Finite Group Databasebeta

← #15636627

Subgroups — #15636627

Order 2816.

1836 conjugacy classes of subgroups.

The subgroup lattice has 1712 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082581C211yesmaximal, characteristic, complemented
2#13082573C211yesmaximal, characteristic, complemented
3#13081664C211yesmaximal, characteristic, complemented
4#13081510C211yesmaximal, characteristic, complemented
5#13081277C211yesmaximal, characteristic, complemented
6#13081255C211yesmaximal, characteristic, complemented
7#13081229C211yesmaximal, characteristic, complemented
8#13081135C211yesmaximal, characteristic, complemented
9#13081131C211yesmaximal, characteristic, complemented
10#13080540C211yesmaximal, characteristic, complemented
11#13080529C211yesmaximal, characteristic, complemented
12#13080453C211yesmaximal, characteristic, complemented
13#13080446C211yesmaximal, characteristic, complemented
14#13080435C211yesmaximal, characteristic, complemented
15#13080209C211yesmaximal, characteristic, complemented
16#13080142C211yesmaximal, characteristic, complemented
17#13080134C211yesmaximal, characteristic, complemented
18#13079291C211yesmaximal, characteristic, complemented
19#13079279C211yesmaximal, characteristic, complemented
20#13079170C211yesmaximal, characteristic, complemented
21#13078898C211yesmaximal, characteristic, complemented
22#13078894C211yesmaximal, characteristic, complemented
23#13078866C211yesmaximal, characteristic, complemented
24#13078864C211yesmaximal, characteristic, complemented
25#13078773C211yesmaximal, characteristic, complemented
26#13078760C211yesmaximal, characteristic, complemented
27#13077584C211yesmaximal, characteristic, complemented
28#13077451C211yesmaximal, characteristic, complemented
29#13077441C211yesmaximal, characteristic, complemented
30#13077384C211yesmaximal, characteristic, complemented
31C11×#3303C211yesmaximal, characteristic, complemented
32C11×#555C2211yescharacteristic
33C11×#547C2211yescharacteristic, complemented
34#10623358C2211yescharacteristic, complemented
35#41×Dic11C2211yescharacteristic, complemented
36#10623355C2211yescharacteristic
37#10623355C2211yescharacteristic, complemented
38C2×#67003C2211yescharacteristic
39C2×#67002C2211yescharacteristic
40C2×#66964C2211yescharacteristic
41#10623264C2211yescharacteristic
42#10623262C2211yescharacteristic, complemented
43#10623258C2211yescharacteristic
44#10623252C2211yescharacteristic, complemented
45#10623210—21no—
46#10623209—21no—
47#10623208—21no—
48D11×#124—21no—
49#10623196—21no—
50#10623181—21no—
51#10623181—21no—
52#10623180—21no—
53#10623170C2211yescharacteristic, complemented
54#10623166C2211yescharacteristic
55#10623156C2211yescharacteristic, complemented
56#10623153C2211yescharacteristic, complemented
57#10623144—21no—
58#10623143C2211yescharacteristic
59#10623141—21no—
60#10623140C2211yescharacteristic
61#10623134C2211yescharacteristic
62#10623133—21no—
63#10623132—21no—
64#10623127C2211yescharacteristic
65#10623090C2211yescharacteristic
66#10623081C2211yescharacteristic
67#10623077C2211yescharacteristic, complemented
68#10623076C2211yescharacteristic
69#10623072C2211yescharacteristic, complemented
70#10623070C2211yescharacteristic, complemented
71#10623069C2211yescharacteristic
72#10623064C2211yescharacteristic
73#10623063C2211yescharacteristic
74#10623059—21no—
75#10623058—21no—
76#10623053C2211yescharacteristic
77#10623052C2211yescharacteristic
78#10623044—21no—
79C2×#66942—21no—
80C11×#487C2211yescharacteristic, complemented
81C11×#485C2211yescharacteristic, complemented
82C11×#485C2211yescharacteristic, complemented
83C11×#476C2211yescharacteristic, complemented
84C11×#465C2211yescharacteristic
85C11×#465C2211yescharacteristic, complemented
86C11×#461C2211yescharacteristic, complemented
87C11×#449C2211yescharacteristic
88C11×#449C2211yescharacteristic, complemented
89C4×C11×D8C2211yescharacteristic, complemented
90C8×D4×C11C2211yescharacteristic, complemented
91C11×#416C2211yescharacteristic, complemented
92C11×#416C2211yescharacteristic, complemented
93#10622852C2211yescharacteristic, complemented
94#10622851C2211yescharacteristic, complemented
95#10622788C2211yescharacteristic
96#10622782C2211yescharacteristic
97#10622782C2211yescharacteristic
98#10622780C2211yescharacteristic, complemented
99#10622779C2211yescharacteristic, complemented
100#10622777C2211yescharacteristic, complemented
101#10622776C2211yescharacteristic
102SD16×Dic11C2211yescharacteristic, complemented
103#10622766C2211yescharacteristic, complemented
104#10622765C2211yescharacteristic, complemented
105#10622763C2211yescharacteristic
106#10622729C2211yescharacteristic, complemented
107#10622727C2211yescharacteristic, complemented
108#10622726C2211yescharacteristic
109C2×#66885C2211yescharacteristic
110C8×C22⋊D11C2211yescharacteristic
111C8×C22⋊D11C2211yescharacteristic, complemented
112#10622714C2211yescharacteristic, complemented
113C2×C8×Dic11C2211yescharacteristic, complemented
114#10622707C2211yescharacteristic, complemented
115#10622699C2211yescharacteristic, complemented
116#10622696C2211yescharacteristic
117#10622693C2211yescharacteristic, complemented
118#10622665C2211yescharacteristic, complemented
119#10622661C2211yescharacteristic, complemented
120#10622660C2211yescharacteristic
121#10622659C2211yescharacteristic
122#10622655C2211yescharacteristic
123#10622654C2211yescharacteristic, complemented
124#10622648C2211yescharacteristic, complemented
125#10622647C2211yescharacteristic
126#10622631C2211yescharacteristic, complemented
127#10622629C2211yescharacteristic, complemented
128#10622627C2211yescharacteristic
129#10622624C2211yescharacteristic, complemented
130#10622622C2211yescharacteristic, complemented
131#10622611C2211yescharacteristic, complemented
132#10622609C2211yescharacteristic, complemented
133#10622609C2211yescharacteristic, complemented
134#10622608C2211yescharacteristic, complemented
135#10622504C2211yescharacteristic, complemented
136#10622502C2211yescharacteristic
137#10622494C2211yescharacteristic, complemented
138#10622488C2211yescharacteristic, complemented
139#10622484C2211yescharacteristic
140#10622483C2211yescharacteristic
141#10622476C2211yescharacteristic
142#10622475C2211yescharacteristic, complemented
143#10622469C2211yescharacteristic, complemented
144#10622468C2211yescharacteristic, complemented
145#10622466C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622460C2211yescharacteristic
148#10622458C2211yescharacteristic, complemented
149#10622453C2211yescharacteristic, complemented
150#10622441C2211yescharacteristic, complemented
151#10622431C2211yescharacteristic
152#10622431C2211yescharacteristic
153#10622431C2211yescharacteristic, complemented
154#10622430C2211yescharacteristic
155#10622430C2211yescharacteristic, complemented
156#10622430C2211yescharacteristic, complemented
157#10622429C2211yescharacteristic, complemented
158#10622428C2211yescharacteristic, complemented
159#10622427C2211yescharacteristic, complemented
160#10622426C2211yescharacteristic, complemented
161#10622425C2211yescharacteristic
162#10622420C2211yescharacteristic
163#10622406C2211yescharacteristic, complemented
164#10622405C2211yescharacteristic, complemented
165#10622405C2211yescharacteristic, complemented
166#10622404C2211yescharacteristic, complemented
167#10622404C2211yescharacteristic, complemented
168#10622403C2211yescharacteristic, complemented
169#10622403C2211yescharacteristic, complemented
170#10622402C2211yescharacteristic, complemented
171#10622401C2211yescharacteristic
172#10622401C2211yescharacteristic
173#10622401C2211yescharacteristic
174#10622401C2211yescharacteristic, complemented
175#10622398C2211yescharacteristic
176#10622398C2211yescharacteristic, complemented
177#10622396C2211yescharacteristic, complemented
178#10622394C2211yescharacteristic
179#10622385C2211yescharacteristic, complemented
180D11×#102C2211yescharacteristic
181#10622381C2211yescharacteristic, complemented
182#10622374C2211yescharacteristic, complemented
183#10622373C2211yescharacteristic
184#10622372C2211yescharacteristic, complemented
185#10622371C2211yescharacteristic, complemented
186#10622371C2211yescharacteristic, complemented
187#10622371C2211yescharacteristic, complemented
188#10622369C2211yescharacteristic
189#10622369C2211yescharacteristic
190#10622369C2211yescharacteristic, complemented
191#10622350C2211yescharacteristic, complemented
192#10622346C2211yescharacteristic
193#10622344C2211yescharacteristic
194#10622343C2211yescharacteristic, complemented
195#10622342C2211yescharacteristic
196#10622334C2211yescharacteristic, complemented
197#10622333C2211yescharacteristic, complemented
198#10622332C2211yescharacteristic, complemented
199#10622310C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic
201#10622302C2211yescharacteristic, complemented
202C8×Dic22C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205C2×Q8×D11—21no—
206C2×#4341—21no—
207C2×#4341C2311yescharacteristic
208C2×D4×D11—21no—
209C2×D4×D11C2311yescharacteristic
210C2×#4339C2311yescharacteristic
211C22×D44C2311yescharacteristic
212C2×C11×SD16C2311yescharacteristic
213C2×C11×SD16C2311yescharacteristic
214C2×C11×D8C2311yescharacteristic
215C22×C8×C11C2311yescharacteristic
216C22×C8×C11C2311yescharacteristic
217C11×C4⋊Q8C2311yescharacteristic
218C11×C4⋊Q8C2311yescharacteristic
219C11×#124—21no—
220C11×#124—21no—
221C11×#123—21no—
222C11×#123—21no—
223C11×C22⋊Q8C2311yescharacteristic
224C11×C22⋊Q8C2311yescharacteristic
225C11×#121—21no—
226C11×#121—21no—
227C11×#121C2311yescharacteristic
228C11×#121C2311yescharacteristic
229C4×D4×C11C2311yescharacteristic
230C4×D4×C11C2311yescharacteristic
231C4×D4×C11C2311yescharacteristic
232C11×#117—21no—
233C11×#117C2311yescharacteristic
234C11×#117C2311yescharacteristic
235C2×C11×C4⋊C4—21no—
236#67003—24no—
237#67002—24no—
238#67000—21no—
239#66999—21no—
240#66999—21no—
241#66999C2311yescharacteristic
242#66999C2311yescharacteristic
243Q8×Dic11C2311yescharacteristic
244Q8×Dic11C2311yescharacteristic
245Q8×Dic11C2311yescharacteristic
246Q8×Dic11C2311yescharacteristic
247#66997C2311yescharacteristic
248#66997C2311yescharacteristic
249C2×#4326C2311yescharacteristic
250C2×#4326C2311yescharacteristic
251C2×#4325C2311yescharacteristic
252C2×#4325C2311yescharacteristic
253C2×#4325C2311yescharacteristic
254C2×#4325C2311yescharacteristic
255#66993C2311yescharacteristic
256#66992—21no—
257#66992—21no—
258#66992—21no—
259#66992D411yescharacteristic
260#66991—21no—
261#66990—21no—
262#66990—21no—
263#66990—21no—
264#66989—21no—
265#66989C2311yescharacteristic
266#66988—21no—
267#66988—21no—
268#66988—21no—
269#66988—21no—
270#66988D411yescharacteristic
271D4×Dic11—21no—
272D4×Dic11—21no—
273D4×Dic11—21no—
274D4×Dic11—21no—
275D4×Dic11C2311yescharacteristic
276D4×Dic11C2311yescharacteristic
277D4×Dic11C2311yescharacteristic
278D4×Dic11C2311yescharacteristic
279C2×#4324C2311yescharacteristic
280C2×#4324C2311yescharacteristic
281C2×#4323C2311yescharacteristic
282C2×#4323C2311yescharacteristic
283#66983C2311yescharacteristic
284#66982—21no—
285#66982—21no—
286#66982—21no—
287C4×C22⋊D11—21no—
288C4×C22⋊D11—21no—
289C4×C22⋊D11—21no—
290C4×C22⋊D11C2311yescharacteristic
291C4×C22⋊D11C2311yescharacteristic
292C2×(C2×D11)⋊C4—21no—
293#66979—21no—
294#66979—21no—
295#66979C2311yescharacteristic
296#66979C2311yescharacteristic
297C2×C4⋊Dic11—21no—
298C2×C4⋊Dic11C2311yescharacteristic
299#66977—21no—
300#66977C2311yescharacteristic
301#66977C2311yescharacteristic
302#66977C2311yescharacteristic
303C2×Dic11⋊C4—21no—
304C2×Dic11⋊C4—21no—
305C2×Dic11⋊C4—21no—
306C2×Dic11⋊C4—21no—
307C2×C4×Dic11—21no—
308C2×C4×Dic11C2311yescharacteristic
309C2×#4318C2311yescharacteristic
310C22×C11⋊C8C2311yescharacteristic
311#66964—24no—
312C2×Dic44C2311yescharacteristic
313C2×#4314C2311yescharacteristic
314C2×#4314C2311yescharacteristic
315C2×#4313C2311yescharacteristic
316C2×C8×D11C2311yescharacteristic
317#66951—21no—
318#66951—21no—
319#66951—21no—
320#66951D411yescharacteristic
321#66950—21no—
322#66950C2311yescharacteristic
323#66949—21no—
324#66949—21no—
325#66948C2311yescharacteristic
326#66947—21no—
327#66947—21no—
328#66946C2311yescharacteristic
329#66946C2311yescharacteristic
330#66946C2311yescharacteristic
331#66946C2311yescharacteristic
332#66946C2311yescharacteristic
333#66945—21no—
334#66945C2311yescharacteristic
335C4⋊C4×D11C2311yescharacteristic
336#66943—21no—
337#66943—21no—
338#66943C2311yescharacteristic
339#66942—21no—
340#66942—21no—
341#66942—21no—
342#66942—21no—
343#66942—21no—
344#66942—21no—
345#66942—21no—
346#66942—21no—
347#66942—21no—
348#66942D411yescharacteristic
349#66941C2311yescharacteristic
350#66941C2311yescharacteristic
351#66941C2311yescharacteristic
352#66940—21no—
353#66940—21no—
354#66940C2311yescharacteristic
355#66940C2311yescharacteristic
356#66940C2311yescharacteristic
357#66939D411yescharacteristic
358#66938—21no—
359#66938—21no—
360#66938—21no—
361#66938—21no—
362#66938D411yescharacteristic
363#66937—21no—
364#66937—21no—
365#66937—21no—
366#66936—21no—
367#66936—21no—
368#66936—21no—
369#66935—21no—
370(C22⋊D11)⋊C4—21no—
371(C22⋊D11)⋊C4—21no—
372(C22⋊D11)⋊C4—21no—
373(C22⋊D11)⋊C4—21no—
374(C22⋊D11)⋊C4—21no—
375(C22⋊D11)⋊C4—21no—
376C22⋊C4×D11—21no—
377C22⋊C4×D11—21no—
378C22⋊C4×D11—21no—
379C22⋊C4×D11—21no—
380C22⋊C4×D11—21no—
381#66932—21no—
382#66932—21no—
383#66932—21no—
384#66932—21no—
385#66932—21no—
386#66932—21no—
387#66932D411yescharacteristic
388#66931—21no—
389#66931—21no—
390#66931—21no—
391#66931—21no—
392#66931—21no—
393#66931D411yescharacteristic
394#66930—21no—
395#66930—21no—
396#66930—21no—
397#66929—21no—
398#66928—21no—
399#66928C2311yescharacteristic
400C4×D44—21no—
401C4×D44—21no—
402C4×D44C2311yescharacteristic
403#66925—21no—
404#66925—21no—
405#66925C2311yescharacteristic
406C42×D11—21no—
407#66923C2311yescharacteristic
408C4×Dic22—21no—
409C4×Dic22C2311yescharacteristic
410C4×Dic22C2311yescharacteristic
411C11×#107C2311yescharacteristic
412C11×#106C2311yescharacteristic
413C11×#106C2311yescharacteristic
414C11×C4⋊C8C2311yescharacteristic
415C11×#103C2311yescharacteristic
416C11×#103C2311yescharacteristic
417C11×#103C2311yescharacteristic
418C11×#103C2311yescharacteristic
419C11×#103C2311yescharacteristic
420C11×#103C2311yescharacteristic
421C11×#102C2311yescharacteristic
422C11×#102C2311yescharacteristic
423C11×#102C2311yescharacteristic
424C11×#102C2311yescharacteristic
425C11×C22⋊C8C2311yescharacteristic
426C11×C22⋊C8C2311yescharacteristic
427C4×C8×C11C2311yescharacteristic
428#66899C2311yescharacteristic
429#66899C2311yescharacteristic
430#66896C2311yescharacteristic
431#66896C2311yescharacteristic
432#66896C2311yescharacteristic
433#66896C2311yescharacteristic
434C22⋊(C11⋊C8)C2311yescharacteristic
435C22⋊(C11⋊C8)C2311yescharacteristic
436#66885C2311yescharacteristic
437#66885C2311yescharacteristic
438#66885C2311yescharacteristic
439#66885C2311yescharacteristic
440#66885C2311yescharacteristic
441#66885C2311yescharacteristic
442(C2×D11)⋊C8C2311yescharacteristic
443(C2×D11)⋊C8C2311yescharacteristic
444#66882C2311yescharacteristic
445#66881C2311yescharacteristic
446#66881C2311yescharacteristic
447#66880C2311yescharacteristic
448#66880C2311yescharacteristic
449#66880C2311yescharacteristic
450#66880C2311yescharacteristic
451#66879C2311yescharacteristic
452#66879C2311yescharacteristic
453#66879C2311yescharacteristic
454Dic11⋊C8C2311yescharacteristic
455Dic11⋊C8C2311yescharacteristic
456Dic11⋊C8C2311yescharacteristic
457Dic11⋊C8C2311yescharacteristic
458C8×Dic11C2311yescharacteristic
459C8×Dic11C2311yescharacteristic
460C8×Dic11C2311yescharacteristic
461C8×Dic11C2311yescharacteristic
462C8×Dic11C2311yescharacteristic
463#66874C2311yescharacteristic
464#66874C2311yescharacteristic
465#66874C2311yescharacteristic
466#66874C2311yescharacteristic
467#66873C2311yescharacteristic
468#66873C2311yescharacteristic
469#66872C2311yescharacteristic
470#66872C2311yescharacteristic
471#66872C2311yescharacteristic
472#66872C2311yescharacteristic
473#66872C2311yescharacteristic
474#66872C2311yescharacteristic
475#66871C2311yescharacteristic
476#66871C2311yescharacteristic
477#66871C2311yescharacteristic
478#66871C2311yescharacteristic
479C4⋊(C11⋊C8)C2311yescharacteristic
480#66867C2311yescharacteristic
481#61493—111nomaximal, Sylow
482C23×D11—21no—
483C23×D11—21no—
484C11×#41—22no—
485C11×#41—22no—
486C11×#41—41no—
487C11×#41—41no—
488C2×Q8×C11—21no—
489C2×Q8×C11C2411yescharacteristic
490C2×Q8×C11C2411yescharacteristic
491C2×D4×C11—21no—
492C2×D4×C11—21no—
493C2×D4×C11—21no—
494C2×D4×C11—21no—
495C2×D4×C11C2×D411yescharacteristic
496C2×D4×C11C2411yescharacteristic
497C2×D4×C11C2411yescharacteristic
498C22×C4×C11—21no—
499C22×C4×C11—21no—
500C22×C4×C11—21no—
501C22×C4×C11—21no—
502C22×C4×C11C2411yescharacteristic
503C22×C4×C11C2411yescharacteristic
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⋊D11C2×D411yescharacteristic
511C2×C22⋊D11C2×D411yescharacteristic
512C22×Dic11—21no—
513C22×Dic11—21no—
514C22×Dic11—21no—
515C22×Dic11—21no—
516C22×Dic11—21no—
517C22×Dic11—21no—
518C22×Dic11C2×D411yescharacteristic
519C22×Dic11C2×D411yescharacteristic
520Q8×D11—82no—
521#4341—22no—
522#4341—41no—
523#4341—82no—
524D4×D11—22no—
525D4×D11—41no—
526D4×D11—82no—
527#4339—22no—
528#4339—41no—
529C2×D44—21no—
530C2×D44—22no—
531C2×D44—21no—
532C2×D44—41no—
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×D11C2411yescharacteristic
544C2×Dic22—21no—
545C2×Dic22—21no—
546C2×Dic22—21no—
547C2×Dic22C2×D411yescharacteristic
548C2×Dic22C2411yescharacteristic
549C2×Dic22C2411yescharacteristic
550C11×SD16—41no—
551C11×SD16—41no—
552C11×D8—22no—
553C2×C8×C11—41no—
554C2×C8×C11—41no—
555C2×C8×C11C2411yescharacteristic
556C2×C8×C11C2411yescharacteristic
557C2×C8×C11C2411yescharacteristic
558C2×C8×C11C2411yescharacteristic
559C11×C4⋊C4—21no—
560C11×C4⋊C4—21no—
561C11×C4⋊C4—21no—
562C11×C4⋊C4—21no—
563C11×C4⋊C4—21no—
564C11×C4⋊C4C2×D411yescharacteristic
565C11×C4⋊C4C2411yescharacteristic
566C11×C4⋊C4C2411yescharacteristic
567C11×C4⋊C4C2411yescharacteristic
568C11×C4⋊C4C2411yescharacteristic
569C11×C22⋊C4—21no—
570C11×C22⋊C4—21no—
571C11×C22⋊C4—21no—
572C11×C22⋊C4—21no—
573C11×C22⋊C4—21no—
574C11×C22⋊C4—21no—
575C11×C22⋊C4—21no—
576C11×C22⋊C4—21no—
577C11×C22⋊C4C2×D411yescharacteristic
578C11×C22⋊C4C2×D411yescharacteristic
579C42×C11—21no—
580C42×C11—21no—
581C42×C11C2411yescharacteristic
582C22⋊Dic11—21no—
583C22⋊Dic11—21no—
584C22⋊Dic11—21no—
585C22⋊Dic11—21no—
586C22⋊Dic11—21no—
587C22⋊Dic11—21no—
588C22⋊Dic11—21no—
589C22⋊Dic11—21no—
590C22⋊Dic11—21no—
591C22⋊Dic11—21no—
592C22⋊Dic11C2×D411yescharacteristic
593C22⋊Dic11C2×D411yescharacteristic
594C22⋊Dic11C2×D411yescharacteristic
595C22⋊Dic11C2×D411yescharacteristic
596#4326—22no—
597#4326—41no—
598#4325—22no—
599#4325—22no—
600#4325—22no—
601#4325—41no—
602#4324—22no—
603#4324—22no—
604#4323—22no—
605#4323#4114yescomplemented
606(C2×D11)⋊C4—21no—
607(C2×D11)⋊C4—21no—
608(C2×D11)⋊C4—21no—
609(C2×D11)⋊C4—21no—
610(C2×D11)⋊C4—21no—
611(C2×D11)⋊C4—21no—
612(C2×D11)⋊C4—21no—
613(C2×D11)⋊C4—21no—
614(C2×D11)⋊C4—21no—
615(C2×D11)⋊C4—21no—
616(C2×D11)⋊C4—21no—
617(C2×D11)⋊C4—21no—
618(C2×D11)⋊C4—21no—
619(C2×D11)⋊C4—21no—
620(C2×D11)⋊C4C2×D411yescharacteristic
621(C2×D11)⋊C4C2×D411yescharacteristic
622(C2×D11)⋊C4C2×D411yescharacteristic
623(C2×D11)⋊C4C2×D411yescharacteristic
624C4⋊Dic11—21no—
625C4⋊Dic11—21no—
626C4⋊Dic11—21no—
627C4⋊Dic11—21no—
628C4⋊Dic11—21no—
629C4⋊Dic11—21no—
630C4⋊Dic11—21no—
631C4⋊Dic11C2×D411yescharacteristic
632C4⋊Dic11C2×D411yescharacteristic
633C4⋊Dic11C2×D411yescharacteristic
634C4⋊Dic11C2411yescharacteristic
635C4⋊Dic11C2411yescharacteristic
636C4⋊Dic11C2411yescharacteristic
637C4⋊Dic11C2411yescharacteristic
638Dic11⋊C4—21no—
639Dic11⋊C4—21no—
640Dic11⋊C4—21no—
641Dic11⋊C4—21no—
642Dic11⋊C4—21no—
643Dic11⋊C4—21no—
644Dic11⋊C4—21no—
645Dic11⋊C4—21no—
646Dic11⋊C4—21no—
647Dic11⋊C4—21no—
648Dic11⋊C4—21no—
649Dic11⋊C4—21no—
650Dic11⋊C4—21no—
651Dic11⋊C4—21no—
652Dic11⋊C4—21no—
653Dic11⋊C4—21no—
654Dic11⋊C4—21no—
655Dic11⋊C4—21no—
656Dic11⋊C4—21no—
657Dic11⋊C4—21no—
658Dic11⋊C4C2×D411yescharacteristic
659Dic11⋊C4C2×D411yescharacteristic
660Dic11⋊C4C2×D411yescharacteristic
661Dic11⋊C4C2×D411yescharacteristic
662Dic11⋊C4C2×D411yescharacteristic
663Dic11⋊C4C2×D411yescharacteristic
664C4×Dic11—21no—
665C4×Dic11—21no—
666C4×Dic11—21no—
667C4×Dic11—21no—
668C4×Dic11—21no—
669C4×Dic11—21no—
670C4×Dic11—21no—
671C4×Dic11—21no—
672C4×Dic11—21no—
673C4×Dic11—21no—
674C4×Dic11C2×D411yescharacteristic
675C4×Dic11C2×D411yescharacteristic
676C4×Dic11C2411yescharacteristic
677C4×Dic11C2411yescharacteristic
678C4×Dic11C2411yescharacteristic
679#4318—22no—
680C2×C11⋊C8—22no—
681C2×C11⋊C8C2411yescharacteristic
682C2×C11⋊C8C2411yescharacteristic
683C2×C11⋊C8C2411yescharacteristic
684C2×C11⋊C8C2411yescharacteristic
685Dic44—41no—
686#4314—22no—
687#4314—41no—
688#4313—22no—
689C8×D11—41no—
690#3515—111no—
691#3514—111no—
692#3400—111no—
693#3384—111no—
694#3361—111no—
695#3359—111no—
696#3356—111no—
697#3348—111no—
698#3348—111no—
699#3303—111no—
700#3303D1111yescharacteristic, complemented
701#3302—111no—
702#3296—111no—
703#3296—111no—
704#3295—111no—
705#3272—111no—
706#3267—111no—
707#3267—111no—
708#3178—111no—
709#3178—111no—
710#3167—111no—
711#3125—111no—
712#3125—111no—
713#3123—111no—
714#3123—111no—
715#3116—111no—
716#3115—111no—
717#2966—111no—
718#2946—111no—
719#2946—111no—
720C4×#135—111no—
721C23×C11—21no—
722C23×C11—21no—
723C23×C11C22×D411yescharacteristic
724C23×C11C22×D411yescharacteristic
725C22×D11—21no—
726C22×D11—21no—
727C22×D11—42no—
728C22×D11—42no—
729C22×D11—81no—
730C22×D11—81no—
731C22×D11—81no—
732C22×D11—81no—
733C22×D11C22×D411yescharacteristic
734Q8×C11—21no—
735Q8×C11—21no—
736Q8×C11—21no—
737Q8×C11—21no—
738Q8×C11—81no—
739D4×C11—21no—
740D4×C11—21no—
741D4×C11—21no—
742D4×C11—41no—
743D4×C11—42no—
744D4×C11—42no—
745D4×C11—81no—
746D4×C11—81no—
747D4×C11C2×#4112yes—
748C2×C4×C11—21no—
749C2×C4×C11—21no—
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—42no—
760C2×C4×C11—81no—
761C2×C4×C11—81no—
762C2×C4×C11C22×D411yescharacteristic
763C2×C4×C11C22×D411yescharacteristic
764C2×C4×C11C22×D411yescharacteristic
765C2×C4×C11C22×D411yescharacteristic
766C2×C4×C11C2511yescharacteristic
767C22⋊D11—22no—
768C22⋊D11—41no—
769C22⋊D11—42no—
770C22⋊D11—42no—
771C22⋊D11—42no—
772C22⋊D11—42no—
773C22⋊D11—81no—
774C22⋊D11—81no—
775C2×Dic11—22no—
776C2×Dic11—21no—
777C2×Dic11—21no—
778C2×Dic11—21no—
779C2×Dic11—21no—
780C2×Dic11—21no—
781C2×Dic11—21no—
782C2×Dic11—41no—
783C2×Dic11—42no—
784C2×Dic11—42no—
785C2×Dic11—81no—
786C2×Dic11—81no—
787C2×Dic11—81no—
788C2×Dic11—81no—
789C2×Dic11C22×D411yescharacteristic
790C2×Dic11C22×D411yescharacteristic
791C2×Dic11C22×D411yescharacteristic
792C2×Dic11C22×D411yescharacteristic
793C2×Dic11C22×D411yescharacteristic
794C2×Dic11C22×D411yescharacteristic
795C2×Dic11C22×D411yescharacteristic
796D44—21no—
797D44—21no—
798D44—21no—
799D44—42no—
800D44—81no—
801D44C2×#4112yes—
802C4×D11—21no—
803C4×D11—21no—
804C4×D11—42no—
805C4×D11—42no—
806C4×D11—81no—
807C4×D11—81no—
808C4×D11—81no—
809C4×D11—81no—
810C4×D11—81no—
811C4×D11—81no—
812Dic22—22no—
813Dic22—21no—
814Dic22—21no—
815Dic22—21no—
816Dic22—21no—
817Dic22—42no—
818Dic22—81no—
819Dic22—81no—
820C8×C11—21no—
821C8×C11—21no—
822C8×C11—21no—
823C8×C11—21no—
824C11⋊C8—21no—
825C11⋊C8—21no—
826C11⋊C8—21no—
827C11⋊C8C2×#4112yes—
828C2×AGL(1,ℤ/8)—111no—
829C2×AGL(1,ℤ/8)—111no—
830C2×#135—111no—
831#559—111no—
832#557—111no—
833#556—111no—
834#555—111no—
835#555C2×D1111yescharacteristic
836#554—111no—
837#554—111no—
838#553—221no—
839#552—111no—
840#552—111no—
841#552—221no—
842#552—221no—
843#552—221no—
844#551—221no—
845#551—221no—
846D4×Q8—111no—
847#548—221no—
848#547—111no—
849#547—111no—
850#547C2×D1111yescharacteristic, complemented
851#546—111no—
852#546—111no—
853#546—221no—
854D42—111no—
855#542—111no—
856#542—111no—
857#541—111no—
858#541—111no—
859#539—221no—
860#539—221no—
861#538—221no—
862#538—221no—
863#533—111no—
864#532—111no—
865#529—111no—
866#529—221no—
867#529—221no—
868C2×#125—221no—
869C2×#124—221no—
870#520—111no—
871#520—111no—
872#518—111no—
873#518—111no—
874C4×#41—111no—
875C4×#41—111no—
876#501—111no—
877#501—111no—
878#498—111no—
879#497—111no—
880#497—111no—
881#492—111no—
882#488—111no—
883#488—111no—
884#487—111no—
885#487—111no—
886#487C2×D1111yescharacteristic, complemented
887#486—111no—
888#485—111no—
889#485—111no—
890#485—111no—
891#485—111no—
892#485C2×D1111yescharacteristic, complemented
893#485C2×D1111yescharacteristic, complemented
894#483—111no—
895#483—111no—
896#482—111no—
897#482—111no—
898#481—111no—
899#481—111no—
900#478—111no—
901#478—111no—
902#478—111no—
903#478—111no—
904#477—111no—
905#476—111no—
906#476—111no—
907#476C2×D1111yescharacteristic, complemented
908#475—111no—
909#475—111no—
910#475—111no—
911#474—111no—
912#470—111no—
913#470—111no—
914#468—111no—
915#468—111no—
916#467—111no—
917#467—111no—
918#465—111no—
919#465—111no—
920#465—111no—
921#465—111no—
922#465C2×D1111yescharacteristic
923#465C2×D1111yescharacteristic, complemented
924#464—111no—
925#464—111no—
926#463—111no—
927#463—111no—
928#462—111no—
929#461—111no—
930#461—111no—
931#461—111no—
932#461—111no—
933#461C2×D1111yescharacteristic, complemented
934#460—111no—
935#459—111no—
936#452—111no—
937#452—111no—
938#452—111no—
939#452—111no—
940#450—111no—
941#450—111no—
942#450—111no—
943#450—111no—
944#449—111no—
945#449—111no—
946#449C2×D1111yescharacteristic
947#449C2×D1111yescharacteristic, complemented
948#446—111no—
949C8×Q8—111no—
950#442—111no—
951#442—111no—
952#442—111no—
953#442—111no—
954#441—111no—
955#441—111no—
956#440—111no—
957#440—111no—
958#440—111no—
959#440—111no—
960#440—111no—
961#440—111no—
962C4×Q16—111no—
963C4×Q16—111no—
964C4×SD16—111no—
965C4×SD16—111no—
966C4×SD16—111no—
967C4×SD16—111no—
968C4×SD16—111no—
969C4×SD16—111no—
970C4×SD16—111no—
971C4×SD16—111no—
972C4×SD16—111no—
973C4×SD16—111no—
974C4×D8—111no—
975C4×D8—111no—
976C4×D8—111no—
977C4×D8C2×D1111yescharacteristic, complemented
978#436—111no—
979#435—111no—
980#435—111no—
981C8×D4—111no—
982C8×D4—111no—
983C8×D4C2×D1111yescharacteristic, complemented
984#433—111no—
985#433—111no—
986#432—111no—
987#428—111no—
988#428—111no—
989#427—111no—
990#416—111no—
991#416—111no—
992#416C2×D1111yescharacteristic, complemented
993#416C2×D1111yescharacteristic, complemented
994C2×#102—111no—
995C2×#102—111no—
996#405—111no—
997#405—111no—
998C2×C4×C8—111no—
999C22×C11—21no—
1000C22×C11—21no—
1001C22×C11—21no—
1002C22×C11—21no—
1003C22×C11—22no—
1004C22×C11—21no—
1005C22×C11—21no—
1006C22×C11—41no—
1007C22×C11—41no—
1008C22×C11—41no—
1009C22×C11—41no—
1010C22×C11—41no—
1011C22×C11C23×D411yescharacteristic
1012C2×D11—21no—
1013C2×D11—22no—
1014C2×D11—21no—
1015C2×D11—21no—
1016C2×D11—41no—
1017C2×D11—41no—
1018C2×D11—41no—
1019C2×D11—41no—
1020C2×D11—41no—
1021C2×D11—162no—
1022C2×D11—162no—
1023C4×C11—21no—
1024C4×C11—21no—
1025C4×C11—21no—
1026C4×C11—21no—
1027C4×C11—41no—
1028C4×C11—41no—
1029C4×C11—41no—
1030C4×C11—41no—
1031C4×C11—41no—
1032C4×C11—41no—
1033C4×C11C22×#4111yescharacteristic
1034C4×C11#58511yescharacteristic
1035Dic11—21no—
1036Dic11—21no—
1037Dic11—21no—
1038Dic11—21no—
1039Dic11—21no—
1040Dic11—21no—
1041Dic11—41no—
1042Dic11—41no—
1043Dic11—41no—
1044Dic11—41no—
1045Dic11—41no—
1046Dic11—41no—
1047Dic11#57712yes—
1048C2×#41—111no—
1049C2×#41—111no—
1050C2×#41—221no—
1051C2×#41C22×D1111yescharacteristic
1052C2×#41C22×D1111yescharacteristic
1053C22×Q8—221no—
1054C22×D4—111no—
1055C22×D4—111no—
1056C22×D4—221no—
1057AGL(1,ℤ/8)—224no—
1058AGL(1,ℤ/8)—224no—
1059#135—224no—
1060C2×Q16—111no—
1061C2×Q16—111no—
1062C2×Q16—111no—
1063C2×SD16—111no—
1064C2×SD16—111no—
1065C2×SD16—111no—
1066C2×SD16—111no—
1067C2×SD16—111no—
1068C2×SD16—111no—
1069C2×SD16—111no—
1070C2×SD16—111no—
1071C2×SD16C22×D1111yescharacteristic
1072C2×SD16C22×D1111yescharacteristic
1073C2×D8—111no—
1074C2×D8—111no—
1075C2×D8C22×D1111yescharacteristic
1076C2×M16—111no—
1077C2×M16—111no—
1078C22×C8—111no—
1079C22×C8—111no—
1080C22×C8C22×D1111yescharacteristic
1081C22×C8C22×D1111yescharacteristic
1082C4⋊Q8—111no—
1083C4⋊Q8—111no—
1084C4⋊Q8—111no—
1085C4⋊Q8—111no—
1086C4⋊Q8—111no—
1087C4⋊Q8C22×D1111yescharacteristic
1088C4⋊Q8C22×D1111yescharacteristic
1089#127—111no—
1090#126—111no—
1091#126—111no—
1092#126—221no—
1093#126—221no—
1094#126—221no—
1095#126—221no—
1096#126—221no—
1097#126—221no—
1098#126—221no—
1099#126—221no—
1100#126—221no—
1101#126—221no—
1102#125—111no—
1103#125—111no—
1104#125—111no—
1105#125—221no—
1106#125—221no—
1107#125—221no—
1108#125—221no—
1109#125—221no—
1110#125—221no—
1111#125—221no—
1112#125—221no—
1113#125—221no—
1114#125—221no—
1115#125—221no—
1116#124—21no—
1117#124—21no—
1118#124—111no—
1119#124—111no—
1120#124—111no—
1121#124—221no—
1122#124—221no—
1123#124—221no—
1124#124—221no—
1125#124—221no—
1126#124—221no—
1127#124—221no—
1128#123—21no—
1129#123—21no—
1130#123—111no—
1131#123—111no—
1132#123—221no—
1133#123—221no—
1134#123—221no—
1135#123—221no—
1136#123—221no—
1137#123—221no—
1138#123—221no—
1139#123—221no—
1140#123—221no—
1141#123—221no—
1142#123—221no—
1143#123—221no—
1144C22⋊Q8—111no—
1145C22⋊Q8—111no—
1146C22⋊Q8—111no—
1147C22⋊Q8—111no—
1148C22⋊Q8—111no—
1149C22⋊Q8—111no—
1150C22⋊Q8—111no—
1151C22⋊Q8—221no—
1152C22⋊Q8—221no—
1153C22⋊Q8—221no—
1154C22⋊Q8—221no—
1155C22⋊Q8—221no—
1156C22⋊Q8—221no—
1157C22⋊Q8—221no—
1158C22⋊Q8—221no—
1159C22⋊Q8—221no—
1160C22⋊Q8—221no—
1161C22⋊Q8—221no—
1162C22⋊Q8C22×D1111yescharacteristic
1163C22⋊Q8C22×D1111yescharacteristic
1164#121—21no—
1165#121—21no—
1166#121—111no—
1167#121—111no—
1168#121—111no—
1169#121—221no—
1170#121—221no—
1171#121—221no—
1172#121—221no—
1173#121—221no—
1174#121—221no—
1175#121—221no—
1176#121C22×D1111yescharacteristic
1177#121C22×D1111yescharacteristic
1178#120—221no—
1179#120—221no—
1180#120—221no—
1181#120—221no—
1182C4×Q8—111no—
1183C4×Q8—111no—
1184C4×Q8—111no—
1185C4×Q8—111no—
1186C4×Q8—111no—
1187C4×Q8—111no—
1188C4×Q8—111no—
1189C4×Q8—111no—
1190C4×Q8—111no—
1191C4×Q8—221no—
1192C4×Q8—221no—
1193C4×Q8—221no—
1194C4×D4—111no—
1195C4×D4—111no—
1196C4×D4—111no—
1197C4×D4—111no—
1198C4×D4—111no—
1199C4×D4—111no—
1200C4×D4—111no—
1201C4×D4—111no—
1202C4×D4—111no—
1203C4×D4—111no—
1204C4×D4—111no—
1205C4×D4—111no—
1206C4×D4—221no—
1207C4×D4—221no—
1208C4×D4—221no—
1209C4×D4—221no—
1210C4×D4—221no—
1211C4×D4—221no—
1212C4×D4—221no—
1213C4×D4—221no—
1214C4×D4—221no—
1215C4×D4—221no—
1216C4×D4—221no—
1217C4×D4—221no—
1218C4×D4—221no—
1219C4×D4—221no—
1220C4×D4—221no—
1221C4×D4C22×D1111yescharacteristic
1222C4×D4C22×D1111yescharacteristic
1223C4×D4C22×D1111yescharacteristic
1224#117—21no—
1225#117—111no—
1226#117—111no—
1227#117—111no—
1228#117—111no—
1229#117—221no—
1230#117—221no—
1231#117—221no—
1232#117—221no—
1233#117—221no—
1234#117—221no—
1235#117—221no—
1236#117—221no—
1237#117C22×D1111yescharacteristic
1238#117C22×D1111yescharacteristic
1239C2×C4⋊C4—21no—
1240C2×C4⋊C4—111no—
1241C2×C4⋊C4—111no—
1242C2×C4⋊C4—221no—
1243C2×C4⋊C4—221no—
1244C2×C4⋊C4—221no—
1245C2×C4⋊C4—221no—
1246C2×C4⋊C4—221no—
1247C2×C22⋊C4—221no—
1248C2×C22⋊C4—221no—
1249C2×C22⋊C4—221no—
1250C2×C22⋊C4—221no—
1251C2×C22⋊C4—221no—
1252C2×C22⋊C4—221no—
1253C2×C42—111no—
1254C2×C42—221no—
1255C2×C42—221no—
1256#107—111no—
1257#107—111no—
1258#107—111no—
1259#107—111no—
1260#107—111no—
1261#107C22×D1111yescharacteristic
1262#106—111no—
1263#106—111no—
1264#106—111no—
1265#106—111no—
1266#106—111no—
1267#106—111no—
1268#106—111no—
1269#106—111no—
1270#106C22×D1111yescharacteristic
1271#106C22×D1111yescharacteristic
1272C4⋊C8—111no—
1273C4⋊C8—111no—
1274C4⋊C8—111no—
1275C4⋊C8—111no—
1276C4⋊C8—111no—
1277C4⋊C8C22×D1111yescharacteristic
1278#103—111no—
1279#103—111no—
1280#103—111no—
1281#103—111no—
1282#103—111no—
1283#103—111no—
1284#103—111no—
1285#103—111no—
1286#103—111no—
1287#103—111no—
1288#103C22×D1111yescharacteristic
1289#103C22×D1111yescharacteristic
1290#103C22×D1111yescharacteristic
1291#103C22×D1111yescharacteristic
1292#103C22×D1111yescharacteristic
1293#103C22×D1111yescharacteristic
1294#102—111no—
1295#102—111no—
1296#102—111no—
1297#102—111no—
1298#102—111no—
1299#102—111no—
1300#102—111no—
1301#102—111no—
1302#102—111no—
1303#102—111no—
1304#102—111no—
1305#102—111no—
1306#102C22×D1111yescharacteristic
1307#102C22×D1111yescharacteristic
1308#102C22×D1111yescharacteristic
1309#102C22×D1111yescharacteristic
1310C22⋊C8—111no—
1311C22⋊C8—111no—
1312C22⋊C8—111no—
1313C22⋊C8—111no—
1314C22⋊C8C22×D1111yescharacteristic
1315C22⋊C8C22×D1111yescharacteristic
1316#97—111no—
1317#97—111no—
1318#97—111no—
1319#97—111no—
1320C4×C8—111no—
1321C4×C8—111no—
1322C4×C8—111no—
1323C4×C8—111no—
1324C4×C8—111no—
1325C4×C8C22×D1111yescharacteristic
1326C2×C11—41no—
1327C2×C11—41no—
1328C2×C11—42no—
1329C2×C11—81no—
1330C2×C11D4×#4111yescharacteristic
1331C2×C11C2×#57711yescharacteristic
1332C2×C11#358411yescharacteristic
1333D11—41no—
1334D11—42no—
1335D11—81no—
1336C24—221no—
1337C24—221no—
1338#41—22no—
1339#41—22no—
1340#41—41no—
1341#41—41no—
1342#41—222no—
1343#41—222no—
1344#41—441no—
1345#41—441no—
1346#41—882no—
1347C2×Q8—21no—
1348C2×Q8—111no—
1349C2×Q8—111no—
1350C2×Q8—111no—
1351C2×Q8—221no—
1352C2×Q8—221no—
1353C2×Q8—221no—
1354C2×Q8—882no—
1355C2×Q8C23×D1111yescharacteristic
1356C2×Q8C23×D1111yescharacteristic
1357C2×D4—21no—
1358C2×D4—21no—
1359C2×D4—21no—
1360C2×D4—21no—
1361C2×D4—111no—
1362C2×D4—111no—
1363C2×D4—111no—
1364C2×D4—111no—
1365C2×D4—222no—
1366C2×D4—221no—
1367C2×D4—221no—
1368C2×D4—221no—
1369C2×D4—221no—
1370C2×D4—222no—
1371C2×D4—221no—
1372C2×D4—221no—
1373C2×D4—221no—
1374C2×D4—221no—
1375C2×D4—441no—
1376C2×D4—441no—
1377C2×D4—882no—
1378C2×D4D4×D1111yescharacteristic
1379C2×D4C23×D1111yescharacteristic
1380C2×D4C23×D1111yescharacteristic
1381C22×C4—21no—
1382C22×C4—21no—
1383C22×C4—21no—
1384C22×C4—21no—
1385C22×C4—111no—
1386C22×C4—111no—
1387C22×C4—111no—
1388C22×C4—221no—
1389C22×C4—221no—
1390C22×C4—221no—
1391C22×C4—221no—
1392C22×C4—221no—
1393C22×C4—221no—
1394C22×C4—221no—
1395C22×C4—221no—
1396C22×C4—221no—
1397C22×C4—221no—
1398C22×C4—221no—
1399C22×C4—221no—
1400C22×C4—221no—
1401C22×C4—221no—
1402C22×C4C23×D1111yescharacteristic
1403C22×C4C23×D1111yescharacteristic
1404Q16—222no—
1405Q16—441no—
1406Q16—441no—
1407SD16—41no—
1408SD16—41no—
1409SD16—222no—
1410SD16—222no—
1411SD16—222no—
1412SD16—222no—
1413SD16—222no—
1414SD16—222no—
1415SD16—441no—
1416SD16—441no—
1417D8—22no—
1418D8—114no—
1419D8—222no—
1420M16—222no—
1421M16—222no—
1422C2×C8—41no—
1423C2×C8—41no—
1424C2×C8—111no—
1425C2×C8—111no—
1426C2×C8—111no—
1427C2×C8—111no—
1428C2×C8—222no—
1429C2×C8—441no—
1430C2×C8C23×D1111yescharacteristic
1431C2×C8C23×D1111yescharacteristic
1432C2×C8C23×D1111yescharacteristic
1433C2×C8C23×D1111yescharacteristic
1434C4⋊C4—21no—
1435C4⋊C4—21no—
1436C4⋊C4—21no—
1437C4⋊C4—21no—
1438C4⋊C4—21no—
1439C4⋊C4—111no—
1440C4⋊C4—111no—
1441C4⋊C4—111no—
1442C4⋊C4—111no—
1443C4⋊C4—111no—
1444C4⋊C4—111no—
1445C4⋊C4—111no—
1446C4⋊C4—111no—
1447C4⋊C4—111no—
1448C4⋊C4—111no—
1449C4⋊C4—111no—
1450C4⋊C4—111no—
1451C4⋊C4—111no—
1452C4⋊C4—221no—
1453C4⋊C4—221no—
1454C4⋊C4—221no—
1455C4⋊C4—221no—
1456C4⋊C4—221no—
1457C4⋊C4—221no—
1458C4⋊C4—221no—
1459C4⋊C4—221no—
1460C4⋊C4—221no—
1461C4⋊C4—221no—
1462C4⋊C4—221no—
1463C4⋊C4—221no—
1464C4⋊C4—221no—
1465C4⋊C4—221no—
1466C4⋊C4—221no—
1467C4⋊C4—221no—
1468C4⋊C4—221no—
1469C4⋊C4—221no—
1470C4⋊C4—221no—
1471C4⋊C4—221no—
1472C4⋊C4—221no—
1473C4⋊C4—221no—
1474C4⋊C4—221no—
1475C4⋊C4—221no—
1476C4⋊C4—221no—
1477C4⋊C4—221no—
1478C4⋊C4—221no—
1479C4⋊C4D4×D1111yescharacteristic
1480C4⋊C4C23×D1111yescharacteristic
1481C4⋊C4C23×D1111yescharacteristic
1482C4⋊C4C23×D1111yescharacteristic
1483C4⋊C4C23×D1111yescharacteristic
1484C22⋊C4—21no—
1485C22⋊C4—21no—
1486C22⋊C4—21no—
1487C22⋊C4—21no—
1488C22⋊C4—21no—
1489C22⋊C4—21no—
1490C22⋊C4—21no—
1491C22⋊C4—21no—
1492C22⋊C4—111no—
1493C22⋊C4—111no—
1494C22⋊C4—111no—
1495C22⋊C4—111no—
1496C22⋊C4—111no—
1497C22⋊C4—111no—
1498C22⋊C4—111no—
1499C22⋊C4—111no—
1500C22⋊C4—221no—
1501C22⋊C4—221no—
1502C22⋊C4—221no—
1503C22⋊C4—221no—
1504C22⋊C4—221no—
1505C22⋊C4—221no—
1506C22⋊C4—221no—
1507C22⋊C4—221no—
1508C22⋊C4—221no—
1509C22⋊C4—221no—
1510C22⋊C4—221no—
1511C22⋊C4—221no—
1512C22⋊C4—221no—
1513C22⋊C4—221no—
1514C22⋊C4—221no—
1515C22⋊C4—221no—
1516C22⋊C4—221no—
1517C22⋊C4—221no—
1518C22⋊C4—221no—
1519C22⋊C4—221no—
1520C22⋊C4—221no—
1521C22⋊C4—221no—
1522C22⋊C4—221no—
1523C22⋊C4—221no—
1524C22⋊C4D4×D1111yescharacteristic
1525C22⋊C4D4×D1111yescharacteristic
1526C42—21no—
1527C42—21no—
1528C42—111no—
1529C42—111no—
1530C42—111no—
1531C42—111no—
1532C42—111no—
1533C42—221no—
1534C42—221no—
1535C42—221no—
1536C42—221no—
1537C42—221no—
1538C42—221no—
1539C42—221no—
1540C42—221no—
1541C42—221no—
1542C42—221no—
1543C42C23×D1111yescharacteristic
1544C11#6149311yescharacteristic, complemented, Sylow
1545C23—21no—
1546C23—21no—
1547C23—111no—
1548C23—221no—
1549C23—221no—
1550C23—442no—
1551C23—442no—
1552C23—881no—
1553C23—881no—
1554C23—881no—
1555C23—881no—
1556C23C2×D4×D1111yescharacteristic
1557C23C2×D4×D1111yescharacteristic
1558Q8—21no—
1559Q8—21no—
1560Q8—21no—
1561Q8—21no—
1562Q8—81no—
1563Q8—222no—
1564Q8—221no—
1565Q8—221no—
1566Q8—221no—
1567Q8—221no—
1568Q8—442no—
1569Q8—881no—
1570Q8—881no—
1571D4—21no—
1572D4—21no—
1573D4—21no—
1574D4—41no—
1575D4—42no—
1576D4—42no—
1577D4—81no—
1578D4—81no—
1579D4—112no—
1580D4—222no—
1581D4—221no—
1582D4—221no—
1583D4—221no—
1584D4—442no—
1585D4—442no—
1586D4—441no—
1587D4—442no—
1588D4—442no—
1589D4—442no—
1590D4—881no—
1591D4—881no—
1592D4—881no—
1593D4#41×D1112yes—
1594C2×C4—21no—
1595C2×C4—21no—
1596C2×C4—21no—
1597C2×C4—21no—
1598C2×C4—21no—
1599C2×C4—21no—
1600C2×C4—21no—
1601C2×C4—21no—
1602C2×C4—21no—
1603C2×C4—21no—
1604C2×C4—42no—
1605C2×C4—42no—
1606C2×C4—81no—
1607C2×C4—81no—
1608C2×C4—111no—
1609C2×C4—111no—
1610C2×C4—111no—
1611C2×C4—111no—
1612C2×C4—111no—
1613C2×C4—111no—
1614C2×C4—111no—
1615C2×C4—222no—
1616C2×C4—221no—
1617C2×C4—221no—
1618C2×C4—221no—
1619C2×C4—221no—
1620C2×C4—221no—
1621C2×C4—221no—
1622C2×C4—221no—
1623C2×C4—221no—
1624C2×C4—442no—
1625C2×C4—442no—
1626C2×C4—442no—
1627C2×C4—441no—
1628C2×C4—442no—
1629C2×C4—881no—
1630C2×C4—881no—
1631C2×C4—881no—
1632C2×C4—881no—
1633C2×C4—881no—
1634C2×C4—881no—
1635C2×C4—881no—
1636C2×C4—881no—
1637C2×C4—881no—
1638C2×C4—881no—
1639C2×C4C2×D4×D1111yescharacteristic
1640C2×C4C2×D4×D1111yescharacteristic
1641C2×C4C2×D4×D1111yescharacteristic
1642C2×C4C2×D4×D1111yescharacteristic
1643C2×C4C24×D1111yescharacteristic
1644C8—21no—
1645C8—21no—
1646C8—21no—
1647C8—21no—
1648C8—112no—
1649C8—221no—
1650C8—221no—
1651C8—221no—
1652C22—21no—
1653C22—21no—
1654C22—21no—
1655C22—21no—
1656C22—22no—
1657C22—21no—
1658C22—21no—
1659C22—41no—
1660C22—41no—
1661C22—41no—
1662C22—41no—
1663C22—41no—
1664C22—221no—
1665C22—221no—
1666C22—222no—
1667C22—221no—
1668C22—441no—
1669C22—441no—
1670C22—441no—
1671C22—441no—
1672C22—441no—
1673C22—1762no—
1674C22—1762no—
1675C22C22×D4×D1111yescharacteristic
1676C4—21no—
1677C4—21no—
1678C4—21no—
1679C4—21no—
1680C4—41no—
1681C4—41no—
1682C4—41no—
1683C4—41no—
1684C4—41no—
1685C4—41no—
1686C4—112no—
1687C4—221no—
1688C4—221no—
1689C4—221no—
1690C4—221no—
1691C4—221no—
1692C4—221no—
1693C4—441no—
1694C4—441no—
1695C4—441no—
1696C4—441no—
1697C4—441no—
1698C4—441no—
1699C4C2×#41×D1111yescharacteristic
1700C4#1062345511yescharacteristic
1701C2—41no—
1702C2—41no—
1703C2—42no—
1704C2—81no—
1705C2—441no—
1706C2—442no—
1707C2—881no—
1708C2#1308210011yescharacteristic
1709C2D11×#57711yescharacteristic
1710C2#1308338511yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3303C2
socleC22×C11C23×D4
hypercenter#3303D11
hypocenterC11#61493
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3303

Complements

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

NH ≅ G/Ntype
1. #13082581C2semidirect
2. #13082573C2semidirect
3. #13081664C2semidirect
4. #13081510C2semidirect
5. #13081277C2semidirect
6. #13081255C2semidirect
7. #13081229C2semidirect
8. #13081135C2semidirect
9. #13081131C2semidirect
10. #13080540C2semidirect
11. #13080529C2semidirect
12. #13080453C2semidirect
13. #13080446C2semidirect
14. #13080435C2semidirect
15. #13080209C2semidirect
16. #13080142C2semidirect
17. #13080134C2semidirect
18. #13079291C2semidirect
19. #13079279C2semidirect
20. #13079170C2semidirect
21. #13078898C2semidirect
22. #13078894C2semidirect
23. #13078866C2semidirect
24. #13078864C2semidirect
25. #13078773C2semidirect
26. #13078760C2semidirect
27. #13077584C2semidirect
28. #13077451C2semidirect
29. #13077441C2semidirect
30. #13077384C2semidirect
31. C11×#3303C2semidirect
33. C11×#547C22semidirect
34. #10623358C22semidirect
35. #41×Dic11C22semidirect
37. #10623355C22semidirect
42. #10623262C22semidirect
44. #10623252C22semidirect
53. #10623170C22semidirect
55. #10623156C22semidirect
56. #10623153C22semidirect
67. #10623077C22semidirect
69. #10623072C22semidirect
70. #10623070C22semidirect
80. C11×#487C22semidirect
81. C11×#485C22semidirect
82. C11×#485C22semidirect
83. C11×#476C22semidirect
85. C11×#465C22semidirect
86. C11×#461C22semidirect
88. C11×#449C22semidirect
89. C4×C11×D8C22semidirect
90. C8×D4×C11C22semidirect
91. C11×#416C22semidirect
92. C11×#416C22semidirect
93. #10622852C22semidirect
94. #10622851C22semidirect
98. #10622780C22semidirect
99. #10622779C22semidirect
100. #10622777C22semidirect
102. SD16×Dic11C22semidirect
103. #10622766C22semidirect
104. #10622765C22semidirect
106. #10622729C22semidirect
107. #10622727C22semidirect
111. C8×C22⋊D11C22semidirect
112. #10622714C22semidirect
113. C2×C8×Dic11C22semidirect
114. #10622707C22semidirect
115. #10622699C22semidirect
117. #10622693C22semidirect
118. #10622665C22semidirect
119. #10622661C22semidirect
123. #10622654C22semidirect
124. #10622648C22semidirect
126. #10622631C22semidirect
127. #10622629C22semidirect
129. #10622624C22semidirect
130. #10622622C22semidirect
131. #10622611C22semidirect
132. #10622609C22semidirect
133. #10622609C22semidirect
134. #10622608C22semidirect
135. #10622504C22semidirect
137. #10622494C22semidirect
138. #10622488C22semidirect
142. #10622475C22semidirect
143. #10622469C22semidirect
144. #10622468C22semidirect
145. #10622466C22semidirect
146. #10622465C22semidirect
148. #10622458C22semidirect
149. #10622453C22semidirect
150. #10622441C22semidirect
153. #10622431C22semidirect
155. #10622430C22semidirect
156. #10622430C22semidirect
157. #10622429C22semidirect
158. #10622428C22semidirect
159. #10622427C22semidirect
160. #10622426C22semidirect
163. #10622406C22semidirect
164. #10622405C22semidirect
165. #10622405C22semidirect
166. #10622404C22semidirect
167. #10622404C22semidirect
168. #10622403C22semidirect
169. #10622403C22semidirect
170. #10622402C22semidirect
174. #10622401C22semidirect
176. #10622398C22semidirect
177. #10622396C22semidirect
179. #10622385C22semidirect
181. #10622381C22semidirect
182. #10622374C22semidirect
184. #10622372C22semidirect
185. #10622371C22semidirect
186. #10622371C22semidirect
187. #10622371C22semidirect
190. #10622369C22semidirect
191. #10622350C22semidirect
194. #10622343C22semidirect
196. #10622334C22semidirect
197. #10622333C22semidirect
198. #10622332C22semidirect
199. #10622310C22semidirect
201. #10622302C22semidirect
202. C8×Dic22C22semidirect
605. #4323#41semidirect
700. #3303D11semidirect
850. #547C2×D11semidirect
886. #487C2×D11semidirect
892. #485C2×D11semidirect
893. #485C2×D11semidirect
907. #476C2×D11semidirect
923. #465C2×D11semidirect
933. #461C2×D11semidirect
947. #449C2×D11semidirect
977. C4×D8C2×D11semidirect
983. C8×D4C2×D11semidirect
992. #416C2×D11semidirect
993. #416C2×D11semidirect
1544. C11#61493semidirect

Maximal subgroups

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

subgroupindex
#130825812
#130825732
#130816642
#130815102
#130812772
#130812552
#130812292
#130811352
#130811312
#130805402
#130805292
#130804532
#130804462
#130804352
#130802092
#130801422
#130801342
#130792912
#130792792
#130791702
#130788982
#130788942
#130788662
#130788642
#130787732
#130787602
#130775842
#130774512
#130774412
#130773842
C11×#33032
#6149311