Finite Group Databasebeta

← #15650557

Subgroups — #15650557

Order 2816.

1684 conjugacy classes of subgroups.

The subgroup lattice has 1632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083053C211yesmaximal, characteristic, complemented
2#13081579C211yesmaximal, characteristic, complemented
3#13081533C211yesmaximal, characteristic, complemented
4#13081452C211yesmaximal, characteristic, complemented
5#13081330C211yesmaximal, characteristic, complemented
6#13081146C211yesmaximal, characteristic, complemented
7#13081101C211yesmaximal, characteristic, complemented
8#13081095C211yesmaximal, characteristic, complemented
9#13081056C211yesmaximal, characteristic, complemented
10#13081012C211yesmaximal, characteristic, complemented
11#13081004C211yesmaximal, characteristic, complemented
12#13080787C211yesmaximal, characteristic, complemented
13#13080727C211yesmaximal, characteristic, complemented
14#13080682C211yesmaximal, characteristic, complemented
15#13080607C211yesmaximal, characteristic, complemented
16#13080518C211yesmaximal, characteristic, complemented
17#13080492C211yesmaximal, characteristic, complemented
18#13080072C211yesmaximal, characteristic, complemented
19#13080036C211yesmaximal, characteristic, complemented
20#13079963C211yesmaximal, characteristic, complemented
21#13079893C211yesmaximal, characteristic, complemented
22#13079878C211yesmaximal, characteristic, complemented
23#13079843C211yesmaximal, characteristic, complemented
24#13078878C211yesmaximal, characteristic, complemented
25#13078845C211yesmaximal, characteristic, complemented
26#13078787C211yesmaximal, characteristic, complemented
27#13078467C211yesmaximal, characteristic, complemented
28#13078458C211yesmaximal, characteristic, complemented
29C2×#10622634C211yesmaximal, characteristic, complemented
30#13077755C211yesmaximal, characteristic, complemented
31C11×#3516C211yesmaximal, characteristic, complemented
32C11×#557C2211yescharacteristic
33C11×#556—21no—
34C11×#556C2211yescharacteristic
35C11×#554—21no—
36C11×#554C2211yescharacteristic
37C11×#553—21no—
38C11×#553C2211yescharacteristic
39C11×#552—21no—
40C11×#552C2211yescharacteristic
41D4×Q8×C11C2211yescharacteristic
42C11×#548C2211yescharacteristic
43C11×#548C2211yescharacteristic
44C11×#542—21no—
45C11×#542C2211yescharacteristic
46C11×#541—21no—
47C11×#541C2211yescharacteristic
48C11×#529—21no—
49C11×#529—21no—
50C11×#529C2211yescharacteristic
51C11×#529C2211yescharacteristic
52C11×#520C2211yescharacteristic
53C11×#519C2211yescharacteristic
54C2×C4×Q8×C11C2211yescharacteristic
55#10623243—21no—
56#10623243—21no—
57#10623228—21no—
58#10623206—21no—
59#10623196—21no—
60#10623196—21no—
61#10623163—21no—
62#10623129—21no—
63Q8×D44C2211yescharacteristic
64#10623098C2211yescharacteristic
65#10623096C2211yescharacteristic
66#10623096C2211yescharacteristic
67#10623086C2211yescharacteristic
68#10623074C2211yescharacteristic
69#10623074C2211yescharacteristic
70#10623073C2211yescharacteristic
71#10623065C2211yescharacteristic
72#10623065C2211yescharacteristic
73#10623050C2211yescharacteristic
74#10623050C2211yescharacteristic
75#10623010C2211yescharacteristic
76C2×#66922C2211yescharacteristic
77#10622852C2211yescharacteristic
78#10622851C2211yescharacteristic
79#10622846C2211yescharacteristic
80#10622845C2211yescharacteristic
81#10622841C2211yescharacteristic
82#10622841C2211yescharacteristic
83#10622840C2211yescharacteristic
84#10622840C2211yescharacteristic
85#10622838C2211yescharacteristic
86C2×#66899C2211yescharacteristic
87C2×#66899C2211yescharacteristic
88C2×#66899C2211yescharacteristic
89#10622704C2211yescharacteristic
90#10622703C2211yescharacteristic
91#10622700C2211yescharacteristic
92#10622696C2211yescharacteristic
93#10622695C2211yescharacteristic
94#10622694C2211yescharacteristic
95#10622693C2211yescharacteristic
96#10622691C2211yescharacteristic
97#10622679C2211yescharacteristic
98#10622679C2211yescharacteristic
99#10622678C2211yescharacteristic
100#10622678C2211yescharacteristic
101#10622678C2211yescharacteristic
102#10622677C2211yescharacteristic
103#10622676C2211yescharacteristic
104#10622676C2211yescharacteristic
105#10622670C2211yescharacteristic
106#10622670C2211yescharacteristic
107#10622669C2211yescharacteristic
108#10622668C2211yescharacteristic
109#10622668C2211yescharacteristic
110#10622668C2211yescharacteristic
111#10622667C2211yescharacteristic
112#10622667C2211yescharacteristic
113#10622665C2211yescharacteristic
114#10622664C2211yescharacteristic
115#10622664C2211yescharacteristic
116#10622664C2211yescharacteristic
117#10622662C2211yescharacteristic
118#10622662C2211yescharacteristic
119#10622661C2211yescharacteristic
120#10622661C2211yescharacteristic
121#10622658C2211yescharacteristic
122#10622658C2211yescharacteristic
123#10622658C2211yescharacteristic
124#10622657C2211yescharacteristic
125#10622657C2211yescharacteristic
126#10622657C2211yescharacteristic
127#10622657C2211yescharacteristic
128#10622656C2211yescharacteristic
129#10622655C2211yescharacteristic
130#10622654C2211yescharacteristic
131#10622651C2211yescharacteristic
132#10622651C2211yescharacteristic
133#10622648C2211yescharacteristic
134#10622647C2211yescharacteristic
135#10622647C2211yescharacteristic
136#10622646C2211yescharacteristic
137#10622643C2211yescharacteristic
138#10622643C2211yescharacteristic
139#10622643C2211yescharacteristic
140C4×#4326C2211yescharacteristic
141C4×#4326C2211yescharacteristic
142#10622641C2211yescharacteristic
143#10622641C2211yescharacteristic
144#10622641C2211yescharacteristic
145#10622639C2211yescharacteristic
146#10622639C2211yescharacteristic
147#10622639C2211yescharacteristic
148#10622639C2211yescharacteristic
149C4×#4325C2211yescharacteristic
150#10622637C2211yescharacteristic
151#10622637C2211yescharacteristic
152#10622635C2211yescharacteristic
153#10622635C2211yescharacteristic
154#10622635C2211yescharacteristic
155#10622635C2211yescharacteristic
156#10622635C2211yescharacteristic
157#10622635C2211yescharacteristic
158#10622634C2211yescharacteristic
159#10622634C2211yescharacteristic
160#10622634C2211yescharacteristic
161#10622634C2211yescharacteristic
162#10622634C2211yescharacteristic
163#10622634C2211yescharacteristic
164#10622634C2211yescharacteristic
165#10622634C2211yescharacteristic
166#10622634C2211yescharacteristic
167#10622634C2211yescharacteristic
168#10622633C2211yescharacteristic
169#10622633C2211yescharacteristic
170#10622633C2211yescharacteristic
171#10622631C2211yescharacteristic
172#10622629C2211yescharacteristic
173C4×#4323C2211yescharacteristic
174#10622624C2211yescharacteristic
175#10622624C2211yescharacteristic
176#10622624C2211yescharacteristic
177#10622624C2211yescharacteristic
178D4×C11⋊C8C2211yescharacteristic
179D4×C11⋊C8C2211yescharacteristic
180#10622622C2211yescharacteristic
181#10622622C2211yescharacteristic
182#10622620C2211yescharacteristic
183#10622620C2211yescharacteristic
184#10622620C2211yescharacteristic
185#10622616C2211yescharacteristic
186#10622613C2211yescharacteristic
187#10622613C2211yescharacteristic
188#10622612C2211yescharacteristic
189#10622612C2211yescharacteristic
190#10622611C2211yescharacteristic
191#10622609C2211yescharacteristic
192#10622608C2211yescharacteristic
193#10622583C2211yescharacteristic
194#10622583C2211yescharacteristic
195#10622581C2211yescharacteristic
196#10622580C2211yescharacteristic
197#10622577C2211yescharacteristic
198C2×#66871C2211yescharacteristic
199C2×#66871C2211yescharacteristic
200C2×#66871C2211yescharacteristic
201#10622539C2211yescharacteristic
202C2×C4⋊(C11⋊C8)C2211yescharacteristic
203C2×C11×#41C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205C22×Q8×C11C2311yescharacteristic
206C2×Q8×D11—21no—
207C2×#4341—21no—
208C22×Dic22—21no—
209C11×C4⋊Q8—21no—
210C11×C4⋊Q8—21no—
211C11×C4⋊Q8C2311yescharacteristic
212C11×C4⋊Q8C2311yescharacteristic
213C11×#126—21no—
214C11×#126—21no—
215C11×#126—21no—
216C11×#126—21no—
217C11×#126—21no—
218C11×#126—21no—
219C11×#126—21no—
220C11×#126—21no—
221C11×#126D411yescharacteristic
222C11×#126D411yescharacteristic
223C11×#125—21no—
224C11×#125—21no—
225C11×#125—21no—
226C11×#125—21no—
227C11×#125—21no—
228C11×#125—21no—
229C11×#125D411yescharacteristic
230C11×#125C2311yescharacteristic
231C11×#125C2311yescharacteristic
232C11×#124—21no—
233C11×#124—21no—
234C11×#124—21no—
235C11×#124D411yescharacteristic
236C11×#124C2311yescharacteristic
237C11×#124C2311yescharacteristic
238C11×#123—21no—
239C11×#123—21no—
240C11×#123—21no—
241C11×#123—21no—
242C11×#123D411yescharacteristic
243C11×#123D411yescharacteristic
244C11×C22⋊Q8—21no—
245C11×C22⋊Q8—21no—
246C11×C22⋊Q8—21no—
247C11×C22⋊Q8—21no—
248C11×C22⋊Q8—21no—
249C11×C22⋊Q8—21no—
250C11×C22⋊Q8—21no—
251C11×C22⋊Q8—21no—
252C11×C22⋊Q8D411yescharacteristic
253C11×C22⋊Q8C2311yescharacteristic
254C11×C22⋊Q8C2311yescharacteristic
255C11×C22⋊Q8C2311yescharacteristic
256C11×C22⋊Q8C2311yescharacteristic
257C11×#121—21no—
258C11×#121—21no—
259C11×#121—21no—
260C11×#121D411yescharacteristic
261C11×#121C2311yescharacteristic
262C11×#121C2311yescharacteristic
263C4×Q8×C11—21no—
264C4×Q8×C11—21no—
265C4×Q8×C11—21no—
266C4×Q8×C11—21no—
267C4×Q8×C11—21no—
268C4×Q8×C11C2311yescharacteristic
269C4×Q8×C11C2311yescharacteristic
270C4×Q8×C11C2311yescharacteristic
271C4×Q8×C11C2311yescharacteristic
272C4×Q8×C11C2311yescharacteristic
273C4×Q8×C11C2311yescharacteristic
274C4×Q8×C11C2311yescharacteristic
275C4×Q8×C11C2311yescharacteristic
276C4×Q8×C11C2311yescharacteristic
277C4×D4×C11—21no—
278C4×D4×C11—21no—
279C4×D4×C11—21no—
280C4×D4×C11—21no—
281C4×D4×C11—21no—
282C4×D4×C11—21no—
283C4×D4×C11—21no—
284C4×D4×C11—21no—
285C4×D4×C11C2311yescharacteristic
286C4×D4×C11C2311yescharacteristic
287C4×D4×C11C2311yescharacteristic
288C4×D4×C11C2311yescharacteristic
289C4×D4×C11C2311yescharacteristic
290C11×#117—21no—
291C11×#117—21no—
292C11×#117—21no—
293C11×#117—21no—
294C11×#117—21no—
295C11×#117—21no—
296C11×#117C2311yescharacteristic
297C11×#117C2311yescharacteristic
298C11×#117C2311yescharacteristic
299C2×C11×C4⋊C4—21no—
300C2×C11×C4⋊C4—21no—
301C2×C11×C4⋊C4C2311yescharacteristic
302C2×C11×C4⋊C4C2311yescharacteristic
303C2×C42×C11—21no—
304C2×C42×C11C2311yescharacteristic
305#66997—21no—
306C2×#4326C2311yescharacteristic
307C2×#4326C2311yescharacteristic
308C2×#4326C2311yescharacteristic
309C2×#4325C2311yescharacteristic
310C2×#4325C2311yescharacteristic
311C2×#4325C2311yescharacteristic
312#66992—21no—
313#66992—21no—
314#66989—21no—
315D4×Dic11—21no—
316D4×Dic11—21no—
317C2×#4324C2311yescharacteristic
318C2×#4323C2311yescharacteristic
319#66983C2311yescharacteristic
320#66983C2311yescharacteristic
321#66983C2311yescharacteristic
322#66982—21no—
323C4×C22⋊D11—21no—
324#66979C2311yescharacteristic
325#66979C2311yescharacteristic
326C2×C4⋊Dic11—21no—
327C2×C4⋊Dic11C2311yescharacteristic
328C2×C4⋊Dic11C2311yescharacteristic
329C2×C4⋊Dic11C2311yescharacteristic
330C2×C4⋊Dic11C2311yescharacteristic
331#66977C2311yescharacteristic
332#66977C2311yescharacteristic
333#66977C2311yescharacteristic
334C2×#4318C2311yescharacteristic
335C2×#4318C2311yescharacteristic
336C22×C11⋊C8C2311yescharacteristic
337C22×C11⋊C8C2311yescharacteristic
338C22×C11⋊C8C2311yescharacteristic
339C22×C11⋊C8C2311yescharacteristic
340#66951—21no—
341#66951—21no—
342#66951—21no—
343#66951—21no—
344#66950—21no—
345#66950—21no—
346#66950—21no—
347#66950—21no—
348#66949—21no—
349#66949—21no—
350#66943—21no—
351#66943—21no—
352#66943—21no—
353#66943—21no—
354#66942—21no—
355#66942—21no—
356#66941—21no—
357#66941—21no—
358#66940—21no—
359#66940—21no—
360#66939—21no—
361#66939—21no—
362#66938—21no—
363#66938—21no—
364#66936—21no—
365#66936—21no—
366#66936—21no—
367#66936—21no—
368(C22⋊D11)⋊C4—21no—
369(C22⋊D11)⋊C4—21no—
370#66932—21no—
371#66932—21no—
372#66931—21no—
373#66931—21no—
374#66931—21no—
375#66931—21no—
376#66931—21no—
377#66931—21no—
378#66931—21no—
379#66931—21no—
380#66929—21no—
381#66928C2311yescharacteristic
382C4×D44C2311yescharacteristic
383C4×D44C2311yescharacteristic
384C4×D44C2311yescharacteristic
385#66925—21no—
386#66923C2311yescharacteristic
387#66923C2311yescharacteristic
388#66923C2311yescharacteristic
389#66922—21no—
390#66922—21no—
391#66922C2311yescharacteristic
392#66922C2311yescharacteristic
393#66922C2311yescharacteristic
394#66922C2311yescharacteristic
395#66922C2311yescharacteristic
396#66922C2311yescharacteristic
397C4×Dic22C2311yescharacteristic
398C4×Dic22C2311yescharacteristic
399C4×Dic22C2311yescharacteristic
400#66899C2311yescharacteristic
401#66899C2311yescharacteristic
402#66899C2311yescharacteristic
403#66899C2311yescharacteristic
404#66899C2311yescharacteristic
405#66899C2311yescharacteristic
406#66899C2311yescharacteristic
407#66899C2311yescharacteristic
408#66899C2311yescharacteristic
409#66899C2311yescharacteristic
410#66899C2311yescharacteristic
411#66899C2311yescharacteristic
412#66899C2311yescharacteristic
413#66899C2311yescharacteristic
414#66899C2311yescharacteristic
415#66899C2311yescharacteristic
416#66899C2311yescharacteristic
417#66899C2311yescharacteristic
418#66896C2311yescharacteristic
419#66896C2311yescharacteristic
420#66896C2311yescharacteristic
421#66896C2311yescharacteristic
422#66896C2311yescharacteristic
423#66896C2311yescharacteristic
424C22⋊(C11⋊C8)C2311yescharacteristic
425C22⋊(C11⋊C8)C2311yescharacteristic
426C22⋊(C11⋊C8)C2311yescharacteristic
427C22⋊(C11⋊C8)C2311yescharacteristic
428C22⋊(C11⋊C8)C2311yescharacteristic
429C22⋊(C11⋊C8)C2311yescharacteristic
430#66874C2311yescharacteristic
431#66874C2311yescharacteristic
432#66874C2311yescharacteristic
433#66874C2311yescharacteristic
434#66873C2311yescharacteristic
435#66873C2311yescharacteristic
436#66873C2311yescharacteristic
437#66873C2311yescharacteristic
438#66872C2311yescharacteristic
439#66872C2311yescharacteristic
440#66872C2311yescharacteristic
441#66872C2311yescharacteristic
442#66872C2311yescharacteristic
443#66872C2311yescharacteristic
444#66872C2311yescharacteristic
445#66872C2311yescharacteristic
446#66871C2311yescharacteristic
447#66871C2311yescharacteristic
448#66871C2311yescharacteristic
449#66871C2311yescharacteristic
450#66871C2311yescharacteristic
451#66871C2311yescharacteristic
452#66871C2311yescharacteristic
453#66871C2311yescharacteristic
454#66871C2311yescharacteristic
455#66871C2311yescharacteristic
456#66871C2311yescharacteristic
457#66871C2311yescharacteristic
458#66871C2311yescharacteristic
459#66871C2311yescharacteristic
460#66871C2311yescharacteristic
461#66871C2311yescharacteristic
462C4⋊(C11⋊C8)C2311yescharacteristic
463C4⋊(C11⋊C8)C2311yescharacteristic
464C4⋊(C11⋊C8)C2311yescharacteristic
465C4⋊(C11⋊C8)C2311yescharacteristic
466C4⋊(C11⋊C8)C2311yescharacteristic
467C4⋊(C11⋊C8)C2311yescharacteristic
468C4⋊(C11⋊C8)C2311yescharacteristic
469C4⋊(C11⋊C8)C2311yescharacteristic
470C4⋊(C11⋊C8)C2311yescharacteristic
471C4⋊(C11⋊C8)C2311yescharacteristic
472#66867C2311yescharacteristic
473#66867C2311yescharacteristic
474#66867C2311yescharacteristic
475#66867C2311yescharacteristic
476C4×C11⋊C8C2311yescharacteristic
477C4×C11⋊C8C2311yescharacteristic
478#62158—111nomaximal, Sylow
479C11×#41—22no—
480C11×#41—41no—
481C2×Q8×C11—21no—
482C2×Q8×C11—21no—
483C2×Q8×C11—21no—
484C2×Q8×C11—22no—
485C2×Q8×C11—22no—
486C2×Q8×C11—41no—
487C2×Q8×C11—41no—
488C2×Q8×C11C2×D411yescharacteristic
489C2×Q8×C11C2411yescharacteristic
490C2×Q8×C11C2411yescharacteristic
491C2×Q8×C11C2411yescharacteristic
492C2×D4×C11—21no—
493C2×D4×C11—21no—
494C2×D4×C11—21no—
495C2×D4×C11C2×D411yescharacteristic
496C2×D4×C11C2×D411yescharacteristic
497C2×D4×C11C2×D411yescharacteristic
498C2×D4×C11C2411yescharacteristic
499C22×C4×C11—21no—
500C22×C4×C11—21no—
501C22×C4×C11—21no—
502C22×C4×C11—21no—
503C22×C4×C11—21no—
504C22×C4×C11—21no—
505C22×C4×C11—21no—
506C22×C4×C11C2×D411yescharacteristic
507C22×C4×C11C2×D411yescharacteristic
508C22×C4×C11C2411yescharacteristic
509C22×C4×C11C2411yescharacteristic
510C22×C4×C11C2411yescharacteristic
511C2×C22⋊D11—21no—
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
514C22×Dic11—21no—
515C22×Dic11—21no—
516C22×Dic11—21no—
517C22×Dic11—21no—
518Q8×D11—82no—
519#4341—82no—
520C2×D44C2411yescharacteristic
521C2×C4×D11—21no—
522C2×C4×D11—21no—
523C2×C4×D11—21no—
524C2×Dic22—21no—
525C2×Dic22—21no—
526C2×Dic22—21no—
527C2×Dic22—21no—
528C2×Dic22—21no—
529C2×Dic22—21no—
530C2×Dic22—82no—
531C2×Dic22C2411yescharacteristic
532C11×C4⋊C4—21no—
533C11×C4⋊C4—21no—
534C11×C4⋊C4—21no—
535C11×C4⋊C4—21no—
536C11×C4⋊C4—21no—
537C11×C4⋊C4—21no—
538C11×C4⋊C4—21no—
539C11×C4⋊C4—21no—
540C11×C4⋊C4—21no—
541C11×C4⋊C4—21no—
542C11×C4⋊C4—21no—
543C11×C4⋊C4—21no—
544C11×C4⋊C4—21no—
545C11×C4⋊C4—21no—
546C11×C4⋊C4—21no—
547C11×C4⋊C4—21no—
548C11×C4⋊C4—21no—
549C11×C4⋊C4—21no—
550C11×C4⋊C4—21no—
551C11×C4⋊C4—21no—
552C11×C4⋊C4—21no—
553C11×C4⋊C4C2×D411yescharacteristic
554C11×C4⋊C4C2×D411yescharacteristic
555C11×C4⋊C4C2×D411yescharacteristic
556C11×C4⋊C4C2×D411yescharacteristic
557C11×C4⋊C4C2×D411yescharacteristic
558C11×C4⋊C4C2×D411yescharacteristic
559C11×C4⋊C4C2×D411yescharacteristic
560C11×C4⋊C4C2×D411yescharacteristic
561C11×C4⋊C4C2×D411yescharacteristic
562C11×C4⋊C4C2×D411yescharacteristic
563C11×C4⋊C4C2411yescharacteristic
564C11×C4⋊C4C2411yescharacteristic
565C11×C4⋊C4C2411yescharacteristic
566C11×C4⋊C4C2411yescharacteristic
567C11×C22⋊C4—21no—
568C11×C22⋊C4—21no—
569C11×C22⋊C4—21no—
570C11×C22⋊C4—21no—
571C11×C22⋊C4—21no—
572C11×C22⋊C4—21no—
573C11×C22⋊C4—21no—
574C11×C22⋊C4—21no—
575C11×C22⋊C4—21no—
576C11×C22⋊C4—21no—
577C11×C22⋊C4—21no—
578C11×C22⋊C4—21no—
579C11×C22⋊C4—21no—
580C11×C22⋊C4C2×D411yescharacteristic
581C11×C22⋊C4C2×D411yescharacteristic
582C11×C22⋊C4C2×D411yescharacteristic
583C11×C22⋊C4C2×D411yescharacteristic
584C11×C22⋊C4C2×D411yescharacteristic
585C11×C22⋊C4C2×D411yescharacteristic
586C11×C22⋊C4C2×D411yescharacteristic
587C11×C22⋊C4C2×D411yescharacteristic
588C11×C22⋊C4C2×D411yescharacteristic
589C11×C22⋊C4C2×D411yescharacteristic
590C42×C11—21no—
591C42×C11—21no—
592C42×C11—21no—
593C42×C11—21no—
594C42×C11—21no—
595C42×C11—21no—
596C42×C11—21no—
597C42×C11—21no—
598C42×C11—21no—
599C42×C11C2×D411yescharacteristic
600C42×C11C2×D411yescharacteristic
601C42×C11C2411yescharacteristic
602C42×C11C2411yescharacteristic
603C42×C11C2411yescharacteristic
604C42×C11C2411yescharacteristic
605C22⋊Dic11—21no—
606C22⋊Dic11—21no—
607C22⋊Dic11—21no—
608C22⋊Dic11—21no—
609C22⋊Dic11—21no—
610#4326—22no—
611#4326—41no—
612#4326—41no—
613#4325—22no—
614#4325—41no—
615#4325—41no—
616#4324—41no—
617#4323—41no—
618(C2×D11)⋊C4—21no—
619(C2×D11)⋊C4—21no—
620(C2×D11)⋊C4—21no—
621(C2×D11)⋊C4—21no—
622(C2×D11)⋊C4—21no—
623(C2×D11)⋊C4—21no—
624(C2×D11)⋊C4—21no—
625(C2×D11)⋊C4—21no—
626C4⋊Dic11—21no—
627C4⋊Dic11—21no—
628C4⋊Dic11—21no—
629C4⋊Dic11—21no—
630C4⋊Dic11—21no—
631C4⋊Dic11—21no—
632C4⋊Dic11—21no—
633C4⋊Dic11—21no—
634C4⋊Dic11—21no—
635C4⋊Dic11—21no—
636C4⋊Dic11C2411yescharacteristic
637C4⋊Dic11C2411yescharacteristic
638C4⋊Dic11C2411yescharacteristic
639C4⋊Dic11C2411yescharacteristic
640C4⋊Dic11C2411yescharacteristic
641C4⋊Dic11C2411yescharacteristic
642Dic11⋊C4—21no—
643Dic11⋊C4—21no—
644Dic11⋊C4—21no—
645Dic11⋊C4—21no—
646Dic11⋊C4—21no—
647Dic11⋊C4—21no—
648Dic11⋊C4—21no—
649Dic11⋊C4—21no—
650Dic11⋊C4—21no—
651Dic11⋊C4—21no—
652Dic11⋊C4—21no—
653Dic11⋊C4—21no—
654C4×Dic11—21no—
655C4×Dic11—21no—
656C4×Dic11—21no—
657C4×Dic11—21no—
658C4×Dic11—21no—
659#4318—41no—
660#4318—41no—
661C2×C11⋊C8—41no—
662C2×C11⋊C8—41no—
663C2×C11⋊C8—41no—
664C2×C11⋊C8—41no—
665C2×C11⋊C8C2411yescharacteristic
666C2×C11⋊C8C2411yescharacteristic
667C2×C11⋊C8C2411yescharacteristic
668C2×C11⋊C8C2411yescharacteristic
669C2×C11⋊C8C2411yescharacteristic
670C2×C11⋊C8C2411yescharacteristic
671C2×C11⋊C8C2411yescharacteristic
672C2×C11⋊C8C2411yescharacteristic
673#3552—111no—
674#3516D1111yescharacteristic, complemented
675#3390—111no—
676#3386—111no—
677#3377—111no—
678#3367—111no—
679#3349—111no—
680#3346—111no—
681#3346—111no—
682#3343—111no—
683#3339—111no—
684#3338—111no—
685#3320—111no—
686#3316—111no—
687#3313—111no—
688#3308—111no—
689#3301—111no—
690#3299—111no—
691#3262—111no—
692#3258—111no—
693#3250—111no—
694#3243—111no—
695#3242—111no—
696#3239—111no—
697#3124—111no—
698#3121—111no—
699#3117—111no—
700#3083—111no—
701#3082—111no—
702C2×#477—111no—
703#2992—111no—
704C23×C11—21no—
705C23×C11C22×D411yescharacteristic
706C23×C11C22×D411yescharacteristic
707C23×C11C22×D411yescharacteristic
708C22×D11—21no—
709Q8×C11—21no—
710Q8×C11—21no—
711Q8×C11—21no—
712Q8×C11—21no—
713Q8×C11—21no—
714Q8×C11—41no—
715Q8×C11—42no—
716Q8×C11—42no—
717Q8×C11—81no—
718Q8×C112−1+412yes—
719D4×C11—22no—
720D4×C11—22no—
721D4×C11—21no—
722D4×C11—21no—
723D4×C11—41no—
724D4×C11—42no—
725D4×C11—42no—
726D4×C11—81no—
727C2×C4×C11—22no—
728C2×C4×C11—21no—
729C2×C4×C11—21no—
730C2×C4×C11—21no—
731C2×C4×C11—21no—
732C2×C4×C11—21no—
733C2×C4×C11—21no—
734C2×C4×C11—21no—
735C2×C4×C11—21no—
736C2×C4×C11—21no—
737C2×C4×C11—21no—
738C2×C4×C11—21no—
739C2×C4×C11—21no—
740C2×C4×C11—21no—
741C2×C4×C11—41no—
742C2×C4×C11—42no—
743C2×C4×C11—42no—
744C2×C4×C11—42no—
745C2×C4×C11—81no—
746C2×C4×C11—81no—
747C2×C4×C11—81no—
748C2×C4×C11—81no—
749C2×C4×C11C22×D411yescharacteristic
750C2×C4×C11C22×D411yescharacteristic
751C2×C4×C11C22×D411yescharacteristic
752C2×C4×C11C22×D411yescharacteristic
753C2×C4×C11C22×D411yescharacteristic
754C2×C4×C11C22×D411yescharacteristic
755C2×C4×C11C22×D411yescharacteristic
756C2×C4×C11C22×D411yescharacteristic
757C2×C4×C11C22×D411yescharacteristic
758C2×C4×C11C22×D411yescharacteristic
759C2×C4×C11C22×D411yescharacteristic
760C2×C4×C11C2511yescharacteristic
761C22⋊D11—42no—
762C22⋊D11—81no—
763C22⋊D11—81no—
764C2×Dic11—21no—
765C2×Dic11—21no—
766C2×Dic11—21no—
767C2×Dic11—21no—
768C2×Dic11—21no—
769C2×Dic11—21no—
770C2×Dic11—21no—
771C2×Dic11—81no—
772C2×Dic11—81no—
773C2×Dic11—81no—
774C2×Dic11—81no—
775D44—21no—
776D44—21no—
777C4×D11—42no—
778C4×D11—81no—
779C4×D11—81no—
780Dic22—21no—
781Dic22—21no—
782Dic22—42no—
783Dic22—42no—
784Dic22—81no—
785Dic22—81no—
786Dic22—81no—
787Dic22—81no—
788C11⋊C8—21no—
789C11⋊C8—21no—
790C11⋊C8—21no—
791C11⋊C8—21no—
792C11⋊C8—21no—
793C11⋊C8—21no—
794C11⋊C8—21no—
795C11⋊C8—21no—
796#563—221no—
797#563—221no—
798#557—111no—
799#557C2×D1111yescharacteristic
800#556—21no—
801#556—111no—
802#556C2×D1111yescharacteristic
803#554—21no—
804#554—111no—
805#554—111no—
806#554C2×D1111yescharacteristic
807#553—21no—
808#553—111no—
809#553—111no—
810#553C2×D1111yescharacteristic
811#552—21no—
812#552C2×D1111yescharacteristic
813D4×Q8—111no—
814D4×Q8—221no—
815D4×Q8C2×D1111yescharacteristic
816#548—221no—
817#548C2×D1111yescharacteristic
818#548C2×D1111yescharacteristic
819#547—111no—
820#544—111no—
821#544—111no—
822#542—21no—
823#542—111no—
824#542—111no—
825#542C2×D1111yescharacteristic
826#541—21no—
827#541—221no—
828#541C2×D1111yescharacteristic
829#539—221no—
830#539—221no—
831#536—221no—
832C2×C4⋊Q8—111no—
833#529—21no—
834#529—21no—
835#529—111no—
836#529C2×D1111yescharacteristic
837#529C2×D1111yescharacteristic
838#520C2×D1111yescharacteristic
839#519C2×D1111yescharacteristic
840C2×C4×Q8C2×D1111yescharacteristic
841#501—111no—
842#501—111no—
843#501—111no—
844#501—111no—
845#500—111no—
846#499—111no—
847#491—111no—
848#489—111no—
849#489—111no—
850#489—111no—
851#488—111no—
852#487—111no—
853#485—111no—
854#485—111no—
855#485—111no—
856#485—111no—
857#484—111no—
858#484—111no—
859#484—111no—
860#484—111no—
861#484—111no—
862#484—111no—
863#483—111no—
864#482—111no—
865#482—111no—
866#481—111no—
867#481—111no—
868#481—111no—
869#480—111no—
870#480—111no—
871#479—111no—
872#479—111no—
873#479—111no—
874#479—111no—
875#479—111no—
876#479—111no—
877#479—111no—
878#479—111no—
879#478—111no—
880#478—111no—
881#478—111no—
882#478—111no—
883#477—111no—
884#477—111no—
885#477—111no—
886#477—111no—
887#477—111no—
888#477—111no—
889#477—111no—
890#477—111no—
891#477—111no—
892#477—111no—
893#477—111no—
894#475—111no—
895#475—111no—
896#475—111no—
897#474—111no—
898#474—111no—
899#474—111no—
900#474—111no—
901#470—111no—
902#468—111no—
903#468—111no—
904#468—111no—
905#467—111no—
906#467—111no—
907#467—111no—
908#466—111no—
909#466—111no—
910#465—111no—
911#465—111no—
912#465—111no—
913#464—111no—
914#464—111no—
915#464—111no—
916#464—111no—
917#464—111no—
918#463—111no—
919#463—111no—
920#463—111no—
921#462—111no—
922#461—111no—
923#452—111no—
924#451—111no—
925#451—111no—
926#449—111no—
927#448—111no—
928#448—111no—
929#446—111no—
930#446—111no—
931#441—111no—
932#441—111no—
933#441—111no—
934#440—111no—
935#440—111no—
936#440—111no—
937#440—111no—
938#440—111no—
939C4×Q16—111no—
940C4×Q16—111no—
941C4×SD16—111no—
942C4×D8—111no—
943#435—111no—
944#435—111no—
945#435—111no—
946#435—111no—
947C8×D4—111no—
948C8×D4—111no—
949#433—111no—
950#433—111no—
951#432—111no—
952#428—111no—
953#428—111no—
954#427—111no—
955C2×#107—111no—
956C2×#107—111no—
957C2×#107—111no—
958#424—111no—
959#424—111no—
960C2×C4⋊C8—111no—
961#419—111no—
962#417—111no—
963#416—111no—
964C2×#103—111no—
965C2×#103—111no—
966C2×#103—111no—
967C22×C11—21no—
968C22×C11—21no—
969C22×C11—21no—
970C22×C11—21no—
971C22×C11—21no—
972C22×C11—21no—
973C22×C11—21no—
974C22×C11—21no—
975C22×C11—41no—
976C22×C11—41no—
977C22×C11—41no—
978C22×C11#57812yes—
979C22×C11C23×D411yescharacteristic
980C2×D11—41no—
981C2×D11—41no—
982C2×D11—41no—
983C4×C11—21no—
984C4×C11—21no—
985C4×C11—21no—
986C4×C11—21no—
987C4×C11—21no—
988C4×C11—21no—
989C4×C11—21no—
990C4×C11—22no—
991C4×C11—21no—
992C4×C11—21no—
993C4×C11—21no—
994C4×C11—21no—
995C4×C11—41no—
996C4×C11—41no—
997C4×C11—41no—
998C4×C11—41no—
999C4×C11—41no—
1000C4×C11—41no—
1001C4×C11C2×2−1+411yescharacteristic
1002C4×C11#58511yescharacteristic
1003Dic11—41no—
1004Dic11—41no—
1005Dic11—41no—
1006Dic11—41no—
1007Dic11—41no—
1008Dic11—41no—
1009Dic11—41no—
1010C2×#41—221no—
1011C2×#41C22×D1111yescharacteristic
1012C22×Q8—221no—
1013C22×Q8—221no—
1014C22×Q8C22×D1111yescharacteristic
1015C22×Q8C22×D1111yescharacteristic
1016C2×Q16—111no—
1017C2×Q16—111no—
1018C2×Q16—111no—
1019C2×SD16—111no—
1020C2×SD16—111no—
1021C2×SD16—111no—
1022C2×SD16—111no—
1023C2×D8—111no—
1024C2×M16—111no—
1025C2×M16—111no—
1026C22×C8—111no—
1027C22×C8—111no—
1028C22×C8—111no—
1029C22×C8—111no—
1030C4⋊Q8—21no—
1031C4⋊Q8—21no—
1032C4⋊Q8—111no—
1033C4⋊Q8—111no—
1034C4⋊Q8—111no—
1035C4⋊Q8—111no—
1036C4⋊Q8—111no—
1037C4⋊Q8—111no—
1038C4⋊Q8—221no—
1039C4⋊Q8—221no—
1040C4⋊Q8—221no—
1041C4⋊Q8—221no—
1042C4⋊Q8—221no—
1043C4⋊Q8C22×D1111yescharacteristic
1044C4⋊Q8C22×D1111yescharacteristic
1045#126—21no—
1046#126—21no—
1047#126—21no—
1048#126—21no—
1049#126—21no—
1050#126—21no—
1051#126—21no—
1052#126—21no—
1053#126—221no—
1054#126—221no—
1055#126—221no—
1056#126—221no—
1057#126—221no—
1058#126—221no—
1059#126—221no—
1060#126C22⋊D1111yescharacteristic
1061#126C22⋊D1111yescharacteristic
1062#125—21no—
1063#125—21no—
1064#125—21no—
1065#125—21no—
1066#125—21no—
1067#125—21no—
1068#125—111no—
1069#125—111no—
1070#125—111no—
1071#125—221no—
1072#125—221no—
1073#125—221no—
1074#125—221no—
1075#125—221no—
1076#125—221no—
1077#125C22⋊D1111yescharacteristic
1078#125C22×D1111yescharacteristic
1079#125C22×D1111yescharacteristic
1080#124—21no—
1081#124—21no—
1082#124—21no—
1083#124—111no—
1084#124—221no—
1085#124—221no—
1086#124—221no—
1087#124C22⋊D1111yescharacteristic
1088#124C22×D1111yescharacteristic
1089#124C22×D1111yescharacteristic
1090#123—21no—
1091#123—21no—
1092#123—21no—
1093#123—21no—
1094#123—221no—
1095#123—221no—
1096#123—221no—
1097#123—221no—
1098#123—221no—
1099#123—221no—
1100#123—221no—
1101#123C22⋊D1111yescharacteristic
1102#123C22⋊D1111yescharacteristic
1103C22⋊Q8—21no—
1104C22⋊Q8—21no—
1105C22⋊Q8—21no—
1106C22⋊Q8—21no—
1107C22⋊Q8—21no—
1108C22⋊Q8—21no—
1109C22⋊Q8—21no—
1110C22⋊Q8—21no—
1111C22⋊Q8—111no—
1112C22⋊Q8—111no—
1113C22⋊Q8—111no—
1114C22⋊Q8—221no—
1115C22⋊Q8—221no—
1116C22⋊Q8—221no—
1117C22⋊Q8—221no—
1118C22⋊Q8—221no—
1119C22⋊Q8—221no—
1120C22⋊Q8—221no—
1121C22⋊Q8—221no—
1122C22⋊Q8—221no—
1123C22⋊Q8—221no—
1124C22⋊Q8—221no—
1125C22⋊Q8—221no—
1126C22⋊Q8—221no—
1127C22⋊Q8—221no—
1128C22⋊Q8C22⋊D1111yescharacteristic
1129C22⋊Q8C22×D1111yescharacteristic
1130C22⋊Q8C22×D1111yescharacteristic
1131C22⋊Q8C22×D1111yescharacteristic
1132C22⋊Q8C22×D1111yescharacteristic
1133#121—21no—
1134#121—21no—
1135#121—21no—
1136#121—111no—
1137#121—111no—
1138#121—111no—
1139#121—221no—
1140#121—221no—
1141#121C22⋊D1111yescharacteristic
1142#121C22×D1111yescharacteristic
1143#121C22×D1111yescharacteristic
1144C4×Q8—21no—
1145C4×Q8—21no—
1146C4×Q8—21no—
1147C4×Q8—21no—
1148C4×Q8—21no—
1149C4×Q8—111no—
1150C4×Q8—111no—
1151C4×Q8—111no—
1152C4×Q8—221no—
1153C4×Q8—221no—
1154C4×Q8C22×D1111yescharacteristic
1155C4×Q8C22×D1111yescharacteristic
1156C4×Q8C22×D1111yescharacteristic
1157C4×Q8C22×D1111yescharacteristic
1158C4×Q8C22×D1111yescharacteristic
1159C4×Q8C22×D1111yescharacteristic
1160C4×Q8C22×D1111yescharacteristic
1161C4×Q8C22×D1111yescharacteristic
1162C4×Q8C22×D1111yescharacteristic
1163C4×D4—21no—
1164C4×D4—21no—
1165C4×D4—21no—
1166C4×D4—21no—
1167C4×D4—21no—
1168C4×D4—21no—
1169C4×D4—21no—
1170C4×D4—21no—
1171C4×D4—111no—
1172C4×D4—111no—
1173C4×D4—111no—
1174C4×D4—221no—
1175C4×D4—221no—
1176C4×D4—221no—
1177C4×D4—221no—
1178C4×D4—221no—
1179C4×D4C22×D1111yescharacteristic
1180C4×D4C22×D1111yescharacteristic
1181C4×D4C22×D1111yescharacteristic
1182C4×D4C22×D1111yescharacteristic
1183C4×D4C22×D1111yescharacteristic
1184#117—21no—
1185#117—21no—
1186#117—21no—
1187#117—21no—
1188#117—21no—
1189#117—21no—
1190#117—111no—
1191#117—111no—
1192#117—221no—
1193#117C22×D1111yescharacteristic
1194#117C22×D1111yescharacteristic
1195#117C22×D1111yescharacteristic
1196C2×C4⋊C4—21no—
1197C2×C4⋊C4—21no—
1198C2×C4⋊C4—111no—
1199C2×C4⋊C4—111no—
1200C2×C4⋊C4—111no—
1201C2×C4⋊C4—111no—
1202C2×C4⋊C4—221no—
1203C2×C4⋊C4C22×D1111yescharacteristic
1204C2×C4⋊C4C22×D1111yescharacteristic
1205C2×C42—21no—
1206C2×C42C22×D1111yescharacteristic
1207#107—111no—
1208#107—111no—
1209#107—111no—
1210#107—111no—
1211#107—111no—
1212#107—111no—
1213#107—111no—
1214#107—111no—
1215#107—111no—
1216#107—111no—
1217#107—111no—
1218#107—111no—
1219#107—111no—
1220#107—111no—
1221#107—111no—
1222#107—111no—
1223#106—111no—
1224#106—111no—
1225#106—111no—
1226#106—111no—
1227#106—111no—
1228#106—111no—
1229#106—111no—
1230#106—111no—
1231C4⋊C8—111no—
1232C4⋊C8—111no—
1233C4⋊C8—111no—
1234C4⋊C8—111no—
1235C4⋊C8—111no—
1236C4⋊C8—111no—
1237C4⋊C8—111no—
1238C4⋊C8—111no—
1239C4⋊C8—111no—
1240C4⋊C8—111no—
1241#103—111no—
1242#103—111no—
1243#103—111no—
1244#103—111no—
1245#103—111no—
1246#103—111no—
1247#103—111no—
1248#103—111no—
1249#103—111no—
1250#103—111no—
1251#103—111no—
1252#103—111no—
1253#103—111no—
1254#103—111no—
1255#103—111no—
1256#103—111no—
1257#103—111no—
1258#103—111no—
1259#103—111no—
1260#103—111no—
1261#103—111no—
1262#103—111no—
1263#102—111no—
1264#102—111no—
1265#102—111no—
1266#102—111no—
1267#102—111no—
1268#102—111no—
1269#102—111no—
1270#102—111no—
1271#102—111no—
1272#102—111no—
1273C22⋊C8—111no—
1274C22⋊C8—111no—
1275C22⋊C8—111no—
1276C22⋊C8—111no—
1277C22⋊C8—111no—
1278C22⋊C8—111no—
1279#97—111no—
1280#97—111no—
1281#97—111no—
1282#97—111no—
1283C4×C8—111no—
1284C4×C8—111no—
1285C2×C11—22no—
1286C2×C11—41no—
1287C2×C11—41no—
1288C2×C11—81no—
1289C2×C11#348911yescharacteristic
1290C2×C11C2×#57811yescharacteristic
1291C2×C11#358511yescharacteristic
1292D11—81no—
1293#41—22no—
1294#41—41no—
1295#41—882no—
1296C2×Q8—21no—
1297C2×Q8—21no—
1298C2×Q8—21no—
1299C2×Q8—22no—
1300C2×Q8—22no—
1301C2×Q8—41no—
1302C2×Q8—41no—
1303C2×Q8—111no—
1304C2×Q8—221no—
1305C2×Q8—221no—
1306C2×Q8—221no—
1307C2×Q8—221no—
1308C2×Q8—221no—
1309C2×Q8—221no—
1310C2×Q8—882no—
1311C2×Q8—882no—
1312C2×Q8C2×C22⋊D1111yescharacteristic
1313C2×Q8C23×D1111yescharacteristic
1314C2×Q8C23×D1111yescharacteristic
1315C2×Q8C23×D1111yescharacteristic
1316C2×D4—21no—
1317C2×D4—21no—
1318C2×D4—21no—
1319C2×D4—111no—
1320C2×D4—221no—
1321C2×D4—221no—
1322C2×D4—221no—
1323C2×D4C2×C22⋊D1111yescharacteristic
1324C2×D4C2×C22⋊D1111yescharacteristic
1325C2×D4C2×C22⋊D1111yescharacteristic
1326C2×D4C23×D1111yescharacteristic
1327C22×C4—21no—
1328C22×C4—21no—
1329C22×C4—21no—
1330C22×C4—21no—
1331C22×C4—21no—
1332C22×C4—21no—
1333C22×C4—21no—
1334C22×C4—221no—
1335C22×C4—221no—
1336C22×C4—221no—
1337C22×C4—221no—
1338C22×C4—221no—
1339C22×C4—221no—
1340C22×C4—221no—
1341C22×C4C2×C22⋊D1111yescharacteristic
1342C22×C4C2×C22⋊D1111yescharacteristic
1343C22×C4C23×D1111yescharacteristic
1344C22×C4C23×D1111yescharacteristic
1345C22×C4C23×D1111yescharacteristic
1346Q16—222no—
1347Q16—441no—
1348Q16—441no—
1349SD16—222no—
1350SD16—441no—
1351SD16—441no—
1352SD16—441no—
1353D8—441no—
1354M16—441no—
1355M16—441no—
1356C2×C8—111no—
1357C2×C8—111no—
1358C2×C8—111no—
1359C2×C8—111no—
1360C2×C8—111no—
1361C2×C8—111no—
1362C2×C8—111no—
1363C2×C8—111no—
1364C2×C8—441no—
1365C2×C8—441no—
1366C2×C8—441no—
1367C2×C8—441no—
1368C4⋊C4—21no—
1369C4⋊C4—21no—
1370C4⋊C4—21no—
1371C4⋊C4—21no—
1372C4⋊C4—21no—
1373C4⋊C4—21no—
1374C4⋊C4—21no—
1375C4⋊C4—21no—
1376C4⋊C4—21no—
1377C4⋊C4—21no—
1378C4⋊C4—21no—
1379C4⋊C4—21no—
1380C4⋊C4—21no—
1381C4⋊C4—21no—
1382C4⋊C4—21no—
1383C4⋊C4—21no—
1384C4⋊C4—21no—
1385C4⋊C4—21no—
1386C4⋊C4—21no—
1387C4⋊C4—21no—
1388C4⋊C4—21no—
1389C4⋊C4—111no—
1390C4⋊C4—111no—
1391C4⋊C4—111no—
1392C4⋊C4—111no—
1393C4⋊C4—111no—
1394C4⋊C4—111no—
1395C4⋊C4—221no—
1396C4⋊C4—221no—
1397C4⋊C4—221no—
1398C4⋊C4—221no—
1399C4⋊C4—221no—
1400C4⋊C4—221no—
1401C4⋊C4—221no—
1402C4⋊C4—221no—
1403C4⋊C4—221no—
1404C4⋊C4—221no—
1405C4⋊C4—221no—
1406C4⋊C4—221no—
1407C4⋊C4—221no—
1408C4⋊C4—221no—
1409C4⋊C4—221no—
1410C4⋊C4—221no—
1411C4⋊C4—221no—
1412C4⋊C4—221no—
1413C4⋊C4—221no—
1414C4⋊C4—221no—
1415C4⋊C4—221no—
1416C4⋊C4—221no—
1417C4⋊C4C2×C22⋊D1111yescharacteristic
1418C4⋊C4C2×C22⋊D1111yescharacteristic
1419C4⋊C4C2×C22⋊D1111yescharacteristic
1420C4⋊C4C2×C22⋊D1111yescharacteristic
1421C4⋊C4C2×C22⋊D1111yescharacteristic
1422C4⋊C4C2×C22⋊D1111yescharacteristic
1423C4⋊C4C2×C22⋊D1111yescharacteristic
1424C4⋊C4C2×C22⋊D1111yescharacteristic
1425C4⋊C4C2×C22⋊D1111yescharacteristic
1426C4⋊C4C2×C22⋊D1111yescharacteristic
1427C4⋊C4C23×D1111yescharacteristic
1428C4⋊C4C23×D1111yescharacteristic
1429C4⋊C4C23×D1111yescharacteristic
1430C4⋊C4C23×D1111yescharacteristic
1431C22⋊C4—21no—
1432C22⋊C4—21no—
1433C22⋊C4—21no—
1434C22⋊C4—21no—
1435C22⋊C4—21no—
1436C22⋊C4—21no—
1437C22⋊C4—21no—
1438C22⋊C4—21no—
1439C22⋊C4—21no—
1440C22⋊C4—21no—
1441C22⋊C4—21no—
1442C22⋊C4—21no—
1443C22⋊C4—21no—
1444C22⋊C4—221no—
1445C22⋊C4—221no—
1446C22⋊C4—221no—
1447C22⋊C4—221no—
1448C22⋊C4—221no—
1449C22⋊C4—221no—
1450C22⋊C4—221no—
1451C22⋊C4—221no—
1452C22⋊C4—221no—
1453C22⋊C4—221no—
1454C22⋊C4—221no—
1455C22⋊C4—221no—
1456C22⋊C4—221no—
1457C22⋊C4C2×C22⋊D1111yescharacteristic
1458C22⋊C4C2×C22⋊D1111yescharacteristic
1459C22⋊C4C2×C22⋊D1111yescharacteristic
1460C22⋊C4C2×C22⋊D1111yescharacteristic
1461C22⋊C4C2×C22⋊D1111yescharacteristic
1462C22⋊C4C2×C22⋊D1111yescharacteristic
1463C22⋊C4C2×C22⋊D1111yescharacteristic
1464C22⋊C4C2×C22⋊D1111yescharacteristic
1465C22⋊C4C2×C22⋊D1111yescharacteristic
1466C22⋊C4C2×C22⋊D1111yescharacteristic
1467C42—21no—
1468C42—21no—
1469C42—21no—
1470C42—21no—
1471C42—21no—
1472C42—21no—
1473C42—21no—
1474C42—21no—
1475C42—21no—
1476C42—221no—
1477C42—221no—
1478C42—221no—
1479C42—221no—
1480C42—221no—
1481C42C2×C22⋊D1111yescharacteristic
1482C42C2×C22⋊D1111yescharacteristic
1483C42C23×D1111yescharacteristic
1484C42C23×D1111yescharacteristic
1485C42C23×D1111yescharacteristic
1486C42C23×D1111yescharacteristic
1487C11#6215811yescharacteristic, complemented, Sylow
1488C23—21no—
1489C23—221no—
1490C23C22×C22⋊D1111yescharacteristic
1491C23C22×C22⋊D1111yescharacteristic
1492C23C22×C22⋊D1111yescharacteristic
1493Q8—21no—
1494Q8—21no—
1495Q8—21no—
1496Q8—21no—
1497Q8—21no—
1498Q8—41no—
1499Q8—42no—
1500Q8—42no—
1501Q8—81no—
1502Q8—221no—
1503Q8—221no—
1504Q8—442no—
1505Q8—442no—
1506Q8—881no—
1507Q8—881no—
1508Q8—881no—
1509Q8—881no—
1510Q8#6704312yes—
1511D4—22no—
1512D4—22no—
1513D4—21no—
1514D4—21no—
1515D4—41no—
1516D4—42no—
1517D4—42no—
1518D4—81no—
1519D4—221no—
1520D4—221no—
1521D4—442no—
1522D4—881no—
1523D4—881no—
1524C2×C4—22no—
1525C2×C4—21no—
1526C2×C4—21no—
1527C2×C4—21no—
1528C2×C4—21no—
1529C2×C4—21no—
1530C2×C4—21no—
1531C2×C4—21no—
1532C2×C4—21no—
1533C2×C4—21no—
1534C2×C4—21no—
1535C2×C4—21no—
1536C2×C4—21no—
1537C2×C4—21no—
1538C2×C4—41no—
1539C2×C4—42no—
1540C2×C4—42no—
1541C2×C4—42no—
1542C2×C4—81no—
1543C2×C4—81no—
1544C2×C4—81no—
1545C2×C4—81no—
1546C2×C4—221no—
1547C2×C4—221no—
1548C2×C4—221no—
1549C2×C4—221no—
1550C2×C4—221no—
1551C2×C4—221no—
1552C2×C4—221no—
1553C2×C4—442no—
1554C2×C4—881no—
1555C2×C4—881no—
1556C2×C4—881no—
1557C2×C4—881no—
1558C2×C4—881no—
1559C2×C4—881no—
1560C2×C4C22×C22⋊D1111yescharacteristic
1561C2×C4C22×C22⋊D1111yescharacteristic
1562C2×C4C22×C22⋊D1111yescharacteristic
1563C2×C4C22×C22⋊D1111yescharacteristic
1564C2×C4C22×C22⋊D1111yescharacteristic
1565C2×C4C22×C22⋊D1111yescharacteristic
1566C2×C4C22×C22⋊D1111yescharacteristic
1567C2×C4C22×C22⋊D1111yescharacteristic
1568C2×C4C22×C22⋊D1111yescharacteristic
1569C2×C4C22×C22⋊D1111yescharacteristic
1570C2×C4C22×C22⋊D1111yescharacteristic
1571C2×C4C24×D1111yescharacteristic
1572C8—221no—
1573C8—221no—
1574C8—221no—
1575C8—221no—
1576C8—221no—
1577C8—221no—
1578C8—221no—
1579C8—221no—
1580C22—21no—
1581C22—21no—
1582C22—21no—
1583C22—21no—
1584C22—21no—
1585C22—21no—
1586C22—21no—
1587C22—21no—
1588C22—41no—
1589C22—41no—
1590C22—41no—
1591C22—441no—
1592C22—441no—
1593C22—441no—
1594C22#1062336912yes—
1595C22C23×C22⋊D1111yescharacteristic
1596C4—21no—
1597C4—21no—
1598C4—21no—
1599C4—21no—
1600C4—21no—
1601C4—21no—
1602C4—21no—
1603C4—22no—
1604C4—21no—
1605C4—21no—
1606C4—21no—
1607C4—21no—
1608C4—41no—
1609C4—41no—
1610C4—41no—
1611C4—41no—
1612C4—41no—
1613C4—41no—
1614C4—441no—
1615C4—441no—
1616C4—441no—
1617C4—441no—
1618C4—441no—
1619C4—441no—
1620C4—441no—
1621C4C2×#6704311yescharacteristic
1622C4#1062345311yescharacteristic
1623C2—22no—
1624C2—41no—
1625C2—41no—
1626C2—81no—
1627C2—881no—
1628C2#1308229611yescharacteristic
1629C2C2×#1062336911yescharacteristic
1630C2#1308339511yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3516C2
socleC22×C11C23×D4
hypercenter#3516D11
hypocenterC11#62158
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #529 ◁ #3516

Complements

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

NH ≅ G/Ntype
1. #13083053C2semidirect
2. #13081579C2semidirect
3. #13081533C2semidirect
4. #13081452C2semidirect
5. #13081330C2semidirect
6. #13081146C2semidirect
7. #13081101C2semidirect
8. #13081095C2semidirect
9. #13081056C2semidirect
10. #13081012C2semidirect
11. #13081004C2semidirect
12. #13080787C2semidirect
13. #13080727C2semidirect
14. #13080682C2semidirect
15. #13080607C2semidirect
16. #13080518C2semidirect
17. #13080492C2semidirect
18. #13080072C2semidirect
19. #13080036C2semidirect
20. #13079963C2semidirect
21. #13079893C2semidirect
22. #13079878C2semidirect
23. #13079843C2semidirect
24. #13078878C2semidirect
25. #13078845C2semidirect
26. #13078787C2semidirect
27. #13078467C2semidirect
28. #13078458C2semidirect
29. C2×#10622634C2semidirect
30. #13077755C2semidirect
31. C11×#3516C2semidirect
674. #3516D11semidirect
1487. C11#62158semidirect

Maximal subgroups

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

subgroupindex
#130830532
#130815792
#130815332
#130814522
#130813302
#130811462
#130811012
#130810952
#130810562
#130810122
#130810042
#130807872
#130807272
#130806822
#130806072
#130805182
#130804922
#130800722
#130800362
#130799632
#130798932
#130798782
#130798432
#130788782
#130788452
#130787872
#130784672
#130784582
C2×#106226342
#130777552
C11×#35162
#6215811