Finite Group Databasebeta

← #30622610

Subgroups — #30622610

Order 15616.

802 conjugacy classes of subgroups.

The subgroup lattice has 756 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21462550C211yesmaximal, characteristic, complemented
2#21462549C211yesmaximal, characteristic, complemented
3#21461915C211yesmaximal, characteristic, complemented
4#21461913C211yesmaximal, characteristic, complemented
5#21461886C211yesmaximal, characteristic, complemented
6#21461886C211yesmaximal, characteristic, complemented
7#21461810C211yesmaximal, characteristic, complemented
8#21461810C211yesmaximal, characteristic, complemented
9#21461803C211yesmaximal, characteristic, complemented
10#21461802C211yesmaximal, characteristic, complemented
11#21461598C211yesmaximal, characteristic, complemented
12#21461594C211yesmaximal, characteristic, complemented
13#21461559C211yesmaximal, characteristic, complemented
14#21461513C211yesmaximal, characteristic, complemented
15#21455426C211yesmaximal, characteristic
16C2×#14519864C2211yescharacteristic
17C2×#14519864C2211yescharacteristic
18C22×#11758213C2211yescharacteristic
19C2×D61⋊M16C2211yescharacteristic
20#16840797—21no—
21#16840795—21no—
22#16840794—21no—
23#16840793—21no—
24#16840793—21no—
25#16840791—21no—
26#16840789—21no—
27D4×#92420—21no—
28#16840769C2211yescharacteristic
29#16840769C2211yescharacteristic
30C2×#14519841C2211yescharacteristic
31C2×#14519841C2211yescharacteristic
32C2×#14519841C2211yescharacteristic
33C2×#14519841C2211yescharacteristic
34#16840736C2211yescharacteristic
35#16840736C2211yescharacteristic
36D61⋊(C22⋊C8)C2211yescharacteristic
37#16840727C2211yescharacteristic
38#16840727C2211yescharacteristic
39C2×#14519831C2211yescharacteristic
40C2×C8×#6923C2211yescharacteristic
41C4×C22⋊#6923C2211yescharacteristic
42#16840638C2211yescharacteristic
43#16840638C2211yescharacteristic
44#16840638C2211yescharacteristic
45#16840638C2211yescharacteristic
46#16840632C2211yescharacteristic
47#16840632C2211yescharacteristic
48#16840632C2211yescharacteristic
49#16840632C2211yescharacteristic
50(C2×#6923)⋊C8C2211yescharacteristic
51(C2×#6923)⋊C8C2211yescharacteristic
52C2×#14519796C2211yescharacteristic
53C2×M16×D61C2211yescharacteristic
54#16840272C2211yescharacteristic
55#16840272C2211yescharacteristic
56#16840021C411yescharacteristic, complemented
57#16840020C411yescharacteristic, complemented
58#16840012C411yescharacteristic, complemented
59#16840007C411yescharacteristic, complemented
60#16840007C411yescharacteristic, complemented
61#16840006C411yescharacteristic, complemented
62#16840006C411yescharacteristic, complemented
63#16839797C2211yescharacteristic
64#16839755C2211yescharacteristic
65#16839755C2211yescharacteristic
66C61×#469C411yescharacteristic, complemented
67#14519864—22no—
68#14519864—22no—
69#14519864—41no—
70#14519864—41no—
71C2×#11758213—22no—
72C2×#11758213—21no—
73C2×#11758213—41no—
74C2×#11758213C2311yescharacteristic
75C2×#11758213C2311yescharacteristic
76C2×#11758213C2311yescharacteristic
77C2×#11758213C2311yescharacteristic
78D61⋊M16—22no—
79D61⋊M16—41no—
80C2×#11758217—21no—
81C2×#11758217—21no—
82C2×#11758217—21no—
83C2×D61⋊C8—21no—
84C2×D61⋊C8C2311yescharacteristic
85C2×D61⋊C8C2311yescharacteristic
86C22×#92420—21no—
87C22×#92420—21no—
88C22×#92420—21no—
89C2×C22⋊#6923—21no—
90C2×C4×#6923C2311yescharacteristic
91C2×C4×#6923C2311yescharacteristic
92#14519844—21no—
93#14519844—21no—
94C4⋊#92420—21no—
95C4⋊#92420—21no—
96#14519841—22no—
97#14519841—22no—
98#14519841—41no—
99#14519841—41no—
100#14519834D411yescharacteristic
101#14519834D411yescharacteristic
102C22⋊#92420—21no—
103C22⋊#92420—21no—
104C22⋊#92420—21no—
105C22⋊#92420—21no—
106C22⋊#92420D411yescharacteristic
107C22⋊#92420D411yescharacteristic
108#14519832—21no—
109#14519832—21no—
110#14519831—41no—
111C4×#92420—21no—
112C4×#92420—21no—
113C8×#6923—41no—
114(C2×#6923)⋊C4—21no—
115C2×#11758224C2311yescharacteristic
116C2×#11758224C2311yescharacteristic
117C22×C4×D61C2311yescharacteristic
118#14519796—41no—
119#14519796—41no—
120C2×Dic244C2×C411yescharacteristic
121C2×#11758200C2×C411yescharacteristic
122C2×#11758200C2×C411yescharacteristic
123C2×#11758194C2×C411yescharacteristic
124C2×#11758189C2×C411yescharacteristic
125C2×#11758189C2×C411yescharacteristic
126M16×D61—41no—
127M16×D61—41no—
128C2×C8×D61C2311yescharacteristic
129C2×C8×D61C2311yescharacteristic
130#14519759—21no—
131#14519759—21no—
132#14519757C2×C411yescharacteristic
133#14519757C2×C411yescharacteristic
134#14519756C2×C411yescharacteristic
135#14519756C2×C411yescharacteristic
136#14519748C2×C411yescharacteristic
137#14519748C2×C411yescharacteristic
138#14519745—21no—
139#14519745—21no—
140D4×Dic61—21no—
141D4×Dic61—21no—
142#14519737—21no—
143#14519737—21no—
144#14519735C2311yescharacteristic
145#14519735C2311yescharacteristic
146#14519710C2×C411yescharacteristic
147#14519710C2×C411yescharacteristic
148#14519709C2×C411yescharacteristic
149#14519702C2×C411yescharacteristic
150#14519702C2×C411yescharacteristic
151#14519700C2×C411yescharacteristic
152#14519700C2×C411yescharacteristic
153#14519698C2×C411yescharacteristic
154#14519698C2×C411yescharacteristic
155C2×D8×C61C2×C411yescharacteristic
156C2×M16×C61C2×C411yescharacteristic
157#121×C61C2×C411yescharacteristic
158#121×C61C2×C411yescharacteristic
159#106×C61C2×C411yescharacteristic
160#102×C61C2×C411yescharacteristic
161#102×C61C2×C411yescharacteristic
162C23×D61#4111yescharacteristic
163C22×#6923—21no—
164C22×#6923—21no—
165C2×D4×C61—21no—
166C2×D4×C61—21no—
167C2×D4×C61C22×C411yescharacteristic
168C2×D4×C61C22×C411yescharacteristic
169C22×C4×C61C22×C411yescharacteristic
170C2×C22⋊D61—21no—
171C2×C22⋊D61—21no—
172C2×C22⋊D61—21no—
173C2×C22⋊D61—21no—
174C22×Dic61—21no—
175C22×Dic61—21no—
176C22×Dic61C2×D411yescharacteristic
177#11758224—21no—
178#11758224—21no—
179#11758224—21no—
180#11758224—21no—
181#11758224—21no—
182#11758224—21no—
183#11758224—21no—
184#11758224—21no—
185C2×C4×D61—21no—
186C2×C4×D61—21no—
187C2×C4×D61—21no—
188C2×C4×D61—21no—
189C2×C4×D61C22×C411yescharacteristic
190C2×C4×D61C2×D411yescharacteristic
191C2×C4×D61#4111yescharacteristic
192C2×C4×D61C2411yescharacteristic
193C2×Dic122C22×C411yescharacteristic
194C2×Dic122C22×C411yescharacteristic
195C22⋊#6923—42no—
196#11758217—42no—
197#11758217—42no—
198#11758217—42no—
199C2×#92420—21no—
200C2×#92420—21no—
201C2×#92420—21no—
202C2×#92420—21no—
203C2×#92420—42no—
204C2×#92420—42no—
205C2×#92420—42no—
206C2×#92420C2×D411yescharacteristic
207C2×#92420C2×D411yescharacteristic
208C2×#92420C2×D411yescharacteristic
209C2×#92420C2×D411yescharacteristic
210C4×#6923—21no—
211C4×#6923—21no—
212C4×#6923—21no—
213C4×#6923—21no—
214#11758213—21no—
215#11758213—21no—
216#11758213—21no—
217#11758213—21no—
218#11758213—21no—
219#11758213—21no—
220#11758213—42no—
221#11758213#4112yes—
222#11758213#4112yes—
223D61⋊C8—21no—
224D61⋊C8—21no—
225D61⋊C8—21no—
226D61⋊C8—21no—
227D61⋊C8—42no—
228D8×C61—41no—
229M16×C61—41no—
230C2×C8×C61C22×C411yescharacteristic
231C2×C8×C61C22×C411yescharacteristic
232C4⋊C4×C61C22×C411yescharacteristic
233C4⋊C4×C61C22×C411yescharacteristic
234C22⋊C4×C61—21no—
235C22⋊C4×C61—21no—
236C22⋊Dic61—21no—
237C22⋊Dic61—21no—
238C22⋊Dic61—21no—
239C22⋊Dic61—21no—
240#11758200—41no—
241#11758200—41no—
242#11758198—21no—
243#11758198—21no—
244#11758198—21no—
245#11758198—21no—
246C4⋊Dic61—21no—
247C4⋊Dic61—21no—
248C4⋊Dic61C22×C411yescharacteristic
249C4⋊Dic61C22×C411yescharacteristic
250#11758196—21no—
251#11758196—21no—
252C4×Dic61—21no—
253C4×Dic61—21no—
254#11758194—41no—
255C2×#92418C22×C411yescharacteristic
256C2×#92418C22×C411yescharacteristic
257Dic244—41no—
258#11758189—41no—
259#11758189—41no—
260C8×D61—21no—
261C8×D61—21no—
262C8×D61—21no—
263C8×D61—21no—
264C23×C61—21no—
265C23×C61—21no—
266C23×C61C4×D411yescharacteristic
267C22×D61—21no—
268C22×D61—21no—
269C22×D61—41no—
270C22×D61—41no—
271C22×D61C4×D411yescharacteristic
272C22×D61C2×#4111yescharacteristic
273C2×#6923—22no—
274C2×#6923—41no—
275C2×#6923—41no—
276C2×#6923—41no—
277C2×#6923—41no—
278C2×#6923—41no—
279D4×C61—21no—
280D4×C61—21no—
281D4×C61—21no—
282D4×C61—21no—
283D4×C61—42no—
284D4×C61—81no—
285C2×C4×C61—21no—
286C2×C4×C61—21no—
287C2×C4×C61—21no—
288C2×C4×C61—21no—
289C2×C4×C61C4×D411yescharacteristic
290C2×C4×C61C23×C411yescharacteristic
291C22⋊D61—42no—
292C22⋊D61—41no—
293C22⋊D61—41no—
294C22⋊D61—41no—
295C22⋊D61—41no—
296C22⋊D61—81no—
297C2×Dic61—21no—
298C2×Dic61—21no—
299C2×Dic61—21no—
300C2×Dic61—21no—
301C2×Dic61—21no—
302C2×Dic61—21no—
303C2×Dic61—41no—
304C2×Dic61—41no—
305C2×Dic61—41no—
306C2×Dic61—41no—
307C2×Dic61C4×D411yescharacteristic
308C2×Dic61C22×D411yescharacteristic
309C4×D61—21no—
310C4×D61—21no—
311C4×D61—21no—
312C4×D61—21no—
313C4×D61—21no—
314C4×D61—21no—
315C4×D61C2×#4111yescharacteristic
316C4×D61C2×#4111yescharacteristic
317C4×D61H(5,𝔽2)11yescharacteristic
318C4×D61H(5,𝔽2)11yescharacteristic
319Dic122—21no—
320Dic122—21no—
321Dic122—21no—
322Dic122—21no—
323#92420—21no—
324#92420—21no—
325#92420—21no—
326#92420—21no—
327#92420—22no—
328#92420—22no—
329#92420—41no—
330#92420—41no—
331C8×C61—21no—
332C8×C61—21no—
333#92418—21no—
334#92418—21no—
335#23148—611nomaximal, Sylow
336C22×C61—21no—
337C22×C61—21no—
338C22×C61—21no—
339C22×C61—41no—
340C22×C61—41no—
341C22×C61—41no—
342C22×C61—41no—
343C22×C61—41no—
344C22×C61—41no—
345C22×C61C2×C4×D411yescharacteristic
346C2×D61—21no—
347C2×D61—21no—
348C2×D61—21no—
349C2×D61—21no—
350C2×D61—21no—
351C2×D61—81no—
352C2×D61—81no—
353C2×D61#55311yescharacteristic
354C2×D61#55311yescharacteristic
355#6923—42no—
356#6923—81no—
357C4×C61—21no—
358C4×C61—41no—
359C4×C61—41no—
360C4×C61C4×#4111yescharacteristic
361C4×C61#51811yescharacteristic
362Dic61—21no—
363Dic61—41no—
364Dic61—41no—
365Dic61—41no—
366Dic61—41no—
367Dic61#54611yescharacteristic
368Dic61#54611yescharacteristic
369#3054—611no—
370#2933—611no—
371#2933—611no—
372#1938—611no—
373#1937—611no—
374#1922—611no—
375#1922—611no—
376#1876—611no—
377#1876—611no—
378#1871—611no—
379#1871—611no—
380#1765—611no—
381#1764—611no—
382#1753—611no—
383#1738—611no—
384C2×C61—41no—
385C2×C61—81no—
386C2×C61—81no—
387C2×C61#236411yescharacteristic
388C2×C61#295511yescharacteristic
389C2×C61#295611yescharacteristic
390D61—21no—
391D61—21no—
392D61—41no—
393C2×#135—611no—
394C2×#131—611no—
395C2×#131—611no—
396C22×M16—611no—
397C22×M16—611no—
398C22×M16—611no—
399#525—611no—
400#525—611no—
401#470—611no—
402#470—611no—
403#469—611no—
404#469#692311yescharacteristic, complemented
405#468—611no—
406#468—611no—
407#468—611no—
408#468—611no—
409#436—1221no—
410#436—1221no—
411#435—1221no—
412#435—1221no—
413#435—1221no—
414#435—1221no—
415C8×D4—1221no—
416C8×D4—1221no—
417#427—611no—
418#424—611no—
419#424—611no—
420C2×#104—611no—
421C2×#104—611no—
422C2×#104—611no—
423C2×#104—611no—
424#416—611no—
425#416—611no—
426#408—611no—
427#408—611no—
428C2×C22⋊C8—611no—
429#405—611no—
430#405—611no—
431C2×#97—611no—
432C2×C4×C8—611no—
433C4×C22⋊C4—611no—
434#341—611no—
435#341—611no—
436#341—611no—
437#341—611no—
438#339—611no—
439#339—611no—
440#339—611no—
441#339—611no—
442#336—611no—
443#336—611no—
444C61#2314811yescharacteristic, complemented, Sylow
445C2×#41—611no—
446C2×#41—611no—
447C23×C4—611no—
448#135—2441no—
449#135—2441no—
450C2×Q16—611no—
451C2×SD16—611no—
452C2×SD16—611no—
453C2×D8C2×#692311yescharacteristic
454#131—1222no—
455#131—1222no—
456#131—2441no—
457#131—2441no—
458C2×M16—611no—
459C2×M16—611no—
460C2×M16—611no—
461C2×M16—611no—
462C2×M16—611no—
463C2×M16—611no—
464C2×M16—611no—
465C2×M16—1221no—
466C2×M16—1221no—
467C2×M16—1221no—
468C2×M16—1221no—
469C2×M16—1222no—
470C2×M16—1222no—
471C2×M16—2441no—
472C2×M16—2441no—
473C2×M16—2441no—
474C2×M16—2441no—
475C2×M16C2×#692311yescharacteristic
476C22×C8—611no—
477C22×C8—611no—
478C22×C8—611no—
479C22×C8—611no—
480C22×C8—1221no—
481C22×C8—1221no—
482C22×C8—1221no—
483C22×C8—1221no—
484#123—1221no—
485#123—1221no—
486C22⋊Q8—611no—
487C22⋊Q8—611no—
488C22⋊Q8—611no—
489C22⋊Q8—611no—
490#121—611no—
491#121—611no—
492#121C2×#692311yescharacteristic
493#121C2×#692311yescharacteristic
494#120—1221no—
495#120—1221no—
496C4×D4—1221no—
497C4×D4—1221no—
498C4×D4—1221no—
499C4×D4—1221no—
500#117—611no—
501#117—611no—
502C2×C22⋊C4—1221no—
503C2×C42—611no—
504C2×C42—611no—
505#107—611no—
506#107—611no—
507#106—611no—
508#106C2×#692311yescharacteristic
509C4⋊C8—1221no—
510C4⋊C8—1221no—
511C4⋊C8—1221no—
512C4⋊C8—1221no—
513#104—1222no—
514#104—1222no—
515#104—2441no—
516#104—2441no—
517#103—611no—
518#103—611no—
519#103—611no—
520#103—611no—
521#102—611no—
522#102—611no—
523#102C2×#692311yescharacteristic
524#102C2×#692311yescharacteristic
525C22⋊C8—611no—
526C22⋊C8—611no—
527C22⋊C8—611no—
528C22⋊C8—611no—
529C22⋊C8—1221no—
530C22⋊C8—1221no—
531C22⋊C8—1221no—
532C22⋊C8—1221no—
533#97—1221no—
534#97—1221no—
535#97—2441no—
536C4×C8—1221no—
537C4×C8—1221no—
538C4×C8—2441no—
539#95—1221no—
540C24—611no—
541#41—1221no—
542#41—1221no—
543#41—1221no—
544#41—1221no—
545#41—1221no—
546#41—1221no—
547#41—1221no—
548#41—1221no—
549C2×Q8—611no—
550C2×Q8—611no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—1221no—
554C2×D4—1221no—
555C2×D4—1221no—
556C2×D4—1221no—
557C2×D4C22×#692311yescharacteristic
558C2×D4C22×#692311yescharacteristic
559C22×C4—611no—
560C22×C4—611no—
561C22×C4—611no—
562C22×C4—611no—
563C22×C4—611no—
564C22×C4—1221no—
565C22×C4—1221no—
566C22×C4—1221no—
567C22×C4—1221no—
568C22×C4—1221no—
569C22×C4—1221no—
570C22×C4—1221no—
571C22×C4—1221no—
572C22×C4C22×#692311yescharacteristic
573Q16—2441no—
574SD16—2441no—
575SD16—2441no—
576D8—41no—
577M16—41no—
578M16—612no—
579M16—612no—
580M16—1221no—
581M16—1221no—
582M16—1221no—
583M16—1221no—
584M16—1221no—
585M16—1221no—
586M16—2441no—
587M16—2441no—
588M16—2441no—
589M16—2442no—
590M16—2442no—
591M16—2442no—
592M16—2442no—
593C2×C8—611no—
594C2×C8—611no—
595C2×C8—611no—
596C2×C8—611no—
597C2×C8—611no—
598C2×C8—611no—
599C2×C8—1221no—
600C2×C8—1221no—
601C2×C8—1221no—
602C2×C8—1221no—
603C2×C8—1221no—
604C2×C8—1221no—
605C2×C8—1221no—
606C2×C8—1221no—
607C2×C8—1221no—
608C2×C8—1221no—
609C2×C8—1221no—
610C2×C8—1221no—
611C2×C8—2442no—
612C2×C8—2442no—
613C2×C8—2442no—
614C2×C8—2442no—
615C2×C8C22×#692311yescharacteristic
616C2×C8C22×#692311yescharacteristic
617C4⋊C4—611no—
618C4⋊C4—611no—
619C4⋊C4—1221no—
620C4⋊C4—1221no—
621C4⋊C4—1221no—
622C4⋊C4—1221no—
623C4⋊C4C22×#692311yescharacteristic
624C4⋊C4C22×#692311yescharacteristic
625C22⋊C4—21no—
626C22⋊C4—21no—
627C22⋊C4—1221no—
628C22⋊C4—1221no—
629C22⋊C4—1221no—
630C22⋊C4—1221no—
631C22⋊C4—1221no—
632C22⋊C4—1221no—
633C22⋊C4—1221no—
634C22⋊C4—1221no—
635C22⋊C4—2442no—
636C42—1221no—
637C42—1221no—
638C42—1221no—
639C42—1221no—
640C42—1221no—
641C42—1221no—
642C23—21no—
643C23—21no—
644C23—611no—
645C23—611no—
646C23—1221no—
647C23—1221no—
648C23—2441no—
649C23—2441no—
650C23D4×#692311yescharacteristic
651Q8—1221no—
652Q8—1221no—
653Q8—1221no—
654Q8—1221no—
655D4—21no—
656D4—21no—
657D4—21no—
658D4—21no—
659D4—42no—
660D4—81no—
661D4—4881no—
662D4—2441no—
663D4—2441no—
664D4—2441no—
665D4—2441no—
666D4—2442no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—611no—
672C2×C4—611no—
673C2×C4—611no—
674C2×C4—611no—
675C2×C4—611no—
676C2×C4—611no—
677C2×C4—1221no—
678C2×C4—1221no—
679C2×C4—1221no—
680C2×C4—1221no—
681C2×C4—1221no—
682C2×C4—1221no—
683C2×C4—1221no—
684C2×C4—1221no—
685C2×C4—1222no—
686C2×C4—1221no—
687C2×C4—1221no—
688C2×C4—1221no—
689C2×C4—1221no—
690C2×C4—2441no—
691C2×C4—2441no—
692C2×C4—2441no—
693C2×C4—2441no—
694C2×C4—2441no—
695C2×C4—2441no—
696C2×C4—2441no—
697C2×C4—2441no—
698C2×C4—2441no—
699C2×C4D4×#692311yescharacteristic
700C2×C4C23×#692311yescharacteristic
701C8—21no—
702C8—21no—
703C8—1221no—
704C8—1221no—
705C8—1221no—
706C8—1221no—
707C8—1222no—
708C8—1222no—
709C8—1221no—
710C8—1221no—
711C8—2441no—
712C8—2441no—
713C22—21no—
714C22—21no—
715C22—21no—
716C22—41no—
717C22—41no—
718C22—41no—
719C22—41no—
720C22—41no—
721C22—41no—
722C22—611no—
723C22—611no—
724C22—1221no—
725C22—1221no—
726C22—1221no—
727C22—1221no—
728C22—1221no—
729C22—4881no—
730C22—4881no—
731C22C2×D4×#692311yescharacteristic
732C4—21no—
733C4—41no—
734C4—41no—
735C4—611no—
736C4—611no—
737C4—1221no—
738C4—4881no—
739C4—2442no—
740C4—2441no—
741C4—2441no—
742C4—2441no—
743C4—2441no—
744C4#41×#692311yescharacteristic
745C4#1684082911yescharacteristic
746C2—41no—
747C2—81no—
748C2—81no—
749C2—1221no—
750C2—1221no—
751C2—2441no—
752C2#2146234711yescharacteristic
753C2#2146259111yescharacteristic
754C2#2146259311yescharacteristic
subgroupG/H
centerC22C2×D4×#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#469C4
socleC22×C61C2×C4×D4
prime radical#21455426C2
cosocleC2×C4×D61C24
hypercenter#469#6923
hypocenterC61#23148
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C22×C4 ◁ #469

Complements

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

NH ≅ G/Ntype
1. #21462550C2semidirect
2. #21462549C2semidirect
3. #21461915C2semidirect
4. #21461913C2semidirect
5. #21461886C2semidirect
6. #21461886C2semidirect
7. #21461810C2semidirect
8. #21461810C2semidirect
9. #21461803C2semidirect
10. #21461802C2semidirect
11. #21461598C2semidirect
12. #21461594C2semidirect
13. #21461559C2semidirect
14. #21461513C2semidirect
56. #16840021C4semidirect
57. #16840020C4semidirect
58. #16840012C4semidirect
59. #16840007C4semidirect
60. #16840007C4semidirect
61. #16840006C4semidirect
62. #16840006C4semidirect
66. C61×#469C4semidirect
404. #469#6923semidirect
444. C61#23148semidirect

Maximal subgroups

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

subgroupindex
#214625502
#214625492
#214619152
#214619132
#214618862
#214618102
#214618032
#214618022
#214615982
#214615942
#214615592
#214615132
#214554262
#2314861