Finite Group Databasebeta

← #15629357

Subgroups — #15629357

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×#66964C211yesmaximal, characteristic, complemented
2C2×D11×AGL(1,ℤ/8)C211yesmaximal, characteristic, complemented
3#13082100C211yesmaximal, characteristic, complemented
4D42×D11C211yesmaximal, characteristic, complemented
5#13080310C211yesmaximal, characteristic, complemented
6#13080309C211yesmaximal, characteristic, complemented
7D8×C22⋊D11C211yesmaximal, characteristic, complemented
8#13080286C211yesmaximal, characteristic, complemented
9#13080234C211yesmaximal, characteristic, complemented
10#13080233C211yesmaximal, characteristic, complemented
11#13080210C211yesmaximal, characteristic, complemented
12#13080209C211yesmaximal, characteristic, complemented
13#13080117C211yesmaximal, characteristic, complemented
14#13080116C211yesmaximal, characteristic, complemented
15#13080110C211yesmaximal, characteristic, complemented
16#13080107C211yesmaximal, characteristic, complemented
17#13080098C211yesmaximal, characteristic, complemented
18#13080097C211yesmaximal, characteristic, complemented
19#13080091C211yesmaximal, characteristic, complemented
20#13079065C211yesmaximal, characteristic, complemented
21#13078234C211yesmaximal, characteristic, complemented
22#13078228C211yesmaximal, characteristic, complemented
23#13078091C211yesmaximal, characteristic, complemented
24#13078078C211yesmaximal, characteristic, complemented
25#13077865C211yesmaximal, characteristic, complemented
26#13077863C211yesmaximal, characteristic, complemented
27#13077844C211yesmaximal, characteristic, complemented
28#13077840C211yesmaximal, characteristic, complemented
29#13077427C211yesmaximal, characteristic, complemented
30#13077349C211yesmaximal, characteristic, complemented
31C11×#3264C211yesmaximal, characteristic, complemented
32C2×#41×D11C2211yescharacteristic, complemented
33C22×#4341C2211yescharacteristic, complemented
34C22×D4×D11—21no—
35C22×D4×D11C2211yescharacteristic, complemented
36C22×D4×D11C2211yescharacteristic, complemented
37C2×C11×AGL(1,ℤ/8)C2211yescharacteristic, complemented
38C22×C11×D8C2211yescharacteristic, complemented
39C11×#546C2211yescharacteristic, complemented
40D42×C11C2211yescharacteristic, complemented
41#10623355C2211yescharacteristic, complemented
42C2×#67002C2211yescharacteristic, complemented
43D4×C22⋊D11—21no—
44D4×C22⋊D11C2211yescharacteristic
45D4×C22⋊D11C2211yescharacteristic, complemented
46D4×C22⋊D11C2211yescharacteristic, complemented
47C22×#4324C2211yescharacteristic, complemented
48C2×#66985C2211yescharacteristic, complemented
49C22×#4323C2211yescharacteristic, complemented
50D11×AGL(1,ℤ/8)—28no—
51C2×#66967C2211yescharacteristic, complemented
52C2×#66967C2211yescharacteristic, complemented
53C2×#66967C2211yescharacteristic, complemented
54C2×SD16×D11C2211yescharacteristic, complemented
55C2×SD16×D11C2211yescharacteristic, complemented
56C2×#66964—28no—
57C2×#66964C2211yescharacteristic
58C2×#66964C2211yescharacteristic, complemented
59C2×#66964C2211yescharacteristic, complemented
60C2×#66964C2211yescharacteristic, complemented
61C2×#66964C2211yescharacteristic, complemented
62C2×#66964C2211yescharacteristic, complemented
63C2×#66964C2211yescharacteristic, 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×#4314C2211yescharacteristic, complemented
72C22×#4313C2211yescharacteristic, complemented
73#10623248C2211yescharacteristic, complemented
74D11×#127C2211yescharacteristic, complemented
75#10623208C2211yescharacteristic, complemented
76#10623199C2211yescharacteristic, complemented
77#10623187—21no—
78#10623186—21no—
79#10623163C2211yescharacteristic, complemented
80#10623158C2211yescharacteristic, complemented
81#10623141—21no—
82#10623140—21no—
83#10623140C2211yescharacteristic
84#10623140C2211yescharacteristic, complemented
85#10623137C2211yescharacteristic, complemented
86D11×#121—21no—
87D11×#121C2211yescharacteristic, complemented
88D11×#121C2211yescharacteristic, complemented
89#10623130C2211yescharacteristic, complemented
90#10623127—21no—
91#10623121—21no—
92#10623121—21no—
93#10623121—21no—
94D11×#120—21no—
95D11×#120—21no—
96#10623117—21no—
97#10623085C2211yescharacteristic, complemented
98#10623083C2211yescharacteristic, complemented
99D4×D44C2211yescharacteristic, complemented
100D4×D44C2211yescharacteristic, complemented
101C4×D4×D11C2211yescharacteristic
102C4×D4×D11C2211yescharacteristic, complemented
103C4×#4341C2211yescharacteristic, complemented
104#10623021—21no—
105C2×(C22⋊D11)⋊C4—21no—
106C11×#496C2211yescharacteristic, complemented
107C11×#469C2211yescharacteristic, complemented
108C11×#465C2211yescharacteristic, complemented
109C11×#463C2211yescharacteristic, complemented
110C11×#459C2211yescharacteristic, complemented
111C11×#450C2211yescharacteristic, complemented
112C11×#449C2211yescharacteristic, complemented
113C11×#447C2211yescharacteristic, complemented
114C11×#447C2211yescharacteristic, complemented
115C11×#442C2211yescharacteristic, complemented
116C11×#435C2211yescharacteristic, complemented
117#10622851C2211yescharacteristic, complemented
118#10622831C2211yescharacteristic, complemented
119#10622830C2211yescharacteristic, complemented
120#10622830C2211yescharacteristic, complemented
121#10622788C2211yescharacteristic, complemented
122#10622788C2211yescharacteristic, complemented
123#10622787C2211yescharacteristic, complemented
124#10622783C2211yescharacteristic, complemented
125#10622782C2211yescharacteristic, complemented
126#10622782C2211yescharacteristic, complemented
127#10622775C2211yescharacteristic, complemented
128#10622771C2211yescharacteristic, complemented
129#10622771C2211yescharacteristic, complemented
130#10622770C2211yescharacteristic, complemented
131#10622769C2211yescharacteristic, complemented
132#10622769C2211yescharacteristic, complemented
133#10622769C2211yescharacteristic, complemented
134#10622764C2211yescharacteristic, complemented
135#10622764C2211yescharacteristic, complemented
136#10622763C2211yescharacteristic, complemented
137#10622763C2211yescharacteristic, complemented
138#10622763C2211yescharacteristic, complemented
139D8×Dic11C2211yescharacteristic, complemented
140#10622747C2211yescharacteristic, complemented
141#10622741C2211yescharacteristic, complemented
142#10622728C2211yescharacteristic, complemented
143C8×C22⋊D11C2211yescharacteristic, complemented
144#10622688C2211yescharacteristic, complemented
145#10622687C2211yescharacteristic, complemented
146#10622671C2211yescharacteristic, complemented
147#10622670C2211yescharacteristic, complemented
148#10622661C2211yescharacteristic, complemented
149#10622659C2211yescharacteristic, complemented
150#10622655C2211yescharacteristic, complemented
151#10622653C2211yescharacteristic, complemented
152#10622652C2211yescharacteristic, complemented
153#10622651C2211yescharacteristic, complemented
154#10622650C2211yescharacteristic, complemented
155#10622649C2211yescharacteristic, complemented
156#10622631C2211yescharacteristic, complemented
157#10622629C2211yescharacteristic, complemented
158#10622628C2211yescharacteristic, complemented
159#10622627C2211yescharacteristic, complemented
160#10622624C2211yescharacteristic, complemented
161#10622478C2211yescharacteristic, complemented
162#10622477C2211yescharacteristic, complemented
163#10622474C2211yescharacteristic, complemented
164#10622465C2211yescharacteristic, complemented
165#10622461C2211yescharacteristic, complemented
166#10622457C2211yescharacteristic, complemented
167#10622450C2211yescharacteristic, complemented
168#10622449C2211yescharacteristic, complemented
169#10622431C2211yescharacteristic, complemented
170#10622425C2211yescharacteristic, complemented
171#10622419C2211yescharacteristic, complemented
172#10622416C2211yescharacteristic, complemented
173#10622399C2211yescharacteristic, complemented
174#10622395C2211yescharacteristic, complemented
175#10622394C2211yescharacteristic, complemented
176#10622394C2211yescharacteristic, complemented
177#10622391C2211yescharacteristic, complemented
178#10622389C2211yescharacteristic, complemented
179#10622389C2211yescharacteristic, complemented
180#10622388C2211yescharacteristic, complemented
181#10622386C2211yescharacteristic, complemented
182#10622386C2211yescharacteristic, complemented
183#10622386C2211yescharacteristic, complemented
184#10622384C2211yescharacteristic, complemented
185#10622384C2211yescharacteristic, complemented
186#10622383C2211yescharacteristic, complemented
187#10622383C2211yescharacteristic, complemented
188#10622383C2211yescharacteristic, complemented
189#10622375C2211yescharacteristic, complemented
190#10622375C2211yescharacteristic, complemented
191#10622371C2211yescharacteristic, complemented
192#10622369C2211yescharacteristic, complemented
193#10622351C2211yescharacteristic, complemented
194#10622347C2211yescharacteristic, 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#10622323C2211yescharacteristic, complemented
203#10622320C2211yescharacteristic, complemented
204#10622319C2211yescharacteristic, complemented
205C24×D11—21no—
206C24×D11—21no—
207C2×C11×#41C2311yescharacteristic, complemented
208C22×D4×C11—21no—
209C22×D4×C11C2311yescharacteristic
210C22×D4×C11C2311yescharacteristic
211C22×D4×C11C2311yescharacteristic, complemented
212C22×C22⋊D11—21no—
213C22×C22⋊D11—21no—
214C22×C22⋊D11—21no—
215C22×C22⋊D11—21no—
216C22×C22⋊D11—21no—
217C22×C22⋊D11—21no—
218C23×Dic11—21no—
219#41×D11—24no—
220#41×D11—42no—
221C2×#4343C2311yescharacteristic
222C2×Q8×D11C2311yescharacteristic, complemented
223C2×#4341—24no—
224C2×#4341—21no—
225C2×#4341—21no—
226C2×#4341—21no—
227C2×#4341—42no—
228C2×#4341C2311yescharacteristic
229C2×#4341C2311yescharacteristic
230C2×#4341C2311yescharacteristic, complemented
231C2×#4341C2311yescharacteristic, complemented
232C2×D4×D11—24no—
233C2×D4×D11—24no—
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—21no—
246C2×D4×D11—21no—
247C2×D4×D11—42no—
248C2×D4×D11—42no—
249C2×D4×D11—48no—
250C2×D4×D11D411yescharacteristic
251C2×D4×D11C2311yescharacteristic
252C2×D4×D11C2311yescharacteristic
253C2×D4×D11C2311yescharacteristic
254C2×D4×D11C2311yescharacteristic
255C2×D4×D11C2311yescharacteristic
256C2×D4×D11C2311yescharacteristic
257C2×D4×D11C2311yescharacteristic
258C2×D4×D11C2311yescharacteristic, complemented
259C2×#4339—21no—
260C2×#4339C2311yescharacteristic, complemented
261C22×D44—21no—
262C22×D44C2311yescharacteristic
263C22×D44C2311yescharacteristic
264C22×C4×D11—21no—
265C22×C4×D11—21no—
266C22×C4×D11C2311yescharacteristic
267C22×C4×D11C2311yescharacteristic
268C22×Dic22C2311yescharacteristic, complemented
269C11×AGL(1,ℤ/8)—24no—
270C2×C11×SD16C2311yescharacteristic
271C2×C11×SD16C2311yescharacteristic, complemented
272C2×C11×SD16C2311yescharacteristic, complemented
273C2×C11×D8—24no—
274C2×C11×D8C2311yescharacteristic
275C2×C11×D8C2311yescharacteristic
276C2×C11×D8C2311yescharacteristic, complemented
277C2×C11×D8C2311yescharacteristic, complemented
278C2×C11×D8C2311yescharacteristic, complemented
279C2×C11×D8C2311yescharacteristic, complemented
280C2×C11×M16C2311yescharacteristic, complemented
281C22×C8×C11C2311yescharacteristic, complemented
282C11×#127C2311yescharacteristic
283C11×#124C2311yescharacteristic, complemented
284C11×#123—21no—
285C11×C22⋊Q8C2311yescharacteristic, complemented
286C11×#121—21no—
287C11×#121—21no—
288C11×#121C2311yescharacteristic
289C11×#121C2311yescharacteristic
290C11×#121C2311yescharacteristic, complemented
291C11×#120—21no—
292C11×#120—21no—
293C11×#120—21no—
294C4×D4×C11C2311yescharacteristic
295C4×D4×C11C2311yescharacteristic
296C4×D4×C11C2311yescharacteristic, complemented
297C2×C11×C22⋊C4—21no—
298#67006—21no—
299#67006—21no—
300#67006—21no—
301#67002—24no—
302#66999C2311yescharacteristic, complemented
303#66997C2311yescharacteristic, complemented
304C2×#4325C2311yescharacteristic
305C2×#4325C2311yescharacteristic, complemented
306C2×#4325C2311yescharacteristic, complemented
307#66993—21no—
308#66993—21no—
309#66993—21no—
310#66993C2311yescharacteristic
311#66993C2311yescharacteristic
312#66993C2311yescharacteristic, complemented
313#66992—21no—
314#66992—21no—
315#66992—21no—
316#66992—21no—
317#66992—21no—
318#66992—21no—
319#66992—21no—
320#66992—21no—
321#66991—21no—
322#66991C2311yescharacteristic
323#66991C2311yescharacteristic
324#66991C2311yescharacteristic, complemented
325#66990—21no—
326#66990—21no—
327#66990—21no—
328#66990—21no—
329#66990—21no—
330#66990—21no—
331#66990—21no—
332#66990—21no—
333#66988—21no—
334D4×Dic11—21no—
335D4×Dic11D411yescharacteristic
336D4×Dic11C2311yescharacteristic
337D4×Dic11C2311yescharacteristic, complemented
338C2×#4324—24no—
339C2×#4324C2311yescharacteristic
340C2×#4324C2311yescharacteristic
341C2×#4324C2311yescharacteristic, complemented
342C2×#4324C2311yescharacteristic, complemented
343C2×#4324C2311yescharacteristic, complemented
344C2×#4324C2311yescharacteristic, complemented
345#66985—24no—
346C2×#4323—24no—
347C2×#4323C2311yescharacteristic
348C2×#4323C2311yescharacteristic
349C2×#4323C2311yescharacteristic
350C2×#4323C2311yescharacteristic, complemented
351C2×#4323C2311yescharacteristic, complemented
352C2×#4323C2311yescharacteristic, complemented
353C2×#4323C2311yescharacteristic, complemented
354C2×#4323C2311yescharacteristic, complemented
355C2×#4323C2311yescharacteristic, complemented
356#66983—21no—
357#66983—21no—
358#66983C2311yescharacteristic
359#66983C2311yescharacteristic
360#66983C2311yescharacteristic, complemented
361#66982—21no—
362C4×C22⋊D11—21no—
363C4×C22⋊D11—21no—
364C4×C22⋊D11C2311yescharacteristic
365C4×C22⋊D11C2311yescharacteristic
366C2×(C2×D11)⋊C4—21no—
367#66977C2311yescharacteristic, complemented
368C2×Dic11⋊C4—21no—
369C2×C4×Dic11—21no—
370C2×#4318C2311yescharacteristic, complemented
371C22×C11⋊C8C2311yescharacteristic, complemented
372#66967—24no—
373#66967—24no—
374#66967—42no—
375SD16×D11—24no—
376SD16×D11—24no—
377#66964—24no—
378#66964—24no—
379#66964—24no—
380#66964—24no—
381#66964—24no—
382#66964—24no—
383#66964—24no—
384#66964—24no—
385#66964—42no—
386#66964D418yescomplemented
387D8×D11—24no—
388D8×D11—24no—
389#66961—24no—
390M16×D11—24no—
391C2×D88C2311yescharacteristic
392C2×D88C2311yescharacteristic, complemented
393C2×D88C2311yescharacteristic, complemented
394C2×#4314—24no—
395C2×#4314C2311yescharacteristic
396C2×#4314C2311yescharacteristic
397C2×#4314C2311yescharacteristic, complemented
398C2×#4314C2311yescharacteristic, complemented
399C2×#4314C2311yescharacteristic, complemented
400C2×#4314C2311yescharacteristic, complemented
401C2×#4313—24no—
402C2×#4313C2311yescharacteristic
403C2×#4313C2311yescharacteristic
404C2×#4313C2311yescharacteristic
405C2×#4313C2311yescharacteristic
406C2×#4313C2311yescharacteristic, complemented
407C2×#4313C2311yescharacteristic, complemented
408C2×C8×D11C2311yescharacteristic, complemented
409C2×C8×D11C2311yescharacteristic, complemented
410#66950C2311yescharacteristic, complemented
411#66949—21no—
412#66949—21no—
413#66948—21no—
414#66948C2311yescharacteristic
415#66948C2311yescharacteristic
416#66948C2311yescharacteristic, complemented
417#66947—21no—
418#66946—21no—
419#66946D411yescharacteristic
420#66946C2311yescharacteristic
421#66945C2311yescharacteristic
422C4⋊C4×D11D411yescharacteristic
423C4⋊C4×D11C2311yescharacteristic
424#66941—21no—
425#66940C2311yescharacteristic, complemented
426#66939—21no—
427#66938—21no—
428#66938—21no—
429#66937—21no—
430#66937—21no—
431#66937—21no—
432#66937—21no—
433#66937—21no—
434#66937—21no—
435#66937—21no—
436#66937—21no—
437#66936—21no—
438#66935—21no—
439#66935—21no—
440#66935—21no—
441#66935—21no—
442#66935—21no—
443#66935—21no—
444#66935—21no—
445#66935—21no—
446(C22⋊D11)⋊C4—21no—
447(C22⋊D11)⋊C4—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)⋊C4—21no—
454(C22⋊D11)⋊C4—21no—
455(C22⋊D11)⋊C4—21no—
456(C22⋊D11)⋊C4D411yescharacteristic
457(C22⋊D11)⋊C4D411yescharacteristic
458C22⋊C4×D11—21no—
459C22⋊C4×D11—21no—
460C22⋊C4×D11—21no—
461C22⋊C4×D11D411yescharacteristic
462C22⋊C4×D11D411yescharacteristic
463#66931—21no—
464#66931—21no—
465#66930—21no—
466#66928C2311yescharacteristic, complemented
467#66927C2311yescharacteristic
468C4×D44C2311yescharacteristic
469C4×D44C2311yescharacteristic
470C42×D11C2311yescharacteristic
471C4×Dic22C2311yescharacteristic, complemented
472C11×#106C2311yescharacteristic, complemented
473C11×C4⋊C8C2311yescharacteristic, complemented
474C11×#103C2311yescharacteristic, complemented
475C11×#102C2311yescharacteristic
476C11×#102C2311yescharacteristic, complemented
477C11×#102C2311yescharacteristic, complemented
478C11×#102C2311yescharacteristic, complemented
479C11×#102C2311yescharacteristic, complemented
480C11×C22⋊C8C2311yescharacteristic, complemented
481C11×C22⋊C8C2311yescharacteristic, complemented
482C11×#97C2311yescharacteristic, complemented
483#66899C2311yescharacteristic, complemented
484#66896C2311yescharacteristic
485#66896C2311yescharacteristic, complemented
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(C2×D11)⋊C8C2311yescharacteristic, complemented
496(C2×D11)⋊C8C2311yescharacteristic, complemented
497(C2×D11)⋊C8C2311yescharacteristic, complemented
498(C2×D11)⋊C8C2311yescharacteristic, complemented
499#66882C2311yescharacteristic, complemented
500#66880C2311yescharacteristic, complemented
501#66880C2311yescharacteristic, complemented
502Dic11⋊C8C2311yescharacteristic, complemented
503Dic11⋊C8C2311yescharacteristic, complemented
504C8×Dic11C2311yescharacteristic, complemented
505C8×Dic11C2311yescharacteristic, complemented
506#66874C2311yescharacteristic, complemented
507#66874C2311yescharacteristic, complemented
508#66873C2311yescharacteristic
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—
519C24×C11—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×C11C2411yescharacteristic
541C2×D4×C11—22no—
542C2×D4×C11—22no—
543C2×D4×C11—22no—
544C2×D4×C11—21no—
545C2×D4×C11—21no—
546C2×D4×C11—21no—
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—41no—
554C2×D4×C11—41no—
555C2×D4×C11—41no—
556C2×D4×C11—44no—
557C2×D4×C11C2×D411yescharacteristic
558C2×D4×C11C2411yescharacteristic
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—21no—
591C2×C22⋊D11—21no—
592C2×C22⋊D11—21no—
593C2×C22⋊D11—44no—
594C2×C22⋊D11—44no—
595C2×C22⋊D11—44no—
596C2×C22⋊D11—44no—
597C2×C22⋊D11—44no—
598C2×C22⋊D11—44no—
599C2×C22⋊D11C2×D411yescharacteristic
600C2×C22⋊D11C2×D411yescharacteristic
601C22×Dic11—21no—
602C22×Dic11—21no—
603C22×Dic11—21no—
604C22×Dic11—21no—
605C22×Dic11—21no—
606C22×Dic11—21no—
607C22×Dic11—21no—
608C22×Dic11—44no—
609C22×Dic11C2×D411yescharacteristic
610C22×Dic11C2×D411yescharacteristic
611#4343—22no—
612#4343—22no—
613Q8×D11—22no—
614Q8×D11—41no—
615#4341—22no—
616#4341—22no—
617#4341—22no—
618#4341—22no—
619#4341—22no—
620#4341—41no—
621#4341—41no—
622#4341—44no—
623#4341—44no—
624#4341—44no—
625#4341C2×D414yescomplemented
626D4×D11—24no—
627D4×D11—22no—
628D4×D11—22no—
629D4×D11—22no—
630D4×D11—22no—
631D4×D11—22no—
632D4×D11—22no—
633D4×D11—22no—
634D4×D11—22no—
635D4×D11—22no—
636D4×D11—22no—
637D4×D11—41no—
638D4×D11—41no—
639D4×D11—41no—
640D4×D11—41no—
641D4×D11—41no—
642D4×D11—44no—
643D4×D11—44no—
644D4×D11—44no—
645D4×D11—44no—
646D4×D11—44no—
647D4×D11—44no—
648D4×D11—44no—
649D4×D11—44no—
650D4×D11—44no—
651D4×D11—44no—
652D4×D11—44no—
653D4×D11—44no—
654D4×D11—82no—
655D4×D11C2×D414yescomplemented
656#4339—22no—
657#4339—41no—
658#4339—44no—
659C2×D44—21no—
660C2×D44—21no—
661C2×D44—21no—
662C2×D44—21no—
663C2×D44—22no—
664C2×D44—22no—
665C2×D44—21no—
666C2×D44—21no—
667C2×D44—21no—
668C2×D44—21no—
669C2×D44—41no—
670C2×D44—41no—
671C2×D44—44no—
672C2×D44C2×D411yescharacteristic
673C2×D44C2411yescharacteristic
674C2×D44C2411yescharacteristic
675C2×D44C2411yescharacteristic
676C2×D44C2411yescharacteristic
677C2×C4×D11—22no—
678C2×C4×D11—22no—
679C2×C4×D11—22no—
680C2×C4×D11—22no—
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—44no—
688C2×C4×D11—44no—
689C2×C4×D11C2×D411yescharacteristic
690C2×C4×D11C2×D411yescharacteristic
691C2×C4×D11C2×D411yescharacteristic
692C2×C4×D11C2×D411yescharacteristic
693C2×C4×D11C2×D411yescharacteristic
694C2×C4×D11C2×D411yescharacteristic
695C2×C4×D11C2411yescharacteristic
696C2×C4×D11C2411yescharacteristic
697C2×C4×D11C2411yescharacteristic
698C2×Dic22—22no—
699C2×Dic22—21no—
700C2×Dic22—21no—
701C2×Dic22—41no—
702C2×Dic22C2411yescharacteristic
703C2×Dic22C2411yescharacteristic
704C11×SD16—22no—
705C11×SD16—22no—
706C11×SD16—41no—
707C11×D8—22no—
708C11×D8—22no—
709C11×D8—22no—
710C11×D8—22no—
711C11×D8—41no—
712C11×D8C2×D414yescomplemented
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⋊C4C2×D411yescharacteristic
721C11×C4⋊C4C2411yescharacteristic
722C11×C4⋊C4C2411yescharacteristic
723C11×C22⋊C4—21no—
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×C11C2411yescharacteristic
734C22⋊Dic11—21no—
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—41no—
745#4324—22no—
746#4324—22no—
747#4324—22no—
748#4324—22no—
749#4324—41no—
750#4324C2×D414yescomplemented
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)⋊C4C2×D411yescharacteristic
774(C2×D11)⋊C4C2×D411yescharacteristic
775(C2×D11)⋊C4C2×D411yescharacteristic
776(C2×D11)⋊C4C2×D411yescharacteristic
777C4⋊Dic11—21no—
778C4⋊Dic11C2×D411yescharacteristic
779C4⋊Dic11C2411yescharacteristic
780C4⋊Dic11C2411yescharacteristic
781Dic11⋊C4—21no—
782Dic11⋊C4—21no—
783Dic11⋊C4—21no—
784Dic11⋊C4—21no—
785Dic11⋊C4—21no—
786Dic11⋊C4—21no—
787Dic11⋊C4—21no—
788Dic11⋊C4C2×D411yescharacteristic
789Dic11⋊C4C2×D411yescharacteristic
790C4×Dic11—21no—
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—41no—
805#4314—22no—
806#4314—22no—
807#4314—22no—
808#4314—22no—
809#4314—41no—
810#4314C2×D414yescomplemented
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#3265—111no—
835#3264—111no—
836#3264—111no—
837#3264—111no—
838#3264D1111yescharacteristic, complemented
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—21no—
855C23×C11—42no—
856C23×C11—42no—
857C23×C11—42no—
858C23×C11—42no—
859C23×C11—42no—
860C23×C11—42no—
861C23×C11—81no—
862C23×C11—81no—
863C23×C11—81no—
864C23×C11C22×D411yescharacteristic
865C23×C11C22×D411yescharacteristic
866C22×D11—22no—
867C22×D11—21no—
868C22×D11—22no—
869C22×D11—22no—
870C22×D11—24no—
871C22×D11—22no—
872C22×D11—21no—
873C22×D11—21no—
874C22×D11—21no—
875C22×D11—41no—
876C22×D11—41no—
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—42no—
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—
913D4×C11—22no—
914D4×C11—21no—
915D4×C11—21no—
916D4×C11—21no—
917D4×C11—21no—
918D4×C11—21no—
919D4×C11—21no—
920D4×C11—21no—
921D4×C11—21no—
922D4×C11—42no—
923D4×C11—42no—
924D4×C11—42no—
925D4×C11—42no—
926D4×C11—42no—
927D4×C11—42no—
928D4×C11—42no—
929D4×C11—81no—
930D4×C11—81no—
931D4×C11C22×D412yes—
932D4×C11C22×D412yescomplemented
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—42no—
941C2×C4×C11—42no—
942C2×C4×C11—81no—
943C2×C4×C11C22×D411yescharacteristic
944C2×C4×C11C22×D411yescharacteristic
945C2×C4×C11C22×D411yescharacteristic
946C2×C4×C11C22×D411yescharacteristic
947C2×C4×C11C2511yescharacteristic
948C22⋊D11—24no—
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—42no—
968C22⋊D11—42no—
969C22⋊D11—42no—
970C22⋊D11—42no—
971C22⋊D11—81no—
972C22⋊D11—81no—
973C22⋊D11—81no—
974C22⋊D11AGL(1,ℤ/8)14yescomplemented
975C2×Dic11—21no—
976C2×Dic11—22no—
977C2×Dic11—22no—
978C2×Dic11—24no—
979C2×Dic11—21no—
980C2×Dic11—21no—
981C2×Dic11—21no—
982C2×Dic11—42no—
983C2×Dic11—42no—
984C2×Dic11—42no—
985C2×Dic11—42no—
986C2×Dic11—42no—
987C2×Dic11—42no—
988C2×Dic11C22×D411yescharacteristic
989C2×Dic11C22×D411yescharacteristic
990C2×Dic11C22×D411yescharacteristic
991C2×Dic11C22×D411yescharacteristic
992C2×Dic11C22×D411yescharacteristic
993D44—22no—
994D44—21no—
995D44—21no—
996D44—21no—
997D44—21no—
998D44—21no—
999D44—21no—
1000D44—21no—
1001D44—42no—
1002D44—42no—
1003D44—42no—
1004D44—42no—
1005D44—42no—
1006D44—42no—
1007D44—81no—
1008D44—81no—
1009D44C22×D412yes—
1010C4×D11—22no—
1011C4×D11—22no—
1012C4×D11—21no—
1013C4×D11—21no—
1014C4×D11—21no—
1015C4×D11—21no—
1016C4×D11—22no—
1017C4×D11—22no—
1018C4×D11—22no—
1019C4×D11—41no—
1020C4×D11—42no—
1021C4×D11—42no—
1022C4×D11—42no—
1023C4×D11—42no—
1024C4×D11—42no—
1025C4×D11—42no—
1026C4×D11C22×D412yes—
1027C4×D11H(5,𝔽2)12yes—
1028Dic22—21no—
1029Dic22—21no—
1030Dic22—21no—
1031Dic22—42no—
1032Dic22—42no—
1033Dic22C22×D412yescomplemented
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×SD16—111no—
1070C22×D8—111no—
1071C22×D8—111no—
1072C22×D8—111no—
1073C22×D8C2×D1111yescharacteristic, complemented
1074C22×M16—111no—
1075C22×M16—111no—
1076#550—111no—
1077D4×Q8—111no—
1078#548—111no—
1079#548—111no—
1080#547—111no—
1081#547—221no—
1082#546—111no—
1083#546—221no—
1084#546—221no—
1085#546C2×D1111yescharacteristic, complemented
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#469C2×D1111yescharacteristic, complemented
1128#468—111no—
1129#468—111no—
1130#468—111no—
1131#468—111no—
1132#466—111no—
1133#466—111no—
1134#466—111no—
1135#466—111no—
1136#465—111no—
1137#465—111no—
1138#465—111no—
1139#465C2×D1111yescharacteristic, complemented
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#460—111no—
1150#459—111no—
1151#459—111no—
1152#459—111no—
1153#459—111no—
1154#459—111no—
1155#459C2×D1111yescharacteristic, complemented
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#448—111no—
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#447C2×D1111yescharacteristic, complemented
1187#447C2×D1111yescharacteristic, complemented
1188#442—111no—
1189#442C2×D1111yescharacteristic, complemented
1190#440—111no—
1191#440—111no—
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—22no—
1221C22×C11—21no—
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—41no—
1233C22×C11—41no—
1234C22×C11—41no—
1235C22×C11—84no—
1236C22×C11—84no—
1237C22×C11—84no—
1238C22×C11C2×AGL(1,ℤ/8)12yescomplemented
1239C22×C11C23×D411yescharacteristic
1240C2×D11—21no—
1241C2×D11—21no—
1242C2×D11—21no—
1243C2×D11—21no—
1244C2×D11—21no—
1245C2×D11—22no—
1246C2×D11—21no—
1247C2×D11—21no—
1248C2×D11—44no—
1249C2×D11—44no—
1250C2×D11—48no—
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—41no—
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—21no—
1277C4×C11—41no—
1278C4×C11—41no—
1279C4×C11—41no—
1280C4×C11C23×D411yescharacteristic
1281C4×C11C2×H(5,𝔽2)11yescharacteristic
1282Dic11—21no—
1283Dic11—22no—
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×Q8—111no—
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—221no—
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—224no—
1332C22×D4—224no—
1333C22×D4—221no—
1334C22×D4—221no—
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—442no—
1345C22×D4—442no—
1346C22×D4—448no—
1347C22×D4C22×D1111yescharacteristic
1348C22×D4C22×D1111yescharacteristic
1349C22×D4C22×D1111yescharacteristic, complemented
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—111no—
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—111no—
1386C2×SD16—111no—
1387C2×SD16—224no—
1388C2×SD16—224no—
1389C2×SD16—224no—
1390C2×SD16—224no—
1391C2×SD16C22×D1111yescharacteristic
1392C2×SD16C22×D1111yescharacteristic, complemented
1393C2×SD16C22×D1111yescharacteristic, complemented
1394C2×D8—24no—
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—224no—
1408C2×D8—224no—
1409C2×D8—224no—
1410C2×D8C22×D1111yescharacteristic
1411C2×D8C22×D1111yescharacteristic
1412C2×D8C22×D1111yescharacteristic, complemented
1413C2×D8C22×D1111yescharacteristic, complemented
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—111no—
1441#124—221no—
1442#124—221no—
1443#124C22×D1111yescharacteristic, complemented
1444#123—21no—
1445#123—221no—
1446#123—221no—
1447#123—221no—
1448#123—221no—
1449#123—221no—
1450C22⋊Q8—111no—
1451C22⋊Q8—111no—
1452C22⋊Q8—111no—
1453C22⋊Q8—221no—
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—21no—
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×Q8—111no—
1516C4×D4—111no—
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—221no—
1528C4×D4—221no—
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×D4C22×D1111yescharacteristic
1542C4×D4C22×D1111yescharacteristic
1543C4×D4C22×D1111yescharacteristic, complemented
1544#117—111no—
1545#117—221no—
1546C2×C4⋊C4—111no—
1547C2×C4⋊C4—111no—
1548C2×C4⋊C4—221no—
1549C2×C22⋊C4—21no—
1550C2×C22⋊C4—111no—
1551C2×C22⋊C4—111no—
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#107—111no—
1560#106—111no—
1561#106C22×D1111yescharacteristic, complemented
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#103—111no—
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#102C22×D1111yescharacteristic
1586#102C22×D1111yescharacteristic, complemented
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—42no—
1606C2×C11—81no—
1607C2×C11—81no—
1608C2×C11—81no—
1609C2×C11C2×D4211yescharacteristic
1610C2×C11C22×AGL(1,ℤ/8)11yescharacteristic
1611C2×C11#358511yescharacteristic
1612D11—22no—
1613D11—22no—
1614D11—41no—
1615D11—42no—
1616D11—81no—
1617D11—81no—
1618D11—81no—
1619C24—21no—
1620C24—21no—
1621C24—21no—
1622C24—111no—
1623C24—111no—
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—111no—
1659C2×Q8—111no—
1660C2×Q8—221no—
1661C2×Q8—222no—
1662C2×Q8—221no—
1663C2×Q8—222no—
1664C2×Q8—441no—
1665C2×Q8—441no—
1666C2×Q8C23×D1111yescharacteristic
1667C2×D4—22no—
1668C2×D4—22no—
1669C2×D4—22no—
1670C2×D4—21no—
1671C2×D4—21no—
1672C2×D4—21no—
1673C2×D4—21no—
1674C2×D4—21no—
1675C2×D4—21no—
1676C2×D4—21no—
1677C2×D4—21no—
1678C2×D4—21no—
1679C2×D4—41no—
1680C2×D4—41no—
1681C2×D4—41no—
1682C2×D4—44no—
1683C2×D4—111no—
1684C2×D4—114no—
1685C2×D4—111no—
1686C2×D4—111no—
1687C2×D4—111no—
1688C2×D4—111no—
1689C2×D4—111no—
1690C2×D4—111no—
1691C2×D4—222no—
1692C2×D4—222no—
1693C2×D4—221no—
1694C2×D4—221no—
1695C2×D4—221no—
1696C2×D4—221no—
1697C2×D4—222no—
1698C2×D4—222no—
1699C2×D4—222no—
1700C2×D4—222no—
1701C2×D4—222no—
1702C2×D4—221no—
1703C2×D4—221no—
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—224no—
1717C2×D4—222no—
1718C2×D4—222no—
1719C2×D4—221no—
1720C2×D4—222no—
1721C2×D4—222no—
1722C2×D4—222no—
1723C2×D4—221no—
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—444no—
1740C2×D4—441no—
1741C2×D4—441no—
1742C2×D4—441no—
1743C2×D4—441no—
1744C2×D4—441no—
1745C2×D4—444no—
1746C2×D4—444no—
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—882no—
1764C2×D4D4×D1111yescharacteristic
1765C2×D4C23×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—222no—
1785C22×C4—222no—
1786C22×C4—222no—
1787C22×C4—222no—
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×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—41no—
1809SD16—114no—
1810SD16—114no—
1811SD16—222no—
1812SD16—222no—
1813SD16—222no—
1814SD16—222no—
1815SD16—222no—
1816SD16—222no—
1817SD16—222no—
1818SD16—222no—
1819SD16—222no—
1820SD16—222no—
1821SD16—441no—
1822SD16—441no—
1823SD16—441no—
1824D8—22no—
1825D8—22no—
1826D8—22no—
1827D8—22no—
1828D8—41no—
1829D8—114no—
1830D8—222no—
1831D8—222no—
1832D8—222no—
1833D8—222no—
1834D8—222no—
1835D8—222no—
1836D8—222no—
1837D8—222no—
1838D8—441no—
1839D8—441no—
1840D8—441no—
1841D8D4×D1114yescomplemented
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—111no—
1864C4⋊C4—111no—
1865C4⋊C4—111no—
1866C4⋊C4—111no—
1867C4⋊C4—111no—
1868C4⋊C4—221no—
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—21no—
1887C22⋊C4—111no—
1888C22⋊C4—111no—
1889C22⋊C4—111no—
1890C22⋊C4—111no—
1891C22⋊C4—111no—
1892C22⋊C4—111no—
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—111no—
1915C42—111no—
1916C42—111no—
1917C42—221no—
1918C42—221no—
1919C42—221no—
1920C42C23×D1111yescharacteristic
1921C11D4×AGL(1,ℤ/8)11yescharacteristic, complemented, Sylow
1922C23—21no—
1923C23—21no—
1924C23—21no—
1925C23—21no—
1926C23—21no—
1927C23—42no—
1928C23—42no—
1929C23—42no—
1930C23—42no—
1931C23—42no—
1932C23—42no—
1933C23—81no—
1934C23—81no—
1935C23—81no—
1936C23—111no—
1937C23—111no—
1938C23—111no—
1939C23—222no—
1940C23—222no—
1941C23—224no—
1942C23—222no—
1943C23—222no—
1944C23—221no—
1945C23—221no—
1946C23—221no—
1947C23—221no—
1948C23—441no—
1949C23—441no—
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—442no—
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—112no—
1986Q8—221no—
1987Q8—221no—
1988Q8—221no—
1989Q8—442no—
1990Q8—442no—
1991D4—22no—
1992D4—21no—
1993D4—21no—
1994D4—21no—
1995D4—21no—
1996D4—21no—
1997D4—21no—
1998D4—21no—
1999D4—21no—
2000D4—42no—
2001D4—42no—
2002D4—42no—
2003D4—42no—
2004D4—42no—
2005D4—42no—
2006D4—42no—
2007D4—81no—
2008D4—81no—
2009D4—114no—
2010D4—112no—
2011D4—222no—
2012D4—224no—
2013D4—222no—
2014D4—224no—
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—
2053D4C2×D4×D1112yes—
2054D4C2×D4×D1112yescomplemented
2055C2×C4—21no—
2056C2×C4—21no—
2057C2×C4—21no—
2058C2×C4—21no—
2059C2×C4—21no—
2060C2×C4—21no—
2061C2×C4—21no—
2062C2×C4—42no—
2063C2×C4—42no—
2064C2×C4—81no—
2065C2×C4—111no—
2066C2×C4—111no—
2067C2×C4—112no—
2068C2×C4—112no—
2069C2×C4—111no—
2070C2×C4—111no—
2071C2×C4—111no—
2072C2×C4—222no—
2073C2×C4—222no—
2074C2×C4—222no—
2075C2×C4—222no—
2076C2×C4—222no—
2077C2×C4—222no—
2078C2×C4—222no—
2079C2×C4—224no—
2080C2×C4—221no—
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—442no—
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—22no—
2118C22—22no—
2119C22—21no—
2120C22—21no—
2121C22—41no—
2122C22—41no—
2123C22—41no—
2124C22—41no—
2125C22—41no—
2126C22—41no—
2127C22—41no—
2128C22—41no—
2129C22—41no—
2130C22—41no—
2131C22—41no—
2132C22—41no—
2133C22—41no—
2134C22—84no—
2135C22—84no—
2136C22—84no—
2137C22—112no—
2138C22—112no—
2139C22—221no—
2140C22—221no—
2141C22—221no—
2142C22—221no—
2143C22—221no—
2144C22—222no—
2145C22—221no—
2146C22—221no—
2147C22—444no—
2148C22—444no—
2149C22—448no—
2150C22—441no—
2151C22—441no—
2152C22—441no—
2153C22—441no—
2154C22—441no—
2155C22—441no—
2156C22—441no—
2157C22—441no—
2158C22—441no—
2159C22—441no—
2160C22—441no—
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—21no—
2176C4—41no—
2177C4—41no—
2178C4—41no—
2179C4—112no—
2180C4—112no—
2181C4—221no—
2182C4—221no—
2183C4—222no—
2184C4—221no—
2185C4—441no—
2186C4—441no—
2187C4—441no—
2188C4C22×D4×D1111yescharacteristic
2189C4D11×H(5,𝔽2)11yescharacteristic
2190C2—22no—
2191C2—41no—
2192C2—42no—
2193C2—42no—
2194C2—81no—
2195C2—81no—
2196C2—81no—
2197C2—222no—
2198C2—222no—
2199C2—441no—
2200C2—442no—
2201C2—881no—
2202C2—881no—
2203C2—881no—
2204C2D42×D1111yescharacteristic
2205C2C2×D11×AGL(1,ℤ/8)11yescharacteristic
2206C2#1308339111yescharacteristic
subgroupG/H
centerC22C22×D4×D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3264C2
socleC22×C11C23×D4
hypercenter#3264D11
hypocenterC11D4×AGL(1,ℤ/8)
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ C4×D4 ◁ #3264

Complements

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

NH ≅ G/Ntype
1. C22×#66964C2semidirect
2. C2×D11×AGL(1,ℤ/8)C2semidirect
3. #13082100C2semidirect
4. D42×D11C2semidirect
5. #13080310C2semidirect
6. #13080309C2semidirect
7. D8×C22⋊D11C2semidirect
8. #13080286C2semidirect
9. #13080234C2semidirect
10. #13080233C2semidirect
11. #13080210C2semidirect
12. #13080209C2semidirect
13. #13080117C2semidirect
14. #13080116C2semidirect
15. #13080110C2semidirect
16. #13080107C2semidirect
17. #13080098C2semidirect
18. #13080097C2semidirect
19. #13080091C2semidirect
20. #13079065C2semidirect
21. #13078234C2semidirect
22. #13078228C2semidirect
23. #13078091C2semidirect
24. #13078078C2semidirect
25. #13077865C2semidirect
26. #13077863C2semidirect
27. #13077844C2semidirect
28. #13077840C2semidirect
29. #13077427C2semidirect
30. #13077349C2semidirect
31. C11×#3264C2semidirect
32. C2×#41×D11C22semidirect
33. C22×#4341C22semidirect
35. C22×D4×D11C22semidirect
36. C22×D4×D11C22semidirect
37. C2×C11×AGL(1,ℤ/8)C22semidirect
38. C22×C11×D8C22semidirect
39. C11×#546C22semidirect
40. D42×C11C22semidirect
41. #10623355C22semidirect
42. C2×#67002C22semidirect
45. D4×C22⋊D11C22semidirect
46. D4×C22⋊D11C22semidirect
47. C22×#4324C22semidirect
48. C2×#66985C22semidirect
49. C22×#4323C22semidirect
51. C2×#66967C22semidirect
52. C2×#66967C22semidirect
53. C2×#66967C22semidirect
54. C2×SD16×D11C22semidirect
55. C2×SD16×D11C22semidirect
58. C2×#66964C22semidirect
59. C2×#66964C22semidirect
60. C2×#66964C22semidirect
61. C2×#66964C22semidirect
62. C2×#66964C22semidirect
63. C2×#66964C22semidirect
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×#4314C22semidirect
72. C22×#4313C22semidirect
73. #10623248C22semidirect
74. D11×#127C22semidirect
75. #10623208C22semidirect
76. #10623199C22semidirect
79. #10623163C22semidirect
80. #10623158C22semidirect
84. #10623140C22semidirect
85. #10623137C22semidirect
87. D11×#121C22semidirect
88. D11×#121C22semidirect
89. #10623130C22semidirect
97. #10623085C22semidirect
98. #10623083C22semidirect
99. D4×D44C22semidirect
100. D4×D44C22semidirect
102. C4×D4×D11C22semidirect
103. C4×#4341C22semidirect
106. C11×#496C22semidirect
107. C11×#469C22semidirect
108. C11×#465C22semidirect
109. C11×#463C22semidirect
110. C11×#459C22semidirect
111. C11×#450C22semidirect
112. C11×#449C22semidirect
113. C11×#447C22semidirect
114. C11×#447C22semidirect
115. C11×#442C22semidirect
116. C11×#435C22semidirect
117. #10622851C22semidirect
118. #10622831C22semidirect
119. #10622830C22semidirect
120. #10622830C22semidirect
121. #10622788C22semidirect
122. #10622788C22semidirect
123. #10622787C22semidirect
124. #10622783C22semidirect
125. #10622782C22semidirect
126. #10622782C22semidirect
127. #10622775C22semidirect
128. #10622771C22semidirect
129. #10622771C22semidirect
130. #10622770C22semidirect
131. #10622769C22semidirect
132. #10622769C22semidirect
133. #10622769C22semidirect
134. #10622764C22semidirect
135. #10622764C22semidirect
136. #10622763C22semidirect
137. #10622763C22semidirect
138. #10622763C22semidirect
139. D8×Dic11C22semidirect
140. #10622747C22semidirect
141. #10622741C22semidirect
142. #10622728C22semidirect
143. C8×C22⋊D11C22semidirect
144. #10622688C22semidirect
145. #10622687C22semidirect
146. #10622671C22semidirect
147. #10622670C22semidirect
148. #10622661C22semidirect
149. #10622659C22semidirect
150. #10622655C22semidirect
151. #10622653C22semidirect
152. #10622652C22semidirect
153. #10622651C22semidirect
154. #10622650C22semidirect
155. #10622649C22semidirect
156. #10622631C22semidirect
157. #10622629C22semidirect
158. #10622628C22semidirect
159. #10622627C22semidirect
160. #10622624C22semidirect
161. #10622478C22semidirect
162. #10622477C22semidirect
163. #10622474C22semidirect
164. #10622465C22semidirect
165. #10622461C22semidirect
166. #10622457C22semidirect
167. #10622450C22semidirect
168. #10622449C22semidirect
169. #10622431C22semidirect
170. #10622425C22semidirect
171. #10622419C22semidirect
172. #10622416C22semidirect
173. #10622399C22semidirect
174. #10622395C22semidirect
175. #10622394C22semidirect
176. #10622394C22semidirect
177. #10622391C22semidirect
178. #10622389C22semidirect
179. #10622389C22semidirect
180. #10622388C22semidirect
181. #10622386C22semidirect
182. #10622386C22semidirect
183. #10622386C22semidirect
184. #10622384C22semidirect
185. #10622384C22semidirect
186. #10622383C22semidirect
187. #10622383C22semidirect
188. #10622383C22semidirect
189. #10622375C22semidirect
190. #10622375C22semidirect
191. #10622371C22semidirect
192. #10622369C22semidirect
193. #10622351C22semidirect
194. #10622347C22semidirect
195. #10622345C22semidirect
196. #10622344C22semidirect
197. #10622342C22semidirect
198. #10622339C22semidirect
199. #10622339C22semidirect
200. (C22⋊D11)⋊C8C22semidirect
201. #10622325C22semidirect
202. #10622323C22semidirect
203. #10622320C22semidirect
204. #10622319C22semidirect
207. C2×C11×#41C23semidirect
211. C22×D4×C11C23semidirect
222. C2×Q8×D11C23semidirect
230. C2×#4341C23semidirect
231. C2×#4341C23semidirect
258. C2×D4×D11C23semidirect
260. C2×#4339C23semidirect
268. C22×Dic22C23semidirect
271. C2×C11×SD16C23semidirect
272. C2×C11×SD16C23semidirect
276. C2×C11×D8C23semidirect
277. C2×C11×D8C23semidirect
278. C2×C11×D8C23semidirect
279. C2×C11×D8C23semidirect
280. C2×C11×M16C23semidirect
281. C22×C8×C11C23semidirect
283. C11×#124C23semidirect
285. C11×C22⋊Q8C23semidirect
290. C11×#121C23semidirect
296. C4×D4×C11C23semidirect
302. #66999C23semidirect
303. #66997C23semidirect
305. C2×#4325C23semidirect
306. C2×#4325C23semidirect
312. #66993C23semidirect
324. #66991C23semidirect
337. D4×Dic11C23semidirect
341. C2×#4324C23semidirect
342. C2×#4324C23semidirect
343. C2×#4324C23semidirect
344. C2×#4324C23semidirect
350. C2×#4323C23semidirect
351. C2×#4323C23semidirect
352. C2×#4323C23semidirect
353. C2×#4323C23semidirect
354. C2×#4323C23semidirect
355. C2×#4323C23semidirect
360. #66983C23semidirect
367. #66977C23semidirect
370. C2×#4318C23semidirect
371. C22×C11⋊C8C23semidirect
386. #66964D4semidirect
392. C2×D88C23semidirect
393. C2×D88C23semidirect
397. C2×#4314C23semidirect
398. C2×#4314C23semidirect
399. C2×#4314C23semidirect
400. C2×#4314C23semidirect
406. C2×#4313C23semidirect
407. C2×#4313C23semidirect
408. C2×C8×D11C23semidirect
409. C2×C8×D11C23semidirect
410. #66950C23semidirect
416. #66948C23semidirect
425. #66940C23semidirect
466. #66928C23semidirect
471. C4×Dic22C23semidirect
472. C11×#106C23semidirect
473. C11×C4⋊C8C23semidirect
474. C11×#103C23semidirect
476. C11×#102C23semidirect
477. C11×#102C23semidirect
478. C11×#102C23semidirect
479. C11×#102C23semidirect
480. C11×C22⋊C8C23semidirect
481. C11×C22⋊C8C23semidirect
482. C11×#97C23semidirect
483. #66899C23semidirect
485. #66896C23semidirect
486. #66896C23semidirect
487. #66896C23semidirect
488. #66896C23semidirect
489. C22⋊(C11⋊C8)C23semidirect
490. C22⋊(C11⋊C8)C23semidirect
492. #66885C23semidirect
493. #66885C23semidirect
494. #66885C23semidirect
495. (C2×D11)⋊C8C23semidirect
496. (C2×D11)⋊C8C23semidirect
497. (C2×D11)⋊C8C23semidirect
498. (C2×D11)⋊C8C23semidirect
499. #66882C23semidirect
500. #66880C23semidirect
501. #66880C23semidirect
502. Dic11⋊C8C23semidirect
503. Dic11⋊C8C23semidirect
504. C8×Dic11C23semidirect
505. C8×Dic11C23semidirect
506. #66874C23semidirect
507. #66874C23semidirect
509. #66873C23semidirect
510. #66873C23semidirect
511. #66873C23semidirect
512. #66872C23semidirect
513. #66871C23semidirect
514. C4⋊(C11⋊C8)C23semidirect
515. #66867C23semidirect
625. #4341C2×D4semidirect
655. D4×D11C2×D4semidirect
712. C11×D8C2×D4semidirect
750. #4324C2×D4semidirect
759. #4323C2×D4semidirect
810. #4314C2×D4semidirect
816. #4313C2×D4semidirect
838. #3264D11semidirect
932. D4×C11C22×D4semidirect
974. C22⋊D11AGL(1,ℤ/8)semidirect
1033. Dic22C22×D4semidirect
1037. C8×C11C22×D4semidirect
1041. C11⋊C8C22×D4semidirect
1065. C2×AGL(1,ℤ/8)C2×D11semidirect
1073. C22×D8C2×D11semidirect
1085. #546C2×D11semidirect
1099. D42C2×D11semidirect
1119. #496C2×D11semidirect
1127. #469C2×D11semidirect
1139. #465C2×D11semidirect
1143. #463C2×D11semidirect
1155. #459C2×D11semidirect
1163. #450C2×D11semidirect
1171. #449C2×D11semidirect
1186. #447C2×D11semidirect
1187. #447C2×D11semidirect
1189. #442C2×D11semidirect
1201. #435C2×D11semidirect
1238. 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
1349. C22×D4C22×D11semidirect
1392. C2×SD16C22×D11semidirect
1393. C2×SD16C22×D11semidirect
1412. C2×D8C22×D11semidirect
1413. C2×D8C22×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
1543. C4×D4C22×D11semidirect
1561. #106C22×D11semidirect
1565. C4⋊C8C22×D11semidirect
1571. #103C22×D11semidirect
1586. #102C22×D11semidirect
1587. #102C22×D11semidirect
1588. #102C22×D11semidirect
1589. #102C22×D11semidirect
1596. C22⋊C8C22×D11semidirect
1597. C22⋊C8C22×D11semidirect
1599. #97C22×D11semidirect
1841. D8D4×D11semidirect
1921. C11D4×AGL(1,ℤ/8)semidirect
2054. D4C2×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×#669642
C2×D11×AGL(1,ℤ/8)2
#130821002
D42×D112
#130803102
#130803092
D8×C22⋊D112
#130802862
#130802342
#130802332
#130802102
#130802092
#130801172
#130801162
#130801102
#130801072
#130800982
#130800972
#130800912
#130790652
#130782342
#130782282
#130780912
#130780782
#130778652
#130778632
#130778442
#130778402
#130774272
#130773492
C11×#32642
D4×AGL(1,ℤ/8)11