Finite Group Databasebeta

← #15636655

Subgroups — #15636655

Order 2816.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082616C211yesmaximal, characteristic, complemented
2#13082575C211yesmaximal, characteristic, complemented
3#13081653C211yesmaximal, characteristic, complemented
4#13081540C211yesmaximal, characteristic, complemented
5#13081307C211yesmaximal, characteristic, complemented
6#13081250C211yesmaximal, characteristic, complemented
7#13081193C211yesmaximal, characteristic, complemented
8#13081123C211yesmaximal, characteristic, complemented
9#13081119C211yesmaximal, characteristic, complemented
10#13080563C211yesmaximal, characteristic, complemented
11#13080559C211yesmaximal, characteristic, complemented
12#13080548C211yesmaximal, characteristic, complemented
13#13080473C211yesmaximal, characteristic, complemented
14#13080464C211yesmaximal, characteristic, complemented
15#13080427C211yesmaximal, characteristic, complemented
16#13080229C211yesmaximal, characteristic, complemented
17#13080159C211yesmaximal, characteristic, complemented
18#13080151C211yesmaximal, characteristic, complemented
19#13079297C211yesmaximal, characteristic, complemented
20#13079293C211yesmaximal, characteristic, complemented
21#13079192C211yesmaximal, characteristic, complemented
22#13078884C211yesmaximal, characteristic, complemented
23#13078860C211yesmaximal, characteristic, complemented
24#13078856C211yesmaximal, characteristic, complemented
25#13078765C211yesmaximal, characteristic, complemented
26#13078765C211yesmaximal, characteristic, complemented
27#13077589C211yesmaximal, characteristic, complemented
28#13077447C211yesmaximal, characteristic, complemented
29#13077444C211yesmaximal, characteristic, complemented
30C4×#66972C211yesmaximal, characteristic, complemented
31C11×#3124C211yesmaximal, characteristic, complemented
32C11×#542C2211yescharacteristic
33C11×#520C2211yescharacteristic, complemented
34#10623365C2211yescharacteristic
35#10623365C2211yescharacteristic, complemented
36C2×#67002C2211yescharacteristic
37C2×#66972C2211yescharacteristic
38C2×#66967C2211yescharacteristic
39#10623265C2211yescharacteristic
40#10623258C2211yescharacteristic
41#10623237—21no—
42#10623235—21no—
43#10623212C2211yescharacteristic
44#10623209—21no—
45#10623207C2211yescharacteristic
46D11×#124—21no—
47#10623190—21no—
48#10623185—21no—
49#10623172C2211yescharacteristic
50#10623168—21no—
51#10623164—21no—
52#10623161C2211yescharacteristic
53#10623147C2211yescharacteristic
54#10623140C2211yescharacteristic
55#10623113C2211yescharacteristic
56#10623108C2211yescharacteristic, complemented
57#10623105C2211yescharacteristic, complemented
58C4×#4343C2211yescharacteristic
59C4×#4343C2211yescharacteristic, complemented
60#10623100C2211yescharacteristic, complemented
61#10623093—21no—
62#10623093C2211yescharacteristic, complemented
63#10623089—21no—
64#10623089C2211yescharacteristic, complemented
65#10623084—21no—
66#10623084C2211yescharacteristic, complemented
67#10623079—21no—
68#10623079C2211yescharacteristic
69#10623079C2211yescharacteristic, complemented
70#10623076C2211yescharacteristic
71#10623066—21no—
72#10623066C2211yescharacteristic, complemented
73#10623059—21no—
74#10623059C2211yescharacteristic
75#10623052C2211yescharacteristic
76#10623045—21no—
77#10623045C2211yescharacteristic, complemented
78#10623038—21no—
79#10623038C2211yescharacteristic
80C11×#484C2211yescharacteristic, complemented
81C11×#480C2211yescharacteristic
82C11×#477C2211yescharacteristic, complemented
83C11×#474C2211yescharacteristic, complemented
84C11×#464C2211yescharacteristic, complemented
85C11×#463C2211yescharacteristic, complemented
86C11×#452C2211yescharacteristic, complemented
87C11×#449C2211yescharacteristic
88C11×#440C2211yescharacteristic, complemented
89C11×#440C2211yescharacteristic, complemented
90C4×C11×Q16C2211yescharacteristic, complemented
91C4×C11×D8C2211yescharacteristic, complemented
92C11×#433C2211yescharacteristic, complemented
93#10622846C2211yescharacteristic, complemented
94#10622800C2211yescharacteristic, complemented
95#10622798C2211yescharacteristic, complemented
96Q16×Dic11C2211yescharacteristic, complemented
97#10622789C2211yescharacteristic, complemented
98#10622785C2211yescharacteristic
99#10622785C2211yescharacteristic, complemented
100#10622784C2211yescharacteristic, complemented
101#10622776C2211yescharacteristic
102#10622776C2211yescharacteristic, complemented
103SD16×Dic11C2211yescharacteristic, complemented
104#10622770C2211yescharacteristic, complemented
105#10622769C2211yescharacteristic
106#10622764C2211yescharacteristic
107#10622763C2211yescharacteristic, complemented
108#10622701C2211yescharacteristic, complemented
109#10622693C2211yescharacteristic, complemented
110#10622671C2211yescharacteristic, complemented
111#10622669C2211yescharacteristic, complemented
112#10622662C2211yescharacteristic, complemented
113#10622661C2211yescharacteristic, complemented
114#10622652C2211yescharacteristic
115#10622651C2211yescharacteristic
116#10622639C2211yescharacteristic
117#10622639C2211yescharacteristic, complemented
118#10622639C2211yescharacteristic, complemented
119C4×#4325C2211yescharacteristic
120C4×#4325C2211yescharacteristic, complemented
121C4×#4325C2211yescharacteristic, complemented
122#10622627C2211yescharacteristic
123#10622627C2211yescharacteristic, complemented
124#10622627C2211yescharacteristic, complemented
125C4×#4323C2211yescharacteristic
126C4×#4323C2211yescharacteristic, complemented
127C4×#4323C2211yescharacteristic, complemented
128#10622610C2211yescharacteristic, complemented
129C2×#66873C2211yescharacteristic
130#10622577C2211yescharacteristic, complemented
131#10622504C2211yescharacteristic
132#10622503C2211yescharacteristic
133#10622503C2211yescharacteristic, complemented
134#10622503C2211yescharacteristic, complemented
135#10622498C2211yescharacteristic, complemented
136#10622498C2211yescharacteristic, complemented
137#10622498C2211yescharacteristic, complemented
138#10622496C2211yescharacteristic
139#10622496C2211yescharacteristic, complemented
140#10622495C2211yescharacteristic
141#10622494C2211yescharacteristic, complemented
142#10622493C2211yescharacteristic, complemented
143#10622489C2211yescharacteristic, complemented
144#10622487C2211yescharacteristic, complemented
145#10622485C2211yescharacteristic
146#10622485C2211yescharacteristic
147#10622460C2211yescharacteristic
148#10622460C2211yescharacteristic, complemented
149#10622456C2211yescharacteristic
150#10622456C2211yescharacteristic, complemented
151#10622449C2211yescharacteristic, complemented
152#10622447C2211yescharacteristic, complemented
153#10622443C2211yescharacteristic, complemented
154#10622441C2211yescharacteristic, complemented
155#10622432C2211yescharacteristic, complemented
156#10622430C2211yescharacteristic
157#10622425C2211yescharacteristic, complemented
158#10622424C2211yescharacteristic
159#10622424C2211yescharacteristic
160#10622424C2211yescharacteristic, complemented
161#10622422C2211yescharacteristic, complemented
162#10622417C2211yescharacteristic
163#10622417C2211yescharacteristic, complemented
164#10622417C2211yescharacteristic, complemented
165#10622413C2211yescharacteristic, complemented
166#10622407C2211yescharacteristic, complemented
167#10622404C2211yescharacteristic, complemented
168#10622404C2211yescharacteristic, complemented
169#10622401C2211yescharacteristic
170#10622401C2211yescharacteristic, complemented
171#10622399C2211yescharacteristic
172#10622399C2211yescharacteristic
173#10622399C2211yescharacteristic
174#10622398C2211yescharacteristic, complemented
175#10622397C2211yescharacteristic, complemented
176#10622395C2211yescharacteristic
177#10622392C2211yescharacteristic, complemented
178#10622392C2211yescharacteristic, complemented
179#10622388C2211yescharacteristic, complemented
180#10622388C2211yescharacteristic, complemented
181#10622386C2211yescharacteristic
182D11×#102C2211yescharacteristic
183#10622379C2211yescharacteristic, complemented
184#10622373C2211yescharacteristic
185#10622373C2211yescharacteristic, complemented
186#10622373C2211yescharacteristic, complemented
187#10622350C2211yescharacteristic, complemented
188#10622350C2211yescharacteristic, complemented
189#10622345C2211yescharacteristic
190#10622345C2211yescharacteristic
191#10622342C2211yescharacteristic
192#10622341C2211yescharacteristic, complemented
193(C22⋊D11)⋊C8C2211yescharacteristic
194(C22⋊D11)⋊C8C2211yescharacteristic, complemented
195#10622324C2211yescharacteristic
196#10622324C2211yescharacteristic, complemented
197#10622321C2211yescharacteristic, complemented
198#10622318C2211yescharacteristic, complemented
199C4×D88C2211yescharacteristic
200C4×D88C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic, complemented
202C4×C8×D11C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×#4343C2311yescharacteristic
205C2×#4343C2311yescharacteristic
206C2×#4343C2311yescharacteristic
207C2×Q8×D11—21no—
208C2×D4×D11—21no—
209C2×D4×D11C2311yescharacteristic
210C2×#4339—21no—
211C2×#4339—21no—
212C2×#4339—21no—
213C2×#4339—21no—
214C22×D44C2311yescharacteristic
215C2×C11×Q16C2311yescharacteristic
216C2×C11×SD16C2311yescharacteristic
217C2×C11×SD16C2311yescharacteristic
218C2×C11×D8C2311yescharacteristic
219C11×C4⋊Q8C2311yescharacteristic
220C11×#126—21no—
221C11×#124—21no—
222C11×#124C2311yescharacteristic
223C11×#123—21no—
224C11×C22⋊Q8—21no—
225C11×C22⋊Q8C2311yescharacteristic
226C11×#121C2311yescharacteristic
227C4×Q8×C11C2311yescharacteristic
228C4×Q8×C11C2311yescharacteristic
229C4×Q8×C11C2311yescharacteristic
230C4×D4×C11—21no—
231C4×D4×C11—21no—
232C4×D4×C11C2311yescharacteristic
233C4×D4×C11C2311yescharacteristic
234C4×D4×C11C2311yescharacteristic
235C11×#117—21no—
236C11×#117C2311yescharacteristic
237C2×C11×C4⋊C4—21no—
238C2×C11×C4⋊C4C2311yescharacteristic
239#67002—24no—
240#67000—21no—
241#67000—21no—
242#67000C2311yescharacteristic
243#66999—21no—
244#66999C2311yescharacteristic
245Q8×Dic11C2311yescharacteristic
246Q8×Dic11C2311yescharacteristic
247Q8×Dic11C2311yescharacteristic
248C2×#4325C2311yescharacteristic
249C2×#4325C2311yescharacteristic
250C2×#4325C2311yescharacteristic
251C2×#4325C2311yescharacteristic
252#66993—21no—
253#66993—21no—
254#66993C2311yescharacteristic
255#66993C2311yescharacteristic
256#66993C2311yescharacteristic
257#66992—21no—
258#66991—21no—
259#66991—21no—
260#66991C2311yescharacteristic
261#66991C2311yescharacteristic
262#66991C2311yescharacteristic
263#66990—21no—
264#66989—21no—
265D4×Dic11C2311yescharacteristic
266C2×#4323C2311yescharacteristic
267C2×#4323C2311yescharacteristic
268C2×#4323C2311yescharacteristic
269C2×#4323C2311yescharacteristic
270#66983—21no—
271#66983—21no—
272#66983—21no—
273#66983—21no—
274#66983—21no—
275#66983C2311yescharacteristic
276#66983C2311yescharacteristic
277#66982—21no—
278#66982—21no—
279#66982—21no—
280C4×C22⋊D11—21no—
281C4×C22⋊D11—21no—
282C4×C22⋊D11—21no—
283C4×C22⋊D11—21no—
284C4×C22⋊D11—21no—
285C4×C22⋊D11—21no—
286C4×C22⋊D11—21no—
287C4×C22⋊D11C2311yescharacteristic
288C4×C22⋊D11C2311yescharacteristic
289C2×(C2×D11)⋊C4—21no—
290#66979C2311yescharacteristic
291C2×#4318C2311yescharacteristic
292C22×C11⋊C8C2311yescharacteristic
293#66972—24no—
294#66967—24no—
295C2×D88C2311yescharacteristic
296C2×D88C2311yescharacteristic
297C2×D88C2311yescharacteristic
298C2×D88C2311yescharacteristic
299C2×#4313C2311yescharacteristic
300C2×C8×D11C2311yescharacteristic
301C2×C8×D11C2311yescharacteristic
302C2×C8×D11C2311yescharacteristic
303#66951—21no—
304#66951—21no—
305#66951D411yescharacteristic
306#66949—21no—
307#66949—21no—
308#66949—21no—
309#66949—21no—
310#66949D411yescharacteristic
311#66948—21no—
312#66948—21no—
313#66948—21no—
314#66948—21no—
315#66948C2311yescharacteristic
316#66948C2311yescharacteristic
317#66948C2311yescharacteristic
318#66948C2311yescharacteristic
319#66947—21no—
320#66947—21no—
321#66947—21no—
322#66947—21no—
323#66947—21no—
324#66947—21no—
325#66947D411yescharacteristic
326#66946—21no—
327#66946—21no—
328#66946—21no—
329#66946—21no—
330#66946—21no—
331#66946C2311yescharacteristic
332#66946C2311yescharacteristic
333#66946C2311yescharacteristic
334#66946C2311yescharacteristic
335#66945—21no—
336#66945—21no—
337#66945—21no—
338#66945C2311yescharacteristic
339#66945C2311yescharacteristic
340#66945C2311yescharacteristic
341C4⋊C4×D11—21no—
342C4⋊C4×D11C2311yescharacteristic
343#66943—21no—
344#66943C2311yescharacteristic
345#66942D411yescharacteristic
346#66941—21no—
347#66941C2311yescharacteristic
348#66941C2311yescharacteristic
349#66941C2311yescharacteristic
350#66940—21no—
351#66939—21no—
352#66938—21no—
353#66938—21no—
354#66938—21no—
355#66938—21no—
356#66938—21no—
357#66938D411yescharacteristic
358#66937—21no—
359#66937—21no—
360#66937—21no—
361#66937—21no—
362#66937—21no—
363#66937—21no—
364#66937—21no—
365#66937—21no—
366#66937—21no—
367#66937—21no—
368#66937D411yescharacteristic
369#66936—21no—
370#66936—21no—
371#66936—21no—
372#66936D411yescharacteristic
373#66935—21no—
374#66935—21no—
375#66935—21no—
376(C22⋊D11)⋊C4—21no—
377(C22⋊D11)⋊C4—21no—
378C22⋊C4×D11—21no—
379C22⋊C4×D11—21no—
380C22⋊C4×D11—21no—
381C22⋊C4×D11—21no—
382C22⋊C4×D11—21no—
383#66932—21no—
384#66932—21no—
385#66932D411yescharacteristic
386#66930—21no—
387#66929—21no—
388#66928—21no—
389#66927—21no—
390#66927C2311yescharacteristic
391C4×D44—21no—
392C4×D44—21no—
393C4×D44—21no—
394C4×D44—21no—
395C4×D44C2311yescharacteristic
396C4×D44C2311yescharacteristic
397C4×D44C2311yescharacteristic
398C4×D44C2311yescharacteristic
399C4×D44C2311yescharacteristic
400C4×D44C2311yescharacteristic
401C4×D44C2311yescharacteristic
402#66925—21no—
403#66925C2311yescharacteristic
404C42×D11—21no—
405C42×D11—21no—
406C42×D11C2311yescharacteristic
407#66923—21no—
408#66923C2311yescharacteristic
409C4×Dic22—21no—
410C4×Dic22C2311yescharacteristic
411C11×#107C2311yescharacteristic
412C11×#107C2311yescharacteristic
413C11×#107C2311yescharacteristic
414C11×#107C2311yescharacteristic
415C11×C4⋊C8C2311yescharacteristic
416C11×C4⋊C8C2311yescharacteristic
417C11×#103C2311yescharacteristic
418C11×#103C2311yescharacteristic
419C11×#103C2311yescharacteristic
420C11×#103C2311yescharacteristic
421C11×#102C2311yescharacteristic
422C11×#102C2311yescharacteristic
423C11×#102C2311yescharacteristic
424C11×#102C2311yescharacteristic
425C11×C22⋊C8C2311yescharacteristic
426C11×C22⋊C8C2311yescharacteristic
427C11×#97C2311yescharacteristic
428C4×C8×C11C2311yescharacteristic
429#66899C2311yescharacteristic
430#66899C2311yescharacteristic
431#66899C2311yescharacteristic
432#66899C2311yescharacteristic
433#66896C2311yescharacteristic
434#66896C2311yescharacteristic
435#66896C2311yescharacteristic
436#66896C2311yescharacteristic
437#66885C2311yescharacteristic
438#66885C2311yescharacteristic
439#66885C2311yescharacteristic
440#66885C2311yescharacteristic
441#66885C2311yescharacteristic
442#66885C2311yescharacteristic
443#66885C2311yescharacteristic
444#66885C2311yescharacteristic
445(C2×D11)⋊C8C2311yescharacteristic
446(C2×D11)⋊C8C2311yescharacteristic
447(C2×D11)⋊C8C2311yescharacteristic
448(C2×D11)⋊C8C2311yescharacteristic
449#66882C2311yescharacteristic
450#66882C2311yescharacteristic
451#66881C2311yescharacteristic
452#66881C2311yescharacteristic
453#66879C2311yescharacteristic
454Dic11⋊C8C2311yescharacteristic
455Dic11⋊C8C2311yescharacteristic
456Dic11⋊C8C2311yescharacteristic
457Dic11⋊C8C2311yescharacteristic
458C8×Dic11C2311yescharacteristic
459C8×Dic11C2311yescharacteristic
460C8×Dic11C2311yescharacteristic
461#66873C2311yescharacteristic
462#66873C2311yescharacteristic
463#66873C2311yescharacteristic
464#66873C2311yescharacteristic
465#66873C2311yescharacteristic
466#66873C2311yescharacteristic
467#66873C2311yescharacteristic
468#66873C2311yescharacteristic
469#66872C2311yescharacteristic
470#66872C2311yescharacteristic
471#66872C2311yescharacteristic
472#66872C2311yescharacteristic
473#66871C2311yescharacteristic
474#66871C2311yescharacteristic
475#66871C2311yescharacteristic
476#66871C2311yescharacteristic
477#66867C2311yescharacteristic
478#66867C2311yescharacteristic
479C4×C11⋊C8C2311yescharacteristic
480C4×C11⋊C8C2311yescharacteristic
481#61494—111nomaximal, Sylow
482C23×D11—21no—
483C23×D11—21no—
484C11×#41—22no—
485C11×#41—41no—
486C2×Q8×C11—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×C11—21no—
496C22×C4×C11—21no—
497C22×C4×C11—21no—
498C22×C4×C11C2411yescharacteristic
499C2×C22⋊D11—21no—
500C2×C22⋊D11—21no—
501C2×C22⋊D11—21no—
502C2×C22⋊D11—21no—
503C2×C22⋊D11—21no—
504C2×C22⋊D11—21no—
505C2×C22⋊D11—21no—
506C2×C22⋊D11—21no—
507C2×C22⋊D11—21no—
508C2×C22⋊D11—21no—
509C2×C22⋊D11—21no—
510C2×C22⋊D11—21no—
511C2×C22⋊D11C2×D411yescharacteristic
512C2×C22⋊D11C2×D411yescharacteristic
513C22×Dic11—21no—
514#4343—22no—
515#4343—22no—
516#4343—22no—
517#4343—41no—
518#4343—41no—
519#4343—41no—
520Q8×D11—82no—
521D4×D11—22no—
522D4×D11—41no—
523D4×D11—82no—
524#4339—82no—
525#4339—82no—
526#4339—82no—
527#4339—82no—
528C2×D44—21no—
529C2×D44—21no—
530C2×D44—21no—
531C2×D44—21no—
532C2×D44—21no—
533C2×D44—21no—
534C2×D44—21no—
535C2×D44—22no—
536C2×D44—21no—
537C2×D44—21no—
538C2×D44—21no—
539C2×D44—41no—
540C2×D44C2×D411yescharacteristic
541C2×D44C2411yescharacteristic
542C2×D44C2411yescharacteristic
543C2×D44C2411yescharacteristic
544C2×D44C2411yescharacteristic
545C2×C4×D11—21no—
546C2×C4×D11—21no—
547C2×C4×D11—21no—
548C2×C4×D11—21no—
549C2×C4×D11—21no—
550C2×C4×D11—21no—
551C2×C4×D11—21no—
552C2×C4×D11—21no—
553C2×C4×D11—21no—
554C2×C4×D11—21no—
555C2×C4×D11—21no—
556C2×C4×D11—21no—
557C2×C4×D11—21no—
558C2×C4×D11—21no—
559C2×C4×D11C2×D411yescharacteristic
560C2×C4×D11C2×D411yescharacteristic
561C2×C4×D11C2411yescharacteristic
562C2×C4×D11C2411yescharacteristic
563C2×Dic22—21no—
564C2×Dic22—21no—
565C2×Dic22—21no—
566C2×Dic22C2×D411yescharacteristic
567C11×Q16—22no—
568C11×SD16—22no—
569C11×SD16—41no—
570C11×D8—41no—
571C2×C8×C11C2411yescharacteristic
572C2×C8×C11C2411yescharacteristic
573C2×C8×C11C2411yescharacteristic
574C2×C8×C11C2411yescharacteristic
575C11×C4⋊C4—21no—
576C11×C4⋊C4—21no—
577C11×C4⋊C4—21no—
578C11×C4⋊C4—21no—
579C11×C4⋊C4—21no—
580C11×C4⋊C4—21no—
581C11×C4⋊C4C2×D411yescharacteristic
582C11×C4⋊C4C2×D411yescharacteristic
583C11×C4⋊C4C2411yescharacteristic
584C11×C4⋊C4C2411yescharacteristic
585C11×C4⋊C4C2411yescharacteristic
586C11×C4⋊C4C2411yescharacteristic
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—
594C11×C22⋊C4C2×D411yescharacteristic
595C11×C22⋊C4C2×D411yescharacteristic
596C42×C11—21no—
597C42×C11—21no—
598C42×C11—21no—
599C42×C11C2411yescharacteristic
600C42×C11C2411yescharacteristic
601C22⋊Dic11—21no—
602C22⋊Dic11—21no—
603C22⋊Dic11—21no—
604C22⋊Dic11—21no—
605C22⋊Dic11—21no—
606C22⋊Dic11C2×D411yescharacteristic
607C22⋊Dic11C2×D411yescharacteristic
608#4325—22no—
609#4325—22no—
610#4325—41no—
611#4325#4114yescomplemented
612#4323—22no—
613#4323—22no—
614#4323—22no—
615#4323—41no—
616(C2×D11)⋊C4—21no—
617(C2×D11)⋊C4—21no—
618(C2×D11)⋊C4—21no—
619(C2×D11)⋊C4—21no—
620(C2×D11)⋊C4—21no—
621(C2×D11)⋊C4—21no—
622(C2×D11)⋊C4—21no—
623(C2×D11)⋊C4—21no—
624(C2×D11)⋊C4—21no—
625(C2×D11)⋊C4—21no—
626(C2×D11)⋊C4—21no—
627(C2×D11)⋊C4—21no—
628(C2×D11)⋊C4—21no—
629(C2×D11)⋊C4—21no—
630(C2×D11)⋊C4—21no—
631(C2×D11)⋊C4—21no—
632(C2×D11)⋊C4—21no—
633(C2×D11)⋊C4—21no—
634(C2×D11)⋊C4—21no—
635(C2×D11)⋊C4—21no—
636(C2×D11)⋊C4—21no—
637(C2×D11)⋊C4—21no—
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⋊Dic11C2×D411yescharacteristic
649C4⋊Dic11C2×D411yescharacteristic
650C4⋊Dic11C2411yescharacteristic
651C4⋊Dic11C2411yescharacteristic
652C4⋊Dic11C2411yescharacteristic
653C4⋊Dic11C2411yescharacteristic
654Dic11⋊C4—21no—
655Dic11⋊C4—21no—
656Dic11⋊C4—21no—
657Dic11⋊C4—21no—
658Dic11⋊C4—21no—
659Dic11⋊C4—21no—
660Dic11⋊C4—21no—
661Dic11⋊C4—21no—
662Dic11⋊C4C2×D411yescharacteristic
663Dic11⋊C4C2×D411yescharacteristic
664Dic11⋊C4C2×D411yescharacteristic
665Dic11⋊C4C2×D411yescharacteristic
666Dic11⋊C4C2×D411yescharacteristic
667Dic11⋊C4C2×D411yescharacteristic
668C4×Dic11—21no—
669C4×Dic11—21no—
670C4×Dic11—21no—
671C4×Dic11—21no—
672C4×Dic11—21no—
673C4×Dic11—21no—
674C4×Dic11—21no—
675C4×Dic11C2×D411yescharacteristic
676C4×Dic11C2×D411yescharacteristic
677C4×Dic11C2411yescharacteristic
678C4×Dic11C2411yescharacteristic
679#4318—22no—
680C2×C11⋊C8—41no—
681C2×C11⋊C8C2411yescharacteristic
682C2×C11⋊C8C2411yescharacteristic
683C2×C11⋊C8C2411yescharacteristic
684C2×C11⋊C8C2411yescharacteristic
685D88—22no—
686D88—22no—
687D88—41no—
688D88—41no—
689#4313—22no—
690C8×D11—22no—
691C8×D11—41no—
692C8×D11—41no—
693#3517—111no—
694#3514—111no—
695#3399—111no—
696#3386—111no—
697#3365—111no—
698#3358—111no—
699#3353—111no—
700#3347—111no—
701#3347—111no—
702#3305—111no—
703#3305—111no—
704#3304—111no—
705#3297—111no—
706#3297—111no—
707#3294—111no—
708#3274—111no—
709#3268—111no—
710#3268—111no—
711#3179—111no—
712#3179—111no—
713#3169—111no—
714#3124—111no—
715#3124D1111yescharacteristic, complemented
716#3122—111no—
717#3122—111no—
718#3115—111no—
719#3115—111no—
720#2966—111no—
721#2946—111no—
722#2946—111no—
723C4×#135—111no—
724C23×C11—21no—
725C23×C11—21no—
726C23×C11C22×D411yescharacteristic
727C22×D11—21no—
728C22×D11—21no—
729C22×D11—21no—
730C22×D11—21no—
731C22×D11—42no—
732C22×D11—42no—
733C22×D11—81no—
734C22×D11—81no—
735C22×D11—81no—
736C22×D11—81no—
737C22×D11C22×D411yescharacteristic
738C22×D11C22×D411yescharacteristic
739Q8×C11—21no—
740Q8×C11—21no—
741Q8×C11—21no—
742Q8×C11—81no—
743Q8×C11C2×#4112yes—
744D4×C11—21no—
745D4×C11—21no—
746D4×C11—21no—
747D4×C11—21no—
748D4×C11—42no—
749D4×C11—81no—
750C2×C4×C11—21no—
751C2×C4×C11—21no—
752C2×C4×C11—21no—
753C2×C4×C11—21no—
754C2×C4×C11—21no—
755C2×C4×C11—21no—
756C2×C4×C11—21no—
757C2×C4×C11—21no—
758C2×C4×C11—42no—
759C2×C4×C11—81no—
760C2×C4×C11—81no—
761C2×C4×C11—81no—
762C2×C4×C11—81no—
763C2×C4×C11C22×D411yescharacteristic
764C2×C4×C11C22×D411yescharacteristic
765C2×C4×C11C22×D411yescharacteristic
766C2×C4×C11C22×D411yescharacteristic
767C2×C4×C11C22×D411yescharacteristic
768C2×C4×C11C2511yescharacteristic
769C22⋊D11—22no—
770C22⋊D11—41no—
771C22⋊D11—42no—
772C22⋊D11—42no—
773C22⋊D11—42no—
774C22⋊D11—81no—
775C22⋊D11—81no—
776C22⋊D11—81no—
777C22⋊D11—81no—
778C22⋊D11—81no—
779C22⋊D11—81no—
780C22⋊D11—81no—
781C22⋊D11—81no—
782C22⋊D11—81no—
783C2×Dic11—21no—
784C2×Dic11—21no—
785C2×Dic11—21no—
786C2×Dic11—21no—
787C2×Dic11—81no—
788C2×Dic11C22×D411yescharacteristic
789C2×Dic11C22×D411yescharacteristic
790C2×Dic11C22×D411yescharacteristic
791C2×Dic11C22×D411yescharacteristic
792C2×Dic11C22×D411yescharacteristic
793C2×Dic11C22×D411yescharacteristic
794D44—21no—
795D44—21no—
796D44—21no—
797D44—21no—
798D44—21no—
799D44—21no—
800D44—21no—
801D44—41no—
802D44—42no—
803D44—42no—
804D44—42no—
805D44—42no—
806D44—81no—
807D44—81no—
808D44—81no—
809D44—81no—
810D44—81no—
811D44—81no—
812D44C2×#4112yes—
813C4×D11—21no—
814C4×D11—21no—
815C4×D11—21no—
816C4×D11—21no—
817C4×D11—22no—
818C4×D11—41no—
819C4×D11—42no—
820C4×D11—42no—
821C4×D11—42no—
822C4×D11—42no—
823C4×D11—42no—
824C4×D11—81no—
825C4×D11—81no—
826C4×D11—81no—
827C4×D11—81no—
828C4×D11—81no—
829C4×D11—81no—
830C4×D11—81no—
831C4×D11—81no—
832C4×D11—81no—
833Dic22—22no—
834Dic22—42no—
835Dic22—42no—
836Dic22—81no—
837C8×C11—21no—
838C8×C11—21no—
839C8×C11—21no—
840C8×C11—21no—
841C11⋊C8—21no—
842C11⋊C8—21no—
843C11⋊C8—21no—
844C11⋊C8C2×#4112yes—
845C2×AGL(1,ℤ/8)—111no—
846C2×AGL(1,ℤ/8)—111no—
847C2×#135—111no—
848#559—111no—
849#557—111no—
850#556—111no—
851#555—111no—
852#555—111no—
853#553—111no—
854#553—111no—
855#553—221no—
856#553—221no—
857#551—221no—
858#551—221no—
859#550—111no—
860#550—111no—
861#550—111no—
862#550—111no—
863#550—221no—
864D4×Q8—111no—
865#548—221no—
866#547—111no—
867#547—221no—
868#546—111no—
869#546—111no—
870#546—221no—
871D42—111no—
872#542—111no—
873#542C2×D1111yescharacteristic
874#540—111no—
875#540—111no—
876#540—221no—
877#540—221no—
878#538—221no—
879#538—221no—
880#532—111no—
881#532—111no—
882#532—221no—
883#529—111no—
884#529—221no—
885#529—221no—
886C2×#124—221no—
887#520—111no—
888#520C2×D1111yescharacteristic, complemented
889#518—111no—
890#518—111no—
891C4×#41—111no—
892C4×#41—111no—
893#501—111no—
894#501—111no—
895#500—111no—
896#496—111no—
897#496—111no—
898#493—111no—
899#488—111no—
900#488—111no—
901#486—111no—
902#486—111no—
903#486—111no—
904#486—111no—
905#484—111no—
906#484C2×D1111yescharacteristic, complemented
907#482—111no—
908#482—111no—
909#482—111no—
910#482—111no—
911#482—111no—
912#482—111no—
913#482—111no—
914#482—111no—
915#480—111no—
916#480C2×D1111yescharacteristic
917#478—111no—
918#478—111no—
919#478—111no—
920#478—111no—
921#477—111no—
922#477C2×D1111yescharacteristic, complemented
923#475—111no—
924#475—111no—
925#474—111no—
926#474—111no—
927#474—111no—
928#474C2×D1111yescharacteristic, complemented
929#469—111no—
930#469—111no—
931#468—111no—
932#468—111no—
933#466—111no—
934#466—111no—
935#466—111no—
936#466—111no—
937#466—111no—
938#466—111no—
939#465—111no—
940#465—111no—
941#464—111no—
942#464C2×D1111yescharacteristic, complemented
943#463—111no—
944#463C2×D1111yescharacteristic, complemented
945#460—111no—
946#460—111no—
947#459—111no—
948#459—111no—
949#459—111no—
950#459—111no—
951#459—111no—
952#459—111no—
953#452—111no—
954#452C2×D1111yescharacteristic, complemented
955#449—111no—
956#449—111no—
957#449—111no—
958#449—111no—
959#449—111no—
960#449C2×D1111yescharacteristic
961#447—111no—
962#447—111no—
963#447—111no—
964#447—111no—
965#446—111no—
966C8×Q8—111no—
967#442—111no—
968#442—111no—
969#442—111no—
970#442—111no—
971#442—111no—
972#442—111no—
973#440—111no—
974#440—111no—
975#440—111no—
976#440—111no—
977#440C2×D1111yescharacteristic, complemented
978#440C2×D1111yescharacteristic, complemented
979C4×Q16—111no—
980C4×Q16C2×D1111yescharacteristic, complemented
981C4×SD16—111no—
982C4×SD16—111no—
983C4×SD16—111no—
984C4×SD16—111no—
985C4×SD16—111no—
986C4×SD16—111no—
987C4×D8—111no—
988C4×D8—111no—
989C4×D8—111no—
990C4×D8—111no—
991C4×D8—111no—
992C4×D8—111no—
993C4×D8—111no—
994C4×D8C2×D1111yescharacteristic, complemented
995#436—111no—
996#435—111no—
997#435—111no—
998C8×D4—111no—
999C8×D4—111no—
1000C8×D4—111no—
1001#433—111no—
1002#433C2×D1111yescharacteristic, complemented
1003#432—111no—
1004#428—111no—
1005#428—111no—
1006#427—111no—
1007#416—111no—
1008#416—111no—
1009#416—111no—
1010#416—111no—
1011C2×#102—111no—
1012C2×#102—111no—
1013#405—111no—
1014#405—111no—
1015C2×C4×C8—111no—
1016C22×C11—21no—
1017C22×C11—21no—
1018C22×C11—21no—
1019C22×C11—41no—
1020C22×C11—41no—
1021C22×C11—41no—
1022C22×C11—41no—
1023C22×C11—41no—
1024C22×C11—41no—
1025C22×C11C23×D411yescharacteristic
1026C2×D11—21no—
1027C2×D11—21no—
1028C2×D11—22no—
1029C2×D11—21no—
1030C2×D11—21no—
1031C2×D11—21no—
1032C2×D11—21no—
1033C2×D11—41no—
1034C2×D11—41no—
1035C2×D11—41no—
1036C2×D11—41no—
1037C2×D11—41no—
1038C2×D11—41no—
1039C2×D11—41no—
1040C2×D11—41no—
1041C2×D11—41no—
1042C2×D11—41no—
1043C2×D11—41no—
1044C2×D11—162no—
1045C2×D11—162no—
1046C4×C11—21no—
1047C4×C11—21no—
1048C4×C11—21no—
1049C4×C11—22no—
1050C4×C11—21no—
1051C4×C11—21no—
1052C4×C11—41no—
1053C4×C11—41no—
1054C4×C11—41no—
1055C4×C11—41no—
1056C4×C11—41no—
1057C4×C11C22×#4111yescharacteristic
1058C4×C11#58511yescharacteristic
1059Dic11—21no—
1060Dic11—21no—
1061Dic11—21no—
1062Dic11—21no—
1063Dic11—21no—
1064Dic11—41no—
1065Dic11—41no—
1066Dic11—41no—
1067Dic11—41no—
1068Dic11#57612yes—
1069C2×#41—111no—
1070C2×#41—111no—
1071C2×#41—111no—
1072C2×#41—221no—
1073C2×#41—221no—
1074C2×#41—221no—
1075C2×#41—221no—
1076C2×#41C22×D1111yescharacteristic
1077C22×Q8—221no—
1078C22×D4—111no—
1079C22×D4—111no—
1080C22×D4—221no—
1081AGL(1,ℤ/8)—224no—
1082AGL(1,ℤ/8)—224no—
1083#135—224no—
1084C2×Q16C22×D1111yescharacteristic
1085C2×SD16—111no—
1086C2×SD16—111no—
1087C2×SD16—111no—
1088C2×SD16—111no—
1089C2×SD16C22×D1111yescharacteristic
1090C2×SD16C22×D1111yescharacteristic
1091C2×D8—111no—
1092C2×D8—111no—
1093C2×D8—111no—
1094C2×D8—111no—
1095C2×D8—111no—
1096C2×D8—111no—
1097C2×D8—111no—
1098C2×D8—111no—
1099C2×D8C22×D1111yescharacteristic
1100C2×M16—111no—
1101C2×M16—111no—
1102C22×C8—111no—
1103C22×C8—111no—
1104C22×C8—111no—
1105C22×C8—111no—
1106C4⋊Q8—111no—
1107C4⋊Q8—111no—
1108C4⋊Q8—111no—
1109C4⋊Q8—221no—
1110C4⋊Q8C22×D1111yescharacteristic
1111#127—111no—
1112#127—111no—
1113#127—111no—
1114#127—111no—
1115#127—221no—
1116#127—221no—
1117#127—221no—
1118#126—21no—
1119#126—111no—
1120#126—111no—
1121#126—221no—
1122#126—221no—
1123#126—221no—
1124#126—221no—
1125#126—221no—
1126#125—111no—
1127#125—111no—
1128#125—111no—
1129#125—221no—
1130#125—221no—
1131#124—21no—
1132#124—111no—
1133#124—111no—
1134#124—221no—
1135#124—221no—
1136#124—221no—
1137#124—221no—
1138#124—221no—
1139#124—221no—
1140#124—221no—
1141#124—221no—
1142#124—221no—
1143#124C22×D1111yescharacteristic
1144#123—21no—
1145#123—111no—
1146#123—111no—
1147#123—221no—
1148#123—221no—
1149#123—221no—
1150#123—221no—
1151#123—221no—
1152#123—221no—
1153#123—221no—
1154#123—221no—
1155#123—221no—
1156#123—221no—
1157#123—221no—
1158#123—221no—
1159#123—221no—
1160C22⋊Q8—21no—
1161C22⋊Q8—111no—
1162C22⋊Q8—111no—
1163C22⋊Q8—221no—
1164C22⋊Q8—221no—
1165C22⋊Q8—221no—
1166C22⋊Q8—221no—
1167C22⋊Q8—221no—
1168C22⋊Q8C22×D1111yescharacteristic
1169#121—111no—
1170#121—111no—
1171#121—111no—
1172#121—111no—
1173#121—111no—
1174#121—111no—
1175#121—111no—
1176#121—111no—
1177#121—111no—
1178#121—111no—
1179#121—221no—
1180#121—221no—
1181#121—221no—
1182#121—221no—
1183#121—221no—
1184#121—221no—
1185#121—221no—
1186#121—221no—
1187#121—221no—
1188#121—221no—
1189#121—221no—
1190#121—221no—
1191#121—221no—
1192#121—221no—
1193#121—221no—
1194#121—221no—
1195#121—221no—
1196#121—221no—
1197#121—221no—
1198#121—221no—
1199#121—221no—
1200#121—221no—
1201#121C22×D1111yescharacteristic
1202#120—221no—
1203#120—221no—
1204#120—221no—
1205#120—221no—
1206C4×Q8—111no—
1207C4×Q8—111no—
1208C4×Q8—111no—
1209C4×Q8—111no—
1210C4×Q8—221no—
1211C4×Q8—221no—
1212C4×Q8C22×D1111yescharacteristic
1213C4×Q8C22×D1111yescharacteristic
1214C4×Q8C22×D1111yescharacteristic
1215C4×D4—21no—
1216C4×D4—21no—
1217C4×D4—111no—
1218C4×D4—111no—
1219C4×D4—111no—
1220C4×D4—111no—
1221C4×D4—111no—
1222C4×D4—111no—
1223C4×D4—111no—
1224C4×D4—111no—
1225C4×D4—111no—
1226C4×D4—111no—
1227C4×D4—111no—
1228C4×D4—111no—
1229C4×D4—111no—
1230C4×D4—111no—
1231C4×D4—221no—
1232C4×D4—221no—
1233C4×D4—221no—
1234C4×D4—221no—
1235C4×D4—221no—
1236C4×D4—221no—
1237C4×D4—221no—
1238C4×D4—221no—
1239C4×D4—221no—
1240C4×D4—221no—
1241C4×D4—221no—
1242C4×D4—221no—
1243C4×D4—221no—
1244C4×D4—221no—
1245C4×D4—221no—
1246C4×D4—221no—
1247C4×D4—221no—
1248C4×D4—221no—
1249C4×D4C22×D1111yescharacteristic
1250C4×D4C22×D1111yescharacteristic
1251C4×D4C22×D1111yescharacteristic
1252#117—21no—
1253#117—111no—
1254#117—111no—
1255#117—111no—
1256#117—111no—
1257#117—111no—
1258#117—221no—
1259#117—221no—
1260#117—221no—
1261#117—221no—
1262#117—221no—
1263#117C22×D1111yescharacteristic
1264C2×C4⋊C4—21no—
1265C2×C4⋊C4—111no—
1266C2×C4⋊C4—221no—
1267C2×C4⋊C4C22×D1111yescharacteristic
1268C2×C22⋊C4—221no—
1269C2×C22⋊C4—221no—
1270C2×C22⋊C4—221no—
1271C2×C22⋊C4—221no—
1272C2×C22⋊C4—221no—
1273C2×C22⋊C4—221no—
1274C2×C42—111no—
1275C2×C42—221no—
1276C2×C42—221no—
1277#107—111no—
1278#107—111no—
1279#107—111no—
1280#107—111no—
1281#107—111no—
1282#107—111no—
1283#107C22×D1111yescharacteristic
1284#107C22×D1111yescharacteristic
1285#107C22×D1111yescharacteristic
1286#107C22×D1111yescharacteristic
1287#106—111no—
1288#106—111no—
1289#106—111no—
1290#106—111no—
1291#106—111no—
1292#106—111no—
1293C4⋊C8—111no—
1294C4⋊C8—111no—
1295C4⋊C8—111no—
1296C4⋊C8—111no—
1297C4⋊C8C22×D1111yescharacteristic
1298C4⋊C8C22×D1111yescharacteristic
1299#103—111no—
1300#103—111no—
1301#103—111no—
1302#103—111no—
1303#103C22×D1111yescharacteristic
1304#103C22×D1111yescharacteristic
1305#103C22×D1111yescharacteristic
1306#103C22×D1111yescharacteristic
1307#102—111no—
1308#102—111no—
1309#102—111no—
1310#102—111no—
1311#102—111no—
1312#102—111no—
1313#102—111no—
1314#102—111no—
1315#102—111no—
1316#102—111no—
1317#102—111no—
1318#102—111no—
1319#102—111no—
1320#102—111no—
1321#102—111no—
1322#102—111no—
1323#102—111no—
1324#102—111no—
1325#102—111no—
1326#102—111no—
1327#102C22×D1111yescharacteristic
1328#102C22×D1111yescharacteristic
1329#102C22×D1111yescharacteristic
1330#102C22×D1111yescharacteristic
1331C22⋊C8—111no—
1332C22⋊C8—111no—
1333C22⋊C8—111no—
1334C22⋊C8—111no—
1335C22⋊C8C22×D1111yescharacteristic
1336C22⋊C8C22×D1111yescharacteristic
1337#97—111no—
1338#97—111no—
1339#97—111no—
1340#97C22×D1111yescharacteristic
1341C4×C8—111no—
1342C4×C8—111no—
1343C4×C8—111no—
1344C4×C8—111no—
1345C4×C8—111no—
1346C4×C8C22×D1111yescharacteristic
1347C2×C11—41no—
1348C2×C11—81no—
1349C2×C11—81no—
1350C2×C11D4×#4111yescharacteristic
1351C2×C11C2×#57611yescharacteristic
1352C2×C11#358411yescharacteristic
1353D11—41no—
1354D11—41no—
1355D11—42no—
1356D11—81no—
1357D11—81no—
1358D11—81no—
1359C24—221no—
1360C24—221no—
1361#41—22no—
1362#41—41no—
1363#41—222no—
1364#41—222no—
1365#41—222no—
1366#41—441no—
1367#41—441no—
1368#41—441no—
1369#41—882no—
1370#41—882no—
1371#41—882no—
1372#41—882no—
1373C2×Q8—21no—
1374C2×Q8—111no—
1375C2×Q8—221no—
1376C2×Q8—221no—
1377C2×Q8—221no—
1378C2×Q8—882no—
1379C2×Q8C23×D1111yescharacteristic
1380C2×Q8C23×D1111yescharacteristic
1381C2×D4—21no—
1382C2×D4—21no—
1383C2×D4—111no—
1384C2×D4—111no—
1385C2×D4—111no—
1386C2×D4—111no—
1387C2×D4—111no—
1388C2×D4—111no—
1389C2×D4—111no—
1390C2×D4—222no—
1391C2×D4—221no—
1392C2×D4—221no—
1393C2×D4—221no—
1394C2×D4—221no—
1395C2×D4—221no—
1396C2×D4—221no—
1397C2×D4—221no—
1398C2×D4—221no—
1399C2×D4—221no—
1400C2×D4—221no—
1401C2×D4—221no—
1402C2×D4—221no—
1403C2×D4—221no—
1404C2×D4—221no—
1405C2×D4—222no—
1406C2×D4—221no—
1407C2×D4—221no—
1408C2×D4—221no—
1409C2×D4—221no—
1410C2×D4—221no—
1411C2×D4—221no—
1412C2×D4—221no—
1413C2×D4—221no—
1414C2×D4—441no—
1415C2×D4—441no—
1416C2×D4—882no—
1417C2×D4C23×D1111yescharacteristic
1418C2×D4C23×D1111yescharacteristic
1419C22×C4—21no—
1420C22×C4—21no—
1421C22×C4—21no—
1422C22×C4—21no—
1423C22×C4—21no—
1424C22×C4—111no—
1425C22×C4—111no—
1426C22×C4—111no—
1427C22×C4—111no—
1428C22×C4—221no—
1429C22×C4—221no—
1430C22×C4—221no—
1431C22×C4—221no—
1432C22×C4—221no—
1433C22×C4—221no—
1434C22×C4—221no—
1435C22×C4—221no—
1436C22×C4—221no—
1437C22×C4—221no—
1438C22×C4—221no—
1439C22×C4—221no—
1440C22×C4—221no—
1441C22×C4—221no—
1442C22×C4—221no—
1443C22×C4C23×D1111yescharacteristic
1444Q16—22no—
1445SD16—22no—
1446SD16—41no—
1447SD16—114no—
1448SD16—222no—
1449SD16—222no—
1450SD16—441no—
1451D8—41no—
1452D8—222no—
1453D8—222no—
1454D8—222no—
1455D8—222no—
1456D8—222no—
1457D8—441no—
1458D8—441no—
1459D8—441no—
1460M16—222no—
1461M16—222no—
1462C2×C8—111no—
1463C2×C8—111no—
1464C2×C8—111no—
1465C2×C8—111no—
1466C2×C8—222no—
1467C2×C8—441no—
1468C2×C8—441no—
1469C2×C8—441no—
1470C2×C8C23×D1111yescharacteristic
1471C2×C8C23×D1111yescharacteristic
1472C2×C8C23×D1111yescharacteristic
1473C2×C8C23×D1111yescharacteristic
1474C4⋊C4—21no—
1475C4⋊C4—21no—
1476C4⋊C4—21no—
1477C4⋊C4—21no—
1478C4⋊C4—21no—
1479C4⋊C4—21no—
1480C4⋊C4—111no—
1481C4⋊C4—111no—
1482C4⋊C4—111no—
1483C4⋊C4—111no—
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—221no—
1493C4⋊C4—221no—
1494C4⋊C4—221no—
1495C4⋊C4—221no—
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⋊C4D4×D1111yescharacteristic
1505C4⋊C4D4×D1111yescharacteristic
1506C4⋊C4C23×D1111yescharacteristic
1507C4⋊C4C23×D1111yescharacteristic
1508C4⋊C4C23×D1111yescharacteristic
1509C4⋊C4C23×D1111yescharacteristic
1510C22⋊C4—21no—
1511C22⋊C4—21no—
1512C22⋊C4—21no—
1513C22⋊C4—21no—
1514C22⋊C4—21no—
1515C22⋊C4—21no—
1516C22⋊C4—21no—
1517C22⋊C4—111no—
1518C22⋊C4—111no—
1519C22⋊C4—111no—
1520C22⋊C4—111no—
1521C22⋊C4—111no—
1522C22⋊C4—111no—
1523C22⋊C4—111no—
1524C22⋊C4—111no—
1525C22⋊C4—221no—
1526C22⋊C4—221no—
1527C22⋊C4—221no—
1528C22⋊C4—221no—
1529C22⋊C4—221no—
1530C22⋊C4—221no—
1531C22⋊C4—221no—
1532C22⋊C4—221no—
1533C22⋊C4—221no—
1534C22⋊C4—221no—
1535C22⋊C4—221no—
1536C22⋊C4—221no—
1537C22⋊C4—221no—
1538C22⋊C4—221no—
1539C22⋊C4—221no—
1540C22⋊C4—221no—
1541C22⋊C4—221no—
1542C22⋊C4—221no—
1543C22⋊C4—221no—
1544C22⋊C4—221no—
1545C22⋊C4—221no—
1546C22⋊C4—221no—
1547C22⋊C4—221no—
1548C22⋊C4—221no—
1549C22⋊C4—221no—
1550C22⋊C4—221no—
1551C22⋊C4—221no—
1552C22⋊C4D4×D1111yescharacteristic
1553C22⋊C4D4×D1111yescharacteristic
1554C42—21no—
1555C42—21no—
1556C42—21no—
1557C42—111no—
1558C42—111no—
1559C42—111no—
1560C42—111no—
1561C42—221no—
1562C42—221no—
1563C42—221no—
1564C42—221no—
1565C42—221no—
1566C42—221no—
1567C42—221no—
1568C42C23×D1111yescharacteristic
1569C42C23×D1111yescharacteristic
1570C11#6149411yescharacteristic, complemented, Sylow
1571C23—21no—
1572C23—21no—
1573C23—111no—
1574C23—111no—
1575C23—221no—
1576C23—221no—
1577C23—221no—
1578C23—221no—
1579C23—442no—
1580C23—442no—
1581C23—881no—
1582C23—881no—
1583C23—881no—
1584C23—881no—
1585C23C2×D4×D1111yescharacteristic
1586Q8—21no—
1587Q8—21no—
1588Q8—21no—
1589Q8—81no—
1590Q8—222no—
1591Q8—442no—
1592Q8—442no—
1593Q8—881no—
1594Q8#41×D1112yes—
1595D4—21no—
1596D4—21no—
1597D4—21no—
1598D4—21no—
1599D4—42no—
1600D4—81no—
1601D4—112no—
1602D4—222no—
1603D4—221no—
1604D4—221no—
1605D4—221no—
1606D4—221no—
1607D4—221no—
1608D4—221no—
1609D4—221no—
1610D4—441no—
1611D4—442no—
1612D4—442no—
1613D4—442no—
1614D4—442no—
1615D4—442no—
1616D4—442no—
1617D4—441no—
1618D4—442no—
1619D4—881no—
1620D4—881no—
1621D4—881no—
1622D4—881no—
1623D4—881no—
1624D4—881no—
1625D4—881no—
1626D4—881no—
1627D4—881no—
1628D4—881no—
1629D4—881no—
1630D4—881no—
1631D4—881no—
1632D4—881no—
1633D4—881no—
1634C2×C4—21no—
1635C2×C4—21no—
1636C2×C4—21no—
1637C2×C4—21no—
1638C2×C4—21no—
1639C2×C4—21no—
1640C2×C4—21no—
1641C2×C4—21no—
1642C2×C4—42no—
1643C2×C4—81no—
1644C2×C4—81no—
1645C2×C4—81no—
1646C2×C4—81no—
1647C2×C4—111no—
1648C2×C4—111no—
1649C2×C4—111no—
1650C2×C4—111no—
1651C2×C4—111no—
1652C2×C4—111no—
1653C2×C4—222no—
1654C2×C4—221no—
1655C2×C4—221no—
1656C2×C4—221no—
1657C2×C4—221no—
1658C2×C4—221no—
1659C2×C4—221no—
1660C2×C4—221no—
1661C2×C4—221no—
1662C2×C4—441no—
1663C2×C4—442no—
1664C2×C4—442no—
1665C2×C4—442no—
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×C4C2×D4×D1111yescharacteristic
1679C2×C4C2×D4×D1111yescharacteristic
1680C2×C4C2×D4×D1111yescharacteristic
1681C2×C4C2×D4×D1111yescharacteristic
1682C2×C4C2×D4×D1111yescharacteristic
1683C2×C4C24×D1111yescharacteristic
1684C8—21no—
1685C8—21no—
1686C8—21no—
1687C8—21no—
1688C8—112no—
1689C8—221no—
1690C8—221no—
1691C8—221no—
1692C22—21no—
1693C22—21no—
1694C22—21no—
1695C22—41no—
1696C22—41no—
1697C22—41no—
1698C22—41no—
1699C22—41no—
1700C22—41no—
1701C22—221no—
1702C22—221no—
1703C22—221no—
1704C22—221no—
1705C22—222no—
1706C22—221no—
1707C22—221no—
1708C22—441no—
1709C22—441no—
1710C22—441no—
1711C22—441no—
1712C22—441no—
1713C22—441no—
1714C22—441no—
1715C22—441no—
1716C22—441no—
1717C22—441no—
1718C22—441no—
1719C22—1762no—
1720C22—1762no—
1721C22C22×D4×D1111yescharacteristic
1722C4—21no—
1723C4—21no—
1724C4—21no—
1725C4—22no—
1726C4—21no—
1727C4—21no—
1728C4—41no—
1729C4—41no—
1730C4—41no—
1731C4—41no—
1732C4—41no—
1733C4—112no—
1734C4—221no—
1735C4—221no—
1736C4—221no—
1737C4—221no—
1738C4—221no—
1739C4—441no—
1740C4—441no—
1741C4—441no—
1742C4—441no—
1743C4C2×#41×D1111yescharacteristic
1744C4#1062345311yescharacteristic
1745C2—41no—
1746C2—81no—
1747C2—81no—
1748C2—441no—
1749C2—441no—
1750C2—442no—
1751C2—881no—
1752C2—881no—
1753C2—881no—
1754C2#1308209911yescharacteristic
1755C2D11×#57611yescharacteristic
1756C2#1308338611yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3124C2
socleC22×C11C23×D4
hypercenter#3124D11
hypocenterC11#61494
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #117 ◁ #3124

Complements

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

NH ≅ G/Ntype
1. #13082616C2semidirect
2. #13082575C2semidirect
3. #13081653C2semidirect
4. #13081540C2semidirect
5. #13081307C2semidirect
6. #13081250C2semidirect
7. #13081193C2semidirect
8. #13081123C2semidirect
9. #13081119C2semidirect
10. #13080563C2semidirect
11. #13080559C2semidirect
12. #13080548C2semidirect
13. #13080473C2semidirect
14. #13080464C2semidirect
15. #13080427C2semidirect
16. #13080229C2semidirect
17. #13080159C2semidirect
18. #13080151C2semidirect
19. #13079297C2semidirect
20. #13079293C2semidirect
21. #13079192C2semidirect
22. #13078884C2semidirect
23. #13078860C2semidirect
24. #13078856C2semidirect
25. #13078765C2semidirect
26. #13078765C2semidirect
27. #13077589C2semidirect
28. #13077447C2semidirect
29. #13077444C2semidirect
30. C4×#66972C2semidirect
31. C11×#3124C2semidirect
33. C11×#520C22semidirect
35. #10623365C22semidirect
56. #10623108C22semidirect
57. #10623105C22semidirect
59. C4×#4343C22semidirect
60. #10623100C22semidirect
62. #10623093C22semidirect
64. #10623089C22semidirect
66. #10623084C22semidirect
69. #10623079C22semidirect
72. #10623066C22semidirect
77. #10623045C22semidirect
80. C11×#484C22semidirect
82. C11×#477C22semidirect
83. C11×#474C22semidirect
84. C11×#464C22semidirect
85. C11×#463C22semidirect
86. C11×#452C22semidirect
88. C11×#440C22semidirect
89. C11×#440C22semidirect
90. C4×C11×Q16C22semidirect
91. C4×C11×D8C22semidirect
92. C11×#433C22semidirect
93. #10622846C22semidirect
94. #10622800C22semidirect
95. #10622798C22semidirect
96. Q16×Dic11C22semidirect
97. #10622789C22semidirect
99. #10622785C22semidirect
100. #10622784C22semidirect
102. #10622776C22semidirect
103. SD16×Dic11C22semidirect
104. #10622770C22semidirect
107. #10622763C22semidirect
108. #10622701C22semidirect
109. #10622693C22semidirect
110. #10622671C22semidirect
111. #10622669C22semidirect
112. #10622662C22semidirect
113. #10622661C22semidirect
117. #10622639C22semidirect
118. #10622639C22semidirect
120. C4×#4325C22semidirect
121. C4×#4325C22semidirect
123. #10622627C22semidirect
124. #10622627C22semidirect
126. C4×#4323C22semidirect
127. C4×#4323C22semidirect
128. #10622610C22semidirect
130. #10622577C22semidirect
133. #10622503C22semidirect
134. #10622503C22semidirect
135. #10622498C22semidirect
136. #10622498C22semidirect
137. #10622498C22semidirect
139. #10622496C22semidirect
141. #10622494C22semidirect
142. #10622493C22semidirect
143. #10622489C22semidirect
144. #10622487C22semidirect
148. #10622460C22semidirect
150. #10622456C22semidirect
151. #10622449C22semidirect
152. #10622447C22semidirect
153. #10622443C22semidirect
154. #10622441C22semidirect
155. #10622432C22semidirect
157. #10622425C22semidirect
160. #10622424C22semidirect
161. #10622422C22semidirect
163. #10622417C22semidirect
164. #10622417C22semidirect
165. #10622413C22semidirect
166. #10622407C22semidirect
167. #10622404C22semidirect
168. #10622404C22semidirect
170. #10622401C22semidirect
174. #10622398C22semidirect
175. #10622397C22semidirect
177. #10622392C22semidirect
178. #10622392C22semidirect
179. #10622388C22semidirect
180. #10622388C22semidirect
183. #10622379C22semidirect
185. #10622373C22semidirect
186. #10622373C22semidirect
187. #10622350C22semidirect
188. #10622350C22semidirect
192. #10622341C22semidirect
194. (C22⋊D11)⋊C8C22semidirect
196. #10622324C22semidirect
197. #10622321C22semidirect
198. #10622318C22semidirect
200. C4×D88C22semidirect
201. #10622303C22semidirect
202. C4×C8×D11C22semidirect
611. #4325#41semidirect
715. #3124D11semidirect
888. #520C2×D11semidirect
906. #484C2×D11semidirect
922. #477C2×D11semidirect
928. #474C2×D11semidirect
942. #464C2×D11semidirect
944. #463C2×D11semidirect
954. #452C2×D11semidirect
977. #440C2×D11semidirect
978. #440C2×D11semidirect
980. C4×Q16C2×D11semidirect
994. C4×D8C2×D11semidirect
1002. #433C2×D11semidirect
1570. C11#61494semidirect

Maximal subgroups

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

subgroupindex
#130826162
#130825752
#130816532
#130815402
#130813072
#130812502
#130811932
#130811232
#130811192
#130805632
#130805592
#130805482
#130804732
#130804642
#130804272
#130802292
#130801592
#130801512
#130792972
#130792932
#130791922
#130788842
#130788602
#130788562
#130787652
#130775892
#130774472
#130774442
C4×#669722
C11×#31242
#6149411