Finite Group Databasebeta

← #15629364

Subgroups — #15629364

Order 2816.

3230 conjugacy classes of subgroups.

The subgroup lattice has 2208 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#66967C211yesmaximal, characteristic, complemented
2C2×D11×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
3#13082105C211yesmaximal, characteristic, complemented
4D42×D11C211yesmaximal, characteristic, complemented
5SD16×C22⋊D11C211yesmaximal, characteristic, complemented
6#13080305C211yesmaximal, characteristic, complemented
7#13080290C211yesmaximal, characteristic, complemented
8#13080286C211yesmaximal, characteristic, complemented
9#13080230C211yesmaximal, characteristic, complemented
10#13080229C211yesmaximal, characteristic, complemented
11#13080214C211yesmaximal, characteristic, complemented
12#13080213C211yesmaximal, characteristic, complemented
13#13080113C211yesmaximal, characteristic, complemented
14#13080112C211yesmaximal, characteristic, complemented
15#13080106C211yesmaximal, characteristic, complemented
16#13080102C211yesmaximal, characteristic, complemented
17#13080101C211yesmaximal, characteristic, complemented
18#13080095C211yesmaximal, characteristic, complemented
19#13080092C211yesmaximal, characteristic, complemented
20#13079065C211yesmaximal, characteristic, complemented
21#13078232C211yesmaximal, characteristic, complemented
22#13078230C211yesmaximal, characteristic, complemented
23#13078093C211yesmaximal, characteristic, complemented
24#13078078C211yesmaximal, characteristic, complemented
25#13077867C211yesmaximal, characteristic, complemented
26#13077865C211yesmaximal, characteristic, complemented
27#13077844C211yesmaximal, characteristic, complemented
28#13077840C211yesmaximal, characteristic, complemented
29#13077421C211yesmaximal, characteristic, complemented
30#13077349C211yesmaximal, characteristic, complemented
31C11×#3265C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic, complemented
33C22×#4343C2211yescharacteristic, complemented
34C22×D4×D11—21no—
35C22×D4×D11C2211yescharacteristic, complemented
36C22×D4×D11C2211yescharacteristic, complemented
37C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
38C22×C11×SD16C2211yescharacteristic, complemented
39C11×#548C2211yescharacteristic, complemented
40D42×C11C2211yescharacteristic, complemented
41#10623365C2211yescharacteristic, complemented
42C2×#67002C2211yescharacteristic, complemented
43Q8×C22⋊D11C2211yescharacteristic, complemented
44C22×#4325C2211yescharacteristic, complemented
45D4×C22⋊D11—21no—
46D4×C22⋊D11C2211yescharacteristic
47D4×C22⋊D11C2211yescharacteristic, complemented
48C2×#66985C2211yescharacteristic, complemented
49C22×#4323C2211yescharacteristic, complemented
50D11×AGL(1,ℤ/8)—28no—
51C2×#66967—28no—
52C2×#66967C2211yescharacteristic
53C2×#66967C2211yescharacteristic, complemented
54C2×#66967C2211yescharacteristic, complemented
55C2×#66967C2211yescharacteristic, complemented
56C2×#66967C2211yescharacteristic, complemented
57C2×#66967C2211yescharacteristic, complemented
58C2×#66967C2211yescharacteristic, complemented
59C2×#66967C2211yescharacteristic, complemented
60C2×#66967C2211yescharacteristic, complemented
61C2×#66967C2211yescharacteristic, complemented
62C2×SD16×D11C2211yescharacteristic, complemented
63C2×SD16×D11C2211yescharacteristic, complemented
64C2×#66964C2211yescharacteristic, complemented
65C2×#66964C2211yescharacteristic, complemented
66C2×#66964C2211yescharacteristic, complemented
67C2×D8×D11C2211yescharacteristic, complemented
68C2×D8×D11C2211yescharacteristic, complemented
69C2×#66961C2211yescharacteristic, complemented
70C2×M16×D11C2211yescharacteristic, complemented
71C22×D88C2211yescharacteristic, complemented
72C22×#4313C2211yescharacteristic, complemented
73#10623248C2211yescharacteristic, complemented
74D11×#127C2211yescharacteristic, complemented
75#10623207—21no—
76#10623207C2211yescharacteristic, complemented
77#10623199—21no—
78#10623199C2211yescharacteristic, complemented
79#10623162—21no—
80#10623162C2211yescharacteristic, complemented
81#10623158—21no—
82#10623158C2211yescharacteristic, complemented
83#10623140—21no—
84#10623140—21no—
85#10623140C2211yescharacteristic
86#10623140C2211yescharacteristic, complemented
87#10623140C2211yescharacteristic, complemented
88#10623137—21no—
89#10623137C2211yescharacteristic, complemented
90D11×#121—21no—
91D11×#121C2211yescharacteristic, complemented
92D11×#121C2211yescharacteristic, complemented
93#10623121—21no—
94#10623121—21no—
95D11×#120—21no—
96D11×#120—21no—
97#10623107C2211yescharacteristic, complemented
98C4×#4343C2211yescharacteristic, complemented
99#10623081—21no—
100#10623081C2211yescharacteristic, complemented
101D4×D44C2211yescharacteristic, complemented
102D4×D44C2211yescharacteristic, complemented
103C4×D4×D11—21no—
104C4×D4×D11C2211yescharacteristic
105C4×D4×D11C2211yescharacteristic, complemented
106C11×#496C2211yescharacteristic, complemented
107C11×#468C2211yescharacteristic, complemented
108C11×#466C2211yescharacteristic, complemented
109C11×#463C2211yescharacteristic, complemented
110C11×#460C2211yescharacteristic, complemented
111C11×#450C2211yescharacteristic, complemented
112C11×#449C2211yescharacteristic, complemented
113C11×#448C2211yescharacteristic, complemented
114C11×#447C2211yescharacteristic, complemented
115C11×#440C2211yescharacteristic, complemented
116C11×#435C2211yescharacteristic, complemented
117#10622851C2211yescharacteristic, complemented
118#10622840C2211yescharacteristic, complemented
119#10622831C2211yescharacteristic, complemented
120#10622830C2211yescharacteristic, complemented
121#10622788C2211yescharacteristic, complemented
122#10622788C2211yescharacteristic, complemented
123#10622785C2211yescharacteristic, complemented
124#10622785C2211yescharacteristic, complemented
125#10622784C2211yescharacteristic, complemented
126#10622783C2211yescharacteristic, complemented
127#10622782C2211yescharacteristic, complemented
128#10622782C2211yescharacteristic, complemented
129#10622776C2211yescharacteristic, complemented
130#10622776C2211yescharacteristic, complemented
131#10622775C2211yescharacteristic, complemented
132SD16×Dic11C2211yescharacteristic, complemented
133#10622772C2211yescharacteristic, complemented
134#10622769C2211yescharacteristic, complemented
135#10622769C2211yescharacteristic, complemented
136#10622769C2211yescharacteristic, complemented
137#10622764C2211yescharacteristic, complemented
138#10622764C2211yescharacteristic, complemented
139#10622763C2211yescharacteristic, complemented
140#10622748C2211yescharacteristic, complemented
141#10622741C2211yescharacteristic, complemented
142#10622727C2211yescharacteristic, complemented
143C8×C22⋊D11C2211yescharacteristic, complemented
144#10622687C2211yescharacteristic, complemented
145#10622685C2211yescharacteristic, complemented
146#10622671C2211yescharacteristic, complemented
147#10622670C2211yescharacteristic, complemented
148#10622662C2211yescharacteristic, complemented
149#10622659C2211yescharacteristic, complemented
150#10622654C2211yescharacteristic, complemented
151#10622652C2211yescharacteristic, complemented
152#10622651C2211yescharacteristic, complemented
153#10622650C2211yescharacteristic, complemented
154#10622649C2211yescharacteristic, complemented
155#10622649C2211yescharacteristic, complemented
156#10622640C2211yescharacteristic, complemented
157#10622639C2211yescharacteristic, complemented
158#10622629C2211yescharacteristic, complemented
159#10622627C2211yescharacteristic, complemented
160#10622624C2211yescharacteristic, complemented
161#10622499C2211yescharacteristic, complemented
162#10622496C2211yescharacteristic, complemented
163#10622494C2211yescharacteristic, complemented
164#10622485C2211yescharacteristic, complemented
165#10622457C2211yescharacteristic, complemented
166#10622456C2211yescharacteristic, complemented
167#10622450C2211yescharacteristic, complemented
168#10622449C2211yescharacteristic, complemented
169#10622431C2211yescharacteristic, complemented
170#10622424C2211yescharacteristic, complemented
171#10622424C2211yescharacteristic, complemented
172#10622420C2211yescharacteristic, complemented
173#10622419C2211yescharacteristic, complemented
174#10622416C2211yescharacteristic, complemented
175#10622416C2211yescharacteristic, complemented
176#10622401C2211yescharacteristic, complemented
177#10622399C2211yescharacteristic, complemented
178#10622399C2211yescharacteristic, complemented
179#10622399C2211yescharacteristic, complemented
180#10622395C2211yescharacteristic, complemented
181#10622393C2211yescharacteristic, complemented
182#10622389C2211yescharacteristic, complemented
183#10622389C2211yescharacteristic, complemented
184#10622388C2211yescharacteristic, complemented
185#10622386C2211yescharacteristic, complemented
186#10622386C2211yescharacteristic, complemented
187#10622386C2211yescharacteristic, complemented
188#10622384C2211yescharacteristic, complemented
189#10622383C2211yescharacteristic, complemented
190#10622383C2211yescharacteristic, complemented
191#10622383C2211yescharacteristic, complemented
192#10622369C2211yescharacteristic, complemented
193#10622347C2211yescharacteristic, complemented
194#10622345C2211yescharacteristic, complemented
195#10622345C2211yescharacteristic, complemented
196#10622344C2211yescharacteristic, complemented
197#10622342C2211yescharacteristic, complemented
198#10622339C2211yescharacteristic, complemented
199#10622339C2211yescharacteristic, complemented
200(C22⋊D11)⋊C8C2211yescharacteristic, complemented
201#10622325C2211yescharacteristic, complemented
202#10622324C2211yescharacteristic, complemented
203#10622320C2211yescharacteristic, complemented
204#10622319C2211yescharacteristic, complemented
205C24×D11—21no—
206C24×D11—21no—
207C2×C11×#41C2311yescharacteristic, complemented
208C22×Q8×C11C2311yescharacteristic, complemented
209C22×D4×C11—21no—
210C22×D4×C11C2311yescharacteristic
211C22×D4×C11C2311yescharacteristic
212C22×C22⋊D11—21no—
213C22×C22⋊D11—21no—
214C22×C22⋊D11—21no—
215C22×C22⋊D11—21no—
216#41×D11—24no—
217#41×D11—42no—
218C2×#4343—21no—
219C2×#4343—21no—
220C2×#4343—24no—
221C2×#4343—42no—
222C2×#4343C2311yescharacteristic
223C2×#4343C2311yescharacteristic
224C2×#4343C2311yescharacteristic, complemented
225C2×#4343C2311yescharacteristic, complemented
226C2×Q8×D11C2311yescharacteristic, complemented
227C2×#4341—21no—
228C2×#4341C2311yescharacteristic
229C2×D4×D11—24no—
230C2×D4×D11—24no—
231C2×D4×D11—21no—
232C2×D4×D11—21no—
233C2×D4×D11—21no—
234C2×D4×D11—21no—
235C2×D4×D11—21no—
236C2×D4×D11—21no—
237C2×D4×D11—21no—
238C2×D4×D11—21no—
239C2×D4×D11—21no—
240C2×D4×D11—21no—
241C2×D4×D11—21no—
242C2×D4×D11—21no—
243C2×D4×D11—21no—
244C2×D4×D11—21no—
245C2×D4×D11—42no—
246C2×D4×D11—42no—
247C2×D4×D11—48no—
248C2×D4×D11D411yescharacteristic
249C2×D4×D11C2311yescharacteristic
250C2×D4×D11C2311yescharacteristic
251C2×D4×D11C2311yescharacteristic
252C2×D4×D11C2311yescharacteristic
253C2×D4×D11C2311yescharacteristic
254C2×D4×D11C2311yescharacteristic
255C2×D4×D11C2311yescharacteristic
256C2×D4×D11C2311yescharacteristic, complemented
257C2×#4339—21no—
258C2×#4339C2311yescharacteristic, complemented
259C22×D44—21no—
260C22×D44—21no—
261C22×D44C2311yescharacteristic
262C22×D44C2311yescharacteristic
263C22×D44C2311yescharacteristic, complemented
264C22×C4×D11—21no—
265C22×C4×D11—21no—
266C22×C4×D11—21no—
267C22×C4×D11C2311yescharacteristic
268C22×C4×D11C2311yescharacteristic
269C11×AGL(1,ℤ/8)—24no—
270C2×C11×SD16—24no—
271C2×C11×SD16C2311yescharacteristic
272C2×C11×SD16C2311yescharacteristic
273C2×C11×SD16C2311yescharacteristic, complemented
274C2×C11×SD16C2311yescharacteristic, complemented
275C2×C11×SD16C2311yescharacteristic, complemented
276C2×C11×SD16C2311yescharacteristic, complemented
277C2×C11×D8C2311yescharacteristic
278C2×C11×D8C2311yescharacteristic, complemented
279C2×C11×D8C2311yescharacteristic, complemented
280C2×C11×M16C2311yescharacteristic, complemented
281C22×C8×C11C2311yescharacteristic, complemented
282C11×#127C2311yescharacteristic
283C11×#124—21no—
284C11×#124C2311yescharacteristic, complemented
285C11×C22⋊Q8—21no—
286C11×C22⋊Q8C2311yescharacteristic, complemented
287C11×#121—21no—
288C11×#121—21no—
289C11×#121C2311yescharacteristic
290C11×#121C2311yescharacteristic
291C11×#121C2311yescharacteristic, complemented
292C11×#120—21no—
293C11×#120—21no—
294C4×Q8×C11C2311yescharacteristic, complemented
295C4×D4×C11—21no—
296C4×D4×C11C2311yescharacteristic
297C4×D4×C11C2311yescharacteristic
298#67006—21no—
299#67006—21no—
300#67002—24no—
301#66999—21no—
302#66999C2311yescharacteristic, complemented
303Q8×Dic11C2311yescharacteristic, complemented
304#66997—21no—
305#66997C2311yescharacteristic, complemented
306C2×#4325—24no—
307C2×#4325C2311yescharacteristic
308C2×#4325C2311yescharacteristic
309C2×#4325C2311yescharacteristic, complemented
310C2×#4325C2311yescharacteristic, complemented
311C2×#4325C2311yescharacteristic, complemented
312C2×#4325C2311yescharacteristic, complemented
313#66993—21no—
314#66993—21no—
315#66993—21no—
316#66993C2311yescharacteristic
317#66993C2311yescharacteristic
318#66993C2311yescharacteristic, complemented
319#66992—21no—
320#66992—21no—
321#66992—21no—
322#66992—21no—
323#66991—21no—
324#66991—21no—
325#66991C2311yescharacteristic
326#66991C2311yescharacteristic
327#66991C2311yescharacteristic, complemented
328#66990—21no—
329#66990—21no—
330#66990—21no—
331#66990—21no—
332#66990—21no—
333#66990—21no—
334#66990—21no—
335#66990—21no—
336#66990—21no—
337D4×Dic11—21no—
338D4×Dic11D411yescharacteristic
339D4×Dic11C2311yescharacteristic
340C2×#4324C2311yescharacteristic
341C2×#4324C2311yescharacteristic, complemented
342C2×#4324C2311yescharacteristic, complemented
343#66985—24no—
344C2×#4323—24no—
345C2×#4323C2311yescharacteristic
346C2×#4323C2311yescharacteristic
347C2×#4323C2311yescharacteristic
348C2×#4323C2311yescharacteristic, complemented
349C2×#4323C2311yescharacteristic, complemented
350C2×#4323C2311yescharacteristic, complemented
351C2×#4323C2311yescharacteristic, complemented
352C2×#4323C2311yescharacteristic, complemented
353C2×#4323C2311yescharacteristic, complemented
354#66983—21no—
355#66983—21no—
356#66983C2311yescharacteristic
357#66983C2311yescharacteristic
358#66983C2311yescharacteristic, complemented
359C4×C22⋊D11—21no—
360C4×C22⋊D11—21no—
361C4×C22⋊D11—21no—
362C4×C22⋊D11C2311yescharacteristic
363C4×C22⋊D11C2311yescharacteristic
364#66977—21no—
365#66977C2311yescharacteristic, complemented
366C2×#4318C2311yescharacteristic, complemented
367C22×C11⋊C8C2311yescharacteristic, complemented
368#66967—24no—
369#66967—24no—
370#66967—24no—
371#66967—24no—
372#66967—24no—
373#66967—24no—
374#66967—24no—
375#66967—24no—
376#66967—42no—
377#66967D418yescomplemented
378SD16×D11—24no—
379SD16×D11—24no—
380#66964—24no—
381#66964—24no—
382#66964—42no—
383D8×D11—24no—
384D8×D11—24no—
385#66961—24no—
386M16×D11—24no—
387C2×D88—24no—
388C2×D88C2311yescharacteristic
389C2×D88C2311yescharacteristic
390C2×D88C2311yescharacteristic, complemented
391C2×D88C2311yescharacteristic, complemented
392C2×D88C2311yescharacteristic, complemented
393C2×D88C2311yescharacteristic, complemented
394C2×#4314C2311yescharacteristic
395C2×#4314C2311yescharacteristic, complemented
396C2×#4314C2311yescharacteristic, complemented
397C2×#4313—24no—
398C2×#4313C2311yescharacteristic
399C2×#4313C2311yescharacteristic
400C2×#4313C2311yescharacteristic
401C2×#4313C2311yescharacteristic
402C2×#4313C2311yescharacteristic, complemented
403C2×#4313C2311yescharacteristic, complemented
404C2×C8×D11C2311yescharacteristic, complemented
405C2×C8×D11C2311yescharacteristic, complemented
406#66950—21no—
407#66950C2311yescharacteristic, complemented
408#66948—21no—
409#66948—21no—
410#66948C2311yescharacteristic
411#66948C2311yescharacteristic
412#66948C2311yescharacteristic, complemented
413#66947—21no—
414#66947—21no—
415#66947—21no—
416#66946—21no—
417#66946—21no—
418#66946D411yescharacteristic
419#66946C2311yescharacteristic
420#66946C2311yescharacteristic, complemented
421#66945—21no—
422#66945C2311yescharacteristic
423C4⋊C4×D11—21no—
424C4⋊C4×D11D411yescharacteristic
425C4⋊C4×D11C2311yescharacteristic
426#66937—21no—
427#66937—21no—
428#66937—21no—
429#66937—21no—
430#66937—21no—
431#66937—21no—
432#66937—21no—
433#66937—21no—
434#66937—21no—
435#66937—21no—
436#66936—21no—
437#66936—21no—
438#66936—21no—
439#66935—21no—
440#66935—21no—
441#66935—21no—
442#66935—21no—
443#66935—21no—
444#66935—21no—
445#66935—21no—
446#66935—21no—
447#66935—21no—
448(C22⋊D11)⋊C4—21no—
449(C22⋊D11)⋊C4—21no—
450(C22⋊D11)⋊C4—21no—
451(C22⋊D11)⋊C4—21no—
452(C22⋊D11)⋊C4—21no—
453(C22⋊D11)⋊C4D411yescharacteristic
454(C22⋊D11)⋊C4D411yescharacteristic
455C22⋊C4×D11—21no—
456C22⋊C4×D11—21no—
457C22⋊C4×D11—21no—
458C22⋊C4×D11—21no—
459C22⋊C4×D11—21no—
460C22⋊C4×D11D411yescharacteristic
461C22⋊C4×D11D411yescharacteristic
462#66928—21no—
463#66928C2311yescharacteristic, complemented
464#66927C2311yescharacteristic
465C4×D44—21no—
466C4×D44—21no—
467C4×D44C2311yescharacteristic
468C4×D44C2311yescharacteristic
469C4×D44C2311yescharacteristic, complemented
470C42×D11—21no—
471C42×D11C2311yescharacteristic
472C11×#107C2311yescharacteristic, complemented
473C11×C4⋊C8C2311yescharacteristic, complemented
474C11×#103C2311yescharacteristic, complemented
475C11×#103C2311yescharacteristic, complemented
476C11×#102C2311yescharacteristic
477C11×#102C2311yescharacteristic, complemented
478C11×#102C2311yescharacteristic, complemented
479C11×#102C2311yescharacteristic, complemented
480C11×C22⋊C8C2311yescharacteristic, complemented
481C11×C22⋊C8C2311yescharacteristic, complemented
482C11×#97C2311yescharacteristic, complemented
483#66899C2311yescharacteristic, complemented
484#66899C2311yescharacteristic, complemented
485#66896C2311yescharacteristic
486#66896C2311yescharacteristic, complemented
487#66896C2311yescharacteristic, complemented
488#66896C2311yescharacteristic, complemented
489C22⋊(C11⋊C8)C2311yescharacteristic, complemented
490C22⋊(C11⋊C8)C2311yescharacteristic, complemented
491#66885C2311yescharacteristic
492#66885C2311yescharacteristic, complemented
493#66885C2311yescharacteristic, complemented
494#66885C2311yescharacteristic, complemented
495#66885C2311yescharacteristic, complemented
496(C2×D11)⋊C8C2311yescharacteristic, complemented
497(C2×D11)⋊C8C2311yescharacteristic, complemented
498(C2×D11)⋊C8C2311yescharacteristic, complemented
499(C2×D11)⋊C8C2311yescharacteristic, complemented
500#66881C2311yescharacteristic, complemented
501#66880C2311yescharacteristic, complemented
502Dic11⋊C8C2311yescharacteristic, complemented
503Dic11⋊C8C2311yescharacteristic, complemented
504C8×Dic11C2311yescharacteristic, complemented
505C8×Dic11C2311yescharacteristic, complemented
506#66874C2311yescharacteristic, complemented
507#66873C2311yescharacteristic
508#66873C2311yescharacteristic, complemented
509#66873C2311yescharacteristic, complemented
510#66873C2311yescharacteristic, complemented
511#66873C2311yescharacteristic, complemented
512#66872C2311yescharacteristic, complemented
513#66871C2311yescharacteristic, complemented
514C4⋊(C11⋊C8)C2311yescharacteristic, complemented
515#66867C2311yescharacteristic, complemented
516D4×AGL(1,ℤ/8)—111nomaximal, Sylow
517C24×C11—21no—
518C24×C11—21no—
519C23×D11—21no—
520C23×D11—21no—
521C23×D11—21no—
522C23×D11—21no—
523C23×D11—21no—
524C23×D11—21no—
525C23×D11—21no—
526C23×D11—21no—
527C23×D11—21no—
528C23×D11—21no—
529C23×D11—21no—
530C23×D11—44no—
531C23×D11—44no—
532C23×D11—44no—
533C23×D11—44no—
534C23×D11—82no—
535C23×D11—82no—
536C23×D11C2×D411yescharacteristic
537C23×D11C2×D411yescharacteristic
538C11×#41—22no—
539C11×#41—41no—
540C2×Q8×C11—21no—
541C2×Q8×C11—22no—
542C2×Q8×C11—41no—
543C2×Q8×C11C2411yescharacteristic
544C2×Q8×C11C2411yescharacteristic
545C2×D4×C11—22no—
546C2×D4×C11—22no—
547C2×D4×C11—21no—
548C2×D4×C11—21no—
549C2×D4×C11—21no—
550C2×D4×C11—21no—
551C2×D4×C11—21no—
552C2×D4×C11—21no—
553C2×D4×C11—21no—
554C2×D4×C11—21no—
555C2×D4×C11—41no—
556C2×D4×C11—41no—
557C2×D4×C11—44no—
558C2×D4×C11C2×D411yescharacteristic
559C2×D4×C11C2411yescharacteristic
560C2×D4×C11C2411yescharacteristic
561C2×D4×C11C2411yescharacteristic
562C2×D4×C11C2411yescharacteristic
563C22×C4×C11—21no—
564C22×C4×C11—21no—
565C22×C4×C11—21no—
566C22×C4×C11C2411yescharacteristic
567C22×C4×C11C2411yescharacteristic
568C2×C22⋊D11—21no—
569C2×C22⋊D11—21no—
570C2×C22⋊D11—21no—
571C2×C22⋊D11—21no—
572C2×C22⋊D11—21no—
573C2×C22⋊D11—21no—
574C2×C22⋊D11—21no—
575C2×C22⋊D11—21no—
576C2×C22⋊D11—21no—
577C2×C22⋊D11—21no—
578C2×C22⋊D11—21no—
579C2×C22⋊D11—21no—
580C2×C22⋊D11—21no—
581C2×C22⋊D11—21no—
582C2×C22⋊D11—21no—
583C2×C22⋊D11—21no—
584C2×C22⋊D11—21no—
585C2×C22⋊D11—21no—
586C2×C22⋊D11—21no—
587C2×C22⋊D11—21no—
588C2×C22⋊D11—21no—
589C2×C22⋊D11—21no—
590C2×C22⋊D11—44no—
591C2×C22⋊D11—44no—
592C2×C22⋊D11—44no—
593C2×C22⋊D11—44no—
594C2×C22⋊D11C2×D411yescharacteristic
595C2×C22⋊D11C2×D411yescharacteristic
596C22×Dic11—21no—
597C22×Dic11—21no—
598C22×Dic11C2×D411yescharacteristic
599C22×Dic11C2×D411yescharacteristic
600#4343—22no—
601#4343—22no—
602#4343—22no—
603#4343—22no—
604#4343—22no—
605#4343—41no—
606#4343—41no—
607#4343—44no—
608#4343—44no—
609#4343C2×D414yescomplemented
610Q8×D11—22no—
611Q8×D11—41no—
612#4341—22no—
613#4341—22no—
614#4341—44no—
615D4×D11—24no—
616D4×D11—22no—
617D4×D11—22no—
618D4×D11—22no—
619D4×D11—22no—
620D4×D11—22no—
621D4×D11—22no—
622D4×D11—22no—
623D4×D11—22no—
624D4×D11—22no—
625D4×D11—22no—
626D4×D11—41no—
627D4×D11—41no—
628D4×D11—41no—
629D4×D11—41no—
630D4×D11—41no—
631D4×D11—44no—
632D4×D11—44no—
633D4×D11—44no—
634D4×D11—44no—
635D4×D11—44no—
636D4×D11—44no—
637D4×D11—44no—
638D4×D11—44no—
639D4×D11—44no—
640D4×D11—44no—
641D4×D11—44no—
642D4×D11—44no—
643D4×D11—44no—
644D4×D11—82no—
645D4×D11C2×D414yescomplemented
646#4339—22no—
647#4339—41no—
648#4339—44no—
649C2×D44—21no—
650C2×D44—21no—
651C2×D44—21no—
652C2×D44—21no—
653C2×D44—21no—
654C2×D44—21no—
655C2×D44—21no—
656C2×D44—22no—
657C2×D44—22no—
658C2×D44—22no—
659C2×D44—21no—
660C2×D44—21no—
661C2×D44—21no—
662C2×D44—21no—
663C2×D44—21no—
664C2×D44—41no—
665C2×D44—41no—
666C2×D44—41no—
667C2×D44—44no—
668C2×D44—44no—
669C2×D44C2×D411yescharacteristic
670C2×D44C2411yescharacteristic
671C2×D44C2411yescharacteristic
672C2×D44C2411yescharacteristic
673C2×D44C2411yescharacteristic
674C2×D44C2411yescharacteristic
675C2×C4×D11—21no—
676C2×C4×D11—22no—
677C2×C4×D11—22no—
678C2×C4×D11—22no—
679C2×C4×D11—22no—
680C2×C4×D11—21no—
681C2×C4×D11—21no—
682C2×C4×D11—21no—
683C2×C4×D11—21no—
684C2×C4×D11—21no—
685C2×C4×D11—21no—
686C2×C4×D11—21no—
687C2×C4×D11—21no—
688C2×C4×D11—21no—
689C2×C4×D11—21no—
690C2×C4×D11—44no—
691C2×C4×D11—44no—
692C2×C4×D11—44no—
693C2×C4×D11C2×D411yescharacteristic
694C2×C4×D11C2×D411yescharacteristic
695C2×C4×D11C2×D411yescharacteristic
696C2×C4×D11C2×D411yescharacteristic
697C2×C4×D11C2×D411yescharacteristic
698C2×C4×D11C2×D411yescharacteristic
699C2×C4×D11C2411yescharacteristic
700C2×C4×D11C2411yescharacteristic
701C2×C4×D11C2411yescharacteristic
702C2×Dic22—21no—
703C2×Dic22C2411yescharacteristic
704C11×SD16—22no—
705C11×SD16—22no—
706C11×SD16—22no—
707C11×SD16—22no—
708C11×SD16—41no—
709C11×SD16C2×D414yescomplemented
710C11×D8—22no—
711C11×D8—22no—
712C11×D8—41no—
713C11×M16—22no—
714C2×C8×C11—22no—
715C2×C8×C11C2411yescharacteristic
716C2×C8×C11C2411yescharacteristic
717C2×C8×C11C2411yescharacteristic
718C2×C8×C11C2411yescharacteristic
719C11×C4⋊C4—21no—
720C11×C4⋊C4—21no—
721C11×C4⋊C4C2×D411yescharacteristic
722C11×C4⋊C4C2411yescharacteristic
723C11×C4⋊C4C2411yescharacteristic
724C11×C22⋊C4—21no—
725C11×C22⋊C4—21no—
726C11×C22⋊C4—21no—
727C11×C22⋊C4—21no—
728C11×C22⋊C4—21no—
729C11×C22⋊C4—21no—
730C11×C22⋊C4—21no—
731C11×C22⋊C4C2×D411yescharacteristic
732C11×C22⋊C4C2×D411yescharacteristic
733C42×C11—21no—
734C42×C11C2411yescharacteristic
735C22⋊Dic11—21no—
736C22⋊Dic11—21no—
737C22⋊Dic11—21no—
738C22⋊Dic11—21no—
739C22⋊Dic11—21no—
740C22⋊Dic11C2×D411yescharacteristic
741C22⋊Dic11C2×D411yescharacteristic
742#4325—22no—
743#4325—22no—
744#4325—22no—
745#4325—22no—
746#4325—41no—
747#4325C2×D414yescomplemented
748#4324—22no—
749#4324—22no—
750#4324—41no—
751#4323—22no—
752#4323—22no—
753#4323—22no—
754#4323—22no—
755#4323—22no—
756#4323—22no—
757#4323—41no—
758#4323—41no—
759#4323C2×D414yescomplemented
760(C2×D11)⋊C4—21no—
761(C2×D11)⋊C4—21no—
762(C2×D11)⋊C4—21no—
763(C2×D11)⋊C4—21no—
764(C2×D11)⋊C4—21no—
765(C2×D11)⋊C4—21no—
766(C2×D11)⋊C4—21no—
767(C2×D11)⋊C4—21no—
768(C2×D11)⋊C4—21no—
769(C2×D11)⋊C4—21no—
770(C2×D11)⋊C4—21no—
771(C2×D11)⋊C4—21no—
772(C2×D11)⋊C4—21no—
773(C2×D11)⋊C4—21no—
774(C2×D11)⋊C4—21no—
775(C2×D11)⋊C4C2×D411yescharacteristic
776(C2×D11)⋊C4C2×D411yescharacteristic
777(C2×D11)⋊C4C2×D411yescharacteristic
778(C2×D11)⋊C4C2×D411yescharacteristic
779C4⋊Dic11—21no—
780C4⋊Dic11—21no—
781C4⋊Dic11C2×D411yescharacteristic
782C4⋊Dic11C2411yescharacteristic
783C4⋊Dic11C2411yescharacteristic
784Dic11⋊C4—21no—
785Dic11⋊C4—21no—
786Dic11⋊C4—21no—
787Dic11⋊C4—21no—
788Dic11⋊C4—21no—
789Dic11⋊C4C2×D411yescharacteristic
790Dic11⋊C4C2×D411yescharacteristic
791C4×Dic11—21no—
792C4×Dic11—21no—
793C4×Dic11C2×D411yescharacteristic
794C4×Dic11C2×D411yescharacteristic
795C4×Dic11C2411yescharacteristic
796#4318—22no—
797C2×C11⋊C8—22no—
798C2×C11⋊C8C2411yescharacteristic
799C2×C11⋊C8C2411yescharacteristic
800C2×C11⋊C8C2411yescharacteristic
801C2×C11⋊C8C2411yescharacteristic
802D88—22no—
803D88—22no—
804D88—22no—
805D88—22no—
806D88—41no—
807D88C2×D414yescomplemented
808#4314—22no—
809#4314—22no—
810#4314—41no—
811#4313—22no—
812#4313—22no—
813#4313—22no—
814#4313—22no—
815#4313—22no—
816#4313C2×D414yescomplemented
817C8×D11—22no—
818C8×D11—22no—
819C22×AGL(1,ℤ/8)—111no—
820C22×AGL(1,ℤ/8)—111no—
821D4×#41—111no—
822C2×D42—111no—
823D4×SD16—111no—
824D4×SD16—111no—
825D4×D8—111no—
826D4×D8—111no—
827#3274—111no—
828#3274—111no—
829#3272—111no—
830#3272—111no—
831#3265—111no—
832#3265—111no—
833#3265—111no—
834#3265D1111yescharacteristic, complemented
835#3264—111no—
836#3264—111no—
837#3264—111no—
838#3264—111no—
839#3151—111no—
840#3055—111no—
841#3055—111no—
842#3038—111no—
843#3036—111no—
844#3006—111no—
845#3006—111no—
846#3003—111no—
847#3003—111no—
848C4×AGL(1,ℤ/8)—111no—
849D4×M16—111no—
850C23×C11—21no—
851C23×C11—21no—
852C23×C11—21no—
853C23×C11—21no—
854C23×C11—42no—
855C23×C11—42no—
856C23×C11—42no—
857C23×C11—42no—
858C23×C11—81no—
859C23×C11—81no—
860C23×C11C22×D411yescharacteristic
861C23×C11C22×D411yescharacteristic
862C22×D11—22no—
863C22×D11—21no—
864C22×D11—21no—
865C22×D11—22no—
866C22×D11—22no—
867C22×D11—24no—
868C22×D11—22no—
869C22×D11—21no—
870C22×D11—21no—
871C22×D11—21no—
872C22×D11—41no—
873C22×D11—41no—
874C22×D11—42no—
875C22×D11—42no—
876C22×D11—42no—
877C22×D11—42no—
878C22×D11—42no—
879C22×D11—42no—
880C22×D11—42no—
881C22×D11—42no—
882C22×D11—42no—
883C22×D11—42no—
884C22×D11—42no—
885C22×D11—42no—
886C22×D11—42no—
887C22×D11—42no—
888C22×D11—42no—
889C22×D11—42no—
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—
900C22×D11—81no—
901C22×D11—81no—
902C22×D11—81no—
903C22×D11—81no—
904C22×D11—81no—
905C22×D11—81no—
906C22×D11—816no—
907C22×D11—816no—
908C22×D11C22×D411yescharacteristic
909C22×D11C22×D411yescharacteristic
910C22×D11C22×D411yescharacteristic
911Q8×C11—21no—
912Q8×C11—21no—
913Q8×C11—21no—
914Q8×C11—42no—
915Q8×C11C22×D412yescomplemented
916D4×C11—22no—
917D4×C11—21no—
918D4×C11—21no—
919D4×C11—21no—
920D4×C11—21no—
921D4×C11—21no—
922D4×C11—21no—
923D4×C11—21no—
924D4×C11—42no—
925D4×C11—42no—
926D4×C11—42no—
927D4×C11—42no—
928D4×C11—42no—
929D4×C11—42no—
930D4×C11—42no—
931D4×C11—81no—
932D4×C11C22×D412yes—
933C2×C4×C11—21no—
934C2×C4×C11—21no—
935C2×C4×C11—21no—
936C2×C4×C11—21no—
937C2×C4×C11—21no—
938C2×C4×C11—21no—
939C2×C4×C11—21no—
940C2×C4×C11—21no—
941C2×C4×C11—42no—
942C2×C4×C11—42no—
943C2×C4×C11—42no—
944C2×C4×C11C22×D411yescharacteristic
945C2×C4×C11C22×D411yescharacteristic
946C2×C4×C11C22×D411yescharacteristic
947C2×C4×C11C22×D411yescharacteristic
948C2×C4×C11C2511yescharacteristic
949C22⋊D11—24no—
950C22⋊D11—22no—
951C22⋊D11—42no—
952C22⋊D11—42no—
953C22⋊D11—42no—
954C22⋊D11—42no—
955C22⋊D11—42no—
956C22⋊D11—42no—
957C22⋊D11—42no—
958C22⋊D11—42no—
959C22⋊D11—42no—
960C22⋊D11—42no—
961C22⋊D11—42no—
962C22⋊D11—42no—
963C22⋊D11—42no—
964C22⋊D11—42no—
965C22⋊D11—42no—
966C22⋊D11—42no—
967C22⋊D11—81no—
968C22⋊D11—81no—
969C22⋊D11—81no—
970C22⋊D11—81no—
971C22⋊D11—81no—
972C22⋊D11AGL(1,ℤ/8)14yescomplemented
973C2×Dic11—22no—
974C2×Dic11—22no—
975C2×Dic11—21no—
976C2×Dic11—21no—
977C2×Dic11—21no—
978C2×Dic11—42no—
979C2×Dic11—42no—
980C2×Dic11C22×D411yescharacteristic
981C2×Dic11C22×D411yescharacteristic
982C2×Dic11C22×D411yescharacteristic
983C2×Dic11C22×D411yescharacteristic
984C2×Dic11C22×D411yescharacteristic
985D44—24no—
986D44—22no—
987D44—21no—
988D44—21no—
989D44—21no—
990D44—21no—
991D44—21no—
992D44—21no—
993D44—21no—
994D44—21no—
995D44—42no—
996D44—42no—
997D44—42no—
998D44—42no—
999D44—42no—
1000D44—42no—
1001D44—42no—
1002D44—42no—
1003D44—42no—
1004D44—42no—
1005D44—81no—
1006D44C22×D412yes—
1007D44C22×D412yescomplemented
1008C4×D11—22no—
1009C4×D11—22no—
1010C4×D11—21no—
1011C4×D11—21no—
1012C4×D11—21no—
1013C4×D11—21no—
1014C4×D11—22no—
1015C4×D11—22no—
1016C4×D11—24no—
1017C4×D11—22no—
1018C4×D11—41no—
1019C4×D11—42no—
1020C4×D11—42no—
1021C4×D11—42no—
1022C4×D11—42no—
1023C4×D11—42no—
1024C4×D11—42no—
1025C4×D11—42no—
1026C4×D11—42no—
1027C4×D11—42no—
1028C4×D11—81no—
1029C4×D11C22×D412yes—
1030C4×D11H(5,𝔽2)12yes—
1031Dic22—21no—
1032Dic22—21no—
1033Dic22—42no—
1034C8×C11—21no—
1035C8×C11—21no—
1036C8×C11—21no—
1037C8×C11C22×D412yescomplemented
1038C11⋊C8—21no—
1039C11⋊C8—21no—
1040C11⋊C8—21no—
1041C11⋊C8C22×D412yescomplemented
1042C22×#41—111no—
1043C22×#41—111no—
1044C23×D4—111no—
1045C23×D4—111no—
1046C23×D4—221no—
1047C2×AGL(1,ℤ/8)—111no—
1048C2×AGL(1,ℤ/8)—111no—
1049C2×AGL(1,ℤ/8)—111no—
1050C2×AGL(1,ℤ/8)—111no—
1051C2×AGL(1,ℤ/8)—111no—
1052C2×AGL(1,ℤ/8)—111no—
1053C2×AGL(1,ℤ/8)—111no—
1054C2×AGL(1,ℤ/8)—111no—
1055C2×AGL(1,ℤ/8)—111no—
1056C2×AGL(1,ℤ/8)—111no—
1057C2×AGL(1,ℤ/8)—111no—
1058C2×AGL(1,ℤ/8)—111no—
1059C2×AGL(1,ℤ/8)—111no—
1060C2×AGL(1,ℤ/8)—111no—
1061C2×AGL(1,ℤ/8)—111no—
1062C2×AGL(1,ℤ/8)—111no—
1063C2×AGL(1,ℤ/8)—228no—
1064C2×AGL(1,ℤ/8)—228no—
1065C2×AGL(1,ℤ/8)C2×D1111yescharacteristic, complemented
1066C22×SD16—111no—
1067C22×SD16—111no—
1068C22×SD16—111no—
1069C22×SD16C2×D1111yescharacteristic, complemented
1070C22×D8—111no—
1071C22×D8—111no—
1072C22×D8—111no—
1073C22×D8—111no—
1074C22×M16—111no—
1075C22×M16—111no—
1076#550—111no—
1077D4×Q8—111no—
1078#548—111no—
1079#548C2×D1111yescharacteristic, complemented
1080#547—111no—
1081#547—221no—
1082#546—111no—
1083#546—111no—
1084#546—221no—
1085#546—221no—
1086D42—111no—
1087D42—111no—
1088D42—111no—
1089D42—111no—
1090D42—111no—
1091D42—111no—
1092D42—111no—
1093D42—111no—
1094D42—221no—
1095D42—221no—
1096D42—221no—
1097D42—221no—
1098D42—221no—
1099D42C2×D1111yescharacteristic, complemented
1100#532—111no—
1101#532—221no—
1102C2×#127—111no—
1103#525—111no—
1104#525—111no—
1105#525—221no—
1106#525—221no—
1107C2×#121—111no—
1108C2×#121—111no—
1109C2×#121—221no—
1110C2×#120—221no—
1111C2×#120—221no—
1112C4×#41—111no—
1113C2×C4×D4—111no—
1114C2×C4×D4—111no—
1115C2×C4×D4—221no—
1116#496—111no—
1117#496—111no—
1118#496—111no—
1119#496C2×D1111yescharacteristic, complemented
1120#493—111no—
1121#493—111no—
1122#492—111no—
1123#492—111no—
1124#469—111no—
1125#469—111no—
1126#469—111no—
1127#469—111no—
1128#468—111no—
1129#468—111no—
1130#468—111no—
1131#468C2×D1111yescharacteristic, complemented
1132#466—111no—
1133#466—111no—
1134#466—111no—
1135#466C2×D1111yescharacteristic, complemented
1136#465—111no—
1137#465—111no—
1138#465—111no—
1139#465—111no—
1140#463—111no—
1141#463—111no—
1142#463—111no—
1143#463C2×D1111yescharacteristic, complemented
1144#461—111no—
1145#461—111no—
1146#460—111no—
1147#460—111no—
1148#460—111no—
1149#460C2×D1111yescharacteristic, complemented
1150#459—111no—
1151#459—111no—
1152#459—111no—
1153#459—111no—
1154#459—111no—
1155#459—111no—
1156#450—111no—
1157#450—111no—
1158#450—111no—
1159#450—111no—
1160#450—111no—
1161#450—111no—
1162#450—111no—
1163#450C2×D1111yescharacteristic, complemented
1164#449—111no—
1165#449—111no—
1166#449—111no—
1167#449—111no—
1168#449—111no—
1169#449—111no—
1170#449—111no—
1171#449C2×D1111yescharacteristic, complemented
1172#448—111no—
1173#448—111no—
1174#448—111no—
1175#448C2×D1111yescharacteristic, complemented
1176#447—111no—
1177#447—111no—
1178#447—111no—
1179#447—111no—
1180#447—111no—
1181#447—111no—
1182#447—111no—
1183#447—111no—
1184#447—111no—
1185#447—111no—
1186#447—111no—
1187#447C2×D1111yescharacteristic, complemented
1188#442—111no—
1189#442—111no—
1190#440—111no—
1191#440C2×D1111yescharacteristic, complemented
1192C4×SD16—111no—
1193C4×SD16—111no—
1194C4×D8—111no—
1195C4×D8—111no—
1196#436—111no—
1197#436—111no—
1198#435—111no—
1199#435—111no—
1200#435—111no—
1201#435C2×D1111yescharacteristic, complemented
1202C8×D4—111no—
1203C8×D4—111no—
1204#428—111no—
1205#423—111no—
1206#418—111no—
1207#418—111no—
1208#418—111no—
1209#417—111no—
1210#417—111no—
1211#417—111no—
1212#407—111no—
1213#407—111no—
1214C4×M16—111no—
1215C22×C11—21no—
1216C22×C11—21no—
1217C22×C11—21no—
1218C22×C11—21no—
1219C22×C11—22no—
1220C22×C11—21no—
1221C22×C11—41no—
1222C22×C11—41no—
1223C22×C11—41no—
1224C22×C11—41no—
1225C22×C11—41no—
1226C22×C11—41no—
1227C22×C11—41no—
1228C22×C11—41no—
1229C22×C11—41no—
1230C22×C11—41no—
1231C22×C11—41no—
1232C22×C11—84no—
1233C22×C11—84no—
1234C22×C11C2×AGL(1,ℤ/8)12yescomplemented
1235C22×C11C23×D411yescharacteristic
1236C2×D11—21no—
1237C2×D11—21no—
1238C2×D11—21no—
1239C2×D11—21no—
1240C2×D11—21no—
1241C2×D11—22no—
1242C2×D11—21no—
1243C2×D11—22no—
1244C2×D11—21no—
1245C2×D11—44no—
1246C2×D11—44no—
1247C2×D11—48no—
1248C2×D11—41no—
1249C2×D11—41no—
1250C2×D11—41no—
1251C2×D11—41no—
1252C2×D11—41no—
1253C2×D11—41no—
1254C2×D11—41no—
1255C2×D11—41no—
1256C2×D11—41no—
1257C2×D11—41no—
1258C2×D11—41no—
1259C2×D11—41no—
1260C2×D11—41no—
1261C2×D11—84no—
1262C2×D11—84no—
1263C2×D11—84no—
1264C2×D11—84no—
1265C2×D11—84no—
1266C2×D11—84no—
1267C2×D11—84no—
1268C2×D11—84no—
1269C2×D11—84no—
1270C2×D11—84no—
1271C2×D11D4212yes—
1272C2×D11C2×AGL(1,ℤ/8)12yescomplemented
1273C4×C11—21no—
1274C4×C11—21no—
1275C4×C11—21no—
1276C4×C11—22no—
1277C4×C11—21no—
1278C4×C11—41no—
1279C4×C11—41no—
1280C4×C11—41no—
1281C4×C11C23×D411yescharacteristic
1282C4×C11C2×H(5,𝔽2)11yescharacteristic
1283Dic11—21no—
1284Dic11—21no—
1285Dic11—21no—
1286Dic11—41no—
1287Dic11—41no—
1288Dic11—41no—
1289Dic11D4212yes—
1290Dic11C2×AGL(1,ℤ/8)12yescomplemented
1291C25—221no—
1292C25—221no—
1293C2×#41—111no—
1294C2×#41—111no—
1295C2×#41—111no—
1296C2×#41—111no—
1297C2×#41—111no—
1298C2×#41—111no—
1299C2×#41—221no—
1300C2×#41—221no—
1301C2×#41—221no—
1302C2×#41—221no—
1303C2×#41—224no—
1304C2×#41—224no—
1305C2×#41—442no—
1306C2×#41—442no—
1307C2×#41C22×D1111yescharacteristic, complemented
1308C22×Q8—111no—
1309C22×Q8C22×D1111yescharacteristic, complemented
1310C22×D4—21no—
1311C22×D4—111no—
1312C22×D4—111no—
1313C22×D4—111no—
1314C22×D4—111no—
1315C22×D4—111no—
1316C22×D4—111no—
1317C22×D4—111no—
1318C22×D4—111no—
1319C22×D4—111no—
1320C22×D4—111no—
1321C22×D4—111no—
1322C22×D4—111no—
1323C22×D4—221no—
1324C22×D4—221no—
1325C22×D4—221no—
1326C22×D4—221no—
1327C22×D4—221no—
1328C22×D4—221no—
1329C22×D4—221no—
1330C22×D4—221no—
1331C22×D4—221no—
1332C22×D4—221no—
1333C22×D4—224no—
1334C22×D4—224no—
1335C22×D4—221no—
1336C22×D4—221no—
1337C22×D4—221no—
1338C22×D4—221no—
1339C22×D4—221no—
1340C22×D4—221no—
1341C22×D4—221no—
1342C22×D4—221no—
1343C22×D4—221no—
1344C22×D4—221no—
1345C22×D4—442no—
1346C22×D4—442no—
1347C22×D4—448no—
1348C22×D4C22×D1111yescharacteristic
1349C22×D4C22×D1111yescharacteristic
1350C23×C4—111no—
1351C23×C4—111no—
1352C23×C4—221no—
1353C23×C4—221no—
1354C23×C4—221no—
1355AGL(1,ℤ/8)—24no—
1356AGL(1,ℤ/8)—118no—
1357AGL(1,ℤ/8)—224no—
1358AGL(1,ℤ/8)—224no—
1359AGL(1,ℤ/8)—224no—
1360AGL(1,ℤ/8)—224no—
1361AGL(1,ℤ/8)—224no—
1362AGL(1,ℤ/8)—224no—
1363AGL(1,ℤ/8)—224no—
1364AGL(1,ℤ/8)—224no—
1365AGL(1,ℤ/8)—224no—
1366AGL(1,ℤ/8)—224no—
1367AGL(1,ℤ/8)—224no—
1368AGL(1,ℤ/8)—224no—
1369AGL(1,ℤ/8)—224no—
1370AGL(1,ℤ/8)—442no—
1371AGL(1,ℤ/8)—442no—
1372C2×SD16—24no—
1373C2×SD16—111no—
1374C2×SD16—111no—
1375C2×SD16—111no—
1376C2×SD16—111no—
1377C2×SD16—111no—
1378C2×SD16—111no—
1379C2×SD16—111no—
1380C2×SD16—111no—
1381C2×SD16—111no—
1382C2×SD16—111no—
1383C2×SD16—111no—
1384C2×SD16—111no—
1385C2×SD16—224no—
1386C2×SD16—224no—
1387C2×SD16—224no—
1388C2×SD16C22×D1111yescharacteristic
1389C2×SD16C22×D1111yescharacteristic
1390C2×SD16C22×D1111yescharacteristic, complemented
1391C2×SD16C22×D1111yescharacteristic, complemented
1392C2×SD16C22×D1111yescharacteristic, complemented
1393C2×SD16C22×D1111yescharacteristic, complemented
1394C2×D8—111no—
1395C2×D8—111no—
1396C2×D8—111no—
1397C2×D8—111no—
1398C2×D8—111no—
1399C2×D8—111no—
1400C2×D8—111no—
1401C2×D8—111no—
1402C2×D8—111no—
1403C2×D8—111no—
1404C2×D8—111no—
1405C2×D8—111no—
1406C2×D8—111no—
1407C2×D8—111no—
1408C2×D8—111no—
1409C2×D8—224no—
1410C2×D8—224no—
1411C2×D8—224no—
1412C2×D8—224no—
1413C2×D8C22×D1111yescharacteristic
1414C2×D8C22×D1111yescharacteristic, complemented
1415C2×D8C22×D1111yescharacteristic, complemented
1416C2×M16—111no—
1417C2×M16—111no—
1418C2×M16—111no—
1419C2×M16—111no—
1420C2×M16—111no—
1421C2×M16—111no—
1422C2×M16—111no—
1423C2×M16—224no—
1424C2×M16—224no—
1425C2×M16C22×D1111yescharacteristic, complemented
1426C22×C8—111no—
1427C22×C8—111no—
1428C22×C8—111no—
1429C22×C8C22×D1111yescharacteristic, complemented
1430C4⋊Q8—111no—
1431C4⋊Q8—221no—
1432#127—111no—
1433#127—111no—
1434#127—111no—
1435#127—111no—
1436#127—221no—
1437#127—221no—
1438#127—221no—
1439#127C22×D1111yescharacteristic
1440#124—21no—
1441#124—111no—
1442#124—221no—
1443#124C22×D1111yescharacteristic, complemented
1444#123—221no—
1445#123—221no—
1446#123—221no—
1447#123—221no—
1448#123—221no—
1449#123—221no—
1450C22⋊Q8—21no—
1451C22⋊Q8—111no—
1452C22⋊Q8—111no—
1453C22⋊Q8—111no—
1454C22⋊Q8—221no—
1455C22⋊Q8—221no—
1456C22⋊Q8—221no—
1457C22⋊Q8C22×D1111yescharacteristic, complemented
1458#121—21no—
1459#121—21no—
1460#121—111no—
1461#121—111no—
1462#121—111no—
1463#121—111no—
1464#121—111no—
1465#121—111no—
1466#121—111no—
1467#121—111no—
1468#121—111no—
1469#121—221no—
1470#121—221no—
1471#121—221no—
1472#121—221no—
1473#121—221no—
1474#121—221no—
1475#121—221no—
1476#121—221no—
1477#121—221no—
1478#121—221no—
1479#121—221no—
1480#121—221no—
1481#121—221no—
1482#121—221no—
1483#121—221no—
1484#121—221no—
1485#121—221no—
1486#121—221no—
1487#121—221no—
1488#121—221no—
1489#121C22×D1111yescharacteristic
1490#121C22×D1111yescharacteristic
1491#121C22×D1111yescharacteristic, complemented
1492#120—21no—
1493#120—21no—
1494#120—221no—
1495#120—221no—
1496#120—221no—
1497#120—221no—
1498#120—221no—
1499#120—221no—
1500#120—221no—
1501#120—221no—
1502#120—221no—
1503#120—221no—
1504#120—221no—
1505#120—221no—
1506#120—221no—
1507#120—221no—
1508#120—221no—
1509#120—221no—
1510#120—221no—
1511#120—221no—
1512#120—221no—
1513#120—221no—
1514C4×Q8—111no—
1515C4×Q8C22×D1111yescharacteristic, complemented
1516C4×D4—21no—
1517C4×D4—111no—
1518C4×D4—111no—
1519C4×D4—111no—
1520C4×D4—111no—
1521C4×D4—111no—
1522C4×D4—111no—
1523C4×D4—111no—
1524C4×D4—111no—
1525C4×D4—111no—
1526C4×D4—111no—
1527C4×D4—111no—
1528C4×D4—111no—
1529C4×D4—221no—
1530C4×D4—221no—
1531C4×D4—221no—
1532C4×D4—221no—
1533C4×D4—221no—
1534C4×D4—221no—
1535C4×D4—221no—
1536C4×D4—221no—
1537C4×D4—221no—
1538C4×D4—221no—
1539C4×D4—221no—
1540C4×D4—221no—
1541C4×D4—221no—
1542C4×D4C22×D1111yescharacteristic
1543C4×D4C22×D1111yescharacteristic
1544#117—111no—
1545#117—221no—
1546C2×C4⋊C4—111no—
1547C2×C4⋊C4—111no—
1548C2×C4⋊C4—221no—
1549C2×C22⋊C4—111no—
1550C2×C22⋊C4—111no—
1551C2×C22⋊C4—221no—
1552C2×C22⋊C4—221no—
1553C2×C22⋊C4—221no—
1554C2×C22⋊C4—221no—
1555C2×C22⋊C4—221no—
1556C2×C42—111no—
1557C2×C42—221no—
1558#107—111no—
1559#107C22×D1111yescharacteristic, complemented
1560#106—111no—
1561#106—111no—
1562C4⋊C8—111no—
1563C4⋊C8—111no—
1564C4⋊C8—111no—
1565C4⋊C8C22×D1111yescharacteristic, complemented
1566#103—111no—
1567#103—111no—
1568#103—111no—
1569#103—111no—
1570#103C22×D1111yescharacteristic, complemented
1571#103C22×D1111yescharacteristic, complemented
1572#102—111no—
1573#102—111no—
1574#102—111no—
1575#102—111no—
1576#102—111no—
1577#102—111no—
1578#102—111no—
1579#102—111no—
1580#102—111no—
1581#102—111no—
1582#102—111no—
1583#102—111no—
1584#102—111no—
1585#102—111no—
1586#102C22×D1111yescharacteristic
1587#102C22×D1111yescharacteristic, complemented
1588#102C22×D1111yescharacteristic, complemented
1589#102C22×D1111yescharacteristic, complemented
1590C22⋊C8—111no—
1591C22⋊C8—111no—
1592C22⋊C8—111no—
1593C22⋊C8—111no—
1594C22⋊C8—111no—
1595C22⋊C8—111no—
1596C22⋊C8C22×D1111yescharacteristic, complemented
1597C22⋊C8C22×D1111yescharacteristic, complemented
1598#97—111no—
1599#97C22×D1111yescharacteristic, complemented
1600C4×C8—111no—
1601C4×C8—111no—
1602C2×C11—22no—
1603C2×C11—41no—
1604C2×C11—42no—
1605C2×C11—81no—
1606C2×C11—81no—
1607C2×C11—81no—
1608C2×C11C2×D4211yescharacteristic
1609C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
1610C2×C11#358511yescharacteristic
1611D11—22no—
1612D11—22no—
1613D11—41no—
1614D11—42no—
1615D11—42no—
1616D11—81no—
1617D11—81no—
1618D11—81no—
1619C24—21no—
1620C24—21no—
1621C24—111no—
1622C24—111no—
1623C24—221no—
1624C24—221no—
1625C24—221no—
1626C24—221no—
1627C24—221no—
1628C24—221no—
1629C24—221no—
1630C24—221no—
1631C24—221no—
1632C24—221no—
1633C24—221no—
1634C24—444no—
1635C24—444no—
1636C24—444no—
1637C24—444no—
1638C24—882no—
1639C24—882no—
1640#41—22no—
1641#41—41no—
1642#41—114no—
1643#41—222no—
1644#41—222no—
1645#41—222no—
1646#41—222no—
1647#41—222no—
1648#41—222no—
1649#41—222no—
1650#41—222no—
1651#41—441no—
1652#41—444no—
1653#41—444no—
1654#41—444no—
1655#41—441no—
1656#41—441no—
1657#41—444no—
1658C2×Q8—21no—
1659C2×Q8—22no—
1660C2×Q8—41no—
1661C2×Q8—111no—
1662C2×Q8—221no—
1663C2×Q8—222no—
1664C2×Q8—441no—
1665C2×Q8C23×D1111yescharacteristic
1666C2×Q8C23×D1111yescharacteristic
1667C2×D4—22no—
1668C2×D4—22no—
1669C2×D4—21no—
1670C2×D4—21no—
1671C2×D4—21no—
1672C2×D4—21no—
1673C2×D4—21no—
1674C2×D4—21no—
1675C2×D4—21no—
1676C2×D4—21no—
1677C2×D4—41no—
1678C2×D4—41no—
1679C2×D4—44no—
1680C2×D4—111no—
1681C2×D4—114no—
1682C2×D4—111no—
1683C2×D4—111no—
1684C2×D4—111no—
1685C2×D4—111no—
1686C2×D4—111no—
1687C2×D4—111no—
1688C2×D4—111no—
1689C2×D4—222no—
1690C2×D4—222no—
1691C2×D4—222no—
1692C2×D4—221no—
1693C2×D4—221no—
1694C2×D4—221no—
1695C2×D4—221no—
1696C2×D4—221no—
1697C2×D4—221no—
1698C2×D4—221no—
1699C2×D4—222no—
1700C2×D4—222no—
1701C2×D4—222no—
1702C2×D4—222no—
1703C2×D4—222no—
1704C2×D4—221no—
1705C2×D4—221no—
1706C2×D4—221no—
1707C2×D4—221no—
1708C2×D4—221no—
1709C2×D4—221no—
1710C2×D4—221no—
1711C2×D4—221no—
1712C2×D4—221no—
1713C2×D4—221no—
1714C2×D4—221no—
1715C2×D4—221no—
1716C2×D4—221no—
1717C2×D4—221no—
1718C2×D4—224no—
1719C2×D4—222no—
1720C2×D4—222no—
1721C2×D4—222no—
1722C2×D4—222no—
1723C2×D4—222no—
1724C2×D4—221no—
1725C2×D4—221no—
1726C2×D4—221no—
1727C2×D4—221no—
1728C2×D4—221no—
1729C2×D4—221no—
1730C2×D4—221no—
1731C2×D4—221no—
1732C2×D4—221no—
1733C2×D4—221no—
1734C2×D4—221no—
1735C2×D4—221no—
1736C2×D4—221no—
1737C2×D4—441no—
1738C2×D4—441no—
1739C2×D4—441no—
1740C2×D4—444no—
1741C2×D4—444no—
1742C2×D4—441no—
1743C2×D4—441no—
1744C2×D4—441no—
1745C2×D4—441no—
1746C2×D4—441no—
1747C2×D4—444no—
1748C2×D4—444no—
1749C2×D4—444no—
1750C2×D4—444no—
1751C2×D4—444no—
1752C2×D4—444no—
1753C2×D4—444no—
1754C2×D4—444no—
1755C2×D4—444no—
1756C2×D4—444no—
1757C2×D4—444no—
1758C2×D4—444no—
1759C2×D4—444no—
1760C2×D4—444no—
1761C2×D4—444no—
1762C2×D4—444no—
1763C2×D4—444no—
1764C2×D4—882no—
1765C2×D4D4×D1111yescharacteristic
1766C2×D4C23×D1111yescharacteristic
1767C2×D4C23×D1111yescharacteristic
1768C2×D4C23×D1111yescharacteristic
1769C2×D4C23×D1111yescharacteristic
1770C22×C4—21no—
1771C22×C4—21no—
1772C22×C4—21no—
1773C22×C4—111no—
1774C22×C4—111no—
1775C22×C4—111no—
1776C22×C4—111no—
1777C22×C4—111no—
1778C22×C4—111no—
1779C22×C4—111no—
1780C22×C4—111no—
1781C22×C4—111no—
1782C22×C4—111no—
1783C22×C4—111no—
1784C22×C4—221no—
1785C22×C4—222no—
1786C22×C4—222no—
1787C22×C4—222no—
1788C22×C4—222no—
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×C4—221no—
1800C22×C4—221no—
1801C22×C4—444no—
1802C22×C4—444no—
1803C22×C4—444no—
1804C22×C4C23×D1111yescharacteristic
1805C22×C4C23×D1111yescharacteristic
1806SD16—22no—
1807SD16—22no—
1808SD16—22no—
1809SD16—22no—
1810SD16—41no—
1811SD16—114no—
1812SD16—222no—
1813SD16—222no—
1814SD16—222no—
1815SD16—222no—
1816SD16—222no—
1817SD16—222no—
1818SD16—222no—
1819SD16—222no—
1820SD16—441no—
1821SD16—441no—
1822SD16—441no—
1823SD16D4×D1114yescomplemented
1824D8—22no—
1825D8—22no—
1826D8—41no—
1827D8—114no—
1828D8—114no—
1829D8—222no—
1830D8—222no—
1831D8—222no—
1832D8—222no—
1833D8—222no—
1834D8—222no—
1835D8—222no—
1836D8—222no—
1837D8—222no—
1838D8—222no—
1839D8—441no—
1840D8—441no—
1841D8—441no—
1842M16—22no—
1843M16—114no—
1844M16—222no—
1845M16—222no—
1846M16—222no—
1847M16—222no—
1848M16—222no—
1849M16—222no—
1850C2×C8—22no—
1851C2×C8—111no—
1852C2×C8—111no—
1853C2×C8—111no—
1854C2×C8—111no—
1855C2×C8—222no—
1856C2×C8—222no—
1857C2×C8—222no—
1858C2×C8C23×D1111yescharacteristic
1859C2×C8C23×D1111yescharacteristic
1860C2×C8C23×D1111yescharacteristic
1861C2×C8C23×D1111yescharacteristic
1862C4⋊C4—21no—
1863C4⋊C4—21no—
1864C4⋊C4—111no—
1865C4⋊C4—111no—
1866C4⋊C4—111no—
1867C4⋊C4—111no—
1868C4⋊C4—111no—
1869C4⋊C4—221no—
1870C4⋊C4—221no—
1871C4⋊C4—221no—
1872C4⋊C4—221no—
1873C4⋊C4—221no—
1874C4⋊C4—221no—
1875C4⋊C4—221no—
1876C4⋊C4D4×D1111yescharacteristic
1877C4⋊C4C23×D1111yescharacteristic
1878C4⋊C4C23×D1111yescharacteristic
1879C22⋊C4—21no—
1880C22⋊C4—21no—
1881C22⋊C4—21no—
1882C22⋊C4—21no—
1883C22⋊C4—21no—
1884C22⋊C4—21no—
1885C22⋊C4—21no—
1886C22⋊C4—111no—
1887C22⋊C4—111no—
1888C22⋊C4—111no—
1889C22⋊C4—111no—
1890C22⋊C4—111no—
1891C22⋊C4—111no—
1892C22⋊C4—221no—
1893C22⋊C4—221no—
1894C22⋊C4—221no—
1895C22⋊C4—221no—
1896C22⋊C4—221no—
1897C22⋊C4—221no—
1898C22⋊C4—221no—
1899C22⋊C4—221no—
1900C22⋊C4—221no—
1901C22⋊C4—221no—
1902C22⋊C4—221no—
1903C22⋊C4—221no—
1904C22⋊C4—221no—
1905C22⋊C4—221no—
1906C22⋊C4—221no—
1907C22⋊C4—221no—
1908C22⋊C4—221no—
1909C22⋊C4—221no—
1910C22⋊C4—221no—
1911C22⋊C4—221no—
1912C22⋊C4D4×D1111yescharacteristic
1913C22⋊C4D4×D1111yescharacteristic
1914C42—21no—
1915C42—111no—
1916C42—111no—
1917C42—111no—
1918C42—221no—
1919C42—221no—
1920C42C23×D1111yescharacteristic
1921C11D4×AGL(1,ℤ/8)11yescharacteristic, complemented, Sylow
1922C23—21no—
1923C23—21no—
1924C23—21no—
1925C23—21no—
1926C23—42no—
1927C23—42no—
1928C23—42no—
1929C23—42no—
1930C23—81no—
1931C23—81no—
1932C23—111no—
1933C23—111no—
1934C23—111no—
1935C23—222no—
1936C23—222no—
1937C23—224no—
1938C23—222no—
1939C23—222no—
1940C23—221no—
1941C23—221no—
1942C23—221no—
1943C23—221no—
1944C23—221no—
1945C23—441no—
1946C23—441no—
1947C23—442no—
1948C23—442no—
1949C23—442no—
1950C23—442no—
1951C23—442no—
1952C23—442no—
1953C23—442no—
1954C23—442no—
1955C23—442no—
1956C23—442no—
1957C23—442no—
1958C23—442no—
1959C23—442no—
1960C23—442no—
1961C23—442no—
1962C23—442no—
1963C23—442no—
1964C23—442no—
1965C23—442no—
1966C23—442no—
1967C23—442no—
1968C23—442no—
1969C23—442no—
1970C23—442no—
1971C23—881no—
1972C23—881no—
1973C23—881no—
1974C23—881no—
1975C23—881no—
1976C23—881no—
1977C23—881no—
1978C23—881no—
1979C23—8816no—
1980C23—8816no—
1981C23C2×D4×D1111yescharacteristic
1982C23C2×D4×D1111yescharacteristic
1983Q8—21no—
1984Q8—21no—
1985Q8—21no—
1986Q8—42no—
1987Q8—221no—
1988Q8—221no—
1989Q8—442no—
1990Q8C2×D4×D1112yescomplemented
1991D4—22no—
1992D4—21no—
1993D4—21no—
1994D4—21no—
1995D4—21no—
1996D4—21no—
1997D4—21no—
1998D4—21no—
1999D4—42no—
2000D4—42no—
2001D4—42no—
2002D4—42no—
2003D4—42no—
2004D4—42no—
2005D4—42no—
2006D4—81no—
2007D4—114no—
2008D4—112no—
2009D4—112no—
2010D4—222no—
2011D4—224no—
2012D4—224no—
2013D4—222no—
2014D4—221no—
2015D4—221no—
2016D4—221no—
2017D4—221no—
2018D4—221no—
2019D4—221no—
2020D4—221no—
2021D4—221no—
2022D4—442no—
2023D4—442no—
2024D4—442no—
2025D4—442no—
2026D4—442no—
2027D4—442no—
2028D4—442no—
2029D4—442no—
2030D4—442no—
2031D4—442no—
2032D4—442no—
2033D4—442no—
2034D4—442no—
2035D4—442no—
2036D4—442no—
2037D4—442no—
2038D4—442no—
2039D4—442no—
2040D4—442no—
2041D4—442no—
2042D4—442no—
2043D4—442no—
2044D4—442no—
2045D4—442no—
2046D4—442no—
2047D4—442no—
2048D4—881no—
2049D4—881no—
2050D4—881no—
2051D4—881no—
2052D4—881no—
2053D4—881no—
2054D4C2×D4×D1112yes—
2055C2×C4—21no—
2056C2×C4—21no—
2057C2×C4—21no—
2058C2×C4—21no—
2059C2×C4—21no—
2060C2×C4—21no—
2061C2×C4—21no—
2062C2×C4—21no—
2063C2×C4—42no—
2064C2×C4—42no—
2065C2×C4—42no—
2066C2×C4—111no—
2067C2×C4—111no—
2068C2×C4—112no—
2069C2×C4—112no—
2070C2×C4—111no—
2071C2×C4—111no—
2072C2×C4—111no—
2073C2×C4—222no—
2074C2×C4—222no—
2075C2×C4—222no—
2076C2×C4—224no—
2077C2×C4—222no—
2078C2×C4—222no—
2079C2×C4—222no—
2080C2×C4—222no—
2081C2×C4—221no—
2082C2×C4—221no—
2083C2×C4—221no—
2084C2×C4—221no—
2085C2×C4—221no—
2086C2×C4—221no—
2087C2×C4—221no—
2088C2×C4—441no—
2089C2×C4—442no—
2090C2×C4—442no—
2091C2×C4—442no—
2092C2×C4—442no—
2093C2×C4—442no—
2094C2×C4—442no—
2095C2×C4—442no—
2096C2×C4—442no—
2097C2×C4—442no—
2098C2×C4—442no—
2099C2×C4—442no—
2100C2×C4—881no—
2101C2×C4C2×D4×D1111yescharacteristic
2102C2×C4C2×D4×D1111yescharacteristic
2103C2×C4C2×D4×D1111yescharacteristic
2104C2×C4C2×D4×D1111yescharacteristic
2105C2×C4C24×D1111yescharacteristic
2106C8—21no—
2107C8—21no—
2108C8—21no—
2109C8—112no—
2110C8—221no—
2111C8—221no—
2112C8—221no—
2113C8C2×D4×D1112yescomplemented
2114C22—21no—
2115C22—21no—
2116C22—21no—
2117C22—21no—
2118C22—22no—
2119C22—21no—
2120C22—41no—
2121C22—41no—
2122C22—41no—
2123C22—41no—
2124C22—41no—
2125C22—41no—
2126C22—41no—
2127C22—41no—
2128C22—41no—
2129C22—41no—
2130C22—41no—
2131C22—84no—
2132C22—84no—
2133C22—112no—
2134C22—112no—
2135C22—221no—
2136C22—221no—
2137C22—221no—
2138C22—221no—
2139C22—221no—
2140C22—221no—
2141C22—222no—
2142C22—222no—
2143C22—221no—
2144C22—444no—
2145C22—444no—
2146C22—448no—
2147C22—441no—
2148C22—441no—
2149C22—441no—
2150C22—441no—
2151C22—441no—
2152C22—441no—
2153C22—441no—
2154C22—441no—
2155C22—441no—
2156C22—441no—
2157C22—441no—
2158C22—441no—
2159C22—441no—
2160C22—884no—
2161C22—884no—
2162C22—884no—
2163C22—884no—
2164C22—884no—
2165C22—884no—
2166C22—884no—
2167C22—884no—
2168C22—884no—
2169C22—884no—
2170C22D11×AGL(1,ℤ/8)12yescomplemented
2171C22C22×D4×D1111yescharacteristic
2172C4—21no—
2173C4—21no—
2174C4—21no—
2175C4—22no—
2176C4—21no—
2177C4—41no—
2178C4—41no—
2179C4—41no—
2180C4—112no—
2181C4—112no—
2182C4—221no—
2183C4—221no—
2184C4—221no—
2185C4—441no—
2186C4—441no—
2187C4—441no—
2188C4C22×D4×D1111yescharacteristic
2189C4D11×H(5,𝔽2)11yescharacteristic
2190C2—22no—
2191C2—41no—
2192C2—42no—
2193C2—81no—
2194C2—81no—
2195C2—81no—
2196C2—222no—
2197C2—222no—
2198C2—441no—
2199C2—442no—
2200C2—442no—
2201C2—881no—
2202C2—881no—
2203C2—881no—
2204C2D42×D1111yescharacteristic
2205C2C2×D11×AGL(1,ℤ/8)11yescharacteristic
2206C2#1308339411yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3265C2
socleC22×C11C23×D4
hypercenter#3265D11
hypocenterC11D4×AGL(1,ℤ/8)
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3265

Complements

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

NH ≅ G/Ntype
1. C22×#66967C2semidirect
2. C2×D11×AGL(1,ℤ/8)C2semidirect
3. #13082105C2semidirect
4. D42×D11C2semidirect
5. SD16×C22⋊D11C2semidirect
6. #13080305C2semidirect
7. #13080290C2semidirect
8. #13080286C2semidirect
9. #13080230C2semidirect
10. #13080229C2semidirect
11. #13080214C2semidirect
12. #13080213C2semidirect
13. #13080113C2semidirect
14. #13080112C2semidirect
15. #13080106C2semidirect
16. #13080102C2semidirect
17. #13080101C2semidirect
18. #13080095C2semidirect
19. #13080092C2semidirect
20. #13079065C2semidirect
21. #13078232C2semidirect
22. #13078230C2semidirect
23. #13078093C2semidirect
24. #13078078C2semidirect
25. #13077867C2semidirect
26. #13077865C2semidirect
27. #13077844C2semidirect
28. #13077840C2semidirect
29. #13077421C2semidirect
30. #13077349C2semidirect
31. C11×#3265C2semidirect
32. C2×#41×D11C22semidirect
33. C22×#4343C22semidirect
35. C22×D4×D11C22semidirect
36. C22×D4×D11C22semidirect
37. C2×C11×AGL(1,ℤ/8)C22semidirect
38. C22×C11×SD16C22semidirect
39. C11×#548C22semidirect
40. D42×C11C22semidirect
41. #10623365C22semidirect
42. C2×#67002C22semidirect
43. Q8×C22⋊D11C22semidirect
44. C22×#4325C22semidirect
47. D4×C22⋊D11C22semidirect
48. C2×#66985C22semidirect
49. C22×#4323C22semidirect
53. C2×#66967C22semidirect
54. C2×#66967C22semidirect
55. C2×#66967C22semidirect
56. C2×#66967C22semidirect
57. C2×#66967C22semidirect
58. C2×#66967C22semidirect
59. C2×#66967C22semidirect
60. C2×#66967C22semidirect
61. C2×#66967C22semidirect
62. C2×SD16×D11C22semidirect
63. C2×SD16×D11C22semidirect
64. C2×#66964C22semidirect
65. C2×#66964C22semidirect
66. C2×#66964C22semidirect
67. C2×D8×D11C22semidirect
68. C2×D8×D11C22semidirect
69. C2×#66961C22semidirect
70. C2×M16×D11C22semidirect
71. C22×D88C22semidirect
72. C22×#4313C22semidirect
73. #10623248C22semidirect
74. D11×#127C22semidirect
76. #10623207C22semidirect
78. #10623199C22semidirect
80. #10623162C22semidirect
82. #10623158C22semidirect
86. #10623140C22semidirect
87. #10623140C22semidirect
89. #10623137C22semidirect
91. D11×#121C22semidirect
92. D11×#121C22semidirect
97. #10623107C22semidirect
98. C4×#4343C22semidirect
100. #10623081C22semidirect
101. D4×D44C22semidirect
102. D4×D44C22semidirect
105. C4×D4×D11C22semidirect
106. C11×#496C22semidirect
107. C11×#468C22semidirect
108. C11×#466C22semidirect
109. C11×#463C22semidirect
110. C11×#460C22semidirect
111. C11×#450C22semidirect
112. C11×#449C22semidirect
113. C11×#448C22semidirect
114. C11×#447C22semidirect
115. C11×#440C22semidirect
116. C11×#435C22semidirect
117. #10622851C22semidirect
118. #10622840C22semidirect
119. #10622831C22semidirect
120. #10622830C22semidirect
121. #10622788C22semidirect
122. #10622788C22semidirect
123. #10622785C22semidirect
124. #10622785C22semidirect
125. #10622784C22semidirect
126. #10622783C22semidirect
127. #10622782C22semidirect
128. #10622782C22semidirect
129. #10622776C22semidirect
130. #10622776C22semidirect
131. #10622775C22semidirect
132. SD16×Dic11C22semidirect
133. #10622772C22semidirect
134. #10622769C22semidirect
135. #10622769C22semidirect
136. #10622769C22semidirect
137. #10622764C22semidirect
138. #10622764C22semidirect
139. #10622763C22semidirect
140. #10622748C22semidirect
141. #10622741C22semidirect
142. #10622727C22semidirect
143. C8×C22⋊D11C22semidirect
144. #10622687C22semidirect
145. #10622685C22semidirect
146. #10622671C22semidirect
147. #10622670C22semidirect
148. #10622662C22semidirect
149. #10622659C22semidirect
150. #10622654C22semidirect
151. #10622652C22semidirect
152. #10622651C22semidirect
153. #10622650C22semidirect
154. #10622649C22semidirect
155. #10622649C22semidirect
156. #10622640C22semidirect
157. #10622639C22semidirect
158. #10622629C22semidirect
159. #10622627C22semidirect
160. #10622624C22semidirect
161. #10622499C22semidirect
162. #10622496C22semidirect
163. #10622494C22semidirect
164. #10622485C22semidirect
165. #10622457C22semidirect
166. #10622456C22semidirect
167. #10622450C22semidirect
168. #10622449C22semidirect
169. #10622431C22semidirect
170. #10622424C22semidirect
171. #10622424C22semidirect
172. #10622420C22semidirect
173. #10622419C22semidirect
174. #10622416C22semidirect
175. #10622416C22semidirect
176. #10622401C22semidirect
177. #10622399C22semidirect
178. #10622399C22semidirect
179. #10622399C22semidirect
180. #10622395C22semidirect
181. #10622393C22semidirect
182. #10622389C22semidirect
183. #10622389C22semidirect
184. #10622388C22semidirect
185. #10622386C22semidirect
186. #10622386C22semidirect
187. #10622386C22semidirect
188. #10622384C22semidirect
189. #10622383C22semidirect
190. #10622383C22semidirect
191. #10622383C22semidirect
192. #10622369C22semidirect
193. #10622347C22semidirect
194. #10622345C22semidirect
195. #10622345C22semidirect
196. #10622344C22semidirect
197. #10622342C22semidirect
198. #10622339C22semidirect
199. #10622339C22semidirect
200. (C22⋊D11)⋊C8C22semidirect
201. #10622325C22semidirect
202. #10622324C22semidirect
203. #10622320C22semidirect
204. #10622319C22semidirect
207. C2×C11×#41C23semidirect
208. C22×Q8×C11C23semidirect
224. C2×#4343C23semidirect
225. C2×#4343C23semidirect
226. C2×Q8×D11C23semidirect
256. C2×D4×D11C23semidirect
258. C2×#4339C23semidirect
263. C22×D44C23semidirect
273. C2×C11×SD16C23semidirect
274. C2×C11×SD16C23semidirect
275. C2×C11×SD16C23semidirect
276. C2×C11×SD16C23semidirect
278. C2×C11×D8C23semidirect
279. C2×C11×D8C23semidirect
280. C2×C11×M16C23semidirect
281. C22×C8×C11C23semidirect
284. C11×#124C23semidirect
286. C11×C22⋊Q8C23semidirect
291. C11×#121C23semidirect
294. C4×Q8×C11C23semidirect
302. #66999C23semidirect
303. Q8×Dic11C23semidirect
305. #66997C23semidirect
309. C2×#4325C23semidirect
310. C2×#4325C23semidirect
311. C2×#4325C23semidirect
312. C2×#4325C23semidirect
318. #66993C23semidirect
327. #66991C23semidirect
341. C2×#4324C23semidirect
342. C2×#4324C23semidirect
348. C2×#4323C23semidirect
349. C2×#4323C23semidirect
350. C2×#4323C23semidirect
351. C2×#4323C23semidirect
352. C2×#4323C23semidirect
353. C2×#4323C23semidirect
358. #66983C23semidirect
365. #66977C23semidirect
366. C2×#4318C23semidirect
367. C22×C11⋊C8C23semidirect
377. #66967D4semidirect
390. C2×D88C23semidirect
391. C2×D88C23semidirect
392. C2×D88C23semidirect
393. C2×D88C23semidirect
395. C2×#4314C23semidirect
396. C2×#4314C23semidirect
402. C2×#4313C23semidirect
403. C2×#4313C23semidirect
404. C2×C8×D11C23semidirect
405. C2×C8×D11C23semidirect
407. #66950C23semidirect
412. #66948C23semidirect
420. #66946C23semidirect
463. #66928C23semidirect
469. C4×D44C23semidirect
472. C11×#107C23semidirect
473. C11×C4⋊C8C23semidirect
474. C11×#103C23semidirect
475. C11×#103C23semidirect
477. C11×#102C23semidirect
478. C11×#102C23semidirect
479. C11×#102C23semidirect
480. C11×C22⋊C8C23semidirect
481. C11×C22⋊C8C23semidirect
482. C11×#97C23semidirect
483. #66899C23semidirect
484. #66899C23semidirect
486. #66896C23semidirect
487. #66896C23semidirect
488. #66896C23semidirect
489. C22⋊(C11⋊C8)C23semidirect
490. C22⋊(C11⋊C8)C23semidirect
492. #66885C23semidirect
493. #66885C23semidirect
494. #66885C23semidirect
495. #66885C23semidirect
496. (C2×D11)⋊C8C23semidirect
497. (C2×D11)⋊C8C23semidirect
498. (C2×D11)⋊C8C23semidirect
499. (C2×D11)⋊C8C23semidirect
500. #66881C23semidirect
501. #66880C23semidirect
502. Dic11⋊C8C23semidirect
503. Dic11⋊C8C23semidirect
504. C8×Dic11C23semidirect
505. C8×Dic11C23semidirect
506. #66874C23semidirect
508. #66873C23semidirect
509. #66873C23semidirect
510. #66873C23semidirect
511. #66873C23semidirect
512. #66872C23semidirect
513. #66871C23semidirect
514. C4⋊(C11⋊C8)C23semidirect
515. #66867C23semidirect
609. #4343C2×D4semidirect
645. D4×D11C2×D4semidirect
709. C11×SD16C2×D4semidirect
747. #4325C2×D4semidirect
759. #4323C2×D4semidirect
807. D88C2×D4semidirect
816. #4313C2×D4semidirect
834. #3265D11semidirect
915. Q8×C11C22×D4semidirect
972. C22⋊D11AGL(1,ℤ/8)semidirect
1007. D44C22×D4semidirect
1037. C8×C11C22×D4semidirect
1041. C11⋊C8C22×D4semidirect
1065. C2×AGL(1,ℤ/8)C2×D11semidirect
1069. C22×SD16C2×D11semidirect
1079. #548C2×D11semidirect
1099. D42C2×D11semidirect
1119. #496C2×D11semidirect
1131. #468C2×D11semidirect
1135. #466C2×D11semidirect
1143. #463C2×D11semidirect
1149. #460C2×D11semidirect
1163. #450C2×D11semidirect
1171. #449C2×D11semidirect
1175. #448C2×D11semidirect
1187. #447C2×D11semidirect
1191. #440C2×D11semidirect
1201. #435C2×D11semidirect
1234. C22×C11C2×AGL(1,ℤ/8)semidirect
1272. C2×D11C2×AGL(1,ℤ/8)semidirect
1290. Dic11C2×AGL(1,ℤ/8)semidirect
1307. C2×#41C22×D11semidirect
1309. C22×Q8C22×D11semidirect
1390. C2×SD16C22×D11semidirect
1391. C2×SD16C22×D11semidirect
1392. C2×SD16C22×D11semidirect
1393. C2×SD16C22×D11semidirect
1414. C2×D8C22×D11semidirect
1415. C2×D8C22×D11semidirect
1425. C2×M16C22×D11semidirect
1429. C22×C8C22×D11semidirect
1443. #124C22×D11semidirect
1457. C22⋊Q8C22×D11semidirect
1491. #121C22×D11semidirect
1515. C4×Q8C22×D11semidirect
1559. #107C22×D11semidirect
1565. C4⋊C8C22×D11semidirect
1570. #103C22×D11semidirect
1571. #103C22×D11semidirect
1587. #102C22×D11semidirect
1588. #102C22×D11semidirect
1589. #102C22×D11semidirect
1596. C22⋊C8C22×D11semidirect
1597. C22⋊C8C22×D11semidirect
1599. #97C22×D11semidirect
1823. SD16D4×D11semidirect
1921. C11D4×AGL(1,ℤ/8)semidirect
1990. Q8C2×D4×D11semidirect
2113. C8C2×D4×D11semidirect
2170. C22D11×AGL(1,ℤ/8)semidirect

Maximal subgroups

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

subgroupindex
C22×#669672
C2×D11×AGL(1,ℤ/8)2
#130821052
D42×D112
SD16×C22⋊D112
#130803052
#130802902
#130802862
#130802302
#130802292
#130802142
#130802132
#130801132
#130801122
#130801062
#130801022
#130801012
#130800952
#130800922
#130790652
#130782322
#130782302
#130780932
#130780782
#130778672
#130778652
#130778442
#130778402
#130774212
#130773492
C11×#32652
D4×AGL(1,ℤ/8)11