Finite Group Databasebeta

← #32884016

Subgroups — #32884016

Order 18176.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602633C211yesmaximal, characteristic, complemented
2#22602001C211yesmaximal, characteristic, complemented
3#22600679C211yesmaximal, characteristic, complemented
4#22600610C211yesmaximal, characteristic, complemented
5#22600572C211yesmaximal, characteristic, complemented
6#22600543C211yesmaximal, characteristic, complemented
7#22600423C211yesmaximal, characteristic, complemented
8#22600408C211yesmaximal, characteristic, complemented
9#22600363C211yesmaximal, characteristic, complemented
10#22600348C211yesmaximal, characteristic, complemented
11#22600008C211yesmaximal, characteristic, complemented
12#22599998C211yesmaximal, characteristic, complemented
13#22599976C211yesmaximal, characteristic, complemented
14#22599942C211yesmaximal, characteristic, complemented
15#22599930C211yesmaximal, characteristic, complemented
16#22599900C211yesmaximal, characteristic, complemented
17#22599855C211yesmaximal, characteristic, complemented
18#22599840C211yesmaximal, characteristic, complemented
19#22599436C211yesmaximal, characteristic, complemented
20#22599414C211yesmaximal, characteristic, complemented
21#22599242C211yesmaximal, characteristic, complemented
22#22599224C211yesmaximal, characteristic, complemented
23#22599156C211yesmaximal, characteristic, complemented
24#22599147C211yesmaximal, characteristic, complemented
25#22598604C211yesmaximal, characteristic, complemented
26#22598556C211yesmaximal, characteristic, complemented
27#22597647C211yesmaximal, characteristic, complemented
28#22597619C211yesmaximal, characteristic, complemented
29#22597602C211yesmaximal, characteristic, complemented
30#22597585C211yesmaximal, characteristic, complemented
31C71×#2978C211yesmaximal, characteristic, complemented
32C2×#14556174C2211yescharacteristic
33C22×#11765865C2211yescharacteristic
34C2×#14556161C2211yescharacteristic, complemented
35C2×#14556161C2211yescharacteristic, complemented
36C2×#14556161C2211yescharacteristic, complemented
37C2×#14556161C2211yescharacteristic, complemented
38C2×#14556156C2211yescharacteristic, complemented
39C2×#14556156C2211yescharacteristic, complemented
40C2×#14556150C2211yescharacteristic, complemented
41C22×#11765854C2211yescharacteristic, complemented
42#17986750—21no—
43#17986744—21no—
44#17986719C2211yescharacteristic, complemented
45#17986706C2211yescharacteristic, complemented
46#17986703—21no—
47#17986695C2211yescharacteristic, complemented
48#17986692—21no—
49#17986689C2211yescharacteristic, complemented
50#17986670C2211yescharacteristic
51#17986670C2211yescharacteristic
52D4×Dic142C2211yescharacteristic, complemented
53#17986658C2211yescharacteristic
54#17986658C2211yescharacteristic
55#17986658C2211yescharacteristic, complemented
56#17986658C2211yescharacteristic, complemented
57#17986654C2211yescharacteristic, complemented
58#17986645C2211yescharacteristic
59#17986645C2211yescharacteristic
60#17986641—21no—
61#17986641—21no—
62D4×D284C2211yescharacteristic
63D4×D284C2211yescharacteristic
64#17986631—21no—
65#17986631—21no—
66#17986620C2211yescharacteristic, complemented
67#17986617—21no—
68#17986611C2211yescharacteristic, complemented
69#17986592—21no—
70#17986584—21no—
71#17986584—21no—
72#17986579—21no—
73#17986577C2211yescharacteristic
74#17986577C2211yescharacteristic, complemented
75#17986570C2211yescharacteristic, complemented
76#17986568C2211yescharacteristic
77#17986565—21no—
78#17986512—21no—
79#17986510C2211yescharacteristic, complemented
80C2×#14556107C2211yescharacteristic, complemented
81C2×#14556102C2211yescharacteristic
82#121×D71—21no—
83#17986479C2211yescharacteristic
84#17986393C2211yescharacteristic, complemented
85#17986388C2211yescharacteristic, complemented
86#17986383C2211yescharacteristic, complemented
87#17986372C2211yescharacteristic, complemented
88#17986364C2211yescharacteristic, complemented
89#17986359C2211yescharacteristic, complemented
90#17986354C2211yescharacteristic, complemented
91#17986346C2211yescharacteristic, complemented
92#17986341C2211yescharacteristic, complemented
93#17986335C2211yescharacteristic, complemented
94#17986335C2211yescharacteristic, complemented
95#17986335C2211yescharacteristic, complemented
96#17986330C2211yescharacteristic, complemented
97#17986324C2211yescharacteristic, complemented
98#17986324C2211yescharacteristic, complemented
99#17986324C2211yescharacteristic, complemented
100#17986313C2211yescharacteristic, complemented
101#17986313C2211yescharacteristic, complemented
102#17986313C2211yescharacteristic, complemented
103#17986313C2211yescharacteristic, complemented
104#17986307C2211yescharacteristic, complemented
105#17986300C2211yescharacteristic, complemented
106#17986295C2211yescharacteristic, complemented
107#17986280C2211yescharacteristic, complemented
108#17986257C2211yescharacteristic, complemented
109#17986252C2211yescharacteristic, complemented
110#17986252C2211yescharacteristic, complemented
111#17986245C2211yescharacteristic, complemented
112#17986245C2211yescharacteristic, complemented
113#17986245C2211yescharacteristic, complemented
114#17986245C2211yescharacteristic, complemented
115#17986245C2211yescharacteristic, complemented
116#17986245C2211yescharacteristic, complemented
117#17986245C2211yescharacteristic, complemented
118#17986245C2211yescharacteristic, complemented
119#17986245C2211yescharacteristic, complemented
120#17986240C2211yescharacteristic, complemented
121#17986240C2211yescharacteristic, complemented
122#17986235C2211yescharacteristic, complemented
123#17986228C2211yescharacteristic, complemented
124#17986222C2211yescharacteristic, complemented
125#17986222C2211yescharacteristic, complemented
126#17986222C2211yescharacteristic, complemented
127#17986222C2211yescharacteristic, complemented
128#17986215C2211yescharacteristic, complemented
129#17986215C2211yescharacteristic, complemented
130#17986210C2211yescharacteristic, complemented
131#17986205C2211yescharacteristic, complemented
132#17986200C2211yescharacteristic, complemented
133#17986200C2211yescharacteristic, complemented
134#17986200C2211yescharacteristic, complemented
135#17986195C2211yescharacteristic, complemented
136#17986163C2211yescharacteristic
137#17986163C2211yescharacteristic
138#17986163C2211yescharacteristic
139#17986163C2211yescharacteristic, complemented
140#17986163C2211yescharacteristic, complemented
141#17986163C2211yescharacteristic, complemented
142#17986163C2211yescharacteristic, complemented
143#17986163C2211yescharacteristic, complemented
144#17986163C2211yescharacteristic, complemented
145#17986163C2211yescharacteristic, complemented
146#17986163C2211yescharacteristic, complemented
147#17986163C2211yescharacteristic, complemented
148#17986157C2211yescharacteristic, complemented
149#17986157C2211yescharacteristic, complemented
150#17986157C2211yescharacteristic, complemented
151#17986152C2211yescharacteristic, complemented
152#17986152C2211yescharacteristic, complemented
153#17986152C2211yescharacteristic, complemented
154#17986152C2211yescharacteristic, complemented
155#17986152C2211yescharacteristic, complemented
156#17986152C2211yescharacteristic, complemented
157#17986152C2211yescharacteristic, complemented
158#17986152C2211yescharacteristic, complemented
159#17986146C2211yescharacteristic
160#17986146C2211yescharacteristic, complemented
161#17986146C2211yescharacteristic, complemented
162#17986146C2211yescharacteristic, complemented
163#17986146C2211yescharacteristic, complemented
164#17986146C2211yescharacteristic, complemented
165#17986146C2211yescharacteristic, complemented
166#17986146C2211yescharacteristic, complemented
167#17986140C2211yescharacteristic, complemented
168#17986140C2211yescharacteristic, complemented
169#17986140C2211yescharacteristic, complemented
170#17986135C2211yescharacteristic, complemented
171#17986135C2211yescharacteristic, complemented
172#17986107C2211yescharacteristic, complemented
173#17986101C2211yescharacteristic, complemented
174#17986101C2211yescharacteristic, complemented
175#17986101C2211yescharacteristic, complemented
176C4×Dic284C2211yescharacteristic, complemented
177C4×Dic284C2211yescharacteristic, complemented
178C4×#11765854C2211yescharacteristic, complemented
179C4×D568C2211yescharacteristic, complemented
180#17986009C2211yescharacteristic, complemented
181#17986005C2211yescharacteristic, complemented
182#17986005C2211yescharacteristic, complemented
183#17986001C2211yescharacteristic, complemented
184#17986001C2211yescharacteristic, complemented
185#17986001C2211yescharacteristic, complemented
186#17985996C2211yescharacteristic, complemented
187C2×#14556050C2211yescharacteristic, complemented
188#525×C71C2211yescharacteristic
189#436×C71C2211yescharacteristic, complemented
190#436×C71C2211yescharacteristic, complemented
191#436×C71C2211yescharacteristic, complemented
192#436×C71C2211yescharacteristic, complemented
193#435×C71C2211yescharacteristic, complemented
194#435×C71C2211yescharacteristic, complemented
195#435×C71C2211yescharacteristic, complemented
196#435×C71C2211yescharacteristic, complemented
197#433×C71C2211yescharacteristic, complemented
198#433×C71C2211yescharacteristic, complemented
199#408×C71C2211yescharacteristic, complemented
200#408×C71C2211yescharacteristic, complemented
201#407×C71C2211yescharacteristic, complemented
202#407×C71C2211yescharacteristic, complemented
203#14556174—42no—
204#14556174—42no—
205C2×#11765866—21no—
206C2×#11765865—21no—
207C2×#11765865—21no—
208C2×#11765865—42no—
209C2×#11765865—42no—
210C2×#11765865C2311yescharacteristic
211C2×#11765865C2311yescharacteristic
212C2×#11765865C2311yescharacteristic
213C2×#11765865C2311yescharacteristic
214C2×#11765865C2311yescharacteristic
215C2×#11765865C2311yescharacteristic
216C2×#11765865C2311yescharacteristic
217C2×#11765865C2311yescharacteristic
218C22×Dic142C2311yescharacteristic
219C22×Dic142C2311yescharacteristic
220C22×Dic142C2311yescharacteristic
221C22×D284C2311yescharacteristic
222C22×D284C2311yescharacteristic
223C22×D284C2311yescharacteristic
224C22×D284C2311yescharacteristic
225C22×C22⋊D71—21no—
226C22×C22⋊D71—21no—
227C2×D4×D71—21no—
228C2×D4×D71—21no—
229C2×D4×D71—21no—
230C2×D4×D71—21no—
231C2×D4×D71—21no—
232C22×C4×D71—21no—
233#14556161—42no—
234#14556161—42no—
235#14556161—42no—
236#14556161—42no—
237#14556156—42no—
238#14556156—42no—
239#14556150—42no—
240C2×Dic284C2311yescharacteristic
241C2×Dic284C2311yescharacteristic
242C2×Dic284C2311yescharacteristic
243C2×Dic284C2311yescharacteristic
244C2×Dic284C2311yescharacteristic
245C2×Dic284C2311yescharacteristic
246C2×#11765854—42no—
247C2×#11765854C2311yescharacteristic
248C2×#11765854C2311yescharacteristic
249C2×#11765854C2311yescharacteristic
250C2×#11765854C2311yescharacteristic
251C2×#11765854C2311yescharacteristic
252C2×#11765854C2311yescharacteristic
253C2×#11765854C2311yescharacteristic
254C2×#11765854C2311yescharacteristic
255C2×#11765854C2311yescharacteristic
256C2×#11765854C2311yescharacteristic
257C2×#11765854C2311yescharacteristic
258C2×#11765854C2311yescharacteristic
259C2×#11765854C2311yescharacteristic
260C2×#11765854C2311yescharacteristic
261C2×D568C2311yescharacteristic
262C2×D568C2311yescharacteristic
263C2×D568C2311yescharacteristic
264C2×D568C2311yescharacteristic
265#14556128C2311yescharacteristic
266#14556128C2311yescharacteristic
267#14556127—21no—
268#14556126—21no—
269#14556125C2311yescharacteristic
270#14556125C2311yescharacteristic
271#14556124—21no—
272#14556124—21no—
273#14556123—21no—
274#14556123—21no—
275#14556121—21no—
276#14556121—21no—
277#14556121—21no—
278#14556121—21no—
279#14556121—21no—
280#14556120C2311yescharacteristic
281#14556119—21no—
282#14556118—21no—
283#14556118—21no—
284#14556118—21no—
285#14556116C2311yescharacteristic
286#14556116C2311yescharacteristic
287#14556116C2311yescharacteristic
288#14556115—21no—
289#14556115—21no—
290#14556114—21no—
291#14556114—21no—
292#14556114—21no—
293#14556114—21no—
294#14556114—21no—
295#14556113—21no—
296#14556113—21no—
297#14556111—21no—
298#14556110—21no—
299#14556110—21no—
300#14556110—21no—
301#14556110—21no—
302#14556109—21no—
303#14556109—21no—
304#14556109—21no—
305#14556107—21no—
306#14556107—21no—
307#14556107C2311yescharacteristic
308#14556107C2311yescharacteristic
309#14556107C2311yescharacteristic
310#14556107C2311yescharacteristic
311#14556107C2311yescharacteristic
312#14556107C2311yescharacteristic
313#14556107C2311yescharacteristic
314#14556107C2311yescharacteristic
315#14556107C2311yescharacteristic
316#14556107C2311yescharacteristic
317#14556107C2311yescharacteristic
318#14556106—21no—
319#14556106—21no—
320#14556106—21no—
321#14556106—21no—
322#14556106—21no—
323#14556105—21no—
324#14556105—21no—
325#14556105—21no—
326#14556105—21no—
327#14556104—21no—
328#14556104—21no—
329#14556103—21no—
330#14556103—21no—
331#14556103—21no—
332#14556103—21no—
333#14556102—21no—
334#14556102—21no—
335#14556102C2311yescharacteristic
336#14556102C2311yescharacteristic
337#14556102C2311yescharacteristic
338#14556102C2311yescharacteristic
339#14556102C2311yescharacteristic
340#14556102C2311yescharacteristic
341#14556102C2311yescharacteristic
342#14556102C2311yescharacteristic
343#14556102C2311yescharacteristic
344#14556101—21no—
345#14556101—21no—
346#14556101—21no—
347#14556101—21no—
348#14556101—21no—
349#14556101—21no—
350#14556100—21no—
351#14556100—21no—
352#14556100—21no—
353#14556100—21no—
354#14556100—21no—
355#14556100—21no—
356#14556100—21no—
357#14556100—21no—
358#14556100—21no—
359#14556099—21no—
360#14556099—21no—
361#14556099—21no—
362#14556098—21no—
363#14556098—21no—
364#14556098—21no—
365#14556098—21no—
366#14556098—21no—
367#14556098—21no—
368#14556097—21no—
369#14556096—21no—
370#14556096—21no—
371C4×Dic142C2311yescharacteristic
372C4×Dic142C2311yescharacteristic
373C4×Dic142C2311yescharacteristic
374C4×Dic142C2311yescharacteristic
375C4×Dic142C2311yescharacteristic
376#14556093—21no—
377C4×D284C2311yescharacteristic
378C4×D284C2311yescharacteristic
379C4×D284C2311yescharacteristic
380D4×Dic71—21no—
381D4×Dic71—21no—
382#14556090—21no—
383#14556090—21no—
384C4×C22⋊D71—21no—
385C4×C22⋊D71—21no—
386(C22⋊D71)⋊C4—21no—
387(C22⋊D71)⋊C4—21no—
388(C22⋊D71)⋊C4—21no—
389(C22⋊D71)⋊C4—21no—
390(C22⋊D71)⋊C4—21no—
391(C22⋊D71)⋊C4—21no—
392(C22⋊D71)⋊C4—21no—
393#14556087C2311yescharacteristic
394#14556087C2311yescharacteristic
395#14556086—21no—
396#14556084—21no—
397C2×C4⋊Dic71C2311yescharacteristic
398C2×C4⋊Dic71C2311yescharacteristic
399C2×C4⋊Dic71C2311yescharacteristic
400C2×Dic71⋊C4—21no—
401C4⋊C4×D71—21no—
402C4⋊C4×D71—21no—
403C2×C22⋊Dic71—21no—
404C2×(C2×D71)⋊C4—21no—
405C22⋊C4×D71—21no—
406C22⋊C4×D71—21no—
407#14556062C2311yescharacteristic
408#14556062C2311yescharacteristic
409#14556062C2311yescharacteristic
410#14556062C2311yescharacteristic
411#14556062C2311yescharacteristic
412#14556062C2311yescharacteristic
413#14556060C2311yescharacteristic
414#14556060C2311yescharacteristic
415#14556053C2311yescharacteristic
416#14556053C2311yescharacteristic
417#14556053C2311yescharacteristic
418#14556053C2311yescharacteristic
419#14556053C2311yescharacteristic
420#14556053C2311yescharacteristic
421#14556053C2311yescharacteristic
422#14556053C2311yescharacteristic
423#14556053C2311yescharacteristic
424#14556053C2311yescharacteristic
425#14556053C2311yescharacteristic
426#14556053C2311yescharacteristic
427#14556053C2311yescharacteristic
428#14556053C2311yescharacteristic
429#14556050C2311yescharacteristic
430#14556050C2311yescharacteristic
431#14556050C2311yescharacteristic
432#14556050C2311yescharacteristic
433#14556050C2311yescharacteristic
434#14556050C2311yescharacteristic
435#14556050C2311yescharacteristic
436#14556050C2311yescharacteristic
437#14556050C2311yescharacteristic
438#14556050C2311yescharacteristic
439#14556050C2311yescharacteristic
440#14556050C2311yescharacteristic
441#14556050C2311yescharacteristic
442#14556050C2311yescharacteristic
443#14556050C2311yescharacteristic
444#14556050C2311yescharacteristic
445#14556050C2311yescharacteristic
446#14556050C2311yescharacteristic
447C2×#41×C71C2311yescharacteristic
448C23×C4×C71C2311yescharacteristic
449C2×M16×C71C2311yescharacteristic
450C2×M16×C71C2311yescharacteristic
451C2×M16×C71C2311yescharacteristic
452C2×M16×C71C2311yescharacteristic
453C2×M16×C71C2311yescharacteristic
454C2×M16×C71C2311yescharacteristic
455C22×C8×C71C2311yescharacteristic
456C22×C8×C71C2311yescharacteristic
457#123×C71D411yescharacteristic
458#123×C71D411yescharacteristic
459C22⋊Q8×C71D411yescharacteristic
460C22⋊Q8×C71D411yescharacteristic
461#121×C71D411yescharacteristic
462#121×C71D411yescharacteristic
463#120×C71D411yescharacteristic
464#120×C71D411yescharacteristic
465C4×D4×C71C2311yescharacteristic
466C4×D4×C71C2311yescharacteristic
467C4×D4×C71C2311yescharacteristic
468C4×D4×C71C2311yescharacteristic
469#117×C71C2311yescharacteristic
470C4⋊C8×C71C2311yescharacteristic
471C4⋊C8×C71C2311yescharacteristic
472C4⋊C8×C71C2311yescharacteristic
473C4⋊C8×C71C2311yescharacteristic
474C22⋊C8×C71C2311yescharacteristic
475C22⋊C8×C71C2311yescharacteristic
476C22⋊C8×C71C2311yescharacteristic
477C22⋊C8×C71C2311yescharacteristic
478C22⋊C8×C71C2311yescharacteristic
479C22⋊C8×C71C2311yescharacteristic
480C22⋊C8×C71C2311yescharacteristic
481C22⋊C8×C71C2311yescharacteristic
482C22⋊C8×C71C2311yescharacteristic
483C22⋊C8×C71C2311yescharacteristic
484C22⋊C8×C71C2311yescharacteristic
485C22⋊C8×C71C2311yescharacteristic
486#97×C71C2311yescharacteristic
487#97×C71C2311yescharacteristic
488C4×C8×C71C2311yescharacteristic
489C4×C8×C71C2311yescharacteristic
490C23×D71—21no—
491C23×D71—21no—
492C23×D71—21no—
493C23×D71—21no—
494#11765866—44no—
495#11765865—22no—
496#11765865—22no—
497#11765865—22no—
498#11765865—22no—
499#11765865—22no—
500#11765865—22no—
501#11765865—41no—
502#11765865—41no—
503#11765865—41no—
504#11765865—41no—
505#11765865—41no—
506#11765865—41no—
507#11765865—41no—
508#11765865—41no—
509#11765865—41no—
510#11765865—41no—
511#11765865—44no—
512#11765865—44no—
513C2×Dic142—22no—
514C2×Dic142—21no—
515C2×Dic142—21no—
516C2×Dic142—21no—
517C2×Dic142—21no—
518C2×Dic142—41no—
519C2×Dic142—41no—
520C2×Dic142—41no—
521C2×Dic142—41no—
522C2×Dic142—41no—
523C2×Dic142C2411yescharacteristic
524C2×Dic142C2411yescharacteristic
525C2×Dic142C2411yescharacteristic
526C2×Dic142C2411yescharacteristic
527C2×Dic142C2411yescharacteristic
528C2×D284—22no—
529C2×D284—22no—
530C2×D284—22no—
531C2×D284—21no—
532C2×D284—21no—
533C2×D284—21no—
534C2×D284—21no—
535C2×D284—21no—
536C2×D284—21no—
537C2×D284—21no—
538C2×D284—21no—
539C2×D284—41no—
540C2×D284—41no—
541C2×D284—41no—
542C2×D284—41no—
543C2×D284—41no—
544C2×D284C2411yescharacteristic
545C2×D284C2411yescharacteristic
546C2×D284C2411yescharacteristic
547C2×D284C2411yescharacteristic
548C2×D284C2411yescharacteristic
549C2×C22⋊D71—21no—
550C2×C22⋊D71—21no—
551C2×C22⋊D71—21no—
552C2×C22⋊D71—21no—
553C2×C22⋊D71—21no—
554C2×C22⋊D71—21no—
555C2×C22⋊D71—21no—
556C2×C22⋊D71—21no—
557C2×C22⋊D71—21no—
558C2×C22⋊D71—21no—
559C2×C22⋊D71—21no—
560C2×C22⋊D71—21no—
561C2×C22⋊D71—21no—
562C2×C22⋊D71—21no—
563C2×C22⋊D71—21no—
564C2×C22⋊D71—21no—
565C2×C22⋊D71—21no—
566C2×C22⋊D71—44no—
567C2×C22⋊D71—82no—
568D4×D71—44no—
569D4×D71—44no—
570D4×D71—44no—
571D4×D71—82no—
572D4×D71—82no—
573C22×Dic71—21no—
574C22×Dic71—21no—
575C22×Dic71—21no—
576C22×Dic71—21no—
577C22×Dic71—21no—
578C22×Dic71—21no—
579C2×C4×D71—21no—
580C2×C4×D71—21no—
581C2×C4×D71—21no—
582C2×C4×D71—21no—
583C2×C4×D71—21no—
584C2×C4×D71—21no—
585C2×C4×D71—21no—
586C2×C4×D71—21no—
587C2×C4×D71—21no—
588C2×C4×D71—21no—
589C2×C4×D71—21no—
590C2×C4×D71—44no—
591Dic284—22no—
592Dic284—22no—
593Dic284—22no—
594Dic284—41no—
595Dic284—41no—
596Dic284—41no—
597#11765854—22no—
598#11765854—22no—
599#11765854—22no—
600#11765854—22no—
601#11765854—41no—
602#11765854—41no—
603#11765854—41no—
604#11765854—41no—
605#11765854—41no—
606#11765854—41no—
607#11765854—41no—
608#11765854—41no—
609#11765854—41no—
610#11765854—41no—
611D568—22no—
612D568—41no—
613D568—41no—
614D568—41no—
615C4⋊Dic71—21no—
616C4⋊Dic71—21no—
617C4⋊Dic71—21no—
618C4⋊Dic71—21no—
619C4⋊Dic71—21no—
620C4⋊Dic71—21no—
621C4⋊Dic71C2411yescharacteristic
622C4⋊Dic71C2411yescharacteristic
623C4⋊Dic71C2411yescharacteristic
624C4⋊Dic71C2411yescharacteristic
625C4⋊Dic71C2411yescharacteristic
626C4⋊Dic71C2411yescharacteristic
627Dic71⋊C4—21no—
628Dic71⋊C4—21no—
629Dic71⋊C4—21no—
630Dic71⋊C4—21no—
631Dic71⋊C4—21no—
632Dic71⋊C4—21no—
633Dic71⋊C4—21no—
634Dic71⋊C4—21no—
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⋊C4—21no—
645C22⋊Dic71—21no—
646C22⋊Dic71—21no—
647C22⋊Dic71—21no—
648C22⋊Dic71—21no—
649C22⋊Dic71—21no—
650C22⋊Dic71—21no—
651C22⋊Dic71—21no—
652C22⋊Dic71—21no—
653C22⋊Dic71—21no—
654C22⋊Dic71—21no—
655C22⋊Dic71—21no—
656C22⋊Dic71—21no—
657C22⋊Dic71—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)⋊C4—21no—
672(C2×D71)⋊C4—21no—
673(C2×D71)⋊C4—21no—
674(C2×D71)⋊C4—21no—
675(C2×D71)⋊C4—21no—
676C4×Dic71—21no—
677C4×Dic71—21no—
678C4×Dic71—21no—
679C4×Dic71—21no—
680C4×Dic71—21no—
681C4×Dic71—21no—
682C4×Dic71—21no—
683C24×C71C2×D411yescharacteristic
684#41×C71—41no—
685#41×C71—41no—
686C2×Q8×C71C2×D411yescharacteristic
687C2×D4×C71C2×D411yescharacteristic
688C2×D4×C71C2×D411yescharacteristic
689C2×D4×C71C2×D411yescharacteristic
690C2×D4×C71C2×D411yescharacteristic
691C2×D4×C71C2×D411yescharacteristic
692C2×D4×C71C2×D411yescharacteristic
693C2×D4×C71C2×D411yescharacteristic
694C22×C4×C71—41no—
695C22×C4×C71—41no—
696C22×C4×C71C2×D411yescharacteristic
697C22×C4×C71C2×D411yescharacteristic
698C22×C4×C71C2×D411yescharacteristic
699C22×C4×C71C2411yescharacteristic
700C22×C4×C71C2411yescharacteristic
701C22×C4×C71C2411yescharacteristic
702C22×C4×C71C2411yescharacteristic
703C22×C4×C71C2411yescharacteristic
704M16×C71—41no—
705M16×C71—41no—
706M16×C71—41no—
707M16×C71—41no—
708M16×C71—41no—
709M16×C71—41no—
710C2×C8×C71—41no—
711C2×C8×C71—41no—
712C2×C8×C71C2411yescharacteristic
713C2×C8×C71C2411yescharacteristic
714C2×C8×C71C2411yescharacteristic
715C2×C8×C71C2411yescharacteristic
716C2×C8×C71C2411yescharacteristic
717C2×C8×C71C2411yescharacteristic
718C2×C8×C71C2411yescharacteristic
719C2×C8×C71C2411yescharacteristic
720C4⋊C4×C71C2×D411yescharacteristic
721C4⋊C4×C71C2×D411yescharacteristic
722C4⋊C4×C71C2×D411yescharacteristic
723C4⋊C4×C71C2×D411yescharacteristic
724C4⋊C4×C71C2×D411yescharacteristic
725C4⋊C4×C71C2×D411yescharacteristic
726C22⋊C4×C71C2×D411yescharacteristic
727C22⋊C4×C71C2×D411yescharacteristic
728C22⋊C4×C71C2×D411yescharacteristic
729C22⋊C4×C71C2×D411yescharacteristic
730C22⋊C4×C71C2×D411yescharacteristic
731C22⋊C4×C71C2×D411yescharacteristic
732C22⋊C4×C71C2×D411yescharacteristic
733C22⋊C4×C71C2×D411yescharacteristic
734C22⋊C4×C71C2×D411yescharacteristic
735C22⋊C4×C71C2×D411yescharacteristic
736C42×C71C2411yescharacteristic
737C42×C71C2411yescharacteristic
738C23×C71—41no—
739C23×C71—41no—
740C23×C71—41no—
741C23×C71C22×D411yescharacteristic
742C23×C71C22×D411yescharacteristic
743C23×C71C22×D411yescharacteristic
744C23×C71C22×D411yescharacteristic
745C23×C71C22×D411yescharacteristic
746C22×D71—21no—
747C22×D71—21no—
748C22×D71—21no—
749C22×D71—21no—
750C22×D71—21no—
751C22×D71—42no—
752C22×D71—42no—
753C22×D71—42no—
754C22×D71—42no—
755C22×D71—42no—
756C22×D71—81no—
757C22×D71—81no—
758C22×D71—81no—
759C22×D71—81no—
760C22×D71—81no—
761C22×D71—81no—
762C22×D71—81no—
763Q8×C71—41no—
764D4×C71—41no—
765D4×C71—41no—
766D4×C71—41no—
767D4×C71—41no—
768D4×C71—41no—
769D4×C71—41no—
770D4×C71—41no—
771C2×C4×C71—21no—
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—41no—
782C2×C4×C71—41no—
783C2×C4×C71—41no—
784C2×C4×C71C22×D411yescharacteristic
785C2×C4×C71C22×D411yescharacteristic
786C2×C4×C71C22×D411yescharacteristic
787C2×C4×C71C22×D411yescharacteristic
788C2×C4×C71C22×D411yescharacteristic
789C2×C4×C71C22×D411yescharacteristic
790C2×C4×C71C22×D411yescharacteristic
791C2×C4×C71C22×D411yescharacteristic
792C2×C4×C71C22×D411yescharacteristic
793C2×C4×C71C2511yescharacteristic
794C22⋊D71—24no—
795C22⋊D71—42no—
796C22⋊D71—42no—
797C22⋊D71—42no—
798C22⋊D71—42no—
799C22⋊D71—42no—
800C22⋊D71—42no—
801C22⋊D71—42no—
802C22⋊D71—42no—
803C22⋊D71—81no—
804C22⋊D71—81no—
805C22⋊D71—81no—
806C22⋊D71—81no—
807C22⋊D71—81no—
808C22⋊D71—81no—
809C22⋊D71—81no—
810C22⋊D71—81no—
811C2×Dic71—21no—
812C2×Dic71—21no—
813C2×Dic71—21no—
814C2×Dic71—21no—
815C2×Dic71—21no—
816C2×Dic71—21no—
817C2×Dic71—21no—
818C2×Dic71—21no—
819C2×Dic71—21no—
820C2×Dic71—21no—
821C2×Dic71—21no—
822C2×Dic71—42no—
823C2×Dic71—81no—
824C2×Dic71—81no—
825C2×Dic71—81no—
826C2×Dic71—81no—
827C2×Dic71—81no—
828D284—21no—
829D284—21no—
830D284—21no—
831D284—21no—
832D284—21no—
833D284—21no—
834D284—21no—
835D284—21no—
836D284—21no—
837D284—42no—
838D284—42no—
839D284—42no—
840D284—42no—
841D284—81no—
842D284—81no—
843D284—81no—
844D284—81no—
845D284H(5,𝔽2)12yes—
846C4×D71—24no—
847C4×D71—42no—
848C4×D71—42no—
849C4×D71—42no—
850C4×D71—42no—
851C4×D71—42no—
852C4×D71—81no—
853C4×D71—81no—
854C4×D71—81no—
855C4×D71—81no—
856C4×D71—81no—
857Dic142—21no—
858Dic142—21no—
859Dic142—21no—
860Dic142—21no—
861Dic142—21no—
862Dic142—21no—
863Dic142—21no—
864Dic142—21no—
865Dic142—21no—
866Dic142—42no—
867Dic142—81no—
868Dic142—81no—
869Dic142—81no—
870Dic142H(5,𝔽2)12yes—
871C8×C71—21no—
872C8×C71—21no—
873C8×C71—21no—
874C8×C71—21no—
875C8×C71—21no—
876C8×C71—21no—
877C8×C71—21no—
878C8×C71—21no—
879C22×C71—21no—
880C22×C71—21no—
881C22×C71—21no—
882C22×C71—21no—
883C22×C71—21no—
884C22×C71—21no—
885C22×C71—21no—
886C22×C71—21no—
887C22×C71—21no—
888C22×C71—21no—
889C22×C71—21no—
890C22×C71—21no—
891C22×C71—21no—
892C22×C71—21no—
893C22×C71—21no—
894C22×C71—82no—
895C22×C71C23×D411yescharacteristic
896C2×D71—22no—
897C2×D71—41no—
898C2×D71—41no—
899C2×D71—41no—
900C2×D71—41no—
901C2×D71—41no—
902C2×D71—41no—
903C2×D71—41no—
904C2×D71—41no—
905C2×D71—41no—
906C2×D71—41no—
907C2×D71—41no—
908C2×D71—41no—
909C2×D71—41no—
910C2×D71—41no—
911C2×D71—84no—
912C2×D71—162no—
913C2×D71—162no—
914C2×D71—162no—
915C4×C71—21no—
916C4×C71—21no—
917C4×C71—21no—
918C4×C71—21no—
919C4×C71—21no—
920C4×C71—21no—
921C4×C71—21no—
922C4×C71—21no—
923C4×C71—21no—
924C4×C71C2×H(5,𝔽2)11yescharacteristic
925C4×C71C2×H(5,𝔽2)11yescharacteristic
926Dic71—22no—
927Dic71—41no—
928Dic71—41no—
929Dic71—41no—
930Dic71—41no—
931Dic71—41no—
932Dic71—41no—
933Dic71—41no—
934Dic71—41no—
935Dic71—41no—
936Dic71—41no—
937#61654—711nomaximal, Sylow
938C2×C71—41no—
939C2×C71—41no—
940C2×C71—41no—
941C2×C71—41no—
942C2×C71—41no—
943C2×C71#348411yescharacteristic
944C2×C71#358511yescharacteristic
945C2×C71#358611yescharacteristic
946D71—42no—
947D71—81no—
948D71—81no—
949D71—81no—
950D71—81no—
951#3541—711no—
952#3488—711no—
953#3333—711no—
954#3327—711no—
955#3324—711no—
956#3322—711no—
957#3314—711no—
958#3313—711no—
959#3310—711no—
960#3309—711no—
961#3278—711no—
962#3277—711no—
963#3275—711no—
964#3272—711no—
965#3271—711no—
966#3269—711no—
967#3266—711no—
968#3265—711no—
969#3224—711no—
970#3222—711no—
971#3203—711no—
972#3201—711no—
973#3194—711no—
974#3193—711no—
975#3124—711no—
976#3120—711no—
977#3012—711no—
978#3009—711no—
979#3007—711no—
980#3005—711no—
981#2978D7111yescharacteristic, complemented
982C71#6165411yescharacteristic, complemented, Sylow
983C2×H(5,𝔽2)—711no—
984C22×#41—711no—
985C2×#137—711no—
986C2×#137—711no—
987C2×#137—711no—
988C2×#137—711no—
989C2×AGL(1,ℤ/8)—711no—
990C2×AGL(1,ℤ/8)—711no—
991C2×#135—711no—
992C22×SD16—711no—
993#563—1421no—
994#562—1421no—
995#556—711no—
996#554—711no—
997#554—1421no—
998#553—711no—
999#553—1421no—
1000#552—711no—
1001#550—711no—
1002#550—711no—
1003D4×Q8—711no—
1004#548—711no—
1005#548—711no—
1006#548—711no—
1007#548—711no—
1008#547—711no—
1009#546—711no—
1010#546—711no—
1011#546—1421no—
1012#546—1421no—
1013D42—711no—
1014D42—711no—
1015D42—1421no—
1016D42—1421no—
1017#542—711no—
1018#542—1421no—
1019#541—711no—
1020#539—1421no—
1021#538—1421no—
1022#538—1421no—
1023#537—711no—
1024#537—711no—
1025#537—1421no—
1026#536—711no—
1027#535—711no—
1028#535—1421no—
1029#525—711no—
1030#525—1421no—
1031#525C2×D7111yescharacteristic
1032C2×C22⋊Q8—711no—
1033C2×#121—711no—
1034C2×#121—1421no—
1035#520—711no—
1036#497—711no—
1037#496—711no—
1038#495—711no—
1039#492—711no—
1040#490—711no—
1041#489—711no—
1042#488—711no—
1043#486—711no—
1044#485—711no—
1045#484—711no—
1046#484—711no—
1047#484—711no—
1048#483—711no—
1049#482—711no—
1050#482—711no—
1051#482—711no—
1052#480—711no—
1053#480—711no—
1054#480—711no—
1055#480—711no—
1056#479—711no—
1057#478—711no—
1058#477—711no—
1059#474—711no—
1060#470—711no—
1061#469—711no—
1062#469—711no—
1063#468—711no—
1064#468—711no—
1065#468—711no—
1066#468—711no—
1067#468—711no—
1068#468—711no—
1069#468—711no—
1070#468—711no—
1071#468—711no—
1072#467—711no—
1073#467—711no—
1074#466—711no—
1075#465—711no—
1076#464—711no—
1077#464—711no—
1078#464—711no—
1079#464—711no—
1080#463—711no—
1081#463—711no—
1082#462—711no—
1083#461—711no—
1084#460—711no—
1085#460—711no—
1086#460—711no—
1087#459—711no—
1088#452—711no—
1089#452—711no—
1090#452—711no—
1091#452—711no—
1092#452—711no—
1093#452—711no—
1094#452—711no—
1095#452—711no—
1096#452—711no—
1097#452—711no—
1098#452—711no—
1099#452—711no—
1100#451—711no—
1101#451—711no—
1102#451—711no—
1103#450—711no—
1104#450—711no—
1105#450—711no—
1106#450—711no—
1107#450—711no—
1108#450—711no—
1109#450—711no—
1110#450—711no—
1111#449—711no—
1112#449—711no—
1113#449—711no—
1114#449—711no—
1115#449—711no—
1116#449—711no—
1117#449—711no—
1118#449—711no—
1119#448—711no—
1120#448—711no—
1121#448—711no—
1122#447—711no—
1123#447—711no—
1124#441—711no—
1125#440—711no—
1126#440—711no—
1127#440—711no—
1128C4×Q16—711no—
1129C4×Q16—711no—
1130C4×SD16—711no—
1131C4×D8—711no—
1132#436C2×D7111yescharacteristic, complemented
1133#436C2×D7111yescharacteristic, complemented
1134#436C2×D7111yescharacteristic, complemented
1135#436C2×D7111yescharacteristic, complemented
1136#435C2×D7111yescharacteristic, complemented
1137#435C2×D7111yescharacteristic, complemented
1138#435C2×D7111yescharacteristic, complemented
1139#435C2×D7111yescharacteristic, complemented
1140#433C2×D7111yescharacteristic, complemented
1141#433C2×D7111yescharacteristic, complemented
1142#419—711no—
1143#418—711no—
1144#418—711no—
1145#417—711no—
1146#417—711no—
1147#417—711no—
1148#416—711no—
1149C2×#102—711no—
1150#408C2×D7111yescharacteristic, complemented
1151#408C2×D7111yescharacteristic, complemented
1152#407C2×D7111yescharacteristic, complemented
1153#407C2×D7111yescharacteristic, complemented
1154H(5,𝔽2)—2842no—
1155H(5,𝔽2)—2842no—
1156C2×#41—2842no—
1157C2×#41—2842no—
1158C2×#41—711no—
1159C2×#41—711no—
1160C2×#41—711no—
1161C2×#41—711no—
1162C2×#41—711no—
1163C2×#41—711no—
1164C2×#41—711no—
1165C2×#41—711no—
1166C2×#41—1421no—
1167C2×#41—1421no—
1168C2×#41—1421no—
1169C2×#41C22×D7111yescharacteristic
1170C22×Q8—711no—
1171C22×Q8—711no—
1172C22×Q8—711no—
1173C22×D4—711no—
1174C22×D4—711no—
1175C22×D4—711no—
1176C22×D4—711no—
1177C22×D4—1421no—
1178C22×D4—1421no—
1179C22×D4—1421no—
1180C22×D4—1421no—
1181C22×D4—1421no—
1182C22×D4—1421no—
1183C22×D4—1421no—
1184C23×C4—1421no—
1185C23×C4C22×D7111yescharacteristic
1186#137—2842no—
1187#137—2842no—
1188#137—2842no—
1189#137—2842no—
1190AGL(1,ℤ/8)—2842no—
1191AGL(1,ℤ/8)—2842no—
1192#135—2842no—
1193C2×Q16—711no—
1194C2×Q16—711no—
1195C2×Q16—711no—
1196C2×Q16—711no—
1197C2×Q16—711no—
1198C2×Q16—711no—
1199C2×SD16—2842no—
1200C2×SD16—711no—
1201C2×SD16—711no—
1202C2×SD16—711no—
1203C2×SD16—711no—
1204C2×SD16—711no—
1205C2×SD16—711no—
1206C2×SD16—711no—
1207C2×SD16—711no—
1208C2×SD16—711no—
1209C2×SD16—711no—
1210C2×SD16—711no—
1211C2×SD16—711no—
1212C2×SD16—711no—
1213C2×SD16—711no—
1214C2×D8—711no—
1215C2×D8—711no—
1216C2×D8—711no—
1217C2×D8—711no—
1218C2×M16C22×D7111yescharacteristic
1219C2×M16C22×D7111yescharacteristic
1220C2×M16C22×D7111yescharacteristic
1221C2×M16C22×D7111yescharacteristic
1222C2×M16C22×D7111yescharacteristic
1223C2×M16C22×D7111yescharacteristic
1224C22×C8C22×D7111yescharacteristic
1225C22×C8C22×D7111yescharacteristic
1226C4⋊Q8—711no—
1227C4⋊Q8—711no—
1228C4⋊Q8—1421no—
1229C4⋊Q8—1421no—
1230#127—711no—
1231#127—711no—
1232#127—1421no—
1233#127—1421no—
1234#126—1421no—
1235#126—1421no—
1236#126—1421no—
1237#126—1421no—
1238#126—1421no—
1239#126—1421no—
1240#126—1421no—
1241#125—711no—
1242#125—1421no—
1243#125—1421no—
1244#125—1421no—
1245#125—1421no—
1246#124—711no—
1247#124—711no—
1248#124—711no—
1249#124—1421no—
1250#124—1421no—
1251#124—1421no—
1252#124—1421no—
1253#124—1421no—
1254#124—1421no—
1255#124—1421no—
1256#123—1421no—
1257#123—1421no—
1258#123—1421no—
1259#123—1421no—
1260#123—1421no—
1261#123—1421no—
1262#123—1421no—
1263#123—1421no—
1264#123—1421no—
1265#123—1421no—
1266#123D28411yescharacteristic
1267#123D28411yescharacteristic
1268C22⋊Q8—711no—
1269C22⋊Q8—711no—
1270C22⋊Q8—711no—
1271C22⋊Q8—711no—
1272C22⋊Q8—711no—
1273C22⋊Q8—711no—
1274C22⋊Q8—711no—
1275C22⋊Q8—711no—
1276C22⋊Q8—711no—
1277C22⋊Q8—711no—
1278C22⋊Q8—711no—
1279C22⋊Q8—1421no—
1280C22⋊Q8—1421no—
1281C22⋊Q8—1421no—
1282C22⋊Q8—1421no—
1283C22⋊Q8—1421no—
1284C22⋊Q8—1421no—
1285C22⋊Q8—1421no—
1286C22⋊Q8—1421no—
1287C22⋊Q8—1421no—
1288C22⋊Q8—1421no—
1289C22⋊Q8—1421no—
1290C22⋊Q8—1421no—
1291C22⋊Q8—1421no—
1292C22⋊Q8D28411yescharacteristic
1293C22⋊Q8D28411yescharacteristic
1294#121—711no—
1295#121—711no—
1296#121—711no—
1297#121—711no—
1298#121—711no—
1299#121—711no—
1300#121—711no—
1301#121—711no—
1302#121—711no—
1303#121—1421no—
1304#121—1421no—
1305#121—1421no—
1306#121—1421no—
1307#121—1421no—
1308#121—1421no—
1309#121—1421no—
1310#121—1421no—
1311#121—1421no—
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#121—1421no—
1327#121D28411yescharacteristic
1328#121D28411yescharacteristic
1329#120—1421no—
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#120D28411yescharacteristic
1339#120D28411yescharacteristic
1340C4×Q8—711no—
1341C4×Q8—711no—
1342C4×Q8—711no—
1343C4×Q8—711no—
1344C4×Q8—711no—
1345C4×Q8—1421no—
1346C4×D4—711no—
1347C4×D4—711no—
1348C4×D4—711no—
1349C4×D4—1421no—
1350C4×D4—1421no—
1351C4×D4—1421no—
1352C4×D4—1421no—
1353C4×D4—1421no—
1354C4×D4—1421no—
1355C4×D4—1421no—
1356C4×D4—1421no—
1357C4×D4—1421no—
1358C4×D4—1421no—
1359C4×D4—1421no—
1360C4×D4—1421no—
1361C4×D4—1421no—
1362C4×D4C22×D7111yescharacteristic
1363C4×D4C22×D7111yescharacteristic
1364C4×D4C22×D7111yescharacteristic
1365C4×D4C22×D7111yescharacteristic
1366#117—711no—
1367#117—711no—
1368#117—1421no—
1369#117—1421no—
1370#117C22×D7111yescharacteristic
1371C2×C4⋊C4—711no—
1372C2×C4⋊C4—711no—
1373C2×C4⋊C4—711no—
1374C2×C4⋊C4—1421no—
1375C2×C4⋊C4—1421no—
1376C2×C4⋊C4—1421no—
1377C2×C22⋊C4—1421no—
1378C2×C22⋊C4—1421no—
1379C2×C22⋊C4—1421no—
1380C2×C22⋊C4—1421no—
1381#107—711no—
1382#107—711no—
1383#107—711no—
1384#107—711no—
1385#107—711no—
1386#107—711no—
1387#106—711no—
1388#106—711no—
1389C4⋊C8C22×D7111yescharacteristic
1390C4⋊C8C22×D7111yescharacteristic
1391C4⋊C8C22×D7111yescharacteristic
1392C4⋊C8C22×D7111yescharacteristic
1393#103—711no—
1394#103—711no—
1395#103—711no—
1396#103—711no—
1397#103—711no—
1398#103—711no—
1399#103—711no—
1400#103—711no—
1401#103—711no—
1402#103—711no—
1403#103—711no—
1404#103—711no—
1405#103—711no—
1406#103—711no—
1407#102—711no—
1408#102—711no—
1409#102—711no—
1410#102—711no—
1411#102—711no—
1412#102—711no—
1413#102—711no—
1414#102—711no—
1415#102—711no—
1416#102—711no—
1417#102—711no—
1418#102—711no—
1419#102—711no—
1420#102—711no—
1421#102—711no—
1422#102—711no—
1423#102—711no—
1424#102—711no—
1425C22⋊C8C22×D7111yescharacteristic
1426C22⋊C8C22×D7111yescharacteristic
1427C22⋊C8C22×D7111yescharacteristic
1428C22⋊C8C22×D7111yescharacteristic
1429C22⋊C8C22×D7111yescharacteristic
1430C22⋊C8C22×D7111yescharacteristic
1431C22⋊C8C22×D7111yescharacteristic
1432C22⋊C8C22×D7111yescharacteristic
1433C22⋊C8C22×D7111yescharacteristic
1434C22⋊C8C22×D7111yescharacteristic
1435C22⋊C8C22×D7111yescharacteristic
1436C22⋊C8C22×D7111yescharacteristic
1437#97C22×D7111yescharacteristic
1438#97C22×D7111yescharacteristic
1439C4×C8C22×D7111yescharacteristic
1440C4×C8C22×D7111yescharacteristic
1441C24—1421no—
1442C24—1421no—
1443C24—1421no—
1444C24—1421no—
1445C24C2×D28411yescharacteristic
1446#41—41no—
1447#41—41no—
1448#41—2841no—
1449#41—2841no—
1450#41—2841no—
1451#41—2841no—
1452#41—2841no—
1453#41—2841no—
1454#41—2841no—
1455#41—2841no—
1456#41—2841no—
1457#41—2841no—
1458#41—2844no—
1459#41—2844no—
1460#41—2844no—
1461#41—1422no—
1462#41—1422no—
1463#41—1422no—
1464#41—1422no—
1465#41—1422no—
1466#41—1422no—
1467C2×Q8—2841no—
1468C2×Q8—2841no—
1469C2×Q8—2841no—
1470C2×Q8—2841no—
1471C2×Q8—2841no—
1472C2×Q8—711no—
1473C2×Q8—711no—
1474C2×Q8—711no—
1475C2×Q8—711no—
1476C2×Q8—711no—
1477C2×Q8—1422no—
1478C2×Q8—1421no—
1479C2×Q8—1421no—
1480C2×Q8—1421no—
1481C2×Q8—1421no—
1482C2×Q8C2×D28411yescharacteristic
1483C2×D4—2841no—
1484C2×D4—2841no—
1485C2×D4—2841no—
1486C2×D4—2841no—
1487C2×D4—2841no—
1488C2×D4—2844no—
1489C2×D4—2844no—
1490C2×D4—2844no—
1491C2×D4—2844no—
1492C2×D4—5682no—
1493C2×D4—5682no—
1494C2×D4—5682no—
1495C2×D4—711no—
1496C2×D4—711no—
1497C2×D4—711no—
1498C2×D4—711no—
1499C2×D4—711no—
1500C2×D4—1422no—
1501C2×D4—1422no—
1502C2×D4—1422no—
1503C2×D4—1421no—
1504C2×D4—1421no—
1505C2×D4—1421no—
1506C2×D4—1421no—
1507C2×D4—1421no—
1508C2×D4—1421no—
1509C2×D4—1421no—
1510C2×D4—1421no—
1511C2×D4—1421no—
1512C2×D4—1421no—
1513C2×D4—1421no—
1514C2×D4—1421no—
1515C2×D4—1421no—
1516C2×D4—1421no—
1517C2×D4—1421no—
1518C2×D4—1421no—
1519C2×D4—1421no—
1520C2×D4—1421no—
1521C2×D4—1421no—
1522C2×D4—1421no—
1523C2×D4—1421no—
1524C2×D4—1421no—
1525C2×D4—1421no—
1526C2×D4—1421no—
1527C2×D4—1421no—
1528C2×D4C2×D28411yescharacteristic
1529C2×D4C2×D28411yescharacteristic
1530C2×D4C2×D28411yescharacteristic
1531C2×D4C2×D28411yescharacteristic
1532C2×D4C2×D28411yescharacteristic
1533C2×D4C2×D28411yescharacteristic
1534C2×D4C2×D28411yescharacteristic
1535C22×C4—41no—
1536C22×C4—41no—
1537C22×C4—2844no—
1538C22×C4—1421no—
1539C22×C4—1421no—
1540C22×C4—1421no—
1541C22×C4—1421no—
1542C22×C4—1421no—
1543C22×C4—1421no—
1544C22×C4—1421no—
1545C22×C4—1421no—
1546C22×C4—1421no—
1547C22×C4—1421no—
1548C22×C4—1421no—
1549C22×C4—1421no—
1550C22×C4—1421no—
1551C22×C4—1421no—
1552C22×C4—1421no—
1553C22×C4—1421no—
1554C22×C4—1421no—
1555C22×C4C2×D28411yescharacteristic
1556C22×C4C2×D28411yescharacteristic
1557C22×C4C2×D28411yescharacteristic
1558C22×C4C23×D7111yescharacteristic
1559C22×C4C23×D7111yescharacteristic
1560C22×C4C23×D7111yescharacteristic
1561C22×C4C23×D7111yescharacteristic
1562C22×C4C23×D7111yescharacteristic
1563Q16—2841no—
1564Q16—2841no—
1565Q16—2841no—
1566Q16—1422no—
1567Q16—1422no—
1568Q16—1422no—
1569SD16—2841no—
1570SD16—2841no—
1571SD16—2841no—
1572SD16—2841no—
1573SD16—2841no—
1574SD16—2841no—
1575SD16—2841no—
1576SD16—2841no—
1577SD16—2841no—
1578SD16—2841no—
1579SD16—1422no—
1580SD16—1422no—
1581SD16—1422no—
1582SD16—1422no—
1583D8—2841no—
1584D8—2841no—
1585D8—2841no—
1586D8—1422no—
1587M16—41no—
1588M16—41no—
1589M16—41no—
1590M16—41no—
1591M16—41no—
1592M16—41no—
1593C2×C8—41no—
1594C2×C8—41no—
1595C2×C8C23×D7111yescharacteristic
1596C2×C8C23×D7111yescharacteristic
1597C2×C8C23×D7111yescharacteristic
1598C2×C8C23×D7111yescharacteristic
1599C2×C8C23×D7111yescharacteristic
1600C2×C8C23×D7111yescharacteristic
1601C2×C8C23×D7111yescharacteristic
1602C2×C8C23×D7111yescharacteristic
1603C4⋊C4—711no—
1604C4⋊C4—711no—
1605C4⋊C4—711no—
1606C4⋊C4—711no—
1607C4⋊C4—711no—
1608C4⋊C4—711no—
1609C4⋊C4—1421no—
1610C4⋊C4—1421no—
1611C4⋊C4—1421no—
1612C4⋊C4—1421no—
1613C4⋊C4—1421no—
1614C4⋊C4—1421no—
1615C4⋊C4—1421no—
1616C4⋊C4—1421no—
1617C4⋊C4—1421no—
1618C4⋊C4—1421no—
1619C4⋊C4—1421no—
1620C4⋊C4—1421no—
1621C4⋊C4—1421no—
1622C4⋊C4—1421no—
1623C4⋊C4—1421no—
1624C4⋊C4—1421no—
1625C4⋊C4—1421no—
1626C4⋊C4—1421no—
1627C4⋊C4—1421no—
1628C4⋊C4—1421no—
1629C4⋊C4—1421no—
1630C4⋊C4—1421no—
1631C4⋊C4—1421no—
1632C4⋊C4—1421no—
1633C4⋊C4C2×D28411yescharacteristic
1634C4⋊C4C2×D28411yescharacteristic
1635C4⋊C4C2×D28411yescharacteristic
1636C4⋊C4C2×D28411yescharacteristic
1637C4⋊C4C2×D28411yescharacteristic
1638C4⋊C4C2×D28411yescharacteristic
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⋊C4—1421no—
1650C22⋊C4—1421no—
1651C22⋊C4—1421no—
1652C22⋊C4—1421no—
1653C22⋊C4—1421no—
1654C22⋊C4—1421no—
1655C22⋊C4—1421no—
1656C22⋊C4—1421no—
1657C22⋊C4—1421no—
1658C22⋊C4—1421no—
1659C22⋊C4—1421no—
1660C22⋊C4—1421no—
1661C22⋊C4—1421no—
1662C22⋊C4—1421no—
1663C22⋊C4—1421no—
1664C22⋊C4—1421no—
1665C22⋊C4—1421no—
1666C22⋊C4—1421no—
1667C22⋊C4—1421no—
1668C22⋊C4—1421no—
1669C22⋊C4—1421no—
1670C22⋊C4C2×D28411yescharacteristic
1671C22⋊C4C2×D28411yescharacteristic
1672C22⋊C4C2×D28411yescharacteristic
1673C22⋊C4C2×D28411yescharacteristic
1674C22⋊C4C2×D28411yescharacteristic
1675C22⋊C4C2×D28411yescharacteristic
1676C22⋊C4C2×D28411yescharacteristic
1677C22⋊C4C2×D28411yescharacteristic
1678C22⋊C4C2×D28411yescharacteristic
1679C22⋊C4C2×D28411yescharacteristic
1680C42—1421no—
1681C42—1421no—
1682C42—1421no—
1683C42—1421no—
1684C42—1421no—
1685C42—1421no—
1686C42—1421no—
1687C42C23×D7111yescharacteristic
1688C42C23×D7111yescharacteristic
1689C23—41no—
1690C23—41no—
1691C23—41no—
1692C23—2842no—
1693C23—2842no—
1694C23—2842no—
1695C23—2842no—
1696C23—2842no—
1697C23—5681no—
1698C23—5681no—
1699C23—5681no—
1700C23—5681no—
1701C23—5681no—
1702C23—5681no—
1703C23—5681no—
1704C23—1421no—
1705C23—1421no—
1706C23—1421no—
1707C23—1421no—
1708C23—1421no—
1709C23C22×D28411yescharacteristic
1710C23C22×D28411yescharacteristic
1711C23C22×D28411yescharacteristic
1712C23C22×D28411yescharacteristic
1713C23C22×D28411yescharacteristic
1714Q8—41no—
1715Q8—2842no—
1716Q8—5681no—
1717Q8—5681no—
1718Q8—5681no—
1719Q8—712no—
1720Q8—1421no—
1721Q8—1421no—
1722Q8—1421no—
1723Q8—1421no—
1724Q8—1421no—
1725Q8—1421no—
1726Q8—1421no—
1727Q8—1421no—
1728Q8—1421no—
1729D4—41no—
1730D4—41no—
1731D4—41no—
1732D4—41no—
1733D4—41no—
1734D4—41no—
1735D4—41no—
1736D4—2842no—
1737D4—2842no—
1738D4—2842no—
1739D4—2842no—
1740D4—2842no—
1741D4—2842no—
1742D4—2842no—
1743D4—2842no—
1744D4—2842no—
1745D4—2842no—
1746D4—2842no—
1747D4—2842no—
1748D4—5681no—
1749D4—5681no—
1750D4—5681no—
1751D4—5681no—
1752D4—5681no—
1753D4—5681no—
1754D4—5681no—
1755D4—5681no—
1756D4—5681no—
1757D4—5681no—
1758D4—5681no—
1759D4—5681no—
1760D4—712no—
1761D4—1424no—
1762D4—1421no—
1763D4—1421no—
1764D4—1421no—
1765D4—1421no—
1766D4—1421no—
1767D4—1421no—
1768D4—1421no—
1769D4—1421no—
1770D4—1421no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—21no—
1781C2×C4—41no—
1782C2×C4—41no—
1783C2×C4—41no—
1784C2×C4—2842no—
1785C2×C4—2842no—
1786C2×C4—2842no—
1787C2×C4—2842no—
1788C2×C4—2842no—
1789C2×C4—2842no—
1790C2×C4—5681no—
1791C2×C4—5681no—
1792C2×C4—5681no—
1793C2×C4—5681no—
1794C2×C4—5681no—
1795C2×C4—5681no—
1796C2×C4—5681no—
1797C2×C4—5681no—
1798C2×C4—5681no—
1799C2×C4—5681no—
1800C2×C4—1424no—
1801C2×C4—1421no—
1802C2×C4—1421no—
1803C2×C4—1421no—
1804C2×C4—1421no—
1805C2×C4—1421no—
1806C2×C4—1421no—
1807C2×C4—1421no—
1808C2×C4—1421no—
1809C2×C4—1421no—
1810C2×C4—1421no—
1811C2×C4—1421no—
1812C2×C4C22×D28411yescharacteristic
1813C2×C4C22×D28411yescharacteristic
1814C2×C4C22×D28411yescharacteristic
1815C2×C4C22×D28411yescharacteristic
1816C2×C4C22×D28411yescharacteristic
1817C2×C4C22×D28411yescharacteristic
1818C2×C4C22×D28411yescharacteristic
1819C2×C4C22×D28411yescharacteristic
1820C2×C4C22×D28411yescharacteristic
1821C2×C4C24×D7111yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—21no—
1827C8—21no—
1828C8—21no—
1829C8—21no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—21no—
1838C22—21no—
1839C22—21no—
1840C22—21no—
1841C22—21no—
1842C22—21no—
1843C22—21no—
1844C22—21no—
1845C22—82no—
1846C22—2841no—
1847C22—2841no—
1848C22—2841no—
1849C22—2841no—
1850C22—2841no—
1851C22—2841no—
1852C22—2841no—
1853C22—2841no—
1854C22—2841no—
1855C22—2841no—
1856C22—2841no—
1857C22—2841no—
1858C22—2841no—
1859C22—2841no—
1860C22—5684no—
1861C22—11362no—
1862C22—11362no—
1863C22—11362no—
1864C22—1422no—
1865C22C23×D28411yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—21no—
1871C4—21no—
1872C4—21no—
1873C4—21no—
1874C4—21no—
1875C4—2841no—
1876C4—2841no—
1877C4—2841no—
1878C4—2841no—
1879C4—2841no—
1880C4—2841no—
1881C4—2841no—
1882C4—2841no—
1883C4—2841no—
1884C4—2841no—
1885C4—1422no—
1886C4H(5,𝔽2)×D7111yescharacteristic
1887C4H(5,𝔽2)×D7111yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—41no—
1891C2—41no—
1892C2—41no—
1893C2—2842no—
1894C2—5681no—
1895C2—5681no—
1896C2—5681no—
1897C2—5681no—
1898C2#2260197611yescharacteristic
1899C2#2260312111yescharacteristic
1900C2#2260312811yescharacteristic
subgroupG/H
centerC22C23×D284
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#2978C2
socleC22×C71C23×D4
hypercenter#2978D71
hypocenterC71#61654
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ #525 ◁ #2978

Complements

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

NH ≅ G/Ntype
1. #22602633C2semidirect
2. #22602001C2semidirect
3. #22600679C2semidirect
4. #22600610C2semidirect
5. #22600572C2semidirect
6. #22600543C2semidirect
7. #22600423C2semidirect
8. #22600408C2semidirect
9. #22600363C2semidirect
10. #22600348C2semidirect
11. #22600008C2semidirect
12. #22599998C2semidirect
13. #22599976C2semidirect
14. #22599942C2semidirect
15. #22599930C2semidirect
16. #22599900C2semidirect
17. #22599855C2semidirect
18. #22599840C2semidirect
19. #22599436C2semidirect
20. #22599414C2semidirect
21. #22599242C2semidirect
22. #22599224C2semidirect
23. #22599156C2semidirect
24. #22599147C2semidirect
25. #22598604C2semidirect
26. #22598556C2semidirect
27. #22597647C2semidirect
28. #22597619C2semidirect
29. #22597602C2semidirect
30. #22597585C2semidirect
31. C71×#2978C2semidirect
34. C2×#14556161C22semidirect
35. C2×#14556161C22semidirect
36. C2×#14556161C22semidirect
37. C2×#14556161C22semidirect
38. C2×#14556156C22semidirect
39. C2×#14556156C22semidirect
40. C2×#14556150C22semidirect
41. C22×#11765854C22semidirect
44. #17986719C22semidirect
45. #17986706C22semidirect
47. #17986695C22semidirect
49. #17986689C22semidirect
52. D4×Dic142C22semidirect
55. #17986658C22semidirect
56. #17986658C22semidirect
57. #17986654C22semidirect
66. #17986620C22semidirect
68. #17986611C22semidirect
74. #17986577C22semidirect
75. #17986570C22semidirect
79. #17986510C22semidirect
80. C2×#14556107C22semidirect
84. #17986393C22semidirect
85. #17986388C22semidirect
86. #17986383C22semidirect
87. #17986372C22semidirect
88. #17986364C22semidirect
89. #17986359C22semidirect
90. #17986354C22semidirect
91. #17986346C22semidirect
92. #17986341C22semidirect
93. #17986335C22semidirect
94. #17986335C22semidirect
95. #17986335C22semidirect
96. #17986330C22semidirect
97. #17986324C22semidirect
98. #17986324C22semidirect
99. #17986324C22semidirect
100. #17986313C22semidirect
101. #17986313C22semidirect
102. #17986313C22semidirect
103. #17986313C22semidirect
104. #17986307C22semidirect
105. #17986300C22semidirect
106. #17986295C22semidirect
107. #17986280C22semidirect
108. #17986257C22semidirect
109. #17986252C22semidirect
110. #17986252C22semidirect
111. #17986245C22semidirect
112. #17986245C22semidirect
113. #17986245C22semidirect
114. #17986245C22semidirect
115. #17986245C22semidirect
116. #17986245C22semidirect
117. #17986245C22semidirect
118. #17986245C22semidirect
119. #17986245C22semidirect
120. #17986240C22semidirect
121. #17986240C22semidirect
122. #17986235C22semidirect
123. #17986228C22semidirect
124. #17986222C22semidirect
125. #17986222C22semidirect
126. #17986222C22semidirect
127. #17986222C22semidirect
128. #17986215C22semidirect
129. #17986215C22semidirect
130. #17986210C22semidirect
131. #17986205C22semidirect
132. #17986200C22semidirect
133. #17986200C22semidirect
134. #17986200C22semidirect
135. #17986195C22semidirect
139. #17986163C22semidirect
140. #17986163C22semidirect
141. #17986163C22semidirect
142. #17986163C22semidirect
143. #17986163C22semidirect
144. #17986163C22semidirect
145. #17986163C22semidirect
146. #17986163C22semidirect
147. #17986163C22semidirect
148. #17986157C22semidirect
149. #17986157C22semidirect
150. #17986157C22semidirect
151. #17986152C22semidirect
152. #17986152C22semidirect
153. #17986152C22semidirect
154. #17986152C22semidirect
155. #17986152C22semidirect
156. #17986152C22semidirect
157. #17986152C22semidirect
158. #17986152C22semidirect
160. #17986146C22semidirect
161. #17986146C22semidirect
162. #17986146C22semidirect
163. #17986146C22semidirect
164. #17986146C22semidirect
165. #17986146C22semidirect
166. #17986146C22semidirect
167. #17986140C22semidirect
168. #17986140C22semidirect
169. #17986140C22semidirect
170. #17986135C22semidirect
171. #17986135C22semidirect
172. #17986107C22semidirect
173. #17986101C22semidirect
174. #17986101C22semidirect
175. #17986101C22semidirect
176. C4×Dic284C22semidirect
177. C4×Dic284C22semidirect
178. C4×#11765854C22semidirect
179. C4×D568C22semidirect
180. #17986009C22semidirect
181. #17986005C22semidirect
182. #17986005C22semidirect
183. #17986001C22semidirect
184. #17986001C22semidirect
185. #17986001C22semidirect
186. #17985996C22semidirect
187. C2×#14556050C22semidirect
189. #436×C71C22semidirect
190. #436×C71C22semidirect
191. #436×C71C22semidirect
192. #436×C71C22semidirect
193. #435×C71C22semidirect
194. #435×C71C22semidirect
195. #435×C71C22semidirect
196. #435×C71C22semidirect
197. #433×C71C22semidirect
198. #433×C71C22semidirect
199. #408×C71C22semidirect
200. #408×C71C22semidirect
201. #407×C71C22semidirect
202. #407×C71C22semidirect
981. #2978D71semidirect
982. C71#61654semidirect
1132. #436C2×D71semidirect
1133. #436C2×D71semidirect
1134. #436C2×D71semidirect
1135. #436C2×D71semidirect
1136. #435C2×D71semidirect
1137. #435C2×D71semidirect
1138. #435C2×D71semidirect
1139. #435C2×D71semidirect
1140. #433C2×D71semidirect
1141. #433C2×D71semidirect
1150. #408C2×D71semidirect
1151. #408C2×D71semidirect
1152. #407C2×D71semidirect
1153. #407C2×D71semidirect

Maximal subgroups

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

subgroupindex
#226026332
#226020012
#226006792
#226006102
#226005722
#226005432
#226004232
#226004082
#226003632
#226003482
#226000082
#225999982
#225999762
#225999422
#225999302
#225999002
#225998552
#225998402
#225994362
#225994142
#225992422
#225992242
#225991562
#225991472
#225986042
#225985562
#225976472
#225976192
#225976022
#225975852
C71×#29782
#6165471