Finite Group Databasebeta

← #15625705

Subgroups — #15625705

Order 2816.

2104 conjugacy classes of subgroups.

The subgroup lattice has 1898 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082403C211yesmaximal, characteristic, complemented
2#13082037C211yesmaximal, characteristic, complemented
3#13079729C211yesmaximal, characteristic, complemented
4#13079720C211yesmaximal, characteristic, complemented
5#13079716C211yesmaximal, characteristic, complemented
6#13079705C211yesmaximal, characteristic, complemented
7#13079678C211yesmaximal, characteristic, complemented
8#13079675C211yesmaximal, characteristic, complemented
9#13079667C211yesmaximal, characteristic, complemented
10#13079664C211yesmaximal, characteristic, complemented
11#13079658C211yesmaximal, characteristic, complemented
12#13079605C211yesmaximal, characteristic, complemented
13#13079601C211yesmaximal, characteristic, complemented
14#13079585C211yesmaximal, characteristic, complemented
15#13079577C211yesmaximal, characteristic, complemented
16#13079549C211yesmaximal, characteristic, complemented
17#13079548C211yesmaximal, characteristic, complemented
18#13079100C211yesmaximal, characteristic, complemented
19#13079091C211yesmaximal, characteristic, complemented
20#13078982C211yesmaximal, characteristic, complemented
21#13078971C211yesmaximal, characteristic, complemented
22#13078107C211yesmaximal, characteristic, complemented
23#13078078C211yesmaximal, characteristic, complemented
24#13078070C211yesmaximal, characteristic, complemented
25D11×#463C211yesmaximal, characteristic, complemented
26#13077935C211yesmaximal, characteristic, complemented
27#13077924C211yesmaximal, characteristic, complemented
28#13077899C211yesmaximal, characteristic, complemented
29#13077881C211yesmaximal, characteristic, complemented
30#13077283C211yesmaximal, characteristic, complemented
31C11×#3219C211yesmaximal, characteristic, complemented
32C2×#67043C2211yescharacteristic
33C2×#67042C2211yescharacteristic
34C11×#532C2211yescharacteristic, complemented
35C11×#529C2211yescharacteristic, complemented
36#10623361C2211yescharacteristic, complemented
37#10623356C2211yescharacteristic, complemented
38C2×#66972C2211yescharacteristic
39C2×#66971C2211yescharacteristic, complemented
40C2×#66969C2211yescharacteristic, complemented
41C2×#66967C2211yescharacteristic
42C2×#66967C2211yescharacteristic
43C2×SD16×D11C2211yescharacteristic, complemented
44C2×#66964C2211yescharacteristic, complemented
45C2×D8×D11C2211yescharacteristic
46#10623255C2211yescharacteristic
47#10623255C2211yescharacteristic, complemented
48#10623246C2211yescharacteristic
49#10623246C2211yescharacteristic, complemented
50#10623241—21no—
51#10623235—21no—
52#10623229C2211yescharacteristic, complemented
53#10623220C2211yescharacteristic, complemented
54#10623213C2211yescharacteristic, complemented
55#10623205C2211yescharacteristic, complemented
56D11×#124C2211yescharacteristic
57D11×#124C2211yescharacteristic, complemented
58#10623199C2211yescharacteristic
59#10623199C2211yescharacteristic, complemented
60#10623194—21no—
61#10623188—21no—
62#10623174C2211yescharacteristic, complemented
63#10623160C2211yescharacteristic
64#10623150C2211yescharacteristic, complemented
65#10623141—21no—
66#10623141—21no—
67#10623141—21no—
68#10623141—21no—
69#10623138C2211yescharacteristic
70#10623111C2211yescharacteristic, complemented
71C4×#4343C2211yescharacteristic, complemented
72#10623083—21no—
73#10623083—21no—
74#10623081—21no—
75#10623081—21no—
76#10623079—21no—
77#10623079C2211yescharacteristic, complemented
78#10623078—21no—
79C4×D4×D11C2211yescharacteristic, complemented
80#10623059—21no—
81#10623055—21no—
82#10623008C2211yescharacteristic, complemented
83C2×#66928C2211yescharacteristic, complemented
84C4×#4339C2211yescharacteristic
85C11×#497C2211yescharacteristic, complemented
86C11×#496C2211yescharacteristic, complemented
87C11×#491C2211yescharacteristic, complemented
88C11×#490C2211yescharacteristic, complemented
89C11×#464C2211yescharacteristic, complemented
90C11×#464C2211yescharacteristic, complemented
91C11×#463C2211yescharacteristic, complemented
92C11×#463C2211yescharacteristic, complemented
93C11×#452C2211yescharacteristic, complemented
94C11×#452C2211yescharacteristic, complemented
95C11×#449C2211yescharacteristic
96C11×#449C2211yescharacteristic, complemented
97C11×#432C2211yescharacteristic, complemented
98#10622851C2211yescharacteristic
99#10622851C2211yescharacteristic, complemented
100#10622851C2211yescharacteristic, complemented
101#10622851C2211yescharacteristic, complemented
102#10622804C2211yescharacteristic, complemented
103#10622803C2211yescharacteristic, complemented
104#10622800C2211yescharacteristic, complemented
105#10622799C2211yescharacteristic, complemented
106#10622798C2211yescharacteristic, complemented
107#10622795C2211yescharacteristic, complemented
108#10622789C2211yescharacteristic, complemented
109#10622789C2211yescharacteristic, complemented
110#10622788C2211yescharacteristic, complemented
111#10622786C2211yescharacteristic, complemented
112#10622785C2211yescharacteristic
113#10622783C2211yescharacteristic, complemented
114#10622782C2211yescharacteristic, complemented
115#10622781C2211yescharacteristic, complemented
116#10622779C2211yescharacteristic, complemented
117#10622778C2211yescharacteristic, complemented
118#10622776C2211yescharacteristic, complemented
119#10622775C2211yescharacteristic, complemented
120#10622771C2211yescharacteristic, complemented
121#10622769C2211yescharacteristic
122#10622767C2211yescharacteristic, complemented
123#10622766C2211yescharacteristic, complemented
124#10622764C2211yescharacteristic, complemented
125#10622763C2211yescharacteristic, complemented
126#10622698C2211yescharacteristic, complemented
127#10622694C2211yescharacteristic, complemented
128#10622686C2211yescharacteristic, complemented
129#10622683C2211yescharacteristic, complemented
130#10622681C2211yescharacteristic, complemented
131#10622681C2211yescharacteristic, complemented
132#10622672C2211yescharacteristic, complemented
133#10622672C2211yescharacteristic, complemented
134#10622670C2211yescharacteristic, complemented
135#10622670C2211yescharacteristic, complemented
136#10622670C2211yescharacteristic, complemented
137#10622670C2211yescharacteristic, complemented
138#10622663C2211yescharacteristic, complemented
139#10622659C2211yescharacteristic, complemented
140#10622653C2211yescharacteristic, complemented
141#10622649C2211yescharacteristic
142#10622641C2211yescharacteristic, complemented
143#10622641C2211yescharacteristic, complemented
144#10622629C2211yescharacteristic, complemented
145#10622629C2211yescharacteristic, complemented
146#10622538C2211yescharacteristic, complemented
147#10622457C2211yescharacteristic, complemented
148#10622457C2211yescharacteristic, complemented
149#10622457C2211yescharacteristic, complemented
150#10622457C2211yescharacteristic, complemented
151#10622450C2211yescharacteristic, complemented
152#10622448C2211yescharacteristic, complemented
153#10622446C2211yescharacteristic, complemented
154D11×C4⋊C8C2211yescharacteristic, complemented
155#10622432C2211yescharacteristic, complemented
156#10622432C2211yescharacteristic, complemented
157#10622431C2211yescharacteristic, complemented
158#10622431C2211yescharacteristic, complemented
159#10622424C2211yescharacteristic
160#10622424C2211yescharacteristic, complemented
161#10622419C2211yescharacteristic, complemented
162#10622419C2211yescharacteristic, complemented
163#10622417C2211yescharacteristic
164#10622416C2211yescharacteristic
165#10622415C2211yescharacteristic, complemented
166D11×#103C2211yescharacteristic, complemented
167#10622413C2211yescharacteristic, complemented
168#10622410C2211yescharacteristic, complemented
169#10622408C2211yescharacteristic, complemented
170#10622405C2211yescharacteristic, complemented
171#10622400C2211yescharacteristic, complemented
172#10622400C2211yescharacteristic, complemented
173#10622399C2211yescharacteristic, complemented
174#10622399C2211yescharacteristic, complemented
175#10622394C2211yescharacteristic, complemented
176#10622394C2211yescharacteristic, complemented
177#10622386C2211yescharacteristic
178#10622386C2211yescharacteristic, complemented
179#10622385C2211yescharacteristic, complemented
180#10622384C2211yescharacteristic, complemented
181#10622383C2211yescharacteristic
182D11×#102C2211yescharacteristic
183#10622381C2211yescharacteristic, complemented
184#10622378C2211yescharacteristic, complemented
185#10622377C2211yescharacteristic, complemented
186#10622373C2211yescharacteristic, complemented
187#10622351C2211yescharacteristic, complemented
188#10622351C2211yescharacteristic, complemented
189#10622345C2211yescharacteristic
190#10622345C2211yescharacteristic, complemented
191#10622340C2211yescharacteristic
192#10622340C2211yescharacteristic
193#10622333C2211yescharacteristic, complemented
194#10622333C2211yescharacteristic, complemented
195#10622327C2211yescharacteristic, complemented
196#10622327C2211yescharacteristic, complemented
197#10622325C2211yescharacteristic, complemented
198#10622325C2211yescharacteristic, complemented
199#10622322C2211yescharacteristic, complemented
200#10622322C2211yescharacteristic, complemented
201#10622321C2211yescharacteristic, complemented
202#10622321C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205#67043—42no—
206#67043—42no—
207#67042—42no—
208#67042—42no—
209C2×#4343C2311yescharacteristic
210C2×#4343C2311yescharacteristic
211C2×#4343C2311yescharacteristic
212C2×Q8×D11C2311yescharacteristic
213C2×Q8×D11C2311yescharacteristic
214C2×#4341—21no—
215C2×#4341—21no—
216C2×#4341C2311yescharacteristic
217C2×#4341C2311yescharacteristic
218C2×D4×D11—21no—
219C2×D4×D11—21no—
220C2×D4×D11C2311yescharacteristic
221C2×D4×D11C2311yescharacteristic
222C2×D4×D11C2311yescharacteristic
223C2×#4339—21no—
224C2×#4339—21no—
225C2×#4339—21no—
226C2×#4339—21no—
227C2×#4339C2311yescharacteristic
228C22×D44—21no—
229C22×D44C2311yescharacteristic
230C22×C4×D11—21no—
231C22×Dic22—21no—
232C22×Dic22C2311yescharacteristic
233C2×C11×Q16C2311yescharacteristic
234C2×C11×Q16C2311yescharacteristic
235C2×C11×SD16C2311yescharacteristic
236C2×C11×SD16C2311yescharacteristic
237C2×C11×SD16C2311yescharacteristic
238C2×C11×SD16C2311yescharacteristic
239C2×C11×D8C2311yescharacteristic
240C2×C11×D8C2311yescharacteristic
241C11×C4⋊Q8C2311yescharacteristic
242C11×#127C2311yescharacteristic
243C11×#126—21no—
244C11×#125C2311yescharacteristic
245C11×#124C2311yescharacteristic
246C11×#124C2311yescharacteristic
247C11×#124C2311yescharacteristic
248C11×#123—21no—
249C11×C22⋊Q8C2311yescharacteristic
250C11×#121—21no—
251C11×#121—21no—
252C11×#121C2311yescharacteristic
253C4×Q8×C11C2311yescharacteristic
254C4×D4×C11—21no—
255C4×D4×C11—21no—
256C4×D4×C11—21no—
257C4×D4×C11C2311yescharacteristic
258C11×#117—21no—
259C2×C42×C11C2311yescharacteristic
260#67000C2311yescharacteristic
261#67000C2311yescharacteristic
262#67000C2311yescharacteristic
263#66999C2311yescharacteristic
264Q8×Dic11C2311yescharacteristic
265#66997C2311yescharacteristic
266#66997C2311yescharacteristic
267C2×#4326C2311yescharacteristic
268C2×#4326C2311yescharacteristic
269C2×#4325C2311yescharacteristic
270C2×#4325C2311yescharacteristic
271C2×#4325C2311yescharacteristic
272C2×#4325C2311yescharacteristic
273C2×#4325C2311yescharacteristic
274C2×#4325C2311yescharacteristic
275#66993—21no—
276#66993C2311yescharacteristic
277#66993C2311yescharacteristic
278#66993C2311yescharacteristic
279#66992—21no—
280#66992—21no—
281#66992—21no—
282#66992—21no—
283#66992—21no—
284#66991—21no—
285#66991C2311yescharacteristic
286#66990—21no—
287#66990—21no—
288#66990—21no—
289#66990—21no—
290#66990—21no—
291#66990—21no—
292#66990—21no—
293#66989C2311yescharacteristic
294#66989C2311yescharacteristic
295#66988—21no—
296#66988—21no—
297D4×Dic11C2311yescharacteristic
298C2×#4324C2311yescharacteristic
299C2×#4324C2311yescharacteristic
300C2×#4323C2311yescharacteristic
301C2×#4323C2311yescharacteristic
302C2×#4323C2311yescharacteristic
303C2×#4323C2311yescharacteristic
304C2×#4323C2311yescharacteristic
305C2×#4323C2311yescharacteristic
306#66983—21no—
307#66983—21no—
308#66983—21no—
309#66983C2311yescharacteristic
310#66983C2311yescharacteristic
311C4×C22⋊D11—21no—
312C4×C22⋊D11—21no—
313C4×C22⋊D11D411yescharacteristic
314C4×C22⋊D11D411yescharacteristic
315C4×C22⋊D11D411yescharacteristic
316C4×C22⋊D11D411yescharacteristic
317C2×(C2×D11)⋊C4—21no—
318C2×(C2×D11)⋊C4—21no—
319#66979C2311yescharacteristic
320#66977—21no—
321#66977—21no—
322#66972—42no—
323#66971—42no—
324#66969—42no—
325#66967—42no—
326#66967—42no—
327SD16×D11—42no—
328#66964—42no—
329D8×D11—42no—
330C2×D88C2311yescharacteristic
331C2×D88C2311yescharacteristic
332C2×D88C2311yescharacteristic
333C2×D88C2311yescharacteristic
334C2×#4314C2311yescharacteristic
335C2×#4314C2311yescharacteristic
336C2×#4314C2311yescharacteristic
337C2×#4314C2311yescharacteristic
338C2×#4313C2311yescharacteristic
339C2×#4313C2311yescharacteristic
340C2×C8×D11C2311yescharacteristic
341C2×C8×D11C2311yescharacteristic
342#66951—21no—
343#66951—21no—
344#66950—21no—
345#66950—21no—
346#66949—21no—
347#66949—21no—
348#66949—21no—
349#66949—21no—
350#66949—21no—
351#66949—21no—
352#66948—21no—
353#66948—21no—
354#66948—21no—
355#66948C2311yescharacteristic
356#66948C2311yescharacteristic
357#66947—21no—
358#66947—21no—
359#66947—21no—
360#66947—21no—
361#66947—21no—
362#66947—21no—
363#66947—21no—
364#66946—21no—
365#66946C2311yescharacteristic
366#66946C2311yescharacteristic
367#66945—21no—
368#66945C2311yescharacteristic
369C4⋊C4×D11C2311yescharacteristic
370#66943C2311yescharacteristic
371#66942—21no—
372#66941—21no—
373#66941C2311yescharacteristic
374#66939—21no—
375#66939—21no—
376#66938—21no—
377#66938—21no—
378#66938—21no—
379#66938—21no—
380#66938—21no—
381#66938—21no—
382#66938—21no—
383#66938—21no—
384#66937—21no—
385#66937—21no—
386#66937—21no—
387#66937—21no—
388#66937—21no—
389#66937—21no—
390#66937—21no—
391#66937—21no—
392#66937—21no—
393#66936—21no—
394#66936—21no—
395#66935—21no—
396#66935—21no—
397#66935—21no—
398(C22⋊D11)⋊C4—21no—
399(C22⋊D11)⋊C4—21no—
400(C22⋊D11)⋊C4—21no—
401(C22⋊D11)⋊C4—21no—
402(C22⋊D11)⋊C4—21no—
403C22⋊C4×D11—21no—
404C22⋊C4×D11—21no—
405C22⋊C4×D11—21no—
406C22⋊C4×D11—21no—
407C22⋊C4×D11—21no—
408#66932—21no—
409#66931—21no—
410#66928—21no—
411#66928—21no—
412#66928—21no—
413#66928C2311yescharacteristic
414#66928C2311yescharacteristic
415#66928C2311yescharacteristic
416#66928C2311yescharacteristic
417#66927C2311yescharacteristic
418C4×D44—21no—
419C4×D44—21no—
420C4×D44—21no—
421C4×D44D411yescharacteristic
422C4×D44D411yescharacteristic
423C4×D44C2311yescharacteristic
424C4×D44C2311yescharacteristic
425#66925—21no—
426#66925C2311yescharacteristic
427#66925C2311yescharacteristic
428C42×D11—21no—
429C42×D11C2311yescharacteristic
430C42×D11C2311yescharacteristic
431#66922C2311yescharacteristic
432C4×Dic22D411yescharacteristic
433C4×Dic22D411yescharacteristic
434C11×C4⋊C8C2311yescharacteristic
435C11×C4⋊C8C2311yescharacteristic
436C11×#103C2311yescharacteristic
437C11×#103C2311yescharacteristic
438C11×#103C2311yescharacteristic
439C11×#103C2311yescharacteristic
440C11×#102C2311yescharacteristic
441C11×#102C2311yescharacteristic
442C11×#102C2311yescharacteristic
443C11×#102C2311yescharacteristic
444C11×C22⋊C8C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446C11×#97C2311yescharacteristic
447C11×#97C2311yescharacteristic
448#66899C2311yescharacteristic
449#66899C2311yescharacteristic
450#66899C2311yescharacteristic
451#66899C2311yescharacteristic
452#66896C2311yescharacteristic
453#66896C2311yescharacteristic
454#66896C2311yescharacteristic
455#66896C2311yescharacteristic
456C22⋊(C11⋊C8)C2311yescharacteristic
457C22⋊(C11⋊C8)C2311yescharacteristic
458#66885C2311yescharacteristic
459#66885C2311yescharacteristic
460#66885C2311yescharacteristic
461#66885C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464(C2×D11)⋊C8C2311yescharacteristic
465(C2×D11)⋊C8C2311yescharacteristic
466#66880C2311yescharacteristic
467#66880C2311yescharacteristic
468#66880C2311yescharacteristic
469#66880C2311yescharacteristic
470#66879C2311yescharacteristic
471#66879C2311yescharacteristic
472Dic11⋊C8C2311yescharacteristic
473Dic11⋊C8C2311yescharacteristic
474Dic11⋊C8C2311yescharacteristic
475Dic11⋊C8C2311yescharacteristic
476C8×Dic11C2311yescharacteristic
477C8×Dic11C2311yescharacteristic
478#66874C2311yescharacteristic
479#66874C2311yescharacteristic
480#66874C2311yescharacteristic
481#66874C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66873C2311yescharacteristic
485#66873C2311yescharacteristic
486C4⋊(C11⋊C8)C2311yescharacteristic
487C4⋊(C11⋊C8)C2311yescharacteristic
488C4×C11⋊C8C2311yescharacteristic
489C4×C11⋊C8C2311yescharacteristic
490#60834—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C23×D11—21no—
495C11×#41—41no—
496C11×#41—41no—
497C11×#41—41no—
498C11×#41—41no—
499C2×Q8×C11C2411yescharacteristic
500C2×Q8×C11C2411yescharacteristic
501C2×Q8×C11C2411yescharacteristic
502C2×D4×C11—21no—
503C2×D4×C11—21no—
504C2×D4×C11—21no—
505C2×D4×C11—21no—
506C2×D4×C11—21no—
507C2×D4×C11C2411yescharacteristic
508C2×D4×C11C2411yescharacteristic
509C2×D4×C11C2411yescharacteristic
510C22×C4×C11—21no—
511C22×C4×C11—21no—
512C22×C4×C11—21no—
513C22×C4×C11C2×D411yescharacteristic
514C22×C4×C11C2×D411yescharacteristic
515C22×C4×C11C2411yescharacteristic
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—21no—
527C2×C22⋊D11—21no—
528C2×C22⋊D11—21no—
529C2×C22⋊D11—21no—
530C2×C22⋊D11C2×D411yescharacteristic
531C2×C22⋊D11C2×D411yescharacteristic
532C22×Dic11—21no—
533C22×Dic11—21no—
534C22×Dic11—21no—
535C22×Dic11—21no—
536#4343—22no—
537#4343—22no—
538#4343—22no—
539#4343—22no—
540#4343—41no—
541#4343—41no—
542Q8×D11—22no—
543Q8×D11—22no—
544Q8×D11—41no—
545Q8×D11—41no—
546#4341—22no—
547#4341—22no—
548#4341—41no—
549#4341—41no—
550#4341—44no—
551#4341—44no—
552D4×D11—22no—
553D4×D11—22no—
554D4×D11—22no—
555D4×D11—22no—
556D4×D11—41no—
557D4×D11—41no—
558D4×D11—44no—
559D4×D11—44no—
560#4339—22no—
561#4339—22no—
562#4339—44no—
563#4339—44no—
564#4339—82no—
565#4339—82no—
566C2×D44—21no—
567C2×D44—21no—
568C2×D44—21no—
569C2×D44—21no—
570C2×D44—21no—
571C2×D44—21no—
572C2×D44—21no—
573C2×D44—21no—
574C2×D44—41no—
575C2×D44—41no—
576C2×D44—44no—
577C2×D44C2×D411yescharacteristic
578C2×D44C2411yescharacteristic
579C2×D44C2411yescharacteristic
580C2×D44C2411yescharacteristic
581C2×D44C2411yescharacteristic
582C2×C4×D11—21no—
583C2×C4×D11—21no—
584C2×C4×D11—21no—
585C2×C4×D11—21no—
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—21no—
589C2×C4×D11—21no—
590C2×C4×D11—21no—
591C2×C4×D11—21no—
592C2×C4×D11—82no—
593C2×C4×D11C2×D411yescharacteristic
594C2×C4×D11C2×D411yescharacteristic
595C2×C4×D11C2×D411yescharacteristic
596C2×C4×D11C2×D411yescharacteristic
597C2×C4×D11C2411yescharacteristic
598C2×C4×D11C2411yescharacteristic
599C2×Dic22—21no—
600C2×Dic22—21no—
601C2×Dic22—21no—
602C2×Dic22—21no—
603C2×Dic22—21no—
604C2×Dic22—41no—
605C2×Dic22—41no—
606C2×Dic22—44no—
607C2×Dic22C2×D411yescharacteristic
608C2×Dic22C2411yescharacteristic
609C2×Dic22C2411yescharacteristic
610C11×Q16—41no—
611C11×Q16—41no—
612C11×SD16—41no—
613C11×SD16—41no—
614C11×SD16—41no—
615C11×SD16—41no—
616C11×D8—41no—
617C11×D8—41no—
618C2×C8×C11C2411yescharacteristic
619C2×C8×C11C2411yescharacteristic
620C2×C8×C11C2411yescharacteristic
621C2×C8×C11C2411yescharacteristic
622C11×C4⋊C4—21no—
623C11×C4⋊C4—21no—
624C11×C4⋊C4—21no—
625C11×C4⋊C4—21no—
626C11×C4⋊C4—21no—
627C11×C4⋊C4—21no—
628C11×C4⋊C4C2411yescharacteristic
629C11×C4⋊C4C2411yescharacteristic
630C11×C22⋊C4—21no—
631C11×C22⋊C4—21no—
632C11×C22⋊C4—21no—
633C11×C22⋊C4—21no—
634C11×C22⋊C4—21no—
635C11×C22⋊C4—21no—
636C11×C22⋊C4—21no—
637C11×C22⋊C4—21no—
638C11×C22⋊C4—21no—
639C42×C11—21no—
640C42×C11C2×D411yescharacteristic
641C42×C11C2×D411yescharacteristic
642C42×C11C2411yescharacteristic
643C42×C11C2411yescharacteristic
644C22⋊Dic11—21no—
645C22⋊Dic11—21no—
646C22⋊Dic11—21no—
647C22⋊Dic11—21no—
648C22⋊Dic11—21no—
649C22⋊Dic11—21no—
650C22⋊Dic11C2×D411yescharacteristic
651C22⋊Dic11C2×D411yescharacteristic
652#4326—41no—
653#4326—41no—
654#4325—41no—
655#4325—41no—
656#4325—41no—
657#4325—41no—
658#4325—41no—
659#4325—41no—
660#4324—41no—
661#4324—41no—
662#4323—41no—
663#4323—41no—
664#4323—41no—
665#4323—41no—
666#4323—41no—
667#4323—41no—
668(C2×D11)⋊C4—21no—
669(C2×D11)⋊C4—21no—
670(C2×D11)⋊C4—21no—
671(C2×D11)⋊C4—21no—
672(C2×D11)⋊C4—21no—
673(C2×D11)⋊C4—21no—
674(C2×D11)⋊C4—21no—
675(C2×D11)⋊C4—21no—
676(C2×D11)⋊C4—21no—
677(C2×D11)⋊C4—21no—
678(C2×D11)⋊C4—21no—
679(C2×D11)⋊C4—21no—
680(C2×D11)⋊C4—21no—
681(C2×D11)⋊C4—21no—
682(C2×D11)⋊C4—21no—
683(C2×D11)⋊C4—21no—
684(C2×D11)⋊C4—21no—
685(C2×D11)⋊C4—21no—
686(C2×D11)⋊C4—21no—
687(C2×D11)⋊C4—21no—
688(C2×D11)⋊C4—21no—
689(C2×D11)⋊C4—21no—
690(C2×D11)⋊C4—21no—
691(C2×D11)⋊C4—21no—
692(C2×D11)⋊C4C2×D411yescharacteristic
693(C2×D11)⋊C4C2×D411yescharacteristic
694(C2×D11)⋊C4C2×D411yescharacteristic
695(C2×D11)⋊C4C2×D411yescharacteristic
696C4⋊Dic11—21no—
697C4⋊Dic11—21no—
698C4⋊Dic11—21no—
699C4⋊Dic11C2×D411yescharacteristic
700C4⋊Dic11C2×D411yescharacteristic
701C4⋊Dic11C2411yescharacteristic
702C4⋊Dic11C2411yescharacteristic
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4—21no—
711Dic11⋊C4C2×D411yescharacteristic
712Dic11⋊C4C2×D411yescharacteristic
713Dic11⋊C4C2×D411yescharacteristic
714Dic11⋊C4C2×D411yescharacteristic
715C4×Dic11—21no—
716C4×Dic11—21no—
717C4×Dic11C2×D411yescharacteristic
718C4×Dic11C2×D411yescharacteristic
719C4×Dic11C2×D411yescharacteristic
720C4×Dic11C2×D411yescharacteristic
721C4×Dic11C2411yescharacteristic
722C4×Dic11C2411yescharacteristic
723C2×C11⋊C8C2411yescharacteristic
724C2×C11⋊C8C2411yescharacteristic
725C2×C11⋊C8C2411yescharacteristic
726C2×C11⋊C8C2411yescharacteristic
727D88—41no—
728D88—41no—
729D88—41no—
730D88—41no—
731#4314—41no—
732#4314—41no—
733#4314—41no—
734#4314—41no—
735#4313—22no—
736#4313—22no—
737C8×D11—22no—
738C8×D11—22no—
739#3500—111no—
740#3460—111no—
741#3225—111no—
742#3225—111no—
743#3224—111no—
744#3224—111no—
745#3221—111no—
746#3221—111no—
747#3220—111no—
748#3220—111no—
749#3219—111no—
750#3219D1111yescharacteristic, complemented
751#3213—111no—
752#3213—111no—
753#3211—111no—
754#3211—111no—
755#3207—111no—
756#3207—111no—
757#3155—111no—
758#3154—111no—
759#3137—111no—
760#3136—111no—
761#3040—111no—
762#3036—111no—
763#3035—111no—
764C2×#463—111no—
765#3013—111no—
766#3012—111no—
767#3010—111no—
768#3008—111no—
769#2925—111no—
770C23×C11—21no—
771C23×C11—21no—
772C23×C11—21no—
773C23×C11C22×D411yescharacteristic
774C22×D11—21no—
775C22×D11—21no—
776C22×D11—21no—
777C22×D11—21no—
778C22×D11—42no—
779C22×D11—42no—
780C22×D11—42no—
781C22×D11—42no—
782C22×D11—81no—
783C22×D11—81no—
784C22×D11—81no—
785C22×D11—81no—
786C22×D11—81no—
787C22×D11—81no—
788C22×D11—81no—
789C22×D11—81no—
790C22×D11C22×D411yescharacteristic
791C22×D11C22×D411yescharacteristic
792Q8×C11—21no—
793Q8×C11—21no—
794Q8×C11—21no—
795Q8×C11—21no—
796Q8×C11—21no—
797Q8×C11—21no—
798D4×C11—21no—
799D4×C11—21no—
800D4×C11—21no—
801D4×C11—21no—
802D4×C11—21no—
803D4×C11—21no—
804D4×C11—42no—
805D4×C11—42no—
806D4×C11—81no—
807D4×C11—81no—
808D4×C11—81no—
809C2×C4×C11—21no—
810C2×C4×C11—21no—
811C2×C4×C11—21no—
812C2×C4×C11—21no—
813C2×C4×C11—21no—
814C2×C4×C11—21no—
815C2×C4×C11—21no—
816C2×C4×C11—41no—
817C2×C4×C11—41no—
818C2×C4×C11—42no—
819C2×C4×C11—42no—
820C2×C4×C11—42no—
821C2×C4×C11C22×D411yescharacteristic
822C2×C4×C11C22×D411yescharacteristic
823C2×C4×C11C22×D411yescharacteristic
824C2×C4×C11C22×D411yescharacteristic
825C2×C4×C11C22×D411yescharacteristic
826C2×C4×C11C2511yescharacteristic
827C22⋊D11—22no—
828C22⋊D11—22no—
829C22⋊D11—42no—
830C22⋊D11—42no—
831C22⋊D11—42no—
832C22⋊D11—42no—
833C22⋊D11—42no—
834C22⋊D11—81no—
835C22⋊D11—81no—
836C22⋊D11—81no—
837C22⋊D11—81no—
838C22⋊D11—81no—
839C22⋊D11—81no—
840C22⋊D11—81no—
841C22⋊D11—81no—
842C22⋊D11—81no—
843C2×Dic11—21no—
844C2×Dic11—21no—
845C2×Dic11—21no—
846C2×Dic11—21no—
847C2×Dic11—42no—
848C2×Dic11—42no—
849C2×Dic11—42no—
850C2×Dic11—81no—
851C2×Dic11C22×D411yescharacteristic
852C2×Dic11C22×D411yescharacteristic
853C2×Dic11C22×D411yescharacteristic
854C2×Dic11C22×D411yescharacteristic
855C2×Dic11C22×D411yescharacteristic
856C2×Dic11C22×D411yescharacteristic
857D44—22no—
858D44—21no—
859D44—21no—
860D44—21no—
861D44—21no—
862D44—21no—
863D44—21no—
864D44—21no—
865D44—21no—
866D44—42no—
867D44—42no—
868D44—42no—
869D44—42no—
870D44—81no—
871D44—81no—
872D44—81no—
873D44—81no—
874C4×D11—21no—
875C4×D11—21no—
876C4×D11—41no—
877C4×D11—41no—
878C4×D11—41no—
879C4×D11—41no—
880C4×D11—42no—
881C4×D11—42no—
882C4×D11—42no—
883C4×D11—42no—
884C4×D11—42no—
885C4×D11—42no—
886C4×D11—42no—
887C4×D11—81no—
888C4×D11—81no—
889C4×D11—81no—
890C4×D11H(5,𝔽2)12yes—
891C4×D11H(5,𝔽2)12yes—
892Dic22—22no—
893Dic22—21no—
894Dic22—21no—
895Dic22—21no—
896Dic22—21no—
897Dic22—42no—
898Dic22—42no—
899Dic22—42no—
900Dic22—81no—
901Dic22—81no—
902C8×C11—21no—
903C8×C11—21no—
904C8×C11—21no—
905C8×C11—21no—
906C11⋊C8—21no—
907C11⋊C8—21no—
908C11⋊C8—21no—
909C11⋊C8—21no—
910C2×2−1+4—111no—
911C2×H(5,𝔽2)—111no—
912C2×#137—111no—
913C2×AGL(1,ℤ/8)—111no—
914C2×AGL(1,ℤ/8)—111no—
915C2×AGL(1,ℤ/8)—111no—
916C2×#135—111no—
917C2×#135—111no—
918C22×SD16—111no—
919C22×D8—111no—
920#548—221no—
921#548—221no—
922#546—221no—
923#546—221no—
924#546—221no—
925#546—221no—
926#546—221no—
927#546—221no—
928#544—111no—
929#542—111no—
930#542—111no—
931#542—221no—
932#540—111no—
933#540—111no—
934#540—221no—
935#538—221no—
936#538—221no—
937#537—111no—
938#536—111no—
939#536—111no—
940#536—111no—
941#535—111no—
942#535—111no—
943#535—111no—
944#535—111no—
945#535—111no—
946#532—111no—
947#532—111no—
948#532—111no—
949#532—111no—
950#532—221no—
951#532C2×D1111yescharacteristic, complemented
952#529—111no—
953#529—221no—
954#529C2×D1111yescharacteristic, complemented
955C2×#124—111no—
956C2×#124—111no—
957C2×#124—111no—
958#525—221no—
959#525—221no—
960C4×#41—111no—
961C4×#41—111no—
962C2×C4×D4—111no—
963#497—111no—
964#497C2×D1111yescharacteristic, complemented
965#496—111no—
966#496—111no—
967#496—111no—
968#496—111no—
969#496—111no—
970#496C2×D1111yescharacteristic, complemented
971#495—111no—
972#495—111no—
973#495—111no—
974#495—111no—
975#493—111no—
976#493—111no—
977#492—111no—
978#492—111no—
979#491—111no—
980#491C2×D1111yescharacteristic, complemented
981#490—111no—
982#490C2×D1111yescharacteristic, complemented
983#489—111no—
984#489—111no—
985#489—111no—
986#489—111no—
987#488—111no—
988#488—111no—
989#488—111no—
990#488—111no—
991#487—111no—
992#487—111no—
993#486—111no—
994#486—111no—
995#464—111no—
996#464—111no—
997#464—111no—
998#464—111no—
999#464C2×D1111yescharacteristic, complemented
1000#464C2×D1111yescharacteristic, complemented
1001#463—111no—
1002#463—111no—
1003#463—111no—
1004#463—111no—
1005#463—111no—
1006#463—111no—
1007#463—111no—
1008#463—111no—
1009#463—111no—
1010#463—111no—
1011#463—111no—
1012#463—111no—
1013#463—111no—
1014#463—111no—
1015#463—111no—
1016#463—111no—
1017#463C2×D1111yescharacteristic, complemented
1018#463C2×D1111yescharacteristic, complemented
1019#462—111no—
1020#461—111no—
1021#461—111no—
1022#461—111no—
1023#460—111no—
1024#459—111no—
1025#459—111no—
1026#459—111no—
1027#452—111no—
1028#452—111no—
1029#452C2×D1111yescharacteristic, complemented
1030#452C2×D1111yescharacteristic, complemented
1031#451—111no—
1032#451—111no—
1033#450—111no—
1034#450—111no—
1035#449—111no—
1036#449—111no—
1037#449—111no—
1038#449—111no—
1039#449—111no—
1040#449—111no—
1041#449—111no—
1042#449—111no—
1043#449—111no—
1044#449—111no—
1045#449C2×D1111yescharacteristic
1046#449C2×D1111yescharacteristic, complemented
1047#448—111no—
1048#448—111no—
1049#448—111no—
1050#448—111no—
1051#448—111no—
1052#448—111no—
1053#447—111no—
1054#447—111no—
1055#447—111no—
1056#447—111no—
1057#447—111no—
1058#447—111no—
1059#433—111no—
1060#433—111no—
1061#433—111no—
1062#433—111no—
1063#432—111no—
1064#432C2×D1111yescharacteristic, complemented
1065#431—111no—
1066#431—111no—
1067#423—111no—
1068C2×C4⋊C8—111no—
1069#419—111no—
1070#418—111no—
1071#417—111no—
1072#417—111no—
1073#416—111no—
1074#416—111no—
1075C2×#103—111no—
1076C2×#102—111no—
1077#408—111no—
1078#408—111no—
1079#405—111no—
1080#405—111no—
1081C22×C11—21no—
1082C22×C11—21no—
1083C22×C11—21no—
1084C22×C11—41no—
1085C22×C11—41no—
1086C22×C11—41no—
1087C22×C11—41no—
1088C22×C11—41no—
1089C22×C11—41no—
1090C22×C11—41no—
1091C22×C11—41no—
1092C22×C11—41no—
1093C22×C11C23×D411yescharacteristic
1094C2×D11—21no—
1095C2×D11—21no—
1096C2×D11—21no—
1097C2×D11—21no—
1098C2×D11—21no—
1099C2×D11—41no—
1100C2×D11—41no—
1101C2×D11—41no—
1102C2×D11—41no—
1103C2×D11—41no—
1104C2×D11—41no—
1105C2×D11—41no—
1106C2×D11—41no—
1107C2×D11—41no—
1108C2×D11—41no—
1109C2×D11—41no—
1110C2×D11—41no—
1111C2×D11—84no—
1112C2×D11—162no—
1113C2×D11—162no—
1114C2×D11—162no—
1115C2×D11#53512yes—
1116C4×C11—21no—
1117C4×C11—21no—
1118C4×C11—21no—
1119C4×C11—21no—
1120C4×C11—21no—
1121C4×C11—41no—
1122C4×C11—41no—
1123C4×C11—41no—
1124C4×C11—41no—
1125C4×C11—41no—
1126C4×C11C2×H(5,𝔽2)11yescharacteristic
1127C4×C11C2×H(5,𝔽2)11yescharacteristic
1128Dic11—21no—
1129Dic11—21no—
1130Dic11—21no—
1131Dic11—21no—
1132Dic11—21no—
1133Dic11—41no—
1134Dic11—41no—
1135Dic11—41no—
1136Dic11—41no—
1137Dic11#53512yes—
11382−1+4—442no—
11392−1+4—442no—
1140H(5,𝔽2)—442no—
1141H(5,𝔽2)—442no—
1142C2×#41—111no—
1143C2×#41—111no—
1144C2×#41—111no—
1145C2×#41—111no—
1146C2×#41—111no—
1147C2×#41—111no—
1148C2×#41—221no—
1149C2×#41—221no—
1150C2×#41—221no—
1151C2×#41—221no—
1152C2×#41—221no—
1153C2×#41—221no—
1154C2×#41C22×D1111yescharacteristic
1155C2×#41C22×D1111yescharacteristic
1156C22×Q8—111no—
1157C22×Q8—111no—
1158C22×Q8—111no—
1159C22×Q8—221no—
1160C22×D4—111no—
1161C22×D4—111no—
1162C22×D4—111no—
1163C22×D4—111no—
1164C22×D4—221no—
1165C22×D4—221no—
1166C22×D4—221no—
1167C23×C4—221no—
1168#137—442no—
1169AGL(1,ℤ/8)—442no—
1170AGL(1,ℤ/8)—442no—
1171AGL(1,ℤ/8)—442no—
1172#135—442no—
1173#135—442no—
1174C2×Q16—111no—
1175C2×Q16—111no—
1176C2×Q16C22×D1111yescharacteristic
1177C2×Q16C22×D1111yescharacteristic
1178C2×SD16—111no—
1179C2×SD16—111no—
1180C2×SD16—111no—
1181C2×SD16—111no—
1182C2×SD16—111no—
1183C2×SD16—111no—
1184C2×SD16—111no—
1185C2×SD16—111no—
1186C2×SD16—111no—
1187C2×SD16—111no—
1188C2×SD16—111no—
1189C2×SD16—111no—
1190C2×SD16—442no—
1191C2×SD16C22×D1111yescharacteristic
1192C2×SD16C22×D1111yescharacteristic
1193C2×SD16C22×D1111yescharacteristic
1194C2×SD16C22×D1111yescharacteristic
1195C2×D8—111no—
1196C2×D8—111no—
1197C2×D8—111no—
1198C2×D8—111no—
1199C2×D8—111no—
1200C2×D8—111no—
1201C2×D8—111no—
1202C2×D8—111no—
1203C2×D8—111no—
1204C2×D8—111no—
1205C2×D8—442no—
1206C2×D8C22×D1111yescharacteristic
1207C2×D8C22×D1111yescharacteristic
1208C2×M16—111no—
1209C2×M16—111no—
1210C22×C8—111no—
1211C22×C8—111no—
1212C4⋊Q8—111no—
1213C4⋊Q8—111no—
1214C4⋊Q8—111no—
1215C4⋊Q8—111no—
1216C4⋊Q8—221no—
1217C4⋊Q8C22×D1111yescharacteristic
1218#127—111no—
1219#127—111no—
1220#127—111no—
1221#127—111no—
1222#127—221no—
1223#127C22×D1111yescharacteristic
1224#126—21no—
1225#126—221no—
1226#126—221no—
1227#126—221no—
1228#125—111no—
1229#125—221no—
1230#125C22×D1111yescharacteristic
1231#124—111no—
1232#124—111no—
1233#124—111no—
1234#124—111no—
1235#124—111no—
1236#124—111no—
1237#124—111no—
1238#124—111no—
1239#124—111no—
1240#124—221no—
1241#124—221no—
1242#124—221no—
1243#124—221no—
1244#124—221no—
1245#124—221no—
1246#124—221no—
1247#124—221no—
1248#124—221no—
1249#124—221no—
1250#124—221no—
1251#124C22×D1111yescharacteristic
1252#124C22×D1111yescharacteristic
1253#124C22×D1111yescharacteristic
1254#123—21no—
1255#123—221no—
1256#123—221no—
1257#123—221no—
1258#123—221no—
1259#123—221no—
1260#123—221no—
1261#123—221no—
1262#123—221no—
1263#123—221no—
1264#123—221no—
1265#123—221no—
1266#123—221no—
1267#123—221no—
1268C22⋊Q8—111no—
1269C22⋊Q8—221no—
1270C22⋊Q8—221no—
1271C22⋊Q8—221no—
1272C22⋊Q8—221no—
1273C22⋊Q8—221no—
1274C22⋊Q8—221no—
1275C22⋊Q8—221no—
1276C22⋊Q8—221no—
1277C22⋊Q8—221no—
1278C22⋊Q8—221no—
1279C22⋊Q8—221no—
1280C22⋊Q8C22×D1111yescharacteristic
1281#121—21no—
1282#121—21no—
1283#121—111no—
1284#121—111no—
1285#121—111no—
1286#121—111no—
1287#121—111no—
1288#121—221no—
1289#121—221no—
1290#121—221no—
1291#121—221no—
1292#121—221no—
1293#121—221no—
1294#121—221no—
1295#121—221no—
1296#121—221no—
1297#121—221no—
1298#121—221no—
1299#121—221no—
1300#121—221no—
1301#121—221no—
1302#121—221no—
1303#121—221no—
1304#121—221no—
1305#121—221no—
1306#121—221no—
1307#121—221no—
1308#121—221no—
1309#121C22×D1111yescharacteristic
1310#120—221no—
1311#120—221no—
1312#120—221no—
1313#120—221no—
1314#120—221no—
1315#120—221no—
1316#120—221no—
1317#120—221no—
1318#120—221no—
1319#120—221no—
1320C4×Q8—111no—
1321C4×Q8—111no—
1322C4×Q8—111no—
1323C4×Q8C22×D1111yescharacteristic
1324C4×D4—21no—
1325C4×D4—21no—
1326C4×D4—21no—
1327C4×D4—111no—
1328C4×D4—111no—
1329C4×D4—111no—
1330C4×D4—111no—
1331C4×D4—111no—
1332C4×D4—111no—
1333C4×D4—111no—
1334C4×D4—111no—
1335C4×D4—111no—
1336C4×D4—111no—
1337C4×D4—111no—
1338C4×D4—221no—
1339C4×D4—221no—
1340C4×D4—221no—
1341C4×D4—221no—
1342C4×D4—221no—
1343C4×D4—221no—
1344C4×D4—221no—
1345C4×D4—221no—
1346C4×D4—221no—
1347C4×D4—221no—
1348C4×D4—221no—
1349C4×D4C22×D1111yescharacteristic
1350#117—21no—
1351#117—111no—
1352#117—111no—
1353#117—111no—
1354#117—111no—
1355#117—221no—
1356#117—221no—
1357C2×C4⋊C4—111no—
1358C2×C22⋊C4—221no—
1359C2×C22⋊C4—221no—
1360C2×C22⋊C4—221no—
1361C2×C22⋊C4—221no—
1362C2×C22⋊C4—221no—
1363C2×C22⋊C4—221no—
1364C2×C22⋊C4—221no—
1365C2×C42—111no—
1366C2×C42—111no—
1367C2×C42—221no—
1368C2×C42C22×D1111yescharacteristic
1369C4⋊C8—111no—
1370C4⋊C8—111no—
1371C4⋊C8—111no—
1372C4⋊C8—111no—
1373C4⋊C8—111no—
1374C4⋊C8—111no—
1375C4⋊C8C22×D1111yescharacteristic
1376C4⋊C8C22×D1111yescharacteristic
1377#103—111no—
1378#103—111no—
1379#103—111no—
1380#103—111no—
1381#103—111no—
1382#103—111no—
1383#103—111no—
1384#103—111no—
1385#103—111no—
1386#103—111no—
1387#103—111no—
1388#103—111no—
1389#103C22×D1111yescharacteristic
1390#103C22×D1111yescharacteristic
1391#103C22×D1111yescharacteristic
1392#103C22×D1111yescharacteristic
1393#102—111no—
1394#102—111no—
1395#102—111no—
1396#102—111no—
1397#102—111no—
1398#102—111no—
1399#102—111no—
1400#102—111no—
1401#102—111no—
1402#102—111no—
1403#102—111no—
1404#102—111no—
1405#102C22×D1111yescharacteristic
1406#102C22×D1111yescharacteristic
1407#102C22×D1111yescharacteristic
1408#102C22×D1111yescharacteristic
1409C22⋊C8—111no—
1410C22⋊C8—111no—
1411C22⋊C8—111no—
1412C22⋊C8—111no—
1413C22⋊C8—111no—
1414C22⋊C8—111no—
1415C22⋊C8C22×D1111yescharacteristic
1416C22⋊C8C22×D1111yescharacteristic
1417#97—111no—
1418#97—111no—
1419#97C22×D1111yescharacteristic
1420#97C22×D1111yescharacteristic
1421C4×C8—111no—
1422C4×C8—111no—
1423C4×C8—111no—
1424C4×C8—111no—
1425C2×C11—41no—
1426C2×C11—81no—
1427C2×C11—81no—
1428C2×C11—81no—
1429C2×C11C2×#53511yescharacteristic
1430C2×C11#358411yescharacteristic
1431C2×C11#358511yescharacteristic
1432D11—22no—
1433D11—41no—
1434D11—81no—
1435D11—81no—
1436D11—81no—
1437D11—81no—
1438C24—221no—
1439C24—221no—
1440C24—221no—
1441C24—221no—
1442#41—41no—
1443#41—41no—
1444#41—41no—
1445#41—41no—
1446#41—222no—
1447#41—222no—
1448#41—222no—
1449#41—222no—
1450#41—222no—
1451#41—222no—
1452#41—222no—
1453#41—222no—
1454#41—444no—
1455#41—444no—
1456#41—441no—
1457#41—441no—
1458#41—441no—
1459#41—441no—
1460#41—444no—
1461#41—444no—
1462#41—882no—
1463#41—882no—
1464C2×Q8—111no—
1465C2×Q8—111no—
1466C2×Q8—111no—
1467C2×Q8—221no—
1468C2×Q8—221no—
1469C2×Q8—221no—
1470C2×Q8—222no—
1471C2×Q8—222no—
1472C2×Q8—221no—
1473C2×Q8—221no—
1474C2×Q8—441no—
1475C2×Q8—441no—
1476C2×Q8—444no—
1477C2×Q8—441no—
1478C2×Q8—441no—
1479C2×Q8C23×D1111yescharacteristic
1480C2×Q8C23×D1111yescharacteristic
1481C2×Q8C23×D1111yescharacteristic
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—111no—
1488C2×D4—111no—
1489C2×D4—111no—
1490C2×D4—111no—
1491C2×D4—111no—
1492C2×D4—111no—
1493C2×D4—111no—
1494C2×D4—221no—
1495C2×D4—221no—
1496C2×D4—221no—
1497C2×D4—221no—
1498C2×D4—221no—
1499C2×D4—222no—
1500C2×D4—222no—
1501C2×D4—222no—
1502C2×D4—222no—
1503C2×D4—221no—
1504C2×D4—221no—
1505C2×D4—221no—
1506C2×D4—221no—
1507C2×D4—221no—
1508C2×D4—221no—
1509C2×D4—221no—
1510C2×D4—221no—
1511C2×D4—221no—
1512C2×D4—221no—
1513C2×D4—221no—
1514C2×D4—221no—
1515C2×D4—221no—
1516C2×D4—221no—
1517C2×D4—221no—
1518C2×D4—221no—
1519C2×D4—221no—
1520C2×D4—441no—
1521C2×D4—441no—
1522C2×D4—444no—
1523C2×D4—441no—
1524C2×D4—441no—
1525C2×D4—444no—
1526C2×D4—444no—
1527C2×D4C23×D1111yescharacteristic
1528C2×D4C23×D1111yescharacteristic
1529C2×D4C23×D1111yescharacteristic
1530C22×C4—21no—
1531C22×C4—21no—
1532C22×C4—21no—
1533C22×C4—111no—
1534C22×C4—111no—
1535C22×C4—111no—
1536C22×C4—111no—
1537C22×C4—111no—
1538C22×C4—111no—
1539C22×C4—221no—
1540C22×C4—221no—
1541C22×C4—221no—
1542C22×C4—221no—
1543C22×C4—221no—
1544C22×C4—221no—
1545C22×C4—221no—
1546C22×C4—221no—
1547C22×C4—221no—
1548C22×C4—221no—
1549C22×C4—221no—
1550C22×C4—221no—
1551C22×C4—221no—
1552C22×C4—221no—
1553C22×C4—882no—
1554C22×C4D4×D1111yescharacteristic
1555C22×C4D4×D1111yescharacteristic
1556C22×C4C23×D1111yescharacteristic
1557Q16—41no—
1558Q16—41no—
1559Q16—441no—
1560Q16—441no—
1561SD16—41no—
1562SD16—41no—
1563SD16—41no—
1564SD16—41no—
1565SD16—441no—
1566SD16—441no—
1567SD16—441no—
1568SD16—441no—
1569SD16—441no—
1570SD16—441no—
1571SD16—441no—
1572SD16—441no—
1573SD16—441no—
1574SD16—441no—
1575SD16—441no—
1576SD16—441no—
1577D8—41no—
1578D8—41no—
1579D8—441no—
1580D8—441no—
1581D8—441no—
1582D8—441no—
1583D8—441no—
1584D8—441no—
1585D8—441no—
1586D8—441no—
1587D8—441no—
1588D8—441no—
1589M16—222no—
1590M16—222no—
1591C2×C8—111no—
1592C2×C8—111no—
1593C2×C8—111no—
1594C2×C8—111no—
1595C2×C8—222no—
1596C2×C8—222no—
1597C2×C8C23×D1111yescharacteristic
1598C2×C8C23×D1111yescharacteristic
1599C2×C8C23×D1111yescharacteristic
1600C2×C8C23×D1111yescharacteristic
1601C4⋊C4—21no—
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—111no—
1608C4⋊C4—111no—
1609C4⋊C4—111no—
1610C4⋊C4—111no—
1611C4⋊C4—111no—
1612C4⋊C4—111no—
1613C4⋊C4—111no—
1614C4⋊C4—111no—
1615C4⋊C4—221no—
1616C4⋊C4—221no—
1617C4⋊C4—221no—
1618C4⋊C4—221no—
1619C4⋊C4—221no—
1620C4⋊C4—221no—
1621C4⋊C4—221no—
1622C4⋊C4—221no—
1623C4⋊C4—221no—
1624C4⋊C4—221no—
1625C4⋊C4—221no—
1626C4⋊C4C23×D1111yescharacteristic
1627C4⋊C4C23×D1111yescharacteristic
1628C22⋊C4—21no—
1629C22⋊C4—21no—
1630C22⋊C4—21no—
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—111no—
1638C22⋊C4—111no—
1639C22⋊C4—111no—
1640C22⋊C4—111no—
1641C22⋊C4—111no—
1642C22⋊C4—111no—
1643C22⋊C4—221no—
1644C22⋊C4—221no—
1645C22⋊C4—221no—
1646C22⋊C4—221no—
1647C22⋊C4—221no—
1648C22⋊C4—221no—
1649C22⋊C4—221no—
1650C22⋊C4—221no—
1651C22⋊C4—221no—
1652C22⋊C4—221no—
1653C22⋊C4—221no—
1654C22⋊C4—221no—
1655C22⋊C4—221no—
1656C22⋊C4—221no—
1657C22⋊C4—221no—
1658C22⋊C4—221no—
1659C22⋊C4—221no—
1660C22⋊C4—221no—
1661C22⋊C4—221no—
1662C22⋊C4—221no—
1663C22⋊C4—221no—
1664C22⋊C4—221no—
1665C22⋊C4—221no—
1666C22⋊C4—221no—
1667C22⋊C4—221no—
1668C22⋊C4—221no—
1669C22⋊C4—221no—
1670C22⋊C4—221no—
1671C22⋊C4—221no—
1672C22⋊C4—221no—
1673C42—21no—
1674C42—111no—
1675C42—111no—
1676C42—111no—
1677C42—111no—
1678C42—111no—
1679C42—111no—
1680C42—221no—
1681C42—221no—
1682C42D4×D1111yescharacteristic
1683C42D4×D1111yescharacteristic
1684C42C23×D1111yescharacteristic
1685C42C23×D1111yescharacteristic
1686C11#6083411yescharacteristic, complemented, Sylow
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—111no—
1691C23—111no—
1692C23—221no—
1693C23—221no—
1694C23—221no—
1695C23—221no—
1696C23—442no—
1697C23—442no—
1698C23—442no—
1699C23—442no—
1700C23—881no—
1701C23—881no—
1702C23—881no—
1703C23—881no—
1704C23—881no—
1705C23—881no—
1706C23—881no—
1707C23—881no—
1708C23C2×D4×D1111yescharacteristic
1709Q8—21no—
1710Q8—21no—
1711Q8—21no—
1712Q8—21no—
1713Q8—21no—
1714Q8—21no—
1715Q8—222no—
1716Q8—221no—
1717Q8—221no—
1718Q8—221no—
1719Q8—221no—
1720Q8—442no—
1721Q8—442no—
1722Q8—442no—
1723Q8—881no—
1724Q8—881no—
1725D4—21no—
1726D4—21no—
1727D4—21no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—42no—
1732D4—42no—
1733D4—81no—
1734D4—81no—
1735D4—81no—
1736D4—222no—
1737D4—222no—
1738D4—222no—
1739D4—221no—
1740D4—221no—
1741D4—221no—
1742D4—221no—
1743D4—221no—
1744D4—221no—
1745D4—221no—
1746D4—221no—
1747D4—442no—
1748D4—442no—
1749D4—442no—
1750D4—442no—
1751D4—442no—
1752D4—442no—
1753D4—442no—
1754D4—442no—
1755D4—442no—
1756D4—881no—
1757D4—881no—
1758D4—881no—
1759D4—881no—
1760D4—881no—
1761D4—881no—
1762D4—881no—
1763D4—881no—
1764D4—881no—
1765D4—881no—
1766D4—881no—
1767D4—881no—
1768D4—881no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—41no—
1777C2×C4—41no—
1778C2×C4—42no—
1779C2×C4—42no—
1780C2×C4—42no—
1781C2×C4—111no—
1782C2×C4—112no—
1783C2×C4—112no—
1784C2×C4—111no—
1785C2×C4—111no—
1786C2×C4—111no—
1787C2×C4—111no—
1788C2×C4—111no—
1789C2×C4—221no—
1790C2×C4—221no—
1791C2×C4—221no—
1792C2×C4—221no—
1793C2×C4—221no—
1794C2×C4—221no—
1795C2×C4—441no—
1796C2×C4—441no—
1797C2×C4—441no—
1798C2×C4—441no—
1799C2×C4—442no—
1800C2×C4—442no—
1801C2×C4—442no—
1802C2×C4—442no—
1803C2×C4—442no—
1804C2×C4—442no—
1805C2×C4—442no—
1806C2×C4—442no—
1807C2×C4—442no—
1808C2×C4—442no—
1809C2×C4—881no—
1810C2×C4—881no—
1811C2×C4—881no—
1812C2×C4—881no—
1813C2×C4C2×D4×D1111yescharacteristic
1814C2×C4C2×D4×D1111yescharacteristic
1815C2×C4C2×D4×D1111yescharacteristic
1816C2×C4C2×D4×D1111yescharacteristic
1817C2×C4C2×D4×D1111yescharacteristic
1818C2×C4C24×D1111yescharacteristic
1819C8—21no—
1820C8—21no—
1821C8—21no—
1822C8—21no—
1823C8—221no—
1824C8—221no—
1825C8—221no—
1826C8—221no—
1827C22—21no—
1828C22—21no—
1829C22—21no—
1830C22—41no—
1831C22—41no—
1832C22—41no—
1833C22—41no—
1834C22—41no—
1835C22—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—112no—
1840C22—221no—
1841C22—221no—
1842C22—221no—
1843C22—221no—
1844C22—221no—
1845C22—441no—
1846C22—441no—
1847C22—441no—
1848C22—441no—
1849C22—441no—
1850C22—441no—
1851C22—441no—
1852C22—441no—
1853C22—441no—
1854C22—441no—
1855C22—441no—
1856C22—441no—
1857C22—884no—
1858C22—1762no—
1859C22—1762no—
1860C22—1762no—
1861C22C22×D4×D1111yescharacteristic
1862C4—21no—
1863C4—21no—
1864C4—21no—
1865C4—21no—
1866C4—21no—
1867C4—41no—
1868C4—41no—
1869C4—41no—
1870C4—41no—
1871C4—41no—
1872C4—112no—
1873C4—221no—
1874C4—221no—
1875C4—221no—
1876C4—221no—
1877C4—221no—
1878C4—441no—
1879C4—441no—
1880C4—441no—
1881C4—441no—
1882C4D11×H(5,𝔽2)11yescharacteristic
1883C4D11×H(5,𝔽2)11yescharacteristic
1884C2—41no—
1885C2—81no—
1886C2—81no—
1887C2—81no—
1888C2—222no—
1889C2—441no—
1890C2—881no—
1891C2—881no—
1892C2—881no—
1893C2—881no—
1894C2D11×#53511yescharacteristic
1895C2#1308338911yescharacteristic
1896C2#1308339311yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3219C2
socleC22×C11C23×D4
hypercenter#3219D11
hypocenterC11#60834
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3219

Complements

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

NH ≅ G/Ntype
1. #13082403C2semidirect
2. #13082037C2semidirect
3. #13079729C2semidirect
4. #13079720C2semidirect
5. #13079716C2semidirect
6. #13079705C2semidirect
7. #13079678C2semidirect
8. #13079675C2semidirect
9. #13079667C2semidirect
10. #13079664C2semidirect
11. #13079658C2semidirect
12. #13079605C2semidirect
13. #13079601C2semidirect
14. #13079585C2semidirect
15. #13079577C2semidirect
16. #13079549C2semidirect
17. #13079548C2semidirect
18. #13079100C2semidirect
19. #13079091C2semidirect
20. #13078982C2semidirect
21. #13078971C2semidirect
22. #13078107C2semidirect
23. #13078078C2semidirect
24. #13078070C2semidirect
25. D11×#463C2semidirect
26. #13077935C2semidirect
27. #13077924C2semidirect
28. #13077899C2semidirect
29. #13077881C2semidirect
30. #13077283C2semidirect
31. C11×#3219C2semidirect
34. C11×#532C22semidirect
35. C11×#529C22semidirect
36. #10623361C22semidirect
37. #10623356C22semidirect
39. C2×#66971C22semidirect
40. C2×#66969C22semidirect
43. C2×SD16×D11C22semidirect
44. C2×#66964C22semidirect
47. #10623255C22semidirect
49. #10623246C22semidirect
52. #10623229C22semidirect
53. #10623220C22semidirect
54. #10623213C22semidirect
55. #10623205C22semidirect
57. D11×#124C22semidirect
59. #10623199C22semidirect
62. #10623174C22semidirect
64. #10623150C22semidirect
70. #10623111C22semidirect
71. C4×#4343C22semidirect
77. #10623079C22semidirect
79. C4×D4×D11C22semidirect
82. #10623008C22semidirect
83. C2×#66928C22semidirect
85. C11×#497C22semidirect
86. C11×#496C22semidirect
87. C11×#491C22semidirect
88. C11×#490C22semidirect
89. C11×#464C22semidirect
90. C11×#464C22semidirect
91. C11×#463C22semidirect
92. C11×#463C22semidirect
93. C11×#452C22semidirect
94. C11×#452C22semidirect
96. C11×#449C22semidirect
97. C11×#432C22semidirect
99. #10622851C22semidirect
100. #10622851C22semidirect
101. #10622851C22semidirect
102. #10622804C22semidirect
103. #10622803C22semidirect
104. #10622800C22semidirect
105. #10622799C22semidirect
106. #10622798C22semidirect
107. #10622795C22semidirect
108. #10622789C22semidirect
109. #10622789C22semidirect
110. #10622788C22semidirect
111. #10622786C22semidirect
113. #10622783C22semidirect
114. #10622782C22semidirect
115. #10622781C22semidirect
116. #10622779C22semidirect
117. #10622778C22semidirect
118. #10622776C22semidirect
119. #10622775C22semidirect
120. #10622771C22semidirect
122. #10622767C22semidirect
123. #10622766C22semidirect
124. #10622764C22semidirect
125. #10622763C22semidirect
126. #10622698C22semidirect
127. #10622694C22semidirect
128. #10622686C22semidirect
129. #10622683C22semidirect
130. #10622681C22semidirect
131. #10622681C22semidirect
132. #10622672C22semidirect
133. #10622672C22semidirect
134. #10622670C22semidirect
135. #10622670C22semidirect
136. #10622670C22semidirect
137. #10622670C22semidirect
138. #10622663C22semidirect
139. #10622659C22semidirect
140. #10622653C22semidirect
142. #10622641C22semidirect
143. #10622641C22semidirect
144. #10622629C22semidirect
145. #10622629C22semidirect
146. #10622538C22semidirect
147. #10622457C22semidirect
148. #10622457C22semidirect
149. #10622457C22semidirect
150. #10622457C22semidirect
151. #10622450C22semidirect
152. #10622448C22semidirect
153. #10622446C22semidirect
154. D11×C4⋊C8C22semidirect
155. #10622432C22semidirect
156. #10622432C22semidirect
157. #10622431C22semidirect
158. #10622431C22semidirect
160. #10622424C22semidirect
161. #10622419C22semidirect
162. #10622419C22semidirect
165. #10622415C22semidirect
166. D11×#103C22semidirect
167. #10622413C22semidirect
168. #10622410C22semidirect
169. #10622408C22semidirect
170. #10622405C22semidirect
171. #10622400C22semidirect
172. #10622400C22semidirect
173. #10622399C22semidirect
174. #10622399C22semidirect
175. #10622394C22semidirect
176. #10622394C22semidirect
178. #10622386C22semidirect
179. #10622385C22semidirect
180. #10622384C22semidirect
183. #10622381C22semidirect
184. #10622378C22semidirect
185. #10622377C22semidirect
186. #10622373C22semidirect
187. #10622351C22semidirect
188. #10622351C22semidirect
190. #10622345C22semidirect
193. #10622333C22semidirect
194. #10622333C22semidirect
195. #10622327C22semidirect
196. #10622327C22semidirect
197. #10622325C22semidirect
198. #10622325C22semidirect
199. #10622322C22semidirect
200. #10622322C22semidirect
201. #10622321C22semidirect
202. #10622321C22semidirect
750. #3219D11semidirect
951. #532C2×D11semidirect
954. #529C2×D11semidirect
964. #497C2×D11semidirect
970. #496C2×D11semidirect
980. #491C2×D11semidirect
982. #490C2×D11semidirect
999. #464C2×D11semidirect
1000. #464C2×D11semidirect
1017. #463C2×D11semidirect
1018. #463C2×D11semidirect
1029. #452C2×D11semidirect
1030. #452C2×D11semidirect
1046. #449C2×D11semidirect
1064. #432C2×D11semidirect
1686. C11#60834semidirect

Maximal subgroups

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

subgroupindex
#130824032
#130820372
#130797292
#130797202
#130797162
#130797052
#130796782
#130796752
#130796672
#130796642
#130796582
#130796052
#130796012
#130795852
#130795772
#130795492
#130795482
#130791002
#130790912
#130789822
#130789712
#130781072
#130780782
#130780702
D11×#4632
#130779352
#130779242
#130778992
#130778812
#130772832
C11×#32192
#6083411