Finite Group Databasebeta

← C61×#23995 #29527428

Subgroups — C61×#23995 #29527428

Order 15616.

1164 conjugacy classes of subgroups.

The subgroup lattice has 694 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3455C211yesmaximal, characteristic, complemented
2C61×#3025C211yesmaximal, characteristic, complemented
3C61×#3018C211yesmaximal, characteristic, complemented
4C61×#2901C211yesmaximal, characteristic, complemented
5C61×#2031C212yesmaximal, complemented
6C61×#2010C212yesmaximal, complemented
7C61×#1906C212yesmaximal, complemented
8C61×#1897C212yesmaximal, complemented
9C61×#1891C211yesmaximal, characteristic, complemented
10C61×#1884C211yesmaximal, characteristic, complemented
11C61×#1827C211yesmaximal, characteristic, complemented
12C61×#585C2211yescharacteristic
13C61×#575C2212yes—
14C61×#568C2211yescharacteristic
15C61×#542—21no—
16C61×#542—21no—
17C61×#541—21no—
18C61×#540—21no—
19C61×#539—22no—
20C61×#538—22no—
21C61×#533C2211yescharacteristic, complemented
22C61×#532C2211yescharacteristic
23C61×#529—22no—
24C61×#529—22no—
25C61×#525C2211yescharacteristic
26C61×#525C2212yes—
27C61×#525C2211yescharacteristic, complemented
28C4×#41×C61C2211yescharacteristic
29C4×#41×C61C2211yescharacteristic, complemented
30C2×#117×C61C2211yescharacteristic, complemented
31C61×#458—22no—
32C61×B(4,𝔽2)—22no—
33C61×#456—21no—
34C61×#455—21no—
35C61×#454—21no—
36C61×#453—21no—
37C61×#421—22no—
38C61×#421C2212yes—
39C61×#421C2212yescomplemented
40C2×#104×C61—22no—
41C2×#104×C61C2212yes—
42C2×#104×C61C2212yes—
43C61×#413C2211yescharacteristic
44C61×#410C2212yes—
45C61×#410C2211yescharacteristic
46C61×#407C2212yescomplemented
47C61×#344C2212yescomplemented
48C61×#339C2212yescomplemented
49C61×#339C2212yescomplemented
50C61×H(3,ℤ/4)C2212yescomplemented
512−1+4×C61—22no—
522−1+4×C61—21no—
53H(5,𝔽2)×C61—22no—
54H(5,𝔽2)×C61—22no—
55H(5,𝔽2)×C61—21no—
56C2×#41×C61—22no—
57C2×#41×C61—42no—
58C2×#41×C61C2311yescharacteristic
59C2×#41×C61C2312yes—
60C2×#41×C61C2311yescharacteristic
61C23×C4×C61C2311yescharacteristic
62#137×C61—22no—
63#137×C61—22no—
64AGL(1,ℤ/8)×C61—22no—
65AGL(1,ℤ/8)×C61—22no—
66#135×C61—42no—
67#131×C61—42no—
68C2×M16×C61—22no—
69C2×M16×C61C2312yes—
70C2×M16×C61C2312yes—
71C4⋊Q8×C61—21no—
72C4⋊Q8×C61D411yescharacteristic, complemented
73#127×C61D411yescharacteristic, complemented
74#126×C61—22no—
75#126×C61—22no—
76#126×C61—22no—
77#126×C61—22no—
78#125×C61—22no—
79#125×C61—22no—
80#125×C61—21no—
81#124×C61—22no—
82#124×C61—22no—
83#124×C61D411yescharacteristic, complemented
84#124×C61D411yescharacteristic, complemented
85#123×C61—22no—
86#123×C61—22no—
87#123×C61—22no—
88#123×C61—22no—
89#123×C61—21no—
90#123×C61—22no—
91#123×C61D412yes—
92C22⋊Q8×C61—22no—
93C22⋊Q8×C61—22no—
94C22⋊Q8×C61—21no—
95C22⋊Q8×C61—21no—
96C22⋊Q8×C61—22no—
97C22⋊Q8×C61—22no—
98#121×C61—22no—
99#121×C61—22no—
100#121×C61—22no—
101#121×C61—21no—
102#121×C61—21no—
103#121×C61—22no—
104#120×C61—21no—
105#120×C61—22no—
106#120×C61D412yes—
107C4×Q8×C61—21no—
108C4×Q8×C61—21no—
109C4×Q8×C61—22no—
110C4×D4×C61—22no—
111C4×D4×C61—21no—
112C4×D4×C61—21no—
113C4×D4×C61—22no—
114C4×D4×C61—22no—
115C4×D4×C61—22no—
116C4×D4×C61—22no—
117C4×D4×C61—42no—
118#117×C61—21no—
119#117×C61—21no—
120#117×C61—21no—
121#117×C61—21no—
122#117×C61—21no—
123#117×C61D412yescomplemented
124#117×C61C2312yes—
125#117×C61C2311yescharacteristic
126#117×C61C2311yescharacteristic
127C2×C4⋊C4×C61—21no—
128C2×C22⋊C4×C61—21no—
129C2×C42×C61—21no—
130C2×C42×C61D412yescomplemented
131C2×C42×C61C2311yescharacteristic
132C2×C42×C61C2311yescharacteristic
133#104×C61—22no—
134#104×C61—24no—
135#104×C61—22no—
136#104×C61—22no—
137#104×C61—22no—
138#104×C61—42no—
139#101×C61—21no—
140#100×C61—21no—
141#99×C61—22no—
142#99×C61—24no—
143C22⋊C8×C61—42no—
144C24×C61C2×D411yescharacteristic
145#41×C61—22no—
146#41×C61—22no—
147#41×C61—24no—
148#41×C61—22no—
149#41×C61—22no—
150#41×C61—22no—
151#41×C61—22no—
152#41×C61—22no—
153#41×C61—22no—
154#41×C61—44no—
155#41×C61—42no—
156#41×C61—42no—
157#41×C61—42no—
158#41×C61—42no—
159C2×Q8×C61—22no—
160C2×Q8×C61—22no—
161C2×Q8×C61—42no—
162C2×Q8×C61C2×D411yescharacteristic
163C2×Q8×C61C2×D411yescharacteristic
164C2×Q8×C61#4112yes—
165C2×D4×C61—22no—
166C2×D4×C61—22no—
167C2×D4×C61—21no—
168C2×D4×C61—22no—
169C2×D4×C61—22no—
170C2×D4×C61—22no—
171C2×D4×C61—42no—
172C2×D4×C61—44no—
173C2×D4×C61—42no—
174C2×D4×C61—42no—
175C2×D4×C61C2×D412yes—
176C2×D4×C61C2×D411yescharacteristic
177C2×D4×C61C2×D411yescharacteristic
178C2×D4×C61#4112yes—
179C22×C4×C61—22no—
180C22×C4×C61—22no—
181C22×C4×C61—21no—
182C22×C4×C61—21no—
183C22×C4×C61—21no—
184C22×C4×C61—21no—
185C22×C4×C61—21no—
186C22×C4×C61—22no—
187C22×C4×C61—22no—
188C22×C4×C61—22no—
189C22×C4×C61—42no—
190C22×C4×C61C2×D411yescharacteristic
191C22×C4×C61C2×D412yes—
192C22×C4×C61C2411yescharacteristic
193Q16×C61—42no—
194SD16×C61—42no—
195SD16×C61—42no—
196D8×C61—42no—
197M16×C61—22no—
198M16×C61—22no—
199M16×C61—22no—
200M16×C61—22no—
201M16×C61—42no—
202C2×C8×C61—22no—
203C2×C8×C61—22no—
204C2×C8×C61—42no—
205C4⋊C4×C61—21no—
206C4⋊C4×C61—21no—
207C4⋊C4×C61—21no—
208C4⋊C4×C61—21no—
209C4⋊C4×C61—22no—
210C4⋊C4×C61—22no—
211C4⋊C4×C61—22no—
212C4⋊C4×C61—22no—
213C4⋊C4×C61—22no—
214C4⋊C4×C61—22no—
215C4⋊C4×C61—22no—
216C4⋊C4×C61—22no—
217C4⋊C4×C61—21no—
218C4⋊C4×C61—21no—
219C4⋊C4×C61—22no—
220C4⋊C4×C61—42no—
221C22⋊C4×C61—21no—
222C22⋊C4×C61—21no—
223C22⋊C4×C61—21no—
224C22⋊C4×C61—21no—
225C22⋊C4×C61—22no—
226C22⋊C4×C61—22no—
227C22⋊C4×C61—22no—
228C22⋊C4×C61—22no—
229C22⋊C4×C61—22no—
230C22⋊C4×C61—22no—
231C22⋊C4×C61—21no—
232C22⋊C4×C61—22no—
233C22⋊C4×C61—22no—
234C22⋊C4×C61—22no—
235C22⋊C4×C61—42no—
236C22⋊C4×C61—42no—
237C22⋊C4×C61C2×D412yes—
238C42×C61—22no—
239C42×C61—22no—
240C42×C61—21no—
241C42×C61—21no—
242C42×C61—21no—
243C42×C61—22no—
244C42×C61C2×D411yescharacteristic
245C42×C61C2×D411yescharacteristic
246C42×C61C2×D412yes—
247C42×C61C2×D411yescharacteristic
248C42×C61C2×D411yescharacteristic
249C23×C61—21no—
250C23×C61—21no—
251C23×C61—22no—
252C23×C61—22no—
253C23×C61—42no—
254C23×C61—81no—
255C23×C61#12012yes—
256C23×C61C22×D411yescharacteristic
257Q8×C61—22no—
258Q8×C61—22no—
259Q8×C61—22no—
260Q8×C61—22no—
261Q8×C61—42no—
262Q8×C61—82no—
263D4×C61—24no—
264D4×C61—22no—
265D4×C61—22no—
266D4×C61—22no—
267D4×C61—22no—
268D4×C61—42no—
269D4×C61—44no—
270D4×C61—42no—
271D4×C61—42no—
272D4×C61—42no—
273D4×C61—82no—
274D4×C61—82no—
275D4×C61—82no—
276D4×C61—84no—
277C2×C4×C61—22no—
278C2×C4×C61—22no—
279C2×C4×C61—21no—
280C2×C4×C61—21no—
281C2×C4×C61—21no—
282C2×C4×C61—22no—
283C2×C4×C61—21no—
284C2×C4×C61—22no—
285C2×C4×C61—21no—
286C2×C4×C61—21no—
287C2×C4×C61—22no—
288C2×C4×C61—22no—
289C2×C4×C61—44no—
290C2×C4×C61—42no—
291C2×C4×C61—41no—
292C2×C4×C61—41no—
293C2×C4×C61—41no—
294C2×C4×C61—42no—
295C2×C4×C61—41no—
296C2×C4×C61—42no—
297C2×C4×C61—42no—
298C2×C4×C61—42no—
299C2×C4×C61—81no—
300C2×C4×C61—82no—
301C2×C4×C61—82no—
302C2×C4×C61—81no—
303C2×C4×C61#12012yes—
304C2×C4×C61C22×D411yescharacteristic
305C2×C4×C61C22×D411yescharacteristic
306C2×C4×C61C2×#4112yes—
307C2×C4×C61H(5,𝔽2)12yes—
308C8×C61—42no—
309C8×C61—42no—
310#23995C6111yesmaximal, characteristic, direct product factor, Sylow
311C22×C61—22no—
312C22×C61—41no—
313C22×C61—42no—
314C22×C61—42no—
315C22×C61—41no—
316C22×C61—41no—
317C22×C61—42no—
318C22×C61—42no—
319C22×C61—42no—
320C22×C61—41no—
321C22×C61—41no—
322C22×C61—82no—
323C22×C61—162no—
324C22×C61C2×#12011yescharacteristic
325C22×C61#54612yes—
326C4×C61—22no—
327C4×C61—41no—
328C4×C61—41no—
329C4×C61—41no—
330C4×C61—42no—
331C4×C61—42no—
332C4×C61—41no—
333C4×C61—41no—
334C4×C61—42no—
335C4×C61—41no—
336C4×C61—82no—
337C4×C61#52511yescharacteristic
338C4×C61#53511yescharacteristic
339C4×C61#54612yes—
340#3455C2×C6111yescharacteristic, complemented
341#3025C2×C6111yescharacteristic, complemented
342#3018C2×C6111yescharacteristic, complemented
343#2901C2×C6111yescharacteristic, complemented
344#2031C2×C6112yescomplemented
345#2010C2×C6112yescomplemented
346#1906C2×C6112yescomplemented
347#1897C2×C6112yescomplemented
348#1891C2×C6111yescharacteristic, complemented
349#1884C2×C6111yescharacteristic, complemented
350#1827C2×C6111yescharacteristic, complemented
351C2×C61—21no—
352C2×C61—22no—
353C2×C61—42no—
354C2×C61—81no—
355C2×C61—81no—
356C2×C61—82no—
357C2×C61#240411yescharacteristic
358#585C22×C6111yescharacteristic
359#575C22×C6112yes—
360#568C22×C6111yescharacteristic
361#542—21no—
362#542—21no—
363#541—21no—
364#540—21no—
365#539—22no—
366#538—22no—
367#533C22×C6111yescharacteristic, complemented
368#532C22×C6111yescharacteristic
369#529—22no—
370#529—22no—
371#525C22×C6111yescharacteristic
372#525C22×C6112yes—
373#525C22×C6111yescharacteristic, complemented
374C4×#41C22×C6111yescharacteristic
375C4×#41C22×C6111yescharacteristic, complemented
376C2×#117C22×C6111yescharacteristic, complemented
377#458—22no—
378B(4,𝔽2)—22no—
379#456—21no—
380#455—21no—
381#454—21no—
382#453—21no—
383#421—22no—
384#421C22×C6112yes—
385#421C22×C6112yescomplemented
386C2×#104—22no—
387C2×#104C22×C6112yes—
388C2×#104C22×C6112yes—
389#413C22×C6111yescharacteristic
390#410C22×C6111yescharacteristic
391#410C22×C6112yes—
392#407C22×C6112yescomplemented
393#344C22×C6112yescomplemented
394#339C22×C6112yescomplemented
395#339C22×C6112yescomplemented
396H(3,ℤ/4)C22×C6112yescomplemented
397C61#2399511yescharacteristic, direct product factor, Sylow
3982−1+4—22no—
3992−1+4—21no—
400H(5,𝔽2)—22no—
401H(5,𝔽2)—22no—
402H(5,𝔽2)—21no—
403C2×#41—22no—
404C2×#41—42no—
405C2×#41C23×C6111yescharacteristic
406C2×#41C23×C6112yes—
407C2×#41C23×C6111yescharacteristic
408C23×C4C23×C6111yescharacteristic
409#137—22no—
410#137—22no—
411AGL(1,ℤ/8)—22no—
412AGL(1,ℤ/8)—22no—
413#135—42no—
414#131—42no—
415C2×M16—22no—
416C2×M16C23×C6112yes—
417C2×M16C23×C6112yes—
418C4⋊Q8—21no—
419C4⋊Q8D4×C6111yescharacteristic, complemented
420#127D4×C6111yescharacteristic, complemented
421#126—22no—
422#126—22no—
423#126—22no—
424#126—22no—
425#125—22no—
426#125—22no—
427#125—21no—
428#124—22no—
429#124—22no—
430#124D4×C6111yescharacteristic, complemented
431#124D4×C6111yescharacteristic, complemented
432#123—22no—
433#123—22no—
434#123—22no—
435#123—22no—
436#123—21no—
437#123—22no—
438#123D4×C6112yes—
439C22⋊Q8—22no—
440C22⋊Q8—22no—
441C22⋊Q8—21no—
442C22⋊Q8—21no—
443C22⋊Q8—22no—
444C22⋊Q8—22no—
445#121—22no—
446#121—22no—
447#121—21no—
448#121—21no—
449#121—22no—
450#121—22no—
451#120—21no—
452#120—22no—
453#120D4×C6112yes—
454C4×Q8—21no—
455C4×Q8—21no—
456C4×Q8—22no—
457C4×D4—22no—
458C4×D4—21no—
459C4×D4—21no—
460C4×D4—22no—
461C4×D4—22no—
462C4×D4—22no—
463C4×D4—22no—
464C4×D4—42no—
465#117—21no—
466#117—21no—
467#117—21no—
468#117—21no—
469#117—21no—
470#117D4×C6112yescomplemented
471#117C23×C6112yes—
472#117C23×C6111yescharacteristic
473#117C23×C6111yescharacteristic
474C2×C4⋊C4—21no—
475C2×C22⋊C4—21no—
476C2×C42—21no—
477C2×C42D4×C6112yescomplemented
478C2×C42C23×C6111yescharacteristic
479C2×C42C23×C6111yescharacteristic
480#104—22no—
481#104—24no—
482#104—22no—
483#104—22no—
484#104—22no—
485#104—42no—
486#101—21no—
487#100—21no—
488#99—22no—
489#99—24no—
490C22⋊C8—42no—
491C24C2×D4×C6111yescharacteristic
492#41—22no—
493#41—22no—
494#41—24no—
495#41—22no—
496#41—22no—
497#41—22no—
498#41—22no—
499#41—22no—
500#41—22no—
501#41—44no—
502#41—42no—
503#41—42no—
504#41—42no—
505#41—42no—
506C2×Q8—22no—
507C2×Q8—22no—
508C2×Q8—42no—
509C2×Q8C2×D4×C6111yescharacteristic
510C2×Q8C2×D4×C6111yescharacteristic
511C2×Q8#41×C6112yes—
512C2×D4—22no—
513C2×D4—22no—
514C2×D4—21no—
515C2×D4—22no—
516C2×D4—22no—
517C2×D4—22no—
518C2×D4—42no—
519C2×D4—44no—
520C2×D4—42no—
521C2×D4—42no—
522C2×D4C2×D4×C6112yes—
523C2×D4C2×D4×C6111yescharacteristic
524C2×D4C2×D4×C6111yescharacteristic
525C2×D4#41×C6112yes—
526C22×C4—22no—
527C22×C4—22no—
528C22×C4—21no—
529C22×C4—21no—
530C22×C4—21no—
531C22×C4—21no—
532C22×C4—21no—
533C22×C4—22no—
534C22×C4—22no—
535C22×C4—22no—
536C22×C4—42no—
537C22×C4C2×D4×C6111yescharacteristic
538C22×C4C2×D4×C6112yes—
539C22×C4C24×C6111yescharacteristic
540Q16—42no—
541SD16—42no—
542SD16—42no—
543D8—42no—
544M16—22no—
545M16—22no—
546M16—22no—
547M16—22no—
548M16—42no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—42no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—21no—
555C4⋊C4—21no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—22no—
567C4⋊C4—42no—
568C22⋊C4—21no—
569C22⋊C4—21no—
570C22⋊C4—21no—
571C22⋊C4—21no—
572C22⋊C4—22no—
573C22⋊C4—22no—
574C22⋊C4—22no—
575C22⋊C4—22no—
576C22⋊C4—22no—
577C22⋊C4—22no—
578C22⋊C4—21no—
579C22⋊C4—22no—
580C22⋊C4—22no—
581C22⋊C4—22no—
582C22⋊C4—42no—
583C22⋊C4—42no—
584C22⋊C4C2×D4×C6112yes—
585C42—22no—
586C42—22no—
587C42—21no—
588C42—21no—
589C42—21no—
590C42—22no—
591C42C2×D4×C6111yescharacteristic
592C42C2×D4×C6111yescharacteristic
593C42C2×D4×C6112yes—
594C42C2×D4×C6111yescharacteristic
595C42C2×D4×C6111yescharacteristic
596C23—22no—
597C23—21no—
598C23—21no—
599C23—22no—
600C23—42no—
601C23—81no—
602C23#120×C6112yes—
603C23C22×D4×C6111yescharacteristic
604Q8—22no—
605Q8—22no—
606Q8—22no—
607Q8—22no—
608Q8—42no—
609Q8—82no—
610D4—24no—
611D4—22no—
612D4—22no—
613D4—22no—
614D4—22no—
615D4—42no—
616D4—44no—
617D4—42no—
618D4—42no—
619D4—42no—
620D4—82no—
621D4—82no—
622D4—82no—
623D4—84no—
624C2×C4—22no—
625C2×C4—22no—
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—21no—
633C2×C4—22no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—44no—
637C2×C4—42no—
638C2×C4—41no—
639C2×C4—42no—
640C2×C4—41no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—42no—
646C2×C4—81no—
647C2×C4—82no—
648C2×C4—82no—
649C2×C4—81no—
650C2×C4#120×C6112yes—
651C2×C4C22×D4×C6111yescharacteristic
652C2×C4C22×D4×C6111yescharacteristic
653C2×C4C2×#41×C6112yes—
654C2×C4H(5,𝔽2)×C6112yes—
655C8—42no—
656C8—42no—
657C22—22no—
658C22—41no—
659C22—42no—
660C22—42no—
661C22—41no—
662C22—41no—
663C22—42no—
664C22—42no—
665C22—42no—
666C22—41no—
667C22—41no—
668C22—82no—
669C22—162no—
670C22C2×#120×C6111yescharacteristic
671C22C61×#54612yes—
672C4—22no—
673C4—41no—
674C4—41no—
675C4—41no—
676C4—42no—
677C4—42no—
678C4—41no—
679C4—41no—
680C4—42no—
681C4—41no—
682C4—82no—
683C4C61×#52511yescharacteristic
684C4C61×#53511yescharacteristic
685C4C61×#54612yes—
686C2—21no—
687C2—22no—
688C2—42no—
689C2—81no—
690C2—81no—
691C2—82no—
692C2C61×#240411yescharacteristic
subgroupG/H
centerC4×C61#535
commutator, Frattini, cosocleC22×C4C24×C61
socleC2×C61#2404
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C4×C61 ◁ C22×C4×C61 ◁ G

Complements

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

NH ≅ G/Ntype
1. C61×#3455C2semidirect
2. C61×#3025C2semidirect
3. C61×#3018C2semidirect
4. C61×#2901C2semidirect
5. C61×#2031C2semidirect
6. C61×#2010C2semidirect
7. C61×#1906C2semidirect
8. C61×#1897C2semidirect
9. C61×#1891C2semidirect
10. C61×#1884C2semidirect
11. C61×#1827C2semidirect
21. C61×#533C22semidirect
27. C61×#525C22semidirect
29. C4×#41×C61C22semidirect
30. C2×#117×C61C22semidirect
39. C61×#421C22semidirect
46. C61×#407C22semidirect
47. C61×#344C22semidirect
48. C61×#339C22semidirect
49. C61×#339C22semidirect
50. C61×H(3,ℤ/4)C22semidirect
72. C4⋊Q8×C61D4semidirect
73. #127×C61D4semidirect
83. #124×C61D4semidirect
84. #124×C61D4semidirect
123. #117×C61D4semidirect
130. C2×C42×C61D4semidirect
310. #23995C61direct (N × H)
340. #3455C2×C61semidirect
341. #3025C2×C61semidirect
342. #3018C2×C61semidirect
343. #2901C2×C61semidirect
344. #2031C2×C61semidirect
345. #2010C2×C61semidirect
346. #1906C2×C61semidirect
347. #1897C2×C61semidirect
348. #1891C2×C61semidirect
349. #1884C2×C61semidirect
350. #1827C2×C61semidirect
367. #533C22×C61semidirect
373. #525C22×C61semidirect
375. C4×#41C22×C61semidirect
376. C2×#117C22×C61semidirect
385. #421C22×C61semidirect
392. #407C22×C61semidirect
393. #344C22×C61semidirect
394. #339C22×C61semidirect
395. #339C22×C61semidirect
396. H(3,ℤ/4)C22×C61semidirect
397. C61#23995direct (N × H)
419. C4⋊Q8D4×C61semidirect
420. #127D4×C61semidirect
430. #124D4×C61semidirect
431. #124D4×C61semidirect
470. #117D4×C61semidirect
477. C2×C42D4×C61semidirect

Maximal subgroups

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

subgroupindex
C61×#34552
C61×#30252
C61×#30182
C61×#29012
C61×#20312
C61×#20102
C61×#19062
C61×#18972
C61×#18912
C61×#18842
C61×#18272
#2399561