Finite Group Databasebeta

← #33994610

Subgroups — #33994610

Order 18688.

8042 conjugacy classes of subgroups.

The subgroup lattice has 2926 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624249C212yesmaximal, complemented
2#22624245C212yesmaximal, complemented
3#22624237C212yesmaximal, complemented
4#22624235C212yesmaximal, complemented
5#22624164C212yesmaximal, complemented
6#22624162C212yesmaximal, complemented
7#22624149C212yesmaximal, complemented
8#22624147C212yesmaximal, complemented
9#22624113C214yesmaximal, complemented
10#22624109C214yesmaximal, complemented
11#22623962C212yesmaximal, complemented
12#22623960C212yesmaximal, complemented
13#22623957C212yesmaximal, complemented
14#22623951C212yesmaximal, complemented
15#22623767C212yesmaximal, complemented
16#22623759C212yesmaximal, complemented
17#22623688C212yesmaximal, complemented
18#22623687C212yesmaximal, complemented
19#22623668C211yesmaximal, characteristic, complemented
20#22623667C211yesmaximal, characteristic, complemented
21#22623663C211yesmaximal, characteristic, complemented
22#22623660C211yesmaximal, characteristic, complemented
23#22623638C211yesmaximal, characteristic, complemented
24#22623634C211yesmaximal, characteristic, complemented
25#22623613C214yesmaximal, complemented
26#22623600C211yesmaximal, characteristic, complemented
27#22623595C211yesmaximal, characteristic, complemented
28#22623593C211yesmaximal, characteristic, complemented
29#22623565C211yesmaximal, characteristic, complemented
30#22623562C211yesmaximal, characteristic, complemented
31#22623559C214yesmaximal, complemented
32C2×#17989094C211yesmaximal, characteristic, complemented
33#525×D73C211yesmaximal, characteristic, complemented
34C2×#121×D73C211yesmaximal, characteristic, complemented
35C73×#3488C211yesmaximal, characteristic, complemented
36C2×#14556637C2211yescharacteristic, complemented
37C2×#14556636C2214yescomplemented
38C2×#41×D73C2211yescharacteristic, complemented
39C22×D4×D73C2212yescomplemented
40C22×D4×D73C2211yescharacteristic, complemented
41C23×C4×D73C2211yescharacteristic, complemented
42#17989333C2214yescomplemented
43#17989332C2214yescomplemented
44#17989332C2214yescomplemented
45#17989331C2214yescomplemented
46#17989326C2214yescomplemented
47#17989326C2214yescomplemented
48#17989325C2214yescomplemented
49#17989324C2214yescomplemented
50#17989302C2212yescomplemented
51#17989301C2212yescomplemented
52#17989301C2212yescomplemented
53#17989300C2212yescomplemented
54#17989297C2212yescomplemented
55#17989295C2212yescomplemented
56#17989295C2212yescomplemented
57#17989292C2212yescomplemented
58#17989289C2212yescomplemented
59#17989289C2212yescomplemented
60#17989287C2212yescomplemented
61#17989287C2214yescomplemented
62#17989286C2214yescomplemented
63#17989285C2212yescomplemented
64#17989284C2212yescomplemented
65#17989284C2212yescomplemented
66#17989284C2212yescomplemented
67#17989284C2212yescomplemented
68#17989283C2212yescomplemented
69#17989283C2212yescomplemented
70#17989282C2214yescomplemented
71#17989281C2212yescomplemented
72#17989281C2212yescomplemented
73#17989280C2214yescomplemented
74#17989278C2212yescomplemented
75#17989276C2212yescomplemented
76#17989271C2212yescomplemented
77#17989271C2212yescomplemented
78#17989268C2214yescomplemented
79#17989267C2214yescomplemented
80#17989266C2214yescomplemented
81#17989266C2214yescomplemented
82#17989265C2214yescomplemented
83#17989264C2214yescomplemented
84#17989263C2214yescomplemented
85#17989260C2214yescomplemented
86#17989256C2212yescomplemented
87#17989256C2212yescomplemented
88#17989255C2212yescomplemented
89#17989248C2212yescomplemented
90#17989247C2212yescomplemented
91#17989244C2212yescomplemented
92#17989242C2212yescomplemented
93#17989241C2212yescomplemented
94#17989238C2212yescomplemented
95#17989238C2212yescomplemented
96#17989237C2212yescomplemented
97#17989237C2212yescomplemented
98#17989237C2212yescomplemented
99#17989237C2212yescomplemented
100#17989234C2212yescomplemented
101#17989234C2214yescomplemented
102#17989234C2212yescomplemented
103#17989234C2214yescomplemented
104#17989233C2214yescomplemented
105#17989232C2214yescomplemented
106#17989231C2214yescomplemented
107#17989231C2214yescomplemented
108#17989231C2212yescomplemented
109#17989231C2214yescomplemented
110#17989230C2212yescomplemented
111#17989230C2212yescomplemented
112#17989228C2212yescomplemented
113#17989227C2214yescomplemented
114#17989227C2214yescomplemented
115#17989226C2214yescomplemented
116#17989226C2214yescomplemented
117#17989226C2214yescomplemented
118#17989226C2214yescomplemented
119#17989226C2214yescomplemented
120#17989225C2214yescomplemented
121#17989225C2212yescomplemented
122#17989225C2212yescomplemented
123#17989225C2212yescomplemented
124#17989225C2212yescomplemented
125#17989225C2212yescomplemented
126#17989224C2214yescomplemented
127#17989224C2214yescomplemented
128#17989224C2214yescomplemented
129#17989224C2214yescomplemented
130#17989222C2214yescomplemented
131#17989222C2212yescomplemented
132#17989222C2212yescomplemented
133#17989221C2214yescomplemented
134#17989221C2212yescomplemented
135#17989221C2212yescomplemented
136#17989221C2212yescomplemented
137D4×C22⋊D73C2214yescomplemented
138D4×C22⋊D73C2214yescomplemented
139D4×C22⋊D73C2214yescomplemented
140D4×C22⋊D73C2212yescomplemented
141D4×C22⋊D73C2212yescomplemented
142D4×C22⋊D73C2212yescomplemented
143D4×C22⋊D73C2212yescomplemented
144D4×C22⋊D73C2212yescomplemented
145D4×C22⋊D73C2212yescomplemented
146#17989219C2214yescomplemented
147#17989219C2214yescomplemented
148#17989218C2211yescharacteristic, complemented
149#17989215C2211yescharacteristic, complemented
150#17989212C2214yescomplemented
151#17989210C2212yescomplemented
152#17989209C2212yescomplemented
153#17989206C2212yescomplemented
154#17989204C2212yescomplemented
155#17989191C2212yescomplemented
156#17989191C2214yescomplemented
157#17989190C2212yescomplemented
158#17989190C2212yescomplemented
159#17989189C2214yescomplemented
160#17989188C2212yescomplemented
161#17989187C2214yescomplemented
162#17989187C2214yescomplemented
163#17989183C2214yescomplemented
164#17989182C2214yescomplemented
165#17989179C2214yescomplemented
166#17989179C2214yescomplemented
167#17989175C2214yescomplemented
168#17989173C2214yescomplemented
169#17989172C2214yescomplemented
170#17989172C2214yescomplemented
171#17989171C2214yescomplemented
172#17989171C2214yescomplemented
173#17989170C2214yescomplemented
174#17989169C2214yescomplemented
175#17989169C2214yescomplemented
176#17989169C2214yescomplemented
177#17989167C2212yescomplemented
178#17989166C2214yescomplemented
179#17989165C2211yescharacteristic, complemented
180#17989165C2212yescomplemented
181#17989165C2212yescomplemented
182#17989164C2214yescomplemented
183#17989154C2211yescharacteristic, complemented
184#17989154C2212yescomplemented
185#17989153C2214yescomplemented
186#17989153C2212yescomplemented
187#17989151C2211yescharacteristic, complemented
188#17989151C2211yescharacteristic, complemented
189#17989151C2212yescomplemented
190#17989150C2214yescomplemented
191#17989147C2214yescomplemented
192#17989147C2214yescomplemented
193#17989147C2214yescomplemented
194#17989147C2214yescomplemented
195#17989147C2214yescomplemented
196#17989146C2214yescomplemented
197#17989146C2214yescomplemented
198#17989145C2214yescomplemented
199#17989145C2214yescomplemented
200#17989135C2212yescomplemented
201#17989134C2212yescomplemented
202#17989132C2212yescomplemented
203#17989132C2212yescomplemented
204#17989124C2212yescomplemented
205#17989123C2212yescomplemented
206#17989118C2212yescomplemented
207#17989116C2212yescomplemented
208#17989100C2211yescharacteristic, complemented
209#17989100C2211yescharacteristic, complemented
210#17989100C2212yescomplemented
211#17989099C2211yescharacteristic, complemented
212#17989098C2211yescharacteristic, complemented
213#17989098C2212yescomplemented
214#17989097C2214yescomplemented
215#17989097C2211yescharacteristic, complemented
216#17989097C2211yescharacteristic, complemented
217#17989096C2214yescomplemented
218#17989096C2212yescomplemented
219#17989096C2212yescomplemented
220#17989095C2212yescomplemented
221#17989094C2211yescharacteristic, complemented
222#17989094C2211yescharacteristic, complemented
223#17989094C2211yescharacteristic, complemented
224#17989094C2212yescomplemented
225#17989094C2211yescharacteristic, complemented
226#17989094C2211yescharacteristic, complemented
227#17989094C2212yescomplemented
228#17989094C2212yescomplemented
229#17989094C2211yescharacteristic, complemented
230#17989094C2211yescharacteristic, complemented
231#17989094C2212yescomplemented
232#17989094C2211yescharacteristic, complemented
233#17989094C2211yescharacteristic, complemented
234#17989094C2212yescomplemented
235#17989093C2212yescomplemented
236C2×#14556572C2212yescomplemented
237#123×D73C2212yescomplemented
238C2×#14556567C2211yescharacteristic, complemented
239C2×#14556567C2211yescharacteristic, complemented
240C22⋊Q8×D73C2211yescharacteristic, complemented
241C22⋊Q8×D73C2211yescharacteristic, complemented
242C2×#14556566C2211yescharacteristic, complemented
243C2×#14556565C2211yescharacteristic, complemented
244C2×#14556565C2212yescomplemented
245C2×#14556564C2212yescomplemented
246C2×#14556563C2212yescomplemented
247C2×#14556562C2211yescharacteristic, complemented
248C2×#14556562C2211yescharacteristic, complemented
249C2×#14556562C2211yescharacteristic, complemented
250C2×#14556562C2212yescomplemented
251#121×D73C2212yescomplemented
252#121×D73C2212yescomplemented
253#121×D73C2212yescomplemented
254#121×D73C2212yescomplemented
255#121×D73C2212yescomplemented
256#121×D73C2212yescomplemented
257#121×D73C2212yescomplemented
258#121×D73C2212yescomplemented
259#121×D73C2211yescharacteristic, complemented
260#121×D73C2211yescharacteristic, complemented
261#121×D73C2212yescomplemented
262C2×#14556559C2212yescomplemented
263C2×#14556559C2214yescomplemented
264#120×D73C2212yescomplemented
265#120×D73C2214yescomplemented
266#17989070C2211yescharacteristic, complemented
267#17989070C2211yescharacteristic, complemented
268#17989068C2211yescharacteristic, complemented
269#17989062C2211yescharacteristic, complemented
270#17989061C2211yescharacteristic, complemented
271#17989060C2214yescomplemented
272#17989059C2214yescomplemented
273#17989059C2214yescomplemented
274C2×C4×C22⋊D73C2212yescomplemented
275C2×C4×C22⋊D73C2212yescomplemented
276C4×D4×D73C2212yescomplemented
277C4×D4×D73C2212yescomplemented
278C2×#14556550C2211yescharacteristic, complemented
279#117×D73C2211yescharacteristic, complemented
280C2×C4⋊C4×D73C2211yescharacteristic, complemented
281C2×C22⋊C4×D73C2212yescomplemented
282C2×H(5,𝔽2)×C73C2211yescharacteristic, complemented
283C22×#41×C73C2211yescharacteristic, complemented
284#550×C73C2212yescomplemented
285#548×C73C2212yescomplemented
286#546×C73C2214yescomplemented
287#546×C73C2212yescomplemented
288D42×C73C2214yescomplemented
289D42×C73C2212yescomplemented
290#537×C73C2211yescharacteristic, complemented
291#537×C73C2212yescomplemented
292#535×C73C2211yescharacteristic, complemented
293#535×C73C2212yescomplemented
294#525×C73C2211yescharacteristic, complemented
295#525×C73C2212yescomplemented
296C2×#121×C73C2211yescharacteristic, complemented
297C2×#121×C73C2212yescomplemented
298#520×C73C2211yescharacteristic, complemented
299C24×D73C2311yescharacteristic
300C24×D73C2312yes—
301#14556637—44no—
302#14556636—416no—
303C2×#11924029C2311yescharacteristic, complemented
304C2×#11924029C2312yescomplemented
305C2×#11924028C2311yescharacteristic
306C2×#11924028C2314yes—
307C2×#11924028C2314yescomplemented
308C2×#11924028C2312yescomplemented
309C2×#11924028C2312yescomplemented
310C2×#11924027C2314yes—
311C2×#11924027C2312yes—
312C2×#11924027C2314yescomplemented
313C2×#11924027C2314yescomplemented
314C2×#11924027C2314yescomplemented
315C2×#11924027C2311yescharacteristic, complemented
316#41×D73—44no—
317C2×Q8×D73C2311yescharacteristic, complemented
318C22×D292C2311yescharacteristic
319C22×D292C2312yes—
320C22×D292C2312yescomplemented
321C22×C22⋊D73C2312yes—
322C22×C22⋊D73C2312yes—
323C22×C22⋊D73C2314yes—
324C22×C22⋊D73C2314yes—
325C22×C22⋊D73C2312yes—
326C22×C22⋊D73C2312yes—
327C22×C22⋊D73C2312yes—
328C22×C22⋊D73C2314yescomplemented
329C22×C22⋊D73C2314yescomplemented
330C2×D4×D73—44no—
331C2×D4×D73—48no—
332C2×D4×D73C2312yes—
333C2×D4×D73C2314yes—
334C2×D4×D73C2314yes—
335C2×D4×D73C2314yes—
336C2×D4×D73C2314yes—
337C2×D4×D73C2314yes—
338C2×D4×D73C2314yes—
339C2×D4×D73C2314yes—
340C2×D4×D73C2312yes—
341C2×D4×D73C2312yes—
342C2×D4×D73C2312yes—
343C2×D4×D73C2312yes—
344C2×D4×D73C2312yes—
345C2×D4×D73C2312yes—
346C2×D4×D73C2314yescomplemented
347C2×D4×D73C2312yescomplemented
348C2×D4×D73C2311yescharacteristic, complemented
349C23×Dic73C2311yescharacteristic
350C22×C4×D73—44no—
351C22×C4×D73C2311yescharacteristic
352C22×C4×D73C2311yescharacteristic
353C22×C4×D73C2311yescharacteristic
354C22×C4×D73C2311yescharacteristic
355C22×C4×D73C2311yescharacteristic
356C22×C4×D73C2311yescharacteristic
357C22×C4×D73C2311yescharacteristic
358C22×C4×D73C2311yescharacteristic
359C22×C4×D73C2311yescharacteristic
360C22×C4×D73C2311yescharacteristic
361C22×C4×D73C2311yescharacteristic
362C22×C4×D73C2311yescharacteristic
363C22×C4×D73C2312yes—
364C22×C4×D73C2312yescomplemented
365#14556591C2312yescomplemented
366#14556590C2312yescomplemented
367#14556590C2312yescomplemented
368#14556590C2312yescomplemented
369#14556587C2312yescomplemented
370#14556587C2312yescomplemented
371#14556587C2312yescomplemented
372#14556587C2314yescomplemented
373#14556587C2314yescomplemented
374#14556587C2314yescomplemented
375#14556586C2314yescomplemented
376#14556586C2314yescomplemented
377#14556586C2314yescomplemented
378#14556585C2314yescomplemented
379#14556585C2314yescomplemented
380#14556584C2314yescomplemented
381#14556584C2314yescomplemented
382#14556584C2314yescomplemented
383#14556584C2314yescomplemented
384#14556584C2314yescomplemented
385#14556584C2314yescomplemented
386#14556584C2314yescomplemented
387#14556583C2314yescomplemented
388#14556583C2312yescomplemented
389#14556582C2312yescomplemented
390#14556582C2312yescomplemented
391#14556582C2312yescomplemented
392#14556581C2314yescomplemented
393#14556581C2314yescomplemented
394#14556581C2314yescomplemented
395#14556580C2312yescomplemented
396#14556580C2312yescomplemented
397#14556580C2314yescomplemented
398#14556579C2314yescomplemented
399#14556578C2314yescomplemented
400#14556578C2314yescomplemented
401#14556578C2314yescomplemented
402#14556578C2312yescomplemented
403#14556577C2314yescomplemented
404#14556577C2314yescomplemented
405#14556577C2314yescomplemented
406#14556577C2314yescomplemented
407#14556577C2314yescomplemented
408#14556577C2314yescomplemented
409#14556576C2314yes—
410#14556576C2314yescomplemented
411#14556576C2314yescomplemented
412#14556576C2312yescomplemented
413#14556576C2314yescomplemented
414#14556576C2312yescomplemented
415#14556575C2312yes—
416#14556575C2314yescomplemented
417#14556575C2314yescomplemented
418#14556575C2314yescomplemented
419#14556575C2314yescomplemented
420#14556574C2312yes—
421#14556574C2314yescomplemented
422#14556574C2314yescomplemented
423#14556574C2314yescomplemented
424#14556574C2314yescomplemented
425#14556574C2314yescomplemented
426#14556573C2314yes—
427#14556573C2314yes—
428#14556573C2314yes—
429#14556573C2314yescomplemented
430#14556573C2314yescomplemented
431#14556573C2314yescomplemented
432#14556573C2314yescomplemented
433#14556573C2314yescomplemented
434#14556573C2314yescomplemented
435#14556573C2314yescomplemented
436#14556573C2314yescomplemented
437#14556573C2312yescomplemented
438#14556573C2312yescomplemented
439#14556572C2312yes—
440#14556572C2312yes—
441#14556572C2312yes—
442#14556572C2312yes—
443#14556572C2312yes—
444#14556572C2314yescomplemented
445#14556572C2314yescomplemented
446#14556572C2314yescomplemented
447#14556572C2314yescomplemented
448#14556572C2314yescomplemented
449#14556572C2314yescomplemented
450#14556572C2312yescomplemented
451#14556572C2314yescomplemented
452#14556572C2312yescomplemented
453#14556572C2312yescomplemented
454#14556572C2312yescomplemented
455#14556571C2314yes—
456#14556571C2311yescharacteristic
457#14556571C2311yescharacteristic
458#14556571C2314yescomplemented
459#14556570C2314yes—
460#14556570C2311yescharacteristic, complemented
461#14556570C2312yescomplemented
462#14556570C2314yescomplemented
463#14556570C2314yescomplemented
464#14556570C2311yescharacteristic, complemented
465#14556569C2312yes—
466#14556569C2314yes—
467#14556569C2312yes—
468#14556569C2314yescomplemented
469#14556569C2314yescomplemented
470#14556569C2314yescomplemented
471#14556568C2314yes—
472#14556568C2314yescomplemented
473#14556568C2314yescomplemented
474#14556568C2314yescomplemented
475#14556568C2314yescomplemented
476#14556568C2312yescomplemented
477#14556568C2312yescomplemented
478#14556567C2312yes—
479#14556567C2311yescharacteristic
480#14556567C2311yescharacteristic
481#14556567C2311yescharacteristic
482#14556567C2311yescharacteristic
483#14556567C2311yescharacteristic
484#14556567C2311yescharacteristic
485#14556567C2312yes—
486#14556567C2311yescharacteristic, complemented
487#14556567C2311yescharacteristic, complemented
488#14556567C2312yescomplemented
489#14556567C2314yescomplemented
490#14556567C2311yescharacteristic, complemented
491#14556567C2312yescomplemented
492#14556567C2312yescomplemented
493#14556567C2311yescharacteristic, complemented
494#14556566C2312yes—
495#14556566C2312yes—
496#14556566C2311yescharacteristic
497#14556566C2311yescharacteristic
498#14556566C2312yes—
499#14556566C2312yes—
500#14556566C2314yescomplemented
501#14556565C2312yes—
502#14556565C2312yes—
503#14556565C2312yes—
504#14556565C2312yes—
505#14556565C2311yescharacteristic, complemented
506#14556565C2314yescomplemented
507#14556565C2314yescomplemented
508#14556565C2311yescharacteristic, complemented
509#14556565C2312yescomplemented
510#14556565C2312yescomplemented
511#14556565C2312yescomplemented
512#14556565C2312yescomplemented
513#14556565C2312yescomplemented
514#14556565C2314yescomplemented
515#14556565C2314yescomplemented
516#14556564C2312yes—
517#14556564C2314yes—
518#14556564C2314yes—
519#14556564C2314yes—
520#14556564C2312yes—
521#14556564C2314yes—
522#14556564C2314yes—
523#14556564C2314yescomplemented
524#14556564C2314yescomplemented
525#14556564C2314yescomplemented
526#14556564C2314yescomplemented
527#14556564C2314yescomplemented
528#14556564C2314yescomplemented
529#14556564C2314yescomplemented
530#14556563C2314yes—
531#14556563C2314yes—
532#14556563C2314yes—
533#14556563C2314yes—
534#14556563C2314yes—
535#14556563C2314yescomplemented
536#14556563C2314yescomplemented
537#14556563C2314yescomplemented
538#14556563C2314yescomplemented
539#14556563C2312yescomplemented
540#14556563C2314yescomplemented
541#14556563C2314yescomplemented
542#14556563C2314yescomplemented
543#14556563C2314yescomplemented
544#14556563C2314yescomplemented
545#14556563C2314yescomplemented
546#14556563C2314yescomplemented
547#14556563C2314yescomplemented
548#14556563C2314yescomplemented
549#14556563C2314yescomplemented
550#14556563C2314yescomplemented
551#14556563C2312yescomplemented
552#14556562C2312yes—
553#14556562C2312yes—
554#14556562C2314yes—
555#14556562C2312yes—
556#14556562C2311yescharacteristic
557#14556562C2311yescharacteristic
558#14556562C2311yescharacteristic
559#14556562C2311yescharacteristic
560#14556562C2312yes—
561#14556562C2311yescharacteristic
562#14556562C2311yescharacteristic
563#14556562C2312yes—
564#14556562C2312yes—
565#14556562C2311yescharacteristic, complemented
566#14556562C2311yescharacteristic, complemented
567#14556562C2314yescomplemented
568#14556562C2312yescomplemented
569#14556562C2314yescomplemented
570#14556562C2314yescomplemented
571#14556562C2314yescomplemented
572#14556562C2314yescomplemented
573#14556562C2314yescomplemented
574#14556562C2311yescharacteristic, complemented
575#14556562C2314yescomplemented
576#14556562C2311yescharacteristic, complemented
577#14556562C2312yescomplemented
578#14556562C2312yescomplemented
579#14556562C2312yescomplemented
580#14556562C2314yescomplemented
581#14556562C2312yescomplemented
582#14556561C2312yes—
583#14556561C2314yes—
584#14556561C2314yes—
585#14556561C2312yes—
586#14556561C2312yes—
587#14556561C2314yescomplemented
588#14556561C2314yescomplemented
589#14556560C2314yes—
590#14556560C2312yes—
591#14556560C2314yescomplemented
592#14556560C2314yescomplemented
593#14556560C2314yescomplemented
594#14556560C2314yescomplemented
595#14556560C2314yescomplemented
596#14556559C2312yes—
597#14556559C2314yes—
598#14556559C2314yes—
599#14556559C2314yes—
600#14556559C2312yes—
601#14556559C2312yes—
602#14556559C2314yes—
603#14556559C2314yes—
604#14556559C2314yes—
605#14556559C2314yes—
606#14556559C2314yes—
607#14556559C2312yes—
608#14556559C2312yes—
609#14556559C2312yes—
610#14556559C2312yes—
611#14556559C2312yes—
612#14556559C2312yes—
613#14556559C2312yes—
614#14556559C2312yes—
615#14556559C2314yescomplemented
616#14556559C2314yescomplemented
617#14556559C2314yescomplemented
618#14556559C2314yescomplemented
619#14556559C2314yescomplemented
620#14556559C2314yescomplemented
621Q8×Dic73C2312yescomplemented
622Q8×Dic73C2312yescomplemented
623#14556556C2312yescomplemented
624C4×D292C2314yes—
625C4×D292C2312yes—
626C4×D292C2312yes—
627C4×D292C2314yescomplemented
628C4×D292C2312yescomplemented
629C4×D292C2312yescomplemented
630D4×Dic73C2314yes—
631D4×Dic73C2314yes—
632D4×Dic73C2312yescomplemented
633D4×Dic73C2312yescomplemented
634D4×Dic73C2312yescomplemented
635D4×Dic73C2314yescomplemented
636D4×Dic73C2312yescomplemented
637D4×Dic73C2312yescomplemented
638D4×Dic73C2314yescomplemented
639D4×Dic73C2312yescomplemented
640D4×Dic73C2312yescomplemented
641D4×Dic73C2312yescomplemented
642#14556553C2312yes—
643#14556553C2312yes—
644#14556553C2312yescomplemented
645#14556553C2312yescomplemented
646#14556553C2312yescomplemented
647#14556553C2314yescomplemented
648C4×C22⋊D73C2312yes—
649C4×C22⋊D73C2314yes—
650C4×C22⋊D73C2312yes—
651C4×C22⋊D73C2314yes—
652C4×C22⋊D73C2312yes—
653C4×C22⋊D73C2312yes—
654C4×C22⋊D73C2312yes—
655C4×C22⋊D73C2312yes—
656C4×C22⋊D73C2312yes—
657C4×C22⋊D73C2312yes—
658C4×C22⋊D73C2312yes—
659C4×C22⋊D73C2312yes—
660C4×C22⋊D73C2314yescomplemented
661C4×C22⋊D73C2314yescomplemented
662C4×C22⋊D73C2312yescomplemented
663C4×C22⋊D73C2312yescomplemented
664C4×C22⋊D73C2314yescomplemented
665C4×C22⋊D73C2314yescomplemented
666C4×C22⋊D73C2314yescomplemented
667C4×C22⋊D73C2312yescomplemented
668C4×C22⋊D73C2312yescomplemented
669C4×C22⋊D73C2312yescomplemented
670C4×C22⋊D73C2312yescomplemented
671C4×C22⋊D73C2312yescomplemented
672C4×C22⋊D73C2312yescomplemented
673C4×C22⋊D73C2312yescomplemented
674C4×C22⋊D73C2312yescomplemented
675#14556551C2312yes—
676#14556551C2314yes—
677#14556551C2314yes—
678#14556551C2312yes—
679#14556551C2314yescomplemented
680#14556551C2314yescomplemented
681#14556551C2314yescomplemented
682#14556551C2312yescomplemented
683#14556551C2314yescomplemented
684#14556551C2314yescomplemented
685#14556551C2312yescomplemented
686#14556550C2311yescharacteristic
687#14556550C2311yescharacteristic
688#14556550C2311yescharacteristic
689#14556550C2312yes—
690#14556550C2312yescomplemented
691#14556550C2312yescomplemented
692#14556550C2312yescomplemented
693#14556550C2311yescharacteristic, complemented
694#14556550C2311yescharacteristic, complemented
695#14556549C2314yes—
696#14556549C2314yescomplemented
697#14556549C2312yescomplemented
698#14556549C2311yescharacteristic, complemented
699#14556549C2311yescharacteristic, complemented
700#14556548C2314yes—
701#14556548C2314yescomplemented
702#14556548C2312yescomplemented
703#14556547C2312yes—
704#14556547C2314yescomplemented
705#14556547C2314yescomplemented
706C2×C4⋊Dic73C2311yescharacteristic
707C2×C4⋊Dic73C2312yescomplemented
708C2×C4⋊Dic73C2312yescomplemented
709C2×C4⋊Dic73C2311yescharacteristic, complemented
710C2×C4⋊Dic73C2311yescharacteristic, complemented
711C2×#11924007C2312yes—
712C2×#11924007C2312yescomplemented
713C2×#11924007C2312yescomplemented
714C4⋊C4×D73C2312yes—
715C4⋊C4×D73C2312yes—
716C4⋊C4×D73C2312yes—
717C4⋊C4×D73C2312yes—
718C4⋊C4×D73C2312yescomplemented
719C4⋊C4×D73C2312yescomplemented
720C4⋊C4×D73C2311yescharacteristic, complemented
721C4⋊C4×D73C2311yescharacteristic, complemented
722C4⋊C4×D73C2312yescomplemented
723C2×C22⋊Dic73C2314yes—
724C2×C22⋊Dic73C2312yes—
725C2×C22⋊Dic73C2312yes—
726C2×C22⋊Dic73C2312yescomplemented
727C2×C22⋊Dic73C2314yescomplemented
728C2×C22⋊Dic73C2312yescomplemented
729C2×#11924005C2312yes—
730C2×#11924005C2314yes—
731C2×#11924005C2314yes—
732C2×#11924005C2312yes—
733C2×#11924005C2312yes—
734C2×#11924005C2312yes—
735C2×#11924005C2314yescomplemented
736C22⋊C4×D73C2312yes—
737C22⋊C4×D73C2314yes—
738C22⋊C4×D73C2314yes—
739C22⋊C4×D73C2314yes—
740C22⋊C4×D73C2314yes—
741C22⋊C4×D73C2314yes—
742C22⋊C4×D73C2312yes—
743C22⋊C4×D73C2314yes—
744C22⋊C4×D73C2312yes—
745C22⋊C4×D73C2314yes—
746C22⋊C4×D73C2312yescomplemented
747C22⋊C4×D73C2314yescomplemented
748C22⋊C4×D73C2312yescomplemented
749C2×C4×Dic73C2312yescomplemented
750C42×D73C2312yescomplemented
751H(5,𝔽2)×C73—44no—
752C2×#41×C73—44no—
753C2×#41×C73C2311yescharacteristic
754C2×#41×C73C2311yescharacteristic
755C2×#41×C73C2311yescharacteristic
756C2×#41×C73C2312yes—
757C2×#41×C73C2312yescomplemented
758C2×#41×C73C2312yescomplemented
759C2×#41×C73C2312yescomplemented
760C2×#41×C73C2311yescharacteristic, complemented
761C2×#41×C73C2311yescharacteristic, complemented
762C22×Q8×C73C2311yescharacteristic, complemented
763C22×D4×C73C2311yescharacteristic
764C22×D4×C73C2314yes—
765C22×D4×C73C2312yes—
766C22×D4×C73C2312yes—
767C22×D4×C73C2314yescomplemented
768C22×D4×C73C2312yescomplemented
769C22×D4×C73C2312yescomplemented
770C22×D4×C73C2311yescharacteristic, complemented
771C23×C4×C73C2311yescharacteristic
772C23×C4×C73C2312yescomplemented
773#127×C73C2312yescomplemented
774#127×C73C2314yescomplemented
775#124×C73C2314yescomplemented
776#124×C73C2312yescomplemented
777#123×C73C2312yes—
778#123×C73C2314yescomplemented
779C22⋊Q8×C73C2311yescharacteristic, complemented
780C22⋊Q8×C73C2312yescomplemented
781C22⋊Q8×C73C2314yescomplemented
782C22⋊Q8×C73C2311yescharacteristic, complemented
783C22⋊Q8×C73C2312yescomplemented
784#121×C73C2312yes—
785#121×C73C2314yes—
786#121×C73C2312yes—
787#121×C73C2312yes—
788#121×C73C2312yes—
789#121×C73C2311yescharacteristic, complemented
790#121×C73C2314yescomplemented
791#121×C73C2314yescomplemented
792#121×C73C2314yescomplemented
793#121×C73C2312yescomplemented
794#121×C73C2314yescomplemented
795#121×C73C2314yescomplemented
796#121×C73C2311yescharacteristic, complemented
797#121×C73C2312yescomplemented
798#121×C73C2312yescomplemented
799#121×C73C2312yescomplemented
800#120×C73C2314yes—
801#120×C73C2312yes—
802#120×C73C2314yescomplemented
803#120×C73C2314yescomplemented
804#120×C73C2314yescomplemented
805C4×Q8×C73C2312yescomplemented
806C4×D4×C73C2314yes—
807C4×D4×C73C2312yescomplemented
808C4×D4×C73C2314yescomplemented
809C4×D4×C73C2314yescomplemented
810C4×D4×C73C2312yescomplemented
811C4×D4×C73C2312yescomplemented
812#117×C73C2311yescharacteristic
813#117×C73C2312yescomplemented
814C2×C4⋊C4×C73C2311yescharacteristic
815C2×C4⋊C4×C73C2312yescomplemented
816C2×C22⋊C4×C73C2312yes—
817C2×C22⋊C4×C73C2314yescomplemented
818C23×D73—24no—
819C23×D73—42no—
820C23×D73—44no—
821C23×D73—44no—
822C23×D73—42no—
823C23×D73—44no—
824C23×D73C2411yescharacteristic
825C23×D73C2411yescharacteristic
826C23×D73C2411yescharacteristic
827C23×D73C2411yescharacteristic
828C23×D73C2414yes—
829C23×D73C2414yes—
830C23×D73C2412yes—
831C23×D73C2412yes—
832C23×D73C2411yescharacteristic
833C23×D73C2414yes—
834C23×D73C2411yescharacteristic
835#11924029—42no—
836#11924029—44no—
837#11924028—24no—
838#11924028—44no—
839#11924028—44no—
840#11924028—48no—
841#11924028—48no—
842#11924027—42no—
843#11924027—48no—
844#11924027—48no—
845#11924027—44no—
846#11924027—48no—
847#11924027—48no—
848C2×Dic146C2411yescharacteristic
849C2×Dic146C2414yes—
850C2×Dic146C2414yes—
851C2×Dic146C2412yes—
852Q8×D73—42no—
853C2×D292—24no—
854C2×D292—44no—
855C2×D292—44no—
856C2×D292C2412yes—
857C2×D292C2412yes—
858C2×D292C2412yes—
859C2×D292C2411yescharacteristic
860C2×D292C2414yes—
861C2×D292C2412yes—
862C2×D292C2412yes—
863C2×D292C2414yes—
864C2×D292C2414yes—
865C2×C22⋊D73—28no—
866C2×C22⋊D73—44no—
867C2×C22⋊D73—44no—
868C2×C22⋊D73—44no—
869C2×C22⋊D73—48no—
870C2×C22⋊D73—48no—
871C2×C22⋊D73—48no—
872C2×C22⋊D73—44no—
873C2×C22⋊D73—48no—
874C2×C22⋊D73C2412yes—
875C2×C22⋊D73C2412yes—
876C2×C22⋊D73C2412yes—
877C2×C22⋊D73C2414yes—
878C2×C22⋊D73C2412yes—
879C2×C22⋊D73C2414yes—
880C2×C22⋊D73C2412yes—
881C2×C22⋊D73C2412yes—
882C2×C22⋊D73C2412yes—
883C2×C22⋊D73C2412yes—
884C2×C22⋊D73C2412yes—
885C2×C22⋊D73C2412yes—
886C2×C22⋊D73C2414yes—
887C2×C22⋊D73C2414yes—
888C2×C22⋊D73C2412yes—
889C2×C22⋊D73C2414yes—
890C2×C22⋊D73C2412yes—
891C2×C22⋊D73C2412yes—
892C2×C22⋊D73C2412yes—
893C2×C22⋊D73C2414yes—
894C2×C22⋊D73C2414yes—
895C2×C22⋊D73C2414yes—
896C2×C22⋊D73C2412yes—
897C2×C22⋊D73C2414yes—
898C2×C22⋊D73C2414yes—
899C2×C22⋊D73C2414yes—
900C2×C22⋊D73C2414yes—
901C2×C22⋊D73C2414yes—
902C2×C22⋊D73C2414yes—
903D4×D73—216no—
904D4×D73—28no—
905D4×D73—44no—
906D4×D73—44no—
907D4×D73—44no—
908D4×D73—44no—
909D4×D73—42no—
910D4×D73—44no—
911D4×D73—48no—
912D4×D73—48no—
913D4×D73—48no—
914D4×D73—44no—
915D4×D73—48no—
916D4×D73—48no—
917D4×D73—48no—
918D4×D73—44no—
919D4×D73—48no—
920C22×Dic73—42no—
921C22×Dic73C2412yes—
922C22×Dic73C2411yescharacteristic
923C22×Dic73C2411yescharacteristic
924C22×Dic73C2412yes—
925C22×Dic73C2412yes—
926C22×Dic73C2414yes—
927C22×Dic73C2414yes—
928C22×Dic73C2414yes—
929C22×Dic73C2411yescharacteristic
930C22×Dic73C2411yescharacteristic
931C22×Dic73C2412yes—
932C22×Dic73C2414yes—
933C22×Dic73C2411yescharacteristic
934C22×Dic73C2411yescharacteristic
935C2×C4×D73—24no—
936C2×C4×D73—24no—
937C2×C4×D73—42no—
938C2×C4×D73—42no—
939C2×C4×D73—42no—
940C2×C4×D73—42no—
941C2×C4×D73—42no—
942C2×C4×D73—42no—
943C2×C4×D73—42no—
944C2×C4×D73—42no—
945C2×C4×D73—44no—
946C2×C4×D73—44no—
947C2×C4×D73—42no—
948C2×C4×D73—42no—
949C2×C4×D73C2411yescharacteristic
950C2×C4×D73C2412yes—
951C2×C4×D73C2414yes—
952C2×C4×D73C2411yescharacteristic
953C2×C4×D73C2411yescharacteristic
954C2×C4×D73C2411yescharacteristic
955C2×C4×D73C2411yescharacteristic
956C2×C4×D73C2411yescharacteristic
957C2×C4×D73C2412yes—
958C2×C4×D73C2411yescharacteristic
959C2×C4×D73C2411yescharacteristic
960C2×C4×D73C2412yes—
961C2×C4×D73C2411yescharacteristic
962C2×C4×D73C2411yescharacteristic
963C2×C4×D73C2411yescharacteristic
964C2×C4×D73C2411yescharacteristic
965C2×C4×D73C2414yes—
966C2×C4×D73C2412yes—
967C2×C4×D73C2414yes—
968C2×C4×D73C2414yes—
969C2×C4×D73C2414yes—
970C2×C4×D73C2411yescharacteristic
971C2×C4×D73C2411yescharacteristic
972C2×C4×D73C2412yes—
973C2×C4×D73C2414yes—
974C2×C4×D73C2411yescharacteristic
975C2×C4×D73C2411yescharacteristic
976C4⋊Dic73C2412yes—
977C4⋊Dic73C2412yes—
978C4⋊Dic73C2411yescharacteristic
979C4⋊Dic73C2411yescharacteristic
980C4⋊Dic73C2411yescharacteristic
981C4⋊Dic73C2412yes—
982C4⋊Dic73C2412yes—
983C4⋊Dic73C2411yescharacteristic
984C4⋊Dic73C2411yescharacteristic
985C4⋊Dic73C2411yescharacteristic
986C4⋊Dic73C2412yes—
987C4⋊Dic73C2412yes—
988C4⋊Dic73C2414yes—
989C4⋊Dic73C2414yes—
990C4⋊Dic73C2414yes—
991C4⋊Dic73C2414yes—
992#11924007C2414yes—
993#11924007C2414yes—
994#11924007C2412yes—
995#11924007C2412yes—
996#11924007C2412yes—
997#11924007C2412yes—
998#11924007C2412yes—
999#11924007C2412yes—
1000#11924007C2414yes—
1001#11924007C2412yes—
1002#11924007C2412yes—
1003#11924007C2412yes—
1004#11924007C2412yes—
1005#11924007C2412yes—
1006#11924007C2412yes—
1007#11924007C2412yes—
1008#11924007C2412yes—
1009#11924007C2414yes—
1010#11924007C2414yes—
1011#11924007C2414yes—
1012#11924007C2414yes—
1013#11924007C2414yes—
1014C22⋊Dic73C2414yes—
1015C22⋊Dic73C2412yes—
1016C22⋊Dic73C2414yes—
1017C22⋊Dic73C2412yes—
1018C22⋊Dic73C2414yes—
1019C22⋊Dic73C2412yes—
1020C22⋊Dic73C2414yes—
1021C22⋊Dic73C2412yes—
1022C22⋊Dic73C2412yes—
1023C22⋊Dic73C2412yes—
1024C22⋊Dic73C2412yes—
1025C22⋊Dic73C2412yes—
1026C22⋊Dic73C2412yes—
1027C22⋊Dic73C2412yes—
1028C22⋊Dic73C2414yes—
1029C22⋊Dic73C2414yes—
1030C22⋊Dic73C2412yes—
1031C22⋊Dic73C2412yes—
1032C22⋊Dic73C2412yes—
1033C22⋊Dic73C2412yes—
1034C22⋊Dic73C2412yes—
1035C22⋊Dic73C2412yes—
1036C22⋊Dic73C2412yes—
1037C22⋊Dic73C2414yes—
1038C22⋊Dic73C2414yes—
1039C22⋊Dic73C2414yes—
1040#11924005C2412yes—
1041#11924005C2412yes—
1042#11924005C2414yes—
1043#11924005C2414yes—
1044#11924005C2412yes—
1045#11924005C2412yes—
1046#11924005C2414yes—
1047#11924005C2414yes—
1048#11924005C2412yes—
1049#11924005C2412yes—
1050#11924005C2412yes—
1051#11924005C2412yes—
1052#11924005C2414yes—
1053#11924005C2414yes—
1054#11924005C2414yes—
1055#11924005C2412yes—
1056#11924005C2412yes—
1057#11924005C2412yes—
1058#11924005C2412yes—
1059#11924005C2412yes—
1060#11924005C2412yes—
1061#11924005C2414yes—
1062#11924005C2412yes—
1063#11924005C2414yes—
1064#11924005C2412yes—
1065#11924005C2412yes—
1066#11924005C2412yes—
1067#11924005C2414yes—
1068#11924005C2414yes—
1069#11924005C2414yes—
1070C4×Dic73C2412yes—
1071C4×Dic73C2412yes—
1072C4×Dic73C2412yes—
1073C4×Dic73C2412yes—
1074C4×Dic73C2412yes—
1075C4×Dic73C2412yes—
1076C4×Dic73C2412yes—
1077C4×Dic73C2414yes—
1078C4×Dic73C2414yes—
1079C4×Dic73C2414yes—
1080C24×C73C2411yescharacteristic
1081C24×C73C2412yes—
1082C24×C73C2412yes—
1083C24×C73C2414yes—
1084#41×C73—24no—
1085#41×C73—24no—
1086#41×C73—24no—
1087#41×C73—44no—
1088#41×C73—44no—
1089#41×C73—42no—
1090#41×C73—42no—
1091#41×C73—44no—
1092#41×C73—44no—
1093C2×Q8×C73—42no—
1094C2×Q8×C73C2411yescharacteristic
1095C2×Q8×C73C2411yescharacteristic
1096C2×Q8×C73C2411yescharacteristic
1097C2×Q8×C73C2412yes—
1098C2×D4×C73—24no—
1099C2×D4×C73—42no—
1100C2×D4×C73—44no—
1101C2×D4×C73—44no—
1102C2×D4×C73—44no—
1103C2×D4×C73—48no—
1104C2×D4×C73—44no—
1105C2×D4×C73—48no—
1106C2×D4×C73C2412yes—
1107C2×D4×C73C2411yescharacteristic
1108C2×D4×C73C2412yes—
1109C2×D4×C73C2414yes—
1110C2×D4×C73C2412yes—
1111C2×D4×C73C2412yes—
1112C2×D4×C73C2412yes—
1113C2×D4×C73C2412yes—
1114C2×D4×C73C2411yescharacteristic
1115C2×D4×C73C2411yescharacteristic
1116C2×D4×C73C2414yes—
1117C2×D4×C73C2412yes—
1118C2×D4×C73C2414yes—
1119C2×D4×C73C2412yes—
1120C2×D4×C73C2412yes—
1121C2×D4×C73C2414yes—
1122C2×D4×C73C2414yes—
1123C2×D4×C73C2414yes—
1124C2×D4×C73C2414yes—
1125C2×D4×C73C2412yes—
1126C22×C4×C73—24no—
1127C22×C4×C73—44no—
1128C22×C4×C73C2411yescharacteristic
1129C22×C4×C73C2412yes—
1130C22×C4×C73C2411yescharacteristic
1131C22×C4×C73C2411yescharacteristic
1132C22×C4×C73C2412yes—
1133C22×C4×C73C2411yescharacteristic
1134C22×C4×C73C2411yescharacteristic
1135C22×C4×C73C2412yes—
1136C22×C4×C73C2412yes—
1137C22×C4×C73C2412yes—
1138C22×C4×C73C2414yes—
1139C22×C4×C73C2412yes—
1140C22×C4×C73C2412yes—
1141C22×C4×C73C2414yes—
1142C22×C4×C73C2411yescharacteristic
1143C4⋊C4×C73C2412yes—
1144C4⋊C4×C73C2412yes—
1145C4⋊C4×C73C2411yescharacteristic
1146C4⋊C4×C73C2414yes—
1147C4⋊C4×C73C2411yescharacteristic
1148C4⋊C4×C73C2412yes—
1149C4⋊C4×C73C2414yes—
1150C4⋊C4×C73C2412yes—
1151C22⋊C4×C73C2414yes—
1152C22⋊C4×C73C2414yes—
1153C22⋊C4×C73C2412yes—
1154C22⋊C4×C73C2414yes—
1155C22⋊C4×C73C2414yes—
1156C22⋊C4×C73C2412yes—
1157C22⋊C4×C73C2414yes—
1158C22⋊C4×C73C2412yes—
1159C22⋊C4×C73C2414yes—
1160C22⋊C4×C73C2412yes—
1161C22⋊C4×C73C2412yes—
1162C22⋊C4×C73C2414yes—
1163C42×C73C2412yes—
1164C42×C73C2414yes—
1165C23×C73—22no—
1166C23×C73—22no—
1167C23×C73—24no—
1168C23×C73—24no—
1169C23×C73—41no—
1170C23×C73—42no—
1171C23×C73—42no—
1172C23×C73—42no—
1173C23×C73—42no—
1174C23×C73—44no—
1175C23×C73—44no—
1176C23×C73—44no—
1177C23×C73C2514yes—
1178C23×C73C2512yes—
1179C23×C73C2512yes—
1180C23×C73C2512yes—
1181C23×C73C2511yescharacteristic
1182C23×C73C2511yescharacteristic
1183C23×C73C2511yescharacteristic
1184C22×D73—22no—
1185C22×D73—22no—
1186C22×D73—22no—
1187C22×D73—22no—
1188C22×D73—22no—
1189C22×D73—24no—
1190C22×D73—22no—
1191C22×D73—22no—
1192C22×D73—22no—
1193C22×D73—22no—
1194C22×D73—22no—
1195C22×D73—24no—
1196C22×D73—28no—
1197C22×D73—28no—
1198C22×D73—41no—
1199C22×D73—41no—
1200C22×D73—41no—
1201C22×D73—41no—
1202C22×D73—41no—
1203C22×D73—41no—
1204C22×D73—41no—
1205C22×D73—42no—
1206C22×D73—44no—
1207C22×D73—44no—
1208C22×D73—44no—
1209C22×D73—42no—
1210C22×D73—42no—
1211C22×D73—44no—
1212C22×D73—42no—
1213C22×D73—44no—
1214C22×D73—44no—
1215C22×D73—44no—
1216C22×D73—416no—
1217C22×D73—816no—
1218C22×D73H(5,𝔽2)14yescomplemented
1219C22×D73C2514yes—
1220C22×D73C2511yescharacteristic
1221C22×D73C2512yes—
1222C22×D73C2511yescharacteristic
1223C22×D73C2511yescharacteristic
1224C22×D73C2511yescharacteristic
1225Q8×C73—22no—
1226Q8×C73—22no—
1227Q8×C73—22no—
1228Q8×C73—42no—
1229D4×C73—24no—
1230D4×C73—24no—
1231D4×C73—28no—
1232D4×C73—24no—
1233D4×C73—24no—
1234D4×C73—24no—
1235D4×C73—24no—
1236D4×C73—22no—
1237D4×C73—22no—
1238D4×C73—22no—
1239D4×C73—44no—
1240D4×C73—44no—
1241D4×C73—42no—
1242D4×C73—42no—
1243D4×C73—42no—
1244D4×C73—44no—
1245D4×C73—44no—
1246D4×C73—44no—
1247D4×C73—44no—
1248D4×C73—42no—
1249C2×C4×C73—22no—
1250C2×C4×C73—22no—
1251C2×C4×C73—22no—
1252C2×C4×C73—22no—
1253C2×C4×C73—22no—
1254C2×C4×C73—24no—
1255C2×C4×C73—24no—
1256C2×C4×C73—24no—
1257C2×C4×C73—42no—
1258C2×C4×C73—42no—
1259C2×C4×C73—42no—
1260C2×C4×C73—44no—
1261C2×C4×C73—42no—
1262C2×C4×C73—44no—
1263C2×C4×C73H(5,𝔽2)14yescomplemented
1264C2×C4×C73C2512yes—
1265C2×C4×C73C2512yes—
1266C2×C4×C73C2512yes—
1267C2×C4×C73C2514yes—
1268C2×C4×C73C2511yescharacteristic
1269C2×C4×C73C2512yes—
1270C2×C4×C73C2511yescharacteristic
1271C2×C4×C73C2512yes—
1272C2×C4×C73C2511yescharacteristic
1273C2×C4×C73C2511yescharacteristic
1274C22⋊D73—28no—
1275C22⋊D73—24no—
1276C22⋊D73—24no—
1277C22⋊D73—28no—
1278C22⋊D73—24no—
1279C22⋊D73—24no—
1280C22⋊D73—24no—
1281C22⋊D73—24no—
1282C22⋊D73—24no—
1283C22⋊D73—24no—
1284C22⋊D73—24no—
1285C22⋊D73—24no—
1286C22⋊D73—44no—
1287C22⋊D73—44no—
1288C22⋊D73—44no—
1289C22⋊D73—44no—
1290C22⋊D73—44no—
1291C22⋊D73—44no—
1292C22⋊D73—44no—
1293C22⋊D73—44no—
1294C22⋊D73—42no—
1295C22⋊D73—42no—
1296C22⋊D73—42no—
1297C22⋊D73—44no—
1298C22⋊D73—44no—
1299C22⋊D73—42no—
1300C22⋊D73—44no—
1301C22⋊D73—44no—
1302C22⋊D73—42no—
1303C2×Dic73—22no—
1304C2×Dic73—22no—
1305C2×Dic73—24no—
1306C2×Dic73—41no—
1307C2×Dic73—41no—
1308C2×Dic73—41no—
1309C2×Dic73—41no—
1310C2×Dic73—42no—
1311C2×Dic73—42no—
1312C2×Dic73—42no—
1313C2×Dic73—44no—
1314C2×Dic73—44no—
1315C2×Dic73—44no—
1316C2×Dic73—44no—
1317C2×Dic73C2512yes—
1318C2×Dic73C2512yes—
1319C2×Dic73C2512yes—
1320C2×Dic73C2511yescharacteristic
1321C2×Dic73C2512yes—
1322C2×Dic73C2512yes—
1323C2×Dic73C2512yes—
1324C2×Dic73C2514yes—
1325C2×Dic73C2512yes—
1326C2×Dic73C2511yescharacteristic
1327C2×Dic73C2511yescharacteristic
1328C2×Dic73C2511yescharacteristic
1329D292—28no—
1330D292—24no—
1331D292—24no—
1332D292—24no—
1333D292—24no—
1334D292—22no—
1335D292—44no—
1336D292—44no—
1337D292—42no—
1338C4×D73—28no—
1339C4×D73—24no—
1340C4×D73—22no—
1341C4×D73—22no—
1342C4×D73—22no—
1343C4×D73—22no—
1344C4×D73—22no—
1345C4×D73—22no—
1346C4×D73—22no—
1347C4×D73—22no—
1348C4×D73—24no—
1349C4×D73—41no—
1350C4×D73—41no—
1351C4×D73—41no—
1352C4×D73—41no—
1353C4×D73—41no—
1354C4×D73—41no—
1355C4×D73—41no—
1356C4×D73—41no—
1357C4×D73—44no—
1358C4×D73—42no—
1359C4×D73—42no—
1360C4×D73—44no—
1361C4×D73—42no—
1362C4×D73—44no—
1363C4×D73—44no—
1364C4×D73—44no—
1365Dic146—22no—
1366Dic146—42no—
1367Dic146—44no—
1368Dic146—44no—
1369C22×C73—21no—
1370C22×C73—21no—
1371C22×C73—21no—
1372C22×C73—21no—
1373C22×C73—22no—
1374C22×C73—22no—
1375C22×C73—21no—
1376C22×C73—24no—
1377C22×C73—22no—
1378C22×C73—22no—
1379C22×C73—21no—
1380C22×C73—22no—
1381C22×C73—24no—
1382C22×C73—22no—
1383C22×C73—24no—
1384C22×C73—22no—
1385C22×C73—22no—
1386C22×C73—22no—
1387C22×C73—21no—
1388C22×C73—44no—
1389C22×C73—84no—
1390C22×C73—84no—
1391C22×C73—164no—
1392C22×C73C2×H(5,𝔽2)12yes—
1393C22×C73C2×H(5,𝔽2)12yes—
1394C22×C73C2611yescharacteristic
1395C2×D73—28no—
1396C2×D73—21no—
1397C2×D73—21no—
1398C2×D73—21no—
1399C2×D73—21no—
1400C2×D73—21no—
1401C2×D73—21no—
1402C2×D73—21no—
1403C2×D73—22no—
1404C2×D73—22no—
1405C2×D73—24no—
1406C2×D73—24no—
1407C2×D73—21no—
1408C2×D73—24no—
1409C2×D73—22no—
1410C2×D73—21no—
1411C2×D73—44no—
1412C2×D73—44no—
1413C2×D73—44no—
1414C2×D73—44no—
1415C2×D73—44no—
1416C2×D73—84no—
1417C2×D73—88no—
1418C2×D73—88no—
1419C2×D73—84no—
1420C2×D73—164no—
1421C2×D73C2×H(5,𝔽2)12yes—
1422C2×D73C2×H(5,𝔽2)12yes—
1423C2×D73#58512yes—
1424C4×C73—22no—
1425C4×C73—24no—
1426C4×C73—22no—
1427C4×C73—21no—
1428C4×C73—21no—
1429C4×C73—22no—
1430C4×C73—22no—
1431C4×C73—22no—
1432C4×C73C2×H(5,𝔽2)12yes—
1433C4×C73C2×H(5,𝔽2)12yes—
1434Dic73—22no—
1435Dic73—21no—
1436Dic73—22no—
1437Dic73—22no—
1438Dic73—22no—
1439Dic73—24no—
1440Dic73—21no—
1441Dic73—21no—
1442Dic73—21no—
1443Dic73—22no—
1444Dic73—22no—
1445Dic73—22no—
1446#62818—731nomaximal, Sylow
1447C2×C73—22no—
1448C2×C73—22no—
1449C2×C73—41no—
1450C2×C73—44no—
1451C2×C73—42no—
1452C2×C73—42no—
1453C2×C73—42no—
1454C2×C73C22×H(5,𝔽2)11yescharacteristic
1455C2×C73C22×H(5,𝔽2)11yescharacteristic
1456C2×C73C2×#58511yescharacteristic
1457D73—22no—
1458D73—22no—
1459D73—22no—
1460D73—41no—
1461D73—44no—
1462D73—42no—
1463#3542—732no—
1464#3542—732no—
1465#3542—732no—
1466#3542—732no—
1467#3537—732no—
1468#3537—732no—
1469#3536—732no—
1470#3536—732no—
1471#3534—734no—
1472#3534—734no—
1473#3519—732no—
1474#3519—732no—
1475#3519—732no—
1476#3519—732no—
1477#3505—732no—
1478#3505—732no—
1479#3496—732no—
1480#3496—732no—
1481#3494—731no—
1482#3494—731no—
1483#3494—731no—
1484#3494—731no—
1485#3492—731no—
1486#3492—731no—
1487#3490—734no—
1488#3488—731no—
1489#3488—731no—
1490#3488—731no—
1491#3488D7311yescharacteristic, complemented
1492#3484—731no—
1493#3484—734no—
1494#3484—731no—
1495C2×#525—731no—
1496C2×#525—731no—
1497C22×#121—731no—
1498C73#6281811yescharacteristic, complemented, Sylow
1499C2×H(5,𝔽2)—731no—
1500C2×H(5,𝔽2)—734no—
1501C2×H(5,𝔽2)C2×D7311yescharacteristic, complemented
1502C22×#41—731no—
1503C22×#41C2×D7311yescharacteristic, complemented
1504C23×D4—732no—
1505C23×D4—731no—
1506C24×C4—731no—
1507#562—734no—
1508#562—734no—
1509#562—734no—
1510#562—734no—
1511#560—734no—
1512#560—734no—
1513#560—734no—
1514#560—734no—
1515#555—732no—
1516#555—732no—
1517#555—732no—
1518#555—732no—
1519#554—732no—
1520#554—732no—
1521#554—732no—
1522#554—732no—
1523#553—734no—
1524#553—732no—
1525#553—732no—
1526#553—734no—
1527#553—732no—
1528#553—732no—
1529#553—732no—
1530#553—732no—
1531#553—732no—
1532#553—732no—
1533#553—732no—
1534#553—734no—
1535#553—734no—
1536#553—732no—
1537#553—732no—
1538#553—732no—
1539#552—732no—
1540#552—732no—
1541#552—732no—
1542#552—732no—
1543#551—734no—
1544#551—734no—
1545#551—734no—
1546#551—734no—
1547#551—734no—
1548#551—734no—
1549#551—734no—
1550#551—734no—
1551#550—732no—
1552#550—732no—
1553#550—732no—
1554#550C2×D7312yescomplemented
1555#548—732no—
1556#548—732no—
1557#548—732no—
1558#548C2×D7312yescomplemented
1559#547—732no—
1560#547—732no—
1561#547—732no—
1562#547—732no—
1563#547—732no—
1564#547—732no—
1565#547—732no—
1566#547—732no—
1567#546—734no—
1568#546—732no—
1569#546—732no—
1570#546—732no—
1571#546—732no—
1572#546—732no—
1573#546—734no—
1574#546—734no—
1575#546—732no—
1576#546—734no—
1577#546—732no—
1578#546—732no—
1579#546—732no—
1580#546—734no—
1581#546—734no—
1582#546—734no—
1583#546—734no—
1584#546—734no—
1585#546—732no—
1586#546—734no—
1587#546—732no—
1588#546—734no—
1589#546—734no—
1590#546—734no—
1591#546—734no—
1592#546—734no—
1593#546—734no—
1594#546—734no—
1595#546—734no—
1596#546—734no—
1597#546C2×D7314yescomplemented
1598#546C2×D7312yescomplemented
1599D42—734no—
1600D42—734no—
1601D42—732no—
1602D42—732no—
1603D42—734no—
1604D42—732no—
1605D42—732no—
1606D42—732no—
1607D42—732no—
1608D42—732no—
1609D42—732no—
1610D42—734no—
1611D42—734no—
1612D42—732no—
1613D42—732no—
1614D42—732no—
1615D42—734no—
1616D42—734no—
1617D42C2×D7314yescomplemented
1618D42C2×D7312yescomplemented
1619#544—731no—
1620#544—731no—
1621#543—734no—
1622#542—732no—
1623#542—732no—
1624#542—732no—
1625#542—732no—
1626#540—732no—
1627#540—734no—
1628#540—734no—
1629#540—732no—
1630#540—734no—
1631#540—734no—
1632#540—732no—
1633#540—732no—
1634#539—734no—
1635#539—734no—
1636#539—734no—
1637#539—734no—
1638#538—734no—
1639#538—734no—
1640#538—734no—
1641#538—734no—
1642#538—734no—
1643#538—734no—
1644#538—734no—
1645#538—734no—
1646#538—734no—
1647#538—734no—
1648#537—731no—
1649#537—732no—
1650#537—732no—
1651#537—732no—
1652#537—734no—
1653#537—734no—
1654#537C2×D7311yescharacteristic, complemented
1655#537C2×D7312yescomplemented
1656#535—731no—
1657#535—731no—
1658#535—732no—
1659#535—731no—
1660#535—732no—
1661#535—734no—
1662#535—734no—
1663#535—732no—
1664#535C2×D7311yescharacteristic, complemented
1665#535C2×D7312yescomplemented
1666#534—734no—
1667#534—734no—
1668#534—734no—
1669#534—734no—
1670#534—734no—
1671#534—734no—
1672#534—734no—
1673#534—734no—
1674#534—734no—
1675#532—732no—
1676#532—732no—
1677#532—732no—
1678#532—732no—
1679#529—732no—
1680#529—732no—
1681#529—732no—
1682#529—732no—
1683#525—731no—
1684#525—731no—
1685#525—731no—
1686#525—731no—
1687#525—731no—
1688#525—732no—
1689#525—732no—
1690#525—731no—
1691#525—731no—
1692#525—732no—
1693#525—732no—
1694#525—731no—
1695#525—731no—
1696#525—732no—
1697#525—731no—
1698#525—732no—
1699#525—732no—
1700#525—731no—
1701#525—731no—
1702#525—732no—
1703#525—734no—
1704#525—731no—
1705#525—731no—
1706#525—732no—
1707#525—734no—
1708#525—732no—
1709#525—732no—
1710#525—731no—
1711#525C2×D7311yescharacteristic, complemented
1712#525C2×D7312yescomplemented
1713C2×#123—732no—
1714C2×#123—732no—
1715C2×C22⋊Q8—731no—
1716C2×C22⋊Q8—731no—
1717C2×C22⋊Q8—731no—
1718C2×C22⋊Q8—731no—
1719C2×#121—731no—
1720C2×#121—732no—
1721C2×#121—731no—
1722C2×#121—731no—
1723C2×#121—732no—
1724C2×#121—731no—
1725C2×#121—732no—
1726C2×#121—732no—
1727C2×#121—732no—
1728C2×#121—732no—
1729C2×#121—732no—
1730C2×#121—732no—
1731C2×#121—732no—
1732C2×#121—732no—
1733C2×#121—732no—
1734C2×#121—731no—
1735C2×#121—731no—
1736C2×#121—732no—
1737C2×#121—731no—
1738C2×#121—732no—
1739C2×#121C2×D7311yescharacteristic, complemented
1740C2×#121C2×D7312yescomplemented
1741C2×#120—732no—
1742C2×#120—734no—
1743C2×#120—732no—
1744C2×#120—734no—
1745#520—731no—
1746#520—731no—
1747#520—731no—
1748#520C2×D7311yescharacteristic, complemented
1749#518—731no—
1750#518—734no—
1751#518—734no—
1752#518—731no—
1753#518—734no—
1754C2×C4×D4—732no—
1755C2×C4×D4—732no—
1756C2×C4×D4—732no—
1757C2×C4×D4—732no—
1758C2×#117—731no—
1759C2×#117—731no—
1760C22×C4⋊C4—731no—
1761C22×C22⋊C4—732no—
1762C25—732no—
1763C25—731no—
1764H(5,𝔽2)—44no—
1765H(5,𝔽2)—29216no—
1766H(5,𝔽2)—2924no—
1767C2×#41—44no—
1768C2×#41—2924no—
1769C2×#41—731no—
1770C2×#41—732no—
1771C2×#41—732no—
1772C2×#41—731no—
1773C2×#41—734no—
1774C2×#41—734no—
1775C2×#41—734no—
1776C2×#41—734no—
1777C2×#41—732no—
1778C2×#41—734no—
1779C2×#41—732no—
1780C2×#41—734no—
1781C2×#41—731no—
1782C2×#41C22×D7311yescharacteristic
1783C2×#41C22×D7311yescharacteristic
1784C2×#41C22×D7311yescharacteristic
1785C2×#41C22×D7312yes—
1786C2×#41C22×D7312yescomplemented
1787C2×#41C22×D7311yescharacteristic, complemented
1788C2×#41C22×D7311yescharacteristic, complemented
1789C2×#41C22×D7312yescomplemented
1790C2×#41C22×D7312yescomplemented
1791C22×Q8—731no—
1792C22×Q8C22×D7311yescharacteristic, complemented
1793C22×D4—2928no—
1794C22×D4—2924no—
1795C22×D4—732no—
1796C22×D4—734no—
1797C22×D4—734no—
1798C22×D4—732no—
1799C22×D4—732no—
1800C22×D4—732no—
1801C22×D4—734no—
1802C22×D4—734no—
1803C22×D4—732no—
1804C22×D4—734no—
1805C22×D4—732no—
1806C22×D4—734no—
1807C22×D4—734no—
1808C22×D4—734no—
1809C22×D4—731no—
1810C22×D4—734no—
1811C22×D4—734no—
1812C22×D4—732no—
1813C22×D4—732no—
1814C22×D4—732no—
1815C22×D4—732no—
1816C22×D4—734no—
1817C22×D4—732no—
1818C22×D4—732no—
1819C22×D4—732no—
1820C22×D4—734no—
1821C22×D4—732no—
1822C22×D4—732no—
1823C22×D4—731no—
1824C22×D4C22×D7311yescharacteristic
1825C22×D4C22×D7312yes—
1826C22×D4C22×D7314yes—
1827C22×D4C22×D7312yes—
1828C22×D4C22×D7311yescharacteristic, complemented
1829C22×D4C22×D7312yescomplemented
1830C22×D4C22×D7314yescomplemented
1831C22×D4C22×D7312yescomplemented
1832C23×C4—2924no—
1833C23×C4—731no—
1834C23×C4—731no—
1835C23×C4—732no—
1836C23×C4—731no—
1837C23×C4—731no—
1838C23×C4—731no—
1839C23×C4—731no—
1840C23×C4—732no—
1841C23×C4—731no—
1842C23×C4—731no—
1843C23×C4—731no—
1844C23×C4—731no—
1845C23×C4—731no—
1846C23×C4—731no—
1847C23×C4—731no—
1848C23×C4C22×D7311yescharacteristic
1849C23×C4C22×D7312yescomplemented
1850C4⋊Q8—732no—
1851C4⋊Q8—732no—
1852C4⋊Q8—732no—
1853C4⋊Q8—732no—
1854#127—732no—
1855#127—732no—
1856#127—732no—
1857#127—734no—
1858#127—734no—
1859#127—734no—
1860#127C22×D7312yescomplemented
1861#127C22×D7314yescomplemented
1862#126—734no—
1863#126—734no—
1864#126—734no—
1865#126—734no—
1866#126—734no—
1867#126—734no—
1868#126—734no—
1869#126—734no—
1870#126—734no—
1871#126—734no—
1872#126—734no—
1873#126—734no—
1874#125—732no—
1875#125—732no—
1876#125—732no—
1877#125—734no—
1878#125—734no—
1879#125—734no—
1880#125—732no—
1881#125—734no—
1882#124—732no—
1883#124—732no—
1884#124—734no—
1885#124—732no—
1886#124—734no—
1887#124—734no—
1888#124—734no—
1889#124—734no—
1890#124—734no—
1891#124—734no—
1892#124—734no—
1893#124—734no—
1894#124—734no—
1895#124—734no—
1896#124C22×D7312yescomplemented
1897#124C22×D7314yescomplemented
1898#123—732no—
1899#123—732no—
1900#123—732no—
1901#123—732no—
1902#123—732no—
1903#123—732no—
1904#123—732no—
1905#123—732no—
1906#123—732no—
1907#123—734no—
1908#123—734no—
1909#123—734no—
1910#123—734no—
1911#123—734no—
1912#123—734no—
1913#123—734no—
1914#123—732no—
1915#123—734no—
1916#123—734no—
1917#123—734no—
1918#123—734no—
1919#123—734no—
1920#123—732no—
1921#123—732no—
1922#123—734no—
1923#123—734no—
1924#123—734no—
1925#123—734no—
1926#123—732no—
1927#123—732no—
1928#123—732no—
1929#123—734no—
1930#123—734no—
1931#123—734no—
1932#123—734no—
1933#123—734no—
1934#123—734no—
1935#123—734no—
1936#123—734no—
1937#123—734no—
1938#123—734no—
1939#123—734no—
1940#123—734no—
1941#123—734no—
1942#123—734no—
1943#123—734no—
1944#123C22×D7312yes—
1945#123C22×D7314yescomplemented
1946C22⋊Q8—731no—
1947C22⋊Q8—731no—
1948C22⋊Q8—731no—
1949C22⋊Q8—731no—
1950C22⋊Q8—732no—
1951C22⋊Q8—732no—
1952C22⋊Q8—731no—
1953C22⋊Q8—731no—
1954C22⋊Q8—731no—
1955C22⋊Q8—731no—
1956C22⋊Q8—731no—
1957C22⋊Q8—731no—
1958C22⋊Q8—732no—
1959C22⋊Q8—732no—
1960C22⋊Q8—732no—
1961C22⋊Q8—734no—
1962C22⋊Q8—731no—
1963C22⋊Q8—731no—
1964C22⋊Q8—732no—
1965C22⋊Q8—734no—
1966C22⋊Q8—734no—
1967C22⋊Q8—734no—
1968C22⋊Q8—732no—
1969C22⋊Q8—731no—
1970C22⋊Q8—731no—
1971C22⋊Q8—732no—
1972C22⋊Q8—734no—
1973C22⋊Q8—734no—
1974C22⋊Q8—734no—
1975C22⋊Q8—734no—
1976C22⋊Q8—734no—
1977C22⋊Q8—734no—
1978C22⋊Q8—732no—
1979C22⋊Q8—732no—
1980C22⋊Q8—734no—
1981C22⋊Q8—734no—
1982C22⋊Q8—734no—
1983C22⋊Q8—734no—
1984C22⋊Q8—734no—
1985C22⋊Q8C22×D7311yescharacteristic, complemented
1986C22⋊Q8C22×D7311yescharacteristic, complemented
1987C22⋊Q8C22×D7312yescomplemented
1988C22⋊Q8C22×D7312yescomplemented
1989C22⋊Q8C22×D7314yescomplemented
1990#121—732no—
1991#121—731no—
1992#121—731no—
1993#121—734no—
1994#121—732no—
1995#121—734no—
1996#121—732no—
1997#121—734no—
1998#121—732no—
1999#121—734no—
2000#121—732no—
2001#121—732no—
2002#121—732no—
2003#121—731no—
2004#121—731no—
2005#121—731no—
2006#121—731no—
2007#121—731no—
2008#121—731no—
2009#121—731no—
2010#121—731no—
2011#121—732no—
2012#121—732no—
2013#121—732no—
2014#121—734no—
2015#121—732no—
2016#121—732no—
2017#121—734no—
2018#121—734no—
2019#121—734no—
2020#121—732no—
2021#121—734no—
2022#121—734no—
2023#121—734no—
2024#121—734no—
2025#121—734no—
2026#121—734no—
2027#121—734no—
2028#121—734no—
2029#121—734no—
2030#121—734no—
2031#121—734no—
2032#121—734no—
2033#121—734no—
2034#121—734no—
2035#121—734no—
2036#121—734no—
2037#121—734no—
2038#121—734no—
2039#121—734no—
2040#121—734no—
2041#121—734no—
2042#121—732no—
2043#121—731no—
2044#121—732no—
2045#121—732no—
2046#121—732no—
2047#121—731no—
2048#121—734no—
2049#121—732no—
2050#121—732no—
2051#121—732no—
2052#121—734no—
2053#121—732no—
2054#121—732no—
2055#121—734no—
2056#121—734no—
2057#121—732no—
2058#121—732no—
2059#121—732no—
2060#121—732no—
2061#121—731no—
2062#121—731no—
2063#121—734no—
2064#121—734no—
2065#121—734no—
2066#121—734no—
2067#121—734no—
2068#121—732no—
2069#121—732no—
2070#121—734no—
2071#121—734no—
2072#121—734no—
2073#121—734no—
2074#121—734no—
2075#121—734no—
2076#121—734no—
2077#121—734no—
2078#121C22×D7312yes—
2079#121C22×D7312yes—
2080#121C22×D7312yes—
2081#121C22×D7312yes—
2082#121C22×D7314yes—
2083#121C22×D7311yescharacteristic, complemented
2084#121C22×D7311yescharacteristic, complemented
2085#121C22×D7312yescomplemented
2086#121C22×D7314yescomplemented
2087#121C22×D7312yescomplemented
2088#121C22×D7312yescomplemented
2089#121C22×D7314yescomplemented
2090#121C22×D7312yescomplemented
2091#121C22×D7314yescomplemented
2092#121C22×D7314yescomplemented
2093#121C22×D7314yescomplemented
2094#120—732no—
2095#120—734no—
2096#120—734no—
2097#120—734no—
2098#120—734no—
2099#120—734no—
2100#120—734no—
2101#120—732no—
2102#120—732no—
2103#120—732no—
2104#120—732no—
2105#120—732no—
2106#120—732no—
2107#120—732no—
2108#120—732no—
2109#120—732no—
2110#120—732no—
2111#120—732no—
2112#120—734no—
2113#120—734no—
2114#120—734no—
2115#120—734no—
2116#120—734no—
2117#120—734no—
2118#120—734no—
2119#120—734no—
2120#120—734no—
2121#120—734no—
2122#120—734no—
2123#120—734no—
2124#120—734no—
2125#120—734no—
2126#120—732no—
2127#120—732no—
2128#120—732no—
2129#120—734no—
2130#120—734no—
2131#120—734no—
2132#120—734no—
2133#120C22×D7312yes—
2134#120C22×D7314yes—
2135#120C22×D7314yescomplemented
2136#120C22×D7314yescomplemented
2137#120C22×D7314yescomplemented
2138C4×Q8—732no—
2139C4×Q8—732no—
2140C4×Q8—732no—
2141C4×Q8C22×D7312yescomplemented
2142C4×D4—732no—
2143C4×D4—732no—
2144C4×D4—734no—
2145C4×D4—732no—
2146C4×D4—732no—
2147C4×D4—734no—
2148C4×D4—732no—
2149C4×D4—732no—
2150C4×D4—734no—
2151C4×D4—734no—
2152C4×D4—732no—
2153C4×D4—732no—
2154C4×D4—732no—
2155C4×D4—732no—
2156C4×D4—732no—
2157C4×D4—732no—
2158C4×D4—732no—
2159C4×D4—732no—
2160C4×D4—732no—
2161C4×D4—732no—
2162C4×D4—732no—
2163C4×D4—732no—
2164C4×D4—732no—
2165C4×D4—732no—
2166C4×D4—732no—
2167C4×D4—732no—
2168C4×D4—732no—
2169C4×D4—732no—
2170C4×D4—732no—
2171C4×D4—732no—
2172C4×D4—732no—
2173C4×D4—732no—
2174C4×D4—734no—
2175C4×D4—734no—
2176C4×D4—734no—
2177C4×D4—734no—
2178C4×D4—734no—
2179C4×D4—734no—
2180C4×D4—734no—
2181C4×D4—732no—
2182C4×D4—732no—
2183C4×D4—734no—
2184C4×D4—732no—
2185C4×D4—732no—
2186C4×D4—732no—
2187C4×D4—732no—
2188C4×D4—732no—
2189C4×D4—732no—
2190C4×D4—732no—
2191C4×D4—734no—
2192C4×D4—734no—
2193C4×D4—734no—
2194C4×D4—734no—
2195C4×D4—734no—
2196C4×D4—734no—
2197C4×D4—734no—
2198C4×D4—732no—
2199C4×D4—732no—
2200C4×D4—734no—
2201C4×D4—734no—
2202C4×D4—732no—
2203C4×D4—732no—
2204C4×D4C22×D7314yes—
2205C4×D4C22×D7312yescomplemented
2206C4×D4C22×D7312yescomplemented
2207C4×D4C22×D7314yescomplemented
2208C4×D4C22×D7314yescomplemented
2209C4×D4C22×D7312yescomplemented
2210#117—731no—
2211#117—731no—
2212#117—731no—
2213#117—732no—
2214#117—732no—
2215#117—731no—
2216#117—731no—
2217#117—732no—
2218#117—732no—
2219#117—731no—
2220#117—731no—
2221#117—734no—
2222#117—734no—
2223#117—732no—
2224#117—732no—
2225#117—734no—
2226#117—734no—
2227#117—732no—
2228#117—734no—
2229#117—734no—
2230#117C22×D7311yescharacteristic
2231#117C22×D7312yescomplemented
2232C2×C4⋊C4—731no—
2233C2×C4⋊C4—732no—
2234C2×C4⋊C4—731no—
2235C2×C4⋊C4—731no—
2236C2×C4⋊C4—732no—
2237C2×C4⋊C4—732no—
2238C2×C4⋊C4—732no—
2239C2×C4⋊C4—732no—
2240C2×C4⋊C4—732no—
2241C2×C4⋊C4—732no—
2242C2×C4⋊C4—732no—
2243C2×C4⋊C4—732no—
2244C2×C4⋊C4—731no—
2245C2×C4⋊C4—731no—
2246C2×C4⋊C4—732no—
2247C2×C4⋊C4—732no—
2248C2×C4⋊C4—732no—
2249C2×C4⋊C4C22×D7311yescharacteristic
2250C2×C4⋊C4C22×D7312yescomplemented
2251C2×C22⋊C4—732no—
2252C2×C22⋊C4—732no—
2253C2×C22⋊C4—732no—
2254C2×C22⋊C4—732no—
2255C2×C22⋊C4—734no—
2256C2×C22⋊C4—734no—
2257C2×C22⋊C4—732no—
2258C2×C22⋊C4—732no—
2259C2×C22⋊C4—732no—
2260C2×C22⋊C4—732no—
2261C2×C22⋊C4—734no—
2262C2×C22⋊C4—734no—
2263C2×C22⋊C4—734no—
2264C2×C22⋊C4—734no—
2265C2×C22⋊C4—734no—
2266C2×C22⋊C4—734no—
2267C2×C22⋊C4—734no—
2268C2×C22⋊C4—732no—
2269C2×C22⋊C4—732no—
2270C2×C22⋊C4—732no—
2271C2×C22⋊C4—732no—
2272C2×C22⋊C4—732no—
2273C2×C22⋊C4—734no—
2274C2×C22⋊C4—734no—
2275C2×C22⋊C4—734no—
2276C2×C22⋊C4—734no—
2277C2×C22⋊C4C22×D7312yes—
2278C2×C22⋊C4C22×D7314yescomplemented
2279C2×C42—732no—
2280C2×C42—732no—
2281C24—2922no—
2282C24—2924no—
2283C24—2922no—
2284C24—2924no—
2285C24—2924no—
2286C24—734no—
2287C24—731no—
2288C24—734no—
2289C24—734no—
2290C24—732no—
2291C24—732no—
2292C24—731no—
2293C24—731no—
2294C24—731no—
2295C24—731no—
2296C24—731no—
2297C24—1464no—
2298C24C23×D7311yescharacteristic
2299C24C23×D7312yes—
2300C24C23×D7312yes—
2301C24C23×D7314yes—
2302#41—24no—
2303#41—24no—
2304#41—24no—
2305#41—44no—
2306#41—44no—
2307#41—42no—
2308#41—42no—
2309#41—44no—
2310#41—44no—
2311#41—2924no—
2312#41—2924no—
2313#41—2928no—
2314#41—2928no—
2315#41—2922no—
2316#41—2924no—
2317#41—2928no—
2318#41—2928no—
2319#41—2928no—
2320#41—2928no—
2321#41—2922no—
2322#41—2924no—
2323#41—1464no—
2324C2×Q8—42no—
2325C2×Q8—2922no—
2326C2×Q8—732no—
2327C2×Q8—734no—
2328C2×Q8—734no—
2329C2×Q8—731no—
2330C2×Q8C23×D7311yescharacteristic
2331C2×Q8C23×D7311yescharacteristic
2332C2×Q8C23×D7311yescharacteristic
2333C2×Q8C23×D7312yes—
2334C2×D4—24no—
2335C2×D4—42no—
2336C2×D4—44no—
2337C2×D4—44no—
2338C2×D4—44no—
2339C2×D4—44no—
2340C2×D4—48no—
2341C2×D4—48no—
2342C2×D4—2924no—
2343C2×D4—2924no—
2344C2×D4—2928no—
2345C2×D4—2924no—
2346C2×D4—2928no—
2347C2×D4—2928no—
2348C2×D4—2924no—
2349C2×D4—2928no—
2350C2×D4—2928no—
2351C2×D4—2928no—
2352C2×D4—2924no—
2353C2×D4—2928no—
2354C2×D4—2924no—
2355C2×D4—2924no—
2356C2×D4—2928no—
2357C2×D4—2928no—
2358C2×D4—2928no—
2359C2×D4—2924no—
2360C2×D4—2924no—
2361C2×D4—2924no—
2362C2×D4—2924no—
2363C2×D4—2922no—
2364C2×D4—2924no—
2365C2×D4—2928no—
2366C2×D4—2924no—
2367C2×D4—734no—
2368C2×D4—734no—
2369C2×D4—734no—
2370C2×D4—732no—
2371C2×D4—732no—
2372C2×D4—732no—
2373C2×D4—732no—
2374C2×D4—732no—
2375C2×D4—734no—
2376C2×D4—734no—
2377C2×D4—734no—
2378C2×D4—734no—
2379C2×D4—734no—
2380C2×D4—734no—
2381C2×D4—734no—
2382C2×D4—734no—
2383C2×D4—734no—
2384C2×D4—732no—
2385C2×D4—732no—
2386C2×D4—732no—
2387C2×D4—732no—
2388C2×D4—732no—
2389C2×D4—732no—
2390C2×D4—732no—
2391C2×D4—732no—
2392C2×D4—732no—
2393C2×D4—732no—
2394C2×D4—734no—
2395C2×D4—734no—
2396C2×D4—732no—
2397C2×D4—734no—
2398C2×D4—734no—
2399C2×D4—732no—
2400C2×D4—732no—
2401C2×D4—734no—
2402C2×D4—732no—
2403C2×D4—732no—
2404C2×D4—731no—
2405C2×D4—14616no—
2406C2×D4—1468no—
2407C2×D4—1468no—
2408C2×D4—1464no—
2409C2×D4C23×D7312yes—
2410C2×D4C23×D7312yes—
2411C2×D4C23×D7312yes—
2412C2×D4C23×D7311yescharacteristic
2413C2×D4C23×D7312yes—
2414C2×D4C23×D7311yescharacteristic
2415C2×D4C23×D7312yes—
2416C2×D4C23×D7314yes—
2417C2×D4C23×D7312yes—
2418C2×D4C23×D7311yescharacteristic
2419C2×D4C23×D7314yes—
2420C2×D4C23×D7312yes—
2421C2×D4C23×D7312yes—
2422C2×D4C23×D7314yes—
2423C2×D4C23×D7314yes—
2424C2×D4C23×D7312yes—
2425C2×D4C23×D7312yes—
2426C2×D4C23×D7314yes—
2427C2×D4C23×D7314yes—
2428C2×D4C23×D7314yes—
2429C22×C4—24no—
2430C22×C4—44no—
2431C22×C4—2922no—
2432C22×C4—2922no—
2433C22×C4—2922no—
2434C22×C4—2922no—
2435C22×C4—2922no—
2436C22×C4—2922no—
2437C22×C4—2922no—
2438C22×C4—2922no—
2439C22×C4—2922no—
2440C22×C4—2922no—
2441C22×C4—2924no—
2442C22×C4—2924no—
2443C22×C4—2922no—
2444C22×C4—732no—
2445C22×C4—731no—
2446C22×C4—732no—
2447C22×C4—731no—
2448C22×C4—734no—
2449C22×C4—732no—
2450C22×C4—734no—
2451C22×C4—734no—
2452C22×C4—734no—
2453C22×C4—731no—
2454C22×C4—731no—
2455C22×C4—732no—
2456C22×C4—731no—
2457C22×C4—731no—
2458C22×C4—731no—
2459C22×C4—731no—
2460C22×C4—731no—
2461C22×C4—732no—
2462C22×C4—734no—
2463C22×C4—731no—
2464C22×C4—734no—
2465C22×C4—732no—
2466C22×C4—734no—
2467C22×C4—734no—
2468C22×C4—734no—
2469C22×C4—731no—
2470C22×C4—731no—
2471C22×C4—732no—
2472C22×C4—731no—
2473C22×C4—731no—
2474C22×C4—731no—
2475C22×C4—732no—
2476C22×C4—734no—
2477C22×C4—731no—
2478C22×C4—731no—
2479C22×C4—731no—
2480C22×C4—731no—
2481C22×C4—731no—
2482C22×C4—732no—
2483C22×C4—731no—
2484C22×C4—731no—
2485C22×C4—1464no—
2486C22×C4—1464no—
2487C22×C4C23×D7311yescharacteristic
2488C22×C4C23×D7311yescharacteristic
2489C22×C4C23×D7311yescharacteristic
2490C22×C4C23×D7312yes—
2491C22×C4C23×D7312yes—
2492C22×C4C23×D7312yes—
2493C22×C4C23×D7311yescharacteristic
2494C22×C4C23×D7311yescharacteristic
2495C22×C4C23×D7312yes—
2496C22×C4C23×D7312yes—
2497C22×C4C23×D7314yes—
2498C22×C4C23×D7312yes—
2499C22×C4C23×D7312yes—
2500C22×C4C23×D7314yes—
2501C22×C4C23×D7311yescharacteristic
2502C4⋊C4—734no—
2503C4⋊C4—734no—
2504C4⋊C4—732no—
2505C4⋊C4—732no—
2506C4⋊C4—732no—
2507C4⋊C4—732no—
2508C4⋊C4—732no—
2509C4⋊C4—732no—
2510C4⋊C4—732no—
2511C4⋊C4—732no—
2512C4⋊C4—732no—
2513C4⋊C4—732no—
2514C4⋊C4—732no—
2515C4⋊C4—732no—
2516C4⋊C4—732no—
2517C4⋊C4—732no—
2518C4⋊C4—734no—
2519C4⋊C4—734no—
2520C4⋊C4—734no—
2521C4⋊C4—734no—
2522C4⋊C4—734no—
2523C4⋊C4—734no—
2524C4⋊C4—732no—
2525C4⋊C4—732no—
2526C4⋊C4—731no—
2527C4⋊C4—731no—
2528C4⋊C4—731no—
2529C4⋊C4—731no—
2530C4⋊C4—731no—
2531C4⋊C4—731no—
2532C4⋊C4—732no—
2533C4⋊C4—732no—
2534C4⋊C4—732no—
2535C4⋊C4—732no—
2536C4⋊C4—734no—
2537C4⋊C4—734no—
2538C4⋊C4—734no—
2539C4⋊C4—734no—
2540C4⋊C4C23×D7312yes—
2541C4⋊C4C23×D7312yes—
2542C4⋊C4C23×D7311yescharacteristic
2543C4⋊C4C23×D7312yes—
2544C4⋊C4C23×D7311yescharacteristic
2545C4⋊C4C23×D7312yes—
2546C4⋊C4C23×D7314yes—
2547C4⋊C4C23×D7314yes—
2548C22⋊C4—734no—
2549C22⋊C4—732no—
2550C22⋊C4—732no—
2551C22⋊C4—732no—
2552C22⋊C4—732no—
2553C22⋊C4—732no—
2554C22⋊C4—734no—
2555C22⋊C4—734no—
2556C22⋊C4—732no—
2557C22⋊C4—732no—
2558C22⋊C4—732no—
2559C22⋊C4—734no—
2560C22⋊C4—734no—
2561C22⋊C4—734no—
2562C22⋊C4—734no—
2563C22⋊C4—732no—
2564C22⋊C4—732no—
2565C22⋊C4—732no—
2566C22⋊C4—732no—
2567C22⋊C4—732no—
2568C22⋊C4—732no—
2569C22⋊C4—732no—
2570C22⋊C4—732no—
2571C22⋊C4—732no—
2572C22⋊C4—734no—
2573C22⋊C4—734no—
2574C22⋊C4—734no—
2575C22⋊C4—734no—
2576C22⋊C4—732no—
2577C22⋊C4—732no—
2578C22⋊C4—732no—
2579C22⋊C4—732no—
2580C22⋊C4—732no—
2581C22⋊C4—732no—
2582C22⋊C4—732no—
2583C22⋊C4—732no—
2584C22⋊C4—732no—
2585C22⋊C4—734no—
2586C22⋊C4—734no—
2587C22⋊C4—734no—
2588C22⋊C4—734no—
2589C22⋊C4—732no—
2590C22⋊C4—732no—
2591C22⋊C4—732no—
2592C22⋊C4—732no—
2593C22⋊C4—734no—
2594C22⋊C4—734no—
2595C22⋊C4—734no—
2596C22⋊C4—734no—
2597C22⋊C4—734no—
2598C22⋊C4—732no—
2599C22⋊C4—732no—
2600C22⋊C4—732no—
2601C22⋊C4—732no—
2602C22⋊C4—732no—
2603C22⋊C4—734no—
2604C22⋊C4C23×D7312yes—
2605C22⋊C4C23×D7314yes—
2606C22⋊C4C23×D7314yes—
2607C22⋊C4C23×D7312yes—
2608C22⋊C4C23×D7314yes—
2609C22⋊C4C23×D7312yes—
2610C22⋊C4C23×D7314yes—
2611C22⋊C4C23×D7312yes—
2612C22⋊C4C23×D7314yes—
2613C22⋊C4C23×D7312yes—
2614C22⋊C4C23×D7314yes—
2615C22⋊C4C23×D7314yes—
2616C42—732no—
2617C42—732no—
2618C42—732no—
2619C42—732no—
2620C42—732no—
2621C42—732no—
2622C42—732no—
2623C42—734no—
2624C42—734no—
2625C42—734no—
2626C42C23×D7312yes—
2627C42C23×D7314yes—
2628C23—22no—
2629C23—22no—
2630C23—24no—
2631C23—24no—
2632C23—41no—
2633C23—42no—
2634C23—42no—
2635C23—42no—
2636C23—42no—
2637C23—44no—
2638C23—44no—
2639C23—44no—
2640C23—2921no—
2641C23—2921no—
2642C23—2921no—
2643C23—2921no—
2644C23—2921no—
2645C23—2921no—
2646C23—2921no—
2647C23—2922no—
2648C23—2922no—
2649C23—2924no—
2650C23—2924no—
2651C23—2924no—
2652C23—2922no—
2653C23—2922no—
2654C23—2924no—
2655C23—2924no—
2656C23—2924no—
2657C23—2924no—
2658C23—29216no—
2659C23—58416no—
2660C23—734no—
2661C23—731no—
2662C23—731no—
2663C23—731no—
2664C23—734no—
2665C23—732no—
2666C23—731no—
2667C23—1462no—
2668C23—1462no—
2669C23—1462no—
2670C23—1462no—
2671C23—1462no—
2672C23—1464no—
2673C23—1468no—
2674C23—1468no—
2675C23—1462no—
2676C23—1462no—
2677C23—1462no—
2678C23—1462no—
2679C23—1464no—
2680C23—1462no—
2681C23C24×D7314yes—
2682C23C24×D7312yes—
2683C23C24×D7311yescharacteristic
2684C23C24×D7312yes—
2685C23C24×D7312yes—
2686C23C24×D7311yescharacteristic
2687C23C24×D7311yescharacteristic
2688Q8—22no—
2689Q8—22no—
2690Q8—22no—
2691Q8—42no—
2692Q8—2922no—
2693Q8—2924no—
2694Q8—2924no—
2695Q8—1462no—
2696D4—28no—
2697D4—24no—
2698D4—24no—
2699D4—24no—
2700D4—24no—
2701D4—24no—
2702D4—24no—
2703D4—22no—
2704D4—22no—
2705D4—22no—
2706D4—44no—
2707D4—44no—
2708D4—44no—
2709D4—44no—
2710D4—44no—
2711D4—42no—
2712D4—42no—
2713D4—42no—
2714D4—44no—
2715D4—42no—
2716D4—2924no—
2717D4—2924no—
2718D4—2922no—
2719D4—2924no—
2720D4—2924no—
2721D4—2924no—
2722D4—2924no—
2723D4—2924no—
2724D4—2924no—
2725D4—2924no—
2726D4—2924no—
2727D4—2924no—
2728D4—2922no—
2729D4—2922no—
2730D4—2924no—
2731D4—2922no—
2732D4—2922no—
2733D4—2924no—
2734D4—2924no—
2735D4—2922no—
2736D4—1468no—
2737D4—1464no—
2738D4—1464no—
2739D4—1468no—
2740D4—1464no—
2741D4—1464no—
2742D4—1464no—
2743D4—1464no—
2744D4—1464no—
2745D4—1464no—
2746D4—1464no—
2747D4—1464no—
2748D4—1468no—
2749D4—1464no—
2750D4—1464no—
2751D4—1464no—
2752D4—1464no—
2753D4—1462no—
2754C2×C4—22no—
2755C2×C4—22no—
2756C2×C4—22no—
2757C2×C4—22no—
2758C2×C4—22no—
2759C2×C4—24no—
2760C2×C4—24no—
2761C2×C4—24no—
2762C2×C4—42no—
2763C2×C4—42no—
2764C2×C4—42no—
2765C2×C4—42no—
2766C2×C4—44no—
2767C2×C4—44no—
2768C2×C4—2921no—
2769C2×C4—2921no—
2770C2×C4—2921no—
2771C2×C4—2921no—
2772C2×C4—2921no—
2773C2×C4—2921no—
2774C2×C4—2921no—
2775C2×C4—2921no—
2776C2×C4—2924no—
2777C2×C4—2922no—
2778C2×C4—2922no—
2779C2×C4—2924no—
2780C2×C4—2924no—
2781C2×C4—2924no—
2782C2×C4—2924no—
2783C2×C4—2922no—
2784C2×C4—2921no—
2785C2×C4—2921no—
2786C2×C4—2921no—
2787C2×C4—2921no—
2788C2×C4—2922no—
2789C2×C4—2922no—
2790C2×C4—2924no—
2791C2×C4—2924no—
2792C2×C4—2924no—
2793C2×C4—2922no—
2794C2×C4—2924no—
2795C2×C4—732no—
2796C2×C4—732no—
2797C2×C4—732no—
2798C2×C4—731no—
2799C2×C4—732no—
2800C2×C4—732no—
2801C2×C4—732no—
2802C2×C4—732no—
2803C2×C4—734no—
2804C2×C4—731no—
2805C2×C4—731no—
2806C2×C4—731no—
2807C2×C4—1468no—
2808C2×C4—1464no—
2809C2×C4—1464no—
2810C2×C4—1462no—
2811C2×C4—1462no—
2812C2×C4—1462no—
2813C2×C4—1462no—
2814C2×C4—1462no—
2815C2×C4—1462no—
2816C2×C4—1462no—
2817C2×C4—1462no—
2818C2×C4—1462no—
2819C2×C4—1462no—
2820C2×C4—1464no—
2821C2×C4#1455663614yescomplemented
2822C2×C4C24×D7311yescharacteristic
2823C2×C4C24×D7312yes—
2824C2×C4C24×D7312yes—
2825C2×C4C24×D7312yes—
2826C2×C4C24×D7312yes—
2827C2×C4C24×D7314yes—
2828C2×C4C24×D7312yes—
2829C2×C4C24×D7311yescharacteristic
2830C2×C4C24×D7311yescharacteristic
2831C2×C4C24×D7311yescharacteristic
2832C22—21no—
2833C22—21no—
2834C22—21no—
2835C22—21no—
2836C22—22no—
2837C22—22no—
2838C22—22no—
2839C22—24no—
2840C22—21no—
2841C22—21no—
2842C22—22no—
2843C22—22no—
2844C22—22no—
2845C22—24no—
2846C22—24no—
2847C22—21no—
2848C22—22no—
2849C22—22no—
2850C22—22no—
2851C22—44no—
2852C22—84no—
2853C22—84no—
2854C22—164no—
2855C22—2924no—
2856C22—2924no—
2857C22—2924no—
2858C22—2924no—
2859C22—2924no—
2860C22—5844no—
2861C22—5848no—
2862C22—5848no—
2863C22—5844no—
2864C22—732no—
2865C22—732no—
2866C22—732no—
2867C22—11684no—
2868C22—1468no—
2869C22—1462no—
2870C22—1464no—
2871C22—1461no—
2872C22—1461no—
2873C22—1462no—
2874C22—1464no—
2875C22—1464no—
2876C22—1461no—
2877C22—1462no—
2878C22—1461no—
2879C22—1461no—
2880C22—1461no—
2881C22—1461no—
2882C22—1461no—
2883C22—1461no—
2884C22H(5,𝔽2)×D7312yes—
2885C22C2×#1455663612yes—
2886C22C25×D7311yescharacteristic
2887C4—24no—
2888C4—22no—
2889C4—21no—
2890C4—21no—
2891C4—22no—
2892C4—22no—
2893C4—22no—
2894C4—22no—
2895C4—1464no—
2896C4—1462no—
2897C4—1462no—
2898C4—1462no—
2899C4—1461no—
2900C4—1461no—
2901C4—1461no—
2902C4—1461no—
2903C4—1462no—
2904C4—1462no—
2905C4—1462no—
2906C4—1462no—
2907C4C2×#1455663612yes—
2908C4C2×#1455663612yes—
2909C2—22no—
2910C2—22no—
2911C2—41no—
2912C2—42no—
2913C2—44no—
2914C2—42no—
2915C2—42no—
2916C2—2921no—
2917C2—2924no—
2918C2—2922no—
2919C2—1462no—
2920C2—1462no—
2921C2—1462no—
2922C2C2×H(5,𝔽2)×D7311yescharacteristic
2923C2C22×#1455663611yescharacteristic
2924C2#585×D7311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D73
commutator, socle, cosocleC22×C73C26
FittingC73×#3488C2
hypercenter#3488D73
hypocenterC73#62818
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ #3488

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
1. #22624249C2semidirect
2. #22624245C2semidirect
3. #22624237C2semidirect
4. #22624235C2semidirect
5. #22624164C2semidirect
6. #22624162C2semidirect
7. #22624149C2semidirect
8. #22624147C2semidirect
9. #22624113C2semidirect
10. #22624109C2semidirect
11. #22623962C2semidirect
12. #22623960C2semidirect
13. #22623957C2semidirect
14. #22623951C2semidirect
15. #22623767C2semidirect
16. #22623759C2semidirect
17. #22623688C2semidirect
18. #22623687C2semidirect
19. #22623668C2semidirect
20. #22623667C2semidirect
21. #22623663C2semidirect
22. #22623660C2semidirect
23. #22623638C2semidirect
24. #22623634C2semidirect
25. #22623613C2semidirect
26. #22623600C2semidirect
27. #22623595C2semidirect
28. #22623593C2semidirect
29. #22623565C2semidirect
30. #22623562C2semidirect
31. #22623559C2semidirect
32. C2×#17989094C2semidirect
33. #525×D73C2semidirect
34. C2×#121×D73C2semidirect
35. C73×#3488C2semidirect
36. C2×#14556637C22semidirect
37. C2×#14556636C22semidirect
38. C2×#41×D73C22semidirect
39. C22×D4×D73C22semidirect
40. C22×D4×D73C22semidirect
41. C23×C4×D73C22semidirect
42. #17989333C22semidirect
43. #17989332C22semidirect
44. #17989332C22semidirect
45. #17989331C22semidirect
46. #17989326C22semidirect
47. #17989326C22semidirect
48. #17989325C22semidirect
49. #17989324C22semidirect
50. #17989302C22semidirect
51. #17989301C22semidirect
52. #17989301C22semidirect
53. #17989300C22semidirect
54. #17989297C22semidirect
55. #17989295C22semidirect
56. #17989295C22semidirect
57. #17989292C22semidirect
58. #17989289C22semidirect
59. #17989289C22semidirect
60. #17989287C22semidirect
61. #17989287C22semidirect
62. #17989286C22semidirect
63. #17989285C22semidirect
64. #17989284C22semidirect
65. #17989284C22semidirect
66. #17989284C22semidirect
67. #17989284C22semidirect
68. #17989283C22semidirect
69. #17989283C22semidirect
70. #17989282C22semidirect
71. #17989281C22semidirect
72. #17989281C22semidirect
73. #17989280C22semidirect
74. #17989278C22semidirect
75. #17989276C22semidirect
76. #17989271C22semidirect
77. #17989271C22semidirect
78. #17989268C22semidirect
79. #17989267C22semidirect
80. #17989266C22semidirect
81. #17989266C22semidirect
82. #17989265C22semidirect
83. #17989264C22semidirect
84. #17989263C22semidirect
85. #17989260C22semidirect
86. #17989256C22semidirect
87. #17989256C22semidirect
88. #17989255C22semidirect
89. #17989248C22semidirect
90. #17989247C22semidirect
91. #17989244C22semidirect
92. #17989242C22semidirect
93. #17989241C22semidirect
94. #17989238C22semidirect
95. #17989238C22semidirect
96. #17989237C22semidirect
97. #17989237C22semidirect
98. #17989237C22semidirect
99. #17989237C22semidirect
100. #17989234C22semidirect
101. #17989234C22semidirect
102. #17989234C22semidirect
103. #17989234C22semidirect
104. #17989233C22semidirect
105. #17989232C22semidirect
106. #17989231C22semidirect
107. #17989231C22semidirect
108. #17989231C22semidirect
109. #17989231C22semidirect
110. #17989230C22semidirect
111. #17989230C22semidirect
112. #17989228C22semidirect
113. #17989227C22semidirect
114. #17989227C22semidirect
115. #17989226C22semidirect
116. #17989226C22semidirect
117. #17989226C22semidirect
118. #17989226C22semidirect
119. #17989226C22semidirect
120. #17989225C22semidirect
121. #17989225C22semidirect
122. #17989225C22semidirect
123. #17989225C22semidirect
124. #17989225C22semidirect
125. #17989225C22semidirect
126. #17989224C22semidirect
127. #17989224C22semidirect
128. #17989224C22semidirect
129. #17989224C22semidirect
130. #17989222C22semidirect
131. #17989222C22semidirect
132. #17989222C22semidirect
133. #17989221C22semidirect
134. #17989221C22semidirect
135. #17989221C22semidirect
136. #17989221C22semidirect
137. D4×C22⋊D73C22semidirect
138. D4×C22⋊D73C22semidirect
139. D4×C22⋊D73C22semidirect
140. D4×C22⋊D73C22semidirect
141. D4×C22⋊D73C22semidirect
142. D4×C22⋊D73C22semidirect
143. D4×C22⋊D73C22semidirect
144. D4×C22⋊D73C22semidirect
145. D4×C22⋊D73C22semidirect
146. #17989219C22semidirect
147. #17989219C22semidirect
148. #17989218C22semidirect
149. #17989215C22semidirect
150. #17989212C22semidirect
151. #17989210C22semidirect
152. #17989209C22semidirect
153. #17989206C22semidirect
154. #17989204C22semidirect
155. #17989191C22semidirect
156. #17989191C22semidirect
157. #17989190C22semidirect
158. #17989190C22semidirect
159. #17989189C22semidirect
160. #17989188C22semidirect
161. #17989187C22semidirect
162. #17989187C22semidirect
163. #17989183C22semidirect
164. #17989182C22semidirect
165. #17989179C22semidirect
166. #17989179C22semidirect
167. #17989175C22semidirect
168. #17989173C22semidirect
169. #17989172C22semidirect
170. #17989172C22semidirect
171. #17989171C22semidirect
172. #17989171C22semidirect
173. #17989170C22semidirect
174. #17989169C22semidirect
175. #17989169C22semidirect
176. #17989169C22semidirect
177. #17989167C22semidirect
178. #17989166C22semidirect
179. #17989165C22semidirect
180. #17989165C22semidirect
181. #17989165C22semidirect
182. #17989164C22semidirect
183. #17989154C22semidirect
184. #17989154C22semidirect
185. #17989153C22semidirect
186. #17989153C22semidirect
187. #17989151C22semidirect
188. #17989151C22semidirect
189. #17989151C22semidirect
190. #17989150C22semidirect
191. #17989147C22semidirect
192. #17989147C22semidirect
193. #17989147C22semidirect
194. #17989147C22semidirect
195. #17989147C22semidirect
196. #17989146C22semidirect
197. #17989146C22semidirect
198. #17989145C22semidirect
199. #17989145C22semidirect
200. #17989135C22semidirect
201. #17989134C22semidirect
202. #17989132C22semidirect
203. #17989132C22semidirect
204. #17989124C22semidirect
205. #17989123C22semidirect
206. #17989118C22semidirect
207. #17989116C22semidirect
208. #17989100C22semidirect
209. #17989100C22semidirect
210. #17989100C22semidirect
211. #17989099C22semidirect
212. #17989098C22semidirect
213. #17989098C22semidirect
214. #17989097C22semidirect
215. #17989097C22semidirect
216. #17989097C22semidirect
217. #17989096C22semidirect
218. #17989096C22semidirect
219. #17989096C22semidirect
220. #17989095C22semidirect
221. #17989094C22semidirect
222. #17989094C22semidirect
223. #17989094C22semidirect
224. #17989094C22semidirect
225. #17989094C22semidirect
226. #17989094C22semidirect
227. #17989094C22semidirect
228. #17989094C22semidirect
229. #17989094C22semidirect
230. #17989094C22semidirect
231. #17989094C22semidirect
232. #17989094C22semidirect
233. #17989094C22semidirect
234. #17989094C22semidirect
235. #17989093C22semidirect
236. C2×#14556572C22semidirect
237. #123×D73C22semidirect
238. C2×#14556567C22semidirect
239. C2×#14556567C22semidirect
240. C22⋊Q8×D73C22semidirect
241. C22⋊Q8×D73C22semidirect
242. C2×#14556566C22semidirect
243. C2×#14556565C22semidirect
244. C2×#14556565C22semidirect
245. C2×#14556564C22semidirect
246. C2×#14556563C22semidirect
247. C2×#14556562C22semidirect
248. C2×#14556562C22semidirect
249. C2×#14556562C22semidirect
250. C2×#14556562C22semidirect
251. #121×D73C22semidirect
252. #121×D73C22semidirect
253. #121×D73C22semidirect
254. #121×D73C22semidirect
255. #121×D73C22semidirect
256. #121×D73C22semidirect
257. #121×D73C22semidirect
258. #121×D73C22semidirect
259. #121×D73C22semidirect
260. #121×D73C22semidirect
261. #121×D73C22semidirect
262. C2×#14556559C22semidirect
263. C2×#14556559C22semidirect
264. #120×D73C22semidirect
265. #120×D73C22semidirect
266. #17989070C22semidirect
267. #17989070C22semidirect
268. #17989068C22semidirect
269. #17989062C22semidirect
270. #17989061C22semidirect
271. #17989060C22semidirect
272. #17989059C22semidirect
273. #17989059C22semidirect
274. C2×C4×C22⋊D73C22semidirect
275. C2×C4×C22⋊D73C22semidirect
276. C4×D4×D73C22semidirect
277. C4×D4×D73C22semidirect
278. C2×#14556550C22semidirect
279. #117×D73C22semidirect
280. C2×C4⋊C4×D73C22semidirect
281. C2×C22⋊C4×D73C22semidirect
282. C2×H(5,𝔽2)×C73C22semidirect
283. C22×#41×C73C22semidirect
284. #550×C73C22semidirect
285. #548×C73C22semidirect
286. #546×C73C22semidirect
287. #546×C73C22semidirect
288. D42×C73C22semidirect
289. D42×C73C22semidirect
290. #537×C73C22semidirect
291. #537×C73C22semidirect
292. #535×C73C22semidirect
293. #535×C73C22semidirect
294. #525×C73C22semidirect
295. #525×C73C22semidirect
296. C2×#121×C73C22semidirect
297. C2×#121×C73C22semidirect
298. #520×C73C22semidirect
303. C2×#11924029C23semidirect
304. C2×#11924029C23semidirect
307. C2×#11924028C23semidirect
308. C2×#11924028C23semidirect
309. C2×#11924028C23semidirect
312. C2×#11924027C23semidirect
313. C2×#11924027C23semidirect
314. C2×#11924027C23semidirect
315. C2×#11924027C23semidirect
317. C2×Q8×D73C23semidirect
320. C22×D292C23semidirect
328. C22×C22⋊D73C23semidirect
329. C22×C22⋊D73C23semidirect
346. C2×D4×D73C23semidirect
347. C2×D4×D73C23semidirect
348. C2×D4×D73C23semidirect
364. C22×C4×D73C23semidirect
365. #14556591C23semidirect
366. #14556590C23semidirect
367. #14556590C23semidirect
368. #14556590C23semidirect
369. #14556587C23semidirect
370. #14556587C23semidirect
371. #14556587C23semidirect
372. #14556587C23semidirect
373. #14556587C23semidirect
374. #14556587C23semidirect
375. #14556586C23semidirect
376. #14556586C23semidirect
377. #14556586C23semidirect
378. #14556585C23semidirect
379. #14556585C23semidirect
380. #14556584C23semidirect
381. #14556584C23semidirect
382. #14556584C23semidirect
383. #14556584C23semidirect
384. #14556584C23semidirect
385. #14556584C23semidirect
386. #14556584C23semidirect
387. #14556583C23semidirect
388. #14556583C23semidirect
389. #14556582C23semidirect
390. #14556582C23semidirect
391. #14556582C23semidirect
392. #14556581C23semidirect
393. #14556581C23semidirect
394. #14556581C23semidirect
395. #14556580C23semidirect
396. #14556580C23semidirect
397. #14556580C23semidirect
398. #14556579C23semidirect
399. #14556578C23semidirect
400. #14556578C23semidirect
401. #14556578C23semidirect
402. #14556578C23semidirect
403. #14556577C23semidirect
404. #14556577C23semidirect
405. #14556577C23semidirect
406. #14556577C23semidirect
407. #14556577C23semidirect
408. #14556577C23semidirect
410. #14556576C23semidirect
411. #14556576C23semidirect
412. #14556576C23semidirect
413. #14556576C23semidirect
414. #14556576C23semidirect
416. #14556575C23semidirect
417. #14556575C23semidirect
418. #14556575C23semidirect
419. #14556575C23semidirect
421. #14556574C23semidirect
422. #14556574C23semidirect
423. #14556574C23semidirect
424. #14556574C23semidirect
425. #14556574C23semidirect
429. #14556573C23semidirect
430. #14556573C23semidirect
431. #14556573C23semidirect
432. #14556573C23semidirect
433. #14556573C23semidirect
434. #14556573C23semidirect
435. #14556573C23semidirect
436. #14556573C23semidirect
437. #14556573C23semidirect
438. #14556573C23semidirect
444. #14556572C23semidirect
445. #14556572C23semidirect
446. #14556572C23semidirect
447. #14556572C23semidirect
448. #14556572C23semidirect
449. #14556572C23semidirect
450. #14556572C23semidirect
451. #14556572C23semidirect
452. #14556572C23semidirect
453. #14556572C23semidirect
454. #14556572C23semidirect
458. #14556571C23semidirect
460. #14556570C23semidirect
461. #14556570C23semidirect
462. #14556570C23semidirect
463. #14556570C23semidirect
464. #14556570C23semidirect
468. #14556569C23semidirect
469. #14556569C23semidirect
470. #14556569C23semidirect
472. #14556568C23semidirect
473. #14556568C23semidirect
474. #14556568C23semidirect
475. #14556568C23semidirect
476. #14556568C23semidirect
477. #14556568C23semidirect
486. #14556567C23semidirect
487. #14556567C23semidirect
488. #14556567C23semidirect
489. #14556567C23semidirect
490. #14556567C23semidirect
491. #14556567C23semidirect
492. #14556567C23semidirect
493. #14556567C23semidirect
500. #14556566C23semidirect
505. #14556565C23semidirect
506. #14556565C23semidirect
507. #14556565C23semidirect
508. #14556565C23semidirect
509. #14556565C23semidirect
510. #14556565C23semidirect
511. #14556565C23semidirect
512. #14556565C23semidirect
513. #14556565C23semidirect
514. #14556565C23semidirect
515. #14556565C23semidirect
523. #14556564C23semidirect
524. #14556564C23semidirect
525. #14556564C23semidirect
526. #14556564C23semidirect
527. #14556564C23semidirect
528. #14556564C23semidirect
529. #14556564C23semidirect
535. #14556563C23semidirect
536. #14556563C23semidirect
537. #14556563C23semidirect
538. #14556563C23semidirect
539. #14556563C23semidirect
540. #14556563C23semidirect
541. #14556563C23semidirect
542. #14556563C23semidirect
543. #14556563C23semidirect
544. #14556563C23semidirect
545. #14556563C23semidirect
546. #14556563C23semidirect
547. #14556563C23semidirect
548. #14556563C23semidirect
549. #14556563C23semidirect
550. #14556563C23semidirect
551. #14556563C23semidirect
565. #14556562C23semidirect
566. #14556562C23semidirect
567. #14556562C23semidirect
568. #14556562C23semidirect
569. #14556562C23semidirect
570. #14556562C23semidirect
571. #14556562C23semidirect
572. #14556562C23semidirect
573. #14556562C23semidirect
574. #14556562C23semidirect
575. #14556562C23semidirect
576. #14556562C23semidirect
577. #14556562C23semidirect
578. #14556562C23semidirect
579. #14556562C23semidirect
580. #14556562C23semidirect
581. #14556562C23semidirect
587. #14556561C23semidirect
588. #14556561C23semidirect
591. #14556560C23semidirect
592. #14556560C23semidirect
593. #14556560C23semidirect
594. #14556560C23semidirect
595. #14556560C23semidirect
615. #14556559C23semidirect
616. #14556559C23semidirect
617. #14556559C23semidirect
618. #14556559C23semidirect
619. #14556559C23semidirect
620. #14556559C23semidirect
621. Q8×Dic73C23semidirect
622. Q8×Dic73C23semidirect
623. #14556556C23semidirect
627. C4×D292C23semidirect
628. C4×D292C23semidirect
629. C4×D292C23semidirect
632. D4×Dic73C23semidirect
633. D4×Dic73C23semidirect
634. D4×Dic73C23semidirect
635. D4×Dic73C23semidirect
636. D4×Dic73C23semidirect
637. D4×Dic73C23semidirect
638. D4×Dic73C23semidirect
639. D4×Dic73C23semidirect
640. D4×Dic73C23semidirect
641. D4×Dic73C23semidirect
644. #14556553C23semidirect
645. #14556553C23semidirect
646. #14556553C23semidirect
647. #14556553C23semidirect
660. C4×C22⋊D73C23semidirect
661. C4×C22⋊D73C23semidirect
662. C4×C22⋊D73C23semidirect
663. C4×C22⋊D73C23semidirect
664. C4×C22⋊D73C23semidirect
665. C4×C22⋊D73C23semidirect
666. C4×C22⋊D73C23semidirect
667. C4×C22⋊D73C23semidirect
668. C4×C22⋊D73C23semidirect
669. C4×C22⋊D73C23semidirect
670. C4×C22⋊D73C23semidirect
671. C4×C22⋊D73C23semidirect
672. C4×C22⋊D73C23semidirect
673. C4×C22⋊D73C23semidirect
674. C4×C22⋊D73C23semidirect
679. #14556551C23semidirect
680. #14556551C23semidirect
681. #14556551C23semidirect
682. #14556551C23semidirect
683. #14556551C23semidirect
684. #14556551C23semidirect
685. #14556551C23semidirect
690. #14556550C23semidirect
691. #14556550C23semidirect
692. #14556550C23semidirect
693. #14556550C23semidirect
694. #14556550C23semidirect
696. #14556549C23semidirect
697. #14556549C23semidirect
698. #14556549C23semidirect
699. #14556549C23semidirect
701. #14556548C23semidirect
702. #14556548C23semidirect
704. #14556547C23semidirect
705. #14556547C23semidirect
707. C2×C4⋊Dic73C23semidirect
708. C2×C4⋊Dic73C23semidirect
709. C2×C4⋊Dic73C23semidirect
710. C2×C4⋊Dic73C23semidirect
712. C2×#11924007C23semidirect
713. C2×#11924007C23semidirect
718. C4⋊C4×D73C23semidirect
719. C4⋊C4×D73C23semidirect
720. C4⋊C4×D73C23semidirect
721. C4⋊C4×D73C23semidirect
722. C4⋊C4×D73C23semidirect
726. C2×C22⋊Dic73C23semidirect
727. C2×C22⋊Dic73C23semidirect
728. C2×C22⋊Dic73C23semidirect
735. C2×#11924005C23semidirect
746. C22⋊C4×D73C23semidirect
747. C22⋊C4×D73C23semidirect
748. C22⋊C4×D73C23semidirect
749. C2×C4×Dic73C23semidirect
750. C42×D73C23semidirect
757. C2×#41×C73C23semidirect
758. C2×#41×C73C23semidirect
759. C2×#41×C73C23semidirect
760. C2×#41×C73C23semidirect
761. C2×#41×C73C23semidirect
762. C22×Q8×C73C23semidirect
767. C22×D4×C73C23semidirect
768. C22×D4×C73C23semidirect
769. C22×D4×C73C23semidirect
770. C22×D4×C73C23semidirect
772. C23×C4×C73C23semidirect
773. #127×C73C23semidirect
774. #127×C73C23semidirect
775. #124×C73C23semidirect
776. #124×C73C23semidirect
778. #123×C73C23semidirect
779. C22⋊Q8×C73C23semidirect
780. C22⋊Q8×C73C23semidirect
781. C22⋊Q8×C73C23semidirect
782. C22⋊Q8×C73C23semidirect
783. C22⋊Q8×C73C23semidirect
789. #121×C73C23semidirect
790. #121×C73C23semidirect
791. #121×C73C23semidirect
792. #121×C73C23semidirect
793. #121×C73C23semidirect
794. #121×C73C23semidirect
795. #121×C73C23semidirect
796. #121×C73C23semidirect
797. #121×C73C23semidirect
798. #121×C73C23semidirect
799. #121×C73C23semidirect
802. #120×C73C23semidirect
803. #120×C73C23semidirect
804. #120×C73C23semidirect
805. C4×Q8×C73C23semidirect
807. C4×D4×C73C23semidirect
808. C4×D4×C73C23semidirect
809. C4×D4×C73C23semidirect
810. C4×D4×C73C23semidirect
811. C4×D4×C73C23semidirect
813. #117×C73C23semidirect
815. C2×C4⋊C4×C73C23semidirect
817. C2×C22⋊C4×C73C23semidirect
1218. C22×D73H(5,𝔽2)semidirect
1263. C2×C4×C73H(5,𝔽2)semidirect
1491. #3488D73semidirect
1498. C73#62818semidirect
1501. C2×H(5,𝔽2)C2×D73semidirect
1503. C22×#41C2×D73semidirect
1554. #550C2×D73semidirect
1558. #548C2×D73semidirect
1597. #546C2×D73semidirect
1598. #546C2×D73semidirect
1617. D42C2×D73semidirect
1618. D42C2×D73semidirect
1654. #537C2×D73semidirect
1655. #537C2×D73semidirect
1664. #535C2×D73semidirect
1665. #535C2×D73semidirect
1711. #525C2×D73semidirect
1712. #525C2×D73semidirect
1739. C2×#121C2×D73semidirect
1740. C2×#121C2×D73semidirect
1748. #520C2×D73semidirect
1786. C2×#41C22×D73semidirect
1787. C2×#41C22×D73semidirect
1788. C2×#41C22×D73semidirect
1789. C2×#41C22×D73semidirect
1790. C2×#41C22×D73semidirect
1792. C22×Q8C22×D73semidirect
1828. C22×D4C22×D73semidirect
1829. C22×D4C22×D73semidirect
1830. C22×D4C22×D73semidirect
1831. C22×D4C22×D73semidirect
1849. C23×C4C22×D73semidirect
1860. #127C22×D73semidirect
1861. #127C22×D73semidirect
1896. #124C22×D73semidirect
1897. #124C22×D73semidirect
1945. #123C22×D73semidirect
1985. C22⋊Q8C22×D73semidirect
1986. C22⋊Q8C22×D73semidirect
1987. C22⋊Q8C22×D73semidirect
1988. C22⋊Q8C22×D73semidirect
1989. C22⋊Q8C22×D73semidirect
2083. #121C22×D73semidirect
2084. #121C22×D73semidirect
2085. #121C22×D73semidirect
2086. #121C22×D73semidirect
2087. #121C22×D73semidirect
2088. #121C22×D73semidirect
2089. #121C22×D73semidirect
2090. #121C22×D73semidirect
2091. #121C22×D73semidirect
2092. #121C22×D73semidirect
2093. #121C22×D73semidirect
2135. #120C22×D73semidirect
2136. #120C22×D73semidirect
2137. #120C22×D73semidirect
2141. C4×Q8C22×D73semidirect
2205. C4×D4C22×D73semidirect
2206. C4×D4C22×D73semidirect
2207. C4×D4C22×D73semidirect
2208. C4×D4C22×D73semidirect
2209. C4×D4C22×D73semidirect
2231. #117C22×D73semidirect
2250. C2×C4⋊C4C22×D73semidirect
2278. C2×C22⋊C4C22×D73semidirect
2821. C2×C4#14556636semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroupindex
#226242492
#226242452
#226242372
#226242352
#226241642
#226241622
#226241492
#226241472
#226241132
#226241092
#226239622
#226239602
#226239572
#226239512
#226237672
#226237592
#226236882
#226236872
#226236682
#226236672
#226236632
#226236602
#226236382
#226236342
#226236132
#226236002
#226235952
#226235932
#226235652
#226235622
#226235592
C2×#179890942
#525×D732
C2×#121×D732
C73×#34882
#6281873