Finite Group Databasebeta

← #41×#4341 #15660879

Subgroups — #41×#4341 #15660879

Order 2816.

7812 conjugacy classes of subgroups.

The subgroup lattice has 1380 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082239C211yesmaximal, characteristic, complemented
2#13082237C211yesmaximal, characteristic, complemented
3#13082232C212yesmaximal, complemented
4#13082228C213yesmaximal, complemented
5#13082221C216yesmaximal, complemented
6#13082217C213yesmaximal, complemented
7#13082215C211yesmaximal, characteristic, complemented
8#13082213C213yesmaximal, complemented
9#13082206C212yesmaximal, complemented
10#41×Dic22C211yesmaximal, characteristic, complemented
11Q8×#4341C211yesmaximal, characteristic, complemented
12#13082179C213yesmaximal, complemented
13#13082176C216yesmaximal, complemented
14#13082174C213yesmaximal, complemented
15#13082167C216yesmaximal, complemented
16#41×C22⋊D11C212yesmaximal, complemented
17D4×#4341C213yesmaximal, complemented
18#13081911C213yesmaximal, complemented
19#13081908C216yesmaximal, complemented
20C2×#41×Dic11C212yesmaximal, complemented
21C2×C4×#4341C213yesmaximal, complemented
22C4×#41×D11C211yesmaximal, characteristic, complemented
23D4×C11×#41C211yesmaximal, characteristic, complemented
24C22×C11×#41C2212yes—
25C2×#41×D11C2211yescharacteristic
26C22×#4341C2213yes—
27C11×#550C2211yescharacteristic, complemented
28D4×Q8×C11C2211yescharacteristic, complemented
29C11×#548C2212yescomplemented
30C11×#547C2213yescomplemented
31C11×#546C2216yescomplemented
32D42×C11C2213yescomplemented
33C11×#532C2213yescomplemented
34C11×#525C2216yescomplemented
35C4×C11×#41C2211yescharacteristic
36C2×C4×D4×C11C2213yescomplemented
37#10623365C2212yescomplemented
38#10623363C2216yescomplemented
39#10623362C2212yescomplemented
40#10623360C2216yescomplemented
41#10623359C2216yescomplemented
42#41×Dic11C2212yes—
43#41×Dic11C2211yescharacteristic
44#41×Dic11C2216yescomplemented
45#41×Dic11C2216yescomplemented
46#41×Dic11C2216yescomplemented
47#41×Dic11C2212yescomplemented
48#41×Dic11C2216yescomplemented
49#41×Dic11C2212yescomplemented
50#10623355C2216yescomplemented
51#10623348C2212yescomplemented
52Q8×C22⋊D11C2212yescomplemented
53C2×Q8×Dic11C2212yescomplemented
54C2×Q8×Dic11C2212yescomplemented
55#10623337C2216yescomplemented
56#10623337C2216yescomplemented
57D4×C22⋊D11C2216yescomplemented
58C2×D4×Dic11C2216yescomplemented
59C2×D4×Dic11C2213yescomplemented
60C2×D4×Dic11C2216yescomplemented
61#10623322C2216yescomplemented
62C2×C4×C22⋊D11C2216yescomplemented
63C2×#66979C2216yescomplemented
64C22×C4×Dic11C2216yescomplemented
65#10623263C2213yescomplemented
66#10623259C2213yescomplemented
67#10623259C2213yescomplemented
68#10623252C2213yescomplemented
69#10623249C2213yescomplemented
70#10623247C2213yescomplemented
71#10623247C2213yescomplemented
72#10623244C2213yescomplemented
73#10623212C2216yescomplemented
74#10623211C2216yescomplemented
75#10623211C2216yescomplemented
76#10623202C2216yescomplemented
77#10623189C22112yescomplemented
78#10623181C22112yescomplemented
79#10623180C22112yescomplemented
80#10623180C22112yescomplemented
81#10623173C2216yescomplemented
82#10623172C2216yescomplemented
83#10623170C2216yescomplemented
84#10623166C2216yescomplemented
85#10623155C2216yescomplemented
86#10623155C2216yescomplemented
87#10623153C2216yescomplemented
88#10623153C2216yescomplemented
89#10623149C2216yescomplemented
90#10623149C2216yescomplemented
91#10623147C2216yescomplemented
92#10623145C2216yescomplemented
93#10623142C2216yescomplemented
94#10623137C2216yescomplemented
95#10623137C2216yescomplemented
96#10623132C22112yescomplemented
97#10623131C2216yescomplemented
98#10623131C2216yescomplemented
99#10623131C2216yescomplemented
100#10623131C2216yescomplemented
101#10623129C2216yescomplemented
102#10623127C2216yescomplemented
103#10623127C2216yescomplemented
104#10623122C22112yescomplemented
105#10623118C22112yescomplemented
106#10623117C22112yescomplemented
107#10623117C22112yescomplemented
108C4×#4343C2211yescharacteristic, complemented
109C4×#4343C2211yescharacteristic, complemented
110C4×Q8×D11C2211yescharacteristic, complemented
111C4×Q8×D11C2211yescharacteristic, complemented
112#10623101C2211yescharacteristic, complemented
113#10623100C2212yescomplemented
114Q8×Dic22C2211yescharacteristic, complemented
115#10623096C2216yescomplemented
116#10623094C2213yescomplemented
117#10623088C2216yescomplemented
118#10623088C2216yescomplemented
119#10623086C2213yescomplemented
120C4×D4×D11C2213yescomplemented
121C4×D4×D11C2213yescomplemented
122#10623074C2213yescomplemented
123#10623074C2213yescomplemented
124#10623073C2213yescomplemented
125#10623072C2216yescomplemented
126#10623070C2216yescomplemented
127#10623069C22112yescomplemented
128#10623069C22112yescomplemented
129D4×Dic22C2213yescomplemented
130C4×#4341C2213yes—
131C4×#4341C2211yescharacteristic
132C4×#4341C2216yescomplemented
133C4×#4341C2216yescomplemented
134C4×#4341C2213yescomplemented
135C4×#4341C2213yescomplemented
136C4×#4341C2216yescomplemented
137C4×#4341C2213yescomplemented
138C4×#4341C2216yescomplemented
139C4×#4341C2213yescomplemented
140C4×#4341C2213yescomplemented
141C4×#4341C2213yescomplemented
142C4×#4341C2213yescomplemented
143C4×#4341C2216yescomplemented
144C4×#4341C2213yescomplemented
145#10623053C2213yescomplemented
146D11×#117C2213yescomplemented
147#10623048C2216yescomplemented
148#10623044C2216yescomplemented
149C2×#66945C2213yescomplemented
150C2×#66940C2213yescomplemented
151#10623026C22112yescomplemented
152C2×(C22⋊D11)⋊C4C2216yescomplemented
153C2×#66930C2216yescomplemented
154C4×#4339C2213yescomplemented
155C2×C42×D11C2213yescomplemented
156#10623001C2213yescomplemented
157C2×C4×Dic22C2213yescomplemented
158C2×C11×#41—216no—
159C2×C11×#41C2316yes—
160C2×C11×#41C2316yes—
161C2×C11×#41C2312yes—
162C2×C11×#41C2311yescharacteristic
163C22×Q8×C11C2312yes—
164C22×D4×C11C2316yes—
165C22×D4×C11C2313yes—
166C23×C4×C11C2316yes—
167C22×C22⋊D11C2316yes—
168C23×Dic11C2316yes—
169C23×Dic11C2316yes—
170#41×D11—28no—
171C2×#4343C2311yescharacteristic
172C2×Q8×D11C2311yescharacteristic
173C2×#4341—224no—
174C2×#4341C2313yes—
175C2×#4341C2313yes—
176C2×#4341C2313yes—
177C2×#4341C2313yes—
178C2×#4341C2316yes—
179C2×#4341C2316yes—
180C2×#4341C2316yes—
181C2×#4341C2311yescharacteristic
182C2×D4×D11C2313yes—
183C2×#4339C2313yes—
184C22×C4×D11C2313yes—
185C22×C4×D11C2313yes—
186C22×C4×D11C2313yes—
187C22×Dic22C2313yes—
188C11×C4⋊Q8C2313yes—
189C11×#127C2313yes—
190C11×#124C2316yes—
191C11×#123C23112yes—
192C11×C22⋊Q8C2316yes—
193C11×C22⋊Q8C2316yes—
194C11×#121C2316yes—
195C11×#121C2316yes—
196C11×#121C2316yes—
197C11×#121C2316yes—
198C11×#120C23112yes—
199C4×Q8×C11C2311yescharacteristic
200C4×Q8×C11C2311yescharacteristic
201C4×D4×C11C2311yescharacteristic
202C4×D4×C11C2313yes—
203C4×D4×C11C2316yes—
204C4×D4×C11C2316yes—
205C4×D4×C11C2313yes—
206C4×D4×C11C2313yes—
207C4×D4×C11C2313yes—
208C4×D4×C11C2316yes—
209C4×D4×C11C2313yes—
210C11×#117C2313yes—
211C2×C11×C4⋊C4C2313yes—
212C2×C11×C22⋊C4C2316yes—
213C2×C42×C11C2313yes—
214#67006C23112yes—
215C2×C22⋊Dic11C2316yes—
216C2×C22⋊Dic11C23112yes—
217#67000C2316yes—
218#66999C2316yes—
219#66999C2316yes—
220Q8×Dic11C2316yes—
221Q8×Dic11C2316yes—
222Q8×Dic11C2316yes—
223Q8×Dic11C2316yes—
224Q8×Dic11C2311yescharacteristic
225Q8×Dic11C2311yescharacteristic
226Q8×Dic11C2312yes—
227Q8×Dic11C2312yes—
228#66997C2316yes—
229#66993C2316yes—
230#66992C23112yes—
231#66992C23112yes—
232#66992C23112yes—
233#66992C23112yes—
234#66991C2316yes—
235#66991C2316yes—
236#66991C2316yes—
237#66991C2316yes—
238#66990C23112yes—
239#66989C2316yes—
240#66989C2316yes—
241#66989C2316yes—
242#66988C23112yes—
243#66988C23112yes—
244#66988C23112yes—
245D4×Dic11C2313yes—
246D4×Dic11C2316yes—
247D4×Dic11C2313yes—
248D4×Dic11C2316yes—
249D4×Dic11C2316yes—
250D4×Dic11C2316yes—
251D4×Dic11C2316yes—
252D4×Dic11C2311yescharacteristic
253D4×Dic11C2313yes—
254D4×Dic11C2316yes—
255D4×Dic11C2316yes—
256D4×Dic11C2313yes—
257D4×Dic11C2313yes—
258D4×Dic11C2316yes—
259D4×Dic11C2316yes—
260D4×Dic11C23112yes—
261D4×Dic11C23112yes—
262D4×Dic11C23112yes—
263D4×Dic11C23112yes—
264#66983C2316yes—
265#66983C2316yes—
266#66982C23112yes—
267C4×C22⋊D11C2316yes—
268C4×C22⋊D11C2316yes—
269C4×C22⋊D11C2312yes—
270C4×C22⋊D11C2316yes—
271C4×C22⋊D11C2316yes—
272C4×C22⋊D11C2316yes—
273C4×C22⋊D11C2316yes—
274C4×C22⋊D11C2316yes—
275C4×C22⋊D11C2316yes—
276C4×C22⋊D11C2316yes—
277C4×C22⋊D11C23112yes—
278C2×(C2×D11)⋊C4C2316yes—
279#66979C2316yes—
280#66979C2313yes—
281#66979C23112yes—
282#66979C23112yes—
283#66979C2316yes—
284#66979C2316yes—
285C2×C4⋊Dic11C2313yes—
286C2×C4⋊Dic11C2316yes—
287C2×C4⋊Dic11C2316yes—
288#66977C2316yes—
289#66977C2316yes—
290#66977C2316yes—
291#66977C2316yes—
292C2×Dic11⋊C4C2316yes—
293C2×Dic11⋊C4C2316yes—
294C2×C4×Dic11C2316yes—
295C2×C4×Dic11C2313yes—
296C2×C4×Dic11C2313yes—
297C2×C4×Dic11C2313yes—
298C2×C4×Dic11C2316yes—
299C2×C4×Dic11C2316yes—
300C2×C4×Dic11C2312yes—
301C2×C4×Dic11C2316yes—
302C2×C4×Dic11C2316yes—
303C2×C4×Dic11C2316yes—
304C2×C4×Dic11C2316yes—
305C2×C4×Dic11C2316yes—
306C2×C4×Dic11C2316yes—
307C2×C4×Dic11C2316yes—
308#66951C23112yes—
309#66951C23112yes—
310#66950C2316yes—
311#66950C2316yes—
312#66946C2313yes—
313#66946C2313yes—
314#66945C2313yes—
315#66945C2316yes—
316#66945C2313yes—
317#66945C2311yescharacteristic
318#66945C2313yes—
319#66945C2316yes—
320#66945C2316yes—
321#66945C2313yes—
322#66945C2313yes—
323C4⋊C4×D11C2313yes—
324C4⋊C4×D11C2313yes—
325#66943C2316yes—
326#66943C2316yes—
327#66943C2316yes—
328#66943C2316yes—
329#66942C23112yes—
330#66942C23112yes—
331#66941C2316yes—
332#66941C2316yes—
333#66940C2313yes—
334#66940C2313yes—
335#66940C2316yes—
336#66940C2311yescharacteristic
337#66940C2313yes—
338#66940C2316yes—
339#66940C2316yes—
340#66940C2313yes—
341#66940C2313yes—
342#66939C23112yes—
343#66939C23112yes—
344#66938C23112yes—
345#66938C23112yes—
346#66936C23112yes—
347#66936C23112yes—
348(C22⋊D11)⋊C4C2312yes—
349(C22⋊D11)⋊C4C2316yes—
350(C22⋊D11)⋊C4C2316yes—
351(C22⋊D11)⋊C4C2316yes—
352(C22⋊D11)⋊C4C2316yes—
353(C22⋊D11)⋊C4C2316yes—
354(C22⋊D11)⋊C4C2316yes—
355(C22⋊D11)⋊C4C2316yes—
356(C22⋊D11)⋊C4C2316yes—
357(C22⋊D11)⋊C4C2316yes—
358(C22⋊D11)⋊C4C23112yes—
359C22⋊C4×D11C2316yes—
360#66932C23112yes—
361#66932C23112yes—
362#66932C23112yes—
363#66932C23112yes—
364#66931C23112yes—
365#66931C23112yes—
366#66931C23112yes—
367#66931C23112yes—
368#66930C2312yes—
369#66930C2316yes—
370#66930C2316yes—
371#66930C2316yes—
372#66930C2316yes—
373#66930C2316yes—
374#66930C2316yes—
375#66930C2316yes—
376#66930C2316yes—
377#66930C23112yes—
378C4×D44C2313yes—
379C4×D44C2313yes—
380#66925C2316yes—
381C42×D11C2313yes—
382C42×D11C2313yes—
383C42×D11C2311yescharacteristic
384C42×D11C2313yes—
385C42×D11C2313yes—
386C42×D11C2313yes—
387C42×D11C2313yes—
388C42×D11C2313yes—
389#66923C2316yes—
390#66922C2313yes—
391#66922C2313yes—
392C4×Dic22C2313yes—
393C4×Dic22C2313yes—
394C4×Dic22C2313yes—
395C4×Dic22C2311yescharacteristic
396C4×Dic22C2313yes—
397C4×Dic22C2316yes—
398C4×Dic22C2316yes—
399C4×Dic22C2316yes—
400C4×Dic22C2313yes—
401#412—111nomaximal, Sylow
402C24×C11C2416yes—
403C23×D11C2413yes—
404C11×#41—28no—
405C11×#41—224no—
406C11×#41—224no—
407C11×#41#4118yescomplemented
408C2×Q8×C11—28no—
409C2×Q8×C11C2416yes—
410C2×Q8×C11C2411yescharacteristic
411C2×D4×C11—212no—
412C2×D4×C11—224no—
413C2×D4×C11C24112yes—
414C2×D4×C11C2416yes—
415C2×D4×C11C2416yes—
416C2×D4×C11C2413yes—
417C2×D4×C11C2416yes—
418C2×D4×C11C2413yes—
419C2×D4×C11C2411yescharacteristic
420C22×C4×C11—224no—
421C22×C4×C11C2412yes—
422C22×C4×C11C2416yes—
423C22×C4×C11C2416yes—
424C22×C4×C11C2416yes—
425C22×C4×C11C2416yes—
426C22×C4×C11C2413yes—
427C22×C4×C11C2413yes—
428C22×C4×C11C2413yes—
429C2×C22⋊D11—224no—
430C2×C22⋊D11C2416yes—
431C2×C22⋊D11C2416yes—
432C2×C22⋊D11C2416yes—
433C2×C22⋊D11C2416yes—
434C2×C22⋊D11C24112yes—
435C2×C22⋊D11C2412yes—
436C22×Dic11—224no—
437C22×Dic11—412no—
438C22×Dic11C2416yes—
439C22×Dic11C2416yes—
440C22×Dic11C2416yes—
441C22×Dic11C2416yes—
442C22×Dic11C2413yes—
443C22×Dic11C2416yes—
444C22×Dic11C2412yes—
445C22×Dic11C2413yes—
446C22×Dic11C2413yes—
447C22×Dic11C2416yes—
448C22×Dic11C2416yes—
449C22×Dic11C2416yes—
450C22×Dic11C2412yes—
451#4343—24no—
452Q8×D11—24no—
453#4341—224no—
454#4341—224no—
455#4341—212no—
456#4341—212no—
457#4341—212no—
458#4341—212no—
459#4341—412no—
460#4341#4118yesdirect product factor
461D4×D11—212no—
462#4339—212no—
463C2×D44C2413yes—
464C2×C4×D11—212no—
465C2×C4×D11—212no—
466C2×C4×D11—46no—
467C2×C4×D11C2411yescharacteristic
468C2×C4×D11C2411yescharacteristic
469C2×C4×D11C2413yes—
470C2×C4×D11C2413yes—
471C2×C4×D11C2413yes—
472C2×C4×D11C2413yes—
473C2×C4×D11C2413yes—
474C2×C4×D11C2413yes—
475C2×C4×D11C2413yes—
476C2×C4×D11C2413yes—
477C2×C4×D11C2413yes—
478C2×C4×D11C2411yescharacteristic
479C2×Dic22—212no—
480C2×Dic22C2413yes—
481C2×Dic22C2416yes—
482C2×Dic22C2413yes—
483C2×Dic22C2416yes—
484C2×Dic22C2411yescharacteristic
485C11×C4⋊C4C2411yescharacteristic
486C11×C4⋊C4C2416yes—
487C11×C4⋊C4C2413yes—
488C11×C4⋊C4C2413yes—
489C11×C4⋊C4C2413yes—
490C11×C4⋊C4C2416yes—
491C11×C22⋊C4C2412yes—
492C11×C22⋊C4C2416yes—
493C11×C22⋊C4C2416yes—
494C11×C22⋊C4C2416yes—
495C11×C22⋊C4C2416yes—
496C11×C22⋊C4C24112yes—
497C42×C11C2411yescharacteristic
498C42×C11C2413yes—
499C42×C11C2413yes—
500C42×C11C2413yes—
501C22⋊Dic11C2412yes—
502C22⋊Dic11C2416yes—
503C22⋊Dic11C2416yes—
504C22⋊Dic11C2416yes—
505C22⋊Dic11C24112yes—
506C22⋊Dic11C2416yes—
507C22⋊Dic11C24112yes—
508C22⋊Dic11C24112yes—
509C22⋊Dic11C24112yes—
510(C2×D11)⋊C4C2416yes—
511(C2×D11)⋊C4C2416yes—
512(C2×D11)⋊C4C2412yes—
513(C2×D11)⋊C4C2416yes—
514(C2×D11)⋊C4C2416yes—
515(C2×D11)⋊C4C2416yes—
516(C2×D11)⋊C4C24112yes—
517C4⋊Dic11C2411yescharacteristic
518C4⋊Dic11C2413yes—
519C4⋊Dic11C2416yes—
520C4⋊Dic11C2416yes—
521C4⋊Dic11C2413yes—
522C4⋊Dic11C2413yes—
523C4⋊Dic11C2416yes—
524C4⋊Dic11C2416yes—
525C4⋊Dic11C24112yes—
526C4⋊Dic11C24112yes—
527Dic11⋊C4C2412yes—
528Dic11⋊C4C2416yes—
529Dic11⋊C4C2416yes—
530Dic11⋊C4C2416yes—
531Dic11⋊C4C24112yes—
532Dic11⋊C4C2416yes—
533Dic11⋊C4C2416yes—
534Dic11⋊C4C2412yes—
535Dic11⋊C4C2416yes—
536Dic11⋊C4C2416yes—
537Dic11⋊C4C2416yes—
538Dic11⋊C4C24112yes—
539C4×Dic11C2412yes—
540C4×Dic11C2416yes—
541C4×Dic11C2413yes—
542C4×Dic11C2413yes—
543C4×Dic11C2416yes—
544C4×Dic11C2416yes—
545C4×Dic11C2411yescharacteristic
546C4×Dic11C2411yescharacteristic
547C4×Dic11C2411yescharacteristic
548C4×Dic11C2413yes—
549C4×Dic11C2413yes—
550C4×Dic11C2413yes—
551C4×Dic11C2413yes—
552C4×Dic11C2413yes—
553C4×Dic11C2413yes—
554C4×Dic11C2413yes—
555C4×Dic11C2412yes—
556C4×Dic11C2416yes—
557C4×Dic11C2416yes—
558C4×Dic11C2416yes—
559C4×Dic11C2416yes—
560C4×Dic11C2416yes—
561C4×Dic11C2412yes—
562C4×Dic11C2416yes—
563#3483—111no—
564#3482—111no—
565#3482—112no—
566#3482—113no—
567#3481—116no—
568#3481—113no—
569#3480—111no—
570#3480—112no—
571#3480—113no—
572Q8×#41—111no—
573Q8×#41—111no—
574#3475—113no—
575#3475—116no—
576#3475—116no—
577#3475—113no—
578D4×#41—112no—
579D4×#41—113no—
580D4×#41D1111yescharacteristic, complemented
581#3444—113no—
582#3444—116no—
583C2×C4×#41—112no—
584C2×C4×#41—111no—
585C2×C4×#41—113no—
586C23×C11—212no—
587C23×C11—212no—
588C23×C11—46no—
589C23×C11C2516yes—
590C23×C11C2513yes—
591C23×C11C2512yes—
592C22×D11—26no—
593C22×D11—26no—
594C22×D11—43no—
595C22×D11C2513yes—
596C22×D11C2511yescharacteristic
597Q8×C11—212no—
598Q8×C11C2×#4114yescomplemented
599D4×C11—212no—
600D4×C11—224no—
601D4×C11—26no—
602D4×C11—212no—
603D4×C11—46no—
604D4×C11C2×#41112yescomplemented
605D4×C11C2×#4114yescomplemented
606C2×C4×C11—212no—
607C2×C4×C11—26no—
608C2×C4×C11—24no—
609C2×C4×C11—212no—
610C2×C4×C11—212no—
611C2×C4×C11—212no—
612C2×C4×C11—43no—
613C2×C4×C11C2×#41112yescomplemented
614C2×C4×C11C2512yes—
615C2×C4×C11C2511yescharacteristic
616C2×C4×C11C2516yes—
617C2×C4×C11C2513yes—
618C2×C4×C11C2513yes—
619C2×C4×C11C2513yes—
620C2×C4×C11C2511yescharacteristic
621C2×C4×C11C2511yescharacteristic
622C22⋊D11—212no—
623C22⋊D11—212no—
624C22⋊D11—212no—
625C22⋊D11—212no—
626C22⋊D11—412no—
627C22⋊D11C2×#4118yescomplemented
628C2×Dic11—26no—
629C2×Dic11—212no—
630C2×Dic11—212no—
631C2×Dic11—26no—
632C2×Dic11—212no—
633C2×Dic11—212no—
634C2×Dic11—26no—
635C2×Dic11—212no—
636C2×Dic11—24no—
637C2×Dic11—46no—
638C2×Dic11—46no—
639C2×Dic11—46no—
640C2×Dic11C2×#4118yescomplemented
641C2×Dic11C2511yescharacteristic
642C2×Dic11C2512yes—
643C2×Dic11C2513yes—
644C2×Dic11C2513yes—
645C2×Dic11C2513yes—
646C2×Dic11C2516yes—
647C2×Dic11C2516yes—
648C2×Dic11C2511yescharacteristic
649C2×Dic11C2512yes—
650C2×Dic11C2511yescharacteristic
651D44—26no—
652C4×D11—26no—
653C4×D11—22no—
654C4×D11—26no—
655C4×D11—26no—
656C4×D11—26no—
657C4×D11—26no—
658C4×D11—26no—
659C4×D11—22no—
660C4×D11—26no—
661C4×D11—43no—
662C4×D11—43no—
663C4×D11C2×#4114yescomplemented
664Dic22—26no—
665Dic22—26no—
666Dic22—212no—
667Dic22—46no—
668Dic22C2×#4114yescomplemented
669C22×#41—111no—
670C22×#41—113no—
671C22×#41C2×D1112yes—
672#559—113no—
673#559—116no—
674Q82—111no—
675#557—113no—
676#557—112no—
677#557—111no—
678#556—113no—
679#556—116no—
680#556—116no—
681#556—113no—
682#555—116no—
683#555—113no—
684#554—116no—
685#554—116no—
686#554—113no—
687#554—113no—
688#553—1112no—
689#553—116no—
690#553—116no—
691#553—116no—
692#553—116no—
693#552—1112no—
694#552—116no—
695#552—116no—
696#552—116no—
697#552—116no—
698#551—1112no—
699#551—1112no—
700#551—1112no—
701#550—112no—
702#550—113no—
703#550C2×D1111yescharacteristic, complemented
704D4×Q8—112no—
705D4×Q8—113no—
706D4×Q8C2×D1111yescharacteristic, complemented
707#548—112no—
708#548—112no—
709#548—116no—
710#548C2×D1112yescomplemented
711#547—116no—
712#547—116no—
713#547—113no—
714#547C2×D1113yescomplemented
715#546—116no—
716#546—116no—
717#546—116no—
718#546—1112no—
719#546C2×D1116yescomplemented
720D42—116no—
721D42C2×D1113yescomplemented
722#533—113no—
723#533—113no—
724#533—116no—
725#533—116no—
726#533—116no—
727#533—113no—
728#532—116no—
729#532—113no—
730#532—113no—
731#532—116no—
732#532—116no—
733#532C2×D1113yescomplemented
734#529—116no—
735#529—116no—
736#529—1112no—
737#529—1112no—
738#529—116no—
739#529—116no—
740#529—116no—
741#529—116no—
742#529—116no—
743#529—116no—
744#529—1112no—
745#529—1112no—
746#529—116no—
747#529—116no—
748#525—116no—
749#525—116no—
750#525—116no—
751#525—116no—
752#525—1112no—
753#525—1112no—
754#525C2×D1116yescomplemented
755C4×#41—111no—
756C4×#41—116no—
757C4×#41—112no—
758C4×#41—116no—
759C4×#41—116no—
760C4×#41—112no—
761C4×#41—116no—
762C4×#41—112no—
763C4×#41—111no—
764C4×#41—111no—
765C4×#41—111no—
766C4×#41—113no—
767C4×#41—113no—
768C4×#41—116no—
769C4×#41—113no—
770C4×#41—113no—
771C4×#41—116no—
772C4×#41—116no—
773C4×#41—113no—
774C4×#41—113no—
775C4×#41—113no—
776C4×#41—113no—
777C4×#41—116no—
778C4×#41—113no—
779C4×#41—116no—
780C4×#41—113no—
781C4×#41—113no—
782C4×#41C2×D1111yescharacteristic
783C2×C4×Q8—112no—
784C2×C4×Q8—112no—
785C2×C4×Q8—111no—
786C2×C4×Q8—111no—
787C2×C4×Q8—113no—
788C2×C4×Q8—113no—
789C2×C4×D4—116no—
790C2×C4×D4—116no—
791C2×C4×D4—113no—
792C2×C4×D4—116no—
793C2×C4×D4—113no—
794C2×C4×D4—113no—
795C2×C4×D4—116no—
796C2×C4×D4C2×D1113yescomplemented
797C2×#117—116no—
798C2×#117—113no—
799C2×#117—113no—
800C2×#117—116no—
801C22×C42—116no—
802C22×C42—113no—
803C22×C11—22no—
804C22×C11—23no—
805C22×C11—23no—
806C22×C11—22no—
807C22×C11—26no—
808C22×C11—26no—
809C22×C11—26no—
810C22×C11—424no—
811C22×C11C22×#4116yes—
812C22×C11C22×#4114yes—
813C22×C11C2611yescharacteristic
814C2×D11—21no—
815C2×D11—21no—
816C2×D11—23no—
817C2×D11—23no—
818C2×D11—23no—
819C2×D11—412no—
820C2×D11C22×#4112yes—
821C4×C11—22no—
822C4×C11—26no—
823C4×C11—23no—
824C4×C11—21no—
825C4×C11—23no—
826C4×C11C22×#4112yes—
827C4×C11C22×#4116yes—
828C4×C11C22×#4112yes—
829Dic11—23no—
830Dic11—26no—
831Dic11—21no—
832Dic11—23no—
833Dic11—26no—
834Dic11—23no—
835Dic11—22no—
836Dic11C22×#4114yes—
837Dic11C22×#4112yes—
838Dic11#58512yes—
839C2×#41—216no—
840C2×#41—111no—
841C2×#41—111no—
842C2×#41—116no—
843C2×#41—113no—
844C2×#41—113no—
845C2×#41—113no—
846C2×#41—116no—
847C2×#41—113no—
848C2×#41—116no—
849C2×#41—113no—
850C2×#41—2224no—
851C2×#41—228no—
852C2×#41C22×D1116yes—
853C2×#41C22×D1116yes—
854C2×#41C22×D1112yes—
855C2×#41C22×D1111yescharacteristic
856C22×Q8—111no—
857C22×Q8—113no—
858C22×Q8C22×D1112yes—
859C22×D4—116no—
860C22×D4—113no—
861C22×D4C22×D1116yes—
862C22×D4C22×D1113yes—
863C23×C4—116no—
864C23×C4—116no—
865C23×C4—113no—
866C23×C4—113no—
867C23×C4—113no—
868C23×C4C22×D1116yes—
869C4⋊Q8—116no—
870C4⋊Q8—116no—
871C4⋊Q8—116no—
872C4⋊Q8—113no—
873C4⋊Q8—113no—
874C4⋊Q8C22×D1113yes—
875#127—116no—
876#127C22×D1113yes—
877#126—1112no—
878#126—1112no—
879#126—1112no—
880#126—1112no—
881#126—1112no—
882#126—1112no—
883#125—1112no—
884#125—116no—
885#125—1112no—
886#125—116no—
887#125—116no—
888#125—116no—
889#125—116no—
890#124—116no—
891#124—116no—
892#124—116no—
893#124—116no—
894#124—1112no—
895#124—1112no—
896#124C22×D1116yes—
897#123—1112no—
898#123—1112no—
899#123—1112no—
900#123—1112no—
901#123—1112no—
902#123—1112no—
903#123—1112no—
904#123—1112no—
905#123C22×D11112yes—
906C22⋊Q8—116no—
907C22⋊Q8—116no—
908C22⋊Q8—116no—
909C22⋊Q8—116no—
910C22⋊Q8—116no—
911C22⋊Q8—116no—
912C22⋊Q8—116no—
913C22⋊Q8—116no—
914C22⋊Q8—1112no—
915C22⋊Q8—1112no—
916C22⋊Q8—1112no—
917C22⋊Q8—1112no—
918C22⋊Q8C22×D1116yes—
919C22⋊Q8C22×D1116yes—
920#121—116no—
921#121—1112no—
922#121—116no—
923#121—1112no—
924#121—1112no—
925#121—116no—
926#121—116no—
927#121—1112no—
928#121—116no—
929#121—116no—
930#121C22×D1116yes—
931#121C22×D1116yes—
932#121C22×D1116yes—
933#121C22×D1116yes—
934#120—1112no—
935#120—1112no—
936#120C22×D11112yes—
937C4×Q8—111no—
938C4×Q8—111no—
939C4×Q8—116no—
940C4×Q8—116no—
941C4×Q8—112no—
942C4×Q8—112no—
943C4×Q8—116no—
944C4×Q8—116no—
945C4×Q8—111no—
946C4×Q8—116no—
947C4×Q8—113no—
948C4×Q8—113no—
949C4×Q8—113no—
950C4×Q8—113no—
951C4×Q8—116no—
952C4×Q8—113no—
953C4×Q8—116no—
954C4×Q8—111no—
955C4×Q8—116no—
956C4×Q8—113no—
957C4×Q8—113no—
958C4×Q8—113no—
959C4×Q8—113no—
960C4×Q8—113no—
961C4×Q8—116no—
962C4×Q8—116no—
963C4×Q8C22×D1111yescharacteristic
964C4×Q8C22×D1111yescharacteristic
965C4×D4—113no—
966C4×D4—113no—
967C4×D4—111no—
968C4×D4—1112no—
969C4×D4—1112no—
970C4×D4—116no—
971C4×D4—116no—
972C4×D4—116no—
973C4×D4—113no—
974C4×D4—116no—
975C4×D4—116no—
976C4×D4—113no—
977C4×D4—1112no—
978C4×D4—116no—
979C4×D4—1112no—
980C4×D4—116no—
981C4×D4—116no—
982C4×D4—113no—
983C4×D4—116no—
984C4×D4—112no—
985C4×D4—116no—
986C4×D4—116no—
987C4×D4—116no—
988C4×D4—116no—
989C4×D4—116no—
990C4×D4—116no—
991C4×D4—116no—
992C4×D4—116no—
993C4×D4—116no—
994C4×D4—1112no—
995C4×D4—113no—
996C4×D4—113no—
997C4×D4—112no—
998C4×D4—116no—
999C4×D4—116no—
1000C4×D4—116no—
1001C4×D4—116no—
1002C4×D4—116no—
1003C4×D4—116no—
1004C4×D4—116no—
1005C4×D4—116no—
1006C4×D4—116no—
1007C4×D4—1112no—
1008C4×D4—113no—
1009C4×D4—113no—
1010C4×D4C22×D1113yes—
1011C4×D4C22×D1113yes—
1012C4×D4C22×D1111yescharacteristic
1013C4×D4C22×D1116yes—
1014C4×D4C22×D1113yes—
1015C4×D4C22×D1113yes—
1016C4×D4C22×D1116yes—
1017C4×D4C22×D1113yes—
1018C4×D4C22×D1116yes—
1019#117—113no—
1020#117—116no—
1021#117—1112no—
1022#117—1112no—
1023#117—116no—
1024#117—116no—
1025#117—111no—
1026#117—113no—
1027#117—116no—
1028#117—116no—
1029#117—113no—
1030#117—113no—
1031#117—113no—
1032#117—113no—
1033#117—116no—
1034#117—112no—
1035#117—116no—
1036#117—116no—
1037#117—116no—
1038#117—116no—
1039#117—116no—
1040#117—116no—
1041#117—116no—
1042#117—116no—
1043#117—1112no—
1044#117—116no—
1045#117C22×D1113yes—
1046C2×C4⋊C4—116no—
1047C2×C4⋊C4—116no—
1048C2×C4⋊C4—116no—
1049C2×C4⋊C4—116no—
1050C2×C4⋊C4—113no—
1051C2×C4⋊C4—113no—
1052C2×C4⋊C4—113no—
1053C2×C4⋊C4C22×D1113yes—
1054C2×C22⋊C4—1112no—
1055C2×C22⋊C4—116no—
1056C2×C22⋊C4—116no—
1057C2×C22⋊C4—116no—
1058C2×C22⋊C4C22×D1116yes—
1059C2×C42—113no—
1060C2×C42—116no—
1061C2×C42—116no—
1062C2×C42—116no—
1063C2×C42—113no—
1064C2×C42—116no—
1065C2×C42—116no—
1066C2×C42—116no—
1067C2×C42—116no—
1068C2×C42—116no—
1069C2×C42—116no—
1070C2×C42—116no—
1071C2×C42—112no—
1072C2×C42—113no—
1073C2×C42—113no—
1074C2×C42—113no—
1075C2×C42—113no—
1076C2×C42—113no—
1077C2×C42—113no—
1078C2×C42—113no—
1079C2×C42—113no—
1080C2×C42—111no—
1081C2×C42C22×D1113yes—
1082C2×C11—26no—
1083C2×C11—24no—
1084C2×C11—46no—
1085C2×C11C23×#4111yescharacteristic
1086C2×C11C23×#4111yescharacteristic
1087C2×C11C2×#58511yescharacteristic
1088D11—22no—
1089D11—43no—
1090C24—113no—
1091C24C23×D1116yes—
1092#41—28no—
1093#41—224no—
1094#41—224no—
1095#41—118no—
1096#41—2224no—
1097#41—2212no—
1098#41—2224no—
1099#41—2212no—
1100#41—224no—
1101#41—2212no—
1102#41—2212no—
1103#41—2212no—
1104#41—4412no—
1105#41#434118yesdirect product factor
1106C2×Q8—28no—
1107C2×Q8—111no—
1108C2×Q8—116no—
1109C2×Q8—113no—
1110C2×Q8—113no—
1111C2×Q8—116no—
1112C2×Q8—2212no—
1113C2×Q8—224no—
1114C2×Q8C23×D1116yes—
1115C2×Q8C23×D1111yescharacteristic
1116C2×D4—224no—
1117C2×D4—212no—
1118C2×D4—112no—
1119C2×D4—116no—
1120C2×D4—116no—
1121C2×D4—116no—
1122C2×D4—116no—
1123C2×D4—1112no—
1124C2×D4—113no—
1125C2×D4—2224no—
1126C2×D4—2212no—
1127C2×D4C23×D11112yes—
1128C2×D4C23×D1116yes—
1129C2×D4C23×D1116yes—
1130C2×D4C23×D1113yes—
1131C2×D4C23×D1116yes—
1132C2×D4C23×D1113yes—
1133C2×D4C23×D1111yescharacteristic
1134C22×C4—224no—
1135C22×C4—112no—
1136C22×C4—111no—
1137C22×C4—113no—
1138C22×C4—113no—
1139C22×C4—112no—
1140C22×C4—113no—
1141C22×C4—116no—
1142C22×C4—116no—
1143C22×C4—116no—
1144C22×C4—116no—
1145C22×C4—116no—
1146C22×C4—116no—
1147C22×C4—116no—
1148C22×C4—116no—
1149C22×C4—111no—
1150C22×C4—113no—
1151C22×C4—113no—
1152C22×C4—113no—
1153C22×C4—113no—
1154C22×C4—113no—
1155C22×C4—113no—
1156C22×C4—111no—
1157C22×C4—113no—
1158C22×C4—113no—
1159C22×C4—113no—
1160C22×C4—2212no—
1161C22×C4—2224no—
1162C22×C4—2212no—
1163C22×C4—446no—
1164C22×C4—4412no—
1165C22×C4C23×D1116yes—
1166C22×C4C23×D1116yes—
1167C22×C4C23×D1116yes—
1168C22×C4C23×D1113yes—
1169C22×C4C23×D1112yes—
1170C22×C4C23×D1116yes—
1171C22×C4C23×D1113yes—
1172C22×C4C23×D1113yes—
1173C4⋊C4—112no—
1174C4⋊C4—112no—
1175C4⋊C4—113no—
1176C4⋊C4—113no—
1177C4⋊C4—111no—
1178C4⋊C4—116no—
1179C4⋊C4—116no—
1180C4⋊C4—116no—
1181C4⋊C4—116no—
1182C4⋊C4—113no—
1183C4⋊C4—116no—
1184C4⋊C4—116no—
1185C4⋊C4—116no—
1186C4⋊C4—116no—
1187C4⋊C4—116no—
1188C4⋊C4—116no—
1189C4⋊C4—1112no—
1190C4⋊C4—1112no—
1191C4⋊C4—116no—
1192C4⋊C4—1112no—
1193C4⋊C4—1112no—
1194C4⋊C4—116no—
1195C4⋊C4C23×D1113yes—
1196C4⋊C4C23×D1113yes—
1197C4⋊C4C23×D1111yescharacteristic
1198C4⋊C4C23×D1113yes—
1199C4⋊C4C23×D1116yes—
1200C4⋊C4C23×D1116yes—
1201C22⋊C4—116no—
1202C22⋊C4—112no—
1203C22⋊C4—1112no—
1204C22⋊C4—116no—
1205C22⋊C4—1112no—
1206C22⋊C4—1112no—
1207C22⋊C4—116no—
1208C22⋊C4—116no—
1209C22⋊C4—1112no—
1210C22⋊C4—112no—
1211C22⋊C4—116no—
1212C22⋊C4—116no—
1213C22⋊C4—116no—
1214C22⋊C4—116no—
1215C22⋊C4—116no—
1216C22⋊C4—1112no—
1217C22⋊C4C23×D1116yes—
1218C22⋊C4C23×D1112yes—
1219C22⋊C4C23×D1116yes—
1220C22⋊C4C23×D1116yes—
1221C22⋊C4C23×D1116yes—
1222C22⋊C4C23×D11112yes—
1223C42—112no—
1224C42—111no—
1225C42—112no—
1226C42—113no—
1227C42—113no—
1228C42—111no—
1229C42—113no—
1230C42—116no—
1231C42—116no—
1232C42—116no—
1233C42—113no—
1234C42—113no—
1235C42—116no—
1236C42—113no—
1237C42—116no—
1238C42—113no—
1239C42—116no—
1240C42—116no—
1241C42—113no—
1242C42—116no—
1243C42—111no—
1244C42—113no—
1245C42—112no—
1246C42—116no—
1247C42C23×D1113yes—
1248C42C23×D1113yes—
1249C42C23×D1111yescharacteristic
1250C42C23×D1113yes—
1251C11#41211yescharacteristic, complemented, Sylow
1252C23—212no—
1253C23—212no—
1254C23—46no—
1255C23—111no—
1256C23—113no—
1257C23—226no—
1258C23—226no—
1259C23—443no—
1260C23C24×D1116yes—
1261C23C24×D1113yes—
1262C23C24×D1112yes—
1263Q8—212no—
1264Q8—114no—
1265Q8—2212no—
1266Q8—226no—
1267Q8—226no—
1268Q8—446no—
1269Q8C2×#434114yescomplemented
1270D4—224no—
1271D4—212no—
1272D4—212no—
1273D4—26no—
1274D4—46no—
1275D4—118no—
1276D4—2212no—
1277D4—2212no—
1278D4—2212no—
1279D4—2212no—
1280D4—226no—
1281D4—4412no—
1282D4C2×#4341112yescomplemented
1283D4#41×D1114yescomplemented
1284C2×C4—212no—
1285C2×C4—24no—
1286C2×C4—212no—
1287C2×C4—212no—
1288C2×C4—212no—
1289C2×C4—26no—
1290C2×C4—43no—
1291C2×C4—118no—
1292C2×C4—111no—
1293C2×C4—111no—
1294C2×C4—112no—
1295C2×C4—114no—
1296C2×C4—113no—
1297C2×C4—111no—
1298C2×C4—112no—
1299C2×C4—113no—
1300C2×C4—116no—
1301C2×C4—113no—
1302C2×C4—116no—
1303C2×C4—226no—
1304C2×C4—222no—
1305C2×C4—226no—
1306C2×C4—226no—
1307C2×C4—226no—
1308C2×C4—2212no—
1309C2×C4—2212no—
1310C2×C4—2212no—
1311C2×C4—226no—
1312C2×C4—224no—
1313C2×C4—2212no—
1314C2×C4—226no—
1315C2×C4—2212no—
1316C2×C4—222no—
1317C2×C4—226no—
1318C2×C4—226no—
1319C2×C4—226no—
1320C2×C4—226no—
1321C2×C4—443no—
1322C2×C4—443no—
1323C2×C4—446no—
1324C2×C4—446no—
1325C2×C4—446no—
1326C2×C4C2×#4341112yescomplemented
1327C2×C4C24×D1112yes—
1328C2×C4C24×D1111yescharacteristic
1329C2×C4C24×D1116yes—
1330C2×C4C24×D1113yes—
1331C2×C4C24×D1113yes—
1332C2×C4C24×D1113yes—
1333C2×C4C24×D1111yescharacteristic
1334C2×C4C24×D1111yescharacteristic
1335C22—23no—
1336C22—22no—
1337C22—23no—
1338C22—22no—
1339C22—26no—
1340C22—26no—
1341C22—26no—
1342C22—424no—
1343C22—112no—
1344C22—221no—
1345C22—221no—
1346C22—223no—
1347C22—223no—
1348C22—223no—
1349C22—4412no—
1350C22C22×#434116yes—
1351C22C2×#41×D1114yes—
1352C22C25×D1111yescharacteristic
1353C4—23no—
1354C4—22no—
1355C4—26no—
1356C4—21no—
1357C4—23no—
1358C4—112no—
1359C4—114no—
1360C4—112no—
1361C4—223no—
1362C4—226no—
1363C4—221no—
1364C4—223no—
1365C4—223no—
1366C4—222no—
1367C4—226no—
1368C4C22×#434112yes—
1369C4C22×#434116yes—
1370C4C2×#41×D1112yes—
1371C2—24no—
1372C2—26no—
1373C2—46no—
1374C2—222no—
1375C2—443no—
1376C2C22×#41×D1111yescharacteristic
1377C2C23×#434111yescharacteristic
1378C2D11×#58511yescharacteristic
subgroupG/H
centerC2×C4C24×D11
commutator, socle, cosocleC22×C11C26
FrattiniC22C25×D11
FittingD4×C11×#41C2
hypercenterD4×#41D11
hypocenterC11#412
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ D4×#41

Complements

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

NH ≅ G/Ntype
1. #13082239C2semidirect
2. #13082237C2semidirect
3. #13082232C2semidirect
4. #13082228C2semidirect
5. #13082221C2semidirect
6. #13082217C2semidirect
7. #13082215C2semidirect
8. #13082213C2semidirect
9. #13082206C2semidirect
10. #41×Dic22C2semidirect
11. Q8×#4341C2semidirect
12. #13082179C2semidirect
13. #13082176C2semidirect
14. #13082174C2semidirect
15. #13082167C2semidirect
16. #41×C22⋊D11C2semidirect
17. D4×#4341C2semidirect
18. #13081911C2semidirect
19. #13081908C2semidirect
20. C2×#41×Dic11C2semidirect
21. C2×C4×#4341C2semidirect
22. C4×#41×D11C2semidirect
23. D4×C11×#41C2semidirect
27. C11×#550C22semidirect
28. D4×Q8×C11C22semidirect
29. C11×#548C22semidirect
30. C11×#547C22semidirect
31. C11×#546C22semidirect
32. D42×C11C22semidirect
33. C11×#532C22semidirect
34. C11×#525C22semidirect
36. C2×C4×D4×C11C22semidirect
37. #10623365C22semidirect
38. #10623363C22semidirect
39. #10623362C22semidirect
40. #10623360C22semidirect
41. #10623359C22semidirect
44. #41×Dic11C22semidirect
45. #41×Dic11C22semidirect
46. #41×Dic11C22semidirect
47. #41×Dic11C22semidirect
48. #41×Dic11C22semidirect
49. #41×Dic11C22semidirect
50. #10623355C22semidirect
51. #10623348C22semidirect
52. Q8×C22⋊D11C22semidirect
53. C2×Q8×Dic11C22semidirect
54. C2×Q8×Dic11C22semidirect
55. #10623337C22semidirect
56. #10623337C22semidirect
57. D4×C22⋊D11C22semidirect
58. C2×D4×Dic11C22semidirect
59. C2×D4×Dic11C22semidirect
60. C2×D4×Dic11C22semidirect
61. #10623322C22semidirect
62. C2×C4×C22⋊D11C22semidirect
63. C2×#66979C22semidirect
64. C22×C4×Dic11C22semidirect
65. #10623263C22semidirect
66. #10623259C22semidirect
67. #10623259C22semidirect
68. #10623252C22semidirect
69. #10623249C22semidirect
70. #10623247C22semidirect
71. #10623247C22semidirect
72. #10623244C22semidirect
73. #10623212C22semidirect
74. #10623211C22semidirect
75. #10623211C22semidirect
76. #10623202C22semidirect
77. #10623189C22semidirect
78. #10623181C22semidirect
79. #10623180C22semidirect
80. #10623180C22semidirect
81. #10623173C22semidirect
82. #10623172C22semidirect
83. #10623170C22semidirect
84. #10623166C22semidirect
85. #10623155C22semidirect
86. #10623155C22semidirect
87. #10623153C22semidirect
88. #10623153C22semidirect
89. #10623149C22semidirect
90. #10623149C22semidirect
91. #10623147C22semidirect
92. #10623145C22semidirect
93. #10623142C22semidirect
94. #10623137C22semidirect
95. #10623137C22semidirect
96. #10623132C22semidirect
97. #10623131C22semidirect
98. #10623131C22semidirect
99. #10623131C22semidirect
100. #10623131C22semidirect
101. #10623129C22semidirect
102. #10623127C22semidirect
103. #10623127C22semidirect
104. #10623122C22semidirect
105. #10623118C22semidirect
106. #10623117C22semidirect
107. #10623117C22semidirect
108. C4×#4343C22semidirect
109. C4×#4343C22semidirect
110. C4×Q8×D11C22semidirect
111. C4×Q8×D11C22semidirect
112. #10623101C22semidirect
113. #10623100C22semidirect
114. Q8×Dic22C22semidirect
115. #10623096C22semidirect
116. #10623094C22semidirect
117. #10623088C22semidirect
118. #10623088C22semidirect
119. #10623086C22semidirect
120. C4×D4×D11C22semidirect
121. C4×D4×D11C22semidirect
122. #10623074C22semidirect
123. #10623074C22semidirect
124. #10623073C22semidirect
125. #10623072C22semidirect
126. #10623070C22semidirect
127. #10623069C22semidirect
128. #10623069C22semidirect
129. D4×Dic22C22semidirect
132. C4×#4341C22semidirect
133. C4×#4341C22semidirect
134. C4×#4341C22semidirect
135. C4×#4341C22semidirect
136. C4×#4341C22semidirect
137. C4×#4341C22semidirect
138. C4×#4341C22semidirect
139. C4×#4341C22semidirect
140. C4×#4341C22semidirect
141. C4×#4341C22semidirect
142. C4×#4341C22semidirect
143. C4×#4341C22semidirect
144. C4×#4341C22semidirect
145. #10623053C22semidirect
146. D11×#117C22semidirect
147. #10623048C22semidirect
148. #10623044C22semidirect
149. C2×#66945C22semidirect
150. C2×#66940C22semidirect
151. #10623026C22semidirect
152. C2×(C22⋊D11)⋊C4C22semidirect
153. C2×#66930C22semidirect
154. C4×#4339C22semidirect
155. C2×C42×D11C22semidirect
156. #10623001C22semidirect
157. C2×C4×Dic22C22semidirect
407. C11×#41#41semidirect
460. #4341#41direct (N × H)
580. D4×#41D11semidirect
598. Q8×C11C2×#41semidirect
604. D4×C11C2×#41semidirect
605. D4×C11C2×#41semidirect
613. C2×C4×C11C2×#41semidirect
627. C22⋊D11C2×#41semidirect
640. C2×Dic11C2×#41semidirect
663. C4×D11C2×#41semidirect
668. Dic22C2×#41semidirect
703. #550C2×D11semidirect
706. D4×Q8C2×D11semidirect
710. #548C2×D11semidirect
714. #547C2×D11semidirect
719. #546C2×D11semidirect
721. D42C2×D11semidirect
733. #532C2×D11semidirect
754. #525C2×D11semidirect
796. C2×C4×D4C2×D11semidirect
1105. #41#4341direct (N × H)
1251. C11#412semidirect
1269. Q8C2×#4341semidirect
1282. D4C2×#4341semidirect
1283. D4#41×D11semidirect
1326. C2×C4C2×#4341semidirect

Maximal subgroups

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

subgroupindex
#130822392
#130822372
#130822322
#130822282
#130822212
#130822172
#130822152
#130822132
#130822062
#41×Dic222
Q8×#43412
#130821792
#130821762
#130821742
#130821672
#41×C22⋊D112
D4×#43412
#130819112
#130819082
C2×#41×Dic112
C2×C4×#43412
C4×#41×D112
D4×C11×#412
#41211