Finite Group Databasebeta

← #29718958

Subgroups — #29718958

Order 15616.

884 conjugacy classes of subgroups.

The subgroup lattice has 770 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21455755C211yesmaximal, characteristic, complemented
2#21454473C211yesmaximal, characteristic, complemented
3#21454338C211yesmaximal, characteristic, complemented
4#21447184C211yesmaximal, characteristic, complemented
5#21447177C211yesmaximal, characteristic, complemented
6#21447077C211yesmaximal, characteristic, complemented
7#21447072C211yesmaximal, characteristic, complemented
8#21446730C211yesmaximal, characteristic, complemented
9#21446724C211yesmaximal, characteristic, complemented
10#21446478C211yesmaximal, characteristic, complemented
11#21446471C211yesmaximal, characteristic, complemented
12#21446283C211yesmaximal, characteristic, complemented
13#21446026C211yesmaximal, characteristic, complemented
14#21445747C211yesmaximal, characteristic, complemented
15C2×C61×#449C211yesmaximal, characteristic
16C22×#11758194C2211yescharacteristic
17C2×#14519736C2211yescharacteristic
18#16840083—21no—
19#16840083—21no—
20#16840078—21no—
21#16840073—21no—
22#16839820—21no—
23#16839820—21no—
24#16839816—21no—
25#16839812—21no—
26C2×#14519713C2211yescharacteristic
27C2×#14519713C2211yescharacteristic
28#16839802C2211yescharacteristic
29#16839802C2211yescharacteristic
30#16839788C2211yescharacteristic
31#16839788C2211yescharacteristic
32#16839771C2211yescharacteristic
33#16839771C2211yescharacteristic
34#16839767C2211yescharacteristic
35#16839767C2211yescharacteristic
36#16839767C2211yescharacteristic
37#16839767C2211yescharacteristic
38#16839763—21no—
39#16839763—21no—
40#16839758—21no—
41#16839758—21no—
42C2×#14519696C2211yescharacteristic
43C2×#14519696C2211yescharacteristic
44C2×#14519694C2211yescharacteristic
45C2×#14519694C2211yescharacteristic
46C2×#14519694C2211yescharacteristic
47C2×#14519694C2211yescharacteristic
48#16839726C2211yescharacteristic
49#16839726C2211yescharacteristic
50#16839717C2211yescharacteristic
51#16839717C2211yescharacteristic
52#16839531C2211yescharacteristic
53#16839531C2211yescharacteristic
54#16839527C2211yescharacteristic
55#16839527C2211yescharacteristic
56C22×#41×C61C2211yescharacteristic
57C22×SD16×C61C2211yescharacteristic
58C22×D8×C61C2211yescharacteristic
59C2×#121×C61C2211yescharacteristic
60C61×#449—21no—
61C61×#449—21no—
62C61×#449—21no—
63C61×#449—21no—
64C2×#103×C61C2211yescharacteristic
65C2×#102×C61C2211yescharacteristic
66C2×C22⋊C8×C61C2211yescharacteristic
67C2×#11758194—21no—
68C2×#11758194—41no—
69C2×#11758194—41no—
70C2×#11758194C2311yescharacteristic
71C2×#11758194C2311yescharacteristic
72C2×#11758194C2311yescharacteristic
73C2×#11758194C2311yescharacteristic
74C2×#11758194C2311yescharacteristic
75C2×#11758194C2311yescharacteristic
76C22×#92418—21no—
77#14519736—21no—
78#14519736—21no—
79#14519736D411yescharacteristic
80#14519736D411yescharacteristic
81#14519736C2311yescharacteristic
82#14519736C2311yescharacteristic
83C2×C4⋊Dic61D411yescharacteristic
84C2×C4⋊Dic61D411yescharacteristic
85C2×C22⋊Dic61—21no—
86C2×C4×Dic61—21no—
87#14519713—41no—
88#14519713—41no—
89#14519710—21no—
90#14519710—21no—
91#14519708—21no—
92#14519708—21no—
93#14519706—21no—
94#14519706—21no—
95#14519706—21no—
96#14519706—21no—
97#14519701—21no—
98#14519701—21no—
99#14519701—21no—
100#14519701—21no—
101#14519698—21no—
102#14519698—21no—
103#14519698—21no—
104#14519698—21no—
105#14519698—21no—
106#14519698—21no—
107#14519698—21no—
108#14519698—21no—
109#14519696—22no—
110#14519696—41no—
111#14519694—22no—
112#14519694—41no—
113#14519694—41no—
114#14519694—41no—
115C22⋊#92418—21no—
116C22⋊#92418—21no—
117C22⋊#92418—21no—
118C22⋊#92418—21no—
119#14519687—21no—
120#14519687—21no—
121C8×Dic61—21no—
122C8×Dic61—21no—
123C2×#41×C61—22no—
124C2×#41×C61—22no—
125C2×#41×C61—21no—
126C2×#41×C61—21no—
127C2×#41×C61—21no—
128C2×#41×C61—21no—
129C2×#41×C61—41no—
130C2×#41×C61—41no—
131C22×Q8×C61C2311yescharacteristic
132C22×D4×C61—21no—
133C22×D4×C61—21no—
134C22×D4×C61C2311yescharacteristic
135C22×D4×C61C2311yescharacteristic
136C23×C4×C61—21no—
137C23×C4×C61C2311yescharacteristic
138C2×SD16×C61—22no—
139C2×SD16×C61—21no—
140C2×SD16×C61—21no—
141C2×SD16×C61—41no—
142C2×D8×C61—22no—
143C2×D8×C61—21no—
144C2×D8×C61—21no—
145C2×D8×C61—41no—
146C22×C8×C61C2311yescharacteristic
147C22×C8×C61C2311yescharacteristic
148#121×C61—21no—
149#121×C61—21no—
150#121×C61—21no—
151#121×C61—21no—
152C2×C4⋊C4×C61C2311yescharacteristic
153C2×C22⋊C4×C61—21no—
154#103×C61—21no—
155#103×C61—21no—
156#102×C61—21no—
157#102×C61—21no—
158C22⋊C8×C61D411yescharacteristic
159C22⋊C8×C61D411yescharacteristic
160C22⋊C8×C61D411yescharacteristic
161C22⋊C8×C61D411yescharacteristic
162C24×C61—21no—
163C24×C61—21no—
164C24×C61#4111yescharacteristic
165#41×C61—24no—
166#41×C61—24no—
167#41×C61—42no—
168#41×C61—42no—
169#41×C61—42no—
170#41×C61—42no—
171#41×C61—42no—
172#41×C61—42no—
173C2×Q8×C61—21no—
174C2×Q8×C61—21no—
175C2×Q8×C61—21no—
176C2×Q8×C61—21no—
177C2×Q8×C61—21no—
178C2×Q8×C61#4112yes—
179C2×D4×C61—21no—
180C2×D4×C61—21no—
181C2×D4×C61—21no—
182C2×D4×C61—21no—
183C2×D4×C61—21no—
184C2×D4×C61—21no—
185C2×D4×C61—21no—
186C2×D4×C61—21no—
187C2×D4×C61—21no—
188C2×D4×C61—21no—
189C2×D4×C61—21no—
190C2×D4×C61—42no—
191C2×D4×C61—42no—
192C2×D4×C61—41no—
193C2×D4×C61—41no—
194C2×D4×C61—41no—
195C2×D4×C61—41no—
196C2×D4×C61—82no—
197C2×D4×C61#4112yes—
198C22×C4×C61—21no—
199C22×C4×C61—21no—
200C22×C4×C61—21no—
201C22×C4×C61—21no—
202C22×C4×C61—21no—
203C22×C4×C61—21no—
204C22×C4×C61—42no—
205C22×C4×C61—42no—
206C22×C4×C61—41no—
207C22×C4×C61—41no—
208C22×C4×C61C2×D411yescharacteristic
209C22×C4×C61C2×D411yescharacteristic
210C22×C4×C61C2×D411yescharacteristic
211C22×C4×C61C2×D411yescharacteristic
212C22×C4×C61#4111yescharacteristic
213C22×C4×C61C2411yescharacteristic
214C22×Dic61—21no—
215C22×Dic61—21no—
216SD16×C61—42no—
217SD16×C61—42no—
218D8×C61—42no—
219D8×C61—42no—
220C2×C8×C61—21no—
221C2×C8×C61—21no—
222C2×C8×C61—21no—
223C2×C8×C61—21no—
224C2×C8×C61C2×D411yescharacteristic
225C2×C8×C61C2×D411yescharacteristic
226C2×C8×C61C2×D411yescharacteristic
227C2×C8×C61C2×D411yescharacteristic
228C4⋊C4×C61—21no—
229C4⋊C4×C61—21no—
230C22⋊C4×C61—41no—
231C22⋊C4×C61—41no—
232C22⋊Dic61—21no—
233C22⋊Dic61—21no—
234C22⋊Dic61—21no—
235C22⋊Dic61—21no—
236C4⋊Dic61—21no—
237C4⋊Dic61—21no—
238C4⋊Dic61C2×D411yescharacteristic
239C4⋊Dic61C2×D411yescharacteristic
240C4⋊Dic61C2×D411yescharacteristic
241C4⋊Dic61C2×D411yescharacteristic
242C4×Dic61—21no—
243C4×Dic61—21no—
244C4×Dic61—21no—
245C4×Dic61—21no—
246#11758194—21no—
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—21no—
256#11758194—21no—
257#11758194—21no—
258#11758194—42no—
259C2×#92418—21no—
260C2×#92418—21no—
261C2×#92418—21no—
262C2×#92418—21no—
263C2×#92418—21no—
264C2×#92418—21no—
265C2×#92418—42no—
266C23×C61—21no—
267C23×C61—21no—
268C23×C61—22no—
269C23×C61—41no—
270C23×C61—41no—
271C23×C61—41no—
272C23×C61—41no—
273C23×C61—41no—
274C23×C61—41no—
275C23×C61—41no—
276C23×C61—81no—
277C23×C61—81no—
278C23×C61—81no—
279C23×C61—81no—
280C23×C61#12111yescharacteristic
281C23×C61#12111yescharacteristic
282C23×C61C2×#4111yescharacteristic
283Q8×C61—22no—
284Q8×C61—22no—
285Q8×C61—41no—
286Q8×C61—41no—
287D4×C61—22no—
288D4×C61—22no—
289D4×C61—44no—
290D4×C61—44no—
291D4×C61—41no—
292D4×C61—41no—
293D4×C61—41no—
294D4×C61—41no—
295D4×C61—41no—
296D4×C61—41no—
297D4×C61—82no—
298D4×C61—82no—
299C2×C4×C61—21no—
300C2×C4×C61—21no—
301C2×C4×C61—21no—
302C2×C4×C61—21no—
303C2×C4×C61—21no—
304C2×C4×C61—21no—
305C2×C4×C61—21no—
306C2×C4×C61—21no—
307C2×C4×C61—21no—
308C2×C4×C61—21no—
309C2×C4×C61—22no—
310C2×C4×C61—44no—
311C2×C4×C61—44no—
312C2×C4×C61—41no—
313C2×C4×C61—41no—
314C2×C4×C61—41no—
315C2×C4×C61—81no—
316C2×C4×C61#12111yescharacteristic
317C2×C4×C61#12111yescharacteristic
318C2×C4×C61C22×D411yescharacteristic
319C2×C4×C61C22×D411yescharacteristic
320C2×C4×C61C2×#4111yescharacteristic
321C2×C4×C61C2×#4111yescharacteristic
322C2×C4×C61H(5,𝔽2)11yescharacteristic
323C2×C4×C61H(5,𝔽2)11yescharacteristic
324C2×Dic61—21no—
325C2×Dic61—21no—
326C2×Dic61—21no—
327C2×Dic61—21no—
328C2×Dic61—42no—
329C2×Dic61—81no—
330C8×C61—21no—
331C8×C61—21no—
332C8×C61—21no—
333C8×C61—21no—
334#92418—41no—
335#92418—41no—
336#92418—41no—
337#92418—41no—
338#92418—41no—
339#92418—41no—
340#24524—611nomaximal, Sylow
341C22×C61—21no—
342C22×C61—21no—
343C22×C61—21no—
344C22×C61—21no—
345C22×C61—21no—
346C22×C61—21no—
347C22×C61—21no—
348C22×C61—21no—
349C22×C61—42no—
350C22×C61—81no—
351C22×C61—81no—
352C22×C61—82no—
353C22×C61—82no—
354C22×C61—81no—
355C22×C61—81no—
356C22×C61—81no—
357C22×C61—81no—
358C22×C61—81no—
359C22×C61—161no—
360C22×C61—161no—
361C22×C61C2×#12111yescharacteristic
362C22×C61#55111yescharacteristic
363C22×C61#55111yescharacteristic
364C4×C61—21no—
365C4×C61—21no—
366C4×C61—42no—
367C4×C61—81no—
368C4×C61#52511yescharacteristic
369C4×C61#53511yescharacteristic
370C4×C61#54611yescharacteristic
371C4×C61#54611yescharacteristic
372Dic61—41no—
373Dic61—41no—
374Dic61—41no—
375Dic61—41no—
376#3094—611no—
377C2×#449D6111yescharacteristic
378#2924—611no—
379#2896—611no—
380#2064—611no—
381#2063—611no—
382#2046—611no—
383#2045—611no—
384#1978—611no—
385#1977—611no—
386#1931—611no—
387#1930—611no—
388#1900—611no—
389#1855—611no—
390#1785—611no—
391C2×C61—21no—
392C2×C61—21no—
393C2×C61—41no—
394C2×C61—41no—
395C2×C61—82no—
396C2×C61—161no—
397C2×C61#241111yescharacteristic
398C2×C61#306711yescharacteristic
399C2×C61#306811yescharacteristic
400C22×#41C2×D6111yescharacteristic
401C22×SD16C2×D6111yescharacteristic
402C22×D8C2×D6111yescharacteristic
403C22×M16—611no—
404C2×#121C2×D6111yescharacteristic
405C2×#117—611no—
406#482—1221no—
407#482—1221no—
408#481—1221no—
409#480—1221no—
410#449—21no—
411#449—21no—
412#449—21no—
413#449—21no—
414#433—1221no—
415#433—1221no—
416#432—1221no—
417#431—1221no—
418C2×#108—611no—
419C2×#108—611no—
420#428—611no—
421#428—611no—
422#424—611no—
423#424—611no—
424#419—611no—
425#419—611no—
426#418—611no—
427#418—611no—
428#418—611no—
429#418—611no—
430#417—1221no—
431#417—1221no—
432#416—1221no—
433#416—1221no—
434C2×#103C2×D6111yescharacteristic
435C2×#102C2×D6111yescharacteristic
436C2×#101—611no—
437C2×#101—611no—
438C2×#100—611no—
439C2×#100—611no—
440C2×#100—611no—
441C2×#100—611no—
442#407—611no—
443#407—611no—
444C2×C22⋊C8C2×D6111yescharacteristic
445#405—611no—
446#405—611no—
447#343—611no—
448#343—611no—
449#341—611no—
450#341—611no—
451C61#2452411yescharacteristic, complemented, Sylow
452C2×#41—22no—
453C2×#41—22no—
454C2×#41—21no—
455C2×#41—21no—
456C2×#41—21no—
457C2×#41—21no—
458C2×#41—41no—
459C2×#41—41no—
460C22×Q8C22×D6111yescharacteristic
461C22×D4—21no—
462C22×D4—21no—
463C22×D4C22×D6111yescharacteristic
464C22×D4C22×D6111yescharacteristic
465C23×C4—21no—
466C23×C4C22×D6111yescharacteristic
467C2×SD16—22no—
468C2×SD16—21no—
469C2×SD16—21no—
470C2×SD16—41no—
471C2×D8—22no—
472C2×D8—21no—
473C2×D8—21no—
474C2×D8—41no—
475C2×M16—611no—
476C2×M16—611no—
477C2×M16—611no—
478C2×M16—611no—
479C2×M16—611no—
480C2×M16—611no—
481C2×M16—1221no—
482C2×M16—2441no—
483C2×M16—2441no—
484C22×C8—1221no—
485C22×C8C22×D6111yescharacteristic
486C22×C8C22×D6111yescharacteristic
487#121—21no—
488#121—21no—
489#121—21no—
490#121—21no—
491#117—611no—
492#117—611no—
493#117—611no—
494#117—611no—
495#117—1221no—
496#117—1221no—
497C2×C4⋊C4—611no—
498C2×C4⋊C4—611no—
499C2×C4⋊C4C22×D6111yescharacteristic
500C2×C22⋊C4—21no—
501C2×C22⋊C4—1221no—
502C2×C42—1221no—
503#108—2441no—
504#108—2441no—
505#107—1221no—
506#107—1221no—
507#106—1221no—
508#106—1221no—
509C4⋊C8—1221no—
510C4⋊C8—1221no—
511C4⋊C8—1221no—
512C4⋊C8—1221no—
513#103—21no—
514#103—21no—
515#103—1221no—
516#103—1221no—
517#103—1221no—
518#103—1221no—
519#102—21no—
520#102—21no—
521#102—1221no—
522#102—1221no—
523#102—1221no—
524#102—1221no—
525#102—1221no—
526#102—1221no—
527#102—1221no—
528#102—1221no—
529#101—1222no—
530#101—2441no—
531#100—1222no—
532#100—2441no—
533#100—2441no—
534#100—2441no—
535C22⋊C8—1221no—
536C22⋊C8—1221no—
537C22⋊C8—1221no—
538C22⋊C8—1221no—
539C22⋊C8C22⋊D6111yescharacteristic
540C22⋊C8C22⋊D6111yescharacteristic
541C22⋊C8C22⋊D6111yescharacteristic
542C22⋊C8C22⋊D6111yescharacteristic
543#97—1221no—
544#97—1221no—
545C4×C8—1221no—
546C4×C8—1221no—
547C24—21no—
548C24—21no—
549C24#1175822411yescharacteristic
550#41—24no—
551#41—24no—
552#41—42no—
553#41—42no—
554#41—42no—
555#41—42no—
556#41—42no—
557#41—42no—
558C2×Q8—21no—
559C2×Q8—21no—
560C2×Q8—21no—
561C2×Q8—21no—
562C2×Q8—21no—
563C2×Q8#1175822412yes—
564C2×D4—21no—
565C2×D4—21no—
566C2×D4—21no—
567C2×D4—21no—
568C2×D4—21no—
569C2×D4—21no—
570C2×D4—21no—
571C2×D4—21no—
572C2×D4—21no—
573C2×D4—21no—
574C2×D4—21no—
575C2×D4—42no—
576C2×D4—42no—
577C2×D4—41no—
578C2×D4—41no—
579C2×D4—41no—
580C2×D4—41no—
581C2×D4—82no—
582C2×D4#1175822412yes—
583C22×C4—21no—
584C22×C4—21no—
585C22×C4—21no—
586C22×C4—21no—
587C22×C4—21no—
588C22×C4—21no—
589C22×C4—42no—
590C22×C4—42no—
591C22×C4—41no—
592C22×C4—41no—
593C22×C4—1221no—
594C22×C4—1221no—
595C22×C4D4×D6111yescharacteristic
596C22×C4D4×D6111yescharacteristic
597C22×C4#1175822411yescharacteristic
598C22×C4C2×C22⋊D6111yescharacteristic
599C22×C4C2×C22⋊D6111yescharacteristic
600C22×C4C23×D6111yescharacteristic
601SD16—42no—
602SD16—42no—
603D8—42no—
604D8—42no—
605M16—1221no—
606M16—1221no—
607M16—1221no—
608M16—1221no—
609M16—1221no—
610M16—1221no—
611M16—1221no—
612M16—1221no—
613M16—1221no—
614M16—1221no—
615M16—1221no—
616M16—1221no—
617M16—2442no—
618C2×C8—21no—
619C2×C8—21no—
620C2×C8—21no—
621C2×C8—21no—
622C2×C8—1221no—
623C2×C8—1221no—
624C2×C8—1221no—
625C2×C8—1221no—
626C2×C8—1221no—
627C2×C8—1221no—
628C2×C8—2442no—
629C2×C8C2×C22⋊D6111yescharacteristic
630C2×C8C2×C22⋊D6111yescharacteristic
631C2×C8C2×C22⋊D6111yescharacteristic
632C2×C8C2×C22⋊D6111yescharacteristic
633C4⋊C4—21no—
634C4⋊C4—21no—
635C4⋊C4—611no—
636C4⋊C4—611no—
637C4⋊C4—611no—
638C4⋊C4—611no—
639C4⋊C4—1221no—
640C4⋊C4—1221no—
641C22⋊C4—41no—
642C22⋊C4—41no—
643C22⋊C4—1221no—
644C22⋊C4—1221no—
645C22⋊C4—1221no—
646C22⋊C4—1221no—
647C42—1221no—
648C42—1221no—
649C42—1221no—
650C42—1221no—
651C23—21no—
652C23—21no—
653C23—22no—
654C23—41no—
655C23—41no—
656C23—41no—
657C23—41no—
658C23—41no—
659C23—41no—
660C23—41no—
661C23—81no—
662C23—81no—
663C23—81no—
664C23—81no—
665C23#1451974811yescharacteristic
666C23#1451974811yescharacteristic
667C23C2×#1175822411yescharacteristic
668Q8—22no—
669Q8—22no—
670Q8—41no—
671Q8—41no—
672D4—22no—
673D4—22no—
674D4—44no—
675D4—44no—
676D4—41no—
677D4—41no—
678D4—41no—
679D4—41no—
680D4—41no—
681D4—41no—
682D4—82no—
683D4—82no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—22no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—41no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—81no—
701C2×C4—1221no—
702C2×C4—1221no—
703C2×C4—1221no—
704C2×C4—1221no—
705C2×C4—4881no—
706C2×C4—2442no—
707C2×C4#1451974811yescharacteristic
708C2×C4#1451974811yescharacteristic
709C2×C4C2×D4×D6111yescharacteristic
710C2×C4C22×C22⋊D6111yescharacteristic
711C2×C4C2×#1175822411yescharacteristic
712C2×C4C2×#1175822411yescharacteristic
713C2×C4#1451982211yescharacteristic
714C2×C4#1451982211yescharacteristic
715C8—21no—
716C8—21no—
717C8—21no—
718C8—21no—
719C8—2441no—
720C8—2441no—
721C8—2441no—
722C8—2441no—
723C8—2441no—
724C8—2441no—
725C22—21no—
726C22—21no—
727C22—21no—
728C22—21no—
729C22—21no—
730C22—21no—
731C22—21no—
732C22—21no—
733C22—42no—
734C22—81no—
735C22—81no—
736C22—82no—
737C22—82no—
738C22—81no—
739C22—81no—
740C22—81no—
741C22—81no—
742C22—81no—
743C22—161no—
744C22—161no—
745C22C2×#1451974811yescharacteristic
746C22#1684044311yescharacteristic
747C22#1684044311yescharacteristic
748C4—21no—
749C4—21no—
750C4—42no—
751C4—81no—
752C4—2441no—
753C4—2441no—
754C4—2441no—
755C4—2441no—
756C4#1684026811yescharacteristic
757C4#1684032711yescharacteristic
758C4#1684040611yescharacteristic
759C4#1684040611yescharacteristic
760C2—21no—
761C2—21no—
762C2—41no—
763C2—41no—
764C2—82no—
765C2—161no—
766C2#2144920011yescharacteristic
767C2#2145553511yescharacteristic
768C2#2145554311yescharacteristic
subgroupG/H
centerC22C2×#14519748
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
Fitting, prime radicalC2×C61×#449C2
socleC22×C61C2×#121
hypercenterC2×#449D61
hypocenterC61#24524
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ C2×#449

Complements

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

NH ≅ G/Ntype
1. #21455755C2semidirect
2. #21454473C2semidirect
3. #21454338C2semidirect
4. #21447184C2semidirect
5. #21447177C2semidirect
6. #21447077C2semidirect
7. #21447072C2semidirect
8. #21446730C2semidirect
9. #21446724C2semidirect
10. #21446478C2semidirect
11. #21446471C2semidirect
12. #21446283C2semidirect
13. #21446026C2semidirect
14. #21445747C2semidirect
451. C61#24524semidirect

Maximal subgroups

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

subgroupindex
#214557552
#214544732
#214543382
#214471842
#214471772
#214470772
#214470722
#214467302
#214467242
#214464782
#214464712
#214462832
#214460262
#214457472
C2×C61×#4492
#2452461