Finite Group Databasebeta

← #15631747

Subgroups — #15631747

Order 2816.

2116 conjugacy classes of subgroups.

The subgroup lattice has 1858 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082530C211yesmaximal, characteristic, complemented
2#13082376C211yesmaximal, characteristic, complemented
3#13080839C211yesmaximal, characteristic, complemented
4#13080819C211yesmaximal, characteristic, complemented
5#13080814C211yesmaximal, characteristic, complemented
6#13080758C211yesmaximal, characteristic, complemented
7#13080755C211yesmaximal, characteristic, complemented
8#13080716C211yesmaximal, characteristic, complemented
9#13080707C211yesmaximal, characteristic, complemented
10#13080641C211yesmaximal, characteristic, complemented
11#13080632C211yesmaximal, characteristic, complemented
12#13080593C211yesmaximal, characteristic, complemented
13#13080590C211yesmaximal, characteristic, complemented
14#13080466C211yesmaximal, characteristic, complemented
15#13080465C211yesmaximal, characteristic, complemented
16#13080456C211yesmaximal, characteristic, complemented
17#13080445C211yesmaximal, characteristic, complemented
18#13079013C211yesmaximal, characteristic, complemented
19#13078606C211yesmaximal, characteristic, complemented
20#13078597C211yesmaximal, characteristic, complemented
21D11×#478C211yesmaximal, characteristic, complemented
22#13078284C211yesmaximal, characteristic, complemented
23#13078280C211yesmaximal, characteristic, complemented
24#13078070C211yesmaximal, characteristic, complemented
25#13077924C211yesmaximal, characteristic, complemented
26#13077921C211yesmaximal, characteristic, complemented
27C4×#66967C211yesmaximal, characteristic, complemented
28#13077361C211yesmaximal, characteristic, complemented
29#13077141C211yesmaximal, characteristic, complemented
30#13077140C211yesmaximal, characteristic, complemented
31C11×#3323C211yesmaximal, characteristic, complemented
32C2×#67042C2211yescharacteristic
33C2×#67037C2211yescharacteristic
34C11×#552C2211yescharacteristic, complemented
35C11×#546C2211yescharacteristic
36#10623355C2211yescharacteristic
37D4×C22⋊D11C2211yescharacteristic
38C2×#66972C2211yescharacteristic, complemented
39C2×#66969C2211yescharacteristic, complemented
40C2×#66967C2211yescharacteristic
41C2×#66960C2211yescharacteristic, complemented
42C2×#66960C2211yescharacteristic, complemented
43#10623240—21no—
44#10623237—21no—
45#10623227—21no—
46#10623226—21no—
47#10623226C2211yescharacteristic, complemented
48D11×#125C2211yescharacteristic, complemented
49#10623207C2211yescharacteristic
50#10623199C2211yescharacteristic
51#10623194—21no—
52#10623192—21no—
53#10623186—21no—
54#10623184—21no—
55#10623173C2211yescharacteristic, complemented
56#10623170C2211yescharacteristic, complemented
57#10623162C2211yescharacteristic
58#10623160C2211yescharacteristic
59#10623160C2211yescharacteristic, complemented
60#10623160C2211yescharacteristic, complemented
61#10623141—21no—
62#10623140C2211yescharacteristic
63#10623139C2211yescharacteristic
64D11×#121—21no—
65#10623121—21no—
66#10623120—21no—
67#10623112C2211yescharacteristic, complemented
68C4×#4343C2211yescharacteristic, complemented
69#10623096C2211yescharacteristic, complemented
70#10623085C2211yescharacteristic
71#10623081C2211yescharacteristic
72#10623079C2211yescharacteristic
73C4×D4×D11C2211yescharacteristic
74#10623061—21no—
75#10623061C2211yescharacteristic, complemented
76#10623059—21no—
77#10623054C2211yescharacteristic, complemented
78#10623045C2211yescharacteristic, complemented
79#10623035C2211yescharacteristic, complemented
80#10623021—21no—
81C2×#66937—21no—
82C11×#488C2211yescharacteristic, complemented
83C11×#485C2211yescharacteristic, complemented
84C11×#481C2211yescharacteristic, complemented
85C11×#478C2211yescharacteristic, complemented
86C11×#470C2211yescharacteristic, complemented
87C11×#468C2211yescharacteristic, complemented
88C11×#464C2211yescharacteristic, complemented
89C11×#452C2211yescharacteristic, complemented
90C11×#450C2211yescharacteristic, complemented
91C4×C11×SD16C2211yescharacteristic, complemented
92C11×#436C2211yescharacteristic, complemented
93C11×#418C2211yescharacteristic, complemented
94C11×#417C2211yescharacteristic, complemented
95#10622851C2211yescharacteristic, complemented
96#10622846C2211yescharacteristic, complemented
97#10622830C2211yescharacteristic, complemented
98C2×#66896C2211yescharacteristic, complemented
99#10622802C2211yescharacteristic, complemented
100#10622800C2211yescharacteristic, complemented
101#10622795C2211yescharacteristic, complemented
102#10622787C2211yescharacteristic, complemented
103#10622786C2211yescharacteristic, complemented
104#10622782C2211yescharacteristic, complemented
105#10622782C2211yescharacteristic, complemented
106#10622777C2211yescharacteristic, complemented
107#10622776C2211yescharacteristic, complemented
108#10622748C2211yescharacteristic, complemented
109#10622747C2211yescharacteristic, complemented
110#10622746C2211yescharacteristic, complemented
111#10622744C2211yescharacteristic, complemented
112#10622740C2211yescharacteristic, complemented
113#10622740C2211yescharacteristic, complemented
114#10622681C2211yescharacteristic, complemented
115#10622679C2211yescharacteristic, complemented
116#10622670C2211yescharacteristic, complemented
117#10622669C2211yescharacteristic, complemented
118#10622664C2211yescharacteristic, complemented
119#10622661C2211yescharacteristic, complemented
120#10622661C2211yescharacteristic, complemented
121#10622660C2211yescharacteristic, complemented
122#10622659C2211yescharacteristic, complemented
123#10622657C2211yescharacteristic, complemented
124#10622651C2211yescharacteristic, complemented
125#10622648C2211yescharacteristic, complemented
126#10622641C2211yescharacteristic, complemented
127C4×#4325C2211yescharacteristic, complemented
128C4×#4323C2211yescharacteristic, complemented
129D4×C11⋊C8C2211yescharacteristic, complemented
130#10622622C2211yescharacteristic, complemented
131#10622616C2211yescharacteristic, complemented
132#10622615C2211yescharacteristic, complemented
133#10622584C2211yescharacteristic, complemented
134C2×#66873C2211yescharacteristic, complemented
135#10622504C2211yescharacteristic, complemented
136#10622499C2211yescharacteristic, complemented
137#10622495C2211yescharacteristic, complemented
138D11×#107C2211yescharacteristic, complemented
139#10622484C2211yescharacteristic, complemented
140#10622482C2211yescharacteristic, complemented
141#10622480C2211yescharacteristic, complemented
142#10622479C2211yescharacteristic, complemented
143#10622478C2211yescharacteristic, complemented
144#10622475C2211yescharacteristic, complemented
145#10622474C2211yescharacteristic, complemented
146D11×#106C2211yescharacteristic, complemented
147#10622460C2211yescharacteristic, complemented
148#10622457C2211yescharacteristic, complemented
149#10622451C2211yescharacteristic, complemented
150D11×C4⋊C8C2211yescharacteristic, complemented
151#10622431C2211yescharacteristic, complemented
152#10622430C2211yescharacteristic, complemented
153#10622427C2211yescharacteristic, complemented
154#10622426C2211yescharacteristic, complemented
155#10622424C2211yescharacteristic, complemented
156#10622422C2211yescharacteristic, complemented
157#10622420C2211yescharacteristic, complemented
158#10622420C2211yescharacteristic, complemented
159#10622417C2211yescharacteristic, complemented
160#10622417C2211yescharacteristic, complemented
161#10622416C2211yescharacteristic, complemented
162#10622416C2211yescharacteristic, complemented
163#10622416C2211yescharacteristic, complemented
164#10622416C2211yescharacteristic, complemented
165#10622410C2211yescharacteristic, complemented
166#10622410C2211yescharacteristic, complemented
167#10622399C2211yescharacteristic, complemented
168#10622398C2211yescharacteristic, complemented
169#10622397C2211yescharacteristic, complemented
170#10622394C2211yescharacteristic, complemented
171#10622390C2211yescharacteristic, complemented
172#10622388C2211yescharacteristic, complemented
173#10622386C2211yescharacteristic, complemented
174#10622386C2211yescharacteristic, complemented
175#10622385C2211yescharacteristic, complemented
176#10622385C2211yescharacteristic, complemented
177#10622384C2211yescharacteristic, complemented
178#10622384C2211yescharacteristic, complemented
179#10622384C2211yescharacteristic, complemented
180#10622383C2211yescharacteristic
181#10622383C2211yescharacteristic, complemented
182#10622383C2211yescharacteristic, complemented
183D11×#102C2211yescharacteristic
184D11×#102C2211yescharacteristic
185D11×#102C2211yescharacteristic, complemented
186D11×#102C2211yescharacteristic, complemented
187#10622379C2211yescharacteristic, complemented
188#10622377C2211yescharacteristic, complemented
189#10622377C2211yescharacteristic, complemented
190#10622376C2211yescharacteristic, complemented
191#10622349C2211yescharacteristic, complemented
192#10622347C2211yescharacteristic, complemented
193#10622345C2211yescharacteristic, complemented
194#10622343C2211yescharacteristic, complemented
195#10622343C2211yescharacteristic, complemented
196#10622340C2211yescharacteristic, complemented
197#10622340C2211yescharacteristic, complemented
198#10622336C2211yescharacteristic, complemented
199#10622310C2211yescharacteristic, complemented
200C4×D88C2211yescharacteristic, complemented
201C4×#4313C2211yescharacteristic, complemented
202C8×D44C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×D4×C11C2311yescharacteristic
205C22×C22⋊D11—21no—
206C22×C22⋊D11—21no—
207C22×C22⋊D11—21no—
208#67042—24no—
209#67042—42no—
210C2×#4343C2311yescharacteristic
211C2×#4343C2311yescharacteristic
212C2×#4343C2311yescharacteristic
213#67037—24no—
214#67037—42no—
215C2×#4341—21no—
216C2×#4341C2311yescharacteristic
217C2×#4341C2311yescharacteristic
218C2×D4×D11—21no—
219C2×D4×D11—21no—
220C2×D4×D11—21no—
221C2×D4×D11—21no—
222C2×D4×D11C2311yescharacteristic
223C2×D4×D11C2311yescharacteristic
224C2×D4×D11C2311yescharacteristic
225C2×#4339—21no—
226C2×#4339C2311yescharacteristic
227C2×#4339C2311yescharacteristic
228C2×#4339C2311yescharacteristic
229C22×D44—21no—
230C22×D44C2311yescharacteristic
231C22×C4×D11—21no—
232C2×C11×Q16C2311yescharacteristic
233C2×C11×SD16C2311yescharacteristic
234C2×C11×SD16C2311yescharacteristic
235C2×C11×M16C2311yescharacteristic
236C2×C11×M16C2311yescharacteristic
237C11×#126—21no—
238C11×#125—21no—
239C11×#125C2311yescharacteristic
240C11×#124C2311yescharacteristic
241C11×#123—21no—
242C11×#123—21no—
243C11×C22⋊Q8C2311yescharacteristic
244C11×C22⋊Q8C2311yescharacteristic
245C11×C22⋊Q8C2311yescharacteristic
246C11×#121—21no—
247C11×#121C2311yescharacteristic
248C11×#120—21no—
249C4×Q8×C11C2311yescharacteristic
250C4×D4×C11C2311yescharacteristic
251C4×D4×C11C2311yescharacteristic
252C11×#117—21no—
253C11×#117C2311yescharacteristic
254C2×C11×C4⋊C4C2311yescharacteristic
255C2×C11×C22⋊C4—21no—
256#67006—21no—
257#66999C2311yescharacteristic
258#66999C2311yescharacteristic
259#66999C2311yescharacteristic
260Q8×Dic11C2311yescharacteristic
261#66997C2311yescharacteristic
262C2×#4326C2311yescharacteristic
263C2×#4325C2311yescharacteristic
264C2×#4325C2311yescharacteristic
265C2×#4325C2311yescharacteristic
266#66993D411yescharacteristic
267#66993C2311yescharacteristic
268#66992—21no—
269#66992—21no—
270#66992—21no—
271#66992—21no—
272#66991—21no—
273#66991D411yescharacteristic
274#66991C2311yescharacteristic
275#66990—21no—
276#66990—21no—
277#66990—21no—
278#66988—21no—
279D4×Dic11C2311yescharacteristic
280C2×#4323C2311yescharacteristic
281C2×#4323C2311yescharacteristic
282#66983—21no—
283#66983—21no—
284#66983C2311yescharacteristic
285#66983C2311yescharacteristic
286#66983C2311yescharacteristic
287#66982—21no—
288C4×C22⋊D11—21no—
289C4×C22⋊D11—21no—
290C4×C22⋊D11—21no—
291C4×C22⋊D11—21no—
292C4×C22⋊D11C2311yescharacteristic
293C4×C22⋊D11C2311yescharacteristic
294C2×(C2×D11)⋊C4—21no—
295#66979C2311yescharacteristic
296C2×C4⋊Dic11C2311yescharacteristic
297#66977C2311yescharacteristic
298C2×Dic11⋊C4—21no—
299C22×C11⋊C8C2311yescharacteristic
300C22×C11⋊C8C2311yescharacteristic
301#66972—42no—
302#66969—42no—
303#66967—24no—
304#66960—42no—
305#66960—42no—
306C2×D88C2311yescharacteristic
307C2×D88C2311yescharacteristic
308C2×#4314C2311yescharacteristic
309C2×#4313C2311yescharacteristic
310C2×#4313C2311yescharacteristic
311C2×#4313C2311yescharacteristic
312C2×#4313C2311yescharacteristic
313C2×C8×D11C2311yescharacteristic
314C2×C8×D11C2311yescharacteristic
315C2×C8×D11C2311yescharacteristic
316C2×C8×D11C2311yescharacteristic
317#66951—21no—
318#66951—21no—
319#66951—21no—
320#66951—21no—
321#66950C2311yescharacteristic
322#66949—21no—
323#66949—21no—
324#66949—21no—
325#66948—21no—
326#66948—21no—
327#66948—21no—
328#66948—21no—
329#66948D411yescharacteristic
330#66948C2311yescharacteristic
331#66948C2311yescharacteristic
332#66948C2311yescharacteristic
333#66947—21no—
334#66947—21no—
335#66947—21no—
336#66947—21no—
337#66947—21no—
338#66946—21no—
339#66946—21no—
340#66946—21no—
341#66946C2311yescharacteristic
342#66946C2311yescharacteristic
343#66945—21no—
344#66945—21no—
345#66945C2311yescharacteristic
346#66945C2311yescharacteristic
347#66945C2311yescharacteristic
348C4⋊C4×D11—21no—
349C4⋊C4×D11—21no—
350C4⋊C4×D11—21no—
351C4⋊C4×D11C2311yescharacteristic
352C4⋊C4×D11C2311yescharacteristic
353C4⋊C4×D11C2311yescharacteristic
354C4⋊C4×D11C2311yescharacteristic
355C4⋊C4×D11C2311yescharacteristic
356#66943—21no—
357#66943C2311yescharacteristic
358#66943C2311yescharacteristic
359#66942—21no—
360#66942—21no—
361#66942—21no—
362#66942—21no—
363#66941D411yescharacteristic
364#66940—21no—
365#66939—21no—
366#66939—21no—
367#66938D411yescharacteristic
368#66938D411yescharacteristic
369#66937—21no—
370#66937—21no—
371#66937—21no—
372#66937—21no—
373#66937—21no—
374#66937—21no—
375#66937—21no—
376#66937—21no—
377#66937—21no—
378#66937—21no—
379#66937—21no—
380#66937—21no—
381#66937—21no—
382#66937—21no—
383#66937D411yescharacteristic
384#66937D411yescharacteristic
385#66936—21no—
386#66936—21no—
387#66936—21no—
388#66936—21no—
389#66936—21no—
390#66935—21no—
391#66935—21no—
392#66935—21no—
393(C22⋊D11)⋊C4—21no—
394(C22⋊D11)⋊C4—21no—
395(C22⋊D11)⋊C4—21no—
396(C22⋊D11)⋊C4—21no—
397(C22⋊D11)⋊C4—21no—
398(C22⋊D11)⋊C4—21no—
399C22⋊C4×D11—21no—
400C22⋊C4×D11—21no—
401C22⋊C4×D11—21no—
402#66932—21no—
403#66931—21no—
404#66930—21no—
405#66929—21no—
406#66929—21no—
407#66928C2311yescharacteristic
408C4×D44—21no—
409C4×D44—21no—
410C4×D44—21no—
411C4×D44C2311yescharacteristic
412C4×D44C2311yescharacteristic
413C4×D44C2311yescharacteristic
414#66925—21no—
415C42×D11—21no—
416C42×D11C2311yescharacteristic
417#66923C2311yescharacteristic
418C4×Dic22—21no—
419C11×#107C2311yescharacteristic
420C11×#106C2311yescharacteristic
421C11×#106C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×#103C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×#103C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#102C2311yescharacteristic
428C11×#102C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×C22⋊C8C2311yescharacteristic
434C11×C22⋊C8C2311yescharacteristic
435C4×C8×C11C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66899C2311yescharacteristic
439#66899C2311yescharacteristic
440#66896C2311yescharacteristic
441#66896C2311yescharacteristic
442#66896C2311yescharacteristic
443#66896C2311yescharacteristic
444#66896C2311yescharacteristic
445#66896C2311yescharacteristic
446C22⋊(C11⋊C8)C2311yescharacteristic
447C22⋊(C11⋊C8)C2311yescharacteristic
448#66885C2311yescharacteristic
449#66885C2311yescharacteristic
450#66885C2311yescharacteristic
451#66885C2311yescharacteristic
452#66885C2311yescharacteristic
453#66885C2311yescharacteristic
454#66885C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456(C2×D11)⋊C8C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459#66882C2311yescharacteristic
460#66882C2311yescharacteristic
461#66881C2311yescharacteristic
462#66880C2311yescharacteristic
463#66880C2311yescharacteristic
464#66880C2311yescharacteristic
465#66879C2311yescharacteristic
466#66879C2311yescharacteristic
467Dic11⋊C8C2311yescharacteristic
468Dic11⋊C8C2311yescharacteristic
469#66874C2311yescharacteristic
470#66874C2311yescharacteristic
471#66874C2311yescharacteristic
472#66873C2311yescharacteristic
473#66873C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66872C2311yescharacteristic
480#66872C2311yescharacteristic
481#66872C2311yescharacteristic
482#66871C2311yescharacteristic
483#66871C2311yescharacteristic
484#66871C2311yescharacteristic
485C4⋊(C11⋊C8)C2311yescharacteristic
486C4×C11⋊C8C2311yescharacteristic
487#61201—111nomaximal, Sylow
488C24×C11—21no—
489C23×D11—21no—
490C23×D11—21no—
491C23×D11—21no—
492C23×D11—21no—
493C11×#41—22no—
494C11×#41—41no—
495C2×Q8×C11C2411yescharacteristic
496C2×Q8×C11C2411yescharacteristic
497C2×D4×C11—22no—
498C2×D4×C11—21no—
499C2×D4×C11—21no—
500C2×D4×C11—21no—
501C2×D4×C11—41no—
502C2×D4×C11C2×D411yescharacteristic
503C2×D4×C11C2411yescharacteristic
504C2×D4×C11C2411yescharacteristic
505C22×C4×C11—21no—
506C22×C4×C11—21no—
507C22×C4×C11—21no—
508C22×C4×C11C2411yescharacteristic
509C22×C4×C11C2411yescharacteristic
510C2×C22⋊D11—21no—
511C2×C22⋊D11—21no—
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11—44no—
523C2×C22⋊D11—44no—
524C2×C22⋊D11—82no—
525C2×C22⋊D11C2×D411yescharacteristic
526C2×C22⋊D11C2×D411yescharacteristic
527C2×C22⋊D11C2×D411yescharacteristic
528C2×C22⋊D11C2×D411yescharacteristic
529C2×C22⋊D11C2×D411yescharacteristic
530C2×C22⋊D11C2×D411yescharacteristic
531C22×Dic11—21no—
532C22×Dic11—21no—
533C22×Dic11—21no—
534C22×Dic11—21no—
535#4343—22no—
536#4343—22no—
537#4343—22no—
538#4343—22no—
539#4343—22no—
540#4343—41no—
541#4341—22no—
542#4341—22no—
543#4341—22no—
544#4341—41no—
545#4341—44no—
546D4×D11—22no—
547D4×D11—22no—
548D4×D11—22no—
549D4×D11—41no—
550D4×D11—41no—
551D4×D11—44no—
552D4×D11—44no—
553D4×D11—44no—
554D4×D11—82no—
555D4×D11#4114yes—
556#4339—22no—
557#4339—22no—
558#4339—22no—
559#4339—22no—
560#4339—22no—
561#4339—41no—
562#4339—44no—
563C2×D44—21no—
564C2×D44—21no—
565C2×D44—21no—
566C2×D44—21no—
567C2×D44—21no—
568C2×D44—21no—
569C2×D44—22no—
570C2×D44—21no—
571C2×D44—41no—
572C2×D44—44no—
573C2×D44C2×D411yescharacteristic
574C2×D44C2×D411yescharacteristic
575C2×D44C2×D411yescharacteristic
576C2×D44C2411yescharacteristic
577C2×D44C2411yescharacteristic
578C2×D44C2411yescharacteristic
579C2×C4×D11—21no—
580C2×C4×D11—21no—
581C2×C4×D11—21no—
582C2×C4×D11—21no—
583C2×C4×D11—21no—
584C2×C4×D11—21no—
585C2×C4×D11—21no—
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—21no—
589C2×C4×D11—21no—
590C2×C4×D11—21no—
591C2×C4×D11—21no—
592C2×C4×D11—82no—
593C2×C4×D11C2×D411yescharacteristic
594C2×C4×D11C2×D411yescharacteristic
595C2×C4×D11C2411yescharacteristic
596C2×C4×D11C2411yescharacteristic
597C2×C4×D11C2411yescharacteristic
598C2×Dic22C2×D411yescharacteristic
599C2×Dic22C2×D411yescharacteristic
600C2×Dic22C2411yescharacteristic
601C11×Q16—41no—
602C11×SD16—22no—
603C11×SD16—41no—
604C11×M16—41no—
605C11×M16—41no—
606C2×C8×C11C2411yescharacteristic
607C2×C8×C11C2411yescharacteristic
608C2×C8×C11C2411yescharacteristic
609C2×C8×C11C2411yescharacteristic
610C11×C4⋊C4—21no—
611C11×C4⋊C4—21no—
612C11×C4⋊C4—21no—
613C11×C4⋊C4—21no—
614C11×C4⋊C4—21no—
615C11×C4⋊C4—21no—
616C11×C4⋊C4—21no—
617C11×C4⋊C4C2×D411yescharacteristic
618C11×C4⋊C4C2411yescharacteristic
619C11×C4⋊C4C2411yescharacteristic
620C11×C4⋊C4C2411yescharacteristic
621C11×C4⋊C4C2411yescharacteristic
622C11×C22⋊C4—21no—
623C11×C22⋊C4—21no—
624C11×C22⋊C4—21no—
625C11×C22⋊C4—21no—
626C11×C22⋊C4—21no—
627C11×C22⋊C4—21no—
628C11×C22⋊C4—21no—
629C11×C22⋊C4—21no—
630C11×C22⋊C4C2×D411yescharacteristic
631C11×C22⋊C4C2×D411yescharacteristic
632C42×C11—21no—
633C42×C11—21no—
634C42×C11C2411yescharacteristic
635C22⋊Dic11—21no—
636C22⋊Dic11—21no—
637C22⋊Dic11—21no—
638C22⋊Dic11—21no—
639C22⋊Dic11C2×D411yescharacteristic
640C22⋊Dic11C2×D411yescharacteristic
641#4326—41no—
642#4325—22no—
643#4325—41no—
644#4325—41no—
645#4323—22no—
646#4323—41no—
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)⋊C4—21no—
654(C2×D11)⋊C4—21no—
655(C2×D11)⋊C4—21no—
656(C2×D11)⋊C4—21no—
657(C2×D11)⋊C4—21no—
658(C2×D11)⋊C4—21no—
659(C2×D11)⋊C4—21no—
660(C2×D11)⋊C4—21no—
661(C2×D11)⋊C4—21no—
662(C2×D11)⋊C4—21no—
663(C2×D11)⋊C4—21no—
664(C2×D11)⋊C4—21no—
665(C2×D11)⋊C4—21no—
666(C2×D11)⋊C4C2×D411yescharacteristic
667(C2×D11)⋊C4C2×D411yescharacteristic
668(C2×D11)⋊C4C2×D411yescharacteristic
669(C2×D11)⋊C4C2×D411yescharacteristic
670C4⋊Dic11—21no—
671C4⋊Dic11—21no—
672C4⋊Dic11—21no—
673C4⋊Dic11—21no—
674C4⋊Dic11—21no—
675C4⋊Dic11C2×D411yescharacteristic
676C4⋊Dic11C2411yescharacteristic
677C4⋊Dic11C2411yescharacteristic
678C4⋊Dic11C2411yescharacteristic
679C4⋊Dic11C2411yescharacteristic
680Dic11⋊C4—21no—
681Dic11⋊C4—21no—
682Dic11⋊C4—21no—
683Dic11⋊C4—21no—
684Dic11⋊C4—21no—
685Dic11⋊C4—21no—
686Dic11⋊C4—21no—
687Dic11⋊C4—21no—
688Dic11⋊C4—21no—
689Dic11⋊C4—21no—
690Dic11⋊C4—21no—
691Dic11⋊C4—21no—
692Dic11⋊C4—21no—
693Dic11⋊C4—21no—
694Dic11⋊C4—21no—
695Dic11⋊C4C2×D411yescharacteristic
696Dic11⋊C4C2×D411yescharacteristic
697C4×Dic11—21no—
698C4×Dic11—21no—
699C4×Dic11—21no—
700C4×Dic11—21no—
701C4×Dic11—21no—
702C4×Dic11C2×D411yescharacteristic
703C4×Dic11C2×D411yescharacteristic
704C4×Dic11C2411yescharacteristic
705C2×C11⋊C8—41no—
706C2×C11⋊C8—41no—
707C2×C11⋊C8C2411yescharacteristic
708C2×C11⋊C8C2411yescharacteristic
709C2×C11⋊C8C2411yescharacteristic
710C2×C11⋊C8C2411yescharacteristic
711D88—22no—
712D88—41no—
713#4314—41no—
714#4313—22no—
715#4313—22no—
716#4313—41no—
717#4313—41no—
718C8×D11—22no—
719C8×D11—22no—
720C8×D11—41no—
721C8×D11—41no—
722#3512—111no—
723#3496—111no—
724#3323—111no—
725#3323D1111yescharacteristic, complemented
726#3322—111no—
727#3322—111no—
728#3318—111no—
729#3318—111no—
730#3315—111no—
731#3315—111no—
732#3310—111no—
733#3310—111no—
734#3307—111no—
735#3307—111no—
736#3297—111no—
737#3297—111no—
738#3296—111no—
739#3296—111no—
740#3142—111no—
741#3099—111no—
742#3098—111no—
743C2×#478—111no—
744#3061—111no—
745#3060—111no—
746#3035—111no—
747#3012—111no—
748#3012—111no—
749C4×AGL(1,ℤ/8)—111no—
750#2935—111no—
751#2897—111no—
752#2897—111no—
753C23×C11—21no—
754C23×C11—21no—
755C23×C11—42no—
756C23×C11—81no—
757C23×C11—81no—
758C23×C11C22×D411yescharacteristic
759C23×C11C22×D411yescharacteristic
760C22×D11—21no—
761C22×D11—24no—
762C22×D11—21no—
763C22×D11—21no—
764C22×D11—42no—
765C22×D11—42no—
766C22×D11—42no—
767C22×D11—81no—
768C22×D11—81no—
769C22×D11—81no—
770C22×D11—81no—
771C22×D11—81no—
772C22×D11—81no—
773C22×D11—81no—
774C22×D11—81no—
775C22×D11C22×D411yescharacteristic
776C22×D11C22×D411yescharacteristic
777C22×D11C22×D411yescharacteristic
778Q8×C11—21no—
779Q8×C11—21no—
780Q8×C11—21no—
781Q8×C11—21no—
782D4×C11—21no—
783D4×C11—21no—
784D4×C11—21no—
785D4×C11—41no—
786D4×C11—42no—
787D4×C11—42no—
788D4×C11—81no—
789D4×C11C2×#4112yes—
790C2×C4×C11—21no—
791C2×C4×C11—21no—
792C2×C4×C11—21no—
793C2×C4×C11—21no—
794C2×C4×C11—21no—
795C2×C4×C11—21no—
796C2×C4×C11—21no—
797C2×C4×C11—21no—
798C2×C4×C11—21no—
799C2×C4×C11—21no—
800C2×C4×C11—42no—
801C2×C4×C11—81no—
802C2×C4×C11—81no—
803C2×C4×C11C22×D411yescharacteristic
804C2×C4×C11C22×D411yescharacteristic
805C2×C4×C11C22×D411yescharacteristic
806C2×C4×C11C22×D411yescharacteristic
807C2×C4×C11C2511yescharacteristic
808C22⋊D11—22no—
809C22⋊D11—22no—
810C22⋊D11—22no—
811C22⋊D11—22no—
812C22⋊D11—24no—
813C22⋊D11—41no—
814C22⋊D11—41no—
815C22⋊D11—42no—
816C22⋊D11—42no—
817C22⋊D11—42no—
818C22⋊D11—42no—
819C22⋊D11—42no—
820C22⋊D11—42no—
821C22⋊D11—81no—
822C22⋊D11—81no—
823C22⋊D11—81no—
824C22⋊D11—81no—
825C22⋊D11—81no—
826C2×Dic11—21no—
827C2×Dic11—21no—
828C2×Dic11—21no—
829C2×Dic11—21no—
830C2×Dic11—21no—
831C2×Dic11—42no—
832C2×Dic11—42no—
833C2×Dic11—42no—
834C2×Dic11—81no—
835C2×Dic11C22×D411yescharacteristic
836C2×Dic11C22×D411yescharacteristic
837C2×Dic11C22×D411yescharacteristic
838C2×Dic11C22×D411yescharacteristic
839C2×Dic11C22×D411yescharacteristic
840D44—22no—
841D44—22no—
842D44—21no—
843D44—21no—
844D44—21no—
845D44—21no—
846D44—21no—
847D44—41no—
848D44—42no—
849D44—42no—
850D44—42no—
851D44—42no—
852D44—81no—
853D44—81no—
854D44—81no—
855D44C2×#4112yes—
856C4×D11—21no—
857C4×D11—21no—
858C4×D11—21no—
859C4×D11—21no—
860C4×D11—41no—
861C4×D11—41no—
862C4×D11—42no—
863C4×D11—42no—
864C4×D11—42no—
865C4×D11—42no—
866C4×D11—42no—
867C4×D11—81no—
868C4×D11—81no—
869C4×D11—81no—
870C4×D11—81no—
871C4×D11—81no—
872C4×D11—81no—
873C4×D11—81no—
874C4×D11—81no—
875C4×D11C2×#4112yes—
876C4×D11H(5,𝔽2)12yes—
877Dic22—22no—
878Dic22—22no—
879Dic22—21no—
880Dic22—21no—
881C8×C11—21no—
882C8×C11—21no—
883C8×C11—21no—
884C8×C11—21no—
885C11⋊C8—21no—
886C11⋊C8—21no—
887C11⋊C8—21no—
888C11⋊C8—21no—
889C2×H(5,𝔽2)—111no—
890C2×H(5,𝔽2)—111no—
891C2×AGL(1,ℤ/8)—111no—
892C2×#135—111no—
893C2×#135—111no—
894C2×#131—111no—
895C2×#131—111no—
896#553—111no—
897#553—111no—
898#553—111no—
899#553—111no—
900#553—221no—
901#553—221no—
902#553—221no—
903#553—221no—
904#552—111no—
905#552—111no—
906#552—111no—
907#552C2×D1111yescharacteristic, complemented
908#547—111no—
909#547—111no—
910#547—221no—
911#546—111no—
912#546—111no—
913#546—111no—
914#546—221no—
915#546—221no—
916#546C2×D1111yescharacteristic
917D42—111no—
918D42—111no—
919D42—221no—
920#541—221no—
921#540—221no—
922#537—111no—
923#537—111no—
924#537—111no—
925#537—111no—
926#534—221no—
927#534—221no—
928#532—111no—
929#532—111no—
930#529—221no—
931#529—221no—
932C2×#125—111no—
933C2×#121—221no—
934C2×#121—221no—
935#520—111no—
936#520—111no—
937C4×#41—111no—
938C2×C4×D4—111no—
939#491—111no—
940#491—111no—
941#490—111no—
942#490—111no—
943#488—111no—
944#488—111no—
945#488—111no—
946#488C2×D1111yescharacteristic, complemented
947#485—111no—
948#485—111no—
949#485—111no—
950#485C2×D1111yescharacteristic, complemented
951#484—111no—
952#484—111no—
953#483—111no—
954#483—111no—
955#482—111no—
956#482—111no—
957#482—111no—
958#482—111no—
959#481—111no—
960#481C2×D1111yescharacteristic, complemented
961#480—111no—
962#480—111no—
963#478—111no—
964#478—111no—
965#478—111no—
966#478—111no—
967#478—111no—
968#478—111no—
969#478—111no—
970#478C2×D1111yescharacteristic, complemented
971#470—111no—
972#470C2×D1111yescharacteristic, complemented
973#469—111no—
974#469—111no—
975#468—111no—
976#468—111no—
977#468—111no—
978#468C2×D1111yescharacteristic, complemented
979#467—111no—
980#467—111no—
981#466—111no—
982#466—111no—
983#465—111no—
984#465—111no—
985#465—111no—
986#465—111no—
987#464—111no—
988#464C2×D1111yescharacteristic, complemented
989#463—111no—
990#463—111no—
991#462—111no—
992#461—111no—
993#460—111no—
994#459—111no—
995#452—111no—
996#452—111no—
997#452—111no—
998#452C2×D1111yescharacteristic, complemented
999#450—111no—
1000#450—111no—
1001#450—111no—
1002#450C2×D1111yescharacteristic, complemented
1003#449—111no—
1004#449—111no—
1005#449—111no—
1006#449—111no—
1007#447—111no—
1008#447—111no—
1009#447—111no—
1010#447—111no—
1011#442—111no—
1012#442—111no—
1013#440—111no—
1014#440—111no—
1015C4×SD16—111no—
1016C4×SD16C2×D1111yescharacteristic, complemented
1017C4×D8—111no—
1018C4×D8—111no—
1019#436—111no—
1020#436C2×D1111yescharacteristic, complemented
1021#435—111no—
1022#435—111no—
1023#435—111no—
1024#435—111no—
1025C8×D4—111no—
1026C8×D4—111no—
1027#428—111no—
1028C2×#107—111no—
1029C2×#106—111no—
1030C2×C4⋊C8—111no—
1031#418—111no—
1032#418—111no—
1033#418—111no—
1034#418—111no—
1035#418C2×D1111yescharacteristic, complemented
1036#417—111no—
1037#417—111no—
1038#417—111no—
1039#417—111no—
1040#417—111no—
1041#417—111no—
1042#417—111no—
1043#417—111no—
1044#417C2×D1111yescharacteristic, complemented
1045#416—111no—
1046#416—111no—
1047#416—111no—
1048#416—111no—
1049#416—111no—
1050#416—111no—
1051C2×#102—111no—
1052C2×#102—111no—
1053C2×#102—111no—
1054C2×#102—111no—
1055C2×#102—111no—
1056C2×#102—111no—
1057#408—111no—
1058#408—111no—
1059C4×M16—111no—
1060C22×C11—21no—
1061C22×C11—21no—
1062C22×C11—21no—
1063C22×C11—21no—
1064C22×C11—21no—
1065C22×C11—21no—
1066C22×C11—22no—
1067C22×C11—41no—
1068C22×C11—41no—
1069C22×C11—41no—
1070C22×C11—41no—
1071C22×C11—41no—
1072C22×C11—162no—
1073C22×C11C23×D411yescharacteristic
1074C2×D11—21no—
1075C2×D11—21no—
1076C2×D11—21no—
1077C2×D11—21no—
1078C2×D11—21no—
1079C2×D11—21no—
1080C2×D11—22no—
1081C2×D11—21no—
1082C2×D11—21no—
1083C2×D11—41no—
1084C2×D11—41no—
1085C2×D11—41no—
1086C2×D11—41no—
1087C2×D11—41no—
1088C2×D11—41no—
1089C2×D11—41no—
1090C2×D11—41no—
1091C2×D11—84no—
1092C2×D11—162no—
1093C2×D11—162no—
1094C2×D11—162no—
1095C2×D11#54612yes—
1096C4×C11—21no—
1097C4×C11—21no—
1098C4×C11—21no—
1099C4×C11—21no—
1100C4×C11—41no—
1101C4×C11—41no—
1102C4×C11—41no—
1103C4×C11—41no—
1104C4×C11—41no—
1105C4×C11—41no—
1106C4×C11C22×#4111yescharacteristic
1107C4×C11C2×H(5,𝔽2)11yescharacteristic
1108Dic11—21no—
1109Dic11—21no—
1110Dic11—21no—
1111Dic11—21no—
1112Dic11—41no—
1113Dic11—41no—
1114Dic11—41no—
1115Dic11—41no—
1116Dic11—41no—
1117Dic11#54612yes—
1118H(5,𝔽2)—224no—
1119H(5,𝔽2)—224no—
1120H(5,𝔽2)—442no—
1121H(5,𝔽2)—442no—
1122C2×#41—111no—
1123C2×#41—111no—
1124C2×#41—111no—
1125C2×#41—111no—
1126C2×#41—111no—
1127C2×#41—111no—
1128C2×#41—111no—
1129C2×#41—111no—
1130C2×#41—221no—
1131C2×#41—221no—
1132C2×#41C22×D1111yescharacteristic
1133C22×D4—111no—
1134C22×D4—111no—
1135C22×D4—111no—
1136C22×D4—111no—
1137C22×D4—221no—
1138C22×D4—221no—
1139C22×D4—221no—
1140C22×D4—221no—
1141C22×D4—221no—
1142C22×D4—221no—
1143C22×D4—221no—
1144C22×D4—221no—
1145C22×D4C22×D1111yescharacteristic
1146C23×C4—221no—
1147AGL(1,ℤ/8)—224no—
1148#135—442no—
1149#135—442no—
1150C2×Q16—111no—
1151C2×Q16C22×D1111yescharacteristic
1152C2×SD16—111no—
1153C2×SD16—111no—
1154C2×SD16—111no—
1155C2×SD16—111no—
1156C2×SD16C22×D1111yescharacteristic
1157C2×SD16C22×D1111yescharacteristic
1158C2×D8—111no—
1159C2×D8—111no—
1160C2×D8—111no—
1161C2×D8—111no—
1162#131—442no—
1163#131—442no—
1164C2×M16—111no—
1165C2×M16—111no—
1166C2×M16—111no—
1167C2×M16—111no—
1168C2×M16C22×D1111yescharacteristic
1169C2×M16C22×D1111yescharacteristic
1170C22×C8—111no—
1171C22×C8—111no—
1172C22×C8—111no—
1173C22×C8—111no—
1174C22×C8—111no—
1175C22×C8—111no—
1176C4⋊Q8—111no—
1177C4⋊Q8—111no—
1178#127—111no—
1179#127—111no—
1180#126—21no—
1181#126—221no—
1182#126—221no—
1183#126—221no—
1184#126—221no—
1185#126—221no—
1186#126—221no—
1187#126—221no—
1188#125—21no—
1189#125—111no—
1190#125—111no—
1191#125—111no—
1192#125—221no—
1193#125—221no—
1194#125—221no—
1195#125—221no—
1196#125—221no—
1197#125C22×D1111yescharacteristic
1198#124—111no—
1199#124—111no—
1200#124—111no—
1201#124C22×D1111yescharacteristic
1202#123—21no—
1203#123—21no—
1204#123—221no—
1205#123—221no—
1206#123—221no—
1207#123—221no—
1208#123—221no—
1209#123—221no—
1210#123—221no—
1211#123—221no—
1212#123—221no—
1213#123—221no—
1214#123—221no—
1215#123—221no—
1216#123—221no—
1217#123—221no—
1218C22⋊Q8—111no—
1219C22⋊Q8—111no—
1220C22⋊Q8—111no—
1221C22⋊Q8—111no—
1222C22⋊Q8—111no—
1223C22⋊Q8—221no—
1224C22⋊Q8—221no—
1225C22⋊Q8—221no—
1226C22⋊Q8—221no—
1227C22⋊Q8C22×D1111yescharacteristic
1228C22⋊Q8C22×D1111yescharacteristic
1229C22⋊Q8C22×D1111yescharacteristic
1230#121—21no—
1231#121—111no—
1232#121—111no—
1233#121—111no—
1234#121—111no—
1235#121—111no—
1236#121—111no—
1237#121—111no—
1238#121—111no—
1239#121—111no—
1240#121—111no—
1241#121—111no—
1242#121—221no—
1243#121—221no—
1244#121—221no—
1245#121—221no—
1246#121—221no—
1247#121—221no—
1248#121—221no—
1249#121—221no—
1250#121—221no—
1251#121—221no—
1252#121—221no—
1253#121—221no—
1254#121—221no—
1255#121—221no—
1256#121—221no—
1257#121—221no—
1258#121—221no—
1259#121—221no—
1260#121—221no—
1261#121—221no—
1262#121—221no—
1263#121—221no—
1264#121—221no—
1265#121—221no—
1266#121—221no—
1267#121C22×D1111yescharacteristic
1268#120—21no—
1269#120—221no—
1270#120—221no—
1271#120—221no—
1272#120—221no—
1273#120—221no—
1274#120—221no—
1275#120—221no—
1276C4×Q8—111no—
1277C4×Q8—221no—
1278C4×Q8—221no—
1279C4×Q8C22×D1111yescharacteristic
1280C4×D4—111no—
1281C4×D4—111no—
1282C4×D4—111no—
1283C4×D4—111no—
1284C4×D4—111no—
1285C4×D4—111no—
1286C4×D4—111no—
1287C4×D4—111no—
1288C4×D4—221no—
1289C4×D4—221no—
1290C4×D4—221no—
1291C4×D4—221no—
1292C4×D4—221no—
1293C4×D4—221no—
1294C4×D4—221no—
1295C4×D4—221no—
1296C4×D4—221no—
1297C4×D4—221no—
1298C4×D4—221no—
1299C4×D4—221no—
1300C4×D4—221no—
1301C4×D4—221no—
1302C4×D4—221no—
1303C4×D4—221no—
1304C4×D4C22×D1111yescharacteristic
1305C4×D4C22×D1111yescharacteristic
1306#117—21no—
1307#117—111no—
1308#117—111no—
1309#117—111no—
1310#117—111no—
1311#117—221no—
1312#117—221no—
1313#117—221no—
1314#117—221no—
1315#117C22×D1111yescharacteristic
1316C2×C4⋊C4—111no—
1317C2×C4⋊C4—111no—
1318C2×C4⋊C4—111no—
1319C2×C4⋊C4—111no—
1320C2×C4⋊C4—111no—
1321C2×C4⋊C4—111no—
1322C2×C4⋊C4—221no—
1323C2×C4⋊C4—221no—
1324C2×C4⋊C4—221no—
1325C2×C4⋊C4—221no—
1326C2×C4⋊C4C22×D1111yescharacteristic
1327C2×C22⋊C4—21no—
1328C2×C22⋊C4—221no—
1329C2×C22⋊C4—221no—
1330C2×C22⋊C4—221no—
1331C2×C22⋊C4—221no—
1332C2×C42—111no—
1333C2×C42—221no—
1334#107—111no—
1335#107—111no—
1336#107—111no—
1337#107—111no—
1338#107—111no—
1339#107C22×D1111yescharacteristic
1340#106—111no—
1341#106—111no—
1342#106—111no—
1343#106—111no—
1344#106C22×D1111yescharacteristic
1345#106C22×D1111yescharacteristic
1346C4⋊C8—111no—
1347C4⋊C8—111no—
1348C4⋊C8—111no—
1349C4⋊C8C22×D1111yescharacteristic
1350#103—111no—
1351#103—111no—
1352#103—111no—
1353#103—111no—
1354#103—111no—
1355#103—111no—
1356#103—111no—
1357#103—111no—
1358#103—111no—
1359#103—111no—
1360#103C22×D1111yescharacteristic
1361#103C22×D1111yescharacteristic
1362#103C22×D1111yescharacteristic
1363#103C22×D1111yescharacteristic
1364#102—111no—
1365#102—111no—
1366#102—111no—
1367#102—111no—
1368#102—111no—
1369#102—111no—
1370#102—111no—
1371#102—111no—
1372#102—111no—
1373#102—111no—
1374#102—111no—
1375#102—111no—
1376#102—111no—
1377#102—111no—
1378#102—111no—
1379#102—111no—
1380#102—111no—
1381#102—111no—
1382#102—111no—
1383#102—111no—
1384#102C22×D1111yescharacteristic
1385#102C22×D1111yescharacteristic
1386#102C22×D1111yescharacteristic
1387#102C22×D1111yescharacteristic
1388#102C22×D1111yescharacteristic
1389#102C22×D1111yescharacteristic
1390C22⋊C8—111no—
1391C22⋊C8—111no—
1392C22⋊C8—111no—
1393C22⋊C8—111no—
1394C22⋊C8—111no—
1395C22⋊C8—111no—
1396C22⋊C8C22×D1111yescharacteristic
1397C22⋊C8C22×D1111yescharacteristic
1398#97—111no—
1399#97—111no—
1400C4×C8—111no—
1401C4×C8C22×D1111yescharacteristic
1402C2×C11—42no—
1403C2×C11—41no—
1404C2×C11—41no—
1405C2×C11—81no—
1406C2×C11C2×#54611yescharacteristic
1407C2×C11#358411yescharacteristic
1408C2×C11#358511yescharacteristic
1409D11—22no—
1410D11—41no—
1411D11—41no—
1412D11—42no—
1413D11—81no—
1414D11—81no—
1415C24—21no—
1416C24—221no—
1417C24—221no—
1418C24—221no—
1419C24—221no—
1420#41—22no—
1421#41—41no—
1422#41—222no—
1423#41—222no—
1424#41—222no—
1425#41—222no—
1426#41—222no—
1427#41—222no—
1428#41—222no—
1429#41—222no—
1430#41—222no—
1431#41—222no—
1432#41—222no—
1433#41—222no—
1434#41—222no—
1435#41—441no—
1436#41—444no—
1437#41—441no—
1438#41—441no—
1439#41—444no—
1440C2×Q8—111no—
1441C2×Q8—111no—
1442C2×Q8—111no—
1443C2×Q8C23×D1111yescharacteristic
1444C2×Q8C23×D1111yescharacteristic
1445C2×D4—22no—
1446C2×D4—21no—
1447C2×D4—21no—
1448C2×D4—21no—
1449C2×D4—41no—
1450C2×D4—114no—
1451C2×D4—111no—
1452C2×D4—111no—
1453C2×D4—111no—
1454C2×D4—111no—
1455C2×D4—111no—
1456C2×D4—111no—
1457C2×D4—111no—
1458C2×D4—111no—
1459C2×D4—111no—
1460C2×D4—111no—
1461C2×D4—111no—
1462C2×D4—111no—
1463C2×D4—222no—
1464C2×D4—221no—
1465C2×D4—221no—
1466C2×D4—221no—
1467C2×D4—221no—
1468C2×D4—221no—
1469C2×D4—221no—
1470C2×D4—222no—
1471C2×D4—221no—
1472C2×D4—221no—
1473C2×D4—221no—
1474C2×D4—221no—
1475C2×D4—221no—
1476C2×D4—222no—
1477C2×D4—222no—
1478C2×D4—221no—
1479C2×D4—221no—
1480C2×D4—221no—
1481C2×D4—221no—
1482C2×D4—221no—
1483C2×D4—221no—
1484C2×D4—221no—
1485C2×D4—221no—
1486C2×D4—441no—
1487C2×D4—444no—
1488C2×D4—441no—
1489C2×D4—441no—
1490C2×D4—444no—
1491C2×D4—444no—
1492C2×D4—444no—
1493C2×D4—444no—
1494C2×D4—444no—
1495C2×D4—882no—
1496C2×D4—882no—
1497C2×D4D4×D1111yescharacteristic
1498C2×D4C23×D1111yescharacteristic
1499C2×D4C23×D1111yescharacteristic
1500C22×C4—21no—
1501C22×C4—21no—
1502C22×C4—21no—
1503C22×C4—111no—
1504C22×C4—111no—
1505C22×C4—111no—
1506C22×C4—111no—
1507C22×C4—111no—
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×C4—221no—
1525C22×C4—882no—
1526C22×C4C23×D1111yescharacteristic
1527C22×C4C23×D1111yescharacteristic
1528Q16—41no—
1529Q16—441no—
1530SD16—22no—
1531SD16—41no—
1532SD16—222no—
1533SD16—441no—
1534SD16—441no—
1535SD16—441no—
1536D8—222no—
1537D8—222no—
1538D8—441no—
1539D8—441no—
1540M16—41no—
1541M16—41no—
1542M16—222no—
1543M16—222no—
1544M16—441no—
1545M16—441no—
1546C2×C8—111no—
1547C2×C8—111no—
1548C2×C8—111no—
1549C2×C8—111no—
1550C2×C8—222no—
1551C2×C8—222no—
1552C2×C8—441no—
1553C2×C8—441no—
1554C2×C8—441no—
1555C2×C8—441no—
1556C2×C8C23×D1111yescharacteristic
1557C2×C8C23×D1111yescharacteristic
1558C2×C8C23×D1111yescharacteristic
1559C2×C8C23×D1111yescharacteristic
1560C4⋊C4—21no—
1561C4⋊C4—21no—
1562C4⋊C4—21no—
1563C4⋊C4—21no—
1564C4⋊C4—21no—
1565C4⋊C4—21no—
1566C4⋊C4—21no—
1567C4⋊C4—111no—
1568C4⋊C4—111no—
1569C4⋊C4—111no—
1570C4⋊C4—111no—
1571C4⋊C4—111no—
1572C4⋊C4—111no—
1573C4⋊C4—111no—
1574C4⋊C4—221no—
1575C4⋊C4—221no—
1576C4⋊C4—221no—
1577C4⋊C4—221no—
1578C4⋊C4—221no—
1579C4⋊C4—221no—
1580C4⋊C4—221no—
1581C4⋊C4—221no—
1582C4⋊C4—221no—
1583C4⋊C4—221no—
1584C4⋊C4—221no—
1585C4⋊C4—221no—
1586C4⋊C4—221no—
1587C4⋊C4—221no—
1588C4⋊C4—221no—
1589C4⋊C4—221no—
1590C4⋊C4—221no—
1591C4⋊C4—221no—
1592C4⋊C4—221no—
1593C4⋊C4—221no—
1594C4⋊C4D4×D1111yescharacteristic
1595C4⋊C4C23×D1111yescharacteristic
1596C4⋊C4C23×D1111yescharacteristic
1597C4⋊C4C23×D1111yescharacteristic
1598C4⋊C4C23×D1111yescharacteristic
1599C22⋊C4—21no—
1600C22⋊C4—21no—
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—21no—
1606C22⋊C4—21no—
1607C22⋊C4—111no—
1608C22⋊C4—111no—
1609C22⋊C4—111no—
1610C22⋊C4—111no—
1611C22⋊C4—111no—
1612C22⋊C4—111no—
1613C22⋊C4—221no—
1614C22⋊C4—221no—
1615C22⋊C4—221no—
1616C22⋊C4—221no—
1617C22⋊C4—221no—
1618C22⋊C4—221no—
1619C22⋊C4—221no—
1620C22⋊C4—221no—
1621C22⋊C4—221no—
1622C22⋊C4—221no—
1623C22⋊C4—221no—
1624C22⋊C4—221no—
1625C22⋊C4—221no—
1626C22⋊C4—221no—
1627C22⋊C4—221no—
1628C22⋊C4—221no—
1629C22⋊C4—221no—
1630C22⋊C4—221no—
1631C22⋊C4—221no—
1632C22⋊C4—221no—
1633C22⋊C4—221no—
1634C22⋊C4—221no—
1635C22⋊C4—221no—
1636C22⋊C4D4×D1111yescharacteristic
1637C22⋊C4D4×D1111yescharacteristic
1638C42—21no—
1639C42—21no—
1640C42—111no—
1641C42—111no—
1642C42—111no—
1643C42—221no—
1644C42—221no—
1645C42—221no—
1646C42—221no—
1647C42—221no—
1648C42C23×D1111yescharacteristic
1649C11#6120111yescharacteristic, complemented, Sylow
1650C23—21no—
1651C23—21no—
1652C23—42no—
1653C23—81no—
1654C23—81no—
1655C23—111no—
1656C23—111no—
1657C23—111no—
1658C23—224no—
1659C23—221no—
1660C23—221no—
1661C23—221no—
1662C23—442no—
1663C23—442no—
1664C23—442no—
1665C23—881no—
1666C23—881no—
1667C23—881no—
1668C23—881no—
1669C23—881no—
1670C23—881no—
1671C23—881no—
1672C23—881no—
1673C23C2×D4×D1111yescharacteristic
1674C23C2×D4×D1111yescharacteristic
1675Q8—21no—
1676Q8—21no—
1677Q8—21no—
1678Q8—21no—
1679Q8—222no—
1680Q8—222no—
1681Q8—221no—
1682Q8—221no—
1683D4—21no—
1684D4—21no—
1685D4—21no—
1686D4—41no—
1687D4—42no—
1688D4—42no—
1689D4—81no—
1690D4—112no—
1691D4—222no—
1692D4—222no—
1693D4—224no—
1694D4—222no—
1695D4—222no—
1696D4—222no—
1697D4—222no—
1698D4—221no—
1699D4—221no—
1700D4—221no—
1701D4—221no—
1702D4—221no—
1703D4—441no—
1704D4—442no—
1705D4—442no—
1706D4—442no—
1707D4—442no—
1708D4—441no—
1709D4—441no—
1710D4—442no—
1711D4—442no—
1712D4—442no—
1713D4—442no—
1714D4—442no—
1715D4—442no—
1716D4—881no—
1717D4—881no—
1718D4—881no—
1719D4—881no—
1720D4—881no—
1721D4—881no—
1722D4—881no—
1723D4—881no—
1724D4#41×D1112yes—
1725C2×C4—21no—
1726C2×C4—21no—
1727C2×C4—21no—
1728C2×C4—21no—
1729C2×C4—21no—
1730C2×C4—21no—
1731C2×C4—21no—
1732C2×C4—21no—
1733C2×C4—21no—
1734C2×C4—21no—
1735C2×C4—42no—
1736C2×C4—81no—
1737C2×C4—81no—
1738C2×C4—111no—
1739C2×C4—112no—
1740C2×C4—112no—
1741C2×C4—111no—
1742C2×C4—111no—
1743C2×C4—111no—
1744C2×C4—111no—
1745C2×C4—221no—
1746C2×C4—221no—
1747C2×C4—221no—
1748C2×C4—221no—
1749C2×C4—221no—
1750C2×C4—221no—
1751C2×C4—221no—
1752C2×C4—221no—
1753C2×C4—221no—
1754C2×C4—441no—
1755C2×C4—441no—
1756C2×C4—442no—
1757C2×C4—442no—
1758C2×C4—442no—
1759C2×C4—442no—
1760C2×C4—442no—
1761C2×C4—442no—
1762C2×C4—442no—
1763C2×C4—442no—
1764C2×C4—881no—
1765C2×C4—881no—
1766C2×C4—881no—
1767C2×C4—881no—
1768C2×C4—881no—
1769C2×C4—881no—
1770C2×C4—881no—
1771C2×C4—881no—
1772C2×C4—881no—
1773C2×C4C2×D4×D1111yescharacteristic
1774C2×C4C2×D4×D1111yescharacteristic
1775C2×C4C2×D4×D1111yescharacteristic
1776C2×C4C2×D4×D1111yescharacteristic
1777C2×C4C24×D1111yescharacteristic
1778C8—21no—
1779C8—21no—
1780C8—21no—
1781C8—21no—
1782C8—221no—
1783C8—221no—
1784C8—221no—
1785C8—221no—
1786C22—21no—
1787C22—21no—
1788C22—21no—
1789C22—21no—
1790C22—22no—
1791C22—21no—
1792C22—21no—
1793C22—41no—
1794C22—41no—
1795C22—41no—
1796C22—41no—
1797C22—41no—
1798C22—112no—
1799C22—162no—
1800C22—221no—
1801C22—221no—
1802C22—221no—
1803C22—221no—
1804C22—221no—
1805C22—221no—
1806C22—222no—
1807C22—221no—
1808C22—221no—
1809C22—441no—
1810C22—441no—
1811C22—441no—
1812C22—441no—
1813C22—441no—
1814C22—441no—
1815C22—441no—
1816C22—441no—
1817C22—884no—
1818C22—1762no—
1819C22—1762no—
1820C22—1762no—
1821C22C22×D4×D1111yescharacteristic
1822C4—21no—
1823C4—21no—
1824C4—21no—
1825C4—21no—
1826C4—41no—
1827C4—41no—
1828C4—41no—
1829C4—41no—
1830C4—41no—
1831C4—41no—
1832C4—112no—
1833C4—221no—
1834C4—221no—
1835C4—221no—
1836C4—221no—
1837C4—441no—
1838C4—441no—
1839C4—441no—
1840C4—441no—
1841C4—441no—
1842C4C2×#41×D1111yescharacteristic
1843C4D11×H(5,𝔽2)11yescharacteristic
1844C2—41no—
1845C2—41no—
1846C2—42no—
1847C2—81no—
1848C2—222no—
1849C2—441no—
1850C2—441no—
1851C2—442no—
1852C2—881no—
1853C2—881no—
1854C2D11×#54611yescharacteristic
1855C2#1308338911yescharacteristic
1856C2#1308339411yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3323C2
socleC22×C11C23×D4
hypercenter#3323D11
hypocenterC11#61201
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3323

Complements

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

NH ≅ G/Ntype
1. #13082530C2semidirect
2. #13082376C2semidirect
3. #13080839C2semidirect
4. #13080819C2semidirect
5. #13080814C2semidirect
6. #13080758C2semidirect
7. #13080755C2semidirect
8. #13080716C2semidirect
9. #13080707C2semidirect
10. #13080641C2semidirect
11. #13080632C2semidirect
12. #13080593C2semidirect
13. #13080590C2semidirect
14. #13080466C2semidirect
15. #13080465C2semidirect
16. #13080456C2semidirect
17. #13080445C2semidirect
18. #13079013C2semidirect
19. #13078606C2semidirect
20. #13078597C2semidirect
21. D11×#478C2semidirect
22. #13078284C2semidirect
23. #13078280C2semidirect
24. #13078070C2semidirect
25. #13077924C2semidirect
26. #13077921C2semidirect
27. C4×#66967C2semidirect
28. #13077361C2semidirect
29. #13077141C2semidirect
30. #13077140C2semidirect
31. C11×#3323C2semidirect
34. C11×#552C22semidirect
38. C2×#66972C22semidirect
39. C2×#66969C22semidirect
41. C2×#66960C22semidirect
42. C2×#66960C22semidirect
47. #10623226C22semidirect
48. D11×#125C22semidirect
55. #10623173C22semidirect
56. #10623170C22semidirect
59. #10623160C22semidirect
60. #10623160C22semidirect
67. #10623112C22semidirect
68. C4×#4343C22semidirect
69. #10623096C22semidirect
75. #10623061C22semidirect
77. #10623054C22semidirect
78. #10623045C22semidirect
79. #10623035C22semidirect
82. C11×#488C22semidirect
83. C11×#485C22semidirect
84. C11×#481C22semidirect
85. C11×#478C22semidirect
86. C11×#470C22semidirect
87. C11×#468C22semidirect
88. C11×#464C22semidirect
89. C11×#452C22semidirect
90. C11×#450C22semidirect
91. C4×C11×SD16C22semidirect
92. C11×#436C22semidirect
93. C11×#418C22semidirect
94. C11×#417C22semidirect
95. #10622851C22semidirect
96. #10622846C22semidirect
97. #10622830C22semidirect
98. C2×#66896C22semidirect
99. #10622802C22semidirect
100. #10622800C22semidirect
101. #10622795C22semidirect
102. #10622787C22semidirect
103. #10622786C22semidirect
104. #10622782C22semidirect
105. #10622782C22semidirect
106. #10622777C22semidirect
107. #10622776C22semidirect
108. #10622748C22semidirect
109. #10622747C22semidirect
110. #10622746C22semidirect
111. #10622744C22semidirect
112. #10622740C22semidirect
113. #10622740C22semidirect
114. #10622681C22semidirect
115. #10622679C22semidirect
116. #10622670C22semidirect
117. #10622669C22semidirect
118. #10622664C22semidirect
119. #10622661C22semidirect
120. #10622661C22semidirect
121. #10622660C22semidirect
122. #10622659C22semidirect
123. #10622657C22semidirect
124. #10622651C22semidirect
125. #10622648C22semidirect
126. #10622641C22semidirect
127. C4×#4325C22semidirect
128. C4×#4323C22semidirect
129. D4×C11⋊C8C22semidirect
130. #10622622C22semidirect
131. #10622616C22semidirect
132. #10622615C22semidirect
133. #10622584C22semidirect
134. C2×#66873C22semidirect
135. #10622504C22semidirect
136. #10622499C22semidirect
137. #10622495C22semidirect
138. D11×#107C22semidirect
139. #10622484C22semidirect
140. #10622482C22semidirect
141. #10622480C22semidirect
142. #10622479C22semidirect
143. #10622478C22semidirect
144. #10622475C22semidirect
145. #10622474C22semidirect
146. D11×#106C22semidirect
147. #10622460C22semidirect
148. #10622457C22semidirect
149. #10622451C22semidirect
150. D11×C4⋊C8C22semidirect
151. #10622431C22semidirect
152. #10622430C22semidirect
153. #10622427C22semidirect
154. #10622426C22semidirect
155. #10622424C22semidirect
156. #10622422C22semidirect
157. #10622420C22semidirect
158. #10622420C22semidirect
159. #10622417C22semidirect
160. #10622417C22semidirect
161. #10622416C22semidirect
162. #10622416C22semidirect
163. #10622416C22semidirect
164. #10622416C22semidirect
165. #10622410C22semidirect
166. #10622410C22semidirect
167. #10622399C22semidirect
168. #10622398C22semidirect
169. #10622397C22semidirect
170. #10622394C22semidirect
171. #10622390C22semidirect
172. #10622388C22semidirect
173. #10622386C22semidirect
174. #10622386C22semidirect
175. #10622385C22semidirect
176. #10622385C22semidirect
177. #10622384C22semidirect
178. #10622384C22semidirect
179. #10622384C22semidirect
181. #10622383C22semidirect
182. #10622383C22semidirect
185. D11×#102C22semidirect
186. D11×#102C22semidirect
187. #10622379C22semidirect
188. #10622377C22semidirect
189. #10622377C22semidirect
190. #10622376C22semidirect
191. #10622349C22semidirect
192. #10622347C22semidirect
193. #10622345C22semidirect
194. #10622343C22semidirect
195. #10622343C22semidirect
196. #10622340C22semidirect
197. #10622340C22semidirect
198. #10622336C22semidirect
199. #10622310C22semidirect
200. C4×D88C22semidirect
201. C4×#4313C22semidirect
202. C8×D44C22semidirect
725. #3323D11semidirect
907. #552C2×D11semidirect
946. #488C2×D11semidirect
950. #485C2×D11semidirect
960. #481C2×D11semidirect
970. #478C2×D11semidirect
972. #470C2×D11semidirect
978. #468C2×D11semidirect
988. #464C2×D11semidirect
998. #452C2×D11semidirect
1002. #450C2×D11semidirect
1016. C4×SD16C2×D11semidirect
1020. #436C2×D11semidirect
1035. #418C2×D11semidirect
1044. #417C2×D11semidirect
1649. C11#61201semidirect

Maximal subgroups

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

subgroupindex
#130825302
#130823762
#130808392
#130808192
#130808142
#130807582
#130807552
#130807162
#130807072
#130806412
#130806322
#130805932
#130805902
#130804662
#130804652
#130804562
#130804452
#130790132
#130786062
#130785972
D11×#4782
#130782842
#130782802
#130780702
#130779242
#130779212
C4×#669672
#130773612
#130771412
#130771402
C11×#33232
#6120111