Finite Group Databasebeta

← #15633866

Subgroups — #15633866

Order 2816.

1798 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#13082483C211yesmaximal, characteristic, complemented
2#13081443C214yesmaximal, complemented
3#13081397C214yesmaximal, complemented
4#13081369C214yesmaximal, complemented
5#13081334C214yesmaximal, complemented
6#13078986C212yesmaximal, complemented
7#13078964C211yesmaximal, characteristic, complemented
8#13078463C212yesmaximal, complemented
9#13078417C211yesmaximal, characteristic, complemented
10#13078128C212yesmaximal, complemented
11#13078080C211yesmaximal, characteristic
12#13077557C211yesmaximal, characteristic, complemented
13#13077448C212yesmaximal, complemented
14C2×#10622631C211yesmaximal, characteristic, complemented
15C11×#3501C211yesmaximal, characteristic, complemented
16C11×#554—21no—
17C11×#554—22no—
18C11×#554C2214yes—
19C11×#554C2212yes—
20D4×Q8×C11—21no—
21D4×Q8×C11C2212yes—
22C11×#544C2212yes—
23C11×#543—22no—
24C11×#533C2211yescharacteristic
25C11×#533C2211yescharacteristic
26C2×C11×C22⋊Q8—22no—
27C11×#518C2212yes—
28C2×C4×D4×C11C2211yescharacteristic
29C22×#4324C2211yescharacteristic
30C2×#66985C2212yes—
31#10623263—21no—
32#10623261—21no—
33#10623225—22no—
34#10623176—22no—
35#10623155—22no—
36#10623116C2212yescomplemented
37#10623115C2214yescomplemented
38#10623101C2212yescomplemented
39#10623057C2212yes—
40#10623054C2212yes—
41#10623008C2211yescharacteristic
42C2×C4×Dic22C2211yescharacteristic
43C2×#66896C2211yescharacteristic
44#10622707C2212yescomplemented
45#10622706C2214yescomplemented
46#10622704C2214yescomplemented
47#10622704C2212yescomplemented
48#10622702C2214yescomplemented
49#10622702C2212yescomplemented
50#10622702C2212yescomplemented
51#10622700C2214yescomplemented
52#10622682C2212yescomplemented
53#10622682C2214yescomplemented
54#10622681C2214yescomplemented
55#10622680C2212yescomplemented
56#10622679C2214yescomplemented
57#10622676C2214yescomplemented
58#10622676C2214yescomplemented
59#10622637C2214yescomplemented
60#10622637C2214yescomplemented
61#10622632C2212yes—
62#10622632C2214yes—
63#10622632C2214yes—
64#10622631C2214yes—
65#10622631C2214yes—
66#10622631C2214yes—
67C4×#4324C2214yes—
68#10622629C2214yes—
69#10622629C2214yes—
70#10622629C2214yes—
71#10622628C2212yes—
72#10622627C2214yes—
73C4×#4323C2214yes—
74#10622617C2212yes—
75#10622615C2212yes—
76#10622615C2212yes—
77#10622612C2212yes—
78#10622610C2212yes—
79#10622608C2212yes—
80C2×#66874C2211yescharacteristic
81#10622579C2212yes—
82C2×#66871C2211yescharacteristic
83#10622537C2211yescharacteristic
84C2×#66867C2211yescharacteristic
85C22×Q8×C11—22no—
86C22×D4×C11C2311yescharacteristic
87C23×C4×C11—21no—
88C2×#4339C2312yes—
89C22×Dic22C2311yescharacteristic
90C11×C4⋊Q8—22no—
91C11×C4⋊Q8D411yescharacteristic
92C11×C4⋊Q8D411yescharacteristic
93C11×C4⋊Q8C2311yescharacteristic
94C11×C4⋊Q8C2311yescharacteristic
95C11×C4⋊Q8C2314yes—
96C11×#125—22no—
97C11×#125D412yes—
98C11×#125C2312yes—
99C11×#125C2314yes—
100C11×C22⋊Q8—22no—
101C11×C22⋊Q8—24no—
102C11×C22⋊Q8—21no—
103C11×C22⋊Q8—21no—
104C11×C22⋊Q8—22no—
105C11×C22⋊Q8—24no—
106C11×C22⋊Q8—24no—
107C11×C22⋊Q8—24no—
108C11×C22⋊Q8—24no—
109C11×C22⋊Q8—24no—
110C11×C22⋊Q8D412yes—
111C11×C22⋊Q8D412yes—
112C4×Q8×C11—21no—
113C4×Q8×C11—21no—
114C4×Q8×C11C2312yes—
115C4×Q8×C11C2312yes—
116C4×D4×C11—22no—
117C4×D4×C11—22no—
118C4×D4×C11—21no—
119C4×D4×C11—21no—
120C4×D4×C11C2312yes—
121C4×D4×C11C2312yes—
122C4×D4×C11C2314yes—
123C4×D4×C11C2314yes—
124C11×#117C2312yes—
125C11×#117C2312yes—
126C2×C11×C4⋊C4—24no—
127C2×C11×C4⋊C4—22no—
128C2×C11×C4⋊C4C2311yescharacteristic
129C2×C11×C22⋊C4—21no—
130C2×C11×C22⋊C4—24no—
131C2×C42×C11C2311yescharacteristic
132#67000—22no—
133#66999—24no—
134Q8×Dic11—22no—
135C2×#4324—24no—
136C2×#4324C2314yes—
137C2×#4324C2314yes—
138#66985—28no—
139C2×#4323C2314yes—
140#66983—21no—
141#66983—21no—
142C2×C4⋊Dic11C2311yescharacteristic
143C2×Dic11⋊C4—21no—
144C2×C4×Dic11—21no—
145C2×#4318C2312yes—
146C22×C11⋊C8C2311yescharacteristic
147C22×C11⋊C8C2311yescharacteristic
148#66951—24no—
149#66951—24no—
150#66950—22no—
151#66950—22no—
152#66947—24no—
153#66946—22no—
154#66945—22no—
155#66945—24no—
156C4⋊C4×D11—22no—
157#66943—22no—
158#66943—24no—
159#66939—24no—
160(C22⋊D11)⋊C4—24no—
161#66928C2312yes—
162#66928C2314yes—
163#66927C2311yescharacteristic
164C4×D44—21no—
165C4×D44—21no—
166C4×D44C2314yes—
167#66922C2311yescharacteristic
168#66922C2314yes—
169C4×Dic22—21no—
170C4×Dic22—21no—
171C4×Dic22C2312yes—
172C4×Dic22C2312yes—
173C4×Dic22C2314yes—
174#66896C2314yes—
175#66874C2314yes—
176#66874C2314yes—
177#66874C2312yes—
178#66874C2312yes—
179#66874C2312yes—
180#66874C2312yes—
181#66874C2314yes—
182#66874C2314yes—
183#66873C2314yes—
184#66873C2312yes—
185#66873C2312yes—
186#66873C2312yes—
187#66873C2312yes—
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#61333—111nomaximal, Sylow
200C24×C11—21no—
201C2×Q8×C11—21no—
202C2×Q8×C11—21no—
203C2×Q8×C11—24no—
204C2×Q8×C11—84no—
205C2×Q8×C11C2×D412yes—
206C2×Q8×C11C2×D412yes—
207C2×D4×C11—21no—
208C2×D4×C11—22no—
209C2×D4×C11#4114yes—
210C2×D4×C11C2412yes—
211C22×C4×C11—21no—
212C22×C4×C11—22no—
213C22×C4×C11—24no—
214C22×C4×C11—24no—
215C22×C4×C11—22no—
216C22×C4×C11—82no—
217C22×C4×C11C2×D411yescharacteristic
218C22×C4×C11C2×D411yescharacteristic
219C22×C4×C11C2411yescharacteristic
220C2×C22⋊D11—22no—
221C22×Dic11—21no—
222C22×Dic11—21no—
223#4339—24no—
224#4339—24no—
225C2×D44—21no—
226C2×D44—21no—
227C2×D44C2412yes—
228C2×C4×D11—22no—
229C2×C4×D11—24no—
230C2×Dic22—21no—
231C2×Dic22—22no—
232C2×Dic22—22no—
233C2×Dic22C2412yes—
234C2×Dic22C2412yes—
235C11×C4⋊C4—22no—
236C11×C4⋊C4—21no—
237C11×C4⋊C4—24no—
238C11×C4⋊C4—24no—
239C11×C4⋊C4—24no—
240C11×C4⋊C4—21no—
241C11×C4⋊C4—22no—
242C11×C4⋊C4—21no—
243C11×C4⋊C4C2×D412yes—
244C11×C4⋊C4C2×D414yes—
245C11×C4⋊C4C2×D412yes—
246C11×C4⋊C4C2×D412yes—
247C11×C4⋊C4C2×D414yes—
248C11×C4⋊C4C2×D412yes—
249C11×C4⋊C4C2412yes—
250C11×C4⋊C4C2412yes—
251C11×C4⋊C4C2412yes—
252C11×C22⋊C4—22no—
253C11×C22⋊C4—24no—
254C11×C22⋊C4—24no—
255C11×C22⋊C4—22no—
256C11×C22⋊C4—22no—
257C11×C22⋊C4C2×D414yes—
258C42×C11—22no—
259C42×C11C2×D411yescharacteristic
260C42×C11C2×D411yescharacteristic
261C42×C11C2414yes—
262C42×C11C2411yescharacteristic
263C42×C11C2411yescharacteristic
264#4324—28no—
265#4324—28no—
266#4323—28no—
267(C2×D11)⋊C4—22no—
268(C2×D11)⋊C4—22no—
269(C2×D11)⋊C4—24no—
270(C2×D11)⋊C4—24no—
271(C2×D11)⋊C4—24no—
272C4⋊Dic11—21no—
273C4⋊Dic11—21no—
274C4⋊Dic11—21no—
275C4⋊Dic11—24no—
276C4⋊Dic11—24no—
277C4⋊Dic11C2412yes—
278Dic11⋊C4—22no—
279Dic11⋊C4—22no—
280Dic11⋊C4—24no—
281C4×Dic11—22no—
282C4×Dic11—22no—
283C4×Dic11—24no—
284#4318—24no—
285C2×C11⋊C8—22no—
286C2×C11⋊C8—22no—
287C2×C11⋊C8C2412yes—
288C2×C11⋊C8C2414yes—
289C2×C11⋊C8C2412yes—
290#3507—111no—
291#3501D1111yescharacteristic, complemented
292#3376—114no—
293#3372—114no—
294#3370—114no—
295#3367—114no—
296#3137—112no—
297#3135—111no—
298#3083—112no—
299#3078—111no—
300#3042—112no—
301#3036—111no—
302#2961—111no—
303#2946—112no—
304C2×#440—111no—
305C23×C11—22no—
306C23×C11—24no—
307C23×C11—81no—
308C23×C11—81no—
309C23×C11C22×D411yescharacteristic
310C22×D11—22no—
311Q8×C11—42no—
312Q8×C11—42no—
313Q8×C11—42no—
314Q8×C11—81no—
315Q8×C11—84no—
316D4×C11—24no—
317D4×C11—22no—
318D4×C11C2×#4114yes—
319C2×C4×C11—22no—
320C2×C4×C11—22no—
321C2×C4×C11—22no—
322C2×C4×C11—41no—
323C2×C4×C11—41no—
324C2×C4×C11—44no—
325C2×C4×C11—84no—
326C2×C4×C11—82no—
327C2×C4×C11—84no—
328C2×C4×C11—81no—
329C2×C4×C11C22×D411yescharacteristic
330C2×C4×C11C22×D411yescharacteristic
331C2×C4×C11C22×D414yes—
332C2×C4×C11C22×D411yescharacteristic
333C2×C4×C11C22×D411yescharacteristic
334C2×C4×C11C22×D414yes—
335C2×C4×C11C22×D411yescharacteristic
336C2×C4×C11C2×#4112yes—
337C2×C4×C112−1+412yes—
338C2×C4×C11C2511yescharacteristic
339C22⋊D11—44no—
340C2×Dic11—22no—
341C2×Dic11—22no—
342C2×Dic11—22no—
343C2×Dic11—42no—
344C2×Dic11—81no—
345D44—22no—
346D44—22no—
347D44—42no—
348D44—81no—
349C4×D11—44no—
350C4×D11—84no—
351Dic22—22no—
352Dic22—22no—
353Dic22—22no—
354Dic22—22no—
355Dic22—42no—
356C11⋊C8—22no—
357C11⋊C8—24no—
358C11⋊C8—22no—
359C2×AGL(1,ℤ/8)—112no—
360C22×SD16—111no—
361#559—112no—
362#557—112no—
363#556—114no—
364#556—221no—
365#554—21no—
366#554—22no—
367#554—221no—
368#554C2×D1114yes—
369#554C2×D1112yes—
370#552—222no—
371D4×Q8—21no—
372D4×Q8C2×D1112yes—
373#544C2×D1112yes—
374#543—22no—
375#539—222no—
376#536—112no—
377#533C2×D1111yescharacteristic
378#533C2×D1111yescharacteristic
379#532—111no—
380#529—222no—
381C2×C22⋊Q8—22no—
382#520—112no—
383#518C2×D1112yes—
384C2×C4×Q8—111no—
385C2×C4×D4C2×D1111yescharacteristic
386#491—112no—
387#491—114no—
388#490—112no—
389#489—112no—
390#489—114no—
391#489—112no—
392#488—114no—
393#487—114no—
394#479—114no—
395#479—114no—
396#478—114no—
397#477—112no—
398#477—114no—
399#475—112no—
400#474—114no—
401#463—114no—
402#463—114no—
403#463—114no—
404#461—114no—
405#461—112no—
406#461—114no—
407#459—112no—
408#446—114no—
409#446—114no—
410#442—114no—
411#440—114no—
412#440—114no—
413#440—114no—
414C4×SD16—114no—
415C4×D8—114no—
416#428—112no—
417C2×#107—111no—
418#424—112no—
419#423—111no—
420#419—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—24no—
431C22×C11—42no—
432C22×C11—42no—
433C22×C11—84no—
434C22×C11#54812yes—
435C22×C11C23×D411yescharacteristic
436C2×D11—42no—
437C2×D11—42no—
438C2×D11—42no—
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—42no—
448C4×C11#54812yes—
449C4×C11C22×#4111yescharacteristic
450C4×C11C2×2−1+411yescharacteristic
451Dic11—42no—
452Dic11—42no—
453Dic11—42no—
454C2×#41—112no—
455C22×Q8—22no—
456C22×Q8—111no—
457C22×D4C22×D1111yescharacteristic
458C23×C4—21no—
459AGL(1,ℤ/8)—228no—
460C2×SD16—114no—
461C2×SD16—114no—
462C2×SD16—224no—
463C2×D8—114no—
464C2×M16—112no—
465C22×C8—111no—
466C22×C8—111no—
467C4⋊Q8—22no—
468C4⋊Q8—111no—
469C4⋊Q8—114no—
470C4⋊Q8C22⋊D1111yescharacteristic
471C4⋊Q8C22⋊D1111yescharacteristic
472C4⋊Q8C22×D1111yescharacteristic
473C4⋊Q8C22×D1111yescharacteristic
474C4⋊Q8C22×D1114yes—
475#127—111no—
476#126—224no—
477#126—224no—
478#125—22no—
479#125—222no—
480#125—224no—
481#125C22⋊D1112yes—
482#125C22×D1112yes—
483#125C22×D1114yes—
484#124—112no—
485#124—114no—
486#124—222no—
487#123—224no—
488#123—224no—
489C22⋊Q8—22no—
490C22⋊Q8—24no—
491C22⋊Q8—21no—
492C22⋊Q8—21no—
493C22⋊Q8—22no—
494C22⋊Q8—24no—
495C22⋊Q8—24no—
496C22⋊Q8—24no—
497C22⋊Q8—24no—
498C22⋊Q8—24no—
499C22⋊Q8—224no—
500C22⋊Q8—222no—
501C22⋊Q8—222no—
502C22⋊Q8C22⋊D1112yes—
503C22⋊Q8C22⋊D1112yes—
504#121—221no—
505#121—221no—
506C4×Q8—21no—
507C4×Q8—21no—
508C4×Q8—112no—
509C4×Q8—112no—
510C4×Q8—114no—
511C4×Q8—222no—
512C4×Q8—221no—
513C4×Q8—221no—
514C4×Q8C22×D1112yes—
515C4×Q8C22×D1112yes—
516C4×D4—22no—
517C4×D4—22no—
518C4×D4—21no—
519C4×D4—21no—
520C4×D4—114no—
521C4×D4—222no—
522C4×D4—224no—
523C4×D4—221no—
524C4×D4—221no—
525C4×D4C22×D1112yes—
526C4×D4C22×D1112yes—
527C4×D4C22×D1114yes—
528C4×D4C22×D1114yes—
529#117—222no—
530#117—224no—
531#117C22×D1112yes—
532#117C22×D1112yes—
533C2×C4⋊C4—24no—
534C2×C4⋊C4—22no—
535C2×C4⋊C4—111no—
536C2×C4⋊C4—221no—
537C2×C4⋊C4—222no—
538C2×C4⋊C4C22×D1111yescharacteristic
539C2×C22⋊C4—21no—
540C2×C22⋊C4—24no—
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—114no—
551#103—112no—
552#103—112no—
553#103—112no—
554#103—112no—
555#103—114no—
556#103—114no—
557#103—114no—
558#102—114no—
559#102—112no—
560#102—112no—
561#102—112no—
562#102—112no—
563#102—114no—
564#97—112no—
565#97—112no—
566#97—114no—
567C4×C8—114no—
568C2×C11—22no—
569C2×C11—44no—
570C2×C11C2×#54811yescharacteristic
571C2×C11#358511yescharacteristic
572C2×C11#358611yescharacteristic
573D11—82no—
574C24—21no—
575#41—224no—
576#41—224no—
577C2×Q8—21no—
578C2×Q8—21no—
579C2×Q8—24no—
580C2×Q8—84no—
581C2×Q8—112no—
582C2×Q8—112no—
583C2×Q8—221no—
584C2×Q8—222no—
585C2×Q8—222no—
586C2×Q8C2×C22⋊D1112yes—
587C2×Q8C2×C22⋊D1112yes—
588C2×D4—22no—
589C2×D4—21no—
590C2×D4—112no—
591C2×D4—222no—
592C2×D4—221no—
593C2×D4—221no—
594C2×D4#434314yes—
595C2×D4C23×D1112yes—
596C22×C4—21no—
597C22×C4—22no—
598C22×C4—24no—
599C22×C4—24no—
600C22×C4—22no—
601C22×C4—82no—
602C22×C4—221no—
603C22×C4—221no—
604C22×C4—222no—
605C22×C4—224no—
606C22×C4C2×C22⋊D1111yescharacteristic
607C22×C4C2×C22⋊D1111yescharacteristic
608C22×C4C23×D1111yescharacteristic
609SD16—228no—
610SD16—228no—
611D8—228no—
612M16—224no—
613C2×C8—112no—
614C2×C8—114no—
615C2×C8—112no—
616C2×C8—222no—
617C2×C8—222no—
618C4⋊C4—22no—
619C4⋊C4—21no—
620C4⋊C4—24no—
621C4⋊C4—24no—
622C4⋊C4—24no—
623C4⋊C4—21no—
624C4⋊C4—22no—
625C4⋊C4—21no—
626C4⋊C4—112no—
627C4⋊C4—221no—
628C4⋊C4—224no—
629C4⋊C4—222no—
630C4⋊C4—222no—
631C4⋊C4—224no—
632C4⋊C4—221no—
633C4⋊C4—221no—
634C4⋊C4—224no—
635C4⋊C4C2×C22⋊D1114yes—
636C4⋊C4C2×C22⋊D1112yes—
637C4⋊C4C2×C22⋊D1112yes—
638C4⋊C4C2×C22⋊D1112yes—
639C4⋊C4C2×C22⋊D1114yes—
640C4⋊C4C2×C22⋊D1112yes—
641C4⋊C4C23×D1112yes—
642C4⋊C4C23×D1112yes—
643C4⋊C4C23×D1112yes—
644C22⋊C4—22no—
645C22⋊C4—24no—
646C22⋊C4—24no—
647C22⋊C4—22no—
648C22⋊C4—22no—
649C22⋊C4—222no—
650C22⋊C4—224no—
651C22⋊C4—224no—
652C22⋊C4—222no—
653C22⋊C4—224no—
654C22⋊C4C2×C22⋊D1114yes—
655C42—22no—
656C42—222no—
657C42—222no—
658C42—224no—
659C42C2×C22⋊D1111yescharacteristic
660C42C2×C22⋊D1111yescharacteristic
661C42C23×D1114yes—
662C42C23×D1111yescharacteristic
663C42C23×D1111yescharacteristic
664C11#6133311yescharacteristic, complemented, Sylow
665C23—22no—
666C23—24no—
667C23—81no—
668C23—81no—
669C23—222no—
670C23C22×C22⋊D1111yescharacteristic
671Q8—42no—
672Q8—42no—
673Q8—42no—
674Q8—81no—
675Q8—84no—
676Q8—222no—
677Q8—222no—
678Q8—222no—
679Q8—222no—
680Q8—442no—
681D4—24no—
682D4—22no—
683D4—222no—
684D4—222no—
685D4—442no—
686D4—444no—
687D4—881no—
688D4C2×#434314yes—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—44no—
695C2×C4—84no—
696C2×C4—82no—
697C2×C4—84no—
698C2×C4—81no—
699C2×C4—222no—
700C2×C4—222no—
701C2×C4—222no—
702C2×C4—442no—
703C2×C4—444no—
704C2×C4—884no—
705C2×C4—881no—
706C2×C4C2×#434312yes—
707C2×C4#6704012yes—
708C2×C4C22×C22⋊D1111yescharacteristic
709C2×C4C22×C22⋊D1111yescharacteristic
710C2×C4C22×C22⋊D1114yes—
711C2×C4C22×C22⋊D1111yescharacteristic
712C2×C4C22×C22⋊D1111yescharacteristic
713C2×C4C22×C22⋊D1114yes—
714C2×C4C22×C22⋊D1111yescharacteristic
715C2×C4C24×D1111yescharacteristic
716C8—222no—
717C8—224no—
718C8—222no—
719C22—21no—
720C22—21no—
721C22—24no—
722C22—42no—
723C22—42no—
724C22—84no—
725C22—442no—
726C22—442no—
727C22—442no—
728C22#1062334812yes—
729C22C23×C22⋊D1111yescharacteristic
730C4—21no—
731C4—21no—
732C4—24no—
733C4—21no—
734C4—21no—
735C4—24no—
736C4—42no—
737C4—42no—
738C4—42no—
739C4—442no—
740C4—442no—
741C4—442no—
742C4#1062334812yes—
743C4C22×#434311yescharacteristic
744C4C2×#6704011yescharacteristic
745C2—22no—
746C2—44no—
747C2—882no—
748C2C2×#1062334811yescharacteristic
749C2#1308339611yescharacteristic
750C2#1308340211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D11
commutator, cosocleC2×C4×C11C25
FrattiniC2×C4C24×D11
FittingC11×#3501C2
socleC22×C11C23×D4
prime radical#13078080C2
hypercenter#3501D11
hypocenterC11#61333
LCSG ▷ C2×C4×C11 ▷ C2×C11 ▷ C11
UCSC1 ◁ C22 ◁ #533 ◁ #3501

Complements

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

NH ≅ G/Ntype
1. #13082483C2semidirect
2. #13081443C2semidirect
3. #13081397C2semidirect
4. #13081369C2semidirect
5. #13081334C2semidirect
6. #13078986C2semidirect
7. #13078964C2semidirect
8. #13078463C2semidirect
9. #13078417C2semidirect
10. #13078128C2semidirect
12. #13077557C2semidirect
13. #13077448C2semidirect
14. C2×#10622631C2semidirect
15. C11×#3501C2semidirect
36. #10623116C22semidirect
37. #10623115C22semidirect
38. #10623101C22semidirect
44. #10622707C22semidirect
45. #10622706C22semidirect
46. #10622704C22semidirect
47. #10622704C22semidirect
48. #10622702C22semidirect
49. #10622702C22semidirect
50. #10622702C22semidirect
51. #10622700C22semidirect
52. #10622682C22semidirect
53. #10622682C22semidirect
54. #10622681C22semidirect
55. #10622680C22semidirect
56. #10622679C22semidirect
57. #10622676C22semidirect
58. #10622676C22semidirect
59. #10622637C22semidirect
60. #10622637C22semidirect
291. #3501D11semidirect
664. C11#61333semidirect

Maximal subgroups

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

subgroupindex
#130824832
#130814432
#130813972
#130813692
#130813342
#130789862
#130789642
#130784632
#130784172
#130781282
#130780802
#130775572
#130774482
C2×#106226312
C11×#35012
#6133311