Finite Group Databasebeta

← #33994612

Subgroups — #33994612

Order 18688.

8042 conjugacy classes of subgroups.

The subgroup lattice has 2682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624252C212yesmaximal, complemented
2#22624248C212yesmaximal, complemented
3#22624232C214yesmaximal, complemented
4#22624168C212yesmaximal, complemented
5#22624162C212yesmaximal, complemented
6#22624154C212yesmaximal, complemented
7#22624148C212yesmaximal, complemented
8#22624118C212yesmaximal, complemented
9#22624116C214yesmaximal, complemented
10#22624110C212yesmaximal, complemented
11#22623958C212yesmaximal, complemented
12#22623957C212yesmaximal, complemented
13#22623952C214yesmaximal, complemented
14#22623770C211yesmaximal, characteristic, complemented
15#22623768C212yesmaximal, complemented
16#22623765C211yesmaximal, characteristic, complemented
17#22623690C212yesmaximal, complemented
18#22623688C211yesmaximal, characteristic, complemented
19#22623661C212yesmaximal, complemented
20#22623655C212yesmaximal, complemented
21#22623633C212yesmaximal, complemented
22#22623613C214yesmaximal, complemented
23#22623596C212yesmaximal, complemented
24#22623591C212yesmaximal, complemented
25#22623563C212yesmaximal, complemented
26#22623562C212yesmaximal, complemented
27#22623559C212yesmaximal, complemented
28C2×#17989097C211yesmaximal, characteristic, complemented
29C2×#17989096C211yesmaximal, characteristic, complemented
30C2×#121×D73C211yesmaximal, characteristic, complemented
31C73×#3496C211yesmaximal, characteristic, complemented
32C2×#14556636C2212yescomplemented
33C2×#14556636C2212yescomplemented
34C22×#11924028C2211yescharacteristic, complemented
35C22×#11924027C2211yescharacteristic, complemented
36C22×D4×D73C2211yescharacteristic, complemented
37C22×D4×D73C2212yescomplemented
38C23×C4×D73C2211yescharacteristic, complemented
39#17989334C2214yescomplemented
40#17989333C2214yescomplemented
41#17989333C2214yescomplemented
42#17989332C2214yescomplemented
43#17989327C2214yescomplemented
44#17989326C2214yescomplemented
45#17989326C2214yescomplemented
46#17989325C2214yescomplemented
47#17989303C2212yescomplemented
48#17989301C2212yescomplemented
49#17989299C2214yescomplemented
50#17989298C2212yescomplemented
51#17989292C2212yescomplemented
52#17989291C2214yescomplemented
53#17989289C2212yescomplemented
54#17989289C2214yescomplemented
55#17989287C2212yescomplemented
56#17989287C2212yescomplemented
57#17989286C2214yescomplemented
58#17989286C2214yescomplemented
59#17989285C2212yescomplemented
60#17989284C2212yescomplemented
61#17989283C2212yescomplemented
62#17989282C2214yescomplemented
63#17989280C2214yescomplemented
64#17989280C2214yescomplemented
65#17989280C2214yescomplemented
66#17989277C2212yescomplemented
67#17989274C2214yescomplemented
68#17989272C2212yescomplemented
69#17989268C2214yescomplemented
70#17989267C2214yescomplemented
71#17989266C2214yescomplemented
72#17989266C2214yescomplemented
73#17989265C2214yescomplemented
74#17989264C2214yescomplemented
75#17989263C2214yescomplemented
76#17989260C2214yescomplemented
77#17989257C2212yescomplemented
78#17989255C2214yescomplemented
79#17989255C2212yescomplemented
80#17989246C2212yescomplemented
81#17989243C2212yescomplemented
82#17989243C2214yescomplemented
83#17989238C2212yescomplemented
84#17989237C2212yescomplemented
85#17989236C2214yescomplemented
86#17989236C2214yescomplemented
87#17989234C2212yescomplemented
88#17989234C2214yescomplemented
89#17989233C2212yescomplemented
90#17989232C2212yescomplemented
91#17989232C2212yescomplemented
92#17989231C2212yescomplemented
93#17989231C2214yescomplemented
94#17989231C2212yescomplemented
95#17989231C2214yescomplemented
96#17989229C2214yescomplemented
97#17989229C2214yescomplemented
98#17989227C2214yescomplemented
99#17989227C2214yescomplemented
100#17989227C2214yescomplemented
101#17989226C2214yescomplemented
102#17989226C2214yescomplemented
103#17989226C2214yescomplemented
104#17989226C2214yescomplemented
105#17989226C2214yescomplemented
106#17989225C2214yescomplemented
107#17989225C2214yescomplemented
108#17989225C2214yescomplemented
109#17989225C2214yescomplemented
110#17989225C2214yescomplemented
111#17989225C2214yescomplemented
112#17989224C2214yescomplemented
113#17989224C2214yescomplemented
114#17989222C2212yescomplemented
115#17989221C2212yescomplemented
116#17989221C2214yescomplemented
117#17989221C2214yescomplemented
118D4×C22⋊D73C2214yescomplemented
119D4×C22⋊D73C2212yescomplemented
120D4×C22⋊D73C2214yescomplemented
121D4×C22⋊D73C2214yescomplemented
122D4×C22⋊D73C2214yescomplemented
123D4×C22⋊D73C2214yescomplemented
124D4×C22⋊D73C2214yescomplemented
125D4×C22⋊D73C2212yescomplemented
126#17989219C2214yescomplemented
127#17989219C2214yescomplemented
128#17989219C2214yescomplemented
129#17989214C2212yescomplemented
130#17989212C2214yescomplemented
131#17989211C2212yescomplemented
132#17989207C2214yescomplemented
133#17989202C2212yescomplemented
134#17989191C2212yescomplemented
135#17989189C2214yescomplemented
136#17989189C2214yescomplemented
137#17989188C2214yescomplemented
138#17989188C2212yescomplemented
139#17989187C2214yescomplemented
140#17989187C2214yescomplemented
141#17989184C2212yescomplemented
142#17989183C2214yescomplemented
143#17989182C2212yescomplemented
144#17989181C2214yescomplemented
145#17989180C2214yescomplemented
146#17989177C2214yescomplemented
147#17989175C2214yescomplemented
148#17989175C2212yescomplemented
149#17989174C2212yescomplemented
150#17989173C2214yescomplemented
151#17989172C2214yescomplemented
152#17989172C2214yescomplemented
153#17989171C2214yescomplemented
154#17989171C2214yescomplemented
155#17989169C2214yescomplemented
156#17989169C2214yescomplemented
157#17989168C2212yescomplemented
158#17989166C2212yescomplemented
159#17989166C2212yescomplemented
160#17989165C2214yescomplemented
161#17989164C2214yescomplemented
162#17989164C2212yescomplemented
163#17989154C2212yescomplemented
164#17989153C2212yescomplemented
165#17989153C2212yescomplemented
166#17989152C2214yescomplemented
167#17989152C2214yescomplemented
168#17989151C2214yescomplemented
169#17989150C2212yescomplemented
170#17989148C2214yescomplemented
171#17989147C2214yescomplemented
172#17989147C2214yescomplemented
173#17989146C2212yescomplemented
174#17989146C2212yescomplemented
175#17989146C2214yescomplemented
176#17989146C2212yescomplemented
177#17989146C2214yescomplemented
178#17989145C2214yescomplemented
179#17989145C2212yescomplemented
180#17989133C2214yescomplemented
181#17989132C2212yescomplemented
182#17989121C2212yescomplemented
183#17989118C2212yescomplemented
184#17989114C2214yescomplemented
185#17989098C2212yescomplemented
186#17989097C2212yescomplemented
187#17989097C2212yescomplemented
188#17989097C2212yescomplemented
189#17989097C2212yescomplemented
190#17989097C2212yescomplemented
191#17989097C2212yescomplemented
192#17989097C2212yescomplemented
193#17989097C2212yescomplemented
194#17989097C2212yescomplemented
195#17989096C2212yescomplemented
196#17989096C2212yescomplemented
197#17989096C2212yescomplemented
198#17989096C2212yescomplemented
199#17989096C2212yescomplemented
200#17989096C2212yescomplemented
201#17989096C2212yescomplemented
202#17989096C2212yescomplemented
203#17989095C2214yescomplemented
204#17989094C2214yescomplemented
205#17989093C2214yescomplemented
206C2×#14556576C2211yescharacteristic, complemented
207C2×#14556573C2212yescomplemented
208C2×#14556573C2211yescharacteristic, complemented
209C2×#14556571C2211yescharacteristic, complemented
210C2×#14556570C2211yescharacteristic, complemented
211C2×#14556569C2211yescharacteristic, complemented
212C2×#14556568C2211yescharacteristic, complemented
213C2×#14556566C2211yescharacteristic, complemented
214C2×#14556565C2211yescharacteristic, complemented
215C2×#14556564C2212yescomplemented
216C2×#14556564C2211yescharacteristic, complemented
217C2×#14556563C2212yescomplemented
218C2×#14556563C2211yescharacteristic, complemented
219C2×#14556563C2214yescomplemented
220C2×#14556562C2211yescharacteristic, complemented
221C2×#14556562C2211yescharacteristic, complemented
222#121×D73C2212yescomplemented
223#121×D73C2212yescomplemented
224#121×D73C2212yescomplemented
225#121×D73C2212yescomplemented
226#121×D73C2212yescomplemented
227#121×D73C2212yescomplemented
228#121×D73C2212yescomplemented
229#121×D73C2212yescomplemented
230#121×D73C2212yescomplemented
231C2×#14556561C2211yescharacteristic, complemented
232C2×#14556559C2214yescomplemented
233C2×#14556559C2211yescharacteristic, complemented
234C2×#14556559C2212yescomplemented
235#120×D73C2214yescomplemented
236#17989068C2212yescomplemented
237#17989066C2212yescomplemented
238#17989062C2212yescomplemented
239#17989060C2212yescomplemented
240#17989060C2214yescomplemented
241#17989059C2212yescomplemented
242#17989059C2214yescomplemented
243C2×C4×D292C2211yescharacteristic, complemented
244C2×D4×Dic73C2212yescomplemented
245C2×C4×C22⋊D73C2211yescharacteristic, complemented
246C2×C4×C22⋊D73C2211yescharacteristic, complemented
247C2×#14556551C2212yescomplemented
248C2×#14556549C2211yescharacteristic, complemented
249C2×#14556548C2211yescharacteristic, complemented
250C2×C4⋊C4×D73C2211yescharacteristic, complemented
251C2×C22⋊C4×D73C2212yescomplemented
252C2×H(5,𝔽2)×C73C2212yescomplemented
253#547×C73C2212yescomplemented
254#547×C73C2212yescomplemented
255#546×C73C2214yescomplemented
256#546×C73C2214yescomplemented
257D42×C73C2212yescomplemented
258D42×C73C2212yescomplemented
259#537×C73C2212yescomplemented
260#534×C73C2212yescomplemented
261#534×C73C2212yescomplemented
262#532×C73C2212yescomplemented
263C2×#121×C73C2211yescharacteristic, complemented
264C2×#121×C73C2211yescharacteristic, complemented
265C2×#121×C73C2212yescomplemented
266C2×C4×D4×C73C2211yescharacteristic, complemented
267C24×D73C2311yescharacteristic
268C24×D73C2312yes—
269#14556636—48no—
270#14556636—48no—
271C2×#11924028—44no—
272C2×#11924028C2312yes—
273C2×#11924028C2312yes—
274C2×#11924028C2314yescomplemented
275C2×#11924028C2312yescomplemented
276C2×#11924028C2312yescomplemented
277C2×#11924028C2312yescomplemented
278C2×#11924027—44no—
279C2×#11924027C2312yes—
280C2×#11924027C2314yes—
281C2×#11924027C2312yes—
282C2×#11924027C2314yescomplemented
283C2×#11924027C2312yescomplemented
284C2×#11924027C2312yescomplemented
285C2×#11924027C2314yescomplemented
286C2×#11924027C2312yescomplemented
287C22×Dic146C2311yescharacteristic, complemented
288C22×Dic146C2311yescharacteristic, complemented
289C22×D292C2312yes—
290C22×D292C2311yescharacteristic
291C22×D292C2311yescharacteristic
292C22×D292C2311yescharacteristic
293C22×C22⋊D73C2312yes—
294C22×C22⋊D73C2311yescharacteristic
295C22×C22⋊D73C2312yes—
296C22×C22⋊D73C2314yes—
297C22×C22⋊D73C2314yes—
298C22×C22⋊D73C2312yes—
299C22×C22⋊D73C2312yes—
300C22×C22⋊D73C2311yescharacteristic
301C22×C22⋊D73C2312yes—
302C22×C22⋊D73C2311yescharacteristic
303C22×C22⋊D73C2314yescomplemented
304C22×C22⋊D73C2314yescomplemented
305C22×C22⋊D73C2311yescharacteristic, complemented
306C2×D4×D73—48no—
307C2×D4×D73—44no—
308C2×D4×D73C2312yes—
309C2×D4×D73C2312yes—
310C2×D4×D73C2314yes—
311C2×D4×D73C2314yes—
312C2×D4×D73C2314yes—
313C2×D4×D73C2312yes—
314C2×D4×D73C2314yes—
315C2×D4×D73C2314yes—
316C2×D4×D73C2314yes—
317C2×D4×D73C2314yes—
318C2×D4×D73C2312yes—
319C2×D4×D73C2314yescomplemented
320C2×D4×D73C2312yescomplemented
321C23×Dic73C2311yescharacteristic
322C23×Dic73C2312yescomplemented
323C22×C4×D73—44no—
324C22×C4×D73C2311yescharacteristic
325C22×C4×D73C2311yescharacteristic
326C22×C4×D73C2311yescharacteristic
327C22×C4×D73C2311yescharacteristic
328C22×C4×D73C2311yescharacteristic
329C22×C4×D73C2311yescharacteristic
330C22×C4×D73C2311yescharacteristic
331C22×C4×D73C2311yescharacteristic
332C22×C4×D73C2311yescharacteristic
333C22×C4×D73C2311yescharacteristic
334C22×C4×D73C2311yescharacteristic
335C22×C4×D73C2311yescharacteristic
336C22×C4×D73C2312yes—
337C22×C4×D73C2311yescharacteristic, complemented
338#14556590C2312yescomplemented
339#14556589C2314yescomplemented
340#14556587C2312yescomplemented
341#14556587C2314yescomplemented
342#14556587C2314yescomplemented
343#14556587C2314yescomplemented
344#14556587C2314yescomplemented
345#14556587C2314yescomplemented
346#14556586C2314yescomplemented
347#14556586C2314yescomplemented
348#14556586C2314yescomplemented
349#14556586C2314yescomplemented
350#14556585C2314yescomplemented
351#14556584C2314yescomplemented
352#14556584C2314yescomplemented
353#14556584C2314yescomplemented
354#14556584C2314yescomplemented
355#14556584C2314yescomplemented
356#14556584C2314yescomplemented
357#14556584C2314yescomplemented
358#14556583C2312yescomplemented
359#14556582C2314yescomplemented
360#14556582C2312yescomplemented
361#14556581C2314yescomplemented
362#14556581C2314yescomplemented
363#14556581C2314yescomplemented
364#14556581C2314yescomplemented
365#14556580C2314yescomplemented
366#14556580C2314yescomplemented
367#14556580C2314yescomplemented
368#14556579C2312yescomplemented
369#14556578C2314yescomplemented
370#14556578C2312yescomplemented
371#14556578C2314yescomplemented
372#14556577C2314yescomplemented
373#14556577C2314yescomplemented
374#14556577C2314yescomplemented
375#14556577C2314yescomplemented
376#14556577C2314yescomplemented
377#14556577C2314yescomplemented
378#14556577C2314yescomplemented
379#14556576C2312yes—
380#14556576C2312yes—
381#14556576C2314yescomplemented
382#14556576C2314yescomplemented
383#14556576C2314yescomplemented
384#14556576C2314yescomplemented
385#14556576C2312yescomplemented
386#14556576C2312yescomplemented
387#14556575C2314yescomplemented
388#14556575C2314yescomplemented
389#14556575C2314yescomplemented
390#14556574C2314yes—
391#14556574C2314yescomplemented
392#14556574C2314yescomplemented
393#14556574C2314yescomplemented
394#14556574C2314yescomplemented
395#14556574C2314yescomplemented
396#14556574C2314yescomplemented
397#14556574C2314yescomplemented
398#14556573C2314yes—
399#14556573C2312yes—
400#14556573C2312yes—
401#14556573C2314yes—
402#14556573C2314yescomplemented
403#14556573C2314yescomplemented
404#14556573C2314yescomplemented
405#14556573C2314yescomplemented
406#14556573C2314yescomplemented
407#14556573C2314yescomplemented
408#14556573C2312yescomplemented
409#14556573C2312yescomplemented
410#14556573C2314yescomplemented
411#14556572C2314yes—
412#14556572C2314yes—
413#14556572C2314yescomplemented
414#14556572C2314yescomplemented
415#14556572C2314yescomplemented
416#14556572C2314yescomplemented
417#14556572C2314yescomplemented
418#14556572C2314yescomplemented
419#14556571C2312yes—
420#14556571C2312yes—
421#14556571C2312yescomplemented
422#14556571C2312yescomplemented
423#14556571C2314yescomplemented
424#14556571C2312yescomplemented
425#14556570C2312yes—
426#14556570C2312yes—
427#14556570C2312yescomplemented
428#14556570C2314yescomplemented
429#14556570C2314yescomplemented
430#14556570C2312yescomplemented
431#14556570C2312yescomplemented
432#14556569C2312yes—
433#14556569C2314yes—
434#14556569C2314yes—
435#14556569C2312yes—
436#14556569C2312yescomplemented
437#14556569C2314yescomplemented
438#14556569C2314yescomplemented
439#14556569C2312yescomplemented
440#14556568C2312yes—
441#14556568C2312yes—
442#14556568C2314yescomplemented
443#14556568C2314yescomplemented
444#14556568C2314yescomplemented
445#14556568C2314yescomplemented
446#14556568C2312yescomplemented
447#14556568C2312yescomplemented
448#14556567C2314yes—
449#14556567C2314yes—
450#14556567C2314yescomplemented
451#14556567C2314yescomplemented
452#14556566C2312yes—
453#14556566C2312yes—
454#14556566C2312yes—
455#14556566C2312yes—
456#14556566C2314yescomplemented
457#14556566C2314yescomplemented
458#14556566C2312yescomplemented
459#14556565C2312yes—
460#14556565C2312yes—
461#14556565C2312yes—
462#14556565C2312yes—
463#14556565C2314yescomplemented
464#14556565C2314yescomplemented
465#14556565C2314yescomplemented
466#14556565C2314yescomplemented
467#14556565C2314yescomplemented
468#14556565C2312yescomplemented
469#14556565C2314yescomplemented
470#14556564C2312yes—
471#14556564C2314yes—
472#14556564C2314yes—
473#14556564C2314yes—
474#14556564C2314yes—
475#14556564C2312yes—
476#14556564C2314yes—
477#14556564C2314yes—
478#14556564C2314yescomplemented
479#14556564C2314yescomplemented
480#14556564C2314yescomplemented
481#14556564C2314yescomplemented
482#14556564C2312yescomplemented
483#14556564C2314yescomplemented
484#14556564C2314yescomplemented
485#14556564C2314yescomplemented
486#14556564C2312yescomplemented
487#14556563C2314yes—
488#14556563C2314yes—
489#14556563C2312yes—
490#14556563C2314yes—
491#14556563C2312yes—
492#14556563C2314yes—
493#14556563C2314yescomplemented
494#14556563C2312yescomplemented
495#14556563C2314yescomplemented
496#14556563C2314yescomplemented
497#14556563C2314yescomplemented
498#14556563C2314yescomplemented
499#14556563C2312yescomplemented
500#14556563C2314yescomplemented
501#14556563C2314yescomplemented
502#14556563C2314yescomplemented
503#14556563C2314yescomplemented
504#14556563C2314yescomplemented
505#14556563C2314yescomplemented
506#14556563C2314yescomplemented
507#14556563C2314yescomplemented
508#14556563C2314yescomplemented
509#14556563C2314yescomplemented
510#14556563C2314yescomplemented
511#14556563C2314yescomplemented
512#14556563C2314yescomplemented
513#14556563C2314yescomplemented
514#14556563C2314yescomplemented
515#14556562C2312yes—
516#14556562C2314yes—
517#14556562C2312yes—
518#14556562C2314yes—
519#14556562C2312yes—
520#14556562C2312yes—
521#14556562C2312yes—
522#14556562C2312yes—
523#14556562C2314yescomplemented
524#14556562C2314yescomplemented
525#14556562C2312yescomplemented
526#14556562C2312yescomplemented
527#14556562C2312yescomplemented
528#14556562C2314yescomplemented
529#14556562C2312yescomplemented
530#14556561C2314yes—
531#14556561C2312yes—
532#14556561C2314yes—
533#14556561C2312yes—
534#14556561C2312yes—
535#14556561C2312yes—
536#14556561C2314yescomplemented
537#14556561C2314yescomplemented
538#14556561C2314yescomplemented
539#14556560C2314yes—
540#14556560C2314yescomplemented
541#14556560C2314yescomplemented
542#14556560C2314yescomplemented
543#14556560C2314yescomplemented
544#14556560C2314yescomplemented
545#14556560C2314yescomplemented
546#14556559C2314yes—
547#14556559C2312yes—
548#14556559C2314yes—
549#14556559C2314yes—
550#14556559C2314yes—
551#14556559C2314yes—
552#14556559C2314yes—
553#14556559C2314yes—
554#14556559C2314yes—
555#14556559C2314yes—
556#14556559C2312yes—
557#14556559C2312yes—
558#14556559C2314yes—
559#14556559C2314yes—
560#14556559C2314yes—
561#14556559C2312yes—
562#14556559C2314yescomplemented
563#14556559C2314yescomplemented
564#14556559C2314yescomplemented
565#14556559C2314yescomplemented
566C4×Dic146C2312yescomplemented
567#14556556C2314yescomplemented
568#14556556C2312yescomplemented
569C4×D292C2312yes—
570C4×D292C2312yes—
571C4×D292C2312yescomplemented
572C4×D292C2312yescomplemented
573C4×D292C2312yescomplemented
574D4×Dic73C2314yes—
575D4×Dic73C2314yes—
576D4×Dic73C2312yescomplemented
577D4×Dic73C2314yescomplemented
578D4×Dic73C2314yescomplemented
579D4×Dic73C2314yescomplemented
580D4×Dic73C2314yescomplemented
581D4×Dic73C2314yescomplemented
582D4×Dic73C2312yescomplemented
583D4×Dic73C2314yescomplemented
584D4×Dic73C2314yescomplemented
585#14556553C2314yes—
586#14556553C2314yes—
587#14556553C2312yescomplemented
588C4×C22⋊D73C2312yes—
589C4×C22⋊D73C2314yes—
590C4×C22⋊D73C2314yes—
591C4×C22⋊D73C2314yes—
592C4×C22⋊D73C2314yes—
593C4×C22⋊D73C2312yes—
594C4×C22⋊D73C2312yes—
595C4×C22⋊D73C2312yes—
596C4×C22⋊D73C2314yescomplemented
597C4×C22⋊D73C2314yescomplemented
598C4×C22⋊D73C2314yescomplemented
599C4×C22⋊D73C2314yescomplemented
600C4×C22⋊D73C2314yescomplemented
601C4×C22⋊D73C2312yescomplemented
602C4×C22⋊D73C2314yescomplemented
603C4×C22⋊D73C2314yescomplemented
604C4×C22⋊D73C2312yescomplemented
605C4×C22⋊D73C2312yescomplemented
606C4×C22⋊D73C2312yescomplemented
607#14556551C2314yes—
608#14556551C2314yes—
609#14556551C2314yes—
610#14556551C2314yes—
611#14556551C2314yescomplemented
612#14556551C2314yescomplemented
613#14556551C2314yescomplemented
614#14556551C2314yescomplemented
615#14556551C2314yescomplemented
616#14556551C2314yescomplemented
617#14556551C2314yescomplemented
618#14556551C2314yescomplemented
619#14556550C2314yes—
620#14556550C2312yescomplemented
621#14556549C2312yes—
622#14556549C2312yes—
623#14556549C2312yescomplemented
624#14556549C2312yescomplemented
625#14556549C2314yescomplemented
626#14556549C2312yescomplemented
627#14556548C2312yes—
628#14556548C2312yes—
629#14556548C2314yescomplemented
630#14556548C2312yescomplemented
631#14556548C2312yescomplemented
632#14556547C2314yes—
633#14556547C2314yescomplemented
634#14556547C2314yescomplemented
635#14556547C2314yescomplemented
636C2×C4⋊Dic73C2311yescharacteristic
637C2×C4⋊Dic73C2312yescomplemented
638C2×C4⋊Dic73C2311yescharacteristic, complemented
639C2×C4⋊Dic73C2311yescharacteristic, complemented
640C2×#11924007C2312yes—
641C2×#11924007C2311yescharacteristic, complemented
642C2×#11924007C2314yescomplemented
643C2×#11924007C2311yescharacteristic, complemented
644C2×#11924007C2311yescharacteristic, complemented
645C2×#11924007C2311yescharacteristic, complemented
646C2×#11924007C2312yescomplemented
647C4⋊C4×D73C2312yes—
648C4⋊C4×D73C2312yes—
649C4⋊C4×D73C2312yes—
650C4⋊C4×D73C2312yes—
651C4⋊C4×D73C2312yescomplemented
652C2×C22⋊Dic73C2311yescharacteristic
653C2×C22⋊Dic73C2312yes—
654C2×C22⋊Dic73C2314yes—
655C2×C22⋊Dic73C2312yes—
656C2×C22⋊Dic73C2312yescomplemented
657C2×C22⋊Dic73C2314yescomplemented
658C2×C22⋊Dic73C2311yescharacteristic, complemented
659C2×#11924005C2314yes—
660C2×#11924005C2314yes—
661C2×#11924005C2311yescharacteristic
662C2×#11924005C2311yescharacteristic
663C2×#11924005C2312yes—
664C2×#11924005C2312yes—
665C2×#11924005C2312yes—
666C2×#11924005C2311yescharacteristic
667C2×#11924005C2311yescharacteristic
668C2×#11924005C2312yes—
669C2×#11924005C2311yescharacteristic, complemented
670C2×#11924005C2314yescomplemented
671C2×#11924005C2311yescharacteristic, complemented
672C22⋊C4×D73C2314yes—
673C22⋊C4×D73C2314yes—
674C22⋊C4×D73C2314yes—
675C22⋊C4×D73C2314yes—
676C22⋊C4×D73C2314yes—
677C22⋊C4×D73C2314yes—
678C22⋊C4×D73C2314yes—
679C22⋊C4×D73C2314yescomplemented
680C2×C4×Dic73C2311yescharacteristic, complemented
681C2×C4×Dic73C2312yescomplemented
682H(5,𝔽2)×C73—48no—
683C2×#41×C73C2314yes—
684C2×#41×C73C2314yescomplemented
685C2×#41×C73C2314yescomplemented
686C22×D4×C73C2311yescharacteristic
687C22×D4×C73C2312yes—
688C22×D4×C73C2312yes—
689C22×D4×C73C2314yes—
690C22×D4×C73C2311yescharacteristic
691C22×D4×C73C2314yescomplemented
692C22×D4×C73C2312yescomplemented
693C22×D4×C73C2311yescharacteristic, complemented
694C22×D4×C73C2314yescomplemented
695C23×C4×C73C2311yescharacteristic
696C23×C4×C73C2311yescharacteristic, complemented
697C4⋊Q8×C73C2312yescomplemented
698#127×C73C2312yescomplemented
699#124×C73C2314yescomplemented
700#123×C73C2314yes—
701#123×C73C2314yescomplemented
702#123×C73C2314yescomplemented
703#123×C73C2314yescomplemented
704C22⋊Q8×C73C2314yescomplemented
705C22⋊Q8×C73C2314yescomplemented
706#121×C73C2312yes—
707#121×C73C2312yes—
708#121×C73C2312yes—
709#121×C73C2312yes—
710#121×C73C2312yes—
711#121×C73C2312yes—
712#121×C73C2312yescomplemented
713#121×C73C2312yescomplemented
714#121×C73C2314yescomplemented
715#121×C73C2312yescomplemented
716#121×C73C2312yescomplemented
717#121×C73C2314yescomplemented
718#121×C73C2314yescomplemented
719#121×C73C2314yescomplemented
720#121×C73C2314yescomplemented
721#120×C73C2314yes—
722#120×C73C2314yescomplemented
723#120×C73C2314yescomplemented
724#120×C73C2314yescomplemented
725C4×D4×C73C2312yes—
726C4×D4×C73C2312yes—
727C4×D4×C73C2312yescomplemented
728C4×D4×C73C2314yescomplemented
729C4×D4×C73C2312yescomplemented
730C4×D4×C73C2312yescomplemented
731C4×D4×C73C2312yescomplemented
732C2×C4⋊C4×C73C2311yescharacteristic
733C2×C4⋊C4×C73C2312yescomplemented
734C2×C4⋊C4×C73C2311yescharacteristic, complemented
735C2×C4⋊C4×C73C2311yescharacteristic, complemented
736C2×C22⋊C4×C73C2311yescharacteristic
737C2×C22⋊C4×C73C2312yes—
738C2×C22⋊C4×C73C2311yescharacteristic, complemented
739C2×C22⋊C4×C73C2314yescomplemented
740C2×C22⋊C4×C73C2312yescomplemented
741C2×C42×C73C2311yescharacteristic, complemented
742C23×D73—24no—
743C23×D73—42no—
744C23×D73—42no—
745C23×D73—44no—
746C23×D73—44no—
747C23×D73—44no—
748C23×D73C2411yescharacteristic
749C23×D73C2411yescharacteristic
750C23×D73C2411yescharacteristic
751C23×D73C2411yescharacteristic
752C23×D73C2411yescharacteristic
753C23×D73C2414yes—
754C23×D73C2414yes—
755C23×D73C2412yes—
756C23×D73C2411yescharacteristic
757C23×D73C2411yescharacteristic
758C23×D73C2414yes—
759#11924028—28no—
760#11924028—44no—
761#11924028—44no—
762#11924028—44no—
763#11924028—44no—
764#11924028—48no—
765#11924027—28no—
766#11924027—44no—
767#11924027—44no—
768#11924027—48no—
769#11924027—44no—
770#11924027—44no—
771#11924027—48no—
772#11924027—48no—
773C2×Dic146—42no—
774C2×Dic146—42no—
775C2×Dic146C2412yes—
776C2×Dic146C2412yes—
777C2×Dic146C2412yes—
778C2×Dic146C2412yes—
779C2×Dic146C2414yes—
780C2×D292—42no—
781C2×D292—42no—
782C2×D292—42no—
783C2×D292—44no—
784C2×D292C2412yes—
785C2×D292C2412yes—
786C2×D292C2412yes—
787C2×D292C2412yes—
788C2×D292C2412yes—
789C2×D292C2414yes—
790C2×D292C2412yes—
791C2×D292C2414yes—
792C2×D292C2414yes—
793C2×C22⋊D73—28no—
794C2×C22⋊D73—24no—
795C2×C22⋊D73—44no—
796C2×C22⋊D73—42no—
797C2×C22⋊D73—48no—
798C2×C22⋊D73—44no—
799C2×C22⋊D73—44no—
800C2×C22⋊D73—48no—
801C2×C22⋊D73—42no—
802C2×C22⋊D73—44no—
803C2×C22⋊D73—42no—
804C2×C22⋊D73—48no—
805C2×C22⋊D73—48no—
806C2×C22⋊D73C2414yes—
807C2×C22⋊D73C2414yes—
808C2×C22⋊D73C2414yes—
809C2×C22⋊D73C2414yes—
810C2×C22⋊D73C2412yes—
811C2×C22⋊D73C2412yes—
812C2×C22⋊D73C2412yes—
813C2×C22⋊D73C2414yes—
814C2×C22⋊D73C2412yes—
815C2×C22⋊D73C2412yes—
816C2×C22⋊D73C2414yes—
817C2×C22⋊D73C2414yes—
818C2×C22⋊D73C2414yes—
819C2×C22⋊D73C2414yes—
820C2×C22⋊D73C2412yes—
821C2×C22⋊D73C2412yes—
822C2×C22⋊D73C2414yes—
823C2×C22⋊D73C2414yes—
824C2×C22⋊D73C2414yes—
825C2×C22⋊D73C2414yes—
826C2×C22⋊D73C2412yes—
827C2×C22⋊D73C2414yes—
828C2×C22⋊D73C2414yes—
829C2×C22⋊D73C2414yes—
830C2×C22⋊D73C2414yes—
831C2×C22⋊D73C2414yes—
832D4×D73—28no—
833D4×D73—44no—
834D4×D73—44no—
835D4×D73—44no—
836D4×D73—44no—
837D4×D73—48no—
838D4×D73—48no—
839D4×D73—48no—
840D4×D73—48no—
841D4×D73—48no—
842D4×D73—48no—
843D4×D73—48no—
844D4×D73—48no—
845C22×Dic73—42no—
846C22×Dic73—44no—
847C22×Dic73C2411yescharacteristic
848C22×Dic73C2411yescharacteristic
849C22×Dic73C2412yes—
850C22×Dic73C2411yescharacteristic
851C22×Dic73C2411yescharacteristic
852C22×Dic73C2414yes—
853C22×Dic73C2411yescharacteristic
854C22×Dic73C2412yes—
855C22×Dic73C2411yescharacteristic
856C22×Dic73C2412yes—
857C22×Dic73C2411yescharacteristic
858C22×Dic73C2414yes—
859C22×Dic73C2414yes—
860C22×Dic73C2411yescharacteristic
861C22×Dic73C2414yes—
862C22×Dic73C2411yescharacteristic
863C22×Dic73C2414yes—
864C2×C4×D73—24no—
865C2×C4×D73—24no—
866C2×C4×D73—24no—
867C2×C4×D73—42no—
868C2×C4×D73—42no—
869C2×C4×D73—42no—
870C2×C4×D73—42no—
871C2×C4×D73—42no—
872C2×C4×D73—42no—
873C2×C4×D73—42no—
874C2×C4×D73—42no—
875C2×C4×D73—42no—
876C2×C4×D73—42no—
877C2×C4×D73—44no—
878C2×C4×D73C2411yescharacteristic
879C2×C4×D73C2411yescharacteristic
880C2×C4×D73C2411yescharacteristic
881C2×C4×D73C2411yescharacteristic
882C2×C4×D73C2411yescharacteristic
883C2×C4×D73C2412yes—
884C2×C4×D73C2411yescharacteristic
885C2×C4×D73C2411yescharacteristic
886C2×C4×D73C2411yescharacteristic
887C2×C4×D73C2411yescharacteristic
888C2×C4×D73C2411yescharacteristic
889C2×C4×D73C2411yescharacteristic
890C2×C4×D73C2414yes—
891C2×C4×D73C2414yes—
892C2×C4×D73C2414yes—
893C2×C4×D73C2414yes—
894C2×C4×D73C2414yes—
895C2×C4×D73C2412yes—
896C2×C4×D73C2414yes—
897C2×C4×D73C2411yescharacteristic
898C2×C4×D73C2411yescharacteristic
899C2×C4×D73C2411yescharacteristic
900C2×C4×D73C2411yescharacteristic
901C2×C4×D73C2411yescharacteristic
902C4⋊Dic73C2412yes—
903C4⋊Dic73C2412yes—
904C4⋊Dic73C2412yes—
905C4⋊Dic73C2412yes—
906C4⋊Dic73C2412yes—
907C4⋊Dic73C2414yes—
908C4⋊Dic73C2414yes—
909C4⋊Dic73C2412yes—
910C4⋊Dic73C2414yes—
911C4⋊Dic73C2414yes—
912#11924007C2414yes—
913#11924007C2414yes—
914#11924007C2414yes—
915#11924007C2412yes—
916#11924007C2412yes—
917#11924007C2412yes—
918#11924007C2414yes—
919#11924007C2412yes—
920#11924007C2412yes—
921#11924007C2414yes—
922#11924007C2414yes—
923#11924007C2412yes—
924#11924007C2412yes—
925#11924007C2412yes—
926#11924007C2414yes—
927#11924007C2414yes—
928#11924007C2414yes—
929#11924007C2414yes—
930#11924007C2414yes—
931#11924007C2414yes—
932C22⋊Dic73C2414yes—
933C22⋊Dic73C2414yes—
934C22⋊Dic73C2414yes—
935C22⋊Dic73C2414yes—
936C22⋊Dic73C2414yes—
937C22⋊Dic73C2414yes—
938C22⋊Dic73C2412yes—
939C22⋊Dic73C2414yes—
940C22⋊Dic73C2412yes—
941C22⋊Dic73C2414yes—
942C22⋊Dic73C2414yes—
943C22⋊Dic73C2412yes—
944C22⋊Dic73C2414yes—
945C22⋊Dic73C2412yes—
946C22⋊Dic73C2414yes—
947C22⋊Dic73C2414yes—
948C22⋊Dic73C2414yes—
949C22⋊Dic73C2414yes—
950#11924005C2414yes—
951#11924005C2414yes—
952#11924005C2412yes—
953#11924005C2412yes—
954#11924005C2414yes—
955#11924005C2414yes—
956#11924005C2414yes—
957#11924005C2414yes—
958#11924005C2414yes—
959#11924005C2414yes—
960#11924005C2414yes—
961#11924005C2412yes—
962#11924005C2412yes—
963#11924005C2414yes—
964#11924005C2412yes—
965#11924005C2412yes—
966#11924005C2414yes—
967#11924005C2414yes—
968#11924005C2414yes—
969#11924005C2412yes—
970#11924005C2414yes—
971#11924005C2412yes—
972#11924005C2412yes—
973#11924005C2414yes—
974#11924005C2412yes—
975#11924005C2412yes—
976#11924005C2412yes—
977#11924005C2414yes—
978C4×Dic73C2412yes—
979C4×Dic73C2414yes—
980C4×Dic73C2412yes—
981C4×Dic73C2414yes—
982C4×Dic73C2414yes—
983C4×Dic73C2414yes—
984C4×Dic73C2414yes—
985C4×Dic73C2414yes—
986C24×C73C2412yes—
987C24×C73C2412yes—
988C24×C73C2411yescharacteristic
989C24×C73C2414yes—
990C24×C73C2411yescharacteristic
991#41×C73—48no—
992#41×C73—48no—
993#41×C73—48no—
994C2×Q8×C73C2414yes—
995C2×D4×C73—24no—
996C2×D4×C73—28no—
997C2×D4×C73—28no—
998C2×D4×C73—42no—
999C2×D4×C73—42no—
1000C2×D4×C73—44no—
1001C2×D4×C73—48no—
1002C2×D4×C73—48no—
1003C2×D4×C73—48no—
1004C2×D4×C73C2412yes—
1005C2×D4×C73C2412yes—
1006C2×D4×C73C2412yes—
1007C2×D4×C73C2412yes—
1008C2×D4×C73C2414yes—
1009C2×D4×C73C2414yes—
1010C2×D4×C73C2414yes—
1011C2×D4×C73C2414yes—
1012C2×D4×C73C2414yes—
1013C2×D4×C73C2414yes—
1014C2×D4×C73C2412yes—
1015C2×D4×C73C2412yes—
1016C2×D4×C73C2414yes—
1017C2×D4×C73C2414yes—
1018C2×D4×C73C2414yes—
1019C22×C4×C73—42no—
1020C22×C4×C73—42no—
1021C22×C4×C73C2411yescharacteristic
1022C22×C4×C73C2411yescharacteristic
1023C22×C4×C73C2412yes—
1024C22×C4×C73C2412yes—
1025C22×C4×C73C2411yescharacteristic
1026C22×C4×C73C2412yes—
1027C22×C4×C73C2411yescharacteristic
1028C22×C4×C73C2411yescharacteristic
1029C22×C4×C73C2411yescharacteristic
1030C22×C4×C73C2411yescharacteristic
1031C22×C4×C73C2412yes—
1032C22×C4×C73C2411yescharacteristic
1033C22×C4×C73C2411yescharacteristic
1034C22×C4×C73C2414yes—
1035C22×C4×C73C2414yes—
1036C22×C4×C73C2414yes—
1037C4⋊C4×C73C2412yes—
1038C4⋊C4×C73C2412yes—
1039C4⋊C4×C73C2412yes—
1040C4⋊C4×C73C2412yes—
1041C4⋊C4×C73C2412yes—
1042C4⋊C4×C73C2412yes—
1043C4⋊C4×C73C2414yes—
1044C4⋊C4×C73C2414yes—
1045C22⋊C4×C73C2414yes—
1046C22⋊C4×C73C2412yes—
1047C22⋊C4×C73C2412yes—
1048C22⋊C4×C73C2414yes—
1049C22⋊C4×C73C2414yes—
1050C22⋊C4×C73C2412yes—
1051C22⋊C4×C73C2412yes—
1052C22⋊C4×C73C2414yes—
1053C22⋊C4×C73C2414yes—
1054C22⋊C4×C73C2414yes—
1055C22⋊C4×C73C2414yes—
1056C22⋊C4×C73C2414yes—
1057C42×C73C2412yes—
1058C42×C73C2412yes—
1059C23×C73—22no—
1060C23×C73—24no—
1061C23×C73—24no—
1062C23×C73—41no—
1063C23×C73—41no—
1064C23×C73—41no—
1065C23×C73—42no—
1066C23×C73—42no—
1067C23×C73—42no—
1068C23×C73—41no—
1069C23×C73—42no—
1070C23×C73—44no—
1071C23×C73—44no—
1072C23×C73—44no—
1073C23×C73H(5,𝔽2)14yescomplemented
1074C23×C73C2514yes—
1075C23×C73C2514yes—
1076C23×C73C2512yes—
1077C23×C73C2511yescharacteristic
1078C23×C73C2511yescharacteristic
1079C23×C73C2511yescharacteristic
1080C22×D73—22no—
1081C22×D73—22no—
1082C22×D73—22no—
1083C22×D73—22no—
1084C22×D73—22no—
1085C22×D73—22no—
1086C22×D73—22no—
1087C22×D73—22no—
1088C22×D73—22no—
1089C22×D73—24no—
1090C22×D73—22no—
1091C22×D73—22no—
1092C22×D73—22no—
1093C22×D73—22no—
1094C22×D73—28no—
1095C22×D73—28no—
1096C22×D73—41no—
1097C22×D73—41no—
1098C22×D73—41no—
1099C22×D73—41no—
1100C22×D73—41no—
1101C22×D73—41no—
1102C22×D73—41no—
1103C22×D73—44no—
1104C22×D73—44no—
1105C22×D73—44no—
1106C22×D73—42no—
1107C22×D73—41no—
1108C22×D73—44no—
1109C22×D73—42no—
1110C22×D73—44no—
1111C22×D73—44no—
1112C22×D73—44no—
1113C22×D73—416no—
1114C22×D73—816no—
1115C22×D73C2514yes—
1116C22×D73C2511yescharacteristic
1117C22×D73C2511yescharacteristic
1118C22×D73C2512yes—
1119C22×D73C2511yescharacteristic
1120C22×D73C2511yescharacteristic
1121Q8×C73—44no—
1122D4×C73—24no—
1123D4×C73—24no—
1124D4×C73—28no—
1125D4×C73—28no—
1126D4×C73—28no—
1127D4×C73—28no—
1128D4×C73—24no—
1129D4×C73—24no—
1130D4×C73—44no—
1131D4×C73—44no—
1132D4×C73—44no—
1133D4×C73—42no—
1134D4×C73—44no—
1135D4×C73—42no—
1136D4×C73—44no—
1137C2×C4×C73—22no—
1138C2×C4×C73—24no—
1139C2×C4×C73—24no—
1140C2×C4×C73—22no—
1141C2×C4×C73—22no—
1142C2×C4×C73—22no—
1143C2×C4×C73—24no—
1144C2×C4×C73—41no—
1145C2×C4×C73—41no—
1146C2×C4×C73—41no—
1147C2×C4×C73—41no—
1148C2×C4×C73—42no—
1149C2×C4×C73—44no—
1150C2×C4×C73—44no—
1151C2×C4×C73—44no—
1152C2×C4×C73—41no—
1153C2×C4×C73C2512yes—
1154C2×C4×C73C2511yescharacteristic
1155C2×C4×C73C2512yes—
1156C2×C4×C73C2512yes—
1157C2×C4×C73C2511yescharacteristic
1158C2×C4×C73C2511yescharacteristic
1159C2×C4×C73C2514yes—
1160C2×C4×C73C2514yes—
1161C2×C4×C73C2511yescharacteristic
1162C22⋊D73—28no—
1163C22⋊D73—28no—
1164C22⋊D73—24no—
1165C22⋊D73—24no—
1166C22⋊D73—28no—
1167C22⋊D73—24no—
1168C22⋊D73—28no—
1169C22⋊D73—24no—
1170C22⋊D73—28no—
1171C22⋊D73—24no—
1172C22⋊D73—44no—
1173C22⋊D73—44no—
1174C22⋊D73—44no—
1175C22⋊D73—44no—
1176C22⋊D73—44no—
1177C22⋊D73—44no—
1178C22⋊D73—44no—
1179C22⋊D73—44no—
1180C22⋊D73—44no—
1181C22⋊D73—44no—
1182C22⋊D73—44no—
1183C22⋊D73—44no—
1184C22⋊D73—42no—
1185C22⋊D73—44no—
1186C22⋊D73—42no—
1187C22⋊D73—42no—
1188C2×Dic73—24no—
1189C2×Dic73—22no—
1190C2×Dic73—22no—
1191C2×Dic73—22no—
1192C2×Dic73—22no—
1193C2×Dic73—28no—
1194C2×Dic73—41no—
1195C2×Dic73—41no—
1196C2×Dic73—41no—
1197C2×Dic73—41no—
1198C2×Dic73—42no—
1199C2×Dic73—44no—
1200C2×Dic73—42no—
1201C2×Dic73—44no—
1202C2×Dic73—41no—
1203C2×Dic73—44no—
1204C2×Dic73—44no—
1205C2×Dic73C2512yes—
1206C2×Dic73C2511yescharacteristic
1207C2×Dic73C2514yes—
1208C2×Dic73C2514yes—
1209C2×Dic73C2512yes—
1210C2×Dic73C2512yes—
1211C2×Dic73C2514yes—
1212C2×Dic73C2511yescharacteristic
1213C2×Dic73C2511yescharacteristic
1214C2×Dic73C2511yescharacteristic
1215D292—24no—
1216D292—24no—
1217D292—24no—
1218D292—42no—
1219D292—44no—
1220D292—44no—
1221D292—44no—
1222D292—42no—
1223D292—42no—
1224C4×D73—22no—
1225C4×D73—22no—
1226C4×D73—22no—
1227C4×D73—22no—
1228C4×D73—22no—
1229C4×D73—22no—
1230C4×D73—24no—
1231C4×D73—22no—
1232C4×D73—22no—
1233C4×D73—22no—
1234C4×D73—41no—
1235C4×D73—41no—
1236C4×D73—41no—
1237C4×D73—41no—
1238C4×D73—41no—
1239C4×D73—41no—
1240C4×D73—44no—
1241C4×D73—44no—
1242C4×D73—42no—
1243C4×D73—44no—
1244C4×D73—44no—
1245C4×D73—44no—
1246C4×D73—44no—
1247C4×D73H(5,𝔽2)14yescomplemented
1248Dic146—24no—
1249Dic146—24no—
1250Dic146—42no—
1251Dic146—42no—
1252Dic146—44no—
1253C22×C73—21no—
1254C22×C73—21no—
1255C22×C73—21no—
1256C22×C73—21no—
1257C22×C73—21no—
1258C22×C73—21no—
1259C22×C73—24no—
1260C22×C73—24no—
1261C22×C73—24no—
1262C22×C73—22no—
1263C22×C73—24no—
1264C22×C73—22no—
1265C22×C73—24no—
1266C22×C73—22no—
1267C22×C73—24no—
1268C22×C73—44no—
1269C22×C73—84no—
1270C22×C73—82no—
1271C22×C73—84no—
1272C22×C73—164no—
1273C22×C73C2×H(5,𝔽2)12yes—
1274C22×C73C2×H(5,𝔽2)12yes—
1275C22×C73C2×H(5,𝔽2)12yes—
1276C22×C73C2611yescharacteristic
1277C2×D73—28no—
1278C2×D73—21no—
1279C2×D73—21no—
1280C2×D73—21no—
1281C2×D73—21no—
1282C2×D73—21no—
1283C2×D73—21no—
1284C2×D73—22no—
1285C2×D73—22no—
1286C2×D73—24no—
1287C2×D73—24no—
1288C2×D73—21no—
1289C2×D73—21no—
1290C2×D73—24no—
1291C2×D73—22no—
1292C2×D73—21no—
1293C2×D73—21no—
1294C2×D73—44no—
1295C2×D73—44no—
1296C2×D73—44no—
1297C2×D73—44no—
1298C2×D73—44no—
1299C2×D73—88no—
1300C2×D73—88no—
1301C2×D73—82no—
1302C2×D73—84no—
1303C2×D73—164no—
1304C2×D73C2×H(5,𝔽2)12yes—
1305C2×D73#58512yes—
1306C4×C73—22no—
1307C4×C73—21no—
1308C4×C73—24no—
1309C4×C73—21no—
1310C4×C73—21no—
1311C4×C73—24no—
1312C4×C73—22no—
1313C4×C73—22no—
1314C4×C73C2×H(5,𝔽2)12yes—
1315Dic73—22no—
1316Dic73—24no—
1317Dic73—21no—
1318Dic73—22no—
1319Dic73—24no—
1320Dic73—21no—
1321Dic73—21no—
1322Dic73—24no—
1323Dic73—22no—
1324Dic73C2×H(5,𝔽2)12yes—
1325#62818—731nomaximal, Sylow
1326C2×C73—22no—
1327C2×C73—22no—
1328C2×C73—22no—
1329C2×C73—44no—
1330C2×C73—44no—
1331C2×C73—42no—
1332C2×C73C22×H(5,𝔽2)11yescharacteristic
1333C2×C73C22×H(5,𝔽2)11yescharacteristic
1334C2×C73C2×#58511yescharacteristic
1335D73—22no—
1336D73—22no—
1337D73—41no—
1338D73—41no—
1339D73—44no—
1340D73—42no—
1341#3542—732no—
1342#3542—734no—
1343#3542—732no—
1344#3537—732no—
1345#3537—732no—
1346#3536—732no—
1347#3536—732no—
1348#3534—734no—
1349#3534—732no—
1350#3534—732no—
1351#3519—734no—
1352#3519—732no—
1353#3519—732no—
1354#3505—732no—
1355#3505—731no—
1356#3505—731no—
1357#3496—732no—
1358#3496—731no—
1359#3496D7311yescharacteristic, complemented
1360#3494—732no—
1361#3494—732no—
1362#3492—732no—
1363#3490—734no—
1364#3488—732no—
1365#3488—732no—
1366#3484—732no—
1367#3484—732no—
1368#3484—732no—
1369C2×#525—731no—
1370C2×#525—731no—
1371C22×#121—731no—
1372C73#6281811yescharacteristic, complemented, Sylow
1373C2×H(5,𝔽2)—732no—
1374C2×H(5,𝔽2)—732no—
1375C2×H(5,𝔽2)C2×D7312yescomplemented
1376C22×#41—731no—
1377C22×#41—731no—
1378C23×D4—732no—
1379C23×D4—731no—
1380C24×C4—731no—
1381#562—734no—
1382#562—734no—
1383#562—734no—
1384#562—734no—
1385#560—734no—
1386#560—734no—
1387#560—734no—
1388#560—734no—
1389#555—732no—
1390#555—734no—
1391#555—732no—
1392#554—732no—
1393#554—734no—
1394#554—732no—
1395#553—734no—
1396#553—734no—
1397#553—732no—
1398#553—734no—
1399#553—734no—
1400#553—732no—
1401#553—734no—
1402#553—732no—
1403#553—732no—
1404#553—734no—
1405#553—732no—
1406#553—734no—
1407#553—732no—
1408#552—734no—
1409#552—732no—
1410#552—732no—
1411#551—734no—
1412#551—734no—
1413#551—734no—
1414#551—734no—
1415#551—734no—
1416#551—734no—
1417#551—734no—
1418#551—734no—
1419#550—732no—
1420#550—732no—
1421#550—734no—
1422#548—732no—
1423#548—734no—
1424#548—732no—
1425#547—734no—
1426#547—734no—
1427#547—732no—
1428#547—732no—
1429#547C2×D7312yescomplemented
1430#547C2×D7312yescomplemented
1431#546—734no—
1432#546—734no—
1433#546—734no—
1434#546—734no—
1435#546—734no—
1436#546—734no—
1437#546—732no—
1438#546—734no—
1439#546—732no—
1440#546—734no—
1441#546—734no—
1442#546—734no—
1443#546—734no—
1444#546—734no—
1445#546—734no—
1446#546—734no—
1447#546—734no—
1448#546—732no—
1449#546—734no—
1450#546—734no—
1451#546—734no—
1452#546—732no—
1453#546—732no—
1454#546—732no—
1455#546—734no—
1456#546—734no—
1457#546—734no—
1458#546C2×D7314yescomplemented
1459#546C2×D7314yescomplemented
1460D42—734no—
1461D42—734no—
1462D42—734no—
1463D42—734no—
1464D42—734no—
1465D42—732no—
1466D42—734no—
1467D42—732no—
1468D42—732no—
1469D42—732no—
1470D42—734no—
1471D42—734no—
1472D42—734no—
1473D42—734no—
1474D42—734no—
1475D42C2×D7312yescomplemented
1476D42C2×D7312yescomplemented
1477#544—732no—
1478#543—734no—
1479#542—732no—
1480#542—734no—
1481#542—732no—
1482#540—732no—
1483#540—734no—
1484#540—734no—
1485#540—734no—
1486#540—734no—
1487#540—732no—
1488#540—734no—
1489#539—734no—
1490#539—734no—
1491#539—734no—
1492#539—732no—
1493#539—732no—
1494#538—734no—
1495#538—734no—
1496#538—734no—
1497#538—734no—
1498#538—732no—
1499#538—734no—
1500#538—734no—
1501#538—734no—
1502#538—734no—
1503#538—732no—
1504#538—734no—
1505#537—734no—
1506#537—734no—
1507#537—732no—
1508#537—732no—
1509#537—732no—
1510#537—732no—
1511#537C2×D7312yescomplemented
1512#535—734no—
1513#535—732no—
1514#535—732no—
1515#535—732no—
1516#535—732no—
1517#535—734no—
1518#535—734no—
1519#534—732no—
1520#534—732no—
1521#534—732no—
1522#534—734no—
1523#534—734no—
1524#534—734no—
1525#534—734no—
1526#534—732no—
1527#534—734no—
1528#534—734no—
1529#534C2×D7312yescomplemented
1530#534C2×D7312yescomplemented
1531#532—734no—
1532#532—732no—
1533#532C2×D7312yescomplemented
1534#529—734no—
1535#529—732no—
1536#529—732no—
1537#525—734no—
1538#525—732no—
1539#525—734no—
1540#525—732no—
1541#525—732no—
1542#525—732no—
1543#525—732no—
1544#525—732no—
1545#525—732no—
1546#525—732no—
1547#525—732no—
1548#525—732no—
1549#525—734no—
1550#525—732no—
1551#525—732no—
1552#525—732no—
1553#525—732no—
1554#525—732no—
1555#525—732no—
1556#525—732no—
1557#525—732no—
1558C2×#123—731no—
1559C2×#123—732no—
1560C2×#123—731no—
1561C2×C22⋊Q8—731no—
1562C2×C22⋊Q8—731no—
1563C2×C22⋊Q8—731no—
1564C2×C22⋊Q8—731no—
1565C2×#121—732no—
1566C2×#121—731no—
1567C2×#121—731no—
1568C2×#121—731no—
1569C2×#121—734no—
1570C2×#121—731no—
1571C2×#121—732no—
1572C2×#121—732no—
1573C2×#121—732no—
1574C2×#121—732no—
1575C2×#121—732no—
1576C2×#121—732no—
1577C2×#121—732no—
1578C2×#121—732no—
1579C2×#121—732no—
1580C2×#121—731no—
1581C2×#121—732no—
1582C2×#121—731no—
1583C2×#121C2×D7311yescharacteristic, complemented
1584C2×#121C2×D7311yescharacteristic, complemented
1585C2×#121C2×D7312yescomplemented
1586C2×#120—732no—
1587C2×#120—731no—
1588C2×#120—734no—
1589C2×#120—734no—
1590C2×#120—731no—
1591#520—732no—
1592#520—732no—
1593#518—732no—
1594#518—732no—
1595#518—734no—
1596#518—732no—
1597#518—734no—
1598C2×C4×D4—732no—
1599C2×C4×D4—731no—
1600C2×C4×D4—731no—
1601C2×C4×D4—732no—
1602C2×C4×D4—731no—
1603C2×C4×D4C2×D7311yescharacteristic, complemented
1604C2×#117—731no—
1605C2×#117—731no—
1606C22×C4⋊C4—731no—
1607C22×C22⋊C4—732no—
1608C25—732no—
1609C25—731no—
1610H(5,𝔽2)—48no—
1611H(5,𝔽2)—2928no—
1612H(5,𝔽2)—2928no—
1613C2×#41—2924no—
1614C2×#41—2924no—
1615C2×#41—732no—
1616C2×#41—732no—
1617C2×#41—732no—
1618C2×#41—734no—
1619C2×#41—732no—
1620C2×#41—734no—
1621C2×#41—734no—
1622C2×#41—732no—
1623C2×#41—732no—
1624C2×#41—732no—
1625C2×#41—732no—
1626C2×#41—732no—
1627C2×#41—734no—
1628C2×#41—732no—
1629C2×#41C22×D7314yes—
1630C2×#41C22×D7314yescomplemented
1631C2×#41C22×D7314yescomplemented
1632C22×Q8—731no—
1633C22×Q8—731no—
1634C22×D4—2928no—
1635C22×D4—2924no—
1636C22×D4—731no—
1637C22×D4—732no—
1638C22×D4—734no—
1639C22×D4—731no—
1640C22×D4—732no—
1641C22×D4—734no—
1642C22×D4—732no—
1643C22×D4—731no—
1644C22×D4—732no—
1645C22×D4—734no—
1646C22×D4—734no—
1647C22×D4—734no—
1648C22×D4—734no—
1649C22×D4—734no—
1650C22×D4—732no—
1651C22×D4—734no—
1652C22×D4—734no—
1653C22×D4—734no—
1654C22×D4—734no—
1655C22×D4—732no—
1656C22×D4—732no—
1657C22×D4—734no—
1658C22×D4—732no—
1659C22×D4—731no—
1660C22×D4—732no—
1661C22×D4—732no—
1662C22×D4—731no—
1663C22×D4—731no—
1664C22×D4—732no—
1665C22×D4—731no—
1666C22×D4C22×D7312yes—
1667C22×D4C22×D7311yescharacteristic
1668C22×D4C22×D7312yes—
1669C22×D4C22×D7314yes—
1670C22×D4C22×D7311yescharacteristic
1671C22×D4C22×D7311yescharacteristic, complemented
1672C22×D4C22×D7314yescomplemented
1673C22×D4C22×D7314yescomplemented
1674C22×D4C22×D7312yescomplemented
1675C23×C4—2924no—
1676C23×C4—731no—
1677C23×C4—732no—
1678C23×C4—731no—
1679C23×C4—732no—
1680C23×C4—731no—
1681C23×C4—731no—
1682C23×C4—731no—
1683C23×C4—731no—
1684C23×C4—731no—
1685C23×C4—731no—
1686C23×C4—731no—
1687C23×C4—731no—
1688C23×C4—731no—
1689C23×C4—731no—
1690C23×C4—731no—
1691C23×C4—731no—
1692C23×C4C22×D7311yescharacteristic
1693C23×C4C22×D7311yescharacteristic, complemented
1694C4⋊Q8—734no—
1695C4⋊Q8—732no—
1696C4⋊Q8C22×D7312yescomplemented
1697#127—732no—
1698#127—734no—
1699#127—734no—
1700#127—734no—
1701#127—734no—
1702#127—734no—
1703#127C22×D7312yescomplemented
1704#126—734no—
1705#126—734no—
1706#126—734no—
1707#126—734no—
1708#126—734no—
1709#126—734no—
1710#126—734no—
1711#126—734no—
1712#126—734no—
1713#126—734no—
1714#126—734no—
1715#126—734no—
1716#125—734no—
1717#125—732no—
1718#125—734no—
1719#125—734no—
1720#125—734no—
1721#125—734no—
1722#125—732no—
1723#124—734no—
1724#124—734no—
1725#124—734no—
1726#124—732no—
1727#124—734no—
1728#124—734no—
1729#124—734no—
1730#124—734no—
1731#124—734no—
1732#124—734no—
1733#124—734no—
1734#124—734no—
1735#124—734no—
1736#124—732no—
1737#124C22×D7314yescomplemented
1738#123—734no—
1739#123—734no—
1740#123—734no—
1741#123—734no—
1742#123—734no—
1743#123—734no—
1744#123—734no—
1745#123—734no—
1746#123—734no—
1747#123—734no—
1748#123—734no—
1749#123—734no—
1750#123—734no—
1751#123—734no—
1752#123—734no—
1753#123—734no—
1754#123—732no—
1755#123—732no—
1756#123—732no—
1757#123—732no—
1758#123—734no—
1759#123—734no—
1760#123—734no—
1761#123—734no—
1762#123—732no—
1763#123—734no—
1764#123—732no—
1765#123—734no—
1766#123—732no—
1767#123—734no—
1768#123—732no—
1769#123—734no—
1770#123—734no—
1771#123—734no—
1772#123—734no—
1773#123—734no—
1774#123—734no—
1775#123—734no—
1776#123—734no—
1777#123—734no—
1778#123C22×D7314yes—
1779#123C22×D7314yescomplemented
1780#123C22×D7314yescomplemented
1781#123C22×D7314yescomplemented
1782C22⋊Q8—734no—
1783C22⋊Q8—734no—
1784C22⋊Q8—734no—
1785C22⋊Q8—734no—
1786C22⋊Q8—732no—
1787C22⋊Q8—732no—
1788C22⋊Q8—732no—
1789C22⋊Q8—732no—
1790C22⋊Q8—732no—
1791C22⋊Q8—734no—
1792C22⋊Q8—734no—
1793C22⋊Q8—732no—
1794C22⋊Q8—732no—
1795C22⋊Q8—732no—
1796C22⋊Q8—732no—
1797C22⋊Q8—732no—
1798C22⋊Q8—732no—
1799C22⋊Q8—732no—
1800C22⋊Q8—732no—
1801C22⋊Q8—732no—
1802C22⋊Q8—734no—
1803C22⋊Q8—734no—
1804C22⋊Q8—734no—
1805C22⋊Q8—734no—
1806C22⋊Q8—734no—
1807C22⋊Q8—732no—
1808C22⋊Q8—732no—
1809C22⋊Q8—732no—
1810C22⋊Q8—732no—
1811C22⋊Q8—734no—
1812C22⋊Q8—734no—
1813C22⋊Q8—734no—
1814C22⋊Q8—734no—
1815C22⋊Q8C22×D7314yescomplemented
1816C22⋊Q8C22×D7314yescomplemented
1817#121—734no—
1818#121—732no—
1819#121—734no—
1820#121—732no—
1821#121—732no—
1822#121—734no—
1823#121—734no—
1824#121—732no—
1825#121—732no—
1826#121—732no—
1827#121—732no—
1828#121—732no—
1829#121—732no—
1830#121—732no—
1831#121—732no—
1832#121—732no—
1833#121—734no—
1834#121—734no—
1835#121—734no—
1836#121—734no—
1837#121—732no—
1838#121—734no—
1839#121—734no—
1840#121—734no—
1841#121—734no—
1842#121—732no—
1843#121—734no—
1844#121—734no—
1845#121—734no—
1846#121—734no—
1847#121—734no—
1848#121—734no—
1849#121—734no—
1850#121—734no—
1851#121—734no—
1852#121—734no—
1853#121—734no—
1854#121—734no—
1855#121—734no—
1856#121—734no—
1857#121—734no—
1858#121—734no—
1859#121—734no—
1860#121—732no—
1861#121—732no—
1862#121—732no—
1863#121—732no—
1864#121—732no—
1865#121—734no—
1866#121—734no—
1867#121—734no—
1868#121—734no—
1869#121—734no—
1870#121—734no—
1871#121—732no—
1872#121—732no—
1873#121—732no—
1874#121—732no—
1875#121—732no—
1876#121—734no—
1877#121—734no—
1878#121—734no—
1879#121—734no—
1880#121—734no—
1881#121—734no—
1882#121—732no—
1883#121—732no—
1884#121—732no—
1885#121—732no—
1886#121—734no—
1887#121—734no—
1888#121—734no—
1889#121—734no—
1890#121—734no—
1891#121—734no—
1892#121—734no—
1893#121—734no—
1894#121—734no—
1895#121C22×D7312yes—
1896#121C22×D7312yes—
1897#121C22×D7312yes—
1898#121C22×D7312yes—
1899#121C22×D7312yes—
1900#121C22×D7312yes—
1901#121C22×D7312yescomplemented
1902#121C22×D7312yescomplemented
1903#121C22×D7314yescomplemented
1904#121C22×D7312yescomplemented
1905#121C22×D7312yescomplemented
1906#121C22×D7314yescomplemented
1907#121C22×D7314yescomplemented
1908#121C22×D7314yescomplemented
1909#121C22×D7314yescomplemented
1910#120—734no—
1911#120—734no—
1912#120—734no—
1913#120—734no—
1914#120—734no—
1915#120—734no—
1916#120—734no—
1917#120—734no—
1918#120—732no—
1919#120—734no—
1920#120—732no—
1921#120—734no—
1922#120—732no—
1923#120—734no—
1924#120—732no—
1925#120—734no—
1926#120—734no—
1927#120—734no—
1928#120—734no—
1929#120—734no—
1930#120—734no—
1931#120—734no—
1932#120—734no—
1933#120—734no—
1934#120—734no—
1935#120—734no—
1936#120—734no—
1937#120—732no—
1938#120—732no—
1939#120—732no—
1940#120—732no—
1941#120—734no—
1942#120—734no—
1943#120—734no—
1944#120—734no—
1945#120—734no—
1946#120C22×D7314yes—
1947#120C22×D7314yescomplemented
1948#120C22×D7314yescomplemented
1949#120C22×D7314yescomplemented
1950C4×Q8—734no—
1951C4×Q8—732no—
1952C4×Q8—732no—
1953C4×D4—734no—
1954C4×D4—734no—
1955C4×D4—734no—
1956C4×D4—734no—
1957C4×D4—734no—
1958C4×D4—734no—
1959C4×D4—734no—
1960C4×D4—734no—
1961C4×D4—734no—
1962C4×D4—732no—
1963C4×D4—732no—
1964C4×D4—732no—
1965C4×D4—732no—
1966C4×D4—732no—
1967C4×D4—732no—
1968C4×D4—732no—
1969C4×D4—732no—
1970C4×D4—732no—
1971C4×D4—732no—
1972C4×D4—734no—
1973C4×D4—734no—
1974C4×D4—734no—
1975C4×D4—734no—
1976C4×D4—734no—
1977C4×D4—734no—
1978C4×D4—734no—
1979C4×D4—734no—
1980C4×D4—734no—
1981C4×D4—734no—
1982C4×D4—734no—
1983C4×D4—734no—
1984C4×D4—732no—
1985C4×D4—734no—
1986C4×D4—734no—
1987C4×D4—734no—
1988C4×D4—734no—
1989C4×D4—734no—
1990C4×D4—734no—
1991C4×D4—734no—
1992C4×D4—734no—
1993C4×D4—734no—
1994C4×D4—734no—
1995C4×D4—734no—
1996C4×D4—734no—
1997C4×D4—734no—
1998C4×D4—732no—
1999C4×D4—732no—
2000C4×D4—732no—
2001C4×D4—732no—
2002C4×D4—732no—
2003C4×D4C22×D7312yes—
2004C4×D4C22×D7312yes—
2005C4×D4C22×D7312yescomplemented
2006C4×D4C22×D7312yescomplemented
2007C4×D4C22×D7314yescomplemented
2008C4×D4C22×D7312yescomplemented
2009C4×D4C22×D7312yescomplemented
2010#117—734no—
2011#117—732no—
2012#117—732no—
2013#117—732no—
2014#117—732no—
2015#117—732no—
2016#117—734no—
2017#117—732no—
2018#117—734no—
2019#117—734no—
2020#117—734no—
2021#117—734no—
2022#117—732no—
2023#117—732no—
2024#117—732no—
2025#117—732no—
2026#117—734no—
2027C2×C4⋊C4—732no—
2028C2×C4⋊C4—731no—
2029C2×C4⋊C4—731no—
2030C2×C4⋊C4—731no—
2031C2×C4⋊C4—731no—
2032C2×C4⋊C4—731no—
2033C2×C4⋊C4—732no—
2034C2×C4⋊C4—731no—
2035C2×C4⋊C4—732no—
2036C2×C4⋊C4—731no—
2037C2×C4⋊C4—734no—
2038C2×C4⋊C4—732no—
2039C2×C4⋊C4—732no—
2040C2×C4⋊C4—732no—
2041C2×C4⋊C4—732no—
2042C2×C4⋊C4—732no—
2043C2×C4⋊C4C22×D7311yescharacteristic
2044C2×C4⋊C4C22×D7311yescharacteristic, complemented
2045C2×C4⋊C4C22×D7311yescharacteristic, complemented
2046C2×C4⋊C4C22×D7312yescomplemented
2047C2×C22⋊C4—732no—
2048C2×C22⋊C4—732no—
2049C2×C22⋊C4—731no—
2050C2×C22⋊C4—732no—
2051C2×C22⋊C4—731no—
2052C2×C22⋊C4—734no—
2053C2×C22⋊C4—734no—
2054C2×C22⋊C4—732no—
2055C2×C22⋊C4—732no—
2056C2×C22⋊C4—732no—
2057C2×C22⋊C4—731no—
2058C2×C22⋊C4—731no—
2059C2×C22⋊C4—732no—
2060C2×C22⋊C4—731no—
2061C2×C22⋊C4—731no—
2062C2×C22⋊C4—731no—
2063C2×C22⋊C4—731no—
2064C2×C22⋊C4—734no—
2065C2×C22⋊C4—734no—
2066C2×C22⋊C4—734no—
2067C2×C22⋊C4—734no—
2068C2×C22⋊C4—734no—
2069C2×C22⋊C4—734no—
2070C2×C22⋊C4—734no—
2071C2×C22⋊C4—734no—
2072C2×C22⋊C4—734no—
2073C2×C22⋊C4—734no—
2074C2×C22⋊C4—734no—
2075C2×C22⋊C4C22×D7312yes—
2076C2×C22⋊C4C22×D7311yescharacteristic
2077C2×C22⋊C4C22×D7312yescomplemented
2078C2×C22⋊C4C22×D7311yescharacteristic, complemented
2079C2×C22⋊C4C22×D7314yescomplemented
2080C2×C42—732no—
2081C2×C42—731no—
2082C2×C42C22×D7311yescharacteristic, complemented
2083C24—2924no—
2084C24—2922no—
2085C24—2922no—
2086C24—2924no—
2087C24—2924no—
2088C24—734no—
2089C24—734no—
2090C24—734no—
2091C24—732no—
2092C24—731no—
2093C24—731no—
2094C24—731no—
2095C24—731no—
2096C24—731no—
2097C24—731no—
2098C24—731no—
2099C24—1464no—
2100C24C23×D7312yes—
2101C24C23×D7311yescharacteristic
2102C24C23×D7312yes—
2103C24C23×D7314yes—
2104C24C23×D7311yescharacteristic
2105#41—48no—
2106#41—48no—
2107#41—48no—
2108#41—2924no—
2109#41—2928no—
2110#41—2924no—
2111#41—2924no—
2112#41—2924no—
2113#41—2924no—
2114#41—2924no—
2115#41—2928no—
2116#41—2928no—
2117#41—2928no—
2118#41—2924no—
2119#41—2924no—
2120#41—1468no—
2121#41—1468no—
2122C2×Q8—2922no—
2123C2×Q8—2922no—
2124C2×Q8—732no—
2125C2×Q8—732no—
2126C2×Q8—734no—
2127C2×Q8—732no—
2128C2×Q8—732no—
2129C2×Q8C23×D7314yes—
2130C2×D4—28no—
2131C2×D4—24no—
2132C2×D4—28no—
2133C2×D4—42no—
2134C2×D4—42no—
2135C2×D4—44no—
2136C2×D4—48no—
2137C2×D4—48no—
2138C2×D4—48no—
2139C2×D4—2924no—
2140C2×D4—2922no—
2141C2×D4—2922no—
2142C2×D4—2922no—
2143C2×D4—2928no—
2144C2×D4—2928no—
2145C2×D4—2928no—
2146C2×D4—2928no—
2147C2×D4—2928no—
2148C2×D4—2928no—
2149C2×D4—2928no—
2150C2×D4—2928no—
2151C2×D4—2928no—
2152C2×D4—2922no—
2153C2×D4—2924no—
2154C2×D4—2928no—
2155C2×D4—2922no—
2156C2×D4—2924no—
2157C2×D4—2928no—
2158C2×D4—2924no—
2159C2×D4—2924no—
2160C2×D4—2924no—
2161C2×D4—2924no—
2162C2×D4—2924no—
2163C2×D4—2924no—
2164C2×D4—2922no—
2165C2×D4—2928no—
2166C2×D4—734no—
2167C2×D4—734no—
2168C2×D4—734no—
2169C2×D4—732no—
2170C2×D4—734no—
2171C2×D4—732no—
2172C2×D4—732no—
2173C2×D4—734no—
2174C2×D4—734no—
2175C2×D4—734no—
2176C2×D4—734no—
2177C2×D4—734no—
2178C2×D4—734no—
2179C2×D4—734no—
2180C2×D4—734no—
2181C2×D4—734no—
2182C2×D4—732no—
2183C2×D4—734no—
2184C2×D4—732no—
2185C2×D4—734no—
2186C2×D4—732no—
2187C2×D4—732no—
2188C2×D4—734no—
2189C2×D4—734no—
2190C2×D4—734no—
2191C2×D4—732no—
2192C2×D4—732no—
2193C2×D4—732no—
2194C2×D4—734no—
2195C2×D4—732no—
2196C2×D4—734no—
2197C2×D4—734no—
2198C2×D4—732no—
2199C2×D4—732no—
2200C2×D4—732no—
2201C2×D4—1468no—
2202C2×D4—1468no—
2203C2×D4—1464no—
2204C2×D4C23×D7314yes—
2205C2×D4C23×D7314yes—
2206C2×D4C23×D7314yes—
2207C2×D4C23×D7314yes—
2208C2×D4C23×D7312yes—
2209C2×D4C23×D7312yes—
2210C2×D4C23×D7312yes—
2211C2×D4C23×D7312yes—
2212C2×D4C23×D7314yes—
2213C2×D4C23×D7314yes—
2214C2×D4C23×D7312yes—
2215C2×D4C23×D7314yes—
2216C2×D4C23×D7314yes—
2217C2×D4C23×D7314yes—
2218C2×D4C23×D7312yes—
2219C22×C4—42no—
2220C22×C4—42no—
2221C22×C4—2924no—
2222C22×C4—2922no—
2223C22×C4—2922no—
2224C22×C4—2922no—
2225C22×C4—2922no—
2226C22×C4—2922no—
2227C22×C4—2922no—
2228C22×C4—2922no—
2229C22×C4—2922no—
2230C22×C4—2922no—
2231C22×C4—2922no—
2232C22×C4—2922no—
2233C22×C4—2924no—
2234C22×C4—731no—
2235C22×C4—732no—
2236C22×C4—731no—
2237C22×C4—731no—
2238C22×C4—731no—
2239C22×C4—732no—
2240C22×C4—731no—
2241C22×C4—734no—
2242C22×C4—734no—
2243C22×C4—734no—
2244C22×C4—734no—
2245C22×C4—731no—
2246C22×C4—731no—
2247C22×C4—734no—
2248C22×C4—734no—
2249C22×C4—734no—
2250C22×C4—732no—
2251C22×C4—734no—
2252C22×C4—734no—
2253C22×C4—734no—
2254C22×C4—731no—
2255C22×C4—731no—
2256C22×C4—731no—
2257C22×C4—731no—
2258C22×C4—731no—
2259C22×C4—731no—
2260C22×C4—731no—
2261C22×C4—732no—
2262C22×C4—731no—
2263C22×C4—731no—
2264C22×C4—734no—
2265C22×C4—731no—
2266C22×C4—731no—
2267C22×C4—731no—
2268C22×C4—731no—
2269C22×C4—731no—
2270C22×C4—732no—
2271C22×C4—731no—
2272C22×C4—731no—
2273C22×C4—731no—
2274C22×C4—731no—
2275C22×C4—1464no—
2276C22×C4—1464no—
2277C22×C4—1464no—
2278C22×C4C23×D7311yescharacteristic
2279C22×C4C23×D7312yes—
2280C22×C4C23×D7311yescharacteristic
2281C22×C4C23×D7312yes—
2282C22×C4C23×D7311yescharacteristic
2283C22×C4C23×D7311yescharacteristic
2284C22×C4C23×D7312yes—
2285C22×C4C23×D7311yescharacteristic
2286C22×C4C23×D7311yescharacteristic
2287C22×C4C23×D7314yes—
2288C22×C4C23×D7311yescharacteristic
2289C22×C4C23×D7311yescharacteristic
2290C22×C4C23×D7314yes—
2291C22×C4C23×D7311yescharacteristic
2292C22×C4C23×D7312yes—
2293C22×C4C23×D7314yes—
2294C4⋊C4—734no—
2295C4⋊C4—732no—
2296C4⋊C4—734no—
2297C4⋊C4—732no—
2298C4⋊C4—732no—
2299C4⋊C4—734no—
2300C4⋊C4—732no—
2301C4⋊C4—732no—
2302C4⋊C4—732no—
2303C4⋊C4—732no—
2304C4⋊C4—734no—
2305C4⋊C4—732no—
2306C4⋊C4—734no—
2307C4⋊C4—734no—
2308C4⋊C4—734no—
2309C4⋊C4—734no—
2310C4⋊C4—734no—
2311C4⋊C4—734no—
2312C4⋊C4—734no—
2313C4⋊C4—734no—
2314C4⋊C4—732no—
2315C4⋊C4—732no—
2316C4⋊C4—732no—
2317C4⋊C4—732no—
2318C4⋊C4—732no—
2319C4⋊C4—734no—
2320C4⋊C4—734no—
2321C4⋊C4—732no—
2322C4⋊C4—734no—
2323C4⋊C4—734no—
2324C4⋊C4C23×D7312yes—
2325C4⋊C4C23×D7312yes—
2326C4⋊C4C23×D7312yes—
2327C4⋊C4C23×D7312yes—
2328C4⋊C4C23×D7314yes—
2329C4⋊C4C23×D7312yes—
2330C4⋊C4C23×D7312yes—
2331C4⋊C4C23×D7314yes—
2332C22⋊C4—734no—
2333C22⋊C4—734no—
2334C22⋊C4—732no—
2335C22⋊C4—732no—
2336C22⋊C4—734no—
2337C22⋊C4—734no—
2338C22⋊C4—734no—
2339C22⋊C4—732no—
2340C22⋊C4—734no—
2341C22⋊C4—734no—
2342C22⋊C4—734no—
2343C22⋊C4—734no—
2344C22⋊C4—734no—
2345C22⋊C4—732no—
2346C22⋊C4—734no—
2347C22⋊C4—734no—
2348C22⋊C4—734no—
2349C22⋊C4—734no—
2350C22⋊C4—734no—
2351C22⋊C4—734no—
2352C22⋊C4—734no—
2353C22⋊C4—732no—
2354C22⋊C4—732no—
2355C22⋊C4—734no—
2356C22⋊C4—732no—
2357C22⋊C4—732no—
2358C22⋊C4—732no—
2359C22⋊C4—734no—
2360C22⋊C4—734no—
2361C22⋊C4—734no—
2362C22⋊C4—734no—
2363C22⋊C4—734no—
2364C22⋊C4—732no—
2365C22⋊C4—732no—
2366C22⋊C4—734no—
2367C22⋊C4—734no—
2368C22⋊C4—734no—
2369C22⋊C4—734no—
2370C22⋊C4—734no—
2371C22⋊C4—732no—
2372C22⋊C4—734no—
2373C22⋊C4—732no—
2374C22⋊C4—732no—
2375C22⋊C4—732no—
2376C22⋊C4—732no—
2377C22⋊C4—734no—
2378C22⋊C4C23×D7314yes—
2379C22⋊C4C23×D7312yes—
2380C22⋊C4C23×D7314yes—
2381C22⋊C4C23×D7314yes—
2382C22⋊C4C23×D7314yes—
2383C22⋊C4C23×D7314yes—
2384C22⋊C4C23×D7312yes—
2385C22⋊C4C23×D7314yes—
2386C22⋊C4C23×D7314yes—
2387C22⋊C4C23×D7312yes—
2388C22⋊C4C23×D7312yes—
2389C22⋊C4C23×D7314yes—
2390C42—734no—
2391C42—732no—
2392C42—734no—
2393C42—732no—
2394C42—734no—
2395C42—734no—
2396C42—734no—
2397C42—734no—
2398C42C23×D7312yes—
2399C42C23×D7312yes—
2400C23—22no—
2401C23—24no—
2402C23—24no—
2403C23—41no—
2404C23—41no—
2405C23—41no—
2406C23—42no—
2407C23—42no—
2408C23—41no—
2409C23—42no—
2410C23—42no—
2411C23—44no—
2412C23—44no—
2413C23—44no—
2414C23—2921no—
2415C23—2921no—
2416C23—2921no—
2417C23—2921no—
2418C23—2921no—
2419C23—2921no—
2420C23—2921no—
2421C23—2922no—
2422C23—2924no—
2423C23—2924no—
2424C23—2924no—
2425C23—2921no—
2426C23—2922no—
2427C23—2924no—
2428C23—2924no—
2429C23—2924no—
2430C23—2924no—
2431C23—29216no—
2432C23—58416no—
2433C23—731no—
2434C23—731no—
2435C23—734no—
2436C23—731no—
2437C23—731no—
2438C23—732no—
2439C23—1462no—
2440C23—1462no—
2441C23—1462no—
2442C23—1462no—
2443C23—1468no—
2444C23—1468no—
2445C23—1462no—
2446C23—1462no—
2447C23—1462no—
2448C23—1462no—
2449C23—1462no—
2450C23—1462no—
2451C23—1462no—
2452C23—1462no—
2453C23—1464no—
2454C23—1462no—
2455C23#1455663614yescomplemented
2456C23C24×D7314yes—
2457C23C24×D7312yes—
2458C23C24×D7314yes—
2459C23C24×D7311yescharacteristic
2460C23C24×D7311yescharacteristic
2461C23C24×D7311yescharacteristic
2462Q8—44no—
2463Q8—2922no—
2464Q8—2922no—
2465Q8—2924no—
2466Q8—1464no—
2467Q8—1464no—
2468D4—24no—
2469D4—24no—
2470D4—28no—
2471D4—28no—
2472D4—28no—
2473D4—28no—
2474D4—24no—
2475D4—24no—
2476D4—44no—
2477D4—44no—
2478D4—44no—
2479D4—42no—
2480D4—44no—
2481D4—42no—
2482D4—44no—
2483D4—2922no—
2484D4—2924no—
2485D4—2924no—
2486D4—2924no—
2487D4—2922no—
2488D4—2922no—
2489D4—2924no—
2490D4—2924no—
2491D4—2924no—
2492D4—2924no—
2493D4—2924no—
2494D4—2924no—
2495D4—2924no—
2496D4—2924no—
2497D4—2922no—
2498D4—2922no—
2499D4—2924no—
2500D4—2924no—
2501D4—2924no—
2502D4—2924no—
2503D4—2924no—
2504D4—2922no—
2505D4—1464no—
2506D4—1464no—
2507D4—1468no—
2508D4—1464no—
2509D4—1464no—
2510D4—1468no—
2511D4—1468no—
2512D4—1464no—
2513D4—1468no—
2514D4—1468no—
2515D4—1464no—
2516D4—1464no—
2517D4—1464no—
2518C2×C4—24no—
2519C2×C4—22no—
2520C2×C4—24no—
2521C2×C4—22no—
2522C2×C4—22no—
2523C2×C4—22no—
2524C2×C4—24no—
2525C2×C4—41no—
2526C2×C4—41no—
2527C2×C4—41no—
2528C2×C4—41no—
2529C2×C4—42no—
2530C2×C4—44no—
2531C2×C4—44no—
2532C2×C4—44no—
2533C2×C4—41no—
2534C2×C4—2921no—
2535C2×C4—2921no—
2536C2×C4—2921no—
2537C2×C4—2921no—
2538C2×C4—2921no—
2539C2×C4—2921no—
2540C2×C4—2924no—
2541C2×C4—2924no—
2542C2×C4—2922no—
2543C2×C4—2924no—
2544C2×C4—2924no—
2545C2×C4—2924no—
2546C2×C4—2924no—
2547C2×C4—2921no—
2548C2×C4—2921no—
2549C2×C4—2921no—
2550C2×C4—2921no—
2551C2×C4—2922no—
2552C2×C4—2924no—
2553C2×C4—2924no—
2554C2×C4—2924no—
2555C2×C4—2921no—
2556C2×C4—2922no—
2557C2×C4—2924no—
2558C2×C4—731no—
2559C2×C4—734no—
2560C2×C4—734no—
2561C2×C4—732no—
2562C2×C4—731no—
2563C2×C4—734no—
2564C2×C4—732no—
2565C2×C4—732no—
2566C2×C4—734no—
2567C2×C4—731no—
2568C2×C4—731no—
2569C2×C4—1462no—
2570C2×C4—1462no—
2571C2×C4—1462no—
2572C2×C4—1462no—
2573C2×C4—1462no—
2574C2×C4—1462no—
2575C2×C4—1462no—
2576C2×C4—1462no—
2577C2×C4—1462no—
2578C2×C4—1468no—
2579C2×C4—1464no—
2580C2×C4—1462no—
2581C2×C4—1462no—
2582C2×C4—1462no—
2583C2×C4—1462no—
2584C2×C4—1464no—
2585C2×C4C24×D7312yes—
2586C2×C4C24×D7311yescharacteristic
2587C2×C4C24×D7314yes—
2588C2×C4C24×D7312yes—
2589C2×C4C24×D7314yes—
2590C2×C4C24×D7312yes—
2591C2×C4C24×D7311yescharacteristic
2592C2×C4C24×D7311yescharacteristic
2593C2×C4C24×D7311yescharacteristic
2594C22—21no—
2595C22—21no—
2596C22—21no—
2597C22—21no—
2598C22—21no—
2599C22—21no—
2600C22—22no—
2601C22—24no—
2602C22—24no—
2603C22—22no—
2604C22—24no—
2605C22—24no—
2606C22—24no—
2607C22—24no—
2608C22—22no—
2609C22—44no—
2610C22—84no—
2611C22—84no—
2612C22—82no—
2613C22—164no—
2614C22—2924no—
2615C22—2924no—
2616C22—2924no—
2617C22—2924no—
2618C22—2924no—
2619C22—5844no—
2620C22—5842no—
2621C22—5848no—
2622C22—5848no—
2623C22—732no—
2624C22—732no—
2625C22—11684no—
2626C22—1468no—
2627C22—1461no—
2628C22—1461no—
2629C22—1462no—
2630C22—1464no—
2631C22—1462no—
2632C22—1464no—
2633C22—1461no—
2634C22—1461no—
2635C22—1464no—
2636C22—1461no—
2637C22—1461no—
2638C22—1462no—
2639C22—1461no—
2640C22—1461no—
2641C22—1461no—
2642C22—1461no—
2643C22C2×#1455663612yes—
2644C22C2×#1455663612yes—
2645C22C2×#1455663612yes—
2646C22C25×D7311yescharacteristic
2647C4—21no—
2648C4—21no—
2649C4—21no—
2650C4—22no—
2651C4—22no—
2652C4—24no—
2653C4—24no—
2654C4—22no—
2655C4—732no—
2656C4—1461no—
2657C4—1461no—
2658C4—1461no—
2659C4—1462no—
2660C4—1464no—
2661C4—1464no—
2662C4—1462no—
2663C4—1464no—
2664C4—1462no—
2665C4H(5,𝔽2)×D7312yes—
2666C2—22no—
2667C2—22no—
2668C2—22no—
2669C2—42no—
2670C2—44no—
2671C2—44no—
2672C2—2921no—
2673C2—2921no—
2674C2—2924no—
2675C2—2922no—
2676C2—1462no—
2677C2—1462no—
2678C2C2×H(5,𝔽2)×D7311yescharacteristic
2679C2C22×#1455663611yescharacteristic
2680C2#585×D7311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D73
commutator, socle, cosocleC22×C73C26
FittingC73×#3496C2
hypercenter#3496D73
hypocenterC73#62818
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ #3496

Complements

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

NH ≅ G/Ntype
1. #22624252C2semidirect
2. #22624248C2semidirect
3. #22624232C2semidirect
4. #22624168C2semidirect
5. #22624162C2semidirect
6. #22624154C2semidirect
7. #22624148C2semidirect
8. #22624118C2semidirect
9. #22624116C2semidirect
10. #22624110C2semidirect
11. #22623958C2semidirect
12. #22623957C2semidirect
13. #22623952C2semidirect
14. #22623770C2semidirect
15. #22623768C2semidirect
16. #22623765C2semidirect
17. #22623690C2semidirect
18. #22623688C2semidirect
19. #22623661C2semidirect
20. #22623655C2semidirect
21. #22623633C2semidirect
22. #22623613C2semidirect
23. #22623596C2semidirect
24. #22623591C2semidirect
25. #22623563C2semidirect
26. #22623562C2semidirect
27. #22623559C2semidirect
28. C2×#17989097C2semidirect
29. C2×#17989096C2semidirect
30. C2×#121×D73C2semidirect
31. C73×#3496C2semidirect
32. C2×#14556636C22semidirect
33. C2×#14556636C22semidirect
34. C22×#11924028C22semidirect
35. C22×#11924027C22semidirect
36. C22×D4×D73C22semidirect
37. C22×D4×D73C22semidirect
38. C23×C4×D73C22semidirect
39. #17989334C22semidirect
40. #17989333C22semidirect
41. #17989333C22semidirect
42. #17989332C22semidirect
43. #17989327C22semidirect
44. #17989326C22semidirect
45. #17989326C22semidirect
46. #17989325C22semidirect
47. #17989303C22semidirect
48. #17989301C22semidirect
49. #17989299C22semidirect
50. #17989298C22semidirect
51. #17989292C22semidirect
52. #17989291C22semidirect
53. #17989289C22semidirect
54. #17989289C22semidirect
55. #17989287C22semidirect
56. #17989287C22semidirect
57. #17989286C22semidirect
58. #17989286C22semidirect
59. #17989285C22semidirect
60. #17989284C22semidirect
61. #17989283C22semidirect
62. #17989282C22semidirect
63. #17989280C22semidirect
64. #17989280C22semidirect
65. #17989280C22semidirect
66. #17989277C22semidirect
67. #17989274C22semidirect
68. #17989272C22semidirect
69. #17989268C22semidirect
70. #17989267C22semidirect
71. #17989266C22semidirect
72. #17989266C22semidirect
73. #17989265C22semidirect
74. #17989264C22semidirect
75. #17989263C22semidirect
76. #17989260C22semidirect
77. #17989257C22semidirect
78. #17989255C22semidirect
79. #17989255C22semidirect
80. #17989246C22semidirect
81. #17989243C22semidirect
82. #17989243C22semidirect
83. #17989238C22semidirect
84. #17989237C22semidirect
85. #17989236C22semidirect
86. #17989236C22semidirect
87. #17989234C22semidirect
88. #17989234C22semidirect
89. #17989233C22semidirect
90. #17989232C22semidirect
91. #17989232C22semidirect
92. #17989231C22semidirect
93. #17989231C22semidirect
94. #17989231C22semidirect
95. #17989231C22semidirect
96. #17989229C22semidirect
97. #17989229C22semidirect
98. #17989227C22semidirect
99. #17989227C22semidirect
100. #17989227C22semidirect
101. #17989226C22semidirect
102. #17989226C22semidirect
103. #17989226C22semidirect
104. #17989226C22semidirect
105. #17989226C22semidirect
106. #17989225C22semidirect
107. #17989225C22semidirect
108. #17989225C22semidirect
109. #17989225C22semidirect
110. #17989225C22semidirect
111. #17989225C22semidirect
112. #17989224C22semidirect
113. #17989224C22semidirect
114. #17989222C22semidirect
115. #17989221C22semidirect
116. #17989221C22semidirect
117. #17989221C22semidirect
118. D4×C22⋊D73C22semidirect
119. D4×C22⋊D73C22semidirect
120. D4×C22⋊D73C22semidirect
121. D4×C22⋊D73C22semidirect
122. D4×C22⋊D73C22semidirect
123. D4×C22⋊D73C22semidirect
124. D4×C22⋊D73C22semidirect
125. D4×C22⋊D73C22semidirect
126. #17989219C22semidirect
127. #17989219C22semidirect
128. #17989219C22semidirect
129. #17989214C22semidirect
130. #17989212C22semidirect
131. #17989211C22semidirect
132. #17989207C22semidirect
133. #17989202C22semidirect
134. #17989191C22semidirect
135. #17989189C22semidirect
136. #17989189C22semidirect
137. #17989188C22semidirect
138. #17989188C22semidirect
139. #17989187C22semidirect
140. #17989187C22semidirect
141. #17989184C22semidirect
142. #17989183C22semidirect
143. #17989182C22semidirect
144. #17989181C22semidirect
145. #17989180C22semidirect
146. #17989177C22semidirect
147. #17989175C22semidirect
148. #17989175C22semidirect
149. #17989174C22semidirect
150. #17989173C22semidirect
151. #17989172C22semidirect
152. #17989172C22semidirect
153. #17989171C22semidirect
154. #17989171C22semidirect
155. #17989169C22semidirect
156. #17989169C22semidirect
157. #17989168C22semidirect
158. #17989166C22semidirect
159. #17989166C22semidirect
160. #17989165C22semidirect
161. #17989164C22semidirect
162. #17989164C22semidirect
163. #17989154C22semidirect
164. #17989153C22semidirect
165. #17989153C22semidirect
166. #17989152C22semidirect
167. #17989152C22semidirect
168. #17989151C22semidirect
169. #17989150C22semidirect
170. #17989148C22semidirect
171. #17989147C22semidirect
172. #17989147C22semidirect
173. #17989146C22semidirect
174. #17989146C22semidirect
175. #17989146C22semidirect
176. #17989146C22semidirect
177. #17989146C22semidirect
178. #17989145C22semidirect
179. #17989145C22semidirect
180. #17989133C22semidirect
181. #17989132C22semidirect
182. #17989121C22semidirect
183. #17989118C22semidirect
184. #17989114C22semidirect
185. #17989098C22semidirect
186. #17989097C22semidirect
187. #17989097C22semidirect
188. #17989097C22semidirect
189. #17989097C22semidirect
190. #17989097C22semidirect
191. #17989097C22semidirect
192. #17989097C22semidirect
193. #17989097C22semidirect
194. #17989097C22semidirect
195. #17989096C22semidirect
196. #17989096C22semidirect
197. #17989096C22semidirect
198. #17989096C22semidirect
199. #17989096C22semidirect
200. #17989096C22semidirect
201. #17989096C22semidirect
202. #17989096C22semidirect
203. #17989095C22semidirect
204. #17989094C22semidirect
205. #17989093C22semidirect
206. C2×#14556576C22semidirect
207. C2×#14556573C22semidirect
208. C2×#14556573C22semidirect
209. C2×#14556571C22semidirect
210. C2×#14556570C22semidirect
211. C2×#14556569C22semidirect
212. C2×#14556568C22semidirect
213. C2×#14556566C22semidirect
214. C2×#14556565C22semidirect
215. C2×#14556564C22semidirect
216. C2×#14556564C22semidirect
217. C2×#14556563C22semidirect
218. C2×#14556563C22semidirect
219. C2×#14556563C22semidirect
220. C2×#14556562C22semidirect
221. C2×#14556562C22semidirect
222. #121×D73C22semidirect
223. #121×D73C22semidirect
224. #121×D73C22semidirect
225. #121×D73C22semidirect
226. #121×D73C22semidirect
227. #121×D73C22semidirect
228. #121×D73C22semidirect
229. #121×D73C22semidirect
230. #121×D73C22semidirect
231. C2×#14556561C22semidirect
232. C2×#14556559C22semidirect
233. C2×#14556559C22semidirect
234. C2×#14556559C22semidirect
235. #120×D73C22semidirect
236. #17989068C22semidirect
237. #17989066C22semidirect
238. #17989062C22semidirect
239. #17989060C22semidirect
240. #17989060C22semidirect
241. #17989059C22semidirect
242. #17989059C22semidirect
243. C2×C4×D292C22semidirect
244. C2×D4×Dic73C22semidirect
245. C2×C4×C22⋊D73C22semidirect
246. C2×C4×C22⋊D73C22semidirect
247. C2×#14556551C22semidirect
248. C2×#14556549C22semidirect
249. C2×#14556548C22semidirect
250. C2×C4⋊C4×D73C22semidirect
251. C2×C22⋊C4×D73C22semidirect
252. C2×H(5,𝔽2)×C73C22semidirect
253. #547×C73C22semidirect
254. #547×C73C22semidirect
255. #546×C73C22semidirect
256. #546×C73C22semidirect
257. D42×C73C22semidirect
258. D42×C73C22semidirect
259. #537×C73C22semidirect
260. #534×C73C22semidirect
261. #534×C73C22semidirect
262. #532×C73C22semidirect
263. C2×#121×C73C22semidirect
264. C2×#121×C73C22semidirect
265. C2×#121×C73C22semidirect
266. C2×C4×D4×C73C22semidirect
274. C2×#11924028C23semidirect
275. C2×#11924028C23semidirect
276. C2×#11924028C23semidirect
277. C2×#11924028C23semidirect
282. C2×#11924027C23semidirect
283. C2×#11924027C23semidirect
284. C2×#11924027C23semidirect
285. C2×#11924027C23semidirect
286. C2×#11924027C23semidirect
287. C22×Dic146C23semidirect
288. C22×Dic146C23semidirect
303. C22×C22⋊D73C23semidirect
304. C22×C22⋊D73C23semidirect
305. C22×C22⋊D73C23semidirect
319. C2×D4×D73C23semidirect
320. C2×D4×D73C23semidirect
322. C23×Dic73C23semidirect
337. C22×C4×D73C23semidirect
338. #14556590C23semidirect
339. #14556589C23semidirect
340. #14556587C23semidirect
341. #14556587C23semidirect
342. #14556587C23semidirect
343. #14556587C23semidirect
344. #14556587C23semidirect
345. #14556587C23semidirect
346. #14556586C23semidirect
347. #14556586C23semidirect
348. #14556586C23semidirect
349. #14556586C23semidirect
350. #14556585C23semidirect
351. #14556584C23semidirect
352. #14556584C23semidirect
353. #14556584C23semidirect
354. #14556584C23semidirect
355. #14556584C23semidirect
356. #14556584C23semidirect
357. #14556584C23semidirect
358. #14556583C23semidirect
359. #14556582C23semidirect
360. #14556582C23semidirect
361. #14556581C23semidirect
362. #14556581C23semidirect
363. #14556581C23semidirect
364. #14556581C23semidirect
365. #14556580C23semidirect
366. #14556580C23semidirect
367. #14556580C23semidirect
368. #14556579C23semidirect
369. #14556578C23semidirect
370. #14556578C23semidirect
371. #14556578C23semidirect
372. #14556577C23semidirect
373. #14556577C23semidirect
374. #14556577C23semidirect
375. #14556577C23semidirect
376. #14556577C23semidirect
377. #14556577C23semidirect
378. #14556577C23semidirect
381. #14556576C23semidirect
382. #14556576C23semidirect
383. #14556576C23semidirect
384. #14556576C23semidirect
385. #14556576C23semidirect
386. #14556576C23semidirect
387. #14556575C23semidirect
388. #14556575C23semidirect
389. #14556575C23semidirect
391. #14556574C23semidirect
392. #14556574C23semidirect
393. #14556574C23semidirect
394. #14556574C23semidirect
395. #14556574C23semidirect
396. #14556574C23semidirect
397. #14556574C23semidirect
402. #14556573C23semidirect
403. #14556573C23semidirect
404. #14556573C23semidirect
405. #14556573C23semidirect
406. #14556573C23semidirect
407. #14556573C23semidirect
408. #14556573C23semidirect
409. #14556573C23semidirect
410. #14556573C23semidirect
413. #14556572C23semidirect
414. #14556572C23semidirect
415. #14556572C23semidirect
416. #14556572C23semidirect
417. #14556572C23semidirect
418. #14556572C23semidirect
421. #14556571C23semidirect
422. #14556571C23semidirect
423. #14556571C23semidirect
424. #14556571C23semidirect
427. #14556570C23semidirect
428. #14556570C23semidirect
429. #14556570C23semidirect
430. #14556570C23semidirect
431. #14556570C23semidirect
436. #14556569C23semidirect
437. #14556569C23semidirect
438. #14556569C23semidirect
439. #14556569C23semidirect
442. #14556568C23semidirect
443. #14556568C23semidirect
444. #14556568C23semidirect
445. #14556568C23semidirect
446. #14556568C23semidirect
447. #14556568C23semidirect
450. #14556567C23semidirect
451. #14556567C23semidirect
456. #14556566C23semidirect
457. #14556566C23semidirect
458. #14556566C23semidirect
463. #14556565C23semidirect
464. #14556565C23semidirect
465. #14556565C23semidirect
466. #14556565C23semidirect
467. #14556565C23semidirect
468. #14556565C23semidirect
469. #14556565C23semidirect
478. #14556564C23semidirect
479. #14556564C23semidirect
480. #14556564C23semidirect
481. #14556564C23semidirect
482. #14556564C23semidirect
483. #14556564C23semidirect
484. #14556564C23semidirect
485. #14556564C23semidirect
486. #14556564C23semidirect
493. #14556563C23semidirect
494. #14556563C23semidirect
495. #14556563C23semidirect
496. #14556563C23semidirect
497. #14556563C23semidirect
498. #14556563C23semidirect
499. #14556563C23semidirect
500. #14556563C23semidirect
501. #14556563C23semidirect
502. #14556563C23semidirect
503. #14556563C23semidirect
504. #14556563C23semidirect
505. #14556563C23semidirect
506. #14556563C23semidirect
507. #14556563C23semidirect
508. #14556563C23semidirect
509. #14556563C23semidirect
510. #14556563C23semidirect
511. #14556563C23semidirect
512. #14556563C23semidirect
513. #14556563C23semidirect
514. #14556563C23semidirect
523. #14556562C23semidirect
524. #14556562C23semidirect
525. #14556562C23semidirect
526. #14556562C23semidirect
527. #14556562C23semidirect
528. #14556562C23semidirect
529. #14556562C23semidirect
536. #14556561C23semidirect
537. #14556561C23semidirect
538. #14556561C23semidirect
540. #14556560C23semidirect
541. #14556560C23semidirect
542. #14556560C23semidirect
543. #14556560C23semidirect
544. #14556560C23semidirect
545. #14556560C23semidirect
562. #14556559C23semidirect
563. #14556559C23semidirect
564. #14556559C23semidirect
565. #14556559C23semidirect
566. C4×Dic146C23semidirect
567. #14556556C23semidirect
568. #14556556C23semidirect
571. C4×D292C23semidirect
572. C4×D292C23semidirect
573. C4×D292C23semidirect
576. D4×Dic73C23semidirect
577. D4×Dic73C23semidirect
578. D4×Dic73C23semidirect
579. D4×Dic73C23semidirect
580. D4×Dic73C23semidirect
581. D4×Dic73C23semidirect
582. D4×Dic73C23semidirect
583. D4×Dic73C23semidirect
584. D4×Dic73C23semidirect
587. #14556553C23semidirect
596. C4×C22⋊D73C23semidirect
597. C4×C22⋊D73C23semidirect
598. C4×C22⋊D73C23semidirect
599. C4×C22⋊D73C23semidirect
600. C4×C22⋊D73C23semidirect
601. C4×C22⋊D73C23semidirect
602. C4×C22⋊D73C23semidirect
603. C4×C22⋊D73C23semidirect
604. C4×C22⋊D73C23semidirect
605. C4×C22⋊D73C23semidirect
606. C4×C22⋊D73C23semidirect
611. #14556551C23semidirect
612. #14556551C23semidirect
613. #14556551C23semidirect
614. #14556551C23semidirect
615. #14556551C23semidirect
616. #14556551C23semidirect
617. #14556551C23semidirect
618. #14556551C23semidirect
620. #14556550C23semidirect
623. #14556549C23semidirect
624. #14556549C23semidirect
625. #14556549C23semidirect
626. #14556549C23semidirect
629. #14556548C23semidirect
630. #14556548C23semidirect
631. #14556548C23semidirect
633. #14556547C23semidirect
634. #14556547C23semidirect
635. #14556547C23semidirect
637. C2×C4⋊Dic73C23semidirect
638. C2×C4⋊Dic73C23semidirect
639. C2×C4⋊Dic73C23semidirect
641. C2×#11924007C23semidirect
642. C2×#11924007C23semidirect
643. C2×#11924007C23semidirect
644. C2×#11924007C23semidirect
645. C2×#11924007C23semidirect
646. C2×#11924007C23semidirect
651. C4⋊C4×D73C23semidirect
656. C2×C22⋊Dic73C23semidirect
657. C2×C22⋊Dic73C23semidirect
658. C2×C22⋊Dic73C23semidirect
669. C2×#11924005C23semidirect
670. C2×#11924005C23semidirect
671. C2×#11924005C23semidirect
679. C22⋊C4×D73C23semidirect
680. C2×C4×Dic73C23semidirect
681. C2×C4×Dic73C23semidirect
684. C2×#41×C73C23semidirect
685. C2×#41×C73C23semidirect
691. C22×D4×C73C23semidirect
692. C22×D4×C73C23semidirect
693. C22×D4×C73C23semidirect
694. C22×D4×C73C23semidirect
696. C23×C4×C73C23semidirect
697. C4⋊Q8×C73C23semidirect
698. #127×C73C23semidirect
699. #124×C73C23semidirect
701. #123×C73C23semidirect
702. #123×C73C23semidirect
703. #123×C73C23semidirect
704. C22⋊Q8×C73C23semidirect
705. C22⋊Q8×C73C23semidirect
712. #121×C73C23semidirect
713. #121×C73C23semidirect
714. #121×C73C23semidirect
715. #121×C73C23semidirect
716. #121×C73C23semidirect
717. #121×C73C23semidirect
718. #121×C73C23semidirect
719. #121×C73C23semidirect
720. #121×C73C23semidirect
722. #120×C73C23semidirect
723. #120×C73C23semidirect
724. #120×C73C23semidirect
727. C4×D4×C73C23semidirect
728. C4×D4×C73C23semidirect
729. C4×D4×C73C23semidirect
730. C4×D4×C73C23semidirect
731. C4×D4×C73C23semidirect
733. C2×C4⋊C4×C73C23semidirect
734. C2×C4⋊C4×C73C23semidirect
735. C2×C4⋊C4×C73C23semidirect
738. C2×C22⋊C4×C73C23semidirect
739. C2×C22⋊C4×C73C23semidirect
740. C2×C22⋊C4×C73C23semidirect
741. C2×C42×C73C23semidirect
1073. C23×C73H(5,𝔽2)semidirect
1247. C4×D73H(5,𝔽2)semidirect
1359. #3496D73semidirect
1372. C73#62818semidirect
1375. C2×H(5,𝔽2)C2×D73semidirect
1429. #547C2×D73semidirect
1430. #547C2×D73semidirect
1458. #546C2×D73semidirect
1459. #546C2×D73semidirect
1475. D42C2×D73semidirect
1476. D42C2×D73semidirect
1511. #537C2×D73semidirect
1529. #534C2×D73semidirect
1530. #534C2×D73semidirect
1533. #532C2×D73semidirect
1583. C2×#121C2×D73semidirect
1584. C2×#121C2×D73semidirect
1585. C2×#121C2×D73semidirect
1603. C2×C4×D4C2×D73semidirect
1630. C2×#41C22×D73semidirect
1631. C2×#41C22×D73semidirect
1671. C22×D4C22×D73semidirect
1672. C22×D4C22×D73semidirect
1673. C22×D4C22×D73semidirect
1674. C22×D4C22×D73semidirect
1693. C23×C4C22×D73semidirect
1696. C4⋊Q8C22×D73semidirect
1703. #127C22×D73semidirect
1737. #124C22×D73semidirect
1779. #123C22×D73semidirect
1780. #123C22×D73semidirect
1781. #123C22×D73semidirect
1815. C22⋊Q8C22×D73semidirect
1816. C22⋊Q8C22×D73semidirect
1901. #121C22×D73semidirect
1902. #121C22×D73semidirect
1903. #121C22×D73semidirect
1904. #121C22×D73semidirect
1905. #121C22×D73semidirect
1906. #121C22×D73semidirect
1907. #121C22×D73semidirect
1908. #121C22×D73semidirect
1909. #121C22×D73semidirect
1947. #120C22×D73semidirect
1948. #120C22×D73semidirect
1949. #120C22×D73semidirect
2005. C4×D4C22×D73semidirect
2006. C4×D4C22×D73semidirect
2007. C4×D4C22×D73semidirect
2008. C4×D4C22×D73semidirect
2009. C4×D4C22×D73semidirect
2044. C2×C4⋊C4C22×D73semidirect
2045. C2×C4⋊C4C22×D73semidirect
2046. C2×C4⋊C4C22×D73semidirect
2077. C2×C22⋊C4C22×D73semidirect
2078. C2×C22⋊C4C22×D73semidirect
2079. C2×C22⋊C4C22×D73semidirect
2082. C2×C42C22×D73semidirect
2455. C23#14556636semidirect

Maximal subgroups

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

subgroupindex
#226242522
#226242482
#226242322
#226241682
#226241622
#226241542
#226241482
#226241182
#226241162
#226241102
#226239582
#226239572
#226239522
#226237702
#226237682
#226237652
#226236902
#226236882
#226236612
#226236552
#226236332
#226236132
#226235962
#226235912
#226235632
#226235622
#226235592
C2×#179890972
C2×#179890962
C2×#121×D732
C73×#34962
#6281873