Finite Group Databasebeta

← #15638667

Subgroups — #15638667

Order 2816.

2126 conjugacy classes of subgroups.

The subgroup lattice has 1884 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082445C211yesmaximal, characteristic, complemented
2D11×#547C211yesmaximal, characteristic, complemented
3#13080711C211yesmaximal, characteristic, complemented
4#13080710C211yesmaximal, characteristic, complemented
5#13080709C211yesmaximal, characteristic, complemented
6#13080708C211yesmaximal, characteristic, complemented
7#13080595C211yesmaximal, characteristic, complemented
8#13080593C211yesmaximal, characteristic, complemented
9#13080586C211yesmaximal, characteristic, complemented
10#13080178C211yesmaximal, characteristic, complemented
11#13080176C211yesmaximal, characteristic, complemented
12#13080169C211yesmaximal, characteristic, complemented
13#13080167C211yesmaximal, characteristic, complemented
14#13080147C211yesmaximal, characteristic, complemented
15#13080143C211yesmaximal, characteristic, complemented
16#13080138C211yesmaximal, characteristic, complemented
17#13080134C211yesmaximal, characteristic, complemented
18#13079644C211yesmaximal, characteristic, complemented
19#13079642C211yesmaximal, characteristic, complemented
20#13079439C211yesmaximal, characteristic, complemented
21#13079417C211yesmaximal, characteristic, complemented
22#13079401C211yesmaximal, characteristic, complemented
23#13079392C211yesmaximal, characteristic, complemented
24#13078759C211yesmaximal, characteristic, complemented
25#13078752C211yesmaximal, characteristic, complemented
26#13077877C211yesmaximal, characteristic, complemented
27#13077865C211yesmaximal, characteristic, complemented
28#13077836C211yesmaximal, characteristic, complemented
29#13077831C211yesmaximal, characteristic, complemented
30#13077641C211yesmaximal, characteristic, complemented
31C11×#3307C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C2×#41×D11C2211yescharacteristic, complemented
34C11×#553C2211yescharacteristic, complemented
35C11×#547C2211yescharacteristic, complemented
36#10623355C2211yescharacteristic
37#10623355C2211yescharacteristic, complemented
38C2×#67004C2211yescharacteristic, complemented
39C2×#67003C2211yescharacteristic, complemented
40C2×#66969C2211yescharacteristic, complemented
41C2×#66967C2211yescharacteristic, complemented
42C2×#66965C2211yescharacteristic, complemented
43C2×#66964C2211yescharacteristic, complemented
44C2×#66962C2211yescharacteristic, complemented
45C2×#66957C2211yescharacteristic, complemented
46#10623257C2211yescharacteristic
47D11×C4⋊Q8C2211yescharacteristic, complemented
48#10623238—21no—
49#10623236—21no—
50#10623225C2211yescharacteristic, complemented
51#10623222C2211yescharacteristic
52#10623189—21no—
53#10623188—21no—
54#10623186—21no—
55#10623186—21no—
56D11×#123—21no—
57D11×#123—21no—
58#10623162C2211yescharacteristic
59#10623162C2211yescharacteristic, complemented
60D11×C22⋊Q8C2211yescharacteristic
61D11×C22⋊Q8C2211yescharacteristic, complemented
62#10623149—21no—
63#10623143C2211yescharacteristic, complemented
64#10623142—21no—
65#10623137C2211yescharacteristic
66#10623136—21no—
67D11×#121—21no—
68D11×#121C2211yescharacteristic
69#10623129C2211yescharacteristic, complemented
70#10623096—21no—
71#10623088C2211yescharacteristic
72#10623086C2211yescharacteristic
73#10623085C2211yescharacteristic, complemented
74#10623083C2211yescharacteristic, complemented
75#10623082C2211yescharacteristic, complemented
76#10623076—21no—
77C4×D4×D11C2211yescharacteristic
78C4×D4×D11C2211yescharacteristic, complemented
79#10623060C2211yescharacteristic, complemented
80#10623055C2211yescharacteristic
81#10623045C2211yescharacteristic, complemented
82C2×#66950C2211yescharacteristic
83#10623038—21no—
84C2×C4⋊C4×D11—21no—
85C11×#491C2211yescharacteristic, complemented
86C11×#485C2211yescharacteristic, complemented
87C11×#483C2211yescharacteristic, complemented
88C11×#478C2211yescharacteristic, complemented
89C11×#468C2211yescharacteristic, complemented
90C11×#465C2211yescharacteristic, complemented
91C11×#461C2211yescharacteristic, complemented
92C11×#449C2211yescharacteristic, complemented
93C11×#449C2211yescharacteristic, complemented
94C11×#442C2211yescharacteristic, complemented
95C11×#435C2211yescharacteristic, complemented
96C11×#417C2211yescharacteristic, complemented
97C11×#416C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic, complemented
99#10622851C2211yescharacteristic, complemented
100#10622786C2211yescharacteristic, complemented
101#10622783C2211yescharacteristic
102#10622783C2211yescharacteristic
103#10622782C2211yescharacteristic, complemented
104#10622780C2211yescharacteristic, complemented
105#10622780C2211yescharacteristic, complemented
106#10622769C2211yescharacteristic
107#10622766C2211yescharacteristic, complemented
108#10622747C2211yescharacteristic, complemented
109#10622740C2211yescharacteristic, complemented
110#10622739C2211yescharacteristic
111#10622729C2211yescharacteristic, complemented
112#10622724C2211yescharacteristic, complemented
113C2×(C2×D11)⋊C8C2211yescharacteristic, complemented
114#10622703C2211yescharacteristic, complemented
115#10622699C2211yescharacteristic, complemented
116#10622682C2211yescharacteristic, complemented
117#10622679C2211yescharacteristic, complemented
118#10622664C2211yescharacteristic, complemented
119#10622663C2211yescharacteristic, complemented
120#10622662C2211yescharacteristic, complemented
121#10622660C2211yescharacteristic, complemented
122#10622655C2211yescharacteristic, complemented
123#10622654C2211yescharacteristic, complemented
124#10622650C2211yescharacteristic, complemented
125#10622650C2211yescharacteristic, complemented
126#10622632C2211yescharacteristic, complemented
127#10622631C2211yescharacteristic, complemented
128#10622629C2211yescharacteristic, complemented
129#10622627C2211yescharacteristic, complemented
130#10622624C2211yescharacteristic, complemented
131#10622615C2211yescharacteristic, complemented
132#10622609C2211yescharacteristic, complemented
133#10622584C2211yescharacteristic, complemented
134#10622579C2211yescharacteristic, complemented
135#10622502C2211yescharacteristic, complemented
136#10622500C2211yescharacteristic, complemented
137#10622497C2211yescharacteristic, complemented
138#10622495C2211yescharacteristic
139#10622484C2211yescharacteristic, complemented
140#10622482C2211yescharacteristic, complemented
141#10622481C2211yescharacteristic, complemented
142#10622481C2211yescharacteristic, complemented
143#10622480C2211yescharacteristic, complemented
144#10622477C2211yescharacteristic, complemented
145#10622475C2211yescharacteristic, complemented
146#10622475C2211yescharacteristic, complemented
147#10622462C2211yescharacteristic, complemented
148#10622457C2211yescharacteristic, complemented
149#10622449C2211yescharacteristic, complemented
150#10622448C2211yescharacteristic, complemented
151#10622431C2211yescharacteristic, complemented
152#10622431C2211yescharacteristic, complemented
153#10622429C2211yescharacteristic, complemented
154#10622429C2211yescharacteristic, complemented
155#10622427C2211yescharacteristic, complemented
156#10622426C2211yescharacteristic, complemented
157#10622424C2211yescharacteristic, complemented
158#10622423C2211yescharacteristic, complemented
159#10622423C2211yescharacteristic, complemented
160#10622423C2211yescharacteristic, complemented
161#10622422C2211yescharacteristic, complemented
162#10622421C2211yescharacteristic, complemented
163#10622421C2211yescharacteristic, complemented
164#10622421C2211yescharacteristic, complemented
165#10622421C2211yescharacteristic, complemented
166#10622420C2211yescharacteristic, complemented
167#10622419C2211yescharacteristic
168#10622419C2211yescharacteristic
169#10622417C2211yescharacteristic, complemented
170#10622416C2211yescharacteristic, complemented
171#10622410C2211yescharacteristic, complemented
172#10622410C2211yescharacteristic, complemented
173#10622406C2211yescharacteristic, complemented
174#10622406C2211yescharacteristic, complemented
175#10622400C2211yescharacteristic, complemented
176#10622398C2211yescharacteristic, complemented
177#10622396C2211yescharacteristic, complemented
178#10622396C2211yescharacteristic, complemented
179#10622396C2211yescharacteristic, complemented
180#10622396C2211yescharacteristic, complemented
181#10622394C2211yescharacteristic, complemented
182#10622389C2211yescharacteristic, complemented
183#10622389C2211yescharacteristic, complemented
184#10622389C2211yescharacteristic, complemented
185#10622387C2211yescharacteristic
186#10622386C2211yescharacteristic
187#10622385C2211yescharacteristic, complemented
188#10622384C2211yescharacteristic, complemented
189#10622379C2211yescharacteristic, complemented
190#10622370C2211yescharacteristic, complemented
191#10622352C2211yescharacteristic, complemented
192#10622347C2211yescharacteristic, complemented
193#10622346C2211yescharacteristic, complemented
194#10622346C2211yescharacteristic, complemented
195#10622343C2211yescharacteristic, complemented
196#10622341C2211yescharacteristic, complemented
197#10622339C2211yescharacteristic
198D11×C22⋊C8C2211yescharacteristic, complemented
199#10622328C2211yescharacteristic, complemented
200#10622323C2211yescharacteristic, complemented
201#10622319C2211yescharacteristic, complemented
202#10622318C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205#41×D11—42no—
206#41×D11—42no—
207#41×D11—42no—
208#41×D11—42no—
209C2×#4343C2311yescharacteristic
210C2×#4343C2311yescharacteristic
211C2×Q8×D11C2311yescharacteristic
212C2×Q8×D11C2311yescharacteristic
213C2×#4341—21no—
214C2×#4341—21no—
215C2×#4341C2311yescharacteristic
216C2×#4341C2311yescharacteristic
217C2×#4341C2311yescharacteristic
218C2×D4×D11—21no—
219C2×D4×D11—21no—
220C2×D4×D11—21no—
221C2×D4×D11D411yescharacteristic
222C2×D4×D11C2311yescharacteristic
223C2×D4×D11C2311yescharacteristic
224C2×#4339—21no—
225C2×#4339—21no—
226C2×#4339C2311yescharacteristic
227C2×#4339C2311yescharacteristic
228C2×#4339C2311yescharacteristic
229C22×C4×D11—21no—
230C22×C4×D11—21no—
231C22×C4×D11—21no—
232C22×C4×D11C2311yescharacteristic
233C22×C4×D11C2311yescharacteristic
234C22×Dic22C2311yescharacteristic
235C2×C11×SD16C2311yescharacteristic
236C2×C11×SD16C2311yescharacteristic
237C2×C11×D8C2311yescharacteristic
238C2×C11×M16C2311yescharacteristic
239C22×C8×C11C2311yescharacteristic
240C11×C4⋊Q8C2311yescharacteristic
241C11×#126—21no—
242C11×#125C2311yescharacteristic
243C11×#123—21no—
244C11×#123—21no—
245C11×#123—21no—
246C11×C22⋊Q8C2311yescharacteristic
247C11×C22⋊Q8C2311yescharacteristic
248C11×#121—21no—
249C11×#121—21no—
250C11×#121C2311yescharacteristic
251C11×#121C2311yescharacteristic
252C4×D4×C11—21no—
253C4×D4×C11C2311yescharacteristic
254C4×D4×C11C2311yescharacteristic
255C4×D4×C11C2311yescharacteristic
256C11×#117C2311yescharacteristic
257C2×C11×C4⋊C4—21no—
258C2×C11×C4⋊C4C2311yescharacteristic
259#67004—42no—
260#67003—42no—
261#66999C2311yescharacteristic
262#66999C2311yescharacteristic
263#66997C2311yescharacteristic
264#66997C2311yescharacteristic
265C2×#4326C2311yescharacteristic
266C2×#4326C2311yescharacteristic
267C2×#4326C2311yescharacteristic
268C2×#4326C2311yescharacteristic
269C2×#4325C2311yescharacteristic
270C2×#4325C2311yescharacteristic
271#66992—21no—
272#66992—21no—
273#66992—21no—
274#66992—21no—
275#66992—21no—
276#66991—21no—
277#66991—21no—
278#66991C2311yescharacteristic
279#66990—21no—
280#66990—21no—
281#66989C2311yescharacteristic
282#66988—21no—
283#66988—21no—
284D4×Dic11—21no—
285D4×Dic11—21no—
286D4×Dic11D411yescharacteristic
287D4×Dic11C2311yescharacteristic
288C2×#4324C2311yescharacteristic
289C2×#4324C2311yescharacteristic
290C2×#4324C2311yescharacteristic
291C2×#4324C2311yescharacteristic
292C2×#4323C2311yescharacteristic
293C2×#4323C2311yescharacteristic
294#66983—21no—
295#66983—21no—
296#66983—21no—
297#66983C2311yescharacteristic
298#66982—21no—
299#66982—21no—
300C4×C22⋊D11—21no—
301C4×C22⋊D11—21no—
302C4×C22⋊D11—21no—
303C4×C22⋊D11C2311yescharacteristic
304C4×C22⋊D11C2311yescharacteristic
305C2×(C2×D11)⋊C4—21no—
306C2×(C2×D11)⋊C4—21no—
307#66979—21no—
308C2×C4⋊Dic11—21no—
309C2×C4⋊Dic11—21no—
310#66977C2311yescharacteristic
311#66977C2311yescharacteristic
312#66977C2311yescharacteristic
313C2×Dic11⋊C4—21no—
314C2×Dic11⋊C4—21no—
315C2×#4318C2311yescharacteristic
316C22×C11⋊C8C2311yescharacteristic
317#66969—42no—
318#66967—42no—
319#66965—42no—
320#66964—42no—
321#66962—42no—
322C2×Dic44C2311yescharacteristic
323C2×Dic44C2311yescharacteristic
324C2×Dic44C2311yescharacteristic
325C2×Dic44C2311yescharacteristic
326#66957—42no—
327C2×D88C2311yescharacteristic
328C2×#4314C2311yescharacteristic
329C2×#4314C2311yescharacteristic
330C2×#4314C2311yescharacteristic
331C2×#4314C2311yescharacteristic
332C2×#4313C2311yescharacteristic
333C2×#4313C2311yescharacteristic
334C2×C8×D11C2311yescharacteristic
335C2×C8×D11C2311yescharacteristic
336#66951—21no—
337#66951—21no—
338#66951—21no—
339#66950—21no—
340#66950—21no—
341#66950C2311yescharacteristic
342#66950C2311yescharacteristic
343#66950C2311yescharacteristic
344#66950C2311yescharacteristic
345#66950C2311yescharacteristic
346#66950C2311yescharacteristic
347#66950C2311yescharacteristic
348#66949—21no—
349#66949—21no—
350#66949—21no—
351#66948—21no—
352#66948C2311yescharacteristic
353#66948C2311yescharacteristic
354#66947—21no—
355#66947—21no—
356#66947—21no—
357#66947—21no—
358#66947—21no—
359#66947—21no—
360#66947—21no—
361#66946—21no—
362#66946D411yescharacteristic
363#66946C2311yescharacteristic
364#66946C2311yescharacteristic
365#66945—21no—
366#66945—21no—
367#66945C2311yescharacteristic
368C4⋊C4×D11—21no—
369C4⋊C4×D11—21no—
370C4⋊C4×D11—21no—
371C4⋊C4×D11—21no—
372C4⋊C4×D11—21no—
373C4⋊C4×D11—21no—
374C4⋊C4×D11—21no—
375C4⋊C4×D11—21no—
376C4⋊C4×D11D411yescharacteristic
377C4⋊C4×D11C2311yescharacteristic
378C4⋊C4×D11C2311yescharacteristic
379#66943—21no—
380#66943C2311yescharacteristic
381#66941—21no—
382#66941—21no—
383#66940C2311yescharacteristic
384#66939—21no—
385#66939—21no—
386#66939—21no—
387#66939—21no—
388#66938—21no—
389#66938—21no—
390#66937—21no—
391#66937—21no—
392#66937—21no—
393#66936—21no—
394#66936—21no—
395#66936—21no—
396#66936—21no—
397#66936—21no—
398#66936—21no—
399#66936—21no—
400#66936—21no—
401#66935—21no—
402#66935—21no—
403(C22⋊D11)⋊C4—21no—
404(C22⋊D11)⋊C4—21no—
405(C22⋊D11)⋊C4—21no—
406(C22⋊D11)⋊C4D411yescharacteristic
407(C22⋊D11)⋊C4D411yescharacteristic
408C22⋊C4×D11—21no—
409C22⋊C4×D11—21no—
410C22⋊C4×D11—21no—
411C22⋊C4×D11—21no—
412C22⋊C4×D11—21no—
413C22⋊C4×D11D411yescharacteristic
414C22⋊C4×D11D411yescharacteristic
415#66932—21no—
416#66932—21no—
417#66931—21no—
418#66931—21no—
419#66931—21no—
420#66928C2311yescharacteristic
421C4×D44—21no—
422C4×D44—21no—
423C4×D44C2311yescharacteristic
424C4×D44C2311yescharacteristic
425#66925—21no—
426C42×D11C2311yescharacteristic
427#66923—21no—
428#66922C2311yescharacteristic
429C4×Dic22C2311yescharacteristic
430C11×#107C2311yescharacteristic
431C11×#106C2311yescharacteristic
432C11×#106C2311yescharacteristic
433C11×C4⋊C8C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
436C11×#103C2311yescharacteristic
437C11×#103C2311yescharacteristic
438C11×#103C2311yescharacteristic
439C11×#103C2311yescharacteristic
440C11×#102C2311yescharacteristic
441C11×#102C2311yescharacteristic
442C11×#102C2311yescharacteristic
443C11×#102C2311yescharacteristic
444C11×C22⋊C8C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446C11×#97C2311yescharacteristic
447#66899C2311yescharacteristic
448#66899C2311yescharacteristic
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
469#66879C2311yescharacteristic
470Dic11⋊C8C2311yescharacteristic
471Dic11⋊C8C2311yescharacteristic
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#66872C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489#66867C2311yescharacteristic
490#61575—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11—21no—
493C23×D11C2×D411yescharacteristic
494C23×D11C2×D411yescharacteristic
495C11×#41—22no—
496C11×#41—22no—
497C11×#41—41no—
498C11×#41—41no—
499C2×Q8×C11C2411yescharacteristic
500C2×Q8×C11C2411yescharacteristic
501C2×D4×C11—21no—
502C2×D4×C11—21no—
503C2×D4×C11—21no—
504C2×D4×C11—21no—
505C2×D4×C11C2×D411yescharacteristic
506C2×D4×C11C2411yescharacteristic
507C2×D4×C11C2411yescharacteristic
508C22×C4×C11—21no—
509C22×C4×C11—21no—
510C22×C4×C11—21no—
511C22×C4×C11—21no—
512C22×C4×C11—21no—
513C22×C4×C11C2411yescharacteristic
514C22×C4×C11C2411yescharacteristic
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11C2×D411yescharacteristic
526C2×C22⋊D11C2×D411yescharacteristic
527C22×Dic11—21no—
528C22×Dic11—21no—
529C22×Dic11—21no—
530C22×Dic11—21no—
531C22×Dic11—21no—
532C22×Dic11C2×D411yescharacteristic
533C22×Dic11C2×D411yescharacteristic
534#4343—22no—
535#4343—22no—
536#4343—41no—
537#4343—41no—
538Q8×D11—41no—
539Q8×D11—41no—
540Q8×D11—41no—
541Q8×D11—41no—
542#4341—22no—
543#4341—22no—
544#4341—41no—
545#4341—41no—
546#4341—41no—
547#4341—41no—
548#4341—44no—
549#4341—44no—
550D4×D11—22no—
551D4×D11—22no—
552D4×D11—41no—
553D4×D11—41no—
554D4×D11—42no—
555D4×D11—44no—
556D4×D11—44no—
557D4×D11—44no—
558#4339—22no—
559#4339—22no—
560#4339—41no—
561#4339—41no—
562#4339—41no—
563#4339—41no—
564#4339—44no—
565#4339—44no—
566C2×D44—21no—
567C2×D44—21no—
568C2×D44—21no—
569C2×D44—21no—
570C2×D44C2×D411yescharacteristic
571C2×D44C2411yescharacteristic
572C2×D44C2411yescharacteristic
573C2×C4×D11—21no—
574C2×C4×D11—21no—
575C2×C4×D11—21no—
576C2×C4×D11—21no—
577C2×C4×D11—21no—
578C2×C4×D11—21no—
579C2×C4×D11—21no—
580C2×C4×D11—21no—
581C2×C4×D11—21no—
582C2×C4×D11—21no—
583C2×C4×D11—21no—
584C2×C4×D11—21no—
585C2×C4×D11—41no—
586C2×C4×D11—41no—
587C2×C4×D11—41no—
588C2×C4×D11—41no—
589C2×C4×D11—44no—
590C2×C4×D11—44no—
591C2×C4×D11—44no—
592C2×C4×D11C2×D411yescharacteristic
593C2×C4×D11C2×D411yescharacteristic
594C2×C4×D11C2×D411yescharacteristic
595C2×C4×D11C2×D411yescharacteristic
596C2×C4×D11C2×D411yescharacteristic
597C2×C4×D11C2×D411yescharacteristic
598C2×C4×D11C2411yescharacteristic
599C2×C4×D11C2411yescharacteristic
600C2×C4×D11C2411yescharacteristic
601C2×Dic22—21no—
602C2×Dic22—21no—
603C2×Dic22—21no—
604C2×Dic22—41no—
605C2×Dic22—41no—
606C2×Dic22C2411yescharacteristic
607C2×Dic22C2411yescharacteristic
608C2×Dic22C2411yescharacteristic
609C2×Dic22C2411yescharacteristic
610C11×SD16—41no—
611C11×SD16—41no—
612C11×D8—22no—
613C11×M16—41no—
614C2×C8×C11—41no—
615C2×C8×C11C2411yescharacteristic
616C2×C8×C11C2411yescharacteristic
617C2×C8×C11C2411yescharacteristic
618C2×C8×C11C2411yescharacteristic
619C11×C4⋊C4—21no—
620C11×C4⋊C4—21no—
621C11×C4⋊C4—21no—
622C11×C4⋊C4—21no—
623C11×C4⋊C4—21no—
624C11×C4⋊C4—21no—
625C11×C4⋊C4—21no—
626C11×C4⋊C4C2×D411yescharacteristic
627C11×C4⋊C4C2411yescharacteristic
628C11×C4⋊C4C2411yescharacteristic
629C11×C4⋊C4C2411yescharacteristic
630C11×C4⋊C4C2411yescharacteristic
631C11×C22⋊C4—21no—
632C11×C22⋊C4—21no—
633C11×C22⋊C4—21no—
634C11×C22⋊C4—21no—
635C11×C22⋊C4—21no—
636C11×C22⋊C4—21no—
637C11×C22⋊C4—21no—
638C11×C22⋊C4C2×D411yescharacteristic
639C11×C22⋊C4C2×D411yescharacteristic
640C42×C11—21no—
641C42×C11C2411yescharacteristic
642C22⋊Dic11—21no—
643C22⋊Dic11—21no—
644C22⋊Dic11—21no—
645C22⋊Dic11—21no—
646C22⋊Dic11—21no—
647C22⋊Dic11—21no—
648C22⋊Dic11—21no—
649C22⋊Dic11C2×D411yescharacteristic
650C22⋊Dic11C2×D411yescharacteristic
651#4326—41no—
652#4326—41no—
653#4326—41no—
654#4326—41no—
655#4325—41no—
656#4325—41no—
657#4324—22no—
658#4324—22no—
659#4324—41no—
660#4324—41no—
661#4323—22no—
662#4323—22no—
663(C2×D11)⋊C4—21no—
664(C2×D11)⋊C4—21no—
665(C2×D11)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
682(C2×D11)⋊C4C2×D411yescharacteristic
683(C2×D11)⋊C4C2×D411yescharacteristic
684(C2×D11)⋊C4C2×D411yescharacteristic
685C4⋊Dic11—21no—
686C4⋊Dic11—21no—
687C4⋊Dic11—21no—
688C4⋊Dic11—21no—
689C4⋊Dic11—21no—
690C4⋊Dic11—21no—
691C4⋊Dic11—21no—
692C4⋊Dic11—21no—
693C4⋊Dic11—21no—
694C4⋊Dic11—21no—
695C4⋊Dic11C2×D411yescharacteristic
696C4⋊Dic11C2411yescharacteristic
697C4⋊Dic11C2411yescharacteristic
698Dic11⋊C4—21no—
699Dic11⋊C4—21no—
700Dic11⋊C4—21no—
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4—21no—
711Dic11⋊C4—21no—
712Dic11⋊C4C2×D411yescharacteristic
713Dic11⋊C4C2×D411yescharacteristic
714C4×Dic11—21no—
715C4×Dic11—21no—
716C4×Dic11—21no—
717C4×Dic11C2×D411yescharacteristic
718C4×Dic11C2×D411yescharacteristic
719C4×Dic11C2411yescharacteristic
720#4318—41no—
721C2×C11⋊C8—41no—
722C2×C11⋊C8C2411yescharacteristic
723C2×C11⋊C8C2411yescharacteristic
724C2×C11⋊C8C2411yescharacteristic
725C2×C11⋊C8C2411yescharacteristic
726Dic44—41no—
727Dic44—41no—
728Dic44—41no—
729Dic44—41no—
730D88—22no—
731#4314—22no—
732#4314—22no—
733#4314—41no—
734#4314—41no—
735#4313—41no—
736#4313—41no—
737C8×D11—41no—
738C8×D11—41no—
739#3505—111no—
740C2×#547—111no—
741#3315—111no—
742#3315—111no—
743#3315—111no—
744#3315—111no—
745#3307—111no—
746#3307—111no—
747#3307—111no—
748#3307D1111yescharacteristic, complemented
749#3269—111no—
750#3269—111no—
751#3269—111no—
752#3269—111no—
753#3267—111no—
754#3267—111no—
755#3267—111no—
756#3267—111no—
757#3218—111no—
758#3218—111no—
759#3195—111no—
760#3193—111no—
761#3190—111no—
762#3190—111no—
763#3114—111no—
764#3114—111no—
765#3007—111no—
766#3006—111no—
767#3002—111no—
768#3002—111no—
769#2973—111no—
770C23×C11—21no—
771C23×C11—21no—
772C23×C11C22×D411yescharacteristic
773C23×C11C22×D411yescharacteristic
774C22×D11—24no—
775C22×D11—21no—
776C22×D11—22no—
777C22×D11—22no—
778C22×D11—21no—
779C22×D11—41no—
780C22×D11—41no—
781C22×D11—41no—
782C22×D11—41no—
783C22×D11—42no—
784C22×D11—42no—
785C22×D11—42no—
786C22×D11—81no—
787C22×D11—81no—
788C22×D11C22×D411yescharacteristic
789C22×D11C22×D411yescharacteristic
790C22×D11C22×D411yescharacteristic
791Q8×C11—21no—
792Q8×C11—21no—
793Q8×C11—21no—
794Q8×C11—21no—
795D4×C11—21no—
796D4×C11—21no—
797D4×C11—21no—
798D4×C11—41no—
799D4×C11—42no—
800D4×C11—42no—
801D4×C11—42no—
802D4×C11—81no—
803D4×C11H(5,𝔽2)12yes—
804C2×C4×C11—21no—
805C2×C4×C11—21no—
806C2×C4×C11—21no—
807C2×C4×C11—21no—
808C2×C4×C11—21no—
809C2×C4×C11—21no—
810C2×C4×C11—21no—
811C2×C4×C11—21no—
812C2×C4×C11—21no—
813C2×C4×C11—21no—
814C2×C4×C11—42no—
815C2×C4×C11—42no—
816C2×C4×C11—42no—
817C2×C4×C11—81no—
818C2×C4×C11—81no—
819C2×C4×C11C22×D411yescharacteristic
820C2×C4×C11C22×D411yescharacteristic
821C2×C4×C11C22×D411yescharacteristic
822C2×C4×C11C22×D411yescharacteristic
823C2×C4×C11C2511yescharacteristic
824C22⋊D11—24no—
825C22⋊D11—41no—
826C22⋊D11—41no—
827C22⋊D11—42no—
828C22⋊D11—42no—
829C22⋊D11—42no—
830C22⋊D11—42no—
831C22⋊D11—42no—
832C22⋊D11—42no—
833C22⋊D11—81no—
834C22⋊D11—81no—
835C22⋊D11—81no—
836C2×Dic11—21no—
837C2×Dic11—21no—
838C2×Dic11—21no—
839C2×Dic11—21no—
840C2×Dic11—21no—
841C2×Dic11—21no—
842C2×Dic11—41no—
843C2×Dic11—41no—
844C2×Dic11—42no—
845C2×Dic11—42no—
846C2×Dic11—42no—
847C2×Dic11—81no—
848C2×Dic11—81no—
849C2×Dic11C22×D411yescharacteristic
850C2×Dic11C22×D411yescharacteristic
851C2×Dic11C22×D411yescharacteristic
852C2×Dic11C22×D411yescharacteristic
853C2×Dic11C22×D411yescharacteristic
854D44—21no—
855D44—21no—
856D44—21no—
857D44—41no—
858D44—42no—
859D44—42no—
860D44—42no—
861D44—81no—
862D44H(5,𝔽2)12yes—
863C4×D11—22no—
864C4×D11—21no—
865C4×D11—21no—
866C4×D11—21no—
867C4×D11—21no—
868C4×D11—21no—
869C4×D11—21no—
870C4×D11—41no—
871C4×D11—41no—
872C4×D11—41no—
873C4×D11—41no—
874C4×D11—41no—
875C4×D11—42no—
876C4×D11—42no—
877C4×D11—42no—
878C4×D11—42no—
879C4×D11—42no—
880C4×D11—42no—
881C4×D11—42no—
882C4×D11—42no—
883C4×D11—42no—
884C4×D11—42no—
885C4×D11—81no—
886C4×D11—81no—
887Dic22—21no—
888Dic22—21no—
889Dic22—21no—
890Dic22—21no—
891Dic22—21no—
892Dic22—21no—
893Dic22—21no—
894Dic22—21no—
895Dic22—42no—
896Dic22—42no—
897Dic22—81no—
898C8×C11—21no—
899C8×C11—21no—
900C8×C11—21no—
901C8×C11—21no—
902C11⋊C8—21no—
903C11⋊C8—21no—
904C11⋊C8—21no—
905C11⋊C8—21no—
906C22×#41—111no—
907C22×#41—111no—
908C2×#137—111no—
909C2×#137—111no—
910C2×AGL(1,ℤ/8)—111no—
911C2×AGL(1,ℤ/8)—111no—
912C2×#135—111no—
913C2×#135—111no—
914C2×#135—111no—
915C2×#135—111no—
916#553—111no—
917#553—221no—
918#553—221no—
919#553C2×D1111yescharacteristic, complemented
920#552—111no—
921#552—111no—
922#551—221no—
923#551—221no—
924#548—111no—
925#548—111no—
926#547—111no—
927#547—111no—
928#547—111no—
929#547—111no—
930#547—111no—
931#547—111no—
932#547—111no—
933#547—221no—
934#547—221no—
935#547—221no—
936#547—221no—
937#547C2×D1111yescharacteristic, complemented
938#546—111no—
939#546—111no—
940#539—221no—
941#538—221no—
942#534—221no—
943C2×C4⋊Q8—111no—
944#529—111no—
945#529—111no—
946#525—111no—
947#525—111no—
948C2×#123—221no—
949C2×#123—221no—
950C2×C22⋊Q8—111no—
951C2×C22⋊Q8—111no—
952C2×C22⋊Q8—111no—
953C2×#121—111no—
954C2×#121—221no—
955#518—221no—
956C2×C4×D4—111no—
957C2×C4×D4—111no—
958C22×C4⋊C4—221no—
959#497—111no—
960#497—111no—
961#497—111no—
962#497—111no—
963#491—111no—
964#491—111no—
965#491—111no—
966#491C2×D1111yescharacteristic, complemented
967#485—111no—
968#485—111no—
969#485—111no—
970#485C2×D1111yescharacteristic, complemented
971#484—111no—
972#484—111no—
973#483—111no—
974#483—111no—
975#483—111no—
976#483C2×D1111yescharacteristic, complemented
977#480—111no—
978#480—111no—
979#478—111no—
980#478—111no—
981#478—111no—
982#478C2×D1111yescharacteristic, complemented
983#470—111no—
984#470—111no—
985#470—111no—
986#470—111no—
987#468—111no—
988#468—111no—
989#468—111no—
990#468C2×D1111yescharacteristic, complemented
991#467—111no—
992#467—111no—
993#467—111no—
994#467—111no—
995#465—111no—
996#465—111no—
997#465—111no—
998#465C2×D1111yescharacteristic, complemented
999#463—111no—
1000#463—111no—
1001#463—111no—
1002#463—111no—
1003#462—111no—
1004#462—111no—
1005#462—111no—
1006#462—111no—
1007#461—111no—
1008#461—111no—
1009#461—111no—
1010#461C2×D1111yescharacteristic, complemented
1011#452—111no—
1012#452—111no—
1013#452—111no—
1014#452—111no—
1015#452—111no—
1016#452—111no—
1017#452—111no—
1018#452—111no—
1019#452—111no—
1020#452—111no—
1021#452—111no—
1022#452—111no—
1023#451—111no—
1024#451—111no—
1025#451—111no—
1026#451—111no—
1027#451—111no—
1028#451—111no—
1029#450—111no—
1030#450—111no—
1031#450—111no—
1032#450—111no—
1033#449—111no—
1034#449—111no—
1035#449—111no—
1036#449—111no—
1037#449—111no—
1038#449—111no—
1039#449C2×D1111yescharacteristic, complemented
1040#449C2×D1111yescharacteristic, complemented
1041#448—111no—
1042#448—111no—
1043#448—111no—
1044#448—111no—
1045#447—111no—
1046#447—111no—
1047#442—111no—
1048#442—111no—
1049#442—111no—
1050#442C2×D1111yescharacteristic, complemented
1051#440—111no—
1052#440—111no—
1053#440—111no—
1054#440—111no—
1055#435—111no—
1056#435—111no—
1057#435—111no—
1058#435—111no—
1059#435—111no—
1060#435—111no—
1061#435—111no—
1062#435C2×D1111yescharacteristic, complemented
1063#432—111no—
1064#432—111no—
1065#417—111no—
1066#417—111no—
1067#417—111no—
1068#417C2×D1111yescharacteristic, complemented
1069#416—111no—
1070#416—111no—
1071#416—111no—
1072#416C2×D1111yescharacteristic, complemented
1073#407—111no—
1074#407—111no—
1075C2×C22⋊C8—111no—
1076C2×C22⋊C8—111no—
1077C22×C11—21no—
1078C22×C11—21no—
1079C22×C11—21no—
1080C22×C11—21no—
1081C22×C11—22no—
1082C22×C11—21no—
1083C22×C11—21no—
1084C22×C11—41no—
1085C22×C11—41no—
1086C22×C11—41no—
1087C22×C11—41no—
1088C22×C11—41no—
1089C22×C11C23×D411yescharacteristic
1090C2×D11—21no—
1091C2×D11—21no—
1092C2×D11—21no—
1093C2×D11—21no—
1094C2×D11—22no—
1095C2×D11—21no—
1096C2×D11—21no—
1097C2×D11—21no—
1098C2×D11—21no—
1099C2×D11—48no—
1100C2×D11—41no—
1101C2×D11—41no—
1102C2×D11—41no—
1103C2×D11—41no—
1104C2×D11—41no—
1105C2×D11—82no—
1106C2×D11—82no—
1107C2×D11—162no—
1108C2×D11#57512yes—
1109C4×C11—21no—
1110C4×C11—21no—
1111C4×C11—21no—
1112C4×C11—21no—
1113C4×C11—41no—
1114C4×C11—41no—
1115C4×C11—41no—
1116C4×C11—41no—
1117C4×C11—41no—
1118C4×C11—41no—
1119C4×C11C2×H(5,𝔽2)11yescharacteristic
1120C4×C11C2×H(5,𝔽2)11yescharacteristic
1121Dic11—21no—
1122Dic11—21no—
1123Dic11—21no—
1124Dic11—21no—
1125Dic11—21no—
1126Dic11—41no—
1127Dic11—41no—
1128Dic11—41no—
1129Dic11—41no—
1130Dic11—41no—
1131Dic11—41no—
1132C2×#41—111no—
1133C2×#41—111no—
1134C2×#41—111no—
1135C2×#41—111no—
1136C2×#41—111no—
1137C2×#41—111no—
1138C2×#41—111no—
1139C2×#41—111no—
1140C2×#41—221no—
1141C2×#41—221no—
1142C2×#41—221no—
1143C2×#41—221no—
1144C2×#41—442no—
1145C2×#41—442no—
1146C2×#41—442no—
1147C2×#41—442no—
1148C2×#41C22×D1111yescharacteristic
1149C2×#41C22×D1111yescharacteristic
1150C22×Q8—111no—
1151C22×Q8—111no—
1152C22×Q8—111no—
1153C22×D4—111no—
1154C22×D4—111no—
1155C22×D4—111no—
1156C22×D4—221no—
1157C22×D4—221no—
1158C22×D4—221no—
1159C23×C4—111no—
1160C23×C4—111no—
1161C23×C4—221no—
1162C23×C4—221no—
1163C23×C4—221no—
1164#137—442no—
1165#137—442no—
1166AGL(1,ℤ/8)—442no—
1167AGL(1,ℤ/8)—442no—
1168#135—442no—
1169#135—442no—
1170#135—442no—
1171#135—442no—
1172C2×Q16—111no—
1173C2×Q16—111no—
1174C2×Q16—111no—
1175C2×Q16—111no—
1176C2×Q16—111no—
1177C2×Q16—111no—
1178C2×Q16—111no—
1179C2×Q16—111no—
1180C2×SD16—111no—
1181C2×SD16—111no—
1182C2×SD16—111no—
1183C2×SD16—111no—
1184C2×SD16—111no—
1185C2×SD16—111no—
1186C2×SD16—111no—
1187C2×SD16—111no—
1188C2×SD16—111no—
1189C2×SD16—111no—
1190C2×SD16C22×D1111yescharacteristic
1191C2×SD16C22×D1111yescharacteristic
1192C2×D8—111no—
1193C2×D8—111no—
1194C2×D8—111no—
1195C2×D8C22×D1111yescharacteristic
1196C2×M16—111no—
1197C2×M16—111no—
1198C2×M16—111no—
1199C2×M16C22×D1111yescharacteristic
1200C22×C8—111no—
1201C22×C8—111no—
1202C22×C8—111no—
1203C22×C8C22×D1111yescharacteristic
1204C4⋊Q8—111no—
1205C4⋊Q8—111no—
1206C4⋊Q8—111no—
1207C4⋊Q8—221no—
1208C4⋊Q8—221no—
1209C4⋊Q8C22×D1111yescharacteristic
1210#126—21no—
1211#126—221no—
1212#126—221no—
1213#126—221no—
1214#126—221no—
1215#126—221no—
1216#125—111no—
1217#125—221no—
1218#125—221no—
1219#125C22×D1111yescharacteristic
1220#124—111no—
1221#124—111no—
1222#124—221no—
1223#124—221no—
1224#123—21no—
1225#123—21no—
1226#123—21no—
1227#123—221no—
1228#123—221no—
1229#123—221no—
1230#123—221no—
1231#123—221no—
1232#123—221no—
1233#123—221no—
1234#123—221no—
1235#123—221no—
1236#123—221no—
1237#123—221no—
1238#123—221no—
1239#123—221no—
1240#123—221no—
1241#123—221no—
1242#123—221no—
1243#123—221no—
1244#123—221no—
1245#123—221no—
1246#123—221no—
1247#123—221no—
1248#123—221no—
1249#123—221no—
1250C22⋊Q8—111no—
1251C22⋊Q8—111no—
1252C22⋊Q8—111no—
1253C22⋊Q8—111no—
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—221no—
1263C22⋊Q8—221no—
1264C22⋊Q8—221no—
1265C22⋊Q8—221no—
1266C22⋊Q8—221no—
1267C22⋊Q8—221no—
1268C22⋊Q8—221no—
1269C22⋊Q8—221no—
1270C22⋊Q8C22×D1111yescharacteristic
1271C22⋊Q8C22×D1111yescharacteristic
1272#121—21no—
1273#121—21no—
1274#121—111no—
1275#121—111no—
1276#121—111no—
1277#121—111no—
1278#121—221no—
1279#121—221no—
1280#121—221no—
1281#121—221no—
1282#121—221no—
1283#121—221no—
1284#121—221no—
1285#121—221no—
1286#121—221no—
1287#121—221no—
1288#121—221no—
1289#121—221no—
1290#121—221no—
1291#121—221no—
1292#121C22×D1111yescharacteristic
1293#121C22×D1111yescharacteristic
1294#120—221no—
1295#120—221no—
1296#120—221no—
1297#120—221no—
1298C4×Q8—111no—
1299C4×Q8—111no—
1300C4×D4—21no—
1301C4×D4—111no—
1302C4×D4—111no—
1303C4×D4—111no—
1304C4×D4—111no—
1305C4×D4—111no—
1306C4×D4—111no—
1307C4×D4—111no—
1308C4×D4—111no—
1309C4×D4—111no—
1310C4×D4—111no—
1311C4×D4—111no—
1312C4×D4—221no—
1313C4×D4—221no—
1314C4×D4—221no—
1315C4×D4—221no—
1316C4×D4—221no—
1317C4×D4—221no—
1318C4×D4—221no—
1319C4×D4—221no—
1320C4×D4—221no—
1321C4×D4—221no—
1322C4×D4—221no—
1323C4×D4C22×D1111yescharacteristic
1324C4×D4C22×D1111yescharacteristic
1325C4×D4C22×D1111yescharacteristic
1326#117—111no—
1327#117—221no—
1328#117—221no—
1329#117—221no—
1330#117—221no—
1331#117C22×D1111yescharacteristic
1332C2×C4⋊C4—21no—
1333C2×C4⋊C4—111no—
1334C2×C4⋊C4—111no—
1335C2×C4⋊C4—111no—
1336C2×C4⋊C4—221no—
1337C2×C4⋊C4—221no—
1338C2×C4⋊C4—221no—
1339C2×C4⋊C4—221no—
1340C2×C4⋊C4—221no—
1341C2×C4⋊C4—221no—
1342C2×C4⋊C4—221no—
1343C2×C4⋊C4—221no—
1344C2×C4⋊C4—221no—
1345C2×C4⋊C4—221no—
1346C2×C4⋊C4—221no—
1347C2×C4⋊C4—221no—
1348C2×C4⋊C4C22×D1111yescharacteristic
1349C2×C22⋊C4—111no—
1350C2×C22⋊C4—111no—
1351C2×C22⋊C4—221no—
1352C2×C22⋊C4—221no—
1353C2×C22⋊C4—221no—
1354C2×C22⋊C4—221no—
1355C2×C22⋊C4—221no—
1356C2×C22⋊C4—221no—
1357C2×C22⋊C4—221no—
1358C2×C42—111no—
1359#107—111no—
1360#107—111no—
1361#107—111no—
1362#107C22×D1111yescharacteristic
1363#106—111no—
1364#106—111no—
1365#106C22×D1111yescharacteristic
1366#106C22×D1111yescharacteristic
1367C4⋊C8—111no—
1368C4⋊C8—111no—
1369C4⋊C8—111no—
1370C4⋊C8C22×D1111yescharacteristic
1371#103—111no—
1372#103—111no—
1373#103—111no—
1374#103—111no—
1375#103—111no—
1376#103—111no—
1377#103—111no—
1378#103—111no—
1379#103—111no—
1380#103—111no—
1381#103—111no—
1382#103—111no—
1383#103—111no—
1384#103—111no—
1385#103C22×D1111yescharacteristic
1386#103C22×D1111yescharacteristic
1387#103C22×D1111yescharacteristic
1388#103C22×D1111yescharacteristic
1389#103C22×D1111yescharacteristic
1390#103C22×D1111yescharacteristic
1391#102—111no—
1392#102—111no—
1393#102—111no—
1394#102—111no—
1395#102—111no—
1396#102—111no—
1397#102—111no—
1398#102—111no—
1399#102C22×D1111yescharacteristic
1400#102C22×D1111yescharacteristic
1401#102C22×D1111yescharacteristic
1402#102C22×D1111yescharacteristic
1403C22⋊C8—111no—
1404C22⋊C8—111no—
1405C22⋊C8—111no—
1406C22⋊C8—111no—
1407C22⋊C8—111no—
1408C22⋊C8—111no—
1409C22⋊C8—111no—
1410C22⋊C8—111no—
1411C22⋊C8—111no—
1412C22⋊C8—111no—
1413C22⋊C8C22×D1111yescharacteristic
1414C22⋊C8C22×D1111yescharacteristic
1415#97—111no—
1416#97—111no—
1417#97—111no—
1418#97C22×D1111yescharacteristic
1419C2×C11—42no—
1420C2×C11—41no—
1421C2×C11—41no—
1422C2×C11—81no—
1423C2×C11#348411yescharacteristic
1424C2×C11C2×#57511yescharacteristic
1425C2×C11#358611yescharacteristic
1426D11—22no—
1427D11—41no—
1428D11—41no—
1429D11—42no—
1430D11—81no—
1431C24—111no—
1432C24—111no—
1433C24—221no—
1434C24—221no—
1435#41—22no—
1436#41—22no—
1437#41—41no—
1438#41—41no—
1439#41—222no—
1440#41—222no—
1441#41—222no—
1442#41—222no—
1443#41—222no—
1444#41—222no—
1445#41—441no—
1446#41—441no—
1447#41—441no—
1448#41—441no—
1449#41—444no—
1450#41—444no—
1451#41—441no—
1452#41—441no—
1453#41—441no—
1454#41—441no—
1455#41—441no—
1456#41—441no—
1457#41—444no—
1458#41—444no—
1459C2×Q8—111no—
1460C2×Q8—111no—
1461C2×Q8—111no—
1462C2×Q8—111no—
1463C2×Q8—221no—
1464C2×Q8—221no—
1465C2×Q8—221no—
1466C2×Q8—441no—
1467C2×Q8—441no—
1468C2×Q8—441no—
1469C2×Q8—441no—
1470C2×Q8—441no—
1471C2×Q8—441no—
1472C2×Q8C23×D1111yescharacteristic
1473C2×Q8C23×D1111yescharacteristic
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—111no—
1479C2×D4—111no—
1480C2×D4—111no—
1481C2×D4—111no—
1482C2×D4—111no—
1483C2×D4—221no—
1484C2×D4—221no—
1485C2×D4—221no—
1486C2×D4—221no—
1487C2×D4—221no—
1488C2×D4—221no—
1489C2×D4—222no—
1490C2×D4—222no—
1491C2×D4—221no—
1492C2×D4—221no—
1493C2×D4—221no—
1494C2×D4—221no—
1495C2×D4—221no—
1496C2×D4—221no—
1497C2×D4—221no—
1498C2×D4—221no—
1499C2×D4—441no—
1500C2×D4—441no—
1501C2×D4—442no—
1502C2×D4—444no—
1503C2×D4—444no—
1504C2×D4—444no—
1505C2×D4D4×D1111yescharacteristic
1506C2×D4C23×D1111yescharacteristic
1507C2×D4C23×D1111yescharacteristic
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—21no—
1513C22×C4—111no—
1514C22×C4—111no—
1515C22×C4—111no—
1516C22×C4—111no—
1517C22×C4—111no—
1518C22×C4—111no—
1519C22×C4—111no—
1520C22×C4—111no—
1521C22×C4—111no—
1522C22×C4—111no—
1523C22×C4—111no—
1524C22×C4—221no—
1525C22×C4—221no—
1526C22×C4—221no—
1527C22×C4—221no—
1528C22×C4—221no—
1529C22×C4—221no—
1530C22×C4—221no—
1531C22×C4—221no—
1532C22×C4—221no—
1533C22×C4—221no—
1534C22×C4—221no—
1535C22×C4—221no—
1536C22×C4—221no—
1537C22×C4—221no—
1538C22×C4—221no—
1539C22×C4—221no—
1540C22×C4—221no—
1541C22×C4—441no—
1542C22×C4—441no—
1543C22×C4—441no—
1544C22×C4—441no—
1545C22×C4—444no—
1546C22×C4—444no—
1547C22×C4—444no—
1548C22×C4C23×D1111yescharacteristic
1549C22×C4C23×D1111yescharacteristic
1550Q16—441no—
1551Q16—441no—
1552Q16—441no—
1553Q16—441no—
1554Q16—441no—
1555Q16—441no—
1556Q16—441no—
1557Q16—441no—
1558SD16—41no—
1559SD16—41no—
1560SD16—222no—
1561SD16—222no—
1562SD16—222no—
1563SD16—222no—
1564SD16—441no—
1565SD16—441no—
1566SD16—441no—
1567SD16—441no—
1568SD16—441no—
1569SD16—441no—
1570D8—22no—
1571D8—222no—
1572D8—222no—
1573D8—222no—
1574M16—41no—
1575M16—441no—
1576M16—441no—
1577M16—441no—
1578C2×C8—41no—
1579C2×C8—111no—
1580C2×C8—111no—
1581C2×C8—111no—
1582C2×C8—111no—
1583C2×C8—441no—
1584C2×C8—441no—
1585C2×C8—441no—
1586C2×C8C23×D1111yescharacteristic
1587C2×C8C23×D1111yescharacteristic
1588C2×C8C23×D1111yescharacteristic
1589C2×C8C23×D1111yescharacteristic
1590C4⋊C4—21no—
1591C4⋊C4—21no—
1592C4⋊C4—21no—
1593C4⋊C4—21no—
1594C4⋊C4—21no—
1595C4⋊C4—21no—
1596C4⋊C4—21no—
1597C4⋊C4—111no—
1598C4⋊C4—111no—
1599C4⋊C4—111no—
1600C4⋊C4—111no—
1601C4⋊C4—111no—
1602C4⋊C4—221no—
1603C4⋊C4—221no—
1604C4⋊C4—221no—
1605C4⋊C4—221no—
1606C4⋊C4—221no—
1607C4⋊C4—221no—
1608C4⋊C4—221no—
1609C4⋊C4—221no—
1610C4⋊C4—221no—
1611C4⋊C4—221no—
1612C4⋊C4—221no—
1613C4⋊C4—221no—
1614C4⋊C4—221no—
1615C4⋊C4—221no—
1616C4⋊C4—221no—
1617C4⋊C4—221no—
1618C4⋊C4—221no—
1619C4⋊C4—221no—
1620C4⋊C4—221no—
1621C4⋊C4—221no—
1622C4⋊C4—221no—
1623C4⋊C4—221no—
1624C4⋊C4—221no—
1625C4⋊C4—221no—
1626C4⋊C4D4×D1111yescharacteristic
1627C4⋊C4C23×D1111yescharacteristic
1628C4⋊C4C23×D1111yescharacteristic
1629C4⋊C4C23×D1111yescharacteristic
1630C4⋊C4C23×D1111yescharacteristic
1631C22⋊C4—21no—
1632C22⋊C4—21no—
1633C22⋊C4—21no—
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—111no—
1639C22⋊C4—111no—
1640C22⋊C4—111no—
1641C22⋊C4—111no—
1642C22⋊C4—111no—
1643C22⋊C4—111no—
1644C22⋊C4—221no—
1645C22⋊C4—221no—
1646C22⋊C4—221no—
1647C22⋊C4—221no—
1648C22⋊C4—221no—
1649C22⋊C4—221no—
1650C22⋊C4—221no—
1651C22⋊C4—221no—
1652C22⋊C4—221no—
1653C22⋊C4—221no—
1654C22⋊C4—221no—
1655C22⋊C4—221no—
1656C22⋊C4—221no—
1657C22⋊C4—221no—
1658C22⋊C4—221no—
1659C22⋊C4—221no—
1660C22⋊C4—221no—
1661C22⋊C4—221no—
1662C22⋊C4—221no—
1663C22⋊C4—221no—
1664C22⋊C4—221no—
1665C22⋊C4—221no—
1666C22⋊C4—221no—
1667C22⋊C4—221no—
1668C22⋊C4—221no—
1669C22⋊C4D4×D1111yescharacteristic
1670C22⋊C4D4×D1111yescharacteristic
1671C42—21no—
1672C42—111no—
1673C42—111no—
1674C42—111no—
1675C42—221no—
1676C42—221no—
1677C42—221no—
1678C42C23×D1111yescharacteristic
1679C11#6157511yescharacteristic, complemented, Sylow
1680C23—21no—
1681C23—21no—
1682C23—111no—
1683C23—111no—
1684C23—111no—
1685C23—222no—
1686C23—222no—
1687C23—224no—
1688C23—221no—
1689C23—221no—
1690C23—441no—
1691C23—441no—
1692C23—441no—
1693C23—441no—
1694C23—442no—
1695C23—442no—
1696C23—442no—
1697C23—881no—
1698C23—881no—
1699C23C2×D4×D1111yescharacteristic
1700C23C2×D4×D1111yescharacteristic
1701Q8—21no—
1702Q8—21no—
1703Q8—21no—
1704Q8—21no—
1705Q8—221no—
1706Q8—221no—
1707Q8—221no—
1708Q8—221no—
1709Q8—221no—
1710Q8—221no—
1711Q8—221no—
1712Q8—221no—
1713Q8—442no—
1714Q8—442no—
1715Q8—881no—
1716D4—21no—
1717D4—21no—
1718D4—21no—
1719D4—41no—
1720D4—42no—
1721D4—42no—
1722D4—42no—
1723D4—81no—
1724D4—112no—
1725D4—224no—
1726D4—221no—
1727D4—221no—
1728D4—221no—
1729D4—441no—
1730D4—442no—
1731D4—442no—
1732D4—442no—
1733D4—441no—
1734D4—441no—
1735D4—442no—
1736D4—442no—
1737D4—442no—
1738D4—442no—
1739D4—442no—
1740D4—442no—
1741D4—881no—
1742D4—881no—
1743D4—881no—
1744D4—881no—
1745D4#6704212yes—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—42no—
1757C2×C4—42no—
1758C2×C4—42no—
1759C2×C4—81no—
1760C2×C4—81no—
1761C2×C4—111no—
1762C2×C4—111no—
1763C2×C4—111no—
1764C2×C4—111no—
1765C2×C4—111no—
1766C2×C4—222no—
1767C2×C4—221no—
1768C2×C4—221no—
1769C2×C4—221no—
1770C2×C4—221no—
1771C2×C4—221no—
1772C2×C4—221no—
1773C2×C4—221no—
1774C2×C4—221no—
1775C2×C4—221no—
1776C2×C4—221no—
1777C2×C4—221no—
1778C2×C4—221no—
1779C2×C4—441no—
1780C2×C4—441no—
1781C2×C4—441no—
1782C2×C4—441no—
1783C2×C4—441no—
1784C2×C4—442no—
1785C2×C4—442no—
1786C2×C4—442no—
1787C2×C4—442no—
1788C2×C4—442no—
1789C2×C4—442no—
1790C2×C4—442no—
1791C2×C4—442no—
1792C2×C4—442no—
1793C2×C4—442no—
1794C2×C4—441no—
1795C2×C4—441no—
1796C2×C4—442no—
1797C2×C4—442no—
1798C2×C4—442no—
1799C2×C4—881no—
1800C2×C4—881no—
1801C2×C4—881no—
1802C2×C4—881no—
1803C2×C4C2×D4×D1111yescharacteristic
1804C2×C4C2×D4×D1111yescharacteristic
1805C2×C4C2×D4×D1111yescharacteristic
1806C2×C4C2×D4×D1111yescharacteristic
1807C2×C4C24×D1111yescharacteristic
1808C8—21no—
1809C8—21no—
1810C8—21no—
1811C8—21no—
1812C8—221no—
1813C8—221no—
1814C8—221no—
1815C8—221no—
1816C22—21no—
1817C22—21no—
1818C22—21no—
1819C22—21no—
1820C22—22no—
1821C22—21no—
1822C22—21no—
1823C22—41no—
1824C22—41no—
1825C22—41no—
1826C22—41no—
1827C22—41no—
1828C22—112no—
1829C22—221no—
1830C22—221no—
1831C22—221no—
1832C22—221no—
1833C22—221no—
1834C22—221no—
1835C22—222no—
1836C22—221no—
1837C22—221no—
1838C22—448no—
1839C22—441no—
1840C22—441no—
1841C22—441no—
1842C22—441no—
1843C22—441no—
1844C22—882no—
1845C22—882no—
1846C22—1762no—
1847C22C22×D4×D1111yescharacteristic
1848C4—21no—
1849C4—21no—
1850C4—21no—
1851C4—21no—
1852C4—41no—
1853C4—41no—
1854C4—41no—
1855C4—41no—
1856C4—41no—
1857C4—41no—
1858C4—221no—
1859C4—221no—
1860C4—221no—
1861C4—221no—
1862C4—221no—
1863C4—441no—
1864C4—441no—
1865C4—441no—
1866C4—441no—
1867C4—441no—
1868C4—441no—
1869C4C2×#6704211yescharacteristic
1870C4D11×H(5,𝔽2)11yescharacteristic
1871C2—41no—
1872C2—41no—
1873C2—42no—
1874C2—81no—
1875C2—222no—
1876C2—441no—
1877C2—441no—
1878C2—442no—
1879C2—881no—
1880C2#1308224611yescharacteristic
1881C2D11×#57511yescharacteristic
1882C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3307C2
socleC22×C11C23×D4
hypercenter#3307D11
hypocenterC11#61575
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3307

Complements

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

NH ≅ G/Ntype
1. #13082445C2semidirect
2. D11×#547C2semidirect
3. #13080711C2semidirect
4. #13080710C2semidirect
5. #13080709C2semidirect
6. #13080708C2semidirect
7. #13080595C2semidirect
8. #13080593C2semidirect
9. #13080586C2semidirect
10. #13080178C2semidirect
11. #13080176C2semidirect
12. #13080169C2semidirect
13. #13080167C2semidirect
14. #13080147C2semidirect
15. #13080143C2semidirect
16. #13080138C2semidirect
17. #13080134C2semidirect
18. #13079644C2semidirect
19. #13079642C2semidirect
20. #13079439C2semidirect
21. #13079417C2semidirect
22. #13079401C2semidirect
23. #13079392C2semidirect
24. #13078759C2semidirect
25. #13078752C2semidirect
26. #13077877C2semidirect
27. #13077865C2semidirect
28. #13077836C2semidirect
29. #13077831C2semidirect
30. #13077641C2semidirect
31. C11×#3307C2semidirect
33. C2×#41×D11C22semidirect
34. C11×#553C22semidirect
35. C11×#547C22semidirect
37. #10623355C22semidirect
38. C2×#67004C22semidirect
39. C2×#67003C22semidirect
40. C2×#66969C22semidirect
41. C2×#66967C22semidirect
42. C2×#66965C22semidirect
43. C2×#66964C22semidirect
44. C2×#66962C22semidirect
45. C2×#66957C22semidirect
47. D11×C4⋊Q8C22semidirect
50. #10623225C22semidirect
59. #10623162C22semidirect
61. D11×C22⋊Q8C22semidirect
63. #10623143C22semidirect
69. #10623129C22semidirect
73. #10623085C22semidirect
74. #10623083C22semidirect
75. #10623082C22semidirect
78. C4×D4×D11C22semidirect
79. #10623060C22semidirect
81. #10623045C22semidirect
85. C11×#491C22semidirect
86. C11×#485C22semidirect
87. C11×#483C22semidirect
88. C11×#478C22semidirect
89. C11×#468C22semidirect
90. C11×#465C22semidirect
91. C11×#461C22semidirect
92. C11×#449C22semidirect
93. C11×#449C22semidirect
94. C11×#442C22semidirect
95. C11×#435C22semidirect
96. C11×#417C22semidirect
97. C11×#416C22semidirect
98. #10622852C22semidirect
99. #10622851C22semidirect
100. #10622786C22semidirect
103. #10622782C22semidirect
104. #10622780C22semidirect
105. #10622780C22semidirect
107. #10622766C22semidirect
108. #10622747C22semidirect
109. #10622740C22semidirect
111. #10622729C22semidirect
112. #10622724C22semidirect
113. C2×(C2×D11)⋊C8C22semidirect
114. #10622703C22semidirect
115. #10622699C22semidirect
116. #10622682C22semidirect
117. #10622679C22semidirect
118. #10622664C22semidirect
119. #10622663C22semidirect
120. #10622662C22semidirect
121. #10622660C22semidirect
122. #10622655C22semidirect
123. #10622654C22semidirect
124. #10622650C22semidirect
125. #10622650C22semidirect
126. #10622632C22semidirect
127. #10622631C22semidirect
128. #10622629C22semidirect
129. #10622627C22semidirect
130. #10622624C22semidirect
131. #10622615C22semidirect
132. #10622609C22semidirect
133. #10622584C22semidirect
134. #10622579C22semidirect
135. #10622502C22semidirect
136. #10622500C22semidirect
137. #10622497C22semidirect
139. #10622484C22semidirect
140. #10622482C22semidirect
141. #10622481C22semidirect
142. #10622481C22semidirect
143. #10622480C22semidirect
144. #10622477C22semidirect
145. #10622475C22semidirect
146. #10622475C22semidirect
147. #10622462C22semidirect
148. #10622457C22semidirect
149. #10622449C22semidirect
150. #10622448C22semidirect
151. #10622431C22semidirect
152. #10622431C22semidirect
153. #10622429C22semidirect
154. #10622429C22semidirect
155. #10622427C22semidirect
156. #10622426C22semidirect
157. #10622424C22semidirect
158. #10622423C22semidirect
159. #10622423C22semidirect
160. #10622423C22semidirect
161. #10622422C22semidirect
162. #10622421C22semidirect
163. #10622421C22semidirect
164. #10622421C22semidirect
165. #10622421C22semidirect
166. #10622420C22semidirect
169. #10622417C22semidirect
170. #10622416C22semidirect
171. #10622410C22semidirect
172. #10622410C22semidirect
173. #10622406C22semidirect
174. #10622406C22semidirect
175. #10622400C22semidirect
176. #10622398C22semidirect
177. #10622396C22semidirect
178. #10622396C22semidirect
179. #10622396C22semidirect
180. #10622396C22semidirect
181. #10622394C22semidirect
182. #10622389C22semidirect
183. #10622389C22semidirect
184. #10622389C22semidirect
187. #10622385C22semidirect
188. #10622384C22semidirect
189. #10622379C22semidirect
190. #10622370C22semidirect
191. #10622352C22semidirect
192. #10622347C22semidirect
193. #10622346C22semidirect
194. #10622346C22semidirect
195. #10622343C22semidirect
196. #10622341C22semidirect
198. D11×C22⋊C8C22semidirect
199. #10622328C22semidirect
200. #10622323C22semidirect
201. #10622319C22semidirect
202. #10622318C22semidirect
748. #3307D11semidirect
919. #553C2×D11semidirect
937. #547C2×D11semidirect
966. #491C2×D11semidirect
970. #485C2×D11semidirect
976. #483C2×D11semidirect
982. #478C2×D11semidirect
990. #468C2×D11semidirect
998. #465C2×D11semidirect
1010. #461C2×D11semidirect
1039. #449C2×D11semidirect
1040. #449C2×D11semidirect
1050. #442C2×D11semidirect
1062. #435C2×D11semidirect
1068. #417C2×D11semidirect
1072. #416C2×D11semidirect
1679. C11#61575semidirect

Maximal subgroups

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

subgroupindex
#130824452
D11×#5472
#130807112
#130807102
#130807092
#130807082
#130805952
#130805932
#130805862
#130801782
#130801762
#130801692
#130801672
#130801472
#130801432
#130801382
#130801342
#130796442
#130796422
#130794392
#130794172
#130794012
#130793922
#130787592
#130787522
#130778772
#130778652
#130778362
#130778312
#130776412
C11×#33072
#6157511