Finite Group Databasebeta

← #15630962

Subgroups — #15630962

Order 2816.

2182 conjugacy classes of subgroups.

The subgroup lattice has 1872 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D11×#555C211yesmaximal, characteristic, complemented
2#13082105C211yesmaximal, characteristic, complemented
3#13080906C211yesmaximal, characteristic, complemented
4#13080903C211yesmaximal, characteristic, complemented
5#13080856C211yesmaximal, characteristic, complemented
6#13080853C211yesmaximal, characteristic, complemented
7#13080807C211yesmaximal, characteristic, complemented
8#13080802C211yesmaximal, characteristic, complemented
9#13080799C211yesmaximal, characteristic, complemented
10#13080779C211yesmaximal, characteristic, complemented
11#13080774C211yesmaximal, characteristic, complemented
12#13080771C211yesmaximal, characteristic, complemented
13#13080766C211yesmaximal, characteristic, complemented
14#13080562C211yesmaximal, characteristic, complemented
15#13080559C211yesmaximal, characteristic, complemented
16#13080542C211yesmaximal, characteristic, complemented
17#13080539C211yesmaximal, characteristic, complemented
18#13079008C211yesmaximal, characteristic, complemented
19#13078548C211yesmaximal, characteristic, complemented
20#13078544C211yesmaximal, characteristic, complemented
21#13078426C211yesmaximal, characteristic, complemented
22#13078234C211yesmaximal, characteristic, complemented
23#13078228C211yesmaximal, characteristic, complemented
24#13078078C211yesmaximal, characteristic, complemented
25#13077867C211yesmaximal, characteristic, complemented
26#13077865C211yesmaximal, characteristic, complemented
27#13077421C211yesmaximal, characteristic, complemented
28#13077349C211yesmaximal, characteristic, complemented
29#13077134C211yesmaximal, characteristic, complemented
30#13077131C211yesmaximal, characteristic, complemented
31C11×#3321C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C22×#4343C2211yescharacteristic
34C11×#555C2211yescharacteristic, complemented
35C11×#548C2211yescharacteristic, complemented
36#10623365C2211yescharacteristic, complemented
37Q8×C22⋊D11C2211yescharacteristic, complemented
38C2×#66967C2211yescharacteristic
39C2×#66967C2211yescharacteristic, complemented
40C2×#66964C2211yescharacteristic, complemented
41C2×M16×D11C2211yescharacteristic, complemented
42C22×#4313C2211yescharacteristic, complemented
43#10623265C2211yescharacteristic, complemented
44D11×C4⋊Q8C2211yescharacteristic, complemented
45#10623207—21no—
46#10623207C2211yescharacteristic, complemented
47D11×#124—21no—
48D11×#124—21no—
49#10623201—21no—
50#10623201—21no—
51#10623199—21no—
52#10623199C2211yescharacteristic
53#10623162—21no—
54#10623162C2211yescharacteristic, complemented
55#10623158—21no—
56#10623158C2211yescharacteristic
57#10623147—21no—
58#10623147C2211yescharacteristic
59#10623147C2211yescharacteristic, complemented
60#10623140—21no—
61#10623140C2211yescharacteristic, complemented
62#10623137—21no—
63#10623137C2211yescharacteristic
64D11×#121—21no—
65D11×#121C2211yescharacteristic, complemented
66D11×#121C2211yescharacteristic, complemented
67#10623107C2211yescharacteristic, complemented
68C4×#4343C2211yescharacteristic
69#10623094C2211yescharacteristic, complemented
70#10623094C2211yescharacteristic, complemented
71#10623081—21no—
72#10623081C2211yescharacteristic, complemented
73C4×D4×D11—21no—
74C4×D4×D11C2211yescharacteristic
75C4×D4×D11C2211yescharacteristic, complemented
76#10623063—21no—
77#10623063C2211yescharacteristic
78#10623063C2211yescharacteristic, complemented
79D11×#117—21no—
80D11×#117C2211yescharacteristic, complemented
81D11×#117C2211yescharacteristic, complemented
82C11×#489C2211yescharacteristic, complemented
83C11×#485C2211yescharacteristic, complemented
84C11×#482C2211yescharacteristic, complemented
85C11×#475C2211yescharacteristic, complemented
86C11×#469C2211yescharacteristic, complemented
87C11×#465C2211yescharacteristic, complemented
88C11×#463C2211yescharacteristic, complemented
89C11×#449C2211yescharacteristic, complemented
90C11×#448C2211yescharacteristic, complemented
91C11×#440C2211yescharacteristic, complemented
92C11×#435C2211yescharacteristic, complemented
93C11×#419C2211yescharacteristic, complemented
94C11×#416C2211yescharacteristic, complemented
95#10622851C2211yescharacteristic, complemented
96#10622846C2211yescharacteristic, complemented
97#10622840C2211yescharacteristic, complemented
98#10622838C2211yescharacteristic, complemented
99#10622787C2211yescharacteristic, complemented
100#10622785C2211yescharacteristic, complemented
101#10622785C2211yescharacteristic, complemented
102#10622783C2211yescharacteristic, complemented
103#10622775C2211yescharacteristic, complemented
104SD16×Dic11C2211yescharacteristic, complemented
105#10622770C2211yescharacteristic, complemented
106#10622769C2211yescharacteristic, complemented
107#10622763C2211yescharacteristic, complemented
108#10622747C2211yescharacteristic, complemented
109#10622744C2211yescharacteristic, complemented
110#10622741C2211yescharacteristic, complemented
111#10622728C2211yescharacteristic, complemented
112#10622726C2211yescharacteristic, complemented
113C8×C22⋊D11C2211yescharacteristic, complemented
114#10622702C2211yescharacteristic, complemented
115#10622700C2211yescharacteristic, complemented
116#10622670C2211yescharacteristic, complemented
117#10622668C2211yescharacteristic, complemented
118#10622661C2211yescharacteristic, complemented
119#10622658C2211yescharacteristic, complemented
120#10622655C2211yescharacteristic, complemented
121#10622652C2211yescharacteristic, complemented
122#10622651C2211yescharacteristic, complemented
123#10622650C2211yescharacteristic, complemented
124#10622649C2211yescharacteristic, complemented
125#10622648C2211yescharacteristic, complemented
126#10622639C2211yescharacteristic, complemented
127#10622633C2211yescharacteristic, complemented
128#10622629C2211yescharacteristic, complemented
129#10622627C2211yescharacteristic, complemented
130#10622624C2211yescharacteristic, complemented
131#10622616C2211yescharacteristic, complemented
132#10622615C2211yescharacteristic, complemented
133#10622614C2211yescharacteristic, complemented
134#10622609C2211yescharacteristic, complemented
135#10622501C2211yescharacteristic, complemented
136#10622498C2211yescharacteristic, complemented
137#10622494C2211yescharacteristic, complemented
138#10622485C2211yescharacteristic, complemented
139#10622483C2211yescharacteristic, complemented
140#10622483C2211yescharacteristic, complemented
141#10622480C2211yescharacteristic, complemented
142#10622479C2211yescharacteristic, complemented
143#10622478C2211yescharacteristic, complemented
144#10622477C2211yescharacteristic, complemented
145#10622474C2211yescharacteristic, complemented
146#10622474C2211yescharacteristic, complemented
147#10622459C2211yescharacteristic, complemented
148#10622457C2211yescharacteristic, complemented
149#10622450C2211yescharacteristic, complemented
150#10622449C2211yescharacteristic, complemented
151#10622431C2211yescharacteristic, complemented
152#10622428C2211yescharacteristic, complemented
153#10622427C2211yescharacteristic, complemented
154#10622425C2211yescharacteristic, complemented
155#10622424C2211yescharacteristic, complemented
156#10622424C2211yescharacteristic, complemented
157#10622419C2211yescharacteristic, complemented
158#10622417C2211yescharacteristic, complemented
159#10622417C2211yescharacteristic, complemented
160#10622417C2211yescharacteristic, complemented
161#10622417C2211yescharacteristic, complemented
162#10622416C2211yescharacteristic
163#10622416C2211yescharacteristic
164#10622416C2211yescharacteristic
165#10622416C2211yescharacteristic, complemented
166#10622416C2211yescharacteristic, complemented
167#10622416C2211yescharacteristic, complemented
168#10622415C2211yescharacteristic, complemented
169#10622415C2211yescharacteristic, complemented
170#10622407C2211yescharacteristic, complemented
171#10622407C2211yescharacteristic, complemented
172#10622405C2211yescharacteristic, complemented
173#10622405C2211yescharacteristic, complemented
174#10622401C2211yescharacteristic, complemented
175#10622399C2211yescharacteristic, complemented
176#10622397C2211yescharacteristic, complemented
177#10622395C2211yescharacteristic, complemented
178#10622392C2211yescharacteristic, complemented
179#10622391C2211yescharacteristic, complemented
180#10622388C2211yescharacteristic, complemented
181#10622386C2211yescharacteristic, complemented
182#10622384C2211yescharacteristic, complemented
183#10622384C2211yescharacteristic, complemented
184#10622384C2211yescharacteristic, complemented
185#10622383C2211yescharacteristic, complemented
186#10622383C2211yescharacteristic, complemented
187#10622383C2211yescharacteristic, complemented
188#10622373C2211yescharacteristic, complemented
189#10622373C2211yescharacteristic, complemented
190#10622369C2211yescharacteristic, complemented
191#10622350C2211yescharacteristic, complemented
192#10622347C2211yescharacteristic, complemented
193#10622345C2211yescharacteristic, complemented
194#10622342C2211yescharacteristic, complemented
195#10622339C2211yescharacteristic, complemented
196#10622339C2211yescharacteristic, complemented
197(C22⋊D11)⋊C8C2211yescharacteristic, complemented
198#10622336C2211yescharacteristic, complemented
199#10622327C2211yescharacteristic, complemented
200#10622324C2211yescharacteristic, complemented
201#10622320C2211yescharacteristic, complemented
202#10622319C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C22×Q8×C11C2311yescharacteristic
205#41×D11—24no—
206#41×D11—42no—
207C2×#4343—21no—
208C2×#4343—21no—
209C2×#4343—24no—
210C2×#4343—42no—
211C2×#4343C2311yescharacteristic
212C2×#4343C2311yescharacteristic
213C2×#4343C2311yescharacteristic
214C2×#4343C2311yescharacteristic
215C2×Q8×D11—21no—
216C2×Q8×D11C2311yescharacteristic
217C2×#4341—21no—
218C2×#4341C2311yescharacteristic
219C2×D4×D11—21no—
220C2×D4×D11—21no—
221C2×D4×D11—21no—
222C2×D4×D11—21no—
223C2×D4×D11D411yescharacteristic
224C2×D4×D11C2311yescharacteristic
225C2×D4×D11C2311yescharacteristic
226C2×#4339—21no—
227C2×#4339C2311yescharacteristic
228C22×D44—21no—
229C22×D44C2311yescharacteristic
230C22×C4×D11—21no—
231C22×C4×D11—21no—
232C22×C4×D11—21no—
233C22×C4×D11C2311yescharacteristic
234C22×C4×D11C2311yescharacteristic
235C2×C11×SD16C2311yescharacteristic
236C2×C11×SD16C2311yescharacteristic
237C2×C11×D8C2311yescharacteristic
238C2×C11×M16C2311yescharacteristic
239C22×C8×C11C2311yescharacteristic
240C11×C4⋊Q8C2311yescharacteristic
241C11×#124—21no—
242C11×#124—21no—
243C11×#124—21no—
244C11×#124C2311yescharacteristic
245C11×C22⋊Q8—21no—
246C11×C22⋊Q8C2311yescharacteristic
247C11×#121—21no—
248C11×#121—21no—
249C11×#121C2311yescharacteristic
250C11×#121C2311yescharacteristic
251C11×#121C2311yescharacteristic
252C4×Q8×C11C2311yescharacteristic
253C4×D4×C11—21no—
254C4×D4×C11C2311yescharacteristic
255C4×D4×C11C2311yescharacteristic
256C11×#117—21no—
257C11×#117C2311yescharacteristic
258C11×#117C2311yescharacteristic
259#67000—21no—
260#67000—21no—
261#66999—21no—
262#66999C2311yescharacteristic
263Q8×Dic11C2311yescharacteristic
264#66997—21no—
265#66997—21no—
266#66997C2311yescharacteristic
267C2×#4325C2311yescharacteristic
268C2×#4325C2311yescharacteristic
269#66993—21no—
270#66993C2311yescharacteristic
271#66992—21no—
272#66992—21no—
273#66992—21no—
274#66992—21no—
275#66991—21no—
276#66991—21no—
277#66991C2311yescharacteristic
278#66991C2311yescharacteristic
279#66991C2311yescharacteristic
280#66990—21no—
281#66990—21no—
282#66990—21no—
283#66989—21no—
284#66989—21no—
285D4×Dic11—21no—
286D4×Dic11D411yescharacteristic
287D4×Dic11C2311yescharacteristic
288C2×#4324C2311yescharacteristic
289C2×#4323C2311yescharacteristic
290C2×#4323C2311yescharacteristic
291C2×#4323C2311yescharacteristic
292#66983—21no—
293#66983—21no—
294#66983C2311yescharacteristic
295#66983C2311yescharacteristic
296#66983C2311yescharacteristic
297C4×C22⋊D11—21no—
298C4×C22⋊D11—21no—
299C4×C22⋊D11—21no—
300C4×C22⋊D11C2311yescharacteristic
301C4×C22⋊D11C2311yescharacteristic
302#66979—21no—
303#66979C2311yescharacteristic
304#66979C2311yescharacteristic
305#66977—21no—
306#66977C2311yescharacteristic
307C2×#4318C2311yescharacteristic
308C22×C11⋊C8C2311yescharacteristic
309#66967—24no—
310#66967—42no—
311#66964—42no—
312M16×D11—42no—
313C2×D88C2311yescharacteristic
314C2×D88C2311yescharacteristic
315C2×#4314C2311yescharacteristic
316C2×#4313—42no—
317C2×#4313C2311yescharacteristic
318C2×#4313C2311yescharacteristic
319C2×#4313C2311yescharacteristic
320C2×#4313C2311yescharacteristic
321C2×#4313C2311yescharacteristic
322C2×#4313C2311yescharacteristic
323C2×C8×D11C2311yescharacteristic
324C2×C8×D11C2311yescharacteristic
325#66950—21no—
326#66950C2311yescharacteristic
327#66948—21no—
328#66948—21no—
329#66948C2311yescharacteristic
330#66948C2311yescharacteristic
331#66948C2311yescharacteristic
332#66947—21no—
333#66947—21no—
334#66947—21no—
335#66946—21no—
336#66946—21no—
337#66946D411yescharacteristic
338#66946C2311yescharacteristic
339#66946C2311yescharacteristic
340#66945—21no—
341#66945—21no—
342#66945—21no—
343#66945C2311yescharacteristic
344#66945C2311yescharacteristic
345#66945C2311yescharacteristic
346#66945C2311yescharacteristic
347#66945C2311yescharacteristic
348C4⋊C4×D11—21no—
349C4⋊C4×D11—21no—
350C4⋊C4×D11D411yescharacteristic
351C4⋊C4×D11C2311yescharacteristic
352C4⋊C4×D11C2311yescharacteristic
353C4⋊C4×D11C2311yescharacteristic
354#66941—21no—
355#66941C2311yescharacteristic
356#66941C2311yescharacteristic
357#66938—21no—
358#66938—21no—
359#66938—21no—
360#66938—21no—
361#66938—21no—
362#66938—21no—
363#66938—21no—
364#66938—21no—
365#66937—21no—
366#66937—21no—
367#66937—21no—
368#66937—21no—
369#66937—21no—
370#66937—21no—
371#66937—21no—
372#66937—21no—
373#66937—21no—
374#66937—21no—
375#66936—21no—
376#66936—21no—
377#66936—21no—
378#66935—21no—
379#66935—21no—
380#66935—21no—
381(C22⋊D11)⋊C4—21no—
382(C22⋊D11)⋊C4—21no—
383(C22⋊D11)⋊C4—21no—
384(C22⋊D11)⋊C4—21no—
385(C22⋊D11)⋊C4—21no—
386(C22⋊D11)⋊C4D411yescharacteristic
387(C22⋊D11)⋊C4D411yescharacteristic
388C22⋊C4×D11—21no—
389C22⋊C4×D11—21no—
390C22⋊C4×D11—21no—
391C22⋊C4×D11—21no—
392C22⋊C4×D11—21no—
393C22⋊C4×D11—21no—
394C22⋊C4×D11—21no—
395C22⋊C4×D11D411yescharacteristic
396C22⋊C4×D11D411yescharacteristic
397#66930—21no—
398#66930—21no—
399#66930—21no—
400#66930—21no—
401#66928—21no—
402#66928—21no—
403#66928—21no—
404#66928C2311yescharacteristic
405C4×D44—21no—
406C4×D44—21no—
407C4×D44C2311yescharacteristic
408C4×D44C2311yescharacteristic
409C4×D44C2311yescharacteristic
410#66925—21no—
411#66925—21no—
412#66925—21no—
413#66925—21no—
414C42×D11—21no—
415C42×D11—21no—
416C42×D11—21no—
417C42×D11C2311yescharacteristic
418#66922C2311yescharacteristic
419C11×#107C2311yescharacteristic
420C11×#106C2311yescharacteristic
421C11×#106C2311yescharacteristic
422C11×C4⋊C8C2311yescharacteristic
423C11×#103C2311yescharacteristic
424C11×#103C2311yescharacteristic
425C11×#103C2311yescharacteristic
426C11×#103C2311yescharacteristic
427C11×#103C2311yescharacteristic
428C11×#103C2311yescharacteristic
429C11×#102C2311yescharacteristic
430C11×#102C2311yescharacteristic
431C11×#102C2311yescharacteristic
432C11×#102C2311yescharacteristic
433C11×C22⋊C8C2311yescharacteristic
434C11×C22⋊C8C2311yescharacteristic
435C11×#97C2311yescharacteristic
436#66899C2311yescharacteristic
437#66899C2311yescharacteristic
438#66899C2311yescharacteristic
439#66899C2311yescharacteristic
440#66899C2311yescharacteristic
441#66899C2311yescharacteristic
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
465Dic11⋊C8C2311yescharacteristic
466Dic11⋊C8C2311yescharacteristic
467C8×Dic11C2311yescharacteristic
468C8×Dic11C2311yescharacteristic
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
486#66867C2311yescharacteristic
487#61166—111nomaximal, Sylow
488C23×D11—21no—
489C23×D11—21no—
490C23×D11—21no—
491C23×D11C2×D411yescharacteristic
492C23×D11C2×D411yescharacteristic
493C11×#41—22no—
494C11×#41—41no—
495C2×Q8×C11—21no—
496C2×Q8×C11—21no—
497C2×Q8×C11—22no—
498C2×Q8×C11—41no—
499C2×Q8×C11C2411yescharacteristic
500C2×Q8×C11C2411yescharacteristic
501C2×D4×C11—21no—
502C2×D4×C11—21no—
503C2×D4×C11—21no—
504C2×D4×C11—21no—
505C2×D4×C11C2×D411yescharacteristic
506C2×D4×C11C2411yescharacteristic
507C2×D4×C11C2411yescharacteristic
508C22×C4×C11—21no—
509C22×C4×C11—21no—
510C22×C4×C11—21no—
511C22×C4×C11C2411yescharacteristic
512C22×C4×C11C2411yescharacteristic
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—21no—
523C2×C22⋊D11—21no—
524C2×C22⋊D11—21no—
525C2×C22⋊D11C2×D411yescharacteristic
526C2×C22⋊D11C2×D411yescharacteristic
527C22×Dic11—21no—
528C22×Dic11—21no—
529C22×Dic11C2×D411yescharacteristic
530C22×Dic11C2×D411yescharacteristic
531#4343—22no—
532#4343—22no—
533#4343—22no—
534#4343—22no—
535#4343—22no—
536#4343—41no—
537#4343—41no—
538#4343—44no—
539#4343—44no—
540#4343#4114yes—
541Q8×D11—22no—
542Q8×D11—41no—
543Q8×D11—82no—
544#4341—22no—
545#4341—22no—
546#4341—44no—
547D4×D11—22no—
548D4×D11—22no—
549D4×D11—22no—
550D4×D11—41no—
551D4×D11—44no—
552D4×D11—42no—
553D4×D11—44no—
554D4×D11—82no—
555D4×D11—82no—
556#4339—22no—
557#4339—41no—
558#4339—44no—
559C2×D44—21no—
560C2×D44—21no—
561C2×D44—21no—
562C2×D44—21no—
563C2×D44—21no—
564C2×D44—21no—
565C2×D44—21no—
566C2×D44—22no—
567C2×D44—21no—
568C2×D44—41no—
569C2×D44—44no—
570C2×D44C2×D411yescharacteristic
571C2×D44C2411yescharacteristic
572C2×D44C2411yescharacteristic
573C2×D44C2411yescharacteristic
574C2×C4×D11—21no—
575C2×C4×D11—22no—
576C2×C4×D11—22no—
577C2×C4×D11—22no—
578C2×C4×D11—22no—
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—44no—
592C2×C4×D11—44no—
593C2×C4×D11—44no—
594C2×C4×D11C2×D411yescharacteristic
595C2×C4×D11C2×D411yescharacteristic
596C2×C4×D11C2×D411yescharacteristic
597C2×C4×D11C2×D411yescharacteristic
598C2×C4×D11C2×D411yescharacteristic
599C2×C4×D11C2×D411yescharacteristic
600C2×C4×D11C2411yescharacteristic
601C2×C4×D11C2411yescharacteristic
602C2×C4×D11C2411yescharacteristic
603C2×Dic22—21no—
604C2×Dic22—21no—
605C2×Dic22—21no—
606C2×Dic22—21no—
607C2×Dic22C2411yescharacteristic
608C11×SD16—22no—
609C11×SD16—41no—
610C11×D8—41no—
611C11×M16—41no—
612C2×C8×C11—41no—
613C2×C8×C11C2411yescharacteristic
614C2×C8×C11C2411yescharacteristic
615C2×C8×C11C2411yescharacteristic
616C2×C8×C11C2411yescharacteristic
617C11×C4⋊C4—21no—
618C11×C4⋊C4—21no—
619C11×C4⋊C4—21no—
620C11×C4⋊C4C2×D411yescharacteristic
621C11×C4⋊C4C2411yescharacteristic
622C11×C4⋊C4C2411yescharacteristic
623C11×C4⋊C4C2411yescharacteristic
624C11×C4⋊C4C2411yescharacteristic
625C11×C22⋊C4—21no—
626C11×C22⋊C4—21no—
627C11×C22⋊C4—21no—
628C11×C22⋊C4—21no—
629C11×C22⋊C4—21no—
630C11×C22⋊C4—21no—
631C11×C22⋊C4—21no—
632C11×C22⋊C4—21no—
633C11×C22⋊C4—21no—
634C11×C22⋊C4C2×D411yescharacteristic
635C11×C22⋊C4C2×D411yescharacteristic
636C42×C11—21no—
637C42×C11—21no—
638C42×C11—21no—
639C42×C11C2411yescharacteristic
640C22⋊Dic11—21no—
641C22⋊Dic11—21no—
642C22⋊Dic11—21no—
643C22⋊Dic11—21no—
644C22⋊Dic11—21no—
645C22⋊Dic11—21no—
646C22⋊Dic11—21no—
647C22⋊Dic11C2×D411yescharacteristic
648C22⋊Dic11C2×D411yescharacteristic
649#4325—22no—
650#4325—41no—
651#4324—41no—
652#4323—22no—
653#4323—41no—
654#4323—41no—
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)⋊C4—21no—
667(C2×D11)⋊C4—21no—
668(C2×D11)⋊C4—21no—
669(C2×D11)⋊C4—21no—
670(C2×D11)⋊C4—21no—
671(C2×D11)⋊C4—21no—
672(C2×D11)⋊C4—21no—
673(C2×D11)⋊C4—21no—
674(C2×D11)⋊C4C2×D411yescharacteristic
675(C2×D11)⋊C4C2×D411yescharacteristic
676(C2×D11)⋊C4C2×D411yescharacteristic
677(C2×D11)⋊C4C2×D411yescharacteristic
678C4⋊Dic11—21no—
679C4⋊Dic11—21no—
680C4⋊Dic11—21no—
681C4⋊Dic11C2×D411yescharacteristic
682C4⋊Dic11C2411yescharacteristic
683C4⋊Dic11C2411yescharacteristic
684C4⋊Dic11C2411yescharacteristic
685C4⋊Dic11C2411yescharacteristic
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×Dic11—21no—
703C4×Dic11—21no—
704C4×Dic11—21no—
705C4×Dic11C2×D411yescharacteristic
706C4×Dic11C2×D411yescharacteristic
707C4×Dic11C2411yescharacteristic
708#4318—41no—
709C2×C11⋊C8—41no—
710C2×C11⋊C8C2411yescharacteristic
711C2×C11⋊C8C2411yescharacteristic
712C2×C11⋊C8C2411yescharacteristic
713C2×C11⋊C8C2411yescharacteristic
714D88—22no—
715D88—41no—
716#4314—41no—
717#4313—22no—
718#4313—22no—
719#4313—22no—
720#4313—22no—
721#4313—41no—
722#4313—41no—
723C8×D11—41no—
724C8×D11—41no—
725C2×#555—111no—
726D4×#41—111no—
727#3329—111no—
728#3329—111no—
729#3325—111no—
730#3325—111no—
731#3321—111no—
732#3321—111no—
733#3321—111no—
734#3321D1111yescharacteristic, complemented
735#3319—111no—
736#3319—111no—
737#3319—111no—
738#3319—111no—
739#3305—111no—
740#3305—111no—
741#3303—111no—
742#3303—111no—
743#3141—111no—
744#3093—111no—
745#3093—111no—
746#3079—111no—
747#3055—111no—
748#3055—111no—
749#3036—111no—
750#3006—111no—
751#3006—111no—
752C4×AGL(1,ℤ/8)—111no—
753D4×M16—111no—
754#2896—111no—
755#2896—111no—
756C23×C11—21no—
757C23×C11—21no—
758C23×C11C22×D411yescharacteristic
759C23×C11C22×D411yescharacteristic
760C22×D11—21no—
761C22×D11—22no—
762C22×D11—22no—
763C22×D11—21no—
764C22×D11—21no—
765C22×D11—41no—
766C22×D11—41no—
767C22×D11—41no—
768C22×D11—41no—
769C22×D11—42no—
770C22×D11—42no—
771C22×D11—42no—
772C22×D11—42no—
773C22×D11—42no—
774C22×D11—42no—
775C22×D11—42no—
776C22×D11—81no—
777C22×D11—81no—
778C22×D11C22×D411yescharacteristic
779C22×D11C22×D411yescharacteristic
780C22×D11C22×D411yescharacteristic
781Q8×C11—21no—
782Q8×C11—21no—
783Q8×C11—21no—
784Q8×C11—42no—
785Q8×C11—81no—
786Q8×C11C2×#4112yes—
787D4×C11—21no—
788D4×C11—21no—
789D4×C11—21no—
790D4×C11—21no—
791D4×C11—41no—
792D4×C11—42no—
793D4×C11—42no—
794D4×C11—81no—
795D4×C11—81no—
796C2×C4×C11—21no—
797C2×C4×C11—21no—
798C2×C4×C11—21no—
799C2×C4×C11—21no—
800C2×C4×C11—21no—
801C2×C4×C11—21no—
802C2×C4×C11—21no—
803C2×C4×C11—21no—
804C2×C4×C11—21no—
805C2×C4×C11—21no—
806C2×C4×C11—42no—
807C2×C4×C11—42no—
808C2×C4×C11—42no—
809C2×C4×C11C22×D411yescharacteristic
810C2×C4×C11C22×D411yescharacteristic
811C2×C4×C11C22×D411yescharacteristic
812C2×C4×C11C22×D411yescharacteristic
813C2×C4×C11C2511yescharacteristic
814C22⋊D11—22no—
815C22⋊D11—22no—
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—
826C22⋊D11—81no—
827C22⋊D11—81no—
828C2×Dic11—22no—
829C2×Dic11—22no—
830C2×Dic11—21no—
831C2×Dic11—21no—
832C2×Dic11—21no—
833C2×Dic11—21no—
834C2×Dic11—21no—
835C2×Dic11—42no—
836C2×Dic11—42no—
837C2×Dic11C22×D411yescharacteristic
838C2×Dic11C22×D411yescharacteristic
839C2×Dic11C22×D411yescharacteristic
840C2×Dic11C22×D411yescharacteristic
841C2×Dic11C22×D411yescharacteristic
842D44—24no—
843D44—21no—
844D44—21no—
845D44—21no—
846D44—21no—
847D44—21no—
848D44—41no—
849D44—42no—
850D44—42no—
851D44—42no—
852D44—42no—
853D44—42no—
854D44—81no—
855D44—81no—
856D44C2×#4112yes—
857C4×D11—22no—
858C4×D11—22no—
859C4×D11—21no—
860C4×D11—21no—
861C4×D11—21no—
862C4×D11—21no—
863C4×D11—22no—
864C4×D11—22no—
865C4×D11—24no—
866C4×D11—22no—
867C4×D11—41no—
868C4×D11—42no—
869C4×D11—42no—
870C4×D11—42no—
871C4×D11—42no—
872C4×D11—42no—
873C4×D11—42no—
874C4×D11—42no—
875C4×D11—42no—
876C4×D11—42no—
877C4×D11—42no—
878C4×D11—42no—
879C4×D11—81no—
880C4×D11C2×#4112yes—
881C4×D11H(5,𝔽2)12yes—
882Dic22—21no—
883Dic22—21no—
884Dic22—42no—
885Dic22—81no—
886Dic22—81no—
887Dic22—81no—
888C8×C11—21no—
889C8×C11—21no—
890C8×C11—21no—
891C8×C11—21no—
892C11⋊C8—21no—
893C11⋊C8—21no—
894C11⋊C8—21no—
895C11⋊C8—21no—
896C22×#41—111no—
897C22×#41—111no—
898C2×AGL(1,ℤ/8)—111no—
899C2×AGL(1,ℤ/8)—111no—
900C2×AGL(1,ℤ/8)—111no—
901C22×M16—111no—
902C22×M16—111no—
903#555—111no—
904#555—111no—
905#555—111no—
906#555—111no—
907#555—111no—
908#555—111no—
909#555—111no—
910#555—221no—
911#555—221no—
912#555—221no—
913#555—221no—
914#555C2×D1111yescharacteristic, complemented
915#550—111no—
916D4×Q8—111no—
917#548—111no—
918#548C2×D1111yescharacteristic, complemented
919#547—111no—
920#547—221no—
921#546—111no—
922#546—111no—
923#546—221no—
924#546—221no—
925D42—111no—
926D42—221no—
927#532—111no—
928#532—221no—
929C2×C4⋊Q8—111no—
930C2×#124—221no—
931C2×#124—221no—
932#525—111no—
933#525—111no—
934#525—221no—
935#525—221no—
936C2×#121—111no—
937C2×#121—111no—
938C2×#121—221no—
939C4×#41—111no—
940C2×C4×D4—111no—
941C2×C4×D4—111no—
942C2×C4×D4—221no—
943C2×#117—111no—
944C2×#117—111no—
945C2×#117—221no—
946#489—111no—
947#489—111no—
948#489—111no—
949#489C2×D1111yescharacteristic, complemented
950#487—111no—
951#487—111no—
952#486—111no—
953#486—111no—
954#485—111no—
955#485—111no—
956#485—111no—
957#485—111no—
958#485—111no—
959#485—111no—
960#485—111no—
961#485C2×D1111yescharacteristic, complemented
962#482—111no—
963#482—111no—
964#482—111no—
965#482—111no—
966#482—111no—
967#482—111no—
968#482—111no—
969#482C2×D1111yescharacteristic, complemented
970#477—111no—
971#477—111no—
972#476—111no—
973#476—111no—
974#475—111no—
975#475C2×D1111yescharacteristic, complemented
976#474—111no—
977#474—111no—
978#469—111no—
979#469—111no—
980#469—111no—
981#469C2×D1111yescharacteristic, complemented
982#468—111no—
983#468—111no—
984#468—111no—
985#468—111no—
986#466—111no—
987#466—111no—
988#466—111no—
989#466—111no—
990#465—111no—
991#465—111no—
992#465—111no—
993#465C2×D1111yescharacteristic, complemented
994#463—111no—
995#463—111no—
996#463—111no—
997#463C2×D1111yescharacteristic, complemented
998#461—111no—
999#461—111no—
1000#459—111no—
1001#459—111no—
1002#449—111no—
1003#449—111no—
1004#449—111no—
1005#449—111no—
1006#449—111no—
1007#449—111no—
1008#449—111no—
1009#449C2×D1111yescharacteristic, complemented
1010#448—111no—
1011#448—111no—
1012#448—111no—
1013#448C2×D1111yescharacteristic, complemented
1014#447—111no—
1015#447—111no—
1016#447—111no—
1017#447—111no—
1018#442—111no—
1019#442—111no—
1020#440—111no—
1021#440C2×D1111yescharacteristic, complemented
1022C4×SD16—111no—
1023C4×SD16—111no—
1024C4×D8—111no—
1025C4×D8—111no—
1026#436—111no—
1027#436—111no—
1028#435—111no—
1029#435—111no—
1030#435—111no—
1031#435C2×D1111yescharacteristic, complemented
1032C8×D4—111no—
1033C8×D4—111no—
1034#428—111no—
1035#428—111no—
1036#428—111no—
1037#423—111no—
1038#419—111no—
1039#419—111no—
1040#419—111no—
1041#419C2×D1111yescharacteristic, complemented
1042#418—111no—
1043#418—111no—
1044#418—111no—
1045#418—111no—
1046#418—111no—
1047#417—111no—
1048#417—111no—
1049#417—111no—
1050#417—111no—
1051#417—111no—
1052#417—111no—
1053#417—111no—
1054#417—111no—
1055#417—111no—
1056#416—111no—
1057#416—111no—
1058#416—111no—
1059#416—111no—
1060#416—111no—
1061#416—111no—
1062#416—111no—
1063#416C2×D1111yescharacteristic, complemented
1064#407—111no—
1065#407—111no—
1066C4×M16—111no—
1067C22×C11—21no—
1068C22×C11—21no—
1069C22×C11—21no—
1070C22×C11—21no—
1071C22×C11—21no—
1072C22×C11—21no—
1073C22×C11—41no—
1074C22×C11—41no—
1075C22×C11—41no—
1076C22×C11—41no—
1077C22×C11—41no—
1078C22×C11—41no—
1079C22×C11C23×D411yescharacteristic
1080C2×D11—21no—
1081C2×D11—21no—
1082C2×D11—21no—
1083C2×D11—21no—
1084C2×D11—21no—
1085C2×D11—21no—
1086C2×D11—22no—
1087C2×D11—21no—
1088C2×D11—21no—
1089C2×D11—41no—
1090C2×D11—41no—
1091C2×D11—41no—
1092C2×D11—41no—
1093C2×D11—41no—
1094C2×D11—41no—
1095C2×D11—41no—
1096C2×D11—41no—
1097C2×D11—82no—
1098C2×D11—82no—
1099C2×D11—84no—
1100C2×D11—84no—
1101C2×D11—84no—
1102C2×D11#54612yes—
1103C4×C11—21no—
1104C4×C11—21no—
1105C4×C11—21no—
1106C4×C11—22no—
1107C4×C11—21no—
1108C4×C11—41no—
1109C4×C11—41no—
1110C4×C11—41no—
1111C4×C11—41no—
1112C4×C11—41no—
1113C4×C11C22×#4111yescharacteristic
1114C4×C11C2×H(5,𝔽2)11yescharacteristic
1115Dic11—21no—
1116Dic11—21no—
1117Dic11—21no—
1118Dic11—41no—
1119Dic11—41no—
1120Dic11—41no—
1121Dic11—41no—
1122Dic11—41no—
1123Dic11#54612yes—
1124Dic11#57512yes—
1125C2×#41—111no—
1126C2×#41—111no—
1127C2×#41—111no—
1128C2×#41—111no—
1129C2×#41—111no—
1130C2×#41—111no—
1131C2×#41—221no—
1132C2×#41—221no—
1133C2×#41—221no—
1134C2×#41—221no—
1135C2×#41—224no—
1136C2×#41—224no—
1137C2×#41—442no—
1138C2×#41—442no—
1139C2×#41C22×D1111yescharacteristic
1140C22×Q8—111no—
1141C22×Q8—221no—
1142C22×Q8C22×D1111yescharacteristic
1143C22×D4—111no—
1144C22×D4—111no—
1145C22×D4—111no—
1146C22×D4—111no—
1147C22×D4—221no—
1148C22×D4—221no—
1149C22×D4—221no—
1150C22×D4—221no—
1151C22×D4—221no—
1152C23×C4—111no—
1153C23×C4—111no—
1154C23×C4—221no—
1155C23×C4—221no—
1156C23×C4—221no—
1157AGL(1,ℤ/8)—224no—
1158AGL(1,ℤ/8)—442no—
1159AGL(1,ℤ/8)—442no—
1160C2×SD16—111no—
1161C2×SD16—111no—
1162C2×SD16—111no—
1163C2×SD16—111no—
1164C2×SD16C22×D1111yescharacteristic
1165C2×SD16C22×D1111yescharacteristic
1166C2×D8—111no—
1167C2×D8—111no—
1168C2×D8—111no—
1169C2×D8—111no—
1170C2×D8—111no—
1171C2×D8C22×D1111yescharacteristic
1172C2×M16—111no—
1173C2×M16—111no—
1174C2×M16—111no—
1175C2×M16—111no—
1176C2×M16—111no—
1177C2×M16—111no—
1178C2×M16—111no—
1179C2×M16—442no—
1180C2×M16—442no—
1181C2×M16C22×D1111yescharacteristic
1182C22×C8—111no—
1183C22×C8—111no—
1184C22×C8—111no—
1185C22×C8C22×D1111yescharacteristic
1186C4⋊Q8—111no—
1187C4⋊Q8—111no—
1188C4⋊Q8—111no—
1189C4⋊Q8—111no—
1190C4⋊Q8—221no—
1191C4⋊Q8—221no—
1192C4⋊Q8—221no—
1193C4⋊Q8C22×D1111yescharacteristic
1194#127—111no—
1195#127—221no—
1196#124—21no—
1197#124—21no—
1198#124—21no—
1199#124—111no—
1200#124—221no—
1201#124—221no—
1202#124—221no—
1203#124—221no—
1204#124—221no—
1205#124—221no—
1206#124—221no—
1207#124—221no—
1208#124—221no—
1209#124—221no—
1210#124—221no—
1211#124—221no—
1212#124—221no—
1213#124—221no—
1214#124—221no—
1215#124C22×D1111yescharacteristic
1216#123—221no—
1217#123—221no—
1218#123—221no—
1219#123—221no—
1220#123—221no—
1221#123—221no—
1222C22⋊Q8—21no—
1223C22⋊Q8—111no—
1224C22⋊Q8—111no—
1225C22⋊Q8—111no—
1226C22⋊Q8—221no—
1227C22⋊Q8—221no—
1228C22⋊Q8—221no—
1229C22⋊Q8C22×D1111yescharacteristic
1230#121—21no—
1231#121—21no—
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—221no—
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#121C22×D1111yescharacteristic
1262#121C22×D1111yescharacteristic
1263#121C22×D1111yescharacteristic
1264#120—221no—
1265#120—221no—
1266#120—221no—
1267#120—221no—
1268#120—221no—
1269#120—221no—
1270C4×Q8—111no—
1271C4×Q8C22×D1111yescharacteristic
1272C4×D4—21no—
1273C4×D4—111no—
1274C4×D4—111no—
1275C4×D4—111no—
1276C4×D4—111no—
1277C4×D4—111no—
1278C4×D4—111no—
1279C4×D4—111no—
1280C4×D4—111no—
1281C4×D4—111no—
1282C4×D4—111no—
1283C4×D4—111no—
1284C4×D4—111no—
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×D4—221no—
1294C4×D4—221no—
1295C4×D4—221no—
1296C4×D4—221no—
1297C4×D4—221no—
1298C4×D4C22×D1111yescharacteristic
1299C4×D4C22×D1111yescharacteristic
1300#117—21no—
1301#117—111no—
1302#117—111no—
1303#117—111no—
1304#117—111no—
1305#117—111no—
1306#117—111no—
1307#117—111no—
1308#117—221no—
1309#117—221no—
1310#117—221no—
1311#117—221no—
1312#117—221no—
1313#117—221no—
1314#117—221no—
1315#117—221no—
1316#117—221no—
1317#117—221no—
1318#117—221no—
1319#117—221no—
1320#117C22×D1111yescharacteristic
1321#117C22×D1111yescharacteristic
1322C2×C4⋊C4—111no—
1323C2×C4⋊C4—111no—
1324C2×C4⋊C4—111no—
1325C2×C4⋊C4—111no—
1326C2×C4⋊C4—221no—
1327C2×C4⋊C4—221no—
1328C2×C22⋊C4—111no—
1329C2×C22⋊C4—111no—
1330C2×C22⋊C4—221no—
1331C2×C22⋊C4—221no—
1332C2×C22⋊C4—221no—
1333C2×C22⋊C4—221no—
1334C2×C22⋊C4—221no—
1335C2×C22⋊C4—221no—
1336C2×C22⋊C4—221no—
1337C2×C42—111no—
1338C2×C42—221no—
1339C2×C42—221no—
1340C2×C42—221no—
1341#107—111no—
1342#107—111no—
1343#107—111no—
1344#107—111no—
1345#107—111no—
1346#107C22×D1111yescharacteristic
1347#106—111no—
1348#106—111no—
1349#106—111no—
1350#106—111no—
1351#106C22×D1111yescharacteristic
1352#106C22×D1111yescharacteristic
1353C4⋊C8—111no—
1354C4⋊C8—111no—
1355C4⋊C8—111no—
1356C4⋊C8C22×D1111yescharacteristic
1357#103—111no—
1358#103—111no—
1359#103—111no—
1360#103—111no—
1361#103—111no—
1362#103—111no—
1363#103—111no—
1364#103—111no—
1365#103—111no—
1366#103—111no—
1367#103—111no—
1368#103—111no—
1369#103C22×D1111yescharacteristic
1370#103C22×D1111yescharacteristic
1371#103C22×D1111yescharacteristic
1372#103C22×D1111yescharacteristic
1373#103C22×D1111yescharacteristic
1374#103C22×D1111yescharacteristic
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#102—111no—
1385#102—111no—
1386#102—111no—
1387#102—111no—
1388#102—111no—
1389#102—111no—
1390#102—111no—
1391#102—111no—
1392#102—111no—
1393#102C22×D1111yescharacteristic
1394#102C22×D1111yescharacteristic
1395#102C22×D1111yescharacteristic
1396#102C22×D1111yescharacteristic
1397C22⋊C8—111no—
1398C22⋊C8—111no—
1399C22⋊C8—111no—
1400C22⋊C8—111no—
1401C22⋊C8—111no—
1402C22⋊C8—111no—
1403C22⋊C8C22×D1111yescharacteristic
1404C22⋊C8C22×D1111yescharacteristic
1405#97—111no—
1406#97C22×D1111yescharacteristic
1407C4×C8—111no—
1408C4×C8—111no—
1409C2×C11—41no—
1410C2×C11—41no—
1411C2×C11—81no—
1412C2×C11—81no—
1413C2×C11C2×#54611yescharacteristic
1414C2×C11C2×#57511yescharacteristic
1415C2×C11#358511yescharacteristic
1416D11—22no—
1417D11—41no—
1418D11—41no—
1419D11—42no—
1420D11—81no—
1421D11—81no—
1422C24—111no—
1423C24—111no—
1424C24—221no—
1425C24—221no—
1426C24—221no—
1427#41—22no—
1428#41—41no—
1429#41—114no—
1430#41—222no—
1431#41—222no—
1432#41—222no—
1433#41—222no—
1434#41—222no—
1435#41—222no—
1436#41—222no—
1437#41—222no—
1438#41—441no—
1439#41—444no—
1440#41—444no—
1441#41—444no—
1442#41—441no—
1443#41—441no—
1444#41—444no—
1445C2×Q8—21no—
1446C2×Q8—21no—
1447C2×Q8—22no—
1448C2×Q8—41no—
1449C2×Q8—111no—
1450C2×Q8—221no—
1451C2×Q8—221no—
1452C2×Q8—221no—
1453C2×Q8—221no—
1454C2×Q8—222no—
1455C2×Q8—441no—
1456C2×Q8—882no—
1457C2×Q8C23×D1111yescharacteristic
1458C2×Q8C23×D1111yescharacteristic
1459C2×D4—21no—
1460C2×D4—21no—
1461C2×D4—21no—
1462C2×D4—21no—
1463C2×D4—111no—
1464C2×D4—111no—
1465C2×D4—111no—
1466C2×D4—111no—
1467C2×D4—111no—
1468C2×D4—111no—
1469C2×D4—222no—
1470C2×D4—221no—
1471C2×D4—221no—
1472C2×D4—221no—
1473C2×D4—221no—
1474C2×D4—221no—
1475C2×D4—221no—
1476C2×D4—221no—
1477C2×D4—222no—
1478C2×D4—222no—
1479C2×D4—221no—
1480C2×D4—221no—
1481C2×D4—221no—
1482C2×D4—221no—
1483C2×D4—222no—
1484C2×D4—221no—
1485C2×D4—221no—
1486C2×D4—221no—
1487C2×D4—221no—
1488C2×D4—221no—
1489C2×D4—221no—
1490C2×D4—221no—
1491C2×D4—221no—
1492C2×D4—221no—
1493C2×D4—441no—
1494C2×D4—444no—
1495C2×D4—441no—
1496C2×D4—442no—
1497C2×D4—444no—
1498C2×D4—444no—
1499C2×D4—882no—
1500C2×D4—882no—
1501C2×D4D4×D1111yescharacteristic
1502C2×D4C23×D1111yescharacteristic
1503C2×D4C23×D1111yescharacteristic
1504C22×C4—21no—
1505C22×C4—21no—
1506C22×C4—21no—
1507C22×C4—111no—
1508C22×C4—111no—
1509C22×C4—111no—
1510C22×C4—111no—
1511C22×C4—111no—
1512C22×C4—111no—
1513C22×C4—111no—
1514C22×C4—111no—
1515C22×C4—111no—
1516C22×C4—111no—
1517C22×C4—111no—
1518C22×C4—221no—
1519C22×C4—222no—
1520C22×C4—222no—
1521C22×C4—222no—
1522C22×C4—222no—
1523C22×C4—221no—
1524C22×C4—221no—
1525C22×C4—221no—
1526C22×C4—221no—
1527C22×C4—221no—
1528C22×C4—221no—
1529C22×C4—221no—
1530C22×C4—221no—
1531C22×C4—221no—
1532C22×C4—221no—
1533C22×C4—221no—
1534C22×C4—221no—
1535C22×C4—221no—
1536C22×C4—221no—
1537C22×C4—444no—
1538C22×C4—444no—
1539C22×C4—444no—
1540C22×C4C23×D1111yescharacteristic
1541C22×C4C23×D1111yescharacteristic
1542SD16—22no—
1543SD16—41no—
1544SD16—222no—
1545SD16—441no—
1546SD16—441no—
1547SD16—441no—
1548D8—41no—
1549D8—222no—
1550D8—222no—
1551D8—441no—
1552D8—441no—
1553D8—441no—
1554M16—41no—
1555M16—222no—
1556M16—222no—
1557M16—222no—
1558M16—222no—
1559M16—441no—
1560M16—441no—
1561M16—441no—
1562C2×C8—41no—
1563C2×C8—111no—
1564C2×C8—111no—
1565C2×C8—111no—
1566C2×C8—111no—
1567C2×C8—441no—
1568C2×C8—441no—
1569C2×C8—441no—
1570C2×C8C23×D1111yescharacteristic
1571C2×C8C23×D1111yescharacteristic
1572C2×C8C23×D1111yescharacteristic
1573C2×C8C23×D1111yescharacteristic
1574C4⋊C4—21no—
1575C4⋊C4—21no—
1576C4⋊C4—21no—
1577C4⋊C4—111no—
1578C4⋊C4—111no—
1579C4⋊C4—111no—
1580C4⋊C4—111no—
1581C4⋊C4—111no—
1582C4⋊C4—111no—
1583C4⋊C4—111no—
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⋊C4—221no—
1595C4⋊C4—221no—
1596C4⋊C4D4×D1111yescharacteristic
1597C4⋊C4C23×D1111yescharacteristic
1598C4⋊C4C23×D1111yescharacteristic
1599C4⋊C4C23×D1111yescharacteristic
1600C4⋊C4C23×D1111yescharacteristic
1601C22⋊C4—21no—
1602C22⋊C4—21no—
1603C22⋊C4—21no—
1604C22⋊C4—21no—
1605C22⋊C4—21no—
1606C22⋊C4—21no—
1607C22⋊C4—21no—
1608C22⋊C4—21no—
1609C22⋊C4—21no—
1610C22⋊C4—111no—
1611C22⋊C4—111no—
1612C22⋊C4—111no—
1613C22⋊C4—111no—
1614C22⋊C4—111no—
1615C22⋊C4—111no—
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⋊C4—221no—
1637C22⋊C4—221no—
1638C22⋊C4—221no—
1639C22⋊C4—221no—
1640C22⋊C4—221no—
1641C22⋊C4—221no—
1642C22⋊C4D4×D1111yescharacteristic
1643C22⋊C4D4×D1111yescharacteristic
1644C42—21no—
1645C42—21no—
1646C42—21no—
1647C42—111no—
1648C42—111no—
1649C42—111no—
1650C42—221no—
1651C42—221no—
1652C42—221no—
1653C42—221no—
1654C42—221no—
1655C42—221no—
1656C42—221no—
1657C42—221no—
1658C42C23×D1111yescharacteristic
1659C11#6116611yescharacteristic, complemented, Sylow
1660C23—21no—
1661C23—21no—
1662C23—111no—
1663C23—111no—
1664C23—111no—
1665C23—222no—
1666C23—222no—
1667C23—221no—
1668C23—221no—
1669C23—221no—
1670C23—441no—
1671C23—441no—
1672C23—441no—
1673C23—441no—
1674C23—442no—
1675C23—442no—
1676C23—442no—
1677C23—442no—
1678C23—442no—
1679C23—442no—
1680C23—442no—
1681C23—881no—
1682C23—881no—
1683C23C2×D4×D1111yescharacteristic
1684C23C2×D4×D1111yescharacteristic
1685Q8—21no—
1686Q8—21no—
1687Q8—21no—
1688Q8—42no—
1689Q8—81no—
1690Q8—221no—
1691Q8—221no—
1692Q8—442no—
1693Q8—881no—
1694Q8—881no—
1695Q8—881no—
1696Q8#41×D1112yes—
1697D4—21no—
1698D4—21no—
1699D4—21no—
1700D4—21no—
1701D4—41no—
1702D4—42no—
1703D4—42no—
1704D4—81no—
1705D4—81no—
1706D4—112no—
1707D4—224no—
1708D4—222no—
1709D4—222no—
1710D4—221no—
1711D4—221no—
1712D4—221no—
1713D4—221no—
1714D4—221no—
1715D4—441no—
1716D4—442no—
1717D4—442no—
1718D4—442no—
1719D4—442no—
1720D4—442no—
1721D4—442no—
1722D4—442no—
1723D4—442no—
1724D4—442no—
1725D4—442no—
1726D4—881no—
1727D4—881no—
1728D4—881no—
1729D4—881no—
1730D4—881no—
1731D4—881no—
1732D4—881no—
1733D4—881no—
1734D4—881no—
1735C2×C4—21no—
1736C2×C4—21no—
1737C2×C4—21no—
1738C2×C4—21no—
1739C2×C4—21no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—42no—
1746C2×C4—42no—
1747C2×C4—42no—
1748C2×C4—111no—
1749C2×C4—111no—
1750C2×C4—112no—
1751C2×C4—112no—
1752C2×C4—111no—
1753C2×C4—111no—
1754C2×C4—111no—
1755C2×C4—222no—
1756C2×C4—222no—
1757C2×C4—222no—
1758C2×C4—224no—
1759C2×C4—222no—
1760C2×C4—222no—
1761C2×C4—222no—
1762C2×C4—222no—
1763C2×C4—221no—
1764C2×C4—221no—
1765C2×C4—221no—
1766C2×C4—221no—
1767C2×C4—221no—
1768C2×C4—221no—
1769C2×C4—221no—
1770C2×C4—221no—
1771C2×C4—221no—
1772C2×C4—441no—
1773C2×C4—442no—
1774C2×C4—442no—
1775C2×C4—442no—
1776C2×C4—442no—
1777C2×C4—442no—
1778C2×C4—442no—
1779C2×C4—442no—
1780C2×C4—442no—
1781C2×C4—442no—
1782C2×C4—442no—
1783C2×C4—442no—
1784C2×C4—442no—
1785C2×C4—442no—
1786C2×C4—881no—
1787C2×C4C2×D4×D1111yescharacteristic
1788C2×C4C2×D4×D1111yescharacteristic
1789C2×C4C2×D4×D1111yescharacteristic
1790C2×C4C2×D4×D1111yescharacteristic
1791C2×C4C24×D1111yescharacteristic
1792C8—21no—
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—221no—
1797C8—221no—
1798C8—221no—
1799C8—221no—
1800C22—21no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—21no—
1806C22—41no—
1807C22—41no—
1808C22—41no—
1809C22—41no—
1810C22—41no—
1811C22—41no—
1812C22—112no—
1813C22—221no—
1814C22—221no—
1815C22—221no—
1816C22—221no—
1817C22—221no—
1818C22—221no—
1819C22—222no—
1820C22—221no—
1821C22—221no—
1822C22—441no—
1823C22—441no—
1824C22—441no—
1825C22—441no—
1826C22—441no—
1827C22—441no—
1828C22—441no—
1829C22—441no—
1830C22—882no—
1831C22—882no—
1832C22—884no—
1833C22—884no—
1834C22—884no—
1835C22C22×D4×D1111yescharacteristic
1836C4—21no—
1837C4—21no—
1838C4—21no—
1839C4—22no—
1840C4—21no—
1841C4—41no—
1842C4—41no—
1843C4—41no—
1844C4—41no—
1845C4—41no—
1846C4—112no—
1847C4—112no—
1848C4—221no—
1849C4—221no—
1850C4—221no—
1851C4—441no—
1852C4—441no—
1853C4—441no—
1854C4—441no—
1855C4—441no—
1856C4C2×#41×D1111yescharacteristic
1857C4D11×H(5,𝔽2)11yescharacteristic
1858C2—41no—
1859C2—41no—
1860C2—81no—
1861C2—81no—
1862C2—222no—
1863C2—441no—
1864C2—441no—
1865C2—442no—
1866C2—881no—
1867C2—881no—
1868C2D11×#54611yescharacteristic
1869C2D11×#57511yescharacteristic
1870C2#1308339411yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3321C2
socleC22×C11C23×D4
hypercenter#3321D11
hypocenterC11#61166
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3321

Complements

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

NH ≅ G/Ntype
1. D11×#555C2semidirect
2. #13082105C2semidirect
3. #13080906C2semidirect
4. #13080903C2semidirect
5. #13080856C2semidirect
6. #13080853C2semidirect
7. #13080807C2semidirect
8. #13080802C2semidirect
9. #13080799C2semidirect
10. #13080779C2semidirect
11. #13080774C2semidirect
12. #13080771C2semidirect
13. #13080766C2semidirect
14. #13080562C2semidirect
15. #13080559C2semidirect
16. #13080542C2semidirect
17. #13080539C2semidirect
18. #13079008C2semidirect
19. #13078548C2semidirect
20. #13078544C2semidirect
21. #13078426C2semidirect
22. #13078234C2semidirect
23. #13078228C2semidirect
24. #13078078C2semidirect
25. #13077867C2semidirect
26. #13077865C2semidirect
27. #13077421C2semidirect
28. #13077349C2semidirect
29. #13077134C2semidirect
30. #13077131C2semidirect
31. C11×#3321C2semidirect
34. C11×#555C22semidirect
35. C11×#548C22semidirect
36. #10623365C22semidirect
37. Q8×C22⋊D11C22semidirect
39. C2×#66967C22semidirect
40. C2×#66964C22semidirect
41. C2×M16×D11C22semidirect
42. C22×#4313C22semidirect
43. #10623265C22semidirect
44. D11×C4⋊Q8C22semidirect
46. #10623207C22semidirect
54. #10623162C22semidirect
59. #10623147C22semidirect
61. #10623140C22semidirect
65. D11×#121C22semidirect
66. D11×#121C22semidirect
67. #10623107C22semidirect
69. #10623094C22semidirect
70. #10623094C22semidirect
72. #10623081C22semidirect
75. C4×D4×D11C22semidirect
78. #10623063C22semidirect
80. D11×#117C22semidirect
81. D11×#117C22semidirect
82. C11×#489C22semidirect
83. C11×#485C22semidirect
84. C11×#482C22semidirect
85. C11×#475C22semidirect
86. C11×#469C22semidirect
87. C11×#465C22semidirect
88. C11×#463C22semidirect
89. C11×#449C22semidirect
90. C11×#448C22semidirect
91. C11×#440C22semidirect
92. C11×#435C22semidirect
93. C11×#419C22semidirect
94. C11×#416C22semidirect
95. #10622851C22semidirect
96. #10622846C22semidirect
97. #10622840C22semidirect
98. #10622838C22semidirect
99. #10622787C22semidirect
100. #10622785C22semidirect
101. #10622785C22semidirect
102. #10622783C22semidirect
103. #10622775C22semidirect
104. SD16×Dic11C22semidirect
105. #10622770C22semidirect
106. #10622769C22semidirect
107. #10622763C22semidirect
108. #10622747C22semidirect
109. #10622744C22semidirect
110. #10622741C22semidirect
111. #10622728C22semidirect
112. #10622726C22semidirect
113. C8×C22⋊D11C22semidirect
114. #10622702C22semidirect
115. #10622700C22semidirect
116. #10622670C22semidirect
117. #10622668C22semidirect
118. #10622661C22semidirect
119. #10622658C22semidirect
120. #10622655C22semidirect
121. #10622652C22semidirect
122. #10622651C22semidirect
123. #10622650C22semidirect
124. #10622649C22semidirect
125. #10622648C22semidirect
126. #10622639C22semidirect
127. #10622633C22semidirect
128. #10622629C22semidirect
129. #10622627C22semidirect
130. #10622624C22semidirect
131. #10622616C22semidirect
132. #10622615C22semidirect
133. #10622614C22semidirect
134. #10622609C22semidirect
135. #10622501C22semidirect
136. #10622498C22semidirect
137. #10622494C22semidirect
138. #10622485C22semidirect
139. #10622483C22semidirect
140. #10622483C22semidirect
141. #10622480C22semidirect
142. #10622479C22semidirect
143. #10622478C22semidirect
144. #10622477C22semidirect
145. #10622474C22semidirect
146. #10622474C22semidirect
147. #10622459C22semidirect
148. #10622457C22semidirect
149. #10622450C22semidirect
150. #10622449C22semidirect
151. #10622431C22semidirect
152. #10622428C22semidirect
153. #10622427C22semidirect
154. #10622425C22semidirect
155. #10622424C22semidirect
156. #10622424C22semidirect
157. #10622419C22semidirect
158. #10622417C22semidirect
159. #10622417C22semidirect
160. #10622417C22semidirect
161. #10622417C22semidirect
165. #10622416C22semidirect
166. #10622416C22semidirect
167. #10622416C22semidirect
168. #10622415C22semidirect
169. #10622415C22semidirect
170. #10622407C22semidirect
171. #10622407C22semidirect
172. #10622405C22semidirect
173. #10622405C22semidirect
174. #10622401C22semidirect
175. #10622399C22semidirect
176. #10622397C22semidirect
177. #10622395C22semidirect
178. #10622392C22semidirect
179. #10622391C22semidirect
180. #10622388C22semidirect
181. #10622386C22semidirect
182. #10622384C22semidirect
183. #10622384C22semidirect
184. #10622384C22semidirect
185. #10622383C22semidirect
186. #10622383C22semidirect
187. #10622383C22semidirect
188. #10622373C22semidirect
189. #10622373C22semidirect
190. #10622369C22semidirect
191. #10622350C22semidirect
192. #10622347C22semidirect
193. #10622345C22semidirect
194. #10622342C22semidirect
195. #10622339C22semidirect
196. #10622339C22semidirect
197. (C22⋊D11)⋊C8C22semidirect
198. #10622336C22semidirect
199. #10622327C22semidirect
200. #10622324C22semidirect
201. #10622320C22semidirect
202. #10622319C22semidirect
734. #3321D11semidirect
914. #555C2×D11semidirect
918. #548C2×D11semidirect
949. #489C2×D11semidirect
961. #485C2×D11semidirect
969. #482C2×D11semidirect
975. #475C2×D11semidirect
981. #469C2×D11semidirect
993. #465C2×D11semidirect
997. #463C2×D11semidirect
1009. #449C2×D11semidirect
1013. #448C2×D11semidirect
1021. #440C2×D11semidirect
1031. #435C2×D11semidirect
1041. #419C2×D11semidirect
1063. #416C2×D11semidirect
1659. C11#61166semidirect

Maximal subgroups

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

subgroupindex
D11×#5552
#130821052
#130809062
#130809032
#130808562
#130808532
#130808072
#130808022
#130807992
#130807792
#130807742
#130807712
#130807662
#130805622
#130805592
#130805422
#130805392
#130790082
#130785482
#130785442
#130784262
#130782342
#130782282
#130780782
#130778672
#130778652
#130774212
#130773492
#130771342
#130771312
C11×#33212
#6116611