Finite Group Databasebeta

← #29700812

Subgroups — #29700812

Order 15616.

1062 conjugacy classes of subgroups.

The subgroup lattice has 778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839931C211yesmaximal, characteristic
2#21454649C211yesmaximal, characteristic, complemented
3#21454647C211yesmaximal, characteristic, complemented
4#21454343C211yesmaximal, characteristic, complemented
5#21454342C211yesmaximal, characteristic, complemented
6#21446642C211yesmaximal, characteristic, complemented
7#21446480C211yesmaximal, characteristic, complemented
8#21446479C211yesmaximal, characteristic, complemented
9#21446328C211yesmaximal, characteristic, complemented
10#21446325C211yesmaximal, characteristic, complemented
11#21446216C211yesmaximal, characteristic, complemented
12#21446051C211yesmaximal, characteristic, complemented
13#21445664C211yesmaximal, characteristic, complemented
14#21445660C211yesmaximal, characteristic, complemented
15C61×#1860C211yesmaximal, characteristic, complemented
16C2×#14519823C2211yescharacteristic
17C2×#14519805C2211yescharacteristic
18C2×#14519802C2211yescharacteristic
19C2×#14519785C2211yescharacteristic
20C2×#14519784C2211yescharacteristic
21C2×#14519774C2211yescharacteristic
22#16840243C2211yescharacteristic
23#16840236C2211yescharacteristic, complemented
24#16839931C418yescomplemented
25#16839873—21no—
26#16839872—21no—
27#16839861—21no—
28#16839860—21no—
29C4×#11758201—21no—
30#16839849—21no—
31#16839844—21no—
32C4×#11758199—21no—
33#16839802C2211yescharacteristic, complemented
34C2×#14519705C2211yescharacteristic
35#16839768C2211yescharacteristic
36#16839766—21no—
37#16839766C2211yescharacteristic
38#16839765—21no—
39#16839762—21no—
40#16839761—21no—
41#16839761C2211yescharacteristic
42#16839758C2211yescharacteristic
43#16839757—21no—
44#16839756—21no—
45#16839756C2211yescharacteristic
46C2×#14519697—21no—
47C2×#14519697C2211yescharacteristic
48C2×#14519697C2211yescharacteristic
49C2×#14519697C2211yescharacteristic, complemented
50C2×#14519697C2211yescharacteristic, complemented
51#102×D61—21no—
52C2×#14519693C2211yescharacteristic
53C2×#14519693C2211yescharacteristic, complemented
54#16839720C2211yescharacteristic, complemented
55#16839718C2211yescharacteristic, complemented
56C2×#14519688C2211yescharacteristic, complemented
57#16839531C2211yescharacteristic, complemented
58#16839526C2211yescharacteristic, complemented
59#16839526C2211yescharacteristic, complemented
60#16839522C2211yescharacteristic, complemented
61C61×#520C2211yescharacteristic
62C61×#428C2211yescharacteristic, complemented
63C2×#104×C61C2211yescharacteristic
64C61×#417C2211yescharacteristic
65C61×#382C2211yescharacteristic, complemented
66C61×#343C2211yescharacteristic, complemented
67C61×#339C2211yescharacteristic, complemented
68#14519823—22no—
69#14519823—22no—
70#14519823—41no—
71#14519823C2×C414yescomplemented
72C2×#11758226—21no—
73C2×#11758222—21no—
74C2×#11758222C2311yescharacteristic
75C22×D244—21no—
76C22×D244—41no—
77C22×D244C2311yescharacteristic
78C22×D244C2311yescharacteristic
79C2×D4×D61—21no—
80C2×D4×D61—41no—
81#14519805—22no—
82#14519805C2×C414yescomplemented
83#14519802—22no—
84#14519802C2×C414yescomplemented
85C2×#11758190—21no—
86C2×#11758201—21no—
87C2×D488—21no—
88C2×#11758199—21no—
89#14519785—22no—
90#14519785—41no—
91#14519784—22no—
92#14519784—41no—
93C2×#11758194—21no—
94C2×#11758194C2311yescharacteristic
95C2×#11758194C2311yescharacteristic
96C2×#11758189—21no—
97C22×#92418—21no—
98C22×#92418C2311yescharacteristic
99C22×#92418C2311yescharacteristic
100C2×C8×D61—21no—
101#14519774—41no—
102#14519774C2×C414yescomplemented
103#14519742—21no—
104C4×D244—21no—
105C4×D244—21no—
106#14519739—21no—
107#14519739—21no—
108#14519739—21no—
109C4×C22⋊D61—41no—
110#14519736C2311yescharacteristic
111#14519735—21no—
112C4⋊C4×D61—21no—
113C22⋊C4×D61—41no—
114#14519710—21no—
115#14519708—21no—
116#14519705C2×C414yescomplemented
117#14519701D411yescharacteristic, complemented
118#14519701D411yescharacteristic, complemented
119#14519700—21no—
120#14519700D411yescharacteristic, complemented
121#14519700D411yescharacteristic, complemented
122#14519699—21no—
123#14519699—21no—
124#14519698D411yescharacteristic, complemented
125#14519698D411yescharacteristic, complemented
126#14519697—21no—
127#14519697—21no—
128#14519697—21no—
129#14519697—21no—
130#14519697—21no—
131#14519697—21no—
132#14519697—21no—
133#14519697—21no—
134#14519697—21no—
135#14519697—21no—
136#14519697—21no—
137#14519697D411yescharacteristic, complemented
138#14519697D411yescharacteristic, complemented
139#14519693—41no—
140#14519693C2×C414yescomplemented
141#14519688—21no—
142#14519688—41no—
143#14519687—21no—
144C4×#92418—21no—
145C8×Dic61—21no—
146C2×#41×C61C2311yescharacteristic
147C2×M16×C61C2311yescharacteristic
148C2×M16×C61C2311yescharacteristic
149C4×Q8×C61—21no—
150C4×D4×C61—21no—
151C4×D4×C61—41no—
152#117×C61—21no—
153#117×C61C2311yescharacteristic
154C2×C4⋊C4×C61—21no—
155C2×C4⋊C4×C61C2311yescharacteristic
156C2×C4⋊C4×C61C2311yescharacteristic
157C2×C42×C61C2311yescharacteristic
158#107×C61—21no—
159#106×C61—21no—
160#104×C61C2×C414yescomplemented
161#103×C61—21no—
162#102×C61—21no—
163#95×C61—41no—
164C23×D61—21no—
165C23×D61—21no—
166C23×D61—41no—
167#41×C61—21no—
168#41×C61—21no—
169#41×C61C22×C412yes—
170#41×C61#4112yes—
171C2×Q8×C61C2×D411yescharacteristic
172C2×D4×C61—21no—
173C2×D4×C61C2×D411yescharacteristic
174C22×C4×C61—21no—
175C22×C4×C61—21no—
176C22×C4×C61—21no—
177C22×C4×C61—21no—
178C22×C4×C61—41no—
179C22×C4×C61C2411yescharacteristic
180C2×C22⋊D61—21no—
181C2×C22⋊D61—41no—
182#11758226—24no—
183#11758226—42no—
184D4×D61—24no—
185D4×D61—42no—
186D4×D61—44no—
187D4×D61—44no—
188#11758222—21no—
189#11758222—21no—
190#11758222—24no—
191#11758222—42no—
192#11758222C22×C412yes—
193#11758222#4112yes—
194C2×D244—21no—
195C2×D244—21no—
196C2×D244—21no—
197C2×D244—21no—
198C2×D244—21no—
199C2×D244—21no—
200C2×D244—21no—
201C2×D244—21no—
202C2×D244—24no—
203C2×D244—21no—
204C2×D244—21no—
205C2×D244—42no—
206C2×D244—41no—
207C2×D244—44no—
208C2×D244—82no—
209C2×D244—82no—
210C2×D244C22×C412yes—
211C2×D244C22×C412yes—
212C2×D244C2×D411yescharacteristic
213C2×C4×D61—21no—
214C2×C4×D61—41no—
215C2×C4×D61—41no—
216C2×C4×D61—41no—
217C2×C4×D61—41no—
218C2×Dic122C2×D411yescharacteristic
219M16×C61—21no—
220M16×C61—21no—
221M16×C61—21no—
222M16×C61C22×C412yes—
223C2×C8×C61—21no—
224C2×C8×C61—21no—
225C4⋊C4×C61—21no—
226C4⋊C4×C61—21no—
227C4⋊C4×C61—21no—
228C4⋊C4×C61—21no—
229C4⋊C4×C61—41no—
230C4⋊C4×C61C2×D411yescharacteristic
231C4⋊C4×C61C2×D411yescharacteristic
232C22⋊C4×C61—21no—
233C22⋊C4×C61—41no—
234C42×C61—21no—
235C42×C61—21no—
236C42×C61—41no—
237C42×C61C22×C412yes—
238C22⋊Dic61—21no—
239#11758201—24no—
240#11758199—24no—
241#11758198—41no—
242#11758198—41no—
243#11758198—41no—
244C4⋊Dic61C2×D411yescharacteristic
245C4⋊Dic61C2×D411yescharacteristic
246#11758196—41no—
247C4×Dic61—21no—
248C4×Dic61—41no—
249#11758194—21no—
250#11758194—21no—
251#11758194—21no—
252#11758194—42no—
253#11758194C22×C412yes—
254C2×#92418—21no—
255C2×#92418—21no—
256C2×#92418—21no—
257C2×#92418—21no—
258C2×#92418—21no—
259C2×#92418—21no—
260C2×#92418—42no—
261C2×#92418C2×D411yescharacteristic
262C2×#92418C2×D411yescharacteristic
263C2×#92418C2×D411yescharacteristic
264C2×#92418C2×D411yescharacteristic
265D488—24no—
266#11758190—24no—
267#11758189—42no—
268C8×D61—42no—
269C23×C61—21no—
270C23×C61H(5,𝔽2)11yescharacteristic
271C22×D61—21no—
272C22×D61—22no—
273C22×D61—22no—
274C22×D61—44no—
275C22×D61—41no—
276C22×D61—41no—
277C22×D61—41no—
278C22×D61—41no—
279C22×D61—81no—
280C22×D61—81no—
281C22×D61—81no—
282C22×D61—81no—
283C22×D61—161no—
284C22×D61—161no—
285Q8×C61—21no—
286Q8×C61C4×D412yes—
287D4×C61—22no—
288D4×C61—22no—
289D4×C61—21no—
290D4×C61C4×D412yes—
291C2×C4×C61—21no—
292C2×C4×C61—22no—
293C2×C4×C61—22no—
294C2×C4×C61—22no—
295C2×C4×C61—21no—
296C2×C4×C61—21no—
297C2×C4×C61—41no—
298C2×C4×C61—41no—
299C2×C4×C61—41no—
300C2×C4×C61—41no—
301C2×C4×C61—81no—
302C2×C4×C61—81no—
303C2×C4×C61—161no—
304C2×C4×C61C23×C411yescharacteristic
305C2×C4×C61C22×D411yescharacteristic
306C2×C4×C61C22×D411yescharacteristic
307C2×C4×C61C2×#4111yescharacteristic
308C2×C4×C61C2×#4111yescharacteristic
309C2×C4×C61H(5,𝔽2)11yescharacteristic
310C22⋊D61—22no—
311C22⋊D61—22no—
312C22⋊D61—44no—
313C2×Dic61—21no—
314C2×Dic61—21no—
315C2×Dic61—21no—
316D244—22no—
317D244—22no—
318D244—22no—
319D244—22no—
320D244—21no—
321D244—44no—
322D244—41no—
323D244—41no—
324D244—41no—
325D244—41no—
326D244—88no—
327D244C4×D412yes—
328C4×D61—22no—
329C4×D61—22no—
330C4×D61—44no—
331C4×D61—161no—
332C4×D61—161no—
333C4×D61—161no—
334Dic122—21no—
335Dic122C4×D412yes—
336C8×C61—22no—
337C8×C61—41no—
338#92418—22no—
339#92418—21no—
340#92418—21no—
341#92418—21no—
342#92418—21no—
343#92418—41no—
344#22891—611nomaximal, Sylow
345C22×C61—21no—
346C22×C61—21no—
347C22×C61—22no—
348C22×C61—41no—
349C22×C61—41no—
350C22×C61#51811yescharacteristic
351C22×C61D4211yescharacteristic
352C22×C61#55111yescharacteristic
353C2×D61—22no—
354C2×D61—41no—
355C2×D61—41no—
356C2×D61—42no—
357C2×D61—42no—
358C2×D61—81no—
359C2×D61—81no—
360C2×D61—81no—
361C2×D61—81no—
362C2×D61—82no—
363C2×D61—82no—
364C2×D61—164no—
365C2×D61—161no—
366C2×D61—161no—
367C4×C61—22no—
368C4×C61—42no—
369C4×C61—41no—
370C4×C61—41no—
371C4×C61—81no—
372C4×C61—81no—
373C4×C61C2×C4×D411yescharacteristic
374C4×C61C2×C4×D411yescharacteristic
375C4×C61#54611yescharacteristic
376C4×C61#54611yescharacteristic
377Dic61—22no—
378Dic61—41no—
379Dic61—41no—
380C2×#453—611no—
381#2946—611no—
382#2946—611no—
383#2897—611no—
384#2897—611no—
385#1961—611no—
386#1931—611no—
387#1931—611no—
388#1907—611no—
389#1907—611no—
390#1887—611no—
391#1860—611no—
392#1860D6111yescharacteristic, complemented
393#1765—611no—
394#1765—611no—
395C2×C61—21no—
396C2×C61—21no—
397C2×C61—42no—
398C2×C61#235811yescharacteristic
399C2×C61#328811yescharacteristic
400C2×C61#328811yescharacteristic
401D61—42no—
402D61—82no—
403D61—82no—
404C2×H(5,𝔽2)—611no—
405C2×AGL(1,ℤ/8)—611no—
406C2×AGL(1,ℤ/8)—611no—
407C2×#131—611no—
408C2×#131—611no—
409C2×#127—611no—
410#520—611no—
411#520C2×D6111yescharacteristic
412#518—611no—
413#453—618no—
414#442—1221no—
415#442—1221no—
416#440—1221no—
417#440—1221no—
418C4×SD16—1221no—
419C4×SD16—1221no—
420C4×D8—1221no—
421C4×D8—1221no—
422#428—611no—
423#428C2×D6111yescharacteristic, complemented
424C2×#104—611no—
425C2×#104C2×D6111yescharacteristic
426#418—611no—
427#418—611no—
428#418—1221no—
429#418—1221no—
430#417—611no—
431#417—1221no—
432#417—1221no—
433#417C2×D6111yescharacteristic
434#416—611no—
435#416—611no—
436#416—1221no—
437#416—1221no—
438C2×#102—611no—
439C2×#102—611no—
440C2×#102—611no—
441C2×#102—611no—
442C2×#102—1221no—
443C2×#102—1221no—
444C2×#100—611no—
445C2×#100—611no—
446#405—611no—
447#405—611no—
448C2×#97—611no—
449#382C2×D6111yescharacteristic, complemented
450#343—611no—
451#343C2×D6111yescharacteristic, complemented
452#341—611no—
453#341—611no—
454#339—611no—
455#339C2×D6111yescharacteristic, complemented
456C61#2289111yescharacteristic, complemented, Sylow
457H(5,𝔽2)—614no—
458H(5,𝔽2)—1222no—
459H(5,𝔽2)—1222no—
460H(5,𝔽2)—2441no—
461C2×#41—611no—
462C2×#41—1221no—
463C2×#41—1221no—
464C2×#41C22×D6111yescharacteristic
465C22×D4—611no—
466C22×D4—611no—
467C22×D4—1221no—
468C22×D4—1221no—
469C22×D4—2441no—
470C22×D4—2441no—
471AGL(1,ℤ/8)—614no—
472AGL(1,ℤ/8)—614no—
473AGL(1,ℤ/8)—1222no—
474AGL(1,ℤ/8)—1222no—
475C2×SD16—1221no—
476C2×SD16—1221no—
477C2×D8—1221no—
478C2×D8—1221no—
479#131—1222no—
480#131—1222no—
481#131—2441no—
482#131—2441no—
483C2×M16—611no—
484C2×M16—611no—
485C2×M16—1221no—
486C2×M16—1221no—
487C2×M16C22×D6111yescharacteristic
488C2×M16C22×D6111yescharacteristic
489C22×C8—611no—
490C22×C8—611no—
491C22×C8—1221no—
492C22×C8—1221no—
493#127—614no—
494#127—2441no—
495C4×Q8—21no—
496C4×Q8—1221no—
497C4×D4—21no—
498C4×D4—41no—
499C4×D4—1221no—
500C4×D4—1221no—
501C4×D4—1221no—
502C4×D4—1221no—
503C4×D4—1221no—
504C4×D4—2441no—
505#117—21no—
506#117—611no—
507#117—1221no—
508#117C22×D6111yescharacteristic
509C2×C4⋊C4—21no—
510C2×C4⋊C4—1221no—
511C2×C4⋊C4C22×D6111yescharacteristic
512C2×C4⋊C4C22×D6111yescharacteristic
513C2×C22⋊C4—2441no—
514C2×C42C22×D6111yescharacteristic
515#107—21no—
516#107—1221no—
517#106—21no—
518#106—1221no—
519#104—614no—
520#104C4×D6114yescomplemented
521#103—21no—
522#103—611no—
523#103—611no—
524#103—611no—
525#103—611no—
526#103—1221no—
527#102—21no—
528#102—611no—
529#102—611no—
530#102—611no—
531#102—611no—
532#102—1221no—
533#102—1221no—
534#102—1221no—
535#102—1221no—
536#102—1221no—
537#102—1221no—
538#102—1221no—
539#102—1221no—
540#102—1221no—
541#102—1221no—
542#102—1221no—
543#102—1221no—
544#102—1221no—
545#100—614no—
546#100—2441no—
547#97—1221no—
548#97—1221no—
549#97—2441no—
550C4×C8—1221no—
551C4×C8—1221no—
552#95—41no—
553C24—1221no—
554C24—1221no—
555C24—2441no—
556#41—21no—
557#41—21no—
558#41—612no—
559#41—612no—
560#41—1224no—
561#41—1221no—
562#41—1221no—
563#41—1224no—
564#41—2442no—
565#41—2442no—
566#41C2×C4×D6112yes—
567#41#1175822612yes—
568C2×Q8—611no—
569C2×Q8D4×D6111yescharacteristic
570C2×D4—21no—
571C2×D4—612no—
572C2×D4—612no—
573C2×D4—611no—
574C2×D4—1224no—
575C2×D4—1221no—
576C2×D4—1224no—
577C2×D4—1221no—
578C2×D4—1221no—
579C2×D4—1221no—
580C2×D4—1221no—
581C2×D4—1221no—
582C2×D4—1221no—
583C2×D4—1221no—
584C2×D4—1221no—
585C2×D4—1221no—
586C2×D4—1221no—
587C2×D4—4882no—
588C2×D4—4882no—
589C2×D4—2442no—
590C2×D4—2444no—
591C2×D4—2441no—
592C2×D4—2442no—
593C2×D4—2441no—
594C2×D4—2444no—
595C2×D4—2444no—
596C2×D4D4×D6111yescharacteristic
597C22×C4—21no—
598C22×C4—21no—
599C22×C4—21no—
600C22×C4—21no—
601C22×C4—41no—
602C22×C4—1221no—
603C22×C4—2441no—
604C22×C4—2441no—
605C22×C4—2441no—
606C22×C4—2441no—
607C22×C4C23×D6111yescharacteristic
608SD16—1224no—
609SD16—1224no—
610D8—1224no—
611D8—1224no—
612M16—21no—
613M16—21no—
614M16—21no—
615M16—612no—
616M16—1221no—
617M16—1221no—
618M16—1221no—
619M16—2442no—
620M16—2442no—
621M16C2×C4×D6112yes—
622C2×C8—21no—
623C2×C8—21no—
624C2×C8—611no—
625C2×C8—611no—
626C2×C8—611no—
627C2×C8—611no—
628C2×C8—1221no—
629C2×C8—1221no—
630C2×C8—1221no—
631C2×C8—1221no—
632C2×C8—1221no—
633C2×C8—1221no—
634C2×C8—2442no—
635C2×C8—2442no—
636C4⋊C4—21no—
637C4⋊C4—21no—
638C4⋊C4—21no—
639C4⋊C4—21no—
640C4⋊C4—41no—
641C4⋊C4—611no—
642C4⋊C4—611no—
643C4⋊C4—2441no—
644C4⋊C4D4×D6111yescharacteristic
645C4⋊C4D4×D6111yescharacteristic
646C22⋊C4—21no—
647C22⋊C4—41no—
648C22⋊C4—1221no—
649C22⋊C4—2441no—
650C22⋊C4—2441no—
651C22⋊C4—2441no—
652C42—21no—
653C42—21no—
654C42—41no—
655C42—1221no—
656C42—2441no—
657C42C2×C4×D6112yes—
658C23—21no—
659C23—1221no—
660C23—1222no—
661C23—1222no—
662C23—9761no—
663C23—9761no—
664C23—4881no—
665C23—4881no—
666C23—4881no—
667C23—4881no—
668C23—2444no—
669C23—2441no—
670C23—2441no—
671C23—2441no—
672C23—2441no—
673C23#1451982211yescharacteristic
674Q8—21no—
675Q8—612no—
676Q8—1221no—
677Q8#1451973912yes—
678D4—22no—
679D4—22no—
680D4—21no—
681D4—612no—
682D4—1222no—
683D4—1222no—
684D4—1222no—
685D4—1222no—
686D4—1222no—
687D4—1222no—
688D4—1221no—
689D4—4888no—
690D4—2444no—
691D4—2444no—
692D4—2441no—
693D4—2441no—
694D4—2441no—
695D4—2441no—
696D4#1451973912yes—
697C2×C4—21no—
698C2×C4—22no—
699C2×C4—22no—
700C2×C4—22no—
701C2×C4—21no—
702C2×C4—21no—
703C2×C4—41no—
704C2×C4—41no—
705C2×C4—41no—
706C2×C4—41no—
707C2×C4—81no—
708C2×C4—81no—
709C2×C4—161no—
710C2×C4—1221no—
711C2×C4—1222no—
712C2×C4—1222no—
713C2×C4—1221no—
714C2×C4—1221no—
715C2×C4—9761no—
716C2×C4—9761no—
717C2×C4—9761no—
718C2×C4—2444no—
719C2×C4C22×C4×D6111yescharacteristic
720C2×C4C2×D4×D6111yescharacteristic
721C2×C4C2×D4×D6111yescharacteristic
722C2×C4#41×D6111yescharacteristic
723C2×C4C2×#1175822611yescharacteristic
724C2×C4#1451982311yescharacteristic
725C8—22no—
726C8—41no—
727C8—1222no—
728C8—1221no—
729C8—1221no—
730C8—1221no—
731C8—1221no—
732C8—2441no—
733C22—21no—
734C22—21no—
735C22—22no—
736C22—41no—
737C22—41no—
738C22—1222no—
739C22—9761no—
740C22—9761no—
741C22—9764no—
742C22—4882no—
743C22—4882no—
744C22—4881no—
745C22—4881no—
746C22—4881no—
747C22—4881no—
748C22—2442no—
749C22—2442no—
750C22—2441no—
751C22—2441no—
752C22#1684023411yescharacteristic
753C22#1684039411yescharacteristic
754C22#1684043911yescharacteristic
755C4—22no—
756C4—42no—
757C4—41no—
758C4—41no—
759C4—81no—
760C4—81no—
761C4—1222no—
762C4—2441no—
763C4—2441no—
764C4C4×D4×D6111yescharacteristic
765C4C2×#1451973911yescharacteristic
766C4#1684040311yescharacteristic
767C4#1684040411yescharacteristic
768C2—21no—
769C2—21no—
770C2—42no—
771C2—4882no—
772C2—4882no—
773C2—2442no—
774C2#2144879511yescharacteristic
775C2#2145758711yescharacteristic
776C2#2145758811yescharacteristic
subgroupG/H
centerC22#16840394
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1860C2
socleC22×C61D42
prime radicalC2×#16839931C2
cosocleC22×C4×C61C24
hypercenter#1860D61
hypocenterC61#22891
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×C4 ◁ #1860

Complements

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

NH ≅ G/Ntype
2. #21454649C2semidirect
3. #21454647C2semidirect
4. #21454343C2semidirect
5. #21454342C2semidirect
6. #21446642C2semidirect
7. #21446480C2semidirect
8. #21446479C2semidirect
9. #21446328C2semidirect
10. #21446325C2semidirect
11. #21446216C2semidirect
12. #21446051C2semidirect
13. #21445664C2semidirect
14. #21445660C2semidirect
15. C61×#1860C2semidirect
23. #16840236C22semidirect
24. #16839931C4semidirect
33. #16839802C22semidirect
49. C2×#14519697C22semidirect
50. C2×#14519697C22semidirect
53. C2×#14519693C22semidirect
54. #16839720C22semidirect
55. #16839718C22semidirect
56. C2×#14519688C22semidirect
57. #16839531C22semidirect
58. #16839526C22semidirect
59. #16839526C22semidirect
60. #16839522C22semidirect
62. C61×#428C22semidirect
65. C61×#382C22semidirect
66. C61×#343C22semidirect
67. C61×#339C22semidirect
71. #14519823C2×C4semidirect
82. #14519805C2×C4semidirect
84. #14519802C2×C4semidirect
102. #14519774C2×C4semidirect
116. #14519705C2×C4semidirect
117. #14519701D4semidirect
118. #14519701D4semidirect
120. #14519700D4semidirect
121. #14519700D4semidirect
124. #14519698D4semidirect
125. #14519698D4semidirect
137. #14519697D4semidirect
138. #14519697D4semidirect
140. #14519693C2×C4semidirect
160. #104×C61C2×C4semidirect
392. #1860D61semidirect
423. #428C2×D61semidirect
449. #382C2×D61semidirect
451. #343C2×D61semidirect
455. #339C2×D61semidirect
456. C61#22891semidirect
520. #104C4×D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168399312
#214546492
#214546472
#214543432
#214543422
#214466422
#214464802
#214464792
#214463282
#214463252
#214462162
#214460512
#214456642
#214456602
C61×#18602
#2289161