Finite Group Databasebeta

← #15639513

Subgroups — #15639513

Order 2816.

2044 conjugacy classes of subgroups.

The subgroup lattice has 1866 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082916C211yesmaximal, characteristic, complemented
2#13082269C211yesmaximal, characteristic, complemented
3#13080953C211yesmaximal, characteristic, complemented
4#13080867C211yesmaximal, characteristic, complemented
5#13080740C211yesmaximal, characteristic, complemented
6#13080724C211yesmaximal, characteristic, complemented
7#13080676C211yesmaximal, characteristic, complemented
8#13080618C211yesmaximal, characteristic, complemented
9#13080504C211yesmaximal, characteristic, complemented
10#13080359C211yesmaximal, characteristic, complemented
11#13080343C211yesmaximal, characteristic, complemented
12#13080275C211yesmaximal, characteristic, complemented
13#13080272C211yesmaximal, characteristic, complemented
14#13080197C211yesmaximal, characteristic, complemented
15#13080196C211yesmaximal, characteristic, complemented
16#13080183C211yesmaximal, characteristic, complemented
17#13080164C211yesmaximal, characteristic, complemented
18#13079713C211yesmaximal, characteristic, complemented
19#13079687C211yesmaximal, characteristic, complemented
20#13079490C211yesmaximal, characteristic, complemented
21#13079471C211yesmaximal, characteristic, complemented
22#13079456C211yesmaximal, characteristic, complemented
23#13079392C211yesmaximal, characteristic, complemented
24#13078913C211yesmaximal, characteristic, complemented
25#13078852C211yesmaximal, characteristic, complemented
26#13077935C211yesmaximal, characteristic, complemented
27#13077914C211yesmaximal, characteristic, complemented
28#13077873C211yesmaximal, characteristic, complemented
29#13077836C211yesmaximal, characteristic, complemented
30#13077658C211yesmaximal, characteristic, complemented
31C11×#3304C211yesmaximal, characteristic, complemented
32C2×#67043C2211yescharacteristic
33C2×#41×D11C2211yescharacteristic
34C11×#556C2211yescharacteristic, complemented
35C11×#550C2211yescharacteristic
36#10623365C2211yescharacteristic
37#10623362C2211yescharacteristic
38C2×#67004C2211yescharacteristic, complemented
39C2×#67003C2211yescharacteristic
40C2×#66971C2211yescharacteristic
41C2×#66971C2211yescharacteristic, complemented
42C2×#66969C2211yescharacteristic, complemented
43C2×#66968C2211yescharacteristic
44C22×Dic44C2211yescharacteristic, complemented
45C2×#66957C2211yescharacteristic
46#10623264C2211yescharacteristic
47#10623261C2211yescharacteristic, complemented
48#10623249—21no—
49#10623249C2211yescharacteristic
50#10623246—21no—
51#10623246C2211yescharacteristic
52#10623243—21no—
53#10623240—21no—
54#10623238—21no—
55#10623235—21no—
56#10623215—21no—
57#10623209—21no—
58#10623163C2211yescharacteristic, complemented
59#10623162C2211yescharacteristic, complemented
60#10623160C2211yescharacteristic
61D11×C22⋊Q8C2211yescharacteristic
62#10623138—21no—
63#10623138C2211yescharacteristic
64#10623137—21no—
65#10623137C2211yescharacteristic
66#10623130—21no—
67#10623130C2211yescharacteristic
68#10623129—21no—
69#10623129C2211yescharacteristic
70#10623114C2211yescharacteristic
71#10623113—21no—
72#10623110—21no—
73#10623107C2211yescharacteristic
74#10623107C2211yescharacteristic, complemented
75#10623103C2211yescharacteristic
76#10623083—21no—
77#10623083C2211yescharacteristic
78#10623083C2211yescharacteristic, complemented
79#10623078—21no—
80#10623078C2211yescharacteristic
81#10623061C2211yescharacteristic, complemented
82#10623060C2211yescharacteristic, complemented
83#10623057C2211yescharacteristic
84#10623055C2211yescharacteristic
85C11×#486C2211yescharacteristic, complemented
86C11×#482C2211yescharacteristic, complemented
87C11×#482C2211yescharacteristic, complemented
88C11×#475C2211yescharacteristic, complemented
89C11×#465C2211yescharacteristic, complemented
90C11×#465C2211yescharacteristic, complemented
91C11×#460C2211yescharacteristic, complemented
92C11×#452C2211yescharacteristic
93C11×#452C2211yescharacteristic, complemented
94C4×C11×Q16C2211yescharacteristic, complemented
95C8×D4×C11C2211yescharacteristic, complemented
96C11×#416C2211yescharacteristic
97C11×#416C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic
99#10622851C2211yescharacteristic, complemented
100#10622799C2211yescharacteristic
101#10622795C2211yescharacteristic, complemented
102#10622788C2211yescharacteristic, complemented
103#10622786C2211yescharacteristic
104#10622785C2211yescharacteristic, complemented
105#10622783C2211yescharacteristic, complemented
106#10622782C2211yescharacteristic
107#10622780C2211yescharacteristic, complemented
108#10622729C2211yescharacteristic, complemented
109#10622728C2211yescharacteristic, complemented
110#10622724C2211yescharacteristic, complemented
111#10622723C2211yescharacteristic
112C8×C22⋊D11C2211yescharacteristic, complemented
113C2×(C2×D11)⋊C8C2211yescharacteristic
114#10622704C2211yescharacteristic, complemented
115#10622702C2211yescharacteristic, complemented
116#10622688C2211yescharacteristic, complemented
117#10622687C2211yescharacteristic, complemented
118#10622664C2211yescharacteristic, complemented
119#10622663C2211yescharacteristic, complemented
120#10622662C2211yescharacteristic, complemented
121#10622660C2211yescharacteristic
122#10622654C2211yescharacteristic, complemented
123#10622653C2211yescharacteristic, complemented
124#10622652C2211yescharacteristic, complemented
125#10622650C2211yescharacteristic, complemented
126#10622643C2211yescharacteristic, complemented
127#10622643C2211yescharacteristic, complemented
128#10622641C2211yescharacteristic, complemented
129#10622641C2211yescharacteristic, complemented
130#10622624C2211yescharacteristic, complemented
131#10622617C2211yescharacteristic, complemented
132#10622616C2211yescharacteristic, complemented
133#10622615C2211yescharacteristic
134#10622609C2211yescharacteristic, complemented
135#10622501C2211yescharacteristic
136#10622499C2211yescharacteristic, complemented
137#10622499C2211yescharacteristic, complemented
138#10622490C2211yescharacteristic, complemented
139#10622481C2211yescharacteristic, complemented
140#10622480C2211yescharacteristic
141#10622479C2211yescharacteristic
142#10622477C2211yescharacteristic, complemented
143#10622476C2211yescharacteristic, complemented
144#10622475C2211yescharacteristic, complemented
145#10622466C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622458C2211yescharacteristic, complemented
148#10622458C2211yescharacteristic, complemented
149#10622453C2211yescharacteristic
150#10622449C2211yescharacteristic, complemented
151#10622430C2211yescharacteristic, complemented
152#10622427C2211yescharacteristic
153#10622424C2211yescharacteristic
154#10622424C2211yescharacteristic, complemented
155#10622423C2211yescharacteristic
156#10622421C2211yescharacteristic
157#10622421C2211yescharacteristic
158#10622421C2211yescharacteristic, complemented
159#10622421C2211yescharacteristic, complemented
160#10622421C2211yescharacteristic, complemented
161#10622419C2211yescharacteristic
162#10622416C2211yescharacteristic
163D11×#103C2211yescharacteristic, complemented
164#10622409C2211yescharacteristic, complemented
165#10622406C2211yescharacteristic, complemented
166#10622403C2211yescharacteristic, complemented
167#10622400C2211yescharacteristic, complemented
168#10622399C2211yescharacteristic, complemented
169#10622396C2211yescharacteristic
170#10622396C2211yescharacteristic
171#10622396C2211yescharacteristic
172#10622396C2211yescharacteristic, complemented
173#10622396C2211yescharacteristic, complemented
174#10622395C2211yescharacteristic, complemented
175#10622394C2211yescharacteristic
176#10622394C2211yescharacteristic
177#10622393C2211yescharacteristic, complemented
178#10622393C2211yescharacteristic, complemented
179#10622391C2211yescharacteristic, complemented
180#10622389C2211yescharacteristic
181#10622389C2211yescharacteristic
182#10622387C2211yescharacteristic, complemented
183#10622387C2211yescharacteristic, complemented
184#10622386C2211yescharacteristic
185#10622384C2211yescharacteristic
186#10622384C2211yescharacteristic, complemented
187#10622381C2211yescharacteristic, complemented
188#10622380C2211yescharacteristic, complemented
189#10622377C2211yescharacteristic, complemented
190#10622375C2211yescharacteristic, complemented
191#10622351C2211yescharacteristic, complemented
192#10622351C2211yescharacteristic, complemented
193#10622346C2211yescharacteristic
194#10622346C2211yescharacteristic, complemented
195#10622343C2211yescharacteristic, complemented
196#10622342C2211yescharacteristic, complemented
197#10622340C2211yescharacteristic
198#10622339C2211yescharacteristic
199C4×Dic44C2211yescharacteristic, complemented
200#10622309C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic
202#10622301C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205#67043—42no—
206#67043—42no—
207#41×D11—42no—
208#41×D11—42no—
209C2×#4343C2311yescharacteristic
210C2×#4343C2311yescharacteristic
211C2×Q8×D11C2311yescharacteristic
212C2×Q8×D11C2311yescharacteristic
213C2×Q8×D11C2311yescharacteristic
214C2×#4341—21no—
215C2×#4341—21no—
216C2×#4341—21no—
217C2×#4341C2311yescharacteristic
218C2×#4341C2311yescharacteristic
219C2×#4341C2311yescharacteristic
220C2×D4×D11—21no—
221C2×D4×D11C2311yescharacteristic
222C2×#4339—21no—
223C2×#4339—21no—
224C2×#4339C2311yescharacteristic
225C2×#4339C2311yescharacteristic
226C2×#4339C2311yescharacteristic
227C22×C4×D11—21no—
228C22×C4×D11C2311yescharacteristic
229C22×Dic22—21no—
230C22×Dic22C2311yescharacteristic
231C22×Dic22C2311yescharacteristic
232C2×C11×Q16C2311yescharacteristic
233C2×C11×SD16C2311yescharacteristic
234C2×C11×SD16C2311yescharacteristic
235C22×C8×C11C2311yescharacteristic
236C22×C8×C11C2311yescharacteristic
237C11×C4⋊Q8C2311yescharacteristic
238C11×#127—21no—
239C11×#127C2311yescharacteristic
240C11×#126—21no—
241C11×#126—21no—
242C11×#124—21no—
243C11×C22⋊Q8C2311yescharacteristic
244C11×C22⋊Q8C2311yescharacteristic
245C11×#121—21no—
246C11×#121—21no—
247C11×#121C2311yescharacteristic
248C11×#121C2311yescharacteristic
249C4×Q8×C11—21no—
250C4×Q8×C11C2311yescharacteristic
251C4×Q8×C11C2311yescharacteristic
252C4×D4×C11—21no—
253C4×D4×C11C2311yescharacteristic
254C11×#117C2311yescharacteristic
255C11×#117C2311yescharacteristic
256#67004—42no—
257#67003—42no—
258#67000—21no—
259#66999—21no—
260#66999—21no—
261#66999—21no—
262#66999C2311yescharacteristic
263Q8×Dic11C2311yescharacteristic
264#66997C2311yescharacteristic
265C2×#4326C2311yescharacteristic
266C2×#4326C2311yescharacteristic
267C2×#4326C2311yescharacteristic
268C2×#4326C2311yescharacteristic
269C2×#4325C2311yescharacteristic
270C2×#4325C2311yescharacteristic
271#66993—21no—
272#66993—21no—
273#66993—21no—
274#66993—21no—
275#66993C2311yescharacteristic
276#66992—21no—
277#66992—21no—
278#66992—21no—
279#66992—21no—
280#66992—21no—
281#66992—21no—
282#66992—21no—
283#66992—21no—
284#66992D411yescharacteristic
285#66991—21no—
286#66991—21no—
287#66991C2311yescharacteristic
288#66991C2311yescharacteristic
289#66990—21no—
290#66990—21no—
291#66990—21no—
292#66990—21no—
293#66990D411yescharacteristic
294#66989—21no—
295#66989C2311yescharacteristic
296D4×Dic11—21no—
297D4×Dic11—21no—
298D4×Dic11—21no—
299C2×#4324C2311yescharacteristic
300C2×#4324C2311yescharacteristic
301C2×#4324C2311yescharacteristic
302C2×#4324C2311yescharacteristic
303C2×#4323C2311yescharacteristic
304C2×#4323C2311yescharacteristic
305#66983—21no—
306#66983C2311yescharacteristic
307#66983C2311yescharacteristic
308C4×C22⋊D11—21no—
309C4×C22⋊D11—21no—
310C4×C22⋊D11C2311yescharacteristic
311C4×C22⋊D11C2311yescharacteristic
312#66977—21no—
313#66977C2311yescharacteristic
314#66977C2311yescharacteristic
315C2×#4318C2311yescharacteristic
316C22×C11⋊C8C2311yescharacteristic
317#66971—42no—
318#66971—42no—
319#66969—42no—
320#66968—42no—
321C2×Dic44—42no—
322C2×Dic44C2311yescharacteristic
323C2×Dic44C2311yescharacteristic
324C2×Dic44C2311yescharacteristic
325C2×Dic44C2311yescharacteristic
326#66957—42no—
327C2×D88C2311yescharacteristic
328C2×#4314C2311yescharacteristic
329C2×#4314C2311yescharacteristic
330C2×#4314C2311yescharacteristic
331C2×#4314C2311yescharacteristic
332C2×#4313C2311yescharacteristic
333C2×#4313C2311yescharacteristic
334C2×#4313C2311yescharacteristic
335C2×C8×D11C2311yescharacteristic
336#66951—21no—
337#66951—21no—
338#66950—21no—
339#66950—21no—
340#66950C2311yescharacteristic
341#66950C2311yescharacteristic
342#66950C2311yescharacteristic
343#66950C2311yescharacteristic
344#66950C2311yescharacteristic
345#66950C2311yescharacteristic
346#66949—21no—
347#66949—21no—
348#66949—21no—
349#66949—21no—
350#66949—21no—
351#66949D411yescharacteristic
352#66948—21no—
353#66948—21no—
354#66948—21no—
355#66948C2311yescharacteristic
356#66948C2311yescharacteristic
357#66948C2311yescharacteristic
358#66947—21no—
359#66947—21no—
360#66947D411yescharacteristic
361#66946—21no—
362#66946C2311yescharacteristic
363#66945—21no—
364#66945C2311yescharacteristic
365C4⋊C4×D11—21no—
366C4⋊C4×D11—21no—
367C4⋊C4×D11C2311yescharacteristic
368C4⋊C4×D11C2311yescharacteristic
369#66943—21no—
370#66943C2311yescharacteristic
371#66942—21no—
372#66941—21no—
373#66940—21no—
374#66940C2311yescharacteristic
375#66940C2311yescharacteristic
376#66939—21no—
377#66939—21no—
378#66939—21no—
379#66938—21no—
380#66938—21no—
381#66938—21no—
382#66938—21no—
383#66937—21no—
384#66937—21no—
385#66937—21no—
386#66937—21no—
387#66937—21no—
388#66937D411yescharacteristic
389#66936—21no—
390#66936—21no—
391#66936—21no—
392#66936—21no—
393#66936D411yescharacteristic
394#66935—21no—
395#66935—21no—
396#66935D411yescharacteristic
397(C22⋊D11)⋊C4—21no—
398(C22⋊D11)⋊C4—21no—
399(C22⋊D11)⋊C4—21no—
400(C22⋊D11)⋊C4—21no—
401(C22⋊D11)⋊C4—21no—
402C22⋊C4×D11—21no—
403#66932—21no—
404#66931—21no—
405#66931—21no—
406#66931—21no—
407#66931D411yescharacteristic
408#66929—21no—
409#66929—21no—
410#66928—21no—
411#66928—21no—
412#66928—21no—
413#66928C2311yescharacteristic
414#66928C2311yescharacteristic
415C4×D44—21no—
416C4×D44—21no—
417C4×D44—21no—
418C4×D44—21no—
419C4×D44—21no—
420C4×D44C2311yescharacteristic
421#66925—21no—
422#66925—21no—
423#66925C2311yescharacteristic
424#66923—21no—
425#66923—21no—
426#66922—21no—
427C4×Dic22—21no—
428C4×Dic22C2311yescharacteristic
429C4×Dic22C2311yescharacteristic
430C11×#107C2311yescharacteristic
431C11×#106C2311yescharacteristic
432C11×#106C2311yescharacteristic
433C11×C4⋊C8C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
436C11×#103C2311yescharacteristic
437C11×#103C2311yescharacteristic
438C11×#102C2311yescharacteristic
439C11×#102C2311yescharacteristic
440C11×#102C2311yescharacteristic
441C11×#102C2311yescharacteristic
442C11×#102C2311yescharacteristic
443C11×#102C2311yescharacteristic
444C11×C22⋊C8C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446C4×C8×C11C2311yescharacteristic
447#66899C2311yescharacteristic
448#66899C2311yescharacteristic
449#66896C2311yescharacteristic
450#66896C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453#66885C2311yescharacteristic
454#66885C2311yescharacteristic
455(C2×D11)⋊C8C2311yescharacteristic
456(C2×D11)⋊C8C2311yescharacteristic
457(C2×D11)⋊C8C2311yescharacteristic
458(C2×D11)⋊C8C2311yescharacteristic
459(C2×D11)⋊C8C2311yescharacteristic
460(C2×D11)⋊C8C2311yescharacteristic
461(C2×D11)⋊C8C2311yescharacteristic
462(C2×D11)⋊C8C2311yescharacteristic
463#66882C2311yescharacteristic
464#66880C2311yescharacteristic
465#66880C2311yescharacteristic
466#66880C2311yescharacteristic
467#66880C2311yescharacteristic
468#66879C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470Dic11⋊C8C2311yescharacteristic
471C8×Dic11C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66874C2311yescharacteristic
477#66874C2311yescharacteristic
478#66874C2311yescharacteristic
479#66874C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66872C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489#66867C2311yescharacteristic
490#61615—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11C2×D411yescharacteristic
493C11×#41—22no—
494C11×#41—22no—
495C11×#41—41no—
496C11×#41—41no—
497C2×Q8×C11—21no—
498C2×Q8×C11C2411yescharacteristic
499C2×Q8×C11C2411yescharacteristic
500C2×D4×C11—21no—
501C2×D4×C11—21no—
502C2×D4×C11—21no—
503C2×D4×C11—21no—
504C2×D4×C11—21no—
505C2×D4×C11—21no—
506C2×D4×C11C2×D411yescharacteristic
507C2×D4×C11C2411yescharacteristic
508C2×D4×C11C2411yescharacteristic
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
527C2×C22⋊D11C2×D411yescharacteristic
528C2×C22⋊D11C2×D411yescharacteristic
529C22×Dic11—21no—
530C22×Dic11—21no—
531C22×Dic11—21no—
532C22×Dic11—21no—
533C22×Dic11—21no—
534C22×Dic11C2×D411yescharacteristic
535#4343—22no—
536#4343—41no—
537#4343—41no—
538#4343—41no—
539Q8×D11—22no—
540Q8×D11—22no—
541Q8×D11—22no—
542Q8×D11—41no—
543Q8×D11—41no—
544Q8×D11—41no—
545#4341—22no—
546#4341—22no—
547#4341—41no—
548#4341—41no—
549#4341—41no—
550#4341—41no—
551#4341—44no—
552#4341—44no—
553#4341—44no—
554D4×D11—41no—
555D4×D11—41no—
556D4×D11—44no—
557#4339—22no—
558#4339—41no—
559#4339—41no—
560#4339—41no—
561#4339—41no—
562#4339—41no—
563#4339—44no—
564#4339—44no—
565C2×D44—21no—
566C2×D44—21no—
567C2×D44—21no—
568C2×D44—21no—
569C2×D44—21no—
570C2×D44C2×D411yescharacteristic
571C2×D44C2×D411yescharacteristic
572C2×D44C2411yescharacteristic
573C2×D44C2411yescharacteristic
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—21no—
584C2×C4×D11—41no—
585C2×C4×D11—41no—
586C2×C4×D11—44no—
587C2×C4×D11C2×D411yescharacteristic
588C2×C4×D11C2×D411yescharacteristic
589C2×C4×D11C2411yescharacteristic
590C2×C4×D11C2411yescharacteristic
591C2×C4×D11C2411yescharacteristic
592C2×Dic22—21no—
593C2×Dic22—22no—
594C2×Dic22—21no—
595C2×Dic22—21no—
596C2×Dic22—21no—
597C2×Dic22—21no—
598C2×Dic22—41no—
599C2×Dic22—41no—
600C2×Dic22—41no—
601C2×Dic22—44no—
602C2×Dic22C2×D411yescharacteristic
603C2×Dic22C2411yescharacteristic
604C2×Dic22C2411yescharacteristic
605C2×Dic22C2411yescharacteristic
606C2×Dic22C2411yescharacteristic
607C11×Q16—22no—
608C11×SD16—41no—
609C11×SD16—41no—
610C2×C8×C11—41no—
611C2×C8×C11—41no—
612C2×C8×C11C2411yescharacteristic
613C2×C8×C11C2411yescharacteristic
614C2×C8×C11C2411yescharacteristic
615C2×C8×C11C2411yescharacteristic
616C11×C4⋊C4—21no—
617C11×C4⋊C4—21no—
618C11×C4⋊C4—21no—
619C11×C4⋊C4—21no—
620C11×C4⋊C4—21no—
621C11×C4⋊C4C2×D411yescharacteristic
622C11×C4⋊C4C2411yescharacteristic
623C11×C4⋊C4C2411yescharacteristic
624C11×C4⋊C4C2411yescharacteristic
625C11×C4⋊C4C2411yescharacteristic
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⋊C4C2×D411yescharacteristic
633C11×C22⋊C4C2×D411yescharacteristic
634C42×C11—21no—
635C42×C11—21no—
636C42×C11—21no—
637C42×C11—21no—
638C42×C11C2411yescharacteristic
639C22⋊Dic11—21no—
640C22⋊Dic11—21no—
641C22⋊Dic11—21no—
642C22⋊Dic11—21no—
643C22⋊Dic11—21no—
644C22⋊Dic11—21no—
645C22⋊Dic11C2×D411yescharacteristic
646C22⋊Dic11C2×D411yescharacteristic
647#4326—22no—
648#4326—22no—
649#4326—22no—
650#4326—41no—
651#4325—22no—
652#4325—41no—
653#4324—41no—
654#4324—41no—
655#4324—41no—
656#4324—41no—
657#4323—41no—
658#4323—41no—
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)⋊C4—21no—
675(C2×D11)⋊C4—21no—
676(C2×D11)⋊C4—21no—
677(C2×D11)⋊C4C2×D411yescharacteristic
678(C2×D11)⋊C4C2×D411yescharacteristic
679(C2×D11)⋊C4C2×D411yescharacteristic
680(C2×D11)⋊C4C2×D411yescharacteristic
681(C2×D11)⋊C4C2×D411yescharacteristic
682(C2×D11)⋊C4C2×D411yescharacteristic
683C4⋊Dic11—21no—
684C4⋊Dic11—21no—
685C4⋊Dic11—21no—
686C4⋊Dic11—21no—
687C4⋊Dic11—21no—
688C4⋊Dic11—21no—
689C4⋊Dic11—21no—
690C4⋊Dic11—21no—
691C4⋊Dic11C2×D411yescharacteristic
692C4⋊Dic11C2411yescharacteristic
693C4⋊Dic11C2411yescharacteristic
694Dic11⋊C4—21no—
695Dic11⋊C4—21no—
696Dic11⋊C4—21no—
697Dic11⋊C4—21no—
698Dic11⋊C4—21no—
699Dic11⋊C4—21no—
700Dic11⋊C4—21no—
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4C2×D411yescharacteristic
707Dic11⋊C4C2×D411yescharacteristic
708Dic11⋊C4C2×D411yescharacteristic
709Dic11⋊C4C2×D411yescharacteristic
710C4×Dic11—21no—
711C4×Dic11—21no—
712C4×Dic11—21no—
713C4×Dic11—21no—
714C4×Dic11—21no—
715C4×Dic11—21no—
716C4×Dic11C2411yescharacteristic
717#4318—41no—
718C2×C11⋊C8—41no—
719C2×C11⋊C8C2411yescharacteristic
720C2×C11⋊C8C2411yescharacteristic
721C2×C11⋊C8C2411yescharacteristic
722C2×C11⋊C8C2411yescharacteristic
723Dic44—22no—
724Dic44—22no—
725Dic44—41no—
726Dic44—41no—
727D88—41no—
728#4314—22no—
729#4314—41no—
730#4314—41no—
731#4314—41no—
732#4313—41no—
733#4313—41no—
734#4313—41no—
735C8×D11—41no—
736#3541—111no—
737#3487—111no—
738#3333—111no—
739#3326—111no—
740#3317—111no—
741#3316—111no—
742#3313—111no—
743#3309—111no—
744#3304D1111yescharacteristic, complemented
745#3300—111no—
746#3285—111no—
747#3284—111no—
748#3278—111no—
749#3277—111no—
750#3271—111no—
751#3271—111no—
752#3270—111no—
753#3269—111no—
754#3224—111no—
755#3222—111no—
756#3200—111no—
757#3198—111no—
758#3197—111no—
759#3190—111no—
760#3127—111no—
761#3121—111no—
762#3013—111no—
763#3011—111no—
764#3007—111no—
765#3002—111no—
766#2976—111no—
767C23×C11—21no—
768C23×C11—21no—
769C23×C11C22×D411yescharacteristic
770C23×C11C22×D411yescharacteristic
771C22×D11—21no—
772C22×D11—21no—
773C22×D11—41no—
774C22×D11—41no—
775C22×D11—41no—
776C22×D11—42no—
777C22×D11—81no—
778C22×D11—81no—
779C22×D11C22×D411yescharacteristic
780C22×D11C22×D411yescharacteristic
781C22×D11C22×D411yescharacteristic
782Q8×C11—21no—
783Q8×C11—21no—
784Q8×C11—21no—
785Q8×C11—81no—
786Q8×C11H(5,𝔽2)12yes—
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—
796D4×C11—81no—
797D4×C11—81no—
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—21no—
807C2×C4×C11—21no—
808C2×C4×C11—42no—
809C2×C4×C11—42no—
810C2×C4×C11C22×D411yescharacteristic
811C2×C4×C11C22×D411yescharacteristic
812C2×C4×C11C22×D411yescharacteristic
813C2×C4×C11C22×D411yescharacteristic
814C2×C4×C11C2511yescharacteristic
815C22⋊D11—41no—
816C22⋊D11—41no—
817C22⋊D11—41no—
818C22⋊D11—41no—
819C22⋊D11—42no—
820C22⋊D11—42no—
821C22⋊D11—42no—
822C22⋊D11—42no—
823C22⋊D11—42no—
824C22⋊D11—81no—
825C22⋊D11—81no—
826C22⋊D11—81no—
827C22⋊D11—81no—
828C22⋊D11—81no—
829C22⋊D11—81no—
830C22⋊D11—81no—
831C2×Dic11—21no—
832C2×Dic11—21no—
833C2×Dic11—21no—
834C2×Dic11—21no—
835C2×Dic11—21no—
836C2×Dic11—21no—
837C2×Dic11—41no—
838C2×Dic11—42no—
839C2×Dic11—42no—
840C2×Dic11—42no—
841C2×Dic11—42no—
842C2×Dic11—81no—
843C2×Dic11C22×D411yescharacteristic
844C2×Dic11C22×D411yescharacteristic
845C2×Dic11C22×D411yescharacteristic
846C2×Dic11C22×D411yescharacteristic
847C2×Dic11C22×D411yescharacteristic
848D44—21no—
849D44—21no—
850D44—21no—
851D44—21no—
852D44—41no—
853D44—41no—
854D44—42no—
855D44—42no—
856D44—81no—
857D44—81no—
858D44—81no—
859C4×D11—24no—
860C4×D11—21no—
861C4×D11—21no—
862C4×D11—21no—
863C4×D11—21no—
864C4×D11—21no—
865C4×D11—21no—
866C4×D11—41no—
867C4×D11—41no—
868C4×D11—42no—
869C4×D11—42no—
870C4×D11—42no—
871C4×D11—81no—
872C4×D11—81no—
873C4×D11—81no—
874C4×D11—81no—
875C4×D11—81no—
876C4×D11—81no—
877Dic22—24no—
878Dic22—21no—
879Dic22—21no—
880Dic22—21no—
881Dic22—21no—
882Dic22—21no—
883Dic22—21no—
884Dic22—21no—
885Dic22—41no—
886Dic22—42no—
887Dic22—42no—
888Dic22—81no—
889Dic22—81no—
890Dic22H(5,𝔽2)12yes—
891C8×C11—21no—
892C8×C11—21no—
893C8×C11—21no—
894C8×C11—21no—
895C11⋊C8—21no—
896C11⋊C8—21no—
897C11⋊C8—21no—
898C11⋊C8—21no—
899C2×2−1+4—111no—
900C22×#41—111no—
901C2×#137—111no—
902C2×#137—111no—
903C2×#137—111no—
904C2×#137—111no—
905C2×#135—111no—
906C2×#135—111no—
907C2×#135—111no—
908C22×Q16—111no—
909#563—221no—
910#562—221no—
911#556C2×D1111yescharacteristic, complemented
912#554—111no—
913#554—221no—
914#553—111no—
915#553—221no—
916#552—111no—
917#550—111no—
918#550—111no—
919#550—111no—
920#550—221no—
921#550—221no—
922#550C2×D1111yescharacteristic
923D4×Q8—111no—
924#548—111no—
925#548—111no—
926#548—111no—
927#548—111no—
928#548—111no—
929#548—111no—
930#548—221no—
931#548—221no—
932#547—111no—
933#542—111no—
934#542—221no—
935#541—111no—
936#539—221no—
937#538—221no—
938#538—221no—
939#537—111no—
940#536—111no—
941#535—111no—
942#535—111no—
943#535—221no—
944#535—221no—
945#525—111no—
946#525—111no—
947#525—111no—
948#525—221no—
949#525—221no—
950C2×C22⋊Q8—111no—
951#519—111no—
952#497—111no—
953#496—111no—
954#495—111no—
955#492—111no—
956#490—111no—
957#489—111no—
958#488—111no—
959#486C2×D1111yescharacteristic, complemented
960#485—111no—
961#485—111no—
962#485—111no—
963#485—111no—
964#483—111no—
965#482—111no—
966#482—111no—
967#482C2×D1111yescharacteristic, complemented
968#482C2×D1111yescharacteristic, complemented
969#481—111no—
970#480—111no—
971#480—111no—
972#479—111no—
973#479—111no—
974#477—111no—
975#475C2×D1111yescharacteristic, complemented
976#470—111no—
977#469—111no—
978#469—111no—
979#468—111no—
980#468—111no—
981#468—111no—
982#468—111no—
983#468—111no—
984#467—111no—
985#467—111no—
986#466—111no—
987#465—111no—
988#465—111no—
989#465—111no—
990#465C2×D1111yescharacteristic, complemented
991#465C2×D1111yescharacteristic, complemented
992#464—111no—
993#464—111no—
994#464—111no—
995#464—111no—
996#464—111no—
997#463—111no—
998#462—111no—
999#462—111no—
1000#460—111no—
1001#460—111no—
1002#460C2×D1111yescharacteristic, complemented
1003#459—111no—
1004#452—111no—
1005#452—111no—
1006#452—111no—
1007#452—111no—
1008#452—111no—
1009#452—111no—
1010#452—111no—
1011#452—111no—
1012#452—111no—
1013#452—111no—
1014#452—111no—
1015#452C2×D1111yescharacteristic
1016#452C2×D1111yescharacteristic, complemented
1017#451—111no—
1018#451—111no—
1019#451—111no—
1020#451—111no—
1021#451—111no—
1022#451—111no—
1023#451—111no—
1024#450—111no—
1025#450—111no—
1026#450—111no—
1027#449—111no—
1028#449—111no—
1029#449—111no—
1030#449—111no—
1031#449—111no—
1032#449—111no—
1033#449—111no—
1034#448—111no—
1035#448—111no—
1036#448—111no—
1037#448—111no—
1038#448—111no—
1039#447—111no—
1040#441—111no—
1041#441—111no—
1042#441—111no—
1043#440—111no—
1044C4×Q16—111no—
1045C4×Q16—111no—
1046C4×Q16C2×D1111yescharacteristic, complemented
1047C4×SD16—111no—
1048#436—111no—
1049#436—111no—
1050#435—111no—
1051#435—111no—
1052#435—111no—
1053#435—111no—
1054C8×D4—111no—
1055C8×D4C2×D1111yescharacteristic, complemented
1056#433—111no—
1057#433—111no—
1058#419—111no—
1059#417—111no—
1060#417—111no—
1061#417—111no—
1062#416—111no—
1063#416C2×D1111yescharacteristic
1064#416C2×D1111yescharacteristic, complemented
1065C2×#103—111no—
1066#408—111no—
1067#408—111no—
1068#407—111no—
1069C2×C22⋊C8—111no—
1070C22×C11—21no—
1071C22×C11—21no—
1072C22×C11—21no—
1073C22×C11—21no—
1074C22×C11—21no—
1075C22×C11—21no—
1076C22×C11—41no—
1077C22×C11—41no—
1078C22×C11—41no—
1079C22×C11—41no—
1080C22×C11—41no—
1081C22×C11—41no—
1082C22×C11C23×D411yescharacteristic
1083C2×D11—21no—
1084C2×D11—21no—
1085C2×D11—21no—
1086C2×D11—21no—
1087C2×D11—21no—
1088C2×D11—21no—
1089C2×D11—21no—
1090C2×D11—21no—
1091C2×D11—21no—
1092C2×D11—41no—
1093C2×D11—41no—
1094C2×D11—41no—
1095C2×D11—41no—
1096C2×D11—41no—
1097C2×D11—41no—
1098C2×D11—82no—
1099C2×D11—84no—
1100C4×C11—21no—
1101C4×C11—21no—
1102C4×C11—21no—
1103C4×C11—21no—
1104C4×C11—22no—
1105C4×C11—41no—
1106C4×C11—41no—
1107C4×C11—41no—
1108C4×C11—41no—
1109C4×C11—41no—
1110C4×C11C2×H(5,𝔽2)11yescharacteristic
1111C4×C11C2×H(5,𝔽2)11yescharacteristic
1112Dic11—21no—
1113Dic11—21no—
1114Dic11—21no—
1115Dic11—22no—
1116Dic11—21no—
1117Dic11—21no—
1118Dic11—41no—
1119Dic11—41no—
1120Dic11—41no—
1121Dic11—41no—
1122Dic11—41no—
11232−1+4—442no—
11242−1+4—442no—
1125C2×#41—111no—
1126C2×#41—111no—
1127C2×#41—111no—
1128C2×#41—111no—
1129C2×#41—111no—
1130C2×#41—111no—
1131C2×#41—111no—
1132C2×#41—111no—
1133C2×#41—221no—
1134C2×#41—221no—
1135C2×#41—221no—
1136C2×#41—221no—
1137C2×#41—221no—
1138C2×#41—442no—
1139C2×#41—442no—
1140C2×#41C22×D1111yescharacteristic
1141C2×#41C22×D1111yescharacteristic
1142C22×Q8—111no—
1143C22×Q8—111no—
1144C22×Q8—111no—
1145C22×Q8—111no—
1146C22×Q8—111no—
1147C22×Q8—221no—
1148C22×D4—111no—
1149C22×D4—221no—
1150C23×C4—111no—
1151C23×C4—221no—
1152#137—442no—
1153#137—442no—
1154#137—442no—
1155#137—442no—
1156#135—442no—
1157#135—442no—
1158#135—442no—
1159C2×Q16—111no—
1160C2×Q16—111no—
1161C2×Q16—111no—
1162C2×Q16—111no—
1163C2×Q16—111no—
1164C2×Q16—111no—
1165C2×Q16—111no—
1166C2×Q16—111no—
1167C2×Q16—442no—
1168C2×Q16C22×D1111yescharacteristic
1169C2×SD16—111no—
1170C2×SD16—111no—
1171C2×SD16—111no—
1172C2×SD16—111no—
1173C2×SD16—111no—
1174C2×SD16—111no—
1175C2×SD16—111no—
1176C2×SD16—111no—
1177C2×SD16—111no—
1178C2×SD16—111no—
1179C2×SD16C22×D1111yescharacteristic
1180C2×SD16C22×D1111yescharacteristic
1181C2×D8—111no—
1182C2×D8—111no—
1183C2×D8—111no—
1184C2×M16—111no—
1185C2×M16—111no—
1186C2×M16—111no—
1187C2×M16—111no—
1188C22×C8—111no—
1189C22×C8—111no—
1190C22×C8C22×D1111yescharacteristic
1191C22×C8C22×D1111yescharacteristic
1192C4⋊Q8—111no—
1193C4⋊Q8—221no—
1194C4⋊Q8—221no—
1195C4⋊Q8C22×D1111yescharacteristic
1196#127—21no—
1197#127—111no—
1198#127—221no—
1199#127—221no—
1200#127—221no—
1201#127—221no—
1202#127C22×D1111yescharacteristic
1203#126—21no—
1204#126—21no—
1205#126—221no—
1206#126—221no—
1207#126—221no—
1208#126—221no—
1209#126—221no—
1210#125—111no—
1211#125—221no—
1212#125—221no—
1213#125—221no—
1214#125—221no—
1215#124—21no—
1216#124—111no—
1217#124—111no—
1218#124—111no—
1219#124—221no—
1220#124—221no—
1221#124—221no—
1222#124—221no—
1223#124—221no—
1224#124—221no—
1225#124—221no—
1226#124—221no—
1227#124—221no—
1228#123—111no—
1229#123—111no—
1230#123—221no—
1231#123—221no—
1232#123—221no—
1233#123—221no—
1234#123—221no—
1235#123—221no—
1236#123—221no—
1237#123—221no—
1238#123—221no—
1239C22⋊Q8—111no—
1240C22⋊Q8—111no—
1241C22⋊Q8—111no—
1242C22⋊Q8—111no—
1243C22⋊Q8—111no—
1244C22⋊Q8—111no—
1245C22⋊Q8—111no—
1246C22⋊Q8—111no—
1247C22⋊Q8—111no—
1248C22⋊Q8—111no—
1249C22⋊Q8—111no—
1250C22⋊Q8—221no—
1251C22⋊Q8—221no—
1252C22⋊Q8—221no—
1253C22⋊Q8—221no—
1254C22⋊Q8—221no—
1255C22⋊Q8—221no—
1256C22⋊Q8—221no—
1257C22⋊Q8—221no—
1258C22⋊Q8—221no—
1259C22⋊Q8—221no—
1260C22⋊Q8—221no—
1261C22⋊Q8—221no—
1262C22⋊Q8—221no—
1263C22⋊Q8—221no—
1264C22⋊Q8C22×D1111yescharacteristic
1265C22⋊Q8C22×D1111yescharacteristic
1266#121—21no—
1267#121—21no—
1268#121—111no—
1269#121—111no—
1270#121—111no—
1271#121—111no—
1272#121—111no—
1273#121—111no—
1274#121—111no—
1275#121—111no—
1276#121—111no—
1277#121—221no—
1278#121—221no—
1279#121—221no—
1280#121—221no—
1281#121—221no—
1282#121—221no—
1283#121—221no—
1284#121—221no—
1285#121—221no—
1286#121—221no—
1287#121—221no—
1288#121—221no—
1289#121—221no—
1290#121—221no—
1291#121—221no—
1292#121—221no—
1293#121—221no—
1294#121—221no—
1295#121—221no—
1296#121C22×D1111yescharacteristic
1297#121C22×D1111yescharacteristic
1298#120—111no—
1299#120—111no—
1300#120—221no—
1301#120—221no—
1302#120—221no—
1303#120—221no—
1304#120—221no—
1305#120—221no—
1306C4×Q8—21no—
1307C4×Q8—111no—
1308C4×Q8—111no—
1309C4×Q8—111no—
1310C4×Q8—111no—
1311C4×Q8—111no—
1312C4×Q8—221no—
1313C4×Q8—221no—
1314C4×Q8C22×D1111yescharacteristic
1315C4×Q8C22×D1111yescharacteristic
1316C4×D4—21no—
1317C4×D4—111no—
1318C4×D4—111no—
1319C4×D4—111no—
1320C4×D4—111no—
1321C4×D4—221no—
1322C4×D4—221no—
1323C4×D4—221no—
1324C4×D4—221no—
1325C4×D4—221no—
1326C4×D4—221no—
1327C4×D4—221no—
1328C4×D4—221no—
1329C4×D4—221no—
1330C4×D4—221no—
1331C4×D4—221no—
1332C4×D4—221no—
1333C4×D4—221no—
1334C4×D4—221no—
1335C4×D4—221no—
1336C4×D4—221no—
1337C4×D4C22×D1111yescharacteristic
1338#117—111no—
1339#117—111no—
1340#117—221no—
1341#117—221no—
1342#117—221no—
1343#117C22×D1111yescharacteristic
1344#117C22×D1111yescharacteristic
1345C2×C4⋊C4—111no—
1346C2×C4⋊C4—111no—
1347C2×C4⋊C4—221no—
1348C2×C4⋊C4—221no—
1349C2×C22⋊C4—221no—
1350#107—111no—
1351#107—111no—
1352#107—111no—
1353#107C22×D1111yescharacteristic
1354#106—111no—
1355#106—111no—
1356#106C22×D1111yescharacteristic
1357#106C22×D1111yescharacteristic
1358C4⋊C8—111no—
1359C4⋊C8—111no—
1360C4⋊C8—111no—
1361C4⋊C8C22×D1111yescharacteristic
1362#103—111no—
1363#103—111no—
1364#103—111no—
1365#103—111no—
1366#103—111no—
1367#103—111no—
1368#103—111no—
1369#103—111no—
1370#103—111no—
1371#103—111no—
1372#103—111no—
1373#103—111no—
1374#103—111no—
1375#103—111no—
1376#103C22×D1111yescharacteristic
1377#103C22×D1111yescharacteristic
1378#103C22×D1111yescharacteristic
1379#103C22×D1111yescharacteristic
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#102C22×D1111yescharacteristic
1389#102C22×D1111yescharacteristic
1390#102C22×D1111yescharacteristic
1391#102C22×D1111yescharacteristic
1392#102C22×D1111yescharacteristic
1393#102C22×D1111yescharacteristic
1394C22⋊C8—111no—
1395C22⋊C8—111no—
1396C22⋊C8—111no—
1397C22⋊C8—111no—
1398C22⋊C8—111no—
1399C22⋊C8—111no—
1400C22⋊C8—111no—
1401C22⋊C8—111no—
1402C22⋊C8—111no—
1403C22⋊C8—111no—
1404C22⋊C8C22×D1111yescharacteristic
1405C22⋊C8C22×D1111yescharacteristic
1406#97—111no—
1407#97—111no—
1408C4×C8—111no—
1409C4×C8C22×D1111yescharacteristic
1410C2×C11—41no—
1411C2×C11—41no—
1412C2×C11—81no—
1413C2×C11—81no—
1414C2×C11#348411yescharacteristic
1415C2×C11#358411yescharacteristic
1416C2×C11#358611yescharacteristic
1417D11—41no—
1418D11—41no—
1419D11—41no—
1420D11—81no—
1421D11—81no—
1422C24—111no—
1423C24—221no—
1424#41—22no—
1425#41—22no—
1426#41—41no—
1427#41—41no—
1428#41—222no—
1429#41—222no—
1430#41—222no—
1431#41—222no—
1432#41—441no—
1433#41—441no—
1434#41—441no—
1435#41—441no—
1436#41—441no—
1437#41—444no—
1438#41—444no—
1439#41—441no—
1440#41—441no—
1441#41—441no—
1442#41—441no—
1443#41—444no—
1444#41—441no—
1445#41—441no—
1446#41—441no—
1447#41—444no—
1448#41—444no—
1449C2×Q8—21no—
1450C2×Q8—111no—
1451C2×Q8—111no—
1452C2×Q8—111no—
1453C2×Q8—111no—
1454C2×Q8—111no—
1455C2×Q8—221no—
1456C2×Q8—221no—
1457C2×Q8—221no—
1458C2×Q8—222no—
1459C2×Q8—222no—
1460C2×Q8—222no—
1461C2×Q8—221no—
1462C2×Q8—221no—
1463C2×Q8—222no—
1464C2×Q8—441no—
1465C2×Q8—441no—
1466C2×Q8—441no—
1467C2×Q8—444no—
1468C2×Q8—441no—
1469C2×Q8—441no—
1470C2×Q8—441no—
1471C2×Q8C23×D1111yescharacteristic
1472C2×Q8C23×D1111yescharacteristic
1473C2×D4—21no—
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—21no—
1477C2×D4—21no—
1478C2×D4—21no—
1479C2×D4—111no—
1480C2×D4—111no—
1481C2×D4—111no—
1482C2×D4—111no—
1483C2×D4—111no—
1484C2×D4—111no—
1485C2×D4—111no—
1486C2×D4—111no—
1487C2×D4—221no—
1488C2×D4—221no—
1489C2×D4—221no—
1490C2×D4—221no—
1491C2×D4—221no—
1492C2×D4—221no—
1493C2×D4—221no—
1494C2×D4—221no—
1495C2×D4—221no—
1496C2×D4—221no—
1497C2×D4—221no—
1498C2×D4—221no—
1499C2×D4—221no—
1500C2×D4—221no—
1501C2×D4—221no—
1502C2×D4—221no—
1503C2×D4—221no—
1504C2×D4—441no—
1505C2×D4—441no—
1506C2×D4—444no—
1507C2×D4D4×D1111yescharacteristic
1508C2×D4C23×D1111yescharacteristic
1509C2×D4C23×D1111yescharacteristic
1510C22×C4—21no—
1511C22×C4—21no—
1512C22×C4—111no—
1513C22×C4—111no—
1514C22×C4—111no—
1515C22×C4—111no—
1516C22×C4—111no—
1517C22×C4—111no—
1518C22×C4—221no—
1519C22×C4—221no—
1520C22×C4—221no—
1521C22×C4—221no—
1522C22×C4—221no—
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—441no—
1534C22×C4—441no—
1535C22×C4—444no—
1536C22×C4C23×D1111yescharacteristic
1537C22×C4C23×D1111yescharacteristic
1538Q16—22no—
1539Q16—222no—
1540Q16—222no—
1541Q16—222no—
1542Q16—222no—
1543Q16—222no—
1544Q16—441no—
1545Q16—441no—
1546Q16—441no—
1547SD16—41no—
1548SD16—41no—
1549SD16—222no—
1550SD16—222no—
1551SD16—441no—
1552SD16—441no—
1553SD16—441no—
1554SD16—441no—
1555SD16—441no—
1556SD16—441no—
1557SD16—441no—
1558SD16—441no—
1559D8—441no—
1560D8—441no—
1561D8—441no—
1562M16—441no—
1563M16—441no—
1564M16—441no—
1565M16—441no—
1566C2×C8—41no—
1567C2×C8—41no—
1568C2×C8—111no—
1569C2×C8—111no—
1570C2×C8—111no—
1571C2×C8—111no—
1572C2×C8—441no—
1573C2×C8—441no—
1574C2×C8C23×D1111yescharacteristic
1575C2×C8C23×D1111yescharacteristic
1576C2×C8C23×D1111yescharacteristic
1577C2×C8C23×D1111yescharacteristic
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—111no—
1584C4⋊C4—111no—
1585C4⋊C4—111no—
1586C4⋊C4—111no—
1587C4⋊C4—111no—
1588C4⋊C4—111no—
1589C4⋊C4—111no—
1590C4⋊C4—221no—
1591C4⋊C4—221no—
1592C4⋊C4—221no—
1593C4⋊C4—221no—
1594C4⋊C4—221no—
1595C4⋊C4—221no—
1596C4⋊C4—221no—
1597C4⋊C4—221no—
1598C4⋊C4—221no—
1599C4⋊C4—221no—
1600C4⋊C4—221no—
1601C4⋊C4—221no—
1602C4⋊C4—221no—
1603C4⋊C4—221no—
1604C4⋊C4—221no—
1605C4⋊C4—221no—
1606C4⋊C4—221no—
1607C4⋊C4—221no—
1608C4⋊C4—221no—
1609C4⋊C4—221no—
1610C4⋊C4D4×D1111yescharacteristic
1611C4⋊C4C23×D1111yescharacteristic
1612C4⋊C4C23×D1111yescharacteristic
1613C4⋊C4C23×D1111yescharacteristic
1614C4⋊C4C23×D1111yescharacteristic
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—21no—
1620C22⋊C4—21no—
1621C22⋊C4—111no—
1622C22⋊C4—111no—
1623C22⋊C4—111no—
1624C22⋊C4—111no—
1625C22⋊C4—111no—
1626C22⋊C4—111no—
1627C22⋊C4—111no—
1628C22⋊C4—111no—
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⋊C4—221no—
1643C22⋊C4—221no—
1644C22⋊C4—221no—
1645C22⋊C4—221no—
1646C22⋊C4—221no—
1647C22⋊C4—221no—
1648C22⋊C4—221no—
1649C22⋊C4—221no—
1650C22⋊C4—221no—
1651C22⋊C4—221no—
1652C22⋊C4—221no—
1653C22⋊C4D4×D1111yescharacteristic
1654C22⋊C4D4×D1111yescharacteristic
1655C42—21no—
1656C42—21no—
1657C42—21no—
1658C42—21no—
1659C42—111no—
1660C42—221no—
1661C42—221no—
1662C42—221no—
1663C42—221no—
1664C42—221no—
1665C42—221no—
1666C42C23×D1111yescharacteristic
1667C11#6161511yescharacteristic, complemented, Sylow
1668C23—21no—
1669C23—21no—
1670C23—111no—
1671C23—111no—
1672C23—111no—
1673C23—221no—
1674C23—221no—
1675C23—441no—
1676C23—441no—
1677C23—441no—
1678C23—442no—
1679C23—881no—
1680C23—881no—
1681C23C2×D4×D1111yescharacteristic
1682C23C2×D4×D1111yescharacteristic
1683Q8—21no—
1684Q8—21no—
1685Q8—21no—
1686Q8—81no—
1687Q8—112no—
1688Q8—224no—
1689Q8—221no—
1690Q8—221no—
1691Q8—221no—
1692Q8—221no—
1693Q8—221no—
1694Q8—221no—
1695Q8—221no—
1696Q8—441no—
1697Q8—442no—
1698Q8—442no—
1699Q8—881no—
1700Q8—881no—
1701Q8#6704212yes—
1702D4—21no—
1703D4—21no—
1704D4—21no—
1705D4—21no—
1706D4—41no—
1707D4—42no—
1708D4—42no—
1709D4—81no—
1710D4—81no—
1711D4—81no—
1712D4—81no—
1713D4—221no—
1714D4—221no—
1715D4—221no—
1716D4—221no—
1717D4—441no—
1718D4—441no—
1719D4—442no—
1720D4—442no—
1721D4—441no—
1722D4—441no—
1723D4—441no—
1724D4—441no—
1725D4—442no—
1726D4—442no—
1727D4—442no—
1728D4—442no—
1729D4—442no—
1730D4—881no—
1731D4—881no—
1732D4—881no—
1733D4—881no—
1734D4—881no—
1735D4—881no—
1736D4—881no—
1737D4—881no—
1738D4—881no—
1739D4—881no—
1740C2×C4—21no—
1741C2×C4—21no—
1742C2×C4—21no—
1743C2×C4—21no—
1744C2×C4—21no—
1745C2×C4—21no—
1746C2×C4—21no—
1747C2×C4—21no—
1748C2×C4—21no—
1749C2×C4—21no—
1750C2×C4—42no—
1751C2×C4—42no—
1752C2×C4—111no—
1753C2×C4—111no—
1754C2×C4—111no—
1755C2×C4—111no—
1756C2×C4—111no—
1757C2×C4—224no—
1758C2×C4—221no—
1759C2×C4—221no—
1760C2×C4—221no—
1761C2×C4—221no—
1762C2×C4—221no—
1763C2×C4—221no—
1764C2×C4—221no—
1765C2×C4—221no—
1766C2×C4—221no—
1767C2×C4—221no—
1768C2×C4—221no—
1769C2×C4—221no—
1770C2×C4—441no—
1771C2×C4—441no—
1772C2×C4—442no—
1773C2×C4—442no—
1774C2×C4—442no—
1775C2×C4—441no—
1776C2×C4—442no—
1777C2×C4—442no—
1778C2×C4—442no—
1779C2×C4—442no—
1780C2×C4—881no—
1781C2×C4—881no—
1782C2×C4—881no—
1783C2×C4—881no—
1784C2×C4—881no—
1785C2×C4—881no—
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—221no—
1813C22—221no—
1814C22—221no—
1815C22—221no—
1816C22—221no—
1817C22—221no—
1818C22—221no—
1819C22—221no—
1820C22—221no—
1821C22—441no—
1822C22—441no—
1823C22—441no—
1824C22—441no—
1825C22—441no—
1826C22—441no—
1827C22—882no—
1828C22—884no—
1829C22C22×D4×D1111yescharacteristic
1830C4—21no—
1831C4—21no—
1832C4—21no—
1833C4—22no—
1834C4—21no—
1835C4—41no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—221no—
1841C4—221no—
1842C4—221no—
1843C4—221no—
1844C4—222no—
1845C4—221no—
1846C4—441no—
1847C4—441no—
1848C4—441no—
1849C4—441no—
1850C4—441no—
1851C4C2×#6704211yescharacteristic
1852C4D11×H(5,𝔽2)11yescharacteristic
1853C2—41no—
1854C2—41no—
1855C2—81no—
1856C2—81no—
1857C2—441no—
1858C2—441no—
1859C2—441no—
1860C2—881no—
1861C2—881no—
1862C2#1308224611yescharacteristic
1863C2#1308338511yescharacteristic
1864C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3304C2
socleC22×C11C23×D4
hypercenter#3304D11
hypocenterC11#61615
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3304

Complements

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

NH ≅ G/Ntype
1. #13082916C2semidirect
2. #13082269C2semidirect
3. #13080953C2semidirect
4. #13080867C2semidirect
5. #13080740C2semidirect
6. #13080724C2semidirect
7. #13080676C2semidirect
8. #13080618C2semidirect
9. #13080504C2semidirect
10. #13080359C2semidirect
11. #13080343C2semidirect
12. #13080275C2semidirect
13. #13080272C2semidirect
14. #13080197C2semidirect
15. #13080196C2semidirect
16. #13080183C2semidirect
17. #13080164C2semidirect
18. #13079713C2semidirect
19. #13079687C2semidirect
20. #13079490C2semidirect
21. #13079471C2semidirect
22. #13079456C2semidirect
23. #13079392C2semidirect
24. #13078913C2semidirect
25. #13078852C2semidirect
26. #13077935C2semidirect
27. #13077914C2semidirect
28. #13077873C2semidirect
29. #13077836C2semidirect
30. #13077658C2semidirect
31. C11×#3304C2semidirect
34. C11×#556C22semidirect
38. C2×#67004C22semidirect
41. C2×#66971C22semidirect
42. C2×#66969C22semidirect
44. C22×Dic44C22semidirect
47. #10623261C22semidirect
58. #10623163C22semidirect
59. #10623162C22semidirect
74. #10623107C22semidirect
78. #10623083C22semidirect
81. #10623061C22semidirect
82. #10623060C22semidirect
85. C11×#486C22semidirect
86. C11×#482C22semidirect
87. C11×#482C22semidirect
88. C11×#475C22semidirect
89. C11×#465C22semidirect
90. C11×#465C22semidirect
91. C11×#460C22semidirect
93. C11×#452C22semidirect
94. C4×C11×Q16C22semidirect
95. C8×D4×C11C22semidirect
97. C11×#416C22semidirect
99. #10622851C22semidirect
101. #10622795C22semidirect
102. #10622788C22semidirect
104. #10622785C22semidirect
105. #10622783C22semidirect
107. #10622780C22semidirect
108. #10622729C22semidirect
109. #10622728C22semidirect
110. #10622724C22semidirect
112. C8×C22⋊D11C22semidirect
114. #10622704C22semidirect
115. #10622702C22semidirect
116. #10622688C22semidirect
117. #10622687C22semidirect
118. #10622664C22semidirect
119. #10622663C22semidirect
120. #10622662C22semidirect
122. #10622654C22semidirect
123. #10622653C22semidirect
124. #10622652C22semidirect
125. #10622650C22semidirect
126. #10622643C22semidirect
127. #10622643C22semidirect
128. #10622641C22semidirect
129. #10622641C22semidirect
130. #10622624C22semidirect
131. #10622617C22semidirect
132. #10622616C22semidirect
134. #10622609C22semidirect
136. #10622499C22semidirect
137. #10622499C22semidirect
138. #10622490C22semidirect
139. #10622481C22semidirect
142. #10622477C22semidirect
143. #10622476C22semidirect
144. #10622475C22semidirect
145. #10622466C22semidirect
146. #10622465C22semidirect
147. #10622458C22semidirect
148. #10622458C22semidirect
150. #10622449C22semidirect
151. #10622430C22semidirect
154. #10622424C22semidirect
158. #10622421C22semidirect
159. #10622421C22semidirect
160. #10622421C22semidirect
163. D11×#103C22semidirect
164. #10622409C22semidirect
165. #10622406C22semidirect
166. #10622403C22semidirect
167. #10622400C22semidirect
168. #10622399C22semidirect
172. #10622396C22semidirect
173. #10622396C22semidirect
174. #10622395C22semidirect
177. #10622393C22semidirect
178. #10622393C22semidirect
179. #10622391C22semidirect
182. #10622387C22semidirect
183. #10622387C22semidirect
186. #10622384C22semidirect
187. #10622381C22semidirect
188. #10622380C22semidirect
189. #10622377C22semidirect
190. #10622375C22semidirect
191. #10622351C22semidirect
192. #10622351C22semidirect
194. #10622346C22semidirect
195. #10622343C22semidirect
196. #10622342C22semidirect
199. C4×Dic44C22semidirect
200. #10622309C22semidirect
202. #10622301C22semidirect
744. #3304D11semidirect
911. #556C2×D11semidirect
959. #486C2×D11semidirect
967. #482C2×D11semidirect
968. #482C2×D11semidirect
975. #475C2×D11semidirect
990. #465C2×D11semidirect
991. #465C2×D11semidirect
1002. #460C2×D11semidirect
1016. #452C2×D11semidirect
1046. C4×Q16C2×D11semidirect
1055. C8×D4C2×D11semidirect
1064. #416C2×D11semidirect
1667. C11#61615semidirect

Maximal subgroups

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

subgroupindex
#130829162
#130822692
#130809532
#130808672
#130807402
#130807242
#130806762
#130806182
#130805042
#130803592
#130803432
#130802752
#130802722
#130801972
#130801962
#130801832
#130801642
#130797132
#130796872
#130794902
#130794712
#130794562
#130793922
#130789132
#130788522
#130779352
#130779142
#130778732
#130778362
#130776582
C11×#33042
#6161511