Finite Group Databasebeta

← #32894400

Subgroups — #32894400

Order 18176.

1758 conjugacy classes of subgroups.

The subgroup lattice has 1684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602945C211yesmaximal, characteristic, complemented
2#22602370C211yesmaximal, characteristic
3#22601288C211yesmaximal, characteristic, complemented
4#22601283C211yesmaximal, characteristic, complemented
5#22601073C211yesmaximal, characteristic, complemented
6#22601064C211yesmaximal, characteristic, complemented
7#22600861C211yesmaximal, characteristic, complemented
8#22600850C211yesmaximal, characteristic, complemented
9#22600832C211yesmaximal, characteristic, complemented
10#22600820C211yesmaximal, characteristic, complemented
11#22600716C211yesmaximal, characteristic, complemented
12#22600714C211yesmaximal, characteristic, complemented
13#22600368C211yesmaximal, characteristic, complemented
14#22600367C211yesmaximal, characteristic, complemented
15#22600356C211yesmaximal, characteristic, complemented
16#22600356C211yesmaximal, characteristic, complemented
17#22600167C211yesmaximal, characteristic, complemented
18#22600159C211yesmaximal, characteristic, complemented
19#22599783C211yesmaximal, characteristic, complemented
20#22599653C211yesmaximal, characteristic, complemented
21#22599598C211yesmaximal, characteristic, complemented
22#22599587C211yesmaximal, characteristic, complemented
23#22599528C211yesmaximal, characteristic, complemented
24#22598590C211yesmaximal, characteristic, complemented
25#22598587C211yesmaximal, characteristic, complemented
26#22598438C211yesmaximal, characteristic, complemented
27#22598172C211yesmaximal, characteristic, complemented
28#22598168C211yesmaximal, characteristic, complemented
29#478×D71C211yesmaximal, characteristic, complemented
30#22597477C211yesmaximal, characteristic, complemented
31C71×#3260C211yesmaximal, characteristic, complemented
32C71⋊#564—21no—
33#17986751—21no—
34#17986728C2211yescharacteristic, complemented
35#17986725C2211yescharacteristic, complemented
36#17986713C2211yescharacteristic
37#17986709C2211yescharacteristic, complemented
38#17986707C2211yescharacteristic, complemented
39#17986705C2211yescharacteristic
40#17986702C2211yescharacteristic
41#17986696C2211yescharacteristic
42#17986694—21no—
43#17986691C2211yescharacteristic, complemented
44#17986690C2211yescharacteristic, complemented
45#17986687—21no—
46#17986685—21no—
47#17986683C2211yescharacteristic, complemented
48#17986683C2211yescharacteristic, complemented
49#17986669C2211yescharacteristic
50#17986646—21no—
51#17986641—21no—
52#17986638—21no—
53#17986634C2211yescharacteristic
54#17986633C2211yescharacteristic
55#17986633C2211yescharacteristic
56#17986629—21no—
57#17986629C2211yescharacteristic, complemented
58#17986627C2211yescharacteristic, complemented
59#17986610C2211yescharacteristic, complemented
60#17986608—21no—
61#17986606—21no—
62#17986600C2211yescharacteristic
63#17986590—21no—
64#17986585—21no—
65#17986581—21no—
66#17986554C2211yescharacteristic, complemented
67#17986546C2211yescharacteristic
68#17986527C2211yescharacteristic
69#125×D71C2211yescharacteristic, complemented
70#17986507—21no—
71#121×D71—21no—
72#17986473C2211yescharacteristic
73#17986471C2211yescharacteristic
74C4×D4×D71C2211yescharacteristic
75#17986409C2211yescharacteristic, complemented
76#17986407C2211yescharacteristic, complemented
77#17986407C2211yescharacteristic, complemented
78#17986406C2211yescharacteristic, complemented
79#17986399C2211yescharacteristic, complemented
80#17986398C2211yescharacteristic, complemented
81#17986363C2211yescharacteristic, complemented
82#17986362C2211yescharacteristic, complemented
83#17986362C2211yescharacteristic, complemented
84#17986362C2211yescharacteristic, complemented
85#17986345C2211yescharacteristic, complemented
86#17986344C2211yescharacteristic, complemented
87#17986339C2211yescharacteristic, complemented
88#17986338C2211yescharacteristic, complemented
89#17986337C2211yescharacteristic, complemented
90#17986337C2211yescharacteristic, complemented
91#17986333C2211yescharacteristic, complemented
92#17986333C2211yescharacteristic, complemented
93#17986325C2211yescharacteristic, complemented
94#17986322C2211yescharacteristic, complemented
95#17986320C2211yescharacteristic, complemented
96#17986320C2211yescharacteristic, complemented
97#17986319C2211yescharacteristic, complemented
98#17986316C2211yescharacteristic, complemented
99#17986316C2211yescharacteristic, complemented
100#17986315C2211yescharacteristic, complemented
101#17986314C2211yescharacteristic, complemented
102#17986314C2211yescharacteristic, complemented
103#17986311C2211yescharacteristic, complemented
104#17986310C2211yescharacteristic, complemented
105#17986308C2211yescharacteristic, complemented
106#17986304C2211yescharacteristic, complemented
107#17986302C2211yescharacteristic
108#17986302C2211yescharacteristic
109#17986301C2211yescharacteristic, complemented
110#17986300C2211yescharacteristic
111#17986300C2211yescharacteristic
112#17986300C2211yescharacteristic, complemented
113#17986300C2211yescharacteristic, complemented
114#17986299C2211yescharacteristic, complemented
115#17986299C2211yescharacteristic, complemented
116#17986298C2211yescharacteristic
117#17986297C2211yescharacteristic, complemented
118#17986297C2211yescharacteristic, complemented
119#17986296C2211yescharacteristic
120#17986296C2211yescharacteristic, complemented
121#17986290C2211yescharacteristic
122#17986290C2211yescharacteristic, complemented
123#17986289C2211yescharacteristic, complemented
124#17986288C2211yescharacteristic
125#17986282C2211yescharacteristic, complemented
126#17986282C2211yescharacteristic, complemented
127#17986280C2211yescharacteristic
128#17986280C2211yescharacteristic, complemented
129#17986279C2211yescharacteristic, complemented
130#17986277C2211yescharacteristic, complemented
131#17986248C2211yescharacteristic, complemented
132#17986242C2211yescharacteristic, complemented
133#17986231C2211yescharacteristic, complemented
134#17986231C2211yescharacteristic, complemented
135#17986231C2211yescharacteristic, complemented
136#17986225C2211yescharacteristic, complemented
137#17986225C2211yescharacteristic, complemented
138#17986225C2211yescharacteristic, complemented
139#17986201C2211yescharacteristic
140#17986201C2211yescharacteristic, complemented
141#17986197C2211yescharacteristic, complemented
142#17986197C2211yescharacteristic, complemented
143#17986197C2211yescharacteristic, complemented
144#17986197C2211yescharacteristic, complemented
145#17986149C2211yescharacteristic
146#17986149C2211yescharacteristic
147#17986148C2211yescharacteristic
148#17986148C2211yescharacteristic
149#17986148C2211yescharacteristic
150#17986148C2211yescharacteristic
151#17986128C2211yescharacteristic, complemented
152#17986126C2211yescharacteristic, complemented
153#17986102C2211yescharacteristic
154#17986102C2211yescharacteristic
155#17986102C2211yescharacteristic
156#17986100C2211yescharacteristic, complemented
157#17986100C2211yescharacteristic, complemented
158#17986100C2211yescharacteristic, complemented
159#17986097C2211yescharacteristic
160#17986097C2211yescharacteristic, complemented
161SD16×Dic71C2211yescharacteristic, complemented
162C4×#11765852C2211yescharacteristic
163C4×#11765852C2211yescharacteristic, complemented
164#17986084C2211yescharacteristic
165#17986070C2211yescharacteristic, complemented
166#17986069C2211yescharacteristic, complemented
167#17986068C2211yescharacteristic, complemented
168#17986068C2211yescharacteristic, complemented
169#17986064C2211yescharacteristic, complemented
170C8×C22⋊D71C2211yescharacteristic, complemented
171#17986060C2211yescharacteristic, complemented
172#17986059C2211yescharacteristic, complemented
173#17986055C2211yescharacteristic, complemented
174#17986041C2211yescharacteristic, complemented
175#17986038C2211yescharacteristic, complemented
176#17986037C2211yescharacteristic, complemented
177#17986036C2211yescharacteristic, complemented
178#107×D71C2211yescharacteristic, complemented
179#106×D71C2211yescharacteristic, complemented
180#17986024C2211yescharacteristic, complemented
181C4⋊C8×D71C2211yescharacteristic, complemented
182#17986005C2211yescharacteristic
183#17986002C2211yescharacteristic
184C2×#14556050C2211yescharacteristic
185#102×D71C2211yescharacteristic
186#102×D71C2211yescharacteristic
187#102×D71C2211yescharacteristic
188#541×C71C2211yescharacteristic, complemented
189#540×C71C2211yescharacteristic
190#479×C71C2211yescharacteristic, complemented
191#479×C71C2211yescharacteristic, complemented
192#478×C71C2211yescharacteristic, complemented
193#478×C71C2211yescharacteristic, complemented
194#468×C71C2211yescharacteristic, complemented
195#468×C71C2211yescharacteristic, complemented
196#465×C71C2211yescharacteristic, complemented
197#465×C71C2211yescharacteristic, complemented
198#461×C71C2211yescharacteristic, complemented
199#461×C71C2211yescharacteristic, complemented
200#460×C71C2211yescharacteristic, complemented
201#460×C71C2211yescharacteristic, complemented
202#424×C71C2211yescharacteristic, complemented
203C2×#11765865—21no—
204C2×#11765864—21no—
205C22×D284C2311yescharacteristic
206C2×D4×D71—21no—
207C2×D4×D71—21no—
208C2×D4×D71—21no—
209C2×D4×D71C2311yescharacteristic
210C2×D4×D71C2311yescharacteristic
211C22×C4×D71—21no—
212C2×#11765852C2311yescharacteristic
213C2×#11765852C2311yescharacteristic
214C2×#11765852C2311yescharacteristic
215C2×#11765852C2311yescharacteristic
216C2×#11765848C2311yescharacteristic
217C2×C8×D71C2311yescharacteristic
218C2×C8×D71C2311yescharacteristic
219C2×C8×D71C2311yescharacteristic
220#14556128—21no—
221#14556128C2311yescharacteristic
222#14556128C2311yescharacteristic
223#14556127—21no—
224#14556127—21no—
225#14556127—21no—
226#14556127C2311yescharacteristic
227#14556127C2311yescharacteristic
228#14556124C2311yescharacteristic
229#14556124C2311yescharacteristic
230#14556123—21no—
231#14556123—21no—
232#14556123—21no—
233#14556123—21no—
234#14556123D411yescharacteristic
235#14556122—21no—
236#14556121—21no—
237#14556121—21no—
238#14556121—21no—
239#14556121D411yescharacteristic
240#14556120—21no—
241#14556120—21no—
242#14556120C2311yescharacteristic
243#14556120C2311yescharacteristic
244#14556119—21no—
245#14556119—21no—
246#14556119—21no—
247#14556119—21no—
248#14556119—21no—
249#14556119—21no—
250#14556119C2311yescharacteristic
251#14556119C2311yescharacteristic
252#14556119C2311yescharacteristic
253#14556119C2311yescharacteristic
254#14556118—21no—
255#14556118—21no—
256#14556118—21no—
257#14556118—21no—
258#14556118—21no—
259#14556118—21no—
260#14556118—21no—
261#14556118—21no—
262#14556118—21no—
263#14556118D411yescharacteristic
264#14556115—21no—
265#14556114—21no—
266#14556114—21no—
267#14556114D411yescharacteristic
268#14556113—21no—
269#14556113—21no—
270#14556113D411yescharacteristic
271#14556112—21no—
272#14556111—21no—
273#14556110—21no—
274#14556110—21no—
275#14556110—21no—
276#14556110D411yescharacteristic
277#14556109—21no—
278#14556108—21no—
279#14556108—21no—
280#14556108—21no—
281#14556108—21no—
282#14556106—21no—
283#14556106—21no—
284#14556106—21no—
285#14556106—21no—
286#14556106—21no—
287#14556106D411yescharacteristic
288#14556105—21no—
289#14556105—21no—
290#14556105—21no—
291#14556104C2311yescharacteristic
292#14556104C2311yescharacteristic
293#14556104C2311yescharacteristic
294#14556104C2311yescharacteristic
295#14556103—21no—
296#14556103C2311yescharacteristic
297#14556103C2311yescharacteristic
298#14556102—21no—
299#14556101—21no—
300#14556101—21no—
301#14556101—21no—
302#14556101—21no—
303#14556101D411yescharacteristic
304#14556100—21no—
305#14556100—21no—
306#14556100—21no—
307#14556099—21no—
308#14556099—21no—
309#14556099—21no—
310#14556099C2311yescharacteristic
311#14556099C2311yescharacteristic
312#14556098—21no—
313#14556098—21no—
314#14556096—21no—
315#14556096—21no—
316#14556096—21no—
317#14556096—21no—
318Q8×Dic71C2311yescharacteristic
319Q8×Dic71C2311yescharacteristic
320Q8×Dic71C2311yescharacteristic
321Q8×Dic71C2311yescharacteristic
322C4×Dic142—21no—
323C4×Dic142—21no—
324C4×Dic142C2311yescharacteristic
325#14556093—21no—
326C4×D284—21no—
327C4×D284C2311yescharacteristic
328C4×D284C2311yescharacteristic
329C4×D284C2311yescharacteristic
330C4×D284C2311yescharacteristic
331C4×D284C2311yescharacteristic
332D4×Dic71C2311yescharacteristic
333D4×Dic71C2311yescharacteristic
334#14556090—21no—
335#14556090—21no—
336#14556090—21no—
337#14556090C2311yescharacteristic
338#14556090C2311yescharacteristic
339C4×C22⋊D71—21no—
340C4×C22⋊D71—21no—
341C4×C22⋊D71—21no—
342C4×C22⋊D71C2311yescharacteristic
343C4×C22⋊D71C2311yescharacteristic
344(C22⋊D71)⋊C4—21no—
345(C22⋊D71)⋊C4—21no—
346(C22⋊D71)⋊C4—21no—
347(C22⋊D71)⋊C4—21no—
348#14556087C2311yescharacteristic
349#14556087C2311yescharacteristic
350#14556086—21no—
351#14556086—21no—
352#14556086—21no—
353#14556086C2311yescharacteristic
354#14556086C2311yescharacteristic
355#14556085—21no—
356#14556085C2311yescharacteristic
357#14556084—21no—
358#14556084—21no—
359C2×C4⋊Dic71C2311yescharacteristic
360C4⋊C4×D71—21no—
361C4⋊C4×D71—21no—
362C4⋊C4×D71—21no—
363C4⋊C4×D71C2311yescharacteristic
364C4⋊C4×D71C2311yescharacteristic
365C4⋊C4×D71C2311yescharacteristic
366C4⋊C4×D71C2311yescharacteristic
367C2×(C2×D71)⋊C4—21no—
368C22⋊C4×D71—21no—
369C22⋊C4×D71—21no—
370C22⋊C4×D71—21no—
371C22⋊C4×D71—21no—
372C42×D71C2311yescharacteristic
373#14556062C2311yescharacteristic
374#14556062C2311yescharacteristic
375#14556062C2311yescharacteristic
376#14556062C2311yescharacteristic
377#14556061C2311yescharacteristic
378#14556061C2311yescharacteristic
379#14556061C2311yescharacteristic
380#14556061C2311yescharacteristic
381#14556061C2311yescharacteristic
382#14556061C2311yescharacteristic
383#14556060C2311yescharacteristic
384#14556060C2311yescharacteristic
385#14556060C2311yescharacteristic
386#14556060C2311yescharacteristic
387#14556059C2311yescharacteristic
388#14556059C2311yescharacteristic
389#14556059C2311yescharacteristic
390#14556059C2311yescharacteristic
391#14556059C2311yescharacteristic
392#14556059C2311yescharacteristic
393C4⋊(C71⋊C8)C2311yescharacteristic
394C4⋊(C71⋊C8)C2311yescharacteristic
395Dic71⋊C8C2311yescharacteristic
396Dic71⋊C8C2311yescharacteristic
397Dic71⋊C8C2311yescharacteristic
398Dic71⋊C8C2311yescharacteristic
399#14556052C2311yescharacteristic
400#14556052C2311yescharacteristic
401#14556052C2311yescharacteristic
402#14556052C2311yescharacteristic
403#14556050C2311yescharacteristic
404#14556050C2311yescharacteristic
405#14556050C2311yescharacteristic
406#14556050C2311yescharacteristic
407#14556050C2311yescharacteristic
408#14556050C2311yescharacteristic
409#14556050C2311yescharacteristic
410#14556050C2311yescharacteristic
411#14556049C2311yescharacteristic
412#14556049C2311yescharacteristic
413#14556049C2311yescharacteristic
414#14556049C2311yescharacteristic
415#14556049C2311yescharacteristic
416#14556049C2311yescharacteristic
417#14556049C2311yescharacteristic
418#14556049C2311yescharacteristic
419#14556048C2311yescharacteristic
420#14556048C2311yescharacteristic
421#14556048C2311yescharacteristic
422#14556048C2311yescharacteristic
423C22⋊(C71⋊C8)C2311yescharacteristic
424C22⋊(C71⋊C8)C2311yescharacteristic
425(C2×D71)⋊C8C2311yescharacteristic
426(C2×D71)⋊C8C2311yescharacteristic
427(C2×D71)⋊C8C2311yescharacteristic
428(C2×D71)⋊C8C2311yescharacteristic
429#14556039C2311yescharacteristic
430#14556038C2311yescharacteristic
431#14556038C2311yescharacteristic
432#14556038C2311yescharacteristic
433C4×C71⋊C8C2311yescharacteristic
434C8×Dic71C2311yescharacteristic
435C2×SD16×C71C2311yescharacteristic
436C2×SD16×C71C2311yescharacteristic
437C2×SD16×C71C2311yescharacteristic
438C2×SD16×C71C2311yescharacteristic
439C2×M16×C71C2311yescharacteristic
440C22×C8×C71C2311yescharacteristic
441C4⋊Q8×C71C2311yescharacteristic
442#127×C71C2311yescharacteristic
443#126×C71—21no—
444#126×C71—21no—
445#125×C71—21no—
446#125×C71—21no—
447#125×C71C2311yescharacteristic
448#125×C71C2311yescharacteristic
449#123×C71—21no—
450#123×C71—21no—
451C22⋊Q8×C71C2311yescharacteristic
452C22⋊Q8×C71C2311yescharacteristic
453#121×C71—21no—
454#121×C71—21no—
455#121×C71C2311yescharacteristic
456#121×C71C2311yescharacteristic
457C4×Q8×C71C2311yescharacteristic
458C4×Q8×C71C2311yescharacteristic
459C4×D4×C71C2311yescharacteristic
460C4×D4×C71C2311yescharacteristic
461#117×C71C2311yescharacteristic
462#107×C71C2311yescharacteristic
463#107×C71C2311yescharacteristic
464#106×C71C2311yescharacteristic
465#106×C71C2311yescharacteristic
466C4⋊C8×C71C2311yescharacteristic
467C4⋊C8×C71C2311yescharacteristic
468C4⋊C8×C71C2311yescharacteristic
469C4⋊C8×C71C2311yescharacteristic
470#103×C71C2311yescharacteristic
471#103×C71C2311yescharacteristic
472#103×C71C2311yescharacteristic
473#103×C71C2311yescharacteristic
474#102×C71C2311yescharacteristic
475#102×C71C2311yescharacteristic
476#102×C71C2311yescharacteristic
477#102×C71C2311yescharacteristic
478C23×D71—21no—
479C23×D71—21no—
480C23×D71—21no—
481#11765865—82no—
482#11765864—82no—
483C2×Dic142—21no—
484C2×Dic142—21no—
485C2×Dic142—21no—
486C2×Dic142—21no—
487C2×Dic142C2×D411yescharacteristic
488C2×D284—22no—
489C2×D284—21no—
490C2×D284—21no—
491C2×D284—21no—
492C2×D284—41no—
493C2×D284C2×D411yescharacteristic
494C2×D284C2411yescharacteristic
495C2×D284C2411yescharacteristic
496C2×C22⋊D71—21no—
497C2×C22⋊D71—21no—
498C2×C22⋊D71—21no—
499C2×C22⋊D71—21no—
500C2×C22⋊D71—21no—
501C2×C22⋊D71—21no—
502C2×C22⋊D71—21no—
503C2×C22⋊D71—21no—
504C2×C22⋊D71C2×D411yescharacteristic
505C2×C22⋊D71C2×D411yescharacteristic
506D4×D71—22no—
507D4×D71—22no—
508D4×D71—41no—
509D4×D71—41no—
510D4×D71—82no—
511D4×D71—82no—
512D4×D71—82no—
513C22×Dic71—21no—
514C22×Dic71—21no—
515C22×Dic71—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—82no—
527C2×C4×D71C2×D411yescharacteristic
528C2×C4×D71C2×D411yescharacteristic
529C2×C4×D71C2411yescharacteristic
530C2×C4×D71C2411yescharacteristic
531#11765852—22no—
532#11765852—22no—
533#11765852—41no—
534#11765852—41no—
535#11765848—41no—
536C2×C71⋊C8C2411yescharacteristic
537C2×C71⋊C8C2411yescharacteristic
538C2×C71⋊C8C2411yescharacteristic
539C2×C71⋊C8C2411yescharacteristic
540C8×D71—41no—
541C8×D71—41no—
542C8×D71—41no—
543C4⋊Dic71—21no—
544C4⋊Dic71—21no—
545C4⋊Dic71—21no—
546C4⋊Dic71—21no—
547C4⋊Dic71—21no—
548C4⋊Dic71—21no—
549C4⋊Dic71—21no—
550C4⋊Dic71—21no—
551C4⋊Dic71—21no—
552C4⋊Dic71—21no—
553C4⋊Dic71—21no—
554C4⋊Dic71C2×D411yescharacteristic
555C4⋊Dic71C2×D411yescharacteristic
556C4⋊Dic71C2411yescharacteristic
557C4⋊Dic71C2411yescharacteristic
558C4⋊Dic71C2411yescharacteristic
559C4⋊Dic71C2411yescharacteristic
560C4⋊Dic71C2411yescharacteristic
561C4⋊Dic71C2411yescharacteristic
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—
579Dic71⋊C4—21no—
580Dic71⋊C4C2×D411yescharacteristic
581Dic71⋊C4C2×D411yescharacteristic
582Dic71⋊C4C2×D411yescharacteristic
583Dic71⋊C4C2×D411yescharacteristic
584Dic71⋊C4C2×D411yescharacteristic
585Dic71⋊C4C2×D411yescharacteristic
586C22⋊Dic71—21no—
587C22⋊Dic71—21no—
588C22⋊Dic71—21no—
589C22⋊Dic71—21no—
590C22⋊Dic71—21no—
591C22⋊Dic71—21no—
592C22⋊Dic71C2×D411yescharacteristic
593C22⋊Dic71C2×D411yescharacteristic
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)⋊C4C2×D411yescharacteristic
609(C2×D71)⋊C4C2×D411yescharacteristic
610(C2×D71)⋊C4C2×D411yescharacteristic
611(C2×D71)⋊C4C2×D411yescharacteristic
612(C2×D71)⋊C4C2×D411yescharacteristic
613(C2×D71)⋊C4C2×D411yescharacteristic
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×Dic71C2×D411yescharacteristic
623C4×Dic71C2×D411yescharacteristic
624C4×Dic71C2411yescharacteristic
625C4×Dic71C2411yescharacteristic
626C2×Q8×C71C2411yescharacteristic
627C2×Q8×C71C2411yescharacteristic
628C2×D4×C71—21no—
629C2×D4×C71—21no—
630C2×D4×C71—21no—
631C2×D4×C71—21no—
632C2×D4×C71C2411yescharacteristic
633C2×D4×C71C2411yescharacteristic
634C22×C4×C71—21no—
635C22×C4×C71—21no—
636C22×C4×C71C2411yescharacteristic
637SD16×C71—41no—
638SD16×C71—41no—
639SD16×C71—41no—
640SD16×C71—41no—
641M16×C71—41no—
642C2×C8×C71—41no—
643C2×C8×C71C2411yescharacteristic
644C2×C8×C71C2411yescharacteristic
645C2×C8×C71C2411yescharacteristic
646C2×C8×C71C2411yescharacteristic
647C4⋊C4×C71—21no—
648C4⋊C4×C71—21no—
649C4⋊C4×C71—21no—
650C4⋊C4×C71—21no—
651C4⋊C4×C71—21no—
652C4⋊C4×C71—21no—
653C4⋊C4×C71—21no—
654C4⋊C4×C71—21no—
655C4⋊C4×C71—21no—
656C4⋊C4×C71—21no—
657C4⋊C4×C71C2×D411yescharacteristic
658C4⋊C4×C71C2×D411yescharacteristic
659C4⋊C4×C71C2411yescharacteristic
660C4⋊C4×C71C2411yescharacteristic
661C4⋊C4×C71C2411yescharacteristic
662C4⋊C4×C71C2411yescharacteristic
663C22⋊C4×C71—21no—
664C22⋊C4×C71—21no—
665C22⋊C4×C71—21no—
666C22⋊C4×C71—21no—
667C22⋊C4×C71—21no—
668C22⋊C4×C71—21no—
669C22⋊C4×C71C2×D411yescharacteristic
670C22⋊C4×C71C2×D411yescharacteristic
671C42×C71—21no—
672C42×C71—21no—
673C42×C71C2411yescharacteristic
674C42×C71C2411yescharacteristic
675C23×C71—21no—
676C23×C71—21no—
677C23×C71C22×D411yescharacteristic
678C22×D71—21no—
679C22×D71—21no—
680C22×D71—42no—
681C22×D71—42no—
682C22×D71—42no—
683C22×D71—42no—
684C22×D71—81no—
685C22×D71—81no—
686C22×D71—81no—
687C22×D71—81no—
688C22×D71—81no—
689C22×D71C22×D411yescharacteristic
690C22×D71C22×D411yescharacteristic
691Q8×C71—21no—
692Q8×C71—21no—
693Q8×C71—21no—
694Q8×C71—21no—
695D4×C71—21no—
696D4×C71—21no—
697D4×C71—21no—
698D4×C71—21no—
699D4×C71—81no—
700D4×C71—81no—
701D4×C71—81no—
702D4×C71—81no—
703C2×C4×C71—21no—
704C2×C4×C71—21no—
705C2×C4×C71—21no—
706C2×C4×C71—21no—
707C2×C4×C71—21no—
708C2×C4×C71—21no—
709C2×C4×C71—21no—
710C2×C4×C71—21no—
711C2×C4×C71—81no—
712C2×C4×C71—81no—
713C2×C4×C71C22×D411yescharacteristic
714C2×C4×C71C22×D411yescharacteristic
715C2×C4×C71C22×D411yescharacteristic
716C2×C4×C71C22×D411yescharacteristic
717C2×C4×C71C22×D411yescharacteristic
718C2×C4×C71C2511yescharacteristic
719C22⋊D71—22no—
720C22⋊D71—41no—
721C22⋊D71—42no—
722C22⋊D71—42no—
723C22⋊D71—42no—
724C22⋊D71—42no—
725C22⋊D71—81no—
726C22⋊D71—81no—
727C22⋊D71—81no—
728C22⋊D71—81no—
729C2×Dic71—21no—
730C2×Dic71—21no—
731C2×Dic71—21no—
732C2×Dic71—21no—
733C2×Dic71—21no—
734C2×Dic71—21no—
735C2×Dic71—42no—
736C2×Dic71—81no—
737C2×Dic71—81no—
738C2×Dic71C22×D411yescharacteristic
739C2×Dic71C22×D411yescharacteristic
740C2×Dic71C22×D411yescharacteristic
741C2×Dic71C22×D411yescharacteristic
742C2×Dic71C22×D411yescharacteristic
743C2×Dic71C22×D411yescharacteristic
744D284—22no—
745D284—21no—
746D284—21no—
747D284—21no—
748D284—42no—
749D284—42no—
750D284—81no—
751D2842−1+412yes—
752C4×D71—22no—
753C4×D71—21no—
754C4×D71—21no—
755C4×D71—21no—
756C4×D71—21no—
757C4×D71—41no—
758C4×D71—42no—
759C4×D71—42no—
760C4×D71—81no—
761C4×D71—81no—
762C4×D71—81no—
763C4×D71—81no—
764C4×D71—81no—
765C4×D71—81no—
766C4×D71—81no—
767C4×D71—81no—
768Dic142—41no—
769Dic142—81no—
770Dic142—81no—
771Dic142—81no—
772Dic142—81no—
773C8×C71—21no—
774C8×C71—21no—
775C8×C71—21no—
776C8×C71—21no—
777C71⋊C8—21no—
778C71⋊C8—21no—
779C71⋊C8—21no—
780C71⋊C8—21no—
781C22×C71—21no—
782C22×C71—21no—
783C22×C71—21no—
784C22×C71—41no—
785C22×C71—41no—
786C22×C71—41no—
787C22×C71—41no—
788C22×C71—41no—
789C22×C71—41no—
790C22×C71C23×D411yescharacteristic
791C2×D71—21no—
792C2×D71—21no—
793C2×D71—21no—
794C2×D71—21no—
795C2×D71—22no—
796C2×D71—21no—
797C2×D71—41no—
798C2×D71—41no—
799C2×D71—41no—
800C2×D71—41no—
801C2×D71—41no—
802C2×D71—84no—
803C2×D71—162no—
804C2×D71—162no—
805C2×D71#57712yes—
806C4×C71—21no—
807C4×C71—21no—
808C4×C71—21no—
809C4×C71—21no—
810C4×C71—21no—
811C4×C71—41no—
812C4×C71—41no—
813C4×C71—41no—
814C4×C71—41no—
815C4×C71—41no—
816C4×C71—41no—
817C4×C71C2×2−1+411yescharacteristic
818C4×C71#58511yescharacteristic
819Dic71—21no—
820Dic71—21no—
821Dic71—21no—
822Dic71—21no—
823Dic71—21no—
824Dic71—21no—
825Dic71—41no—
826Dic71—41no—
827Dic71—41no—
828Dic71—41no—
829Dic71—41no—
830Dic71—41no—
831#62164—711nomaximal, Sylow
832C2×C71—41no—
833C2×C71—81no—
834C2×C71—81no—
835C2×C71#348911yescharacteristic
836C2×C71C2×#57711yescharacteristic
837C2×C71#358511yescharacteristic
838D71—22no—
839D71—41no—
840D71—42no—
841D71—81no—
842#3563—711no—
843#3519—711no—
844#3388—711no—
845#3388—711no—
846#3368—711no—
847#3368—711no—
848#3348—711no—
849#3348—711no—
850#3346—711no—
851#3346—711no—
852#3337—711no—
853#3337—711no—
854#3310—711no—
855#3310—711no—
856#3310—711no—
857#3310—711no—
858#3295—711no—
859#3295—711no—
860#3260—711no—
861#3260D7111yescharacteristic, complemented
862#3246—711no—
863#3241—711no—
864#3241—711no—
865#3234—711no—
866#3123—711no—
867#3123—711no—
868#3110—711no—
869#3081—711no—
870#3081—711no—
871C2×#478—711no—
872#2992—711no—
873C71#6216411yescharacteristic, complemented, Sylow
874#564—1421no—
875#563—1421no—
876#557—711no—
877#557—711no—
878#555—711no—
879#554—711no—
880#554—711no—
881#554—711no—
882#553—711no—
883#553—711no—
884#553—1421no—
885#552—711no—
886#552—711no—
887#552—711no—
888#552—711no—
889#552—1421no—
890#552—1421no—
891#550—711no—
892#546—1421no—
893#546—1421no—
894#546—1421no—
895D42—711no—
896D42—711no—
897D42—711no—
898#544—711no—
899#544—711no—
900#544—1421no—
901#541—711no—
902#541—1421no—
903#541—1421no—
904#541C2×D7111yescharacteristic, complemented
905#540—711no—
906#540C2×D7111yescharacteristic
907#539—1421no—
908#538—1421no—
909#538—1421no—
910#533—711no—
911#532—711no—
912#529—711no—
913C2×#125—711no—
914#525—1421no—
915C2×#121—1421no—
916#518—711no—
917#518—711no—
918C2×C4×D4—711no—
919#501—711no—
920#501—711no—
921#501—711no—
922#501—711no—
923#499—711no—
924#499—711no—
925#490—711no—
926#490—711no—
927#490—711no—
928#490—711no—
929#486—711no—
930#486—711no—
931#485—711no—
932#485—711no—
933#485—711no—
934#485—711no—
935#484—711no—
936#484—711no—
937#482—711no—
938#482—711no—
939#482—711no—
940#482—711no—
941#481—711no—
942#481—711no—
943#481—711no—
944#481—711no—
945#480—711no—
946#480—711no—
947#480—711no—
948#480—711no—
949#479—711no—
950#479—711no—
951#479C2×D7111yescharacteristic, complemented
952#479C2×D7111yescharacteristic, complemented
953#478—711no—
954#478—711no—
955#478—711no—
956#478—711no—
957#478—711no—
958#478—711no—
959#478—711no—
960#478—711no—
961#478—711no—
962#478—711no—
963#478—711no—
964#478—711no—
965#478—711no—
966#478—711no—
967#478C2×D7111yescharacteristic, complemented
968#478C2×D7111yescharacteristic, complemented
969#476—711no—
970#476—711no—
971#476—711no—
972#476—711no—
973#475—711no—
974#475—711no—
975#474—711no—
976#474—711no—
977#474—711no—
978#474—711no—
979#468—711no—
980#468—711no—
981#468C2×D7111yescharacteristic, complemented
982#468C2×D7111yescharacteristic, complemented
983#465—711no—
984#465—711no—
985#465—711no—
986#465—711no—
987#465—711no—
988#465—711no—
989#465C2×D7111yescharacteristic, complemented
990#465C2×D7111yescharacteristic, complemented
991#461—711no—
992#461—711no—
993#461C2×D7111yescharacteristic, complemented
994#461C2×D7111yescharacteristic, complemented
995#460—711no—
996#460—711no—
997#460—711no—
998#460—711no—
999#460C2×D7111yescharacteristic, complemented
1000#460C2×D7111yescharacteristic, complemented
1001#450—711no—
1002#450—711no—
1003#450—711no—
1004#450—711no—
1005#450—711no—
1006#450—711no—
1007#446—711no—
1008#446—711no—
1009#440—711no—
1010#440—711no—
1011#440—711no—
1012#440—711no—
1013#440—711no—
1014#440—711no—
1015#440—711no—
1016#440—711no—
1017C4×SD16—711no—
1018C4×SD16—711no—
1019C4×SD16—711no—
1020C4×SD16—711no—
1021#435—711no—
1022#435—711no—
1023#435—711no—
1024#435—711no—
1025C8×D4—711no—
1026C8×D4—711no—
1027#433—711no—
1028#433—711no—
1029#432—711no—
1030#428—711no—
1031#428—711no—
1032#427—711no—
1033#427—711no—
1034C2×#107—711no—
1035C2×#106—711no—
1036#424—711no—
1037#424C2×D7111yescharacteristic, complemented
1038C2×C4⋊C8—711no—
1039#418—711no—
1040#418—711no—
1041C2×#102—711no—
1042C2×#102—711no—
1043C2×#102—711no—
1044C2×#102—711no—
1045C2×#41—1421no—
1046C2×#41—1421no—
1047C22×D4—711no—
1048C22×D4—711no—
1049C22×D4—711no—
1050C22×D4—1421no—
1051C22×D4—1421no—
1052C22×D4—1421no—
1053C23×C4—1421no—
1054C2×SD16—711no—
1055C2×SD16—711no—
1056C2×SD16—711no—
1057C2×SD16—711no—
1058C2×SD16C22×D7111yescharacteristic
1059C2×SD16C22×D7111yescharacteristic
1060C2×SD16C22×D7111yescharacteristic
1061C2×SD16C22×D7111yescharacteristic
1062C2×M16—711no—
1063C2×M16C22×D7111yescharacteristic
1064C22×C8—711no—
1065C22×C8—711no—
1066C22×C8—711no—
1067C22×C8C22×D7111yescharacteristic
1068C4⋊Q8—711no—
1069C4⋊Q8—711no—
1070C4⋊Q8—711no—
1071C4⋊Q8—711no—
1072C4⋊Q8—1421no—
1073C4⋊Q8—1421no—
1074C4⋊Q8—1421no—
1075C4⋊Q8—1421no—
1076C4⋊Q8C22×D7111yescharacteristic
1077#127—711no—
1078#127—711no—
1079#127C22×D7111yescharacteristic
1080#126—21no—
1081#126—21no—
1082#126—711no—
1083#126—711no—
1084#126—1421no—
1085#126—1421no—
1086#126—1421no—
1087#126—1421no—
1088#126—1421no—
1089#126—1421no—
1090#126—1421no—
1091#126—1421no—
1092#125—21no—
1093#125—21no—
1094#125—711no—
1095#125—711no—
1096#125—711no—
1097#125—711no—
1098#125—711no—
1099#125—711no—
1100#125—711no—
1101#125—1421no—
1102#125—1421no—
1103#125—1421no—
1104#125—1421no—
1105#125—1421no—
1106#125—1421no—
1107#125—1421no—
1108#125—1421no—
1109#125—1421no—
1110#125—1421no—
1111#125—1421no—
1112#125—1421no—
1113#125—1421no—
1114#125—1421no—
1115#125—1421no—
1116#125—1421no—
1117#125—1421no—
1118#125C22×D7111yescharacteristic
1119#125C22×D7111yescharacteristic
1120#124—711no—
1121#124—1421no—
1122#124—1421no—
1123#124—1421no—
1124#123—21no—
1125#123—21no—
1126#123—711no—
1127#123—711no—
1128#123—1421no—
1129#123—1421no—
1130#123—1421no—
1131#123—1421no—
1132#123—1421no—
1133#123—1421no—
1134#123—1421no—
1135#123—1421no—
1136C22⋊Q8—711no—
1137C22⋊Q8—711no—
1138C22⋊Q8—711no—
1139C22⋊Q8—711no—
1140C22⋊Q8—711no—
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⋊Q8—1421no—
1150C22⋊Q8—1421no—
1151C22⋊Q8—1421no—
1152C22⋊Q8—1421no—
1153C22⋊Q8C22×D7111yescharacteristic
1154C22⋊Q8C22×D7111yescharacteristic
1155#121—21no—
1156#121—21no—
1157#121—711no—
1158#121—711no—
1159#121—711no—
1160#121—711no—
1161#121—711no—
1162#121—1421no—
1163#121—1421no—
1164#121—1421no—
1165#121—1421no—
1166#121—1421no—
1167#121—1421no—
1168#121—1421no—
1169#121—1421no—
1170#121—1421no—
1171#121—1421no—
1172#121—1421no—
1173#121—1421no—
1174#121C22×D7111yescharacteristic
1175#121C22×D7111yescharacteristic
1176#120—1421no—
1177#120—1421no—
1178#120—1421no—
1179#120—1421no—
1180#120—1421no—
1181#120—1421no—
1182C4×Q8—711no—
1183C4×Q8—711no—
1184C4×Q8—711no—
1185C4×Q8—711no—
1186C4×Q8—711no—
1187C4×Q8—1421no—
1188C4×Q8—1421no—
1189C4×Q8—1421no—
1190C4×Q8C22×D7111yescharacteristic
1191C4×Q8C22×D7111yescharacteristic
1192C4×D4—711no—
1193C4×D4—711no—
1194C4×D4—711no—
1195C4×D4—711no—
1196C4×D4—711no—
1197C4×D4—711no—
1198C4×D4—711no—
1199C4×D4—711no—
1200C4×D4—711no—
1201C4×D4—711no—
1202C4×D4—711no—
1203C4×D4—1421no—
1204C4×D4—1421no—
1205C4×D4—1421no—
1206C4×D4—1421no—
1207C4×D4—1421no—
1208C4×D4—1421no—
1209C4×D4—1421no—
1210C4×D4—1421no—
1211C4×D4—1421no—
1212C4×D4—1421no—
1213C4×D4—1421no—
1214C4×D4C22×D7111yescharacteristic
1215C4×D4C22×D7111yescharacteristic
1216#117—711no—
1217#117—711no—
1218#117—711no—
1219#117—711no—
1220#117—711no—
1221#117—1421no—
1222#117—1421no—
1223#117—1421no—
1224#117—1421no—
1225#117—1421no—
1226#117—1421no—
1227#117C22×D7111yescharacteristic
1228C2×C4⋊C4—711no—
1229C2×C4⋊C4—711no—
1230C2×C4⋊C4—711no—
1231C2×C4⋊C4—711no—
1232C2×C4⋊C4—711no—
1233C2×C4⋊C4—1421no—
1234C2×C4⋊C4—1421no—
1235C2×C4⋊C4—1421no—
1236C2×C22⋊C4—1421no—
1237C2×C22⋊C4—1421no—
1238C2×C22⋊C4—1421no—
1239C2×C22⋊C4—1421no—
1240C2×C22⋊C4—1421no—
1241C2×C42—711no—
1242#107—711no—
1243#107—711no—
1244#107—711no—
1245#107—711no—
1246#107—711no—
1247#107—711no—
1248#107—711no—
1249#107—711no—
1250#107—711no—
1251#107—711no—
1252#107C22×D7111yescharacteristic
1253#107C22×D7111yescharacteristic
1254#106—711no—
1255#106—711no—
1256#106—711no—
1257#106—711no—
1258#106—711no—
1259#106—711no—
1260#106—711no—
1261#106—711no—
1262#106—711no—
1263#106—711no—
1264#106C22×D7111yescharacteristic
1265#106C22×D7111yescharacteristic
1266C4⋊C8—711no—
1267C4⋊C8—711no—
1268C4⋊C8—711no—
1269C4⋊C8—711no—
1270C4⋊C8—711no—
1271C4⋊C8—711no—
1272C4⋊C8C22×D7111yescharacteristic
1273C4⋊C8C22×D7111yescharacteristic
1274C4⋊C8C22×D7111yescharacteristic
1275C4⋊C8C22×D7111yescharacteristic
1276#103—711no—
1277#103—711no—
1278#103—711no—
1279#103—711no—
1280#103C22×D7111yescharacteristic
1281#103C22×D7111yescharacteristic
1282#103C22×D7111yescharacteristic
1283#103C22×D7111yescharacteristic
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—
1300#102—711no—
1301#102—711no—
1302#102—711no—
1303#102—711no—
1304#102C22×D7111yescharacteristic
1305#102C22×D7111yescharacteristic
1306#102C22×D7111yescharacteristic
1307#102C22×D7111yescharacteristic
1308C22⋊C8—711no—
1309C22⋊C8—711no—
1310C22⋊C8—711no—
1311C22⋊C8—711no—
1312C22⋊C8—711no—
1313C22⋊C8—711no—
1314#97—711no—
1315#97—711no—
1316#97—711no—
1317#97—711no—
1318C4×C8—711no—
1319C4×C8—711no—
1320C24—1421no—
1321C24—1421no—
1322C24—1421no—
1323#41—5682no—
1324#41—5682no—
1325C2×Q8—711no—
1326C2×Q8—1421no—
1327C2×Q8—1421no—
1328C2×Q8—1421no—
1329C2×Q8—1421no—
1330C2×Q8C23×D7111yescharacteristic
1331C2×Q8C23×D7111yescharacteristic
1332C2×D4—21no—
1333C2×D4—21no—
1334C2×D4—21no—
1335C2×D4—21no—
1336C2×D4—2841no—
1337C2×D4—2841no—
1338C2×D4—2841no—
1339C2×D4—5682no—
1340C2×D4—5682no—
1341C2×D4—5682no—
1342C2×D4—711no—
1343C2×D4—711no—
1344C2×D4—711no—
1345C2×D4—711no—
1346C2×D4—711no—
1347C2×D4—1421no—
1348C2×D4—1422no—
1349C2×D4—1421no—
1350C2×D4—1421no—
1351C2×D4—1421no—
1352C2×D4—1421no—
1353C2×D4—1421no—
1354C2×D4—1421no—
1355C2×D4—1421no—
1356C2×D4—1422no—
1357C2×D4—1422no—
1358C2×D4—1421no—
1359C2×D4—1421no—
1360C2×D4—1421no—
1361C2×D4C23×D7111yescharacteristic
1362C2×D4C23×D7111yescharacteristic
1363C22×C4—21no—
1364C22×C4—21no—
1365C22×C4—5682no—
1366C22×C4—711no—
1367C22×C4—711no—
1368C22×C4—711no—
1369C22×C4—711no—
1370C22×C4—1421no—
1371C22×C4—1421no—
1372C22×C4—1421no—
1373C22×C4—1421no—
1374C22×C4—1421no—
1375C22×C4—1421no—
1376C22×C4—1421no—
1377C22×C4—1421no—
1378C22×C4—1421no—
1379C22×C4—1421no—
1380C22×C4—1421no—
1381C22×C4—1421no—
1382C22×C4—1421no—
1383C22×C4C23×D7111yescharacteristic
1384SD16—41no—
1385SD16—41no—
1386SD16—41no—
1387SD16—41no—
1388SD16—2841no—
1389SD16—2841no—
1390SD16—1422no—
1391SD16—1422no—
1392M16—41no—
1393M16—2841no—
1394C2×C8—41no—
1395C2×C8—2841no—
1396C2×C8—2841no—
1397C2×C8—2841no—
1398C2×C8—711no—
1399C2×C8—711no—
1400C2×C8—711no—
1401C2×C8—711no—
1402C2×C8C23×D7111yescharacteristic
1403C2×C8C23×D7111yescharacteristic
1404C2×C8C23×D7111yescharacteristic
1405C2×C8C23×D7111yescharacteristic
1406C4⋊C4—21no—
1407C4⋊C4—21no—
1408C4⋊C4—21no—
1409C4⋊C4—21no—
1410C4⋊C4—21no—
1411C4⋊C4—21no—
1412C4⋊C4—21no—
1413C4⋊C4—21no—
1414C4⋊C4—21no—
1415C4⋊C4—21no—
1416C4⋊C4—711no—
1417C4⋊C4—711no—
1418C4⋊C4—711no—
1419C4⋊C4—711no—
1420C4⋊C4—711no—
1421C4⋊C4—711no—
1422C4⋊C4—711no—
1423C4⋊C4—711no—
1424C4⋊C4—711no—
1425C4⋊C4—711no—
1426C4⋊C4—711no—
1427C4⋊C4—711no—
1428C4⋊C4—711no—
1429C4⋊C4—711no—
1430C4⋊C4—1421no—
1431C4⋊C4—1421no—
1432C4⋊C4—1421no—
1433C4⋊C4—1421no—
1434C4⋊C4—1421no—
1435C4⋊C4—1421no—
1436C4⋊C4—1421no—
1437C4⋊C4—1421no—
1438C4⋊C4—1421no—
1439C4⋊C4—1421no—
1440C4⋊C4—1421no—
1441C4⋊C4—1421no—
1442C4⋊C4—1421no—
1443C4⋊C4—1421no—
1444C4⋊C4—1421no—
1445C4⋊C4—1421no—
1446C4⋊C4—1421no—
1447C4⋊C4—1421no—
1448C4⋊C4—1421no—
1449C4⋊C4—1421no—
1450C4⋊C4—1421no—
1451C4⋊C4—1421no—
1452C4⋊C4—1421no—
1453C4⋊C4—1421no—
1454C4⋊C4—1421no—
1455C4⋊C4—1421no—
1456C4⋊C4—1421no—
1457C4⋊C4—1421no—
1458C4⋊C4—1421no—
1459C4⋊C4D4×D7111yescharacteristic
1460C4⋊C4D4×D7111yescharacteristic
1461C4⋊C4C23×D7111yescharacteristic
1462C4⋊C4C23×D7111yescharacteristic
1463C4⋊C4C23×D7111yescharacteristic
1464C4⋊C4C23×D7111yescharacteristic
1465C22⋊C4—21no—
1466C22⋊C4—21no—
1467C22⋊C4—21no—
1468C22⋊C4—21no—
1469C22⋊C4—21no—
1470C22⋊C4—21no—
1471C22⋊C4—711no—
1472C22⋊C4—711no—
1473C22⋊C4—711no—
1474C22⋊C4—711no—
1475C22⋊C4—711no—
1476C22⋊C4—711no—
1477C22⋊C4—711no—
1478C22⋊C4—711no—
1479C22⋊C4—1421no—
1480C22⋊C4—1421no—
1481C22⋊C4—1421no—
1482C22⋊C4—1421no—
1483C22⋊C4—1421no—
1484C22⋊C4—1421no—
1485C22⋊C4—1421no—
1486C22⋊C4—1421no—
1487C22⋊C4—1421no—
1488C22⋊C4—1421no—
1489C22⋊C4—1421no—
1490C22⋊C4—1421no—
1491C22⋊C4—1421no—
1492C22⋊C4—1421no—
1493C22⋊C4—1421no—
1494C22⋊C4—1421no—
1495C22⋊C4—1421no—
1496C22⋊C4—1421no—
1497C22⋊C4—1421no—
1498C22⋊C4—1421no—
1499C22⋊C4D4×D7111yescharacteristic
1500C22⋊C4D4×D7111yescharacteristic
1501C42—21no—
1502C42—21no—
1503C42—711no—
1504C42—711no—
1505C42—711no—
1506C42—711no—
1507C42—1421no—
1508C42—1421no—
1509C42—1421no—
1510C42—1421no—
1511C42—1421no—
1512C42—1421no—
1513C42—1421no—
1514C42—1421no—
1515C42C23×D7111yescharacteristic
1516C42C23×D7111yescharacteristic
1517C23—21no—
1518C23—21no—
1519C23—2842no—
1520C23—2842no—
1521C23—2842no—
1522C23—2842no—
1523C23—5681no—
1524C23—5681no—
1525C23—5681no—
1526C23—5681no—
1527C23—5681no—
1528C23—711no—
1529C23—711no—
1530C23—1421no—
1531C23—1421no—
1532C23C2×D4×D7111yescharacteristic
1533Q8—21no—
1534Q8—21no—
1535Q8—21no—
1536Q8—21no—
1537Q8—2841no—
1538Q8—5681no—
1539Q8—5681no—
1540Q8—5681no—
1541Q8—5681no—
1542D4—21no—
1543D4—21no—
1544D4—21no—
1545D4—21no—
1546D4—81no—
1547D4—81no—
1548D4—81no—
1549D4—81no—
1550D4—2842no—
1551D4—2842no—
1552D4—2842no—
1553D4—2841no—
1554D4—2842no—
1555D4—2842no—
1556D4—2842no—
1557D4—5681no—
1558D4—5681no—
1559D4—5681no—
1560D4—5681no—
1561D4—5681no—
1562D4—712no—
1563D4—1422no—
1564D4—1422no—
1565D4—1421no—
1566D4—1421no—
1567D4—1421no—
1568C2×C4—21no—
1569C2×C4—21no—
1570C2×C4—21no—
1571C2×C4—21no—
1572C2×C4—21no—
1573C2×C4—21no—
1574C2×C4—21no—
1575C2×C4—21no—
1576C2×C4—81no—
1577C2×C4—81no—
1578C2×C4—2841no—
1579C2×C4—2842no—
1580C2×C4—2842no—
1581C2×C4—2842no—
1582C2×C4—5681no—
1583C2×C4—5681no—
1584C2×C4—5681no—
1585C2×C4—5681no—
1586C2×C4—5681no—
1587C2×C4—5681no—
1588C2×C4—5681no—
1589C2×C4—5681no—
1590C2×C4—5681no—
1591C2×C4—5681no—
1592C2×C4—711no—
1593C2×C4—711no—
1594C2×C4—711no—
1595C2×C4—711no—
1596C2×C4—711no—
1597C2×C4—711no—
1598C2×C4—1422no—
1599C2×C4—1421no—
1600C2×C4—1421no—
1601C2×C4—1421no—
1602C2×C4—1421no—
1603C2×C4—1421no—
1604C2×C4—1421no—
1605C2×C4—1421no—
1606C2×C4—1421no—
1607C2×C4—1421no—
1608C2×C4—1421no—
1609C2×C4C2×D4×D7111yescharacteristic
1610C2×C4C2×D4×D7111yescharacteristic
1611C2×C4C2×D4×D7111yescharacteristic
1612C2×C4C2×D4×D7111yescharacteristic
1613C2×C4C2×D4×D7111yescharacteristic
1614C2×C4C24×D7111yescharacteristic
1615C8—21no—
1616C8—21no—
1617C8—21no—
1618C8—21no—
1619C8—1421no—
1620C8—1421no—
1621C8—1421no—
1622C8—1421no—
1623C22—21no—
1624C22—21no—
1625C22—21no—
1626C22—41no—
1627C22—41no—
1628C22—41no—
1629C22—41no—
1630C22—41no—
1631C22—41no—
1632C22—2841no—
1633C22—2841no—
1634C22—2841no—
1635C22—2841no—
1636C22—2841no—
1637C22—5684no—
1638C22—712no—
1639C22—11362no—
1640C22—11362no—
1641C22—1421no—
1642C22—1422no—
1643C22—1421no—
1644C22—1421no—
1645C22—1421no—
1646C22—1421no—
1647C22C22×D4×D7111yescharacteristic
1648C4—21no—
1649C4—21no—
1650C4—21no—
1651C4—21no—
1652C4—21no—
1653C4—41no—
1654C4—41no—
1655C4—41no—
1656C4—41no—
1657C4—41no—
1658C4—41no—
1659C4—2841no—
1660C4—2841no—
1661C4—2841no—
1662C4—2841no—
1663C4—2841no—
1664C4—2841no—
1665C4—1421no—
1666C4—1421no—
1667C4—1421no—
1668C4—1421no—
1669C4—1421no—
1670C4—1421no—
1671C42−1+4×D7111yescharacteristic
1672C4#1798683411yescharacteristic
1673C2—41no—
1674C2—81no—
1675C2—81no—
1676C2—2842no—
1677C2—2841no—
1678C2—5681no—
1679C2—1422no—
1680C2#2260201511yescharacteristic
1681C2#577×D7111yescharacteristic
1682C2#2260311811yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3260C2
socleC22×C71C23×D4
prime radical#22602370C2
hypercenter#3260D71
hypocenterC71#62164
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ #117 ◁ #3260

Complements

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

NH ≅ G/Ntype
1. #22602945C2semidirect
3. #22601288C2semidirect
4. #22601283C2semidirect
5. #22601073C2semidirect
6. #22601064C2semidirect
7. #22600861C2semidirect
8. #22600850C2semidirect
9. #22600832C2semidirect
10. #22600820C2semidirect
11. #22600716C2semidirect
12. #22600714C2semidirect
13. #22600368C2semidirect
14. #22600367C2semidirect
15. #22600356C2semidirect
16. #22600356C2semidirect
17. #22600167C2semidirect
18. #22600159C2semidirect
19. #22599783C2semidirect
20. #22599653C2semidirect
21. #22599598C2semidirect
22. #22599587C2semidirect
23. #22599528C2semidirect
24. #22598590C2semidirect
25. #22598587C2semidirect
26. #22598438C2semidirect
27. #22598172C2semidirect
28. #22598168C2semidirect
29. #478×D71C2semidirect
30. #22597477C2semidirect
31. C71×#3260C2semidirect
34. #17986728C22semidirect
35. #17986725C22semidirect
37. #17986709C22semidirect
38. #17986707C22semidirect
43. #17986691C22semidirect
44. #17986690C22semidirect
47. #17986683C22semidirect
48. #17986683C22semidirect
57. #17986629C22semidirect
58. #17986627C22semidirect
59. #17986610C22semidirect
66. #17986554C22semidirect
69. #125×D71C22semidirect
75. #17986409C22semidirect
76. #17986407C22semidirect
77. #17986407C22semidirect
78. #17986406C22semidirect
79. #17986399C22semidirect
80. #17986398C22semidirect
81. #17986363C22semidirect
82. #17986362C22semidirect
83. #17986362C22semidirect
84. #17986362C22semidirect
85. #17986345C22semidirect
86. #17986344C22semidirect
87. #17986339C22semidirect
88. #17986338C22semidirect
89. #17986337C22semidirect
90. #17986337C22semidirect
91. #17986333C22semidirect
92. #17986333C22semidirect
93. #17986325C22semidirect
94. #17986322C22semidirect
95. #17986320C22semidirect
96. #17986320C22semidirect
97. #17986319C22semidirect
98. #17986316C22semidirect
99. #17986316C22semidirect
100. #17986315C22semidirect
101. #17986314C22semidirect
102. #17986314C22semidirect
103. #17986311C22semidirect
104. #17986310C22semidirect
105. #17986308C22semidirect
106. #17986304C22semidirect
109. #17986301C22semidirect
112. #17986300C22semidirect
113. #17986300C22semidirect
114. #17986299C22semidirect
115. #17986299C22semidirect
117. #17986297C22semidirect
118. #17986297C22semidirect
120. #17986296C22semidirect
122. #17986290C22semidirect
123. #17986289C22semidirect
125. #17986282C22semidirect
126. #17986282C22semidirect
128. #17986280C22semidirect
129. #17986279C22semidirect
130. #17986277C22semidirect
131. #17986248C22semidirect
132. #17986242C22semidirect
133. #17986231C22semidirect
134. #17986231C22semidirect
135. #17986231C22semidirect
136. #17986225C22semidirect
137. #17986225C22semidirect
138. #17986225C22semidirect
140. #17986201C22semidirect
141. #17986197C22semidirect
142. #17986197C22semidirect
143. #17986197C22semidirect
144. #17986197C22semidirect
151. #17986128C22semidirect
152. #17986126C22semidirect
156. #17986100C22semidirect
157. #17986100C22semidirect
158. #17986100C22semidirect
160. #17986097C22semidirect
161. SD16×Dic71C22semidirect
163. C4×#11765852C22semidirect
165. #17986070C22semidirect
166. #17986069C22semidirect
167. #17986068C22semidirect
168. #17986068C22semidirect
169. #17986064C22semidirect
170. C8×C22⋊D71C22semidirect
171. #17986060C22semidirect
172. #17986059C22semidirect
173. #17986055C22semidirect
174. #17986041C22semidirect
175. #17986038C22semidirect
176. #17986037C22semidirect
177. #17986036C22semidirect
178. #107×D71C22semidirect
179. #106×D71C22semidirect
180. #17986024C22semidirect
181. C4⋊C8×D71C22semidirect
188. #541×C71C22semidirect
190. #479×C71C22semidirect
191. #479×C71C22semidirect
192. #478×C71C22semidirect
193. #478×C71C22semidirect
194. #468×C71C22semidirect
195. #468×C71C22semidirect
196. #465×C71C22semidirect
197. #465×C71C22semidirect
198. #461×C71C22semidirect
199. #461×C71C22semidirect
200. #460×C71C22semidirect
201. #460×C71C22semidirect
202. #424×C71C22semidirect
861. #3260D71semidirect
873. C71#62164semidirect
904. #541C2×D71semidirect
951. #479C2×D71semidirect
952. #479C2×D71semidirect
967. #478C2×D71semidirect
968. #478C2×D71semidirect
981. #468C2×D71semidirect
982. #468C2×D71semidirect
989. #465C2×D71semidirect
990. #465C2×D71semidirect
993. #461C2×D71semidirect
994. #461C2×D71semidirect
999. #460C2×D71semidirect
1000. #460C2×D71semidirect
1037. #424C2×D71semidirect

Maximal subgroups

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

subgroupindex
#226029452
#226023702
#226012882
#226012832
#226010732
#226010642
#226008612
#226008502
#226008322
#226008202
#226007162
#226007142
#226003682
#226003672
#226003562
#226001672
#226001592
#225997832
#225996532
#225995982
#225995872
#225995282
#225985902
#225985872
#225984382
#225981722
#225981682
#478×D712
#225974772
C71×#32602
#6216471