Finite Group Databasebeta

← #15625715

Subgroups — #15625715

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#13082406C211yesmaximal, characteristic, complemented
2#13082030C211yesmaximal, characteristic, complemented
3#13079726C211yesmaximal, characteristic, complemented
4#13079723C211yesmaximal, characteristic, complemented
5#13079711C211yesmaximal, characteristic, complemented
6#13079706C211yesmaximal, characteristic, complemented
7#13079673C211yesmaximal, characteristic, complemented
8#13079672C211yesmaximal, characteristic, complemented
9#13079662C211yesmaximal, characteristic, complemented
10#13079661C211yesmaximal, characteristic, complemented
11#13079655C211yesmaximal, characteristic, complemented
12#13079652C211yesmaximal, characteristic, complemented
13#13079601C211yesmaximal, characteristic, complemented
14#13079581C211yesmaximal, characteristic, complemented
15#13079579C211yesmaximal, characteristic, complemented
16#13079548C211yesmaximal, characteristic, complemented
17#13079545C211yesmaximal, characteristic, complemented
18#13079100C211yesmaximal, characteristic, complemented
19#13079089C211yesmaximal, characteristic, complemented
20#13078978C211yesmaximal, characteristic, complemented
21#13078967C211yesmaximal, characteristic, complemented
22#13078105C211yesmaximal, characteristic, complemented
23#13078078C211yesmaximal, characteristic, complemented
24#13078068C211yesmaximal, characteristic, complemented
25D11×#463C211yesmaximal, characteristic, complemented
26#13077926C211yesmaximal, characteristic, complemented
27#13077915C211yesmaximal, characteristic, complemented
28#13077897C211yesmaximal, characteristic, complemented
29#13077879C211yesmaximal, characteristic, complemented
30#13077283C211yesmaximal, characteristic, complemented
31C11×#3213C211yesmaximal, characteristic, complemented
32C2×#67040C2211yescharacteristic
33C2×#67037C2211yescharacteristic
34C11×#532C2211yescharacteristic, complemented
35C2×C11×#124C2211yescharacteristic, complemented
36#10623363—21no—
37#10623359—21no—
38#10623347C2211yescharacteristic, complemented
39#10623336C2211yescharacteristic, complemented
40C2×#66969C2211yescharacteristic, complemented
41C2×#66968C2211yescharacteristic, complemented
42C2×#66967C2211yescharacteristic, complemented
43C2×SD16×D11C2211yescharacteristic, complemented
44C2×#66965C2211yescharacteristic
45C2×#66964C2211yescharacteristic
46C2×#66964C2211yescharacteristic
47C2×D8×D11C2211yescharacteristic
48#10623264C2211yescharacteristic, complemented
49#10623260C2211yescharacteristic, complemented
50#10623250C2211yescharacteristic, complemented
51#10623246C2211yescharacteristic, complemented
52#10623209—21no—
53#10623208—21no—
54#10623208—21no—
55#10623207—21no—
56#10623207—21no—
57#10623206C2211yescharacteristic
58#10623206C2211yescharacteristic, complemented
59#10623205C2211yescharacteristic
60#10623205C2211yescharacteristic, complemented
61D11×#124C2211yescharacteristic
62D11×#124C2211yescharacteristic, complemented
63#10623200—21no—
64#10623199C2211yescharacteristic
65#10623199C2211yescharacteristic, complemented
66#10623150C2211yescharacteristic, complemented
67#10623146—21no—
68#10623144—21no—
69#10623139C2211yescharacteristic
70#10623138C2211yescharacteristic
71#10623134C2211yescharacteristic, complemented
72#10623088C2211yescharacteristic, complemented
73#10623079C2211yescharacteristic, complemented
74#10623078—21no—
75C4×D4×D11C2211yescharacteristic, complemented
76#10623069—21no—
77C4×#4341C2211yescharacteristic, complemented
78#10623021—21no—
79#10623021—21no—
80#10623021—21no—
81#10623021—21no—
82#10623010C2211yescharacteristic, complemented
83#10623008C2211yescharacteristic, complemented
84C4×#4339C2211yescharacteristic
85C11×#496C2211yescharacteristic, complemented
86C11×#496C2211yescharacteristic, complemented
87C11×#489C2211yescharacteristic, complemented
88C11×#489C2211yescharacteristic, complemented
89C11×#463C2211yescharacteristic, complemented
90C11×#463C2211yescharacteristic, complemented
91C11×#463C2211yescharacteristic, complemented
92C11×#463C2211yescharacteristic, complemented
93C11×#448C2211yescharacteristic, complemented
94C11×#448C2211yescharacteristic, complemented
95C11×#447C2211yescharacteristic
96C11×#447C2211yescharacteristic, complemented
97C11×#432C2211yescharacteristic, complemented
98#10622841C2211yescharacteristic, complemented
99#10622840C2211yescharacteristic, complemented
100#10622831C2211yescharacteristic, complemented
101#10622830C2211yescharacteristic
102#10622789C2211yescharacteristic, complemented
103#10622788C2211yescharacteristic, complemented
104#10622785C2211yescharacteristic, complemented
105#10622785C2211yescharacteristic, complemented
106#10622783C2211yescharacteristic, complemented
107#10622783C2211yescharacteristic, complemented
108#10622781C2211yescharacteristic, complemented
109#10622780C2211yescharacteristic, complemented
110#10622778C2211yescharacteristic, complemented
111#10622778C2211yescharacteristic, complemented
112#10622775C2211yescharacteristic, complemented
113#10622775C2211yescharacteristic, complemented
114#10622771C2211yescharacteristic
115#10622771C2211yescharacteristic, complemented
116#10622769C2211yescharacteristic
117#10622769C2211yescharacteristic, complemented
118#10622768C2211yescharacteristic, complemented
119#10622767C2211yescharacteristic, complemented
120#10622767C2211yescharacteristic, complemented
121#10622766C2211yescharacteristic, complemented
122#10622766C2211yescharacteristic, complemented
123#10622764C2211yescharacteristic, complemented
124#10622763C2211yescharacteristic, complemented
125#10622763C2211yescharacteristic, complemented
126#10622706C2211yescharacteristic, complemented
127#10622701C2211yescharacteristic, complemented
128#10622689C2211yescharacteristic, complemented
129#10622686C2211yescharacteristic, complemented
130#10622672C2211yescharacteristic, complemented
131#10622672C2211yescharacteristic, complemented
132#10622670C2211yescharacteristic, complemented
133#10622670C2211yescharacteristic, complemented
134#10622669C2211yescharacteristic, complemented
135#10622669C2211yescharacteristic, complemented
136#10622667C2211yescharacteristic, complemented
137#10622667C2211yescharacteristic, complemented
138#10622650C2211yescharacteristic
139#10622650C2211yescharacteristic, complemented
140#10622650C2211yescharacteristic, complemented
141#10622650C2211yescharacteristic, complemented
142#10622629C2211yescharacteristic, complemented
143#10622629C2211yescharacteristic, complemented
144#10622629C2211yescharacteristic, complemented
145#10622629C2211yescharacteristic, complemented
146#10622538C2211yescharacteristic, complemented
147#10622458C2211yescharacteristic, complemented
148#10622458C2211yescharacteristic, complemented
149#10622457C2211yescharacteristic, complemented
150#10622457C2211yescharacteristic, complemented
151#10622450C2211yescharacteristic, complemented
152#10622448C2211yescharacteristic, complemented
153#10622446C2211yescharacteristic, complemented
154D11×C4⋊C8C2211yescharacteristic, complemented
155#10622432C2211yescharacteristic, complemented
156#10622431C2211yescharacteristic, complemented
157#10622424C2211yescharacteristic, complemented
158#10622423C2211yescharacteristic, complemented
159#10622421C2211yescharacteristic, complemented
160#10622419C2211yescharacteristic, complemented
161#10622417C2211yescharacteristic, complemented
162#10622416C2211yescharacteristic, complemented
163#10622415C2211yescharacteristic, complemented
164D11×#103C2211yescharacteristic, complemented
165#10622413C2211yescharacteristic, complemented
166#10622411C2211yescharacteristic, complemented
167#10622410C2211yescharacteristic, complemented
168#10622408C2211yescharacteristic, complemented
169#10622406C2211yescharacteristic, complemented
170#10622405C2211yescharacteristic, complemented
171#10622400C2211yescharacteristic, complemented
172#10622399C2211yescharacteristic, complemented
173#10622396C2211yescharacteristic, complemented
174#10622394C2211yescharacteristic
175#10622389C2211yescharacteristic, complemented
176#10622386C2211yescharacteristic
177#10622385C2211yescharacteristic
178#10622384C2211yescharacteristic
179#10622383C2211yescharacteristic
180D11×#102C2211yescharacteristic
181#10622381C2211yescharacteristic, complemented
182#10622380C2211yescharacteristic, complemented
183#10622378C2211yescharacteristic, complemented
184#10622377C2211yescharacteristic, complemented
185#10622375C2211yescharacteristic, complemented
186#10622373C2211yescharacteristic, complemented
187#10622347C2211yescharacteristic
188#10622347C2211yescharacteristic, complemented
189#10622346C2211yescharacteristic, complemented
190#10622346C2211yescharacteristic, complemented
191#10622340C2211yescharacteristic
192#10622340C2211yescharacteristic
193#10622333C2211yescharacteristic, complemented
194#10622333C2211yescharacteristic, complemented
195#10622328C2211yescharacteristic, complemented
196#10622326C2211yescharacteristic, complemented
197#10622325C2211yescharacteristic, complemented
198#10622322C2211yescharacteristic, complemented
199#10622322C2211yescharacteristic, complemented
200#10622321C2211yescharacteristic, complemented
201#10622321C2211yescharacteristic, complemented
202#10622316C2211yescharacteristic, complemented
203C2×C11×#41—21no—
204C22×Q8×C11C2311yescharacteristic
205C22×D4×C11C2311yescharacteristic
206C22×C22⋊D11—21no—
207C22×C22⋊D11—21no—
208#67040—42no—
209#67040—42no—
210C2×#4343—21no—
211C2×#4343C2311yescharacteristic
212C2×#4343C2311yescharacteristic
213C2×Q8×D11—21no—
214C2×Q8×D11C2311yescharacteristic
215C2×Q8×D11C2311yescharacteristic
216#67037—42no—
217#67037—42no—
218C2×#4341—21no—
219C2×#4341C2311yescharacteristic
220C2×#4341C2311yescharacteristic
221C2×#4341C2311yescharacteristic
222C2×D4×D11—21no—
223C2×D4×D11C2311yescharacteristic
224C2×D4×D11C2311yescharacteristic
225C2×D4×D11C2311yescharacteristic
226C2×#4339—21no—
227C2×#4339—21no—
228C2×#4339—21no—
229C2×#4339C2311yescharacteristic
230C2×#4339C2311yescharacteristic
231C2×#4339C2311yescharacteristic
232C22×C4×D11—21no—
233C2×C11×SD16C2311yescharacteristic
234C2×C11×SD16C2311yescharacteristic
235C2×C11×SD16C2311yescharacteristic
236C2×C11×SD16C2311yescharacteristic
237C2×C11×D8C2311yescharacteristic
238C2×C11×D8C2311yescharacteristic
239C2×C11×D8C2311yescharacteristic
240C2×C11×D8C2311yescharacteristic
241C11×C4⋊Q8C2311yescharacteristic
242C11×#127C2311yescharacteristic
243C11×#124—21no—
244C11×#124—21no—
245C11×#124—21no—
246C11×#124C2311yescharacteristic
247C11×#124C2311yescharacteristic
248C11×#124C2311yescharacteristic
249C11×#124C2311yescharacteristic
250C11×#121—21no—
251C11×#121C2311yescharacteristic
252C11×#121C2311yescharacteristic
253C4×D4×C11—21no—
254C4×D4×C11C2311yescharacteristic
255C4×D4×C11C2311yescharacteristic
256C2×C11×C22⋊C4—21no—
257C2×C11×C22⋊C4—21no—
258C2×C42×C11C2311yescharacteristic
259#67006—21no—
260#67006—21no—
261#67000—21no—
262#67000C2311yescharacteristic
263#67000C2311yescharacteristic
264#66999—21no—
265#66999—21no—
266#66999—21no—
267#66999—21no—
268#66997—21no—
269#66997C2311yescharacteristic
270#66997C2311yescharacteristic
271C2×#4326C2311yescharacteristic
272C2×#4326C2311yescharacteristic
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#66992—21no—
285#66991—21no—
286#66991—21no—
287#66991—21no—
288#66991—21no—
289#66991C2311yescharacteristic
290#66991C2311yescharacteristic
291#66990—21no—
292#66990—21no—
293#66990—21no—
294#66989—21no—
295#66989C2311yescharacteristic
296#66989C2311yescharacteristic
297#66989C2311yescharacteristic
298#66988—21no—
299#66988—21no—
300#66988—21no—
301D4×Dic11C2311yescharacteristic
302D4×Dic11C2311yescharacteristic
303C2×#4324C2311yescharacteristic
304C2×#4324C2311yescharacteristic
305C2×#4324C2311yescharacteristic
306C2×#4324C2311yescharacteristic
307C2×#4324C2311yescharacteristic
308C2×#4324C2311yescharacteristic
309C2×#4323C2311yescharacteristic
310C2×#4323C2311yescharacteristic
311C2×#4323C2311yescharacteristic
312C2×#4323C2311yescharacteristic
313C2×#4323C2311yescharacteristic
314C2×#4323C2311yescharacteristic
315#66983—21no—
316#66983—21no—
317#66983C2311yescharacteristic
318#66982—21no—
319#66982—21no—
320#66982—21no—
321C4×C22⋊D11—21no—
322C4×C22⋊D11—21no—
323C4×C22⋊D11—21no—
324C4×C22⋊D11—21no—
325C4×C22⋊D11—21no—
326C4×C22⋊D11D411yescharacteristic
327C4×C22⋊D11D411yescharacteristic
328C4×C22⋊D11D411yescharacteristic
329C4×C22⋊D11D411yescharacteristic
330#66979—21no—
331#66979C2311yescharacteristic
332#66977C2311yescharacteristic
333C2×C4×Dic11—21no—
334#66969—42no—
335#66968—42no—
336#66967—42no—
337SD16×D11—42no—
338#66965—42no—
339#66964—42no—
340#66964—42no—
341D8×D11—42no—
342C2×Dic44C2311yescharacteristic
343C2×Dic44C2311yescharacteristic
344C2×D88C2311yescharacteristic
345C2×D88C2311yescharacteristic
346C2×#4314C2311yescharacteristic
347C2×#4314C2311yescharacteristic
348C2×#4314C2311yescharacteristic
349C2×#4314C2311yescharacteristic
350C2×#4313C2311yescharacteristic
351C2×#4313C2311yescharacteristic
352C2×C8×D11C2311yescharacteristic
353C2×C8×D11C2311yescharacteristic
354#66951—21no—
355#66950C2311yescharacteristic
356#66949—21no—
357#66948C2311yescharacteristic
358#66947—21no—
359#66946C2311yescharacteristic
360#66945C2311yescharacteristic
361C4⋊C4×D11C2311yescharacteristic
362#66943C2311yescharacteristic
363#66942—21no—
364#66941C2311yescharacteristic
365#66940C2311yescharacteristic
366#66939—21no—
367#66938—21no—
368#66938—21no—
369#66938—21no—
370#66938—21no—
371#66938—21no—
372#66938—21no—
373#66937—21no—
374#66937—21no—
375#66937—21no—
376#66937—21no—
377#66937—21no—
378#66937—21no—
379#66937—21no—
380#66937—21no—
381#66937—21no—
382#66937—21no—
383#66936—21no—
384#66936—21no—
385#66936—21no—
386#66936—21no—
387#66936—21no—
388#66936—21no—
389#66935—21no—
390#66935—21no—
391#66935—21no—
392#66935—21no—
393#66935—21no—
394(C22⋊D11)⋊C4—21no—
395(C22⋊D11)⋊C4—21no—
396(C22⋊D11)⋊C4—21no—
397(C22⋊D11)⋊C4—21no—
398(C22⋊D11)⋊C4—21no—
399(C22⋊D11)⋊C4—21no—
400C22⋊C4×D11—21no—
401C22⋊C4×D11—21no—
402C22⋊C4×D11—21no—
403C22⋊C4×D11—21no—
404C22⋊C4×D11—21no—
405#66932—21no—
406#66932—21no—
407#66931—21no—
408#66931—21no—
409#66931—21no—
410#66931—21no—
411#66931—21no—
412#66931—21no—
413#66930—21no—
414#66929—21no—
415#66928C2311yescharacteristic
416#66928C2311yescharacteristic
417#66928C2311yescharacteristic
418#66927C2311yescharacteristic
419C4×D44—21no—
420C4×D44—21no—
421C4×D44D411yescharacteristic
422C4×D44D411yescharacteristic
423C4×D44C2311yescharacteristic
424#66925—21no—
425#66925C2311yescharacteristic
426#66925C2311yescharacteristic
427C42×D11C2311yescharacteristic
428C42×D11C2311yescharacteristic
429#66923C2311yescharacteristic
430#66922C2311yescharacteristic
431C4×Dic22D411yescharacteristic
432C4×Dic22D411yescharacteristic
433C4×Dic22C2311yescharacteristic
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
491C24×C11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C23×D11—21no—
495C11×#41—82no—
496C2×Q8×C11—21no—
497C2×Q8×C11—21no—
498C2×Q8×C11—41no—
499C2×Q8×C11—41no—
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×C11—41no—
508C2×D4×C11—41no—
509C2×D4×C11C2411yescharacteristic
510C2×D4×C11C2411yescharacteristic
511C2×D4×C11C2411yescharacteristic
512C2×D4×C11C2411yescharacteristic
513C22×C4×C11—21no—
514C22×C4×C11—21no—
515C22×C4×C11—21no—
516C22×C4×C11C2×D411yescharacteristic
517C22×C4×C11C2×D411yescharacteristic
518C22×C4×C11C2411yescharacteristic
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⋊D11—21no—
531C2×C22⋊D11—21no—
532C2×C22⋊D11—21no—
533C2×C22⋊D11—21no—
534C2×C22⋊D11—21no—
535C2×C22⋊D11—21no—
536C2×C22⋊D11—44no—
537C2×C22⋊D11—44no—
538C2×C22⋊D11C2×D411yescharacteristic
539C2×C22⋊D11C2×D411yescharacteristic
540C22×Dic11—21no—
541C22×Dic11—21no—
542C22×Dic11—21no—
543C22×Dic11—21no—
544C22×Dic11—21no—
545#4343—22no—
546#4343—22no—
547#4343—41no—
548#4343—41no—
549#4343—44no—
550Q8×D11—22no—
551Q8×D11—22no—
552Q8×D11—41no—
553Q8×D11—41no—
554Q8×D11—44no—
555#4341—22no—
556#4341—22no—
557#4341—22no—
558#4341—22no—
559#4341—41no—
560#4341—41no—
561#4341—44no—
562D4×D11—22no—
563D4×D11—22no—
564D4×D11—22no—
565D4×D11—22no—
566D4×D11—41no—
567D4×D11—41no—
568D4×D11—44no—
569#4339—22no—
570#4339—22no—
571#4339—41no—
572#4339—41no—
573#4339—41no—
574#4339—41no—
575#4339—44no—
576#4339—44no—
577#4339—82no—
578C2×D44—21no—
579C2×D44—21no—
580C2×D44—21no—
581C2×D44—21no—
582C2×D44—21no—
583C2×D44C2×D411yescharacteristic
584C2×D44C2411yescharacteristic
585C2×D44C2411yescharacteristic
586C2×D44C2411yescharacteristic
587C2×C4×D11—21no—
588C2×C4×D11—21no—
589C2×C4×D11—21no—
590C2×C4×D11—21no—
591C2×C4×D11—21no—
592C2×C4×D11—21no—
593C2×C4×D11—21no—
594C2×C4×D11—21no—
595C2×C4×D11—21no—
596C2×C4×D11—82no—
597C2×C4×D11C2×D411yescharacteristic
598C2×C4×D11C2×D411yescharacteristic
599C2×C4×D11C2×D411yescharacteristic
600C2×C4×D11C2×D411yescharacteristic
601C2×C4×D11C2411yescharacteristic
602C2×C4×D11C2411yescharacteristic
603C2×Dic22—21no—
604C2×Dic22—21no—
605C2×Dic22—21no—
606C2×Dic22C2×D411yescharacteristic
607C2×Dic22C2411yescharacteristic
608C2×Dic22C2411yescharacteristic
609C2×Dic22C2411yescharacteristic
610C11×SD16—41no—
611C11×SD16—41no—
612C11×SD16—41no—
613C11×SD16—41no—
614C11×D8—41no—
615C11×D8—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⋊C4C2411yescharacteristic
624C11×C4⋊C4C2411yescharacteristic
625C11×C22⋊C4—21no—
626C11×C22⋊C4—21no—
627C11×C22⋊C4—21no—
628C11×C22⋊C4—21no—
629C11×C22⋊C4—21no—
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—
637C42×C11C2×D411yescharacteristic
638C42×C11C2×D411yescharacteristic
639C42×C11C2411yescharacteristic
640C42×C11C2411yescharacteristic
641C22⋊Dic11—21no—
642C22⋊Dic11—21no—
643C22⋊Dic11—21no—
644C22⋊Dic11—21no—
645C22⋊Dic11—21no—
646C22⋊Dic11—21no—
647C22⋊Dic11—21no—
648C22⋊Dic11—21no—
649C22⋊Dic11—21no—
650C22⋊Dic11—21no—
651C22⋊Dic11—21no—
652C22⋊Dic11C2×D411yescharacteristic
653C22⋊Dic11C2×D411yescharacteristic
654#4326—41no—
655#4326—41no—
656#4325—41no—
657#4325—41no—
658#4324—41no—
659#4324—41no—
660#4324—41no—
661#4324—41no—
662#4324—41no—
663#4324—41no—
664#4323—41no—
665#4323—41no—
666#4323—41no—
667#4323—41no—
668#4323—41no—
669#4323—41no—
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)⋊C4C2×D411yescharacteristic
687(C2×D11)⋊C4C2×D411yescharacteristic
688(C2×D11)⋊C4C2×D411yescharacteristic
689(C2×D11)⋊C4C2×D411yescharacteristic
690C4⋊Dic11—21no—
691C4⋊Dic11—21no—
692C4⋊Dic11—21no—
693C4⋊Dic11—21no—
694C4⋊Dic11C2×D411yescharacteristic
695C4⋊Dic11C2×D411yescharacteristic
696C4⋊Dic11C2411yescharacteristic
697C4⋊Dic11C2411yescharacteristic
698Dic11⋊C4—21no—
699Dic11⋊C4—21no—
700Dic11⋊C4—21no—
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4C2×D411yescharacteristic
711Dic11⋊C4C2×D411yescharacteristic
712Dic11⋊C4C2×D411yescharacteristic
713Dic11⋊C4C2×D411yescharacteristic
714C4×Dic11—21no—
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
727Dic44—41no—
728Dic44—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#3219—111no—
751#3213—111no—
752#3213D1111yescharacteristic, complemented
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×C11—21no—
774C23×C11—42no—
775C23×C11—81no—
776C23×C11—81no—
777C23×C11C22×D411yescharacteristic
778C22×D11—21no—
779C22×D11—21no—
780C22×D11—21no—
781C22×D11—42no—
782C22×D11—42no—
783C22×D11—42no—
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—42no—
797Q8×C11—81no—
798D4×C11—21no—
799D4×C11—21no—
800D4×C11—21no—
801D4×C11—21no—
802D4×C11—21no—
803D4×C11—21no—
804D4×C11—21no—
805D4×C11—21no—
806D4×C11—42no—
807D4×C11—81no—
808D4×C11—81no—
809D4×C11—81no—
810D4×C11—81no—
811C2×C4×C11—21no—
812C2×C4×C11—21no—
813C2×C4×C11—21no—
814C2×C4×C11—21no—
815C2×C4×C11—21no—
816C2×C4×C11—21no—
817C2×C4×C11—41no—
818C2×C4×C11—41no—
819C2×C4×C11—42no—
820C2×C4×C11—42no—
821C2×C4×C11—42no—
822C2×C4×C11C22×D411yescharacteristic
823C2×C4×C11C22×D411yescharacteristic
824C2×C4×C11C22×D411yescharacteristic
825C2×C4×C11C22×D411yescharacteristic
826C2×C4×C11C22×D411yescharacteristic
827C2×C4×C11C2511yescharacteristic
828C22⋊D11—22no—
829C22⋊D11—22no—
830C22⋊D11—42no—
831C22⋊D11—42no—
832C22⋊D11—42no—
833C22⋊D11—42no—
834C22⋊D11—42no—
835C22⋊D11—42no—
836C22⋊D11—42no—
837C22⋊D11—42no—
838C22⋊D11—81no—
839C22⋊D11—81no—
840C22⋊D11—81no—
841C22⋊D11—81no—
842C22⋊D11—81no—
843C22⋊D11—81no—
844C22⋊D11—81no—
845C22⋊D11—81no—
846C22⋊D11—81no—
847C2×Dic11—21no—
848C2×Dic11—21no—
849C2×Dic11—21no—
850C2×Dic11—21no—
851C2×Dic11—21no—
852C2×Dic11—42no—
853C2×Dic11—42no—
854C2×Dic11—42no—
855C2×Dic11—81no—
856C2×Dic11—81no—
857C2×Dic11C22×D411yescharacteristic
858C2×Dic11C22×D411yescharacteristic
859C2×Dic11C22×D411yescharacteristic
860C2×Dic11C22×D411yescharacteristic
861C2×Dic11C22×D411yescharacteristic
862C2×Dic11C22×D411yescharacteristic
863D44—22no—
864D44—21no—
865D44—21no—
866D44—21no—
867D44—21no—
868D44—21no—
869D44—21no—
870D44—42no—
871D44—42no—
872D44—81no—
873D44—81no—
874D44—81no—
875C4×D11—21no—
876C4×D11—21no—
877C4×D11—41no—
878C4×D11—41no—
879C4×D11—41no—
880C4×D11—41no—
881C4×D11—42no—
882C4×D11—42no—
883C4×D11—42no—
884C4×D11—42no—
885C4×D11—42no—
886C4×D11—42no—
887C4×D11—42no—
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—21no—
898Dic22—21no—
899Dic22—42no—
900Dic22—42no—
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—111no—
954#529—221no—
955C2×#124—111no—
956C2×#124—111no—
957C2×#124C2×D1111yescharacteristic, complemented
958#525—221no—
959#525—221no—
960C4×#41—111no—
961C4×#41—111no—
962C2×C4×D4—111no—
963#497—111no—
964#497—111no—
965#496—111no—
966#496—111no—
967#496—111no—
968#496—111no—
969#496C2×D1111yescharacteristic, complemented
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#491—111no—
981#490—111no—
982#490—111no—
983#489—111no—
984#489—111no—
985#489C2×D1111yescharacteristic, complemented
986#489C2×D1111yescharacteristic, complemented
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#464—111no—
1000#464—111no—
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#463C2×D1111yescharacteristic, complemented
1016#463C2×D1111yescharacteristic, complemented
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#452—111no—
1030#452—111no—
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#449—111no—
1046#449—111no—
1047#448—111no—
1048#448—111no—
1049#448—111no—
1050#448—111no—
1051#448C2×D1111yescharacteristic, complemented
1052#448C2×D1111yescharacteristic, complemented
1053#447—111no—
1054#447—111no—
1055#447—111no—
1056#447—111no—
1057#447C2×D1111yescharacteristic
1058#447C2×D1111yescharacteristic, complemented
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×C11—41no—
1094C22×C11—41no—
1095C22×C11—41no—
1096C22×C11—162no—
1097C22×C11C23×D411yescharacteristic
1098C2×D11—21no—
1099C2×D11—21no—
1100C2×D11—21no—
1101C2×D11—21no—
1102C2×D11—21no—
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—41no—
1112C2×D11—84no—
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×C11C2×H(5,𝔽2)11yescharacteristic
1126C4×C11C2×H(5,𝔽2)11yescharacteristic
1127Dic11—21no—
1128Dic11—21no—
1129Dic11—21no—
1130Dic11—21no—
1131Dic11—21no—
1132Dic11—41no—
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—21no—
1143C2×#41—111no—
1144C2×#41—111no—
1145C2×#41—111no—
1146C2×#41—111no—
1147C2×#41—111no—
1148C2×#41—111no—
1149C2×#41—111no—
1150C2×#41—111no—
1151C2×#41—221no—
1152C2×#41—221no—
1153C2×#41—221no—
1154C2×#41—221no—
1155C2×#41—221no—
1156C22×Q8—111no—
1157C22×Q8—111no—
1158C22×Q8—221no—
1159C22×Q8C22×D1111yescharacteristic
1160C22×D4—111no—
1161C22×D4—111no—
1162C22×D4—111no—
1163C22×D4—221no—
1164C22×D4—221no—
1165C22×D4—221no—
1166C22×D4C22×D1111yescharacteristic
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×Q16—111no—
1177C2×Q16—111no—
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—442no—
1204C2×D8C22×D1111yescharacteristic
1205C2×D8C22×D1111yescharacteristic
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—221no—
1225#126—221no—
1226#126—221no—
1227#126—221no—
1228#125—111no—
1229#125—111no—
1230#125—221no—
1231#124—21no—
1232#124—21no—
1233#124—21no—
1234#124—111no—
1235#124—111no—
1236#124—111no—
1237#124—111no—
1238#124—111no—
1239#124—111no—
1240#124—111no—
1241#124—111no—
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#124C22×D1111yescharacteristic
1251#124C22×D1111yescharacteristic
1252#124C22×D1111yescharacteristic
1253#124C22×D1111yescharacteristic
1254#123—221no—
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—111no—
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⋊Q8—221no—
1281#121—21no—
1282#121—111no—
1283#121—111no—
1284#121—111no—
1285#121—111no—
1286#121—221no—
1287#121—221no—
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#121C22×D1111yescharacteristic
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×Q8—111no—
1324C4×D4—21no—
1325C4×D4—111no—
1326C4×D4—111no—
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—221no—
1336C4×D4—221no—
1337C4×D4—221no—
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×D4C22×D1111yescharacteristic
1349C4×D4C22×D1111yescharacteristic
1350#117—111no—
1351#117—111no—
1352#117—111no—
1353#117—111no—
1354#117—221no—
1355#117—221no—
1356#117—221no—
1357C2×C4⋊C4—111no—
1358C2×C22⋊C4—21no—
1359C2×C22⋊C4—21no—
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×C11—81no—
1430C2×C11C2×#53511yescharacteristic
1431C2×C11#358411yescharacteristic
1432C2×C11#358511yescharacteristic
1433D11—22no—
1434D11—41no—
1435D11—81no—
1436D11—81no—
1437D11—81no—
1438C24—21no—
1439C24—221no—
1440C24—221no—
1441C24—221no—
1442#41—82no—
1443#41—222no—
1444#41—222no—
1445#41—222no—
1446#41—222no—
1447#41—222no—
1448#41—222no—
1449#41—222no—
1450#41—222no—
1451#41—441no—
1452#41—441no—
1453#41—441no—
1454#41—441no—
1455#41—444no—
1456#41—444no—
1457#41—441no—
1458#41—441no—
1459#41—441no—
1460#41—441no—
1461#41—444no—
1462#41—444no—
1463#41—882no—
1464C2×Q8—21no—
1465C2×Q8—21no—
1466C2×Q8—41no—
1467C2×Q8—41no—
1468C2×Q8—111no—
1469C2×Q8—111no—
1470C2×Q8—111no—
1471C2×Q8—111no—
1472C2×Q8—221no—
1473C2×Q8—221no—
1474C2×Q8—221no—
1475C2×Q8—222no—
1476C2×Q8—222no—
1477C2×Q8—441no—
1478C2×Q8—441no—
1479C2×Q8—444no—
1480C2×Q8C23×D1111yescharacteristic
1481C2×Q8C23×D1111yescharacteristic
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—41no—
1488C2×D4—41no—
1489C2×D4—111no—
1490C2×D4—111no—
1491C2×D4—111no—
1492C2×D4—111no—
1493C2×D4—111no—
1494C2×D4—111no—
1495C2×D4—221no—
1496C2×D4—221no—
1497C2×D4—221no—
1498C2×D4—222no—
1499C2×D4—222no—
1500C2×D4—222no—
1501C2×D4—222no—
1502C2×D4—221no—
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—221no—
1521C2×D4—441no—
1522C2×D4—441no—
1523C2×D4—444no—
1524C2×D4—444no—
1525C2×D4—444no—
1526C2×D4C23×D1111yescharacteristic
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—441no—
1558Q16—441no—
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—41no—
1580D8—41no—
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—111no—
1603C4⋊C4—111no—
1604C4⋊C4—111no—
1605C4⋊C4—111no—
1606C4⋊C4—111no—
1607C4⋊C4—111no—
1608C4⋊C4—111no—
1609C4⋊C4—111no—
1610C4⋊C4—221no—
1611C4⋊C4—221no—
1612C4⋊C4—221no—
1613C4⋊C4—221no—
1614C4⋊C4—221no—
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—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—111no—
1641C22⋊C4—111no—
1642C22⋊C4—111no—
1643C22⋊C4—111no—
1644C22⋊C4—111no—
1645C22⋊C4—111no—
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—111no—
1674C42—111no—
1675C42—111no—
1676C42—111no—
1677C42—111no—
1678C42—111no—
1679C42—221no—
1680C42—221no—
1681C42—221no—
1682C42D4×D1111yescharacteristic
1683C42D4×D1111yescharacteristic
1684C42C23×D1111yescharacteristic
1685C42C23×D1111yescharacteristic
1686C11#6083411yescharacteristic, complemented, Sylow
1687C23—21no—
1688C23—21no—
1689C23—21no—
1690C23—21no—
1691C23—42no—
1692C23—81no—
1693C23—81no—
1694C23—111no—
1695C23—111no—
1696C23—221no—
1697C23—221no—
1698C23—221no—
1699C23—442no—
1700C23—442no—
1701C23—442no—
1702C23—881no—
1703C23—881no—
1704C23—881no—
1705C23—881no—
1706C23—881no—
1707C23—881no—
1708C23C2×D4×D1111yescharacteristic
1709Q8—21no—
1710Q8—21no—
1711Q8—21no—
1712Q8—21no—
1713Q8—42no—
1714Q8—81no—
1715Q8—222no—
1716Q8—221no—
1717Q8—221no—
1718Q8—221no—
1719Q8—221no—
1720Q8—221no—
1721Q8—221no—
1722Q8—442no—
1723Q8—442no—
1724Q8—881no—
1725D4—21no—
1726D4—21no—
1727D4—21no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—42no—
1734D4—81no—
1735D4—81no—
1736D4—81no—
1737D4—81no—
1738D4—222no—
1739D4—222no—
1740D4—222no—
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—442no—
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—41no—
1776C2×C4—41no—
1777C2×C4—42no—
1778C2×C4—42no—
1779C2×C4—42no—
1780C2×C4—111no—
1781C2×C4—112no—
1782C2×C4—112no—
1783C2×C4—111no—
1784C2×C4—111no—
1785C2×C4—111no—
1786C2×C4—111no—
1787C2×C4—111no—
1788C2×C4—221no—
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—41no—
1840C22—41no—
1841C22—41no—
1842C22—112no—
1843C22—162no—
1844C22—221no—
1845C22—221no—
1846C22—221no—
1847C22—221no—
1848C22—221no—
1849C22—441no—
1850C22—441no—
1851C22—441no—
1852C22—441no—
1853C22—441no—
1854C22—441no—
1855C22—441no—
1856C22—441no—
1857C22—441no—
1858C22—884no—
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—112no—
1872C4—221no—
1873C4—221no—
1874C4—221no—
1875C4—221no—
1876C4—221no—
1877C4—441no—
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—81no—
1889C2—222no—
1890C2—441no—
1891C2—881no—
1892C2—881no—
1893C2—881no—
1894C2D11×#53511yescharacteristic
1895C2#1308338911yescharacteristic
1896C2#1308339211yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3213C2
socleC22×C11C23×D4
hypercenter#3213D11
hypocenterC11#60834
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3213

Complements

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

NH ≅ G/Ntype
1. #13082406C2semidirect
2. #13082030C2semidirect
3. #13079726C2semidirect
4. #13079723C2semidirect
5. #13079711C2semidirect
6. #13079706C2semidirect
7. #13079673C2semidirect
8. #13079672C2semidirect
9. #13079662C2semidirect
10. #13079661C2semidirect
11. #13079655C2semidirect
12. #13079652C2semidirect
13. #13079601C2semidirect
14. #13079581C2semidirect
15. #13079579C2semidirect
16. #13079548C2semidirect
17. #13079545C2semidirect
18. #13079100C2semidirect
19. #13079089C2semidirect
20. #13078978C2semidirect
21. #13078967C2semidirect
22. #13078105C2semidirect
23. #13078078C2semidirect
24. #13078068C2semidirect
25. D11×#463C2semidirect
26. #13077926C2semidirect
27. #13077915C2semidirect
28. #13077897C2semidirect
29. #13077879C2semidirect
30. #13077283C2semidirect
31. C11×#3213C2semidirect
34. C11×#532C22semidirect
35. C2×C11×#124C22semidirect
38. #10623347C22semidirect
39. #10623336C22semidirect
40. C2×#66969C22semidirect
41. C2×#66968C22semidirect
42. C2×#66967C22semidirect
43. C2×SD16×D11C22semidirect
48. #10623264C22semidirect
49. #10623260C22semidirect
50. #10623250C22semidirect
51. #10623246C22semidirect
58. #10623206C22semidirect
60. #10623205C22semidirect
62. D11×#124C22semidirect
65. #10623199C22semidirect
66. #10623150C22semidirect
71. #10623134C22semidirect
72. #10623088C22semidirect
73. #10623079C22semidirect
75. C4×D4×D11C22semidirect
77. C4×#4341C22semidirect
82. #10623010C22semidirect
83. #10623008C22semidirect
85. C11×#496C22semidirect
86. C11×#496C22semidirect
87. C11×#489C22semidirect
88. C11×#489C22semidirect
89. C11×#463C22semidirect
90. C11×#463C22semidirect
91. C11×#463C22semidirect
92. C11×#463C22semidirect
93. C11×#448C22semidirect
94. C11×#448C22semidirect
96. C11×#447C22semidirect
97. C11×#432C22semidirect
98. #10622841C22semidirect
99. #10622840C22semidirect
100. #10622831C22semidirect
102. #10622789C22semidirect
103. #10622788C22semidirect
104. #10622785C22semidirect
105. #10622785C22semidirect
106. #10622783C22semidirect
107. #10622783C22semidirect
108. #10622781C22semidirect
109. #10622780C22semidirect
110. #10622778C22semidirect
111. #10622778C22semidirect
112. #10622775C22semidirect
113. #10622775C22semidirect
115. #10622771C22semidirect
117. #10622769C22semidirect
118. #10622768C22semidirect
119. #10622767C22semidirect
120. #10622767C22semidirect
121. #10622766C22semidirect
122. #10622766C22semidirect
123. #10622764C22semidirect
124. #10622763C22semidirect
125. #10622763C22semidirect
126. #10622706C22semidirect
127. #10622701C22semidirect
128. #10622689C22semidirect
129. #10622686C22semidirect
130. #10622672C22semidirect
131. #10622672C22semidirect
132. #10622670C22semidirect
133. #10622670C22semidirect
134. #10622669C22semidirect
135. #10622669C22semidirect
136. #10622667C22semidirect
137. #10622667C22semidirect
139. #10622650C22semidirect
140. #10622650C22semidirect
141. #10622650C22semidirect
142. #10622629C22semidirect
143. #10622629C22semidirect
144. #10622629C22semidirect
145. #10622629C22semidirect
146. #10622538C22semidirect
147. #10622458C22semidirect
148. #10622458C22semidirect
149. #10622457C22semidirect
150. #10622457C22semidirect
151. #10622450C22semidirect
152. #10622448C22semidirect
153. #10622446C22semidirect
154. D11×C4⋊C8C22semidirect
155. #10622432C22semidirect
156. #10622431C22semidirect
157. #10622424C22semidirect
158. #10622423C22semidirect
159. #10622421C22semidirect
160. #10622419C22semidirect
161. #10622417C22semidirect
162. #10622416C22semidirect
163. #10622415C22semidirect
164. D11×#103C22semidirect
165. #10622413C22semidirect
166. #10622411C22semidirect
167. #10622410C22semidirect
168. #10622408C22semidirect
169. #10622406C22semidirect
170. #10622405C22semidirect
171. #10622400C22semidirect
172. #10622399C22semidirect
173. #10622396C22semidirect
175. #10622389C22semidirect
181. #10622381C22semidirect
182. #10622380C22semidirect
183. #10622378C22semidirect
184. #10622377C22semidirect
185. #10622375C22semidirect
186. #10622373C22semidirect
188. #10622347C22semidirect
189. #10622346C22semidirect
190. #10622346C22semidirect
193. #10622333C22semidirect
194. #10622333C22semidirect
195. #10622328C22semidirect
196. #10622326C22semidirect
197. #10622325C22semidirect
198. #10622322C22semidirect
199. #10622322C22semidirect
200. #10622321C22semidirect
201. #10622321C22semidirect
202. #10622316C22semidirect
752. #3213D11semidirect
951. #532C2×D11semidirect
957. C2×#124C2×D11semidirect
969. #496C2×D11semidirect
970. #496C2×D11semidirect
985. #489C2×D11semidirect
986. #489C2×D11semidirect
1015. #463C2×D11semidirect
1016. #463C2×D11semidirect
1017. #463C2×D11semidirect
1018. #463C2×D11semidirect
1051. #448C2×D11semidirect
1052. #448C2×D11semidirect
1058. #447C2×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
#130824062
#130820302
#130797262
#130797232
#130797112
#130797062
#130796732
#130796722
#130796622
#130796612
#130796552
#130796522
#130796012
#130795812
#130795792
#130795482
#130795452
#130791002
#130790892
#130789782
#130789672
#130781052
#130780782
#130780682
D11×#4632
#130779262
#130779152
#130778972
#130778792
#130772832
C11×#32132
#6083411