Finite Group Databasebeta

← #15639258

Subgroups — #15639258

Order 2816.

2138 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#13082445C211yesmaximal, characteristic, complemented
2#13082105C211yesmaximal, characteristic, complemented
3#13080881C211yesmaximal, characteristic, complemented
4#13080831C211yesmaximal, characteristic, complemented
5#13080783C211yesmaximal, characteristic, complemented
6#13080755C211yesmaximal, characteristic, complemented
7#13080738C211yesmaximal, characteristic, complemented
8#13080710C211yesmaximal, characteristic, complemented
9#13080460C211yesmaximal, characteristic, complemented
10#13080353C211yesmaximal, characteristic, complemented
11#13080328C211yesmaximal, characteristic, complemented
12#13080249C211yesmaximal, characteristic, complemented
13#13080222C211yesmaximal, characteristic, complemented
14#13080179C211yesmaximal, characteristic, complemented
15#13080149C211yesmaximal, characteristic, complemented
16#13080138C211yesmaximal, characteristic, complemented
17#13080108C211yesmaximal, characteristic, complemented
18#13079652C211yesmaximal, characteristic, complemented
19#13079593C211yesmaximal, characteristic, complemented
20#13079460C211yesmaximal, characteristic, complemented
21#13079445C211yesmaximal, characteristic, complemented
22#13079405C211yesmaximal, characteristic, complemented
23#13079376C211yesmaximal, characteristic, complemented
24#13078732C211yesmaximal, characteristic, complemented
25#13078632C211yesmaximal, characteristic, complemented
26#13077867C211yesmaximal, characteristic, complemented
27#13077854C211yesmaximal, characteristic, complemented
28#13077836C211yesmaximal, characteristic, complemented
29C2×#10622423C211yesmaximal, characteristic, complemented
30#13077649C211yesmaximal, characteristic, complemented
31C11×#3301C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic, complemented
33C22×#4343C2211yescharacteristic
34C11×#553C2211yescharacteristic, complemented
35C11×#548C2211yescharacteristic, complemented
36#10623365C2211yescharacteristic
37C2×#67003C2211yescharacteristic, complemented
38Q8×C22⋊D11C2211yescharacteristic, complemented
39C22×#4326C2211yescharacteristic, complemented
40C2×#66968C2211yescharacteristic, complemented
41C2×#66967C2211yescharacteristic, complemented
42C2×#66967C2211yescharacteristic, complemented
43C2×#66964C2211yescharacteristic, complemented
44C2×#66957C2211yescharacteristic, complemented
45C22×#4314C2211yescharacteristic, complemented
46#10623238—21no—
47#10623236—21no—
48#10623225C2211yescharacteristic, complemented
49#10623222C2211yescharacteristic, complemented
50#10623207—21no—
51#10623207C2211yescharacteristic
52#10623199—21no—
53#10623199C2211yescharacteristic, complemented
54#10623189—21no—
55#10623188—21no—
56#10623162—21no—
57#10623162C2211yescharacteristic
58#10623158—21no—
59#10623158C2211yescharacteristic, complemented
60#10623149—21no—
61#10623143C2211yescharacteristic, complemented
62#10623140—21no—
63#10623140C2211yescharacteristic, complemented
64#10623137—21no—
65#10623137C2211yescharacteristic
66#10623137C2211yescharacteristic, complemented
67#10623136—21no—
68D11×#121C2211yescharacteristic, complemented
69#10623129C2211yescharacteristic
70#10623107C2211yescharacteristic
71C4×#4343C2211yescharacteristic, complemented
72#10623096—21no—
73#10623088C2211yescharacteristic, complemented
74#10623085C2211yescharacteristic, complemented
75#10623083C2211yescharacteristic, complemented
76#10623081—21no—
77#10623081C2211yescharacteristic, complemented
78#10623076—21no—
79C4×D4×D11—21no—
80C4×D4×D11C2211yescharacteristic
81#10623060C2211yescharacteristic, complemented
82#10623055C2211yescharacteristic, complemented
83#10623045C2211yescharacteristic
84C2×#66950C2211yescharacteristic, complemented
85C11×#488C2211yescharacteristic, complemented
86C11×#485C2211yescharacteristic, complemented
87C11×#481C2211yescharacteristic, complemented
88C11×#479C2211yescharacteristic, complemented
89C11×#466C2211yescharacteristic, complemented
90C11×#465C2211yescharacteristic, complemented
91C11×#463C2211yescharacteristic, complemented
92C11×#449C2211yescharacteristic, complemented
93C11×#448C2211yescharacteristic, complemented
94C4×C11×SD16C2211yescharacteristic, complemented
95C8×D4×C11C2211yescharacteristic, complemented
96C11×#416C2211yescharacteristic, complemented
97C2×C11×#103C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic, complemented
99#10622840C2211yescharacteristic, complemented
100#10622786C2211yescharacteristic, complemented
101#10622785C2211yescharacteristic
102#10622785C2211yescharacteristic, complemented
103#10622780C2211yescharacteristic, complemented
104#10622779C2211yescharacteristic, complemented
105#10622771C2211yescharacteristic, complemented
106#10622769C2211yescharacteristic, complemented
107#10622767C2211yescharacteristic, complemented
108#10622727C2211yescharacteristic, complemented
109#10622727C2211yescharacteristic, complemented
110#10622724C2211yescharacteristic, complemented
111#10622724C2211yescharacteristic, complemented
112C2×(C2×D11)⋊C8C2211yescharacteristic, complemented
113C2×(C2×D11)⋊C8C2211yescharacteristic, complemented
114#10622681C2211yescharacteristic, complemented
115#10622679C2211yescharacteristic, complemented
116#10622672C2211yescharacteristic, complemented
117#10622667C2211yescharacteristic, complemented
118#10622664C2211yescharacteristic, complemented
119#10622660C2211yescharacteristic, complemented
120#10622654C2211yescharacteristic, complemented
121#10622653C2211yescharacteristic, complemented
122#10622651C2211yescharacteristic, complemented
123#10622651C2211yescharacteristic, complemented
124#10622650C2211yescharacteristic, complemented
125#10622649C2211yescharacteristic, complemented
126C4×#4326C2211yescharacteristic, complemented
127#10622641C2211yescharacteristic, complemented
128#10622629C2211yescharacteristic, complemented
129C4×#4323C2211yescharacteristic, complemented
130D4×C11⋊C8C2211yescharacteristic, complemented
131#10622616C2211yescharacteristic, complemented
132#10622615C2211yescharacteristic, complemented
133#10622583C2211yescharacteristic, complemented
134C2×#66873C2211yescharacteristic, complemented
135#10622502C2211yescharacteristic, complemented
136#10622499C2211yescharacteristic, complemented
137#10622498C2211yescharacteristic, complemented
138#10622497C2211yescharacteristic, complemented
139#10622484C2211yescharacteristic, complemented
140#10622482C2211yescharacteristic, complemented
141#10622481C2211yescharacteristic, complemented
142#10622481C2211yescharacteristic, complemented
143#10622480C2211yescharacteristic, complemented
144#10622480C2211yescharacteristic, complemented
145#10622479C2211yescharacteristic, complemented
146#10622478C2211yescharacteristic, complemented
147#10622458C2211yescharacteristic, complemented
148#10622457C2211yescharacteristic, complemented
149#10622451C2211yescharacteristic, complemented
150#10622448C2211yescharacteristic, complemented
151#10622431C2211yescharacteristic, complemented
152#10622430C2211yescharacteristic, complemented
153#10622429C2211yescharacteristic, complemented
154#10622428C2211yescharacteristic, complemented
155#10622425C2211yescharacteristic, complemented
156#10622424C2211yescharacteristic
157#10622424C2211yescharacteristic, complemented
158#10622423C2211yescharacteristic, complemented
159#10622423C2211yescharacteristic, complemented
160#10622423C2211yescharacteristic, complemented
161#10622423C2211yescharacteristic, complemented
162#10622423C2211yescharacteristic, complemented
163#10622423C2211yescharacteristic, complemented
164#10622423C2211yescharacteristic, complemented
165#10622423C2211yescharacteristic, complemented
166#10622421C2211yescharacteristic, complemented
167#10622419C2211yescharacteristic, complemented
168#10622416C2211yescharacteristic, complemented
169#10622416C2211yescharacteristic, complemented
170#10622415C2211yescharacteristic, complemented
171#10622412C2211yescharacteristic, complemented
172#10622410C2211yescharacteristic, complemented
173#10622406C2211yescharacteristic, complemented
174#10622402C2211yescharacteristic, complemented
175#10622400C2211yescharacteristic, complemented
176#10622399C2211yescharacteristic, complemented
177#10622396C2211yescharacteristic, complemented
178#10622396C2211yescharacteristic, complemented
179#10622394C2211yescharacteristic, complemented
180#10622394C2211yescharacteristic, complemented
181#10622393C2211yescharacteristic, complemented
182#10622393C2211yescharacteristic, complemented
183#10622392C2211yescharacteristic, complemented
184#10622390C2211yescharacteristic, complemented
185#10622389C2211yescharacteristic, complemented
186#10622389C2211yescharacteristic, complemented
187#10622386C2211yescharacteristic, complemented
188#10622383C2211yescharacteristic, complemented
189#10622377C2211yescharacteristic, complemented
190#10622375C2211yescharacteristic, complemented
191#10622352C2211yescharacteristic, complemented
192#10622347C2211yescharacteristic, complemented
193#10622346C2211yescharacteristic, complemented
194#10622345C2211yescharacteristic, complemented
195#10622343C2211yescharacteristic, complemented
196#10622343C2211yescharacteristic, complemented
197#10622339C2211yescharacteristic, complemented
198#10622339C2211yescharacteristic, complemented
199#10622309C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622301C2211yescharacteristic, complemented
202#10622298C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205#41×D11—42no—
206#41×D11—42no—
207C2×#4343—21no—
208C2×#4343—21no—
209C2×#4343—42no—
210C2×#4343—42no—
211C2×#4343C2311yescharacteristic
212C2×#4343C2311yescharacteristic
213C2×#4343C2311yescharacteristic
214C2×#4343C2311yescharacteristic
215C2×Q8×D11C2311yescharacteristic
216C2×#4341—21no—
217C2×#4341C2311yescharacteristic
218C2×#4341C2311yescharacteristic
219C2×D4×D11—21no—
220C2×D4×D11—21no—
221C2×D4×D11—21no—
222C2×D4×D11D411yescharacteristic
223C2×D4×D11C2311yescharacteristic
224C2×D4×D11C2311yescharacteristic
225C2×#4339—21no—
226C2×#4339C2311yescharacteristic
227C2×#4339C2311yescharacteristic
228C22×D44—21no—
229C22×D44C2311yescharacteristic
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
238C22×C8×C11C2311yescharacteristic
239C22×C8×C11C2311yescharacteristic
240C11×#126—21no—
241C11×#125C2311yescharacteristic
242C11×#124—21no—
243C11×#124C2311yescharacteristic
244C11×#123—21no—
245C11×C22⋊Q8—21no—
246C11×C22⋊Q8C2311yescharacteristic
247C11×#121—21no—
248C11×#121—21no—
249C11×#121C2311yescharacteristic
250C11×#121C2311yescharacteristic
251C11×#121C2311yescharacteristic
252C4×Q8×C11C2311yescharacteristic
253C4×D4×C11—21no—
254C4×D4×C11—21no—
255C4×D4×C11C2311yescharacteristic
256C4×D4×C11C2311yescharacteristic
257C11×#117C2311yescharacteristic
258C2×C11×C4⋊C4C2311yescharacteristic
259#67003—42no—
260#66999—21no—
261#66999C2311yescharacteristic
262Q8×Dic11C2311yescharacteristic
263#66997—21no—
264#66997C2311yescharacteristic
265C2×#4326—42no—
266C2×#4326C2311yescharacteristic
267C2×#4326C2311yescharacteristic
268C2×#4326C2311yescharacteristic
269C2×#4326C2311yescharacteristic
270C2×#4325C2311yescharacteristic
271C2×#4325C2311yescharacteristic
272#66993—21no—
273#66993C2311yescharacteristic
274#66992—21no—
275#66992—21no—
276#66992—21no—
277#66991—21no—
278#66991—21no—
279#66991C2311yescharacteristic
280#66991C2311yescharacteristic
281#66990—21no—
282#66990—21no—
283#66990—21no—
284#66990—21no—
285#66990—21no—
286#66989C2311yescharacteristic
287D4×Dic11—21no—
288D4×Dic11—21no—
289D4×Dic11—21no—
290D4×Dic11D411yescharacteristic
291C2×#4324C2311yescharacteristic
292C2×#4324C2311yescharacteristic
293C2×#4324C2311yescharacteristic
294C2×#4323C2311yescharacteristic
295C2×#4323C2311yescharacteristic
296C2×#4323C2311yescharacteristic
297#66983—21no—
298#66983—21no—
299#66983—21no—
300#66983C2311yescharacteristic
301#66983C2311yescharacteristic
302C4×C22⋊D11—21no—
303C4×C22⋊D11—21no—
304C4×C22⋊D11—21no—
305C4×C22⋊D11—21no—
306C4×C22⋊D11C2311yescharacteristic
307C4×C22⋊D11C2311yescharacteristic
308C2×(C2×D11)⋊C4—21no—
309C2×(C2×D11)⋊C4—21no—
310#66979—21no—
311C2×C4⋊Dic11—21no—
312#66977—21no—
313#66977C2311yescharacteristic
314#66977C2311yescharacteristic
315C22×C11⋊C8C2311yescharacteristic
316C22×C11⋊C8C2311yescharacteristic
317#66968—42no—
318#66967—42no—
319#66967—42no—
320#66964—42no—
321C2×Dic44C2311yescharacteristic
322C2×Dic44C2311yescharacteristic
323#66957—42no—
324C2×D88C2311yescharacteristic
325C2×D88C2311yescharacteristic
326C2×#4314—42no—
327C2×#4314C2311yescharacteristic
328C2×#4314C2311yescharacteristic
329C2×#4314C2311yescharacteristic
330C2×#4314C2311yescharacteristic
331C2×#4314C2311yescharacteristic
332C2×#4313C2311yescharacteristic
333C2×#4313C2311yescharacteristic
334C2×#4313C2311yescharacteristic
335C2×#4313C2311yescharacteristic
336#66951—21no—
337#66951—21no—
338#66951—21no—
339#66950—21no—
340#66950—21no—
341#66950—21no—
342#66950C2311yescharacteristic
343#66950C2311yescharacteristic
344#66950C2311yescharacteristic
345#66950C2311yescharacteristic
346#66950C2311yescharacteristic
347#66950C2311yescharacteristic
348#66949—21no—
349#66948—21no—
350#66948C2311yescharacteristic
351#66948C2311yescharacteristic
352#66948C2311yescharacteristic
353#66947—21no—
354#66947—21no—
355#66947—21no—
356#66947—21no—
357#66947—21no—
358#66947—21no—
359#66946—21no—
360#66946—21no—
361#66946—21no—
362#66946D411yescharacteristic
363#66946C2311yescharacteristic
364#66946C2311yescharacteristic
365#66945—21no—
366#66945—21no—
367#66945—21no—
368#66945C2311yescharacteristic
369#66945C2311yescharacteristic
370C4⋊C4×D11—21no—
371C4⋊C4×D11D411yescharacteristic
372C4⋊C4×D11C2311yescharacteristic
373#66943—21no—
374#66943C2311yescharacteristic
375#66940C2311yescharacteristic
376#66939—21no—
377#66939—21no—
378#66938—21no—
379#66938—21no—
380#66937—21no—
381#66937—21no—
382#66937—21no—
383#66937—21no—
384#66937—21no—
385#66937—21no—
386#66937—21no—
387#66936—21no—
388#66936—21no—
389#66936—21no—
390#66936—21no—
391#66936—21no—
392#66936—21no—
393#66936—21no—
394#66935—21no—
395#66935—21no—
396#66935—21no—
397#66935—21no—
398#66935—21no—
399(C22⋊D11)⋊C4—21no—
400(C22⋊D11)⋊C4—21no—
401(C22⋊D11)⋊C4—21no—
402(C22⋊D11)⋊C4—21no—
403(C22⋊D11)⋊C4—21no—
404(C22⋊D11)⋊C4—21no—
405(C22⋊D11)⋊C4D411yescharacteristic
406(C22⋊D11)⋊C4D411yescharacteristic
407C22⋊C4×D11—21no—
408C22⋊C4×D11—21no—
409C22⋊C4×D11—21no—
410C22⋊C4×D11—21no—
411C22⋊C4×D11D411yescharacteristic
412C22⋊C4×D11D411yescharacteristic
413#66932—21no—
414#66932—21no—
415#66931—21no—
416#66928—21no—
417#66928C2311yescharacteristic
418#66928C2311yescharacteristic
419C4×D44—21no—
420C4×D44—21no—
421C4×D44—21no—
422C4×D44—21no—
423C4×D44C2311yescharacteristic
424C4×D44C2311yescharacteristic
425#66925—21no—
426C42×D11—21no—
427C42×D11C2311yescharacteristic
428#66923—21no—
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
446C4×C8×C11C2311yescharacteristic
447#66899C2311yescharacteristic
448#66899C2311yescharacteristic
449#66896C2311yescharacteristic
450#66896C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453#66885C2311yescharacteristic
454#66885C2311yescharacteristic
455#66885C2311yescharacteristic
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(C2×D11)⋊C8C2311yescharacteristic
464#66881C2311yescharacteristic
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#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66873C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66871C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489C4×C11⋊C8C2311yescharacteristic
490#61606—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C23×D11C2×D411yescharacteristic
495C23×D11C2×D411yescharacteristic
496C11×#41—22no—
497C11×#41—41no—
498C2×Q8×C11—21no—
499C2×Q8×C11—22no—
500C2×Q8×C11—41no—
501C2×Q8×C11C2411yescharacteristic
502C2×Q8×C11C2411yescharacteristic
503C2×D4×C11—21no—
504C2×D4×C11—21no—
505C2×D4×C11—21no—
506C2×D4×C11—21no—
507C2×D4×C11C2×D411yescharacteristic
508C2×D4×C11C2411yescharacteristic
509C2×D4×C11C2411yescharacteristic
510C22×C4×C11—21no—
511C22×C4×C11—21no—
512C22×C4×C11—21no—
513C22×C4×C11—21no—
514C22×C4×C11C2411yescharacteristic
515C22×C4×C11C2411yescharacteristic
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11—21no—
527C2×C22⋊D11—21no—
528C2×C22⋊D11C2×D411yescharacteristic
529C2×C22⋊D11C2×D411yescharacteristic
530C22×Dic11—21no—
531C22×Dic11—21no—
532C22×Dic11—21no—
533C22×Dic11C2×D411yescharacteristic
534C22×Dic11C2×D411yescharacteristic
535#4343—22no—
536#4343—22no—
537#4343—22no—
538#4343—22no—
539#4343—41no—
540#4343—41no—
541#4343—41no—
542#4343—41no—
543#4343—44no—
544#4343—44no—
545Q8×D11—22no—
546Q8×D11—41no—
547#4341—41no—
548#4341—41no—
549#4341—41no—
550#4341—41no—
551#4341—44no—
552D4×D11—22no—
553D4×D11—42no—
554D4×D11—41no—
555D4×D11—41no—
556D4×D11—41no—
557D4×D11—44no—
558D4×D11—44no—
559D4×D11—44no—
560#4339—22no—
561#4339—41no—
562#4339—41no—
563#4339—41no—
564#4339—44no—
565C2×D44—21no—
566C2×D44—21no—
567C2×D44—21no—
568C2×D44—21no—
569C2×D44—21no—
570C2×D44—21no—
571C2×D44—21no—
572C2×D44—22no—
573C2×D44—21no—
574C2×D44—41no—
575C2×D44—44no—
576C2×D44C2×D411yescharacteristic
577C2×D44C2411yescharacteristic
578C2×D44C2411yescharacteristic
579C2×D44C2411yescharacteristic
580C2×C4×D11—21no—
581C2×C4×D11—21no—
582C2×C4×D11—21no—
583C2×C4×D11—21no—
584C2×C4×D11—21no—
585C2×C4×D11—21no—
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—21no—
589C2×C4×D11—21no—
590C2×C4×D11—21no—
591C2×C4×D11—41no—
592C2×C4×D11—41no—
593C2×C4×D11—41no—
594C2×C4×D11—41no—
595C2×C4×D11—44no—
596C2×C4×D11—44no—
597C2×C4×D11C2×D411yescharacteristic
598C2×C4×D11C2×D411yescharacteristic
599C2×C4×D11C2×D411yescharacteristic
600C2×C4×D11C2×D411yescharacteristic
601C2×C4×D11C2×D411yescharacteristic
602C2×C4×D11C2×D411yescharacteristic
603C2×C4×D11C2411yescharacteristic
604C2×C4×D11C2411yescharacteristic
605C2×C4×D11C2411yescharacteristic
606C2×Dic22—21no—
607C2×Dic22—21no—
608C2×Dic22—41no—
609C2×Dic22—41no—
610C2×Dic22C2411yescharacteristic
611C2×Dic22C2411yescharacteristic
612C2×Dic22C2411yescharacteristic
613C11×SD16—22no—
614C11×SD16—41no—
615C11×D8—41no—
616C2×C8×C11—41no—
617C2×C8×C11—41no—
618C2×C8×C11C2411yescharacteristic
619C2×C8×C11C2411yescharacteristic
620C2×C8×C11C2411yescharacteristic
621C2×C8×C11C2411yescharacteristic
622C11×C4⋊C4—21no—
623C11×C4⋊C4—21no—
624C11×C4⋊C4—21no—
625C11×C4⋊C4—21no—
626C11×C4⋊C4—21no—
627C11×C4⋊C4C2×D411yescharacteristic
628C11×C4⋊C4C2411yescharacteristic
629C11×C4⋊C4C2411yescharacteristic
630C11×C4⋊C4C2411yescharacteristic
631C11×C4⋊C4C2411yescharacteristic
632C11×C22⋊C4—21no—
633C11×C22⋊C4—21no—
634C11×C22⋊C4—21no—
635C11×C22⋊C4—21no—
636C11×C22⋊C4—21no—
637C11×C22⋊C4—21no—
638C11×C22⋊C4—21no—
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⋊Dic11C2×D411yescharacteristic
652C22⋊Dic11C2×D411yescharacteristic
653#4326—22no—
654#4326—22no—
655#4326—41no—
656#4326—41no—
657#4325—22no—
658#4325—41no—
659#4324—41no—
660#4324—41no—
661#4324—41no—
662#4323—22no—
663#4323—41no—
664#4323—41no—
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)⋊C4—21no—
682(C2×D11)⋊C4—21no—
683(C2×D11)⋊C4—21no—
684(C2×D11)⋊C4—21no—
685(C2×D11)⋊C4—21no—
686(C2×D11)⋊C4C2×D411yescharacteristic
687(C2×D11)⋊C4C2×D411yescharacteristic
688(C2×D11)⋊C4C2×D411yescharacteristic
689(C2×D11)⋊C4C2×D411yescharacteristic
690C4⋊Dic11—21no—
691C4⋊Dic11—21no—
692C4⋊Dic11—21no—
693C4⋊Dic11—21no—
694C4⋊Dic11—21no—
695C4⋊Dic11—21no—
696C4⋊Dic11—21no—
697C4⋊Dic11—21no—
698C4⋊Dic11C2×D411yescharacteristic
699C4⋊Dic11C2411yescharacteristic
700C4⋊Dic11C2411yescharacteristic
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4C2×D411yescharacteristic
711Dic11⋊C4C2×D411yescharacteristic
712C4×Dic11—21no—
713C4×Dic11—21no—
714C4×Dic11—21no—
715C4×Dic11—21no—
716C4×Dic11—21no—
717C4×Dic11C2×D411yescharacteristic
718C4×Dic11C2×D411yescharacteristic
719C4×Dic11C2411yescharacteristic
720C2×C11⋊C8—41no—
721C2×C11⋊C8—41no—
722C2×C11⋊C8C2411yescharacteristic
723C2×C11⋊C8C2411yescharacteristic
724C2×C11⋊C8C2411yescharacteristic
725C2×C11⋊C8C2411yescharacteristic
726Dic44—41no—
727Dic44—41no—
728D88—22no—
729D88—41no—
730#4314—22no—
731#4314—22no—
732#4314—41no—
733#4314—41no—
734#4314—41no—
735#4313—41no—
736#4313—41no—
737#4313—41no—
738#4313—41no—
739#3505—111no—
740D4×#41—111no—
741#3327—111no—
742#3323—111no—
743#3320—111no—
744#3318—111no—
745#3317—111no—
746#3315—111no—
747#3301D1111yescharacteristic, complemented
748#3297—111no—
749#3285—111no—
750#3282—111no—
751#3275—111no—
752#3273—111no—
753#3270—111no—
754#3268—111no—
755#3267—111no—
756#3265—111no—
757#3219—111no—
758#3212—111no—
759#3197—111no—
760#3196—111no—
761#3191—111no—
762#3188—111no—
763#3111—111no—
764#3102—111no—
765#3006—111no—
766#3005—111no—
767#3002—111no—
768C2×#452—111no—
769#2974—111no—
770C23×C11—21no—
771C23×C11—21no—
772C23×C11C22×D411yescharacteristic
773C23×C11C22×D411yescharacteristic
774C22×D11—21no—
775C22×D11—22no—
776C22×D11—21no—
777C22×D11—21no—
778C22×D11—41no—
779C22×D11—41no—
780C22×D11—41no—
781C22×D11—41no—
782C22×D11—41no—
783C22×D11—42no—
784C22×D11—42no—
785C22×D11—42no—
786C22×D11—42no—
787C22×D11—42no—
788C22×D11—81no—
789C22×D11—81no—
790C22×D11—81no—
791C22×D11—81no—
792C22×D11C22×D411yescharacteristic
793C22×D11C22×D411yescharacteristic
794C22×D11C22×D411yescharacteristic
795Q8×C11—21no—
796Q8×C11—21no—
797Q8×C11—21no—
798Q8×C11—42no—
799Q8×C11H(5,𝔽2)12yes—
800D4×C11—22no—
801D4×C11—21no—
802D4×C11—21no—
803D4×C11—21no—
804D4×C11—21no—
805D4×C11—42no—
806D4×C11—42no—
807D4×C11—42no—
808D4×C11—81no—
809C2×C4×C11—21no—
810C2×C4×C11—21no—
811C2×C4×C11—21no—
812C2×C4×C11—21no—
813C2×C4×C11—21no—
814C2×C4×C11—21no—
815C2×C4×C11—21no—
816C2×C4×C11—21no—
817C2×C4×C11—21no—
818C2×C4×C11—21no—
819C2×C4×C11—42no—
820C2×C4×C11—42no—
821C2×C4×C11—81no—
822C2×C4×C11—81no—
823C2×C4×C11C22×D411yescharacteristic
824C2×C4×C11C22×D411yescharacteristic
825C2×C4×C11C22×D411yescharacteristic
826C2×C4×C11C22×D411yescharacteristic
827C2×C4×C11C2511yescharacteristic
828C22⋊D11—22no—
829C22⋊D11—41no—
830C22⋊D11—42no—
831C22⋊D11—42no—
832C22⋊D11—42no—
833C22⋊D11—42no—
834C22⋊D11—42no—
835C22⋊D11—42no—
836C22⋊D11—81no—
837C22⋊D11—81no—
838C22⋊D11—81no—
839C22⋊D11—81no—
840C22⋊D11—81no—
841C22⋊D11—81no—
842C2×Dic11—21no—
843C2×Dic11—21no—
844C2×Dic11—21no—
845C2×Dic11—21no—
846C2×Dic11—21no—
847C2×Dic11—41no—
848C2×Dic11—41no—
849C2×Dic11—42no—
850C2×Dic11—81no—
851C2×Dic11—81no—
852C2×Dic11C22×D411yescharacteristic
853C2×Dic11C22×D411yescharacteristic
854C2×Dic11C22×D411yescharacteristic
855C2×Dic11C22×D411yescharacteristic
856C2×Dic11C22×D411yescharacteristic
857D44—24no—
858D44—21no—
859D44—21no—
860D44—21no—
861D44—21no—
862D44—21no—
863D44—41no—
864D44—42no—
865D44—42no—
866D44—42no—
867D44—42no—
868D44—42no—
869D44—42no—
870D44—81no—
871D44H(5,𝔽2)12yes—
872C4×D11—24no—
873C4×D11—21no—
874C4×D11—21no—
875C4×D11—21no—
876C4×D11—21no—
877C4×D11—21no—
878C4×D11—21no—
879C4×D11—41no—
880C4×D11—41no—
881C4×D11—41no—
882C4×D11—41no—
883C4×D11—41no—
884C4×D11—41no—
885C4×D11—42no—
886C4×D11—42no—
887C4×D11—42no—
888C4×D11—42no—
889C4×D11—42no—
890C4×D11—42no—
891C4×D11—42no—
892C4×D11—81no—
893C4×D11—81no—
894C4×D11—81no—
895Dic22—21no—
896Dic22—21no—
897Dic22—21no—
898Dic22—21no—
899Dic22—21no—
900Dic22—21no—
901Dic22—42no—
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—
911C22×#41—111no—
912C22×#41—111no—
913C2×#137—111no—
914C2×AGL(1,ℤ/8)—111no—
915C2×AGL(1,ℤ/8)—111no—
916C2×AGL(1,ℤ/8)—111no—
917C2×#135—111no—
918C2×#135—111no—
919C22×Q16—111no—
920C22×SD16—111no—
921#553—111no—
922#553—221no—
923#553—221no—
924#553C2×D1111yescharacteristic, complemented
925#552—111no—
926#552—111no—
927#551—221no—
928#551—221no—
929#550—111no—
930D4×Q8—111no—
931#548—111no—
932#548—111no—
933#548—111no—
934#548C2×D1111yescharacteristic, complemented
935#547—111no—
936#547—221no—
937#546—111no—
938#546—111no—
939#546—111no—
940#546—111no—
941#546—221no—
942#546—221no—
943D42—111no—
944D42—221no—
945#539—221no—
946#538—221no—
947#534—221no—
948#532—111no—
949#532—221no—
950#529—111no—
951#529—111no—
952#525—111no—
953#525—111no—
954#525—111no—
955#525—111no—
956#525—221no—
957#525—221no—
958C2×C22⋊Q8—111no—
959C2×#121—111no—
960#518—221no—
961C4×#41—111no—
962C2×C4×D4—111no—
963C2×C4×D4—221no—
964#497—111no—
965#496—111no—
966#495—111no—
967#495—111no—
968#491—111no—
969#490—111no—
970#488—111no—
971#488C2×D1111yescharacteristic, complemented
972#485—111no—
973#485—111no—
974#485—111no—
975#485C2×D1111yescharacteristic, complemented
976#484—111no—
977#484—111no—
978#482—111no—
979#482—111no—
980#482—111no—
981#482—111no—
982#481—111no—
983#481C2×D1111yescharacteristic, complemented
984#479—111no—
985#479C2×D1111yescharacteristic, complemented
986#478—111no—
987#478—111no—
988#470—111no—
989#470—111no—
990#470—111no—
991#469—111no—
992#468—111no—
993#468—111no—
994#468—111no—
995#468—111no—
996#467—111no—
997#466—111no—
998#466—111no—
999#466C2×D1111yescharacteristic, complemented
1000#465—111no—
1001#465—111no—
1002#465—111no—
1003#465C2×D1111yescharacteristic, complemented
1004#464—111no—
1005#464—111no—
1006#464—111no—
1007#464—111no—
1008#463—111no—
1009#463—111no—
1010#463—111no—
1011#463C2×D1111yescharacteristic, complemented
1012#462—111no—
1013#461—111no—
1014#460—111no—
1015#459—111no—
1016#452—111no—
1017#452—111no—
1018#452—111no—
1019#452—111no—
1020#452—111no—
1021#452—111no—
1022#452—111no—
1023#452—111no—
1024#452—111no—
1025#452—111no—
1026#452—111no—
1027#452—111no—
1028#452—111no—
1029#452—111no—
1030#451—111no—
1031#451—111no—
1032#450—111no—
1033#450—111no—
1034#449—111no—
1035#449—111no—
1036#449—111no—
1037#449—111no—
1038#449—111no—
1039#449—111no—
1040#449—111no—
1041#449—111no—
1042#449—111no—
1043#449C2×D1111yescharacteristic, complemented
1044#448—111no—
1045#448—111no—
1046#448—111no—
1047#448C2×D1111yescharacteristic, complemented
1048#447—111no—
1049#447—111no—
1050#447—111no—
1051#447—111no—
1052#442—111no—
1053#441—111no—
1054#440—111no—
1055#440—111no—
1056C4×Q16—111no—
1057C4×SD16—111no—
1058C4×SD16C2×D1111yescharacteristic, complemented
1059C4×D8—111no—
1060#436—111no—
1061#436—111no—
1062#435—111no—
1063#435—111no—
1064#435—111no—
1065#435—111no—
1066C8×D4—111no—
1067C8×D4C2×D1111yescharacteristic, complemented
1068#432—111no—
1069#431—111no—
1070#419—111no—
1071#418—111no—
1072#417—111no—
1073#417—111no—
1074#416—111no—
1075#416C2×D1111yescharacteristic, complemented
1076C2×#103C2×D1111yescharacteristic, complemented
1077C2×#102—111no—
1078#407—111no—
1079#407—111no—
1080C2×C22⋊C8—111no—
1081C2×C22⋊C8—111no—
1082C22×C11—21no—
1083C22×C11—21no—
1084C22×C11—21no—
1085C22×C11—21no—
1086C22×C11—21no—
1087C22×C11—41no—
1088C22×C11—41no—
1089C22×C11—41no—
1090C22×C11—41no—
1091C22×C11—41no—
1092C22×C11—41no—
1093C22×C11#57512yes—
1094C22×C11C23×D411yescharacteristic
1095C2×D11—21no—
1096C2×D11—21no—
1097C2×D11—21no—
1098C2×D11—22no—
1099C2×D11—21no—
1100C2×D11—21no—
1101C2×D11—21no—
1102C2×D11—21no—
1103C2×D11—21no—
1104C2×D11—21no—
1105C2×D11—41no—
1106C2×D11—41no—
1107C2×D11—41no—
1108C2×D11—41no—
1109C2×D11—41no—
1110C2×D11—41no—
1111C2×D11—41no—
1112C2×D11—41no—
1113C2×D11—82no—
1114C2×D11—82no—
1115C2×D11—84no—
1116C2×D11—84no—
1117C2×D11—162no—
1118C4×C11—21no—
1119C4×C11—21no—
1120C4×C11—21no—
1121C4×C11—22no—
1122C4×C11—21no—
1123C4×C11—41no—
1124C4×C11—41no—
1125C4×C11—41no—
1126C4×C11—41no—
1127C4×C11—41no—
1128C4×C11C2×H(5,𝔽2)11yescharacteristic
1129C4×C11C2×H(5,𝔽2)11yescharacteristic
1130Dic11—21no—
1131Dic11—21no—
1132Dic11—21no—
1133Dic11—21no—
1134Dic11—21no—
1135Dic11—41no—
1136Dic11—41no—
1137Dic11—41no—
1138Dic11—41no—
1139Dic11—41no—
1140C2×#41—111no—
1141C2×#41—111no—
1142C2×#41—111no—
1143C2×#41—111no—
1144C2×#41—111no—
1145C2×#41—111no—
1146C2×#41—111no—
1147C2×#41—111no—
1148C2×#41—221no—
1149C2×#41—221no—
1150C2×#41—221no—
1151C2×#41—221no—
1152C2×#41—442no—
1153C2×#41—442no—
1154C2×#41—442no—
1155C2×#41—442no—
1156C2×#41C22×D1111yescharacteristic
1157C22×Q8—111no—
1158C22×Q8—111no—
1159C22×Q8C22×D1111yescharacteristic
1160C22×D4—111no—
1161C22×D4—111no—
1162C22×D4—111no—
1163C22×D4—111no—
1164C22×D4—221no—
1165C22×D4—221no—
1166C22×D4—221no—
1167C22×D4—221no—
1168C23×C4—111no—
1169C23×C4—111no—
1170C23×C4—221no—
1171C23×C4—221no—
1172#137—442no—
1173AGL(1,ℤ/8)—442no—
1174AGL(1,ℤ/8)—442no—
1175AGL(1,ℤ/8)—442no—
1176#135—442no—
1177#135—442no—
1178C2×Q16—111no—
1179C2×Q16—111no—
1180C2×Q16—111no—
1181C2×Q16—111no—
1182C2×Q16—111no—
1183C2×Q16—111no—
1184C2×Q16—442no—
1185C2×SD16—111no—
1186C2×SD16—111no—
1187C2×SD16—111no—
1188C2×SD16—111no—
1189C2×SD16—111no—
1190C2×SD16—111no—
1191C2×SD16—111no—
1192C2×SD16—111no—
1193C2×SD16—111no—
1194C2×SD16—111no—
1195C2×SD16—442no—
1196C2×SD16C22×D1111yescharacteristic
1197C2×SD16C22×D1111yescharacteristic
1198C2×D8—111no—
1199C2×D8—111no—
1200C2×D8—111no—
1201C2×D8—111no—
1202C2×D8—111no—
1203C2×D8C22×D1111yescharacteristic
1204C2×M16—111no—
1205C2×M16—111no—
1206C2×M16—111no—
1207C2×M16—111no—
1208C22×C8—111no—
1209C22×C8—111no—
1210C22×C8C22×D1111yescharacteristic
1211C22×C8C22×D1111yescharacteristic
1212C4⋊Q8—111no—
1213C4⋊Q8—221no—
1214#127—111no—
1215#127—221no—
1216#126—21no—
1217#126—221no—
1218#126—221no—
1219#126—221no—
1220#126—221no—
1221#126—221no—
1222#125—111no—
1223#125—221no—
1224#125—221no—
1225#125C22×D1111yescharacteristic
1226#124—21no—
1227#124—111no—
1228#124—111no—
1229#124—111no—
1230#124—221no—
1231#124—221no—
1232#124—221no—
1233#124C22×D1111yescharacteristic
1234#123—21no—
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—21no—
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—221no—
1261C22⋊Q8—221no—
1262C22⋊Q8—221no—
1263C22⋊Q8—221no—
1264C22⋊Q8—221no—
1265C22⋊Q8—221no—
1266C22⋊Q8—221no—
1267C22⋊Q8C22×D1111yescharacteristic
1268#121—21no—
1269#121—21no—
1270#121—111no—
1271#121—111no—
1272#121—111no—
1273#121—111no—
1274#121—111no—
1275#121—111no—
1276#121—111no—
1277#121—221no—
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#121—221no—
1293#121C22×D1111yescharacteristic
1294#121C22×D1111yescharacteristic
1295#121C22×D1111yescharacteristic
1296#120—221no—
1297#120—221no—
1298#120—221no—
1299#120—221no—
1300#120—221no—
1301#120—221no—
1302#120—221no—
1303#120—221no—
1304#120—221no—
1305#120—221no—
1306C4×Q8—111no—
1307C4×Q8—111no—
1308C4×Q8—111no—
1309C4×Q8C22×D1111yescharacteristic
1310C4×D4—21no—
1311C4×D4—21no—
1312C4×D4—111no—
1313C4×D4—111no—
1314C4×D4—111no—
1315C4×D4—111no—
1316C4×D4—111no—
1317C4×D4—111no—
1318C4×D4—111no—
1319C4×D4—111no—
1320C4×D4—111no—
1321C4×D4—111no—
1322C4×D4—221no—
1323C4×D4—221no—
1324C4×D4—221no—
1325C4×D4—221no—
1326C4×D4—221no—
1327C4×D4—221no—
1328C4×D4—221no—
1329C4×D4—221no—
1330C4×D4—221no—
1331C4×D4—221no—
1332C4×D4—221no—
1333C4×D4—221no—
1334C4×D4—221no—
1335C4×D4—221no—
1336C4×D4—221no—
1337C4×D4—221no—
1338C4×D4—221no—
1339C4×D4—221no—
1340C4×D4—221no—
1341C4×D4—221no—
1342C4×D4C22×D1111yescharacteristic
1343C4×D4C22×D1111yescharacteristic
1344#117—111no—
1345#117—111no—
1346#117—221no—
1347#117—221no—
1348#117—221no—
1349#117—221no—
1350#117—221no—
1351#117C22×D1111yescharacteristic
1352C2×C4⋊C4—111no—
1353C2×C4⋊C4—111no—
1354C2×C4⋊C4—221no—
1355C2×C4⋊C4—221no—
1356C2×C4⋊C4C22×D1111yescharacteristic
1357C2×C22⋊C4—111no—
1358C2×C22⋊C4—111no—
1359C2×C22⋊C4—221no—
1360C2×C22⋊C4—221no—
1361C2×C22⋊C4—221no—
1362C2×C22⋊C4—221no—
1363C2×C22⋊C4—221no—
1364C2×C22⋊C4—221no—
1365C2×C42—111no—
1366C2×C42—221no—
1367#107—111no—
1368#107—111no—
1369#107—111no—
1370#107C22×D1111yescharacteristic
1371#106—111no—
1372#106—111no—
1373#106C22×D1111yescharacteristic
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#103C22×D1111yescharacteristic
1390#103C22×D1111yescharacteristic
1391#103C22×D1111yescharacteristic
1392#103C22×D1111yescharacteristic
1393#103C22×D1111yescharacteristic
1394#103C22×D1111yescharacteristic
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#102C22×D1111yescharacteristic
1408#102C22×D1111yescharacteristic
1409#102C22×D1111yescharacteristic
1410#102C22×D1111yescharacteristic
1411C22⋊C8—111no—
1412C22⋊C8—111no—
1413C22⋊C8—111no—
1414C22⋊C8—111no—
1415C22⋊C8—111no—
1416C22⋊C8—111no—
1417C22⋊C8—111no—
1418C22⋊C8—111no—
1419C22⋊C8—111no—
1420C22⋊C8—111no—
1421C22⋊C8C22×D1111yescharacteristic
1422C22⋊C8C22×D1111yescharacteristic
1423#97—111no—
1424#97—111no—
1425C4×C8—111no—
1426C4×C8C22×D1111yescharacteristic
1427C2×C11—22no—
1428C2×C11—41no—
1429C2×C11—81no—
1430C2×C11—81no—
1431C2×C11#348411yescharacteristic
1432C2×C11C2×#57511yescharacteristic
1433C2×C11#358411yescharacteristic
1434D11—41no—
1435D11—41no—
1436D11—41no—
1437D11—42no—
1438D11—81no—
1439D11—81no—
1440C24—111no—
1441C24—111no—
1442C24—221no—
1443C24—221no—
1444C24—221no—
1445#41—22no—
1446#41—41no—
1447#41—222no—
1448#41—222no—
1449#41—222no—
1450#41—222no—
1451#41—222no—
1452#41—441no—
1453#41—441no—
1454#41—441no—
1455#41—444no—
1456#41—441no—
1457#41—441no—
1458#41—444no—
1459#41—441no—
1460#41—441no—
1461#41—441no—
1462#41—441no—
1463#41—444no—
1464#41—441no—
1465#41—441no—
1466#41—444no—
1467C2×Q8—21no—
1468C2×Q8—22no—
1469C2×Q8—41no—
1470C2×Q8—111no—
1471C2×Q8—111no—
1472C2×Q8—111no—
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×D4—21no—
1482C2×D4—21no—
1483C2×D4—21no—
1484C2×D4—21no—
1485C2×D4—111no—
1486C2×D4—111no—
1487C2×D4—111no—
1488C2×D4—111no—
1489C2×D4—111no—
1490C2×D4—111no—
1491C2×D4—222no—
1492C2×D4—221no—
1493C2×D4—221no—
1494C2×D4—221no—
1495C2×D4—221no—
1496C2×D4—221no—
1497C2×D4—221no—
1498C2×D4—221no—
1499C2×D4—221no—
1500C2×D4—221no—
1501C2×D4—221no—
1502C2×D4—221no—
1503C2×D4—222no—
1504C2×D4—221no—
1505C2×D4—221no—
1506C2×D4—221no—
1507C2×D4—221no—
1508C2×D4—221no—
1509C2×D4—221no—
1510C2×D4—221no—
1511C2×D4—221no—
1512C2×D4—221no—
1513C2×D4—441no—
1514C2×D4—444no—
1515C2×D4—441no—
1516C2×D4—441no—
1517C2×D4—441no—
1518C2×D4—442no—
1519C2×D4—444no—
1520C2×D4—444no—
1521C2×D4—444no—
1522C2×D4D4×D1111yescharacteristic
1523C2×D4C23×D1111yescharacteristic
1524C2×D4C23×D1111yescharacteristic
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—111no—
1530C22×C4—111no—
1531C22×C4—111no—
1532C22×C4—111no—
1533C22×C4—111no—
1534C22×C4—111no—
1535C22×C4—111no—
1536C22×C4—111no—
1537C22×C4—111no—
1538C22×C4—111no—
1539C22×C4—111no—
1540C22×C4—221no—
1541C22×C4—221no—
1542C22×C4—221no—
1543C22×C4—221no—
1544C22×C4—221no—
1545C22×C4—221no—
1546C22×C4—221no—
1547C22×C4—221no—
1548C22×C4—221no—
1549C22×C4—221no—
1550C22×C4—221no—
1551C22×C4—221no—
1552C22×C4—221no—
1553C22×C4—221no—
1554C22×C4—441no—
1555C22×C4—441no—
1556C22×C4—441no—
1557C22×C4—441no—
1558C22×C4—444no—
1559C22×C4—444no—
1560C22×C4C23×D1111yescharacteristic
1561C22×C4C23×D1111yescharacteristic
1562Q16—222no—
1563Q16—222no—
1564Q16—441no—
1565Q16—441no—
1566Q16—441no—
1567Q16—441no—
1568SD16—22no—
1569SD16—41no—
1570SD16—222no—
1571SD16—222no—
1572SD16—222no—
1573SD16—441no—
1574SD16—441no—
1575SD16—441no—
1576SD16—441no—
1577SD16—441no—
1578SD16—441no—
1579SD16—441no—
1580D8—41no—
1581D8—222no—
1582D8—222no—
1583D8—441no—
1584D8—441no—
1585D8—441no—
1586M16—441no—
1587M16—441no—
1588M16—441no—
1589M16—441no—
1590C2×C8—41no—
1591C2×C8—41no—
1592C2×C8—111no—
1593C2×C8—111no—
1594C2×C8—111no—
1595C2×C8—111no—
1596C2×C8—441no—
1597C2×C8—441no—
1598C2×C8C23×D1111yescharacteristic
1599C2×C8C23×D1111yescharacteristic
1600C2×C8C23×D1111yescharacteristic
1601C2×C8C23×D1111yescharacteristic
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—111no—
1608C4⋊C4—111no—
1609C4⋊C4—111no—
1610C4⋊C4—111no—
1611C4⋊C4—111no—
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⋊C4—221no—
1627C4⋊C4—221no—
1628C4⋊C4—221no—
1629C4⋊C4D4×D1111yescharacteristic
1630C4⋊C4C23×D1111yescharacteristic
1631C4⋊C4C23×D1111yescharacteristic
1632C4⋊C4C23×D1111yescharacteristic
1633C4⋊C4C23×D1111yescharacteristic
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—21no—
1641C22⋊C4—21no—
1642C22⋊C4—111no—
1643C22⋊C4—111no—
1644C22⋊C4—111no—
1645C22⋊C4—111no—
1646C22⋊C4—111no—
1647C22⋊C4—111no—
1648C22⋊C4—221no—
1649C22⋊C4—221no—
1650C22⋊C4—221no—
1651C22⋊C4—221no—
1652C22⋊C4—221no—
1653C22⋊C4—221no—
1654C22⋊C4—221no—
1655C22⋊C4—221no—
1656C22⋊C4—221no—
1657C22⋊C4—221no—
1658C22⋊C4—221no—
1659C22⋊C4—221no—
1660C22⋊C4—221no—
1661C22⋊C4—221no—
1662C22⋊C4—221no—
1663C22⋊C4—221no—
1664C22⋊C4—221no—
1665C22⋊C4—221no—
1666C22⋊C4—221no—
1667C22⋊C4—221no—
1668C22⋊C4—221no—
1669C22⋊C4—221no—
1670C22⋊C4—221no—
1671C22⋊C4—221no—
1672C22⋊C4—221no—
1673C22⋊C4—221no—
1674C22⋊C4—221no—
1675C22⋊C4D4×D1111yescharacteristic
1676C22⋊C4D4×D1111yescharacteristic
1677C42—21no—
1678C42—21no—
1679C42—111no—
1680C42—111no—
1681C42—111no—
1682C42—221no—
1683C42—221no—
1684C42—221no—
1685C42—221no—
1686C42—221no—
1687C42C23×D1111yescharacteristic
1688C11#6160611yescharacteristic, complemented, Sylow
1689C23—21no—
1690C23—21no—
1691C23—111no—
1692C23—111no—
1693C23—111no—
1694C23—221no—
1695C23—222no—
1696C23—221no—
1697C23—221no—
1698C23—441no—
1699C23—441no—
1700C23—441no—
1701C23—441no—
1702C23—441no—
1703C23—442no—
1704C23—442no—
1705C23—442no—
1706C23—442no—
1707C23—442no—
1708C23—881no—
1709C23—881no—
1710C23—881no—
1711C23—881no—
1712C23C2×D4×D1111yescharacteristic
1713C23C2×D4×D1111yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—42no—
1718Q8—221no—
1719Q8—221no—
1720Q8—221no—
1721Q8—221no—
1722Q8—221no—
1723Q8—221no—
1724Q8—442no—
1725Q8—881no—
1726Q8#6704212yes—
1727D4—22no—
1728D4—21no—
1729D4—21no—
1730D4—21no—
1731D4—21no—
1732D4—42no—
1733D4—42no—
1734D4—42no—
1735D4—81no—
1736D4—112no—
1737D4—224no—
1738D4—222no—
1739D4—221no—
1740D4—221no—
1741D4—221no—
1742D4—221no—
1743D4—221no—
1744D4—441no—
1745D4—442no—
1746D4—442no—
1747D4—442no—
1748D4—442no—
1749D4—442no—
1750D4—442no—
1751D4—441no—
1752D4—442no—
1753D4—442no—
1754D4—442no—
1755D4—442no—
1756D4—442no—
1757D4—442no—
1758D4—881no—
1759D4—881no—
1760D4—881no—
1761D4—881no—
1762D4—881no—
1763D4—881no—
1764D4—881no—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—42no—
1776C2×C4—42no—
1777C2×C4—81no—
1778C2×C4—81no—
1779C2×C4—111no—
1780C2×C4—111no—
1781C2×C4—111no—
1782C2×C4—111no—
1783C2×C4—111no—
1784C2×C4—224no—
1785C2×C4—221no—
1786C2×C4—221no—
1787C2×C4—221no—
1788C2×C4—221no—
1789C2×C4—221no—
1790C2×C4—221no—
1791C2×C4—221no—
1792C2×C4—221no—
1793C2×C4—221no—
1794C2×C4—221no—
1795C2×C4—221no—
1796C2×C4—441no—
1797C2×C4—441no—
1798C2×C4—441no—
1799C2×C4—441no—
1800C2×C4—441no—
1801C2×C4—441no—
1802C2×C4—442no—
1803C2×C4—442no—
1804C2×C4—442no—
1805C2×C4—442no—
1806C2×C4—442no—
1807C2×C4—442no—
1808C2×C4—442no—
1809C2×C4—441no—
1810C2×C4—441no—
1811C2×C4—442no—
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—41no—
1836C22—41no—
1837C22—41no—
1838C22—41no—
1839C22—41no—
1840C22—41no—
1841C22—221no—
1842C22—222no—
1843C22—221no—
1844C22—221no—
1845C22—221no—
1846C22—221no—
1847C22—221no—
1848C22—221no—
1849C22—221no—
1850C22—221no—
1851C22—441no—
1852C22—441no—
1853C22—441no—
1854C22—441no—
1855C22—441no—
1856C22—441no—
1857C22—441no—
1858C22—441no—
1859C22—882no—
1860C22—884no—
1861C22—882no—
1862C22—884no—
1863C22—1762no—
1864C22#1062329912yes—
1865C22C22×D4×D1111yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—22no—
1869C4—21no—
1870C4—21no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—221no—
1877C4—221no—
1878C4—221no—
1879C4—221no—
1880C4—221no—
1881C4—441no—
1882C4—441no—
1883C4—441no—
1884C4—441no—
1885C4—441no—
1886C4C2×#6704211yescharacteristic
1887C4D11×H(5,𝔽2)11yescharacteristic
1888C2—22no—
1889C2—41no—
1890C2—81no—
1891C2—81no—
1892C2—441no—
1893C2—441no—
1894C2—441no—
1895C2—442no—
1896C2—881no—
1897C2—881no—
1898C2#1308224611yescharacteristic
1899C2C2×#1062329911yescharacteristic
1900C2#1308338811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3301C2
socleC22×C11C23×D4
hypercenter#3301D11
hypocenterC11#61606
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3301

Complements

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

NH ≅ G/Ntype
1. #13082445C2semidirect
2. #13082105C2semidirect
3. #13080881C2semidirect
4. #13080831C2semidirect
5. #13080783C2semidirect
6. #13080755C2semidirect
7. #13080738C2semidirect
8. #13080710C2semidirect
9. #13080460C2semidirect
10. #13080353C2semidirect
11. #13080328C2semidirect
12. #13080249C2semidirect
13. #13080222C2semidirect
14. #13080179C2semidirect
15. #13080149C2semidirect
16. #13080138C2semidirect
17. #13080108C2semidirect
18. #13079652C2semidirect
19. #13079593C2semidirect
20. #13079460C2semidirect
21. #13079445C2semidirect
22. #13079405C2semidirect
23. #13079376C2semidirect
24. #13078732C2semidirect
25. #13078632C2semidirect
26. #13077867C2semidirect
27. #13077854C2semidirect
28. #13077836C2semidirect
29. C2×#10622423C2semidirect
30. #13077649C2semidirect
31. C11×#3301C2semidirect
32. C2×#41×D11C22semidirect
34. C11×#553C22semidirect
35. C11×#548C22semidirect
37. C2×#67003C22semidirect
38. Q8×C22⋊D11C22semidirect
39. C22×#4326C22semidirect
40. C2×#66968C22semidirect
41. C2×#66967C22semidirect
42. C2×#66967C22semidirect
43. C2×#66964C22semidirect
44. C2×#66957C22semidirect
45. C22×#4314C22semidirect
48. #10623225C22semidirect
49. #10623222C22semidirect
53. #10623199C22semidirect
59. #10623158C22semidirect
61. #10623143C22semidirect
63. #10623140C22semidirect
66. #10623137C22semidirect
68. D11×#121C22semidirect
71. C4×#4343C22semidirect
73. #10623088C22semidirect
74. #10623085C22semidirect
75. #10623083C22semidirect
77. #10623081C22semidirect
81. #10623060C22semidirect
82. #10623055C22semidirect
84. C2×#66950C22semidirect
85. C11×#488C22semidirect
86. C11×#485C22semidirect
87. C11×#481C22semidirect
88. C11×#479C22semidirect
89. C11×#466C22semidirect
90. C11×#465C22semidirect
91. C11×#463C22semidirect
92. C11×#449C22semidirect
93. C11×#448C22semidirect
94. C4×C11×SD16C22semidirect
95. C8×D4×C11C22semidirect
96. C11×#416C22semidirect
97. C2×C11×#103C22semidirect
98. #10622852C22semidirect
99. #10622840C22semidirect
100. #10622786C22semidirect
102. #10622785C22semidirect
103. #10622780C22semidirect
104. #10622779C22semidirect
105. #10622771C22semidirect
106. #10622769C22semidirect
107. #10622767C22semidirect
108. #10622727C22semidirect
109. #10622727C22semidirect
110. #10622724C22semidirect
111. #10622724C22semidirect
112. C2×(C2×D11)⋊C8C22semidirect
113. C2×(C2×D11)⋊C8C22semidirect
114. #10622681C22semidirect
115. #10622679C22semidirect
116. #10622672C22semidirect
117. #10622667C22semidirect
118. #10622664C22semidirect
119. #10622660C22semidirect
120. #10622654C22semidirect
121. #10622653C22semidirect
122. #10622651C22semidirect
123. #10622651C22semidirect
124. #10622650C22semidirect
125. #10622649C22semidirect
126. C4×#4326C22semidirect
127. #10622641C22semidirect
128. #10622629C22semidirect
129. C4×#4323C22semidirect
130. D4×C11⋊C8C22semidirect
131. #10622616C22semidirect
132. #10622615C22semidirect
133. #10622583C22semidirect
134. C2×#66873C22semidirect
135. #10622502C22semidirect
136. #10622499C22semidirect
137. #10622498C22semidirect
138. #10622497C22semidirect
139. #10622484C22semidirect
140. #10622482C22semidirect
141. #10622481C22semidirect
142. #10622481C22semidirect
143. #10622480C22semidirect
144. #10622480C22semidirect
145. #10622479C22semidirect
146. #10622478C22semidirect
147. #10622458C22semidirect
148. #10622457C22semidirect
149. #10622451C22semidirect
150. #10622448C22semidirect
151. #10622431C22semidirect
152. #10622430C22semidirect
153. #10622429C22semidirect
154. #10622428C22semidirect
155. #10622425C22semidirect
157. #10622424C22semidirect
158. #10622423C22semidirect
159. #10622423C22semidirect
160. #10622423C22semidirect
161. #10622423C22semidirect
162. #10622423C22semidirect
163. #10622423C22semidirect
164. #10622423C22semidirect
165. #10622423C22semidirect
166. #10622421C22semidirect
167. #10622419C22semidirect
168. #10622416C22semidirect
169. #10622416C22semidirect
170. #10622415C22semidirect
171. #10622412C22semidirect
172. #10622410C22semidirect
173. #10622406C22semidirect
174. #10622402C22semidirect
175. #10622400C22semidirect
176. #10622399C22semidirect
177. #10622396C22semidirect
178. #10622396C22semidirect
179. #10622394C22semidirect
180. #10622394C22semidirect
181. #10622393C22semidirect
182. #10622393C22semidirect
183. #10622392C22semidirect
184. #10622390C22semidirect
185. #10622389C22semidirect
186. #10622389C22semidirect
187. #10622386C22semidirect
188. #10622383C22semidirect
189. #10622377C22semidirect
190. #10622375C22semidirect
191. #10622352C22semidirect
192. #10622347C22semidirect
193. #10622346C22semidirect
194. #10622345C22semidirect
195. #10622343C22semidirect
196. #10622343C22semidirect
197. #10622339C22semidirect
198. #10622339C22semidirect
199. #10622309C22semidirect
200. C4×#4314C22semidirect
201. #10622301C22semidirect
202. #10622298C22semidirect
747. #3301D11semidirect
924. #553C2×D11semidirect
934. #548C2×D11semidirect
971. #488C2×D11semidirect
975. #485C2×D11semidirect
983. #481C2×D11semidirect
985. #479C2×D11semidirect
999. #466C2×D11semidirect
1003. #465C2×D11semidirect
1011. #463C2×D11semidirect
1043. #449C2×D11semidirect
1047. #448C2×D11semidirect
1058. C4×SD16C2×D11semidirect
1067. C8×D4C2×D11semidirect
1075. #416C2×D11semidirect
1076. C2×#103C2×D11semidirect
1688. C11#61606semidirect

Maximal subgroups

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

subgroupindex
#130824452
#130821052
#130808812
#130808312
#130807832
#130807552
#130807382
#130807102
#130804602
#130803532
#130803282
#130802492
#130802222
#130801792
#130801492
#130801382
#130801082
#130796522
#130795932
#130794602
#130794452
#130794052
#130793762
#130787322
#130786322
#130778672
#130778542
#130778362
C2×#106224232
#130776492
C11×#33012
#6160611