Finite Group Databasebeta

← #15647536

Subgroups — #15647536

Order 2816.

1850 conjugacy classes of subgroups.

The subgroup lattice has 1788 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082991C211yesmaximal, characteristic, complemented
2#13082720C211yesmaximal, characteristic, complemented
3#13081654C211yesmaximal, characteristic, complemented
4#13081452C211yesmaximal, characteristic, complemented
5#13081347C211yesmaximal, characteristic, complemented
6#13080779C211yesmaximal, characteristic, complemented
7#13080762C211yesmaximal, characteristic, complemented
8#13080747C211yesmaximal, characteristic, complemented
9#13080599C211yesmaximal, characteristic, complemented
10#13080568C211yesmaximal, characteristic, complemented
11#13080458C211yesmaximal, characteristic, complemented
12#13080371C211yesmaximal, characteristic, complemented
13#13080322C211yesmaximal, characteristic, complemented
14#13080207C211yesmaximal, characteristic, complemented
15#13080170C211yesmaximal, characteristic, complemented
16#13080155C211yesmaximal, characteristic, complemented
17#13080117C211yesmaximal, characteristic, complemented
18#13080075C211yesmaximal, characteristic, complemented
19#13080025C211yesmaximal, characteristic, complemented
20#13079939C211yesmaximal, characteristic, complemented
21#13079703C211yesmaximal, characteristic, complemented
22#13079661C211yesmaximal, characteristic, complemented
23#13079650C211yesmaximal, characteristic, complemented
24#13078889C211yesmaximal, characteristic, complemented
25#13078849C211yesmaximal, characteristic, complemented
26#13078763C211yesmaximal, characteristic, complemented
27#13078156C211yesmaximal, characteristic, complemented
28#13078135C211yesmaximal, characteristic, complemented
29#13078072C211yesmaximal, characteristic, complemented
30#13077754C211yesmaximal, characteristic, complemented
31C11×#3401C211yesmaximal, characteristic, complemented
32C11×#559C2211yescharacteristic, complemented
33C11×#556C2211yescharacteristic
34C2×#66971C2211yescharacteristic, complemented
35C2×#66969C2211yescharacteristic, complemented
36C2×#66969C2211yescharacteristic, complemented
37C2×#66969C2211yescharacteristic, complemented
38C2×SD16×D11C2211yescharacteristic
39C2×#66964C2211yescharacteristic
40#10623257C2211yescharacteristic
41#10623256C2211yescharacteristic
42#10623250C2211yescharacteristic, complemented
43#10623249C2211yescharacteristic, complemented
44#10623242—21no—
45#10623242—21no—
46#10623235—21no—
47#10623235—21no—
48#10623213C2211yescharacteristic, complemented
49#10623211C2211yescharacteristic, complemented
50#10623208C2211yescharacteristic
51#10623208C2211yescharacteristic, complemented
52#10623207C2211yescharacteristic
53#10623207C2211yescharacteristic
54#10623205C2211yescharacteristic
55#10623205C2211yescharacteristic
56#10623201—21no—
57#10623200—21no—
58#10623195—21no—
59#10623194—21no—
60#10623181—21no—
61#10623180—21no—
62#10623161—21no—
63#10623160—21no—
64#10623113C2211yescharacteristic
65#10623113C2211yescharacteristic
66#10623112C2211yescharacteristic, complemented
67#10623111C2211yescharacteristic
68#10623108C2211yescharacteristic
69#10623108C2211yescharacteristic
70#10623108C2211yescharacteristic
71#10623103C2211yescharacteristic, complemented
72#10623098C2211yescharacteristic, complemented
73#10623094C2211yescharacteristic, complemented
74#10623089C2211yescharacteristic
75D4×D44C2211yescharacteristic
76#10623079C2211yescharacteristic
77#10623077C2211yescharacteristic, complemented
78#10623071—21no—
79#10623069—21no—
80C4×#4341C2211yescharacteristic, complemented
81#10623061—21no—
82#10623056—21no—
83C11×#497C2211yescharacteristic, complemented
84C11×#496C2211yescharacteristic
85C11×#495C2211yescharacteristic
86C11×#464C2211yescharacteristic
87C11×#464C2211yescharacteristic, complemented
88C11×#463C2211yescharacteristic
89C11×#463C2211yescharacteristic
90C11×#461C2211yescharacteristic, complemented
91C11×#460C2211yescharacteristic, complemented
92C11×#446C2211yescharacteristic, complemented
93C11×#442C2211yescharacteristic
94C11×#441C2211yescharacteristic, complemented
95C4×C11×SD16C2211yescharacteristic, complemented
96#10622801C2211yescharacteristic, complemented
97#10622800C2211yescharacteristic, complemented
98#10622800C2211yescharacteristic, complemented
99#10622800C2211yescharacteristic, complemented
100#10622799C2211yescharacteristic, complemented
101#10622798C2211yescharacteristic, complemented
102#10622798C2211yescharacteristic, complemented
103#10622787C2211yescharacteristic, complemented
104#10622787C2211yescharacteristic, complemented
105#10622786C2211yescharacteristic, complemented
106#10622785C2211yescharacteristic, complemented
107#10622785C2211yescharacteristic, complemented
108#10622785C2211yescharacteristic, complemented
109#10622785C2211yescharacteristic, complemented
110#10622785C2211yescharacteristic, complemented
111#10622784C2211yescharacteristic
112#10622784C2211yescharacteristic, complemented
113#10622782C2211yescharacteristic
114#10622778C2211yescharacteristic, complemented
115#10622778C2211yescharacteristic, complemented
116#10622778C2211yescharacteristic, complemented
117#10622778C2211yescharacteristic, complemented
118#10622776C2211yescharacteristic
119#10622771C2211yescharacteristic
120#10622770C2211yescharacteristic
121#10622769C2211yescharacteristic
122#10622769C2211yescharacteristic
123#10622769C2211yescharacteristic
124#10622763C2211yescharacteristic
125#10622763C2211yescharacteristic
126#10622703C2211yescharacteristic, complemented
127#10622695C2211yescharacteristic, complemented
128#10622686C2211yescharacteristic, complemented
129#10622685C2211yescharacteristic, complemented
130#10622671C2211yescharacteristic
131#10622671C2211yescharacteristic, complemented
132#10622670C2211yescharacteristic, complemented
133#10622670C2211yescharacteristic, complemented
134#10622669C2211yescharacteristic
135#10622668C2211yescharacteristic
136#10622667C2211yescharacteristic
137#10622667C2211yescharacteristic
138#10622643C2211yescharacteristic, complemented
139C4×#4326C2211yescharacteristic, complemented
140#10622640C2211yescharacteristic, complemented
141C4×#4325C2211yescharacteristic, complemented
142#10622637C2211yescharacteristic, complemented
143#10622635C2211yescharacteristic, complemented
144#10622634C2211yescharacteristic, complemented
145#10622631C2211yescharacteristic
146#10622628C2211yescharacteristic
147#10622628C2211yescharacteristic, complemented
148#10622627C2211yescharacteristic, complemented
149#10622627C2211yescharacteristic, complemented
150#10622622C2211yescharacteristic
151#10622479C2211yescharacteristic
152#10622479C2211yescharacteristic, complemented
153#10622476C2211yescharacteristic
154#10622467C2211yescharacteristic, complemented
155#10622461C2211yescharacteristic
156#10622461C2211yescharacteristic, complemented
157#10622461C2211yescharacteristic, complemented
158#10622460C2211yescharacteristic, complemented
159#10622460C2211yescharacteristic, complemented
160#10622459C2211yescharacteristic, complemented
161#10622452C2211yescharacteristic, complemented
162#10622452C2211yescharacteristic, complemented
163#10622449C2211yescharacteristic
164#10622449C2211yescharacteristic, complemented
165#10622447C2211yescharacteristic, complemented
166D11×C4⋊C8C2211yescharacteristic, complemented
167#10622427C2211yescharacteristic, complemented
168#10622425C2211yescharacteristic
169#10622420C2211yescharacteristic, complemented
170#10622419C2211yescharacteristic
171#10622418C2211yescharacteristic, complemented
172#10622417C2211yescharacteristic, complemented
173#10622417C2211yescharacteristic, complemented
174#10622417C2211yescharacteristic, complemented
175#10622416C2211yescharacteristic, complemented
176#10622411C2211yescharacteristic, complemented
177#10622411C2211yescharacteristic, complemented
178#10622407C2211yescharacteristic, complemented
179#10622397C2211yescharacteristic
180#10622395C2211yescharacteristic
181#10622394C2211yescharacteristic
182#10622394C2211yescharacteristic, complemented
183#10622388C2211yescharacteristic
184#10622388C2211yescharacteristic
185#10622388C2211yescharacteristic, complemented
186#10622383C2211yescharacteristic
187D11×#102C2211yescharacteristic
188#10622375C2211yescharacteristic
189#10622374C2211yescharacteristic, complemented
190#10622372C2211yescharacteristic, complemented
191#10622326C2211yescharacteristic
192#10622326C2211yescharacteristic, complemented
193#10622323C2211yescharacteristic, complemented
194#10622323C2211yescharacteristic, complemented
195#10622322C2211yescharacteristic, complemented
196#10622319C2211yescharacteristic
197#10622319C2211yescharacteristic, complemented
198#10622318C2211yescharacteristic, complemented
199#10622307C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic, complemented
202C8×D44C2211yescharacteristic, complemented
203C2×#4343—21no—
204C2×#4343C2311yescharacteristic
205C2×#4343C2311yescharacteristic
206C2×#4343C2311yescharacteristic
207C2×#4343C2311yescharacteristic
208C2×Q8×D11C2311yescharacteristic
209C2×#4341C2311yescharacteristic
210C2×#4341C2311yescharacteristic
211C2×D4×D11C2311yescharacteristic
212C2×D4×D11C2311yescharacteristic
213C2×#4339—21no—
214C22×D44—21no—
215C2×C11×Q16C2311yescharacteristic
216C2×C11×Q16C2311yescharacteristic
217C2×C11×SD16C2311yescharacteristic
218C2×C11×SD16C2311yescharacteristic
219C2×C11×SD16C2311yescharacteristic
220C2×C11×SD16C2311yescharacteristic
221C2×C11×SD16C2311yescharacteristic
222C2×C11×D8C2311yescharacteristic
223C2×C11×D8C2311yescharacteristic
224C11×C4⋊Q8C2311yescharacteristic
225C11×#127C2311yescharacteristic
226C11×#126—21no—
227C11×#126—21no—
228C11×#124—21no—
229C11×#124C2311yescharacteristic
230C11×#124C2311yescharacteristic
231C11×#124C2311yescharacteristic
232C11×#124C2311yescharacteristic
233C11×#123—21no—
234C11×#123—21no—
235C11×C22⋊Q8—21no—
236C4×Q8×C11C2311yescharacteristic
237C4×Q8×C11C2311yescharacteristic
238C4×Q8×C11C2311yescharacteristic
239C4×Q8×C11C2311yescharacteristic
240C4×D4×C11—21no—
241C4×D4×C11C2311yescharacteristic
242C4×D4×C11C2311yescharacteristic
243C4×D4×C11C2311yescharacteristic
244C11×#117—21no—
245#67000D411yescharacteristic
246#67000C2311yescharacteristic
247#67000C2311yescharacteristic
248#66999D411yescharacteristic
249#66999C2311yescharacteristic
250#66999C2311yescharacteristic
251#66999C2311yescharacteristic
252#66999C2311yescharacteristic
253Q8×Dic11C2311yescharacteristic
254#66997—21no—
255C2×#4326C2311yescharacteristic
256C2×#4326C2311yescharacteristic
257C2×#4325C2311yescharacteristic
258C2×#4325C2311yescharacteristic
259C2×#4325C2311yescharacteristic
260#66993—21no—
261#66993C2311yescharacteristic
262#66992—21no—
263#66992—21no—
264#66992—21no—
265#66992—21no—
266#66991C2311yescharacteristic
267#66991C2311yescharacteristic
268#66991C2311yescharacteristic
269#66991C2311yescharacteristic
270#66991C2311yescharacteristic
271#66988—21no—
272#66988—21no—
273D4×Dic11—21no—
274D4×Dic11C2311yescharacteristic
275D4×Dic11C2311yescharacteristic
276C2×#4324C2311yescharacteristic
277C2×#4323C2311yescharacteristic
278C2×#4323C2311yescharacteristic
279C2×#4323C2311yescharacteristic
280C2×#4323C2311yescharacteristic
281C2×#4323C2311yescharacteristic
282C2×#4323C2311yescharacteristic
283#66983—21no—
284#66983—21no—
285#66982—21no—
286C4×C22⋊D11—21no—
287C4×C22⋊D11—21no—
288C4×C22⋊D11—21no—
289C4×C22⋊D11—21no—
290#66979—21no—
291C2×Dic11⋊C4—21no—
292C2×C4×Dic11—21no—
293#66971—42no—
294#66969—42no—
295#66969—42no—
296#66969—42no—
297SD16×D11—42no—
298#66964—42no—
299C2×#4314C2311yescharacteristic
300C2×#4314C2311yescharacteristic
301C2×#4314C2311yescharacteristic
302C2×#4313C2311yescharacteristic
303C2×#4313C2311yescharacteristic
304C2×C8×D11C2311yescharacteristic
305C2×C8×D11C2311yescharacteristic
306C2×C8×D11C2311yescharacteristic
307C2×C8×D11C2311yescharacteristic
308#66951D411yescharacteristic
309#66951D411yescharacteristic
310#66949—21no—
311#66949—21no—
312#66948—21no—
313#66948—21no—
314#66948—21no—
315#66948—21no—
316#66948—21no—
317#66948—21no—
318#66948—21no—
319#66948—21no—
320#66948—21no—
321#66948—21no—
322#66948D411yescharacteristic
323#66948C2311yescharacteristic
324#66948C2311yescharacteristic
325#66948C2311yescharacteristic
326#66947—21no—
327#66947—21no—
328#66947—21no—
329#66947—21no—
330#66947—21no—
331#66947D411yescharacteristic
332#66947D411yescharacteristic
333#66946—21no—
334#66946—21no—
335#66945—21no—
336#66945C2311yescharacteristic
337#66945C2311yescharacteristic
338C4⋊C4×D11—21no—
339C4⋊C4×D11C2311yescharacteristic
340#66943D411yescharacteristic
341#66942—21no—
342#66942—21no—
343#66942—21no—
344#66941C2311yescharacteristic
345#66940—21no—
346#66940—21no—
347#66940C2311yescharacteristic
348#66939—21no—
349#66938—21no—
350#66938—21no—
351#66938—21no—
352#66938—21no—
353#66938—21no—
354#66938—21no—
355#66937—21no—
356#66937—21no—
357#66937—21no—
358#66937—21no—
359#66937—21no—
360#66937—21no—
361#66937—21no—
362#66937—21no—
363#66937—21no—
364#66937—21no—
365#66936—21no—
366#66936—21no—
367#66936—21no—
368#66935—21no—
369#66935—21no—
370#66935—21no—
371#66935—21no—
372#66935—21no—
373#66935—21no—
374#66935—21no—
375#66935—21no—
376(C22⋊D11)⋊C4—21no—
377(C22⋊D11)⋊C4—21no—
378(C22⋊D11)⋊C4—21no—
379(C22⋊D11)⋊C4—21no—
380(C22⋊D11)⋊C4—21no—
381C22⋊C4×D11—21no—
382C22⋊C4×D11—21no—
383#66932—21no—
384#66932—21no—
385#66932—21no—
386#66931—21no—
387#66931—21no—
388#66931—21no—
389#66930—21no—
390#66930—21no—
391#66930—21no—
392#66929—21no—
393#66929—21no—
394#66929—21no—
395#66928—21no—
396#66928—21no—
397#66927—21no—
398#66927—21no—
399#66927C2311yescharacteristic
400#66927C2311yescharacteristic
401#66927C2311yescharacteristic
402C4×D44—21no—
403C4×D44—21no—
404C4×D44C2311yescharacteristic
405C4×D44C2311yescharacteristic
406C4×D44C2311yescharacteristic
407C4×D44C2311yescharacteristic
408C4×D44C2311yescharacteristic
409C4×D44C2311yescharacteristic
410#66925—21no—
411#66925—21no—
412#66925C2311yescharacteristic
413#66925C2311yescharacteristic
414C42×D11C2311yescharacteristic
415#66923C2311yescharacteristic
416#66923C2311yescharacteristic
417#66922C2311yescharacteristic
418C4×Dic22—21no—
419C4×Dic22C2311yescharacteristic
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×#106C2311yescharacteristic
423C11×C4⋊C8C2311yescharacteristic
424C11×C4⋊C8C2311yescharacteristic
425C11×C4⋊C8C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#103C2311yescharacteristic
428C11×#103C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#97C2311yescharacteristic
433C11×#97C2311yescharacteristic
434C4×C8×C11C2311yescharacteristic
435#66899C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66899C2311yescharacteristic
439#66899C2311yescharacteristic
440#66899C2311yescharacteristic
441#66899C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446#66896C2311yescharacteristic
447#66885C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451#66885C2311yescharacteristic
452#66885C2311yescharacteristic
453#66885C2311yescharacteristic
454#66885C2311yescharacteristic
455#66885C2311yescharacteristic
456(C2×D11)⋊C8C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462#66882C2311yescharacteristic
463#66882C2311yescharacteristic
464#66881C2311yescharacteristic
465#66880C2311yescharacteristic
466Dic11⋊C8C2311yescharacteristic
467Dic11⋊C8C2311yescharacteristic
468Dic11⋊C8C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470#66874C2311yescharacteristic
471#66873C2311yescharacteristic
472#66873C2311yescharacteristic
473#66873C2311yescharacteristic
474#66872C2311yescharacteristic
475#66872C2311yescharacteristic
476#66871C2311yescharacteristic
477#66871C2311yescharacteristic
478C4⋊(C11⋊C8)C2311yescharacteristic
479C4⋊(C11⋊C8)C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481#66867C2311yescharacteristic
482#66867C2311yescharacteristic
483C4×C11⋊C8C2311yescharacteristic
484#62026—111nomaximal, Sylow
485C23×D11—21no—
486C23×D11—21no—
487C2×Q8×C11C2×D411yescharacteristic
488C2×Q8×C11C2411yescharacteristic
489C2×Q8×C11C2411yescharacteristic
490C2×Q8×C11C2411yescharacteristic
491C2×D4×C11—21no—
492C2×D4×C11—21no—
493C2×D4×C11C2411yescharacteristic
494C2×D4×C11C2411yescharacteristic
495C2×D4×C11C2411yescharacteristic
496C22×C4×C11—21no—
497C22×C4×C11—21no—
498C22×C4×C11—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⋊D11—21no—
508C2×C22⋊D11—21no—
509C2×C22⋊D11—21no—
510C22×Dic11—21no—
511C22×Dic11—21no—
512C22×Dic11—21no—
513C22×Dic11—21no—
514#4343—41no—
515#4343—41no—
516#4343—41no—
517#4343—41no—
518#4343—41no—
519#4343—41no—
520#4343—41no—
521#4343—41no—
522#4343—82no—
523Q8×D11—22no—
524Q8×D11—41no—
525#4341—22no—
526#4341—22no—
527#4341—41no—
528#4341—41no—
529D4×D11—41no—
530D4×D11—41no—
531D4×D11—41no—
532D4×D11—41no—
533#4339—82no—
534C2×D44—21no—
535C2×D44—21no—
536C2×D44—21no—
537C2×D44—21no—
538C2×D44—21no—
539C2×D44—21no—
540C2×D44—21no—
541C2×D44—21no—
542C2×D44—21no—
543C2×D44—21no—
544C2×D44—21no—
545C2×D44—21no—
546C2×D44—21no—
547C2×D44—82no—
548C2×D44C2×D411yescharacteristic
549C2×D44C2×D411yescharacteristic
550C2×D44C2×D411yescharacteristic
551C2×D44C2411yescharacteristic
552C2×D44C2411yescharacteristic
553C2×D44C2411yescharacteristic
554C2×C4×D11—21no—
555C2×C4×D11—21no—
556C2×C4×D11—21no—
557C2×C4×D11—21no—
558C2×C4×D11—21no—
559C2×C4×D11—21no—
560C2×C4×D11—21no—
561C2×C4×D11—21no—
562C2×C4×D11—21no—
563C2×C4×D11C2×D411yescharacteristic
564C2×C4×D11C2×D411yescharacteristic
565C2×C4×D11C2411yescharacteristic
566C2×C4×D11C2411yescharacteristic
567C2×C4×D11C2411yescharacteristic
568C2×Dic22—21no—
569C2×Dic22—21no—
570C2×Dic22—21no—
571C2×Dic22C2411yescharacteristic
572C11×Q16—41no—
573C11×Q16—41no—
574C11×SD16—41no—
575C11×SD16—41no—
576C11×SD16—41no—
577C11×SD16—41no—
578C11×SD16—41no—
579C11×D8—41no—
580C11×D8—41no—
581C2×C8×C11C2411yescharacteristic
582C2×C8×C11C2411yescharacteristic
583C2×C8×C11C2411yescharacteristic
584C2×C8×C11C2411yescharacteristic
585C11×C4⋊C4—21no—
586C11×C4⋊C4—21no—
587C11×C4⋊C4—21no—
588C11×C4⋊C4—21no—
589C11×C4⋊C4—21no—
590C11×C4⋊C4C2×D411yescharacteristic
591C11×C4⋊C4C2×D411yescharacteristic
592C11×C4⋊C4C2×D411yescharacteristic
593C11×C4⋊C4C2411yescharacteristic
594C11×C4⋊C4C2411yescharacteristic
595C11×C22⋊C4—21no—
596C11×C22⋊C4—21no—
597C11×C22⋊C4—21no—
598C11×C22⋊C4—21no—
599C11×C22⋊C4—21no—
600C11×C22⋊C4—21no—
601C11×C22⋊C4—21no—
602C11×C22⋊C4—21no—
603C11×C22⋊C4—21no—
604C11×C22⋊C4—21no—
605C11×C22⋊C4—21no—
606C42×C11—21no—
607C42×C11—21no—
608C42×C11—21no—
609C42×C11C2411yescharacteristic
610C42×C11C2411yescharacteristic
611C42×C11C2411yescharacteristic
612C22⋊Dic11—21no—
613C22⋊Dic11—21no—
614C22⋊Dic11—21no—
615C22⋊Dic11—21no—
616C22⋊Dic11—21no—
617C22⋊Dic11—21no—
618C22⋊Dic11—21no—
619#4326—22no—
620#4326—22no—
621#4325—41no—
622#4325—41no—
623#4325—41no—
624#4324—22no—
625#4323—41no—
626#4323—41no—
627#4323—41no—
628#4323—41no—
629#4323—41no—
630#4323—41no—
631(C2×D11)⋊C4—21no—
632(C2×D11)⋊C4—21no—
633(C2×D11)⋊C4—21no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4—21no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4—21no—
638(C2×D11)⋊C4—21no—
639(C2×D11)⋊C4—21no—
640(C2×D11)⋊C4—21no—
641(C2×D11)⋊C4—21no—
642(C2×D11)⋊C4—21no—
643(C2×D11)⋊C4—21no—
644(C2×D11)⋊C4—21no—
645(C2×D11)⋊C4—21no—
646(C2×D11)⋊C4—21no—
647(C2×D11)⋊C4C2×D411yescharacteristic
648(C2×D11)⋊C4C2×D411yescharacteristic
649(C2×D11)⋊C4C2×D411yescharacteristic
650(C2×D11)⋊C4C2×D411yescharacteristic
651(C2×D11)⋊C4C2×D411yescharacteristic
652(C2×D11)⋊C4C2×D411yescharacteristic
653(C2×D11)⋊C4C2×D411yescharacteristic
654(C2×D11)⋊C4C2×D411yescharacteristic
655(C2×D11)⋊C4C2×D411yescharacteristic
656(C2×D11)⋊C4C2×D411yescharacteristic
657C4⋊Dic11—21no—
658C4⋊Dic11—21no—
659C4⋊Dic11C2×D411yescharacteristic
660C4⋊Dic11C2×D411yescharacteristic
661C4⋊Dic11C2×D411yescharacteristic
662C4⋊Dic11C2411yescharacteristic
663C4⋊Dic11C2411yescharacteristic
664C4⋊Dic11C2411yescharacteristic
665C4⋊Dic11C2411yescharacteristic
666Dic11⋊C4—21no—
667Dic11⋊C4—21no—
668Dic11⋊C4—21no—
669Dic11⋊C4—21no—
670Dic11⋊C4—21no—
671Dic11⋊C4—21no—
672Dic11⋊C4—21no—
673Dic11⋊C4—21no—
674Dic11⋊C4—21no—
675Dic11⋊C4—21no—
676Dic11⋊C4—21no—
677Dic11⋊C4—21no—
678Dic11⋊C4—21no—
679Dic11⋊C4—21no—
680Dic11⋊C4C2×D411yescharacteristic
681Dic11⋊C4C2×D411yescharacteristic
682Dic11⋊C4C2×D411yescharacteristic
683Dic11⋊C4C2×D411yescharacteristic
684C4×Dic11—21no—
685C4×Dic11—21no—
686C4×Dic11—21no—
687C4×Dic11—21no—
688C4×Dic11—21no—
689C4×Dic11—21no—
690C4×Dic11—21no—
691C4×Dic11C2×D411yescharacteristic
692C4×Dic11C2×D411yescharacteristic
693C4×Dic11C2411yescharacteristic
694C2×C11⋊C8C2411yescharacteristic
695C2×C11⋊C8C2411yescharacteristic
696C2×C11⋊C8C2411yescharacteristic
697C2×C11⋊C8C2411yescharacteristic
698#4314—22no—
699#4314—22no—
700#4314—22no—
701#4313—41no—
702#4313—41no—
703C8×D11—41no—
704C8×D11—41no—
705C8×D11—41no—
706C8×D11—41no—
707#3546—111no—
708#3524—111no—
709#3401D1111yescharacteristic, complemented
710#3399—111no—
711#3377—111no—
712#3368—111no—
713#3319—111no—
714#3318—111no—
715#3317—111no—
716#3307—111no—
717#3305—111no—
718#3296—111no—
719#3287—111no—
720#3282—111no—
721#3271—111no—
722#3269—111no—
723#3268—111no—
724#3265—111no—
725#3262—111no—
726#3257—111no—
727#3247—111no—
728#3224—111no—
729#3220—111no—
730#3219—111no—
731#3125—111no—
732#3121—111no—
733#3115—111no—
734#3045—111no—
735#3043—111no—
736#3035—111no—
737#2992—111no—
738C23×C11—21no—
739C23×C11—21no—
740C23×C11—21no—
741C22×D11—21no—
742C22×D11—21no—
743C22×D11—21no—
744C22×D11—81no—
745C22×D11—81no—
746C22×D11—81no—
747C22×D11—81no—
748C22×D11—81no—
749C22×D11—81no—
750C22×D11C22×D411yescharacteristic
751C22×D11C22×D411yescharacteristic
752C22×D11C22×D411yescharacteristic
753Q8×C11—21no—
754Q8×C11—21no—
755Q8×C11—21no—
756Q8×C11—21no—
757Q8×C11—21no—
758Q8×C11—21no—
759Q8×C11—41no—
760D4×C11—21no—
761D4×C11—21no—
762D4×C11—21no—
763D4×C11—21no—
764D4×C11—21no—
765D4×C11—21no—
766D4×C11—81no—
767D4×C11—81no—
768C2×C4×C11—21no—
769C2×C4×C11—21no—
770C2×C4×C11—21no—
771C2×C4×C11—21no—
772C2×C4×C11—21no—
773C2×C4×C11—42no—
774C2×C4×C11—81no—
775C2×C4×C11—81no—
776C2×C4×C11C22×D411yescharacteristic
777C2×C4×C11C22×D411yescharacteristic
778C2×C4×C11C22×D411yescharacteristic
779C2×C4×C11C22×D411yescharacteristic
780C2×C4×C11C22×D411yescharacteristic
781C2×C4×C11C22×D411yescharacteristic
782C2×C4×C11C2511yescharacteristic
783C22⋊D11—42no—
784C22⋊D11—42no—
785C22⋊D11—81no—
786C22⋊D11—81no—
787C22⋊D11—81no—
788C22⋊D11—81no—
789C22⋊D11—81no—
790C22⋊D11—81no—
791C22⋊D11—81no—
792C22⋊D11—81no—
793C22⋊D11—81no—
794C2×Dic11—21no—
795C2×Dic11—21no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—42no—
800C2×Dic11—42no—
801C2×Dic11—81no—
802C2×Dic11—81no—
803C2×Dic11C22×D411yescharacteristic
804C2×Dic11C22×D411yescharacteristic
805C2×Dic11C22×D411yescharacteristic
806C2×Dic11C22×D411yescharacteristic
807C2×Dic11C22×D411yescharacteristic
808D44—21no—
809D44—21no—
810D44—21no—
811D44—21no—
812D44—21no—
813D44—21no—
814D44—41no—
815D44—41no—
816D44—41no—
817D44—42no—
818D44—81no—
819D44—81no—
820D44—81no—
821D44—81no—
822D44—81no—
823D44—81no—
824D44—81no—
825D44—81no—
826D44—81no—
827D44—81no—
828D44—81no—
829D44—81no—
830C4×D11—21no—
831C4×D11—21no—
832C4×D11—21no—
833C4×D11—21no—
834C4×D11—21no—
835C4×D11—21no—
836C4×D11—41no—
837C4×D11—41no—
838C4×D11—42no—
839C4×D11—42no—
840C4×D11—81no—
841C4×D11—81no—
842C4×D11—81no—
843C4×D11—81no—
844C4×D11—81no—
845C4×D11—81no—
846C4×D11—81no—
847Dic22—21no—
848Dic22—42no—
849Dic22—81no—
850Dic22—81no—
851Dic22H(5,𝔽2)12yes—
852C8×C11—21no—
853C8×C11—21no—
854C8×C11—21no—
855C8×C11—21no—
856C11⋊C8—21no—
857C11⋊C8—21no—
858C11⋊C8—21no—
859C11⋊C8—21no—
860C2×#137—111no—
861C2×AGL(1,ℤ/8)—111no—
862C2×#135—111no—
863C2×#135—111no—
864C2×#135—111no—
865C22×SD16—111no—
866#560—221no—
867#560—221no—
868#559—221no—
869#559C2×D1111yescharacteristic, complemented
870#557—111no—
871#556C2×D1111yescharacteristic
872#555—111no—
873#555—221no—
874#553—111no—
875#553—221no—
876#553—221no—
877#552—111no—
878#552—221no—
879#550—111no—
880#550—111no—
881#550—111no—
882#550—111no—
883#548—111no—
884#548—111no—
885#547—111no—
886#546—111no—
887#546—111no—
888#546—221no—
889D42—111no—
890#542—111no—
891#542—111no—
892#542—111no—
893#542—221no—
894#540—111no—
895#540—221no—
896#538—221no—
897#538—221no—
898#537—221no—
899#535—111no—
900#535—111no—
901#535—221no—
902#532—111no—
903#532—111no—
904#529—111no—
905#529—111no—
906#529—221no—
907#529—221no—
908#520—111no—
909#519—111no—
910C4×#41—111no—
911#497C2×D1111yescharacteristic, complemented
912#496—111no—
913#496—111no—
914#496C2×D1111yescharacteristic
915#495C2×D1111yescharacteristic
916#493—111no—
917#491—111no—
918#490—111no—
919#490—111no—
920#489—111no—
921#488—111no—
922#486—111no—
923#485—111no—
924#483—111no—
925#482—111no—
926#482—111no—
927#482—111no—
928#481—111no—
929#479—111no—
930#478—111no—
931#478—111no—
932#478—111no—
933#477—111no—
934#477—111no—
935#476—111no—
936#475—111no—
937#474—111no—
938#474—111no—
939#469—111no—
940#468—111no—
941#468—111no—
942#468—111no—
943#467—111no—
944#466—111no—
945#466—111no—
946#466—111no—
947#466—111no—
948#465—111no—
949#465—111no—
950#465—111no—
951#464—111no—
952#464—111no—
953#464—111no—
954#464—111no—
955#464—111no—
956#464—111no—
957#464C2×D1111yescharacteristic
958#464C2×D1111yescharacteristic, complemented
959#463—111no—
960#463—111no—
961#463—111no—
962#463—111no—
963#463—111no—
964#463—111no—
965#463C2×D1111yescharacteristic
966#463C2×D1111yescharacteristic
967#462—111no—
968#461C2×D1111yescharacteristic, complemented
969#460—111no—
970#460—111no—
971#460—111no—
972#460—111no—
973#460—111no—
974#460—111no—
975#460C2×D1111yescharacteristic, complemented
976#459—111no—
977#459—111no—
978#459—111no—
979#459—111no—
980#459—111no—
981#452—111no—
982#452—111no—
983#452—111no—
984#452—111no—
985#451—111no—
986#450—111no—
987#449—111no—
988#449—111no—
989#449—111no—
990#449—111no—
991#449—111no—
992#449—111no—
993#449—111no—
994#449—111no—
995#448—111no—
996#447—111no—
997#447—111no—
998#447—111no—
999#446—111no—
1000#446C2×D1111yescharacteristic, complemented
1001#442—111no—
1002#442—111no—
1003#442C2×D1111yescharacteristic
1004#441—111no—
1005#441C2×D1111yescharacteristic, complemented
1006#440—111no—
1007#440—111no—
1008#440—111no—
1009C4×Q16—111no—
1010C4×SD16—111no—
1011C4×SD16—111no—
1012C4×SD16C2×D1111yescharacteristic, complemented
1013#435—111no—
1014#435—111no—
1015#435—111no—
1016#435—111no—
1017C8×D4—111no—
1018C8×D4—111no—
1019#433—111no—
1020#433—111no—
1021#432—111no—
1022#424—111no—
1023#424—111no—
1024C2×C4⋊C8—111no—
1025#418—111no—
1026#417—111no—
1027#416—111no—
1028#416—111no—
1029#416—111no—
1030C2×#102—111no—
1031C22×C11—41no—
1032C22×C11—41no—
1033C22×C11—41no—
1034C22×C11—41no—
1035C22×C11—41no—
1036C22×C11—41no—
1037C22×C11—41no—
1038C22×C11—41no—
1039C22×C11—41no—
1040C22×C11C23×D411yescharacteristic
1041C2×D11—21no—
1042C2×D11—21no—
1043C2×D11—21no—
1044C2×D11—21no—
1045C2×D11—21no—
1046C2×D11—21no—
1047C2×D11—21no—
1048C2×D11—21no—
1049C2×D11—21no—
1050C2×D11—41no—
1051C2×D11—41no—
1052C2×D11—41no—
1053C2×D11—41no—
1054C2×D11—41no—
1055C2×D11—41no—
1056C2×D11—41no—
1057C2×D11—41no—
1058C2×D11—41no—
1059C2×D11—162no—
1060C2×D11—162no—
1061C4×C11—21no—
1062C4×C11—21no—
1063C4×C11—21no—
1064C4×C11—21no—
1065C4×C11—21no—
1066C4×C11—21no—
1067C4×C11—41no—
1068C4×C11—41no—
1069C4×C11—41no—
1070C4×C11—41no—
1071C4×C11—41no—
1072C4×C11C2×H(5,𝔽2)11yescharacteristic
1073C4×C11#58511yescharacteristic
1074Dic11—21no—
1075Dic11—21no—
1076Dic11—22no—
1077Dic11—21no—
1078Dic11—21no—
1079Dic11—21no—
1080Dic11—41no—
1081Dic11—41no—
1082Dic11—41no—
1083Dic11—41no—
1084C2×#41—111no—
1085C2×#41—111no—
1086C2×#41—111no—
1087C2×#41—111no—
1088C2×#41—111no—
1089C2×#41—111no—
1090C2×#41—221no—
1091C2×#41—221no—
1092C22×Q8—111no—
1093C22×D4—111no—
1094C22×D4—111no—
1095C22×D4—221no—
1096#137—442no—
1097AGL(1,ℤ/8)—442no—
1098#135—442no—
1099#135—442no—
1100#135—442no—
1101C2×Q16—111no—
1102C2×Q16—111no—
1103C2×Q16C22×D1111yescharacteristic
1104C2×Q16C22×D1111yescharacteristic
1105C2×SD16—111no—
1106C2×SD16—111no—
1107C2×SD16—111no—
1108C2×SD16—111no—
1109C2×SD16—111no—
1110C2×SD16—111no—
1111C2×SD16—111no—
1112C2×SD16—442no—
1113C2×SD16C22×D1111yescharacteristic
1114C2×SD16C22×D1111yescharacteristic
1115C2×SD16C22×D1111yescharacteristic
1116C2×SD16C22×D1111yescharacteristic
1117C2×SD16C22×D1111yescharacteristic
1118C2×D8—111no—
1119C2×D8—111no—
1120C2×D8—111no—
1121C2×D8—111no—
1122C2×D8—111no—
1123C2×D8—111no—
1124C2×D8C22×D1111yescharacteristic
1125C2×D8C22×D1111yescharacteristic
1126C2×M16—111no—
1127C2×M16—111no—
1128C22×C8—111no—
1129C22×C8—111no—
1130C22×C8—111no—
1131C22×C8—111no—
1132C4⋊Q8—111no—
1133C4⋊Q8—111no—
1134C4⋊Q8—221no—
1135C4⋊Q8C22×D1111yescharacteristic
1136#127—111no—
1137#127—111no—
1138#127—111no—
1139#127—111no—
1140#127—221no—
1141#127—221no—
1142#127—221no—
1143#127C22×D1111yescharacteristic
1144#126—21no—
1145#126—21no—
1146#126—111no—
1147#126—111no—
1148#126—221no—
1149#126—221no—
1150#126—221no—
1151#126—221no—
1152#126—221no—
1153#126—221no—
1154#125—111no—
1155#125—111no—
1156#125—111no—
1157#125—221no—
1158#125—221no—
1159#125—221no—
1160#124—21no—
1161#124—111no—
1162#124—111no—
1163#124—111no—
1164#124—221no—
1165#124—221no—
1166#124—221no—
1167#124—221no—
1168#124—221no—
1169#124—221no—
1170#124—221no—
1171#124—221no—
1172#124C22×D1111yescharacteristic
1173#124C22×D1111yescharacteristic
1174#124C22×D1111yescharacteristic
1175#124C22×D1111yescharacteristic
1176#123—21no—
1177#123—21no—
1178#123—111no—
1179#123—111no—
1180#123—221no—
1181#123—221no—
1182#123—221no—
1183#123—221no—
1184#123—221no—
1185#123—221no—
1186#123—221no—
1187#123—221no—
1188#123—221no—
1189#123—221no—
1190#123—221no—
1191#123—221no—
1192C22⋊Q8—21no—
1193C22⋊Q8—111no—
1194C22⋊Q8—111no—
1195C22⋊Q8—111no—
1196C22⋊Q8—111no—
1197C22⋊Q8—111no—
1198C22⋊Q8—221no—
1199C22⋊Q8—221no—
1200C22⋊Q8—221no—
1201C22⋊Q8—221no—
1202C22⋊Q8—221no—
1203#121—111no—
1204#121—111no—
1205#121—111no—
1206#121—111no—
1207#121—111no—
1208#121—111no—
1209#121—111no—
1210#121—111no—
1211#121—111no—
1212#121—221no—
1213#121—221no—
1214#121—221no—
1215#121—221no—
1216#121—221no—
1217#121—221no—
1218#121—221no—
1219#121—221no—
1220#121—221no—
1221#121—221no—
1222#121—221no—
1223#121—221no—
1224#121—221no—
1225#121—221no—
1226#121—221no—
1227#121—221no—
1228#121—221no—
1229#121—221no—
1230#121—221no—
1231#121—221no—
1232#121—221no—
1233#121—221no—
1234#121—221no—
1235#121—221no—
1236#121—221no—
1237#121—221no—
1238#120—221no—
1239#120—221no—
1240#120—221no—
1241#120—221no—
1242#120—221no—
1243#120—221no—
1244#120—221no—
1245#120—221no—
1246C4×Q8—111no—
1247C4×Q8—111no—
1248C4×Q8—111no—
1249C4×Q8—111no—
1250C4×Q8—111no—
1251C4×Q8—221no—
1252C4×Q8—221no—
1253C4×Q8—221no—
1254C4×Q8C22×D1111yescharacteristic
1255C4×Q8C22×D1111yescharacteristic
1256C4×Q8C22×D1111yescharacteristic
1257C4×Q8C22×D1111yescharacteristic
1258C4×D4—21no—
1259C4×D4—111no—
1260C4×D4—111no—
1261C4×D4—111no—
1262C4×D4—111no—
1263C4×D4—111no—
1264C4×D4—111no—
1265C4×D4—111no—
1266C4×D4—111no—
1267C4×D4—221no—
1268C4×D4—221no—
1269C4×D4—221no—
1270C4×D4—221no—
1271C4×D4—221no—
1272C4×D4—221no—
1273C4×D4—221no—
1274C4×D4—221no—
1275C4×D4—221no—
1276C4×D4—221no—
1277C4×D4—221no—
1278C4×D4—221no—
1279C4×D4—221no—
1280C4×D4—221no—
1281C4×D4C22×D1111yescharacteristic
1282C4×D4C22×D1111yescharacteristic
1283C4×D4C22×D1111yescharacteristic
1284#117—21no—
1285#117—111no—
1286#117—111no—
1287#117—111no—
1288#117—111no—
1289#117—221no—
1290#117—221no—
1291#117—221no—
1292#117—221no—
1293#117—221no—
1294#117—221no—
1295#117—221no—
1296C2×C4⋊C4—111no—
1297C2×C4⋊C4—221no—
1298C2×C4⋊C4—221no—
1299C2×C22⋊C4—221no—
1300C2×C22⋊C4—221no—
1301C2×C42—111no—
1302C2×C42—221no—
1303#107—111no—
1304#107—111no—
1305#107—111no—
1306#107—111no—
1307#106—111no—
1308#106—111no—
1309#106—111no—
1310#106C22×D1111yescharacteristic
1311C4⋊C8—111no—
1312C4⋊C8—111no—
1313C4⋊C8—111no—
1314C4⋊C8—111no—
1315C4⋊C8—111no—
1316C4⋊C8—111no—
1317C4⋊C8—111no—
1318C4⋊C8C22×D1111yescharacteristic
1319C4⋊C8C22×D1111yescharacteristic
1320C4⋊C8C22×D1111yescharacteristic
1321#103—111no—
1322#103—111no—
1323#103—111no—
1324#103—111no—
1325#103—111no—
1326#103—111no—
1327#103—111no—
1328#103—111no—
1329#103—111no—
1330#103C22×D1111yescharacteristic
1331#103C22×D1111yescharacteristic
1332#103C22×D1111yescharacteristic
1333#102—111no—
1334#102—111no—
1335#102—111no—
1336#102—111no—
1337#102—111no—
1338#102—111no—
1339#102—111no—
1340#102—111no—
1341#102—111no—
1342#102—111no—
1343#102—111no—
1344#102—111no—
1345#102—111no—
1346#102—111no—
1347#102—111no—
1348#102—111no—
1349#102—111no—
1350#102C22×D1111yescharacteristic
1351#102C22×D1111yescharacteristic
1352#102C22×D1111yescharacteristic
1353C22⋊C8—111no—
1354C22⋊C8—111no—
1355C22⋊C8—111no—
1356C22⋊C8—111no—
1357C22⋊C8—111no—
1358C22⋊C8—111no—
1359#97—111no—
1360#97—111no—
1361#97C22×D1111yescharacteristic
1362#97C22×D1111yescharacteristic
1363C4×C8—111no—
1364C4×C8C22×D1111yescharacteristic
1365C2×C11—81no—
1366C2×C11—81no—
1367C2×C11—81no—
1368C2×C11#348811yescharacteristic
1369C2×C11#358411yescharacteristic
1370C2×C11#358511yescharacteristic
1371D11—41no—
1372D11—41no—
1373D11—41no—
1374D11—81no—
1375D11—81no—
1376D11—81no—
1377C24—221no—
1378C24—221no—
1379#41—222no—
1380#41—222no—
1381#41—441no—
1382#41—441no—
1383#41—441no—
1384#41—441no—
1385#41—441no—
1386#41—441no—
1387#41—441no—
1388#41—441no—
1389#41—441no—
1390#41—441no—
1391#41—882no—
1392#41—882no—
1393C2×Q8—111no—
1394C2×Q8—221no—
1395C2×Q8—221no—
1396C2×Q8—221no—
1397C2×Q8—222no—
1398C2×Q8—441no—
1399C2×Q8D4×D1111yescharacteristic
1400C2×Q8C23×D1111yescharacteristic
1401C2×Q8C23×D1111yescharacteristic
1402C2×Q8C23×D1111yescharacteristic
1403C2×D4—21no—
1404C2×D4—21no—
1405C2×D4—111no—
1406C2×D4—111no—
1407C2×D4—111no—
1408C2×D4—111no—
1409C2×D4—111no—
1410C2×D4—111no—
1411C2×D4—221no—
1412C2×D4—221no—
1413C2×D4—221no—
1414C2×D4—221no—
1415C2×D4—221no—
1416C2×D4—221no—
1417C2×D4—221no—
1418C2×D4—221no—
1419C2×D4—221no—
1420C2×D4—221no—
1421C2×D4—221no—
1422C2×D4—221no—
1423C2×D4—221no—
1424C2×D4—221no—
1425C2×D4—221no—
1426C2×D4—221no—
1427C2×D4—221no—
1428C2×D4—221no—
1429C2×D4—221no—
1430C2×D4—221no—
1431C2×D4—221no—
1432C2×D4—221no—
1433C2×D4—221no—
1434C2×D4—221no—
1435C2×D4—441no—
1436C2×D4—441no—
1437C2×D4—441no—
1438C2×D4—441no—
1439C2×D4—882no—
1440C2×D4C23×D1111yescharacteristic
1441C2×D4C23×D1111yescharacteristic
1442C2×D4C23×D1111yescharacteristic
1443C22×C4—21no—
1444C22×C4—21no—
1445C22×C4—21no—
1446C22×C4—111no—
1447C22×C4—111no—
1448C22×C4—111no—
1449C22×C4—111no—
1450C22×C4—111no—
1451C22×C4—221no—
1452C22×C4—221no—
1453C22×C4—221no—
1454C22×C4—221no—
1455C22×C4—221no—
1456C22×C4—221no—
1457C22×C4—221no—
1458C22×C4—221no—
1459C22×C4—221no—
1460C22×C4—221no—
1461C22×C4—221no—
1462C22×C4—221no—
1463C22×C4—221no—
1464Q16—41no—
1465Q16—41no—
1466Q16—222no—
1467Q16—222no—
1468SD16—41no—
1469SD16—41no—
1470SD16—41no—
1471SD16—41no—
1472SD16—41no—
1473SD16—222no—
1474SD16—222no—
1475SD16—222no—
1476SD16—222no—
1477SD16—441no—
1478SD16—441no—
1479SD16—441no—
1480D8—41no—
1481D8—41no—
1482D8—441no—
1483D8—441no—
1484D8—441no—
1485D8—441no—
1486D8—441no—
1487D8—441no—
1488M16—441no—
1489M16—441no—
1490C2×C8—111no—
1491C2×C8—111no—
1492C2×C8—111no—
1493C2×C8—111no—
1494C2×C8—441no—
1495C2×C8—441no—
1496C2×C8—441no—
1497C2×C8—441no—
1498C2×C8C23×D1111yescharacteristic
1499C2×C8C23×D1111yescharacteristic
1500C2×C8C23×D1111yescharacteristic
1501C2×C8C23×D1111yescharacteristic
1502C4⋊C4—21no—
1503C4⋊C4—21no—
1504C4⋊C4—21no—
1505C4⋊C4—21no—
1506C4⋊C4—21no—
1507C4⋊C4—111no—
1508C4⋊C4—111no—
1509C4⋊C4—111no—
1510C4⋊C4—111no—
1511C4⋊C4—111no—
1512C4⋊C4—111no—
1513C4⋊C4—111no—
1514C4⋊C4—111no—
1515C4⋊C4—111no—
1516C4⋊C4—111no—
1517C4⋊C4—111no—
1518C4⋊C4—221no—
1519C4⋊C4—221no—
1520C4⋊C4—221no—
1521C4⋊C4—221no—
1522C4⋊C4—221no—
1523C4⋊C4—221no—
1524C4⋊C4—221no—
1525C4⋊C4—221no—
1526C4⋊C4—221no—
1527C4⋊C4—221no—
1528C4⋊C4—221no—
1529C4⋊C4—221no—
1530C4⋊C4—221no—
1531C4⋊C4—221no—
1532C4⋊C4—221no—
1533C4⋊C4—221no—
1534C4⋊C4D4×D1111yescharacteristic
1535C4⋊C4D4×D1111yescharacteristic
1536C4⋊C4D4×D1111yescharacteristic
1537C4⋊C4C23×D1111yescharacteristic
1538C4⋊C4C23×D1111yescharacteristic
1539C22⋊C4—21no—
1540C22⋊C4—21no—
1541C22⋊C4—21no—
1542C22⋊C4—21no—
1543C22⋊C4—21no—
1544C22⋊C4—21no—
1545C22⋊C4—21no—
1546C22⋊C4—21no—
1547C22⋊C4—21no—
1548C22⋊C4—21no—
1549C22⋊C4—21no—
1550C22⋊C4—111no—
1551C22⋊C4—111no—
1552C22⋊C4—111no—
1553C22⋊C4—111no—
1554C22⋊C4—111no—
1555C22⋊C4—111no—
1556C22⋊C4—111no—
1557C22⋊C4—111no—
1558C22⋊C4—111no—
1559C22⋊C4—111no—
1560C22⋊C4—221no—
1561C22⋊C4—221no—
1562C22⋊C4—221no—
1563C22⋊C4—221no—
1564C22⋊C4—221no—
1565C22⋊C4—221no—
1566C22⋊C4—221no—
1567C22⋊C4—221no—
1568C22⋊C4—221no—
1569C22⋊C4—221no—
1570C22⋊C4—221no—
1571C22⋊C4—221no—
1572C22⋊C4—221no—
1573C22⋊C4—221no—
1574C22⋊C4—221no—
1575C22⋊C4—221no—
1576C22⋊C4—221no—
1577C22⋊C4—221no—
1578C22⋊C4—221no—
1579C22⋊C4—221no—
1580C22⋊C4—221no—
1581C22⋊C4—221no—
1582C22⋊C4—221no—
1583C42—21no—
1584C42—21no—
1585C42—21no—
1586C42—111no—
1587C42—111no—
1588C42—111no—
1589C42—221no—
1590C42—221no—
1591C42—221no—
1592C42—221no—
1593C42—221no—
1594C42—221no—
1595C42—221no—
1596C42C23×D1111yescharacteristic
1597C42C23×D1111yescharacteristic
1598C42C23×D1111yescharacteristic
1599C11#6202611yescharacteristic, complemented, Sylow
1600C23—21no—
1601C23—21no—
1602C23—21no—
1603C23—111no—
1604C23—111no—
1605C23—111no—
1606C23—221no—
1607C23—221no—
1608C23—221no—
1609C23—881no—
1610C23—881no—
1611C23—881no—
1612C23—881no—
1613C23—881no—
1614C23—881no—
1615Q8—21no—
1616Q8—21no—
1617Q8—21no—
1618Q8—21no—
1619Q8—21no—
1620Q8—21no—
1621Q8—41no—
1622Q8—112no—
1623Q8—221no—
1624Q8—442no—
1625Q8—881no—
1626Q8—881no—
1627D4—21no—
1628D4—21no—
1629D4—21no—
1630D4—21no—
1631D4—21no—
1632D4—21no—
1633D4—81no—
1634D4—81no—
1635D4—221no—
1636D4—221no—
1637D4—221no—
1638D4—221no—
1639D4—221no—
1640D4—221no—
1641D4—441no—
1642D4—441no—
1643D4—441no—
1644D4—442no—
1645D4—442no—
1646D4—442no—
1647D4—881no—
1648D4—881no—
1649D4—881no—
1650D4—881no—
1651D4—881no—
1652D4—881no—
1653D4—881no—
1654D4—881no—
1655D4—881no—
1656D4—881no—
1657D4—881no—
1658D4—881no—
1659D4—881no—
1660D4—881no—
1661D4—881no—
1662D4—881no—
1663D4—881no—
1664D4—881no—
1665D4—881no—
1666D4—881no—
1667D4—881no—
1668C2×C4—21no—
1669C2×C4—21no—
1670C2×C4—21no—
1671C2×C4—21no—
1672C2×C4—21no—
1673C2×C4—42no—
1674C2×C4—81no—
1675C2×C4—81no—
1676C2×C4—111no—
1677C2×C4—111no—
1678C2×C4—111no—
1679C2×C4—111no—
1680C2×C4—111no—
1681C2×C4—221no—
1682C2×C4—221no—
1683C2×C4—221no—
1684C2×C4—221no—
1685C2×C4—221no—
1686C2×C4—221no—
1687C2×C4—221no—
1688C2×C4—221no—
1689C2×C4—221no—
1690C2×C4—221no—
1691C2×C4—221no—
1692C2×C4—441no—
1693C2×C4—441no—
1694C2×C4—442no—
1695C2×C4—442no—
1696C2×C4—442no—
1697C2×C4—442no—
1698C2×C4—881no—
1699C2×C4—881no—
1700C2×C4—881no—
1701C2×C4—881no—
1702C2×C4—881no—
1703C2×C4—881no—
1704C2×C4—881no—
1705C2×C4—881no—
1706C2×C4—881no—
1707C2×C4C2×D4×D1111yescharacteristic
1708C2×C4C2×D4×D1111yescharacteristic
1709C2×C4C2×D4×D1111yescharacteristic
1710C2×C4C2×D4×D1111yescharacteristic
1711C2×C4C2×D4×D1111yescharacteristic
1712C2×C4C2×D4×D1111yescharacteristic
1713C2×C4C24×D1111yescharacteristic
1714C8—21no—
1715C8—21no—
1716C8—21no—
1717C8—21no—
1718C8—221no—
1719C8—221no—
1720C8—221no—
1721C8—221no—
1722C22—41no—
1723C22—41no—
1724C22—41no—
1725C22—41no—
1726C22—41no—
1727C22—41no—
1728C22—41no—
1729C22—41no—
1730C22—41no—
1731C22—221no—
1732C22—221no—
1733C22—221no—
1734C22—221no—
1735C22—221no—
1736C22—221no—
1737C22—221no—
1738C22—221no—
1739C22—221no—
1740C22—441no—
1741C22—441no—
1742C22—441no—
1743C22—441no—
1744C22—441no—
1745C22—441no—
1746C22—441no—
1747C22—441no—
1748C22—441no—
1749C22—1762no—
1750C22—1762no—
1751C22C22×D4×D1111yescharacteristic
1752C4—21no—
1753C4—21no—
1754C4—21no—
1755C4—21no—
1756C4—21no—
1757C4—21no—
1758C4—41no—
1759C4—41no—
1760C4—41no—
1761C4—41no—
1762C4—41no—
1763C4—221no—
1764C4—221no—
1765C4—221no—
1766C4—221no—
1767C4—222no—
1768C4—221no—
1769C4—441no—
1770C4—441no—
1771C4—441no—
1772C4—441no—
1773C4#1062345311yescharacteristic
1774C4D11×H(5,𝔽2)11yescharacteristic
1775C2—81no—
1776C2—81no—
1777C2—81no—
1778C2—441no—
1779C2—441no—
1780C2—441no—
1781C2—881no—
1782C2—881no—
1783C2—881no—
1784C2#1308228411yescharacteristic
1785C2#1308338811yescharacteristic
1786C2#1308339311yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3401C2
socleC22×C11C23×D4
hypercenter#3401D11
hypocenterC11#62026
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3401

Complements

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

NH ≅ G/Ntype
1. #13082991C2semidirect
2. #13082720C2semidirect
3. #13081654C2semidirect
4. #13081452C2semidirect
5. #13081347C2semidirect
6. #13080779C2semidirect
7. #13080762C2semidirect
8. #13080747C2semidirect
9. #13080599C2semidirect
10. #13080568C2semidirect
11. #13080458C2semidirect
12. #13080371C2semidirect
13. #13080322C2semidirect
14. #13080207C2semidirect
15. #13080170C2semidirect
16. #13080155C2semidirect
17. #13080117C2semidirect
18. #13080075C2semidirect
19. #13080025C2semidirect
20. #13079939C2semidirect
21. #13079703C2semidirect
22. #13079661C2semidirect
23. #13079650C2semidirect
24. #13078889C2semidirect
25. #13078849C2semidirect
26. #13078763C2semidirect
27. #13078156C2semidirect
28. #13078135C2semidirect
29. #13078072C2semidirect
30. #13077754C2semidirect
31. C11×#3401C2semidirect
32. C11×#559C22semidirect
34. C2×#66971C22semidirect
35. C2×#66969C22semidirect
36. C2×#66969C22semidirect
37. C2×#66969C22semidirect
42. #10623250C22semidirect
43. #10623249C22semidirect
48. #10623213C22semidirect
49. #10623211C22semidirect
51. #10623208C22semidirect
66. #10623112C22semidirect
71. #10623103C22semidirect
72. #10623098C22semidirect
73. #10623094C22semidirect
77. #10623077C22semidirect
80. C4×#4341C22semidirect
83. C11×#497C22semidirect
87. C11×#464C22semidirect
90. C11×#461C22semidirect
91. C11×#460C22semidirect
92. C11×#446C22semidirect
94. C11×#441C22semidirect
95. C4×C11×SD16C22semidirect
96. #10622801C22semidirect
97. #10622800C22semidirect
98. #10622800C22semidirect
99. #10622800C22semidirect
100. #10622799C22semidirect
101. #10622798C22semidirect
102. #10622798C22semidirect
103. #10622787C22semidirect
104. #10622787C22semidirect
105. #10622786C22semidirect
106. #10622785C22semidirect
107. #10622785C22semidirect
108. #10622785C22semidirect
109. #10622785C22semidirect
110. #10622785C22semidirect
112. #10622784C22semidirect
114. #10622778C22semidirect
115. #10622778C22semidirect
116. #10622778C22semidirect
117. #10622778C22semidirect
126. #10622703C22semidirect
127. #10622695C22semidirect
128. #10622686C22semidirect
129. #10622685C22semidirect
131. #10622671C22semidirect
132. #10622670C22semidirect
133. #10622670C22semidirect
138. #10622643C22semidirect
139. C4×#4326C22semidirect
140. #10622640C22semidirect
141. C4×#4325C22semidirect
142. #10622637C22semidirect
143. #10622635C22semidirect
144. #10622634C22semidirect
147. #10622628C22semidirect
148. #10622627C22semidirect
149. #10622627C22semidirect
152. #10622479C22semidirect
154. #10622467C22semidirect
156. #10622461C22semidirect
157. #10622461C22semidirect
158. #10622460C22semidirect
159. #10622460C22semidirect
160. #10622459C22semidirect
161. #10622452C22semidirect
162. #10622452C22semidirect
164. #10622449C22semidirect
165. #10622447C22semidirect
166. D11×C4⋊C8C22semidirect
167. #10622427C22semidirect
169. #10622420C22semidirect
171. #10622418C22semidirect
172. #10622417C22semidirect
173. #10622417C22semidirect
174. #10622417C22semidirect
175. #10622416C22semidirect
176. #10622411C22semidirect
177. #10622411C22semidirect
178. #10622407C22semidirect
182. #10622394C22semidirect
185. #10622388C22semidirect
189. #10622374C22semidirect
190. #10622372C22semidirect
192. #10622326C22semidirect
193. #10622323C22semidirect
194. #10622323C22semidirect
195. #10622322C22semidirect
197. #10622319C22semidirect
198. #10622318C22semidirect
199. #10622307C22semidirect
200. C4×#4314C22semidirect
201. #10622303C22semidirect
202. C8×D44C22semidirect
709. #3401D11semidirect
869. #559C2×D11semidirect
911. #497C2×D11semidirect
958. #464C2×D11semidirect
968. #461C2×D11semidirect
975. #460C2×D11semidirect
1000. #446C2×D11semidirect
1005. #441C2×D11semidirect
1012. C4×SD16C2×D11semidirect
1599. C11#62026semidirect

Maximal subgroups

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

subgroupindex
#130829912
#130827202
#130816542
#130814522
#130813472
#130807792
#130807622
#130807472
#130805992
#130805682
#130804582
#130803712
#130803222
#130802072
#130801702
#130801552
#130801172
#130800752
#130800252
#130799392
#130797032
#130796612
#130796502
#130788892
#130788492
#130787632
#130781562
#130781352
#130780722
#130777542
C11×#34012
#6202611