Finite Group Databasebeta

← #15624350

Subgroups — #15624350

Order 2816.

2394 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623322C212yesmaximal, complemented
2#13079409C214yesmaximal, complemented
3#13079399C214yesmaximal, complemented
4#13079391C211yesmaximal, characteristic, complemented
5#13079383C214yesmaximal, complemented
6#13079374C212yesmaximal, complemented
7#13079367C211yesmaximal, characteristic, complemented
8#13078531C214yesmaximal, complemented
9#13078197C214yesmaximal, complemented
10#13077838C214yesmaximal, complemented
11C22×C11×C22⋊C8C211yesmaximal, characteristic, complemented
12C24×C4×C11C2211yescharacteristic
13C22×#4339C2212yescomplemented
14C23×C8×C11C2212yescomplemented
15C2×#67006—22no—
16#10623322—22no—
17#10623322—22no—
18#10623322—22no—
19#10623322—22no—
20#10623322C2214yes—
21#10623322C2214yes—
22#10623322C2214yescomplemented
23#10623322C2214yescomplemented
24C2×#66983C2212yes—
25C2×#66983C2212yescomplemented
26C2×#66982—22no—
27C2×C4×C22⋊D11—22no—
28C2×C4×C22⋊D11—22no—
29C2×#66979C2212yescomplemented
30C2×#66977C2212yes—
31C2×#66977C2212yescomplemented
32C2×#66957C2214yescomplemented
33C2×C11×C22⋊C8C2211yescharacteristic
34C2×C11×C22⋊C8C2211yescharacteristic
35C2×C11×C22⋊C8C2214yescomplemented
36C2×C11×C22⋊C8C2214yescomplemented
37C2×C11×C22⋊C8C2212yescomplemented
38#10622729C2214yescomplemented
39#10622729C2214yescomplemented
40#10622728C2214yescomplemented
41#10622728C2214yescomplemented
42#10622727C2218yescomplemented
43#10622727C2218yescomplemented
44#10622726C2218yescomplemented
45#10622719C2214yescomplemented
46#10622352C2214yescomplemented
47#10622351C2214yescomplemented
48#10622350C2218yescomplemented
49#10622349C2214yescomplemented
50#10622348C2214yescomplemented
51#10622347C2218yescomplemented
52#10622346C2218yescomplemented
53#10622345C2214yescomplemented
54#10622344C2214yescomplemented
55#10622336C2218yescomplemented
56#10622335C2214yescomplemented
57#10622334C2214yescomplemented
58C25×C11D411yescharacteristic
59C23×C4×C11—44no—
60C23×C4×C11D411yescharacteristic
61C23×C4×C11D412yes—
62C23×C4×C11D412yes—
63C23×C4×C11D411yescharacteristic
64C23×C4×C11D411yescharacteristic
65C23×C4×C11C2312yes—
66C23×C4×C11C2311yescharacteristic
67C23×C4×C11C2311yescharacteristic
68C23×C4×C11C2312yes—
69C23×C4×C11C2311yescharacteristic
70C22×C22⋊D11—22no—
71C22×C22⋊D11—22no—
72C22×C22⋊D11—22no—
73C2×#4339—22no—
74C2×#4339—22no—
75C2×#4339—48no—
76C2×#4339C2314yes—
77C2×#4339C2314yes—
78C22×D44C2312yes—
79C22×C4×D11—22no—
80C22×Dic22C2312yes—
81C22×C8×C11—44no—
82C22×C8×C11C2314yes—
83C22×C8×C11C2312yes—
84C22×C8×C11C2314yes—
85C22×C8×C11C2312yes—
86#67006—24no—
87#67006—24no—
88#67006—24no—
89#67006—24no—
90C2×C22⋊Dic11—22no—
91C2×C22⋊Dic11—22no—
92C2×C22⋊Dic11—22no—
93#66983—22no—
94#66983—22no—
95#66983—22no—
96#66983—22no—
97#66983C2314yes—
98#66983C2314yes—
99#66983C2314yes—
100#66983C2314yes—
101#66982—24no—
102#66982—24no—
103#66982—24no—
104#66982—24no—
105C4×C22⋊D11—24no—
106C4×C22⋊D11—24no—
107C4×C22⋊D11—24no—
108C4×C22⋊D11—24no—
109C4×C22⋊D11—24no—
110C4×C22⋊D11—24no—
111C4×C22⋊D11—24no—
112C4×C22⋊D11—24no—
113C2×(C2×D11)⋊C4—22no—
114C2×(C2×D11)⋊C4—22no—
115#66979—22no—
116#66979—22no—
117#66979C2314yes—
118#66979C2314yes—
119C2×C4⋊Dic11C2312yes—
120C2×C4⋊Dic11C2312yes—
121#66977—22no—
122#66977—22no—
123#66977—22no—
124#66977—22no—
125#66977C2314yes—
126#66977C2314yes—
127#66977C2314yes—
128#66977C2314yes—
129C2×Dic11⋊C4—22no—
130C2×Dic11⋊C4—22no—
131C2×C4×Dic11—22no—
132C2×Dic44C2314yescomplemented
133#66957—48no—
134C2×D88C2314yescomplemented
135C2×#4314C2318yescomplemented
136C11×C22⋊C8C2314yes—
137C11×C22⋊C8C2314yes—
138C11×C22⋊C8C2318yes—
139#66885C2318yescomplemented
140#66885C2318yescomplemented
141#66882C2314yescomplemented
142#66882C2314yescomplemented
143#66881C2318yescomplemented
144#66880C2318yescomplemented
145#66880C2318yescomplemented
146#60734—111nomaximal, Sylow
147C24×C11—24no—
148C24×C11—42no—
149C24×C11—42no—
150C24×C11C2×D411yescharacteristic
151C24×C11C2×D412yes—
152C24×C11C2×D412yes—
153C24×C11C2×D411yescharacteristic
154C24×C11C2×D411yescharacteristic
155C23×D11—22no—
156C22×C4×C11—24no—
157C22×C4×C11—28no—
158C22×C4×C11—42no—
159C22×C4×C11—44no—
160C22×C4×C11—42no—
161C22×C4×C11—42no—
162C22×C4×C11—44no—
163C22×C4×C11—42no—
164C22×C4×C11—42no—
165C22×C4×C11—44no—
166C22×C4×C11C2×D412yes—
167C22×C4×C11C2×D412yes—
168C22×C4×C11C2×D412yes—
169C22×C4×C11C2×D411yescharacteristic
170C22×C4×C11C2×D411yescharacteristic
171C22×C4×C11C2×D411yescharacteristic
172C22×C4×C11C2×D412yes—
173C22×C4×C11C2×D412yes—
174C22×C4×C11C2×D411yescharacteristic
175C22×C4×C11C2×D412yes—
176C22×C4×C11C2×D412yes—
177C22×C4×C11C2×D411yescharacteristic
178C22×C4×C11C2×D412yes—
179C22×C4×C11C2412yes—
180C22×C4×C11C2412yes—
181C22×C4×C11C2411yescharacteristic
182C22×C4×C11C2411yescharacteristic
183C22×C4×C11C2411yescharacteristic
184C2×C22⋊D11—24no—
185C2×C22⋊D11—24no—
186C2×C22⋊D11—24no—
187C2×C22⋊D11—24no—
188C2×C22⋊D11—24no—
189C2×C22⋊D11—24no—
190C2×C22⋊D11—48no—
191C2×C22⋊D11—48no—
192C2×C22⋊D11—48no—
193C22×Dic11—22no—
194C22×Dic11—22no—
195C22×Dic11—22no—
196#4339—216no—
197#4339—48no—
198#4339—48no—
199#4339—48no—
200C2×D44—22no—
201C2×D44—44no—
202C2×D44C2414yes—
203C2×C4×D11—24no—
204C2×C4×D11—24no—
205C2×C4×D11—48no—
206C2×Dic22—22no—
207C2×Dic22—44no—
208C2×Dic22C2414yes—
209C2×C8×C11—28no—
210C2×C8×C11—42no—
211C2×C8×C11—44no—
212C2×C8×C11—42no—
213C2×C8×C11C2414yes—
214C2×C8×C11C2414yes—
215C22⋊Dic11—24no—
216C22⋊Dic11—24no—
217C22⋊Dic11—24no—
218C22⋊Dic11—24no—
219C22⋊Dic11—24no—
220C22⋊Dic11—24no—
221(C2×D11)⋊C4—24no—
222(C2×D11)⋊C4—24no—
223(C2×D11)⋊C4—24no—
224(C2×D11)⋊C4—24no—
225C4⋊Dic11—22no—
226C4⋊Dic11—22no—
227C4⋊Dic11C2414yes—
228C4⋊Dic11C2414yes—
229Dic11⋊C4—24no—
230Dic11⋊C4—24no—
231Dic11⋊C4—24no—
232Dic11⋊C4—24no—
233C4×Dic11—24no—
234C4×Dic11—24no—
235Dic44—44no—
236D88—44no—
237#4314—48no—
238C2×#525—112no—
239#3191—114no—
240#3190—114no—
241#3189—111no—
242#3188—114no—
243#3187—112no—
244#3186—111no—
245#3091—114no—
246#3050—114no—
247#3002—114no—
248C22×C22⋊C8D1111yescharacteristic, complemented
249C23×C11—22no—
250C23×C11—22no—
251C23×C11—22no—
252C23×C11—24no—
253C23×C11—24no—
254C23×C11—24no—
255C23×C11—22no—
256C23×C11—24no—
257C23×C11—41no—
258C23×C11—42no—
259C23×C11—41no—
260C23×C11—41no—
261C23×C11—42no—
262C23×C11—41no—
263C23×C11—416no—
264C23×C11#13514yescomplemented
265C23×C11C22×D412yes—
266C23×C11C22×D411yescharacteristic
267C23×C11C22×D411yescharacteristic
268C23×C11C22×D412yes—
269C23×C11C22×D411yescharacteristic
270C22×D11—24no—
271C22×D11—44no—
272C22×D11—44no—
273C22×D11—44no—
274C2×C4×C11—24no—
275C2×C4×C11—22no—
276C2×C4×C11—24no—
277C2×C4×C11—24no—
278C2×C4×C11—22no—
279C2×C4×C11—22no—
280C2×C4×C11—22no—
281C2×C4×C11—22no—
282C2×C4×C11—24no—
283C2×C4×C11—24no—
284C2×C4×C11—42no—
285C2×C4×C11—42no—
286C2×C4×C11—42no—
287C2×C4×C11—42no—
288C2×C4×C11—41no—
289C2×C4×C11—42no—
290C2×C4×C11—41no—
291C2×C4×C11C22×D412yes—
292C2×C4×C11C22×D411yescharacteristic
293C2×C4×C11C22×D411yescharacteristic
294C2×C4×C11C22×D412yes—
295C2×C4×C11C22×D411yescharacteristic
296C2×C4×C11H(5,𝔽2)14yes—
297C2×C4×C11C2511yescharacteristic
298C22⋊D11—48no—
299C22⋊D11—48no—
300C22⋊D11—48no—
301C22⋊D11—48no—
302C22⋊D11—48no—
303C22⋊D11—48no—
304C2×Dic11—24no—
305C2×Dic11—24no—
306C2×Dic11—24no—
307C2×Dic11—44no—
308C2×Dic11—44no—
309C2×Dic11—44no—
310D44—28no—
311D44—44no—
312C4×D11—48no—
313C4×D11—48no—
314Dic22—28no—
315Dic22—44no—
316C8×C11—24no—
317C8×C11—24no—
318C22×#41—112no—
319C24×C4C2×D1111yescharacteristic
320C2×#135—114no—
321C23×C8C2×D1112yescomplemented
322#525—114no—
323#525—114no—
324#525—114no—
325#525—114no—
326#525—222no—
327#525—222no—
328#525—222no—
329#525—222no—
330C2×#123—222no—
331C2×C22⋊Q8—112no—
332C2×C22⋊Q8—112no—
333C2×#121—112no—
334C2×#121—112no—
335C2×#120—222no—
336C2×C4×D4—222no—
337C2×C4×D4—222no—
338C2×#117—112no—
339#485—118no—
340#484—114no—
341#483—114no—
342#482—118no—
343#481—114no—
344#480—114no—
345#467—114no—
346#467—114no—
347#466—114no—
348#466—114no—
349#465—118no—
350#465—118no—
351#452—118no—
352#451—114no—
353#450—114no—
354#449—118no—
355#448—114no—
356#447—114no—
357#427—114no—
358#416—118no—
359C2×C22⋊C8C2×D1111yescharacteristic
360C2×C22⋊C8C2×D1111yescharacteristic
361C2×C22⋊C8C2×D1114yescomplemented
362C2×C22⋊C8C2×D1114yescomplemented
363C2×C22⋊C8C2×D1112yescomplemented
364C22×C11—28no—
365C22×C11—22no—
366C22×C11—21no—
367C22×C11—21no—
368C22×C11—21no—
369C22×C11—21no—
370C22×C11—22no—
371C22×C11—21no—
372C22×C11—21no—
373C22×C11—22no—
374C22×C11—22no—
375C22×C11—22no—
376C22×C11—44no—
377C22×C11—48no—
378C22×C11—48no—
379C22×C11—44no—
380C22×C11#53412yes—
381C22×C11C2×#13514yes—
382C22×C11C2×#13512yes—
383C22×C11#57512yes—
384C22×C11C23×D411yescharacteristic
385C2×D11—44no—
386C2×D11—44no—
387C2×D11—44no—
388C2×D11—88no—
389C4×C11—21no—
390C4×C11—21no—
391C4×C11—22no—
392C4×C11—22no—
393C4×C11#53412yes—
394C4×C11C2×H(5,𝔽2)12yes—
395Dic11—44no—
396Dic11—44no—
397Dic11—44no—
398C25D4411yescharacteristic
399C2×#41—114no—
400C2×#41—114no—
401C2×#41—222no—
402C2×#41—222no—
403C2×#41—448no—
404C22×Q8—112no—
405C22×D4—112no—
406C22×D4—222no—
407C22×D4—222no—
408C22×D4—222no—
409C23×C4—44no—
410C23×C4—222no—
411C23×C4D4411yescharacteristic
412C23×C4D4412yes—
413C23×C4D4412yes—
414C23×C4D4411yescharacteristic
415C23×C4D4411yescharacteristic
416C23×C4C22×D1112yes—
417C23×C4C22×D1111yescharacteristic
418C23×C4C22×D1111yescharacteristic
419C23×C4C22×D1112yes—
420C23×C4C22×D1111yescharacteristic
421#135—448no—
422C2×Q16—114no—
423C2×SD16—118no—
424C2×D8—114no—
425C22×C8—44no—
426C22×C8C22×D1114yes—
427C22×C8C22×D1112yes—
428C22×C8C22×D1112yes—
429C22×C8C22×D1114yes—
430#123—224no—
431#123—224no—
432#123—224no—
433#123—224no—
434C22⋊Q8—114no—
435C22⋊Q8—114no—
436C22⋊Q8—114no—
437C22⋊Q8—114no—
438C22⋊Q8—222no—
439C22⋊Q8—222no—
440C22⋊Q8—222no—
441C22⋊Q8—222no—
442#121—114no—
443#121—114no—
444#121—114no—
445#121—114no—
446#121—222no—
447#121—222no—
448#121—222no—
449#121—222no—
450#120—224no—
451#120—224no—
452#120—224no—
453#120—224no—
454C4×D4—224no—
455C4×D4—224no—
456C4×D4—224no—
457C4×D4—224no—
458C4×D4—224no—
459C4×D4—224no—
460C4×D4—224no—
461C4×D4—224no—
462#117—114no—
463#117—114no—
464#117—222no—
465#117—222no—
466C2×C4⋊C4—112no—
467C2×C4⋊C4—112no—
468C2×C4⋊C4—222no—
469C2×C4⋊C4—222no—
470C2×C22⋊C4—222no—
471C2×C22⋊C4—222no—
472C2×C22⋊C4—222no—
473C2×C22⋊C4—222no—
474C2×C22⋊C4—222no—
475C2×C42—222no—
476#107—114no—
477#107—114no—
478#106—118no—
479#103—118no—
480#103—118no—
481#102—118no—
482#102—118no—
483C22⋊C8C22×D1114yes—
484C22⋊C8C22×D1114yes—
485C22⋊C8C22×D1118yes—
486C2×C11—24no—
487C2×C11—22no—
488C2×C11—22no—
489C2×C11—22no—
490C2×C11—42no—
491C2×C11C2×#53411yescharacteristic
492C2×C11C22×#13511yescharacteristic
493C2×C11C2×#57511yescharacteristic
494D11—84no—
495C24—24no—
496C24—42no—
497C24—42no—
498C24—222no—
499C24C2×D4411yescharacteristic
500C24C2×D4412yes—
501C24C2×D4412yes—
502C24C2×D4411yescharacteristic
503C24C2×D4411yescharacteristic
504#41—2216no—
505#41—448no—
506#41—448no—
507#41—448no—
508C2×Q8—114no—
509C2×Q8—222no—
510C2×Q8—444no—
511C2×D4—114no—
512C2×D4—224no—
513C2×D4—224no—
514C2×D4—224no—
515C2×D4—224no—
516C2×D4—224no—
517C2×D4—224no—
518C2×D4—222no—
519C2×D4—444no—
520C2×D4—448no—
521C2×D4—448no—
522C2×D4—448no—
523C22×C4—24no—
524C22×C4—28no—
525C22×C4—42no—
526C22×C4—44no—
527C22×C4—42no—
528C22×C4—42no—
529C22×C4—44no—
530C22×C4—42no—
531C22×C4—44no—
532C22×C4—42no—
533C22×C4—222no—
534C22×C4—222no—
535C22×C4—222no—
536C22×C4—224no—
537C22×C4—224no—
538C22×C4—448no—
539C22×C4C2×D4412yes—
540C22×C4C2×D4411yescharacteristic
541C22×C4C2×D4412yes—
542C22×C4C2×D4412yes—
543C22×C4C2×D4411yescharacteristic
544C22×C4C2×D4411yescharacteristic
545C22×C4C2×D4412yes—
546C22×C4C2×D4412yes—
547C22×C4C2×D4411yescharacteristic
548C22×C4C2×D4412yes—
549C22×C4C2×D4412yes—
550C22×C4C2×D4411yescharacteristic
551C22×C4C2×D4412yes—
552C22×C4C23×D1112yes—
553C22×C4C23×D1112yes—
554C22×C4C23×D1111yescharacteristic
555C22×C4C23×D1111yescharacteristic
556C22×C4C23×D1111yescharacteristic
557Q16—444no—
558SD16—448no—
559D8—444no—
560C2×C8—28no—
561C2×C8—42no—
562C2×C8—44no—
563C2×C8—42no—
564C2×C8C23×D1114yes—
565C2×C8C23×D1114yes—
566C4⋊C4—114no—
567C4⋊C4—114no—
568C4⋊C4—222no—
569C4⋊C4—222no—
570C4⋊C4—224no—
571C4⋊C4—224no—
572C4⋊C4—224no—
573C4⋊C4—224no—
574C22⋊C4—224no—
575C22⋊C4—224no—
576C22⋊C4—224no—
577C22⋊C4—224no—
578C22⋊C4—224no—
579C22⋊C4—224no—
580C22⋊C4—224no—
581C22⋊C4—224no—
582C22⋊C4—224no—
583C22⋊C4—224no—
584C42—224no—
585C42—224no—
586C11#6073411yescharacteristic, complemented, Sylow
587C23—22no—
588C23—22no—
589C23—22no—
590C23—24no—
591C23—24no—
592C23—22no—
593C23—24no—
594C23—24no—
595C23—41no—
596C23—42no—
597C23—41no—
598C23—41no—
599C23—42no—
600C23—41no—
601C23—416no—
602C23—224no—
603C23—444no—
604C23—444no—
605C23—444no—
606C23#6695714yescomplemented
607C23C22×D4412yes—
608C23C22×D4411yescharacteristic
609C23C22×D4412yes—
610C23C22×D4411yescharacteristic
611C23C22×D4411yescharacteristic
612Q8—228no—
613Q8—444no—
614D4—228no—
615D4—444no—
616D4—448no—
617D4—448no—
618D4—448no—
619D4—448no—
620D4—448no—
621D4—448no—
622C2×C4—22no—
623C2×C4—24no—
624C2×C4—24no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—24no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—24no—
631C2×C4—24no—
632C2×C4—41no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—41no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—224no—
640C2×C4—224no—
641C2×C4—224no—
642C2×C4—448no—
643C2×C4—444no—
644C2×C4—444no—
645C2×C4—444no—
646C2×C4—448no—
647C2×C4C22×D4412yes—
648C2×C4C22×D4411yescharacteristic
649C2×C4C22×D4411yescharacteristic
650C2×C4C22×D4412yes—
651C2×C4C22×D4411yescharacteristic
652C2×C4#6703714yes—
653C2×C4C24×D1111yescharacteristic
654C8—24no—
655C8—24no—
656C22—28no—
657C22—22no—
658C22—21no—
659C22—21no—
660C22—21no—
661C22—21no—
662C22—22no—
663C22—21no—
664C22—21no—
665C22—22no—
666C22—22no—
667C22—22no—
668C22—44no—
669C22—48no—
670C22—48no—
671C22—44no—
672C22—444no—
673C22—444no—
674C22—444no—
675C22—888no—
676C22#1062302412yes—
677C22C2×#6695714yes—
678C22C2×#6695712yes—
679C22#1062327912yes—
680C22C23×D4411yescharacteristic
681C4—22no—
682C4—22no—
683C4—21no—
684C4—21no—
685C4—444no—
686C4—444no—
687C4—444no—
688C4#1062302412yes—
689C4C2×#6703712yes—
690C2—22no—
691C2—22no—
692C2—22no—
693C2—24no—
694C2—42no—
695C2—884no—
696C2C2×#1062302411yescharacteristic
697C2C22×#6695711yescharacteristic
698C2C2×#1062327911yescharacteristic
subgroupG/H
centerC2×C4C22×D44
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC22×C11×C22⋊C8C2
socleC22×C11C23×D4
hypercenterC22×C22⋊C8D11
hypocenterC11#60734
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C2×C4 ◁ C24×C4 ◁ C22×C22⋊C8

Complements

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

NH ≅ G/Ntype
1. C2×#10623322C2semidirect
2. #13079409C2semidirect
3. #13079399C2semidirect
4. #13079391C2semidirect
5. #13079383C2semidirect
6. #13079374C2semidirect
7. #13079367C2semidirect
8. #13078531C2semidirect
9. #13078197C2semidirect
10. #13077838C2semidirect
11. C22×C11×C22⋊C8C2semidirect
13. C22×#4339C22semidirect
14. C23×C8×C11C22semidirect
22. #10623322C22semidirect
23. #10623322C22semidirect
25. C2×#66983C22semidirect
29. C2×#66979C22semidirect
31. C2×#66977C22semidirect
32. C2×#66957C22semidirect
35. C2×C11×C22⋊C8C22semidirect
36. C2×C11×C22⋊C8C22semidirect
37. C2×C11×C22⋊C8C22semidirect
38. #10622729C22semidirect
39. #10622729C22semidirect
40. #10622728C22semidirect
41. #10622728C22semidirect
42. #10622727C22semidirect
43. #10622727C22semidirect
44. #10622726C22semidirect
45. #10622719C22semidirect
46. #10622352C22semidirect
47. #10622351C22semidirect
48. #10622350C22semidirect
49. #10622349C22semidirect
50. #10622348C22semidirect
51. #10622347C22semidirect
52. #10622346C22semidirect
53. #10622345C22semidirect
54. #10622344C22semidirect
55. #10622336C22semidirect
56. #10622335C22semidirect
57. #10622334C22semidirect
132. C2×Dic44C23semidirect
134. C2×D88C23semidirect
135. C2×#4314C23semidirect
139. #66885C23semidirect
140. #66885C23semidirect
141. #66882C23semidirect
142. #66882C23semidirect
143. #66881C23semidirect
144. #66880C23semidirect
145. #66880C23semidirect
248. C22×C22⋊C8D11semidirect
264. C23×C11#135semidirect
321. C23×C8C2×D11semidirect
361. C2×C22⋊C8C2×D11semidirect
362. C2×C22⋊C8C2×D11semidirect
363. C2×C22⋊C8C2×D11semidirect
586. C11#60734semidirect
606. C23#66957semidirect

Maximal subgroups

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

subgroupindex
C2×#106233222
#130794092
#130793992
#130793912
#130793832
#130793742
#130793672
#130785312
#130781972
#130778382
C22×C11×C22⋊C82
#6073411