Finite Group Databasebeta

← #15631842

Subgroups — #15631842

Order 2816.

2150 conjugacy classes of subgroups.

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

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082475C211yesmaximal, characteristic, complemented
2#13082388C211yesmaximal, characteristic
3#13080952C211yesmaximal, characteristic, complemented
4#13080949C211yesmaximal, characteristic, complemented
5#13080843C211yesmaximal, characteristic, complemented
6#13080840C211yesmaximal, characteristic, complemented
7#13080749C211yesmaximal, characteristic, complemented
8#13080744C211yesmaximal, characteristic, complemented
9#13080741C211yesmaximal, characteristic, complemented
10#13080736C211yesmaximal, characteristic, complemented
11#13080642C211yesmaximal, characteristic, complemented
12#13080637C211yesmaximal, characteristic, complemented
13#13080634C211yesmaximal, characteristic, complemented
14#13080553C211yesmaximal, characteristic, complemented
15#13080550C211yesmaximal, characteristic, complemented
16#13080436C211yesmaximal, characteristic, complemented
17#13080433C211yesmaximal, characteristic, complemented
18#13078989C211yesmaximal, characteristic, complemented
19#13078569C211yesmaximal, characteristic, complemented
20#13078567C211yesmaximal, characteristic, complemented
21#13078401C211yesmaximal, characteristic, complemented
22#13078253C211yesmaximal, characteristic, complemented
23#13078250C211yesmaximal, characteristic, complemented
24D11×#460C211yesmaximal, characteristic, complemented
25#13077888C211yesmaximal, characteristic, complemented
26#13077888C211yesmaximal, characteristic, complemented
27#13077438C211yesmaximal, characteristic, complemented
28#13077357C211yesmaximal, characteristic, complemented
29#13077141C211yesmaximal, characteristic, complemented
30#13077137C211yesmaximal, characteristic, complemented
31C11×#3310C211yesmaximal, characteristic, complemented
32C2×#67037C2211yescharacteristic
33C2×#67037C2211yescharacteristic
34C11×#552C2211yescharacteristic, complemented
35D42×C11C2211yescharacteristic
36C2×#66993—21no—
37D4×C22⋊D11—21no—
38D4×C22⋊D11C2211yescharacteristic
39D4×C22⋊D11C2211yescharacteristic
40C2×#66968C2211yescharacteristic
41C2×SD16×D11C2211yescharacteristic, complemented
42C2×SD16×D11C2211yescharacteristic, complemented
43C2×#66960C2211yescharacteristic, complemented
44C2×#66954C2211yescharacteristic, complemented
45#10623249C2211yescharacteristic
46D11×#127C2211yescharacteristic
47#10623237—21no—
48#10623233—21no—
49#10623225C2211yescharacteristic, complemented
50#10623223—21no—
51#10623219C2211yescharacteristic, complemented
52#10623216—21no—
53#10623195—21no—
54#10623191—21no—
55#10623172C2211yescharacteristic, complemented
56#10623166C2211yescharacteristic, complemented
57#10623159C2211yescharacteristic, complemented
58#10623159C2211yescharacteristic, complemented
59#10623140—21no—
60#10623138C2211yescharacteristic
61#10623138C2211yescharacteristic
62#10623130C2211yescharacteristic
63#10623130C2211yescharacteristic
64#10623127—21no—
65#10623123—21no—
66#10623123—21no—
67#10623121—21no—
68#10623121—21no—
69#10623112C2211yescharacteristic, complemented
70C4×Q8×D11C2211yescharacteristic, complemented
71#10623084C2211yescharacteristic
72D4×D44C2211yescharacteristic
73#10623079C2211yescharacteristic
74#10623072C2211yescharacteristic, complemented
75C4×#4341C2211yescharacteristic
76#10623064—21no—
77#10623064C2211yescharacteristic, complemented
78#10623059—21no—
79#10623054C2211yescharacteristic, complemented
80#10623042C2211yescharacteristic, complemented
81#10623035C2211yescharacteristic, complemented
82C11×#490C2211yescharacteristic, complemented
83C11×#482C2211yescharacteristic, complemented
84C11×#480C2211yescharacteristic, complemented
85C11×#478C2211yescharacteristic, complemented
86C11×#468C2211yescharacteristic, complemented
87C11×#465C2211yescharacteristic, complemented
88C11×#460C2211yescharacteristic, complemented
89C11×#450C2211yescharacteristic, complemented
90C11×#450C2211yescharacteristic, complemented
91C11×#440C2211yescharacteristic, complemented
92C11×#435C2211yescharacteristic, complemented
93C11×#418C2211yescharacteristic, complemented
94C2×C11×#102C2211yescharacteristic, complemented
95#10622831C2211yescharacteristic, complemented
96#10622831C2211yescharacteristic, complemented
97#10622828C2211yescharacteristic, complemented
98C2×#66896C2211yescharacteristic, complemented
99#10622787C2211yescharacteristic, complemented
100#10622786C2211yescharacteristic, complemented
101#10622786C2211yescharacteristic, complemented
102#10622784C2211yescharacteristic, complemented
103#10622782C2211yescharacteristic, complemented
104#10622782C2211yescharacteristic, complemented
105#10622776C2211yescharacteristic, complemented
106#10622776C2211yescharacteristic, complemented
107SD16×Dic11C2211yescharacteristic, complemented
108#10622747C2211yescharacteristic, complemented
109#10622746C2211yescharacteristic, complemented
110#10622741C2211yescharacteristic, complemented
111#10622727C2211yescharacteristic, complemented
112#10622726C2211yescharacteristic, complemented
113C8×C22⋊D11C2211yescharacteristic, complemented
114#10622688C2211yescharacteristic, complemented
115#10622684C2211yescharacteristic, complemented
116#10622680C2211yescharacteristic, complemented
117#10622676C2211yescharacteristic, complemented
118#10622662C2211yescharacteristic, complemented
119#10622661C2211yescharacteristic, complemented
120#10622660C2211yescharacteristic, complemented
121#10622660C2211yescharacteristic, complemented
122#10622655C2211yescharacteristic, complemented
123#10622654C2211yescharacteristic, complemented
124#10622648C2211yescharacteristic, complemented
125#10622646C2211yescharacteristic, complemented
126#10622643C2211yescharacteristic, complemented
127#10622640C2211yescharacteristic, complemented
128#10622631C2211yescharacteristic, complemented
129#10622624C2211yescharacteristic, complemented
130#10622622C2211yescharacteristic, complemented
131#10622616C2211yescharacteristic, complemented
132#10622615C2211yescharacteristic, complemented
133#10622581C2211yescharacteristic, complemented
134#10622579C2211yescharacteristic, complemented
135#10622499C2211yescharacteristic, complemented
136#10622498C2211yescharacteristic, complemented
137#10622495C2211yescharacteristic, complemented
138#10622495C2211yescharacteristic, complemented
139#10622494C2211yescharacteristic, complemented
140#10622493C2211yescharacteristic, complemented
141#10622488C2211yescharacteristic, complemented
142#10622486C2211yescharacteristic, complemented
143#10622479C2211yescharacteristic, complemented
144#10622477C2211yescharacteristic, complemented
145#10622473C2211yescharacteristic, complemented
146#10622467C2211yescharacteristic, complemented
147#10622461C2211yescharacteristic, complemented
148#10622449C2211yescharacteristic, complemented
149D11×C4⋊C8C2211yescharacteristic, complemented
150#10622442C2211yescharacteristic, complemented
151#10622425C2211yescharacteristic, complemented
152#10622420C2211yescharacteristic, complemented
153#10622415C2211yescharacteristic, complemented
154#10622403C2211yescharacteristic, complemented
155#10622397C2211yescharacteristic, complemented
156#10622396C2211yescharacteristic, complemented
157#10622396C2211yescharacteristic, complemented
158#10622393C2211yescharacteristic, complemented
159#10622392C2211yescharacteristic, complemented
160#10622391C2211yescharacteristic, complemented
161#10622390C2211yescharacteristic, complemented
162#10622390C2211yescharacteristic, complemented
163#10622389C2211yescharacteristic, complemented
164#10622389C2211yescharacteristic, complemented
165#10622385C2211yescharacteristic
166#10622385C2211yescharacteristic
167#10622385C2211yescharacteristic, complemented
168#10622385C2211yescharacteristic, complemented
169#10622384C2211yescharacteristic
170#10622384C2211yescharacteristic, complemented
171#10622384C2211yescharacteristic, complemented
172#10622383C2211yescharacteristic, complemented
173#10622383C2211yescharacteristic, complemented
174#10622383C2211yescharacteristic, complemented
175#10622383C2211yescharacteristic, complemented
176#10622383C2211yescharacteristic, complemented
177#10622383C2211yescharacteristic, complemented
178D11×#102C2211yescharacteristic, complemented
179D11×#102C2211yescharacteristic, complemented
180D11×#102C2211yescharacteristic, complemented
181D11×#102C2211yescharacteristic, complemented
182#10622375C2211yescharacteristic, complemented
183#10622375C2211yescharacteristic, complemented
184#10622374C2211yescharacteristic, complemented
185#10622373C2211yescharacteristic, complemented
186#10622373C2211yescharacteristic, complemented
187#10622373C2211yescharacteristic, complemented
188#10622373C2211yescharacteristic, complemented
189#10622372C2211yescharacteristic, complemented
190#10622371C2211yescharacteristic, complemented
191#10622350C2211yescharacteristic, complemented
192#10622348C2211yescharacteristic, complemented
193#10622346C2211yescharacteristic, complemented
194#10622346C2211yescharacteristic, complemented
195#10622342C2211yescharacteristic, complemented
196#10622340C2211yescharacteristic, complemented
197#10622340C2211yescharacteristic, complemented
198(C22⋊D11)⋊C8C2211yescharacteristic, complemented
199#10622329C2211yescharacteristic, complemented
200#10622326C2211yescharacteristic, complemented
201#10622320C2211yescharacteristic, complemented
202#10622319C2211yescharacteristic, complemented
203C22×D4×C11—21no—
204C22×D4×C11C2311yescharacteristic
205C22×D4×C11C2311yescharacteristic
206C22×C22⋊D11—21no—
207C22×C22⋊D11—21no—
208C22×C22⋊D11—21no—
209C22×C22⋊D11—21no—
210C22×C22⋊D11—21no—
211C22×C22⋊D11—21no—
212C2×Q8×D11C2311yescharacteristic
213#67037—24no—
214#67037—24no—
215#67037—42no—
216#67037—42no—
217C2×#4341—21no—
218C2×#4341—21no—
219C2×#4341C2311yescharacteristic
220C2×#4341C2311yescharacteristic
221C2×#4341C2311yescharacteristic
222C2×D4×D11—21no—
223C2×D4×D11—21no—
224C2×D4×D11—21no—
225C2×D4×D11—21no—
226C2×D4×D11C2311yescharacteristic
227C2×D4×D11C2311yescharacteristic
228C2×D4×D11C2311yescharacteristic
229C2×D4×D11C2311yescharacteristic
230C2×#4339C2311yescharacteristic
231C2×#4339C2311yescharacteristic
232C2×#4339C2311yescharacteristic
233C2×#4339C2311yescharacteristic
234C22×D44—21no—
235C2×C11×SD16C2311yescharacteristic
236C2×C11×SD16C2311yescharacteristic
237C2×C11×SD16C2311yescharacteristic
238C2×C11×M16C2311yescharacteristic
239C22×C8×C11C2311yescharacteristic
240C11×#127C2311yescharacteristic
241C11×#126—21no—
242C11×#125—21no—
243C11×#125C2311yescharacteristic
244C11×#123—21no—
245C11×C22⋊Q8C2311yescharacteristic
246C11×C22⋊Q8C2311yescharacteristic
247C11×#121—21no—
248C11×#121C2311yescharacteristic
249C11×#121C2311yescharacteristic
250C11×#120—21no—
251C11×#120—21no—
252C4×Q8×C11C2311yescharacteristic
253C4×D4×C11C2311yescharacteristic
254C4×D4×C11C2311yescharacteristic
255C11×#117—21no—
256C11×#117C2311yescharacteristic
257C2×C11×C4⋊C4C2311yescharacteristic
258#67006—21no—
259#67006—21no—
260#66999C2311yescharacteristic
261#66999C2311yescharacteristic
262Q8×Dic11C2311yescharacteristic
263C2×#4326C2311yescharacteristic
264C2×#4325C2311yescharacteristic
265C2×#4325C2311yescharacteristic
266#66993—21no—
267#66993—21no—
268#66993—21no—
269#66993—21no—
270#66993—21no—
271#66993—21no—
272#66993—21no—
273#66993—21no—
274#66993D411yescharacteristic
275#66993C2311yescharacteristic
276#66993C2311yescharacteristic
277#66992—21no—
278#66992—21no—
279#66992—21no—
280#66992—21no—
281#66992—21no—
282#66992—21no—
283#66991D411yescharacteristic
284#66991C2311yescharacteristic
285#66991C2311yescharacteristic
286#66990—21no—
287#66990—21no—
288#66990—21no—
289#66990—21no—
290#66988—21no—
291D4×Dic11—21no—
292D4×Dic11C2311yescharacteristic
293C2×#4324C2311yescharacteristic
294C2×#4324C2311yescharacteristic
295C2×#4324C2311yescharacteristic
296#66983—21no—
297#66983C2311yescharacteristic
298#66983C2311yescharacteristic
299C4×C22⋊D11—21no—
300C4×C22⋊D11—21no—
301C4×C22⋊D11—21no—
302C4×C22⋊D11—21no—
303C4×C22⋊D11C2311yescharacteristic
304C4×C22⋊D11C2311yescharacteristic
305#66979C2311yescharacteristic
306C2×C4⋊Dic11C2311yescharacteristic
307#66977—21no—
308#66977C2311yescharacteristic
309#66977C2311yescharacteristic
310C2×C4×Dic11—21no—
311C2×#4318C2311yescharacteristic
312C22×C11⋊C8C2311yescharacteristic
313#66968—24no—
314SD16×D11—42no—
315SD16×D11—42no—
316#66960—42no—
317C2×Dic44C2311yescharacteristic
318C2×#4314C2311yescharacteristic
319C2×#4314C2311yescharacteristic
320#66954—42no—
321C2×#4313C2311yescharacteristic
322C2×#4313C2311yescharacteristic
323C2×#4313C2311yescharacteristic
324C2×#4313C2311yescharacteristic
325C2×C8×D11C2311yescharacteristic
326C2×C8×D11C2311yescharacteristic
327C2×C8×D11C2311yescharacteristic
328C2×C8×D11C2311yescharacteristic
329#66951—21no—
330#66951—21no—
331#66950—21no—
332#66950C2311yescharacteristic
333#66950C2311yescharacteristic
334#66949—21no—
335#66949—21no—
336#66949—21no—
337#66948D411yescharacteristic
338#66948C2311yescharacteristic
339#66948C2311yescharacteristic
340#66947—21no—
341#66947—21no—
342#66947—21no—
343#66947—21no—
344#66946—21no—
345#66946—21no—
346#66945—21no—
347#66945C2311yescharacteristic
348#66945C2311yescharacteristic
349#66945C2311yescharacteristic
350#66945C2311yescharacteristic
351#66945C2311yescharacteristic
352C4⋊C4×D11—21no—
353C4⋊C4×D11C2311yescharacteristic
354C4⋊C4×D11C2311yescharacteristic
355C4⋊C4×D11C2311yescharacteristic
356#66943—21no—
357#66942—21no—
358#66942—21no—
359#66942—21no—
360#66942—21no—
361#66941—21no—
362#66941—21no—
363#66941D411yescharacteristic
364#66941C2311yescharacteristic
365#66941C2311yescharacteristic
366#66940—21no—
367#66940—21no—
368#66940—21no—
369#66940—21no—
370#66940—21no—
371#66940C2311yescharacteristic
372#66940C2311yescharacteristic
373#66938—21no—
374#66938—21no—
375#66938—21no—
376#66938—21no—
377#66938—21no—
378#66938—21no—
379#66938D411yescharacteristic
380#66938D411yescharacteristic
381#66937—21no—
382#66937—21no—
383#66937—21no—
384#66937—21no—
385#66937D411yescharacteristic
386#66937D411yescharacteristic
387#66936—21no—
388#66936—21no—
389#66935—21no—
390#66935—21no—
391#66935—21no—
392#66935—21no—
393(C22⋊D11)⋊C4—21no—
394(C22⋊D11)⋊C4—21no—
395(C22⋊D11)⋊C4—21no—
396(C22⋊D11)⋊C4—21no—
397(C22⋊D11)⋊C4—21no—
398(C22⋊D11)⋊C4—21no—
399#66932—21no—
400#66932—21no—
401#66932—21no—
402#66931—21no—
403#66930—21no—
404#66930—21no—
405#66929—21no—
406#66929—21no—
407#66927C2311yescharacteristic
408C4×D44—21no—
409C4×D44C2311yescharacteristic
410#66925—21no—
411C42×D11—21no—
412C42×D11C2311yescharacteristic
413#66923C2311yescharacteristic
414C4×Dic22—21no—
415C4×Dic22—21no—
416C4×Dic22—21no—
417C4×Dic22C2311yescharacteristic
418C4×Dic22C2311yescharacteristic
419C11×#107C2311yescharacteristic
420C11×#107C2311yescharacteristic
421C11×#106C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×#103C2311yescharacteristic
424C11×#102C2311yescharacteristic
425C11×#102C2311yescharacteristic
426C11×#102C2311yescharacteristic
427C11×#102C2311yescharacteristic
428C11×#102C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×C22⋊C8C2311yescharacteristic
434C11×C22⋊C8C2311yescharacteristic
435C11×#97C2311yescharacteristic
436#66899C2311yescharacteristic
437#66896C2311yescharacteristic
438#66896C2311yescharacteristic
439#66896C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446C22⋊(C11⋊C8)C2311yescharacteristic
447C22⋊(C11⋊C8)C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451#66885C2311yescharacteristic
452#66885C2311yescharacteristic
453#66885C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456(C2×D11)⋊C8C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458#66882C2311yescharacteristic
459#66881C2311yescharacteristic
460#66881C2311yescharacteristic
461#66880C2311yescharacteristic
462#66880C2311yescharacteristic
463#66880C2311yescharacteristic
464#66880C2311yescharacteristic
465Dic11⋊C8C2311yescharacteristic
466Dic11⋊C8C2311yescharacteristic
467C8×Dic11C2311yescharacteristic
468C8×Dic11C2311yescharacteristic
469#66874C2311yescharacteristic
470#66874C2311yescharacteristic
471#66874C2311yescharacteristic
472#66874C2311yescharacteristic
473#66873C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66872C2311yescharacteristic
480#66872C2311yescharacteristic
481#66872C2311yescharacteristic
482#66871C2311yescharacteristic
483#66871C2311yescharacteristic
484#66871C2311yescharacteristic
485C4⋊(C11⋊C8)C2311yescharacteristic
486#66867C2311yescharacteristic
487#61206—111nomaximal, Sylow
488C24×C11—21no—
489C24×C11—21no—
490C23×D11—21no—
491C23×D11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C2×Q8×C11C2411yescharacteristic
495C2×D4×C11—22no—
496C2×D4×C11—22no—
497C2×D4×C11—21no—
498C2×D4×C11—21no—
499C2×D4×C11—21no—
500C2×D4×C11—21no—
501C2×D4×C11—21no—
502C2×D4×C11—21no—
503C2×D4×C11—41no—
504C2×D4×C11—41no—
505C2×D4×C11—82no—
506C2×D4×C11C2×D411yescharacteristic
507C2×D4×C11C2411yescharacteristic
508C2×D4×C11C2411yescharacteristic
509C2×D4×C11C2411yescharacteristic
510C22×C4×C11—21no—
511C22×C4×C11—21no—
512C22×C4×C11C2411yescharacteristic
513C22×C4×C11C2411yescharacteristic
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11—21no—
527C2×C22⋊D11—21no—
528C2×C22⋊D11—21no—
529C2×C22⋊D11—21no—
530C2×C22⋊D11—21no—
531C2×C22⋊D11—44no—
532C2×C22⋊D11—44no—
533C2×C22⋊D11—44no—
534C2×C22⋊D11—44no—
535C2×C22⋊D11—82no—
536C2×C22⋊D11—82no—
537C2×C22⋊D11C2×D411yescharacteristic
538C2×C22⋊D11C2×D411yescharacteristic
539C2×C22⋊D11C2×D411yescharacteristic
540C2×C22⋊D11C2×D411yescharacteristic
541C2×C22⋊D11C2×D411yescharacteristic
542C2×C22⋊D11C2×D411yescharacteristic
543C22×Dic11—21no—
544C22×Dic11—21no—
545C22×Dic11—21no—
546C22×Dic11—21no—
547C22×Dic11—21no—
548Q8×D11—22no—
549Q8×D11—22no—
550#4341—22no—
551#4341—22no—
552#4341—22no—
553#4341—41no—
554#4341—41no—
555#4341—44no—
556#4341—44no—
557#4341#4114yes—
558D4×D11—22no—
559D4×D11—22no—
560D4×D11—22no—
561D4×D11—22no—
562D4×D11—22no—
563D4×D11—22no—
564D4×D11—41no—
565D4×D11—41no—
566D4×D11—44no—
567D4×D11—44no—
568D4×D11—82no—
569D4×D11—82no—
570#4339—22no—
571#4339—22no—
572#4339—22no—
573#4339—22no—
574#4339—22no—
575#4339—22no—
576#4339—41no—
577#4339—41no—
578C2×D44—21no—
579C2×D44—21no—
580C2×D44—21no—
581C2×D44—21no—
582C2×D44—82no—
583C2×D44C2×D411yescharacteristic
584C2×D44C2×D411yescharacteristic
585C2×D44C2×D411yescharacteristic
586C2×D44C2411yescharacteristic
587C2×D44C2411yescharacteristic
588C2×C4×D11—21no—
589C2×C4×D11—21no—
590C2×C4×D11—21no—
591C2×C4×D11—21no—
592C2×C4×D11—21no—
593C2×C4×D11—21no—
594C2×C4×D11C2×D411yescharacteristic
595C2×C4×D11C2×D411yescharacteristic
596C2×C4×D11C2411yescharacteristic
597C2×C4×D11C2411yescharacteristic
598C2×C4×D11C2411yescharacteristic
599C2×Dic22—21no—
600C2×Dic22—21no—
601C2×Dic22—21no—
602C2×Dic22C2×D411yescharacteristic
603C2×Dic22C2×D411yescharacteristic
604C2×Dic22C2411yescharacteristic
605C2×Dic22C2411yescharacteristic
606C11×SD16—22no—
607C11×SD16—41no—
608C11×SD16—41no—
609C11×M16—41no—
610C2×C8×C11—41no—
611C2×C8×C11C2411yescharacteristic
612C2×C8×C11C2411yescharacteristic
613C2×C8×C11C2411yescharacteristic
614C2×C8×C11C2411yescharacteristic
615C11×C4⋊C4—21no—
616C11×C4⋊C4—21no—
617C11×C4⋊C4—21no—
618C11×C4⋊C4—21no—
619C11×C4⋊C4—21no—
620C11×C4⋊C4—21no—
621C11×C4⋊C4C2×D411yescharacteristic
622C11×C4⋊C4C2411yescharacteristic
623C11×C4⋊C4C2411yescharacteristic
624C11×C4⋊C4C2411yescharacteristic
625C11×C4⋊C4C2411yescharacteristic
626C11×C22⋊C4—21no—
627C11×C22⋊C4—21no—
628C11×C22⋊C4—21no—
629C11×C22⋊C4—21no—
630C11×C22⋊C4—21no—
631C11×C22⋊C4—21no—
632C11×C22⋊C4C2×D411yescharacteristic
633C11×C22⋊C4C2×D411yescharacteristic
634C42×C11—21no—
635C42×C11—21no—
636C42×C11C2411yescharacteristic
637C22⋊Dic11—21no—
638C22⋊Dic11—21no—
639C22⋊Dic11—21no—
640C22⋊Dic11—21no—
641C22⋊Dic11—21no—
642C22⋊Dic11—21no—
643C22⋊Dic11C2×D411yescharacteristic
644C22⋊Dic11C2×D411yescharacteristic
645#4326—22no—
646#4325—41no—
647#4325—41no—
648#4324—22no—
649#4324—41no—
650#4324—41no—
651(C2×D11)⋊C4—21no—
652(C2×D11)⋊C4—21no—
653(C2×D11)⋊C4—21no—
654(C2×D11)⋊C4—21no—
655(C2×D11)⋊C4—21no—
656(C2×D11)⋊C4—21no—
657(C2×D11)⋊C4—21no—
658(C2×D11)⋊C4—21no—
659(C2×D11)⋊C4—21no—
660(C2×D11)⋊C4—21no—
661(C2×D11)⋊C4—21no—
662(C2×D11)⋊C4—21no—
663(C2×D11)⋊C4—21no—
664(C2×D11)⋊C4C2×D411yescharacteristic
665(C2×D11)⋊C4C2×D411yescharacteristic
666(C2×D11)⋊C4C2×D411yescharacteristic
667(C2×D11)⋊C4C2×D411yescharacteristic
668C4⋊Dic11—21no—
669C4⋊Dic11—21no—
670C4⋊Dic11—21no—
671C4⋊Dic11—21no—
672C4⋊Dic11C2×D411yescharacteristic
673C4⋊Dic11C2411yescharacteristic
674C4⋊Dic11C2411yescharacteristic
675C4⋊Dic11C2411yescharacteristic
676C4⋊Dic11C2411yescharacteristic
677Dic11⋊C4—21no—
678Dic11⋊C4—21no—
679Dic11⋊C4—21no—
680Dic11⋊C4—21no—
681Dic11⋊C4—21no—
682Dic11⋊C4—21no—
683Dic11⋊C4—21no—
684Dic11⋊C4—21no—
685Dic11⋊C4—21no—
686Dic11⋊C4—21no—
687Dic11⋊C4—21no—
688Dic11⋊C4—21no—
689Dic11⋊C4—21no—
690Dic11⋊C4—21no—
691Dic11⋊C4—21no—
692Dic11⋊C4C2×D411yescharacteristic
693Dic11⋊C4C2×D411yescharacteristic
694C4×Dic11—21no—
695C4×Dic11—21no—
696C4×Dic11—21no—
697C4×Dic11—21no—
698C4×Dic11—21no—
699C4×Dic11—21no—
700C4×Dic11—21no—
701C4×Dic11—21no—
702C4×Dic11—21no—
703C4×Dic11—21no—
704C4×Dic11—21no—
705C4×Dic11C2×D411yescharacteristic
706C4×Dic11C2×D411yescharacteristic
707C4×Dic11C2411yescharacteristic
708#4318—41no—
709C2×C11⋊C8—41no—
710C2×C11⋊C8C2411yescharacteristic
711C2×C11⋊C8C2411yescharacteristic
712C2×C11⋊C8C2411yescharacteristic
713C2×C11⋊C8C2411yescharacteristic
714Dic44—22no—
715#4314—41no—
716#4314—41no—
717#4313—22no—
718#4313—22no—
719#4313—41no—
720#4313—41no—
721C8×D11—22no—
722C8×D11—22no—
723C8×D11—41no—
724C8×D11—41no—
725#3507—111no—
726#3498—111no—
727#3333—111no—
728#3333—111no—
729#3324—111no—
730#3324—111no—
731#3317—111no—
732#3317—111no—
733#3317—111no—
734#3317—111no—
735#3310—111no—
736#3310—111no—
737#3310—111no—
738#3310D1111yescharacteristic, complemented
739#3304—111no—
740#3304—111no—
741#3295—111no—
742#3295—111no—
743#3138—111no—
744#3096—111no—
745#3096—111no—
746#3076—111no—
747#3057—111no—
748#3057—111no—
749C2×#460—111no—
750#3009—111no—
751#3009—111no—
752C4×#137—111no—
753#2935—111no—
754#2897—111no—
755#2897—111no—
756C23×C11—21no—
757C23×C11—21no—
758C23×C11—21no—
759C23×C11—42no—
760C23×C11—42no—
761C23×C11—81no—
762C23×C11—81no—
763C23×C11—81no—
764C23×C11—81no—
765C23×C11C22×D411yescharacteristic
766C23×C11C22×D411yescharacteristic
767C22×D11—21no—
768C22×D11—21no—
769C22×D11—42no—
770C22×D11—42no—
771C22×D11—42no—
772C22×D11—42no—
773C22×D11—81no—
774C22×D11—81no—
775C22×D11—81no—
776C22×D11—81no—
777C22×D11—81no—
778C22×D11—81no—
779C22×D11—81no—
780C22×D11—81no—
781C22×D11C22×D411yescharacteristic
782C22×D11C22×D411yescharacteristic
783C22×D11C22×D411yescharacteristic
784Q8×C11—21no—
785Q8×C11—21no—
786D4×C11—21no—
787D4×C11—21no—
788D4×C11—21no—
789D4×C11—21no—
790D4×C11—21no—
791D4×C11—41no—
792D4×C11—42no—
793D4×C11—42no—
794D4×C11—42no—
795D4×C11—81no—
796D4×C11—81no—
797D4×C11—81no—
798D4×C11C2×#4112yes—
799C2×C4×C11—21no—
800C2×C4×C11—21no—
801C2×C4×C11—21no—
802C2×C4×C11—21no—
803C2×C4×C11—21no—
804C2×C4×C11—21no—
805C2×C4×C11—21no—
806C2×C4×C11—21no—
807C2×C4×C11—21no—
808C2×C4×C11—42no—
809C2×C4×C11—81no—
810C2×C4×C11C22×D411yescharacteristic
811C2×C4×C11C22×D411yescharacteristic
812C2×C4×C11C22×D411yescharacteristic
813C2×C4×C11C22×D411yescharacteristic
814C2×C4×C11C2511yescharacteristic
815C22⋊D11—22no—
816C22⋊D11—22no—
817C22⋊D11—24no—
818C22⋊D11—22no—
819C22⋊D11—22no—
820C22⋊D11—22no—
821C22⋊D11—22no—
822C22⋊D11—42no—
823C22⋊D11—42no—
824C22⋊D11—42no—
825C22⋊D11—42no—
826C22⋊D11—42no—
827C22⋊D11—42no—
828C22⋊D11—42no—
829C22⋊D11—42no—
830C22⋊D11—42no—
831C22⋊D11—42no—
832C22⋊D11—81no—
833C22⋊D11—81no—
834C22⋊D11—81no—
835C22⋊D11—81no—
836C22⋊D11—81no—
837C22⋊D11—81no—
838C2×Dic11—21no—
839C2×Dic11—24no—
840C2×Dic11—21no—
841C2×Dic11—21no—
842C2×Dic11—21no—
843C2×Dic11—21no—
844C2×Dic11—21no—
845C2×Dic11—42no—
846C2×Dic11—42no—
847C2×Dic11—42no—
848C2×Dic11—81no—
849C2×Dic11C22×D411yescharacteristic
850C2×Dic11C22×D411yescharacteristic
851C2×Dic11C22×D411yescharacteristic
852C2×Dic11C22×D411yescharacteristic
853C2×Dic11C22×D411yescharacteristic
854D44—22no—
855D44—22no—
856D44—21no—
857D44—21no—
858D44—21no—
859D44—21no—
860D44—41no—
861D44—42no—
862D44—81no—
863D44—81no—
864D44—81no—
865C4×D11—21no—
866C4×D11—21no—
867C4×D11—21no—
868C4×D11—21no—
869C4×D11—22no—
870C4×D11—41no—
871C4×D11—42no—
872C4×D11—42no—
873C4×D11—42no—
874C4×D11—81no—
875C4×D11—81no—
876C4×D11—81no—
877C4×D11C2×#4112yes—
878C4×D11H(5,𝔽2)12yes—
879Dic22—21no—
880Dic22—22no—
881Dic22—22no—
882Dic22—21no—
883Dic22—21no—
884Dic22—42no—
885Dic22—42no—
886Dic22—81no—
887Dic22C2×#4112yes—
888C8×C11—21no—
889C8×C11—21no—
890C8×C11—21no—
891C8×C11—21no—
892C11⋊C8—21no—
893C11⋊C8—21no—
894C11⋊C8—21no—
895C11⋊C8—21no—
896C2×H(5,𝔽2)—111no—
897C2×H(5,𝔽2)—111no—
898C2×#137—111no—
899C22×SD16—111no—
900C22×SD16—111no—
901C2×#131—111no—
902C2×#131—111no—
903#559—221no—
904#557—221no—
905#556—111no—
906#556—111no—
907#556—221no—
908#556—221no—
909#554—111no—
910#554—111no—
911#552—111no—
912#552—111no—
913#552—111no—
914#552C2×D1111yescharacteristic, complemented
915#550—111no—
916#550—111no—
917#550—111no—
918#550—111no—
919D42—111no—
920D42—111no—
921D42—111no—
922D42—221no—
923D42—221no—
924D42—221no—
925D42—221no—
926D42C2×D1111yescharacteristic
927#539—221no—
928#539—221no—
929#536—111no—
930#536—111no—
931#535—111no—
932#535—111no—
933#535—221no—
934#535—221no—
935#533—111no—
936#532—111no—
937#532—221no—
938C2×#127—111no—
939C2×#127—221no—
940#529—221no—
941#529—221no—
942#520—111no—
943#520—111no—
944C4×#41—111no—
945C2×C4×Q8—111no—
946#490—111no—
947#490—111no—
948#490—111no—
949#490C2×D1111yescharacteristic, complemented
950#486—111no—
951#486—111no—
952#486—111no—
953#486—111no—
954#482—111no—
955#482—111no—
956#482—111no—
957#482—111no—
958#482—111no—
959#482—111no—
960#482—111no—
961#482C2×D1111yescharacteristic, complemented
962#481—111no—
963#481—111no—
964#481—111no—
965#481—111no—
966#480—111no—
967#480—111no—
968#480—111no—
969#480C2×D1111yescharacteristic, complemented
970#479—111no—
971#479—111no—
972#478—111no—
973#478C2×D1111yescharacteristic, complemented
974#477—111no—
975#476—111no—
976#475—111no—
977#474—111no—
978#468—111no—
979#468—111no—
980#468—111no—
981#468—111no—
982#468—111no—
983#468—111no—
984#468—111no—
985#468C2×D1111yescharacteristic, complemented
986#465—111no—
987#465—111no—
988#465—111no—
989#465—111no—
990#465—111no—
991#465—111no—
992#465—111no—
993#465C2×D1111yescharacteristic, complemented
994#460—111no—
995#460—111no—
996#460—111no—
997#460—111no—
998#460—111no—
999#460—111no—
1000#460—111no—
1001#460C2×D1111yescharacteristic, complemented
1002#452—111no—
1003#452—111no—
1004#452—111no—
1005#452—111no—
1006#452—111no—
1007#452—111no—
1008#452—111no—
1009#452—111no—
1010#450—111no—
1011#450—111no—
1012#450—111no—
1013#450—111no—
1014#450—111no—
1015#450—111no—
1016#450C2×D1111yescharacteristic, complemented
1017#450C2×D1111yescharacteristic, complemented
1018#441—111no—
1019#441—111no—
1020#440—111no—
1021#440C2×D1111yescharacteristic, complemented
1022C4×Q16—111no—
1023C4×Q16—111no—
1024C4×SD16—111no—
1025C4×SD16—111no—
1026#436—111no—
1027#436—111no—
1028#435—111no—
1029#435—111no—
1030#435—111no—
1031#435C2×D1111yescharacteristic, complemented
1032C8×D4—111no—
1033C8×D4—111no—
1034#428—111no—
1035#427—111no—
1036#427—111no—
1037C2×C4⋊C8—111no—
1038#419—111no—
1039#418—111no—
1040#418—111no—
1041#418—111no—
1042#418—111no—
1043#418—111no—
1044#418—111no—
1045#418—111no—
1046#418C2×D1111yescharacteristic, complemented
1047#417—111no—
1048#417—111no—
1049#417—111no—
1050#417—111no—
1051#417—111no—
1052#416—111no—
1053#416—111no—
1054#416—111no—
1055#416—111no—
1056#416—111no—
1057#416—111no—
1058C2×#102—111no—
1059C2×#102—111no—
1060C2×#102—111no—
1061C2×#102—111no—
1062C2×#102—111no—
1063C2×#102C2×D1111yescharacteristic, complemented
1064#408—111no—
1065#408—111no—
1066C4×M16—111no—
1067C22×C11—21no—
1068C22×C11—21no—
1069C22×C11—21no—
1070C22×C11—21no—
1071C22×C11—22no—
1072C22×C11—21no—
1073C22×C11—21no—
1074C22×C11—41no—
1075C22×C11—41no—
1076C22×C11—41no—
1077C22×C11—41no—
1078C22×C11—41no—
1079C22×C11—41no—
1080C22×C11—41no—
1081C22×C11—41no—
1082C22×C11—162no—
1083C22×C11—162no—
1084C22×C11C23×D411yescharacteristic
1085C2×D11—21no—
1086C2×D11—21no—
1087C2×D11—21no—
1088C2×D11—21no—
1089C2×D11—21no—
1090C2×D11—21no—
1091C2×D11—21no—
1092C2×D11—21no—
1093C2×D11—41no—
1094C2×D11—41no—
1095C2×D11—41no—
1096C2×D11—41no—
1097C2×D11—41no—
1098C2×D11—41no—
1099C2×D11—162no—
1100C2×D11—162no—
1101C2×D11—162no—
1102C2×D11—162no—
1103C2×D11#54612yes—
1104C4×C11—21no—
1105C4×C11—21no—
1106C4×C11—21no—
1107C4×C11—21no—
1108C4×C11—41no—
1109C4×C11—41no—
1110C4×C11—41no—
1111C4×C11—41no—
1112C4×C11—41no—
1113C4×C11C22×#4111yescharacteristic
1114C4×C11C2×H(5,𝔽2)11yescharacteristic
1115Dic11—21no—
1116Dic11—21no—
1117Dic11—21no—
1118Dic11—22no—
1119Dic11—41no—
1120Dic11—41no—
1121Dic11—41no—
1122Dic11—41no—
1123Dic11—41no—
1124Dic11#54612yes—
1125Dic11#57712yes—
1126H(5,𝔽2)—224no—
1127H(5,𝔽2)—224no—
1128H(5,𝔽2)—442no—
1129H(5,𝔽2)—442no—
1130C2×#41—111no—
1131C2×#41—111no—
1132C2×#41—111no—
1133C2×#41—111no—
1134C2×#41—111no—
1135C2×#41—111no—
1136C2×#41—111no—
1137C2×#41—221no—
1138C2×#41—221no—
1139C22×Q8—111no—
1140C22×D4—21no—
1141C22×D4—111no—
1142C22×D4—111no—
1143C22×D4—111no—
1144C22×D4—111no—
1145C22×D4—221no—
1146C22×D4—221no—
1147C22×D4—221no—
1148C22×D4—221no—
1149C22×D4—221no—
1150C22×D4—221no—
1151C22×D4—221no—
1152C22×D4—221no—
1153C22×D4—221no—
1154C22×D4—221no—
1155C22×D4—221no—
1156C22×D4C22×D1111yescharacteristic
1157C22×D4C22×D1111yescharacteristic
1158#137—224no—
1159C2×Q16—111no—
1160C2×Q16—111no—
1161C2×SD16—111no—
1162C2×SD16—111no—
1163C2×SD16—111no—
1164C2×SD16—111no—
1165C2×SD16—111no—
1166C2×SD16—111no—
1167C2×SD16—111no—
1168C2×SD16—442no—
1169C2×SD16—442no—
1170C2×SD16C22×D1111yescharacteristic
1171C2×SD16C22×D1111yescharacteristic
1172C2×SD16C22×D1111yescharacteristic
1173#131—442no—
1174#131—442no—
1175C2×M16—111no—
1176C2×M16—111no—
1177C2×M16—111no—
1178C2×M16—111no—
1179C2×M16—111no—
1180C2×M16C22×D1111yescharacteristic
1181C22×C8—111no—
1182C22×C8—111no—
1183C22×C8—111no—
1184C22×C8—111no—
1185C22×C8—111no—
1186C22×C8C22×D1111yescharacteristic
1187C4⋊Q8—111no—
1188C4⋊Q8—111no—
1189C4⋊Q8—111no—
1190C4⋊Q8—221no—
1191C4⋊Q8—221no—
1192#127—111no—
1193#127—111no—
1194#127—111no—
1195#127—111no—
1196#127—221no—
1197#127—221no—
1198#127—221no—
1199#127—221no—
1200#127—221no—
1201#127—221no—
1202#127—221no—
1203#127—221no—
1204#127C22×D1111yescharacteristic
1205#126—21no—
1206#126—221no—
1207#126—221no—
1208#126—221no—
1209#126—221no—
1210#126—221no—
1211#126—221no—
1212#126—221no—
1213#125—21no—
1214#125—111no—
1215#125—221no—
1216#125—221no—
1217#125—221no—
1218#125—221no—
1219#125—221no—
1220#125C22×D1111yescharacteristic
1221#124—111no—
1222#124—111no—
1223#124—221no—
1224#124—221no—
1225#124—221no—
1226#124—221no—
1227#124—221no—
1228#124—221no—
1229#123—21no—
1230#123—221no—
1231#123—221no—
1232#123—221no—
1233#123—221no—
1234#123—221no—
1235#123—221no—
1236#123—221no—
1237C22⋊Q8—111no—
1238C22⋊Q8—111no—
1239C22⋊Q8—111no—
1240C22⋊Q8—111no—
1241C22⋊Q8—111no—
1242C22⋊Q8—111no—
1243C22⋊Q8—221no—
1244C22⋊Q8—221no—
1245C22⋊Q8—221no—
1246C22⋊Q8—221no—
1247C22⋊Q8—221no—
1248C22⋊Q8—221no—
1249C22⋊Q8C22×D1111yescharacteristic
1250C22⋊Q8C22×D1111yescharacteristic
1251#121—21no—
1252#121—111no—
1253#121—111no—
1254#121—111no—
1255#121—111no—
1256#121—111no—
1257#121—111no—
1258#121—111no—
1259#121—111no—
1260#121—111no—
1261#121—111no—
1262#121—221no—
1263#121—221no—
1264#121—221no—
1265#121—221no—
1266#121—221no—
1267#121—221no—
1268#121—221no—
1269#121—221no—
1270#121—221no—
1271#121—221no—
1272#121—221no—
1273#121C22×D1111yescharacteristic
1274#121C22×D1111yescharacteristic
1275#120—21no—
1276#120—21no—
1277#120—221no—
1278#120—221no—
1279#120—221no—
1280#120—221no—
1281#120—221no—
1282#120—221no—
1283#120—221no—
1284#120—221no—
1285#120—221no—
1286#120—221no—
1287C4×Q8—111no—
1288C4×Q8—111no—
1289C4×Q8—111no—
1290C4×Q8—111no—
1291C4×Q8—111no—
1292C4×Q8—221no—
1293C4×Q8—221no—
1294C4×Q8—221no—
1295C4×Q8—221no—
1296C4×Q8—221no—
1297C4×Q8—221no—
1298C4×Q8—221no—
1299C4×Q8—221no—
1300C4×Q8C22×D1111yescharacteristic
1301C4×D4—111no—
1302C4×D4—111no—
1303C4×D4—111no—
1304C4×D4—111no—
1305C4×D4—221no—
1306C4×D4—221no—
1307C4×D4—221no—
1308C4×D4—221no—
1309C4×D4—221no—
1310C4×D4—221no—
1311C4×D4—221no—
1312C4×D4—221no—
1313C4×D4—221no—
1314C4×D4—221no—
1315C4×D4—221no—
1316C4×D4—221no—
1317C4×D4—221no—
1318C4×D4—221no—
1319C4×D4C22×D1111yescharacteristic
1320C4×D4C22×D1111yescharacteristic
1321#117—21no—
1322#117—111no—
1323#117—111no—
1324#117—111no—
1325#117—111no—
1326#117—111no—
1327#117—111no—
1328#117—221no—
1329#117—221no—
1330#117—221no—
1331#117—221no—
1332#117C22×D1111yescharacteristic
1333C2×C4⋊C4—111no—
1334C2×C4⋊C4—111no—
1335C2×C4⋊C4—111no—
1336C2×C4⋊C4—111no—
1337C2×C4⋊C4—221no—
1338C2×C4⋊C4C22×D1111yescharacteristic
1339C2×C42—111no—
1340C2×C42—221no—
1341C2×C42—221no—
1342#107—111no—
1343#107—111no—
1344#107—111no—
1345#107—111no—
1346#107C22×D1111yescharacteristic
1347#107C22×D1111yescharacteristic
1348#106—111no—
1349#106—111no—
1350#106—111no—
1351#106—111no—
1352#106—111no—
1353#106C22×D1111yescharacteristic
1354C4⋊C8—111no—
1355C4⋊C8—111no—
1356C4⋊C8—111no—
1357C4⋊C8C22×D1111yescharacteristic
1358#103—111no—
1359#103—111no—
1360#103—111no—
1361#103—111no—
1362#103—111no—
1363#103—111no—
1364#103—111no—
1365#103—111no—
1366#103—111no—
1367#103C22×D1111yescharacteristic
1368#102—111no—
1369#102—111no—
1370#102—111no—
1371#102—111no—
1372#102—111no—
1373#102—111no—
1374#102—111no—
1375#102—111no—
1376#102—111no—
1377#102—111no—
1378#102—111no—
1379#102—111no—
1380#102—111no—
1381#102—111no—
1382#102—111no—
1383#102—111no—
1384#102—111no—
1385#102—111no—
1386#102—111no—
1387#102—111no—
1388#102—111no—
1389#102C22×D1111yescharacteristic
1390#102C22×D1111yescharacteristic
1391#102C22×D1111yescharacteristic
1392#102C22×D1111yescharacteristic
1393#102C22×D1111yescharacteristic
1394#102C22×D1111yescharacteristic
1395#102C22×D1111yescharacteristic
1396#102C22×D1111yescharacteristic
1397#102C22×D1111yescharacteristic
1398C22⋊C8—111no—
1399C22⋊C8—111no—
1400C22⋊C8—111no—
1401C22⋊C8—111no—
1402C22⋊C8—111no—
1403C22⋊C8—111no—
1404C22⋊C8C22×D1111yescharacteristic
1405C22⋊C8C22×D1111yescharacteristic
1406#97—111no—
1407#97C22×D1111yescharacteristic
1408C4×C8—111no—
1409C4×C8—111no—
1410C2×C11—42no—
1411C2×C11—41no—
1412C2×C11—41no—
1413C2×C11—81no—
1414C2×C11—81no—
1415C2×C11C2×#54611yescharacteristic
1416C2×C11C2×#57711yescharacteristic
1417C2×C11#358511yescharacteristic
1418D11—22no—
1419D11—41no—
1420D11—41no—
1421D11—81no—
1422D11—81no—
1423C24—21no—
1424C24—21no—
1425C24—221no—
1426C24—221no—
1427C24—221no—
1428C24—221no—
1429#41—114no—
1430#41—222no—
1431#41—222no—
1432#41—222no—
1433#41—222no—
1434#41—222no—
1435#41—222no—
1436#41—222no—
1437#41—222no—
1438#41—222no—
1439#41—441no—
1440#41—441no—
1441#41—441no—
1442#41—441no—
1443#41—444no—
1444#41—444no—
1445C2×Q8—111no—
1446C2×Q8—111no—
1447C2×Q8—111no—
1448C2×Q8—111no—
1449C2×Q8—221no—
1450C2×Q8—221no—
1451C2×Q8—221no—
1452C2×Q8—222no—
1453C2×Q8—222no—
1454C2×Q8C23×D1111yescharacteristic
1455C2×D4—22no—
1456C2×D4—22no—
1457C2×D4—21no—
1458C2×D4—21no—
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—41no—
1464C2×D4—41no—
1465C2×D4—82no—
1466C2×D4—111no—
1467C2×D4—111no—
1468C2×D4—111no—
1469C2×D4—111no—
1470C2×D4—111no—
1471C2×D4—111no—
1472C2×D4—111no—
1473C2×D4—111no—
1474C2×D4—111no—
1475C2×D4—111no—
1476C2×D4—111no—
1477C2×D4—221no—
1478C2×D4—221no—
1479C2×D4—222no—
1480C2×D4—222no—
1481C2×D4—222no—
1482C2×D4—222no—
1483C2×D4—221no—
1484C2×D4—221no—
1485C2×D4—221no—
1486C2×D4—221no—
1487C2×D4—221no—
1488C2×D4—221no—
1489C2×D4—221no—
1490C2×D4—221no—
1491C2×D4—221no—
1492C2×D4—222no—
1493C2×D4—222no—
1494C2×D4—221no—
1495C2×D4—221no—
1496C2×D4—221no—
1497C2×D4—221no—
1498C2×D4—221no—
1499C2×D4—221no—
1500C2×D4—221no—
1501C2×D4—221no—
1502C2×D4—221no—
1503C2×D4—221no—
1504C2×D4—441no—
1505C2×D4—441no—
1506C2×D4—444no—
1507C2×D4—444no—
1508C2×D4—444no—
1509C2×D4—444no—
1510C2×D4—444no—
1511C2×D4—444no—
1512C2×D4—882no—
1513C2×D4—882no—
1514C2×D4—882no—
1515C2×D4—882no—
1516C2×D4—882no—
1517C2×D4D4×D1111yescharacteristic
1518C2×D4C23×D1111yescharacteristic
1519C2×D4C23×D1111yescharacteristic
1520C2×D4C23×D1111yescharacteristic
1521C22×C4—21no—
1522C22×C4—21no—
1523C22×C4—111no—
1524C22×C4—111no—
1525C22×C4—111no—
1526C22×C4—111no—
1527C22×C4—111no—
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×C4C23×D1111yescharacteristic
1540C22×C4C23×D1111yescharacteristic
1541Q16—222no—
1542Q16—222no—
1543SD16—22no—
1544SD16—41no—
1545SD16—41no—
1546SD16—222no—
1547SD16—441no—
1548SD16—441no—
1549SD16—441no—
1550SD16—441no—
1551SD16—441no—
1552SD16—441no—
1553M16—41no—
1554M16—222no—
1555M16—222no—
1556M16—441no—
1557M16—441no—
1558M16—441no—
1559C2×C8—41no—
1560C2×C8—111no—
1561C2×C8—111no—
1562C2×C8—111no—
1563C2×C8—111no—
1564C2×C8—222no—
1565C2×C8—222no—
1566C2×C8—441no—
1567C2×C8—441no—
1568C2×C8—441no—
1569C2×C8C23×D1111yescharacteristic
1570C2×C8C23×D1111yescharacteristic
1571C2×C8C23×D1111yescharacteristic
1572C2×C8C23×D1111yescharacteristic
1573C4⋊C4—21no—
1574C4⋊C4—21no—
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—111no—
1580C4⋊C4—111no—
1581C4⋊C4—111no—
1582C4⋊C4—111no—
1583C4⋊C4—111no—
1584C4⋊C4—111no—
1585C4⋊C4—111no—
1586C4⋊C4—221no—
1587C4⋊C4—221no—
1588C4⋊C4—221no—
1589C4⋊C4—221no—
1590C4⋊C4—221no—
1591C4⋊C4—221no—
1592C4⋊C4—221no—
1593C4⋊C4—221no—
1594C4⋊C4—221no—
1595C4⋊C4—221no—
1596C4⋊C4—221no—
1597C4⋊C4—221no—
1598C4⋊C4—221no—
1599C4⋊C4—221no—
1600C4⋊C4—221no—
1601C4⋊C4—221no—
1602C4⋊C4—221no—
1603C4⋊C4—221no—
1604C4⋊C4—221no—
1605C4⋊C4D4×D1111yescharacteristic
1606C4⋊C4C23×D1111yescharacteristic
1607C4⋊C4C23×D1111yescharacteristic
1608C4⋊C4C23×D1111yescharacteristic
1609C4⋊C4C23×D1111yescharacteristic
1610C22⋊C4—21no—
1611C22⋊C4—21no—
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—111no—
1617C22⋊C4—111no—
1618C22⋊C4—111no—
1619C22⋊C4—111no—
1620C22⋊C4—111no—
1621C22⋊C4—111no—
1622C22⋊C4—221no—
1623C22⋊C4—221no—
1624C22⋊C4—221no—
1625C22⋊C4—221no—
1626C22⋊C4—221no—
1627C22⋊C4—221no—
1628C22⋊C4—221no—
1629C22⋊C4—221no—
1630C22⋊C4—221no—
1631C22⋊C4—221no—
1632C22⋊C4—221no—
1633C22⋊C4—221no—
1634C22⋊C4—221no—
1635C22⋊C4—221no—
1636C22⋊C4—221no—
1637C22⋊C4—221no—
1638C22⋊C4—221no—
1639C22⋊C4—221no—
1640C22⋊C4—221no—
1641C22⋊C4D4×D1111yescharacteristic
1642C22⋊C4D4×D1111yescharacteristic
1643C42—21no—
1644C42—21no—
1645C42—111no—
1646C42—111no—
1647C42—111no—
1648C42—221no—
1649C42—221no—
1650C42—221no—
1651C42—221no—
1652C42—221no—
1653C42—221no—
1654C42—221no—
1655C42—221no—
1656C42—221no—
1657C42—221no—
1658C42—221no—
1659C42C23×D1111yescharacteristic
1660C11#6120611yescharacteristic, complemented, Sylow
1661C23—21no—
1662C23—21no—
1663C23—21no—
1664C23—42no—
1665C23—42no—
1666C23—81no—
1667C23—81no—
1668C23—81no—
1669C23—81no—
1670C23—111no—
1671C23—111no—
1672C23—111no—
1673C23—221no—
1674C23—221no—
1675C23—442no—
1676C23—442no—
1677C23—442no—
1678C23—442no—
1679C23—881no—
1680C23—881no—
1681C23—881no—
1682C23—881no—
1683C23—881no—
1684C23—881no—
1685C23—881no—
1686C23—881no—
1687C23C2×D4×D1111yescharacteristic
1688C23C2×D4×D1111yescharacteristic
1689Q8—21no—
1690Q8—21no—
1691Q8—112no—
1692Q8—222no—
1693Q8—222no—
1694Q8—221no—
1695Q8—221no—
1696Q8—221no—
1697Q8—442no—
1698Q8—442no—
1699Q8—881no—
1700D4—21no—
1701D4—21no—
1702D4—21no—
1703D4—21no—
1704D4—21no—
1705D4—41no—
1706D4—42no—
1707D4—42no—
1708D4—42no—
1709D4—81no—
1710D4—81no—
1711D4—81no—
1712D4—222no—
1713D4—222no—
1714D4—222no—
1715D4—222no—
1716D4—222no—
1717D4—222no—
1718D4—222no—
1719D4—222no—
1720D4—224no—
1721D4—221no—
1722D4—221no—
1723D4—221no—
1724D4—221no—
1725D4—441no—
1726D4—442no—
1727D4—442no—
1728D4—442no—
1729D4—442no—
1730D4—442no—
1731D4—442no—
1732D4—442no—
1733D4—442no—
1734D4—442no—
1735D4—442no—
1736D4—442no—
1737D4—881no—
1738D4—881no—
1739D4—881no—
1740D4—881no—
1741D4—881no—
1742D4—881no—
1743D4—881no—
1744D4—881no—
1745D4—881no—
1746D4#41×D1112yes—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—21no—
1751C2×C4—21no—
1752C2×C4—21no—
1753C2×C4—21no—
1754C2×C4—21no—
1755C2×C4—21no—
1756C2×C4—42no—
1757C2×C4—81no—
1758C2×C4—111no—
1759C2×C4—111no—
1760C2×C4—112no—
1761C2×C4—112no—
1762C2×C4—111no—
1763C2×C4—111no—
1764C2×C4—111no—
1765C2×C4—222no—
1766C2×C4—224no—
1767C2×C4—221no—
1768C2×C4—221no—
1769C2×C4—221no—
1770C2×C4—221no—
1771C2×C4—221no—
1772C2×C4—221no—
1773C2×C4—221no—
1774C2×C4—221no—
1775C2×C4—221no—
1776C2×C4—221no—
1777C2×C4—441no—
1778C2×C4—442no—
1779C2×C4—442no—
1780C2×C4—442no—
1781C2×C4—442no—
1782C2×C4—442no—
1783C2×C4—442no—
1784C2×C4—881no—
1785C2×C4—881no—
1786C2×C4—881no—
1787C2×C4—881no—
1788C2×C4C2×D4×D1111yescharacteristic
1789C2×C4C2×D4×D1111yescharacteristic
1790C2×C4C2×D4×D1111yescharacteristic
1791C2×C4C2×D4×D1111yescharacteristic
1792C2×C4C24×D1111yescharacteristic
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—221no—
1798C8—221no—
1799C8—221no—
1800C8—221no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—22no—
1806C22—21no—
1807C22—21no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—41no—
1813C22—41no—
1814C22—41no—
1815C22—41no—
1816C22—112no—
1817C22—162no—
1818C22—162no—
1819C22—221no—
1820C22—221no—
1821C22—221no—
1822C22—221no—
1823C22—221no—
1824C22—221no—
1825C22—221no—
1826C22—221no—
1827C22—441no—
1828C22—441no—
1829C22—441no—
1830C22—441no—
1831C22—441no—
1832C22—441no—
1833C22—1762no—
1834C22—1762no—
1835C22—1762no—
1836C22—1762no—
1837C22C22×D4×D1111yescharacteristic
1838C4—21no—
1839C4—21no—
1840C4—21no—
1841C4—21no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—41no—
1847C4—112no—
1848C4—112no—
1849C4—221no—
1850C4—221no—
1851C4—221no—
1852C4—222no—
1853C4—441no—
1854C4—441no—
1855C4—441no—
1856C4—441no—
1857C4—441no—
1858C4C2×#41×D1111yescharacteristic
1859C4D11×H(5,𝔽2)11yescharacteristic
1860C2—41no—
1861C2—41no—
1862C2—42no—
1863C2—81no—
1864C2—81no—
1865C2—222no—
1866C2—441no—
1867C2—441no—
1868C2—881no—
1869C2—881no—
1870C2D11×#54611yescharacteristic
1871C2D11×#57711yescharacteristic
1872C2#1308339211yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3310C2
socleC22×C11C23×D4
prime radical#13082388C2
hypercenter#3310D11
hypocenterC11#61206
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3310

Complements

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

NH ≅ G/Ntype
1. #13082475C2semidirect
3. #13080952C2semidirect
4. #13080949C2semidirect
5. #13080843C2semidirect
6. #13080840C2semidirect
7. #13080749C2semidirect
8. #13080744C2semidirect
9. #13080741C2semidirect
10. #13080736C2semidirect
11. #13080642C2semidirect
12. #13080637C2semidirect
13. #13080634C2semidirect
14. #13080553C2semidirect
15. #13080550C2semidirect
16. #13080436C2semidirect
17. #13080433C2semidirect
18. #13078989C2semidirect
19. #13078569C2semidirect
20. #13078567C2semidirect
21. #13078401C2semidirect
22. #13078253C2semidirect
23. #13078250C2semidirect
24. D11×#460C2semidirect
25. #13077888C2semidirect
26. #13077888C2semidirect
27. #13077438C2semidirect
28. #13077357C2semidirect
29. #13077141C2semidirect
30. #13077137C2semidirect
31. C11×#3310C2semidirect
34. C11×#552C22semidirect
41. C2×SD16×D11C22semidirect
42. C2×SD16×D11C22semidirect
43. C2×#66960C22semidirect
44. C2×#66954C22semidirect
49. #10623225C22semidirect
51. #10623219C22semidirect
55. #10623172C22semidirect
56. #10623166C22semidirect
57. #10623159C22semidirect
58. #10623159C22semidirect
69. #10623112C22semidirect
70. C4×Q8×D11C22semidirect
74. #10623072C22semidirect
77. #10623064C22semidirect
79. #10623054C22semidirect
80. #10623042C22semidirect
81. #10623035C22semidirect
82. C11×#490C22semidirect
83. C11×#482C22semidirect
84. C11×#480C22semidirect
85. C11×#478C22semidirect
86. C11×#468C22semidirect
87. C11×#465C22semidirect
88. C11×#460C22semidirect
89. C11×#450C22semidirect
90. C11×#450C22semidirect
91. C11×#440C22semidirect
92. C11×#435C22semidirect
93. C11×#418C22semidirect
94. C2×C11×#102C22semidirect
95. #10622831C22semidirect
96. #10622831C22semidirect
97. #10622828C22semidirect
98. C2×#66896C22semidirect
99. #10622787C22semidirect
100. #10622786C22semidirect
101. #10622786C22semidirect
102. #10622784C22semidirect
103. #10622782C22semidirect
104. #10622782C22semidirect
105. #10622776C22semidirect
106. #10622776C22semidirect
107. SD16×Dic11C22semidirect
108. #10622747C22semidirect
109. #10622746C22semidirect
110. #10622741C22semidirect
111. #10622727C22semidirect
112. #10622726C22semidirect
113. C8×C22⋊D11C22semidirect
114. #10622688C22semidirect
115. #10622684C22semidirect
116. #10622680C22semidirect
117. #10622676C22semidirect
118. #10622662C22semidirect
119. #10622661C22semidirect
120. #10622660C22semidirect
121. #10622660C22semidirect
122. #10622655C22semidirect
123. #10622654C22semidirect
124. #10622648C22semidirect
125. #10622646C22semidirect
126. #10622643C22semidirect
127. #10622640C22semidirect
128. #10622631C22semidirect
129. #10622624C22semidirect
130. #10622622C22semidirect
131. #10622616C22semidirect
132. #10622615C22semidirect
133. #10622581C22semidirect
134. #10622579C22semidirect
135. #10622499C22semidirect
136. #10622498C22semidirect
137. #10622495C22semidirect
138. #10622495C22semidirect
139. #10622494C22semidirect
140. #10622493C22semidirect
141. #10622488C22semidirect
142. #10622486C22semidirect
143. #10622479C22semidirect
144. #10622477C22semidirect
145. #10622473C22semidirect
146. #10622467C22semidirect
147. #10622461C22semidirect
148. #10622449C22semidirect
149. D11×C4⋊C8C22semidirect
150. #10622442C22semidirect
151. #10622425C22semidirect
152. #10622420C22semidirect
153. #10622415C22semidirect
154. #10622403C22semidirect
155. #10622397C22semidirect
156. #10622396C22semidirect
157. #10622396C22semidirect
158. #10622393C22semidirect
159. #10622392C22semidirect
160. #10622391C22semidirect
161. #10622390C22semidirect
162. #10622390C22semidirect
163. #10622389C22semidirect
164. #10622389C22semidirect
167. #10622385C22semidirect
168. #10622385C22semidirect
170. #10622384C22semidirect
171. #10622384C22semidirect
172. #10622383C22semidirect
173. #10622383C22semidirect
174. #10622383C22semidirect
175. #10622383C22semidirect
176. #10622383C22semidirect
177. #10622383C22semidirect
178. D11×#102C22semidirect
179. D11×#102C22semidirect
180. D11×#102C22semidirect
181. D11×#102C22semidirect
182. #10622375C22semidirect
183. #10622375C22semidirect
184. #10622374C22semidirect
185. #10622373C22semidirect
186. #10622373C22semidirect
187. #10622373C22semidirect
188. #10622373C22semidirect
189. #10622372C22semidirect
190. #10622371C22semidirect
191. #10622350C22semidirect
192. #10622348C22semidirect
193. #10622346C22semidirect
194. #10622346C22semidirect
195. #10622342C22semidirect
196. #10622340C22semidirect
197. #10622340C22semidirect
198. (C22⋊D11)⋊C8C22semidirect
199. #10622329C22semidirect
200. #10622326C22semidirect
201. #10622320C22semidirect
202. #10622319C22semidirect
738. #3310D11semidirect
914. #552C2×D11semidirect
949. #490C2×D11semidirect
961. #482C2×D11semidirect
969. #480C2×D11semidirect
973. #478C2×D11semidirect
985. #468C2×D11semidirect
993. #465C2×D11semidirect
1001. #460C2×D11semidirect
1016. #450C2×D11semidirect
1017. #450C2×D11semidirect
1021. #440C2×D11semidirect
1031. #435C2×D11semidirect
1046. #418C2×D11semidirect
1063. C2×#102C2×D11semidirect
1660. C11#61206semidirect

Maximal subgroups

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

subgroupindex
#130824752
#130823882
#130809522
#130809492
#130808432
#130808402
#130807492
#130807442
#130807412
#130807362
#130806422
#130806372
#130806342
#130805532
#130805502
#130804362
#130804332
#130789892
#130785692
#130785672
#130784012
#130782532
#130782502
D11×#4602
#130778882
#130774382
#130773572
#130771412
#130771372
C11×#33102
#6120611