Finite Group Databasebeta

← #29655003

Subgroups — #29655003

Order 15616.

1176 conjugacy classes of subgroups.

The subgroup lattice has 766 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21456616C211yesmaximal, characteristic, complemented
2#21456580C211yesmaximal, characteristic, complemented
3#21451923C211yesmaximal, characteristic, complemented
4#21444867C212yesmaximal, complemented
5#21444839C212yesmaximal, complemented
6#21444765C212yesmaximal, complemented
7#21444737C212yesmaximal, complemented
8#21444323C211yesmaximal, characteristic, complemented
9C2×#16839496C211yesmaximal, characteristic, complemented
10#21444179C211yesmaximal, characteristic, complemented
11C61×#3537C211yesmaximal, characteristic, complemented
12C2×#14519751C2211yescharacteristic, complemented
13C2×#14519749—22no—
14#16840095C2211yescharacteristic, complemented
15#16840086—21no—
16#16840080—21no—
17#16840078C2212yescomplemented
18#16840078C2211yescharacteristic, complemented
19#16840013—22no—
20#16839996—21no—
21#16839993—21no—
22#16839912C2211yescharacteristic, complemented
23#16839907—21no—
24#16839896—21no—
25#16839895C2211yescharacteristic, complemented
26#16839895C2212yescomplemented
27#16839726C2211yescharacteristic, complemented
28C2×C22⋊#92418C2211yescharacteristic, complemented
29#16839698C2212yescomplemented
30#16839697—21no—
31#16839671C2212yescomplemented
32#16839670—21no—
33C2×#14519684C2211yescharacteristic, complemented
34#16839499C2212yescomplemented
35#16839496C2212yescomplemented
36#16839496C2212yescomplemented
37#16839496C2212yescomplemented
38#16839486C2212yescomplemented
39#16839486C2212yescomplemented
40C61×#560—22no—
41C61×#553—21no—
42C61×#553—21no—
43D42×C61—22no—
44D42×C61—21no—
45D42×C61—21no—
46C61×#540—21no—
47C61×#538—21no—
48C61×#538C2212yes—
49C61×#535—21no—
50C61×#534—21no—
51C61×#534C2212yes—
52C61×#525C2211yescharacteristic
53C2×#121×C61C2211yescharacteristic
54C2×#121×C61C2211yescharacteristic
55C22×D244C2311yescharacteristic
56C22×C22⋊D61—21no—
57C22×C22⋊D61—22no—
58C23×Dic61—21no—
59C2×#11758201—21no—
60C2×#11758199—21no—
61C2×#11758199—22no—
62C2×#11758194—21no—
63C22×#92418—21no—
64#14519751—21no—
65#14519751—21no—
66#14519751—21no—
67#14519751—21no—
68#14519749—48no—
69C2×C4⋊Dic61C2311yescharacteristic
70C2×#11758196—22no—
71C2×C22⋊Dic61—22no—
72C2×#11758198—22no—
73C2×#11758198—21no—
74#14519710—21no—
75#14519708—21no—
76#14519708—22no—
77#14519701—21no—
78#14519698—21no—
79#14519698—22no—
80#14519697—21no—
81#14519697—21no—
82#14519697—22no—
83C22⋊#92418—21no—
84C22⋊#92418—21no—
85C22⋊#92418C2311yescharacteristic
86C22⋊#92418C2311yescharacteristic
87C22⋊#92418C2312yes—
88#14519684—21no—
89#14519684C2312yes—
90C2×#41×C61D411yescharacteristic, complemented
91C22×D4×C61—22no—
92C22×D4×C61—21no—
93C22×D4×C61—22no—
94C22×D4×C61—21no—
95C22×D4×C61D412yes—
96C22×D4×C61D411yescharacteristic
97C22×D4×C61D411yescharacteristic, complemented
98C23×C4×C61C2311yescharacteristic
99#127×C61—22no—
100#127×C61—21no—
101#126×C61—22no—
102#126×C61—22no—
103#125×C61—21no—
104#124×C61—22no—
105#123×C61—22no—
106#123×C61—21no—
107#123×C61—22no—
108#123×C61—22no—
109#123×C61—22no—
110C22⋊Q8×C61D411yescharacteristic, complemented
111C22⋊Q8×C61C2311yescharacteristic
112#121×C61—22no—
113#121×C61—21no—
114#121×C61—21no—
115#121×C61—22no—
116#121×C61—22no—
117#121×C61—22no—
118#121×C61—22no—
119#121×C61—21no—
120#121×C61—22no—
121#121×C61—21no—
122#121×C61—21no—
123#121×C61—21no—
124#121×C61—21no—
125#121×C61—21no—
126#121×C61D411yescharacteristic, complemented
127#121×C61D412yescomplemented
128#121×C61C2311yescharacteristic
129#121×C61C2312yes—
130#120×C61—22no—
131#120×C61—22no—
132#120×C61—22no—
133#120×C61—22no—
134#120×C61—21no—
135#120×C61—22no—
136#120×C61—22no—
137C4×D4×C61—22no—
138C4×D4×C61—21no—
139C4×D4×C61—21no—
140C4×D4×C61—22no—
141C4×D4×C61—21no—
142C4×D4×C61—21no—
143#117×C61—21no—
144#117×C61D411yescharacteristic, complemented
145C2×C4⋊C4×C61D411yescharacteristic
146C2×C4⋊C4×C61D411yescharacteristic, complemented
147C2×C22⋊C4×C61—21no—
148C2×C22⋊C4×C61C2312yes—
149C24×C61—22no—
150C24×C61—21no—
151C24×C61C2×D411yescharacteristic
152C24×C61C2×D412yes—
153C23×D61—21no—
154#41×C61—81no—
155C2×Q8×C61C2×D411yescharacteristic
156C2×D4×C61—22no—
157C2×D4×C61—21no—
158C2×D4×C61—22no—
159C2×D4×C61—21no—
160C2×D4×C61—22no—
161C2×D4×C61—22no—
162C2×D4×C61—22no—
163C2×D4×C61—22no—
164C2×D4×C61—22no—
165C2×D4×C61—21no—
166C2×D4×C61—22no—
167C2×D4×C61—22no—
168C2×D4×C61—21no—
169C2×D4×C61—21no—
170C2×D4×C61—21no—
171C2×D4×C61—44no—
172C2×D4×C61—81no—
173C2×D4×C61—82no—
174C2×D4×C61—81no—
175C2×D4×C61—81no—
176C2×D4×C61—81no—
177C2×D4×C61—82no—
178C2×D4×C61—82no—
179C2×D4×C61—84no—
180C2×D4×C61C2×D411yescharacteristic
181C2×D4×C61C2×D412yes—
182C22×C4×C61—22no—
183C22×C4×C61—22no—
184C22×C4×C61—21no—
185C22×C4×C61—21no—
186C22×C4×C61—81no—
187C22×C4×C61C2×D412yes—
188C22×C4×C61C2×D411yescharacteristic
189C22×C4×C61C2×D411yescharacteristic
190C22×C4×C61C2×D411yescharacteristic
191C22×C4×C61C2×D411yescharacteristic
192C22×C4×C61C2×D411yescharacteristic
193C22×C4×C61C2411yescharacteristic
194C2×C22⋊D61—44no—
195C2×C22⋊D61—44no—
196C2×C22⋊D61—41no—
197C2×C22⋊D61—41no—
198C2×C22⋊D61—82no—
199C2×C22⋊D61—82no—
200C22×Dic61—22no—
201C22×Dic61—24no—
202C22×Dic61—21no—
203C22×Dic61—81no—
204C22×Dic61—81no—
205C2×D244—21no—
206C2×D244—21no—
207C2×D244—81no—
208C4⋊C4×C61—22no—
209C4⋊C4×C61—22no—
210C4⋊C4×C61—21no—
211C4⋊C4×C61—21no—
212C4⋊C4×C61—21no—
213C4⋊C4×C61—21no—
214C4⋊C4×C61—21no—
215C4⋊C4×C61C2×D412yes—
216C4⋊C4×C61C2×D411yescharacteristic
217C4⋊C4×C61C2×D411yescharacteristic
218C22⋊C4×C61—22no—
219C22⋊C4×C61—22no—
220C22⋊C4×C61—22no—
221C22⋊C4×C61—22no—
222C22⋊C4×C61—22no—
223C22⋊C4×C61—21no—
224C22⋊C4×C61—21no—
225C22⋊C4×C61—21no—
226C22⋊C4×C61—22no—
227C22⋊C4×C61—21no—
228C22⋊C4×C61—22no—
229C22⋊C4×C61—22no—
230C22⋊C4×C61—22no—
231C22⋊C4×C61—21no—
232C42×C61—22no—
233C42×C61—21no—
234C22⋊Dic61—44no—
235#11758201—81no—
236#11758199—81no—
237#11758199—82no—
238#11758198—44no—
239#11758198—41no—
240#11758198—41no—
241C4⋊Dic61—21no—
242C4⋊Dic61—21no—
243#11758196—44no—
244#11758194—81no—
245C2×#92418—21no—
246C2×#92418—22no—
247C2×#92418—21no—
248C2×#92418—81no—
249C23×C61—21no—
250C23×C61—21no—
251C23×C61—22no—
252C23×C61—22no—
253C23×C61—22no—
254C23×C61—21no—
255C23×C61—22no—
256C23×C61—22no—
257C23×C61—41no—
258C23×C61—42no—
259C23×C61—42no—
260C23×C61—42no—
261C23×C61—81no—
262C23×C61—81no—
263C23×C61—82no—
264C23×C61—82no—
265C23×C61—82no—
266C23×C61#12011yescharacteristic
267C23×C61#12011yescharacteristic
268C23×C61C22×D411yescharacteristic
269C22×D61—42no—
270C22×D61—42no—
271C22×D61—41no—
272C22×D61—41no—
273C22×D61—41no—
274Q8×C61—41no—
275D4×C61—42no—
276D4×C61—41no—
277D4×C61—42no—
278D4×C61—42no—
279D4×C61—42no—
280D4×C61—41no—
281D4×C61—42no—
282D4×C61—41no—
283D4×C61—44no—
284D4×C61—42no—
285D4×C61—81no—
286D4×C61—82no—
287D4×C61—82no—
288D4×C61—81no—
289D4×C61—82no—
290D4×C61—82no—
291D4×C61—82no—
292D4×C61—82no—
293D4×C61—82no—
294C2×C4×C61—21no—
295C2×C4×C61—22no—
296C2×C4×C61—22no—
297C2×C4×C61—21no—
298C2×C4×C61—21no—
299C2×C4×C61—41no—
300C2×C4×C61—41no—
301C2×C4×C61—41no—
302C2×C4×C61—41no—
303C2×C4×C61—41no—
304C2×C4×C61—41no—
305C2×C4×C61—42no—
306C2×C4×C61—42no—
307C2×C4×C61—81no—
308C2×C4×C61—82no—
309C2×C4×C61—82no—
310C2×C4×C61#12011yescharacteristic
311C2×C4×C61#12011yescharacteristic
312C2×C4×C61C22×D411yescharacteristic
313C2×C4×C61C22×D411yescharacteristic
314C22⋊D61—88no—
315C22⋊D61—82no—
316C22⋊D61—82no—
317C2×Dic61—24no—
318C2×Dic61—42no—
319C2×Dic61—42no—
320C2×Dic61—42no—
321C2×Dic61—41no—
322C2×Dic61—84no—
323D244—42no—
324D244—41no—
325D244—41no—
326#92418—41no—
327#92418—41no—
328#92418—42no—
329#18418—611nomaximal, Sylow
330C22×C61—21no—
331C22×C61—21no—
332C22×C61—21no—
333C22×C61—21no—
334C22×C61—21no—
335C22×C61—21no—
336C22×C61—21no—
337C22×C61—42no—
338C22×C61—42no—
339C22×C61—42no—
340C22×C61—42no—
341C22×C61—41no—
342C22×C61—42no—
343C22×C61—42no—
344C22×C61—41no—
345C22×C61—41no—
346C22×C61—42no—
347C22×C61—42no—
348C22×C61—82no—
349C22×C61—82no—
350C22×C61—162no—
351C22×C61—164no—
352C22×C61#45312yes—
353C22×C61C2×#12011yescharacteristic
354C22×C61#57611yescharacteristic
355C22×C61#57711yescharacteristic
356C2×D61—82no—
357C2×D61—82no—
358C2×D61—81no—
359C2×D61—81no—
360C2×D61—81no—
361C4×C61—21no—
362C4×C61—21no—
363C4×C61—21no—
364C4×C61—21no—
365C4×C61—42no—
366C4×C61—41no—
367C4×C61—42no—
368C4×C61—41no—
369C4×C61—41no—
370Dic61—44no—
371Dic61—81no—
372#3537D6111yescharacteristic, complemented
373#3192—611no—
374#3188—611no—
375#2656—611no—
376#1618—612no—
377#1613—612no—
378#1600—612no—
379#1595—612no—
380#1504—611no—
381C2×#327—611no—
382#1471—611no—
383C2×C61—21no—
384C2×C61—21no—
385C2×C61—22no—
386C2×C61—41no—
387C2×C61—82no—
388C2×C61—82no—
389C2×C61—81no—
390C2×C61#301211yescharacteristic
391C2×C61C2×#45311yescharacteristic
392C2×C61#302611yescharacteristic
393D61—161no—
394#560—22no—
395#553—21no—
396#553—21no—
397D42—22no—
398D42—21no—
399D42—21no—
400#540—21no—
401#538—21no—
402#538C2×D6112yes—
403#535—21no—
404#534—21no—
405#534C2×D6112yes—
406#525C2×D6111yescharacteristic
407C2×#121—611no—
408C2×#121—1222no—
409C2×#121C2×D6111yescharacteristic
410C2×#121C2×D6111yescharacteristic
411#484—611no—
412#482—1221no—
413#481—611no—
414#481—612no—
415#481—1221no—
416#469—1222no—
417#466—1221no—
418#465—1221no—
419#450—611no—
420#449—1221no—
421#447—611no—
422#447—612no—
423#447—1221no—
424#407—611no—
425C2×C22⋊C8—611no—
426#399—612no—
427#399—1221no—
428#392—612no—
429#392—1221no—
430C2×#95—611no—
431#328—612no—
432#327—612no—
433#327—612no—
434#327—612no—
435#323—612no—
436#323—612no—
437C61#1841811yescharacteristic, complemented, Sylow
438C2×#41C22⋊D6111yescharacteristic, complemented
439C22×D4—22no—
440C22×D4—21no—
441C22×D4—21no—
442C22×D4—22no—
443C22×D4—611no—
444C22×D4—1222no—
445C22×D4—1221no—
446C22×D4C22⋊D6112yes—
447C22×D4C22⋊D6111yescharacteristic
448C22×D4C22⋊D6111yescharacteristic, complemented
449C23×C4—1221no—
450C23×C4C22×D6111yescharacteristic
451C2×SD16—1221no—
452C2×D8—1222no—
453C2×D8—1221no—
454C2×M16—1221no—
455C22×C8—1221no—
456#127—22no—
457#127—21no—
458#126—22no—
459#126—22no—
460#125—21no—
461#124—22no—
462#123—22no—
463#123—21no—
464#123—22no—
465#123—22no—
466#123—22no—
467C22⋊Q8C22⋊D6111yescharacteristic, complemented
468C22⋊Q8C22×D6111yescharacteristic
469#121—22no—
470#121—21no—
471#121—21no—
472#121—22no—
473#121—22no—
474#121—22no—
475#121—22no—
476#121—21no—
477#121—21no—
478#121—21no—
479#121—21no—
480#121—21no—
481#121—21no—
482#121—22no—
483#121—1221no—
484#121—1221no—
485#121—1221no—
486#121—1221no—
487#121—2448no—
488#121C22⋊D6112yescomplemented
489#121C22⋊D6111yescharacteristic, complemented
490#121C22×D6112yes—
491#121C22×D6111yescharacteristic
492#120—22no—
493#120—22no—
494#120—22no—
495#120—21no—
496#120—22no—
497#120—22no—
498#120—22no—
499C4×D4—22no—
500C4×D4—21no—
501C4×D4—21no—
502C4×D4—21no—
503C4×D4—21no—
504C4×D4—22no—
505#117—21no—
506#117C22⋊D6111yescharacteristic, complemented
507C2×C4⋊C4—611no—
508C2×C4⋊C4—1222no—
509C2×C4⋊C4C22⋊D6111yescharacteristic
510C2×C4⋊C4C22⋊D6111yescharacteristic, complemented
511C2×C22⋊C4—21no—
512C2×C22⋊C4—1222no—
513C2×C22⋊C4—1221no—
514C2×C22⋊C4—1222no—
515C2×C22⋊C4C22×D6112yes—
516#107—1221no—
517#106—1221no—
518#106—1222no—
519#103—1221no—
520#102—1222no—
521#102—1221no—
522#102—1221no—
523#102—1222no—
524#102—1221no—
525C22⋊C8—611no—
526C22⋊C8—611no—
527C22⋊C8—612no—
528C22⋊C8—1221no—
529C22⋊C8—1221no—
530#95—612no—
531#95—1221no—
532C24—22no—
533C24—21no—
534C24—1221no—
535C24C2×C22⋊D6111yescharacteristic
536C24C2×C22⋊D6112yes—
537#41—81no—
538C2×Q8C2×C22⋊D6111yescharacteristic
539C2×D4—21no—
540C2×D4—22no—
541C2×D4—22no—
542C2×D4—21no—
543C2×D4—22no—
544C2×D4—22no—
545C2×D4—22no—
546C2×D4—22no—
547C2×D4—22no—
548C2×D4—21no—
549C2×D4—22no—
550C2×D4—22no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—44no—
555C2×D4—81no—
556C2×D4—82no—
557C2×D4—81no—
558C2×D4—81no—
559C2×D4—81no—
560C2×D4—82no—
561C2×D4—82no—
562C2×D4—84no—
563C2×D4—1221no—
564C2×D4—1221no—
565C2×D4—4881no—
566C2×D4—4882no—
567C2×D4—4882no—
568C2×D4—2444no—
569C2×D4—2444no—
570C2×D4—2441no—
571C2×D4—2441no—
572C2×D4C2×C22⋊D6111yescharacteristic
573C2×D4C2×C22⋊D6112yes—
574C22×C4—22no—
575C22×C4—22no—
576C22×C4—21no—
577C22×C4—21no—
578C22×C4—81no—
579C22×C4—1224no—
580C22×C4—1222no—
581C22×C4—1221no—
582C22×C4—4881no—
583C22×C4—4881no—
584C22×C4C2×C22⋊D6112yes—
585C22×C4C2×C22⋊D6111yescharacteristic
586C22×C4C2×C22⋊D6111yescharacteristic
587C22×C4C2×C22⋊D6111yescharacteristic
588C22×C4C2×C22⋊D6111yescharacteristic
589C22×C4C2×C22⋊D6111yescharacteristic
590C22×C4C23×D6111yescharacteristic
591SD16—4881no—
592D8—4881no—
593D8—4882no—
594M16—4881no—
595C2×C8—1221no—
596C2×C8—1222no—
597C2×C8—1221no—
598C2×C8—4881no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—21no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—21no—
605C4⋊C4—21no—
606C4⋊C4—1221no—
607C4⋊C4—1221no—
608C4⋊C4—2444no—
609C4⋊C4C2×C22⋊D6112yes—
610C4⋊C4C2×C22⋊D6111yescharacteristic
611C4⋊C4C2×C22⋊D6111yescharacteristic
612C22⋊C4—22no—
613C22⋊C4—22no—
614C22⋊C4—22no—
615C22⋊C4—22no—
616C22⋊C4—22no—
617C22⋊C4—21no—
618C22⋊C4—21no—
619C22⋊C4—21no—
620C22⋊C4—22no—
621C22⋊C4—22no—
622C22⋊C4—22no—
623C22⋊C4—21no—
624C22⋊C4—22no—
625C22⋊C4—21no—
626C22⋊C4—2444no—
627C22⋊C4—2444no—
628C22⋊C4—2441no—
629C22⋊C4—2441no—
630C42—22no—
631C42—21no—
632C23—21no—
633C23—21no—
634C23—22no—
635C23—22no—
636C23—22no—
637C23—21no—
638C23—22no—
639C23—22no—
640C23—41no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—81no—
645C23—81no—
646C23—82no—
647C23—82no—
648C23—82no—
649C23—2442no—
650C23—2442no—
651C23—2441no—
652C23—2441no—
653C23—2441no—
654C23#1451974611yescharacteristic
655C23#1451974611yescharacteristic
656C23C22×C22⋊D6111yescharacteristic
657Q8—41no—
658D4—42no—
659D4—41no—
660D4—42no—
661D4—42no—
662D4—42no—
663D4—41no—
664D4—42no—
665D4—41no—
666D4—44no—
667D4—42no—
668D4—81no—
669D4—82no—
670D4—82no—
671D4—81no—
672D4—82no—
673D4—82no—
674D4—82no—
675D4—82no—
676D4—82no—
677D4—4882no—
678D4—4882no—
679D4—4888no—
680D4—2442no—
681D4—2441no—
682D4—2441no—
683C2×C4—21no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—81no—
697C2×C4—82no—
698C2×C4—82no—
699C2×C4—1224no—
700C2×C4—4884no—
701C2×C4—2442no—
702C2×C4—2441no—
703C2×C4—2442no—
704C2×C4—2442no—
705C2×C4#1451974611yescharacteristic
706C2×C4#1451974611yescharacteristic
707C2×C4C22×C22⋊D6111yescharacteristic
708C2×C4C22×C22⋊D6111yescharacteristic
709C8—2441no—
710C8—2441no—
711C8—2442no—
712C22—21no—
713C22—21no—
714C22—21no—
715C22—21no—
716C22—21no—
717C22—21no—
718C22—21no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—41no—
724C22—42no—
725C22—42no—
726C22—41no—
727C22—41no—
728C22—42no—
729C22—42no—
730C22—82no—
731C22—82no—
732C22—162no—
733C22—164no—
734C22—4882no—
735C22—4882no—
736C22—4881no—
737C22—4881no—
738C22—4881no—
739C22#1683993012yes—
740C22C2×#1451974611yescharacteristic
741C22#1684056511yescharacteristic
742C22#1684057311yescharacteristic
743C4—21no—
744C4—21no—
745C4—21no—
746C4—21no—
747C4—42no—
748C4—41no—
749C4—42no—
750C4—41no—
751C4—41no—
752C4—4881no—
753C4—2444no—
754C2—21no—
755C2—21no—
756C2—22no—
757C2—41no—
758C2—82no—
759C2—82no—
760C2—81no—
761C2—9761no—
762C2#2145512311yescharacteristic
763C2C2×#1683993011yescharacteristic
764C2#2145521611yescharacteristic
subgroupG/H
centerC22C2×#14519746
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#3537C2
socleC22×C61C2×#120
hypercenter#3537D61
hypocenterC61#18418
LCSG ▷ C22×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3537

Complements

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

NH ≅ G/Ntype
1. #21456616C2semidirect
2. #21456580C2semidirect
3. #21451923C2semidirect
4. #21444867C2semidirect
5. #21444839C2semidirect
6. #21444765C2semidirect
7. #21444737C2semidirect
8. #21444323C2semidirect
9. C2×#16839496C2semidirect
10. #21444179C2semidirect
11. C61×#3537C2semidirect
12. C2×#14519751C22semidirect
14. #16840095C22semidirect
17. #16840078C22semidirect
18. #16840078C22semidirect
22. #16839912C22semidirect
25. #16839895C22semidirect
26. #16839895C22semidirect
27. #16839726C22semidirect
28. C2×C22⋊#92418C22semidirect
29. #16839698C22semidirect
31. #16839671C22semidirect
33. C2×#14519684C22semidirect
34. #16839499C22semidirect
35. #16839496C22semidirect
36. #16839496C22semidirect
37. #16839496C22semidirect
38. #16839486C22semidirect
39. #16839486C22semidirect
90. C2×#41×C61D4semidirect
97. C22×D4×C61D4semidirect
110. C22⋊Q8×C61D4semidirect
126. #121×C61D4semidirect
127. #121×C61D4semidirect
144. #117×C61D4semidirect
146. C2×C4⋊C4×C61D4semidirect
372. #3537D61semidirect
437. C61#18418semidirect
438. C2×#41C22⋊D61semidirect
448. C22×D4C22⋊D61semidirect
467. C22⋊Q8C22⋊D61semidirect
488. #121C22⋊D61semidirect
489. #121C22⋊D61semidirect
506. #117C22⋊D61semidirect
510. C2×C4⋊C4C22⋊D61semidirect

Maximal subgroups

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

subgroupindex
#214566162
#214565802
#214519232
#214448672
#214448392
#214447652
#214447372
#214443232
C2×#168394962
#214441792
C61×#35372
#1841861