Finite Group Databasebeta

← #15640334

Subgroups — #15640334

Order 2816.

2100 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082912C211yesmaximal, characteristic, complemented
2#13082276C211yesmaximal, characteristic, complemented
3#13080952C211yesmaximal, characteristic, complemented
4#13080878C211yesmaximal, characteristic, complemented
5#13080843C211yesmaximal, characteristic, complemented
6#13080814C211yesmaximal, characteristic, complemented
7#13080693C211yesmaximal, characteristic, complemented
8#13080685C211yesmaximal, characteristic, complemented
9#13080621C211yesmaximal, characteristic, complemented
10#13080285C211yesmaximal, characteristic, complemented
11#13080270C211yesmaximal, characteristic, complemented
12#13080251C211yesmaximal, characteristic, complemented
13#13080212C211yesmaximal, characteristic, complemented
14#13080198C211yesmaximal, characteristic, complemented
15#13080176C211yesmaximal, characteristic, complemented
16#13080128C211yesmaximal, characteristic, complemented
17#13080109C211yesmaximal, characteristic, complemented
18#13079715C211yesmaximal, characteristic, complemented
19#13079689C211yesmaximal, characteristic, complemented
20#13079516C211yesmaximal, characteristic, complemented
21#13079491C211yesmaximal, characteristic, complemented
22#13079434C211yesmaximal, characteristic, complemented
23#13079417C211yesmaximal, characteristic, complemented
24#13078882C211yesmaximal, characteristic, complemented
25#13078835C211yesmaximal, characteristic, complemented
26#13077925C211yesmaximal, characteristic, complemented
27#13077888C211yesmaximal, characteristic, complemented
28#13077871C211yesmaximal, characteristic, complemented
29#13077860C211yesmaximal, characteristic, complemented
30#13077675C211yesmaximal, characteristic, complemented
31C11×#3310C211yesmaximal, characteristic, complemented
32C2×#67037C2211yescharacteristic
33C22×#4341C2211yescharacteristic
34C11×#552C2211yescharacteristic, complemented
35D42×C11C2211yescharacteristic
36#10623337C2211yescharacteristic
37C2×#66992—21no—
38D4×C22⋊D11—21no—
39D4×C22⋊D11C2211yescharacteristic
40C2×#66985C2211yescharacteristic, complemented
41C2×#66985C2211yescharacteristic, complemented
42C2×#66968C2211yescharacteristic, complemented
43C2×#66968C2211yescharacteristic, complemented
44C2×#66968C2211yescharacteristic, complemented
45C2×SD16×D11C2211yescharacteristic, complemented
46C2×#66962C2211yescharacteristic, complemented
47C2×#66957C2211yescharacteristic, complemented
48#10623249C2211yescharacteristic
49#10623246C2211yescharacteristic
50#10623243—21no—
51#10623235—21no—
52#10623228C2211yescharacteristic, complemented
53#10623226C2211yescharacteristic, complemented
54#10623223—21no—
55#10623221—21no—
56#10623198—21no—
57#10623188—21no—
58#10623164C2211yescharacteristic, complemented
59#10623164C2211yescharacteristic, complemented
60#10623159C2211yescharacteristic, complemented
61D11×C22⋊Q8C2211yescharacteristic, complemented
62#10623141—21no—
63#10623139C2211yescharacteristic
64D11×#121C2211yescharacteristic
65#10623130C2211yescharacteristic
66#10623129C2211yescharacteristic
67#10623128—21no—
68#10623123—21no—
69#10623122—21no—
70#10623121—21no—
71#10623117—21no—
72#10623113C2211yescharacteristic, complemented
73Q8×D44C2211yescharacteristic, complemented
74#10623085C2211yescharacteristic
75#10623083C2211yescharacteristic
76#10623082C2211yescharacteristic, complemented
77#10623078C2211yescharacteristic
78#10623077C2211yescharacteristic
79#10623065—21no—
80#10623064C2211yescharacteristic, complemented
81#10623061—21no—
82#10623055C2211yescharacteristic, complemented
83#10623042C2211yescharacteristic, complemented
84#10623041C2211yescharacteristic, complemented
85C11×#490C2211yescharacteristic, complemented
86C11×#482C2211yescharacteristic, complemented
87C11×#480C2211yescharacteristic, complemented
88C11×#478C2211yescharacteristic, complemented
89C11×#468C2211yescharacteristic, complemented
90C11×#465C2211yescharacteristic, complemented
91C11×#460C2211yescharacteristic, complemented
92C11×#450C2211yescharacteristic, complemented
93C11×#450C2211yescharacteristic, complemented
94C11×#440C2211yescharacteristic, complemented
95C11×#435C2211yescharacteristic, complemented
96C11×#418C2211yescharacteristic, complemented
97C2×C11×#102C2211yescharacteristic, complemented
98#10622831C2211yescharacteristic, complemented
99#10622831C2211yescharacteristic, complemented
100#10622789C2211yescharacteristic, complemented
101#10622786C2211yescharacteristic
102#10622786C2211yescharacteristic, complemented
103#10622783C2211yescharacteristic, complemented
104#10622783C2211yescharacteristic, complemented
105#10622782C2211yescharacteristic, complemented
106#10622781C2211yescharacteristic, complemented
107#10622778C2211yescharacteristic, complemented
108#10622747C2211yescharacteristic, complemented
109#10622741C2211yescharacteristic, complemented
110#10622739C2211yescharacteristic, complemented
111#10622729C2211yescharacteristic, complemented
112#10622724C2211yescharacteristic, complemented
113#10622723C2211yescharacteristic, complemented
114#10622689C2211yescharacteristic, complemented
115#10622685C2211yescharacteristic, complemented
116#10622681C2211yescharacteristic, complemented
117#10622676C2211yescharacteristic, complemented
118#10622665C2211yescharacteristic, complemented
119#10622663C2211yescharacteristic, complemented
120#10622662C2211yescharacteristic, complemented
121#10622660C2211yescharacteristic, complemented
122#10622655C2211yescharacteristic, complemented
123#10622655C2211yescharacteristic, complemented
124#10622650C2211yescharacteristic, complemented
125#10622650C2211yescharacteristic, complemented
126C4×#4326C2211yescharacteristic, complemented
127#10622641C2211yescharacteristic, complemented
128#10622632C2211yescharacteristic, complemented
129C4×#4323C2211yescharacteristic, complemented
130#10622625C2211yescharacteristic, complemented
131#10622617C2211yescharacteristic, complemented
132#10622616C2211yescharacteristic, complemented
133#10622583C2211yescharacteristic, complemented
134#10622579C2211yescharacteristic, complemented
135#10622500C2211yescharacteristic, complemented
136#10622499C2211yescharacteristic, complemented
137#10622499C2211yescharacteristic, complemented
138#10622497C2211yescharacteristic, complemented
139#10622495C2211yescharacteristic, complemented
140#10622495C2211yescharacteristic, complemented
141#10622488C2211yescharacteristic, complemented
142#10622486C2211yescharacteristic, complemented
143#10622480C2211yescharacteristic, complemented
144#10622478C2211yescharacteristic, complemented
145#10622475C2211yescharacteristic, complemented
146#10622466C2211yescharacteristic, complemented
147#10622462C2211yescharacteristic, complemented
148#10622457C2211yescharacteristic, complemented
149#10622453C2211yescharacteristic, complemented
150#10622451C2211yescharacteristic, complemented
151#10622422C2211yescharacteristic, complemented
152#10622421C2211yescharacteristic, complemented
153#10622419C2211yescharacteristic, complemented
154#10622411C2211yescharacteristic, complemented
155#10622397C2211yescharacteristic, complemented
156#10622396C2211yescharacteristic
157#10622396C2211yescharacteristic
158#10622396C2211yescharacteristic, complemented
159#10622396C2211yescharacteristic, complemented
160#10622396C2211yescharacteristic, complemented
161#10622396C2211yescharacteristic, complemented
162#10622396C2211yescharacteristic, complemented
163#10622395C2211yescharacteristic, complemented
164#10622394C2211yescharacteristic
165#10622394C2211yescharacteristic, complemented
166#10622394C2211yescharacteristic, complemented
167#10622394C2211yescharacteristic, complemented
168#10622394C2211yescharacteristic, complemented
169#10622393C2211yescharacteristic, complemented
170#10622393C2211yescharacteristic, complemented
171#10622389C2211yescharacteristic, complemented
172#10622389C2211yescharacteristic, complemented
173#10622389C2211yescharacteristic, complemented
174#10622388C2211yescharacteristic, complemented
175#10622387C2211yescharacteristic, complemented
176#10622386C2211yescharacteristic, complemented
177#10622386C2211yescharacteristic, complemented
178#10622385C2211yescharacteristic, complemented
179#10622384C2211yescharacteristic, complemented
180#10622384C2211yescharacteristic, complemented
181#10622383C2211yescharacteristic, complemented
182#10622380C2211yescharacteristic, complemented
183#10622380C2211yescharacteristic, complemented
184#10622378C2211yescharacteristic, complemented
185#10622375C2211yescharacteristic, complemented
186#10622375C2211yescharacteristic, complemented
187#10622373C2211yescharacteristic, complemented
188#10622372C2211yescharacteristic, complemented
189#10622371C2211yescharacteristic, complemented
190#10622370C2211yescharacteristic, complemented
191#10622352C2211yescharacteristic, complemented
192#10622347C2211yescharacteristic, complemented
193#10622346C2211yescharacteristic, complemented
194#10622346C2211yescharacteristic, complemented
195#10622342C2211yescharacteristic, complemented
196#10622341C2211yescharacteristic, complemented
197#10622340C2211yescharacteristic, complemented
198#10622339C2211yescharacteristic, complemented
199#10622328C2211yescharacteristic, complemented
200#10622323C2211yescharacteristic, complemented
201#10622322C2211yescharacteristic, complemented
202#10622319C2211yescharacteristic, complemented
203C22×D4×C11—21no—
204C22×D4×C11C2311yescharacteristic
205C22×D4×C11C2311yescharacteristic
206C22×C22⋊D11—21no—
207C22×C22⋊D11—21no—
208C22×C22⋊D11—21no—
209C22×C22⋊D11—21no—
210C23×Dic11—21no—
211C2×Q8×D11C2311yescharacteristic
212C2×Q8×D11C2311yescharacteristic
213#67037—42no—
214#67037—42no—
215C2×#4341—21no—
216C2×#4341—21no—
217C2×#4341—21no—
218C2×#4341—42no—
219C2×#4341—42no—
220C2×#4341C2311yescharacteristic
221C2×#4341C2311yescharacteristic
222C2×#4341C2311yescharacteristic
223C2×#4341C2311yescharacteristic
224C2×#4341C2311yescharacteristic
225C2×D4×D11—21no—
226C2×D4×D11—21no—
227C2×D4×D11C2311yescharacteristic
228C2×D4×D11C2311yescharacteristic
229C2×#4339C2311yescharacteristic
230C2×#4339C2311yescharacteristic
231C2×#4339C2311yescharacteristic
232C2×#4339C2311yescharacteristic
233C22×C4×D11C2311yescharacteristic
234C22×Dic22C2311yescharacteristic
235C2×C11×SD16C2311yescharacteristic
236C2×C11×SD16C2311yescharacteristic
237C2×C11×SD16C2311yescharacteristic
238C2×C11×M16C2311yescharacteristic
239C22×C8×C11C2311yescharacteristic
240C11×#127C2311yescharacteristic
241C11×#126—21no—
242C11×#125—21no—
243C11×#125C2311yescharacteristic
244C11×#123—21no—
245C11×C22⋊Q8C2311yescharacteristic
246C11×C22⋊Q8C2311yescharacteristic
247C11×#121—21no—
248C11×#121C2311yescharacteristic
249C11×#121C2311yescharacteristic
250C11×#120—21no—
251C11×#120—21no—
252C4×Q8×C11C2311yescharacteristic
253C4×D4×C11C2311yescharacteristic
254C4×D4×C11C2311yescharacteristic
255C11×#117—21no—
256C11×#117C2311yescharacteristic
257C2×C11×C4⋊C4C2311yescharacteristic
258#67006—21no—
259#67006—21no—
260C2×C22⋊Dic11—21no—
261#67000C2311yescharacteristic
262#66999C2311yescharacteristic
263C2×#4326C2311yescharacteristic
264C2×#4326C2311yescharacteristic
265C2×#4325C2311yescharacteristic
266#66993—21no—
267#66993—21no—
268#66993C2311yescharacteristic
269#66992—21no—
270#66992—21no—
271#66992—21no—
272#66992—21no—
273#66992—21no—
274#66992—21no—
275#66992—21no—
276#66992—21no—
277#66992—21no—
278#66992—21no—
279#66992—21no—
280#66992D411yescharacteristic
281#66991—21no—
282#66991—21no—
283#66991C2311yescharacteristic
284#66991C2311yescharacteristic
285#66990—21no—
286#66990—21no—
287#66990—21no—
288#66990D411yescharacteristic
289#66989C2311yescharacteristic
290#66988—21no—
291D4×Dic11—21no—
292D4×Dic11—21no—
293D4×Dic11C2311yescharacteristic
294C2×#4324C2311yescharacteristic
295C2×#4324C2311yescharacteristic
296C2×#4324C2311yescharacteristic
297C2×#4324C2311yescharacteristic
298C2×#4324C2311yescharacteristic
299C2×#4324C2311yescharacteristic
300#66985—42no—
301#66985—42no—
302C2×#4323C2311yescharacteristic
303C2×#4323C2311yescharacteristic
304C2×#4323C2311yescharacteristic
305#66983—21no—
306#66983—21no—
307#66983—21no—
308#66983C2311yescharacteristic
309C4×C22⋊D11—21no—
310C4×C22⋊D11—21no—
311C4×C22⋊D11C2311yescharacteristic
312C4×C22⋊D11C2311yescharacteristic
313C2×(C2×D11)⋊C4—21no—
314#66977—21no—
315#66977C2311yescharacteristic
316#66977C2311yescharacteristic
317#66977C2311yescharacteristic
318C2×Dic11⋊C4—21no—
319C2×#4318C2311yescharacteristic
320C2×#4318C2311yescharacteristic
321#66968—42no—
322#66968—42no—
323#66968—42no—
324SD16×D11—42no—
325#66962—42no—
326C2×Dic44C2311yescharacteristic
327C2×Dic44C2311yescharacteristic
328C2×Dic44C2311yescharacteristic
329C2×Dic44C2311yescharacteristic
330#66957—42no—
331C2×D88C2311yescharacteristic
332C2×#4314C2311yescharacteristic
333C2×#4314C2311yescharacteristic
334C2×#4314C2311yescharacteristic
335C2×#4314C2311yescharacteristic
336C2×#4313C2311yescharacteristic
337C2×#4313C2311yescharacteristic
338C2×#4313C2311yescharacteristic
339C2×C8×D11C2311yescharacteristic
340#66951—21no—
341#66951—21no—
342#66951—21no—
343#66950—21no—
344#66950—21no—
345#66950—21no—
346#66950C2311yescharacteristic
347#66950C2311yescharacteristic
348#66950C2311yescharacteristic
349#66950C2311yescharacteristic
350#66950C2311yescharacteristic
351#66949—21no—
352#66949—21no—
353#66949—21no—
354#66949—21no—
355#66949—21no—
356#66949—21no—
357#66949D411yescharacteristic
358#66948—21no—
359#66948—21no—
360#66948C2311yescharacteristic
361#66948C2311yescharacteristic
362#66948C2311yescharacteristic
363#66948C2311yescharacteristic
364#66947—21no—
365#66947—21no—
366#66947—21no—
367#66947D411yescharacteristic
368#66946—21no—
369#66946—21no—
370#66946—21no—
371#66945C2311yescharacteristic
372C4⋊C4×D11—21no—
373C4⋊C4×D11—21no—
374C4⋊C4×D11C2311yescharacteristic
375C4⋊C4×D11C2311yescharacteristic
376#66943—21no—
377#66943—21no—
378#66942—21no—
379#66941—21no—
380#66941C2311yescharacteristic
381#66940C2311yescharacteristic
382#66940C2311yescharacteristic
383#66940C2311yescharacteristic
384#66939—21no—
385#66939—21no—
386#66938—21no—
387#66938—21no—
388#66938—21no—
389#66938—21no—
390#66938—21no—
391#66938—21no—
392#66937—21no—
393#66937—21no—
394#66937—21no—
395#66937—21no—
396#66937—21no—
397#66937D411yescharacteristic
398#66936—21no—
399#66936—21no—
400#66936—21no—
401#66936D411yescharacteristic
402#66935—21no—
403#66935—21no—
404#66935D411yescharacteristic
405(C22⋊D11)⋊C4—21no—
406(C22⋊D11)⋊C4—21no—
407(C22⋊D11)⋊C4—21no—
408C22⋊C4×D11—21no—
409C22⋊C4×D11—21no—
410#66932—21no—
411#66931—21no—
412#66931—21no—
413#66931—21no—
414#66931D411yescharacteristic
415#66930—21no—
416#66929—21no—
417#66929—21no—
418#66928—21no—
419#66928C2311yescharacteristic
420C4×D44—21no—
421C4×D44—21no—
422C4×D44—21no—
423C4×D44C2311yescharacteristic
424C4×D44C2311yescharacteristic
425#66925C2311yescharacteristic
426#66922—21no—
427#66922C2311yescharacteristic
428C4×Dic22—21no—
429C4×Dic22C2311yescharacteristic
430C11×#107C2311yescharacteristic
431C11×#107C2311yescharacteristic
432C11×#106C2311yescharacteristic
433C11×C4⋊C8C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×#102C2311yescharacteristic
439C11×#102C2311yescharacteristic
440C11×#102C2311yescharacteristic
441C11×#102C2311yescharacteristic
442C11×#102C2311yescharacteristic
443C11×#102C2311yescharacteristic
444C11×C22⋊C8C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446C11×#97C2311yescharacteristic
447#66899C2311yescharacteristic
448#66896C2311yescharacteristic
449#66896C2311yescharacteristic
450#66896C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453#66885C2311yescharacteristic
454#66885C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456(C2×D11)⋊C8C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463#66882C2311yescharacteristic
464#66880C2311yescharacteristic
465#66880C2311yescharacteristic
466#66880C2311yescharacteristic
467#66880C2311yescharacteristic
468#66879C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470Dic11⋊C8C2311yescharacteristic
471C8×Dic11C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66874C2311yescharacteristic
477#66874C2311yescharacteristic
478#66874C2311yescharacteristic
479#66874C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66871C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489C4×C11⋊C8C2311yescharacteristic
490#61654—111nomaximal, Sylow
491C24×C11—21no—
492C24×C11—21no—
493C23×D11—21no—
494C23×D11—21no—
495C23×D11C2×D411yescharacteristic
496C2×Q8×C11C2411yescharacteristic
497C2×D4×C11—22no—
498C2×D4×C11—22no—
499C2×D4×C11—21no—
500C2×D4×C11—21no—
501C2×D4×C11—21no—
502C2×D4×C11—21no—
503C2×D4×C11—21no—
504C2×D4×C11—21no—
505C2×D4×C11—41no—
506C2×D4×C11—41no—
507C2×D4×C11—82no—
508C2×D4×C11C2×D411yescharacteristic
509C2×D4×C11C2411yescharacteristic
510C2×D4×C11C2411yescharacteristic
511C2×D4×C11C2411yescharacteristic
512C22×C4×C11—21no—
513C22×C4×C11—21no—
514C22×C4×C11C2411yescharacteristic
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⋊D11—21no—
531C2×C22⋊D11—44no—
532C2×C22⋊D11—44no—
533C2×C22⋊D11—44no—
534C2×C22⋊D11—82no—
535C2×C22⋊D11C2×D411yescharacteristic
536C2×C22⋊D11C2×D411yescharacteristic
537C2×C22⋊D11C2×D411yescharacteristic
538C2×C22⋊D11C2×D411yescharacteristic
539C22×Dic11—21no—
540C22×Dic11—21no—
541C22×Dic11—21no—
542C22×Dic11—21no—
543C22×Dic11—21no—
544C22×Dic11—21no—
545C22×Dic11—21no—
546C22×Dic11—44no—
547C22×Dic11C2×D411yescharacteristic
548Q8×D11—41no—
549Q8×D11—41no—
550Q8×D11—41no—
551Q8×D11—41no—
552#4341—22no—
553#4341—22no—
554#4341—22no—
555#4341—22no—
556#4341—22no—
557#4341—41no—
558#4341—41no—
559#4341—41no—
560#4341—41no—
561#4341—41no—
562#4341—44no—
563#4341—44no—
564#4341—44no—
565D4×D11—22no—
566D4×D11—41no—
567D4×D11—41no—
568D4×D11—41no—
569D4×D11—44no—
570D4×D11—82no—
571#4339—22no—
572#4339—41no—
573#4339—41no—
574#4339—41no—
575#4339—41no—
576#4339—41no—
577#4339—41no—
578#4339—41no—
579C2×D44—21no—
580C2×D44—21no—
581C2×D44—21no—
582C2×D44—21no—
583C2×D44C2×D411yescharacteristic
584C2×D44C2×D411yescharacteristic
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—41no—
596C2×C4×D11—41no—
597C2×C4×D11C2×D411yescharacteristic
598C2×C4×D11C2×D411yescharacteristic
599C2×C4×D11C2411yescharacteristic
600C2×C4×D11C2411yescharacteristic
601C2×C4×D11C2411yescharacteristic
602C2×Dic22—22no—
603C2×Dic22—21no—
604C2×Dic22—21no—
605C2×Dic22—21no—
606C2×Dic22—21no—
607C2×Dic22—41no—
608C2×Dic22C2×D411yescharacteristic
609C2×Dic22C2411yescharacteristic
610C2×Dic22C2411yescharacteristic
611C2×Dic22C2411yescharacteristic
612C2×Dic22C2411yescharacteristic
613C11×SD16—22no—
614C11×SD16—41no—
615C11×SD16—41no—
616C11×M16—41no—
617C2×C8×C11—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⋊C4C2×D411yescharacteristic
629C11×C4⋊C4C2411yescharacteristic
630C11×C4⋊C4C2411yescharacteristic
631C11×C4⋊C4C2411yescharacteristic
632C11×C4⋊C4C2411yescharacteristic
633C11×C22⋊C4—21no—
634C11×C22⋊C4—21no—
635C11×C22⋊C4—21no—
636C11×C22⋊C4—21no—
637C11×C22⋊C4—21no—
638C11×C22⋊C4—21no—
639C11×C22⋊C4C2×D411yescharacteristic
640C11×C22⋊C4C2×D411yescharacteristic
641C42×C11—21no—
642C42×C11—21no—
643C42×C11C2411yescharacteristic
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—22no—
655#4326—41no—
656#4325—41no—
657#4324—22no—
658#4324—22no—
659#4324—41no—
660#4324—41no—
661#4324—41no—
662#4324—41no—
663#4323—22no—
664#4323—41no—
665#4323—41no—
666(C2×D11)⋊C4—21no—
667(C2×D11)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
684(C2×D11)⋊C4C2×D411yescharacteristic
685(C2×D11)⋊C4C2×D411yescharacteristic
686(C2×D11)⋊C4C2×D411yescharacteristic
687(C2×D11)⋊C4C2×D411yescharacteristic
688(C2×D11)⋊C4C2×D411yescharacteristic
689C4⋊Dic11—21no—
690C4⋊Dic11—21no—
691C4⋊Dic11—21no—
692C4⋊Dic11—21no—
693C4⋊Dic11—21no—
694C4⋊Dic11—21no—
695C4⋊Dic11—21no—
696C4⋊Dic11C2×D411yescharacteristic
697C4⋊Dic11C2411yescharacteristic
698C4⋊Dic11C2411yescharacteristic
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×Dic11—21no—
718C4×Dic11—21no—
719C4×Dic11C2411yescharacteristic
720#4318—41no—
721#4318—41no—
722C2×C11⋊C8C2411yescharacteristic
723C2×C11⋊C8C2411yescharacteristic
724C2×C11⋊C8C2411yescharacteristic
725C2×C11⋊C8C2411yescharacteristic
726Dic44—22no—
727Dic44—22no—
728Dic44—41no—
729Dic44—41no—
730D88—41no—
731#4314—22no—
732#4314—41no—
733#4314—41no—
734#4314—41no—
735#4313—41no—
736#4313—41no—
737#4313—41no—
738C8×D11—41no—
739#3541—111no—
740#3488—111no—
741#3333—111no—
742#3327—111no—
743#3324—111no—
744#3322—111no—
745#3314—111no—
746#3313—111no—
747#3310D1111yescharacteristic, complemented
748#3309—111no—
749#3278—111no—
750#3277—111no—
751#3275—111no—
752#3272—111no—
753#3271—111no—
754#3269—111no—
755#3266—111no—
756#3265—111no—
757#3224—111no—
758#3222—111no—
759#3203—111no—
760#3201—111no—
761#3194—111no—
762#3193—111no—
763#3124—111no—
764#3120—111no—
765#3012—111no—
766#3009—111no—
767#3007—111no—
768#3005—111no—
769#2978—111no—
770C23×C11—21no—
771C23×C11—21no—
772C23×C11—21no—
773C23×C11—42no—
774C23×C11—42no—
775C23×C11—42no—
776C23×C11—81no—
777C23×C11—81no—
778C23×C11—81no—
779C23×C11C22×D411yescharacteristic
780C23×C11C22×D411yescharacteristic
781C22×D11—21no—
782C22×D11—21no—
783C22×D11—41no—
784C22×D11—41no—
785C22×D11—41no—
786C22×D11—42no—
787C22×D11—42no—
788C22×D11—81no—
789C22×D11—81no—
790C22×D11—81no—
791C22×D11—81no—
792C22×D11C22×D411yescharacteristic
793C22×D11C22×D411yescharacteristic
794C22×D11C22×D411yescharacteristic
795Q8×C11—21no—
796Q8×C11—21no—
797D4×C11—21no—
798D4×C11—21no—
799D4×C11—21no—
800D4×C11—21no—
801D4×C11—21no—
802D4×C11—41no—
803D4×C11—42no—
804D4×C11—42no—
805D4×C11—42no—
806D4×C11—81no—
807D4×C11—81no—
808D4×C11—81no—
809D4×C11H(5,𝔽2)12yes—
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—21no—
817C2×C4×C11—21no—
818C2×C4×C11—21no—
819C2×C4×C11—81no—
820C2×C4×C11—81no—
821C2×C4×C11C22×D411yescharacteristic
822C2×C4×C11C22×D411yescharacteristic
823C2×C4×C11C22×D411yescharacteristic
824C2×C4×C11C22×D411yescharacteristic
825C2×C4×C11C2511yescharacteristic
826C22⋊D11—24no—
827C22⋊D11—41no—
828C22⋊D11—41no—
829C22⋊D11—41no—
830C22⋊D11—41no—
831C22⋊D11—42no—
832C22⋊D11—42no—
833C22⋊D11—42no—
834C22⋊D11—42no—
835C22⋊D11—42no—
836C22⋊D11—42no—
837C22⋊D11—42no—
838C22⋊D11—42no—
839C22⋊D11—81no—
840C22⋊D11—81no—
841C22⋊D11—81no—
842C22⋊D11—81no—
843C22⋊D11—81no—
844C22⋊D11—81no—
845C2×Dic11—24no—
846C2×Dic11—21no—
847C2×Dic11—21no—
848C2×Dic11—21no—
849C2×Dic11—21no—
850C2×Dic11—21no—
851C2×Dic11—21no—
852C2×Dic11—41no—
853C2×Dic11—42no—
854C2×Dic11—42no—
855C2×Dic11—42no—
856C2×Dic11—42no—
857C2×Dic11—42no—
858C2×Dic11—81no—
859C2×Dic11C22×D411yescharacteristic
860C2×Dic11C22×D411yescharacteristic
861C2×Dic11C22×D411yescharacteristic
862C2×Dic11C22×D411yescharacteristic
863C2×Dic11C22×D411yescharacteristic
864D44—21no—
865D44—21no—
866D44—21no—
867D44—21no—
868D44—41no—
869D44—41no—
870D44—42no—
871D44—81no—
872D44—81no—
873D44—81no—
874C4×D11—21no—
875C4×D11—21no—
876C4×D11—21no—
877C4×D11—21no—
878C4×D11—21no—
879C4×D11—21no—
880C4×D11—41no—
881C4×D11—41no—
882C4×D11—42no—
883C4×D11—81no—
884C4×D11—81no—
885C4×D11—81no—
886C4×D11—81no—
887C4×D11—81no—
888C4×D11—81no—
889C4×D11—81no—
890Dic22—21no—
891Dic22—21no—
892Dic22—21no—
893Dic22—21no—
894Dic22—21no—
895Dic22—21no—
896Dic22—21no—
897Dic22—41no—
898Dic22—42no—
899Dic22—81no—
900Dic22—81no—
901Dic22—81no—
902Dic22H(5,𝔽2)12yes—
903C8×C11—21no—
904C8×C11—21no—
905C8×C11—21no—
906C8×C11—21no—
907C11⋊C8—21no—
908C11⋊C8—21no—
909C11⋊C8—21no—
910C11⋊C8—21no—
911C2×H(5,𝔽2)—111no—
912C22×#41—111no—
913C2×#137—111no—
914C2×#137—111no—
915C2×#137—111no—
916C2×#137—111no—
917C2×AGL(1,ℤ/8)—111no—
918C2×AGL(1,ℤ/8)—111no—
919C2×#135—111no—
920C22×SD16—111no—
921#563—221no—
922#562—221no—
923#556—111no—
924#554—111no—
925#554—221no—
926#553—111no—
927#553—221no—
928#552C2×D1111yescharacteristic, complemented
929#550—111no—
930#550—111no—
931D4×Q8—111no—
932#548—111no—
933#548—111no—
934#548—111no—
935#548—111no—
936#547—111no—
937#546—111no—
938#546—111no—
939#546—221no—
940#546—221no—
941D42—111no—
942D42—221no—
943D42—221no—
944D42C2×D1111yescharacteristic
945#542—111no—
946#542—221no—
947#541—111no—
948#539—221no—
949#538—221no—
950#538—221no—
951#537—111no—
952#537—111no—
953#537—221no—
954#536—111no—
955#535—111no—
956#535—221no—
957#525—111no—
958#525—111no—
959#525—221no—
960C2×C22⋊Q8—111no—
961C2×#121—111no—
962C2×#121—221no—
963#520—111no—
964#497—111no—
965#496—111no—
966#495—111no—
967#492—111no—
968#490C2×D1111yescharacteristic, complemented
969#489—111no—
970#488—111no—
971#486—111no—
972#485—111no—
973#484—111no—
974#484—111no—
975#484—111no—
976#483—111no—
977#482—111no—
978#482—111no—
979#482C2×D1111yescharacteristic, complemented
980#480—111no—
981#480—111no—
982#480—111no—
983#480C2×D1111yescharacteristic, complemented
984#479—111no—
985#478C2×D1111yescharacteristic, complemented
986#477—111no—
987#474—111no—
988#470—111no—
989#469—111no—
990#469—111no—
991#468—111no—
992#468—111no—
993#468—111no—
994#468—111no—
995#468—111no—
996#468—111no—
997#468—111no—
998#468—111no—
999#468C2×D1111yescharacteristic, complemented
1000#467—111no—
1001#467—111no—
1002#466—111no—
1003#465C2×D1111yescharacteristic, complemented
1004#464—111no—
1005#464—111no—
1006#464—111no—
1007#464—111no—
1008#463—111no—
1009#463—111no—
1010#462—111no—
1011#461—111no—
1012#460—111no—
1013#460—111no—
1014#460C2×D1111yescharacteristic, complemented
1015#459—111no—
1016#452—111no—
1017#452—111no—
1018#452—111no—
1019#452—111no—
1020#452—111no—
1021#452—111no—
1022#452—111no—
1023#452—111no—
1024#452—111no—
1025#452—111no—
1026#452—111no—
1027#452—111no—
1028#451—111no—
1029#451—111no—
1030#451—111no—
1031#450—111no—
1032#450—111no—
1033#450—111no—
1034#450—111no—
1035#450—111no—
1036#450—111no—
1037#450C2×D1111yescharacteristic, complemented
1038#450C2×D1111yescharacteristic, complemented
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#447—111no—
1051#447—111no—
1052#441—111no—
1053#440—111no—
1054#440—111no—
1055#440C2×D1111yescharacteristic, complemented
1056C4×Q16—111no—
1057C4×Q16—111no—
1058C4×SD16—111no—
1059C4×D8—111no—
1060#436—111no—
1061#436—111no—
1062#436—111no—
1063#436—111no—
1064#435—111no—
1065#435—111no—
1066#435—111no—
1067#435C2×D1111yescharacteristic, complemented
1068#433—111no—
1069#433—111no—
1070#419—111no—
1071#418—111no—
1072#418C2×D1111yescharacteristic, complemented
1073#417—111no—
1074#417—111no—
1075#417—111no—
1076#416—111no—
1077C2×#102C2×D1111yescharacteristic, complemented
1078#408—111no—
1079#408—111no—
1080#407—111no—
1081#407—111no—
1082C22×C11—21no—
1083C22×C11—21no—
1084C22×C11—21no—
1085C22×C11—21no—
1086C22×C11—21no—
1087C22×C11—21no—
1088C22×C11—22no—
1089C22×C11—41no—
1090C22×C11—41no—
1091C22×C11—41no—
1092C22×C11—41no—
1093C22×C11—41no—
1094C22×C11—41no—
1095C22×C11—41no—
1096C22×C11—41no—
1097C22×C11—84no—
1098C22×C11—162no—
1099C22×C11C23×D411yescharacteristic
1100C2×D11—21no—
1101C2×D11—21no—
1102C2×D11—21no—
1103C2×D11—21no—
1104C2×D11—21no—
1105C2×D11—21no—
1106C2×D11—21no—
1107C2×D11—21no—
1108C2×D11—21no—
1109C2×D11—41no—
1110C2×D11—41no—
1111C2×D11—41no—
1112C2×D11—41no—
1113C2×D11—41no—
1114C2×D11—41no—
1115C2×D11—82no—
1116C2×D11—162no—
1117C2×D11—162no—
1118C4×C11—21no—
1119C4×C11—21no—
1120C4×C11—21no—
1121C4×C11—21no—
1122C4×C11—41no—
1123C4×C11—41no—
1124C4×C11—41no—
1125C4×C11—41no—
1126C4×C11—41no—
1127C4×C11C2×H(5,𝔽2)11yescharacteristic
1128C4×C11C2×H(5,𝔽2)11yescharacteristic
1129Dic11—21no—
1130Dic11—21no—
1131Dic11—22no—
1132Dic11—21no—
1133Dic11—21no—
1134Dic11—21no—
1135Dic11—41no—
1136Dic11—41no—
1137Dic11—41no—
1138Dic11—41no—
1139Dic11—41no—
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—111no—
1149C2×#41—111no—
1150C2×#41—111no—
1151C2×#41—221no—
1152C2×#41—221no—
1153C2×#41—221no—
1154C2×#41—442no—
1155C2×#41—442no—
1156C22×Q8—111no—
1157C22×Q8—111no—
1158C22×Q8—111no—
1159C22×D4—21no—
1160C22×D4—111no—
1161C22×D4—111no—
1162C22×D4—221no—
1163C22×D4—221no—
1164C22×D4—221no—
1165C22×D4—221no—
1166C22×D4—221no—
1167C22×D4—221no—
1168C22×D4C22×D1111yescharacteristic
1169C22×D4C22×D1111yescharacteristic
1170C23×C4—111no—
1171C23×C4—221no—
1172#137—442no—
1173#137—442no—
1174#137—442no—
1175#137—442no—
1176AGL(1,ℤ/8)—442no—
1177AGL(1,ℤ/8)—442no—
1178#135—442no—
1179C2×Q16—111no—
1180C2×Q16—111no—
1181C2×Q16—111no—
1182C2×Q16—111no—
1183C2×Q16—111no—
1184C2×Q16—111no—
1185C2×SD16—111no—
1186C2×SD16—111no—
1187C2×SD16—111no—
1188C2×SD16—111no—
1189C2×SD16—111no—
1190C2×SD16—111no—
1191C2×SD16—111no—
1192C2×SD16—111no—
1193C2×SD16—111no—
1194C2×SD16—111no—
1195C2×SD16—111no—
1196C2×SD16—442no—
1197C2×SD16C22×D1111yescharacteristic
1198C2×SD16C22×D1111yescharacteristic
1199C2×SD16C22×D1111yescharacteristic
1200C2×D8—111no—
1201C2×D8—111no—
1202C2×D8—111no—
1203C2×D8—111no—
1204C2×M16—111no—
1205C2×M16—111no—
1206C2×M16—111no—
1207C2×M16—111no—
1208C2×M16—111no—
1209C2×M16C22×D1111yescharacteristic
1210C22×C8—111no—
1211C22×C8C22×D1111yescharacteristic
1212C4⋊Q8—111no—
1213C4⋊Q8—111no—
1214C4⋊Q8—221no—
1215C4⋊Q8—221no—
1216#127—111no—
1217#127—221no—
1218#127—221no—
1219#127C22×D1111yescharacteristic
1220#126—21no—
1221#126—221no—
1222#126—221no—
1223#126—221no—
1224#126—221no—
1225#126—221no—
1226#126—221no—
1227#125—21no—
1228#125—221no—
1229#125—221no—
1230#125—221no—
1231#125C22×D1111yescharacteristic
1232#124—111no—
1233#124—111no—
1234#124—111no—
1235#124—221no—
1236#124—221no—
1237#124—221no—
1238#124—221no—
1239#124—221no—
1240#124—221no—
1241#124—221no—
1242#123—21no—
1243#123—111no—
1244#123—111no—
1245#123—221no—
1246#123—221no—
1247#123—221no—
1248#123—221no—
1249#123—221no—
1250#123—221no—
1251#123—221no—
1252#123—221no—
1253#123—221no—
1254C22⋊Q8—111no—
1255C22⋊Q8—111no—
1256C22⋊Q8—111no—
1257C22⋊Q8—111no—
1258C22⋊Q8—111no—
1259C22⋊Q8—111no—
1260C22⋊Q8—111no—
1261C22⋊Q8—111no—
1262C22⋊Q8—111no—
1263C22⋊Q8—111no—
1264C22⋊Q8—111no—
1265C22⋊Q8—221no—
1266C22⋊Q8—221no—
1267C22⋊Q8—221no—
1268C22⋊Q8—221no—
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⋊Q8C22×D1111yescharacteristic
1279C22⋊Q8C22×D1111yescharacteristic
1280#121—21no—
1281#121—111no—
1282#121—111no—
1283#121—111no—
1284#121—111no—
1285#121—111no—
1286#121—111no—
1287#121—111no—
1288#121—111no—
1289#121—111no—
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#121—221no—
1310#121—221no—
1311#121—221no—
1312#121—221no—
1313#121C22×D1111yescharacteristic
1314#121C22×D1111yescharacteristic
1315#120—21no—
1316#120—21no—
1317#120—111no—
1318#120—111no—
1319#120—221no—
1320#120—221no—
1321#120—221no—
1322#120—221no—
1323#120—221no—
1324#120—221no—
1325#120—221no—
1326C4×Q8—111no—
1327C4×Q8—111no—
1328C4×Q8—111no—
1329C4×Q8—111no—
1330C4×Q8—221no—
1331C4×Q8C22×D1111yescharacteristic
1332C4×D4—111no—
1333C4×D4—111no—
1334C4×D4—111no—
1335C4×D4—111no—
1336C4×D4—111no—
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×D4—221no—
1349C4×D4—221no—
1350C4×D4C22×D1111yescharacteristic
1351C4×D4C22×D1111yescharacteristic
1352#117—21no—
1353#117—111no—
1354#117—111no—
1355#117—221no—
1356#117C22×D1111yescharacteristic
1357C2×C4⋊C4—111no—
1358C2×C4⋊C4—111no—
1359C2×C4⋊C4—221no—
1360C2×C4⋊C4—221no—
1361C2×C4⋊C4—221no—
1362C2×C4⋊C4C22×D1111yescharacteristic
1363C2×C22⋊C4—221no—
1364C2×C22⋊C4—221no—
1365C2×C22⋊C4—221no—
1366C2×C22⋊C4—221no—
1367#107—111no—
1368#107—111no—
1369#107—111no—
1370#107—111no—
1371#107C22×D1111yescharacteristic
1372#107C22×D1111yescharacteristic
1373#106—111no—
1374#106C22×D1111yescharacteristic
1375C4⋊C8—111no—
1376C4⋊C8—111no—
1377C4⋊C8—111no—
1378C4⋊C8C22×D1111yescharacteristic
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#103—111no—
1390#103—111no—
1391#103—111no—
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#102C22×D1111yescharacteristic
1403#102C22×D1111yescharacteristic
1404#102C22×D1111yescharacteristic
1405#102C22×D1111yescharacteristic
1406#102C22×D1111yescharacteristic
1407#102C22×D1111yescharacteristic
1408#102C22×D1111yescharacteristic
1409#102C22×D1111yescharacteristic
1410#102C22×D1111yescharacteristic
1411C22⋊C8—111no—
1412C22⋊C8—111no—
1413C22⋊C8—111no—
1414C22⋊C8—111no—
1415C22⋊C8—111no—
1416C22⋊C8—111no—
1417C22⋊C8—111no—
1418C22⋊C8—111no—
1419C22⋊C8—111no—
1420C22⋊C8—111no—
1421C22⋊C8C22×D1111yescharacteristic
1422C22⋊C8C22×D1111yescharacteristic
1423#97—111no—
1424#97C22×D1111yescharacteristic
1425C4×C8—111no—
1426C4×C8—111no—
1427C2×C11—41no—
1428C2×C11—42no—
1429C2×C11—41no—
1430C2×C11—81no—
1431C2×C11—81no—
1432C2×C11#348411yescharacteristic
1433C2×C11#358511yescharacteristic
1434C2×C11#358611yescharacteristic
1435D11—41no—
1436D11—41no—
1437D11—41no—
1438D11—81no—
1439D11—81no—
1440C24—21no—
1441C24—21no—
1442C24—111no—
1443C24—221no—
1444C24—221no—
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—441no—
1456#41—441no—
1457#41—441no—
1458#41—441no—
1459#41—441no—
1460#41—441no—
1461#41—441no—
1462#41—441no—
1463#41—444no—
1464#41—444no—
1465#41—444no—
1466C2×Q8—111no—
1467C2×Q8—111no—
1468C2×Q8—111no—
1469C2×Q8—111no—
1470C2×Q8—111no—
1471C2×Q8—221no—
1472C2×Q8—221no—
1473C2×Q8—221no—
1474C2×Q8—222no—
1475C2×Q8—221no—
1476C2×Q8—441no—
1477C2×Q8—441no—
1478C2×Q8—441no—
1479C2×Q8—441no—
1480C2×Q8—441no—
1481C2×Q8C23×D1111yescharacteristic
1482C2×D4—22no—
1483C2×D4—22no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—41no—
1491C2×D4—41no—
1492C2×D4—82no—
1493C2×D4—111no—
1494C2×D4—111no—
1495C2×D4—111no—
1496C2×D4—111no—
1497C2×D4—111no—
1498C2×D4—111no—
1499C2×D4—111no—
1500C2×D4—111no—
1501C2×D4—221no—
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—222no—
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—441no—
1524C2×D4—444no—
1525C2×D4—444no—
1526C2×D4—444no—
1527C2×D4—444no—
1528C2×D4—882no—
1529C2×D4—882no—
1530C2×D4D4×D1111yescharacteristic
1531C2×D4C23×D1111yescharacteristic
1532C2×D4C23×D1111yescharacteristic
1533C2×D4C23×D1111yescharacteristic
1534C22×C4—21no—
1535C22×C4—21no—
1536C22×C4—111no—
1537C22×C4—111no—
1538C22×C4—111no—
1539C22×C4—111no—
1540C22×C4—111no—
1541C22×C4—111no—
1542C22×C4—221no—
1543C22×C4—221no—
1544C22×C4—221no—
1545C22×C4—221no—
1546C22×C4—221no—
1547C22×C4—221no—
1548C22×C4—221no—
1549C22×C4—221no—
1550C22×C4—221no—
1551C22×C4—221no—
1552C22×C4—221no—
1553C22×C4—221no—
1554C22×C4—221no—
1555C22×C4—221no—
1556C22×C4—221no—
1557C22×C4—441no—
1558C22×C4—441no—
1559C22×C4—444no—
1560C22×C4C23×D1111yescharacteristic
1561C22×C4C23×D1111yescharacteristic
1562Q16—222no—
1563Q16—222no—
1564Q16—222no—
1565Q16—441no—
1566Q16—441no—
1567Q16—441no—
1568SD16—22no—
1569SD16—41no—
1570SD16—41no—
1571SD16—222no—
1572SD16—222no—
1573SD16—222no—
1574SD16—441no—
1575SD16—441no—
1576SD16—441no—
1577SD16—441no—
1578SD16—441no—
1579SD16—441no—
1580SD16—441no—
1581SD16—441no—
1582D8—222no—
1583D8—441no—
1584D8—441no—
1585D8—441no—
1586M16—41no—
1587M16—441no—
1588M16—441no—
1589M16—441no—
1590M16—441no—
1591M16—441no—
1592C2×C8—41no—
1593C2×C8—111no—
1594C2×C8—111no—
1595C2×C8—111no—
1596C2×C8—111no—
1597C2×C8—441no—
1598C2×C8C23×D1111yescharacteristic
1599C2×C8C23×D1111yescharacteristic
1600C2×C8C23×D1111yescharacteristic
1601C2×C8C23×D1111yescharacteristic
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
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⋊C4—221no—
1627C4⋊C4—221no—
1628C4⋊C4—221no—
1629C4⋊C4—221no—
1630C4⋊C4—221no—
1631C4⋊C4—221no—
1632C4⋊C4—221no—
1633C4⋊C4D4×D1111yescharacteristic
1634C4⋊C4C23×D1111yescharacteristic
1635C4⋊C4C23×D1111yescharacteristic
1636C4⋊C4C23×D1111yescharacteristic
1637C4⋊C4C23×D1111yescharacteristic
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—21no—
1643C22⋊C4—21no—
1644C22⋊C4—111no—
1645C22⋊C4—111no—
1646C22⋊C4—111no—
1647C22⋊C4—111no—
1648C22⋊C4—111no—
1649C22⋊C4—111no—
1650C22⋊C4—111no—
1651C22⋊C4—111no—
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—
1673C22⋊C4—221no—
1674C22⋊C4—221no—
1675C22⋊C4—221no—
1676C22⋊C4—221no—
1677C22⋊C4D4×D1111yescharacteristic
1678C22⋊C4D4×D1111yescharacteristic
1679C42—21no—
1680C42—21no—
1681C42—111no—
1682C42—221no—
1683C42—221no—
1684C42—221no—
1685C42—221no—
1686C42—221no—
1687C42C23×D1111yescharacteristic
1688C11#6165411yescharacteristic, complemented, Sylow
1689C23—21no—
1690C23—21no—
1691C23—21no—
1692C23—42no—
1693C23—42no—
1694C23—42no—
1695C23—81no—
1696C23—81no—
1697C23—81no—
1698C23—111no—
1699C23—111no—
1700C23—111no—
1701C23—221no—
1702C23—221no—
1703C23—441no—
1704C23—441no—
1705C23—441no—
1706C23—442no—
1707C23—442no—
1708C23—881no—
1709C23—881no—
1710C23—881no—
1711C23—881no—
1712C23C2×D4×D1111yescharacteristic
1713C23C2×D4×D1111yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—112no—
1717Q8—221no—
1718Q8—221no—
1719Q8—221no—
1720Q8—221no—
1721Q8—221no—
1722Q8—221no—
1723Q8—221no—
1724Q8—441no—
1725Q8—442no—
1726Q8—881no—
1727Q8—881no—
1728Q8—881no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—41no—
1735D4—42no—
1736D4—42no—
1737D4—42no—
1738D4—81no—
1739D4—81no—
1740D4—81no—
1741D4—224no—
1742D4—221no—
1743D4—221no—
1744D4—221no—
1745D4—221no—
1746D4—441no—
1747D4—441no—
1748D4—442no—
1749D4—441no—
1750D4—441no—
1751D4—441no—
1752D4—441no—
1753D4—442no—
1754D4—442no—
1755D4—442no—
1756D4—442no—
1757D4—442no—
1758D4—442no—
1759D4—442no—
1760D4—442no—
1761D4—881no—
1762D4—881no—
1763D4—881no—
1764D4—881no—
1765D4—881no—
1766D4—881no—
1767D4—881no—
1768D4—881no—
1769D4—881no—
1770D4#6704212yes—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—21no—
1777C2×C4—21no—
1778C2×C4—21no—
1779C2×C4—21no—
1780C2×C4—81no—
1781C2×C4—81no—
1782C2×C4—111no—
1783C2×C4—111no—
1784C2×C4—111no—
1785C2×C4—111no—
1786C2×C4—111no—
1787C2×C4—224no—
1788C2×C4—221no—
1789C2×C4—221no—
1790C2×C4—221no—
1791C2×C4—221no—
1792C2×C4—221no—
1793C2×C4—221no—
1794C2×C4—221no—
1795C2×C4—221no—
1796C2×C4—221no—
1797C2×C4—221no—
1798C2×C4—221no—
1799C2×C4—221no—
1800C2×C4—441no—
1801C2×C4—441no—
1802C2×C4—442no—
1803C2×C4—441no—
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×C4—881no—
1814C2×C4—881no—
1815C2×C4—881no—
1816C2×C4—881no—
1817C2×C4C2×D4×D1111yescharacteristic
1818C2×C4C2×D4×D1111yescharacteristic
1819C2×C4C2×D4×D1111yescharacteristic
1820C2×C4C2×D4×D1111yescharacteristic
1821C2×C4C24×D1111yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—221no—
1827C8—221no—
1828C8—221no—
1829C8—221no—
1830C22—21no—
1831C22—21no—
1832C22—21no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—22no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—84no—
1846C22—162no—
1847C22—221no—
1848C22—221no—
1849C22—221no—
1850C22—221no—
1851C22—221no—
1852C22—221no—
1853C22—221no—
1854C22—221no—
1855C22—221no—
1856C22—441no—
1857C22—441no—
1858C22—441no—
1859C22—441no—
1860C22—441no—
1861C22—441no—
1862C22—882no—
1863C22—1762no—
1864C22—1762no—
1865C22C22×D4×D1111yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—221no—
1876C4—221no—
1877C4—221no—
1878C4—221no—
1879C4—221no—
1880C4—222no—
1881C4—441no—
1882C4—441no—
1883C4—441no—
1884C4—441no—
1885C4—441no—
1886C4C2×#6704211yescharacteristic
1887C4D11×H(5,𝔽2)11yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—42no—
1891C2—81no—
1892C2—81no—
1893C2—441no—
1894C2—441no—
1895C2—441no—
1896C2—881no—
1897C2—881no—
1898C2#1308224611yescharacteristic
1899C2#1308339211yescharacteristic
1900C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3310C2
socleC22×C11C23×D4
hypercenter#3310D11
hypocenterC11#61654
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #13082912C2semidirect
2. #13082276C2semidirect
3. #13080952C2semidirect
4. #13080878C2semidirect
5. #13080843C2semidirect
6. #13080814C2semidirect
7. #13080693C2semidirect
8. #13080685C2semidirect
9. #13080621C2semidirect
10. #13080285C2semidirect
11. #13080270C2semidirect
12. #13080251C2semidirect
13. #13080212C2semidirect
14. #13080198C2semidirect
15. #13080176C2semidirect
16. #13080128C2semidirect
17. #13080109C2semidirect
18. #13079715C2semidirect
19. #13079689C2semidirect
20. #13079516C2semidirect
21. #13079491C2semidirect
22. #13079434C2semidirect
23. #13079417C2semidirect
24. #13078882C2semidirect
25. #13078835C2semidirect
26. #13077925C2semidirect
27. #13077888C2semidirect
28. #13077871C2semidirect
29. #13077860C2semidirect
30. #13077675C2semidirect
31. C11×#3310C2semidirect
34. C11×#552C22semidirect
40. C2×#66985C22semidirect
41. C2×#66985C22semidirect
42. C2×#66968C22semidirect
43. C2×#66968C22semidirect
44. C2×#66968C22semidirect
45. C2×SD16×D11C22semidirect
46. C2×#66962C22semidirect
47. C2×#66957C22semidirect
52. #10623228C22semidirect
53. #10623226C22semidirect
58. #10623164C22semidirect
59. #10623164C22semidirect
60. #10623159C22semidirect
61. D11×C22⋊Q8C22semidirect
72. #10623113C22semidirect
73. Q8×D44C22semidirect
76. #10623082C22semidirect
80. #10623064C22semidirect
82. #10623055C22semidirect
83. #10623042C22semidirect
84. #10623041C22semidirect
85. C11×#490C22semidirect
86. C11×#482C22semidirect
87. C11×#480C22semidirect
88. C11×#478C22semidirect
89. C11×#468C22semidirect
90. C11×#465C22semidirect
91. C11×#460C22semidirect
92. C11×#450C22semidirect
93. C11×#450C22semidirect
94. C11×#440C22semidirect
95. C11×#435C22semidirect
96. C11×#418C22semidirect
97. C2×C11×#102C22semidirect
98. #10622831C22semidirect
99. #10622831C22semidirect
100. #10622789C22semidirect
102. #10622786C22semidirect
103. #10622783C22semidirect
104. #10622783C22semidirect
105. #10622782C22semidirect
106. #10622781C22semidirect
107. #10622778C22semidirect
108. #10622747C22semidirect
109. #10622741C22semidirect
110. #10622739C22semidirect
111. #10622729C22semidirect
112. #10622724C22semidirect
113. #10622723C22semidirect
114. #10622689C22semidirect
115. #10622685C22semidirect
116. #10622681C22semidirect
117. #10622676C22semidirect
118. #10622665C22semidirect
119. #10622663C22semidirect
120. #10622662C22semidirect
121. #10622660C22semidirect
122. #10622655C22semidirect
123. #10622655C22semidirect
124. #10622650C22semidirect
125. #10622650C22semidirect
126. C4×#4326C22semidirect
127. #10622641C22semidirect
128. #10622632C22semidirect
129. C4×#4323C22semidirect
130. #10622625C22semidirect
131. #10622617C22semidirect
132. #10622616C22semidirect
133. #10622583C22semidirect
134. #10622579C22semidirect
135. #10622500C22semidirect
136. #10622499C22semidirect
137. #10622499C22semidirect
138. #10622497C22semidirect
139. #10622495C22semidirect
140. #10622495C22semidirect
141. #10622488C22semidirect
142. #10622486C22semidirect
143. #10622480C22semidirect
144. #10622478C22semidirect
145. #10622475C22semidirect
146. #10622466C22semidirect
147. #10622462C22semidirect
148. #10622457C22semidirect
149. #10622453C22semidirect
150. #10622451C22semidirect
151. #10622422C22semidirect
152. #10622421C22semidirect
153. #10622419C22semidirect
154. #10622411C22semidirect
155. #10622397C22semidirect
158. #10622396C22semidirect
159. #10622396C22semidirect
160. #10622396C22semidirect
161. #10622396C22semidirect
162. #10622396C22semidirect
163. #10622395C22semidirect
165. #10622394C22semidirect
166. #10622394C22semidirect
167. #10622394C22semidirect
168. #10622394C22semidirect
169. #10622393C22semidirect
170. #10622393C22semidirect
171. #10622389C22semidirect
172. #10622389C22semidirect
173. #10622389C22semidirect
174. #10622388C22semidirect
175. #10622387C22semidirect
176. #10622386C22semidirect
177. #10622386C22semidirect
178. #10622385C22semidirect
179. #10622384C22semidirect
180. #10622384C22semidirect
181. #10622383C22semidirect
182. #10622380C22semidirect
183. #10622380C22semidirect
184. #10622378C22semidirect
185. #10622375C22semidirect
186. #10622375C22semidirect
187. #10622373C22semidirect
188. #10622372C22semidirect
189. #10622371C22semidirect
190. #10622370C22semidirect
191. #10622352C22semidirect
192. #10622347C22semidirect
193. #10622346C22semidirect
194. #10622346C22semidirect
195. #10622342C22semidirect
196. #10622341C22semidirect
197. #10622340C22semidirect
198. #10622339C22semidirect
199. #10622328C22semidirect
200. #10622323C22semidirect
201. #10622322C22semidirect
202. #10622319C22semidirect
747. #3310D11semidirect
928. #552C2×D11semidirect
968. #490C2×D11semidirect
979. #482C2×D11semidirect
983. #480C2×D11semidirect
985. #478C2×D11semidirect
999. #468C2×D11semidirect
1003. #465C2×D11semidirect
1014. #460C2×D11semidirect
1037. #450C2×D11semidirect
1038. #450C2×D11semidirect
1055. #440C2×D11semidirect
1067. #435C2×D11semidirect
1072. #418C2×D11semidirect
1077. C2×#102C2×D11semidirect
1688. C11#61654semidirect

Maximal subgroups

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

subgroupindex
#130829122
#130822762
#130809522
#130808782
#130808432
#130808142
#130806932
#130806852
#130806212
#130802852
#130802702
#130802512
#130802122
#130801982
#130801762
#130801282
#130801092
#130797152
#130796892
#130795162
#130794912
#130794342
#130794172
#130788822
#130788352
#130779252
#130778882
#130778712
#130778602
#130776752
C11×#33102
#6165411