Finite Group Databasebeta

← C61×#25197 #29528630

Subgroups — C61×#25197 #29528630

Order 15616.

968 conjugacy classes of subgroups.

The subgroup lattice has 726 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3068C211yesmaximal, characteristic, complemented
2C61×#3068C211yesmaximal, characteristic, complemented
3C61×#3020C211yesmaximal, characteristic, complemented
4C2×C61×#454C211yesmaximal, characteristic, complemented
5C61×#2956C211yesmaximal, characteristic, complemented
6C61×#2889C211yesmaximal, characteristic, complemented
7C61×#2070C211yesmaximal, characteristic, complemented
8C61×#2050C211yesmaximal, characteristic, complemented
9C61×#2048C211yesmaximal, characteristic, complemented
10C61×#2003C211yesmaximal, characteristic, complemented
11C61×#1967C211yesmaximal, characteristic, complemented
12C61×#1932C211yesmaximal, characteristic, complemented
13C61×#1915C211yesmaximal, characteristic, complemented
14C61×#1903C211yesmaximal, characteristic, complemented
15C61×#1861C211yesmaximal, characteristic, complemented
16C2×2−1+4×C61C2211yescharacteristic
17C61×#575C2211yescharacteristic
18C61×#575C2211yescharacteristic
19C2×AGL(1,ℤ/8)×C61C2211yescharacteristic
20C2×AGL(1,ℤ/8)×C61C2211yescharacteristic
21C2×AGL(1,ℤ/8)×C61C2211yescharacteristic
22C61×#568C2211yescharacteristic
23C61×#568C2211yescharacteristic
24C61×#568C2211yescharacteristic
25C61×#536C2211yescharacteristic
26C2×#124×C61C2211yescharacteristic
27C61×#472—22no—
28C61×#472—22no—
29C61×#471—22no—
30C61×#471—22no—
31C61×#456—22no—
32C61×#454—22no—
33C61×#454—22no—
34C61×#454—22no—
35C61×#444—22no—
36C61×#443—22no—
37C61×#430C2211yescharacteristic
38C61×#430C2211yescharacteristic
39C61×#430C2211yescharacteristic
40C61×#423C2211yescharacteristic
41C61×#421C2211yescharacteristic
42C61×#421C2211yescharacteristic
43C2×#104×C61C2211yescharacteristic
44C2×#104×C61C2211yescharacteristic
45C2×#104×C61C2211yescharacteristic
46C61×#418C2211yescharacteristic
47C61×#413—22no—
48C61×#413C2211yescharacteristic
49C61×#413C2211yescharacteristic
50C61×#413C2211yescharacteristic
51C2×#101×C61—22no—
52C2×#101×C61C2211yescharacteristic
53C2×#101×C61C2211yescharacteristic
54C2×#101×C61C2211yescharacteristic
55C2×#101×C61C2211yescharacteristic
56C2×#100×C61C2211yescharacteristic
57C2×#100×C61C2211yescharacteristic
58C4×M16×C61C2211yescharacteristic
59C61×#344C2211yescharacteristic
60C61×#344C2211yescharacteristic
61C61×#339C2211yescharacteristic
62C61×#338C2211yescharacteristic
632−1+4×C61—22no—
642−1+4×C61—22no—
652−1+4×C61—41no—
662−1+4×C61—41no—
67C2×#41×C61—21no—
68C2×#41×C61—21no—
69C2×#41×C61—22no—
70C2×#41×C61C2311yescharacteristic
71C2×#41×C61C2311yescharacteristic
72C2×#41×C61C2311yescharacteristic
73C22×Q8×C61—21no—
74C22×Q8×C61—21no—
75C22×Q8×C61C2311yescharacteristic
76C22×D4×C61C2311yescharacteristic
77#137×C61—21no—
78#137×C61—21no—
79#137×C61—21no—
80#137×C61D412yes—
81AGL(1,ℤ/8)×C61—21no—
82AGL(1,ℤ/8)×C61—22no—
83AGL(1,ℤ/8)×C61—22no—
84AGL(1,ℤ/8)×C61—21no—
85AGL(1,ℤ/8)×C61—21no—
86AGL(1,ℤ/8)×C61—22no—
87AGL(1,ℤ/8)×C61—22no—
88AGL(1,ℤ/8)×C61—41no—
89AGL(1,ℤ/8)×C61—41no—
90AGL(1,ℤ/8)×C61D412yes—
91#135×C61—22no—
92#135×C61—41no—
93C2×SD16×C61—21no—
94C2×SD16×C61—21no—
95C2×SD16×C61—21no—
96C2×D8×C61—21no—
97C2×D8×C61—21no—
98C2×D8×C61—21no—
99#131×C61—22no—
100#131×C61—22no—
101#131×C61—22no—
102#131×C61—22no—
103#131×C61—41no—
104#131×C61—41no—
105C2×M16×C61—22no—
106C2×M16×C61—22no—
107C2×M16×C61—41no—
108C2×M16×C61C2311yescharacteristic
109C2×M16×C61C2311yescharacteristic
110C2×M16×C61C2311yescharacteristic
111C2×M16×C61C2311yescharacteristic
112C2×M16×C61C2311yescharacteristic
113C2×M16×C61C2311yescharacteristic
114C2×M16×C61C2311yescharacteristic
115C2×M16×C61C2311yescharacteristic
116C4⋊Q8×C61—21no—
117#124×C61—21no—
118#124×C61—21no—
119#124×C61—21no—
120#124×C61—41no—
121#123×C61—22no—
122C22⋊Q8×C61—41no—
123#117×C61C2311yescharacteristic
124C2×C22⋊C4×C61—22no—
125C2×C42×C61C2311yescharacteristic
126#108×C61—22no—
127#108×C61—22no—
128#108×C61—22no—
129C4⋊C8×C61—41no—
130#104×C61—22no—
131#104×C61—22no—
132#104×C61—21no—
133#104×C61—21no—
134#104×C61—21no—
135#104×C61—21no—
136#104×C61D412yes—
137#104×C61D412yes—
138#102×C61—41no—
139#101×C61—21no—
140#101×C61—21no—
141#101×C61—22no—
142#101×C61—22no—
143#101×C61—22no—
144#101×C61—22no—
145#101×C61D412yes—
146#100×C61—21no—
147#100×C61—21no—
148#100×C61—22no—
149#100×C61—22no—
150#100×C61D412yes—
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—21no—
161#41×C61—21no—
162#41×C61—21no—
163#41×C61—21no—
164#41×C61—42no—
165#41×C61—42no—
166#41×C61—44no—
167#41×C61—44no—
168#41×C61—42no—
169#41×C61—42no—
170#41×C61C2×D412yes—
171#41×C61C2×D412yes—
172C2×Q8×C61—22no—
173C2×Q8×C61—21no—
174C2×Q8×C61—21no—
175C2×Q8×C61—21no—
176C2×Q8×C61—21no—
177C2×Q8×C61—21no—
178C2×Q8×C61—21no—
179C2×Q8×C61—42no—
180C2×Q8×C61—42no—
181C2×Q8×C61—42no—
182C2×Q8×C61—42no—
183C2×Q8×C61C2×D411yescharacteristic
184C2×Q8×C61C2×D411yescharacteristic
185C2×Q8×C61#4111yescharacteristic
186C2×D4×C61—21no—
187C2×D4×C61—22no—
188C2×D4×C61—21no—
189C2×D4×C61—21no—
190C2×D4×C61—21no—
191C2×D4×C61—21no—
192C2×D4×C61—21no—
193C2×D4×C61—21no—
194C2×D4×C61—21no—
195C2×D4×C61—21no—
196C2×D4×C61C2×D411yescharacteristic
197C2×D4×C61C2×D411yescharacteristic
198C2×D4×C61#4111yescharacteristic
199C22×C4×C61—21no—
200C22×C4×C61—22no—
201C22×C4×C61—22no—
202C22×C4×C61—21no—
203C22×C4×C61—21no—
204C22×C4×C61—21no—
205C22×C4×C61#4112yes—
206C22×C4×C61C2411yescharacteristic
207Q16×C61—22no—
208Q16×C61—41no—
209SD16×C61—22no—
210SD16×C61—22no—
211SD16×C61—42no—
212SD16×C61—42no—
213SD16×C61—41no—
214SD16×C61—41no—
215SD16×C61—42no—
216D8×C61—22no—
217D8×C61—42no—
218D8×C61—42no—
219D8×C61—41no—
220D8×C61—42no—
221M16×C61—21no—
222M16×C61—21no—
223M16×C61—21no—
224M16×C61—21no—
225M16×C61—21no—
226M16×C61—21no—
227M16×C61—21no—
228M16×C61—21no—
229M16×C61—21no—
230M16×C61—21no—
231M16×C61—21no—
232M16×C61—21no—
233M16×C61—42no—
234M16×C61—42no—
235M16×C61—42no—
236M16×C61C2×D412yes—
237M16×C61C2×D412yes—
238M16×C61C2×D412yes—
239M16×C61C2×D412yes—
240C2×C8×C61—21no—
241C2×C8×C61—21no—
242C2×C8×C61—21no—
243C2×C8×C61—21no—
244C2×C8×C61—21no—
245C2×C8×C61—21no—
246C2×C8×C61—21no—
247C2×C8×C61—21no—
248C2×C8×C61—42no—
249C2×C8×C61—42no—
250C2×C8×C61—42no—
251C4⋊C4×C61—21no—
252C4⋊C4×C61—42no—
253C22⋊C4×C61—21no—
254C22⋊C4×C61—42no—
255C22⋊C4×C61—42no—
256C22⋊C4×C61—42no—
257C42×C61—21no—
258C42×C61—21no—
259C42×C61C2×D411yescharacteristic
260C42×C61C2×D411yescharacteristic
261C23×C61—21no—
262C23×C61—21no—
263C23×C61—21no—
264C23×C61—41no—
265C23×C61—41no—
266C23×C61—41no—
267C23×C61—82no—
268C23×C61C2×#4111yescharacteristic
269Q8×C61—21no—
270Q8×C61—21no—
271Q8×C61—21no—
272Q8×C61—21no—
273Q8×C61—21no—
274Q8×C61—44no—
275Q8×C61—41no—
276Q8×C61—41no—
277Q8×C61—41no—
278Q8×C61—41no—
279Q8×C61#12112yes—
280D4×C61—22no—
281D4×C61—22no—
282D4×C61—21no—
283D4×C61—21no—
284D4×C61—21no—
285D4×C61—21no—
286D4×C61—21no—
287D4×C61—44no—
288D4×C61—41no—
289D4×C61—41no—
290D4×C61—41no—
291D4×C61—41no—
292D4×C61—41no—
293D4×C61—41no—
294D4×C61—41no—
295D4×C61—41no—
296D4×C61#12112yes—
297C2×C4×C61—21no—
298C2×C4×C61—22no—
299C2×C4×C61—22no—
300C2×C4×C61—21no—
301C2×C4×C61—22no—
302C2×C4×C61—21no—
303C2×C4×C61—21no—
304C2×C4×C61—22no—
305C2×C4×C61—22no—
306C2×C4×C61—21no—
307C2×C4×C61—44no—
308C2×C4×C61—44no—
309C2×C4×C61—41no—
310C2×C4×C61—41no—
311C2×C4×C61—41no—
312C2×C4×C61—41no—
313C2×C4×C61—41no—
314C2×C4×C61—81no—
315C2×C4×C61C22×D411yescharacteristic
316C2×C4×C61C22×D411yescharacteristic
317C2×C4×C61C22×D411yescharacteristic
318C2×C4×C61C2×#4111yescharacteristic
319C2×C4×C61H(5,𝔽2)11yescharacteristic
320C2×C4×C61H(5,𝔽2)11yescharacteristic
321C8×C61—22no—
322C8×C61—22no—
323C8×C61—22no—
324C8×C61—22no—
325C8×C61—41no—
326C8×C61—41no—
327C8×C61—41no—
328C8×C61—41no—
329#25197C6111yesmaximal, characteristic, direct product factor, Sylow
330C22×C61—22no—
331C22×C61—41no—
332C22×C61—41no—
333C22×C61—41no—
334C22×C61—81no—
335C22×C61—81no—
336C22×C61—81no—
337C22×C61—82no—
338C22×C61—81no—
339C22×C61—161no—
340C22×C61—161no—
341C22×C61#52511yescharacteristic
342C22×C61#54611yescharacteristic
343C22×C61#54611yescharacteristic
344C4×C61—22no—
345C4×C61—41no—
346C4×C61—41no—
347C4×C61—42no—
348C4×C61—41no—
349C4×C61—41no—
350C4×C61—81no—
351C4×C61C2×#12111yescharacteristic
352C4×C61#53811yescharacteristic
353C4×C61D4211yescharacteristic
354C4×C61D4211yescharacteristic
355#3068C2×C6111yescharacteristic, complemented
356#3068C2×C6111yescharacteristic, complemented
357#3020C2×C6111yescharacteristic, complemented
358C2×#454C2×C6111yescharacteristic, complemented
359#2956C2×C6111yescharacteristic, complemented
360#2889C2×C6111yescharacteristic, complemented
361#2070C2×C6111yescharacteristic, complemented
362#2050C2×C6111yescharacteristic, complemented
363#2048C2×C6111yescharacteristic, complemented
364#2003C2×C6111yescharacteristic, complemented
365#1967C2×C6111yescharacteristic, complemented
366#1932C2×C6111yescharacteristic, complemented
367#1915C2×C6111yescharacteristic, complemented
368#1903C2×C6111yescharacteristic, complemented
369#1861C2×C6111yescharacteristic, complemented
370C2×C61—21no—
371C2×C61—21no—
372C2×C61—21no—
373C2×C61—42no—
374C2×C61—81no—
375C2×C61—81no—
376C2×C61—161no—
377C2×C61#242411yescharacteristic
378C2×2−1+4C22×C6111yescharacteristic
379#575C22×C6111yescharacteristic
380#575C22×C6111yescharacteristic
381C2×AGL(1,ℤ/8)C22×C6111yescharacteristic
382C2×AGL(1,ℤ/8)C22×C6111yescharacteristic
383C2×AGL(1,ℤ/8)C22×C6111yescharacteristic
384#568C22×C6111yescharacteristic
385#568C22×C6111yescharacteristic
386#568C22×C6111yescharacteristic
387#536C22×C6111yescharacteristic
388C2×#124C22×C6111yescharacteristic
389#472—22no—
390#472—22no—
391#471—22no—
392#471—22no—
393#456—22no—
394#454—22no—
395#454—22no—
396#454—22no—
397#444—22no—
398#443—22no—
399#430C22×C6111yescharacteristic
400#430C22×C6111yescharacteristic
401#430C22×C6111yescharacteristic
402#423C22×C6111yescharacteristic
403#421C22×C6111yescharacteristic
404#421C22×C6111yescharacteristic
405C2×#104C22×C6111yescharacteristic
406C2×#104C22×C6111yescharacteristic
407C2×#104C22×C6111yescharacteristic
408#418C22×C6111yescharacteristic
409#413—22no—
410#413C22×C6111yescharacteristic
411#413C22×C6111yescharacteristic
412#413C22×C6111yescharacteristic
413C2×#101—22no—
414C2×#101C22×C6111yescharacteristic
415C2×#101C22×C6111yescharacteristic
416C2×#101C22×C6111yescharacteristic
417C2×#101C22×C6111yescharacteristic
418C2×#100C22×C6111yescharacteristic
419C2×#100C22×C6111yescharacteristic
420C4×M16C22×C6111yescharacteristic
421#344C22×C6111yescharacteristic
422#344C22×C6111yescharacteristic
423#339C22×C6111yescharacteristic
424#338C22×C6111yescharacteristic
425C61#2519711yescharacteristic, direct product factor, Sylow
4262−1+4—22no—
4272−1+4—22no—
4282−1+4—41no—
4292−1+4—41no—
430C2×#41—21no—
431C2×#41—21no—
432C2×#41—22no—
433C2×#41C23×C6111yescharacteristic
434C2×#41C23×C6111yescharacteristic
435C2×#41C23×C6111yescharacteristic
436C22×Q8—21no—
437C22×Q8—21no—
438C22×Q8C23×C6111yescharacteristic
439C22×D4C23×C6111yescharacteristic
440#137—21no—
441#137—21no—
442#137—21no—
443#137D4×C6112yes—
444AGL(1,ℤ/8)—21no—
445AGL(1,ℤ/8)—22no—
446AGL(1,ℤ/8)—22no—
447AGL(1,ℤ/8)—21no—
448AGL(1,ℤ/8)—21no—
449AGL(1,ℤ/8)—22no—
450AGL(1,ℤ/8)—22no—
451AGL(1,ℤ/8)—41no—
452AGL(1,ℤ/8)—41no—
453AGL(1,ℤ/8)D4×C6112yes—
454#135—22no—
455#135—41no—
456C2×SD16—21no—
457C2×SD16—21no—
458C2×SD16—21no—
459C2×D8—21no—
460C2×D8—21no—
461C2×D8—21no—
462#131—22no—
463#131—22no—
464#131—22no—
465#131—22no—
466#131—41no—
467#131—41no—
468C2×M16—22no—
469C2×M16—22no—
470C2×M16—41no—
471C2×M16C23×C6111yescharacteristic
472C2×M16C23×C6111yescharacteristic
473C2×M16C23×C6111yescharacteristic
474C2×M16C23×C6111yescharacteristic
475C2×M16C23×C6111yescharacteristic
476C2×M16C23×C6111yescharacteristic
477C2×M16C23×C6111yescharacteristic
478C2×M16C23×C6111yescharacteristic
479C4⋊Q8—21no—
480#124—21no—
481#124—21no—
482#124—21no—
483#124—41no—
484#123—22no—
485C22⋊Q8—41no—
486#117C23×C6111yescharacteristic
487C2×C22⋊C4—22no—
488C2×C42C23×C6111yescharacteristic
489#108—22no—
490#108—22no—
491#108—22no—
492C4⋊C8—41no—
493#104—22no—
494#104—22no—
495#104—21no—
496#104—21no—
497#104—21no—
498#104—21no—
499#104D4×C6112yes—
500#104D4×C6112yes—
501#102—41no—
502#101—21no—
503#101—21no—
504#101—22no—
505#101—22no—
506#101—22no—
507#101—22no—
508#101D4×C6112yes—
509#100—21no—
510#100—21no—
511#100—22no—
512#100—22no—
513#100D4×C6112yes—
514#97—21no—
515C4×C8—21no—
516C24—21no—
517#41—21no—
518#41—21no—
519#41—21no—
520#41—21no—
521#41—21no—
522#41—21no—
523#41—21no—
524#41—21no—
525#41—21no—
526#41—21no—
527#41—42no—
528#41—42no—
529#41—44no—
530#41—44no—
531#41—42no—
532#41—42no—
533#41C2×D4×C6112yes—
534#41C2×D4×C6112yes—
535C2×Q8—22no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—42no—
543C2×Q8—42no—
544C2×Q8—42no—
545C2×Q8—42no—
546C2×Q8C2×D4×C6111yescharacteristic
547C2×Q8C2×D4×C6111yescharacteristic
548C2×Q8#41×C6111yescharacteristic
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4—21no—
554C2×D4—21no—
555C2×D4—21no—
556C2×D4—21no—
557C2×D4—21no—
558C2×D4—21no—
559C2×D4C2×D4×C6111yescharacteristic
560C2×D4C2×D4×C6111yescharacteristic
561C2×D4#41×C6111yescharacteristic
562C22×C4—21no—
563C22×C4—22no—
564C22×C4—22no—
565C22×C4—21no—
566C22×C4—21no—
567C22×C4—21no—
568C22×C4#41×C6112yes—
569C22×C4C24×C6111yescharacteristic
570Q16—22no—
571Q16—41no—
572SD16—22no—
573SD16—22no—
574SD16—42no—
575SD16—42no—
576SD16—41no—
577SD16—41no—
578SD16—42no—
579D8—22no—
580D8—42no—
581D8—42no—
582D8—41no—
583D8—42no—
584M16—21no—
585M16—21no—
586M16—21no—
587M16—21no—
588M16—21no—
589M16—21no—
590M16—21no—
591M16—21no—
592M16—21no—
593M16—21no—
594M16—21no—
595M16—21no—
596M16—42no—
597M16—42no—
598M16—42no—
599M16C2×D4×C6112yes—
600M16C2×D4×C6112yes—
601M16C2×D4×C6112yes—
602M16C2×D4×C6112yes—
603C2×C8—21no—
604C2×C8—21no—
605C2×C8—21no—
606C2×C8—21no—
607C2×C8—21no—
608C2×C8—21no—
609C2×C8—21no—
610C2×C8—21no—
611C2×C8—42no—
612C2×C8—42no—
613C2×C8—42no—
614C4⋊C4—21no—
615C4⋊C4—42no—
616C22⋊C4—21no—
617C22⋊C4—42no—
618C22⋊C4—42no—
619C22⋊C4—42no—
620C42—21no—
621C42—21no—
622C42C2×D4×C6111yescharacteristic
623C42C2×D4×C6111yescharacteristic
624C23—21no—
625C23—21no—
626C23—21no—
627C23—41no—
628C23—41no—
629C23—41no—
630C23—82no—
631C23C2×#41×C6111yescharacteristic
632Q8—21no—
633Q8—21no—
634Q8—21no—
635Q8—21no—
636Q8—21no—
637Q8—44no—
638Q8—41no—
639Q8—41no—
640Q8—41no—
641Q8—41no—
642Q8#121×C6112yes—
643D4—22no—
644D4—22no—
645D4—21no—
646D4—21no—
647D4—21no—
648D4—21no—
649D4—21no—
650D4—44no—
651D4—41no—
652D4—41no—
653D4—41no—
654D4—41no—
655D4—41no—
656D4—41no—
657D4—41no—
658D4—41no—
659D4#121×C6112yes—
660C2×C4—21no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—22no—
670C2×C4—44no—
671C2×C4—44no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—81no—
678C2×C4C22×D4×C6111yescharacteristic
679C2×C4C22×D4×C6111yescharacteristic
680C2×C4C22×D4×C6111yescharacteristic
681C2×C4C2×#41×C6111yescharacteristic
682C2×C4H(5,𝔽2)×C6111yescharacteristic
683C2×C4H(5,𝔽2)×C6111yescharacteristic
684C8—22no—
685C8—22no—
686C8—22no—
687C8—22no—
688C8—41no—
689C8—41no—
690C8—41no—
691C8—41no—
692C22—22no—
693C22—41no—
694C22—41no—
695C22—41no—
696C22—81no—
697C22—81no—
698C22—81no—
699C22—82no—
700C22—81no—
701C22—161no—
702C22—161no—
703C22C61×#52511yescharacteristic
704C22C61×#54611yescharacteristic
705C22C61×#54611yescharacteristic
706C4—22no—
707C4—41no—
708C4—41no—
709C4—42no—
710C4—41no—
711C4—41no—
712C4—81no—
713C4C2×#121×C6111yescharacteristic
714C4C61×#53811yescharacteristic
715C4D42×C6111yescharacteristic
716C4D42×C6111yescharacteristic
717C2—21no—
718C2—21no—
719C2—21no—
720C2—42no—
721C2—81no—
722C2—81no—
723C2—161no—
724C2C61×#242411yescharacteristic
subgroupG/H
center, socleC2×C61#2424
commutator, Frattini, cosocleC22×C4C24×C61
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C61 ◁ C22×C4×C61 ◁ G

Complements

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

NH ≅ G/Ntype
1. C61×#3068C2semidirect
2. C61×#3068C2semidirect
3. C61×#3020C2semidirect
4. C2×C61×#454C2semidirect
5. C61×#2956C2semidirect
6. C61×#2889C2semidirect
7. C61×#2070C2semidirect
8. C61×#2050C2semidirect
9. C61×#2048C2semidirect
10. C61×#2003C2semidirect
11. C61×#1967C2semidirect
12. C61×#1932C2semidirect
13. C61×#1915C2semidirect
14. C61×#1903C2semidirect
15. C61×#1861C2semidirect
329. #25197C61direct (N × H)
355. #3068C2×C61semidirect
356. #3068C2×C61semidirect
357. #3020C2×C61semidirect
358. C2×#454C2×C61semidirect
359. #2956C2×C61semidirect
360. #2889C2×C61semidirect
361. #2070C2×C61semidirect
362. #2050C2×C61semidirect
363. #2048C2×C61semidirect
364. #2003C2×C61semidirect
365. #1967C2×C61semidirect
366. #1932C2×C61semidirect
367. #1915C2×C61semidirect
368. #1903C2×C61semidirect
369. #1861C2×C61semidirect
425. C61#25197direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#30682
C61×#30202
C2×C61×#4542
C61×#29562
C61×#28892
C61×#20702
C61×#20502
C61×#20482
C61×#20032
C61×#19672
C61×#19322
C61×#19152
C61×#19032
C61×#18612
#2519761