Finite Group Databasebeta

← #29718971

Subgroups — #29718971

Order 15616.

858 conjugacy classes of subgroups.

The subgroup lattice has 750 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21455767C211yesmaximal, characteristic, complemented
2C2×#16839926C211yesmaximal, characteristic
3#21454336C211yesmaximal, characteristic
4#21447185C211yesmaximal, characteristic, complemented
5#21447178C211yesmaximal, characteristic, complemented
6#21447087C211yesmaximal, characteristic, complemented
7#21447082C211yesmaximal, characteristic, complemented
8#21446734C211yesmaximal, characteristic, complemented
9#21446722C211yesmaximal, characteristic, complemented
10#21446481C211yesmaximal, characteristic, complemented
11#21446474C211yesmaximal, characteristic, complemented
12#21446285C211yesmaximal, characteristic, complemented
13#21446026C211yesmaximal, characteristic, complemented
14#21445745C211yesmaximal, characteristic
15C61×#2924C211yesmaximal, characteristic, complemented
16C22×#11758222C2211yescharacteristic
17C22×Dic244C2211yescharacteristic
18C22×#11758190C2211yescharacteristic
19C22×#11758194C2211yescharacteristic
20C2×#14519756C2211yescharacteristic
21#16840103—21no—
22#16840103—21no—
23#16840097—21no—
24#16840092—21no—
25#16839926—21no—
26#16839926—21no—
27#16839926—21no—
28#16839926—21no—
29C2×#14519713C2211yescharacteristic
30C2×#14519713C2211yescharacteristic
31#16839805C2211yescharacteristic
32#16839805C2211yescharacteristic
33#16839770C2211yescharacteristic
34#16839770C2211yescharacteristic
35#16839770C2211yescharacteristic
36#16839770C2211yescharacteristic
37#16839766C2211yescharacteristic
38#16839766C2211yescharacteristic
39#16839761—21no—
40#16839761—21no—
41#16839756—21no—
42#16839756—21no—
43C2×#14519702C2211yescharacteristic
44C2×#14519699C2211yescharacteristic
45C2×#14519695C2211yescharacteristic
46C2×#14519695C2211yescharacteristic
47C2×#14519695C2211yescharacteristic
48C2×#14519695C2211yescharacteristic
49C2×#14519693C2211yescharacteristic
50C2×#14519693C2211yescharacteristic
51#16839726C2211yescharacteristic
52#16839530C2211yescharacteristic
53#16839530C2211yescharacteristic
54#16839527C2211yescharacteristic
55#16839527C2211yescharacteristic
56C2×#117×C61C2211yescharacteristic
57C61×#433—21no—
58C61×#433—21no—
59C61×#432—21no—
60C61×#431—21no—
61C61×#424C2211yescharacteristic
62C61×#424C2211yescharacteristic
63C61×#407C2211yescharacteristic
64C2×C22⋊C8×C61C2211yescharacteristic
65C61×#405C2211yescharacteristic
66C61×#405C2211yescharacteristic
67C2×#11758222—21no—
68C2×#11758222—21no—
69C2×#11758222—21no—
70C2×#11758222—21no—
71C2×#11758222—22no—
72C2×#11758222—22no—
73C2×#11758222—41no—
74C2×#11758222—41no—
75C22×Dic122C2311yescharacteristic
76C22×Dic122C2311yescharacteristic
77C22×D244C2311yescharacteristic
78C22×C22⋊D61—21no—
79C22×C4×D61—21no—
80C2×Dic244—22no—
81C2×Dic244—21no—
82C2×Dic244—21no—
83C2×Dic244—41no—
84C2×#11758190—22no—
85C2×#11758190—21no—
86C2×#11758190—21no—
87C2×#11758190—41no—
88C2×#11758194—21no—
89C2×#11758194—41no—
90C2×#11758194—41no—
91C2×#11758194C2311yescharacteristic
92C2×#11758194C2311yescharacteristic
93C2×#11758194C2311yescharacteristic
94C2×#11758194C2311yescharacteristic
95C22×#92418—21no—
96#14519756—21no—
97#14519756—21no—
98#14519756—21no—
99#14519756—21no—
100C2×C4⋊Dic61C2311yescharacteristic
101C2×#11758196—21no—
102C2×C22⋊Dic61—21no—
103#14519713—41no—
104#14519713—41no—
105#14519710—21no—
106#14519710—21no—
107#14519708—21no—
108#14519708—21no—
109#14519702—21no—
110#14519702—21no—
111#14519700—21no—
112#14519700—21no—
113#14519700—21no—
114#14519700—21no—
115#14519700—21no—
116#14519700—21no—
117#14519700—21no—
118#14519700—21no—
119#14519699—21no—
120#14519699—21no—
121#14519697—21no—
122#14519697—21no—
123#14519697—21no—
124#14519697—21no—
125#14519695—22no—
126#14519695—41no—
127#14519695—41no—
128#14519695—41no—
129#14519693—22no—
130#14519693—41no—
131C22⋊#92418—21no—
132C22⋊#92418—21no—
133C23×C4×C61C2311yescharacteristic
134C2×M16×C61C2311yescharacteristic
135C2×M16×C61C2311yescharacteristic
136C22×C8×C61C2311yescharacteristic
137C22×C8×C61C2311yescharacteristic
138#117×C61—21no—
139#117×C61—21no—
140#117×C61D411yescharacteristic
141#117×C61D411yescharacteristic
142#117×C61C2311yescharacteristic
143#117×C61C2311yescharacteristic
144C2×C4⋊C4×C61D411yescharacteristic
145C2×C4⋊C4×C61D411yescharacteristic
146C2×C22⋊C4×C61—21no—
147C2×C42×C61—21no—
148C4⋊C8×C61—21no—
149C4⋊C8×C61—21no—
150C4⋊C8×C61—21no—
151C4⋊C8×C61—21no—
152C22⋊C8×C61—21no—
153C22⋊C8×C61—21no—
154C22⋊C8×C61D411yescharacteristic
155C22⋊C8×C61D411yescharacteristic
156C22⋊C8×C61D411yescharacteristic
157C22⋊C8×C61D411yescharacteristic
158#97×C61—21no—
159#97×C61—21no—
160C4×C8×C61—21no—
161C4×C8×C61—21no—
162C24×C61#4111yescharacteristic
163C23×D61—21no—
164C22×C4×C61—21no—
165C22×C4×C61—21no—
166C22×C4×C61—21no—
167C22×C4×C61—21no—
168C22×C4×C61—21no—
169C22×C4×C61—21no—
170C22×C4×C61C2×D411yescharacteristic
171C22×C4×C61C2×D411yescharacteristic
172C22×C4×C61C2×D411yescharacteristic
173C22×C4×C61C2×D411yescharacteristic
174C22×C4×C61#4111yescharacteristic
175C22×C4×C61C2411yescharacteristic
176C2×C22⋊D61—42no—
177C2×C22⋊D61—42no—
178C2×C22⋊D61—41no—
179C2×C22⋊D61—41no—
180C22×Dic61—21no—
181C22×Dic61—21no—
182C22×Dic61—21no—
183#11758222—24no—
184#11758222—24no—
185#11758222—42no—
186#11758222—42no—
187#11758222—42no—
188#11758222—42no—
189#11758222—42no—
190#11758222—42no—
191C2×D244—21no—
192C2×D244—21no—
193C2×D244—21no—
194C2×D244—21no—
195C2×D244—21no—
196C2×D244#4112yes—
197C2×C4×D61—42no—
198C2×C4×D61—42no—
199C2×C4×D61—41no—
200C2×C4×D61—41no—
201C2×Dic122—21no—
202C2×Dic122—21no—
203C2×Dic122—21no—
204C2×Dic122—21no—
205C2×Dic122—21no—
206C2×Dic122—21no—
207C2×Dic122—21no—
208C2×Dic122—21no—
209C2×Dic122—21no—
210C2×Dic122—21no—
211C2×Dic122—21no—
212C2×Dic122#4112yes—
213M16×C61—21no—
214M16×C61—21no—
215M16×C61—21no—
216M16×C61—21no—
217C2×C8×C61—21no—
218C2×C8×C61—21no—
219C2×C8×C61—21no—
220C2×C8×C61—21no—
221C2×C8×C61—21no—
222C2×C8×C61—21no—
223C2×C8×C61C2×D411yescharacteristic
224C2×C8×C61C2×D411yescharacteristic
225C2×C8×C61C2×D411yescharacteristic
226C2×C8×C61C2×D411yescharacteristic
227C4⋊C4×C61—21no—
228C4⋊C4×C61—21no—
229C4⋊C4×C61C2×D411yescharacteristic
230C4⋊C4×C61C2×D411yescharacteristic
231C4⋊C4×C61C2×D411yescharacteristic
232C4⋊C4×C61C2×D411yescharacteristic
233C22⋊C4×C61—21no—
234C22⋊C4×C61—21no—
235C22⋊C4×C61—21no—
236C22⋊C4×C61—21no—
237C42×C61—21no—
238C42×C61—21no—
239C42×C61—21no—
240C42×C61—21no—
241C22⋊Dic61—41no—
242C22⋊Dic61—41no—
243C4⋊Dic61—21no—
244C4⋊Dic61—21no—
245#11758196—41no—
246#11758196—41no—
247#11758194—21no—
248#11758194—21no—
249#11758194—21no—
250#11758194—21no—
251#11758194—21no—
252#11758194—21no—
253#11758194—21no—
254#11758194—21no—
255#11758194—42no—
256C2×#92418—21no—
257C2×#92418—21no—
258C2×#92418—21no—
259C2×#92418—21no—
260C2×#92418—42no—
261Dic244—42no—
262Dic244—42no—
263#11758190—42no—
264#11758190—42no—
265C23×C61—21no—
266C23×C61—21no—
267C23×C61—41no—
268C23×C61—41no—
269C23×C61#12111yescharacteristic
270C23×C61#12111yescharacteristic
271C23×C61C2×#4111yescharacteristic
272C22×D61—22no—
273C22×D61—41no—
274C22×D61—41no—
275C22×D61—81no—
276C22×D61—81no—
277C2×C4×C61—21no—
278C2×C4×C61—21no—
279C2×C4×C61—21no—
280C2×C4×C61—21no—
281C2×C4×C61—21no—
282C2×C4×C61—21no—
283C2×C4×C61—21no—
284C2×C4×C61—21no—
285C2×C4×C61—21no—
286C2×C4×C61—21no—
287C2×C4×C61—21no—
288C2×C4×C61—21no—
289C2×C4×C61—21no—
290C2×C4×C61—21no—
291C2×C4×C61—42no—
292C2×C4×C61—81no—
293C2×C4×C61#12111yescharacteristic
294C2×C4×C61#12111yescharacteristic
295C2×C4×C61C22×D411yescharacteristic
296C2×C4×C61C22×D411yescharacteristic
297C2×C4×C61C2×#4111yescharacteristic
298C2×C4×C61C2×#4111yescharacteristic
299C2×C4×C61H(5,𝔽2)11yescharacteristic
300C2×C4×C61H(5,𝔽2)11yescharacteristic
301C22⋊D61—44no—
302C22⋊D61—44no—
303C2×Dic61—22no—
304C2×Dic61—41no—
305C2×Dic61—41no—
306C2×Dic61—41no—
307C2×Dic61—41no—
308C2×Dic61—41no—
309C2×Dic61—41no—
310C2×Dic61—81no—
311D244—22no—
312D244—22no—
313D244—41no—
314D244—41no—
315C4×D61—44no—
316C4×D61—44no—
317Dic122—22no—
318Dic122—22no—
319Dic122—41no—
320Dic122—41no—
321Dic122—41no—
322Dic122—41no—
323Dic122—41no—
324Dic122—41no—
325C8×C61—21no—
326C8×C61—21no—
327C8×C61—21no—
328C8×C61—21no—
329C8×C61—41no—
330C8×C61—41no—
331#92418—41no—
332#92418—41no—
333#92418—41no—
334#92418—41no—
335#24525—611nomaximal, Sylow
336C22×C61—21no—
337C22×C61—21no—
338C22×C61—21no—
339C22×C61—21no—
340C22×C61—21no—
341C22×C61—21no—
342C22×C61—21no—
343C22×C61—21no—
344C22×C61—81no—
345C22×C61—81no—
346C22×C61C2×#12111yescharacteristic
347C22×C61#55111yescharacteristic
348C22×C61#55111yescharacteristic
349C2×D61—42no—
350C2×D61—82no—
351C2×D61—81no—
352C2×D61—81no—
353C2×D61—82no—
354C4×C61—21no—
355C4×C61—21no—
356C4×C61—41no—
357C4×C61—41no—
358C4×C61—41no—
359C4×C61—41no—
360C4×C61#52511yescharacteristic
361C4×C61#53511yescharacteristic
362C4×C61#54611yescharacteristic
363C4×C61#54611yescharacteristic
364Dic61—42no—
365Dic61—81no—
366Dic61—81no—
367#3095—611no—
368C2×#452—611no—
369#2924D6111yescharacteristic, complemented
370#2896—611no—
371#2064—611no—
372#2063—611no—
373#2047—611no—
374#2046—611no—
375#1979—611no—
376#1977—611no—
377#1931—611no—
378#1930—611no—
379#1901—611no—
380#1855—611no—
381#1785—611no—
382C2×C61—21no—
383C2×C61—21no—
384C2×C61—41no—
385C2×C61—41no—
386C2×C61#241111yescharacteristic
387C2×C61#306711yescharacteristic
388C2×C61#306911yescharacteristic
389D61—82no—
390C22×#41—611no—
391C22×Q16—611no—
392C22×SD16—611no—
393C22×M16—611no—
394C2×C22⋊Q8—611no—
395C2×#117C2×D6111yescharacteristic
396#485—1221no—
397#485—1221no—
398#484—1221no—
399#483—1221no—
400#452—1221no—
401#452—1221no—
402#452—1221no—
403#452—1221no—
404#433—21no—
405#433—21no—
406#432—21no—
407#431—21no—
408C2×#108—611no—
409C2×#108—611no—
410#428—611no—
411#428—611no—
412#424C2×D6111yescharacteristic
413#424C2×D6111yescharacteristic
414#419—611no—
415#419—611no—
416#419—611no—
417#419—611no—
418#418—611no—
419#418—611no—
420#417—1221no—
421#417—1221no—
422#416—1221no—
423#416—1221no—
424C2×#103—611no—
425C2×#102—611no—
426C2×#101—611no—
427C2×#101—611no—
428C2×#101—611no—
429C2×#101—611no—
430C2×#100—611no—
431C2×#100—611no—
432#407—611no—
433#407C2×D6111yescharacteristic
434C2×C22⋊C8C2×D6111yescharacteristic
435#405C2×D6111yescharacteristic
436#405C2×D6111yescharacteristic
437#343—611no—
438#343—611no—
439#341—611no—
440#341—611no—
441C61#2452511yescharacteristic, complemented, Sylow
442C2×#41—1222no—
443C2×#41—1222no—
444C2×#41—1221no—
445C2×#41—1221no—
446C2×#41—1221no—
447C2×#41—1221no—
448C2×#41—2441no—
449C2×#41—2441no—
450C22×Q8—611no—
451C22×Q8—611no—
452C22×D4—611no—
453C22×D4—1221no—
454C23×C4—1221no—
455C23×C4C22×D6111yescharacteristic
456C2×Q16—1222no—
457C2×Q16—1221no—
458C2×Q16—1221no—
459C2×Q16—2441no—
460C2×SD16—1222no—
461C2×SD16—1221no—
462C2×SD16—1221no—
463C2×SD16—2441no—
464C2×M16—611no—
465C2×M16—611no—
466C2×M16—611no—
467C2×M16—611no—
468C2×M16—1221no—
469C2×M16—2441no—
470C2×M16—2441no—
471C2×M16C22×D6111yescharacteristic
472C2×M16C22×D6111yescharacteristic
473C22×C8—1221no—
474C22×C8C22×D6111yescharacteristic
475C22×C8C22×D6111yescharacteristic
476C22⋊Q8—1221no—
477C22⋊Q8—1221no—
478C22⋊Q8—1221no—
479C22⋊Q8—1221no—
480#117—21no—
481#117—21no—
482#117D24411yescharacteristic
483#117D24411yescharacteristic
484#117C22×D6111yescharacteristic
485#117C22×D6111yescharacteristic
486C2×C4⋊C4—611no—
487C2×C4⋊C4—1221no—
488C2×C4⋊C4D24411yescharacteristic
489C2×C4⋊C4D24411yescharacteristic
490C2×C22⋊C4—21no—
491C2×C22⋊C4—1221no—
492C2×C42—21no—
493#108—2441no—
494#108—2441no—
495#107—1221no—
496#107—1221no—
497#106—1221no—
498#106—1221no—
499C4⋊C8—21no—
500C4⋊C8—21no—
501C4⋊C8—21no—
502C4⋊C8—21no—
503#103—1221no—
504#103—1221no—
505#103—1221no—
506#103—1221no—
507#103—1221no—
508#103—1221no—
509#103—1221no—
510#103—1221no—
511#103—1221no—
512#103—1221no—
513#102—1221no—
514#102—1221no—
515#102—1221no—
516#102—1221no—
517#102—1221no—
518#102—1221no—
519#101—1222no—
520#101—2441no—
521#101—2441no—
522#101—2441no—
523#100—1222no—
524#100—2441no—
525C22⋊C8—21no—
526C22⋊C8—21no—
527C22⋊C8—1221no—
528C22⋊C8—1221no—
529C22⋊C8C22⋊D6111yescharacteristic
530C22⋊C8C22⋊D6111yescharacteristic
531C22⋊C8C22⋊D6111yescharacteristic
532C22⋊C8C22⋊D6111yescharacteristic
533#97—21no—
534#97—21no—
535C4×C8—21no—
536C4×C8—21no—
537C24—1221no—
538C24#1175822211yescharacteristic
539#41—1224no—
540#41—1224no—
541#41—2442no—
542#41—2442no—
543#41—2442no—
544#41—2442no—
545#41—2442no—
546#41—2442no—
547C2×Q8—612no—
548C2×Q8—1221no—
549C2×Q8—1221no—
550C2×Q8—1221no—
551C2×Q8—1221no—
552C2×Q8—1221no—
553C2×Q8—1221no—
554C2×Q8—1221no—
555C2×Q8—1221no—
556C2×Q8—1221no—
557C2×Q8—1221no—
558C2×Q8—1221no—
559C2×D4—612no—
560C2×D4—1221no—
561C2×D4—1221no—
562C2×D4—1221no—
563C2×D4—1221no—
564C2×D4—1221no—
565C2×D4—2442no—
566C2×D4—2442no—
567C2×D4—2441no—
568C2×D4—2441no—
569C22×C4—21no—
570C22×C4—21no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—21no—
574C22×C4—21no—
575C22×C4—1221no—
576C22×C4—1221no—
577C22×C4—1221no—
578C22×C4—2442no—
579C22×C4—2442no—
580C22×C4—2441no—
581C22×C4—2441no—
582C22×C4C2×D24411yescharacteristic
583C22×C4C2×D24411yescharacteristic
584C22×C4#1175822211yescharacteristic
585C22×C4C2×C22⋊D6111yescharacteristic
586C22×C4C2×C22⋊D6111yescharacteristic
587C22×C4C23×D6111yescharacteristic
588Q16—2442no—
589Q16—2442no—
590SD16—2442no—
591SD16—2442no—
592M16—21no—
593M16—21no—
594M16—21no—
595M16—21no—
596M16—1221no—
597M16—1221no—
598M16—1221no—
599M16—1221no—
600M16—1221no—
601M16—1221no—
602M16—1221no—
603M16—1221no—
604M16—2442no—
605C2×C8—21no—
606C2×C8—21no—
607C2×C8—21no—
608C2×C8—21no—
609C2×C8—21no—
610C2×C8—21no—
611C2×C8—1221no—
612C2×C8—1221no—
613C2×C8—1221no—
614C2×C8—1221no—
615C2×C8—2442no—
616C2×C8C2×C22⋊D6111yescharacteristic
617C2×C8C2×C22⋊D6111yescharacteristic
618C2×C8C2×C22⋊D6111yescharacteristic
619C2×C8C2×C22⋊D6111yescharacteristic
620C4⋊C4—21no—
621C4⋊C4—21no—
622C4⋊C4—1221no—
623C4⋊C4—1221no—
624C4⋊C4—2441no—
625C4⋊C4—2441no—
626C4⋊C4C2×D24411yescharacteristic
627C4⋊C4C2×D24411yescharacteristic
628C4⋊C4C2×D24411yescharacteristic
629C4⋊C4C2×D24411yescharacteristic
630C22⋊C4—21no—
631C22⋊C4—21no—
632C22⋊C4—21no—
633C22⋊C4—21no—
634C22⋊C4—2441no—
635C22⋊C4—2441no—
636C42—21no—
637C42—21no—
638C42—21no—
639C42—21no—
640C23—21no—
641C23—21no—
642C23—41no—
643C23—41no—
644C23—1222no—
645C23—4881no—
646C23—4881no—
647C23—2441no—
648C23—2441no—
649C23#1451975111yescharacteristic
650C23#1451975111yescharacteristic
651C23C2×#1175822211yescharacteristic
652Q8—1222no—
653Q8—1222no—
654Q8—2441no—
655Q8—2441no—
656Q8—2441no—
657Q8—2441no—
658Q8—2441no—
659Q8—2441no—
660D4—1222no—
661D4—1222no—
662D4—2444no—
663D4—2444no—
664D4—2441no—
665D4—2441no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—42no—
681C2×C4—81no—
682C2×C4—1222no—
683C2×C4—4881no—
684C2×C4—2444no—
685C2×C4—2444no—
686C2×C4—2441no—
687C2×C4—2441no—
688C2×C4—2441no—
689C2×C4—2441no—
690C2×C4—2441no—
691C2×C4—2441no—
692C2×C4#1451975111yescharacteristic
693C2×C4#1451975111yescharacteristic
694C2×C4C22×C22⋊D6111yescharacteristic
695C2×C4C22×D24411yescharacteristic
696C2×C4#41×D6111yescharacteristic
697C2×C4#41×D6111yescharacteristic
698C2×C4#1451982311yescharacteristic
699C2×C4#1451982311yescharacteristic
700C8—21no—
701C8—21no—
702C8—21no—
703C8—21no—
704C8—41no—
705C8—41no—
706C8—2441no—
707C8—2441no—
708C8—2441no—
709C8—2441no—
710C22—21no—
711C22—21no—
712C22—21no—
713C22—21no—
714C22—21no—
715C22—21no—
716C22—21no—
717C22—21no—
718C22—81no—
719C22—81no—
720C22—4882no—
721C22—4882no—
722C22—4881no—
723C22—4881no—
724C22—2442no—
725C22C2×#1451975111yescharacteristic
726C22#1684043611yescharacteristic
727C22#1684043611yescharacteristic
728C4—21no—
729C4—21no—
730C4—41no—
731C4—41no—
732C4—41no—
733C4—41no—
734C4—4881no—
735C4—4881no—
736C4—2442no—
737C4#1684027411yescharacteristic
738C4#1684033111yescharacteristic
739C4#1684040011yescharacteristic
740C4#1684040011yescharacteristic
741C2—21no—
742C2—21no—
743C2—41no—
744C2—41no—
745C2—4882no—
746C2#2144919811yescharacteristic
747C2#2145553911yescharacteristic
748C2#2145555611yescharacteristic
subgroupG/H
centerC22C2×#14519751
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2924C2
socleC22×C61C2×#121
prime radicalC22×#11758222C22
hypercenter#2924D61
hypocenterC61#24525
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #2924

Complements

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

NH ≅ G/Ntype
1. #21455767C2semidirect
4. #21447185C2semidirect
5. #21447178C2semidirect
6. #21447087C2semidirect
7. #21447082C2semidirect
8. #21446734C2semidirect
9. #21446722C2semidirect
10. #21446481C2semidirect
11. #21446474C2semidirect
12. #21446285C2semidirect
13. #21446026C2semidirect
15. C61×#2924C2semidirect
369. #2924D61semidirect
441. C61#24525semidirect

Maximal subgroups

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

subgroupindex
#214557672
C2×#168399262
#214543362
#214471852
#214471782
#214470872
#214470822
#214467342
#214467222
#214464812
#214464742
#214462852
#214460262
#214457452
C61×#29242
#2452561