Finite Group Databasebeta

← #15646036

Subgroups — #15646036

Order 2816.

1878 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082574C211yesmaximal, characteristic, complemented
2#13082230C211yesmaximal, characteristic, complemented
3#13081613C211yesmaximal, characteristic, complemented
4#13081599C211yesmaximal, characteristic, complemented
5#13081315C211yesmaximal, characteristic, complemented
6#13081298C211yesmaximal, characteristic, complemented
7#13080504C211yesmaximal, characteristic, complemented
8#13080497C211yesmaximal, characteristic, complemented
9#13080479C211yesmaximal, characteristic, complemented
10#13080454C211yesmaximal, characteristic, complemented
11#13080425C211yesmaximal, characteristic, complemented
12#13080365C211yesmaximal, characteristic, complemented
13#13080359C211yesmaximal, characteristic, complemented
14#13080355C211yesmaximal, characteristic, complemented
15#13080330C211yesmaximal, characteristic, complemented
16#13080319C211yesmaximal, characteristic, complemented
17#13080310C211yesmaximal, characteristic, complemented
18#13079969C211yesmaximal, characteristic, complemented
19#13079967C211yesmaximal, characteristic, complemented
20#13079946C211yesmaximal, characteristic, complemented
21#13079584C211yesmaximal, characteristic, complemented
22#13079582C211yesmaximal, characteristic, complemented
23#13079570C211yesmaximal, characteristic, complemented
24#13078699C211yesmaximal, characteristic, complemented
25#13078694C211yesmaximal, characteristic, complemented
26#13078629C211yesmaximal, characteristic, complemented
27#13078069C211yesmaximal, characteristic, complemented
28C2×#10622380C211yesmaximal, characteristic, complemented
29D11×#464C211yesmaximal, characteristic, complemented
30#13077723C211yesmaximal, characteristic, complemented
31C11×#3296C211yesmaximal, characteristic, complemented
32C11×#552C2211yescharacteristic, complemented
33C11×#546C2211yescharacteristic
34#10623363C2211yescharacteristic
35#10623362C2211yescharacteristic
36C2×#67003C2211yescharacteristic, complemented
37D4×C22⋊D11C2211yescharacteristic
38C2×#66989C2211yescharacteristic
39C22×#4324C2211yescharacteristic
40C2×Q16×D11C2211yescharacteristic, complemented
41C2×SD16×D11C2211yescharacteristic
42C22×Dic44C2211yescharacteristic, complemented
43C2×#66957C2211yescharacteristic, complemented
44#10623237—21no—
45#10623233—21no—
46#10623224—21no—
47#10623222C2211yescharacteristic, complemented
48#10623219—21no—
49#10623216C2211yescharacteristic, complemented
50D11×#124C2211yescharacteristic
51#10623202C2211yescharacteristic
52#10623193—21no—
53#10623190—21no—
54#10623186—21no—
55#10623180—21no—
56#10623164C2211yescharacteristic, complemented
57#10623163C2211yescharacteristic
58#10623163C2211yescharacteristic
59#10623155C2211yescharacteristic
60#10623155C2211yescharacteristic, complemented
61#10623153C2211yescharacteristic, complemented
62#10623147—21no—
63#10623144—21no—
64#10623143C2211yescharacteristic
65#10623131C2211yescharacteristic
66#10623124—21no—
67#10623122—21no—
68C4×Q8×D11C2211yescharacteristic, complemented
69#10623099C2211yescharacteristic, complemented
70#10623090C2211yescharacteristic
71#10623088C2211yescharacteristic
72#10623083C2211yescharacteristic
73#10623083C2211yescharacteristic, complemented
74C4×#4341C2211yescharacteristic
75#10623062—21no—
76#10623060C2211yescharacteristic, complemented
77#10623053—21no—
78#10623053C2211yescharacteristic, complemented
79#10623038C2211yescharacteristic
80C2×#66940C2211yescharacteristic, complemented
81#10623026—21no—
82#10623017—21no—
83C11×#488C2211yescharacteristic
84C11×#483C2211yescharacteristic, complemented
85C11×#482C2211yescharacteristic
86C11×#478C2211yescharacteristic, complemented
87C11×#467C2211yescharacteristic, complemented
88C11×#465C2211yescharacteristic
89C11×#464C2211yescharacteristic
90C11×#452C2211yescharacteristic, complemented
91C11×#450C2211yescharacteristic
92C4×C11×SD16C2211yescharacteristic, complemented
93C8×D4×C11C2211yescharacteristic, complemented
94C11×#416C2211yescharacteristic, complemented
95C2×C11×#102C2211yescharacteristic
96#10622852C2211yescharacteristic, complemented
97#10622830C2211yescharacteristic
98#10622798C2211yescharacteristic, complemented
99#10622798C2211yescharacteristic, complemented
100#10622794C2211yescharacteristic, complemented
101#10622788C2211yescharacteristic
102#10622783C2211yescharacteristic
103#10622781C2211yescharacteristic
104#10622781C2211yescharacteristic, complemented
105#10622779C2211yescharacteristic
106#10622779C2211yescharacteristic, complemented
107#10622775C2211yescharacteristic
108#10622729C2211yescharacteristic, complemented
109#10622728C2211yescharacteristic
110C8×C22⋊D11C2211yescharacteristic
111C8×C22⋊D11C2211yescharacteristic, complemented
112C2×Dic11⋊C8C2211yescharacteristic, complemented
113C2×Dic11⋊C8C2211yescharacteristic, complemented
114#10622681C2211yescharacteristic, complemented
115#10622676C2211yescharacteristic, complemented
116#10622672C2211yescharacteristic
117#10622667C2211yescharacteristic
118#10622664C2211yescharacteristic, complemented
119#10622663C2211yescharacteristic, complemented
120#10622663C2211yescharacteristic, complemented
121#10622661C2211yescharacteristic
122#10622661C2211yescharacteristic, complemented
123#10622660C2211yescharacteristic, complemented
124#10622654C2211yescharacteristic
125#10622650C2211yescharacteristic
126C4×#4326C2211yescharacteristic, complemented
127#10622641C2211yescharacteristic, complemented
128C4×#4324C2211yescharacteristic, complemented
129#10622629C2211yescharacteristic, complemented
130D4×C11⋊C8C2211yescharacteristic, complemented
131#10622615C2211yescharacteristic, complemented
132#10622609C2211yescharacteristic, complemented
133C2×#66874C2211yescharacteristic, complemented
134#10622580C2211yescharacteristic
135#10622504C2211yescharacteristic, complemented
136#10622504C2211yescharacteristic, complemented
137#10622500C2211yescharacteristic, complemented
138#10622486C2211yescharacteristic, complemented
139#10622477C2211yescharacteristic, complemented
140#10622475C2211yescharacteristic, complemented
141#10622470C2211yescharacteristic, complemented
142#10622470C2211yescharacteristic, complemented
143#10622467C2211yescharacteristic, complemented
144#10622465C2211yescharacteristic, complemented
145#10622465C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622458C2211yescharacteristic, complemented
148#10622458C2211yescharacteristic, complemented
149D11×C4⋊C8C2211yescharacteristic, complemented
150#10622443C2211yescharacteristic, complemented
151#10622432C2211yescharacteristic, complemented
152#10622432C2211yescharacteristic, complemented
153#10622431C2211yescharacteristic, complemented
154#10622421C2211yescharacteristic, complemented
155#10622421C2211yescharacteristic, complemented
156#10622419C2211yescharacteristic, complemented
157D11×#103C2211yescharacteristic, complemented
158#10622411C2211yescharacteristic, complemented
159#10622411C2211yescharacteristic, complemented
160#10622409C2211yescharacteristic, complemented
161#10622409C2211yescharacteristic, complemented
162#10622406C2211yescharacteristic, complemented
163#10622406C2211yescharacteristic, complemented
164#10622405C2211yescharacteristic, complemented
165#10622403C2211yescharacteristic, complemented
166#10622403C2211yescharacteristic, complemented
167#10622400C2211yescharacteristic
168#10622400C2211yescharacteristic, complemented
169#10622399C2211yescharacteristic
170#10622391C2211yescharacteristic
171#10622389C2211yescharacteristic
172#10622388C2211yescharacteristic
173#10622387C2211yescharacteristic
174#10622386C2211yescharacteristic
175D11×#102C2211yescharacteristic
176#10622381C2211yescharacteristic
177#10622381C2211yescharacteristic, complemented
178#10622380C2211yescharacteristic
179#10622380C2211yescharacteristic
180#10622380C2211yescharacteristic
181#10622380C2211yescharacteristic
182#10622380C2211yescharacteristic, complemented
183#10622380C2211yescharacteristic, complemented
184#10622380C2211yescharacteristic, complemented
185#10622380C2211yescharacteristic, complemented
186#10622375C2211yescharacteristic
187#10622373C2211yescharacteristic
188#10622372C2211yescharacteristic
189#10622371C2211yescharacteristic
190#10622369C2211yescharacteristic
191#10622351C2211yescharacteristic
192#10622351C2211yescharacteristic, complemented
193#10622346C2211yescharacteristic, complemented
194#10622346C2211yescharacteristic, complemented
195(C22⋊D11)⋊C8C2211yescharacteristic
196(C22⋊D11)⋊C8C2211yescharacteristic, complemented
197#10622331C2211yescharacteristic, complemented
198#10622331C2211yescharacteristic, complemented
199C4×Dic44C2211yescharacteristic, complemented
200#10622309C2211yescharacteristic, complemented
201#10622298C2211yescharacteristic, complemented
202C8×Dic22C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×D4×C11C2311yescharacteristic
205C22×C22⋊D11—21no—
206C2×Q8×D11C2311yescharacteristic
207C2×Q8×D11C2311yescharacteristic
208C2×#4341D411yescharacteristic
209C2×D4×D11C2311yescharacteristic
210C2×#4339—21no—
211C2×#4339C2311yescharacteristic
212C2×#4339C2311yescharacteristic
213C22×Dic22C2311yescharacteristic
214C22×Dic22C2311yescharacteristic
215C2×C11×Q16C2311yescharacteristic
216C2×C11×SD16C2311yescharacteristic
217C2×C11×SD16C2311yescharacteristic
218C22×C8×C11C2311yescharacteristic
219C22×C8×C11C2311yescharacteristic
220C11×#126—21no—
221C11×#125—21no—
222C11×#125C2311yescharacteristic
223C11×#124C2311yescharacteristic
224C11×#123—21no—
225C11×#123—21no—
226C11×C22⋊Q8C2311yescharacteristic
227C11×C22⋊Q8C2311yescharacteristic
228C11×C22⋊Q8C2311yescharacteristic
229C11×#121—21no—
230C11×#121C2311yescharacteristic
231C11×#120—21no—
232C4×Q8×C11C2311yescharacteristic
233C4×D4×C11C2311yescharacteristic
234C4×D4×C11C2311yescharacteristic
235C11×#117—21no—
236C11×#117C2311yescharacteristic
237C2×C11×C4⋊C4C2311yescharacteristic
238C2×C11×C22⋊C4—21no—
239#67006—21no—
240C2×C22⋊Dic11—21no—
241C2×C22⋊Dic11—21no—
242#67003—42no—
243#67000C2311yescharacteristic
244#67000C2311yescharacteristic
245Q8×Dic11C2311yescharacteristic
246Q8×Dic11C2311yescharacteristic
247#66997C2311yescharacteristic
248#66997C2311yescharacteristic
249C2×#4326C2311yescharacteristic
250C2×#4326C2311yescharacteristic
251C2×#4326C2311yescharacteristic
252C2×#4326C2311yescharacteristic
253C2×#4325C2311yescharacteristic
254C2×#4325C2311yescharacteristic
255#66993C2311yescharacteristic
256#66992—21no—
257#66992—21no—
258#66992—21no—
259#66992—21no—
260#66992—21no—
261#66991—21no—
262#66991—21no—
263#66991C2311yescharacteristic
264#66990—21no—
265#66990—21no—
266#66989—21no—
267#66989—21no—
268#66989—21no—
269#66989C2311yescharacteristic
270#66989C2311yescharacteristic
271#66989C2311yescharacteristic
272#66989C2311yescharacteristic
273#66988—21no—
274D4×Dic11—21no—
275D4×Dic11D411yescharacteristic
276D4×Dic11C2311yescharacteristic
277C2×#4324—42no—
278C2×#4324C2311yescharacteristic
279C2×#4324C2311yescharacteristic
280C2×#4324C2311yescharacteristic
281C2×#4324C2311yescharacteristic
282C2×#4323C2311yescharacteristic
283C2×#4323C2311yescharacteristic
284#66983C2311yescharacteristic
285#66983C2311yescharacteristic
286#66982—21no—
287#66982—21no—
288C4×C22⋊D11—21no—
289C4×C22⋊D11—21no—
290C4×C22⋊D11—21no—
291C4×C22⋊D11—21no—
292C4×C22⋊D11—21no—
293C4×C22⋊D11C2311yescharacteristic
294C4×C22⋊D11C2311yescharacteristic
295#66979—21no—
296#66977—21no—
297#66977C2311yescharacteristic
298#66977C2311yescharacteristic
299C2×Dic11⋊C4—21no—
300C2×C4×Dic11—21no—
301C2×C4×Dic11C2311yescharacteristic
302C2×C4×Dic11C2311yescharacteristic
303C22×C11⋊C8C2311yescharacteristic
304C22×C11⋊C8C2311yescharacteristic
305Q16×D11—42no—
306SD16×D11—42no—
307C2×Dic44—42no—
308C2×Dic44C2311yescharacteristic
309C2×Dic44C2311yescharacteristic
310C2×Dic44C2311yescharacteristic
311C2×Dic44C2311yescharacteristic
312#66957—42no—
313C2×D88C2311yescharacteristic
314C2×#4314C2311yescharacteristic
315C2×#4314C2311yescharacteristic
316C2×#4314C2311yescharacteristic
317C2×#4314C2311yescharacteristic
318C2×C8×D11C2311yescharacteristic
319C2×C8×D11C2311yescharacteristic
320#66951—21no—
321#66951—21no—
322#66951—21no—
323#66951—21no—
324#66950C2311yescharacteristic
325#66950C2311yescharacteristic
326#66949—21no—
327#66949—21no—
328#66949—21no—
329#66949—21no—
330#66949—21no—
331#66949—21no—
332#66949—21no—
333#66948C2311yescharacteristic
334#66947—21no—
335#66947—21no—
336#66946—21no—
337#66946—21no—
338#66946C2311yescharacteristic
339#66946C2311yescharacteristic
340#66946C2311yescharacteristic
341#66945—21no—
342#66945—21no—
343#66945—21no—
344#66945D411yescharacteristic
345C4⋊C4×D11—21no—
346C4⋊C4×D11C2311yescharacteristic
347#66943C2311yescharacteristic
348#66943C2311yescharacteristic
349#66942—21no—
350#66942—21no—
351#66942—21no—
352#66941—21no—
353#66941—21no—
354#66941—21no—
355#66941C2311yescharacteristic
356#66940—21no—
357#66940—21no—
358#66940—21no—
359#66940—21no—
360#66940—21no—
361#66940D411yescharacteristic
362#66940C2311yescharacteristic
363#66940C2311yescharacteristic
364#66940C2311yescharacteristic
365#66940C2311yescharacteristic
366#66940C2311yescharacteristic
367#66940C2311yescharacteristic
368#66939—21no—
369#66939—21no—
370#66938—21no—
371#66938—21no—
372#66938—21no—
373#66938—21no—
374#66938—21no—
375#66938—21no—
376#66937—21no—
377#66936—21no—
378#66936—21no—
379#66936—21no—
380#66936—21no—
381(C22⋊D11)⋊C4—21no—
382(C22⋊D11)⋊C4—21no—
383(C22⋊D11)⋊C4—21no—
384(C22⋊D11)⋊C4—21no—
385(C22⋊D11)⋊C4—21no—
386(C22⋊D11)⋊C4—21no—
387(C22⋊D11)⋊C4—21no—
388(C22⋊D11)⋊C4—21no—
389(C22⋊D11)⋊C4D411yescharacteristic
390(C22⋊D11)⋊C4D411yescharacteristic
391C22⋊C4×D11—21no—
392C22⋊C4×D11—21no—
393C22⋊C4×D11—21no—
394#66932—21no—
395#66932—21no—
396#66932—21no—
397#66932—21no—
398#66932—21no—
399#66931—21no—
400#66931—21no—
401#66931—21no—
402#66931—21no—
403#66930—21no—
404#66930—21no—
405#66930—21no—
406#66930D411yescharacteristic
407#66930D411yescharacteristic
408#66929—21no—
409#66928C2311yescharacteristic
410#66928C2311yescharacteristic
411#66925—21no—
412#66925—21no—
413#66925—21no—
414C42×D11—21no—
415C42×D11—21no—
416C42×D11C2311yescharacteristic
417#66923—21no—
418C4×Dic22—21no—
419C4×Dic22C2311yescharacteristic
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×#107C2311yescharacteristic
423C11×#106C2311yescharacteristic
424C11×#106C2311yescharacteristic
425C11×C4⋊C8C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#103C2311yescharacteristic
428C11×#103C2311yescharacteristic
429C11×#103C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×#102C2311yescharacteristic
434C11×#102C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×C22⋊C8C2311yescharacteristic
437C11×C22⋊C8C2311yescharacteristic
438C4×C8×C11C2311yescharacteristic
439#66899C2311yescharacteristic
440#66899C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443C22⋊(C11⋊C8)C2311yescharacteristic
444C22⋊(C11⋊C8)C2311yescharacteristic
445#66885C2311yescharacteristic
446#66885C2311yescharacteristic
447(C2×D11)⋊C8C2311yescharacteristic
448(C2×D11)⋊C8C2311yescharacteristic
449#66882C2311yescharacteristic
450#66880C2311yescharacteristic
451#66880C2311yescharacteristic
452#66880C2311yescharacteristic
453#66880C2311yescharacteristic
454Dic11⋊C8C2311yescharacteristic
455Dic11⋊C8C2311yescharacteristic
456Dic11⋊C8C2311yescharacteristic
457Dic11⋊C8C2311yescharacteristic
458Dic11⋊C8C2311yescharacteristic
459Dic11⋊C8C2311yescharacteristic
460Dic11⋊C8C2311yescharacteristic
461Dic11⋊C8C2311yescharacteristic
462C8×Dic11C2311yescharacteristic
463C8×Dic11C2311yescharacteristic
464C8×Dic11C2311yescharacteristic
465C8×Dic11C2311yescharacteristic
466#66874C2311yescharacteristic
467#66874C2311yescharacteristic
468#66874C2311yescharacteristic
469#66874C2311yescharacteristic
470#66874C2311yescharacteristic
471#66874C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66872C2311yescharacteristic
479#66872C2311yescharacteristic
480#66871C2311yescharacteristic
481#66871C2311yescharacteristic
482C4⋊(C11⋊C8)C2311yescharacteristic
483C4×C11⋊C8C2311yescharacteristic
484#61956—111nomaximal, Sylow
485C24×C11—21no—
486C23×D11—21no—
487C11×#41—41no—
488C11×#41—41no—
489C2×Q8×C11C2411yescharacteristic
490C2×Q8×C11C2411yescharacteristic
491C2×D4×C11—21no—
492C2×D4×C11—21no—
493C2×D4×C11—21no—
494C2×D4×C11—41no—
495C2×D4×C11—41no—
496C2×D4×C11C2×D411yescharacteristic
497C2×D4×C11C2411yescharacteristic
498C2×D4×C11C2411yescharacteristic
499C22×C4×C11—21no—
500C22×C4×C11—21no—
501C22×C4×C11—21no—
502C22×C4×C11C2411yescharacteristic
503C22×C4×C11C2411yescharacteristic
504C2×C22⋊D11—21no—
505C2×C22⋊D11—21no—
506C2×C22⋊D11—21no—
507C2×C22⋊D11—21no—
508C2×C22⋊D11—21no—
509C2×C22⋊D11—21no—
510C2×C22⋊D11—21no—
511C2×C22⋊D11—21no—
512C2×C22⋊D11—44no—
513C2×C22⋊D11C2×D411yescharacteristic
514C2×C22⋊D11C2×D411yescharacteristic
515C22×Dic11—21no—
516C22×Dic11—21no—
517C22×Dic11—21no—
518C22×Dic11C2×D411yescharacteristic
519C22×Dic11C2×D411yescharacteristic
520C22×Dic11C2×D411yescharacteristic
521C22×Dic11C2×D411yescharacteristic
522Q8×D11—22no—
523Q8×D11—41no—
524Q8×D11—41no—
525Q8×D11—41no—
526#4341—24no—
527D4×D11—41no—
528D4×D11—41no—
529#4339—22no—
530#4339—41no—
531#4339—41no—
532#4339—41no—
533#4339—44no—
534C2×D44—21no—
535C2×D44C2411yescharacteristic
536C2×D44C2411yescharacteristic
537C2×C4×D11—21no—
538C2×C4×D11—21no—
539C2×C4×D11—21no—
540C2×C4×D11—21no—
541C2×C4×D11—21no—
542C2×C4×D11—21no—
543C2×C4×D11—21no—
544C2×C4×D11—21no—
545C2×C4×D11C2×D411yescharacteristic
546C2×C4×D11C2×D411yescharacteristic
547C2×C4×D11C2411yescharacteristic
548C2×Dic22—22no—
549C2×Dic22—21no—
550C2×Dic22—21no—
551C2×Dic22—21no—
552C2×Dic22—21no—
553C2×Dic22—21no—
554C2×Dic22—41no—
555C2×Dic22—41no—
556C2×Dic22—41no—
557C2×Dic22C2×D411yescharacteristic
558C2×Dic22C2411yescharacteristic
559C2×Dic22C2411yescharacteristic
560C2×Dic22C2411yescharacteristic
561C2×Dic22C2411yescharacteristic
562C11×Q16—41no—
563C11×SD16—41no—
564C11×SD16—41no—
565C2×C8×C11—41no—
566C2×C8×C11—41no—
567C2×C8×C11C2411yescharacteristic
568C2×C8×C11C2411yescharacteristic
569C2×C8×C11C2411yescharacteristic
570C2×C8×C11C2411yescharacteristic
571C11×C4⋊C4—21no—
572C11×C4⋊C4—21no—
573C11×C4⋊C4—21no—
574C11×C4⋊C4—21no—
575C11×C4⋊C4—21no—
576C11×C4⋊C4—21no—
577C11×C4⋊C4—21no—
578C11×C4⋊C4C2×D411yescharacteristic
579C11×C4⋊C4C2411yescharacteristic
580C11×C4⋊C4C2411yescharacteristic
581C11×C4⋊C4C2411yescharacteristic
582C11×C4⋊C4C2411yescharacteristic
583C11×C22⋊C4—21no—
584C11×C22⋊C4—21no—
585C11×C22⋊C4—21no—
586C11×C22⋊C4—21no—
587C11×C22⋊C4—21no—
588C11×C22⋊C4—21no—
589C11×C22⋊C4—21no—
590C11×C22⋊C4—21no—
591C11×C22⋊C4C2×D411yescharacteristic
592C11×C22⋊C4C2×D411yescharacteristic
593C42×C11—21no—
594C42×C11—21no—
595C42×C11C2411yescharacteristic
596C22⋊Dic11—21no—
597C22⋊Dic11—21no—
598C22⋊Dic11—21no—
599C22⋊Dic11—21no—
600C22⋊Dic11—21no—
601C22⋊Dic11—21no—
602C22⋊Dic11—21no—
603C22⋊Dic11—21no—
604C22⋊Dic11—21no—
605C22⋊Dic11—21no—
606C22⋊Dic11—21no—
607C22⋊Dic11—21no—
608C22⋊Dic11C2×D411yescharacteristic
609C22⋊Dic11C2×D411yescharacteristic
610#4326—22no—
611#4326—41no—
612#4326—41no—
613#4326—41no—
614#4325—41no—
615#4325—41no—
616#4324—22no—
617#4324—22no—
618#4324—41no—
619#4324—41no—
620#4323—41no—
621#4323—41no—
622(C2×D11)⋊C4—21no—
623(C2×D11)⋊C4—21no—
624(C2×D11)⋊C4—21no—
625(C2×D11)⋊C4—21no—
626(C2×D11)⋊C4—21no—
627(C2×D11)⋊C4—21no—
628(C2×D11)⋊C4—21no—
629(C2×D11)⋊C4—21no—
630(C2×D11)⋊C4—21no—
631(C2×D11)⋊C4—21no—
632(C2×D11)⋊C4—21no—
633(C2×D11)⋊C4—21no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4—21no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4—21no—
638(C2×D11)⋊C4C2×D411yescharacteristic
639(C2×D11)⋊C4C2×D411yescharacteristic
640C4⋊Dic11—21no—
641C4⋊Dic11—21no—
642C4⋊Dic11—21no—
643C4⋊Dic11—21no—
644C4⋊Dic11—21no—
645C4⋊Dic11—21no—
646C4⋊Dic11C2×D411yescharacteristic
647C4⋊Dic11C2411yescharacteristic
648C4⋊Dic11C2411yescharacteristic
649Dic11⋊C4—21no—
650Dic11⋊C4—21no—
651Dic11⋊C4—21no—
652Dic11⋊C4—21no—
653Dic11⋊C4—21no—
654Dic11⋊C4—21no—
655Dic11⋊C4—21no—
656Dic11⋊C4—21no—
657Dic11⋊C4—21no—
658Dic11⋊C4—21no—
659Dic11⋊C4—21no—
660Dic11⋊C4—21no—
661Dic11⋊C4—21no—
662Dic11⋊C4—21no—
663Dic11⋊C4—21no—
664Dic11⋊C4—21no—
665Dic11⋊C4—21no—
666Dic11⋊C4—21no—
667Dic11⋊C4C2×D411yescharacteristic
668Dic11⋊C4C2×D411yescharacteristic
669Dic11⋊C4C2×D411yescharacteristic
670Dic11⋊C4C2×D411yescharacteristic
671C4×Dic11—21no—
672C4×Dic11—21no—
673C4×Dic11—21no—
674C4×Dic11—21no—
675C4×Dic11—21no—
676C4×Dic11—21no—
677C4×Dic11—21no—
678C4×Dic11—21no—
679C4×Dic11—21no—
680C4×Dic11—21no—
681C4×Dic11C2×D411yescharacteristic
682C4×Dic11C2×D411yescharacteristic
683C4×Dic11C2×D411yescharacteristic
684C4×Dic11C2×D411yescharacteristic
685C4×Dic11C2×D411yescharacteristic
686C4×Dic11C2×D411yescharacteristic
687C4×Dic11C2411yescharacteristic
688C4×Dic11C2411yescharacteristic
689C4×Dic11C2411yescharacteristic
690C2×C11⋊C8—41no—
691C2×C11⋊C8—41no—
692C2×C11⋊C8C2411yescharacteristic
693C2×C11⋊C8C2411yescharacteristic
694C2×C11⋊C8C2411yescharacteristic
695C2×C11⋊C8C2411yescharacteristic
696Dic44—22no—
697Dic44—22no—
698Dic44—41no—
699Dic44—41no—
700D88—41no—
701#4314—22no—
702#4314—41no—
703#4314—41no—
704#4314—41no—
705C8×D11—41no—
706C8×D11—41no—
707#3514—111no—
708#3482—111no—
709#3394—111no—
710#3393—111no—
711#3365—111no—
712#3364—111no—
713#3300—111no—
714#3300—111no—
715#3298—111no—
716#3296—111no—
717#3296D1111yescharacteristic, complemented
718#3294—111no—
719D4×Q16—111no—
720#3285—111no—
721#3285—111no—
722#3282—111no—
723#3282—111no—
724D4×SD16—111no—
725#3250—111no—
726#3250—111no—
727#3248—111no—
728#3211—111no—
729#3211—111no—
730#3210—111no—
731#3108—111no—
732#3108—111no—
733#3102—111no—
734#3035—111no—
735C2×#464—111no—
736C2×#464—111no—
737#2988—111no—
738C23×C11—21no—
739C23×C11—21no—
740C23×C11—42no—
741C23×C11—81no—
742C23×C11—81no—
743C23×C11C22×D411yescharacteristic
744C23×C11C22×D411yescharacteristic
745C22×D11—21no—
746C22×D11—21no—
747C22×D11—42no—
748C22×D11—81no—
749C22×D11—81no—
750C22×D11C22×D411yescharacteristic
751Q8×C11—21no—
752Q8×C11—21no—
753Q8×C11—21no—
754Q8×C11—21no—
755D4×C11—22no—
756D4×C11—21no—
757D4×C11—21no—
758D4×C11—21no—
759D4×C11—21no—
760D4×C11—81no—
761D4×C11—81no—
762D4×C11—81no—
763C2×C4×C11—21no—
764C2×C4×C11—21no—
765C2×C4×C11—21no—
766C2×C4×C11—21no—
767C2×C4×C11—21no—
768C2×C4×C11—21no—
769C2×C4×C11—21no—
770C2×C4×C11—21no—
771C2×C4×C11—21no—
772C2×C4×C11—21no—
773C2×C4×C11—42no—
774C2×C4×C11—81no—
775C2×C4×C11—81no—
776C2×C4×C11C22×D411yescharacteristic
777C2×C4×C11C22×D411yescharacteristic
778C2×C4×C11C22×D411yescharacteristic
779C2×C4×C11C22×D411yescharacteristic
780C2×C4×C11C2511yescharacteristic
781C22⋊D11—22no—
782C22⋊D11—42no—
783C22⋊D11—42no—
784C22⋊D11—42no—
785C22⋊D11—42no—
786C22⋊D11—42no—
787C22⋊D11—81no—
788C22⋊D11—81no—
789C22⋊D11—81no—
790C22⋊D11#13514yescomplemented
791C2×Dic11—22no—
792C2×Dic11—21no—
793C2×Dic11—22no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—41no—
800C2×Dic11—41no—
801C2×Dic11—42no—
802C2×Dic11—42no—
803C2×Dic11—81no—
804C2×Dic11C22×D411yescharacteristic
805C2×Dic11C22×D411yescharacteristic
806C2×Dic11C22×D411yescharacteristic
807C2×Dic11C22×D411yescharacteristic
808C2×Dic11C22×D411yescharacteristic
809C2×Dic11C22×D411yescharacteristic
810C2×Dic11C22×D411yescharacteristic
811D44—21no—
812D44—21no—
813D44—21no—
814D44—21no—
815D44—42no—
816C4×D11—22no—
817C4×D11—21no—
818C4×D11—21no—
819C4×D11—41no—
820C4×D11—42no—
821C4×D11—42no—
822C4×D11—42no—
823C4×D11—42no—
824C4×D11—42no—
825C4×D11—81no—
826C4×D11—81no—
827C4×D11—81no—
828Dic22—21no—
829Dic22—22no—
830Dic22—21no—
831Dic22—21no—
832Dic22—21no—
833Dic22—21no—
834Dic22—21no—
835Dic22—21no—
836Dic22—42no—
837Dic22—42no—
838Dic22—42no—
839Dic22—81no—
840Dic22—81no—
841Dic22H(5,𝔽2)12yes—
842C8×C11—21no—
843C8×C11—21no—
844C8×C11—21no—
845C8×C11—21no—
846C11⋊C8—21no—
847C11⋊C8—21no—
848C11⋊C8—21no—
849C11⋊C8—21no—
850C2×#135—111no—
851C2×#135—111no—
852C22×Q16—111no—
853C22×Q16—111no—
854C22×SD16—111no—
855C22×SD16—111no—
856#559—111no—
857#557—111no—
858#556—111no—
859#556—111no—
860#556—221no—
861#555—221no—
862#552—111no—
863#552—221no—
864#552—221no—
865#552C2×D1111yescharacteristic, complemented
866#551—221no—
867#551—221no—
868D4×Q8—111no—
869D4×Q8—111no—
870#548—111no—
871#548—111no—
872#548—111no—
873#548—111no—
874#547—111no—
875#547—221no—
876#546—111no—
877#546—221no—
878#546C2×D1111yescharacteristic
879D42—111no—
880#542—221no—
881#538—221no—
882#538—221no—
883#533—111no—
884#533—221no—
885#532—111no—
886#529—111no—
887#529—111no—
888#529—111no—
889#529—111no—
890#529—111no—
891#529—221no—
892#529—221no—
893C2×#124—111no—
894C2×#124—111no—
895#518—221no—
896C4×#41—111no—
897C4×#41—111no—
898C4×#41—221no—
899C2×C4×Q8—111no—
900C2×C4×Q8—111no—
901#495—111no—
902#495—111no—
903#495—111no—
904#495—111no—
905#494—111no—
906#492—111no—
907#488—111no—
908#488—111no—
909#488—111no—
910#488C2×D1111yescharacteristic
911#487—111no—
912#486—111no—
913#485—111no—
914#483—111no—
915#483C2×D1111yescharacteristic, complemented
916#482C2×D1111yescharacteristic
917#480—111no—
918#480—111no—
919#479—111no—
920#479—111no—
921#479—111no—
922#479—111no—
923#479—111no—
924#478—111no—
925#478—111no—
926#478C2×D1111yescharacteristic, complemented
927#475—111no—
928#474—111no—
929#467—111no—
930#467—111no—
931#467—111no—
932#467C2×D1111yescharacteristic, complemented
933#466—111no—
934#466—111no—
935#465—111no—
936#465—111no—
937#465—111no—
938#465—111no—
939#465—111no—
940#465C2×D1111yescharacteristic
941#464—111no—
942#464—111no—
943#464—111no—
944#464—111no—
945#464—111no—
946#464—111no—
947#464—111no—
948#464—111no—
949#464—111no—
950#464—111no—
951#464—111no—
952#464—111no—
953#464—111no—
954#464—111no—
955#464—111no—
956#464—111no—
957#464—111no—
958#464—111no—
959#464C2×D1111yescharacteristic
960#463—111no—
961#463—111no—
962#463—111no—
963#463—111no—
964#463—111no—
965#462—111no—
966#462—111no—
967#461—111no—
968#461—111no—
969#460—111no—
970#459—111no—
971#452—111no—
972#452—111no—
973#452—111no—
974#452—111no—
975#452C2×D1111yescharacteristic, complemented
976#451—111no—
977#451—111no—
978#451—111no—
979#451—111no—
980#450—111no—
981#450C2×D1111yescharacteristic
982#449—111no—
983#448—111no—
984#448—111no—
985#448—111no—
986#448—111no—
987#447—111no—
988#447—111no—
989C8×Q8—111no—
990C8×Q8—111no—
991C4×Q16—111no—
992C4×Q16—111no—
993C4×Q16—111no—
994C4×Q16—111no—
995C4×Q16—111no—
996C4×SD16—111no—
997C4×SD16—111no—
998C4×SD16—111no—
999C4×SD16—111no—
1000C4×SD16—111no—
1001C4×SD16C2×D1111yescharacteristic, complemented
1002C4×D8—111no—
1003C8×D4—111no—
1004C8×D4—111no—
1005C8×D4—111no—
1006C8×D4—111no—
1007C8×D4—111no—
1008C8×D4C2×D1111yescharacteristic, complemented
1009#431—111no—
1010#431—111no—
1011#431—111no—
1012C2×C4⋊C8—111no—
1013C2×C4⋊C8—111no—
1014C2×C4⋊C8—111no—
1015#416—111no—
1016#416C2×D1111yescharacteristic, complemented
1017C2×#103—111no—
1018C2×#103—111no—
1019C2×#102—111no—
1020C2×#102C2×D1111yescharacteristic
1021C22×C11—21no—
1022C22×C11—21no—
1023C22×C11—21no—
1024C22×C11—21no—
1025C22×C11—21no—
1026C22×C11—41no—
1027C22×C11—41no—
1028C22×C11—41no—
1029C22×C11—41no—
1030C22×C11—41no—
1031C22×C11—41no—
1032C22×C11—162no—
1033C22×C11C2×#13512yes—
1034C22×C11C23×D411yescharacteristic
1035C2×D11—21no—
1036C2×D11—21no—
1037C2×D11—41no—
1038C2×D11—41no—
1039C2×D11—41no—
1040C2×D11—41no—
1041C2×D11—41no—
1042C2×D11—41no—
1043C2×D11—162no—
1044C2×D11C2×#13512yes—
1045C4×C11—21no—
1046C4×C11—21no—
1047C4×C11—21no—
1048C4×C11—21no—
1049C4×C11—41no—
1050C4×C11—41no—
1051C4×C11—41no—
1052C4×C11—41no—
1053C4×C11—41no—
1054C4×C11—41no—
1055C4×C11C2×H(5,𝔽2)11yescharacteristic
1056C4×C11#58511yescharacteristic
1057Dic11—21no—
1058Dic11—21no—
1059Dic11—21no—
1060Dic11—22no—
1061Dic11—21no—
1062Dic11—21no—
1063Dic11—21no—
1064Dic11—41no—
1065Dic11—41no—
1066Dic11—41no—
1067Dic11—41no—
1068Dic11—41no—
1069Dic11C2×#13512yes—
1070C2×#41—111no—
1071C2×#41—111no—
1072C2×#41—111no—
1073C2×#41—221no—
1074C2×#41C22×D1111yescharacteristic
1075C22×Q8—111no—
1076C22×Q8—111no—
1077C22×Q8—111no—
1078C22×Q8—111no—
1079C22×D4—111no—
1080C22×D4—221no—
1081C22×D4C22×D1111yescharacteristic
1082#135—442no—
1083#135—442no—
1084C2×Q16—111no—
1085C2×Q16—111no—
1086C2×Q16—111no—
1087C2×Q16—111no—
1088C2×Q16—111no—
1089C2×Q16—111no—
1090C2×Q16—111no—
1091C2×Q16—111no—
1092C2×Q16—442no—
1093C2×Q16—442no—
1094C2×Q16C22×D1111yescharacteristic
1095C2×SD16—111no—
1096C2×SD16—111no—
1097C2×SD16—111no—
1098C2×SD16—111no—
1099C2×SD16—111no—
1100C2×SD16—111no—
1101C2×SD16—111no—
1102C2×SD16—111no—
1103C2×SD16—111no—
1104C2×SD16—111no—
1105C2×SD16—442no—
1106C2×SD16—442no—
1107C2×SD16C22×D1111yescharacteristic
1108C2×SD16C22×D1111yescharacteristic
1109C2×D8—111no—
1110C2×D8—111no—
1111C2×D8—111no—
1112C22×C8—111no—
1113C22×C8—111no—
1114C22×C8—111no—
1115C22×C8—111no—
1116C22×C8C22×D1111yescharacteristic
1117C22×C8C22×D1111yescharacteristic
1118C4⋊Q8—111no—
1119C4⋊Q8—111no—
1120C4⋊Q8—111no—
1121C4⋊Q8—221no—
1122C4⋊Q8—221no—
1123C4⋊Q8—221no—
1124#127—111no—
1125#126—21no—
1126#126—221no—
1127#126—221no—
1128#126—221no—
1129#126—221no—
1130#126—221no—
1131#126—221no—
1132#126—221no—
1133#126—221no—
1134#126—221no—
1135#126—221no—
1136#125—21no—
1137#125—111no—
1138#125—111no—
1139#125—221no—
1140#125—221no—
1141#125—221no—
1142#125—221no—
1143#125C22×D1111yescharacteristic
1144#124—111no—
1145#124—111no—
1146#124—111no—
1147#124—111no—
1148#124—111no—
1149#124—111no—
1150#124—111no—
1151#124—111no—
1152#124—221no—
1153#124—221no—
1154#124—221no—
1155#124—221no—
1156#124—221no—
1157#124—221no—
1158#124—221no—
1159#124—221no—
1160#124—221no—
1161#124C22×D1111yescharacteristic
1162#123—21no—
1163#123—21no—
1164#123—221no—
1165#123—221no—
1166#123—221no—
1167#123—221no—
1168#123—221no—
1169#123—221no—
1170#123—221no—
1171#123—221no—
1172#123—221no—
1173#123—221no—
1174#123—221no—
1175C22⋊Q8—111no—
1176C22⋊Q8—111no—
1177C22⋊Q8—111no—
1178C22⋊Q8—111no—
1179C22⋊Q8—221no—
1180C22⋊Q8—221no—
1181C22⋊Q8—221no—
1182C22⋊Q8—221no—
1183C22⋊Q8—221no—
1184C22⋊Q8—221no—
1185C22⋊Q8—221no—
1186C22⋊Q8—221no—
1187C22⋊Q8—221no—
1188C22⋊Q8—221no—
1189C22⋊Q8—221no—
1190C22⋊Q8—221no—
1191C22⋊Q8C22×D1111yescharacteristic
1192C22⋊Q8C22×D1111yescharacteristic
1193C22⋊Q8C22×D1111yescharacteristic
1194#121—21no—
1195#121—111no—
1196#121—111no—
1197#121—111no—
1198#121—111no—
1199#121—221no—
1200#121—221no—
1201#121—221no—
1202#121—221no—
1203#121—221no—
1204#121—221no—
1205#121—221no—
1206#121—221no—
1207#121C22×D1111yescharacteristic
1208#120—21no—
1209#120—221no—
1210#120—221no—
1211#120—221no—
1212C4×Q8—111no—
1213C4×Q8—111no—
1214C4×Q8—111no—
1215C4×Q8—111no—
1216C4×Q8—111no—
1217C4×Q8—111no—
1218C4×Q8—111no—
1219C4×Q8—111no—
1220C4×Q8—111no—
1221C4×Q8—111no—
1222C4×Q8—111no—
1223C4×Q8—111no—
1224C4×Q8—221no—
1225C4×Q8—221no—
1226C4×Q8—221no—
1227C4×Q8—221no—
1228C4×Q8—221no—
1229C4×Q8—221no—
1230C4×Q8C22×D1111yescharacteristic
1231C4×D4—111no—
1232C4×D4—111no—
1233C4×D4—111no—
1234C4×D4—111no—
1235C4×D4—111no—
1236C4×D4—111no—
1237C4×D4—111no—
1238C4×D4—111no—
1239C4×D4—111no—
1240C4×D4—221no—
1241C4×D4—221no—
1242C4×D4—221no—
1243C4×D4—221no—
1244C4×D4—221no—
1245C4×D4—221no—
1246C4×D4—221no—
1247C4×D4—221no—
1248C4×D4—221no—
1249C4×D4—221no—
1250C4×D4—221no—
1251C4×D4—221no—
1252C4×D4—221no—
1253C4×D4—221no—
1254C4×D4—221no—
1255C4×D4—221no—
1256C4×D4C22×D1111yescharacteristic
1257C4×D4C22×D1111yescharacteristic
1258#117—21no—
1259#117—111no—
1260#117—111no—
1261#117—111no—
1262#117—221no—
1263#117—221no—
1264#117—221no—
1265#117—221no—
1266#117—221no—
1267#117—221no—
1268#117—221no—
1269#117—221no—
1270#117—221no—
1271#117—221no—
1272#117C22×D1111yescharacteristic
1273C2×C4⋊C4—111no—
1274C2×C4⋊C4—221no—
1275C2×C4⋊C4—221no—
1276C2×C4⋊C4C22×D1111yescharacteristic
1277C2×C22⋊C4—21no—
1278C2×C22⋊C4—221no—
1279C2×C22⋊C4—221no—
1280C2×C22⋊C4—221no—
1281C2×C22⋊C4—221no—
1282C2×C22⋊C4—221no—
1283C2×C42—111no—
1284C2×C42—111no—
1285C2×C42—111no—
1286C2×C42—221no—
1287C2×C42—221no—
1288C2×C42—221no—
1289#107—111no—
1290#107—111no—
1291#107—111no—
1292#107C22×D1111yescharacteristic
1293#106—111no—
1294#106—111no—
1295#106C22×D1111yescharacteristic
1296#106C22×D1111yescharacteristic
1297C4⋊C8—111no—
1298C4⋊C8—111no—
1299C4⋊C8—111no—
1300C4⋊C8—111no—
1301C4⋊C8—111no—
1302C4⋊C8—111no—
1303C4⋊C8—111no—
1304C4⋊C8—111no—
1305C4⋊C8—111no—
1306C4⋊C8C22×D1111yescharacteristic
1307#103—111no—
1308#103—111no—
1309#103—111no—
1310#103—111no—
1311#103—111no—
1312#103—111no—
1313#103—111no—
1314#103—111no—
1315#103—111no—
1316#103—111no—
1317#103—111no—
1318#103—111no—
1319#103—111no—
1320#103—111no—
1321#103C22×D1111yescharacteristic
1322#103C22×D1111yescharacteristic
1323#103C22×D1111yescharacteristic
1324#103C22×D1111yescharacteristic
1325#102—111no—
1326#102—111no—
1327#102—111no—
1328#102—111no—
1329#102—111no—
1330#102—111no—
1331#102—111no—
1332#102—111no—
1333#102C22×D1111yescharacteristic
1334#102C22×D1111yescharacteristic
1335#102C22×D1111yescharacteristic
1336#102C22×D1111yescharacteristic
1337#102C22×D1111yescharacteristic
1338#102C22×D1111yescharacteristic
1339C22⋊C8—111no—
1340C22⋊C8—111no—
1341C22⋊C8—111no—
1342C22⋊C8—111no—
1343C22⋊C8C22×D1111yescharacteristic
1344C22⋊C8C22×D1111yescharacteristic
1345C4×C8—111no—
1346C4×C8—111no—
1347C4×C8—111no—
1348C4×C8—111no—
1349C4×C8—111no—
1350C4×C8C22×D1111yescharacteristic
1351C2×C11—22no—
1352C2×C11—41no—
1353C2×C11—81no—
1354C2×C11—81no—
1355C2×C11#348811yescharacteristic
1356C2×C11C22×#13511yescharacteristic
1357C2×C11#358611yescharacteristic
1358D11—22no—
1359D11—81no—
1360D11—81no—
1361C24—21no—
1362C24—221no—
1363#41—41no—
1364#41—41no—
1365#41—222no—
1366#41—224no—
1367#41—441no—
1368#41—441no—
1369#41—441no—
1370#41—444no—
1371C2×Q8—111no—
1372C2×Q8—111no—
1373C2×Q8—111no—
1374C2×Q8—111no—
1375C2×Q8—111no—
1376C2×Q8—221no—
1377C2×Q8—221no—
1378C2×Q8—221no—
1379C2×Q8—222no—
1380C2×Q8—221no—
1381C2×Q8—221no—
1382C2×Q8—222no—
1383C2×Q8—441no—
1384C2×Q8—441no—
1385C2×Q8—441no—
1386C2×Q8—441no—
1387C2×Q8—441no—
1388C2×Q8—441no—
1389C2×Q8C23×D1111yescharacteristic
1390C2×Q8C23×D1111yescharacteristic
1391C2×D4—21no—
1392C2×D4—21no—
1393C2×D4—21no—
1394C2×D4—41no—
1395C2×D4—41no—
1396C2×D4—111no—
1397C2×D4—111no—
1398C2×D4—111no—
1399C2×D4—111no—
1400C2×D4—221no—
1401C2×D4—221no—
1402C2×D4—221no—
1403C2×D4—221no—
1404C2×D4—221no—
1405C2×D4—221no—
1406C2×D4—221no—
1407C2×D4—221no—
1408C2×D4—221no—
1409C2×D4—441no—
1410C2×D4—441no—
1411C2×D4—444no—
1412C2×D4D4×D1111yescharacteristic
1413C2×D4C23×D1111yescharacteristic
1414C2×D4C23×D1111yescharacteristic
1415C22×C4—21no—
1416C22×C4—21no—
1417C22×C4—21no—
1418C22×C4—111no—
1419C22×C4—111no—
1420C22×C4—111no—
1421C22×C4—111no—
1422C22×C4—111no—
1423C22×C4—111no—
1424C22×C4—111no—
1425C22×C4—221no—
1426C22×C4—221no—
1427C22×C4—221no—
1428C22×C4—221no—
1429C22×C4—221no—
1430C22×C4—221no—
1431C22×C4—221no—
1432C22×C4—221no—
1433C22×C4—221no—
1434C22×C4—221no—
1435C22×C4—221no—
1436C22×C4C23×D1111yescharacteristic
1437C22×C4C23×D1111yescharacteristic
1438Q16—41no—
1439Q16—222no—
1440Q16—222no—
1441Q16—222no—
1442Q16—441no—
1443Q16—441no—
1444Q16—441no—
1445Q16—441no—
1446Q16—441no—
1447SD16—41no—
1448SD16—41no—
1449SD16—222no—
1450SD16—222no—
1451SD16—222no—
1452SD16—441no—
1453SD16—441no—
1454SD16—441no—
1455SD16—441no—
1456SD16—441no—
1457SD16—441no—
1458SD16—441no—
1459D8—441no—
1460D8—441no—
1461D8—441no—
1462C2×C8—41no—
1463C2×C8—41no—
1464C2×C8—111no—
1465C2×C8—111no—
1466C2×C8—111no—
1467C2×C8—111no—
1468C2×C8—441no—
1469C2×C8—441no—
1470C2×C8—441no—
1471C2×C8—441no—
1472C2×C8C23×D1111yescharacteristic
1473C2×C8C23×D1111yescharacteristic
1474C2×C8C23×D1111yescharacteristic
1475C2×C8C23×D1111yescharacteristic
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—111no—
1484C4⋊C4—111no—
1485C4⋊C4—111no—
1486C4⋊C4—111no—
1487C4⋊C4—111no—
1488C4⋊C4—111no—
1489C4⋊C4—111no—
1490C4⋊C4—221no—
1491C4⋊C4—221no—
1492C4⋊C4—221no—
1493C4⋊C4—221no—
1494C4⋊C4—221no—
1495C4⋊C4—221no—
1496C4⋊C4—221no—
1497C4⋊C4—221no—
1498C4⋊C4—221no—
1499C4⋊C4—221no—
1500C4⋊C4—221no—
1501C4⋊C4—221no—
1502C4⋊C4—221no—
1503C4⋊C4—221no—
1504C4⋊C4—221no—
1505C4⋊C4—221no—
1506C4⋊C4—221no—
1507C4⋊C4—221no—
1508C4⋊C4—221no—
1509C4⋊C4—221no—
1510C4⋊C4—221no—
1511C4⋊C4—221no—
1512C4⋊C4—221no—
1513C4⋊C4—221no—
1514C4⋊C4D4×D1111yescharacteristic
1515C4⋊C4C23×D1111yescharacteristic
1516C4⋊C4C23×D1111yescharacteristic
1517C4⋊C4C23×D1111yescharacteristic
1518C4⋊C4C23×D1111yescharacteristic
1519C22⋊C4—21no—
1520C22⋊C4—21no—
1521C22⋊C4—21no—
1522C22⋊C4—21no—
1523C22⋊C4—21no—
1524C22⋊C4—21no—
1525C22⋊C4—21no—
1526C22⋊C4—21no—
1527C22⋊C4—111no—
1528C22⋊C4—111no—
1529C22⋊C4—111no—
1530C22⋊C4—111no—
1531C22⋊C4—221no—
1532C22⋊C4—221no—
1533C22⋊C4—221no—
1534C22⋊C4—221no—
1535C22⋊C4—221no—
1536C22⋊C4—221no—
1537C22⋊C4—221no—
1538C22⋊C4—221no—
1539C22⋊C4—221no—
1540C22⋊C4—221no—
1541C22⋊C4—221no—
1542C22⋊C4—221no—
1543C22⋊C4—221no—
1544C22⋊C4—221no—
1545C22⋊C4—221no—
1546C22⋊C4—221no—
1547C22⋊C4—221no—
1548C22⋊C4—221no—
1549C22⋊C4—221no—
1550C22⋊C4—221no—
1551C22⋊C4—221no—
1552C22⋊C4—221no—
1553C22⋊C4—221no—
1554C22⋊C4—221no—
1555C22⋊C4—221no—
1556C22⋊C4—221no—
1557C22⋊C4—221no—
1558C22⋊C4—221no—
1559C22⋊C4D4×D1111yescharacteristic
1560C22⋊C4D4×D1111yescharacteristic
1561C42—21no—
1562C42—21no—
1563C42—111no—
1564C42—111no—
1565C42—111no—
1566C42—111no—
1567C42—111no—
1568C42—111no—
1569C42—111no—
1570C42—111no—
1571C42—111no—
1572C42—221no—
1573C42—221no—
1574C42—221no—
1575C42—221no—
1576C42—221no—
1577C42—221no—
1578C42—221no—
1579C42—221no—
1580C42—221no—
1581C42—221no—
1582C42C23×D1111yescharacteristic
1583C11#6195611yescharacteristic, complemented, Sylow
1584C23—21no—
1585C23—21no—
1586C23—42no—
1587C23—81no—
1588C23—81no—
1589C23—111no—
1590C23—221no—
1591C23—221no—
1592C23—442no—
1593C23—881no—
1594C23—881no—
1595C23C2×D4×D1111yescharacteristic
1596C23C2×D4×D1111yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—112no—
1602Q8—222no—
1603Q8—221no—
1604Q8—221no—
1605Q8—221no—
1606Q8—221no—
1607Q8—221no—
1608Q8—221no—
1609Q8—221no—
1610Q8—442no—
1611Q8—442no—
1612Q8—442no—
1613Q8—881no—
1614Q8—881no—
1615D4—22no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—21no—
1620D4—81no—
1621D4—81no—
1622D4—81no—
1623D4—114no—
1624D4—222no—
1625D4—221no—
1626D4—221no—
1627D4—221no—
1628D4—221no—
1629D4—442no—
1630D4—442no—
1631D4—442no—
1632D4—442no—
1633D4—442no—
1634D4—442no—
1635D4—881no—
1636D4—881no—
1637D4—881no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—21no—
1648C2×C4—42no—
1649C2×C4—81no—
1650C2×C4—81no—
1651C2×C4—111no—
1652C2×C4—111no—
1653C2×C4—111no—
1654C2×C4—111no—
1655C2×C4—111no—
1656C2×C4—111no—
1657C2×C4—111no—
1658C2×C4—222no—
1659C2×C4—222no—
1660C2×C4—222no—
1661C2×C4—221no—
1662C2×C4—221no—
1663C2×C4—221no—
1664C2×C4—221no—
1665C2×C4—221no—
1666C2×C4—221no—
1667C2×C4—221no—
1668C2×C4—221no—
1669C2×C4—441no—
1670C2×C4—442no—
1671C2×C4—442no—
1672C2×C4—442no—
1673C2×C4—442no—
1674C2×C4—442no—
1675C2×C4—442no—
1676C2×C4—441no—
1677C2×C4—441no—
1678C2×C4—442no—
1679C2×C4—881no—
1680C2×C4—881no—
1681C2×C4—881no—
1682C2×C4—881no—
1683C2×C4C2×D4×D1111yescharacteristic
1684C2×C4C2×D4×D1111yescharacteristic
1685C2×C4C2×D4×D1111yescharacteristic
1686C2×C4C2×D4×D1111yescharacteristic
1687C2×C4C24×D1111yescharacteristic
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—221no—
1693C8—221no—
1694C8—221no—
1695C8—221no—
1696C22—21no—
1697C22—21no—
1698C22—21no—
1699C22—21no—
1700C22—21no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—41no—
1705C22—41no—
1706C22—41no—
1707C22—112no—
1708C22—162no—
1709C22—221no—
1710C22—221no—
1711C22—441no—
1712C22—441no—
1713C22—441no—
1714C22—441no—
1715C22—441no—
1716C22—441no—
1717C22—1762no—
1718C22D11×#13512yes—
1719C22C22×D4×D1111yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—41no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—112no—
1731C4—221no—
1732C4—221no—
1733C4—221no—
1734C4—221no—
1735C4—222no—
1736C4—221no—
1737C4—221no—
1738C4—441no—
1739C4—441no—
1740C4—441no—
1741C4—441no—
1742C4—441no—
1743C4#1062345311yescharacteristic
1744C4D11×H(5,𝔽2)11yescharacteristic
1745C2—22no—
1746C2—41no—
1747C2—81no—
1748C2—81no—
1749C2—222no—
1750C2—881no—
1751C2—881no—
1752C2#1308227911yescharacteristic
1753C2C2×D11×#13511yescharacteristic
1754C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3296C2
socleC22×C11C23×D4
hypercenter#3296D11
hypocenterC11#61956
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3296

Complements

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

NH ≅ G/Ntype
1. #13082574C2semidirect
2. #13082230C2semidirect
3. #13081613C2semidirect
4. #13081599C2semidirect
5. #13081315C2semidirect
6. #13081298C2semidirect
7. #13080504C2semidirect
8. #13080497C2semidirect
9. #13080479C2semidirect
10. #13080454C2semidirect
11. #13080425C2semidirect
12. #13080365C2semidirect
13. #13080359C2semidirect
14. #13080355C2semidirect
15. #13080330C2semidirect
16. #13080319C2semidirect
17. #13080310C2semidirect
18. #13079969C2semidirect
19. #13079967C2semidirect
20. #13079946C2semidirect
21. #13079584C2semidirect
22. #13079582C2semidirect
23. #13079570C2semidirect
24. #13078699C2semidirect
25. #13078694C2semidirect
26. #13078629C2semidirect
27. #13078069C2semidirect
28. C2×#10622380C2semidirect
29. D11×#464C2semidirect
30. #13077723C2semidirect
31. C11×#3296C2semidirect
32. C11×#552C22semidirect
36. C2×#67003C22semidirect
40. C2×Q16×D11C22semidirect
42. C22×Dic44C22semidirect
43. C2×#66957C22semidirect
47. #10623222C22semidirect
49. #10623216C22semidirect
56. #10623164C22semidirect
60. #10623155C22semidirect
61. #10623153C22semidirect
68. C4×Q8×D11C22semidirect
69. #10623099C22semidirect
73. #10623083C22semidirect
76. #10623060C22semidirect
78. #10623053C22semidirect
80. C2×#66940C22semidirect
84. C11×#483C22semidirect
86. C11×#478C22semidirect
87. C11×#467C22semidirect
90. C11×#452C22semidirect
92. C4×C11×SD16C22semidirect
93. C8×D4×C11C22semidirect
94. C11×#416C22semidirect
96. #10622852C22semidirect
98. #10622798C22semidirect
99. #10622798C22semidirect
100. #10622794C22semidirect
104. #10622781C22semidirect
106. #10622779C22semidirect
108. #10622729C22semidirect
111. C8×C22⋊D11C22semidirect
112. C2×Dic11⋊C8C22semidirect
113. C2×Dic11⋊C8C22semidirect
114. #10622681C22semidirect
115. #10622676C22semidirect
118. #10622664C22semidirect
119. #10622663C22semidirect
120. #10622663C22semidirect
122. #10622661C22semidirect
123. #10622660C22semidirect
126. C4×#4326C22semidirect
127. #10622641C22semidirect
128. C4×#4324C22semidirect
129. #10622629C22semidirect
130. D4×C11⋊C8C22semidirect
131. #10622615C22semidirect
132. #10622609C22semidirect
133. C2×#66874C22semidirect
135. #10622504C22semidirect
136. #10622504C22semidirect
137. #10622500C22semidirect
138. #10622486C22semidirect
139. #10622477C22semidirect
140. #10622475C22semidirect
141. #10622470C22semidirect
142. #10622470C22semidirect
143. #10622467C22semidirect
144. #10622465C22semidirect
145. #10622465C22semidirect
146. #10622465C22semidirect
147. #10622458C22semidirect
148. #10622458C22semidirect
149. D11×C4⋊C8C22semidirect
150. #10622443C22semidirect
151. #10622432C22semidirect
152. #10622432C22semidirect
153. #10622431C22semidirect
154. #10622421C22semidirect
155. #10622421C22semidirect
156. #10622419C22semidirect
157. D11×#103C22semidirect
158. #10622411C22semidirect
159. #10622411C22semidirect
160. #10622409C22semidirect
161. #10622409C22semidirect
162. #10622406C22semidirect
163. #10622406C22semidirect
164. #10622405C22semidirect
165. #10622403C22semidirect
166. #10622403C22semidirect
168. #10622400C22semidirect
177. #10622381C22semidirect
182. #10622380C22semidirect
183. #10622380C22semidirect
184. #10622380C22semidirect
185. #10622380C22semidirect
192. #10622351C22semidirect
193. #10622346C22semidirect
194. #10622346C22semidirect
196. (C22⋊D11)⋊C8C22semidirect
197. #10622331C22semidirect
198. #10622331C22semidirect
199. C4×Dic44C22semidirect
200. #10622309C22semidirect
201. #10622298C22semidirect
202. C8×Dic22C22semidirect
717. #3296D11semidirect
790. C22⋊D11#135semidirect
865. #552C2×D11semidirect
915. #483C2×D11semidirect
926. #478C2×D11semidirect
932. #467C2×D11semidirect
975. #452C2×D11semidirect
1001. C4×SD16C2×D11semidirect
1008. C8×D4C2×D11semidirect
1016. #416C2×D11semidirect
1583. C11#61956semidirect

Maximal subgroups

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

subgroupindex
#130825742
#130822302
#130816132
#130815992
#130813152
#130812982
#130805042
#130804972
#130804792
#130804542
#130804252
#130803652
#130803592
#130803552
#130803302
#130803192
#130803102
#130799692
#130799672
#130799462
#130795842
#130795822
#130795702
#130786992
#130786942
#130786292
#130780692
C2×#106223802
D11×#4642
#130777232
C11×#32962
#6195611