Finite Group Databasebeta

← #14916682

Subgroups — #14916682

Order 2816.

2098 conjugacy classes of subgroups.

The subgroup lattice has 692 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623109C211yesmaximal, characteristic
2#13071798C214yesmaximal, complemented
3#13071670C212yesmaximal, complemented
4#13071669C212yesmaximal, complemented
5#13071574C212yesmaximal, complemented
6#13071573C211yesmaximal, characteristic, complemented
7#13071571C211yesmaximal, characteristic, complemented
8#13071528C211yesmaximal, characteristic, complemented
9#13071528C212yesmaximal, complemented
10#13071296C212yesmaximal
11#13071293C214yesmaximal
12#13071292C212yesmaximal
13#13071224C212yesmaximal
14#13071221C212yesmaximal
15#13071021C211yesmaximal, characteristic
16#13071020C211yesmaximal, characteristic
17Q8×C11×C4⋊C4C211yesmaximal, characteristic, complemented
18C2×C4×Q8×C11C2212yes—
19C2×C4×Q8×C11C2211yescharacteristic
20C2×#66999C2211yescharacteristic
21C2×#66997C2211yescharacteristic
22#10623109C4116yescomplemented
23C2×#66950C2211yescharacteristic
24C2×#66949C2212yes—
25C2×#66945C2212yes—
26C2×#66942C2212yes—
27C2×#66941C2211yescharacteristic
28C2×#66940C2214yes—
29C2×#66940C2212yes—
30C2×#66925C2212yes—
31C2×#66925C2212yes—
32C2×C42×D11C2211yescharacteristic
33C2×C4×Dic22C2211yescharacteristic
34C2×C4×Dic22C2212yes—
35C11×#389C2212yes—
36C11×#389C2214yes—
37C11×#384C2212yes—
38C11×#384C2211yescharacteristic
39C4×C11×C4⋊C4C2212yes—
40C4×C11×C4⋊C4C2211yescharacteristic
41#10622843C2212yes—
42#10622603C2214yes—
43#10622603C2214yes—
44#10622600C2211yescharacteristic
45#10622600C2212yes—
46#10622600C2211yescharacteristic
47#10622600C2212yes—
48#10622594C2214yes—
49#10622591C2214yes—
50#10622591C2214yes—
51#10622590C2212yes—
52#10622590C2212yes—
53#10622589C2212yes—
54#10622589C2211yescharacteristic
55#10622589C2211yescharacteristic
56C4⋊C4×Dic11C2212yes—
57C4⋊C4×Dic11C2212yes—
58C4⋊C4×Dic11C2212yes—
59C4⋊C4×Dic11C2212yes—
60C4⋊C4×Dic11C2212yes—
61#10622586C2212yes—
62#10622586C2214yes—
63#10622585C2214yes—
64#10622585C2214yes—
65#10622585C2214yes—
66#10622553C2214yes—
67#10622549C2212yes—
68#10622548C2211yescharacteristic
69C4×C4⋊Dic11C2212yes—
70C4×C4⋊Dic11C2212yes—
71C4×C4⋊Dic11C2211yescharacteristic
72#10622546C2214yes—
73#10622546C2214yes—
74C4×Dic11⋊C4C2212yes—
75C4×Dic11⋊C4C2214yes—
76#10622542C2212yes—
77#10622282C2214yes—
78#10622280C2212yes—
79#10622268C2214yes—
80#10622267C2214yes—
81#10622265C2214yes—
82#10622263C2212yes—
83#10622259C2214yes—
84C22×Q8×C11C2311yescharacteristic
85C22×C4×D11C2311yescharacteristic
86C22×C4×D11C2311yescharacteristic
87C22×C4×D11C2311yescharacteristic
88C22×Dic22C2312yes—
89C22×Dic22C2311yescharacteristic
90C4×Q8×C11—44no—
91C4×Q8×C11C2×C418yes—
92C2×C11×C4⋊C4C2312yes—
93C2×C11×C4⋊C4C2311yescharacteristic
94C2×C11×C4⋊C4C2312yes—
95C2×C11×C4⋊C4C2311yescharacteristic
96C2×C11×C4⋊C4C2314yes—
97C2×C11×C4⋊C4C2312yes—
98C2×C11×C4⋊C4C2314yes—
99C2×C11×C4⋊C4C2311yescharacteristic
100C2×C11×C4⋊C4C2312yes—
101C2×C42×C11C2312yes—
102C2×C42×C11C2314yes—
103C2×C42×C11C2311yescharacteristic
104C2×C42×C11C2312yes—
105#66999C2×C418yes—
106#66997C2×C418yes—
107C2×(C2×D11)⋊C4C2312yes—
108C2×(C2×D11)⋊C4C2312yes—
109C2×(C2×D11)⋊C4C2314yes—
110C2×(C2×D11)⋊C4C2312yes—
111C2×(C2×D11)⋊C4C2312yes—
112C2×C4⋊Dic11C2312yes—
113C2×C4⋊Dic11C2311yescharacteristic
114C2×C4⋊Dic11C2312yes—
115C2×C4⋊Dic11C2311yescharacteristic
116C2×C4⋊Dic11C2312yes—
117C2×C4⋊Dic11C2311yescharacteristic
118C2×C4⋊Dic11C2312yes—
119C2×Dic11⋊C4C2312yes—
120C2×Dic11⋊C4C2312yes—
121C2×Dic11⋊C4C2312yes—
122C2×Dic11⋊C4C2312yes—
123C2×Dic11⋊C4C2314yes—
124C2×Dic11⋊C4C2314yes—
125C2×Dic11⋊C4C2312yes—
126C2×Dic11⋊C4C2312yes—
127C2×Dic11⋊C4C2312yes—
128C2×Dic11⋊C4C2312yes—
129C2×Dic11⋊C4C2312yes—
130C2×C4×Dic11C2312yes—
131C2×C4×Dic11C2314yes—
132C2×C4×Dic11C2314yes—
133C2×C4×Dic11C2314yes—
134C2×C4×Dic11C2314yes—
135C2×C4×Dic11C2311yescharacteristic
136C2×C4×Dic11C2312yes—
137C2×C4×Dic11C2311yescharacteristic
138C2×C4×Dic11C2311yescharacteristic
139#66950C2×C418yes—
140#66949C2×C4116yes—
141#66945—44no—
142#66942C2×C4116yes—
143#66941C2×C418yes—
144#66940—48no—
145#66940—44no—
146#66925—44no—
147#66925C2×C4116yes—
148C42×D11C2×C418yes—
149C4×Dic22C2×C4116yes—
150C4×Dic22C2×C418yes—
151C11×#95C2314yes—
152C11×#95C2312yes—
153C11⋊#95C2314yes—
154C11⋊#95C2314yes—
155C11⋊#95C2314yes—
156C11⋊#95C2312yes—
157C11⋊#95C2312yes—
158C11⋊#95C2312yes—
159C11⋊#95C2314yes—
160C11⋊#95C2314yes—
161C11⋊#95C2314yes—
162C11⋊#95C2314yes—
163C11⋊#95C2314yes—
164C11⋊#95C2314yes—
165#34374—111nomaximal, Sylow
166C23×D11C2411yescharacteristic
167C2×Q8×C11—22no—
168C2×Q8×C11—22no—
169C2×Q8×C11C22×C414yes—
170C22×C4×C11C2412yes—
171C22×C4×C11C2414yes—
172C22×C4×C11C2412yes—
173C22×C4×C11C2412yes—
174C22×C4×C11C2412yes—
175C22×C4×C11C2411yescharacteristic
176C22×C4×C11C2411yescharacteristic
177C22×C4×C11C2411yescharacteristic
178C22×Dic11C2412yes—
179C22×Dic11C2414yes—
180C22×Dic11C2412yes—
181C22×Dic11C2411yescharacteristic
182C22×Dic11C2412yes—
183C22×Dic11C2412yes—
184C22×Dic11C2411yescharacteristic
185C22×Dic11C2411yescharacteristic
186C2×C4×D11—22no—
187C2×C4×D11—22no—
188C2×C4×D11—22no—
189C2×C4×D11—22no—
190C2×C4×D11—22no—
191C2×C4×D11—22no—
192C2×C4×D11C22×C414yes—
193C2×C4×D11C22×C414yes—
194C2×C4×D11C22×C414yes—
195C2×Dic22—24no—
196C2×Dic22—24no—
197C2×Dic22—22no—
198C2×Dic22—22no—
199C2×Dic22C22×C418yes—
200C2×Dic22C22×C414yes—
201C11×C4⋊C4—24no—
202C11×C4⋊C4—22no—
203C11×C4⋊C4—22no—
204C11×C4⋊C4—24no—
205C11×C4⋊C4—44no—
206C11×C4⋊C4—42no—
207C11×C4⋊C4—44no—
208C11×C4⋊C4C22×C414yes—
209C11×C4⋊C4C22×C418yes—
210C42×C11—24no—
211C42×C11—44no—
212C42×C11C22×C414yes—
213C42×C11C22×C418yes—
214(C2×D11)⋊C4—42no—
215(C2×D11)⋊C4—42no—
216(C2×D11)⋊C4—44no—
217(C2×D11)⋊C4C22×C418yes—
218(C2×D11)⋊C4C22×C418yes—
219C4⋊Dic11—24no—
220C4⋊Dic11—22no—
221C4⋊Dic11—24no—
222C4⋊Dic11—22no—
223C4⋊Dic11—42no—
224C4⋊Dic11C22×C414yes—
225C4⋊Dic11C22×C418yes—
226Dic11⋊C4—24no—
227Dic11⋊C4—24no—
228Dic11⋊C4—42no—
229Dic11⋊C4—42no—
230Dic11⋊C4—44no—
231Dic11⋊C4—44no—
232Dic11⋊C4C22×C418yes—
233Dic11⋊C4C22×C418yes—
234Dic11⋊C4C22×C418yes—
235Dic11⋊C4C22×C418yes—
236Dic11⋊C4C22×C418yes—
237C4×Dic11—28no—
238C4×Dic11—24no—
239C4×Dic11—44no—
240C4×Dic11—44no—
241C4×Dic11—44no—
242C4×Dic11C22×C414yes—
243C4×Dic11C22×C418yes—
244C4×Dic11C22×C414yes—
245C4×Dic11C22×C414yes—
246C2×#533—111no—
247#2382—114no—
248#2365—112no—
249#2365—112no—
250#2355—111no—
251#2355—112no—
252#2355—111no—
253Q8×C4⋊C4—111no—
254Q8×C4⋊C4—112no—
255Q8×C4⋊C4D1111yescharacteristic, complemented
256#2323—114no—
257#2323—112no—
258#2323—112no—
259#2314—112no—
260#2314—112no—
261#2285—111no—
262#2285—111no—
263C23×C11C2511yescharacteristic
264C22×D11—21no—
265C22×D11—21no—
266C22×D11—21no—
267C22×D11—21no—
268C22×D11—21no—
269C22×D11—21no—
270C22×D11C23×C412yes—
271Q8×C11—28no—
272C2×C4×C11—22no—
273C2×C4×C11—21no—
274C2×C4×C11—22no—
275C2×C4×C11—22no—
276C2×C4×C11—21no—
277C2×C4×C11—22no—
278C2×C4×C11—24no—
279C2×C4×C11—22no—
280C2×C4×C11—24no—
281C2×C4×C11—22no—
282C2×C4×C11—22no—
283C2×C4×C11—22no—
284C2×C4×C11—22no—
285C2×C4×C11—24no—
286C2×C4×C11—22no—
287C2×C4×C11C23×C412yes—
288C2×C4×C11C23×C414yes—
289C2×C4×C11C23×C414yes—
290C2×C4×C11C23×C412yes—
291C2×C4×C11C23×C412yes—
292C2×C4×C11H(5,𝔽2)12yes—
293C2×C4×C112−1+412yes—
294C2×C4×C112−1+412yes—
295C2×C4×C112−1+412yes—
296C2×Dic11—22no—
297C2×Dic11—22no—
298C2×Dic11—21no—
299C2×Dic11—22no—
300C2×Dic11—22no—
301C2×Dic11—21no—
302C2×Dic11—21no—
303C2×Dic11—21no—
304C2×Dic11—22no—
305C2×Dic11—24no—
306C2×Dic11—22no—
307C2×Dic11—22no—
308C2×Dic11—22no—
309C2×Dic11—22no—
310C2×Dic11—24no—
311C2×Dic11—24no—
312C2×Dic11—22no—
313C2×Dic11C23×C412yes—
314C2×Dic11C23×C412yes—
315C2×Dic11C23×C414yes—
316C2×Dic11C23×C414yes—
317C2×Dic11C23×C412yes—
318C2×Dic11H(5,𝔽2)12yes—
319C2×Dic112−1+412yes—
320C4×D11—28no—
321C4×D11—28no—
322C4×D11—28no—
323Dic22—28no—
324Dic22—216no—
325#533—1116no—
326C2×C4⋊Q8—111no—
327C2×C4⋊Q8—111no—
328C2×#125—112no—
329C2×C22⋊Q8—111no—
330C2×C22⋊Q8—112no—
331C2×C22⋊Q8—111no—
332C2×C4×Q8—114no—
333C2×C4×Q8—112no—
334C2×C4×Q8—111no—
335C2×C4×Q8—112no—
336C2×C4×Q8C2×D1112yes—
337C2×C4×Q8C2×D1111yescharacteristic
338C2×#117—112no—
339C2×#117—112no—
340C2×#117—112no—
341C22×C42—111no—
342#391—112no—
343#391—112no—
344#391—114no—
345#389—114no—
346#389—112no—
347#389—114no—
348#389—114no—
349#389—114no—
350#389C2×D1112yes—
351#389C2×D1114yes—
352#388—114no—
353#388—114no—
354#388—114no—
355#388—114no—
356#387—114no—
357#387—114no—
358#387—114no—
359#387—114no—
360#387—114no—
361#387—114no—
362#387—114no—
363#387—114no—
364#384—112no—
365#384—111no—
366#384—111no—
367#384—111no—
368#384C2×D1112yes—
369#384C2×D1111yescharacteristic
370#382—112no—
371#382—112no—
372#382—112no—
373#382—112no—
374#380—111no—
375#380—112no—
376#380—111no—
377#380—112no—
378#380—112no—
379C4×C4⋊C4—112no—
380C4×C4⋊C4—112no—
381C4×C4⋊C4—112no—
382C4×C4⋊C4—112no—
383C4×C4⋊C4—112no—
384C4×C4⋊C4—112no—
385C4×C4⋊C4—114no—
386C4×C4⋊C4—112no—
387C4×C4⋊C4—111no—
388C4×C4⋊C4—112no—
389C4×C4⋊C4C2×D1112yes—
390C4×C4⋊C4C2×D1111yescharacteristic
391C22×C11C24×C411yescharacteristic
392C22×C11C2×H(5,𝔽2)11yescharacteristic
393C22×C11C2×H(5,𝔽2)11yescharacteristic
394C22×C11C2×2−1+411yescharacteristic
395C22×C11C2×2−1+411yescharacteristic
396C22×C11C2×2−1+411yescharacteristic
397C22×C11C2×2−1+411yescharacteristic
398C2×D11—22no—
399C2×D11—22no—
400C2×D11—22no—
401C2×D11—41no—
402C2×D11—41no—
403C2×D11—41no—
404C2×D11—41no—
405C4×C11—24no—
406C4×C11—24no—
407C4×C11—22no—
408C4×C11—44no—
409C4×C11—42no—
410C4×C11—42no—
411C4×C11#51914yes—
412C4×C11#52014yes—
413Dic11—22no—
414Dic11—24no—
415Dic11—24no—
416Dic11—22no—
417Dic11—42no—
418Dic11—44no—
419Dic11—42no—
420Dic11#52014yes—
421C22×Q8—112no—
422C22×Q8—111no—
423C22×Q8C22×D1111yescharacteristic
424C23×C4—111no—
425C23×C4—111no—
426C23×C4—111no—
427C4⋊Q8—118no—
428C4⋊Q8—118no—
429#125—1116no—
430C22⋊Q8—118no—
431C22⋊Q8—1116no—
432C22⋊Q8—118no—
433C4×Q8—44no—
434C4×Q8—1116no—
435C4×Q8—118no—
436C4×Q8—444no—
437C4×Q8—448no—
438C4×Q8C4×D1118yes—
439#117—1116no—
440#117—444no—
441#117—444no—
442C2×C4⋊C4—112no—
443C2×C4⋊C4—112no—
444C2×C4⋊C4—112no—
445C2×C4⋊C4—112no—
446C2×C4⋊C4—112no—
447C2×C4⋊C4—112no—
448C2×C4⋊C4—111no—
449C2×C4⋊C4—112no—
450C2×C4⋊C4—111no—
451C2×C4⋊C4—112no—
452C2×C4⋊C4—111no—
453C2×C4⋊C4—112no—
454C2×C4⋊C4—112no—
455C2×C4⋊C4—112no—
456C2×C4⋊C4—112no—
457C2×C4⋊C4—112no—
458C2×C4⋊C4—114no—
459C2×C4⋊C4—114no—
460C2×C4⋊C4C22×D1112yes—
461C2×C4⋊C4C22×D1111yescharacteristic
462C2×C4⋊C4C22×D1112yes—
463C2×C4⋊C4C22×D1111yescharacteristic
464C2×C4⋊C4C22×D1112yes—
465C2×C4⋊C4C22×D1114yes—
466C2×C4⋊C4C22×D1114yes—
467C2×C4⋊C4C22×D1112yes—
468C2×C4⋊C4C22×D1111yescharacteristic
469C2×C22⋊C4—112no—
470C2×C22⋊C4—112no—
471C2×C22⋊C4—114no—
472C2×C22⋊C4—112no—
473C2×C22⋊C4—112no—
474C2×C42—112no—
475C2×C42—111no—
476C2×C42—111no—
477C2×C42—111no—
478C2×C42—118no—
479C2×C42—114no—
480C2×C42—112no—
481C2×C42—114no—
482C2×C42—114no—
483C2×C42—114no—
484C2×C42C22×D1112yes—
485C2×C42C22×D1114yes—
486C2×C42C22×D1112yes—
487C2×C42C22×D1111yescharacteristic
488#95—112no—
489#95—114no—
490#95—112no—
491#95—114no—
492#95—112no—
493#95—114no—
494#95—114no—
495#95—114no—
496#95—114no—
497#95—114no—
498#95—114no—
499#95—114no—
500#95C22×D1112yes—
501#95C22×D1114yes—
502C2×C11C2×#51911yescharacteristic
503C2×C11C2×#52011yescharacteristic
504C2×C11C2×#52011yescharacteristic
505C2×C11#354811yescharacteristic
506C2×C11#355011yescharacteristic
507C2×C11#355011yescharacteristic
508C2×C11#355611yescharacteristic
509D11—42no—
510C24—111no—
511C2×Q8—22no—
512C2×Q8—22no—
513C2×Q8—118no—
514C2×Q8—114no—
515C2×Q8—224no—
516C2×Q8—224no—
517C2×Q8—222no—
518C2×Q8—222no—
519C2×Q8C2×C4×D1114yes—
520C22×C4—111no—
521C22×C4—111no—
522C22×C4—112no—
523C22×C4—112no—
524C22×C4—111no—
525C22×C4—114no—
526C22×C4—114no—
527C22×C4—114no—
528C22×C4—112no—
529C22×C4—114no—
530C22×C4—112no—
531C22×C4—222no—
532C22×C4—222no—
533C22×C4—222no—
534C22×C4—222no—
535C22×C4—222no—
536C22×C4—222no—
537C22×C4C23×D1112yes—
538C22×C4C23×D1112yes—
539C22×C4C23×D1114yes—
540C22×C4C23×D1112yes—
541C22×C4C23×D1112yes—
542C22×C4C23×D1111yescharacteristic
543C22×C4C23×D1111yescharacteristic
544C22×C4C23×D1111yescharacteristic
545C4⋊C4—24no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—24no—
549C4⋊C4—42no—
550C4⋊C4—44no—
551C4⋊C4—44no—
552C4⋊C4—118no—
553C4⋊C4—118no—
554C4⋊C4—118no—
555C4⋊C4—118no—
556C4⋊C4—118no—
557C4⋊C4—118no—
558C4⋊C4—114no—
559C4⋊C4—224no—
560C4⋊C4—224no—
561C4⋊C4—224no—
562C4⋊C4—224no—
563C4⋊C4—222no—
564C4⋊C4—222no—
565C4⋊C4—442no—
566C4⋊C4—442no—
567C4⋊C4—442no—
568C4⋊C4—444no—
569C4⋊C4—444no—
570C4⋊C4C2×C4×D1118yes—
571C4⋊C4C2×C4×D1114yes—
572C22⋊C4—118no—
573C22⋊C4—118no—
574C22⋊C4—442no—
575C22⋊C4—442no—
576C22⋊C4—444no—
577C42—24no—
578C42—44no—
579C42—114no—
580C42—114no—
581C42—114no—
582C42—118no—
583C42—228no—
584C42—224no—
585C42—444no—
586C42—444no—
587C42—444no—
588C42C2×C4×D1114yes—
589C42C2×C4×D1118yes—
590C11#3437411yescharacteristic, complemented, Sylow
591C23—112no—
592C23—221no—
593C23—221no—
594C23—221no—
595C23—221no—
596C23—221no—
597C23—221no—
598C23C24×D1111yescharacteristic
599Q8—28no—
600Q8—2216no—
601Q8—228no—
602C2×C4—22no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—24no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—24no—
614C2×C4—24no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—112no—
618C2×C4—112no—
619C2×C4—112no—
620C2×C4—112no—
621C2×C4—112no—
622C2×C4—114no—
623C2×C4—114no—
624C2×C4—228no—
625C2×C4—222no—
626C2×C4—221no—
627C2×C4—221no—
628C2×C4—221no—
629C2×C4—222no—
630C2×C4—221no—
631C2×C4—222no—
632C2×C4—222no—
633C2×C4—228no—
634C2×C4—228no—
635C2×C4—222no—
636C2×C4—222no—
637C2×C4—224no—
638C2×C4—224no—
639C2×C4—222no—
640C2×C4—222no—
641C2×C4—224no—
642C2×C4—222no—
643C2×C4—222no—
644C2×C4C22×C4×D1112yes—
645C2×C4C22×C4×D1114yes—
646C2×C4C22×C4×D1114yes—
647C2×C4C22×C4×D1112yes—
648C2×C4C22×C4×D1112yes—
649C2×C4#6703712yes—
650C2×C4#6704012yes—
651C2×C4#6704012yes—
652C2×C4#6704312yes—
653C22—222no—
654C22—222no—
655C22—222no—
656C22—441no—
657C22—441no—
658C22—441no—
659C22—441no—
660C22C23×C4×D1111yescharacteristic
661C22C2×#6703711yescharacteristic
662C22C2×#6704011yescharacteristic
663C22C2×#6704011yescharacteristic
664C22C2×#6704311yescharacteristic
665C22D11×H(5,𝔽2)11yescharacteristic
666C22D11×2−1+411yescharacteristic
667C4—22no—
668C4—24no—
669C4—24no—
670C4—42no—
671C4—44no—
672C4—42no—
673C4—114no—
674C4—222no—
675C4—224no—
676C4—222no—
677C4—224no—
678C4—442no—
679C4—444no—
680C4—442no—
681C4#1062303514yes—
682C4#1062310314yes—
683C2—442no—
684C2C2×#1062310311yescharacteristic
685C2D11×#52011yescharacteristic
686C2C2×#1062303511yescharacteristic
687C2#1308300911yescharacteristic
688C2#1308302211yescharacteristic
689C2#1308302311yescharacteristic
690C2#1308310811yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingQ8×C11×C4⋊C4C2
socle, cosocleC23×C11C25
prime radicalC23×D11C24
hypercenterQ8×C4⋊C4D11
hypocenterC11#34374
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ Q8×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. #13071798C2semidirect
3. #13071670C2semidirect
4. #13071669C2semidirect
5. #13071574C2semidirect
6. #13071573C2semidirect
7. #13071571C2semidirect
8. #13071528C2semidirect
9. #13071528C2semidirect
17. Q8×C11×C4⋊C4C2semidirect
22. #10623109C4semidirect
255. Q8×C4⋊C4D11semidirect
590. C11#34374semidirect

Maximal subgroups

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

subgroupindex
C2×#106231092
#130717982
#130716702
#130716692
#130715742
#130715732
#130715712
#130715282
#130712962
#130712932
#130712922
#130712242
#130712212
#130710212
#130710202
Q8×C11×C4⋊C42
#3437411