Finite Group Databasebeta

← #15647424

Subgroups — #15647424

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#13083130C211yesmaximal, characteristic, complemented
2#13082692C211yesmaximal, characteristic, complemented
3#13081704C211yesmaximal, characteristic, complemented
4#13081701C211yesmaximal, characteristic, complemented
5#13081434C211yesmaximal, characteristic, complemented
6#13081431C211yesmaximal, characteristic, complemented
7#13080701C211yesmaximal, characteristic, complemented
8#13080692C211yesmaximal, characteristic, complemented
9#13080613C211yesmaximal, characteristic, complemented
10#13080609C211yesmaximal, characteristic, complemented
11#13080429C211yesmaximal, characteristic, complemented
12#13080422C211yesmaximal, characteristic, complemented
13#13080353C211yesmaximal, characteristic, complemented
14#13080350C211yesmaximal, characteristic, complemented
15#13080150C211yesmaximal, characteristic, complemented
16#13080149C211yesmaximal, characteristic, complemented
17#13080111C211yesmaximal, characteristic, complemented
18#13080074C211yesmaximal, characteristic, complemented
19#13080073C211yesmaximal, characteristic, complemented
20#13079922C211yesmaximal, characteristic, complemented
21#13079714C211yesmaximal, characteristic, complemented
22#13079705C211yesmaximal, characteristic, complemented
23#13079600C211yesmaximal, characteristic, complemented
24#13078876C211yesmaximal, characteristic, complemented
25#13078871C211yesmaximal, characteristic, complemented
26#13078733C211yesmaximal, characteristic, complemented
27#13078159C211yesmaximal, characteristic, complemented
28#13078152C211yesmaximal, characteristic, complemented
29C2×#10622779C211yesmaximal, characteristic, complemented
30#13077756C211yesmaximal, characteristic, complemented
31C11×#3265C211yesmaximal, characteristic, complemented
32C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
33C22×C11×SD16C2211yescharacteristic
34C11×#548C2211yescharacteristic, complemented
35D42×C11C2211yescharacteristic
36#10623365C2211yescharacteristic, complemented
37#10623358C2211yescharacteristic, complemented
38C2×#67003C2211yescharacteristic, complemented
39#10623348C2211yescharacteristic, complemented
40C2×Q8×Dic11C2211yescharacteristic, complemented
41C22×#4326C2211yescharacteristic, complemented
42#10623337—21no—
43#10623337C2211yescharacteristic
44#10623336C2211yescharacteristic
45#10623335—21no—
46D4×C22⋊D11C2211yescharacteristic
47C2×#66989C2211yescharacteristic
48C2×#66969C2211yescharacteristic, complemented
49C2×#66967C2211yescharacteristic, complemented
50#10623246C2211yescharacteristic
51#10623244C2211yescharacteristic
52#10623213—21no—
53#10623213C2211yescharacteristic, complemented
54#10623212—21no—
55#10623212C2211yescharacteristic, complemented
56#10623174—21no—
57#10623174C2211yescharacteristic, complemented
58#10623166—21no—
59#10623166C2211yescharacteristic, complemented
60#10623152—21no—
61#10623144—21no—
62#10623143C2211yescharacteristic
63#10623142—21no—
64#10623142C2211yescharacteristic, complemented
65#10623134C2211yescharacteristic
66#10623129C2211yescharacteristic
67#10623127—21no—
68#10623127C2211yescharacteristic
69#10623127C2211yescharacteristic, complemented
70#10623125—21no—
71#10623124—21no—
72#10623124—21no—
73#10623122—21no—
74#10623105C2211yescharacteristic, complemented
75Q8×Dic22C2211yescharacteristic, complemented
76#10623092C2211yescharacteristic
77#10623090C2211yescharacteristic
78#10623086—21no—
79#10623086C2211yescharacteristic, complemented
80#10623083C2211yescharacteristic
81#10623069—21no—
82#10623069C2211yescharacteristic
83C11×#496C2211yescharacteristic
84C11×#468C2211yescharacteristic
85C11×#466C2211yescharacteristic, complemented
86C11×#463C2211yescharacteristic, complemented
87C11×#460C2211yescharacteristic
88C11×#450C2211yescharacteristic, complemented
89C11×#449C2211yescharacteristic
90C11×#448C2211yescharacteristic, complemented
91C11×#447C2211yescharacteristic
92C11×#440C2211yescharacteristic, complemented
93C11×#435C2211yescharacteristic, complemented
94#10622852C2211yescharacteristic, complemented
95#10622840C2211yescharacteristic, complemented
96#10622830C2211yescharacteristic
97#10622830C2211yescharacteristic, complemented
98C2×#66896C2211yescharacteristic
99C2×#66896C2211yescharacteristic, complemented
100#10622789C2211yescharacteristic
101#10622787C2211yescharacteristic
102#10622786C2211yescharacteristic, complemented
103#10622785C2211yescharacteristic
104#10622782C2211yescharacteristic, complemented
105#10622781C2211yescharacteristic, complemented
106#10622779C2211yescharacteristic, complemented
107#10622779C2211yescharacteristic, complemented
108#10622779C2211yescharacteristic, complemented
109#10622779C2211yescharacteristic, complemented
110#10622779C2211yescharacteristic, complemented
111#10622779C2211yescharacteristic, complemented
112#10622779C2211yescharacteristic, complemented
113#10622779C2211yescharacteristic, complemented
114#10622779C2211yescharacteristic, complemented
115#10622778C2211yescharacteristic, complemented
116#10622777C2211yescharacteristic, complemented
117#10622777C2211yescharacteristic, complemented
118#10622777C2211yescharacteristic, complemented
119#10622776C2211yescharacteristic
120#10622776C2211yescharacteristic, complemented
121#10622776C2211yescharacteristic, complemented
122#10622771C2211yescharacteristic, complemented
123#10622770C2211yescharacteristic
124#10622769C2211yescharacteristic, complemented
125#10622767C2211yescharacteristic, complemented
126#10622767C2211yescharacteristic, complemented
127#10622766C2211yescharacteristic, complemented
128#10622766C2211yescharacteristic, complemented
129#10622766C2211yescharacteristic, complemented
130#10622763C2211yescharacteristic
131#10622763C2211yescharacteristic, complemented
132#10622763C2211yescharacteristic, complemented
133D8×Dic11C2211yescharacteristic, complemented
134#10622747C2211yescharacteristic, complemented
135#10622746C2211yescharacteristic, complemented
136#10622740C2211yescharacteristic, complemented
137#10622732C2211yescharacteristic, complemented
138#10622728C2211yescharacteristic, complemented
139#10622724C2211yescharacteristic, complemented
140C2×#66880C2211yescharacteristic, complemented
141C2×Dic11⋊C8C2211yescharacteristic, complemented
142#10622685C2211yescharacteristic
143#10622683C2211yescharacteristic
144#10622672C2211yescharacteristic, complemented
145#10622667C2211yescharacteristic, complemented
146#10622664C2211yescharacteristic, complemented
147#10622660C2211yescharacteristic, complemented
148#10622653C2211yescharacteristic, complemented
149#10622651C2211yescharacteristic
150#10622651C2211yescharacteristic, complemented
151#10622651C2211yescharacteristic, complemented
152#10622646C2211yescharacteristic
153#10622646C2211yescharacteristic, complemented
154C4×#4326C2211yescharacteristic, complemented
155#10622641C2211yescharacteristic, complemented
156C4×#4323C2211yescharacteristic, complemented
157D4×C11⋊C8C2211yescharacteristic, complemented
158#10622620C2211yescharacteristic, complemented
159#10622503C2211yescharacteristic, complemented
160#10622503C2211yescharacteristic, complemented
161#10622497C2211yescharacteristic, complemented
162#10622488C2211yescharacteristic, complemented
163#10622463C2211yescharacteristic, complemented
164#10622457C2211yescharacteristic, complemented
165#10622452C2211yescharacteristic, complemented
166#10622444C2211yescharacteristic, complemented
167#10622430C2211yescharacteristic, complemented
168#10622430C2211yescharacteristic, complemented
169#10622426C2211yescharacteristic, complemented
170#10622423C2211yescharacteristic, complemented
171#10622411C2211yescharacteristic, complemented
172#10622407C2211yescharacteristic, complemented
173#10622407C2211yescharacteristic, complemented
174#10622403C2211yescharacteristic, complemented
175#10622400C2211yescharacteristic, complemented
176#10622400C2211yescharacteristic, complemented
177#10622399C2211yescharacteristic, complemented
178#10622399C2211yescharacteristic, complemented
179#10622393C2211yescharacteristic, complemented
180#10622387C2211yescharacteristic
181#10622384C2211yescharacteristic, complemented
182D11×#102C2211yescharacteristic, complemented
183#10622378C2211yescharacteristic, complemented
184#10622378C2211yescharacteristic, complemented
185#10622378C2211yescharacteristic, complemented
186#10622373C2211yescharacteristic
187#10622372C2211yescharacteristic, complemented
188#10622372C2211yescharacteristic, complemented
189#10622372C2211yescharacteristic, complemented
190#10622370C2211yescharacteristic, complemented
191#10622351C2211yescharacteristic, complemented
192#10622349C2211yescharacteristic, complemented
193#10622347C2211yescharacteristic, complemented
194#10622343C2211yescharacteristic, complemented
195(C22⋊D11)⋊C8C2211yescharacteristic, complemented
196#10622335C2211yescharacteristic, complemented
197#10622333C2211yescharacteristic, complemented
198#10622332C2211yescharacteristic, complemented
199#10622327C2211yescharacteristic, complemented
200#10622323C2211yescharacteristic, complemented
201#10622322C2211yescharacteristic, complemented
202#10622314C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205C22×D4×C11—21no—
206C22×D4×C11C2311yescharacteristic
207C22×D4×C11C2311yescharacteristic
208C22×C22⋊D11—21no—
209C2×#4343C2311yescharacteristic
210C2×#4341—21no—
211C2×#4341—21no—
212C2×#4341—21no—
213C2×#4341—21no—
214C2×#4341C2311yescharacteristic
215C2×D4×D11C2311yescharacteristic
216C2×#4339C2311yescharacteristic
217C22×Dic22C2311yescharacteristic
218C11×AGL(1,ℤ/8)—42no—
219C2×C11×SD16—42no—
220C2×C11×SD16C2311yescharacteristic
221C2×C11×SD16C2311yescharacteristic
222C2×C11×SD16C2311yescharacteristic
223C2×C11×SD16C2311yescharacteristic
224C2×C11×SD16C2311yescharacteristic
225C2×C11×SD16C2311yescharacteristic
226C2×C11×D8C2311yescharacteristic
227C2×C11×D8C2311yescharacteristic
228C2×C11×D8C2311yescharacteristic
229C2×C11×M16C2311yescharacteristic
230C22×C8×C11C2311yescharacteristic
231C11×#127C2311yescharacteristic
232C11×#124—21no—
233C11×#124C2311yescharacteristic
234C11×C22⋊Q8—21no—
235C11×C22⋊Q8C2311yescharacteristic
236C11×#121—21no—
237C11×#121—21no—
238C11×#121C2311yescharacteristic
239C11×#121C2311yescharacteristic
240C11×#121C2311yescharacteristic
241C11×#120—21no—
242C11×#120—21no—
243C4×Q8×C11C2311yescharacteristic
244C4×D4×C11—21no—
245C4×D4×C11C2311yescharacteristic
246C4×D4×C11C2311yescharacteristic
247#67006—21no—
248#67006—21no—
249#67006—21no—
250#67006—21no—
251C2×C22⋊Dic11—21no—
252C2×C22⋊Dic11—21no—
253C2×C22⋊Dic11—21no—
254#67003—42no—
255#67000—21no—
256#67000C2311yescharacteristic
257#66999—21no—
258#66999C2311yescharacteristic
259Q8×Dic11—21no—
260Q8×Dic11—21no—
261Q8×Dic11C2311yescharacteristic
262Q8×Dic11C2311yescharacteristic
263Q8×Dic11C2311yescharacteristic
264Q8×Dic11C2311yescharacteristic
265Q8×Dic11C2311yescharacteristic
266C2×#4326—42no—
267C2×#4326C2311yescharacteristic
268C2×#4326C2311yescharacteristic
269C2×#4326C2311yescharacteristic
270C2×#4326C2311yescharacteristic
271C2×#4325C2311yescharacteristic
272C2×#4325C2311yescharacteristic
273#66993—21no—
274#66993C2311yescharacteristic
275#66993C2311yescharacteristic
276#66993C2311yescharacteristic
277#66992—21no—
278#66992—21no—
279#66992—21no—
280#66992—21no—
281#66992—21no—
282#66992—21no—
283#66992—21no—
284#66992—21no—
285#66992D411yescharacteristic
286#66991—21no—
287#66991—21no—
288#66991—21no—
289#66991—21no—
290#66991C2311yescharacteristic
291#66991C2311yescharacteristic
292#66990—21no—
293#66990—21no—
294#66990—21no—
295#66990—21no—
296#66989—21no—
297#66989—21no—
298#66989—21no—
299#66989—21no—
300#66989C2311yescharacteristic
301#66989C2311yescharacteristic
302#66989C2311yescharacteristic
303#66989C2311yescharacteristic
304#66989C2311yescharacteristic
305#66988—21no—
306#66988—21no—
307#66988—21no—
308#66988—21no—
309#66988—21no—
310#66988D411yescharacteristic
311D4×Dic11—21no—
312D4×Dic11—21no—
313D4×Dic11—21no—
314D4×Dic11—21no—
315D4×Dic11C2311yescharacteristic
316D4×Dic11C2311yescharacteristic
317D4×Dic11C2311yescharacteristic
318D4×Dic11C2311yescharacteristic
319C2×#4324C2311yescharacteristic
320C2×#4324C2311yescharacteristic
321C2×#4323C2311yescharacteristic
322C2×#4323C2311yescharacteristic
323C2×#4323C2311yescharacteristic
324C2×#4323C2311yescharacteristic
325#66983—21no—
326#66983—21no—
327#66983C2311yescharacteristic
328#66983C2311yescharacteristic
329#66983C2311yescharacteristic
330#66982—21no—
331#66982—21no—
332C4×C22⋊D11—21no—
333C4×C22⋊D11—21no—
334C4×C22⋊D11—21no—
335C4×C22⋊D11C2311yescharacteristic
336C4×C22⋊D11C2311yescharacteristic
337#66979—21no—
338#66979C2311yescharacteristic
339C2×C4⋊Dic11—21no—
340C2×C4⋊Dic11—21no—
341C2×C4⋊Dic11C2311yescharacteristic
342C2×C4⋊Dic11C2311yescharacteristic
343#66977—21no—
344#66977C2311yescharacteristic
345C2×C4×Dic11—21no—
346C2×C4×Dic11C2311yescharacteristic
347C22×C11⋊C8C2311yescharacteristic
348C22×C11⋊C8C2311yescharacteristic
349#66969—42no—
350#66967—42no—
351C2×D88C2311yescharacteristic
352C2×#4314C2311yescharacteristic
353C2×#4314C2311yescharacteristic
354C2×#4313C2311yescharacteristic
355C2×C8×D11C2311yescharacteristic
356#66951—21no—
357#66951D411yescharacteristic
358#66950—21no—
359#66950—21no—
360#66950—21no—
361#66950C2311yescharacteristic
362#66949—21no—
363#66946—21no—
364#66946C2311yescharacteristic
365#66946C2311yescharacteristic
366C4⋊C4×D11—21no—
367C4⋊C4×D11C2311yescharacteristic
368#66942—21no—
369#66942D411yescharacteristic
370#66941—21no—
371#66941—21no—
372#66941C2311yescharacteristic
373#66941C2311yescharacteristic
374#66941C2311yescharacteristic
375#66940C2311yescharacteristic
376#66939—21no—
377#66939—21no—
378#66939—21no—
379#66939—21no—
380#66939D411yescharacteristic
381#66938—21no—
382#66938—21no—
383#66938—21no—
384#66938—21no—
385#66938—21no—
386#66938—21no—
387#66938—21no—
388#66938—21no—
389#66938—21no—
390#66938D411yescharacteristic
391#66936—21no—
392#66936—21no—
393#66936—21no—
394#66936—21no—
395#66936—21no—
396(C22⋊D11)⋊C4—21no—
397(C22⋊D11)⋊C4—21no—
398(C22⋊D11)⋊C4—21no—
399(C22⋊D11)⋊C4—21no—
400(C22⋊D11)⋊C4—21no—
401C22⋊C4×D11—21no—
402#66932—21no—
403#66932—21no—
404#66932—21no—
405#66932D411yescharacteristic
406#66931—21no—
407#66931—21no—
408#66931—21no—
409#66931—21no—
410#66931—21no—
411#66931D411yescharacteristic
412#66928C2311yescharacteristic
413C4×D44—21no—
414C4×D44C2311yescharacteristic
415#66925—21no—
416#66925C2311yescharacteristic
417#66922—21no—
418#66922C2311yescharacteristic
419C4×Dic22—21no—
420C4×Dic22C2311yescharacteristic
421C4×Dic22C2311yescharacteristic
422C11×#107C2311yescharacteristic
423C11×C4⋊C8C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×#103C2311yescharacteristic
426C11×#102C2311yescharacteristic
427C11×#102C2311yescharacteristic
428C11×#102C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×C22⋊C8C2311yescharacteristic
431C11×C22⋊C8C2311yescharacteristic
432C11×#97C2311yescharacteristic
433#66899C2311yescharacteristic
434#66899C2311yescharacteristic
435#66896C2311yescharacteristic
436#66896C2311yescharacteristic
437#66896C2311yescharacteristic
438#66896C2311yescharacteristic
439#66896C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445C22⋊(C11⋊C8)C2311yescharacteristic
446C22⋊(C11⋊C8)C2311yescharacteristic
447#66885C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451(C2×D11)⋊C8C2311yescharacteristic
452(C2×D11)⋊C8C2311yescharacteristic
453#66882C2311yescharacteristic
454#66882C2311yescharacteristic
455#66882C2311yescharacteristic
456#66880C2311yescharacteristic
457#66880C2311yescharacteristic
458#66880C2311yescharacteristic
459#66880C2311yescharacteristic
460#66880C2311yescharacteristic
461#66880C2311yescharacteristic
462#66879C2311yescharacteristic
463#66879C2311yescharacteristic
464#66879C2311yescharacteristic
465Dic11⋊C8C2311yescharacteristic
466Dic11⋊C8C2311yescharacteristic
467Dic11⋊C8C2311yescharacteristic
468Dic11⋊C8C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470Dic11⋊C8C2311yescharacteristic
471Dic11⋊C8C2311yescharacteristic
472Dic11⋊C8C2311yescharacteristic
473C8×Dic11C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66871C2311yescharacteristic
479#66871C2311yescharacteristic
480#66871C2311yescharacteristic
481#66871C2311yescharacteristic
482C4⋊(C11⋊C8)C2311yescharacteristic
483C4×C11⋊C8C2311yescharacteristic
484#62022—111nomaximal, Sylow
485C24×C11—21no—
486C24×C11—21no—
487C23×D11—21no—
488C11×#41—22no—
489C11×#41—41no—
490C2×Q8×C11—21no—
491C2×Q8×C11—22no—
492C2×Q8×C11—41no—
493C2×Q8×C11C2411yescharacteristic
494C2×Q8×C11C2411yescharacteristic
495C2×D4×C11—21no—
496C2×D4×C11—21no—
497C2×D4×C11—21no—
498C2×D4×C11—21no—
499C2×D4×C11—21no—
500C2×D4×C11—21no—
501C2×D4×C11—21no—
502C2×D4×C11—21no—
503C2×D4×C11—41no—
504C2×D4×C11—41no—
505C2×D4×C11—41no—
506C2×D4×C11—41no—
507C2×D4×C11—82no—
508C2×D4×C11C2×D411yescharacteristic
509C2×D4×C11C2411yescharacteristic
510C2×D4×C11C2411yescharacteristic
511C2×D4×C11C2411yescharacteristic
512C2×D4×C11C2411yescharacteristic
513C22×C4×C11—21no—
514C22×C4×C11—21no—
515C22×C4×C11—21no—
516C22×C4×C11C2411yescharacteristic
517C22×C4×C11C2411yescharacteristic
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11—21no—
526C2×C22⋊D11—21no—
527C2×C22⋊D11—21no—
528C2×C22⋊D11—21no—
529C2×C22⋊D11—21no—
530C2×C22⋊D11—21no—
531C2×C22⋊D11—21no—
532C2×C22⋊D11—82no—
533C2×C22⋊D11C2×D411yescharacteristic
534C2×C22⋊D11C2×D411yescharacteristic
535C22×Dic11—21no—
536C22×Dic11—21no—
537C22×Dic11—21no—
538C22×Dic11—21no—
539C22×Dic11—21no—
540C22×Dic11—21no—
541C22×Dic11—21no—
542C22×Dic11—21no—
543C22×Dic11C2×D411yescharacteristic
544C22×Dic11C2×D411yescharacteristic
545#4343—22no—
546#4343—41no—
547#4341—41no—
548#4341—41no—
549#4341—82no—
550#4341—82no—
551#4341—82no—
552#4341—82no—
553D4×D11—41no—
554D4×D11—41no—
555#4339—41no—
556#4339—41no—
557C2×D44—21no—
558C2×D44C2411yescharacteristic
559C2×D44C2411yescharacteristic
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×D11C2411yescharacteristic
567C2×Dic22—21no—
568C2×Dic22—21no—
569C2×Dic22—21no—
570C2×Dic22—21no—
571C2×Dic22—21no—
572C2×Dic22—41no—
573C2×Dic22—41no—
574C2×Dic22C2×D411yescharacteristic
575C2×Dic22C2411yescharacteristic
576C2×Dic22C2411yescharacteristic
577C11×SD16—22no—
578C11×SD16—22no—
579C11×SD16—22no—
580C11×SD16—41no—
581C11×SD16—41no—
582C11×SD16—41no—
583C11×D8—41no—
584C11×D8—41no—
585C11×D8—41no—
586C11×M16—41no—
587C2×C8×C11—41no—
588C2×C8×C11C2411yescharacteristic
589C2×C8×C11C2411yescharacteristic
590C2×C8×C11C2411yescharacteristic
591C2×C8×C11C2411yescharacteristic
592C11×C4⋊C4—21no—
593C11×C4⋊C4—21no—
594C11×C4⋊C4C2×D411yescharacteristic
595C11×C4⋊C4C2411yescharacteristic
596C11×C4⋊C4C2411yescharacteristic
597C11×C22⋊C4—21no—
598C11×C22⋊C4—21no—
599C11×C22⋊C4—21no—
600C11×C22⋊C4—21no—
601C11×C22⋊C4—21no—
602C11×C22⋊C4—21no—
603C11×C22⋊C4—21no—
604C11×C22⋊C4C2×D411yescharacteristic
605C11×C22⋊C4C2×D411yescharacteristic
606C42×C11—21no—
607C42×C11C2411yescharacteristic
608C22⋊Dic11—21no—
609C22⋊Dic11—21no—
610C22⋊Dic11—21no—
611C22⋊Dic11—21no—
612C22⋊Dic11—21no—
613C22⋊Dic11—21no—
614C22⋊Dic11—21no—
615C22⋊Dic11—21no—
616C22⋊Dic11—21no—
617C22⋊Dic11—21no—
618C22⋊Dic11—21no—
619C22⋊Dic11—21no—
620C22⋊Dic11—21no—
621C22⋊Dic11—21no—
622C22⋊Dic11—21no—
623C22⋊Dic11—21no—
624C22⋊Dic11—21no—
625C22⋊Dic11C2×D411yescharacteristic
626C22⋊Dic11C2×D411yescharacteristic
627C22⋊Dic11C2×D411yescharacteristic
628C22⋊Dic11C2×D411yescharacteristic
629#4326—22no—
630#4326—22no—
631#4326—41no—
632#4326—41no—
633#4325—22no—
634#4325—41no—
635#4324—41no—
636#4324—41no—
637#4323—41no—
638#4323—41no—
639#4323—41no—
640#4323—41no—
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
657C4⋊Dic11—21no—
658C4⋊Dic11—21no—
659C4⋊Dic11—21no—
660C4⋊Dic11—21no—
661C4⋊Dic11—21no—
662C4⋊Dic11—21no—
663C4⋊Dic11—21no—
664C4⋊Dic11—21no—
665C4⋊Dic11—21no—
666C4⋊Dic11C2×D411yescharacteristic
667C4⋊Dic11C2×D411yescharacteristic
668C4⋊Dic11C2×D411yescharacteristic
669C4⋊Dic11C2411yescharacteristic
670C4⋊Dic11C2411yescharacteristic
671C4⋊Dic11C2411yescharacteristic
672C4⋊Dic11C2411yescharacteristic
673Dic11⋊C4—21no—
674Dic11⋊C4—21no—
675Dic11⋊C4—21no—
676Dic11⋊C4—21no—
677Dic11⋊C4—21no—
678Dic11⋊C4—21no—
679Dic11⋊C4—21no—
680Dic11⋊C4—21no—
681Dic11⋊C4C2×D411yescharacteristic
682Dic11⋊C4C2×D411yescharacteristic
683Dic11⋊C4C2×D411yescharacteristic
684Dic11⋊C4C2×D411yescharacteristic
685Dic11⋊C4C2×D411yescharacteristic
686Dic11⋊C4C2×D411yescharacteristic
687C4×Dic11—21no—
688C4×Dic11—21no—
689C4×Dic11—21no—
690C4×Dic11—21no—
691C4×Dic11—21no—
692C4×Dic11—21no—
693C4×Dic11—21no—
694C4×Dic11C2×D411yescharacteristic
695C4×Dic11C2×D411yescharacteristic
696C4×Dic11C2411yescharacteristic
697C4×Dic11C2411yescharacteristic
698C4×Dic11C2411yescharacteristic
699C2×C11⋊C8—41no—
700C2×C11⋊C8—41no—
701C2×C11⋊C8C2411yescharacteristic
702C2×C11⋊C8C2411yescharacteristic
703C2×C11⋊C8C2411yescharacteristic
704C2×C11⋊C8C2411yescharacteristic
705D88—41no—
706#4314—41no—
707#4314—41no—
708#4313—41no—
709C8×D11—41no—
710#3558—111no—
711#3522—111no—
712#3403—111no—
713#3403—111no—
714#3375—111no—
715#3375—111no—
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#3265D1111yescharacteristic, complemented
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—
743C23×C11—21no—
744C23×C11—21no—
745C23×C11—42no—
746C23×C11—81no—
747C23×C11—81no—
748C23×C11—81no—
749C23×C11—81no—
750C23×C11—81no—
751C23×C11C22×D411yescharacteristic
752C23×C11C22×D411yescharacteristic
753C22×D11—21no—
754C22×D11—21no—
755C22×D11—81no—
756C22×D11—81no—
757C22×D11—81no—
758C22×D11C22×D411yescharacteristic
759Q8×C11—21no—
760Q8×C11—21no—
761Q8×C11—21no—
762Q8×C11—42no—
763Q8×C11H(5,𝔽2)12yes—
764D4×C11—22no—
765D4×C11—21no—
766D4×C11—21no—
767D4×C11—21no—
768D4×C11—21no—
769D4×C11—21no—
770D4×C11—21no—
771D4×C11—21no—
772D4×C11—21no—
773D4×C11—42no—
774D4×C11—42no—
775D4×C11—42no—
776D4×C11—81no—
777D4×C11—81no—
778D4×C11—81no—
779D4×C11—81no—
780D4×C11—81no—
781C2×C4×C11—21no—
782C2×C4×C11—21no—
783C2×C4×C11—21no—
784C2×C4×C11—21no—
785C2×C4×C11—21no—
786C2×C4×C11—21no—
787C2×C4×C11—21no—
788C2×C4×C11—21no—
789C2×C4×C11—42no—
790C2×C4×C11—42no—
791C2×C4×C11—81no—
792C2×C4×C11C22×D411yescharacteristic
793C2×C4×C11C22×D411yescharacteristic
794C2×C4×C11C22×D411yescharacteristic
795C2×C4×C11C22×D411yescharacteristic
796C2×C4×C11C2511yescharacteristic
797C22⋊D11—22no—
798C22⋊D11—41no—
799C22⋊D11—42no—
800C22⋊D11—42no—
801C22⋊D11—42no—
802C22⋊D11—81no—
803C22⋊D11—81no—
804C22⋊D11—81no—
805C22⋊D11—81no—
806C22⋊D11—81no—
807C22⋊D11—81no—
808C22⋊D11—81no—
809C22⋊D11—81no—
810C22⋊D11—81no—
811C22⋊D11—81no—
812C22⋊D11—81no—
813C2×Dic11—22no—
814C2×Dic11—21no—
815C2×Dic11—21no—
816C2×Dic11—21no—
817C2×Dic11—21no—
818C2×Dic11—21no—
819C2×Dic11—21no—
820C2×Dic11—41no—
821C2×Dic11—42no—
822C2×Dic11—81no—
823C2×Dic11—81no—
824C2×Dic11—81no—
825C2×Dic11—81no—
826C2×Dic11—81no—
827C2×Dic11—81no—
828C2×Dic11—81no—
829C2×Dic11C22×D411yescharacteristic
830C2×Dic11C22×D411yescharacteristic
831C2×Dic11C22×D411yescharacteristic
832C2×Dic11C22×D411yescharacteristic
833C2×Dic11C22×D411yescharacteristic
834C2×Dic11C22×D411yescharacteristic
835C2×Dic11C22×D411yescharacteristic
836D44—21no—
837D44—21no—
838D44—21no—
839D44—21no—
840D44—42no—
841C4×D11—21no—
842C4×D11—21no—
843C4×D11—42no—
844C4×D11—81no—
845C4×D11—81no—
846C4×D11—81no—
847C4×D11—81no—
848C4×D11—81no—
849Dic22—21no—
850Dic22—21no—
851Dic22—21no—
852Dic22—21no—
853Dic22—41no—
854Dic22—81no—
855Dic22—81no—
856Dic22—81no—
857Dic22—81no—
858Dic22—81no—
859C8×C11—21no—
860C8×C11—21no—
861C8×C11—21no—
862C8×C11—21no—
863C11⋊C8—21no—
864C11⋊C8—21no—
865C11⋊C8—21no—
866C11⋊C8—21no—
867C2×AGL(1,ℤ/8)—111no—
868C2×AGL(1,ℤ/8)C2×D1111yescharacteristic, complemented
869C2×#135—111no—
870C2×#135—111no—
871C22×Q16—111no—
872C22×SD16C2×D1111yescharacteristic
873#562—221no—
874H(3,𝔽4)—221no—
875#559—111no—
876#559—111no—
877#559—111no—
878#559—221no—
879Q82—111no—
880#554—111no—
881#554—221no—
882#550—111no—
883#548—111no—
884#548—111no—
885#548—111no—
886#548C2×D1111yescharacteristic, complemented
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—
896D42C2×D1111yescharacteristic
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#496C2×D1111yescharacteristic
922#495—111no—
923#495—111no—
924#489—111no—
925#489—111no—
926#489—111no—
927#489—111no—
928#486—111no—
929#486—111no—
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#477—111no—
940#474—111no—
941#474—111no—
942#474—111no—
943#474—111no—
944#474—111no—
945#474—111no—
946#468—111no—
947#468—111no—
948#468—111no—
949#468C2×D1111yescharacteristic
950#467—111no—
951#467—111no—
952#466—111no—
953#466—111no—
954#466—111no—
955#466—111no—
956#466—111no—
957#466C2×D1111yescharacteristic, complemented
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#464—111no—
969#464—111no—
970#463—111no—
971#463—111no—
972#463—111no—
973#463—111no—
974#463—111no—
975#463—111no—
976#463—111no—
977#463C2×D1111yescharacteristic, complemented
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#450C2×D1111yescharacteristic, complemented
994#449—111no—
995#449—111no—
996#449—111no—
997#449C2×D1111yescharacteristic
998#448—111no—
999#448—111no—
1000#448—111no—
1001#448C2×D1111yescharacteristic, complemented
1002#447—111no—
1003#447—111no—
1004#447—111no—
1005#447C2×D1111yescharacteristic
1006#446—111no—
1007#446—111no—
1008#440—111no—
1009#440—111no—
1010#440—111no—
1011#440—111no—
1012#440—111no—
1013#440—111no—
1014#440—111no—
1015#440C2×D1111yescharacteristic, complemented
1016C4×Q16—111no—
1017C4×Q16—111no—
1018C4×D8—111no—
1019C4×D8—111no—
1020#435—111no—
1021#435—111no—
1022#435—111no—
1023#435C2×D1111yescharacteristic, complemented
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—21no—
1039C22×C11—21no—
1040C22×C11—21no—
1041C22×C11—21no—
1042C22×C11—21no—
1043C22×C11—41no—
1044C22×C11—41no—
1045C22×C11—41no—
1046C22×C11—41no—
1047C22×C11—41no—
1048C22×C11—41no—
1049C22×C11—41no—
1050C22×C11—41no—
1051C22×C11—41no—
1052C22×C11—41no—
1053C22×C11—41no—
1054C22×C11—41no—
1055C22×C11—162no—
1056C22×C11—162no—
1057C22×C11#57612yes—
1058C22×C11C23×D411yescharacteristic
1059C2×D11—21no—
1060C2×D11—21no—
1061C2×D11—21no—
1062C2×D11—41no—
1063C2×D11—41no—
1064C2×D11—41no—
1065C2×D11—41no—
1066C2×D11—41no—
1067C2×D11—41no—
1068C2×D11—162no—
1069C4×C11—21no—
1070C4×C11—21no—
1071C4×C11—21no—
1072C4×C11—22no—
1073C4×C11—21no—
1074C4×C11—41no—
1075C4×C11—41no—
1076C4×C11—41no—
1077C4×C11C2×H(5,𝔽2)11yescharacteristic
1078C4×C11#58511yescharacteristic
1079Dic11—21no—
1080Dic11—21no—
1081Dic11—21no—
1082Dic11—21no—
1083Dic11—21no—
1084Dic11—21no—
1085Dic11—21no—
1086Dic11—41no—
1087Dic11—41no—
1088Dic11—41no—
1089Dic11—41no—
1090Dic11—41no—
1091Dic11—41no—
1092C2×#41—111no—
1093C2×#41—111no—
1094C2×#41—111no—
1095C2×#41—221no—
1096C2×#41—221no—
1097C2×#41—221no—
1098C2×#41—221no—
1099C2×#41C22×D1111yescharacteristic
1100C22×Q8—111no—
1101C22×Q8C22×D1111yescharacteristic
1102C22×D4—21no—
1103C22×D4—111no—
1104C22×D4—221no—
1105C22×D4C22×D1111yescharacteristic
1106C22×D4C22×D1111yescharacteristic
1107AGL(1,ℤ/8)—42no—
1108AGL(1,ℤ/8)—442no—
1109#135—442no—
1110#135—442no—
1111C2×Q16—111no—
1112C2×Q16—111no—
1113C2×Q16—111no—
1114C2×Q16—111no—
1115C2×Q16—442no—
1116C2×SD16—42no—
1117C2×SD16—111no—
1118C2×SD16—111no—
1119C2×SD16—111no—
1120C2×SD16—111no—
1121C2×SD16—111no—
1122C2×SD16—111no—
1123C2×SD16C22×D1111yescharacteristic
1124C2×SD16C22×D1111yescharacteristic
1125C2×SD16C22×D1111yescharacteristic
1126C2×SD16C22×D1111yescharacteristic
1127C2×SD16C22×D1111yescharacteristic
1128C2×SD16C22×D1111yescharacteristic
1129C2×D8—111no—
1130C2×D8—111no—
1131C2×D8—111no—
1132C2×D8—111no—
1133C2×D8—111no—
1134C2×D8C22×D1111yescharacteristic
1135C2×D8C22×D1111yescharacteristic
1136C2×D8C22×D1111yescharacteristic
1137C2×M16—111no—
1138C2×M16C22×D1111yescharacteristic
1139C22×C8—111no—
1140C22×C8—111no—
1141C22×C8—111no—
1142C22×C8C22×D1111yescharacteristic
1143C4⋊Q8—111no—
1144C4⋊Q8—111no—
1145C4⋊Q8—111no—
1146C4⋊Q8—111no—
1147C4⋊Q8—221no—
1148C4⋊Q8—221no—
1149C4⋊Q8—221no—
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—111no—
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#124—221no—
1186#124C22×D1111yescharacteristic
1187#123—111no—
1188#123—111no—
1189#123—221no—
1190#123—221no—
1191#123—221no—
1192#123—221no—
1193#123—221no—
1194#123—221no—
1195#123—221no—
1196#123—221no—
1197#123—221no—
1198#123—221no—
1199#123—221no—
1200#123—221no—
1201#123—221no—
1202#123—221no—
1203#123—221no—
1204#123—221no—
1205C22⋊Q8—21no—
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⋊Q8C22×D1111yescharacteristic
1222#121—21no—
1223#121—21no—
1224#121—111no—
1225#121—111no—
1226#121—111no—
1227#121—111no—
1228#121—111no—
1229#121—111no—
1230#121—221no—
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#121C22×D1111yescharacteristic
1245#121C22×D1111yescharacteristic
1246#121C22×D1111yescharacteristic
1247#120—21no—
1248#120—21no—
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—111no—
1258C4×Q8—111no—
1259C4×Q8—111no—
1260C4×Q8—111no—
1261C4×Q8—111no—
1262C4×Q8—111no—
1263C4×Q8—111no—
1264C4×Q8—111no—
1265C4×Q8—221no—
1266C4×Q8—221no—
1267C4×Q8—221no—
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#107—111no—
1317#107—111no—
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⋊C8—111no—
1327C4⋊C8—111no—
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#103—111no—
1338#103—111no—
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#102—111no—
1356#102—111no—
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⋊C8C22×D1111yescharacteristic
1366C22⋊C8C22×D1111yescharacteristic
1367#97—111no—
1368#97—111no—
1369#97—111no—
1370#97C22×D1111yescharacteristic
1371C4×C8—111no—
1372C4×C8—111no—
1373C2×C11—22no—
1374C2×C11—41no—
1375C2×C11—81no—
1376C2×C11—81no—
1377C2×C11—81no—
1378C2×C11—81no—
1379C2×C11#348811yescharacteristic
1380C2×C11C2×#57611yescharacteristic
1381C2×C11#358611yescharacteristic
1382D11—41no—
1383D11—81no—
1384D11—81no—
1385C24—21no—
1386C24—21no—
1387C24—221no—
1388#41—22no—
1389#41—41no—
1390#41—222no—
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—22no—
1402C2×Q8—41no—
1403C2×Q8—111no—
1404C2×Q8—111no—
1405C2×Q8—111no—
1406C2×Q8—221no—
1407C2×Q8—221no—
1408C2×Q8—221no—
1409C2×Q8—221no—
1410C2×Q8—221no—
1411C2×Q8—441no—
1412C2×Q8—441no—
1413C2×Q8C23×D1111yescharacteristic
1414C2×Q8C23×D1111yescharacteristic
1415C2×D4—21no—
1416C2×D4—21no—
1417C2×D4—21no—
1418C2×D4—21no—
1419C2×D4—21no—
1420C2×D4—21no—
1421C2×D4—21no—
1422C2×D4—21no—
1423C2×D4—41no—
1424C2×D4—41no—
1425C2×D4—41no—
1426C2×D4—41no—
1427C2×D4—82no—
1428C2×D4—111no—
1429C2×D4—111no—
1430C2×D4—111no—
1431C2×D4—111no—
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—221no—
1446C2×D4—221no—
1447C2×D4—441no—
1448C2×D4—441no—
1449C2×D4—882no—
1450C2×D4D4×D1111yescharacteristic
1451C2×D4C23×D1111yescharacteristic
1452C2×D4C23×D1111yescharacteristic
1453C2×D4C23×D1111yescharacteristic
1454C2×D4C23×D1111yescharacteristic
1455C22×C4—21no—
1456C22×C4—21no—
1457C22×C4—21no—
1458C22×C4—111no—
1459C22×C4—111no—
1460C22×C4—111no—
1461C22×C4—221no—
1462C22×C4—221no—
1463C22×C4—221no—
1464C22×C4—221no—
1465C22×C4—221no—
1466C22×C4—221no—
1467C22×C4—221no—
1468C22×C4—221no—
1469C22×C4—221no—
1470C22×C4—221no—
1471C22×C4—221no—
1472C22×C4—221no—
1473C22×C4—221no—
1474C22×C4—221no—
1475C22×C4C23×D1111yescharacteristic
1476C22×C4C23×D1111yescharacteristic
1477Q16—222no—
1478Q16—222no—
1479Q16—441no—
1480Q16—441no—
1481SD16—22no—
1482SD16—22no—
1483SD16—22no—
1484SD16—41no—
1485SD16—41no—
1486SD16—41no—
1487SD16—222no—
1488SD16—441no—
1489SD16—441no—
1490SD16—441no—
1491SD16—441no—
1492SD16—441no—
1493D8—41no—
1494D8—41no—
1495D8—41no—
1496D8—441no—
1497D8—441no—
1498D8—441no—
1499D8—441no—
1500D8—441no—
1501M16—41no—
1502M16—441no—
1503C2×C8—41no—
1504C2×C8—111no—
1505C2×C8—111no—
1506C2×C8—111no—
1507C2×C8—111no—
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—111no—
1518C4⋊C4—111no—
1519C4⋊C4—111no—
1520C4⋊C4—111no—
1521C4⋊C4—111no—
1522C4⋊C4—111no—
1523C4⋊C4—111no—
1524C4⋊C4—111no—
1525C4⋊C4—111no—
1526C4⋊C4—111no—
1527C4⋊C4—111no—
1528C4⋊C4—111no—
1529C4⋊C4—111no—
1530C4⋊C4—221no—
1531C4⋊C4—221no—
1532C4⋊C4—221no—
1533C4⋊C4—221no—
1534C4⋊C4—221no—
1535C4⋊C4—221no—
1536C4⋊C4—221no—
1537C4⋊C4—221no—
1538C4⋊C4—221no—
1539C4⋊C4—221no—
1540C4⋊C4—221no—
1541C4⋊C4—221no—
1542C4⋊C4—221no—
1543C4⋊C4—221no—
1544C4⋊C4—221no—
1545C4⋊C4—221no—
1546C4⋊C4—221no—
1547C4⋊C4D4×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—21no—
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—221no—
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⋊C4D4×D1111yescharacteristic
1595C22⋊C4D4×D1111yescharacteristic
1596C42—21no—
1597C42—111no—
1598C42—111no—
1599C42—111no—
1600C42—111no—
1601C42—111no—
1602C42—221no—
1603C42—221no—
1604C42—221no—
1605C42—221no—
1606C42—221no—
1607C42—221no—
1608C42—221no—
1609C42C23×D1111yescharacteristic
1610C11#6202211yescharacteristic, complemented, Sylow
1611C23—21no—
1612C23—21no—
1613C23—21no—
1614C23—21no—
1615C23—42no—
1616C23—81no—
1617C23—81no—
1618C23—81no—
1619C23—81no—
1620C23—81no—
1621C23—111no—
1622C23—221no—
1623C23—221no—
1624C23—881no—
1625C23—881no—
1626C23—881no—
1627C23C2×D4×D1111yescharacteristic
1628C23C2×D4×D1111yescharacteristic
1629Q8—21no—
1630Q8—21no—
1631Q8—21no—
1632Q8—42no—
1633Q8—221no—
1634Q8—221no—
1635Q8—221no—
1636Q8—221no—
1637Q8—441no—
1638Q8—881no—
1639Q8—881no—
1640Q8—881no—
1641Q8—881no—
1642Q8—881no—
1643Q8#6703712yes—
1644D4—22no—
1645D4—21no—
1646D4—21no—
1647D4—21no—
1648D4—21no—
1649D4—21no—
1650D4—21no—
1651D4—21no—
1652D4—21no—
1653D4—42no—
1654D4—42no—
1655D4—42no—
1656D4—81no—
1657D4—81no—
1658D4—81no—
1659D4—81no—
1660D4—81no—
1661D4—222no—
1662D4—221no—
1663D4—221no—
1664D4—221no—
1665D4—221no—
1666D4—442no—
1667D4—441no—
1668D4—442no—
1669D4—442no—
1670D4—442no—
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—21no—
1689C2×C4—21no—
1690C2×C4—42no—
1691C2×C4—42no—
1692C2×C4—81no—
1693C2×C4—111no—
1694C2×C4—111no—
1695C2×C4—111no—
1696C2×C4—111no—
1697C2×C4—111no—
1698C2×C4—111no—
1699C2×C4—111no—
1700C2×C4—222no—
1701C2×C4—221no—
1702C2×C4—221no—
1703C2×C4—221no—
1704C2×C4—221no—
1705C2×C4—221no—
1706C2×C4—221no—
1707C2×C4—221no—
1708C2×C4—221no—
1709C2×C4—442no—
1710C2×C4—441no—
1711C2×C4—442no—
1712C2×C4—881no—
1713C2×C4—881no—
1714C2×C4—881no—
1715C2×C4—881no—
1716C2×C4—881no—
1717C2×C4—881no—
1718C2×C4—881no—
1719C2×C4—881no—
1720C2×C4—881no—
1721C2×C4—881no—
1722C2×C4—881no—
1723C2×C4—881no—
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—21no—
1738C22—21no—
1739C22—21no—
1740C22—21no—
1741C22—21no—
1742C22—41no—
1743C22—41no—
1744C22—41no—
1745C22—41no—
1746C22—41no—
1747C22—41no—
1748C22—41no—
1749C22—41no—
1750C22—41no—
1751C22—41no—
1752C22—41no—
1753C22—41no—
1754C22—162no—
1755C22—162no—
1756C22—221no—
1757C22—221no—
1758C22—221no—
1759C22—441no—
1760C22—441no—
1761C22—441no—
1762C22—441no—
1763C22—441no—
1764C22—441no—
1765C22—1762no—
1766C22#1062330512yes—
1767C22C22×D4×D1111yescharacteristic
1768C4—21no—
1769C4—21no—
1770C4—21no—
1771C4—22no—
1772C4—21no—
1773C4—41no—
1774C4—41no—
1775C4—41no—
1776C4—221no—
1777C4—221no—
1778C4—221no—
1779C4—221no—
1780C4—221no—
1781C4—221no—
1782C4—221no—
1783C4—441no—
1784C4—441no—
1785C4—441no—
1786C4—441no—
1787C4—441no—
1788C4—441no—
1789C4C2×#6703711yescharacteristic
1790C4#1062345511yescharacteristic
1791C2—22no—
1792C2—41no—
1793C2—81no—
1794C2—81no—
1795C2—81no—
1796C2—81no—
1797C2—441no—
1798C2—881no—
1799C2—881no—
1800C2#1308227611yescharacteristic
1801C2C2×#1062330511yescharacteristic
1802C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3265C2
socleC22×C11C23×D4
hypercenter#3265D11
hypocenterC11#62022
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. #13083130C2semidirect
2. #13082692C2semidirect
3. #13081704C2semidirect
4. #13081701C2semidirect
5. #13081434C2semidirect
6. #13081431C2semidirect
7. #13080701C2semidirect
8. #13080692C2semidirect
9. #13080613C2semidirect
10. #13080609C2semidirect
11. #13080429C2semidirect
12. #13080422C2semidirect
13. #13080353C2semidirect
14. #13080350C2semidirect
15. #13080150C2semidirect
16. #13080149C2semidirect
17. #13080111C2semidirect
18. #13080074C2semidirect
19. #13080073C2semidirect
20. #13079922C2semidirect
21. #13079714C2semidirect
22. #13079705C2semidirect
23. #13079600C2semidirect
24. #13078876C2semidirect
25. #13078871C2semidirect
26. #13078733C2semidirect
27. #13078159C2semidirect
28. #13078152C2semidirect
29. C2×#10622779C2semidirect
30. #13077756C2semidirect
31. C11×#3265C2semidirect
32. C2×C11×AGL(1,ℤ/8)C22semidirect
34. C11×#548C22semidirect
36. #10623365C22semidirect
37. #10623358C22semidirect
38. C2×#67003C22semidirect
39. #10623348C22semidirect
40. C2×Q8×Dic11C22semidirect
41. C22×#4326C22semidirect
48. C2×#66969C22semidirect
49. C2×#66967C22semidirect
53. #10623213C22semidirect
55. #10623212C22semidirect
57. #10623174C22semidirect
59. #10623166C22semidirect
64. #10623142C22semidirect
69. #10623127C22semidirect
74. #10623105C22semidirect
75. Q8×Dic22C22semidirect
79. #10623086C22semidirect
85. C11×#466C22semidirect
86. C11×#463C22semidirect
88. C11×#450C22semidirect
90. C11×#448C22semidirect
92. C11×#440C22semidirect
93. C11×#435C22semidirect
94. #10622852C22semidirect
95. #10622840C22semidirect
97. #10622830C22semidirect
99. C2×#66896C22semidirect
102. #10622786C22semidirect
104. #10622782C22semidirect
105. #10622781C22semidirect
106. #10622779C22semidirect
107. #10622779C22semidirect
108. #10622779C22semidirect
109. #10622779C22semidirect
110. #10622779C22semidirect
111. #10622779C22semidirect
112. #10622779C22semidirect
113. #10622779C22semidirect
114. #10622779C22semidirect
115. #10622778C22semidirect
116. #10622777C22semidirect
117. #10622777C22semidirect
118. #10622777C22semidirect
120. #10622776C22semidirect
121. #10622776C22semidirect
122. #10622771C22semidirect
124. #10622769C22semidirect
125. #10622767C22semidirect
126. #10622767C22semidirect
127. #10622766C22semidirect
128. #10622766C22semidirect
129. #10622766C22semidirect
131. #10622763C22semidirect
132. #10622763C22semidirect
133. D8×Dic11C22semidirect
134. #10622747C22semidirect
135. #10622746C22semidirect
136. #10622740C22semidirect
137. #10622732C22semidirect
138. #10622728C22semidirect
139. #10622724C22semidirect
140. C2×#66880C22semidirect
141. C2×Dic11⋊C8C22semidirect
144. #10622672C22semidirect
145. #10622667C22semidirect
146. #10622664C22semidirect
147. #10622660C22semidirect
148. #10622653C22semidirect
150. #10622651C22semidirect
151. #10622651C22semidirect
153. #10622646C22semidirect
154. C4×#4326C22semidirect
155. #10622641C22semidirect
156. C4×#4323C22semidirect
157. D4×C11⋊C8C22semidirect
158. #10622620C22semidirect
159. #10622503C22semidirect
160. #10622503C22semidirect
161. #10622497C22semidirect
162. #10622488C22semidirect
163. #10622463C22semidirect
164. #10622457C22semidirect
165. #10622452C22semidirect
166. #10622444C22semidirect
167. #10622430C22semidirect
168. #10622430C22semidirect
169. #10622426C22semidirect
170. #10622423C22semidirect
171. #10622411C22semidirect
172. #10622407C22semidirect
173. #10622407C22semidirect
174. #10622403C22semidirect
175. #10622400C22semidirect
176. #10622400C22semidirect
177. #10622399C22semidirect
178. #10622399C22semidirect
179. #10622393C22semidirect
181. #10622384C22semidirect
182. D11×#102C22semidirect
183. #10622378C22semidirect
184. #10622378C22semidirect
185. #10622378C22semidirect
187. #10622372C22semidirect
188. #10622372C22semidirect
189. #10622372C22semidirect
190. #10622370C22semidirect
191. #10622351C22semidirect
192. #10622349C22semidirect
193. #10622347C22semidirect
194. #10622343C22semidirect
195. (C22⋊D11)⋊C8C22semidirect
196. #10622335C22semidirect
197. #10622333C22semidirect
198. #10622332C22semidirect
199. #10622327C22semidirect
200. #10622323C22semidirect
201. #10622322C22semidirect
202. #10622314C22semidirect
727. #3265D11semidirect
868. C2×AGL(1,ℤ/8)C2×D11semidirect
886. #548C2×D11semidirect
957. #466C2×D11semidirect
977. #463C2×D11semidirect
993. #450C2×D11semidirect
1001. #448C2×D11semidirect
1015. #440C2×D11semidirect
1023. #435C2×D11semidirect
1610. C11#62022semidirect

Maximal subgroups

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

subgroupindex
#130831302
#130826922
#130817042
#130817012
#130814342
#130814312
#130807012
#130806922
#130806132
#130806092
#130804292
#130804222
#130803532
#130803502
#130801502
#130801492
#130801112
#130800742
#130800732
#130799222
#130797142
#130797052
#130796002
#130788762
#130788712
#130787332
#130781592
#130781522
C2×#106227792
#130777562
C11×#32652
#6202211