Finite Group Databasebeta

← #30622360

Subgroups — #30622360

Order 15616.

762 conjugacy classes of subgroups.

The subgroup lattice has 732 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21462353C211yesmaximal, characteristic, complemented
2#21462340C211yesmaximal, characteristic
3#21462001C211yesmaximal, characteristic, complemented
4#21461932C211yesmaximal, characteristic, complemented
5#21461911C211yesmaximal, characteristic
6#21461911C211yesmaximal, characteristic
7#21461897C211yesmaximal, characteristic
8#21461896C211yesmaximal, characteristic
9#21461882C211yesmaximal, characteristic, complemented
10#21461880C211yesmaximal, characteristic, complemented
11#21461635C211yesmaximal, characteristic, complemented
12#21461634C211yesmaximal, characteristic, complemented
13#21461616C211yesmaximal, characteristic, complemented
14C4×#14519839C211yesmaximal, characteristic
15#478×D61C211yesmaximal, characteristic
16C2×#14519846C2211yescharacteristic
17C2×#14519845C2211yescharacteristic
18C2×#14519839C2211yescharacteristic
19C2×#14519839C2211yescharacteristic
20C2×#14519831C2211yescharacteristic
21C2×#14519831C2211yescharacteristic
22C4×D61⋊C8C2211yescharacteristic
23#16840714C2211yescharacteristic
24#16840714C2211yescharacteristic
25#16840713—21no—
26#16840713C2211yescharacteristic
27#16840713C2211yescharacteristic
28#16840712—21no—
29#16840712—21no—
30#16840711—21no—
31#16840711—21no—
32#16840706C2211yescharacteristic
33#16840705—21no—
34C4⋊C4×#6923—21no—
35C4⋊C4×#6923C2211yescharacteristic
36C4⋊C4×#6923C2211yescharacteristic
37C4⋊C4×#6923C2211yescharacteristic
38C4⋊C4×#6923C2211yescharacteristic
39C4×C4⋊#6923C2211yescharacteristic
40C4×C4⋊#6923C2211yescharacteristic
41C4×C22⋊#6923—21no—
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
69C2×C4⋊#6923—21no—
70C2×C4⋊#6923—21no—
71C2×C4⋊#6923D411yescharacteristic
72C2×C4⋊#6923D411yescharacteristic
73C2×C4⋊#6923C2311yescharacteristic
74C2×C4⋊#6923C2311yescharacteristic
75C2×C4⋊#6923C2311yescharacteristic
76C2×C4⋊#6923C2311yescharacteristic
77C2×C22⋊#6923—21no—
78C2×C22⋊#6923—21no—
79C2×C22⋊#6923—21no—
80C2×C22⋊#6923—21no—
81C2×C4×#6923—21no—
82C2×C4×#6923—21no—
83C2×C4×#6923—21no—
84C2×C4×#6923—21no—
85C2×C4×#6923—21no—
86C2×C4×#6923C2311yescharacteristic
87C2×C4×#6923C2311yescharacteristic
88#14519846—22no—
89#14519845—22no—
90#14519839—22no—
91#14519839—22no—
92#14519831—22no—
93#14519831—22no—
94C4×#92420—21no—
95C4×#92420—21no—
96(C2×#6923)⋊C4—21no—
97(C2×#6923)⋊C4—21no—
98(C2×#6923)⋊C4—21no—
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)⋊C4D411yescharacteristic
106(C2×#6923)⋊C4D411yescharacteristic
107C2×D4×D61C2311yescharacteristic
108C22×C4×D61—21no—
109C2×C8×D61C2311yescharacteristic
110C2×C8×D61C2311yescharacteristic
111#14519769C2×C411yescharacteristic
112#14519768C2×C411yescharacteristic
113#14519768C2×C411yescharacteristic
114#14519767—21no—
115#14519767—21no—
116C4×D244C2×C411yescharacteristic
117D4×Dic61C2×C411yescharacteristic
118#14519739C2×C411yescharacteristic
119C4×C22⋊D61—21no—
120#14519737—21no—
121C4⋊C4×D61—21no—
122C4⋊C4×D61—21no—
123C4⋊C4×D61C2311yescharacteristic
124C4⋊C4×D61C2311yescharacteristic
125C4⋊C4×D61C2311yescharacteristic
126C22⋊C4×D61—21no—
127C42×D61C2311yescharacteristic
128#14519711C2×C411yescharacteristic
129#14519710C2×C411yescharacteristic
130#14519710C2×C411yescharacteristic
131#14519709C2×C411yescharacteristic
132#14519708C2×C411yescharacteristic
133#14519708C2×C411yescharacteristic
134C4⋊#92418C2×C411yescharacteristic
135#14519706C2×C411yescharacteristic
136#14519706C2×C411yescharacteristic
137#14519699C2×C411yescharacteristic
138#14519699C2×C411yescharacteristic
139#14519698C2×C411yescharacteristic
140#14519698C2×C411yescharacteristic
141#14519697C2×C411yescharacteristic
142#14519697C2×C411yescharacteristic
143#125×C61C2×C411yescharacteristic
144C4×D4×C61C2×C411yescharacteristic
145#107×C61C2×C411yescharacteristic
146#106×C61C2×C411yescharacteristic
147C4⋊C8×C61C2×C411yescharacteristic
148#102×C61C2×C411yescharacteristic
149#102×C61C2×C411yescharacteristic
150C23×D61—21no—
151C22×#6923—21no—
152C22×#6923—21no—
153C22×#6923—21no—
154C22×#6923—21no—
155C22×#6923C2×D411yescharacteristic
156C22×#6923C2×D411yescharacteristic
157C22×#6923C2×D411yescharacteristic
158C22×#6923C2×D411yescharacteristic
159C2×D4×C61C22×C411yescharacteristic
160C22×C4×C61—21no—
161C2×C22⋊D61—21no—
162C22×Dic61—21no—
163D4×D61—21no—
164D4×D61—21no—
165D4×D61—21no—
166D4×D61—21no—
167C2×D244C22×C411yescharacteristic
168C2×C4×D61—21no—
169C2×C4×D61—21no—
170C2×C4×D61—21no—
171C2×C4×D61—21no—
172C2×C4×D61—21no—
173C2×C4×D61—81no—
174C2×C4×D61—81no—
175C2×C4×D61C2×D411yescharacteristic
176C2×C4×D61C2×D411yescharacteristic
177C2×C4×D61C2411yescharacteristic
178C22⋊#6923—42no—
179C22⋊#6923—42no—
180C22⋊#6923—81no—
181C22⋊#6923—81no—
182C2×#92420—21no—
183C2×#92420—21no—
184C4⋊#6923—21no—
185C4⋊#6923—21no—
186C4⋊#6923—21no—
187C4⋊#6923—21no—
188C4⋊#6923—21no—
189C4⋊#6923—21no—
190C4⋊#6923—21no—
191C4⋊#6923—41no—
192C4⋊#6923—41no—
193C4⋊#6923—42no—
194C4⋊#6923—81no—
195C4⋊#6923#4112yes—
196C4×#6923—21no—
197C4×#6923—21no—
198C4×#6923—21no—
199C4×#6923—21no—
200C4×#6923—42no—
201C4×#6923—81no—
202C4×#6923—81no—
203C4×#6923—81no—
204C4×#6923—81no—
205D61⋊C8—21no—
206D61⋊C8—21no—
207D61⋊C8—21no—
208D61⋊C8#4112yes—
209C2×C8×C61C22×C411yescharacteristic
210C2×C8×C61C22×C411yescharacteristic
211C4⋊C4×C61—21no—
212C4⋊C4×C61—21no—
213C4⋊C4×C61C22×C411yescharacteristic
214C4⋊C4×C61C22×C411yescharacteristic
215C4⋊C4×C61C22×C411yescharacteristic
216C22⋊C4×C61—21no—
217C42×C61C22×C411yescharacteristic
218C22⋊Dic61—21no—
219#11758198—21no—
220#11758198—21no—
221C4⋊Dic61—21no—
222C4⋊Dic61—21no—
223C4⋊Dic61C22×C411yescharacteristic
224C4⋊Dic61C22×C411yescharacteristic
225C4⋊Dic61C22×C411yescharacteristic
226#11758196—21no—
227#11758196—21no—
228#11758196—21no—
229#11758196—21no—
230#11758196—21no—
231#11758196—21no—
232#11758196—21no—
233C4×Dic61C22×C411yescharacteristic
234C4×Dic61#4111yescharacteristic
235C4×Dic61#4111yescharacteristic
236C2×#92418C22×C411yescharacteristic
237C2×#92418C22×C411yescharacteristic
238C8×D61—21no—
239C8×D61—21no—
240C8×D61—21no—
241C8×D61—21no—
242C23×C61—21no—
243C22×D61—21no—
244C22×D61—41no—
245C22×D61—41no—
246C22×D61—41no—
247C22×D61—41no—
248C22×D61—41no—
249C22×D61—41no—
250C22×D61C22×D411yescharacteristic
251C2×#6923—21no—
252C2×#6923—21no—
253C2×#6923—21no—
254C2×#6923—21no—
255C2×#6923—22no—
256C2×#6923—21no—
257C2×#6923—21no—
258C2×#6923—21no—
259C2×#6923—21no—
260C2×#6923—21no—
261C2×#6923—21no—
262C2×#6923—21no—
263C2×#6923—21no—
264C2×#6923—41no—
265C2×#6923—41no—
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—
275D4×C61—21no—
276D4×C61—21no—
277C2×C4×C61—21no—
278C2×C4×C61—21no—
279C2×C4×C61—21no—
280C2×C4×C61—81no—
281C2×C4×C61C4×D411yescharacteristic
282C2×C4×C61C4×D411yescharacteristic
283C2×C4×C61C23×C411yescharacteristic
284C22⋊D61—41no—
285C22⋊D61—41no—
286C2×Dic61—21no—
287C2×Dic61—21no—
288C2×Dic61—21no—
289C2×Dic61—81no—
290C2×Dic61C4×D411yescharacteristic
291C2×Dic61C4×D411yescharacteristic
292C2×Dic61C2×#4111yescharacteristic
293D244—21no—
294D244—21no—
295C4×D61—21no—
296C4×D61—21no—
297C4×D61—21no—
298C4×D61—21no—
299C4×D61—41no—
300C4×D61—41no—
301C4×D61—41no—
302C4×D61—41no—
303C4×D61—41no—
304C4×D61—41no—
305C4×D61—81no—
306C4×D61—81no—
307C4×D61C2×#4111yescharacteristic
308C4×D61C2×#4111yescharacteristic
309C4×D612−1+411yescharacteristic
310C4×D612−1+411yescharacteristic
311#92420—22no—
312#92420—41no—
313C8×C61—21no—
314C8×C61—21no—
315#92418—21no—
316#92418—21no—
317#23071—611nomaximal, Sylow
318C22×C61—41no—
319C22×C61—41no—
320C22×C61—41no—
321C22×C61C2×C4×D411yescharacteristic
322C2×D61—41no—
323C2×D61—41no—
324C2×D61—41no—
325C2×D61—81no—
326C2×D61—81no—
327C2×D61—81no—
328C2×D61—81no—
329C2×D61#54711yescharacteristic
330C2×D61#54811yescharacteristic
331C2×D61#57511yescharacteristic
332C2×D61#57511yescharacteristic
333C2×D61#57611yescharacteristic
334C2×D61#57711yescharacteristic
335#6923—41no—
336#6923—41no—
337#6923—41no—
338#6923—41no—
339#6923—42no—
340#6923—81no—
341#6923—81no—
342#6923—81no—
343C4×C61—21no—
344C4×C61—21no—
345C4×C61—41no—
346C4×C61—41no—
347C4×C61—41no—
348C4×C61C4×#4111yescharacteristic
349C4×C61#51911yescharacteristic
350Dic61—21no—
351Dic61—21no—
352Dic61—41no—
353Dic61—41no—
354Dic61—41no—
355Dic61#55211yescharacteristic
356Dic61#55611yescharacteristic
357C2×#478—611no—
358#2370—611no—
359#2357—611no—
360#1991—611no—
361#1949—611no—
362#1936—611no—
363#1936—611no—
364#1926—611no—
365#1925—611no—
366#1920—611no—
367#1918—611no—
368#1776—611no—
369#1776—611no—
370#1770—611no—
371C4×#102—611no—
372C2×C61—81no—
373C2×C61#236211yescharacteristic
374C2×C61#294311yescharacteristic
375C2×C61#294611yescharacteristic
376D61—81no—
377D61#335111yescharacteristic
378D61#335511yescharacteristic
379D61#337011yescharacteristic
380D61#337111yescharacteristic
381C2×#125—611no—
382C2×C4×D4—611no—
383#478—611no—
384#478—611no—
385#478—611no—
386#478—611no—
387#478—611no—
388#478—611no—
389#478—611no—
390#478#692311yescharacteristic, complemented
391C2×#107—611no—
392C2×#107—611no—
393C2×#106—611no—
394C2×#106—611no—
395C2×C4⋊C8—611no—
396C2×#102—611no—
397C2×#102—611no—
398C2×#102—611no—
399C2×#102—611no—
400C2×#97—611no—
401C2×#97—611no—
402C2×C4×C8—611no—
403#390—611no—
404#390—611no—
405#389—611no—
406#389—611no—
407#389—1221no—
408#388—1221no—
409#388—1221no—
410#387—1221no—
411#387—1221no—
412#382—611no—
413#381—1221no—
414C4×C4⋊C4—611no—
415C4×C4⋊C4—611no—
416C4×C4⋊C4—611no—
417C4×C4⋊C4—611no—
418C4×C4⋊C4—611no—
419C4×C4⋊C4—611no—
420C4×C4⋊C4—1221no—
421C4×C22⋊C4—1221no—
422#340—611no—
423#340—611no—
424#340—611no—
425#340—611no—
426#340—611no—
427#340—611no—
428#340—611no—
429#340—611no—
430#336—611no—
431#336—611no—
432C61#2307111yescharacteristic, complemented, Sylow
433C22×D4—611no—
434C23×C4—1221no—
435C22×C8—611no—
436C22×C8—611no—
437C22×C8—611no—
438C22×C8—611no—
439#125—611no—
440#125—611no—
441#125—611no—
442#125—1221no—
443#125—1221no—
444#125C2×#692311yescharacteristic
445C4×D4—611no—
446C4×D4—611no—
447C4×D4—611no—
448C4×D4—1221no—
449C4×D4—1221no—
450C4×D4C2×#692311yescharacteristic
451C2×C4⋊C4—611no—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—611no—
457C2×C4⋊C4—611no—
458C2×C4⋊C4—611no—
459C2×C4⋊C4—611no—
460C2×C4⋊C4—1221no—
461C2×C4⋊C4—1221no—
462C2×C4⋊C4—1221no—
463C2×C4⋊C4—1221no—
464C2×C22⋊C4—1221no—
465C2×C22⋊C4—1221no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1221no—
468C2×C22⋊C4—1221no—
469C2×C42—611no—
470C2×C42—611no—
471C2×C42—611no—
472C2×C42—1221no—
473C2×C42—1221no—
474C2×C42—1221no—
475C2×C42—1221no—
476C2×C42—1221no—
477#107—611no—
478#107—611no—
479#107—611no—
480#107—1222no—
481#107C2×#692311yescharacteristic
482#106—611no—
483#106—611no—
484#106—611no—
485#106—1222no—
486#106C2×#692311yescharacteristic
487C4⋊C8—611no—
488C4⋊C8—611no—
489C4⋊C8—611no—
490C4⋊C8C2×#692311yescharacteristic
491#102—611no—
492#102—611no—
493#102—611no—
494#102—611no—
495#102—611no—
496#102—611no—
497#102—1222no—
498#102—1222no—
499#102C2×#692311yescharacteristic
500#102C2×#692311yescharacteristic
501#97—1222no—
502#97—1222no—
503C4×C8—1221no—
504C4×C8—1221no—
505#95—611no—
506#95—611no—
507#95—1221no—
508#95—1221no—
509#95—1221no—
510#95—1221no—
511#95—1221no—
512#95—1221no—
513#95—1221no—
514#95—1221no—
515#95—1221no—
516C24—1221no—
517C2×D4—611no—
518C2×D4—1221no—
519C2×D4—1221no—
520C2×D4—1221no—
521C2×D4—1221no—
522C2×D4—1221no—
523C2×D4C22×#692311yescharacteristic
524C22×C4—21no—
525C22×C4—611no—
526C22×C4—611no—
527C22×C4—611no—
528C22×C4—611no—
529C22×C4—611no—
530C22×C4—611no—
531C22×C4—611no—
532C22×C4—1221no—
533C22×C4—1221no—
534C22×C4—1221no—
535C22×C4—1221no—
536C22×C4—1221no—
537C22×C4—1221no—
538C22×C4—1221no—
539C22×C4—1221no—
540C22×C4—1221no—
541C22×C4—1221no—
542C22×C4—4881no—
543C22×C4—4881no—
544C2×C8—612no—
545C2×C8—611no—
546C2×C8—611no—
547C2×C8—1221no—
548C2×C8—1221no—
549C2×C8—1221no—
550C2×C8—1221no—
551C2×C8—1221no—
552C2×C8—1221no—
553C2×C8—1221no—
554C2×C8—1221no—
555C2×C8—1221no—
556C2×C8C22×#692311yescharacteristic
557C2×C8C22×#692311yescharacteristic
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—612no—
561C4⋊C4—611no—
562C4⋊C4—611no—
563C4⋊C4—611no—
564C4⋊C4—1221no—
565C4⋊C4—1221no—
566C4⋊C4—1221no—
567C4⋊C4—1221no—
568C4⋊C4—1221no—
569C4⋊C4—1221no—
570C4⋊C4—1221no—
571C4⋊C4—1221no—
572C4⋊C4—1221no—
573C4⋊C4—1221no—
574C4⋊C4—1221no—
575C4⋊C4—1221no—
576C4⋊C4—1221no—
577C4⋊C4—1221no—
578C4⋊C4—1221no—
579C4⋊C4—1221no—
580C4⋊C4—4881no—
581C4⋊C4—2441no—
582C4⋊C4—2441no—
583C4⋊C4—2442no—
584C4⋊C4C22×#692311yescharacteristic
585C4⋊C4C22×#692311yescharacteristic
586C4⋊C4C22×#692311yescharacteristic
587C22⋊C4—21no—
588C22⋊C4—1221no—
589C22⋊C4—1221no—
590C22⋊C4—1221no—
591C22⋊C4—4881no—
592C22⋊C4—4881no—
593C22⋊C4—2442no—
594C22⋊C4—2442no—
595C42—611no—
596C42—611no—
597C42—611no—
598C42—1221no—
599C42—1221no—
600C42—1221no—
601C42—1221no—
602C42—4881no—
603C42—4881no—
604C42—4881no—
605C42—4881no—
606C42—2442no—
607C42C22×#692311yescharacteristic
608C23—21no—
609C23—611no—
610C23—1221no—
611C23—2441no—
612C23—2441no—
613C23—2441no—
614C23—2441no—
615C23—2441no—
616C23—2441no—
617D4—21no—
618D4—21no—
619D4—1221no—
620D4—1221no—
621D4—2441no—
622D4—2441no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—81no—
627C2×C4—611no—
628C2×C4—611no—
629C2×C4—611no—
630C2×C4—611no—
631C2×C4—611no—
632C2×C4—611no—
633C2×C4—611no—
634C2×C4—1221no—
635C2×C4—1221no—
636C2×C4—1221no—
637C2×C4—1221no—
638C2×C4—1221no—
639C2×C4—1221no—
640C2×C4—1221no—
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—1222no—
650C2×C4—1221no—
651C2×C4—1221no—
652C2×C4—1221no—
653C2×C4—1221no—
654C2×C4—4881no—
655C2×C4—4881no—
656C2×C4—4881no—
657C2×C4—2441no—
658C2×C4—2441no—
659C2×C4—2441no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4—2441no—
666C2×C4—2441no—
667C2×C4—2441no—
668C2×C4—2441no—
669C2×C4—2441no—
670C2×C4—2441no—
671C2×C4—2441no—
672C2×C4—2441no—
673C2×C4—2441no—
674C2×C4D4×#692311yescharacteristic
675C2×C4D4×#692311yescharacteristic
676C2×C4C23×#692311yescharacteristic
677C8—21no—
678C8—21no—
679C8—1222no—
680C8—1221no—
681C8—1221no—
682C8—2441no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—611no—
687C22—611no—
688C22—611no—
689C22—611no—
690C22—611no—
691C22—611no—
692C22—4881no—
693C22—4881no—
694C22—4881no—
695C22—4881no—
696C22—2441no—
697C22—2441no—
698C22—2441no—
699C22C2×D4×#692311yescharacteristic
700C4—21no—
701C4—21no—
702C4—41no—
703C4—41no—
704C4—41no—
705C4—611no—
706C4—611no—
707C4—1221no—
708C4—1221no—
709C4—4881no—
710C4—4881no—
711C4—4881no—
712C4—2441no—
713C4—2441no—
714C4—2441no—
715C4—2441no—
716C4—2442no—
717C4—2441no—
718C4—2441no—
719C4—2441no—
720C4#41×#692311yescharacteristic
721C4#1684083011yescharacteristic
722C2—81no—
723C2—611no—
724C2—611no—
725C2—611no—
726C2—611no—
727C2—4881no—
728C2#2146234511yescharacteristic
729C2#2146257311yescharacteristic
730C2#2146257611yescharacteristic
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#23071
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. #21462001C2semidirect
4. #21461932C2semidirect
9. #21461882C2semidirect
10. #21461880C2semidirect
11. #21461635C2semidirect
12. #21461634C2semidirect
13. #21461616C2semidirect
54. #16840065C4semidirect
55. #16840064C4semidirect
56. #16840063C4semidirect
57. #16840062C4semidirect
58. #16840061C4semidirect
59. #16840060C4semidirect
60. #16840059C4semidirect
66. C61×#478C4semidirect
390. #478#6923semidirect
432. C61#23071semidirect

Maximal subgroups

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

subgroupindex
#214623532
#214623402
#214620012
#214619322
#214619112
#214618972
#214618962
#214618822
#214618802
#214616352
#214616342
#214616162
C4×#145198392
#478×D612
#2307161