Finite Group Databasebeta

← #14926855

Subgroups — #14926855

Order 2816.

1978 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13076968C211yesmaximal, characteristic, complemented
2#13076904C212yesmaximal
3#13074589C212yesmaximal, complemented
4#13074423C212yesmaximal
5#13074074C214yesmaximal, complemented
6#13074044C214yesmaximal, complemented
7#13073047C212yesmaximal, complemented
8#13072993C212yesmaximal, complemented
9#13072213C212yesmaximal, complemented
10#13072144C212yesmaximal, complemented
11#13071351C212yesmaximal, complemented
12#13071213C212yesmaximal
13#13071144C212yesmaximal, complemented
14C2×C4×(C2×D11)⋊C4C211yesmaximal, characteristic
15C11×#2857C211yesmaximal, characteristic, complemented
16C23×C4×D11C2211yescharacteristic
17C2×C11×C4⋊Q8C2211yescharacteristic, complemented
18C2×C11×C22⋊Q8C2212yes—
19C22×C42×C11C2211yescharacteristic
20C22×(C2×D11)⋊C4C2211yescharacteristic
21C22×(C2×D11)⋊C4C2211yescharacteristic
22C2×#66977C2212yes—
23C22×C4×Dic11C2211yescharacteristic
24C2×#66950C2212yes—
25C2×#66950C2212yes—
26C2×#66940C2212yescomplemented
27C2×#66922C2211yescharacteristic, complemented
28C11×#391C2212yescomplemented
29C11×#389C2212yescomplemented
30C11×#389C2212yescomplemented
31C11×#384C2211yescharacteristic, complemented
32C11×#380C2212yes—
33C11×#380C2212yes—
34#10622844C2214yes—
35#10622843C2214yescomplemented
36#10622825C2212yes—
37#10622825C2212yes—
38C2×C11⋊#95C2211yescharacteristic
39C2×C11⋊#95C2211yescharacteristic
40#10622607C2214yes—
41#10622607C2214yes—
42#10622605C2214yes—
43#10622603C2214yes—
44#10622603C2214yes—
45#10622600C2212yes—
46#10622600C2212yes—
47#10622599C2214yescomplemented
48#10622598C2214yescomplemented
49#10622597C2214yescomplemented
50#10622594C2214yescomplemented
51#10622594C2214yescomplemented
52C4⋊C4×Dic11C2212yescomplemented
53#10622587C2212yescomplemented
54#10622586C2212yescomplemented
55#10622568C2214yes—
56#10622563C2214yes—
57#10622559C2214yes—
58C22⋊C4×Dic11C2214yes—
59C4×(C2×D11)⋊C4C2212yes—
60C4×(C2×D11)⋊C4C2212yes—
61C4×(C2×D11)⋊C4C2212yes—
62C4×(C2×D11)⋊C4C2212yes—
63#10622548C2211yescharacteristic, complemented
64#10622542C2212yescomplemented
65#10622541C2212yescomplemented
66#10622541C2212yescomplemented
67#10622283C2214yes—
68#10622283C2214yes—
69#10622281C2214yes—
70#10622281C2214yes—
71#10622274C2214yescomplemented
72#10622273C2214yescomplemented
73#10622265C2214yescomplemented
74#10622262C2214yescomplemented
75C24×D11C2311yescharacteristic
76C22×Q8×C11C2312yes—
77C23×C4×C11C2311yescharacteristic
78C23×C4×C11C2311yescharacteristic
79C23×C4×C11C2311yescharacteristic
80C23×Dic11C2311yescharacteristic
81C23×Dic11C2311yescharacteristic
82C23×Dic11C2311yescharacteristic
83C22×C4×D11—24no—
84C22×C4×D11—42no—
85C22×C4×D11—42no—
86C22×C4×D11C2312yes—
87C22×C4×D11C2312yes—
88C22×Dic22C2312yes—
89C11×C4⋊Q8—42no—
90C11×C22⋊Q8—28no—
91C2×C11×C4⋊C4C2312yes—
92C2×C11×C4⋊C4C2312yes—
93C2×C11×C4⋊C4C2312yes—
94C2×C11×C4⋊C4C2314yes—
95C2×C11×C4⋊C4C2312yes—
96C2×C11×C4⋊C4C2312yes—
97C2×C11×C22⋊C4C2314yes—
98C2×C42×C11—42no—
99C2×C42×C11C2311yescharacteristic
100C2×C42×C11C2311yescharacteristic
101C2×C42×C11C2311yescharacteristic
102C2×C42×C11C2311yescharacteristic
103C2×C22⋊Dic11C2314yes—
104C2×(C2×D11)⋊C4—24no—
105C2×(C2×D11)⋊C4Q818yescomplemented
106C2×(C2×D11)⋊C4C2312yes—
107C2×(C2×D11)⋊C4C2312yes—
108C2×(C2×D11)⋊C4C2314yes—
109C2×(C2×D11)⋊C4C2314yes—
110C2×(C2×D11)⋊C4C2314yes—
111C2×(C2×D11)⋊C4C2314yes—
112C2×(C2×D11)⋊C4C2312yes—
113C2×(C2×D11)⋊C4C2312yes—
114C2×C4⋊Dic11C2312yes—
115C2×C4⋊Dic11C2312yes—
116C2×C4⋊Dic11C2312yes—
117C2×C4⋊Dic11C2314yes—
118C2×C4⋊Dic11C2314yes—
119C2×C4⋊Dic11C2312yes—
120C2×C4⋊Dic11C2312yes—
121#66977—28no—
122C2×Dic11⋊C4C2314yes—
123C2×Dic11⋊C4C2314yes—
124C2×Dic11⋊C4C2314yes—
125C2×C4×Dic11—42no—
126C2×C4×Dic11C2312yes—
127C2×C4×Dic11C2314yes—
128C2×C4×Dic11C2312yes—
129C2×C4×Dic11C2314yes—
130#66950—44no—
131#66950—44no—
132#66940—44no—
133#66922—42no—
134C11×#95C2314yes—
135C11×#95C2314yes—
136C11⋊#95C2314yes—
137C11⋊#95C2314yes—
138C11⋊#95C2314yes—
139C11⋊#95C2314yes—
140C11⋊#95C2312yes—
141C11⋊#95C2314yes—
142C11⋊#95C2314yes—
143C11⋊#95C2314yes—
144C11⋊#95C2314yes—
145C11⋊#95C2312yes—
146C11⋊#95C2312yes—
147C11⋊#95C2312yes—
148#35014—111nomaximal, Sylow
149C24×C11C2411yescharacteristic
150C23×D11—22no—
151C23×D11—22no—
152C23×D11—41no—
153C23×D11—41no—
154C23×D11—41no—
155C23×D11—41no—
156C23×D11C2×Q814yes—
157C23×D11C2412yes—
158C2×Q8×C11—24no—
159C2×Q8×C11—42no—
160C2×Q8×C11—42no—
161C22×C4×C11—22no—
162C22×C4×C11—22no—
163C22×C4×C11—41no—
164C22×C4×C11—41no—
165C22×C4×C11—41no—
166C22×C4×C11—41no—
167C22×C4×C11C2×Q814yes—
168C22×C4×C11#4114yes—
169C22×C4×C11#4114yes—
170C22×C4×C11C2414yes—
171C22×C4×C11C2414yes—
172C22×C4×C11C2411yescharacteristic
173C22×C4×C11C2411yescharacteristic
174C22×C4×C11C2411yescharacteristic
175C22×C4×C11C2411yescharacteristic
176C22×C4×C11C2411yescharacteristic
177C22×C4×C11C2411yescharacteristic
178C22×Dic11—22no—
179C22×Dic11—22no—
180C22×Dic11—41no—
181C22×Dic11—41no—
182C22×Dic11—41no—
183C22×Dic11—41no—
184C22×Dic11—41no—
185C22×Dic11—41no—
186C22×Dic11C2×Q814yes—
187C22×Dic11C2412yes—
188C22×Dic11C2412yes—
189C22×Dic11C2414yes—
190C22×Dic11C2414yes—
191C22×Dic11C2412yes—
192C2×C4×D11—24no—
193C2×C4×D11—24no—
194C2×C4×D11—24no—
195C2×C4×D11—24no—
196C2×C4×D11—42no—
197C2×C4×D11—42no—
198C2×C4×D11—416no—
199C2×Dic22—24no—
200C2×Dic22—24no—
201C2×Dic22—24no—
202C11×C4⋊C4—24no—
203C11×C4⋊C4—28no—
204C11×C4⋊C4—24no—
205C11×C4⋊C4—24no—
206C11×C4⋊C4—42no—
207C11×C4⋊C4—42no—
208C11×C22⋊C4—28no—
209C42×C11—22no—
210C42×C11—22no—
211C42×C11—41no—
212C42×C11—41no—
213C22⋊Dic11—28no—
214(C2×D11)⋊C4—24no—
215(C2×D11)⋊C4—24no—
216(C2×D11)⋊C4—44no—
217(C2×D11)⋊C4—44no—
218(C2×D11)⋊C4—44no—
219(C2×D11)⋊C4—44no—
220(C2×D11)⋊C4C2×Q818yes—
221(C2×D11)⋊C4C2×Q818yes—
222C4⋊Dic11—24no—
223C4⋊Dic11—42no—
224C4⋊Dic11—42no—
225C4⋊Dic11—44no—
226C4⋊Dic11—44no—
227C4⋊Dic11—42no—
228C4⋊Dic11—42no—
229Dic11⋊C4—28no—
230Dic11⋊C4—44no—
231Dic11⋊C4—44no—
232C4×Dic11—24no—
233C4×Dic11—44no—
234C4×Dic11—42no—
235C4×Dic11—44no—
236#2857—111no—
237#2857D1111yescharacteristic, complemented
238#2848—112no—
239#2646—112no—
240#2626—112no—
241#2589—114no—
242#2587—114no—
243#2497—112no—
244#2492—112no—
245#2429—112no—
246#2423—112no—
247#2329—112no—
248#2312—112no—
249C4×C22⋊Q8—112no—
250C2×C4×C22⋊C4—111no—
251C23×C11—21no—
252C23×C11—21no—
253C23×C11—21no—
254C23×C11—21no—
255C23×C11C22×Q812yes—
256C23×C11C2×#4112yes—
257C23×C11C2×#4112yes—
258C23×C11C2511yescharacteristic
259C22×D11—28no—
260C22×D11—22no—
261C22×D11—22no—
262C22×D11—22no—
263C22×D11—22no—
264C22×D11—22no—
265C22×D11—22no—
266C22×D11—44no—
267C22×D11—44no—
268C22×D11—44no—
269C22×D11—44no—
270C22×D11—44no—
271C22×D11—44no—
272C22×D11C22×Q814yes—
273Q8×C11—84no—
274C2×C4×C11—21no—
275C2×C4×C11—21no—
276C2×C4×C11—21no—
277C2×C4×C11—21no—
278C2×C4×C11—21no—
279C2×C4×C11—21no—
280C2×C4×C11—21no—
281C2×C4×C11—21no—
282C2×C4×C11—21no—
283C2×C4×C11—21no—
284C2×C4×C11—28no—
285C2×C4×C11—24no—
286C2×C4×C11—24no—
287C2×C4×C11—24no—
288C2×C4×C11—24no—
289C2×C4×C11—24no—
290C2×C4×C11—24no—
291C2×C4×C11—44no—
292C2×C4×C11—44no—
293C2×C4×C11C22×Q812yes—
294C2×C4×C11C22×Q812yes—
295C2×C4×C11C2×#4112yes—
296C2×C4×C11C2×#4112yes—
297C2×C4×C11C2×#4112yes—
298C2×C4×C11C2×#4112yes—
299C2×C4×C11H(5,𝔽2)12yes—
300C2×C4×C11H(5,𝔽2)12yes—
301C2×Dic11—22no—
302C2×Dic11—22no—
303C2×Dic11—24no—
304C2×Dic11—24no—
305C2×Dic11—22no—
306C2×Dic11—22no—
307C2×Dic11—22no—
308C2×Dic11—24no—
309C2×Dic11—24no—
310C2×Dic11—22no—
311C2×Dic11—22no—
312C2×Dic11—24no—
313C2×Dic11—22no—
314C2×Dic11—24no—
315C2×Dic11—44no—
316C2×Dic11—44no—
317C2×Dic11—44no—
318C2×Dic11C22×Q814yes—
319C4×D11—48no—
320C4×D11—48no—
321Dic22—48no—
322C24×C4—111no—
323C2×C4⋊Q8—111no—
324C2×C4⋊Q8C2×D1111yescharacteristic, complemented
325C2×C22⋊Q8—112no—
326C2×C22⋊Q8—112no—
327C2×C22⋊Q8—112no—
328C2×C22⋊Q8C2×D1112yes—
329C2×C4×Q8—112no—
330C22×C22⋊C4—111no—
331C22×C22⋊C4—111no—
332C22×C42—111no—
333C22×C42C2×D1111yescharacteristic
334#400—114no—
335#400—114no—
336#399—114no—
337#398—114no—
338#398—114no—
339#396—114no—
340#396—114no—
341#393—114no—
342#391—114no—
343#391—112no—
344#391—112no—
345#391C2×D1112yescomplemented
346#389—114no—
347#389—112no—
348#389—112no—
349#389—112no—
350#389C2×D1112yescomplemented
351#389C2×D1112yescomplemented
352#388—114no—
353#388—114no—
354#388—114no—
355#388—114no—
356#387—114no—
357#387—114no—
358#387—114no—
359#385—114no—
360#385—114no—
361#385—114no—
362#385—114no—
363#384—111no—
364#384C2×D1111yescharacteristic, complemented
365#380—112no—
366#380—112no—
367#380—112no—
368#380—112no—
369#380C2×D1112yes—
370#380C2×D1112yes—
371#379—114no—
372C4×C4⋊C4—112no—
373C4×C4⋊C4—114no—
374C4×C22⋊C4—114no—
375C4×C22⋊C4—112no—
376C4×C22⋊C4—112no—
377C4×C22⋊C4—112no—
378C4×C22⋊C4—112no—
379C2×#95—111no—
380C2×#95—111no—
381C22×C11—22no—
382C22×C11—22no—
383C22×C11—22no—
384C22×C11—22no—
385C22×C11—22no—
386C22×C11—22no—
387C22×C11#53314yes—
388C22×C11C23×Q811yescharacteristic
389C22×C11C22×#4111yescharacteristic
390C22×C11C22×#4111yescharacteristic
391C22×C11C2×H(5,𝔽2)11yescharacteristic
392C22×C11C2×H(5,𝔽2)11yescharacteristic
393C22×C11#58511yescharacteristic
394C22×C11#58511yescharacteristic
395C2×D11—24no—
396C2×D11—24no—
397C2×D11—24no—
398C2×D11—416no—
399C2×D11—42no—
400C2×D11—42no—
401C2×D11—42no—
402C2×D11—42no—
403C4×C11—22no—
404C4×C11—22no—
405C4×C11—22no—
406C4×C11—22no—
407C4×C11—22no—
408C4×C11—44no—
409C4×C11—44no—
410C4×C11#53814yes—
411Dic11—24no—
412Dic11—44no—
413Dic11—42no—
414Dic11—44no—
415Dic11—42no—
416C25—111no—
417C22×Q8—112no—
418C22×Q8C22×D1112yes—
419C23×C4—111no—
420C23×C4—111no—
421C23×C4—111no—
422C23×C4—112no—
423C23×C4—112no—
424C23×C4—224no—
425C23×C4—442no—
426C23×C4—442no—
427C23×C4C22×D1111yescharacteristic
428C23×C4C22×D1111yescharacteristic
429C23×C4C22×D1111yescharacteristic
430C4⋊Q8—42no—
431C4⋊Q8—442no—
432C22⋊Q8—28no—
433C22⋊Q8—228no—
434C22⋊Q8—444no—
435C22⋊Q8—444no—
436C4×Q8—444no—
437C2×C4⋊C4—112no—
438C2×C4⋊C4—114no—
439C2×C4⋊C4—114no—
440C2×C4⋊C4—114no—
441C2×C4⋊C4—114no—
442C2×C4⋊C4—112no—
443C2×C4⋊C4—112no—
444C2×C4⋊C4—114no—
445C2×C4⋊C4—112no—
446C2×C4⋊C4—112no—
447C2×C4⋊C4C22×D1112yes—
448C2×C4⋊C4C22×D1112yes—
449C2×C4⋊C4C22×D1112yes—
450C2×C4⋊C4C22×D1114yes—
451C2×C4⋊C4C22×D1112yes—
452C2×C4⋊C4C22×D1112yes—
453C2×C22⋊C4—118no—
454C2×C22⋊C4—112no—
455C2×C22⋊C4—112no—
456C2×C22⋊C4—114no—
457C2×C22⋊C4—112no—
458C2×C22⋊C4—112no—
459C2×C22⋊C4—114no—
460C2×C22⋊C4—114no—
461C2×C22⋊C4—114no—
462C2×C22⋊C4—114no—
463C2×C22⋊C4—224no—
464C2×C22⋊C4C22×D1114yes—
465C2×C42—42no—
466C2×C42—112no—
467C2×C42—114no—
468C2×C42—112no—
469C2×C42—114no—
470C2×C42—442no—
471C2×C42C22×D1111yescharacteristic
472C2×C42C22×D1111yescharacteristic
473C2×C42C22×D1111yescharacteristic
474C2×C42C22×D1111yescharacteristic
475#95—112no—
476#95—112no—
477#95—112no—
478#95—112no—
479#95—114no—
480#95—114no—
481#95—114no—
482#95—114no—
483#95—114no—
484#95—114no—
485#95—114no—
486#95—114no—
487#95C22×D1114yes—
488#95C22×D1114yes—
489C2×C11—24no—
490C2×C11C2×#53311yescharacteristic
491C2×C11C2×#53811yescharacteristic
492C2×C11#345511yescharacteristic
493C2×C11#350111yescharacteristic
494C2×C11#350111yescharacteristic
495C2×C11#350511yescharacteristic
496C2×C11#350611yescharacteristic
497D11—44no—
498C24—112no—
499C24—114no—
500C24—222no—
501C24—222no—
502C24—441no—
503C24—441no—
504C24—441no—
505C24—441no—
506C24C23×D1111yescharacteristic
507C2×Q8—24no—
508C2×Q8—42no—
509C2×Q8—42no—
510C2×Q8—224no—
511C2×Q8—224no—
512C2×Q8—224no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—41no—
516C22×C4—41no—
517C22×C4—41no—
518C22×C4—41no—
519C22×C4—112no—
520C22×C4—114no—
521C22×C4—112no—
522C22×C4—112no—
523C22×C4—114no—
524C22×C4—114no—
525C22×C4—222no—
526C22×C4—222no—
527C22×C4—224no—
528C22×C4—224no—
529C22×C4—224no—
530C22×C4—224no—
531C22×C4—442no—
532C22×C4—442no—
533C22×C4—4416no—
534C22×C4—441no—
535C22×C4—441no—
536C22×C4—441no—
537C22×C4—441no—
538C22×C4—441no—
539C22×C4—441no—
540C22×C4#434114yes—
541C22×C4Q8×D1114yes—
542C22×C4#434314yes—
543C22×C4C23×D1114yes—
544C22×C4C23×D1114yes—
545C22×C4C23×D1111yescharacteristic
546C22×C4C23×D1111yescharacteristic
547C22×C4C23×D1111yescharacteristic
548C22×C4C23×D1111yescharacteristic
549C22×C4C23×D1111yescharacteristic
550C22×C4C23×D1111yescharacteristic
551C4⋊C4—24no—
552C4⋊C4—28no—
553C4⋊C4—24no—
554C4⋊C4—24no—
555C4⋊C4—42no—
556C4⋊C4—42no—
557C4⋊C4—228no—
558C4⋊C4—224no—
559C4⋊C4—444no—
560C4⋊C4—444no—
561C4⋊C4—444no—
562C4⋊C4—442no—
563C4⋊C4—442no—
564C4⋊C4—444no—
565C4⋊C4—442no—
566C4⋊C4—442no—
567C22⋊C4—28no—
568C22⋊C4—118no—
569C22⋊C4—118no—
570C22⋊C4—228no—
571C22⋊C4—224no—
572C22⋊C4—224no—
573C22⋊C4—444no—
574C22⋊C4—444no—
575C22⋊C4—444no—
576C22⋊C4—444no—
577C42—22no—
578C42—22no—
579C42—41no—
580C42—41no—
581C42—224no—
582C42—442no—
583C42—444no—
584C42—444no—
585C11#3501411yescharacteristic, complemented, Sylow
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—114no—
591C23—228no—
592C23—222no—
593C23—222no—
594C23—222no—
595C23—222no—
596C23—222no—
597C23—222no—
598C23—444no—
599C23—444no—
600C23—444no—
601C23—444no—
602C23—444no—
603C23—444no—
604C23C2×#434112yes—
605C23C2×Q8×D1112yes—
606C23C2×#434312yes—
607C23C24×D1111yescharacteristic
608Q8—84no—
609Q8—448no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—28no—
621C2×C4—24no—
622C2×C4—24no—
623C2×C4—24no—
624C2×C4—24no—
625C2×C4—24no—
626C2×C4—24no—
627C2×C4—44no—
628C2×C4—44no—
629C2×C4—114no—
630C2×C4—222no—
631C2×C4—222no—
632C2×C4—222no—
633C2×C4—224no—
634C2×C4—222no—
635C2×C4—224no—
636C2×C4—224no—
637C2×C4—222no—
638C2×C4—222no—
639C2×C4—224no—
640C2×C4—222no—
641C2×C4—224no—
642C2×C4—224no—
643C2×C4—222no—
644C2×C4—448no—
645C2×C4—444no—
646C2×C4—444no—
647C2×C4—444no—
648C2×C4—448no—
649C2×C4C2×#434112yes—
650C2×C4C2×#434112yes—
651C2×C4#6703712yes—
652C2×C4C2×Q8×D1112yes—
653C2×C4C2×Q8×D1112yes—
654C2×C4C2×#434312yes—
655C2×C4C2×#434312yes—
656C2×C4#6704212yes—
657C22—22no—
658C22—22no—
659C22—22no—
660C22—22no—
661C22—22no—
662C22—22no—
663C22—224no—
664C22—224no—
665C22—224no—
666C22—4416no—
667C22—442no—
668C22—442no—
669C22—442no—
670C22—442no—
671C22#1062325914yes—
672C22C22×#434111yescharacteristic
673C22C2×#6703711yescharacteristic
674C22C22×Q8×D1111yescharacteristic
675C22C22×#434311yescharacteristic
676C22C2×#6704211yescharacteristic
677C22#1062345311yescharacteristic
678C22#1062345311yescharacteristic
679C4—22no—
680C4—22no—
681C4—22no—
682C4—22no—
683C4—22no—
684C4—44no—
685C4—44no—
686C4—224no—
687C4—442no—
688C4—442no—
689C4—444no—
690C4—444no—
691C4#1062317514yes—
692C2—24no—
693C2—444no—
694C2C2×#1062325911yescharacteristic
695C2C2×#1062317511yescharacteristic
696C2#1308200811yescharacteristic
697C2#1308241211yescharacteristic
698C2#1308241711yescharacteristic
699C2#1308245011yescharacteristic
700C2#1308246511yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutator, socle, cosocleC23×C11C25
FittingC11×#2857C2
prime radicalC24×D11C23
hypercenter#2857D11
hypocenterC11#35014
LCSG ▷ C23×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2857

Complements

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

NH ≅ G/Ntype
1. #13076968C2semidirect
3. #13074589C2semidirect
5. #13074074C2semidirect
6. #13074044C2semidirect
7. #13073047C2semidirect
8. #13072993C2semidirect
9. #13072213C2semidirect
10. #13072144C2semidirect
11. #13071351C2semidirect
13. #13071144C2semidirect
15. C11×#2857C2semidirect
17. C2×C11×C4⋊Q8C22semidirect
26. C2×#66940C22semidirect
27. C2×#66922C22semidirect
28. C11×#391C22semidirect
29. C11×#389C22semidirect
30. C11×#389C22semidirect
31. C11×#384C22semidirect
35. #10622843C22semidirect
47. #10622599C22semidirect
48. #10622598C22semidirect
49. #10622597C22semidirect
50. #10622594C22semidirect
51. #10622594C22semidirect
52. C4⋊C4×Dic11C22semidirect
53. #10622587C22semidirect
54. #10622586C22semidirect
63. #10622548C22semidirect
64. #10622542C22semidirect
65. #10622541C22semidirect
66. #10622541C22semidirect
71. #10622274C22semidirect
72. #10622273C22semidirect
73. #10622265C22semidirect
74. #10622262C22semidirect
105. C2×(C2×D11)⋊C4Q8semidirect
237. #2857D11semidirect
324. C2×C4⋊Q8C2×D11semidirect
345. #391C2×D11semidirect
350. #389C2×D11semidirect
351. #389C2×D11semidirect
364. #384C2×D11semidirect
585. C11#35014semidirect

Maximal subgroups

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

subgroupindex
#130769682
#130769042
#130745892
#130744232
#130740742
#130740442
#130730472
#130729932
#130722132
#130721442
#130713512
#130712132
#130711442
C2×C4×(C2×D11)⋊C42
C11×#28572
#3501411