Finite Group Databasebeta

← #32874459

Subgroups — #32874459

Order 18176.

2254 conjugacy classes of subgroups.

The subgroup lattice has 1880 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22601906C211yesmaximal, characteristic, complemented
2#546×D71C211yesmaximal, characteristic, complemented
3#22600551C211yesmaximal, characteristic, complemented
4#22600549C211yesmaximal, characteristic, complemented
5#22600544C211yesmaximal, characteristic, complemented
6#22600542C211yesmaximal, characteristic, complemented
7#22600495C211yesmaximal, characteristic, complemented
8#22600493C211yesmaximal, characteristic, complemented
9#22600415C211yesmaximal, characteristic, complemented
10#22600383C211yesmaximal, characteristic, complemented
11#22600381C211yesmaximal, characteristic, complemented
12#22600303C211yesmaximal, characteristic, complemented
13#22600301C211yesmaximal, characteristic, complemented
14#22600188C211yesmaximal, characteristic, complemented
15#22600186C211yesmaximal, characteristic, complemented
16#22600181C211yesmaximal, characteristic, complemented
17#22600179C211yesmaximal, characteristic, complemented
18#22598725C211yesmaximal, characteristic, complemented
19#22598285C211yesmaximal, characteristic, complemented
20#22598275C211yesmaximal, characteristic, complemented
21#22598132C211yesmaximal, characteristic, complemented
22#22597967C211yesmaximal, characteristic, complemented
23#22597954C211yesmaximal, characteristic, complemented
24#22597831C211yesmaximal, characteristic, complemented
25#22597583C211yesmaximal, characteristic, complemented
26#22597568C211yesmaximal, characteristic, complemented
27#22597145C211yesmaximal, characteristic, complemented
28#22597073C211yesmaximal, characteristic, complemented
29#22596856C211yesmaximal, characteristic, complemented
30C2×#17986002C211yesmaximal, characteristic, complemented
31C71×#3314C211yesmaximal, characteristic, complemented
32C2×#41×D71C2211yescharacteristic
33C22×D4×D71C2211yescharacteristic
34C2×#14556160C2211yescharacteristic, complemented
35C2×#14556155C2211yescharacteristic
36C2×#14556155C2211yescharacteristic
37C22×#11765848C2211yescharacteristic
38C2×M16×D71C2211yescharacteristic, complemented
39#17986722C2211yescharacteristic, complemented
40#17986715C2211yescharacteristic, complemented
41#17986697C2211yescharacteristic, complemented
42#17986697C2211yescharacteristic, complemented
43#17986691C2211yescharacteristic, complemented
44#17986691C2211yescharacteristic, complemented
45#17986687—21no—
46#17986676—21no—
47#17986676—21no—
48#17986653C2211yescharacteristic, complemented
49#17986646C2211yescharacteristic
50#17986645C2211yescharacteristic
51#17986644—21no—
52#17986644C2211yescharacteristic
53#17986643C2211yescharacteristic
54#17986642C2211yescharacteristic
55#17986641—21no—
56#17986640C2211yescharacteristic
57#17986639—21no—
58#17986638—21no—
59#17986637C2211yescharacteristic
60#17986636—21no—
61#17986554C2211yescharacteristic, complemented
62#17986535—21no—
63#17986535—21no—
64#17986534—21no—
65#124×D71C2211yescharacteristic
66#17986512C2211yescharacteristic
67#17986512C2211yescharacteristic, complemented
68#123×D71—21no—
69C22⋊Q8×D71C2211yescharacteristic
70#121×D71—21no—
71#121×D71C2211yescharacteristic
72#120×D71—21no—
73C4×#11765866C2211yescharacteristic, complemented
74C4×#11765864—21no—
75C4×D4×D71C2211yescharacteristic
76C4×D4×D71C2211yescharacteristic
77C2×#14556086C2211yescharacteristic
78C2×#14556086C2211yescharacteristic, complemented
79C2×C22⋊C4×D71—21no—
80#17986361C2211yescharacteristic, complemented
81#17986359C2211yescharacteristic, complemented
82#17986358C2211yescharacteristic, complemented
83#17986355C2211yescharacteristic, complemented
84#17986355C2211yescharacteristic, complemented
85#17986352C2211yescharacteristic, complemented
86#17986352C2211yescharacteristic, complemented
87#17986342C2211yescharacteristic, complemented
88#17986342C2211yescharacteristic, complemented
89#17986338C2211yescharacteristic, complemented
90#17986338C2211yescharacteristic, complemented
91#17986334C2211yescharacteristic, complemented
92#17986330C2211yescharacteristic, complemented
93#17986327C2211yescharacteristic, complemented
94#17986326C2211yescharacteristic, complemented
95#17986326C2211yescharacteristic, complemented
96#17986322C2211yescharacteristic, complemented
97#17986322C2211yescharacteristic, complemented
98#17986318C2211yescharacteristic, complemented
99#17986315C2211yescharacteristic, complemented
100#17986312C2211yescharacteristic, complemented
101#17986302C2211yescharacteristic, complemented
102#17986302C2211yescharacteristic, complemented
103#17986301C2211yescharacteristic, complemented
104#17986301C2211yescharacteristic, complemented
105#17986290C2211yescharacteristic, complemented
106#17986289C2211yescharacteristic, complemented
107#17986276C2211yescharacteristic, complemented
108#17986256C2211yescharacteristic, complemented
109#17986254C2211yescharacteristic, complemented
110#17986252C2211yescharacteristic, complemented
111#17986250C2211yescharacteristic, complemented
112#17986248C2211yescharacteristic, complemented
113#17986247C2211yescharacteristic, complemented
114#17986246C2211yescharacteristic, complemented
115#17986238C2211yescharacteristic, complemented
116#17986236C2211yescharacteristic, complemented
117#17986234C2211yescharacteristic, complemented
118#17986231C2211yescharacteristic, complemented
119#17986230C2211yescharacteristic, complemented
120#17986228C2211yescharacteristic, complemented
121#17986225C2211yescharacteristic, complemented
122#17986223C2211yescharacteristic, complemented
123#17986221C2211yescharacteristic, complemented
124#17986219C2211yescharacteristic, complemented
125#17986217C2211yescharacteristic, complemented
126#17986215C2211yescharacteristic, complemented
127#17986213C2211yescharacteristic, complemented
128#17986211C2211yescharacteristic, complemented
129#17986160C2211yescharacteristic, complemented
130#17986159C2211yescharacteristic, complemented
131#17986158C2211yescharacteristic, complemented
132#17986149C2211yescharacteristic, complemented
133#17986148C2211yescharacteristic, complemented
134#17986148C2211yescharacteristic, complemented
135#17986147C2211yescharacteristic, complemented
136#17986146C2211yescharacteristic, complemented
137#17986145C2211yescharacteristic, complemented
138#17986144C2211yescharacteristic, complemented
139#17986135C2211yescharacteristic, complemented
140#17986134C2211yescharacteristic, complemented
141#17986134C2211yescharacteristic, 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#17986040C2211yescharacteristic, complemented
160#17986021C2211yescharacteristic, complemented
161#17986006C2211yescharacteristic, complemented
162#17986006C2211yescharacteristic, complemented
163#17986006C2211yescharacteristic, complemented
164#17986002C2211yescharacteristic
165#17986002C2211yescharacteristic
166#17986002C2211yescharacteristic
167#17986002C2211yescharacteristic
168#17986002C2211yescharacteristic
169#17986002C2211yescharacteristic
170#17986002C2211yescharacteristic, complemented
171#17986002C2211yescharacteristic, complemented
172#17986002C2211yescharacteristic, complemented
173#17986002C2211yescharacteristic, complemented
174#17986001C2211yescharacteristic, complemented
175#17986000C2211yescharacteristic, complemented
176#17985999C2211yescharacteristic, complemented
177#17985998C2211yescharacteristic, complemented
178#17985994C2211yescharacteristic, complemented
179#17985994C2211yescharacteristic, complemented
180#17985992C2211yescharacteristic, complemented
181#17985992C2211yescharacteristic, complemented
182C2×#14556050C2211yescharacteristic, complemented
183C2×#14556049C2211yescharacteristic, complemented
184C2×#14556048C2211yescharacteristic, complemented
185#17985961C2211yescharacteristic
186#17985961C2211yescharacteristic, complemented
187#17985951C2211yescharacteristic, complemented
188#554×C71C2211yescharacteristic, complemented
189#546×C71C2211yescharacteristic
190#489×C71C2211yescharacteristic, complemented
191#484×C71C2211yescharacteristic, complemented
192#480×C71C2211yescharacteristic, complemented
193#474×C71C2211yescharacteristic, complemented
194#468×C71C2211yescharacteristic, complemented
195#467×C71C2211yescharacteristic, complemented
196#464×C71C2211yescharacteristic, complemented
197#452×C71C2211yescharacteristic, complemented
198#450×C71C2211yescharacteristic, complemented
199#440×C71C2211yescharacteristic, complemented
200#435×C71C2211yescharacteristic, complemented
201#417×C71C2211yescharacteristic, complemented
202C2×#102×C71C2211yescharacteristic, complemented
203C24×D71—21no—
204C2×#11765866C2311yescharacteristic
205C2×#11765866C2311yescharacteristic
206C2×#11765865—21no—
207C2×#11765865C2311yescharacteristic
208C2×#11765864—21no—
209C2×#11765864—21no—
210C2×#11765864C2311yescharacteristic
211#41×D71—24no—
212#41×D71—42no—
213C2×Q8×D71C2311yescharacteristic
214C22×D284C2311yescharacteristic
215C22×C22⋊D71—21no—
216C2×D4×D71—24no—
217C2×D4×D71—21no—
218C2×D4×D71—21no—
219C2×D4×D71—21no—
220C2×D4×D71—21no—
221C2×D4×D71—42no—
222C2×D4×D71D411yescharacteristic
223C2×D4×D71C2311yescharacteristic
224C2×D4×D71C2311yescharacteristic
225C2×D4×D71C2311yescharacteristic
226C2×D4×D71C2311yescharacteristic
227C22×C4×D71—21no—
228C22×C4×D71—21no—
229C22×C4×D71C2311yescharacteristic
230C22×C4×D71C2311yescharacteristic
231#14556160—42no—
232#14556155—24no—
233#14556155—42no—
234C2×#11765855C2311yescharacteristic, complemented
235C2×#11765854C2311yescharacteristic, complemented
236C2×#11765852C2311yescharacteristic
237C2×#11765852C2311yescharacteristic
238C2×#11765852C2311yescharacteristic, complemented
239C2×D568C2311yescharacteristic
240C2×D568C2311yescharacteristic
241C2×#11765850C2311yescharacteristic
242C2×#11765850C2311yescharacteristic
243C2×#11765849C2311yescharacteristic, complemented
244C2×#11765848—42no—
245C2×#11765848C2311yescharacteristic
246C2×#11765848C2311yescharacteristic
247C2×#11765848C2311yescharacteristic
248C2×#11765848C2311yescharacteristic
249C2×#11765848C2311yescharacteristic
250C2×#11765848C2311yescharacteristic
251M16×D71—42no—
252C22×C71⋊C8C2311yescharacteristic
253C2×C8×D71C2311yescharacteristic, complemented
254C2×C8×D71C2311yescharacteristic, complemented
255#14556128C2311yescharacteristic, complemented
256#14556123—21no—
257#14556123—21no—
258#14556123—21no—
259#14556123—21no—
260#14556123—21no—
261#14556123—21no—
262#14556119—21no—
263#14556119—21no—
264#14556119C2311yescharacteristic, complemented
265#14556119C2311yescharacteristic, complemented
266#14556117—21no—
267#14556117—21no—
268#14556117C2311yescharacteristic
269#14556116—21no—
270#14556116C2311yescharacteristic
271#14556115C2311yescharacteristic
272#14556114—21no—
273#14556114—21no—
274#14556113—21no—
275#14556113—21no—
276#14556113—21no—
277#14556113—21no—
278#14556113—21no—
279#14556113—21no—
280#14556112—21no—
281#14556112—21no—
282#14556112—21no—
283#14556112—21no—
284#14556112—21no—
285#14556111—21no—
286#14556110—21no—
287#14556110—21no—
288#14556109—21no—
289#14556108—21no—
290#14556108—21no—
291#14556108C2311yescharacteristic
292#14556107C2311yescharacteristic
293#14556106—21no—
294#14556105—21no—
295#14556104—21no—
296#14556104C2311yescharacteristic
297#14556104C2311yescharacteristic
298#14556104C2311yescharacteristic, complemented
299#14556103—21no—
300#14556103—21no—
301#14556103C2311yescharacteristic
302#14556103C2311yescharacteristic
303#14556103C2311yescharacteristic, complemented
304#14556102—21no—
305#14556102—21no—
306#14556102—21no—
307#14556102C2311yescharacteristic
308#14556102C2311yescharacteristic
309#14556102C2311yescharacteristic, complemented
310#14556101—21no—
311#14556101—21no—
312#14556101—21no—
313#14556100—21no—
314#14556100—21no—
315#14556100—21no—
316#14556099—21no—
317#14556099C2311yescharacteristic
318#14556098—21no—
319#14556098—21no—
320#14556098—21no—
321#14556098—21no—
322#14556098—21no—
323#14556097—21no—
324#14556096—21no—
325#14556096—21no—
326#14556096—21no—
327Q8×Dic71—21no—
328Q8×Dic71C2311yescharacteristic, complemented
329C4×Dic142—21no—
330#14556093—21no—
331C4×D284—21no—
332C4×D284C2311yescharacteristic
333C4×D284C2311yescharacteristic
334C4×D284C2311yescharacteristic, complemented
335D4×Dic71D411yescharacteristic
336D4×Dic71C2311yescharacteristic
337#14556090—21no—
338#14556090—21no—
339#14556090—21no—
340#14556090D411yescharacteristic
341#14556090C2311yescharacteristic
342#14556090C2311yescharacteristic, complemented
343C4×C22⋊D71—21no—
344C4×C22⋊D71—21no—
345C4×C22⋊D71—21no—
346C4×C22⋊D71C2311yescharacteristic
347C4×C22⋊D71C2311yescharacteristic
348(C22⋊D71)⋊C4—21no—
349(C22⋊D71)⋊C4—21no—
350(C22⋊D71)⋊C4—21no—
351(C22⋊D71)⋊C4D411yescharacteristic
352(C22⋊D71)⋊C4D411yescharacteristic
353#14556086—21no—
354#14556086—21no—
355#14556086—21no—
356#14556086—21no—
357#14556086—21no—
358#14556086—21no—
359#14556086C2311yescharacteristic
360#14556086C2311yescharacteristic
361#14556086C2311yescharacteristic
362#14556086C2311yescharacteristic
363#14556086C2311yescharacteristic
364#14556086C2311yescharacteristic, complemented
365#14556086C2311yescharacteristic, complemented
366#14556084—21no—
367#14556084—21no—
368C2×C4⋊Dic71C2311yescharacteristic
369C2×C4⋊Dic71C2311yescharacteristic, complemented
370C4⋊C4×D71—21no—
371C4⋊C4×D71D411yescharacteristic
372C4⋊C4×D71C2311yescharacteristic
373C2×C22⋊Dic71—21no—
374C2×(C2×D71)⋊C4—21no—
375C2×(C2×D71)⋊C4—21no—
376C2×(C2×D71)⋊C4—21no—
377C2×(C2×D71)⋊C4—21no—
378C22⋊C4×D71—21no—
379C22⋊C4×D71—21no—
380C22⋊C4×D71—21no—
381C22⋊C4×D71—21no—
382C22⋊C4×D71—21no—
383C22⋊C4×D71—21no—
384C22⋊C4×D71—21no—
385C22⋊C4×D71—21no—
386C22⋊C4×D71—21no—
387C22⋊C4×D71D411yescharacteristic
388C22⋊C4×D71D411yescharacteristic
389C2×C4×Dic71—21no—
390C2×C4×Dic71—21no—
391C42×D71—21no—
392C42×D71C2311yescharacteristic
393#14556061C2311yescharacteristic, complemented
394#14556061C2311yescharacteristic, complemented
395#14556061C2311yescharacteristic, complemented
396#14556060C2311yescharacteristic, complemented
397#14556060C2311yescharacteristic, complemented
398#14556060C2311yescharacteristic, complemented
399#14556059C2311yescharacteristic, complemented
400#14556059C2311yescharacteristic, complemented
401#14556059C2311yescharacteristic, complemented
402C4⋊(C71⋊C8)C2311yescharacteristic, complemented
403Dic71⋊C8C2311yescharacteristic, complemented
404Dic71⋊C8C2311yescharacteristic, complemented
405#14556053C2311yescharacteristic, complemented
406#14556053C2311yescharacteristic, complemented
407#14556053C2311yescharacteristic, complemented
408#14556052C2311yescharacteristic, complemented
409#14556052C2311yescharacteristic, complemented
410#14556052C2311yescharacteristic, complemented
411#14556052C2311yescharacteristic, complemented
412#14556051C2311yescharacteristic, complemented
413#14556051C2311yescharacteristic, complemented
414#14556051C2311yescharacteristic, complemented
415#14556050C2311yescharacteristic
416#14556050C2311yescharacteristic
417#14556050C2311yescharacteristic
418#14556050C2311yescharacteristic
419#14556050C2311yescharacteristic
420#14556050C2311yescharacteristic
421#14556050C2311yescharacteristic, complemented
422#14556049C2311yescharacteristic
423#14556049C2311yescharacteristic
424#14556049C2311yescharacteristic
425#14556049C2311yescharacteristic
426#14556049C2311yescharacteristic
427#14556049C2311yescharacteristic
428#14556048C2311yescharacteristic
429#14556048C2311yescharacteristic
430#14556048C2311yescharacteristic
431#14556048C2311yescharacteristic
432#14556048C2311yescharacteristic
433#14556048C2311yescharacteristic
434#14556048C2311yescharacteristic, complemented
435C22⋊(C71⋊C8)C2311yescharacteristic
436C22⋊(C71⋊C8)C2311yescharacteristic, complemented
437(C2×D71)⋊C8C2311yescharacteristic
438(C2×D71)⋊C8C2311yescharacteristic
439(C2×D71)⋊C8C2311yescharacteristic, complemented
440(C2×D71)⋊C8C2311yescharacteristic, complemented
441#14556039C2311yescharacteristic, complemented
442C8×Dic71C2311yescharacteristic, complemented
443C8×Dic71C2311yescharacteristic, complemented
444C2×#41×C71C2311yescharacteristic
445C22×D4×C71C2311yescharacteristic
446C2×Q16×C71C2311yescharacteristic, complemented
447C2×SD16×C71C2311yescharacteristic
448C2×SD16×C71C2311yescharacteristic
449C2×M16×C71C2311yescharacteristic, complemented
450C22×C8×C71C2311yescharacteristic
451C4⋊Q8×C71C2311yescharacteristic, complemented
452#125×C71—21no—
453#124×C71C2311yescharacteristic
454#123×C71—21no—
455C22⋊Q8×C71—21no—
456C22⋊Q8×C71—21no—
457C22⋊Q8×C71C2311yescharacteristic
458C22⋊Q8×C71C2311yescharacteristic
459C22⋊Q8×C71C2311yescharacteristic, complemented
460#121×C71—21no—
461#121×C71C2311yescharacteristic
462#120×C71—21no—
463C4×Q8×C71C2311yescharacteristic, complemented
464C4×D4×C71—21no—
465C4×D4×C71C2311yescharacteristic
466C4×D4×C71C2311yescharacteristic
467C2×C4⋊C4×C71C2311yescharacteristic
468C2×C4⋊C4×C71C2311yescharacteristic, complemented
469C2×C22⋊C4×C71—21no—
470#107×C71C2311yescharacteristic, complemented
471#107×C71C2311yescharacteristic, complemented
472#107×C71C2311yescharacteristic, complemented
473C4⋊C8×C71C2311yescharacteristic, complemented
474#103×C71C2311yescharacteristic, complemented
475#103×C71C2311yescharacteristic, complemented
476#103×C71C2311yescharacteristic, complemented
477#103×C71C2311yescharacteristic, complemented
478#102×C71C2311yescharacteristic
479#102×C71C2311yescharacteristic
480#102×C71C2311yescharacteristic
481#102×C71C2311yescharacteristic
482#102×C71C2311yescharacteristic
483#102×C71C2311yescharacteristic
484C22⋊C8×C71C2311yescharacteristic
485C22⋊C8×C71C2311yescharacteristic, complemented
486#97×C71C2311yescharacteristic, complemented
487C23×D71—21no—
488C23×D71—21no—
489C23×D71—21no—
490C23×D71—21no—
491C23×D71—21no—
492C23×D71—44no—
493C23×D71—44no—
494C23×D71—82no—
495C23×D71C2×D411yescharacteristic
496C23×D71C2×D411yescharacteristic
497#11765866—22no—
498#11765866—22no—
499#11765866—22no—
500#11765866—41no—
501#11765865—22no—
502#11765865—41no—
503#11765865—44no—
504#11765864—22no—
505#11765864—41no—
506#11765864—44no—
507#11765864—44no—
508C2×Dic142—21no—
509C2×Dic142—21no—
510C2×Dic142C2411yescharacteristic
511Q8×D71—22no—
512Q8×D71—22no—
513C2×D284—22no—
514C2×D284—21no—
515C2×D284—21no—
516C2×D284—21no—
517C2×D284—21no—
518C2×D284—21no—
519C2×D284—21no—
520C2×D284—41no—
521C2×D284C2×D411yescharacteristic
522C2×D284C2411yescharacteristic
523C2×D284C2411yescharacteristic
524C2×D284C2411yescharacteristic
525C2×C22⋊D71—21no—
526C2×C22⋊D71—21no—
527C2×C22⋊D71—21no—
528C2×C22⋊D71—21no—
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—44no—
536C2×C22⋊D71C2×D411yescharacteristic
537C2×C22⋊D71C2×D411yescharacteristic
538D4×D71—22no—
539D4×D71—22no—
540D4×D71—22no—
541D4×D71—22no—
542D4×D71—22no—
543D4×D71—41no—
544D4×D71—41no—
545D4×D71—44no—
546D4×D71—44no—
547D4×D71—42no—
548D4×D71—44no—
549D4×D71—82no—
550D4×D71#4114yescomplemented
551C22×Dic71—21no—
552C22×Dic71—21no—
553C22×Dic71—21no—
554C22×Dic71—21no—
555C22×Dic71C2×D411yescharacteristic
556C22×Dic71C2×D411yescharacteristic
557C2×C4×D71—22no—
558C2×C4×D71—22no—
559C2×C4×D71—22no—
560C2×C4×D71—22no—
561C2×C4×D71—21no—
562C2×C4×D71—21no—
563C2×C4×D71—21no—
564C2×C4×D71—21no—
565C2×C4×D71—21no—
566C2×C4×D71—21no—
567C2×C4×D71—21no—
568C2×C4×D71—21no—
569C2×C4×D71—21no—
570C2×C4×D71—44no—
571C2×C4×D71—82no—
572C2×C4×D71C2×D411yescharacteristic
573C2×C4×D71C2×D411yescharacteristic
574C2×C4×D71C2×D411yescharacteristic
575C2×C4×D71C2×D411yescharacteristic
576C2×C4×D71C2×D411yescharacteristic
577C2×C4×D71C2×D411yescharacteristic
578C2×C4×D71C2411yescharacteristic
579C2×C4×D71C2411yescharacteristic
580C2×C4×D71C2411yescharacteristic
581#11765855—41no—
582#11765854—41no—
583#11765852—22no—
584#11765852—41no—
585#11765852—41no—
586D568—22no—
587D568—41no—
588#11765850—22no—
589#11765850—41no—
590#11765849—41no—
591#11765848—22no—
592#11765848—22no—
593#11765848—22no—
594#11765848—22no—
595#11765848—41no—
596#11765848—41no—
597C2×C71⋊C8—41no—
598C2×C71⋊C8C2411yescharacteristic
599C2×C71⋊C8C2411yescharacteristic
600C2×C71⋊C8C2411yescharacteristic
601C2×C71⋊C8C2411yescharacteristic
602C8×D71—41no—
603C8×D71—41no—
604C4⋊Dic71—21no—
605C4⋊Dic71—21no—
606C4⋊Dic71—21no—
607C4⋊Dic71—21no—
608C4⋊Dic71—21no—
609C4⋊Dic71—21no—
610C4⋊Dic71—21no—
611C4⋊Dic71C2×D411yescharacteristic
612C4⋊Dic71C2411yescharacteristic
613C4⋊Dic71C2411yescharacteristic
614C4⋊Dic71C2411yescharacteristic
615C4⋊Dic71C2411yescharacteristic
616Dic71⋊C4—21no—
617Dic71⋊C4—21no—
618Dic71⋊C4—21no—
619Dic71⋊C4—21no—
620Dic71⋊C4—21no—
621Dic71⋊C4—21no—
622Dic71⋊C4—21no—
623Dic71⋊C4C2×D411yescharacteristic
624Dic71⋊C4C2×D411yescharacteristic
625C22⋊Dic71—21no—
626C22⋊Dic71—21no—
627C22⋊Dic71—21no—
628C22⋊Dic71—21no—
629C22⋊Dic71—21no—
630C22⋊Dic71C2×D411yescharacteristic
631C22⋊Dic71C2×D411yescharacteristic
632(C2×D71)⋊C4—21no—
633(C2×D71)⋊C4—21no—
634(C2×D71)⋊C4—21no—
635(C2×D71)⋊C4—21no—
636(C2×D71)⋊C4—21no—
637(C2×D71)⋊C4—21no—
638(C2×D71)⋊C4—21no—
639(C2×D71)⋊C4—21no—
640(C2×D71)⋊C4—21no—
641(C2×D71)⋊C4—21no—
642(C2×D71)⋊C4—21no—
643(C2×D71)⋊C4—21no—
644(C2×D71)⋊C4—21no—
645(C2×D71)⋊C4—21no—
646(C2×D71)⋊C4—21no—
647(C2×D71)⋊C4—21no—
648(C2×D71)⋊C4—21no—
649(C2×D71)⋊C4—21no—
650(C2×D71)⋊C4—21no—
651(C2×D71)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
658(C2×D71)⋊C4C2×D411yescharacteristic
659(C2×D71)⋊C4C2×D411yescharacteristic
660(C2×D71)⋊C4C2×D411yescharacteristic
661C4×Dic71—21no—
662C4×Dic71—21no—
663C4×Dic71—21no—
664C4×Dic71—21no—
665C4×Dic71—21no—
666C4×Dic71—21no—
667C4×Dic71—21no—
668C4×Dic71—21no—
669C4×Dic71C2×D411yescharacteristic
670C4×Dic71C2×D411yescharacteristic
671C4×Dic71C2411yescharacteristic
672C24×C71—21no—
673#41×C71—22no—
674#41×C71—41no—
675C2×Q8×C71—21no—
676C2×Q8×C71C2411yescharacteristic
677C2×Q8×C71C2411yescharacteristic
678C2×D4×C71—22no—
679C2×D4×C71—21no—
680C2×D4×C71—21no—
681C2×D4×C71—21no—
682C2×D4×C71—41no—
683C2×D4×C71C2×D411yescharacteristic
684C2×D4×C71C2411yescharacteristic
685C2×D4×C71C2411yescharacteristic
686C22×C4×C71—21no—
687C22×C4×C71—21no—
688C22×C4×C71—21no—
689C22×C4×C71—21no—
690C22×C4×C71C2411yescharacteristic
691C22×C4×C71C2411yescharacteristic
692Q16×C71—41no—
693SD16×C71—22no—
694SD16×C71—41no—
695M16×C71—41no—
696C2×C8×C71—41no—
697C2×C8×C71C2411yescharacteristic
698C2×C8×C71C2411yescharacteristic
699C2×C8×C71C2411yescharacteristic
700C2×C8×C71C2411yescharacteristic
701C4⋊C4×C71—21no—
702C4⋊C4×C71—21no—
703C4⋊C4×C71—21no—
704C4⋊C4×C71—21no—
705C4⋊C4×C71—21no—
706C4⋊C4×C71—21no—
707C4⋊C4×C71—21no—
708C4⋊C4×C71C2×D411yescharacteristic
709C4⋊C4×C71C2411yescharacteristic
710C4⋊C4×C71C2411yescharacteristic
711C4⋊C4×C71C2411yescharacteristic
712C4⋊C4×C71C2411yescharacteristic
713C22⋊C4×C71—21no—
714C22⋊C4×C71—21no—
715C22⋊C4×C71—21no—
716C22⋊C4×C71—21no—
717C22⋊C4×C71—21no—
718C22⋊C4×C71—21no—
719C22⋊C4×C71—21no—
720C22⋊C4×C71C2×D411yescharacteristic
721C22⋊C4×C71C2×D411yescharacteristic
722C42×C71—21no—
723C42×C71C2411yescharacteristic
724C23×C71—21no—
725C23×C71—21no—
726C23×C71—42no—
727C23×C71—42no—
728C23×C71—81no—
729C23×C71C22×D411yescharacteristic
730C23×C71C22×D411yescharacteristic
731C22×D71—22no—
732C22×D71—21no—
733C22×D71—22no—
734C22×D71—24no—
735C22×D71—22no—
736C22×D71—21no—
737C22×D71—21no—
738C22×D71—41no—
739C22×D71—41no—
740C22×D71—41no—
741C22×D71—42no—
742C22×D71—42no—
743C22×D71—42no—
744C22×D71—42no—
745C22×D71—42no—
746C22×D71—42no—
747C22×D71—42no—
748C22×D71—42no—
749C22×D71—42no—
750C22×D71—42no—
751C22×D71—42no—
752C22×D71—81no—
753C22×D71—81no—
754C22×D71—81no—
755C22×D71—816no—
756C22×D71C22×D411yescharacteristic
757C22×D71C22×D411yescharacteristic
758C22×D71C22×D411yescharacteristic
759Q8×C71—21no—
760Q8×C71—21no—
761Q8×C71—21no—
762Q8×C71—21no—
763Q8×C71—81no—
764D4×C71—22no—
765D4×C71—21no—
766D4×C71—21no—
767D4×C71—21no—
768D4×C71—42no—
769D4×C71—42no—
770D4×C71—81no—
771D4×C71C2×#4112yes—
772C2×C4×C71—21no—
773C2×C4×C71—21no—
774C2×C4×C71—21no—
775C2×C4×C71—21no—
776C2×C4×C71—21no—
777C2×C4×C71—21no—
778C2×C4×C71—21no—
779C2×C4×C71—21no—
780C2×C4×C71—21no—
781C2×C4×C71—21no—
782C2×C4×C71—42no—
783C2×C4×C71—81no—
784C2×C4×C71—81no—
785C2×C4×C71—81no—
786C2×C4×C71C22×D411yescharacteristic
787C2×C4×C71C22×D411yescharacteristic
788C2×C4×C71C22×D411yescharacteristic
789C2×C4×C71C22×D411yescharacteristic
790C2×C4×C71C2511yescharacteristic
791C22⋊D71—22no—
792C22⋊D71—24no—
793C22⋊D71—41no—
794C22⋊D71—42no—
795C22⋊D71—42no—
796C22⋊D71—42no—
797C22⋊D71—42no—
798C22⋊D71—42no—
799C22⋊D71—42no—
800C22⋊D71—42no—
801C22⋊D71—81no—
802C22⋊D71—81no—
803C2×Dic71—22no—
804C2×Dic71—22no—
805C2×Dic71—21no—
806C2×Dic71—21no—
807C2×Dic71—21no—
808C2×Dic71—21no—
809C2×Dic71—21no—
810C2×Dic71—42no—
811C2×Dic71—42no—
812C2×Dic71—42no—
813C2×Dic71—81no—
814C2×Dic71C22×D411yescharacteristic
815C2×Dic71C22×D411yescharacteristic
816C2×Dic71C22×D411yescharacteristic
817C2×Dic71C22×D411yescharacteristic
818C2×Dic71C22×D411yescharacteristic
819D284—21no—
820D284—21no—
821D284—21no—
822D284—21no—
823D284—21no—
824D284—41no—
825D284—42no—
826D284—42no—
827D284—42no—
828D284—81no—
829D284—81no—
830D284—81no—
831D284C2×#4112yes—
832C4×D71—22no—
833C4×D71—22no—
834C4×D71—21no—
835C4×D71—21no—
836C4×D71—21no—
837C4×D71—21no—
838C4×D71—22no—
839C4×D71—22no—
840C4×D71—41no—
841C4×D71—41no—
842C4×D71—42no—
843C4×D71—42no—
844C4×D71—42no—
845C4×D71—42no—
846C4×D71—42no—
847C4×D71—42no—
848C4×D71—81no—
849C4×D71—81no—
850C4×D71—81no—
851C4×D71C2×#4112yes—
852C4×D71H(5,𝔽2)12yes—
853Dic142—21no—
854Dic142—21no—
855Dic142—42no—
856Dic142—42no—
857C8×C71—21no—
858C8×C71—21no—
859C8×C71—21no—
860C8×C71—21no—
861C71⋊C8—21no—
862C71⋊C8—21no—
863C71⋊C8—21no—
864C71⋊C8—21no—
865C22×C71—21no—
866C22×C71—21no—
867C22×C71—21no—
868C22×C71—21no—
869C22×C71—22no—
870C22×C71—21no—
871C22×C71—41no—
872C22×C71—41no—
873C22×C71—41no—
874C22×C71—41no—
875C22×C71—41no—
876C22×C71—84no—
877C22×C71#57512yes—
878C22×C71C23×D411yescharacteristic
879C2×D71—21no—
880C2×D71—21no—
881C2×D71—21no—
882C2×D71—21no—
883C2×D71—21no—
884C2×D71—21no—
885C2×D71—22no—
886C2×D71—21no—
887C2×D71—21no—
888C2×D71—44no—
889C2×D71—48no—
890C2×D71—41no—
891C2×D71—41no—
892C2×D71—41no—
893C2×D71—41no—
894C2×D71—41no—
895C2×D71—41no—
896C2×D71—41no—
897C2×D71—41no—
898C2×D71—82no—
899C2×D71—84no—
900C2×D71—84no—
901C2×D71—84no—
902C2×D71—84no—
903C2×D71#54612yes—
904C4×C71—21no—
905C4×C71—21no—
906C4×C71—21no—
907C4×C71—21no—
908C4×C71—41no—
909C4×C71—41no—
910C4×C71—41no—
911C4×C71—41no—
912C4×C71—41no—
913C4×C71—41no—
914C4×C71C22×#4111yescharacteristic
915C4×C71C2×H(5,𝔽2)11yescharacteristic
916Dic71—21no—
917Dic71—21no—
918Dic71—21no—
919Dic71—21no—
920Dic71—41no—
921Dic71—41no—
922Dic71—41no—
923Dic71—41no—
924Dic71—41no—
925Dic71#54612yes—
926#61156—711nomaximal, Sylow
927C2×C71—22no—
928C2×C71—42no—
929C2×C71—41no—
930C2×C71—81no—
931C2×C71C2×#54611yescharacteristic
932C2×C71C2×#57511yescharacteristic
933C2×C71#358511yescharacteristic
934D71—22no—
935D71—41no—
936D71—41no—
937D71—42no—
938D71—81no—
939D71—81no—
940#3475—711no—
941C2×#546—711no—
942#3323—711no—
943#3323—711no—
944#3322—711no—
945#3322—711no—
946#3319—711no—
947#3319—711no—
948#3314—711no—
949#3314D7111yescharacteristic, complemented
950#3311—711no—
951#3311—711no—
952#3306—711no—
953#3306—711no—
954#3297—711no—
955#3297—711no—
956#3296—711no—
957#3296—711no—
958#3140—711no—
959#3095—711no—
960#3094—711no—
961#3077—711no—
962#3056—711no—
963#3055—711no—
964#3040—711no—
965#3005—711no—
966#3003—711no—
967C4×AGL(1,ℤ/8)—711no—
968D4×M16—711no—
969#2896—711no—
970C2×#418—711no—
971C71#6115611yescharacteristic, complemented, Sylow
972C22×#41—711no—
973C23×D4—711no—
974C2×#137—711no—
975C2×AGL(1,ℤ/8)—711no—
976C2×AGL(1,ℤ/8)—711no—
977C22×M16—711no—
978C22×M16—711no—
979#556—711no—
980#555—711no—
981#554C2×D7111yescharacteristic, complemented
982#553—711no—
983#553—711no—
984#552—711no—
985#552—711no—
986#552—1421no—
987#551—1421no—
988#551—1421no—
989#547—711no—
990#546—711no—
991#546—711no—
992#546—711no—
993#546—711no—
994#546—711no—
995#546—711no—
996#546—711no—
997#546—1421no—
998#546—1421no—
999#546—1421no—
1000#546—1421no—
1001#546—1421no—
1002#546C2×D7111yescharacteristic
1003#533—711no—
1004#529—1421no—
1005#529—1421no—
1006#529—1421no—
1007C2×#124—711no—
1008#525—711no—
1009#525—711no—
1010C2×#123—1421no—
1011C2×C22⋊Q8—711no—
1012C2×#121—711no—
1013C2×#121—1421no—
1014C2×#120—1421no—
1015C4×#41—711no—
1016C4×#41—1421no—
1017C2×C4×D4—711no—
1018C2×C4×D4—711no—
1019C2×#117—711no—
1020C2×#117—711no—
1021C22×C22⋊C4—1421no—
1022#489—711no—
1023#489—711no—
1024#489—711no—
1025#489C2×D7111yescharacteristic, complemented
1026#488—711no—
1027#488—711no—
1028#488—711no—
1029#488—711no—
1030#485—711no—
1031#485—711no—
1032#485—711no—
1033#485—711no—
1034#484—711no—
1035#484C2×D7111yescharacteristic, complemented
1036#483—711no—
1037#483—711no—
1038#482—711no—
1039#482—711no—
1040#482—711no—
1041#482—711no—
1042#481—711no—
1043#481—711no—
1044#480—711no—
1045#480C2×D7111yescharacteristic, complemented
1046#478—711no—
1047#478—711no—
1048#478—711no—
1049#478—711no—
1050#476—711no—
1051#476—711no—
1052#474—711no—
1053#474C2×D7111yescharacteristic, complemented
1054#470—711no—
1055#470—711no—
1056#469—711no—
1057#469—711no—
1058#468—711no—
1059#468—711no—
1060#468—711no—
1061#468C2×D7111yescharacteristic, complemented
1062#467—711no—
1063#467C2×D7111yescharacteristic, complemented
1064#466—711no—
1065#466—711no—
1066#465—711no—
1067#465—711no—
1068#465—711no—
1069#465—711no—
1070#464—711no—
1071#464—711no—
1072#464—711no—
1073#464C2×D7111yescharacteristic, complemented
1074#463—711no—
1075#463—711no—
1076#463—711no—
1077#463—711no—
1078#452—711no—
1079#452—711no—
1080#452—711no—
1081#452C2×D7111yescharacteristic, complemented
1082#450—711no—
1083#450—711no—
1084#450—711no—
1085#450C2×D7111yescharacteristic, complemented
1086#449—711no—
1087#449—711no—
1088#449—711no—
1089#449—711no—
1090#447—711no—
1091#447—711no—
1092#447—711no—
1093#447—711no—
1094#442—711no—
1095#442—711no—
1096#440—711no—
1097#440C2×D7111yescharacteristic, complemented
1098C4×SD16—711no—
1099C4×SD16—711no—
1100C4×D8—711no—
1101C4×D8—711no—
1102#436—711no—
1103#436—711no—
1104#435—711no—
1105#435—711no—
1106#435—711no—
1107#435C2×D7111yescharacteristic, complemented
1108C8×D4—711no—
1109C8×D4—711no—
1110#428—711no—
1111#428—711no—
1112#428—711no—
1113#423—711no—
1114#419—711no—
1115#419—711no—
1116#419—711no—
1117#418—711no—
1118#418—711no—
1119#418—711no—
1120#418—711no—
1121#418—711no—
1122#418—711no—
1123#418—711no—
1124#418—711no—
1125#418—711no—
1126#418—711no—
1127#417—711no—
1128#417—711no—
1129#417—711no—
1130#417—711no—
1131#417C2×D7111yescharacteristic, complemented
1132#416—711no—
1133#416—711no—
1134#416—711no—
1135#416—711no—
1136C2×#102—711no—
1137C2×#102—711no—
1138C2×#102—711no—
1139C2×#102C2×D7111yescharacteristic, complemented
1140#407—711no—
1141#407—711no—
1142C4×M16—711no—
1143C25—1421no—
1144C2×#41—2842no—
1145C2×#41—711no—
1146C2×#41—711no—
1147C2×#41—711no—
1148C2×#41—711no—
1149C2×#41—1421no—
1150C2×#41—1424no—
1151C2×#41—1421no—
1152C2×#41—1421no—
1153C2×#41C22×D7111yescharacteristic
1154C22×Q8—711no—
1155C22×D4—2842no—
1156C22×D4—711no—
1157C22×D4—711no—
1158C22×D4—711no—
1159C22×D4—711no—
1160C22×D4—711no—
1161C22×D4—711no—
1162C22×D4—1421no—
1163C22×D4—1421no—
1164C22×D4—1421no—
1165C22×D4—1421no—
1166C22×D4—1424no—
1167C22×D4—1421no—
1168C22×D4C22×D7111yescharacteristic
1169C23×C4—711no—
1170C23×C4—711no—
1171C23×C4—1421no—
1172C23×C4—1421no—
1173#137—2842no—
1174AGL(1,ℤ/8)—2842no—
1175AGL(1,ℤ/8)—1424no—
1176C2×Q16—711no—
1177C2×Q16C22×D7111yescharacteristic, complemented
1178C2×SD16—711no—
1179C2×SD16—711no—
1180C2×SD16—711no—
1181C2×SD16—711no—
1182C2×SD16C22×D7111yescharacteristic
1183C2×SD16C22×D7111yescharacteristic
1184C2×D8—711no—
1185C2×D8—711no—
1186C2×D8—711no—
1187C2×D8—711no—
1188C2×M16—2842no—
1189C2×M16—2842no—
1190C2×M16—711no—
1191C2×M16—711no—
1192C2×M16—711no—
1193C2×M16—711no—
1194C2×M16—711no—
1195C2×M16—711no—
1196C2×M16—711no—
1197C2×M16C22×D7111yescharacteristic, complemented
1198C22×C8—711no—
1199C22×C8—711no—
1200C22×C8—711no—
1201C22×C8C22×D7111yescharacteristic
1202C4⋊Q8—711no—
1203C4⋊Q8C22×D7111yescharacteristic, complemented
1204#126—1421no—
1205#126—1421no—
1206#126—1421no—
1207#126—1421no—
1208#126—1421no—
1209#126—1421no—
1210#125—21no—
1211#125—711no—
1212#125—711no—
1213#125—1421no—
1214#125—1421no—
1215#124—711no—
1216#124—711no—
1217#124—711no—
1218#124—1421no—
1219#124—1421no—
1220#124—1421no—
1221#124—1421no—
1222#124—1421no—
1223#124C22×D7111yescharacteristic
1224#123—21no—
1225#123—1421no—
1226#123—1421no—
1227#123—1421no—
1228#123—1421no—
1229#123—1421no—
1230#123—1421no—
1231#123—1421no—
1232#123—1421no—
1233#123—1421no—
1234#123—1421no—
1235#123—1421no—
1236#123—1421no—
1237#123—1421no—
1238#123—1421no—
1239#123—1421no—
1240C22⋊Q8—21no—
1241C22⋊Q8—21no—
1242C22⋊Q8—711no—
1243C22⋊Q8—711no—
1244C22⋊Q8—711no—
1245C22⋊Q8—711no—
1246C22⋊Q8—711no—
1247C22⋊Q8—1421no—
1248C22⋊Q8—1421no—
1249C22⋊Q8—1421no—
1250C22⋊Q8—1421no—
1251C22⋊Q8—1421no—
1252C22⋊Q8C22×D7111yescharacteristic
1253C22⋊Q8C22×D7111yescharacteristic
1254C22⋊Q8C22×D7111yescharacteristic, complemented
1255#121—21no—
1256#121—711no—
1257#121—711no—
1258#121—711no—
1259#121—711no—
1260#121—711no—
1261#121—711no—
1262#121—711no—
1263#121—1421no—
1264#121—1421no—
1265#121—1421no—
1266#121—1421no—
1267#121—1421no—
1268#121—1421no—
1269#121—1421no—
1270#121—1421no—
1271#121—1421no—
1272#121—1421no—
1273#121—1421no—
1274#121—1421no—
1275#121C22×D7111yescharacteristic
1276#120—21no—
1277#120—1421no—
1278#120—1421no—
1279#120—1421no—
1280#120—1421no—
1281#120—1421no—
1282#120—1421no—
1283#120—1421no—
1284#120—1421no—
1285#120—1421no—
1286C4×Q8—711no—
1287C4×Q8—1421no—
1288C4×Q8—1421no—
1289C4×Q8—1421no—
1290C4×Q8C22×D7111yescharacteristic, complemented
1291C4×D4—21no—
1292C4×D4—711no—
1293C4×D4—711no—
1294C4×D4—711no—
1295C4×D4—711no—
1296C4×D4—711no—
1297C4×D4—711no—
1298C4×D4—711no—
1299C4×D4—711no—
1300C4×D4—711no—
1301C4×D4—711no—
1302C4×D4—711no—
1303C4×D4—711no—
1304C4×D4—1421no—
1305C4×D4—1421no—
1306C4×D4—1421no—
1307C4×D4—1421no—
1308C4×D4—1421no—
1309C4×D4—1421no—
1310C4×D4—1421no—
1311C4×D4—1421no—
1312C4×D4—1421no—
1313C4×D4—1421no—
1314C4×D4C22×D7111yescharacteristic
1315C4×D4C22×D7111yescharacteristic
1316#117—711no—
1317#117—711no—
1318#117—711no—
1319#117—711no—
1320#117—711no—
1321#117—711no—
1322#117—711no—
1323#117—1421no—
1324#117—1421no—
1325#117—1421no—
1326#117—1421no—
1327#117—1421no—
1328#117—1421no—
1329#117—1421no—
1330#117—1421no—
1331C2×C4⋊C4—711no—
1332C2×C4⋊C4—711no—
1333C2×C4⋊C4—711no—
1334C2×C4⋊C4—711no—
1335C2×C4⋊C4—1421no—
1336C2×C4⋊C4C22×D7111yescharacteristic
1337C2×C4⋊C4C22×D7111yescharacteristic, complemented
1338C2×C22⋊C4—21no—
1339C2×C22⋊C4—711no—
1340C2×C22⋊C4—711no—
1341C2×C22⋊C4—1421no—
1342C2×C22⋊C4—1421no—
1343C2×C22⋊C4—1421no—
1344C2×C22⋊C4—1421no—
1345C2×C22⋊C4—1421no—
1346C2×C22⋊C4—1421no—
1347C2×C22⋊C4—1421no—
1348C2×C22⋊C4—1421no—
1349C2×C22⋊C4—1421no—
1350C2×C22⋊C4—1421no—
1351C2×C22⋊C4—1421no—
1352C2×C22⋊C4—1421no—
1353C2×C22⋊C4—1421no—
1354C2×C22⋊C4—1421no—
1355C2×C42—711no—
1356C2×C42—1421no—
1357C2×C42—1421no—
1358C2×C42—1421no—
1359#107—711no—
1360#107—711no—
1361#107—711no—
1362#107C22×D7111yescharacteristic, complemented
1363#107C22×D7111yescharacteristic, complemented
1364#107C22×D7111yescharacteristic, complemented
1365#106—711no—
1366#106—711no—
1367#106—711no—
1368#106—711no—
1369#106—711no—
1370#106—711no—
1371C4⋊C8—711no—
1372C4⋊C8—711no—
1373C4⋊C8—711no—
1374C4⋊C8C22×D7111yescharacteristic, complemented
1375#103—711no—
1376#103—711no—
1377#103—711no—
1378#103—711no—
1379#103—711no—
1380#103—711no—
1381#103—711no—
1382#103—711no—
1383#103—711no—
1384#103—711no—
1385#103C22×D7111yescharacteristic, complemented
1386#103C22×D7111yescharacteristic, complemented
1387#103C22×D7111yescharacteristic, complemented
1388#103C22×D7111yescharacteristic, complemented
1389#102—711no—
1390#102—711no—
1391#102—711no—
1392#102—711no—
1393#102—711no—
1394#102—711no—
1395#102—711no—
1396#102—711no—
1397#102—711no—
1398#102—711no—
1399#102—711no—
1400#102—711no—
1401#102—711no—
1402#102—711no—
1403#102—711no—
1404#102—711no—
1405#102—711no—
1406#102—711no—
1407#102—711no—
1408#102—711no—
1409#102C22×D7111yescharacteristic
1410#102C22×D7111yescharacteristic
1411#102C22×D7111yescharacteristic
1412#102C22×D7111yescharacteristic
1413#102C22×D7111yescharacteristic
1414#102C22×D7111yescharacteristic
1415C22⋊C8—711no—
1416C22⋊C8—711no—
1417C22⋊C8—711no—
1418C22⋊C8—711no—
1419C22⋊C8—711no—
1420C22⋊C8—711no—
1421C22⋊C8C22×D7111yescharacteristic
1422C22⋊C8C22×D7111yescharacteristic, complemented
1423#97—711no—
1424#97C22×D7111yescharacteristic, complemented
1425C4×C8—711no—
1426C4×C8—711no—
1427C24—21no—
1428C24—2844no—
1429C24—2844no—
1430C24—5682no—
1431C24—711no—
1432C24—711no—
1433C24—1421no—
1434C24—1421no—
1435C24—1421no—
1436C24—1421no—
1437C24—1421no—
1438#41—22no—
1439#41—41no—
1440#41—2841no—
1441#41—2844no—
1442#41—2844no—
1443#41—2841no—
1444#41—2844no—
1445#41—2841no—
1446#41—1422no—
1447#41—1422no—
1448#41—1422no—
1449#41—1422no—
1450#41—1422no—
1451C2×Q8—21no—
1452C2×Q8—711no—
1453C2×Q8—1421no—
1454C2×Q8—1422no—
1455C2×Q8—1422no—
1456C2×Q8—1421no—
1457C2×Q8C23×D7111yescharacteristic
1458C2×Q8C23×D7111yescharacteristic
1459C2×D4—22no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—41no—
1464C2×D4—2841no—
1465C2×D4—2842no—
1466C2×D4—2844no—
1467C2×D4—2841no—
1468C2×D4—2841no—
1469C2×D4—2844no—
1470C2×D4—2844no—
1471C2×D4—2844no—
1472C2×D4—5682no—
1473C2×D4—711no—
1474C2×D4—714no—
1475C2×D4—711no—
1476C2×D4—711no—
1477C2×D4—711no—
1478C2×D4—711no—
1479C2×D4—711no—
1480C2×D4—1421no—
1481C2×D4—1421no—
1482C2×D4—1422no—
1483C2×D4—1421no—
1484C2×D4—1421no—
1485C2×D4—1421no—
1486C2×D4—1422no—
1487C2×D4—1422no—
1488C2×D4—1422no—
1489C2×D4—1421no—
1490C2×D4—1421no—
1491C2×D4—1421no—
1492C2×D4—1421no—
1493C2×D4—1422no—
1494C2×D4—1421no—
1495C2×D4—1421no—
1496C2×D4—1421no—
1497C2×D4—1421no—
1498C2×D4—1422no—
1499C2×D4—1421no—
1500C2×D4—1421no—
1501C2×D4—1421no—
1502C2×D4D4×D7111yescharacteristic
1503C2×D4C23×D7111yescharacteristic
1504C2×D4C23×D7111yescharacteristic
1505C22×C4—21no—
1506C22×C4—21no—
1507C22×C4—21no—
1508C22×C4—21no—
1509C22×C4—2844no—
1510C22×C4—5682no—
1511C22×C4—711no—
1512C22×C4—711no—
1513C22×C4—711no—
1514C22×C4—711no—
1515C22×C4—711no—
1516C22×C4—711no—
1517C22×C4—711no—
1518C22×C4—711no—
1519C22×C4—711no—
1520C22×C4—711no—
1521C22×C4—711no—
1522C22×C4—1421no—
1523C22×C4—1421no—
1524C22×C4—1421no—
1525C22×C4—1421no—
1526C22×C4—1421no—
1527C22×C4—1421no—
1528C22×C4—1422no—
1529C22×C4—1422no—
1530C22×C4—1422no—
1531C22×C4—1422no—
1532C22×C4—1421no—
1533C22×C4—1421no—
1534C22×C4—1421no—
1535C22×C4—1421no—
1536C22×C4—1421no—
1537C22×C4—1421no—
1538C22×C4—1421no—
1539C22×C4C23×D7111yescharacteristic
1540C22×C4C23×D7111yescharacteristic
1541Q16—41no—
1542Q16—2841no—
1543SD16—22no—
1544SD16—41no—
1545SD16—2841no—
1546SD16—2841no—
1547SD16—2841no—
1548SD16—1422no—
1549D8—2841no—
1550D8—2841no—
1551D8—1422no—
1552D8—1422no—
1553M16—41no—
1554M16—2841no—
1555M16—2841no—
1556M16—2841no—
1557M16—1422no—
1558M16—1422no—
1559M16—1422no—
1560M16—1422no—
1561C2×C8—41no—
1562C2×C8—2841no—
1563C2×C8—2841no—
1564C2×C8—2841no—
1565C2×C8—711no—
1566C2×C8—711no—
1567C2×C8—711no—
1568C2×C8—711no—
1569C2×C8C23×D7111yescharacteristic
1570C2×C8C23×D7111yescharacteristic
1571C2×C8C23×D7111yescharacteristic
1572C2×C8C23×D7111yescharacteristic
1573C4⋊C4—21no—
1574C4⋊C4—21no—
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—711no—
1581C4⋊C4—711no—
1582C4⋊C4—711no—
1583C4⋊C4—711no—
1584C4⋊C4—711no—
1585C4⋊C4—711no—
1586C4⋊C4—711no—
1587C4⋊C4—1421no—
1588C4⋊C4—1421no—
1589C4⋊C4—1421no—
1590C4⋊C4—1421no—
1591C4⋊C4—1421no—
1592C4⋊C4—1421no—
1593C4⋊C4—1421no—
1594C4⋊C4—1421no—
1595C4⋊C4—1421no—
1596C4⋊C4—1421no—
1597C4⋊C4—1421no—
1598C4⋊C4—1421no—
1599C4⋊C4—1421no—
1600C4⋊C4—1421no—
1601C4⋊C4D4×D7111yescharacteristic
1602C4⋊C4C23×D7111yescharacteristic
1603C4⋊C4C23×D7111yescharacteristic
1604C4⋊C4C23×D7111yescharacteristic
1605C4⋊C4C23×D7111yescharacteristic
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—711no—
1614C22⋊C4—711no—
1615C22⋊C4—711no—
1616C22⋊C4—711no—
1617C22⋊C4—711no—
1618C22⋊C4—711no—
1619C22⋊C4—1421no—
1620C22⋊C4—1421no—
1621C22⋊C4—1421no—
1622C22⋊C4—1421no—
1623C22⋊C4—1421no—
1624C22⋊C4—1421no—
1625C22⋊C4—1421no—
1626C22⋊C4—1421no—
1627C22⋊C4—1421no—
1628C22⋊C4—1421no—
1629C22⋊C4—1421no—
1630C22⋊C4—1421no—
1631C22⋊C4—1421no—
1632C22⋊C4—1421no—
1633C22⋊C4—1421no—
1634C22⋊C4—1421no—
1635C22⋊C4—1421no—
1636C22⋊C4—1421no—
1637C22⋊C4—1421no—
1638C22⋊C4—1421no—
1639C22⋊C4—1421no—
1640C22⋊C4—1421no—
1641C22⋊C4—1421no—
1642C22⋊C4—1421no—
1643C22⋊C4—1421no—
1644C22⋊C4—1421no—
1645C22⋊C4—1421no—
1646C22⋊C4—1421no—
1647C22⋊C4—1421no—
1648C22⋊C4—1421no—
1649C22⋊C4D4×D7111yescharacteristic
1650C22⋊C4D4×D7111yescharacteristic
1651C42—21no—
1652C42—711no—
1653C42—711no—
1654C42—711no—
1655C42—1421no—
1656C42—1421no—
1657C42—1421no—
1658C42—1421no—
1659C42—1421no—
1660C42—1421no—
1661C42—1421no—
1662C42—1421no—
1663C42C23×D7111yescharacteristic
1664C23—21no—
1665C23—21no—
1666C23—42no—
1667C23—42no—
1668C23—81no—
1669C23—2841no—
1670C23—2842no—
1671C23—2842no—
1672C23—2841no—
1673C23—2841no—
1674C23—2842no—
1675C23—2842no—
1676C23—2842no—
1677C23—2842no—
1678C23—2842no—
1679C23—2842no—
1680C23—2842no—
1681C23—2842no—
1682C23—2842no—
1683C23—5681no—
1684C23—5681no—
1685C23—5681no—
1686C23—56816no—
1687C23—711no—
1688C23—711no—
1689C23—711no—
1690C23—1424no—
1691C23—1422no—
1692C23—1422no—
1693C23—1421no—
1694C23—1421no—
1695C23—1421no—
1696C23—1422no—
1697C23C2×D4×D7111yescharacteristic
1698C23C2×D4×D7111yescharacteristic
1699Q8—21no—
1700Q8—21no—
1701Q8—21no—
1702Q8—21no—
1703Q8—81no—
1704Q8—2842no—
1705Q8—2842no—
1706Q8—1421no—
1707Q8—1421no—
1708D4—22no—
1709D4—21no—
1710D4—21no—
1711D4—21no—
1712D4—42no—
1713D4—42no—
1714D4—81no—
1715D4—2842no—
1716D4—2841no—
1717D4—2842no—
1718D4—2842no—
1719D4—2842no—
1720D4—2842no—
1721D4—2842no—
1722D4—2842no—
1723D4—2842no—
1724D4—2842no—
1725D4—2841no—
1726D4—2842no—
1727D4—5681no—
1728D4—5681no—
1729D4—5681no—
1730D4—5681no—
1731D4—5681no—
1732D4—712no—
1733D4—1424no—
1734D4—1422no—
1735D4—1421no—
1736D4—1421no—
1737D4—1421no—
1738D4—1421no—
1739D4—1421no—
1740D4#41×D7112yes—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—42no—
1752C2×C4—81no—
1753C2×C4—81no—
1754C2×C4—81no—
1755C2×C4—2842no—
1756C2×C4—2842no—
1757C2×C4—2841no—
1758C2×C4—2841no—
1759C2×C4—2842no—
1760C2×C4—2842no—
1761C2×C4—2842no—
1762C2×C4—2842no—
1763C2×C4—2842no—
1764C2×C4—2842no—
1765C2×C4—2842no—
1766C2×C4—5681no—
1767C2×C4—5681no—
1768C2×C4—5681no—
1769C2×C4—5681no—
1770C2×C4—711no—
1771C2×C4—712no—
1772C2×C4—712no—
1773C2×C4—711no—
1774C2×C4—711no—
1775C2×C4—711no—
1776C2×C4—711no—
1777C2×C4—1422no—
1778C2×C4—1422no—
1779C2×C4—1422no—
1780C2×C4—1422no—
1781C2×C4—1421no—
1782C2×C4—1421no—
1783C2×C4—1421no—
1784C2×C4—1421no—
1785C2×C4—1421no—
1786C2×C4—1422no—
1787C2×C4—1422no—
1788C2×C4—1421no—
1789C2×C4—1421no—
1790C2×C4—1421no—
1791C2×C4—1421no—
1792C2×C4C2×D4×D7111yescharacteristic
1793C2×C4C2×D4×D7111yescharacteristic
1794C2×C4C2×D4×D7111yescharacteristic
1795C2×C4C2×D4×D7111yescharacteristic
1796C2×C4C24×D7111yescharacteristic
1797C8—21no—
1798C8—21no—
1799C8—21no—
1800C8—21no—
1801C8—1421no—
1802C8—1421no—
1803C8—1421no—
1804C8—1421no—
1805C22—21no—
1806C22—21no—
1807C22—21no—
1808C22—22no—
1809C22—21no—
1810C22—21no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—84no—
1817C22—2844no—
1818C22—2848no—
1819C22—2841no—
1820C22—2841no—
1821C22—2841no—
1822C22—2841no—
1823C22—2841no—
1824C22—2841no—
1825C22—2841no—
1826C22—2841no—
1827C22—5684no—
1828C22—5684no—
1829C22—5682no—
1830C22—5684no—
1831C22—5684no—
1832C22—712no—
1833C22—1422no—
1834C22—1421no—
1835C22—1421no—
1836C22—1421no—
1837C22—1421no—
1838C22—1421no—
1839C22—1421no—
1840C22—1421no—
1841C22—1421no—
1842C22#1798679812yes—
1843C22C22×D4×D7111yescharacteristic
1844C4—21no—
1845C4—21no—
1846C4—21no—
1847C4—21no—
1848C4—41no—
1849C4—41no—
1850C4—41no—
1851C4—41no—
1852C4—41no—
1853C4—41no—
1854C4—2841no—
1855C4—2841no—
1856C4—2841no—
1857C4—2841no—
1858C4—2841no—
1859C4—712no—
1860C4—1421no—
1861C4—1421no—
1862C4—1421no—
1863C4—1421no—
1864C4C2×#41×D7111yescharacteristic
1865C4H(5,𝔽2)×D7111yescharacteristic
1866C2—22no—
1867C2—41no—
1868C2—42no—
1869C2—81no—
1870C2—2842no—
1871C2—2841no—
1872C2—2841no—
1873C2—5681no—
1874C2—5681no—
1875C2—1422no—
1876C2#546×D7111yescharacteristic
1877C2C2×#1798679811yescharacteristic
1878C2#2260311511yescharacteristic
subgroupG/H
centerC22C22×D4×D71
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#3314C2
socleC22×C71C23×D4
hypercenter#3314D71
hypocenterC71#61156
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3314

Complements

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

NH ≅ G/Ntype
1. #22601906C2semidirect
2. #546×D71C2semidirect
3. #22600551C2semidirect
4. #22600549C2semidirect
5. #22600544C2semidirect
6. #22600542C2semidirect
7. #22600495C2semidirect
8. #22600493C2semidirect
9. #22600415C2semidirect
10. #22600383C2semidirect
11. #22600381C2semidirect
12. #22600303C2semidirect
13. #22600301C2semidirect
14. #22600188C2semidirect
15. #22600186C2semidirect
16. #22600181C2semidirect
17. #22600179C2semidirect
18. #22598725C2semidirect
19. #22598285C2semidirect
20. #22598275C2semidirect
21. #22598132C2semidirect
22. #22597967C2semidirect
23. #22597954C2semidirect
24. #22597831C2semidirect
25. #22597583C2semidirect
26. #22597568C2semidirect
27. #22597145C2semidirect
28. #22597073C2semidirect
29. #22596856C2semidirect
30. C2×#17986002C2semidirect
31. C71×#3314C2semidirect
34. C2×#14556160C22semidirect
38. C2×M16×D71C22semidirect
39. #17986722C22semidirect
40. #17986715C22semidirect
41. #17986697C22semidirect
42. #17986697C22semidirect
43. #17986691C22semidirect
44. #17986691C22semidirect
48. #17986653C22semidirect
61. #17986554C22semidirect
67. #17986512C22semidirect
73. C4×#11765866C22semidirect
78. C2×#14556086C22semidirect
80. #17986361C22semidirect
81. #17986359C22semidirect
82. #17986358C22semidirect
83. #17986355C22semidirect
84. #17986355C22semidirect
85. #17986352C22semidirect
86. #17986352C22semidirect
87. #17986342C22semidirect
88. #17986342C22semidirect
89. #17986338C22semidirect
90. #17986338C22semidirect
91. #17986334C22semidirect
92. #17986330C22semidirect
93. #17986327C22semidirect
94. #17986326C22semidirect
95. #17986326C22semidirect
96. #17986322C22semidirect
97. #17986322C22semidirect
98. #17986318C22semidirect
99. #17986315C22semidirect
100. #17986312C22semidirect
101. #17986302C22semidirect
102. #17986302C22semidirect
103. #17986301C22semidirect
104. #17986301C22semidirect
105. #17986290C22semidirect
106. #17986289C22semidirect
107. #17986276C22semidirect
108. #17986256C22semidirect
109. #17986254C22semidirect
110. #17986252C22semidirect
111. #17986250C22semidirect
112. #17986248C22semidirect
113. #17986247C22semidirect
114. #17986246C22semidirect
115. #17986238C22semidirect
116. #17986236C22semidirect
117. #17986234C22semidirect
118. #17986231C22semidirect
119. #17986230C22semidirect
120. #17986228C22semidirect
121. #17986225C22semidirect
122. #17986223C22semidirect
123. #17986221C22semidirect
124. #17986219C22semidirect
125. #17986217C22semidirect
126. #17986215C22semidirect
127. #17986213C22semidirect
128. #17986211C22semidirect
129. #17986160C22semidirect
130. #17986159C22semidirect
131. #17986158C22semidirect
132. #17986149C22semidirect
133. #17986148C22semidirect
134. #17986148C22semidirect
135. #17986147C22semidirect
136. #17986146C22semidirect
137. #17986145C22semidirect
138. #17986144C22semidirect
139. #17986135C22semidirect
140. #17986134C22semidirect
141. #17986134C22semidirect
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. #17986040C22semidirect
160. #17986021C22semidirect
161. #17986006C22semidirect
162. #17986006C22semidirect
163. #17986006C22semidirect
170. #17986002C22semidirect
171. #17986002C22semidirect
172. #17986002C22semidirect
173. #17986002C22semidirect
174. #17986001C22semidirect
175. #17986000C22semidirect
176. #17985999C22semidirect
177. #17985998C22semidirect
178. #17985994C22semidirect
179. #17985994C22semidirect
180. #17985992C22semidirect
181. #17985992C22semidirect
182. C2×#14556050C22semidirect
183. C2×#14556049C22semidirect
184. C2×#14556048C22semidirect
186. #17985961C22semidirect
187. #17985951C22semidirect
188. #554×C71C22semidirect
190. #489×C71C22semidirect
191. #484×C71C22semidirect
192. #480×C71C22semidirect
193. #474×C71C22semidirect
194. #468×C71C22semidirect
195. #467×C71C22semidirect
196. #464×C71C22semidirect
197. #452×C71C22semidirect
198. #450×C71C22semidirect
199. #440×C71C22semidirect
200. #435×C71C22semidirect
201. #417×C71C22semidirect
202. C2×#102×C71C22semidirect
234. C2×#11765855C23semidirect
235. C2×#11765854C23semidirect
238. C2×#11765852C23semidirect
243. C2×#11765849C23semidirect
253. C2×C8×D71C23semidirect
254. C2×C8×D71C23semidirect
255. #14556128C23semidirect
264. #14556119C23semidirect
265. #14556119C23semidirect
298. #14556104C23semidirect
303. #14556103C23semidirect
309. #14556102C23semidirect
328. Q8×Dic71C23semidirect
334. C4×D284C23semidirect
342. #14556090C23semidirect
364. #14556086C23semidirect
365. #14556086C23semidirect
369. C2×C4⋊Dic71C23semidirect
393. #14556061C23semidirect
394. #14556061C23semidirect
395. #14556061C23semidirect
396. #14556060C23semidirect
397. #14556060C23semidirect
398. #14556060C23semidirect
399. #14556059C23semidirect
400. #14556059C23semidirect
401. #14556059C23semidirect
402. C4⋊(C71⋊C8)C23semidirect
403. Dic71⋊C8C23semidirect
404. Dic71⋊C8C23semidirect
405. #14556053C23semidirect
406. #14556053C23semidirect
407. #14556053C23semidirect
408. #14556052C23semidirect
409. #14556052C23semidirect
410. #14556052C23semidirect
411. #14556052C23semidirect
412. #14556051C23semidirect
413. #14556051C23semidirect
414. #14556051C23semidirect
421. #14556050C23semidirect
434. #14556048C23semidirect
436. C22⋊(C71⋊C8)C23semidirect
439. (C2×D71)⋊C8C23semidirect
440. (C2×D71)⋊C8C23semidirect
441. #14556039C23semidirect
442. C8×Dic71C23semidirect
443. C8×Dic71C23semidirect
446. C2×Q16×C71C23semidirect
449. C2×M16×C71C23semidirect
451. C4⋊Q8×C71C23semidirect
459. C22⋊Q8×C71C23semidirect
463. C4×Q8×C71C23semidirect
468. C2×C4⋊C4×C71C23semidirect
470. #107×C71C23semidirect
471. #107×C71C23semidirect
472. #107×C71C23semidirect
473. C4⋊C8×C71C23semidirect
474. #103×C71C23semidirect
475. #103×C71C23semidirect
476. #103×C71C23semidirect
477. #103×C71C23semidirect
485. C22⋊C8×C71C23semidirect
486. #97×C71C23semidirect
550. D4×D71#41semidirect
949. #3314D71semidirect
971. C71#61156semidirect
981. #554C2×D71semidirect
1025. #489C2×D71semidirect
1035. #484C2×D71semidirect
1045. #480C2×D71semidirect
1053. #474C2×D71semidirect
1061. #468C2×D71semidirect
1063. #467C2×D71semidirect
1073. #464C2×D71semidirect
1081. #452C2×D71semidirect
1085. #450C2×D71semidirect
1097. #440C2×D71semidirect
1107. #435C2×D71semidirect
1131. #417C2×D71semidirect
1139. C2×#102C2×D71semidirect
1177. C2×Q16C22×D71semidirect
1197. C2×M16C22×D71semidirect
1203. C4⋊Q8C22×D71semidirect
1254. C22⋊Q8C22×D71semidirect
1290. C4×Q8C22×D71semidirect
1337. C2×C4⋊C4C22×D71semidirect
1362. #107C22×D71semidirect
1363. #107C22×D71semidirect
1364. #107C22×D71semidirect
1374. C4⋊C8C22×D71semidirect
1385. #103C22×D71semidirect
1386. #103C22×D71semidirect
1387. #103C22×D71semidirect
1388. #103C22×D71semidirect
1422. C22⋊C8C22×D71semidirect
1424. #97C22×D71semidirect

Maximal subgroups

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

subgroupindex
#226019062
#546×D712
#226005512
#226005492
#226005442
#226005422
#226004952
#226004932
#226004152
#226003832
#226003812
#226003032
#226003012
#226001882
#226001862
#226001812
#226001792
#225987252
#225982852
#225982752
#225981322
#225979672
#225979542
#225978312
#225975832
#225975682
#225971452
#225970732
#225968562
C2×#179860022
C71×#33142
#6115671