Finite Group Databasebeta

← #33994625

Subgroups — #33994625

Order 18688.

7242 conjugacy classes of subgroups.

The subgroup lattice has 2788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22624226C212yesmaximal, complemented
2#22624222C212yesmaximal, complemented
3#22624214C212yesmaximal, complemented
4#22624212C212yesmaximal, complemented
5#22624174C212yesmaximal, complemented
6#22624172C212yesmaximal, complemented
7#22624151C212yesmaximal, complemented
8#22624149C212yesmaximal, complemented
9#22624132C214yesmaximal, complemented
10#22624128C214yesmaximal, complemented
11#22623983C212yesmaximal, complemented
12#22623974C212yesmaximal, complemented
13#22623973C212yesmaximal, complemented
14#22623968C212yesmaximal, complemented
15#22623759C212yesmaximal, complemented
16#22623758C212yesmaximal, complemented
17#22623727C212yesmaximal, complemented
18#22623726C212yesmaximal, complemented
19#22623685C211yesmaximal, characteristic, complemented
20#22623684C211yesmaximal, characteristic, complemented
21#22623680C211yesmaximal, characteristic, complemented
22#22623677C211yesmaximal, characteristic, complemented
23#22623638C211yesmaximal, characteristic, complemented
24#22623634C211yesmaximal, characteristic, complemented
25#22623633C214yesmaximal, complemented
26#22623613C214yesmaximal, complemented
27#22623611C211yesmaximal, characteristic, complemented
28#22623606C211yesmaximal, characteristic, complemented
29#22623604C211yesmaximal, characteristic, complemented
30#22623580C211yesmaximal, characteristic, complemented
31#22623579C211yesmaximal, characteristic, complemented
32C2×#17989094C211yesmaximal, characteristic, complemented
33#525×D73C211yesmaximal, characteristic, complemented
34C2×C22⋊Q8×D73C211yesmaximal, characteristic, complemented
35C73×#3489C211yesmaximal, characteristic, complemented
36C2×#14556638C2211yescharacteristic, complemented
37C2×#41×D73C2211yescharacteristic, complemented
38C22×Q8×D73C2211yescharacteristic, complemented
39C23×C4×D73C2211yescharacteristic
40#17989340C2214yescomplemented
41#17989338C2214yescomplemented
42#17989337C2214yescomplemented
43#17989336C2214yescomplemented
44#17989334C2214yescomplemented
45#17989332C2214yescomplemented
46#17989332C2214yescomplemented
47#17989332C2214yescomplemented
48#17989308C2212yescomplemented
49#17989308C2212yescomplemented
50#17989307C2212yescomplemented
51#17989305C2212yescomplemented
52#17989298C2214yescomplemented
53#17989297C2212yescomplemented
54#17989296C2214yescomplemented
55#17989295C2212yescomplemented
56#17989295C2212yescomplemented
57#17989295C2212yescomplemented
58#17989295C2212yescomplemented
59#17989294C2212yescomplemented
60#17989292C2214yescomplemented
61#17989292C2214yescomplemented
62#17989292C2212yescomplemented
63#17989292C2212yescomplemented
64#17989291C2214yescomplemented
65#17989291C2214yescomplemented
66#17989291C2214yescomplemented
67#17989291C2214yescomplemented
68#17989287C2212yescomplemented
69#17989287C2214yescomplemented
70#17989284C2214yescomplemented
71#17989284C2212yescomplemented
72#17989284C2212yescomplemented
73#17989282C2214yescomplemented
74#17989282C2214yescomplemented
75#17989281C2212yescomplemented
76#17989279C2212yescomplemented
77#17989279C2212yescomplemented
78#17989278C2212yescomplemented
79#17989277C2212yescomplemented
80#17989277C2214yescomplemented
81#17989277C2212yescomplemented
82#17989276C2212yescomplemented
83#17989276C2212yescomplemented
84#17989274C2214yescomplemented
85#17989274C2214yescomplemented
86#17989272C2214yescomplemented
87#17989272C2212yescomplemented
88#17989271C2212yescomplemented
89#17989271C2212yescomplemented
90#17989271C2212yescomplemented
91#17989271C2212yescomplemented
92#17989268C2214yescomplemented
93#17989268C2214yescomplemented
94#17989267C2214yescomplemented
95#17989266C2214yescomplemented
96#17989266C2214yescomplemented
97#17989266C2214yescomplemented
98#17989265C2214yescomplemented
99#17989265C2214yescomplemented
100#17989264C2214yescomplemented
101#17989263C2214yescomplemented
102#17989263C2214yescomplemented
103#17989260C2214yescomplemented
104#17989252C2212yescomplemented
105#17989252C2212yescomplemented
106Q8×C22⋊D73C2212yescomplemented
107Q8×C22⋊D73C2212yescomplemented
108Q8×C22⋊D73C2212yescomplemented
109Q8×C22⋊D73C2212yescomplemented
110Q8×C22⋊D73C2212yescomplemented
111Q8×C22⋊D73C2212yescomplemented
112#17989250C2212yescomplemented
113#17989250C2212yescomplemented
114#17989250C2212yescomplemented
115#17989248C2212yescomplemented
116#17989247C2212yescomplemented
117#17989247C2212yescomplemented
118#17989245C2212yescomplemented
119#17989245C2212yescomplemented
120#17989244C2212yescomplemented
121#17989244C2212yescomplemented
122#17989244C2212yescomplemented
123#17989244C2212yescomplemented
124#17989244C2212yescomplemented
125#17989243C2212yescomplemented
126#17989242C2212yescomplemented
127#17989239C2212yescomplemented
128#17989238C2212yescomplemented
129#17989237C2214yescomplemented
130#17989237C2212yescomplemented
131#17989237C2212yescomplemented
132#17989236C2214yescomplemented
133#17989236C2214yescomplemented
134#17989236C2212yescomplemented
135#17989236C2212yescomplemented
136#17989234C2214yescomplemented
137#17989234C2212yescomplemented
138#17989231C2214yescomplemented
139#17989231C2212yescomplemented
140#17989227C2214yescomplemented
141#17989226C2214yescomplemented
142#17989226C2214yescomplemented
143#17989225C2214yescomplemented
144#17989225C2212yescomplemented
145#17989224C2214yescomplemented
146#17989218C2211yescharacteristic, complemented
147#17989216C2214yescomplemented
148#17989215C2211yescharacteristic, complemented
149#17989214C2214yescomplemented
150#17989214C2214yescomplemented
151#17989213C2214yescomplemented
152#17989212C2214yes—
153#17989212C2214yescomplemented
154#17989210C2212yescomplemented
155#17989207C2214yescomplemented
156#17989206C2212yescomplemented
157#17989205C2214yescomplemented
158#17989204C2212yescomplemented
159#17989204C2214yescomplemented
160#17989202C2212yescomplemented
161#17989201C2214yescomplemented
162#17989198C2212yescomplemented
163#17989197C2212yescomplemented
164#17989197C2212yescomplemented
165#17989195C2212yescomplemented
166#17989184C2214yescomplemented
167#17989183C2214yescomplemented
168#17989183C2214yescomplemented
169#17989182C2214yescomplemented
170#17989182C2214yescomplemented
171#17989180C2214yescomplemented
172#17989180C2214yescomplemented
173#17989180C2214yescomplemented
174#17989180C2214yescomplemented
175#17989179C2214yescomplemented
176#17989179C2214yescomplemented
177#17989179C2214yescomplemented
178#17989173C2214yescomplemented
179#17989172C2214yescomplemented
180#17989171C2214yescomplemented
181#17989169C2214yescomplemented
182#17989169C2214yescomplemented
183#17989169C2214yescomplemented
184#17989166C2214yescomplemented
185#17989166C2212yescomplemented
186#17989165C2211yescharacteristic, complemented
187#17989165C2212yescomplemented
188#17989165C2212yescomplemented
189#17989161C2211yescharacteristic, complemented
190#17989161C2212yescomplemented
191#17989160C2212yescomplemented
192#17989159C2214yescomplemented
193#17989158C2211yescharacteristic, complemented
194#17989158C2211yescharacteristic, complemented
195#17989158C2214yescomplemented
196#17989158C2212yescomplemented
197#17989147C2214yes—
198#17989142C2212yescomplemented
199#17989141C2212yescomplemented
200#17989139C2212yescomplemented
201#17989139C2212yescomplemented
202#17989123C2212yescomplemented
203#17989119C2212yescomplemented
204#17989118C2212yescomplemented
205#17989116C2212yescomplemented
206#17989100C2211yescharacteristic
207#17989100C2211yescharacteristic, complemented
208#17989099C2211yescharacteristic, complemented
209#17989098C2211yescharacteristic
210#17989098C2212yescomplemented
211#17989097C2211yescharacteristic
212#17989097C2214yescomplemented
213#17989097C2211yescharacteristic, complemented
214#17989097C2212yescomplemented
215#17989096C2212yes—
216#17989096C2214yescomplemented
217#17989096C2212yescomplemented
218#17989095C2214yescomplemented
219#17989095C2212yescomplemented
220#17989094C2211yescharacteristic
221#17989094C2211yescharacteristic
222#17989094C2212yes—
223#17989094C2212yes—
224#17989094C2211yescharacteristic
225#17989094C2211yescharacteristic
226#17989094C2214yescomplemented
227#17989094C2211yescharacteristic, complemented
228#17989094C2211yescharacteristic, complemented
229#17989094C2211yescharacteristic, complemented
230#17989094C2212yescomplemented
231#17989094C2212yescomplemented
232#17989094C2211yescharacteristic, complemented
233#17989094C2211yescharacteristic, complemented
234#17989094C2212yescomplemented
235#17989093C2212yes—
236C2×#14556572C2212yescomplemented
237#123×D73C2212yescomplemented
238C2×#14556571C2211yescharacteristic, complemented
239C2×#14556570C2211yescharacteristic, complemented
240C2×#14556570C2212yescomplemented
241C2×#14556569C2212yescomplemented
242C2×#14556568C2212yescomplemented
243C2×#14556567C2211yescharacteristic
244C2×#14556567C2211yescharacteristic, complemented
245C2×#14556567C2211yescharacteristic, complemented
246C2×#14556567C2212yescomplemented
247C22⋊Q8×D73C2212yes—
248C22⋊Q8×D73C2212yes—
249C22⋊Q8×D73C2211yescharacteristic
250C22⋊Q8×D73C2212yescomplemented
251C22⋊Q8×D73C2212yescomplemented
252C22⋊Q8×D73C2211yescharacteristic, complemented
253C22⋊Q8×D73C2212yescomplemented
254C22⋊Q8×D73C2212yescomplemented
255C22⋊Q8×D73C2212yescomplemented
256C22⋊Q8×D73C2212yescomplemented
257C22⋊Q8×D73C2212yescomplemented
258C2×#14556562C2211yescharacteristic
259C2×#14556562C2211yescharacteristic, complemented
260#121×D73C2211yescharacteristic
261#121×D73C2211yescharacteristic, complemented
262C2×#14556559C2212yes—
263#120×D73C2212yes—
264#17989070C2211yescharacteristic, complemented
265#17989070C2211yescharacteristic, complemented
266#17989068C2211yescharacteristic, complemented
267#17989068C2214yescomplemented
268#17989066C2214yescomplemented
269#17989065C2211yescharacteristic, complemented
270#17989064C2211yescharacteristic, complemented
271#17989060C2214yes—
272#17989059C2214yes—
273C2×C4×C22⋊D73C2212yes—
274C2×C4×C22⋊D73C2212yescomplemented
275C4×D4×D73C2212yes—
276C4×D4×D73C2212yescomplemented
277C2×#14556550C2211yescharacteristic, complemented
278#117×D73C2211yescharacteristic, complemented
279C2×C4⋊C4×D73C2212yescomplemented
280C2×C4⋊C4×D73C2211yescharacteristic, complemented
281C2×C22⋊C4×D73C2212yes—
282C2×2−1+4×C73C2211yescharacteristic, complemented
283C22×#41×C73C2211yescharacteristic, complemented
284D4×Q8×C73C2212yescomplemented
285#548×C73C2212yescomplemented
286#547×C73C2214yescomplemented
287#547×C73C2212yescomplemented
288#546×C73C2214yescomplemented
289#546×C73C2212yescomplemented
290#537×C73C2211yescharacteristic, complemented
291#537×C73C2212yescomplemented
292#536×C73C2211yescharacteristic, complemented
293#536×C73C2212yescomplemented
294#525×C73C2211yescharacteristic
295#525×C73C2212yescomplemented
296C2×C22⋊Q8×C73C2211yescharacteristic, complemented
297C2×C22⋊Q8×C73C2212yescomplemented
298#520×C73C2211yescharacteristic, complemented
299C24×D73C2311yescharacteristic
300#14556638—44no—
301C2×#11924029C2311yescharacteristic
302C2×#11924028C2311yescharacteristic
303C2×#11924028C2312yes—
304C2×#11924028C2314yes—
305C2×#11924028C2312yescomplemented
306C2×#11924027C2312yes—
307C2×#11924027C2311yescharacteristic
308C2×#11924027C2314yes—
309C2×#11924027C2314yes—
310C2×#11924027C2312yescomplemented
311#41×D73—44no—
312C22×Dic146C2311yescharacteristic
313C22×Dic146C2312yes—
314C22×Dic146C2312yescomplemented
315C2×Q8×D73—44no—
316C2×Q8×D73C2312yes—
317C2×Q8×D73C2312yes—
318C2×Q8×D73C2312yes—
319C2×Q8×D73C2312yes—
320C2×Q8×D73C2311yescharacteristic
321C2×Q8×D73C2312yescomplemented
322C22×C22⋊D73C2312yes—
323C22×C22⋊D73C2312yes—
324C2×D4×D73C2312yes—
325C2×D4×D73C2312yes—
326C2×D4×D73C2311yescharacteristic
327C2×D4×D73C2312yes—
328C23×Dic73C2311yescharacteristic
329C22×C4×D73—44no—
330C22×C4×D73C2311yescharacteristic
331C22×C4×D73C2311yescharacteristic
332C22×C4×D73C2311yescharacteristic
333C22×C4×D73C2311yescharacteristic
334C22×C4×D73C2311yescharacteristic
335C22×C4×D73C2311yescharacteristic
336C22×C4×D73C2311yescharacteristic
337C22×C4×D73C2311yescharacteristic
338C22×C4×D73C2311yescharacteristic
339C22×C4×D73C2311yescharacteristic
340C22×C4×D73C2311yescharacteristic
341C22×C4×D73C2311yescharacteristic
342C22×C4×D73C2312yes—
343C22×C4×D73C2312yes—
344C22×C4×D73C2312yes—
345#14556591C2312yescomplemented
346#14556590C2312yescomplemented
347#14556590C2312yescomplemented
348#14556590C2312yescomplemented
349#14556590C2314yescomplemented
350#14556590C2314yescomplemented
351#14556590C2314yescomplemented
352#14556589C2312yescomplemented
353#14556589C2312yescomplemented
354#14556589C2312yescomplemented
355#14556589C2314yescomplemented
356#14556589C2314yescomplemented
357#14556589C2314yescomplemented
358#14556589C2314yescomplemented
359#14556586C2314yes—
360#14556586C2314yes—
361#14556586C2314yes—
362#14556586C2314yescomplemented
363#14556586C2314yescomplemented
364#14556585C2314yes—
365#14556585C2314yescomplemented
366#14556584C2314yes—
367#14556584C2314yes—
368#14556584C2314yes—
369#14556584C2314yes—
370#14556584C2314yescomplemented
371#14556584C2314yescomplemented
372#14556584C2314yescomplemented
373#14556584C2314yescomplemented
374#14556584C2314yescomplemented
375#14556584C2314yescomplemented
376#14556584C2314yescomplemented
377#14556584C2314yescomplemented
378#14556584C2314yescomplemented
379#14556583C2314yescomplemented
380#14556583C2314yescomplemented
381#14556583C2312yescomplemented
382#14556582C2312yescomplemented
383#14556582C2314yescomplemented
384#14556582C2314yescomplemented
385#14556582C2314yescomplemented
386#14556582C2312yescomplemented
387#14556582C2312yescomplemented
388#14556581C2314yescomplemented
389#14556581C2314yescomplemented
390#14556581C2314yescomplemented
391#14556581C2314yescomplemented
392#14556581C2314yescomplemented
393#14556581C2314yescomplemented
394#14556581C2314yescomplemented
395#14556581C2314yescomplemented
396#14556581C2314yescomplemented
397#14556581C2314yescomplemented
398#14556581C2314yescomplemented
399#14556580C2314yes—
400#14556580C2312yescomplemented
401#14556578C2314yes—
402#14556578C2314yes—
403#14556578C2314yescomplemented
404#14556578C2314yescomplemented
405#14556578C2312yescomplemented
406#14556578C2312yescomplemented
407#14556577C2314yes—
408#14556577C2314yes—
409#14556577C2314yes—
410#14556577C2314yes—
411#14556577C2314yescomplemented
412#14556577C2314yescomplemented
413#14556576C2314yes—
414#14556576C2314yes—
415#14556576C2312yes—
416#14556576C2312yes—
417#14556575C2314yes—
418#14556575C2312yes—
419#14556575C2314yes—
420#14556574C2314yes—
421#14556574C2314yes—
422#14556574C2314yes—
423#14556574C2312yes—
424#14556574C2314yescomplemented
425#14556574C2314yescomplemented
426#14556574C2314yescomplemented
427#14556573C2314yes—
428#14556573C2314yes—
429#14556573C2314yes—
430#14556573C2312yes—
431#14556573C2314yes—
432#14556573C2314yes—
433#14556573C2314yes—
434#14556573C2312yes—
435#14556573C2314yescomplemented
436#14556573C2314yescomplemented
437#14556573C2314yescomplemented
438#14556572C2314yes—
439#14556572C2312yes—
440#14556572C2312yes—
441#14556572C2314yes—
442#14556572C2314yes—
443#14556572C2314yes—
444#14556572C2312yes—
445#14556572C2314yes—
446#14556572C2312yes—
447#14556572C2312yes—
448#14556572C2312yes—
449#14556572C2312yes—
450#14556572C2312yes—
451#14556572C2312yes—
452#14556572C2314yescomplemented
453#14556572C2314yescomplemented
454#14556572C2314yescomplemented
455#14556572C2314yescomplemented
456#14556571C2312yes—
457#14556571C2314yes—
458#14556571C2312yes—
459#14556571C2314yes—
460#14556571C2312yes—
461#14556571C2312yes—
462#14556571C2311yescharacteristic
463#14556571C2311yescharacteristic
464#14556571C2314yescomplemented
465#14556570C2311yescharacteristic
466#14556570C2312yes—
467#14556570C2311yescharacteristic
468#14556570C2312yes—
469#14556570C2314yes—
470#14556570C2314yes—
471#14556570C2312yes—
472#14556570C2312yes—
473#14556570C2312yescomplemented
474#14556570C2312yescomplemented
475#14556570C2312yescomplemented
476#14556570C2312yescomplemented
477#14556570C2312yescomplemented
478#14556570C2314yescomplemented
479#14556570C2314yescomplemented
480#14556570C2314yescomplemented
481#14556570C2314yescomplemented
482#14556570C2314yescomplemented
483#14556570C2314yescomplemented
484#14556570C2314yescomplemented
485#14556570C2314yescomplemented
486#14556569C2314yes—
487#14556569C2314yes—
488#14556569C2314yes—
489#14556569C2314yes—
490#14556569C2314yes—
491#14556569C2312yes—
492#14556569C2314yes—
493#14556569C2314yes—
494#14556569C2314yes—
495#14556569C2312yes—
496#14556569C2314yes—
497#14556569C2314yescomplemented
498#14556569C2314yescomplemented
499#14556569C2314yescomplemented
500#14556568C2314yes—
501#14556568C2314yes—
502#14556568C2314yes—
503#14556568C2314yes—
504#14556568C2314yes—
505#14556568C2312yes—
506#14556568C2314yes—
507#14556568C2314yes—
508#14556568C2312yes—
509#14556568C2314yescomplemented
510#14556568C2314yescomplemented
511#14556568C2314yescomplemented
512#14556568C2314yescomplemented
513#14556568C2314yescomplemented
514#14556568C2314yescomplemented
515#14556568C2314yescomplemented
516#14556568C2314yescomplemented
517#14556567C2311yescharacteristic
518#14556567C2311yescharacteristic
519#14556567C2312yes—
520#14556567C2311yescharacteristic
521#14556567C2311yescharacteristic
522#14556567C2312yes—
523#14556567C2314yes—
524#14556567C2312yes—
525#14556567C2314yes—
526#14556567C2314yes—
527#14556567C2312yes—
528#14556567C2312yes—
529#14556567C2312yes—
530#14556567C2311yescharacteristic
531#14556567C2311yescharacteristic
532#14556567C2311yescharacteristic
533#14556567C2311yescharacteristic
534#14556567C2311yescharacteristic
535#14556567C2311yescharacteristic
536#14556567C2312yes—
537#14556567C2312yes—
538#14556567C2312yescomplemented
539#14556567C2312yescomplemented
540#14556567C2312yescomplemented
541#14556567C2314yescomplemented
542#14556567C2314yescomplemented
543#14556566C2311yescharacteristic
544#14556566C2311yescharacteristic
545#14556565C2311yescharacteristic
546#14556565C2311yescharacteristic
547#14556565C2314yes—
548#14556565C2312yescomplemented
549#14556564C2314yes—
550#14556564C2314yes—
551#14556564C2312yes—
552#14556564C2314yes—
553#14556564C2314yes—
554#14556564C2312yes—
555#14556563C2314yes—
556#14556563C2314yes—
557#14556563C2314yes—
558#14556563C2314yes—
559#14556563C2312yes—
560#14556563C2312yes—
561#14556563C2314yescomplemented
562#14556563C2314yescomplemented
563#14556562C2314yes—
564#14556562C2314yes—
565#14556562C2311yescharacteristic
566#14556562C2314yes—
567#14556562C2312yes—
568#14556562C2311yescharacteristic
569#14556562C2314yes—
570#14556562C2312yes—
571#14556562C2311yescharacteristic
572#14556562C2311yescharacteristic
573#14556562C2311yescharacteristic
574#14556562C2311yescharacteristic
575#14556562C2311yescharacteristic
576#14556562C2311yescharacteristic
577#14556562C2312yes—
578#14556562C2311yescharacteristic
579#14556562C2311yescharacteristic
580#14556562C2312yes—
581#14556562C2312yescomplemented
582#14556562C2314yescomplemented
583#14556561C2312yes—
584#14556561C2312yes—
585#14556561C2312yes—
586#14556560C2314yes—
587#14556560C2312yes—
588#14556559C2314yes—
589#14556559C2314yes—
590#14556559C2312yes—
591#14556559C2312yes—
592#14556559C2312yes—
593#14556559C2312yes—
594#14556559C2312yes—
595#14556559C2312yes—
596#14556559C2312yes—
597#14556559C2312yes—
598#14556559C2312yes—
599#14556559C2312yes—
600#14556559C2312yes—
601Q8×Dic73C2312yescomplemented
602Q8×Dic73C2312yescomplemented
603Q8×Dic73C2312yescomplemented
604Q8×Dic73C2312yescomplemented
605Q8×Dic73C2312yescomplemented
606Q8×Dic73C2312yescomplemented
607C4×Dic146C2314yescomplemented
608C4×Dic146C2312yescomplemented
609C4×Dic146C2312yescomplemented
610#14556556C2312yescomplemented
611#14556556C2312yescomplemented
612#14556556C2314yescomplemented
613#14556556C2314yescomplemented
614#14556556C2314yescomplemented
615#14556556C2312yescomplemented
616C4×D292C2314yes—
617C4×D292C2312yes—
618C4×D292C2312yes—
619D4×Dic73C2314yes—
620D4×Dic73C2312yes—
621D4×Dic73C2314yes—
622D4×Dic73C2314yes—
623D4×Dic73C2312yes—
624D4×Dic73C2314yescomplemented
625D4×Dic73C2312yescomplemented
626D4×Dic73C2312yescomplemented
627#14556553C2314yes—
628#14556553C2312yes—
629#14556553C2314yes—
630#14556553C2312yes—
631#14556553C2312yescomplemented
632C4×C22⋊D73C2314yes—
633C4×C22⋊D73C2314yes—
634C4×C22⋊D73C2314yes—
635C4×C22⋊D73C2314yes—
636C4×C22⋊D73C2312yes—
637C4×C22⋊D73C2314yes—
638C4×C22⋊D73C2314yes—
639C4×C22⋊D73C2312yes—
640C4×C22⋊D73C2314yes—
641C4×C22⋊D73C2314yes—
642C4×C22⋊D73C2312yes—
643C4×C22⋊D73C2314yes—
644C4×C22⋊D73C2312yes—
645C4×C22⋊D73C2312yes—
646C4×C22⋊D73C2312yes—
647C4×C22⋊D73C2312yes—
648C4×C22⋊D73C2312yes—
649C4×C22⋊D73C2312yes—
650C4×C22⋊D73C2312yes—
651C4×C22⋊D73C2312yes—
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⋊D73C2312yes—
661C4×C22⋊D73C2314yescomplemented
662C4×C22⋊D73C2314yescomplemented
663#14556551C2314yes—
664#14556551C2314yes—
665#14556551C2314yes—
666#14556551C2314yes—
667#14556551C2314yes—
668#14556551C2312yes—
669#14556551C2312yes—
670#14556551C2314yes—
671#14556551C2314yes—
672#14556551C2312yes—
673#14556551C2312yes—
674#14556550C2311yescharacteristic
675#14556550C2311yescharacteristic
676#14556550C2314yes—
677#14556550C2311yescharacteristic
678#14556550C2312yes—
679#14556550C2311yescharacteristic
680#14556550C2312yes—
681#14556550C2311yescharacteristic
682#14556550C2312yescomplemented
683#14556550C2312yescomplemented
684#14556550C2314yescomplemented
685#14556549C2314yes—
686#14556549C2314yes—
687#14556549C2311yescharacteristic
688#14556549C2311yescharacteristic
689#14556549C2314yescomplemented
690#14556549C2312yescomplemented
691#14556548C2314yes—
692#14556548C2312yes—
693#14556548C2314yes—
694#14556547C2314yes—
695#14556547C2314yes—
696#14556547C2314yes—
697#14556547C2312yes—
698#14556547C2314yescomplemented
699#14556547C2314yescomplemented
700C2×C4⋊Dic73C2311yescharacteristic
701C2×C4⋊Dic73C2312yes—
702C2×C4⋊Dic73C2311yescharacteristic
703C2×C4⋊Dic73C2311yescharacteristic
704C2×C4⋊Dic73C2312yescomplemented
705C2×C4⋊Dic73C2312yescomplemented
706C2×#11924007C2312yes—
707C2×#11924007C2312yes—
708C2×#11924007C2312yes—
709C2×#11924007C2312yes—
710C2×#11924007C2312yes—
711C2×#11924007C2314yescomplemented
712C2×#11924007C2314yescomplemented
713C4⋊C4×D73C2314yes—
714C4⋊C4×D73C2312yes—
715C4⋊C4×D73C2314yes—
716C4⋊C4×D73C2312yes—
717C4⋊C4×D73C2312yes—
718C4⋊C4×D73C2311yescharacteristic
719C4⋊C4×D73C2312yes—
720C4⋊C4×D73C2314yes—
721C4⋊C4×D73C2314yes—
722C4⋊C4×D73C2312yes—
723C4⋊C4×D73C2312yes—
724C4⋊C4×D73C2311yescharacteristic
725C4⋊C4×D73C2312yescomplemented
726C4⋊C4×D73C2314yescomplemented
727C2×C22⋊Dic73C2312yes—
728C2×C22⋊Dic73C2314yes—
729C2×C22⋊Dic73C2312yes—
730C2×C22⋊Dic73C2312yes—
731C2×C22⋊Dic73C2312yes—
732C2×#11924005C2312yes—
733C2×#11924005C2314yes—
734C2×#11924005C2312yes—
735C2×#11924005C2312yes—
736C2×#11924005C2312yes—
737C22⋊C4×D73C2314yes—
738C22⋊C4×D73C2314yes—
739C22⋊C4×D73C2312yes—
740C22⋊C4×D73C2312yes—
741C22⋊C4×D73C2314yes—
742C22⋊C4×D73C2314yes—
743C22⋊C4×D73C2314yes—
744C22⋊C4×D73C2312yes—
745C22⋊C4×D73C2312yes—
746C22⋊C4×D73C2312yes—
747C2×C4×Dic73C2312yes—
748C42×D73C2312yes—
7492−1+4×C73—44no—
750C2×#41×C73—44no—
751C2×#41×C73C2311yescharacteristic
752C2×#41×C73C2311yescharacteristic
753C2×#41×C73C2311yescharacteristic
754C2×#41×C73C2312yes—
755C2×#41×C73C2314yes—
756C2×#41×C73C2312yes—
757C2×#41×C73C2311yescharacteristic
758C2×#41×C73C2311yescharacteristic
759C2×#41×C73C2312yescomplemented
760C2×#41×C73C2312yescomplemented
761C22×Q8×C73C2311yescharacteristic
762C22×Q8×C73C2311yescharacteristic
763C22×Q8×C73C2312yescomplemented
764C22×Q8×C73C2312yescomplemented
765C22×D4×C73C2312yes—
766C22×D4×C73C2311yescharacteristic
767C23×C4×C73C2311yescharacteristic
768C23×C4×C73C2312yes—
769C4⋊Q8×C73C2312yescomplemented
770C4⋊Q8×C73C2314yescomplemented
771#124×C73C2314yes—
772#124×C73C2312yescomplemented
773#123×C73C2314yes—
774#123×C73C2314yes—
775#123×C73C2312yes—
776#123×C73C2314yescomplemented
777#123×C73C2314yescomplemented
778C22⋊Q8×C73C2312yes—
779C22⋊Q8×C73C2311yescharacteristic
780C22⋊Q8×C73C2311yescharacteristic
781C22⋊Q8×C73C2312yes—
782C22⋊Q8×C73C2314yes—
783C22⋊Q8×C73C2312yes—
784C22⋊Q8×C73C2312yes—
785C22⋊Q8×C73C2312yescomplemented
786C22⋊Q8×C73C2314yescomplemented
787C22⋊Q8×C73C2314yescomplemented
788C22⋊Q8×C73C2312yescomplemented
789C22⋊Q8×C73C2312yescomplemented
790C22⋊Q8×C73C2312yescomplemented
791#121×C73C2314yes—
792#121×C73C2314yes—
793#121×C73C2314yes—
794#121×C73C2311yescharacteristic
795#121×C73C2311yescharacteristic
796#121×C73C2314yescomplemented
797#121×C73C2312yescomplemented
798#121×C73C2312yescomplemented
799#120×C73C2314yes—
800#120×C73C2312yes—
801C4×Q8×C73C2312yescomplemented
802C4×D4×C73C2314yes—
803C4×D4×C73C2314yes—
804C4×D4×C73C2312yes—
805C4×D4×C73C2312yes—
806C4×D4×C73C2314yescomplemented
807C4×D4×C73C2312yescomplemented
808#117×C73C2311yescharacteristic
809#117×C73C2312yescomplemented
810C2×C4⋊C4×C73C2311yescharacteristic
811C2×C4⋊C4×C73C2312yes—
812C2×C4⋊C4×C73C2314yescomplemented
813C2×C4⋊C4×C73C2312yescomplemented
814C2×C22⋊C4×C73C2314yes—
815C2×C22⋊C4×C73C2312yes—
816C23×D73—24no—
817C23×D73—42no—
818C23×D73—42no—
819C23×D73C2411yescharacteristic
820C23×D73C2411yescharacteristic
821C23×D73C2411yescharacteristic
822C23×D73C2411yescharacteristic
823C23×D73C2412yes—
824C23×D73C2411yescharacteristic
825C23×D73C2411yescharacteristic
826#11924029—42no—
827#11924028—24no—
828#11924028—44no—
829#11924028—44no—
830#11924028—48no—
831#11924027—42no—
832#11924027—44no—
833#11924027—48no—
834#11924027—44no—
835#11924027—48no—
836C2×Dic146—24no—
837C2×Dic146—44no—
838C2×Dic146—44no—
839C2×Dic146C2412yes—
840C2×Dic146C2411yescharacteristic
841C2×Dic146C2412yes—
842C2×Dic146C2414yes—
843C2×Dic146C2414yes—
844C2×Dic146C2412yes—
845C2×Dic146C2414yes—
846C2×Dic146C2414yes—
847C2×Dic146C2414yes—
848Q8×D73—44no—
849Q8×D73—44no—
850Q8×D73—44no—
851Q8×D73—44no—
852Q8×D73—42no—
853Q8×D73—44no—
854C2×D292C2412yes—
855C2×D292C2412yes—
856C2×D292C2411yescharacteristic
857C2×D292C2412yes—
858C2×C22⋊D73—28no—
859C2×C22⋊D73—44no—
860C2×C22⋊D73C2412yes—
861C2×C22⋊D73C2412yes—
862C2×C22⋊D73C2412yes—
863C2×C22⋊D73C2412yes—
864C2×C22⋊D73C2412yes—
865C2×C22⋊D73C2412yes—
866C2×C22⋊D73C2412yes—
867C2×C22⋊D73C2412yes—
868C2×C22⋊D73C2412yes—
869C2×C22⋊D73C2412yes—
870C2×C22⋊D73C2412yes—
871C2×C22⋊D73C2412yes—
872C2×C22⋊D73C2412yes—
873C2×C22⋊D73C2414yes—
874C2×C22⋊D73C2412yes—
875C2×C22⋊D73C2414yes—
876C2×C22⋊D73C2412yes—
877D4×D73—28no—
878D4×D73—42no—
879D4×D73—44no—
880D4×D73—44no—
881C22×Dic73—42no—
882C22×Dic73C2412yes—
883C22×Dic73C2412yes—
884C22×Dic73C2411yescharacteristic
885C22×Dic73C2411yescharacteristic
886C22×Dic73C2412yes—
887C22×Dic73C2412yes—
888C22×Dic73C2414yes—
889C22×Dic73C2411yescharacteristic
890C22×Dic73C2411yescharacteristic
891C22×Dic73C2414yes—
892C22×Dic73C2414yes—
893C22×Dic73C2412yes—
894C22×Dic73C2411yescharacteristic
895C22×Dic73C2411yescharacteristic
896C2×C4×D73—24no—
897C2×C4×D73—24no—
898C2×C4×D73—42no—
899C2×C4×D73—42no—
900C2×C4×D73—42no—
901C2×C4×D73—42no—
902C2×C4×D73—42no—
903C2×C4×D73—42no—
904C2×C4×D73—42no—
905C2×C4×D73—42no—
906C2×C4×D73—44no—
907C2×C4×D73—44no—
908C2×C4×D73—42no—
909C2×C4×D73—42no—
910C2×C4×D73—44no—
911C2×C4×D73C2411yescharacteristic
912C2×C4×D73C2412yes—
913C2×C4×D73C2414yes—
914C2×C4×D73C2411yescharacteristic
915C2×C4×D73C2411yescharacteristic
916C2×C4×D73C2411yescharacteristic
917C2×C4×D73C2411yescharacteristic
918C2×C4×D73C2411yescharacteristic
919C2×C4×D73C2412yes—
920C2×C4×D73C2411yescharacteristic
921C2×C4×D73C2411yescharacteristic
922C2×C4×D73C2412yes—
923C2×C4×D73C2414yes—
924C2×C4×D73C2412yes—
925C2×C4×D73C2414yes—
926C2×C4×D73C2414yes—
927C2×C4×D73C2411yescharacteristic
928C2×C4×D73C2411yescharacteristic
929C2×C4×D73C2414yes—
930C2×C4×D73C2414yes—
931C2×C4×D73C2411yescharacteristic
932C2×C4×D73C2411yescharacteristic
933C2×C4×D73C2411yescharacteristic
934C2×C4×D73C2411yescharacteristic
935C2×C4×D73C2412yes—
936C2×C4×D73C2411yescharacteristic
937C2×C4×D73C2411yescharacteristic
938C4⋊Dic73C2414yes—
939C4⋊Dic73C2412yes—
940C4⋊Dic73C2412yes—
941C4⋊Dic73C2414yes—
942C4⋊Dic73C2411yescharacteristic
943C4⋊Dic73C2411yescharacteristic
944C4⋊Dic73C2412yes—
945C4⋊Dic73C2412yes—
946C4⋊Dic73C2411yescharacteristic
947C4⋊Dic73C2411yescharacteristic
948C4⋊Dic73C2411yescharacteristic
949C4⋊Dic73C2411yescharacteristic
950C4⋊Dic73C2412yes—
951C4⋊Dic73C2412yes—
952C4⋊Dic73C2414yes—
953C4⋊Dic73C2414yes—
954C4⋊Dic73C2414yes—
955C4⋊Dic73C2414yes—
956C4⋊Dic73C2414yes—
957C4⋊Dic73C2414yes—
958#11924007C2414yes—
959#11924007C2414yes—
960#11924007C2414yes—
961#11924007C2414yes—
962#11924007C2414yes—
963#11924007C2414yes—
964#11924007C2412yes—
965#11924007C2412yes—
966#11924007C2412yes—
967#11924007C2412yes—
968#11924007C2412yes—
969#11924007C2412yes—
970#11924007C2412yes—
971#11924007C2414yes—
972#11924007C2414yes—
973#11924007C2412yes—
974#11924007C2412yes—
975#11924007C2412yes—
976#11924007C2412yes—
977#11924007C2412yes—
978#11924007C2412yes—
979#11924007C2412yes—
980#11924007C2414yes—
981#11924007C2414yes—
982#11924007C2414yes—
983#11924007C2414yes—
984#11924007C2414yes—
985#11924007C2414yes—
986#11924007C2414yes—
987#11924007C2414yes—
988#11924007C2414yes—
989#11924007C2414yes—
990#11924007C2414yes—
991#11924007C2414yes—
992C22⋊Dic73C2414yes—
993C22⋊Dic73C2414yes—
994C22⋊Dic73C2412yes—
995C22⋊Dic73C2412yes—
996C22⋊Dic73C2412yes—
997C22⋊Dic73C2414yes—
998C22⋊Dic73C2412yes—
999C22⋊Dic73C2412yes—
1000C22⋊Dic73C2412yes—
1001C22⋊Dic73C2412yes—
1002C22⋊Dic73C2412yes—
1003C22⋊Dic73C2412yes—
1004C22⋊Dic73C2412yes—
1005C22⋊Dic73C2412yes—
1006C22⋊Dic73C2412yes—
1007C22⋊Dic73C2412yes—
1008C22⋊Dic73C2414yes—
1009C22⋊Dic73C2412yes—
1010C22⋊Dic73C2412yes—
1011C22⋊Dic73C2412yes—
1012C22⋊Dic73C2412yes—
1013C22⋊Dic73C2414yes—
1014C22⋊Dic73C2414yes—
1015C22⋊Dic73C2414yes—
1016C22⋊Dic73C2414yes—
1017C22⋊Dic73C2414yes—
1018#11924005C2414yes—
1019#11924005C2414yes—
1020#11924005C2412yes—
1021#11924005C2414yes—
1022#11924005C2414yes—
1023#11924005C2412yes—
1024#11924005C2412yes—
1025#11924005C2412yes—
1026#11924005C2412yes—
1027#11924005C2412yes—
1028#11924005C2412yes—
1029#11924005C2412yes—
1030#11924005C2412yes—
1031#11924005C2412yes—
1032#11924005C2412yes—
1033#11924005C2412yes—
1034#11924005C2412yes—
1035#11924005C2412yes—
1036#11924005C2412yes—
1037#11924005C2414yes—
1038#11924005C2412yes—
1039#11924005C2412yes—
1040#11924005C2412yes—
1041#11924005C2414yes—
1042#11924005C2414yes—
1043#11924005C2414yes—
1044C4×Dic73C2412yes—
1045C4×Dic73C2412yes—
1046C4×Dic73C2412yes—
1047C4×Dic73C2412yes—
1048C4×Dic73C2412yes—
1049C4×Dic73C2412yes—
1050C4×Dic73C2412yes—
1051C4×Dic73C2414yes—
1052C4×Dic73C2414yes—
1053C4×Dic73C2414yes—
1054C4×Dic73C2414yes—
1055C4×Dic73C2414yes—
1056C4×Dic73C2414yes—
1057C4×Dic73C2414yes—
1058C24×C73C2411yescharacteristic
1059C24×C73C2412yes—
1060#41×C73—24no—
1061#41×C73—24no—
1062#41×C73—24no—
1063#41×C73—44no—
1064#41×C73—44no—
1065#41×C73—48no—
1066#41×C73—42no—
1067#41×C73—42no—
1068#41×C73—44no—
1069#41×C73—44no—
1070C2×Q8×C73—24no—
1071C2×Q8×C73—42no—
1072C2×Q8×C73—44no—
1073C2×Q8×C73—44no—
1074C2×Q8×C73C2411yescharacteristic
1075C2×Q8×C73C2412yes—
1076C2×Q8×C73C2411yescharacteristic
1077C2×Q8×C73C2412yes—
1078C2×Q8×C73C2411yescharacteristic
1079C2×Q8×C73C2414yes—
1080C2×Q8×C73C2412yes—
1081C2×D4×C73—42no—
1082C2×D4×C73—44no—
1083C2×D4×C73C2412yes—
1084C2×D4×C73C2412yes—
1085C2×D4×C73C2411yescharacteristic
1086C2×D4×C73C2412yes—
1087C2×D4×C73C2411yescharacteristic
1088C2×D4×C73C2412yes—
1089C2×D4×C73C2411yescharacteristic
1090C2×D4×C73C2412yes—
1091C2×D4×C73C2414yes—
1092C2×D4×C73C2414yes—
1093C2×D4×C73C2412yes—
1094C2×D4×C73C2412yes—
1095C2×D4×C73C2412yes—
1096C22×C4×C73—24no—
1097C22×C4×C73—44no—
1098C22×C4×C73C2412yes—
1099C22×C4×C73C2411yescharacteristic
1100C22×C4×C73C2412yes—
1101C22×C4×C73C2412yes—
1102C22×C4×C73C2411yescharacteristic
1103C22×C4×C73C2411yescharacteristic
1104C22×C4×C73C2411yescharacteristic
1105C22×C4×C73C2411yescharacteristic
1106C22×C4×C73C2412yes—
1107C22×C4×C73C2412yes—
1108C22×C4×C73C2414yes—
1109C22×C4×C73C2414yes—
1110C22×C4×C73C2412yes—
1111C22×C4×C73C2412yes—
1112C22×C4×C73C2414yes—
1113C22×C4×C73C2412yes—
1114C22×C4×C73C2411yescharacteristic
1115C4⋊C4×C73C2412yes—
1116C4⋊C4×C73C2414yes—
1117C4⋊C4×C73C2412yes—
1118C4⋊C4×C73C2414yes—
1119C4⋊C4×C73C2411yescharacteristic
1120C4⋊C4×C73C2412yes—
1121C4⋊C4×C73C2414yes—
1122C4⋊C4×C73C2414yes—
1123C4⋊C4×C73C2414yes—
1124C4⋊C4×C73C2411yescharacteristic
1125C4⋊C4×C73C2412yes—
1126C4⋊C4×C73C2414yes—
1127C22⋊C4×C73C2414yes—
1128C22⋊C4×C73C2412yes—
1129C22⋊C4×C73C2414yes—
1130C22⋊C4×C73C2414yes—
1131C22⋊C4×C73C2414yes—
1132C22⋊C4×C73C2412yes—
1133C22⋊C4×C73C2414yes—
1134C22⋊C4×C73C2412yes—
1135C22⋊C4×C73C2412yes—
1136C22⋊C4×C73C2414yes—
1137C22⋊C4×C73C2412yes—
1138C22⋊C4×C73C2414yes—
1139C42×C73C2412yes—
1140C42×C73C2414yes—
1141C23×C73—22no—
1142C23×C73—22no—
1143C23×C73—24no—
1144C23×C73—41no—
1145C23×C73—42no—
1146C23×C73—42no—
1147C23×C73C2511yescharacteristic
1148C23×C73C2512yes—
1149C23×C73C2512yes—
1150C23×C73C2512yes—
1151C23×C73C2511yescharacteristic
1152C23×C73C2511yescharacteristic
1153C22×D73—22no—
1154C22×D73—22no—
1155C22×D73—22no—
1156C22×D73—22no—
1157C22×D73—22no—
1158C22×D73—22no—
1159C22×D73—22no—
1160C22×D73—22no—
1161C22×D73—22no—
1162C22×D73—22no—
1163C22×D73—24no—
1164C22×D73—41no—
1165C22×D73—41no—
1166C22×D73—41no—
1167C22×D73—41no—
1168C22×D73—41no—
1169C22×D73—41no—
1170C22×D73—41no—
1171C22×D73—42no—
1172C22×D73—42no—
1173C22×D73—416no—
1174C22×D732−1+414yescomplemented
1175C22×D73C2511yescharacteristic
1176C22×D73C2512yes—
1177C22×D73C2511yescharacteristic
1178C22×D73C2511yescharacteristic
1179C22×D73C2511yescharacteristic
1180Q8×C73—24no—
1181Q8×C73—24no—
1182Q8×C73—22no—
1183Q8×C73—22no—
1184Q8×C73—22no—
1185Q8×C73—44no—
1186Q8×C73—42no—
1187D4×C73—24no—
1188D4×C73—24no—
1189D4×C73—24no—
1190D4×C73—24no—
1191D4×C73—22no—
1192D4×C73—22no—
1193D4×C73—22no—
1194D4×C73—42no—
1195D4×C73—42no—
1196D4×C73—42no—
1197D4×C73—44no—
1198D4×C73—42no—
1199D4×C73—44no—
1200C2×C4×C73—22no—
1201C2×C4×C73—24no—
1202C2×C4×C73—22no—
1203C2×C4×C73—22no—
1204C2×C4×C73—22no—
1205C2×C4×C73—22no—
1206C2×C4×C73—24no—
1207C2×C4×C73—24no—
1208C2×C4×C73—24no—
1209C2×C4×C73—42no—
1210C2×C4×C73—42no—
1211C2×C4×C73—42no—
1212C2×C4×C73—44no—
1213C2×C4×C73—44no—
1214C2×C4×C73—42no—
1215C2×C4×C73—44no—
1216C2×C4×C73H(5,𝔽2)14yes—
1217C2×C4×C73C2512yes—
1218C2×C4×C73C2512yes—
1219C2×C4×C73C2512yes—
1220C2×C4×C73C2514yes—
1221C2×C4×C73C2514yes—
1222C2×C4×C73C2512yes—
1223C2×C4×C73C2511yescharacteristic
1224C2×C4×C73C2512yes—
1225C2×C4×C73C2511yescharacteristic
1226C2×C4×C73C2511yescharacteristic
1227C2×C4×C73C2511yescharacteristic
1228C22⋊D73—24no—
1229C22⋊D73—24no—
1230C22⋊D73—24no—
1231C22⋊D73—24no—
1232C22⋊D73—24no—
1233C22⋊D73—24no—
1234C22⋊D73—24no—
1235C22⋊D73—24no—
1236C22⋊D73—24no—
1237C22⋊D73—24no—
1238C22⋊D73—42no—
1239C22⋊D73—42no—
1240C22⋊D73—42no—
1241C22⋊D73—42no—
1242C22⋊D73—42no—
1243C22⋊D73—44no—
1244C22⋊D73—44no—
1245C2×Dic73—22no—
1246C2×Dic73—22no—
1247C2×Dic73—24no—
1248C2×Dic73—24no—
1249C2×Dic73—41no—
1250C2×Dic73—41no—
1251C2×Dic73—41no—
1252C2×Dic73—41no—
1253C2×Dic73—42no—
1254C2×Dic73—42no—
1255C2×Dic73—42no—
1256C2×Dic73—44no—
1257C2×Dic73—44no—
1258C2×Dic73—44no—
1259C2×Dic73C2512yes—
1260C2×Dic73C2512yes—
1261C2×Dic73C2512yes—
1262C2×Dic73C2512yes—
1263C2×Dic73C2512yes—
1264C2×Dic73C2512yes—
1265C2×Dic73C2511yescharacteristic
1266C2×Dic73C2514yes—
1267C2×Dic73C2514yes—
1268C2×Dic73C2512yes—
1269C2×Dic73C2511yescharacteristic
1270C2×Dic73C2511yescharacteristic
1271C2×Dic73C2511yescharacteristic
1272D292—24no—
1273D292—24no—
1274D292—22no—
1275D292—42no—
1276C4×D73—24no—
1277C4×D73—28no—
1278C4×D73—22no—
1279C4×D73—22no—
1280C4×D73—22no—
1281C4×D73—22no—
1282C4×D73—22no—
1283C4×D73—22no—
1284C4×D73—22no—
1285C4×D73—22no—
1286C4×D73—24no—
1287C4×D73—41no—
1288C4×D73—41no—
1289C4×D73—41no—
1290C4×D73—41no—
1291C4×D73—41no—
1292C4×D73—41no—
1293C4×D73—41no—
1294C4×D73—41no—
1295C4×D73—44no—
1296C4×D73—42no—
1297C4×D73—44no—
1298C4×D73—44no—
1299C4×D73—42no—
1300C4×D73—42no—
1301C4×D73—44no—
1302C4×D73—44no—
1303Dic146—24no—
1304Dic146—24no—
1305Dic146—22no—
1306Dic146—44no—
1307Dic146—44no—
1308Dic146—44no—
1309Dic146—42no—
1310Dic146—44no—
1311Dic146—44no—
1312C22×C73—21no—
1313C22×C73—21no—
1314C22×C73—21no—
1315C22×C73—21no—
1316C22×C73—22no—
1317C22×C73—21no—
1318C22×C73—22no—
1319C22×C73—22no—
1320C22×C73—22no—
1321C22×C73—22no—
1322C22×C73—22no—
1323C22×C73—21no—
1324C22×C73—22no—
1325C22×C73—22no—
1326C22×C73—22no—
1327C22×C73—21no—
1328C22×C73—44no—
1329C22×C73—84no—
1330C22×C73C2×H(5,𝔽2)12yes—
1331C22×C73C2×2−1+412yes—
1332C22×C73C2611yescharacteristic
1333C2×D73—28no—
1334C2×D73—21no—
1335C2×D73—21no—
1336C2×D73—21no—
1337C2×D73—21no—
1338C2×D73—21no—
1339C2×D73—21no—
1340C2×D73—21no—
1341C2×D73—22no—
1342C2×D73—22no—
1343C2×D73—21no—
1344C2×D73—22no—
1345C2×D73—21no—
1346C2×D73—44no—
1347C2×D73—44no—
1348C2×D73—44no—
1349C2×D73—44no—
1350C2×D73—44no—
1351C2×D73—84no—
1352C2×D73C2×2−1+412yes—
1353C2×D73C2×2−1+412yes—
1354C2×D73#58512yes—
1355C4×C73—22no—
1356C4×C73—24no—
1357C4×C73—22no—
1358C4×C73—21no—
1359C4×C73—21no—
1360C4×C73—22no—
1361C4×C73—22no—
1362C4×C73—22no—
1363C4×C73—24no—
1364C4×C73C2×H(5,𝔽2)12yes—
1365C4×C73C2×H(5,𝔽2)12yes—
1366Dic73—24no—
1367Dic73—22no—
1368Dic73—21no—
1369Dic73—21no—
1370Dic73—21no—
1371Dic73—21no—
1372Dic73—22no—
1373Dic73—22no—
1374Dic73—22no—
1375Dic73—22no—
1376Dic73—22no—
1377Dic73—22no—
1378Dic73—24no—
1379#62819—731nomaximal, Sylow
1380C2×C73—22no—
1381C2×C73—22no—
1382C2×C73—41no—
1383C2×C73—42no—
1384C2×C73—42no—
1385C2×C73—42no—
1386C2×C73C22×H(5,𝔽2)11yescharacteristic
1387C2×C73C22×2−1+411yescharacteristic
1388C2×C73C2×#58511yescharacteristic
1389D73—22no—
1390D73—22no—
1391D73—22no—
1392D73—41no—
1393D73—42no—
1394#3541—732no—
1395#3541—732no—
1396#3541—732no—
1397#3541—732no—
1398#3538—732no—
1399#3538—732no—
1400#3536—732no—
1401#3536—732no—
1402#3535—734no—
1403#3535—734no—
1404#3520—732no—
1405#3520—732no—
1406#3520—732no—
1407#3520—732no—
1408#3505—732no—
1409#3505—732no—
1410#3501—732no—
1411#3501—732no—
1412#3495—731no—
1413#3495—731no—
1414#3495—731no—
1415#3495—731no—
1416#3492—734no—
1417#3492—731no—
1418#3492—731no—
1419#3490—734no—
1420#3489—731no—
1421#3489—731no—
1422#3489—731no—
1423#3489D7311yescharacteristic, complemented
1424#3486—731no—
1425#3486—731no—
1426C2×#525—731no—
1427C2×#525—731no—
1428C22×C22⋊Q8—731no—
1429C73#6281911yescharacteristic, complemented, Sylow
1430C2×2−1+4—731no—
1431C2×2−1+4C2×D7311yescharacteristic, complemented
1432C22×#41—731no—
1433C22×#41C2×D7311yescharacteristic, complemented
1434C23×Q8—731no—
1435C24×C4—731no—
1436#563—734no—
1437#563—734no—
1438#563—734no—
1439#563—734no—
1440#562—734no—
1441#562—734no—
1442#562—734no—
1443#562—734no—
1444#556—732no—
1445#556—732no—
1446#556—732no—
1447#556—732no—
1448#554—734no—
1449#554—732no—
1450#554—734no—
1451#554—734no—
1452#554—734no—
1453#554—732no—
1454#554—732no—
1455#554—732no—
1456#554—734no—
1457#554—732no—
1458#554—732no—
1459#554—734no—
1460#554—734no—
1461#554—732no—
1462#554—732no—
1463#554—734no—
1464#553—734no—
1465#553—734no—
1466#553—732no—
1467#553—732no—
1468#553—734no—
1469#553—732no—
1470#553—734no—
1471#553—732no—
1472#552—734no—
1473#552—734no—
1474#552—732no—
1475#552—732no—
1476#552—732no—
1477#552—732no—
1478#552—732no—
1479#552—732no—
1480#552—732no—
1481#552—734no—
1482#552—732no—
1483#552—732no—
1484#552—732no—
1485#552—732no—
1486#552—734no—
1487#552—732no—
1488#551—734no—
1489#551—734no—
1490#551—734no—
1491#551—734no—
1492#551—734no—
1493#551—734no—
1494#551—734no—
1495#551—734no—
1496#551—734no—
1497#551—734no—
1498#551—734no—
1499#551—734no—
1500D4×Q8—732no—
1501D4×Q8—732no—
1502D4×Q8—732no—
1503D4×Q8—732no—
1504D4×Q8—732no—
1505D4×Q8—732no—
1506D4×Q8—732no—
1507D4×Q8—732no—
1508D4×Q8—732no—
1509D4×Q8—732no—
1510D4×Q8—732no—
1511D4×Q8C2×D7312yescomplemented
1512#548—732no—
1513#548—732no—
1514#548—732no—
1515#548—732no—
1516#548—732no—
1517#548—732no—
1518#548—732no—
1519#548—732no—
1520#548—732no—
1521#548—732no—
1522#548—732no—
1523#548C2×D7312yescomplemented
1524#547—734no—
1525#547—734no—
1526#547—732no—
1527#547—732no—
1528#547—732no—
1529#547—734no—
1530#547—732no—
1531#547—732no—
1532#547—732no—
1533#547—732no—
1534#547C2×D7314yescomplemented
1535#547C2×D7312yescomplemented
1536#546—734no—
1537#546—732no—
1538#546—734no—
1539#546—732no—
1540#546—734no—
1541#546—734no—
1542#546—734no—
1543#546—732no—
1544#546—734no—
1545#546—734no—
1546#546C2×D7314yescomplemented
1547#546C2×D7312yescomplemented
1548#544—734no—
1549#544—734no—
1550#544—734no—
1551#544—731no—
1552#544—731no—
1553#543—734no—
1554#543—734no—
1555#543—734no—
1556#542—734no—
1557#542—732no—
1558#542—734no—
1559#542—732no—
1560#542—734no—
1561#542—732no—
1562#542—734no—
1563#542—732no—
1564#541—732no—
1565#541—732no—
1566#541—732no—
1567#541—732no—
1568#539—734no—
1569#539—734no—
1570#539—734no—
1571#539—734no—
1572#539—734no—
1573#539—734no—
1574#539—734no—
1575#539—734no—
1576#539—734no—
1577#539—734no—
1578#539—734no—
1579#539—734no—
1580#538—734no—
1581#538—734no—
1582#538—734no—
1583#538—734no—
1584#538—734no—
1585#538—734no—
1586#537—731no—
1587#537—732no—
1588#537—732no—
1589#537—732no—
1590#537—734no—
1591#537C2×D7311yescharacteristic, complemented
1592#537C2×D7312yescomplemented
1593#536—731no—
1594#536—731no—
1595#536—734no—
1596#536—732no—
1597#536—731no—
1598#536—732no—
1599#536—734no—
1600#536—732no—
1601#536C2×D7311yescharacteristic, complemented
1602#536C2×D7312yescomplemented
1603#534—734no—
1604#533—732no—
1605#533—732no—
1606#533—732no—
1607#533—732no—
1608#529—732no—
1609#529—732no—
1610#529—732no—
1611#529—732no—
1612#525—731no—
1613#525—731no—
1614#525—731no—
1615#525—731no—
1616#525—731no—
1617#525—732no—
1618#525—731no—
1619#525—731no—
1620#525—732no—
1621#525—732no—
1622#525—732no—
1623#525—731no—
1624#525—731no—
1625#525—734no—
1626#525—732no—
1627#525—731no—
1628#525—732no—
1629#525—732no—
1630#525—734no—
1631#525—731no—
1632#525—731no—
1633#525—731no—
1634#525—731no—
1635#525—734no—
1636#525—732no—
1637#525—732no—
1638#525—732no—
1639#525—732no—
1640#525—734no—
1641#525—731no—
1642#525C2×D7311yescharacteristic
1643#525C2×D7312yescomplemented
1644C2×#123—732no—
1645C2×#123—732no—
1646C2×C22⋊Q8—731no—
1647C2×C22⋊Q8—731no—
1648C2×C22⋊Q8—731no—
1649C2×C22⋊Q8—732no—
1650C2×C22⋊Q8—731no—
1651C2×C22⋊Q8—732no—
1652C2×C22⋊Q8—732no—
1653C2×C22⋊Q8—732no—
1654C2×C22⋊Q8—732no—
1655C2×C22⋊Q8—732no—
1656C2×C22⋊Q8—732no—
1657C2×C22⋊Q8—732no—
1658C2×C22⋊Q8—732no—
1659C2×C22⋊Q8—732no—
1660C2×C22⋊Q8—731no—
1661C2×C22⋊Q8—731no—
1662C2×C22⋊Q8—732no—
1663C2×C22⋊Q8—731no—
1664C2×C22⋊Q8—732no—
1665C2×C22⋊Q8—732no—
1666C2×C22⋊Q8C2×D7311yescharacteristic, complemented
1667C2×C22⋊Q8C2×D7312yescomplemented
1668C2×#121—731no—
1669C2×#121—731no—
1670C2×#121—731no—
1671C2×#121—731no—
1672C2×#120—732no—
1673C2×#120—732no—
1674#520—731no—
1675#520—731no—
1676#520—734no—
1677#520—731no—
1678#520—734no—
1679#520C2×D7311yescharacteristic, complemented
1680#519—731no—
1681#519—731no—
1682#518—734no—
1683#518—734no—
1684C2×C4×D4—732no—
1685C2×C4×D4—732no—
1686C2×C4×D4—732no—
1687C2×C4×D4—732no—
1688C2×#117—731no—
1689C2×#117—731no—
1690C22×C4⋊C4—731no—
1691C22×C4⋊C4—732no—
1692C22×C22⋊C4—732no—
1693C25—731no—
16942−1+4—44no—
16952−1+4—2924no—
1696C2×#41—44no—
1697C2×#41—2924no—
1698C2×#41—731no—
1699C2×#41—734no—
1700C2×#41—732no—
1701C2×#41—731no—
1702C2×#41—734no—
1703C2×#41—732no—
1704C2×#41—734no—
1705C2×#41—732no—
1706C2×#41—732no—
1707C2×#41—731no—
1708C2×#41C22×D7311yescharacteristic
1709C2×#41C22×D7311yescharacteristic
1710C2×#41C22×D7311yescharacteristic
1711C2×#41C22×D7312yes—
1712C2×#41C22×D7312yes—
1713C2×#41C22×D7311yescharacteristic
1714C2×#41C22×D7311yescharacteristic
1715C2×#41C22×D7314yes—
1716C2×#41C22×D7312yescomplemented
1717C2×#41C22×D7312yescomplemented
1718C22×Q8—2924no—
1719C22×Q8—732no—
1720C22×Q8—732no—
1721C22×Q8—732no—
1722C22×Q8—732no—
1723C22×Q8—731no—
1724C22×Q8—732no—
1725C22×Q8—732no—
1726C22×Q8—732no—
1727C22×Q8—731no—
1728C22×Q8C22×D7311yescharacteristic
1729C22×Q8C22×D7311yescharacteristic
1730C22×Q8C22×D7312yescomplemented
1731C22×Q8C22×D7312yescomplemented
1732C22×D4—732no—
1733C22×D4—732no—
1734C22×D4—732no—
1735C22×D4—731no—
1736C22×D4—732no—
1737C22×D4—732no—
1738C22×D4C22×D7312yes—
1739C22×D4C22×D7311yescharacteristic
1740C23×C4—2924no—
1741C23×C4—731no—
1742C23×C4—732no—
1743C23×C4—732no—
1744C23×C4—731no—
1745C23×C4—731no—
1746C23×C4—731no—
1747C23×C4—731no—
1748C23×C4—731no—
1749C23×C4—732no—
1750C23×C4—731no—
1751C23×C4—731no—
1752C23×C4—731no—
1753C23×C4—731no—
1754C23×C4—731no—
1755C23×C4—731no—
1756C23×C4—731no—
1757C23×C4C22×D7311yescharacteristic
1758C23×C4C22×D7312yes—
1759C4⋊Q8—732no—
1760C4⋊Q8—732no—
1761C4⋊Q8—732no—
1762C4⋊Q8—734no—
1763C4⋊Q8—734no—
1764C4⋊Q8—734no—
1765C4⋊Q8—734no—
1766C4⋊Q8—732no—
1767C4⋊Q8—732no—
1768C4⋊Q8—732no—
1769C4⋊Q8—734no—
1770C4⋊Q8—734no—
1771C4⋊Q8—734no—
1772C4⋊Q8—732no—
1773C4⋊Q8C22×D7312yescomplemented
1774C4⋊Q8C22×D7314yescomplemented
1775#126—734no—
1776#126—734no—
1777#126—734no—
1778#126—734no—
1779#126—734no—
1780#126—734no—
1781#126—734no—
1782#126—734no—
1783#126—734no—
1784#126—734no—
1785#126—734no—
1786#126—734no—
1787#126—734no—
1788#126—734no—
1789#126—734no—
1790#126—734no—
1791#126—734no—
1792#126—734no—
1793#126—734no—
1794#126—734no—
1795#125—732no—
1796#125—732no—
1797#125—732no—
1798#125—734no—
1799#125—734no—
1800#125—734no—
1801#125—734no—
1802#125—734no—
1803#125—734no—
1804#125—734no—
1805#125—734no—
1806#125—734no—
1807#125—734no—
1808#125—734no—
1809#125—734no—
1810#125—734no—
1811#125—734no—
1812#125—732no—
1813#125—734no—
1814#125—734no—
1815#124—732no—
1816#124—734no—
1817#124—732no—
1818#124—732no—
1819#124—734no—
1820#124—734no—
1821#124—734no—
1822#124—734no—
1823#124—734no—
1824#124—734no—
1825#124—734no—
1826#124—734no—
1827#124—734no—
1828#124—734no—
1829#124C22×D7314yes—
1830#124C22×D7312yescomplemented
1831#123—732no—
1832#123—732no—
1833#123—732no—
1834#123—732no—
1835#123—732no—
1836#123—732no—
1837#123—732no—
1838#123—732no—
1839#123—732no—
1840#123—734no—
1841#123—734no—
1842#123—734no—
1843#123—734no—
1844#123—734no—
1845#123—734no—
1846#123—734no—
1847#123—734no—
1848#123—734no—
1849#123—732no—
1850#123—734no—
1851#123—734no—
1852#123—734no—
1853#123—734no—
1854#123—734no—
1855#123—734no—
1856#123—732no—
1857#123—732no—
1858#123—734no—
1859#123—734no—
1860#123—732no—
1861#123—732no—
1862#123—732no—
1863#123—734no—
1864#123—734no—
1865#123—734no—
1866#123—734no—
1867#123—734no—
1868#123—734no—
1869#123—734no—
1870#123—734no—
1871#123—734no—
1872#123—734no—
1873#123—734no—
1874#123C22×D7312yes—
1875#123C22×D7314yes—
1876#123C22×D7314yes—
1877#123C22×D7314yescomplemented
1878#123C22×D7314yescomplemented
1879C22⋊Q8—732no—
1880C22⋊Q8—731no—
1881C22⋊Q8—731no—
1882C22⋊Q8—732no—
1883C22⋊Q8—732no—
1884C22⋊Q8—732no—
1885C22⋊Q8—731no—
1886C22⋊Q8—731no—
1887C22⋊Q8—732no—
1888C22⋊Q8—732no—
1889C22⋊Q8—731no—
1890C22⋊Q8—731no—
1891C22⋊Q8—731no—
1892C22⋊Q8—731no—
1893C22⋊Q8—731no—
1894C22⋊Q8—731no—
1895C22⋊Q8—732no—
1896C22⋊Q8—732no—
1897C22⋊Q8—732no—
1898C22⋊Q8—732no—
1899C22⋊Q8—734no—
1900C22⋊Q8—734no—
1901C22⋊Q8—732no—
1902C22⋊Q8—734no—
1903C22⋊Q8—734no—
1904C22⋊Q8—734no—
1905C22⋊Q8—732no—
1906C22⋊Q8—731no—
1907C22⋊Q8—732no—
1908C22⋊Q8—732no—
1909C22⋊Q8—732no—
1910C22⋊Q8—731no—
1911C22⋊Q8—732no—
1912C22⋊Q8—732no—
1913C22⋊Q8—732no—
1914C22⋊Q8—734no—
1915C22⋊Q8—734no—
1916C22⋊Q8—732no—
1917C22⋊Q8—732no—
1918C22⋊Q8—734no—
1919C22⋊Q8—734no—
1920C22⋊Q8—734no—
1921C22⋊Q8—734no—
1922C22⋊Q8—734no—
1923C22⋊Q8—734no—
1924C22⋊Q8—734no—
1925C22⋊Q8—734no—
1926C22⋊Q8—732no—
1927C22⋊Q8—732no—
1928C22⋊Q8—734no—
1929C22⋊Q8—734no—
1930C22⋊Q8—732no—
1931C22⋊Q8—732no—
1932C22⋊Q8—734no—
1933C22⋊Q8—734no—
1934C22⋊Q8—732no—
1935C22⋊Q8—731no—
1936C22⋊Q8—731no—
1937C22⋊Q8—732no—
1938C22⋊Q8—734no—
1939C22⋊Q8—734no—
1940C22⋊Q8—734no—
1941C22⋊Q8—734no—
1942C22⋊Q8—734no—
1943C22⋊Q8—734no—
1944C22⋊Q8—734no—
1945C22⋊Q8—734no—
1946C22⋊Q8—734no—
1947C22⋊Q8—734no—
1948C22⋊Q8—734no—
1949C22⋊Q8—734no—
1950C22⋊Q8—734no—
1951C22⋊Q8—734no—
1952C22⋊Q8—734no—
1953C22⋊Q8—732no—
1954C22⋊Q8—732no—
1955C22⋊Q8—734no—
1956C22⋊Q8—734no—
1957C22⋊Q8—734no—
1958C22⋊Q8—734no—
1959C22⋊Q8—734no—
1960C22⋊Q8—734no—
1961C22⋊Q8—734no—
1962C22⋊Q8—734no—
1963C22⋊Q8—734no—
1964C22⋊Q8—734no—
1965C22⋊Q8—734no—
1966C22⋊Q8C22×D7312yes—
1967C22⋊Q8C22×D7312yes—
1968C22⋊Q8C22×D7312yes—
1969C22⋊Q8C22×D7312yes—
1970C22⋊Q8C22×D7311yescharacteristic
1971C22⋊Q8C22×D7311yescharacteristic
1972C22⋊Q8C22×D7314yes—
1973C22⋊Q8C22×D7312yescomplemented
1974C22⋊Q8C22×D7312yescomplemented
1975C22⋊Q8C22×D7312yescomplemented
1976C22⋊Q8C22×D7314yescomplemented
1977C22⋊Q8C22×D7312yescomplemented
1978C22⋊Q8C22×D7314yescomplemented
1979#121—731no—
1980#121—731no—
1981#121—732no—
1982#121—731no—
1983#121—731no—
1984#121—732no—
1985#121—732no—
1986#121—731no—
1987#121—731no—
1988#121—731no—
1989#121—731no—
1990#121—731no—
1991#121—731no—
1992#121—732no—
1993#121—732no—
1994#121—732no—
1995#121—734no—
1996#121—734no—
1997#121—732no—
1998#121—734no—
1999#121—734no—
2000#121—734no—
2001#121—734no—
2002#121—734no—
2003#121—734no—
2004#121—734no—
2005#121—734no—
2006#121—734no—
2007#121—731no—
2008#121—731no—
2009#121—732no—
2010#121—734no—
2011#121—731no—
2012#121—731no—
2013#121—732no—
2014#121—732no—
2015#121—734no—
2016#121—734no—
2017#121—734no—
2018#121—734no—
2019#121C22×D7311yescharacteristic
2020#121C22×D7311yescharacteristic
2021#121C22×D7314yes—
2022#121C22×D7314yes—
2023#121C22×D7314yes—
2024#121C22×D7312yescomplemented
2025#121C22×D7312yescomplemented
2026#121C22×D7314yescomplemented
2027#120—732no—
2028#120—734no—
2029#120—732no—
2030#120—732no—
2031#120—732no—
2032#120—732no—
2033#120—732no—
2034#120—732no—
2035#120—732no—
2036#120—732no—
2037#120—732no—
2038#120—732no—
2039#120—732no—
2040#120—734no—
2041#120—734no—
2042#120—732no—
2043#120—732no—
2044#120—732no—
2045#120C22×D7312yes—
2046#120C22×D7314yes—
2047C4×Q8—732no—
2048C4×Q8—732no—
2049C4×Q8—732no—
2050C4×Q8—732no—
2051C4×Q8—732no—
2052C4×Q8—732no—
2053C4×Q8—732no—
2054C4×Q8—732no—
2055C4×Q8—732no—
2056C4×Q8—734no—
2057C4×Q8—734no—
2058C4×Q8—734no—
2059C4×Q8—732no—
2060C4×Q8—732no—
2061C4×Q8—734no—
2062C4×Q8C22×D7312yescomplemented
2063C4×D4—732no—
2064C4×D4—732no—
2065C4×D4—734no—
2066C4×D4—734no—
2067C4×D4—734no—
2068C4×D4—734no—
2069C4×D4—732no—
2070C4×D4—732no—
2071C4×D4—732no—
2072C4×D4—732no—
2073C4×D4—732no—
2074C4×D4—732no—
2075C4×D4—732no—
2076C4×D4—732no—
2077C4×D4—732no—
2078C4×D4—732no—
2079C4×D4—732no—
2080C4×D4—732no—
2081C4×D4—732no—
2082C4×D4—732no—
2083C4×D4—732no—
2084C4×D4—732no—
2085C4×D4—732no—
2086C4×D4—732no—
2087C4×D4—732no—
2088C4×D4—732no—
2089C4×D4—732no—
2090C4×D4—732no—
2091C4×D4—734no—
2092C4×D4—734no—
2093C4×D4—734no—
2094C4×D4—734no—
2095C4×D4—734no—
2096C4×D4—734no—
2097C4×D4—734no—
2098C4×D4—734no—
2099C4×D4—734no—
2100C4×D4—734no—
2101C4×D4—734no—
2102C4×D4—732no—
2103C4×D4—732no—
2104C4×D4—734no—
2105C4×D4—734no—
2106C4×D4—732no—
2107C4×D4—732no—
2108C4×D4—732no—
2109C4×D4—732no—
2110C4×D4—732no—
2111C4×D4—734no—
2112C4×D4—734no—
2113C4×D4—734no—
2114C4×D4—734no—
2115C4×D4—734no—
2116C4×D4—734no—
2117C4×D4—734no—
2118C4×D4—732no—
2119C4×D4—732no—
2120C4×D4—734no—
2121C4×D4C22×D7312yes—
2122C4×D4C22×D7312yes—
2123C4×D4C22×D7314yes—
2124C4×D4C22×D7314yes—
2125C4×D4C22×D7314yescomplemented
2126C4×D4C22×D7312yescomplemented
2127#117—731no—
2128#117—731no—
2129#117—731no—
2130#117—732no—
2131#117—732no—
2132#117—731no—
2133#117—731no—
2134#117—734no—
2135#117—732no—
2136#117—732no—
2137#117—734no—
2138#117—731no—
2139#117—731no—
2140#117—734no—
2141#117—732no—
2142#117—734no—
2143#117—734no—
2144#117—732no—
2145#117—734no—
2146#117—734no—
2147#117—734no—
2148#117—734no—
2149#117—734no—
2150#117—732no—
2151#117—734no—
2152#117—734no—
2153#117C22×D7311yescharacteristic
2154#117C22×D7312yescomplemented
2155C2×C4⋊C4—731no—
2156C2×C4⋊C4—732no—
2157C2×C4⋊C4—732no—
2158C2×C4⋊C4—732no—
2159C2×C4⋊C4—732no—
2160C2×C4⋊C4—731no—
2161C2×C4⋊C4—731no—
2162C2×C4⋊C4—732no—
2163C2×C4⋊C4—732no—
2164C2×C4⋊C4—732no—
2165C2×C4⋊C4—732no—
2166C2×C4⋊C4—734no—
2167C2×C4⋊C4—734no—
2168C2×C4⋊C4—734no—
2169C2×C4⋊C4—734no—
2170C2×C4⋊C4—732no—
2171C2×C4⋊C4—732no—
2172C2×C4⋊C4—734no—
2173C2×C4⋊C4—734no—
2174C2×C4⋊C4—732no—
2175C2×C4⋊C4—732no—
2176C2×C4⋊C4—731no—
2177C2×C4⋊C4—731no—
2178C2×C4⋊C4—732no—
2179C2×C4⋊C4—732no—
2180C2×C4⋊C4—732no—
2181C2×C4⋊C4—734no—
2182C2×C4⋊C4C22×D7311yescharacteristic
2183C2×C4⋊C4C22×D7312yes—
2184C2×C4⋊C4C22×D7314yescomplemented
2185C2×C4⋊C4C22×D7312yescomplemented
2186C2×C22⋊C4—732no—
2187C2×C22⋊C4—732no—
2188C2×C22⋊C4—732no—
2189C2×C22⋊C4—732no—
2190C2×C22⋊C4—734no—
2191C2×C22⋊C4—732no—
2192C2×C22⋊C4—732no—
2193C2×C22⋊C4—732no—
2194C2×C22⋊C4—732no—
2195C2×C22⋊C4—734no—
2196C2×C22⋊C4—734no—
2197C2×C22⋊C4—734no—
2198C2×C22⋊C4—734no—
2199C2×C22⋊C4—734no—
2200C2×C22⋊C4—732no—
2201C2×C22⋊C4—732no—
2202C2×C22⋊C4—732no—
2203C2×C22⋊C4—732no—
2204C2×C22⋊C4—732no—
2205C2×C22⋊C4—734no—
2206C2×C22⋊C4C22×D7312yes—
2207C2×C22⋊C4C22×D7314yes—
2208C2×C42—732no—
2209C2×C42—732no—
2210C24—2922no—
2211C24—2922no—
2212C24—731no—
2213C24—732no—
2214C24—731no—
2215C24—731no—
2216C24—731no—
2217C24—731no—
2218C24—731no—
2219C24—1464no—
2220C24C23×D7311yescharacteristic
2221C24C23×D7312yes—
2222#41—24no—
2223#41—24no—
2224#41—24no—
2225#41—44no—
2226#41—44no—
2227#41—48no—
2228#41—42no—
2229#41—42no—
2230#41—44no—
2231#41—44no—
2232#41—2924no—
2233#41—2924no—
2234#41—2928no—
2235#41—2922no—
2236#41—2924no—
2237#41—2924no—
2238#41—2928no—
2239#41—2928no—
2240#41—2922no—
2241#41—1464no—
2242C2×Q8—24no—
2243C2×Q8—42no—
2244C2×Q8—44no—
2245C2×Q8—44no—
2246C2×Q8—2924no—
2247C2×Q8—2924no—
2248C2×Q8—2924no—
2249C2×Q8—2924no—
2250C2×Q8—2924no—
2251C2×Q8—2924no—
2252C2×Q8—2922no—
2253C2×Q8—2924no—
2254C2×Q8—734no—
2255C2×Q8—734no—
2256C2×Q8—734no—
2257C2×Q8—734no—
2258C2×Q8—732no—
2259C2×Q8—734no—
2260C2×Q8—732no—
2261C2×Q8—732no—
2262C2×Q8—731no—
2263C2×Q8—1464no—
2264C2×Q8C23×D7312yes—
2265C2×Q8C23×D7311yescharacteristic
2266C2×Q8C23×D7312yes—
2267C2×Q8C23×D7311yescharacteristic
2268C2×Q8C23×D7311yescharacteristic
2269C2×Q8C23×D7312yes—
2270C2×Q8C23×D7314yes—
2271C2×D4—42no—
2272C2×D4—44no—
2273C2×D4—2924no—
2274C2×D4—2924no—
2275C2×D4—2924no—
2276C2×D4—2922no—
2277C2×D4—734no—
2278C2×D4—732no—
2279C2×D4—732no—
2280C2×D4—732no—
2281C2×D4—734no—
2282C2×D4—732no—
2283C2×D4—732no—
2284C2×D4—732no—
2285C2×D4—732no—
2286C2×D4—732no—
2287C2×D4—732no—
2288C2×D4—732no—
2289C2×D4—732no—
2290C2×D4—732no—
2291C2×D4—732no—
2292C2×D4—732no—
2293C2×D4—732no—
2294C2×D4—732no—
2295C2×D4—732no—
2296C2×D4—732no—
2297C2×D4—731no—
2298C2×D4—1468no—
2299C2×D4—1468no—
2300C2×D4C23×D7312yes—
2301C2×D4C23×D7312yes—
2302C2×D4C23×D7312yes—
2303C2×D4C23×D7311yescharacteristic
2304C2×D4C23×D7311yescharacteristic
2305C2×D4C23×D7312yes—
2306C2×D4C23×D7311yescharacteristic
2307C2×D4C23×D7312yes—
2308C2×D4C23×D7314yes—
2309C2×D4C23×D7312yes—
2310C2×D4C23×D7312yes—
2311C2×D4C23×D7314yes—
2312C2×D4C23×D7312yes—
2313C22×C4—24no—
2314C22×C4—44no—
2315C22×C4—2922no—
2316C22×C4—2922no—
2317C22×C4—2924no—
2318C22×C4—2922no—
2319C22×C4—2922no—
2320C22×C4—2922no—
2321C22×C4—2922no—
2322C22×C4—2922no—
2323C22×C4—2922no—
2324C22×C4—2922no—
2325C22×C4—2922no—
2326C22×C4—2924no—
2327C22×C4—2924no—
2328C22×C4—2922no—
2329C22×C4—732no—
2330C22×C4—732no—
2331C22×C4—731no—
2332C22×C4—731no—
2333C22×C4—734no—
2334C22×C4—734no—
2335C22×C4—734no—
2336C22×C4—732no—
2337C22×C4—731no—
2338C22×C4—731no—
2339C22×C4—732no—
2340C22×C4—734no—
2341C22×C4—734no—
2342C22×C4—734no—
2343C22×C4—731no—
2344C22×C4—732no—
2345C22×C4—731no—
2346C22×C4—734no—
2347C22×C4—734no—
2348C22×C4—731no—
2349C22×C4—731no—
2350C22×C4—731no—
2351C22×C4—731no—
2352C22×C4—732no—
2353C22×C4—731no—
2354C22×C4—731no—
2355C22×C4—732no—
2356C22×C4—732no—
2357C22×C4—731no—
2358C22×C4—731no—
2359C22×C4—731no—
2360C22×C4—732no—
2361C22×C4—734no—
2362C22×C4—731no—
2363C22×C4—731no—
2364C22×C4—731no—
2365C22×C4—731no—
2366C22×C4—731no—
2367C22×C4—732no—
2368C22×C4—731no—
2369C22×C4—731no—
2370C22×C4—1464no—
2371C22×C4—1464no—
2372C22×C4C23×D7311yescharacteristic
2373C22×C4C23×D7312yes—
2374C22×C4C23×D7311yescharacteristic
2375C22×C4C23×D7311yescharacteristic
2376C22×C4C23×D7312yes—
2377C22×C4C23×D7312yes—
2378C22×C4C23×D7312yes—
2379C22×C4C23×D7311yescharacteristic
2380C22×C4C23×D7311yescharacteristic
2381C22×C4C23×D7312yes—
2382C22×C4C23×D7312yes—
2383C22×C4C23×D7314yes—
2384C22×C4C23×D7314yes—
2385C22×C4C23×D7314yes—
2386C22×C4C23×D7312yes—
2387C22×C4C23×D7312yes—
2388C22×C4C23×D7311yescharacteristic
2389C4⋊C4—734no—
2390C4⋊C4—734no—
2391C4⋊C4—732no—
2392C4⋊C4—732no—
2393C4⋊C4—732no—
2394C4⋊C4—734no—
2395C4⋊C4—734no—
2396C4⋊C4—734no—
2397C4⋊C4—734no—
2398C4⋊C4—734no—
2399C4⋊C4—732no—
2400C4⋊C4—732no—
2401C4⋊C4—732no—
2402C4⋊C4—732no—
2403C4⋊C4—732no—
2404C4⋊C4—732no—
2405C4⋊C4—732no—
2406C4⋊C4—732no—
2407C4⋊C4—732no—
2408C4⋊C4—732no—
2409C4⋊C4—732no—
2410C4⋊C4—734no—
2411C4⋊C4—734no—
2412C4⋊C4—734no—
2413C4⋊C4—734no—
2414C4⋊C4—734no—
2415C4⋊C4—734no—
2416C4⋊C4—734no—
2417C4⋊C4—734no—
2418C4⋊C4—734no—
2419C4⋊C4—734no—
2420C4⋊C4—734no—
2421C4⋊C4—734no—
2422C4⋊C4—734no—
2423C4⋊C4—732no—
2424C4⋊C4—732no—
2425C4⋊C4—734no—
2426C4⋊C4—731no—
2427C4⋊C4—731no—
2428C4⋊C4—731no—
2429C4⋊C4—734no—
2430C4⋊C4—731no—
2431C4⋊C4—731no—
2432C4⋊C4—731no—
2433C4⋊C4—732no—
2434C4⋊C4—732no—
2435C4⋊C4—732no—
2436C4⋊C4—732no—
2437C4⋊C4—734no—
2438C4⋊C4—734no—
2439C4⋊C4—734no—
2440C4⋊C4—734no—
2441C4⋊C4—734no—
2442C4⋊C4—734no—
2443C4⋊C4C23×D7312yes—
2444C4⋊C4C23×D7314yes—
2445C4⋊C4C23×D7312yes—
2446C4⋊C4C23×D7314yes—
2447C4⋊C4C23×D7311yescharacteristic
2448C4⋊C4C23×D7312yes—
2449C4⋊C4C23×D7314yes—
2450C4⋊C4C23×D7311yescharacteristic
2451C4⋊C4C23×D7312yes—
2452C4⋊C4C23×D7314yes—
2453C4⋊C4C23×D7314yes—
2454C4⋊C4C23×D7314yes—
2455C22⋊C4—734no—
2456C22⋊C4—732no—
2457C22⋊C4—734no—
2458C22⋊C4—732no—
2459C22⋊C4—732no—
2460C22⋊C4—732no—
2461C22⋊C4—732no—
2462C22⋊C4—732no—
2463C22⋊C4—732no—
2464C22⋊C4—732no—
2465C22⋊C4—732no—
2466C22⋊C4—732no—
2467C22⋊C4—732no—
2468C22⋊C4—734no—
2469C22⋊C4—734no—
2470C22⋊C4—734no—
2471C22⋊C4—732no—
2472C22⋊C4—732no—
2473C22⋊C4—732no—
2474C22⋊C4—732no—
2475C22⋊C4—732no—
2476C22⋊C4—732no—
2477C22⋊C4—734no—
2478C22⋊C4—734no—
2479C22⋊C4—734no—
2480C22⋊C4—734no—
2481C22⋊C4—734no—
2482C22⋊C4—734no—
2483C22⋊C4—732no—
2484C22⋊C4—732no—
2485C22⋊C4—734no—
2486C22⋊C4—734no—
2487C22⋊C4—732no—
2488C22⋊C4—732no—
2489C22⋊C4—732no—
2490C22⋊C4—732no—
2491C22⋊C4—732no—
2492C22⋊C4—732no—
2493C22⋊C4—732no—
2494C22⋊C4—732no—
2495C22⋊C4—732no—
2496C22⋊C4—732no—
2497C22⋊C4—732no—
2498C22⋊C4—732no—
2499C22⋊C4—732no—
2500C22⋊C4—732no—
2501C22⋊C4—734no—
2502C22⋊C4—734no—
2503C22⋊C4—732no—
2504C22⋊C4—732no—
2505C22⋊C4—734no—
2506C22⋊C4—734no—
2507C22⋊C4C23×D7314yes—
2508C22⋊C4C23×D7314yes—
2509C22⋊C4C23×D7312yes—
2510C22⋊C4C23×D7312yes—
2511C22⋊C4C23×D7312yes—
2512C22⋊C4C23×D7312yes—
2513C22⋊C4C23×D7312yes—
2514C22⋊C4C23×D7314yes—
2515C22⋊C4C23×D7314yes—
2516C22⋊C4C23×D7314yes—
2517C22⋊C4C23×D7314yes—
2518C22⋊C4C23×D7314yes—
2519C42—732no—
2520C42—732no—
2521C42—732no—
2522C42—732no—
2523C42—732no—
2524C42—732no—
2525C42—732no—
2526C42—734no—
2527C42—734no—
2528C42—734no—
2529C42—734no—
2530C42—734no—
2531C42—734no—
2532C42—734no—
2533C42C23×D7312yes—
2534C42C23×D7314yes—
2535C23—22no—
2536C23—22no—
2537C23—24no—
2538C23—41no—
2539C23—42no—
2540C23—42no—
2541C23—2921no—
2542C23—2921no—
2543C23—2921no—
2544C23—2921no—
2545C23—2921no—
2546C23—2921no—
2547C23—2921no—
2548C23—2922no—
2549C23—2922no—
2550C23—29216no—
2551C23—734no—
2552C23—731no—
2553C23—731no—
2554C23—731no—
2555C23—731no—
2556C23—732no—
2557C23—1462no—
2558C23—1462no—
2559C23—1462no—
2560C23—1462no—
2561C23—1462no—
2562C23—1464no—
2563C23—1462no—
2564C23—1462no—
2565C23—1462no—
2566C23—1462no—
2567C23—1462no—
2568C23C24×D7311yescharacteristic
2569C23C24×D7312yes—
2570C23C24×D7312yes—
2571C23C24×D7312yes—
2572C23C24×D7311yescharacteristic
2573C23C24×D7311yescharacteristic
2574Q8—24no—
2575Q8—24no—
2576Q8—22no—
2577Q8—22no—
2578Q8—22no—
2579Q8—44no—
2580Q8—42no—
2581Q8—2924no—
2582Q8—2924no—
2583Q8—2924no—
2584Q8—2922no—
2585Q8—2924no—
2586Q8—2924no—
2587Q8—1464no—
2588Q8—1464no—
2589Q8—1462no—
2590D4—24no—
2591D4—24no—
2592D4—24no—
2593D4—24no—
2594D4—22no—
2595D4—22no—
2596D4—22no—
2597D4—42no—
2598D4—42no—
2599D4—42no—
2600D4—42no—
2601D4—44no—
2602D4—44no—
2603D4—2922no—
2604D4—2922no—
2605D4—2922no—
2606D4—2922no—
2607D4—2922no—
2608D4—2922no—
2609D4—2924no—
2610D4—2924no—
2611D4—1464no—
2612D4—1464no—
2613D4—1464no—
2614D4—1464no—
2615D4—1464no—
2616D4—1464no—
2617D4—1464no—
2618D4—1464no—
2619D4—1464no—
2620D4—1464no—
2621D4—1464no—
2622D4—1464no—
2623D4—1462no—
2624C2×C4—22no—
2625C2×C4—24no—
2626C2×C4—22no—
2627C2×C4—22no—
2628C2×C4—22no—
2629C2×C4—22no—
2630C2×C4—24no—
2631C2×C4—24no—
2632C2×C4—24no—
2633C2×C4—42no—
2634C2×C4—42no—
2635C2×C4—42no—
2636C2×C4—42no—
2637C2×C4—44no—
2638C2×C4—44no—
2639C2×C4—44no—
2640C2×C4—2921no—
2641C2×C4—2921no—
2642C2×C4—2921no—
2643C2×C4—2921no—
2644C2×C4—2921no—
2645C2×C4—2921no—
2646C2×C4—2921no—
2647C2×C4—2921no—
2648C2×C4—2922no—
2649C2×C4—2924no—
2650C2×C4—2924no—
2651C2×C4—2922no—
2652C2×C4—2924no—
2653C2×C4—2922no—
2654C2×C4—2924no—
2655C2×C4—2924no—
2656C2×C4—2921no—
2657C2×C4—2921no—
2658C2×C4—2921no—
2659C2×C4—2921no—
2660C2×C4—2922no—
2661C2×C4—2922no—
2662C2×C4—2922no—
2663C2×C4—2924no—
2664C2×C4—2924no—
2665C2×C4—2924no—
2666C2×C4—732no—
2667C2×C4—732no—
2668C2×C4—732no—
2669C2×C4—732no—
2670C2×C4—732no—
2671C2×C4—732no—
2672C2×C4—731no—
2673C2×C4—734no—
2674C2×C4—734no—
2675C2×C4—732no—
2676C2×C4—731no—
2677C2×C4—731no—
2678C2×C4—731no—
2679C2×C4—1468no—
2680C2×C4—1464no—
2681C2×C4—1462no—
2682C2×C4—1462no—
2683C2×C4—1464no—
2684C2×C4—1464no—
2685C2×C4—1462no—
2686C2×C4—1462no—
2687C2×C4—1462no—
2688C2×C4—1462no—
2689C2×C4—1462no—
2690C2×C4—1462no—
2691C2×C4—1462no—
2692C2×C4—1462no—
2693C2×C4—1464no—
2694C2×C4#1455663614yes—
2695C2×C4C24×D7311yescharacteristic
2696C2×C4C24×D7312yes—
2697C2×C4C24×D7312yes—
2698C2×C4C24×D7314yes—
2699C2×C4C24×D7312yes—
2700C2×C4C24×D7312yes—
2701C2×C4C24×D7314yes—
2702C2×C4C24×D7312yes—
2703C2×C4C24×D7311yescharacteristic
2704C2×C4C24×D7311yescharacteristic
2705C2×C4C24×D7311yescharacteristic
2706C22—21no—
2707C22—21no—
2708C22—21no—
2709C22—21no—
2710C22—21no—
2711C22—22no—
2712C22—22no—
2713C22—22no—
2714C22—22no—
2715C22—22no—
2716C22—22no—
2717C22—21no—
2718C22—22no—
2719C22—22no—
2720C22—22no—
2721C22—21no—
2722C22—44no—
2723C22—84no—
2724C22—2924no—
2725C22—2924no—
2726C22—2924no—
2727C22—2924no—
2728C22—2924no—
2729C22—5844no—
2730C22—732no—
2731C22—732no—
2732C22—732no—
2733C22—1468no—
2734C22—1462no—
2735C22—1461no—
2736C22—1462no—
2737C22—1461no—
2738C22—1462no—
2739C22—1461no—
2740C22—1461no—
2741C22—1461no—
2742C22—1461no—
2743C22—1461no—
2744C22—1461no—
2745C22—1461no—
2746C22C2×#1455663612yes—
2747C222−1+4×D7312yes—
2748C22C25×D7311yescharacteristic
2749C4—21no—
2750C4—21no—
2751C4—22no—
2752C4—22no—
2753C4—22no—
2754C4—24no—
2755C4—22no—
2756C4—24no—
2757C4—22no—
2758C4—1461no—
2759C4—1461no—
2760C4—1461no—
2761C4—1461no—
2762C4—1462no—
2763C4—1464no—
2764C4—1462no—
2765C4—1462no—
2766C4—1462no—
2767C4—1464no—
2768C4—1462no—
2769C4—1462no—
2770C4—1462no—
2771C4C2×#1455663612yes—
2772C4C2×#1455663612yes—
2773C2—22no—
2774C2—22no—
2775C2—41no—
2776C2—42no—
2777C2—42no—
2778C2—42no—
2779C2—2921no—
2780C2—2922no—
2781C2—1462no—
2782C2—1462no—
2783C2—1462no—
2784C2C22×#1455663611yescharacteristic
2785C2C2×2−1+4×D7311yescharacteristic
2786C2#585×D7311yescharacteristic
subgroupG/H
center, FrattiniC22C25×D73
commutator, socle, cosocleC22×C73C26
FittingC73×#3489C2
hypercenter#3489D73
hypocenterC73#62819
LCSG ▷ C22×C73 ▷ C73
UCSC1 ◁ C22 ◁ #3489

Complements

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

NH ≅ G/Ntype
1. #22624226C2semidirect
2. #22624222C2semidirect
3. #22624214C2semidirect
4. #22624212C2semidirect
5. #22624174C2semidirect
6. #22624172C2semidirect
7. #22624151C2semidirect
8. #22624149C2semidirect
9. #22624132C2semidirect
10. #22624128C2semidirect
11. #22623983C2semidirect
12. #22623974C2semidirect
13. #22623973C2semidirect
14. #22623968C2semidirect
15. #22623759C2semidirect
16. #22623758C2semidirect
17. #22623727C2semidirect
18. #22623726C2semidirect
19. #22623685C2semidirect
20. #22623684C2semidirect
21. #22623680C2semidirect
22. #22623677C2semidirect
23. #22623638C2semidirect
24. #22623634C2semidirect
25. #22623633C2semidirect
26. #22623613C2semidirect
27. #22623611C2semidirect
28. #22623606C2semidirect
29. #22623604C2semidirect
30. #22623580C2semidirect
31. #22623579C2semidirect
32. C2×#17989094C2semidirect
33. #525×D73C2semidirect
34. C2×C22⋊Q8×D73C2semidirect
35. C73×#3489C2semidirect
36. C2×#14556638C22semidirect
37. C2×#41×D73C22semidirect
38. C22×Q8×D73C22semidirect
40. #17989340C22semidirect
41. #17989338C22semidirect
42. #17989337C22semidirect
43. #17989336C22semidirect
44. #17989334C22semidirect
45. #17989332C22semidirect
46. #17989332C22semidirect
47. #17989332C22semidirect
48. #17989308C22semidirect
49. #17989308C22semidirect
50. #17989307C22semidirect
51. #17989305C22semidirect
52. #17989298C22semidirect
53. #17989297C22semidirect
54. #17989296C22semidirect
55. #17989295C22semidirect
56. #17989295C22semidirect
57. #17989295C22semidirect
58. #17989295C22semidirect
59. #17989294C22semidirect
60. #17989292C22semidirect
61. #17989292C22semidirect
62. #17989292C22semidirect
63. #17989292C22semidirect
64. #17989291C22semidirect
65. #17989291C22semidirect
66. #17989291C22semidirect
67. #17989291C22semidirect
68. #17989287C22semidirect
69. #17989287C22semidirect
70. #17989284C22semidirect
71. #17989284C22semidirect
72. #17989284C22semidirect
73. #17989282C22semidirect
74. #17989282C22semidirect
75. #17989281C22semidirect
76. #17989279C22semidirect
77. #17989279C22semidirect
78. #17989278C22semidirect
79. #17989277C22semidirect
80. #17989277C22semidirect
81. #17989277C22semidirect
82. #17989276C22semidirect
83. #17989276C22semidirect
84. #17989274C22semidirect
85. #17989274C22semidirect
86. #17989272C22semidirect
87. #17989272C22semidirect
88. #17989271C22semidirect
89. #17989271C22semidirect
90. #17989271C22semidirect
91. #17989271C22semidirect
92. #17989268C22semidirect
93. #17989268C22semidirect
94. #17989267C22semidirect
95. #17989266C22semidirect
96. #17989266C22semidirect
97. #17989266C22semidirect
98. #17989265C22semidirect
99. #17989265C22semidirect
100. #17989264C22semidirect
101. #17989263C22semidirect
102. #17989263C22semidirect
103. #17989260C22semidirect
104. #17989252C22semidirect
105. #17989252C22semidirect
106. Q8×C22⋊D73C22semidirect
107. Q8×C22⋊D73C22semidirect
108. Q8×C22⋊D73C22semidirect
109. Q8×C22⋊D73C22semidirect
110. Q8×C22⋊D73C22semidirect
111. Q8×C22⋊D73C22semidirect
112. #17989250C22semidirect
113. #17989250C22semidirect
114. #17989250C22semidirect
115. #17989248C22semidirect
116. #17989247C22semidirect
117. #17989247C22semidirect
118. #17989245C22semidirect
119. #17989245C22semidirect
120. #17989244C22semidirect
121. #17989244C22semidirect
122. #17989244C22semidirect
123. #17989244C22semidirect
124. #17989244C22semidirect
125. #17989243C22semidirect
126. #17989242C22semidirect
127. #17989239C22semidirect
128. #17989238C22semidirect
129. #17989237C22semidirect
130. #17989237C22semidirect
131. #17989237C22semidirect
132. #17989236C22semidirect
133. #17989236C22semidirect
134. #17989236C22semidirect
135. #17989236C22semidirect
136. #17989234C22semidirect
137. #17989234C22semidirect
138. #17989231C22semidirect
139. #17989231C22semidirect
140. #17989227C22semidirect
141. #17989226C22semidirect
142. #17989226C22semidirect
143. #17989225C22semidirect
144. #17989225C22semidirect
145. #17989224C22semidirect
146. #17989218C22semidirect
147. #17989216C22semidirect
148. #17989215C22semidirect
149. #17989214C22semidirect
150. #17989214C22semidirect
151. #17989213C22semidirect
153. #17989212C22semidirect
154. #17989210C22semidirect
155. #17989207C22semidirect
156. #17989206C22semidirect
157. #17989205C22semidirect
158. #17989204C22semidirect
159. #17989204C22semidirect
160. #17989202C22semidirect
161. #17989201C22semidirect
162. #17989198C22semidirect
163. #17989197C22semidirect
164. #17989197C22semidirect
165. #17989195C22semidirect
166. #17989184C22semidirect
167. #17989183C22semidirect
168. #17989183C22semidirect
169. #17989182C22semidirect
170. #17989182C22semidirect
171. #17989180C22semidirect
172. #17989180C22semidirect
173. #17989180C22semidirect
174. #17989180C22semidirect
175. #17989179C22semidirect
176. #17989179C22semidirect
177. #17989179C22semidirect
178. #17989173C22semidirect
179. #17989172C22semidirect
180. #17989171C22semidirect
181. #17989169C22semidirect
182. #17989169C22semidirect
183. #17989169C22semidirect
184. #17989166C22semidirect
185. #17989166C22semidirect
186. #17989165C22semidirect
187. #17989165C22semidirect
188. #17989165C22semidirect
189. #17989161C22semidirect
190. #17989161C22semidirect
191. #17989160C22semidirect
192. #17989159C22semidirect
193. #17989158C22semidirect
194. #17989158C22semidirect
195. #17989158C22semidirect
196. #17989158C22semidirect
198. #17989142C22semidirect
199. #17989141C22semidirect
200. #17989139C22semidirect
201. #17989139C22semidirect
202. #17989123C22semidirect
203. #17989119C22semidirect
204. #17989118C22semidirect
205. #17989116C22semidirect
207. #17989100C22semidirect
208. #17989099C22semidirect
210. #17989098C22semidirect
212. #17989097C22semidirect
213. #17989097C22semidirect
214. #17989097C22semidirect
216. #17989096C22semidirect
217. #17989096C22semidirect
218. #17989095C22semidirect
219. #17989095C22semidirect
226. #17989094C22semidirect
227. #17989094C22semidirect
228. #17989094C22semidirect
229. #17989094C22semidirect
230. #17989094C22semidirect
231. #17989094C22semidirect
232. #17989094C22semidirect
233. #17989094C22semidirect
234. #17989094C22semidirect
236. C2×#14556572C22semidirect
237. #123×D73C22semidirect
238. C2×#14556571C22semidirect
239. C2×#14556570C22semidirect
240. C2×#14556570C22semidirect
241. C2×#14556569C22semidirect
242. C2×#14556568C22semidirect
244. C2×#14556567C22semidirect
245. C2×#14556567C22semidirect
246. C2×#14556567C22semidirect
250. C22⋊Q8×D73C22semidirect
251. C22⋊Q8×D73C22semidirect
252. C22⋊Q8×D73C22semidirect
253. C22⋊Q8×D73C22semidirect
254. C22⋊Q8×D73C22semidirect
255. C22⋊Q8×D73C22semidirect
256. C22⋊Q8×D73C22semidirect
257. C22⋊Q8×D73C22semidirect
259. C2×#14556562C22semidirect
261. #121×D73C22semidirect
264. #17989070C22semidirect
265. #17989070C22semidirect
266. #17989068C22semidirect
267. #17989068C22semidirect
268. #17989066C22semidirect
269. #17989065C22semidirect
270. #17989064C22semidirect
274. C2×C4×C22⋊D73C22semidirect
276. C4×D4×D73C22semidirect
277. C2×#14556550C22semidirect
278. #117×D73C22semidirect
279. C2×C4⋊C4×D73C22semidirect
280. C2×C4⋊C4×D73C22semidirect
282. C2×2−1+4×C73C22semidirect
283. C22×#41×C73C22semidirect
284. D4×Q8×C73C22semidirect
285. #548×C73C22semidirect
286. #547×C73C22semidirect
287. #547×C73C22semidirect
288. #546×C73C22semidirect
289. #546×C73C22semidirect
290. #537×C73C22semidirect
291. #537×C73C22semidirect
292. #536×C73C22semidirect
293. #536×C73C22semidirect
295. #525×C73C22semidirect
296. C2×C22⋊Q8×C73C22semidirect
297. C2×C22⋊Q8×C73C22semidirect
298. #520×C73C22semidirect
305. C2×#11924028C23semidirect
310. C2×#11924027C23semidirect
314. C22×Dic146C23semidirect
321. C2×Q8×D73C23semidirect
345. #14556591C23semidirect
346. #14556590C23semidirect
347. #14556590C23semidirect
348. #14556590C23semidirect
349. #14556590C23semidirect
350. #14556590C23semidirect
351. #14556590C23semidirect
352. #14556589C23semidirect
353. #14556589C23semidirect
354. #14556589C23semidirect
355. #14556589C23semidirect
356. #14556589C23semidirect
357. #14556589C23semidirect
358. #14556589C23semidirect
362. #14556586C23semidirect
363. #14556586C23semidirect
365. #14556585C23semidirect
370. #14556584C23semidirect
371. #14556584C23semidirect
372. #14556584C23semidirect
373. #14556584C23semidirect
374. #14556584C23semidirect
375. #14556584C23semidirect
376. #14556584C23semidirect
377. #14556584C23semidirect
378. #14556584C23semidirect
379. #14556583C23semidirect
380. #14556583C23semidirect
381. #14556583C23semidirect
382. #14556582C23semidirect
383. #14556582C23semidirect
384. #14556582C23semidirect
385. #14556582C23semidirect
386. #14556582C23semidirect
387. #14556582C23semidirect
388. #14556581C23semidirect
389. #14556581C23semidirect
390. #14556581C23semidirect
391. #14556581C23semidirect
392. #14556581C23semidirect
393. #14556581C23semidirect
394. #14556581C23semidirect
395. #14556581C23semidirect
396. #14556581C23semidirect
397. #14556581C23semidirect
398. #14556581C23semidirect
400. #14556580C23semidirect
403. #14556578C23semidirect
404. #14556578C23semidirect
405. #14556578C23semidirect
406. #14556578C23semidirect
411. #14556577C23semidirect
412. #14556577C23semidirect
424. #14556574C23semidirect
425. #14556574C23semidirect
426. #14556574C23semidirect
435. #14556573C23semidirect
436. #14556573C23semidirect
437. #14556573C23semidirect
452. #14556572C23semidirect
453. #14556572C23semidirect
454. #14556572C23semidirect
455. #14556572C23semidirect
464. #14556571C23semidirect
473. #14556570C23semidirect
474. #14556570C23semidirect
475. #14556570C23semidirect
476. #14556570C23semidirect
477. #14556570C23semidirect
478. #14556570C23semidirect
479. #14556570C23semidirect
480. #14556570C23semidirect
481. #14556570C23semidirect
482. #14556570C23semidirect
483. #14556570C23semidirect
484. #14556570C23semidirect
485. #14556570C23semidirect
497. #14556569C23semidirect
498. #14556569C23semidirect
499. #14556569C23semidirect
509. #14556568C23semidirect
510. #14556568C23semidirect
511. #14556568C23semidirect
512. #14556568C23semidirect
513. #14556568C23semidirect
514. #14556568C23semidirect
515. #14556568C23semidirect
516. #14556568C23semidirect
538. #14556567C23semidirect
539. #14556567C23semidirect
540. #14556567C23semidirect
541. #14556567C23semidirect
542. #14556567C23semidirect
548. #14556565C23semidirect
561. #14556563C23semidirect
562. #14556563C23semidirect
581. #14556562C23semidirect
582. #14556562C23semidirect
601. Q8×Dic73C23semidirect
602. Q8×Dic73C23semidirect
603. Q8×Dic73C23semidirect
604. Q8×Dic73C23semidirect
605. Q8×Dic73C23semidirect
606. Q8×Dic73C23semidirect
607. C4×Dic146C23semidirect
608. C4×Dic146C23semidirect
609. C4×Dic146C23semidirect
610. #14556556C23semidirect
611. #14556556C23semidirect
612. #14556556C23semidirect
613. #14556556C23semidirect
614. #14556556C23semidirect
615. #14556556C23semidirect
624. D4×Dic73C23semidirect
625. D4×Dic73C23semidirect
626. D4×Dic73C23semidirect
631. #14556553C23semidirect
661. C4×C22⋊D73C23semidirect
662. C4×C22⋊D73C23semidirect
682. #14556550C23semidirect
683. #14556550C23semidirect
684. #14556550C23semidirect
689. #14556549C23semidirect
690. #14556549C23semidirect
698. #14556547C23semidirect
699. #14556547C23semidirect
704. C2×C4⋊Dic73C23semidirect
705. C2×C4⋊Dic73C23semidirect
711. C2×#11924007C23semidirect
712. C2×#11924007C23semidirect
725. C4⋊C4×D73C23semidirect
726. C4⋊C4×D73C23semidirect
759. C2×#41×C73C23semidirect
760. C2×#41×C73C23semidirect
763. C22×Q8×C73C23semidirect
764. C22×Q8×C73C23semidirect
769. C4⋊Q8×C73C23semidirect
770. C4⋊Q8×C73C23semidirect
772. #124×C73C23semidirect
776. #123×C73C23semidirect
777. #123×C73C23semidirect
785. C22⋊Q8×C73C23semidirect
786. C22⋊Q8×C73C23semidirect
787. C22⋊Q8×C73C23semidirect
788. C22⋊Q8×C73C23semidirect
789. C22⋊Q8×C73C23semidirect
790. C22⋊Q8×C73C23semidirect
796. #121×C73C23semidirect
797. #121×C73C23semidirect
798. #121×C73C23semidirect
801. C4×Q8×C73C23semidirect
806. C4×D4×C73C23semidirect
807. C4×D4×C73C23semidirect
809. #117×C73C23semidirect
812. C2×C4⋊C4×C73C23semidirect
813. C2×C4⋊C4×C73C23semidirect
1174. C22×D732−1+4semidirect
1423. #3489D73semidirect
1429. C73#62819semidirect
1431. C2×2−1+4C2×D73semidirect
1433. C22×#41C2×D73semidirect
1511. D4×Q8C2×D73semidirect
1523. #548C2×D73semidirect
1534. #547C2×D73semidirect
1535. #547C2×D73semidirect
1546. #546C2×D73semidirect
1547. #546C2×D73semidirect
1591. #537C2×D73semidirect
1592. #537C2×D73semidirect
1601. #536C2×D73semidirect
1602. #536C2×D73semidirect
1643. #525C2×D73semidirect
1666. C2×C22⋊Q8C2×D73semidirect
1667. C2×C22⋊Q8C2×D73semidirect
1679. #520C2×D73semidirect
1716. C2×#41C22×D73semidirect
1717. C2×#41C22×D73semidirect
1730. C22×Q8C22×D73semidirect
1731. C22×Q8C22×D73semidirect
1773. C4⋊Q8C22×D73semidirect
1774. C4⋊Q8C22×D73semidirect
1830. #124C22×D73semidirect
1877. #123C22×D73semidirect
1878. #123C22×D73semidirect
1973. C22⋊Q8C22×D73semidirect
1974. C22⋊Q8C22×D73semidirect
1975. C22⋊Q8C22×D73semidirect
1976. C22⋊Q8C22×D73semidirect
1977. C22⋊Q8C22×D73semidirect
1978. C22⋊Q8C22×D73semidirect
2024. #121C22×D73semidirect
2025. #121C22×D73semidirect
2026. #121C22×D73semidirect
2062. C4×Q8C22×D73semidirect
2125. C4×D4C22×D73semidirect
2126. C4×D4C22×D73semidirect
2154. #117C22×D73semidirect
2184. C2×C4⋊C4C22×D73semidirect
2185. C2×C4⋊C4C22×D73semidirect

Maximal subgroups

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

subgroupindex
#226242262
#226242222
#226242142
#226242122
#226241742
#226241722
#226241512
#226241492
#226241322
#226241282
#226239832
#226239742
#226239732
#226239682
#226237592
#226237582
#226237272
#226237262
#226236852
#226236842
#226236802
#226236772
#226236382
#226236342
#226236332
#226236132
#226236112
#226236062
#226236042
#226235802
#226235792
C2×#179890942
#525×D732
C2×C22⋊Q8×D732
C73×#34892
#6281973