Finite Group Databasebeta

← C61×#18254 #29521687

Subgroups — C61×#18254 #29521687

Order 15616.

1508 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3537C211yesmaximal, characteristic, complemented
2C61×#3003C211yesmaximal, characteristic, complemented
3C2×C61×#447C211yesmaximal, characteristic, complemented
4C61×#2433C211yesmaximal, characteristic, complemented
5C61×#1600C214yesmaximal, complemented
6C61×#1595C214yesmaximal, complemented
7C61×#1507C211yesmaximal, characteristic, complemented
8C61×#1501C211yesmaximal, characteristic, complemented
9C61×#1471C211yesmaximal, characteristic, complemented
10C23×D4×C61C2211yescharacteristic, complemented
11C2×AGL(1,ℤ/8)×C61—21no—
12C22×D8×C61—21no—
13C61×#560—22no—
14C61×#553—21no—
15C61×#553—21no—
16D42×C61—22no—
17D42×C61—21no—
18D42×C61—21no—
19C61×#540—21no—
20C61×#538—21no—
21C61×#538C2212yescomplemented
22C61×#535—21no—
23C61×#534—21no—
24C61×#534C2212yescomplemented
25C2×#127×C61—21no—
26C61×#525C2211yescharacteristic
27C2×#121×C61C2211yescharacteristic
28C2×#121×C61C2211yescharacteristic
29C2×#120×C61—22no—
30C61×#450—21no—
31C61×#450C2212yescomplemented
32C61×#447—22no—
33C61×#447—21no—
34C61×#447C2212yescomplemented
35C61×#447C2214yescomplemented
36C61×#418—21no—
37C2×#102×C61—21no—
38C61×#407C2211yescharacteristic, complemented
39C2×C22⋊C8×C61C2211yescharacteristic, complemented
40C61×#392C2214yescomplemented
41C61×#390—21no—
42C4×C22⋊C4×C61C2211yescharacteristic, complemented
43C61×#328C2212yescomplemented
44C61×#327C2212yescomplemented
45C61×#327C2214yescomplemented
46C61×#323C2214yescomplemented
47C25×C61—21no—
48C2×#41×C61D411yescharacteristic, complemented
49C22×D4×C61—22no—
50C22×D4×C61—21no—
51C22×D4×C61—22no—
52C22×D4×C61—21no—
53C22×D4×C61—24no—
54C22×D4×C61—21no—
55C22×D4×C61—21no—
56C22×D4×C61—21no—
57C22×D4×C61—21no—
58C22×D4×C61—21no—
59C22×D4×C61—44no—
60C22×D4×C61D411yescharacteristic
61C22×D4×C61D412yes—
62C22×D4×C61D411yescharacteristic, complemented
63C22×D4×C61C2312yes—
64C23×C4×C61C2311yescharacteristic
65AGL(1,ℤ/8)×C61—44no—
66C2×SD16×C61—22no—
67C2×D8×C61—24no—
68C2×D8×C61—22no—
69C2×D8×C61—44no—
70C2×M16×C61—21no—
71C22×C8×C61—21no—
72#127×C61—22no—
73#127×C61—21no—
74#127×C61—44no—
75#126×C61—22no—
76#126×C61—22no—
77#125×C61—21no—
78#124×C61—22no—
79#123×C61—22no—
80#123×C61—21no—
81#123×C61—22no—
82#123×C61—22no—
83#123×C61—22no—
84C22⋊Q8×C61D411yescharacteristic, complemented
85C22⋊Q8×C61C2311yescharacteristic
86#121×C61—22no—
87#121×C61—21no—
88#121×C61—21no—
89#121×C61—22no—
90#121×C61—22no—
91#121×C61—22no—
92#121×C61—22no—
93#121×C61—21no—
94#121×C61—22no—
95#121×C61—21no—
96#121×C61—21no—
97#121×C61—21no—
98#121×C61—21no—
99#121×C61—21no—
100#121×C61D411yescharacteristic, complemented
101#121×C61D412yescomplemented
102#121×C61C2311yescharacteristic
103#121×C61C2312yes—
104#120×C61—22no—
105#120×C61—22no—
106#120×C61—22no—
107#120×C61—22no—
108#120×C61—21no—
109#120×C61—22no—
110#120×C61—22no—
111#120×C61—48no—
112C4×D4×C61—22no—
113C4×D4×C61—21no—
114C4×D4×C61—21no—
115C4×D4×C61—22no—
116C4×D4×C61—21no—
117C4×D4×C61—21no—
118#117×C61—21no—
119#117×C61D411yescharacteristic, complemented
120C2×C4⋊C4×C61D411yescharacteristic
121C2×C4⋊C4×C61D411yescharacteristic, complemented
122C2×C22⋊C4×C61—21no—
123C2×C22⋊C4×C61—21no—
124C2×C22⋊C4×C61—24no—
125C2×C22⋊C4×C61C2312yes—
126C2×C42×C61—21no—
127#102×C61—24no—
128#102×C61—22no—
129#102×C61—22no—
130C22⋊C8×C61—21no—
131C22⋊C8×C61—21no—
132C22⋊C8×C61C2312yes—
133C22⋊C8×C61C2312yes—
134#95×C61C2312yes—
135C24×C61—22no—
136C24×C61—22no—
137C24×C61—21no—
138C24×C61—44no—
139C24×C61—44no—
140C24×C61—41no—
141C24×C61—41no—
142C24×C61—82no—
143C24×C61C2×D411yescharacteristic
144C24×C61C2×D412yes—
145#41×C61—42no—
146C2×Q8×C61C2×D411yescharacteristic
147C2×D4×C61—24no—
148C2×D4×C61—24no—
149C2×D4×C61—24no—
150C2×D4×C61—22no—
151C2×D4×C61—21no—
152C2×D4×C61—22no—
153C2×D4×C61—21no—
154C2×D4×C61—22no—
155C2×D4×C61—22no—
156C2×D4×C61—22no—
157C2×D4×C61—22no—
158C2×D4×C61—22no—
159C2×D4×C61—21no—
160C2×D4×C61—22no—
161C2×D4×C61—22no—
162C2×D4×C61—21no—
163C2×D4×C61—21no—
164C2×D4×C61—21no—
165C2×D4×C61—22no—
166C2×D4×C61—22no—
167C2×D4×C61—42no—
168C2×D4×C61—42no—
169C2×D4×C61—42no—
170C2×D4×C61—42no—
171C2×D4×C61—42no—
172C2×D4×C61—48no—
173C2×D4×C61—44no—
174C2×D4×C61—44no—
175C2×D4×C61—44no—
176C2×D4×C61—44no—
177C2×D4×C61—48no—
178C2×D4×C61—41no—
179C2×D4×C61—41no—
180C2×D4×C61—82no—
181C2×D4×C61—84no—
182C2×D4×C61—82no—
183C2×D4×C61—84no—
184C2×D4×C61—84no—
185C2×D4×C61C2×D411yescharacteristic
186C2×D4×C61C2×D412yes—
187C22×C4×C61—22no—
188C22×C4×C61—22no—
189C22×C4×C61—22no—
190C22×C4×C61—21no—
191C22×C4×C61—21no—
192C22×C4×C61—42no—
193C22×C4×C61C2×D411yescharacteristic
194C22×C4×C61C2×D411yescharacteristic
195C22×C4×C61C2×D411yescharacteristic
196C22×C4×C61C2×D412yes—
197C22×C4×C61C2×D411yescharacteristic
198C22×C4×C61C2×D411yescharacteristic
199C22×C4×C61C2411yescharacteristic
200SD16×C61—44no—
201D8×C61—48no—
202D8×C61—44no—
203M16×C61—42no—
204C2×C8×C61—22no—
205C2×C8×C61—22no—
206C2×C8×C61—42no—
207C4⋊C4×C61—22no—
208C4⋊C4×C61—22no—
209C4⋊C4×C61—21no—
210C4⋊C4×C61—21no—
211C4⋊C4×C61—21no—
212C4⋊C4×C61—21no—
213C4⋊C4×C61—21no—
214C4⋊C4×C61C2×D412yes—
215C4⋊C4×C61C2×D411yescharacteristic
216C4⋊C4×C61C2×D411yescharacteristic
217C22⋊C4×C61—24no—
218C22⋊C4×C61—22no—
219C22⋊C4×C61—22no—
220C22⋊C4×C61—22no—
221C22⋊C4×C61—22no—
222C22⋊C4×C61—22no—
223C22⋊C4×C61—21no—
224C22⋊C4×C61—21no—
225C22⋊C4×C61—21no—
226C22⋊C4×C61—22no—
227C22⋊C4×C61—21no—
228C22⋊C4×C61—22no—
229C22⋊C4×C61—22no—
230C22⋊C4×C61—22no—
231C22⋊C4×C61—21no—
232C22⋊C4×C61—48no—
233C42×C61—22no—
234C42×C61—21no—
235C42×C61—42no—
236C23×C61—22no—
237C23×C61—22no—
238C23×C61—24no—
239C23×C61—22no—
240C23×C61—22no—
241C23×C61—21no—
242C23×C61—24no—
243C23×C61—41no—
244C23×C61—44no—
245C23×C61—44no—
246C23×C61—44no—
247C23×C61—42no—
248C23×C61—42no—
249C23×C61—42no—
250C23×C61—42no—
251C23×C61—44no—
252C23×C61—42no—
253C23×C61—81no—
254C23×C61—81no—
255C23×C61—82no—
256C23×C61—82no—
257C23×C61—82no—
258C23×C61—82no—
259C23×C61—82no—
260C23×C61—82no—
261C23×C61—816no—
262C23×C61—82no—
263C23×C61#12011yescharacteristic
264C23×C61#12011yescharacteristic
265C23×C61C22×D411yescharacteristic
266Q8×C61—41no—
267D4×C61—24no—
268D4×C61—24no—
269D4×C61—42no—
270D4×C61—41no—
271D4×C61—42no—
272D4×C61—42no—
273D4×C61—44no—
274D4×C61—44no—
275D4×C61—42no—
276D4×C61—44no—
277D4×C61—42no—
278D4×C61—44no—
279D4×C61—42no—
280D4×C61—42no—
281D4×C61—81no—
282D4×C61—82no—
283D4×C61—82no—
284D4×C61—81no—
285D4×C61—82no—
286D4×C61—82no—
287D4×C61—82no—
288D4×C61—82no—
289D4×C61—82no—
290D4×C61—816no—
291C2×C4×C61—22no—
292C2×C4×C61—22no—
293C2×C4×C61—22no—
294C2×C4×C61—24no—
295C2×C4×C61—21no—
296C2×C4×C61—22no—
297C2×C4×C61—22no—
298C2×C4×C61—21no—
299C2×C4×C61—21no—
300C2×C4×C61—41no—
301C2×C4×C61—41no—
302C2×C4×C61—41no—
303C2×C4×C61—42no—
304C2×C4×C61—42no—
305C2×C4×C61—42no—
306C2×C4×C61—42no—
307C2×C4×C61—81no—
308C2×C4×C61—82no—
309C2×C4×C61—82no—
310C2×C4×C61#12011yescharacteristic
311C2×C4×C61#12011yescharacteristic
312C2×C4×C61C22×D411yescharacteristic
313C2×C4×C61C22×D411yescharacteristic
314C8×C61—42no—
315C8×C61—42no—
316#18254C6111yesmaximal, characteristic, direct product factor, Sylow
317C22×C61—21no—
318C22×C61—21no—
319C22×C61—21no—
320C22×C61—21no—
321C22×C61—21no—
322C22×C61—21no—
323C22×C61—21no—
324C22×C61—44no—
325C22×C61—48no—
326C22×C61—42no—
327C22×C61—42no—
328C22×C61—41no—
329C22×C61—42no—
330C22×C61—42no—
331C22×C61—41no—
332C22×C61—41no—
333C22×C61—44no—
334C22×C61—42no—
335C22×C61—42no—
336C22×C61—84no—
337C22×C61—84no—
338C22×C61—88no—
339C22×C61—88no—
340C22×C61—82no—
341C22×C61—82no—
342C22×C61—162no—
343C22×C61—164no—
344C22×C61#45312yes—
345C22×C61C2×#12011yescharacteristic
346C22×C61#57612yes—
347C4×C61—21no—
348C4×C61—21no—
349C4×C61—21no—
350C4×C61—44no—
351C4×C61—42no—
352C4×C61—41no—
353C4×C61—42no—
354C4×C61—41no—
355C4×C61—41no—
356C4×C61B(4,𝔽2)12yes—
357#3537C2×C6111yescharacteristic, complemented
358#3003C2×C6111yescharacteristic, complemented
359C2×#447C2×C6111yescharacteristic, complemented
360#2433C2×C6111yescharacteristic, complemented
361#1600C2×C6114yescomplemented
362#1595C2×C6114yescomplemented
363#1507C2×C6111yescharacteristic, complemented
364#1501C2×C6111yescharacteristic, complemented
365#1471C2×C6111yescharacteristic, complemented
366C2×C61—22no—
367C2×C61—22no—
368C2×C61—41no—
369C2×C61—84no—
370C2×C61—82no—
371C2×C61—82no—
372C2×C61—81no—
373C2×C61#300811yescharacteristic
374C2×C61C2×#45311yescharacteristic
375C2×C61C2×B(4,𝔽2)11yescharacteristic
376C23×D4C22×C6111yescharacteristic, complemented
377C2×AGL(1,ℤ/8)—21no—
378C22×D8—21no—
379#560—22no—
380#553—21no—
381#553—21no—
382D42—22no—
383D42—21no—
384D42—21no—
385#540—21no—
386#538—21no—
387#538C22×C6112yescomplemented
388#535—21no—
389#534—21no—
390#534C22×C6112yescomplemented
391C2×#127—21no—
392#525C22×C6111yescharacteristic
393C2×#121C22×C6111yescharacteristic
394C2×#121C22×C6111yescharacteristic
395C2×#120—22no—
396#450—21no—
397#450C22×C6112yescomplemented
398#447—22no—
399#447—21no—
400#447C22×C6112yescomplemented
401#447C22×C6114yescomplemented
402#418—21no—
403C2×#102—21no—
404#407C22×C6111yescharacteristic, complemented
405C2×C22⋊C8C22×C6111yescharacteristic, complemented
406#392C22×C6114yescomplemented
407#390—21no—
408C4×C22⋊C4C22×C6111yescharacteristic, complemented
409#328C22×C6112yescomplemented
410#327C22×C6112yescomplemented
411#327C22×C6114yescomplemented
412#323C22×C6114yescomplemented
413C61#1825411yescharacteristic, direct product factor, Sylow
414C25—21no—
415C2×#41D4×C6111yescharacteristic, complemented
416C22×D4—22no—
417C22×D4—21no—
418C22×D4—21no—
419C22×D4—22no—
420C22×D4—24no—
421C22×D4—21no—
422C22×D4—21no—
423C22×D4—21no—
424C22×D4—21no—
425C22×D4—21no—
426C22×D4—44no—
427C22×D4D4×C6112yes—
428C22×D4D4×C6111yescharacteristic
429C22×D4D4×C6111yescharacteristic, complemented
430C22×D4C23×C6112yes—
431C23×C4C23×C6111yescharacteristic
432AGL(1,ℤ/8)—44no—
433C2×SD16—22no—
434C2×D8—24no—
435C2×D8—22no—
436C2×D8—44no—
437C2×M16—21no—
438C22×C8—21no—
439#127—22no—
440#127—21no—
441#127—44no—
442#126—22no—
443#126—22no—
444#125—21no—
445#124—22no—
446#123—22no—
447#123—21no—
448#123—22no—
449#123—22no—
450#123—22no—
451C22⋊Q8D4×C6111yescharacteristic, complemented
452C22⋊Q8C23×C6111yescharacteristic
453#121—22no—
454#121—21no—
455#121—21no—
456#121—22no—
457#121—22no—
458#121—22no—
459#121—22no—
460#121—21no—
461#121—21no—
462#121—21no—
463#121—21no—
464#121—21no—
465#121—21no—
466#121—22no—
467#121D4×C6112yescomplemented
468#121D4×C6111yescharacteristic, complemented
469#121C23×C6112yes—
470#121C23×C6111yescharacteristic
471#120—22no—
472#120—22no—
473#120—22no—
474#120—21no—
475#120—22no—
476#120—22no—
477#120—22no—
478#120—48no—
479C4×D4—22no—
480C4×D4—21no—
481C4×D4—21no—
482C4×D4—21no—
483C4×D4—21no—
484C4×D4—22no—
485#117—21no—
486#117D4×C6111yescharacteristic, complemented
487C2×C4⋊C4D4×C6111yescharacteristic
488C2×C4⋊C4D4×C6111yescharacteristic, complemented
489C2×C22⋊C4—21no—
490C2×C22⋊C4—21no—
491C2×C22⋊C4—24no—
492C2×C22⋊C4C23×C6112yes—
493C2×C42—21no—
494#102—24no—
495#102—22no—
496#102—22no—
497C22⋊C8—21no—
498C22⋊C8—21no—
499C22⋊C8C23×C6112yes—
500C22⋊C8C23×C6112yes—
501#95C23×C6112yes—
502C24—22no—
503C24—22no—
504C24—21no—
505C24—44no—
506C24—44no—
507C24—41no—
508C24—41no—
509C24—82no—
510C24C2×D4×C6111yescharacteristic
511C24C2×D4×C6112yes—
512#41—42no—
513C2×Q8C2×D4×C6111yescharacteristic
514C2×D4—24no—
515C2×D4—24no—
516C2×D4—24no—
517C2×D4—22no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—22no—
521C2×D4—22no—
522C2×D4—22no—
523C2×D4—22no—
524C2×D4—22no—
525C2×D4—22no—
526C2×D4—21no—
527C2×D4—22no—
528C2×D4—22no—
529C2×D4—21no—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—22no—
533C2×D4—22no—
534C2×D4—42no—
535C2×D4—42no—
536C2×D4—42no—
537C2×D4—42no—
538C2×D4—42no—
539C2×D4—48no—
540C2×D4—44no—
541C2×D4—44no—
542C2×D4—44no—
543C2×D4—44no—
544C2×D4—48no—
545C2×D4—41no—
546C2×D4—41no—
547C2×D4—82no—
548C2×D4—84no—
549C2×D4—82no—
550C2×D4—84no—
551C2×D4—84no—
552C2×D4C2×D4×C6111yescharacteristic
553C2×D4C2×D4×C6112yes—
554C22×C4—22no—
555C22×C4—22no—
556C22×C4—22no—
557C22×C4—21no—
558C22×C4—21no—
559C22×C4—42no—
560C22×C4C2×D4×C6111yescharacteristic
561C22×C4C2×D4×C6111yescharacteristic
562C22×C4C2×D4×C6111yescharacteristic
563C22×C4C2×D4×C6112yes—
564C22×C4C2×D4×C6111yescharacteristic
565C22×C4C2×D4×C6111yescharacteristic
566C22×C4C24×C6111yescharacteristic
567SD16—44no—
568D8—48no—
569D8—44no—
570M16—42no—
571C2×C8—22no—
572C2×C8—22no—
573C2×C8—42no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—21no—
579C4⋊C4—21no—
580C4⋊C4—21no—
581C4⋊C4C2×D4×C6112yes—
582C4⋊C4C2×D4×C6111yescharacteristic
583C4⋊C4C2×D4×C6111yescharacteristic
584C22⋊C4—24no—
585C22⋊C4—22no—
586C22⋊C4—22no—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—22no—
590C22⋊C4—21no—
591C22⋊C4—21no—
592C22⋊C4—21no—
593C22⋊C4—22no—
594C22⋊C4—21no—
595C22⋊C4—22no—
596C22⋊C4—22no—
597C22⋊C4—22no—
598C22⋊C4—21no—
599C22⋊C4—48no—
600C42—22no—
601C42—21no—
602C42—42no—
603C23—22no—
604C23—22no—
605C23—24no—
606C23—22no—
607C23—22no—
608C23—21no—
609C23—24no—
610C23—41no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—44no—
618C23—42no—
619C23—42no—
620C23—81no—
621C23—81no—
622C23—82no—
623C23—82no—
624C23—82no—
625C23—82no—
626C23—82no—
627C23—82no—
628C23—816no—
629C23—82no—
630C23#120×C6111yescharacteristic
631C23#120×C6111yescharacteristic
632C23C22×D4×C6111yescharacteristic
633Q8—41no—
634D4—24no—
635D4—24no—
636D4—42no—
637D4—41no—
638D4—42no—
639D4—42no—
640D4—44no—
641D4—44no—
642D4—42no—
643D4—44no—
644D4—42no—
645D4—44no—
646D4—42no—
647D4—42no—
648D4—81no—
649D4—82no—
650D4—82no—
651D4—81no—
652D4—82no—
653D4—82no—
654D4—82no—
655D4—82no—
656D4—82no—
657D4—816no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—24no—
662C2×C4—21no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—81no—
675C2×C4—82no—
676C2×C4—82no—
677C2×C4#120×C6111yescharacteristic
678C2×C4#120×C6111yescharacteristic
679C2×C4C22×D4×C6111yescharacteristic
680C2×C4C22×D4×C6111yescharacteristic
681C8—42no—
682C8—42no—
683C22—21no—
684C22—21no—
685C22—21no—
686C22—21no—
687C22—21no—
688C22—21no—
689C22—21no—
690C22—44no—
691C22—48no—
692C22—42no—
693C22—42no—
694C22—41no—
695C22—42no—
696C22—42no—
697C22—41no—
698C22—41no—
699C22—44no—
700C22—42no—
701C22—42no—
702C22—84no—
703C22—84no—
704C22—88no—
705C22—88no—
706C22—82no—
707C22—82no—
708C22—162no—
709C22—164no—
710C22C61×#45312yes—
711C22C2×#120×C6111yescharacteristic
712C22C61×#57612yes—
713C4—21no—
714C4—21no—
715C4—21no—
716C4—44no—
717C4—42no—
718C4—41no—
719C4—42no—
720C4—41no—
721C4—41no—
722C4C61×B(4,𝔽2)12yes—
723C2—22no—
724C2—22no—
725C2—41no—
726C2—84no—
727C2—82no—
728C2—82no—
729C2—81no—
730C2C61×#300811yescharacteristic
731C2C2×C61×#45311yescharacteristic
732C2C2×C61×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC22×C61C2×#120
commutator, Frattini, cosocleC22×C4C24×C61
LCSG ▷ C22×C4 ▷ C22 ▷ C1
UCSC1 ◁ C22×C61 ◁ C23×C4×C61 ◁ G

Complements

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

NH ≅ G/Ntype
1. C61×#3537C2semidirect
2. C61×#3003C2semidirect
3. C2×C61×#447C2semidirect
4. C61×#2433C2semidirect
5. C61×#1600C2semidirect
6. C61×#1595C2semidirect
7. C61×#1507C2semidirect
8. C61×#1501C2semidirect
9. C61×#1471C2semidirect
10. C23×D4×C61C22semidirect
21. C61×#538C22semidirect
24. C61×#534C22semidirect
31. C61×#450C22semidirect
34. C61×#447C22semidirect
35. C61×#447C22semidirect
38. C61×#407C22semidirect
39. C2×C22⋊C8×C61C22semidirect
40. C61×#392C22semidirect
42. C4×C22⋊C4×C61C22semidirect
43. C61×#328C22semidirect
44. C61×#327C22semidirect
45. C61×#327C22semidirect
46. C61×#323C22semidirect
48. C2×#41×C61D4semidirect
62. C22×D4×C61D4semidirect
84. C22⋊Q8×C61D4semidirect
100. #121×C61D4semidirect
101. #121×C61D4semidirect
119. #117×C61D4semidirect
121. C2×C4⋊C4×C61D4semidirect
316. #18254C61direct (N × H)
357. #3537C2×C61semidirect
358. #3003C2×C61semidirect
359. C2×#447C2×C61semidirect
360. #2433C2×C61semidirect
361. #1600C2×C61semidirect
362. #1595C2×C61semidirect
363. #1507C2×C61semidirect
364. #1501C2×C61semidirect
365. #1471C2×C61semidirect
376. C23×D4C22×C61semidirect
387. #538C22×C61semidirect
390. #534C22×C61semidirect
397. #450C22×C61semidirect
400. #447C22×C61semidirect
401. #447C22×C61semidirect
404. #407C22×C61semidirect
405. C2×C22⋊C8C22×C61semidirect
406. #392C22×C61semidirect
408. C4×C22⋊C4C22×C61semidirect
409. #328C22×C61semidirect
410. #327C22×C61semidirect
411. #327C22×C61semidirect
412. #323C22×C61semidirect
413. C61#18254direct (N × H)
415. C2×#41D4×C61semidirect
429. C22×D4D4×C61semidirect
451. C22⋊Q8D4×C61semidirect
467. #121D4×C61semidirect
468. #121D4×C61semidirect
486. #117D4×C61semidirect
488. C2×C4⋊C4D4×C61semidirect

Maximal subgroups

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

subgroupindex
C61×#35372
C61×#30032
C2×C61×#4472
C61×#24332
C61×#16002
C61×#15952
C61×#15072
C61×#15012
C61×#14712
#1825461