Finite Group Databasebeta

← #30560090

Subgroups — #30560090

Order 15616.

1862 conjugacy classes of subgroups.

The subgroup lattice has 776 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#21459671C211yesmaximal, characteristic, complemented
2#21459620C211yesmaximal, characteristic, complemented
3#21458649C214yesmaximal, complemented
4#21458614C214yesmaximal, complemented
5#21458579C214yesmaximal, complemented
6#21458529C214yesmaximal, complemented
7#21456169C212yesmaximal, complemented
8#21456167C211yesmaximal, characteristic, complemented
9#21455680C212yesmaximal, complemented
10#21455321C212yesmaximal, complemented
11#21455285C211yesmaximal, characteristic, complemented
12#21454756C211yesmaximal, characteristic, complemented
13#21454649C212yesmaximal, complemented
14C2×#16839872C211yesmaximal, characteristic, complemented
15C61×#3077C211yesmaximal, characteristic, complemented
16C2×#14519805C2212yes—
17C22×#11758199C2211yescharacteristic
18#16840495C2214yescomplemented
19#16840482C2212yescomplemented
20#16840477—21no—
21#16840473C2212yescomplemented
22#16840472—21no—
23#16840472—22no—
24#16840468C2214yescomplemented
25#16840462—22no—
26#16840433C2212yescomplemented
27Q8×D244—21no—
28#16840427C2212yescomplemented
29#16840417—21no—
30#16840390C2212yes—
31#16840387—22no—
32#16840350—22no—
33#16840329C2212yes—
34#16840319C2211yescharacteristic
35#16840312C2211yescharacteristic
36#16840273—22no—
37C22⋊Q8×D61—22no—
38#16840243C2212yes—
39#16840236C2212yes—
40C2×C4×D244C2211yescharacteristic
41#16840132C2212yescomplemented
42#16840128C2212yescomplemented
43#16840125C2214yescomplemented
44#16840124C2212yescomplemented
45#16840124C2212yescomplemented
46#16840120C2214yescomplemented
47#16840115C2214yescomplemented
48#16840107C2214yescomplemented
49#16840068C2214yescomplemented
50#16840065C2214yescomplemented
51#16840051C2214yescomplemented
52#16840046C2214yescomplemented
53#16839978C2214yescomplemented
54#16839976C2214yes—
55#16839976C2214yes—
56#16839968C2212yescomplemented
57#16839958C2212yescomplemented
58#16839956C2214yes—
59#16839956C2214yes—
60#16839891C2214yescomplemented
61#16839891C2214yescomplemented
62#16839873C2214yescomplemented
63#16839872C2214yes—
64#16839872C2214yes—
65#16839861C2214yescomplemented
66#16839849C2214yescomplemented
67#16839844C2214yescomplemented
68C2×#14519708C2211yescharacteristic
69#16839790C2212yes—
70#16839764C2212yes—
71#16839756C2212yes—
72#16839756C2212yes—
73C2×#14519698C2211yescharacteristic
74C2×#14519697C2211yescharacteristic
75#16839720C2212yes—
76C2×#14519688C2211yescharacteristic
77C61×#533C2211yescharacteristic
78C2×C4×D4×C61C2211yescharacteristic
79C61×#478C2214yescomplemented
80C61×#476C2212yescomplemented
81C61×#474C2212yescomplemented
82C61×#428C2212yes—
83C61×#423C2211yescharacteristic
84C61×#418C2212yes—
85C2×#11758222—22no—
86C2×#11758222C2312yes—
87C2×Q8×D61—22no—
88C22×D244C2311yescharacteristic
89C22×C4×D61—21no—
90#14519805—28no—
91C2×#11758190C2314yes—
92C2×D488C2314yes—
93C2×#11758199—24no—
94C2×#11758199C2314yes—
95C22×#92418C2311yescharacteristic
96C22×#92418C2311yescharacteristic
97#14519777—22no—
98#14519777D411yescharacteristic
99#14519777D411yescharacteristic
100#14519777C2311yescharacteristic
101#14519776C2314yes—
102#14519774C2311yescharacteristic
103#14519773C2314yes—
104#14519770—24no—
105#14519769—22no—
106#14519769D412yes—
107#14519768C2314yes—
108#14519765C2312yes—
109#14519764C2314yes—
110#14519763—24no—
111#14519760—24no—
112#14519759—24no—
113#14519757—22no—
114#14519757—24no—
115#14519756—22no—
116#14519756D412yes—
117#14519756D412yes—
118#14519755—24no—
119#14519755—24no—
120#14519755—24no—
121#14519754—24no—
122#14519753—22no—
123#14519753—24no—
124#14519751—21no—
125#14519751—21no—
126#14519751—22no—
127#14519750—24no—
128#14519748—22no—
129#14519748—22no—
130#14519746—24no—
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×D244C2312yes—
141C4×D244C2312yes—
142#14519739C2314yes—
143#14519739C2314yes—
144#14519739C2314yes—
145C4×C22⋊D61—24no—
146C4×C22⋊D61—24no—
147#14519736—22no—
148#14519736C2312yes—
149#14519735—22no—
150C2×C4⋊Dic61C2311yescharacteristic
151C4⋊C4×D61—22no—
152C4⋊C4×D61—22no—
153C4⋊C4×D61—24no—
154C2×#11758198—21no—
155C22⋊C4×D61—24no—
156#14519708C2314yes—
157#14519706C2314yes—
158#14519706C2314yes—
159#14519702C2314yes—
160#14519700C2312yes—
161#14519700C2312yes—
162#14519700C2312yes—
163#14519700C2312yes—
164#14519699C2314yes—
165#14519698C2314yes—
166#14519697C2312yes—
167#14519697C2312yes—
168#14519697C2314yes—
169#14519697C2312yes—
170#14519697C2312yes—
171#14519688C2312yes—
172#14519688C2312yes—
173#14519687C2314yes—
174C8×Dic61C2314yes—
175C22×D4×C61C2311yescharacteristic
176C23×C4×C61—21no—
177C2×M16×C61C2312yes—
178C4⋊Q8×C61C2311yescharacteristic
179C4⋊Q8×C61C2311yescharacteristic
180#125×C61C2312yes—
181C22⋊Q8×C61—21no—
182C22⋊Q8×C61—21no—
183C4×Q8×C61—21no—
184C4×Q8×C61—21no—
185C4×D4×C61—21no—
186C4×D4×C61—21no—
187C4×D4×C61C2312yes—
188C4×D4×C61C2312yes—
189#117×C61C2312yes—
190C2×C4⋊C4×C61C2311yescharacteristic
191C2×C22⋊C4×C61—21no—
192C2×C42×C61C2311yescharacteristic
193#107×C61C2314yes—
194#106×C61C2314yes—
195C4⋊C8×C61C2312yes—
196C4⋊C8×C61C2312yes—
197#102×C61C2314yes—
198#102×C61C2314yes—
199C24×C61—21no—
200C23×D61—21no—
201C2×Q8×C61—21no—
202C2×Q8×C61—21no—
203C2×D4×C61—21no—
204C2×D4×C61—22no—
205C2×D4×C61—22no—
206C2×D4×C61C2412yes—
207C22×C4×C61—21no—
208C22×C4×C61—22no—
209C22×C4×C61—22no—
210C22×C4×C61—82no—
211C22×C4×C61C2×D411yescharacteristic
212C22×C4×C61C2×D411yescharacteristic
213C22×C4×C61C2411yescharacteristic
214C2×C22⋊D61—22no—
215C2×C22⋊D61—24no—
216C2×C22⋊D61—24no—
217C22×Dic61—21no—
218Q8×D61—84no—
219#11758222—24no—
220#11758222—24no—
221#11758222—84no—
222C2×D244—21no—
223C2×D244—22no—
224C2×D244—21no—
225C2×D244—21no—
226C2×D244#4114yescomplemented
227C2×D244C2412yes—
228C2×D244C2412yes—
229C2×C4×D61—22no—
230C2×C4×D61—22no—
231C2×C4×D61—22no—
232C2×C4×D61—24no—
233C2×C4×D61—24no—
234C2×C4×D61—24no—
235C2×C4×D61—82no—
236C2×Dic122—24no—
237C2×Dic122C2×D412yes—
238C2×Dic122C2×D412yes—
239C2×Dic122C2412yes—
240M16×C61—24no—
241C2×C8×C61C2414yes—
242C4⋊C4×C61—21no—
243C4⋊C4×C61—22no—
244C4⋊C4×C61—22no—
245C4⋊C4×C61—21no—
246C4⋊C4×C61—21no—
247C4⋊C4×C61C2412yes—
248C4⋊C4×C61C2412yes—
249C4⋊C4×C61C2412yes—
250C22⋊C4×C61—22no—
251C22⋊C4×C61—22no—
252C22⋊C4×C61—22no—
253C42×C61—22no—
254C42×C61C2×D411yescharacteristic
255C42×C61C2×D411yescharacteristic
256C42×C61C2411yescharacteristic
257C42×C61C2411yescharacteristic
258C22⋊Dic61—24no—
259C22⋊Dic61—24no—
260C22⋊Dic61C2×D414yes—
261#11758199—28no—
262#11758198—22no—
263#11758198—22no—
264#11758198—22no—
265#11758198—22no—
266#11758198—24no—
267#11758198—24no—
268#11758198—24no—
269C4⋊Dic61—21no—
270C4⋊Dic61—21no—
271C4⋊Dic61—21no—
272C4⋊Dic61—24no—
273C4⋊Dic61C2×D412yes—
274C4⋊Dic61C2×D412yes—
275C4⋊Dic61C2×D412yes—
276C4⋊Dic61C2×D412yes—
277C4⋊Dic61C2412yes—
278#11758196—24no—
279#11758196—24no—
280#11758196—24no—
281#11758196C2×D414yes—
282#11758196C2×D414yes—
283C4×Dic61—24no—
284C4×Dic61C2414yes—
285C2×#92418—22no—
286C2×#92418—22no—
287C2×#92418C2412yes—
288C2×#92418C2412yes—
289D488—28no—
290#11758190—28no—
291C23×C61—22no—
292C23×C61—42no—
293C23×C61—81no—
294C23×C61—81no—
295C23×C61C22×D411yescharacteristic
296C22×D61—22no—
297C22×D61—24no—
298C22×D61—22no—
299C22×D61—81no—
300C22×D61—81no—
301Q8×C61—42no—
302Q8×C61—81no—
303D4×C61—22no—
304D4×C61—22no—
305D4×C61—42no—
306C2×C4×C61—22no—
307C2×C4×C61—22no—
308C2×C4×C61—22no—
309C2×C4×C61—41no—
310C2×C4×C61—41no—
311C2×C4×C61—44no—
312C2×C4×C61—82no—
313C2×C4×C61—81no—
314C2×C4×C61C22×D411yescharacteristic
315C2×C4×C61C22×D411yescharacteristic
316C2×C4×C61C22×D411yescharacteristic
317C2×C4×C61C22×D411yescharacteristic
318C2×C4×C61C22×D411yescharacteristic
319C2×C4×C61C2×#4112yes—
320C2×C4×C612−1+412yes—
321C2×C4×C61C2511yescharacteristic
322C22⋊D61—44no—
323C22⋊D61—84no—
324C22⋊D61—84no—
325C2×Dic61—22no—
326C2×Dic61—22no—
327C2×Dic61—81no—
328C2×Dic61C22×D414yes—
329C2×Dic61C22×D414yes—
330D244—24no—
331D244—22no—
332D244—22no—
333D244—22no—
334D244—42no—
335D244—81no—
336D244C2×#4114yes—
337C4×D61—44no—
338C4×D61—44no—
339C4×D61—84no—
340C4×D61—84no—
341C4×D61—84no—
342C4×D61—82no—
343Dic122—22no—
344Dic122—22no—
345Dic122—42no—
346Dic122—42no—
347Dic122—84no—
348C8×C61—24no—
349#92418—22no—
350#92418—22no—
351#61332—611nomaximal, Sylow
352C22×C61—21no—
353C22×C61—21no—
354C22×C61—42no—
355C22×C61—42no—
356C22×C61—42no—
357C22×C61—84no—
358C22×C61#54812yes—
359C22×C61C23×D411yescharacteristic
360C2×D61—24no—
361C2×D61—42no—
362C2×D61—42no—
363C2×D61—42no—
364C2×D61—42no—
365C2×D61—42no—
366C2×D61—84no—
367C4×C61—21no—
368C4×C61—21no—
369C4×C61—21no—
370C4×C61—21no—
371C4×C61—42no—
372C4×C61—42no—
373C4×C61—42no—
374C4×C61#54812yes—
375C4×C61C22×#4111yescharacteristic
376C4×C61C2×2−1+411yescharacteristic
377Dic61—24no—
378Dic61—24no—
379Dic61—42no—
380Dic61—42no—
381#3506—611no—
382#3501—611no—
383#3376—614no—
384#3373—614no—
385#3370—614no—
386#3366—614no—
387#3136—612no—
388#3135—611no—
389#3084—612no—
390#3077D6111yescharacteristic, complemented
391#3041—612no—
392#3036—611no—
393#2961—611no—
394#2946—612no—
395C2×#442—611no—
396C2×C61—22no—
397C2×C61—82no—
398C2×C61C2×#54811yescharacteristic
399C2×C61#358511yescharacteristic
400C2×C61#358511yescharacteristic
401D61—44no—
402D61—82no—
403C2×AGL(1,ℤ/8)—612no—
404C22×D8—611no—
405#559—614no—
406#556—612no—
407#555—1221no—
408#554—612no—
409#554—614no—
410#554—1222no—
411#554—1221no—
412#553—1222no—
413#550—612no—
414D4×Q8—612no—
415D4×Q8—1221no—
416#547—1221no—
417#544—612no—
418#543—1222no—
419#538—1222no—
420#535—612no—
421#533—611no—
422#533C2×D6111yescharacteristic
423#532—611no—
424#525—1222no—
425C2×C22⋊Q8—1222no—
426#520—612no—
427#518—612no—
428C2×C4×D4—611no—
429C2×C4×D4C2×D6111yescharacteristic
430#491—612no—
431#490—612no—
432#490—614no—
433#489—612no—
434#489—612no—
435#489—614no—
436#488—614no—
437#486—614no—
438#479—614no—
439#478—614no—
440#478C2×D6114yescomplemented
441#476—614no—
442#476C2×D6112yescomplemented
443#475—614no—
444#474C2×D6112yescomplemented
445#463—614no—
446#463—614no—
447#463—614no—
448#461—612no—
449#459—612no—
450#459—614no—
451#459—614no—
452#446—614no—
453#446—614no—
454#442—614no—
455#442—614no—
456#442—614no—
457#440—614no—
458C4×SD16—614no—
459C4×D8—614no—
460#428C2×D6112yes—
461C2×#106—611no—
462#424—612no—
463#423C2×D6111yescharacteristic
464#418C2×D6112yes—
465#417—612no—
466#416—612no—
467#416—612no—
468C2×#102—611no—
469C2×#102—611no—
470#405—612no—
471C2×#97—611no—
472C61#6133211yescharacteristic, complemented, Sylow
473C2×#41—612no—
474C2×#41—1222no—
475C22×Q8—1222no—
476C22×D4—611no—
477C22×D4C22×D6111yescharacteristic
478C23×C4—21no—
479C23×C4—1221no—
480AGL(1,ℤ/8)—1228no—
481C2×SD16—614no—
482C2×D8—614no—
483C2×D8—614no—
484C2×D8—1224no—
485C2×M16C22×D6112yes—
486C22×C8—611no—
487C22×C8—611no—
488C4⋊Q8—614no—
489C4⋊Q8—611no—
490C4⋊Q8—611no—
491C4⋊Q8—611no—
492C4⋊Q8—1222no—
493C4⋊Q8C22×D6111yescharacteristic
494C4⋊Q8C22×D6111yescharacteristic
495#127—614no—
496#127—611no—
497#126—1224no—
498#125—614no—
499#125—612no—
500#125—1222no—
501#125C22×D6112yes—
502#124—614no—
503#124—612no—
504#124—1224no—
505#123—1224no—
506#123—1224no—
507C22⋊Q8—21no—
508C22⋊Q8—21no—
509C22⋊Q8—612no—
510C22⋊Q8—612no—
511C22⋊Q8—1224no—
512C22⋊Q8—1224no—
513C22⋊Q8—1224no—
514C22⋊Q8—1224no—
515C22⋊Q8—1222no—
516C22⋊Q8—1224no—
517C22⋊Q8—1222no—
518C22⋊Q8—1224no—
519C22⋊Q8—1222no—
520#121—1224no—
521#121—1222no—
522#121—1222no—
523#121—1222no—
524#121—1221no—
525#121—1221no—
526#120—1224no—
527C4×Q8—21no—
528C4×Q8—21no—
529C4×Q8—612no—
530C4×Q8—612no—
531C4×Q8—614no—
532C4×D4—21no—
533C4×D4—21no—
534C4×D4—614no—
535C4×D4—614no—
536C4×D4—614no—
537C4×D4—612no—
538C4×D4—612no—
539C4×D4—1222no—
540C4×D4—1222no—
541C4×D4—1224no—
542C4×D4—1224no—
543C4×D4—1221no—
544C4×D4—1221no—
545C4×D4—1221no—
546C4×D4—1221no—
547C4×D4C22×D6112yes—
548C4×D4C22×D6112yes—
549#117—612no—
550#117—1222no—
551#117—1222no—
552#117C22×D6112yes—
553C2×C4⋊C4—611no—
554C2×C4⋊C4—1222no—
555C2×C4⋊C4—1224no—
556C2×C4⋊C4—1222no—
557C2×C4⋊C4C22×D6111yescharacteristic
558C2×C22⋊C4—21no—
559C2×C22⋊C4—1224no—
560C2×C22⋊C4—1221no—
561C2×C42C22×D6111yescharacteristic
562#107C22×D6114yes—
563#106—614no—
564#106C22×D6114yes—
565C4⋊C8—614no—
566C4⋊C8—614no—
567C4⋊C8C22×D6112yes—
568C4⋊C8C22×D6112yes—
569#103—614no—
570#103—612no—
571#103—612no—
572#103—612no—
573#103—612no—
574#102—614no—
575#102—614no—
576#102—614no—
577#102—612no—
578#102—612no—
579#102—612no—
580#102—612no—
581#102C22×D6114yes—
582#102C22×D6114yes—
583#97—614no—
584#97—612no—
585#97—612no—
586C4×C8—614no—
587C24—21no—
588C24—1221no—
589#41—1224no—
590#41—1224no—
591#41—4884no—
592C2×Q8—21no—
593C2×Q8—21no—
594C2×Q8—612no—
595C2×Q8—612no—
596C2×Q8—612no—
597C2×Q8—1224no—
598C2×Q8—4884no—
599C2×D4—21no—
600C2×D4—22no—
601C2×D4—22no—
602C2×D4—614no—
603C2×D4—612no—
604C2×D4—612no—
605C2×D4—1224no—
606C2×D4—1224no—
607C2×D4—1222no—
608C2×D4—1221no—
609C2×D4—1221no—
610C2×D4—1221no—
611C2×D4—1222no—
612C2×D4C23×D6112yes—
613C22×C4—21no—
614C22×C4—22no—
615C22×C4—22no—
616C22×C4—82no—
617C22×C4—1224no—
618C22×C4—1224no—
619C22×C4—1224no—
620C22×C4—1221no—
621C22×C4—1222no—
622C22×C4—1222no—
623C22×C4—1222no—
624C22×C4—4882no—
625C22×C4D4×D6111yescharacteristic
626C22×C4D4×D6111yescharacteristic
627C22×C4C23×D6111yescharacteristic
628SD16—1228no—
629D8—1228no—
630D8—1228no—
631M16—24no—
632C2×C8—612no—
633C2×C8—612no—
634C2×C8—1222no—
635C2×C8—1222no—
636C2×C8C23×D6114yes—
637C4⋊C4—21no—
638C4⋊C4—22no—
639C4⋊C4—21no—
640C4⋊C4—22no—
641C4⋊C4—21no—
642C4⋊C4—614no—
643C4⋊C4—612no—
644C4⋊C4—612no—
645C4⋊C4—614no—
646C4⋊C4—612no—
647C4⋊C4—612no—
648C4⋊C4—612no—
649C4⋊C4—1224no—
650C4⋊C4—1224no—
651C4⋊C4—1224no—
652C4⋊C4—1224no—
653C4⋊C4—1221no—
654C4⋊C4—1221no—
655C4⋊C4—1221no—
656C4⋊C4C23×D6112yes—
657C4⋊C4C23×D6112yes—
658C4⋊C4C23×D6112yes—
659C22⋊C4—22no—
660C22⋊C4—22no—
661C22⋊C4—22no—
662C22⋊C4—614no—
663C22⋊C4—1224no—
664C22⋊C4—1224no—
665C22⋊C4—1224no—
666C22⋊C4—1224no—
667C22⋊C4—1224no—
668C22⋊C4—1222no—
669C22⋊C4—1222no—
670C22⋊C4—1222no—
671C22⋊C4—1222no—
672C42—22no—
673C42—614no—
674C42—1224no—
675C42D4×D6111yescharacteristic
676C42D4×D6111yescharacteristic
677C42C23×D6111yescharacteristic
678C42C23×D6111yescharacteristic
679C23—22no—
680C23—42no—
681C23—81no—
682C23—81no—
683C23—1224no—
684C23—1222no—
685C23—1222no—
686C23—4881no—
687C23—4881no—
688C23C2×D4×D6111yescharacteristic
689Q8—42no—
690Q8—81no—
691Q8—1222no—
692Q8—1222no—
693Q8—4884no—
694Q8—2442no—
695Q8—2442no—
696D4—22no—
697D4—22no—
698D4—42no—
699D4—614no—
700D4—1222no—
701D4—1222no—
702D4—1222no—
703D4—1224no—
704D4—4881no—
705D4—4884no—
706D4—4884no—
707D4—2442no—
708D4—2444no—
709C2×C4—22no—
710C2×C4—22no—
711C2×C4—22no—
712C2×C4—41no—
713C2×C4—41no—
714C2×C4—44no—
715C2×C4—82no—
716C2×C4—81no—
717C2×C4—614no—
718C2×C4—614no—
719C2×C4—1222no—
720C2×C4—1222no—
721C2×C4—4882no—
722C2×C4—4884no—
723C2×C4—4884no—
724C2×C4—4884no—
725C2×C4—4881no—
726C2×C4—2444no—
727C2×C4—2444no—
728C2×C4C2×D4×D6111yescharacteristic
729C2×C4C2×D4×D6111yescharacteristic
730C2×C4C2×D4×D6111yescharacteristic
731C2×C4C2×D4×D6111yescharacteristic
732C2×C4C2×D4×D6111yescharacteristic
733C2×C4#41×D6112yes—
734C2×C4#1451982512yes—
735C2×C4C24×D6111yescharacteristic
736C8—24no—
737C8—1222no—
738C8—1222no—
739C22—21no—
740C22—21no—
741C22—42no—
742C22—42no—
743C22—42no—
744C22—84no—
745C22—1224no—
746C22—4884no—
747C22—2442no—
748C22—2442no—
749C22—2442no—
750C22—2442no—
751C22—2442no—
752C22#1684042212yes—
753C22C22×D4×D6111yescharacteristic
754C4—21no—
755C4—21no—
756C4—21no—
757C4—21no—
758C4—42no—
759C4—42no—
760C4—42no—
761C4—1224no—
762C4—1224no—
763C4—2442no—
764C4—2442no—
765C4#1684042212yes—
766C4C2×#41×D6111yescharacteristic
767C4C2×#1451982511yescharacteristic
768C2—22no—
769C2—82no—
770C2—4882no—
771C2—2444no—
772C2C2×#1684042211yescharacteristic
773C2#2146059511yescharacteristic
774C2#2146059611yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3077C2
socleC22×C61C23×D4
hypercenter#3077D61
hypocenterC61#61332
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #3077

Complements

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

NH ≅ G/Ntype
1. #21459671C2semidirect
2. #21459620C2semidirect
3. #21458649C2semidirect
4. #21458614C2semidirect
5. #21458579C2semidirect
6. #21458529C2semidirect
7. #21456169C2semidirect
8. #21456167C2semidirect
9. #21455680C2semidirect
10. #21455321C2semidirect
11. #21455285C2semidirect
12. #21454756C2semidirect
13. #21454649C2semidirect
14. C2×#16839872C2semidirect
15. C61×#3077C2semidirect
18. #16840495C22semidirect
19. #16840482C22semidirect
21. #16840473C22semidirect
24. #16840468C22semidirect
26. #16840433C22semidirect
28. #16840427C22semidirect
41. #16840132C22semidirect
42. #16840128C22semidirect
43. #16840125C22semidirect
44. #16840124C22semidirect
45. #16840124C22semidirect
46. #16840120C22semidirect
47. #16840115C22semidirect
48. #16840107C22semidirect
49. #16840068C22semidirect
50. #16840065C22semidirect
51. #16840051C22semidirect
52. #16840046C22semidirect
53. #16839978C22semidirect
56. #16839968C22semidirect
57. #16839958C22semidirect
60. #16839891C22semidirect
61. #16839891C22semidirect
62. #16839873C22semidirect
65. #16839861C22semidirect
66. #16839849C22semidirect
67. #16839844C22semidirect
79. C61×#478C22semidirect
80. C61×#476C22semidirect
81. C61×#474C22semidirect
226. C2×D244#41semidirect
390. #3077D61semidirect
440. #478C2×D61semidirect
442. #476C2×D61semidirect
444. #474C2×D61semidirect
472. C61#61332semidirect

Maximal subgroups

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

subgroupindex
#214596712
#214596202
#214586492
#214586142
#214585792
#214585292
#214561692
#214561672
#214556802
#214553212
#214552852
#214547562
#214546492
C2×#168398722
C61×#30772
#6133261