Finite Group Databasebeta

← #15639797

Subgroups — #15639797

Order 2816.

2050 conjugacy classes of subgroups.

The subgroup lattice has 1868 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082892C211yesmaximal, characteristic, complemented
2#13082290C211yesmaximal, characteristic, complemented
3#13080909C211yesmaximal, characteristic, complemented
4#13080897C211yesmaximal, characteristic, complemented
5#13080800C211yesmaximal, characteristic, complemented
6#13080769C211yesmaximal, characteristic, complemented
7#13080676C211yesmaximal, characteristic, complemented
8#13080648C211yesmaximal, characteristic, complemented
9#13080540C211yesmaximal, characteristic, complemented
10#13080360C211yesmaximal, characteristic, complemented
11#13080328C211yesmaximal, characteristic, complemented
12#13080249C211yesmaximal, characteristic, complemented
13#13080220C211yesmaximal, characteristic, complemented
14#13080192C211yesmaximal, characteristic, complemented
15#13080175C211yesmaximal, characteristic, complemented
16#13080142C211yesmaximal, characteristic, complemented
17#13080123C211yesmaximal, characteristic, complemented
18#13079732C211yesmaximal, characteristic, complemented
19#13079728C211yesmaximal, characteristic, complemented
20#13079501C211yesmaximal, characteristic, complemented
21#13079474C211yesmaximal, characteristic, complemented
22#13079450C211yesmaximal, characteristic, complemented
23#13079398C211yesmaximal, characteristic, complemented
24#13078889C211yesmaximal, characteristic, complemented
25#13078883C211yesmaximal, characteristic, complemented
26#13077908C211yesmaximal, characteristic, complemented
27#13077905C211yesmaximal, characteristic, complemented
28#13077859C211yesmaximal, characteristic, complemented
29#13077836C211yesmaximal, characteristic, complemented
30#13077658C211yesmaximal, characteristic, complemented
31C11×#3302C211yesmaximal, characteristic, complemented
32C2×#67043C2211yescharacteristic
33C2×#41×D11C2211yescharacteristic, complemented
34C11×#556C2211yescharacteristic, complemented
35C11×#547C2211yescharacteristic
36#10623360C2211yescharacteristic
37#10623355C2211yescharacteristic, complemented
38C2×#67003C2211yescharacteristic
39C2×#67002C2211yescharacteristic, complemented
40C2×#66971C2211yescharacteristic
41C2×Q16×D11C2211yescharacteristic, complemented
42C2×#66968C2211yescharacteristic, complemented
43C2×#66967C2211yescharacteristic
44C2×#66957C2211yescharacteristic
45C22×#4314C2211yescharacteristic, complemented
46#10623265C2211yescharacteristic
47#10623264C2211yescharacteristic, complemented
48#10623258C2211yescharacteristic, complemented
49#10623255C2211yescharacteristic, complemented
50#10623242—21no—
51#10623241—21no—
52#10623236—21no—
53#10623235—21no—
54#10623214—21no—
55#10623209—21no—
56#10623187—21no—
57#10623186—21no—
58#10623185—21no—
59#10623179—21no—
60#10623164C2211yescharacteristic, complemented
61#10623164C2211yescharacteristic, complemented
62#10623163C2211yescharacteristic
63#10623161C2211yescharacteristic
64#10623160C2211yescharacteristic
65#10623159C2211yescharacteristic, complemented
66#10623158C2211yescharacteristic
67D11×C22⋊Q8C2211yescharacteristic, complemented
68#10623141—21no—
69#10623128—21no—
70#10623116—21no—
71#10623113—21no—
72#10623113C2211yescharacteristic, complemented
73#10623107C2211yescharacteristic
74#10623085C2211yescharacteristic, complemented
75#10623083C2211yescharacteristic
76#10623081C2211yescharacteristic, complemented
77#10623078C2211yescharacteristic
78#10623077C2211yescharacteristic, complemented
79#10623064C2211yescharacteristic
80#10623063C2211yescharacteristic, complemented
81#10623056C2211yescharacteristic, complemented
82#10623055C2211yescharacteristic
83C2×#66949—21no—
84#10623038—21no—
85C11×#487C2211yescharacteristic, complemented
86C11×#485C2211yescharacteristic, complemented
87C11×#485C2211yescharacteristic, complemented
88C11×#474C2211yescharacteristic, complemented
89C11×#467C2211yescharacteristic, complemented
90C11×#467C2211yescharacteristic, complemented
91C11×#462C2211yescharacteristic, complemented
92C11×#452C2211yescharacteristic, complemented
93C11×#452C2211yescharacteristic, complemented
94C4×C11×SD16C2211yescharacteristic, complemented
95C8×D4×C11C2211yescharacteristic, complemented
96C11×#416C2211yescharacteristic, complemented
97C11×#416C2211yescharacteristic, complemented
98#10622852C2211yescharacteristic, complemented
99#10622851C2211yescharacteristic
100#10622804C2211yescharacteristic, complemented
101#10622803C2211yescharacteristic, complemented
102#10622800C2211yescharacteristic
103#10622800C2211yescharacteristic, complemented
104#10622799C2211yescharacteristic, complemented
105#10622799C2211yescharacteristic, complemented
106#10622786C2211yescharacteristic, complemented
107#10622778C2211yescharacteristic, complemented
108#10622727C2211yescharacteristic, complemented
109#10622727C2211yescharacteristic, complemented
110#10622724C2211yescharacteristic
111#10622723C2211yescharacteristic, complemented
112C8×C22⋊D11C2211yescharacteristic, complemented
113C2×(C2×D11)⋊C8C2211yescharacteristic, complemented
114#10622704C2211yescharacteristic, complemented
115#10622702C2211yescharacteristic, complemented
116#10622699C2211yescharacteristic, complemented
117#10622696C2211yescharacteristic, complemented
118#10622665C2211yescharacteristic, complemented
119#10622664C2211yescharacteristic, complemented
120#10622663C2211yescharacteristic, complemented
121#10622662C2211yescharacteristic, complemented
122#10622661C2211yescharacteristic, complemented
123#10622660C2211yescharacteristic, complemented
124#10622660C2211yescharacteristic, complemented
125#10622659C2211yescharacteristic, complemented
126#10622643C2211yescharacteristic, complemented
127#10622641C2211yescharacteristic, complemented
128#10622629C2211yescharacteristic, complemented
129#10622627C2211yescharacteristic, complemented
130#10622624C2211yescharacteristic, complemented
131#10622617C2211yescharacteristic, complemented
132#10622616C2211yescharacteristic, complemented
133#10622615C2211yescharacteristic, complemented
134#10622609C2211yescharacteristic, complemented
135#10622502C2211yescharacteristic, complemented
136#10622501C2211yescharacteristic, complemented
137#10622499C2211yescharacteristic
138#10622498C2211yescharacteristic, complemented
139#10622497C2211yescharacteristic, complemented
140#10622496C2211yescharacteristic, complemented
141#10622495C2211yescharacteristic, complemented
142#10622486C2211yescharacteristic, complemented
143#10622481C2211yescharacteristic, complemented
144#10622478C2211yescharacteristic, complemented
145#10622476C2211yescharacteristic, complemented
146#10622467C2211yescharacteristic, complemented
147#10622458C2211yescharacteristic, complemented
148#10622457C2211yescharacteristic, complemented
149#10622453C2211yescharacteristic, complemented
150#10622449C2211yescharacteristic, complemented
151#10622432C2211yescharacteristic, complemented
152#10622431C2211yescharacteristic, complemented
153#10622429C2211yescharacteristic, complemented
154#10622428C2211yescharacteristic, complemented
155#10622428C2211yescharacteristic, complemented
156#10622425C2211yescharacteristic
157#10622425C2211yescharacteristic, complemented
158#10622424C2211yescharacteristic
159#10622424C2211yescharacteristic
160#10622423C2211yescharacteristic
161#10622423C2211yescharacteristic, complemented
162#10622421C2211yescharacteristic, complemented
163#10622421C2211yescharacteristic, complemented
164#10622420C2211yescharacteristic, complemented
165#10622419C2211yescharacteristic
166#10622419C2211yescharacteristic, complemented
167#10622419C2211yescharacteristic, complemented
168#10622419C2211yescharacteristic, complemented
169#10622419C2211yescharacteristic, complemented
170#10622419C2211yescharacteristic, complemented
171#10622418C2211yescharacteristic, complemented
172#10622415C2211yescharacteristic, complemented
173#10622415C2211yescharacteristic, complemented
174#10622411C2211yescharacteristic, complemented
175#10622411C2211yescharacteristic, complemented
176#10622408C2211yescharacteristic, complemented
177#10622406C2211yescharacteristic, complemented
178#10622405C2211yescharacteristic, complemented
179#10622396C2211yescharacteristic, complemented
180#10622394C2211yescharacteristic
181#10622394C2211yescharacteristic
182#10622394C2211yescharacteristic, complemented
183#10622394C2211yescharacteristic, complemented
184#10622389C2211yescharacteristic, complemented
185#10622386C2211yescharacteristic
186#10622385C2211yescharacteristic, complemented
187#10622383C2211yescharacteristic, complemented
188#10622374C2211yescharacteristic, complemented
189#10622370C2211yescharacteristic, complemented
190#10622369C2211yescharacteristic, complemented
191#10622352C2211yescharacteristic, complemented
192#10622347C2211yescharacteristic
193#10622346C2211yescharacteristic, complemented
194#10622345C2211yescharacteristic, complemented
195#10622343C2211yescharacteristic, complemented
196#10622342C2211yescharacteristic
197#10622340C2211yescharacteristic, complemented
198#10622339C2211yescharacteristic, complemented
199#10622309C2211yescharacteristic, complemented
200C4×#4314C2211yescharacteristic, complemented
201#10622303C2211yescharacteristic, complemented
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×Q8×D11C2311yescharacteristic
215C2×#4341—21no—
216C2×#4341—21no—
217C2×#4341—21no—
218C2×#4341C2311yescharacteristic
219C2×#4341C2311yescharacteristic
220C2×D4×D11—21no—
221C2×D4×D11C2311yescharacteristic
222C2×#4339—21no—
223C2×#4339—21no—
224C2×#4339C2311yescharacteristic
225C2×#4339C2311yescharacteristic
226C2×#4339C2311yescharacteristic
227C22×D44C2311yescharacteristic
228C22×C4×D11—21no—
229C22×C4×D11C2311yescharacteristic
230C22×Dic22—21no—
231C22×Dic22C2311yescharacteristic
232C2×C11×Q16C2311yescharacteristic
233C2×C11×Q16C2311yescharacteristic
234C2×C11×SD16C2311yescharacteristic
235C22×C8×C11C2311yescharacteristic
236C22×C8×C11C2311yescharacteristic
237C11×C4⋊Q8C2311yescharacteristic
238C11×C4⋊Q8C2311yescharacteristic
239C11×#126—21no—
240C11×#126—21no—
241C11×#124—21no—
242C11×#123—21no—
243C11×#123—21no—
244C11×C22⋊Q8C2311yescharacteristic
245C11×C22⋊Q8C2311yescharacteristic
246C11×C22⋊Q8C2311yescharacteristic
247C11×C22⋊Q8C2311yescharacteristic
248C11×#121—21no—
249C4×Q8×C11—21no—
250C4×Q8×C11C2311yescharacteristic
251C4×D4×C11C2311yescharacteristic
252C4×D4×C11C2311yescharacteristic
253C11×#117C2311yescharacteristic
254C11×#117C2311yescharacteristic
255C2×C11×C4⋊C4—21no—
256#67003—42no—
257#67002—42no—
258#67000—21no—
259#67000—21no—
260#67000—21no—
261#67000C2311yescharacteristic
262#67000C2311yescharacteristic
263#66999—21no—
264#66999C2311yescharacteristic
265#66999C2311yescharacteristic
266#66999C2311yescharacteristic
267#66997C2311yescharacteristic
268C2×#4326C2311yescharacteristic
269C2×#4326C2311yescharacteristic
270C2×#4326C2311yescharacteristic
271C2×#4326C2311yescharacteristic
272C2×#4325C2311yescharacteristic
273C2×#4325C2311yescharacteristic
274C2×#4325C2311yescharacteristic
275C2×#4325C2311yescharacteristic
276C2×#4325C2311yescharacteristic
277#66992—21no—
278#66992—21no—
279#66992—21no—
280#66992D411yescharacteristic
281#66990—21no—
282#66990—21no—
283#66990D411yescharacteristic
284#66988—21no—
285D4×Dic11C2311yescharacteristic
286C2×#4324C2311yescharacteristic
287C2×#4323C2311yescharacteristic
288C2×#4323C2311yescharacteristic
289#66983—21no—
290#66983C2311yescharacteristic
291#66983C2311yescharacteristic
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—
299#66977C2311yescharacteristic
300#66977C2311yescharacteristic
301C2×Dic11⋊C4—21no—
302C2×Dic11⋊C4—21no—
303C2×#4318C2311yescharacteristic
304C22×C11⋊C8C2311yescharacteristic
305#66971—42no—
306Q16×D11—42no—
307#66968—42no—
308#66967—42no—
309C2×Dic44C2311yescharacteristic
310C2×Dic44C2311yescharacteristic
311#66957—42no—
312C2×D88C2311yescharacteristic
313C2×D88C2311yescharacteristic
314C2×#4314—42no—
315C2×#4314C2311yescharacteristic
316C2×#4314C2311yescharacteristic
317C2×#4314C2311yescharacteristic
318C2×#4314C2311yescharacteristic
319C2×#4314C2311yescharacteristic
320C2×#4313C2311yescharacteristic
321C2×#4313C2311yescharacteristic
322C2×#4313C2311yescharacteristic
323C2×C8×D11C2311yescharacteristic
324#66951—21no—
325#66950—21no—
326#66950C2311yescharacteristic
327#66950C2311yescharacteristic
328#66950C2311yescharacteristic
329#66949—21no—
330#66949—21no—
331#66949—21no—
332#66949—21no—
333#66949—21no—
334#66949—21no—
335#66949—21no—
336#66949—21no—
337#66949—21no—
338#66949—21no—
339#66949—21no—
340#66949D411yescharacteristic
341#66948—21no—
342#66948—21no—
343#66948—21no—
344#66948—21no—
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#66947D411yescharacteristic
360#66946—21no—
361#66946—21no—
362#66946—21no—
363#66946—21no—
364#66946C2311yescharacteristic
365#66945—21no—
366#66945C2311yescharacteristic
367#66945C2311yescharacteristic
368C4⋊C4×D11—21no—
369C4⋊C4×D11C2311yescharacteristic
370#66941—21no—
371#66941—21no—
372#66941—21no—
373#66941C2311yescharacteristic
374#66940C2311yescharacteristic
375#66940C2311yescharacteristic
376#66939—21no—
377#66939—21no—
378#66938—21no—
379#66938—21no—
380#66938—21no—
381#66938—21no—
382#66938—21no—
383#66938—21no—
384#66937—21no—
385#66937—21no—
386#66937—21no—
387#66937—21no—
388#66937—21no—
389#66937—21no—
390#66937D411yescharacteristic
391#66936—21no—
392#66936D411yescharacteristic
393#66935—21no—
394#66935—21no—
395#66935—21no—
396#66935—21no—
397#66935—21no—
398#66935—21no—
399#66935D411yescharacteristic
400(C22⋊D11)⋊C4—21no—
401(C22⋊D11)⋊C4—21no—
402(C22⋊D11)⋊C4—21no—
403(C22⋊D11)⋊C4—21no—
404C22⋊C4×D11—21no—
405C22⋊C4×D11—21no—
406C22⋊C4×D11—21no—
407#66932—21no—
408#66931—21no—
409#66931—21no—
410#66931D411yescharacteristic
411#66930—21no—
412#66929—21no—
413#66929—21no—
414#66928—21no—
415#66928—21no—
416#66928—21no—
417#66928—21no—
418#66928C2311yescharacteristic
419#66928C2311yescharacteristic
420#66927—21no—
421C4×D44—21no—
422C4×D44—21no—
423C4×D44—21no—
424C4×D44C2311yescharacteristic
425C4×D44C2311yescharacteristic
426#66925—21no—
427#66925C2311yescharacteristic
428C4×Dic22—21no—
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
446C4×C8×C11C2311yescharacteristic
447#66899C2311yescharacteristic
448#66899C2311yescharacteristic
449#66899C2311yescharacteristic
450#66896C2311yescharacteristic
451C22⋊(C11⋊C8)C2311yescharacteristic
452C22⋊(C11⋊C8)C2311yescharacteristic
453#66885C2311yescharacteristic
454#66885C2311yescharacteristic
455#66885C2311yescharacteristic
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(C2×D11)⋊C8C2311yescharacteristic
464#66881C2311yescharacteristic
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#66873C2311yescharacteristic
480#66873C2311yescharacteristic
481#66873C2311yescharacteristic
482#66873C2311yescharacteristic
483#66873C2311yescharacteristic
484#66872C2311yescharacteristic
485#66872C2311yescharacteristic
486#66871C2311yescharacteristic
487#66871C2311yescharacteristic
488C4⋊(C11⋊C8)C2311yescharacteristic
489#66867C2311yescharacteristic
490#61627—111nomaximal, Sylow
491C23×D11—21no—
492C23×D11—21no—
493C23×D11C2×D411yescharacteristic
494C11×#41—22no—
495C11×#41—22no—
496C11×#41—41no—
497C11×#41—41no—
498C2×Q8×C11—21no—
499C2×Q8×C11C2411yescharacteristic
500C2×Q8×C11C2411yescharacteristic
501C2×Q8×C11C2411yescharacteristic
502C2×D4×C11—21no—
503C2×D4×C11—21no—
504C2×D4×C11C2×D411yescharacteristic
505C2×D4×C11C2411yescharacteristic
506C22×C4×C11—21no—
507C22×C4×C11—21no—
508C22×C4×C11—21no—
509C22×C4×C11C2411yescharacteristic
510C22×C4×C11C2411yescharacteristic
511C2×C22⋊D11—21no—
512C2×C22⋊D11—21no—
513C2×C22⋊D11—21no—
514C2×C22⋊D11—21no—
515C2×C22⋊D11—21no—
516C2×C22⋊D11—21no—
517C2×C22⋊D11—21no—
518C2×C22⋊D11C2×D411yescharacteristic
519C2×C22⋊D11C2×D411yescharacteristic
520C2×C22⋊D11C2×D411yescharacteristic
521C2×C22⋊D11C2×D411yescharacteristic
522C22×Dic11—21no—
523C22×Dic11—21no—
524C22×Dic11—21no—
525C22×Dic11—21no—
526C22×Dic11C2×D411yescharacteristic
527#4343—41no—
528#4343—41no—
529#4343—41no—
530#4343—41no—
531Q8×D11—22no—
532Q8×D11—22no—
533Q8×D11—41no—
534Q8×D11—41no—
535Q8×D11—41no—
536Q8×D11—41no—
537Q8×D11—41no—
538Q8×D11—41no—
539#4341—22no—
540#4341—22no—
541#4341—22no—
542#4341—41no—
543#4341—44no—
544#4341—44no—
545#4341—44no—
546D4×D11—22no—
547D4×D11—41no—
548D4×D11—44no—
549#4339—22no—
550#4339—41no—
551#4339—41no—
552#4339—41no—
553#4339—41no—
554#4339—41no—
555#4339—44no—
556#4339—44no—
557C2×D44—21no—
558C2×D44—21no—
559C2×D44—21no—
560C2×D44—21no—
561C2×D44—21no—
562C2×D44—21no—
563C2×D44—21no—
564C2×D44—21no—
565C2×D44—21no—
566C2×D44—41no—
567C2×D44—41no—
568C2×D44C2×D411yescharacteristic
569C2×D44C2×D411yescharacteristic
570C2×D44C2411yescharacteristic
571C2×D44C2411yescharacteristic
572C2×D44C2411yescharacteristic
573C2×C4×D11—21no—
574C2×C4×D11—21no—
575C2×C4×D11—21no—
576C2×C4×D11—21no—
577C2×C4×D11—21no—
578C2×C4×D11—21no—
579C2×C4×D11—21no—
580C2×C4×D11—21no—
581C2×C4×D11—21no—
582C2×C4×D11—21no—
583C2×C4×D11—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—22no—
593C2×Dic22—21no—
594C2×Dic22—21no—
595C2×Dic22—21no—
596C2×Dic22—21no—
597C2×Dic22—21no—
598C2×Dic22—21no—
599C2×Dic22—41no—
600C2×Dic22—44no—
601C2×Dic22C2×D411yescharacteristic
602C2×Dic22C2411yescharacteristic
603C2×Dic22C2411yescharacteristic
604C2×Dic22C2411yescharacteristic
605C11×Q16—41no—
606C11×Q16—41no—
607C11×SD16—22no—
608C2×C8×C11—41no—
609C2×C8×C11—41no—
610C2×C8×C11C2411yescharacteristic
611C2×C8×C11C2411yescharacteristic
612C2×C8×C11C2411yescharacteristic
613C2×C8×C11C2411yescharacteristic
614C11×C4⋊C4—21no—
615C11×C4⋊C4—21no—
616C11×C4⋊C4—21no—
617C11×C4⋊C4—21no—
618C11×C4⋊C4—21no—
619C11×C4⋊C4—21no—
620C11×C4⋊C4—21no—
621C11×C4⋊C4—21no—
622C11×C4⋊C4C2×D411yescharacteristic
623C11×C4⋊C4C2411yescharacteristic
624C11×C4⋊C4C2411yescharacteristic
625C11×C4⋊C4C2411yescharacteristic
626C11×C4⋊C4C2411yescharacteristic
627C11×C22⋊C4—21no—
628C11×C22⋊C4—21no—
629C11×C22⋊C4—21no—
630C11×C22⋊C4—21no—
631C11×C22⋊C4—21no—
632C11×C22⋊C4—21no—
633C11×C22⋊C4—21no—
634C11×C22⋊C4C2×D411yescharacteristic
635C11×C22⋊C4C2×D411yescharacteristic
636C42×C11—21no—
637C42×C11—21no—
638C42×C11—21no—
639C42×C11C2411yescharacteristic
640C22⋊Dic11—21no—
641C22⋊Dic11—21no—
642C22⋊Dic11—21no—
643C22⋊Dic11C2×D411yescharacteristic
644C22⋊Dic11C2×D411yescharacteristic
645#4326—22no—
646#4326—41no—
647#4326—41no—
648#4326—41no—
649#4325—41no—
650#4325—41no—
651#4325—41no—
652#4325—41no—
653#4325—41no—
654#4324—22no—
655#4323—22no—
656#4323—22no—
657(C2×D11)⋊C4—21no—
658(C2×D11)⋊C4—21no—
659(C2×D11)⋊C4—21no—
660(C2×D11)⋊C4—21no—
661(C2×D11)⋊C4—21no—
662(C2×D11)⋊C4—21no—
663(C2×D11)⋊C4—21no—
664(C2×D11)⋊C4—21no—
665(C2×D11)⋊C4—21no—
666(C2×D11)⋊C4—21no—
667(C2×D11)⋊C4—21no—
668(C2×D11)⋊C4—21no—
669(C2×D11)⋊C4—21no—
670(C2×D11)⋊C4—21no—
671(C2×D11)⋊C4—21no—
672(C2×D11)⋊C4—21no—
673(C2×D11)⋊C4—21no—
674(C2×D11)⋊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)⋊C4C2×D411yescharacteristic
684(C2×D11)⋊C4C2×D411yescharacteristic
685(C2×D11)⋊C4C2×D411yescharacteristic
686(C2×D11)⋊C4C2×D411yescharacteristic
687(C2×D11)⋊C4C2×D411yescharacteristic
688(C2×D11)⋊C4C2×D411yescharacteristic
689C4⋊Dic11—21no—
690C4⋊Dic11—21no—
691C4⋊Dic11—21no—
692C4⋊Dic11C2×D411yescharacteristic
693C4⋊Dic11C2411yescharacteristic
694C4⋊Dic11C2411yescharacteristic
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⋊C4—21no—
707Dic11⋊C4C2×D411yescharacteristic
708Dic11⋊C4C2×D411yescharacteristic
709Dic11⋊C4C2×D411yescharacteristic
710Dic11⋊C4C2×D411yescharacteristic
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—41no—
725D88—41no—
726D88—41no—
727#4314—22no—
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#3540—111no—
737#3489—111no—
738#3329—111no—
739#3328—111no—
740#3321—111no—
741#3319—111no—
742#3313—111no—
743#3311—111no—
744#3303—111no—
745#3302D1111yescharacteristic, complemented
746#3285—111no—
747#3282—111no—
748#3275—111no—
749#3273—111no—
750#3270—111no—
751#3269—111no—
752#3267—111no—
753#3266—111no—
754#3225—111no—
755#3225—111no—
756#3201—111no—
757#3198—111no—
758#3196—111no—
759#3190—111no—
760#3125—111no—
761#3124—111no—
762#3011—111no—
763#3010—111no—
764#3005—111no—
765#3002—111no—
766#2976—111no—
767C23×C11—21no—
768C23×C11C22×D411yescharacteristic
769C23×C11C22×D411yescharacteristic
770C22×D11—21no—
771C22×D11—21no—
772C22×D11—21no—
773C22×D11—41no—
774C22×D11—41no—
775C22×D11—41no—
776C22×D11—42no—
777C22×D11—42no—
778C22×D11—81no—
779C22×D11—81no—
780C22×D11—81no—
781C22×D11—81no—
782C22×D11C22×D411yescharacteristic
783C22×D11C22×D411yescharacteristic
784C22×D11C22×D411yescharacteristic
785Q8×C11—21no—
786Q8×C11—21no—
787Q8×C11—21no—
788Q8×C11—21no—
789Q8×C11—21no—
790Q8×C11—21no—
791Q8×C11—81no—
792D4×C11—21no—
793D4×C11—41no—
794D4×C11—42no—
795D4×C11—42no—
796D4×C11H(5,𝔽2)12yes—
797C2×C4×C11—21no—
798C2×C4×C11—21no—
799C2×C4×C11—21no—
800C2×C4×C11—21no—
801C2×C4×C11—21no—
802C2×C4×C11—21no—
803C2×C4×C11—21no—
804C2×C4×C11—21no—
805C2×C4×C11—21no—
806C2×C4×C11—21no—
807C2×C4×C11—21no—
808C2×C4×C11—42no—
809C2×C4×C11—42no—
810C2×C4×C11—81no—
811C2×C4×C11C22×D411yescharacteristic
812C2×C4×C11C22×D411yescharacteristic
813C2×C4×C11C22×D411yescharacteristic
814C2×C4×C11C22×D411yescharacteristic
815C2×C4×C11C2511yescharacteristic
816C22⋊D11—24no—
817C22⋊D11—41no—
818C22⋊D11—41no—
819C22⋊D11—41no—
820C22⋊D11—41no—
821C22⋊D11—42no—
822C22⋊D11—42no—
823C22⋊D11—42no—
824C22⋊D11—81no—
825C22⋊D11—81no—
826C22⋊D11—81no—
827C2×Dic11—24no—
828C2×Dic11—21no—
829C2×Dic11—21no—
830C2×Dic11—21no—
831C2×Dic11—21no—
832C2×Dic11—21no—
833C2×Dic11—41no—
834C2×Dic11—42no—
835C2×Dic11—42no—
836C2×Dic11—81no—
837C2×Dic11C22×D411yescharacteristic
838C2×Dic11C22×D411yescharacteristic
839C2×Dic11C22×D411yescharacteristic
840C2×Dic11C22×D411yescharacteristic
841C2×Dic11C22×D411yescharacteristic
842D44—21no—
843D44—21no—
844D44—21no—
845D44—21no—
846D44—21no—
847D44—21no—
848D44—41no—
849D44—41no—
850D44—42no—
851D44—81no—
852D44—81no—
853D44—81no—
854D44—81no—
855D44—81no—
856D44—81no—
857D44—81no—
858D44—81no—
859C4×D11—21no—
860C4×D11—21no—
861C4×D11—21no—
862C4×D11—21no—
863C4×D11—21no—
864C4×D11—21no—
865C4×D11—41no—
866C4×D11—41no—
867C4×D11—42no—
868C4×D11—42no—
869C4×D11—42no—
870C4×D11—42no—
871C4×D11—42no—
872C4×D11—81no—
873C4×D11—81no—
874C4×D11—81no—
875C4×D11—81no—
876C4×D11—81no—
877C4×D11—81no—
878Dic22—21no—
879Dic22—21no—
880Dic22—21no—
881Dic22—21no—
882Dic22—21no—
883Dic22—41no—
884Dic22—42no—
885Dic22—42no—
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×AGL(1,ℤ/8)—111no—
904C2×AGL(1,ℤ/8)—111no—
905C2×#135—111no—
906C2×#135—111no—
907C22×Q16—111no—
908C22×SD16—111no—
909H(3,𝔽4)—221no—
910#560—221no—
911#559—221no—
912#556—111no—
913#556C2×D1111yescharacteristic, complemented
914#555—111no—
915#555—111no—
916#551—221no—
917D4×Q8—111no—
918D4×Q8—111no—
919#548—111no—
920#548—111no—
921#548—111no—
922#548—111no—
923#547—111no—
924#547—221no—
925#547—221no—
926#547C2×D1111yescharacteristic
927#546—111no—
928#546—111no—
929#546—111no—
930#546—111no—
931#546—221no—
932#546—221no—
933#542—111no—
934#542—111no—
935#542—221no—
936#542—221no—
937#538—221no—
938#538—221no—
939#537—111no—
940#537—221no—
941#536—111no—
942#536—111no—
943#536—221no—
944#535—111no—
945#525—111no—
946#525—111no—
947#525—111no—
948#525—221no—
949C2×C22⋊Q8—111no—
950C2×C22⋊Q8—221no—
951#520—111no—
952#497—111no—
953#497—111no—
954#495—111no—
955#495—111no—
956#489—111no—
957#489—111no—
958#487—111no—
959#487C2×D1111yescharacteristic, complemented
960#485—111no—
961#485—111no—
962#485—111no—
963#485—111no—
964#485C2×D1111yescharacteristic, complemented
965#485C2×D1111yescharacteristic, complemented
966#484—111no—
967#483—111no—
968#482—111no—
969#482—111no—
970#481—111no—
971#480—111no—
972#477—111no—
973#476—111no—
974#475—111no—
975#474C2×D1111yescharacteristic, complemented
976#470—111no—
977#470—111no—
978#470—111no—
979#469—111no—
980#468—111no—
981#468—111no—
982#468—111no—
983#468—111no—
984#467—111no—
985#467C2×D1111yescharacteristic, complemented
986#467C2×D1111yescharacteristic, complemented
987#466—111no—
988#465—111no—
989#465—111no—
990#465—111no—
991#465—111no—
992#464—111no—
993#464—111no—
994#464—111no—
995#464—111no—
996#463—111no—
997#463—111no—
998#463—111no—
999#463—111no—
1000#462—111no—
1001#462C2×D1111yescharacteristic, complemented
1002#461—111no—
1003#461—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#452C2×D1111yescharacteristic, complemented
1015#452C2×D1111yescharacteristic, complemented
1016#451—111no—
1017#451—111no—
1018#451—111no—
1019#451—111no—
1020#451—111no—
1021#451—111no—
1022#450—111no—
1023#450—111no—
1024#449—111no—
1025#449—111no—
1026#449—111no—
1027#449—111no—
1028#449—111no—
1029#449—111no—
1030#449—111no—
1031#449—111no—
1032#448—111no—
1033#448—111no—
1034#448—111no—
1035#448—111no—
1036#448—111no—
1037#448—111no—
1038#447—111no—
1039#447—111no—
1040#442—111no—
1041#441—111no—
1042#440—111no—
1043#440—111no—
1044C4×Q16—111no—
1045C4×SD16—111no—
1046C4×SD16C2×D1111yescharacteristic, complemented
1047C4×D8—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#419—111no—
1060#419—111no—
1061#418—111no—
1062#416—111no—
1063#416—111no—
1064#416C2×D1111yescharacteristic, complemented
1065#416C2×D1111yescharacteristic, complemented
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—22no—
1077C22×C11—41no—
1078C22×C11—41no—
1079C22×C11C23×D411yescharacteristic
1080C2×D11—21no—
1081C2×D11—21no—
1082C2×D11—21no—
1083C2×D11—21no—
1084C2×D11—21no—
1085C2×D11—21no—
1086C2×D11—21no—
1087C2×D11—21no—
1088C2×D11—21no—
1089C2×D11—41no—
1090C2×D11—41no—
1091C2×D11—41no—
1092C2×D11—41no—
1093C2×D11—41no—
1094C2×D11—41no—
1095C2×D11—41no—
1096C2×D11—41no—
1097C2×D11—41no—
1098C2×D11—82no—
1099C2×D11—84no—
1100C2×D11—162no—
1101C4×C11—21no—
1102C4×C11—21no—
1103C4×C11—21no—
1104C4×C11—21no—
1105C4×C11—41no—
1106C4×C11—41no—
1107C4×C11—41no—
1108C4×C11—41no—
1109C4×C11—41no—
1110C4×C11—41no—
1111C4×C11—41no—
1112C4×C11C2×H(5,𝔽2)11yescharacteristic
1113C4×C11C2×H(5,𝔽2)11yescharacteristic
1114Dic11—21no—
1115Dic11—21no—
1116Dic11—22no—
1117Dic11—21no—
1118Dic11—21no—
1119Dic11—21no—
1120Dic11—41no—
1121Dic11—41no—
1122Dic11—41no—
1123Dic11—41no—
11242−1+4—442no—
11252−1+4—442no—
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—111no—
1150C22×D4—221no—
1151C23×C4—111no—
1152C23×C4—221no—
1153#137—442no—
1154#137—442no—
1155AGL(1,ℤ/8)—442no—
1156AGL(1,ℤ/8)—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—442no—
1166C2×Q16C22×D1111yescharacteristic
1167C2×Q16C22×D1111yescharacteristic
1168C2×SD16—111no—
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×SD16—442no—
1180C2×SD16C22×D1111yescharacteristic
1181C2×D8—111no—
1182C2×D8—111no—
1183C2×D8—111no—
1184C2×D8—111no—
1185C2×M16—111no—
1186C2×M16—111no—
1187C2×M16—111no—
1188C2×M16—111no—
1189C22×C8—111no—
1190C22×C8—111no—
1191C22×C8C22×D1111yescharacteristic
1192C22×C8C22×D1111yescharacteristic
1193C4⋊Q8—111no—
1194C4⋊Q8—111no—
1195C4⋊Q8—221no—
1196C4⋊Q8—221no—
1197C4⋊Q8—221no—
1198C4⋊Q8C22×D1111yescharacteristic
1199C4⋊Q8C22×D1111yescharacteristic
1200#127—221no—
1201#126—21no—
1202#126—21no—
1203#126—221no—
1204#126—221no—
1205#126—221no—
1206#126—221no—
1207#124—21no—
1208#124—111no—
1209#124—111no—
1210#124—111no—
1211#124—111no—
1212#124—221no—
1213#124—221no—
1214#124—221no—
1215#124—221no—
1216#124—221no—
1217#124—221no—
1218#124—221no—
1219#124—221no—
1220#124—221no—
1221#124—221no—
1222#124—221no—
1223#124—221no—
1224#124—221no—
1225#123—21no—
1226#123—21no—
1227#123—111no—
1228#123—111no—
1229#123—221no—
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—
1239#123—221no—
1240#123—221no—
1241#123—221no—
1242#123—221no—
1243C22⋊Q8—111no—
1244C22⋊Q8—111no—
1245C22⋊Q8—111no—
1246C22⋊Q8—111no—
1247C22⋊Q8—111no—
1248C22⋊Q8—111no—
1249C22⋊Q8—111no—
1250C22⋊Q8—111no—
1251C22⋊Q8—111no—
1252C22⋊Q8—111no—
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⋊Q8—221no—
1265C22⋊Q8—221no—
1266C22⋊Q8—221no—
1267C22⋊Q8—221no—
1268C22⋊Q8C22×D1111yescharacteristic
1269C22⋊Q8C22×D1111yescharacteristic
1270C22⋊Q8C22×D1111yescharacteristic
1271C22⋊Q8C22×D1111yescharacteristic
1272#121—21no—
1273#121—111no—
1274#121—111no—
1275#121—111no—
1276#121—111no—
1277#121—111no—
1278#121—111no—
1279#121—111no—
1280#121—111no—
1281#121—111no—
1282#121—111no—
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#121—221no—
1297#120—111no—
1298#120—111no—
1299#120—221no—
1300#120—221no—
1301#120—221no—
1302#120—221no—
1303#120—221no—
1304#120—221no—
1305#120—221no—
1306#120—221no—
1307C4×Q8—21no—
1308C4×Q8—111no—
1309C4×Q8—111no—
1310C4×Q8—111no—
1311C4×Q8—221no—
1312C4×Q8C22×D1111yescharacteristic
1313C4×D4—111no—
1314C4×D4—111no—
1315C4×D4—111no—
1316C4×D4—111no—
1317C4×D4—111no—
1318C4×D4—111no—
1319C4×D4—221no—
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×D4C22×D1111yescharacteristic
1332C4×D4C22×D1111yescharacteristic
1333#117—111no—
1334#117—111no—
1335#117—111no—
1336#117—221no—
1337#117—221no—
1338#117—221no—
1339#117C22×D1111yescharacteristic
1340#117C22×D1111yescharacteristic
1341C2×C4⋊C4—21no—
1342C2×C4⋊C4—111no—
1343C2×C4⋊C4—221no—
1344C2×C4⋊C4—221no—
1345C2×C4⋊C4—221no—
1346C2×C22⋊C4—221no—
1347C2×C22⋊C4—221no—
1348C2×C22⋊C4—221no—
1349C2×C22⋊C4—221no—
1350C2×C22⋊C4—221no—
1351#107—111no—
1352#107—111no—
1353#107C22×D1111yescharacteristic
1354#107C22×D1111yescharacteristic
1355#106—111no—
1356#106—111no—
1357#106—111no—
1358#106C22×D1111yescharacteristic
1359C4⋊C8—111no—
1360C4⋊C8—111no—
1361C4⋊C8—111no—
1362C4⋊C8C22×D1111yescharacteristic
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#103C22×D1111yescharacteristic
1381#103C22×D1111yescharacteristic
1382#103C22×D1111yescharacteristic
1383#102—111no—
1384#102—111no—
1385#102—111no—
1386#102—111no—
1387#102—111no—
1388#102—111no—
1389#102—111no—
1390#102—111no—
1391#102—111no—
1392#102C22×D1111yescharacteristic
1393#102C22×D1111yescharacteristic
1394#102C22×D1111yescharacteristic
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⋊C8—111no—
1405C22⋊C8C22×D1111yescharacteristic
1406C22⋊C8C22×D1111yescharacteristic
1407#97—111no—
1408#97—111no—
1409C4×C8—111no—
1410C4×C8C22×D1111yescharacteristic
1411C2×C11—41no—
1412C2×C11—42no—
1413C2×C11—41no—
1414C2×C11#348411yescharacteristic
1415C2×C11#358411yescharacteristic
1416C2×C11#358611yescharacteristic
1417D11—41no—
1418D11—41no—
1419D11—41no—
1420D11—81no—
1421D11—81no—
1422D11—81no—
1423C24—111no—
1424C24—221no—
1425C24—221no—
1426#41—22no—
1427#41—22no—
1428#41—41no—
1429#41—41no—
1430#41—222no—
1431#41—222no—
1432#41—222no—
1433#41—222no—
1434#41—441no—
1435#41—441no—
1436#41—441no—
1437#41—441no—
1438#41—441no—
1439#41—444no—
1440#41—444no—
1441#41—441no—
1442#41—444no—
1443#41—444no—
1444#41—441no—
1445#41—441no—
1446#41—441no—
1447#41—441no—
1448#41—444no—
1449C2×Q8—21no—
1450C2×Q8—111no—
1451C2×Q8—111no—
1452C2×Q8—111no—
1453C2×Q8—111no—
1454C2×Q8—221no—
1455C2×Q8—221no—
1456C2×Q8—221no—
1457C2×Q8—221no—
1458C2×Q8—221no—
1459C2×Q8—222no—
1460C2×Q8—221no—
1461C2×Q8—222no—
1462C2×Q8—222no—
1463C2×Q8—441no—
1464C2×Q8—444no—
1465C2×Q8—441no—
1466C2×Q8—441no—
1467C2×Q8—441no—
1468C2×Q8—441no—
1469C2×Q8—441no—
1470C2×Q8—441no—
1471C2×Q8C23×D1111yescharacteristic
1472C2×Q8C23×D1111yescharacteristic
1473C2×Q8C23×D1111yescharacteristic
1474C2×D4—21no—
1475C2×D4—21no—
1476C2×D4—111no—
1477C2×D4—111no—
1478C2×D4—111no—
1479C2×D4—111no—
1480C2×D4—111no—
1481C2×D4—111no—
1482C2×D4—111no—
1483C2×D4—111no—
1484C2×D4—111no—
1485C2×D4—221no—
1486C2×D4—221no—
1487C2×D4—221no—
1488C2×D4—221no—
1489C2×D4—221no—
1490C2×D4—221no—
1491C2×D4—221no—
1492C2×D4—221no—
1493C2×D4—221no—
1494C2×D4—221no—
1495C2×D4—222no—
1496C2×D4—221no—
1497C2×D4—221no—
1498C2×D4—221no—
1499C2×D4—221no—
1500C2×D4—221no—
1501C2×D4—221no—
1502C2×D4—441no—
1503C2×D4—441no—
1504C2×D4—441no—
1505C2×D4—444no—
1506C2×D4D4×D1111yescharacteristic
1507C2×D4C23×D1111yescharacteristic
1508C22×C4—21no—
1509C22×C4—21no—
1510C22×C4—21no—
1511C22×C4—111no—
1512C22×C4—111no—
1513C22×C4—111no—
1514C22×C4—111no—
1515C22×C4—111no—
1516C22×C4—111no—
1517C22×C4—221no—
1518C22×C4—221no—
1519C22×C4—221no—
1520C22×C4—221no—
1521C22×C4—221no—
1522C22×C4—221no—
1523C22×C4—221no—
1524C22×C4—221no—
1525C22×C4—221no—
1526C22×C4—221no—
1527C22×C4—221no—
1528C22×C4—221no—
1529C22×C4—221no—
1530C22×C4—221no—
1531C22×C4—221no—
1532C22×C4—441no—
1533C22×C4—441no—
1534C22×C4—444no—
1535C22×C4C23×D1111yescharacteristic
1536C22×C4C23×D1111yescharacteristic
1537Q16—41no—
1538Q16—41no—
1539Q16—222no—
1540Q16—222no—
1541Q16—441no—
1542Q16—441no—
1543Q16—441no—
1544Q16—441no—
1545SD16—22no—
1546SD16—222no—
1547SD16—222no—
1548SD16—222no—
1549SD16—441no—
1550SD16—441no—
1551SD16—441no—
1552SD16—441no—
1553SD16—441no—
1554SD16—441no—
1555SD16—441no—
1556SD16—441no—
1557D8—222no—
1558D8—222no—
1559D8—441no—
1560D8—441no—
1561M16—441no—
1562M16—441no—
1563M16—441no—
1564M16—441no—
1565C2×C8—41no—
1566C2×C8—41no—
1567C2×C8—111no—
1568C2×C8—111no—
1569C2×C8—111no—
1570C2×C8—111no—
1571C2×C8—441no—
1572C2×C8—441no—
1573C2×C8C23×D1111yescharacteristic
1574C2×C8C23×D1111yescharacteristic
1575C2×C8C23×D1111yescharacteristic
1576C2×C8C23×D1111yescharacteristic
1577C4⋊C4—21no—
1578C4⋊C4—21no—
1579C4⋊C4—21no—
1580C4⋊C4—21no—
1581C4⋊C4—21no—
1582C4⋊C4—21no—
1583C4⋊C4—21no—
1584C4⋊C4—21no—
1585C4⋊C4—111no—
1586C4⋊C4—111no—
1587C4⋊C4—111no—
1588C4⋊C4—111no—
1589C4⋊C4—111no—
1590C4⋊C4—111no—
1591C4⋊C4—111no—
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⋊C4D4×D1111yescharacteristic
1608C4⋊C4C23×D1111yescharacteristic
1609C4⋊C4C23×D1111yescharacteristic
1610C4⋊C4C23×D1111yescharacteristic
1611C4⋊C4C23×D1111yescharacteristic
1612C22⋊C4—21no—
1613C22⋊C4—21no—
1614C22⋊C4—21no—
1615C22⋊C4—21no—
1616C22⋊C4—21no—
1617C22⋊C4—21no—
1618C22⋊C4—21no—
1619C22⋊C4—111no—
1620C22⋊C4—111no—
1621C22⋊C4—111no—
1622C22⋊C4—111no—
1623C22⋊C4—111no—
1624C22⋊C4—111no—
1625C22⋊C4—111no—
1626C22⋊C4—111no—
1627C22⋊C4—221no—
1628C22⋊C4—221no—
1629C22⋊C4—221no—
1630C22⋊C4—221no—
1631C22⋊C4—221no—
1632C22⋊C4—221no—
1633C22⋊C4—221no—
1634C22⋊C4—221no—
1635C22⋊C4—221no—
1636C22⋊C4—221no—
1637C22⋊C4—221no—
1638C22⋊C4—221no—
1639C22⋊C4—221no—
1640C22⋊C4—221no—
1641C22⋊C4—221no—
1642C22⋊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⋊C4—221no—
1654C22⋊C4—221no—
1655C22⋊C4—221no—
1656C22⋊C4D4×D1111yescharacteristic
1657C22⋊C4D4×D1111yescharacteristic
1658C42—21no—
1659C42—21no—
1660C42—21no—
1661C42—111no—
1662C42—221no—
1663C42—221no—
1664C42—221no—
1665C42—221no—
1666C42—221no—
1667C42C23×D1111yescharacteristic
1668C11#6162711yescharacteristic, complemented, Sylow
1669C23—21no—
1670C23—111no—
1671C23—111no—
1672C23—111no—
1673C23—221no—
1674C23—221no—
1675C23—221no—
1676C23—441no—
1677C23—441no—
1678C23—441no—
1679C23—442no—
1680C23—442no—
1681C23—881no—
1682C23—881no—
1683C23—881no—
1684C23—881no—
1685C23C2×D4×D1111yescharacteristic
1686C23C2×D4×D1111yescharacteristic
1687Q8—21no—
1688Q8—21no—
1689Q8—21no—
1690Q8—21no—
1691Q8—21no—
1692Q8—21no—
1693Q8—81no—
1694Q8—112no—
1695Q8—221no—
1696Q8—221no—
1697Q8—221no—
1698Q8—221no—
1699Q8—221no—
1700Q8—441no—
1701Q8—442no—
1702Q8—442no—
1703Q8—442no—
1704Q8—442no—
1705Q8—881no—
1706Q8—881no—
1707D4—21no—
1708D4—41no—
1709D4—42no—
1710D4—42no—
1711D4—224no—
1712D4—221no—
1713D4—221no—
1714D4—221no—
1715D4—221no—
1716D4—221no—
1717D4—221no—
1718D4—441no—
1719D4—441no—
1720D4—442no—
1721D4—441no—
1722D4—441no—
1723D4—441no—
1724D4—441no—
1725D4—442no—
1726D4—442no—
1727D4—442no—
1728D4—881no—
1729D4—881no—
1730D4—881no—
1731D4—881no—
1732D4—881no—
1733D4—881no—
1734D4—881no—
1735D4—881no—
1736D4—881no—
1737D4—881no—
1738D4—881no—
1739D4#6704212yes—
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—21no—
1751C2×C4—42no—
1752C2×C4—42no—
1753C2×C4—81no—
1754C2×C4—111no—
1755C2×C4—111no—
1756C2×C4—111no—
1757C2×C4—111no—
1758C2×C4—111no—
1759C2×C4—224no—
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—221no—
1771C2×C4—441no—
1772C2×C4—441no—
1773C2×C4—442no—
1774C2×C4—442no—
1775C2×C4—442no—
1776C2×C4—442no—
1777C2×C4—442no—
1778C2×C4—441no—
1779C2×C4—442no—
1780C2×C4—442no—
1781C2×C4—881no—
1782C2×C4—881no—
1783C2×C4—881no—
1784C2×C4—881no—
1785C2×C4—881no—
1786C2×C4—881no—
1787C2×C4—881no—
1788C2×C4C2×D4×D1111yescharacteristic
1789C2×C4C2×D4×D1111yescharacteristic
1790C2×C4C2×D4×D1111yescharacteristic
1791C2×C4C2×D4×D1111yescharacteristic
1792C2×C4C24×D1111yescharacteristic
1793C8—21no—
1794C8—21no—
1795C8—21no—
1796C8—21no—
1797C8—221no—
1798C8—221no—
1799C8—221no—
1800C8—221no—
1801C22—21no—
1802C22—21no—
1803C22—21no—
1804C22—21no—
1805C22—22no—
1806C22—21no—
1807C22—21no—
1808C22—41no—
1809C22—41no—
1810C22—221no—
1811C22—221no—
1812C22—221no—
1813C22—221no—
1814C22—221no—
1815C22—221no—
1816C22—221no—
1817C22—221no—
1818C22—221no—
1819C22—441no—
1820C22—441no—
1821C22—441no—
1822C22—441no—
1823C22—441no—
1824C22—441no—
1825C22—441no—
1826C22—441no—
1827C22—441no—
1828C22—882no—
1829C22—884no—
1830C22—1762no—
1831C22C22×D4×D1111yescharacteristic
1832C4—21no—
1833C4—21no—
1834C4—21no—
1835C4—21no—
1836C4—41no—
1837C4—41no—
1838C4—41no—
1839C4—41no—
1840C4—41no—
1841C4—41no—
1842C4—41no—
1843C4—221no—
1844C4—221no—
1845C4—221no—
1846C4—221no—
1847C4—222no—
1848C4—221no—
1849C4—441no—
1850C4—441no—
1851C4—441no—
1852C4—441no—
1853C4C2×#6704211yescharacteristic
1854C4D11×H(5,𝔽2)11yescharacteristic
1855C2—41no—
1856C2—41no—
1857C2—42no—
1858C2—441no—
1859C2—441no—
1860C2—441no—
1861C2—881no—
1862C2—881no—
1863C2—881no—
1864C2#1308224611yescharacteristic
1865C2#1308338511yescharacteristic
1866C2#1308340111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3302C2
socleC22×C11C23×D4
hypercenter#3302D11
hypocenterC11#61627
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3302

Complements

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

NH ≅ G/Ntype
1. #13082892C2semidirect
2. #13082290C2semidirect
3. #13080909C2semidirect
4. #13080897C2semidirect
5. #13080800C2semidirect
6. #13080769C2semidirect
7. #13080676C2semidirect
8. #13080648C2semidirect
9. #13080540C2semidirect
10. #13080360C2semidirect
11. #13080328C2semidirect
12. #13080249C2semidirect
13. #13080220C2semidirect
14. #13080192C2semidirect
15. #13080175C2semidirect
16. #13080142C2semidirect
17. #13080123C2semidirect
18. #13079732C2semidirect
19. #13079728C2semidirect
20. #13079501C2semidirect
21. #13079474C2semidirect
22. #13079450C2semidirect
23. #13079398C2semidirect
24. #13078889C2semidirect
25. #13078883C2semidirect
26. #13077908C2semidirect
27. #13077905C2semidirect
28. #13077859C2semidirect
29. #13077836C2semidirect
30. #13077658C2semidirect
31. C11×#3302C2semidirect
33. C2×#41×D11C22semidirect
34. C11×#556C22semidirect
37. #10623355C22semidirect
39. C2×#67002C22semidirect
41. C2×Q16×D11C22semidirect
42. C2×#66968C22semidirect
45. C22×#4314C22semidirect
47. #10623264C22semidirect
48. #10623258C22semidirect
49. #10623255C22semidirect
60. #10623164C22semidirect
61. #10623164C22semidirect
65. #10623159C22semidirect
67. D11×C22⋊Q8C22semidirect
72. #10623113C22semidirect
74. #10623085C22semidirect
76. #10623081C22semidirect
78. #10623077C22semidirect
80. #10623063C22semidirect
81. #10623056C22semidirect
85. C11×#487C22semidirect
86. C11×#485C22semidirect
87. C11×#485C22semidirect
88. C11×#474C22semidirect
89. C11×#467C22semidirect
90. C11×#467C22semidirect
91. C11×#462C22semidirect
92. C11×#452C22semidirect
93. C11×#452C22semidirect
94. C4×C11×SD16C22semidirect
95. C8×D4×C11C22semidirect
96. C11×#416C22semidirect
97. C11×#416C22semidirect
98. #10622852C22semidirect
100. #10622804C22semidirect
101. #10622803C22semidirect
103. #10622800C22semidirect
104. #10622799C22semidirect
105. #10622799C22semidirect
106. #10622786C22semidirect
107. #10622778C22semidirect
108. #10622727C22semidirect
109. #10622727C22semidirect
111. #10622723C22semidirect
112. C8×C22⋊D11C22semidirect
113. C2×(C2×D11)⋊C8C22semidirect
114. #10622704C22semidirect
115. #10622702C22semidirect
116. #10622699C22semidirect
117. #10622696C22semidirect
118. #10622665C22semidirect
119. #10622664C22semidirect
120. #10622663C22semidirect
121. #10622662C22semidirect
122. #10622661C22semidirect
123. #10622660C22semidirect
124. #10622660C22semidirect
125. #10622659C22semidirect
126. #10622643C22semidirect
127. #10622641C22semidirect
128. #10622629C22semidirect
129. #10622627C22semidirect
130. #10622624C22semidirect
131. #10622617C22semidirect
132. #10622616C22semidirect
133. #10622615C22semidirect
134. #10622609C22semidirect
135. #10622502C22semidirect
136. #10622501C22semidirect
138. #10622498C22semidirect
139. #10622497C22semidirect
140. #10622496C22semidirect
141. #10622495C22semidirect
142. #10622486C22semidirect
143. #10622481C22semidirect
144. #10622478C22semidirect
145. #10622476C22semidirect
146. #10622467C22semidirect
147. #10622458C22semidirect
148. #10622457C22semidirect
149. #10622453C22semidirect
150. #10622449C22semidirect
151. #10622432C22semidirect
152. #10622431C22semidirect
153. #10622429C22semidirect
154. #10622428C22semidirect
155. #10622428C22semidirect
157. #10622425C22semidirect
161. #10622423C22semidirect
162. #10622421C22semidirect
163. #10622421C22semidirect
164. #10622420C22semidirect
166. #10622419C22semidirect
167. #10622419C22semidirect
168. #10622419C22semidirect
169. #10622419C22semidirect
170. #10622419C22semidirect
171. #10622418C22semidirect
172. #10622415C22semidirect
173. #10622415C22semidirect
174. #10622411C22semidirect
175. #10622411C22semidirect
176. #10622408C22semidirect
177. #10622406C22semidirect
178. #10622405C22semidirect
179. #10622396C22semidirect
182. #10622394C22semidirect
183. #10622394C22semidirect
184. #10622389C22semidirect
186. #10622385C22semidirect
187. #10622383C22semidirect
188. #10622374C22semidirect
189. #10622370C22semidirect
190. #10622369C22semidirect
191. #10622352C22semidirect
193. #10622346C22semidirect
194. #10622345C22semidirect
195. #10622343C22semidirect
197. #10622340C22semidirect
198. #10622339C22semidirect
199. #10622309C22semidirect
200. C4×#4314C22semidirect
201. #10622303C22semidirect
202. #10622301C22semidirect
745. #3302D11semidirect
913. #556C2×D11semidirect
959. #487C2×D11semidirect
964. #485C2×D11semidirect
965. #485C2×D11semidirect
975. #474C2×D11semidirect
985. #467C2×D11semidirect
986. #467C2×D11semidirect
1001. #462C2×D11semidirect
1014. #452C2×D11semidirect
1015. #452C2×D11semidirect
1046. C4×SD16C2×D11semidirect
1055. C8×D4C2×D11semidirect
1064. #416C2×D11semidirect
1065. #416C2×D11semidirect
1668. C11#61627semidirect

Maximal subgroups

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

subgroupindex
#130828922
#130822902
#130809092
#130808972
#130808002
#130807692
#130806762
#130806482
#130805402
#130803602
#130803282
#130802492
#130802202
#130801922
#130801752
#130801422
#130801232
#130797322
#130797282
#130795012
#130794742
#130794502
#130793982
#130788892
#130788832
#130779082
#130779052
#130778592
#130778362
#130776582
C11×#33022
#6162711