Finite Group Databasebeta

← #15647419

Subgroups — #15647419

Order 2816.

1892 conjugacy classes of subgroups.

The subgroup lattice has 1804 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13083136C211yesmaximal, characteristic, complemented
2#13082702C211yesmaximal, characteristic, complemented
3#13081706C211yesmaximal, characteristic, complemented
4#13081700C211yesmaximal, characteristic, complemented
5#13081430C211yesmaximal, characteristic, complemented
6#13080696C211yesmaximal, characteristic, complemented
7#13080694C211yesmaximal, characteristic, complemented
8#13080606C211yesmaximal, characteristic, complemented
9#13080604C211yesmaximal, characteristic, complemented
10#13080428C211yesmaximal, characteristic, complemented
11#13080426C211yesmaximal, characteristic, complemented
12#13080358C211yesmaximal, characteristic, complemented
13#13080352C211yesmaximal, characteristic, complemented
14#13080158C211yesmaximal, characteristic, complemented
15#13080151C211yesmaximal, characteristic, complemented
16#13080113C211yesmaximal, characteristic, complemented
17#13080106C211yesmaximal, characteristic, complemented
18#13080079C211yesmaximal, characteristic, complemented
19#13080076C211yesmaximal, characteristic, complemented
20#13079925C211yesmaximal, characteristic, complemented
21#13079713C211yesmaximal, characteristic, complemented
22#13079711C211yesmaximal, characteristic, complemented
23#13079604C211yesmaximal, characteristic, complemented
24#13078884C211yesmaximal, characteristic, complemented
25#13078876C211yesmaximal, characteristic, complemented
26#13078736C211yesmaximal, characteristic, complemented
27#13078158C211yesmaximal, characteristic, complemented
28#13078152C211yesmaximal, characteristic, complemented
29D11×#464C211yesmaximal, characteristic, complemented
30#13077754C211yesmaximal, characteristic, complemented
31C11×#3375C211yesmaximal, characteristic, complemented
32C11×#559C2211yescharacteristic
33Q82×C11C2211yescharacteristic, complemented
34C2×#66972C2211yescharacteristic, complemented
35C2×Q16×D11C2211yescharacteristic, complemented
36C2×#66969C2211yescharacteristic, complemented
37C2×#66967C2211yescharacteristic, complemented
38C2×#66967C2211yescharacteristic, complemented
39C2×SD16×D11C2211yescharacteristic
40#10623264—21no—
41#10623264—21no—
42#10623264C2211yescharacteristic, complemented
43#10623264C2211yescharacteristic, complemented
44#10623261—21no—
45#10623261C2211yescharacteristic, complemented
46#10623257—21no—
47#10623257—21no—
48#10623257C2211yescharacteristic, complemented
49#10623257C2211yescharacteristic, complemented
50#10623256—21no—
51#10623256C2211yescharacteristic, complemented
52#10623248C2211yescharacteristic
53#10623246C2211yescharacteristic
54#10623214—21no—
55#10623209—21no—
56#10623208C2211yescharacteristic
57#10623207C2211yescharacteristic
58#10623205C2211yescharacteristic
59D11×#124C2211yescharacteristic
60#10623198—21no—
61#10623188—21no—
62#10623185—21no—
63#10623184—21no—
64#10623116—21no—
65#10623116C2211yescharacteristic
66#10623116C2211yescharacteristic, complemented
67#10623113C2211yescharacteristic
68#10623111—21no—
69#10623111C2211yescharacteristic
70#10623108C2211yescharacteristic, complemented
71#10623107C2211yescharacteristic
72#10623107C2211yescharacteristic, complemented
73#10623107C2211yescharacteristic, complemented
74#10623105C2211yescharacteristic, complemented
75#10623105C2211yescharacteristic, complemented
76C4×Q8×D11C2211yescharacteristic, complemented
77#10623092C2211yescharacteristic
78#10623091—21no—
79#10623085C2211yescharacteristic
80#10623081—21no—
81D4×D44C2211yescharacteristic
82#10623079C2211yescharacteristic
83C11×#489C2211yescharacteristic, complemented
84C11×#489C2211yescharacteristic, complemented
85C11×#486C2211yescharacteristic
86C11×#477C2211yescharacteristic, complemented
87C11×#474C2211yescharacteristic, complemented
88C11×#474C2211yescharacteristic, complemented
89C11×#464C2211yescharacteristic, complemented
90C11×#464C2211yescharacteristic, complemented
91C11×#460C2211yescharacteristic
92C11×#446C2211yescharacteristic, complemented
93C11×#440C2211yescharacteristic, complemented
94C11×#440C2211yescharacteristic, complemented
95C4×C11×Q16C2211yescharacteristic, complemented
96#10622800C2211yescharacteristic, complemented
97#10622798C2211yescharacteristic, complemented
98#10622785C2211yescharacteristic
99#10622783C2211yescharacteristic, complemented
100#10622779C2211yescharacteristic, complemented
101#10622776C2211yescharacteristic, complemented
102#10622704C2211yescharacteristic, complemented
103#10622702C2211yescharacteristic, complemented
104#10622702C2211yescharacteristic, complemented
105#10622701C2211yescharacteristic
106#10622700C2211yescharacteristic, complemented
107#10622700C2211yescharacteristic, complemented
108#10622687C2211yescharacteristic
109#10622685C2211yescharacteristic
110#10622672C2211yescharacteristic, complemented
111#10622671C2211yescharacteristic, complemented
112#10622670C2211yescharacteristic, complemented
113#10622667C2211yescharacteristic, complemented
114C4×#4326C2211yescharacteristic, complemented
115#10622641C2211yescharacteristic, complemented
116#10622641C2211yescharacteristic, complemented
117#10622641C2211yescharacteristic, complemented
118#10622640C2211yescharacteristic
119#10622639C2211yescharacteristic, complemented
120#10622639C2211yescharacteristic, complemented
121#10622639C2211yescharacteristic, complemented
122#10622637C2211yescharacteristic, complemented
123#10622631C2211yescharacteristic, complemented
124#10622629C2211yescharacteristic, complemented
125#10622628C2211yescharacteristic, complemented
126C4×#4323C2211yescharacteristic, complemented
127#10622503C2211yescharacteristic, complemented
128#10622503C2211yescharacteristic, complemented
129#10622500C2211yescharacteristic, complemented
130#10622499C2211yescharacteristic
131#10622499C2211yescharacteristic, complemented
132#10622497C2211yescharacteristic, complemented
133#10622496C2211yescharacteristic
134#10622496C2211yescharacteristic, complemented
135#10622496C2211yescharacteristic, complemented
136#10622495C2211yescharacteristic
137#10622495C2211yescharacteristic, complemented
138#10622488C2211yescharacteristic, complemented
139#10622458C2211yescharacteristic, complemented
140#10622458C2211yescharacteristic, complemented
141#10622457C2211yescharacteristic, complemented
142#10622457C2211yescharacteristic, complemented
143#10622456C2211yescharacteristic
144#10622456C2211yescharacteristic, complemented
145#10622452C2211yescharacteristic, complemented
146#10622452C2211yescharacteristic, complemented
147#10622449C2211yescharacteristic, complemented
148#10622449C2211yescharacteristic, complemented
149#10622447C2211yescharacteristic, complemented
150D11×C4⋊C8C2211yescharacteristic, complemented
151#10622432C2211yescharacteristic, complemented
152#10622432C2211yescharacteristic, complemented
153#10622426C2211yescharacteristic, complemented
154#10622425C2211yescharacteristic, complemented
155#10622424C2211yescharacteristic
156#10622424C2211yescharacteristic, complemented
157#10622423C2211yescharacteristic, complemented
158#10622423C2211yescharacteristic, complemented
159#10622422C2211yescharacteristic, complemented
160#10622419C2211yescharacteristic, complemented
161#10622419C2211yescharacteristic, complemented
162#10622419C2211yescharacteristic, complemented
163#10622416C2211yescharacteristic, complemented
164D11×#103C2211yescharacteristic, complemented
165#10622411C2211yescharacteristic, complemented
166#10622407C2211yescharacteristic, complemented
167#10622400C2211yescharacteristic, complemented
168#10622400C2211yescharacteristic, complemented
169#10622399C2211yescharacteristic, complemented
170#10622399C2211yescharacteristic, complemented
171#10622396C2211yescharacteristic, complemented
172#10622394C2211yescharacteristic, complemented
173#10622393C2211yescharacteristic
174#10622389C2211yescharacteristic, complemented
175#10622389C2211yescharacteristic, complemented
176#10622388C2211yescharacteristic
177#10622388C2211yescharacteristic, complemented
178#10622388C2211yescharacteristic, complemented
179#10622387C2211yescharacteristic
180#10622387C2211yescharacteristic, complemented
181#10622386C2211yescharacteristic
182#10622386C2211yescharacteristic
183#10622386C2211yescharacteristic, complemented
184#10622386C2211yescharacteristic, complemented
185#10622384C2211yescharacteristic, complemented
186D11×#102C2211yescharacteristic
187D11×#102C2211yescharacteristic, complemented
188D11×#102C2211yescharacteristic, complemented
189#10622380C2211yescharacteristic, complemented
190#10622375C2211yescharacteristic, complemented
191#10622325C2211yescharacteristic
192#10622325C2211yescharacteristic, complemented
193#10622323C2211yescharacteristic, complemented
194#10622323C2211yescharacteristic, complemented
195#10622322C2211yescharacteristic, complemented
196#10622319C2211yescharacteristic, complemented
197#10622319C2211yescharacteristic, complemented
198#10622318C2211yescharacteristic, complemented
199#10622309C2211yescharacteristic, complemented
200C4×D88C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic, complemented
202C8×D44C2211yescharacteristic, complemented
203C2×#4343—21no—
204C2×#4343—21no—
205C2×#4343—21no—
206C2×#4343C2311yescharacteristic
207C2×#4343C2311yescharacteristic
208C2×#4343C2311yescharacteristic
209C2×Q8×D11C2311yescharacteristic
210C2×Q8×D11C2311yescharacteristic
211C2×#4341C2311yescharacteristic
212C2×D4×D11—21no—
213C2×D4×D11C2311yescharacteristic
214C2×D4×D11C2311yescharacteristic
215C2×D4×D11C2311yescharacteristic
216C2×#4339—21no—
217C22×D44—21no—
218C2×C11×Q16C2311yescharacteristic
219C2×C11×SD16C2311yescharacteristic
220C2×C11×SD16C2311yescharacteristic
221C11×C4⋊Q8—21no—
222C11×C4⋊Q8—21no—
223C11×C4⋊Q8—21no—
224C11×C4⋊Q8C2311yescharacteristic
225C11×C4⋊Q8C2311yescharacteristic
226C11×C4⋊Q8C2311yescharacteristic
227C11×#127C2311yescharacteristic
228C11×#124—21no—
229C11×#124C2311yescharacteristic
230C11×#124C2311yescharacteristic
231C11×#123—21no—
232C11×#123—21no—
233C4×Q8×C11—21no—
234C4×Q8×C11C2311yescharacteristic
235C4×Q8×C11C2311yescharacteristic
236C4×Q8×C11C2311yescharacteristic
237C4×Q8×C11C2311yescharacteristic
238C4×Q8×C11C2311yescharacteristic
239C4×D4×C11—21no—
240C4×D4×C11C2311yescharacteristic
241C4×D4×C11C2311yescharacteristic
242#67000—21no—
243#67000—21no—
244#67000—21no—
245#67000—21no—
246#67000—21no—
247#67000D411yescharacteristic
248#67000C2311yescharacteristic
249#66999—21no—
250#66999—21no—
251#66999—21no—
252#66999—21no—
253#66999—21no—
254#66999—21no—
255#66999D411yescharacteristic
256#66999C2311yescharacteristic
257Q8×Dic11C2311yescharacteristic
258C2×#4326C2311yescharacteristic
259C2×#4326C2311yescharacteristic
260C2×#4325C2311yescharacteristic
261C2×#4325C2311yescharacteristic
262C2×#4325C2311yescharacteristic
263C2×#4325C2311yescharacteristic
264#66993C2311yescharacteristic
265#66992—21no—
266#66992—21no—
267#66991—21no—
268#66991C2311yescharacteristic
269#66991C2311yescharacteristic
270#66990—21no—
271#66990—21no—
272#66990—21no—
273#66990—21no—
274#66989C2311yescharacteristic
275C2×#4324C2311yescharacteristic
276C2×#4324C2311yescharacteristic
277C2×#4323C2311yescharacteristic
278C2×#4323C2311yescharacteristic
279C2×#4323C2311yescharacteristic
280C2×#4323C2311yescharacteristic
281#66983—21no—
282#66983—21no—
283#66982—21no—
284C4×C22⋊D11—21no—
285C2×(C2×D11)⋊C4—21no—
286#66977—21no—
287#66972—42no—
288Q16×D11—42no—
289#66969—42no—
290#66967—42no—
291#66967—42no—
292SD16×D11—42no—
293C2×Dic44C2311yescharacteristic
294C2×D88C2311yescharacteristic
295C2×D88C2311yescharacteristic
296C2×D88C2311yescharacteristic
297C2×D88C2311yescharacteristic
298C2×#4314C2311yescharacteristic
299C2×#4314C2311yescharacteristic
300C2×#4314C2311yescharacteristic
301C2×#4314C2311yescharacteristic
302C2×#4313C2311yescharacteristic
303C2×#4313C2311yescharacteristic
304C2×C8×D11C2311yescharacteristic
305C2×C8×D11C2311yescharacteristic
306C2×C8×D11C2311yescharacteristic
307C2×C8×D11C2311yescharacteristic
308#66951—21no—
309#66951—21no—
310#66951D411yescharacteristic
311#66951D411yescharacteristic
312#66950—21no—
313#66950—21no—
314#66950—21no—
315#66950C2311yescharacteristic
316#66950C2311yescharacteristic
317#66950C2311yescharacteristic
318#66949—21no—
319#66948—21no—
320#66948—21no—
321#66948—21no—
322#66948—21no—
323#66948—21no—
324#66948—21no—
325#66948D411yescharacteristic
326#66948C2311yescharacteristic
327#66948C2311yescharacteristic
328#66948C2311yescharacteristic
329#66948C2311yescharacteristic
330#66948C2311yescharacteristic
331#66948C2311yescharacteristic
332#66947—21no—
333#66947—21no—
334#66947—21no—
335#66947—21no—
336#66947—21no—
337#66947—21no—
338#66947—21no—
339#66947—21no—
340#66947—21no—
341#66947—21no—
342#66947—21no—
343#66947D411yescharacteristic
344#66947D411yescharacteristic
345#66946—21no—
346#66946—21no—
347#66946—21no—
348#66946—21no—
349#66946—21no—
350#66946—21no—
351#66946C2311yescharacteristic
352#66946C2311yescharacteristic
353C4⋊C4×D11—21no—
354C4⋊C4×D11—21no—
355C4⋊C4×D11—21no—
356C4⋊C4×D11C2311yescharacteristic
357C4⋊C4×D11C2311yescharacteristic
358C4⋊C4×D11C2311yescharacteristic
359#66943—21no—
360#66943D411yescharacteristic
361#66941C2311yescharacteristic
362#66940—21no—
363#66940C2311yescharacteristic
364#66939—21no—
365#66938—21no—
366#66938—21no—
367#66938—21no—
368#66938—21no—
369#66938—21no—
370#66937—21no—
371#66937—21no—
372#66937—21no—
373#66937—21no—
374#66937—21no—
375#66936—21no—
376#66935—21no—
377#66935—21no—
378#66935—21no—
379#66935—21no—
380#66935—21no—
381#66935—21no—
382(C22⋊D11)⋊C4—21no—
383C22⋊C4×D11—21no—
384C22⋊C4×D11—21no—
385C22⋊C4×D11—21no—
386#66932—21no—
387#66931—21no—
388#66929—21no—
389#66928—21no—
390#66928—21no—
391#66928—21no—
392#66928—21no—
393#66928C2311yescharacteristic
394#66928C2311yescharacteristic
395#66928C2311yescharacteristic
396#66928C2311yescharacteristic
397#66927—21no—
398#66927C2311yescharacteristic
399#66927C2311yescharacteristic
400C4×D44—21no—
401C4×D44—21no—
402C4×D44—21no—
403C4×D44—21no—
404C4×D44—21no—
405C4×D44—21no—
406C4×D44C2311yescharacteristic
407C4×D44C2311yescharacteristic
408C4×D44C2311yescharacteristic
409C4×D44C2311yescharacteristic
410C4×D44C2311yescharacteristic
411C4×D44C2311yescharacteristic
412C4×D44C2311yescharacteristic
413#66925—21no—
414#66925—21no—
415#66925C2311yescharacteristic
416#66925C2311yescharacteristic
417C42×D11—21no—
418C42×D11C2311yescharacteristic
419C4×Dic22—21no—
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×#107C2311yescharacteristic
423C11×#107C2311yescharacteristic
424C11×#107C2311yescharacteristic
425C11×C4⋊C8C2311yescharacteristic
426C11×C4⋊C8C2311yescharacteristic
427C11×C4⋊C8C2311yescharacteristic
428C11×#103C2311yescharacteristic
429C11×#103C2311yescharacteristic
430C11×#103C2311yescharacteristic
431C11×#103C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×#102C2311yescharacteristic
434C11×#102C2311yescharacteristic
435C11×#102C2311yescharacteristic
436C11×#102C2311yescharacteristic
437C11×#102C2311yescharacteristic
438C11×#97C2311yescharacteristic
439C11×#97C2311yescharacteristic
440C4×C8×C11C2311yescharacteristic
441#66899C2311yescharacteristic
442#66899C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66885C2311yescharacteristic
446#66885C2311yescharacteristic
447#66885C2311yescharacteristic
448#66885C2311yescharacteristic
449(C2×D11)⋊C8C2311yescharacteristic
450(C2×D11)⋊C8C2311yescharacteristic
451(C2×D11)⋊C8C2311yescharacteristic
452(C2×D11)⋊C8C2311yescharacteristic
453(C2×D11)⋊C8C2311yescharacteristic
454(C2×D11)⋊C8C2311yescharacteristic
455#66882C2311yescharacteristic
456#66880C2311yescharacteristic
457#66880C2311yescharacteristic
458Dic11⋊C8C2311yescharacteristic
459Dic11⋊C8C2311yescharacteristic
460Dic11⋊C8C2311yescharacteristic
461Dic11⋊C8C2311yescharacteristic
462#66874C2311yescharacteristic
463#66874C2311yescharacteristic
464#66874C2311yescharacteristic
465#66874C2311yescharacteristic
466#66873C2311yescharacteristic
467#66873C2311yescharacteristic
468#66873C2311yescharacteristic
469#66873C2311yescharacteristic
470#66873C2311yescharacteristic
471#66873C2311yescharacteristic
472#66873C2311yescharacteristic
473#66873C2311yescharacteristic
474#66871C2311yescharacteristic
475#66871C2311yescharacteristic
476#66871C2311yescharacteristic
477#66871C2311yescharacteristic
478C4⋊(C11⋊C8)C2311yescharacteristic
479C4⋊(C11⋊C8)C2311yescharacteristic
480C4⋊(C11⋊C8)C2311yescharacteristic
481#66867C2311yescharacteristic
482#66867C2311yescharacteristic
483C4×C11⋊C8C2311yescharacteristic
484#62022—111nomaximal, Sylow
485C23×D11—21no—
486C23×D11—21no—
487C23×D11—21no—
488C2×Q8×C11—21no—
489C2×Q8×C11—21no—
490C2×Q8×C11—21no—
491C2×Q8×C11C2×D411yescharacteristic
492C2×Q8×C11C2411yescharacteristic
493C2×Q8×C11C2411yescharacteristic
494C2×D4×C11—21no—
495C2×D4×C11—21no—
496C2×D4×C11C2411yescharacteristic
497C2×D4×C11C2411yescharacteristic
498C22×C4×C11—21no—
499C22×C4×C11—21no—
500C2×C22⋊D11—21no—
501C2×C22⋊D11—21no—
502C2×C22⋊D11—21no—
503C2×C22⋊D11—21no—
504C2×C22⋊D11—21no—
505C2×C22⋊D11—21no—
506C2×C22⋊D11—21no—
507C2×C22⋊D11—21no—
508C22×Dic11—21no—
509#4343—22no—
510#4343—22no—
511#4343—41no—
512#4343—41no—
513#4343—41no—
514#4343—41no—
515#4343—82no—
516#4343—82no—
517#4343—82no—
518Q8×D11—22no—
519Q8×D11—41no—
520Q8×D11—41no—
521Q8×D11—41no—
522#4341—41no—
523#4341—41no—
524D4×D11—41no—
525D4×D11—41no—
526D4×D11—41no—
527D4×D11—41no—
528D4×D11—41no—
529D4×D11—41no—
530D4×D11—82no—
531#4339—82no—
532C2×D44—21no—
533C2×D44—21no—
534C2×D44—21no—
535C2×D44—21no—
536C2×D44—21no—
537C2×D44—21no—
538C2×D44—21no—
539C2×D44—21no—
540C2×D44—21no—
541C2×D44—21no—
542C2×D44—21no—
543C2×D44—21no—
544C2×D44—21no—
545C2×D44—82no—
546C2×D44C2×D411yescharacteristic
547C2×D44C2×D411yescharacteristic
548C2×D44C2×D411yescharacteristic
549C2×D44C2411yescharacteristic
550C2×D44C2411yescharacteristic
551C2×D44C2411yescharacteristic
552C2×D44C2411yescharacteristic
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—21no—
563C2×C4×D11—21no—
564C2×C4×D11—21no—
565C2×C4×D11—21no—
566C2×C4×D11—21no—
567C2×C4×D11C2×D411yescharacteristic
568C2×C4×D11C2×D411yescharacteristic
569C2×C4×D11C2411yescharacteristic
570C2×C4×D11C2411yescharacteristic
571C2×C4×D11C2411yescharacteristic
572C2×Dic22—21no—
573C2×Dic22—21no—
574C2×Dic22—21no—
575C2×Dic22C2411yescharacteristic
576C2×Dic22C2411yescharacteristic
577C11×Q16—22no—
578C11×SD16—22no—
579C11×SD16—22no—
580C2×C8×C11C2411yescharacteristic
581C2×C8×C11C2411yescharacteristic
582C2×C8×C11C2411yescharacteristic
583C2×C8×C11C2411yescharacteristic
584C11×C4⋊C4—21no—
585C11×C4⋊C4—21no—
586C11×C4⋊C4—21no—
587C11×C4⋊C4—21no—
588C11×C4⋊C4—21no—
589C11×C4⋊C4—21no—
590C11×C4⋊C4—21no—
591C11×C4⋊C4C2×D411yescharacteristic
592C11×C4⋊C4C2×D411yescharacteristic
593C11×C4⋊C4C2×D411yescharacteristic
594C11×C4⋊C4C2411yescharacteristic
595C11×C4⋊C4C2411yescharacteristic
596C11×C4⋊C4C2411yescharacteristic
597C11×C4⋊C4C2411yescharacteristic
598C11×C22⋊C4—21no—
599C11×C22⋊C4—21no—
600C11×C22⋊C4—21no—
601C11×C22⋊C4—21no—
602C11×C22⋊C4—21no—
603C11×C22⋊C4—21no—
604C42×C11—21no—
605C42×C11—21no—
606C42×C11—21no—
607C42×C11—21no—
608C42×C11C2411yescharacteristic
609C42×C11C2411yescharacteristic
610C42×C11C2411yescharacteristic
611C22⋊Dic11—21no—
612C22⋊Dic11—21no—
613C22⋊Dic11—21no—
614C22⋊Dic11—21no—
615#4326—22no—
616#4326—41no—
617#4325—22no—
618#4325—22no—
619#4325—41no—
620#4325—41no—
621#4324—41no—
622#4324—41no—
623#4323—41no—
624#4323—41no—
625#4323—41no—
626#4323—41no—
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)⋊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)⋊C4—21no—
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
662(C2×D11)⋊C4C2×D411yescharacteristic
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
672Dic11⋊C4—21no—
673Dic11⋊C4—21no—
674Dic11⋊C4—21no—
675Dic11⋊C4—21no—
676Dic11⋊C4—21no—
677Dic11⋊C4—21no—
678Dic11⋊C4—21no—
679Dic11⋊C4—21no—
680Dic11⋊C4C2×D411yescharacteristic
681Dic11⋊C4C2×D411yescharacteristic
682Dic11⋊C4C2×D411yescharacteristic
683Dic11⋊C4C2×D411yescharacteristic
684C4×Dic11—21no—
685C4×Dic11—21no—
686C4×Dic11—21no—
687C4×Dic11—21no—
688C4×Dic11C2×D411yescharacteristic
689C4×Dic11C2×D411yescharacteristic
690C4×Dic11C2411yescharacteristic
691C2×C11⋊C8C2411yescharacteristic
692C2×C11⋊C8C2411yescharacteristic
693C2×C11⋊C8C2411yescharacteristic
694C2×C11⋊C8C2411yescharacteristic
695Dic44—41no—
696D88—41no—
697D88—41no—
698D88—41no—
699D88—41no—
700#4314—41no—
701#4314—41no—
702#4314—41no—
703#4314—41no—
704#4313—41no—
705#4313—41no—
706C8×D11—41no—
707C8×D11—41no—
708C8×D11—41no—
709C8×D11—41no—
710#3558—111no—
711#3522—111no—
712#3403—111no—
713#3403—111no—
714#3375—111no—
715#3375D1111yescharacteristic, complemented
716#3314—111no—
717#3314—111no—
718#3308—111no—
719#3308—111no—
720#3294—111no—
721#3294—111no—
722#3285—111no—
723#3285—111no—
724#3268—111no—
725#3268—111no—
726#3265—111no—
727#3265—111no—
728#3262—111no—
729#3262—111no—
730#3245—111no—
731#3224—111no—
732#3224—111no—
733#3213—111no—
734#3124—111no—
735#3124—111no—
736#3112—111no—
737#3045—111no—
738#3045—111no—
739C2×#464—111no—
740#2992—111no—
741C23×C11—21no—
742C23×C11—21no—
743C22×D11—21no—
744C22×D11—21no—
745C22×D11—21no—
746C22×D11—21no—
747C22×D11—42no—
748C22×D11—81no—
749C22×D11—81no—
750C22×D11—81no—
751C22×D11—81no—
752C22×D11—81no—
753C22×D11—81no—
754C22×D11—81no—
755C22×D11—81no—
756C22×D11C22×D411yescharacteristic
757C22×D11C22×D411yescharacteristic
758C22×D11C22×D411yescharacteristic
759Q8×C11—21no—
760Q8×C11—21no—
761Q8×C11—21no—
762Q8×C11—41no—
763Q8×C11—81no—
764Q8×C11—81no—
765Q8×C11—81no—
766Q8×C11H(5,𝔽2)12yes—
767D4×C11—21no—
768D4×C11—21no—
769D4×C11—21no—
770D4×C11—21no—
771D4×C11—81no—
772D4×C11—81no—
773C2×C4×C11—21no—
774C2×C4×C11—21no—
775C2×C4×C11—21no—
776C2×C4×C11—21no—
777C2×C4×C11—21no—
778C2×C4×C11—21no—
779C2×C4×C11—81no—
780C2×C4×C11—81no—
781C2×C4×C11C22×D411yescharacteristic
782C2×C4×C11C22×D411yescharacteristic
783C2×C4×C11C22×D411yescharacteristic
784C2×C4×C11C22×D411yescharacteristic
785C2×C4×C11C22×D411yescharacteristic
786C2×C4×C11C22×D411yescharacteristic
787C2×C4×C11C2511yescharacteristic
788C22⋊D11—42no—
789C22⋊D11—81no—
790C22⋊D11—81no—
791C22⋊D11—81no—
792C22⋊D11—81no—
793C22⋊D11—81no—
794C22⋊D11—81no—
795C22⋊D11—81no—
796C2×Dic11—21no—
797C2×Dic11—21no—
798C2×Dic11—21no—
799C2×Dic11—21no—
800C2×Dic11—81no—
801C2×Dic11C22×D411yescharacteristic
802C2×Dic11C22×D411yescharacteristic
803C2×Dic11C22×D411yescharacteristic
804C2×Dic11C22×D411yescharacteristic
805C2×Dic11C22×D411yescharacteristic
806D44—22no—
807D44—22no—
808D44—21no—
809D44—21no—
810D44—21no—
811D44—21no—
812D44—21no—
813D44—21no—
814D44—21no—
815D44—21no—
816D44—41no—
817D44—42no—
818D44—42no—
819D44—42no—
820D44—42no—
821D44—42no—
822D44—42no—
823D44—81no—
824D44—81no—
825D44—81no—
826D44—81no—
827D44—81no—
828D44—81no—
829D44—81no—
830C4×D11—22no—
831C4×D11—21no—
832C4×D11—21no—
833C4×D11—21no—
834C4×D11—21no—
835C4×D11—21no—
836C4×D11—21no—
837C4×D11—41no—
838C4×D11—42no—
839C4×D11—42no—
840C4×D11—42no—
841C4×D11—42no—
842C4×D11—81no—
843C4×D11—81no—
844C4×D11—81no—
845C4×D11—81no—
846C4×D11—81no—
847C4×D11—81no—
848C4×D11—81no—
849C4×D11—81no—
850C4×D11—81no—
851C4×D11—81no—
852Dic22—21no—
853Dic22—21no—
854Dic22—21no—
855Dic22—21no—
856Dic22—42no—
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—
869C2×#135—111no—
870C2×#135—111no—
871C22×Q16—111no—
872C22×SD16—111no—
873#562—221no—
874H(3,𝔽4)—221no—
875#559—111no—
876#559—111no—
877#559—221no—
878#559C2×D1111yescharacteristic
879Q82C2×D1111yescharacteristic, complemented
880#554—111no—
881#554—221no—
882#550—111no—
883#548—111no—
884#548—111no—
885#548—111no—
886#548—111no—
887#547—111no—
888#547—111no—
889#547—221no—
890#547—221no—
891#546—111no—
892#546—111no—
893#546—221no—
894#546—221no—
895D42—111no—
896D42—111no—
897#542—111no—
898#542—111no—
899#542—111no—
900#542—111no—
901#542—221no—
902#542—221no—
903#538—221no—
904#538—221no—
905#538—221no—
906#535—111no—
907#535—111no—
908#534—221no—
909#532—111no—
910#532—111no—
911#532—221no—
912#529—111no—
913#529—221no—
914C2×#124—111no—
915#520—111no—
916#520—111no—
917C2×C4×Q8—111no—
918#496—111no—
919#496—111no—
920#496—111no—
921#496—111no—
922#495—111no—
923#495—111no—
924#489—111no—
925#489—111no—
926#489C2×D1111yescharacteristic, complemented
927#489C2×D1111yescharacteristic, complemented
928#486—111no—
929#486C2×D1111yescharacteristic
930#484—111no—
931#484—111no—
932#480—111no—
933#480—111no—
934#480—111no—
935#480—111no—
936#477—111no—
937#477—111no—
938#477—111no—
939#477C2×D1111yescharacteristic, complemented
940#474—111no—
941#474—111no—
942#474—111no—
943#474—111no—
944#474C2×D1111yescharacteristic, complemented
945#474C2×D1111yescharacteristic, complemented
946#468—111no—
947#468—111no—
948#468—111no—
949#468—111no—
950#467—111no—
951#467—111no—
952#466—111no—
953#466—111no—
954#466—111no—
955#466—111no—
956#466—111no—
957#466—111no—
958#464—111no—
959#464—111no—
960#464—111no—
961#464—111no—
962#464—111no—
963#464—111no—
964#464—111no—
965#464—111no—
966#464—111no—
967#464—111no—
968#464C2×D1111yescharacteristic, complemented
969#464C2×D1111yescharacteristic, complemented
970#463—111no—
971#463—111no—
972#463—111no—
973#463—111no—
974#463—111no—
975#463—111no—
976#463—111no—
977#463—111no—
978#460—111no—
979#460—111no—
980#460—111no—
981#460C2×D1111yescharacteristic
982#459—111no—
983#459—111no—
984#459—111no—
985#459—111no—
986#459—111no—
987#459—111no—
988#452—111no—
989#452—111no—
990#452—111no—
991#452—111no—
992#450—111no—
993#450—111no—
994#449—111no—
995#449—111no—
996#449—111no—
997#449—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#440—111no—
1009#440—111no—
1010#440—111no—
1011#440—111no—
1012#440—111no—
1013#440—111no—
1014#440C2×D1111yescharacteristic, complemented
1015#440C2×D1111yescharacteristic, complemented
1016C4×Q16—111no—
1017C4×Q16C2×D1111yescharacteristic, complemented
1018C4×D8—111no—
1019C4×D8—111no—
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#417—111no—
1033#417—111no—
1034C2×#103—111no—
1035C2×#102—111no—
1036C2×#102—111no—
1037C2×#102—111no—
1038C22×C11—41no—
1039C22×C11—41no—
1040C22×C11—41no—
1041C22×C11—41no—
1042C22×C11—41no—
1043C22×C11—41no—
1044C22×C11C23×D411yescharacteristic
1045C2×D11—21no—
1046C2×D11—21no—
1047C2×D11—21no—
1048C2×D11—21no—
1049C2×D11—21no—
1050C2×D11—21no—
1051C2×D11—21no—
1052C2×D11—21no—
1053C2×D11—41no—
1054C2×D11—41no—
1055C2×D11—41no—
1056C2×D11—41no—
1057C2×D11—41no—
1058C2×D11—41no—
1059C2×D11—41no—
1060C2×D11—41no—
1061C2×D11—41no—
1062C2×D11—41no—
1063C2×D11—41no—
1064C2×D11—41no—
1065C2×D11—162no—
1066C2×D11—162no—
1067C2×D11—162no—
1068C2×D11#57612yes—
1069C4×C11—21no—
1070C4×C11—21no—
1071C4×C11—21no—
1072C4×C11—22no—
1073C4×C11—21no—
1074C4×C11—21no—
1075C4×C11—21no—
1076C4×C11—41no—
1077C4×C11—41no—
1078C4×C11—41no—
1079C4×C11—41no—
1080C4×C11—41no—
1081C4×C11C2×H(5,𝔽2)11yescharacteristic
1082C4×C11#58511yescharacteristic
1083Dic11—21no—
1084Dic11—21no—
1085Dic11—21no—
1086Dic11—21no—
1087Dic11—21no—
1088Dic11—41no—
1089Dic11—41no—
1090Dic11—41no—
1091Dic11—41no—
1092C2×#41—111no—
1093C2×#41—111no—
1094C2×#41—111no—
1095C2×#41—111no—
1096C2×#41—221no—
1097C2×#41—221no—
1098C2×#41—221no—
1099C2×#41—221no—
1100C22×Q8—111no—
1101C22×Q8—111no—
1102C22×D4—111no—
1103C22×D4—111no—
1104C22×D4—111no—
1105C22×D4—221no—
1106C22×D4—221no—
1107AGL(1,ℤ/8)—442no—
1108AGL(1,ℤ/8)—442no—
1109#135—442no—
1110#135—442no—
1111C2×Q16—111no—
1112C2×Q16—111no—
1113C2×Q16—111no—
1114C2×Q16—442no—
1115C2×Q16C22×D1111yescharacteristic
1116C2×SD16—111no—
1117C2×SD16—111no—
1118C2×SD16—111no—
1119C2×SD16—111no—
1120C2×SD16—111no—
1121C2×SD16—111no—
1122C2×SD16—111no—
1123C2×SD16—111no—
1124C2×SD16—111no—
1125C2×SD16—111no—
1126C2×SD16—442no—
1127C2×SD16C22×D1111yescharacteristic
1128C2×SD16C22×D1111yescharacteristic
1129C2×D8—111no—
1130C2×D8—111no—
1131C2×D8—111no—
1132C2×D8—111no—
1133C2×D8—111no—
1134C2×D8—111no—
1135C2×D8—111no—
1136C2×D8—111no—
1137C2×M16—111no—
1138C2×M16—111no—
1139C22×C8—111no—
1140C22×C8—111no—
1141C22×C8—111no—
1142C22×C8—111no—
1143C4⋊Q8—21no—
1144C4⋊Q8—21no—
1145C4⋊Q8—21no—
1146C4⋊Q8—111no—
1147C4⋊Q8C22×D1111yescharacteristic
1148C4⋊Q8C22×D1111yescharacteristic
1149C4⋊Q8C22×D1111yescharacteristic
1150#127—111no—
1151#127—111no—
1152#127—111no—
1153#127—221no—
1154#127C22×D1111yescharacteristic
1155#126—111no—
1156#126—111no—
1157#126—221no—
1158#126—221no—
1159#126—221no—
1160#126—221no—
1161#125—111no—
1162#125—221no—
1163#124—21no—
1164#124—111no—
1165#124—111no—
1166#124—111no—
1167#124—111no—
1168#124—111no—
1169#124—111no—
1170#124—111no—
1171#124—221no—
1172#124—221no—
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#124—221no—
1183#124—221no—
1184#124—221no—
1185#124C22×D1111yescharacteristic
1186#124C22×D1111yescharacteristic
1187#123—21no—
1188#123—21no—
1189#123—111no—
1190#123—111no—
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—
1200#123—221no—
1201#123—221no—
1202#123—221no—
1203#123—221no—
1204#123—221no—
1205C22⋊Q8—111no—
1206C22⋊Q8—111no—
1207C22⋊Q8—111no—
1208C22⋊Q8—111no—
1209C22⋊Q8—111no—
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—
1222#121—111no—
1223#121—111no—
1224#121—111no—
1225#121—111no—
1226#121—111no—
1227#121—111no—
1228#121—111no—
1229#121—111no—
1230#121—111no—
1231#121—221no—
1232#121—221no—
1233#121—221no—
1234#121—221no—
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#120—221no—
1248#120—221no—
1249#120—221no—
1250#120—221no—
1251#120—221no—
1252#120—221no—
1253#120—221no—
1254#120—221no—
1255#120—221no—
1256#120—221no—
1257C4×Q8—21no—
1258C4×Q8—111no—
1259C4×Q8—111no—
1260C4×Q8—111no—
1261C4×Q8—111no—
1262C4×Q8—221no—
1263C4×Q8—221no—
1264C4×Q8C22×D1111yescharacteristic
1265C4×Q8C22×D1111yescharacteristic
1266C4×Q8C22×D1111yescharacteristic
1267C4×Q8C22×D1111yescharacteristic
1268C4×Q8C22×D1111yescharacteristic
1269C4×D4—21no—
1270C4×D4—111no—
1271C4×D4—111no—
1272C4×D4—111no—
1273C4×D4—111no—
1274C4×D4—111no—
1275C4×D4—111no—
1276C4×D4—111no—
1277C4×D4—111no—
1278C4×D4—111no—
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×D4—221no—
1289C4×D4—221no—
1290C4×D4—221no—
1291C4×D4—221no—
1292C4×D4—221no—
1293C4×D4C22×D1111yescharacteristic
1294C4×D4C22×D1111yescharacteristic
1295#117—111no—
1296#117—111no—
1297#117—221no—
1298#117—221no—
1299C2×C4⋊C4—111no—
1300C2×C4⋊C4—111no—
1301C2×C4⋊C4—111no—
1302C2×C4⋊C4—221no—
1303C2×C4⋊C4—221no—
1304C2×C4⋊C4—221no—
1305C2×C22⋊C4—221no—
1306C2×C22⋊C4—221no—
1307C2×C22⋊C4—221no—
1308C2×C22⋊C4—221no—
1309C2×C42—111no—
1310C2×C42—221no—
1311#107—111no—
1312#107—111no—
1313#107—111no—
1314#107—111no—
1315#107—111no—
1316#107C22×D1111yescharacteristic
1317#107C22×D1111yescharacteristic
1318#107C22×D1111yescharacteristic
1319C4⋊C8—111no—
1320C4⋊C8—111no—
1321C4⋊C8—111no—
1322C4⋊C8—111no—
1323C4⋊C8—111no—
1324C4⋊C8—111no—
1325C4⋊C8—111no—
1326C4⋊C8C22×D1111yescharacteristic
1327C4⋊C8C22×D1111yescharacteristic
1328C4⋊C8C22×D1111yescharacteristic
1329#103—111no—
1330#103—111no—
1331#103—111no—
1332#103—111no—
1333#103—111no—
1334#103—111no—
1335#103—111no—
1336#103—111no—
1337#103C22×D1111yescharacteristic
1338#103C22×D1111yescharacteristic
1339#103C22×D1111yescharacteristic
1340#103C22×D1111yescharacteristic
1341#102—111no—
1342#102—111no—
1343#102—111no—
1344#102—111no—
1345#102—111no—
1346#102—111no—
1347#102—111no—
1348#102—111no—
1349#102—111no—
1350#102—111no—
1351#102—111no—
1352#102—111no—
1353#102—111no—
1354#102—111no—
1355#102C22×D1111yescharacteristic
1356#102C22×D1111yescharacteristic
1357#102C22×D1111yescharacteristic
1358#102C22×D1111yescharacteristic
1359#102C22×D1111yescharacteristic
1360#102C22×D1111yescharacteristic
1361C22⋊C8—111no—
1362C22⋊C8—111no—
1363C22⋊C8—111no—
1364C22⋊C8—111no—
1365C22⋊C8—111no—
1366C22⋊C8—111no—
1367#97—111no—
1368#97—111no—
1369#97C22×D1111yescharacteristic
1370#97C22×D1111yescharacteristic
1371C4×C8—111no—
1372C4×C8C22×D1111yescharacteristic
1373C2×C11—81no—
1374C2×C11—81no—
1375C2×C11#348811yescharacteristic
1376C2×C11C2×#57611yescharacteristic
1377C2×C11#358611yescharacteristic
1378D11—22no—
1379D11—41no—
1380D11—41no—
1381D11—81no—
1382D11—81no—
1383D11—81no—
1384D11—81no—
1385C24—221no—
1386C24—221no—
1387C24—221no—
1388#41—222no—
1389#41—222no—
1390#41—441no—
1391#41—441no—
1392#41—441no—
1393#41—441no—
1394#41—441no—
1395#41—441no—
1396#41—882no—
1397#41—882no—
1398#41—882no—
1399#41—882no—
1400C2×Q8—21no—
1401C2×Q8—21no—
1402C2×Q8—21no—
1403C2×Q8—111no—
1404C2×Q8—111no—
1405C2×Q8—221no—
1406C2×Q8—221no—
1407C2×Q8—221no—
1408C2×Q8—222no—
1409C2×Q8—441no—
1410C2×Q8—441no—
1411C2×Q8—441no—
1412C2×Q8D4×D1111yescharacteristic
1413C2×Q8C23×D1111yescharacteristic
1414C2×Q8C23×D1111yescharacteristic
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—111no—
1418C2×D4—111no—
1419C2×D4—111no—
1420C2×D4—111no—
1421C2×D4—111no—
1422C2×D4—111no—
1423C2×D4—111no—
1424C2×D4—221no—
1425C2×D4—221no—
1426C2×D4—221no—
1427C2×D4—221no—
1428C2×D4—221no—
1429C2×D4—221no—
1430C2×D4—221no—
1431C2×D4—221no—
1432C2×D4—221no—
1433C2×D4—221no—
1434C2×D4—221no—
1435C2×D4—221no—
1436C2×D4—221no—
1437C2×D4—221no—
1438C2×D4—221no—
1439C2×D4—221no—
1440C2×D4—221no—
1441C2×D4—221no—
1442C2×D4—221no—
1443C2×D4—221no—
1444C2×D4—221no—
1445C2×D4—441no—
1446C2×D4—441no—
1447C2×D4—441no—
1448C2×D4—441no—
1449C2×D4—441no—
1450C2×D4—441no—
1451C2×D4—882no—
1452C2×D4—882no—
1453C2×D4C23×D1111yescharacteristic
1454C2×D4C23×D1111yescharacteristic
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—111no—
1458C22×C4—111no—
1459C22×C4—111no—
1460C22×C4—111no—
1461C22×C4—111no—
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—221no—
1476C22×C4—221no—
1477Q16—22no—
1478Q16—222no—
1479Q16—441no—
1480Q16—441no—
1481SD16—22no—
1482SD16—22no—
1483SD16—222no—
1484SD16—222no—
1485SD16—441no—
1486SD16—441no—
1487SD16—441no—
1488SD16—441no—
1489SD16—441no—
1490SD16—441no—
1491SD16—441no—
1492SD16—441no—
1493D8—441no—
1494D8—441no—
1495D8—441no—
1496D8—441no—
1497D8—441no—
1498D8—441no—
1499D8—441no—
1500D8—441no—
1501M16—441no—
1502M16—441no—
1503C2×C8—111no—
1504C2×C8—111no—
1505C2×C8—111no—
1506C2×C8—111no—
1507C2×C8—441no—
1508C2×C8—441no—
1509C2×C8—441no—
1510C2×C8—441no—
1511C2×C8C23×D1111yescharacteristic
1512C2×C8C23×D1111yescharacteristic
1513C2×C8C23×D1111yescharacteristic
1514C2×C8C23×D1111yescharacteristic
1515C4⋊C4—21no—
1516C4⋊C4—21no—
1517C4⋊C4—21no—
1518C4⋊C4—21no—
1519C4⋊C4—21no—
1520C4⋊C4—21no—
1521C4⋊C4—21no—
1522C4⋊C4—111no—
1523C4⋊C4—111no—
1524C4⋊C4—111no—
1525C4⋊C4—111no—
1526C4⋊C4—111no—
1527C4⋊C4—111no—
1528C4⋊C4—111no—
1529C4⋊C4—111no—
1530C4⋊C4—111no—
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⋊C4D4×D1111yescharacteristic
1544C4⋊C4D4×D1111yescharacteristic
1545C4⋊C4D4×D1111yescharacteristic
1546C4⋊C4C23×D1111yescharacteristic
1547C4⋊C4C23×D1111yescharacteristic
1548C4⋊C4C23×D1111yescharacteristic
1549C4⋊C4C23×D1111yescharacteristic
1550C22⋊C4—21no—
1551C22⋊C4—21no—
1552C22⋊C4—21no—
1553C22⋊C4—21no—
1554C22⋊C4—21no—
1555C22⋊C4—21no—
1556C22⋊C4—111no—
1557C22⋊C4—111no—
1558C22⋊C4—111no—
1559C22⋊C4—111no—
1560C22⋊C4—111no—
1561C22⋊C4—111no—
1562C22⋊C4—111no—
1563C22⋊C4—111no—
1564C22⋊C4—111no—
1565C22⋊C4—111no—
1566C22⋊C4—221no—
1567C22⋊C4—221no—
1568C22⋊C4—221no—
1569C22⋊C4—221no—
1570C22⋊C4—221no—
1571C22⋊C4—221no—
1572C22⋊C4—221no—
1573C22⋊C4—221no—
1574C22⋊C4—221no—
1575C22⋊C4—221no—
1576C22⋊C4—221no—
1577C22⋊C4—221no—
1578C22⋊C4—221no—
1579C22⋊C4—221no—
1580C22⋊C4—221no—
1581C22⋊C4—221no—
1582C22⋊C4—221no—
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—
1596C42—21no—
1597C42—21no—
1598C42—21no—
1599C42—21no—
1600C42—111no—
1601C42—111no—
1602C42—111no—
1603C42—221no—
1604C42—221no—
1605C42—221no—
1606C42—221no—
1607C42C23×D1111yescharacteristic
1608C42C23×D1111yescharacteristic
1609C42C23×D1111yescharacteristic
1610C11#6202211yescharacteristic, complemented, Sylow
1611C23—21no—
1612C23—21no—
1613C23—111no—
1614C23—111no—
1615C23—111no—
1616C23—221no—
1617C23—221no—
1618C23—221no—
1619C23—221no—
1620C23—442no—
1621C23—881no—
1622C23—881no—
1623C23—881no—
1624C23—881no—
1625C23—881no—
1626C23—881no—
1627C23—881no—
1628C23—881no—
1629Q8—21no—
1630Q8—21no—
1631Q8—21no—
1632Q8—41no—
1633Q8—81no—
1634Q8—81no—
1635Q8—81no—
1636Q8—221no—
1637Q8—221no—
1638Q8—221no—
1639Q8—221no—
1640Q8—442no—
1641Q8—881no—
1642Q8—881no—
1643Q8#6704212yes—
1644D4—21no—
1645D4—21no—
1646D4—21no—
1647D4—21no—
1648D4—81no—
1649D4—81no—
1650D4—222no—
1651D4—222no—
1652D4—221no—
1653D4—221no—
1654D4—221no—
1655D4—221no—
1656D4—221no—
1657D4—221no—
1658D4—221no—
1659D4—221no—
1660D4—441no—
1661D4—442no—
1662D4—442no—
1663D4—442no—
1664D4—442no—
1665D4—442no—
1666D4—442no—
1667D4—442no—
1668D4—881no—
1669D4—881no—
1670D4—881no—
1671D4—881no—
1672D4—881no—
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—21no—
1687C2×C4—21no—
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—441no—
1707C2×C4—442no—
1708C2×C4—442no—
1709C2×C4—442no—
1710C2×C4—442no—
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×C4C2×D4×D1111yescharacteristic
1723C2×C4C2×D4×D1111yescharacteristic
1724C2×C4C2×D4×D1111yescharacteristic
1725C2×C4C2×D4×D1111yescharacteristic
1726C2×C4C2×D4×D1111yescharacteristic
1727C2×C4C2×D4×D1111yescharacteristic
1728C2×C4C24×D1111yescharacteristic
1729C8—21no—
1730C8—21no—
1731C8—21no—
1732C8—21no—
1733C8—221no—
1734C8—221no—
1735C8—221no—
1736C8—221no—
1737C22—41no—
1738C22—41no—
1739C22—41no—
1740C22—41no—
1741C22—41no—
1742C22—41no—
1743C22—112no—
1744C22—221no—
1745C22—221no—
1746C22—221no—
1747C22—221no—
1748C22—221no—
1749C22—221no—
1750C22—221no—
1751C22—221no—
1752C22—441no—
1753C22—441no—
1754C22—441no—
1755C22—441no—
1756C22—441no—
1757C22—441no—
1758C22—441no—
1759C22—441no—
1760C22—441no—
1761C22—441no—
1762C22—441no—
1763C22—441no—
1764C22—1762no—
1765C22—1762no—
1766C22—1762no—
1767C22C22×D4×D1111yescharacteristic
1768C4—21no—
1769C4—21no—
1770C4—21no—
1771C4—22no—
1772C4—21no—
1773C4—21no—
1774C4—21no—
1775C4—41no—
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—
1789C4C2×#6704211yescharacteristic
1790C4#1062345711yescharacteristic
1791C2—81no—
1792C2—81no—
1793C2—222no—
1794C2—441no—
1795C2—441no—
1796C2—881no—
1797C2—881no—
1798C2—881no—
1799C2—881no—
1800C2#1308228211yescharacteristic
1801C2D11×#57611yescharacteristic
1802C2#1308339911yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3375C2
socleC22×C11C23×D4
hypercenter#3375D11
hypocenterC11#62022
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×Q8 ◁ #3375

Complements

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

NH ≅ G/Ntype
1. #13083136C2semidirect
2. #13082702C2semidirect
3. #13081706C2semidirect
4. #13081700C2semidirect
5. #13081430C2semidirect
6. #13080696C2semidirect
7. #13080694C2semidirect
8. #13080606C2semidirect
9. #13080604C2semidirect
10. #13080428C2semidirect
11. #13080426C2semidirect
12. #13080358C2semidirect
13. #13080352C2semidirect
14. #13080158C2semidirect
15. #13080151C2semidirect
16. #13080113C2semidirect
17. #13080106C2semidirect
18. #13080079C2semidirect
19. #13080076C2semidirect
20. #13079925C2semidirect
21. #13079713C2semidirect
22. #13079711C2semidirect
23. #13079604C2semidirect
24. #13078884C2semidirect
25. #13078876C2semidirect
26. #13078736C2semidirect
27. #13078158C2semidirect
28. #13078152C2semidirect
29. D11×#464C2semidirect
30. #13077754C2semidirect
31. C11×#3375C2semidirect
33. Q82×C11C22semidirect
34. C2×#66972C22semidirect
35. C2×Q16×D11C22semidirect
36. C2×#66969C22semidirect
37. C2×#66967C22semidirect
38. C2×#66967C22semidirect
42. #10623264C22semidirect
43. #10623264C22semidirect
45. #10623261C22semidirect
48. #10623257C22semidirect
49. #10623257C22semidirect
51. #10623256C22semidirect
66. #10623116C22semidirect
70. #10623108C22semidirect
72. #10623107C22semidirect
73. #10623107C22semidirect
74. #10623105C22semidirect
75. #10623105C22semidirect
76. C4×Q8×D11C22semidirect
83. C11×#489C22semidirect
84. C11×#489C22semidirect
86. C11×#477C22semidirect
87. C11×#474C22semidirect
88. C11×#474C22semidirect
89. C11×#464C22semidirect
90. C11×#464C22semidirect
92. C11×#446C22semidirect
93. C11×#440C22semidirect
94. C11×#440C22semidirect
95. C4×C11×Q16C22semidirect
96. #10622800C22semidirect
97. #10622798C22semidirect
99. #10622783C22semidirect
100. #10622779C22semidirect
101. #10622776C22semidirect
102. #10622704C22semidirect
103. #10622702C22semidirect
104. #10622702C22semidirect
106. #10622700C22semidirect
107. #10622700C22semidirect
110. #10622672C22semidirect
111. #10622671C22semidirect
112. #10622670C22semidirect
113. #10622667C22semidirect
114. C4×#4326C22semidirect
115. #10622641C22semidirect
116. #10622641C22semidirect
117. #10622641C22semidirect
119. #10622639C22semidirect
120. #10622639C22semidirect
121. #10622639C22semidirect
122. #10622637C22semidirect
123. #10622631C22semidirect
124. #10622629C22semidirect
125. #10622628C22semidirect
126. C4×#4323C22semidirect
127. #10622503C22semidirect
128. #10622503C22semidirect
129. #10622500C22semidirect
131. #10622499C22semidirect
132. #10622497C22semidirect
134. #10622496C22semidirect
135. #10622496C22semidirect
137. #10622495C22semidirect
138. #10622488C22semidirect
139. #10622458C22semidirect
140. #10622458C22semidirect
141. #10622457C22semidirect
142. #10622457C22semidirect
144. #10622456C22semidirect
145. #10622452C22semidirect
146. #10622452C22semidirect
147. #10622449C22semidirect
148. #10622449C22semidirect
149. #10622447C22semidirect
150. D11×C4⋊C8C22semidirect
151. #10622432C22semidirect
152. #10622432C22semidirect
153. #10622426C22semidirect
154. #10622425C22semidirect
156. #10622424C22semidirect
157. #10622423C22semidirect
158. #10622423C22semidirect
159. #10622422C22semidirect
160. #10622419C22semidirect
161. #10622419C22semidirect
162. #10622419C22semidirect
163. #10622416C22semidirect
164. D11×#103C22semidirect
165. #10622411C22semidirect
166. #10622407C22semidirect
167. #10622400C22semidirect
168. #10622400C22semidirect
169. #10622399C22semidirect
170. #10622399C22semidirect
171. #10622396C22semidirect
172. #10622394C22semidirect
174. #10622389C22semidirect
175. #10622389C22semidirect
177. #10622388C22semidirect
178. #10622388C22semidirect
180. #10622387C22semidirect
183. #10622386C22semidirect
184. #10622386C22semidirect
185. #10622384C22semidirect
187. D11×#102C22semidirect
188. D11×#102C22semidirect
189. #10622380C22semidirect
190. #10622375C22semidirect
192. #10622325C22semidirect
193. #10622323C22semidirect
194. #10622323C22semidirect
195. #10622322C22semidirect
196. #10622319C22semidirect
197. #10622319C22semidirect
198. #10622318C22semidirect
199. #10622309C22semidirect
200. C4×D88C22semidirect
201. #10622303C22semidirect
202. C8×D44C22semidirect
715. #3375D11semidirect
879. Q82C2×D11semidirect
926. #489C2×D11semidirect
927. #489C2×D11semidirect
939. #477C2×D11semidirect
944. #474C2×D11semidirect
945. #474C2×D11semidirect
968. #464C2×D11semidirect
969. #464C2×D11semidirect
1007. #446C2×D11semidirect
1014. #440C2×D11semidirect
1015. #440C2×D11semidirect
1017. C4×Q16C2×D11semidirect
1610. C11#62022semidirect

Maximal subgroups

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

subgroupindex
#130831362
#130827022
#130817062
#130817002
#130814302
#130806962
#130806942
#130806062
#130806042
#130804282
#130804262
#130803582
#130803522
#130801582
#130801512
#130801132
#130801062
#130800792
#130800762
#130799252
#130797132
#130797112
#130796042
#130788842
#130788762
#130787362
#130781582
#130781522
D11×#4642
#130777542
C11×#33752
#6202211