Finite Group Databasebeta

← #32894671

Subgroups — #32894671

Order 18176.

1716 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602985C211yesmaximal, characteristic, complemented
2#22602284C211yesmaximal, characteristic, complemented
3#22601300C211yesmaximal, characteristic, complemented
4#22601217C211yesmaximal, characteristic, complemented
5#22601110C211yesmaximal, characteristic, complemented
6#22601002C211yesmaximal, characteristic, complemented
7#22600936C211yesmaximal, characteristic, complemented
8#22600902C211yesmaximal, characteristic, complemented
9#22600902C211yesmaximal, characteristic, complemented
10#22600872C211yesmaximal, characteristic, complemented
11#22600782C211yesmaximal, characteristic, complemented
12#22600743C211yesmaximal, characteristic, complemented
13#22600572C211yesmaximal, characteristic, complemented
14#22600558C211yesmaximal, characteristic, complemented
15#22600543C211yesmaximal, characteristic, complemented
16#22600498C211yesmaximal, characteristic, complemented
17#22600483C211yesmaximal, characteristic, complemented
18#22600177C211yesmaximal, characteristic, complemented
19#22599801C211yesmaximal, characteristic, complemented
20#22599753C211yesmaximal, characteristic, complemented
21#22599741C211yesmaximal, characteristic, complemented
22#22599640C211yesmaximal, characteristic, complemented
23#22599595C211yesmaximal, characteristic, complemented
24#22599521C211yesmaximal, characteristic, complemented
25#22598619C211yesmaximal, characteristic, complemented
26#22598526C211yesmaximal, characteristic, complemented
27#22598389C211yesmaximal, characteristic, complemented
28#22598193C211yesmaximal, characteristic, complemented
29#22598172C211yesmaximal, characteristic, complemented
30#22598139C211yesmaximal, characteristic, complemented
31C71×#2993C211yesmaximal, characteristic, complemented
32#17986750—21no—
33#17986744—21no—
34#17986734C2211yescharacteristic
35#17986727C2211yescharacteristic, complemented
36#17986719C2211yescharacteristic
37#17986716—21no—
38#17986714C2211yescharacteristic, complemented
39#17986709C2211yescharacteristic
40#17986709C2211yescharacteristic, complemented
41#17986700—21no—
42#17986695C2211yescharacteristic
43#17986695C2211yescharacteristic
44#17986695C2211yescharacteristic, complemented
45#17986689C2211yescharacteristic
46#17986689C2211yescharacteristic, complemented
47#17986689C2211yescharacteristic, complemented
48#17986685—21no—
49#17986676—21no—
50#17986674—21no—
51#17986653C2211yescharacteristic
52#17986645C2211yescharacteristic
53#17986645C2211yescharacteristic
54#17986638—21no—
55D4×D284C2211yescharacteristic
56#17986627C2211yescharacteristic, complemented
57#17986627C2211yescharacteristic, complemented
58#17986620C2211yescharacteristic
59#17986620C2211yescharacteristic, complemented
60#17986620C2211yescharacteristic, complemented
61#17986617—21no—
62#17986613—21no—
63#17986608—21no—
64#17986604C2211yescharacteristic
65#17986597—21no—
66#17986592—21no—
67#17986583—21no—
68#17986556C2211yescharacteristic, complemented
69#17986533C2211yescharacteristic
70#17986533C2211yescharacteristic, complemented
71#17986507—21no—
72#123×D71—21no—
73#17986479C2211yescharacteristic
74#17986473C2211yescharacteristic
75C2×C4×D284C2211yescharacteristic
76#17986408C2211yescharacteristic, complemented
77#17986408C2211yescharacteristic, complemented
78#17986401C2211yescharacteristic, complemented
79#17986401C2211yescharacteristic, complemented
80#17986401C2211yescharacteristic, complemented
81#17986397C2211yescharacteristic, complemented
82#17986364C2211yescharacteristic
83#17986359C2211yescharacteristic, complemented
84#17986354C2211yescharacteristic, complemented
85#17986354C2211yescharacteristic, complemented
86#17986354C2211yescharacteristic, complemented
87#17986346C2211yescharacteristic
88#17986341C2211yescharacteristic, complemented
89#17986341C2211yescharacteristic, complemented
90#17986341C2211yescharacteristic, complemented
91#17986341C2211yescharacteristic, complemented
92#17986335C2211yescharacteristic, complemented
93#17986330C2211yescharacteristic, complemented
94#17986330C2211yescharacteristic, complemented
95#17986324C2211yescharacteristic
96#17986324C2211yescharacteristic
97#17986324C2211yescharacteristic
98#17986324C2211yescharacteristic, complemented
99#17986324C2211yescharacteristic, complemented
100#17986324C2211yescharacteristic, complemented
101#17986318C2211yescharacteristic
102#17986318C2211yescharacteristic, complemented
103#17986318C2211yescharacteristic, complemented
104#17986318C2211yescharacteristic, complemented
105#17986313C2211yescharacteristic, complemented
106#17986307C2211yescharacteristic, complemented
107#17986307C2211yescharacteristic, complemented
108#17986307C2211yescharacteristic, complemented
109#17986307C2211yescharacteristic, complemented
110#17986300C2211yescharacteristic
111#17986300C2211yescharacteristic
112#17986300C2211yescharacteristic
113#17986300C2211yescharacteristic
114#17986300C2211yescharacteristic
115#17986300C2211yescharacteristic, complemented
116#17986300C2211yescharacteristic, complemented
117#17986300C2211yescharacteristic, complemented
118#17986300C2211yescharacteristic, complemented
119#17986300C2211yescharacteristic, complemented
120#17986300C2211yescharacteristic, complemented
121#17986300C2211yescharacteristic, complemented
122#17986295C2211yescharacteristic, complemented
123#17986295C2211yescharacteristic, complemented
124#17986295C2211yescharacteristic, complemented
125#17986290C2211yescharacteristic
126#17986290C2211yescharacteristic, complemented
127#17986290C2211yescharacteristic, complemented
128#17986290C2211yescharacteristic, complemented
129#17986285C2211yescharacteristic, complemented
130#17986280C2211yescharacteristic
131#17986280C2211yescharacteristic
132#17986280C2211yescharacteristic
133#17986280C2211yescharacteristic, complemented
134#17986280C2211yescharacteristic, complemented
135#17986280C2211yescharacteristic, complemented
136#17986257C2211yescharacteristic, complemented
137#17986252C2211yescharacteristic
138#17986252C2211yescharacteristic, complemented
139#17986245C2211yescharacteristic
140#17986245C2211yescharacteristic
141#17986245C2211yescharacteristic, complemented
142#17986245C2211yescharacteristic, complemented
143#17986245C2211yescharacteristic, complemented
144#17986240C2211yescharacteristic, complemented
145#17986235C2211yescharacteristic
146#17986235C2211yescharacteristic, complemented
147#17986228C2211yescharacteristic, complemented
148#17986222C2211yescharacteristic, complemented
149#17986222C2211yescharacteristic, complemented
150#17986222C2211yescharacteristic, complemented
151#17986215C2211yescharacteristic
152#17986215C2211yescharacteristic, complemented
153#17986215C2211yescharacteristic, complemented
154#17986215C2211yescharacteristic, complemented
155#17986215C2211yescharacteristic, complemented
156#17986200C2211yescharacteristic
157#17986195C2211yescharacteristic
158#17986163C2211yescharacteristic
159#17986152C2211yescharacteristic
160#17986152C2211yescharacteristic
161#17986146C2211yescharacteristic
162#17986135C2211yescharacteristic
163#17986135C2211yescharacteristic
164#17986112C2211yescharacteristic
165#17986112C2211yescharacteristic
166#17986107C2211yescharacteristic, complemented
167#17986101C2211yescharacteristic, complemented
168C4×#11765854C2211yescharacteristic
169C4×#11765854C2211yescharacteristic
170C4×#11765854C2211yescharacteristic
171C4×#11765854C2211yescharacteristic, complemented
172C4×#11765854C2211yescharacteristic, complemented
173C4×D568C2211yescharacteristic
174C4×D568C2211yescharacteristic, complemented
175C4×D568C2211yescharacteristic, complemented
176#17986041C2211yescharacteristic, complemented
177#17986041C2211yescharacteristic, complemented
178#17986041C2211yescharacteristic, complemented
179#17986041C2211yescharacteristic, complemented
180#17986037C2211yescharacteristic, complemented
181C2×#14556062C2211yescharacteristic, complemented
182#17986005C2211yescharacteristic
183#17986005C2211yescharacteristic
184#17986005C2211yescharacteristic
185#17986001C2211yescharacteristic
186#17985996C2211yescharacteristic
187C2×#14556050C2211yescharacteristic
188#529×C71C2211yescharacteristic
189#446×C71C2211yescharacteristic, complemented
190C8×Q8×C71C2211yescharacteristic, complemented
191#436×C71C2211yescharacteristic
192#436×C71C2211yescharacteristic, complemented
193#436×C71C2211yescharacteristic, complemented
194#435×C71C2211yescharacteristic
195#435×C71C2211yescharacteristic, complemented
196C8×D4×C71C2211yescharacteristic, complemented
197#433×C71C2211yescharacteristic, complemented
198#433×C71C2211yescharacteristic, complemented
199#431×C71C2211yescharacteristic, complemented
200#424×C71C2211yescharacteristic, complemented
201#424×C71C2211yescharacteristic, complemented
202#423×C71C2211yescharacteristic, complemented
203C2×#11765865C2311yescharacteristic
204C2×#11765864—21no—
205C22×D284C2311yescharacteristic
206C22×D284C2311yescharacteristic
207C2×D4×D71—21no—
208C22×C4×D71—21no—
209C2×Dic284C2311yescharacteristic
210C2×#11765854C2311yescharacteristic
211C2×#11765854C2311yescharacteristic
212C2×#11765854C2311yescharacteristic
213C2×#11765854C2311yescharacteristic
214C2×D568C2311yescharacteristic
215C2×D568C2311yescharacteristic
216C2×D568C2311yescharacteristic
217#14556128C2311yescharacteristic
218#14556128C2311yescharacteristic
219#14556128C2311yescharacteristic
220#14556128C2311yescharacteristic
221#14556128C2311yescharacteristic
222#14556127—21no—
223#14556127—21no—
224#14556126—21no—
225#14556125C2311yescharacteristic
226#14556123—21no—
227#14556123—21no—
228#14556123—21no—
229#14556123—21no—
230#14556123—21no—
231#14556123—21no—
232#14556122—21no—
233#14556122—21no—
234#14556121—21no—
235#14556121—21no—
236#14556121—21no—
237#14556121—21no—
238#14556121—21no—
239#14556120C2311yescharacteristic
240#14556120C2311yescharacteristic
241#14556120C2311yescharacteristic
242#14556120C2311yescharacteristic
243#14556120C2311yescharacteristic
244#14556120C2311yescharacteristic
245#14556120C2311yescharacteristic
246#14556119—21no—
247#14556119—21no—
248#14556118—21no—
249#14556118—21no—
250#14556118—21no—
251#14556118—21no—
252#14556118—21no—
253#14556117—21no—
254#14556116C2311yescharacteristic
255#14556116C2311yescharacteristic
256#14556116C2311yescharacteristic
257#14556115—21no—
258#14556114—21no—
259#14556114—21no—
260#14556114—21no—
261#14556114—21no—
262#14556114—21no—
263#14556113—21no—
264#14556113—21no—
265#14556113—21no—
266#14556113—21no—
267#14556113—21no—
268#14556113—21no—
269#14556112—21no—
270#14556112—21no—
271#14556111—21no—
272#14556111—21no—
273#14556110—21no—
274#14556110—21no—
275#14556110—21no—
276#14556110—21no—
277#14556110—21no—
278#14556110—21no—
279#14556109—21no—
280#14556109—21no—
281#14556109—21no—
282#14556108—21no—
283#14556107—21no—
284#14556107—21no—
285#14556107C2311yescharacteristic
286#14556107C2311yescharacteristic
287#14556107C2311yescharacteristic
288#14556107C2311yescharacteristic
289#14556107C2311yescharacteristic
290#14556106—21no—
291#14556106—21no—
292#14556106—21no—
293#14556106—21no—
294#14556106—21no—
295#14556106—21no—
296#14556106—21no—
297#14556105—21no—
298#14556105—21no—
299#14556105—21no—
300#14556105—21no—
301#14556104—21no—
302#14556104—21no—
303#14556103—21no—
304#14556102C2311yescharacteristic
305#14556102C2311yescharacteristic
306#14556102C2311yescharacteristic
307#14556102C2311yescharacteristic
308#14556102C2311yescharacteristic
309#14556102C2311yescharacteristic
310#14556102C2311yescharacteristic
311#14556101—21no—
312#14556101—21no—
313#14556101—21no—
314#14556101—21no—
315#14556100—21no—
316#14556100—21no—
317#14556100—21no—
318#14556099—21no—
319#14556098—21no—
320#14556098—21no—
321#14556096—21no—
322#14556096—21no—
323C4×Dic142—21no—
324C4×Dic142—21no—
325C4×Dic142C2311yescharacteristic
326C4×Dic142C2311yescharacteristic
327C4×Dic142C2311yescharacteristic
328C4×Dic142C2311yescharacteristic
329C4×Dic142C2311yescharacteristic
330#14556093—21no—
331#14556093—21no—
332C4×D284—21no—
333C4×D284—21no—
334C4×D284C2311yescharacteristic
335C4×D284C2311yescharacteristic
336C4×D284C2311yescharacteristic
337C4×D284C2311yescharacteristic
338C4×D284C2311yescharacteristic
339C4×D284C2311yescharacteristic
340C4×D284C2311yescharacteristic
341C4×D284C2311yescharacteristic
342C4×D284C2311yescharacteristic
343C4×D284C2311yescharacteristic
344C4×D284C2311yescharacteristic
345#14556090—21no—
346#14556090—21no—
347#14556090—21no—
348C4×C22⋊D71—21no—
349C4×C22⋊D71—21no—
350(C22⋊D71)⋊C4—21no—
351(C22⋊D71)⋊C4—21no—
352(C22⋊D71)⋊C4—21no—
353(C22⋊D71)⋊C4—21no—
354(C22⋊D71)⋊C4—21no—
355#14556087C2311yescharacteristic
356#14556087C2311yescharacteristic
357#14556087C2311yescharacteristic
358#14556087C2311yescharacteristic
359#14556087C2311yescharacteristic
360#14556086—21no—
361#14556086—21no—
362#14556085—21no—
363#14556085—21no—
364#14556084—21no—
365#14556084—21no—
366#14556084—21no—
367C2×C4⋊Dic71C2311yescharacteristic
368C2×C4⋊Dic71C2311yescharacteristic
369C2×C4⋊Dic71C2311yescharacteristic
370C2×C4⋊Dic71C2311yescharacteristic
371C4⋊C4×D71—21no—
372C4⋊C4×D71—21no—
373C4⋊C4×D71—21no—
374C2×(C2×D71)⋊C4—21no—
375C22⋊C4×D71—21no—
376C22⋊C4×D71—21no—
377C22⋊C4×D71—21no—
378C22⋊C4×D71—21no—
379#14556062C2311yescharacteristic
380#14556062C2311yescharacteristic
381#14556062C2311yescharacteristic
382#14556062C2311yescharacteristic
383#14556062C2311yescharacteristic
384#14556062C2311yescharacteristic
385#14556062C2311yescharacteristic
386#14556062C2311yescharacteristic
387#14556062C2311yescharacteristic
388#14556062C2311yescharacteristic
389#14556062C2311yescharacteristic
390#14556062C2311yescharacteristic
391#14556060C2311yescharacteristic
392#14556060C2311yescharacteristic
393#14556060C2311yescharacteristic
394#14556060C2311yescharacteristic
395#14556060C2311yescharacteristic
396#14556060C2311yescharacteristic
397#14556060C2311yescharacteristic
398#14556060C2311yescharacteristic
399#14556060C2311yescharacteristic
400#14556060C2311yescharacteristic
401#14556060C2311yescharacteristic
402#14556060C2311yescharacteristic
403#14556053C2311yescharacteristic
404#14556053C2311yescharacteristic
405#14556053C2311yescharacteristic
406#14556053C2311yescharacteristic
407#14556053C2311yescharacteristic
408#14556053C2311yescharacteristic
409#14556053C2311yescharacteristic
410#14556053C2311yescharacteristic
411#14556053C2311yescharacteristic
412#14556053C2311yescharacteristic
413#14556050C2311yescharacteristic
414#14556050C2311yescharacteristic
415#14556050C2311yescharacteristic
416#14556050C2311yescharacteristic
417#14556050C2311yescharacteristic
418#14556050C2311yescharacteristic
419#14556050C2311yescharacteristic
420#14556050C2311yescharacteristic
421#14556050C2311yescharacteristic
422#14556050C2311yescharacteristic
423#14556050C2311yescharacteristic
424#14556050C2311yescharacteristic
425#14556050C2311yescharacteristic
426#14556050C2311yescharacteristic
427#14556050C2311yescharacteristic
428#14556050C2311yescharacteristic
429#14556050C2311yescharacteristic
430#14556050C2311yescharacteristic
431#14556050C2311yescharacteristic
432#14556050C2311yescharacteristic
433#14556050C2311yescharacteristic
434#14556050C2311yescharacteristic
435C2×M16×C71C2311yescharacteristic
436C2×M16×C71C2311yescharacteristic
437C2×M16×C71C2311yescharacteristic
438C2×M16×C71C2311yescharacteristic
439C22×C8×C71C2311yescharacteristic
440C22×C8×C71C2311yescharacteristic
441#126×C71D411yescharacteristic
442#126×C71D411yescharacteristic
443#125×C71D411yescharacteristic
444#124×C71D411yescharacteristic
445#123×C71D411yescharacteristic
446#123×C71D411yescharacteristic
447C22⋊Q8×C71D411yescharacteristic
448#121×C71D411yescharacteristic
449C4×Q8×C71C2311yescharacteristic
450C4×D4×C71C2311yescharacteristic
451C4×D4×C71C2311yescharacteristic
452C4×D4×C71C2311yescharacteristic
453#117×C71C2311yescharacteristic
454#117×C71C2311yescharacteristic
455C2×C42×C71C2311yescharacteristic
456C4⋊C8×C71C2311yescharacteristic
457C4⋊C8×C71C2311yescharacteristic
458C4⋊C8×C71C2311yescharacteristic
459C4⋊C8×C71C2311yescharacteristic
460C4⋊C8×C71C2311yescharacteristic
461C4⋊C8×C71C2311yescharacteristic
462C4⋊C8×C71C2311yescharacteristic
463C4⋊C8×C71C2311yescharacteristic
464C4⋊C8×C71C2311yescharacteristic
465C4⋊C8×C71C2311yescharacteristic
466C22⋊C8×C71C2311yescharacteristic
467C22⋊C8×C71C2311yescharacteristic
468C22⋊C8×C71C2311yescharacteristic
469C22⋊C8×C71C2311yescharacteristic
470C22⋊C8×C71C2311yescharacteristic
471C22⋊C8×C71C2311yescharacteristic
472#97×C71C2311yescharacteristic
473#97×C71C2311yescharacteristic
474C4×C8×C71C2311yescharacteristic
475C4×C8×C71C2311yescharacteristic
476C4×C8×C71C2311yescharacteristic
477C4×C8×C71C2311yescharacteristic
478C23×D71—21no—
479C23×D71—21no—
480#11765865—22no—
481#11765865—41no—
482#11765864—82no—
483C2×Dic142—21no—
484C2×Dic142—21no—
485C2×Dic142—21no—
486C2×Dic142—21no—
487C2×Dic142—21no—
488C2×Dic142C2411yescharacteristic
489C2×Dic142C2411yescharacteristic
490C2×D284—22no—
491C2×D284—22no—
492C2×D284—21no—
493C2×D284—21no—
494C2×D284—21no—
495C2×D284—21no—
496C2×D284—41no—
497C2×D284—41no—
498C2×D284C2411yescharacteristic
499C2×D284C2411yescharacteristic
500C2×D284C2411yescharacteristic
501C2×D284C2411yescharacteristic
502C2×C22⋊D71—21no—
503C2×C22⋊D71—21no—
504C2×C22⋊D71—21no—
505C2×C22⋊D71—21no—
506C2×C22⋊D71—21no—
507C2×C22⋊D71—21no—
508C2×C22⋊D71—21no—
509C2×C22⋊D71—21no—
510D4×D71—82no—
511C22×Dic71—21no—
512C22×Dic71—21no—
513C22×Dic71—21no—
514C22×Dic71—21no—
515C2×C4×D71—21no—
516C2×C4×D71—21no—
517C2×C4×D71—21no—
518C2×C4×D71—21no—
519C2×C4×D71—21no—
520C2×C4×D71—21no—
521C2×C4×D71—21no—
522C2×C4×D71—21no—
523C2×C4×D71—21no—
524C2×C4×D71—21no—
525C2×C4×D71—21no—
526C2×C4×D71—21no—
527C2×C4×D71—82no—
528Dic284—41no—
529#11765854—22no—
530#11765854—41no—
531#11765854—41no—
532#11765854—41no—
533D568—22no—
534D568—41no—
535D568—41no—
536C4⋊Dic71—21no—
537C4⋊Dic71—21no—
538C4⋊Dic71—21no—
539C4⋊Dic71—21no—
540C4⋊Dic71—21no—
541C4⋊Dic71—21no—
542C4⋊Dic71—21no—
543C4⋊Dic71—21no—
544C4⋊Dic71—21no—
545C4⋊Dic71C2411yescharacteristic
546C4⋊Dic71C2411yescharacteristic
547C4⋊Dic71C2411yescharacteristic
548C4⋊Dic71C2411yescharacteristic
549C4⋊Dic71C2411yescharacteristic
550C4⋊Dic71C2411yescharacteristic
551C4⋊Dic71C2411yescharacteristic
552C4⋊Dic71C2411yescharacteristic
553C4⋊Dic71C2411yescharacteristic
554C4⋊Dic71C2411yescharacteristic
555Dic71⋊C4—21no—
556Dic71⋊C4—21no—
557Dic71⋊C4—21no—
558Dic71⋊C4—21no—
559Dic71⋊C4—21no—
560Dic71⋊C4—21no—
561Dic71⋊C4—21no—
562Dic71⋊C4—21no—
563Dic71⋊C4—21no—
564Dic71⋊C4—21no—
565Dic71⋊C4—21no—
566Dic71⋊C4—21no—
567Dic71⋊C4—21no—
568Dic71⋊C4—21no—
569Dic71⋊C4—21no—
570Dic71⋊C4—21no—
571Dic71⋊C4—21no—
572Dic71⋊C4—21no—
573Dic71⋊C4—21no—
574Dic71⋊C4—21no—
575Dic71⋊C4—21no—
576Dic71⋊C4—21no—
577Dic71⋊C4—21no—
578Dic71⋊C4—21no—
579C22⋊Dic71—21no—
580C22⋊Dic71—21no—
581C22⋊Dic71—21no—
582C22⋊Dic71—21no—
583C22⋊Dic71—21no—
584C22⋊Dic71—21no—
585C22⋊Dic71—21no—
586C22⋊Dic71—21no—
587C22⋊Dic71—21no—
588C22⋊Dic71—21no—
589(C2×D71)⋊C4—21no—
590(C2×D71)⋊C4—21no—
591(C2×D71)⋊C4—21no—
592(C2×D71)⋊C4—21no—
593(C2×D71)⋊C4—21no—
594(C2×D71)⋊C4—21no—
595(C2×D71)⋊C4—21no—
596(C2×D71)⋊C4—21no—
597(C2×D71)⋊C4—21no—
598(C2×D71)⋊C4—21no—
599(C2×D71)⋊C4—21no—
600(C2×D71)⋊C4—21no—
601(C2×D71)⋊C4—21no—
602(C2×D71)⋊C4—21no—
603(C2×D71)⋊C4—21no—
604(C2×D71)⋊C4—21no—
605(C2×D71)⋊C4—21no—
606(C2×D71)⋊C4—21no—
607(C2×D71)⋊C4—21no—
608(C2×D71)⋊C4—21no—
609(C2×D71)⋊C4—21no—
610(C2×D71)⋊C4—21no—
611(C2×D71)⋊C4—21no—
612(C2×D71)⋊C4—21no—
613C4×Dic71—21no—
614C4×Dic71—21no—
615C4×Dic71—21no—
616C4×Dic71—21no—
617C4×Dic71—21no—
618C4×Dic71—21no—
619C4×Dic71—21no—
620C4×Dic71—21no—
621C4×Dic71—21no—
622C4×Dic71—21no—
623C2×Q8×C71C2×D411yescharacteristic
624C2×D4×C71C2×D411yescharacteristic
625C2×D4×C71C2×D411yescharacteristic
626C2×D4×C71C2×D411yescharacteristic
627C22×C4×C71C2×D411yescharacteristic
628C22×C4×C71C2×D411yescharacteristic
629C22×C4×C71C2411yescharacteristic
630C22×C4×C71C2411yescharacteristic
631C22×C4×C71C2411yescharacteristic
632M16×C71—41no—
633M16×C71—41no—
634M16×C71—41no—
635M16×C71—41no—
636C2×C8×C71—41no—
637C2×C8×C71—41no—
638C2×C8×C71C2411yescharacteristic
639C2×C8×C71C2411yescharacteristic
640C2×C8×C71C2411yescharacteristic
641C2×C8×C71C2411yescharacteristic
642C2×C8×C71C2411yescharacteristic
643C2×C8×C71C2411yescharacteristic
644C2×C8×C71C2411yescharacteristic
645C2×C8×C71C2411yescharacteristic
646C4⋊C4×C71C2×D411yescharacteristic
647C4⋊C4×C71C2×D411yescharacteristic
648C4⋊C4×C71C2×D411yescharacteristic
649C4⋊C4×C71C2×D411yescharacteristic
650C4⋊C4×C71C2×D411yescharacteristic
651C4⋊C4×C71C2×D411yescharacteristic
652C4⋊C4×C71C2×D411yescharacteristic
653C4⋊C4×C71C2×D411yescharacteristic
654C4⋊C4×C71C2×D411yescharacteristic
655C4⋊C4×C71C2×D411yescharacteristic
656C22⋊C4×C71C2×D411yescharacteristic
657C22⋊C4×C71C2×D411yescharacteristic
658C22⋊C4×C71C2×D411yescharacteristic
659C22⋊C4×C71C2×D411yescharacteristic
660C22⋊C4×C71C2×D411yescharacteristic
661C22⋊C4×C71C2×D411yescharacteristic
662C22⋊C4×C71C2×D411yescharacteristic
663C22⋊C4×C71C2×D411yescharacteristic
664C22⋊C4×C71C2×D411yescharacteristic
665C22⋊C4×C71C2×D411yescharacteristic
666C42×C71C2×D411yescharacteristic
667C42×C71C2×D411yescharacteristic
668C42×C71C2411yescharacteristic
669C42×C71C2411yescharacteristic
670C42×C71C2411yescharacteristic
671C42×C71C2411yescharacteristic
672C23×C71C22×D411yescharacteristic
673C23×C71C22×D411yescharacteristic
674C23×C71C22×D411yescharacteristic
675C22×D71—21no—
676C22×D71—21no—
677C22×D71—21no—
678C22×D71—21no—
679C22×D71—42no—
680C22×D71—42no—
681C22×D71—42no—
682C22×D71—81no—
683C22×D71—81no—
684C22×D71—81no—
685Q8×C71—41no—
686D4×C71—41no—
687D4×C71—41no—
688D4×C71—41no—
689C2×C4×C71—21no—
690C2×C4×C71—21no—
691C2×C4×C71—21no—
692C2×C4×C71—21no—
693C2×C4×C71—21no—
694C2×C4×C71—21no—
695C2×C4×C71—41no—
696C2×C4×C71—41no—
697C2×C4×C71C22×D411yescharacteristic
698C2×C4×C71C22×D411yescharacteristic
699C2×C4×C71C22×D411yescharacteristic
700C2×C4×C71C22×D411yescharacteristic
701C2×C4×C71C22×D411yescharacteristic
702C2×C4×C71C22×D411yescharacteristic
703C2×C4×C71C22×D411yescharacteristic
704C2×C4×C71C22×D411yescharacteristic
705C2×C4×C71C22×D411yescharacteristic
706C2×C4×C71C22×D411yescharacteristic
707C2×C4×C71C22×D411yescharacteristic
708C2×C4×C71C2511yescharacteristic
709C22⋊D71—42no—
710C22⋊D71—42no—
711C22⋊D71—81no—
712C22⋊D71—81no—
713C22⋊D71—81no—
714C22⋊D71—81no—
715C22⋊D71—81no—
716C22⋊D71—81no—
717C2×Dic71—21no—
718C2×Dic71—21no—
719C2×Dic71—21no—
720C2×Dic71—21no—
721C2×Dic71—21no—
722C2×Dic71—21no—
723C2×Dic71—21no—
724C2×Dic71—21no—
725C2×Dic71—21no—
726C2×Dic71—21no—
727C2×Dic71—21no—
728C2×Dic71—21no—
729C2×Dic71—42no—
730C2×Dic71—81no—
731C2×Dic71—81no—
732C2×Dic71—81no—
733D284—21no—
734D284—21no—
735D284—21no—
736D284—21no—
737D284—21no—
738D284—21no—
739D284—21no—
740D284—42no—
741D284—42no—
742D284—81no—
743D284—81no—
744D2842−1+412yes—
745C4×D71—42no—
746C4×D71—81no—
747C4×D71—81no—
748C4×D71—81no—
749C4×D71—81no—
750C4×D71—81no—
751C4×D71—81no—
752C4×D71—81no—
753C4×D71—81no—
754C4×D71—81no—
755C4×D71—81no—
756C4×D71—81no—
757Dic142—21no—
758Dic142—21no—
759Dic142—21no—
760Dic142—21no—
761Dic142—81no—
762Dic142—81no—
763Dic142—81no—
764Dic142—81no—
765Dic142—81no—
766C8×C71—21no—
767C8×C71—21no—
768C8×C71—21no—
769C8×C71—21no—
770C8×C71—21no—
771C8×C71—21no—
772C8×C71—21no—
773C8×C71—21no—
774C22×C71—21no—
775C22×C71—21no—
776C22×C71—21no—
777C22×C71—21no—
778C22×C71—21no—
779C22×C71—21no—
780C22×C71—21no—
781C22×C71—21no—
782C22×C71—21no—
783C22×C71C23×D411yescharacteristic
784C2×D71—22no—
785C2×D71—41no—
786C2×D71—41no—
787C2×D71—41no—
788C2×D71—41no—
789C2×D71—41no—
790C2×D71—41no—
791C2×D71—41no—
792C2×D71—41no—
793C2×D71—41no—
794C2×D71—41no—
795C2×D71—41no—
796C2×D71—84no—
797C2×D71—162no—
798C4×C71—21no—
799C4×C71—21no—
800C4×C71—21no—
801C4×C71—21no—
802C4×C71—21no—
803C4×C71—21no—
804C4×C71—21no—
805C4×C71—21no—
806C4×C71—21no—
807C4×C71—21no—
808C4×C71—21no—
809C4×C71C2×2−1+411yescharacteristic
810C4×C71#58511yescharacteristic
811Dic71—41no—
812Dic71—41no—
813Dic71—41no—
814Dic71—41no—
815Dic71—41no—
816Dic71—41no—
817Dic71—41no—
818Dic71—41no—
819Dic71—41no—
820Dic71—41no—
821Dic71—41no—
822Dic71—41no—
823#62175—711nomaximal, Sylow
824C2×C71—41no—
825C2×C71—41no—
826C2×C71—41no—
827C2×C71#348911yescharacteristic
828C2×C71#358411yescharacteristic
829C2×C71#358511yescharacteristic
830D71—42no—
831D71—81no—
832D71—81no—
833D71—81no—
834#3565—711no—
835#3513—711no—
836#3389—711no—
837#3381—711no—
838#3371—711no—
839#3361—711no—
840#3354—711no—
841#3351—711no—
842#3351—711no—
843#3349—711no—
844#3343—711no—
845#3339—711no—
846#3324—711no—
847#3323—711no—
848#3322—711no—
849#3319—711no—
850#3318—711no—
851#3296—711no—
852#3262—711no—
853#3257—711no—
854#3256—711no—
855#3244—711no—
856#3241—711no—
857#3233—711no—
858#3125—711no—
859#3118—711no—
860#3105—711no—
861#3083—711no—
862#3081—711no—
863#3077—711no—
864#2993D7111yescharacteristic, complemented
865C71#6217511yescharacteristic, complemented, Sylow
866#563—1421no—
867#562—1421no—
868#559—711no—
869#557—711no—
870#556—711no—
871#556—1421no—
872#555—711no—
873#554—711no—
874#554—711no—
875#553—711no—
876#553—711no—
877#553—711no—
878#553—1421no—
879#552—711no—
880#552—711no—
881#552—711no—
882#552—1421no—
883#551—1421no—
884#551—1421no—
885#547—711no—
886#546—711no—
887#546—711no—
888#546—1421no—
889D42—711no—
890#544—711no—
891#544—711no—
892#542—711no—
893#542—711no—
894#542—711no—
895#542—1421no—
896#542—1421no—
897#541—1421no—
898#540—711no—
899#539—1421no—
900#539—1421no—
901#538—1421no—
902#533—711no—
903#529—711no—
904#529—711no—
905#529C2×D7111yescharacteristic
906#525—1421no—
907C2×#123—1421no—
908#520—711no—
909#518—711no—
910C2×C4×D4—711no—
911#501—711no—
912#501—711no—
913#499—711no—
914#499—711no—
915#499—711no—
916#498—711no—
917#490—711no—
918#489—711no—
919#488—711no—
920#488—711no—
921#488—711no—
922#486—711no—
923#485—711no—
924#485—711no—
925#485—711no—
926#485—711no—
927#484—711no—
928#483—711no—
929#483—711no—
930#482—711no—
931#482—711no—
932#482—711no—
933#482—711no—
934#482—711no—
935#482—711no—
936#481—711no—
937#481—711no—
938#481—711no—
939#481—711no—
940#480—711no—
941#479—711no—
942#479—711no—
943#479—711no—
944#479—711no—
945#478—711no—
946#478—711no—
947#478—711no—
948#478—711no—
949#478—711no—
950#478—711no—
951#478—711no—
952#478—711no—
953#478—711no—
954#478—711no—
955#478—711no—
956#478—711no—
957#477—711no—
958#477—711no—
959#477—711no—
960#476—711no—
961#476—711no—
962#476—711no—
963#476—711no—
964#475—711no—
965#474—711no—
966#474—711no—
967#474—711no—
968#474—711no—
969#474—711no—
970#474—711no—
971#470—711no—
972#469—711no—
973#469—711no—
974#468—711no—
975#468—711no—
976#468—711no—
977#468—711no—
978#468—711no—
979#467—711no—
980#466—711no—
981#466—711no—
982#465—711no—
983#464—711no—
984#464—711no—
985#464—711no—
986#463—711no—
987#463—711no—
988#463—711no—
989#463—711no—
990#463—711no—
991#460—711no—
992#459—711no—
993#452—711no—
994#450—711no—
995#450—711no—
996#449—711no—
997#447—711no—
998#447—711no—
999#446C2×D7111yescharacteristic, complemented
1000C8×Q8C2×D7111yescharacteristic, complemented
1001#442—711no—
1002#442—711no—
1003#441—711no—
1004#440—711no—
1005C4×SD16—711no—
1006C4×SD16—711no—
1007C4×SD16—711no—
1008C4×SD16—711no—
1009C4×SD16—711no—
1010C4×D8—711no—
1011C4×D8—711no—
1012C4×D8—711no—
1013#436C2×D7111yescharacteristic
1014#436C2×D7111yescharacteristic, complemented
1015#436C2×D7111yescharacteristic, complemented
1016#435C2×D7111yescharacteristic
1017#435C2×D7111yescharacteristic, complemented
1018C8×D4C2×D7111yescharacteristic, complemented
1019#433C2×D7111yescharacteristic, complemented
1020#433C2×D7111yescharacteristic, complemented
1021#431C2×D7111yescharacteristic, complemented
1022#428—711no—
1023#428—711no—
1024#428—711no—
1025#428—711no—
1026#427—711no—
1027C2×#107—711no—
1028#424C2×D7111yescharacteristic, complemented
1029#424C2×D7111yescharacteristic, complemented
1030#423C2×D7111yescharacteristic, complemented
1031#418—711no—
1032#418—711no—
1033#418—711no—
1034#417—711no—
1035#416—711no—
1036C2×#102—711no—
1037C2×#41—711no—
1038C2×#41—1421no—
1039C22×D4—711no—
1040C22×D4—711no—
1041C22×D4—1421no—
1042C23×C4—1421no—
1043C2×Q16—711no—
1044C2×SD16—711no—
1045C2×SD16—711no—
1046C2×SD16—711no—
1047C2×SD16—711no—
1048C2×D8—711no—
1049C2×D8—711no—
1050C2×D8—711no—
1051C2×M16C22×D7111yescharacteristic
1052C2×M16C22×D7111yescharacteristic
1053C2×M16C22×D7111yescharacteristic
1054C2×M16C22×D7111yescharacteristic
1055C22×C8C22×D7111yescharacteristic
1056C22×C8C22×D7111yescharacteristic
1057C4⋊Q8—711no—
1058C4⋊Q8—711no—
1059C4⋊Q8—711no—
1060C4⋊Q8—711no—
1061C4⋊Q8—711no—
1062C4⋊Q8—1421no—
1063C4⋊Q8—1421no—
1064C4⋊Q8—1421no—
1065#127—711no—
1066#126—1421no—
1067#126—1421no—
1068#126—1421no—
1069#126—1421no—
1070#126—1421no—
1071#126—1421no—
1072#126—1421no—
1073#126—1421no—
1074#126—1421no—
1075#126—1421no—
1076#126—1421no—
1077#126—1421no—
1078#126—1421no—
1079#126D28411yescharacteristic
1080#126D28411yescharacteristic
1081#125—711no—
1082#125—711no—
1083#125—711no—
1084#125—711no—
1085#125—711no—
1086#125—711no—
1087#125—711no—
1088#125—1421no—
1089#125—1421no—
1090#125—1421no—
1091#125—1421no—
1092#125—1421no—
1093#125—1421no—
1094#125—1421no—
1095#125D28411yescharacteristic
1096#124—711no—
1097#124—711no—
1098#124—711no—
1099#124—1421no—
1100#124—1421no—
1101#124—1421no—
1102#124—1421no—
1103#124—1421no—
1104#124—1421no—
1105#124—1421no—
1106#124D28411yescharacteristic
1107#123—1421no—
1108#123—1421no—
1109#123—1421no—
1110#123—1421no—
1111#123—1421no—
1112#123—1421no—
1113#123—1421no—
1114#123—1421no—
1115#123—1421no—
1116#123—1421no—
1117#123—1421no—
1118#123—1421no—
1119#123—1421no—
1120#123—1421no—
1121#123—1421no—
1122#123—1421no—
1123#123—1421no—
1124#123—1421no—
1125#123—1421no—
1126#123D28411yescharacteristic
1127#123D28411yescharacteristic
1128C22⋊Q8—711no—
1129C22⋊Q8—711no—
1130C22⋊Q8—711no—
1131C22⋊Q8—711no—
1132C22⋊Q8—711no—
1133C22⋊Q8—1421no—
1134C22⋊Q8—1421no—
1135C22⋊Q8—1421no—
1136C22⋊Q8—1421no—
1137C22⋊Q8—1421no—
1138C22⋊Q8—1421no—
1139C22⋊Q8—1421no—
1140C22⋊Q8—1421no—
1141C22⋊Q8—1421no—
1142C22⋊Q8—1421no—
1143C22⋊Q8—1421no—
1144C22⋊Q8—1421no—
1145C22⋊Q8—1421no—
1146C22⋊Q8—1421no—
1147C22⋊Q8—1421no—
1148C22⋊Q8—1421no—
1149C22⋊Q8D28411yescharacteristic
1150#121—711no—
1151#121—711no—
1152#121—711no—
1153#121—711no—
1154#121—711no—
1155#121—711no—
1156#121—711no—
1157#121—1421no—
1158#121—1421no—
1159#121—1421no—
1160#121—1421no—
1161#121—1421no—
1162#121—1421no—
1163#121—1421no—
1164#121—1421no—
1165#121—1421no—
1166#121D28411yescharacteristic
1167#120—1421no—
1168#120—1421no—
1169#120—1421no—
1170#120—1421no—
1171C4×Q8—711no—
1172C4×Q8—711no—
1173C4×Q8—711no—
1174C4×Q8—711no—
1175C4×Q8—711no—
1176C4×Q8—1421no—
1177C4×Q8—1421no—
1178C4×Q8—1421no—
1179C4×Q8—1421no—
1180C4×Q8C22×D7111yescharacteristic
1181C4×D4—711no—
1182C4×D4—711no—
1183C4×D4—711no—
1184C4×D4—711no—
1185C4×D4—711no—
1186C4×D4—711no—
1187C4×D4—711no—
1188C4×D4—711no—
1189C4×D4—711no—
1190C4×D4—711no—
1191C4×D4—711no—
1192C4×D4—1421no—
1193C4×D4—1421no—
1194C4×D4—1421no—
1195C4×D4—1421no—
1196C4×D4—1421no—
1197C4×D4—1421no—
1198C4×D4—1421no—
1199C4×D4—1421no—
1200C4×D4—1421no—
1201C4×D4—1421no—
1202C4×D4—1421no—
1203C4×D4—1421no—
1204C4×D4C22×D7111yescharacteristic
1205C4×D4C22×D7111yescharacteristic
1206C4×D4C22×D7111yescharacteristic
1207#117—711no—
1208#117—711no—
1209#117—711no—
1210#117—711no—
1211#117—711no—
1212#117—1421no—
1213#117—1421no—
1214#117—1421no—
1215#117—1421no—
1216#117—1421no—
1217#117—1421no—
1218#117—1421no—
1219#117C22×D7111yescharacteristic
1220#117C22×D7111yescharacteristic
1221C2×C4⋊C4—711no—
1222C2×C4⋊C4—711no—
1223C2×C4⋊C4—711no—
1224C2×C4⋊C4—711no—
1225C2×C4⋊C4—1421no—
1226C2×C4⋊C4—1421no—
1227C2×C4⋊C4—1421no—
1228C2×C22⋊C4—1421no—
1229C2×C22⋊C4—1421no—
1230C2×C22⋊C4—1421no—
1231C2×C22⋊C4—1421no—
1232C2×C22⋊C4—1421no—
1233C2×C42C22×D7111yescharacteristic
1234#107—711no—
1235#107—711no—
1236#107—711no—
1237#107—711no—
1238#107—711no—
1239#107—711no—
1240#107—711no—
1241#107—711no—
1242#107—711no—
1243#107—711no—
1244#107—711no—
1245#107—711no—
1246#106—711no—
1247#106—711no—
1248#106—711no—
1249#106—711no—
1250#106—711no—
1251#106—711no—
1252#106—711no—
1253#106—711no—
1254#106—711no—
1255#106—711no—
1256#106—711no—
1257#106—711no—
1258C4⋊C8C22×D7111yescharacteristic
1259C4⋊C8C22×D7111yescharacteristic
1260C4⋊C8C22×D7111yescharacteristic
1261C4⋊C8C22×D7111yescharacteristic
1262C4⋊C8C22×D7111yescharacteristic
1263C4⋊C8C22×D7111yescharacteristic
1264C4⋊C8C22×D7111yescharacteristic
1265C4⋊C8C22×D7111yescharacteristic
1266C4⋊C8C22×D7111yescharacteristic
1267C4⋊C8C22×D7111yescharacteristic
1268#103—711no—
1269#103—711no—
1270#103—711no—
1271#103—711no—
1272#103—711no—
1273#103—711no—
1274#103—711no—
1275#103—711no—
1276#103—711no—
1277#103—711no—
1278#102—711no—
1279#102—711no—
1280#102—711no—
1281#102—711no—
1282#102—711no—
1283#102—711no—
1284#102—711no—
1285#102—711no—
1286#102—711no—
1287#102—711no—
1288#102—711no—
1289#102—711no—
1290#102—711no—
1291#102—711no—
1292#102—711no—
1293#102—711no—
1294#102—711no—
1295#102—711no—
1296#102—711no—
1297#102—711no—
1298#102—711no—
1299#102—711no—
1300C22⋊C8C22×D7111yescharacteristic
1301C22⋊C8C22×D7111yescharacteristic
1302C22⋊C8C22×D7111yescharacteristic
1303C22⋊C8C22×D7111yescharacteristic
1304C22⋊C8C22×D7111yescharacteristic
1305C22⋊C8C22×D7111yescharacteristic
1306#97C22×D7111yescharacteristic
1307#97C22×D7111yescharacteristic
1308C4×C8C22×D7111yescharacteristic
1309C4×C8C22×D7111yescharacteristic
1310C4×C8C22×D7111yescharacteristic
1311C4×C8C22×D7111yescharacteristic
1312C24—1421no—
1313C24—1421no—
1314#41—2841no—
1315#41—5682no—
1316#41—1422no—
1317C2×Q8—711no—
1318C2×Q8—711no—
1319C2×Q8—1421no—
1320C2×Q8—1421no—
1321C2×Q8—1421no—
1322C2×Q8—1421no—
1323C2×Q8—1421no—
1324C2×Q8C2×D28411yescharacteristic
1325C2×D4—2841no—
1326C2×D4—2841no—
1327C2×D4—5682no—
1328C2×D4—711no—
1329C2×D4—711no—
1330C2×D4—711no—
1331C2×D4—711no—
1332C2×D4—1422no—
1333C2×D4—1422no—
1334C2×D4—1421no—
1335C2×D4—1421no—
1336C2×D4—1421no—
1337C2×D4—1421no—
1338C2×D4—1421no—
1339C2×D4—1421no—
1340C2×D4—1421no—
1341C2×D4—1421no—
1342C2×D4—1421no—
1343C2×D4—1421no—
1344C2×D4—1421no—
1345C2×D4—1421no—
1346C2×D4C2×D28411yescharacteristic
1347C2×D4C2×D28411yescharacteristic
1348C2×D4C2×D28411yescharacteristic
1349C22×C4—5682no—
1350C22×C4—1421no—
1351C22×C4—1421no—
1352C22×C4—1421no—
1353C22×C4—1421no—
1354C22×C4—1421no—
1355C22×C4—1421no—
1356C22×C4—1421no—
1357C22×C4—1421no—
1358C22×C4—1421no—
1359C22×C4—1421no—
1360C22×C4—1421no—
1361C22×C4—1421no—
1362C22×C4—1421no—
1363C22×C4—1421no—
1364C22×C4—1421no—
1365C22×C4—1421no—
1366C22×C4C2×D28411yescharacteristic
1367C22×C4C2×D28411yescharacteristic
1368C22×C4C23×D7111yescharacteristic
1369C22×C4C23×D7111yescharacteristic
1370C22×C4C23×D7111yescharacteristic
1371Q16—2841no—
1372SD16—2841no—
1373SD16—2841no—
1374SD16—2841no—
1375SD16—1422no—
1376D8—2841no—
1377D8—2841no—
1378D8—1422no—
1379M16—41no—
1380M16—41no—
1381M16—41no—
1382M16—41no—
1383C2×C8—41no—
1384C2×C8—41no—
1385C2×C8C23×D7111yescharacteristic
1386C2×C8C23×D7111yescharacteristic
1387C2×C8C23×D7111yescharacteristic
1388C2×C8C23×D7111yescharacteristic
1389C2×C8C23×D7111yescharacteristic
1390C2×C8C23×D7111yescharacteristic
1391C2×C8C23×D7111yescharacteristic
1392C2×C8C23×D7111yescharacteristic
1393C4⋊C4—711no—
1394C4⋊C4—711no—
1395C4⋊C4—711no—
1396C4⋊C4—711no—
1397C4⋊C4—711no—
1398C4⋊C4—711no—
1399C4⋊C4—711no—
1400C4⋊C4—711no—
1401C4⋊C4—711no—
1402C4⋊C4—711no—
1403C4⋊C4—1421no—
1404C4⋊C4—1421no—
1405C4⋊C4—1421no—
1406C4⋊C4—1421no—
1407C4⋊C4—1421no—
1408C4⋊C4—1421no—
1409C4⋊C4—1421no—
1410C4⋊C4—1421no—
1411C4⋊C4—1421no—
1412C4⋊C4—1421no—
1413C4⋊C4—1421no—
1414C4⋊C4—1421no—
1415C4⋊C4—1421no—
1416C4⋊C4—1421no—
1417C4⋊C4—1421no—
1418C4⋊C4—1421no—
1419C4⋊C4—1421no—
1420C4⋊C4—1421no—
1421C4⋊C4—1421no—
1422C4⋊C4—1421no—
1423C4⋊C4—1421no—
1424C4⋊C4—1421no—
1425C4⋊C4—1421no—
1426C4⋊C4—1421no—
1427C4⋊C4—1421no—
1428C4⋊C4—1421no—
1429C4⋊C4—1421no—
1430C4⋊C4—1421no—
1431C4⋊C4—1421no—
1432C4⋊C4—1421no—
1433C4⋊C4—1421no—
1434C4⋊C4—1421no—
1435C4⋊C4—1421no—
1436C4⋊C4C2×D28411yescharacteristic
1437C4⋊C4C2×D28411yescharacteristic
1438C4⋊C4C2×D28411yescharacteristic
1439C4⋊C4C2×D28411yescharacteristic
1440C4⋊C4C2×D28411yescharacteristic
1441C4⋊C4C2×D28411yescharacteristic
1442C4⋊C4C2×D28411yescharacteristic
1443C4⋊C4C2×D28411yescharacteristic
1444C4⋊C4C2×D28411yescharacteristic
1445C4⋊C4C2×D28411yescharacteristic
1446C22⋊C4—1421no—
1447C22⋊C4—1421no—
1448C22⋊C4—1421no—
1449C22⋊C4—1421no—
1450C22⋊C4—1421no—
1451C22⋊C4—1421no—
1452C22⋊C4—1421no—
1453C22⋊C4—1421no—
1454C22⋊C4—1421no—
1455C22⋊C4—1421no—
1456C22⋊C4—1421no—
1457C22⋊C4—1421no—
1458C22⋊C4—1421no—
1459C22⋊C4—1421no—
1460C22⋊C4—1421no—
1461C22⋊C4—1421no—
1462C22⋊C4—1421no—
1463C22⋊C4—1421no—
1464C22⋊C4—1421no—
1465C22⋊C4—1421no—
1466C22⋊C4—1421no—
1467C22⋊C4—1421no—
1468C22⋊C4—1421no—
1469C22⋊C4—1421no—
1470C22⋊C4—1421no—
1471C22⋊C4—1421no—
1472C22⋊C4—1421no—
1473C22⋊C4—1421no—
1474C22⋊C4—1421no—
1475C22⋊C4—1421no—
1476C22⋊C4—1421no—
1477C22⋊C4—1421no—
1478C22⋊C4—1421no—
1479C22⋊C4—1421no—
1480C22⋊C4C2×D28411yescharacteristic
1481C22⋊C4C2×D28411yescharacteristic
1482C22⋊C4C2×D28411yescharacteristic
1483C22⋊C4C2×D28411yescharacteristic
1484C22⋊C4C2×D28411yescharacteristic
1485C22⋊C4C2×D28411yescharacteristic
1486C22⋊C4C2×D28411yescharacteristic
1487C22⋊C4C2×D28411yescharacteristic
1488C22⋊C4C2×D28411yescharacteristic
1489C22⋊C4C2×D28411yescharacteristic
1490C42—1421no—
1491C42—1421no—
1492C42—1421no—
1493C42—1421no—
1494C42—1421no—
1495C42—1421no—
1496C42—1421no—
1497C42—1421no—
1498C42—1421no—
1499C42—1421no—
1500C42C2×D28411yescharacteristic
1501C42C2×D28411yescharacteristic
1502C42C23×D7111yescharacteristic
1503C42C23×D7111yescharacteristic
1504C42C23×D7111yescharacteristic
1505C42C23×D7111yescharacteristic
1506C23—2842no—
1507C23—2842no—
1508C23—2842no—
1509C23—5681no—
1510C23—5681no—
1511C23—5681no—
1512C23—1421no—
1513C23—1421no—
1514C23—1421no—
1515C23—1421no—
1516C23C22×D28411yescharacteristic
1517C23C22×D28411yescharacteristic
1518C23C22×D28411yescharacteristic
1519Q8—41no—
1520Q8—5681no—
1521Q8—5681no—
1522Q8—5681no—
1523Q8—5681no—
1524Q8—5681no—
1525Q8—1421no—
1526Q8—1421no—
1527Q8—1421no—
1528Q8—1421no—
1529D4—41no—
1530D4—41no—
1531D4—41no—
1532D4—2842no—
1533D4—2842no—
1534D4—2842no—
1535D4—2842no—
1536D4—5681no—
1537D4—5681no—
1538D4—5681no—
1539D4—5681no—
1540D4—5681no—
1541D4—5681no—
1542D4—5681no—
1543D4—5681no—
1544D4—712no—
1545D4—1421no—
1546D4—1421no—
1547D4—1421no—
1548D4—1421no—
1549D4—1421no—
1550D4—1421no—
1551D4—1421no—
1552C2×C4—21no—
1553C2×C4—21no—
1554C2×C4—21no—
1555C2×C4—21no—
1556C2×C4—21no—
1557C2×C4—21no—
1558C2×C4—41no—
1559C2×C4—41no—
1560C2×C4—2842no—
1561C2×C4—2842no—
1562C2×C4—5681no—
1563C2×C4—5681no—
1564C2×C4—5681no—
1565C2×C4—5681no—
1566C2×C4—5681no—
1567C2×C4—5681no—
1568C2×C4—5681no—
1569C2×C4—5681no—
1570C2×C4—5681no—
1571C2×C4—5681no—
1572C2×C4—5681no—
1573C2×C4—5681no—
1574C2×C4—5681no—
1575C2×C4—5681no—
1576C2×C4—1421no—
1577C2×C4—1421no—
1578C2×C4—1421no—
1579C2×C4—1421no—
1580C2×C4—1421no—
1581C2×C4—1421no—
1582C2×C4—1421no—
1583C2×C4—1421no—
1584C2×C4—1421no—
1585C2×C4—1421no—
1586C2×C4—1421no—
1587C2×C4—1421no—
1588C2×C4C22×D28411yescharacteristic
1589C2×C4C22×D28411yescharacteristic
1590C2×C4C22×D28411yescharacteristic
1591C2×C4C22×D28411yescharacteristic
1592C2×C4C22×D28411yescharacteristic
1593C2×C4C22×D28411yescharacteristic
1594C2×C4C22×D28411yescharacteristic
1595C2×C4C22×D28411yescharacteristic
1596C2×C4C22×D28411yescharacteristic
1597C2×C4C22×D28411yescharacteristic
1598C2×C4C22×D28411yescharacteristic
1599C2×C4C24×D7111yescharacteristic
1600C8—21no—
1601C8—21no—
1602C8—21no—
1603C8—21no—
1604C8—21no—
1605C8—21no—
1606C8—21no—
1607C8—21no—
1608C22—21no—
1609C22—21no—
1610C22—21no—
1611C22—21no—
1612C22—21no—
1613C22—21no—
1614C22—21no—
1615C22—21no—
1616C22—21no—
1617C22—2841no—
1618C22—2841no—
1619C22—2841no—
1620C22—2841no—
1621C22—2841no—
1622C22—2841no—
1623C22—2841no—
1624C22—2841no—
1625C22—2841no—
1626C22—2841no—
1627C22—2841no—
1628C22—5684no—
1629C22—11362no—
1630C22—1422no—
1631C22C23×D28411yescharacteristic
1632C4—21no—
1633C4—21no—
1634C4—21no—
1635C4—21no—
1636C4—21no—
1637C4—21no—
1638C4—21no—
1639C4—21no—
1640C4—21no—
1641C4—21no—
1642C4—21no—
1643C4—2841no—
1644C4—2841no—
1645C4—2841no—
1646C4—2841no—
1647C4—2841no—
1648C4—2841no—
1649C4—2841no—
1650C4—2841no—
1651C4—2841no—
1652C4—2841no—
1653C4—2841no—
1654C4—2841no—
1655C42−1+4×D7111yescharacteristic
1656C4#1798683411yescharacteristic
1657C2—41no—
1658C2—41no—
1659C2—41no—
1660C2—2842no—
1661C2—5681no—
1662C2—5681no—
1663C2—5681no—
1664C2#2260202111yescharacteristic
1665C2#2260311411yescharacteristic
1666C2#2260312111yescharacteristic
subgroupG/H
centerC22C23×D284
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#2993C2
socleC22×C71C23×D4
hypercenter#2993D71
hypocenterC71#62175
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ #529 ◁ #2993

Complements

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

NH ≅ G/Ntype
1. #22602985C2semidirect
2. #22602284C2semidirect
3. #22601300C2semidirect
4. #22601217C2semidirect
5. #22601110C2semidirect
6. #22601002C2semidirect
7. #22600936C2semidirect
8. #22600902C2semidirect
9. #22600902C2semidirect
10. #22600872C2semidirect
11. #22600782C2semidirect
12. #22600743C2semidirect
13. #22600572C2semidirect
14. #22600558C2semidirect
15. #22600543C2semidirect
16. #22600498C2semidirect
17. #22600483C2semidirect
18. #22600177C2semidirect
19. #22599801C2semidirect
20. #22599753C2semidirect
21. #22599741C2semidirect
22. #22599640C2semidirect
23. #22599595C2semidirect
24. #22599521C2semidirect
25. #22598619C2semidirect
26. #22598526C2semidirect
27. #22598389C2semidirect
28. #22598193C2semidirect
29. #22598172C2semidirect
30. #22598139C2semidirect
31. C71×#2993C2semidirect
35. #17986727C22semidirect
38. #17986714C22semidirect
40. #17986709C22semidirect
44. #17986695C22semidirect
46. #17986689C22semidirect
47. #17986689C22semidirect
56. #17986627C22semidirect
57. #17986627C22semidirect
59. #17986620C22semidirect
60. #17986620C22semidirect
68. #17986556C22semidirect
70. #17986533C22semidirect
76. #17986408C22semidirect
77. #17986408C22semidirect
78. #17986401C22semidirect
79. #17986401C22semidirect
80. #17986401C22semidirect
81. #17986397C22semidirect
83. #17986359C22semidirect
84. #17986354C22semidirect
85. #17986354C22semidirect
86. #17986354C22semidirect
88. #17986341C22semidirect
89. #17986341C22semidirect
90. #17986341C22semidirect
91. #17986341C22semidirect
92. #17986335C22semidirect
93. #17986330C22semidirect
94. #17986330C22semidirect
98. #17986324C22semidirect
99. #17986324C22semidirect
100. #17986324C22semidirect
102. #17986318C22semidirect
103. #17986318C22semidirect
104. #17986318C22semidirect
105. #17986313C22semidirect
106. #17986307C22semidirect
107. #17986307C22semidirect
108. #17986307C22semidirect
109. #17986307C22semidirect
115. #17986300C22semidirect
116. #17986300C22semidirect
117. #17986300C22semidirect
118. #17986300C22semidirect
119. #17986300C22semidirect
120. #17986300C22semidirect
121. #17986300C22semidirect
122. #17986295C22semidirect
123. #17986295C22semidirect
124. #17986295C22semidirect
126. #17986290C22semidirect
127. #17986290C22semidirect
128. #17986290C22semidirect
129. #17986285C22semidirect
133. #17986280C22semidirect
134. #17986280C22semidirect
135. #17986280C22semidirect
136. #17986257C22semidirect
138. #17986252C22semidirect
141. #17986245C22semidirect
142. #17986245C22semidirect
143. #17986245C22semidirect
144. #17986240C22semidirect
146. #17986235C22semidirect
147. #17986228C22semidirect
148. #17986222C22semidirect
149. #17986222C22semidirect
150. #17986222C22semidirect
152. #17986215C22semidirect
153. #17986215C22semidirect
154. #17986215C22semidirect
155. #17986215C22semidirect
166. #17986107C22semidirect
167. #17986101C22semidirect
171. C4×#11765854C22semidirect
172. C4×#11765854C22semidirect
174. C4×D568C22semidirect
175. C4×D568C22semidirect
176. #17986041C22semidirect
177. #17986041C22semidirect
178. #17986041C22semidirect
179. #17986041C22semidirect
180. #17986037C22semidirect
181. C2×#14556062C22semidirect
189. #446×C71C22semidirect
190. C8×Q8×C71C22semidirect
192. #436×C71C22semidirect
193. #436×C71C22semidirect
195. #435×C71C22semidirect
196. C8×D4×C71C22semidirect
197. #433×C71C22semidirect
198. #433×C71C22semidirect
199. #431×C71C22semidirect
200. #424×C71C22semidirect
201. #424×C71C22semidirect
202. #423×C71C22semidirect
864. #2993D71semidirect
865. C71#62175semidirect
999. #446C2×D71semidirect
1000. C8×Q8C2×D71semidirect
1014. #436C2×D71semidirect
1015. #436C2×D71semidirect
1017. #435C2×D71semidirect
1018. C8×D4C2×D71semidirect
1019. #433C2×D71semidirect
1020. #433C2×D71semidirect
1021. #431C2×D71semidirect
1028. #424C2×D71semidirect
1029. #424C2×D71semidirect
1030. #423C2×D71semidirect

Maximal subgroups

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

subgroupindex
#226029852
#226022842
#226013002
#226012172
#226011102
#226010022
#226009362
#226009022
#226008722
#226007822
#226007432
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