Finite Group Databasebeta

← #15647308

Subgroups — #15647308

Order 2816.

1902 conjugacy classes of subgroups.

The subgroup lattice has 1806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083185C211yesmaximal, characteristic, complemented
2#13082647C211yesmaximal, characteristic, complemented
3#13081632C211yesmaximal, characteristic, complemented
4#13081445C211yesmaximal, characteristic, complemented
5#13081437C211yesmaximal, characteristic, complemented
6#13080809C211yesmaximal, characteristic, complemented
7#13080807C211yesmaximal, characteristic, complemented
8#13080794C211yesmaximal, characteristic, complemented
9#13080792C211yesmaximal, characteristic, complemented
10#13080473C211yesmaximal, characteristic, complemented
11#13080471C211yesmaximal, characteristic, complemented
12#13080311C211yesmaximal, characteristic, complemented
13#13080307C211yesmaximal, characteristic, complemented
14#13080110C211yesmaximal, characteristic, complemented
15#13080106C211yesmaximal, characteristic, complemented
16#13080095C211yesmaximal, characteristic, complemented
17#13080091C211yesmaximal, characteristic, complemented
18#13080025C211yesmaximal, characteristic, complemented
19#13080023C211yesmaximal, characteristic, complemented
20#13079930C211yesmaximal, characteristic, complemented
21#13079672C211yesmaximal, characteristic, complemented
22#13079670C211yesmaximal, characteristic, complemented
23#13079598C211yesmaximal, characteristic, complemented
24#13078804C211yesmaximal, characteristic, complemented
25#13078796C211yesmaximal, characteristic, complemented
26#13078713C211yesmaximal, characteristic, complemented
27#13078126C211yesmaximal, characteristic, complemented
28#13078123C211yesmaximal, characteristic, complemented
29D11×#463C211yesmaximal, characteristic, complemented
30#13077754C211yesmaximal, characteristic, complemented
31C11×#3397C211yesmaximal, characteristic, complemented
32C11×#556C2211yescharacteristic, complemented
33C11×#550C2211yescharacteristic, complemented
34#10623360—21no—
35#10623359—21no—
36C2×#66967C2211yescharacteristic
37C2×SD16×D11C2211yescharacteristic
38C2×SD16×D11C2211yescharacteristic, complemented
39C2×SD16×D11C2211yescharacteristic, complemented
40C2×#66964C2211yescharacteristic
41C2×D8×D11C2211yescharacteristic
42#10623258C2211yescharacteristic, complemented
43#10623255C2211yescharacteristic, complemented
44#10623250C2211yescharacteristic, complemented
45#10623250C2211yescharacteristic, complemented
46#10623248C2211yescharacteristic
47#10623248C2211yescharacteristic
48#10623248C2211yescharacteristic, complemented
49#10623247C2211yescharacteristic
50#10623243—21no—
51#10623241—21no—
52#10623236—21no—
53#10623235—21no—
54#10623208C2211yescharacteristic, complemented
55#10623207C2211yescharacteristic, complemented
56#10623206C2211yescharacteristic, complemented
57D11×#124C2211yescharacteristic, complemented
58#10623178—21no—
59#10623165—21no—
60#10623145—21no—
61#10623144—21no—
62#10623144—21no—
63#10623141—21no—
64#10623141—21no—
65D11×#121—21no—
66#10623115C2211yescharacteristic, complemented
67#10623113C2211yescharacteristic, complemented
68#10623111C2211yescharacteristic
69#10623110C2211yescharacteristic, complemented
70#10623109C2211yescharacteristic, complemented
71#10623107C2211yescharacteristic, complemented
72Q8×D44C2211yescharacteristic, complemented
73#10623094C2211yescharacteristic, complemented
74#10623092C2211yescharacteristic, complemented
75#10623089C2211yescharacteristic
76#10623089C2211yescharacteristic
77#10623085C2211yescharacteristic, complemented
78#10623076C2211yescharacteristic, complemented
79#10623076C2211yescharacteristic, complemented
80C4×D4×D11C2211yescharacteristic
81#10623065—21no—
82#10623058—21no—
83C11×#496C2211yescharacteristic, complemented
84C11×#496C2211yescharacteristic, complemented
85C11×#492C2211yescharacteristic, complemented
86C11×#463C2211yescharacteristic, complemented
87C11×#463C2211yescharacteristic, complemented
88C11×#461C2211yescharacteristic, complemented
89C11×#460C2211yescharacteristic, complemented
90C11×#460C2211yescharacteristic, complemented
91C11×#459C2211yescharacteristic, complemented
92C11×#446C2211yescharacteristic, complemented
93C11×#440C2211yescharacteristic, complemented
94C11×#440C2211yescharacteristic, complemented
95C4×C11×D8C2211yescharacteristic, complemented
96#10622787C2211yescharacteristic, complemented
97#10622785C2211yescharacteristic, complemented
98#10622785C2211yescharacteristic, complemented
99#10622784C2211yescharacteristic, complemented
100#10622784C2211yescharacteristic, complemented
101#10622784C2211yescharacteristic, complemented
102#10622783C2211yescharacteristic, complemented
103#10622783C2211yescharacteristic, complemented
104#10622783C2211yescharacteristic, complemented
105#10622783C2211yescharacteristic, complemented
106#10622783C2211yescharacteristic, complemented
107#10622783C2211yescharacteristic, complemented
108#10622782C2211yescharacteristic
109#10622782C2211yescharacteristic, complemented
110#10622778C2211yescharacteristic, complemented
111#10622778C2211yescharacteristic, complemented
112#10622778C2211yescharacteristic, complemented
113#10622775C2211yescharacteristic, complemented
114#10622775C2211yescharacteristic, complemented
115#10622775C2211yescharacteristic, complemented
116#10622772C2211yescharacteristic, complemented
117#10622771C2211yescharacteristic, complemented
118#10622771C2211yescharacteristic, complemented
119#10622770C2211yescharacteristic, complemented
120#10622769C2211yescharacteristic
121#10622769C2211yescharacteristic, complemented
122#10622769C2211yescharacteristic, complemented
123#10622766C2211yescharacteristic, complemented
124#10622766C2211yescharacteristic, complemented
125#10622766C2211yescharacteristic, complemented
126#10622696C2211yescharacteristic, complemented
127#10622695C2211yescharacteristic, complemented
128#10622689C2211yescharacteristic, complemented
129#10622688C2211yescharacteristic, complemented
130#10622688C2211yescharacteristic, complemented
131#10622687C2211yescharacteristic, complemented
132#10622687C2211yescharacteristic, complemented
133#10622685C2211yescharacteristic, complemented
134#10622670C2211yescharacteristic
135#10622670C2211yescharacteristic
136#10622669C2211yescharacteristic, complemented
137#10622668C2211yescharacteristic, complemented
138#10622639C2211yescharacteristic, complemented
139C4×#4325C2211yescharacteristic, complemented
140#10622637C2211yescharacteristic, complemented
141#10622635C2211yescharacteristic, complemented
142#10622633C2211yescharacteristic, complemented
143#10622632C2211yescharacteristic, complemented
144#10622631C2211yescharacteristic, complemented
145#10622631C2211yescharacteristic, complemented
146#10622629C2211yescharacteristic, complemented
147#10622629C2211yescharacteristic, complemented
148#10622627C2211yescharacteristic
149C4×#4323C2211yescharacteristic, complemented
150#10622622C2211yescharacteristic, complemented
151#10622503C2211yescharacteristic, complemented
152#10622501C2211yescharacteristic, complemented
153#10622498C2211yescharacteristic, complemented
154#10622497C2211yescharacteristic, complemented
155#10622464C2211yescharacteristic, complemented
156#10622460C2211yescharacteristic, complemented
157#10622457C2211yescharacteristic
158#10622457C2211yescharacteristic
159#10622454C2211yescharacteristic, complemented
160#10622452C2211yescharacteristic, complemented
161#10622452C2211yescharacteristic, complemented
162#10622449C2211yescharacteristic, complemented
163#10622449C2211yescharacteristic, complemented
164#10622447C2211yescharacteristic, complemented
165D11×C4⋊C8C2211yescharacteristic, complemented
166#10622442C2211yescharacteristic, complemented
167#10622432C2211yescharacteristic
168#10622431C2211yescharacteristic, complemented
169#10622428C2211yescharacteristic, complemented
170#10622422C2211yescharacteristic, complemented
171#10622417C2211yescharacteristic, complemented
172#10622415C2211yescharacteristic, complemented
173#10622415C2211yescharacteristic, complemented
174D11×#103C2211yescharacteristic, complemented
175#10622400C2211yescharacteristic
176#10622395C2211yescharacteristic, complemented
177#10622393C2211yescharacteristic, complemented
178#10622392C2211yescharacteristic, complemented
179#10622391C2211yescharacteristic, complemented
180#10622391C2211yescharacteristic, complemented
181#10622391C2211yescharacteristic, complemented
182#10622389C2211yescharacteristic
183#10622389C2211yescharacteristic, complemented
184#10622388C2211yescharacteristic, complemented
185#10622386C2211yescharacteristic
186#10622385C2211yescharacteristic, complemented
187D11×#102C2211yescharacteristic, complemented
188#10622374C2211yescharacteristic, complemented
189#10622374C2211yescharacteristic, complemented
190#10622372C2211yescharacteristic, complemented
191#10622327C2211yescharacteristic, complemented
192#10622324C2211yescharacteristic
193#10622323C2211yescharacteristic, complemented
194#10622322C2211yescharacteristic, complemented
195#10622319C2211yescharacteristic, complemented
196#10622319C2211yescharacteristic, complemented
197#10622318C2211yescharacteristic, complemented
198#10622316C2211yescharacteristic, complemented
199#10622310C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic, complemented
202C8×D44C2211yescharacteristic, complemented
203C2×C11×#41—21no—
204C2×#4343C2311yescharacteristic
205C2×Q8×D11C2311yescharacteristic
206C2×Q8×D11C2311yescharacteristic
207C2×Q8×D11C2311yescharacteristic
208C2×#4341—21no—
209C2×#4341C2311yescharacteristic
210C2×D4×D11—21no—
211C2×D4×D11—21no—
212C2×D4×D11—21no—
213C2×D4×D11C2311yescharacteristic
214C2×D4×D11C2311yescharacteristic
215C2×D4×D11C2311yescharacteristic
216C2×D4×D11C2311yescharacteristic
217C22×C4×D11—21no—
218C2×C11×SD16C2311yescharacteristic
219C2×C11×SD16C2311yescharacteristic
220C2×C11×SD16C2311yescharacteristic
221C2×C11×SD16C2311yescharacteristic
222C2×C11×SD16C2311yescharacteristic
223C2×C11×SD16C2311yescharacteristic
224C2×C11×D8C2311yescharacteristic
225C2×C11×D8C2311yescharacteristic
226C2×C11×D8C2311yescharacteristic
227C11×C4⋊Q8C2311yescharacteristic
228C11×#127C2311yescharacteristic
229C11×#127C2311yescharacteristic
230C11×#127C2311yescharacteristic
231C11×#126—21no—
232C11×#126—21no—
233C11×#124C2311yescharacteristic
234C11×#124C2311yescharacteristic
235C11×C22⋊Q8—21no—
236C11×#121—21no—
237C11×#121—21no—
238C11×#121—21no—
239C4×Q8×C11C2311yescharacteristic
240C4×Q8×C11C2311yescharacteristic
241C4×Q8×C11C2311yescharacteristic
242C4×D4×C11C2311yescharacteristic
243C4×D4×C11C2311yescharacteristic
244C4×D4×C11C2311yescharacteristic
245C4×D4×C11C2311yescharacteristic
246C11×#117—21no—
247#67000D411yescharacteristic
248#67000C2311yescharacteristic
249#66999—21no—
250#66999—21no—
251#66999D411yescharacteristic
252#66999C2311yescharacteristic
253#66999C2311yescharacteristic
254#66997C2311yescharacteristic
255C2×#4325C2311yescharacteristic
256C2×#4325C2311yescharacteristic
257#66992—21no—
258#66992—21no—
259#66992—21no—
260#66992—21no—
261#66991—21no—
262#66991—21no—
263#66991—21no—
264#66991—21no—
265#66991C2311yescharacteristic
266#66991C2311yescharacteristic
267#66991C2311yescharacteristic
268#66991C2311yescharacteristic
269#66991C2311yescharacteristic
270#66991C2311yescharacteristic
271#66991C2311yescharacteristic
272#66990—21no—
273#66990—21no—
274#66990—21no—
275#66990—21no—
276#66990—21no—
277#66990—21no—
278#66989—21no—
279#66989C2311yescharacteristic
280#66988—21no—
281#66988—21no—
282#66988—21no—
283#66988—21no—
284D4×Dic11—21no—
285D4×Dic11C2311yescharacteristic
286D4×Dic11C2311yescharacteristic
287D4×Dic11C2311yescharacteristic
288C2×#4324C2311yescharacteristic
289C2×#4324C2311yescharacteristic
290C2×#4324C2311yescharacteristic
291C2×#4324C2311yescharacteristic
292C2×#4324C2311yescharacteristic
293C2×#4324C2311yescharacteristic
294C2×#4323C2311yescharacteristic
295C2×#4323C2311yescharacteristic
296C2×#4323C2311yescharacteristic
297C2×#4323C2311yescharacteristic
298#66983—21no—
299#66983—21no—
300#66982—21no—
301#66982—21no—
302#66982—21no—
303C4×C22⋊D11—21no—
304C4×C22⋊D11—21no—
305C4×C22⋊D11—21no—
306C4×C22⋊D11—21no—
307C4×C22⋊D11—21no—
308C2×(C2×D11)⋊C4—21no—
309C2×(C2×D11)⋊C4—21no—
310C2×(C2×D11)⋊C4—21no—
311#66979—21no—
312#66977—21no—
313#66967—42no—
314SD16×D11—42no—
315SD16×D11—42no—
316SD16×D11—42no—
317#66964—42no—
318D8×D11—42no—
319C2×D88C2311yescharacteristic
320C2×#4314C2311yescharacteristic
321C2×#4314C2311yescharacteristic
322C2×#4313C2311yescharacteristic
323C2×#4313C2311yescharacteristic
324C2×C8×D11C2311yescharacteristic
325C2×C8×D11C2311yescharacteristic
326C2×C8×D11C2311yescharacteristic
327C2×C8×D11C2311yescharacteristic
328#66951—21no—
329#66951—21no—
330#66951D411yescharacteristic
331#66951D411yescharacteristic
332#66950—21no—
333#66950—21no—
334#66950—21no—
335#66950C2311yescharacteristic
336#66950C2311yescharacteristic
337#66949—21no—
338#66949—21no—
339#66949—21no—
340#66949—21no—
341#66949—21no—
342#66949—21no—
343#66949—21no—
344#66949—21no—
345#66948—21no—
346#66948D411yescharacteristic
347#66948C2311yescharacteristic
348#66947—21no—
349#66947—21no—
350#66947—21no—
351#66947D411yescharacteristic
352#66947D411yescharacteristic
353#66946—21no—
354#66946C2311yescharacteristic
355#66945—21no—
356#66945C2311yescharacteristic
357#66945C2311yescharacteristic
358C4⋊C4×D11—21no—
359C4⋊C4×D11C2311yescharacteristic
360#66943D411yescharacteristic
361#66942—21no—
362#66941—21no—
363#66941C2311yescharacteristic
364#66939—21no—
365#66938—21no—
366#66938—21no—
367#66938—21no—
368#66938—21no—
369#66938—21no—
370#66938—21no—
371#66937—21no—
372#66937—21no—
373#66937—21no—
374#66937—21no—
375#66936—21no—
376#66936—21no—
377#66936—21no—
378#66935—21no—
379#66935—21no—
380(C22⋊D11)⋊C4—21no—
381(C22⋊D11)⋊C4—21no—
382(C22⋊D11)⋊C4—21no—
383(C22⋊D11)⋊C4—21no—
384C22⋊C4×D11—21no—
385C22⋊C4×D11—21no—
386C22⋊C4×D11—21no—
387C22⋊C4×D11—21no—
388C22⋊C4×D11—21no—
389C22⋊C4×D11—21no—
390#66932—21no—
391#66932—21no—
392#66932—21no—
393#66931—21no—
394#66931—21no—
395#66931—21no—
396#66929—21no—
397#66928—21no—
398#66928—21no—
399#66928C2311yescharacteristic
400#66928C2311yescharacteristic
401C4×D44—21no—
402C4×D44—21no—
403C4×D44C2311yescharacteristic
404C4×D44C2311yescharacteristic
405C4×D44C2311yescharacteristic
406C4×D44C2311yescharacteristic
407C4×D44C2311yescharacteristic
408C4×D44C2311yescharacteristic
409C4×D44C2311yescharacteristic
410#66925—21no—
411#66925C2311yescharacteristic
412#66925C2311yescharacteristic
413C42×D11C2311yescharacteristic
414#66923C2311yescharacteristic
415#66923C2311yescharacteristic
416#66922—21no—
417#66922C2311yescharacteristic
418#66922C2311yescharacteristic
419C4×Dic22—21no—
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×#107C2311yescharacteristic
423C11×C4⋊C8C2311yescharacteristic
424C11×C4⋊C8C2311yescharacteristic
425C11×C4⋊C8C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#103C2311yescharacteristic
428C11×#102C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#97C2311yescharacteristic
433C11×#97C2311yescharacteristic
434C4×C8×C11C2311yescharacteristic
435#66899C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66899C2311yescharacteristic
439#66899C2311yescharacteristic
440#66899C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446#66896C2311yescharacteristic
447#66885C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451(C2×D11)⋊C8C2311yescharacteristic
452(C2×D11)⋊C8C2311yescharacteristic
453(C2×D11)⋊C8C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456(C2×D11)⋊C8C2311yescharacteristic
457#66882C2311yescharacteristic
458#66881C2311yescharacteristic
459#66881C2311yescharacteristic
460#66880C2311yescharacteristic
461#66880C2311yescharacteristic
462#66880C2311yescharacteristic
463#66880C2311yescharacteristic
464#66880C2311yescharacteristic
465#66880C2311yescharacteristic
466Dic11⋊C8C2311yescharacteristic
467Dic11⋊C8C2311yescharacteristic
468Dic11⋊C8C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470#66874C2311yescharacteristic
471#66874C2311yescharacteristic
472#66873C2311yescharacteristic
473#66873C2311yescharacteristic
474#66872C2311yescharacteristic
475#66872C2311yescharacteristic
476#66871C2311yescharacteristic
477#66871C2311yescharacteristic
478C4⋊(C11⋊C8)C2311yescharacteristic
479C4⋊(C11⋊C8)C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481#66867C2311yescharacteristic
482#66867C2311yescharacteristic
483C4×C11⋊C8C2311yescharacteristic
484#62016—111nomaximal, Sylow
485C23×D11—21no—
486C23×D11—21no—
487C23×D11—21no—
488C23×D11—21no—
489C11×#41—82no—
490C2×Q8×C11C2×D411yescharacteristic
491C2×Q8×C11C2411yescharacteristic
492C2×Q8×C11C2411yescharacteristic
493C2×D4×C11—21no—
494C2×D4×C11—21no—
495C2×D4×C11—21no—
496C2×D4×C11—21no—
497C2×D4×C11—21no—
498C2×D4×C11—21no—
499C2×D4×C11C2411yescharacteristic
500C2×D4×C11C2411yescharacteristic
501C2×D4×C11C2411yescharacteristic
502C2×D4×C11C2411yescharacteristic
503C22×C4×C11—21no—
504C22×C4×C11—21no—
505C22×C4×C11—21no—
506C22×C4×C11—21no—
507C2×C22⋊D11—21no—
508C2×C22⋊D11—21no—
509C2×C22⋊D11—21no—
510C2×C22⋊D11—21no—
511C2×C22⋊D11—21no—
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C22×Dic11—21no—
520C22×Dic11—21no—
521C22×Dic11—21no—
522C22×Dic11—21no—
523#4343—41no—
524#4343—41no—
525Q8×D11—41no—
526Q8×D11—41no—
527Q8×D11—41no—
528Q8×D11—41no—
529Q8×D11—41no—
530Q8×D11—41no—
531#4341—41no—
532#4341—41no—
533#4341—82no—
534D4×D11—22no—
535D4×D11—22no—
536D4×D11—22no—
537D4×D11—41no—
538D4×D11—41no—
539D4×D11—41no—
540D4×D11—41no—
541D4×D11—41no—
542D4×D11—82no—
543D4×D11—82no—
544D4×D11—82no—
545C2×D44—21no—
546C2×D44—21no—
547C2×D44C2×D411yescharacteristic
548C2×D44C2×D411yescharacteristic
549C2×D44C2×D411yescharacteristic
550C2×D44C2411yescharacteristic
551C2×D44C2411yescharacteristic
552C2×C4×D11—21no—
553C2×C4×D11—21no—
554C2×C4×D11—21no—
555C2×C4×D11—21no—
556C2×C4×D11—21no—
557C2×C4×D11—21no—
558C2×C4×D11—21no—
559C2×C4×D11—21no—
560C2×C4×D11—21no—
561C2×C4×D11—21no—
562C2×C4×D11—82no—
563C2×C4×D11C2×D411yescharacteristic
564C2×C4×D11C2×D411yescharacteristic
565C2×C4×D11C2411yescharacteristic
566C2×C4×D11C2411yescharacteristic
567C2×C4×D11C2411yescharacteristic
568C2×Dic22—21no—
569C2×Dic22—21no—
570C2×Dic22—21no—
571C2×Dic22—21no—
572C2×Dic22—21no—
573C2×Dic22C2411yescharacteristic
574C2×Dic22C2411yescharacteristic
575C11×SD16—41no—
576C11×SD16—41no—
577C11×SD16—41no—
578C11×SD16—41no—
579C11×SD16—41no—
580C11×SD16—41no—
581C11×D8—41no—
582C11×D8—41no—
583C11×D8—41no—
584C2×C8×C11C2411yescharacteristic
585C2×C8×C11C2411yescharacteristic
586C2×C8×C11C2411yescharacteristic
587C2×C8×C11C2411yescharacteristic
588C11×C4⋊C4—21no—
589C11×C4⋊C4—21no—
590C11×C4⋊C4—21no—
591C11×C4⋊C4—21no—
592C11×C4⋊C4C2×D411yescharacteristic
593C11×C4⋊C4C2×D411yescharacteristic
594C11×C4⋊C4C2×D411yescharacteristic
595C11×C4⋊C4C2411yescharacteristic
596C11×C4⋊C4C2411yescharacteristic
597C11×C22⋊C4—21no—
598C11×C22⋊C4—21no—
599C11×C22⋊C4—21no—
600C11×C22⋊C4—21no—
601C11×C22⋊C4—21no—
602C11×C22⋊C4—21no—
603C11×C22⋊C4—21no—
604C11×C22⋊C4—21no—
605C42×C11—21no—
606C42×C11—21no—
607C42×C11C2411yescharacteristic
608C42×C11C2411yescharacteristic
609C42×C11C2411yescharacteristic
610C22⋊Dic11—21no—
611C22⋊Dic11—21no—
612C22⋊Dic11—21no—
613C22⋊Dic11—21no—
614C22⋊Dic11—21no—
615C22⋊Dic11—21no—
616C22⋊Dic11—21no—
617C22⋊Dic11—21no—
618C22⋊Dic11—21no—
619C22⋊Dic11—21no—
620C22⋊Dic11—21no—
621C22⋊Dic11—21no—
622#4325—22no—
623#4325—22no—
624#4324—41no—
625#4324—41no—
626#4324—41no—
627#4324—41no—
628#4324—41no—
629#4324—41no—
630#4323—22no—
631#4323—41no—
632#4323—41no—
633#4323—41no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4—21no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4—21no—
638(C2×D11)⋊C4—21no—
639(C2×D11)⋊C4—21no—
640(C2×D11)⋊C4—21no—
641(C2×D11)⋊C4—21no—
642(C2×D11)⋊C4—21no—
643(C2×D11)⋊C4—21no—
644(C2×D11)⋊C4—21no—
645(C2×D11)⋊C4—21no—
646(C2×D11)⋊C4—21no—
647(C2×D11)⋊C4—21no—
648(C2×D11)⋊C4—21no—
649(C2×D11)⋊C4—21no—
650(C2×D11)⋊C4—21no—
651(C2×D11)⋊C4—21no—
652(C2×D11)⋊C4C2×D411yescharacteristic
653(C2×D11)⋊C4C2×D411yescharacteristic
654(C2×D11)⋊C4C2×D411yescharacteristic
655(C2×D11)⋊C4C2×D411yescharacteristic
656(C2×D11)⋊C4C2×D411yescharacteristic
657(C2×D11)⋊C4C2×D411yescharacteristic
658(C2×D11)⋊C4C2×D411yescharacteristic
659(C2×D11)⋊C4C2×D411yescharacteristic
660(C2×D11)⋊C4C2×D411yescharacteristic
661(C2×D11)⋊C4C2×D411yescharacteristic
662C4⋊Dic11—21no—
663C4⋊Dic11—21no—
664C4⋊Dic11—21no—
665C4⋊Dic11—21no—
666C4⋊Dic11—21no—
667C4⋊Dic11C2×D411yescharacteristic
668C4⋊Dic11C2×D411yescharacteristic
669C4⋊Dic11C2×D411yescharacteristic
670C4⋊Dic11C2411yescharacteristic
671C4⋊Dic11C2411yescharacteristic
672C4⋊Dic11C2411yescharacteristic
673C4⋊Dic11C2411yescharacteristic
674Dic11⋊C4—21no—
675Dic11⋊C4—21no—
676Dic11⋊C4—21no—
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⋊C4C2×D411yescharacteristic
687Dic11⋊C4C2×D411yescharacteristic
688Dic11⋊C4C2×D411yescharacteristic
689Dic11⋊C4C2×D411yescharacteristic
690C4×Dic11—21no—
691C4×Dic11—21no—
692C4×Dic11—21no—
693C4×Dic11—21no—
694C4×Dic11C2×D411yescharacteristic
695C4×Dic11C2×D411yescharacteristic
696C4×Dic11C2411yescharacteristic
697C2×C11⋊C8C2411yescharacteristic
698C2×C11⋊C8C2411yescharacteristic
699C2×C11⋊C8C2411yescharacteristic
700C2×C11⋊C8C2411yescharacteristic
701D88—22no—
702#4314—22no—
703#4314—22no—
704#4313—41no—
705#4313—41no—
706C8×D11—41no—
707C8×D11—41no—
708C8×D11—41no—
709C8×D11—41no—
710#3561—111no—
711#3519—111no—
712#3397—111no—
713#3397D1111yescharacteristic, complemented
714#3376—111no—
715#3376—111no—
716#3321—111no—
717#3321—111no—
718#3320—111no—
719#3320—111no—
720#3297—111no—
721#3297—111no—
722D4×SD16—111no—
723D4×SD16—111no—
724#3265—111no—
725#3265—111no—
726#3264—111no—
727#3264—111no—
728#3257—111no—
729#3257—111no—
730#3246—111no—
731#3221—111no—
732#3221—111no—
733#3213—111no—
734#3118—111no—
735#3118—111no—
736#3110—111no—
737#3042—111no—
738#3042—111no—
739C2×#463—111no—
740#2992—111no—
741C23×C11—21no—
742C23×C11—21no—
743C23×C11—21no—
744C23×C11—21no—
745C22×D11—21no—
746C22×D11—21no—
747C22×D11—42no—
748C22×D11—42no—
749C22×D11—42no—
750C22×D11—42no—
751C22×D11—42no—
752C22×D11—81no—
753C22×D11—81no—
754C22×D11—81no—
755C22×D11—81no—
756C22×D11—81no—
757C22×D11—81no—
758C22×D11—81no—
759C22×D11C22×D411yescharacteristic
760C22×D11C22×D411yescharacteristic
761C22×D11C22×D411yescharacteristic
762Q8×C11—21no—
763Q8×C11—21no—
764Q8×C11—21no—
765Q8×C11—21no—
766Q8×C11—41no—
767D4×C11—21no—
768D4×C11—21no—
769D4×C11—21no—
770D4×C11—21no—
771D4×C11—21no—
772D4×C11—21no—
773D4×C11—21no—
774D4×C11—21no—
775D4×C11—42no—
776D4×C11—81no—
777D4×C11—81no—
778D4×C11—81no—
779D4×C11—81no—
780D4×C11—81no—
781C2×C4×C11—21no—
782C2×C4×C11—21no—
783C2×C4×C11—21no—
784C2×C4×C11—21no—
785C2×C4×C11—42no—
786C2×C4×C11—81no—
787C2×C4×C11—81no—
788C2×C4×C11—81no—
789C2×C4×C11C22×D411yescharacteristic
790C2×C4×C11C22×D411yescharacteristic
791C2×C4×C11C22×D411yescharacteristic
792C2×C4×C11C22×D411yescharacteristic
793C2×C4×C11C22×D411yescharacteristic
794C2×C4×C11C22×D411yescharacteristic
795C2×C4×C11C2511yescharacteristic
796C22⋊D11—42no—
797C22⋊D11—42no—
798C22⋊D11—42no—
799C22⋊D11—42no—
800C22⋊D11—42no—
801C22⋊D11—81no—
802C22⋊D11—81no—
803C22⋊D11—81no—
804C22⋊D11—81no—
805C22⋊D11—81no—
806C22⋊D11—81no—
807C22⋊D11—81no—
808C2×Dic11—21no—
809C2×Dic11—21no—
810C2×Dic11—21no—
811C2×Dic11—21no—
812C2×Dic11—21no—
813C2×Dic11—21no—
814C2×Dic11—81no—
815C2×Dic11—81no—
816C2×Dic11—81no—
817C2×Dic11—81no—
818C2×Dic11C22×D411yescharacteristic
819C2×Dic11C22×D411yescharacteristic
820C2×Dic11C22×D411yescharacteristic
821C2×Dic11C22×D411yescharacteristic
822C2×Dic11C22×D411yescharacteristic
823D44—22no—
824D44—22no—
825D44—21no—
826D44—21no—
827D44—21no—
828D44—41no—
829D44—81no—
830D44—81no—
831D44H(5,𝔽2)12yes—
832C4×D11—22no—
833C4×D11—21no—
834C4×D11—21no—
835C4×D11—21no—
836C4×D11—21no—
837C4×D11—21no—
838C4×D11—21no—
839C4×D11—41no—
840C4×D11—42no—
841C4×D11—81no—
842C4×D11—81no—
843C4×D11—81no—
844C4×D11—81no—
845C4×D11—81no—
846C4×D11—81no—
847C4×D11—81no—
848C4×D11—81no—
849C4×D11—81no—
850Dic22—21no—
851Dic22—21no—
852Dic22—21no—
853Dic22—21no—
854Dic22—81no—
855Dic22—81no—
856Dic22—81no—
857Dic22—81no—
858Dic22—81no—
859C8×C11—21no—
860C8×C11—21no—
861C8×C11—21no—
862C8×C11—21no—
863C11⋊C8—21no—
864C11⋊C8—21no—
865C11⋊C8—21no—
866C11⋊C8—21no—
867C2×AGL(1,ℤ/8)—111no—
868C2×AGL(1,ℤ/8)—111no—
869C22×SD16—111no—
870C22×SD16—111no—
871C22×SD16—111no—
872C22×D8—111no—
873#563—221no—
874#562—221no—
875#556—111no—
876#556C2×D1111yescharacteristic, complemented
877#555—111no—
878#554—111no—
879#553—111no—
880#553—111no—
881#553—221no—
882#551—221no—
883#551—221no—
884#550C2×D1111yescharacteristic, complemented
885D4×Q8—111no—
886D4×Q8—111no—
887#548—111no—
888#548—111no—
889#546—111no—
890#546—111no—
891#546—221no—
892#546—221no—
893#546—221no—
894D42—111no—
895D42—111no—
896D42—111no—
897#543—221no—
898#542—111no—
899#542—111no—
900#542—221no—
901#542—221no—
902#540—111no—
903#540—111no—
904#538—221no—
905#538—221no—
906#538—221no—
907#536—111no—
908#536—111no—
909#533—111no—
910#532—111no—
911#529—111no—
912C2×#124—111no—
913#525—221no—
914C2×#121—221no—
915#518—111no—
916#518—111no—
917C2×C4×D4—111no—
918#496—111no—
919#496—111no—
920#496C2×D1111yescharacteristic, complemented
921#496C2×D1111yescharacteristic, complemented
922#492—111no—
923#492C2×D1111yescharacteristic, complemented
924#491—111no—
925#491—111no—
926#489—111no—
927#489—111no—
928#488—111no—
929#488—111no—
930#485—111no—
931#485—111no—
932#484—111no—
933#484—111no—
934#482—111no—
935#482—111no—
936#479—111no—
937#479—111no—
938#478—111no—
939#478—111no—
940#476—111no—
941#476—111no—
942#475—111no—
943#475—111no—
944#474—111no—
945#474—111no—
946#469—111no—
947#469—111no—
948#468—111no—
949#468—111no—
950#466—111no—
951#466—111no—
952#465—111no—
953#465—111no—
954#465—111no—
955#465—111no—
956#465—111no—
957#465—111no—
958#463—111no—
959#463—111no—
960#463—111no—
961#463—111no—
962#463—111no—
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#463C2×D1111yescharacteristic, complemented
973#463C2×D1111yescharacteristic, complemented
974#461—111no—
975#461—111no—
976#461—111no—
977#461—111no—
978#461—111no—
979#461—111no—
980#461—111no—
981#461C2×D1111yescharacteristic, complemented
982#460—111no—
983#460—111no—
984#460C2×D1111yescharacteristic, complemented
985#460C2×D1111yescharacteristic, complemented
986#459—111no—
987#459C2×D1111yescharacteristic, complemented
988#450—111no—
989#450—111no—
990#450—111no—
991#450—111no—
992#449—111no—
993#449—111no—
994#449—111no—
995#449—111no—
996#448—111no—
997#448—111no—
998#448—111no—
999#448—111no—
1000#448—111no—
1001#448—111no—
1002#447—111no—
1003#447—111no—
1004#447—111no—
1005#447—111no—
1006#446—111no—
1007#446C2×D1111yescharacteristic, complemented
1008#442—111no—
1009#442—111no—
1010#440—111no—
1011#440—111no—
1012#440—111no—
1013#440—111no—
1014#440C2×D1111yescharacteristic, complemented
1015#440C2×D1111yescharacteristic, complemented
1016C4×SD16—111no—
1017C4×SD16—111no—
1018C4×D8—111no—
1019C4×D8C2×D1111yescharacteristic, complemented
1020#435—111no—
1021#435—111no—
1022#435—111no—
1023#435—111no—
1024C8×D4—111no—
1025C8×D4—111no—
1026#433—111no—
1027#433—111no—
1028#432—111no—
1029#424—111no—
1030#424—111no—
1031C2×C4⋊C8—111no—
1032#419—111no—
1033#419—111no—
1034#416—111no—
1035#416—111no—
1036C2×#103—111no—
1037C2×#102—111no—
1038C22×C11—41no—
1039C22×C11—41no—
1040C22×C11—41no—
1041C22×C11—41no—
1042C22×C11—41no—
1043C22×C11—41no—
1044C22×C11—41no—
1045C22×C11—41no—
1046C22×C11—41no—
1047C22×C11—41no—
1048C22×C11—41no—
1049C22×C11—41no—
1050C22×C11C23×D411yescharacteristic
1051C2×D11—21no—
1052C2×D11—21no—
1053C2×D11—21no—
1054C2×D11—21no—
1055C2×D11—22no—
1056C2×D11—21no—
1057C2×D11—21no—
1058C2×D11—21no—
1059C2×D11—21no—
1060C2×D11—41no—
1061C2×D11—41no—
1062C2×D11—41no—
1063C2×D11—41no—
1064C2×D11—41no—
1065C2×D11—84no—
1066C2×D11—162no—
1067C2×D11—162no—
1068C2×D11—162no—
1069C2×D11#57712yes—
1070C4×C11—21no—
1071C4×C11—21no—
1072C4×C11—21no—
1073C4×C11—21no—
1074C4×C11—21no—
1075C4×C11—21no—
1076C4×C11—41no—
1077C4×C11—41no—
1078C4×C11—41no—
1079C4×C11—41no—
1080C4×C11C2×H(5,𝔽2)11yescharacteristic
1081C4×C11#58511yescharacteristic
1082Dic11—21no—
1083Dic11—21no—
1084Dic11—21no—
1085Dic11—21no—
1086Dic11—21no—
1087Dic11—41no—
1088Dic11—41no—
1089Dic11—41no—
1090Dic11—41no—
1091Dic11—41no—
1092Dic11—41no—
1093C2×#41—21no—
1094C2×#41—111no—
1095C2×#41—111no—
1096C2×#41—221no—
1097C22×Q8—111no—
1098C22×Q8—111no—
1099C22×Q8—111no—
1100C22×D4—111no—
1101C22×D4—111no—
1102C22×D4—111no—
1103C22×D4—111no—
1104C22×D4—221no—
1105C22×D4—221no—
1106C22×D4—221no—
1107C23×C4—221no—
1108AGL(1,ℤ/8)—442no—
1109AGL(1,ℤ/8)—442no—
1110C2×SD16—111no—
1111C2×SD16—111no—
1112C2×SD16—111no—
1113C2×SD16—111no—
1114C2×SD16—111no—
1115C2×SD16—111no—
1116C2×SD16—111no—
1117C2×SD16—111no—
1118C2×SD16—111no—
1119C2×SD16—111no—
1120C2×SD16—442no—
1121C2×SD16—442no—
1122C2×SD16—442no—
1123C2×SD16C22×D1111yescharacteristic
1124C2×SD16C22×D1111yescharacteristic
1125C2×SD16C22×D1111yescharacteristic
1126C2×SD16C22×D1111yescharacteristic
1127C2×SD16C22×D1111yescharacteristic
1128C2×SD16C22×D1111yescharacteristic
1129C2×D8—111no—
1130C2×D8—111no—
1131C2×D8—111no—
1132C2×D8—111no—
1133C2×D8—111no—
1134C2×D8—442no—
1135C2×D8C22×D1111yescharacteristic
1136C2×D8C22×D1111yescharacteristic
1137C2×D8C22×D1111yescharacteristic
1138C2×M16—111no—
1139C2×M16—111no—
1140C22×C8—111no—
1141C22×C8—111no—
1142C22×C8—111no—
1143C22×C8—111no—
1144C4⋊Q8—111no—
1145C4⋊Q8—111no—
1146C4⋊Q8—111no—
1147C4⋊Q8—111no—
1148C4⋊Q8—221no—
1149C4⋊Q8—221no—
1150C4⋊Q8C22×D1111yescharacteristic
1151#127C22×D1111yescharacteristic
1152#127C22×D1111yescharacteristic
1153#127C22×D1111yescharacteristic
1154#126—21no—
1155#126—21no—
1156#126—111no—
1157#126—111no—
1158#126—221no—
1159#126—221no—
1160#126—221no—
1161#126—221no—
1162#126—221no—
1163#126—221no—
1164#125—111no—
1165#125—111no—
1166#125—111no—
1167#125—221no—
1168#124—111no—
1169#124—111no—
1170#124—111no—
1171#124—111no—
1172#124—111no—
1173#124—221no—
1174#124—221no—
1175#124—221no—
1176#124—221no—
1177#124—221no—
1178#124—221no—
1179#124—221no—
1180#124—221no—
1181#124—221no—
1182#124C22×D1111yescharacteristic
1183#124C22×D1111yescharacteristic
1184#123—111no—
1185#123—111no—
1186#123—221no—
1187#123—221no—
1188#123—221no—
1189#123—221no—
1190#123—221no—
1191#123—221no—
1192#123—221no—
1193#123—221no—
1194#123—221no—
1195#123—221no—
1196#123—221no—
1197#123—221no—
1198#123—221no—
1199#123—221no—
1200C22⋊Q8—21no—
1201C22⋊Q8—111no—
1202C22⋊Q8—111no—
1203C22⋊Q8—111no—
1204C22⋊Q8—111no—
1205C22⋊Q8—111no—
1206C22⋊Q8—221no—
1207C22⋊Q8—221no—
1208C22⋊Q8—221no—
1209C22⋊Q8—221no—
1210C22⋊Q8—221no—
1211C22⋊Q8—221no—
1212C22⋊Q8—221no—
1213C22⋊Q8—221no—
1214C22⋊Q8—221no—
1215C22⋊Q8—221no—
1216C22⋊Q8—221no—
1217C22⋊Q8—221no—
1218C22⋊Q8—221no—
1219C22⋊Q8—221no—
1220C22⋊Q8—221no—
1221C22⋊Q8—221no—
1222C22⋊Q8—221no—
1223#121—21no—
1224#121—21no—
1225#121—21no—
1226#121—111no—
1227#121—111no—
1228#121—111no—
1229#121—111no—
1230#121—111no—
1231#121—111no—
1232#121—111no—
1233#121—111no—
1234#121—111no—
1235#121—221no—
1236#121—221no—
1237#121—221no—
1238#121—221no—
1239#121—221no—
1240#121—221no—
1241#121—221no—
1242#121—221no—
1243#121—221no—
1244#121—221no—
1245#121—221no—
1246#121—221no—
1247#121—221no—
1248#121—221no—
1249#121—221no—
1250#120—221no—
1251#120—221no—
1252#120—221no—
1253#120—221no—
1254#120—221no—
1255#120—221no—
1256#120—221no—
1257#120—221no—
1258C4×Q8—111no—
1259C4×Q8—111no—
1260C4×Q8—221no—
1261C4×Q8C22×D1111yescharacteristic
1262C4×Q8C22×D1111yescharacteristic
1263C4×Q8C22×D1111yescharacteristic
1264C4×D4—111no—
1265C4×D4—111no—
1266C4×D4—111no—
1267C4×D4—111no—
1268C4×D4—111no—
1269C4×D4—111no—
1270C4×D4—111no—
1271C4×D4—111no—
1272C4×D4—111no—
1273C4×D4—111no—
1274C4×D4—111no—
1275C4×D4—221no—
1276C4×D4—221no—
1277C4×D4—221no—
1278C4×D4—221no—
1279C4×D4—221no—
1280C4×D4—221no—
1281C4×D4—221no—
1282C4×D4—221no—
1283C4×D4—221no—
1284C4×D4—221no—
1285C4×D4—221no—
1286C4×D4—221no—
1287C4×D4—221no—
1288C4×D4C22×D1111yescharacteristic
1289C4×D4C22×D1111yescharacteristic
1290C4×D4C22×D1111yescharacteristic
1291C4×D4C22×D1111yescharacteristic
1292#117—21no—
1293#117—111no—
1294#117—111no—
1295#117—111no—
1296#117—111no—
1297#117—221no—
1298#117—221no—
1299#117—221no—
1300C2×C4⋊C4—111no—
1301C2×C4⋊C4—221no—
1302C2×C22⋊C4—221no—
1303C2×C22⋊C4—221no—
1304C2×C22⋊C4—221no—
1305C2×C22⋊C4—221no—
1306C2×C22⋊C4—221no—
1307C2×C22⋊C4—221no—
1308C2×C22⋊C4—221no—
1309C2×C22⋊C4—221no—
1310C2×C22⋊C4—221no—
1311C2×C42—111no—
1312#107—111no—
1313#107—111no—
1314#107—111no—
1315#107C22×D1111yescharacteristic
1316#106—111no—
1317#106—111no—
1318#106—111no—
1319#106—111no—
1320C4⋊C8—111no—
1321C4⋊C8—111no—
1322C4⋊C8—111no—
1323C4⋊C8—111no—
1324C4⋊C8—111no—
1325C4⋊C8—111no—
1326C4⋊C8—111no—
1327C4⋊C8C22×D1111yescharacteristic
1328C4⋊C8C22×D1111yescharacteristic
1329C4⋊C8C22×D1111yescharacteristic
1330#103—111no—
1331#103—111no—
1332#103—111no—
1333#103—111no—
1334#103—111no—
1335#103—111no—
1336#103—111no—
1337#103—111no—
1338#103—111no—
1339#103—111no—
1340#103—111no—
1341#103—111no—
1342#103—111no—
1343#103—111no—
1344#103C22×D1111yescharacteristic
1345#103C22×D1111yescharacteristic
1346#102—111no—
1347#102—111no—
1348#102—111no—
1349#102—111no—
1350#102—111no—
1351#102—111no—
1352#102—111no—
1353#102—111no—
1354#102—111no—
1355#102—111no—
1356#102—111no—
1357#102—111no—
1358#102C22×D1111yescharacteristic
1359#102C22×D1111yescharacteristic
1360#102C22×D1111yescharacteristic
1361#102C22×D1111yescharacteristic
1362C22⋊C8—111no—
1363C22⋊C8—111no—
1364C22⋊C8—111no—
1365C22⋊C8—111no—
1366C22⋊C8—111no—
1367C22⋊C8—111no—
1368#97—111no—
1369#97—111no—
1370#97C22×D1111yescharacteristic
1371#97C22×D1111yescharacteristic
1372C4×C8—111no—
1373C4×C8C22×D1111yescharacteristic
1374C2×C11—81no—
1375C2×C11—81no—
1376C2×C11—81no—
1377C2×C11—81no—
1378C2×C11#348811yescharacteristic
1379C2×C11C2×#57711yescharacteristic
1380C2×C11#358511yescharacteristic
1381D11—22no—
1382D11—41no—
1383D11—41no—
1384D11—42no—
1385D11—81no—
1386C24—221no—
1387C24—221no—
1388C24—221no—
1389C24—221no—
1390#41—82no—
1391#41—441no—
1392#41—441no—
1393#41—441no—
1394#41—441no—
1395#41—882no—
1396C2×Q8—111no—
1397C2×Q8—111no—
1398C2×Q8—221no—
1399C2×Q8—221no—
1400C2×Q8—221no—
1401C2×Q8—221no—
1402C2×Q8—221no—
1403C2×Q8—441no—
1404C2×Q8—441no—
1405C2×Q8—441no—
1406C2×Q8—441no—
1407C2×Q8—441no—
1408C2×Q8—441no—
1409C2×Q8D4×D1111yescharacteristic
1410C2×Q8C23×D1111yescharacteristic
1411C2×Q8C23×D1111yescharacteristic
1412C2×D4—21no—
1413C2×D4—21no—
1414C2×D4—21no—
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—111no—
1419C2×D4—111no—
1420C2×D4—111no—
1421C2×D4—111no—
1422C2×D4—111no—
1423C2×D4—221no—
1424C2×D4—221no—
1425C2×D4—221no—
1426C2×D4—221no—
1427C2×D4—221no—
1428C2×D4—221no—
1429C2×D4—222no—
1430C2×D4—222no—
1431C2×D4—222no—
1432C2×D4—221no—
1433C2×D4—221no—
1434C2×D4—221no—
1435C2×D4—221no—
1436C2×D4—221no—
1437C2×D4—221no—
1438C2×D4—221no—
1439C2×D4—221no—
1440C2×D4—441no—
1441C2×D4—441no—
1442C2×D4—441no—
1443C2×D4—441no—
1444C2×D4—441no—
1445C2×D4—882no—
1446C2×D4—882no—
1447C2×D4—882no—
1448C2×D4C23×D1111yescharacteristic
1449C2×D4C23×D1111yescharacteristic
1450C2×D4C23×D1111yescharacteristic
1451C2×D4C23×D1111yescharacteristic
1452C22×C4—21no—
1453C22×C4—21no—
1454C22×C4—21no—
1455C22×C4—21no—
1456C22×C4—111no—
1457C22×C4—111no—
1458C22×C4—111no—
1459C22×C4—111no—
1460C22×C4—111no—
1461C22×C4—221no—
1462C22×C4—221no—
1463C22×C4—221no—
1464C22×C4—221no—
1465C22×C4—221no—
1466C22×C4—221no—
1467C22×C4—221no—
1468C22×C4—221no—
1469C22×C4—221no—
1470C22×C4—221no—
1471C22×C4—221no—
1472C22×C4—221no—
1473C22×C4—221no—
1474C22×C4—221no—
1475C22×C4—882no—
1476SD16—41no—
1477SD16—41no—
1478SD16—41no—
1479SD16—41no—
1480SD16—41no—
1481SD16—41no—
1482SD16—222no—
1483SD16—222no—
1484SD16—222no—
1485SD16—222no—
1486SD16—441no—
1487SD16—441no—
1488SD16—441no—
1489SD16—441no—
1490SD16—441no—
1491SD16—441no—
1492D8—41no—
1493D8—41no—
1494D8—41no—
1495D8—222no—
1496D8—222no—
1497D8—441no—
1498D8—441no—
1499D8—441no—
1500M16—441no—
1501M16—441no—
1502C2×C8—111no—
1503C2×C8—111no—
1504C2×C8—111no—
1505C2×C8—111no—
1506C2×C8—441no—
1507C2×C8—441no—
1508C2×C8—441no—
1509C2×C8—441no—
1510C2×C8C23×D1111yescharacteristic
1511C2×C8C23×D1111yescharacteristic
1512C2×C8C23×D1111yescharacteristic
1513C2×C8C23×D1111yescharacteristic
1514C4⋊C4—21no—
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—111no—
1519C4⋊C4—111no—
1520C4⋊C4—111no—
1521C4⋊C4—111no—
1522C4⋊C4—111no—
1523C4⋊C4—111no—
1524C4⋊C4—111no—
1525C4⋊C4—111no—
1526C4⋊C4—111no—
1527C4⋊C4—111no—
1528C4⋊C4—111no—
1529C4⋊C4—221no—
1530C4⋊C4—221no—
1531C4⋊C4—221no—
1532C4⋊C4—221no—
1533C4⋊C4—221no—
1534C4⋊C4—221no—
1535C4⋊C4—221no—
1536C4⋊C4—221no—
1537C4⋊C4—221no—
1538C4⋊C4—221no—
1539C4⋊C4—221no—
1540C4⋊C4—221no—
1541C4⋊C4—221no—
1542C4⋊C4—221no—
1543C4⋊C4—221no—
1544C4⋊C4—221no—
1545C4⋊C4—221no—
1546C4⋊C4D4×D1111yescharacteristic
1547C4⋊C4D4×D1111yescharacteristic
1548C4⋊C4D4×D1111yescharacteristic
1549C4⋊C4C23×D1111yescharacteristic
1550C4⋊C4C23×D1111yescharacteristic
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—21no—
1557C22⋊C4—21no—
1558C22⋊C4—21no—
1559C22⋊C4—111no—
1560C22⋊C4—111no—
1561C22⋊C4—111no—
1562C22⋊C4—111no—
1563C22⋊C4—111no—
1564C22⋊C4—111no—
1565C22⋊C4—111no—
1566C22⋊C4—111no—
1567C22⋊C4—111no—
1568C22⋊C4—111no—
1569C22⋊C4—221no—
1570C22⋊C4—221no—
1571C22⋊C4—221no—
1572C22⋊C4—221no—
1573C22⋊C4—221no—
1574C22⋊C4—221no—
1575C22⋊C4—221no—
1576C22⋊C4—221no—
1577C22⋊C4—221no—
1578C22⋊C4—221no—
1579C22⋊C4—221no—
1580C22⋊C4—221no—
1581C22⋊C4—221no—
1582C22⋊C4—221no—
1583C22⋊C4—221no—
1584C22⋊C4—221no—
1585C22⋊C4—221no—
1586C22⋊C4—221no—
1587C22⋊C4—221no—
1588C22⋊C4—221no—
1589C22⋊C4—221no—
1590C22⋊C4—221no—
1591C22⋊C4—221no—
1592C22⋊C4—221no—
1593C22⋊C4—221no—
1594C22⋊C4—221no—
1595C22⋊C4—221no—
1596C22⋊C4—221no—
1597C22⋊C4—221no—
1598C22⋊C4—221no—
1599C42—21no—
1600C42—21no—
1601C42—111no—
1602C42—111no—
1603C42—111no—
1604C42—221no—
1605C42—221no—
1606C42—221no—
1607C42—221no—
1608C42C23×D1111yescharacteristic
1609C42C23×D1111yescharacteristic
1610C42C23×D1111yescharacteristic
1611C11#6201611yescharacteristic, complemented, Sylow
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—21no—
1616C23—111no—
1617C23—111no—
1618C23—111no—
1619C23—221no—
1620C23—221no—
1621C23—442no—
1622C23—442no—
1623C23—442no—
1624C23—442no—
1625C23—442no—
1626C23—881no—
1627C23—881no—
1628C23—881no—
1629C23—881no—
1630C23—881no—
1631C23—881no—
1632C23—881no—
1633Q8—21no—
1634Q8—21no—
1635Q8—21no—
1636Q8—21no—
1637Q8—41no—
1638Q8—221no—
1639Q8—221no—
1640Q8—221no—
1641Q8—221no—
1642Q8—881no—
1643Q8—881no—
1644Q8—881no—
1645Q8—881no—
1646Q8—881no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—21no—
1653D4—21no—
1654D4—21no—
1655D4—42no—
1656D4—81no—
1657D4—81no—
1658D4—81no—
1659D4—81no—
1660D4—81no—
1661D4—112no—
1662D4—222no—
1663D4—222no—
1664D4—221no—
1665D4—221no—
1666D4—221no—
1667D4—441no—
1668D4—442no—
1669D4—442no—
1670D4—442no—
1671D4—442no—
1672D4—442no—
1673D4—881no—
1674D4—881no—
1675D4—881no—
1676D4—881no—
1677D4—881no—
1678D4—881no—
1679D4—881no—
1680D4—881no—
1681D4—881no—
1682C2×C4—21no—
1683C2×C4—21no—
1684C2×C4—21no—
1685C2×C4—21no—
1686C2×C4—42no—
1687C2×C4—81no—
1688C2×C4—81no—
1689C2×C4—81no—
1690C2×C4—111no—
1691C2×C4—111no—
1692C2×C4—111no—
1693C2×C4—111no—
1694C2×C4—111no—
1695C2×C4—222no—
1696C2×C4—221no—
1697C2×C4—221no—
1698C2×C4—221no—
1699C2×C4—221no—
1700C2×C4—221no—
1701C2×C4—221no—
1702C2×C4—221no—
1703C2×C4—221no—
1704C2×C4—221no—
1705C2×C4—221no—
1706C2×C4—221no—
1707C2×C4—221no—
1708C2×C4—441no—
1709C2×C4—442no—
1710C2×C4—881no—
1711C2×C4—881no—
1712C2×C4—881no—
1713C2×C4—881no—
1714C2×C4—881no—
1715C2×C4—881no—
1716C2×C4—881no—
1717C2×C4—881no—
1718C2×C4—881no—
1719C2×C4—881no—
1720C2×C4—881no—
1721C2×C4—881no—
1722C2×C4—881no—
1723C2×C4C2×D4×D1111yescharacteristic
1724C2×C4C2×D4×D1111yescharacteristic
1725C2×C4C2×D4×D1111yescharacteristic
1726C2×C4C2×D4×D1111yescharacteristic
1727C2×C4C2×D4×D1111yescharacteristic
1728C2×C4C2×D4×D1111yescharacteristic
1729C2×C4C24×D1111yescharacteristic
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—21no—
1734C8—221no—
1735C8—221no—
1736C8—221no—
1737C8—221no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—112no—
1751C22—221no—
1752C22—221no—
1753C22—221no—
1754C22—221no—
1755C22—221no—
1756C22—221no—
1757C22—222no—
1758C22—221no—
1759C22—221no—
1760C22—441no—
1761C22—441no—
1762C22—441no—
1763C22—441no—
1764C22—441no—
1765C22—884no—
1766C22—1762no—
1767C22—1762no—
1768C22—1762no—
1769C22C22×D4×D1111yescharacteristic
1770C4—21no—
1771C4—21no—
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—21no—
1776C4—41no—
1777C4—41no—
1778C4—41no—
1779C4—41no—
1780C4—221no—
1781C4—221no—
1782C4—221no—
1783C4—221no—
1784C4—221no—
1785C4—441no—
1786C4—441no—
1787C4—441no—
1788C4—441no—
1789C4—441no—
1790C4—441no—
1791C4#1062345311yescharacteristic
1792C4D11×H(5,𝔽2)11yescharacteristic
1793C2—81no—
1794C2—81no—
1795C2—81no—
1796C2—81no—
1797C2—222no—
1798C2—441no—
1799C2—441no—
1800C2—442no—
1801C2—881no—
1802C2#1308228411yescharacteristic
1803C2D11×#57711yescharacteristic
1804C2#1308339211yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3397C2
socleC22×C11C23×D4
hypercenter#3397D11
hypocenterC11#62016
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3397

Complements

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

NH ≅ G/Ntype
1. #13083185C2semidirect
2. #13082647C2semidirect
3. #13081632C2semidirect
4. #13081445C2semidirect
5. #13081437C2semidirect
6. #13080809C2semidirect
7. #13080807C2semidirect
8. #13080794C2semidirect
9. #13080792C2semidirect
10. #13080473C2semidirect
11. #13080471C2semidirect
12. #13080311C2semidirect
13. #13080307C2semidirect
14. #13080110C2semidirect
15. #13080106C2semidirect
16. #13080095C2semidirect
17. #13080091C2semidirect
18. #13080025C2semidirect
19. #13080023C2semidirect
20. #13079930C2semidirect
21. #13079672C2semidirect
22. #13079670C2semidirect
23. #13079598C2semidirect
24. #13078804C2semidirect
25. #13078796C2semidirect
26. #13078713C2semidirect
27. #13078126C2semidirect
28. #13078123C2semidirect
29. D11×#463C2semidirect
30. #13077754C2semidirect
31. C11×#3397C2semidirect
32. C11×#556C22semidirect
33. C11×#550C22semidirect
38. C2×SD16×D11C22semidirect
39. C2×SD16×D11C22semidirect
42. #10623258C22semidirect
43. #10623255C22semidirect
44. #10623250C22semidirect
45. #10623250C22semidirect
48. #10623248C22semidirect
54. #10623208C22semidirect
55. #10623207C22semidirect
56. #10623206C22semidirect
57. D11×#124C22semidirect
66. #10623115C22semidirect
67. #10623113C22semidirect
69. #10623110C22semidirect
70. #10623109C22semidirect
71. #10623107C22semidirect
72. Q8×D44C22semidirect
73. #10623094C22semidirect
74. #10623092C22semidirect
77. #10623085C22semidirect
78. #10623076C22semidirect
79. #10623076C22semidirect
83. C11×#496C22semidirect
84. C11×#496C22semidirect
85. C11×#492C22semidirect
86. C11×#463C22semidirect
87. C11×#463C22semidirect
88. C11×#461C22semidirect
89. C11×#460C22semidirect
90. C11×#460C22semidirect
91. C11×#459C22semidirect
92. C11×#446C22semidirect
93. C11×#440C22semidirect
94. C11×#440C22semidirect
95. C4×C11×D8C22semidirect
96. #10622787C22semidirect
97. #10622785C22semidirect
98. #10622785C22semidirect
99. #10622784C22semidirect
100. #10622784C22semidirect
101. #10622784C22semidirect
102. #10622783C22semidirect
103. #10622783C22semidirect
104. #10622783C22semidirect
105. #10622783C22semidirect
106. #10622783C22semidirect
107. #10622783C22semidirect
109. #10622782C22semidirect
110. #10622778C22semidirect
111. #10622778C22semidirect
112. #10622778C22semidirect
113. #10622775C22semidirect
114. #10622775C22semidirect
115. #10622775C22semidirect
116. #10622772C22semidirect
117. #10622771C22semidirect
118. #10622771C22semidirect
119. #10622770C22semidirect
121. #10622769C22semidirect
122. #10622769C22semidirect
123. #10622766C22semidirect
124. #10622766C22semidirect
125. #10622766C22semidirect
126. #10622696C22semidirect
127. #10622695C22semidirect
128. #10622689C22semidirect
129. #10622688C22semidirect
130. #10622688C22semidirect
131. #10622687C22semidirect
132. #10622687C22semidirect
133. #10622685C22semidirect
136. #10622669C22semidirect
137. #10622668C22semidirect
138. #10622639C22semidirect
139. C4×#4325C22semidirect
140. #10622637C22semidirect
141. #10622635C22semidirect
142. #10622633C22semidirect
143. #10622632C22semidirect
144. #10622631C22semidirect
145. #10622631C22semidirect
146. #10622629C22semidirect
147. #10622629C22semidirect
149. C4×#4323C22semidirect
150. #10622622C22semidirect
151. #10622503C22semidirect
152. #10622501C22semidirect
153. #10622498C22semidirect
154. #10622497C22semidirect
155. #10622464C22semidirect
156. #10622460C22semidirect
159. #10622454C22semidirect
160. #10622452C22semidirect
161. #10622452C22semidirect
162. #10622449C22semidirect
163. #10622449C22semidirect
164. #10622447C22semidirect
165. D11×C4⋊C8C22semidirect
166. #10622442C22semidirect
168. #10622431C22semidirect
169. #10622428C22semidirect
170. #10622422C22semidirect
171. #10622417C22semidirect
172. #10622415C22semidirect
173. #10622415C22semidirect
174. D11×#103C22semidirect
176. #10622395C22semidirect
177. #10622393C22semidirect
178. #10622392C22semidirect
179. #10622391C22semidirect
180. #10622391C22semidirect
181. #10622391C22semidirect
183. #10622389C22semidirect
184. #10622388C22semidirect
186. #10622385C22semidirect
187. D11×#102C22semidirect
188. #10622374C22semidirect
189. #10622374C22semidirect
190. #10622372C22semidirect
191. #10622327C22semidirect
193. #10622323C22semidirect
194. #10622322C22semidirect
195. #10622319C22semidirect
196. #10622319C22semidirect
197. #10622318C22semidirect
198. #10622316C22semidirect
199. #10622310C22semidirect
200. C4×#4314C22semidirect
201. #10622303C22semidirect
202. C8×D44C22semidirect
713. #3397D11semidirect
876. #556C2×D11semidirect
884. #550C2×D11semidirect
920. #496C2×D11semidirect
921. #496C2×D11semidirect
923. #492C2×D11semidirect
972. #463C2×D11semidirect
973. #463C2×D11semidirect
981. #461C2×D11semidirect
984. #460C2×D11semidirect
985. #460C2×D11semidirect
987. #459C2×D11semidirect
1007. #446C2×D11semidirect
1014. #440C2×D11semidirect
1015. #440C2×D11semidirect
1019. C4×D8C2×D11semidirect
1611. C11#62016semidirect

Maximal subgroups

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

subgroupindex
#130831852
#130826472
#130816322
#130814452
#130814372
#130808092
#130808072
#130807942
#130807922
#130804732
#130804712
#130803112
#130803072
#130801102
#130801062
#130800952
#130800912
#130800252
#130800232
#130799302
#130796722
#130796702
#130795982
#130788042
#130787962
#130787132
#130781262
#130781232
D11×#4632
#130777542
C11×#33972
#6201611