Finite Group Databasebeta

← #15633875

Subgroups — #15633875

Order 2816.

1794 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#13082421C211yesmaximal, characteristic, complemented
2#13081452C214yesmaximal, complemented
3#13081426C214yesmaximal, complemented
4#13081378C214yesmaximal, complemented
5#13081341C214yesmaximal, complemented
6#13078970C212yesmaximal, complemented
7#13078961C211yesmaximal, characteristic, complemented
8#13078467C212yesmaximal, complemented
9#13078413C211yesmaximal, characteristic, complemented
10#13078133C212yesmaximal, complemented
11#13078084C211yesmaximal, characteristic, complemented
12#13077557C211yesmaximal, characteristic, complemented
13#13077455C212yesmaximal, complemented
14C2×#10622631C211yesmaximal, characteristic, complemented
15C11×#3506C211yesmaximal, characteristic
16C11×#559C2214yes—
17C11×#556C2212yes—
18C11×#555—21no—
19C11×#553—22no—
20C11×#550C2212yes—
21C11×#547—21no—
22C11×#538—22no—
23C11×#535C2212yes—
24C11×#533C2211yescharacteristic
25C11×#532C2211yescharacteristic
26C11×#525—22no—
27C11×#520C2212yes—
28C2×C4×D4×C11C2211yescharacteristic
29C2×#67004C2212yes—
30C22×#4324C2211yescharacteristic
31#10623253—21no—
32#10623252—21no—
33#10623216—22no—
34#10623154—22no—
35#10623153—22no—
36#10623098C2212yescomplemented
37#10623098C2214yescomplemented
38Q8×Dic22C2212yescomplemented
39#10623050C2212yes—
40#10623047C2212yes—
41#10623001C2211yescharacteristic
42C2×C4×Dic22C2211yescharacteristic
43#10622846C2212yes—
44#10622846C2212yes—
45#10622845C2212yes—
46#10622828C2212yes—
47C2×#66896C2211yescharacteristic
48#10622703C2212yescomplemented
49#10622695C2212yescomplemented
50#10622688C2214yes—
51#10622688C2214yes—
52#10622688C2212yescomplemented
53#10622684C2214yes—
54#10622684C2212yescomplemented
55#10622683C2214yes—
56#10622669C2214yes—
57#10622668C2214yes—
58#10622668C2212yescomplemented
59#10622668C2212yescomplemented
60#10622667C2214yes—
61#10622667C2214yes—
62#10622667C2214yescomplemented
63#10622643C2214yescomplemented
64C4×#4326C2214yescomplemented
65#10622637C2214yescomplemented
66#10622637C2214yescomplemented
67#10622635C2214yescomplemented
68#10622634C2214yescomplemented
69#10622631C2214yes—
70#10622631C2214yes—
71#10622631C2214yescomplemented
72C4×#4324C2214yescomplemented
73#10622622C2214yes—
74#10622622C2214yescomplemented
75#10622621C2212yes—
76#10622620C2212yes—
77#10622620C2214yescomplemented
78#10622612C2212yes—
79#10622610C2212yes—
80C2×#66874C2211yescharacteristic
81#10622577C2212yes—
82C2×#66871C2211yescharacteristic
83#10622537C2211yescharacteristic
84C2×#66867C2211yescharacteristic
85C2×C11×#41—22no—
86C2×C11×#41C2312yes—
87C22×D4×C11C2311yescharacteristic
88C23×C4×C11—21no—
89C22×Dic22C2311yescharacteristic
90C11×C4⋊Q8D411yescharacteristic
91C11×C4⋊Q8D411yescharacteristic
92C11×C4⋊Q8C2311yescharacteristic
93C11×#127C2311yescharacteristic
94C11×#127C2314yes—
95C11×#126—24no—
96C11×#125D412yes—
97C11×#124—24no—
98C11×#124C2312yes—
99C11×#124C2314yes—
100C11×#123—24no—
101C11×#123—24no—
102C11×C22⋊Q8—22no—
103C11×C22⋊Q8D412yes—
104C11×C22⋊Q8D412yes—
105C11×#121—21no—
106C11×#121—21no—
107C11×#121—22no—
108C11×#121—22no—
109C11×#121—22no—
110C11×#121—24no—
111C11×#120—24no—
112C4×Q8×C11C2314yes—
113C4×Q8×C11C2312yes—
114C4×Q8×C11C2312yes—
115C4×D4×C11—24no—
116C4×D4×C11—24no—
117C4×D4×C11—21no—
118C4×D4×C11—21no—
119C4×D4×C11—21no—
120C4×D4×C11—21no—
121C4×D4×C11C2312yes—
122C4×D4×C11C2312yes—
123C4×D4×C11C2314yes—
124C11×#117—22no—
125C11×#117—22no—
126C11×#117C2312yes—
127C2×C11×C4⋊C4—22no—
128C2×C11×C4⋊C4C2311yescharacteristic
129C2×C11×C22⋊C4—21no—
130C2×C42×C11C2311yescharacteristic
131#67004—28no—
132Q8×Dic11—22no—
133#66997—22no—
134#66997—24no—
135C2×#4326C2314yes—
136C2×#4324—24no—
137C2×#4324C2314yes—
138C2×#4324C2314yes—
139#66979C2312yes—
140C2×C4⋊Dic11C2311yescharacteristic
141#66977—21no—
142#66977—21no—
143C2×Dic11⋊C4—21no—
144C2×C4×Dic11—21no—
145C2×#4318C2312yes—
146C22×C11⋊C8C2311yescharacteristic
147C22×C11⋊C8C2311yescharacteristic
148#66943—22no—
149#66942—24no—
150#66942—24no—
151#66942—24no—
152#66941—22no—
153#66941—22no—
154#66941—24no—
155#66940—22no—
156#66940—22no—
157#66940—22no—
158#66940—24no—
159#66931—24no—
160#66930—24no—
161#66923C2312yes—
162#66923C2314yes—
163#66922C2311yescharacteristic
164#66922C2311yescharacteristic
165#66922C2314yes—
166C4×Dic22—21no—
167C4×Dic22—21no—
168C4×Dic22—21no—
169C4×Dic22—21no—
170C4×Dic22C2312yes—
171C4×Dic22C2312yes—
172C4×Dic22C2314yes—
173C4×Dic22C2314yes—
174#66899C2314yes—
175#66899C2312yes—
176#66899C2312yes—
177#66899C2312yes—
178#66899C2312yes—
179#66896C2314yes—
180#66896C2314yes—
181#66896C2314yes—
182#66896C2314yes—
183#66896C2312yes—
184#66896C2312yes—
185#66896C2312yes—
186#66896C2312yes—
187#66874C2314yes—
188#66872C2314yes—
189#66871C2314yes—
190#66871C2314yes—
191C4⋊(C11⋊C8)C2312yes—
192C4⋊(C11⋊C8)C2312yes—
193C4⋊(C11⋊C8)C2314yes—
194C4⋊(C11⋊C8)C2314yes—
195#66867C2312yes—
196#66867C2312yes—
197#66867C2314yes—
198C4×C11⋊C8C2314yes—
199#61334—111nomaximal, Sylow
200C24×C11—21no—
201C11×#41—24no—
202C11×#41—24no—
203C11×#41—84no—
204C2×Q8×C11C2×D412yes—
205C2×Q8×C11C2×D412yes—
206C2×Q8×C11C2412yes—
207C2×D4×C11—22no—
208C2×D4×C11—21no—
209C2×D4×C11—21no—
210C2×D4×C11—24no—
211C2×D4×C11—21no—
212C2×D4×C11—24no—
213C2×D4×C11—22no—
214C2×D4×C11—22no—
215C2×D4×C11C2412yes—
216C2×D4×C11C2412yes—
217C22×C4×C11—21no—
218C22×C4×C11—22no—
219C22×C4×C11—22no—
220C22×C4×C11—24no—
221C22×C4×C11—22no—
222C22×C4×C11—82no—
223C22×C4×C11C2×D411yescharacteristic
224C22×C4×C11C2×D411yescharacteristic
225C22×C4×C11C2411yescharacteristic
226C22×Dic11—21no—
227C22×Dic11—21no—
228C2×Dic22—21no—
229C2×Dic22—21no—
230C2×Dic22—21no—
231C2×Dic22—24no—
232C2×Dic22—22no—
233C2×Dic22#4114yescomplemented
234C2×Dic22C2412yes—
235C11×C4⋊C4—21no—
236C11×C4⋊C4—24no—
237C11×C4⋊C4—21no—
238C11×C4⋊C4—21no—
239C11×C4⋊C4C2×D412yes—
240C11×C4⋊C4C2×D412yes—
241C11×C4⋊C4C2×D414yes—
242C11×C4⋊C4C2×D412yes—
243C11×C4⋊C4C2×D414yes—
244C11×C4⋊C4C2×D412yes—
245C11×C4⋊C4C2412yes—
246C11×C22⋊C4—22no—
247C11×C22⋊C4—22no—
248C11×C22⋊C4—24no—
249C11×C22⋊C4—24no—
250C11×C22⋊C4—22no—
251C11×C22⋊C4—24no—
252C11×C22⋊C4—22no—
253C11×C22⋊C4C2×D414yes—
254C42×C11—24no—
255C42×C11C2×D411yescharacteristic
256C42×C11C2×D411yescharacteristic
257C42×C11C2414yes—
258C42×C11C2411yescharacteristic
259C42×C11C2411yescharacteristic
260C22⋊Dic11—22no—
261#4326—28no—
262#4324—28no—
263#4324—28no—
264C4⋊Dic11—21no—
265C4⋊Dic11—21no—
266C4⋊Dic11—21no—
267C4⋊Dic11—24no—
268C4⋊Dic11C2412yes—
269C4⋊Dic11C2412yes—
270C4⋊Dic11C2412yes—
271Dic11⋊C4—22no—
272Dic11⋊C4—22no—
273Dic11⋊C4—22no—
274Dic11⋊C4—22no—
275Dic11⋊C4—24no—
276Dic11⋊C4—24no—
277Dic11⋊C4—24no—
278Dic11⋊C4—24no—
279C4×Dic11—22no—
280C4×Dic11—22no—
281C4×Dic11—22no—
282C4×Dic11—24no—
283C4×Dic11—24no—
284#4318—24no—
285C2×C11⋊C8—22no—
286C2×C11⋊C8—22no—
287C2×C11⋊C8C2412yes—
288C2×C11⋊C8C2414yes—
289C2×C11⋊C8C2412yes—
290#3506D1111yescharacteristic
291#3502—111no—
292#3377—114no—
293#3375—114no—
294#3371—114no—
295#3368—114no—
296#3136—112no—
297#3135—111no—
298#3083—112no—
299#3077—111no—
300#3043—112no—
301#3037—111no—
302#2961—111no—
303#2947—112no—
304C2×#440—111no—
305C23×C11—22no—
306C23×C11—22no—
307C23×C11—42no—
308C23×C11—81no—
309C23×C11—81no—
310C23×C11C22×D411yescharacteristic
311Q8×C11—22no—
312Q8×C11—22no—
313Q8×C11—42no—
314Q8×C11—42no—
315D4×C11—22no—
316D4×C11—22no—
317D4×C11—22no—
318D4×C11—22no—
319D4×C11—42no—
320D4×C11—44no—
321D4×C11—42no—
322D4×C11—81no—
323D4×C11—84no—
324D4×C11—84no—
325C2×C4×C11—22no—
326C2×C4×C11—22no—
327C2×C4×C11—41no—
328C2×C4×C11—41no—
329C2×C4×C11—44no—
330C2×C4×C11—44no—
331C2×C4×C11—82no—
332C2×C4×C11—84no—
333C2×C4×C11—81no—
334C2×C4×C11C22×D411yescharacteristic
335C2×C4×C11C22×D411yescharacteristic
336C2×C4×C11C22×D414yes—
337C2×C4×C11C22×D414yes—
338C2×C4×C11C22×D411yescharacteristic
339C2×C4×C11C22×D411yescharacteristic
340C2×C4×C11C22×D411yescharacteristic
341C2×C4×C11C2×#4112yes—
342C2×C4×C112−1+412yes—
343C2×C4×C11C2511yescharacteristic
344C2×Dic11—24no—
345C2×Dic11—22no—
346C2×Dic11—22no—
347C2×Dic11—22no—
348C2×Dic11—22no—
349C2×Dic11—81no—
350Dic22—24no—
351Dic22—22no—
352Dic22—42no—
353Dic22—81no—
354Dic22—84no—
355Dic22C2×#4114yes—
356C11⋊C8—22no—
357C11⋊C8—24no—
358C11⋊C8—22no—
359C2×#137—112no—
360C22×SD16—111no—
361#559C2×D1114yes—
362Q82—112no—
363Q82—221no—
364#557—114no—
365#557—112no—
366#557—221no—
367#557—222no—
368#556C2×D1112yes—
369#555—21no—
370#553—22no—
371#550C2×D1112yes—
372#547—21no—
373#544—112no—
374#544—222no—
375#538—22no—
376#535C2×D1112yes—
377#533—111no—
378#533—222no—
379#533C2×D1111yescharacteristic
380#532C2×D1111yescharacteristic
381#525—22no—
382#520C2×D1112yes—
383#519—112no—
384C2×C4×Q8—111no—
385C2×C4×D4C2×D1111yescharacteristic
386#491—112no—
387#490—112no—
388#490—114no—
389#489—112no—
390#489—112no—
391#489—114no—
392#488—114no—
393#486—114no—
394#479—114no—
395#478—114no—
396#478—114no—
397#477—114no—
398#476—112no—
399#474—112no—
400#474—114no—
401#464—114no—
402#464—114no—
403#464—114no—
404#462—112no—
405#460—112no—
406#460—114no—
407#460—114no—
408#446—114no—
409#446—114no—
410#441—114no—
411#440—114no—
412#440—114no—
413#440—114no—
414C4×Q16—114no—
415C4×SD16—114no—
416#428—112no—
417C2×#107—111no—
418#424—112no—
419#423—111no—
420#418—112no—
421#417—112no—
422#416—112no—
423#416—112no—
424C2×#103—111no—
425C2×#102—111no—
426#405—112no—
427C2×#97—111no—
428C22×C11—21no—
429C22×C11—21no—
430C22×C11—42no—
431C22×C11—42no—
432C22×C11—42no—
433C22×C11—42no—
434C22×C11—42no—
435C22×C11—42no—
436C22×C11—84no—
437C22×C11#54812yes—
438C22×C11C23×D411yescharacteristic
439C4×C11—21no—
440C4×C11—21no—
441C4×C11—24no—
442C4×C11—21no—
443C4×C11—21no—
444C4×C11—24no—
445C4×C11—42no—
446C4×C11—42no—
447C4×C11#54812yes—
448C4×C11C22×#4111yescharacteristic
449C4×C11C2×2−1+411yescharacteristic
450Dic11—24no—
451Dic11—42no—
452Dic11—42no—
453Dic11—42no—
454C2×#41—22no—
455C2×#41C22×D1112yes—
456C22×Q8—111no—
457C22×D4C22×D1111yescharacteristic
458C23×C4—21no—
459#137—228no—
460C2×Q16—114no—
461C2×SD16—114no—
462C2×SD16—114no—
463C2×SD16—224no—
464C2×M16—112no—
465C22×C8—111no—
466C22×C8—111no—
467C4⋊Q8—111no—
468C4⋊Q8—111no—
469C4⋊Q8—114no—
470C4⋊Q8—222no—
471C4⋊Q8—224no—
472C4⋊Q8—222no—
473C4⋊Q8—222no—
474C4⋊Q8—224no—
475C4⋊Q8C22⋊D1111yescharacteristic
476C4⋊Q8C22⋊D1111yescharacteristic
477C4⋊Q8C22×D1111yescharacteristic
478#127C22×D1111yescharacteristic
479#127C22×D1114yes—
480#126—24no—
481#125—112no—
482#125—114no—
483#125—224no—
484#125—222no—
485#125—224no—
486#125—224no—
487#125C22⋊D1112yes—
488#124—24no—
489#124C22×D1112yes—
490#124C22×D1114yes—
491#123—24no—
492#123—24no—
493C22⋊Q8—22no—
494C22⋊Q8—221no—
495C22⋊Q8—221no—
496C22⋊Q8—224no—
497C22⋊Q8C22⋊D1112yes—
498C22⋊Q8C22⋊D1112yes—
499#121—21no—
500#121—21no—
501#121—22no—
502#121—22no—
503#121—22no—
504#121—24no—
505#120—24no—
506C4×Q8—112no—
507C4×Q8—112no—
508C4×Q8—114no—
509C4×Q8—114no—
510C4×Q8—222no—
511C4×Q8—222no—
512C4×Q8—222no—
513C4×Q8—224no—
514C4×Q8—222no—
515C4×Q8—221no—
516C4×Q8—221no—
517C4×Q8—221no—
518C4×Q8—221no—
519C4×Q8C22×D1114yes—
520C4×Q8C22×D1112yes—
521C4×Q8C22×D1112yes—
522C4×D4—24no—
523C4×D4—24no—
524C4×D4—21no—
525C4×D4—21no—
526C4×D4—21no—
527C4×D4—21no—
528C4×D4C22×D1112yes—
529C4×D4C22×D1112yes—
530C4×D4C22×D1114yes—
531#117—22no—
532#117—22no—
533#117—112no—
534#117—224no—
535#117C22×D1112yes—
536C2×C4⋊C4—22no—
537C2×C4⋊C4—111no—
538C2×C4⋊C4—221no—
539C2×C4⋊C4C22×D1111yescharacteristic
540C2×C22⋊C4—21no—
541C2×C42—221no—
542C2×C42C22×D1111yescharacteristic
543#107—114no—
544#107—114no—
545#106—114no—
546C4⋊C8—112no—
547C4⋊C8—112no—
548C4⋊C8—114no—
549C4⋊C8—114no—
550#103—112no—
551#103—112no—
552#103—112no—
553#103—112no—
554#103—114no—
555#103—114no—
556#102—114no—
557#102—112no—
558#102—112no—
559#102—112no—
560#102—112no—
561#102—114no—
562#102—114no—
563#102—114no—
564#97—112no—
565#97—112no—
566#97—114no—
567C4×C8—114no—
568C2×C11—22no—
569C2×C11—82no—
570C2×C11—82no—
571C2×C11C2×#54811yescharacteristic
572C2×C11#358511yescharacteristic
573C2×C11#358611yescharacteristic
574C24—21no—
575#41—24no—
576#41—24no—
577#41—84no—
578C2×Q8—114no—
579C2×Q8—112no—
580C2×Q8—222no—
581C2×Q8—221no—
582C2×Q8—221no—
583C2×Q8—221no—
584C2×Q8—224no—
585C2×Q8C2×C22⋊D1112yes—
586C2×Q8C2×C22⋊D1112yes—
587C2×Q8C23×D1112yes—
588C2×D4—22no—
589C2×D4—22no—
590C2×D4—22no—
591C2×D4—21no—
592C2×D4—21no—
593C2×D4—24no—
594C2×D4—21no—
595C2×D4—24no—
596C2×D4C23×D1112yes—
597C2×D4C23×D1112yes—
598C22×C4—21no—
599C22×C4—22no—
600C22×C4—22no—
601C22×C4—24no—
602C22×C4—22no—
603C22×C4—82no—
604C22×C4—221no—
605C22×C4—221no—
606C22×C4C2×C22⋊D1111yescharacteristic
607C22×C4C2×C22⋊D1111yescharacteristic
608C22×C4C23×D1111yescharacteristic
609Q16—228no—
610SD16—228no—
611SD16—228no—
612M16—224no—
613C2×C8—112no—
614C2×C8—114no—
615C2×C8—112no—
616C2×C8—222no—
617C2×C8—222no—
618C4⋊C4—21no—
619C4⋊C4—24no—
620C4⋊C4—21no—
621C4⋊C4—21no—
622C4⋊C4—112no—
623C4⋊C4—112no—
624C4⋊C4—112no—
625C4⋊C4—221no—
626C4⋊C4—222no—
627C4⋊C4—222no—
628C4⋊C4—224no—
629C4⋊C4—224no—
630C4⋊C4—222no—
631C4⋊C4—221no—
632C4⋊C4—224no—
633C4⋊C4—222no—
634C4⋊C4—224no—
635C4⋊C4—221no—
636C4⋊C4—224no—
637C4⋊C4C2×C22⋊D1112yes—
638C4⋊C4C2×C22⋊D1112yes—
639C4⋊C4C2×C22⋊D1112yes—
640C4⋊C4C2×C22⋊D1114yes—
641C4⋊C4C2×C22⋊D1114yes—
642C4⋊C4C2×C22⋊D1112yes—
643C4⋊C4C23×D1112yes—
644C22⋊C4—22no—
645C22⋊C4—22no—
646C22⋊C4—24no—
647C22⋊C4—24no—
648C22⋊C4—22no—
649C22⋊C4—24no—
650C22⋊C4—22no—
651C22⋊C4—222no—
652C22⋊C4C2×C22⋊D1114yes—
653C42—24no—
654C42—222no—
655C42—222no—
656C42—222no—
657C42—224no—
658C42—224no—
659C42C2×C22⋊D1111yescharacteristic
660C42C2×C22⋊D1111yescharacteristic
661C42C23×D1114yes—
662C42C23×D1111yescharacteristic
663C42C23×D1111yescharacteristic
664C11#6133411yescharacteristic, complemented, Sylow
665C23—22no—
666C23—22no—
667C23—42no—
668C23—81no—
669C23—81no—
670C23C22×C22⋊D1111yescharacteristic
671Q8—22no—
672Q8—22no—
673Q8—42no—
674Q8—42no—
675Q8—114no—
676Q8—224no—
677Q8—222no—
678Q8—442no—
679Q8—881no—
680Q8—884no—
681D4—22no—
682D4—22no—
683D4—22no—
684D4—22no—
685D4—42no—
686D4—44no—
687D4—42no—
688D4—81no—
689D4—84no—
690D4—84no—
691C2×C4—22no—
692C2×C4—22no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—82no—
698C2×C4—84no—
699C2×C4—81no—
700C2×C4—224no—
701C2×C4—222no—
702C2×C4—222no—
703C2×C4—222no—
704C2×C4—222no—
705C2×C4—881no—
706C2×C4#41×D1112yes—
707C2×C4#6704312yes—
708C2×C4C22×C22⋊D1114yes—
709C2×C4C22×C22⋊D1111yescharacteristic
710C2×C4C22×C22⋊D1111yescharacteristic
711C2×C4C22×C22⋊D1114yes—
712C2×C4C22×C22⋊D1111yescharacteristic
713C2×C4C22×C22⋊D1111yescharacteristic
714C2×C4C22×C22⋊D1111yescharacteristic
715C2×C4C24×D1111yescharacteristic
716C8—222no—
717C8—224no—
718C8—222no—
719C22—21no—
720C22—21no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—42no—
725C22—42no—
726C22—42no—
727C22—84no—
728C22#1062336212yes—
729C22C23×C22⋊D1111yescharacteristic
730C4—21no—
731C4—21no—
732C4—24no—
733C4—21no—
734C4—21no—
735C4—24no—
736C4—42no—
737C4—42no—
738C4—224no—
739C4—442no—
740C4—442no—
741C4—442no—
742C4#1062336212yes—
743C4C2×#41×D1111yescharacteristic
744C4C2×#6704311yescharacteristic
745C2—22no—
746C2—82no—
747C2—82no—
748C2C2×#1062336211yescharacteristic
749C2#1308339611yescharacteristic
750C2#1308340211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
Fitting, prime radicalC11×#3506C2
socleC22×C11C23×D4
hypercenter#3506D11
hypocenterC11#61334
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #533 ◁ #3506

Complements

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

NH ≅ G/Ntype
1. #13082421C2semidirect
2. #13081452C2semidirect
3. #13081426C2semidirect
4. #13081378C2semidirect
5. #13081341C2semidirect
6. #13078970C2semidirect
7. #13078961C2semidirect
8. #13078467C2semidirect
9. #13078413C2semidirect
10. #13078133C2semidirect
11. #13078084C2semidirect
12. #13077557C2semidirect
13. #13077455C2semidirect
14. C2×#10622631C2semidirect
36. #10623098C22semidirect
37. #10623098C22semidirect
38. Q8×Dic22C22semidirect
48. #10622703C22semidirect
49. #10622695C22semidirect
52. #10622688C22semidirect
54. #10622684C22semidirect
58. #10622668C22semidirect
59. #10622668C22semidirect
62. #10622667C22semidirect
63. #10622643C22semidirect
64. C4×#4326C22semidirect
65. #10622637C22semidirect
66. #10622637C22semidirect
67. #10622635C22semidirect
68. #10622634C22semidirect
71. #10622631C22semidirect
72. C4×#4324C22semidirect
74. #10622622C22semidirect
77. #10622620C22semidirect
233. C2×Dic22#41semidirect
664. C11#61334semidirect

Maximal subgroups

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

subgroupindex
#130824212
#130814522
#130814262
#130813782
#130813412
#130789702
#130789612
#130784672
#130784132
#130781332
#130780842
#130775572
#130774552
C2×#106226312
C11×#35062
#6133411