Finite Group Databasebeta

← #15629586

Subgroups — #15629586

Order 2816.

2672 conjugacy classes of subgroups.

The subgroup lattice has 2002 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623310C211yesmaximal, characteristic, complemented
2C22×#66968C211yesmaximal, characteristic, complemented
3#13082287C211yesmaximal, characteristic, complemented
4#13082266C211yesmaximal, characteristic, complemented
5#13080365C211yesmaximal, characteristic, complemented
6D4×#4326C211yesmaximal, characteristic, complemented
7#13080323C211yesmaximal, characteristic, complemented
8#13080319C211yesmaximal, characteristic, complemented
9#13080270C211yesmaximal, characteristic, complemented
10#13080268C211yesmaximal, characteristic, complemented
11#13080265C211yesmaximal, characteristic, complemented
12#13080256C211yesmaximal, characteristic, complemented
13#13080191C211yesmaximal, characteristic, complemented
14#13080190C211yesmaximal, characteristic, complemented
15#13080185C211yesmaximal, characteristic, complemented
16#13080179C211yesmaximal, characteristic, complemented
17#13080175C211yesmaximal, characteristic, complemented
18#13080173C211yesmaximal, characteristic, complemented
19#13080130C211yesmaximal, characteristic, complemented
20#13079108C211yesmaximal, characteristic, complemented
21#13078302C211yesmaximal, characteristic, complemented
22#13078243C211yesmaximal, characteristic, complemented
23#13078161C211yesmaximal, characteristic, complemented
24#13078144C211yesmaximal, characteristic, complemented
25#13077926C211yesmaximal, characteristic, complemented
26#13077908C211yesmaximal, characteristic, complemented
27#13077835C211yesmaximal, characteristic, complemented
28D11×#451C211yesmaximal, characteristic, complemented
29#13077456C211yesmaximal, characteristic, complemented
30#13077342C211yesmaximal, characteristic, complemented
31C11×#3266C211yesmaximal, characteristic, complemented
32C2×#67043C2211yescharacteristic
33C2×#67040C2211yescharacteristic, complemented
34C22×Q8×D11C2211yescharacteristic
35C22×#4341C2211yescharacteristic
36C2×C11×#137C2211yescharacteristic, complemented
37C22×C11×SD16C2211yescharacteristic
38D4×Q8×C11C2211yescharacteristic
39C11×#546C2211yescharacteristic
40#10623355C2211yescharacteristic
41C2×#67003C2211yescharacteristic, complemented
42#10623348C2211yescharacteristic
43Q8×C22⋊D11C2211yescharacteristic, complemented
44C22×#4326C2211yescharacteristic
45C22×#4326C2211yescharacteristic, complemented
46#10623337C2211yescharacteristic
47C22×#4324C2211yescharacteristic
48#10623310—28no—
49C2×#66971C2211yescharacteristic, complemented
50C2×#66971C2211yescharacteristic, complemented
51C2×Q16×D11C2211yescharacteristic, complemented
52C2×Q16×D11C2211yescharacteristic, complemented
53C2×Q16×D11C2211yescharacteristic, complemented
54C2×#66969C2211yescharacteristic
55C2×#66969C2211yescharacteristic
56C2×#66969C2211yescharacteristic, complemented
57C2×#66968—28no—
58C2×#66968C2211yescharacteristic
59C2×#66968C2211yescharacteristic
60C2×#66968C2211yescharacteristic
61C2×#66968C2211yescharacteristic
62C2×#66968C2211yescharacteristic
63C2×#66968C2211yescharacteristic
64C2×#66968C2211yescharacteristic
65C2×#66968C2211yescharacteristic
66C2×#66968C2211yescharacteristic, complemented
67C2×#66962C2211yescharacteristic, complemented
68C2×#66960C2211yescharacteristic, complemented
69C22×Dic44C2211yescharacteristic
70C22×#4313C2211yescharacteristic
71#10623258—21no—
72#10623258C2211yescharacteristic, complemented
73#10623255—21no—
74#10623255C2211yescharacteristic, complemented
75#10623208C2211yescharacteristic
76#10623206C2211yescharacteristic
77#10623186—21no—
78#10623179—21no—
79#10623164—21no—
80#10623164C2211yescharacteristic, complemented
81#10623163—21no—
82#10623163C2211yescharacteristic
83#10623163C2211yescharacteristic
84#10623159—21no—
85#10623159C2211yescharacteristic, complemented
86#10623158—21no—
87#10623158C2211yescharacteristic
88D11×C22⋊Q8C2211yescharacteristic
89#10623142—21no—
90#10623139C2211yescharacteristic
91#10623129C2211yescharacteristic
92#10623128—21no—
93#10623122—21no—
94#10623117—21no—
95#10623107C2211yescharacteristic, complemented
96#10623103C2211yescharacteristic, complemented
97#10623086C2211yescharacteristic
98#10623083—21no—
99#10623083C2211yescharacteristic
100#10623078—21no—
101#10623078C2211yescharacteristic
102#10623077C2211yescharacteristic
103D4×Dic22C2211yescharacteristic
104#10623021—21no—
105C2×#66931—21no—
106C11×#497C2211yescharacteristic, complemented
107C11×#468C2211yescharacteristic, complemented
108C11×#467C2211yescharacteristic
109C11×#464C2211yescharacteristic, complemented
110C11×#461C2211yescharacteristic, complemented
111C11×#452C2211yescharacteristic, complemented
112C11×#451C2211yescharacteristic
113C11×#450C2211yescharacteristic
114C11×#448C2211yescharacteristic, complemented
115C11×#440C2211yescharacteristic, complemented
116C11×#435C2211yescharacteristic
117#10622852C2211yescharacteristic, complemented
118#10622841C2211yescharacteristic
119#10622841C2211yescharacteristic, complemented
120#10622830C2211yescharacteristic
121#10622803C2211yescharacteristic, complemented
122#10622802C2211yescharacteristic, complemented
123#10622799C2211yescharacteristic, complemented
124#10622799C2211yescharacteristic, complemented
125#10622799C2211yescharacteristic, complemented
126#10622795C2211yescharacteristic, complemented
127#10622794C2211yescharacteristic, complemented
128#10622786C2211yescharacteristic
129#10622786C2211yescharacteristic
130#10622786C2211yescharacteristic, complemented
131#10622785C2211yescharacteristic, complemented
132#10622784C2211yescharacteristic, complemented
133#10622783C2211yescharacteristic, complemented
134#10622781C2211yescharacteristic, complemented
135#10622780C2211yescharacteristic, complemented
136#10622779C2211yescharacteristic, complemented
137#10622778C2211yescharacteristic, complemented
138#10622775C2211yescharacteristic, complemented
139SD16×Dic11C2211yescharacteristic, complemented
140#10622750C2211yescharacteristic, complemented
141#10622741C2211yescharacteristic, complemented
142#10622727C2211yescharacteristic
143C8×C22⋊D11C2211yescharacteristic
144#10622705C2211yescharacteristic, complemented
145#10622703C2211yescharacteristic, complemented
146#10622672C2211yescharacteristic, complemented
147#10622667C2211yescharacteristic, complemented
148#10622664C2211yescharacteristic
149#10622664C2211yescharacteristic, complemented
150#10622663C2211yescharacteristic
151#10622663C2211yescharacteristic
152#10622663C2211yescharacteristic, complemented
153#10622661C2211yescharacteristic
154#10622654C2211yescharacteristic, complemented
155#10622650C2211yescharacteristic, complemented
156#10622644C2211yescharacteristic, complemented
157C4×#4326C2211yescharacteristic, complemented
158C4×#4324C2211yescharacteristic, complemented
159#10622629C2211yescharacteristic, complemented
160D4×C11⋊C8C2211yescharacteristic
161#10622500C2211yescharacteristic, complemented
162#10622499C2211yescharacteristic, complemented
163#10622494C2211yescharacteristic, complemented
164#10622486C2211yescharacteristic, complemented
165#10622462C2211yescharacteristic, complemented
166#10622458C2211yescharacteristic, complemented
167#10622452C2211yescharacteristic, complemented
168#10622451C2211yescharacteristic, complemented
169#10622429C2211yescharacteristic, complemented
170#10622429C2211yescharacteristic, complemented
171#10622425C2211yescharacteristic, complemented
172#10622423C2211yescharacteristic, complemented
173#10622421C2211yescharacteristic, complemented
174#10622421C2211yescharacteristic, complemented
175#10622421C2211yescharacteristic, complemented
176#10622421C2211yescharacteristic, complemented
177#10622416C2211yescharacteristic, complemented
178#10622415C2211yescharacteristic, complemented
179D11×#103C2211yescharacteristic, complemented
180D11×#103C2211yescharacteristic, complemented
181#10622411C2211yescharacteristic, complemented
182#10622406C2211yescharacteristic, complemented
183#10622406C2211yescharacteristic, complemented
184#10622402C2211yescharacteristic, complemented
185#10622396C2211yescharacteristic, complemented
186#10622394C2211yescharacteristic
187#10622394C2211yescharacteristic
188#10622393C2211yescharacteristic, complemented
189#10622385C2211yescharacteristic
190#10622385C2211yescharacteristic
191#10622380C2211yescharacteristic, complemented
192#10622370C2211yescharacteristic, complemented
193#10622352C2211yescharacteristic
194#10622352C2211yescharacteristic, complemented
195#10622351C2211yescharacteristic
196#10622346C2211yescharacteristic, complemented
197#10622343C2211yescharacteristic
198#10622343C2211yescharacteristic, complemented
199#10622340C2211yescharacteristic, complemented
200D11×C22⋊C8C2211yescharacteristic
201#10622329C2211yescharacteristic, complemented
202#10622328C2211yescharacteristic, complemented
203#10622321C2211yescharacteristic, complemented
204#10622319C2211yescharacteristic, complemented
205C2×C11×#41C2311yescharacteristic
206C22×Q8×C11C2311yescharacteristic
207C22×Q8×C11C2311yescharacteristic
208C22×D4×C11C2311yescharacteristic
209C22×C22⋊D11—21no—
210C23×Dic11—21no—
211#67043—24no—
212#67043—42no—
213#67040—24no—
214#67040—42no—
215C2×#4343—21no—
216C2×#4343C2311yescharacteristic
217C2×#4343C2311yescharacteristic
218C2×Q8×D11—21no—
219C2×Q8×D11—21no—
220C2×Q8×D11—21no—
221C2×Q8×D11—24no—
222C2×Q8×D11—42no—
223C2×Q8×D11C2311yescharacteristic
224C2×Q8×D11C2311yescharacteristic
225C2×Q8×D11C2311yescharacteristic
226C2×Q8×D11C2311yescharacteristic
227C2×Q8×D11C2311yescharacteristic
228C2×Q8×D11C2311yescharacteristic
229C2×Q8×D11C2311yescharacteristic
230C2×#4341—24no—
231C2×#4341—21no—
232C2×#4341—21no—
233C2×#4341—21no—
234C2×#4341—21no—
235C2×#4341—42no—
236C2×#4341C2311yescharacteristic
237C2×#4341C2311yescharacteristic
238C2×#4341C2311yescharacteristic
239C2×#4341C2311yescharacteristic
240C2×#4341C2311yescharacteristic
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×#137—24no—
254C2×C11×Q16C2311yescharacteristic
255C2×C11×Q16C2311yescharacteristic
256C2×C11×Q16C2311yescharacteristic
257C2×C11×SD16—24no—
258C2×C11×SD16C2311yescharacteristic
259C2×C11×SD16C2311yescharacteristic
260C2×C11×SD16C2311yescharacteristic
261C2×C11×SD16C2311yescharacteristic
262C2×C11×SD16C2311yescharacteristic
263C2×C11×SD16C2311yescharacteristic
264C2×C11×M16C2311yescharacteristic
265C22×C8×C11C2311yescharacteristic
266C11×C4⋊Q8—21no—
267C11×C4⋊Q8C2311yescharacteristic
268C11×#124C2311yescharacteristic
269C11×#123—21no—
270C11×C22⋊Q8—21no—
271C11×C22⋊Q8—21no—
272C11×C22⋊Q8C2311yescharacteristic
273C11×C22⋊Q8C2311yescharacteristic
274C11×C22⋊Q8C2311yescharacteristic
275C11×#121—21no—
276C11×#121C2311yescharacteristic
277C11×#120—21no—
278C4×Q8×C11C2311yescharacteristic
279C4×D4×C11—21no—
280C4×D4×C11C2311yescharacteristic
281C4×D4×C11C2311yescharacteristic
282C2×C11×C22⋊C4—21no—
283#67006—21no—
284C2×C22⋊Dic11—21no—
285#67003—24no—
286#67000—21no—
287#67000C2311yescharacteristic
288#66999—21no—
289#66999—21no—
290#66999C2311yescharacteristic
291#66999C2311yescharacteristic
292#66999C2311yescharacteristic
293Q8×Dic11C2311yescharacteristic
294#66997—21no—
295#66997C2311yescharacteristic
296#66997C2311yescharacteristic
297C2×#4326—24no—
298C2×#4326—24no—
299C2×#4326C2311yescharacteristic
300C2×#4326C2311yescharacteristic
301C2×#4326C2311yescharacteristic
302C2×#4326C2311yescharacteristic
303C2×#4326C2311yescharacteristic
304C2×#4326C2311yescharacteristic
305C2×#4326C2311yescharacteristic
306C2×#4326C2311yescharacteristic
307C2×#4326C2311yescharacteristic
308C2×#4326C2311yescharacteristic
309C2×#4326C2311yescharacteristic
310C2×#4325C2311yescharacteristic
311#66992—21no—
312#66992—21no—
313#66992—21no—
314#66992—21no—
315#66992—21no—
316#66992D411yescharacteristic
317#66991—21no—
318#66991C2311yescharacteristic
319#66990D411yescharacteristic
320#66989C2311yescharacteristic
321#66988—21no—
322#66988—21no—
323D4×Dic11—21no—
324D4×Dic11—21no—
325D4×Dic11C2311yescharacteristic
326C2×#4324—24no—
327C2×#4324C2311yescharacteristic
328C2×#4324C2311yescharacteristic
329C2×#4324C2311yescharacteristic
330C2×#4324C2311yescharacteristic
331C2×#4323C2311yescharacteristic
332C2×#4323C2311yescharacteristic
333#66983—21no—
334#66983—21no—
335#66983C2311yescharacteristic
336#66982—21no—
337C4×C22⋊D11—21no—
338C4×C22⋊D11—21no—
339C4×C22⋊D11—21no—
340C4×C22⋊D11C2311yescharacteristic
341C4×C22⋊D11C2311yescharacteristic
342C2×C4⋊Dic11—21no—
343#66977—21no—
344#66977C2311yescharacteristic
345#66977C2311yescharacteristic
346#66977C2311yescharacteristic
347C2×Dic11⋊C4—21no—
348C2×Dic11⋊C4—21no—
349C22×C11⋊C8C2311yescharacteristic
350C22×C11⋊C8C2311yescharacteristic
351#66971—24no—
352#66971—24no—
353Q16×D11—24no—
354Q16×D11—24no—
355Q16×D11—42no—
356#66969—24no—
357#66969—24no—
358#66969—42no—
359#66968—24no—
360#66968—24no—
361#66968—24no—
362#66968—24no—
363#66968—24no—
364#66968—24no—
365#66968—24no—
366#66968—24no—
367#66968D418yescomplemented
368#66962—24no—
369#66960—24no—
370C2×Dic44—24no—
371C2×Dic44C2311yescharacteristic
372C2×Dic44C2311yescharacteristic
373C2×Dic44C2311yescharacteristic
374C2×Dic44C2311yescharacteristic
375C2×Dic44C2311yescharacteristic
376C2×Dic44C2311yescharacteristic
377C2×#4314C2311yescharacteristic
378C2×#4314C2311yescharacteristic
379C2×#4314C2311yescharacteristic
380C2×#4313—24no—
381C2×#4313C2311yescharacteristic
382C2×#4313C2311yescharacteristic
383C2×#4313C2311yescharacteristic
384C2×#4313C2311yescharacteristic
385C2×#4313C2311yescharacteristic
386C2×C8×D11C2311yescharacteristic
387C2×C8×D11C2311yescharacteristic
388C2×C8×D11C2311yescharacteristic
389#66950—21no—
390#66950C2311yescharacteristic
391#66950C2311yescharacteristic
392#66950C2311yescharacteristic
393#66949—21no—
394#66949—21no—
395#66949—21no—
396#66949—21no—
397#66949—21no—
398#66949—21no—
399#66949—21no—
400#66949—21no—
401#66949—21no—
402#66949D411yescharacteristic
403#66948—21no—
404#66948C2311yescharacteristic
405#66947—21no—
406#66947—21no—
407#66947—21no—
408#66947—21no—
409#66947D411yescharacteristic
410#66946—21no—
411#66946—21no—
412#66946—21no—
413#66945—21no—
414#66945C2311yescharacteristic
415C4⋊C4×D11—21no—
416C4⋊C4×D11C2311yescharacteristic
417#66941—21no—
418#66941—21no—
419#66941—21no—
420#66941—21no—
421#66941—21no—
422#66940—21no—
423#66940C2311yescharacteristic
424#66940C2311yescharacteristic
425#66939—21no—
426#66939—21no—
427#66938—21no—
428#66938—21no—
429#66938—21no—
430#66938—21no—
431#66938—21no—
432#66937—21no—
433#66937—21no—
434#66937—21no—
435#66937D411yescharacteristic
436#66936—21no—
437#66936—21no—
438#66936—21no—
439#66936D411yescharacteristic
440#66935—21no—
441#66935D411yescharacteristic
442(C22⋊D11)⋊C4—21no—
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—
448C22⋊C4×D11—21no—
449#66931—21no—
450#66931—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#66931D411yescharacteristic
460#66930—21no—
461#66928—21no—
462#66928C2311yescharacteristic
463C4×D44—21no—
464C4×D44C2311yescharacteristic
465#66925—21no—
466#66925C2311yescharacteristic
467#66922C2311yescharacteristic
468C4×Dic22—21no—
469C4×Dic22C2311yescharacteristic
470C4×Dic22C2311yescharacteristic
471C11×#107C2311yescharacteristic
472C11×C4⋊C8C2311yescharacteristic
473C11×#103C2311yescharacteristic
474C11×#103C2311yescharacteristic
475C11×#103C2311yescharacteristic
476C11×#103C2311yescharacteristic
477C11×#102C2311yescharacteristic
478C11×#102C2311yescharacteristic
479C11×C22⋊C8C2311yescharacteristic
480C11×C22⋊C8C2311yescharacteristic
481C11×#97C2311yescharacteristic
482#66899C2311yescharacteristic
483#66899C2311yescharacteristic
484#66899C2311yescharacteristic
485#66899C2311yescharacteristic
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#66871C2311yescharacteristic
513C4⋊(C11⋊C8)C2311yescharacteristic
514C4×C11⋊C8C2311yescharacteristic
515#61076—111nomaximal, Sylow
516C24×C11—21no—
517C23×D11C2×D411yescharacteristic
518C11×#41—22no—
519C11×#41—41no—
520C2×Q8×C11—21no—
521C2×Q8×C11—21no—
522C2×Q8×C11—22no—
523C2×Q8×C11—22no—
524C2×Q8×C11—41no—
525C2×Q8×C11—41no—
526C2×Q8×C11C2411yescharacteristic
527C2×Q8×C11C2411yescharacteristic
528C2×Q8×C11C2411yescharacteristic
529C2×Q8×C11C2411yescharacteristic
530C2×D4×C11—22no—
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
538C22×C4×C11—21no—
539C22×C4×C11—21no—
540C22×C4×C11—21no—
541C22×C4×C11—21no—
542C22×C4×C11C2411yescharacteristic
543C22×C4×C11C2411yescharacteristic
544C2×C22⋊D11—21no—
545C2×C22⋊D11—21no—
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—44no—
553C2×C22⋊D11C2×D411yescharacteristic
554C2×C22⋊D11C2×D411yescharacteristic
555C2×C22⋊D11C2×D411yescharacteristic
556C2×C22⋊D11C2×D411yescharacteristic
557C22×Dic11—21no—
558C22×Dic11—21no—
559C22×Dic11—21no—
560C22×Dic11—21no—
561C22×Dic11—21no—
562C22×Dic11—21no—
563C22×Dic11—21no—
564C22×Dic11—21no—
565C22×Dic11—21no—
566C22×Dic11—44no—
567C22×Dic11C2×D411yescharacteristic
568#4343—22no—
569#4343—22no—
570#4343—22no—
571#4343—41no—
572#4343—44no—
573Q8×D11—22no—
574Q8×D11—22no—
575Q8×D11—22no—
576Q8×D11—22no—
577Q8×D11—22no—
578Q8×D11—22no—
579Q8×D11—22no—
580Q8×D11—22no—
581Q8×D11—22no—
582Q8×D11—41no—
583Q8×D11—41no—
584Q8×D11—41no—
585Q8×D11—41no—
586Q8×D11—44no—
587Q8×D11—44no—
588Q8×D11—44no—
589Q8×D11C2×D414yes—
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—44no—
600#4341—44no—
601#4341—44no—
602#4341—44no—
603#4341C2×D414yes—
604#4339—22no—
605#4339—22no—
606#4339—22no—
607#4339—41no—
608#4339—44no—
609#4339—44no—
610#4339—44no—
611C2×D44—21no—
612C2×D44—21no—
613C2×D44—21no—
614C2×D44C2×D411yescharacteristic
615C2×D44C2×D411yescharacteristic
616C2×D44C2411yescharacteristic
617C2×C4×D11—22no—
618C2×C4×D11—22no—
619C2×C4×D11—21no—
620C2×C4×D11—21no—
621C2×C4×D11—21no—
622C2×C4×D11—21no—
623C2×C4×D11—21no—
624C2×C4×D11—21no—
625C2×C4×D11—21no—
626C2×C4×D11—21no—
627C2×C4×D11—21no—
628C2×C4×D11—21no—
629C2×C4×D11—21no—
630C2×C4×D11—44no—
631C2×C4×D11C2×D411yescharacteristic
632C2×C4×D11C2×D411yescharacteristic
633C2×C4×D11C2411yescharacteristic
634C2×C4×D11C2411yescharacteristic
635C2×C4×D11C2411yescharacteristic
636C2×Dic22—21no—
637C2×Dic22—22no—
638C2×Dic22—22no—
639C2×Dic22—22no—
640C2×Dic22—21no—
641C2×Dic22—21no—
642C2×Dic22—21no—
643C2×Dic22—21no—
644C2×Dic22—21no—
645C2×Dic22—21no—
646C2×Dic22—21no—
647C2×Dic22—21no—
648C2×Dic22—21no—
649C2×Dic22—41no—
650C2×Dic22—41no—
651C2×Dic22—41no—
652C2×Dic22—44no—
653C2×Dic22—44no—
654C2×Dic22C2×D411yescharacteristic
655C2×Dic22C2411yescharacteristic
656C2×Dic22C2411yescharacteristic
657C2×Dic22C2411yescharacteristic
658C2×Dic22C2411yescharacteristic
659C2×Dic22C2411yescharacteristic
660C11×Q16—22no—
661C11×Q16—22no—
662C11×Q16—41no—
663C11×SD16—22no—
664C11×SD16—22no—
665C11×SD16—22no—
666C11×SD16—22no—
667C11×SD16—41no—
668C11×SD16C2×D414yes—
669C11×M16—22no—
670C2×C8×C11—22no—
671C2×C8×C11C2411yescharacteristic
672C2×C8×C11C2411yescharacteristic
673C2×C8×C11C2411yescharacteristic
674C2×C8×C11C2411yescharacteristic
675C11×C4⋊C4—21no—
676C11×C4⋊C4—21no—
677C11×C4⋊C4—21no—
678C11×C4⋊C4—21no—
679C11×C4⋊C4—21no—
680C11×C4⋊C4—21no—
681C11×C4⋊C4C2×D411yescharacteristic
682C11×C4⋊C4C2411yescharacteristic
683C11×C4⋊C4C2411yescharacteristic
684C11×C22⋊C4—21no—
685C11×C22⋊C4—21no—
686C11×C22⋊C4—21no—
687C11×C22⋊C4—21no—
688C11×C22⋊C4—21no—
689C11×C22⋊C4—21no—
690C11×C22⋊C4—21no—
691C11×C22⋊C4C2×D411yescharacteristic
692C11×C22⋊C4C2×D411yescharacteristic
693C42×C11—21no—
694C42×C11C2411yescharacteristic
695C22⋊Dic11—21no—
696C22⋊Dic11—21no—
697C22⋊Dic11—21no—
698C22⋊Dic11—21no—
699C22⋊Dic11—21no—
700C22⋊Dic11—21no—
701C22⋊Dic11—21no—
702C22⋊Dic11C2×D411yescharacteristic
703C22⋊Dic11C2×D411yescharacteristic
704#4326—22no—
705#4326—22no—
706#4326—22no—
707#4326—22no—
708#4326—22no—
709#4326—22no—
710#4326—22no—
711#4326—41no—
712#4326—41no—
713#4326—41no—
714#4326C2×D414yes—
715#4325—22no—
716#4324—22no—
717#4324—22no—
718#4324—22no—
719#4324C2×D414yes—
720#4323—22no—
721#4323—41no—
722(C2×D11)⋊C4—21no—
723(C2×D11)⋊C4—21no—
724(C2×D11)⋊C4—21no—
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)⋊C4C2×D411yescharacteristic
736(C2×D11)⋊C4C2×D411yescharacteristic
737(C2×D11)⋊C4C2×D411yescharacteristic
738(C2×D11)⋊C4C2×D411yescharacteristic
739(C2×D11)⋊C4C2×D411yescharacteristic
740(C2×D11)⋊C4C2×D411yescharacteristic
741C4⋊Dic11—21no—
742C4⋊Dic11—21no—
743C4⋊Dic11—21no—
744C4⋊Dic11—21no—
745C4⋊Dic11—21no—
746C4⋊Dic11—21no—
747C4⋊Dic11C2×D411yescharacteristic
748C4⋊Dic11C2411yescharacteristic
749C4⋊Dic11C2411yescharacteristic
750Dic11⋊C4—21no—
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⋊C4C2×D411yescharacteristic
766Dic11⋊C4C2×D411yescharacteristic
767Dic11⋊C4C2×D411yescharacteristic
768Dic11⋊C4C2×D411yescharacteristic
769C4×Dic11—21no—
770C4×Dic11—21no—
771C4×Dic11—21no—
772C4×Dic11—21no—
773C4×Dic11—21no—
774C4×Dic11—21no—
775C4×Dic11C2411yescharacteristic
776C2×C11⋊C8—22no—
777C2×C11⋊C8—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#4313C2×D414yes—
796C8×D11—22no—
797C8×D11—22no—
798C8×D11—22no—
799C2×#578—111no—
800C22×#137—111no—
801#3489—111no—
802#3486—111no—
803D4×Q16—111no—
804D4×Q16—111no—
805#3282—111no—
806#3282—111no—
807#3277—111no—
808#3277—111no—
809#3276—111no—
810#3276—111no—
811#3270—111no—
812#3270—111no—
813#3270—111no—
814#3270—111no—
815#3269—111no—
816#3269—111no—
817#3266—111no—
818#3266D1111yescharacteristic, complemented
819#3156—111no—
820#3063—111no—
821#3056—111no—
822#3046—111no—
823#3044—111no—
824#3013—111no—
825#3011—111no—
826#3002—111no—
827C2×#451—111no—
828#2947—111no—
829#2933—111no—
830C23×C11—21no—
831C23×C11—21no—
832C23×C11—42no—
833C23×C11—42no—
834C23×C11—81no—
835C23×C11C22×D411yescharacteristic
836C23×C11C22×D411yescharacteristic
837C22×D11—22no—
838C22×D11—22no—
839C22×D11—21no—
840C22×D11—41no—
841C22×D11C22×D411yescharacteristic
842C22×D11C22×D411yescharacteristic
843C22×D11C22×D411yescharacteristic
844Q8×C11—21no—
845Q8×C11—21no—
846Q8×C11—21no—
847Q8×C11—21no—
848Q8×C11—21no—
849Q8×C11—21no—
850Q8×C11—21no—
851Q8×C11—42no—
852Q8×C11—42no—
853Q8×C11C22×D412yes—
854D4×C11—22no—
855D4×C11—21no—
856D4×C11—21no—
857D4×C11—21no—
858D4×C11—42no—
859D4×C11—42no—
860D4×C11—81no—
861D4×C11C22×D412yes—
862C2×C4×C11—21no—
863C2×C4×C11—21no—
864C2×C4×C11—21no—
865C2×C4×C11—21no—
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—42no—
873C2×C4×C11—42no—
874C2×C4×C11—42no—
875C2×C4×C11—81no—
876C2×C4×C11C22×D411yescharacteristic
877C2×C4×C11C22×D411yescharacteristic
878C2×C4×C11C22×D411yescharacteristic
879C2×C4×C11C22×D411yescharacteristic
880C2×C4×C11C2511yescharacteristic
881C22⋊D11—22no—
882C22⋊D11—22no—
883C22⋊D11—24no—
884C22⋊D11—22no—
885C22⋊D11—41no—
886C22⋊D11—42no—
887C22⋊D11—42no—
888C22⋊D11—42no—
889C22⋊D11—42no—
890C22⋊D11—42no—
891C22⋊D11—42no—
892C22⋊D11—81no—
893C2×Dic11—21no—
894C2×Dic11—21no—
895C2×Dic11—22no—
896C2×Dic11—24no—
897C2×Dic11—21no—
898C2×Dic11—21no—
899C2×Dic11—21no—
900C2×Dic11—21no—
901C2×Dic11—21no—
902C2×Dic11—42no—
903C2×Dic11—42no—
904C2×Dic11—42no—
905C2×Dic11—42no—
906C2×Dic11—42no—
907C2×Dic11—42no—
908C2×Dic11—42no—
909C2×Dic11—81no—
910C2×Dic11C22×D411yescharacteristic
911C2×Dic11C22×D411yescharacteristic
912C2×Dic11C22×D411yescharacteristic
913C2×Dic11C22×D411yescharacteristic
914C2×Dic11C22×D411yescharacteristic
915D44—22no—
916D44—21no—
917D44—21no—
918D44—41no—
919D44—42no—
920D44—42no—
921D44—42no—
922C4×D11—22no—
923C4×D11—24no—
924C4×D11—21no—
925C4×D11—21no—
926C4×D11—21no—
927C4×D11—21no—
928C4×D11—22no—
929C4×D11—42no—
930C4×D11—42no—
931C4×D11—42no—
932C4×D11—42no—
933C4×D11—42no—
934C4×D11—42no—
935C4×D11—42no—
936C4×D11—42no—
937C4×D11—42no—
938C4×D11—81no—
939C4×D11C22×D412yes—
940C4×D11H(5,𝔽2)12yes—
941Dic22—21no—
942Dic22—21no—
943Dic22—24no—
944Dic22—22no—
945Dic22—21no—
946Dic22—21no—
947Dic22—21no—
948Dic22—21no—
949Dic22—21no—
950Dic22—21no—
951Dic22—42no—
952Dic22—42no—
953Dic22—42no—
954Dic22—42no—
955Dic22—42no—
956Dic22—42no—
957Dic22—42no—
958Dic22—42no—
959Dic22—42no—
960Dic22C22×D412yes—
961Dic22C22×D412yes—
962C8×C11—21no—
963C8×C11—21no—
964C8×C11—21no—
965C8×C11C22×D412yes—
966C11⋊C8—21no—
967C11⋊C8—21no—
968C11⋊C8—21no—
969C11⋊C8C22×D412yes—
970C2×2−1+4—111no—
971C2×2−1+4—111no—
972C22×#41—111no—
973C23×Q8—111no—
974#578—228no—
975C2×#137—111no—
976C2×#137—111no—
977C2×#137—111no—
978C2×#137—111no—
979C2×#137—111no—
980C2×#137—111no—
981C2×#137—111no—
982C2×#137—111no—
983C2×#137—111no—
984C2×#137—111no—
985C2×#137—111no—
986C2×#137—111no—
987C2×#137—228no—
988C2×#137C2×D1111yescharacteristic, complemented
989C2×#135—111no—
990C2×#135—111no—
991C2×#135—111no—
992C2×#135—111no—
993C22×Q16—111no—
994C22×Q16—111no—
995C22×Q16—111no—
996C22×Q16—111no—
997C22×Q16—111no—
998C22×Q16—111no—
999C22×SD16—111no—
1000C22×SD16C2×D1111yescharacteristic
1001C2×#131—111no—
1002C22×M16—111no—
1003D4×Q8—111no—
1004D4×Q8—111no—
1005D4×Q8—111no—
1006D4×Q8—111no—
1007D4×Q8—111no—
1008D4×Q8—221no—
1009D4×Q8—221no—
1010D4×Q8C2×D1111yescharacteristic
1011#548—111no—
1012#548—111no—
1013#548—111no—
1014#548—111no—
1015#548—111no—
1016#548—111no—
1017#548—221no—
1018#548—221no—
1019#547—111no—
1020#547—111no—
1021#547—221no—
1022#547—221no—
1023#546—111no—
1024#546—221no—
1025#546—221no—
1026#546C2×D1111yescharacteristic
1027#537—111no—
1028#537—221no—
1029#536—111no—
1030#536—111no—
1031#536—111no—
1032#536—221no—
1033#536—221no—
1034#536—221no—
1035#525—111no—
1036#525—111no—
1037#525—221no—
1038#525—221no—
1039#525—221no—
1040C2×C22⋊Q8—111no—
1041C2×C22⋊Q8—221no—
1042#520—111no—
1043#519—111no—
1044#497—111no—
1045#497—111no—
1046#497—111no—
1047#497C2×D1111yescharacteristic, complemented
1048#495—111no—
1049#495—111no—
1050#494—111no—
1051#494—111no—
1052#470—111no—
1053#470—111no—
1054#470—111no—
1055#470—111no—
1056#468—111no—
1057#468—111no—
1058#468—111no—
1059#468C2×D1111yescharacteristic, complemented
1060#467—111no—
1061#467—111no—
1062#467—111no—
1063#467C2×D1111yescharacteristic
1064#465—111no—
1065#465—111no—
1066#465—111no—
1067#465—111no—
1068#464—111no—
1069#464—111no—
1070#464—111no—
1071#464—111no—
1072#464—111no—
1073#464C2×D1111yescharacteristic, complemented
1074#463—111no—
1075#463—111no—
1076#462—111no—
1077#462—111no—
1078#462—111no—
1079#462—111no—
1080#462—111no—
1081#462—111no—
1082#461—111no—
1083#461C2×D1111yescharacteristic, complemented
1084#452—111no—
1085#452—111no—
1086#452—111no—
1087#452—111no—
1088#452—111no—
1089#452—111no—
1090#452—111no—
1091#452C2×D1111yescharacteristic, complemented
1092#451—111no—
1093#451—111no—
1094#451—111no—
1095#451—111no—
1096#451—111no—
1097#451—111no—
1098#451—111no—
1099#451—111no—
1100#451—111no—
1101#451—111no—
1102#451—111no—
1103#451—111no—
1104#451—111no—
1105#451—111no—
1106#451C2×D1111yescharacteristic
1107#450C2×D1111yescharacteristic
1108#449—111no—
1109#449—111no—
1110#449—111no—
1111#449—111no—
1112#448—111no—
1113#448—111no—
1114#448C2×D1111yescharacteristic, complemented
1115#447—111no—
1116#441—111no—
1117#441—111no—
1118#440—111no—
1119#440C2×D1111yescharacteristic, complemented
1120C4×Q16—111no—
1121C4×Q16—111no—
1122C4×SD16—111no—
1123C4×SD16—111no—
1124#436—111no—
1125#436—111no—
1126#435—111no—
1127#435—111no—
1128#435—111no—
1129#435C2×D1111yescharacteristic
1130C8×D4—111no—
1131C8×D4—111no—
1132#428—111no—
1133#424—111no—
1134#419—111no—
1135#417—111no—
1136#416—111no—
1137#416—111no—
1138C2×#103—111no—
1139C2×#103—111no—
1140#408—111no—
1141C2×C22⋊C8—111no—
1142#405—111no—
1143C22×C11—21no—
1144C22×C11—21no—
1145C22×C11—21no—
1146C22×C11—21no—
1147C22×C11—22no—
1148C22×C11—21no—
1149C22×C11—41no—
1150C22×C11—41no—
1151C22×C11—41no—
1152C22×C11—41no—
1153C22×C11—41no—
1154C22×C11—84no—
1155C22×C11#57812yescomplemented
1156C22×C11C23×D411yescharacteristic
1157C2×D11—21no—
1158C2×D11—21no—
1159C2×D11—21no—
1160C2×D11—21no—
1161C2×D11—21no—
1162C2×D11—21no—
1163C2×D11—21no—
1164C2×D11—21no—
1165C2×D11—44no—
1166C2×D11—41no—
1167C2×D11—41no—
1168C2×D11—41no—
1169C2×D11D4212yes—
1170C4×C11—21no—
1171C4×C11—21no—
1172C4×C11—21no—
1173C4×C11—22no—
1174C4×C11—21no—
1175C4×C11—41no—
1176C4×C11—41no—
1177C4×C11—41no—
1178C4×C11—41no—
1179C4×C11—41no—
1180C4×C11C23×D411yescharacteristic
1181C4×C11C2×H(5,𝔽2)11yescharacteristic
1182Dic11—21no—
1183Dic11—22no—
1184Dic11—21no—
1185Dic11—22no—
1186Dic11—21no—
1187Dic11—21no—
1188Dic11—41no—
1189Dic11—41no—
1190Dic11—41no—
1191Dic11—41no—
1192Dic11—41no—
1193Dic11D4212yes—
11942−1+4—224no—
11952−1+4—224no—
11962−1+4—442no—
11972−1+4—442no—
1198C2×#41—111no—
1199C2×#41—111no—
1200C2×#41—111no—
1201C2×#41—111no—
1202C2×#41—111no—
1203C2×#41—111no—
1204C2×#41—111no—
1205C2×#41—111no—
1206C2×#41—111no—
1207C2×#41—221no—
1208C2×#41—221no—
1209C2×#41—221no—
1210C2×#41—221no—
1211C2×#41—221no—
1212C2×#41—221no—
1213C2×#41—221no—
1214C2×#41—221no—
1215C2×#41—224no—
1216C2×#41—442no—
1217C2×#41C22×D1111yescharacteristic
1218C22×Q8—111no—
1219C22×Q8—111no—
1220C22×Q8—111no—
1221C22×Q8—111no—
1222C22×Q8—111no—
1223C22×Q8—111no—
1224C22×Q8—111no—
1225C22×Q8—111no—
1226C22×Q8—111no—
1227C22×Q8—111no—
1228C22×Q8—221no—
1229C22×Q8—221no—
1230C22×Q8—221no—
1231C22×Q8—221no—
1232C22×Q8—221no—
1233C22×Q8—224no—
1234C22×Q8—442no—
1235C22×Q8C22×D1111yescharacteristic
1236C22×Q8C22×D1111yescharacteristic
1237C22×D4—221no—
1238C22×D4C22×D1111yescharacteristic
1239C23×C4—111no—
1240C23×C4—221no—
1241C23×C4—221no—
1242#137—24no—
1243#137—118no—
1244#137—224no—
1245#137—224no—
1246#137—224no—
1247#137—224no—
1248#137—224no—
1249#137—224no—
1250#137—224no—
1251#137—224no—
1252#137—224no—
1253#137—224no—
1254#137—224no—
1255#135—224no—
1256#135—224no—
1257#135—224no—
1258#135—442no—
1259C2×Q16—111no—
1260C2×Q16—111no—
1261C2×Q16—111no—
1262C2×Q16—111no—
1263C2×Q16—111no—
1264C2×Q16—111no—
1265C2×Q16—111no—
1266C2×Q16—111no—
1267C2×Q16—111no—
1268C2×Q16—111no—
1269C2×Q16—111no—
1270C2×Q16—111no—
1271C2×Q16—111no—
1272C2×Q16—111no—
1273C2×Q16—111no—
1274C2×Q16—111no—
1275C2×Q16—111no—
1276C2×Q16—224no—
1277C2×Q16—224no—
1278C2×Q16—224no—
1279C2×Q16—224no—
1280C2×Q16—224no—
1281C2×Q16—442no—
1282C2×Q16C22×D1111yescharacteristic
1283C2×Q16C22×D1111yescharacteristic
1284C2×Q16C22×D1111yescharacteristic
1285C2×SD16—24no—
1286C2×SD16—111no—
1287C2×SD16—111no—
1288C2×SD16—111no—
1289C2×SD16—111no—
1290C2×SD16—111no—
1291C2×SD16—111no—
1292C2×SD16—111no—
1293C2×SD16—111no—
1294C2×SD16—224no—
1295C2×SD16C22×D1111yescharacteristic
1296C2×SD16C22×D1111yescharacteristic
1297C2×SD16C22×D1111yescharacteristic
1298C2×SD16C22×D1111yescharacteristic
1299C2×SD16C22×D1111yescharacteristic
1300C2×SD16C22×D1111yescharacteristic
1301C2×D8—111no—
1302C2×D8—111no—
1303#131—224no—
1304C2×M16—111no—
1305C2×M16—111no—
1306C2×M16—111no—
1307C2×M16—111no—
1308C2×M16—111no—
1309C2×M16—224no—
1310C2×M16C22×D1111yescharacteristic
1311C22×C8—111no—
1312C22×C8—111no—
1313C22×C8—111no—
1314C22×C8—111no—
1315C22×C8—111no—
1316C22×C8C22×D1111yescharacteristic
1317C4⋊Q8—21no—
1318C4⋊Q8—111no—
1319C4⋊Q8—111no—
1320C4⋊Q8—111no—
1321C4⋊Q8—221no—
1322C4⋊Q8—221no—
1323C4⋊Q8—221no—
1324C4⋊Q8—221no—
1325C4⋊Q8—221no—
1326C4⋊Q8—221no—
1327C4⋊Q8C22×D1111yescharacteristic
1328#124—111no—
1329#124—111no—
1330#124—111no—
1331#124—221no—
1332#124—221no—
1333#124—221no—
1334#124—221no—
1335#124—221no—
1336#124—221no—
1337#124—221no—
1338#124C22×D1111yescharacteristic
1339#123—21no—
1340#123—111no—
1341#123—111no—
1342#123—221no—
1343#123—221no—
1344#123—221no—
1345#123—221no—
1346#123—221no—
1347#123—221no—
1348#123—221no—
1349#123—221no—
1350#123—221no—
1351#123—221no—
1352#123—221no—
1353#123—221no—
1354C22⋊Q8—21no—
1355C22⋊Q8—21no—
1356C22⋊Q8—111no—
1357C22⋊Q8—111no—
1358C22⋊Q8—111no—
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—221no—
1368C22⋊Q8—221no—
1369C22⋊Q8—221no—
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⋊Q8C22×D1111yescharacteristic
1391C22⋊Q8C22×D1111yescharacteristic
1392C22⋊Q8C22×D1111yescharacteristic
1393#121—21no—
1394#121—111no—
1395#121—111no—
1396#121—111no—
1397#121—111no—
1398#121—111no—
1399#121—221no—
1400#121—221no—
1401#121—221no—
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#121C22×D1111yescharacteristic
1412#120—21no—
1413#120—111no—
1414#120—111no—
1415#120—221no—
1416#120—221no—
1417C4×Q8—111no—
1418C4×Q8—111no—
1419C4×Q8—111no—
1420C4×Q8—111no—
1421C4×Q8—111no—
1422C4×Q8—221no—
1423C4×Q8—221no—
1424C4×Q8C22×D1111yescharacteristic
1425C4×D4—21no—
1426C4×D4—111no—
1427C4×D4—111no—
1428C4×D4—111no—
1429C4×D4—111no—
1430C4×D4—221no—
1431C4×D4—221no—
1432C4×D4—221no—
1433C4×D4—221no—
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×D4C22×D1111yescharacteristic
1446C4×D4C22×D1111yescharacteristic
1447#117—111no—
1448#117—111no—
1449#117—221no—
1450#117—221no—
1451#117—221no—
1452C2×C4⋊C4—111no—
1453C2×C4⋊C4—221no—
1454C2×C4⋊C4—221no—
1455C2×C4⋊C4—221no—
1456C2×C4⋊C4—221no—
1457C2×C22⋊C4—21no—
1458C2×C22⋊C4—221no—
1459C2×C22⋊C4—221no—
1460#107—111no—
1461#107C22×D1111yescharacteristic
1462#106—111no—
1463#106—111no—
1464C4⋊C8—111no—
1465C4⋊C8—111no—
1466C4⋊C8—111no—
1467C4⋊C8C22×D1111yescharacteristic
1468#103—111no—
1469#103—111no—
1470#103—111no—
1471#103—111no—
1472#103—111no—
1473#103—111no—
1474#103—111no—
1475#103—111no—
1476#103—111no—
1477#103—111no—
1478#103—111no—
1479#103—111no—
1480#103—111no—
1481#103—111no—
1482#103C22×D1111yescharacteristic
1483#103C22×D1111yescharacteristic
1484#103C22×D1111yescharacteristic
1485#103C22×D1111yescharacteristic
1486#102—111no—
1487#102—111no—
1488#102—111no—
1489#102—111no—
1490#102C22×D1111yescharacteristic
1491#102C22×D1111yescharacteristic
1492C22⋊C8—111no—
1493C22⋊C8—111no—
1494C22⋊C8—111no—
1495C22⋊C8—111no—
1496C22⋊C8—111no—
1497C22⋊C8—111no—
1498C22⋊C8C22×D1111yescharacteristic
1499C22⋊C8C22×D1111yescharacteristic
1500#97—111no—
1501#97C22×D1111yescharacteristic
1502C4×C8—111no—
1503C4×C8—111no—
1504C2×C11—22no—
1505C2×C11—41no—
1506C2×C11—42no—
1507C2×C11—81no—
1508C2×C11C2×D4211yescharacteristic
1509C2×C11C2×#57811yescharacteristic
1510C2×C11#358611yescharacteristic
1511D11—22no—
1512D11—41no—
1513D11—41no—
1514D11—81no—
1515C24—21no—
1516C24—111no—
1517#41—22no—
1518#41—41no—
1519#41—114no—
1520#41—222no—
1521#41—222no—
1522#41—222no—
1523#41—222no—
1524#41—222no—
1525#41—222no—
1526#41—222no—
1527#41—222no—
1528#41—222no—
1529#41—222no—
1530#41—222no—
1531#41—222no—
1532#41—441no—
1533#41—444no—
1534#41—444no—
1535#41—444no—
1536#41—444no—
1537#41—441no—
1538#41—441no—
1539#41—441no—
1540#41—444no—
1541#41—444no—
1542#41—441no—
1543#41—444no—
1544#41—444no—
1545C2×Q8—21no—
1546C2×Q8—21no—
1547C2×Q8—22no—
1548C2×Q8—22no—
1549C2×Q8—41no—
1550C2×Q8—41no—
1551C2×Q8—111no—
1552C2×Q8—114no—
1553C2×Q8—111no—
1554C2×Q8—111no—
1555C2×Q8—111no—
1556C2×Q8—111no—
1557C2×Q8—111no—
1558C2×Q8—221no—
1559C2×Q8—221no—
1560C2×Q8—221no—
1561C2×Q8—221no—
1562C2×Q8—221no—
1563C2×Q8—221no—
1564C2×Q8—221no—
1565C2×Q8—222no—
1566C2×Q8—222no—
1567C2×Q8—222no—
1568C2×Q8—222no—
1569C2×Q8—222no—
1570C2×Q8—222no—
1571C2×Q8—222no—
1572C2×Q8—222no—
1573C2×Q8—221no—
1574C2×Q8—221no—
1575C2×Q8—221no—
1576C2×Q8—222no—
1577C2×Q8—222no—
1578C2×Q8—222no—
1579C2×Q8—222no—
1580C2×Q8—441no—
1581C2×Q8—441no—
1582C2×Q8—441no—
1583C2×Q8—444no—
1584C2×Q8—444no—
1585C2×Q8—444no—
1586C2×Q8—441no—
1587C2×Q8—441no—
1588C2×Q8—441no—
1589C2×Q8—441no—
1590C2×Q8—444no—
1591C2×Q8—444no—
1592C2×Q8C23×D1111yescharacteristic
1593C2×Q8C23×D1111yescharacteristic
1594C2×Q8C23×D1111yescharacteristic
1595C2×Q8C23×D1111yescharacteristic
1596C2×D4—22no—
1597C2×D4—21no—
1598C2×D4—21no—
1599C2×D4—21no—
1600C2×D4—41no—
1601C2×D4—111no—
1602C2×D4—111no—
1603C2×D4—111no—
1604C2×D4—111no—
1605C2×D4—111no—
1606C2×D4—111no—
1607C2×D4—111no—
1608C2×D4—221no—
1609C2×D4—221no—
1610C2×D4—221no—
1611C2×D4—221no—
1612C2×D4—221no—
1613C2×D4—221no—
1614C2×D4—221no—
1615C2×D4—221no—
1616C2×D4—221no—
1617C2×D4—221no—
1618C2×D4—221no—
1619C2×D4—444no—
1620C2×D4D4×D1111yescharacteristic
1621C2×D4C23×D1111yescharacteristic
1622C2×D4C23×D1111yescharacteristic
1623C22×C4—21no—
1624C22×C4—21no—
1625C22×C4—21no—
1626C22×C4—21no—
1627C22×C4—111no—
1628C22×C4—111no—
1629C22×C4—111no—
1630C22×C4—111no—
1631C22×C4—111no—
1632C22×C4—111no—
1633C22×C4—222no—
1634C22×C4—222no—
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—444no—
1656C22×C4—444no—
1657C22×C4C23×D1111yescharacteristic
1658C22×C4C23×D1111yescharacteristic
1659Q16—22no—
1660Q16—22no—
1661Q16—41no—
1662Q16—114no—
1663Q16—114no—
1664Q16—222no—
1665Q16—222no—
1666Q16—222no—
1667Q16—222no—
1668Q16—222no—
1669Q16—222no—
1670Q16—222no—
1671Q16—222no—
1672Q16—222no—
1673Q16—222no—
1674Q16—222no—
1675Q16—441no—
1676Q16—441no—
1677Q16—441no—
1678Q16—441no—
1679SD16—22no—
1680SD16—22no—
1681SD16—22no—
1682SD16—22no—
1683SD16—41no—
1684SD16—114no—
1685SD16—222no—
1686SD16—222no—
1687SD16—222no—
1688SD16—222no—
1689SD16—222no—
1690SD16—222no—
1691SD16—441no—
1692SD16D4×D1114yes—
1693D8—222no—
1694D8—441no—
1695M16—22no—
1696M16—114no—
1697M16—222no—
1698M16—222no—
1699M16—222no—
1700M16—222no—
1701C2×C8—22no—
1702C2×C8—111no—
1703C2×C8—111no—
1704C2×C8—111no—
1705C2×C8—111no—
1706C2×C8—222no—
1707C2×C8—222no—
1708C2×C8—222no—
1709C2×C8—222no—
1710C2×C8—222no—
1711C2×C8C23×D1111yescharacteristic
1712C2×C8C23×D1111yescharacteristic
1713C2×C8C23×D1111yescharacteristic
1714C2×C8C23×D1111yescharacteristic
1715C4⋊C4—21no—
1716C4⋊C4—21no—
1717C4⋊C4—21no—
1718C4⋊C4—21no—
1719C4⋊C4—21no—
1720C4⋊C4—21no—
1721C4⋊C4—111no—
1722C4⋊C4—111no—
1723C4⋊C4—111no—
1724C4⋊C4—111no—
1725C4⋊C4—111no—
1726C4⋊C4—111no—
1727C4⋊C4—111no—
1728C4⋊C4—221no—
1729C4⋊C4—221no—
1730C4⋊C4—221no—
1731C4⋊C4—221no—
1732C4⋊C4—221no—
1733C4⋊C4—221no—
1734C4⋊C4—221no—
1735C4⋊C4—221no—
1736C4⋊C4—221no—
1737C4⋊C4—221no—
1738C4⋊C4—221no—
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⋊C4D4×D1111yescharacteristic
1750C4⋊C4C23×D1111yescharacteristic
1751C4⋊C4C23×D1111yescharacteristic
1752C22⋊C4—21no—
1753C22⋊C4—21no—
1754C22⋊C4—21no—
1755C22⋊C4—21no—
1756C22⋊C4—21no—
1757C22⋊C4—21no—
1758C22⋊C4—21no—
1759C22⋊C4—111no—
1760C22⋊C4—111no—
1761C22⋊C4—111no—
1762C22⋊C4—111no—
1763C22⋊C4—111no—
1764C22⋊C4—111no—
1765C22⋊C4—111no—
1766C22⋊C4—111no—
1767C22⋊C4—221no—
1768C22⋊C4—221no—
1769C22⋊C4—221no—
1770C22⋊C4—221no—
1771C22⋊C4—221no—
1772C22⋊C4—221no—
1773C22⋊C4—221no—
1774C22⋊C4—221no—
1775C22⋊C4—221no—
1776C22⋊C4—221no—
1777C22⋊C4—221no—
1778C22⋊C4—221no—
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⋊C4D4×D1111yescharacteristic
1788C22⋊C4D4×D1111yescharacteristic
1789C42—21no—
1790C42—111no—
1791C42—221no—
1792C42—221no—
1793C42—221no—
1794C42—221no—
1795C42—221no—
1796C42—221no—
1797C42C23×D1111yescharacteristic
1798C11#6107611yescharacteristic, complemented, Sylow
1799C23—21no—
1800C23—21no—
1801C23—42no—
1802C23—42no—
1803C23—81no—
1804C23—111no—
1805C23—111no—
1806C23—111no—
1807C23—222no—
1808C23—222no—
1809C23—221no—
1810C23—441no—
1811C23C2×D4×D1111yescharacteristic
1812C23C2×D4×D1111yescharacteristic
1813Q8—21no—
1814Q8—21no—
1815Q8—21no—
1816Q8—21no—
1817Q8—21no—
1818Q8—21no—
1819Q8—21no—
1820Q8—42no—
1821Q8—42no—
1822Q8—112no—
1823Q8—112no—
1824Q8—224no—
1825Q8—222no—
1826Q8—221no—
1827Q8—221no—
1828Q8—221no—
1829Q8—221no—
1830Q8—221no—
1831Q8—221no—
1832Q8—221no—
1833Q8—221no—
1834Q8—442no—
1835Q8—442no—
1836Q8—442no—
1837Q8—442no—
1838Q8—442no—
1839Q8—442no—
1840Q8—442no—
1841Q8—442no—
1842Q8—442no—
1843Q8C2×D4×D1112yes—
1844D4—22no—
1845D4—21no—
1846D4—21no—
1847D4—21no—
1848D4—42no—
1849D4—42no—
1850D4—81no—
1851D4—222no—
1852D4—222no—
1853D4—222no—
1854D4—224no—
1855D4—222no—
1856D4—221no—
1857D4—221no—
1858D4—441no—
1859D4—442no—
1860D4—442no—
1861D4—442no—
1862D4—441no—
1863D4—442no—
1864D4—442no—
1865D4—442no—
1866D4—442no—
1867D4—442no—
1868D4—442no—
1869D4—881no—
1870D4C2×D4×D1112yes—
1871C2×C4—21no—
1872C2×C4—21no—
1873C2×C4—21no—
1874C2×C4—21no—
1875C2×C4—21no—
1876C2×C4—21no—
1877C2×C4—21no—
1878C2×C4—21no—
1879C2×C4—21no—
1880C2×C4—21no—
1881C2×C4—42no—
1882C2×C4—42no—
1883C2×C4—42no—
1884C2×C4—81no—
1885C2×C4—111no—
1886C2×C4—112no—
1887C2×C4—112no—
1888C2×C4—111no—
1889C2×C4—111no—
1890C2×C4—111no—
1891C2×C4—111no—
1892C2×C4—222no—
1893C2×C4—222no—
1894C2×C4—224no—
1895C2×C4—222no—
1896C2×C4—224no—
1897C2×C4—221no—
1898C2×C4—221no—
1899C2×C4—221no—
1900C2×C4—221no—
1901C2×C4—221no—
1902C2×C4—221no—
1903C2×C4—221no—
1904C2×C4—221no—
1905C2×C4—221no—
1906C2×C4—221no—
1907C2×C4—221no—
1908C2×C4—442no—
1909C2×C4—442no—
1910C2×C4—442no—
1911C2×C4—442no—
1912C2×C4—442no—
1913C2×C4—442no—
1914C2×C4—442no—
1915C2×C4—442no—
1916C2×C4—442no—
1917C2×C4—442no—
1918C2×C4—442no—
1919C2×C4—442no—
1920C2×C4—442no—
1921C2×C4—442no—
1922C2×C4—442no—
1923C2×C4—442no—
1924C2×C4—881no—
1925C2×C4—881no—
1926C2×C4C2×D4×D1111yescharacteristic
1927C2×C4C2×D4×D1111yescharacteristic
1928C2×C4C2×D4×D1111yescharacteristic
1929C2×C4C2×D4×D1111yescharacteristic
1930C2×C4C24×D1111yescharacteristic
1931C8—21no—
1932C8—21no—
1933C8—21no—
1934C8—112no—
1935C8—221no—
1936C8—221no—
1937C8—221no—
1938C8C2×D4×D1112yes—
1939C22—21no—
1940C22—21no—
1941C22—21no—
1942C22—21no—
1943C22—22no—
1944C22—21no—
1945C22—41no—
1946C22—41no—
1947C22—41no—
1948C22—41no—
1949C22—41no—
1950C22—84no—
1951C22—112no—
1952C22—221no—
1953C22—221no—
1954C22—221no—
1955C22—221no—
1956C22—221no—
1957C22—221no—
1958C22—221no—
1959C22—221no—
1960C22—444no—
1961C22—441no—
1962C22—441no—
1963C22—441no—
1964C22#1062331012yescomplemented
1965C22C22×D4×D1111yescharacteristic
1966C4—21no—
1967C4—21no—
1968C4—21no—
1969C4—22no—
1970C4—21no—
1971C4—41no—
1972C4—41no—
1973C4—41no—
1974C4—41no—
1975C4—41no—
1976C4—112no—
1977C4—221no—
1978C4—221no—
1979C4—221no—
1980C4—222no—
1981C4—222no—
1982C4—221no—
1983C4—441no—
1984C4—441no—
1985C4—441no—
1986C4—441no—
1987C4—441no—
1988C4C22×D4×D1111yescharacteristic
1989C4D11×H(5,𝔽2)11yescharacteristic
1990C2—22no—
1991C2—41no—
1992C2—42no—
1993C2—81no—
1994C2—222no—
1995C2—441no—
1996C2—441no—
1997C2—881no—
1998C2D42×D1111yescharacteristic
1999C2C2×#1062331011yescharacteristic
2000C2#1308339811yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3266C2
socleC22×C11C23×D4
hypercenter#3266D11
hypocenterC11#61076
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3266

Complements

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

NH ≅ G/Ntype
1. C2×#10623310C2semidirect
2. C22×#66968C2semidirect
3. #13082287C2semidirect
4. #13082266C2semidirect
5. #13080365C2semidirect
6. D4×#4326C2semidirect
7. #13080323C2semidirect
8. #13080319C2semidirect
9. #13080270C2semidirect
10. #13080268C2semidirect
11. #13080265C2semidirect
12. #13080256C2semidirect
13. #13080191C2semidirect
14. #13080190C2semidirect
15. #13080185C2semidirect
16. #13080179C2semidirect
17. #13080175C2semidirect
18. #13080173C2semidirect
19. #13080130C2semidirect
20. #13079108C2semidirect
21. #13078302C2semidirect
22. #13078243C2semidirect
23. #13078161C2semidirect
24. #13078144C2semidirect
25. #13077926C2semidirect
26. #13077908C2semidirect
27. #13077835C2semidirect
28. D11×#451C2semidirect
29. #13077456C2semidirect
30. #13077342C2semidirect
31. C11×#3266C2semidirect
33. C2×#67040C22semidirect
36. C2×C11×#137C22semidirect
41. C2×#67003C22semidirect
43. Q8×C22⋊D11C22semidirect
45. C22×#4326C22semidirect
49. C2×#66971C22semidirect
50. C2×#66971C22semidirect
51. C2×Q16×D11C22semidirect
52. C2×Q16×D11C22semidirect
53. C2×Q16×D11C22semidirect
56. C2×#66969C22semidirect
66. C2×#66968C22semidirect
67. C2×#66962C22semidirect
68. C2×#66960C22semidirect
72. #10623258C22semidirect
74. #10623255C22semidirect
80. #10623164C22semidirect
85. #10623159C22semidirect
95. #10623107C22semidirect
96. #10623103C22semidirect
106. C11×#497C22semidirect
107. C11×#468C22semidirect
109. C11×#464C22semidirect
110. C11×#461C22semidirect
111. C11×#452C22semidirect
114. C11×#448C22semidirect
115. C11×#440C22semidirect
117. #10622852C22semidirect
119. #10622841C22semidirect
121. #10622803C22semidirect
122. #10622802C22semidirect
123. #10622799C22semidirect
124. #10622799C22semidirect
125. #10622799C22semidirect
126. #10622795C22semidirect
127. #10622794C22semidirect
130. #10622786C22semidirect
131. #10622785C22semidirect
132. #10622784C22semidirect
133. #10622783C22semidirect
134. #10622781C22semidirect
135. #10622780C22semidirect
136. #10622779C22semidirect
137. #10622778C22semidirect
138. #10622775C22semidirect
139. SD16×Dic11C22semidirect
140. #10622750C22semidirect
141. #10622741C22semidirect
144. #10622705C22semidirect
145. #10622703C22semidirect
146. #10622672C22semidirect
147. #10622667C22semidirect
149. #10622664C22semidirect
152. #10622663C22semidirect
154. #10622654C22semidirect
155. #10622650C22semidirect
156. #10622644C22semidirect
157. C4×#4326C22semidirect
158. C4×#4324C22semidirect
159. #10622629C22semidirect
161. #10622500C22semidirect
162. #10622499C22semidirect
163. #10622494C22semidirect
164. #10622486C22semidirect
165. #10622462C22semidirect
166. #10622458C22semidirect
167. #10622452C22semidirect
168. #10622451C22semidirect
169. #10622429C22semidirect
170. #10622429C22semidirect
171. #10622425C22semidirect
172. #10622423C22semidirect
173. #10622421C22semidirect
174. #10622421C22semidirect
175. #10622421C22semidirect
176. #10622421C22semidirect
177. #10622416C22semidirect
178. #10622415C22semidirect
179. D11×#103C22semidirect
180. D11×#103C22semidirect
181. #10622411C22semidirect
182. #10622406C22semidirect
183. #10622406C22semidirect
184. #10622402C22semidirect
185. #10622396C22semidirect
188. #10622393C22semidirect
191. #10622380C22semidirect
192. #10622370C22semidirect
194. #10622352C22semidirect
196. #10622346C22semidirect
198. #10622343C22semidirect
199. #10622340C22semidirect
201. #10622329C22semidirect
202. #10622328C22semidirect
203. #10622321C22semidirect
204. #10622319C22semidirect
367. #66968D4semidirect
818. #3266D11semidirect
988. C2×#137C2×D11semidirect
1047. #497C2×D11semidirect
1059. #468C2×D11semidirect
1073. #464C2×D11semidirect
1083. #461C2×D11semidirect
1091. #452C2×D11semidirect
1114. #448C2×D11semidirect
1119. #440C2×D11semidirect
1155. C22×C11#578semidirect
1798. C11#61076semidirect
1964. C22#10623310semidirect

Maximal subgroups

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

subgroupindex
C2×#106233102
C22×#669682
#130822872
#130822662
#130803652
D4×#43262
#130803232
#130803192
#130802702
#130802682
#130802652
#130802562
#130801912
#130801902
#130801852
#130801792
#130801752
#130801732
#130801302
#130791082
#130783022
#130782432
#130781612
#130781442
#130779262
#130779082
#130778352
D11×#4512
#130774562
#130773422
C11×#32662
#6107611