Finite Group Databasebeta

← #15647345

Subgroups — #15647345

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#13082663C211yesmaximal, characteristic, complemented
3#13081688C211yesmaximal, characteristic, complemented
4#13081677C211yesmaximal, characteristic, complemented
5#13081413C211yesmaximal, characteristic, complemented
6#13081405C211yesmaximal, characteristic, complemented
7#13080726C211yesmaximal, characteristic, complemented
8#13080720C211yesmaximal, characteristic, complemented
9#13080581C211yesmaximal, characteristic, complemented
10#13080570C211yesmaximal, characteristic, complemented
11#13080439C211yesmaximal, characteristic, complemented
12#13080433C211yesmaximal, characteristic, complemented
13#13080326C211yesmaximal, characteristic, complemented
14#13080322C211yesmaximal, characteristic, complemented
15#13080145C211yesmaximal, characteristic, complemented
16#13080139C211yesmaximal, characteristic, complemented
17#13080095C211yesmaximal, characteristic, complemented
18#13080094C211yesmaximal, characteristic, complemented
19#13080083C211yesmaximal, characteristic, complemented
20#13080081C211yesmaximal, characteristic, complemented
21#13079930C211yesmaximal, characteristic, complemented
22#13079707C211yesmaximal, characteristic, complemented
23#13079617C211yesmaximal, characteristic, complemented
24#13078895C211yesmaximal, characteristic, complemented
25#13078892C211yesmaximal, characteristic, complemented
26#13078706C211yesmaximal, characteristic, complemented
27#13078152C211yesmaximal, characteristic, complemented
28#13078151C211yesmaximal, characteristic, complemented
29D11×#463C211yesmaximal, characteristic, complemented
30#13077750C211yesmaximal, characteristic, complemented
31C11×#3224C211yesmaximal, characteristic, complemented
32C11×#542C2211yescharacteristic, complemented
33C11×#535C2211yescharacteristic, complemented
34#10623362C2211yescharacteristic
35#10623360C2211yescharacteristic, complemented
36C2×#67003C2211yescharacteristic, complemented
37#10623337C2211yescharacteristic, complemented
38D4×C22⋊D11C2211yescharacteristic
39C2×#66985C2211yescharacteristic, complemented
40C2×#66969C2211yescharacteristic, complemented
41C2×#66967C2211yescharacteristic, complemented
42C2×SD16×D11C2211yescharacteristic, complemented
43C2×D8×D11C2211yescharacteristic
44#10623261C2211yescharacteristic, complemented
45#10623258C2211yescharacteristic, complemented
46#10623248C2211yescharacteristic
47#10623247C2211yescharacteristic
48#10623246C2211yescharacteristic, complemented
49#10623244C2211yescharacteristic, complemented
50#10623239—21no—
51#10623236—21no—
52#10623213C2211yescharacteristic, complemented
53#10623212C2211yescharacteristic, complemented
54#10623210—21no—
55#10623208—21no—
56#10623208C2211yescharacteristic
57#10623207C2211yescharacteristic, complemented
58D11×#124C2211yescharacteristic
59#10623202C2211yescharacteristic, complemented
60#10623191—21no—
61#10623187—21no—
62#10623169—21no—
63#10623166C2211yescharacteristic, complemented
64#10623162C2211yescharacteristic, complemented
65D11×C22⋊Q8—21no—
66#10623152—21no—
67#10623148—21no—
68#10623144—21no—
69#10623143C2211yescharacteristic, complemented
70#10623142C2211yescharacteristic, complemented
71#10623141—21no—
72#10623125—21no—
73#10623124—21no—
74#10623122—21no—
75#10623120—21no—
76#10623109C2211yescharacteristic, complemented
77#10623105C2211yescharacteristic, complemented
78#10623092C2211yescharacteristic, complemented
79C4×D4×D11C2211yescharacteristic, complemented
80#10623065C2211yescharacteristic, complemented
81#10623059C2211yescharacteristic
82#10623054C2211yescharacteristic, complemented
83C11×#496C2211yescharacteristic
84C11×#495C2211yescharacteristic, complemented
85C11×#489C2211yescharacteristic, complemented
86C11×#486C2211yescharacteristic, complemented
87C11×#464C2211yescharacteristic, complemented
88C11×#463C2211yescharacteristic, complemented
89C11×#460C2211yescharacteristic, complemented
90C11×#459C2211yescharacteristic, complemented
91C11×#452C2211yescharacteristic, complemented
92C11×#450C2211yescharacteristic, complemented
93C11×#449C2211yescharacteristic, complemented
94C11×#447C2211yescharacteristic, complemented
95C11×#433C2211yescharacteristic, complemented
96#10622845C2211yescharacteristic, complemented
97C2×#66896C2211yescharacteristic, complemented
98#10622803C2211yescharacteristic, complemented
99#10622800C2211yescharacteristic, complemented
100#10622799C2211yescharacteristic, complemented
101#10622797C2211yescharacteristic, complemented
102#10622785C2211yescharacteristic
103#10622784C2211yescharacteristic, complemented
104#10622784C2211yescharacteristic, complemented
105#10622784C2211yescharacteristic, complemented
106#10622782C2211yescharacteristic
107#10622780C2211yescharacteristic, complemented
108#10622779C2211yescharacteristic, complemented
109#10622779C2211yescharacteristic, complemented
110#10622778C2211yescharacteristic, complemented
111#10622776C2211yescharacteristic, complemented
112#10622775C2211yescharacteristic, complemented
113#10622775C2211yescharacteristic, complemented
114SD16×Dic11C2211yescharacteristic, complemented
115#10622772C2211yescharacteristic
116#10622771C2211yescharacteristic, complemented
117#10622769C2211yescharacteristic, complemented
118#10622769C2211yescharacteristic, complemented
119#10622769C2211yescharacteristic, complemented
120#10622768C2211yescharacteristic, complemented
121#10622767C2211yescharacteristic
122#10622766C2211yescharacteristic, complemented
123#10622766C2211yescharacteristic, complemented
124#10622765C2211yescharacteristic, complemented
125#10622765C2211yescharacteristic, complemented
126#10622707C2211yescharacteristic, complemented
127#10622697C2211yescharacteristic, complemented
128#10622688C2211yescharacteristic, complemented
129#10622688C2211yescharacteristic, complemented
130#10622685C2211yescharacteristic
131#10622685C2211yescharacteristic, complemented
132#10622670C2211yescharacteristic, complemented
133#10622670C2211yescharacteristic, complemented
134#10622670C2211yescharacteristic, complemented
135#10622667C2211yescharacteristic, complemented
136#10622667C2211yescharacteristic, complemented
137#10622667C2211yescharacteristic, complemented
138#10622665C2211yescharacteristic, complemented
139#10622661C2211yescharacteristic, complemented
140#10622654C2211yescharacteristic, complemented
141#10622652C2211yescharacteristic
142#10622641C2211yescharacteristic, complemented
143#10622633C2211yescharacteristic, complemented
144#10622629C2211yescharacteristic, complemented
145#10622621C2211yescharacteristic, complemented
146#10622612C2211yescharacteristic, complemented
147#10622464C2211yescharacteristic, complemented
148#10622458C2211yescharacteristic, complemented
149#10622457C2211yescharacteristic, complemented
150#10622455C2211yescharacteristic, complemented
151#10622453C2211yescharacteristic, complemented
152#10622452C2211yescharacteristic, complemented
153#10622448C2211yescharacteristic, complemented
154D11×C4⋊C8C2211yescharacteristic, complemented
155#10622432C2211yescharacteristic, complemented
156#10622429C2211yescharacteristic, complemented
157#10622421C2211yescharacteristic, complemented
158#10622418C2211yescharacteristic, complemented
159D11×#103C2211yescharacteristic, complemented
160#10622408C2211yescharacteristic, complemented
161#10622404C2211yescharacteristic, complemented
162#10622401C2211yescharacteristic, complemented
163#10622400C2211yescharacteristic, complemented
164#10622400C2211yescharacteristic, complemented
165#10622399C2211yescharacteristic
166#10622398C2211yescharacteristic, complemented
167#10622398C2211yescharacteristic, complemented
168#10622398C2211yescharacteristic, complemented
169#10622396C2211yescharacteristic, complemented
170#10622391C2211yescharacteristic, complemented
171#10622391C2211yescharacteristic, complemented
172#10622391C2211yescharacteristic, complemented
173#10622390C2211yescharacteristic, complemented
174#10622390C2211yescharacteristic, complemented
175#10622390C2211yescharacteristic, complemented
176#10622389C2211yescharacteristic
177#10622389C2211yescharacteristic, complemented
178#10622384C2211yescharacteristic, complemented
179D11×#102C2211yescharacteristic
180D11×#102C2211yescharacteristic, complemented
181#10622378C2211yescharacteristic, complemented
182#10622378C2211yescharacteristic, complemented
183#10622374C2211yescharacteristic, complemented
184#10622374C2211yescharacteristic, complemented
185#10622374C2211yescharacteristic, complemented
186#10622373C2211yescharacteristic, complemented
187#10622348C2211yescharacteristic, complemented
188#10622347C2211yescharacteristic
189#10622346C2211yescharacteristic, complemented
190#10622343C2211yescharacteristic, complemented
191#10622341C2211yescharacteristic, complemented
192#10622341C2211yescharacteristic, complemented
193(C22⋊D11)⋊C8C2211yescharacteristic, complemented
194#10622334C2211yescharacteristic, complemented
195#10622329C2211yescharacteristic, complemented
196#10622324C2211yescharacteristic, complemented
197#10622319C2211yescharacteristic, complemented
198#10622314C2211yescharacteristic, complemented
199C4×#4314C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201C8×D44C2211yescharacteristic, complemented
202#10622292C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×D4×C11C2311yescharacteristic
205C22×C22⋊D11—21no—
206C2×#4343C2311yescharacteristic
207C2×Q8×D11—21no—
208C2×Q8×D11C2311yescharacteristic
209C2×#4341—21no—
210C2×#4341—21no—
211C2×#4341C2311yescharacteristic
212C2×D4×D11—21no—
213C2×D4×D11C2311yescharacteristic
214C2×D4×D11C2311yescharacteristic
215C2×D4×D11C2311yescharacteristic
216C2×#4339C2311yescharacteristic
217C22×C4×D11—21no—
218C2×C11×Q16C2311yescharacteristic
219C2×C11×SD16C2311yescharacteristic
220C2×C11×SD16C2311yescharacteristic
221C2×C11×SD16C2311yescharacteristic
222C2×C11×SD16C2311yescharacteristic
223C2×C11×D8C2311yescharacteristic
224C2×C11×D8C2311yescharacteristic
225C2×C11×D8C2311yescharacteristic
226C11×C4⋊Q8C2311yescharacteristic
227C11×#127C2311yescharacteristic
228C11×#127C2311yescharacteristic
229C11×#126—21no—
230C11×#124—21no—
231C11×#124C2311yescharacteristic
232C11×#124C2311yescharacteristic
233C11×#124C2311yescharacteristic
234C11×#123—21no—
235C11×C22⋊Q8—21no—
236C11×C22⋊Q8C2311yescharacteristic
237C11×#121—21no—
238C11×#121—21no—
239C11×#121C2311yescharacteristic
240C11×#120—21no—
241C11×#120—21no—
242C4×Q8×C11C2311yescharacteristic
243C4×D4×C11C2311yescharacteristic
244C11×#117C2311yescharacteristic
245#67006—21no—
246#67006—21no—
247C2×C22⋊Dic11—21no—
248#67003—42no—
249#67000C2311yescharacteristic
250#66999—21no—
251#66999—21no—
252#66999—21no—
253#66999C2311yescharacteristic
254#66999C2311yescharacteristic
255Q8×Dic11C2311yescharacteristic
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#66991—21no—
269#66991—21no—
270#66991—21no—
271#66991—21no—
272#66991C2311yescharacteristic
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#66989C2311yescharacteristic
289#66988—21no—
290#66988—21no—
291#66988—21no—
292#66988—21no—
293D4×Dic11—21no—
294D4×Dic11—21no—
295D4×Dic11C2311yescharacteristic
296D4×Dic11C2311yescharacteristic
297D4×Dic11C2311yescharacteristic
298D4×Dic11C2311yescharacteristic
299C2×#4324C2311yescharacteristic
300C2×#4324C2311yescharacteristic
301C2×#4324C2311yescharacteristic
302C2×#4324C2311yescharacteristic
303#66985—42no—
304C2×#4323C2311yescharacteristic
305C2×#4323C2311yescharacteristic
306C2×#4323C2311yescharacteristic
307C2×#4323C2311yescharacteristic
308#66983C2311yescharacteristic
309#66982—21no—
310#66982—21no—
311C4×C22⋊D11—21no—
312C4×C22⋊D11—21no—
313C4×C22⋊D11C2311yescharacteristic
314C4×C22⋊D11C2311yescharacteristic
315C2×(C2×D11)⋊C4—21no—
316C2×C4⋊Dic11C2311yescharacteristic
317#66977—21no—
318#66977—21no—
319#66977C2311yescharacteristic
320C2×#4318C2311yescharacteristic
321C22×C11⋊C8C2311yescharacteristic
322#66969—42no—
323#66967—42no—
324SD16×D11—42no—
325D8×D11—42no—
326C2×Dic44C2311yescharacteristic
327C2×D88C2311yescharacteristic
328C2×#4314C2311yescharacteristic
329C2×#4314C2311yescharacteristic
330C2×#4313C2311yescharacteristic
331C2×C8×D11C2311yescharacteristic
332C2×C8×D11C2311yescharacteristic
333C2×C8×D11C2311yescharacteristic
334#66951—21no—
335#66951D411yescharacteristic
336#66950—21no—
337#66950C2311yescharacteristic
338#66950C2311yescharacteristic
339#66949—21no—
340#66949—21no—
341#66949—21no—
342#66949—21no—
343#66949D411yescharacteristic
344#66947—21no—
345#66947D411yescharacteristic
346#66946—21no—
347#66946—21no—
348#66946C2311yescharacteristic
349#66946C2311yescharacteristic
350#66945—21no—
351C4⋊C4×D11—21no—
352C4⋊C4×D11—21no—
353C4⋊C4×D11—21no—
354C4⋊C4×D11C2311yescharacteristic
355C4⋊C4×D11C2311yescharacteristic
356#66943—21no—
357#66942—21no—
358#66942—21no—
359#66942D411yescharacteristic
360#66941C2311yescharacteristic
361#66941C2311yescharacteristic
362#66939—21no—
363#66939—21no—
364#66938—21no—
365#66938—21no—
366#66938—21no—
367#66938—21no—
368#66938—21no—
369#66938—21no—
370#66938—21no—
371#66938D411yescharacteristic
372#66937—21no—
373#66937—21no—
374#66937—21no—
375#66937D411yescharacteristic
376#66936—21no—
377#66936—21no—
378#66936—21no—
379#66936—21no—
380#66936—21no—
381#66936—21no—
382#66936D411yescharacteristic
383#66935—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)⋊C4—21no—
390C22⋊C4×D11—21no—
391C22⋊C4×D11—21no—
392C22⋊C4×D11—21no—
393C22⋊C4×D11—21no—
394C22⋊C4×D11—21no—
395#66932—21no—
396#66932—21no—
397#66932—21no—
398#66932—21no—
399#66932D411yescharacteristic
400#66931—21no—
401#66931—21no—
402#66931—21no—
403#66931—21no—
404#66931—21no—
405#66930—21no—
406#66928C2311yescharacteristic
407C4×D44—21no—
408C4×D44C2311yescharacteristic
409C4×D44C2311yescharacteristic
410C4×D44C2311yescharacteristic
411C4×D44C2311yescharacteristic
412#66925—21no—
413#66925—21no—
414#66925C2311yescharacteristic
415C42×D11C2311yescharacteristic
416#66922C2311yescharacteristic
417C4×Dic22—21no—
418C4×Dic22C2311yescharacteristic
419C4×Dic22C2311yescharacteristic
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×C4⋊C8C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×#103C2311yescharacteristic
426C11×#102C2311yescharacteristic
427C11×#102C2311yescharacteristic
428C11×#102C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×C22⋊C8C2311yescharacteristic
433C11×C22⋊C8C2311yescharacteristic
434C11×#97C2311yescharacteristic
435C4×C8×C11C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66899C2311yescharacteristic
439#66899C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446#66896C2311yescharacteristic
447#66896C2311yescharacteristic
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
482C4⋊(C11⋊C8)C2311yescharacteristic
483C4⋊(C11⋊C8)C2311yescharacteristic
484#62018—111nomaximal, Sylow
485C24×C11—21no—
486C23×D11—21no—
487C23×D11—21no—
488C23×D11—21no—
489C11×#41—41no—
490C11×#41—41no—
491C2×Q8×C11—21no—
492C2×Q8×C11C2411yescharacteristic
493C2×Q8×C11C2411yescharacteristic
494C2×D4×C11—21no—
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—41no—
502C2×D4×C11—41no—
503C2×D4×C11C2411yescharacteristic
504C2×D4×C11C2411yescharacteristic
505C2×D4×C11C2411yescharacteristic
506C2×D4×C11C2411yescharacteristic
507C22×C4×C11—21no—
508C22×C4×C11—21no—
509C22×C4×C11C2411yescharacteristic
510C2×C22⋊D11—21no—
511C2×C22⋊D11—21no—
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
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—82no—
523C2×C22⋊D11C2×D411yescharacteristic
524C2×C22⋊D11C2×D411yescharacteristic
525C22×Dic11—21no—
526C22×Dic11—21no—
527C22×Dic11—21no—
528C22×Dic11—21no—
529C22×Dic11—21no—
530C22×Dic11—21no—
531#4343—22no—
532#4343—41no—
533Q8×D11—41no—
534Q8×D11—41no—
535Q8×D11—82no—
536#4341—41no—
537#4341—41no—
538#4341—82no—
539#4341—82no—
540D4×D11—22no—
541D4×D11—41no—
542D4×D11—41no—
543D4×D11—41no—
544D4×D11—41no—
545D4×D11—41no—
546D4×D11—82no—
547#4339—22no—
548#4339—41no—
549C2×D44—21no—
550C2×D44C2×D411yescharacteristic
551C2×D44C2411yescharacteristic
552C2×D44C2411yescharacteristic
553C2×C4×D11—21no—
554C2×C4×D11—21no—
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—21no—
562C2×C4×D11—21no—
563C2×C4×D11—82no—
564C2×C4×D11C2×D411yescharacteristic
565C2×C4×D11C2×D411yescharacteristic
566C2×C4×D11C2411yescharacteristic
567C2×C4×D11C2411yescharacteristic
568C2×Dic22—21no—
569C2×Dic22—21no—
570C2×Dic22—21no—
571C2×Dic22—21no—
572C2×Dic22C2×D411yescharacteristic
573C2×Dic22C2411yescharacteristic
574C2×Dic22C2411yescharacteristic
575C11×Q16—41no—
576C11×SD16—41no—
577C11×SD16—41no—
578C11×SD16—41no—
579C11×SD16—41no—
580C11×D8—41no—
581C11×D8—41no—
582C11×D8—41no—
583C2×C8×C11C2411yescharacteristic
584C2×C8×C11C2411yescharacteristic
585C2×C8×C11C2411yescharacteristic
586C2×C8×C11C2411yescharacteristic
587C11×C4⋊C4—21no—
588C11×C4⋊C4—21no—
589C11×C4⋊C4—21no—
590C11×C4⋊C4C2×D411yescharacteristic
591C11×C4⋊C4C2×D411yescharacteristic
592C11×C4⋊C4C2411yescharacteristic
593C11×C4⋊C4C2411yescharacteristic
594C11×C22⋊C4—21no—
595C11×C22⋊C4—21no—
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⋊C4—21no—
603C11×C22⋊C4C2×D411yescharacteristic
604C11×C22⋊C4C2×D411yescharacteristic
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⋊Dic11—21no—
623C22⋊Dic11C2×D411yescharacteristic
624C22⋊Dic11C2×D411yescharacteristic
625#4326—41no—
626#4326—41no—
627#4325—22no—
628#4325—41no—
629#4324—41no—
630#4324—41no—
631#4324—41no—
632#4324—41no—
633#4323—22no—
634#4323—22no—
635#4323—22no—
636#4323—41no—
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)⋊C4C2×D411yescharacteristic
652(C2×D11)⋊C4C2×D411yescharacteristic
653(C2×D11)⋊C4C2×D411yescharacteristic
654(C2×D11)⋊C4C2×D411yescharacteristic
655(C2×D11)⋊C4C2×D411yescharacteristic
656(C2×D11)⋊C4C2×D411yescharacteristic
657C4⋊Dic11—21no—
658C4⋊Dic11—21no—
659C4⋊Dic11—21no—
660C4⋊Dic11—21no—
661C4⋊Dic11—21no—
662C4⋊Dic11—21no—
663C4⋊Dic11C2×D411yescharacteristic
664C4⋊Dic11C2×D411yescharacteristic
665C4⋊Dic11C2411yescharacteristic
666C4⋊Dic11C2411yescharacteristic
667C4⋊Dic11C2411yescharacteristic
668C4⋊Dic11C2411yescharacteristic
669Dic11⋊C4—21no—
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⋊C4C2×D411yescharacteristic
682Dic11⋊C4C2×D411yescharacteristic
683Dic11⋊C4C2×D411yescharacteristic
684Dic11⋊C4C2×D411yescharacteristic
685Dic11⋊C4C2×D411yescharacteristic
686Dic11⋊C4C2×D411yescharacteristic
687C4×Dic11—21no—
688C4×Dic11—21no—
689C4×Dic11—21no—
690C4×Dic11—21no—
691C4×Dic11—21no—
692C4×Dic11C2×D411yescharacteristic
693C4×Dic11C2×D411yescharacteristic
694C4×Dic11C2411yescharacteristic
695C4×Dic11C2411yescharacteristic
696#4318—41no—
697C2×C11⋊C8—41no—
698C2×C11⋊C8C2411yescharacteristic
699C2×C11⋊C8C2411yescharacteristic
700C2×C11⋊C8C2411yescharacteristic
701C2×C11⋊C8C2411yescharacteristic
702Dic44—41no—
703D88—22no—
704#4314—22no—
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#3224D1111yescharacteristic, complemented
733#3215—111no—
734#3125—111no—
735#3125—111no—
736#3109—111no—
737#3045—111no—
738#3045—111no—
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—
766Q8×C11—81no—
767D4×C11—21no—
768D4×C11—21no—
769D4×C11—21no—
770D4×C11—21no—
771D4×C11—21no—
772D4×C11—21no—
773D4×C11—21no—
774D4×C11—21no—
775D4×C11—81no—
776D4×C11—81no—
777D4×C11—81no—
778D4×C11—81no—
779D4×C11—81no—
780D4×C11—81no—
781D4×C11—81no—
782C2×C4×C11—21no—
783C2×C4×C11—21no—
784C2×C4×C11—21no—
785C2×C4×C11—21no—
786C2×C4×C11—21no—
787C2×C4×C11—21no—
788C2×C4×C11—81no—
789C2×C4×C11—81no—
790C2×C4×C11C22×D411yescharacteristic
791C2×C4×C11C22×D411yescharacteristic
792C2×C4×C11C22×D411yescharacteristic
793C2×C4×C11C22×D411yescharacteristic
794C2×C4×C11C22×D411yescharacteristic
795C2×C4×C11C2511yescharacteristic
796C22⋊D11—22no—
797C22⋊D11—41no—
798C22⋊D11—42no—
799C22⋊D11—42no—
800C22⋊D11—42no—
801C22⋊D11—42no—
802C22⋊D11—81no—
803C22⋊D11—81no—
804C22⋊D11—81no—
805C22⋊D11—81no—
806C22⋊D11—81no—
807C22⋊D11—81no—
808C22⋊D11—81no—
809C22⋊D11—81no—
810C2×Dic11—21no—
811C2×Dic11—21no—
812C2×Dic11—21no—
813C2×Dic11—21no—
814C2×Dic11—21no—
815C2×Dic11—21no—
816C2×Dic11—42no—
817C2×Dic11—81no—
818C2×Dic11—81no—
819C2×Dic11—81no—
820C2×Dic11—81no—
821C2×Dic11—81no—
822C2×Dic11C22×D411yescharacteristic
823C2×Dic11C22×D411yescharacteristic
824C2×Dic11C22×D411yescharacteristic
825C2×Dic11C22×D411yescharacteristic
826C2×Dic11C22×D411yescharacteristic
827C2×Dic11C22×D411yescharacteristic
828D44—22no—
829D44—21no—
830D44—21no—
831D44—21no—
832D44—42no—
833D44H(5,𝔽2)12yes—
834C4×D11—22no—
835C4×D11—21no—
836C4×D11—21no—
837C4×D11—21no—
838C4×D11—21no—
839C4×D11—41no—
840C4×D11—42no—
841C4×D11—42no—
842C4×D11—42no—
843C4×D11—81no—
844C4×D11—81no—
845C4×D11—81no—
846C4×D11—81no—
847C4×D11—81no—
848C4×D11—81no—
849C4×D11—81no—
850Dic22—21no—
851Dic22—21no—
852Dic22—21no—
853Dic22—21no—
854Dic22—41no—
855Dic22—42no—
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)—111no—
869C2×#135—111no—
870C2×#135—111no—
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#542C2×D1111yescharacteristic, complemented
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#520—111no—
917C2×C4×D4—111no—
918#497—111no—
919#497—111no—
920#496—111no—
921#496C2×D1111yescharacteristic
922#495—111no—
923#495C2×D1111yescharacteristic, complemented
924#489—111no—
925#489—111no—
926#489—111no—
927#489C2×D1111yescharacteristic, complemented
928#486—111no—
929#486C2×D1111yescharacteristic, complemented
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#464—111no—
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#463—111no—
977#463C2×D1111yescharacteristic, complemented
978#461—111no—
979#461—111no—
980#460—111no—
981#460—111no—
982#460—111no—
983#460C2×D1111yescharacteristic, complemented
984#459—111no—
985#459—111no—
986#459—111no—
987#459C2×D1111yescharacteristic, complemented
988#452—111no—
989#452—111no—
990#452—111no—
991#452C2×D1111yescharacteristic, complemented
992#451—111no—
993#451—111no—
994#450—111no—
995#450—111no—
996#450—111no—
997#450C2×D1111yescharacteristic, complemented
998#449—111no—
999#449—111no—
1000#449—111no—
1001#449C2×D1111yescharacteristic, complemented
1002#447—111no—
1003#447—111no—
1004#447—111no—
1005#447C2×D1111yescharacteristic, complemented
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#433C2×D1111yescharacteristic, complemented
1028#432—111no—
1029#424—111no—
1030#424—111no—
1031C2×C4⋊C8—111no—
1032#417—111no—
1033#417—111no—
1034C2×#103—111no—
1035C2×#102—111no—
1036C2×#102—111no—
1037C2×#102—111no—
1038C22×C11—21no—
1039C22×C11—21no—
1040C22×C11—21no—
1041C22×C11—41no—
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—22no—
1059C2×D11—21no—
1060C2×D11—21no—
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—111no—
1096C2×#41—221no—
1097C2×#41—221no—
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)—442no—
1109AGL(1,ℤ/8)—442no—
1110#135—442no—
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×M16—111no—
1140C22×C8—111no—
1141C22×C8—111no—
1142C22×C8—111no—
1143C22×C8—111no—
1144C4⋊Q8—111no—
1145C4⋊Q8—111no—
1146C4⋊Q8—111no—
1147C4⋊Q8—111no—
1148C4⋊Q8C22×D1111yescharacteristic
1149#127—111no—
1150#127C22×D1111yescharacteristic
1151#127C22×D1111yescharacteristic
1152#126—21no—
1153#126—111no—
1154#126—111no—
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—21no—
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#124C22×D1111yescharacteristic
1182#124C22×D1111yescharacteristic
1183#124C22×D1111yescharacteristic
1184#123—21no—
1185#123—111no—
1186#123—111no—
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—21no—
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⋊Q8C22×D1111yescharacteristic
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—221no—
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#121C22×D1111yescharacteristic
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—111no—
1264C4×Q8—221no—
1265C4×Q8C22×D1111yescharacteristic
1266C4×D4—111no—
1267C4×D4—111no—
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—221no—
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×D4—221no—
1291C4×D4C22×D1111yescharacteristic
1292#117—111no—
1293#117—221no—
1294#117—221no—
1295#117—221no—
1296#117—221no—
1297#117C22×D1111yescharacteristic
1298C2×C4⋊C4—111no—
1299C2×C4⋊C4—111no—
1300C2×C4⋊C4—111no—
1301C2×C4⋊C4—221no—
1302C2×C4⋊C4—221no—
1303C2×C4⋊C4—221no—
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⋊C8—111no—
1327C4⋊C8—111no—
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⋊C8C22×D1111yescharacteristic
1367C22⋊C8C22×D1111yescharacteristic
1368#97—111no—
1369#97—111no—
1370#97—111no—
1371#97C22×D1111yescharacteristic
1372C4×C8—111no—
1373C4×C8C22×D1111yescharacteristic
1374C2×C11—41no—
1375C2×C11—81no—
1376C2×C11—81no—
1377C2×C11—81no—
1378C2×C11—81no—
1379C2×C11#348811yescharacteristic
1380C2×C11C2×#57711yescharacteristic
1381C2×C11#358511yescharacteristic
1382D11—22no—
1383D11—41no—
1384D11—42no—
1385D11—81no—
1386C24—21no—
1387C24—221no—
1388C24—221no—
1389C24—221no—
1390#41—41no—
1391#41—41no—
1392#41—222no—
1393#41—222no—
1394#41—441no—
1395#41—441no—
1396#41—441no—
1397#41—441no—
1398#41—882no—
1399#41—882no—
1400C2×Q8—21no—
1401C2×Q8—111no—
1402C2×Q8—111no—
1403C2×Q8—111no—
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—111no—
1455C22×C4—111no—
1456C22×C4—111no—
1457C22×C4—111no—
1458C22×C4—221no—
1459C22×C4—221no—
1460C22×C4—221no—
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—41no—
1481SD16—41no—
1482SD16—41no—
1483SD16—41no—
1484SD16—222no—
1485SD16—222no—
1486SD16—441no—
1487SD16—441no—
1488SD16—441no—
1489SD16—441no—
1490SD16—441no—
1491SD16—441no—
1492D8—41no—
1493D8—41no—
1494D8—41no—
1495D8—222no—
1496D8—222no—
1497D8—222no—
1498D8—222no—
1499D8—441no—
1500M16—441no—
1501M16—441no—
1502C2×C8—111no—
1503C2×C8—111no—
1504C2×C8—111no—
1505C2×C8—111no—
1506C2×C8—441no—
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—21no—
1558C22⋊C4—21no—
1559C22⋊C4—21no—
1560C22⋊C4—111no—
1561C22⋊C4—111no—
1562C22⋊C4—111no—
1563C22⋊C4—111no—
1564C22⋊C4—111no—
1565C22⋊C4—111no—
1566C22⋊C4—111no—
1567C22⋊C4—111no—
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—111no—
1601C42—111no—
1602C42—111no—
1603C42—111no—
1604C42—221no—
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—81no—
1638Q8—221no—
1639Q8—221no—
1640Q8—221no—
1641Q8—221no—
1642Q8—441no—
1643Q8—442no—
1644Q8—881no—
1645Q8—881no—
1646Q8—881no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—81no—
1656D4—81no—
1657D4—81no—
1658D4—81no—
1659D4—81no—
1660D4—81no—
1661D4—81no—
1662D4—112no—
1663D4—222no—
1664D4—222no—
1665D4—221no—
1666D4—221no—
1667D4—221no—
1668D4—442no—
1669D4—441no—
1670D4—442no—
1671D4—442no—
1672D4—442no—
1673D4—442no—
1674D4—881no—
1675D4—881no—
1676D4—881no—
1677D4—881no—
1678D4—881no—
1679D4—881no—
1680D4—881no—
1681D4—881no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—21no—
1687C2×C4—21no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4—111no—
1691C2×C4—111no—
1692C2×C4—111no—
1693C2×C4—111no—
1694C2×C4—111no—
1695C2×C4—111no—
1696C2×C4—222no—
1697C2×C4—221no—
1698C2×C4—221no—
1699C2×C4—221no—
1700C2×C4—221no—
1701C2×C4—221no—
1702C2×C4—221no—
1703C2×C4—221no—
1704C2×C4—221no—
1705C2×C4—221no—
1706C2×C4—221no—
1707C2×C4—441no—
1708C2×C4—442no—
1709C2×C4—442no—
1710C2×C4—442no—
1711C2×C4—442no—
1712C2×C4—881no—
1713C2×C4—881no—
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—21no—
1740C22—21no—
1741C22—41no—
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—222no—
1759C22—221no—
1760C22—221no—
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—
1791C4D11×H(5,𝔽2)11yescharacteristic
1792C4#1062345511yescharacteristic
1793C2—41no—
1794C2—81no—
1795C2—81no—
1796C2—81no—
1797C2—81no—
1798C2—222no—
1799C2—441no—
1800C2—442no—
1801C2—881no—
1802C2#1308228311yescharacteristic
1803C2D11×#57711yescharacteristic
1804C2#1308339111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3224C2
socleC22×C11C23×D4
hypercenter#3224D11
hypocenterC11#62018
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3224

Complements

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

NH ≅ G/Ntype
1. #13083134C2semidirect
2. #13082663C2semidirect
3. #13081688C2semidirect
4. #13081677C2semidirect
5. #13081413C2semidirect
6. #13081405C2semidirect
7. #13080726C2semidirect
8. #13080720C2semidirect
9. #13080581C2semidirect
10. #13080570C2semidirect
11. #13080439C2semidirect
12. #13080433C2semidirect
13. #13080326C2semidirect
14. #13080322C2semidirect
15. #13080145C2semidirect
16. #13080139C2semidirect
17. #13080095C2semidirect
18. #13080094C2semidirect
19. #13080083C2semidirect
20. #13080081C2semidirect
21. #13079930C2semidirect
22. #13079707C2semidirect
23. #13079617C2semidirect
24. #13078895C2semidirect
25. #13078892C2semidirect
26. #13078706C2semidirect
27. #13078152C2semidirect
28. #13078151C2semidirect
29. D11×#463C2semidirect
30. #13077750C2semidirect
31. C11×#3224C2semidirect
32. C11×#542C22semidirect
33. C11×#535C22semidirect
35. #10623360C22semidirect
36. C2×#67003C22semidirect
37. #10623337C22semidirect
39. C2×#66985C22semidirect
40. C2×#66969C22semidirect
41. C2×#66967C22semidirect
42. C2×SD16×D11C22semidirect
44. #10623261C22semidirect
45. #10623258C22semidirect
48. #10623246C22semidirect
49. #10623244C22semidirect
52. #10623213C22semidirect
53. #10623212C22semidirect
57. #10623207C22semidirect
59. #10623202C22semidirect
63. #10623166C22semidirect
64. #10623162C22semidirect
69. #10623143C22semidirect
70. #10623142C22semidirect
76. #10623109C22semidirect
77. #10623105C22semidirect
78. #10623092C22semidirect
79. C4×D4×D11C22semidirect
80. #10623065C22semidirect
82. #10623054C22semidirect
84. C11×#495C22semidirect
85. C11×#489C22semidirect
86. C11×#486C22semidirect
87. C11×#464C22semidirect
88. C11×#463C22semidirect
89. C11×#460C22semidirect
90. C11×#459C22semidirect
91. C11×#452C22semidirect
92. C11×#450C22semidirect
93. C11×#449C22semidirect
94. C11×#447C22semidirect
95. C11×#433C22semidirect
96. #10622845C22semidirect
97. C2×#66896C22semidirect
98. #10622803C22semidirect
99. #10622800C22semidirect
100. #10622799C22semidirect
101. #10622797C22semidirect
103. #10622784C22semidirect
104. #10622784C22semidirect
105. #10622784C22semidirect
107. #10622780C22semidirect
108. #10622779C22semidirect
109. #10622779C22semidirect
110. #10622778C22semidirect
111. #10622776C22semidirect
112. #10622775C22semidirect
113. #10622775C22semidirect
114. SD16×Dic11C22semidirect
116. #10622771C22semidirect
117. #10622769C22semidirect
118. #10622769C22semidirect
119. #10622769C22semidirect
120. #10622768C22semidirect
122. #10622766C22semidirect
123. #10622766C22semidirect
124. #10622765C22semidirect
125. #10622765C22semidirect
126. #10622707C22semidirect
127. #10622697C22semidirect
128. #10622688C22semidirect
129. #10622688C22semidirect
131. #10622685C22semidirect
132. #10622670C22semidirect
133. #10622670C22semidirect
134. #10622670C22semidirect
135. #10622667C22semidirect
136. #10622667C22semidirect
137. #10622667C22semidirect
138. #10622665C22semidirect
139. #10622661C22semidirect
140. #10622654C22semidirect
142. #10622641C22semidirect
143. #10622633C22semidirect
144. #10622629C22semidirect
145. #10622621C22semidirect
146. #10622612C22semidirect
147. #10622464C22semidirect
148. #10622458C22semidirect
149. #10622457C22semidirect
150. #10622455C22semidirect
151. #10622453C22semidirect
152. #10622452C22semidirect
153. #10622448C22semidirect
154. D11×C4⋊C8C22semidirect
155. #10622432C22semidirect
156. #10622429C22semidirect
157. #10622421C22semidirect
158. #10622418C22semidirect
159. D11×#103C22semidirect
160. #10622408C22semidirect
161. #10622404C22semidirect
162. #10622401C22semidirect
163. #10622400C22semidirect
164. #10622400C22semidirect
166. #10622398C22semidirect
167. #10622398C22semidirect
168. #10622398C22semidirect
169. #10622396C22semidirect
170. #10622391C22semidirect
171. #10622391C22semidirect
172. #10622391C22semidirect
173. #10622390C22semidirect
174. #10622390C22semidirect
175. #10622390C22semidirect
177. #10622389C22semidirect
178. #10622384C22semidirect
180. D11×#102C22semidirect
181. #10622378C22semidirect
182. #10622378C22semidirect
183. #10622374C22semidirect
184. #10622374C22semidirect
185. #10622374C22semidirect
186. #10622373C22semidirect
187. #10622348C22semidirect
189. #10622346C22semidirect
190. #10622343C22semidirect
191. #10622341C22semidirect
192. #10622341C22semidirect
193. (C22⋊D11)⋊C8C22semidirect
194. #10622334C22semidirect
195. #10622329C22semidirect
196. #10622324C22semidirect
197. #10622319C22semidirect
198. #10622314C22semidirect
199. C4×#4314C22semidirect
200. C4×#4314C22semidirect
201. C8×D44C22semidirect
202. #10622292C22semidirect
732. #3224D11semidirect
900. #542C2×D11semidirect
907. #535C2×D11semidirect
923. #495C2×D11semidirect
927. #489C2×D11semidirect
929. #486C2×D11semidirect
965. #464C2×D11semidirect
977. #463C2×D11semidirect
983. #460C2×D11semidirect
987. #459C2×D11semidirect
991. #452C2×D11semidirect
997. #450C2×D11semidirect
1001. #449C2×D11semidirect
1005. #447C2×D11semidirect
1027. #433C2×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
#130826632
#130816882
#130816772
#130814132
#130814052
#130807262
#130807202
#130805812
#130805702
#130804392
#130804332
#130803262
#130803222
#130801452
#130801392
#130800952
#130800942
#130800832
#130800812
#130799302
#130797072
#130796172
#130788952
#130788922
#130787062
#130781522
#130781512
D11×#4632
#130777502
C11×#32242
#6201811