Finite Group Databasebeta

← #30622365

Subgroups — #30622365

Order 15616.

798 conjugacy classes of subgroups.

The subgroup lattice has 738 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21462353C211yesmaximal, characteristic, complemented
2#21462337C211yesmaximal, characteristic
3#21462002C211yesmaximal, characteristic, complemented
4#21461930C211yesmaximal, characteristic, complemented
5#21461911C211yesmaximal, characteristic
6#21461909C211yesmaximal, characteristic
7#21461896C211yesmaximal, characteristic
8#21461896C211yesmaximal, characteristic
9#21461883C211yesmaximal, characteristic, complemented
10#21461882C211yesmaximal, characteristic, complemented
11#21461635C211yesmaximal, characteristic, complemented
12#107×#6923C211yesmaximal, characteristic, complemented
13#21461620C211yesmaximal, characteristic, complemented
14#21461589C211yesmaximal, characteristic
15#478×D61C211yesmaximal, characteristic
16C2×#14519856—21no—
17C2×#14519846C2211yescharacteristic
18C2×#14519846C2211yescharacteristic
19C2×#14519839C2211yescharacteristic
20C2×#14519839C2211yescharacteristic
21#16840721C2211yescharacteristic
22C2×#14519831C2211yescharacteristic
23C2×C8×#6923C2211yescharacteristic
24#16840714C2211yescharacteristic
25#16840714C2211yescharacteristic
26#16840713—21no—
27#16840713C2211yescharacteristic
28#16840713C2211yescharacteristic
29#16840712—21no—
30#16840712—21no—
31#16840711—21no—
32#16840711—21no—
33#16840708C2211yescharacteristic
34#16840704—21no—
35C4⋊C4×#6923—21no—
36C4⋊C4×#6923C2211yescharacteristic
37C4⋊C4×#6923C2211yescharacteristic
38C4⋊C4×#6923C2211yescharacteristic
39C4⋊C4×#6923C2211yescharacteristic
40C4×C4⋊#6923C2211yescharacteristic
41C4×C4⋊#6923C2211yescharacteristic
42#16840636C2211yescharacteristic
43#16840636C2211yescharacteristic
44#16840635C2211yescharacteristic
45#16840635C2211yescharacteristic
46#16840635C2211yescharacteristic
47#16840635C2211yescharacteristic
48#16840635C2211yescharacteristic
49#16840635C2211yescharacteristic
50(C2×#6923)⋊C8C2211yescharacteristic
51(C2×#6923)⋊C8C2211yescharacteristic
52#125×D61C2211yescharacteristic
53C4×D4×D61C2211yescharacteristic
54#16840065C411yescharacteristic, complemented
55#16840064C411yescharacteristic, complemented
56#16840063C411yescharacteristic, complemented
57#16840062C411yescharacteristic, complemented
58#16840061C411yescharacteristic, complemented
59#16840060C411yescharacteristic, complemented
60#16840059C411yescharacteristic, complemented
61#107×D61C2211yescharacteristic
62#106×D61C2211yescharacteristic
63C4⋊C8×D61C2211yescharacteristic
64#102×D61C2211yescharacteristic
65#102×D61C2211yescharacteristic
66C61×#478C411yescharacteristic, complemented
67C2×D61⋊C8C2311yescharacteristic
68C2×D61⋊C8C2311yescharacteristic
69#14519856—44no—
70C2×C4⋊#6923—21no—
71C2×C4⋊#6923—21no—
72C2×C4⋊#6923—21no—
73C2×C4⋊#6923—21no—
74C2×C4⋊#6923D411yescharacteristic
75C2×C4⋊#6923D411yescharacteristic
76C2×C4⋊#6923C2311yescharacteristic
77C2×C4⋊#6923C2311yescharacteristic
78C2×C4⋊#6923C2311yescharacteristic
79C2×C4⋊#6923C2311yescharacteristic
80C2×C22⋊#6923—21no—
81C2×C22⋊#6923—21no—
82C2×C22⋊#6923—21no—
83C2×C22⋊#6923—21no—
84C2×C4×#6923—21no—
85C2×C4×#6923—21no—
86C2×C4×#6923—21no—
87C2×C4×#6923—21no—
88C2×C4×#6923—21no—
89C2×C4×#6923C2311yescharacteristic
90C2×C4×#6923C2311yescharacteristic
91#14519846—22no—
92#14519846—22no—
93#14519839—22no—
94#14519839—22no—
95#14519832—21no—
96#14519832—21no—
97#14519831—22no—
98C8×#6923—22no—
99(C2×#6923)⋊C4—21no—
100(C2×#6923)⋊C4—21no—
101(C2×#6923)⋊C4—21no—
102(C2×#6923)⋊C4—21no—
103(C2×#6923)⋊C4—21no—
104(C2×#6923)⋊C4—21no—
105(C2×#6923)⋊C4—21no—
106(C2×#6923)⋊C4D411yescharacteristic
107(C2×#6923)⋊C4D411yescharacteristic
108C2×D4×D61C2311yescharacteristic
109C22×C4×D61—21no—
110C2×C8×D61C2311yescharacteristic
111C2×C8×D61C2311yescharacteristic
112#14519769C2×C411yescharacteristic
113#14519768C2×C411yescharacteristic
114#14519768C2×C411yescharacteristic
115#14519767—21no—
116#14519767—21no—
117C4×D244C2×C411yescharacteristic
118D4×Dic61C2×C411yescharacteristic
119#14519739C2×C411yescharacteristic
120C4×C22⋊D61—21no—
121#14519737—21no—
122C4⋊C4×D61—21no—
123C4⋊C4×D61—21no—
124C4⋊C4×D61C2311yescharacteristic
125C4⋊C4×D61C2311yescharacteristic
126C4⋊C4×D61C2311yescharacteristic
127C22⋊C4×D61—21no—
128C42×D61C2311yescharacteristic
129#14519711C2×C411yescharacteristic
130#14519710C2×C411yescharacteristic
131#14519710C2×C411yescharacteristic
132#14519709C2×C411yescharacteristic
133#14519708C2×C411yescharacteristic
134#14519708C2×C411yescharacteristic
135C4⋊#92418C2×C411yescharacteristic
136#14519706C2×C411yescharacteristic
137#14519706C2×C411yescharacteristic
138#14519699C2×C411yescharacteristic
139#14519699C2×C411yescharacteristic
140#14519698C2×C411yescharacteristic
141#14519698C2×C411yescharacteristic
142#14519697C2×C411yescharacteristic
143#14519697C2×C411yescharacteristic
144#125×C61C2×C411yescharacteristic
145C4×D4×C61C2×C411yescharacteristic
146#107×C61C2×C411yescharacteristic
147#106×C61C2×C411yescharacteristic
148C4⋊C8×C61C2×C411yescharacteristic
149#102×C61C2×C411yescharacteristic
150#102×C61C2×C411yescharacteristic
151C23×D61—21no—
152C22×#6923—21no—
153C22×#6923—21no—
154C22×#6923—21no—
155C22×#6923—21no—
156C22×#6923C2×D411yescharacteristic
157C22×#6923C2×D411yescharacteristic
158C22×#6923C2×D411yescharacteristic
159C22×#6923C2×D411yescharacteristic
160C2×D4×C61C22×C411yescharacteristic
161C22×C4×C61—21no—
162C2×C22⋊D61—21no—
163C22×Dic61—21no—
164D4×D61—21no—
165D4×D61—21no—
166D4×D61—21no—
167D4×D61—21no—
168C2×D244C22×C411yescharacteristic
169C2×C4×D61—21no—
170C2×C4×D61—21no—
171C2×C4×D61—21no—
172C2×C4×D61—21no—
173C2×C4×D61—21no—
174C2×C4×D61—42no—
175C2×C4×D61—42no—
176C2×C4×D61C2×D411yescharacteristic
177C2×C4×D61C2×D411yescharacteristic
178C2×C4×D61C2411yescharacteristic
179C22⋊#6923—42no—
180C22⋊#6923—42no—
181C22⋊#6923—81no—
182C22⋊#6923—81no—
183C2×#92420—21no—
184C2×#92420—21no—
185C4⋊#6923—22no—
186C4⋊#6923—21no—
187C4⋊#6923—21no—
188C4⋊#6923—21no—
189C4⋊#6923—21no—
190C4⋊#6923—21no—
191C4⋊#6923—21no—
192C4⋊#6923—21no—
193C4⋊#6923—41no—
194C4⋊#6923—42no—
195C4⋊#6923—42no—
196C4⋊#6923—81no—
197C4⋊#6923—81no—
198C4⋊#6923#4112yes—
199C4×#6923—21no—
200C4×#6923—21no—
201C4×#6923—21no—
202C4×#6923—21no—
203C4×#6923—42no—
204C4×#6923—42no—
205C4×#6923—42no—
206C4×#6923—81no—
207C4×#6923—81no—
208D61⋊C8—21no—
209D61⋊C8—21no—
210D61⋊C8—21no—
211D61⋊C8#4112yes—
212C2×C8×C61C22×C411yescharacteristic
213C2×C8×C61C22×C411yescharacteristic
214C4⋊C4×C61—21no—
215C4⋊C4×C61—21no—
216C4⋊C4×C61C22×C411yescharacteristic
217C4⋊C4×C61C22×C411yescharacteristic
218C4⋊C4×C61C22×C411yescharacteristic
219C22⋊C4×C61—21no—
220C42×C61C22×C411yescharacteristic
221C22⋊Dic61—21no—
222#11758198—21no—
223#11758198—21no—
224C4⋊Dic61—21no—
225C4⋊Dic61—21no—
226C4⋊Dic61C22×C411yescharacteristic
227C4⋊Dic61C22×C411yescharacteristic
228C4⋊Dic61C22×C411yescharacteristic
229#11758196—21no—
230#11758196—21no—
231#11758196—21no—
232#11758196—21no—
233#11758196—21no—
234#11758196—21no—
235#11758196—21no—
236C4×Dic61C22×C411yescharacteristic
237C4×Dic61#4111yescharacteristic
238C4×Dic61#4111yescharacteristic
239C2×#92418C22×C411yescharacteristic
240C2×#92418C22×C411yescharacteristic
241C8×D61—21no—
242C8×D61—21no—
243C8×D61—21no—
244C8×D61—21no—
245C23×C61—21no—
246C22×D61—21no—
247C22×D61—41no—
248C22×D61—41no—
249C22×D61—41no—
250C22×D61—41no—
251C22×D61—41no—
252C22×D61—41no—
253C22×D61C22×D411yescharacteristic
254C2×#6923—21no—
255C2×#6923—21no—
256C2×#6923—21no—
257C2×#6923—21no—
258C2×#6923—21no—
259C2×#6923—22no—
260C2×#6923—21no—
261C2×#6923—21no—
262C2×#6923—21no—
263C2×#6923—21no—
264C2×#6923—21no—
265C2×#6923—21no—
266C2×#6923—41no—
267C2×#6923—41no—
268C2×#6923—41no—
269C2×#6923—41no—
270C2×#6923—41no—
271C2×#6923—41no—
272C2×#6923—41no—
273C2×#6923—41no—
274C2×#6923—41no—
275C2×#6923—41no—
276C2×#6923—41no—
277C2×#6923AGL(1,ℤ/8)12yes—
278D4×C61—21no—
279D4×C61—21no—
280C2×C4×C61—21no—
281C2×C4×C61—21no—
282C2×C4×C61—21no—
283C2×C4×C61—42no—
284C2×C4×C61C4×D411yescharacteristic
285C2×C4×C61C4×D411yescharacteristic
286C2×C4×C61C23×C411yescharacteristic
287C22⋊D61—41no—
288C22⋊D61—41no—
289C2×Dic61—21no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—42no—
293C2×Dic61C4×D411yescharacteristic
294C2×Dic61C4×D411yescharacteristic
295C2×Dic61C2×#4111yescharacteristic
296D244—21no—
297D244—21no—
298C4×D61—21no—
299C4×D61—21no—
300C4×D61—21no—
301C4×D61—21no—
302C4×D61—42no—
303C4×D61—42no—
304C4×D61—41no—
305C4×D61—41no—
306C4×D61—41no—
307C4×D61—41no—
308C4×D61—41no—
309C4×D61—41no—
310C4×D61C2×#4111yescharacteristic
311C4×D61C2×#4111yescharacteristic
312C4×D612−1+411yescharacteristic
313C4×D612−1+411yescharacteristic
314#92420—22no—
315#92420—41no—
316C8×C61—21no—
317C8×C61—21no—
318#92418—21no—
319#92418—21no—
320#23076—611nomaximal, Sylow
321C22×C61—41no—
322C22×C61—41no—
323C22×C61—41no—
324C22×C61C2×C4×D411yescharacteristic
325C2×D61—41no—
326C2×D61—41no—
327C2×D61—41no—
328C2×D61—81no—
329C2×D61—81no—
330C2×D61—81no—
331C2×D61—81no—
332C2×D61#54711yescharacteristic
333C2×D61#54811yescharacteristic
334C2×D61C2×AGL(1,ℤ/8)11yescharacteristic
335C2×D61#57511yescharacteristic
336C2×D61#57611yescharacteristic
337C2×D61#57811yescharacteristic
338#6923—22no—
339#6923—41no—
340#6923—41no—
341#6923—41no—
342#6923—42no—
343#6923—81no—
344#6923—81no—
345#6923—81no—
346C4×C61—21no—
347C4×C61—21no—
348C4×C61—41no—
349C4×C61—41no—
350C4×C61—41no—
351C4×C61C4×#4111yescharacteristic
352C4×C61#51911yescharacteristic
353Dic61—21no—
354Dic61—21no—
355Dic61—41no—
356Dic61—41no—
357Dic61—41no—
358Dic61#55211yescharacteristic
359Dic61#55611yescharacteristic
360C2×#478—611no—
361#2370—611no—
362#2354—611no—
363#1992—611no—
364#1947—611no—
365#1936—611no—
366#1934—611no—
367#1925—611no—
368#1925—611no—
369#1921—611no—
370#1920—611no—
371#1776—611no—
372C4×#107—611no—
373#1771—611no—
374#1762—611no—
375C2×C61—81no—
376C2×C61#236211yescharacteristic
377C2×C61C4×AGL(1,ℤ/8)11yescharacteristic
378C2×C61#295111yescharacteristic
379D61—81no—
380D61#334311yescharacteristic
381D61#334711yescharacteristic
382D61#336611yescharacteristic
383D61#337711yescharacteristic
384C2×#125—611no—
385C2×C4×D4—611no—
386C2×#117—1221no—
387#478—611no—
388#478—611no—
389#478—611no—
390#478—611no—
391#478—611no—
392#478—611no—
393#478—611no—
394#478#692311yescharacteristic, complemented
395C2×#107—611no—
396C2×#107—611no—
397C2×#107—611no—
398C2×#106—611no—
399C2×C4⋊C8—611no—
400C2×#102—611no—
401C2×#102—611no—
402C2×#102—611no—
403C2×#102—611no—
404C2×#97—611no—
405C2×#97—611no—
406C2×C4×C8—611no—
407#390—611no—
408#390—611no—
409#389—611no—
410#389—611no—
411#389—1221no—
412#388—1221no—
413#388—1221no—
414#387—1221no—
415#387—1221no—
416#384—611no—
417#380—1221no—
418C4×C4⋊C4—611no—
419C4×C4⋊C4—611no—
420C4×C4⋊C4—611no—
421C4×C4⋊C4—611no—
422C4×C4⋊C4—611no—
423C4×C4⋊C4—611no—
424C4×C4⋊C4—1221no—
425#340—611no—
426#340—611no—
427#340—611no—
428#340—611no—
429#340—611no—
430#340—611no—
431#340—611no—
432#340—611no—
433#336—611no—
434#336—611no—
435C61#2307611yescharacteristic, complemented, Sylow
436C22×D4—611no—
437C23×C4—1221no—
438C22×C8—611no—
439C22×C8—611no—
440C22×C8—611no—
441C22×C8—611no—
442#125—611no—
443#125—611no—
444#125—611no—
445#125—1221no—
446#125—1221no—
447#125C2×#692311yescharacteristic
448C4×D4—611no—
449C4×D4—611no—
450C4×D4—611no—
451C4×D4—1221no—
452C4×D4—1221no—
453C4×D4C2×#692311yescharacteristic
454#117—2444no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—611no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—611no—
461C2×C4⋊C4—611no—
462C2×C4⋊C4—611no—
463C2×C4⋊C4—611no—
464C2×C4⋊C4—1221no—
465C2×C4⋊C4—1221no—
466C2×C4⋊C4—1221no—
467C2×C4⋊C4—1221no—
468C2×C4⋊C4—1221no—
469C2×C4⋊C4—1221no—
470C2×C22⋊C4—1221no—
471C2×C22⋊C4—1221no—
472C2×C22⋊C4—1221no—
473C2×C22⋊C4—1221no—
474C2×C22⋊C4—1221no—
475C2×C42—611no—
476C2×C42—611no—
477C2×C42—611no—
478C2×C42—1221no—
479C2×C42—1221no—
480C2×C42—1221no—
481C2×C42—1221no—
482C2×C42—1221no—
483#107—611no—
484#107—611no—
485#107—611no—
486#107—1222no—
487#107—1222no—
488#107C2×#692311yescharacteristic
489#106—611no—
490#106—611no—
491#106—611no—
492#106C2×#692311yescharacteristic
493C4⋊C8—611no—
494C4⋊C8—611no—
495C4⋊C8—611no—
496C4⋊C8C2×#692311yescharacteristic
497#102—611no—
498#102—611no—
499#102—611no—
500#102—611no—
501#102—611no—
502#102—611no—
503#102—1222no—
504#102—1222no—
505#102C2×#692311yescharacteristic
506#102C2×#692311yescharacteristic
507#97—1221no—
508#97—1221no—
509#97—1222no—
510C4×C8—1222no—
511#95—611no—
512#95—611no—
513#95—1221no—
514#95—1221no—
515#95—1221no—
516#95—1221no—
517#95—1221no—
518#95—1221no—
519#95—1221no—
520C24—1221no—
521C2×D4—611no—
522C2×D4—1221no—
523C2×D4—1221no—
524C2×D4—1221no—
525C2×D4—1221no—
526C2×D4—1221no—
527C2×D4C22×#692311yescharacteristic
528C22×C4—21no—
529C22×C4—611no—
530C22×C4—611no—
531C22×C4—611no—
532C22×C4—611no—
533C22×C4—611no—
534C22×C4—611no—
535C22×C4—611no—
536C22×C4—1221no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4—1221no—
540C22×C4—1221no—
541C22×C4—1221no—
542C22×C4—1221no—
543C22×C4—1221no—
544C22×C4—1221no—
545C22×C4—1221no—
546C22×C4—2442no—
547C22×C4—2442no—
548C2×C8—612no—
549C2×C8—611no—
550C2×C8—611no—
551C2×C8—1221no—
552C2×C8—1221no—
553C2×C8—1221no—
554C2×C8—1221no—
555C2×C8—1221no—
556C2×C8—1221no—
557C2×C8—1221no—
558C2×C8—1221no—
559C2×C8—1221no—
560C2×C8C22×#692311yescharacteristic
561C2×C8C22×#692311yescharacteristic
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—612no—
565C4⋊C4—611no—
566C4⋊C4—611no—
567C4⋊C4—611no—
568C4⋊C4—1221no—
569C4⋊C4—1221no—
570C4⋊C4—1221no—
571C4⋊C4—1221no—
572C4⋊C4—1221no—
573C4⋊C4—1221no—
574C4⋊C4—1221no—
575C4⋊C4—1222no—
576C4⋊C4—1221no—
577C4⋊C4—1221no—
578C4⋊C4—1221no—
579C4⋊C4—1221no—
580C4⋊C4—1221no—
581C4⋊C4—1221no—
582C4⋊C4—1221no—
583C4⋊C4—1221no—
584C4⋊C4—1221no—
585C4⋊C4—4881no—
586C4⋊C4—4881no—
587C4⋊C4—2441no—
588C4⋊C4—2442no—
589C4⋊C4—2442no—
590C4⋊C4C22×#692311yescharacteristic
591C4⋊C4C22×#692311yescharacteristic
592C4⋊C4C22×#692311yescharacteristic
593C22⋊C4—21no—
594C22⋊C4—1221no—
595C22⋊C4—1221no—
596C22⋊C4—1221no—
597C22⋊C4—4881no—
598C22⋊C4—4881no—
599C22⋊C4—2442no—
600C22⋊C4—2442no—
601C42—611no—
602C42—611no—
603C42—611no—
604C42—1221no—
605C42—1221no—
606C42—1221no—
607C42—1221no—
608C42—4881no—
609C42—4881no—
610C42—2442no—
611C42—2442no—
612C42—2442no—
613C42C22×#692311yescharacteristic
614C23—21no—
615C23—611no—
616C23—1221no—
617C23—2441no—
618C23—2441no—
619C23—2441no—
620C23—2441no—
621C23—2441no—
622C23—2441no—
623D4—21no—
624D4—21no—
625D4—1221no—
626D4—1221no—
627D4—2441no—
628D4—2441no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—42no—
633C2×C4—611no—
634C2×C4—611no—
635C2×C4—611no—
636C2×C4—611no—
637C2×C4—611no—
638C2×C4—612no—
639C2×C4—611no—
640C2×C4—611no—
641C2×C4—1221no—
642C2×C4—1221no—
643C2×C4—1221no—
644C2×C4—1221no—
645C2×C4—1221no—
646C2×C4—1221no—
647C2×C4—1221no—
648C2×C4—1221no—
649C2×C4—1221no—
650C2×C4—1221no—
651C2×C4—1221no—
652C2×C4—1221no—
653C2×C4—1222no—
654C2×C4—1221no—
655C2×C4—1221no—
656C2×C4—1221no—
657C2×C4—1221no—
658C2×C4—1221no—
659C2×C4—1221no—
660C2×C4—2442no—
661C2×C4—2442no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4—2441no—
668C2×C4—2442no—
669C2×C4—2441no—
670C2×C4—2441no—
671C2×C4—2441no—
672C2×C4—2441no—
673C2×C4—2441no—
674C2×C4—2441no—
675C2×C4—2441no—
676C2×C4—2441no—
677C2×C4—2441no—
678C2×C4—2441no—
679C2×C4—2441no—
680C2×C4D4×#692311yescharacteristic
681C2×C4D4×#692311yescharacteristic
682C2×C4C23×#692311yescharacteristic
683C8—21no—
684C8—21no—
685C8—1222no—
686C8—1221no—
687C8—1221no—
688C8—2441no—
689C22—41no—
690C22—41no—
691C22—41no—
692C22—611no—
693C22—611no—
694C22—611no—
695C22—611no—
696C22—611no—
697C22—611no—
698C22—4881no—
699C22—4881no—
700C22—4881no—
701C22—4881no—
702C22—2441no—
703C22—2441no—
704C22—2441no—
705C22C2×D4×#692311yescharacteristic
706C4—21no—
707C4—21no—
708C4—41no—
709C4—41no—
710C4—41no—
711C4—611no—
712C4—611no—
713C4—1222no—
714C4—1221no—
715C4—1221no—
716C4—4881no—
717C4—4881no—
718C4—4881no—
719C4—2441no—
720C4—2441no—
721C4—2441no—
722C4—2442no—
723C4—2441no—
724C4—2441no—
725C4—2441no—
726C4#41×#692311yescharacteristic
727C4#1684083011yescharacteristic
728C2—81no—
729C2—611no—
730C2—611no—
731C2—611no—
732C2—611no—
733C2—4881no—
734C2#2146234511yescharacteristic
735C2AGL(1,ℤ/8)×#692311yescharacteristic
736C2#2146258111yescharacteristic
subgroupG/H
centerC22C2×D4×#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#478C4
socleC22×C61C2×C4×D4
prime radicalC2×D4×D61C23
cosocleC2×C4×D61C24
hypercenter#478#6923
hypocenterC61#23076
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C42 ◁ #478

Complements

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

NH ≅ G/Ntype
1. #21462353C2semidirect
3. #21462002C2semidirect
4. #21461930C2semidirect
9. #21461883C2semidirect
10. #21461882C2semidirect
11. #21461635C2semidirect
12. #107×#6923C2semidirect
13. #21461620C2semidirect
54. #16840065C4semidirect
55. #16840064C4semidirect
56. #16840063C4semidirect
57. #16840062C4semidirect
58. #16840061C4semidirect
59. #16840060C4semidirect
60. #16840059C4semidirect
66. C61×#478C4semidirect
394. #478#6923semidirect
435. C61#23076semidirect

Maximal subgroups

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

subgroupindex
#214623532
#214623372
#214620022
#214619302
#214619112
#214619092
#214618962
#214618832
#214618822
#214616352
#107×#69232
#214616202
#214615892
#478×D612
#2307661