Finite Group Databasebeta

← #29655355

Subgroups — #29655355

Order 15616.

1096 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21456629C211yesmaximal, characteristic, complemented
2#21456567C211yesmaximal, characteristic, complemented
3#21453841C211yesmaximal, characteristic, complemented
4#21444833C212yesmaximal, complemented
5#21444805C212yesmaximal, complemented
6#21444765C212yesmaximal, complemented
7#21444737C212yesmaximal, complemented
8#21444375C211yesmaximal, characteristic, complemented
9#21444348C211yesmaximal, characteristic, complemented
10#21444179C211yesmaximal, characteristic, complemented
11C61×#3537C211yesmaximal, characteristic, complemented
12C2×#14519751C2211yescharacteristic, complemented
13#16840090C2211yescharacteristic, complemented
14#16840086—21no—
15#16840075—21no—
16#16840073C2212yescomplemented
17#16840073C2211yescharacteristic, complemented
18#16840013—21no—
19#16840010—21no—
20#16839996—22no—
21#16839912C2211yescharacteristic, complemented
22#16839907—21no—
23#16839896—21no—
24#16839895C2211yescharacteristic, complemented
25#16839895C2212yescomplemented
26#16839726C2211yescharacteristic, complemented
27C2×C22⋊#92418C2211yescharacteristic, complemented
28#16839688—21no—
29#16839687C2212yescomplemented
30#16839671C2212yescomplemented
31#16839670—22no—
32#16839670—21no—
33#16839625C2211yescharacteristic, 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—
58C2×#11758201—21no—
59C2×#11758199—22no—
60C2×#11758199—21no—
61C2×#11758194—21no—
62C22×#92418—21no—
63#14519751—21no—
64#14519751—21no—
65#14519751—21no—
66#14519751—21no—
67C2×C4⋊Dic61C2311yescharacteristic
68C2×C22⋊Dic61—22no—
69C2×C22⋊Dic61—21no—
70C2×#11758198—21no—
71C2×#11758198—22no—
72#14519710—22no—
73#14519710—21no—
74#14519708—21no—
75#14519701—21no—
76#14519698—22no—
77#14519698—21no—
78#14519697—22no—
79#14519697—21no—
80#14519697—21no—
81C22⋊#92418—21no—
82C22⋊#92418—21no—
83C22⋊#92418C2312yes—
84C22⋊#92418C2311yescharacteristic
85C22⋊#92418C2311yescharacteristic
86#14519684—22no—
87#14519684—21no—
88#14519684C2312yes—
89C2×#41×C61D411yescharacteristic, complemented
90C22×D4×C61—22no—
91C22×D4×C61—21no—
92C22×D4×C61—22no—
93C22×D4×C61—21no—
94C22×D4×C61D412yes—
95C22×D4×C61D411yescharacteristic
96C22×D4×C61D411yescharacteristic, complemented
97C23×C4×C61C2311yescharacteristic
98#127×C61—22no—
99#127×C61—21no—
100#126×C61—22no—
101#126×C61—22no—
102#125×C61—21no—
103#124×C61—22no—
104#123×C61—22no—
105#123×C61—21no—
106#123×C61—22no—
107#123×C61—22no—
108#123×C61—22no—
109C22⋊Q8×C61D411yescharacteristic, complemented
110C22⋊Q8×C61C2311yescharacteristic
111#121×C61—22no—
112#121×C61—21no—
113#121×C61—21no—
114#121×C61—22no—
115#121×C61—22no—
116#121×C61—22no—
117#121×C61—22no—
118#121×C61—21no—
119#121×C61—22no—
120#121×C61—21no—
121#121×C61—21no—
122#121×C61—21no—
123#121×C61—21no—
124#121×C61—21no—
125#121×C61D411yescharacteristic, complemented
126#121×C61D412yescomplemented
127#121×C61C2311yescharacteristic
128#121×C61C2312yes—
129#120×C61—22no—
130#120×C61—22no—
131#120×C61—22no—
132#120×C61—22no—
133#120×C61—21no—
134#120×C61—22no—
135#120×C61—22no—
136C4×D4×C61—22no—
137C4×D4×C61—21no—
138C4×D4×C61—21no—
139C4×D4×C61—22no—
140C4×D4×C61—21no—
141C4×D4×C61—21no—
142#117×C61—21no—
143#117×C61D411yescharacteristic, complemented
144C2×C4⋊C4×C61D411yescharacteristic
145C2×C4⋊C4×C61D411yescharacteristic, complemented
146C2×C22⋊C4×C61—21no—
147C2×C22⋊C4×C61C2312yes—
148C24×C61—22no—
149C24×C61—21no—
150C24×C61C2×D412yes—
151C24×C61C2×D411yescharacteristic
152C23×D61—21no—
153#41×C61—81no—
154C2×Q8×C61C2×D411yescharacteristic
155C2×D4×C61—22no—
156C2×D4×C61—21no—
157C2×D4×C61—22no—
158C2×D4×C61—21no—
159C2×D4×C61—22no—
160C2×D4×C61—22no—
161C2×D4×C61—22no—
162C2×D4×C61—22no—
163C2×D4×C61—22no—
164C2×D4×C61—21no—
165C2×D4×C61—22no—
166C2×D4×C61—22no—
167C2×D4×C61—21no—
168C2×D4×C61—21no—
169C2×D4×C61—21no—
170C2×D4×C61—81no—
171C2×D4×C61—82no—
172C2×D4×C61—81no—
173C2×D4×C61—82no—
174C2×D4×C61—82no—
175C2×D4×C61—82no—
176C2×D4×C61—82no—
177C2×D4×C61—84no—
178C2×D4×C61C2×D411yescharacteristic
179C2×D4×C61C2×D412yes—
180C22×C4×C61—22no—
181C22×C4×C61—22no—
182C22×C4×C61—21no—
183C22×C4×C61—21no—
184C22×C4×C61—81no—
185C22×C4×C61C2×D412yes—
186C22×C4×C61C2×D411yescharacteristic
187C22×C4×C61C2×D411yescharacteristic
188C22×C4×C61C2×D411yescharacteristic
189C22×C4×C61C2×D411yescharacteristic
190C22×C4×C61C2×D411yescharacteristic
191C22×C4×C61C2411yescharacteristic
192C2×C22⋊D61—41no—
193C2×C22⋊D61—41no—
194C2×C22⋊D61—82no—
195C2×C22⋊D61—82no—
196C2×C22⋊D61—82no—
197C2×C22⋊D61—82no—
198C22×Dic61—22no—
199C22×Dic61—21no—
200C2×D244—21no—
201C2×D244—21no—
202C2×D244—81no—
203C4⋊C4×C61—22no—
204C4⋊C4×C61—22no—
205C4⋊C4×C61—21no—
206C4⋊C4×C61—21no—
207C4⋊C4×C61—21no—
208C4⋊C4×C61—21no—
209C4⋊C4×C61—21no—
210C4⋊C4×C61C2×D412yes—
211C4⋊C4×C61C2×D411yescharacteristic
212C4⋊C4×C61C2×D411yescharacteristic
213C22⋊C4×C61—22no—
214C22⋊C4×C61—22no—
215C22⋊C4×C61—22no—
216C22⋊C4×C61—22no—
217C22⋊C4×C61—22no—
218C22⋊C4×C61—21no—
219C22⋊C4×C61—21no—
220C22⋊C4×C61—21no—
221C22⋊C4×C61—22no—
222C22⋊C4×C61—21no—
223C22⋊C4×C61—22no—
224C22⋊C4×C61—22no—
225C22⋊C4×C61—22no—
226C22⋊C4×C61—21no—
227C42×C61—22no—
228C42×C61—21no—
229C22⋊Dic61—82no—
230C22⋊Dic61—81no—
231#11758201—81no—
232#11758199—82no—
233#11758199—81no—
234#11758198—41no—
235#11758198—41no—
236#11758198—82no—
237C4⋊Dic61—21no—
238C4⋊Dic61—21no—
239#11758194—81no—
240C2×#92418—22no—
241C2×#92418—21no—
242C2×#92418—21no—
243C2×#92418—81no—
244C23×C61—22no—
245C23×C61—22no—
246C23×C61—22no—
247C23×C61—21no—
248C23×C61—22no—
249C23×C61—22no—
250C23×C61—41no—
251C23×C61—41no—
252C23×C61—42no—
253C23×C61—42no—
254C23×C61—42no—
255C23×C61—81no—
256C23×C61—81no—
257C23×C61—82no—
258C23×C61—82no—
259C23×C61—82no—
260C23×C61#12011yescharacteristic
261C23×C61#12011yescharacteristic
262C23×C61C22×D411yescharacteristic
263C22×D61—41no—
264C22×D61—42no—
265C22×D61—41no—
266C22×D61—41no—
267C22×D61—42no—
268Q8×C61—41no—
269D4×C61—42no—
270D4×C61—41no—
271D4×C61—42no—
272D4×C61—42no—
273D4×C61—44no—
274D4×C61—42no—
275D4×C61—42no—
276D4×C61—42no—
277D4×C61—42no—
278D4×C61—81no—
279D4×C61—82no—
280D4×C61—82no—
281D4×C61—81no—
282D4×C61—82no—
283D4×C61—82no—
284D4×C61—82no—
285D4×C61—82no—
286D4×C61—82no—
287C2×C4×C61—21no—
288C2×C4×C61—22no—
289C2×C4×C61—22no—
290C2×C4×C61—21no—
291C2×C4×C61—21no—
292C2×C4×C61—41no—
293C2×C4×C61—41no—
294C2×C4×C61—41no—
295C2×C4×C61—41no—
296C2×C4×C61—41no—
297C2×C4×C61—41no—
298C2×C4×C61—42no—
299C2×C4×C61—42no—
300C2×C4×C61—81no—
301C2×C4×C61—82no—
302C2×C4×C61—82no—
303C2×C4×C61#12011yescharacteristic
304C2×C4×C61#12011yescharacteristic
305C2×C4×C61C22×D411yescharacteristic
306C2×C4×C61C22×D411yescharacteristic
307C22⋊D61—82no—
308C22⋊D61—82no—
309C22⋊D61—88no—
310C2×Dic61—42no—
311C2×Dic61—42no—
312C2×Dic61—41no—
313C2×Dic61—42no—
314C2×Dic61—42no—
315D244—42no—
316D244—41no—
317D244—41no—
318#92418—42no—
319#92418—41no—
320#92418—41no—
321#18450—611nomaximal, Sylow
322C22×C61—21no—
323C22×C61—21no—
324C22×C61—21no—
325C22×C61—21no—
326C22×C61—21no—
327C22×C61—21no—
328C22×C61—21no—
329C22×C61—21no—
330C22×C61—42no—
331C22×C61—42no—
332C22×C61—41no—
333C22×C61—42no—
334C22×C61—42no—
335C22×C61—41no—
336C22×C61—41no—
337C22×C61—42no—
338C22×C61—42no—
339C22×C61—82no—
340C22×C61—82no—
341C22×C61—82no—
342C22×C61—162no—
343C22×C61—164no—
344C22×C61C2×#12011yescharacteristic
345C22×C61#57612yes—
346C2×D61—82no—
347C2×D61—82no—
348C2×D61—81no—
349C2×D61—81no—
350C2×D61—81no—
351C4×C61—21no—
352C4×C61—21no—
353C4×C61—21no—
354C4×C61—21no—
355C4×C61—42no—
356C4×C61—41no—
357C4×C61—42no—
358C4×C61—41no—
359C4×C61—41no—
360Dic61—82no—
361Dic61—81no—
362#3537D6111yescharacteristic, complemented
363#3194—611no—
364#3186—611no—
365#2815—611no—
366#1612—612no—
367#1607—612no—
368#1600—612no—
369#1595—612no—
370#1516—611no—
371#1510—611no—
372#1471—611no—
373C2×C61—22no—
374C2×C61—41no—
375C2×C61—41no—
376C2×C61—82no—
377C2×C61—82no—
378C2×C61—81no—
379C2×C61#300811yescharacteristic
380C2×C61#301911yescharacteristic
381C2×C61#302611yescharacteristic
382D61—161no—
383#560—22no—
384#553—21no—
385#553—21no—
386D42—22no—
387D42—21no—
388D42—21no—
389#540—21no—
390#538—21no—
391#538C2×D6112yes—
392#535—21no—
393#534—21no—
394#534C2×D6112yes—
395#525C2×D6111yescharacteristic
396C2×#121—611no—
397C2×#121C2×D6111yescharacteristic
398C2×#121C2×D6111yescharacteristic
399#483—611no—
400#482—1221no—
401#480—611no—
402#480—612no—
403#480—1221no—
404#469—1221no—
405#468—1221no—
406#466—1222no—
407#450—611no—
408#449—1221no—
409#447—611no—
410#447—612no—
411#447—1221no—
412#407—611no—
413C2×C22⋊C8—611no—
414#397—612no—
415#397—1221no—
416#392—612no—
417#392—1221no—
418#392—1222no—
419#381—611no—
420#328—612no—
421#327—612no—
422#327—612no—
423#327—612no—
424#323—612no—
425#323—612no—
426C61#1845011yescharacteristic, complemented, Sylow
427C2×#41C22⋊D6111yescharacteristic, complemented
428C22×D4—22no—
429C22×D4—21no—
430C22×D4—21no—
431C22×D4—22no—
432C22×D4—611no—
433C22×D4—1222no—
434C22×D4—1221no—
435C22×D4C22⋊D6112yes—
436C22×D4C22⋊D6111yescharacteristic
437C22×D4C22⋊D6111yescharacteristic, complemented
438C23×C4C22×D6111yescharacteristic
439C2×SD16—1221no—
440C2×D8—1222no—
441C2×D8—1221no—
442C2×M16—1221no—
443C22×C8—1221no—
444#127—22no—
445#127—21no—
446#126—22no—
447#126—22no—
448#125—21no—
449#124—22no—
450#123—22no—
451#123—21no—
452#123—22no—
453#123—22no—
454#123—22no—
455C22⋊Q8C22⋊D6111yescharacteristic, complemented
456C22⋊Q8C22×D6111yescharacteristic
457#121—22no—
458#121—21no—
459#121—21no—
460#121—22no—
461#121—22no—
462#121—22no—
463#121—22no—
464#121—21no—
465#121—21no—
466#121—21no—
467#121—21no—
468#121—21no—
469#121—21no—
470#121—22no—
471#121—1221no—
472#121—1221no—
473#121—1221no—
474#121—1221no—
475#121C22⋊D6112yescomplemented
476#121C22⋊D6111yescharacteristic, complemented
477#121C22×D6112yes—
478#121C22×D6111yescharacteristic
479#120—22no—
480#120—22no—
481#120—22no—
482#120—21no—
483#120—22no—
484#120—22no—
485#120—22no—
486C4×D4—22no—
487C4×D4—21no—
488C4×D4—21no—
489C4×D4—21no—
490C4×D4—21no—
491C4×D4—22no—
492#117—21no—
493#117C22⋊D6111yescharacteristic, complemented
494C2×C4⋊C4—611no—
495C2×C4⋊C4C22⋊D6111yescharacteristic
496C2×C4⋊C4C22⋊D6111yescharacteristic, complemented
497C2×C22⋊C4—21no—
498C2×C22⋊C4—1221no—
499C2×C22⋊C4—1222no—
500C2×C22⋊C4—1222no—
501C2×C22⋊C4—1221no—
502C2×C22⋊C4C22×D6112yes—
503#107—1222no—
504#107—1221no—
505#106—1221no—
506#103—1221no—
507#102—1222no—
508#102—1221no—
509#102—1222no—
510#102—1221no—
511#102—1221no—
512C22⋊C8—611no—
513C22⋊C8—611no—
514C22⋊C8—612no—
515C22⋊C8—1221no—
516C22⋊C8—1221no—
517#95—612no—
518#95—1221no—
519#95—1222no—
520C24—22no—
521C24—21no—
522C24—1221no—
523C24C2×C22⋊D6112yes—
524C24C2×C22⋊D6111yescharacteristic
525#41—81no—
526C2×Q8C2×C22⋊D6111yescharacteristic
527C2×D4—21no—
528C2×D4—22no—
529C2×D4—22no—
530C2×D4—21no—
531C2×D4—22no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—22no—
535C2×D4—22no—
536C2×D4—21no—
537C2×D4—22no—
538C2×D4—22no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—81no—
543C2×D4—82no—
544C2×D4—81no—
545C2×D4—82no—
546C2×D4—82no—
547C2×D4—82no—
548C2×D4—82no—
549C2×D4—84no—
550C2×D4—1221no—
551C2×D4—1221no—
552C2×D4—4881no—
553C2×D4—4882no—
554C2×D4—4882no—
555C2×D4—4882no—
556C2×D4—4882no—
557C2×D4—2441no—
558C2×D4—2441no—
559C2×D4C2×C22⋊D6111yescharacteristic
560C2×D4C2×C22⋊D6112yes—
561C22×C4—22no—
562C22×C4—22no—
563C22×C4—21no—
564C22×C4—21no—
565C22×C4—81no—
566C22×C4—1222no—
567C22×C4—1221no—
568C22×C4C2×C22⋊D6112yes—
569C22×C4C2×C22⋊D6111yescharacteristic
570C22×C4C2×C22⋊D6111yescharacteristic
571C22×C4C2×C22⋊D6111yescharacteristic
572C22×C4C2×C22⋊D6111yescharacteristic
573C22×C4C2×C22⋊D6111yescharacteristic
574C22×C4C23×D6111yescharacteristic
575SD16—4881no—
576D8—4882no—
577D8—4881no—
578M16—4881no—
579C2×C8—1222no—
580C2×C8—1221no—
581C2×C8—1221no—
582C2×C8—4881no—
583C4⋊C4—22no—
584C4⋊C4—22no—
585C4⋊C4—21no—
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—1221no—
591C4⋊C4—1221no—
592C4⋊C4C2×C22⋊D6111yescharacteristic
593C4⋊C4C2×C22⋊D6112yes—
594C4⋊C4C2×C22⋊D6111yescharacteristic
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—22no—
599C22⋊C4—22no—
600C22⋊C4—21no—
601C22⋊C4—21no—
602C22⋊C4—21no—
603C22⋊C4—22no—
604C22⋊C4—22no—
605C22⋊C4—22no—
606C22⋊C4—21no—
607C22⋊C4—22no—
608C22⋊C4—21no—
609C22⋊C4—4882no—
610C22⋊C4—4882no—
611C22⋊C4—4881no—
612C22⋊C4—2441no—
613C22⋊C4—2441no—
614C42—22no—
615C42—21no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—21no—
620C23—22no—
621C23—22no—
622C23—41no—
623C23—41no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—81no—
628C23—81no—
629C23—82no—
630C23—82no—
631C23—82no—
632C23—2441no—
633C23—2441no—
634C23—2442no—
635C23—2441no—
636C23—2442no—
637C23#1451974611yescharacteristic
638C23#1451974611yescharacteristic
639C23C22×C22⋊D6111yescharacteristic
640Q8—41no—
641D4—42no—
642D4—41no—
643D4—42no—
644D4—42no—
645D4—44no—
646D4—42no—
647D4—42no—
648D4—42no—
649D4—42no—
650D4—81no—
651D4—82no—
652D4—82no—
653D4—81no—
654D4—82no—
655D4—82no—
656D4—82no—
657D4—82no—
658D4—82no—
659D4—4882no—
660D4—4882no—
661D4—4888no—
662D4—2442no—
663D4—2441no—
664D4—2441no—
665C2×C4—21no—
666C2×C4—22no—
667C2×C4—21no—
668C2×C4—22no—
669C2×C4—21no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—81no—
679C2×C4—82no—
680C2×C4—82no—
681C2×C4—2442no—
682C2×C4—2442no—
683C2×C4—2441no—
684C2×C4—2442no—
685C2×C4—2442no—
686C2×C4#1451974611yescharacteristic
687C2×C4#1451974611yescharacteristic
688C2×C4C22×C22⋊D6111yescharacteristic
689C2×C4C22×C22⋊D6111yescharacteristic
690C8—2442no—
691C8—2441no—
692C8—2441no—
693C22—21no—
694C22—21no—
695C22—21no—
696C22—21no—
697C22—21no—
698C22—21no—
699C22—21no—
700C22—21no—
701C22—42no—
702C22—42no—
703C22—41no—
704C22—41no—
705C22—42no—
706C22—42no—
707C22—42no—
708C22—42no—
709C22—41no—
710C22—82no—
711C22—82no—
712C22—82no—
713C22—162no—
714C22—164no—
715C22—4882no—
716C22—4882no—
717C22—4881no—
718C22—4881no—
719C22—4881no—
720C22C2×#1451974611yescharacteristic
721C22#1684056512yes—
722C4—21no—
723C4—21no—
724C4—21no—
725C4—21no—
726C4—42no—
727C4—41no—
728C4—41no—
729C4—42no—
730C4—41no—
731C4—4882no—
732C4—4881no—
733C2—22no—
734C2—41no—
735C2—41no—
736C2—82no—
737C2—82no—
738C2—81no—
739C2—9761no—
740C2#2145508711yescharacteristic
741C2#2145517611yescharacteristic
742C2#2145521611yescharacteristic
subgroupG/H
centerC22C2×#14519746
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#3537C2
socleC22×C61C2×#120
hypercenter#3537D61
hypocenterC61#18450
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. #21456629C2semidirect
2. #21456567C2semidirect
3. #21453841C2semidirect
4. #21444833C2semidirect
5. #21444805C2semidirect
6. #21444765C2semidirect
7. #21444737C2semidirect
8. #21444375C2semidirect
9. #21444348C2semidirect
10. #21444179C2semidirect
11. C61×#3537C2semidirect
12. C2×#14519751C22semidirect
13. #16840090C22semidirect
16. #16840073C22semidirect
17. #16840073C22semidirect
21. #16839912C22semidirect
24. #16839895C22semidirect
25. #16839895C22semidirect
26. #16839726C22semidirect
27. C2×C22⋊#92418C22semidirect
29. #16839687C22semidirect
30. #16839671C22semidirect
33. #16839625C22semidirect
34. #16839499C22semidirect
35. #16839496C22semidirect
36. #16839496C22semidirect
37. #16839496C22semidirect
38. #16839486C22semidirect
39. #16839486C22semidirect
89. C2×#41×C61D4semidirect
96. C22×D4×C61D4semidirect
109. C22⋊Q8×C61D4semidirect
125. #121×C61D4semidirect
126. #121×C61D4semidirect
143. #117×C61D4semidirect
145. C2×C4⋊C4×C61D4semidirect
362. #3537D61semidirect
426. C61#18450semidirect
427. C2×#41C22⋊D61semidirect
437. C22×D4C22⋊D61semidirect
455. C22⋊Q8C22⋊D61semidirect
475. #121C22⋊D61semidirect
476. #121C22⋊D61semidirect
493. #117C22⋊D61semidirect
496. C2×C4⋊C4C22⋊D61semidirect

Maximal subgroups

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

subgroupindex
#214566292
#214565672
#214538412
#214448332
#214448052
#214447652
#214447372
#214443752
#214443482
#214441792
C61×#35372
#1845061