Finite Group Databasebeta

← #15640340

Subgroups — #15640340

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#13082895C211yesmaximal, characteristic, complemented
2#13082284C211yesmaximal, characteristic, complemented
3#13080954C211yesmaximal, characteristic, complemented
4#13080877C211yesmaximal, characteristic, complemented
5#13080850C211yesmaximal, characteristic, complemented
6#13080812C211yesmaximal, characteristic, complemented
7#13080699C211yesmaximal, characteristic, complemented
8#13080687C211yesmaximal, characteristic, complemented
9#13080643C211yesmaximal, characteristic, complemented
10#13080615C211yesmaximal, characteristic, complemented
11#13080276C211yesmaximal, characteristic, complemented
12#13080268C211yesmaximal, characteristic, complemented
13#13080248C211yesmaximal, characteristic, complemented
14#13080209C211yesmaximal, characteristic, complemented
15#13080171C211yesmaximal, characteristic, complemented
16#13080129C211yesmaximal, characteristic, complemented
17#13080110C211yesmaximal, characteristic, complemented
18#13079705C211yesmaximal, characteristic, complemented
19#13079687C211yesmaximal, characteristic, complemented
20#13079515C211yesmaximal, characteristic, complemented
21#13079491C211yesmaximal, characteristic, complemented
22#13079425C211yesmaximal, characteristic, complemented
23#13079420C211yesmaximal, characteristic, complemented
24#13078877C211yesmaximal, characteristic, complemented
25#13078828C211yesmaximal, characteristic, complemented
26#13077916C211yesmaximal, characteristic, complemented
27#13077890C211yesmaximal, characteristic, complemented
28#13077872C211yesmaximal, characteristic, complemented
29#13077854C211yesmaximal, characteristic, complemented
30#13077675C211yesmaximal, characteristic, complemented
31C11×#3271C211yesmaximal, characteristic, complemented
32C2×#67042C2211yescharacteristic
33C2×#41×D11C2211yescharacteristic
34C2×C11×#137C2211yescharacteristic, complemented
35C2×C11×#135C2211yescharacteristic, complemented
36C11×#550C2211yescharacteristic
37C11×#548C2211yescharacteristic, complemented
38#10623365C2211yescharacteristic
39#10623364C2211yescharacteristic, complemented
40#10623362C2211yescharacteristic
41#10623355C2211yescharacteristic, complemented
42C2×#67002C2211yescharacteristic, complemented
43Q8×C22⋊D11C2211yescharacteristic, complemented
44C2×#66999C2211yescharacteristic, complemented
45C2×#66995C2211yescharacteristic, complemented
46C2×#66971C2211yescharacteristic, complemented
47C2×#66968C2211yescharacteristic, complemented
48C2×SD16×D11C2211yescharacteristic, complemented
49C2×#66964C2211yescharacteristic, complemented
50#10623248—21no—
51#10623248C2211yescharacteristic
52#10623246—21no—
53#10623246C2211yescharacteristic
54#10623215—21no—
55#10623213C2211yescharacteristic, complemented
56#10623208C2211yescharacteristic, complemented
57#10623200—21no—
58#10623177—21no—
59#10623176—21no—
60#10623173C2211yescharacteristic, complemented
61#10623159C2211yescharacteristic, complemented
62#10623149C2211yescharacteristic, complemented
63#10623148—21no—
64#10623143—21no—
65#10623143C2211yescharacteristic
66#10623140—21no—
67#10623140C2211yescharacteristic
68#10623139—21no—
69#10623139C2211yescharacteristic
70#10623137C2211yescharacteristic, complemented
71D11×#121—21no—
72D11×#121C2211yescharacteristic
73#10623132—21no—
74#10623115C2211yescharacteristic, complemented
75#10623114C2211yescharacteristic, complemented
76#10623107C2211yescharacteristic
77#10623105C2211yescharacteristic
78#10623091—21no—
79#10623081—21no—
80#10623081C2211yescharacteristic
81#10623078—21no—
82#10623078C2211yescharacteristic
83#10623074C2211yescharacteristic, complemented
84#10623070—21no—
85C11×#496C2211yescharacteristic, complemented
86C11×#469C2211yescharacteristic, complemented
87C11×#465C2211yescharacteristic, complemented
88C11×#464C2211yescharacteristic, complemented
89C11×#460C2211yescharacteristic, complemented
90C11×#452C2211yescharacteristic, complemented
91C11×#449C2211yescharacteristic, complemented
92C11×#449C2211yescharacteristic, complemented
93C11×#448C2211yescharacteristic, complemented
94C11×#441C2211yescharacteristic, complemented
95C11×#435C2211yescharacteristic, complemented
96#10622852C2211yescharacteristic, complemented
97#10622852C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic, complemented
99#10622845C2211yescharacteristic, complemented
100#10622845C2211yescharacteristic, complemented
101#10622840C2211yescharacteristic, complemented
102#10622800C2211yescharacteristic
103#10622800C2211yescharacteristic
104#10622800C2211yescharacteristic, complemented
105#10622799C2211yescharacteristic, complemented
106#10622799C2211yescharacteristic, complemented
107Q16×Dic11C2211yescharacteristic, complemented
108#10622795C2211yescharacteristic, complemented
109#10622788C2211yescharacteristic, complemented
110#10622787C2211yescharacteristic, complemented
111#10622787C2211yescharacteristic, complemented
112#10622787C2211yescharacteristic, complemented
113#10622786C2211yescharacteristic, complemented
114#10622786C2211yescharacteristic, complemented
115#10622785C2211yescharacteristic
116#10622785C2211yescharacteristic, complemented
117#10622783C2211yescharacteristic, complemented
118#10622782C2211yescharacteristic, complemented
119#10622782C2211yescharacteristic, complemented
120#10622782C2211yescharacteristic, complemented
121#10622782C2211yescharacteristic, complemented
122#10622782C2211yescharacteristic, complemented
123#10622780C2211yescharacteristic, complemented
124#10622779C2211yescharacteristic, complemented
125#10622777C2211yescharacteristic, complemented
126#10622776C2211yescharacteristic, complemented
127#10622771C2211yescharacteristic, complemented
128#10622771C2211yescharacteristic, complemented
129#10622770C2211yescharacteristic, complemented
130#10622769C2211yescharacteristic, complemented
131#10622769C2211yescharacteristic, complemented
132#10622766C2211yescharacteristic, complemented
133#10622763C2211yescharacteristic, complemented
134#10622747C2211yescharacteristic, complemented
135#10622746C2211yescharacteristic, complemented
136#10622741C2211yescharacteristic, complemented
137#10622739C2211yescharacteristic, complemented
138#10622729C2211yescharacteristic, complemented
139C2×#66885C2211yescharacteristic, complemented
140#10622724C2211yescharacteristic, complemented
141#10622723C2211yescharacteristic, complemented
142#10622688C2211yescharacteristic, complemented
143#10622683C2211yescharacteristic, complemented
144#10622672C2211yescharacteristic, complemented
145#10622670C2211yescharacteristic, complemented
146#10622665C2211yescharacteristic, complemented
147#10622659C2211yescharacteristic, complemented
148#10622655C2211yescharacteristic, complemented
149#10622655C2211yescharacteristic, complemented
150#10622652C2211yescharacteristic, complemented
151#10622650C2211yescharacteristic, complemented
152#10622646C2211yescharacteristic, complemented
153#10622646C2211yescharacteristic, complemented
154C4×#4326C2211yescharacteristic, complemented
155#10622641C2211yescharacteristic, complemented
156C4×#4325C2211yescharacteristic, complemented
157#10622634C2211yescharacteristic, complemented
158#10622625C2211yescharacteristic, complemented
159#10622484C2211yescharacteristic, complemented
160#10622480C2211yescharacteristic, complemented
161#10622479C2211yescharacteristic, complemented
162#10622475C2211yescharacteristic, complemented
163#10622459C2211yescharacteristic, complemented
164#10622458C2211yescharacteristic, complemented
165#10622453C2211yescharacteristic, complemented
166#10622451C2211yescharacteristic, complemented
167#10622431C2211yescharacteristic, complemented
168#10622430C2211yescharacteristic, complemented
169#10622426C2211yescharacteristic, complemented
170#10622425C2211yescharacteristic, complemented
171#10622425C2211yescharacteristic, complemented
172#10622423C2211yescharacteristic
173#10622422C2211yescharacteristic, complemented
174#10622422C2211yescharacteristic, complemented
175#10622421C2211yescharacteristic, complemented
176#10622417C2211yescharacteristic, complemented
177#10622415C2211yescharacteristic, complemented
178#10622409C2211yescharacteristic, complemented
179#10622397C2211yescharacteristic, complemented
180#10622397C2211yescharacteristic, complemented
181#10622396C2211yescharacteristic, complemented
182#10622394C2211yescharacteristic, complemented
183#10622393C2211yescharacteristic, complemented
184#10622389C2211yescharacteristic, complemented
185#10622387C2211yescharacteristic, complemented
186#10622383C2211yescharacteristic, complemented
187#10622383C2211yescharacteristic, complemented
188#10622381C2211yescharacteristic, complemented
189#10622377C2211yescharacteristic, complemented
190#10622369C2211yescharacteristic, complemented
191#10622349C2211yescharacteristic, complemented
192#10622346C2211yescharacteristic, complemented
193#10622344C2211yescharacteristic, complemented
194#10622342C2211yescharacteristic, complemented
195#10622341C2211yescharacteristic, complemented
196#10622340C2211yescharacteristic, complemented
197#10622339C2211yescharacteristic, complemented
198#10622335C2211yescharacteristic, complemented
199#10622327C2211yescharacteristic, complemented
200#10622323C2211yescharacteristic, complemented
201#10622322C2211yescharacteristic, complemented
202#10622319C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C2×C11×#41C2311yescharacteristic
206C22×Q8×C11C2311yescharacteristic
207#67042—42no—
208#67042—42no—
209#41×D11—42no—
210#41×D11—42no—
211C2×#4343C2311yescharacteristic
212C2×#4343C2311yescharacteristic
213C2×Q8×D11C2311yescharacteristic
214C2×Q8×D11C2311yescharacteristic
215C2×#4341—21no—
216C2×#4341C2311yescharacteristic
217C2×#4341C2311yescharacteristic
218C2×D4×D11—21no—
219C2×D4×D11—21no—
220C2×D4×D11—21no—
221C2×D4×D11—21no—
222C2×D4×D11—21no—
223C2×D4×D11—21no—
224C2×D4×D11C2311yescharacteristic
225C2×D4×D11C2311yescharacteristic
226C2×D4×D11C2311yescharacteristic
227C2×#4339—21no—
228C2×#4339—21no—
229C2×#4339C2311yescharacteristic
230C2×#4339C2311yescharacteristic
231C22×D44—21no—
232C22×D44C2311yescharacteristic
233C22×C4×D11—21no—
234C22×C4×D11C2311yescharacteristic
235C11×#137—42no—
236C11×#135—42no—
237C2×C11×Q16C2311yescharacteristic
238C2×C11×Q16C2311yescharacteristic
239C2×C11×SD16C2311yescharacteristic
240C2×C11×SD16C2311yescharacteristic
241C2×C11×SD16C2311yescharacteristic
242C2×C11×SD16C2311yescharacteristic
243C2×C11×SD16C2311yescharacteristic
244C2×C11×D8C2311yescharacteristic
245C2×C11×D8C2311yescharacteristic
246C2×C11×M16C2311yescharacteristic
247C22×C8×C11C2311yescharacteristic
248C11×#127—21no—
249C11×#127C2311yescharacteristic
250C11×#124—21no—
251C11×#124C2311yescharacteristic
252C11×C22⋊Q8—21no—
253C11×C22⋊Q8C2311yescharacteristic
254C11×#121—21no—
255C11×#121—21no—
256C11×#121—21no—
257C11×#121C2311yescharacteristic
258C11×#121C2311yescharacteristic
259C11×#121C2311yescharacteristic
260C4×Q8×C11C2311yescharacteristic
261C4×Q8×C11C2311yescharacteristic
262C4×D4×C11—21no—
263C4×D4×C11—21no—
264C4×D4×C11C2311yescharacteristic
265#67002—42no—
266#66999—21no—
267#66999—21no—
268#66999—21no—
269#66999C2311yescharacteristic
270#66999C2311yescharacteristic
271#66999C2311yescharacteristic
272#66999C2311yescharacteristic
273#66999C2311yescharacteristic
274Q8×Dic11C2311yescharacteristic
275Q8×Dic11C2311yescharacteristic
276#66997—21no—
277#66997C2311yescharacteristic
278C2×#4326C2311yescharacteristic
279C2×#4326C2311yescharacteristic
280C2×#4326C2311yescharacteristic
281#66995—42no—
282C2×#4325C2311yescharacteristic
283C2×#4325C2311yescharacteristic
284C2×#4325C2311yescharacteristic
285C2×#4325C2311yescharacteristic
286#66993—21no—
287#66993C2311yescharacteristic
288#66992—21no—
289#66992—21no—
290#66992—21no—
291#66992—21no—
292#66992—21no—
293#66992—21no—
294#66992—21no—
295#66992—21no—
296#66992D411yescharacteristic
297#66991—21no—
298#66991—21no—
299#66991—21no—
300#66991—21no—
301#66991—21no—
302#66991C2311yescharacteristic
303#66991C2311yescharacteristic
304#66991C2311yescharacteristic
305#66991C2311yescharacteristic
306#66990—21no—
307#66990—21no—
308#66990—21no—
309#66990—21no—
310#66990—21no—
311#66990—21no—
312#66990—21no—
313#66990—21no—
314#66990D411yescharacteristic
315#66989—21no—
316#66989C2311yescharacteristic
317#66988—21no—
318D4×Dic11—21no—
319D4×Dic11—21no—
320D4×Dic11—21no—
321D4×Dic11C2311yescharacteristic
322C2×#4324C2311yescharacteristic
323C2×#4324C2311yescharacteristic
324C2×#4324C2311yescharacteristic
325C2×#4323C2311yescharacteristic
326C2×#4323C2311yescharacteristic
327#66983—21no—
328#66983—21no—
329#66983C2311yescharacteristic
330#66982—21no—
331C4×C22⋊D11—21no—
332C4×C22⋊D11—21no—
333C4×C22⋊D11—21no—
334C4×C22⋊D11C2311yescharacteristic
335C4×C22⋊D11C2311yescharacteristic
336C2×(C2×D11)⋊C4—21no—
337C2×C4⋊Dic11C2311yescharacteristic
338C2×C4⋊Dic11C2311yescharacteristic
339#66977—21no—
340#66977—21no—
341#66977—21no—
342#66977C2311yescharacteristic
343#66977C2311yescharacteristic
344#66977C2311yescharacteristic
345C2×Dic11⋊C4—21no—
346C2×Dic11⋊C4—21no—
347C2×#4318C2311yescharacteristic
348C2×#4318C2311yescharacteristic
349#66971—42no—
350#66968—42no—
351SD16×D11—42no—
352#66964—42no—
353C2×Dic44C2311yescharacteristic
354C2×#4314C2311yescharacteristic
355C2×#4314C2311yescharacteristic
356C2×#4313C2311yescharacteristic
357C2×#4313C2311yescharacteristic
358C2×#4313C2311yescharacteristic
359C2×C8×D11C2311yescharacteristic
360#66951—21no—
361#66951—21no—
362#66951—21no—
363#66951—21no—
364#66950—21no—
365#66950C2311yescharacteristic
366#66950C2311yescharacteristic
367#66949D411yescharacteristic
368#66948—21no—
369#66948C2311yescharacteristic
370#66947—21no—
371#66947—21no—
372#66947D411yescharacteristic
373#66946—21no—
374#66946C2311yescharacteristic
375#66945C2311yescharacteristic
376#66945C2311yescharacteristic
377C4⋊C4×D11—21no—
378C4⋊C4×D11C2311yescharacteristic
379#66943—21no—
380#66943—21no—
381#66943C2311yescharacteristic
382#66942—21no—
383#66941—21no—
384#66939—21no—
385#66939—21no—
386#66939—21no—
387#66938—21no—
388#66938—21no—
389#66938—21no—
390#66937—21no—
391#66937—21no—
392#66937—21no—
393#66937—21no—
394#66937—21no—
395#66937D411yescharacteristic
396#66936—21no—
397#66936—21no—
398#66936—21no—
399#66936D411yescharacteristic
400#66935—21no—
401#66935D411yescharacteristic
402(C22⋊D11)⋊C4—21no—
403(C22⋊D11)⋊C4—21no—
404C22⋊C4×D11—21no—
405C22⋊C4×D11—21no—
406C22⋊C4×D11—21no—
407#66932—21no—
408#66932—21no—
409#66931—21no—
410#66931—21no—
411#66931—21no—
412#66931—21no—
413#66931—21no—
414#66931D411yescharacteristic
415#66930—21no—
416#66929—21no—
417#66928—21no—
418#66928—21no—
419#66928C2311yescharacteristic
420C4×D44—21no—
421C4×D44—21no—
422C4×D44C2311yescharacteristic
423C4×D44C2311yescharacteristic
424#66925—21no—
425#66925C2311yescharacteristic
426#66923—21no—
427#66922C2311yescharacteristic
428C4×Dic22—21no—
429C4×Dic22C2311yescharacteristic
430C11×#106C2311yescharacteristic
431C11×C4⋊C8C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×C22⋊C8C2311yescharacteristic
439C11×C22⋊C8C2311yescharacteristic
440C11×#97C2311yescharacteristic
441#66899C2311yescharacteristic
442#66899C2311yescharacteristic
443#66899C2311yescharacteristic
444#66899C2311yescharacteristic
445#66899C2311yescharacteristic
446#66896C2311yescharacteristic
447#66896C2311yescharacteristic
448#66896C2311yescharacteristic
449#66896C2311yescharacteristic
450#66896C2311yescharacteristic
451#66896C2311yescharacteristic
452#66896C2311yescharacteristic
453C22⋊(C11⋊C8)C2311yescharacteristic
454C22⋊(C11⋊C8)C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
457#66885C2311yescharacteristic
458#66885C2311yescharacteristic
459#66885C2311yescharacteristic
460#66885C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463(C2×D11)⋊C8C2311yescharacteristic
464(C2×D11)⋊C8C2311yescharacteristic
465(C2×D11)⋊C8C2311yescharacteristic
466(C2×D11)⋊C8C2311yescharacteristic
467(C2×D11)⋊C8C2311yescharacteristic
468(C2×D11)⋊C8C2311yescharacteristic
469#66882C2311yescharacteristic
470#66882C2311yescharacteristic
471#66882C2311yescharacteristic
472#66880C2311yescharacteristic
473#66880C2311yescharacteristic
474#66880C2311yescharacteristic
475#66880C2311yescharacteristic
476#66879C2311yescharacteristic
477Dic11⋊C8C2311yescharacteristic
478Dic11⋊C8C2311yescharacteristic
479C8×Dic11C2311yescharacteristic
480#66874C2311yescharacteristic
481#66874C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66871C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489C4×C11⋊C8C2311yescharacteristic
490#61654—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C23×D11—21no—
495C23×D11C2×D411yescharacteristic
496C11×#41—22no—
497C11×#41—22no—
498C11×#41—41no—
499C11×#41—41no—
500C11×#41—41no—
501C11×#41—41no—
502C2×Q8×C11—21no—
503C2×Q8×C11—41no—
504C2×Q8×C11—41no—
505C2×Q8×C11C2411yescharacteristic
506C2×Q8×C11C2411yescharacteristic
507C2×Q8×C11C2411yescharacteristic
508C2×D4×C11—21no—
509C2×D4×C11—21no—
510C2×D4×C11—21no—
511C2×D4×C11—21no—
512C2×D4×C11—21no—
513C2×D4×C11—21no—
514C2×D4×C11—21no—
515C2×D4×C11—21no—
516C2×D4×C11C2×D411yescharacteristic
517C2×D4×C11C2411yescharacteristic
518C2×D4×C11C2411yescharacteristic
519C2×D4×C11C2411yescharacteristic
520C22×C4×C11—21no—
521C22×C4×C11—21no—
522C22×C4×C11—21no—
523C22×C4×C11—21no—
524C22×C4×C11C2411yescharacteristic
525C22×C4×C11C2411yescharacteristic
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—21no—
537C2×C22⋊D11—21no—
538C2×C22⋊D11—21no—
539C2×C22⋊D11C2×D411yescharacteristic
540C2×C22⋊D11C2×D411yescharacteristic
541C2×C22⋊D11C2×D411yescharacteristic
542C2×C22⋊D11C2×D411yescharacteristic
543C22×Dic11—21no—
544C22×Dic11—21no—
545C22×Dic11—21no—
546C22×Dic11—21no—
547C22×Dic11—21no—
548C22×Dic11C2×D411yescharacteristic
549#4343—22no—
550#4343—22no—
551#4343—22no—
552#4343—41no—
553Q8×D11—22no—
554Q8×D11—41no—
555Q8×D11—41no—
556Q8×D11—41no—
557#4341—41no—
558#4341—41no—
559#4341—41no—
560#4341—41no—
561#4341—44no—
562D4×D11—22no—
563D4×D11—22no—
564D4×D11—41no—
565D4×D11—41no—
566D4×D11—41no—
567D4×D11—41no—
568D4×D11—44no—
569D4×D11—44no—
570D4×D11—44no—
571D4×D11—82no—
572D4×D11—82no—
573D4×D11—82no—
574#4339—22no—
575#4339—41no—
576#4339—41no—
577#4339—41no—
578#4339—44no—
579#4339—44no—
580C2×D44—21no—
581C2×D44—21no—
582C2×D44—21no—
583C2×D44—22no—
584C2×D44—21no—
585C2×D44—41no—
586C2×D44—44no—
587C2×D44C2×D411yescharacteristic
588C2×D44C2×D411yescharacteristic
589C2×D44C2411yescharacteristic
590C2×D44C2411yescharacteristic
591C2×C4×D11—21no—
592C2×C4×D11—21no—
593C2×C4×D11—21no—
594C2×C4×D11—21no—
595C2×C4×D11—21no—
596C2×C4×D11—21no—
597C2×C4×D11—21no—
598C2×C4×D11—21no—
599C2×C4×D11—41no—
600C2×C4×D11—41no—
601C2×C4×D11—44no—
602C2×C4×D11C2×D411yescharacteristic
603C2×C4×D11C2×D411yescharacteristic
604C2×C4×D11C2411yescharacteristic
605C2×C4×D11C2411yescharacteristic
606C2×C4×D11C2411yescharacteristic
607C2×Dic22—21no—
608C2×Dic22—21no—
609C2×Dic22—21no—
610C2×Dic22C2×D411yescharacteristic
611C2×Dic22C2411yescharacteristic
612C2×Dic22C2411yescharacteristic
613C11×Q16—22no—
614C11×Q16—22no—
615C11×SD16—22no—
616C11×SD16—41no—
617C11×SD16—41no—
618C11×SD16—41no—
619C11×SD16—41no—
620C11×D8—41no—
621C11×D8—41no—
622C11×M16—41no—
623C2×C8×C11—41no—
624C2×C8×C11C2411yescharacteristic
625C2×C8×C11C2411yescharacteristic
626C2×C8×C11C2411yescharacteristic
627C2×C8×C11C2411yescharacteristic
628C11×C4⋊C4—21no—
629C11×C4⋊C4—21no—
630C11×C4⋊C4—21no—
631C11×C4⋊C4C2×D411yescharacteristic
632C11×C4⋊C4C2411yescharacteristic
633C11×C4⋊C4C2411yescharacteristic
634C11×C22⋊C4—21no—
635C11×C22⋊C4—21no—
636C11×C22⋊C4—21no—
637C11×C22⋊C4—21no—
638C11×C22⋊C4—21no—
639C11×C22⋊C4—21no—
640C11×C22⋊C4C2×D411yescharacteristic
641C11×C22⋊C4C2×D411yescharacteristic
642C42×C11—21no—
643C42×C11—21no—
644C42×C11C2411yescharacteristic
645C22⋊Dic11—21no—
646C22⋊Dic11—21no—
647C22⋊Dic11—21no—
648C22⋊Dic11—21no—
649C22⋊Dic11—21no—
650C22⋊Dic11—21no—
651C22⋊Dic11—21no—
652C22⋊Dic11—21no—
653C22⋊Dic11—21no—
654C22⋊Dic11—21no—
655C22⋊Dic11C2×D411yescharacteristic
656C22⋊Dic11C2×D411yescharacteristic
657#4326—22no—
658#4326—41no—
659#4326—41no—
660#4325—22no—
661#4325—22no—
662#4325—41no—
663#4325—41no—
664#4324—41no—
665#4324—41no—
666#4324—41no—
667#4323—22no—
668#4323—41no—
669(C2×D11)⋊C4—21no—
670(C2×D11)⋊C4—21no—
671(C2×D11)⋊C4—21no—
672(C2×D11)⋊C4—21no—
673(C2×D11)⋊C4—21no—
674(C2×D11)⋊C4—21no—
675(C2×D11)⋊C4—21no—
676(C2×D11)⋊C4—21no—
677(C2×D11)⋊C4—21no—
678(C2×D11)⋊C4—21no—
679(C2×D11)⋊C4—21no—
680(C2×D11)⋊C4—21no—
681(C2×D11)⋊C4—21no—
682(C2×D11)⋊C4—21no—
683(C2×D11)⋊C4—21no—
684(C2×D11)⋊C4C2×D411yescharacteristic
685(C2×D11)⋊C4C2×D411yescharacteristic
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⋊Dic11—21no—
695C4⋊Dic11—21no—
696C4⋊Dic11—21no—
697C4⋊Dic11—21no—
698C4⋊Dic11C2×D411yescharacteristic
699C4⋊Dic11C2411yescharacteristic
700C4⋊Dic11C2411yescharacteristic
701C4⋊Dic11C2411yescharacteristic
702C4⋊Dic11C2411yescharacteristic
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4—21no—
711Dic11⋊C4—21no—
712Dic11⋊C4—21no—
713Dic11⋊C4—21no—
714Dic11⋊C4—21no—
715Dic11⋊C4—21no—
716Dic11⋊C4C2×D411yescharacteristic
717Dic11⋊C4C2×D411yescharacteristic
718Dic11⋊C4C2×D411yescharacteristic
719Dic11⋊C4C2×D411yescharacteristic
720C4×Dic11—21no—
721C4×Dic11—21no—
722C4×Dic11—21no—
723C4×Dic11—21no—
724C4×Dic11—21no—
725C4×Dic11C2411yescharacteristic
726#4318—41no—
727#4318—41no—
728C2×C11⋊C8C2411yescharacteristic
729C2×C11⋊C8C2411yescharacteristic
730C2×C11⋊C8C2411yescharacteristic
731C2×C11⋊C8C2411yescharacteristic
732Dic44—41no—
733#4314—22no—
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#3310—111no—
748#3309—111no—
749#3278—111no—
750#3277—111no—
751#3275—111no—
752#3272—111no—
753#3271D1111yescharacteristic, complemented
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×C11C22×D411yescharacteristic
774C23×C11C22×D411yescharacteristic
775C22×D11—21no—
776C22×D11—21no—
777C22×D11—41no—
778C22×D11—41no—
779C22×D11—41no—
780C22×D11—42no—
781C22×D11—42no—
782C22×D11—42no—
783C22×D11—42no—
784C22×D11—42no—
785C22×D11—81no—
786C22×D11—81no—
787C22×D11—81no—
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—
797Q8×C11—21no—
798Q8×C11—21no—
799Q8×C11—21no—
800Q8×C11—81no—
801Q8×C11H(5,𝔽2)12yes—
802D4×C11—21no—
803D4×C11—21no—
804D4×C11—21no—
805D4×C11—21no—
806D4×C11—21no—
807D4×C11—21no—
808D4×C11—41no—
809D4×C11—42no—
810D4×C11—42no—
811D4×C11—42no—
812D4×C11—81no—
813D4×C11—81no—
814D4×C11—81no—
815D4×C11—81no—
816D4×C11—81no—
817C2×C4×C11—21no—
818C2×C4×C11—21no—
819C2×C4×C11—21no—
820C2×C4×C11—21no—
821C2×C4×C11—21no—
822C2×C4×C11—21no—
823C2×C4×C11—21no—
824C2×C4×C11—21no—
825C2×C4×C11—21no—
826C2×C4×C11—42no—
827C2×C4×C11—42no—
828C2×C4×C11—81no—
829C2×C4×C11—81no—
830C2×C4×C11C22×D411yescharacteristic
831C2×C4×C11C22×D411yescharacteristic
832C2×C4×C11C22×D411yescharacteristic
833C2×C4×C11C22×D411yescharacteristic
834C2×C4×C11C2511yescharacteristic
835C22⋊D11—41no—
836C22⋊D11—41no—
837C22⋊D11—41no—
838C22⋊D11—41no—
839C22⋊D11—42no—
840C22⋊D11—42no—
841C22⋊D11—42no—
842C22⋊D11—42no—
843C22⋊D11—42no—
844C22⋊D11—42no—
845C22⋊D11—81no—
846C22⋊D11—81no—
847C22⋊D11—81no—
848C22⋊D11—81no—
849C22⋊D11—81no—
850C22⋊D11—81no—
851C22⋊D11—81no—
852C2×Dic11—21no—
853C2×Dic11—21no—
854C2×Dic11—21no—
855C2×Dic11—21no—
856C2×Dic11—21no—
857C2×Dic11—21no—
858C2×Dic11—41no—
859C2×Dic11—42no—
860C2×Dic11—81no—
861C2×Dic11—81no—
862C2×Dic11—81no—
863C2×Dic11—81no—
864C2×Dic11C22×D411yescharacteristic
865C2×Dic11C22×D411yescharacteristic
866C2×Dic11C22×D411yescharacteristic
867C2×Dic11C22×D411yescharacteristic
868C2×Dic11C22×D411yescharacteristic
869D44—24no—
870D44—21no—
871D44—21no—
872D44—21no—
873D44—41no—
874D44—41no—
875D44—42no—
876D44—42no—
877D44—42no—
878D44H(5,𝔽2)12yes—
879C4×D11—24no—
880C4×D11—21no—
881C4×D11—21no—
882C4×D11—21no—
883C4×D11—21no—
884C4×D11—21no—
885C4×D11—21no—
886C4×D11—41no—
887C4×D11—41no—
888C4×D11—42no—
889C4×D11—42no—
890C4×D11—42no—
891C4×D11—81no—
892C4×D11—81no—
893C4×D11—81no—
894C4×D11—81no—
895Dic22—21no—
896Dic22—21no—
897Dic22—21no—
898Dic22—21no—
899Dic22—41no—
900Dic22—42no—
901Dic22—81no—
902Dic22—81no—
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×#137C2×D1111yescharacteristic, complemented
917C2×AGL(1,ℤ/8)—111no—
918C2×AGL(1,ℤ/8)—111no—
919C2×#135C2×D1111yescharacteristic, complemented
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#552—111no—
929#550—111no—
930#550C2×D1111yescharacteristic
931D4×Q8—111no—
932#548—111no—
933#548—111no—
934#548—111no—
935#548C2×D1111yescharacteristic, complemented
936#547—111no—
937#546—111no—
938#546—111no—
939#546—221no—
940#546—221no—
941D42—111no—
942D42—111no—
943D42—221no—
944D42—221no—
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#496C2×D1111yescharacteristic, complemented
966#495—111no—
967#492—111no—
968#490—111no—
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#482—111no—
980#480—111no—
981#480—111no—
982#480—111no—
983#480—111no—
984#479—111no—
985#478—111no—
986#477—111no—
987#474—111no—
988#470—111no—
989#469—111no—
990#469C2×D1111yescharacteristic, complemented
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#468—111no—
1000#467—111no—
1001#467—111no—
1002#466—111no—
1003#465C2×D1111yescharacteristic, complemented
1004#464—111no—
1005#464—111no—
1006#464—111no—
1007#464C2×D1111yescharacteristic, complemented
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#452C2×D1111yescharacteristic, complemented
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#450—111no—
1038#450—111no—
1039#449—111no—
1040#449—111no—
1041#449—111no—
1042#449—111no—
1043#449—111no—
1044#449—111no—
1045#449C2×D1111yescharacteristic, complemented
1046#449C2×D1111yescharacteristic, complemented
1047#448—111no—
1048#448—111no—
1049#448C2×D1111yescharacteristic, complemented
1050#447—111no—
1051#447—111no—
1052#441C2×D1111yescharacteristic, complemented
1053#440—111no—
1054#440—111no—
1055#440—111no—
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#418—111no—
1073#417—111no—
1074#417—111no—
1075#417—111no—
1076#416—111no—
1077C2×#102—111no—
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—41no—
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×C11C23×D411yescharacteristic
1098C2×D11—21no—
1099C2×D11—21no—
1100C2×D11—21no—
1101C2×D11—21no—
1102C2×D11—21no—
1103C2×D11—21no—
1104C2×D11—22no—
1105C2×D11—21no—
1106C2×D11—21no—
1107C2×D11—21no—
1108C2×D11—41no—
1109C2×D11—41no—
1110C2×D11—41no—
1111C2×D11—41no—
1112C2×D11—41no—
1113C2×D11—82no—
1114C2×D11—84no—
1115C2×D11—162no—
1116C2×D11—162no—
1117C2×D11—162no—
1118C4×C11—21no—
1119C4×C11—21no—
1120C4×C11—21no—
1121C4×C11—21no—
1122C4×C11—22no—
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—21no—
1132Dic11—21no—
1133Dic11—21no—
1134Dic11—41no—
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—221no—
1149C2×#41—221no—
1150C2×#41—221no—
1151C2×#41—442no—
1152C2×#41—442no—
1153C2×#41C22×D1111yescharacteristic
1154C2×#41C22×D1111yescharacteristic
1155C2×#41C22×D1111yescharacteristic
1156C22×Q8—111no—
1157C22×Q8—111no—
1158C22×Q8C22×D1111yescharacteristic
1159C22×D4—111no—
1160C22×D4—111no—
1161C22×D4—111no—
1162C22×D4—111no—
1163C22×D4—221no—
1164C22×D4—221no—
1165C22×D4—221no—
1166C22×D4—221no—
1167C22×D4—221no—
1168C22×D4—221no—
1169C22×D4—221no—
1170C23×C4—111no—
1171C23×C4—221no—
1172#137—42no—
1173#137—442no—
1174#137—442no—
1175#137—442no—
1176AGL(1,ℤ/8)—442no—
1177AGL(1,ℤ/8)—442no—
1178#135—42no—
1179C2×Q16—111no—
1180C2×Q16—111no—
1181C2×Q16—111no—
1182C2×Q16—111no—
1183C2×Q16C22×D1111yescharacteristic
1184C2×Q16C22×D1111yescharacteristic
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—442no—
1195C2×SD16C22×D1111yescharacteristic
1196C2×SD16C22×D1111yescharacteristic
1197C2×SD16C22×D1111yescharacteristic
1198C2×SD16C22×D1111yescharacteristic
1199C2×SD16C22×D1111yescharacteristic
1200C2×D8—111no—
1201C2×D8—111no—
1202C2×D8C22×D1111yescharacteristic
1203C2×D8C22×D1111yescharacteristic
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—21no—
1217#127—111no—
1218#127—221no—
1219#127C22×D1111yescharacteristic
1220#126—221no—
1221#126—221no—
1222#126—221no—
1223#126—221no—
1224#126—221no—
1225#126—221no—
1226#126—221no—
1227#125—111no—
1228#125—221no—
1229#125—221no—
1230#125—221no—
1231#125—221no—
1232#124—21no—
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#124C22×D1111yescharacteristic
1242#123—111no—
1243#123—111no—
1244#123—221no—
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—21no—
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—111no—
1266C22⋊Q8—111no—
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⋊Q8—221no—
1279C22⋊Q8C22×D1111yescharacteristic
1280#121—21no—
1281#121—21no—
1282#121—21no—
1283#121—111no—
1284#121—111no—
1285#121—111no—
1286#121—111no—
1287#121—111no—
1288#121—111no—
1289#121—111no—
1290#121—111no—
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#121C22×D1111yescharacteristic
1313#121C22×D1111yescharacteristic
1314#121C22×D1111yescharacteristic
1315#120—111no—
1316#120—111no—
1317#120—221no—
1318#120—221no—
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—221no—
1330C4×Q8C22×D1111yescharacteristic
1331C4×Q8C22×D1111yescharacteristic
1332C4×D4—21no—
1333C4×D4—21no—
1334C4×D4—111no—
1335C4×D4—111no—
1336C4×D4—111no—
1337C4×D4—111no—
1338C4×D4—111no—
1339C4×D4—111no—
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×D4—221no—
1351C4×D4C22×D1111yescharacteristic
1352#117—111no—
1353#117—111no—
1354#117—111no—
1355#117—221no—
1356#117—221no—
1357C2×C4⋊C4—111no—
1358C2×C4⋊C4—111no—
1359C2×C4⋊C4—111no—
1360C2×C4⋊C4—221no—
1361C2×C4⋊C4—221no—
1362C2×C4⋊C4—221no—
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#107—111no—
1372#107—111no—
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#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#102—111no—
1406#102—111no—
1407#102—111no—
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—41no—
1429C2×C11—81no—
1430C2×C11—81no—
1431C2×C11—81no—
1432C2×C11#348411yescharacteristic
1433C2×C11#358511yescharacteristic
1434C2×C11#358611yescharacteristic
1435D11—41no—
1436D11—41no—
1437D11—41no—
1438D11—42no—
1439D11—81no—
1440C24—111no—
1441C24—221no—
1442C24—221no—
1443C24—221no—
1444C24—221no—
1445#41—22no—
1446#41—22no—
1447#41—41no—
1448#41—41no—
1449#41—41no—
1450#41—41no—
1451#41—222no—
1452#41—222no—
1453#41—222no—
1454#41—222no—
1455#41—441no—
1456#41—441no—
1457#41—441no—
1458#41—444no—
1459#41—444no—
1460#41—441no—
1461#41—441no—
1462#41—444no—
1463#41—441no—
1464#41—441no—
1465#41—441no—
1466C2×Q8—21no—
1467C2×Q8—41no—
1468C2×Q8—41no—
1469C2×Q8—111no—
1470C2×Q8—111no—
1471C2×Q8—111no—
1472C2×Q8—221no—
1473C2×Q8—221no—
1474C2×Q8—221no—
1475C2×Q8—222no—
1476C2×Q8—441no—
1477C2×Q8—441no—
1478C2×Q8—441no—
1479C2×Q8C23×D1111yescharacteristic
1480C2×Q8C23×D1111yescharacteristic
1481C2×Q8C23×D1111yescharacteristic
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—21no—
1486C2×D4—21no—
1487C2×D4—21no—
1488C2×D4—21no—
1489C2×D4—21no—
1490C2×D4—111no—
1491C2×D4—111no—
1492C2×D4—111no—
1493C2×D4—111no—
1494C2×D4—111no—
1495C2×D4—111no—
1496C2×D4—111no—
1497C2×D4—111no—
1498C2×D4—222no—
1499C2×D4—221no—
1500C2×D4—221no—
1501C2×D4—221no—
1502C2×D4—221no—
1503C2×D4—221no—
1504C2×D4—221no—
1505C2×D4—221no—
1506C2×D4—221no—
1507C2×D4—222no—
1508C2×D4—222no—
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—441no—
1519C2×D4—444no—
1520C2×D4—441no—
1521C2×D4—441no—
1522C2×D4—441no—
1523C2×D4—441no—
1524C2×D4—444no—
1525C2×D4—444no—
1526C2×D4—444no—
1527C2×D4—882no—
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—21no—
1537C22×C4—21no—
1538C22×C4—111no—
1539C22×C4—111no—
1540C22×C4—111no—
1541C22×C4—111no—
1542C22×C4—111no—
1543C22×C4—111no—
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—22no—
1563Q16—22no—
1564Q16—222no—
1565Q16—441no—
1566Q16—441no—
1567Q16—441no—
1568SD16—22no—
1569SD16—41no—
1570SD16—41no—
1571SD16—41no—
1572SD16—41no—
1573SD16—222no—
1574SD16—222no—
1575SD16—222no—
1576SD16—441no—
1577SD16—441no—
1578SD16—441no—
1579SD16—441no—
1580SD16—441no—
1581SD16—441no—
1582D8—41no—
1583D8—41no—
1584D8—222no—
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—111no—
1606C4⋊C4—111no—
1607C4⋊C4—111no—
1608C4⋊C4—111no—
1609C4⋊C4—111no—
1610C4⋊C4—111no—
1611C4⋊C4—111no—
1612C4⋊C4—111no—
1613C4⋊C4—111no—
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⋊C4—221no—
1627C4⋊C4—221no—
1628C4⋊C4—221no—
1629C4⋊C4—221no—
1630C4⋊C4—221no—
1631C4⋊C4—221no—
1632C4⋊C4—221no—
1633C4⋊C4—221no—
1634C4⋊C4—221no—
1635C4⋊C4D4×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—111no—
1693C23—111no—
1694C23—111no—
1695C23—221no—
1696C23—221no—
1697C23—441no—
1698C23—441no—
1699C23—441no—
1700C23—442no—
1701C23—442no—
1702C23—442no—
1703C23—442no—
1704C23—442no—
1705C23—881no—
1706C23—881no—
1707C23—881no—
1708C23—881no—
1709C23—881no—
1710C23—881no—
1711C23—881no—
1712C23C2×D4×D1111yescharacteristic
1713C23C2×D4×D1111yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—81no—
1720Q8—221no—
1721Q8—221no—
1722Q8—221no—
1723Q8—221no—
1724Q8—441no—
1725Q8—442no—
1726Q8—881no—
1727Q8—881no—
1728Q8#6703712yes—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—21no—
1733D4—21no—
1734D4—21no—
1735D4—41no—
1736D4—42no—
1737D4—42no—
1738D4—42no—
1739D4—81no—
1740D4—81no—
1741D4—81no—
1742D4—81no—
1743D4—81no—
1744D4—112no—
1745D4—224no—
1746D4—221no—
1747D4—221no—
1748D4—221no—
1749D4—441no—
1750D4—441no—
1751D4—442no—
1752D4—442no—
1753D4—442no—
1754D4—441no—
1755D4—441no—
1756D4—441no—
1757D4—441no—
1758D4—442no—
1759D4—442no—
1760D4—442no—
1761D4—442no—
1762D4—442no—
1763D4—442no—
1764D4—881no—
1765D4—881no—
1766D4—881no—
1767D4—881no—
1768D4—881no—
1769D4—881no—
1770D4—881no—
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—42no—
1781C2×C4—42no—
1782C2×C4—81no—
1783C2×C4—81no—
1784C2×C4—111no—
1785C2×C4—111no—
1786C2×C4—111no—
1787C2×C4—111no—
1788C2×C4—111no—
1789C2×C4—224no—
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—221no—
1801C2×C4—221no—
1802C2×C4—441no—
1803C2×C4—441no—
1804C2×C4—442no—
1805C2×C4—442no—
1806C2×C4—442no—
1807C2×C4—441no—
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—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—41no—
1842C22—41no—
1843C22—41no—
1844C22—41no—
1845C22—221no—
1846C22—221no—
1847C22—221no—
1848C22—221no—
1849C22—221no—
1850C22—221no—
1851C22—221no—
1852C22—222no—
1853C22—221no—
1854C22—221no—
1855C22—441no—
1856C22—441no—
1857C22—441no—
1858C22—441no—
1859C22—441no—
1860C22—882no—
1861C22—884no—
1862C22—1762no—
1863C22—1762no—
1864C22—1762no—
1865C22C22×D4×D1111yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—22no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—221no—
1876C4—221no—
1877C4—221no—
1878C4—221no—
1879C4—221no—
1880C4—441no—
1881C4—441no—
1882C4—441no—
1883C4—441no—
1884C4—441no—
1885C4—441no—
1886C4C2×#6703711yescharacteristic
1887C4D11×H(5,𝔽2)11yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—81no—
1891C2—81no—
1892C2—81no—
1893C2—441no—
1894C2—441no—
1895C2—441no—
1896C2—442no—
1897C2—881no—
1898C2#1308224411yescharacteristic
1899C2#1308339411yescharacteristic
1900C2#1308340011yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3271C2
socleC22×C11C23×D4
hypercenter#3271D11
hypocenterC11#61654
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3271

Complements

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

NH ≅ G/Ntype
1. #13082895C2semidirect
2. #13082284C2semidirect
3. #13080954C2semidirect
4. #13080877C2semidirect
5. #13080850C2semidirect
6. #13080812C2semidirect
7. #13080699C2semidirect
8. #13080687C2semidirect
9. #13080643C2semidirect
10. #13080615C2semidirect
11. #13080276C2semidirect
12. #13080268C2semidirect
13. #13080248C2semidirect
14. #13080209C2semidirect
15. #13080171C2semidirect
16. #13080129C2semidirect
17. #13080110C2semidirect
18. #13079705C2semidirect
19. #13079687C2semidirect
20. #13079515C2semidirect
21. #13079491C2semidirect
22. #13079425C2semidirect
23. #13079420C2semidirect
24. #13078877C2semidirect
25. #13078828C2semidirect
26. #13077916C2semidirect
27. #13077890C2semidirect
28. #13077872C2semidirect
29. #13077854C2semidirect
30. #13077675C2semidirect
31. C11×#3271C2semidirect
34. C2×C11×#137C22semidirect
35. C2×C11×#135C22semidirect
37. C11×#548C22semidirect
39. #10623364C22semidirect
41. #10623355C22semidirect
42. C2×#67002C22semidirect
43. Q8×C22⋊D11C22semidirect
44. C2×#66999C22semidirect
45. C2×#66995C22semidirect
46. C2×#66971C22semidirect
47. C2×#66968C22semidirect
48. C2×SD16×D11C22semidirect
49. C2×#66964C22semidirect
55. #10623213C22semidirect
56. #10623208C22semidirect
60. #10623173C22semidirect
61. #10623159C22semidirect
62. #10623149C22semidirect
70. #10623137C22semidirect
74. #10623115C22semidirect
75. #10623114C22semidirect
83. #10623074C22semidirect
85. C11×#496C22semidirect
86. C11×#469C22semidirect
87. C11×#465C22semidirect
88. C11×#464C22semidirect
89. C11×#460C22semidirect
90. C11×#452C22semidirect
91. C11×#449C22semidirect
92. C11×#449C22semidirect
93. C11×#448C22semidirect
94. C11×#441C22semidirect
95. C11×#435C22semidirect
96. #10622852C22semidirect
97. #10622852C22semidirect
98. #10622852C22semidirect
99. #10622845C22semidirect
100. #10622845C22semidirect
101. #10622840C22semidirect
104. #10622800C22semidirect
105. #10622799C22semidirect
106. #10622799C22semidirect
107. Q16×Dic11C22semidirect
108. #10622795C22semidirect
109. #10622788C22semidirect
110. #10622787C22semidirect
111. #10622787C22semidirect
112. #10622787C22semidirect
113. #10622786C22semidirect
114. #10622786C22semidirect
116. #10622785C22semidirect
117. #10622783C22semidirect
118. #10622782C22semidirect
119. #10622782C22semidirect
120. #10622782C22semidirect
121. #10622782C22semidirect
122. #10622782C22semidirect
123. #10622780C22semidirect
124. #10622779C22semidirect
125. #10622777C22semidirect
126. #10622776C22semidirect
127. #10622771C22semidirect
128. #10622771C22semidirect
129. #10622770C22semidirect
130. #10622769C22semidirect
131. #10622769C22semidirect
132. #10622766C22semidirect
133. #10622763C22semidirect
134. #10622747C22semidirect
135. #10622746C22semidirect
136. #10622741C22semidirect
137. #10622739C22semidirect
138. #10622729C22semidirect
139. C2×#66885C22semidirect
140. #10622724C22semidirect
141. #10622723C22semidirect
142. #10622688C22semidirect
143. #10622683C22semidirect
144. #10622672C22semidirect
145. #10622670C22semidirect
146. #10622665C22semidirect
147. #10622659C22semidirect
148. #10622655C22semidirect
149. #10622655C22semidirect
150. #10622652C22semidirect
151. #10622650C22semidirect
152. #10622646C22semidirect
153. #10622646C22semidirect
154. C4×#4326C22semidirect
155. #10622641C22semidirect
156. C4×#4325C22semidirect
157. #10622634C22semidirect
158. #10622625C22semidirect
159. #10622484C22semidirect
160. #10622480C22semidirect
161. #10622479C22semidirect
162. #10622475C22semidirect
163. #10622459C22semidirect
164. #10622458C22semidirect
165. #10622453C22semidirect
166. #10622451C22semidirect
167. #10622431C22semidirect
168. #10622430C22semidirect
169. #10622426C22semidirect
170. #10622425C22semidirect
171. #10622425C22semidirect
173. #10622422C22semidirect
174. #10622422C22semidirect
175. #10622421C22semidirect
176. #10622417C22semidirect
177. #10622415C22semidirect
178. #10622409C22semidirect
179. #10622397C22semidirect
180. #10622397C22semidirect
181. #10622396C22semidirect
182. #10622394C22semidirect
183. #10622393C22semidirect
184. #10622389C22semidirect
185. #10622387C22semidirect
186. #10622383C22semidirect
187. #10622383C22semidirect
188. #10622381C22semidirect
189. #10622377C22semidirect
190. #10622369C22semidirect
191. #10622349C22semidirect
192. #10622346C22semidirect
193. #10622344C22semidirect
194. #10622342C22semidirect
195. #10622341C22semidirect
196. #10622340C22semidirect
197. #10622339C22semidirect
198. #10622335C22semidirect
199. #10622327C22semidirect
200. #10622323C22semidirect
201. #10622322C22semidirect
202. #10622319C22semidirect
753. #3271D11semidirect
916. C2×#137C2×D11semidirect
919. C2×#135C2×D11semidirect
935. #548C2×D11semidirect
965. #496C2×D11semidirect
990. #469C2×D11semidirect
1003. #465C2×D11semidirect
1007. #464C2×D11semidirect
1014. #460C2×D11semidirect
1027. #452C2×D11semidirect
1045. #449C2×D11semidirect
1046. #449C2×D11semidirect
1049. #448C2×D11semidirect
1052. #441C2×D11semidirect
1067. #435C2×D11semidirect
1688. C11#61654semidirect

Maximal subgroups

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

subgroupindex
#130828952
#130822842
#130809542
#130808772
#130808502
#130808122
#130806992
#130806872
#130806432
#130806152
#130802762
#130802682
#130802482
#130802092
#130801712
#130801292
#130801102
#130797052
#130796872
#130795152
#130794912
#130794252
#130794202
#130788772
#130788282
#130779162
#130778902
#130778722
#130778542
#130776752
C11×#32712
#6165411