Finite Group Databasebeta

← #15647087

Subgroups — #15647087

Order 2816.

1838 conjugacy classes of subgroups.

The subgroup lattice has 1756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083053C211yesmaximal, characteristic, complemented
2#13082550C211yesmaximal, characteristic, complemented
3#13081679C211yesmaximal, characteristic, complemented
4#13081672C211yesmaximal, characteristic, complemented
5#13081446C211yesmaximal, characteristic, complemented
6#13081400C211yesmaximal, characteristic, complemented
7#13080784C211yesmaximal, characteristic, complemented
8#13080673C211yesmaximal, characteristic, complemented
9#13080613C211yesmaximal, characteristic, complemented
10#13080589C211yesmaximal, characteristic, complemented
11#13080509C211yesmaximal, characteristic, complemented
12#13080476C211yesmaximal, characteristic, complemented
13#13080320C211yesmaximal, characteristic, complemented
14#13080309C211yesmaximal, characteristic, complemented
15#13080136C211yesmaximal, characteristic, complemented
16#13080123C211yesmaximal, characteristic, complemented
17#13080121C211yesmaximal, characteristic, complemented
18#13080108C211yesmaximal, characteristic, complemented
19#13080064C211yesmaximal, characteristic, complemented
20#13080048C211yesmaximal, characteristic, complemented
21#13079730C211yesmaximal, characteristic, complemented
22#13079674C211yesmaximal, characteristic, complemented
23#13079640C211yesmaximal, characteristic, complemented
24#13078870C211yesmaximal, characteristic, complemented
25#13078837C211yesmaximal, characteristic, complemented
26#13078750C211yesmaximal, characteristic, complemented
27#13078169C211yesmaximal, characteristic, complemented
28#13078126C211yesmaximal, characteristic, complemented
29C2×#10622454C211yesmaximal, characteristic, complemented
30#13077752C211yesmaximal, characteristic, complemented
31C11×#3250C211yesmaximal, characteristic, complemented
32C11×#529C2211yescharacteristic
33C11×#529C2211yescharacteristic, complemented
34C2×#66971C2211yescharacteristic
35C2×#66969C2211yescharacteristic
36C2×SD16×D11C2211yescharacteristic
37C2×#66964C2211yescharacteristic
38C22×#4314C2211yescharacteristic
39C22×#4314C2211yescharacteristic
40#10623243—21no—
41#10623243—21no—
42#10623238—21no—
43#10623235—21no—
44#10623228C2211yescharacteristic, complemented
45#10623228C2211yescharacteristic, complemented
46#10623226C2211yescharacteristic
47#10623221C2211yescharacteristic
48#10623212C2211yescharacteristic
49#10623207C2211yescharacteristic
50#10623206C2211yescharacteristic, complemented
51#10623206C2211yescharacteristic, complemented
52#10623196—21no—
53#10623196—21no—
54#10623187—21no—
55D11×#123—21no—
56#10623173C2211yescharacteristic
57#10623163C2211yescharacteristic
58#10623163C2211yescharacteristic, complemented
59#10623161C2211yescharacteristic
60#10623142C2211yescharacteristic
61#10623140C2211yescharacteristic
62#10623129C2211yescharacteristic
63#10623129C2211yescharacteristic, complemented
64#10623113C2211yescharacteristic
65Q8×D44C2211yescharacteristic, complemented
66#10623105C2211yescharacteristic
67#10623098C2211yescharacteristic, complemented
68#10623096—21no—
69#10623093C2211yescharacteristic
70#10623087—21no—
71#10623086C2211yescharacteristic, complemented
72#10623085—21no—
73#10623076C2211yescharacteristic
74#10623074—21no—
75#10623073C2211yescharacteristic, complemented
76#10623065—21no—
77#10623061—21no—
78#10623058—21no—
79#10623050—21no—
80#10623010C2211yescharacteristic
81C2×C4×D44C2211yescharacteristic
82C2×#66922C2211yescharacteristic, complemented
83C11×#479C2211yescharacteristic, complemented
84C11×#479C2211yescharacteristic, complemented
85C11×#478C2211yescharacteristic, complemented
86C11×#478C2211yescharacteristic, complemented
87C11×#467C2211yescharacteristic, complemented
88C11×#466C2211yescharacteristic
89C11×#465C2211yescharacteristic
90C11×#465C2211yescharacteristic, complemented
91C11×#464C2211yescharacteristic, complemented
92C11×#464C2211yescharacteristic, complemented
93C11×#463C2211yescharacteristic, complemented
94C11×#463C2211yescharacteristic, complemented
95C2×C11×C4⋊C8C2211yescharacteristic, complemented
96#10622803C2211yescharacteristic, complemented
97#10622799C2211yescharacteristic, complemented
98#10622795C2211yescharacteristic, complemented
99#10622788C2211yescharacteristic
100#10622786C2211yescharacteristic, complemented
101#10622783C2211yescharacteristic, complemented
102#10622781C2211yescharacteristic, complemented
103#10622779C2211yescharacteristic, complemented
104#10622775C2211yescharacteristic, complemented
105#10622771C2211yescharacteristic, complemented
106#10622767C2211yescharacteristic
107#10622766C2211yescharacteristic, complemented
108#10622724C2211yescharacteristic
109#10622724C2211yescharacteristic, complemented
110C8×C22⋊D11C2211yescharacteristic
111C8×C22⋊D11C2211yescharacteristic, complemented
112C2×#66880C2211yescharacteristic, complemented
113C2×#66880C2211yescharacteristic, complemented
114#10622682C2211yescharacteristic, complemented
115#10622682C2211yescharacteristic, complemented
116#10622679C2211yescharacteristic
117#10622679C2211yescharacteristic, complemented
118#10622673C2211yescharacteristic, complemented
119#10622673C2211yescharacteristic, complemented
120#10622670C2211yescharacteristic
121#10622670C2211yescharacteristic, complemented
122#10622663C2211yescharacteristic, complemented
123#10622663C2211yescharacteristic, complemented
124#10622659C2211yescharacteristic
125#10622656C2211yescharacteristic, complemented
126#10622653C2211yescharacteristic
127#10622653C2211yescharacteristic
128#10622649C2211yescharacteristic
129#10622646C2211yescharacteristic, complemented
130#10622644C2211yescharacteristic, complemented
131#10622644C2211yescharacteristic, complemented
132#10622639C2211yescharacteristic
133#10622639C2211yescharacteristic, complemented
134#10622632C2211yescharacteristic, complemented
135#10622632C2211yescharacteristic, complemented
136#10622627C2211yescharacteristic
137#10622627C2211yescharacteristic, complemented
138#10622539C2211yescharacteristic, complemented
139#10622502C2211yescharacteristic
140#10622502C2211yescharacteristic
141#10622501C2211yescharacteristic, complemented
142#10622499C2211yescharacteristic
143#10622499C2211yescharacteristic, complemented
144#10622497C2211yescharacteristic, complemented
145#10622490C2211yescharacteristic, complemented
146#10622488C2211yescharacteristic, complemented
147#10622480C2211yescharacteristic, complemented
148#10622477C2211yescharacteristic
149#10622477C2211yescharacteristic, complemented
150#10622475C2211yescharacteristic, complemented
151#10622470C2211yescharacteristic, complemented
152#10622467C2211yescharacteristic, complemented
153#10622465C2211yescharacteristic
154#10622465C2211yescharacteristic
155#10622454C2211yescharacteristic
156#10622454C2211yescharacteristic
157#10622454C2211yescharacteristic
158#10622454C2211yescharacteristic
159#10622454C2211yescharacteristic, complemented
160#10622454C2211yescharacteristic, complemented
161#10622454C2211yescharacteristic, complemented
162#10622454C2211yescharacteristic, complemented
163#10622453C2211yescharacteristic, complemented
164#10622453C2211yescharacteristic, complemented
165#10622452C2211yescharacteristic, complemented
166#10622452C2211yescharacteristic, complemented
167#10622449C2211yescharacteristic, complemented
168#10622449C2211yescharacteristic, complemented
169#10622441C2211yescharacteristic, complemented
170#10622441C2211yescharacteristic, complemented
171#10622431C2211yescharacteristic
172#10622431C2211yescharacteristic
173#10622429C2211yescharacteristic, complemented
174#10622426C2211yescharacteristic, complemented
175#10622423C2211yescharacteristic
176#10622423C2211yescharacteristic
177#10622419C2211yescharacteristic
178#10622419C2211yescharacteristic, complemented
179#10622415C2211yescharacteristic, complemented
180D11×#103C2211yescharacteristic, complemented
181#10622411C2211yescharacteristic, complemented
182#10622411C2211yescharacteristic, complemented
183#10622410C2211yescharacteristic, complemented
184#10622405C2211yescharacteristic, complemented
185#10622403C2211yescharacteristic, complemented
186#10622402C2211yescharacteristic, complemented
187#10622400C2211yescharacteristic
188#10622400C2211yescharacteristic
189#10622394C2211yescharacteristic
190#10622394C2211yescharacteristic, complemented
191#10622393C2211yescharacteristic, complemented
192#10622391C2211yescharacteristic, complemented
193#10622389C2211yescharacteristic
194#10622389C2211yescharacteristic
195#10622385C2211yescharacteristic, complemented
196#10622384C2211yescharacteristic, complemented
197#10622381C2211yescharacteristic, complemented
198#10622378C2211yescharacteristic, complemented
199#10622375C2211yescharacteristic
200#10622375C2211yescharacteristic
201#10622371C2211yescharacteristic, complemented
202#10622370C2211yescharacteristic, complemented
203C2×#4343C2311yescharacteristic
204C2×Q8×D11C2311yescharacteristic
205C2×Q8×D11C2311yescharacteristic
206C2×#4341—21no—
207C2×#4341C2311yescharacteristic
208C2×#4341C2311yescharacteristic
209C2×D4×D11—21no—
210C2×D4×D11C2311yescharacteristic
211C22×D44C2311yescharacteristic
212C22×C4×D11—21no—
213C22×Dic22C2311yescharacteristic
214C22×Dic22C2311yescharacteristic
215C2×C11×Q16C2311yescharacteristic
216C2×C11×SD16C2311yescharacteristic
217C2×C11×SD16C2311yescharacteristic
218C2×C11×D8C2311yescharacteristic
219C22×C8×C11C2311yescharacteristic
220C22×C8×C11C2311yescharacteristic
221C11×#126—21no—
222C11×#126—21no—
223C11×#125C2311yescharacteristic
224C11×#125C2311yescharacteristic
225C11×#124C2311yescharacteristic
226C11×#124C2311yescharacteristic
227C11×#123—21no—
228C11×#123—21no—
229C11×C22⋊Q8C2311yescharacteristic
230C11×C22⋊Q8C2311yescharacteristic
231C11×#121C2311yescharacteristic
232C11×#121C2311yescharacteristic
233C4×Q8×C11C2311yescharacteristic
234C4×Q8×C11C2311yescharacteristic
235C4×D4×C11—21no—
236C4×D4×C11—21no—
237C4×D4×C11C2311yescharacteristic
238C4×D4×C11C2311yescharacteristic
239C11×#117—21no—
240C11×#117—21no—
241C2×C42×C11C2311yescharacteristic
242#67000C2311yescharacteristic
243#66999C2311yescharacteristic
244Q8×Dic11C2311yescharacteristic
245#66997C2311yescharacteristic
246#66997C2311yescharacteristic
247C2×#4326C2311yescharacteristic
248C2×#4326C2311yescharacteristic
249C2×#4326C2311yescharacteristic
250C2×#4326C2311yescharacteristic
251C2×#4325C2311yescharacteristic
252C2×#4325C2311yescharacteristic
253#66993C2311yescharacteristic
254#66992—21no—
255#66992—21no—
256#66991C2311yescharacteristic
257#66990—21no—
258#66989C2311yescharacteristic
259#66989C2311yescharacteristic
260#66988—21no—
261D4×Dic11—21no—
262D4×Dic11—21no—
263D4×Dic11C2311yescharacteristic
264C2×#4324C2311yescharacteristic
265C2×#4324C2311yescharacteristic
266C2×#4324C2311yescharacteristic
267C2×#4324C2311yescharacteristic
268C2×#4323C2311yescharacteristic
269C2×#4323C2311yescharacteristic
270#66983—21no—
271#66983—21no—
272#66983D411yescharacteristic
273#66982—21no—
274#66982D411yescharacteristic
275#66982D411yescharacteristic
276C4×C22⋊D11—21no—
277C4×C22⋊D11C2311yescharacteristic
278C4×C22⋊D11C2311yescharacteristic
279C2×(C2×D11)⋊C4—21no—
280C2×(C2×D11)⋊C4—21no—
281#66979—21no—
282C2×C4⋊Dic11—21no—
283C2×C4⋊Dic11—21no—
284C2×C4⋊Dic11—21no—
285C2×C4⋊Dic11C2311yescharacteristic
286#66977—21no—
287#66977D411yescharacteristic
288#66971—42no—
289#66969—42no—
290SD16×D11—42no—
291#66964—42no—
292C2×#4314—42no—
293C2×#4314—42no—
294C2×#4314C2311yescharacteristic
295C2×#4314C2311yescharacteristic
296C2×#4314C2311yescharacteristic
297C2×#4314C2311yescharacteristic
298C2×#4314C2311yescharacteristic
299C2×#4314C2311yescharacteristic
300C2×#4314C2311yescharacteristic
301C2×#4314C2311yescharacteristic
302C2×#4313C2311yescharacteristic
303C2×#4313C2311yescharacteristic
304C2×C8×D11C2311yescharacteristic
305C2×C8×D11C2311yescharacteristic
306#66951—21no—
307#66951—21no—
308#66951—21no—
309#66951—21no—
310#66951—21no—
311#66951—21no—
312#66950—21no—
313#66950—21no—
314#66950—21no—
315#66950C2311yescharacteristic
316#66950C2311yescharacteristic
317#66950C2311yescharacteristic
318#66950C2311yescharacteristic
319#66949—21no—
320#66949—21no—
321#66949—21no—
322#66949—21no—
323#66949—21no—
324#66948—21no—
325#66948—21no—
326#66948C2311yescharacteristic
327#66948C2311yescharacteristic
328#66947—21no—
329#66947—21no—
330#66947—21no—
331#66946—21no—
332#66946—21no—
333#66946C2311yescharacteristic
334#66946C2311yescharacteristic
335#66945C2311yescharacteristic
336C4⋊C4×D11—21no—
337C4⋊C4×D11—21no—
338C4⋊C4×D11C2311yescharacteristic
339#66943—21no—
340#66943—21no—
341#66943—21no—
342#66943—21no—
343#66943—21no—
344#66943C2311yescharacteristic
345#66942—21no—
346#66942—21no—
347#66941—21no—
348#66941—21no—
349#66941C2311yescharacteristic
350#66940C2311yescharacteristic
351#66940C2311yescharacteristic
352#66940C2311yescharacteristic
353#66940C2311yescharacteristic
354#66939—21no—
355#66939—21no—
356#66939—21no—
357#66939—21no—
358#66938—21no—
359#66938—21no—
360#66938—21no—
361#66937—21no—
362#66937—21no—
363#66937—21no—
364#66936—21no—
365#66936—21no—
366#66936—21no—
367#66936—21no—
368#66936—21no—
369#66936—21no—
370#66936—21no—
371#66936—21no—
372#66935—21no—
373#66935—21no—
374#66935—21no—
375(C22⋊D11)⋊C4—21no—
376(C22⋊D11)⋊C4—21no—
377(C22⋊D11)⋊C4—21no—
378(C22⋊D11)⋊C4—21no—
379C22⋊C4×D11—21no—
380C22⋊C4×D11—21no—
381C22⋊C4×D11—21no—
382#66932—21no—
383#66932—21no—
384#66931—21no—
385#66931—21no—
386#66931—21no—
387#66931—21no—
388#66931—21no—
389#66931—21no—
390#66931—21no—
391#66931—21no—
392#66931—21no—
393#66930—21no—
394#66929—21no—
395#66929D411yescharacteristic
396#66929D411yescharacteristic
397#66928—21no—
398#66928D411yescharacteristic
399C4×D44—21no—
400C4×D44—21no—
401C4×D44—21no—
402C4×D44—21no—
403C4×D44C2311yescharacteristic
404C4×D44C2311yescharacteristic
405C4×D44C2311yescharacteristic
406C4×D44C2311yescharacteristic
407C4×D44C2311yescharacteristic
408#66925—21no—
409#66925C2311yescharacteristic
410#66925C2311yescharacteristic
411#66923—21no—
412#66923D411yescharacteristic
413#66922—21no—
414#66922—21no—
415#66922—21no—
416#66922C2311yescharacteristic
417#66922C2311yescharacteristic
418#66922C2311yescharacteristic
419#66922C2311yescharacteristic
420C4×Dic22—21no—
421C4×Dic22C2311yescharacteristic
422C11×#107C2311yescharacteristic
423C11×#107C2311yescharacteristic
424C11×#106C2311yescharacteristic
425C11×#106C2311yescharacteristic
426C11×C4⋊C8C2311yescharacteristic
427C11×C4⋊C8C2311yescharacteristic
428C11×C4⋊C8C2311yescharacteristic
429C11×C4⋊C8C2311yescharacteristic
430C11×#103C2311yescharacteristic
431C11×#103C2311yescharacteristic
432C11×#103C2311yescharacteristic
433C11×#103C2311yescharacteristic
434C11×#102C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438#66899C2311yescharacteristic
439#66899C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442C22⋊(C11⋊C8)C2311yescharacteristic
443C22⋊(C11⋊C8)C2311yescharacteristic
444(C2×D11)⋊C8C2311yescharacteristic
445(C2×D11)⋊C8C2311yescharacteristic
446(C2×D11)⋊C8C2311yescharacteristic
447(C2×D11)⋊C8C2311yescharacteristic
448#66880C2311yescharacteristic
449#66880C2311yescharacteristic
450#66880C2311yescharacteristic
451#66880C2311yescharacteristic
452#66880C2311yescharacteristic
453#66880C2311yescharacteristic
454#66880C2311yescharacteristic
455#66880C2311yescharacteristic
456#66879C2311yescharacteristic
457#66879C2311yescharacteristic
458Dic11⋊C8C2311yescharacteristic
459Dic11⋊C8C2311yescharacteristic
460Dic11⋊C8C2311yescharacteristic
461Dic11⋊C8C2311yescharacteristic
462C8×Dic11C2311yescharacteristic
463C8×Dic11C2311yescharacteristic
464#66874C2311yescharacteristic
465#66874C2311yescharacteristic
466#66874C2311yescharacteristic
467#66874C2311yescharacteristic
468#66874C2311yescharacteristic
469#66874C2311yescharacteristic
470#66874C2311yescharacteristic
471#66874C2311yescharacteristic
472#66873C2311yescharacteristic
473#66873C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66872C2311yescharacteristic
477#66872C2311yescharacteristic
478#66871C2311yescharacteristic
479#66871C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481C4⋊(C11⋊C8)C2311yescharacteristic
482#66867C2311yescharacteristic
483#66867C2311yescharacteristic
484#62008—111nomaximal, Sylow
485C23×D11—21no—
486C23×D11—21no—
487C2×Q8×C11C2411yescharacteristic
488C2×Q8×C11C2411yescharacteristic
489C2×D4×C11—21no—
490C2×D4×C11—21no—
491C2×D4×C11C2411yescharacteristic
492C2×D4×C11C2411yescharacteristic
493C22×C4×C11—21no—
494C22×C4×C11—21no—
495C22×C4×C11C2×D411yescharacteristic
496C22×C4×C11C2×D411yescharacteristic
497C22×C4×C11C2411yescharacteristic
498C2×C22⋊D11—21no—
499C2×C22⋊D11—21no—
500C2×C22⋊D11—21no—
501C2×C22⋊D11—21no—
502C2×C22⋊D11—21no—
503C2×C22⋊D11—21no—
504C2×C22⋊D11C2×D411yescharacteristic
505C2×C22⋊D11C2×D411yescharacteristic
506C22×Dic11—21no—
507C22×Dic11—21no—
508C22×Dic11—21no—
509C22×Dic11—21no—
510C22×Dic11—21no—
511C22×Dic11—21no—
512#4343—22no—
513#4343—41no—
514Q8×D11—41no—
515Q8×D11—41no—
516Q8×D11—41no—
517Q8×D11—41no—
518#4341—41no—
519#4341—41no—
520#4341—41no—
521#4341—41no—
522#4341—82no—
523D4×D11—22no—
524D4×D11—41no—
525D4×D11—82no—
526C2×D44—21no—
527C2×D44—21no—
528C2×D44—21no—
529C2×D44—22no—
530C2×D44—21no—
531C2×D44—41no—
532C2×D44C2×D411yescharacteristic
533C2×D44C2411yescharacteristic
534C2×D44C2411yescharacteristic
535C2×C4×D11—21no—
536C2×C4×D11—21no—
537C2×C4×D11—21no—
538C2×C4×D11—21no—
539C2×C4×D11—21no—
540C2×C4×D11—21no—
541C2×C4×D11—21no—
542C2×C4×D11—21no—
543C2×C4×D11—21no—
544C2×C4×D11—21no—
545C2×C4×D11—82no—
546C2×C4×D11C2411yescharacteristic
547C2×C4×D11C2411yescharacteristic
548C2×Dic22—21no—
549C2×Dic22—21no—
550C2×Dic22—21no—
551C2×Dic22—21no—
552C2×Dic22—21no—
553C2×Dic22—41no—
554C2×Dic22—41no—
555C2×Dic22—41no—
556C2×Dic22—41no—
557C2×Dic22C2×D411yescharacteristic
558C2×Dic22C2411yescharacteristic
559C2×Dic22C2411yescharacteristic
560C2×Dic22C2411yescharacteristic
561C2×Dic22C2411yescharacteristic
562C11×Q16—41no—
563C11×SD16—41no—
564C11×SD16—41no—
565C11×D8—41no—
566C2×C8×C11—41no—
567C2×C8×C11—41no—
568C2×C8×C11C2411yescharacteristic
569C2×C8×C11C2411yescharacteristic
570C2×C8×C11C2411yescharacteristic
571C2×C8×C11C2411yescharacteristic
572C11×C4⋊C4—21no—
573C11×C4⋊C4—21no—
574C11×C4⋊C4—21no—
575C11×C4⋊C4—21no—
576C11×C4⋊C4—21no—
577C11×C4⋊C4—21no—
578C11×C4⋊C4—21no—
579C11×C4⋊C4—21no—
580C11×C4⋊C4C2411yescharacteristic
581C11×C4⋊C4C2411yescharacteristic
582C11×C4⋊C4C2411yescharacteristic
583C11×C4⋊C4C2411yescharacteristic
584C11×C22⋊C4—21no—
585C11×C22⋊C4—21no—
586C11×C22⋊C4—21no—
587C11×C22⋊C4—21no—
588C11×C22⋊C4—21no—
589C11×C22⋊C4—21no—
590C11×C22⋊C4—21no—
591C11×C22⋊C4—21no—
592C11×C22⋊C4—21no—
593C11×C22⋊C4—21no—
594C42×C11—21no—
595C42×C11—21no—
596C42×C11C2×D411yescharacteristic
597C42×C11C2×D411yescharacteristic
598C42×C11C2411yescharacteristic
599C42×C11C2411yescharacteristic
600C22⋊Dic11—21no—
601C22⋊Dic11—21no—
602C22⋊Dic11—21no—
603C22⋊Dic11—21no—
604C22⋊Dic11—21no—
605C22⋊Dic11—21no—
606C22⋊Dic11C2×D411yescharacteristic
607C22⋊Dic11C2×D411yescharacteristic
608#4326—41no—
609#4326—41no—
610#4326—41no—
611#4326—41no—
612#4325—22no—
613#4325—41no—
614#4324—41no—
615#4324—41no—
616#4324—41no—
617#4324—41no—
618#4323—22no—
619#4323—41no—
620(C2×D11)⋊C4—21no—
621(C2×D11)⋊C4—21no—
622(C2×D11)⋊C4—21no—
623(C2×D11)⋊C4—21no—
624(C2×D11)⋊C4—21no—
625(C2×D11)⋊C4—21no—
626(C2×D11)⋊C4—21no—
627(C2×D11)⋊C4—21no—
628(C2×D11)⋊C4—21no—
629(C2×D11)⋊C4—21no—
630(C2×D11)⋊C4—21no—
631(C2×D11)⋊C4—21no—
632(C2×D11)⋊C4—21no—
633(C2×D11)⋊C4—21no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4—21no—
636(C2×D11)⋊C4C2×D411yescharacteristic
637(C2×D11)⋊C4C2×D411yescharacteristic
638(C2×D11)⋊C4C2×D411yescharacteristic
639(C2×D11)⋊C4C2×D411yescharacteristic
640(C2×D11)⋊C4C2×D411yescharacteristic
641(C2×D11)⋊C4C2×D411yescharacteristic
642(C2×D11)⋊C4C2×D411yescharacteristic
643(C2×D11)⋊C4C2×D411yescharacteristic
644C4⋊Dic11—21no—
645C4⋊Dic11—21no—
646C4⋊Dic11—21no—
647C4⋊Dic11—21no—
648C4⋊Dic11—21no—
649C4⋊Dic11—21no—
650C4⋊Dic11—21no—
651C4⋊Dic11—21no—
652C4⋊Dic11—21no—
653C4⋊Dic11—21no—
654C4⋊Dic11—21no—
655C4⋊Dic11—21no—
656C4⋊Dic11—21no—
657C4⋊Dic11—21no—
658C4⋊Dic11—21no—
659C4⋊Dic11C2×D411yescharacteristic
660C4⋊Dic11C2×D411yescharacteristic
661C4⋊Dic11C2411yescharacteristic
662C4⋊Dic11C2411yescharacteristic
663Dic11⋊C4—21no—
664Dic11⋊C4—21no—
665Dic11⋊C4—21no—
666Dic11⋊C4—21no—
667Dic11⋊C4—21no—
668Dic11⋊C4—21no—
669Dic11⋊C4—21no—
670Dic11⋊C4—21no—
671Dic11⋊C4—21no—
672Dic11⋊C4—21no—
673Dic11⋊C4—21no—
674Dic11⋊C4—21no—
675Dic11⋊C4C2×D411yescharacteristic
676Dic11⋊C4C2×D411yescharacteristic
677Dic11⋊C4C2×D411yescharacteristic
678Dic11⋊C4C2×D411yescharacteristic
679Dic11⋊C4C2×D411yescharacteristic
680Dic11⋊C4C2×D411yescharacteristic
681Dic11⋊C4C2×D411yescharacteristic
682Dic11⋊C4C2×D411yescharacteristic
683C4×Dic11—21no—
684C4×Dic11—21no—
685C4×Dic11—21no—
686C4×Dic11—21no—
687C4×Dic11—21no—
688C4×Dic11—21no—
689C4×Dic11C2411yescharacteristic
690C4×Dic11C2411yescharacteristic
691C2×C11⋊C8C2411yescharacteristic
692C2×C11⋊C8C2411yescharacteristic
693C2×C11⋊C8C2411yescharacteristic
694C2×C11⋊C8C2411yescharacteristic
695#4314—22no—
696#4314—22no—
697#4314—22no—
698#4314—22no—
699#4314—41no—
700#4314—41no—
701#4314—41no—
702#4314—41no—
703#4313—41no—
704#4313—41no—
705C8×D11—41no—
706C8×D11—41no—
707#3552—111no—
708#3513—111no—
709#3401—111no—
710#3400—111no—
711#3376—111no—
712#3372—111no—
713#3320—111no—
714#3312—111no—
715#3308—111no—
716#3307—111no—
717#3300—111no—
718#3298—111no—
719#3282—111no—
720D4×SD16—111no—
721#3267—111no—
722#3266—111no—
723#3266—111no—
724#3265—111no—
725#3260—111no—
726#3258—111no—
727#3250D1111yescharacteristic, complemented
728#3225—111no—
729#3221—111no—
730#3218—111no—
731#3123—111no—
732#3120—111no—
733#3114—111no—
734#3046—111no—
735#3042—111no—
736C2×#461—111no—
737#2992—111no—
738C23×C11—21no—
739C23×C11—21no—
740C23×C11C22×D411yescharacteristic
741C22×D11—21no—
742C22×D11—21no—
743C22×D11—42no—
744C22×D11—42no—
745C22×D11—42no—
746C22×D11—81no—
747C22×D11—81no—
748C22×D11—81no—
749C22×D11C22×D411yescharacteristic
750C22×D11C22×D411yescharacteristic
751Q8×C11—21no—
752Q8×C11—21no—
753Q8×C11—21no—
754Q8×C11—21no—
755D4×C11—21no—
756D4×C11—21no—
757D4×C11—21no—
758D4×C11—21no—
759D4×C11—42no—
760D4×C11—42no—
761C2×C4×C11—22no—
762C2×C4×C11—21no—
763C2×C4×C11—21no—
764C2×C4×C11—21no—
765C2×C4×C11—21no—
766C2×C4×C11—21no—
767C2×C4×C11—21no—
768C2×C4×C11—21no—
769C2×C4×C11—21no—
770C2×C4×C11—41no—
771C2×C4×C11—42no—
772C2×C4×C11—81no—
773C2×C4×C11C22×D411yescharacteristic
774C2×C4×C11C22×D411yescharacteristic
775C2×C4×C11C22×D411yescharacteristic
776C2×C4×C11C22×D411yescharacteristic
777C2×C4×C11C22×D411yescharacteristic
778C2×C4×C11C2511yescharacteristic
779C22⋊D11—22no—
780C22⋊D11—22no—
781C22⋊D11—42no—
782C22⋊D11—81no—
783C22⋊D11—81no—
784C22⋊D11—81no—
785C22⋊D11—81no—
786C22⋊D11—81no—
787C2×Dic11—21no—
788C2×Dic11—21no—
789C2×Dic11—21no—
790C2×Dic11—21no—
791C2×Dic11—21no—
792C2×Dic11—21no—
793C2×Dic11—42no—
794C2×Dic11—81no—
795C2×Dic11—81no—
796C2×Dic11—81no—
797C2×Dic11—81no—
798C2×Dic11—81no—
799C2×Dic11C22×D411yescharacteristic
800C2×Dic11C22×D411yescharacteristic
801C2×Dic11C22×D411yescharacteristic
802C2×Dic11C22×D411yescharacteristic
803C2×Dic11C22×D411yescharacteristic
804C2×Dic11C22×D411yescharacteristic
805D44—21no—
806D44—21no—
807D44—21no—
808D44—41no—
809D44—42no—
810D44—42no—
811D44—81no—
812D44—81no—
813D44H(5,𝔽2)12yes—
814C4×D11—21no—
815C4×D11—21no—
816C4×D11—21no—
817C4×D11—21no—
818C4×D11—42no—
819C4×D11—81no—
820C4×D11—81no—
821C4×D11—81no—
822C4×D11—81no—
823C4×D11—81no—
824C4×D11—81no—
825C4×D11—81no—
826C4×D11—81no—
827C4×D11—81no—
828Dic22—21no—
829Dic22—21no—
830Dic22—21no—
831Dic22—21no—
832Dic22—21no—
833Dic22—21no—
834Dic22—21no—
835Dic22—21no—
836Dic22—41no—
837Dic22—81no—
838Dic22—81no—
839Dic22—81no—
840Dic22—81no—
841Dic22—81no—
842C8×C11—21no—
843C8×C11—21no—
844C8×C11—21no—
845C8×C11—21no—
846C11⋊C8—21no—
847C11⋊C8—21no—
848C11⋊C8—21no—
849C11⋊C8—21no—
850C2×#137—111no—
851C2×AGL(1,ℤ/8)—111no—
852C2×#135—111no—
853C22×SD16—111no—
854C22×SD16—111no—
855C22×SD16—111no—
856#563—221no—
857#563—221no—
858#559—111no—
859#557—111no—
860#556—111no—
861#554—111no—
862#554—221no—
863#553—111no—
864#553—221no—
865#553—221no—
866#552—111no—
867#551—221no—
868#551—221no—
869D4×Q8—111no—
870D4×Q8—111no—
871D4×Q8—111no—
872#548—111no—
873#548—111no—
874#547—111no—
875#547—111no—
876#546—111no—
877#546—111no—
878#546—221no—
879D42—111no—
880#544—221no—
881#542—111no—
882#542—221no—
883#541—111no—
884#541—111no—
885#540—111no—
886#539—221no—
887#539—221no—
888#539—221no—
889#538—221no—
890#536—111no—
891#536—111no—
892C2×C4⋊Q8—111no—
893#529—111no—
894#529C2×D1111yescharacteristic
895#529C2×D1111yescharacteristic, complemented
896#525—221no—
897C2×#123—221no—
898#520—111no—
899#518—111no—
900C2×C4×D4—111no—
901#497—111no—
902#497—111no—
903#497—111no—
904#496—111no—
905#495—111no—
906#492—111no—
907#491—111no—
908#491—111no—
909#491—111no—
910#489—111no—
911#488—111no—
912#487—111no—
913#485—111no—
914#485—111no—
915#484—111no—
916#483—111no—
917#483—111no—
918#480—111no—
919#479—111no—
920#479—111no—
921#479C2×D1111yescharacteristic, complemented
922#479C2×D1111yescharacteristic, complemented
923#478—111no—
924#478—111no—
925#478C2×D1111yescharacteristic, complemented
926#478C2×D1111yescharacteristic, complemented
927#477—111no—
928#475—111no—
929#470—111no—
930#468—111no—
931#468—111no—
932#468—111no—
933#467—111no—
934#467C2×D1111yescharacteristic, complemented
935#466C2×D1111yescharacteristic
936#465—111no—
937#465—111no—
938#465—111no—
939#465C2×D1111yescharacteristic
940#465C2×D1111yescharacteristic, complemented
941#464—111no—
942#464—111no—
943#464—111no—
944#464C2×D1111yescharacteristic, complemented
945#464C2×D1111yescharacteristic, complemented
946#463—111no—
947#463—111no—
948#463—111no—
949#463—111no—
950#463—111no—
951#463C2×D1111yescharacteristic, complemented
952#463C2×D1111yescharacteristic, complemented
953#462—111no—
954#462—111no—
955#462—111no—
956#461—111no—
957#461—111no—
958#461—111no—
959#461—111no—
960#461—111no—
961#461—111no—
962#461—111no—
963#461—111no—
964#461—111no—
965#461—111no—
966#461—111no—
967#461—111no—
968#461—111no—
969#460—111no—
970#460—111no—
971#452—111no—
972#452—111no—
973#452—111no—
974#451—111no—
975#451—111no—
976#451—111no—
977#450—111no—
978#450—111no—
979#450—111no—
980#449—111no—
981#449—111no—
982#449—111no—
983#448—111no—
984#448—111no—
985#448—111no—
986#448—111no—
987#448—111no—
988#447—111no—
989#446—111no—
990#446—111no—
991#442—111no—
992#442—111no—
993#441—111no—
994#440—111no—
995#440—111no—
996#440—111no—
997#440—111no—
998#440—111no—
999C4×Q16—111no—
1000C4×SD16—111no—
1001C4×SD16—111no—
1002C4×SD16—111no—
1003#435—111no—
1004#435—111no—
1005#435—111no—
1006#435—111no—
1007C8×D4—111no—
1008C8×D4—111no—
1009#433—111no—
1010#433—111no—
1011#432—111no—
1012#424—111no—
1013#424—111no—
1014C2×C4⋊C8C2×D1111yescharacteristic, complemented
1015#419—111no—
1016#417—111no—
1017#416—111no—
1018C2×#103—111no—
1019C2×#103—111no—
1020C2×#103—111no—
1021C22×C11—21no—
1022C22×C11—21no—
1023C22×C11—41no—
1024C22×C11—41no—
1025C22×C11—41no—
1026C22×C11—41no—
1027C22×C11—41no—
1028C22×C11—41no—
1029C22×C11#57712yes—
1030C22×C11C23×D411yescharacteristic
1031C2×D11—21no—
1032C2×D11—21no—
1033C2×D11—22no—
1034C2×D11—21no—
1035C2×D11—21no—
1036C2×D11—21no—
1037C2×D11—21no—
1038C2×D11—41no—
1039C2×D11—41no—
1040C2×D11—41no—
1041C2×D11—41no—
1042C2×D11—41no—
1043C2×D11—84no—
1044C2×D11—162no—
1045C4×C11—21no—
1046C4×C11—21no—
1047C4×C11—21no—
1048C4×C11—21no—
1049C4×C11—21no—
1050C4×C11—41no—
1051C4×C11—41no—
1052C4×C11—41no—
1053C4×C11—41no—
1054C4×C11—41no—
1055C4×C11—41no—
1056C4×C11C2×H(5,𝔽2)11yescharacteristic
1057C4×C11#58511yescharacteristic
1058Dic11—21no—
1059Dic11—21no—
1060Dic11—21no—
1061Dic11—21no—
1062Dic11—21no—
1063Dic11—21no—
1064Dic11—41no—
1065Dic11—41no—
1066Dic11—41no—
1067Dic11—41no—
1068Dic11—41no—
1069Dic11—41no—
1070C2×#41—111no—
1071C2×#41—111no—
1072C2×#41—111no—
1073C2×#41—221no—
1074C22×Q8—111no—
1075C22×Q8—111no—
1076C22×Q8—111no—
1077C22×Q8—111no—
1078C22×D4—111no—
1079C22×D4—111no—
1080C22×D4—221no—
1081C23×C4—221no—
1082#137—442no—
1083AGL(1,ℤ/8)—442no—
1084#135—442no—
1085C2×Q16—111no—
1086C2×Q16—111no—
1087C2×Q16—111no—
1088C2×Q16—111no—
1089C2×Q16C22×D1111yescharacteristic
1090C2×SD16—111no—
1091C2×SD16—111no—
1092C2×SD16—111no—
1093C2×SD16—111no—
1094C2×SD16—111no—
1095C2×SD16—111no—
1096C2×SD16—111no—
1097C2×SD16—111no—
1098C2×SD16—111no—
1099C2×SD16—111no—
1100C2×SD16—111no—
1101C2×SD16—111no—
1102C2×SD16—111no—
1103C2×SD16—111no—
1104C2×SD16—442no—
1105C2×SD16—442no—
1106C2×SD16—442no—
1107C2×SD16C22×D1111yescharacteristic
1108C2×SD16C22×D1111yescharacteristic
1109C2×D8—111no—
1110C2×D8—111no—
1111C2×D8C22×D1111yescharacteristic
1112C2×M16—111no—
1113C2×M16—111no—
1114C22×C8—111no—
1115C22×C8—111no—
1116C22×C8C22×D1111yescharacteristic
1117C22×C8C22×D1111yescharacteristic
1118C4⋊Q8—111no—
1119C4⋊Q8—111no—
1120C4⋊Q8—111no—
1121C4⋊Q8—111no—
1122C4⋊Q8—111no—
1123C4⋊Q8—111no—
1124C4⋊Q8—111no—
1125C4⋊Q8—221no—
1126C4⋊Q8—221no—
1127C4⋊Q8—221no—
1128C4⋊Q8—221no—
1129C4⋊Q8—221no—
1130#127—111no—
1131#126—21no—
1132#126—21no—
1133#126—111no—
1134#126—111no—
1135#126—221no—
1136#126—221no—
1137#126—221no—
1138#126—221no—
1139#126—221no—
1140#126—221no—
1141#126—221no—
1142#126—221no—
1143#126—221no—
1144#125—111no—
1145#125—111no—
1146#125—221no—
1147#125—221no—
1148#125—221no—
1149#125—221no—
1150#125—221no—
1151#125—221no—
1152#125—221no—
1153#125—221no—
1154#125C22×D1111yescharacteristic
1155#125C22×D1111yescharacteristic
1156#124—111no—
1157#124—111no—
1158#124—111no—
1159#124—111no—
1160#124—221no—
1161#124—221no—
1162#124—221no—
1163#124—221no—
1164#124C22×D1111yescharacteristic
1165#124C22×D1111yescharacteristic
1166#123—21no—
1167#123—21no—
1168#123—111no—
1169#123—111no—
1170#123—221no—
1171#123—221no—
1172#123—221no—
1173#123—221no—
1174#123—221no—
1175#123—221no—
1176#123—221no—
1177#123—221no—
1178#123—221no—
1179#123—221no—
1180#123—221no—
1181#123—221no—
1182#123—221no—
1183#123—221no—
1184#123—221no—
1185#123—221no—
1186#123—221no—
1187C22⋊Q8—111no—
1188C22⋊Q8—111no—
1189C22⋊Q8—111no—
1190C22⋊Q8—111no—
1191C22⋊Q8—111no—
1192C22⋊Q8—111no—
1193C22⋊Q8—221no—
1194C22⋊Q8—221no—
1195C22⋊Q8—221no—
1196C22⋊Q8—221no—
1197C22⋊Q8—221no—
1198C22⋊Q8—221no—
1199C22⋊Q8—221no—
1200C22⋊Q8—221no—
1201C22⋊Q8—221no—
1202C22⋊Q8—221no—
1203C22⋊Q8—221no—
1204C22⋊Q8—221no—
1205C22⋊Q8—221no—
1206C22⋊Q8—221no—
1207C22⋊Q8—221no—
1208C22⋊Q8—221no—
1209C22⋊Q8—221no—
1210C22⋊Q8—221no—
1211C22⋊Q8C22×D1111yescharacteristic
1212C22⋊Q8C22×D1111yescharacteristic
1213#121—111no—
1214#121—111no—
1215#121—111no—
1216#121—111no—
1217#121—221no—
1218#121—221no—
1219#121—221no—
1220#121—221no—
1221#121—221no—
1222#121—221no—
1223#121—221no—
1224#121—221no—
1225#121—221no—
1226#121C22×D1111yescharacteristic
1227#121C22×D1111yescharacteristic
1228#120—221no—
1229#120—221no—
1230#120—221no—
1231#120—221no—
1232C4×Q8—111no—
1233C4×Q8—111no—
1234C4×Q8—111no—
1235C4×Q8—111no—
1236C4×Q8—111no—
1237C4×Q8—111no—
1238C4×Q8—221no—
1239C4×Q8C22×D1111yescharacteristic
1240C4×Q8C22×D1111yescharacteristic
1241C4×D4—21no—
1242C4×D4—21no—
1243C4×D4—111no—
1244C4×D4—111no—
1245C4×D4—111no—
1246C4×D4—111no—
1247C4×D4—111no—
1248C4×D4—111no—
1249C4×D4—111no—
1250C4×D4—111no—
1251C4×D4—111no—
1252C4×D4—111no—
1253C4×D4—221no—
1254C4×D4—221no—
1255C4×D4—221no—
1256C4×D4—221no—
1257C4×D4—221no—
1258C4×D4—221no—
1259C4×D4—221no—
1260C4×D4—221no—
1261C4×D4—221no—
1262C4×D4—221no—
1263C4×D4—221no—
1264C4×D4—221no—
1265C4×D4—221no—
1266C4×D4C22×D1111yescharacteristic
1267C4×D4C22×D1111yescharacteristic
1268#117—21no—
1269#117—21no—
1270#117—111no—
1271#117—111no—
1272#117—111no—
1273#117—221no—
1274#117—221no—
1275#117—221no—
1276C2×C4⋊C4—111no—
1277C2×C4⋊C4—111no—
1278C2×C4⋊C4—221no—
1279C2×C4⋊C4—221no—
1280C2×C4⋊C4—221no—
1281C2×C4⋊C4—221no—
1282C2×C4⋊C4—221no—
1283C2×C22⋊C4—221no—
1284C2×C22⋊C4—221no—
1285C2×C22⋊C4—221no—
1286C2×C22⋊C4—221no—
1287C2×C22⋊C4—221no—
1288C2×C42C22×D1111yescharacteristic
1289#107—111no—
1290#107—111no—
1291#107C22×D1111yescharacteristic
1292#107C22×D1111yescharacteristic
1293#106—111no—
1294#106—111no—
1295#106C22×D1111yescharacteristic
1296#106C22×D1111yescharacteristic
1297C4⋊C8—111no—
1298C4⋊C8—111no—
1299C4⋊C8—111no—
1300C4⋊C8—111no—
1301C4⋊C8—111no—
1302C4⋊C8—111no—
1303C4⋊C8C22×D1111yescharacteristic
1304C4⋊C8C22×D1111yescharacteristic
1305C4⋊C8C22×D1111yescharacteristic
1306C4⋊C8C22×D1111yescharacteristic
1307#103—111no—
1308#103—111no—
1309#103—111no—
1310#103—111no—
1311#103—111no—
1312#103—111no—
1313#103—111no—
1314#103—111no—
1315#103—111no—
1316#103—111no—
1317#103—111no—
1318#103—111no—
1319#103—111no—
1320#103—111no—
1321#103—111no—
1322#103—111no—
1323#103—111no—
1324#103—111no—
1325#103C22×D1111yescharacteristic
1326#103C22×D1111yescharacteristic
1327#103C22×D1111yescharacteristic
1328#103C22×D1111yescharacteristic
1329#102—111no—
1330#102—111no—
1331#102—111no—
1332#102—111no—
1333#102—111no—
1334#102—111no—
1335#102C22×D1111yescharacteristic
1336#102C22×D1111yescharacteristic
1337#102C22×D1111yescharacteristic
1338#102C22×D1111yescharacteristic
1339C22⋊C8—111no—
1340C22⋊C8—111no—
1341C22⋊C8—111no—
1342C22⋊C8—111no—
1343C22⋊C8—111no—
1344C22⋊C8—111no—
1345#97—111no—
1346#97—111no—
1347#97—111no—
1348#97—111no—
1349C4×C8—111no—
1350C4×C8—111no—
1351C2×C11—22no—
1352C2×C11—81no—
1353C2×C11—81no—
1354C2×C11#348811yescharacteristic
1355C2×C11C2×#57711yescharacteristic
1356C2×C11#358611yescharacteristic
1357D11—41no—
1358D11—41no—
1359D11—42no—
1360D11—81no—
1361C24—221no—
1362C24—221no—
1363#41—222no—
1364#41—441no—
1365#41—441no—
1366#41—441no—
1367#41—441no—
1368#41—441no—
1369#41—882no—
1370C2×Q8—111no—
1371C2×Q8—111no—
1372C2×Q8—111no—
1373C2×Q8—111no—
1374C2×Q8—111no—
1375C2×Q8—221no—
1376C2×Q8—221no—
1377C2×Q8—221no—
1378C2×Q8—221no—
1379C2×Q8—221no—
1380C2×Q8—441no—
1381C2×Q8—441no—
1382C2×Q8—441no—
1383C2×Q8—441no—
1384C2×Q8—441no—
1385C2×Q8—441no—
1386C2×Q8—441no—
1387C2×Q8—441no—
1388C2×Q8C23×D1111yescharacteristic
1389C2×Q8C23×D1111yescharacteristic
1390C2×D4—21no—
1391C2×D4—21no—
1392C2×D4—111no—
1393C2×D4—111no—
1394C2×D4—111no—
1395C2×D4—111no—
1396C2×D4—111no—
1397C2×D4—222no—
1398C2×D4—221no—
1399C2×D4—221no—
1400C2×D4—221no—
1401C2×D4—221no—
1402C2×D4—221no—
1403C2×D4—221no—
1404C2×D4—222no—
1405C2×D4—221no—
1406C2×D4—221no—
1407C2×D4—221no—
1408C2×D4—221no—
1409C2×D4—441no—
1410C2×D4—441no—
1411C2×D4—882no—
1412C2×D4C23×D1111yescharacteristic
1413C2×D4C23×D1111yescharacteristic
1414C22×C4—21no—
1415C22×C4—21no—
1416C22×C4—111no—
1417C22×C4—111no—
1418C22×C4—221no—
1419C22×C4—221no—
1420C22×C4—221no—
1421C22×C4—221no—
1422C22×C4—221no—
1423C22×C4—221no—
1424C22×C4—221no—
1425C22×C4—221no—
1426C22×C4—221no—
1427C22×C4—221no—
1428C22×C4—221no—
1429C22×C4—221no—
1430C22×C4—221no—
1431C22×C4—221no—
1432C22×C4—221no—
1433C22×C4—221no—
1434C22×C4—882no—
1435C22×C4D4×D1111yescharacteristic
1436C22×C4D4×D1111yescharacteristic
1437C22×C4C23×D1111yescharacteristic
1438Q16—41no—
1439Q16—441no—
1440Q16—441no—
1441Q16—441no—
1442Q16—441no—
1443SD16—41no—
1444SD16—41no—
1445SD16—222no—
1446SD16—222no—
1447SD16—222no—
1448SD16—222no—
1449SD16—222no—
1450SD16—441no—
1451SD16—441no—
1452SD16—441no—
1453SD16—441no—
1454SD16—441no—
1455SD16—441no—
1456SD16—441no—
1457SD16—441no—
1458SD16—441no—
1459D8—41no—
1460D8—222no—
1461D8—441no—
1462M16—441no—
1463M16—441no—
1464C2×C8—41no—
1465C2×C8—41no—
1466C2×C8—111no—
1467C2×C8—111no—
1468C2×C8—111no—
1469C2×C8—111no—
1470C2×C8—441no—
1471C2×C8—441no—
1472C2×C8C23×D1111yescharacteristic
1473C2×C8C23×D1111yescharacteristic
1474C2×C8C23×D1111yescharacteristic
1475C2×C8C23×D1111yescharacteristic
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—21no—
1481C4⋊C4—21no—
1482C4⋊C4—21no—
1483C4⋊C4—21no—
1484C4⋊C4—111no—
1485C4⋊C4—111no—
1486C4⋊C4—111no—
1487C4⋊C4—111no—
1488C4⋊C4—111no—
1489C4⋊C4—111no—
1490C4⋊C4—111no—
1491C4⋊C4—111no—
1492C4⋊C4—111no—
1493C4⋊C4—111no—
1494C4⋊C4—111no—
1495C4⋊C4—111no—
1496C4⋊C4—221no—
1497C4⋊C4—221no—
1498C4⋊C4—221no—
1499C4⋊C4—221no—
1500C4⋊C4—221no—
1501C4⋊C4—221no—
1502C4⋊C4—221no—
1503C4⋊C4—221no—
1504C4⋊C4—221no—
1505C4⋊C4—221no—
1506C4⋊C4—221no—
1507C4⋊C4—221no—
1508C4⋊C4—221no—
1509C4⋊C4—221no—
1510C4⋊C4—221no—
1511C4⋊C4—221no—
1512C4⋊C4—221no—
1513C4⋊C4—221no—
1514C4⋊C4—221no—
1515C4⋊C4—221no—
1516C4⋊C4—221no—
1517C4⋊C4—221no—
1518C4⋊C4—221no—
1519C4⋊C4—221no—
1520C4⋊C4—221no—
1521C4⋊C4—221no—
1522C4⋊C4—221no—
1523C4⋊C4C23×D1111yescharacteristic
1524C4⋊C4C23×D1111yescharacteristic
1525C4⋊C4C23×D1111yescharacteristic
1526C4⋊C4C23×D1111yescharacteristic
1527C22⋊C4—21no—
1528C22⋊C4—21no—
1529C22⋊C4—21no—
1530C22⋊C4—21no—
1531C22⋊C4—21no—
1532C22⋊C4—21no—
1533C22⋊C4—21no—
1534C22⋊C4—21no—
1535C22⋊C4—21no—
1536C22⋊C4—21no—
1537C22⋊C4—111no—
1538C22⋊C4—111no—
1539C22⋊C4—111no—
1540C22⋊C4—111no—
1541C22⋊C4—111no—
1542C22⋊C4—111no—
1543C22⋊C4—111no—
1544C22⋊C4—111no—
1545C22⋊C4—111no—
1546C22⋊C4—111no—
1547C22⋊C4—221no—
1548C22⋊C4—221no—
1549C22⋊C4—221no—
1550C22⋊C4—221no—
1551C22⋊C4—221no—
1552C22⋊C4—221no—
1553C22⋊C4—221no—
1554C22⋊C4—221no—
1555C22⋊C4—221no—
1556C22⋊C4—221no—
1557C22⋊C4—221no—
1558C22⋊C4—221no—
1559C22⋊C4—221no—
1560C22⋊C4—221no—
1561C22⋊C4—221no—
1562C22⋊C4—221no—
1563C22⋊C4—221no—
1564C22⋊C4—221no—
1565C22⋊C4—221no—
1566C22⋊C4—221no—
1567C22⋊C4—221no—
1568C22⋊C4—221no—
1569C42—21no—
1570C42—21no—
1571C42—111no—
1572C42—111no—
1573C42—221no—
1574C42—221no—
1575C42—221no—
1576C42—221no—
1577C42—221no—
1578C42—221no—
1579C42D4×D1111yescharacteristic
1580C42D4×D1111yescharacteristic
1581C42C23×D1111yescharacteristic
1582C42C23×D1111yescharacteristic
1583C11#6200811yescharacteristic, complemented, Sylow
1584C23—21no—
1585C23—21no—
1586C23—111no—
1587C23—111no—
1588C23—221no—
1589C23—221no—
1590C23—442no—
1591C23—442no—
1592C23—442no—
1593C23—881no—
1594C23—881no—
1595C23—881no—
1596C23C2×D4×D1111yescharacteristic
1597Q8—21no—
1598Q8—21no—
1599Q8—21no—
1600Q8—21no—
1601Q8—221no—
1602Q8—221no—
1603Q8—221no—
1604Q8—221no—
1605Q8—221no—
1606Q8—221no—
1607Q8—221no—
1608Q8—221no—
1609Q8—441no—
1610Q8—881no—
1611Q8—881no—
1612Q8—881no—
1613Q8—881no—
1614Q8—881no—
1615D4—21no—
1616D4—21no—
1617D4—21no—
1618D4—21no—
1619D4—42no—
1620D4—42no—
1621D4—112no—
1622D4—222no—
1623D4—222no—
1624D4—221no—
1625D4—221no—
1626D4—221no—
1627D4—441no—
1628D4—442no—
1629D4—442no—
1630D4—442no—
1631D4—881no—
1632D4—881no—
1633D4—881no—
1634D4—881no—
1635D4—881no—
1636D4—881no—
1637D4—881no—
1638C2×C4—22no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—21no—
1643C2×C4—21no—
1644C2×C4—21no—
1645C2×C4—21no—
1646C2×C4—21no—
1647C2×C4—41no—
1648C2×C4—42no—
1649C2×C4—81no—
1650C2×C4—111no—
1651C2×C4—111no—
1652C2×C4—111no—
1653C2×C4—111no—
1654C2×C4—111no—
1655C2×C4—111no—
1656C2×C4—221no—
1657C2×C4—221no—
1658C2×C4—221no—
1659C2×C4—221no—
1660C2×C4—221no—
1661C2×C4—221no—
1662C2×C4—221no—
1663C2×C4—221no—
1664C2×C4—221no—
1665C2×C4—221no—
1666C2×C4—442no—
1667C2×C4—442no—
1668C2×C4—881no—
1669C2×C4—881no—
1670C2×C4—881no—
1671C2×C4—881no—
1672C2×C4—881no—
1673C2×C4—881no—
1674C2×C4—881no—
1675C2×C4—881no—
1676C2×C4—881no—
1677C2×C4—881no—
1678C2×C4—881no—
1679C2×C4—881no—
1680C2×C4—881no—
1681C2×C4—881no—
1682C2×C4C2×D4×D1111yescharacteristic
1683C2×C4C2×D4×D1111yescharacteristic
1684C2×C4C2×D4×D1111yescharacteristic
1685C2×C4C2×D4×D1111yescharacteristic
1686C2×C4C2×D4×D1111yescharacteristic
1687C2×C4C24×D1111yescharacteristic
1688C8—21no—
1689C8—21no—
1690C8—21no—
1691C8—21no—
1692C8—221no—
1693C8—221no—
1694C8—221no—
1695C8—221no—
1696C22—21no—
1697C22—21no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—41no—
1702C22—41no—
1703C22—41no—
1704C22—221no—
1705C22—221no—
1706C22—221no—
1707C22—221no—
1708C22—222no—
1709C22—221no—
1710C22—221no—
1711C22—441no—
1712C22—441no—
1713C22—441no—
1714C22—441no—
1715C22—441no—
1716C22—884no—
1717C22—1762no—
1718C22#1062330112yes—
1719C22C22×D4×D1111yescharacteristic
1720C4—21no—
1721C4—21no—
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—41no—
1726C4—41no—
1727C4—41no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—221no—
1732C4—221no—
1733C4—221no—
1734C4—221no—
1735C4—221no—
1736C4—221no—
1737C4—441no—
1738C4—441no—
1739C4—441no—
1740C4—441no—
1741C4—441no—
1742C4—441no—
1743C4D11×H(5,𝔽2)11yescharacteristic
1744C4#1062345711yescharacteristic
1745C2—22no—
1746C2—81no—
1747C2—81no—
1748C2—441no—
1749C2—441no—
1750C2—442no—
1751C2—881no—
1752C2#1308228011yescharacteristic
1753C2C2×#1062330111yescharacteristic
1754C2#1308340011yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3250C2
socleC22×C11C23×D4
hypercenter#3250D11
hypocenterC11#62008
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3250

Complements

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

NH ≅ G/Ntype
1. #13083053C2semidirect
2. #13082550C2semidirect
3. #13081679C2semidirect
4. #13081672C2semidirect
5. #13081446C2semidirect
6. #13081400C2semidirect
7. #13080784C2semidirect
8. #13080673C2semidirect
9. #13080613C2semidirect
10. #13080589C2semidirect
11. #13080509C2semidirect
12. #13080476C2semidirect
13. #13080320C2semidirect
14. #13080309C2semidirect
15. #13080136C2semidirect
16. #13080123C2semidirect
17. #13080121C2semidirect
18. #13080108C2semidirect
19. #13080064C2semidirect
20. #13080048C2semidirect
21. #13079730C2semidirect
22. #13079674C2semidirect
23. #13079640C2semidirect
24. #13078870C2semidirect
25. #13078837C2semidirect
26. #13078750C2semidirect
27. #13078169C2semidirect
28. #13078126C2semidirect
29. C2×#10622454C2semidirect
30. #13077752C2semidirect
31. C11×#3250C2semidirect
33. C11×#529C22semidirect
44. #10623228C22semidirect
45. #10623228C22semidirect
50. #10623206C22semidirect
51. #10623206C22semidirect
58. #10623163C22semidirect
63. #10623129C22semidirect
65. Q8×D44C22semidirect
67. #10623098C22semidirect
71. #10623086C22semidirect
75. #10623073C22semidirect
82. C2×#66922C22semidirect
83. C11×#479C22semidirect
84. C11×#479C22semidirect
85. C11×#478C22semidirect
86. C11×#478C22semidirect
87. C11×#467C22semidirect
90. C11×#465C22semidirect
91. C11×#464C22semidirect
92. C11×#464C22semidirect
93. C11×#463C22semidirect
94. C11×#463C22semidirect
95. C2×C11×C4⋊C8C22semidirect
96. #10622803C22semidirect
97. #10622799C22semidirect
98. #10622795C22semidirect
100. #10622786C22semidirect
101. #10622783C22semidirect
102. #10622781C22semidirect
103. #10622779C22semidirect
104. #10622775C22semidirect
105. #10622771C22semidirect
107. #10622766C22semidirect
109. #10622724C22semidirect
111. C8×C22⋊D11C22semidirect
112. C2×#66880C22semidirect
113. C2×#66880C22semidirect
114. #10622682C22semidirect
115. #10622682C22semidirect
117. #10622679C22semidirect
118. #10622673C22semidirect
119. #10622673C22semidirect
121. #10622670C22semidirect
122. #10622663C22semidirect
123. #10622663C22semidirect
125. #10622656C22semidirect
129. #10622646C22semidirect
130. #10622644C22semidirect
131. #10622644C22semidirect
133. #10622639C22semidirect
134. #10622632C22semidirect
135. #10622632C22semidirect
137. #10622627C22semidirect
138. #10622539C22semidirect
141. #10622501C22semidirect
143. #10622499C22semidirect
144. #10622497C22semidirect
145. #10622490C22semidirect
146. #10622488C22semidirect
147. #10622480C22semidirect
149. #10622477C22semidirect
150. #10622475C22semidirect
151. #10622470C22semidirect
152. #10622467C22semidirect
159. #10622454C22semidirect
160. #10622454C22semidirect
161. #10622454C22semidirect
162. #10622454C22semidirect
163. #10622453C22semidirect
164. #10622453C22semidirect
165. #10622452C22semidirect
166. #10622452C22semidirect
167. #10622449C22semidirect
168. #10622449C22semidirect
169. #10622441C22semidirect
170. #10622441C22semidirect
173. #10622429C22semidirect
174. #10622426C22semidirect
178. #10622419C22semidirect
179. #10622415C22semidirect
180. D11×#103C22semidirect
181. #10622411C22semidirect
182. #10622411C22semidirect
183. #10622410C22semidirect
184. #10622405C22semidirect
185. #10622403C22semidirect
186. #10622402C22semidirect
190. #10622394C22semidirect
191. #10622393C22semidirect
192. #10622391C22semidirect
195. #10622385C22semidirect
196. #10622384C22semidirect
197. #10622381C22semidirect
198. #10622378C22semidirect
201. #10622371C22semidirect
202. #10622370C22semidirect
727. #3250D11semidirect
895. #529C2×D11semidirect
921. #479C2×D11semidirect
922. #479C2×D11semidirect
925. #478C2×D11semidirect
926. #478C2×D11semidirect
934. #467C2×D11semidirect
940. #465C2×D11semidirect
944. #464C2×D11semidirect
945. #464C2×D11semidirect
951. #463C2×D11semidirect
952. #463C2×D11semidirect
1014. C2×C4⋊C8C2×D11semidirect
1583. C11#62008semidirect

Maximal subgroups

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

subgroupindex
#130830532
#130825502
#130816792
#130816722
#130814462
#130814002
#130807842
#130806732
#130806132
#130805892
#130805092
#130804762
#130803202
#130803092
#130801362
#130801232
#130801212
#130801082
#130800642
#130800482
#130797302
#130796742
#130796402
#130788702
#130788372
#130787502
#130781692
#130781262
C2×#106224542
#130777522
C11×#32502
#6200811