Finite Group Databasebeta

← C61×#33572 #29537005

Subgroups — C61×#33572 #29537005

Order 15616.

1108 conjugacy classes of subgroups.

The subgroup lattice has 742 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3551C211yesmaximal, characteristic, complemented
2C61×#3022C211yesmaximal, characteristic, complemented
3C61×#3021C211yesmaximal, characteristic, complemented
4C61×#3018C211yesmaximal, characteristic, complemented
5C61×#2204C214yesmaximal, complemented
6C61×#2203C214yesmaximal, complemented
7C61×#2135C211yesmaximal, characteristic, complemented
8C61×#2134C211yesmaximal, characteristic, complemented
9C61×#2132C211yesmaximal, characteristic, complemented
10C61×#585C2211yescharacteristic
11C61×#575—21no—
12C2×#137×C61—21no—
13C2×AGL(1,ℤ/8)×C61—21no—
14C61×#563C2212yescomplemented
15C61×#560—21no—
16C61×#555C2212yescomplemented
17C61×#553—21no—
18C61×#552—21no—
19C61×#551—21no—
20C61×#548—21no—
21C61×#546—21no—
22C61×#540—22no—
23C61×#538—22no—
24C61×#537—21no—
25C61×#536C2211yescharacteristic
26C61×#535C2211yescharacteristic
27C61×#532C2211yescharacteristic
28C61×#529—21no—
29C61×#456C2212yescomplemented
30C61×#456C2214yescomplemented
31C61×#455—21no—
32C61×#455—22no—
33C61×#454C2214yes—
34C61×#454C2212yescomplemented
35C61×#453—21no—
36C61×#453—22no—
37C61×#421—21no—
38C61×#421—21no—
39C2×#104×C61—21no—
40C61×#413C2211yescharacteristic
41C61×#413C2211yescharacteristic
42C61×#413C2211yescharacteristic
43C61×#356C2212yescomplemented
44C61×#356C2214yescomplemented
45C61×#355C2212yescomplemented
46C61×#355C2214yescomplemented
472−1+4×C61—41no—
482−1+4×C61C2312yes—
49H(5,𝔽2)×C61—21no—
50H(5,𝔽2)×C61—21no—
51H(5,𝔽2)×C61—21no—
52H(5,𝔽2)×C61—41no—
53C2×#41×C61—21no—
54C2×#41×C61—21no—
55C2×#41×C61—21no—
56C2×#41×C61—21no—
57C2×#41×C61—42no—
58C2×#41×C61D411yescharacteristic
59C2×#41×C61C2311yescharacteristic
60C22×Q8×C61D411yescharacteristic
61C22×D4×C61D411yescharacteristic
62#137×C61—24no—
63#137×C61—22no—
64#137×C61—41no—
65#137×C61—42no—
66AGL(1,ℤ/8)×C61—24no—
67AGL(1,ℤ/8)×C61—22no—
68AGL(1,ℤ/8)×C61—41no—
69AGL(1,ℤ/8)×C61—42no—
70#135×C61—42no—
71C2×Q16×C61—41no—
72C2×SD16×C61—41no—
73C2×SD16×C61—41no—
74C2×D8×C61—41no—
75C2×M16×C61—21no—
76C2×M16×C61—21no—
77C2×M16×C61—21no—
78C4⋊Q8×C61C2311yescharacteristic
79C4⋊Q8×C61C2312yes—
80#127×C61D411yescharacteristic
81#127×C61D412yes—
82#126×C61—22no—
83#126×C61—22no—
84#126×C61—22no—
85#125×C61—21no—
86#125×C61—22no—
87#124×C61—21no—
88#124×C61—22no—
89#124×C61D411yescharacteristic
90#124×C61D412yes—
91#124×C61C2311yescharacteristic
92#124×C61C2312yes—
93#123×C61—22no—
94#123×C61—22no—
95#123×C61—22no—
96#123×C61—21no—
97#123×C61—21no—
98#123×C61—22no—
99C22⋊Q8×C61—21no—
100C22⋊Q8×C61—22no—
101C22⋊Q8×C61—22no—
102C22⋊Q8×C61—21no—
103C22⋊Q8×C61—21no—
104#121×C61—22no—
105#121×C61—22no—
106#121×C61—21no—
107#121×C61—22no—
108#121×C61—22no—
109#121×C61—21no—
110#121×C61—21no—
111#121×C61—22no—
112#121×C61—22no—
113#121×C61—21no—
114#121×C61—21no—
115#120×C61—22no—
116#120×C61—21no—
117#120×C61—21no—
118C4×Q8×C61—21no—
119C4×D4×C61—22no—
120C4×D4×C61—22no—
121C4×D4×C61—21no—
122C4×D4×C61—21no—
123C4×D4×C61—21no—
124C4×D4×C61—22no—
125#117×C61—22no—
126#117×C61—22no—
127#117×C61D411yescharacteristic
128#117×C61D411yescharacteristic
129C2×C4⋊C4×C61—21no—
130C2×C22⋊C4×C61—22no—
131C2×C42×C61D411yescharacteristic
132#104×C61—22no—
133#104×C61—22no—
134#104×C61—24no—
135#104×C61—24no—
136#101×C61C2312yes—
137#101×C61C2312yes—
138#101×C61C2312yes—
139#100×C61—21no—
140#100×C61—21no—
141#100×C61—21no—
142C24×C61—21no—
143#41×C61—22no—
144#41×C61—22no—
145#41×C61—22no—
146#41×C61—22no—
147#41×C61—22no—
148#41×C61—22no—
149#41×C61—41no—
150#41×C61—41no—
151#41×C61—41no—
152#41×C61—41no—
153#41×C61—41no—
154#41×C61—41no—
155#41×C61—41no—
156#41×C61—42no—
157#41×C61—42no—
158#41×C61—42no—
159#41×C61—42no—
160#41×C61—41no—
161#41×C61—81no—
162#41×C61—81no—
163C2×Q8×C61—21no—
164C2×Q8×C61—21no—
165C2×Q8×C61—21no—
166C2×Q8×C61—21no—
167C2×Q8×C61—41no—
168C2×Q8×C61—41no—
169C2×Q8×C61—42no—
170C2×Q8×C61C2×D411yescharacteristic
171C2×Q8×C61C2×D412yes—
172C2×Q8×C61C2411yescharacteristic
173C2×D4×C61—21no—
174C2×D4×C61—21no—
175C2×D4×C61—21no—
176C2×D4×C61—22no—
177C2×D4×C61—22no—
178C2×D4×C61—21no—
179C2×D4×C61—22no—
180C2×D4×C61—22no—
181C2×D4×C61—21no—
182C2×D4×C61—21no—
183C2×D4×C61—21no—
184C2×D4×C61—41no—
185C2×D4×C61—41no—
186C2×D4×C61—42no—
187C2×D4×C61—42no—
188C2×D4×C61—42no—
189C2×D4×C61—41no—
190C2×D4×C61—41no—
191C2×D4×C61—41no—
192C2×D4×C61C2×D411yescharacteristic
193C2×D4×C61C2×D412yes—
194C2×D4×C61C2×D411yescharacteristic
195C2×D4×C61C2×D411yescharacteristic
196C2×D4×C61C2×D411yescharacteristic
197C22×C4×C61—22no—
198C22×C4×C61—22no—
199C22×C4×C61—22no—
200C22×C4×C61—21no—
201C22×C4×C61—21no—
202C22×C4×C61—21no—
203C22×C4×C61—41no—
204C22×C4×C61—41no—
205C22×C4×C61—41no—
206C22×C4×C61C2×D411yescharacteristic
207C22×C4×C61C2×D411yescharacteristic
208C22×C4×C61C2×D411yescharacteristic
209Q16×C61—44no—
210Q16×C61—42no—
211SD16×C61—44no—
212SD16×C61—42no—
213SD16×C61—44no—
214SD16×C61—42no—
215D8×C61—44no—
216D8×C61—42no—
217M16×C61—22no—
218M16×C61—22no—
219M16×C61—22no—
220M16×C61—41no—
221M16×C61—41no—
222M16×C61—41no—
223C2×C8×C61—41no—
224C2×C8×C61—41no—
225C2×C8×C61—41no—
226C4⋊C4×C61—22no—
227C4⋊C4×C61—22no—
228C4⋊C4×C61—22no—
229C4⋊C4×C61—22no—
230C4⋊C4×C61—22no—
231C4⋊C4×C61—21no—
232C4⋊C4×C61—21no—
233C4⋊C4×C61—22no—
234C4⋊C4×C61—22no—
235C4⋊C4×C61—21no—
236C4⋊C4×C61—21no—
237C22⋊C4×C61—22no—
238C22⋊C4×C61—22no—
239C22⋊C4×C61—22no—
240C22⋊C4×C61—22no—
241C22⋊C4×C61—22no—
242C22⋊C4×C61—21no—
243C22⋊C4×C61—22no—
244C22⋊C4×C61—21no—
245C22⋊C4×C61—21no—
246C22⋊C4×C61—21no—
247C22⋊C4×C61—22no—
248C22⋊C4×C61—21no—
249C22⋊C4×C61—22no—
250C22⋊C4×C61—21no—
251C22⋊C4×C61—22no—
252C42×C61—22no—
253C42×C61—21no—
254C42×C61C2×D411yescharacteristic
255C42×C61C2×D411yescharacteristic
256C42×C61C2×D412yes—
257C42×C61C2×D412yes—
258C23×C61—22no—
259C23×C61—21no—
260C23×C61—41no—
261C23×C61—41no—
262C23×C61—41no—
263C23×C61—81no—
264C23×C61—82no—
265C23×C61#12011yescharacteristic
266C23×C61#12011yescharacteristic
267C23×C61#12011yescharacteristic
268Q8×C61—22no—
269Q8×C61—22no—
270Q8×C61—22no—
271Q8×C61—41no—
272Q8×C61—42no—
273Q8×C61—41no—
274Q8×C61—41no—
275Q8×C61—41no—
276Q8×C61—41no—
277D4×C61—22no—
278D4×C61—22no—
279D4×C61—22no—
280D4×C61—41no—
281D4×C61—41no—
282D4×C61—41no—
283D4×C61—42no—
284D4×C61—41no—
285D4×C61—42no—
286D4×C61—42no—
287D4×C61—42no—
288D4×C61—42no—
289D4×C61—41no—
290D4×C61—41no—
291D4×C61—41no—
292D4×C61—81no—
293D4×C61—82no—
294D4×C61—82no—
295D4×C61—82no—
296D4×C61—81no—
297D4×C61—81no—
298D4×C61—82no—
299C2×C4×C61—21no—
300C2×C4×C61—21no—
301C2×C4×C61—21no—
302C2×C4×C61—21no—
303C2×C4×C61—21no—
304C2×C4×C61—21no—
305C2×C4×C61—21no—
306C2×C4×C61—22no—
307C2×C4×C61—21no—
308C2×C4×C61—22no—
309C2×C4×C61—22no—
310C2×C4×C61—21no—
311C2×C4×C61—42no—
312C2×C4×C61—42no—
313C2×C4×C61—42no—
314C2×C4×C61—41no—
315C2×C4×C61—41no—
316C2×C4×C61—41no—
317C2×C4×C61—41no—
318C2×C4×C61—41no—
319C2×C4×C61—42no—
320C2×C4×C61—81no—
321C2×C4×C61—82no—
322C2×C4×C61—81no—
323C2×C4×C61—82no—
324C2×C4×C61—82no—
325C2×C4×C61#12011yescharacteristic
326C2×C4×C61C22×D411yescharacteristic
327C2×C4×C61C22×D411yescharacteristic
328C2×C4×C61C22×D411yescharacteristic
329C8×C61—42no—
330C8×C61—42no—
331C8×C61—42no—
332#33572C6111yesmaximal, characteristic, direct product factor, Sylow
333C22×C61—21no—
334C22×C61—21no—
335C22×C61—21no—
336C22×C61—41no—
337C22×C61—41no—
338C22×C61—41no—
339C22×C61—41no—
340C22×C61—42no—
341C22×C61—41no—
342C22×C61—42no—
343C22×C61—42no—
344C22×C61—41no—
345C22×C61—42no—
346C22×C61—161no—
347C22×C61—161no—
348C22×C61—161no—
349C22×C61—162no—
350C22×C61C2×#12011yescharacteristic
351C4×C61—21no—
352C4×C61—21no—
353C4×C61—21no—
354C4×C61—41no—
355C4×C61—42no—
356C4×C61—42no—
357C4×C61—41no—
358C4×C61—41no—
359C4×C61—42no—
360C4×C61—42no—
361C4×C61B(4,𝔽2)11yescharacteristic
362C4×C61B(4,𝔽2)11yescharacteristic
363#3551C2×C6111yescharacteristic, complemented
364#3022C2×C6111yescharacteristic, complemented
365#3021C2×C6111yescharacteristic, complemented
366#3018C2×C6111yescharacteristic, complemented
367#2204C2×C6114yescomplemented
368#2203C2×C6114yescomplemented
369#2135C2×C6111yescharacteristic, complemented
370#2134C2×C6111yescharacteristic, complemented
371#2132C2×C6111yescharacteristic, complemented
372C2×C61—21no—
373C2×C61—41no—
374C2×C61—41no—
375C2×C61—41no—
376C2×C61—81no—
377C2×C61—82no—
378C2×C61—82no—
379C2×C61C2×B(4,𝔽2)11yescharacteristic
380#585C22×C6111yescharacteristic
381#575—21no—
382C2×#137—21no—
383C2×AGL(1,ℤ/8)—21no—
384#563C22×C6112yescomplemented
385#560—21no—
386#555C22×C6112yescomplemented
387#553—21no—
388#552—21no—
389#551—21no—
390#548—21no—
391#546—21no—
392#540—22no—
393#538—22no—
394#537—21no—
395#536C22×C6111yescharacteristic
396#535C22×C6111yescharacteristic
397#532C22×C6111yescharacteristic
398#529—21no—
399#456C22×C6112yescomplemented
400#456C22×C6114yescomplemented
401#455—21no—
402#455—22no—
403#454C22×C6114yes—
404#454C22×C6112yescomplemented
405#453—21no—
406#453—22no—
407#421—21no—
408#421—21no—
409C2×#104—21no—
410#413C22×C6111yescharacteristic
411#413C22×C6111yescharacteristic
412#413C22×C6111yescharacteristic
413#356C22×C6112yescomplemented
414#356C22×C6114yescomplemented
415#355C22×C6112yescomplemented
416#355C22×C6114yescomplemented
417C61#3357211yescharacteristic, direct product factor, Sylow
4182−1+4—41no—
4192−1+4C23×C6112yes—
420H(5,𝔽2)—21no—
421H(5,𝔽2)—21no—
422H(5,𝔽2)—21no—
423H(5,𝔽2)—41no—
424C2×#41—21no—
425C2×#41—21no—
426C2×#41—21no—
427C2×#41—21no—
428C2×#41—42no—
429C2×#41D4×C6111yescharacteristic
430C2×#41C23×C6111yescharacteristic
431C22×Q8D4×C6111yescharacteristic
432C22×D4D4×C6111yescharacteristic
433#137—24no—
434#137—22no—
435#137—41no—
436#137—42no—
437AGL(1,ℤ/8)—24no—
438AGL(1,ℤ/8)—22no—
439AGL(1,ℤ/8)—41no—
440AGL(1,ℤ/8)—42no—
441#135—42no—
442C2×Q16—41no—
443C2×SD16—41no—
444C2×SD16—41no—
445C2×D8—41no—
446C2×M16—21no—
447C2×M16—21no—
448C2×M16—21no—
449C4⋊Q8C23×C6111yescharacteristic
450C4⋊Q8C23×C6112yes—
451#127D4×C6111yescharacteristic
452#127D4×C6112yes—
453#126—22no—
454#126—22no—
455#126—22no—
456#125—21no—
457#125—22no—
458#124—21no—
459#124—22no—
460#124D4×C6111yescharacteristic
461#124D4×C6112yes—
462#124C23×C6111yescharacteristic
463#124C23×C6112yes—
464#123—22no—
465#123—22no—
466#123—22no—
467#123—21no—
468#123—21no—
469#123—22no—
470C22⋊Q8—21no—
471C22⋊Q8—22no—
472C22⋊Q8—22no—
473C22⋊Q8—21no—
474C22⋊Q8—21no—
475#121—22no—
476#121—22no—
477#121—21no—
478#121—22no—
479#121—22no—
480#121—21no—
481#121—21no—
482#121—22no—
483#121—22no—
484#121—21no—
485#121—21no—
486#120—22no—
487#120—21no—
488#120—21no—
489C4×Q8—21no—
490C4×D4—22no—
491C4×D4—21no—
492C4×D4—22no—
493C4×D4—21no—
494C4×D4—21no—
495C4×D4—22no—
496#117—22no—
497#117—22no—
498#117D4×C6111yescharacteristic
499#117D4×C6111yescharacteristic
500C2×C4⋊C4—21no—
501C2×C22⋊C4—22no—
502C2×C42D4×C6111yescharacteristic
503#104—22no—
504#104—22no—
505#104—24no—
506#104—24no—
507#101C23×C6112yes—
508#101C23×C6112yes—
509#101C23×C6112yes—
510#100—21no—
511#100—21no—
512#100—21no—
513C24—21no—
514#41—22no—
515#41—22no—
516#41—22no—
517#41—22no—
518#41—22no—
519#41—22no—
520#41—41no—
521#41—41no—
522#41—41no—
523#41—41no—
524#41—41no—
525#41—41no—
526#41—41no—
527#41—42no—
528#41—42no—
529#41—42no—
530#41—42no—
531#41—41no—
532#41—81no—
533#41—81no—
534C2×Q8—21no—
535C2×Q8—21no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—41no—
539C2×Q8—41no—
540C2×Q8—42no—
541C2×Q8C2×D4×C6111yescharacteristic
542C2×Q8C2×D4×C6112yes—
543C2×Q8C24×C6111yescharacteristic
544C2×D4—21no—
545C2×D4—21no—
546C2×D4—21no—
547C2×D4—22no—
548C2×D4—22no—
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—22no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—41no—
556C2×D4—41no—
557C2×D4—42no—
558C2×D4—42no—
559C2×D4—42no—
560C2×D4—41no—
561C2×D4—41no—
562C2×D4—41no—
563C2×D4C2×D4×C6111yescharacteristic
564C2×D4C2×D4×C6112yes—
565C2×D4C2×D4×C6111yescharacteristic
566C2×D4C2×D4×C6111yescharacteristic
567C2×D4C2×D4×C6111yescharacteristic
568C22×C4—22no—
569C22×C4—22no—
570C22×C4—22no—
571C22×C4—21no—
572C22×C4—21no—
573C22×C4—21no—
574C22×C4—41no—
575C22×C4—41no—
576C22×C4—41no—
577C22×C4C2×D4×C6111yescharacteristic
578C22×C4C2×D4×C6111yescharacteristic
579C22×C4C2×D4×C6111yescharacteristic
580Q16—44no—
581Q16—42no—
582SD16—44no—
583SD16—42no—
584SD16—44no—
585SD16—42no—
586D8—44no—
587D8—42no—
588M16—22no—
589M16—22no—
590M16—22no—
591M16—41no—
592M16—41no—
593M16—41no—
594C2×C8—41no—
595C2×C8—41no—
596C2×C8—41no—
597C4⋊C4—22no—
598C4⋊C4—22no—
599C4⋊C4—22no—
600C4⋊C4—22no—
601C4⋊C4—22no—
602C4⋊C4—21no—
603C4⋊C4—21no—
604C4⋊C4—22no—
605C4⋊C4—22no—
606C4⋊C4—21no—
607C4⋊C4—21no—
608C22⋊C4—22no—
609C22⋊C4—22no—
610C22⋊C4—22no—
611C22⋊C4—22no—
612C22⋊C4—22no—
613C22⋊C4—21no—
614C22⋊C4—22no—
615C22⋊C4—21no—
616C22⋊C4—21no—
617C22⋊C4—21no—
618C22⋊C4—22no—
619C22⋊C4—21no—
620C22⋊C4—22no—
621C22⋊C4—21no—
622C22⋊C4—22no—
623C42—22no—
624C42—21no—
625C42C2×D4×C6111yescharacteristic
626C42C2×D4×C6111yescharacteristic
627C42C2×D4×C6112yes—
628C42C2×D4×C6112yes—
629C23—22no—
630C23—21no—
631C23—41no—
632C23—41no—
633C23—41no—
634C23—81no—
635C23—82no—
636C23#120×C6111yescharacteristic
637C23#120×C6111yescharacteristic
638C23#120×C6111yescharacteristic
639Q8—22no—
640Q8—22no—
641Q8—22no—
642Q8—41no—
643Q8—42no—
644Q8—41no—
645Q8—41no—
646Q8—41no—
647Q8—41no—
648D4—22no—
649D4—22no—
650D4—22no—
651D4—41no—
652D4—41no—
653D4—41no—
654D4—42no—
655D4—41no—
656D4—42no—
657D4—42no—
658D4—42no—
659D4—42no—
660D4—41no—
661D4—41no—
662D4—41no—
663D4—81no—
664D4—82no—
665D4—82no—
666D4—82no—
667D4—81no—
668D4—81no—
669D4—82no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—22no—
678C2×C4—21no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—21no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—42no—
691C2×C4—81no—
692C2×C4—82no—
693C2×C4—81no—
694C2×C4—82no—
695C2×C4—82no—
696C2×C4#120×C6111yescharacteristic
697C2×C4C22×D4×C6111yescharacteristic
698C2×C4C22×D4×C6111yescharacteristic
699C2×C4C22×D4×C6111yescharacteristic
700C8—42no—
701C8—42no—
702C8—42no—
703C22—21no—
704C22—21no—
705C22—21no—
706C22—41no—
707C22—41no—
708C22—41no—
709C22—41no—
710C22—42no—
711C22—41no—
712C22—42no—
713C22—42no—
714C22—41no—
715C22—42no—
716C22—161no—
717C22—161no—
718C22—161no—
719C22—162no—
720C22C2×#120×C6111yescharacteristic
721C4—21no—
722C4—21no—
723C4—21no—
724C4—41no—
725C4—42no—
726C4—42no—
727C4—41no—
728C4—41no—
729C4—42no—
730C4—42no—
731C4C61×B(4,𝔽2)11yescharacteristic
732C4C61×B(4,𝔽2)11yescharacteristic
733C2—21no—
734C2—41no—
735C2—41no—
736C2—41no—
737C2—82no—
738C2—81no—
739C2—82no—
740C2C2×C61×B(4,𝔽2)11yescharacteristic
subgroupG/H
center, socleC2×C61C2×B(4,𝔽2)
commutator, Frattini, cosocleC2×Q8C24×C61
LCSG ▷ C2×Q8 ▷ C22 ▷ C2 ▷ C1
UCSC1 ◁ C2×C61 ◁ C2×C4×C61 ◁ C2×#41×C61 ◁ G

Complements

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

NH ≅ G/Ntype
1. C61×#3551C2semidirect
2. C61×#3022C2semidirect
3. C61×#3021C2semidirect
4. C61×#3018C2semidirect
5. C61×#2204C2semidirect
6. C61×#2203C2semidirect
7. C61×#2135C2semidirect
8. C61×#2134C2semidirect
9. C61×#2132C2semidirect
14. C61×#563C22semidirect
16. C61×#555C22semidirect
29. C61×#456C22semidirect
30. C61×#456C22semidirect
34. C61×#454C22semidirect
43. C61×#356C22semidirect
44. C61×#356C22semidirect
45. C61×#355C22semidirect
46. C61×#355C22semidirect
332. #33572C61direct (N × H)
363. #3551C2×C61semidirect
364. #3022C2×C61semidirect
365. #3021C2×C61semidirect
366. #3018C2×C61semidirect
367. #2204C2×C61semidirect
368. #2203C2×C61semidirect
369. #2135C2×C61semidirect
370. #2134C2×C61semidirect
371. #2132C2×C61semidirect
384. #563C22×C61semidirect
386. #555C22×C61semidirect
399. #456C22×C61semidirect
400. #456C22×C61semidirect
404. #454C22×C61semidirect
413. #356C22×C61semidirect
414. #356C22×C61semidirect
415. #355C22×C61semidirect
416. #355C22×C61semidirect
417. C61#33572direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#35512
C61×#30222
C61×#30212
C61×#30182
C61×#22042
C61×#22032
C61×#21352
C61×#21342
C61×#21322
#3357261