Finite Group Databasebeta

← #15630561

Subgroups — #15630561

Order 2816.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082173C211yesmaximal, characteristic, complemented
2#13082105C211yesmaximal, characteristic, complemented
3#13080780C211yesmaximal, characteristic, complemented
4#13080766C211yesmaximal, characteristic, complemented
5#13080752C211yesmaximal, characteristic, complemented
6#13080738C211yesmaximal, characteristic, complemented
7#13080724C211yesmaximal, characteristic, complemented
8#13080710C211yesmaximal, characteristic, complemented
9#13080696C211yesmaximal, characteristic, complemented
10#13080682C211yesmaximal, characteristic, complemented
11#13080668C211yesmaximal, characteristic, complemented
12#13080654C211yesmaximal, characteristic, complemented
13#13080640C211yesmaximal, characteristic, complemented
14#13080626C211yesmaximal, characteristic, complemented
15#13080612C211yesmaximal, characteristic, complemented
16#13080598C211yesmaximal, characteristic, complemented
17#13080584C211yesmaximal, characteristic, complemented
18#13078958C211yesmaximal, characteristic, complemented
19#13078534C211yesmaximal, characteristic, complemented
20#13078528C211yesmaximal, characteristic, complemented
21#13078399C211yesmaximal, characteristic, complemented
22#13078223C211yesmaximal, characteristic, complemented
23#13078192C211yesmaximal, characteristic, complemented
24#13078068C211yesmaximal, characteristic, complemented
25#13077833C211yesmaximal, characteristic, complemented
26#13077831C211yesmaximal, characteristic, complemented
27#13077411C211yesmaximal, characteristic, complemented
28D11×#435C211yesmaximal, characteristic, complemented
29#13077134C211yesmaximal, characteristic, complemented
30D11×#416C211yesmaximal, characteristic, complemented
31C11×#3321C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C22×#4343C2211yescharacteristic
34C11×#555C2211yescharacteristic, complemented
35C11×#548C2211yescharacteristic
36#10623365C2211yescharacteristic
37Q8×C22⋊D11C2211yescharacteristic
38C2×#66969C2211yescharacteristic
39C2×#66969C2211yescharacteristic, complemented
40C2×#66965C2211yescharacteristic, complemented
41C2×M16×D11C2211yescharacteristic, complemented
42C22×C8×D11C2211yescharacteristic, complemented
43#10623261C2211yescharacteristic, complemented
44#10623259C2211yescharacteristic, complemented
45#10623211—21no—
46#10623211—21no—
47#10623210—21no—
48#10623210—21no—
49#10623207—21no—
50#10623207C2211yescharacteristic
51#10623199—21no—
52#10623199C2211yescharacteristic
53#10623162—21no—
54#10623162C2211yescharacteristic
55#10623158—21no—
56#10623158C2211yescharacteristic
57#10623145C2211yescharacteristic
58#10623145C2211yescharacteristic, complemented
59#10623143—21no—
60#10623140—21no—
61#10623140C2211yescharacteristic
62#10623137—21no—
63#10623137C2211yescharacteristic
64#10623137C2211yescharacteristic, complemented
65#10623137C2211yescharacteristic, complemented
66#10623131—21no—
67#10623107C2211yescharacteristic
68C4×#4343C2211yescharacteristic
69#10623082C2211yescharacteristic, complemented
70#10623081—21no—
71#10623081C2211yescharacteristic
72C4×D4×D11—21no—
73C4×D4×D11C2211yescharacteristic
74#10623073C2211yescharacteristic, complemented
75C4×#4341C2211yescharacteristic, complemented
76#10623060—21no—
77#10623060C2211yescharacteristic
78#10623060C2211yescharacteristic, complemented
79#10623053—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#10622852C2211yescharacteristic, complemented
96#10622846C2211yescharacteristic, complemented
97#10622841C2211yescharacteristic, complemented
98#10622838C2211yescharacteristic, complemented
99#10622785C2211yescharacteristic, complemented
100#10622785C2211yescharacteristic, complemented
101#10622784C2211yescharacteristic, complemented
102#10622783C2211yescharacteristic, complemented
103#10622777C2211yescharacteristic, complemented
104#10622775C2211yescharacteristic, complemented
105#10622772C2211yescharacteristic, complemented
106#10622769C2211yescharacteristic, complemented
107#10622763C2211yescharacteristic, complemented
108#10622750C2211yescharacteristic, complemented
109#10622744C2211yescharacteristic, complemented
110#10622740C2211yescharacteristic
111#10622727C2211yescharacteristic, complemented
112#10622726C2211yescharacteristic, complemented
113#10622724C2211yescharacteristic, complemented
114#10622702C2211yescharacteristic, complemented
115#10622700C2211yescharacteristic, complemented
116#10622668C2211yescharacteristic, complemented
117#10622667C2211yescharacteristic, complemented
118#10622664C2211yescharacteristic, complemented
119#10622658C2211yescharacteristic, complemented
120#10622655C2211yescharacteristic, complemented
121#10622655C2211yescharacteristic, complemented
122#10622651C2211yescharacteristic, complemented
123#10622650C2211yescharacteristic, complemented
124#10622649C2211yescharacteristic, complemented
125#10622648C2211yescharacteristic, complemented
126#10622643C2211yescharacteristic, complemented
127#10622634C2211yescharacteristic, complemented
128#10622629C2211yescharacteristic, complemented
129#10622627C2211yescharacteristic, complemented
130#10622624C2211yescharacteristic, complemented
131#10622616C2211yescharacteristic, complemented
132#10622615C2211yescharacteristic, complemented
133#10622614C2211yescharacteristic, complemented
134#10622609C2211yescharacteristic, complemented
135#10622502C2211yescharacteristic, complemented
136#10622497C2211yescharacteristic, complemented
137#10622495C2211yescharacteristic, complemented
138#10622493C2211yescharacteristic, complemented
139#10622484C2211yescharacteristic, complemented
140#10622484C2211yescharacteristic, complemented
141#10622481C2211yescharacteristic, complemented
142#10622477C2211yescharacteristic, complemented
143#10622476C2211yescharacteristic, complemented
144#10622475C2211yescharacteristic, complemented
145#10622473C2211yescharacteristic, complemented
146#10622473C2211yescharacteristic, complemented
147#10622458C2211yescharacteristic, complemented
148#10622455C2211yescharacteristic, complemented
149#10622449C2211yescharacteristic, complemented
150D11×C4⋊C8C2211yescharacteristic, complemented
151#10622426C2211yescharacteristic, complemented
152#10622423C2211yescharacteristic, complemented
153#10622423C2211yescharacteristic, complemented
154#10622422C2211yescharacteristic, complemented
155#10622421C2211yescharacteristic, complemented
156#10622418C2211yescharacteristic, complemented
157#10622417C2211yescharacteristic
158#10622417C2211yescharacteristic
159#10622417C2211yescharacteristic
160#10622417C2211yescharacteristic, complemented
161#10622417C2211yescharacteristic, complemented
162#10622417C2211yescharacteristic, complemented
163#10622416C2211yescharacteristic, complemented
164#10622416C2211yescharacteristic, complemented
165#10622416C2211yescharacteristic, complemented
166#10622416C2211yescharacteristic, complemented
167D11×#103C2211yescharacteristic, complemented
168D11×#103C2211yescharacteristic, complemented
169#10622412C2211yescharacteristic, complemented
170#10622412C2211yescharacteristic, complemented
171#10622410C2211yescharacteristic, complemented
172#10622410C2211yescharacteristic, complemented
173#10622406C2211yescharacteristic, complemented
174#10622402C2211yescharacteristic, complemented
175#10622398C2211yescharacteristic, complemented
176#10622393C2211yescharacteristic, complemented
177#10622393C2211yescharacteristic, complemented
178#10622390C2211yescharacteristic, complemented
179#10622389C2211yescharacteristic, complemented
180#10622388C2211yescharacteristic, complemented
181#10622387C2211yescharacteristic, complemented
182#10622385C2211yescharacteristic, complemented
183#10622385C2211yescharacteristic, complemented
184#10622385C2211yescharacteristic, complemented
185#10622385C2211yescharacteristic, complemented
186D11×#102C2211yescharacteristic, complemented
187D11×#102C2211yescharacteristic, complemented
188#10622377C2211yescharacteristic, complemented
189#10622377C2211yescharacteristic, complemented
190#10622375C2211yescharacteristic, complemented
191#10622350C2211yescharacteristic, complemented
192#10622346C2211yescharacteristic, complemented
193#10622344C2211yescharacteristic, complemented
194#10622343C2211yescharacteristic, complemented
195#10622341C2211yescharacteristic
196D11×C22⋊C8C2211yescharacteristic, complemented
197D11×C22⋊C8C2211yescharacteristic, complemented
198#10622336C2211yescharacteristic, complemented
199#10622327C2211yescharacteristic, complemented
200#10622323C2211yescharacteristic, complemented
201#10622319C2211yescharacteristic, complemented
202D11×#97C2211yescharacteristic, 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×D11C2311yescharacteristic
216C2×#4341—21no—
217C2×#4341C2311yescharacteristic
218C2×#4341C2311yescharacteristic
219C2×D4×D11—21no—
220C2×D4×D11—21no—
221C2×D4×D11D411yescharacteristic
222C2×D4×D11C2311yescharacteristic
223C2×#4339—21no—
224C2×#4339—21no—
225C2×#4339C2311yescharacteristic
226C22×D44—21no—
227C22×D44C2311yescharacteristic
228C22×C4×D11—21no—
229C22×C4×D11—21no—
230C22×C4×D11C2311yescharacteristic
231C22×C4×D11C2311yescharacteristic
232C2×C11×SD16C2311yescharacteristic
233C2×C11×SD16C2311yescharacteristic
234C2×C11×D8C2311yescharacteristic
235C2×C11×M16C2311yescharacteristic
236C22×C8×C11C2311yescharacteristic
237C11×C4⋊Q8C2311yescharacteristic
238C11×#124—21no—
239C11×#124—21no—
240C11×#124—21no—
241C11×#124C2311yescharacteristic
242C11×C22⋊Q8—21no—
243C11×C22⋊Q8C2311yescharacteristic
244C11×#121—21no—
245C11×#121—21no—
246C11×#121C2311yescharacteristic
247C11×#121C2311yescharacteristic
248C11×#121C2311yescharacteristic
249C4×Q8×C11C2311yescharacteristic
250C4×D4×C11—21no—
251C4×D4×C11C2311yescharacteristic
252C4×D4×C11C2311yescharacteristic
253C11×#117—21no—
254C11×#117C2311yescharacteristic
255C11×#117C2311yescharacteristic
256#66999—21no—
257#66999—21no—
258#66999—21no—
259#66999—21no—
260#66999C2311yescharacteristic
261Q8×Dic11—21no—
262Q8×Dic11C2311yescharacteristic
263#66997—21no—
264#66997C2311yescharacteristic
265C2×#4326C2311yescharacteristic
266C2×#4326C2311yescharacteristic
267#66993—21no—
268#66993C2311yescharacteristic
269#66991—21no—
270#66991—21no—
271#66991—21no—
272#66991C2311yescharacteristic
273#66991C2311yescharacteristic
274#66991C2311yescharacteristic
275#66990—21no—
276#66990—21no—
277#66990—21no—
278#66990—21no—
279#66990—21no—
280#66989—21no—
281#66988—21no—
282#66988—21no—
283D4×Dic11—21no—
284D4×Dic11—21no—
285D4×Dic11—21no—
286D4×Dic11D411yescharacteristic
287D4×Dic11C2311yescharacteristic
288C2×#4324C2311yescharacteristic
289C2×#4324C2311yescharacteristic
290C2×#4323C2311yescharacteristic
291C2×#4323C2311yescharacteristic
292#66983—21no—
293#66983C2311yescharacteristic
294C4×C22⋊D11—21no—
295C4×C22⋊D11—21no—
296C4×C22⋊D11—21no—
297C4×C22⋊D11C2311yescharacteristic
298C4×C22⋊D11C2311yescharacteristic
299#66979C2311yescharacteristic
300#66979C2311yescharacteristic
301#66977—21no—
302#66977—21no—
303#66977C2311yescharacteristic
304#66977C2311yescharacteristic
305#66977C2311yescharacteristic
306C2×C4×Dic11—21no—
307C2×#4318C2311yescharacteristic
308C22×C11⋊C8C2311yescharacteristic
309#66969—24no—
310#66969—42no—
311#66965—42no—
312M16×D11—42no—
313C2×Dic44C2311yescharacteristic
314C2×#4314C2311yescharacteristic
315C2×#4314C2311yescharacteristic
316C2×#4313C2311yescharacteristic
317C2×#4313C2311yescharacteristic
318C2×C8×D11—42no—
319C2×C8×D11C2311yescharacteristic
320C2×C8×D11C2311yescharacteristic
321C2×C8×D11C2311yescharacteristic
322C2×C8×D11C2311yescharacteristic
323C2×C8×D11C2311yescharacteristic
324C2×C8×D11C2311yescharacteristic
325#66950—21no—
326#66950—21no—
327#66950C2311yescharacteristic
328#66950C2311yescharacteristic
329#66950C2311yescharacteristic
330#66948—21no—
331#66948C2311yescharacteristic
332#66947—21no—
333#66947—21no—
334#66947—21no—
335#66946—21no—
336#66946—21no—
337#66946—21no—
338#66946D411yescharacteristic
339#66946C2311yescharacteristic
340#66945—21no—
341#66945C2311yescharacteristic
342#66945C2311yescharacteristic
343#66945C2311yescharacteristic
344#66945C2311yescharacteristic
345C4⋊C4×D11—21no—
346C4⋊C4×D11D411yescharacteristic
347C4⋊C4×D11C2311yescharacteristic
348C4⋊C4×D11C2311yescharacteristic
349C4⋊C4×D11C2311yescharacteristic
350C4⋊C4×D11C2311yescharacteristic
351#66943—21no—
352#66943C2311yescharacteristic
353#66943C2311yescharacteristic
354#66940—21no—
355#66940—21no—
356#66940C2311yescharacteristic
357#66937—21no—
358#66937—21no—
359#66937—21no—
360#66937—21no—
361#66937—21no—
362#66937—21no—
363#66936—21no—
364#66936—21no—
365#66936—21no—
366#66936—21no—
367#66936—21no—
368#66936—21no—
369#66936—21no—
370#66936—21no—
371#66936—21no—
372#66935—21no—
373#66935—21no—
374#66935—21no—
375(C22⋊D11)⋊C4—21no—
376(C22⋊D11)⋊C4—21no—
377(C22⋊D11)⋊C4—21no—
378(C22⋊D11)⋊C4—21no—
379(C22⋊D11)⋊C4—21no—
380(C22⋊D11)⋊C4—21no—
381(C22⋊D11)⋊C4—21no—
382(C22⋊D11)⋊C4—21no—
383(C22⋊D11)⋊C4—21no—
384(C22⋊D11)⋊C4D411yescharacteristic
385(C22⋊D11)⋊C4D411yescharacteristic
386C22⋊C4×D11—21no—
387C22⋊C4×D11—21no—
388C22⋊C4×D11—21no—
389C22⋊C4×D11—21no—
390C22⋊C4×D11D411yescharacteristic
391C22⋊C4×D11D411yescharacteristic
392#66932—21no—
393#66932—21no—
394#66932—21no—
395#66932—21no—
396#66932—21no—
397#66932—21no—
398#66930—21no—
399#66930—21no—
400#66930—21no—
401#66928—21no—
402#66928C2311yescharacteristic
403C4×D44—21no—
404C4×D44—21no—
405C4×D44C2311yescharacteristic
406C4×D44C2311yescharacteristic
407#66925—21no—
408#66925—21no—
409#66925—21no—
410#66925—21no—
411C42×D11—21no—
412C42×D11—21no—
413C42×D11—21no—
414C42×D11C2311yescharacteristic
415#66923—21no—
416#66923—21no—
417#66922C2311yescharacteristic
418C4×Dic22C2311yescharacteristic
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(C2×D11)⋊C8C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456(C2×D11)⋊C8C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458#66882C2311yescharacteristic
459#66881C2311yescharacteristic
460#66881C2311yescharacteristic
461#66880C2311yescharacteristic
462#66880C2311yescharacteristic
463#66880C2311yescharacteristic
464#66880C2311yescharacteristic
465#66879C2311yescharacteristic
466#66879C2311yescharacteristic
467Dic11⋊C8C2311yescharacteristic
468Dic11⋊C8C2311yescharacteristic
469#66874C2311yescharacteristic
470#66874C2311yescharacteristic
471#66874C2311yescharacteristic
472#66874C2311yescharacteristic
473#66873C2311yescharacteristic
474#66873C2311yescharacteristic
475#66873C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66872C2311yescharacteristic
480#66872C2311yescharacteristic
481#66871C2311yescharacteristic
482#66871C2311yescharacteristic
483#66871C2311yescharacteristic
484#66871C2311yescharacteristic
485C4⋊(C11⋊C8)C2311yescharacteristic
486#66867C2311yescharacteristic
487#61141—111nomaximal, Sylow
488C23×D11—21no—
489C23×D11—21no—
490C23×D11C2×D411yescharacteristic
491C23×D11C2×D411yescharacteristic
492C11×#41—22no—
493C11×#41—41no—
494C2×Q8×C11—21no—
495C2×Q8×C11—21no—
496C2×Q8×C11—22no—
497C2×Q8×C11—41no—
498C2×Q8×C11C2411yescharacteristic
499C2×Q8×C11C2411yescharacteristic
500C2×D4×C11—21no—
501C2×D4×C11—21no—
502C2×D4×C11—21no—
503C2×D4×C11—21no—
504C2×D4×C11C2×D411yescharacteristic
505C2×D4×C11C2411yescharacteristic
506C2×D4×C11C2411yescharacteristic
507C22×C4×C11—21no—
508C22×C4×C11—21no—
509C22×C4×C11—21no—
510C22×C4×C11C2411yescharacteristic
511C22×C4×C11C2411yescharacteristic
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⋊D11C2×D411yescharacteristic
523C2×C22⋊D11C2×D411yescharacteristic
524C22×Dic11—21no—
525C22×Dic11—21no—
526C22×Dic11—21no—
527C22×Dic11C2×D411yescharacteristic
528C22×Dic11C2×D411yescharacteristic
529#4343—22no—
530#4343—22no—
531#4343—22no—
532#4343—22no—
533#4343—22no—
534#4343—41no—
535#4343—41no—
536#4343—44no—
537#4343—44no—
538#4343#4114yescomplemented
539Q8×D11—22no—
540Q8×D11—41no—
541#4341—22no—
542#4341—22no—
543#4341—22no—
544#4341—22no—
545#4341—44no—
546D4×D11—22no—
547D4×D11—41no—
548D4×D11—42no—
549D4×D11—44no—
550D4×D11—44no—
551#4339—22no—
552#4339—41no—
553#4339—44no—
554#4339—44no—
555C2×D44—21no—
556C2×D44—21no—
557C2×D44—21no—
558C2×D44—21no—
559C2×D44—21no—
560C2×D44—22no—
561C2×D44—21no—
562C2×D44—41no—
563C2×D44—44no—
564C2×D44C2×D411yescharacteristic
565C2×D44C2411yescharacteristic
566C2×D44C2411yescharacteristic
567C2×C4×D11—21no—
568C2×C4×D11—22no—
569C2×C4×D11—22no—
570C2×C4×D11—22no—
571C2×C4×D11—22no—
572C2×C4×D11—21no—
573C2×C4×D11—21no—
574C2×C4×D11—21no—
575C2×C4×D11—21no—
576C2×C4×D11—21no—
577C2×C4×D11—21no—
578C2×C4×D11—21no—
579C2×C4×D11—21no—
580C2×C4×D11—21no—
581C2×C4×D11—21no—
582C2×C4×D11—21no—
583C2×C4×D11—44no—
584C2×C4×D11—44no—
585C2×C4×D11C2×D411yescharacteristic
586C2×C4×D11C2×D411yescharacteristic
587C2×C4×D11C2×D411yescharacteristic
588C2×C4×D11C2×D411yescharacteristic
589C2×C4×D11C2×D411yescharacteristic
590C2×C4×D11C2×D411yescharacteristic
591C2×C4×D11C2411yescharacteristic
592C2×C4×D11C2411yescharacteristic
593C2×C4×D11C2411yescharacteristic
594C2×Dic22—21no—
595C2×Dic22—21no—
596C2×Dic22C2411yescharacteristic
597C2×Dic22C2411yescharacteristic
598C11×SD16—22no—
599C11×SD16—41no—
600C11×D8—41no—
601C11×M16—41no—
602C2×C8×C11—41no—
603C2×C8×C11C2411yescharacteristic
604C2×C8×C11C2411yescharacteristic
605C2×C8×C11C2411yescharacteristic
606C2×C8×C11C2411yescharacteristic
607C11×C4⋊C4—21no—
608C11×C4⋊C4—21no—
609C11×C4⋊C4—21no—
610C11×C4⋊C4C2×D411yescharacteristic
611C11×C4⋊C4C2411yescharacteristic
612C11×C4⋊C4C2411yescharacteristic
613C11×C4⋊C4C2411yescharacteristic
614C11×C4⋊C4C2411yescharacteristic
615C11×C22⋊C4—21no—
616C11×C22⋊C4—21no—
617C11×C22⋊C4—21no—
618C11×C22⋊C4—21no—
619C11×C22⋊C4—21no—
620C11×C22⋊C4—21no—
621C11×C22⋊C4—21no—
622C11×C22⋊C4—21no—
623C11×C22⋊C4—21no—
624C11×C22⋊C4C2×D411yescharacteristic
625C11×C22⋊C4C2×D411yescharacteristic
626C42×C11—21no—
627C42×C11—21no—
628C42×C11—21no—
629C42×C11C2411yescharacteristic
630C22⋊Dic11—21no—
631C22⋊Dic11—21no—
632C22⋊Dic11—21no—
633C22⋊Dic11—21no—
634C22⋊Dic11—21no—
635C22⋊Dic11—21no—
636C22⋊Dic11—21no—
637C22⋊Dic11—21no—
638C22⋊Dic11—21no—
639C22⋊Dic11C2×D411yescharacteristic
640C22⋊Dic11C2×D411yescharacteristic
641#4326—22no—
642#4326—41no—
643#4324—41no—
644#4324—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)⋊C4C2×D411yescharacteristic
662(C2×D11)⋊C4C2×D411yescharacteristic
663(C2×D11)⋊C4C2×D411yescharacteristic
664(C2×D11)⋊C4C2×D411yescharacteristic
665C4⋊Dic11—21no—
666C4⋊Dic11—21no—
667C4⋊Dic11—21no—
668C4⋊Dic11—21no—
669C4⋊Dic11—21no—
670C4⋊Dic11—21no—
671C4⋊Dic11—21no—
672C4⋊Dic11C2×D411yescharacteristic
673C4⋊Dic11C2411yescharacteristic
674C4⋊Dic11C2411yescharacteristic
675C4⋊Dic11C2411yescharacteristic
676C4⋊Dic11C2411yescharacteristic
677Dic11⋊C4—21no—
678Dic11⋊C4—21no—
679Dic11⋊C4—21no—
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⋊C4C2×D411yescharacteristic
692Dic11⋊C4C2×D411yescharacteristic
693C4×Dic11—21no—
694C4×Dic11—21no—
695C4×Dic11—21no—
696C4×Dic11—21no—
697C4×Dic11—21no—
698C4×Dic11—21no—
699C4×Dic11—21no—
700C4×Dic11—21no—
701C4×Dic11—21no—
702C4×Dic11C2×D411yescharacteristic
703C4×Dic11C2×D411yescharacteristic
704C4×Dic11C2411yescharacteristic
705#4318—41no—
706C2×C11⋊C8—41no—
707C2×C11⋊C8C2411yescharacteristic
708C2×C11⋊C8C2411yescharacteristic
709C2×C11⋊C8C2411yescharacteristic
710C2×C11⋊C8C2411yescharacteristic
711Dic44—41no—
712#4314—22no—
713#4314—41no—
714#4313—41no—
715#4313—41no—
716C8×D11—22no—
717C8×D11—22no—
718C8×D11—22no—
719C8×D11—22no—
720C8×D11—41no—
721C8×D11—41no—
722#3475—111no—
723D4×#41—111no—
724#3321D1111yescharacteristic, complemented
725#3320—111no—
726#3319—111no—
727#3318—111no—
728#3317—111no—
729#3316—111no—
730#3315—111no—
731#3314—111no—
732#3313—111no—
733#3312—111no—
734#3311—111no—
735#3310—111no—
736#3309—111no—
737#3308—111no—
738#3307—111no—
739#3306—111no—
740#3135—111no—
741#3091—111no—
742#3091—111no—
743#3076—111no—
744#3054—111no—
745#3050—111no—
746#3035—111no—
747#3002—111no—
748#3002—111no—
749#2943—111no—
750C2×#435—111no—
751#2896—111no—
752C2×#416—111no—
753C23×C11—21no—
754C23×C11—21no—
755C23×C11C22×D411yescharacteristic
756C23×C11C22×D411yescharacteristic
757C22×D11—21no—
758C22×D11—22no—
759C22×D11—22no—
760C22×D11—22no—
761C22×D11—21no—
762C22×D11—41no—
763C22×D11—41no—
764C22×D11—41no—
765C22×D11—42no—
766C22×D11—42no—
767C22×D11—42no—
768C22×D11—42no—
769C22×D11—81no—
770C22×D11—81no—
771C22×D11C22×D411yescharacteristic
772C22×D11C22×D411yescharacteristic
773C22×D11C22×D411yescharacteristic
774Q8×C11—21no—
775Q8×C11—21no—
776Q8×C11—21no—
777Q8×C11—42no—
778Q8×C11—81no—
779Q8×C11C2×#4112yes—
780D4×C11—21no—
781D4×C11—21no—
782D4×C11—21no—
783D4×C11—21no—
784D4×C11—41no—
785D4×C11—42no—
786D4×C11—42no—
787D4×C11—81no—
788D4×C11—81no—
789C2×C4×C11—21no—
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—42no—
800C2×C4×C11—42no—
801C2×C4×C11—42no—
802C2×C4×C11C22×D411yescharacteristic
803C2×C4×C11C22×D411yescharacteristic
804C2×C4×C11C22×D411yescharacteristic
805C2×C4×C11C22×D411yescharacteristic
806C2×C4×C11C2511yescharacteristic
807C22⋊D11—22no—
808C22⋊D11—41no—
809C22⋊D11—42no—
810C22⋊D11—42no—
811C22⋊D11—42no—
812C22⋊D11—42no—
813C22⋊D11—42no—
814C22⋊D11—42no—
815C22⋊D11—42no—
816C22⋊D11—81no—
817C22⋊D11—81no—
818C22⋊D11—81no—
819C2×Dic11—22no—
820C2×Dic11—22no—
821C2×Dic11—21no—
822C2×Dic11—21no—
823C2×Dic11—21no—
824C2×Dic11—21no—
825C2×Dic11—21no—
826C2×Dic11—21no—
827C2×Dic11—42no—
828C2×Dic11—42no—
829C2×Dic11—81no—
830C2×Dic11C22×D411yescharacteristic
831C2×Dic11C22×D411yescharacteristic
832C2×Dic11C22×D411yescharacteristic
833C2×Dic11C22×D411yescharacteristic
834C2×Dic11C22×D411yescharacteristic
835D44—24no—
836D44—22no—
837D44—21no—
838D44—21no—
839D44—21no—
840D44—42no—
841D44—42no—
842D44—42no—
843D44—42no—
844D44—42no—
845D44C2×#4112yes—
846C4×D11—22no—
847C4×D11—22no—
848C4×D11—21no—
849C4×D11—21no—
850C4×D11—21no—
851C4×D11—21no—
852C4×D11—22no—
853C4×D11—22no—
854C4×D11—24no—
855C4×D11—41no—
856C4×D11—41no—
857C4×D11—42no—
858C4×D11—42no—
859C4×D11—42no—
860C4×D11—42no—
861C4×D11—42no—
862C4×D11—42no—
863C4×D11—42no—
864C4×D11—42no—
865C4×D11—81no—
866C4×D11—81no—
867C4×D11—81no—
868C4×D11C2×#4112yes—
869C4×D11H(5,𝔽2)12yes—
870Dic22—21no—
871Dic22—21no—
872Dic22—21no—
873Dic22—21no—
874Dic22—42no—
875Dic22—42no—
876C8×C11—21no—
877C8×C11—21no—
878C8×C11—21no—
879C8×C11—21no—
880C11⋊C8—21no—
881C11⋊C8—21no—
882C11⋊C8—21no—
883C11⋊C8—21no—
884C22×#41—111no—
885C22×#41—111no—
886C2×#135—111no—
887C2×#135—111no—
888C2×#135—111no—
889C22×M16—111no—
890C23×C8—111no—
891#556—111no—
892#555C2×D1111yescharacteristic, complemented
893#554—111no—
894#553—111no—
895#553—111no—
896#552—111no—
897#552—111no—
898#552—221no—
899#551—221no—
900#551—221no—
901#550—111no—
902D4×Q8—111no—
903#548—111no—
904#548C2×D1111yescharacteristic
905#547—111no—
906#547—111no—
907#547—221no—
908#546—111no—
909#546—111no—
910#546—221no—
911#546—221no—
912#546—221no—
913D42—111no—
914D42—221no—
915#533—111no—
916#532—111no—
917#532—221no—
918#529—221no—
919#529—221no—
920#529—221no—
921#525—111no—
922#525—111no—
923#525—111no—
924#525—111no—
925#525—221no—
926#525—221no—
927C4×#41—111no—
928C4×#41—111no—
929C4×#41—221no—
930C2×C4×D4—111no—
931C2×C4×D4—221no—
932C2×#117—111no—
933C2×#117—111no—
934#491—111no—
935#491—111no—
936#490—111no—
937#490—111no—
938#489—111no—
939#489—111no—
940#489—111no—
941#489C2×D1111yescharacteristic, complemented
942#485—111no—
943#485—111no—
944#485—111no—
945#485C2×D1111yescharacteristic, complemented
946#484—111no—
947#484—111no—
948#483—111no—
949#483—111no—
950#482—111no—
951#482—111no—
952#482—111no—
953#482C2×D1111yescharacteristic, complemented
954#481—111no—
955#481—111no—
956#480—111no—
957#480—111no—
958#479—111no—
959#479—111no—
960#478—111no—
961#478—111no—
962#477—111no—
963#476—111no—
964#475C2×D1111yescharacteristic, complemented
965#474—111no—
966#470—111no—
967#470—111no—
968#469—111no—
969#469C2×D1111yescharacteristic, complemented
970#468—111no—
971#468—111no—
972#468—111no—
973#468—111no—
974#467—111no—
975#467—111no—
976#466—111no—
977#466—111no—
978#465—111no—
979#465—111no—
980#465—111no—
981#465C2×D1111yescharacteristic, complemented
982#464—111no—
983#464—111no—
984#463—111no—
985#463C2×D1111yescharacteristic, complemented
986#462—111no—
987#461—111no—
988#460—111no—
989#459—111no—
990#452—111no—
991#452—111no—
992#452—111no—
993#452—111no—
994#451—111no—
995#451—111no—
996#450—111no—
997#450—111no—
998#449—111no—
999#449—111no—
1000#449—111no—
1001#449C2×D1111yescharacteristic, complemented
1002#448—111no—
1003#448C2×D1111yescharacteristic, complemented
1004#447—111no—
1005#447—111no—
1006#442—111no—
1007#442—111no—
1008#441—111no—
1009#441—111no—
1010#440—111no—
1011#440—111no—
1012#440—111no—
1013#440C2×D1111yescharacteristic, complemented
1014#435—111no—
1015#435—111no—
1016#435—111no—
1017#435—111no—
1018#435—111no—
1019#435—111no—
1020#435—111no—
1021#435C2×D1111yescharacteristic, complemented
1022#427—111no—
1023#427—111no—
1024#427—111no—
1025C2×C4⋊C8—111no—
1026#419—111no—
1027#419C2×D1111yescharacteristic, complemented
1028#418—111no—
1029#418—111no—
1030#417—111no—
1031#417—111no—
1032#417—111no—
1033#417—111no—
1034#416—111no—
1035#416—111no—
1036#416—111no—
1037#416—111no—
1038#416—111no—
1039#416—111no—
1040#416—111no—
1041#416—111no—
1042#416—111no—
1043#416—111no—
1044#416—111no—
1045#416—111no—
1046#416—111no—
1047#416C2×D1111yescharacteristic, complemented
1048C2×#103—111no—
1049C2×#103—111no—
1050C2×#102—111no—
1051C2×#102—111no—
1052C2×C22⋊C8—111no—
1053C2×C22⋊C8—111no—
1054C2×#97—111no—
1055C22×C11—21no—
1056C22×C11—21no—
1057C22×C11—21no—
1058C22×C11—21no—
1059C22×C11—21no—
1060C22×C11—21no—
1061C22×C11—41no—
1062C22×C11—41no—
1063C22×C11—41no—
1064C22×C11—41no—
1065C22×C11—41no—
1066C22×C11—41no—
1067C22×C11C23×D411yescharacteristic
1068C2×D11—21no—
1069C2×D11—21no—
1070C2×D11—21no—
1071C2×D11—21no—
1072C2×D11—21no—
1073C2×D11—21no—
1074C2×D11—22no—
1075C2×D11—21no—
1076C2×D11—44no—
1077C2×D11—41no—
1078C2×D11—41no—
1079C2×D11—41no—
1080C2×D11—41no—
1081C2×D11—41no—
1082C2×D11—82no—
1083C2×D11—84no—
1084C2×D11—84no—
1085C2×D11#54612yes—
1086C2×D11#57512yes—
1087C4×C11—21no—
1088C4×C11—21no—
1089C4×C11—21no—
1090C4×C11—22no—
1091C4×C11—21no—
1092C4×C11—41no—
1093C4×C11—41no—
1094C4×C11—41no—
1095C4×C11—41no—
1096C4×C11—41no—
1097C4×C11C22×#4111yescharacteristic
1098C4×C11C2×H(5,𝔽2)11yescharacteristic
1099Dic11—21no—
1100Dic11—21no—
1101Dic11—21no—
1102Dic11—21no—
1103Dic11—41no—
1104Dic11—41no—
1105Dic11—41no—
1106Dic11—41no—
1107Dic11—41no—
1108Dic11—41no—
1109Dic11#54612yes—
1110C2×#41—111no—
1111C2×#41—111no—
1112C2×#41—111no—
1113C2×#41—111no—
1114C2×#41—111no—
1115C2×#41—111no—
1116C2×#41—111no—
1117C2×#41—221no—
1118C2×#41—221no—
1119C2×#41—221no—
1120C2×#41—221no—
1121C2×#41—221no—
1122C2×#41—224no—
1123C2×#41—224no—
1124C2×#41—442no—
1125C2×#41—442no—
1126C2×#41C22×D1111yescharacteristic
1127C22×Q8—111no—
1128C22×Q8C22×D1111yescharacteristic
1129C22×D4—111no—
1130C22×D4—111no—
1131C22×D4—111no—
1132C22×D4—221no—
1133C22×D4—221no—
1134C22×D4—221no—
1135C23×C4—111no—
1136C23×C4—111no—
1137C23×C4—221no—
1138C23×C4—221no—
1139#135—224no—
1140#135—442no—
1141#135—442no—
1142C2×Q16—111no—
1143C2×Q16—111no—
1144C2×Q16—111no—
1145C2×SD16—111no—
1146C2×SD16—111no—
1147C2×SD16—111no—
1148C2×SD16—111no—
1149C2×SD16C22×D1111yescharacteristic
1150C2×SD16C22×D1111yescharacteristic
1151C2×D8—111no—
1152C2×D8—111no—
1153C2×D8C22×D1111yescharacteristic
1154C2×M16—111no—
1155C2×M16—111no—
1156C2×M16—111no—
1157C2×M16—442no—
1158C2×M16C22×D1111yescharacteristic
1159C22×C8—111no—
1160C22×C8—111no—
1161C22×C8—111no—
1162C22×C8—111no—
1163C22×C8—111no—
1164C22×C8—111no—
1165C22×C8—111no—
1166C22×C8—442no—
1167C22×C8C22×D1111yescharacteristic
1168C4⋊Q8—111no—
1169C4⋊Q8—111no—
1170C4⋊Q8—221no—
1171C4⋊Q8C22×D1111yescharacteristic
1172#127—111no—
1173#127—221no—
1174#126—221no—
1175#126—221no—
1176#126—221no—
1177#126—221no—
1178#126—221no—
1179#126—221no—
1180#125—111no—
1181#125—111no—
1182#125—221no—
1183#125—221no—
1184#125—221no—
1185#124—21no—
1186#124—21no—
1187#124—21no—
1188#124—111no—
1189#124—221no—
1190#124—221no—
1191#124C22×D1111yescharacteristic
1192#123—221no—
1193#123—221no—
1194#123—221no—
1195#123—221no—
1196#123—221no—
1197#123—221no—
1198#123—221no—
1199#123—221no—
1200#123—221no—
1201#123—221no—
1202#123—221no—
1203#123—221no—
1204#123—221no—
1205#123—221no—
1206C22⋊Q8—21no—
1207C22⋊Q8—111no—
1208C22⋊Q8—111no—
1209C22⋊Q8—111no—
1210C22⋊Q8—111no—
1211C22⋊Q8—111no—
1212C22⋊Q8—111no—
1213C22⋊Q8—111no—
1214C22⋊Q8—221no—
1215C22⋊Q8—221no—
1216C22⋊Q8—221no—
1217C22⋊Q8—221no—
1218C22⋊Q8—221no—
1219C22⋊Q8—221no—
1220C22⋊Q8—221no—
1221C22⋊Q8—221no—
1222C22⋊Q8C22×D1111yescharacteristic
1223#121—21no—
1224#121—21no—
1225#121—111no—
1226#121—111no—
1227#121—111no—
1228#121—111no—
1229#121—111no—
1230#121—221no—
1231#121—221no—
1232#121—221no—
1233#121—221no—
1234#121—221no—
1235#121—221no—
1236#121—221no—
1237#121—221no—
1238#121—221no—
1239#121—221no—
1240#121—221no—
1241#121C22×D1111yescharacteristic
1242#121C22×D1111yescharacteristic
1243#121C22×D1111yescharacteristic
1244#120—221no—
1245#120—221no—
1246#120—221no—
1247#120—221no—
1248#120—221no—
1249#120—221no—
1250#120—221no—
1251#120—221no—
1252C4×Q8—111no—
1253C4×Q8—111no—
1254C4×Q8—111no—
1255C4×Q8—221no—
1256C4×Q8—221no—
1257C4×Q8—221no—
1258C4×Q8C22×D1111yescharacteristic
1259C4×D4—21no—
1260C4×D4—111no—
1261C4×D4—111no—
1262C4×D4—111no—
1263C4×D4—111no—
1264C4×D4—111no—
1265C4×D4—111no—
1266C4×D4—111no—
1267C4×D4—111no—
1268C4×D4—111no—
1269C4×D4—111no—
1270C4×D4—221no—
1271C4×D4—221no—
1272C4×D4—221no—
1273C4×D4—221no—
1274C4×D4—221no—
1275C4×D4—221no—
1276C4×D4—221no—
1277C4×D4—221no—
1278C4×D4—221no—
1279C4×D4—221no—
1280C4×D4—221no—
1281C4×D4—221no—
1282C4×D4—221no—
1283C4×D4—221no—
1284C4×D4—221no—
1285C4×D4—221no—
1286C4×D4—221no—
1287C4×D4—221no—
1288C4×D4—221no—
1289C4×D4—221no—
1290C4×D4C22×D1111yescharacteristic
1291C4×D4C22×D1111yescharacteristic
1292#117—21no—
1293#117—111no—
1294#117—111no—
1295#117—111no—
1296#117—111no—
1297#117—111no—
1298#117—111no—
1299#117—221no—
1300#117—221no—
1301#117—221no—
1302#117—221no—
1303#117—221no—
1304#117—221no—
1305#117—221no—
1306#117—221no—
1307#117C22×D1111yescharacteristic
1308#117C22×D1111yescharacteristic
1309C2×C4⋊C4—111no—
1310C2×C4⋊C4—111no—
1311C2×C4⋊C4—111no—
1312C2×C4⋊C4—111no—
1313C2×C4⋊C4—111no—
1314C2×C4⋊C4—221no—
1315C2×C22⋊C4—111no—
1316C2×C22⋊C4—111no—
1317C2×C22⋊C4—221no—
1318C2×C22⋊C4—221no—
1319C2×C22⋊C4—221no—
1320C2×C22⋊C4—221no—
1321C2×C42—111no—
1322C2×C42—221no—
1323C2×C42—221no—
1324C2×C42—221no—
1325C2×C42—221no—
1326#107—111no—
1327#107—111no—
1328#107—111no—
1329#107—111no—
1330#107—111no—
1331#107C22×D1111yescharacteristic
1332#106—111no—
1333#106—111no—
1334#106—111no—
1335#106—111no—
1336#106C22×D1111yescharacteristic
1337#106C22×D1111yescharacteristic
1338C4⋊C8—111no—
1339C4⋊C8—111no—
1340C4⋊C8—111no—
1341C4⋊C8C22×D1111yescharacteristic
1342#103—111no—
1343#103—111no—
1344#103—111no—
1345#103—111no—
1346#103—111no—
1347#103—111no—
1348#103—111no—
1349#103—111no—
1350#103—111no—
1351#103—111no—
1352#103—111no—
1353#103—111no—
1354#103—111no—
1355#103—111no—
1356#103C22×D1111yescharacteristic
1357#103C22×D1111yescharacteristic
1358#103C22×D1111yescharacteristic
1359#103C22×D1111yescharacteristic
1360#103C22×D1111yescharacteristic
1361#103C22×D1111yescharacteristic
1362#102—111no—
1363#102—111no—
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#102C22×D1111yescharacteristic
1379#102C22×D1111yescharacteristic
1380#102C22×D1111yescharacteristic
1381#102C22×D1111yescharacteristic
1382C22⋊C8—111no—
1383C22⋊C8—111no—
1384C22⋊C8—111no—
1385C22⋊C8—111no—
1386C22⋊C8—111no—
1387C22⋊C8—111no—
1388C22⋊C8C22×D1111yescharacteristic
1389C22⋊C8C22×D1111yescharacteristic
1390#97—111no—
1391#97—111no—
1392#97—111no—
1393#97C22×D1111yescharacteristic
1394C2×C11—41no—
1395C2×C11—41no—
1396C2×C11—81no—
1397C2×C11—81no—
1398C2×C11C2×#54611yescharacteristic
1399C2×C11C2×#57511yescharacteristic
1400C2×C11#358411yescharacteristic
1401D11—22no—
1402D11—22no—
1403D11—41no—
1404D11—42no—
1405D11—81no—
1406C24—111no—
1407C24—111no—
1408C24—221no—
1409C24—221no—
1410#41—22no—
1411#41—41no—
1412#41—114no—
1413#41—222no—
1414#41—222no—
1415#41—222no—
1416#41—222no—
1417#41—222no—
1418#41—222no—
1419#41—222no—
1420#41—222no—
1421#41—222no—
1422#41—222no—
1423#41—441no—
1424#41—444no—
1425#41—444no—
1426#41—444no—
1427#41—444no—
1428#41—441no—
1429#41—441no—
1430#41—444no—
1431C2×Q8—21no—
1432C2×Q8—21no—
1433C2×Q8—22no—
1434C2×Q8—41no—
1435C2×Q8—111no—
1436C2×Q8—111no—
1437C2×Q8—221no—
1438C2×Q8—221no—
1439C2×Q8—222no—
1440C2×Q8—441no—
1441C2×Q8C23×D1111yescharacteristic
1442C2×Q8C23×D1111yescharacteristic
1443C2×D4—21no—
1444C2×D4—21no—
1445C2×D4—21no—
1446C2×D4—21no—
1447C2×D4—111no—
1448C2×D4—111no—
1449C2×D4—111no—
1450C2×D4—111no—
1451C2×D4—111no—
1452C2×D4—222no—
1453C2×D4—221no—
1454C2×D4—221no—
1455C2×D4—221no—
1456C2×D4—221no—
1457C2×D4—221no—
1458C2×D4—221no—
1459C2×D4—221no—
1460C2×D4—221no—
1461C2×D4—222no—
1462C2×D4—221no—
1463C2×D4—221no—
1464C2×D4—221no—
1465C2×D4—221no—
1466C2×D4—221no—
1467C2×D4—221no—
1468C2×D4—221no—
1469C2×D4—221no—
1470C2×D4—441no—
1471C2×D4—444no—
1472C2×D4—441no—
1473C2×D4—442no—
1474C2×D4—444no—
1475C2×D4—444no—
1476C2×D4D4×D1111yescharacteristic
1477C2×D4C23×D1111yescharacteristic
1478C2×D4C23×D1111yescharacteristic
1479C22×C4—21no—
1480C22×C4—21no—
1481C22×C4—21no—
1482C22×C4—111no—
1483C22×C4—111no—
1484C22×C4—111no—
1485C22×C4—111no—
1486C22×C4—111no—
1487C22×C4—111no—
1488C22×C4—111no—
1489C22×C4—111no—
1490C22×C4—111no—
1491C22×C4—111no—
1492C22×C4—111no—
1493C22×C4—221no—
1494C22×C4—222no—
1495C22×C4—222no—
1496C22×C4—222no—
1497C22×C4—222no—
1498C22×C4—221no—
1499C22×C4—221no—
1500C22×C4—221no—
1501C22×C4—221no—
1502C22×C4—221no—
1503C22×C4—221no—
1504C22×C4—221no—
1505C22×C4—221no—
1506C22×C4—221no—
1507C22×C4—221no—
1508C22×C4—221no—
1509C22×C4—221no—
1510C22×C4—221no—
1511C22×C4—221no—
1512C22×C4—444no—
1513C22×C4—444no—
1514C22×C4C23×D1111yescharacteristic
1515C22×C4C23×D1111yescharacteristic
1516Q16—222no—
1517Q16—441no—
1518Q16—441no—
1519SD16—22no—
1520SD16—41no—
1521SD16—222no—
1522SD16—441no—
1523SD16—441no—
1524SD16—441no—
1525D8—41no—
1526D8—222no—
1527D8—441no—
1528M16—41no—
1529M16—441no—
1530M16—441no—
1531M16—441no—
1532C2×C8—41no—
1533C2×C8—111no—
1534C2×C8—111no—
1535C2×C8—111no—
1536C2×C8—111no—
1537C2×C8—222no—
1538C2×C8—222no—
1539C2×C8—222no—
1540C2×C8—222no—
1541C2×C8—441no—
1542C2×C8—441no—
1543C2×C8—441no—
1544C2×C8C23×D1111yescharacteristic
1545C2×C8C23×D1111yescharacteristic
1546C2×C8C23×D1111yescharacteristic
1547C2×C8C23×D1111yescharacteristic
1548C4⋊C4—21no—
1549C4⋊C4—21no—
1550C4⋊C4—21no—
1551C4⋊C4—111no—
1552C4⋊C4—111no—
1553C4⋊C4—111no—
1554C4⋊C4—111no—
1555C4⋊C4—111no—
1556C4⋊C4—111no—
1557C4⋊C4—111no—
1558C4⋊C4—221no—
1559C4⋊C4—221no—
1560C4⋊C4—221no—
1561C4⋊C4—221no—
1562C4⋊C4—221no—
1563C4⋊C4—221no—
1564C4⋊C4—221no—
1565C4⋊C4—221no—
1566C4⋊C4—221no—
1567C4⋊C4—221no—
1568C4⋊C4—221no—
1569C4⋊C4—221no—
1570C4⋊C4—221no—
1571C4⋊C4—221no—
1572C4⋊C4—221no—
1573C4⋊C4—221no—
1574C4⋊C4—221no—
1575C4⋊C4—221no—
1576C4⋊C4—221no—
1577C4⋊C4—221no—
1578C4⋊C4—221no—
1579C4⋊C4D4×D1111yescharacteristic
1580C4⋊C4C23×D1111yescharacteristic
1581C4⋊C4C23×D1111yescharacteristic
1582C4⋊C4C23×D1111yescharacteristic
1583C4⋊C4C23×D1111yescharacteristic
1584C22⋊C4—21no—
1585C22⋊C4—21no—
1586C22⋊C4—21no—
1587C22⋊C4—21no—
1588C22⋊C4—21no—
1589C22⋊C4—21no—
1590C22⋊C4—21no—
1591C22⋊C4—21no—
1592C22⋊C4—21no—
1593C22⋊C4—111no—
1594C22⋊C4—111no—
1595C22⋊C4—111no—
1596C22⋊C4—111no—
1597C22⋊C4—111no—
1598C22⋊C4—111no—
1599C22⋊C4—221no—
1600C22⋊C4—221no—
1601C22⋊C4—221no—
1602C22⋊C4—221no—
1603C22⋊C4—221no—
1604C22⋊C4—221no—
1605C22⋊C4—221no—
1606C22⋊C4—221no—
1607C22⋊C4—221no—
1608C22⋊C4—221no—
1609C22⋊C4—221no—
1610C22⋊C4—221no—
1611C22⋊C4—221no—
1612C22⋊C4—221no—
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⋊C4D4×D1111yescharacteristic
1623C22⋊C4D4×D1111yescharacteristic
1624C42—21no—
1625C42—21no—
1626C42—21no—
1627C42—111no—
1628C42—111no—
1629C42—111no—
1630C42—221no—
1631C42—221no—
1632C42—221no—
1633C42—221no—
1634C42—221no—
1635C42—221no—
1636C42—221no—
1637C42—221no—
1638C42—221no—
1639C42C23×D1111yescharacteristic
1640C11#6114111yescharacteristic, complemented, Sylow
1641C23—21no—
1642C23—21no—
1643C23—111no—
1644C23—111no—
1645C23—111no—
1646C23—222no—
1647C23—222no—
1648C23—222no—
1649C23—221no—
1650C23—221no—
1651C23—441no—
1652C23—441no—
1653C23—441no—
1654C23—442no—
1655C23—442no—
1656C23—442no—
1657C23—442no—
1658C23—881no—
1659C23—881no—
1660C23C2×D4×D1111yescharacteristic
1661C23C2×D4×D1111yescharacteristic
1662Q8—21no—
1663Q8—21no—
1664Q8—21no—
1665Q8—42no—
1666Q8—81no—
1667Q8—221no—
1668Q8—221no—
1669Q8—221no—
1670Q8—221no—
1671Q8—442no—
1672Q8—442no—
1673Q8#41×D1112yes—
1674D4—21no—
1675D4—21no—
1676D4—21no—
1677D4—21no—
1678D4—41no—
1679D4—42no—
1680D4—42no—
1681D4—81no—
1682D4—81no—
1683D4—112no—
1684D4—222no—
1685D4—224no—
1686D4—222no—
1687D4—221no—
1688D4—221no—
1689D4—221no—
1690D4—442no—
1691D4—442no—
1692D4—442no—
1693D4—442no—
1694D4—442no—
1695D4—441no—
1696D4—442no—
1697D4—442no—
1698D4—442no—
1699D4—442no—
1700D4—442no—
1701D4—442no—
1702D4—442no—
1703D4—881no—
1704D4—881no—
1705D4—881no—
1706C2×C4—21no—
1707C2×C4—21no—
1708C2×C4—21no—
1709C2×C4—21no—
1710C2×C4—21no—
1711C2×C4—21no—
1712C2×C4—21no—
1713C2×C4—21no—
1714C2×C4—21no—
1715C2×C4—21no—
1716C2×C4—42no—
1717C2×C4—42no—
1718C2×C4—42no—
1719C2×C4—111no—
1720C2×C4—112no—
1721C2×C4—112no—
1722C2×C4—111no—
1723C2×C4—111no—
1724C2×C4—111no—
1725C2×C4—111no—
1726C2×C4—222no—
1727C2×C4—222no—
1728C2×C4—224no—
1729C2×C4—222no—
1730C2×C4—222no—
1731C2×C4—222no—
1732C2×C4—222no—
1733C2×C4—221no—
1734C2×C4—221no—
1735C2×C4—221no—
1736C2×C4—221no—
1737C2×C4—221no—
1738C2×C4—221no—
1739C2×C4—221no—
1740C2×C4—221no—
1741C2×C4—221no—
1742C2×C4—221no—
1743C2×C4—441no—
1744C2×C4—441no—
1745C2×C4—442no—
1746C2×C4—442no—
1747C2×C4—442no—
1748C2×C4—442no—
1749C2×C4—442no—
1750C2×C4—442no—
1751C2×C4—442no—
1752C2×C4—442no—
1753C2×C4—442no—
1754C2×C4—442no—
1755C2×C4—881no—
1756C2×C4—881no—
1757C2×C4—881no—
1758C2×C4—881no—
1759C2×C4C2×D4×D1111yescharacteristic
1760C2×C4C2×D4×D1111yescharacteristic
1761C2×C4C2×D4×D1111yescharacteristic
1762C2×C4C2×D4×D1111yescharacteristic
1763C2×C4C24×D1111yescharacteristic
1764C8—21no—
1765C8—21no—
1766C8—21no—
1767C8—21no—
1768C8—221no—
1769C8—221no—
1770C8—221no—
1771C8—221no—
1772C22—21no—
1773C22—21no—
1774C22—21no—
1775C22—21no—
1776C22—21no—
1777C22—21no—
1778C22—41no—
1779C22—41no—
1780C22—41no—
1781C22—41no—
1782C22—41no—
1783C22—41no—
1784C22—112no—
1785C22—112no—
1786C22—221no—
1787C22—221no—
1788C22—221no—
1789C22—221no—
1790C22—221no—
1791C22—222no—
1792C22—221no—
1793C22—221no—
1794C22—444no—
1795C22—441no—
1796C22—441no—
1797C22—441no—
1798C22—441no—
1799C22—441no—
1800C22—882no—
1801C22—884no—
1802C22—884no—
1803C22C22×D4×D1111yescharacteristic
1804C4—21no—
1805C4—21no—
1806C4—22no—
1807C4—21no—
1808C4—21no—
1809C4—41no—
1810C4—41no—
1811C4—41no—
1812C4—41no—
1813C4—41no—
1814C4—112no—
1815C4—221no—
1816C4—221no—
1817C4—221no—
1818C4—221no—
1819C4—441no—
1820C4—441no—
1821C4—441no—
1822C4—441no—
1823C4—441no—
1824C4—441no—
1825C4C2×#41×D1111yescharacteristic
1826C4D11×H(5,𝔽2)11yescharacteristic
1827C2—41no—
1828C2—41no—
1829C2—81no—
1830C2—81no—
1831C2—222no—
1832C2—222no—
1833C2—441no—
1834C2—442no—
1835C2—881no—
1836C2D11×#54611yescharacteristic
1837C2D11×#57511yescharacteristic
1838C2#1308338811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3321C2
socleC22×C11C23×D4
hypercenter#3321D11
hypocenterC11#61141
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. #13082173C2semidirect
2. #13082105C2semidirect
3. #13080780C2semidirect
4. #13080766C2semidirect
5. #13080752C2semidirect
6. #13080738C2semidirect
7. #13080724C2semidirect
8. #13080710C2semidirect
9. #13080696C2semidirect
10. #13080682C2semidirect
11. #13080668C2semidirect
12. #13080654C2semidirect
13. #13080640C2semidirect
14. #13080626C2semidirect
15. #13080612C2semidirect
16. #13080598C2semidirect
17. #13080584C2semidirect
18. #13078958C2semidirect
19. #13078534C2semidirect
20. #13078528C2semidirect
21. #13078399C2semidirect
22. #13078223C2semidirect
23. #13078192C2semidirect
24. #13078068C2semidirect
25. #13077833C2semidirect
26. #13077831C2semidirect
27. #13077411C2semidirect
28. D11×#435C2semidirect
29. #13077134C2semidirect
30. D11×#416C2semidirect
31. C11×#3321C2semidirect
34. C11×#555C22semidirect
39. C2×#66969C22semidirect
40. C2×#66965C22semidirect
41. C2×M16×D11C22semidirect
42. C22×C8×D11C22semidirect
43. #10623261C22semidirect
44. #10623259C22semidirect
58. #10623145C22semidirect
64. #10623137C22semidirect
65. #10623137C22semidirect
69. #10623082C22semidirect
74. #10623073C22semidirect
75. C4×#4341C22semidirect
78. #10623060C22semidirect
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. #10622852C22semidirect
96. #10622846C22semidirect
97. #10622841C22semidirect
98. #10622838C22semidirect
99. #10622785C22semidirect
100. #10622785C22semidirect
101. #10622784C22semidirect
102. #10622783C22semidirect
103. #10622777C22semidirect
104. #10622775C22semidirect
105. #10622772C22semidirect
106. #10622769C22semidirect
107. #10622763C22semidirect
108. #10622750C22semidirect
109. #10622744C22semidirect
111. #10622727C22semidirect
112. #10622726C22semidirect
113. #10622724C22semidirect
114. #10622702C22semidirect
115. #10622700C22semidirect
116. #10622668C22semidirect
117. #10622667C22semidirect
118. #10622664C22semidirect
119. #10622658C22semidirect
120. #10622655C22semidirect
121. #10622655C22semidirect
122. #10622651C22semidirect
123. #10622650C22semidirect
124. #10622649C22semidirect
125. #10622648C22semidirect
126. #10622643C22semidirect
127. #10622634C22semidirect
128. #10622629C22semidirect
129. #10622627C22semidirect
130. #10622624C22semidirect
131. #10622616C22semidirect
132. #10622615C22semidirect
133. #10622614C22semidirect
134. #10622609C22semidirect
135. #10622502C22semidirect
136. #10622497C22semidirect
137. #10622495C22semidirect
138. #10622493C22semidirect
139. #10622484C22semidirect
140. #10622484C22semidirect
141. #10622481C22semidirect
142. #10622477C22semidirect
143. #10622476C22semidirect
144. #10622475C22semidirect
145. #10622473C22semidirect
146. #10622473C22semidirect
147. #10622458C22semidirect
148. #10622455C22semidirect
149. #10622449C22semidirect
150. D11×C4⋊C8C22semidirect
151. #10622426C22semidirect
152. #10622423C22semidirect
153. #10622423C22semidirect
154. #10622422C22semidirect
155. #10622421C22semidirect
156. #10622418C22semidirect
160. #10622417C22semidirect
161. #10622417C22semidirect
162. #10622417C22semidirect
163. #10622416C22semidirect
164. #10622416C22semidirect
165. #10622416C22semidirect
166. #10622416C22semidirect
167. D11×#103C22semidirect
168. D11×#103C22semidirect
169. #10622412C22semidirect
170. #10622412C22semidirect
171. #10622410C22semidirect
172. #10622410C22semidirect
173. #10622406C22semidirect
174. #10622402C22semidirect
175. #10622398C22semidirect
176. #10622393C22semidirect
177. #10622393C22semidirect
178. #10622390C22semidirect
179. #10622389C22semidirect
180. #10622388C22semidirect
181. #10622387C22semidirect
182. #10622385C22semidirect
183. #10622385C22semidirect
184. #10622385C22semidirect
185. #10622385C22semidirect
186. D11×#102C22semidirect
187. D11×#102C22semidirect
188. #10622377C22semidirect
189. #10622377C22semidirect
190. #10622375C22semidirect
191. #10622350C22semidirect
192. #10622346C22semidirect
193. #10622344C22semidirect
194. #10622343C22semidirect
196. D11×C22⋊C8C22semidirect
197. D11×C22⋊C8C22semidirect
198. #10622336C22semidirect
199. #10622327C22semidirect
200. #10622323C22semidirect
201. #10622319C22semidirect
202. D11×#97C22semidirect
538. #4343#41semidirect
724. #3321D11semidirect
892. #555C2×D11semidirect
941. #489C2×D11semidirect
945. #485C2×D11semidirect
953. #482C2×D11semidirect
964. #475C2×D11semidirect
969. #469C2×D11semidirect
981. #465C2×D11semidirect
985. #463C2×D11semidirect
1001. #449C2×D11semidirect
1003. #448C2×D11semidirect
1013. #440C2×D11semidirect
1021. #435C2×D11semidirect
1027. #419C2×D11semidirect
1047. #416C2×D11semidirect
1640. C11#61141semidirect

Maximal subgroups

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

subgroupindex
#130821732
#130821052
#130807802
#130807662
#130807522
#130807382
#130807242
#130807102
#130806962
#130806822
#130806682
#130806542
#130806402
#130806262
#130806122
#130805982
#130805842
#130789582
#130785342
#130785282
#130783992
#130782232
#130781922
#130780682
#130778332
#130778312
#130774112
D11×#4352
#130771342
D11×#4162
C11×#33212
#6114111