Finite Group Databasebeta

← C61×#26191 #29529624

Subgroups — C61×#26191 #29529624

Order 15616.

766 conjugacy classes of subgroups.

The subgroup lattice has 688 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3096C211yesmaximal, characteristic, complemented
2C61×#3045C211yesmaximal, characteristic
3C61×#2952C211yesmaximal, characteristic, complemented
4C61×#2912C211yesmaximal, characteristic, complemented
5C61×#2094C211yesmaximal, characteristic, complemented
6C61×#2090C211yesmaximal, characteristic, complemented
7C61×#2079C211yesmaximal, characteristic, complemented
8C61×#2037C211yesmaximal, characteristic, complemented
9C61×#1931C211yesmaximal, characteristic, complemented
10C61×#1922C211yesmaximal, characteristic, complemented
11C61×#1907C211yesmaximal, characteristic, complemented
12C61×#1883C211yesmaximal, characteristic, complemented
13C61×#1876C211yesmaximal, characteristic, complemented
14C61×#1859C211yesmaximal, characteristic, complemented
15C61×#1859C211yesmaximal, characteristic, complemented
16C2×AGL(1,ℤ/8)×C61C2211yescharacteristic
17C2×#135×C61C2211yescharacteristic
18C2×#131×C61C2211yescharacteristic
19C61×#535C2211yescharacteristic
20C61×#520C2211yescharacteristic
21C61×#520C2211yescharacteristic
22C61×#520C2211yescharacteristic
23C61×#482—21no—
24C61×#482—21no—
25C61×#481—21no—
26C61×#480—21no—
27C61×#464—21no—
28C61×#463—21no—
29C61×#460—21no—
30C61×#459—21no—
31C61×#442—21no—
32C61×#441—21no—
33C4×SD16×C61—21no—
34C4×SD16×C61—21no—
35C61×#428—21no—
36C61×#428—21no—
37C61×#428C2211yescharacteristic
38C61×#428C2211yescharacteristic
39C61×#428C2211yescharacteristic
40C61×#427—21no—
41C61×#427C2211yescharacteristic
42C2×#106×C61—21no—
43C2×#106×C61C2211yescharacteristic
44C2×#106×C61C2211yescharacteristic
45C61×#424C2211yescharacteristic
46C2×#104×C61C2211yescharacteristic
47C2×#104×C61C2211yescharacteristic
48C61×#418C2211yescharacteristic
49C61×#417C2211yescharacteristic
50C61×#417C2211yescharacteristic
51C61×#417C2211yescharacteristic
52C2×#102×C61C2211yescharacteristic
53C2×#102×C61C2211yescharacteristic
54C2×#100×C61C2211yescharacteristic
55C61×#408C2211yescharacteristic
56C61×#405C2211yescharacteristic
57C61×#390C2211yescharacteristic
58C61×#384C2211yescharacteristic
59C61×#343C2211yescharacteristic
60C61×#343C2211yescharacteristic
61C61×#343C2211yescharacteristic
62C61×#341C2211yescharacteristic
63C61×#341C2211yescharacteristic
64C61×#339C2211yescharacteristic
65C61×#339C2211yescharacteristic
66C61×#336C2211yescharacteristic
67C2×#41×C61C2311yescharacteristic
68C2×#41×C61C2311yescharacteristic
69C22×D4×C61C2311yescharacteristic
70AGL(1,ℤ/8)×C61—22no—
71AGL(1,ℤ/8)×C61—22no—
72#135×C61—22no—
73#135×C61—22no—
74C2×Q16×C61D411yescharacteristic
75C2×SD16×C61—21no—
76C2×SD16×C61D411yescharacteristic
77C2×SD16×C61D411yescharacteristic
78C2×D8×C61—21no—
79C2×D8×C61D411yescharacteristic
80#131×C61—22no—
81#131×C61—22no—
82C2×M16×C61—21no—
83C2×M16×C61C2311yescharacteristic
84C2×M16×C61C2311yescharacteristic
85C2×M16×C61C2311yescharacteristic
86C2×M16×C61C2311yescharacteristic
87C22×C8×C61—21no—
88C22×C8×C61C2311yescharacteristic
89C22×C8×C61C2311yescharacteristic
90#127×C61—21no—
91#124×C61—21no—
92#121×C61—21no—
93#121×C61—21no—
94#120×C61—41no—
95C4×Q8×C61—21no—
96C4×Q8×C61—21no—
97C4×Q8×C61—21no—
98C4×D4×C61—21no—
99C4×D4×C61—21no—
100C4×D4×C61—21no—
101C4×D4×C61—41no—
102C4×D4×C61—41no—
103C4×D4×C61—41no—
104#117×C61—21no—
105#117×C61—21no—
106#117×C61—21no—
107#117×C61C2311yescharacteristic
108#117×C61C2311yescharacteristic
109C2×C4⋊C4×C61—21no—
110C2×C4⋊C4×C61—21no—
111C2×C4⋊C4×C61—21no—
112C2×C4⋊C4×C61—41no—
113C2×C4⋊C4×C61C2311yescharacteristic
114C2×C4⋊C4×C61C2311yescharacteristic
115C2×C4⋊C4×C61C2311yescharacteristic
116C2×C22⋊C4×C61—41no—
117C2×C42×C61C2311yescharacteristic
118#107×C61—21no—
119#107×C61—21no—
120#107×C61—21no—
121#107×C61D411yescharacteristic
122#107×C61D411yescharacteristic
123#106×C61—21no—
124#106×C61—21no—
125#106×C61—21no—
126#106×C61—21no—
127#106×C61—21no—
128#106×C61—21no—
129#106×C61—21no—
130#106×C61D411yescharacteristic
131#106×C61D411yescharacteristic
132C4⋊C8×C61—21no—
133C4⋊C8×C61—21no—
134#104×C61—22no—
135#104×C61—22no—
136#103×C61—21no—
137#103×C61—21no—
138#103×C61—21no—
139#102×C61—21no—
140#102×C61—21no—
141#102×C61—21no—
142#102×C61—21no—
143#102×C61—21no—
144#102×C61—21no—
145#102×C61—21no—
146#102×C61—21no—
147#102×C61—21no—
148#100×C61—22no—
149C22⋊C8×C61—21no—
150C22⋊C8×C61—21no—
151#97×C61—21no—
152C4×C8×C61—21no—
153C24×C61—21no—
154#41×C61—21no—
155#41×C61—21no—
156#41×C61—21no—
157#41×C61—21no—
158#41×C61—21no—
159#41×C61—21no—
160#41×C61#4112yes—
161#41×C61#4112yes—
162C2×Q8×C61C2×D411yescharacteristic
163C2×Q8×C61C2×D411yescharacteristic
164C2×D4×C61—21no—
165C2×D4×C61—21no—
166C2×D4×C61—21no—
167C2×D4×C61—21no—
168C2×D4×C61—21no—
169C2×D4×C61—21no—
170C2×D4×C61—21no—
171C2×D4×C61—21no—
172C2×D4×C61—41no—
173C2×D4×C61—41no—
174C2×D4×C61C2×D411yescharacteristic
175C2×D4×C61C2×D411yescharacteristic
176C22×C4×C61—21no—
177C22×C4×C61—21no—
178C22×C4×C61—21no—
179C22×C4×C61—21no—
180C22×C4×C61—21no—
181C22×C4×C61—21no—
182C22×C4×C61—41no—
183C22×C4×C61—41no—
184C22×C4×C61—41no—
185C22×C4×C61C2411yescharacteristic
186Q16×C61—22no—
187SD16×C61—22no—
188SD16×C61—22no—
189SD16×C61—42no—
190D8×C61—22no—
191D8×C61—42no—
192M16×C61—24no—
193M16×C61—21no—
194M16×C61—21no—
195M16×C61—21no—
196M16×C61—21no—
197M16×C61—21no—
198M16×C61—21no—
199M16×C61—21no—
200M16×C61#4112yes—
201C2×C8×C61—24no—
202C2×C8×C61—21no—
203C2×C8×C61—21no—
204C2×C8×C61—21no—
205C2×C8×C61—21no—
206C2×C8×C61—21no—
207C2×C8×C61—21no—
208C2×C8×C61—21no—
209C2×C8×C61—21no—
210C2×C8×C61C2×D411yescharacteristic
211C2×C8×C61C2×D411yescharacteristic
212C2×C8×C61C2×D411yescharacteristic
213C2×C8×C61C2×D411yescharacteristic
214C4⋊C4×C61—21no—
215C4⋊C4×C61—21no—
216C4⋊C4×C61—21no—
217C4⋊C4×C61—21no—
218C4⋊C4×C61—21no—
219C4⋊C4×C61—21no—
220C4⋊C4×C61—41no—
221C4⋊C4×C61—41no—
222C4⋊C4×C61—41no—
223C4⋊C4×C61—82no—
224C4⋊C4×C61C2×D411yescharacteristic
225C4⋊C4×C61C2×D411yescharacteristic
226C4⋊C4×C61C2×D411yescharacteristic
227C4⋊C4×C61C2×D411yescharacteristic
228C22⋊C4×C61—21no—
229C22⋊C4×C61—21no—
230C22⋊C4×C61—41no—
231C22⋊C4×C61—41no—
232C22⋊C4×C61—41no—
233C22⋊C4×C61—41no—
234C22⋊C4×C61—41no—
235C22⋊C4×C61—82no—
236C42×C61—21no—
237C42×C61—21no—
238C42×C61—21no—
239C42×C61—21no—
240C42×C61—41no—
241C42×C61—41no—
242C42×C61—41no—
243C23×C61—21no—
244C23×C61—21no—
245C23×C61—41no—
246C23×C61—41no—
247C23×C61—41no—
248C23×C61—81no—
249C23×C61—81no—
250C23×C61H(5,𝔽2)11yescharacteristic
251Q8×C61—21no—
252Q8×C61—21no—
253Q8×C61—21no—
254Q8×C61#12312yes—
255D4×C61—22no—
256D4×C61—22no—
257D4×C61—21no—
258D4×C61—21no—
259D4×C61—21no—
260D4×C61—41no—
261D4×C61—41no—
262D4×C61—41no—
263D4×C61—41no—
264D4×C61—41no—
265D4×C61—41no—
266D4×C61—161no—
267D4×C61—161no—
268D4×C61#12312yes—
269C2×C4×C61—21no—
270C2×C4×C61—22no—
271C2×C4×C61—22no—
272C2×C4×C61—22no—
273C2×C4×C61—21no—
274C2×C4×C61—21no—
275C2×C4×C61—21no—
276C2×C4×C61—21no—
277C2×C4×C61—21no—
278C2×C4×C61—41no—
279C2×C4×C61—41no—
280C2×C4×C61—41no—
281C2×C4×C61—41no—
282C2×C4×C61—41no—
283C2×C4×C61—41no—
284C2×C4×C61—41no—
285C2×C4×C61—81no—
286C2×C4×C61—81no—
287C2×C4×C61—81no—
288C2×C4×C61—161no—
289C2×C4×C61—161no—
290C2×C4×C61—161no—
291C2×C4×C61C22×D411yescharacteristic
292C2×C4×C61C22×D411yescharacteristic
293C2×C4×C61C2×#4111yescharacteristic
294C2×C4×C61C2×#4111yescharacteristic
295C2×C4×C61C2×#4111yescharacteristic
296C2×C4×C612−1+411yescharacteristic
297C8×C61—21no—
298C8×C61—21no—
299C8×C61—21no—
300C8×C61—22no—
301C8×C61—21no—
302C8×C61—41no—
303C8×C61—41no—
304C8×C61—41no—
305#26191C6111yesmaximal, characteristic, direct product factor, Sylow
306C22×C61—21no—
307C22×C61—21no—
308C22×C61—22no—
309C22×C61—41no—
310C22×C61—41no—
311C22×C61—41no—
312C22×C61—41no—
313C22×C61—41no—
314C22×C61—82no—
315C22×C61—81no—
316C22×C61—81no—
317C22×C61—81no—
318C22×C61—161no—
319C22×C61#53911yescharacteristic
320C22×C61D4211yescharacteristic
321C22×C61#55311yescharacteristic
322C4×C61—22no—
323C4×C61—42no—
324C4×C61—41no—
325C4×C61—41no—
326C4×C61—41no—
327C4×C61—41no—
328C4×C61—41no—
329C4×C61—81no—
330C4×C61—81no—
331C4×C61—81no—
332C4×C61C2×#12311yescharacteristic
333C4×C61#52511yescharacteristic
334C4×C61#54711yescharacteristic
335C4×C61#54811yescharacteristic
336#3096C2×C6111yescharacteristic, complemented
337#3045C2×C6111yescharacteristic
338#2952C2×C6111yescharacteristic, complemented
339#2912C2×C6111yescharacteristic, complemented
340#2094C2×C6111yescharacteristic, complemented
341#2090C2×C6111yescharacteristic, complemented
342#2079C2×C6111yescharacteristic, complemented
343#2037C2×C6111yescharacteristic, complemented
344#1931C2×C6111yescharacteristic, complemented
345#1922C2×C6111yescharacteristic, complemented
346#1907C2×C6111yescharacteristic, complemented
347#1883C2×C6111yescharacteristic, complemented
348#1876C2×C6111yescharacteristic, complemented
349#1859C2×C6111yescharacteristic, complemented
350#1859C2×C6111yescharacteristic, complemented
351C2×C61—21no—
352C2×C61—21no—
353C2×C61—42no—
354C2×C61—81no—
355C2×C61—161no—
356C2×C61#244311yescharacteristic
357C2×C61#328811yescharacteristic
358C2×C61#329111yescharacteristic
359C2×AGL(1,ℤ/8)C22×C6111yescharacteristic
360C2×#135C22×C6111yescharacteristic
361C2×#131C22×C6111yescharacteristic
362#535C22×C6111yescharacteristic
363#520C22×C6111yescharacteristic
364#520C22×C6111yescharacteristic
365#520C22×C6111yescharacteristic
366#482—21no—
367#482—21no—
368#481—21no—
369#480—21no—
370#464—21no—
371#463—21no—
372#460—21no—
373#459—21no—
374#442—21no—
375#441—21no—
376C4×SD16—21no—
377C4×SD16—21no—
378#428—21no—
379#428—21no—
380#428C22×C6111yescharacteristic
381#428C22×C6111yescharacteristic
382#428C22×C6111yescharacteristic
383#427—21no—
384#427C22×C6111yescharacteristic
385C2×#106—21no—
386C2×#106C22×C6111yescharacteristic
387C2×#106C22×C6111yescharacteristic
388#424C22×C6111yescharacteristic
389C2×#104C22×C6111yescharacteristic
390C2×#104C22×C6111yescharacteristic
391#418C22×C6111yescharacteristic
392#417C22×C6111yescharacteristic
393#417C22×C6111yescharacteristic
394#417C22×C6111yescharacteristic
395C2×#102C22×C6111yescharacteristic
396C2×#102C22×C6111yescharacteristic
397C2×#100C22×C6111yescharacteristic
398#408C22×C6111yescharacteristic
399#405C22×C6111yescharacteristic
400#390C22×C6111yescharacteristic
401#384C22×C6111yescharacteristic
402#343C22×C6111yescharacteristic
403#343C22×C6111yescharacteristic
404#343C22×C6111yescharacteristic
405#341C22×C6111yescharacteristic
406#341C22×C6111yescharacteristic
407#339C22×C6111yescharacteristic
408#339C22×C6111yescharacteristic
409#336C22×C6111yescharacteristic
410C61#2619111yescharacteristic, direct product factor, Sylow
411C2×#41C23×C6111yescharacteristic
412C2×#41C23×C6111yescharacteristic
413C22×D4C23×C6111yescharacteristic
414AGL(1,ℤ/8)—22no—
415AGL(1,ℤ/8)—22no—
416#135—22no—
417#135—22no—
418C2×Q16D4×C6111yescharacteristic
419C2×SD16—21no—
420C2×SD16D4×C6111yescharacteristic
421C2×SD16D4×C6111yescharacteristic
422C2×D8—21no—
423C2×D8D4×C6111yescharacteristic
424#131—22no—
425#131—22no—
426C2×M16—21no—
427C2×M16C23×C6111yescharacteristic
428C2×M16C23×C6111yescharacteristic
429C2×M16C23×C6111yescharacteristic
430C2×M16C23×C6111yescharacteristic
431C22×C8—21no—
432C22×C8C23×C6111yescharacteristic
433C22×C8C23×C6111yescharacteristic
434#127—21no—
435#124—21no—
436#121—21no—
437#121—21no—
438#120—41no—
439C4×Q8—21no—
440C4×Q8—21no—
441C4×Q8—21no—
442C4×D4—21no—
443C4×D4—21no—
444C4×D4—21no—
445C4×D4—41no—
446C4×D4—41no—
447C4×D4—41no—
448#117—21no—
449#117—21no—
450#117—21no—
451#117C23×C6111yescharacteristic
452#117C23×C6111yescharacteristic
453C2×C4⋊C4—21no—
454C2×C4⋊C4—21no—
455C2×C4⋊C4—21no—
456C2×C4⋊C4—41no—
457C2×C4⋊C4C23×C6111yescharacteristic
458C2×C4⋊C4C23×C6111yescharacteristic
459C2×C4⋊C4C23×C6111yescharacteristic
460C2×C22⋊C4—41no—
461C2×C42C23×C6111yescharacteristic
462#107—21no—
463#107—21no—
464#107—21no—
465#107D4×C6111yescharacteristic
466#107D4×C6111yescharacteristic
467#106—21no—
468#106—21no—
469#106—21no—
470#106—21no—
471#106—21no—
472#106—21no—
473#106—21no—
474#106D4×C6111yescharacteristic
475#106D4×C6111yescharacteristic
476C4⋊C8—21no—
477C4⋊C8—21no—
478#104—22no—
479#104—22no—
480#103—21no—
481#103—21no—
482#103—21no—
483#102—21no—
484#102—21no—
485#102—21no—
486#102—21no—
487#102—21no—
488#102—21no—
489#102—21no—
490#102—21no—
491#102—21no—
492#100—22no—
493C22⋊C8—21no—
494C22⋊C8—21no—
495#97—21no—
496C4×C8—21no—
497C24—21no—
498#41—21no—
499#41—21no—
500#41—21no—
501#41—21no—
502#41—21no—
503#41—21no—
504#41#41×C6112yes—
505#41#41×C6112yes—
506C2×Q8C2×D4×C6111yescharacteristic
507C2×Q8C2×D4×C6111yescharacteristic
508C2×D4—21no—
509C2×D4—21no—
510C2×D4—21no—
511C2×D4—21no—
512C2×D4—21no—
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4—41no—
517C2×D4—41no—
518C2×D4C2×D4×C6111yescharacteristic
519C2×D4C2×D4×C6111yescharacteristic
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4—41no—
527C22×C4—41no—
528C22×C4—41no—
529C22×C4C24×C6111yescharacteristic
530Q16—22no—
531SD16—22no—
532SD16—22no—
533SD16—42no—
534D8—22no—
535D8—42no—
536M16—24no—
537M16—21no—
538M16—21no—
539M16—21no—
540M16—21no—
541M16—21no—
542M16—21no—
543M16—21no—
544M16#41×C6112yes—
545C2×C8—24no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—21no—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8C2×D4×C6111yescharacteristic
555C2×C8C2×D4×C6111yescharacteristic
556C2×C8C2×D4×C6111yescharacteristic
557C2×C8C2×D4×C6111yescharacteristic
558C4⋊C4—21no—
559C4⋊C4—21no—
560C4⋊C4—21no—
561C4⋊C4—21no—
562C4⋊C4—21no—
563C4⋊C4—21no—
564C4⋊C4—41no—
565C4⋊C4—41no—
566C4⋊C4—41no—
567C4⋊C4—82no—
568C4⋊C4C2×D4×C6111yescharacteristic
569C4⋊C4C2×D4×C6111yescharacteristic
570C4⋊C4C2×D4×C6111yescharacteristic
571C4⋊C4C2×D4×C6111yescharacteristic
572C22⋊C4—21no—
573C22⋊C4—21no—
574C22⋊C4—41no—
575C22⋊C4—41no—
576C22⋊C4—41no—
577C22⋊C4—41no—
578C22⋊C4—41no—
579C22⋊C4—82no—
580C42—21no—
581C42—21no—
582C42—21no—
583C42—21no—
584C42—41no—
585C42—41no—
586C42—41no—
587C23—21no—
588C23—21no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—81no—
593C23—81no—
594C23H(5,𝔽2)×C6111yescharacteristic
595Q8—21no—
596Q8—21no—
597Q8—21no—
598Q8#123×C6112yes—
599D4—22no—
600D4—22no—
601D4—21no—
602D4—21no—
603D4—21no—
604D4—41no—
605D4—41no—
606D4—41no—
607D4—41no—
608D4—41no—
609D4—41no—
610D4—161no—
611D4—161no—
612D4#123×C6112yes—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—22no—
616C2×C4—22no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—41no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—81no—
630C2×C4—81no—
631C2×C4—81no—
632C2×C4—161no—
633C2×C4—161no—
634C2×C4—161no—
635C2×C4C22×D4×C6111yescharacteristic
636C2×C4C22×D4×C6111yescharacteristic
637C2×C4C2×#41×C6111yescharacteristic
638C2×C4C2×#41×C6111yescharacteristic
639C2×C4C2×#41×C6111yescharacteristic
640C2×C42−1+4×C6111yescharacteristic
641C8—21no—
642C8—21no—
643C8—21no—
644C8—22no—
645C8—21no—
646C8—41no—
647C8—41no—
648C8—41no—
649C22—21no—
650C22—21no—
651C22—22no—
652C22—41no—
653C22—41no—
654C22—41no—
655C22—41no—
656C22—41no—
657C22—82no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22—161no—
662C22C61×#53911yescharacteristic
663C22D42×C6111yescharacteristic
664C22C61×#55311yescharacteristic
665C4—22no—
666C4—42no—
667C4—41no—
668C4—41no—
669C4—41no—
670C4—41no—
671C4—41no—
672C4—81no—
673C4—81no—
674C4—81no—
675C4C2×#123×C6111yescharacteristic
676C4C61×#52511yescharacteristic
677C4C61×#54711yescharacteristic
678C4C61×#54811yescharacteristic
679C2—21no—
680C2—21no—
681C2—42no—
682C2—81no—
683C2—161no—
684C2C61×#244311yescharacteristic
685C2C61×#328811yescharacteristic
686C2C61×#329111yescharacteristic
subgroupG/H
center, socleC22×C61D42
commutator, Frattini, cosocleC22×C4C24×C61
prime radicalC61×#3045C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C61 ◁ C22×C4×C61 ◁ G

Complements

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

NH ≅ G/Ntype
1. C61×#3096C2semidirect
3. C61×#2952C2semidirect
4. C61×#2912C2semidirect
5. C61×#2094C2semidirect
6. C61×#2090C2semidirect
7. C61×#2079C2semidirect
8. C61×#2037C2semidirect
9. C61×#1931C2semidirect
10. C61×#1922C2semidirect
11. C61×#1907C2semidirect
12. C61×#1883C2semidirect
13. C61×#1876C2semidirect
14. C61×#1859C2semidirect
15. C61×#1859C2semidirect
305. #26191C61direct (N × H)
336. #3096C2×C61semidirect
338. #2952C2×C61semidirect
339. #2912C2×C61semidirect
340. #2094C2×C61semidirect
341. #2090C2×C61semidirect
342. #2079C2×C61semidirect
343. #2037C2×C61semidirect
344. #1931C2×C61semidirect
345. #1922C2×C61semidirect
346. #1907C2×C61semidirect
347. #1883C2×C61semidirect
348. #1876C2×C61semidirect
349. #1859C2×C61semidirect
350. #1859C2×C61semidirect
410. C61#26191direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#30962
C61×#30452
C61×#29522
C61×#29122
C61×#20942
C61×#20902
C61×#20792
C61×#20372
C61×#19312
C61×#19222
C61×#19072
C61×#18832
C61×#18762
C61×#18592
#2619161