Finite Group Databasebeta

← #15629349

Subgroups — #15629349

Order 2816.

2682 conjugacy classes of subgroups.

The subgroup lattice has 2020 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623302C211yesmaximal, characteristic, complemented
2C2×#10623304C211yesmaximal, characteristic, complemented
3#13082290C211yesmaximal, characteristic, complemented
4#13082287C211yesmaximal, characteristic, complemented
5#13080265C211yesmaximal, characteristic, complemented
6#13080260C211yesmaximal, characteristic, complemented
7#13080260C211yesmaximal, characteristic, complemented
8#13080258C211yesmaximal, characteristic, complemented
9#13080253C211yesmaximal, characteristic, complemented
10#13080251C211yesmaximal, characteristic, complemented
11#13080245C211yesmaximal, characteristic, complemented
12#13080243C211yesmaximal, characteristic, complemented
13#13080193C211yesmaximal, characteristic, complemented
14#13080191C211yesmaximal, characteristic, complemented
15#13080185C211yesmaximal, characteristic, complemented
16#13080183C211yesmaximal, characteristic, complemented
17#13080143C211yesmaximal, characteristic, complemented
18#13080141C211yesmaximal, characteristic, complemented
19#13080135C211yesmaximal, characteristic, complemented
20#13079108C211yesmaximal, characteristic, complemented
21#13078273C211yesmaximal, characteristic, complemented
22D11×#470C211yesmaximal, characteristic, complemented
23#13078167C211yesmaximal, characteristic, complemented
24#13078161C211yesmaximal, characteristic, complemented
25#13077935C211yesmaximal, characteristic, complemented
26#13077929C211yesmaximal, characteristic, complemented
27#13077873C211yesmaximal, characteristic, complemented
28#13077871C211yesmaximal, characteristic, complemented
29#13077498C211yesmaximal, characteristic, complemented
30#13077314C211yesmaximal, characteristic, complemented
31C11×#3267C211yesmaximal, characteristic, complemented
32C2×#67043C2211yescharacteristic, complemented
33C2×#67043C2211yescharacteristic, complemented
34C2×#41×D11C2211yescharacteristic
35C22×#4341C2211yescharacteristic
36C2×C11×AGL(1,ℤ/8)C2211yescharacteristic
37C2×C11×#135C2211yescharacteristic, complemented
38C11×#547C2211yescharacteristic
39C11×#546C2211yescharacteristic, complemented
40#10623360C2211yescharacteristic, complemented
41#10623355C2211yescharacteristic
42#10623355C2211yescharacteristic
43C2×#67004C2211yescharacteristic
44C2×#67004C2211yescharacteristic, complemented
45C2×#67004C2211yescharacteristic, complemented
46#10623337C2211yescharacteristic, complemented
47C2×#66985C2211yescharacteristic
48#10623304—28no—
49#10623302—28no—
50C2×#66971C2211yescharacteristic, complemented
51C2×Q16×D11C2211yescharacteristic, complemented
52C2×Q16×D11C2211yescharacteristic, complemented
53C2×#66969C2211yescharacteristic
54C2×#66969C2211yescharacteristic
55C2×#66968C2211yescharacteristic
56C2×#66968C2211yescharacteristic
57C2×#66968C2211yescharacteristic, complemented
58C2×#66968C2211yescharacteristic, complemented
59C2×#66968C2211yescharacteristic, complemented
60C2×#66968C2211yescharacteristic, complemented
61C2×#66968C2211yescharacteristic, complemented
62C2×#66965C2211yescharacteristic
63C2×#66965C2211yescharacteristic
64C2×#66965C2211yescharacteristic, complemented
65C2×#66964C2211yescharacteristic
66C2×#66964C2211yescharacteristic
67C2×#66962C2211yescharacteristic
68C2×M16×D11C2211yescharacteristic
69C22×Dic44C2211yescharacteristic, complemented
70C2×#66954C2211yescharacteristic, complemented
71#10623258C2211yescharacteristic, complemented
72#10623255C2211yescharacteristic, complemented
73#10623208C2211yescharacteristic
74#10623206C2211yescharacteristic, complemented
75#10623187—21no—
76#10623186—21no—
77#10623186—21no—
78#10623185—21no—
79#10623179—21no—
80#10623179—21no—
81#10623164C2211yescharacteristic
82#10623163C2211yescharacteristic, complemented
83#10623163C2211yescharacteristic, complemented
84#10623160C2211yescharacteristic, complemented
85D11×C22⋊Q8C2211yescharacteristic
86D11×C22⋊Q8C2211yescharacteristic
87#10623142—21no—
88#10623141—21no—
89#10623139C2211yescharacteristic, complemented
90#10623129C2211yescharacteristic
91#10623128—21no—
92#10623128—21no—
93#10623122—21no—
94#10623117—21no—
95#10623086C2211yescharacteristic
96#10623085C2211yescharacteristic, complemented
97#10623083C2211yescharacteristic
98#10623078C2211yescharacteristic
99#10623077C2211yescharacteristic, complemented
100#10623077C2211yescharacteristic, complemented
101D4×Dic22C2211yescharacteristic, complemented
102C2×#66949—21no—
103#10623038—21no—
104#10623021—21no—
105C2×#66931—21no—
106C11×#497C2211yescharacteristic, complemented
107C11×#470C2211yescharacteristic, complemented
108C11×#465C2211yescharacteristic, complemented
109C11×#463C2211yescharacteristic, complemented
110C11×#461C2211yescharacteristic, complemented
111C11×#452C2211yescharacteristic
112C11×#452C2211yescharacteristic, complemented
113C11×#450C2211yescharacteristic, complemented
114C11×#449C2211yescharacteristic, complemented
115C11×#442C2211yescharacteristic, complemented
116C11×#435C2211yescharacteristic, complemented
117#10622852C2211yescharacteristic
118#10622852C2211yescharacteristic, complemented
119#10622851C2211yescharacteristic, complemented
120#10622831C2211yescharacteristic, complemented
121#10622803C2211yescharacteristic, complemented
122#10622802C2211yescharacteristic, complemented
123#10622799C2211yescharacteristic, complemented
124#10622799C2211yescharacteristic, complemented
125#10622794C2211yescharacteristic, complemented
126#10622786C2211yescharacteristic
127#10622786C2211yescharacteristic
128#10622786C2211yescharacteristic, complemented
129#10622784C2211yescharacteristic, complemented
130#10622783C2211yescharacteristic, complemented
131#10622782C2211yescharacteristic, complemented
132#10622781C2211yescharacteristic, complemented
133#10622780C2211yescharacteristic, complemented
134#10622778C2211yescharacteristic, complemented
135#10622775C2211yescharacteristic, complemented
136#10622775C2211yescharacteristic, complemented
137#10622771C2211yescharacteristic, complemented
138#10622766C2211yescharacteristic, complemented
139#10622765C2211yescharacteristic, complemented
140#10622750C2211yescharacteristic, complemented
141#10622740C2211yescharacteristic, complemented
142#10622727C2211yescharacteristic, complemented
143#10622724C2211yescharacteristic, complemented
144#10622705C2211yescharacteristic, complemented
145#10622703C2211yescharacteristic, complemented
146#10622672C2211yescharacteristic, complemented
147#10622667C2211yescharacteristic, complemented
148#10622665C2211yescharacteristic, complemented
149#10622665C2211yescharacteristic, complemented
150#10622665C2211yescharacteristic, complemented
151#10622663C2211yescharacteristic, complemented
152#10622663C2211yescharacteristic, complemented
153#10622660C2211yescharacteristic
154#10622653C2211yescharacteristic, complemented
155#10622652C2211yescharacteristic, complemented
156#10622632C2211yescharacteristic, complemented
157C4×#4324C2211yescharacteristic, complemented
158C4×#4324C2211yescharacteristic, complemented
159#10622629C2211yescharacteristic, complemented
160#10622625C2211yescharacteristic, complemented
161#10622481C2211yescharacteristic, complemented
162#10622477C2211yescharacteristic, complemented
163D11×#106C2211yescharacteristic, complemented
164#10622466C2211yescharacteristic, complemented
165#10622462C2211yescharacteristic, complemented
166#10622458C2211yescharacteristic, complemented
167#10622452C2211yescharacteristic, complemented
168#10622451C2211yescharacteristic, complemented
169#10622429C2211yescharacteristic, complemented
170#10622429C2211yescharacteristic, complemented
171#10622429C2211yescharacteristic, complemented
172#10622421C2211yescharacteristic, complemented
173#10622421C2211yescharacteristic, complemented
174#10622419C2211yescharacteristic, complemented
175#10622416C2211yescharacteristic, complemented
176D11×#103C2211yescharacteristic, complemented
177D11×#103C2211yescharacteristic, complemented
178#10622411C2211yescharacteristic, complemented
179#10622406C2211yescharacteristic, complemented
180#10622406C2211yescharacteristic, complemented
181#10622396C2211yescharacteristic
182#10622396C2211yescharacteristic
183#10622396C2211yescharacteristic, complemented
184#10622395C2211yescharacteristic, complemented
185#10622394C2211yescharacteristic, complemented
186#10622389C2211yescharacteristic, complemented
187#10622384C2211yescharacteristic, complemented
188#10622384C2211yescharacteristic, complemented
189#10622384C2211yescharacteristic, complemented
190#10622380C2211yescharacteristic, complemented
191#10622371C2211yescharacteristic, complemented
192#10622371C2211yescharacteristic, complemented
193#10622352C2211yescharacteristic, complemented
194#10622352C2211yescharacteristic, complemented
195#10622351C2211yescharacteristic, complemented
196#10622346C2211yescharacteristic
197#10622342C2211yescharacteristic, complemented
198#10622342C2211yescharacteristic, complemented
199#10622340C2211yescharacteristic, complemented
200#10622339C2211yescharacteristic
201#10622329C2211yescharacteristic, complemented
202#10622328C2211yescharacteristic, complemented
203#10622321C2211yescharacteristic, complemented
204#10622319C2211yescharacteristic, complemented
205C2×C11×#41C2311yescharacteristic
206C2×C11×#41C2311yescharacteristic
207C2×C11×#41C2311yescharacteristic
208C22×D4×C11C2311yescharacteristic
209C22×C22⋊D11—21no—
210C23×Dic11—21no—
211#67043—24no—
212#67043—24no—
213#67043—42no—
214#67043—42no—
215#41×D11—24no—
216#41×D11—42no—
217C2×#4343C2311yescharacteristic
218C2×Q8×D11C2311yescharacteristic
219C2×Q8×D11C2311yescharacteristic
220C2×Q8×D11C2311yescharacteristic
221C2×Q8×D11C2311yescharacteristic
222C2×Q8×D11C2311yescharacteristic
223C2×#4341—24no—
224C2×#4341—21no—
225C2×#4341—21no—
226C2×#4341—21no—
227C2×#4341—21no—
228C2×#4341—21no—
229C2×#4341—21no—
230C2×#4341—21no—
231C2×#4341—42no—
232C2×#4341C2311yescharacteristic
233C2×#4341C2311yescharacteristic
234C2×#4341C2311yescharacteristic
235C2×#4341C2311yescharacteristic
236C2×#4341C2311yescharacteristic
237C2×#4341C2311yescharacteristic
238C2×#4341C2311yescharacteristic
239C2×D4×D11—21no—
240C2×D4×D11C2311yescharacteristic
241C2×#4339—21no—
242C2×#4339—21no—
243C2×#4339—21no—
244C2×#4339C2311yescharacteristic
245C2×#4339C2311yescharacteristic
246C22×C4×D11—21no—
247C22×C4×D11C2311yescharacteristic
248C22×Dic22—21no—
249C22×Dic22—21no—
250C22×Dic22C2311yescharacteristic
251C22×Dic22C2311yescharacteristic
252C22×Dic22C2311yescharacteristic
253C11×AGL(1,ℤ/8)—24no—
254C11×#135—24no—
255C2×C11×Q16C2311yescharacteristic
256C2×C11×Q16C2311yescharacteristic
257C2×C11×SD16C2311yescharacteristic
258C2×C11×SD16C2311yescharacteristic
259C2×C11×SD16C2311yescharacteristic
260C2×C11×SD16C2311yescharacteristic
261C2×C11×SD16C2311yescharacteristic
262C2×C11×D8C2311yescharacteristic
263C2×C11×D8C2311yescharacteristic
264C2×C11×M16C2311yescharacteristic
265C22×C8×C11C2311yescharacteristic
266C11×C4⋊Q8C2311yescharacteristic
267C11×#124C2311yescharacteristic
268C11×#123—21no—
269C11×#123—21no—
270C11×#123—21no—
271C11×C22⋊Q8C2311yescharacteristic
272C11×C22⋊Q8C2311yescharacteristic
273C11×C22⋊Q8C2311yescharacteristic
274C11×#121—21no—
275C11×#121—21no—
276C11×#121C2311yescharacteristic
277C11×#120—21no—
278C4×D4×C11C2311yescharacteristic
279C4×D4×C11C2311yescharacteristic
280C4×D4×C11C2311yescharacteristic
281C2×C11×C4⋊C4—21no—
282C2×C11×C22⋊C4—21no—
283#67006—21no—
284C2×C22⋊Dic11—21no—
285#67004—24no—
286#67004—24no—
287#67004—24no—
288#67000C2311yescharacteristic
289#66999C2311yescharacteristic
290#66999C2311yescharacteristic
291#66999C2311yescharacteristic
292#66997C2311yescharacteristic
293#66997C2311yescharacteristic
294C2×#4326C2311yescharacteristic
295C2×#4326C2311yescharacteristic
296C2×#4326C2311yescharacteristic
297C2×#4326C2311yescharacteristic
298C2×#4326C2311yescharacteristic
299C2×#4326C2311yescharacteristic
300C2×#4326C2311yescharacteristic
301C2×#4326C2311yescharacteristic
302C2×#4325C2311yescharacteristic
303#66992—21no—
304#66992—21no—
305#66992—21no—
306#66992—21no—
307#66992—21no—
308#66992—21no—
309#66992—21no—
310#66992D411yescharacteristic
311#66991—21no—
312#66991C2311yescharacteristic
313#66990—21no—
314#66990D411yescharacteristic
315#66989C2311yescharacteristic
316#66988—21no—
317#66988—21no—
318#66988—21no—
319D4×Dic11—21no—
320D4×Dic11—21no—
321D4×Dic11C2311yescharacteristic
322D4×Dic11C2311yescharacteristic
323C2×#4324C2311yescharacteristic
324C2×#4324C2311yescharacteristic
325C2×#4324C2311yescharacteristic
326C2×#4324C2311yescharacteristic
327C2×#4324C2311yescharacteristic
328C2×#4324C2311yescharacteristic
329C2×#4324C2311yescharacteristic
330#66985—24no—
331C2×#4323C2311yescharacteristic
332C2×#4323C2311yescharacteristic
333#66983—21no—
334#66983—21no—
335#66983C2311yescharacteristic
336#66982—21no—
337#66982—21no—
338#66982—21no—
339C4×C22⋊D11—21no—
340C4×C22⋊D11—21no—
341C4×C22⋊D11C2311yescharacteristic
342C4×C22⋊D11C2311yescharacteristic
343C2×(C2×D11)⋊C4—21no—
344C2×(C2×D11)⋊C4—21no—
345C2×C4⋊Dic11—21no—
346#66977C2311yescharacteristic
347#66977C2311yescharacteristic
348#66977C2311yescharacteristic
349C2×Dic11⋊C4—21no—
350C2×Dic11⋊C4—21no—
351C2×Dic11⋊C4—21no—
352C2×Dic11⋊C4—21no—
353C2×#4318C2311yescharacteristic
354C2×#4318C2311yescharacteristic
355#66971—42no—
356Q16×D11—24no—
357Q16×D11—24no—
358#66969—24no—
359#66969—24no—
360#66968—24no—
361#66968—24no—
362#66968—24no—
363#66968—24no—
364#66968—24no—
365#66968—24no—
366#66968—42no—
367#66965—24no—
368#66965—24no—
369#66965D418yescomplemented
370#66964—24no—
371#66964—24no—
372#66962—24no—
373M16×D11—24no—
374C2×Dic44—24no—
375C2×Dic44C2311yescharacteristic
376C2×Dic44C2311yescharacteristic
377C2×Dic44C2311yescharacteristic
378C2×Dic44C2311yescharacteristic
379C2×Dic44C2311yescharacteristic
380C2×Dic44C2311yescharacteristic
381C2×#4314C2311yescharacteristic
382C2×#4314C2311yescharacteristic
383C2×#4314C2311yescharacteristic
384#66954—24no—
385C2×#4313C2311yescharacteristic
386C2×#4313C2311yescharacteristic
387C2×#4313C2311yescharacteristic
388C2×#4313C2311yescharacteristic
389C2×#4313C2311yescharacteristic
390C2×C8×D11C2311yescharacteristic
391C2×C8×D11C2311yescharacteristic
392C2×C8×D11C2311yescharacteristic
393#66950C2311yescharacteristic
394#66950C2311yescharacteristic
395#66950C2311yescharacteristic
396#66949—21no—
397#66949—21no—
398#66949—21no—
399#66949—21no—
400#66949—21no—
401#66949—21no—
402#66949—21no—
403#66949—21no—
404#66949—21no—
405#66949—21no—
406#66949—21no—
407#66949D411yescharacteristic
408#66948—21no—
409#66948C2311yescharacteristic
410#66947—21no—
411#66947—21no—
412#66947D411yescharacteristic
413#66946—21no—
414#66946—21no—
415C4⋊C4×D11—21no—
416C4⋊C4×D11—21no—
417C4⋊C4×D11C2311yescharacteristic
418C4⋊C4×D11C2311yescharacteristic
419#66941—21no—
420#66941—21no—
421#66941—21no—
422#66941—21no—
423#66940C2311yescharacteristic
424#66940C2311yescharacteristic
425#66939—21no—
426#66939—21no—
427#66939—21no—
428#66938—21no—
429#66938—21no—
430#66938—21no—
431#66938—21no—
432#66937—21no—
433#66937—21no—
434#66937—21no—
435#66937—21no—
436#66937—21no—
437#66937D411yescharacteristic
438#66936—21no—
439#66936—21no—
440#66936D411yescharacteristic
441#66935—21no—
442#66935D411yescharacteristic
443(C22⋊D11)⋊C4—21no—
444(C22⋊D11)⋊C4—21no—
445(C22⋊D11)⋊C4—21no—
446(C22⋊D11)⋊C4—21no—
447(C22⋊D11)⋊C4—21no—
448(C22⋊D11)⋊C4—21no—
449C22⋊C4×D11—21no—
450C22⋊C4×D11—21no—
451#66931—21no—
452#66931—21no—
453#66931—21no—
454#66931—21no—
455#66931—21no—
456#66931—21no—
457#66931—21no—
458#66931—21no—
459#66931—21no—
460#66931—21no—
461#66931—21no—
462#66931D411yescharacteristic
463#66930—21no—
464#66930—21no—
465#66928C2311yescharacteristic
466C4×D44C2311yescharacteristic
467#66925C2311yescharacteristic
468#66922C2311yescharacteristic
469C4×Dic22C2311yescharacteristic
470C4×Dic22C2311yescharacteristic
471C11×#106C2311yescharacteristic
472C11×C4⋊C8C2311yescharacteristic
473C11×#103C2311yescharacteristic
474C11×#103C2311yescharacteristic
475C11×#103C2311yescharacteristic
476C11×#102C2311yescharacteristic
477C11×#102C2311yescharacteristic
478C11×#102C2311yescharacteristic
479C11×C22⋊C8C2311yescharacteristic
480C11×C22⋊C8C2311yescharacteristic
481C11×#97C2311yescharacteristic
482#66899C2311yescharacteristic
483#66899C2311yescharacteristic
484#66899C2311yescharacteristic
485#66896C2311yescharacteristic
486#66896C2311yescharacteristic
487#66896C2311yescharacteristic
488C22⋊(C11⋊C8)C2311yescharacteristic
489C22⋊(C11⋊C8)C2311yescharacteristic
490#66885C2311yescharacteristic
491(C2×D11)⋊C8C2311yescharacteristic
492(C2×D11)⋊C8C2311yescharacteristic
493(C2×D11)⋊C8C2311yescharacteristic
494(C2×D11)⋊C8C2311yescharacteristic
495#66881C2311yescharacteristic
496#66880C2311yescharacteristic
497#66880C2311yescharacteristic
498#66880C2311yescharacteristic
499#66880C2311yescharacteristic
500#66880C2311yescharacteristic
501#66879C2311yescharacteristic
502Dic11⋊C8C2311yescharacteristic
503Dic11⋊C8C2311yescharacteristic
504C8×Dic11C2311yescharacteristic
505#66874C2311yescharacteristic
506#66874C2311yescharacteristic
507#66874C2311yescharacteristic
508#66874C2311yescharacteristic
509#66874C2311yescharacteristic
510#66873C2311yescharacteristic
511#66872C2311yescharacteristic
512#66872C2311yescharacteristic
513C4⋊(C11⋊C8)C2311yescharacteristic
514C4×C11⋊C8C2311yescharacteristic
515#61064—111nomaximal, Sylow
516C24×C11—21no—
517C23×D11—21no—
518C23×D11C2×D411yescharacteristic
519C11×#41—22no—
520C11×#41—22no—
521C11×#41—22no—
522C11×#41—41no—
523C11×#41—41no—
524C11×#41—41no—
525C2×Q8×C11C2411yescharacteristic
526C2×Q8×C11C2411yescharacteristic
527C2×Q8×C11C2411yescharacteristic
528C2×D4×C11—22no—
529C2×D4×C11—21no—
530C2×D4×C11—21no—
531C2×D4×C11—21no—
532C2×D4×C11—21no—
533C2×D4×C11—21no—
534C2×D4×C11—41no—
535C2×D4×C11C2×D411yescharacteristic
536C2×D4×C11C2411yescharacteristic
537C2×D4×C11C2411yescharacteristic
538C2×D4×C11C2411yescharacteristic
539C22×C4×C11—21no—
540C22×C4×C11—21no—
541C22×C4×C11—21no—
542C22×C4×C11—21no—
543C22×C4×C11—21no—
544C22×C4×C11C2411yescharacteristic
545C22×C4×C11C2411yescharacteristic
546C2×C22⋊D11—21no—
547C2×C22⋊D11—21no—
548C2×C22⋊D11—21no—
549C2×C22⋊D11—21no—
550C2×C22⋊D11—21no—
551C2×C22⋊D11—21no—
552C2×C22⋊D11—21no—
553C2×C22⋊D11—21no—
554C2×C22⋊D11—21no—
555C2×C22⋊D11—21no—
556C2×C22⋊D11—21no—
557C2×C22⋊D11—44no—
558C2×C22⋊D11C2×D411yescharacteristic
559C2×C22⋊D11C2×D411yescharacteristic
560C2×C22⋊D11C2×D411yescharacteristic
561C2×C22⋊D11C2×D411yescharacteristic
562C22×Dic11—21no—
563C22×Dic11—21no—
564C22×Dic11—21no—
565C22×Dic11—21no—
566C22×Dic11—21no—
567C22×Dic11—21no—
568C22×Dic11—21no—
569C22×Dic11—21no—
570C22×Dic11—21no—
571C22×Dic11—21no—
572C22×Dic11—21no—
573C22×Dic11—21no—
574C22×Dic11—44no—
575C22×Dic11C2×D411yescharacteristic
576#4343—22no—
577#4343—22no—
578Q8×D11—22no—
579Q8×D11—22no—
580Q8×D11—22no—
581Q8×D11—22no—
582Q8×D11—22no—
583Q8×D11—22no—
584Q8×D11—22no—
585Q8×D11—41no—
586Q8×D11—41no—
587Q8×D11—41no—
588#4341—22no—
589#4341—22no—
590#4341—22no—
591#4341—22no—
592#4341—22no—
593#4341—22no—
594#4341—22no—
595#4341—22no—
596#4341—41no—
597#4341—41no—
598#4341—41no—
599#4341—41no—
600#4341—44no—
601#4341—44no—
602#4341—44no—
603#4341—44no—
604#4341—44no—
605#4341—44no—
606#4341—44no—
607#4341C2×D414yes—
608#4341C2×D414yes—
609D4×D11—22no—
610D4×D11—41no—
611D4×D11—44no—
612#4339—22no—
613#4339—22no—
614#4339—22no—
615#4339—41no—
616#4339—44no—
617#4339—44no—
618#4339—44no—
619C2×D44—21no—
620C2×D44—21no—
621C2×D44C2×D411yescharacteristic
622C2×D44C2×D411yescharacteristic
623C2×D44C2411yescharacteristic
624C2×C4×D11—22no—
625C2×C4×D11—22no—
626C2×C4×D11—21no—
627C2×C4×D11—21no—
628C2×C4×D11—21no—
629C2×C4×D11—21no—
630C2×C4×D11—21no—
631C2×C4×D11—21no—
632C2×C4×D11—21no—
633C2×C4×D11—21no—
634C2×C4×D11—21no—
635C2×C4×D11—44no—
636C2×C4×D11C2×D411yescharacteristic
637C2×C4×D11C2×D411yescharacteristic
638C2×C4×D11C2411yescharacteristic
639C2×C4×D11C2411yescharacteristic
640C2×C4×D11C2411yescharacteristic
641C2×Dic22—22no—
642C2×Dic22—22no—
643C2×Dic22—22no—
644C2×Dic22—21no—
645C2×Dic22—21no—
646C2×Dic22—21no—
647C2×Dic22—21no—
648C2×Dic22—21no—
649C2×Dic22—21no—
650C2×Dic22—21no—
651C2×Dic22—21no—
652C2×Dic22—41no—
653C2×Dic22—41no—
654C2×Dic22—41no—
655C2×Dic22—44no—
656C2×Dic22—44no—
657C2×Dic22C2×D411yescharacteristic
658C2×Dic22C2411yescharacteristic
659C2×Dic22C2411yescharacteristic
660C2×Dic22C2411yescharacteristic
661C2×Dic22C2411yescharacteristic
662C2×Dic22C2411yescharacteristic
663C11×Q16—22no—
664C11×Q16—41no—
665C11×SD16—22no—
666C11×SD16—22no—
667C11×SD16—22no—
668C11×SD16—22no—
669C11×SD16—41no—
670C11×D8—22no—
671C11×D8C2×D414yes—
672C11×M16—22no—
673C2×C8×C11—22no—
674C2×C8×C11C2411yescharacteristic
675C2×C8×C11C2411yescharacteristic
676C2×C8×C11C2411yescharacteristic
677C2×C8×C11C2411yescharacteristic
678C11×C4⋊C4—21no—
679C11×C4⋊C4—21no—
680C11×C4⋊C4—21no—
681C11×C4⋊C4—21no—
682C11×C4⋊C4—21no—
683C11×C4⋊C4C2×D411yescharacteristic
684C11×C4⋊C4C2411yescharacteristic
685C11×C4⋊C4C2411yescharacteristic
686C11×C22⋊C4—21no—
687C11×C22⋊C4—21no—
688C11×C22⋊C4—21no—
689C11×C22⋊C4—21no—
690C11×C22⋊C4—21no—
691C11×C22⋊C4—21no—
692C11×C22⋊C4—21no—
693C11×C22⋊C4—21no—
694C11×C22⋊C4C2×D411yescharacteristic
695C11×C22⋊C4C2×D411yescharacteristic
696C42×C11C2411yescharacteristic
697C22⋊Dic11—21no—
698C22⋊Dic11—21no—
699C22⋊Dic11—21no—
700C22⋊Dic11—21no—
701C22⋊Dic11—21no—
702C22⋊Dic11—21no—
703C22⋊Dic11—21no—
704C22⋊Dic11—21no—
705C22⋊Dic11C2×D411yescharacteristic
706C22⋊Dic11C2×D411yescharacteristic
707#4326—22no—
708#4326—22no—
709#4326—22no—
710#4326—22no—
711#4326—22no—
712#4326—22no—
713#4326—41no—
714#4326—41no—
715#4325—41no—
716#4324—22no—
717#4324—22no—
718#4324—22no—
719#4324—22no—
720#4324—41no—
721#4324C2×D414yes—
722#4324C2×D414yes—
723#4323—22no—
724#4323—22no—
725(C2×D11)⋊C4—21no—
726(C2×D11)⋊C4—21no—
727(C2×D11)⋊C4—21no—
728(C2×D11)⋊C4—21no—
729(C2×D11)⋊C4—21no—
730(C2×D11)⋊C4—21no—
731(C2×D11)⋊C4—21no—
732(C2×D11)⋊C4—21no—
733(C2×D11)⋊C4—21no—
734(C2×D11)⋊C4—21no—
735(C2×D11)⋊C4—21no—
736(C2×D11)⋊C4—21no—
737(C2×D11)⋊C4C2×D411yescharacteristic
738(C2×D11)⋊C4C2×D411yescharacteristic
739(C2×D11)⋊C4C2×D411yescharacteristic
740(C2×D11)⋊C4C2×D411yescharacteristic
741(C2×D11)⋊C4C2×D411yescharacteristic
742(C2×D11)⋊C4C2×D411yescharacteristic
743C4⋊Dic11—21no—
744C4⋊Dic11—21no—
745C4⋊Dic11—21no—
746C4⋊Dic11—21no—
747C4⋊Dic11—21no—
748C4⋊Dic11C2×D411yescharacteristic
749C4⋊Dic11C2411yescharacteristic
750C4⋊Dic11C2411yescharacteristic
751Dic11⋊C4—21no—
752Dic11⋊C4—21no—
753Dic11⋊C4—21no—
754Dic11⋊C4—21no—
755Dic11⋊C4—21no—
756Dic11⋊C4—21no—
757Dic11⋊C4—21no—
758Dic11⋊C4—21no—
759Dic11⋊C4—21no—
760Dic11⋊C4—21no—
761Dic11⋊C4—21no—
762Dic11⋊C4—21no—
763Dic11⋊C4—21no—
764Dic11⋊C4—21no—
765Dic11⋊C4—21no—
766Dic11⋊C4—21no—
767Dic11⋊C4C2×D411yescharacteristic
768Dic11⋊C4C2×D411yescharacteristic
769Dic11⋊C4C2×D411yescharacteristic
770Dic11⋊C4C2×D411yescharacteristic
771C4×Dic11—21no—
772C4×Dic11—21no—
773C4×Dic11—21no—
774C4×Dic11—21no—
775C4×Dic11C2411yescharacteristic
776#4318—22no—
777#4318—22no—
778C2×C11⋊C8C2411yescharacteristic
779C2×C11⋊C8C2411yescharacteristic
780C2×C11⋊C8C2411yescharacteristic
781C2×C11⋊C8C2411yescharacteristic
782Dic44—22no—
783Dic44—22no—
784Dic44—22no—
785Dic44—22no—
786Dic44—41no—
787Dic44C2×D414yes—
788#4314—22no—
789#4314—22no—
790#4314—41no—
791#4313—22no—
792#4313—22no—
793#4313—22no—
794#4313—22no—
795#4313—22no—
796C8×D11—22no—
797C8×D11—22no—
798C8×D11C2×D414yes—
799C2×#578—111no—
800C2×#575—111no—
801#3489—111no—
802#3489—111no—
803#3276—111no—
804#3276—111no—
805#3276—111no—
806#3276—111no—
807#3275—111no—
808#3275—111no—
809#3275—111no—
810#3275—111no—
811#3270—111no—
812#3270—111no—
813#3270—111no—
814#3270—111no—
815#3267—111no—
816#3267—111no—
817#3267—111no—
818#3267D1111yescharacteristic, complemented
819#3156—111no—
820#3060—111no—
821C2×#470—111no—
822#3046—111no—
823#3046—111no—
824#3013—111no—
825#3013—111no—
826#3007—111no—
827#3007—111no—
828#2952—111no—
829#2930—111no—
830C23×C11—21no—
831C23×C11—21no—
832C23×C11—21no—
833C23×C11—42no—
834C23×C11—42no—
835C23×C11—81no—
836C23×C11C22×D411yescharacteristic
837C23×C11C22×D411yescharacteristic
838C22×D11—22no—
839C22×D11—21no—
840C22×D11—41no—
841C22×D11—41no—
842C22×D11—42no—
843C22×D11—42no—
844C22×D11—81no—
845C22×D11C22×D411yescharacteristic
846C22×D11C22×D411yescharacteristic
847C22×D11C22×D411yescharacteristic
848Q8×C11—21no—
849Q8×C11—21no—
850Q8×C11—21no—
851Q8×C11—21no—
852Q8×C11—21no—
853Q8×C11—21no—
854D4×C11—21no—
855D4×C11—21no—
856D4×C11—21no—
857D4×C11—21no—
858D4×C11—41no—
859D4×C11—42no—
860D4×C11—42no—
861D4×C11—42no—
862D4×C11—42no—
863D4×C11—81no—
864D4×C11C22×D412yes—
865D4×C11C22×D412yes—
866C2×C4×C11—21no—
867C2×C4×C11—21no—
868C2×C4×C11—21no—
869C2×C4×C11—21no—
870C2×C4×C11—21no—
871C2×C4×C11—21no—
872C2×C4×C11—21no—
873C2×C4×C11—21no—
874C2×C4×C11—21no—
875C2×C4×C11—42no—
876C2×C4×C11—42no—
877C2×C4×C11—42no—
878C2×C4×C11—81no—
879C2×C4×C11—81no—
880C2×C4×C11C22×D411yescharacteristic
881C2×C4×C11C22×D411yescharacteristic
882C2×C4×C11C22×D411yescharacteristic
883C2×C4×C11C22×D411yescharacteristic
884C2×C4×C11C2511yescharacteristic
885C22⋊D11—22no—
886C22⋊D11—24no—
887C22⋊D11—24no—
888C22⋊D11—22no—
889C22⋊D11—41no—
890C22⋊D11—41no—
891C22⋊D11—42no—
892C22⋊D11—42no—
893C22⋊D11—42no—
894C22⋊D11—42no—
895C22⋊D11—42no—
896C22⋊D11—42no—
897C22⋊D11—42no—
898C22⋊D11—81no—
899C22⋊D11—81no—
900C2×Dic11—21no—
901C2×Dic11—21no—
902C2×Dic11—24no—
903C2×Dic11—24no—
904C2×Dic11—22no—
905C2×Dic11—21no—
906C2×Dic11—21no—
907C2×Dic11—21no—
908C2×Dic11—21no—
909C2×Dic11—21no—
910C2×Dic11—42no—
911C2×Dic11—42no—
912C2×Dic11—42no—
913C2×Dic11—42no—
914C2×Dic11—42no—
915C2×Dic11—42no—
916C2×Dic11—42no—
917C2×Dic11—42no—
918C2×Dic11—81no—
919C2×Dic11—81no—
920C2×Dic11C22×D411yescharacteristic
921C2×Dic11C22×D411yescharacteristic
922C2×Dic11C22×D411yescharacteristic
923C2×Dic11C22×D411yescharacteristic
924C2×Dic11C22×D411yescharacteristic
925D44—22no—
926D44—21no—
927D44—21no—
928D44—41no—
929D44—42no—
930D44—81no—
931C4×D11—22no—
932C4×D11—21no—
933C4×D11—21no—
934C4×D11—21no—
935C4×D11—21no—
936C4×D11—22no—
937C4×D11—42no—
938C4×D11—42no—
939C4×D11—42no—
940C4×D11—42no—
941C4×D11—42no—
942C4×D11—42no—
943C4×D11—42no—
944C4×D11—81no—
945C4×D11—81no—
946C4×D11C22×D412yes—
947C4×D11H(5,𝔽2)12yes—
948Dic22—21no—
949Dic22—21no—
950Dic22—22no—
951Dic22—21no—
952Dic22—21no—
953Dic22—21no—
954Dic22—21no—
955Dic22—21no—
956Dic22—21no—
957Dic22—42no—
958Dic22—42no—
959Dic22—42no—
960Dic22—42no—
961Dic22—42no—
962Dic22—42no—
963Dic22—42no—
964Dic22—42no—
965Dic22C22×D412yes—
966Dic22C22×D412yes—
967C8×C11—21no—
968C8×C11—21no—
969C8×C11—21no—
970C8×C11C22×D412yes—
971C11⋊C8—21no—
972C11⋊C8—21no—
973C11⋊C8—21no—
974C11⋊C8C22×D412yes—
975C2×2−1+4—111no—
976C2×2−1+4—111no—
977C22×#41—111no—
978C22×#41—111no—
979#578—228no—
980#575—228no—
981C2×#137—111no—
982C2×#137—111no—
983C2×#137—111no—
984C2×#137—111no—
985C2×#137—111no—
986C2×#137—111no—
987C2×#137—111no—
988C2×#137—111no—
989C2×#137—111no—
990C2×#137—111no—
991C2×#137—111no—
992C2×#137—111no—
993C2×AGL(1,ℤ/8)—111no—
994C2×AGL(1,ℤ/8)—111no—
995C2×AGL(1,ℤ/8)—111no—
996C2×AGL(1,ℤ/8)C2×D1111yescharacteristic
997C2×#135—111no—
998C2×#135—111no—
999C2×#135—111no—
1000C2×#135—111no—
1001C2×#135—111no—
1002C2×#135C2×D1111yescharacteristic, complemented
1003C22×Q16—111no—
1004C22×Q16—111no—
1005C22×Q16—111no—
1006C2×#131—111no—
1007C22×M16—111no—
1008D4×Q8—111no—
1009D4×Q8—111no—
1010D4×Q8—111no—
1011D4×Q8—111no—
1012#548—111no—
1013#548—111no—
1014#548—111no—
1015#548—111no—
1016#547—111no—
1017#547—111no—
1018#547—111no—
1019#547—221no—
1020#547—221no—
1021#547—221no—
1022#547—221no—
1023#547C2×D1111yescharacteristic
1024#546—111no—
1025#546—111no—
1026#546—111no—
1027#546—221no—
1028#546—221no—
1029#546—221no—
1030#546—221no—
1031#546C2×D1111yescharacteristic, complemented
1032#537—111no—
1033#537—111no—
1034#537—221no—
1035#537—221no—
1036#536—111no—
1037#536—111no—
1038#536—221no—
1039#536—221no—
1040#525—111no—
1041#525—221no—
1042#525—221no—
1043C2×C22⋊Q8—111no—
1044C2×C22⋊Q8—111no—
1045C2×C22⋊Q8—221no—
1046C2×C22⋊Q8—221no—
1047#520—111no—
1048#520—111no—
1049#497—111no—
1050#497—111no—
1051#497—111no—
1052#497C2×D1111yescharacteristic, complemented
1053#495—111no—
1054#495—111no—
1055#494—111no—
1056#494—111no—
1057#470—111no—
1058#470—111no—
1059#470—111no—
1060#470—111no—
1061#470—111no—
1062#470—111no—
1063#470—111no—
1064#470—111no—
1065#470—111no—
1066#470C2×D1111yescharacteristic, complemented
1067#469—111no—
1068#469—111no—
1069#465—111no—
1070#465—111no—
1071#465—111no—
1072#465C2×D1111yescharacteristic, complemented
1073#464—111no—
1074#464—111no—
1075#464—111no—
1076#464—111no—
1077#463—111no—
1078#463—111no—
1079#463—111no—
1080#463C2×D1111yescharacteristic, complemented
1081#462—111no—
1082#462—111no—
1083#462—111no—
1084#462—111no—
1085#461—111no—
1086#461—111no—
1087#461—111no—
1088#461C2×D1111yescharacteristic, complemented
1089#452—111no—
1090#452—111no—
1091#452—111no—
1092#452—111no—
1093#452—111no—
1094#452—111no—
1095#452—111no—
1096#452—111no—
1097#452—111no—
1098#452—111no—
1099#452C2×D1111yescharacteristic
1100#452C2×D1111yescharacteristic, complemented
1101#451—111no—
1102#451—111no—
1103#451—111no—
1104#451—111no—
1105#451—111no—
1106#451—111no—
1107#451—111no—
1108#451—111no—
1109#450—111no—
1110#450—111no—
1111#450—111no—
1112#450C2×D1111yescharacteristic, complemented
1113#449—111no—
1114#449—111no—
1115#449—111no—
1116#449C2×D1111yescharacteristic, complemented
1117#448—111no—
1118#448—111no—
1119#448—111no—
1120#448—111no—
1121#442—111no—
1122#442C2×D1111yescharacteristic, complemented
1123#441—111no—
1124#441—111no—
1125C4×SD16—111no—
1126C4×SD16—111no—
1127C4×SD16—111no—
1128C4×SD16—111no—
1129#436—111no—
1130#436—111no—
1131#436—111no—
1132#436—111no—
1133#435—111no—
1134#435—111no—
1135#435—111no—
1136#435C2×D1111yescharacteristic, complemented
1137C2×#106—111no—
1138#424—111no—
1139#417—111no—
1140#417—111no—
1141#417—111no—
1142#417—111no—
1143C2×#103—111no—
1144C2×#103—111no—
1145#408—111no—
1146#407—111no—
1147#405—111no—
1148C22×C11—21no—
1149C22×C11—21no—
1150C22×C11—21no—
1151C22×C11—21no—
1152C22×C11—21no—
1153C22×C11—21no—
1154C22×C11—22no—
1155C22×C11—22no—
1156C22×C11—41no—
1157C22×C11—41no—
1158C22×C11—41no—
1159C22×C11—41no—
1160C22×C11—41no—
1161C22×C11—41no—
1162C22×C11—41no—
1163C22×C11—84no—
1164C22×C11C23×D411yescharacteristic
1165C2×D11—21no—
1166C2×D11—21no—
1167C2×D11—21no—
1168C2×D11—21no—
1169C2×D11—21no—
1170C2×D11—21no—
1171C2×D11—21no—
1172C2×D11—21no—
1173C2×D11—41no—
1174C2×D11—41no—
1175C2×D11—41no—
1176C2×D11—82no—
1177C2×D11—84no—
1178C2×D11D4212yes—
1179C4×C11—21no—
1180C4×C11—21no—
1181C4×C11—21no—
1182C4×C11—21no—
1183C4×C11—41no—
1184C4×C11—41no—
1185C4×C11—41no—
1186C4×C11—41no—
1187C4×C11—41no—
1188C4×C11C23×D411yescharacteristic
1189C4×C11C2×H(5,𝔽2)11yescharacteristic
1190Dic11—21no—
1191Dic11—21no—
1192Dic11—21no—
1193Dic11—22no—
1194Dic11—22no—
1195Dic11—21no—
1196Dic11—41no—
1197Dic11—41no—
1198Dic11—41no—
1199Dic11—41no—
1200Dic11—41no—
1201Dic11D4212yes—
12022−1+4—224no—
12032−1+4—224no—
12042−1+4—442no—
12052−1+4—442no—
1206C2×#41—111no—
1207C2×#41—111no—
1208C2×#41—111no—
1209C2×#41—111no—
1210C2×#41—111no—
1211C2×#41—111no—
1212C2×#41—111no—
1213C2×#41—111no—
1214C2×#41—111no—
1215C2×#41—111no—
1216C2×#41—221no—
1217C2×#41—221no—
1218C2×#41—221no—
1219C2×#41—221no—
1220C2×#41—221no—
1221C2×#41—221no—
1222C2×#41—221no—
1223C2×#41—221no—
1224C2×#41—221no—
1225C2×#41—221no—
1226C2×#41—224no—
1227C2×#41—224no—
1228C2×#41—442no—
1229C2×#41—442no—
1230C2×#41C22×D1111yescharacteristic
1231C2×#41C22×D1111yescharacteristic
1232C2×#41C22×D1111yescharacteristic
1233C22×Q8—111no—
1234C22×Q8—111no—
1235C22×Q8—111no—
1236C22×Q8—111no—
1237C22×Q8—111no—
1238C22×Q8—111no—
1239C22×Q8—111no—
1240C22×Q8—111no—
1241C22×Q8—221no—
1242C22×Q8—221no—
1243C22×D4—111no—
1244C22×D4—221no—
1245C22×D4—221no—
1246C22×D4C22×D1111yescharacteristic
1247C23×C4—111no—
1248C23×C4—221no—
1249C23×C4—221no—
1250#137—224no—
1251#137—224no—
1252#137—224no—
1253#137—224no—
1254#137—224no—
1255#137—224no—
1256#137—224no—
1257#137—224no—
1258#137—224no—
1259#137—224no—
1260#137—442no—
1261#137—442no—
1262AGL(1,ℤ/8)—24no—
1263AGL(1,ℤ/8)—224no—
1264AGL(1,ℤ/8)—224no—
1265AGL(1,ℤ/8)—224no—
1266#135—24no—
1267#135—118no—
1268#135—224no—
1269#135—224no—
1270#135—224no—
1271#135—224no—
1272C2×Q16—111no—
1273C2×Q16—111no—
1274C2×Q16—111no—
1275C2×Q16—111no—
1276C2×Q16—111no—
1277C2×Q16—111no—
1278C2×Q16—111no—
1279C2×Q16—111no—
1280C2×Q16—111no—
1281C2×Q16—111no—
1282C2×Q16—111no—
1283C2×Q16—111no—
1284C2×Q16—111no—
1285C2×Q16—111no—
1286C2×Q16—224no—
1287C2×Q16—224no—
1288C2×Q16—224no—
1289C2×Q16C22×D1111yescharacteristic
1290C2×Q16C22×D1111yescharacteristic
1291C2×SD16—111no—
1292C2×SD16—111no—
1293C2×SD16—111no—
1294C2×SD16—111no—
1295C2×SD16—111no—
1296C2×SD16—111no—
1297C2×SD16—111no—
1298C2×SD16—111no—
1299C2×SD16—111no—
1300C2×SD16—111no—
1301C2×SD16—111no—
1302C2×SD16C22×D1111yescharacteristic
1303C2×SD16C22×D1111yescharacteristic
1304C2×SD16C22×D1111yescharacteristic
1305C2×SD16C22×D1111yescharacteristic
1306C2×SD16C22×D1111yescharacteristic
1307C2×D8—111no—
1308C2×D8—111no—
1309C2×D8C22×D1111yescharacteristic
1310C2×D8C22×D1111yescharacteristic
1311#131—224no—
1312C2×M16—111no—
1313C2×M16—111no—
1314C2×M16—111no—
1315C2×M16—111no—
1316C2×M16—111no—
1317C2×M16—111no—
1318C2×M16—111no—
1319C2×M16—224no—
1320C2×M16C22×D1111yescharacteristic
1321C22×C8—111no—
1322C22×C8—111no—
1323C22×C8—111no—
1324C22×C8C22×D1111yescharacteristic
1325C4⋊Q8—111no—
1326C4⋊Q8—111no—
1327C4⋊Q8—111no—
1328C4⋊Q8—221no—
1329C4⋊Q8—221no—
1330C4⋊Q8—221no—
1331C4⋊Q8—221no—
1332C4⋊Q8C22×D1111yescharacteristic
1333#124—111no—
1334#124—111no—
1335#124—111no—
1336#124—221no—
1337#124—221no—
1338#124—221no—
1339#124—221no—
1340#124C22×D1111yescharacteristic
1341#123—21no—
1342#123—21no—
1343#123—21no—
1344#123—111no—
1345#123—111no—
1346#123—221no—
1347#123—221no—
1348#123—221no—
1349#123—221no—
1350#123—221no—
1351#123—221no—
1352#123—221no—
1353#123—221no—
1354#123—221no—
1355#123—221no—
1356#123—221no—
1357#123—221no—
1358#123—221no—
1359C22⋊Q8—111no—
1360C22⋊Q8—111no—
1361C22⋊Q8—111no—
1362C22⋊Q8—111no—
1363C22⋊Q8—111no—
1364C22⋊Q8—111no—
1365C22⋊Q8—111no—
1366C22⋊Q8—111no—
1367C22⋊Q8—111no—
1368C22⋊Q8—111no—
1369C22⋊Q8—111no—
1370C22⋊Q8—221no—
1371C22⋊Q8—221no—
1372C22⋊Q8—221no—
1373C22⋊Q8—221no—
1374C22⋊Q8—221no—
1375C22⋊Q8—221no—
1376C22⋊Q8—221no—
1377C22⋊Q8—221no—
1378C22⋊Q8—221no—
1379C22⋊Q8—221no—
1380C22⋊Q8—221no—
1381C22⋊Q8—221no—
1382C22⋊Q8—221no—
1383C22⋊Q8—221no—
1384C22⋊Q8—221no—
1385C22⋊Q8—221no—
1386C22⋊Q8—221no—
1387C22⋊Q8—221no—
1388C22⋊Q8—221no—
1389C22⋊Q8—221no—
1390C22⋊Q8—221no—
1391C22⋊Q8—221no—
1392C22⋊Q8C22×D1111yescharacteristic
1393C22⋊Q8C22×D1111yescharacteristic
1394C22⋊Q8C22×D1111yescharacteristic
1395#121—21no—
1396#121—21no—
1397#121—111no—
1398#121—111no—
1399#121—111no—
1400#121—111no—
1401#121—111no—
1402#121—221no—
1403#121—221no—
1404#121—221no—
1405#121—221no—
1406#121—221no—
1407#121—221no—
1408#121—221no—
1409#121—221no—
1410#121—221no—
1411#121—221no—
1412#121—221no—
1413#121—221no—
1414#121—221no—
1415#121—221no—
1416#121—221no—
1417#121—221no—
1418#121C22×D1111yescharacteristic
1419#120—21no—
1420#120—111no—
1421#120—111no—
1422#120—221no—
1423#120—221no—
1424#120—221no—
1425C4×Q8—111no—
1426C4×Q8—111no—
1427C4×Q8—111no—
1428C4×Q8—111no—
1429C4×D4—111no—
1430C4×D4—111no—
1431C4×D4—111no—
1432C4×D4—111no—
1433C4×D4—111no—
1434C4×D4—221no—
1435C4×D4—221no—
1436C4×D4—221no—
1437C4×D4—221no—
1438C4×D4—221no—
1439C4×D4—221no—
1440C4×D4—221no—
1441C4×D4—221no—
1442C4×D4—221no—
1443C4×D4—221no—
1444C4×D4—221no—
1445C4×D4—221no—
1446C4×D4C22×D1111yescharacteristic
1447C4×D4C22×D1111yescharacteristic
1448C4×D4C22×D1111yescharacteristic
1449#117—111no—
1450#117—221no—
1451#117—221no—
1452C2×C4⋊C4—21no—
1453C2×C4⋊C4—111no—
1454C2×C4⋊C4—111no—
1455C2×C4⋊C4—221no—
1456C2×C4⋊C4—221no—
1457C2×C4⋊C4—221no—
1458C2×C4⋊C4—221no—
1459C2×C4⋊C4—221no—
1460C2×C4⋊C4—221no—
1461C2×C4⋊C4—221no—
1462C2×C22⋊C4—21no—
1463C2×C22⋊C4—221no—
1464C2×C22⋊C4—221no—
1465C2×C22⋊C4—221no—
1466C2×C22⋊C4—221no—
1467C2×C22⋊C4—221no—
1468#106—111no—
1469#106—111no—
1470#106—111no—
1471#106C22×D1111yescharacteristic
1472C4⋊C8—111no—
1473C4⋊C8—111no—
1474C4⋊C8—111no—
1475C4⋊C8C22×D1111yescharacteristic
1476#103—111no—
1477#103—111no—
1478#103—111no—
1479#103—111no—
1480#103—111no—
1481#103—111no—
1482#103—111no—
1483#103—111no—
1484#103—111no—
1485#103—111no—
1486#103—111no—
1487#103—111no—
1488#103—111no—
1489#103C22×D1111yescharacteristic
1490#103C22×D1111yescharacteristic
1491#103C22×D1111yescharacteristic
1492#102—111no—
1493#102—111no—
1494#102—111no—
1495#102—111no—
1496#102—111no—
1497#102C22×D1111yescharacteristic
1498#102C22×D1111yescharacteristic
1499#102C22×D1111yescharacteristic
1500C22⋊C8—111no—
1501C22⋊C8—111no—
1502C22⋊C8—111no—
1503C22⋊C8—111no—
1504C22⋊C8—111no—
1505C22⋊C8—111no—
1506C22⋊C8C22×D1111yescharacteristic
1507C22⋊C8C22×D1111yescharacteristic
1508#97—111no—
1509#97C22×D1111yescharacteristic
1510C4×C8—111no—
1511C4×C8—111no—
1512C2×C11—41no—
1513C2×C11—42no—
1514C2×C11—41no—
1515C2×C11—42no—
1516C2×C11—81no—
1517C2×C11C2×D4211yescharacteristic
1518C2×C11#358611yescharacteristic
1519C2×C11#358611yescharacteristic
1520D11—22no—
1521D11—41no—
1522D11—41no—
1523D11—81no—
1524C24—21no—
1525C24—111no—
1526C24—221no—
1527#41—22no—
1528#41—22no—
1529#41—22no—
1530#41—41no—
1531#41—41no—
1532#41—41no—
1533#41—114no—
1534#41—114no—
1535#41—222no—
1536#41—222no—
1537#41—222no—
1538#41—222no—
1539#41—222no—
1540#41—222no—
1541#41—222no—
1542#41—222no—
1543#41—222no—
1544#41—222no—
1545#41—222no—
1546#41—222no—
1547#41—222no—
1548#41—441no—
1549#41—444no—
1550#41—444no—
1551#41—444no—
1552#41—444no—
1553#41—444no—
1554#41—441no—
1555#41—441no—
1556#41—441no—
1557#41—441no—
1558#41—444no—
1559#41—444no—
1560#41—444no—
1561#41—444no—
1562#41—444no—
1563C2×Q8—111no—
1564C2×Q8—111no—
1565C2×Q8—111no—
1566C2×Q8—111no—
1567C2×Q8—111no—
1568C2×Q8—111no—
1569C2×Q8—221no—
1570C2×Q8—221no—
1571C2×Q8—221no—
1572C2×Q8—221no—
1573C2×Q8—221no—
1574C2×Q8—222no—
1575C2×Q8—222no—
1576C2×Q8—222no—
1577C2×Q8—222no—
1578C2×Q8—222no—
1579C2×Q8—222no—
1580C2×Q8—222no—
1581C2×Q8—221no—
1582C2×Q8—221no—
1583C2×Q8—221no—
1584C2×Q8—222no—
1585C2×Q8—222no—
1586C2×Q8—222no—
1587C2×Q8—441no—
1588C2×Q8—441no—
1589C2×Q8—441no—
1590C2×Q8—444no—
1591C2×Q8—444no—
1592C2×Q8—441no—
1593C2×Q8—441no—
1594C2×Q8—441no—
1595C2×Q8C23×D1111yescharacteristic
1596C2×Q8C23×D1111yescharacteristic
1597C2×Q8C23×D1111yescharacteristic
1598C2×D4—22no—
1599C2×D4—21no—
1600C2×D4—21no—
1601C2×D4—21no—
1602C2×D4—21no—
1603C2×D4—21no—
1604C2×D4—41no—
1605C2×D4—111no—
1606C2×D4—111no—
1607C2×D4—111no—
1608C2×D4—111no—
1609C2×D4—111no—
1610C2×D4—111no—
1611C2×D4—111no—
1612C2×D4—221no—
1613C2×D4—221no—
1614C2×D4—221no—
1615C2×D4—221no—
1616C2×D4—221no—
1617C2×D4—222no—
1618C2×D4—221no—
1619C2×D4—221no—
1620C2×D4—221no—
1621C2×D4—221no—
1622C2×D4—221no—
1623C2×D4—221no—
1624C2×D4—221no—
1625C2×D4—221no—
1626C2×D4—441no—
1627C2×D4—444no—
1628C2×D4—444no—
1629C2×D4D4×D1111yescharacteristic
1630C2×D4C23×D1111yescharacteristic
1631C2×D4C23×D1111yescharacteristic
1632C2×D4C23×D1111yescharacteristic
1633C22×C4—21no—
1634C22×C4—21no—
1635C22×C4—21no—
1636C22×C4—21no—
1637C22×C4—21no—
1638C22×C4—111no—
1639C22×C4—111no—
1640C22×C4—111no—
1641C22×C4—111no—
1642C22×C4—111no—
1643C22×C4—111no—
1644C22×C4—222no—
1645C22×C4—222no—
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—444no—
1668C22×C4—444no—
1669C22×C4C23×D1111yescharacteristic
1670C22×C4C23×D1111yescharacteristic
1671Q16—22no—
1672Q16—41no—
1673Q16—114no—
1674Q16—222no—
1675Q16—222no—
1676Q16—222no—
1677Q16—222no—
1678Q16—222no—
1679Q16—222no—
1680Q16—222no—
1681Q16—222no—
1682Q16—222no—
1683Q16—222no—
1684Q16—441no—
1685Q16—441no—
1686Q16—441no—
1687SD16—22no—
1688SD16—22no—
1689SD16—22no—
1690SD16—22no—
1691SD16—41no—
1692SD16—114no—
1693SD16—114no—
1694SD16—222no—
1695SD16—222no—
1696SD16—222no—
1697SD16—222no—
1698SD16—222no—
1699SD16—222no—
1700SD16—441no—
1701SD16—441no—
1702SD16—441no—
1703D8—22no—
1704D8—222no—
1705D8—222no—
1706D8D4×D1114yes—
1707M16—22no—
1708M16—222no—
1709M16—222no—
1710M16—222no—
1711M16—222no—
1712M16—222no—
1713M16—222no—
1714M16—222no—
1715C2×C8—22no—
1716C2×C8—111no—
1717C2×C8—114no—
1718C2×C8—111no—
1719C2×C8—111no—
1720C2×C8—111no—
1721C2×C8—222no—
1722C2×C8—222no—
1723C2×C8C23×D1111yescharacteristic
1724C2×C8C23×D1111yescharacteristic
1725C2×C8C23×D1111yescharacteristic
1726C2×C8C23×D1111yescharacteristic
1727C4⋊C4—21no—
1728C4⋊C4—21no—
1729C4⋊C4—21no—
1730C4⋊C4—21no—
1731C4⋊C4—21no—
1732C4⋊C4—111no—
1733C4⋊C4—111no—
1734C4⋊C4—111no—
1735C4⋊C4—111no—
1736C4⋊C4—111no—
1737C4⋊C4—111no—
1738C4⋊C4—111no—
1739C4⋊C4—221no—
1740C4⋊C4—221no—
1741C4⋊C4—221no—
1742C4⋊C4—221no—
1743C4⋊C4—221no—
1744C4⋊C4—221no—
1745C4⋊C4—221no—
1746C4⋊C4—221no—
1747C4⋊C4—221no—
1748C4⋊C4—221no—
1749C4⋊C4—221no—
1750C4⋊C4—221no—
1751C4⋊C4—221no—
1752C4⋊C4—221no—
1753C4⋊C4—221no—
1754C4⋊C4—221no—
1755C4⋊C4—221no—
1756C4⋊C4—221no—
1757C4⋊C4—221no—
1758C4⋊C4—221no—
1759C4⋊C4—221no—
1760C4⋊C4D4×D1111yescharacteristic
1761C4⋊C4C23×D1111yescharacteristic
1762C4⋊C4C23×D1111yescharacteristic
1763C22⋊C4—21no—
1764C22⋊C4—21no—
1765C22⋊C4—21no—
1766C22⋊C4—21no—
1767C22⋊C4—21no—
1768C22⋊C4—21no—
1769C22⋊C4—21no—
1770C22⋊C4—21no—
1771C22⋊C4—111no—
1772C22⋊C4—111no—
1773C22⋊C4—111no—
1774C22⋊C4—111no—
1775C22⋊C4—111no—
1776C22⋊C4—111no—
1777C22⋊C4—111no—
1778C22⋊C4—111no—
1779C22⋊C4—221no—
1780C22⋊C4—221no—
1781C22⋊C4—221no—
1782C22⋊C4—221no—
1783C22⋊C4—221no—
1784C22⋊C4—221no—
1785C22⋊C4—221no—
1786C22⋊C4—221no—
1787C22⋊C4—221no—
1788C22⋊C4—221no—
1789C22⋊C4—221no—
1790C22⋊C4—221no—
1791C22⋊C4—221no—
1792C22⋊C4—221no—
1793C22⋊C4—221no—
1794C22⋊C4—221no—
1795C22⋊C4—221no—
1796C22⋊C4—221no—
1797C22⋊C4—221no—
1798C22⋊C4—221no—
1799C22⋊C4D4×D1111yescharacteristic
1800C22⋊C4D4×D1111yescharacteristic
1801C42—111no—
1802C42—221no—
1803C42—221no—
1804C42—221no—
1805C42—221no—
1806C42C23×D1111yescharacteristic
1807C11#6106411yescharacteristic, complemented, Sylow
1808C23—21no—
1809C23—21no—
1810C23—21no—
1811C23—42no—
1812C23—42no—
1813C23—81no—
1814C23—111no—
1815C23—111no—
1816C23—111no—
1817C23—222no—
1818C23—221no—
1819C23—441no—
1820C23—441no—
1821C23—442no—
1822C23—442no—
1823C23—881no—
1824C23C2×D4×D1111yescharacteristic
1825C23C2×D4×D1111yescharacteristic
1826Q8—21no—
1827Q8—21no—
1828Q8—21no—
1829Q8—21no—
1830Q8—21no—
1831Q8—21no—
1832Q8—112no—
1833Q8—112no—
1834Q8—222no—
1835Q8—221no—
1836Q8—221no—
1837Q8—221no—
1838Q8—221no—
1839Q8—221no—
1840Q8—221no—
1841Q8—221no—
1842Q8—221no—
1843Q8—442no—
1844Q8—442no—
1845Q8—442no—
1846Q8—442no—
1847Q8—442no—
1848Q8—442no—
1849Q8—442no—
1850Q8—442no—
1851D4—21no—
1852D4—21no—
1853D4—21no—
1854D4—21no—
1855D4—41no—
1856D4—42no—
1857D4—42no—
1858D4—42no—
1859D4—42no—
1860D4—81no—
1861D4—222no—
1862D4—222no—
1863D4—222no—
1864D4—224no—
1865D4—224no—
1866D4—221no—
1867D4—221no—
1868D4—441no—
1869D4—442no—
1870D4—441no—
1871D4—441no—
1872D4—442no—
1873D4—442no—
1874D4—442no—
1875D4—442no—
1876D4—442no—
1877D4—442no—
1878D4—442no—
1879D4—881no—
1880D4—881no—
1881D4—881no—
1882D4C2×D4×D1112yes—
1883D4C2×D4×D1112yes—
1884C2×C4—21no—
1885C2×C4—21no—
1886C2×C4—21no—
1887C2×C4—21no—
1888C2×C4—21no—
1889C2×C4—21no—
1890C2×C4—21no—
1891C2×C4—21no—
1892C2×C4—21no—
1893C2×C4—42no—
1894C2×C4—42no—
1895C2×C4—42no—
1896C2×C4—81no—
1897C2×C4—81no—
1898C2×C4—111no—
1899C2×C4—112no—
1900C2×C4—112no—
1901C2×C4—111no—
1902C2×C4—111no—
1903C2×C4—111no—
1904C2×C4—111no—
1905C2×C4—222no—
1906C2×C4—222no—
1907C2×C4—222no—
1908C2×C4—224no—
1909C2×C4—224no—
1910C2×C4—221no—
1911C2×C4—221no—
1912C2×C4—221no—
1913C2×C4—221no—
1914C2×C4—221no—
1915C2×C4—221no—
1916C2×C4—221no—
1917C2×C4—221no—
1918C2×C4—221no—
1919C2×C4—221no—
1920C2×C4—221no—
1921C2×C4—442no—
1922C2×C4—442no—
1923C2×C4—442no—
1924C2×C4—442no—
1925C2×C4—442no—
1926C2×C4—442no—
1927C2×C4—442no—
1928C2×C4—442no—
1929C2×C4—442no—
1930C2×C4—442no—
1931C2×C4—442no—
1932C2×C4—442no—
1933C2×C4—442no—
1934C2×C4—442no—
1935C2×C4—442no—
1936C2×C4—881no—
1937C2×C4—881no—
1938C2×C4—881no—
1939C2×C4—881no—
1940C2×C4C2×D4×D1111yescharacteristic
1941C2×C4C2×D4×D1111yescharacteristic
1942C2×C4C2×D4×D1111yescharacteristic
1943C2×C4C2×D4×D1111yescharacteristic
1944C2×C4C24×D1111yescharacteristic
1945C8—21no—
1946C8—21no—
1947C8—21no—
1948C8—112no—
1949C8—221no—
1950C8—221no—
1951C8—221no—
1952C8C2×D4×D1112yes—
1953C22—21no—
1954C22—21no—
1955C22—21no—
1956C22—21no—
1957C22—21no—
1958C22—21no—
1959C22—22no—
1960C22—22no—
1961C22—41no—
1962C22—41no—
1963C22—41no—
1964C22—41no—
1965C22—41no—
1966C22—41no—
1967C22—41no—
1968C22—84no—
1969C22—112no—
1970C22—221no—
1971C22—221no—
1972C22—221no—
1973C22—221no—
1974C22—221no—
1975C22—221no—
1976C22—221no—
1977C22—221no—
1978C22—441no—
1979C22—441no—
1980C22—441no—
1981C22—882no—
1982C22—884no—
1983C22C22×D4×D1111yescharacteristic
1984C4—21no—
1985C4—21no—
1986C4—21no—
1987C4—21no—
1988C4—41no—
1989C4—41no—
1990C4—41no—
1991C4—41no—
1992C4—41no—
1993C4—112no—
1994C4—221no—
1995C4—221no—
1996C4—221no—
1997C4—221no—
1998C4—222no—
1999C4—222no—
2000C4—441no—
2001C4—441no—
2002C4—441no—
2003C4—441no—
2004C4—441no—
2005C4C22×D4×D1111yescharacteristic
2006C4D11×H(5,𝔽2)11yescharacteristic
2007C2—41no—
2008C2—41no—
2009C2—42no—
2010C2—42no—
2011C2—81no—
2012C2—222no—
2013C2—441no—
2014C2—441no—
2015C2—881no—
2016C2D42×D1111yescharacteristic
2017C2#1308339811yescharacteristic
2018C2#1308340011yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3267C2
socleC22×C11C23×D4
hypercenter#3267D11
hypocenterC11#61064
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3267

Complements

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

NH ≅ G/Ntype
1. C2×#10623302C2semidirect
2. C2×#10623304C2semidirect
3. #13082290C2semidirect
4. #13082287C2semidirect
5. #13080265C2semidirect
6. #13080260C2semidirect
7. #13080260C2semidirect
8. #13080258C2semidirect
9. #13080253C2semidirect
10. #13080251C2semidirect
11. #13080245C2semidirect
12. #13080243C2semidirect
13. #13080193C2semidirect
14. #13080191C2semidirect
15. #13080185C2semidirect
16. #13080183C2semidirect
17. #13080143C2semidirect
18. #13080141C2semidirect
19. #13080135C2semidirect
20. #13079108C2semidirect
21. #13078273C2semidirect
22. D11×#470C2semidirect
23. #13078167C2semidirect
24. #13078161C2semidirect
25. #13077935C2semidirect
26. #13077929C2semidirect
27. #13077873C2semidirect
28. #13077871C2semidirect
29. #13077498C2semidirect
30. #13077314C2semidirect
31. C11×#3267C2semidirect
32. C2×#67043C22semidirect
33. C2×#67043C22semidirect
37. C2×C11×#135C22semidirect
39. C11×#546C22semidirect
40. #10623360C22semidirect
44. C2×#67004C22semidirect
45. C2×#67004C22semidirect
46. #10623337C22semidirect
50. C2×#66971C22semidirect
51. C2×Q16×D11C22semidirect
52. C2×Q16×D11C22semidirect
57. C2×#66968C22semidirect
58. C2×#66968C22semidirect
59. C2×#66968C22semidirect
60. C2×#66968C22semidirect
61. C2×#66968C22semidirect
64. C2×#66965C22semidirect
69. C22×Dic44C22semidirect
70. C2×#66954C22semidirect
71. #10623258C22semidirect
72. #10623255C22semidirect
74. #10623206C22semidirect
82. #10623163C22semidirect
83. #10623163C22semidirect
84. #10623160C22semidirect
89. #10623139C22semidirect
96. #10623085C22semidirect
99. #10623077C22semidirect
100. #10623077C22semidirect
101. D4×Dic22C22semidirect
106. C11×#497C22semidirect
107. C11×#470C22semidirect
108. C11×#465C22semidirect
109. C11×#463C22semidirect
110. C11×#461C22semidirect
112. C11×#452C22semidirect
113. C11×#450C22semidirect
114. C11×#449C22semidirect
115. C11×#442C22semidirect
116. C11×#435C22semidirect
118. #10622852C22semidirect
119. #10622851C22semidirect
120. #10622831C22semidirect
121. #10622803C22semidirect
122. #10622802C22semidirect
123. #10622799C22semidirect
124. #10622799C22semidirect
125. #10622794C22semidirect
128. #10622786C22semidirect
129. #10622784C22semidirect
130. #10622783C22semidirect
131. #10622782C22semidirect
132. #10622781C22semidirect
133. #10622780C22semidirect
134. #10622778C22semidirect
135. #10622775C22semidirect
136. #10622775C22semidirect
137. #10622771C22semidirect
138. #10622766C22semidirect
139. #10622765C22semidirect
140. #10622750C22semidirect
141. #10622740C22semidirect
142. #10622727C22semidirect
143. #10622724C22semidirect
144. #10622705C22semidirect
145. #10622703C22semidirect
146. #10622672C22semidirect
147. #10622667C22semidirect
148. #10622665C22semidirect
149. #10622665C22semidirect
150. #10622665C22semidirect
151. #10622663C22semidirect
152. #10622663C22semidirect
154. #10622653C22semidirect
155. #10622652C22semidirect
156. #10622632C22semidirect
157. C4×#4324C22semidirect
158. C4×#4324C22semidirect
159. #10622629C22semidirect
160. #10622625C22semidirect
161. #10622481C22semidirect
162. #10622477C22semidirect
163. D11×#106C22semidirect
164. #10622466C22semidirect
165. #10622462C22semidirect
166. #10622458C22semidirect
167. #10622452C22semidirect
168. #10622451C22semidirect
169. #10622429C22semidirect
170. #10622429C22semidirect
171. #10622429C22semidirect
172. #10622421C22semidirect
173. #10622421C22semidirect
174. #10622419C22semidirect
175. #10622416C22semidirect
176. D11×#103C22semidirect
177. D11×#103C22semidirect
178. #10622411C22semidirect
179. #10622406C22semidirect
180. #10622406C22semidirect
183. #10622396C22semidirect
184. #10622395C22semidirect
185. #10622394C22semidirect
186. #10622389C22semidirect
187. #10622384C22semidirect
188. #10622384C22semidirect
189. #10622384C22semidirect
190. #10622380C22semidirect
191. #10622371C22semidirect
192. #10622371C22semidirect
193. #10622352C22semidirect
194. #10622352C22semidirect
195. #10622351C22semidirect
197. #10622342C22semidirect
198. #10622342C22semidirect
199. #10622340C22semidirect
201. #10622329C22semidirect
202. #10622328C22semidirect
203. #10622321C22semidirect
204. #10622319C22semidirect
369. #66965D4semidirect
818. #3267D11semidirect
1002. C2×#135C2×D11semidirect
1031. #546C2×D11semidirect
1052. #497C2×D11semidirect
1066. #470C2×D11semidirect
1072. #465C2×D11semidirect
1080. #463C2×D11semidirect
1088. #461C2×D11semidirect
1100. #452C2×D11semidirect
1112. #450C2×D11semidirect
1116. #449C2×D11semidirect
1122. #442C2×D11semidirect
1136. #435C2×D11semidirect
1807. C11#61064semidirect

Maximal subgroups

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

subgroupindex
C2×#106233022
C2×#106233042
#130822902
#130822872
#130802652
#130802602
#130802582
#130802532
#130802512
#130802452
#130802432
#130801932
#130801912
#130801852
#130801832
#130801432
#130801412
#130801352
#130791082
#130782732
D11×#4702
#130781672
#130781612
#130779352
#130779292
#130778732
#130778712
#130774982
#130773142
C11×#32672
#6106411