Finite Group Databasebeta

← #32874430

Subgroups — #32874430

Order 18176.

2572 conjugacy classes of subgroups.

The subgroup lattice has 1976 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22601893C211yesmaximal, characteristic, complemented
2D42×D71C211yesmaximal, characteristic, complemented
3#22600580C211yesmaximal, characteristic, complemented
4#22600578C211yesmaximal, characteristic, complemented
5#22600566C211yesmaximal, characteristic, complemented
6#22600564C211yesmaximal, characteristic, complemented
7#22600483C211yesmaximal, characteristic, complemented
8#22600481C211yesmaximal, characteristic, complemented
9#22600480C211yesmaximal, characteristic, complemented
10#22600478C211yesmaximal, characteristic, complemented
11#22600368C211yesmaximal, characteristic, complemented
12#22600366C211yesmaximal, characteristic, complemented
13#22600355C211yesmaximal, characteristic, complemented
14#22600159C211yesmaximal, characteristic, complemented
15#22600157C211yesmaximal, characteristic, complemented
16#22600151C211yesmaximal, characteristic, complemented
17#22600149C211yesmaximal, characteristic, complemented
18#22598713C211yesmaximal, characteristic, complemented
19#22598279C211yesmaximal, characteristic, complemented
20#22598275C211yesmaximal, characteristic, complemented
21#22598135C211yesmaximal, characteristic, complemented
22#22597954C211yesmaximal, characteristic, complemented
23#22597952C211yesmaximal, characteristic, complemented
24#22597817C211yesmaximal, characteristic, complemented
25#22597568C211yesmaximal, characteristic, complemented
26#22597568C211yesmaximal, characteristic, complemented
27#22597145C211yesmaximal, characteristic, complemented
28#22597073C211yesmaximal, characteristic, complemented
29C2×#17986002C211yesmaximal, characteristic, complemented
30#418×D71C211yesmaximal, characteristic, complemented
31C71×#3310C211yesmaximal, characteristic, complemented
32C22×D4×D71—21no—
33C22×D4×D71C2211yescharacteristic
34C22×D4×D71C2211yescharacteristic
35C2×#14556155C2211yescharacteristic
36C2×#14556155C2211yescharacteristic, complemented
37C2×#14556155C2211yescharacteristic, complemented
38C22×#11765848C2211yescharacteristic, complemented
39C2×M16×D71C2211yescharacteristic, complemented
40#17986720C2211yescharacteristic, complemented
41#17986712C2211yescharacteristic, complemented
42#17986707C2211yescharacteristic, complemented
43#17986702C2211yescharacteristic, complemented
44#17986695C2211yescharacteristic, complemented
45#17986690C2211yescharacteristic, complemented
46#17986681—21no—
47#17986674—21no—
48#17986673—21no—
49#17986650C2211yescharacteristic, complemented
50#17986641—21no—
51D4×D284C2211yescharacteristic
52D4×D284C2211yescharacteristic
53#17986634C2211yescharacteristic
54#17986633—21no—
55#17986633C2211yescharacteristic
56#17986633C2211yescharacteristic
57D4×C22⋊D71—21no—
58D4×C22⋊D71C2211yescharacteristic
59D4×C22⋊D71C2211yescharacteristic
60#17986631—21no—
61#17986631—21no—
62#17986555C2211yescharacteristic, complemented
63#127×D71C2211yescharacteristic
64#17986534—21no—
65#17986532—21no—
66#17986526—21no—
67#17986512C2211yescharacteristic, complemented
68#17986512C2211yescharacteristic, complemented
69#121×D71—21no—
70#121×D71C2211yescharacteristic
71#121×D71C2211yescharacteristic
72#120×D71—21no—
73#120×D71—21no—
74C4×#11765866C2211yescharacteristic, complemented
75#17986467—21no—
76C4×D4×D71C2211yescharacteristic
77C4×D4×D71C2211yescharacteristic
78C2×#14556086C2211yescharacteristic, complemented
79#117×D71C2211yescharacteristic, complemented
80#17986365C2211yescharacteristic, complemented
81#17986364C2211yescharacteristic, complemented
82#17986363C2211yescharacteristic, complemented
83#17986344C2211yescharacteristic, complemented
84#17986344C2211yescharacteristic, complemented
85#17986344C2211yescharacteristic, complemented
86#17986344C2211yescharacteristic, complemented
87#17986326C2211yescharacteristic, complemented
88#17986326C2211yescharacteristic, complemented
89#17986324C2211yescharacteristic, complemented
90#17986323C2211yescharacteristic, complemented
91#17986322C2211yescharacteristic, complemented
92#17986322C2211yescharacteristic, complemented
93#17986320C2211yescharacteristic, complemented
94#17986319C2211yescharacteristic, complemented
95#17986318C2211yescharacteristic, complemented
96#17986316C2211yescharacteristic, complemented
97#17986315C2211yescharacteristic, complemented
98#17986314C2211yescharacteristic, complemented
99#17986312C2211yescharacteristic, complemented
100#17986311C2211yescharacteristic, complemented
101#17986300C2211yescharacteristic, complemented
102#17986299C2211yescharacteristic, complemented
103#17986296C2211yescharacteristic, complemented
104#17986288C2211yescharacteristic, complemented
105#17986287C2211yescharacteristic, complemented
106#17986278C2211yescharacteristic, complemented
107#17986277C2211yescharacteristic, complemented
108#17986253C2211yescharacteristic, complemented
109#17986252C2211yescharacteristic, complemented
110#17986251C2211yescharacteristic, complemented
111#17986250C2211yescharacteristic, complemented
112#17986248C2211yescharacteristic, complemented
113#17986247C2211yescharacteristic, complemented
114#17986242C2211yescharacteristic, complemented
115#17986236C2211yescharacteristic, complemented
116#17986235C2211yescharacteristic, complemented
117#17986234C2211yescharacteristic, complemented
118#17986233C2211yescharacteristic, complemented
119#17986231C2211yescharacteristic, complemented
120#17986230C2211yescharacteristic, complemented
121#17986225C2211yescharacteristic, complemented
122#17986199C2211yescharacteristic, complemented
123#17986197C2211yescharacteristic, complemented
124#17986197C2211yescharacteristic, complemented
125#17986195C2211yescharacteristic, complemented
126#17986193C2211yescharacteristic, complemented
127#17986193C2211yescharacteristic, complemented
128#17986191C2211yescharacteristic, complemented
129#17986149C2211yescharacteristic, complemented
130#17986149C2211yescharacteristic, complemented
131#17986148C2211yescharacteristic, complemented
132#17986148C2211yescharacteristic, complemented
133#17986148C2211yescharacteristic, complemented
134#17986148C2211yescharacteristic, complemented
135#17986135C2211yescharacteristic, complemented
136#17986135C2211yescharacteristic, complemented
137#17986134C2211yescharacteristic, complemented
138#17986134C2211yescharacteristic, complemented
139#17986134C2211yescharacteristic, complemented
140#17986134C2211yescharacteristic, complemented
141#17986133C2211yescharacteristic, complemented
142#17986133C2211yescharacteristic, complemented
143#17986112C2211yescharacteristic, complemented
144#17986109C2211yescharacteristic, complemented
145#17986097C2211yescharacteristic, complemented
146SD16×Dic71C2211yescharacteristic, complemented
147#17986084C2211yescharacteristic, complemented
148#17986081C2211yescharacteristic, complemented
149#17986079C2211yescharacteristic, complemented
150#17986075C2211yescharacteristic, complemented
151#17986074C2211yescharacteristic, complemented
152#17986072C2211yescharacteristic, complemented
153#17986071C2211yescharacteristic, complemented
154#17986069C2211yescharacteristic, complemented
155C8×C22⋊D71C2211yescharacteristic, complemented
156(C22⋊D71)⋊C8C2211yescharacteristic, complemented
157#17986040C2211yescharacteristic, complemented
158#17986040C2211yescharacteristic, complemented
159#17986038C2211yescharacteristic, complemented
160#17986021C2211yescharacteristic, complemented
161#17986005C2211yescharacteristic, complemented
162#17986004C2211yescharacteristic, complemented
163#17986003C2211yescharacteristic, complemented
164#17986002C2211yescharacteristic
165#17986002C2211yescharacteristic
166#17986002C2211yescharacteristic
167#17986002C2211yescharacteristic, complemented
168#17986002C2211yescharacteristic, complemented
169#17986002C2211yescharacteristic, complemented
170#17986002C2211yescharacteristic, complemented
171#17986002C2211yescharacteristic, complemented
172#17986002C2211yescharacteristic, complemented
173#17986002C2211yescharacteristic, complemented
174#17986002C2211yescharacteristic, complemented
175#17986002C2211yescharacteristic, complemented
176#17986002C2211yescharacteristic, complemented
177#17985999C2211yescharacteristic, complemented
178C2×#14556050C2211yescharacteristic, complemented
179C2×#14556049C2211yescharacteristic, complemented
180C2×#14556048C2211yescharacteristic, complemented
181#102×D71C2211yescharacteristic, complemented
182#102×D71C2211yescharacteristic, complemented
183#102×D71C2211yescharacteristic, complemented
184#102×D71C2211yescharacteristic, complemented
185#17985961C2211yescharacteristic, complemented
186#17985961C2211yescharacteristic, complemented
187#17985951C2211yescharacteristic, complemented
188#552×C71C2211yescharacteristic, complemented
189D42×C71C2211yescharacteristic
190#490×C71C2211yescharacteristic, complemented
191#482×C71C2211yescharacteristic, complemented
192#480×C71C2211yescharacteristic, complemented
193#478×C71C2211yescharacteristic, complemented
194#468×C71C2211yescharacteristic, complemented
195#465×C71C2211yescharacteristic, complemented
196#460×C71C2211yescharacteristic, complemented
197#450×C71C2211yescharacteristic, complemented
198#450×C71C2211yescharacteristic, complemented
199#440×C71C2211yescharacteristic, complemented
200#435×C71C2211yescharacteristic, complemented
201#418×C71C2211yescharacteristic, complemented
202C2×#102×C71C2211yescharacteristic, complemented
203C24×D71—21no—
204C24×D71—21no—
205C2×#11765866C2311yescharacteristic
206C2×#11765865—21no—
207C22×D284—21no—
208C22×D284C2311yescharacteristic
209C22×D284C2311yescharacteristic
210C22×C22⋊D71—21no—
211C22×C22⋊D71—21no—
212C22×C22⋊D71—21no—
213C22×C22⋊D71—21no—
214C2×D4×D71—24no—
215C2×D4×D71—24no—
216C2×D4×D71—21no—
217C2×D4×D71—21no—
218C2×D4×D71—21no—
219C2×D4×D71—21no—
220C2×D4×D71—21no—
221C2×D4×D71—21no—
222C2×D4×D71—21no—
223C2×D4×D71—21no—
224C2×D4×D71—21no—
225C2×D4×D71—21no—
226C2×D4×D71—21no—
227C2×D4×D71—21no—
228C2×D4×D71—42no—
229C2×D4×D71—42no—
230C2×D4×D71—48no—
231C2×D4×D71D411yescharacteristic
232C2×D4×D71C2311yescharacteristic
233C2×D4×D71C2311yescharacteristic
234C2×D4×D71C2311yescharacteristic
235C2×D4×D71C2311yescharacteristic
236C2×D4×D71C2311yescharacteristic
237C2×D4×D71C2311yescharacteristic
238C2×D4×D71C2311yescharacteristic
239C22×C4×D71—21no—
240C22×C4×D71C2311yescharacteristic
241C22×C4×D71C2311yescharacteristic
242#14556155—24no—
243#14556155—42no—
244#14556155—42no—
245C2×#11765852C2311yescharacteristic
246C2×#11765852C2311yescharacteristic, complemented
247C2×#11765852C2311yescharacteristic, complemented
248C2×D568C2311yescharacteristic
249C2×D568C2311yescharacteristic, complemented
250C2×D568C2311yescharacteristic, complemented
251C2×#11765850C2311yescharacteristic
252C2×#11765850C2311yescharacteristic, complemented
253C2×#11765850C2311yescharacteristic, complemented
254C2×#11765849C2311yescharacteristic, complemented
255C2×#11765848—42no—
256C2×#11765848C2311yescharacteristic
257C2×#11765848C2311yescharacteristic
258C2×#11765848C2311yescharacteristic
259C2×#11765848C2311yescharacteristic
260C2×#11765848C2311yescharacteristic, complemented
261C2×#11765848C2311yescharacteristic, complemented
262M16×D71—42no—
263C22×C71⋊C8C2311yescharacteristic, complemented
264C2×C8×D71C2311yescharacteristic, complemented
265C2×C8×D71C2311yescharacteristic, complemented
266#14556127C2311yescharacteristic, complemented
267#14556127C2311yescharacteristic, complemented
268#14556125C2311yescharacteristic
269#14556124—21no—
270#14556124—21no—
271#14556124C2311yescharacteristic
272#14556124C2311yescharacteristic
273#14556123—21no—
274#14556123—21no—
275#14556123—21no—
276#14556122—21no—
277#14556121—21no—
278#14556120C2311yescharacteristic, complemented
279#14556118—21no—
280#14556118—21no—
281#14556116—21no—
282#14556114—21no—
283#14556114—21no—
284#14556113—21no—
285#14556113—21no—
286#14556113—21no—
287#14556113—21no—
288#14556113—21no—
289#14556111—21no—
290#14556110—21no—
291#14556108—21no—
292#14556106—21no—
293#14556106—21no—
294#14556106—21no—
295#14556105—21no—
296#14556104C2311yescharacteristic, complemented
297#14556104C2311yescharacteristic, complemented
298#14556103—21no—
299#14556103—21no—
300#14556103C2311yescharacteristic
301#14556103C2311yescharacteristic
302#14556103C2311yescharacteristic, complemented
303#14556103C2311yescharacteristic, complemented
304#14556102—21no—
305#14556102C2311yescharacteristic
306#14556102C2311yescharacteristic
307#14556102C2311yescharacteristic, complemented
308#14556102C2311yescharacteristic, complemented
309#14556101—21no—
310#14556101—21no—
311#14556101—21no—
312#14556101—21no—
313#14556101—21no—
314#14556100—21no—
315#14556100—21no—
316#14556100—21no—
317#14556100—21no—
318#14556100—21no—
319#14556099—21no—
320#14556099C2311yescharacteristic
321#14556099C2311yescharacteristic
322#14556098—21no—
323#14556098—21no—
324#14556098—21no—
325#14556098—21no—
326#14556098—21no—
327#14556098—21no—
328#14556098—21no—
329#14556098—21no—
330#14556097—21no—
331#14556097—21no—
332#14556096—21no—
333#14556096—21no—
334#14556096—21no—
335#14556096—21no—
336#14556096—21no—
337#14556096—21no—
338Q8×Dic71C2311yescharacteristic, complemented
339#14556093—21no—
340#14556093—21no—
341#14556093—21no—
342C4×D284—21no—
343C4×D284C2311yescharacteristic
344C4×D284C2311yescharacteristic
345C4×D284C2311yescharacteristic, complemented
346D4×Dic71D411yescharacteristic
347D4×Dic71C2311yescharacteristic
348#14556090—21no—
349#14556090—21no—
350#14556090—21no—
351#14556090—21no—
352#14556090D411yescharacteristic
353#14556090C2311yescharacteristic
354#14556090C2311yescharacteristic, complemented
355C4×C22⋊D71—21no—
356C4×C22⋊D71C2311yescharacteristic
357C4×C22⋊D71C2311yescharacteristic
358(C22⋊D71)⋊C4—21no—
359(C22⋊D71)⋊C4—21no—
360(C22⋊D71)⋊C4—21no—
361(C22⋊D71)⋊C4—21no—
362(C22⋊D71)⋊C4—21no—
363(C22⋊D71)⋊C4D411yescharacteristic
364(C22⋊D71)⋊C4D411yescharacteristic
365#14556087C2311yescharacteristic, complemented
366#14556086—21no—
367#14556086—21no—
368#14556086—21no—
369#14556086C2311yescharacteristic
370#14556086C2311yescharacteristic
371#14556086C2311yescharacteristic
372#14556086C2311yescharacteristic, complemented
373#14556086C2311yescharacteristic, complemented
374#14556085—21no—
375#14556085—21no—
376#14556085—21no—
377#14556084—21no—
378C2×C4⋊Dic71C2311yescharacteristic, complemented
379C4⋊C4×D71D411yescharacteristic
380C4⋊C4×D71C2311yescharacteristic
381C4⋊C4×D71C2311yescharacteristic, complemented
382C4⋊C4×D71C2311yescharacteristic, complemented
383C2×(C2×D71)⋊C4—21no—
384C22⋊C4×D71—21no—
385C22⋊C4×D71—21no—
386C22⋊C4×D71—21no—
387C22⋊C4×D71—21no—
388C22⋊C4×D71D411yescharacteristic
389C22⋊C4×D71D411yescharacteristic
390C2×C4×Dic71—21no—
391C42×D71—21no—
392C42×D71—21no—
393C42×D71C2311yescharacteristic
394#14556062C2311yescharacteristic, complemented
395#14556061C2311yescharacteristic, complemented
396#14556061C2311yescharacteristic, complemented
397#14556061C2311yescharacteristic, complemented
398#14556060C2311yescharacteristic, complemented
399#14556060C2311yescharacteristic, complemented
400#14556059C2311yescharacteristic, complemented
401#14556059C2311yescharacteristic, complemented
402#14556059C2311yescharacteristic, complemented
403C4⋊(C71⋊C8)C2311yescharacteristic, complemented
404Dic71⋊C8C2311yescharacteristic, complemented
405Dic71⋊C8C2311yescharacteristic, complemented
406#14556052C2311yescharacteristic, complemented
407#14556050C2311yescharacteristic
408#14556050C2311yescharacteristic
409#14556050C2311yescharacteristic
410#14556050C2311yescharacteristic, complemented
411#14556050C2311yescharacteristic, complemented
412#14556050C2311yescharacteristic, complemented
413#14556050C2311yescharacteristic, complemented
414#14556050C2311yescharacteristic, complemented
415#14556050C2311yescharacteristic, complemented
416#14556050C2311yescharacteristic, complemented
417#14556049C2311yescharacteristic
418#14556049C2311yescharacteristic
419#14556049C2311yescharacteristic
420#14556049C2311yescharacteristic, complemented
421#14556049C2311yescharacteristic, complemented
422#14556049C2311yescharacteristic, complemented
423#14556049C2311yescharacteristic, complemented
424#14556049C2311yescharacteristic, complemented
425#14556049C2311yescharacteristic, complemented
426#14556048C2311yescharacteristic
427#14556048C2311yescharacteristic
428#14556048C2311yescharacteristic
429#14556048C2311yescharacteristic, complemented
430#14556048C2311yescharacteristic, complemented
431#14556048C2311yescharacteristic, complemented
432#14556048C2311yescharacteristic, complemented
433#14556048C2311yescharacteristic, complemented
434#14556048C2311yescharacteristic, complemented
435#14556048C2311yescharacteristic, complemented
436C22⋊(C71⋊C8)C2311yescharacteristic, complemented
437C22⋊(C71⋊C8)C2311yescharacteristic, complemented
438(C2×D71)⋊C8C2311yescharacteristic, complemented
439(C2×D71)⋊C8C2311yescharacteristic, complemented
440(C2×D71)⋊C8C2311yescharacteristic, complemented
441(C2×D71)⋊C8C2311yescharacteristic, complemented
442#14556039C2311yescharacteristic, complemented
443C8×Dic71C2311yescharacteristic, complemented
444C8×Dic71C2311yescharacteristic, complemented
445C22×D4×C71—21no—
446C22×D4×C71C2311yescharacteristic
447C22×D4×C71C2311yescharacteristic
448C2×SD16×C71C2311yescharacteristic
449C2×SD16×C71C2311yescharacteristic, complemented
450C2×SD16×C71C2311yescharacteristic, complemented
451C2×M16×C71C2311yescharacteristic, complemented
452C22×C8×C71C2311yescharacteristic, complemented
453#127×C71C2311yescharacteristic
454#126×C71—21no—
455#125×C71—21no—
456#125×C71C2311yescharacteristic, complemented
457#123×C71—21no—
458C22⋊Q8×C71C2311yescharacteristic, complemented
459C22⋊Q8×C71C2311yescharacteristic, complemented
460#121×C71—21no—
461#121×C71C2311yescharacteristic
462#121×C71C2311yescharacteristic
463#120×C71—21no—
464#120×C71—21no—
465C4×Q8×C71C2311yescharacteristic, complemented
466C4×D4×C71C2311yescharacteristic
467C4×D4×C71C2311yescharacteristic
468#117×C71—21no—
469#117×C71C2311yescharacteristic, complemented
470C2×C4⋊C4×C71C2311yescharacteristic, complemented
471#107×C71C2311yescharacteristic, complemented
472#107×C71C2311yescharacteristic, complemented
473#106×C71C2311yescharacteristic, complemented
474C4⋊C8×C71C2311yescharacteristic, complemented
475#103×C71C2311yescharacteristic, complemented
476#102×C71C2311yescharacteristic
477#102×C71C2311yescharacteristic
478#102×C71C2311yescharacteristic
479#102×C71C2311yescharacteristic, complemented
480#102×C71C2311yescharacteristic, complemented
481#102×C71C2311yescharacteristic, complemented
482#102×C71C2311yescharacteristic, complemented
483#102×C71C2311yescharacteristic, complemented
484#102×C71C2311yescharacteristic, complemented
485C22⋊C8×C71C2311yescharacteristic, complemented
486C22⋊C8×C71C2311yescharacteristic, complemented
487#97×C71C2311yescharacteristic, complemented
488C23×D71—21no—
489C23×D71—21no—
490C23×D71—21no—
491C23×D71—21no—
492C23×D71—21no—
493C23×D71—21no—
494C23×D71—21no—
495C23×D71—21no—
496C23×D71—21no—
497C23×D71—44no—
498C23×D71—44no—
499C23×D71—44no—
500C23×D71—44no—
501C23×D71—82no—
502C23×D71—82no—
503C23×D71C2×D411yescharacteristic
504C23×D71C2×D411yescharacteristic
505#11765866—22no—
506#11765866—22no—
507#11765865—44no—
508C2×Dic142—21no—
509C2×Dic142—21no—
510C2×D284—22no—
511C2×D284—22no—
512C2×D284—21no—
513C2×D284—21no—
514C2×D284—21no—
515C2×D284—21no—
516C2×D284—21no—
517C2×D284—21no—
518C2×D284—21no—
519C2×D284—21no—
520C2×D284—21no—
521C2×D284—41no—
522C2×D284—41no—
523C2×D284—44no—
524C2×D284C2×D411yescharacteristic
525C2×D284C2411yescharacteristic
526C2×D284C2411yescharacteristic
527C2×D284C2411yescharacteristic
528C2×D284C2411yescharacteristic
529C2×C22⋊D71—21no—
530C2×C22⋊D71—21no—
531C2×C22⋊D71—21no—
532C2×C22⋊D71—21no—
533C2×C22⋊D71—21no—
534C2×C22⋊D71—21no—
535C2×C22⋊D71—21no—
536C2×C22⋊D71—21no—
537C2×C22⋊D71—21no—
538C2×C22⋊D71—21no—
539C2×C22⋊D71—21no—
540C2×C22⋊D71—21no—
541C2×C22⋊D71—21no—
542C2×C22⋊D71—21no—
543C2×C22⋊D71—21no—
544C2×C22⋊D71—21no—
545C2×C22⋊D71—21no—
546C2×C22⋊D71—44no—
547C2×C22⋊D71—44no—
548C2×C22⋊D71—44no—
549C2×C22⋊D71—44no—
550C2×C22⋊D71C2×D411yescharacteristic
551C2×C22⋊D71C2×D411yescharacteristic
552D4×D71—24no—
553D4×D71—22no—
554D4×D71—22no—
555D4×D71—22no—
556D4×D71—22no—
557D4×D71—22no—
558D4×D71—22no—
559D4×D71—22no—
560D4×D71—22no—
561D4×D71—22no—
562D4×D71—41no—
563D4×D71—41no—
564D4×D71—41no—
565D4×D71—41no—
566D4×D71—44no—
567D4×D71—44no—
568D4×D71—44no—
569D4×D71—44no—
570D4×D71—44no—
571D4×D71—44no—
572D4×D71—44no—
573D4×D71—44no—
574D4×D71—44no—
575D4×D71—44no—
576D4×D71—44no—
577D4×D71—82no—
578D4×D71#4114yescomplemented
579C22×Dic71—21no—
580C22×Dic71—21no—
581C22×Dic71C2×D411yescharacteristic
582C22×Dic71C2×D411yescharacteristic
583C2×C4×D71—22no—
584C2×C4×D71—22no—
585C2×C4×D71—22no—
586C2×C4×D71—22no—
587C2×C4×D71—21no—
588C2×C4×D71—21no—
589C2×C4×D71—21no—
590C2×C4×D71—21no—
591C2×C4×D71—21no—
592C2×C4×D71—21no—
593C2×C4×D71—21no—
594C2×C4×D71—21no—
595C2×C4×D71—44no—
596C2×C4×D71C2×D411yescharacteristic
597C2×C4×D71C2×D411yescharacteristic
598C2×C4×D71C2×D411yescharacteristic
599C2×C4×D71C2×D411yescharacteristic
600C2×C4×D71C2×D411yescharacteristic
601C2×C4×D71C2×D411yescharacteristic
602C2×C4×D71C2411yescharacteristic
603C2×C4×D71C2411yescharacteristic
604C2×C4×D71C2411yescharacteristic
605#11765852—22no—
606#11765852—41no—
607#11765852—41no—
608D568—22no—
609D568—41no—
610D568—41no—
611#11765850—22no—
612#11765850—41no—
613#11765850—41no—
614#11765849—41no—
615#11765848—22no—
616#11765848—22no—
617#11765848—22no—
618#11765848—22no—
619#11765848—41no—
620#11765848—41no—
621C2×C71⋊C8—41no—
622C2×C71⋊C8C2411yescharacteristic
623C2×C71⋊C8C2411yescharacteristic
624C2×C71⋊C8C2411yescharacteristic
625C2×C71⋊C8C2411yescharacteristic
626C8×D71—41no—
627C8×D71—41no—
628C4⋊Dic71—21no—
629C4⋊Dic71—21no—
630C4⋊Dic71C2×D411yescharacteristic
631C4⋊Dic71C2411yescharacteristic
632C4⋊Dic71C2411yescharacteristic
633C4⋊Dic71C2411yescharacteristic
634C4⋊Dic71C2411yescharacteristic
635Dic71⋊C4—21no—
636Dic71⋊C4—21no—
637Dic71⋊C4—21no—
638Dic71⋊C4—21no—
639Dic71⋊C4—21no—
640Dic71⋊C4—21no—
641Dic71⋊C4—21no—
642Dic71⋊C4—21no—
643Dic71⋊C4—21no—
644Dic71⋊C4C2×D411yescharacteristic
645Dic71⋊C4C2×D411yescharacteristic
646C22⋊Dic71—21no—
647C22⋊Dic71—21no—
648C22⋊Dic71—21no—
649C22⋊Dic71—21no—
650C22⋊Dic71C2×D411yescharacteristic
651C22⋊Dic71C2×D411yescharacteristic
652(C2×D71)⋊C4—21no—
653(C2×D71)⋊C4—21no—
654(C2×D71)⋊C4—21no—
655(C2×D71)⋊C4—21no—
656(C2×D71)⋊C4—21no—
657(C2×D71)⋊C4—21no—
658(C2×D71)⋊C4—21no—
659(C2×D71)⋊C4—21no—
660(C2×D71)⋊C4—21no—
661(C2×D71)⋊C4—21no—
662(C2×D71)⋊C4—21no—
663(C2×D71)⋊C4—21no—
664(C2×D71)⋊C4—21no—
665(C2×D71)⋊C4—21no—
666(C2×D71)⋊C4—21no—
667(C2×D71)⋊C4—21no—
668(C2×D71)⋊C4—21no—
669(C2×D71)⋊C4—21no—
670(C2×D71)⋊C4—21no—
671(C2×D71)⋊C4C2×D411yescharacteristic
672(C2×D71)⋊C4C2×D411yescharacteristic
673(C2×D71)⋊C4C2×D411yescharacteristic
674(C2×D71)⋊C4C2×D411yescharacteristic
675C4×Dic71—21no—
676C4×Dic71—21no—
677C4×Dic71—21no—
678C4×Dic71—21no—
679C4×Dic71—21no—
680C4×Dic71—21no—
681C4×Dic71—21no—
682C4×Dic71C2×D411yescharacteristic
683C4×Dic71C2×D411yescharacteristic
684C4×Dic71C2411yescharacteristic
685C24×C71—21no—
686C24×C71—21no—
687C2×Q8×C71C2411yescharacteristic
688C2×D4×C71—22no—
689C2×D4×C71—22no—
690C2×D4×C71—21no—
691C2×D4×C71—21no—
692C2×D4×C71—21no—
693C2×D4×C71—21no—
694C2×D4×C71—21no—
695C2×D4×C71—21no—
696C2×D4×C71—41no—
697C2×D4×C71—41no—
698C2×D4×C71—44no—
699C2×D4×C71C2×D411yescharacteristic
700C2×D4×C71C2411yescharacteristic
701C2×D4×C71C2411yescharacteristic
702C2×D4×C71C2411yescharacteristic
703C22×C4×C71—21no—
704C22×C4×C71—21no—
705C22×C4×C71C2411yescharacteristic
706C22×C4×C71C2411yescharacteristic
707SD16×C71—22no—
708SD16×C71—41no—
709SD16×C71—41no—
710M16×C71—41no—
711C2×C8×C71—41no—
712C2×C8×C71C2411yescharacteristic
713C2×C8×C71C2411yescharacteristic
714C2×C8×C71C2411yescharacteristic
715C2×C8×C71C2411yescharacteristic
716C4⋊C4×C71—21no—
717C4⋊C4×C71—21no—
718C4⋊C4×C71—21no—
719C4⋊C4×C71—21no—
720C4⋊C4×C71—21no—
721C4⋊C4×C71—21no—
722C4⋊C4×C71C2×D411yescharacteristic
723C4⋊C4×C71C2411yescharacteristic
724C4⋊C4×C71C2411yescharacteristic
725C4⋊C4×C71C2411yescharacteristic
726C4⋊C4×C71C2411yescharacteristic
727C22⋊C4×C71—21no—
728C22⋊C4×C71—21no—
729C22⋊C4×C71—21no—
730C22⋊C4×C71—21no—
731C22⋊C4×C71—21no—
732C22⋊C4×C71—21no—
733C22⋊C4×C71C2×D411yescharacteristic
734C22⋊C4×C71C2×D411yescharacteristic
735C42×C71—21no—
736C42×C71—21no—
737C42×C71C2411yescharacteristic
738C23×C71—21no—
739C23×C71—21no—
740C23×C71—21no—
741C23×C71—42no—
742C23×C71—42no—
743C23×C71—42no—
744C23×C71—42no—
745C23×C71—81no—
746C23×C71—81no—
747C23×C71C22×D411yescharacteristic
748C23×C71C22×D411yescharacteristic
749C22×D71—22no—
750C22×D71—21no—
751C22×D71—22no—
752C22×D71—22no—
753C22×D71—24no—
754C22×D71—22no—
755C22×D71—21no—
756C22×D71—21no—
757C22×D71—21no—
758C22×D71—41no—
759C22×D71—41no—
760C22×D71—42no—
761C22×D71—42no—
762C22×D71—42no—
763C22×D71—42no—
764C22×D71—42no—
765C22×D71—42no—
766C22×D71—42no—
767C22×D71—42no—
768C22×D71—42no—
769C22×D71—42no—
770C22×D71—42no—
771C22×D71—42no—
772C22×D71—42no—
773C22×D71—42no—
774C22×D71—42no—
775C22×D71—42no—
776C22×D71—42no—
777C22×D71—42no—
778C22×D71—42no—
779C22×D71—42no—
780C22×D71—81no—
781C22×D71—81no—
782C22×D71—81no—
783C22×D71—81no—
784C22×D71—81no—
785C22×D71—81no—
786C22×D71—816no—
787C22×D71—816no—
788C22×D71C22×D411yescharacteristic
789C22×D71C22×D411yescharacteristic
790C22×D71C22×D411yescharacteristic
791Q8×C71—21no—
792Q8×C71—21no—
793D4×C71—22no—
794D4×C71—21no—
795D4×C71—21no—
796D4×C71—21no—
797D4×C71—21no—
798D4×C71—21no—
799D4×C71—42no—
800D4×C71—42no—
801D4×C71—42no—
802D4×C71—42no—
803D4×C71—42no—
804D4×C71—81no—
805D4×C71C2×#4112yes—
806C2×C4×C71—21no—
807C2×C4×C71—21no—
808C2×C4×C71—21no—
809C2×C4×C71—21no—
810C2×C4×C71—21no—
811C2×C4×C71—21no—
812C2×C4×C71—21no—
813C2×C4×C71—21no—
814C2×C4×C71—21no—
815C2×C4×C71—42no—
816C2×C4×C71—42no—
817C2×C4×C71C22×D411yescharacteristic
818C2×C4×C71C22×D411yescharacteristic
819C2×C4×C71C22×D411yescharacteristic
820C2×C4×C71C22×D411yescharacteristic
821C2×C4×C71C2511yescharacteristic
822C22⋊D71—24no—
823C22⋊D71—22no—
824C22⋊D71—42no—
825C22⋊D71—42no—
826C22⋊D71—42no—
827C22⋊D71—42no—
828C22⋊D71—42no—
829C22⋊D71—42no—
830C22⋊D71—42no—
831C22⋊D71—42no—
832C22⋊D71—42no—
833C22⋊D71—42no—
834C22⋊D71—42no—
835C22⋊D71—42no—
836C22⋊D71—42no—
837C22⋊D71—81no—
838C22⋊D71—81no—
839C22⋊D71—81no—
840C22⋊D71AGL(1,ℤ/8)14yescomplemented
841C2×Dic71—22no—
842C2×Dic71—22no—
843C2×Dic71—21no—
844C2×Dic71—21no—
845C2×Dic71—21no—
846C2×Dic71—21no—
847C2×Dic71—42no—
848C2×Dic71—81no—
849C2×Dic71C22×D411yescharacteristic
850C2×Dic71C22×D411yescharacteristic
851C2×Dic71C22×D411yescharacteristic
852C2×Dic71C22×D411yescharacteristic
853C2×Dic71C22×D411yescharacteristic
854D284—22no—
855D284—21no—
856D284—21no—
857D284—21no—
858D284—21no—
859D284—21no—
860D284—21no—
861D284—21no—
862D284—42no—
863D284—42no—
864D284—42no—
865D284—42no—
866D284—42no—
867D284—42no—
868D284—42no—
869D284—81no—
870D284—81no—
871D284C2×#4112yes—
872C4×D71—22no—
873C4×D71—22no—
874C4×D71—21no—
875C4×D71—21no—
876C4×D71—21no—
877C4×D71—21no—
878C4×D71—22no—
879C4×D71—22no—
880C4×D71—22no—
881C4×D71—41no—
882C4×D71—42no—
883C4×D71—42no—
884C4×D71—42no—
885C4×D71—42no—
886C4×D71—42no—
887C4×D71—42no—
888C4×D71—81no—
889C4×D71—81no—
890C4×D71C2×#4112yes—
891C4×D71H(5,𝔽2)12yes—
892Dic142—42no—
893Dic142—81no—
894C8×C71—21no—
895C8×C71—21no—
896C8×C71—21no—
897C8×C71—21no—
898C71⋊C8—21no—
899C71⋊C8—21no—
900C71⋊C8—21no—
901C71⋊C8—21no—
902C22×C71—21no—
903C22×C71—21no—
904C22×C71—21no—
905C22×C71—21no—
906C22×C71—22no—
907C22×C71—21no—
908C22×C71—41no—
909C22×C71—41no—
910C22×C71—41no—
911C22×C71—41no—
912C22×C71—41no—
913C22×C71—41no—
914C22×C71—41no—
915C22×C71—41no—
916C22×C71—84no—
917C22×C71—84no—
918C22×C71C2×AGL(1,ℤ/8)12yes—
919C22×C71C23×D411yescharacteristic
920C2×D71—21no—
921C2×D71—21no—
922C2×D71—21no—
923C2×D71—21no—
924C2×D71—21no—
925C2×D71—21no—
926C2×D71—22no—
927C2×D71—21no—
928C2×D71—44no—
929C2×D71—44no—
930C2×D71—48no—
931C2×D71—41no—
932C2×D71—41no—
933C2×D71—41no—
934C2×D71—41no—
935C2×D71—41no—
936C2×D71—41no—
937C2×D71—41no—
938C2×D71—41no—
939C2×D71—41no—
940C2×D71—41no—
941C2×D71—41no—
942C2×D71—84no—
943C2×D71—84no—
944C2×D71—84no—
945C2×D71—84no—
946C2×D71—84no—
947C2×D71—84no—
948C2×D71—84no—
949C2×D71—84no—
950C2×D71#54612yes—
951C2×D71C2×AGL(1,ℤ/8)12yes—
952C4×C71—21no—
953C4×C71—21no—
954C4×C71—21no—
955C4×C71—21no—
956C4×C71—41no—
957C4×C71—41no—
958C4×C71—41no—
959C4×C71—41no—
960C4×C71—41no—
961C4×C71C22×#4111yescharacteristic
962C4×C71C2×H(5,𝔽2)11yescharacteristic
963Dic71—21no—
964Dic71—21no—
965Dic71—21no—
966Dic71—41no—
967Dic71—41no—
968Dic71—41no—
969Dic71—41no—
970Dic71#54612yes—
971Dic71C2×AGL(1,ℤ/8)12yes—
972#61155—711nomaximal, Sylow
973C2×C71—22no—
974C2×C71—41no—
975C2×C71—42no—
976C2×C71—81no—
977C2×C71—81no—
978C2×C71C2×#54611yescharacteristic
979C2×C71C22×AGL(1,ℤ/8)11yescharacteristic
980C2×C71#358511yescharacteristic
981D71—22no—
982D71—22no—
983D71—41no—
984D71—42no—
985D71—81no—
986D71—81no—
987D71—81no—
988#3475—711no—
989C2×D42—711no—
990#3325—711no—
991#3325—711no—
992#3324—711no—
993#3324—711no—
994#3318—711no—
995#3318—711no—
996#3318—711no—
997#3318—711no—
998#3310—711no—
999#3310—711no—
1000#3310—711no—
1001#3310D7111yescharacteristic, complemented
1002#3295—711no—
1003#3295—711no—
1004#3294—711no—
1005#3294—711no—
1006#3138—711no—
1007#3094—711no—
1008#3094—711no—
1009#3077—711no—
1010#3055—711no—
1011#3055—711no—
1012#3038—711no—
1013#3003—711no—
1014#3003—711no—
1015C4×AGL(1,ℤ/8)—711no—
1016D4×M16—711no—
1017C2×#418—711no—
1018C2×#418—711no—
1019C71#6115511yescharacteristic, complemented, Sylow
1020C23×D4—711no—
1021C23×D4—711no—
1022C23×D4—1421no—
1023C2×AGL(1,ℤ/8)—711no—
1024C2×AGL(1,ℤ/8)—711no—
1025C2×AGL(1,ℤ/8)—711no—
1026C22×M16—711no—
1027C22×M16—711no—
1028#556—711no—
1029#555—711no—
1030#554—711no—
1031#553—711no—
1032#553—711no—
1033#552—711no—
1034#552—1421no—
1035#552C2×D7111yescharacteristic, complemented
1036#551—1421no—
1037#551—1421no—
1038#547—711no—
1039#546—1421no—
1040D42—711no—
1041D42—711no—
1042D42—711no—
1043D42—711no—
1044D42—711no—
1045D42—711no—
1046D42—711no—
1047D42—1421no—
1048D42—1421no—
1049D42—1421no—
1050D42—1421no—
1051D42C2×D7111yescharacteristic
1052#533—711no—
1053C2×#127—711no—
1054#529—1421no—
1055#529—1421no—
1056#529—1421no—
1057#525—711no—
1058#525—711no—
1059C2×#121—711no—
1060C2×#121—711no—
1061C2×#121—1421no—
1062C2×#120—1421no—
1063C2×#120—1421no—
1064C4×#41—711no—
1065C4×#41—1421no—
1066C2×C4×D4—711no—
1067C2×C4×D4—711no—
1068C2×#117—711no—
1069C2×#117—711no—
1070#490—711no—
1071#490—711no—
1072#490—711no—
1073#490C2×D7111yescharacteristic, complemented
1074#486—711no—
1075#486—711no—
1076#486—711no—
1077#486—711no—
1078#482—711no—
1079#482—711no—
1080#482—711no—
1081#482—711no—
1082#482—711no—
1083#482—711no—
1084#482—711no—
1085#482C2×D7111yescharacteristic, complemented
1086#481—711no—
1087#481—711no—
1088#481—711no—
1089#481—711no—
1090#480—711no—
1091#480—711no—
1092#480—711no—
1093#480C2×D7111yescharacteristic, complemented
1094#478—711no—
1095#478—711no—
1096#478—711no—
1097#478C2×D7111yescharacteristic, complemented
1098#476—711no—
1099#476—711no—
1100#474—711no—
1101#474—711no—
1102#469—711no—
1103#469—711no—
1104#469—711no—
1105#469—711no—
1106#468—711no—
1107#468—711no—
1108#468—711no—
1109#468C2×D7111yescharacteristic, complemented
1110#466—711no—
1111#466—711no—
1112#466—711no—
1113#466—711no—
1114#465—711no—
1115#465—711no—
1116#465—711no—
1117#465C2×D7111yescharacteristic, complemented
1118#460—711no—
1119#460—711no—
1120#460—711no—
1121#460C2×D7111yescharacteristic, complemented
1122#459—711no—
1123#459—711no—
1124#459—711no—
1125#459—711no—
1126#450—711no—
1127#450—711no—
1128#450—711no—
1129#450—711no—
1130#450—711no—
1131#450—711no—
1132#450C2×D7111yescharacteristic, complemented
1133#450C2×D7111yescharacteristic, complemented
1134#447—711no—
1135#447—711no—
1136#447—711no—
1137#447—711no—
1138#447—711no—
1139#447—711no—
1140#447—711no—
1141#447—711no—
1142#442—711no—
1143#442—711no—
1144#440—711no—
1145#440C2×D7111yescharacteristic, complemented
1146C4×SD16—711no—
1147C4×SD16—711no—
1148C4×D8—711no—
1149C4×D8—711no—
1150#436—711no—
1151#436—711no—
1152#435—711no—
1153#435—711no—
1154#435—711no—
1155#435C2×D7111yescharacteristic, complemented
1156C8×D4—711no—
1157C8×D4—711no—
1158#428—711no—
1159#428—711no—
1160#428—711no—
1161#423—711no—
1162#418—711no—
1163#418—711no—
1164#418—711no—
1165#418—711no—
1166#418—711no—
1167#418—711no—
1168#418—711no—
1169#418—711no—
1170#418—711no—
1171#418—711no—
1172#418—711no—
1173#418—711no—
1174#418—711no—
1175#418—711no—
1176#418—711no—
1177#418—711no—
1178#418C2×D7111yescharacteristic, complemented
1179#417—711no—
1180C2×#102—711no—
1181C2×#102—711no—
1182C2×#102—711no—
1183C2×#102—711no—
1184C2×#102—711no—
1185C2×#102—711no—
1186C2×#102—711no—
1187C2×#102C2×D7111yescharacteristic, complemented
1188#407—711no—
1189#407—711no—
1190C4×M16—711no—
1191C25—1421no—
1192C25—1421no—
1193C2×#41—711no—
1194C2×#41—1421no—
1195C22×D4—21no—
1196C22×D4—2848no—
1197C22×D4—2842no—
1198C22×D4—2842no—
1199C22×D4—711no—
1200C22×D4—711no—
1201C22×D4—711no—
1202C22×D4—711no—
1203C22×D4—711no—
1204C22×D4—711no—
1205C22×D4—711no—
1206C22×D4—711no—
1207C22×D4—711no—
1208C22×D4—711no—
1209C22×D4—1421no—
1210C22×D4—1421no—
1211C22×D4—1421no—
1212C22×D4—1421no—
1213C22×D4—1421no—
1214C22×D4—1421no—
1215C22×D4—1421no—
1216C22×D4—1421no—
1217C22×D4—1421no—
1218C22×D4—1421no—
1219C22×D4—1421no—
1220C22×D4—1421no—
1221C22×D4—1421no—
1222C22×D4—1421no—
1223C22×D4—1424no—
1224C22×D4—1424no—
1225C22×D4—1421no—
1226C22×D4—1421no—
1227C22×D4—1421no—
1228C22×D4C22×D7111yescharacteristic
1229C22×D4C22×D7111yescharacteristic
1230C23×C4—711no—
1231C23×C4—711no—
1232C23×C4—1421no—
1233AGL(1,ℤ/8)—2842no—
1234AGL(1,ℤ/8)—2842no—
1235AGL(1,ℤ/8)—1424no—
1236C2×SD16—711no—
1237C2×SD16—711no—
1238C2×SD16—711no—
1239C2×SD16C22×D7111yescharacteristic
1240C2×SD16C22×D7111yescharacteristic, complemented
1241C2×SD16C22×D7111yescharacteristic, complemented
1242C2×D8—711no—
1243C2×D8—711no—
1244C2×D8—711no—
1245C2×D8—711no—
1246C2×D8—711no—
1247C2×D8—711no—
1248C2×M16—2842no—
1249C2×M16—2842no—
1250C2×M16—711no—
1251C2×M16—711no—
1252C2×M16—711no—
1253C2×M16—711no—
1254C2×M16—711no—
1255C2×M16—711no—
1256C2×M16—711no—
1257C2×M16C22×D7111yescharacteristic, complemented
1258C22×C8—711no—
1259C22×C8—711no—
1260C22×C8—711no—
1261C22×C8C22×D7111yescharacteristic, complemented
1262C4⋊Q8—711no—
1263C4⋊Q8—711no—
1264#127—711no—
1265#127—711no—
1266#127—711no—
1267#127—1421no—
1268#127—1421no—
1269#127C22×D7111yescharacteristic
1270#126—21no—
1271#126—1421no—
1272#126—1421no—
1273#126—1421no—
1274#126—1421no—
1275#126—1421no—
1276#125—21no—
1277#125—711no—
1278#125—1421no—
1279#125—1421no—
1280#125C22×D7111yescharacteristic, complemented
1281#124—1421no—
1282#124—1421no—
1283#124—1421no—
1284#123—21no—
1285#123—1421no—
1286#123—1421no—
1287#123—1421no—
1288#123—1421no—
1289#123—1421no—
1290#123—1421no—
1291#123—1421no—
1292C22⋊Q8—711no—
1293C22⋊Q8—711no—
1294C22⋊Q8—1421no—
1295C22⋊Q8—1421no—
1296C22⋊Q8—1421no—
1297C22⋊Q8—1421no—
1298C22⋊Q8—1421no—
1299C22⋊Q8C22×D7111yescharacteristic, complemented
1300C22⋊Q8C22×D7111yescharacteristic, complemented
1301#121—21no—
1302#121—711no—
1303#121—711no—
1304#121—711no—
1305#121—711no—
1306#121—711no—
1307#121—711no—
1308#121—711no—
1309#121—711no—
1310#121—711no—
1311#121—711no—
1312#121—1421no—
1313#121—1421no—
1314#121—1421no—
1315#121—1421no—
1316#121—1421no—
1317#121—1421no—
1318#121—1421no—
1319#121—1421no—
1320#121—1421no—
1321#121—1421no—
1322#121—1421no—
1323#121—1421no—
1324#121—1421no—
1325#121—1421no—
1326#121C22×D7111yescharacteristic
1327#121C22×D7111yescharacteristic
1328#120—21no—
1329#120—21no—
1330#120—1421no—
1331#120—1421no—
1332#120—1421no—
1333#120—1421no—
1334#120—1421no—
1335#120—1421no—
1336#120—1421no—
1337#120—1421no—
1338#120—1421no—
1339#120—1421no—
1340#120—1421no—
1341#120—1421no—
1342#120—1421no—
1343#120—1421no—
1344#120—1421no—
1345#120—1421no—
1346C4×Q8—711no—
1347C4×Q8—1421no—
1348C4×Q8—1421no—
1349C4×Q8—1421no—
1350C4×Q8C22×D7111yescharacteristic, complemented
1351C4×D4—711no—
1352C4×D4—711no—
1353C4×D4—711no—
1354C4×D4—711no—
1355C4×D4—711no—
1356C4×D4—711no—
1357C4×D4—711no—
1358C4×D4—711no—
1359C4×D4—711no—
1360C4×D4—711no—
1361C4×D4—711no—
1362C4×D4—711no—
1363C4×D4—1421no—
1364C4×D4—1421no—
1365C4×D4—1421no—
1366C4×D4—1421no—
1367C4×D4—1421no—
1368C4×D4—1421no—
1369C4×D4—1421no—
1370C4×D4—1421no—
1371C4×D4—1421no—
1372C4×D4—1421no—
1373C4×D4—1421no—
1374C4×D4C22×D7111yescharacteristic
1375C4×D4C22×D7111yescharacteristic
1376#117—21no—
1377#117—711no—
1378#117—711no—
1379#117—711no—
1380#117—711no—
1381#117—711no—
1382#117—711no—
1383#117—1421no—
1384#117—1421no—
1385#117—1421no—
1386#117—1421no—
1387#117—1421no—
1388#117—1421no—
1389#117—1421no—
1390#117C22×D7111yescharacteristic, complemented
1391C2×C4⋊C4—711no—
1392C2×C4⋊C4—711no—
1393C2×C4⋊C4—711no—
1394C2×C4⋊C4—711no—
1395C2×C4⋊C4—711no—
1396C2×C4⋊C4C22×D7111yescharacteristic, complemented
1397C2×C22⋊C4—711no—
1398C2×C22⋊C4—711no—
1399C2×C22⋊C4—1421no—
1400C2×C22⋊C4—1421no—
1401C2×C22⋊C4—1421no—
1402C2×C22⋊C4—1421no—
1403C2×C22⋊C4—1421no—
1404C2×C42—711no—
1405C2×C42—1421no—
1406C2×C42—1421no—
1407C2×C42—1421no—
1408#107—711no—
1409#107—711no—
1410#107—711no—
1411#107—711no—
1412#107C22×D7111yescharacteristic, complemented
1413#107C22×D7111yescharacteristic, complemented
1414#106—711no—
1415#106—711no—
1416#106—711no—
1417#106—711no—
1418#106—711no—
1419#106C22×D7111yescharacteristic, complemented
1420C4⋊C8—711no—
1421C4⋊C8—711no—
1422C4⋊C8—711no—
1423C4⋊C8C22×D7111yescharacteristic, complemented
1424#103—711no—
1425#103C22×D7111yescharacteristic, complemented
1426#102—711no—
1427#102—711no—
1428#102—711no—
1429#102—711no—
1430#102—711no—
1431#102—711no—
1432#102—711no—
1433#102—711no—
1434#102—711no—
1435#102—711no—
1436#102—711no—
1437#102—711no—
1438#102—711no—
1439#102—711no—
1440#102—711no—
1441#102—711no—
1442#102—711no—
1443#102—711no—
1444#102—711no—
1445#102—711no—
1446#102—711no—
1447#102—711no—
1448#102—711no—
1449#102—711no—
1450#102—711no—
1451#102—711no—
1452#102—711no—
1453#102—711no—
1454#102—711no—
1455#102C22×D7111yescharacteristic
1456#102C22×D7111yescharacteristic
1457#102C22×D7111yescharacteristic
1458#102C22×D7111yescharacteristic, complemented
1459#102C22×D7111yescharacteristic, complemented
1460#102C22×D7111yescharacteristic, complemented
1461#102C22×D7111yescharacteristic, complemented
1462#102C22×D7111yescharacteristic, complemented
1463#102C22×D7111yescharacteristic, complemented
1464C22⋊C8—711no—
1465C22⋊C8—711no—
1466C22⋊C8—711no—
1467C22⋊C8—711no—
1468C22⋊C8—711no—
1469C22⋊C8—711no—
1470C22⋊C8C22×D7111yescharacteristic, complemented
1471C22⋊C8C22×D7111yescharacteristic, complemented
1472#97—711no—
1473#97C22×D7111yescharacteristic, complemented
1474C4×C8—711no—
1475C4×C8—711no—
1476C24—21no—
1477C24—21no—
1478C24—2844no—
1479C24—2844no—
1480C24—2844no—
1481C24—2844no—
1482C24—5682no—
1483C24—5682no—
1484C24—711no—
1485C24—711no—
1486C24—1421no—
1487C24—1421no—
1488C24—1421no—
1489C24—1421no—
1490C24—1421no—
1491C24—1421no—
1492C24—1421no—
1493C24—1421no—
1494C24—1421no—
1495#41—2844no—
1496#41—1422no—
1497#41—1422no—
1498C2×Q8—1421no—
1499C2×Q8—1421no—
1500C2×Q8C23×D7111yescharacteristic
1501C2×D4—22no—
1502C2×D4—22no—
1503C2×D4—21no—
1504C2×D4—21no—
1505C2×D4—21no—
1506C2×D4—21no—
1507C2×D4—21no—
1508C2×D4—21no—
1509C2×D4—41no—
1510C2×D4—41no—
1511C2×D4—44no—
1512C2×D4—2841no—
1513C2×D4—2841no—
1514C2×D4—2844no—
1515C2×D4—2844no—
1516C2×D4—2844no—
1517C2×D4—2844no—
1518C2×D4—2844no—
1519C2×D4—2844no—
1520C2×D4—2844no—
1521C2×D4—2844no—
1522C2×D4—2844no—
1523C2×D4—2841no—
1524C2×D4—2841no—
1525C2×D4—2841no—
1526C2×D4—2841no—
1527C2×D4—2844no—
1528C2×D4—2844no—
1529C2×D4—2844no—
1530C2×D4—2844no—
1531C2×D4—2844no—
1532C2×D4—2844no—
1533C2×D4—2844no—
1534C2×D4—5682no—
1535C2×D4—711no—
1536C2×D4—714no—
1537C2×D4—711no—
1538C2×D4—711no—
1539C2×D4—711no—
1540C2×D4—711no—
1541C2×D4—711no—
1542C2×D4—711no—
1543C2×D4—1421no—
1544C2×D4—1421no—
1545C2×D4—1421no—
1546C2×D4—1421no—
1547C2×D4—1422no—
1548C2×D4—1422no—
1549C2×D4—1421no—
1550C2×D4—1422no—
1551C2×D4—1422no—
1552C2×D4—1422no—
1553C2×D4—1422no—
1554C2×D4—1422no—
1555C2×D4—1421no—
1556C2×D4—1421no—
1557C2×D4—1421no—
1558C2×D4—1421no—
1559C2×D4—1421no—
1560C2×D4—1421no—
1561C2×D4—1421no—
1562C2×D4—1421no—
1563C2×D4—1421no—
1564C2×D4—1421no—
1565C2×D4—1421no—
1566C2×D4—1422no—
1567C2×D4—1422no—
1568C2×D4—1424no—
1569C2×D4—1421no—
1570C2×D4—1421no—
1571C2×D4—1421no—
1572C2×D4—1421no—
1573C2×D4—1421no—
1574C2×D4—1422no—
1575C2×D4—1422no—
1576C2×D4—1421no—
1577C2×D4—1421no—
1578C2×D4—1421no—
1579C2×D4—1421no—
1580C2×D4—1421no—
1581C2×D4D4×D7111yescharacteristic
1582C2×D4C23×D7111yescharacteristic
1583C2×D4C23×D7111yescharacteristic
1584C2×D4C23×D7111yescharacteristic
1585C22×C4—21no—
1586C22×C4—21no—
1587C22×C4—2844no—
1588C22×C4—711no—
1589C22×C4—711no—
1590C22×C4—711no—
1591C22×C4—711no—
1592C22×C4—711no—
1593C22×C4—711no—
1594C22×C4—711no—
1595C22×C4—711no—
1596C22×C4—711no—
1597C22×C4—711no—
1598C22×C4—711no—
1599C22×C4—1421no—
1600C22×C4—1421no—
1601C22×C4—1421no—
1602C22×C4—1421no—
1603C22×C4—1421no—
1604C22×C4—1421no—
1605C22×C4—1422no—
1606C22×C4—1422no—
1607C22×C4—1422no—
1608C22×C4—1422no—
1609C22×C4—1421no—
1610C22×C4—1421no—
1611C22×C4—1421no—
1612C22×C4—1421no—
1613C22×C4C23×D7111yescharacteristic
1614C22×C4C23×D7111yescharacteristic
1615SD16—22no—
1616SD16—41no—
1617SD16—41no—
1618SD16—2841no—
1619SD16—2841no—
1620SD16—1422no—
1621D8—2841no—
1622D8—2841no—
1623D8—2841no—
1624D8—2841no—
1625D8—1422no—
1626D8—1422no—
1627M16—41no—
1628M16—2841no—
1629M16—2841no—
1630M16—2841no—
1631M16—1422no—
1632M16—1422no—
1633M16—1422no—
1634M16—1422no—
1635C2×C8—41no—
1636C2×C8—2841no—
1637C2×C8—2841no—
1638C2×C8—2841no—
1639C2×C8—711no—
1640C2×C8—711no—
1641C2×C8—711no—
1642C2×C8—711no—
1643C2×C8C23×D7111yescharacteristic
1644C2×C8C23×D7111yescharacteristic
1645C2×C8C23×D7111yescharacteristic
1646C2×C8C23×D7111yescharacteristic
1647C4⋊C4—21no—
1648C4⋊C4—21no—
1649C4⋊C4—21no—
1650C4⋊C4—21no—
1651C4⋊C4—21no—
1652C4⋊C4—21no—
1653C4⋊C4—711no—
1654C4⋊C4—711no—
1655C4⋊C4—711no—
1656C4⋊C4—711no—
1657C4⋊C4—711no—
1658C4⋊C4—711no—
1659C4⋊C4—711no—
1660C4⋊C4—1421no—
1661C4⋊C4—1421no—
1662C4⋊C4—1421no—
1663C4⋊C4—1421no—
1664C4⋊C4—1421no—
1665C4⋊C4—1421no—
1666C4⋊C4—1421no—
1667C4⋊C4—1421no—
1668C4⋊C4—1421no—
1669C4⋊C4—1421no—
1670C4⋊C4—1421no—
1671C4⋊C4D4×D7111yescharacteristic
1672C4⋊C4C23×D7111yescharacteristic
1673C4⋊C4C23×D7111yescharacteristic
1674C4⋊C4C23×D7111yescharacteristic
1675C4⋊C4C23×D7111yescharacteristic
1676C22⋊C4—21no—
1677C22⋊C4—21no—
1678C22⋊C4—21no—
1679C22⋊C4—21no—
1680C22⋊C4—21no—
1681C22⋊C4—21no—
1682C22⋊C4—711no—
1683C22⋊C4—711no—
1684C22⋊C4—711no—
1685C22⋊C4—711no—
1686C22⋊C4—711no—
1687C22⋊C4—711no—
1688C22⋊C4—1421no—
1689C22⋊C4—1421no—
1690C22⋊C4—1421no—
1691C22⋊C4—1421no—
1692C22⋊C4—1421no—
1693C22⋊C4—1421no—
1694C22⋊C4—1421no—
1695C22⋊C4—1421no—
1696C22⋊C4—1421no—
1697C22⋊C4—1421no—
1698C22⋊C4—1421no—
1699C22⋊C4—1421no—
1700C22⋊C4—1421no—
1701C22⋊C4—1421no—
1702C22⋊C4—1421no—
1703C22⋊C4—1421no—
1704C22⋊C4—1421no—
1705C22⋊C4—1421no—
1706C22⋊C4—1421no—
1707C22⋊C4—1421no—
1708C22⋊C4—1421no—
1709C22⋊C4—1421no—
1710C22⋊C4—1421no—
1711C22⋊C4D4×D7111yescharacteristic
1712C22⋊C4D4×D7111yescharacteristic
1713C42—21no—
1714C42—21no—
1715C42—711no—
1716C42—711no—
1717C42—711no—
1718C42—1421no—
1719C42—1421no—
1720C42—1421no—
1721C42—1421no—
1722C42—1421no—
1723C42—1421no—
1724C42—1421no—
1725C42C23×D7111yescharacteristic
1726C23—21no—
1727C23—21no—
1728C23—21no—
1729C23—42no—
1730C23—42no—
1731C23—42no—
1732C23—42no—
1733C23—81no—
1734C23—81no—
1735C23—2841no—
1736C23—2841no—
1737C23—2842no—
1738C23—2842no—
1739C23—2842no—
1740C23—2842no—
1741C23—2842no—
1742C23—2842no—
1743C23—2842no—
1744C23—2842no—
1745C23—2842no—
1746C23—2842no—
1747C23—2842no—
1748C23—2842no—
1749C23—2842no—
1750C23—2842no—
1751C23—2842no—
1752C23—2842no—
1753C23—2842no—
1754C23—2842no—
1755C23—2842no—
1756C23—2842no—
1757C23—5681no—
1758C23—5681no—
1759C23—5681no—
1760C23—5681no—
1761C23—5681no—
1762C23—5681no—
1763C23—56816no—
1764C23—56816no—
1765C23—711no—
1766C23—711no—
1767C23—711no—
1768C23—1422no—
1769C23—1422no—
1770C23—1424no—
1771C23—1422no—
1772C23—1421no—
1773C23—1421no—
1774C23—1421no—
1775C23—1421no—
1776C23—1422no—
1777C23C2×D4×D7111yescharacteristic
1778C23C2×D4×D7111yescharacteristic
1779Q8—21no—
1780Q8—21no—
1781Q8—2842no—
1782Q8—5681no—
1783D4—22no—
1784D4—21no—
1785D4—21no—
1786D4—21no—
1787D4—21no—
1788D4—21no—
1789D4—42no—
1790D4—42no—
1791D4—42no—
1792D4—42no—
1793D4—42no—
1794D4—81no—
1795D4—2842no—
1796D4—2842no—
1797D4—2842no—
1798D4—2842no—
1799D4—2842no—
1800D4—2842no—
1801D4—2842no—
1802D4—2842no—
1803D4—2842no—
1804D4—2842no—
1805D4—2842no—
1806D4—2842no—
1807D4—2842no—
1808D4—2842no—
1809D4—2842no—
1810D4—2842no—
1811D4—2842no—
1812D4—2842no—
1813D4—2842no—
1814D4—2842no—
1815D4—5681no—
1816D4—5681no—
1817D4—5681no—
1818D4—5681no—
1819D4—5681no—
1820D4—714no—
1821D4—712no—
1822D4—1422no—
1823D4—1424no—
1824D4—1422no—
1825D4—1421no—
1826D4—1421no—
1827D4—1421no—
1828D4—1421no—
1829D4—1421no—
1830D4—1421no—
1831D4—1421no—
1832D4#41×D7112yes—
1833C2×C4—21no—
1834C2×C4—21no—
1835C2×C4—21no—
1836C2×C4—21no—
1837C2×C4—21no—
1838C2×C4—21no—
1839C2×C4—21no—
1840C2×C4—21no—
1841C2×C4—21no—
1842C2×C4—42no—
1843C2×C4—42no—
1844C2×C4—2842no—
1845C2×C4—2841no—
1846C2×C4—2842no—
1847C2×C4—2842no—
1848C2×C4—2842no—
1849C2×C4—2842no—
1850C2×C4—2842no—
1851C2×C4—2842no—
1852C2×C4—5681no—
1853C2×C4—5681no—
1854C2×C4—5681no—
1855C2×C4—711no—
1856C2×C4—711no—
1857C2×C4—712no—
1858C2×C4—712no—
1859C2×C4—711no—
1860C2×C4—711no—
1861C2×C4—711no—
1862C2×C4—1422no—
1863C2×C4—1422no—
1864C2×C4—1422no—
1865C2×C4—1422no—
1866C2×C4—1422no—
1867C2×C4—1421no—
1868C2×C4—1421no—
1869C2×C4—1421no—
1870C2×C4—1421no—
1871C2×C4—1422no—
1872C2×C4—1422no—
1873C2×C4—1421no—
1874C2×C4—1421no—
1875C2×C4—1421no—
1876C2×C4—1421no—
1877C2×C4C2×D4×D7111yescharacteristic
1878C2×C4C2×D4×D7111yescharacteristic
1879C2×C4C2×D4×D7111yescharacteristic
1880C2×C4C2×D4×D7111yescharacteristic
1881C2×C4C24×D7111yescharacteristic
1882C8—21no—
1883C8—21no—
1884C8—21no—
1885C8—21no—
1886C8—1421no—
1887C8—1421no—
1888C8—1421no—
1889C8—1421no—
1890C22—21no—
1891C22—21no—
1892C22—21no—
1893C22—22no—
1894C22—21no—
1895C22—21no—
1896C22—41no—
1897C22—41no—
1898C22—41no—
1899C22—41no—
1900C22—41no—
1901C22—41no—
1902C22—41no—
1903C22—41no—
1904C22—84no—
1905C22—84no—
1906C22—2844no—
1907C22—2848no—
1908C22—2844no—
1909C22—2841no—
1910C22—2841no—
1911C22—2841no—
1912C22—2841no—
1913C22—2841no—
1914C22—2841no—
1915C22—2841no—
1916C22—2841no—
1917C22—2841no—
1918C22—2841no—
1919C22—2841no—
1920C22—5684no—
1921C22—5684no—
1922C22—5684no—
1923C22—5684no—
1924C22—5684no—
1925C22—5684no—
1926C22—5684no—
1927C22—5684no—
1928C22—712no—
1929C22—712no—
1930C22—1421no—
1931C22—1422no—
1932C22—1421no—
1933C22—1421no—
1934C22—1421no—
1935C22—1421no—
1936C22—1421no—
1937C22—1421no—
1938C22AGL(1,ℤ/8)×D7112yes—
1939C22C22×D4×D7111yescharacteristic
1940C4—21no—
1941C4—21no—
1942C4—21no—
1943C4—21no—
1944C4—41no—
1945C4—41no—
1946C4—41no—
1947C4—41no—
1948C4—41no—
1949C4—2841no—
1950C4—2841no—
1951C4—2841no—
1952C4—2841no—
1953C4—712no—
1954C4—712no—
1955C4—1421no—
1956C4—1421no—
1957C4—1421no—
1958C4C2×#41×D7111yescharacteristic
1959C4H(5,𝔽2)×D7111yescharacteristic
1960C2—22no—
1961C2—41no—
1962C2—42no—
1963C2—81no—
1964C2—81no—
1965C2—2842no—
1966C2—2841no—
1967C2—5681no—
1968C2—5681no—
1969C2—5681no—
1970C2—1422no—
1971C2—1422no—
1972C2#546×D7111yescharacteristic
1973C2C2×AGL(1,ℤ/8)×D7111yescharacteristic
1974C2#2260311811yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3310C2
socleC22×C71C23×D4
hypercenter#3310D71
hypocenterC71#61155
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #22601893C2semidirect
2. D42×D71C2semidirect
3. #22600580C2semidirect
4. #22600578C2semidirect
5. #22600566C2semidirect
6. #22600564C2semidirect
7. #22600483C2semidirect
8. #22600481C2semidirect
9. #22600480C2semidirect
10. #22600478C2semidirect
11. #22600368C2semidirect
12. #22600366C2semidirect
13. #22600355C2semidirect
14. #22600159C2semidirect
15. #22600157C2semidirect
16. #22600151C2semidirect
17. #22600149C2semidirect
18. #22598713C2semidirect
19. #22598279C2semidirect
20. #22598275C2semidirect
21. #22598135C2semidirect
22. #22597954C2semidirect
23. #22597952C2semidirect
24. #22597817C2semidirect
25. #22597568C2semidirect
26. #22597568C2semidirect
27. #22597145C2semidirect
28. #22597073C2semidirect
29. C2×#17986002C2semidirect
30. #418×D71C2semidirect
31. C71×#3310C2semidirect
36. C2×#14556155C22semidirect
37. C2×#14556155C22semidirect
38. C22×#11765848C22semidirect
39. C2×M16×D71C22semidirect
40. #17986720C22semidirect
41. #17986712C22semidirect
42. #17986707C22semidirect
43. #17986702C22semidirect
44. #17986695C22semidirect
45. #17986690C22semidirect
49. #17986650C22semidirect
62. #17986555C22semidirect
67. #17986512C22semidirect
68. #17986512C22semidirect
74. C4×#11765866C22semidirect
78. C2×#14556086C22semidirect
79. #117×D71C22semidirect
80. #17986365C22semidirect
81. #17986364C22semidirect
82. #17986363C22semidirect
83. #17986344C22semidirect
84. #17986344C22semidirect
85. #17986344C22semidirect
86. #17986344C22semidirect
87. #17986326C22semidirect
88. #17986326C22semidirect
89. #17986324C22semidirect
90. #17986323C22semidirect
91. #17986322C22semidirect
92. #17986322C22semidirect
93. #17986320C22semidirect
94. #17986319C22semidirect
95. #17986318C22semidirect
96. #17986316C22semidirect
97. #17986315C22semidirect
98. #17986314C22semidirect
99. #17986312C22semidirect
100. #17986311C22semidirect
101. #17986300C22semidirect
102. #17986299C22semidirect
103. #17986296C22semidirect
104. #17986288C22semidirect
105. #17986287C22semidirect
106. #17986278C22semidirect
107. #17986277C22semidirect
108. #17986253C22semidirect
109. #17986252C22semidirect
110. #17986251C22semidirect
111. #17986250C22semidirect
112. #17986248C22semidirect
113. #17986247C22semidirect
114. #17986242C22semidirect
115. #17986236C22semidirect
116. #17986235C22semidirect
117. #17986234C22semidirect
118. #17986233C22semidirect
119. #17986231C22semidirect
120. #17986230C22semidirect
121. #17986225C22semidirect
122. #17986199C22semidirect
123. #17986197C22semidirect
124. #17986197C22semidirect
125. #17986195C22semidirect
126. #17986193C22semidirect
127. #17986193C22semidirect
128. #17986191C22semidirect
129. #17986149C22semidirect
130. #17986149C22semidirect
131. #17986148C22semidirect
132. #17986148C22semidirect
133. #17986148C22semidirect
134. #17986148C22semidirect
135. #17986135C22semidirect
136. #17986135C22semidirect
137. #17986134C22semidirect
138. #17986134C22semidirect
139. #17986134C22semidirect
140. #17986134C22semidirect
141. #17986133C22semidirect
142. #17986133C22semidirect
143. #17986112C22semidirect
144. #17986109C22semidirect
145. #17986097C22semidirect
146. SD16×Dic71C22semidirect
147. #17986084C22semidirect
148. #17986081C22semidirect
149. #17986079C22semidirect
150. #17986075C22semidirect
151. #17986074C22semidirect
152. #17986072C22semidirect
153. #17986071C22semidirect
154. #17986069C22semidirect
155. C8×C22⋊D71C22semidirect
156. (C22⋊D71)⋊C8C22semidirect
157. #17986040C22semidirect
158. #17986040C22semidirect
159. #17986038C22semidirect
160. #17986021C22semidirect
161. #17986005C22semidirect
162. #17986004C22semidirect
163. #17986003C22semidirect
167. #17986002C22semidirect
168. #17986002C22semidirect
169. #17986002C22semidirect
170. #17986002C22semidirect
171. #17986002C22semidirect
172. #17986002C22semidirect
173. #17986002C22semidirect
174. #17986002C22semidirect
175. #17986002C22semidirect
176. #17986002C22semidirect
177. #17985999C22semidirect
178. C2×#14556050C22semidirect
179. C2×#14556049C22semidirect
180. C2×#14556048C22semidirect
181. #102×D71C22semidirect
182. #102×D71C22semidirect
183. #102×D71C22semidirect
184. #102×D71C22semidirect
185. #17985961C22semidirect
186. #17985961C22semidirect
187. #17985951C22semidirect
188. #552×C71C22semidirect
190. #490×C71C22semidirect
191. #482×C71C22semidirect
192. #480×C71C22semidirect
193. #478×C71C22semidirect
194. #468×C71C22semidirect
195. #465×C71C22semidirect
196. #460×C71C22semidirect
197. #450×C71C22semidirect
198. #450×C71C22semidirect
199. #440×C71C22semidirect
200. #435×C71C22semidirect
201. #418×C71C22semidirect
202. C2×#102×C71C22semidirect
246. C2×#11765852C23semidirect
247. C2×#11765852C23semidirect
249. C2×D568C23semidirect
250. C2×D568C23semidirect
252. C2×#11765850C23semidirect
253. C2×#11765850C23semidirect
254. C2×#11765849C23semidirect
260. C2×#11765848C23semidirect
261. C2×#11765848C23semidirect
263. C22×C71⋊C8C23semidirect
264. C2×C8×D71C23semidirect
265. C2×C8×D71C23semidirect
266. #14556127C23semidirect
267. #14556127C23semidirect
278. #14556120C23semidirect
296. #14556104C23semidirect
297. #14556104C23semidirect
302. #14556103C23semidirect
303. #14556103C23semidirect
307. #14556102C23semidirect
308. #14556102C23semidirect
338. Q8×Dic71C23semidirect
345. C4×D284C23semidirect
354. #14556090C23semidirect
365. #14556087C23semidirect
372. #14556086C23semidirect
373. #14556086C23semidirect
378. C2×C4⋊Dic71C23semidirect
381. C4⋊C4×D71C23semidirect
382. C4⋊C4×D71C23semidirect
394. #14556062C23semidirect
395. #14556061C23semidirect
396. #14556061C23semidirect
397. #14556061C23semidirect
398. #14556060C23semidirect
399. #14556060C23semidirect
400. #14556059C23semidirect
401. #14556059C23semidirect
402. #14556059C23semidirect
403. C4⋊(C71⋊C8)C23semidirect
404. Dic71⋊C8C23semidirect
405. Dic71⋊C8C23semidirect
406. #14556052C23semidirect
410. #14556050C23semidirect
411. #14556050C23semidirect
412. #14556050C23semidirect
413. #14556050C23semidirect
414. #14556050C23semidirect
415. #14556050C23semidirect
416. #14556050C23semidirect
420. #14556049C23semidirect
421. #14556049C23semidirect
422. #14556049C23semidirect
423. #14556049C23semidirect
424. #14556049C23semidirect
425. #14556049C23semidirect
429. #14556048C23semidirect
430. #14556048C23semidirect
431. #14556048C23semidirect
432. #14556048C23semidirect
433. #14556048C23semidirect
434. #14556048C23semidirect
435. #14556048C23semidirect
436. C22⋊(C71⋊C8)C23semidirect
437. C22⋊(C71⋊C8)C23semidirect
438. (C2×D71)⋊C8C23semidirect
439. (C2×D71)⋊C8C23semidirect
440. (C2×D71)⋊C8C23semidirect
441. (C2×D71)⋊C8C23semidirect
442. #14556039C23semidirect
443. C8×Dic71C23semidirect
444. C8×Dic71C23semidirect
449. C2×SD16×C71C23semidirect
450. C2×SD16×C71C23semidirect
451. C2×M16×C71C23semidirect
452. C22×C8×C71C23semidirect
456. #125×C71C23semidirect
458. C22⋊Q8×C71C23semidirect
459. C22⋊Q8×C71C23semidirect
465. C4×Q8×C71C23semidirect
469. #117×C71C23semidirect
470. C2×C4⋊C4×C71C23semidirect
471. #107×C71C23semidirect
472. #107×C71C23semidirect
473. #106×C71C23semidirect
474. C4⋊C8×C71C23semidirect
475. #103×C71C23semidirect
479. #102×C71C23semidirect
480. #102×C71C23semidirect
481. #102×C71C23semidirect
482. #102×C71C23semidirect
483. #102×C71C23semidirect
484. #102×C71C23semidirect
485. C22⋊C8×C71C23semidirect
486. C22⋊C8×C71C23semidirect
487. #97×C71C23semidirect
578. D4×D71#41semidirect
840. C22⋊D71AGL(1,ℤ/8)semidirect
1001. #3310D71semidirect
1019. C71#61155semidirect
1035. #552C2×D71semidirect
1073. #490C2×D71semidirect
1085. #482C2×D71semidirect
1093. #480C2×D71semidirect
1097. #478C2×D71semidirect
1109. #468C2×D71semidirect
1117. #465C2×D71semidirect
1121. #460C2×D71semidirect
1132. #450C2×D71semidirect
1133. #450C2×D71semidirect
1145. #440C2×D71semidirect
1155. #435C2×D71semidirect
1178. #418C2×D71semidirect
1187. C2×#102C2×D71semidirect
1240. C2×SD16C22×D71semidirect
1241. C2×SD16C22×D71semidirect
1257. C2×M16C22×D71semidirect
1261. C22×C8C22×D71semidirect
1280. #125C22×D71semidirect
1299. C22⋊Q8C22×D71semidirect
1300. C22⋊Q8C22×D71semidirect
1350. C4×Q8C22×D71semidirect
1390. #117C22×D71semidirect
1396. C2×C4⋊C4C22×D71semidirect
1412. #107C22×D71semidirect
1413. #107C22×D71semidirect
1419. #106C22×D71semidirect
1423. C4⋊C8C22×D71semidirect
1425. #103C22×D71semidirect
1458. #102C22×D71semidirect
1459. #102C22×D71semidirect
1460. #102C22×D71semidirect
1461. #102C22×D71semidirect
1462. #102C22×D71semidirect
1463. #102C22×D71semidirect
1470. C22⋊C8C22×D71semidirect
1471. C22⋊C8C22×D71semidirect
1473. #97C22×D71semidirect

Maximal subgroups

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

subgroupindex
#226018932
D42×D712
#226005802
#226005782
#226005662
#226005642
#226004832
#226004812
#226004802
#226004782
#226003682
#226003662
#226003552
#226001592
#226001572
#226001512
#226001492
#225987132
#225982792
#225982752
#225981352
#225979542
#225979522
#225978172
#225975682
#225971452
#225970732
C2×#179860022
#418×D712
C71×#33102
#6115571