Finite Group Databasebeta

← #15647342

Subgroups — #15647342

Order 2816.

1902 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083134C211yesmaximal, characteristic, complemented
2#13082655C211yesmaximal, characteristic, complemented
3#13081686C211yesmaximal, characteristic, complemented
4#13081675C211yesmaximal, characteristic, complemented
5#13081412C211yesmaximal, characteristic, complemented
6#13081403C211yesmaximal, characteristic, complemented
7#13080734C211yesmaximal, characteristic, complemented
8#13080728C211yesmaximal, characteristic, complemented
9#13080578C211yesmaximal, characteristic, complemented
10#13080573C211yesmaximal, characteristic, complemented
11#13080443C211yesmaximal, characteristic, complemented
12#13080436C211yesmaximal, characteristic, complemented
13#13080329C211yesmaximal, characteristic, complemented
14#13080317C211yesmaximal, characteristic, complemented
15#13080141C211yesmaximal, characteristic, complemented
16#13080135C211yesmaximal, characteristic, complemented
17#13080091C211yesmaximal, characteristic, complemented
18#13080090C211yesmaximal, characteristic, complemented
19#13080087C211yesmaximal, characteristic, complemented
20#13080084C211yesmaximal, characteristic, complemented
21#13079930C211yesmaximal, characteristic, complemented
22#13079715C211yesmaximal, characteristic, complemented
23#13079710C211yesmaximal, characteristic, complemented
24#13079617C211yesmaximal, characteristic, complemented
25#13078893C211yesmaximal, characteristic, complemented
26#13078890C211yesmaximal, characteristic, complemented
27#13078706C211yesmaximal, characteristic, complemented
28#13078150C211yesmaximal, characteristic, complemented
29D11×#463C211yesmaximal, characteristic, complemented
30#13077753C211yesmaximal, characteristic, complemented
31C11×#3045C211yesmaximal, characteristic, complemented
32C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C2×C11×#135C2211yescharacteristic, complemented
34C11×#535C2211yescharacteristic, complemented
35C11×#520C2211yescharacteristic, complemented
36#10623362C2211yescharacteristic
37#10623360C2211yescharacteristic, complemented
38#10623360C2211yescharacteristic, complemented
39#10623355C2211yescharacteristic, complemented
40#10623337C2211yescharacteristic, complemented
41D4×C22⋊D11C2211yescharacteristic
42C2×SD16×D11C2211yescharacteristic, complemented
43C2×#66965C2211yescharacteristic, complemented
44C2×#66964C2211yescharacteristic, complemented
45C2×D8×D11C2211yescharacteristic
46#10623248C2211yescharacteristic
47#10623247C2211yescharacteristic
48#10623246C2211yescharacteristic, complemented
49#10623244C2211yescharacteristic, complemented
50#10623213C2211yescharacteristic, complemented
51#10623212C2211yescharacteristic, complemented
52#10623208C2211yescharacteristic
53D11×#124C2211yescharacteristic
54#10623152—21no—
55#10623148—21no—
56#10623144—21no—
57#10623141—21no—
58#10623125—21no—
59#10623124—21no—
60#10623122—21no—
61#10623120—21no—
62#10623113C2211yescharacteristic, complemented
63#10623110C2211yescharacteristic, complemented
64#10623109C2211yescharacteristic, complemented
65#10623099C2211yescharacteristic, complemented
66#10623095—21no—
67#10623087—21no—
68#10623085C2211yescharacteristic, complemented
69#10623083—21no—
70#10623078—21no—
71#10623077C2211yescharacteristic, complemented
72C4×D4×D11C2211yescharacteristic, complemented
73D4×Dic22C2211yescharacteristic, complemented
74#10623065C2211yescharacteristic, complemented
75#10623065C2211yescharacteristic, complemented
76#10623062—21no—
77#10623059C2211yescharacteristic
78#10623058—21no—
79#10623046—21no—
80#10623042C2211yescharacteristic, complemented
81C2×#66949—21no—
82#10623038C2211yescharacteristic, complemented
83C11×#464C2211yescharacteristic, complemented
84C11×#464C2211yescharacteristic, complemented
85C11×#463C2211yescharacteristic, complemented
86C11×#463C2211yescharacteristic, complemented
87C11×#460C2211yescharacteristic, complemented
88C11×#460C2211yescharacteristic, complemented
89C11×#459C2211yescharacteristic
90C11×#459C2211yescharacteristic, complemented
91C11×#424C2211yescharacteristic, complemented
92C11×#417C2211yescharacteristic, complemented
93C2×C11×#102C2211yescharacteristic, complemented
94#10622852C2211yescharacteristic, complemented
95#10622852C2211yescharacteristic, complemented
96#10622851C2211yescharacteristic
97#10622851C2211yescharacteristic, complemented
98#10622831C2211yescharacteristic, complemented
99#10622830C2211yescharacteristic, complemented
100#10622803C2211yescharacteristic, complemented
101#10622802C2211yescharacteristic, complemented
102#10622799C2211yescharacteristic, complemented
103#10622798C2211yescharacteristic, complemented
104#10622789C2211yescharacteristic
105#10622786C2211yescharacteristic, complemented
106#10622786C2211yescharacteristic, complemented
107#10622784C2211yescharacteristic, complemented
108#10622784C2211yescharacteristic, complemented
109#10622784C2211yescharacteristic, complemented
110#10622782C2211yescharacteristic
111#10622782C2211yescharacteristic, complemented
112#10622781C2211yescharacteristic, complemented
113#10622780C2211yescharacteristic, complemented
114#10622778C2211yescharacteristic, complemented
115#10622778C2211yescharacteristic, complemented
116#10622775C2211yescharacteristic, complemented
117#10622775C2211yescharacteristic, complemented
118SD16×Dic11C2211yescharacteristic, complemented
119#10622771C2211yescharacteristic
120#10622769C2211yescharacteristic, complemented
121#10622769C2211yescharacteristic, complemented
122#10622766C2211yescharacteristic, complemented
123#10622766C2211yescharacteristic, complemented
124#10622765C2211yescharacteristic, complemented
125#10622765C2211yescharacteristic, complemented
126#10622765C2211yescharacteristic, complemented
127#10622763C2211yescharacteristic
128#10622750C2211yescharacteristic, complemented
129#10622748C2211yescharacteristic
130#10622740C2211yescharacteristic, complemented
131#10622740C2211yescharacteristic, complemented
132#10622727C2211yescharacteristic, complemented
133#10622727C2211yescharacteristic, complemented
134#10622724C2211yescharacteristic, complemented
135C8×C22⋊D11C2211yescharacteristic, complemented
136#10622688C2211yescharacteristic, complemented
137#10622687C2211yescharacteristic
138#10622685C2211yescharacteristic, complemented
139#10622683C2211yescharacteristic, complemented
140#10622672C2211yescharacteristic, complemented
141#10622670C2211yescharacteristic, complemented
142#10622668C2211yescharacteristic, complemented
143#10622667C2211yescharacteristic, complemented
144#10622643C2211yescharacteristic, complemented
145#10622641C2211yescharacteristic, complemented
146C4×#4325C2211yescharacteristic, complemented
147#10622633C2211yescharacteristic, complemented
148C4×#4324C2211yescharacteristic, complemented
149#10622629C2211yescharacteristic, complemented
150#10622627C2211yescharacteristic, complemented
151#10622621C2211yescharacteristic, complemented
152#10622613C2211yescharacteristic, complemented
153#10622584C2211yescharacteristic, complemented
154#10622581C2211yescharacteristic, complemented
155#10622464C2211yescharacteristic, complemented
156#10622464C2211yescharacteristic, complemented
157#10622458C2211yescharacteristic, complemented
158#10622458C2211yescharacteristic, complemented
159#10622457C2211yescharacteristic, complemented
160#10622457C2211yescharacteristic, complemented
161#10622455C2211yescharacteristic, complemented
162#10622455C2211yescharacteristic, complemented
163#10622453C2211yescharacteristic, complemented
164#10622452C2211yescharacteristic, complemented
165#10622449C2211yescharacteristic, complemented
166#10622448C2211yescharacteristic, complemented
167#10622447C2211yescharacteristic, complemented
168D11×C4⋊C8C2211yescharacteristic, complemented
169#10622444C2211yescharacteristic, complemented
170#10622441C2211yescharacteristic, complemented
171#10622432C2211yescharacteristic, complemented
172#10622421C2211yescharacteristic, complemented
173#10622420C2211yescharacteristic, complemented
174#10622418C2211yescharacteristic, complemented
175D11×#103C2211yescharacteristic, complemented
176#10622408C2211yescharacteristic, complemented
177#10622404C2211yescharacteristic, complemented
178#10622402C2211yescharacteristic, complemented
179#10622400C2211yescharacteristic, complemented
180#10622398C2211yescharacteristic, complemented
181#10622398C2211yescharacteristic, complemented
182#10622395C2211yescharacteristic
183#10622394C2211yescharacteristic, complemented
184#10622391C2211yescharacteristic, complemented
185#10622391C2211yescharacteristic, complemented
186#10622390C2211yescharacteristic, complemented
187#10622390C2211yescharacteristic, complemented
188#10622390C2211yescharacteristic, complemented
189#10622389C2211yescharacteristic
190#10622386C2211yescharacteristic, complemented
191#10622384C2211yescharacteristic, complemented
192D11×#102C2211yescharacteristic
193D11×#102C2211yescharacteristic, complemented
194#10622380C2211yescharacteristic, complemented
195#10622378C2211yescharacteristic, complemented
196#10622378C2211yescharacteristic, complemented
197#10622375C2211yescharacteristic, complemented
198#10622374C2211yescharacteristic, complemented
199#10622374C2211yescharacteristic, complemented
200#10622374C2211yescharacteristic, complemented
201#10622373C2211yescharacteristic, complemented
202#10622371C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C22×D4×C11C2311yescharacteristic
206C22×C22⋊D11—21no—
207C2×Q8×D11C2311yescharacteristic
208C2×#4341—21no—
209C2×#4341C2311yescharacteristic
210C2×#4341C2311yescharacteristic
211C2×D4×D11—21no—
212C2×D4×D11C2311yescharacteristic
213C2×D4×D11C2311yescharacteristic
214C2×D4×D11C2311yescharacteristic
215C2×#4339—21no—
216C22×C4×D11—21no—
217C22×Dic22—21no—
218C11×AGL(1,ℤ/8)—42no—
219C11×#135—42no—
220C2×C11×Q16C2311yescharacteristic
221C2×C11×SD16C2311yescharacteristic
222C2×C11×SD16C2311yescharacteristic
223C2×C11×SD16C2311yescharacteristic
224C2×C11×SD16C2311yescharacteristic
225C2×C11×D8C2311yescharacteristic
226C2×C11×D8C2311yescharacteristic
227C2×C11×D8C2311yescharacteristic
228C2×C11×M16C2311yescharacteristic
229C22×C8×C11C2311yescharacteristic
230C11×#127C2311yescharacteristic
231C11×#127C2311yescharacteristic
232C11×#124C2311yescharacteristic
233C11×#124C2311yescharacteristic
234C11×#121—21no—
235C11×#121—21no—
236C11×#120—21no—
237C11×#120—21no—
238C4×Q8×C11C2311yescharacteristic
239C4×Q8×C11C2311yescharacteristic
240C4×D4×C11—21no—
241C4×D4×C11—21no—
242C4×D4×C11C2311yescharacteristic
243C4×D4×C11C2311yescharacteristic
244C11×#117—21no—
245C11×#117C2311yescharacteristic
246C2×C11×C4⋊C4—21no—
247C2×C11×C4⋊C4C2311yescharacteristic
248#67006—21no—
249#67006—21no—
250C2×C22⋊Dic11—21no—
251#67000C2311yescharacteristic
252#67000C2311yescharacteristic
253#66999C2311yescharacteristic
254#66999C2311yescharacteristic
255#66999C2311yescharacteristic
256Q8×Dic11C2311yescharacteristic
257#66997C2311yescharacteristic
258C2×#4326C2311yescharacteristic
259C2×#4326C2311yescharacteristic
260C2×#4325C2311yescharacteristic
261C2×#4325C2311yescharacteristic
262#66993C2311yescharacteristic
263#66992—21no—
264#66992—21no—
265#66992—21no—
266#66992—21no—
267#66992—21no—
268#66992—21no—
269#66992—21no—
270#66991—21no—
271#66991—21no—
272#66991—21no—
273#66991C2311yescharacteristic
274#66991C2311yescharacteristic
275#66991C2311yescharacteristic
276#66990—21no—
277#66990—21no—
278#66990—21no—
279#66990—21no—
280#66990—21no—
281#66990—21no—
282#66990—21no—
283#66989—21no—
284#66989—21no—
285#66989—21no—
286#66989C2311yescharacteristic
287#66989C2311yescharacteristic
288#66988—21no—
289#66988—21no—
290#66988—21no—
291#66988—21no—
292D4×Dic11—21no—
293D4×Dic11—21no—
294D4×Dic11C2311yescharacteristic
295D4×Dic11C2311yescharacteristic
296D4×Dic11C2311yescharacteristic
297D4×Dic11C2311yescharacteristic
298D4×Dic11C2311yescharacteristic
299C2×#4324C2311yescharacteristic
300C2×#4324C2311yescharacteristic
301C2×#4324C2311yescharacteristic
302C2×#4324C2311yescharacteristic
303C2×#4323C2311yescharacteristic
304C2×#4323C2311yescharacteristic
305C2×#4323C2311yescharacteristic
306C2×#4323C2311yescharacteristic
307#66983—21no—
308#66983C2311yescharacteristic
309#66983C2311yescharacteristic
310#66982—21no—
311#66982—21no—
312#66982—21no—
313#66982—21no—
314C4×C22⋊D11—21no—
315C4×C22⋊D11—21no—
316C4×C22⋊D11—21no—
317C4×C22⋊D11—21no—
318C4×C22⋊D11C2311yescharacteristic
319C4×C22⋊D11C2311yescharacteristic
320C2×(C2×D11)⋊C4—21no—
321C2×(C2×D11)⋊C4—21no—
322C2×(C2×D11)⋊C4—21no—
323#66977—21no—
324#66977—21no—
325#66977—21no—
326#66977C2311yescharacteristic
327#66977C2311yescharacteristic
328C2×Dic11⋊C4—21no—
329C2×Dic11⋊C4—21no—
330SD16×D11—42no—
331#66965—42no—
332#66964—42no—
333D8×D11—42no—
334C2×Dic44C2311yescharacteristic
335C2×D88C2311yescharacteristic
336C2×#4314C2311yescharacteristic
337C2×#4314C2311yescharacteristic
338C2×#4313C2311yescharacteristic
339C2×C8×D11C2311yescharacteristic
340C2×C8×D11C2311yescharacteristic
341C2×C8×D11C2311yescharacteristic
342#66951—21no—
343#66951—21no—
344#66951—21no—
345#66951D411yescharacteristic
346#66950C2311yescharacteristic
347#66949—21no—
348#66949—21no—
349#66949—21no—
350#66949—21no—
351#66949—21no—
352#66949—21no—
353#66949—21no—
354#66949—21no—
355#66949—21no—
356#66949D411yescharacteristic
357#66948C2311yescharacteristic
358#66947—21no—
359#66947—21no—
360#66947D411yescharacteristic
361#66946C2311yescharacteristic
362C4⋊C4×D11C2311yescharacteristic
363C4⋊C4×D11C2311yescharacteristic
364#66942—21no—
365#66942—21no—
366#66942D411yescharacteristic
367#66941C2311yescharacteristic
368#66941C2311yescharacteristic
369#66940C2311yescharacteristic
370#66939—21no—
371#66939—21no—
372#66939—21no—
373#66938—21no—
374#66938—21no—
375#66938—21no—
376#66938—21no—
377#66938—21no—
378#66938—21no—
379#66938—21no—
380#66938D411yescharacteristic
381#66937—21no—
382#66937D411yescharacteristic
383#66936—21no—
384#66936—21no—
385#66936—21no—
386#66936D411yescharacteristic
387#66935—21no—
388(C22⋊D11)⋊C4—21no—
389(C22⋊D11)⋊C4—21no—
390(C22⋊D11)⋊C4—21no—
391(C22⋊D11)⋊C4—21no—
392C22⋊C4×D11—21no—
393C22⋊C4×D11—21no—
394C22⋊C4×D11—21no—
395#66932—21no—
396#66932D411yescharacteristic
397#66931—21no—
398#66931—21no—
399#66931—21no—
400#66931—21no—
401#66930—21no—
402#66929—21no—
403#66929—21no—
404#66928—21no—
405#66928C2311yescharacteristic
406#66928C2311yescharacteristic
407C4×D44—21no—
408C4×D44C2311yescharacteristic
409C4×D44C2311yescharacteristic
410C4×D44C2311yescharacteristic
411#66925—21no—
412#66925—21no—
413#66925C2311yescharacteristic
414C42×D11C2311yescharacteristic
415#66923—21no—
416#66922C2311yescharacteristic
417#66922C2311yescharacteristic
418C4×Dic22—21no—
419C4×Dic22C2311yescharacteristic
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×C4⋊C8C2311yescharacteristic
424C11×C4⋊C8C2311yescharacteristic
425C11×C4⋊C8C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#103C2311yescharacteristic
428C11×#102C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×#102C2311yescharacteristic
434#66899C2311yescharacteristic
435#66899C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66896C2311yescharacteristic
439#66896C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446C22⋊(C11⋊C8)C2311yescharacteristic
447C22⋊(C11⋊C8)C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451#66885C2311yescharacteristic
452(C2×D11)⋊C8C2311yescharacteristic
453(C2×D11)⋊C8C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456#66881C2311yescharacteristic
457#66881C2311yescharacteristic
458#66881C2311yescharacteristic
459#66881C2311yescharacteristic
460#66880C2311yescharacteristic
461#66880C2311yescharacteristic
462#66880C2311yescharacteristic
463#66880C2311yescharacteristic
464#66879C2311yescharacteristic
465#66879C2311yescharacteristic
466#66879C2311yescharacteristic
467Dic11⋊C8C2311yescharacteristic
468Dic11⋊C8C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470Dic11⋊C8C2311yescharacteristic
471C8×Dic11C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66872C2311yescharacteristic
477#66872C2311yescharacteristic
478#66872C2311yescharacteristic
479#66872C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481C4⋊(C11⋊C8)C2311yescharacteristic
482#66867C2311yescharacteristic
483C4×C11⋊C8C2311yescharacteristic
484#62018—111nomaximal, Sylow
485C24×C11—21no—
486C23×D11—21no—
487C23×D11—21no—
488C23×D11—21no—
489C11×#41—22no—
490C11×#41—41no—
491C11×#41—41no—
492C11×#41—41no—
493C2×Q8×C11C2411yescharacteristic
494C2×Q8×C11C2411yescharacteristic
495C2×D4×C11—21no—
496C2×D4×C11—21no—
497C2×D4×C11—21no—
498C2×D4×C11—21no—
499C2×D4×C11—21no—
500C2×D4×C11—21no—
501C2×D4×C11—21no—
502C2×D4×C11—41no—
503C2×D4×C11—41no—
504C2×D4×C11C2411yescharacteristic
505C2×D4×C11C2411yescharacteristic
506C2×D4×C11C2411yescharacteristic
507C2×D4×C11C2411yescharacteristic
508C22×C4×C11—21no—
509C22×C4×C11—21no—
510C22×C4×C11—21no—
511C22×C4×C11—21no—
512C22×C4×C11—21no—
513C22×C4×C11C2411yescharacteristic
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11—82no—
527C2×C22⋊D11C2×D411yescharacteristic
528C2×C22⋊D11C2×D411yescharacteristic
529C22×Dic11—21no—
530C22×Dic11—21no—
531C22×Dic11—21no—
532C22×Dic11—21no—
533C22×Dic11—21no—
534C22×Dic11—21no—
535C22×Dic11—21no—
536Q8×D11—41no—
537Q8×D11—41no—
538#4341—22no—
539#4341—41no—
540#4341—41no—
541#4341—41no—
542#4341—82no—
543D4×D11—22no—
544D4×D11—41no—
545D4×D11—41no—
546D4×D11—41no—
547D4×D11—41no—
548D4×D11—41no—
549D4×D11—82no—
550#4339—82no—
551C2×D44—21no—
552C2×D44C2×D411yescharacteristic
553C2×D44C2411yescharacteristic
554C2×D44C2411yescharacteristic
555C2×C4×D11—21no—
556C2×C4×D11—21no—
557C2×C4×D11—21no—
558C2×C4×D11—21no—
559C2×C4×D11—21no—
560C2×C4×D11—21no—
561C2×C4×D11—82no—
562C2×C4×D11C2×D411yescharacteristic
563C2×C4×D11C2×D411yescharacteristic
564C2×C4×D11C2411yescharacteristic
565C2×C4×D11C2411yescharacteristic
566C2×Dic22—21no—
567C2×Dic22—21no—
568C2×Dic22—21no—
569C2×Dic22—21no—
570C2×Dic22—21no—
571C2×Dic22—82no—
572C2×Dic22C2×D411yescharacteristic
573C2×Dic22C2411yescharacteristic
574C2×Dic22C2411yescharacteristic
575C11×Q16—41no—
576C11×SD16—22no—
577C11×SD16—41no—
578C11×SD16—41no—
579C11×SD16—41no—
580C11×D8—22no—
581C11×D8—22no—
582C11×D8—22no—
583C11×M16—41no—
584C2×C8×C11—41no—
585C2×C8×C11C2411yescharacteristic
586C2×C8×C11C2411yescharacteristic
587C2×C8×C11C2411yescharacteristic
588C2×C8×C11C2411yescharacteristic
589C11×C4⋊C4—21no—
590C11×C4⋊C4—21no—
591C11×C4⋊C4—21no—
592C11×C4⋊C4C2×D411yescharacteristic
593C11×C4⋊C4C2×D411yescharacteristic
594C11×C4⋊C4C2411yescharacteristic
595C11×C4⋊C4C2411yescharacteristic
596C11×C22⋊C4—21no—
597C11×C22⋊C4—21no—
598C11×C22⋊C4—21no—
599C11×C22⋊C4—21no—
600C11×C22⋊C4—21no—
601C11×C22⋊C4—21no—
602C11×C22⋊C4C2×D411yescharacteristic
603C11×C22⋊C4C2×D411yescharacteristic
604C42×C11—21no—
605C42×C11—21no—
606C42×C11C2411yescharacteristic
607C42×C11C2411yescharacteristic
608C22⋊Dic11—21no—
609C22⋊Dic11—21no—
610C22⋊Dic11—21no—
611C22⋊Dic11—21no—
612C22⋊Dic11—21no—
613C22⋊Dic11—21no—
614C22⋊Dic11—21no—
615C22⋊Dic11—21no—
616C22⋊Dic11—21no—
617C22⋊Dic11—21no—
618C22⋊Dic11—21no—
619C22⋊Dic11—21no—
620C22⋊Dic11—21no—
621C22⋊Dic11—21no—
622C22⋊Dic11C2×D411yescharacteristic
623C22⋊Dic11C2×D411yescharacteristic
624#4326—41no—
625#4326—41no—
626#4325—41no—
627#4325—41no—
628#4324—22no—
629#4324—41no—
630#4324—41no—
631#4324—41no—
632#4323—22no—
633#4323—41no—
634#4323—41no—
635#4323—41no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4—21no—
638(C2×D11)⋊C4—21no—
639(C2×D11)⋊C4—21no—
640(C2×D11)⋊C4—21no—
641(C2×D11)⋊C4—21no—
642(C2×D11)⋊C4—21no—
643(C2×D11)⋊C4—21no—
644(C2×D11)⋊C4—21no—
645(C2×D11)⋊C4—21no—
646(C2×D11)⋊C4—21no—
647(C2×D11)⋊C4—21no—
648(C2×D11)⋊C4—21no—
649(C2×D11)⋊C4—21no—
650(C2×D11)⋊C4—21no—
651(C2×D11)⋊C4—21no—
652(C2×D11)⋊C4—21no—
653(C2×D11)⋊C4—21no—
654(C2×D11)⋊C4C2×D411yescharacteristic
655(C2×D11)⋊C4C2×D411yescharacteristic
656(C2×D11)⋊C4C2×D411yescharacteristic
657(C2×D11)⋊C4C2×D411yescharacteristic
658(C2×D11)⋊C4C2×D411yescharacteristic
659(C2×D11)⋊C4C2×D411yescharacteristic
660C4⋊Dic11—21no—
661C4⋊Dic11—21no—
662C4⋊Dic11—21no—
663C4⋊Dic11—21no—
664C4⋊Dic11C2×D411yescharacteristic
665C4⋊Dic11C2×D411yescharacteristic
666C4⋊Dic11C2411yescharacteristic
667C4⋊Dic11C2411yescharacteristic
668C4⋊Dic11C2411yescharacteristic
669C4⋊Dic11C2411yescharacteristic
670Dic11⋊C4—21no—
671Dic11⋊C4—21no—
672Dic11⋊C4—21no—
673Dic11⋊C4—21no—
674Dic11⋊C4—21no—
675Dic11⋊C4—21no—
676Dic11⋊C4—21no—
677Dic11⋊C4—21no—
678Dic11⋊C4—21no—
679Dic11⋊C4—21no—
680Dic11⋊C4—21no—
681Dic11⋊C4—21no—
682Dic11⋊C4—21no—
683Dic11⋊C4—21no—
684Dic11⋊C4C2×D411yescharacteristic
685Dic11⋊C4C2×D411yescharacteristic
686Dic11⋊C4C2×D411yescharacteristic
687Dic11⋊C4C2×D411yescharacteristic
688Dic11⋊C4C2×D411yescharacteristic
689Dic11⋊C4C2×D411yescharacteristic
690C4×Dic11—21no—
691C4×Dic11—21no—
692C4×Dic11—21no—
693C4×Dic11—21no—
694C4×Dic11C2×D411yescharacteristic
695C4×Dic11C2×D411yescharacteristic
696C4×Dic11C2411yescharacteristic
697C4×Dic11C2411yescharacteristic
698C2×C11⋊C8C2411yescharacteristic
699C2×C11⋊C8C2411yescharacteristic
700C2×C11⋊C8C2411yescharacteristic
701C2×C11⋊C8C2411yescharacteristic
702Dic44—41no—
703D88—41no—
704#4314—41no—
705#4314—41no—
706#4313—41no—
707C8×D11—41no—
708C8×D11—41no—
709C8×D11—41no—
710#3558—111no—
711#3520—111no—
712#3401—111no—
713#3401—111no—
714#3373—111no—
715#3373—111no—
716#3316—111no—
717#3316—111no—
718#3306—111no—
719#3306—111no—
720#3295—111no—
721#3295—111no—
722#3282—111no—
723#3282—111no—
724#3267—111no—
725#3267—111no—
726#3264—111no—
727#3264—111no—
728#3263—111no—
729#3263—111no—
730#3246—111no—
731#3224—111no—
732#3224—111no—
733#3215—111no—
734#3125—111no—
735#3125—111no—
736#3109—111no—
737#3045—111no—
738#3045D1111yescharacteristic, complemented
739C2×#463—111no—
740#2992—111no—
741C23×C11—21no—
742C23×C11—21no—
743C23×C11—21no—
744C23×C11—21no—
745C23×C11—81no—
746C23×C11—81no—
747C23×C11—81no—
748C23×C11C22×D411yescharacteristic
749C22×D11—21no—
750C22×D11—21no—
751C22×D11—42no—
752C22×D11—42no—
753C22×D11—42no—
754C22×D11—81no—
755C22×D11—81no—
756C22×D11—81no—
757C22×D11—81no—
758C22×D11—81no—
759C22×D11—81no—
760C22×D11C22×D411yescharacteristic
761C22×D11C22×D411yescharacteristic
762Q8×C11—21no—
763Q8×C11—21no—
764Q8×C11—21no—
765Q8×C11—21no—
766D4×C11—21no—
767D4×C11—21no—
768D4×C11—21no—
769D4×C11—21no—
770D4×C11—21no—
771D4×C11—21no—
772D4×C11—21no—
773D4×C11—42no—
774D4×C11—81no—
775D4×C11—81no—
776D4×C11—81no—
777D4×C11—81no—
778D4×C11—81no—
779D4×C11—81no—
780D4×C11H(5,𝔽2)12yes—
781C2×C4×C11—21no—
782C2×C4×C11—21no—
783C2×C4×C11—21no—
784C2×C4×C11—21no—
785C2×C4×C11—21no—
786C2×C4×C11—21no—
787C2×C4×C11—42no—
788C2×C4×C11—81no—
789C2×C4×C11—81no—
790C2×C4×C11—81no—
791C2×C4×C11—81no—
792C2×C4×C11C22×D411yescharacteristic
793C2×C4×C11C22×D411yescharacteristic
794C2×C4×C11C22×D411yescharacteristic
795C2×C4×C11C22×D411yescharacteristic
796C2×C4×C11C22×D411yescharacteristic
797C2×C4×C11C2511yescharacteristic
798C22⋊D11—22no—
799C22⋊D11—41no—
800C22⋊D11—42no—
801C22⋊D11—42no—
802C22⋊D11—42no—
803C22⋊D11—42no—
804C22⋊D11—81no—
805C22⋊D11—81no—
806C22⋊D11—81no—
807C22⋊D11—81no—
808C22⋊D11—81no—
809C22⋊D11—81no—
810C22⋊D11—81no—
811C22⋊D11—81no—
812C2×Dic11—21no—
813C2×Dic11—21no—
814C2×Dic11—21no—
815C2×Dic11—21no—
816C2×Dic11—21no—
817C2×Dic11—21no—
818C2×Dic11—42no—
819C2×Dic11—42no—
820C2×Dic11—81no—
821C2×Dic11—81no—
822C2×Dic11—81no—
823C2×Dic11—81no—
824C2×Dic11—81no—
825C2×Dic11C22×D411yescharacteristic
826C2×Dic11C22×D411yescharacteristic
827C2×Dic11C22×D411yescharacteristic
828C2×Dic11C22×D411yescharacteristic
829C2×Dic11C22×D411yescharacteristic
830C2×Dic11C22×D411yescharacteristic
831D44—22no—
832D44—21no—
833D44—21no—
834D44—21no—
835D44—21no—
836D44—81no—
837C4×D11—22no—
838C4×D11—21no—
839C4×D11—21no—
840C4×D11—21no—
841C4×D11—21no—
842C4×D11—41no—
843C4×D11—42no—
844C4×D11—81no—
845C4×D11—81no—
846C4×D11—81no—
847C4×D11—81no—
848C4×D11—81no—
849Dic22—21no—
850Dic22—21no—
851Dic22—21no—
852Dic22—21no—
853Dic22—41no—
854Dic22—42no—
855Dic22—81no—
856Dic22—81no—
857Dic22—81no—
858Dic22—81no—
859C8×C11—21no—
860C8×C11—21no—
861C8×C11—21no—
862C8×C11—21no—
863C11⋊C8—21no—
864C11⋊C8—21no—
865C11⋊C8—21no—
866C11⋊C8—21no—
867C2×AGL(1,ℤ/8)—111no—
868C2×AGL(1,ℤ/8)C2×D1111yescharacteristic, complemented
869C2×#135—111no—
870C2×#135C2×D1111yescharacteristic, complemented
871C22×SD16—111no—
872C22×D8—111no—
873#562—221no—
874H(3,𝔽4)—221no—
875#559—111no—
876#559—111no—
877#556—111no—
878#554—111no—
879#554—111no—
880#552—221no—
881#551—221no—
882#551—221no—
883D4×Q8—111no—
884#548—111no—
885#548—111no—
886#548—221no—
887#547—111no—
888#547—111no—
889#546—111no—
890#546—111no—
891#546—111no—
892#546—111no—
893#546—221no—
894#546—221no—
895D42—111no—
896D42—111no—
897#542—111no—
898#542—111no—
899#542—111no—
900#542—111no—
901#539—221no—
902#539—221no—
903#538—221no—
904#538—221no—
905#538—221no—
906#535—111no—
907#535C2×D1111yescharacteristic, complemented
908#534—221no—
909#533—111no—
910#532—111no—
911#529—111no—
912C2×#124—111no—
913#525—221no—
914C2×C22⋊Q8—221no—
915#520—111no—
916#520C2×D1111yescharacteristic, complemented
917C2×C4×D4—111no—
918#497—111no—
919#497—111no—
920#496—111no—
921#496—111no—
922#495—111no—
923#495—111no—
924#489—111no—
925#489—111no—
926#489—111no—
927#489—111no—
928#486—111no—
929#486—111no—
930#483—111no—
931#483—111no—
932#481—111no—
933#481—111no—
934#481—111no—
935#481—111no—
936#476—111no—
937#476—111no—
938#476—111no—
939#476—111no—
940#476—111no—
941#476—111no—
942#475—111no—
943#475—111no—
944#475—111no—
945#475—111no—
946#470—111no—
947#470—111no—
948#469—111no—
949#469—111no—
950#465—111no—
951#465—111no—
952#465—111no—
953#465—111no—
954#465—111no—
955#465—111no—
956#465—111no—
957#465—111no—
958#464—111no—
959#464—111no—
960#464—111no—
961#464—111no—
962#464—111no—
963#464—111no—
964#464C2×D1111yescharacteristic, complemented
965#464C2×D1111yescharacteristic, complemented
966#463—111no—
967#463—111no—
968#463—111no—
969#463—111no—
970#463—111no—
971#463—111no—
972#463—111no—
973#463—111no—
974#463—111no—
975#463—111no—
976#463C2×D1111yescharacteristic, complemented
977#463C2×D1111yescharacteristic, complemented
978#461—111no—
979#461—111no—
980#460—111no—
981#460—111no—
982#460C2×D1111yescharacteristic, complemented
983#460C2×D1111yescharacteristic, complemented
984#459—111no—
985#459—111no—
986#459C2×D1111yescharacteristic
987#459C2×D1111yescharacteristic, complemented
988#452—111no—
989#452—111no—
990#452—111no—
991#452—111no—
992#451—111no—
993#451—111no—
994#450—111no—
995#450—111no—
996#450—111no—
997#450—111no—
998#449—111no—
999#449—111no—
1000#449—111no—
1001#449—111no—
1002#447—111no—
1003#447—111no—
1004#447—111no—
1005#447—111no—
1006#446—111no—
1007#446—111no—
1008#442—111no—
1009#442—111no—
1010#442—111no—
1011#442—111no—
1012#442—111no—
1013#442—111no—
1014#441—111no—
1015#441—111no—
1016C4×SD16—111no—
1017C4×SD16—111no—
1018C4×SD16—111no—
1019C4×SD16—111no—
1020#435—111no—
1021#435—111no—
1022#435—111no—
1023#435—111no—
1024C8×D4—111no—
1025C8×D4—111no—
1026#433—111no—
1027#433—111no—
1028#432—111no—
1029#424—111no—
1030#424C2×D1111yescharacteristic, complemented
1031C2×C4⋊C8—111no—
1032#417—111no—
1033#417C2×D1111yescharacteristic, complemented
1034C2×#103—111no—
1035C2×#102—111no—
1036C2×#102—111no—
1037C2×#102C2×D1111yescharacteristic, complemented
1038C22×C11—21no—
1039C22×C11—21no—
1040C22×C11—22no—
1041C22×C11—21no—
1042C22×C11—41no—
1043C22×C11—41no—
1044C22×C11—41no—
1045C22×C11—41no—
1046C22×C11—41no—
1047C22×C11—41no—
1048C22×C11—41no—
1049C22×C11—41no—
1050C22×C11—41no—
1051C22×C11—41no—
1052C22×C11—41no—
1053C22×C11—162no—
1054C22×C11C23×D411yescharacteristic
1055C2×D11—21no—
1056C2×D11—21no—
1057C2×D11—21no—
1058C2×D11—21no—
1059C2×D11—21no—
1060C2×D11—41no—
1061C2×D11—41no—
1062C2×D11—41no—
1063C2×D11—41no—
1064C2×D11—41no—
1065C2×D11—41no—
1066C2×D11—84no—
1067C2×D11—162no—
1068C2×D11—162no—
1069C2×D11#57712yes—
1070C4×C11—21no—
1071C4×C11—21no—
1072C4×C11—21no—
1073C4×C11—21no—
1074C4×C11—21no—
1075C4×C11—41no—
1076C4×C11—41no—
1077C4×C11—41no—
1078C4×C11—41no—
1079C4×C11C2×H(5,𝔽2)11yescharacteristic
1080C4×C11#58511yescharacteristic
1081Dic11—21no—
1082Dic11—21no—
1083Dic11—21no—
1084Dic11—21no—
1085Dic11—21no—
1086Dic11—21no—
1087Dic11—41no—
1088Dic11—41no—
1089Dic11—41no—
1090Dic11—41no—
1091Dic11—41no—
1092Dic11—41no—
1093C2×#41—111no—
1094C2×#41—111no—
1095C2×#41—221no—
1096C2×#41—221no—
1097C2×#41C22×D1111yescharacteristic
1098C2×#41C22×D1111yescharacteristic
1099C22×Q8—111no—
1100C22×Q8—221no—
1101C22×D4—111no—
1102C22×D4—111no—
1103C22×D4—111no—
1104C22×D4—221no—
1105C22×D4—221no—
1106C22×D4C22×D1111yescharacteristic
1107C23×C4—221no—
1108AGL(1,ℤ/8)—42no—
1109AGL(1,ℤ/8)—442no—
1110#135—42no—
1111#135—442no—
1112C2×Q16—111no—
1113C2×Q16—111no—
1114C2×Q16—111no—
1115C2×Q16C22×D1111yescharacteristic
1116C2×SD16—111no—
1117C2×SD16—111no—
1118C2×SD16—111no—
1119C2×SD16—111no—
1120C2×SD16—111no—
1121C2×SD16—111no—
1122C2×SD16—111no—
1123C2×SD16—111no—
1124C2×SD16—442no—
1125C2×SD16C22×D1111yescharacteristic
1126C2×SD16C22×D1111yescharacteristic
1127C2×SD16C22×D1111yescharacteristic
1128C2×SD16C22×D1111yescharacteristic
1129C2×D8—111no—
1130C2×D8—111no—
1131C2×D8—111no—
1132C2×D8—111no—
1133C2×D8—111no—
1134C2×D8—442no—
1135C2×D8C22×D1111yescharacteristic
1136C2×D8C22×D1111yescharacteristic
1137C2×D8C22×D1111yescharacteristic
1138C2×M16—111no—
1139C2×M16C22×D1111yescharacteristic
1140C22×C8—111no—
1141C22×C8—111no—
1142C22×C8—111no—
1143C22×C8C22×D1111yescharacteristic
1144C4⋊Q8—111no—
1145C4⋊Q8—111no—
1146C4⋊Q8—111no—
1147C4⋊Q8—111no—
1148C4⋊Q8—111no—
1149#127—111no—
1150#127C22×D1111yescharacteristic
1151#127C22×D1111yescharacteristic
1152#126—111no—
1153#126—111no—
1154#126—221no—
1155#126—221no—
1156#126—221no—
1157#126—221no—
1158#126—221no—
1159#126—221no—
1160#125—111no—
1161#125—221no—
1162#125—221no—
1163#125—221no—
1164#124—111no—
1165#124—111no—
1166#124—111no—
1167#124—111no—
1168#124—111no—
1169#124—111no—
1170#124—111no—
1171#124—221no—
1172#124—221no—
1173#124—221no—
1174#124—221no—
1175#124—221no—
1176#124—221no—
1177#124—221no—
1178#124—221no—
1179#124—221no—
1180#124—221no—
1181#124—221no—
1182#124C22×D1111yescharacteristic
1183#124C22×D1111yescharacteristic
1184#123—111no—
1185#123—111no—
1186#123—221no—
1187#123—221no—
1188#123—221no—
1189#123—221no—
1190#123—221no—
1191#123—221no—
1192#123—221no—
1193#123—221no—
1194#123—221no—
1195#123—221no—
1196#123—221no—
1197#123—221no—
1198#123—221no—
1199#123—221no—
1200#123—221no—
1201#123—221no—
1202C22⋊Q8—111no—
1203C22⋊Q8—111no—
1204C22⋊Q8—111no—
1205C22⋊Q8—111no—
1206C22⋊Q8—111no—
1207C22⋊Q8—111no—
1208C22⋊Q8—111no—
1209C22⋊Q8—221no—
1210C22⋊Q8—221no—
1211C22⋊Q8—221no—
1212C22⋊Q8—221no—
1213C22⋊Q8—221no—
1214C22⋊Q8—221no—
1215C22⋊Q8—221no—
1216C22⋊Q8—221no—
1217C22⋊Q8—221no—
1218C22⋊Q8—221no—
1219C22⋊Q8—221no—
1220C22⋊Q8—221no—
1221C22⋊Q8—221no—
1222C22⋊Q8—221no—
1223C22⋊Q8—221no—
1224C22⋊Q8—221no—
1225#121—21no—
1226#121—21no—
1227#121—111no—
1228#121—111no—
1229#121—111no—
1230#121—111no—
1231#121—111no—
1232#121—111no—
1233#121—111no—
1234#121—221no—
1235#121—221no—
1236#121—221no—
1237#121—221no—
1238#121—221no—
1239#121—221no—
1240#121—221no—
1241#121—221no—
1242#121—221no—
1243#121—221no—
1244#121—221no—
1245#121—221no—
1246#120—21no—
1247#120—21no—
1248#120—221no—
1249#120—221no—
1250#120—221no—
1251#120—221no—
1252#120—221no—
1253#120—221no—
1254#120—221no—
1255#120—221no—
1256#120—221no—
1257#120—221no—
1258C4×Q8—111no—
1259C4×Q8—111no—
1260C4×Q8—111no—
1261C4×Q8—111no—
1262C4×Q8—111no—
1263C4×Q8—221no—
1264C4×Q8C22×D1111yescharacteristic
1265C4×Q8C22×D1111yescharacteristic
1266C4×D4—21no—
1267C4×D4—21no—
1268C4×D4—111no—
1269C4×D4—111no—
1270C4×D4—111no—
1271C4×D4—111no—
1272C4×D4—111no—
1273C4×D4—111no—
1274C4×D4—111no—
1275C4×D4—111no—
1276C4×D4—111no—
1277C4×D4—111no—
1278C4×D4—111no—
1279C4×D4—221no—
1280C4×D4—221no—
1281C4×D4—221no—
1282C4×D4—221no—
1283C4×D4—221no—
1284C4×D4—221no—
1285C4×D4—221no—
1286C4×D4—221no—
1287C4×D4—221no—
1288C4×D4—221no—
1289C4×D4—221no—
1290C4×D4C22×D1111yescharacteristic
1291C4×D4C22×D1111yescharacteristic
1292#117—21no—
1293#117—111no—
1294#117—221no—
1295#117—221no—
1296#117—221no—
1297#117C22×D1111yescharacteristic
1298C2×C4⋊C4—21no—
1299C2×C4⋊C4—111no—
1300C2×C4⋊C4—111no—
1301C2×C4⋊C4—221no—
1302C2×C4⋊C4—221no—
1303C2×C4⋊C4C22×D1111yescharacteristic
1304C2×C22⋊C4—221no—
1305C2×C22⋊C4—221no—
1306C2×C22⋊C4—221no—
1307C2×C22⋊C4—221no—
1308C2×C22⋊C4—221no—
1309C2×C22⋊C4—221no—
1310C2×C22⋊C4—221no—
1311C2×C42—111no—
1312#106—111no—
1313#106—111no—
1314#106—111no—
1315#106—111no—
1316#106—111no—
1317#106—111no—
1318#106—111no—
1319#106—111no—
1320C4⋊C8—111no—
1321C4⋊C8—111no—
1322C4⋊C8—111no—
1323C4⋊C8—111no—
1324C4⋊C8—111no—
1325C4⋊C8—111no—
1326C4⋊C8C22×D1111yescharacteristic
1327C4⋊C8C22×D1111yescharacteristic
1328C4⋊C8C22×D1111yescharacteristic
1329C4⋊C8C22×D1111yescharacteristic
1330#103—111no—
1331#103—111no—
1332#103—111no—
1333#103—111no—
1334#103—111no—
1335#103—111no—
1336#103—111no—
1337#103—111no—
1338#103—111no—
1339#103—111no—
1340#103C22×D1111yescharacteristic
1341#103C22×D1111yescharacteristic
1342#102—111no—
1343#102—111no—
1344#102—111no—
1345#102—111no—
1346#102—111no—
1347#102—111no—
1348#102—111no—
1349#102—111no—
1350#102—111no—
1351#102—111no—
1352#102—111no—
1353#102—111no—
1354#102—111no—
1355#102—111no—
1356#102C22×D1111yescharacteristic
1357#102C22×D1111yescharacteristic
1358#102C22×D1111yescharacteristic
1359#102C22×D1111yescharacteristic
1360#102C22×D1111yescharacteristic
1361#102C22×D1111yescharacteristic
1362C22⋊C8—111no—
1363C22⋊C8—111no—
1364C22⋊C8—111no—
1365C22⋊C8—111no—
1366C22⋊C8—111no—
1367C22⋊C8—111no—
1368#97—111no—
1369#97—111no—
1370#97—111no—
1371#97—111no—
1372C4×C8—111no—
1373C4×C8—111no—
1374C2×C11—42no—
1375C2×C11—41no—
1376C2×C11—81no—
1377C2×C11—81no—
1378C2×C11—81no—
1379C2×C11#348811yescharacteristic
1380C2×C11C2×#57711yescharacteristic
1381C2×C11#358511yescharacteristic
1382D11—22no—
1383D11—41no—
1384D11—81no—
1385D11—81no—
1386C24—21no—
1387C24—221no—
1388C24—221no—
1389C24—221no—
1390#41—22no—
1391#41—41no—
1392#41—41no—
1393#41—41no—
1394#41—222no—
1395#41—441no—
1396#41—441no—
1397#41—441no—
1398#41—882no—
1399#41—882no—
1400C2×Q8—111no—
1401C2×Q8—111no—
1402C2×Q8—111no—
1403C2×Q8—221no—
1404C2×Q8—221no—
1405C2×Q8—221no—
1406C2×Q8—221no—
1407C2×Q8—221no—
1408C2×Q8—441no—
1409C2×Q8—441no—
1410C2×Q8—882no—
1411C2×Q8C23×D1111yescharacteristic
1412C2×Q8C23×D1111yescharacteristic
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—41no—
1421C2×D4—41no—
1422C2×D4—111no—
1423C2×D4—111no—
1424C2×D4—111no—
1425C2×D4—111no—
1426C2×D4—111no—
1427C2×D4—221no—
1428C2×D4—221no—
1429C2×D4—221no—
1430C2×D4—221no—
1431C2×D4—221no—
1432C2×D4—221no—
1433C2×D4—222no—
1434C2×D4—221no—
1435C2×D4—221no—
1436C2×D4—221no—
1437C2×D4—221no—
1438C2×D4—221no—
1439C2×D4—221no—
1440C2×D4—221no—
1441C2×D4—441no—
1442C2×D4—441no—
1443C2×D4—441no—
1444C2×D4—441no—
1445C2×D4—441no—
1446C2×D4—882no—
1447C2×D4—882no—
1448C2×D4C23×D1111yescharacteristic
1449C2×D4C23×D1111yescharacteristic
1450C2×D4C23×D1111yescharacteristic
1451C2×D4C23×D1111yescharacteristic
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—111no—
1458C22×C4—111no—
1459C22×C4—111no—
1460C22×C4—111no—
1461C22×C4—221no—
1462C22×C4—221no—
1463C22×C4—221no—
1464C22×C4—221no—
1465C22×C4—221no—
1466C22×C4—221no—
1467C22×C4—221no—
1468C22×C4—221no—
1469C22×C4—221no—
1470C22×C4—221no—
1471C22×C4—221no—
1472C22×C4—221no—
1473C22×C4—221no—
1474C22×C4—882no—
1475C22×C4C23×D1111yescharacteristic
1476Q16—41no—
1477Q16—441no—
1478Q16—441no—
1479Q16—441no—
1480SD16—22no—
1481SD16—41no—
1482SD16—41no—
1483SD16—41no—
1484SD16—222no—
1485SD16—441no—
1486SD16—441no—
1487SD16—441no—
1488SD16—441no—
1489SD16—441no—
1490SD16—441no—
1491SD16—441no—
1492D8—22no—
1493D8—22no—
1494D8—22no—
1495D8—222no—
1496D8—441no—
1497D8—441no—
1498D8—441no—
1499D8—441no—
1500M16—41no—
1501M16—441no—
1502C2×C8—41no—
1503C2×C8—111no—
1504C2×C8—111no—
1505C2×C8—111no—
1506C2×C8—111no—
1507C2×C8—441no—
1508C2×C8—441no—
1509C2×C8—441no—
1510C2×C8C23×D1111yescharacteristic
1511C2×C8C23×D1111yescharacteristic
1512C2×C8C23×D1111yescharacteristic
1513C2×C8C23×D1111yescharacteristic
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—111no—
1518C4⋊C4—111no—
1519C4⋊C4—111no—
1520C4⋊C4—111no—
1521C4⋊C4—111no—
1522C4⋊C4—111no—
1523C4⋊C4—111no—
1524C4⋊C4—111no—
1525C4⋊C4—111no—
1526C4⋊C4—111no—
1527C4⋊C4—111no—
1528C4⋊C4—111no—
1529C4⋊C4—221no—
1530C4⋊C4—221no—
1531C4⋊C4—221no—
1532C4⋊C4—221no—
1533C4⋊C4—221no—
1534C4⋊C4—221no—
1535C4⋊C4—221no—
1536C4⋊C4—221no—
1537C4⋊C4—221no—
1538C4⋊C4—221no—
1539C4⋊C4—221no—
1540C4⋊C4—221no—
1541C4⋊C4—221no—
1542C4⋊C4—221no—
1543C4⋊C4—221no—
1544C4⋊C4—221no—
1545C4⋊C4—221no—
1546C4⋊C4—221no—
1547C4⋊C4D4×D1111yescharacteristic
1548C4⋊C4D4×D1111yescharacteristic
1549C4⋊C4C23×D1111yescharacteristic
1550C4⋊C4C23×D1111yescharacteristic
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—111no—
1558C22⋊C4—111no—
1559C22⋊C4—111no—
1560C22⋊C4—111no—
1561C22⋊C4—111no—
1562C22⋊C4—111no—
1563C22⋊C4—111no—
1564C22⋊C4—111no—
1565C22⋊C4—221no—
1566C22⋊C4—221no—
1567C22⋊C4—221no—
1568C22⋊C4—221no—
1569C22⋊C4—221no—
1570C22⋊C4—221no—
1571C22⋊C4—221no—
1572C22⋊C4—221no—
1573C22⋊C4—221no—
1574C22⋊C4—221no—
1575C22⋊C4—221no—
1576C22⋊C4—221no—
1577C22⋊C4—221no—
1578C22⋊C4—221no—
1579C22⋊C4—221no—
1580C22⋊C4—221no—
1581C22⋊C4—221no—
1582C22⋊C4—221no—
1583C22⋊C4—221no—
1584C22⋊C4—221no—
1585C22⋊C4—221no—
1586C22⋊C4—221no—
1587C22⋊C4—221no—
1588C22⋊C4—221no—
1589C22⋊C4—221no—
1590C22⋊C4—221no—
1591C22⋊C4—221no—
1592C22⋊C4—221no—
1593C22⋊C4—221no—
1594C22⋊C4—221no—
1595C22⋊C4—221no—
1596C22⋊C4—221no—
1597C22⋊C4D4×D1111yescharacteristic
1598C22⋊C4D4×D1111yescharacteristic
1599C42—21no—
1600C42—21no—
1601C42—111no—
1602C42—111no—
1603C42—111no—
1604C42—111no—
1605C42—221no—
1606C42—221no—
1607C42—221no—
1608C42—221no—
1609C42C23×D1111yescharacteristic
1610C42C23×D1111yescharacteristic
1611C11#6201811yescharacteristic, complemented, Sylow
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—81no—
1617C23—81no—
1618C23—81no—
1619C23—111no—
1620C23—111no—
1621C23—221no—
1622C23—221no—
1623C23—442no—
1624C23—442no—
1625C23—442no—
1626C23—881no—
1627C23—881no—
1628C23—881no—
1629C23—881no—
1630C23—881no—
1631C23—881no—
1632C23C2×D4×D1111yescharacteristic
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—221no—
1638Q8—221no—
1639Q8—221no—
1640Q8—221no—
1641Q8—441no—
1642Q8—442no—
1643Q8—881no—
1644Q8—881no—
1645Q8—881no—
1646Q8—881no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—42no—
1655D4—81no—
1656D4—81no—
1657D4—81no—
1658D4—81no—
1659D4—81no—
1660D4—81no—
1661D4—222no—
1662D4—222no—
1663D4—221no—
1664D4—221no—
1665D4—221no—
1666D4—221no—
1667D4—441no—
1668D4—442no—
1669D4—442no—
1670D4—442no—
1671D4—442no—
1672D4—881no—
1673D4—881no—
1674D4—881no—
1675D4—881no—
1676D4—881no—
1677D4—881no—
1678D4—881no—
1679D4—881no—
1680D4—881no—
1681D4#6703712yes—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—42no—
1689C2×C4—81no—
1690C2×C4—81no—
1691C2×C4—81no—
1692C2×C4—81no—
1693C2×C4—111no—
1694C2×C4—111no—
1695C2×C4—111no—
1696C2×C4—111no—
1697C2×C4—111no—
1698C2×C4—111no—
1699C2×C4—222no—
1700C2×C4—221no—
1701C2×C4—221no—
1702C2×C4—221no—
1703C2×C4—221no—
1704C2×C4—221no—
1705C2×C4—221no—
1706C2×C4—221no—
1707C2×C4—221no—
1708C2×C4—221no—
1709C2×C4—221no—
1710C2×C4—441no—
1711C2×C4—442no—
1712C2×C4—442no—
1713C2×C4—442no—
1714C2×C4—881no—
1715C2×C4—881no—
1716C2×C4—881no—
1717C2×C4—881no—
1718C2×C4—881no—
1719C2×C4—881no—
1720C2×C4—881no—
1721C2×C4—881no—
1722C2×C4—881no—
1723C2×C4—881no—
1724C2×C4C2×D4×D1111yescharacteristic
1725C2×C4C2×D4×D1111yescharacteristic
1726C2×C4C2×D4×D1111yescharacteristic
1727C2×C4C2×D4×D1111yescharacteristic
1728C2×C4C2×D4×D1111yescharacteristic
1729C2×C4C24×D1111yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—221no—
1735C8—221no—
1736C8—221no—
1737C8—221no—
1738C22—21no—
1739C22—22no—
1740C22—21no—
1741C22—21no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—112no—
1754C22—162no—
1755C22—221no—
1756C22—221no—
1757C22—221no—
1758C22—221no—
1759C22—221no—
1760C22—441no—
1761C22—441no—
1762C22—441no—
1763C22—441no—
1764C22—441no—
1765C22—441no—
1766C22—884no—
1767C22—1762no—
1768C22—1762no—
1769C22C22×D4×D1111yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—41no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—221no—
1780C4—221no—
1781C4—221no—
1782C4—221no—
1783C4—221no—
1784C4—221no—
1785C4—441no—
1786C4—441no—
1787C4—441no—
1788C4—441no—
1789C4—441no—
1790C4—441no—
1791C4C2×#6703711yescharacteristic
1792C4#1062345311yescharacteristic
1793C2—41no—
1794C2—42no—
1795C2—81no—
1796C2—81no—
1797C2—81no—
1798C2—222no—
1799C2—441no—
1800C2—881no—
1801C2—881no—
1802C2#1308228111yescharacteristic
1803C2D11×#57711yescharacteristic
1804C2#1308339111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3045C2
socleC22×C11C23×D4
hypercenter#3045D11
hypocenterC11#62018
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3045

Complements

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

NH ≅ G/Ntype
1. #13083134C2semidirect
2. #13082655C2semidirect
3. #13081686C2semidirect
4. #13081675C2semidirect
5. #13081412C2semidirect
6. #13081403C2semidirect
7. #13080734C2semidirect
8. #13080728C2semidirect
9. #13080578C2semidirect
10. #13080573C2semidirect
11. #13080443C2semidirect
12. #13080436C2semidirect
13. #13080329C2semidirect
14. #13080317C2semidirect
15. #13080141C2semidirect
16. #13080135C2semidirect
17. #13080091C2semidirect
18. #13080090C2semidirect
19. #13080087C2semidirect
20. #13080084C2semidirect
21. #13079930C2semidirect
22. #13079715C2semidirect
23. #13079710C2semidirect
24. #13079617C2semidirect
25. #13078893C2semidirect
26. #13078890C2semidirect
27. #13078706C2semidirect
28. #13078150C2semidirect
29. D11×#463C2semidirect
30. #13077753C2semidirect
31. C11×#3045C2semidirect
32. C2×C11×AGL(1,ℤ/8)C22semidirect
33. C2×C11×#135C22semidirect
34. C11×#535C22semidirect
35. C11×#520C22semidirect
37. #10623360C22semidirect
38. #10623360C22semidirect
39. #10623355C22semidirect
40. #10623337C22semidirect
42. C2×SD16×D11C22semidirect
43. C2×#66965C22semidirect
44. C2×#66964C22semidirect
48. #10623246C22semidirect
49. #10623244C22semidirect
50. #10623213C22semidirect
51. #10623212C22semidirect
62. #10623113C22semidirect
63. #10623110C22semidirect
64. #10623109C22semidirect
65. #10623099C22semidirect
68. #10623085C22semidirect
71. #10623077C22semidirect
72. C4×D4×D11C22semidirect
73. D4×Dic22C22semidirect
74. #10623065C22semidirect
75. #10623065C22semidirect
80. #10623042C22semidirect
82. #10623038C22semidirect
83. C11×#464C22semidirect
84. C11×#464C22semidirect
85. C11×#463C22semidirect
86. C11×#463C22semidirect
87. C11×#460C22semidirect
88. C11×#460C22semidirect
90. C11×#459C22semidirect
91. C11×#424C22semidirect
92. C11×#417C22semidirect
93. C2×C11×#102C22semidirect
94. #10622852C22semidirect
95. #10622852C22semidirect
97. #10622851C22semidirect
98. #10622831C22semidirect
99. #10622830C22semidirect
100. #10622803C22semidirect
101. #10622802C22semidirect
102. #10622799C22semidirect
103. #10622798C22semidirect
105. #10622786C22semidirect
106. #10622786C22semidirect
107. #10622784C22semidirect
108. #10622784C22semidirect
109. #10622784C22semidirect
111. #10622782C22semidirect
112. #10622781C22semidirect
113. #10622780C22semidirect
114. #10622778C22semidirect
115. #10622778C22semidirect
116. #10622775C22semidirect
117. #10622775C22semidirect
118. SD16×Dic11C22semidirect
120. #10622769C22semidirect
121. #10622769C22semidirect
122. #10622766C22semidirect
123. #10622766C22semidirect
124. #10622765C22semidirect
125. #10622765C22semidirect
126. #10622765C22semidirect
128. #10622750C22semidirect
130. #10622740C22semidirect
131. #10622740C22semidirect
132. #10622727C22semidirect
133. #10622727C22semidirect
134. #10622724C22semidirect
135. C8×C22⋊D11C22semidirect
136. #10622688C22semidirect
138. #10622685C22semidirect
139. #10622683C22semidirect
140. #10622672C22semidirect
141. #10622670C22semidirect
142. #10622668C22semidirect
143. #10622667C22semidirect
144. #10622643C22semidirect
145. #10622641C22semidirect
146. C4×#4325C22semidirect
147. #10622633C22semidirect
148. C4×#4324C22semidirect
149. #10622629C22semidirect
150. #10622627C22semidirect
151. #10622621C22semidirect
152. #10622613C22semidirect
153. #10622584C22semidirect
154. #10622581C22semidirect
155. #10622464C22semidirect
156. #10622464C22semidirect
157. #10622458C22semidirect
158. #10622458C22semidirect
159. #10622457C22semidirect
160. #10622457C22semidirect
161. #10622455C22semidirect
162. #10622455C22semidirect
163. #10622453C22semidirect
164. #10622452C22semidirect
165. #10622449C22semidirect
166. #10622448C22semidirect
167. #10622447C22semidirect
168. D11×C4⋊C8C22semidirect
169. #10622444C22semidirect
170. #10622441C22semidirect
171. #10622432C22semidirect
172. #10622421C22semidirect
173. #10622420C22semidirect
174. #10622418C22semidirect
175. D11×#103C22semidirect
176. #10622408C22semidirect
177. #10622404C22semidirect
178. #10622402C22semidirect
179. #10622400C22semidirect
180. #10622398C22semidirect
181. #10622398C22semidirect
183. #10622394C22semidirect
184. #10622391C22semidirect
185. #10622391C22semidirect
186. #10622390C22semidirect
187. #10622390C22semidirect
188. #10622390C22semidirect
190. #10622386C22semidirect
191. #10622384C22semidirect
193. D11×#102C22semidirect
194. #10622380C22semidirect
195. #10622378C22semidirect
196. #10622378C22semidirect
197. #10622375C22semidirect
198. #10622374C22semidirect
199. #10622374C22semidirect
200. #10622374C22semidirect
201. #10622373C22semidirect
202. #10622371C22semidirect
738. #3045D11semidirect
868. C2×AGL(1,ℤ/8)C2×D11semidirect
870. C2×#135C2×D11semidirect
907. #535C2×D11semidirect
916. #520C2×D11semidirect
964. #464C2×D11semidirect
965. #464C2×D11semidirect
976. #463C2×D11semidirect
977. #463C2×D11semidirect
982. #460C2×D11semidirect
983. #460C2×D11semidirect
987. #459C2×D11semidirect
1030. #424C2×D11semidirect
1033. #417C2×D11semidirect
1037. C2×#102C2×D11semidirect
1611. C11#62018semidirect

Maximal subgroups

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

subgroupindex
#130831342
#130826552
#130816862
#130816752
#130814122
#130814032
#130807342
#130807282
#130805782
#130805732
#130804432
#130804362
#130803292
#130803172
#130801412
#130801352
#130800912
#130800902
#130800872
#130800842
#130799302
#130797152
#130797102
#130796172
#130788932
#130788902
#130787062
#130781502
D11×#4632
#130777532
C11×#30452
#6201811