Finite Group Databasebeta

← #30560105

Subgroups — #30560105

Order 15616.

1798 conjugacy classes of subgroups.

The subgroup lattice has 752 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459684C211yesmaximal, characteristic, complemented
2#21459620C211yesmaximal, characteristic, complemented
3#21458653C214yesmaximal, complemented
4#21458603C214yesmaximal, complemented
5#21458575C214yesmaximal, complemented
6#21458540C214yesmaximal, complemented
7#21456180C212yesmaximal, complemented
8#21456167C211yesmaximal, characteristic, complemented
9#21455669C212yesmaximal, complemented
10#21455330C212yesmaximal, complemented
11#21455285C211yesmaximal, characteristic
12#21454756C211yesmaximal, characteristic, complemented
13#21454649C212yesmaximal, complemented
14C2×#16839860C211yesmaximal, characteristic, complemented
15C61×#3078C211yesmaximal, characteristic, complemented
16C2×#14519805C2212yes—
17C22×#11758201C2211yescharacteristic
18#16840497C2212yescomplemented
19#16840490C2212yescomplemented
20#16840485—21no—
21#16840484C2214yescomplemented
22#16840473C2212yes—
23#16840472—21no—
24#16840472—21no—
25#16840472—22no—
26#16840468C2214yes—
27#16840453—22no—
28Q8×D244—21no—
29#16840427C2212yes—
30#16840390C2212yes—
31#16840387—22no—
32#16840359—22no—
33#16840336C2212yes—
34#16840319C2211yescharacteristic
35#16840312C2211yescharacteristic
36#16840296—22no—
37C22⋊Q8×D61—22no—
38#16840243C2212yes—
39#16840236C2212yes—
40C2×C4×D244C2211yescharacteristic
41#16840132C2212yescomplemented
42#16840129C2214yescomplemented
43#16840128C2212yescomplemented
44#16840124C2212yescomplemented
45#16840124C2212yescomplemented
46#16840123C2214yescomplemented
47#16840118C2214yescomplemented
48#16840111C2214yescomplemented
49#16840072C2214yescomplemented
50#16840061C2214yescomplemented
51#16840056C2214yescomplemented
52#16840041C2214yescomplemented
53#16839980C2214yes—
54#16839980C2214yes—
55#16839978C2214yes—
56#16839968C2212yes—
57#16839966C2214yes—
58#16839966C2214yes—
59#16839958C2212yes—
60#16839891C2214yescomplemented
61#16839891C2214yescomplemented
62#16839873C2214yes—
63#16839861C2214yes—
64#16839860C2214yes—
65#16839860C2214yes—
66#16839849C2214yes—
67#16839844C2214yes—
68C2×#14519710C2211yescharacteristic
69#16839790C2212yes—
70#16839764C2212yes—
71#16839756C2212yes—
72#16839756C2212yes—
73C2×#14519701C2211yescharacteristic
74C2×#14519697C2211yescharacteristic
75#16839720C2212yes—
76C2×#14519688C2211yescharacteristic
77C61×#533C2211yescharacteristic
78C2×C4×Q8×C61C2211yescharacteristic
79C61×#479C2214yescomplemented
80C61×#477C2212yescomplemented
81C61×#475C2212yescomplemented
82C61×#428C2212yes—
83C61×#423C2211yescharacteristic
84C61×#419C2212yes—
85C2×#11758222C2312yes—
86C2×Q8×D61—22no—
87C22×D244C2311yescharacteristic
88C22×C4×D61—21no—
89#14519805—28no—
90C2×#11758190C2314yes—
91C2×#11758201—24no—
92C2×#11758201C2314yes—
93C2×D488C2314yes—
94C22×#92418C2311yescharacteristic
95C22×#92418C2311yescharacteristic
96#14519777—22no—
97#14519777D411yescharacteristic
98#14519777D411yescharacteristic
99#14519777C2311yescharacteristic
100#14519776C2314yes—
101#14519775C2314yes—
102#14519774C2311yescharacteristic
103#14519772—24no—
104#14519771—24no—
105#14519769—22no—
106#14519769—22no—
107#14519769D412yes—
108#14519768C2314yes—
109#14519767—24no—
110#14519766C2314yes—
111#14519765—22no—
112#14519765C2312yes—
113#14519762—24no—
114#14519760—24no—
115#14519757—22no—
116#14519757—24no—
117#14519756D412yes—
118#14519756D412yes—
119#14519755—24no—
120#14519755—24no—
121#14519755—24no—
122#14519755—24no—
123#14519754—24no—
124#14519753—22no—
125#14519753—22no—
126#14519753—22no—
127#14519753—24no—
128#14519751—21no—
129#14519751—21no—
130C4×Dic122—22no—
131C4×Dic122C2312yes—
132C4×Dic122C2312yes—
133#14519742C2314yes—
134C4×D244—21no—
135C4×D244—21no—
136C4×D244—21no—
137C4×D244—21no—
138C4×D244—22no—
139C4×D244—22no—
140C4×D244—22no—
141C4×D244C2312yes—
142C4×D244C2312yes—
143#14519739C2314yes—
144#14519739C2314yes—
145#14519739C2314yes—
146C4×C22⋊D61—24no—
147#14519736C2312yes—
148#14519735—22no—
149#14519734—24no—
150C2×C4⋊Dic61C2311yescharacteristic
151C4⋊C4×D61—22no—
152C4⋊C4×D61—22no—
153C4⋊C4×D61—24no—
154C2×#11758198—21no—
155C22⋊C4×D61—24no—
156#14519710C2314yes—
157#14519706C2314yes—
158#14519706C2314yes—
159#14519702C2314yes—
160#14519701C2314yes—
161#14519700C2312yes—
162#14519700C2312yes—
163#14519700C2312yes—
164#14519700C2312yes—
165#14519699C2314yes—
166#14519697C2312yes—
167#14519697C2312yes—
168#14519697C2314yes—
169#14519697C2312yes—
170#14519697C2312yes—
171#14519688C2312yes—
172#14519688C2312yes—
173#14519687C2314yes—
174C8×Dic61C2314yes—
175C22×Q8×C61C2311yescharacteristic
176C2×M16×C61C2312yes—
177C4⋊Q8×C61C2311yescharacteristic
178C4⋊Q8×C61C2311yescharacteristic
179#125×C61C2312yes—
180C22⋊Q8×C61—21no—
181C22⋊Q8×C61—21no—
182C4×Q8×C61—21no—
183C4×Q8×C61—21no—
184C4×Q8×C61—21no—
185C4×Q8×C61—21no—
186C4×Q8×C61C2312yes—
187C4×Q8×C61C2312yes—
188#117×C61C2312yes—
189C2×C4⋊C4×C61—21no—
190C2×C4⋊C4×C61C2311yescharacteristic
191C2×C42×C61—21no—
192C2×C42×C61C2311yescharacteristic
193#107×C61C2314yes—
194#106×C61C2314yes—
195C4⋊C8×C61C2312yes—
196C4⋊C8×C61C2312yes—
197#103×C61C2314yes—
198#103×C61C2314yes—
199C23×D61—21no—
200C2×Q8×C61—21no—
201C2×Q8×C61—21no—
202C2×Q8×C61—21no—
203C2×Q8×C61—22no—
204C2×Q8×C61—22no—
205C2×Q8×C61C2412yes—
206C22×C4×C61—21no—
207C22×C4×C61—21no—
208C22×C4×C61C2×D411yescharacteristic
209C22×C4×C61C2×D411yescharacteristic
210C22×C4×C61C2411yescharacteristic
211C2×C22⋊D61—22no—
212C22×Dic61—21no—
213Q8×D61—84no—
214#11758222—24no—
215#11758222—24no—
216C2×D244—21no—
217C2×D244—22no—
218C2×D244—21no—
219C2×D244—21no—
220C2×D244#4114yes—
221C2×D244C2412yes—
222C2×D244C2412yes—
223C2×C4×D61—22no—
224C2×C4×D61—22no—
225C2×C4×D61—22no—
226C2×C4×D61—24no—
227C2×C4×D61—24no—
228C2×C4×D61—24no—
229C2×C4×D61—82no—
230C2×Dic122—24no—
231C2×Dic122C2×D412yes—
232C2×Dic122C2×D412yes—
233C2×Dic122C2412yes—
234M16×C61—24no—
235C2×C8×C61C2414yes—
236C4⋊C4×C61—22no—
237C4⋊C4×C61—22no—
238C4⋊C4×C61—21no—
239C4⋊C4×C61—22no—
240C4⋊C4×C61—22no—
241C4⋊C4×C61—21no—
242C4⋊C4×C61—21no—
243C4⋊C4×C61C2412yes—
244C4⋊C4×C61C2412yes—
245C4⋊C4×C61C2412yes—
246C22⋊C4×C61—22no—
247C42×C61—22no—
248C42×C61—22no—
249C42×C61—22no—
250C42×C61C2×D411yescharacteristic
251C42×C61C2×D411yescharacteristic
252C42×C61C2411yescharacteristic
253C42×C61C2411yescharacteristic
254C22⋊Dic61C2×D414yes—
255#11758201—28no—
256#11758198—22no—
257#11758198—22no—
258#11758198—22no—
259#11758198—22no—
260#11758198—24no—
261#11758198—24no—
262#11758198—24no—
263#11758198—24no—
264#11758198—24no—
265C4⋊Dic61—21no—
266C4⋊Dic61—21no—
267C4⋊Dic61—21no—
268C4⋊Dic61—24no—
269C4⋊Dic61C2×D412yes—
270C4⋊Dic61C2×D412yes—
271C4⋊Dic61C2×D412yes—
272C4⋊Dic61C2×D412yes—
273C4⋊Dic61C2412yes—
274#11758196—24no—
275#11758196—24no—
276#11758196—24no—
277#11758196—24no—
278#11758196—24no—
279#11758196C2×D414yes—
280#11758196C2×D414yes—
281C4×Dic61—24no—
282C4×Dic61C2414yes—
283C2×#92418—22no—
284C2×#92418—22no—
285C2×#92418C2412yes—
286C2×#92418C2412yes—
287D488—28no—
288#11758190—28no—
289C23×C61C22×D411yescharacteristic
290C22×D61—22no—
291C22×D61—24no—
292C22×D61—22no—
293C22×D61—81no—
294C22×D61—81no—
295Q8×C61—22no—
296Q8×C61—22no—
297Q8×C61—42no—
298Q8×C61—42no—
299Q8×C61—81no—
300C2×C4×C61—22no—
301C2×C4×C61—22no—
302C2×C4×C61—22no—
303C2×C4×C61—22no—
304C2×C4×C61—41no—
305C2×C4×C61—41no—
306C2×C4×C61—42no—
307C2×C4×C61—81no—
308C2×C4×C61C22×D411yescharacteristic
309C2×C4×C61C22×D411yescharacteristic
310C2×C4×C61C22×D411yescharacteristic
311C2×C4×C61C22×D411yescharacteristic
312C2×C4×C61C22×D411yescharacteristic
313C2×C4×C61C2×#4112yes—
314C2×C4×C612−1+412yes—
315C2×C4×C61C2511yescharacteristic
316C22⋊D61—44no—
317C2×Dic61—22no—
318C2×Dic61—22no—
319C2×Dic61—81no—
320C2×Dic61C22×D414yes—
321C2×Dic61C22×D414yes—
322D244—24no—
323D244—22no—
324D244—22no—
325D244—22no—
326D244—42no—
327D244—81no—
328D244C2×#4114yes—
329C4×D61—44no—
330C4×D61—44no—
331C4×D61—84no—
332C4×D61—84no—
333C4×D61—84no—
334C4×D61—82no—
335Dic122—22no—
336Dic122—22no—
337Dic122—42no—
338Dic122—42no—
339Dic122—84no—
340C8×C61—24no—
341#92418—22no—
342#92418—22no—
343#61333—611nomaximal, Sylow
344C22×C61—21no—
345C22×C61—21no—
346C22×C61#54812yes—
347C22×C61C23×D411yescharacteristic
348C2×D61—24no—
349C2×D61—42no—
350C2×D61—42no—
351C2×D61—42no—
352C2×D61—42no—
353C2×D61—42no—
354C2×D61—84no—
355C4×C61—21no—
356C4×C61—21no—
357C4×C61—21no—
358C4×C61—21no—
359C4×C61—42no—
360C4×C61—42no—
361C4×C61—42no—
362C4×C61—42no—
363C4×C61#54812yes—
364C4×C61C22×#4111yescharacteristic
365C4×C61C2×2−1+411yescharacteristic
366Dic61—24no—
367Dic61—24no—
368Dic61—42no—
369Dic61—42no—
370#3507—611no—
371#3501—611no—
372#3376—614no—
373#3372—614no—
374#3370—614no—
375#3367—614no—
376#3137—612no—
377#3135—611no—
378#3083—612no—
379#3078D6111yescharacteristic, complemented
380#3042—612no—
381#3036—611no—
382#2961—611no—
383#2946—612no—
384C2×#440—611no—
385C2×C61—22no—
386C2×C61C2×#54811yescharacteristic
387C2×C61#358511yescharacteristic
388C2×C61#358611yescharacteristic
389D61—44no—
390D61—82no—
391C2×AGL(1,ℤ/8)—612no—
392C22×SD16—611no—
393#559—612no—
394#557—612no—
395#556—614no—
396#556—1221no—
397#554—612no—
398#554—614no—
399#554—1222no—
400#554—1221no—
401#554—1221no—
402#552—1222no—
403D4×Q8—612no—
404D4×Q8—1221no—
405#544—612no—
406#543—1222no—
407#539—1222no—
408#536—612no—
409#533—611no—
410#533C2×D6111yescharacteristic
411#532—611no—
412#529—1222no—
413C2×C22⋊Q8—1222no—
414#520—612no—
415#518—612no—
416C2×C4×Q8C2×D6111yescharacteristic
417C2×C4×D4—611no—
418#491—612no—
419#491—614no—
420#490—612no—
421#489—612no—
422#489—612no—
423#489—614no—
424#488—614no—
425#487—614no—
426#479—614no—
427#479C2×D6114yescomplemented
428#478—614no—
429#477—614no—
430#477C2×D6112yescomplemented
431#475C2×D6112yescomplemented
432#474—614no—
433#463—614no—
434#463—614no—
435#463—614no—
436#461—612no—
437#461—614no—
438#461—614no—
439#459—612no—
440#446—614no—
441#446—614no—
442#442—614no—
443#440—614no—
444#440—614no—
445#440—614no—
446C4×SD16—614no—
447C4×D8—614no—
448#428C2×D6112yes—
449C2×#107—611no—
450#424—612no—
451#423C2×D6111yescharacteristic
452#419C2×D6112yes—
453#417—612no—
454#416—612no—
455#416—612no—
456C2×#103—611no—
457C2×#102—611no—
458#405—612no—
459C2×#97—611no—
460C61#6133311yescharacteristic, complemented, Sylow
461C2×#41—612no—
462C22×Q8—1222no—
463C22×Q8C22×D6111yescharacteristic
464C22×D4—611no—
465C23×C4—1221no—
466AGL(1,ℤ/8)—1228no—
467C2×SD16—614no—
468C2×SD16—614no—
469C2×SD16—1224no—
470C2×D8—614no—
471C2×M16C22×D6112yes—
472C22×C8—611no—
473C22×C8—611no—
474C4⋊Q8—614no—
475C4⋊Q8—614no—
476C4⋊Q8—611no—
477C4⋊Q8—611no—
478C4⋊Q8—611no—
479C4⋊Q8—1222no—
480C4⋊Q8C22×D6111yescharacteristic
481C4⋊Q8C22×D6111yescharacteristic
482#127—611no—
483#126—1224no—
484#126—1224no—
485#125—614no—
486#125—612no—
487#125—1222no—
488#125—1222no—
489#125—1224no—
490#125C22×D6112yes—
491#124—614no—
492#124—612no—
493#124—1222no—
494#123—1224no—
495#123—1224no—
496C22⋊Q8—21no—
497C22⋊Q8—21no—
498C22⋊Q8—612no—
499C22⋊Q8—612no—
500C22⋊Q8—1224no—
501C22⋊Q8—1224no—
502C22⋊Q8—1224no—
503C22⋊Q8—1224no—
504C22⋊Q8—1222no—
505C22⋊Q8—1224no—
506C22⋊Q8—1224no—
507C22⋊Q8—1222no—
508C22⋊Q8—1222no—
509C22⋊Q8—1222no—
510C22⋊Q8—1224no—
511#121—1221no—
512#121—1221no—
513C4×Q8—21no—
514C4×Q8—21no—
515C4×Q8—21no—
516C4×Q8—21no—
517C4×Q8—612no—
518C4×Q8—612no—
519C4×Q8—614no—
520C4×Q8—1222no—
521C4×Q8C22×D6112yes—
522C4×Q8C22×D6112yes—
523C4×D4—614no—
524C4×D4—614no—
525C4×D4—614no—
526C4×D4—612no—
527C4×D4—612no—
528C4×D4—1222no—
529C4×D4—1222no—
530C4×D4—1222no—
531C4×D4—1224no—
532C4×D4—1221no—
533C4×D4—1221no—
534C4×D4—1221no—
535C4×D4—1221no—
536#117—612no—
537#117—1224no—
538#117—1222no—
539#117C22×D6112yes—
540C2×C4⋊C4—21no—
541C2×C4⋊C4—611no—
542C2×C4⋊C4—1222no—
543C2×C4⋊C4—1224no—
544C2×C4⋊C4—1222no—
545C2×C4⋊C4C22×D6111yescharacteristic
546C2×C22⋊C4—1224no—
547C2×C22⋊C4—1221no—
548C2×C42—21no—
549C2×C42C22×D6111yescharacteristic
550#107—614no—
551#107C22×D6114yes—
552#106C22×D6114yes—
553C4⋊C8—614no—
554C4⋊C8—614no—
555C4⋊C8C22×D6112yes—
556C4⋊C8C22×D6112yes—
557#103—614no—
558#103—614no—
559#103—612no—
560#103—612no—
561#103—612no—
562#103—612no—
563#103C22×D6114yes—
564#103C22×D6114yes—
565#102—614no—
566#102—614no—
567#102—612no—
568#102—612no—
569#102—612no—
570#102—612no—
571#97—614no—
572#97—612no—
573#97—612no—
574C4×C8—614no—
575C24—1221no—
576#41—1224no—
577#41—1224no—
578C2×Q8—21no—
579C2×Q8—21no—
580C2×Q8—21no—
581C2×Q8—22no—
582C2×Q8—22no—
583C2×Q8—612no—
584C2×Q8—612no—
585C2×Q8—612no—
586C2×Q8—1224no—
587C2×Q8—4884no—
588C2×Q8C23×D6112yes—
589C2×D4—614no—
590C2×D4—612no—
591C2×D4—612no—
592C2×D4—1222no—
593C2×D4—1221no—
594C2×D4—1221no—
595C2×D4—1221no—
596C2×D4—1222no—
597C22×C4—21no—
598C22×C4—21no—
599C22×C4—1224no—
600C22×C4—1224no—
601C22×C4—1224no—
602C22×C4—1221no—
603C22×C4—1222no—
604C22×C4—1222no—
605C22×C4—1222no—
606C22×C4—4882no—
607C22×C4D4×D6111yescharacteristic
608C22×C4D4×D6111yescharacteristic
609C22×C4C23×D6111yescharacteristic
610SD16—1228no—
611SD16—1228no—
612D8—1228no—
613M16—24no—
614C2×C8—612no—
615C2×C8—612no—
616C2×C8—1222no—
617C2×C8—1222no—
618C2×C8C23×D6114yes—
619C4⋊C4—22no—
620C4⋊C4—22no—
621C4⋊C4—21no—
622C4⋊C4—22no—
623C4⋊C4—21no—
624C4⋊C4—22no—
625C4⋊C4—21no—
626C4⋊C4—614no—
627C4⋊C4—612no—
628C4⋊C4—612no—
629C4⋊C4—614no—
630C4⋊C4—612no—
631C4⋊C4—612no—
632C4⋊C4—612no—
633C4⋊C4—1224no—
634C4⋊C4—1224no—
635C4⋊C4—1224no—
636C4⋊C4—1224no—
637C4⋊C4—1224no—
638C4⋊C4—1224no—
639C4⋊C4—1221no—
640C4⋊C4—1221no—
641C4⋊C4—1221no—
642C4⋊C4C23×D6112yes—
643C4⋊C4C23×D6112yes—
644C4⋊C4C23×D6112yes—
645C22⋊C4—22no—
646C22⋊C4—614no—
647C22⋊C4—1224no—
648C22⋊C4—1224no—
649C22⋊C4—1224no—
650C22⋊C4—1224no—
651C22⋊C4—1224no—
652C22⋊C4—1222no—
653C22⋊C4—1222no—
654C22⋊C4—1222no—
655C22⋊C4—1222no—
656C42—22no—
657C42—22no—
658C42—22no—
659C42—614no—
660C42—1224no—
661C42D4×D6111yescharacteristic
662C42D4×D6111yescharacteristic
663C42C23×D6111yescharacteristic
664C42C23×D6111yescharacteristic
665C23—1224no—
666C23—1222no—
667C23—1222no—
668C23—4881no—
669C23—4881no—
670C23C2×D4×D6111yescharacteristic
671Q8—22no—
672Q8—22no—
673Q8—42no—
674Q8—42no—
675Q8—81no—
676Q8—1222no—
677Q8—1222no—
678Q8—4884no—
679Q8—2442no—
680Q8—2442no—
681D4—614no—
682D4—1222no—
683D4—1222no—
684D4—1222no—
685D4—1224no—
686D4—4881no—
687D4—2442no—
688D4—2444no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—22no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—42no—
696C2×C4—81no—
697C2×C4—614no—
698C2×C4—614no—
699C2×C4—1222no—
700C2×C4—1222no—
701C2×C4—4882no—
702C2×C4—4884no—
703C2×C4—4884no—
704C2×C4—4884no—
705C2×C4—4881no—
706C2×C4—2444no—
707C2×C4—2444no—
708C2×C4C2×D4×D6111yescharacteristic
709C2×C4C2×D4×D6111yescharacteristic
710C2×C4C2×D4×D6111yescharacteristic
711C2×C4C2×D4×D6111yescharacteristic
712C2×C4C2×D4×D6111yescharacteristic
713C2×C4#41×D6112yes—
714C2×C4#1451982512yes—
715C2×C4C24×D6111yescharacteristic
716C8—24no—
717C8—1222no—
718C8—1222no—
719C22—21no—
720C22—21no—
721C22—1224no—
722C22—4884no—
723C22—2442no—
724C22—2442no—
725C22—2442no—
726C22—2442no—
727C22—2442no—
728C22#1684042212yes—
729C22C22×D4×D6111yescharacteristic
730C4—21no—
731C4—21no—
732C4—21no—
733C4—21no—
734C4—42no—
735C4—42no—
736C4—42no—
737C4—42no—
738C4—1224no—
739C4—1224no—
740C4—2442no—
741C4—2442no—
742C4#1684042212yes—
743C4C2×#41×D6111yescharacteristic
744C4C2×#1451982511yescharacteristic
745C2—22no—
746C2—4882no—
747C2—2444no—
748C2C2×#1684042211yescharacteristic
749C2#2146059611yescharacteristic
750C2#2146060211yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3078C2
socleC22×C61C23×D4
prime radical#21455285C2
hypercenter#3078D61
hypocenterC61#61333
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3078

Complements

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

NH ≅ G/Ntype
1. #21459684C2semidirect
2. #21459620C2semidirect
3. #21458653C2semidirect
4. #21458603C2semidirect
5. #21458575C2semidirect
6. #21458540C2semidirect
7. #21456180C2semidirect
8. #21456167C2semidirect
9. #21455669C2semidirect
10. #21455330C2semidirect
12. #21454756C2semidirect
13. #21454649C2semidirect
14. C2×#16839860C2semidirect
15. C61×#3078C2semidirect
18. #16840497C22semidirect
19. #16840490C22semidirect
21. #16840484C22semidirect
41. #16840132C22semidirect
42. #16840129C22semidirect
43. #16840128C22semidirect
44. #16840124C22semidirect
45. #16840124C22semidirect
46. #16840123C22semidirect
47. #16840118C22semidirect
48. #16840111C22semidirect
49. #16840072C22semidirect
50. #16840061C22semidirect
51. #16840056C22semidirect
52. #16840041C22semidirect
60. #16839891C22semidirect
61. #16839891C22semidirect
79. C61×#479C22semidirect
80. C61×#477C22semidirect
81. C61×#475C22semidirect
379. #3078D61semidirect
427. #479C2×D61semidirect
430. #477C2×D61semidirect
431. #475C2×D61semidirect
460. C61#61333semidirect

Maximal subgroups

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

subgroupindex
#214596842
#214596202
#214586532
#214586032
#214585752
#214585402
#214561802
#214561672
#214556692
#214553302
#214552852
#214547562
#214546492
C2×#168398602
C61×#30782
#6133361