Finite Group Databasebeta

← #15631846

Subgroups — #15631846

Order 2816.

2150 conjugacy classes of subgroups.

The subgroup lattice has 1874 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082475C211yesmaximal, characteristic, complemented
2#13082393C211yesmaximal, characteristic
3#13080950C211yesmaximal, characteristic, complemented
4#13080947C211yesmaximal, characteristic, complemented
5#13080845C211yesmaximal, characteristic, complemented
6#13080842C211yesmaximal, characteristic, complemented
7#13080747C211yesmaximal, characteristic, complemented
8#13080742C211yesmaximal, characteristic, complemented
9#13080739C211yesmaximal, characteristic, complemented
10#13080644C211yesmaximal, characteristic, complemented
11#13080639C211yesmaximal, characteristic, complemented
12#13080636C211yesmaximal, characteristic, complemented
13#13080631C211yesmaximal, characteristic, complemented
14#13080551C211yesmaximal, characteristic, complemented
15#13080548C211yesmaximal, characteristic, complemented
16#13080438C211yesmaximal, characteristic, complemented
17#13080435C211yesmaximal, characteristic, complemented
18#13078989C211yesmaximal, characteristic, complemented
19#13078573C211yesmaximal, characteristic, complemented
20#13078571C211yesmaximal, characteristic, complemented
21#13078403C211yesmaximal, characteristic, complemented
22#13078253C211yesmaximal, characteristic, complemented
23#13078250C211yesmaximal, characteristic, complemented
24D11×#460C211yesmaximal, characteristic, complemented
25#13077890C211yesmaximal, characteristic, complemented
26#13077890C211yesmaximal, characteristic, complemented
27#13077432C211yesmaximal, characteristic, complemented
28#13077357C211yesmaximal, characteristic, complemented
29#13077140C211yesmaximal, characteristic, complemented
30#13077138C211yesmaximal, characteristic, complemented
31C11×#3317C211yesmaximal, characteristic, complemented
32C2×#67042C2211yescharacteristic
33C2×#67042C2211yescharacteristic
34C11×#552C2211yescharacteristic, complemented
35C11×#550C2211yescharacteristic
36#10623365C2211yescharacteristic
37#10623365C2211yescharacteristic
38C2×#66971C2211yescharacteristic
39C2×SD16×D11C2211yescharacteristic, complemented
40C2×SD16×D11C2211yescharacteristic, complemented
41C2×#66960C2211yescharacteristic, complemented
42C2×#66954C2211yescharacteristic, complemented
43#10623248—21no—
44#10623248C2211yescharacteristic
45D11×#127—21no—
46D11×#127C2211yescharacteristic
47#10623237—21no—
48#10623233—21no—
49#10623225C2211yescharacteristic, complemented
50#10623223—21no—
51#10623219C2211yescharacteristic, complemented
52#10623216—21no—
53#10623195—21no—
54#10623191—21no—
55#10623172C2211yescharacteristic, complemented
56#10623166C2211yescharacteristic, complemented
57#10623159C2211yescharacteristic, complemented
58#10623159C2211yescharacteristic, complemented
59#10623140—21no—
60#10623140—21no—
61#10623140C2211yescharacteristic
62#10623140C2211yescharacteristic
63#10623138—21no—
64#10623138—21no—
65#10623138C2211yescharacteristic
66#10623138C2211yescharacteristic
67#10623112C2211yescharacteristic, complemented
68#10623108C2211yescharacteristic
69C4×#4343C2211yescharacteristic
70C4×Q8×D11C2211yescharacteristic, complemented
71D4×D44—21no—
72D4×D44C2211yescharacteristic
73#10623079—21no—
74#10623079C2211yescharacteristic
75#10623072C2211yescharacteristic, complemented
76#10623064—21no—
77#10623064C2211yescharacteristic, complemented
78#10623059—21no—
79#10623054C2211yescharacteristic, complemented
80#10623042C2211yescharacteristic, complemented
81#10623035C2211yescharacteristic, complemented
82C11×#490C2211yescharacteristic, complemented
83C11×#482C2211yescharacteristic, complemented
84C11×#481C2211yescharacteristic, complemented
85C11×#479C2211yescharacteristic, complemented
86C11×#468C2211yescharacteristic, complemented
87C11×#465C2211yescharacteristic, complemented
88C11×#460C2211yescharacteristic, complemented
89C11×#452C2211yescharacteristic, complemented
90C11×#452C2211yescharacteristic, complemented
91C11×#441C2211yescharacteristic, complemented
92C11×#435C2211yescharacteristic, complemented
93C11×#417C2211yescharacteristic, complemented
94C11×#416C2211yescharacteristic, complemented
95#10622852C2211yescharacteristic, complemented
96#10622852C2211yescharacteristic, complemented
97#10622846C2211yescharacteristic, complemented
98#10622845C2211yescharacteristic, complemented
99#10622800C2211yescharacteristic, complemented
100#10622800C2211yescharacteristic, complemented
101Q16×Dic11C2211yescharacteristic, complemented
102#10622787C2211yescharacteristic, complemented
103#10622784C2211yescharacteristic, complemented
104#10622782C2211yescharacteristic, complemented
105#10622782C2211yescharacteristic, complemented
106#10622776C2211yescharacteristic, complemented
107#10622776C2211yescharacteristic, complemented
108#10622747C2211yescharacteristic, complemented
109#10622744C2211yescharacteristic, complemented
110#10622741C2211yescharacteristic, complemented
111#10622727C2211yescharacteristic, complemented
112C2×#66885C2211yescharacteristic, complemented
113C8×C22⋊D11C2211yescharacteristic, complemented
114#10622688C2211yescharacteristic, complemented
115#10622684C2211yescharacteristic, complemented
116#10622680C2211yescharacteristic, complemented
117#10622679C2211yescharacteristic, complemented
118#10622662C2211yescharacteristic, complemented
119#10622661C2211yescharacteristic, complemented
120#10622659C2211yescharacteristic, complemented
121#10622659C2211yescharacteristic, complemented
122#10622655C2211yescharacteristic, complemented
123#10622654C2211yescharacteristic, complemented
124#10622648C2211yescharacteristic, complemented
125#10622647C2211yescharacteristic, complemented
126#10622643C2211yescharacteristic, complemented
127#10622640C2211yescharacteristic, complemented
128#10622639C2211yescharacteristic, complemented
129#10622635C2211yescharacteristic, complemented
130#10622624C2211yescharacteristic, complemented
131#10622616C2211yescharacteristic, complemented
132#10622614C2211yescharacteristic, complemented
133#10622580C2211yescharacteristic, complemented
134C2×#66873C2211yescharacteristic, complemented
135#10622503C2211yescharacteristic, complemented
136#10622499C2211yescharacteristic, complemented
137#10622498C2211yescharacteristic, complemented
138#10622493C2211yescharacteristic, complemented
139#10622483C2211yescharacteristic, complemented
140#10622479C2211yescharacteristic, complemented
141#10622477C2211yescharacteristic, complemented
142#10622476C2211yescharacteristic, complemented
143#10622476C2211yescharacteristic, complemented
144#10622474C2211yescharacteristic, complemented
145#10622473C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622461C2211yescharacteristic, complemented
148#10622460C2211yescharacteristic, complemented
149#10622449C2211yescharacteristic, complemented
150D11×C4⋊C8C2211yescharacteristic, complemented
151#10622425C2211yescharacteristic, complemented
152#10622423C2211yescharacteristic, complemented
153#10622423C2211yescharacteristic, complemented
154#10622420C2211yescharacteristic, complemented
155#10622417C2211yescharacteristic
156#10622417C2211yescharacteristic
157#10622417C2211yescharacteristic, complemented
158#10622417C2211yescharacteristic, complemented
159#10622416C2211yescharacteristic
160#10622416C2211yescharacteristic, complemented
161#10622416C2211yescharacteristic, complemented
162#10622415C2211yescharacteristic, complemented
163#10622407C2211yescharacteristic, complemented
164#10622404C2211yescharacteristic, complemented
165#10622403C2211yescharacteristic, complemented
166#10622401C2211yescharacteristic, complemented
167#10622397C2211yescharacteristic, complemented
168#10622393C2211yescharacteristic, complemented
169#10622392C2211yescharacteristic, complemented
170#10622391C2211yescharacteristic, complemented
171#10622389C2211yescharacteristic, complemented
172#10622389C2211yescharacteristic, complemented
173#10622387C2211yescharacteristic, complemented
174#10622387C2211yescharacteristic, complemented
175#10622383C2211yescharacteristic, complemented
176#10622383C2211yescharacteristic, complemented
177#10622383C2211yescharacteristic, complemented
178#10622383C2211yescharacteristic, complemented
179#10622383C2211yescharacteristic, complemented
180#10622383C2211yescharacteristic, complemented
181D11×#102C2211yescharacteristic, complemented
182D11×#102C2211yescharacteristic, complemented
183D11×#102C2211yescharacteristic, complemented
184D11×#102C2211yescharacteristic, complemented
185#10622375C2211yescharacteristic, complemented
186#10622375C2211yescharacteristic, complemented
187#10622373C2211yescharacteristic, complemented
188#10622373C2211yescharacteristic, complemented
189#10622373C2211yescharacteristic, complemented
190#10622373C2211yescharacteristic, complemented
191#10622350C2211yescharacteristic, complemented
192#10622349C2211yescharacteristic, complemented
193#10622344C2211yescharacteristic, complemented
194#10622344C2211yescharacteristic, complemented
195#10622342C2211yescharacteristic, complemented
196#10622340C2211yescharacteristic, complemented
197#10622340C2211yescharacteristic, complemented
198(C22⋊D11)⋊C8C2211yescharacteristic, complemented
199#10622326C2211yescharacteristic, complemented
200#10622323C2211yescharacteristic, complemented
201#10622320C2211yescharacteristic, complemented
202#10622319C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205#67042—24no—
206#67042—24no—
207#67042—42no—
208#67042—42no—
209C2×#4343C2311yescharacteristic
210C2×#4343C2311yescharacteristic
211C2×#4343C2311yescharacteristic
212C2×Q8×D11C2311yescharacteristic
213C2×D4×D11—21no—
214C2×D4×D11—21no—
215C2×D4×D11—21no—
216C2×D4×D11—21no—
217C2×D4×D11—21no—
218C2×D4×D11—21no—
219C2×D4×D11—21no—
220C2×D4×D11—21no—
221C2×D4×D11—21no—
222C2×D4×D11—21no—
223C2×D4×D11C2311yescharacteristic
224C2×D4×D11C2311yescharacteristic
225C2×D4×D11C2311yescharacteristic
226C2×D4×D11C2311yescharacteristic
227C2×#4339—21no—
228C2×#4339—21no—
229C2×#4339C2311yescharacteristic
230C2×#4339C2311yescharacteristic
231C22×D44—21no—
232C22×D44—21no—
233C22×D44C2311yescharacteristic
234C22×D44C2311yescharacteristic
235C2×C11×Q16C2311yescharacteristic
236C2×C11×SD16C2311yescharacteristic
237C2×C11×SD16C2311yescharacteristic
238C2×C11×M16C2311yescharacteristic
239C22×C8×C11C2311yescharacteristic
240C11×#127—21no—
241C11×#127C2311yescharacteristic
242C11×#126—21no—
243C11×#125—21no—
244C11×#125C2311yescharacteristic
245C11×#123—21no—
246C11×C22⋊Q8C2311yescharacteristic
247C11×C22⋊Q8C2311yescharacteristic
248C11×#121—21no—
249C11×#121—21no—
250C11×#121C2311yescharacteristic
251C11×#121C2311yescharacteristic
252C4×Q8×C11C2311yescharacteristic
253C4×Q8×C11C2311yescharacteristic
254C4×D4×C11—21no—
255C4×D4×C11C2311yescharacteristic
256C11×#117—21no—
257C11×#117C2311yescharacteristic
258C2×C11×C4⋊C4C2311yescharacteristic
259#66999C2311yescharacteristic
260#66999C2311yescharacteristic
261Q8×Dic11C2311yescharacteristic
262Q8×Dic11C2311yescharacteristic
263C2×#4326C2311yescharacteristic
264C2×#4325C2311yescharacteristic
265C2×#4325C2311yescharacteristic
266C2×#4325C2311yescharacteristic
267#66993—21no—
268#66993—21no—
269#66993—21no—
270#66993—21no—
271#66993—21no—
272#66993—21no—
273#66993D411yescharacteristic
274#66993C2311yescharacteristic
275#66993C2311yescharacteristic
276#66991—21no—
277#66991—21no—
278#66991—21no—
279#66991D411yescharacteristic
280#66991C2311yescharacteristic
281#66991C2311yescharacteristic
282#66990—21no—
283#66990—21no—
284#66990—21no—
285#66990—21no—
286#66990—21no—
287#66990—21no—
288#66988—21no—
289C2×#4324C2311yescharacteristic
290C2×#4324C2311yescharacteristic
291#66983—21no—
292#66983—21no—
293#66983C2311yescharacteristic
294#66983C2311yescharacteristic
295C4×C22⋊D11—21no—
296C4×C22⋊D11—21no—
297C4×C22⋊D11—21no—
298C4×C22⋊D11—21no—
299C4×C22⋊D11—21no—
300C4×C22⋊D11C2311yescharacteristic
301C4×C22⋊D11C2311yescharacteristic
302#66979C2311yescharacteristic
303C2×C4⋊Dic11C2311yescharacteristic
304#66977—21no—
305#66977C2311yescharacteristic
306#66977C2311yescharacteristic
307C2×#4318C2311yescharacteristic
308C22×C11⋊C8C2311yescharacteristic
309#66971—24no—
310SD16×D11—42no—
311SD16×D11—42no—
312#66960—42no—
313C2×#4314C2311yescharacteristic
314C2×#4314C2311yescharacteristic
315C2×#4314C2311yescharacteristic
316#66954—42no—
317C2×#4313C2311yescharacteristic
318C2×#4313C2311yescharacteristic
319C2×#4313C2311yescharacteristic
320C2×#4313C2311yescharacteristic
321C2×C8×D11C2311yescharacteristic
322C2×C8×D11C2311yescharacteristic
323C2×C8×D11C2311yescharacteristic
324C2×C8×D11C2311yescharacteristic
325#66951—21no—
326#66951—21no—
327#66950—21no—
328#66950C2311yescharacteristic
329#66950C2311yescharacteristic
330#66949—21no—
331#66949—21no—
332#66949—21no—
333#66948—21no—
334#66948—21no—
335#66948—21no—
336#66948D411yescharacteristic
337#66948C2311yescharacteristic
338#66948C2311yescharacteristic
339#66947—21no—
340#66947—21no—
341#66947—21no—
342#66947—21no—
343#66946—21no—
344#66946—21no—
345#66946C2311yescharacteristic
346#66945—21no—
347#66945—21no—
348#66945C2311yescharacteristic
349#66945C2311yescharacteristic
350#66945C2311yescharacteristic
351#66945C2311yescharacteristic
352#66945C2311yescharacteristic
353C4⋊C4×D11—21no—
354C4⋊C4×D11C2311yescharacteristic
355C4⋊C4×D11C2311yescharacteristic
356C4⋊C4×D11C2311yescharacteristic
357#66943—21no—
358#66942—21no—
359#66942—21no—
360#66942—21no—
361#66942—21no—
362#66941—21no—
363#66941—21no—
364#66941D411yescharacteristic
365#66941C2311yescharacteristic
366#66941C2311yescharacteristic
367#66940—21no—
368#66940—21no—
369#66940—21no—
370#66940—21no—
371#66940—21no—
372#66940C2311yescharacteristic
373#66938—21no—
374#66938—21no—
375#66938—21no—
376#66938—21no—
377#66938—21no—
378#66938—21no—
379#66938D411yescharacteristic
380#66938D411yescharacteristic
381#66937—21no—
382#66937—21no—
383#66937D411yescharacteristic
384#66937D411yescharacteristic
385#66936—21no—
386#66936—21no—
387#66935—21no—
388#66935—21no—
389#66935—21no—
390#66935—21no—
391#66935—21no—
392#66935—21no—
393(C22⋊D11)⋊C4—21no—
394(C22⋊D11)⋊C4—21no—
395(C22⋊D11)⋊C4—21no—
396#66932—21no—
397#66932—21no—
398#66932—21no—
399#66931—21no—
400#66930—21no—
401#66929—21no—
402#66929—21no—
403#66927—21no—
404#66927C2311yescharacteristic
405C4×D44—21no—
406C4×D44—21no—
407C4×D44—21no—
408C4×D44C2311yescharacteristic
409C4×D44C2311yescharacteristic
410#66925—21no—
411C42×D11—21no—
412C42×D11—21no—
413C42×D11C2311yescharacteristic
414#66923C2311yescharacteristic
415C4×Dic22—21no—
416C4×Dic22—21no—
417C4×Dic22—21no—
418C4×Dic22C2311yescharacteristic
419C11×#107C2311yescharacteristic
420C11×#106C2311yescharacteristic
421C11×#106C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×#103C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×#103C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#102C2311yescharacteristic
428C11×#102C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×C22⋊C8C2311yescharacteristic
434C11×C22⋊C8C2311yescharacteristic
435C11×#97C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66899C2311yescharacteristic
439#66899C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446C22⋊(C11⋊C8)C2311yescharacteristic
447C22⋊(C11⋊C8)C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451#66885C2311yescharacteristic
452#66885C2311yescharacteristic
453#66885C2311yescharacteristic
454#66885C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461#66882C2311yescharacteristic
462#66882C2311yescharacteristic
463#66881C2311yescharacteristic
464#66880C2311yescharacteristic
465Dic11⋊C8C2311yescharacteristic
466Dic11⋊C8C2311yescharacteristic
467C8×Dic11C2311yescharacteristic
468C8×Dic11C2311yescharacteristic
469#66874C2311yescharacteristic
470#66873C2311yescharacteristic
471#66873C2311yescharacteristic
472#66873C2311yescharacteristic
473#66873C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66872C2311yescharacteristic
480#66872C2311yescharacteristic
481#66872C2311yescharacteristic
482#66871C2311yescharacteristic
483#66871C2311yescharacteristic
484#66871C2311yescharacteristic
485C4⋊(C11⋊C8)C2311yescharacteristic
486#66867C2311yescharacteristic
487#61206—111nomaximal, Sylow
488C23×D11—21no—
489C23×D11—21no—
490C23×D11—21no—
491C23×D11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C11×#41—22no—
495C11×#41—22no—
496C11×#41—41no—
497C11×#41—41no—
498C2×Q8×C11C2411yescharacteristic
499C2×Q8×C11C2411yescharacteristic
500C2×D4×C11—21no—
501C2×D4×C11—21no—
502C2×D4×C11—21no—
503C2×D4×C11—21no—
504C2×D4×C11—21no—
505C2×D4×C11—21no—
506C2×D4×C11C2×D411yescharacteristic
507C2×D4×C11C2411yescharacteristic
508C2×D4×C11C2411yescharacteristic
509C22×C4×C11—21no—
510C22×C4×C11—21no—
511C22×C4×C11—21no—
512C22×C4×C11C2411yescharacteristic
513C22×C4×C11C2411yescharacteristic
514C2×C22⋊D11—21no—
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⋊D11—21no—
526C2×C22⋊D11C2×D411yescharacteristic
527C2×C22⋊D11C2×D411yescharacteristic
528C2×C22⋊D11C2×D411yescharacteristic
529C2×C22⋊D11C2×D411yescharacteristic
530C2×C22⋊D11C2×D411yescharacteristic
531C2×C22⋊D11C2×D411yescharacteristic
532C22×Dic11—21no—
533#4343—22no—
534#4343—22no—
535#4343—22no—
536#4343—41no—
537#4343—41no—
538#4343#4114yes—
539Q8×D11—22no—
540Q8×D11—22no—
541D4×D11—22no—
542D4×D11—22no—
543D4×D11—22no—
544D4×D11—22no—
545D4×D11—22no—
546D4×D11—22no—
547D4×D11—41no—
548D4×D11—41no—
549D4×D11—44no—
550D4×D11—44no—
551D4×D11—44no—
552D4×D11—44no—
553D4×D11—82no—
554D4×D11—82no—
555D4×D11—82no—
556D4×D11—82no—
557D4×D11—82no—
558D4×D11—82no—
559#4339—22no—
560#4339—22no—
561#4339—22no—
562#4339—22no—
563#4339—44no—
564#4339—44no—
565C2×D44—21no—
566C2×D44—21no—
567C2×D44—21no—
568C2×D44—21no—
569C2×D44—21no—
570C2×D44—22no—
571C2×D44—22no—
572C2×D44—21no—
573C2×D44—21no—
574C2×D44—21no—
575C2×D44—21no—
576C2×D44—41no—
577C2×D44—41no—
578C2×D44—44no—
579C2×D44—44no—
580C2×D44C2×D411yescharacteristic
581C2×D44C2×D411yescharacteristic
582C2×D44C2×D411yescharacteristic
583C2×D44C2411yescharacteristic
584C2×D44C2411yescharacteristic
585C2×D44C2411yescharacteristic
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—21no—
589C2×C4×D11—21no—
590C2×C4×D11—21no—
591C2×C4×D11—21no—
592C2×C4×D11—21no—
593C2×C4×D11—21no—
594C2×C4×D11—21no—
595C2×C4×D11C2×D411yescharacteristic
596C2×C4×D11C2×D411yescharacteristic
597C2×C4×D11C2411yescharacteristic
598C2×C4×D11C2411yescharacteristic
599C2×C4×D11C2411yescharacteristic
600C2×Dic22—21no—
601C2×Dic22—21no—
602C2×Dic22—21no—
603C2×Dic22C2×D411yescharacteristic
604C2×Dic22C2×D411yescharacteristic
605C2×Dic22C2411yescharacteristic
606C11×Q16—22no—
607C11×SD16—41no—
608C11×SD16—41no—
609C11×M16—41no—
610C2×C8×C11—41no—
611C2×C8×C11C2411yescharacteristic
612C2×C8×C11C2411yescharacteristic
613C2×C8×C11C2411yescharacteristic
614C2×C8×C11C2411yescharacteristic
615C11×C4⋊C4—21no—
616C11×C4⋊C4—21no—
617C11×C4⋊C4—21no—
618C11×C4⋊C4—21no—
619C11×C4⋊C4—21no—
620C11×C4⋊C4—21no—
621C11×C4⋊C4—21no—
622C11×C4⋊C4C2×D411yescharacteristic
623C11×C4⋊C4C2411yescharacteristic
624C11×C4⋊C4C2411yescharacteristic
625C11×C4⋊C4C2411yescharacteristic
626C11×C4⋊C4C2411yescharacteristic
627C11×C22⋊C4—21no—
628C11×C22⋊C4—21no—
629C11×C22⋊C4—21no—
630C11×C22⋊C4—21no—
631C11×C22⋊C4—21no—
632C11×C22⋊C4C2×D411yescharacteristic
633C11×C22⋊C4C2×D411yescharacteristic
634C42×C11—21no—
635C42×C11—21no—
636C42×C11—21no—
637C42×C11C2411yescharacteristic
638C22⋊Dic11—21no—
639C22⋊Dic11—21no—
640C22⋊Dic11—21no—
641C22⋊Dic11—21no—
642C22⋊Dic11—21no—
643C22⋊Dic11C2×D411yescharacteristic
644C22⋊Dic11C2×D411yescharacteristic
645#4326—22no—
646#4325—22no—
647#4325—41no—
648#4325—41no—
649#4324—41no—
650#4324—41no—
651(C2×D11)⋊C4—21no—
652(C2×D11)⋊C4—21no—
653(C2×D11)⋊C4—21no—
654(C2×D11)⋊C4—21no—
655(C2×D11)⋊C4—21no—
656(C2×D11)⋊C4—21no—
657(C2×D11)⋊C4—21no—
658(C2×D11)⋊C4—21no—
659(C2×D11)⋊C4—21no—
660(C2×D11)⋊C4—21no—
661(C2×D11)⋊C4—21no—
662(C2×D11)⋊C4—21no—
663(C2×D11)⋊C4—21no—
664(C2×D11)⋊C4—21no—
665(C2×D11)⋊C4—21no—
666(C2×D11)⋊C4C2×D411yescharacteristic
667(C2×D11)⋊C4C2×D411yescharacteristic
668(C2×D11)⋊C4C2×D411yescharacteristic
669(C2×D11)⋊C4C2×D411yescharacteristic
670C4⋊Dic11—21no—
671C4⋊Dic11—21no—
672C4⋊Dic11—21no—
673C4⋊Dic11—21no—
674C4⋊Dic11—21no—
675C4⋊Dic11C2×D411yescharacteristic
676C4⋊Dic11C2411yescharacteristic
677C4⋊Dic11C2411yescharacteristic
678C4⋊Dic11C2411yescharacteristic
679C4⋊Dic11C2411yescharacteristic
680Dic11⋊C4—21no—
681Dic11⋊C4—21no—
682Dic11⋊C4—21no—
683Dic11⋊C4—21no—
684Dic11⋊C4—21no—
685Dic11⋊C4—21no—
686Dic11⋊C4—21no—
687Dic11⋊C4—21no—
688Dic11⋊C4—21no—
689Dic11⋊C4—21no—
690Dic11⋊C4—21no—
691Dic11⋊C4—21no—
692Dic11⋊C4—21no—
693Dic11⋊C4C2×D411yescharacteristic
694Dic11⋊C4C2×D411yescharacteristic
695C4×Dic11—21no—
696C4×Dic11—21no—
697C4×Dic11—21no—
698C4×Dic11—21no—
699C4×Dic11—21no—
700C4×Dic11—21no—
701C4×Dic11—21no—
702C4×Dic11—21no—
703C4×Dic11—21no—
704C4×Dic11—21no—
705C4×Dic11C2×D411yescharacteristic
706C4×Dic11C2×D411yescharacteristic
707C4×Dic11C2411yescharacteristic
708#4318—41no—
709C2×C11⋊C8—41no—
710C2×C11⋊C8C2411yescharacteristic
711C2×C11⋊C8C2411yescharacteristic
712C2×C11⋊C8C2411yescharacteristic
713C2×C11⋊C8C2411yescharacteristic
714#4314—22no—
715#4314—41no—
716#4314—41no—
717#4313—22no—
718#4313—22no—
719#4313—41no—
720#4313—41no—
721C8×D11—22no—
722C8×D11—22no—
723C8×D11—41no—
724C8×D11—41no—
725#3507—111no—
726#3498—111no—
727#3333—111no—
728#3333—111no—
729#3324—111no—
730#3324—111no—
731#3317—111no—
732#3317—111no—
733#3317—111no—
734#3317D1111yescharacteristic, complemented
735#3310—111no—
736#3310—111no—
737#3310—111no—
738#3310—111no—
739#3304—111no—
740#3304—111no—
741#3295—111no—
742#3295—111no—
743#3138—111no—
744#3096—111no—
745#3096—111no—
746#3076—111no—
747#3057—111no—
748#3057—111no—
749C2×#460—111no—
750#3009—111no—
751#3009—111no—
752C4×#137—111no—
753#2935—111no—
754#2897—111no—
755#2897—111no—
756C23×C11—21no—
757C23×C11—21no—
758C23×C11C22×D411yescharacteristic
759C23×C11C22×D411yescharacteristic
760C22×D11—21no—
761C22×D11—21no—
762C22×D11—21no—
763C22×D11—42no—
764C22×D11—42no—
765C22×D11—42no—
766C22×D11—42no—
767C22×D11—42no—
768C22×D11—42no—
769C22×D11—81no—
770C22×D11—81no—
771C22×D11—81no—
772C22×D11—81no—
773C22×D11—81no—
774C22×D11—81no—
775C22×D11—81no—
776C22×D11—81no—
777C22×D11—81no—
778C22×D11—81no—
779C22×D11—81no—
780C22×D11—81no—
781C22×D11C22×D411yescharacteristic
782C22×D11C22×D411yescharacteristic
783C22×D11C22×D411yescharacteristic
784Q8×C11—21no—
785Q8×C11—21no—
786Q8×C11—21no—
787Q8×C11C2×#4112yes—
788D4×C11—21no—
789D4×C11—21no—
790D4×C11—21no—
791D4×C11—21no—
792D4×C11—41no—
793D4×C11—42no—
794D4×C11—42no—
795D4×C11—42no—
796D4×C11—81no—
797D4×C11—81no—
798D4×C11—81no—
799C2×C4×C11—21no—
800C2×C4×C11—21no—
801C2×C4×C11—21no—
802C2×C4×C11—21no—
803C2×C4×C11—21no—
804C2×C4×C11—21no—
805C2×C4×C11—21no—
806C2×C4×C11—21no—
807C2×C4×C11—21no—
808C2×C4×C11—21no—
809C2×C4×C11—42no—
810C2×C4×C11—42no—
811C2×C4×C11—81no—
812C2×C4×C11C22×D411yescharacteristic
813C2×C4×C11C22×D411yescharacteristic
814C2×C4×C11C22×D411yescharacteristic
815C2×C4×C11C22×D411yescharacteristic
816C2×C4×C11C2511yescharacteristic
817C22⋊D11—22no—
818C22⋊D11—22no—
819C22⋊D11—22no—
820C22⋊D11—22no—
821C22⋊D11—22no—
822C22⋊D11—22no—
823C22⋊D11—42no—
824C22⋊D11—42no—
825C22⋊D11—42no—
826C22⋊D11—42no—
827C22⋊D11—42no—
828C22⋊D11—42no—
829C22⋊D11—81no—
830C22⋊D11—81no—
831C22⋊D11—81no—
832C22⋊D11—81no—
833C22⋊D11—81no—
834C22⋊D11—81no—
835C2×Dic11—21no—
836C2×Dic11—21no—
837C2×Dic11—21no—
838C2×Dic11—21no—
839C2×Dic11—21no—
840C2×Dic11—81no—
841C2×Dic11C22×D411yescharacteristic
842C2×Dic11C22×D411yescharacteristic
843C2×Dic11C22×D411yescharacteristic
844C2×Dic11C22×D411yescharacteristic
845C2×Dic11C22×D411yescharacteristic
846D44—24no—
847D44—22no—
848D44—22no—
849D44—21no—
850D44—21no—
851D44—21no—
852D44—21no—
853D44—21no—
854D44—41no—
855D44—42no—
856D44—42no—
857D44—42no—
858D44—42no—
859D44—42no—
860D44—81no—
861D44—81no—
862D44—81no—
863D44C2×#4112yes—
864C4×D11—21no—
865C4×D11—21no—
866C4×D11—21no—
867C4×D11—21no—
868C4×D11—24no—
869C4×D11—22no—
870C4×D11—41no—
871C4×D11—42no—
872C4×D11—42no—
873C4×D11—42no—
874C4×D11—42no—
875C4×D11—42no—
876C4×D11—81no—
877C4×D11—81no—
878C4×D11—81no—
879C4×D11C2×#4112yes—
880C4×D11H(5,𝔽2)12yes—
881Dic22—22no—
882Dic22—22no—
883Dic22—21no—
884Dic22—21no—
885Dic22—42no—
886Dic22—42no—
887Dic22—81no—
888C8×C11—21no—
889C8×C11—21no—
890C8×C11—21no—
891C8×C11—21no—
892C11⋊C8—21no—
893C11⋊C8—21no—
894C11⋊C8—21no—
895C11⋊C8—21no—
896C2×H(5,𝔽2)—111no—
897C2×H(5,𝔽2)—111no—
898C2×#137—111no—
899C22×SD16—111no—
900C22×SD16—111no—
901C2×#131—111no—
902C2×#131—111no—
903#559—221no—
904#557—221no—
905#556—111no—
906#556—111no—
907#556—221no—
908#556—221no—
909#554—111no—
910#554—111no—
911#552—111no—
912#552—111no—
913#552—111no—
914#552C2×D1111yescharacteristic, complemented
915#550—111no—
916#550—111no—
917#550—111no—
918#550C2×D1111yescharacteristic
919D42—111no—
920D42—111no—
921D42—111no—
922D42—111no—
923D42—221no—
924D42—221no—
925D42—221no—
926D42—221no—
927#539—221no—
928#539—221no—
929#536—111no—
930#536—111no—
931#535—111no—
932#535—111no—
933#535—221no—
934#535—221no—
935#533—111no—
936#532—111no—
937#532—221no—
938C2×#127—111no—
939C2×#127—221no—
940#529—221no—
941#529—221no—
942#520—111no—
943#520—111no—
944C4×#41—111no—
945C2×C4×Q8—111no—
946#490—111no—
947#490—111no—
948#490—111no—
949#490C2×D1111yescharacteristic, complemented
950#486—111no—
951#486—111no—
952#486—111no—
953#486—111no—
954#482—111no—
955#482—111no—
956#482—111no—
957#482—111no—
958#482—111no—
959#482—111no—
960#482—111no—
961#482C2×D1111yescharacteristic, complemented
962#481—111no—
963#481—111no—
964#481—111no—
965#481C2×D1111yescharacteristic, complemented
966#480—111no—
967#480—111no—
968#480—111no—
969#480—111no—
970#479—111no—
971#479C2×D1111yescharacteristic, complemented
972#478—111no—
973#478—111no—
974#477—111no—
975#476—111no—
976#475—111no—
977#474—111no—
978#468—111no—
979#468—111no—
980#468—111no—
981#468—111no—
982#468—111no—
983#468—111no—
984#468—111no—
985#468C2×D1111yescharacteristic, complemented
986#465—111no—
987#465—111no—
988#465—111no—
989#465—111no—
990#465—111no—
991#465—111no—
992#465—111no—
993#465C2×D1111yescharacteristic, complemented
994#460—111no—
995#460—111no—
996#460—111no—
997#460—111no—
998#460—111no—
999#460—111no—
1000#460—111no—
1001#460C2×D1111yescharacteristic, complemented
1002#452—111no—
1003#452—111no—
1004#452—111no—
1005#452—111no—
1006#452—111no—
1007#452—111no—
1008#452C2×D1111yescharacteristic, complemented
1009#452C2×D1111yescharacteristic, complemented
1010#450—111no—
1011#450—111no—
1012#450—111no—
1013#450—111no—
1014#450—111no—
1015#450—111no—
1016#450—111no—
1017#450—111no—
1018#441—111no—
1019#441C2×D1111yescharacteristic, complemented
1020#440—111no—
1021#440—111no—
1022C4×Q16—111no—
1023C4×Q16—111no—
1024C4×SD16—111no—
1025C4×SD16—111no—
1026#436—111no—
1027#436—111no—
1028#435—111no—
1029#435—111no—
1030#435—111no—
1031#435C2×D1111yescharacteristic, complemented
1032C8×D4—111no—
1033C8×D4—111no—
1034#428—111no—
1035#427—111no—
1036#427—111no—
1037C2×C4⋊C8—111no—
1038#419—111no—
1039#418—111no—
1040#418—111no—
1041#418—111no—
1042#418—111no—
1043#418—111no—
1044#418—111no—
1045#418—111no—
1046#418—111no—
1047#417—111no—
1048#417—111no—
1049#417—111no—
1050#417—111no—
1051#417C2×D1111yescharacteristic, complemented
1052#416—111no—
1053#416—111no—
1054#416—111no—
1055#416—111no—
1056#416—111no—
1057#416C2×D1111yescharacteristic, complemented
1058C2×#102—111no—
1059C2×#102—111no—
1060C2×#102—111no—
1061C2×#102—111no—
1062C2×#102—111no—
1063C2×#102—111no—
1064#408—111no—
1065#408—111no—
1066C4×M16—111no—
1067C22×C11—21no—
1068C22×C11—21no—
1069C22×C11—21no—
1070C22×C11—21no—
1071C22×C11—21no—
1072C22×C11—21no—
1073C22×C11—41no—
1074C22×C11—41no—
1075C22×C11—41no—
1076C22×C11—41no—
1077C22×C11—41no—
1078C22×C11—41no—
1079C22×C11C23×D411yescharacteristic
1080C2×D11—21no—
1081C2×D11—21no—
1082C2×D11—21no—
1083C2×D11—21no—
1084C2×D11—22no—
1085C2×D11—21no—
1086C2×D11—21no—
1087C2×D11—21no—
1088C2×D11—21no—
1089C2×D11—41no—
1090C2×D11—41no—
1091C2×D11—41no—
1092C2×D11—41no—
1093C2×D11—41no—
1094C2×D11—41no—
1095C2×D11—41no—
1096C2×D11—41no—
1097C2×D11—162no—
1098C2×D11—162no—
1099C2×D11—162no—
1100C2×D11—162no—
1101C2×D11—162no—
1102C2×D11—162no—
1103C2×D11#54612yes—
1104C4×C11—21no—
1105C4×C11—21no—
1106C4×C11—21no—
1107C4×C11—22no—
1108C4×C11—21no—
1109C4×C11—41no—
1110C4×C11—41no—
1111C4×C11—41no—
1112C4×C11—41no—
1113C4×C11—41no—
1114C4×C11C22×#4111yescharacteristic
1115C4×C11C2×H(5,𝔽2)11yescharacteristic
1116Dic11—21no—
1117Dic11—21no—
1118Dic11—21no—
1119Dic11—41no—
1120Dic11—41no—
1121Dic11—41no—
1122Dic11—41no—
1123Dic11—41no—
1124Dic11#54612yes—
1125Dic11#57712yes—
1126H(5,𝔽2)—224no—
1127H(5,𝔽2)—224no—
1128H(5,𝔽2)—442no—
1129H(5,𝔽2)—442no—
1130C2×#41—111no—
1131C2×#41—111no—
1132C2×#41—111no—
1133C2×#41—111no—
1134C2×#41—111no—
1135C2×#41—221no—
1136C2×#41—221no—
1137C2×#41C22×D1111yescharacteristic
1138C2×#41C22×D1111yescharacteristic
1139C22×Q8—111no—
1140C22×D4—111no—
1141C22×D4—111no—
1142C22×D4—111no—
1143C22×D4—111no—
1144C22×D4—111no—
1145C22×D4—111no—
1146C22×D4—221no—
1147C22×D4—221no—
1148C22×D4—221no—
1149C22×D4—221no—
1150C22×D4—221no—
1151C22×D4—221no—
1152C22×D4—221no—
1153C22×D4—221no—
1154C22×D4—221no—
1155C22×D4—221no—
1156C22×D4—221no—
1157C22×D4—221no—
1158#137—224no—
1159C2×Q16—111no—
1160C2×Q16C22×D1111yescharacteristic
1161C2×SD16—111no—
1162C2×SD16—111no—
1163C2×SD16—111no—
1164C2×SD16—111no—
1165C2×SD16—111no—
1166C2×SD16—111no—
1167C2×SD16—111no—
1168C2×SD16—111no—
1169C2×SD16—442no—
1170C2×SD16—442no—
1171C2×SD16C22×D1111yescharacteristic
1172C2×SD16C22×D1111yescharacteristic
1173#131—442no—
1174#131—442no—
1175C2×M16—111no—
1176C2×M16—111no—
1177C2×M16—111no—
1178C2×M16—111no—
1179C2×M16—111no—
1180C2×M16C22×D1111yescharacteristic
1181C22×C8—111no—
1182C22×C8—111no—
1183C22×C8—111no—
1184C22×C8—111no—
1185C22×C8—111no—
1186C22×C8C22×D1111yescharacteristic
1187C4⋊Q8—111no—
1188C4⋊Q8—111no—
1189C4⋊Q8—111no—
1190C4⋊Q8—221no—
1191C4⋊Q8—221no—
1192#127—21no—
1193#127—111no—
1194#127—111no—
1195#127—111no—
1196#127—111no—
1197#127—221no—
1198#127—221no—
1199#127—221no—
1200#127—221no—
1201#127—221no—
1202#127—221no—
1203#127—221no—
1204#127C22×D1111yescharacteristic
1205#126—21no—
1206#126—221no—
1207#126—221no—
1208#126—221no—
1209#126—221no—
1210#126—221no—
1211#126—221no—
1212#126—221no—
1213#125—21no—
1214#125—111no—
1215#125—221no—
1216#125—221no—
1217#125—221no—
1218#125—221no—
1219#125—221no—
1220#125C22×D1111yescharacteristic
1221#124—111no—
1222#124—111no—
1223#124—221no—
1224#124—221no—
1225#124—221no—
1226#124—221no—
1227#124—221no—
1228#124—221no—
1229#123—21no—
1230#123—221no—
1231#123—221no—
1232#123—221no—
1233#123—221no—
1234#123—221no—
1235#123—221no—
1236#123—221no—
1237C22⋊Q8—111no—
1238C22⋊Q8—111no—
1239C22⋊Q8—111no—
1240C22⋊Q8—111no—
1241C22⋊Q8—111no—
1242C22⋊Q8—111no—
1243C22⋊Q8—221no—
1244C22⋊Q8—221no—
1245C22⋊Q8—221no—
1246C22⋊Q8—221no—
1247C22⋊Q8—221no—
1248C22⋊Q8—221no—
1249C22⋊Q8C22×D1111yescharacteristic
1250C22⋊Q8C22×D1111yescharacteristic
1251#121—21no—
1252#121—21no—
1253#121—111no—
1254#121—111no—
1255#121—111no—
1256#121—111no—
1257#121—111no—
1258#121—111no—
1259#121—111no—
1260#121—111no—
1261#121—111no—
1262#121—111no—
1263#121—221no—
1264#121—221no—
1265#121—221no—
1266#121—221no—
1267#121—221no—
1268#121—221no—
1269#121—221no—
1270#121—221no—
1271#121—221no—
1272#121—221no—
1273#121C22×D1111yescharacteristic
1274#121C22×D1111yescharacteristic
1275#120—221no—
1276#120—221no—
1277#120—221no—
1278#120—221no—
1279#120—221no—
1280#120—221no—
1281#120—221no—
1282#120—221no—
1283#120—221no—
1284#120—221no—
1285#120—221no—
1286#120—221no—
1287C4×Q8—111no—
1288C4×Q8—111no—
1289C4×Q8—111no—
1290C4×Q8—111no—
1291C4×Q8—221no—
1292C4×Q8—221no—
1293C4×Q8—221no—
1294C4×Q8—221no—
1295C4×Q8—221no—
1296C4×Q8—221no—
1297C4×Q8—221no—
1298C4×Q8—221no—
1299C4×Q8C22×D1111yescharacteristic
1300C4×Q8C22×D1111yescharacteristic
1301C4×D4—21no—
1302C4×D4—111no—
1303C4×D4—111no—
1304C4×D4—111no—
1305C4×D4—111no—
1306C4×D4—111no—
1307C4×D4—221no—
1308C4×D4—221no—
1309C4×D4—221no—
1310C4×D4—221no—
1311C4×D4—221no—
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×D4C22×D1111yescharacteristic
1321#117—21no—
1322#117—111no—
1323#117—111no—
1324#117—111no—
1325#117—111no—
1326#117—111no—
1327#117—111no—
1328#117—221no—
1329#117—221no—
1330#117—221no—
1331#117—221no—
1332#117C22×D1111yescharacteristic
1333C2×C4⋊C4—111no—
1334C2×C4⋊C4—111no—
1335C2×C4⋊C4—111no—
1336C2×C4⋊C4—111no—
1337C2×C4⋊C4—221no—
1338C2×C4⋊C4C22×D1111yescharacteristic
1339C2×C42—111no—
1340C2×C42—221no—
1341C2×C42—221no—
1342#107—111no—
1343#107—111no—
1344#107—111no—
1345#107—111no—
1346#107—111no—
1347#107C22×D1111yescharacteristic
1348#106—111no—
1349#106—111no—
1350#106—111no—
1351#106—111no—
1352#106C22×D1111yescharacteristic
1353#106C22×D1111yescharacteristic
1354C4⋊C8—111no—
1355C4⋊C8—111no—
1356C4⋊C8—111no—
1357C4⋊C8C22×D1111yescharacteristic
1358#103—111no—
1359#103—111no—
1360#103—111no—
1361#103—111no—
1362#103—111no—
1363#103—111no—
1364#103C22×D1111yescharacteristic
1365#103C22×D1111yescharacteristic
1366#103C22×D1111yescharacteristic
1367#103C22×D1111yescharacteristic
1368#102—111no—
1369#102—111no—
1370#102—111no—
1371#102—111no—
1372#102—111no—
1373#102—111no—
1374#102—111no—
1375#102—111no—
1376#102—111no—
1377#102—111no—
1378#102—111no—
1379#102—111no—
1380#102—111no—
1381#102—111no—
1382#102—111no—
1383#102—111no—
1384#102—111no—
1385#102—111no—
1386#102—111no—
1387#102—111no—
1388#102—111no—
1389#102—111no—
1390#102—111no—
1391#102—111no—
1392#102C22×D1111yescharacteristic
1393#102C22×D1111yescharacteristic
1394#102C22×D1111yescharacteristic
1395#102C22×D1111yescharacteristic
1396#102C22×D1111yescharacteristic
1397#102C22×D1111yescharacteristic
1398C22⋊C8—111no—
1399C22⋊C8—111no—
1400C22⋊C8—111no—
1401C22⋊C8—111no—
1402C22⋊C8—111no—
1403C22⋊C8—111no—
1404C22⋊C8C22×D1111yescharacteristic
1405C22⋊C8C22×D1111yescharacteristic
1406#97—111no—
1407#97C22×D1111yescharacteristic
1408C4×C8—111no—
1409C4×C8—111no—
1410C2×C11—41no—
1411C2×C11—41no—
1412C2×C11—81no—
1413C2×C11—81no—
1414C2×C11C2×#54611yescharacteristic
1415C2×C11C2×#57711yescharacteristic
1416C2×C11#358511yescharacteristic
1417D11—22no—
1418D11—41no—
1419D11—41no—
1420D11—42no—
1421D11—81no—
1422D11—81no—
1423C24—221no—
1424C24—221no—
1425C24—221no—
1426C24—221no—
1427C24—221no—
1428C24—221no—
1429#41—22no—
1430#41—22no—
1431#41—41no—
1432#41—41no—
1433#41—114no—
1434#41—222no—
1435#41—222no—
1436#41—222no—
1437#41—222no—
1438#41—222no—
1439#41—222no—
1440#41—222no—
1441#41—444no—
1442#41—444no—
1443#41—441no—
1444#41—441no—
1445C2×Q8—111no—
1446C2×Q8—111no—
1447C2×Q8—111no—
1448C2×Q8—221no—
1449C2×Q8—221no—
1450C2×Q8—221no—
1451C2×Q8—222no—
1452C2×Q8—222no—
1453C2×Q8C23×D1111yescharacteristic
1454C2×Q8C23×D1111yescharacteristic
1455C2×D4—21no—
1456C2×D4—21no—
1457C2×D4—21no—
1458C2×D4—21no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—111no—
1462C2×D4—111no—
1463C2×D4—111no—
1464C2×D4—111no—
1465C2×D4—111no—
1466C2×D4—111no—
1467C2×D4—111no—
1468C2×D4—111no—
1469C2×D4—111no—
1470C2×D4—111no—
1471C2×D4—111no—
1472C2×D4—111no—
1473C2×D4—222no—
1474C2×D4—222no—
1475C2×D4—221no—
1476C2×D4—221no—
1477C2×D4—221no—
1478C2×D4—221no—
1479C2×D4—221no—
1480C2×D4—222no—
1481C2×D4—222no—
1482C2×D4—222no—
1483C2×D4—222no—
1484C2×D4—221no—
1485C2×D4—221no—
1486C2×D4—221no—
1487C2×D4—221no—
1488C2×D4—221no—
1489C2×D4—221no—
1490C2×D4—221no—
1491C2×D4—221no—
1492C2×D4—222no—
1493C2×D4—222no—
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—441no—
1503C2×D4—441no—
1504C2×D4—444no—
1505C2×D4—444no—
1506C2×D4—441no—
1507C2×D4—441no—
1508C2×D4—444no—
1509C2×D4—444no—
1510C2×D4—444no—
1511C2×D4—444no—
1512C2×D4—882no—
1513C2×D4—882no—
1514C2×D4—882no—
1515C2×D4—882no—
1516C2×D4—882no—
1517C2×D4—882no—
1518C2×D4D4×D1111yescharacteristic
1519C2×D4C23×D1111yescharacteristic
1520C2×D4C23×D1111yescharacteristic
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—21no—
1524C22×C4—111no—
1525C22×C4—111no—
1526C22×C4—111no—
1527C22×C4—111no—
1528C22×C4—111no—
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×C4C23×D1111yescharacteristic
1540C22×C4C23×D1111yescharacteristic
1541Q16—22no—
1542Q16—222no—
1543SD16—41no—
1544SD16—41no—
1545SD16—222no—
1546SD16—222no—
1547SD16—441no—
1548SD16—441no—
1549SD16—441no—
1550SD16—441no—
1551SD16—441no—
1552SD16—441no—
1553M16—41no—
1554M16—222no—
1555M16—222no—
1556M16—441no—
1557M16—441no—
1558M16—441no—
1559C2×C8—41no—
1560C2×C8—111no—
1561C2×C8—111no—
1562C2×C8—111no—
1563C2×C8—111no—
1564C2×C8—222no—
1565C2×C8—222no—
1566C2×C8—441no—
1567C2×C8—441no—
1568C2×C8—441no—
1569C2×C8C23×D1111yescharacteristic
1570C2×C8C23×D1111yescharacteristic
1571C2×C8C23×D1111yescharacteristic
1572C2×C8C23×D1111yescharacteristic
1573C4⋊C4—21no—
1574C4⋊C4—21no—
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—111no—
1581C4⋊C4—111no—
1582C4⋊C4—111no—
1583C4⋊C4—111no—
1584C4⋊C4—111no—
1585C4⋊C4—111no—
1586C4⋊C4—111no—
1587C4⋊C4—221no—
1588C4⋊C4—221no—
1589C4⋊C4—221no—
1590C4⋊C4—221no—
1591C4⋊C4—221no—
1592C4⋊C4—221no—
1593C4⋊C4—221no—
1594C4⋊C4—221no—
1595C4⋊C4—221no—
1596C4⋊C4—221no—
1597C4⋊C4—221no—
1598C4⋊C4—221no—
1599C4⋊C4—221no—
1600C4⋊C4—221no—
1601C4⋊C4—221no—
1602C4⋊C4—221no—
1603C4⋊C4—221no—
1604C4⋊C4—221no—
1605C4⋊C4D4×D1111yescharacteristic
1606C4⋊C4C23×D1111yescharacteristic
1607C4⋊C4C23×D1111yescharacteristic
1608C4⋊C4C23×D1111yescharacteristic
1609C4⋊C4C23×D1111yescharacteristic
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—111no—
1616C22⋊C4—111no—
1617C22⋊C4—111no—
1618C22⋊C4—111no—
1619C22⋊C4—111no—
1620C22⋊C4—111no—
1621C22⋊C4—221no—
1622C22⋊C4—221no—
1623C22⋊C4—221no—
1624C22⋊C4—221no—
1625C22⋊C4—221no—
1626C22⋊C4—221no—
1627C22⋊C4—221no—
1628C22⋊C4—221no—
1629C22⋊C4—221no—
1630C22⋊C4—221no—
1631C22⋊C4—221no—
1632C22⋊C4—221no—
1633C22⋊C4—221no—
1634C22⋊C4—221no—
1635C22⋊C4—221no—
1636C22⋊C4—221no—
1637C22⋊C4—221no—
1638C22⋊C4—221no—
1639C22⋊C4—221no—
1640C22⋊C4—221no—
1641C22⋊C4D4×D1111yescharacteristic
1642C22⋊C4D4×D1111yescharacteristic
1643C42—21no—
1644C42—21no—
1645C42—21no—
1646C42—111no—
1647C42—111no—
1648C42—111no—
1649C42—221no—
1650C42—221no—
1651C42—221no—
1652C42—221no—
1653C42—221no—
1654C42—221no—
1655C42—221no—
1656C42—221no—
1657C42—221no—
1658C42—221no—
1659C42C23×D1111yescharacteristic
1660C11#6120611yescharacteristic, complemented, Sylow
1661C23—21no—
1662C23—21no—
1663C23—111no—
1664C23—111no—
1665C23—111no—
1666C23—221no—
1667C23—221no—
1668C23—221no—
1669C23—442no—
1670C23—442no—
1671C23—442no—
1672C23—442no—
1673C23—442no—
1674C23—442no—
1675C23—881no—
1676C23—881no—
1677C23—881no—
1678C23—881no—
1679C23—881no—
1680C23—881no—
1681C23—881no—
1682C23—881no—
1683C23—881no—
1684C23—881no—
1685C23—881no—
1686C23—881no—
1687C23C2×D4×D1111yescharacteristic
1688C23C2×D4×D1111yescharacteristic
1689Q8—21no—
1690Q8—21no—
1691Q8—21no—
1692Q8—222no—
1693Q8—222no—
1694Q8—221no—
1695Q8—221no—
1696Q8—442no—
1697Q8—442no—
1698Q8—881no—
1699Q8#41×D1112yes—
1700D4—21no—
1701D4—21no—
1702D4—21no—
1703D4—21no—
1704D4—41no—
1705D4—42no—
1706D4—42no—
1707D4—42no—
1708D4—81no—
1709D4—81no—
1710D4—81no—
1711D4—112no—
1712D4—222no—
1713D4—222no—
1714D4—224no—
1715D4—222no—
1716D4—222no—
1717D4—222no—
1718D4—222no—
1719D4—222no—
1720D4—222no—
1721D4—221no—
1722D4—221no—
1723D4—221no—
1724D4—221no—
1725D4—221no—
1726D4—441no—
1727D4—442no—
1728D4—442no—
1729D4—442no—
1730D4—442no—
1731D4—442no—
1732D4—442no—
1733D4—442no—
1734D4—442no—
1735D4—442no—
1736D4—442no—
1737D4—442no—
1738D4—881no—
1739D4—881no—
1740D4—881no—
1741D4—881no—
1742D4—881no—
1743D4—881no—
1744D4—881no—
1745D4—881no—
1746D4—881no—
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—21no—
1757C2×C4—42no—
1758C2×C4—42no—
1759C2×C4—81no—
1760C2×C4—111no—
1761C2×C4—111no—
1762C2×C4—112no—
1763C2×C4—112no—
1764C2×C4—111no—
1765C2×C4—111no—
1766C2×C4—111no—
1767C2×C4—222no—
1768C2×C4—224no—
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—441no—
1779C2×C4—442no—
1780C2×C4—442no—
1781C2×C4—442no—
1782C2×C4—442no—
1783C2×C4—442no—
1784C2×C4—881no—
1785C2×C4—881no—
1786C2×C4—881no—
1787C2×C4—881no—
1788C2×C4C2×D4×D1111yescharacteristic
1789C2×C4C2×D4×D1111yescharacteristic
1790C2×C4C2×D4×D1111yescharacteristic
1791C2×C4C2×D4×D1111yescharacteristic
1792C2×C4C24×D1111yescharacteristic
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—221no—
1798C8—221no—
1799C8—221no—
1800C8—221no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—21no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—112no—
1814C22—221no—
1815C22—221no—
1816C22—221no—
1817C22—221no—
1818C22—222no—
1819C22—221no—
1820C22—221no—
1821C22—221no—
1822C22—221no—
1823C22—441no—
1824C22—441no—
1825C22—441no—
1826C22—441no—
1827C22—441no—
1828C22—441no—
1829C22—441no—
1830C22—441no—
1831C22—1762no—
1832C22—1762no—
1833C22—1762no—
1834C22—1762no—
1835C22—1762no—
1836C22—1762no—
1837C22C22×D4×D1111yescharacteristic
1838C4—21no—
1839C4—21no—
1840C4—21no—
1841C4—22no—
1842C4—21no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—41no—
1848C4—112no—
1849C4—112no—
1850C4—221no—
1851C4—221no—
1852C4—221no—
1853C4—441no—
1854C4—441no—
1855C4—441no—
1856C4—441no—
1857C4—441no—
1858C4C2×#41×D1111yescharacteristic
1859C4D11×H(5,𝔽2)11yescharacteristic
1860C2—41no—
1861C2—41no—
1862C2—81no—
1863C2—81no—
1864C2—222no—
1865C2—441no—
1866C2—441no—
1867C2—442no—
1868C2—881no—
1869C2—881no—
1870C2D11×#54611yescharacteristic
1871C2D11×#57711yescharacteristic
1872C2#1308339311yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3317C2
socleC22×C11C23×D4
prime radical#13082393C2
hypercenter#3317D11
hypocenterC11#61206
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3317

Complements

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

NH ≅ G/Ntype
1. #13082475C2semidirect
3. #13080950C2semidirect
4. #13080947C2semidirect
5. #13080845C2semidirect
6. #13080842C2semidirect
7. #13080747C2semidirect
8. #13080742C2semidirect
9. #13080739C2semidirect
10. #13080644C2semidirect
11. #13080639C2semidirect
12. #13080636C2semidirect
13. #13080631C2semidirect
14. #13080551C2semidirect
15. #13080548C2semidirect
16. #13080438C2semidirect
17. #13080435C2semidirect
18. #13078989C2semidirect
19. #13078573C2semidirect
20. #13078571C2semidirect
21. #13078403C2semidirect
22. #13078253C2semidirect
23. #13078250C2semidirect
24. D11×#460C2semidirect
25. #13077890C2semidirect
26. #13077890C2semidirect
27. #13077432C2semidirect
28. #13077357C2semidirect
29. #13077140C2semidirect
30. #13077138C2semidirect
31. C11×#3317C2semidirect
34. C11×#552C22semidirect
39. C2×SD16×D11C22semidirect
40. C2×SD16×D11C22semidirect
41. C2×#66960C22semidirect
42. C2×#66954C22semidirect
49. #10623225C22semidirect
51. #10623219C22semidirect
55. #10623172C22semidirect
56. #10623166C22semidirect
57. #10623159C22semidirect
58. #10623159C22semidirect
67. #10623112C22semidirect
70. C4×Q8×D11C22semidirect
75. #10623072C22semidirect
77. #10623064C22semidirect
79. #10623054C22semidirect
80. #10623042C22semidirect
81. #10623035C22semidirect
82. C11×#490C22semidirect
83. C11×#482C22semidirect
84. C11×#481C22semidirect
85. C11×#479C22semidirect
86. C11×#468C22semidirect
87. C11×#465C22semidirect
88. C11×#460C22semidirect
89. C11×#452C22semidirect
90. C11×#452C22semidirect
91. C11×#441C22semidirect
92. C11×#435C22semidirect
93. C11×#417C22semidirect
94. C11×#416C22semidirect
95. #10622852C22semidirect
96. #10622852C22semidirect
97. #10622846C22semidirect
98. #10622845C22semidirect
99. #10622800C22semidirect
100. #10622800C22semidirect
101. Q16×Dic11C22semidirect
102. #10622787C22semidirect
103. #10622784C22semidirect
104. #10622782C22semidirect
105. #10622782C22semidirect
106. #10622776C22semidirect
107. #10622776C22semidirect
108. #10622747C22semidirect
109. #10622744C22semidirect
110. #10622741C22semidirect
111. #10622727C22semidirect
112. C2×#66885C22semidirect
113. C8×C22⋊D11C22semidirect
114. #10622688C22semidirect
115. #10622684C22semidirect
116. #10622680C22semidirect
117. #10622679C22semidirect
118. #10622662C22semidirect
119. #10622661C22semidirect
120. #10622659C22semidirect
121. #10622659C22semidirect
122. #10622655C22semidirect
123. #10622654C22semidirect
124. #10622648C22semidirect
125. #10622647C22semidirect
126. #10622643C22semidirect
127. #10622640C22semidirect
128. #10622639C22semidirect
129. #10622635C22semidirect
130. #10622624C22semidirect
131. #10622616C22semidirect
132. #10622614C22semidirect
133. #10622580C22semidirect
134. C2×#66873C22semidirect
135. #10622503C22semidirect
136. #10622499C22semidirect
137. #10622498C22semidirect
138. #10622493C22semidirect
139. #10622483C22semidirect
140. #10622479C22semidirect
141. #10622477C22semidirect
142. #10622476C22semidirect
143. #10622476C22semidirect
144. #10622474C22semidirect
145. #10622473C22semidirect
146. #10622465C22semidirect
147. #10622461C22semidirect
148. #10622460C22semidirect
149. #10622449C22semidirect
150. D11×C4⋊C8C22semidirect
151. #10622425C22semidirect
152. #10622423C22semidirect
153. #10622423C22semidirect
154. #10622420C22semidirect
157. #10622417C22semidirect
158. #10622417C22semidirect
160. #10622416C22semidirect
161. #10622416C22semidirect
162. #10622415C22semidirect
163. #10622407C22semidirect
164. #10622404C22semidirect
165. #10622403C22semidirect
166. #10622401C22semidirect
167. #10622397C22semidirect
168. #10622393C22semidirect
169. #10622392C22semidirect
170. #10622391C22semidirect
171. #10622389C22semidirect
172. #10622389C22semidirect
173. #10622387C22semidirect
174. #10622387C22semidirect
175. #10622383C22semidirect
176. #10622383C22semidirect
177. #10622383C22semidirect
178. #10622383C22semidirect
179. #10622383C22semidirect
180. #10622383C22semidirect
181. D11×#102C22semidirect
182. D11×#102C22semidirect
183. D11×#102C22semidirect
184. D11×#102C22semidirect
185. #10622375C22semidirect
186. #10622375C22semidirect
187. #10622373C22semidirect
188. #10622373C22semidirect
189. #10622373C22semidirect
190. #10622373C22semidirect
191. #10622350C22semidirect
192. #10622349C22semidirect
193. #10622344C22semidirect
194. #10622344C22semidirect
195. #10622342C22semidirect
196. #10622340C22semidirect
197. #10622340C22semidirect
198. (C22⋊D11)⋊C8C22semidirect
199. #10622326C22semidirect
200. #10622323C22semidirect
201. #10622320C22semidirect
202. #10622319C22semidirect
734. #3317D11semidirect
914. #552C2×D11semidirect
949. #490C2×D11semidirect
961. #482C2×D11semidirect
965. #481C2×D11semidirect
971. #479C2×D11semidirect
985. #468C2×D11semidirect
993. #465C2×D11semidirect
1001. #460C2×D11semidirect
1008. #452C2×D11semidirect
1009. #452C2×D11semidirect
1019. #441C2×D11semidirect
1031. #435C2×D11semidirect
1051. #417C2×D11semidirect
1057. #416C2×D11semidirect
1660. C11#61206semidirect

Maximal subgroups

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

subgroupindex
#130824752
#130823932
#130809502
#130809472
#130808452
#130808422
#130807472
#130807422
#130807392
#130806442
#130806392
#130806362
#130806312
#130805512
#130805482
#130804382
#130804352
#130789892
#130785732
#130785712
#130784032
#130782532
#130782502
D11×#4602
#130778902
#130774322
#130773572
#130771402
#130771382
C11×#33172
#6120611