Finite Group Databasebeta

← #32883695

Subgroups — #32883695

Order 18176.

2174 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#22602656C211yesmaximal, characteristic, complemented
2#22602001C211yesmaximal, characteristic, complemented
3#22600498C211yesmaximal, characteristic, complemented
4#22600363C211yesmaximal, characteristic, complemented
5#22600348C211yesmaximal, characteristic, complemented
6#22600333C211yesmaximal, characteristic, complemented
7#22600291C211yesmaximal, characteristic, complemented
8#22600229C211yesmaximal, characteristic, complemented
9#22600192C211yesmaximal, characteristic, complemented
10#22600154C211yesmaximal, characteristic, complemented
11#22600100C211yesmaximal, characteristic, complemented
12#22600052C211yesmaximal, characteristic, complemented
13#22600027C211yesmaximal, characteristic, complemented
14D4×D568C211yesmaximal, characteristic, complemented
15#22599885C211yesmaximal, characteristic, complemented
16#22599885C211yesmaximal, characteristic, complemented
17#22599840C211yesmaximal, characteristic, complemented
18#22599825C211yesmaximal, characteristic, complemented
19#22599436C211yesmaximal, characteristic, complemented
20#22599392C211yesmaximal, characteristic, complemented
21#22599242C211yesmaximal, characteristic, complemented
22#22599194C211yesmaximal, characteristic, complemented
23#22599107C211yesmaximal, characteristic, complemented
24#22599091C211yesmaximal, characteristic, complemented
25#22598604C211yesmaximal, characteristic, complemented
26#22598541C211yesmaximal, characteristic, complemented
27#22597647C211yesmaximal, characteristic, complemented
28#22597610C211yesmaximal, characteristic, complemented
29#22597562C211yesmaximal, characteristic, complemented
30C2×#17986146C211yesmaximal, characteristic, complemented
31C71×#2977C211yesmaximal, characteristic, complemented
32C2×#14556174C2211yescharacteristic, complemented
33C22×#11765865C2211yescharacteristic, complemented
34C2×#14556156C2211yescharacteristic, complemented
35C2×#14556156C2211yescharacteristic, complemented
36C2×#14556150C2211yescharacteristic, complemented
37C2×#14556150C2211yescharacteristic, complemented
38C2×#14556150C2211yescharacteristic, complemented
39C22×#11765854C2211yescharacteristic, complemented
40C22×D568C2211yescharacteristic, complemented
41C22×D568C2211yescharacteristic, complemented
42#17986745—21no—
43#17986737—21no—
44#17986714C2211yescharacteristic, complemented
45#17986695C2211yescharacteristic, complemented
46#17986689C2211yescharacteristic, complemented
47#17986676—21no—
48#17986670C2211yescharacteristic, complemented
49#17986670C2211yescharacteristic, complemented
50#17986670C2211yescharacteristic, complemented
51#17986658C2211yescharacteristic
52#17986658C2211yescharacteristic, complemented
53#17986653C2211yescharacteristic, complemented
54#17986645C2211yescharacteristic, complemented
55#17986645C2211yescharacteristic, complemented
56#17986645C2211yescharacteristic, complemented
57#17986645C2211yescharacteristic, complemented
58#17986641—21no—
59#17986641—21no—
60#17986638—21no—
61D4×D284C2211yescharacteristic
62D4×D284C2211yescharacteristic, complemented
63D4×D284C2211yescharacteristic, complemented
64#17986631—21no—
65#17986631—21no—
66#17986620C2211yescharacteristic, complemented
67#17986604C2211yescharacteristic, complemented
68#17986601—21no—
69#17986585—21no—
70#17986579—21no—
71#17986577C2211yescharacteristic, complemented
72#17986577C2211yescharacteristic, complemented
73#17986568C2211yescharacteristic, complemented
74#17986565—21no—
75#17986564—21no—
76#17986563C2211yescharacteristic, complemented
77#17986559—21no—
78#17986512—21no—
79#17986510C2211yescharacteristic, complemented
80C2×#14556102C2211yescharacteristic, complemented
81C2×#14556102C2211yescharacteristic, complemented
82#121×D71—21no—
83#17986479C2211yescharacteristic, complemented
84#17986388C2211yescharacteristic, complemented
85#17986388C2211yescharacteristic, complemented
86#17986383C2211yescharacteristic, complemented
87#17986376C2211yescharacteristic, complemented
88#17986364C2211yescharacteristic, complemented
89#17986359C2211yescharacteristic, complemented
90#17986354C2211yescharacteristic, complemented
91#17986346C2211yescharacteristic, complemented
92#17986341C2211yescharacteristic, complemented
93#17986335C2211yescharacteristic, complemented
94#17986335C2211yescharacteristic, complemented
95#17986324C2211yescharacteristic, complemented
96#17986324C2211yescharacteristic, complemented
97#17986324C2211yescharacteristic, complemented
98#17986318C2211yescharacteristic, complemented
99#17986313C2211yescharacteristic, 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#17986252C2211yescharacteristic, complemented
109#17986245C2211yescharacteristic, complemented
110#17986245C2211yescharacteristic, complemented
111#17986245C2211yescharacteristic, complemented
112#17986240C2211yescharacteristic, complemented
113#17986235C2211yescharacteristic, complemented
114#17986235C2211yescharacteristic, complemented
115#17986235C2211yescharacteristic, complemented
116#17986235C2211yescharacteristic, complemented
117#17986235C2211yescharacteristic, complemented
118#17986235C2211yescharacteristic, complemented
119#17986235C2211yescharacteristic, complemented
120#17986235C2211yescharacteristic, complemented
121#17986228C2211yescharacteristic, complemented
122#17986228C2211yescharacteristic, complemented
123#17986228C2211yescharacteristic, complemented
124#17986222C2211yescharacteristic, complemented
125#17986222C2211yescharacteristic, complemented
126#17986215C2211yescharacteristic, complemented
127#17986215C2211yescharacteristic, complemented
128#17986215C2211yescharacteristic, complemented
129#17986215C2211yescharacteristic, complemented
130#17986200C2211yescharacteristic, complemented
131#17986200C2211yescharacteristic, complemented
132#17986195C2211yescharacteristic, complemented
133#17986195C2211yescharacteristic, complemented
134#17986195C2211yescharacteristic, complemented
135#17986195C2211yescharacteristic, complemented
136#17986163C2211yescharacteristic, complemented
137#17986163C2211yescharacteristic, complemented
138#17986163C2211yescharacteristic, complemented
139#17986163C2211yescharacteristic, complemented
140#17986157C2211yescharacteristic, complemented
141#17986152C2211yescharacteristic, complemented
142#17986152C2211yescharacteristic, complemented
143#17986152C2211yescharacteristic, complemented
144#17986152C2211yescharacteristic, complemented
145#17986146C2211yescharacteristic
146#17986146C2211yescharacteristic, complemented
147#17986146C2211yescharacteristic, complemented
148#17986146C2211yescharacteristic, complemented
149#17986146C2211yescharacteristic, complemented
150#17986146C2211yescharacteristic, complemented
151#17986146C2211yescharacteristic, complemented
152#17986146C2211yescharacteristic, complemented
153#17986146C2211yescharacteristic, complemented
154#17986146C2211yescharacteristic, complemented
155#17986146C2211yescharacteristic, complemented
156#17986146C2211yescharacteristic, complemented
157#17986146C2211yescharacteristic, complemented
158#17986146C2211yescharacteristic, complemented
159#17986146C2211yescharacteristic, complemented
160#17986146C2211yescharacteristic, complemented
161#17986140C2211yescharacteristic, complemented
162#17986135C2211yescharacteristic, complemented
163#17986135C2211yescharacteristic, complemented
164#17986135C2211yescharacteristic, complemented
165#17986135C2211yescharacteristic, complemented
166#17986135C2211yescharacteristic, complemented
167#17986135C2211yescharacteristic, complemented
168#17986135C2211yescharacteristic, complemented
169#17986135C2211yescharacteristic, complemented
170#17986135C2211yescharacteristic, complemented
171#17986135C2211yescharacteristic, complemented
172#17986112C2211yescharacteristic, complemented
173#17986101C2211yescharacteristic, complemented
174#17986101C2211yescharacteristic, complemented
175#17986101C2211yescharacteristic, complemented
176C4×Dic284C2211yescharacteristic, complemented
177C4×#11765854C2211yescharacteristic, complemented
178C4×D568C2211yescharacteristic, complemented
179C4×D568C2211yescharacteristic, complemented
180#17986005C2211yescharacteristic, complemented
181#17986001C2211yescharacteristic, complemented
182#17985996C2211yescharacteristic, complemented
183#17985996C2211yescharacteristic, complemented
184#17985996C2211yescharacteristic, complemented
185C2×#14556053C2211yescharacteristic, complemented
186C2×#14556050C2211yescharacteristic, complemented
187C2×#14556050C2211yescharacteristic, complemented
188#525×C71C2211yescharacteristic
189#435×C71C2211yescharacteristic, complemented
190#435×C71C2211yescharacteristic, complemented
191#435×C71C2211yescharacteristic, complemented
192#435×C71C2211yescharacteristic, complemented
193C8×D4×C71C2211yescharacteristic, complemented
194C8×D4×C71C2211yescharacteristic, complemented
195C8×D4×C71C2211yescharacteristic, complemented
196C8×D4×C71C2211yescharacteristic, complemented
197#433×C71C2211yescharacteristic, complemented
198#433×C71C2211yescharacteristic, complemented
199#408×C71C2211yescharacteristic, complemented
200#408×C71C2211yescharacteristic, complemented
201C2×C22⋊C8×C71C2211yescharacteristic, complemented
202C2×C22⋊C8×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
218C2×#11765864—21no—
219C22×Dic142C2311yescharacteristic
220C22×D284C2311yescharacteristic
221C22×D284C2311yescharacteristic
222C22×D284C2311yescharacteristic
223C22×D284C2311yescharacteristic
224C22×D284C2311yescharacteristic
225C22×D284C2311yescharacteristic
226C22×C22⋊D71—21no—
227C22×C22⋊D71—21no—
228C22×C22⋊D71—21no—
229C2×D4×D71—21no—
230C2×D4×D71—21no—
231C2×D4×D71—21no—
232C2×D4×D71—21no—
233C2×D4×D71—21no—
234C2×D4×D71—21no—
235C22×C4×D71—21no—
236#14556156—42no—
237#14556156—42no—
238#14556150—42no—
239#14556150—42no—
240#14556150—42no—
241C2×Dic284C2311yescharacteristic
242C2×Dic284C2311yescharacteristic
243C2×#11765854—42no—
244C2×#11765854C2311yescharacteristic
245C2×#11765854C2311yescharacteristic
246C2×#11765854C2311yescharacteristic
247C2×#11765854C2311yescharacteristic
248C2×#11765854C2311yescharacteristic
249C2×#11765854C2311yescharacteristic
250C2×#11765854C2311yescharacteristic
251C2×#11765854C2311yescharacteristic
252C2×#11765854C2311yescharacteristic
253C2×#11765854C2311yescharacteristic
254C2×D568—42no—
255C2×D568—42no—
256C2×D568C2311yescharacteristic
257C2×D568C2311yescharacteristic
258C2×D568C2311yescharacteristic
259C2×D568C2311yescharacteristic
260C2×D568C2311yescharacteristic
261C2×D568C2311yescharacteristic
262C2×D568C2311yescharacteristic
263C2×D568C2311yescharacteristic
264C2×D568C2311yescharacteristic
265C2×D568C2311yescharacteristic
266C2×D568C2311yescharacteristic
267C2×D568C2311yescharacteristic
268#14556128C2311yescharacteristic
269#14556125C2311yescharacteristic
270#14556125C2311yescharacteristic
271#14556125C2311yescharacteristic
272#14556124—21no—
273#14556124—21no—
274#14556124—21no—
275#14556124—21no—
276#14556123—21no—
277#14556123—21no—
278#14556121—21no—
279#14556120C2311yescharacteristic
280#14556118—21no—
281#14556117—21no—
282#14556116C2311yescharacteristic
283#14556116C2311yescharacteristic
284#14556116C2311yescharacteristic
285#14556114—21no—
286#14556114—21no—
287#14556114—21no—
288#14556114—21no—
289#14556114—21no—
290#14556113—21no—
291#14556113—21no—
292#14556113—21no—
293#14556113—21no—
294#14556113—21no—
295#14556113—21no—
296#14556112—21no—
297#14556112—21no—
298#14556111—21no—
299#14556110—21no—
300#14556110—21no—
301#14556109—21no—
302#14556108—21no—
303#14556107C2311yescharacteristic
304#14556107C2311yescharacteristic
305#14556107C2311yescharacteristic
306#14556107C2311yescharacteristic
307#14556107C2311yescharacteristic
308#14556106—21no—
309#14556106—21no—
310#14556106—21no—
311#14556104—21no—
312#14556104—21no—
313#14556103—21no—
314#14556103—21no—
315#14556103—21no—
316#14556103—21no—
317#14556103—21no—
318#14556102—21no—
319#14556102—21no—
320#14556102—21no—
321#14556102—21no—
322#14556102C2311yescharacteristic
323#14556102C2311yescharacteristic
324#14556102C2311yescharacteristic
325#14556102C2311yescharacteristic
326#14556102C2311yescharacteristic
327#14556102C2311yescharacteristic
328#14556102C2311yescharacteristic
329#14556102C2311yescharacteristic
330#14556102C2311yescharacteristic
331#14556102C2311yescharacteristic
332#14556102C2311yescharacteristic
333#14556102C2311yescharacteristic
334#14556102C2311yescharacteristic
335#14556102C2311yescharacteristic
336#14556102C2311yescharacteristic
337#14556101—21no—
338#14556101—21no—
339#14556101—21no—
340#14556101—21no—
341#14556101—21no—
342#14556101—21no—
343#14556101—21no—
344#14556101—21no—
345#14556101—21no—
346#14556101—21no—
347#14556101—21no—
348#14556101—21no—
349#14556100—21no—
350#14556100—21no—
351#14556100—21no—
352#14556100—21no—
353#14556100—21no—
354#14556100—21no—
355#14556100—21no—
356#14556099—21no—
357#14556099—21no—
358#14556099—21no—
359#14556098—21no—
360#14556098—21no—
361#14556098—21no—
362#14556098—21no—
363#14556098—21no—
364#14556098—21no—
365#14556098—21no—
366#14556098—21no—
367#14556097—21no—
368#14556096—21no—
369#14556096—21no—
370#14556096—21no—
371#14556096—21no—
372#14556096—21no—
373#14556096—21no—
374C4×Dic142C2311yescharacteristic
375C4×Dic142C2311yescharacteristic
376C4×Dic142C2311yescharacteristic
377C4×D284C2311yescharacteristic
378C4×D284C2311yescharacteristic
379C4×D284C2311yescharacteristic
380C4×D284C2311yescharacteristic
381C4×D284C2311yescharacteristic
382#14556090—21no—
383#14556090—21no—
384#14556090—21no—
385C4×C22⋊D71—21no—
386C4×C22⋊D71—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#14556087C2311yescharacteristic
393#14556087C2311yescharacteristic
394#14556086—21no—
395#14556086—21no—
396#14556084—21no—
397C2×C4⋊Dic71C2311yescharacteristic
398C2×C4⋊Dic71C2311yescharacteristic
399C2×C4⋊Dic71C2311yescharacteristic
400C4⋊C4×D71—21no—
401C2×(C2×D71)⋊C4—21no—
402C2×(C2×D71)⋊C4—21no—
403C22⋊C4×D71—21no—
404C22⋊C4×D71—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#14556050C2311yescharacteristic
426#14556050C2311yescharacteristic
427#14556050C2311yescharacteristic
428#14556050C2311yescharacteristic
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
451C22×C8×C71C2311yescharacteristic
452C22×C8×C71C2311yescharacteristic
453C22×C8×C71C2311yescharacteristic
454C22×C8×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—
494C23×D71—21no—
495C23×D71—21no—
496#11765866—44no—
497#11765865—22no—
498#11765865—22no—
499#11765865—22no—
500#11765865—22no—
501#11765865—22no—
502#11765865—22no—
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—41no—
512#11765865—41no—
513#11765865—44no—
514#11765865—44no—
515#11765864—82no—
516C2×Dic142—22no—
517C2×Dic142—21no—
518C2×Dic142—21no—
519C2×Dic142—41no—
520C2×Dic142C2411yescharacteristic
521C2×Dic142C2411yescharacteristic
522C2×Dic142C2411yescharacteristic
523C2×D284—22no—
524C2×D284—22no—
525C2×D284—22no—
526C2×D284—21no—
527C2×D284—21no—
528C2×D284—21no—
529C2×D284—21no—
530C2×D284—21no—
531C2×D284—21no—
532C2×D284—21no—
533C2×D284—21no—
534C2×D284—21no—
535C2×D284—21no—
536C2×D284—21no—
537C2×D284—21no—
538C2×D284—41no—
539C2×D284—41no—
540C2×D284—41no—
541C2×D284—41no—
542C2×D284—41no—
543C2×D284—41no—
544C2×D284—41no—
545C2×D284—41no—
546C2×D284—41no—
547C2×D284C2411yescharacteristic
548C2×D284C2411yescharacteristic
549C2×D284C2411yescharacteristic
550C2×D284C2411yescharacteristic
551C2×D284C2411yescharacteristic
552C2×D284C2411yescharacteristic
553C2×D284C2411yescharacteristic
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—21no—
567C2×C22⋊D71—21no—
568C2×C22⋊D71—21no—
569C2×C22⋊D71—21no—
570C2×C22⋊D71—21no—
571C2×C22⋊D71—21no—
572C2×C22⋊D71—21no—
573C2×C22⋊D71—21no—
574C2×C22⋊D71—21no—
575C2×C22⋊D71—21no—
576C2×C22⋊D71—21no—
577C2×C22⋊D71—44no—
578C2×C22⋊D71—82no—
579C2×C22⋊D71—82no—
580D4×D71—44no—
581D4×D71—44no—
582D4×D71—44no—
583D4×D71—82no—
584D4×D71—82no—
585D4×D71—82no—
586C22×Dic71—21no—
587C22×Dic71—21no—
588C22×Dic71—21no—
589C22×Dic71—21no—
590C2×C4×D71—21no—
591C2×C4×D71—21no—
592C2×C4×D71—21no—
593C2×C4×D71—21no—
594C2×C4×D71—21no—
595C2×C4×D71—21no—
596C2×C4×D71—21no—
597C2×C4×D71—21no—
598C2×C4×D71—21no—
599C2×C4×D71—21no—
600C2×C4×D71—21no—
601C2×C4×D71—21no—
602C2×C4×D71—21no—
603C2×C4×D71—44no—
604Dic284—22no—
605Dic284—41no—
606#11765854—22no—
607#11765854—22no—
608#11765854—22no—
609#11765854—22no—
610#11765854—41no—
611#11765854—41no—
612#11765854—41no—
613#11765854—41no—
614#11765854—41no—
615#11765854—41no—
616D568—22no—
617D568—22no—
618D568—22no—
619D568—41no—
620D568—41no—
621D568—41no—
622D568—41no—
623D568—41no—
624D568—41no—
625D568—41no—
626D568—41no—
627D568—41no—
628C4⋊Dic71—21no—
629C4⋊Dic71—21no—
630C4⋊Dic71—21no—
631C4⋊Dic71—21no—
632C4⋊Dic71C2411yescharacteristic
633C4⋊Dic71C2411yescharacteristic
634C4⋊Dic71C2411yescharacteristic
635C4⋊Dic71C2411yescharacteristic
636C4⋊Dic71C2411yescharacteristic
637C4⋊Dic71C2411yescharacteristic
638Dic71⋊C4—21no—
639Dic71⋊C4—21no—
640Dic71⋊C4—21no—
641Dic71⋊C4—21no—
642Dic71⋊C4—21no—
643Dic71⋊C4—21no—
644Dic71⋊C4—21no—
645Dic71⋊C4—21no—
646Dic71⋊C4—21no—
647Dic71⋊C4—21no—
648C22⋊Dic71—21no—
649C22⋊Dic71—21no—
650C22⋊Dic71—21no—
651C22⋊Dic71—21no—
652C22⋊Dic71—21no—
653C22⋊Dic71—21no—
654C22⋊Dic71—21no—
655(C2×D71)⋊C4—21no—
656(C2×D71)⋊C4—21no—
657(C2×D71)⋊C4—21no—
658(C2×D71)⋊C4—21no—
659(C2×D71)⋊C4—21no—
660(C2×D71)⋊C4—21no—
661(C2×D71)⋊C4—21no—
662(C2×D71)⋊C4—21no—
663(C2×D71)⋊C4—21no—
664(C2×D71)⋊C4—21no—
665(C2×D71)⋊C4—21no—
666(C2×D71)⋊C4—21no—
667(C2×D71)⋊C4—21no—
668(C2×D71)⋊C4—21no—
669(C2×D71)⋊C4—21no—
670(C2×D71)⋊C4—21no—
671(C2×D71)⋊C4—21no—
672(C2×D71)⋊C4—21no—
673(C2×D71)⋊C4—21no—
674(C2×D71)⋊C4—21no—
675(C2×D71)⋊C4—21no—
676(C2×D71)⋊C4—21no—
677(C2×D71)⋊C4—21no—
678(C2×D71)⋊C4—21no—
679(C2×D71)⋊C4—21no—
680(C2×D71)⋊C4—21no—
681C4×Dic71—21no—
682C4×Dic71—21no—
683C4×Dic71—21no—
684C4×Dic71—21no—
685C4×Dic71—21no—
686C24×C71C2×D411yescharacteristic
687#41×C71—41no—
688#41×C71—41no—
689C2×Q8×C71C2×D411yescharacteristic
690C2×D4×C71C2×D411yescharacteristic
691C2×D4×C71C2×D411yescharacteristic
692C2×D4×C71C2×D411yescharacteristic
693C2×D4×C71C2×D411yescharacteristic
694C2×D4×C71C2×D411yescharacteristic
695C2×D4×C71C2×D411yescharacteristic
696C2×D4×C71C2×D411yescharacteristic
697C22×C4×C71—41no—
698C22×C4×C71—41no—
699C22×C4×C71C2×D411yescharacteristic
700C22×C4×C71C2×D411yescharacteristic
701C22×C4×C71C2×D411yescharacteristic
702C22×C4×C71C2411yescharacteristic
703C22×C4×C71C2411yescharacteristic
704C22×C4×C71C2411yescharacteristic
705C22×C4×C71C2411yescharacteristic
706C22×C4×C71C2411yescharacteristic
707M16×C71—41no—
708M16×C71—41no—
709C2×C8×C71—41no—
710C2×C8×C71—41no—
711C2×C8×C71—41no—
712C2×C8×C71—41no—
713C2×C8×C71—41no—
714C2×C8×C71—41no—
715C2×C8×C71C2411yescharacteristic
716C2×C8×C71C2411yescharacteristic
717C2×C8×C71C2411yescharacteristic
718C2×C8×C71C2411yescharacteristic
719C2×C8×C71C2411yescharacteristic
720C2×C8×C71C2411yescharacteristic
721C2×C8×C71C2411yescharacteristic
722C2×C8×C71C2411yescharacteristic
723C4⋊C4×C71C2×D411yescharacteristic
724C4⋊C4×C71C2×D411yescharacteristic
725C4⋊C4×C71C2×D411yescharacteristic
726C4⋊C4×C71C2×D411yescharacteristic
727C4⋊C4×C71C2×D411yescharacteristic
728C4⋊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
736C22⋊C4×C71C2×D411yescharacteristic
737C22⋊C4×C71C2×D411yescharacteristic
738C22⋊C4×C71C2×D411yescharacteristic
739C42×C71C2411yescharacteristic
740C42×C71C2411yescharacteristic
741C23×C71—22no—
742C23×C71—41no—
743C23×C71—41no—
744C23×C71C22×D411yescharacteristic
745C23×C71C22×D411yescharacteristic
746C23×C71C22×D411yescharacteristic
747C23×C71C22×D411yescharacteristic
748C23×C71C22×D411yescharacteristic
749C22×D71—21no—
750C22×D71—21no—
751C22×D71—21no—
752C22×D71—21no—
753C22×D71—21no—
754C22×D71—21no—
755C22×D71—21no—
756C22×D71—42no—
757C22×D71—42no—
758C22×D71—42no—
759C22×D71—42no—
760C22×D71—42no—
761C22×D71—42no—
762C22×D71—81no—
763C22×D71—81no—
764C22×D71—81no—
765C22×D71—81no—
766C22×D71—81no—
767C22×D71—81no—
768C22×D71—81no—
769C22×D71—81no—
770C22×D71—81no—
771C22×D71—81no—
772C22×D71—81no—
773C22×D71—81no—
774Q8×C71—41no—
775D4×C71—22no—
776D4×C71—22no—
777D4×C71—41no—
778D4×C71—41no—
779D4×C71—41no—
780D4×C71—41no—
781D4×C71—41no—
782C2×C4×C71—21no—
783C2×C4×C71—21no—
784C2×C4×C71—21no—
785C2×C4×C71—21no—
786C2×C4×C71—21no—
787C2×C4×C71—21no—
788C2×C4×C71—21no—
789C2×C4×C71—21no—
790C2×C4×C71—21no—
791C2×C4×C71—21no—
792C2×C4×C71—41no—
793C2×C4×C71—41no—
794C2×C4×C71—41no—
795C2×C4×C71C22×D411yescharacteristic
796C2×C4×C71C22×D411yescharacteristic
797C2×C4×C71C22×D411yescharacteristic
798C2×C4×C71C22×D411yescharacteristic
799C2×C4×C71C22×D411yescharacteristic
800C2×C4×C71C22×D411yescharacteristic
801C2×C4×C71C22×D411yescharacteristic
802C2×C4×C71C22×D411yescharacteristic
803C2×C4×C71C22×D411yescharacteristic
804C2×C4×C71C2511yescharacteristic
805C22⋊D71—24no—
806C22⋊D71—42no—
807C22⋊D71—42no—
808C22⋊D71—42no—
809C22⋊D71—42no—
810C22⋊D71—42no—
811C22⋊D71—42no—
812C22⋊D71—42no—
813C22⋊D71—42no—
814C22⋊D71—81no—
815C22⋊D71—81no—
816C22⋊D71—81no—
817C22⋊D71—81no—
818C22⋊D71—81no—
819C22⋊D71—81no—
820C22⋊D71—81no—
821C22⋊D71—81no—
822C22⋊D71—81no—
823C22⋊D71—81no—
824C22⋊D71—81no—
825C22⋊D71—81no—
826C22⋊D71—81no—
827C22⋊D71—81no—
828C2×Dic71—21no—
829C2×Dic71—21no—
830C2×Dic71—21no—
831C2×Dic71—21no—
832C2×Dic71—21no—
833C2×Dic71—21no—
834C2×Dic71—21no—
835C2×Dic71—21no—
836C2×Dic71—21no—
837C2×Dic71—42no—
838C2×Dic71—42no—
839C2×Dic71—81no—
840C2×Dic71—81no—
841D284—21no—
842D284—21no—
843D284—21no—
844D284—21no—
845D284—21no—
846D284—21no—
847D284—21no—
848D284—21no—
849D284—21no—
850D284—21no—
851D284—21no—
852D284—21no—
853D284—21no—
854D284—42no—
855D284—42no—
856D284—42no—
857D284—42no—
858D284—81no—
859D284—81no—
860D284—81no—
861D284—81no—
862D284—81no—
863D284—81no—
864D284—81no—
865D284—81no—
866D284H(5,𝔽2)12yes—
867C4×D71—24no—
868C4×D71—42no—
869C4×D71—42no—
870C4×D71—42no—
871C4×D71—42no—
872C4×D71—42no—
873C4×D71—81no—
874C4×D71—81no—
875C4×D71—81no—
876C4×D71—81no—
877C4×D71—81no—
878C4×D71—81no—
879C4×D71—81no—
880Dic142—21no—
881Dic142—21no—
882Dic142—21no—
883Dic142—21no—
884Dic142—21no—
885Dic142—42no—
886Dic142—81no—
887Dic142H(5,𝔽2)12yes—
888C8×C71—21no—
889C8×C71—21no—
890C8×C71—21no—
891C8×C71—21no—
892C8×C71—21no—
893C8×C71—21no—
894C8×C71—21no—
895C8×C71—21no—
896C22×C71—21no—
897C22×C71—21no—
898C22×C71—21no—
899C22×C71—21no—
900C22×C71—21no—
901C22×C71—21no—
902C22×C71—21no—
903C22×C71—21no—
904C22×C71—21no—
905C22×C71—21no—
906C22×C71—21no—
907C22×C71—21no—
908C22×C71—21no—
909C22×C71—21no—
910C22×C71—82no—
911C22×C71#57612yes—
912C22×C71C23×D411yescharacteristic
913C2×D71—22no—
914C2×D71—41no—
915C2×D71—41no—
916C2×D71—41no—
917C2×D71—41no—
918C2×D71—41no—
919C2×D71—41no—
920C2×D71—41no—
921C2×D71—41no—
922C2×D71—41no—
923C2×D71—41no—
924C2×D71—41no—
925C2×D71—41no—
926C2×D71—41no—
927C2×D71—41no—
928C2×D71—41no—
929C2×D71—41no—
930C2×D71—41no—
931C2×D71—41no—
932C2×D71—41no—
933C2×D71—41no—
934C2×D71—84no—
935C2×D71—162no—
936C2×D71—162no—
937C2×D71—162no—
938C2×D71—162no—
939C2×D71—162no—
940C4×C71—21no—
941C4×C71—21no—
942C4×C71—21no—
943C4×C71—21no—
944C4×C71—21no—
945C4×C71—21no—
946C4×C71—21no—
947C4×C71—21no—
948C4×C71—21no—
949C4×C71C2×H(5,𝔽2)11yescharacteristic
950C4×C71C2×H(5,𝔽2)11yescharacteristic
951Dic71—22no—
952Dic71—41no—
953Dic71—41no—
954Dic71—41no—
955Dic71—41no—
956Dic71—41no—
957Dic71—41no—
958Dic71—41no—
959Dic71—41no—
960#61639—711nomaximal, Sylow
961C2×C71—22no—
962C2×C71—41no—
963C2×C71—41no—
964C2×C71—41no—
965C2×C71—41no—
966C2×C71#348411yescharacteristic
967C2×C71C2×#57611yescharacteristic
968C2×C71#358411yescharacteristic
969D71—42no—
970D71—81no—
971D71—81no—
972D71—81no—
973D71—81no—
974D71—81no—
975D71—81no—
976#3542—711no—
977#3488—711no—
978#3319—711no—
979#3310—711no—
980#3309—711no—
981#3308—711no—
982#3305—711no—
983#3300—711no—
984#3297—711no—
985#3294—711no—
986#3287—711no—
987#3282—711no—
988#3280—711no—
989D4×D8—711no—
990#3268—711no—
991#3268—711no—
992#3265—711no—
993#3264—711no—
994#3224—711no—
995#3220—711no—
996#3203—711no—
997#3198—711no—
998#3188—711no—
999#3186—711no—
1000#3124—711no—
1001#3119—711no—
1002#3012—711no—
1003#3008—711no—
1004#3002—711no—
1005C2×#449—711no—
1006#2977D7111yescharacteristic, complemented
1007C71#6163911yescharacteristic, complemented, Sylow
1008C2×H(5,𝔽2)—711no—
1009C22×#41—711no—
1010C2×AGL(1,ℤ/8)—711no—
1011C2×AGL(1,ℤ/8)—711no—
1012C2×#135—711no—
1013C2×#135—711no—
1014C2×#135—711no—
1015C22×SD16—711no—
1016C22×D8—711no—
1017C22×D8—711no—
1018#562—1421no—
1019#560—1421no—
1020#555—711no—
1021#553—711no—
1022#552—711no—
1023#551—1421no—
1024#550—711no—
1025#550—711no—
1026#550—711no—
1027#548—711no—
1028#548—711no—
1029#547—711no—
1030#546—711no—
1031#546—711no—
1032#546—711no—
1033#546—711no—
1034#546—1421no—
1035#546—1421no—
1036#546—1421no—
1037D42—711no—
1038D42—711no—
1039D42—711no—
1040D42—1421no—
1041D42—1421no—
1042#542—711no—
1043#540—711no—
1044#540—1421no—
1045#538—1421no—
1046#537—711no—
1047#537—711no—
1048#537—1421no—
1049#535—711no—
1050#535—711no—
1051#535—1421no—
1052#535—1421no—
1053#534—1421no—
1054#525—711no—
1055#525—1421no—
1056#525C2×D7111yescharacteristic
1057C2×#121—711no—
1058C2×#121—711no—
1059C2×#121—1421no—
1060#520—711no—
1061#496—711no—
1062#496—711no—
1063#495—711no—
1064#493—711no—
1065#490—711no—
1066#489—711no—
1067#488—711no—
1068#486—711no—
1069#485—711no—
1070#484—711no—
1071#484—711no—
1072#482—711no—
1073#482—711no—
1074#482—711no—
1075#481—711no—
1076#480—711no—
1077#480—711no—
1078#480—711no—
1079#480—711no—
1080#480—711no—
1081#479—711no—
1082#478—711no—
1083#477—711no—
1084#474—711no—
1085#469—711no—
1086#468—711no—
1087#468—711no—
1088#468—711no—
1089#467—711no—
1090#466—711no—
1091#466—711no—
1092#466—711no—
1093#466—711no—
1094#466—711no—
1095#466—711no—
1096#466—711no—
1097#466—711no—
1098#465—711no—
1099#465—711no—
1100#465—711no—
1101#464—711no—
1102#464—711no—
1103#463—711no—
1104#463—711no—
1105#463—711no—
1106#463—711no—
1107#460—711no—
1108#460—711no—
1109#459—711no—
1110#459—711no—
1111#459—711no—
1112#459—711no—
1113#452—711no—
1114#452—711no—
1115#452—711no—
1116#452—711no—
1117#451—711no—
1118#450—711no—
1119#450—711no—
1120#450—711no—
1121#450—711no—
1122#449—711no—
1123#449—711no—
1124#449—711no—
1125#449—711no—
1126#449—711no—
1127#449—711no—
1128#449—711no—
1129#449—711no—
1130#449—711no—
1131#449—711no—
1132#449—711no—
1133#449—711no—
1134#449—711no—
1135#449—711no—
1136#449—711no—
1137#449—711no—
1138#448—711no—
1139#447—711no—
1140#447—711no—
1141#447—711no—
1142#447—711no—
1143#447—711no—
1144#447—711no—
1145#447—711no—
1146#447—711no—
1147#447—711no—
1148#447—711no—
1149#442—711no—
1150#440—711no—
1151#440—711no—
1152#440—711no—
1153C4×Q16—711no—
1154C4×SD16—711no—
1155C4×D8—711no—
1156C4×D8—711no—
1157#435C2×D7111yescharacteristic, complemented
1158#435C2×D7111yescharacteristic, complemented
1159#435C2×D7111yescharacteristic, complemented
1160#435C2×D7111yescharacteristic, complemented
1161C8×D4C2×D7111yescharacteristic, complemented
1162C8×D4C2×D7111yescharacteristic, complemented
1163C8×D4C2×D7111yescharacteristic, complemented
1164C8×D4C2×D7111yescharacteristic, complemented
1165#433C2×D7111yescharacteristic, complemented
1166#433C2×D7111yescharacteristic, complemented
1167#418—711no—
1168#417—711no—
1169#416—711no—
1170#416—711no—
1171#416—711no—
1172C2×#103—711no—
1173C2×#102—711no—
1174C2×#102—711no—
1175#408C2×D7111yescharacteristic, complemented
1176#408C2×D7111yescharacteristic, complemented
1177C2×C22⋊C8C2×D7111yescharacteristic, complemented
1178C2×C22⋊C8C2×D7111yescharacteristic, complemented
1179H(5,𝔽2)—2842no—
1180H(5,𝔽2)—2842no—
1181C2×#41—2842no—
1182C2×#41—2842no—
1183C2×#41—711no—
1184C2×#41—711no—
1185C2×#41—711no—
1186C2×#41—711no—
1187C2×#41—711no—
1188C2×#41—711no—
1189C2×#41—711no—
1190C2×#41—711no—
1191C2×#41—1421no—
1192C2×#41—1421no—
1193C2×#41—1421no—
1194C2×#41—1421no—
1195C2×#41C22×D7111yescharacteristic
1196C22×Q8—711no—
1197C22×D4—711no—
1198C22×D4—711no—
1199C22×D4—711no—
1200C22×D4—711no—
1201C22×D4—711no—
1202C22×D4—711no—
1203C22×D4—1421no—
1204C22×D4—1421no—
1205C22×D4—1421no—
1206C22×D4—1421no—
1207C22×D4—1421no—
1208C22×D4—1421no—
1209C22×D4—1421no—
1210C22×D4—1421no—
1211C22×D4—1421no—
1212C23×C4—1421no—
1213C23×C4C22×D7111yescharacteristic
1214AGL(1,ℤ/8)—2842no—
1215AGL(1,ℤ/8)—2842no—
1216#135—2842no—
1217#135—2842no—
1218#135—2842no—
1219C2×Q16—711no—
1220C2×Q16—711no—
1221C2×SD16—2842no—
1222C2×SD16—711no—
1223C2×SD16—711no—
1224C2×SD16—711no—
1225C2×SD16—711no—
1226C2×SD16—711no—
1227C2×SD16—711no—
1228C2×SD16—711no—
1229C2×SD16—711no—
1230C2×SD16—711no—
1231C2×SD16—711no—
1232C2×D8—2842no—
1233C2×D8—2842no—
1234C2×D8—711no—
1235C2×D8—711no—
1236C2×D8—711no—
1237C2×D8—711no—
1238C2×D8—711no—
1239C2×D8—711no—
1240C2×D8—711no—
1241C2×D8—711no—
1242C2×D8—711no—
1243C2×D8—711no—
1244C2×D8—711no—
1245C2×D8—711no—
1246C2×M16C22×D7111yescharacteristic
1247C2×M16C22×D7111yescharacteristic
1248C22×C8C22×D7111yescharacteristic
1249C22×C8C22×D7111yescharacteristic
1250C22×C8C22×D7111yescharacteristic
1251C22×C8C22×D7111yescharacteristic
1252C22×C8C22×D7111yescharacteristic
1253C22×C8C22×D7111yescharacteristic
1254C4⋊Q8—711no—
1255#127—711no—
1256#127—711no—
1257#127—711no—
1258#127—1421no—
1259#127—1421no—
1260#127—1421no—
1261#127—1421no—
1262#126—1421no—
1263#126—1421no—
1264#126—1421no—
1265#125—711no—
1266#125—1421no—
1267#124—711no—
1268#124—711no—
1269#124—711no—
1270#124—1421no—
1271#124—1421no—
1272#124—1421no—
1273#124—1421no—
1274#124—1421no—
1275#124—1421no—
1276#123—1421no—
1277#123—1421no—
1278#123—1421no—
1279#123—1421no—
1280#123—1421no—
1281#123—1421no—
1282#123—1421no—
1283#123—1421no—
1284#123—1421no—
1285#123—1421no—
1286#123—1421no—
1287#123—1421no—
1288#123D28411yescharacteristic
1289#123D28411yescharacteristic
1290C22⋊Q8—711no—
1291C22⋊Q8—711no—
1292C22⋊Q8—711no—
1293C22⋊Q8—711no—
1294C22⋊Q8—711no—
1295C22⋊Q8—1421no—
1296C22⋊Q8—1421no—
1297C22⋊Q8—1421no—
1298C22⋊Q8—1421no—
1299C22⋊Q8—1421no—
1300C22⋊Q8—1421no—
1301C22⋊Q8D28411yescharacteristic
1302C22⋊Q8D28411yescharacteristic
1303#121—711no—
1304#121—711no—
1305#121—711no—
1306#121—711no—
1307#121—711no—
1308#121—711no—
1309#121—711no—
1310#121—711no—
1311#121—711no—
1312#121—711no—
1313#121—711no—
1314#121—711no—
1315#121—711no—
1316#121—711no—
1317#121—711no—
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#121—1421no—
1328#121—1421no—
1329#121—1421no—
1330#121—1421no—
1331#121—1421no—
1332#121—1421no—
1333#121—1421no—
1334#121—1421no—
1335#121—1421no—
1336#121—1421no—
1337#121—1421no—
1338#121—1421no—
1339#121—1421no—
1340#121—1421no—
1341#121—1421no—
1342#121—1421no—
1343#121—1421no—
1344#121—1421no—
1345#121—1421no—
1346#121—1421no—
1347#121—1421no—
1348#121—1421no—
1349#121D28411yescharacteristic
1350#121D28411yescharacteristic
1351#120—1421no—
1352#120—1421no—
1353#120—1421no—
1354#120—1421no—
1355#120—1421no—
1356#120—1421no—
1357#120—1421no—
1358#120—1421no—
1359#120—1421no—
1360#120—1421no—
1361#120—1421no—
1362#120—1421no—
1363#120—1421no—
1364#120—1421no—
1365#120—1421no—
1366#120D28411yescharacteristic
1367#120D28411yescharacteristic
1368C4×Q8—711no—
1369C4×Q8—711no—
1370C4×Q8—711no—
1371C4×D4—711no—
1372C4×D4—711no—
1373C4×D4—711no—
1374C4×D4—711no—
1375C4×D4—711no—
1376C4×D4—1421no—
1377C4×D4—1421no—
1378C4×D4—1421no—
1379C4×D4—1421no—
1380C4×D4—1421no—
1381C4×D4—1421no—
1382C4×D4—1421no—
1383C4×D4—1421no—
1384C4×D4—1421no—
1385C4×D4—1421no—
1386C4×D4C22×D7111yescharacteristic
1387C4×D4C22×D7111yescharacteristic
1388C4×D4C22×D7111yescharacteristic
1389C4×D4C22×D7111yescharacteristic
1390#117—711no—
1391#117—711no—
1392#117—1421no—
1393#117—1421no—
1394#117—1421no—
1395#117C22×D7111yescharacteristic
1396C2×C4⋊C4—711no—
1397C2×C4⋊C4—711no—
1398C2×C4⋊C4—711no—
1399C2×C4⋊C4—1421no—
1400C2×C22⋊C4—1421no—
1401C2×C22⋊C4—1421no—
1402C2×C22⋊C4—1421no—
1403C2×C22⋊C4—1421no—
1404C2×C22⋊C4—1421no—
1405C2×C22⋊C4—1421no—
1406#107—711no—
1407#107—711no—
1408#107—711no—
1409#107—711no—
1410#107—711no—
1411#107—711no—
1412#106—711no—
1413#106—711no—
1414C4⋊C8C22×D7111yescharacteristic
1415C4⋊C8C22×D7111yescharacteristic
1416C4⋊C8C22×D7111yescharacteristic
1417C4⋊C8C22×D7111yescharacteristic
1418#103—711no—
1419#103—711no—
1420#103—711no—
1421#103—711no—
1422#103—711no—
1423#103—711no—
1424#103—711no—
1425#103—711no—
1426#103—711no—
1427#103—711no—
1428#102—711no—
1429#102—711no—
1430#102—711no—
1431#102—711no—
1432#102—711no—
1433#102—711no—
1434#102—711no—
1435#102—711no—
1436#102—711no—
1437#102—711no—
1438#102—711no—
1439#102—711no—
1440#102—711no—
1441#102—711no—
1442#102—711no—
1443#102—711no—
1444#102—711no—
1445#102—711no—
1446#102—711no—
1447#102—711no—
1448#102—711no—
1449#102—711no—
1450C22⋊C8C22×D7111yescharacteristic
1451C22⋊C8C22×D7111yescharacteristic
1452C22⋊C8C22×D7111yescharacteristic
1453C22⋊C8C22×D7111yescharacteristic
1454C22⋊C8C22×D7111yescharacteristic
1455C22⋊C8C22×D7111yescharacteristic
1456C22⋊C8C22×D7111yescharacteristic
1457C22⋊C8C22×D7111yescharacteristic
1458C22⋊C8C22×D7111yescharacteristic
1459C22⋊C8C22×D7111yescharacteristic
1460C22⋊C8C22×D7111yescharacteristic
1461C22⋊C8C22×D7111yescharacteristic
1462#97C22×D7111yescharacteristic
1463#97C22×D7111yescharacteristic
1464C4×C8C22×D7111yescharacteristic
1465C4×C8C22×D7111yescharacteristic
1466C24—1421no—
1467C24—1421no—
1468C24—1421no—
1469C24—1421no—
1470C24—1421no—
1471C24—1421no—
1472C24C2×D28411yescharacteristic
1473#41—41no—
1474#41—41no—
1475#41—2841no—
1476#41—2841no—
1477#41—2841no—
1478#41—2841no—
1479#41—2841no—
1480#41—2841no—
1481#41—2841no—
1482#41—2841no—
1483#41—2841no—
1484#41—2841no—
1485#41—2844no—
1486#41—2844no—
1487#41—2844no—
1488#41—5682no—
1489#41—1422no—
1490#41—1422no—
1491#41—1422no—
1492#41—1422no—
1493#41—1422no—
1494#41—1422no—
1495C2×Q8—2841no—
1496C2×Q8—711no—
1497C2×Q8—711no—
1498C2×Q8—711no—
1499C2×Q8—1422no—
1500C2×Q8—1421no—
1501C2×Q8—1421no—
1502C2×Q8C2×D28411yescharacteristic
1503C2×D4—2841no—
1504C2×D4—2841no—
1505C2×D4—2841no—
1506C2×D4—2841no—
1507C2×D4—2841no—
1508C2×D4—2841no—
1509C2×D4—2841no—
1510C2×D4—2841no—
1511C2×D4—2841no—
1512C2×D4—2844no—
1513C2×D4—2844no—
1514C2×D4—2844no—
1515C2×D4—2844no—
1516C2×D4—5682no—
1517C2×D4—5682no—
1518C2×D4—5682no—
1519C2×D4—5682no—
1520C2×D4—5682no—
1521C2×D4—711no—
1522C2×D4—711no—
1523C2×D4—711no—
1524C2×D4—711no—
1525C2×D4—711no—
1526C2×D4—711no—
1527C2×D4—711no—
1528C2×D4—1422no—
1529C2×D4—1422no—
1530C2×D4—1422no—
1531C2×D4—1421no—
1532C2×D4—1421no—
1533C2×D4—1421no—
1534C2×D4—1421no—
1535C2×D4—1421no—
1536C2×D4—1421no—
1537C2×D4—1421no—
1538C2×D4—1421no—
1539C2×D4—1421no—
1540C2×D4—1421no—
1541C2×D4—1421no—
1542C2×D4—1421no—
1543C2×D4—1421no—
1544C2×D4—1421no—
1545C2×D4—1421no—
1546C2×D4—1421no—
1547C2×D4—1421no—
1548C2×D4—1421no—
1549C2×D4—1421no—
1550C2×D4—1421no—
1551C2×D4—1421no—
1552C2×D4—1421no—
1553C2×D4—1421no—
1554C2×D4—1421no—
1555C2×D4—1421no—
1556C2×D4—1421no—
1557C2×D4—1421no—
1558C2×D4—1421no—
1559C2×D4—1421no—
1560C2×D4—1421no—
1561C2×D4—1421no—
1562C2×D4—1421no—
1563C2×D4—1421no—
1564C2×D4—1421no—
1565C2×D4—1421no—
1566C2×D4C2×D28411yescharacteristic
1567C2×D4C2×D28411yescharacteristic
1568C2×D4C2×D28411yescharacteristic
1569C2×D4C2×D28411yescharacteristic
1570C2×D4C2×D28411yescharacteristic
1571C2×D4C2×D28411yescharacteristic
1572C2×D4C2×D28411yescharacteristic
1573C22×C4—41no—
1574C22×C4—41no—
1575C22×C4—2844no—
1576C22×C4—1421no—
1577C22×C4—1421no—
1578C22×C4—1421no—
1579C22×C4—1421no—
1580C22×C4—1421no—
1581C22×C4—1421no—
1582C22×C4—1421no—
1583C22×C4—1421no—
1584C22×C4—1421no—
1585C22×C4—1421no—
1586C22×C4—1421no—
1587C22×C4—1421no—
1588C22×C4—1421no—
1589C22×C4—1421no—
1590C22×C4—1421no—
1591C22×C4—1421no—
1592C22×C4—1421no—
1593C22×C4C2×D28411yescharacteristic
1594C22×C4C2×D28411yescharacteristic
1595C22×C4C2×D28411yescharacteristic
1596C22×C4C23×D7111yescharacteristic
1597C22×C4C23×D7111yescharacteristic
1598C22×C4C23×D7111yescharacteristic
1599C22×C4C23×D7111yescharacteristic
1600C22×C4C23×D7111yescharacteristic
1601Q16—2841no—
1602Q16—1422no—
1603SD16—2841no—
1604SD16—2841no—
1605SD16—2841no—
1606SD16—2841no—
1607SD16—2841no—
1608SD16—2841no—
1609SD16—1422no—
1610SD16—1422no—
1611SD16—1422no—
1612SD16—1422no—
1613D8—2841no—
1614D8—2841no—
1615D8—2841no—
1616D8—2841no—
1617D8—2841no—
1618D8—2841no—
1619D8—2841no—
1620D8—2841no—
1621D8—2841no—
1622D8—1422no—
1623D8—1422no—
1624D8—1422no—
1625M16—41no—
1626M16—41no—
1627C2×C8—41no—
1628C2×C8—41no—
1629C2×C8—41no—
1630C2×C8—41no—
1631C2×C8—41no—
1632C2×C8—41no—
1633C2×C8C23×D7111yescharacteristic
1634C2×C8C23×D7111yescharacteristic
1635C2×C8C23×D7111yescharacteristic
1636C2×C8C23×D7111yescharacteristic
1637C2×C8C23×D7111yescharacteristic
1638C2×C8C23×D7111yescharacteristic
1639C2×C8C23×D7111yescharacteristic
1640C2×C8C23×D7111yescharacteristic
1641C4⋊C4—711no—
1642C4⋊C4—711no—
1643C4⋊C4—711no—
1644C4⋊C4—711no—
1645C4⋊C4—711no—
1646C4⋊C4—711no—
1647C4⋊C4—1421no—
1648C4⋊C4—1421no—
1649C4⋊C4—1421no—
1650C4⋊C4—1421no—
1651C4⋊C4—1421no—
1652C4⋊C4—1421no—
1653C4⋊C4—1421no—
1654C4⋊C4—1421no—
1655C4⋊C4—1421no—
1656C4⋊C4—1421no—
1657C4⋊C4—1421no—
1658C4⋊C4—1421no—
1659C4⋊C4—1421no—
1660C4⋊C4—1421no—
1661C4⋊C4C2×D28411yescharacteristic
1662C4⋊C4C2×D28411yescharacteristic
1663C4⋊C4C2×D28411yescharacteristic
1664C4⋊C4C2×D28411yescharacteristic
1665C4⋊C4C2×D28411yescharacteristic
1666C4⋊C4C2×D28411yescharacteristic
1667C22⋊C4—1421no—
1668C22⋊C4—1421no—
1669C22⋊C4—1421no—
1670C22⋊C4—1421no—
1671C22⋊C4—1421no—
1672C22⋊C4—1421no—
1673C22⋊C4—1421no—
1674C22⋊C4—1421no—
1675C22⋊C4—1421no—
1676C22⋊C4—1421no—
1677C22⋊C4—1421no—
1678C22⋊C4—1421no—
1679C22⋊C4—1421no—
1680C22⋊C4—1421no—
1681C22⋊C4—1421no—
1682C22⋊C4—1421no—
1683C22⋊C4—1421no—
1684C22⋊C4—1421no—
1685C22⋊C4—1421no—
1686C22⋊C4—1421no—
1687C22⋊C4—1421no—
1688C22⋊C4—1421no—
1689C22⋊C4—1421no—
1690C22⋊C4—1421no—
1691C22⋊C4—1421no—
1692C22⋊C4—1421no—
1693C22⋊C4—1421no—
1694C22⋊C4—1421no—
1695C22⋊C4—1421no—
1696C22⋊C4—1421no—
1697C22⋊C4—1421no—
1698C22⋊C4—1421no—
1699C22⋊C4—1421no—
1700C22⋊C4C2×D28411yescharacteristic
1701C22⋊C4C2×D28411yescharacteristic
1702C22⋊C4C2×D28411yescharacteristic
1703C22⋊C4C2×D28411yescharacteristic
1704C22⋊C4C2×D28411yescharacteristic
1705C22⋊C4C2×D28411yescharacteristic
1706C22⋊C4C2×D28411yescharacteristic
1707C22⋊C4C2×D28411yescharacteristic
1708C22⋊C4C2×D28411yescharacteristic
1709C22⋊C4C2×D28411yescharacteristic
1710C42—1421no—
1711C42—1421no—
1712C42—1421no—
1713C42—1421no—
1714C42—1421no—
1715C42C23×D7111yescharacteristic
1716C42C23×D7111yescharacteristic
1717C23—22no—
1718C23—41no—
1719C23—41no—
1720C23—2842no—
1721C23—2842no—
1722C23—2842no—
1723C23—2842no—
1724C23—2842no—
1725C23—2842no—
1726C23—5681no—
1727C23—5681no—
1728C23—5681no—
1729C23—5681no—
1730C23—5681no—
1731C23—5681no—
1732C23—5681no—
1733C23—5681no—
1734C23—5681no—
1735C23—5681no—
1736C23—5681no—
1737C23—5681no—
1738C23—1421no—
1739C23—1421no—
1740C23—1421no—
1741C23—1421no—
1742C23—1421no—
1743C23—1421no—
1744C23—1421no—
1745C23C22×D28411yescharacteristic
1746C23C22×D28411yescharacteristic
1747C23C22×D28411yescharacteristic
1748C23C22×D28411yescharacteristic
1749C23C22×D28411yescharacteristic
1750Q8—41no—
1751Q8—2842no—
1752Q8—5681no—
1753Q8—712no—
1754Q8—1421no—
1755Q8—1421no—
1756Q8—1421no—
1757Q8—1421no—
1758Q8—1421no—
1759D4—22no—
1760D4—22no—
1761D4—41no—
1762D4—41no—
1763D4—41no—
1764D4—41no—
1765D4—41no—
1766D4—2842no—
1767D4—2842no—
1768D4—2842no—
1769D4—2842no—
1770D4—2842no—
1771D4—2842no—
1772D4—2842no—
1773D4—2842no—
1774D4—2842no—
1775D4—2842no—
1776D4—2842no—
1777D4—2842no—
1778D4—5681no—
1779D4—5681no—
1780D4—5681no—
1781D4—5681no—
1782D4—5681no—
1783D4—5681no—
1784D4—5681no—
1785D4—5681no—
1786D4—5681no—
1787D4—5681no—
1788D4—5681no—
1789D4—5681no—
1790D4—5681no—
1791D4—5681no—
1792D4—5681no—
1793D4—5681no—
1794D4—5681no—
1795D4—5681no—
1796D4—5681no—
1797D4—5681no—
1798D4—5681no—
1799D4—5681no—
1800D4—712no—
1801D4—1424no—
1802D4—1421no—
1803D4—1421no—
1804D4—1421no—
1805D4—1421no—
1806D4—1421no—
1807D4—1421no—
1808D4—1421no—
1809D4—1421no—
1810D4—1421no—
1811D4—1421no—
1812D4—1421no—
1813D4—1421no—
1814D4—1421no—
1815C2×C4—21no—
1816C2×C4—21no—
1817C2×C4—21no—
1818C2×C4—21no—
1819C2×C4—21no—
1820C2×C4—21no—
1821C2×C4—21no—
1822C2×C4—21no—
1823C2×C4—21no—
1824C2×C4—21no—
1825C2×C4—41no—
1826C2×C4—41no—
1827C2×C4—41no—
1828C2×C4—2842no—
1829C2×C4—2842no—
1830C2×C4—2842no—
1831C2×C4—2842no—
1832C2×C4—2842no—
1833C2×C4—2842no—
1834C2×C4—2842no—
1835C2×C4—5681no—
1836C2×C4—5681no—
1837C2×C4—5681no—
1838C2×C4—5681no—
1839C2×C4—5681no—
1840C2×C4—5681no—
1841C2×C4—5681no—
1842C2×C4—5681no—
1843C2×C4—5681no—
1844C2×C4—1424no—
1845C2×C4—1421no—
1846C2×C4—1421no—
1847C2×C4—1421no—
1848C2×C4—1421no—
1849C2×C4—1421no—
1850C2×C4—1421no—
1851C2×C4—1421no—
1852C2×C4—1421no—
1853C2×C4—1421no—
1854C2×C4C22×D28411yescharacteristic
1855C2×C4C22×D28411yescharacteristic
1856C2×C4C22×D28411yescharacteristic
1857C2×C4C22×D28411yescharacteristic
1858C2×C4C22×D28411yescharacteristic
1859C2×C4C22×D28411yescharacteristic
1860C2×C4C22×D28411yescharacteristic
1861C2×C4C22×D28411yescharacteristic
1862C2×C4C22×D28411yescharacteristic
1863C2×C4C24×D7111yescharacteristic
1864C8—21no—
1865C8—21no—
1866C8—21no—
1867C8—21no—
1868C8—21no—
1869C8—21no—
1870C8—21no—
1871C8—21no—
1872C22—21no—
1873C22—21no—
1874C22—21no—
1875C22—21no—
1876C22—21no—
1877C22—21no—
1878C22—21no—
1879C22—21no—
1880C22—21no—
1881C22—21no—
1882C22—21no—
1883C22—21no—
1884C22—21no—
1885C22—21no—
1886C22—82no—
1887C22—2841no—
1888C22—2841no—
1889C22—2841no—
1890C22—2841no—
1891C22—2841no—
1892C22—2841no—
1893C22—2841no—
1894C22—2841no—
1895C22—2841no—
1896C22—2841no—
1897C22—2841no—
1898C22—2841no—
1899C22—2841no—
1900C22—2841no—
1901C22—2841no—
1902C22—2841no—
1903C22—2841no—
1904C22—2841no—
1905C22—2841no—
1906C22—2841no—
1907C22—5684no—
1908C22—11362no—
1909C22—11362no—
1910C22—11362no—
1911C22—11362no—
1912C22—11362no—
1913C22—1422no—
1914C22#1798680412yes—
1915C22C23×D28411yescharacteristic
1916C4—21no—
1917C4—21no—
1918C4—21no—
1919C4—21no—
1920C4—21no—
1921C4—21no—
1922C4—21no—
1923C4—21no—
1924C4—21no—
1925C4—2841no—
1926C4—2841no—
1927C4—2841no—
1928C4—2841no—
1929C4—2841no—
1930C4—2841no—
1931C4—2841no—
1932C4—2841no—
1933C4—1422no—
1934C4H(5,𝔽2)×D7111yescharacteristic
1935C4H(5,𝔽2)×D7111yescharacteristic
1936C2—22no—
1937C2—41no—
1938C2—41no—
1939C2—41no—
1940C2—41no—
1941C2—2842no—
1942C2—5681no—
1943C2—5681no—
1944C2—5681no—
1945C2—5681no—
1946C2—5681no—
1947C2—5681no—
1948C2#2260197611yescharacteristic
1949C2C2×#1798680411yescharacteristic
1950C2#2260311411yescharacteristic
subgroupG/H
centerC22C23×D284
commutator, cosocleC2×C4×C71C25
FrattiniC2×C4C24×D71
FittingC71×#2977C2
socleC22×C71C23×D4
hypercenter#2977D71
hypocenterC71#61639
LCSG ▷ C2×C4×C71 ▷ C2×C71 ▷ C71
UCSC1 ◁ C22 ◁ #525 ◁ #2977

Complements

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

NH ≅ G/Ntype
1. #22602656C2semidirect
2. #22602001C2semidirect
3. #22600498C2semidirect
4. #22600363C2semidirect
5. #22600348C2semidirect
6. #22600333C2semidirect
7. #22600291C2semidirect
8. #22600229C2semidirect
9. #22600192C2semidirect
10. #22600154C2semidirect
11. #22600100C2semidirect
12. #22600052C2semidirect
13. #22600027C2semidirect
14. D4×D568C2semidirect
15. #22599885C2semidirect
16. #22599885C2semidirect
17. #22599840C2semidirect
18. #22599825C2semidirect
19. #22599436C2semidirect
20. #22599392C2semidirect
21. #22599242C2semidirect
22. #22599194C2semidirect
23. #22599107C2semidirect
24. #22599091C2semidirect
25. #22598604C2semidirect
26. #22598541C2semidirect
27. #22597647C2semidirect
28. #22597610C2semidirect
29. #22597562C2semidirect
30. C2×#17986146C2semidirect
31. C71×#2977C2semidirect
32. C2×#14556174C22semidirect
33. C22×#11765865C22semidirect
34. C2×#14556156C22semidirect
35. C2×#14556156C22semidirect
36. C2×#14556150C22semidirect
37. C2×#14556150C22semidirect
38. C2×#14556150C22semidirect
39. C22×#11765854C22semidirect
40. C22×D568C22semidirect
41. C22×D568C22semidirect
44. #17986714C22semidirect
45. #17986695C22semidirect
46. #17986689C22semidirect
48. #17986670C22semidirect
49. #17986670C22semidirect
50. #17986670C22semidirect
52. #17986658C22semidirect
53. #17986653C22semidirect
54. #17986645C22semidirect
55. #17986645C22semidirect
56. #17986645C22semidirect
57. #17986645C22semidirect
62. D4×D284C22semidirect
63. D4×D284C22semidirect
66. #17986620C22semidirect
67. #17986604C22semidirect
71. #17986577C22semidirect
72. #17986577C22semidirect
73. #17986568C22semidirect
76. #17986563C22semidirect
79. #17986510C22semidirect
80. C2×#14556102C22semidirect
81. C2×#14556102C22semidirect
83. #17986479C22semidirect
84. #17986388C22semidirect
85. #17986388C22semidirect
86. #17986383C22semidirect
87. #17986376C22semidirect
88. #17986364C22semidirect
89. #17986359C22semidirect
90. #17986354C22semidirect
91. #17986346C22semidirect
92. #17986341C22semidirect
93. #17986335C22semidirect
94. #17986335C22semidirect
95. #17986324C22semidirect
96. #17986324C22semidirect
97. #17986324C22semidirect
98. #17986318C22semidirect
99. #17986313C22semidirect
100. #17986313C22semidirect
101. #17986313C22semidirect
102. #17986313C22semidirect
103. #17986313C22semidirect
104. #17986307C22semidirect
105. #17986300C22semidirect
106. #17986295C22semidirect
107. #17986280C22semidirect
108. #17986252C22semidirect
109. #17986245C22semidirect
110. #17986245C22semidirect
111. #17986245C22semidirect
112. #17986240C22semidirect
113. #17986235C22semidirect
114. #17986235C22semidirect
115. #17986235C22semidirect
116. #17986235C22semidirect
117. #17986235C22semidirect
118. #17986235C22semidirect
119. #17986235C22semidirect
120. #17986235C22semidirect
121. #17986228C22semidirect
122. #17986228C22semidirect
123. #17986228C22semidirect
124. #17986222C22semidirect
125. #17986222C22semidirect
126. #17986215C22semidirect
127. #17986215C22semidirect
128. #17986215C22semidirect
129. #17986215C22semidirect
130. #17986200C22semidirect
131. #17986200C22semidirect
132. #17986195C22semidirect
133. #17986195C22semidirect
134. #17986195C22semidirect
135. #17986195C22semidirect
136. #17986163C22semidirect
137. #17986163C22semidirect
138. #17986163C22semidirect
139. #17986163C22semidirect
140. #17986157C22semidirect
141. #17986152C22semidirect
142. #17986152C22semidirect
143. #17986152C22semidirect
144. #17986152C22semidirect
146. #17986146C22semidirect
147. #17986146C22semidirect
148. #17986146C22semidirect
149. #17986146C22semidirect
150. #17986146C22semidirect
151. #17986146C22semidirect
152. #17986146C22semidirect
153. #17986146C22semidirect
154. #17986146C22semidirect
155. #17986146C22semidirect
156. #17986146C22semidirect
157. #17986146C22semidirect
158. #17986146C22semidirect
159. #17986146C22semidirect
160. #17986146C22semidirect
161. #17986140C22semidirect
162. #17986135C22semidirect
163. #17986135C22semidirect
164. #17986135C22semidirect
165. #17986135C22semidirect
166. #17986135C22semidirect
167. #17986135C22semidirect
168. #17986135C22semidirect
169. #17986135C22semidirect
170. #17986135C22semidirect
171. #17986135C22semidirect
172. #17986112C22semidirect
173. #17986101C22semidirect
174. #17986101C22semidirect
175. #17986101C22semidirect
176. C4×Dic284C22semidirect
177. C4×#11765854C22semidirect
178. C4×D568C22semidirect
179. C4×D568C22semidirect
180. #17986005C22semidirect
181. #17986001C22semidirect
182. #17985996C22semidirect
183. #17985996C22semidirect
184. #17985996C22semidirect
185. C2×#14556053C22semidirect
186. C2×#14556050C22semidirect
187. C2×#14556050C22semidirect
189. #435×C71C22semidirect
190. #435×C71C22semidirect
191. #435×C71C22semidirect
192. #435×C71C22semidirect
193. C8×D4×C71C22semidirect
194. C8×D4×C71C22semidirect
195. C8×D4×C71C22semidirect
196. C8×D4×C71C22semidirect
197. #433×C71C22semidirect
198. #433×C71C22semidirect
199. #408×C71C22semidirect
200. #408×C71C22semidirect
201. C2×C22⋊C8×C71C22semidirect
202. C2×C22⋊C8×C71C22semidirect
1006. #2977D71semidirect
1007. C71#61639semidirect
1157. #435C2×D71semidirect
1158. #435C2×D71semidirect
1159. #435C2×D71semidirect
1160. #435C2×D71semidirect
1161. C8×D4C2×D71semidirect
1162. C8×D4C2×D71semidirect
1163. C8×D4C2×D71semidirect
1164. C8×D4C2×D71semidirect
1165. #433C2×D71semidirect
1166. #433C2×D71semidirect
1175. #408C2×D71semidirect
1176. #408C2×D71semidirect
1177. C2×C22⋊C8C2×D71semidirect
1178. C2×C22⋊C8C2×D71semidirect

Maximal subgroups

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

subgroupindex
#226026562
#226020012
#226004982
#226003632
#226003482
#226003332
#226002912
#226002292
#226001922
#226001542
#226001002
#226000522
#226000272
D4×D5682
#225998852
#225998402
#225998252
#225994362
#225993922
#225992422
#225991942
#225991072
#225990912
#225986042
#225985412
#225976472
#225976102
#225975622
C2×#179861462
C71×#29772
#6163971