Finite Group Databasebeta

← #29718962

Subgroups — #29718962

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#21455759C211yesmaximal, characteristic, complemented
2C2×#16839907C211yesmaximal, characteristic
3#21454477C211yesmaximal, characteristic, complemented
4#21447186C211yesmaximal, characteristic, complemented
5#21447179C211yesmaximal, characteristic, complemented
6#21447079C211yesmaximal, characteristic, complemented
7#21447074C211yesmaximal, characteristic, complemented
8#21446728C211yesmaximal, characteristic, complemented
9#21446721C211yesmaximal, characteristic, complemented
10#21446484C211yesmaximal, characteristic, complemented
11#21446477C211yesmaximal, characteristic, complemented
12#21446282C211yesmaximal, characteristic, complemented
13#21446024C211yesmaximal, characteristic, complemented
14#21445747C211yesmaximal, characteristic, complemented
15C61×#2896C211yesmaximal, characteristic, complemented
16C22×#11758201C2211yescharacteristic
17C22×#11758199C2211yescharacteristic
18C2×#14519751C2211yescharacteristic
19#16840086—21no—
20#16840086—21no—
21#16840080—21no—
22#16840075—21no—
23#16839907—21no—
24#16839907—21no—
25#16839907—21no—
26#16839907—21no—
27#16839823—21no—
28#16839823—21no—
29#16839819—21no—
30#16839815—21no—
31C2×#14519712C2211yescharacteristic
32C2×#14519712C2211yescharacteristic
33#16839805C2211yescharacteristic
34#16839805C2211yescharacteristic
35#16839789C2211yescharacteristic
36#16839789C2211yescharacteristic
37#16839766C2211yescharacteristic
38#16839766C2211yescharacteristic
39C2×#14519701C2211yescharacteristic
40C2×#14519698C2211yescharacteristic
41C2×#14519696C2211yescharacteristic
42C2×#14519696C2211yescharacteristic
43C2×#14519694C2211yescharacteristic
44C2×#14519694C2211yescharacteristic
45C2×#14519693C2211yescharacteristic
46C2×#14519693C2211yescharacteristic
47#16839726C2211yescharacteristic
48#16839726C2211yescharacteristic
49C2×C22⋊#92418C2211yescharacteristic
50#16839718C2211yescharacteristic
51#16839718C2211yescharacteristic
52#16839530C2211yescharacteristic
53#16839530C2211yescharacteristic
54#16839526C2211yescharacteristic
55#16839526C2211yescharacteristic
56C22×#41×C61C2211yescharacteristic
57C22×M16×C61C2211yescharacteristic
58C2×#117×C61C2211yescharacteristic
59C61×#419C2211yescharacteristic
60C61×#419C2211yescharacteristic
61C61×#418C2211yescharacteristic
62C61×#418C2211yescharacteristic
63C61×#417—21no—
64C61×#417—21no—
65C61×#416—21no—
66C61×#416—21no—
67C22×D244C2311yescharacteristic
68C22×C22⋊D61—21no—
69C2×#11758201—22no—
70C2×#11758201—21no—
71C2×#11758201—21no—
72C2×#11758201—41no—
73C2×#11758199—22no—
74C2×#11758199—21no—
75C2×#11758199—21no—
76C2×#11758199—41no—
77C2×#11758194C2311yescharacteristic
78C2×#11758194C2311yescharacteristic
79C2×#11758194C2311yescharacteristic
80C2×#11758194C2311yescharacteristic
81C22×#92418C2311yescharacteristic
82C22×#92418C2311yescharacteristic
83#14519751—21no—
84#14519751—21no—
85#14519751—21no—
86#14519751—21no—
87C2×C4⋊Dic61C2311yescharacteristic
88C2×#11758198—21no—
89#14519712—41no—
90#14519712—41no—
91#14519710—21no—
92#14519710—21no—
93#14519708—21no—
94#14519708—21no—
95C4⋊#92418—21no—
96C4⋊#92418—21no—
97C4⋊#92418—21no—
98C4⋊#92418—21no—
99#14519701—21no—
100#14519701—21no—
101#14519698—21no—
102#14519698—21no—
103#14519697—21no—
104#14519697—21no—
105#14519697—21no—
106#14519697—21no—
107#14519696—22no—
108#14519696—41no—
109#14519694—22no—
110#14519694—41no—
111#14519693—41no—
112#14519693—41no—
113C22⋊#92418—21no—
114C22⋊#92418—21no—
115C22⋊#92418—21no—
116C22⋊#92418—21no—
117C22⋊#92418D411yescharacteristic
118C22⋊#92418D411yescharacteristic
119C22⋊#92418D411yescharacteristic
120C22⋊#92418D411yescharacteristic
121#14519688—21no—
122#14519688—21no—
123C4×#92418—21no—
124C4×#92418—21no—
125C2×#41×C61—22no—
126C2×#41×C61—22no—
127C2×#41×C61—21no—
128C2×#41×C61—21no—
129C2×#41×C61—21no—
130C2×#41×C61—21no—
131C2×#41×C61—41no—
132C2×#41×C61—41no—
133C22×Q8×C61C2311yescharacteristic
134C22×D4×C61—21no—
135C22×D4×C61C2311yescharacteristic
136C23×C4×C61—21no—
137C23×C4×C61C2311yescharacteristic
138C2×M16×C61—21no—
139C2×M16×C61—41no—
140C2×M16×C61—41no—
141C2×M16×C61C2311yescharacteristic
142C2×M16×C61C2311yescharacteristic
143C22×C8×C61—21no—
144#117×C61—21no—
145#117×C61—21no—
146#117×C61D411yescharacteristic
147#117×C61D411yescharacteristic
148#117×C61C2311yescharacteristic
149#117×C61C2311yescharacteristic
150C2×C4⋊C4×C61D411yescharacteristic
151C2×C4⋊C4×C61D411yescharacteristic
152C2×C22⋊C4×C61—21no—
153C2×C42×C61—21no—
154#103×C61—21no—
155#103×C61—21no—
156#103×C61—21no—
157#103×C61—21no—
158#102×C61—21no—
159#102×C61—21no—
160#102×C61—21no—
161#102×C61—21no—
162C24×C61—21no—
163C24×C61#4111yescharacteristic
164C23×D61—21no—
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—42no—
185C2×D4×C61—42no—
186C2×D4×C61—41no—
187C2×D4×C61—41no—
188C2×D4×C61#4112yes—
189C22×C4×C61—21no—
190C22×C4×C61—21no—
191C22×C4×C61—21no—
192C22×C4×C61—21no—
193C22×C4×C61—21no—
194C22×C4×C61—21no—
195C22×C4×C61—21no—
196C22×C4×C61—42no—
197C22×C4×C61—42no—
198C22×C4×C61—41no—
199C22×C4×C61—41no—
200C22×C4×C61C2×D411yescharacteristic
201C22×C4×C61C2×D411yescharacteristic
202C22×C4×C61C2×D411yescharacteristic
203C22×C4×C61C2×D411yescharacteristic
204C22×C4×C61#4111yescharacteristic
205C22×C4×C61C2411yescharacteristic
206C2×C22⋊D61—41no—
207C2×C22⋊D61—41no—
208C2×C22⋊D61—82no—
209C22×Dic61—21no—
210C2×D244—21no—
211C2×D244—21no—
212C2×D244—21no—
213C2×D244—21no—
214C2×D244—21no—
215C2×D244—21no—
216M16×C61—21no—
217M16×C61—21no—
218M16×C61—21no—
219M16×C61—21no—
220M16×C61—42no—
221C2×C8×C61—21no—
222C2×C8×C61—21no—
223C2×C8×C61—42no—
224C4⋊C4×C61—21no—
225C4⋊C4×C61—21no—
226C4⋊C4×C61C2×D411yescharacteristic
227C4⋊C4×C61C2×D411yescharacteristic
228C4⋊C4×C61C2×D411yescharacteristic
229C4⋊C4×C61C2×D411yescharacteristic
230C22⋊C4×C61—21no—
231C22⋊C4×C61—21no—
232C22⋊C4×C61—21no—
233C22⋊C4×C61—21no—
234C42×C61—21no—
235C42×C61—21no—
236C42×C61—21no—
237C42×C61—21no—
238#11758201—42no—
239#11758201—42no—
240#11758199—42no—
241#11758199—42no—
242#11758198—41no—
243#11758198—41no—
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—
254C2×#92418—21no—
255C2×#92418—21no—
256C2×#92418—21no—
257C2×#92418—21no—
258C2×#92418—21no—
259C2×#92418—21no—
260C2×#92418—21no—
261C2×#92418—21no—
262C2×#92418C2×D411yescharacteristic
263C2×#92418C2×D411yescharacteristic
264C2×#92418C2×D411yescharacteristic
265C2×#92418C2×D411yescharacteristic
266C23×C61—21no—
267C23×C61—21no—
268C23×C61—22no—
269C23×C61—41no—
270C23×C61—41no—
271C23×C61—41no—
272C23×C61—41no—
273C23×C61—81no—
274C23×C61—81no—
275C23×C61#12111yescharacteristic
276C23×C61#12111yescharacteristic
277C23×C61C2×#4111yescharacteristic
278C22×D61—41no—
279C22×D61—41no—
280C22×D61—41no—
281C22×D61—81no—
282C22×D61—81no—
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—
293C2×C4×C61—21no—
294C2×C4×C61—21no—
295C2×C4×C61—21no—
296C2×C4×C61—21no—
297C2×C4×C61—21no—
298C2×C4×C61—21no—
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—22no—
308C2×C4×C61—44no—
309C2×C4×C61—44no—
310C2×C4×C61—42no—
311C2×C4×C61—41no—
312C2×C4×C61—41no—
313C2×C4×C61—81no—
314C2×C4×C61#12111yescharacteristic
315C2×C4×C61#12111yescharacteristic
316C2×C4×C61C22×D411yescharacteristic
317C2×C4×C61C22×D411yescharacteristic
318C2×C4×C61C2×#4111yescharacteristic
319C2×C4×C61C2×#4111yescharacteristic
320C2×C4×C61H(5,𝔽2)11yescharacteristic
321C2×C4×C61H(5,𝔽2)11yescharacteristic
322C22⋊D61—82no—
323C22⋊D61—82no—
324C2×Dic61—41no—
325C2×Dic61—81no—
326D244—41no—
327D244—41no—
328D244—41no—
329D244—41no—
330C8×C61—41no—
331C8×C61—41no—
332#92418—21no—
333#92418—21no—
334#92418—21no—
335#92418—21no—
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×C61C2×#12111yescharacteristic
357C22×C61#55111yescharacteristic
358C22×C61#55111yescharacteristic
359C2×D61—81no—
360C2×D61—81no—
361C2×D61—81no—
362C2×D61—161no—
363C2×D61—161no—
364C4×C61—21no—
365C4×C61—21no—
366C4×C61—42no—
367C4×C61—41no—
368C4×C61—41no—
369C4×C61—41no—
370C4×C61—41no—
371C4×C61#52511yescharacteristic
372C4×C61#53511yescharacteristic
373C4×C61#54611yescharacteristic
374C4×C61#54611yescharacteristic
375Dic61—81no—
376#3094—611no—
377C2×#449—611no—
378#2924—611no—
379#2896D6111yescharacteristic, complemented
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#241111yescharacteristic
397C2×C61#306711yescharacteristic
398C2×C61#306811yescharacteristic
399D61—161no—
400C22×#41C2×D6111yescharacteristic
401C22×SD16—611no—
402C22×D8—611no—
403C22×M16C2×D6111yescharacteristic
404C2×#121—611no—
405C2×#117C2×D6111yescharacteristic
406#482—1221no—
407#482—1221no—
408#481—1221no—
409#480—1221no—
410#449—1221no—
411#449—1221no—
412#449—1221no—
413#449—1221no—
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#419C2×D6111yescharacteristic
425#419C2×D6111yescharacteristic
426#418—611no—
427#418—611no—
428#418C2×D6111yescharacteristic
429#418C2×D6111yescharacteristic
430#417—21no—
431#417—21no—
432#416—21no—
433#416—21no—
434C2×#103—611no—
435C2×#102—611no—
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⋊C8—611no—
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—611no—
463C22×D4—1221no—
464C22×D4C22×D6111yescharacteristic
465C23×C4—21no—
466C23×C4C22×D6111yescharacteristic
467C2×SD16—1221no—
468C2×SD16—1221no—
469C2×SD16—1222no—
470C2×SD16—2441no—
471C2×D8—1221no—
472C2×D8—1221no—
473C2×D8—1222no—
474C2×D8—2441no—
475C2×M16—21no—
476C2×M16—41no—
477C2×M16—41no—
478C2×M16—611no—
479C2×M16—611no—
480C2×M16—611no—
481C2×M16—611no—
482C2×M16C22×D6111yescharacteristic
483C2×M16C22×D6111yescharacteristic
484C22×C8—21no—
485C22×C8—611no—
486C22×C8—611no—
487#121—1221no—
488#121—1221no—
489#121—1221no—
490#121—1221no—
491#117—21no—
492#117—21no—
493#117C22⋊D6111yescharacteristic
494#117C22⋊D6111yescharacteristic
495#117C22×D6111yescharacteristic
496#117C22×D6111yescharacteristic
497C2×C4⋊C4—611no—
498C2×C4⋊C4C22⋊D6111yescharacteristic
499C2×C4⋊C4C22⋊D6111yescharacteristic
500C2×C22⋊C4—21no—
501C2×C22⋊C4—1221no—
502C2×C42—21no—
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—21no—
516#103—21no—
517#103—1221no—
518#103—1221no—
519#102—21no—
520#102—21no—
521#102—21no—
522#102—21no—
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—611no—
536C22⋊C8—611no—
537C22⋊C8—611no—
538C22⋊C8—611no—
539C22⋊C8—1221no—
540C22⋊C8—1221no—
541C22⋊C8—1221no—
542C22⋊C8—1221no—
543#97—1221no—
544#97—1221no—
545C4×C8—1221no—
546C4×C8—1221no—
547C24—21no—
548C24—1221no—
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#1175822212yes—
564C2×D4—21no—
565C2×D4—21no—
566C2×D4—21no—
567C2×D4—21no—
568C2×D4—21no—
569C2×D4—42no—
570C2×D4—42no—
571C2×D4—41no—
572C2×D4—41no—
573C2×D4—1221no—
574C2×D4—1221no—
575C2×D4—1221no—
576C2×D4—1221no—
577C2×D4—1221no—
578C2×D4—1221no—
579C2×D4—4882no—
580C2×D4—2441no—
581C2×D4—2441no—
582C2×D4#1175822212yes—
583C22×C4—21no—
584C22×C4—21no—
585C22×C4—21no—
586C22×C4—21no—
587C22×C4—21no—
588C22×C4—21no—
589C22×C4—21no—
590C22×C4—42no—
591C22×C4—42no—
592C22×C4—41no—
593C22×C4—41no—
594C22×C4—1221no—
595C22×C4D4×D6111yescharacteristic
596C22×C4D4×D6111yescharacteristic
597C22×C4#1175822411yescharacteristic
598C22×C4C2×C22⋊D6111yescharacteristic
599C22×C4C2×C22⋊D6111yescharacteristic
600C22×C4C23×D6111yescharacteristic
601SD16—2442no—
602SD16—2442no—
603D8—2442no—
604D8—2442no—
605M16—21no—
606M16—21no—
607M16—21no—
608M16—21no—
609M16—42no—
610M16—1221no—
611M16—1221no—
612M16—1221no—
613M16—1221no—
614M16—1221no—
615M16—1221no—
616M16—1221no—
617M16—1221no—
618C2×C8—21no—
619C2×C8—21no—
620C2×C8—42no—
621C2×C8—611no—
622C2×C8—611no—
623C2×C8—611no—
624C2×C8—611no—
625C2×C8—1221no—
626C2×C8—1221no—
627C2×C8—1221no—
628C2×C8—1221no—
629C2×C8—1221no—
630C2×C8—1221no—
631C2×C8—1221no—
632C2×C8—1221no—
633C4⋊C4—21no—
634C4⋊C4—21no—
635C4⋊C4—1221no—
636C4⋊C4—1221no—
637C4⋊C4C2×C22⋊D6111yescharacteristic
638C4⋊C4C2×C22⋊D6111yescharacteristic
639C4⋊C4C2×C22⋊D6111yescharacteristic
640C4⋊C4C2×C22⋊D6111yescharacteristic
641C22⋊C4—21no—
642C22⋊C4—21no—
643C22⋊C4—21no—
644C22⋊C4—21no—
645C22⋊C4—2441no—
646C22⋊C4—2441no—
647C42—21no—
648C42—21no—
649C42—21no—
650C42—21no—
651C23—21no—
652C23—21no—
653C23—22no—
654C23—41no—
655C23—41no—
656C23—41no—
657C23—41no—
658C23—81no—
659C23—81no—
660C23—4881no—
661C23—4881no—
662C23—2441no—
663C23—2441no—
664C23—2441no—
665C23#1451974911yescharacteristic
666C23#1451974911yescharacteristic
667C23C2×#1175822411yescharacteristic
668Q8—22no—
669Q8—22no—
670Q8—41no—
671Q8—41no—
672D4—22no—
673D4—22no—
674D4—44no—
675D4—44no—
676D4—41no—
677D4—41no—
678D4—4882no—
679D4—4882no—
680D4—2441no—
681D4—2441no—
682D4—2441no—
683D4—2441no—
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—21no—
695C2×C4—21no—
696C2×C4—21no—
697C2×C4—21no—
698C2×C4—22no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—42no—
702C2×C4—41no—
703C2×C4—41no—
704C2×C4—81no—
705C2×C4—4881no—
706C2×C4—2441no—
707C2×C4#1451974911yescharacteristic
708C2×C4#1451974911yescharacteristic
709C2×C4C2×D4×D6111yescharacteristic
710C2×C4C22×C22⋊D6111yescharacteristic
711C2×C4C2×#1175822211yescharacteristic
712C2×C4C2×#1175822211yescharacteristic
713C2×C4#1451982211yescharacteristic
714C2×C4#1451982211yescharacteristic
715C8—41no—
716C8—41no—
717C8—1221no—
718C8—1221no—
719C8—1221no—
720C8—1221no—
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—9761no—
741C22—9761no—
742C22—4881no—
743C22—4881no—
744C22—4881no—
745C22C2×#1451974911yescharacteristic
746C22#1684043811yescharacteristic
747C22#1684043811yescharacteristic
748C4—21no—
749C4—21no—
750C4—41no—
751C4—41no—
752C4—41no—
753C4—41no—
754C4—42no—
755C4—4881no—
756C4#1684027311yescharacteristic
757C4#1684032911yescharacteristic
758C4#1684040211yescharacteristic
759C4#1684040211yescharacteristic
760C2—21no—
761C2—21no—
762C2—41no—
763C2—41no—
764C2—82no—
765C2—9761no—
766C2#2144920411yescharacteristic
767C2#2145553611yescharacteristic
768C2#2145554911yescharacteristic
subgroupG/H
centerC22C2×#14519749
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC61×#2896C2
socleC22×C61C2×#121
prime radicalC2×#16839907C2
hypercenter#2896D61
hypocenterC61#24524
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #2896

Complements

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

NH ≅ G/Ntype
1. #21455759C2semidirect
3. #21454477C2semidirect
4. #21447186C2semidirect
5. #21447179C2semidirect
6. #21447079C2semidirect
7. #21447074C2semidirect
8. #21446728C2semidirect
9. #21446721C2semidirect
10. #21446484C2semidirect
11. #21446477C2semidirect
12. #21446282C2semidirect
13. #21446024C2semidirect
14. #21445747C2semidirect
15. C61×#2896C2semidirect
379. #2896D61semidirect
451. C61#24524semidirect

Maximal subgroups

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

subgroupindex
#214557592
C2×#168399072
#214544772
#214471862
#214471792
#214470792
#214470742
#214467282
#214467212
#214464842
#214464772
#214462822
#214460242
#214457472
C61×#28962
#2452461