Finite Group Databasebeta

← #15626914

Subgroups — #15626914

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#13082505C211yesmaximal, characteristic, complemented
2#13082037C211yesmaximal, characteristic, complemented
3#13080084C211yesmaximal, characteristic, complemented
4#13080080C211yesmaximal, characteristic, complemented
5#13080078C211yesmaximal, characteristic, complemented
6#13080074C211yesmaximal, characteristic, complemented
7#13080033C211yesmaximal, characteristic, complemented
8#13080031C211yesmaximal, characteristic, complemented
9#13080030C211yesmaximal, characteristic, complemented
10#13080020C211yesmaximal, characteristic, complemented
11#13080015C211yesmaximal, characteristic, complemented
12#13080012C211yesmaximal, characteristic, complemented
13#13079978C211yesmaximal, characteristic, complemented
14#13079977C211yesmaximal, characteristic, complemented
15#13079970C211yesmaximal, characteristic, complemented
16#13079943C211yesmaximal, characteristic, complemented
17#13079939C211yesmaximal, characteristic, complemented
18#13078457C211yesmaximal, characteristic, complemented
19#13078446C211yesmaximal, characteristic, complemented
20#13078411C211yesmaximal, characteristic, complemented
21#13078403C211yesmaximal, characteristic, complemented
22#13078306C211yesmaximal, characteristic, complemented
23#13078289C211yesmaximal, characteristic, complemented
24#13078259C211yesmaximal, characteristic, complemented
25#13078250C211yesmaximal, characteristic, complemented
26#13078135C211yesmaximal, characteristic, complemented
27#13078117C211yesmaximal, characteristic, complemented
28#13078107C211yesmaximal, characteristic, complemented
29D11×#463C211yesmaximal, characteristic, complemented
30#13077181C211yesmaximal, characteristic, complemented
31C11×#3250C211yesmaximal, characteristic, complemented
32C11×#529C2211yescharacteristic, complemented
33C11×#529C2211yescharacteristic, complemented
34C2×#66971C2211yescharacteristic
35C2×#66967C2211yescharacteristic
36C2×SD16×D11C2211yescharacteristic
37C2×D8×D11C2211yescharacteristic
38C2×#66954C2211yescharacteristic
39C2×#66954C2211yescharacteristic
40#10623241—21no—
41#10623236—21no—
42#10623235—21no—
43#10623233—21no—
44#10623229C2211yescharacteristic, complemented
45#10623222C2211yescharacteristic, complemented
46#10623220C2211yescharacteristic
47#10623219C2211yescharacteristic
48#10623213C2211yescharacteristic, complemented
49#10623211C2211yescharacteristic, complemented
50#10623205C2211yescharacteristic
51D11×#124C2211yescharacteristic
52#10623195—21no—
53#10623194—21no—
54#10623190—21no—
55#10623188—21no—
56#10623174C2211yescharacteristic, complemented
57#10623174C2211yescharacteristic, complemented
58#10623160C2211yescharacteristic
59#10623159C2211yescharacteristic
60#10623150C2211yescharacteristic, complemented
61#10623138C2211yescharacteristic
62#10623138C2211yescharacteristic
63#10623134C2211yescharacteristic, complemented
64#10623113C2211yescharacteristic, complemented
65#10623111C2211yescharacteristic, complemented
66C4×#4343C2211yescharacteristic
67#10623103C2211yescharacteristic
68#10623092C2211yescharacteristic, complemented
69#10623090—21no—
70#10623087—21no—
71#10623079—21no—
72#10623079C2211yescharacteristic, complemented
73#10623078—21no—
74#10623076C2211yescharacteristic
75C4×D4×D11C2211yescharacteristic
76#10623064—21no—
77#10623059—21no—
78#10623058—21no—
79#10623055—21no—
80#10623010C2211yescharacteristic, complemented
81#10623008C2211yescharacteristic, complemented
82C4×#4339C2211yescharacteristic
83C11×#479C2211yescharacteristic, complemented
84C11×#479C2211yescharacteristic, complemented
85C11×#478C2211yescharacteristic, complemented
86C11×#478C2211yescharacteristic, complemented
87C11×#467C2211yescharacteristic, complemented
88C11×#466C2211yescharacteristic
89C11×#465C2211yescharacteristic, complemented
90C11×#465C2211yescharacteristic, complemented
91C11×#464C2211yescharacteristic, complemented
92C11×#464C2211yescharacteristic, complemented
93C11×#463C2211yescharacteristic
94C11×#463C2211yescharacteristic
95C2×C11×C4⋊C8C2211yescharacteristic, complemented
96#10622802C2211yescharacteristic, complemented
97#10622798C2211yescharacteristic, complemented
98#10622798C2211yescharacteristic, complemented
99#10622787C2211yescharacteristic, complemented
100#10622784C2211yescharacteristic, complemented
101#10622779C2211yescharacteristic, complemented
102#10622778C2211yescharacteristic
103#10622778C2211yescharacteristic
104#10622776C2211yescharacteristic, complemented
105#10622770C2211yescharacteristic
106#10622766C2211yescharacteristic
107#10622763C2211yescharacteristic
108#10622728C2211yescharacteristic
109#10622728C2211yescharacteristic, complemented
110#10622727C2211yescharacteristic, complemented
111#10622727C2211yescharacteristic, complemented
112#10622715C2211yescharacteristic, complemented
113#10622715C2211yescharacteristic, complemented
114#10622679C2211yescharacteristic, complemented
115#10622679C2211yescharacteristic, complemented
116#10622679C2211yescharacteristic, complemented
117#10622676C2211yescharacteristic, complemented
118#10622670C2211yescharacteristic
119#10622670C2211yescharacteristic
120#10622670C2211yescharacteristic, complemented
121#10622667C2211yescharacteristic, complemented
122#10622665C2211yescharacteristic, complemented
123#10622662C2211yescharacteristic, complemented
124#10622662C2211yescharacteristic, complemented
125#10622662C2211yescharacteristic, complemented
126#10622655C2211yescharacteristic, complemented
127#10622652C2211yescharacteristic
128#10622652C2211yescharacteristic
129#10622652C2211yescharacteristic, complemented
130#10622641C2211yescharacteristic, complemented
131#10622640C2211yescharacteristic, complemented
132#10622635C2211yescharacteristic, complemented
133#10622633C2211yescharacteristic, complemented
134#10622629C2211yescharacteristic
135#10622628C2211yescharacteristic
136#10622622C2211yescharacteristic, complemented
137#10622620C2211yescharacteristic, complemented
138#10622537C2211yescharacteristic, complemented
139#10622503C2211yescharacteristic, complemented
140#10622503C2211yescharacteristic, complemented
141#10622503C2211yescharacteristic, complemented
142#10622499C2211yescharacteristic, complemented
143#10622496C2211yescharacteristic
144#10622494C2211yescharacteristic
145#10622493C2211yescharacteristic
146#10622490C2211yescharacteristic, complemented
147#10622484C2211yescharacteristic, complemented
148#10622483C2211yescharacteristic, complemented
149#10622483C2211yescharacteristic, complemented
150#10622478C2211yescharacteristic, complemented
151#10622477C2211yescharacteristic, complemented
152#10622474C2211yescharacteristic
153#10622473C2211yescharacteristic
154#10622467C2211yescharacteristic, complemented
155#10622463C2211yescharacteristic, complemented
156#10622461C2211yescharacteristic, complemented
157#10622460C2211yescharacteristic, complemented
158#10622460C2211yescharacteristic, complemented
159#10622457C2211yescharacteristic
160#10622457C2211yescharacteristic, complemented
161#10622456C2211yescharacteristic
162#10622455C2211yescharacteristic, complemented
163#10622452C2211yescharacteristic
164#10622452C2211yescharacteristic
165#10622452C2211yescharacteristic, complemented
166#10622452C2211yescharacteristic, complemented
167#10622450C2211yescharacteristic
168#10622450C2211yescharacteristic, complemented
169D11×C4⋊C8C2211yescharacteristic
170D11×C4⋊C8C2211yescharacteristic, complemented
171#10622432C2211yescharacteristic
172#10622432C2211yescharacteristic
173#10622432C2211yescharacteristic, complemented
174#10622426C2211yescharacteristic, complemented
175#10622425C2211yescharacteristic, complemented
176#10622420C2211yescharacteristic, complemented
177#10622420C2211yescharacteristic, complemented
178#10622417C2211yescharacteristic
179#10622417C2211yescharacteristic
180#10622415C2211yescharacteristic
181D11×#103C2211yescharacteristic
182#10622411C2211yescharacteristic, complemented
183#10622409C2211yescharacteristic, complemented
184#10622407C2211yescharacteristic, complemented
185#10622407C2211yescharacteristic, complemented
186#10622404C2211yescharacteristic, complemented
187#10622400C2211yescharacteristic
188#10622400C2211yescharacteristic, complemented
189#10622399C2211yescharacteristic
190#10622395C2211yescharacteristic
191#10622395C2211yescharacteristic
192#10622393C2211yescharacteristic, complemented
193#10622388C2211yescharacteristic, complemented
194#10622383C2211yescharacteristic
195#10622383C2211yescharacteristic
196#10622383C2211yescharacteristic
197D11×#102C2211yescharacteristic
198#10622376C2211yescharacteristic, complemented
199#10622375C2211yescharacteristic, complemented
200#10622374C2211yescharacteristic, complemented
201#10622374C2211yescharacteristic, complemented
202#10622372C2211yescharacteristic, complemented
203C2×#4343C2311yescharacteristic
204C2×Q8×D11C2311yescharacteristic
205C2×D4×D11C2311yescharacteristic
206C2×D4×D11C2311yescharacteristic
207C2×#4339—21no—
208C2×#4339—21no—
209C2×#4339C2311yescharacteristic
210C22×C4×D11—21no—
211C2×C11×Q16C2311yescharacteristic
212C2×C11×SD16C2311yescharacteristic
213C2×C11×SD16C2311yescharacteristic
214C2×C11×D8C2311yescharacteristic
215C22×C8×C11C2311yescharacteristic
216C22×C8×C11C2311yescharacteristic
217C11×#126—21no—
218C11×#126—21no—
219C11×#125C2311yescharacteristic
220C11×#125C2311yescharacteristic
221C11×#124C2311yescharacteristic
222C11×#124C2311yescharacteristic
223C11×#123—21no—
224C11×#123—21no—
225C11×C22⋊Q8C2311yescharacteristic
226C11×C22⋊Q8C2311yescharacteristic
227C11×#121C2311yescharacteristic
228C11×#121C2311yescharacteristic
229C4×Q8×C11C2311yescharacteristic
230C4×Q8×C11C2311yescharacteristic
231C4×D4×C11—21no—
232C4×D4×C11—21no—
233C4×D4×C11C2311yescharacteristic
234C4×D4×C11C2311yescharacteristic
235C11×#117—21no—
236C11×#117—21no—
237C2×C42×C11C2311yescharacteristic
238#67000C2311yescharacteristic
239#67000C2311yescharacteristic
240#66999C2311yescharacteristic
241#66999C2311yescharacteristic
242Q8×Dic11C2311yescharacteristic
243Q8×Dic11C2311yescharacteristic
244C2×#4326C2311yescharacteristic
245C2×#4325C2311yescharacteristic
246C2×#4325C2311yescharacteristic
247C2×#4325C2311yescharacteristic
248#66993—21no—
249#66993—21no—
250#66993C2311yescharacteristic
251#66992—21no—
252#66991—21no—
253#66991C2311yescharacteristic
254#66991C2311yescharacteristic
255#66990—21no—
256#66990—21no—
257#66989—21no—
258#66989C2311yescharacteristic
259#66988—21no—
260D4×Dic11C2311yescharacteristic
261D4×Dic11C2311yescharacteristic
262C2×#4324C2311yescharacteristic
263C2×#4323C2311yescharacteristic
264C2×#4323C2311yescharacteristic
265C2×#4323C2311yescharacteristic
266#66983—21no—
267#66983C2311yescharacteristic
268#66983C2311yescharacteristic
269#66983C2311yescharacteristic
270#66982—21no—
271#66982—21no—
272C4×C22⋊D11—21no—
273C4×C22⋊D11—21no—
274C4×C22⋊D11—21no—
275C4×C22⋊D11—21no—
276C4×C22⋊D11D411yescharacteristic
277C4×C22⋊D11D411yescharacteristic
278C4×C22⋊D11D411yescharacteristic
279C4×C22⋊D11D411yescharacteristic
280C2×(C2×D11)⋊C4—21no—
281#66979C2311yescharacteristic
282#66977—21no—
283#66977C2311yescharacteristic
284C2×#4318C2311yescharacteristic
285C2×#4318C2311yescharacteristic
286#66971—42no—
287#66967—42no—
288SD16×D11—42no—
289D8×D11—42no—
290C2×D88C2311yescharacteristic
291C2×D88C2311yescharacteristic
292C2×#4314C2311yescharacteristic
293C2×#4314C2311yescharacteristic
294#66954—42no—
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#66950—21no—
309#66950—21no—
310#66950—21no—
311#66950C2311yescharacteristic
312#66949—21no—
313#66949—21no—
314#66949—21no—
315#66949—21no—
316#66949—21no—
317#66948—21no—
318#66948—21no—
319#66948—21no—
320#66948C2311yescharacteristic
321#66948C2311yescharacteristic
322#66948C2311yescharacteristic
323#66947—21no—
324#66947—21no—
325#66947—21no—
326#66947—21no—
327#66947—21no—
328#66947—21no—
329#66946—21no—
330#66946—21no—
331#66946C2311yescharacteristic
332#66946C2311yescharacteristic
333#66946C2311yescharacteristic
334#66945—21no—
335#66945—21no—
336#66945—21no—
337#66945C2311yescharacteristic
338#66945C2311yescharacteristic
339#66945C2311yescharacteristic
340C4⋊C4×D11C2311yescharacteristic
341#66943C2311yescharacteristic
342#66942—21no—
343#66941—21no—
344#66941—21no—
345#66941C2311yescharacteristic
346#66941C2311yescharacteristic
347#66941C2311yescharacteristic
348#66940—21no—
349#66940—21no—
350#66940—21no—
351#66940C2311yescharacteristic
352#66939—21no—
353#66939—21no—
354#66938—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#66938—21no—
364#66937—21no—
365#66937—21no—
366#66937—21no—
367#66937—21no—
368#66937—21no—
369#66936—21no—
370#66936—21no—
371#66936—21no—
372#66936—21no—
373#66936—21no—
374#66935—21no—
375#66935—21no—
376#66935—21no—
377#66935—21no—
378(C22⋊D11)⋊C4—21no—
379(C22⋊D11)⋊C4—21no—
380(C22⋊D11)⋊C4—21no—
381C22⋊C4×D11—21no—
382C22⋊C4×D11—21no—
383C22⋊C4×D11—21no—
384C22⋊C4×D11—21no—
385#66932—21no—
386#66932—21no—
387#66932—21no—
388#66932—21no—
389#66931—21no—
390#66931—21no—
391#66930—21no—
392#66929—21no—
393#66929—21no—
394#66928—21no—
395#66928—21no—
396#66928C2311yescharacteristic
397#66927C2311yescharacteristic
398C4×D44—21no—
399C4×D44—21no—
400C4×D44—21no—
401C4×D44D411yescharacteristic
402C4×D44D411yescharacteristic
403C4×D44C2311yescharacteristic
404C4×D44C2311yescharacteristic
405C4×D44C2311yescharacteristic
406#66925—21no—
407#66925—21no—
408#66925—21no—
409#66925C2311yescharacteristic
410#66925C2311yescharacteristic
411C42×D11—21no—
412C42×D11C2311yescharacteristic
413C42×D11C2311yescharacteristic
414#66923C2311yescharacteristic
415#66922C2311yescharacteristic
416C4×Dic22—21no—
417C4×Dic22D411yescharacteristic
418C4×Dic22D411yescharacteristic
419C4×Dic22C2311yescharacteristic
420C11×#107C2311yescharacteristic
421C11×#107C2311yescharacteristic
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#66872C2311yescharacteristic
475#66872C2311yescharacteristic
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×C11C2411yescharacteristic
488C2×Q8×C11C2411yescharacteristic
489C2×D4×C11—21no—
490C2×D4×C11—21no—
491C2×D4×C11C2411yescharacteristic
492C2×D4×C11C2411yescharacteristic
493C22×C4×C11—21no—
494C22×C4×C11—21no—
495C22×C4×C11C2×D411yescharacteristic
496C22×C4×C11C2×D411yescharacteristic
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—
511#4343—22no—
512#4343—22no—
513Q8×D11—22no—
514Q8×D11—22no—
515D4×D11—22no—
516D4×D11—22no—
517D4×D11—22no—
518D4×D11—22no—
519#4339—22no—
520#4339—22no—
521#4339—82no—
522#4339—82no—
523C2×D44—21no—
524C2×D44—21no—
525C2×D44—21no—
526C2×D44—21no—
527C2×D44—21no—
528C2×D44—21no—
529C2×D44C2×D411yescharacteristic
530C2×D44C2411yescharacteristic
531C2×D44C2411yescharacteristic
532C2×D44C2411yescharacteristic
533C2×C4×D11—21no—
534C2×C4×D11—21no—
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—82no—
543C2×C4×D11C2×D411yescharacteristic
544C2×C4×D11C2×D411yescharacteristic
545C2×C4×D11C2×D411yescharacteristic
546C2×C4×D11C2×D411yescharacteristic
547C2×C4×D11C2411yescharacteristic
548C2×C4×D11C2411yescharacteristic
549C2×Dic22—21no—
550C2×Dic22—21no—
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—
560C2×C8×C11—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⋊C4—21no—
573C11×C4⋊C4—21no—
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—
588C42×C11—21no—
589C42×C11—21no—
590C42×C11C2×D411yescharacteristic
591C42×C11C2×D411yescharacteristic
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—
601C22⋊Dic11C2×D411yescharacteristic
602C22⋊Dic11C2×D411yescharacteristic
603#4326—41no—
604#4325—41no—
605#4325—41no—
606#4325—41no—
607#4324—41no—
608#4323—41no—
609#4323—41no—
610#4323—41no—
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)⋊C4—21no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4C2×D411yescharacteristic
636(C2×D11)⋊C4C2×D411yescharacteristic
637(C2×D11)⋊C4C2×D411yescharacteristic
638(C2×D11)⋊C4C2×D411yescharacteristic
639C4⋊Dic11—21no—
640C4⋊Dic11—21no—
641C4⋊Dic11—21no—
642C4⋊Dic11—21no—
643C4⋊Dic11—21no—
644C4⋊Dic11C2×D411yescharacteristic
645C4⋊Dic11C2×D411yescharacteristic
646C4⋊Dic11C2411yescharacteristic
647C4⋊Dic11C2411yescharacteristic
648C4⋊Dic11C2411yescharacteristic
649C4⋊Dic11C2411yescharacteristic
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⋊C4—21no—
661Dic11⋊C4—21no—
662Dic11⋊C4C2×D411yescharacteristic
663Dic11⋊C4C2×D411yescharacteristic
664Dic11⋊C4C2×D411yescharacteristic
665Dic11⋊C4C2×D411yescharacteristic
666C4×Dic11—21no—
667C4×Dic11—21no—
668C4×Dic11—21no—
669C4×Dic11—21no—
670C4×Dic11—21no—
671C4×Dic11—21no—
672C4×Dic11—21no—
673C4×Dic11C2×D411yescharacteristic
674C4×Dic11C2×D411yescharacteristic
675C4×Dic11C2×D411yescharacteristic
676C4×Dic11C2×D411yescharacteristic
677C4×Dic11C2411yescharacteristic
678C4×Dic11C2411yescharacteristic
679#4318—41no—
680#4318—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#3263—111no—
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#3250D1111yescharacteristic, complemented
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—
746D4×C11—21no—
747D4×C11—21no—
748D4×C11—21no—
749D4×C11—21no—
750D4×C11—81no—
751D4×C11—81no—
752C2×C4×C11—21no—
753C2×C4×C11—21no—
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—41no—
761C2×C4×C11—41no—
762C2×C4×C11—42no—
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—81no—
787C2×Dic11—81no—
788C2×Dic11C22×D411yescharacteristic
789C2×Dic11C22×D411yescharacteristic
790C2×Dic11C22×D411yescharacteristic
791C2×Dic11C22×D411yescharacteristic
792C2×Dic11C22×D411yescharacteristic
793C2×Dic11C22×D411yescharacteristic
794D44—22no—
795D44—21no—
796D44—21no—
797D44—21no—
798D44—21no—
799D44—21no—
800D44—21no—
801D44—42no—
802D44—81no—
803D44—81no—
804D44—81no—
805D44—81no—
806D44—81no—
807C4×D11—21no—
808C4×D11—21no—
809C4×D11—41no—
810C4×D11—41no—
811C4×D11—41no—
812C4×D11—41no—
813C4×D11—42no—
814C4×D11—42no—
815C4×D11—42no—
816C4×D11—42no—
817C4×D11—81no—
818C4×D11—81no—
819C4×D11—81no—
820C4×D11—81no—
821C4×D11—81no—
822C4×D11H(5,𝔽2)12yes—
823C4×D112−1+412yes—
824Dic22—22no—
825Dic22—21no—
826Dic22—21no—
827Dic22—42no—
828Dic22—81no—
829Dic22—81no—
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—111no—
860#542—111no—
861#542—221no—
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—221no—
881#529C2×D1111yescharacteristic, complemented
882#529C2×D1111yescharacteristic, complemented
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#479C2×D1111yescharacteristic, complemented
896#479C2×D1111yescharacteristic, complemented
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#478C2×D1111yescharacteristic, complemented
906#478C2×D1111yescharacteristic, complemented
907#477—111no—
908#477—111no—
909#477—111no—
910#476—111no—
911#476—111no—
912#476—111no—
913#476—111no—
914#476—111no—
915#475—111no—
916#475—111no—
917#475—111no—
918#474—111no—
919#474—111no—
920#474—111no—
921#474—111no—
922#474—111no—
923#470—111no—
924#470—111no—
925#469—111no—
926#469—111no—
927#469—111no—
928#469—111no—
929#469—111no—
930#469—111no—
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#467C2×D1111yescharacteristic, complemented
941#466—111no—
942#466—111no—
943#466—111no—
944#466—111no—
945#466—111no—
946#466C2×D1111yescharacteristic
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#424—111no—
997#423—111no—
998#423—111no—
999#423—111no—
1000C2×C4⋊C8—111no—
1001C2×C4⋊C8—111no—
1002C2×C4⋊C8C2×D1111yescharacteristic, complemented
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×M16—111no—
1098C22×C8—111no—
1099C22×C8—111no—
1100C22×C8—111no—
1101C22×C8—111no—
1102C22×C8C22×D1111yescharacteristic
1103C22×C8C22×D1111yescharacteristic
1104C4⋊Q8—111no—
1105C4⋊Q8—111no—
1106C4⋊Q8—111no—
1107C4⋊Q8—111no—
1108C4⋊Q8—221no—
1109C4⋊Q8—221no—
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—221no—
1129#125C22×D1111yescharacteristic
1130#125C22×D1111yescharacteristic
1131#124—111no—
1132#124—111no—
1133#124—111no—
1134#124—111no—
1135#124—221no—
1136#124—221no—
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—111no—
1169C22⋊Q8—111no—
1170C22⋊Q8—111no—
1171C22⋊Q8—111no—
1172C22⋊Q8—221no—
1173C22⋊Q8—221no—
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—21no—
1225C4×D4—21no—
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—111no—
1239C4×D4—111no—
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—21no—
1255#117—21no—
1256#117—111no—
1257#117—111no—
1258#117—111no—
1259#117—111no—
1260#117—111no—
1261#117—111no—
1262#117—221no—
1263#117—221no—
1264#117—221no—
1265#117—221no—
1266#117—221no—
1267#117—221no—
1268#117—221no—
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—221no—
1278C2×C42C22×D1111yescharacteristic
1279#107—111no—
1280#107—111no—
1281#107—111no—
1282#107—111no—
1283#107—111no—
1284#107—111no—
1285#107C22×D1111yescharacteristic
1286#107C22×D1111yescharacteristic
1287#106—111no—
1288#106—111no—
1289#106—111no—
1290#106—111no—
1291#106—111no—
1292#106—111no—
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—111no—
1363C2×Q8—111no—
1364C2×Q8—221no—
1365C2×Q8—221no—
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—221no—
1411C22×C4—221no—
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—882no—
1422C22×C4D4×D1111yescharacteristic
1423C22×C4D4×D1111yescharacteristic
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—222no—
1442M16—222no—
1443M16—441no—
1444M16—441no—
1445M16—441no—
1446M16—441no—
1447C2×C8—41no—
1448C2×C8—41no—
1449C2×C8—111no—
1450C2×C8—111no—
1451C2×C8—111no—
1452C2×C8—111no—
1453C2×C8—222no—
1454C2×C8—222no—
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—21no—
1468C4⋊C4—21no—
1469C4⋊C4—111no—
1470C4⋊C4—111no—
1471C4⋊C4—111no—
1472C4⋊C4—111no—
1473C4⋊C4—111no—
1474C4⋊C4—111no—
1475C4⋊C4—111no—
1476C4⋊C4—111no—
1477C4⋊C4—111no—
1478C4⋊C4—111no—
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⋊C4—221no—
1495C4⋊C4—221no—
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—111no—
1515C22⋊C4—111no—
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⋊C4—221no—
1546C22⋊C4—221no—
1547C42—21no—
1548C42—21no—
1549C42—111no—
1550C42—111no—
1551C42—111no—
1552C42—111no—
1553C42—111no—
1554C42—111no—
1555C42—221no—
1556C42—221no—
1557C42—221no—
1558C42—221no—
1559C42—221no—
1560C42—221no—
1561C42—221no—
1562C42D4×D1111yescharacteristic
1563C42D4×D1111yescharacteristic
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—222no—
1586Q8—221no—
1587Q8—221no—
1588Q8—442no—
1589Q8—881no—
1590Q8—881no—
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—41no—
1632C2×C4—41no—
1633C2×C4—42no—
1634C2×C4—81no—
1635C2×C4—111no—
1636C2×C4—112no—
1637C2×C4—112no—
1638C2×C4—111no—
1639C2×C4—111no—
1640C2×C4—111no—
1641C2×C4—111no—
1642C2×C4—111no—
1643C2×C4—221no—
1644C2×C4—221no—
1645C2×C4—221no—
1646C2×C4—221no—
1647C2×C4—221no—
1648C2×C4—221no—
1649C2×C4—221no—
1650C2×C4—441no—
1651C2×C4—441no—
1652C2×C4—441no—
1653C2×C4—441no—
1654C2×C4—442no—
1655C2×C4—442no—
1656C2×C4—442no—
1657C2×C4—442no—
1658C2×C4—881no—
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#1308338511yescharacteristic
1740C2#1308339311yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3250C2
socleC22×C11C23×D4
hypercenter#3250D11
hypocenterC11#60926
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3250

Complements

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

NH ≅ G/Ntype
1. #13082505C2semidirect
2. #13082037C2semidirect
3. #13080084C2semidirect
4. #13080080C2semidirect
5. #13080078C2semidirect
6. #13080074C2semidirect
7. #13080033C2semidirect
8. #13080031C2semidirect
9. #13080030C2semidirect
10. #13080020C2semidirect
11. #13080015C2semidirect
12. #13080012C2semidirect
13. #13079978C2semidirect
14. #13079977C2semidirect
15. #13079970C2semidirect
16. #13079943C2semidirect
17. #13079939C2semidirect
18. #13078457C2semidirect
19. #13078446C2semidirect
20. #13078411C2semidirect
21. #13078403C2semidirect
22. #13078306C2semidirect
23. #13078289C2semidirect
24. #13078259C2semidirect
25. #13078250C2semidirect
26. #13078135C2semidirect
27. #13078117C2semidirect
28. #13078107C2semidirect
29. D11×#463C2semidirect
30. #13077181C2semidirect
31. C11×#3250C2semidirect
32. C11×#529C22semidirect
33. C11×#529C22semidirect
44. #10623229C22semidirect
45. #10623222C22semidirect
48. #10623213C22semidirect
49. #10623211C22semidirect
56. #10623174C22semidirect
57. #10623174C22semidirect
60. #10623150C22semidirect
63. #10623134C22semidirect
64. #10623113C22semidirect
65. #10623111C22semidirect
68. #10623092C22semidirect
72. #10623079C22semidirect
80. #10623010C22semidirect
81. #10623008C22semidirect
83. C11×#479C22semidirect
84. C11×#479C22semidirect
85. C11×#478C22semidirect
86. C11×#478C22semidirect
87. C11×#467C22semidirect
89. C11×#465C22semidirect
90. C11×#465C22semidirect
91. C11×#464C22semidirect
92. C11×#464C22semidirect
95. C2×C11×C4⋊C8C22semidirect
96. #10622802C22semidirect
97. #10622798C22semidirect
98. #10622798C22semidirect
99. #10622787C22semidirect
100. #10622784C22semidirect
101. #10622779C22semidirect
104. #10622776C22semidirect
109. #10622728C22semidirect
110. #10622727C22semidirect
111. #10622727C22semidirect
112. #10622715C22semidirect
113. #10622715C22semidirect
114. #10622679C22semidirect
115. #10622679C22semidirect
116. #10622679C22semidirect
117. #10622676C22semidirect
120. #10622670C22semidirect
121. #10622667C22semidirect
122. #10622665C22semidirect
123. #10622662C22semidirect
124. #10622662C22semidirect
125. #10622662C22semidirect
126. #10622655C22semidirect
129. #10622652C22semidirect
130. #10622641C22semidirect
131. #10622640C22semidirect
132. #10622635C22semidirect
133. #10622633C22semidirect
136. #10622622C22semidirect
137. #10622620C22semidirect
138. #10622537C22semidirect
139. #10622503C22semidirect
140. #10622503C22semidirect
141. #10622503C22semidirect
142. #10622499C22semidirect
146. #10622490C22semidirect
147. #10622484C22semidirect
148. #10622483C22semidirect
149. #10622483C22semidirect
150. #10622478C22semidirect
151. #10622477C22semidirect
154. #10622467C22semidirect
155. #10622463C22semidirect
156. #10622461C22semidirect
157. #10622460C22semidirect
158. #10622460C22semidirect
160. #10622457C22semidirect
162. #10622455C22semidirect
165. #10622452C22semidirect
166. #10622452C22semidirect
168. #10622450C22semidirect
170. D11×C4⋊C8C22semidirect
173. #10622432C22semidirect
174. #10622426C22semidirect
175. #10622425C22semidirect
176. #10622420C22semidirect
177. #10622420C22semidirect
182. #10622411C22semidirect
183. #10622409C22semidirect
184. #10622407C22semidirect
185. #10622407C22semidirect
186. #10622404C22semidirect
188. #10622400C22semidirect
192. #10622393C22semidirect
193. #10622388C22semidirect
198. #10622376C22semidirect
199. #10622375C22semidirect
200. #10622374C22semidirect
201. #10622374C22semidirect
202. #10622372C22semidirect
712. #3250D11semidirect
881. #529C2×D11semidirect
882. #529C2×D11semidirect
895. #479C2×D11semidirect
896. #479C2×D11semidirect
905. #478C2×D11semidirect
906. #478C2×D11semidirect
940. #467C2×D11semidirect
953. #465C2×D11semidirect
954. #465C2×D11semidirect
961. #464C2×D11semidirect
962. #464C2×D11semidirect
1002. C2×C4⋊C8C2×D11semidirect
1566. C11#60926semidirect

Maximal subgroups

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

subgroupindex
#130825052
#130820372
#130800842
#130800802
#130800782
#130800742
#130800332
#130800312
#130800302
#130800202
#130800152
#130800122
#130799782
#130799772
#130799702
#130799432
#130799392
#130784572
#130784462
#130784112
#130784032
#130783062
#130782892
#130782592
#130782502
#130781352
#130781172
#130781072
D11×#4632
#130771812
C11×#32502
#6092611