Finite Group Databasebeta

← #15639256

Subgroups — #15639256

Order 2816.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1902 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082456C211yesmaximal, characteristic, complemented
2#13082103C211yesmaximal, characteristic, complemented
3#13080887C211yesmaximal, characteristic, complemented
4#13080833C211yesmaximal, characteristic, complemented
5#13080786C211yesmaximal, characteristic, complemented
6#13080754C211yesmaximal, characteristic, complemented
7#13080736C211yesmaximal, characteristic, complemented
8#13080521C211yesmaximal, characteristic, complemented
9#13080467C211yesmaximal, characteristic, complemented
10#13080360C211yesmaximal, characteristic, complemented
11#13080321C211yesmaximal, characteristic, complemented
12#13080244C211yesmaximal, characteristic, complemented
13#13080220C211yesmaximal, characteristic, complemented
14#13080192C211yesmaximal, characteristic, complemented
15#13080161C211yesmaximal, characteristic, complemented
16#13080142C211yesmaximal, characteristic, complemented
17#13080113C211yesmaximal, characteristic, complemented
18#13079656C211yesmaximal, characteristic, complemented
19#13079597C211yesmaximal, characteristic, complemented
20#13079460C211yesmaximal, characteristic, complemented
21#13079447C211yesmaximal, characteristic, complemented
22#13079410C211yesmaximal, characteristic, complemented
23#13079386C211yesmaximal, characteristic, complemented
24#13078729C211yesmaximal, characteristic, complemented
25#13078639C211yesmaximal, characteristic, complemented
26#13077869C211yesmaximal, characteristic, complemented
27#13077859C211yesmaximal, characteristic, complemented
28#13077836C211yesmaximal, characteristic, complemented
29D11×#452C211yesmaximal, characteristic, complemented
30#13077646C211yesmaximal, characteristic, complemented
31C11×#3315C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic
33C2×#41×D11C2211yescharacteristic, complemented
34C11×#552C2211yescharacteristic, complemented
35C11×#547C2211yescharacteristic
36#10623360C2211yescharacteristic
37#10623360C2211yescharacteristic, complemented
38C2×#67003C2211yescharacteristic, complemented
39C2×#67002C2211yescharacteristic, complemented
40C2×#66971C2211yescharacteristic, complemented
41C2×Q16×D11C2211yescharacteristic, complemented
42C2×#66967C2211yescharacteristic, complemented
43C2×SD16×D11C2211yescharacteristic, complemented
44C2×#66961C2211yescharacteristic, complemented
45C2×#66957C2211yescharacteristic, complemented
46#10623258C2211yescharacteristic, complemented
47#10623256C2211yescharacteristic, complemented
48#10623240—21no—
49#10623235—21no—
50#10623226—21no—
51#10623226C2211yescharacteristic
52#10623223—21no—
53#10623222C2211yescharacteristic, complemented
54#10623189—21no—
55#10623187—21no—
56#10623187—21no—
57#10623185—21no—
58#10623185—21no—
59#10623184—21no—
60#10623164C2211yescharacteristic
61#10623164C2211yescharacteristic, complemented
62#10623164C2211yescharacteristic, complemented
63#10623161C2211yescharacteristic, complemented
64#10623158C2211yescharacteristic
65#10623158C2211yescharacteristic, complemented
66#10623158C2211yescharacteristic, complemented
67D11×C22⋊Q8C2211yescharacteristic, complemented
68#10623140—21no—
69#10623127—21no—
70#10623111C2211yescharacteristic, complemented
71#10623107C2211yescharacteristic
72#10623084C2211yescharacteristic
73#10623081C2211yescharacteristic, complemented
74D4×D44C2211yescharacteristic, complemented
75C4×D4×D11C2211yescharacteristic
76C4×#4341C2211yescharacteristic, complemented
77#10623061C2211yescharacteristic, complemented
78#10623058—21no—
79#10623055C2211yescharacteristic, complemented
80#10623052—21no—
81#10623044C2211yescharacteristic, complemented
82#10623038—21no—
83C2×#66948C2211yescharacteristic, complemented
84C2×#66946—21no—
85C11×#491C2211yescharacteristic, complemented
86C11×#485C2211yescharacteristic, complemented
87C11×#484C2211yescharacteristic, complemented
88C11×#478C2211yescharacteristic, complemented
89C11×#470C2211yescharacteristic, complemented
90C11×#467C2211yescharacteristic, complemented
91C11×#462C2211yescharacteristic, complemented
92C11×#452C2211yescharacteristic, complemented
93C11×#452C2211yescharacteristic, complemented
94C11×#440C2211yescharacteristic, complemented
95C11×#435C2211yescharacteristic, complemented
96C11×#417C2211yescharacteristic, complemented
97C11×#416C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic, complemented
99#10622851C2211yescharacteristic, complemented
100#10622804C2211yescharacteristic, complemented
101#10622804C2211yescharacteristic, complemented
102#10622800C2211yescharacteristic, complemented
103#10622800C2211yescharacteristic, complemented
104#10622800C2211yescharacteristic, complemented
105#10622799C2211yescharacteristic, complemented
106#10622786C2211yescharacteristic, complemented
107#10622778C2211yescharacteristic, complemented
108#10622747C2211yescharacteristic, complemented
109#10622741C2211yescharacteristic, complemented
110#10622739C2211yescharacteristic, complemented
111#10622728C2211yescharacteristic, complemented
112C8×C22⋊D11C2211yescharacteristic, complemented
113C2×(C2×D11)⋊C8C2211yescharacteristic, complemented
114#10622699C2211yescharacteristic, complemented
115#10622696C2211yescharacteristic, complemented
116#10622680C2211yescharacteristic, complemented
117#10622676C2211yescharacteristic, complemented
118#10622665C2211yescharacteristic, complemented
119#10622662C2211yescharacteristic, complemented
120#10622661C2211yescharacteristic, complemented
121#10622661C2211yescharacteristic, complemented
122#10622660C2211yescharacteristic, complemented
123#10622660C2211yescharacteristic, complemented
124#10622660C2211yescharacteristic, complemented
125#10622659C2211yescharacteristic, complemented
126#10622643C2211yescharacteristic, complemented
127#10622640C2211yescharacteristic, complemented
128#10622629C2211yescharacteristic, complemented
129#10622627C2211yescharacteristic, complemented
130#10622624C2211yescharacteristic, complemented
131#10622616C2211yescharacteristic, complemented
132#10622615C2211yescharacteristic, complemented
133#10622581C2211yescharacteristic, complemented
134#10622579C2211yescharacteristic, complemented
135#10622499C2211yescharacteristic, complemented
136#10622498C2211yescharacteristic, complemented
137#10622498C2211yescharacteristic, complemented
138#10622498C2211yescharacteristic, complemented
139#10622496C2211yescharacteristic, complemented
140#10622496C2211yescharacteristic, complemented
141#10622490C2211yescharacteristic, complemented
142#10622486C2211yescharacteristic, complemented
143#10622480C2211yescharacteristic, complemented
144#10622478C2211yescharacteristic, complemented
145#10622476C2211yescharacteristic, complemented
146#10622465C2211yescharacteristic, complemented
147#10622458C2211yescharacteristic, complemented
148#10622456C2211yescharacteristic, complemented
149#10622449C2211yescharacteristic, complemented
150#10622446C2211yescharacteristic, complemented
151#10622432C2211yescharacteristic, complemented
152#10622432C2211yescharacteristic, complemented
153#10622429C2211yescharacteristic, complemented
154#10622427C2211yescharacteristic, complemented
155#10622427C2211yescharacteristic, complemented
156#10622425C2211yescharacteristic, complemented
157#10622424C2211yescharacteristic, complemented
158#10622424C2211yescharacteristic, complemented
159#10622424C2211yescharacteristic, complemented
160#10622424C2211yescharacteristic, complemented
161#10622424C2211yescharacteristic, complemented
162#10622423C2211yescharacteristic, complemented
163#10622423C2211yescharacteristic, complemented
164#10622422C2211yescharacteristic, complemented
165#10622421C2211yescharacteristic, complemented
166#10622420C2211yescharacteristic, complemented
167#10622420C2211yescharacteristic, complemented
168#10622419C2211yescharacteristic, complemented
169#10622419C2211yescharacteristic, complemented
170#10622419C2211yescharacteristic, complemented
171#10622419C2211yescharacteristic, complemented
172#10622415C2211yescharacteristic, complemented
173D11×#103C2211yescharacteristic, complemented
174#10622413C2211yescharacteristic, complemented
175#10622413C2211yescharacteristic, complemented
176#10622411C2211yescharacteristic, complemented
177#10622411C2211yescharacteristic, complemented
178#10622411C2211yescharacteristic, complemented
179#10622396C2211yescharacteristic, complemented
180#10622394C2211yescharacteristic
181#10622394C2211yescharacteristic
182#10622389C2211yescharacteristic, complemented
183#10622386C2211yescharacteristic, complemented
184#10622386C2211yescharacteristic, complemented
185#10622386C2211yescharacteristic, complemented
186#10622383C2211yescharacteristic, complemented
187D11×#102C2211yescharacteristic, complemented
188#10622379C2211yescharacteristic, complemented
189#10622371C2211yescharacteristic, complemented
190#10622369C2211yescharacteristic, complemented
191#10622347C2211yescharacteristic, complemented
192#10622347C2211yescharacteristic, complemented
193#10622346C2211yescharacteristic, complemented
194#10622345C2211yescharacteristic, complemented
195#10622342C2211yescharacteristic, complemented
196#10622339C2211yescharacteristic, complemented
197(C22⋊D11)⋊C8C2211yescharacteristic, complemented
198D11×C22⋊C8C2211yescharacteristic, complemented
199#10622325C2211yescharacteristic, complemented
200#10622323C2211yescharacteristic, complemented
201#10622319C2211yescharacteristic, complemented
202#10622318C2211yescharacteristic, complemented
203C2×C11×#41C2311yescharacteristic
204C2×C11×#41C2311yescharacteristic
205#41×D11—42no—
206#41×D11—42no—
207#41×D11—42no—
208#41×D11—42no—
209C2×#4343C2311yescharacteristic
210C2×#4343C2311yescharacteristic
211C2×#4343C2311yescharacteristic
212C2×Q8×D11C2311yescharacteristic
213C2×Q8×D11C2311yescharacteristic
214C2×Q8×D11C2311yescharacteristic
215C2×#4341—21no—
216C2×#4341—21no—
217C2×#4341C2311yescharacteristic
218C2×D4×D11—21no—
219C2×D4×D11—21no—
220C2×D4×D11D411yescharacteristic
221C2×D4×D11C2311yescharacteristic
222C2×D4×D11C2311yescharacteristic
223C2×#4339—21no—
224C2×#4339—21no—
225C2×#4339C2311yescharacteristic
226C2×#4339C2311yescharacteristic
227C2×#4339C2311yescharacteristic
228C22×D44—21no—
229C22×D44—21no—
230C22×D44C2311yescharacteristic
231C22×C4×D11—21no—
232C22×C4×D11—21no—
233C22×C4×D11C2311yescharacteristic
234C22×C4×D11C2311yescharacteristic
235C2×C11×Q16C2311yescharacteristic
236C2×C11×Q16C2311yescharacteristic
237C2×C11×SD16C2311yescharacteristic
238C2×C11×M16C2311yescharacteristic
239C22×C8×C11C2311yescharacteristic
240C11×C4⋊Q8C2311yescharacteristic
241C11×#126—21no—
242C11×#125—21no—
243C11×#125C2311yescharacteristic
244C11×#123—21no—
245C11×#123—21no—
246C11×#123—21no—
247C11×C22⋊Q8C2311yescharacteristic
248C11×C22⋊Q8C2311yescharacteristic
249C11×C22⋊Q8C2311yescharacteristic
250C11×C22⋊Q8C2311yescharacteristic
251C11×#121—21no—
252C4×Q8×C11C2311yescharacteristic
253C4×D4×C11C2311yescharacteristic
254C4×D4×C11C2311yescharacteristic
255C11×#117—21no—
256C11×#117C2311yescharacteristic
257C2×C11×C4⋊C4—21no—
258C2×C11×C4⋊C4C2311yescharacteristic
259#67003—42no—
260#67002—42no—
261#67000C2311yescharacteristic
262#67000C2311yescharacteristic
263#67000C2311yescharacteristic
264#66999C2311yescharacteristic
265#66999C2311yescharacteristic
266#66999C2311yescharacteristic
267C2×#4326C2311yescharacteristic
268C2×#4326C2311yescharacteristic
269C2×#4326C2311yescharacteristic
270C2×#4325C2311yescharacteristic
271C2×#4325C2311yescharacteristic
272C2×#4325C2311yescharacteristic
273C2×#4325C2311yescharacteristic
274C2×#4325C2311yescharacteristic
275C2×#4325C2311yescharacteristic
276#66993—21no—
277#66992—21no—
278#66992—21no—
279#66990—21no—
280#66990—21no—
281#66990—21no—
282D4×Dic11D411yescharacteristic
283D4×Dic11C2311yescharacteristic
284C2×#4324C2311yescharacteristic
285C2×#4323C2311yescharacteristic
286C2×#4323C2311yescharacteristic
287#66983—21no—
288#66983C2311yescharacteristic
289#66983C2311yescharacteristic
290#66983C2311yescharacteristic
291#66982—21no—
292#66982—21no—
293#66982—21no—
294C4×C22⋊D11—21no—
295C4×C22⋊D11C2311yescharacteristic
296C4×C22⋊D11C2311yescharacteristic
297C2×(C2×D11)⋊C4—21no—
298C2×(C2×D11)⋊C4—21no—
299C2×(C2×D11)⋊C4—21no—
300#66979—21no—
301#66977C2311yescharacteristic
302C2×C4×Dic11—21no—
303C2×#4318C2311yescharacteristic
304C22×C11⋊C8C2311yescharacteristic
305#66971—42no—
306Q16×D11—42no—
307#66967—42no—
308SD16×D11—42no—
309#66961—42no—
310C2×Dic44C2311yescharacteristic
311#66957—42no—
312C2×D88C2311yescharacteristic
313C2×D88C2311yescharacteristic
314C2×D88C2311yescharacteristic
315C2×D88C2311yescharacteristic
316C2×#4314C2311yescharacteristic
317C2×#4314C2311yescharacteristic
318C2×#4314C2311yescharacteristic
319C2×#4314C2311yescharacteristic
320C2×#4313C2311yescharacteristic
321C2×#4313C2311yescharacteristic
322C2×C8×D11C2311yescharacteristic
323C2×C8×D11C2311yescharacteristic
324#66951—21no—
325#66951—21no—
326#66951—21no—
327#66951—21no—
328#66950—21no—
329#66950C2311yescharacteristic
330#66950C2311yescharacteristic
331#66949—21no—
332#66949—21no—
333#66949—21no—
334#66949—21no—
335#66949—21no—
336#66949—21no—
337#66948—21no—
338#66948—21no—
339#66948—21no—
340#66948—21no—
341#66948—21no—
342#66948—21no—
343#66948—21no—
344#66948C2311yescharacteristic
345#66948C2311yescharacteristic
346#66948C2311yescharacteristic
347#66948C2311yescharacteristic
348#66948C2311yescharacteristic
349#66948C2311yescharacteristic
350#66948C2311yescharacteristic
351#66947—21no—
352#66947—21no—
353#66947—21no—
354#66947—21no—
355#66947—21no—
356#66947—21no—
357#66947—21no—
358#66947—21no—
359#66946—21no—
360#66946—21no—
361#66946—21no—
362#66946—21no—
363#66946—21no—
364#66946—21no—
365#66946—21no—
366#66946—21no—
367#66946—21no—
368#66946—21no—
369#66946—21no—
370#66946—21no—
371#66946D411yescharacteristic
372#66946C2311yescharacteristic
373#66945—21no—
374#66945C2311yescharacteristic
375#66945C2311yescharacteristic
376C4⋊C4×D11—21no—
377C4⋊C4×D11D411yescharacteristic
378C4⋊C4×D11C2311yescharacteristic
379#66943C2311yescharacteristic
380#66942—21no—
381#66941—21no—
382#66940C2311yescharacteristic
383#66940C2311yescharacteristic
384#66939—21no—
385#66938—21no—
386#66938—21no—
387#66938—21no—
388#66937—21no—
389#66937—21no—
390#66937—21no—
391#66937—21no—
392#66937—21no—
393#66937—21no—
394#66937—21no—
395#66936—21no—
396#66935—21no—
397#66935—21no—
398#66935—21no—
399#66935—21no—
400#66935—21no—
401#66935—21no—
402#66935—21no—
403(C22⋊D11)⋊C4—21no—
404(C22⋊D11)⋊C4—21no—
405(C22⋊D11)⋊C4—21no—
406(C22⋊D11)⋊C4—21no—
407(C22⋊D11)⋊C4D411yescharacteristic
408(C22⋊D11)⋊C4D411yescharacteristic
409C22⋊C4×D11—21no—
410C22⋊C4×D11—21no—
411C22⋊C4×D11—21no—
412C22⋊C4×D11D411yescharacteristic
413C22⋊C4×D11D411yescharacteristic
414#66931—21no—
415#66930—21no—
416#66929—21no—
417#66928—21no—
418#66928C2311yescharacteristic
419#66927C2311yescharacteristic
420C4×D44—21no—
421C4×D44—21no—
422C4×D44—21no—
423C4×D44—21no—
424C4×D44—21no—
425C4×D44C2311yescharacteristic
426C4×D44C2311yescharacteristic
427#66925—21no—
428C42×D11C2311yescharacteristic
429C4×Dic22C2311yescharacteristic
430C11×#107C2311yescharacteristic
431C11×#107C2311yescharacteristic
432C11×#106C2311yescharacteristic
433C11×C4⋊C8C2311yescharacteristic
434C11×#103C2311yescharacteristic
435C11×#103C2311yescharacteristic
436C11×#103C2311yescharacteristic
437C11×#103C2311yescharacteristic
438C11×#103C2311yescharacteristic
439C11×#103C2311yescharacteristic
440C11×#103C2311yescharacteristic
441C11×#102C2311yescharacteristic
442C11×#102C2311yescharacteristic
443C11×#102C2311yescharacteristic
444C11×C22⋊C8C2311yescharacteristic
445C11×C22⋊C8C2311yescharacteristic
446C11×#97C2311yescharacteristic
447#66899C2311yescharacteristic
448#66899C2311yescharacteristic
449#66899C2311yescharacteristic
450#66896C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453#66885C2311yescharacteristic
454#66885C2311yescharacteristic
455#66885C2311yescharacteristic
456#66885C2311yescharacteristic
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(C2×D11)⋊C8C2311yescharacteristic
464(C2×D11)⋊C8C2311yescharacteristic
465#66882C2311yescharacteristic
466#66880C2311yescharacteristic
467#66880C2311yescharacteristic
468Dic11⋊C8C2311yescharacteristic
469Dic11⋊C8C2311yescharacteristic
470C8×Dic11C2311yescharacteristic
471C8×Dic11C2311yescharacteristic
472#66874C2311yescharacteristic
473#66874C2311yescharacteristic
474#66874C2311yescharacteristic
475#66874C2311yescharacteristic
476#66873C2311yescharacteristic
477#66873C2311yescharacteristic
478#66873C2311yescharacteristic
479#66873C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66872C2311yescharacteristic
486#66872C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489#66867C2311yescharacteristic
490#61606—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11—21no—
493C23×D11—21no—
494C23×D11C2×D411yescharacteristic
495C23×D11C2×D411yescharacteristic
496C11×#41—22no—
497C11×#41—22no—
498C11×#41—41no—
499C11×#41—41no—
500C2×Q8×C11C2411yescharacteristic
501C2×Q8×C11C2411yescharacteristic
502C2×Q8×C11C2411yescharacteristic
503C2×D4×C11—21no—
504C2×D4×C11—21no—
505C2×D4×C11C2×D411yescharacteristic
506C2×D4×C11C2411yescharacteristic
507C22×C4×C11—21no—
508C22×C4×C11—21no—
509C22×C4×C11—21no—
510C22×C4×C11—21no—
511C22×C4×C11C2411yescharacteristic
512C22×C4×C11C2411yescharacteristic
513C2×C22⋊D11—21no—
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11—21no—
519C2×C22⋊D11—21no—
520C2×C22⋊D11—21no—
521C2×C22⋊D11—21no—
522C2×C22⋊D11C2×D411yescharacteristic
523C2×C22⋊D11C2×D411yescharacteristic
524C22×Dic11—21no—
525C22×Dic11—21no—
526C22×Dic11C2×D411yescharacteristic
527C22×Dic11C2×D411yescharacteristic
528#4343—41no—
529#4343—41no—
530#4343—41no—
531#4343—41no—
532#4343—41no—
533#4343—41no—
534Q8×D11—22no—
535Q8×D11—22no—
536Q8×D11—41no—
537Q8×D11—41no—
538Q8×D11—41no—
539Q8×D11—41no—
540#4341—22no—
541#4341—22no—
542#4341—44no—
543#4341—44no—
544D4×D11—22no—
545D4×D11—22no—
546D4×D11—41no—
547D4×D11—41no—
548D4×D11—42no—
549D4×D11—44no—
550D4×D11—44no—
551#4339—22no—
552#4339—22no—
553#4339—41no—
554#4339—41no—
555#4339—41no—
556#4339—41no—
557#4339—44no—
558#4339—44no—
559C2×D44—21no—
560C2×D44—21no—
561C2×D44—21no—
562C2×D44—21no—
563C2×D44—21no—
564C2×D44—21no—
565C2×D44—21no—
566C2×D44—21no—
567C2×D44—21no—
568C2×D44—21no—
569C2×D44—21no—
570C2×D44—21no—
571C2×D44—21no—
572C2×D44—41no—
573C2×D44—41no—
574C2×D44—44no—
575C2×D44—44no—
576C2×D44C2×D411yescharacteristic
577C2×D44C2411yescharacteristic
578C2×D44C2411yescharacteristic
579C2×D44C2411yescharacteristic
580C2×D44C2411yescharacteristic
581C2×C4×D11—21no—
582C2×C4×D11—21no—
583C2×C4×D11—21no—
584C2×C4×D11—21no—
585C2×C4×D11—21no—
586C2×C4×D11—21no—
587C2×C4×D11—21no—
588C2×C4×D11—21no—
589C2×C4×D11—21no—
590C2×C4×D11—21no—
591C2×C4×D11—21no—
592C2×C4×D11—21no—
593C2×C4×D11—41no—
594C2×C4×D11—41no—
595C2×C4×D11—41no—
596C2×C4×D11—41no—
597C2×C4×D11—44no—
598C2×C4×D11—44no—
599C2×C4×D11C2×D411yescharacteristic
600C2×C4×D11C2×D411yescharacteristic
601C2×C4×D11C2×D411yescharacteristic
602C2×C4×D11C2×D411yescharacteristic
603C2×C4×D11C2×D411yescharacteristic
604C2×C4×D11C2×D411yescharacteristic
605C2×C4×D11C2411yescharacteristic
606C2×C4×D11C2411yescharacteristic
607C2×C4×D11C2411yescharacteristic
608C2×Dic22—21no—
609C2×Dic22—21no—
610C2×Dic22—21no—
611C2×Dic22C2411yescharacteristic
612C2×Dic22C2411yescharacteristic
613C11×Q16—41no—
614C11×Q16—41no—
615C11×SD16—22no—
616C11×M16—41no—
617C2×C8×C11—41no—
618C2×C8×C11C2411yescharacteristic
619C2×C8×C11C2411yescharacteristic
620C2×C8×C11C2411yescharacteristic
621C2×C8×C11C2411yescharacteristic
622C11×C4⋊C4—21no—
623C11×C4⋊C4—21no—
624C11×C4⋊C4—21no—
625C11×C4⋊C4—21no—
626C11×C4⋊C4—21no—
627C11×C4⋊C4—21no—
628C11×C4⋊C4—21no—
629C11×C4⋊C4—21no—
630C11×C4⋊C4—21no—
631C11×C4⋊C4—21no—
632C11×C4⋊C4C2×D411yescharacteristic
633C11×C4⋊C4C2411yescharacteristic
634C11×C4⋊C4C2411yescharacteristic
635C11×C4⋊C4C2411yescharacteristic
636C11×C4⋊C4C2411yescharacteristic
637C11×C22⋊C4—21no—
638C11×C22⋊C4—21no—
639C11×C22⋊C4—21no—
640C11×C22⋊C4—21no—
641C11×C22⋊C4—21no—
642C11×C22⋊C4—21no—
643C11×C22⋊C4C2×D411yescharacteristic
644C11×C22⋊C4C2×D411yescharacteristic
645C42×C11—21no—
646C42×C11—21no—
647C42×C11C2411yescharacteristic
648C22⋊Dic11—21no—
649C22⋊Dic11—21no—
650C22⋊Dic11C2×D411yescharacteristic
651C22⋊Dic11C2×D411yescharacteristic
652#4326—22no—
653#4326—41no—
654#4326—41no—
655#4325—41no—
656#4325—41no—
657#4325—41no—
658#4325—41no—
659#4325—41no—
660#4325—41no—
661#4324—22no—
662#4323—22no—
663#4323—22no—
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)⋊C4—21no—
678(C2×D11)⋊C4—21no—
679(C2×D11)⋊C4—21no—
680(C2×D11)⋊C4—21no—
681(C2×D11)⋊C4—21no—
682(C2×D11)⋊C4—21no—
683(C2×D11)⋊C4—21no—
684(C2×D11)⋊C4—21no—
685(C2×D11)⋊C4—21no—
686(C2×D11)⋊C4—21no—
687(C2×D11)⋊C4—21no—
688(C2×D11)⋊C4—21no—
689(C2×D11)⋊C4—21no—
690(C2×D11)⋊C4—21no—
691(C2×D11)⋊C4C2×D411yescharacteristic
692(C2×D11)⋊C4C2×D411yescharacteristic
693(C2×D11)⋊C4C2×D411yescharacteristic
694(C2×D11)⋊C4C2×D411yescharacteristic
695C4⋊Dic11—21no—
696C4⋊Dic11—21no—
697C4⋊Dic11—21no—
698C4⋊Dic11C2×D411yescharacteristic
699C4⋊Dic11C2411yescharacteristic
700C4⋊Dic11C2411yescharacteristic
701Dic11⋊C4—21no—
702Dic11⋊C4—21no—
703Dic11⋊C4—21no—
704Dic11⋊C4—21no—
705Dic11⋊C4—21no—
706Dic11⋊C4—21no—
707Dic11⋊C4—21no—
708Dic11⋊C4—21no—
709Dic11⋊C4—21no—
710Dic11⋊C4C2×D411yescharacteristic
711Dic11⋊C4C2×D411yescharacteristic
712C4×Dic11—21no—
713C4×Dic11—21no—
714C4×Dic11—21no—
715C4×Dic11—21no—
716C4×Dic11—21no—
717C4×Dic11C2×D411yescharacteristic
718C4×Dic11C2×D411yescharacteristic
719C4×Dic11C2411yescharacteristic
720#4318—41no—
721C2×C11⋊C8—41no—
722C2×C11⋊C8C2411yescharacteristic
723C2×C11⋊C8C2411yescharacteristic
724C2×C11⋊C8C2411yescharacteristic
725C2×C11⋊C8C2411yescharacteristic
726Dic44—22no—
727D88—41no—
728D88—41no—
729D88—41no—
730D88—41no—
731#4314—22no—
732#4314—22no—
733#4314—41no—
734#4314—41no—
735#4313—41no—
736#4313—41no—
737C8×D11—41no—
738C8×D11—41no—
739#3505—111no—
740D4×#41—111no—
741#3327—111no—
742#3323—111no—
743#3320—111no—
744#3318—111no—
745#3317—111no—
746#3315D1111yescharacteristic, complemented
747#3301—111no—
748#3297—111no—
749#3285—111no—
750#3282—111no—
751#3275—111no—
752#3273—111no—
753#3270—111no—
754#3268—111no—
755#3267—111no—
756#3265—111no—
757#3219—111no—
758#3212—111no—
759#3197—111no—
760#3196—111no—
761#3191—111no—
762#3188—111no—
763#3111—111no—
764#3102—111no—
765#3006—111no—
766#3005—111no—
767#3002—111no—
768C2×#452—111no—
769#2974—111no—
770C23×C11—21no—
771C23×C11C22×D411yescharacteristic
772C23×C11C22×D411yescharacteristic
773C22×D11—22no—
774C22×D11—21no—
775C22×D11—21no—
776C22×D11—21no—
777C22×D11—21no—
778C22×D11—41no—
779C22×D11—41no—
780C22×D11—41no—
781C22×D11—41no—
782C22×D11—41no—
783C22×D11—42no—
784C22×D11—42no—
785C22×D11—42no—
786C22×D11—42no—
787C22×D11—42no—
788C22×D11—81no—
789C22×D11—81no—
790C22×D11—81no—
791C22×D11—81no—
792C22×D11C22×D411yescharacteristic
793C22×D11C22×D411yescharacteristic
794C22×D11C22×D411yescharacteristic
795Q8×C11—21no—
796Q8×C11—21no—
797Q8×C11—21no—
798Q8×C11—21no—
799Q8×C11—21no—
800Q8×C11—21no—
801D4×C11—21no—
802D4×C11—41no—
803D4×C11—42no—
804D4×C11—42no—
805D4×C11H(5,𝔽2)12yes—
806C2×C4×C11—21no—
807C2×C4×C11—21no—
808C2×C4×C11—21no—
809C2×C4×C11—21no—
810C2×C4×C11—21no—
811C2×C4×C11—21no—
812C2×C4×C11—21no—
813C2×C4×C11—21no—
814C2×C4×C11—21no—
815C2×C4×C11—21no—
816C2×C4×C11—21no—
817C2×C4×C11—42no—
818C2×C4×C11—42no—
819C2×C4×C11—42no—
820C2×C4×C11—42no—
821C2×C4×C11C22×D411yescharacteristic
822C2×C4×C11C22×D411yescharacteristic
823C2×C4×C11C22×D411yescharacteristic
824C2×C4×C11C22×D411yescharacteristic
825C2×C4×C11C2511yescharacteristic
826C22⋊D11—24no—
827C22⋊D11—22no—
828C22⋊D11—41no—
829C22⋊D11—42no—
830C22⋊D11—42no—
831C22⋊D11—42no—
832C22⋊D11—42no—
833C22⋊D11—81no—
834C22⋊D11—81no—
835C22⋊D11—81no—
836C22⋊D11—81no—
837C2×Dic11—24no—
838C2×Dic11—21no—
839C2×Dic11—21no—
840C2×Dic11—21no—
841C2×Dic11—21no—
842C2×Dic11—41no—
843C2×Dic11—41no—
844C2×Dic11—81no—
845C2×Dic11C22×D411yescharacteristic
846C2×Dic11C22×D411yescharacteristic
847C2×Dic11C22×D411yescharacteristic
848C2×Dic11C22×D411yescharacteristic
849C2×Dic11C22×D411yescharacteristic
850D44—22no—
851D44—21no—
852D44—21no—
853D44—21no—
854D44—21no—
855D44—21no—
856D44—21no—
857D44—21no—
858D44—21no—
859D44—42no—
860D44—42no—
861D44—42no—
862D44—42no—
863D44—42no—
864D44—42no—
865D44—42no—
866D44—42no—
867D44—42no—
868D44—81no—
869D44—81no—
870D44—81no—
871D44—81no—
872C4×D11—21no—
873C4×D11—21no—
874C4×D11—21no—
875C4×D11—21no—
876C4×D11—21no—
877C4×D11—21no—
878C4×D11—41no—
879C4×D11—41no—
880C4×D11—41no—
881C4×D11—41no—
882C4×D11—41no—
883C4×D11—41no—
884C4×D11—42no—
885C4×D11—42no—
886C4×D11—42no—
887C4×D11—42no—
888C4×D11—42no—
889C4×D11—42no—
890C4×D11—81no—
891C4×D11—81no—
892C4×D11—81no—
893C4×D11—81no—
894C4×D11—81no—
895C4×D11—81no—
896Dic22—21no—
897Dic22—21no—
898Dic22—21no—
899Dic22—42no—
900Dic22—42no—
901Dic22—81no—
902Dic22H(5,𝔽2)12yes—
903C8×C11—21no—
904C8×C11—21no—
905C8×C11—21no—
906C8×C11—21no—
907C11⋊C8—21no—
908C11⋊C8—21no—
909C11⋊C8—21no—
910C11⋊C8—21no—
911C22×#41—111no—
912C22×#41—111no—
913C2×#137—111no—
914C2×AGL(1,ℤ/8)—111no—
915C2×AGL(1,ℤ/8)—111no—
916C2×AGL(1,ℤ/8)—111no—
917C2×#135—111no—
918C2×#135—111no—
919C22×Q16—111no—
920C22×SD16—111no—
921#553—111no—
922#553—111no—
923#553—221no—
924#553—221no—
925#552—111no—
926#552C2×D1111yescharacteristic, complemented
927#551—221no—
928#551—221no—
929#550—111no—
930D4×Q8—111no—
931#548—111no—
932#548—111no—
933#548—111no—
934#548—111no—
935#547—221no—
936#547C2×D1111yescharacteristic
937#546—111no—
938#546—111no—
939#546—111no—
940#546—111no—
941#546—221no—
942#546—221no—
943D42—111no—
944D42—221no—
945#539—221no—
946#538—221no—
947#534—221no—
948#532—111no—
949#532—221no—
950#529—111no—
951#529—111no—
952#525—111no—
953#525—111no—
954#525—111no—
955#525—111no—
956#525—221no—
957#525—221no—
958C2×C22⋊Q8—111no—
959C2×#121—111no—
960#518—221no—
961C4×#41—111no—
962C2×C4×D4—111no—
963C2×C4×D4—221no—
964#497—111no—
965#496—111no—
966#495—111no—
967#495—111no—
968#491C2×D1111yescharacteristic, complemented
969#490—111no—
970#488—111no—
971#488—111no—
972#485—111no—
973#485—111no—
974#485—111no—
975#485C2×D1111yescharacteristic, complemented
976#484—111no—
977#484C2×D1111yescharacteristic, complemented
978#482—111no—
979#482—111no—
980#482—111no—
981#482—111no—
982#481—111no—
983#481—111no—
984#479—111no—
985#479—111no—
986#478—111no—
987#478C2×D1111yescharacteristic, complemented
988#470—111no—
989#470—111no—
990#470C2×D1111yescharacteristic, complemented
991#469—111no—
992#468—111no—
993#468—111no—
994#468—111no—
995#468—111no—
996#467C2×D1111yescharacteristic, complemented
997#466—111no—
998#466—111no—
999#466—111no—
1000#465—111no—
1001#465—111no—
1002#465—111no—
1003#465—111no—
1004#464—111no—
1005#464—111no—
1006#464—111no—
1007#464—111no—
1008#463—111no—
1009#463—111no—
1010#463—111no—
1011#463—111no—
1012#462C2×D1111yescharacteristic, complemented
1013#461—111no—
1014#460—111no—
1015#459—111no—
1016#452—111no—
1017#452—111no—
1018#452—111no—
1019#452—111no—
1020#452—111no—
1021#452—111no—
1022#452—111no—
1023#452—111no—
1024#452—111no—
1025#452—111no—
1026#452—111no—
1027#452—111no—
1028#452C2×D1111yescharacteristic, complemented
1029#452C2×D1111yescharacteristic, complemented
1030#451—111no—
1031#451—111no—
1032#450—111no—
1033#450—111no—
1034#449—111no—
1035#449—111no—
1036#449—111no—
1037#449—111no—
1038#449—111no—
1039#449—111no—
1040#449—111no—
1041#449—111no—
1042#449—111no—
1043#449—111no—
1044#448—111no—
1045#448—111no—
1046#448—111no—
1047#448—111no—
1048#447—111no—
1049#447—111no—
1050#447—111no—
1051#447—111no—
1052#442—111no—
1053#441—111no—
1054#440—111no—
1055#440C2×D1111yescharacteristic, complemented
1056C4×Q16—111no—
1057C4×SD16—111no—
1058C4×SD16—111no—
1059C4×D8—111no—
1060#436—111no—
1061#436—111no—
1062#435—111no—
1063#435—111no—
1064#435—111no—
1065#435C2×D1111yescharacteristic, complemented
1066C8×D4—111no—
1067C8×D4—111no—
1068#432—111no—
1069#431—111no—
1070#419—111no—
1071#418—111no—
1072#417—111no—
1073#417C2×D1111yescharacteristic, complemented
1074#416—111no—
1075#416C2×D1111yescharacteristic, complemented
1076C2×#103—111no—
1077C2×#102—111no—
1078#407—111no—
1079#407—111no—
1080C2×C22⋊C8—111no—
1081C2×C22⋊C8—111no—
1082C22×C11—21no—
1083C22×C11—21no—
1084C22×C11—21no—
1085C22×C11—21no—
1086C22×C11—22no—
1087C22×C11—21no—
1088C22×C11—21no—
1089C22×C11—41no—
1090C22×C11—41no—
1091C22×C11C23×D411yescharacteristic
1092C2×D11—21no—
1093C2×D11—21no—
1094C2×D11—21no—
1095C2×D11—21no—
1096C2×D11—21no—
1097C2×D11—21no—
1098C2×D11—21no—
1099C2×D11—21no—
1100C2×D11—41no—
1101C2×D11—41no—
1102C2×D11—41no—
1103C2×D11—41no—
1104C2×D11—41no—
1105C2×D11—41no—
1106C2×D11—41no—
1107C2×D11—41no—
1108C2×D11—41no—
1109C2×D11—41no—
1110C2×D11—41no—
1111C2×D11—41no—
1112C2×D11—82no—
1113C2×D11—84no—
1114C2×D11—82no—
1115C2×D11—84no—
1116C2×D11—162no—
1117C2×D11#57512yes—
1118C4×C11—21no—
1119C4×C11—21no—
1120C4×C11—21no—
1121C4×C11—21no—
1122C4×C11—41no—
1123C4×C11—41no—
1124C4×C11—41no—
1125C4×C11—41no—
1126C4×C11—41no—
1127C4×C11—41no—
1128C4×C11—41no—
1129C4×C11C2×H(5,𝔽2)11yescharacteristic
1130C4×C11C2×H(5,𝔽2)11yescharacteristic
1131Dic11—21no—
1132Dic11—22no—
1133Dic11—21no—
1134Dic11—21no—
1135Dic11—21no—
1136Dic11—21no—
1137Dic11—41no—
1138Dic11—41no—
1139Dic11—41no—
1140C2×#41—111no—
1141C2×#41—111no—
1142C2×#41—111no—
1143C2×#41—111no—
1144C2×#41—111no—
1145C2×#41—111no—
1146C2×#41—111no—
1147C2×#41—221no—
1148C2×#41—221no—
1149C2×#41—221no—
1150C2×#41—221no—
1151C2×#41—442no—
1152C2×#41—442no—
1153C2×#41—442no—
1154C2×#41—442no—
1155C2×#41C22×D1111yescharacteristic
1156C2×#41C22×D1111yescharacteristic
1157C22×Q8—111no—
1158C22×Q8—111no—
1159C22×Q8—111no—
1160C22×D4—111no—
1161C22×D4—111no—
1162C22×D4—111no—
1163C22×D4—111no—
1164C22×D4—221no—
1165C22×D4—221no—
1166C22×D4—221no—
1167C22×D4—221no—
1168C23×C4—111no—
1169C23×C4—111no—
1170C23×C4—221no—
1171C23×C4—221no—
1172#137—442no—
1173AGL(1,ℤ/8)—442no—
1174AGL(1,ℤ/8)—442no—
1175AGL(1,ℤ/8)—442no—
1176#135—442no—
1177#135—442no—
1178C2×Q16—111no—
1179C2×Q16—111no—
1180C2×Q16—111no—
1181C2×Q16—111no—
1182C2×Q16—442no—
1183C2×Q16C22×D1111yescharacteristic
1184C2×Q16C22×D1111yescharacteristic
1185C2×SD16—111no—
1186C2×SD16—111no—
1187C2×SD16—111no—
1188C2×SD16—111no—
1189C2×SD16—111no—
1190C2×SD16—111no—
1191C2×SD16—111no—
1192C2×SD16—111no—
1193C2×SD16—111no—
1194C2×SD16—111no—
1195C2×SD16—111no—
1196C2×SD16—442no—
1197C2×SD16C22×D1111yescharacteristic
1198C2×D8—111no—
1199C2×D8—111no—
1200C2×D8—111no—
1201C2×D8—111no—
1202C2×D8—111no—
1203C2×D8—111no—
1204C2×M16—111no—
1205C2×M16—111no—
1206C2×M16—111no—
1207C2×M16C22×D1111yescharacteristic
1208C22×C8—111no—
1209C22×C8—111no—
1210C22×C8—111no—
1211C22×C8C22×D1111yescharacteristic
1212C4⋊Q8—221no—
1213C4⋊Q8C22×D1111yescharacteristic
1214#127—111no—
1215#127—221no—
1216#126—21no—
1217#126—221no—
1218#126—221no—
1219#126—221no—
1220#126—221no—
1221#126—221no—
1222#125—21no—
1223#125—111no—
1224#125—221no—
1225#125C22×D1111yescharacteristic
1226#124—111no—
1227#124—111no—
1228#124—111no—
1229#124—111no—
1230#124—221no—
1231#124—221no—
1232#124—221no—
1233#124—221no—
1234#123—21no—
1235#123—21no—
1236#123—21no—
1237#123—221no—
1238#123—221no—
1239#123—221no—
1240#123—221no—
1241#123—221no—
1242#123—221no—
1243#123—221no—
1244#123—221no—
1245#123—221no—
1246#123—221no—
1247#123—221no—
1248#123—221no—
1249#123—221no—
1250C22⋊Q8—111no—
1251C22⋊Q8—111no—
1252C22⋊Q8—111no—
1253C22⋊Q8—111no—
1254C22⋊Q8—111no—
1255C22⋊Q8—111no—
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
1266C22⋊Q8C22×D1111yescharacteristic
1267C22⋊Q8C22×D1111yescharacteristic
1268#121—21no—
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—111no—
1278#121—111no—
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#120—221no—
1297#120—221no—
1298#120—221no—
1299#120—221no—
1300#120—221no—
1301#120—221no—
1302#120—221no—
1303#120—221no—
1304#120—221no—
1305#120—221no—
1306C4×Q8—111no—
1307C4×Q8—111no—
1308C4×Q8—111no—
1309C4×Q8C22×D1111yescharacteristic
1310C4×D4—111no—
1311C4×D4—111no—
1312C4×D4—111no—
1313C4×D4—111no—
1314C4×D4—111no—
1315C4×D4—111no—
1316C4×D4—111no—
1317C4×D4—111no—
1318C4×D4—111no—
1319C4×D4—111no—
1320C4×D4—221no—
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×D4—221no—
1338C4×D4—221no—
1339C4×D4—221no—
1340C4×D4—221no—
1341C4×D4—221no—
1342C4×D4C22×D1111yescharacteristic
1343C4×D4C22×D1111yescharacteristic
1344#117—21no—
1345#117—111no—
1346#117—111no—
1347#117—221no—
1348#117—221no—
1349#117—221no—
1350#117—221no—
1351#117C22×D1111yescharacteristic
1352C2×C4⋊C4—21no—
1353C2×C4⋊C4—111no—
1354C2×C4⋊C4—111no—
1355C2×C4⋊C4—221no—
1356C2×C4⋊C4C22×D1111yescharacteristic
1357C2×C22⋊C4—111no—
1358C2×C22⋊C4—111no—
1359C2×C22⋊C4—221no—
1360C2×C22⋊C4—221no—
1361C2×C22⋊C4—221no—
1362C2×C22⋊C4—221no—
1363C2×C22⋊C4—221no—
1364C2×C22⋊C4—221no—
1365C2×C42—111no—
1366C2×C42—221no—
1367#107—111no—
1368#107—111no—
1369#107C22×D1111yescharacteristic
1370#107C22×D1111yescharacteristic
1371#106—111no—
1372#106—111no—
1373#106—111no—
1374#106C22×D1111yescharacteristic
1375C4⋊C8—111no—
1376C4⋊C8—111no—
1377C4⋊C8—111no—
1378C4⋊C8C22×D1111yescharacteristic
1379#103—111no—
1380#103—111no—
1381#103—111no—
1382#103—111no—
1383#103—111no—
1384#103—111no—
1385#103—111no—
1386#103—111no—
1387#103—111no—
1388#103C22×D1111yescharacteristic
1389#103C22×D1111yescharacteristic
1390#103C22×D1111yescharacteristic
1391#103C22×D1111yescharacteristic
1392#103C22×D1111yescharacteristic
1393#103C22×D1111yescharacteristic
1394#103C22×D1111yescharacteristic
1395#102—111no—
1396#102—111no—
1397#102—111no—
1398#102—111no—
1399#102—111no—
1400#102—111no—
1401#102—111no—
1402#102—111no—
1403#102—111no—
1404#102—111no—
1405#102—111no—
1406#102—111no—
1407#102—111no—
1408#102C22×D1111yescharacteristic
1409#102C22×D1111yescharacteristic
1410#102C22×D1111yescharacteristic
1411C22⋊C8—111no—
1412C22⋊C8—111no—
1413C22⋊C8—111no—
1414C22⋊C8—111no—
1415C22⋊C8—111no—
1416C22⋊C8—111no—
1417C22⋊C8—111no—
1418C22⋊C8—111no—
1419C22⋊C8—111no—
1420C22⋊C8—111no—
1421C22⋊C8C22×D1111yescharacteristic
1422C22⋊C8C22×D1111yescharacteristic
1423#97—111no—
1424#97C22×D1111yescharacteristic
1425C4×C8—111no—
1426C4×C8—111no—
1427C2×C11—42no—
1428C2×C11—41no—
1429C2×C11—41no—
1430C2×C11#348411yescharacteristic
1431C2×C11C2×#57511yescharacteristic
1432C2×C11#358411yescharacteristic
1433D11—22no—
1434D11—41no—
1435D11—41no—
1436D11—81no—
1437D11—81no—
1438D11—81no—
1439D11—81no—
1440C24—111no—
1441C24—111no—
1442C24—221no—
1443C24—221no—
1444C24—221no—
1445#41—22no—
1446#41—22no—
1447#41—41no—
1448#41—41no—
1449#41—222no—
1450#41—222no—
1451#41—222no—
1452#41—222no—
1453#41—441no—
1454#41—441no—
1455#41—441no—
1456#41—441no—
1457#41—444no—
1458#41—444no—
1459#41—444no—
1460#41—444no—
1461#41—441no—
1462#41—441no—
1463#41—441no—
1464#41—441no—
1465#41—441no—
1466#41—441no—
1467C2×Q8—111no—
1468C2×Q8—111no—
1469C2×Q8—221no—
1470C2×Q8—221no—
1471C2×Q8—221no—
1472C2×Q8—222no—
1473C2×Q8—222no—
1474C2×Q8—441no—
1475C2×Q8—441no—
1476C2×Q8—441no—
1477C2×Q8—441no—
1478C2×Q8C23×D1111yescharacteristic
1479C2×Q8C23×D1111yescharacteristic
1480C2×Q8C23×D1111yescharacteristic
1481C2×D4—21no—
1482C2×D4—21no—
1483C2×D4—111no—
1484C2×D4—111no—
1485C2×D4—111no—
1486C2×D4—111no—
1487C2×D4—111no—
1488C2×D4—111no—
1489C2×D4—111no—
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—222no—
1504C2×D4—222no—
1505C2×D4—221no—
1506C2×D4—221no—
1507C2×D4—221no—
1508C2×D4—221no—
1509C2×D4—221no—
1510C2×D4—221no—
1511C2×D4—221no—
1512C2×D4—221no—
1513C2×D4—221no—
1514C2×D4—441no—
1515C2×D4—441no—
1516C2×D4—444no—
1517C2×D4—444no—
1518C2×D4—441no—
1519C2×D4—441no—
1520C2×D4—442no—
1521C2×D4—444no—
1522C2×D4—444no—
1523C2×D4D4×D1111yescharacteristic
1524C2×D4C23×D1111yescharacteristic
1525C22×C4—21no—
1526C22×C4—21no—
1527C22×C4—21no—
1528C22×C4—21no—
1529C22×C4—111no—
1530C22×C4—111no—
1531C22×C4—111no—
1532C22×C4—111no—
1533C22×C4—111no—
1534C22×C4—111no—
1535C22×C4—111no—
1536C22×C4—111no—
1537C22×C4—111no—
1538C22×C4—111no—
1539C22×C4—111no—
1540C22×C4—221no—
1541C22×C4—221no—
1542C22×C4—221no—
1543C22×C4—221no—
1544C22×C4—221no—
1545C22×C4—221no—
1546C22×C4—221no—
1547C22×C4—221no—
1548C22×C4—221no—
1549C22×C4—221no—
1550C22×C4—221no—
1551C22×C4—221no—
1552C22×C4—221no—
1553C22×C4—221no—
1554C22×C4—441no—
1555C22×C4—441no—
1556C22×C4—441no—
1557C22×C4—441no—
1558C22×C4—444no—
1559C22×C4—444no—
1560C22×C4C23×D1111yescharacteristic
1561C22×C4C23×D1111yescharacteristic
1562Q16—41no—
1563Q16—41no—
1564Q16—222no—
1565Q16—222no—
1566Q16—441no—
1567Q16—441no—
1568SD16—22no—
1569SD16—222no—
1570SD16—222no—
1571SD16—222no—
1572SD16—441no—
1573SD16—441no—
1574SD16—441no—
1575SD16—441no—
1576SD16—441no—
1577SD16—441no—
1578SD16—441no—
1579SD16—441no—
1580D8—222no—
1581D8—222no—
1582D8—441no—
1583D8—441no—
1584D8—441no—
1585D8—441no—
1586M16—41no—
1587M16—441no—
1588M16—441no—
1589M16—441no—
1590C2×C8—41no—
1591C2×C8—111no—
1592C2×C8—111no—
1593C2×C8—111no—
1594C2×C8—111no—
1595C2×C8—441no—
1596C2×C8—441no—
1597C2×C8—441no—
1598C2×C8C23×D1111yescharacteristic
1599C2×C8C23×D1111yescharacteristic
1600C2×C8C23×D1111yescharacteristic
1601C2×C8C23×D1111yescharacteristic
1602C4⋊C4—21no—
1603C4⋊C4—21no—
1604C4⋊C4—21no—
1605C4⋊C4—21no—
1606C4⋊C4—21no—
1607C4⋊C4—21no—
1608C4⋊C4—21no—
1609C4⋊C4—21no—
1610C4⋊C4—21no—
1611C4⋊C4—21no—
1612C4⋊C4—111no—
1613C4⋊C4—111no—
1614C4⋊C4—111no—
1615C4⋊C4—111no—
1616C4⋊C4—111no—
1617C4⋊C4—221no—
1618C4⋊C4—221no—
1619C4⋊C4—221no—
1620C4⋊C4—221no—
1621C4⋊C4—221no—
1622C4⋊C4—221no—
1623C4⋊C4—221no—
1624C4⋊C4—221no—
1625C4⋊C4—221no—
1626C4⋊C4—221no—
1627C4⋊C4—221no—
1628C4⋊C4—221no—
1629C4⋊C4D4×D1111yescharacteristic
1630C4⋊C4C23×D1111yescharacteristic
1631C4⋊C4C23×D1111yescharacteristic
1632C4⋊C4C23×D1111yescharacteristic
1633C4⋊C4C23×D1111yescharacteristic
1634C22⋊C4—21no—
1635C22⋊C4—21no—
1636C22⋊C4—21no—
1637C22⋊C4—21no—
1638C22⋊C4—21no—
1639C22⋊C4—21no—
1640C22⋊C4—111no—
1641C22⋊C4—111no—
1642C22⋊C4—111no—
1643C22⋊C4—111no—
1644C22⋊C4—111no—
1645C22⋊C4—111no—
1646C22⋊C4—221no—
1647C22⋊C4—221no—
1648C22⋊C4—221no—
1649C22⋊C4—221no—
1650C22⋊C4—221no—
1651C22⋊C4—221no—
1652C22⋊C4—221no—
1653C22⋊C4—221no—
1654C22⋊C4—221no—
1655C22⋊C4—221no—
1656C22⋊C4—221no—
1657C22⋊C4—221no—
1658C22⋊C4—221no—
1659C22⋊C4—221no—
1660C22⋊C4—221no—
1661C22⋊C4—221no—
1662C22⋊C4—221no—
1663C22⋊C4—221no—
1664C22⋊C4—221no—
1665C22⋊C4—221no—
1666C22⋊C4—221no—
1667C22⋊C4—221no—
1668C22⋊C4—221no—
1669C22⋊C4—221no—
1670C22⋊C4—221no—
1671C22⋊C4—221no—
1672C22⋊C4—221no—
1673C22⋊C4—221no—
1674C22⋊C4—221no—
1675C22⋊C4D4×D1111yescharacteristic
1676C22⋊C4D4×D1111yescharacteristic
1677C42—21no—
1678C42—21no—
1679C42—111no—
1680C42—111no—
1681C42—111no—
1682C42—221no—
1683C42—221no—
1684C42—221no—
1685C42—221no—
1686C42—221no—
1687C42C23×D1111yescharacteristic
1688C11#6160611yescharacteristic, complemented, Sylow
1689C23—21no—
1690C23—111no—
1691C23—111no—
1692C23—111no—
1693C23—222no—
1694C23—221no—
1695C23—221no—
1696C23—221no—
1697C23—221no—
1698C23—441no—
1699C23—441no—
1700C23—441no—
1701C23—441no—
1702C23—441no—
1703C23—442no—
1704C23—442no—
1705C23—442no—
1706C23—442no—
1707C23—442no—
1708C23—881no—
1709C23—881no—
1710C23—881no—
1711C23—881no—
1712C23C2×D4×D1111yescharacteristic
1713C23C2×D4×D1111yescharacteristic
1714Q8—21no—
1715Q8—21no—
1716Q8—21no—
1717Q8—21no—
1718Q8—21no—
1719Q8—21no—
1720Q8—112no—
1721Q8—221no—
1722Q8—221no—
1723Q8—221no—
1724Q8—442no—
1725Q8—442no—
1726Q8—881no—
1727D4—21no—
1728D4—41no—
1729D4—42no—
1730D4—42no—
1731D4—222no—
1732D4—222no—
1733D4—224no—
1734D4—221no—
1735D4—221no—
1736D4—221no—
1737D4—221no—
1738D4—221no—
1739D4—221no—
1740D4—221no—
1741D4—221no—
1742D4—442no—
1743D4—442no—
1744D4—442no—
1745D4—442no—
1746D4—442no—
1747D4—442no—
1748D4—442no—
1749D4—442no—
1750D4—442no—
1751D4—441no—
1752D4—442no—
1753D4—442no—
1754D4—442no—
1755D4—442no—
1756D4—881no—
1757D4—881no—
1758D4—881no—
1759D4—881no—
1760D4—881no—
1761D4—881no—
1762D4—881no—
1763D4—881no—
1764D4#6704212yes—
1765C2×C4—21no—
1766C2×C4—21no—
1767C2×C4—21no—
1768C2×C4—21no—
1769C2×C4—21no—
1770C2×C4—21no—
1771C2×C4—21no—
1772C2×C4—21no—
1773C2×C4—21no—
1774C2×C4—21no—
1775C2×C4—21no—
1776C2×C4—42no—
1777C2×C4—42no—
1778C2×C4—42no—
1779C2×C4—42no—
1780C2×C4—111no—
1781C2×C4—111no—
1782C2×C4—111no—
1783C2×C4—111no—
1784C2×C4—111no—
1785C2×C4—224no—
1786C2×C4—221no—
1787C2×C4—221no—
1788C2×C4—221no—
1789C2×C4—221no—
1790C2×C4—221no—
1791C2×C4—221no—
1792C2×C4—221no—
1793C2×C4—221no—
1794C2×C4—221no—
1795C2×C4—221no—
1796C2×C4—441no—
1797C2×C4—441no—
1798C2×C4—441no—
1799C2×C4—441no—
1800C2×C4—441no—
1801C2×C4—441no—
1802C2×C4—442no—
1803C2×C4—442no—
1804C2×C4—442no—
1805C2×C4—442no—
1806C2×C4—442no—
1807C2×C4—442no—
1808C2×C4—441no—
1809C2×C4—441no—
1810C2×C4—881no—
1811C2×C4—881no—
1812C2×C4—881no—
1813C2×C4—881no—
1814C2×C4—881no—
1815C2×C4—881no—
1816C2×C4—881no—
1817C2×C4C2×D4×D1111yescharacteristic
1818C2×C4C2×D4×D1111yescharacteristic
1819C2×C4C2×D4×D1111yescharacteristic
1820C2×C4C2×D4×D1111yescharacteristic
1821C2×C4C24×D1111yescharacteristic
1822C8—21no—
1823C8—21no—
1824C8—21no—
1825C8—21no—
1826C8—221no—
1827C8—221no—
1828C8—221no—
1829C8—221no—
1830C22—21no—
1831C22—21no—
1832C22—22no—
1833C22—21no—
1834C22—21no—
1835C22—21no—
1836C22—21no—
1837C22—41no—
1838C22—41no—
1839C22—112no—
1840C22—221no—
1841C22—221no—
1842C22—221no—
1843C22—221no—
1844C22—221no—
1845C22—221no—
1846C22—221no—
1847C22—221no—
1848C22—441no—
1849C22—441no—
1850C22—441no—
1851C22—441no—
1852C22—441no—
1853C22—441no—
1854C22—441no—
1855C22—441no—
1856C22—441no—
1857C22—441no—
1858C22—441no—
1859C22—441no—
1860C22—882no—
1861C22—884no—
1862C22—882no—
1863C22—884no—
1864C22—1762no—
1865C22C22×D4×D1111yescharacteristic
1866C4—21no—
1867C4—21no—
1868C4—21no—
1869C4—21no—
1870C4—41no—
1871C4—41no—
1872C4—41no—
1873C4—41no—
1874C4—41no—
1875C4—41no—
1876C4—41no—
1877C4—221no—
1878C4—221no—
1879C4—221no—
1880C4—222no—
1881C4—221no—
1882C4—221no—
1883C4—441no—
1884C4—441no—
1885C4—441no—
1886C4C2×#6704211yescharacteristic
1887C4D11×H(5,𝔽2)11yescharacteristic
1888C2—41no—
1889C2—41no—
1890C2—42no—
1891C2—222no—
1892C2—441no—
1893C2—441no—
1894C2—881no—
1895C2—881no—
1896C2—881no—
1897C2—881no—
1898C2#1308224611yescharacteristic
1899C2D11×#57511yescharacteristic
1900C2#1308338611yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3315C2
socleC22×C11C23×D4
hypercenter#3315D11
hypocenterC11#61606
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3315

Complements

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

NH ≅ G/Ntype
1. #13082456C2semidirect
2. #13082103C2semidirect
3. #13080887C2semidirect
4. #13080833C2semidirect
5. #13080786C2semidirect
6. #13080754C2semidirect
7. #13080736C2semidirect
8. #13080521C2semidirect
9. #13080467C2semidirect
10. #13080360C2semidirect
11. #13080321C2semidirect
12. #13080244C2semidirect
13. #13080220C2semidirect
14. #13080192C2semidirect
15. #13080161C2semidirect
16. #13080142C2semidirect
17. #13080113C2semidirect
18. #13079656C2semidirect
19. #13079597C2semidirect
20. #13079460C2semidirect
21. #13079447C2semidirect
22. #13079410C2semidirect
23. #13079386C2semidirect
24. #13078729C2semidirect
25. #13078639C2semidirect
26. #13077869C2semidirect
27. #13077859C2semidirect
28. #13077836C2semidirect
29. D11×#452C2semidirect
30. #13077646C2semidirect
31. C11×#3315C2semidirect
33. C2×#41×D11C22semidirect
34. C11×#552C22semidirect
37. #10623360C22semidirect
38. C2×#67003C22semidirect
39. C2×#67002C22semidirect
40. C2×#66971C22semidirect
41. C2×Q16×D11C22semidirect
42. C2×#66967C22semidirect
43. C2×SD16×D11C22semidirect
44. C2×#66961C22semidirect
45. C2×#66957C22semidirect
46. #10623258C22semidirect
47. #10623256C22semidirect
53. #10623222C22semidirect
61. #10623164C22semidirect
62. #10623164C22semidirect
63. #10623161C22semidirect
65. #10623158C22semidirect
66. #10623158C22semidirect
67. D11×C22⋊Q8C22semidirect
70. #10623111C22semidirect
73. #10623081C22semidirect
74. D4×D44C22semidirect
76. C4×#4341C22semidirect
77. #10623061C22semidirect
79. #10623055C22semidirect
81. #10623044C22semidirect
83. C2×#66948C22semidirect
85. C11×#491C22semidirect
86. C11×#485C22semidirect
87. C11×#484C22semidirect
88. C11×#478C22semidirect
89. C11×#470C22semidirect
90. C11×#467C22semidirect
91. C11×#462C22semidirect
92. C11×#452C22semidirect
93. C11×#452C22semidirect
94. C11×#440C22semidirect
95. C11×#435C22semidirect
96. C11×#417C22semidirect
97. C11×#416C22semidirect
98. #10622852C22semidirect
99. #10622851C22semidirect
100. #10622804C22semidirect
101. #10622804C22semidirect
102. #10622800C22semidirect
103. #10622800C22semidirect
104. #10622800C22semidirect
105. #10622799C22semidirect
106. #10622786C22semidirect
107. #10622778C22semidirect
108. #10622747C22semidirect
109. #10622741C22semidirect
110. #10622739C22semidirect
111. #10622728C22semidirect
112. C8×C22⋊D11C22semidirect
113. C2×(C2×D11)⋊C8C22semidirect
114. #10622699C22semidirect
115. #10622696C22semidirect
116. #10622680C22semidirect
117. #10622676C22semidirect
118. #10622665C22semidirect
119. #10622662C22semidirect
120. #10622661C22semidirect
121. #10622661C22semidirect
122. #10622660C22semidirect
123. #10622660C22semidirect
124. #10622660C22semidirect
125. #10622659C22semidirect
126. #10622643C22semidirect
127. #10622640C22semidirect
128. #10622629C22semidirect
129. #10622627C22semidirect
130. #10622624C22semidirect
131. #10622616C22semidirect
132. #10622615C22semidirect
133. #10622581C22semidirect
134. #10622579C22semidirect
135. #10622499C22semidirect
136. #10622498C22semidirect
137. #10622498C22semidirect
138. #10622498C22semidirect
139. #10622496C22semidirect
140. #10622496C22semidirect
141. #10622490C22semidirect
142. #10622486C22semidirect
143. #10622480C22semidirect
144. #10622478C22semidirect
145. #10622476C22semidirect
146. #10622465C22semidirect
147. #10622458C22semidirect
148. #10622456C22semidirect
149. #10622449C22semidirect
150. #10622446C22semidirect
151. #10622432C22semidirect
152. #10622432C22semidirect
153. #10622429C22semidirect
154. #10622427C22semidirect
155. #10622427C22semidirect
156. #10622425C22semidirect
157. #10622424C22semidirect
158. #10622424C22semidirect
159. #10622424C22semidirect
160. #10622424C22semidirect
161. #10622424C22semidirect
162. #10622423C22semidirect
163. #10622423C22semidirect
164. #10622422C22semidirect
165. #10622421C22semidirect
166. #10622420C22semidirect
167. #10622420C22semidirect
168. #10622419C22semidirect
169. #10622419C22semidirect
170. #10622419C22semidirect
171. #10622419C22semidirect
172. #10622415C22semidirect
173. D11×#103C22semidirect
174. #10622413C22semidirect
175. #10622413C22semidirect
176. #10622411C22semidirect
177. #10622411C22semidirect
178. #10622411C22semidirect
179. #10622396C22semidirect
182. #10622389C22semidirect
183. #10622386C22semidirect
184. #10622386C22semidirect
185. #10622386C22semidirect
186. #10622383C22semidirect
187. D11×#102C22semidirect
188. #10622379C22semidirect
189. #10622371C22semidirect
190. #10622369C22semidirect
191. #10622347C22semidirect
192. #10622347C22semidirect
193. #10622346C22semidirect
194. #10622345C22semidirect
195. #10622342C22semidirect
196. #10622339C22semidirect
197. (C22⋊D11)⋊C8C22semidirect
198. D11×C22⋊C8C22semidirect
199. #10622325C22semidirect
200. #10622323C22semidirect
201. #10622319C22semidirect
202. #10622318C22semidirect
746. #3315D11semidirect
926. #552C2×D11semidirect
968. #491C2×D11semidirect
975. #485C2×D11semidirect
977. #484C2×D11semidirect
987. #478C2×D11semidirect
990. #470C2×D11semidirect
996. #467C2×D11semidirect
1012. #462C2×D11semidirect
1028. #452C2×D11semidirect
1029. #452C2×D11semidirect
1055. #440C2×D11semidirect
1065. #435C2×D11semidirect
1073. #417C2×D11semidirect
1075. #416C2×D11semidirect
1688. C11#61606semidirect

Maximal subgroups

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

subgroupindex
#130824562
#130821032
#130808872
#130808332
#130807862
#130807542
#130807362
#130805212
#130804672
#130803602
#130803212
#130802442
#130802202
#130801922
#130801612
#130801422
#130801132
#130796562
#130795972
#130794602
#130794472
#130794102
#130793862
#130787292
#130786392
#130778692
#130778592
#130778362
D11×#4522
#130776462
C11×#33152
#6160611