Finite Group Databasebeta

← #33966843

Subgroups — #33966843

Order 18688.

1758 conjugacy classes of subgroups.

The subgroup lattice has 1614 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22623751C211yesmaximal, characteristic, complemented
2#22623730C211yesmaximal, characteristic, complemented
3#22622888C211yesmaximal, characteristic, complemented
4#22622887C211yesmaximal, characteristic, complemented
5#22622887C211yesmaximal, characteristic, complemented
6#22622885C211yesmaximal, characteristic, complemented
7#22622882C211yesmaximal, characteristic, complemented
8#22622882C211yesmaximal, characteristic, complemented
9#22622876C211yesmaximal, characteristic, complemented
10#22622869C211yesmaximal, characteristic, complemented
11#22622857C211yesmaximal, characteristic, complemented
12#22622847C211yesmaximal, characteristic, complemented
13#22622828C211yesmaximal, characteristic, complemented
14#22622825C211yesmaximal, characteristic, complemented
15#22622808C211yesmaximal, characteristic, complemented
16#22622801C211yesmaximal, characteristic, complemented
17#22622793C211yesmaximal, characteristic, complemented
18#22620479C211yesmaximal, characteristic, complemented
19#22620464C211yesmaximal, characteristic, complemented
20#22620460C211yesmaximal, characteristic, complemented
21#22619788C211yesmaximal, characteristic, complemented
22#22619783C211yesmaximal, characteristic, complemented
23#22619759C211yesmaximal, characteristic, complemented
24#22619757C211yesmaximal, characteristic, complemented
25#22619716C211yesmaximal, characteristic, complemented
26#478×D73C211yesmaximal, characteristic, complemented
27#22618873C211yesmaximal, characteristic, complemented
28#22618756C211yesmaximal, characteristic
29#22618756C211yesmaximal, characteristic
30C4×#14556615C211yesmaximal, characteristic
31C73×#3380C211yesmaximal, characteristic, complemented
32C2×#14556615C2211yescharacteristic
33#17989315C2211yescharacteristic, complemented
34#17989314C2211yescharacteristic, complemented
35#17989314C2211yescharacteristic, complemented
36#17989312C2211yescharacteristic, complemented
37#17989297C2211yescharacteristic
38#17989296C2211yescharacteristic
39#17989296C2211yescharacteristic
40#17989296C2211yescharacteristic, complemented
41#17989296C2211yescharacteristic, complemented
42#17989295—21no—
43#17989294C2211yescharacteristic, complemented
44#17989293C2211yescharacteristic
45#17989293C2211yescharacteristic
46#17989292—21no—
47#17989292—21no—
48#17989291—21no—
49#17989291—21no—
50#17989291—21no—
51#17989291—21no—
52D4×Dic146C2211yescharacteristic
53#17989252C2211yescharacteristic
54#17989250—21no—
55#17989217C2211yescharacteristic
56#17989217C2211yescharacteristic
57#17989216—21no—
58#17989216—21no—
59#17989214C2211yescharacteristic
60#17989214C2211yescharacteristic
61#17989212—21no—
62#17989212—21no—
63#17989143C2211yescharacteristic
64#17989141C2211yescharacteristic
65#17989139—21no—
66C2×#14556581—21no—
67#125×D73C2211yescharacteristic
68C2×#14556569—21no—
69C22⋊Q8×D73—21no—
70#17989066C2211yescharacteristic
71#17989066C2211yescharacteristic
72#17989059C2211yescharacteristic
73#17989059C2211yescharacteristic
74C4×#11924027C2211yescharacteristic
75C4×D4×D73C2211yescharacteristic
76#17988997C2211yescharacteristic, complemented
77#17988997C2211yescharacteristic, complemented
78#17988995C2211yescharacteristic, complemented
79#17988995C2211yescharacteristic, complemented
80#17988995C2211yescharacteristic, complemented
81#17988995C2211yescharacteristic, complemented
82#17988995C2211yescharacteristic, complemented
83#17988995C2211yescharacteristic, complemented
84#17988994C2211yescharacteristic, complemented
85#17988994C2211yescharacteristic, complemented
86#17988993C2211yescharacteristic, complemented
87#17988993C2211yescharacteristic, complemented
88#17988991C2211yescharacteristic, complemented
89#17988989C2211yescharacteristic, complemented
90#17988989C2211yescharacteristic, complemented
91#17988988C2211yescharacteristic, complemented
92#17988987C2211yescharacteristic, complemented
93#17988986C2211yescharacteristic, complemented
94#17988986C2211yescharacteristic, complemented
95#17988985C2211yescharacteristic, complemented
96#17988984C2211yescharacteristic, complemented
97#17988897C2211yescharacteristic, complemented
98#17988897C2211yescharacteristic, complemented
99#17988895C2211yescharacteristic, complemented
100#17988895C2211yescharacteristic, complemented
101#17988891C2211yescharacteristic, complemented
102#17988891C2211yescharacteristic, complemented
103#17988890C2211yescharacteristic
104#17988890C2211yescharacteristic
105#17988889C2211yescharacteristic
106#17988889C2211yescharacteristic
107#17988888C2211yescharacteristic
108#17988888C2211yescharacteristic
109#17988887C2211yescharacteristic
110#17988887C2211yescharacteristic
111#17988887C2211yescharacteristic, complemented
112#17988887C2211yescharacteristic, complemented
113#17988886C2211yescharacteristic
114#17988886C2211yescharacteristic
115#17988885C2211yescharacteristic
116#17988885C2211yescharacteristic
117#17988885C2211yescharacteristic, complemented
118#17988885C2211yescharacteristic, complemented
119#17988884C2211yescharacteristic
120#17988884C2211yescharacteristic
121#17988883C2211yescharacteristic, complemented
122#17988881C2211yescharacteristic, complemented
123#17988881C2211yescharacteristic, complemented
124#17988877C2211yescharacteristic
125#17988876C2211yescharacteristic
126#17988876C2211yescharacteristic
127#17988875C2211yescharacteristic, complemented
128#17988875C2211yescharacteristic, complemented
129#17988871C2211yescharacteristic, complemented
130#17988871C2211yescharacteristic, complemented
131#17988869C2211yescharacteristic, complemented
132#17988868C2211yescharacteristic
133#17988867C2211yescharacteristic, complemented
134#17988865C2211yescharacteristic
135#17988865C2211yescharacteristic
136#17988865C2211yescharacteristic, complemented
137#17988865C2211yescharacteristic, complemented
138#17988864C2211yescharacteristic
139#17988718C2211yescharacteristic, complemented
140#17988717C2211yescharacteristic, complemented
141#17988717C2211yescharacteristic, complemented
142#17988717C2211yescharacteristic, complemented
143#17988716C2211yescharacteristic, complemented
144#17988716C2211yescharacteristic, complemented
145#17988711C2211yescharacteristic, complemented
146#17988699C2211yescharacteristic
147#17988699C2211yescharacteristic
148#17988699C2211yescharacteristic
149#17988697C2211yescharacteristic
150#17988697C2211yescharacteristic
151#17988696C2211yescharacteristic
152#17988687C2211yescharacteristic
153#17988687C2211yescharacteristic
154#17988686C2211yescharacteristic
155#17988686C2211yescharacteristic
156#17988686C2211yescharacteristic
157#17988684C2211yescharacteristic
158#17988678C2211yescharacteristic
159#17988678C2211yescharacteristic
160C4×#11924017C2211yescharacteristic
161C4×#11924017C2211yescharacteristic
162C4×#11924017C2211yescharacteristic
163C4×#11924016C2211yescharacteristic
164C4×#11924013C2211yescharacteristic
165#17988667C2211yescharacteristic
166#17988667C2211yescharacteristic
167#17988628C2211yescharacteristic
168#17988628C2211yescharacteristic
169#17988628C2211yescharacteristic
170#17988626C2211yescharacteristic
171#17988626C2211yescharacteristic
172#17988624C2211yescharacteristic
173#17988622C2211yescharacteristic
174#107×D73C2211yescharacteristic
175#106×D73C2211yescharacteristic
176#17988612C2211yescharacteristic
177#17988612C2211yescharacteristic
178C4⋊C8×D73C2211yescharacteristic
179#17988590C2211yescharacteristic
180#17988585C2211yescharacteristic
181#17988580C2211yescharacteristic
182#17988580C2211yescharacteristic
183#102×D73C2211yescharacteristic
184#102×D73C2211yescharacteristic
185#17988541C2211yescharacteristic
186#17988541C2211yescharacteristic
187C4×#11924011C2211yescharacteristic
188#554×C73C2211yescharacteristic
189#554×C73C2211yescharacteristic, complemented
190#500×C73C2211yescharacteristic, complemented
191#499×C73C2211yescharacteristic, complemented
192#499×C73C2211yescharacteristic, complemented
193#478×C73C2211yescharacteristic
194#478×C73C2211yescharacteristic
195#478×C73C2211yescharacteristic, complemented
196#478×C73C2211yescharacteristic, complemented
197#476×C73C2211yescharacteristic
198#476×C73C2211yescharacteristic, complemented
199C8×Q8×C73C2211yescharacteristic, complemented
200C4×D8×C73C2211yescharacteristic
201C4×D8×C73C2211yescharacteristic
202C4×D8×C73C2211yescharacteristic
203C2×#11924027C2311yescharacteristic
204C22×Dic146—21no—
205C2×Q8×D73—21no—
206C2×D4×D73C2311yescharacteristic
207C22×C4×D73—21no—
208#14556615Q818yescomplemented
209C2×#11924017C2311yescharacteristic
210C2×#11924016C2311yescharacteristic
211C2×#11924013C2311yescharacteristic
212C2×#11924011C2311yescharacteristic
213C2×#11924011C2311yescharacteristic
214C2×C8×D73C2311yescharacteristic
215C2×C8×D73C2311yescharacteristic
216#14556591C2311yescharacteristic
217#14556591C2311yescharacteristic
218#14556590—21no—
219#14556590—21no—
220#14556590—21no—
221#14556590—21no—
222#14556590D411yescharacteristic
223#14556590C2311yescharacteristic
224#14556590C2311yescharacteristic
225#14556590C2311yescharacteristic
226#14556590C2311yescharacteristic
227#14556590C2311yescharacteristic
228#14556590C2311yescharacteristic
229#14556589—21no—
230#14556589—21no—
231#14556589—21no—
232#14556589—21no—
233#14556589D411yescharacteristic
234#14556583C2311yescharacteristic
235#14556583C2311yescharacteristic
236#14556583C2311yescharacteristic
237#14556583C2311yescharacteristic
238#14556582C2311yescharacteristic
239#14556582C2311yescharacteristic
240#14556582C2311yescharacteristic
241#14556582C2311yescharacteristic
242#14556582C2311yescharacteristic
243#14556582C2311yescharacteristic
244#14556581—21no—
245#14556581—21no—
246#14556581—21no—
247#14556581—21no—
248#14556581—21no—
249#14556581—21no—
250#14556581—21no—
251#14556581—21no—
252#14556581—21no—
253#14556581—21no—
254#14556581—21no—
255#14556581—21no—
256#14556581—21no—
257#14556581—21no—
258#14556581D411yescharacteristic
259#14556581D411yescharacteristic
260#14556571—21no—
261#14556571—21no—
262#14556571—21no—
263#14556571—21no—
264#14556571D411yescharacteristic
265#14556570—21no—
266#14556570—21no—
267#14556570—21no—
268#14556570—21no—
269#14556570—21no—
270#14556570—21no—
271#14556569—21no—
272#14556569—21no—
273#14556569—21no—
274#14556569—21no—
275#14556569—21no—
276#14556569—21no—
277#14556569—21no—
278#14556569—21no—
279#14556569—21no—
280#14556569—21no—
281#14556569—21no—
282#14556569—21no—
283#14556569—21no—
284#14556569—21no—
285#14556569D411yescharacteristic
286#14556569D411yescharacteristic
287#14556568—21no—
288#14556568—21no—
289#14556568—21no—
290#14556568—21no—
291#14556568—21no—
292#14556568—21no—
293#14556568—21no—
294#14556568—21no—
295#14556568—21no—
296#14556568—21no—
297#14556568—21no—
298#14556568—21no—
299#14556567—21no—
300#14556567—21no—
301#14556567—21no—
302#14556567—21no—
303#14556567D411yescharacteristic
304Q8×Dic73—21no—
305C4×Dic146C2311yescharacteristic
306C4×Dic146C2311yescharacteristic
307C4×Dic146C2311yescharacteristic
308C4×Dic146C2311yescharacteristic
309C4×Dic146C2311yescharacteristic
310C4×Dic146C2311yescharacteristic
311#14556556—21no—
312#14556556—21no—
313#14556556—21no—
314#14556556—21no—
315#14556556—21no—
316#14556556C2311yescharacteristic
317#14556556C2311yescharacteristic
318#14556556C2311yescharacteristic
319C4×D292C2311yescharacteristic
320C4×D292C2311yescharacteristic
321C4×D292C2311yescharacteristic
322D4×Dic73C2311yescharacteristic
323D4×Dic73C2311yescharacteristic
324D4×Dic73C2311yescharacteristic
325D4×Dic73C2311yescharacteristic
326D4×Dic73C2311yescharacteristic
327D4×Dic73C2311yescharacteristic
328#14556553C2311yescharacteristic
329#14556553C2311yescharacteristic
330#14556553C2311yescharacteristic
331C4×C22⋊D73—21no—
332C4×C22⋊D73—21no—
333C4×C22⋊D73—21no—
334C4×C22⋊D73—21no—
335C4×C22⋊D73—21no—
336C4×C22⋊D73—21no—
337#14556551—21no—
338#14556551—21no—
339#14556551—21no—
340#14556551—21no—
341#14556551—21no—
342#14556551—21no—
343#14556549C2311yescharacteristic
344#14556549C2311yescharacteristic
345#14556549C2311yescharacteristic
346#14556548C2311yescharacteristic
347#14556548C2311yescharacteristic
348#14556547—21no—
349#14556547—21no—
350#14556547—21no—
351C2×C4⋊Dic73—21no—
352C2×#11924007—21no—
353C2×#11924007—21no—
354C2×#11924007—21no—
355C2×#11924007—21no—
356C2×#11924007—21no—
357C2×#11924007—21no—
358C4⋊C4×D73—21no—
359C4⋊C4×D73—21no—
360C4⋊C4×D73—21no—
361C4⋊C4×D73—21no—
362C4⋊C4×D73—21no—
363C4⋊C4×D73C2311yescharacteristic
364C4⋊C4×D73C2311yescharacteristic
365C4⋊C4×D73C2311yescharacteristic
366C2×#11924005—21no—
367C2×#11924005—21no—
368C22⋊C4×D73—21no—
369C22⋊C4×D73—21no—
370C22⋊C4×D73—21no—
371C2×C4×Dic73—21no—
372C42×D73C2311yescharacteristic
373#14556525C2311yescharacteristic
374#14556525C2311yescharacteristic
375#14556525C2311yescharacteristic
376#14556525C2311yescharacteristic
377#14556524C2311yescharacteristic
378#14556524C2311yescharacteristic
379#14556524C2311yescharacteristic
380#14556524C2311yescharacteristic
381#14556524C2311yescharacteristic
382#14556524C2311yescharacteristic
383#14556524C2311yescharacteristic
384#14556524C2311yescharacteristic
385#14556524C2311yescharacteristic
386#14556523C2311yescharacteristic
387#14556523C2311yescharacteristic
388#14556523C2311yescharacteristic
389#14556523C2311yescharacteristic
390#14556523C2311yescharacteristic
391#14556522C2311yescharacteristic
392#14556522C2311yescharacteristic
393#14556522C2311yescharacteristic
394#14556522C2311yescharacteristic
395#14556522C2311yescharacteristic
396#14556522C2311yescharacteristic
397#14556522C2311yescharacteristic
398#14556522C2311yescharacteristic
399#14556522C2311yescharacteristic
400C4⋊#10596831C2311yescharacteristic
401C4⋊#10596831C2311yescharacteristic
402C4⋊#10596831C2311yescharacteristic
403#14556520C2311yescharacteristic
404#14556520C2311yescharacteristic
405#14556520C2311yescharacteristic
406#14556520C2311yescharacteristic
407#14556520C2311yescharacteristic
408#14556520C2311yescharacteristic
409#14556516C2311yescharacteristic
410#14556516C2311yescharacteristic
411#14556516C2311yescharacteristic
412#14556514C2311yescharacteristic
413#14556514C2311yescharacteristic
414#14556514C2311yescharacteristic
415#14556513C2311yescharacteristic
416#14556513C2311yescharacteristic
417#14556513C2311yescharacteristic
418#14556512C2311yescharacteristic
419#14556512C2311yescharacteristic
420#14556512C2311yescharacteristic
421#14556512C2311yescharacteristic
422#14556512C2311yescharacteristic
423#14556512C2311yescharacteristic
424#14556511C2311yescharacteristic
425#14556511C2311yescharacteristic
426#14556511C2311yescharacteristic
427#14556502C2311yescharacteristic
428#14556502C2311yescharacteristic
429#14556501C2311yescharacteristic
430#14556501C2311yescharacteristic
431#14556501C2311yescharacteristic
432#14556501C2311yescharacteristic
433C4×#10596831C2311yescharacteristic
434C8×Dic73C2311yescharacteristic
435C8×Dic73C2311yescharacteristic
436C2×D8×C73C2311yescharacteristic
437C4⋊Q8×C73C2311yescharacteristic
438C4⋊Q8×C73C2311yescharacteristic
439#125×C73C2311yescharacteristic
440#125×C73C2311yescharacteristic
441#125×C73C2311yescharacteristic
442#125×C73C2311yescharacteristic
443C22⋊Q8×C73—21no—
444C22⋊Q8×C73—21no—
445C22⋊Q8×C73—21no—
446C22⋊Q8×C73—21no—
447C22⋊Q8×C73—21no—
448C22⋊Q8×C73—21no—
449C4×Q8×C73C2311yescharacteristic
450C4×D4×C73C2311yescharacteristic
451C4×D4×C73C2311yescharacteristic
452C4×D4×C73C2311yescharacteristic
453C4×D4×C73C2311yescharacteristic
454C4×D4×C73C2311yescharacteristic
455C4×D4×C73C2311yescharacteristic
456C2×C4⋊C4×C73—21no—
457C2×C4⋊C4×C73—21no—
458#107×C73C2311yescharacteristic
459#107×C73C2311yescharacteristic
460#107×C73C2311yescharacteristic
461#107×C73C2311yescharacteristic
462#107×C73C2311yescharacteristic
463#106×C73C2311yescharacteristic
464#106×C73C2311yescharacteristic
465#106×C73C2311yescharacteristic
466#106×C73C2311yescharacteristic
467C4⋊C8×C73C2311yescharacteristic
468C4⋊C8×C73C2311yescharacteristic
469C4⋊C8×C73C2311yescharacteristic
470#102×C73C2311yescharacteristic
471#102×C73C2311yescharacteristic
472#102×C73C2311yescharacteristic
473#102×C73C2311yescharacteristic
474#102×C73C2311yescharacteristic
475#102×C73C2311yescharacteristic
476C4×C8×C73C2311yescharacteristic
477C4×C8×C73C2311yescharacteristic
478C4×C8×C73C2311yescharacteristic
479C23×D73—21no—
480#11924027—22no—
481#11924027C2×Q814yescomplemented
482C2×Dic146—21no—
483C2×Dic146—21no—
484C2×Dic146—21no—
485C2×Dic146—21no—
486C2×Dic146—21no—
487C2×Dic146—21no—
488C2×Dic146—21no—
489C2×Dic146—21no—
490C2×Dic146—82no—
491C2×Dic146C2×D411yescharacteristic
492C2×Dic146C2×D411yescharacteristic
493C2×Dic146C2×D411yescharacteristic
494C2×Dic146C2411yescharacteristic
495Q8×D73—82no—
496C2×D292C2411yescharacteristic
497C2×C22⋊D73—21no—
498C2×C22⋊D73—21no—
499D4×D73—22no—
500D4×D73C2×Q814yes—
501C22×Dic73—21no—
502C22×Dic73—21no—
503C22×Dic73—21no—
504C22×Dic73—21no—
505C22×Dic73—21no—
506C22×Dic73—21no—
507C22×Dic73—21no—
508C2×C4×D73—21no—
509C2×C4×D73—21no—
510C2×C4×D73—21no—
511C2×C4×D73—21no—
512C2×C4×D73—21no—
513C2×C4×D73—21no—
514C2×C4×D73—21no—
515C2×C4×D73—21no—
516C2×C4×D73—21no—
517C2×C4×D73—82no—
518C2×C4×D73C2×D411yescharacteristic
519C2×C4×D73C2×D411yescharacteristic
520C2×C4×D73C2411yescharacteristic
521#11924017C2×Q814yescomplemented
522#11924016C2×Q814yescomplemented
523#11924013C2×Q814yescomplemented
524#11924011—22no—
525#11924011C2×Q814yescomplemented
526C2×#10596831C2411yescharacteristic
527C2×#10596831C2411yescharacteristic
528C2×#10596831C2411yescharacteristic
529C2×#10596831C2411yescharacteristic
530C8×D73—22no—
531C8×D73—22no—
532C4⋊Dic73—21no—
533C4⋊Dic73—21no—
534C4⋊Dic73—21no—
535C4⋊Dic73—21no—
536C4⋊Dic73—21no—
537C4⋊Dic73—21no—
538C4⋊Dic73—21no—
539C4⋊Dic73—21no—
540C4⋊Dic73C2×D411yescharacteristic
541C4⋊Dic73C2×D411yescharacteristic
542C4⋊Dic73C2×D411yescharacteristic
543C4⋊Dic73C2411yescharacteristic
544C4⋊Dic73C2411yescharacteristic
545C4⋊Dic73C2411yescharacteristic
546C4⋊Dic73C2411yescharacteristic
547C4⋊Dic73C2411yescharacteristic
548C4⋊Dic73C2411yescharacteristic
549#11924007—21no—
550#11924007—21no—
551#11924007—21no—
552#11924007—21no—
553#11924007—21no—
554#11924007—21no—
555#11924007—21no—
556#11924007—21no—
557#11924007—21no—
558#11924007—21no—
559#11924007—21no—
560#11924007—21no—
561#11924007—21no—
562#11924007—21no—
563#11924007—21no—
564#11924007—21no—
565#11924007—21no—
566#11924007—21no—
567#11924007—21no—
568#11924007—21no—
569#11924007—21no—
570#11924007—21no—
571#11924007—21no—
572#11924007—21no—
573#11924007—21no—
574#11924007—21no—
575#11924007—21no—
576#11924007—21no—
577#11924007—21no—
578#11924007C2×D411yescharacteristic
579#11924007C2×D411yescharacteristic
580#11924007C2×D411yescharacteristic
581#11924007C2×D411yescharacteristic
582#11924007C2×D411yescharacteristic
583#11924007C2×D411yescharacteristic
584#11924007C2×D411yescharacteristic
585#11924007C2×D411yescharacteristic
586#11924007C2×D411yescharacteristic
587#11924007C2×D411yescharacteristic
588C22⋊Dic73—21no—
589C22⋊Dic73—21no—
590C22⋊Dic73—21no—
591C22⋊Dic73—21no—
592C22⋊Dic73—21no—
593C22⋊Dic73—21no—
594#11924005—21no—
595#11924005—21no—
596#11924005—21no—
597#11924005—21no—
598#11924005—21no—
599#11924005—21no—
600#11924005—21no—
601#11924005—21no—
602#11924005—21no—
603#11924005C2×D411yescharacteristic
604#11924005C2×D411yescharacteristic
605#11924005C2×D411yescharacteristic
606#11924005C2×D411yescharacteristic
607C4×Dic73—21no—
608C4×Dic73—21no—
609C4×Dic73—21no—
610C4×Dic73—21no—
611C4×Dic73—21no—
612C4×Dic73—21no—
613C4×Dic73—21no—
614C4×Dic73—21no—
615C4×Dic73—21no—
616C4×Dic73C2×D411yescharacteristic
617C4×Dic73C2×D411yescharacteristic
618C4×Dic73C2411yescharacteristic
619C4×Dic73C2411yescharacteristic
620C4×Dic73C2411yescharacteristic
621C2×Q8×C73—21no—
622C2×Q8×C73—21no—
623C2×Q8×C73C2×D411yescharacteristic
624C2×D4×C73C2411yescharacteristic
625C2×D4×C73C2411yescharacteristic
626C22×C4×C73—21no—
627C22×C4×C73—21no—
628C22×C4×C73—21no—
629C22×C4×C73—21no—
630C22×C4×C73—21no—
631C22×C4×C73—21no—
632D8×C73C2×Q814yescomplemented
633C2×C8×C73C2411yescharacteristic
634C2×C8×C73C2411yescharacteristic
635C2×C8×C73C2411yescharacteristic
636C2×C8×C73C2411yescharacteristic
637C4⋊C4×C73—21no—
638C4⋊C4×C73—21no—
639C4⋊C4×C73—21no—
640C4⋊C4×C73—21no—
641C4⋊C4×C73—21no—
642C4⋊C4×C73—21no—
643C4⋊C4×C73—21no—
644C4⋊C4×C73—21no—
645C4⋊C4×C73—21no—
646C4⋊C4×C73—21no—
647C4⋊C4×C73C2×D411yescharacteristic
648C4⋊C4×C73C2×D411yescharacteristic
649C4⋊C4×C73C2×D411yescharacteristic
650C4⋊C4×C73C2411yescharacteristic
651C4⋊C4×C73C2411yescharacteristic
652C4⋊C4×C73C2411yescharacteristic
653C4⋊C4×C73C2411yescharacteristic
654C4⋊C4×C73C2411yescharacteristic
655C4⋊C4×C73C2411yescharacteristic
656C22⋊C4×C73—21no—
657C22⋊C4×C73—21no—
658C22⋊C4×C73—21no—
659C22⋊C4×C73—21no—
660C22⋊C4×C73—21no—
661C22⋊C4×C73—21no—
662C42×C73C2411yescharacteristic
663C42×C73C2411yescharacteristic
664C42×C73C2411yescharacteristic
665C23×C73—21no—
666C23×C73—21no—
667C22×D73—21no—
668C22×D73—24no—
669C22×D73—81no—
670C22×D73—81no—
671C22×D73C22×D411yescharacteristic
672Q8×C73—41no—
673Q8×C73—81no—
674Q8×C73—81no—
675D4×C73—21no—
676D4×C73—21no—
677D4×C73C22×Q812yes—
678D4×C73C22×Q812yes—
679C2×C4×C73—21no—
680C2×C4×C73—21no—
681C2×C4×C73—21no—
682C2×C4×C73—21no—
683C2×C4×C73—21no—
684C2×C4×C73—21no—
685C2×C4×C73—81no—
686C2×C4×C73—81no—
687C2×C4×C73—81no—
688C2×C4×C73—81no—
689C2×C4×C73—81no—
690C2×C4×C73—81no—
691C2×C4×C73C22×D411yescharacteristic
692C2×C4×C73C22×D411yescharacteristic
693C2×C4×C73C22×D411yescharacteristic
694C2×C4×C73C22×D411yescharacteristic
695C2×C4×C73C22×D411yescharacteristic
696C2×C4×C73C22×D411yescharacteristic
697C2×C4×C73C2511yescharacteristic
698C22⋊D73—24no—
699C22⋊D73—24no—
700C2×Dic73—21no—
701C2×Dic73—24no—
702C2×Dic73—21no—
703C2×Dic73—21no—
704C2×Dic73—21no—
705C2×Dic73—21no—
706C2×Dic73—21no—
707C2×Dic73—21no—
708C2×Dic73—42no—
709C2×Dic73—81no—
710C2×Dic73—81no—
711C2×Dic73—81no—
712C2×Dic73—81no—
713C2×Dic73—81no—
714C2×Dic73C22×D411yescharacteristic
715C2×Dic73C22×D411yescharacteristic
716C2×Dic73C22×D411yescharacteristic
717C2×Dic73C22×D411yescharacteristic
718C2×Dic73C22×D411yescharacteristic
719C2×Dic73C22×D411yescharacteristic
720C2×Dic73C22×D411yescharacteristic
721D292—21no—
722D292C22×Q812yes—
723C4×D73—41no—
724C4×D73—41no—
725C4×D73—42no—
726C4×D73—81no—
727C4×D73—81no—
728C4×D73—81no—
729C4×D73—81no—
730C4×D73—81no—
731C4×D73—81no—
732C4×D73—81no—
733C4×D73—81no—
734C4×D73C22×Q812yes—
735C4×D732−1+412yes—
736Dic146—21no—
737Dic146—41no—
738Dic146—41no—
739Dic146—41no—
740Dic146—42no—
741Dic146—81no—
742Dic146—81no—
743Dic146—81no—
744Dic146—81no—
745Dic146—81no—
746Dic146—81no—
747Dic146—81no—
748Dic146C22×Q812yes—
749C8×C73—21no—
750C8×C73—21no—
751C8×C73—21no—
752C8×C73C22×Q812yes—
753#10596831—21no—
754#10596831—21no—
755#10596831—21no—
756#10596831C22×Q812yes—
757C22×C73—22no—
758C22×C73—22no—
759C22×C73—41no—
760C22×C73—41no—
761C22×C73—41no—
762C22×C73—41no—
763C22×C73C23×D411yescharacteristic
764C2×D73—21no—
765C2×D73—21no—
766C2×D73—22no—
767C2×D73—41no—
768C2×D73—41no—
769C2×D73—84no—
770C2×D73D4×Q812yes—
771C4×C73—21no—
772C4×C73—21no—
773C4×C73—21no—
774C4×C73—21no—
775C4×C73—21no—
776C4×C73—21no—
777C4×C73—41no—
778C4×C73—41no—
779C4×C73—41no—
780C4×C73—41no—
781C4×C73—41no—
782C4×C73—41no—
783C4×C73C23×Q811yescharacteristic
784C4×C73C2×2−1+411yescharacteristic
785Dic73—21no—
786Dic73—21no—
787Dic73—21no—
788Dic73—21no—
789Dic73—21no—
790Dic73—21no—
791Dic73—22no—
792Dic73—41no—
793Dic73—41no—
794Dic73—41no—
795Dic73—41no—
796Dic73—41no—
797Dic73—41no—
798Dic73D4×Q812yes—
799#61385—731nomaximal, Sylow
800C2×C73—42no—
801C2×C73—42no—
802C2×C73C2×D4×Q811yescharacteristic
803C2×C73#358411yescharacteristic
804C2×C73#358511yescharacteristic
805D73—22no—
806D73—42no—
807#3504—731no—
808#3501—731no—
809#3389—731no—
810#3389—731no—
811#3389—731no—
812#3389—731no—
813#3388—731no—
814#3388—731no—
815#3388—731no—
816#3388—731no—
817#3386—731no—
818#3386—731no—
819#3384—731no—
820#3384—731no—
821#3381—731no—
822#3381—731no—
823#3380—731no—
824#3380D7311yescharacteristic, complemented
825#3166—731no—
826#3164—731no—
827#3163—731no—
828#3084—731no—
829#3083—731no—
830#3081—731no—
831#3081—731no—
832#3076—731no—
833C2×#478—731no—
834#2962—731no—
835#2946—731no—
836#2946—731no—
837C4×AGL(1,ℤ/8)—731no—
838C73#6138511yescharacteristic, complemented, Sylow
839C2×AGL(1,ℤ/8)—731no—
840#557—731no—
841#557—731no—
842#557—731no—
843#557—731no—
844#554—731no—
845#554—731no—
846#554—731no—
847#554—731no—
848#554—731no—
849#554—731no—
850#554—731no—
851#554—731no—
852#554—1461no—
853#554—1461no—
854#554—1461no—
855#554—1461no—
856#554—1461no—
857#554—1461no—
858#554—1461no—
859#554C2×D7311yescharacteristic
860#554C2×D7311yescharacteristic, complemented
861D4×Q8—731no—
862D4×Q8—731no—
863D4×Q8—1461no—
864#544—731no—
865#544—731no—
866#544—731no—
867#544—731no—
868#544—1461no—
869#544—1461no—
870#543—1461no—
871#543—1461no—
872#533—731no—
873#533—731no—
874#533—1461no—
875C2×#125—731no—
876C2×#125—1461no—
877C2×C22⋊Q8—1461no—
878C2×C22⋊Q8—1461no—
879#520—731no—
880#520—731no—
881#518—731no—
882#518—731no—
883C4×#41—731no—
884C2×C4×D4—731no—
885#501—731no—
886#501—731no—
887#501—731no—
888#501—731no—
889#501—731no—
890#501—731no—
891#501—731no—
892#501—731no—
893#501—731no—
894#501—731no—
895#501—731no—
896#501—731no—
897#500—731no—
898#500C2×D7311yescharacteristic, complemented
899#499—731no—
900#499—731no—
901#499—731no—
902#499—731no—
903#499—731no—
904#499—731no—
905#499C2×D7311yescharacteristic, complemented
906#499C2×D7311yescharacteristic, complemented
907#498—731no—
908#498—731no—
909#479—731no—
910#479—731no—
911#479—731no—
912#479—731no—
913#479—731no—
914#479—731no—
915#478—731no—
916#478—731no—
917#478—731no—
918#478—731no—
919#478—731no—
920#478—731no—
921#478—731no—
922#478—731no—
923#478—731no—
924#478—731no—
925#478—731no—
926#478—731no—
927#478—731no—
928#478—731no—
929#478—731no—
930#478—731no—
931#478—731no—
932#478—731no—
933#478C2×D7311yescharacteristic
934#478C2×D7311yescharacteristic
935#478C2×D7311yescharacteristic, complemented
936#478C2×D7311yescharacteristic, complemented
937#477—731no—
938#477—731no—
939#477—731no—
940#476—731no—
941#476—731no—
942#476—731no—
943#476—731no—
944#476—731no—
945#476C2×D7311yescharacteristic
946#476C2×D7311yescharacteristic, complemented
947#475—731no—
948#475—731no—
949#475—731no—
950#474—731no—
951#474—731no—
952#474—731no—
953#474—731no—
954#474—731no—
955#474—731no—
956#474—731no—
957#446—731no—
958#446—731no—
959#446—731no—
960#446—731no—
961#446—731no—
962#446—731no—
963C8×Q8—731no—
964C8×Q8C2×D7311yescharacteristic, complemented
965#442—731no—
966#442—731no—
967#442—731no—
968#442—731no—
969#442—731no—
970#442—731no—
971#440—731no—
972#440—731no—
973#440—731no—
974#440—731no—
975#440—731no—
976#440—731no—
977C4×SD16—731no—
978C4×SD16—731no—
979C4×SD16—731no—
980C4×SD16—731no—
981C4×SD16—731no—
982C4×SD16—731no—
983C4×D8—731no—
984C4×D8—731no—
985C4×D8—731no—
986C4×D8C2×D7311yescharacteristic
987C4×D8C2×D7311yescharacteristic
988C4×D8C2×D7311yescharacteristic
989#428—731no—
990#428—731no—
991#428—731no—
992#428—731no—
993#428—731no—
994#427—731no—
995#427—731no—
996C2×#107—731no—
997C2×#106—731no—
998#424—731no—
999#424—731no—
1000C2×C4⋊C8—731no—
1001#418—731no—
1002#417—731no—
1003#416—731no—
1004#416—731no—
1005C2×#102—731no—
1006C2×#102—731no—
1007#405—731no—
1008#405—731no—
1009C4×M16—731no—
1010C2×#41—731no—
1011C22×Q8—1461no—
1012C22×Q8—1461no—
1013C22×D4—731no—
1014C23×C4—1461no—
1015AGL(1,ℤ/8)—738no—
1016C2×SD16—731no—
1017C2×SD16—731no—
1018C2×D8—731no—
1019C2×D8C22×D7311yescharacteristic
1020C2×M16—731no—
1021C2×M16—731no—
1022C22×C8—731no—
1023C22×C8—731no—
1024C4⋊Q8—731no—
1025C4⋊Q8—731no—
1026C4⋊Q8—731no—
1027C4⋊Q8—731no—
1028C4⋊Q8—731no—
1029C4⋊Q8—731no—
1030C4⋊Q8—731no—
1031C4⋊Q8—731no—
1032C4⋊Q8—731no—
1033C4⋊Q8—731no—
1034C4⋊Q8—1461no—
1035C4⋊Q8—1461no—
1036C4⋊Q8—1461no—
1037C4⋊Q8—1461no—
1038C4⋊Q8—1461no—
1039C4⋊Q8—1461no—
1040C4⋊Q8—1461no—
1041C4⋊Q8—1461no—
1042C4⋊Q8C22×D7311yescharacteristic
1043C4⋊Q8C22×D7311yescharacteristic
1044#125—731no—
1045#125—731no—
1046#125—731no—
1047#125—731no—
1048#125—731no—
1049#125—731no—
1050#125—731no—
1051#125—731no—
1052#125—731no—
1053#125—731no—
1054#125—731no—
1055#125—731no—
1056#125—1461no—
1057#125—1461no—
1058#125—1461no—
1059#125—1461no—
1060#125—1461no—
1061#125—1461no—
1062#125—1461no—
1063#125—1461no—
1064#125—1461no—
1065#125—1461no—
1066#125—1461no—
1067#125—1461no—
1068#125—1461no—
1069#125—1461no—
1070#125C22×D7311yescharacteristic
1071#125C22×D7311yescharacteristic
1072#125C22×D7311yescharacteristic
1073#125C22×D7311yescharacteristic
1074C22⋊Q8—21no—
1075C22⋊Q8—21no—
1076C22⋊Q8—21no—
1077C22⋊Q8—21no—
1078C22⋊Q8—21no—
1079C22⋊Q8—21no—
1080C22⋊Q8—731no—
1081C22⋊Q8—731no—
1082C22⋊Q8—731no—
1083C22⋊Q8—731no—
1084C22⋊Q8—1461no—
1085C22⋊Q8—1461no—
1086C22⋊Q8—1461no—
1087C22⋊Q8—1461no—
1088C22⋊Q8—1461no—
1089C22⋊Q8—1461no—
1090C22⋊Q8—1461no—
1091C22⋊Q8—1461no—
1092C22⋊Q8—1461no—
1093C22⋊Q8—1461no—
1094C22⋊Q8—1461no—
1095C22⋊Q8—1461no—
1096C22⋊Q8—1461no—
1097C22⋊Q8—1461no—
1098C22⋊Q8—1461no—
1099C22⋊Q8—1461no—
1100C22⋊Q8—1461no—
1101C22⋊Q8—1461no—
1102C22⋊Q8—1461no—
1103C22⋊Q8—1461no—
1104C22⋊Q8—1461no—
1105C22⋊Q8—1461no—
1106C22⋊Q8—1461no—
1107C22⋊Q8—1461no—
1108C22⋊Q8—1461no—
1109C22⋊Q8—1461no—
1110C22⋊Q8—1461no—
1111C22⋊Q8—1461no—
1112C22⋊Q8—1461no—
1113C22⋊Q8—1461no—
1114C22⋊Q8—1461no—
1115C22⋊Q8—1461no—
1116C22⋊Q8—1461no—
1117C22⋊Q8—1461no—
1118C22⋊Q8—1461no—
1119C22⋊Q8—1461no—
1120C22⋊Q8—1461no—
1121C22⋊Q8—1461no—
1122C22⋊Q8—1461no—
1123C22⋊Q8—1461no—
1124C4×Q8—731no—
1125C4×Q8—731no—
1126C4×Q8—731no—
1127C4×Q8—731no—
1128C4×Q8—731no—
1129C4×Q8—731no—
1130C4×Q8—731no—
1131C4×Q8—731no—
1132C4×Q8—731no—
1133C4×Q8—1461no—
1134C4×Q8—1461no—
1135C4×Q8—1461no—
1136C4×Q8—1461no—
1137C4×Q8—1461no—
1138C4×Q8—1461no—
1139C4×Q8C22×D7311yescharacteristic
1140C4×D4—731no—
1141C4×D4—731no—
1142C4×D4—731no—
1143C4×D4—731no—
1144C4×D4—731no—
1145C4×D4—731no—
1146C4×D4—731no—
1147C4×D4—731no—
1148C4×D4—731no—
1149C4×D4—731no—
1150C4×D4—731no—
1151C4×D4—731no—
1152C4×D4—1461no—
1153C4×D4—1461no—
1154C4×D4—1461no—
1155C4×D4—1461no—
1156C4×D4—1461no—
1157C4×D4—1461no—
1158C4×D4—1461no—
1159C4×D4—1461no—
1160C4×D4—1461no—
1161C4×D4—1461no—
1162C4×D4—1461no—
1163C4×D4—1461no—
1164C4×D4C22×D7311yescharacteristic
1165C4×D4C22×D7311yescharacteristic
1166C4×D4C22×D7311yescharacteristic
1167C4×D4C22×D7311yescharacteristic
1168C4×D4C22×D7311yescharacteristic
1169C4×D4C22×D7311yescharacteristic
1170#117—731no—
1171#117—731no—
1172#117—731no—
1173#117—731no—
1174#117—731no—
1175#117—1461no—
1176#117—1461no—
1177#117—1461no—
1178C2×C4⋊C4—21no—
1179C2×C4⋊C4—21no—
1180C2×C4⋊C4—731no—
1181C2×C4⋊C4—731no—
1182C2×C4⋊C4—731no—
1183C2×C4⋊C4—1461no—
1184C2×C4⋊C4—1461no—
1185C2×C4⋊C4—1461no—
1186C2×C4⋊C4—1461no—
1187C2×C4⋊C4—1461no—
1188C2×C4⋊C4—1461no—
1189C2×C4⋊C4—1461no—
1190C2×C4⋊C4—1461no—
1191C2×C4⋊C4—1461no—
1192C2×C4⋊C4—1461no—
1193C2×C4⋊C4—1461no—
1194C2×C4⋊C4—1461no—
1195C2×C22⋊C4—1461no—
1196C2×C22⋊C4—1461no—
1197C2×C22⋊C4—1461no—
1198C2×C22⋊C4—1461no—
1199C2×C22⋊C4—1461no—
1200C2×C42—731no—
1201C2×C42—1461no—
1202#107—731no—
1203#107—731no—
1204#107—731no—
1205#107—731no—
1206#107—731no—
1207#107—731no—
1208#107—731no—
1209#107—731no—
1210#107—731no—
1211#107—731no—
1212#107—731no—
1213#107—731no—
1214#107—731no—
1215#107C22×D7311yescharacteristic
1216#107C22×D7311yescharacteristic
1217#107C22×D7311yescharacteristic
1218#107C22×D7311yescharacteristic
1219#107C22×D7311yescharacteristic
1220#106—731no—
1221#106—731no—
1222#106—731no—
1223#106—731no—
1224#106—731no—
1225#106—731no—
1226#106—731no—
1227#106—731no—
1228#106—731no—
1229#106—731no—
1230#106—731no—
1231#106—731no—
1232#106—731no—
1233#106—731no—
1234#106C22×D7311yescharacteristic
1235#106C22×D7311yescharacteristic
1236#106C22×D7311yescharacteristic
1237#106C22×D7311yescharacteristic
1238C4⋊C8—731no—
1239C4⋊C8—731no—
1240C4⋊C8—731no—
1241C4⋊C8—731no—
1242C4⋊C8—731no—
1243C4⋊C8—731no—
1244C4⋊C8—731no—
1245C4⋊C8—731no—
1246C4⋊C8—731no—
1247C4⋊C8C22×D7311yescharacteristic
1248C4⋊C8C22×D7311yescharacteristic
1249C4⋊C8C22×D7311yescharacteristic
1250#103—731no—
1251#103—731no—
1252#103—731no—
1253#103—731no—
1254#103—731no—
1255#103—731no—
1256#102—731no—
1257#102—731no—
1258#102—731no—
1259#102—731no—
1260#102—731no—
1261#102—731no—
1262#102—731no—
1263#102—731no—
1264#102—731no—
1265#102—731no—
1266#102—731no—
1267#102—731no—
1268#102C22×D7311yescharacteristic
1269#102C22×D7311yescharacteristic
1270#102C22×D7311yescharacteristic
1271#102C22×D7311yescharacteristic
1272#102C22×D7311yescharacteristic
1273#102C22×D7311yescharacteristic
1274#97—731no—
1275#97—731no—
1276#97—731no—
1277#97—731no—
1278#97—731no—
1279#97—731no—
1280C4×C8—731no—
1281C4×C8—731no—
1282C4×C8—731no—
1283C4×C8C22×D7311yescharacteristic
1284C4×C8C22×D7311yescharacteristic
1285C4×C8C22×D7311yescharacteristic
1286C24—1461no—
1287#41—734no—
1288#41—1462no—
1289C2×Q8—21no—
1290C2×Q8—21no—
1291C2×Q8—5842no—
1292C2×Q8—5842no—
1293C2×Q8—731no—
1294C2×Q8—731no—
1295C2×Q8—731no—
1296C2×Q8—731no—
1297C2×Q8—1461no—
1298C2×Q8—1461no—
1299C2×Q8—1461no—
1300C2×Q8—1461no—
1301C2×Q8—1461no—
1302C2×Q8—1461no—
1303C2×Q8—1461no—
1304C2×Q8—1461no—
1305C2×Q8D4×D7311yescharacteristic
1306C2×D4—734no—
1307C2×D4—731no—
1308C2×D4—1462no—
1309C2×D4—1461no—
1310C2×D4—1461no—
1311C2×D4C23×D7311yescharacteristic
1312C2×D4C23×D7311yescharacteristic
1313C22×C4—21no—
1314C22×C4—21no—
1315C22×C4—21no—
1316C22×C4—21no—
1317C22×C4—21no—
1318C22×C4—21no—
1319C22×C4—5842no—
1320C22×C4—731no—
1321C22×C4—731no—
1322C22×C4—731no—
1323C22×C4—1461no—
1324C22×C4—1461no—
1325C22×C4—1461no—
1326C22×C4—1461no—
1327C22×C4—1461no—
1328C22×C4—1461no—
1329C22×C4—1461no—
1330C22×C4—1461no—
1331C22×C4—1461no—
1332C22×C4—1461no—
1333C22×C4—1461no—
1334C22×C4—1461no—
1335C22×C4—1461no—
1336C22×C4—1461no—
1337C22×C4—1461no—
1338C22×C4—1461no—
1339SD16—734no—
1340SD16—734no—
1341D8—734no—
1342D8Q8×D7314yescomplemented
1343M16—734no—
1344M16—1462no—
1345C2×C8—731no—
1346C2×C8—731no—
1347C2×C8—731no—
1348C2×C8—731no—
1349C2×C8—1462no—
1350C2×C8—1462no—
1351C2×C8C23×D7311yescharacteristic
1352C2×C8C23×D7311yescharacteristic
1353C2×C8C23×D7311yescharacteristic
1354C2×C8C23×D7311yescharacteristic
1355C4⋊C4—21no—
1356C4⋊C4—21no—
1357C4⋊C4—21no—
1358C4⋊C4—21no—
1359C4⋊C4—21no—
1360C4⋊C4—21no—
1361C4⋊C4—21no—
1362C4⋊C4—21no—
1363C4⋊C4—21no—
1364C4⋊C4—21no—
1365C4⋊C4—731no—
1366C4⋊C4—731no—
1367C4⋊C4—731no—
1368C4⋊C4—731no—
1369C4⋊C4—731no—
1370C4⋊C4—731no—
1371C4⋊C4—731no—
1372C4⋊C4—731no—
1373C4⋊C4—731no—
1374C4⋊C4—731no—
1375C4⋊C4—731no—
1376C4⋊C4—731no—
1377C4⋊C4—731no—
1378C4⋊C4—731no—
1379C4⋊C4—731no—
1380C4⋊C4—731no—
1381C4⋊C4—731no—
1382C4⋊C4—731no—
1383C4⋊C4—731no—
1384C4⋊C4—1461no—
1385C4⋊C4—1461no—
1386C4⋊C4—1461no—
1387C4⋊C4—1461no—
1388C4⋊C4—1461no—
1389C4⋊C4—1461no—
1390C4⋊C4—1461no—
1391C4⋊C4—1461no—
1392C4⋊C4—1461no—
1393C4⋊C4—1461no—
1394C4⋊C4—1461no—
1395C4⋊C4—1461no—
1396C4⋊C4—1461no—
1397C4⋊C4—1461no—
1398C4⋊C4—1461no—
1399C4⋊C4—1461no—
1400C4⋊C4—1461no—
1401C4⋊C4—1461no—
1402C4⋊C4—1461no—
1403C4⋊C4—1461no—
1404C4⋊C4—1461no—
1405C4⋊C4—1461no—
1406C4⋊C4—1461no—
1407C4⋊C4—1461no—
1408C4⋊C4—1461no—
1409C4⋊C4—1461no—
1410C4⋊C4—1461no—
1411C4⋊C4—1461no—
1412C4⋊C4—1461no—
1413C4⋊C4—1461no—
1414C4⋊C4—1461no—
1415C4⋊C4—1461no—
1416C4⋊C4—1461no—
1417C4⋊C4—1461no—
1418C4⋊C4—1461no—
1419C4⋊C4—1461no—
1420C4⋊C4—1461no—
1421C4⋊C4D4×D7311yescharacteristic
1422C4⋊C4D4×D7311yescharacteristic
1423C4⋊C4D4×D7311yescharacteristic
1424C4⋊C4C23×D7311yescharacteristic
1425C4⋊C4C23×D7311yescharacteristic
1426C4⋊C4C23×D7311yescharacteristic
1427C4⋊C4C23×D7311yescharacteristic
1428C4⋊C4C23×D7311yescharacteristic
1429C4⋊C4C23×D7311yescharacteristic
1430C22⋊C4—21no—
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—21no—
1435C22⋊C4—21no—
1436C22⋊C4—731no—
1437C22⋊C4—731no—
1438C22⋊C4—731no—
1439C22⋊C4—731no—
1440C22⋊C4—1461no—
1441C22⋊C4—1461no—
1442C22⋊C4—1461no—
1443C22⋊C4—1461no—
1444C22⋊C4—1461no—
1445C22⋊C4—1461no—
1446C22⋊C4—1461no—
1447C22⋊C4—1461no—
1448C22⋊C4—1461no—
1449C22⋊C4—1461no—
1450C22⋊C4—1461no—
1451C22⋊C4—1461no—
1452C22⋊C4—1461no—
1453C22⋊C4—1461no—
1454C22⋊C4—1461no—
1455C42—731no—
1456C42—731no—
1457C42—731no—
1458C42—731no—
1459C42—731no—
1460C42—1461no—
1461C42—1461no—
1462C42—1461no—
1463C42—1461no—
1464C42—1461no—
1465C42—1461no—
1466C42—1461no—
1467C42—1461no—
1468C42—1461no—
1469C42C23×D7311yescharacteristic
1470C42C23×D7311yescharacteristic
1471C42C23×D7311yescharacteristic
1472C23—21no—
1473C23—21no—
1474C23—5841no—
1475C23—5841no—
1476C23—731no—
1477C23—1464no—
1478C23—1461no—
1479Q8—41no—
1480Q8—81no—
1481Q8—81no—
1482Q8—2921no—
1483Q8—2921no—
1484Q8—2921no—
1485Q8—2922no—
1486Q8—5841no—
1487Q8—5841no—
1488Q8—5841no—
1489Q8—5841no—
1490Q8—5841no—
1491Q8—5841no—
1492Q8—5841no—
1493Q8—732no—
1494Q8—1461no—
1495D4—21no—
1496D4—21no—
1497D4—732no—
1498D4—1464no—
1499D4—1464no—
1500D4—1461no—
1501D4C2×Q8×D7312yes—
1502D4C2×Q8×D7312yes—
1503C2×C4—21no—
1504C2×C4—21no—
1505C2×C4—21no—
1506C2×C4—21no—
1507C2×C4—21no—
1508C2×C4—21no—
1509C2×C4—81no—
1510C2×C4—81no—
1511C2×C4—81no—
1512C2×C4—81no—
1513C2×C4—81no—
1514C2×C4—81no—
1515C2×C4—2921no—
1516C2×C4—2921no—
1517C2×C4—2922no—
1518C2×C4—2922no—
1519C2×C4—5841no—
1520C2×C4—5841no—
1521C2×C4—5841no—
1522C2×C4—5841no—
1523C2×C4—5841no—
1524C2×C4—5841no—
1525C2×C4—5841no—
1526C2×C4—5841no—
1527C2×C4—5841no—
1528C2×C4—5841no—
1529C2×C4—5841no—
1530C2×C4—5841no—
1531C2×C4—5841no—
1532C2×C4—731no—
1533C2×C4—732no—
1534C2×C4—732no—
1535C2×C4—731no—
1536C2×C4—731no—
1537C2×C4—731no—
1538C2×C4—731no—
1539C2×C4—731no—
1540C2×C4—731no—
1541C2×C4—1461no—
1542C2×C4—1461no—
1543C2×C4—1461no—
1544C2×C4—1461no—
1545C2×C4—1461no—
1546C2×C4—1461no—
1547C2×C4—1464no—
1548C2×C4—1461no—
1549C2×C4C2×D4×D7311yescharacteristic
1550C2×C4C2×D4×D7311yescharacteristic
1551C2×C4C2×D4×D7311yescharacteristic
1552C2×C4C2×D4×D7311yescharacteristic
1553C2×C4C2×D4×D7311yescharacteristic
1554C2×C4C2×D4×D7311yescharacteristic
1555C2×C4C24×D7311yescharacteristic
1556C8—21no—
1557C8—21no—
1558C8—21no—
1559C8—732no—
1560C8—1461no—
1561C8—1461no—
1562C8—1461no—
1563C8C2×Q8×D7312yes—
1564C22—22no—
1565C22—22no—
1566C22—41no—
1567C22—41no—
1568C22—41no—
1569C22—41no—
1570C22—2921no—
1571C22—2921no—
1572C22—5844no—
1573C22—732no—
1574C22—1462no—
1575C22—1461no—
1576C22—1461no—
1577C22C22×D4×D7311yescharacteristic
1578C4—21no—
1579C4—21no—
1580C4—21no—
1581C4—21no—
1582C4—21no—
1583C4—21no—
1584C4—41no—
1585C4—41no—
1586C4—41no—
1587C4—41no—
1588C4—41no—
1589C4—41no—
1590C4—2921no—
1591C4—2921no—
1592C4—2921no—
1593C4—2921no—
1594C4—2921no—
1595C4—2921no—
1596C4—732no—
1597C4—1462no—
1598C4—1461no—
1599C4—1461no—
1600C4—1461no—
1601C4—1461no—
1602C4—1461no—
1603C4—1461no—
1604C4C22×Q8×D7311yescharacteristic
1605C42−1+4×D7311yescharacteristic
1606C2—42no—
1607C2—42no—
1608C2—2922no—
1609C2—1462no—
1610C2D4×Q8×D7311yescharacteristic
1611C2#2262470011yescharacteristic
1612C2#2262470611yescharacteristic
subgroupG/H
centerC22C22×D4×D73
commutator, cosocleC2×C4×C73C25
FrattiniC2×C4C24×D73
FittingC73×#3380C2
socleC22×C73C23×D4
prime radicalC2×#14556615C22
hypercenter#3380D73
hypocenterC73#61385
LCSG ▷ C2×C4×C73 ▷ C2×C73 ▷ C73
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3380

Complements

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

NH ≅ G/Ntype
1. #22623751C2semidirect
2. #22623730C2semidirect
3. #22622888C2semidirect
4. #22622887C2semidirect
5. #22622887C2semidirect
6. #22622885C2semidirect
7. #22622882C2semidirect
8. #22622882C2semidirect
9. #22622876C2semidirect
10. #22622869C2semidirect
11. #22622857C2semidirect
12. #22622847C2semidirect
13. #22622828C2semidirect
14. #22622825C2semidirect
15. #22622808C2semidirect
16. #22622801C2semidirect
17. #22622793C2semidirect
18. #22620479C2semidirect
19. #22620464C2semidirect
20. #22620460C2semidirect
21. #22619788C2semidirect
22. #22619783C2semidirect
23. #22619759C2semidirect
24. #22619757C2semidirect
25. #22619716C2semidirect
26. #478×D73C2semidirect
27. #22618873C2semidirect
31. C73×#3380C2semidirect
33. #17989315C22semidirect
34. #17989314C22semidirect
35. #17989314C22semidirect
36. #17989312C22semidirect
40. #17989296C22semidirect
41. #17989296C22semidirect
43. #17989294C22semidirect
76. #17988997C22semidirect
77. #17988997C22semidirect
78. #17988995C22semidirect
79. #17988995C22semidirect
80. #17988995C22semidirect
81. #17988995C22semidirect
82. #17988995C22semidirect
83. #17988995C22semidirect
84. #17988994C22semidirect
85. #17988994C22semidirect
86. #17988993C22semidirect
87. #17988993C22semidirect
88. #17988991C22semidirect
89. #17988989C22semidirect
90. #17988989C22semidirect
91. #17988988C22semidirect
92. #17988987C22semidirect
93. #17988986C22semidirect
94. #17988986C22semidirect
95. #17988985C22semidirect
96. #17988984C22semidirect
97. #17988897C22semidirect
98. #17988897C22semidirect
99. #17988895C22semidirect
100. #17988895C22semidirect
101. #17988891C22semidirect
102. #17988891C22semidirect
111. #17988887C22semidirect
112. #17988887C22semidirect
117. #17988885C22semidirect
118. #17988885C22semidirect
121. #17988883C22semidirect
122. #17988881C22semidirect
123. #17988881C22semidirect
127. #17988875C22semidirect
128. #17988875C22semidirect
129. #17988871C22semidirect
130. #17988871C22semidirect
131. #17988869C22semidirect
133. #17988867C22semidirect
136. #17988865C22semidirect
137. #17988865C22semidirect
139. #17988718C22semidirect
140. #17988717C22semidirect
141. #17988717C22semidirect
142. #17988717C22semidirect
143. #17988716C22semidirect
144. #17988716C22semidirect
145. #17988711C22semidirect
189. #554×C73C22semidirect
190. #500×C73C22semidirect
191. #499×C73C22semidirect
192. #499×C73C22semidirect
195. #478×C73C22semidirect
196. #478×C73C22semidirect
198. #476×C73C22semidirect
199. C8×Q8×C73C22semidirect
208. #14556615Q8semidirect
481. #11924027C2×Q8semidirect
521. #11924017C2×Q8semidirect
522. #11924016C2×Q8semidirect
523. #11924013C2×Q8semidirect
525. #11924011C2×Q8semidirect
632. D8×C73C2×Q8semidirect
824. #3380D73semidirect
838. C73#61385semidirect
860. #554C2×D73semidirect
898. #500C2×D73semidirect
905. #499C2×D73semidirect
906. #499C2×D73semidirect
935. #478C2×D73semidirect
936. #478C2×D73semidirect
946. #476C2×D73semidirect
964. C8×Q8C2×D73semidirect
1342. D8Q8×D73semidirect

Maximal subgroups

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

subgroupindex
#226237512
#226237302
#226228882
#226228872
#226228852
#226228822
#226228762
#226228692
#226228572
#226228472
#226228282
#226228252
#226228082
#226228012
#226227932
#226204792
#226204642
#226204602
#226197882
#226197832
#226197592
#226197572
#226197162
#478×D732
#226188732
#226187562
C4×#145566152
C73×#33802
#6138573