Finite Group Databasebeta

← #15626920

Subgroups — #15626920

Order 2816.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082508C211yesmaximal, characteristic, complemented
2#13082036C211yesmaximal, characteristic, complemented
3#13080085C211yesmaximal, characteristic, complemented
4#13080075C211yesmaximal, characteristic, complemented
5#13080072C211yesmaximal, characteristic, complemented
6#13080032C211yesmaximal, characteristic, complemented
7#13080029C211yesmaximal, characteristic, complemented
8#13080027C211yesmaximal, characteristic, complemented
9#13080026C211yesmaximal, characteristic, complemented
10#13080018C211yesmaximal, characteristic, complemented
11#13080014C211yesmaximal, characteristic, complemented
12#13079981C211yesmaximal, characteristic, complemented
13#13079971C211yesmaximal, characteristic, complemented
14#13079966C211yesmaximal, characteristic, complemented
15#13079964C211yesmaximal, characteristic, complemented
16#13079944C211yesmaximal, characteristic, complemented
17#13079937C211yesmaximal, characteristic, complemented
18#13078451C211yesmaximal, characteristic, complemented
19#13078442C211yesmaximal, characteristic, complemented
20#13078414C211yesmaximal, characteristic, complemented
21#13078399C211yesmaximal, characteristic, complemented
22#13078304C211yesmaximal, characteristic, complemented
23#13078289C211yesmaximal, characteristic, complemented
24#13078262C211yesmaximal, characteristic, complemented
25#13078250C211yesmaximal, characteristic, complemented
26#13078135C211yesmaximal, characteristic, complemented
27#13078117C211yesmaximal, characteristic, complemented
28#13078107C211yesmaximal, characteristic, complemented
29D11×#463C211yesmaximal, characteristic, complemented
30#13077183C211yesmaximal, characteristic, complemented
31C11×#3263C211yesmaximal, characteristic, complemented
32C11×#542C2211yescharacteristic, complemented
33C11×#542C2211yescharacteristic, complemented
34C2×#66971C2211yescharacteristic
35C2×#66967C2211yescharacteristic
36C2×SD16×D11C2211yescharacteristic
37C2×D8×D11C2211yescharacteristic
38C2×#66960C2211yescharacteristic
39C2×#66954C2211yescharacteristic
40#10623264C2211yescharacteristic, complemented
41#10623260C2211yescharacteristic
42#10623259C2211yescharacteristic
43#10623256C2211yescharacteristic, complemented
44#10623237—21no—
45#10623236—21no—
46#10623235—21no—
47#10623233—21no—
48#10623213C2211yescharacteristic, complemented
49#10623212—21no—
50#10623211C2211yescharacteristic, complemented
51#10623210—21no—
52#10623209—21no—
53#10623205C2211yescharacteristic
54D11×#124C2211yescharacteristic
55#10623199—21no—
56#10623195—21no—
57#10623194—21no—
58#10623189—21no—
59#10623187—21no—
60#10623172—21no—
61#10623171—21no—
62#10623168—21no—
63#10623160C2211yescharacteristic
64#10623159C2211yescharacteristic
65#10623158—21no—
66#10623155C2211yescharacteristic, complemented
67#10623155C2211yescharacteristic, complemented
68#10623138C2211yescharacteristic
69#10623138C2211yescharacteristic
70#10623131C2211yescharacteristic, complemented
71#10623127C2211yescharacteristic, complemented
72#10623113C2211yescharacteristic, complemented
73#10623111C2211yescharacteristic, complemented
74C4×#4343C2211yescharacteristic
75#10623103C2211yescharacteristic
76#10623093C2211yescharacteristic, complemented
77#10623088C2211yescharacteristic, complemented
78#10623076C2211yescharacteristic
79C4×D4×D11C2211yescharacteristic
80#10623066C2211yescharacteristic, complemented
81#10623065C2211yescharacteristic, complemented
82#10623053C2211yescharacteristic
83C11×#476C2211yescharacteristic, complemented
84C11×#476C2211yescharacteristic, complemented
85C11×#475C2211yescharacteristic, complemented
86C11×#475C2211yescharacteristic, complemented
87C11×#470C2211yescharacteristic, complemented
88C11×#469C2211yescharacteristic
89C11×#465C2211yescharacteristic, complemented
90C11×#465C2211yescharacteristic, complemented
91C11×#464C2211yescharacteristic, complemented
92C11×#464C2211yescharacteristic, complemented
93C11×#463C2211yescharacteristic
94C11×#463C2211yescharacteristic
95C11×#424C2211yescharacteristic, complemented
96#10622801C2211yescharacteristic, complemented
97#10622798C2211yescharacteristic, complemented
98#10622798C2211yescharacteristic, complemented
99#10622787C2211yescharacteristic, complemented
100#10622784C2211yescharacteristic, complemented
101#10622779C2211yescharacteristic, complemented
102#10622778C2211yescharacteristic
103#10622778C2211yescharacteristic
104#10622776C2211yescharacteristic, complemented
105#10622772C2211yescharacteristic
106#10622766C2211yescharacteristic
107#10622763C2211yescharacteristic
108#10622748C2211yescharacteristic
109#10622747C2211yescharacteristic, complemented
110#10622731C2211yescharacteristic, complemented
111#10622728C2211yescharacteristic, complemented
112#10622727C2211yescharacteristic, complemented
113C2×Dic11⋊C8C2211yescharacteristic, complemented
114#10622704C2211yescharacteristic, complemented
115#10622700C2211yescharacteristic, complemented
116#10622700C2211yescharacteristic, complemented
117#10622697C2211yescharacteristic, complemented
118#10622670C2211yescharacteristic
119#10622670C2211yescharacteristic
120#10622670C2211yescharacteristic, complemented
121#10622667C2211yescharacteristic, complemented
122#10622664C2211yescharacteristic, complemented
123#10622662C2211yescharacteristic, complemented
124#10622662C2211yescharacteristic, complemented
125#10622661C2211yescharacteristic, complemented
126#10622655C2211yescharacteristic, complemented
127#10622652C2211yescharacteristic, complemented
128#10622651C2211yescharacteristic
129#10622651C2211yescharacteristic
130#10622641C2211yescharacteristic, complemented
131#10622640C2211yescharacteristic, complemented
132#10622635C2211yescharacteristic, complemented
133#10622634C2211yescharacteristic, complemented
134#10622629C2211yescharacteristic
135#10622628C2211yescharacteristic
136#10622622C2211yescharacteristic, complemented
137#10622620C2211yescharacteristic, complemented
138#10622612C2211yescharacteristic, complemented
139#10622484C2211yescharacteristic, complemented
140#10622484C2211yescharacteristic, complemented
141#10622484C2211yescharacteristic, complemented
142#10622484C2211yescharacteristic, complemented
143#10622484C2211yescharacteristic, complemented
144#10622483C2211yescharacteristic, complemented
145#10622478C2211yescharacteristic
146#10622478C2211yescharacteristic, complemented
147#10622477C2211yescharacteristic, complemented
148#10622477C2211yescharacteristic, complemented
149#10622474C2211yescharacteristic
150#10622474C2211yescharacteristic
151#10622473C2211yescharacteristic
152#10622473C2211yescharacteristic
153#10622470C2211yescharacteristic, complemented
154#10622467C2211yescharacteristic, complemented
155#10622461C2211yescharacteristic, complemented
156#10622460C2211yescharacteristic, complemented
157#10622459C2211yescharacteristic, complemented
158#10622457C2211yescharacteristic
159#10622457C2211yescharacteristic, complemented
160#10622456C2211yescharacteristic
161#10622455C2211yescharacteristic, complemented
162#10622452C2211yescharacteristic
163#10622452C2211yescharacteristic
164#10622452C2211yescharacteristic, complemented
165#10622452C2211yescharacteristic, complemented
166#10622450C2211yescharacteristic
167#10622450C2211yescharacteristic, complemented
168D11×C4⋊C8C2211yescharacteristic
169D11×C4⋊C8C2211yescharacteristic, complemented
170#10622442C2211yescharacteristic, complemented
171#10622432C2211yescharacteristic
172#10622432C2211yescharacteristic
173#10622432C2211yescharacteristic, complemented
174#10622429C2211yescharacteristic, complemented
175#10622425C2211yescharacteristic, complemented
176#10622425C2211yescharacteristic, complemented
177#10622420C2211yescharacteristic, complemented
178#10622417C2211yescharacteristic
179#10622417C2211yescharacteristic
180#10622415C2211yescharacteristic
181D11×#103C2211yescharacteristic
182#10622412C2211yescharacteristic, complemented
183#10622412C2211yescharacteristic, complemented
184#10622412C2211yescharacteristic, complemented
185#10622411C2211yescharacteristic, complemented
186#10622407C2211yescharacteristic, complemented
187#10622400C2211yescharacteristic
188#10622400C2211yescharacteristic, complemented
189#10622399C2211yescharacteristic
190#10622393C2211yescharacteristic, complemented
191#10622388C2211yescharacteristic
192#10622388C2211yescharacteristic
193#10622388C2211yescharacteristic, complemented
194#10622383C2211yescharacteristic
195#10622383C2211yescharacteristic
196#10622383C2211yescharacteristic
197D11×#102C2211yescharacteristic
198#10622379C2211yescharacteristic, complemented
199#10622379C2211yescharacteristic, complemented
200#10622376C2211yescharacteristic, complemented
201#10622375C2211yescharacteristic, complemented
202#10622372C2211yescharacteristic, complemented
203C2×#4343—21no—
204C2×#4343C2311yescharacteristic
205C2×Q8×D11C2311yescharacteristic
206C2×#4341—21no—
207C2×D4×D11C2311yescharacteristic
208C2×D4×D11C2311yescharacteristic
209C2×#4339C2311yescharacteristic
210C22×C4×D11—21no—
211C2×C11×Q16C2311yescharacteristic
212C2×C11×SD16C2311yescharacteristic
213C2×C11×SD16C2311yescharacteristic
214C2×C11×D8C2311yescharacteristic
215C2×C11×M16C2311yescharacteristic
216C22×C8×C11C2311yescharacteristic
217C11×C4⋊Q8C2311yescharacteristic
218C11×C4⋊Q8C2311yescharacteristic
219C11×#126—21no—
220C11×#126—21no—
221C11×#124—21no—
222C11×#124—21no—
223C11×#124C2311yescharacteristic
224C11×#124C2311yescharacteristic
225C11×#123—21no—
226C11×#123—21no—
227C11×C22⋊Q8—21no—
228C11×C22⋊Q8—21no—
229C11×C22⋊Q8C2311yescharacteristic
230C11×C22⋊Q8C2311yescharacteristic
231C11×#121C2311yescharacteristic
232C11×#121C2311yescharacteristic
233C4×Q8×C11C2311yescharacteristic
234C4×Q8×C11C2311yescharacteristic
235C4×D4×C11C2311yescharacteristic
236C4×D4×C11C2311yescharacteristic
237C11×#117C2311yescharacteristic
238#67000—21no—
239#67000—21no—
240#67000C2311yescharacteristic
241#67000C2311yescharacteristic
242#66999—21no—
243#66999—21no—
244#66999—21no—
245#66999C2311yescharacteristic
246#66999C2311yescharacteristic
247Q8×Dic11—21no—
248Q8×Dic11C2311yescharacteristic
249Q8×Dic11C2311yescharacteristic
250#66997—21no—
251C2×#4326C2311yescharacteristic
252C2×#4325C2311yescharacteristic
253C2×#4325C2311yescharacteristic
254C2×#4325C2311yescharacteristic
255#66993—21no—
256#66993—21no—
257#66993C2311yescharacteristic
258#66992—21no—
259#66991C2311yescharacteristic
260#66991C2311yescharacteristic
261#66990—21no—
262#66990—21no—
263#66989C2311yescharacteristic
264#66988—21no—
265D4×Dic11—21no—
266D4×Dic11C2311yescharacteristic
267D4×Dic11C2311yescharacteristic
268C2×#4324C2311yescharacteristic
269C2×#4323C2311yescharacteristic
270C2×#4323C2311yescharacteristic
271C2×#4323C2311yescharacteristic
272#66983—21no—
273#66983C2311yescharacteristic
274#66983C2311yescharacteristic
275#66983C2311yescharacteristic
276#66982—21no—
277C4×C22⋊D11—21no—
278C4×C22⋊D11—21no—
279C4×C22⋊D11—21no—
280C2×(C2×D11)⋊C4—21no—
281#66979—21no—
282#66977C2311yescharacteristic
283C2×C4×Dic11C2311yescharacteristic
284C2×#4318C2311yescharacteristic
285C22×C11⋊C8C2311yescharacteristic
286#66971—42no—
287#66967—42no—
288SD16×D11—42no—
289D8×D11—42no—
290#66960—42no—
291C2×D88C2311yescharacteristic
292C2×D88C2311yescharacteristic
293C2×#4314C2311yescharacteristic
294C2×#4314C2311yescharacteristic
295#66954—42no—
296C2×#4313C2311yescharacteristic
297C2×#4313C2311yescharacteristic
298C2×#4313C2311yescharacteristic
299C2×#4313C2311yescharacteristic
300C2×C8×D11C2311yescharacteristic
301C2×C8×D11C2311yescharacteristic
302C2×C8×D11C2311yescharacteristic
303C2×C8×D11C2311yescharacteristic
304#66951—21no—
305#66951—21no—
306#66951—21no—
307#66951—21no—
308#66951—21no—
309#66950—21no—
310#66950C2311yescharacteristic
311#66949—21no—
312#66949—21no—
313#66949—21no—
314#66949—21no—
315#66948—21no—
316#66948—21no—
317#66948C2311yescharacteristic
318#66948C2311yescharacteristic
319#66948C2311yescharacteristic
320#66947—21no—
321#66947—21no—
322#66947—21no—
323#66947—21no—
324#66947—21no—
325#66947—21no—
326#66946—21no—
327#66946—21no—
328#66946D411yescharacteristic
329#66946D411yescharacteristic
330#66946C2311yescharacteristic
331#66946C2311yescharacteristic
332#66946C2311yescharacteristic
333#66945—21no—
334#66945—21no—
335#66945—21no—
336#66945—21no—
337#66945C2311yescharacteristic
338#66945C2311yescharacteristic
339#66945C2311yescharacteristic
340C4⋊C4×D11C2311yescharacteristic
341#66943C2311yescharacteristic
342#66943C2311yescharacteristic
343#66943C2311yescharacteristic
344#66942—21no—
345#66941—21no—
346#66941C2311yescharacteristic
347#66940—21no—
348#66940—21no—
349#66940D411yescharacteristic
350#66940D411yescharacteristic
351#66940C2311yescharacteristic
352#66939—21no—
353#66939—21no—
354#66939—21no—
355#66938—21no—
356#66938—21no—
357#66938—21no—
358#66938—21no—
359#66938—21no—
360#66938—21no—
361#66938—21no—
362#66938—21no—
363#66937—21no—
364#66937—21no—
365#66937—21no—
366#66937—21no—
367#66937—21no—
368#66937—21no—
369#66937—21no—
370#66936—21no—
371#66936—21no—
372#66936—21no—
373#66936—21no—
374#66936—21no—
375#66935—21no—
376#66935—21no—
377#66935—21no—
378#66935—21no—
379(C22⋊D11)⋊C4—21no—
380(C22⋊D11)⋊C4—21no—
381(C22⋊D11)⋊C4—21no—
382(C22⋊D11)⋊C4—21no—
383(C22⋊D11)⋊C4—21no—
384(C22⋊D11)⋊C4—21no—
385(C22⋊D11)⋊C4D411yescharacteristic
386(C22⋊D11)⋊C4D411yescharacteristic
387(C22⋊D11)⋊C4D411yescharacteristic
388(C22⋊D11)⋊C4D411yescharacteristic
389C22⋊C4×D11—21no—
390C22⋊C4×D11—21no—
391C22⋊C4×D11—21no—
392C22⋊C4×D11—21no—
393#66932—21no—
394#66932—21no—
395#66932—21no—
396#66932—21no—
397#66931—21no—
398#66930—21no—
399#66930—21no—
400#66929—21no—
401#66928—21no—
402#66928C2311yescharacteristic
403#66927C2311yescharacteristic
404C4×D44—21no—
405C4×D44—21no—
406C4×D44C2311yescharacteristic
407C4×D44C2311yescharacteristic
408C4×D44C2311yescharacteristic
409#66925—21no—
410#66925—21no—
411#66925C2311yescharacteristic
412#66925C2311yescharacteristic
413C42×D11—21no—
414C42×D11C2311yescharacteristic
415C42×D11C2311yescharacteristic
416#66923C2311yescharacteristic
417#66922C2311yescharacteristic
418C4×Dic22—21no—
419C4×Dic22C2311yescharacteristic
420C11×#106C2311yescharacteristic
421C11×#106C2311yescharacteristic
422C11×#106C2311yescharacteristic
423C11×#106C2311yescharacteristic
424C11×C4⋊C8C2311yescharacteristic
425C11×C4⋊C8C2311yescharacteristic
426C11×C4⋊C8C2311yescharacteristic
427C11×C4⋊C8C2311yescharacteristic
428C11×#103C2311yescharacteristic
429C11×#103C2311yescharacteristic
430C11×#103C2311yescharacteristic
431C11×#103C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×#102C2311yescharacteristic
434C11×#102C2311yescharacteristic
435C11×#102C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66899C2311yescharacteristic
439#66899C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66885C2311yescharacteristic
445#66885C2311yescharacteristic
446#66885C2311yescharacteristic
447#66885C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66882C2311yescharacteristic
451#66882C2311yescharacteristic
452#66881C2311yescharacteristic
453#66881C2311yescharacteristic
454#66880C2311yescharacteristic
455#66880C2311yescharacteristic
456Dic11⋊C8C2311yescharacteristic
457Dic11⋊C8C2311yescharacteristic
458Dic11⋊C8C2311yescharacteristic
459Dic11⋊C8C2311yescharacteristic
460Dic11⋊C8C2311yescharacteristic
461Dic11⋊C8C2311yescharacteristic
462Dic11⋊C8C2311yescharacteristic
463Dic11⋊C8C2311yescharacteristic
464#66874C2311yescharacteristic
465#66874C2311yescharacteristic
466#66873C2311yescharacteristic
467#66873C2311yescharacteristic
468#66873C2311yescharacteristic
469#66873C2311yescharacteristic
470#66873C2311yescharacteristic
471#66873C2311yescharacteristic
472#66872C2311yescharacteristic
473#66872C2311yescharacteristic
474#66871C2311yescharacteristic
475#66871C2311yescharacteristic
476#66871C2311yescharacteristic
477#66871C2311yescharacteristic
478#66871C2311yescharacteristic
479#66871C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481C4⋊(C11⋊C8)C2311yescharacteristic
482C4⋊(C11⋊C8)C2311yescharacteristic
483C4⋊(C11⋊C8)C2311yescharacteristic
484#60926—111nomaximal, Sylow
485C23×D11—21no—
486C23×D11—21no—
487C2×Q8×C11—21no—
488C2×Q8×C11—21no—
489C2×Q8×C11C2411yescharacteristic
490C2×Q8×C11C2411yescharacteristic
491C2×D4×C11—21no—
492C2×D4×C11—21no—
493C2×D4×C11C2411yescharacteristic
494C2×D4×C11C2411yescharacteristic
495C22×C4×C11—21no—
496C22×C4×C11—21no—
497C22×C4×C11C2411yescharacteristic
498C2×C22⋊D11—21no—
499C2×C22⋊D11—21no—
500C2×C22⋊D11—21no—
501C2×C22⋊D11—21no—
502C2×C22⋊D11—21no—
503C2×C22⋊D11—21no—
504C2×C22⋊D11—21no—
505C2×C22⋊D11—21no—
506C2×C22⋊D11—21no—
507C2×C22⋊D11C2×D411yescharacteristic
508C2×C22⋊D11C2×D411yescharacteristic
509C22×Dic11—21no—
510C22×Dic11—21no—
511C22×Dic11C2×D411yescharacteristic
512C22×Dic11C2×D411yescharacteristic
513#4343—22no—
514#4343—22no—
515#4343—82no—
516Q8×D11—22no—
517Q8×D11—22no—
518#4341—82no—
519D4×D11—22no—
520D4×D11—22no—
521D4×D11—22no—
522D4×D11—22no—
523#4339—22no—
524#4339—22no—
525C2×D44—21no—
526C2×D44—21no—
527C2×D44—21no—
528C2×D44—21no—
529C2×D44—21no—
530C2×D44—21no—
531C2×D44C2×D411yescharacteristic
532C2×D44C2411yescharacteristic
533C2×D44C2411yescharacteristic
534C2×D44C2411yescharacteristic
535C2×C4×D11—21no—
536C2×C4×D11—21no—
537C2×C4×D11—21no—
538C2×C4×D11—21no—
539C2×C4×D11—21no—
540C2×C4×D11—21no—
541C2×C4×D11—21no—
542C2×C4×D11—21no—
543C2×C4×D11—21no—
544C2×C4×D11—82no—
545C2×C4×D11C2×D411yescharacteristic
546C2×C4×D11C2×D411yescharacteristic
547C2×C4×D11C2×D411yescharacteristic
548C2×C4×D11C2×D411yescharacteristic
549C2×C4×D11C2411yescharacteristic
550C2×C4×D11C2411yescharacteristic
551C2×Dic22—21no—
552C2×Dic22—21no—
553C2×Dic22—21no—
554C2×Dic22C2×D411yescharacteristic
555C2×Dic22C2411yescharacteristic
556C11×Q16—41no—
557C11×SD16—41no—
558C11×SD16—41no—
559C11×D8—41no—
560C11×M16—41no—
561C2×C8×C11—41no—
562C2×C8×C11C2411yescharacteristic
563C2×C8×C11C2411yescharacteristic
564C2×C8×C11C2411yescharacteristic
565C2×C8×C11C2411yescharacteristic
566C11×C4⋊C4—21no—
567C11×C4⋊C4—21no—
568C11×C4⋊C4—21no—
569C11×C4⋊C4—21no—
570C11×C4⋊C4—21no—
571C11×C4⋊C4—21no—
572C11×C4⋊C4C2×D411yescharacteristic
573C11×C4⋊C4C2×D411yescharacteristic
574C11×C4⋊C4C2411yescharacteristic
575C11×C4⋊C4C2411yescharacteristic
576C11×C4⋊C4C2411yescharacteristic
577C11×C4⋊C4C2411yescharacteristic
578C11×C22⋊C4—21no—
579C11×C22⋊C4—21no—
580C11×C22⋊C4—21no—
581C11×C22⋊C4—21no—
582C11×C22⋊C4—21no—
583C11×C22⋊C4—21no—
584C11×C22⋊C4—21no—
585C11×C22⋊C4—21no—
586C11×C22⋊C4—21no—
587C11×C22⋊C4—21no—
588C11×C22⋊C4C2×D411yescharacteristic
589C11×C22⋊C4C2×D411yescharacteristic
590C42×C11—21no—
591C42×C11—21no—
592C42×C11C2411yescharacteristic
593C42×C11C2411yescharacteristic
594C22⋊Dic11—21no—
595C22⋊Dic11—21no—
596C22⋊Dic11—21no—
597C22⋊Dic11—21no—
598C22⋊Dic11—21no—
599C22⋊Dic11—21no—
600C22⋊Dic11—21no—
601#4326—41no—
602#4325—41no—
603#4325—41no—
604#4325—41no—
605#4324—41no—
606#4323—41no—
607#4323—41no—
608#4323—41no—
609(C2×D11)⋊C4—21no—
610(C2×D11)⋊C4—21no—
611(C2×D11)⋊C4—21no—
612(C2×D11)⋊C4—21no—
613(C2×D11)⋊C4—21no—
614(C2×D11)⋊C4—21no—
615(C2×D11)⋊C4—21no—
616(C2×D11)⋊C4—21no—
617(C2×D11)⋊C4—21no—
618(C2×D11)⋊C4—21no—
619(C2×D11)⋊C4—21no—
620(C2×D11)⋊C4—21no—
621(C2×D11)⋊C4—21no—
622(C2×D11)⋊C4—21no—
623(C2×D11)⋊C4—21no—
624(C2×D11)⋊C4—21no—
625(C2×D11)⋊C4—21no—
626(C2×D11)⋊C4—21no—
627(C2×D11)⋊C4—21no—
628(C2×D11)⋊C4—21no—
629(C2×D11)⋊C4—21no—
630(C2×D11)⋊C4—21no—
631(C2×D11)⋊C4—21no—
632(C2×D11)⋊C4—21no—
633(C2×D11)⋊C4C2×D411yescharacteristic
634(C2×D11)⋊C4C2×D411yescharacteristic
635(C2×D11)⋊C4C2×D411yescharacteristic
636(C2×D11)⋊C4C2×D411yescharacteristic
637C4⋊Dic11—21no—
638C4⋊Dic11—21no—
639C4⋊Dic11—21no—
640C4⋊Dic11—21no—
641C4⋊Dic11—21no—
642C4⋊Dic11—21no—
643C4⋊Dic11—21no—
644C4⋊Dic11C2411yescharacteristic
645C4⋊Dic11C2411yescharacteristic
646C4⋊Dic11C2411yescharacteristic
647C4⋊Dic11C2411yescharacteristic
648Dic11⋊C4—21no—
649Dic11⋊C4—21no—
650Dic11⋊C4—21no—
651Dic11⋊C4—21no—
652Dic11⋊C4—21no—
653Dic11⋊C4—21no—
654Dic11⋊C4—21no—
655Dic11⋊C4—21no—
656Dic11⋊C4—21no—
657Dic11⋊C4—21no—
658Dic11⋊C4—21no—
659Dic11⋊C4—21no—
660Dic11⋊C4C2×D411yescharacteristic
661Dic11⋊C4C2×D411yescharacteristic
662Dic11⋊C4C2×D411yescharacteristic
663Dic11⋊C4C2×D411yescharacteristic
664C4×Dic11—21no—
665C4×Dic11—21no—
666C4×Dic11—21no—
667C4×Dic11—21no—
668C4×Dic11—21no—
669C4×Dic11—21no—
670C4×Dic11—21no—
671C4×Dic11C2×D411yescharacteristic
672C4×Dic11C2×D411yescharacteristic
673C4×Dic11C2×D411yescharacteristic
674C4×Dic11C2×D411yescharacteristic
675C4×Dic11C2×D411yescharacteristic
676C4×Dic11C2×D411yescharacteristic
677C4×Dic11C2411yescharacteristic
678C4×Dic11C2411yescharacteristic
679#4318—41no—
680C2×C11⋊C8—41no—
681C2×C11⋊C8C2411yescharacteristic
682C2×C11⋊C8C2411yescharacteristic
683C2×C11⋊C8C2411yescharacteristic
684C2×C11⋊C8C2411yescharacteristic
685D88—41no—
686D88—41no—
687#4314—41no—
688#4314—41no—
689#4313—22no—
690#4313—22no—
691#4313—41no—
692#4313—41no—
693C8×D11—22no—
694C8×D11—22no—
695C8×D11—41no—
696C8×D11—41no—
697#3510—111no—
698#3460—111no—
699#3263—111no—
700#3263D1111yescharacteristic, complemented
701#3262—111no—
702#3262—111no—
703#3257—111no—
704#3257—111no—
705#3257—111no—
706#3257—111no—
707#3256—111no—
708#3256—111no—
709#3251—111no—
710#3251—111no—
711#3250—111no—
712#3250—111no—
713#3247—111no—
714#3247—111no—
715#3082—111no—
716#3081—111no—
717#3077—111no—
718#3076—111no—
719#3063—111no—
720#3062—111no—
721#3058—111no—
722#3057—111no—
723#3043—111no—
724#3041—111no—
725#3040—111no—
726C2×#463—111no—
727#2906—111no—
728C23×C11—21no—
729C23×C11—21no—
730C23×C11C22×D411yescharacteristic
731C22×D11—21no—
732C22×D11—21no—
733C22×D11—21no—
734C22×D11—42no—
735C22×D11—42no—
736C22×D11—81no—
737C22×D11—81no—
738C22×D11—81no—
739C22×D11—81no—
740C22×D11C22×D411yescharacteristic
741C22×D11C22×D411yescharacteristic
742Q8×C11—21no—
743Q8×C11—21no—
744Q8×C11—21no—
745Q8×C11—21no—
746Q8×C11—81no—
747Q8×C11—81no—
748D4×C11—21no—
749D4×C11—21no—
750D4×C11—21no—
751D4×C11—21no—
752D4×C11—81no—
753D4×C11—81no—
754C2×C4×C11—21no—
755C2×C4×C11—21no—
756C2×C4×C11—21no—
757C2×C4×C11—21no—
758C2×C4×C11—21no—
759C2×C4×C11—21no—
760C2×C4×C11—21no—
761C2×C4×C11—21no—
762C2×C4×C11—81no—
763C2×C4×C11—81no—
764C2×C4×C11C22×D411yescharacteristic
765C2×C4×C11C22×D411yescharacteristic
766C2×C4×C11C22×D411yescharacteristic
767C2×C4×C11C22×D411yescharacteristic
768C2×C4×C11C22×D411yescharacteristic
769C2×C4×C11C2511yescharacteristic
770C22⋊D11—22no—
771C22⋊D11—22no—
772C22⋊D11—42no—
773C22⋊D11—42no—
774C22⋊D11—81no—
775C22⋊D11—81no—
776C22⋊D11—81no—
777C22⋊D11—81no—
778C22⋊D11—81no—
779C22⋊D11—81no—
780C22⋊D11—81no—
781C2×Dic11—21no—
782C2×Dic11—21no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—41no—
787C2×Dic11—41no—
788C2×Dic11—42no—
789C2×Dic11—81no—
790C2×Dic11C22×D411yescharacteristic
791C2×Dic11C22×D411yescharacteristic
792C2×Dic11C22×D411yescharacteristic
793C2×Dic11C22×D411yescharacteristic
794C2×Dic11C22×D411yescharacteristic
795C2×Dic11C22×D411yescharacteristic
796D44—22no—
797D44—21no—
798D44—21no—
799D44—21no—
800D44—21no—
801D44—21no—
802D44—21no—
803D44—42no—
804D44—81no—
805D44—81no—
806D44—81no—
807D44—81no—
808D44—81no—
809C4×D11—21no—
810C4×D11—21no—
811C4×D11—41no—
812C4×D11—41no—
813C4×D11—41no—
814C4×D11—41no—
815C4×D11—42no—
816C4×D11—42no—
817C4×D11—42no—
818C4×D11—42no—
819C4×D11—81no—
820C4×D11—81no—
821C4×D11—81no—
822C4×D11—81no—
823C4×D11—81no—
824C4×D11H(5,𝔽2)12yes—
825C4×D112−1+412yes—
826Dic22—22no—
827Dic22—21no—
828Dic22—21no—
829Dic22—42no—
830Dic22—81no—
831Dic22—81no—
832C8×C11—21no—
833C8×C11—21no—
834C8×C11—21no—
835C8×C11—21no—
836C11⋊C8—21no—
837C11⋊C8—21no—
838C11⋊C8—21no—
839C11⋊C8—21no—
840C2×#137—111no—
841C2×AGL(1,ℤ/8)—111no—
842C22×SD16—111no—
843C22×D8—111no—
844C2×#131—111no—
845C2×#131—111no—
846#559—221no—
847#559—221no—
848#556—221no—
849#556—221no—
850#551—221no—
851#551—221no—
852#551—221no—
853#551—221no—
854#544—111no—
855#542—111no—
856#542—111no—
857#542—111no—
858#542—111no—
859#542—221no—
860#542C2×D1111yescharacteristic, complemented
861#542C2×D1111yescharacteristic, complemented
862#540—111no—
863#540—111no—
864#540—221no—
865#538—221no—
866#538—221no—
867#537—111no—
868#536—111no—
869#535—111no—
870#535—111no—
871#535—111no—
872#533—111no—
873#532—111no—
874#532—111no—
875#532—221no—
876#529—111no—
877#529—111no—
878#529—111no—
879#529—111no—
880#529—111no—
881#529—111no—
882#529—221no—
883C2×#124—111no—
884#525—221no—
885#525—221no—
886#519—111no—
887#518—111no—
888C4×#41—111no—
889C4×#41—111no—
890C2×C4×D4—111no—
891#479—111no—
892#479—111no—
893#479—111no—
894#479—111no—
895#479—111no—
896#479—111no—
897#478—111no—
898#478—111no—
899#478—111no—
900#478—111no—
901#478—111no—
902#478—111no—
903#478—111no—
904#478—111no—
905#478—111no—
906#478—111no—
907#477—111no—
908#477—111no—
909#477—111no—
910#476—111no—
911#476—111no—
912#476—111no—
913#476C2×D1111yescharacteristic, complemented
914#476C2×D1111yescharacteristic, complemented
915#475—111no—
916#475C2×D1111yescharacteristic, complemented
917#475C2×D1111yescharacteristic, complemented
918#474—111no—
919#474—111no—
920#474—111no—
921#474—111no—
922#474—111no—
923#470—111no—
924#470C2×D1111yescharacteristic, complemented
925#469—111no—
926#469—111no—
927#469—111no—
928#469—111no—
929#469—111no—
930#469C2×D1111yescharacteristic
931#468—111no—
932#468—111no—
933#468—111no—
934#468—111no—
935#468—111no—
936#468—111no—
937#468—111no—
938#468—111no—
939#467—111no—
940#467—111no—
941#466—111no—
942#466—111no—
943#466—111no—
944#466—111no—
945#466—111no—
946#466—111no—
947#465—111no—
948#465—111no—
949#465—111no—
950#465—111no—
951#465—111no—
952#465—111no—
953#465C2×D1111yescharacteristic, complemented
954#465C2×D1111yescharacteristic, complemented
955#464—111no—
956#464—111no—
957#464—111no—
958#464—111no—
959#464—111no—
960#464—111no—
961#464C2×D1111yescharacteristic, complemented
962#464C2×D1111yescharacteristic, complemented
963#463—111no—
964#463—111no—
965#463—111no—
966#463—111no—
967#463—111no—
968#463—111no—
969#463—111no—
970#463—111no—
971#463—111no—
972#463—111no—
973#463—111no—
974#463—111no—
975#463—111no—
976#463—111no—
977#463C2×D1111yescharacteristic
978#463C2×D1111yescharacteristic
979#460—111no—
980#460—111no—
981#460—111no—
982#460—111no—
983#459—111no—
984#459—111no—
985#459—111no—
986#459—111no—
987#428—111no—
988#428—111no—
989#427—111no—
990#427—111no—
991#424—111no—
992#424—111no—
993#424—111no—
994#424—111no—
995#424—111no—
996#424C2×D1111yescharacteristic, complemented
997#423—111no—
998#423—111no—
999#423—111no—
1000C2×C4⋊C8—111no—
1001C2×C4⋊C8—111no—
1002C2×C4⋊C8—111no—
1003#419—111no—
1004#418—111no—
1005#418—111no—
1006#418—111no—
1007#416—111no—
1008#416—111no—
1009C2×#103—111no—
1010C2×#102—111no—
1011C22×C11—21no—
1012C22×C11—21no—
1013C22×C11—21no—
1014C22×C11—41no—
1015C22×C11—41no—
1016C22×C11—41no—
1017C22×C11—41no—
1018C22×C11—41no—
1019C22×C11—41no—
1020C22×C11C23×D411yescharacteristic
1021C2×D11—21no—
1022C2×D11—21no—
1023C2×D11—21no—
1024C2×D11—21no—
1025C2×D11—21no—
1026C2×D11—41no—
1027C2×D11—41no—
1028C2×D11—41no—
1029C2×D11—41no—
1030C2×D11—41no—
1031C2×D11—41no—
1032C2×D11—41no—
1033C2×D11—41no—
1034C2×D11—41no—
1035C2×D11—84no—
1036C2×D11—162no—
1037C2×D11#53712yes—
1038C4×C11—21no—
1039C4×C11—21no—
1040C4×C11—21no—
1041C4×C11—21no—
1042C4×C11—21no—
1043C4×C11—41no—
1044C4×C11—41no—
1045C4×C11—41no—
1046C4×C11—41no—
1047C4×C11—41no—
1048C4×C11—41no—
1049C4×C11C2×H(5,𝔽2)11yescharacteristic
1050C4×C11C2×2−1+411yescharacteristic
1051Dic11—21no—
1052Dic11—21no—
1053Dic11—21no—
1054Dic11—21no—
1055Dic11—21no—
1056Dic11—41no—
1057Dic11—41no—
1058Dic11—41no—
1059Dic11—41no—
1060Dic11—41no—
1061Dic11#53712yes—
1062C2×#41—111no—
1063C2×#41—111no—
1064C2×#41—221no—
1065C2×#41—221no—
1066C22×Q8—111no—
1067C22×D4—111no—
1068C22×D4—111no—
1069C23×C4—221no—
1070#137—442no—
1071AGL(1,ℤ/8)—442no—
1072C2×Q16—111no—
1073C2×Q16C22×D1111yescharacteristic
1074C2×SD16—111no—
1075C2×SD16—111no—
1076C2×SD16—111no—
1077C2×SD16—111no—
1078C2×SD16—111no—
1079C2×SD16—111no—
1080C2×SD16—442no—
1081C2×SD16C22×D1111yescharacteristic
1082C2×SD16C22×D1111yescharacteristic
1083C2×D8—111no—
1084C2×D8—111no—
1085C2×D8—111no—
1086C2×D8—111no—
1087C2×D8—111no—
1088C2×D8—442no—
1089C2×D8C22×D1111yescharacteristic
1090#131—442no—
1091#131—442no—
1092C2×M16—111no—
1093C2×M16—111no—
1094C2×M16—111no—
1095C2×M16—111no—
1096C2×M16—111no—
1097C2×M16C22×D1111yescharacteristic
1098C22×C8—111no—
1099C22×C8—111no—
1100C22×C8—111no—
1101C22×C8—111no—
1102C22×C8—111no—
1103C22×C8C22×D1111yescharacteristic
1104C4⋊Q8—111no—
1105C4⋊Q8—111no—
1106C4⋊Q8—221no—
1107C4⋊Q8—221no—
1108C4⋊Q8C22×D1111yescharacteristic
1109C4⋊Q8C22×D1111yescharacteristic
1110#127—111no—
1111#127—111no—
1112#127—221no—
1113#127—221no—
1114#126—21no—
1115#126—21no—
1116#126—221no—
1117#126—221no—
1118#126—221no—
1119#126—221no—
1120#126—221no—
1121#126—221no—
1122#126—221no—
1123#126—221no—
1124#126—221no—
1125#126—221no—
1126#125—111no—
1127#125—111no—
1128#125—111no—
1129#125—111no—
1130#125—221no—
1131#124—21no—
1132#124—21no—
1133#124—111no—
1134#124—111no—
1135#124—111no—
1136#124—111no—
1137#124—221no—
1138#124—221no—
1139#124—221no—
1140#124—221no—
1141#124—221no—
1142#124—221no—
1143#124—221no—
1144#124—221no—
1145#124—221no—
1146#124—221no—
1147#124—221no—
1148#124C22×D1111yescharacteristic
1149#124C22×D1111yescharacteristic
1150#123—21no—
1151#123—21no—
1152#123—221no—
1153#123—221no—
1154#123—221no—
1155#123—221no—
1156#123—221no—
1157#123—221no—
1158#123—221no—
1159#123—221no—
1160#123—221no—
1161#123—221no—
1162#123—221no—
1163#123—221no—
1164#123—221no—
1165#123—221no—
1166#123—221no—
1167#123—221no—
1168C22⋊Q8—21no—
1169C22⋊Q8—21no—
1170C22⋊Q8—111no—
1171C22⋊Q8—111no—
1172C22⋊Q8—111no—
1173C22⋊Q8—111no—
1174C22⋊Q8—221no—
1175C22⋊Q8—221no—
1176C22⋊Q8—221no—
1177C22⋊Q8—221no—
1178C22⋊Q8—221no—
1179C22⋊Q8—221no—
1180C22⋊Q8—221no—
1181C22⋊Q8—221no—
1182C22⋊Q8—221no—
1183C22⋊Q8C22×D1111yescharacteristic
1184C22⋊Q8C22×D1111yescharacteristic
1185#121—111no—
1186#121—111no—
1187#121—111no—
1188#121—111no—
1189#121—111no—
1190#121—111no—
1191#121—111no—
1192#121—111no—
1193#121—221no—
1194#121—221no—
1195#121—221no—
1196#121—221no—
1197#121—221no—
1198#121—221no—
1199#121—221no—
1200#121—221no—
1201#121—221no—
1202#121—221no—
1203#121—221no—
1204#121C22×D1111yescharacteristic
1205#121C22×D1111yescharacteristic
1206#120—221no—
1207#120—221no—
1208#120—221no—
1209#120—221no—
1210#120—221no—
1211#120—221no—
1212C4×Q8—111no—
1213C4×Q8—111no—
1214C4×Q8—111no—
1215C4×Q8—111no—
1216C4×Q8—111no—
1217C4×Q8—111no—
1218C4×Q8—221no—
1219C4×Q8—221no—
1220C4×Q8—221no—
1221C4×Q8—221no—
1222C4×Q8C22×D1111yescharacteristic
1223C4×Q8C22×D1111yescharacteristic
1224C4×D4—111no—
1225C4×D4—111no—
1226C4×D4—111no—
1227C4×D4—111no—
1228C4×D4—111no—
1229C4×D4—111no—
1230C4×D4—111no—
1231C4×D4—111no—
1232C4×D4—111no—
1233C4×D4—111no—
1234C4×D4—111no—
1235C4×D4—111no—
1236C4×D4—111no—
1237C4×D4—111no—
1238C4×D4—221no—
1239C4×D4—221no—
1240C4×D4—221no—
1241C4×D4—221no—
1242C4×D4—221no—
1243C4×D4—221no—
1244C4×D4—221no—
1245C4×D4—221no—
1246C4×D4—221no—
1247C4×D4—221no—
1248C4×D4—221no—
1249C4×D4—221no—
1250C4×D4—221no—
1251C4×D4—221no—
1252C4×D4C22×D1111yescharacteristic
1253C4×D4C22×D1111yescharacteristic
1254#117—111no—
1255#117—111no—
1256#117—111no—
1257#117—111no—
1258#117—111no—
1259#117—221no—
1260#117—221no—
1261#117—221no—
1262#117—221no—
1263#117—221no—
1264#117—221no—
1265#117—221no—
1266#117—221no—
1267#117—221no—
1268#117C22×D1111yescharacteristic
1269C2×C4⋊C4—111no—
1270C2×C22⋊C4—221no—
1271C2×C22⋊C4—221no—
1272C2×C22⋊C4—221no—
1273C2×C22⋊C4—221no—
1274C2×C22⋊C4—221no—
1275C2×C42—111no—
1276C2×C42—111no—
1277C2×C42—111no—
1278C2×C42—221no—
1279#107—111no—
1280#107—111no—
1281#107—111no—
1282#107—111no—
1283#107—111no—
1284#107—111no—
1285#107—111no—
1286#107—111no—
1287#106—111no—
1288#106—111no—
1289#106—111no—
1290#106—111no—
1291#106C22×D1111yescharacteristic
1292#106C22×D1111yescharacteristic
1293#106C22×D1111yescharacteristic
1294#106C22×D1111yescharacteristic
1295C4⋊C8—111no—
1296C4⋊C8—111no—
1297C4⋊C8—111no—
1298C4⋊C8—111no—
1299C4⋊C8—111no—
1300C4⋊C8—111no—
1301C4⋊C8—111no—
1302C4⋊C8—111no—
1303C4⋊C8—111no—
1304C4⋊C8—111no—
1305C4⋊C8—111no—
1306C4⋊C8—111no—
1307C4⋊C8C22×D1111yescharacteristic
1308C4⋊C8C22×D1111yescharacteristic
1309C4⋊C8C22×D1111yescharacteristic
1310C4⋊C8C22×D1111yescharacteristic
1311#103—111no—
1312#103—111no—
1313#103—111no—
1314#103—111no—
1315#103—111no—
1316#103—111no—
1317#103—111no—
1318#103—111no—
1319#103C22×D1111yescharacteristic
1320#103C22×D1111yescharacteristic
1321#103C22×D1111yescharacteristic
1322#103C22×D1111yescharacteristic
1323#102—111no—
1324#102—111no—
1325#102—111no—
1326#102—111no—
1327#102—111no—
1328#102—111no—
1329#102—111no—
1330#102—111no—
1331#102—111no—
1332#102—111no—
1333#102—111no—
1334#102—111no—
1335#102—111no—
1336#102—111no—
1337#102—111no—
1338#102—111no—
1339#102C22×D1111yescharacteristic
1340#102C22×D1111yescharacteristic
1341#102C22×D1111yescharacteristic
1342#102C22×D1111yescharacteristic
1343C2×C11—41no—
1344C2×C11—81no—
1345C2×C11—81no—
1346C2×C11C2×#53711yescharacteristic
1347C2×C11#358411yescharacteristic
1348C2×C11#358511yescharacteristic
1349D11—22no—
1350D11—41no—
1351D11—81no—
1352D11—81no—
1353D11—81no—
1354C24—221no—
1355C24—221no—
1356#41—222no—
1357#41—222no—
1358#41—222no—
1359#41—222no—
1360#41—882no—
1361#41—882no—
1362C2×Q8—21no—
1363C2×Q8—21no—
1364C2×Q8—111no—
1365C2×Q8—111no—
1366C2×Q8—221no—
1367C2×Q8—221no—
1368C2×Q8—222no—
1369C2×Q8—222no—
1370C2×Q8—221no—
1371C2×Q8C23×D1111yescharacteristic
1372C2×Q8C23×D1111yescharacteristic
1373C2×D4—21no—
1374C2×D4—21no—
1375C2×D4—111no—
1376C2×D4—111no—
1377C2×D4—111no—
1378C2×D4—111no—
1379C2×D4—111no—
1380C2×D4—111no—
1381C2×D4—221no—
1382C2×D4—221no—
1383C2×D4—221no—
1384C2×D4—221no—
1385C2×D4—222no—
1386C2×D4—222no—
1387C2×D4—222no—
1388C2×D4—222no—
1389C2×D4—221no—
1390C2×D4—221no—
1391C2×D4—221no—
1392C2×D4—221no—
1393C2×D4—221no—
1394C2×D4—221no—
1395C2×D4—221no—
1396C2×D4—221no—
1397C2×D4—221no—
1398C2×D4—221no—
1399C2×D4—221no—
1400C2×D4C23×D1111yescharacteristic
1401C2×D4C23×D1111yescharacteristic
1402C22×C4—21no—
1403C22×C4—21no—
1404C22×C4—111no—
1405C22×C4—111no—
1406C22×C4—111no—
1407C22×C4—111no—
1408C22×C4—111no—
1409C22×C4—111no—
1410C22×C4—111no—
1411C22×C4—111no—
1412C22×C4—221no—
1413C22×C4—221no—
1414C22×C4—221no—
1415C22×C4—221no—
1416C22×C4—221no—
1417C22×C4—221no—
1418C22×C4—221no—
1419C22×C4—221no—
1420C22×C4—221no—
1421C22×C4—221no—
1422C22×C4—221no—
1423C22×C4—882no—
1424C22×C4C23×D1111yescharacteristic
1425Q16—41no—
1426Q16—441no—
1427SD16—41no—
1428SD16—41no—
1429SD16—441no—
1430SD16—441no—
1431SD16—441no—
1432SD16—441no—
1433SD16—441no—
1434SD16—441no—
1435D8—41no—
1436D8—441no—
1437D8—441no—
1438D8—441no—
1439D8—441no—
1440D8—441no—
1441M16—41no—
1442M16—222no—
1443M16—222no—
1444M16—441no—
1445M16—441no—
1446M16—441no—
1447C2×C8—41no—
1448C2×C8—111no—
1449C2×C8—111no—
1450C2×C8—111no—
1451C2×C8—111no—
1452C2×C8—222no—
1453C2×C8—222no—
1454C2×C8—441no—
1455C2×C8—441no—
1456C2×C8—441no—
1457C2×C8C23×D1111yescharacteristic
1458C2×C8C23×D1111yescharacteristic
1459C2×C8C23×D1111yescharacteristic
1460C2×C8C23×D1111yescharacteristic
1461C4⋊C4—21no—
1462C4⋊C4—21no—
1463C4⋊C4—21no—
1464C4⋊C4—21no—
1465C4⋊C4—21no—
1466C4⋊C4—21no—
1467C4⋊C4—111no—
1468C4⋊C4—111no—
1469C4⋊C4—111no—
1470C4⋊C4—111no—
1471C4⋊C4—111no—
1472C4⋊C4—111no—
1473C4⋊C4—111no—
1474C4⋊C4—111no—
1475C4⋊C4—221no—
1476C4⋊C4—221no—
1477C4⋊C4—221no—
1478C4⋊C4—221no—
1479C4⋊C4—221no—
1480C4⋊C4—221no—
1481C4⋊C4—221no—
1482C4⋊C4—221no—
1483C4⋊C4—221no—
1484C4⋊C4—221no—
1485C4⋊C4—221no—
1486C4⋊C4—221no—
1487C4⋊C4—221no—
1488C4⋊C4—221no—
1489C4⋊C4—221no—
1490C4⋊C4—221no—
1491C4⋊C4—221no—
1492C4⋊C4—221no—
1493C4⋊C4—221no—
1494C4⋊C4D4×D1111yescharacteristic
1495C4⋊C4D4×D1111yescharacteristic
1496C4⋊C4C23×D1111yescharacteristic
1497C4⋊C4C23×D1111yescharacteristic
1498C4⋊C4C23×D1111yescharacteristic
1499C4⋊C4C23×D1111yescharacteristic
1500C22⋊C4—21no—
1501C22⋊C4—21no—
1502C22⋊C4—21no—
1503C22⋊C4—21no—
1504C22⋊C4—21no—
1505C22⋊C4—21no—
1506C22⋊C4—21no—
1507C22⋊C4—21no—
1508C22⋊C4—21no—
1509C22⋊C4—21no—
1510C22⋊C4—111no—
1511C22⋊C4—111no—
1512C22⋊C4—111no—
1513C22⋊C4—111no—
1514C22⋊C4—221no—
1515C22⋊C4—221no—
1516C22⋊C4—221no—
1517C22⋊C4—221no—
1518C22⋊C4—221no—
1519C22⋊C4—221no—
1520C22⋊C4—221no—
1521C22⋊C4—221no—
1522C22⋊C4—221no—
1523C22⋊C4—221no—
1524C22⋊C4—221no—
1525C22⋊C4—221no—
1526C22⋊C4—221no—
1527C22⋊C4—221no—
1528C22⋊C4—221no—
1529C22⋊C4—221no—
1530C22⋊C4—221no—
1531C22⋊C4—221no—
1532C22⋊C4—221no—
1533C22⋊C4—221no—
1534C22⋊C4—221no—
1535C22⋊C4—221no—
1536C22⋊C4—221no—
1537C22⋊C4—221no—
1538C22⋊C4—221no—
1539C22⋊C4—221no—
1540C22⋊C4—221no—
1541C22⋊C4—221no—
1542C22⋊C4—221no—
1543C22⋊C4—221no—
1544C22⋊C4—221no—
1545C22⋊C4D4×D1111yescharacteristic
1546C22⋊C4D4×D1111yescharacteristic
1547C42—21no—
1548C42—21no—
1549C42—111no—
1550C42—111no—
1551C42—111no—
1552C42—111no—
1553C42—111no—
1554C42—111no—
1555C42—111no—
1556C42—111no—
1557C42—221no—
1558C42—221no—
1559C42—221no—
1560C42—221no—
1561C42—221no—
1562C42—221no—
1563C42—221no—
1564C42C23×D1111yescharacteristic
1565C42C23×D1111yescharacteristic
1566C11#6092611yescharacteristic, complemented, Sylow
1567C23—21no—
1568C23—21no—
1569C23—111no—
1570C23—111no—
1571C23—221no—
1572C23—221no—
1573C23—221no—
1574C23—442no—
1575C23—442no—
1576C23—881no—
1577C23—881no—
1578C23—881no—
1579C23—881no—
1580C23C2×D4×D1111yescharacteristic
1581Q8—21no—
1582Q8—21no—
1583Q8—21no—
1584Q8—21no—
1585Q8—81no—
1586Q8—81no—
1587Q8—222no—
1588Q8—221no—
1589Q8—221no—
1590Q8—442no—
1591Q8—881no—
1592Q8—881no—
1593D4—21no—
1594D4—21no—
1595D4—21no—
1596D4—21no—
1597D4—81no—
1598D4—81no—
1599D4—222no—
1600D4—222no—
1601D4—222no—
1602D4—221no—
1603D4—221no—
1604D4—221no—
1605D4—221no—
1606D4—221no—
1607D4—221no—
1608D4—442no—
1609D4—442no—
1610D4—442no—
1611D4—881no—
1612D4—881no—
1613D4—881no—
1614D4—881no—
1615D4—881no—
1616D4—881no—
1617D4—881no—
1618D4—881no—
1619D4—881no—
1620D4—881no—
1621D4—881no—
1622D4—881no—
1623C2×C4—21no—
1624C2×C4—21no—
1625C2×C4—21no—
1626C2×C4—21no—
1627C2×C4—21no—
1628C2×C4—21no—
1629C2×C4—21no—
1630C2×C4—21no—
1631C2×C4—81no—
1632C2×C4—81no—
1633C2×C4—111no—
1634C2×C4—112no—
1635C2×C4—112no—
1636C2×C4—111no—
1637C2×C4—111no—
1638C2×C4—111no—
1639C2×C4—111no—
1640C2×C4—111no—
1641C2×C4—221no—
1642C2×C4—221no—
1643C2×C4—221no—
1644C2×C4—221no—
1645C2×C4—221no—
1646C2×C4—221no—
1647C2×C4—221no—
1648C2×C4—441no—
1649C2×C4—441no—
1650C2×C4—441no—
1651C2×C4—441no—
1652C2×C4—442no—
1653C2×C4—442no—
1654C2×C4—442no—
1655C2×C4—442no—
1656C2×C4—441no—
1657C2×C4—441no—
1658C2×C4—442no—
1659C2×C4—881no—
1660C2×C4—881no—
1661C2×C4—881no—
1662C2×C4—881no—
1663C2×C4—881no—
1664C2×C4—881no—
1665C2×C4C2×D4×D1111yescharacteristic
1666C2×C4C2×D4×D1111yescharacteristic
1667C2×C4C2×D4×D1111yescharacteristic
1668C2×C4C2×D4×D1111yescharacteristic
1669C2×C4C2×D4×D1111yescharacteristic
1670C2×C4C24×D1111yescharacteristic
1671C8—21no—
1672C8—21no—
1673C8—21no—
1674C8—21no—
1675C8—221no—
1676C8—221no—
1677C8—221no—
1678C8—221no—
1679C22—21no—
1680C22—21no—
1681C22—21no—
1682C22—41no—
1683C22—41no—
1684C22—41no—
1685C22—41no—
1686C22—41no—
1687C22—41no—
1688C22—112no—
1689C22—221no—
1690C22—221no—
1691C22—221no—
1692C22—221no—
1693C22—221no—
1694C22—441no—
1695C22—441no—
1696C22—441no—
1697C22—441no—
1698C22—441no—
1699C22—441no—
1700C22—441no—
1701C22—441no—
1702C22—441no—
1703C22—884no—
1704C22—1762no—
1705C22C22×D4×D1111yescharacteristic
1706C4—21no—
1707C4—21no—
1708C4—21no—
1709C4—21no—
1710C4—21no—
1711C4—41no—
1712C4—41no—
1713C4—41no—
1714C4—41no—
1715C4—41no—
1716C4—41no—
1717C4—112no—
1718C4—221no—
1719C4—221no—
1720C4—221no—
1721C4—221no—
1722C4—221no—
1723C4—441no—
1724C4—441no—
1725C4—441no—
1726C4—441no—
1727C4—441no—
1728C4D11×H(5,𝔽2)11yescharacteristic
1729C4D11×2−1+411yescharacteristic
1730C2—41no—
1731C2—81no—
1732C2—81no—
1733C2—222no—
1734C2—441no—
1735C2—881no—
1736C2—881no—
1737C2—881no—
1738C2D11×#53711yescharacteristic
1739C2#1308338811yescharacteristic
1740C2#1308339411yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3263C2
socleC22×C11C23×D4
hypercenter#3263D11
hypocenterC11#60926
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3263

Complements

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

NH ≅ G/Ntype
1. #13082508C2semidirect
2. #13082036C2semidirect
3. #13080085C2semidirect
4. #13080075C2semidirect
5. #13080072C2semidirect
6. #13080032C2semidirect
7. #13080029C2semidirect
8. #13080027C2semidirect
9. #13080026C2semidirect
10. #13080018C2semidirect
11. #13080014C2semidirect
12. #13079981C2semidirect
13. #13079971C2semidirect
14. #13079966C2semidirect
15. #13079964C2semidirect
16. #13079944C2semidirect
17. #13079937C2semidirect
18. #13078451C2semidirect
19. #13078442C2semidirect
20. #13078414C2semidirect
21. #13078399C2semidirect
22. #13078304C2semidirect
23. #13078289C2semidirect
24. #13078262C2semidirect
25. #13078250C2semidirect
26. #13078135C2semidirect
27. #13078117C2semidirect
28. #13078107C2semidirect
29. D11×#463C2semidirect
30. #13077183C2semidirect
31. C11×#3263C2semidirect
32. C11×#542C22semidirect
33. C11×#542C22semidirect
40. #10623264C22semidirect
43. #10623256C22semidirect
48. #10623213C22semidirect
50. #10623211C22semidirect
66. #10623155C22semidirect
67. #10623155C22semidirect
70. #10623131C22semidirect
71. #10623127C22semidirect
72. #10623113C22semidirect
73. #10623111C22semidirect
76. #10623093C22semidirect
77. #10623088C22semidirect
80. #10623066C22semidirect
81. #10623065C22semidirect
83. C11×#476C22semidirect
84. C11×#476C22semidirect
85. C11×#475C22semidirect
86. C11×#475C22semidirect
87. C11×#470C22semidirect
89. C11×#465C22semidirect
90. C11×#465C22semidirect
91. C11×#464C22semidirect
92. C11×#464C22semidirect
95. C11×#424C22semidirect
96. #10622801C22semidirect
97. #10622798C22semidirect
98. #10622798C22semidirect
99. #10622787C22semidirect
100. #10622784C22semidirect
101. #10622779C22semidirect
104. #10622776C22semidirect
109. #10622747C22semidirect
110. #10622731C22semidirect
111. #10622728C22semidirect
112. #10622727C22semidirect
113. C2×Dic11⋊C8C22semidirect
114. #10622704C22semidirect
115. #10622700C22semidirect
116. #10622700C22semidirect
117. #10622697C22semidirect
120. #10622670C22semidirect
121. #10622667C22semidirect
122. #10622664C22semidirect
123. #10622662C22semidirect
124. #10622662C22semidirect
125. #10622661C22semidirect
126. #10622655C22semidirect
127. #10622652C22semidirect
130. #10622641C22semidirect
131. #10622640C22semidirect
132. #10622635C22semidirect
133. #10622634C22semidirect
136. #10622622C22semidirect
137. #10622620C22semidirect
138. #10622612C22semidirect
139. #10622484C22semidirect
140. #10622484C22semidirect
141. #10622484C22semidirect
142. #10622484C22semidirect
143. #10622484C22semidirect
144. #10622483C22semidirect
146. #10622478C22semidirect
147. #10622477C22semidirect
148. #10622477C22semidirect
153. #10622470C22semidirect
154. #10622467C22semidirect
155. #10622461C22semidirect
156. #10622460C22semidirect
157. #10622459C22semidirect
159. #10622457C22semidirect
161. #10622455C22semidirect
164. #10622452C22semidirect
165. #10622452C22semidirect
167. #10622450C22semidirect
169. D11×C4⋊C8C22semidirect
170. #10622442C22semidirect
173. #10622432C22semidirect
174. #10622429C22semidirect
175. #10622425C22semidirect
176. #10622425C22semidirect
177. #10622420C22semidirect
182. #10622412C22semidirect
183. #10622412C22semidirect
184. #10622412C22semidirect
185. #10622411C22semidirect
186. #10622407C22semidirect
188. #10622400C22semidirect
190. #10622393C22semidirect
193. #10622388C22semidirect
198. #10622379C22semidirect
199. #10622379C22semidirect
200. #10622376C22semidirect
201. #10622375C22semidirect
202. #10622372C22semidirect
700. #3263D11semidirect
860. #542C2×D11semidirect
861. #542C2×D11semidirect
913. #476C2×D11semidirect
914. #476C2×D11semidirect
916. #475C2×D11semidirect
917. #475C2×D11semidirect
924. #470C2×D11semidirect
953. #465C2×D11semidirect
954. #465C2×D11semidirect
961. #464C2×D11semidirect
962. #464C2×D11semidirect
996. #424C2×D11semidirect
1566. C11#60926semidirect

Maximal subgroups

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

subgroupindex
#130825082
#130820362
#130800852
#130800752
#130800722
#130800322
#130800292
#130800272
#130800262
#130800182
#130800142
#130799812
#130799712
#130799662
#130799642
#130799442
#130799372
#130784512
#130784422
#130784142
#130783992
#130783042
#130782892
#130782622
#130782502
#130781352
#130781172
#130781072
D11×#4632
#130771832
C11×#32632
#6092611