Finite Group Databasebeta

← #15629342

Subgroups — #15629342

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×#10623310C211yesmaximal, characteristic, complemented
2C2×#10623304C211yesmaximal, characteristic, complemented
3#13082295C211yesmaximal, characteristic, complemented
4#13082287C211yesmaximal, characteristic, complemented
5#13080264C211yesmaximal, characteristic, complemented
6#13080263C211yesmaximal, characteristic, complemented
7#13080259C211yesmaximal, characteristic, complemented
8#13080256C211yesmaximal, characteristic, complemented
9#13080254C211yesmaximal, characteristic, complemented
10#13080247C211yesmaximal, characteristic, complemented
11#13080246C211yesmaximal, characteristic, complemented
12#13080184C211yesmaximal, characteristic, complemented
13#13080182C211yesmaximal, characteristic, complemented
14#13080181C211yesmaximal, characteristic, complemented
15#13080179C211yesmaximal, characteristic, complemented
16#13080139C211yesmaximal, characteristic, complemented
17#13080137C211yesmaximal, characteristic, complemented
18#13080136C211yesmaximal, characteristic, complemented
19#13080134C211yesmaximal, characteristic, complemented
20#13079106C211yesmaximal, characteristic, complemented
21#13078276C211yesmaximal, characteristic, complemented
22D11×#470C211yesmaximal, characteristic, complemented
23#13078169C211yesmaximal, characteristic, complemented
24#13078167C211yesmaximal, characteristic, complemented
25#13077929C211yesmaximal, characteristic, complemented
26#13077926C211yesmaximal, characteristic, complemented
27#13077873C211yesmaximal, characteristic, complemented
28#13077871C211yesmaximal, characteristic, complemented
29#13077494C211yesmaximal, characteristic, complemented
30#13077316C211yesmaximal, characteristic, complemented
31C11×#3275C211yesmaximal, characteristic, complemented
32C2×#67043C2211yescharacteristic, complemented
33C2×#41×D11C2211yescharacteristic
34C2×#67040C2211yescharacteristic, complemented
35C22×#4341C2211yescharacteristic
36C2×C11×#137C2211yescharacteristic, complemented
37C2×C11×AGL(1,ℤ/8)C2211yescharacteristic
38C11×#548C2211yescharacteristic
39C11×#546C2211yescharacteristic, complemented
40#10623362C2211yescharacteristic
41#10623355C2211yescharacteristic
42C2×#67004C2211yescharacteristic
43C2×#67003C2211yescharacteristic, complemented
44Q8×C22⋊D11C2211yescharacteristic, complemented
45C22×#4326C2211yescharacteristic, complemented
46#10623337C2211yescharacteristic, complemented
47C2×#66985C2211yescharacteristic
48#10623310—28no—
49#10623304—28no—
50C2×#66971C2211yescharacteristic, complemented
51C2×#66971C2211yescharacteristic, complemented
52C2×Q16×D11C2211yescharacteristic, complemented
53C2×Q16×D11C2211yescharacteristic, complemented
54C2×#66969C2211yescharacteristic
55C2×#66969C2211yescharacteristic
56C2×#66969C2211yescharacteristic, complemented
57C2×#66968C2211yescharacteristic
58C2×#66968C2211yescharacteristic
59C2×#66968C2211yescharacteristic, complemented
60C2×#66968C2211yescharacteristic, complemented
61C2×#66968C2211yescharacteristic, complemented
62C2×#66968C2211yescharacteristic, complemented
63C2×#66965C2211yescharacteristic
64C2×#66965C2211yescharacteristic
65C2×#66964C2211yescharacteristic
66C2×#66964C2211yescharacteristic
67C2×#66962C2211yescharacteristic
68C2×#66962C2211yescharacteristic, complemented
69C2×#66960C2211yescharacteristic, complemented
70C2×M16×D11C2211yescharacteristic
71#10623208C2211yescharacteristic
72#10623207—21no—
73#10623207C2211yescharacteristic, complemented
74#10623206—21no—
75#10623206C2211yescharacteristic, complemented
76#10623206C2211yescharacteristic, complemented
77#10623186—21no—
78#10623179—21no—
79#10623163C2211yescharacteristic, complemented
80#10623162—21no—
81#10623162C2211yescharacteristic
82D11×C22⋊Q8—21no—
83D11×C22⋊Q8C2211yescharacteristic
84D11×C22⋊Q8C2211yescharacteristic
85#10623143—21no—
86#10623143C2211yescharacteristic, complemented
87#10623142—21no—
88#10623139—21no—
89#10623139C2211yescharacteristic, complemented
90#10623139C2211yescharacteristic, complemented
91#10623129C2211yescharacteristic
92#10623128—21no—
93#10623122—21no—
94#10623117—21no—
95Q8×D44C2211yescharacteristic, complemented
96#10623105C2211yescharacteristic, complemented
97#10623086C2211yescharacteristic
98#10623082—21no—
99#10623082C2211yescharacteristic
100#10623078—21no—
101#10623078C2211yescharacteristic
102#10623077C2211yescharacteristic, complemented
103D4×Dic22C2211yescharacteristic, complemented
104#10623021—21no—
105C2×#66931—21no—
106C11×#495C2211yescharacteristic, complemented
107C11×#470C2211yescharacteristic, complemented
108C11×#469C2211yescharacteristic, complemented
109C11×#464C2211yescharacteristic, complemented
110C11×#463C2211yescharacteristic, complemented
111C11×#452C2211yescharacteristic
112C11×#450C2211yescharacteristic, complemented
113C11×#449C2211yescharacteristic, complemented
114C11×#448C2211yescharacteristic, complemented
115C4×C11×SD16C2211yescharacteristic, complemented
116C11×#436C2211yescharacteristic, complemented
117#10622852C2211yescharacteristic
118#10622852C2211yescharacteristic, complemented
119#10622841C2211yescharacteristic, complemented
120#10622831C2211yescharacteristic, complemented
121#10622802C2211yescharacteristic, complemented
122#10622799C2211yescharacteristic, complemented
123#10622795C2211yescharacteristic, complemented
124#10622794C2211yescharacteristic, complemented
125#10622786C2211yescharacteristic
126#10622786C2211yescharacteristic
127#10622785C2211yescharacteristic, complemented
128#10622783C2211yescharacteristic, complemented
129#10622783C2211yescharacteristic, complemented
130#10622782C2211yescharacteristic, complemented
131#10622780C2211yescharacteristic, complemented
132#10622780C2211yescharacteristic, complemented
133#10622779C2211yescharacteristic, complemented
134#10622775C2211yescharacteristic, complemented
135SD16×Dic11C2211yescharacteristic, complemented
136#10622772C2211yescharacteristic, complemented
137#10622771C2211yescharacteristic, complemented
138#10622768C2211yescharacteristic, complemented
139#10622766C2211yescharacteristic, complemented
140#10622750C2211yescharacteristic, complemented
141#10622750C2211yescharacteristic, complemented
142#10622741C2211yescharacteristic, complemented
143#10622741C2211yescharacteristic, complemented
144#10622673C2211yescharacteristic, complemented
145#10622673C2211yescharacteristic, complemented
146#10622670C2211yescharacteristic, complemented
147#10622667C2211yescharacteristic, complemented
148#10622665C2211yescharacteristic, complemented
149#10622665C2211yescharacteristic, complemented
150#10622663C2211yescharacteristic, complemented
151#10622660C2211yescharacteristic
152#10622654C2211yescharacteristic, complemented
153#10622654C2211yescharacteristic, complemented
154#10622653C2211yescharacteristic, complemented
155#10622650C2211yescharacteristic, complemented
156#10622644C2211yescharacteristic, complemented
157#10622643C2211yescharacteristic, complemented
158#10622632C2211yescharacteristic, complemented
159#10622627C2211yescharacteristic, complemented
160#10622624C2211yescharacteristic, complemented
161#10622481C2211yescharacteristic, complemented
162#10622481C2211yescharacteristic, complemented
163D11×#106C2211yescharacteristic, complemented
164#10622465C2211yescharacteristic, complemented
165#10622462C2211yescharacteristic, complemented
166#10622454C2211yescharacteristic, complemented
167#10622452C2211yescharacteristic, complemented
168#10622449C2211yescharacteristic, complemented
169#10622431C2211yescharacteristic, complemented
170#10622429C2211yescharacteristic, complemented
171#10622429C2211yescharacteristic, complemented
172#10622423C2211yescharacteristic, complemented
173#10622421C2211yescharacteristic, complemented
174#10622421C2211yescharacteristic, complemented
175#10622421C2211yescharacteristic, complemented
176#10622416C2211yescharacteristic, complemented
177D11×#103C2211yescharacteristic, complemented
178D11×#103C2211yescharacteristic, complemented
179#10622406C2211yescharacteristic, complemented
180#10622402C2211yescharacteristic, complemented
181#10622400C2211yescharacteristic, complemented
182#10622398C2211yescharacteristic, complemented
183#10622396C2211yescharacteristic
184#10622396C2211yescharacteristic
185#10622396C2211yescharacteristic, complemented
186#10622391C2211yescharacteristic, complemented
187#10622391C2211yescharacteristic, complemented
188#10622389C2211yescharacteristic, complemented
189#10622384C2211yescharacteristic, complemented
190#10622384C2211yescharacteristic, complemented
191#10622384C2211yescharacteristic, complemented
192#10622380C2211yescharacteristic, complemented
193#10622352C2211yescharacteristic, complemented
194#10622352C2211yescharacteristic, complemented
195#10622346C2211yescharacteristic
196#10622346C2211yescharacteristic, complemented
197#10622343C2211yescharacteristic, complemented
198#10622341C2211yescharacteristic, complemented
199#10622340C2211yescharacteristic, complemented
200#10622339C2211yescharacteristic
201#10622312C2211yescharacteristic, complemented
202C4×#4314C2211yescharacteristic, complemented
203#10622302C2211yescharacteristic, complemented
204#10622301C2211yescharacteristic, complemented
205C2×C11×#41C2311yescharacteristic
206C2×C11×#41C2311yescharacteristic
207C22×Q8×C11C2311yescharacteristic
208C22×D4×C11C2311yescharacteristic
209C22×C22⋊D11—21no—
210C23×Dic11—21no—
211#67043—24no—
212#67043—42no—
213#41×D11—24no—
214#41×D11—42no—
215#67040—24no—
216#67040—42no—
217C2×#4343—21no—
218C2×#4343C2311yescharacteristic
219C2×#4343C2311yescharacteristic
220C2×Q8×D11—21no—
221C2×Q8×D11C2311yescharacteristic
222C2×Q8×D11C2311yescharacteristic
223C2×Q8×D11C2311yescharacteristic
224C2×Q8×D11C2311yescharacteristic
225C2×Q8×D11C2311yescharacteristic
226C2×#4341—24no—
227C2×#4341—21no—
228C2×#4341—21no—
229C2×#4341—21no—
230C2×#4341—21no—
231C2×#4341—21no—
232C2×#4341—42no—
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×#4339—21no—
245C2×#4339C2311yescharacteristic
246C2×#4339C2311yescharacteristic
247C2×#4339C2311yescharacteristic
248C22×C4×D11—21no—
249C22×C4×D11C2311yescharacteristic
250C22×Dic22—21no—
251C22×Dic22C2311yescharacteristic
252C22×Dic22C2311yescharacteristic
253C11×#137—24no—
254C11×AGL(1,ℤ/8)—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
265C2×C11×M16C2311yescharacteristic
266C11×#124—21no—
267C11×#124C2311yescharacteristic
268C11×#124C2311yescharacteristic
269C11×#123—21no—
270C11×C22⋊Q8—21no—
271C11×C22⋊Q8C2311yescharacteristic
272C11×C22⋊Q8C2311yescharacteristic
273C11×#121—21no—
274C11×#121—21no—
275C11×#121C2311yescharacteristic
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#67004—24no—
286#67003—24no—
287#66999—21no—
288#66999C2311yescharacteristic
289#66999C2311yescharacteristic
290Q8×Dic11C2311yescharacteristic
291#66997—21no—
292#66997C2311yescharacteristic
293#66997C2311yescharacteristic
294C2×#4326—24no—
295C2×#4326C2311yescharacteristic
296C2×#4326C2311yescharacteristic
297C2×#4326C2311yescharacteristic
298C2×#4326C2311yescharacteristic
299C2×#4326C2311yescharacteristic
300C2×#4326C2311yescharacteristic
301C2×#4326C2311yescharacteristic
302C2×#4326C2311yescharacteristic
303C2×#4325C2311yescharacteristic
304#66992—21no—
305#66992—21no—
306#66992—21no—
307#66992—21no—
308#66992—21no—
309#66992D411yescharacteristic
310#66991—21no—
311#66991—21no—
312#66991—21no—
313#66991—21no—
314#66991—21no—
315#66991C2311yescharacteristic
316#66991C2311yescharacteristic
317#66990—21no—
318#66990D411yescharacteristic
319#66989—21no—
320#66989C2311yescharacteristic
321#66989C2311yescharacteristic
322#66988—21no—
323#66988—21no—
324D4×Dic11—21no—
325D4×Dic11—21no—
326D4×Dic11C2311yescharacteristic
327C2×#4324C2311yescharacteristic
328C2×#4324C2311yescharacteristic
329C2×#4324C2311yescharacteristic
330C2×#4324C2311yescharacteristic
331C2×#4324C2311yescharacteristic
332C2×#4324C2311yescharacteristic
333C2×#4324C2311yescharacteristic
334#66985—24no—
335C2×#4323C2311yescharacteristic
336C2×#4323C2311yescharacteristic
337#66983—21no—
338#66982—21no—
339C4×C22⋊D11—21no—
340C4×C22⋊D11—21no—
341C4×C22⋊D11—21no—
342C4×C22⋊D11C2311yescharacteristic
343C4×C22⋊D11C2311yescharacteristic
344C2×C4⋊Dic11—21no—
345#66977—21no—
346#66977—21no—
347#66977C2311yescharacteristic
348#66977C2311yescharacteristic
349#66977C2311yescharacteristic
350#66977C2311yescharacteristic
351C2×Dic11⋊C4—21no—
352C2×Dic11⋊C4—21no—
353C2×#4318C2311yescharacteristic
354C22×C11⋊C8C2311yescharacteristic
355#66971—24no—
356#66971—24no—
357Q16×D11—24no—
358Q16×D11—24no—
359#66969—24no—
360#66969—24no—
361#66969D418yescomplemented
362#66968—24no—
363#66968—24no—
364#66968—24no—
365#66968—24no—
366#66968—42no—
367#66968—42no—
368#66965—24no—
369#66965—24no—
370#66964—24no—
371#66964—24no—
372#66962—24no—
373#66962—24no—
374#66960—24no—
375M16×D11—24no—
376C2×Dic44C2311yescharacteristic
377C2×Dic44C2311yescharacteristic
378C2×Dic44C2311yescharacteristic
379C2×Dic44C2311yescharacteristic
380C2×Dic44C2311yescharacteristic
381C2×Dic44C2311yescharacteristic
382C2×#4314C2311yescharacteristic
383C2×#4314C2311yescharacteristic
384C2×#4314C2311yescharacteristic
385C2×#4313C2311yescharacteristic
386C2×#4313C2311yescharacteristic
387C2×#4313C2311yescharacteristic
388C2×#4313C2311yescharacteristic
389C2×#4313C2311yescharacteristic
390C2×C8×D11C2311yescharacteristic
391C2×C8×D11C2311yescharacteristic
392C2×C8×D11C2311yescharacteristic
393#66950—21no—
394#66950—21no—
395#66950C2311yescharacteristic
396#66950C2311yescharacteristic
397#66950C2311yescharacteristic
398#66950C2311yescharacteristic
399#66949—21no—
400#66949—21no—
401#66949—21no—
402#66949D411yescharacteristic
403#66947—21no—
404#66947D411yescharacteristic
405#66946—21no—
406#66946C2311yescharacteristic
407C4⋊C4×D11—21no—
408C4⋊C4×D11—21no—
409C4⋊C4×D11—21no—
410C4⋊C4×D11—21no—
411C4⋊C4×D11—21no—
412C4⋊C4×D11C2311yescharacteristic
413C4⋊C4×D11C2311yescharacteristic
414#66941—21no—
415#66941—21no—
416#66940C2311yescharacteristic
417#66939—21no—
418#66939—21no—
419#66938—21no—
420#66938—21no—
421#66937—21no—
422#66937—21no—
423#66937—21no—
424#66937—21no—
425#66937—21no—
426#66937D411yescharacteristic
427#66936—21no—
428#66936—21no—
429#66936—21no—
430#66936—21no—
431#66936—21no—
432#66936—21no—
433#66936—21no—
434#66936—21no—
435#66936—21no—
436#66936D411yescharacteristic
437#66935—21no—
438#66935D411yescharacteristic
439(C22⋊D11)⋊C4—21no—
440(C22⋊D11)⋊C4—21no—
441(C22⋊D11)⋊C4—21no—
442C22⋊C4×D11—21no—
443C22⋊C4×D11—21no—
444C22⋊C4×D11—21no—
445C22⋊C4×D11—21no—
446#66931—21no—
447#66931—21no—
448#66931—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—
461C4×D44—21no—
462C4×D44—21no—
463C4×D44C2311yescharacteristic
464C4×D44C2311yescharacteristic
465#66925—21no—
466#66925C2311yescharacteristic
467#66922—21no—
468#66922C2311yescharacteristic
469#66922C2311yescharacteristic
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
481C4×C8×C11C2311yescharacteristic
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
514#66867C2311yescharacteristic
515#61064—111nomaximal, Sylow
516C24×C11—21no—
517C23×D11—21no—
518C23×D11C2×D411yescharacteristic
519C11×#41—22no—
520C11×#41—22no—
521C11×#41—41no—
522C11×#41—41no—
523C2×Q8×C11—21no—
524C2×Q8×C11—22no—
525C2×Q8×C11—41no—
526C2×Q8×C11C2411yescharacteristic
527C2×Q8×C11C2411yescharacteristic
528C2×Q8×C11C2411yescharacteristic
529C2×D4×C11—22no—
530C2×D4×C11—21no—
531C2×D4×C11—21no—
532C2×D4×C11—21no—
533C2×D4×C11—21no—
534C2×D4×C11—21no—
535C2×D4×C11—41no—
536C2×D4×C11C2×D411yescharacteristic
537C2×D4×C11C2411yescharacteristic
538C2×D4×C11C2411yescharacteristic
539C2×D4×C11C2411yescharacteristic
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—44no—
572C22×Dic11C2×D411yescharacteristic
573#4343—22no—
574#4343—22no—
575#4343—41no—
576#4343—44no—
577#4343C2×D414yes—
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—
588Q8×D11—44no—
589#4341—22no—
590#4341—22no—
591#4341—22no—
592#4341—22no—
593#4341—22no—
594#4341—22no—
595#4341—22no—
596#4341—22no—
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#4341C2×D414yes—
606D4×D11—22no—
607D4×D11—41no—
608D4×D11—44no—
609#4339—22no—
610#4339—22no—
611#4339—22no—
612#4339—22no—
613#4339—41no—
614#4339—41no—
615#4339—44no—
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—21no—
625C2×C4×D11—22no—
626C2×C4×D11—22no—
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—21no—
636C2×C4×D11—21no—
637C2×C4×D11—21no—
638C2×C4×D11—21no—
639C2×C4×D11—44no—
640C2×C4×D11C2×D411yescharacteristic
641C2×C4×D11C2×D411yescharacteristic
642C2×C4×D11C2411yescharacteristic
643C2×C4×D11C2411yescharacteristic
644C2×C4×D11C2411yescharacteristic
645C2×Dic22—22no—
646C2×Dic22—22no—
647C2×Dic22—21no—
648C2×Dic22—21no—
649C2×Dic22—21no—
650C2×Dic22—21no—
651C2×Dic22—21no—
652C2×Dic22—21no—
653C2×Dic22—21no—
654C2×Dic22—41no—
655C2×Dic22—41no—
656C2×Dic22—44no—
657C2×Dic22C2×D411yescharacteristic
658C2×Dic22C2411yescharacteristic
659C2×Dic22C2411yescharacteristic
660C2×Dic22C2411yescharacteristic
661C2×Dic22C2411yescharacteristic
662C2×Dic22C2411yescharacteristic
663C11×Q16—22no—
664C11×Q16—22no—
665C11×SD16—22no—
666C11×SD16—22no—
667C11×SD16—41no—
668C11×SD16—41no—
669C11×SD16C2×D414yes—
670C11×D8—22no—
671C11×D8—22no—
672C11×M16—22no—
673C11×M16—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⋊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⋊C4—21no—
692C11×C22⋊C4—21no—
693C11×C22⋊C4C2×D411yescharacteristic
694C11×C22⋊C4C2×D411yescharacteristic
695C42×C11—21no—
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⋊Dic11—21no—
706C22⋊Dic11—21no—
707C22⋊Dic11—21no—
708C22⋊Dic11C2×D411yescharacteristic
709C22⋊Dic11C2×D411yescharacteristic
710#4326—22no—
711#4326—22no—
712#4326—22no—
713#4326—22no—
714#4326—22no—
715#4326—41no—
716#4326—41no—
717#4326C2×D414yes—
718#4325—22no—
719#4324—22no—
720#4324—22no—
721#4324—22no—
722#4324—22no—
723#4324—22no—
724#4324—41no—
725#4324—41no—
726#4323—22no—
727#4323C2×D414yes—
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)⋊C4C2×D411yescharacteristic
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
742C4⋊Dic11—21no—
743C4⋊Dic11—21no—
744C4⋊Dic11—21no—
745C4⋊Dic11—21no—
746C4⋊Dic11—21no—
747C4⋊Dic11—21no—
748C4⋊Dic11—21no—
749C4⋊Dic11—21no—
750C4⋊Dic11—21no—
751C4⋊Dic11C2×D411yescharacteristic
752C4⋊Dic11C2411yescharacteristic
753C4⋊Dic11C2411yescharacteristic
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⋊C4—21no—
768Dic11⋊C4C2×D411yescharacteristic
769Dic11⋊C4C2×D411yescharacteristic
770Dic11⋊C4C2×D411yescharacteristic
771Dic11⋊C4C2×D411yescharacteristic
772C4×Dic11—21no—
773C4×Dic11—21no—
774C4×Dic11—21no—
775C4×Dic11C2411yescharacteristic
776#4318—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—
787Dic44—41no—
788#4314—22no—
789#4314—22no—
790#4314C2×D414yes—
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#3275D1111yescharacteristic, complemented
811#3270—111no—
812#3270—111no—
813#3270—111no—
814#3270—111no—
815#3267—111no—
816#3267—111no—
817#3267—111no—
818#3267—111no—
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—21no—
839C22×D11—22no—
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—42no—
854Q8×C11C22×D412yes—
855D4×C11—21no—
856D4×C11—21no—
857D4×C11—21no—
858D4×C11—21no—
859D4×C11—21no—
860D4×C11—41no—
861D4×C11—42no—
862D4×C11—42no—
863D4×C11—42no—
864D4×C11—81no—
865D4×C11—81no—
866D4×C11C22×D412yes—
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—21no—
876C2×C4×C11—42no—
877C2×C4×C11—42no—
878C2×C4×C11—42no—
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—22no—
888C22⋊D11—41no—
889C22⋊D11—41no—
890C22⋊D11—42no—
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—24no—
902C2×Dic11—22no—
903C2×Dic11—21no—
904C2×Dic11—21no—
905C2×Dic11—21no—
906C2×Dic11—21no—
907C2×Dic11—21no—
908C2×Dic11—21no—
909C2×Dic11—42no—
910C2×Dic11—42no—
911C2×Dic11—42no—
912C2×Dic11—42no—
913C2×Dic11—42no—
914C2×Dic11—42no—
915C2×Dic11—42no—
916C2×Dic11—81no—
917C2×Dic11C22×D411yescharacteristic
918C2×Dic11C22×D411yescharacteristic
919C2×Dic11C22×D411yescharacteristic
920C2×Dic11C22×D411yescharacteristic
921C2×Dic11C22×D411yescharacteristic
922D44—24no—
923D44—22no—
924D44—21no—
925D44—41no—
926D44—42no—
927D44C22×D412yes—
928C4×D11—22no—
929C4×D11—21no—
930C4×D11—21no—
931C4×D11—21no—
932C4×D11—21no—
933C4×D11—22no—
934C4×D11—24no—
935C4×D11—42no—
936C4×D11—42no—
937C4×D11—42no—
938C4×D11—42no—
939C4×D11—42no—
940C4×D11—42no—
941C4×D11—42no—
942C4×D11—42no—
943C4×D11—81no—
944C4×D11—81no—
945C4×D11—81no—
946C4×D11—81no—
947C4×D11C22×D412yes—
948C4×D11H(5,𝔽2)12yes—
949Dic22—21no—
950Dic22—22no—
951Dic22—21no—
952Dic22—21no—
953Dic22—21no—
954Dic22—21no—
955Dic22—21no—
956Dic22—21no—
957Dic22—21no—
958Dic22—21no—
959Dic22—42no—
960Dic22—42no—
961Dic22—42no—
962Dic22—42no—
963Dic22—42no—
964Dic22—42no—
965Dic22—42no—
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×#137C2×D1111yescharacteristic, complemented
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×#135—111no—
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#548C2×D1111yescharacteristic
1016#547—111no—
1017#547—111no—
1018#547—111no—
1019#547—111no—
1020#547—221no—
1021#547—221no—
1022#547—221no—
1023#547—221no—
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#497—111no—
1053#495—111no—
1054#495C2×D1111yescharacteristic, complemented
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#469C2×D1111yescharacteristic, complemented
1069#465—111no—
1070#465—111no—
1071#465—111no—
1072#465—111no—
1073#464—111no—
1074#464—111no—
1075#464—111no—
1076#464C2×D1111yescharacteristic, complemented
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#461—111no—
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#452—111no—
1100#452C2×D1111yescharacteristic
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#448C2×D1111yescharacteristic, complemented
1121#442—111no—
1122#442—111no—
1123#441—111no—
1124#441—111no—
1125C4×SD16—111no—
1126C4×SD16—111no—
1127C4×SD16—111no—
1128C4×SD16C2×D1111yescharacteristic, complemented
1129#436—111no—
1130#436—111no—
1131#436—111no—
1132#436C2×D1111yescharacteristic, complemented
1133#435—111no—
1134#435—111no—
1135#435—111no—
1136#435—111no—
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—41no—
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—22no—
1173C2×D11—21no—
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—22no—
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—21no—
1195Dic11—41no—
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—111no—
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—221no—
1227C2×#41—224no—
1228C2×#41—224no—
1229C2×#41—442no—
1230C2×#41—442no—
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—221no—
1241C22×Q8—221no—
1242C22×Q8C22×D1111yescharacteristic
1243C22×D4—111no—
1244C22×D4—221no—
1245C22×D4—221no—
1246C22×D4C22×D1111yescharacteristic
1247C23×C4—111no—
1248C23×C4—221no—
1249C23×C4—221no—
1250#137—24no—
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—118no—
1267#135—224no—
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—224no—
1319C2×M16C22×D1111yescharacteristic
1320C2×M16C22×D1111yescharacteristic
1321C22×C8—111no—
1322C22×C8—111no—
1323C22×C8—111no—
1324C22×C8—111no—
1325C4⋊Q8—111no—
1326C4⋊Q8—111no—
1327C4⋊Q8—111no—
1328C4⋊Q8—111no—
1329C4⋊Q8—221no—
1330C4⋊Q8—221no—
1331C4⋊Q8—221no—
1332C4⋊Q8—221no—
1333#124—21no—
1334#124—111no—
1335#124—111no—
1336#124—221no—
1337#124—221no—
1338#124—221no—
1339#124C22×D1111yescharacteristic
1340#124C22×D1111yescharacteristic
1341#123—21no—
1342#123—111no—
1343#123—111no—
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—
1354#123—221no—
1355#123—221no—
1356#123—221no—
1357#123—221no—
1358#123—221no—
1359C22⋊Q8—21no—
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—111no—
1371C22⋊Q8—111no—
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⋊Q8—221no—
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—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#121—221no—
1412#121—221no—
1413#121—221no—
1414#121—221no—
1415#121—221no—
1416#121—221no—
1417#121C22×D1111yescharacteristic
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×Q8C22×D1111yescharacteristic
1429C4×D4—21no—
1430C4×D4—111no—
1431C4×D4—111no—
1432C4×D4—111no—
1433C4×D4—111no—
1434C4×D4—111no—
1435C4×D4—111no—
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×D4—221no—
1447C4×D4C22×D1111yescharacteristic
1448C4×D4C22×D1111yescharacteristic
1449#117—111no—
1450#117—221no—
1451#117—221no—
1452C2×C4⋊C4—111no—
1453C2×C4⋊C4—111no—
1454C2×C4⋊C4—221no—
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#97—111no—
1510C4×C8—111no—
1511C4×C8C22×D1111yescharacteristic
1512C2×C11—41no—
1513C2×C11—41no—
1514C2×C11—42no—
1515C2×C11—81no—
1516C2×C11—81no—
1517C2×C11C2×D4211yescharacteristic
1518C2×C11#358611yescharacteristic
1519C2×C11#358611yescharacteristic
1520D11—22no—
1521D11—41no—
1522D11—41no—
1523D11—42no—
1524C24—21no—
1525C24—111no—
1526C24—221no—
1527#41—22no—
1528#41—22no—
1529#41—41no—
1530#41—41no—
1531#41—114no—
1532#41—114no—
1533#41—222no—
1534#41—222no—
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—441no—
1548#41—441no—
1549#41—444no—
1550#41—444no—
1551#41—444no—
1552#41—444no—
1553#41—444no—
1554#41—444no—
1555#41—441no—
1556#41—441no—
1557#41—441no—
1558#41—444no—
1559#41—444no—
1560#41—441no—
1561#41—444no—
1562#41—444no—
1563C2×Q8—21no—
1564C2×Q8—22no—
1565C2×Q8—41no—
1566C2×Q8—111no—
1567C2×Q8—111no—
1568C2×Q8—111no—
1569C2×Q8—111no—
1570C2×Q8—111no—
1571C2×Q8—111no—
1572C2×Q8—221no—
1573C2×Q8—221no—
1574C2×Q8—221no—
1575C2×Q8—221no—
1576C2×Q8—221no—
1577C2×Q8—222no—
1578C2×Q8—222no—
1579C2×Q8—222no—
1580C2×Q8—222no—
1581C2×Q8—222no—
1582C2×Q8—222no—
1583C2×Q8—221no—
1584C2×Q8—221no—
1585C2×Q8—222no—
1586C2×Q8—222no—
1587C2×Q8—222no—
1588C2×Q8—441no—
1589C2×Q8—441no—
1590C2×Q8—444no—
1591C2×Q8—441no—
1592C2×Q8—441no—
1593C2×Q8—441no—
1594C2×Q8—444no—
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—222no—
1616C2×D4—221no—
1617C2×D4—221no—
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—111no—
1638C22×C4—111no—
1639C22×C4—111no—
1640C22×C4—111no—
1641C22×C4—111no—
1642C22×C4—111no—
1643C22×C4—221no—
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—22no—
1673Q16—114no—
1674Q16—222no—
1675Q16—222no—
1676Q16—222no—
1677Q16—222no—
1678Q16—222no—
1679Q16—222no—
1680Q16—222no—
1681Q16—222no—
1682Q16—222no—
1683Q16—441no—
1684Q16—441no—
1685Q16—441no—
1686Q16—441no—
1687SD16—22no—
1688SD16—22no—
1689SD16—41no—
1690SD16—41no—
1691SD16—114no—
1692SD16—222no—
1693SD16—222no—
1694SD16—222no—
1695SD16—222no—
1696SD16—222no—
1697SD16—222no—
1698SD16—222no—
1699SD16—222no—
1700SD16—441no—
1701SD16—441no—
1702SD16D4×D1114yes—
1703D8—22no—
1704D8—22no—
1705D8—114no—
1706D8—222no—
1707M16—22no—
1708M16—22no—
1709M16—222no—
1710M16—222no—
1711M16—222no—
1712M16—222no—
1713M16—222no—
1714M16—222no—
1715C2×C8—111no—
1716C2×C8—114no—
1717C2×C8—111no—
1718C2×C8—111no—
1719C2×C8—111no—
1720C2×C8—222no—
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—111no—
1731C4⋊C4—111no—
1732C4⋊C4—111no—
1733C4⋊C4—111no—
1734C4⋊C4—111no—
1735C4⋊C4—111no—
1736C4⋊C4—111no—
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⋊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—21no—
1772C22⋊C4—111no—
1773C22⋊C4—111no—
1774C22⋊C4—111no—
1775C22⋊C4—111no—
1776C22⋊C4—111no—
1777C22⋊C4—111no—
1778C22⋊C4—111no—
1779C22⋊C4—111no—
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—21no—
1802C42—111no—
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—42no—
1832Q8—112no—
1833Q8—222no—
1834Q8—221no—
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—
1850Q8C2×D4×D1112yes—
1851D4—21no—
1852D4—21no—
1853D4—21no—
1854D4—21no—
1855D4—21no—
1856D4—41no—
1857D4—42no—
1858D4—42no—
1859D4—42no—
1860D4—81no—
1861D4—81no—
1862D4—112no—
1863D4—222no—
1864D4—224no—
1865D4—222no—
1866D4—222no—
1867D4—224no—
1868D4—221no—
1869D4—441no—
1870D4—442no—
1871D4—441no—
1872D4—441no—
1873D4—442no—
1874D4—442no—
1875D4—442no—
1876D4—442no—
1877D4—442no—
1878D4—442no—
1879D4—442no—
1880D4—442no—
1881D4—881no—
1882D4—881no—
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—111no—
1898C2×C4—112no—
1899C2×C4—112no—
1900C2×C4—111no—
1901C2×C4—111no—
1902C2×C4—111no—
1903C2×C4—111no—
1904C2×C4—222no—
1905C2×C4—224no—
1906C2×C4—222no—
1907C2×C4—222no—
1908C2×C4—224no—
1909C2×C4—221no—
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—442no—
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—881no—
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—41no—
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—222no—
1979C22—441no—
1980C22—441no—
1981C22—882no—
1982C22—884no—
1983C22C22×D4×D1111yescharacteristic
1984C4—21no—
1985C4—21no—
1986C4—21no—
1987C4—21no—
1988C4—22no—
1989C4—41no—
1990C4—41no—
1991C4—41no—
1992C4—41no—
1993C4—112no—
1994C4—221no—
1995C4—221no—
1996C4—221no—
1997C4—221no—
1998C4—222no—
1999C4—441no—
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—81no—
2011C2—81no—
2012C2—222no—
2013C2—441no—
2014C2—441no—
2015C2—442no—
2016C2D42×D1111yescharacteristic
2017C2#1308339811yescharacteristic
2018C2#1308340011yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3275C2
socleC22×C11C23×D4
hypercenter#3275D11
hypocenterC11#61064
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3275

Complements

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

NH ≅ G/Ntype
1. C2×#10623310C2semidirect
2. C2×#10623304C2semidirect
3. #13082295C2semidirect
4. #13082287C2semidirect
5. #13080264C2semidirect
6. #13080263C2semidirect
7. #13080259C2semidirect
8. #13080256C2semidirect
9. #13080254C2semidirect
10. #13080247C2semidirect
11. #13080246C2semidirect
12. #13080184C2semidirect
13. #13080182C2semidirect
14. #13080181C2semidirect
15. #13080179C2semidirect
16. #13080139C2semidirect
17. #13080137C2semidirect
18. #13080136C2semidirect
19. #13080134C2semidirect
20. #13079106C2semidirect
21. #13078276C2semidirect
22. D11×#470C2semidirect
23. #13078169C2semidirect
24. #13078167C2semidirect
25. #13077929C2semidirect
26. #13077926C2semidirect
27. #13077873C2semidirect
28. #13077871C2semidirect
29. #13077494C2semidirect
30. #13077316C2semidirect
31. C11×#3275C2semidirect
32. C2×#67043C22semidirect
34. C2×#67040C22semidirect
36. C2×C11×#137C22semidirect
39. C11×#546C22semidirect
43. C2×#67003C22semidirect
44. Q8×C22⋊D11C22semidirect
45. C22×#4326C22semidirect
46. #10623337C22semidirect
50. C2×#66971C22semidirect
51. C2×#66971C22semidirect
52. C2×Q16×D11C22semidirect
53. C2×Q16×D11C22semidirect
56. C2×#66969C22semidirect
59. C2×#66968C22semidirect
60. C2×#66968C22semidirect
61. C2×#66968C22semidirect
62. C2×#66968C22semidirect
68. C2×#66962C22semidirect
69. C2×#66960C22semidirect
73. #10623207C22semidirect
75. #10623206C22semidirect
76. #10623206C22semidirect
79. #10623163C22semidirect
86. #10623143C22semidirect
89. #10623139C22semidirect
90. #10623139C22semidirect
95. Q8×D44C22semidirect
96. #10623105C22semidirect
102. #10623077C22semidirect
103. D4×Dic22C22semidirect
106. C11×#495C22semidirect
107. C11×#470C22semidirect
108. C11×#469C22semidirect
109. C11×#464C22semidirect
110. C11×#463C22semidirect
112. C11×#450C22semidirect
113. C11×#449C22semidirect
114. C11×#448C22semidirect
115. C4×C11×SD16C22semidirect
116. C11×#436C22semidirect
118. #10622852C22semidirect
119. #10622841C22semidirect
120. #10622831C22semidirect
121. #10622802C22semidirect
122. #10622799C22semidirect
123. #10622795C22semidirect
124. #10622794C22semidirect
127. #10622785C22semidirect
128. #10622783C22semidirect
129. #10622783C22semidirect
130. #10622782C22semidirect
131. #10622780C22semidirect
132. #10622780C22semidirect
133. #10622779C22semidirect
134. #10622775C22semidirect
135. SD16×Dic11C22semidirect
136. #10622772C22semidirect
137. #10622771C22semidirect
138. #10622768C22semidirect
139. #10622766C22semidirect
140. #10622750C22semidirect
141. #10622750C22semidirect
142. #10622741C22semidirect
143. #10622741C22semidirect
144. #10622673C22semidirect
145. #10622673C22semidirect
146. #10622670C22semidirect
147. #10622667C22semidirect
148. #10622665C22semidirect
149. #10622665C22semidirect
150. #10622663C22semidirect
152. #10622654C22semidirect
153. #10622654C22semidirect
154. #10622653C22semidirect
155. #10622650C22semidirect
156. #10622644C22semidirect
157. #10622643C22semidirect
158. #10622632C22semidirect
159. #10622627C22semidirect
160. #10622624C22semidirect
161. #10622481C22semidirect
162. #10622481C22semidirect
163. D11×#106C22semidirect
164. #10622465C22semidirect
165. #10622462C22semidirect
166. #10622454C22semidirect
167. #10622452C22semidirect
168. #10622449C22semidirect
169. #10622431C22semidirect
170. #10622429C22semidirect
171. #10622429C22semidirect
172. #10622423C22semidirect
173. #10622421C22semidirect
174. #10622421C22semidirect
175. #10622421C22semidirect
176. #10622416C22semidirect
177. D11×#103C22semidirect
178. D11×#103C22semidirect
179. #10622406C22semidirect
180. #10622402C22semidirect
181. #10622400C22semidirect
182. #10622398C22semidirect
185. #10622396C22semidirect
186. #10622391C22semidirect
187. #10622391C22semidirect
188. #10622389C22semidirect
189. #10622384C22semidirect
190. #10622384C22semidirect
191. #10622384C22semidirect
192. #10622380C22semidirect
193. #10622352C22semidirect
194. #10622352C22semidirect
196. #10622346C22semidirect
197. #10622343C22semidirect
198. #10622341C22semidirect
199. #10622340C22semidirect
201. #10622312C22semidirect
202. C4×#4314C22semidirect
203. #10622302C22semidirect
204. #10622301C22semidirect
361. #66969D4semidirect
810. #3275D11semidirect
992. C2×#137C2×D11semidirect
1031. #546C2×D11semidirect
1054. #495C2×D11semidirect
1066. #470C2×D11semidirect
1068. #469C2×D11semidirect
1076. #464C2×D11semidirect
1080. #463C2×D11semidirect
1112. #450C2×D11semidirect
1116. #449C2×D11semidirect
1120. #448C2×D11semidirect
1128. C4×SD16C2×D11semidirect
1132. #436C2×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×#106233102
C2×#106233042
#130822952
#130822872
#130802642
#130802632
#130802592
#130802562
#130802542
#130802472
#130802462
#130801842
#130801822
#130801812
#130801792
#130801392
#130801372
#130801362
#130801342
#130791062
#130782762
D11×#4702
#130781692
#130781672
#130779292
#130779262
#130778732
#130778712
#130774942
#130773162
C11×#32752
#6106411