Finite Group Databasebeta

← #14913903

Subgroups — #14913903

Order 2816.

2250 conjugacy classes of subgroups.

The subgroup lattice has 696 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×Q8×D11C211yesmaximal, characteristic
2#13071580C212yesmaximal, complemented
3#13071578C214yesmaximal, complemented
4#13071577C212yesmaximal, complemented
5#13071575C211yesmaximal, characteristic, complemented
6#13071574C212yesmaximal, complemented
7#13071573C211yesmaximal, characteristic, complemented
8#13071571C211yesmaximal, characteristic, complemented
9#13071568C212yesmaximal, complemented
10#13071215C214yesmaximal
11#13071199C212yesmaximal
12#13071021C211yesmaximal, characteristic
13#13071020C211yesmaximal, characteristic
14#13071012C212yesmaximal
15#13071009C212yesmaximal
16#13070970C212yesmaximal
17C11×#2355C211yesmaximal, characteristic, complemented
18C22×Q8×D11C2211yescharacteristic
19C2×C4×Q8×C11C2211yescharacteristic
20C2×Q8×Dic11C2211yescharacteristic
21C4×Q8×D11C4116yescomplemented
22C2×#66945C2212yes—
23C2×C4⋊C4×D11C2212yes—
24C2×C4⋊C4×D11C2211yescharacteristic
25C2×#66940C2211yescharacteristic
26C2×#66940C2212yes—
27C2×#66925C2212yes—
28C2×C42×D11C2212yes—
29C2×C42×D11C2211yescharacteristic
30C2×C4×Dic22C2212yes—
31C2×C4×Dic22C2211yescharacteristic
32C11×#391C2212yes—
33C11×#387C2214yes—
34C11×#384C2211yescharacteristic
35C11×#382C2212yes—
36C4×C11×C4⋊C4C2212yes—
37C4×C11×C4⋊C4C2212yes—
38C4×C11×C4⋊C4C2211yescharacteristic
39#10622843C2212yes—
40#10622600C2212yes—
41#10622600C2211yescharacteristic
42#10622600C2212yes—
43#10622600C2211yescharacteristic
44#10622594C2214yes—
45#10622591C2214yes—
46#10622590C2212yes—
47#10622590C2212yes—
48#10622590C2212yes—
49#10622589C2211yescharacteristic
50#10622589C2211yescharacteristic
51C4⋊C4×Dic11C2212yes—
52C4⋊C4×Dic11C2212yes—
53C4⋊C4×Dic11C2212yes—
54C4⋊C4×Dic11C2212yes—
55C4⋊C4×Dic11C2212yes—
56C4⋊C4×Dic11C2212yes—
57#10622587C2212yes—
58C4×(C2×D11)⋊C4C2214yes—
59#10622549C2212yes—
60#10622548C2211yescharacteristic
61C4×C4⋊Dic11C2212yes—
62C4×C4⋊Dic11C2212yes—
63C4×C4⋊Dic11C2211yescharacteristic
64#10622546C2214yes—
65#10622545C2214yes—
66C4×Dic11⋊C4C2214yes—
67C4×Dic11⋊C4C2212yes—
68#10622542C2212yes—
69#10622280C2212yes—
70#10622279C2214yes—
71#10622277C2214yes—
72#10622277C2214yes—
73#10622268C2214yes—
74#10622267C2214yes—
75#10622266C2214yes—
76#10622265C2214yes—
77#10622264C2214yes—
78#10622264C2214yes—
79#10622263C2212yes—
80#10622262C2214yes—
81#10622261C2214yes—
82#10622259C2214yes—
83#10622259C2214yes—
84C22×Q8×C11C2311yescharacteristic
85C2×Q8×D11—24no—
86C2×Q8×D11—24no—
87C2×Q8×D11C2×C418yes—
88C22×C4×D11C2311yescharacteristic
89C22×C4×D11C2312yes—
90C22×C4×D11C2312yes—
91C22×C4×D11C2311yescharacteristic
92C22×C4×D11C2311yescharacteristic
93C22×Dic22C2312yes—
94C22×Dic22C2311yescharacteristic
95C4×Q8×C11C2×C418yes—
96C2×C11×C4⋊C4C2312yes—
97C2×C11×C4⋊C4C2311yescharacteristic
98C2×C11×C4⋊C4C2312yes—
99C2×C11×C4⋊C4C2311yescharacteristic
100C2×C11×C4⋊C4C2312yes—
101C2×C11×C4⋊C4C2311yescharacteristic
102C2×C11×C4⋊C4C2312yes—
103C2×C42×C11C2312yes—
104C2×C42×C11C2314yes—
105C2×C42×C11C2311yescharacteristic
106C2×C42×C11C2312yes—
107Q8×Dic11C2×C418yes—
108C2×(C2×D11)⋊C4C2312yes—
109C2×(C2×D11)⋊C4C2312yes—
110C2×(C2×D11)⋊C4C2314yes—
111C2×C4⋊Dic11C2312yes—
112C2×C4⋊Dic11C2311yescharacteristic
113C2×C4⋊Dic11C2312yes—
114C2×C4⋊Dic11C2311yescharacteristic
115C2×C4⋊Dic11C2312yes—
116C2×C4⋊Dic11C2312yes—
117C2×C4⋊Dic11C2311yescharacteristic
118C2×Dic11⋊C4C2312yes—
119C2×Dic11⋊C4C2312yes—
120C2×Dic11⋊C4C2312yes—
121C2×Dic11⋊C4C2312yes—
122C2×Dic11⋊C4C2312yes—
123C2×Dic11⋊C4C2312yes—
124C2×Dic11⋊C4C2312yes—
125C2×C4×Dic11C2312yes—
126C2×C4×Dic11C2314yes—
127C2×C4×Dic11C2314yes—
128C2×C4×Dic11C2314yes—
129C2×C4×Dic11C2314yes—
130C2×C4×Dic11C2311yescharacteristic
131C2×C4×Dic11C2312yes—
132C2×C4×Dic11C2311yescharacteristic
133C2×C4×Dic11C2312yes—
134C2×C4×Dic11C2312yes—
135C2×C4×Dic11C2311yescharacteristic
136#66945—28no—
137C4⋊C4×D11C2×C4116yes—
138C4⋊C4×D11C2×C418yes—
139#66940C2×C418yes—
140#66940C2×C4116yes—
141#66925—28no—
142C42×D11C2×C4116yes—
143C42×D11C2×C418yes—
144C4×Dic22C2×C4116yes—
145C4×Dic22C2×C418yes—
146C11×#95C2314yes—
147C11×#95C2314yes—
148C11×#95C2314yes—
149C11×#95C2312yes—
150C11⋊#95C2314yes—
151C11⋊#95C2314yes—
152C11⋊#95C2314yes—
153C11⋊#95C2314yes—
154C11⋊#95C2314yes—
155C11⋊#95C2314yes—
156C11⋊#95C2312yes—
157C11⋊#95C2314yes—
158C11⋊#95C2314yes—
159C11⋊#95C2312yes—
160C11⋊#95C2312yes—
161C11⋊#95C2314yes—
162C11⋊#95C2314yes—
163C11⋊#95C2314yes—
164#34187—111nomaximal, Sylow
165C23×D11C2411yescharacteristic
166C2×Q8×C11—22no—
167C2×Q8×C11—22no—
168C2×Q8×C11C22×C414yes—
169C22×C4×C11C2414yes—
170C22×C4×C11C2412yes—
171C22×C4×C11C2412yes—
172C22×C4×C11C2412yes—
173C22×C4×C11C2412yes—
174C22×C4×C11C2411yescharacteristic
175C22×C4×C11C2411yescharacteristic
176C22×C4×C11C2411yescharacteristic
177C22×Dic11C2412yes—
178C22×Dic11C2412yes—
179C22×Dic11C2414yes—
180C22×Dic11C2411yescharacteristic
181C22×Dic11C2412yes—
182C22×Dic11C2412yes—
183C22×Dic11C2411yescharacteristic
184C22×Dic11C2411yescharacteristic
185Q8×D11—232no—
186C2×C4×D11—24no—
187C2×C4×D11—24no—
188C2×C4×D11—22no—
189C2×C4×D11—22no—
190C2×C4×D11—42no—
191C2×C4×D11—41no—
192C2×C4×D11—42no—
193C2×C4×D11—41no—
194C2×C4×D11C22×C414yes—
195C2×C4×D11C22×C418yes—
196C2×C4×D11C22×C418yes—
197C2×C4×D11C22×C414yes—
198C2×C4×D11C22×C414yes—
199C2×C4×D11#4114yes—
200C2×C4×D11#4114yes—
201C2×Dic22—24no—
202C2×Dic22—24no—
203C2×Dic22—22no—
204C2×Dic22—22no—
205C2×Dic22C22×C418yes—
206C2×Dic22C22×C414yes—
207C11×C4⋊C4—24no—
208C11×C4⋊C4—22no—
209C11×C4⋊C4—22no—
210C11×C4⋊C4—24no—
211C11×C4⋊C4—42no—
212C11×C4⋊C4C22×C418yes—
213C11×C4⋊C4C22×C414yes—
214C42×C11—24no—
215C42×C11—44no—
216C42×C11C22×C418yes—
217C42×C11C22×C414yes—
218(C2×D11)⋊C4—24no—
219(C2×D11)⋊C4—24no—
220(C2×D11)⋊C4—28no—
221C4⋊Dic11—24no—
222C4⋊Dic11—24no—
223C4⋊Dic11—22no—
224C4⋊Dic11—22no—
225C4⋊Dic11—42no—
226C4⋊Dic11C22×C418yes—
227C4⋊Dic11C22×C414yes—
228Dic11⋊C4—24no—
229Dic11⋊C4—24no—
230Dic11⋊C4—42no—
231Dic11⋊C4—42no—
232Dic11⋊C4C22×C418yes—
233Dic11⋊C4C22×C418yes—
234Dic11⋊C4C22×C418yes—
235C4×Dic11—28no—
236C4×Dic11—24no—
237C4×Dic11—44no—
238C4×Dic11—44no—
239C4×Dic11—44no—
240C4×Dic11C22×C418yes—
241C4×Dic11C22×C414yes—
242C4×Dic11C22×C418yes—
243C4×Dic11C22×C414yes—
244C4×Dic11C22×C418yes—
245C4×Dic11C22×C414yes—
246C22×C4×Q8—111no—
247#2356—112no—
248#2356—114no—
249#2356—112no—
250#2355—111no—
251#2355—112no—
252#2355—111no—
253#2355—112no—
254#2355—111no—
255#2355D1111yescharacteristic, complemented
256#2313—114no—
257#2310—112no—
258#2285—111no—
259#2285—111no—
260#2283—112no—
261#2283—112no—
262#2274—112no—
263C23×C11C2511yescharacteristic
264C22×D11—21no—
265C22×D11—21no—
266C22×D11—21no—
267C22×D11—21no—
268C22×D11C23×C412yes—
269C22×D11C2×#4112yes—
270C22×D11C2×#4112yes—
271Q8×C11—28no—
272C2×C4×C11—22no—
273C2×C4×C11—22no—
274C2×C4×C11—22no—
275C2×C4×C11—21no—
276C2×C4×C11—22no—
277C2×C4×C11—21no—
278C2×C4×C11—24no—
279C2×C4×C11—22no—
280C2×C4×C11—22no—
281C2×C4×C11—22no—
282C2×C4×C11—24no—
283C2×C4×C11—22no—
284C2×C4×C11—22no—
285C2×C4×C11—24no—
286C2×C4×C11—22no—
287C2×C4×C11C23×C414yes—
288C2×C4×C11C23×C412yes—
289C2×C4×C11C23×C414yes—
290C2×C4×C11C23×C412yes—
291C2×C4×C11C23×C412yes—
292C2×C4×C11C2×#4112yes—
293C2×C4×C11C2×#4112yes—
294C2×C4×C112−1+412yes—
295C2×C4×C112−1+412yes—
296C2×Dic11—22no—
297C2×Dic11—22no—
298C2×Dic11—21no—
299C2×Dic11—21no—
300C2×Dic11—22no—
301C2×Dic11—22no—
302C2×Dic11—21no—
303C2×Dic11—21no—
304C2×Dic11—22no—
305C2×Dic11—22no—
306C2×Dic11—24no—
307C2×Dic11—22no—
308C2×Dic11—24no—
309C2×Dic11—22no—
310C2×Dic11—22no—
311C2×Dic11—22no—
312C2×Dic11—24no—
313C2×Dic11C23×C412yes—
314C2×Dic11C23×C414yes—
315C2×Dic11C23×C412yes—
316C2×Dic11C23×C414yes—
317C2×Dic11C23×C412yes—
318C2×Dic11C2×#4112yes—
319C2×Dic11C2×#4112yes—
320C4×D11—216no—
321C4×D11—28no—
322C4×D11—48no—
323C4×D11—44no—
324C4×D11#117116yes—
325Dic22—28no—
326Dic22—216no—
327C23×Q8—111no—
328C2×C4×Q8—111no—
329C2×C4×Q8—1116no—
330C2×C4×Q8—112no—
331C2×C4×Q8—111no—
332C2×C4×Q8—111no—
333C2×C4×Q8—112no—
334C2×C4×Q8C2×D1111yescharacteristic
335C2×#117—112no—
336C2×#117—112no—
337C22×C4⋊C4—112no—
338C22×C4⋊C4—111no—
339C22×C42—112no—
340C22×C42—111no—
341#391—112no—
342#391—112no—
343#391—112no—
344#391—114no—
345#391—114no—
346#391C2×D1112yes—
347#387—114no—
348#387—114no—
349#387—114no—
350#387—114no—
351#387—114no—
352#387—114no—
353#387—114no—
354#387C2×D1114yes—
355#384—111no—
356#384—111no—
357#384—111no—
358#384C2×D1111yescharacteristic
359#383—114no—
360#383—114no—
361#382—112no—
362#382—112no—
363#382—112no—
364#382—112no—
365#382—112no—
366#382C2×D1112yes—
367#381—114no—
368#381—114no—
369#380—112no—
370#380—112no—
371#380—111no—
372#380—111no—
373#380—112no—
374C4×C4⋊C4—112no—
375C4×C4⋊C4—112no—
376C4×C4⋊C4—112no—
377C4×C4⋊C4—112no—
378C4×C4⋊C4—112no—
379C4×C4⋊C4—112no—
380C4×C4⋊C4—112no—
381C4×C4⋊C4—111no—
382C4×C4⋊C4—114no—
383C4×C4⋊C4—112no—
384C4×C4⋊C4—112no—
385C4×C4⋊C4—114no—
386C4×C4⋊C4C2×D1112yes—
387C4×C4⋊C4C2×D1111yescharacteristic
388C4×C4⋊C4C2×D1112yes—
389C4×C22⋊C4—114no—
390C4×C22⋊C4—114no—
391#376—114no—
392#376—114no—
393C22×C11C24×C411yescharacteristic
394C22×C11C22×#4111yescharacteristic
395C22×C11C22×#4111yescharacteristic
396C22×C11C2×2−1+411yescharacteristic
397C22×C11C2×2−1+411yescharacteristic
398C22×C11#58511yescharacteristic
399C22×C11#58511yescharacteristic
400C2×D11—22no—
401C2×D11—22no—
402C2×D11—22no—
403C2×D11—22no—
404C2×D11—22no—
405C2×D11—22no—
406C2×D11C2×#11714yes—
407C4×C11—24no—
408C4×C11—24no—
409C4×C11—22no—
410C4×C11—42no—
411C4×C11—44no—
412C4×C11—42no—
413C4×C11C2×#11714yes—
414C4×C11#51914yes—
415Dic11—24no—
416Dic11—22no—
417Dic11—24no—
418Dic11—22no—
419Dic11—42no—
420Dic11—42no—
421Dic11—44no—
422Dic11C2×#11714yes—
423C22×Q8—118no—
424C22×Q8—112no—
425C22×Q8—111no—
426C22×Q8—224no—
427C22×Q8—224no—
428C22×Q8C22×D1111yescharacteristic
429C23×C4—111no—
430C23×C4—112no—
431C23×C4—111no—
432C23×C4—112no—
433C23×C4—111no—
434C4×Q8—118no—
435C4×Q8—1116no—
436C4×Q8—118no—
437C4×Q8—1116no—
438C4×Q8—118no—
439C4×Q8C4×D1118yes—
440#117—228no—
441#117—228no—
442C2×C4⋊C4—112no—
443C2×C4⋊C4—111no—
444C2×C4⋊C4—112no—
445C2×C4⋊C4—112no—
446C2×C4⋊C4—112no—
447C2×C4⋊C4—118no—
448C2×C4⋊C4—1116no—
449C2×C4⋊C4—112no—
450C2×C4⋊C4—112no—
451C2×C4⋊C4—112no—
452C2×C4⋊C4—111no—
453C2×C4⋊C4—112no—
454C2×C4⋊C4—111no—
455C2×C4⋊C4—112no—
456C2×C4⋊C4—112no—
457C2×C4⋊C4—112no—
458C2×C4⋊C4C22×D1112yes—
459C2×C4⋊C4C22×D1112yes—
460C2×C4⋊C4C22×D1111yescharacteristic
461C2×C4⋊C4C22×D1111yescharacteristic
462C2×C4⋊C4C22×D1112yes—
463C2×C4⋊C4C22×D1111yescharacteristic
464C2×C4⋊C4C22×D1112yes—
465C2×C22⋊C4—114no—
466C2×C22⋊C4—112no—
467C2×C22⋊C4—112no—
468C2×C42—112no—
469C2×C42—112no—
470C2×C42—111no—
471C2×C42—111no—
472C2×C42—112no—
473C2×C42—111no—
474C2×C42—118no—
475C2×C42—1116no—
476C2×C42—114no—
477C2×C42—112no—
478C2×C42—114no—
479C2×C42—114no—
480C2×C42—114no—
481C2×C42C22×D1112yes—
482C2×C42C22×D1114yes—
483C2×C42C22×D1112yes—
484C2×C42C22×D1111yescharacteristic
485#95—114no—
486#95—112no—
487#95—112no—
488#95—114no—
489#95—114no—
490#95—114no—
491#95—114no—
492#95—114no—
493#95—114no—
494#95—114no—
495#95—112no—
496#95—114no—
497#95—114no—
498#95—114no—
499#95C22×D1114yes—
500#95C22×D1114yes—
501#95C22×D1112yes—
502#95C22×D1114yes—
503C2×C11C22×#11711yescharacteristic
504C2×C11C2×#51911yescharacteristic
505C2×C11#342811yescharacteristic
506C2×C11#350711yescharacteristic
507C2×C11#350711yescharacteristic
508C2×C11#350711yescharacteristic
509C2×C11#350711yescharacteristic
510D11—24no—
511C24—111no—
512C2×Q8—22no—
513C2×Q8—22no—
514C2×Q8—118no—
515C2×Q8—114no—
516C2×Q8—224no—
517C2×Q8—224no—
518C2×Q8—2232no—
519C2×Q8—222no—
520C2×Q8—222no—
521C2×Q8C2×C4×D1114yes—
522C22×C4—111no—
523C22×C4—114no—
524C22×C4—114no—
525C22×C4—114no—
526C22×C4—111no—
527C22×C4—112no—
528C22×C4—112no—
529C22×C4—111no—
530C22×C4—114no—
531C22×C4—118no—
532C22×C4—118no—
533C22×C4—114no—
534C22×C4—112no—
535C22×C4—114no—
536C22×C4—112no—
537C22×C4—224no—
538C22×C4—224no—
539C22×C4—222no—
540C22×C4—222no—
541C22×C4—442no—
542C22×C4—441no—
543C22×C4—442no—
544C22×C4—441no—
545C22×C4C23×D1114yes—
546C22×C4C23×D1112yes—
547C22×C4C23×D1112yes—
548C22×C4C23×D1112yes—
549C22×C4C23×D1112yes—
550C22×C4C23×D1111yescharacteristic
551C22×C4C23×D1111yescharacteristic
552C22×C4C23×D1111yescharacteristic
553C4⋊C4—22no—
554C4⋊C4—24no—
555C4⋊C4—24no—
556C4⋊C4—22no—
557C4⋊C4—42no—
558C4⋊C4—118no—
559C4⋊C4—118no—
560C4⋊C4—118no—
561C4⋊C4—118no—
562C4⋊C4—114no—
563C4⋊C4—224no—
564C4⋊C4—224no—
565C4⋊C4—222no—
566C4⋊C4—224no—
567C4⋊C4—224no—
568C4⋊C4—222no—
569C4⋊C4—442no—
570C4⋊C4—442no—
571C4⋊C4—442no—
572C4⋊C4C2×C4×D1118yes—
573C4⋊C4C2×C4×D1114yes—
574C22⋊C4—224no—
575C22⋊C4—224no—
576C22⋊C4—228no—
577C42—24no—
578C42—44no—
579C42—114no—
580C42—114no—
581C42—118no—
582C42—114no—
583C42—118no—
584C42—118no—
585C42—228no—
586C42—224no—
587C42—444no—
588C42—444no—
589C42—444no—
590C42C2×C4×D1118yes—
591C42C2×C4×D1114yes—
592C11#3418711yescharacteristic, complemented, Sylow
593C23—112no—
594C23—112no—
595C23—112no—
596C23—221no—
597C23—221no—
598C23—221no—
599C23—221no—
600C23C24×D1111yescharacteristic
601Q8—28no—
602Q8—2216no—
603Q8—228no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—21no—
608C2×C4—22no—
609C2×C4—21no—
610C2×C4—22no—
611C2×C4—22no—
612C2×C4—22no—
613C2×C4—24no—
614C2×C4—22no—
615C2×C4—24no—
616C2×C4—22no—
617C2×C4—24no—
618C2×C4—22no—
619C2×C4—112no—
620C2×C4—112no—
621C2×C4—112no—
622C2×C4—1116no—
623C2×C4—112no—
624C2×C4—114no—
625C2×C4—112no—
626C2×C4—114no—
627C2×C4—2216no—
628C2×C4—221no—
629C2×C4—222no—
630C2×C4—222no—
631C2×C4—221no—
632C2×C4—222no—
633C2×C4—221no—
634C2×C4—222no—
635C2×C4—221no—
636C2×C4—228no—
637C2×C4—222no—
638C2×C4—224no—
639C2×C4—222no—
640C2×C4—222no—
641C2×C4—224no—
642C2×C4—222no—
643C2×C4—222no—
644C2×C4—222no—
645C2×C4—224no—
646C2×C4—448no—
647C2×C4—444no—
648C2×C4C22×C4×D1114yes—
649C2×C4C22×C4×D1112yes—
650C2×C4C22×C4×D1114yes—
651C2×C4C22×C4×D1112yes—
652C2×C4C22×C4×D1112yes—
653C2×C4#6704012yes—
654C2×C4#41×D1112yes—
655C2×C4#41×D1112yes—
656C2×C4#6704312yes—
657C22—114no—
658C22—222no—
659C22—222no—
660C22—222no—
661C22—222no—
662C22—222no—
663C22—222no—
664C22C23×C4×D1111yescharacteristic
665C22C2×#6704011yescharacteristic
666C22C2×#41×D1111yescharacteristic
667C22C2×#41×D1111yescharacteristic
668C22C2×#6704311yescharacteristic
669C22#1062345511yescharacteristic
670C22#1062345711yescharacteristic
671C4—24no—
672C4—24no—
673C4—22no—
674C4—42no—
675C4—44no—
676C4—42no—
677C4—114no—
678C4—224no—
679C4—222no—
680C4—224no—
681C4—222no—
682C4—442no—
683C4—442no—
684C4—444no—
685C4D11×#11714yes—
686C4#1062310314yes—
687C2—224no—
688C2C2×D11×#11711yescharacteristic
689C2C2×#1062310311yescharacteristic
690C2#1308181611yescharacteristic
691C2#1308247111yescharacteristic
692C2#1308247311yescharacteristic
693C2#1308247911yescharacteristic
694C2#1308248211yescharacteristic
subgroupG/H
center, FrattiniC23C24×D11
commutatorC22×C11C24×C4
FittingC11×#2355C2
socle, cosocleC23×C11C25
prime radicalC23×D11C24
hypercenter#2355D11
hypocenterC11#34187
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C23 ◁ #2355

Complements

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

NH ≅ G/Ntype
2. #13071580C2semidirect
3. #13071578C2semidirect
4. #13071577C2semidirect
5. #13071575C2semidirect
6. #13071574C2semidirect
7. #13071573C2semidirect
8. #13071571C2semidirect
9. #13071568C2semidirect
17. C11×#2355C2semidirect
21. C4×Q8×D11C4semidirect
255. #2355D11semidirect
592. C11#34187semidirect

Maximal subgroups

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

subgroupindex
C2×C4×Q8×D112
#130715802
#130715782
#130715772
#130715752
#130715742
#130715732
#130715712
#130715682
#130712152
#130711992
#130710212
#130710202
#130710122
#130710092
#130709702
C11×#23552
#3418711