Finite Group Databasebeta

← C61×#26994 #29530427

Subgroups — C61×#26994 #29530427

Order 15616.

786 conjugacy classes of subgroups.

The subgroup lattice has 718 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3098C211yesmaximal, characteristic, complemented
2C61×#3062C211yesmaximal, characteristic
3C61×#3043C211yesmaximal, characteristic, complemented
4C61×#2947C211yesmaximal, characteristic, complemented
5C61×#2089C211yesmaximal, characteristic, complemented
6C61×#2037C211yesmaximal, characteristic, complemented
7C61×#2019C211yesmaximal, characteristic, complemented
8C61×#2007C211yesmaximal, characteristic, complemented
9C61×#1973C211yesmaximal, characteristic, complemented
10C61×#1938C211yesmaximal, characteristic, complemented
11C61×#1931C211yesmaximal, characteristic, complemented
12C61×#1908C211yesmaximal, characteristic, complemented
13C61×#1883C211yesmaximal, characteristic, complemented
14C61×#1857C211yesmaximal, characteristic, complemented
15C61×#1765C211yesmaximal, characteristic, complemented
16C2×#137×C61C2211yescharacteristic
17C2×#137×C61C2211yescharacteristic
18C2×AGL(1,ℤ/8)×C61C2211yescharacteristic
19C22×SD16×C61C2211yescharacteristic
20C2×#131×C61C2211yescharacteristic
21C61×#537C2211yescharacteristic
22C61×#535C2211yescharacteristic
23C61×#520C2211yescharacteristic
24C61×#519C2211yescharacteristic
25C61×#485—21no—
26C61×#484—21no—
27C61×#482—21no—
28C61×#480—21no—
29C61×#469—21no—
30C61×#468—21no—
31C61×#466—21no—
32C61×#465—21no—
33C61×#464—21no—
34C61×#464—21no—
35C61×#460—21no—
36C61×#460—21no—
37C61×#441—21no—
38C61×#440—21no—
39C4×Q16×C61—21no—
40C4×SD16×C61—21no—
41C61×#428C2211yescharacteristic
42C61×#428C2211yescharacteristic
43C61×#428C2211yescharacteristic
44C2×#107×C61C2211yescharacteristic
45C61×#424C2211yescharacteristic
46C2×#104×C61C2211yescharacteristic
47C2×#104×C61C2211yescharacteristic
48C61×#418C2211yescharacteristic
49C61×#417C2211yescharacteristic
50C61×#416C2211yescharacteristic
51C61×#416C2211yescharacteristic
52C2×#103×C61C2211yescharacteristic
53C2×#102×C61C2211yescharacteristic
54C2×#101×C61C2211yescharacteristic
55C2×#100×C61C2211yescharacteristic
56C61×#408C2211yescharacteristic
57C61×#405C2211yescharacteristic
58C2×#97×C61C2211yescharacteristic
59C61×#391C2211yescharacteristic
60C61×#390C2211yescharacteristic
61C61×#343C2211yescharacteristic
62C61×#343C2211yescharacteristic
63C61×#341C2211yescharacteristic
64C61×#341C2211yescharacteristic
65C61×#339C2211yescharacteristic
66C61×#339C2211yescharacteristic
67C2×#41×C61C2311yescharacteristic
68C2×#41×C61C2311yescharacteristic
69C22×Q8×C61C2311yescharacteristic
70C22×D4×C61C2311yescharacteristic
71#137×C61—22no—
72#137×C61—22no—
73#137×C61—22no—
74#137×C61—41no—
75AGL(1,ℤ/8)×C61—22no—
76AGL(1,ℤ/8)×C61—41no—
77C2×Q16×C61—21no—
78C2×Q16×C61—21no—
79C2×SD16×C61—21no—
80C2×SD16×C61—21no—
81C2×SD16×C61—22no—
82C2×SD16×C61—21no—
83C2×SD16×C61—21no—
84C2×SD16×C61—21no—
85C2×SD16×C61—41no—
86C2×D8×C61—21no—
87#131×C61—22no—
88#131×C61—41no—
89C2×M16×C61—21no—
90C2×M16×C61C2311yescharacteristic
91C2×M16×C61C2311yescharacteristic
92C2×M16×C61C2311yescharacteristic
93C2×M16×C61C2311yescharacteristic
94C22×C8×C61—21no—
95C22×C8×C61C2311yescharacteristic
96C22×C8×C61C2311yescharacteristic
97#127×C61—21no—
98#124×C61—21no—
99C22⋊Q8×C61—21no—
100C22⋊Q8×C61—21no—
101#121×C61—21no—
102#121×C61—21no—
103#121×C61—21no—
104#121×C61—21no—
105#121×C61—41no—
106#120×C61—41no—
107C4×Q8×C61—21no—
108C4×Q8×C61—21no—
109C4×Q8×C61—21no—
110C4×Q8×C61—21no—
111C4×Q8×C61—21no—
112C4×D4×C61—21no—
113C4×D4×C61—41no—
114#117×C61—21no—
115#117×C61—41no—
116#117×C61C2311yescharacteristic
117#117×C61C2311yescharacteristic
118C2×C4⋊C4×C61—21no—
119C2×C4⋊C4×C61C2311yescharacteristic
120C2×C4⋊C4×C61C2311yescharacteristic
121C2×C22⋊C4×C61—41no—
122C2×C42×C61C2311yescharacteristic
123#107×C61—21no—
124#107×C61—21no—
125#107×C61—21no—
126#107×C61—21no—
127#107×C61—21no—
128#106×C61—21no—
129#106×C61—21no—
130#106×C61—21no—
131C4⋊C8×C61—21no—
132C4⋊C8×C61—21no—
133#104×C61—22no—
134#104×C61—41no—
135#103×C61—21no—
136#103×C61—21no—
137#103×C61—21no—
138#103×C61D411yescharacteristic
139#103×C61D411yescharacteristic
140#103×C61D411yescharacteristic
141#103×C61D411yescharacteristic
142#102×C61—21no—
143#102×C61—21no—
144#102×C61—21no—
145#102×C61—21no—
146#102×C61—21no—
147#102×C61D411yescharacteristic
148#102×C61D411yescharacteristic
149#102×C61D411yescharacteristic
150#102×C61D411yescharacteristic
151#101×C61—22no—
152#100×C61—22no—
153C22⋊C8×C61—21no—
154C22⋊C8×C61—21no—
155#97×C61—21no—
156#97×C61—41no—
157C4×C8×C61—21no—
158#95×C61—41no—
159C24×C61—21no—
160#41×C61—21no—
161#41×C61—21no—
162#41×C61—21no—
163#41×C61—21no—
164#41×C61—21no—
165#41×C61—21no—
166#41×C61—21no—
167#41×C61—21no—
168C2×Q8×C61—21no—
169C2×Q8×C61—21no—
170C2×Q8×C61—21no—
171C2×Q8×C61—21no—
172C2×Q8×C61—21no—
173C2×Q8×C61C2×D411yescharacteristic
174C2×Q8×C61C2×D411yescharacteristic
175C2×Q8×C61#4112yes—
176C2×D4×C61—21no—
177C2×D4×C61—21no—
178C2×D4×C61—21no—
179C2×D4×C61—21no—
180C2×D4×C61—21no—
181C2×D4×C61—21no—
182C2×D4×C61—21no—
183C2×D4×C61—21no—
184C2×D4×C61—41no—
185C2×D4×C61—41no—
186C2×D4×C61—41no—
187C2×D4×C61C2×D411yescharacteristic
188C2×D4×C61C2×D411yescharacteristic
189C22×C4×C61—21no—
190C22×C4×C61—21no—
191C22×C4×C61—21no—
192C22×C4×C61—21no—
193C22×C4×C61—21no—
194C22×C4×C61—21no—
195C22×C4×C61—41no—
196C22×C4×C61C2411yescharacteristic
197Q16×C61—24no—
198Q16×C61—42no—
199SD16×C61—24no—
200SD16×C61—42no—
201SD16×C61—42no—
202SD16×C61—42no—
203SD16×C61—42no—
204D8×C61—42no—
205M16×C61—21no—
206M16×C61—21no—
207M16×C61—21no—
208M16×C61—21no—
209M16×C61—21no—
210M16×C61—21no—
211M16×C61—42no—
212M16×C61#4112yes—
213M16×C61#4112yes—
214C2×C8×C61—21no—
215C2×C8×C61—21no—
216C2×C8×C61—21no—
217C2×C8×C61—21no—
218C2×C8×C61—21no—
219C2×C8×C61—21no—
220C2×C8×C61—21no—
221C2×C8×C61—21no—
222C2×C8×C61—42no—
223C2×C8×C61C2×D411yescharacteristic
224C2×C8×C61C2×D411yescharacteristic
225C2×C8×C61C2×D411yescharacteristic
226C2×C8×C61C2×D411yescharacteristic
227C4⋊C4×C61—21no—
228C4⋊C4×C61—21no—
229C4⋊C4×C61—21no—
230C4⋊C4×C61—21no—
231C4⋊C4×C61—41no—
232C4⋊C4×C61—41no—
233C4⋊C4×C61—41no—
234C4⋊C4×C61—41no—
235C4⋊C4×C61C2×D411yescharacteristic
236C4⋊C4×C61C2×D411yescharacteristic
237C4⋊C4×C61C2×D411yescharacteristic
238C4⋊C4×C61C2×D411yescharacteristic
239C22⋊C4×C61—21no—
240C22⋊C4×C61—21no—
241C22⋊C4×C61—41no—
242C22⋊C4×C61—41no—
243C22⋊C4×C61—41no—
244C22⋊C4×C61—41no—
245C22⋊C4×C61—41no—
246C22⋊C4×C61—82no—
247C42×C61—21no—
248C42×C61—21no—
249C42×C61—21no—
250C42×C61—21no—
251C42×C61—41no—
252C42×C61—41no—
253C42×C61—41no—
254C23×C61—21no—
255C23×C61—21no—
256C23×C61—41no—
257C23×C61—41no—
258C23×C61—41no—
259C23×C61—81no—
260C23×C61—81no—
261C23×C61H(5,𝔽2)11yescharacteristic
262Q8×C61—22no—
263Q8×C61—21no—
264Q8×C61—21no—
265Q8×C61—22no—
266Q8×C61—21no—
267Q8×C61—21no—
268Q8×C61—41no—
269Q8×C61—41no—
270D4×C61—21no—
271D4×C61—21no—
272D4×C61—21no—
273D4×C61—21no—
274D4×C61—41no—
275D4×C61—41no—
276D4×C61—41no—
277D4×C61—41no—
278D4×C61—41no—
279D4×C61—41no—
280D4×C61—41no—
281D4×C61—41no—
282D4×C61—161no—
283D4×C61—161no—
284D4×C61—161no—
285C2×C4×C61—21no—
286C2×C4×C61—21no—
287C2×C4×C61—21no—
288C2×C4×C61—21no—
289C2×C4×C61—21no—
290C2×C4×C61—21no—
291C2×C4×C61—22no—
292C2×C4×C61—41no—
293C2×C4×C61—41no—
294C2×C4×C61—41no—
295C2×C4×C61—41no—
296C2×C4×C61—41no—
297C2×C4×C61—41no—
298C2×C4×C61—41no—
299C2×C4×C61—41no—
300C2×C4×C61—41no—
301C2×C4×C61—41no—
302C2×C4×C61—41no—
303C2×C4×C61—81no—
304C2×C4×C61—81no—
305C2×C4×C61—161no—
306C2×C4×C61C22×D411yescharacteristic
307C2×C4×C61C22×D411yescharacteristic
308C2×C4×C61C2×#4111yescharacteristic
309C2×C4×C61C2×#4111yescharacteristic
310C2×C4×C61C2×#4111yescharacteristic
311C2×C4×C61H(5,𝔽2)11yescharacteristic
312C8×C61—22no—
313C8×C61—21no—
314C8×C61—21no—
315C8×C61—21no—
316C8×C61—21no—
317C8×C61—22no—
318C8×C61—41no—
319C8×C61—41no—
320#26994C6111yesmaximal, characteristic, direct product factor, Sylow
321C22×C61—21no—
322C22×C61—21no—
323C22×C61—41no—
324C22×C61—41no—
325C22×C61—41no—
326C22×C61—41no—
327C22×C61—41no—
328C22×C61—41no—
329C22×C61—82no—
330C22×C61—81no—
331C22×C61—81no—
332C22×C61—81no—
333C22×C61—161no—
334C22×C61#54011yescharacteristic
335C22×C61D4211yescharacteristic
336C22×C61#55311yescharacteristic
337C4×C61—41no—
338C4×C61—41no—
339C4×C61—42no—
340C4×C61—41no—
341C4×C61—41no—
342C4×C61—41no—
343C4×C61—41no—
344C4×C61—81no—
345C4×C61—81no—
346C4×C61—81no—
347C4×C61#52511yescharacteristic
348C4×C61#53211yescharacteristic
349C4×C61#54611yescharacteristic
350C4×C61#54611yescharacteristic
351#3098C2×C6111yescharacteristic, complemented
352#3062C2×C6111yescharacteristic
353#3043C2×C6111yescharacteristic, complemented
354#2947C2×C6111yescharacteristic, complemented
355#2089C2×C6111yescharacteristic, complemented
356#2037C2×C6111yescharacteristic, complemented
357#2019C2×C6111yescharacteristic, complemented
358#2007C2×C6111yescharacteristic, complemented
359#1973C2×C6111yescharacteristic, complemented
360#1938C2×C6111yescharacteristic, complemented
361#1931C2×C6111yescharacteristic, complemented
362#1908C2×C6111yescharacteristic, complemented
363#1883C2×C6111yescharacteristic, complemented
364#1857C2×C6111yescharacteristic, complemented
365#1765C2×C6111yescharacteristic, complemented
366C2×C61—21no—
367C2×C61—21no—
368C2×C61—81no—
369C2×C61—81no—
370C2×C61—161no—
371C2×C61#246411yescharacteristic
372C2×C61#328811yescharacteristic
373C2×C61#328911yescharacteristic
374C2×#137C22×C6111yescharacteristic
375C2×#137C22×C6111yescharacteristic
376C2×AGL(1,ℤ/8)C22×C6111yescharacteristic
377C22×SD16C22×C6111yescharacteristic
378C2×#131C22×C6111yescharacteristic
379#537C22×C6111yescharacteristic
380#535C22×C6111yescharacteristic
381#520C22×C6111yescharacteristic
382#519C22×C6111yescharacteristic
383#485—21no—
384#484—21no—
385#482—21no—
386#480—21no—
387#469—21no—
388#468—21no—
389#466—21no—
390#465—21no—
391#464—21no—
392#464—21no—
393#460—21no—
394#460—21no—
395#441—21no—
396#440—21no—
397C4×Q16—21no—
398C4×SD16—21no—
399#428C22×C6111yescharacteristic
400#428C22×C6111yescharacteristic
401#428C22×C6111yescharacteristic
402C2×#107C22×C6111yescharacteristic
403#424C22×C6111yescharacteristic
404C2×#104C22×C6111yescharacteristic
405C2×#104C22×C6111yescharacteristic
406#418C22×C6111yescharacteristic
407#417C22×C6111yescharacteristic
408#416C22×C6111yescharacteristic
409#416C22×C6111yescharacteristic
410C2×#103C22×C6111yescharacteristic
411C2×#102C22×C6111yescharacteristic
412C2×#101C22×C6111yescharacteristic
413C2×#100C22×C6111yescharacteristic
414#408C22×C6111yescharacteristic
415#405C22×C6111yescharacteristic
416C2×#97C22×C6111yescharacteristic
417#391C22×C6111yescharacteristic
418#390C22×C6111yescharacteristic
419#343C22×C6111yescharacteristic
420#343C22×C6111yescharacteristic
421#341C22×C6111yescharacteristic
422#341C22×C6111yescharacteristic
423#339C22×C6111yescharacteristic
424#339C22×C6111yescharacteristic
425C61#2699411yescharacteristic, direct product factor, Sylow
426C2×#41C23×C6111yescharacteristic
427C2×#41C23×C6111yescharacteristic
428C22×Q8C23×C6111yescharacteristic
429C22×D4C23×C6111yescharacteristic
430#137—22no—
431#137—22no—
432#137—22no—
433#137—41no—
434AGL(1,ℤ/8)—22no—
435AGL(1,ℤ/8)—41no—
436C2×Q16—21no—
437C2×Q16—21no—
438C2×SD16—21no—
439C2×SD16—21no—
440C2×SD16—22no—
441C2×SD16—21no—
442C2×SD16—21no—
443C2×SD16—21no—
444C2×SD16—41no—
445C2×D8—21no—
446#131—22no—
447#131—41no—
448C2×M16—21no—
449C2×M16C23×C6111yescharacteristic
450C2×M16C23×C6111yescharacteristic
451C2×M16C23×C6111yescharacteristic
452C2×M16C23×C6111yescharacteristic
453C22×C8—21no—
454C22×C8C23×C6111yescharacteristic
455C22×C8C23×C6111yescharacteristic
456#127—21no—
457#124—21no—
458C22⋊Q8—21no—
459C22⋊Q8—21no—
460#121—21no—
461#121—21no—
462#121—21no—
463#121—21no—
464#121—41no—
465#120—41no—
466C4×Q8—21no—
467C4×Q8—21no—
468C4×Q8—21no—
469C4×Q8—21no—
470C4×Q8—21no—
471C4×D4—21no—
472C4×D4—41no—
473#117—21no—
474#117—41no—
475#117C23×C6111yescharacteristic
476#117C23×C6111yescharacteristic
477C2×C4⋊C4—21no—
478C2×C4⋊C4C23×C6111yescharacteristic
479C2×C4⋊C4C23×C6111yescharacteristic
480C2×C22⋊C4—41no—
481C2×C42C23×C6111yescharacteristic
482#107—21no—
483#107—21no—
484#107—21no—
485#107—21no—
486#107—21no—
487#106—21no—
488#106—21no—
489#106—21no—
490C4⋊C8—21no—
491C4⋊C8—21no—
492#104—22no—
493#104—41no—
494#103—21no—
495#103—21no—
496#103—21no—
497#103D4×C6111yescharacteristic
498#103D4×C6111yescharacteristic
499#103D4×C6111yescharacteristic
500#103D4×C6111yescharacteristic
501#102—21no—
502#102—21no—
503#102—21no—
504#102—21no—
505#102—21no—
506#102D4×C6111yescharacteristic
507#102D4×C6111yescharacteristic
508#102D4×C6111yescharacteristic
509#102D4×C6111yescharacteristic
510#101—22no—
511#100—22no—
512C22⋊C8—21no—
513C22⋊C8—21no—
514#97—21no—
515#97—41no—
516C4×C8—21no—
517#95—41no—
518C24—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—
527C2×Q8—21no—
528C2×Q8—21no—
529C2×Q8—21no—
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8C2×D4×C6111yescharacteristic
533C2×Q8C2×D4×C6111yescharacteristic
534C2×Q8#41×C6112yes—
535C2×D4—21no—
536C2×D4—21no—
537C2×D4—21no—
538C2×D4—21no—
539C2×D4—21no—
540C2×D4—21no—
541C2×D4—21no—
542C2×D4—21no—
543C2×D4—41no—
544C2×D4—41no—
545C2×D4—41no—
546C2×D4C2×D4×C6111yescharacteristic
547C2×D4C2×D4×C6111yescharacteristic
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—21no—
554C22×C4—41no—
555C22×C4C24×C6111yescharacteristic
556Q16—24no—
557Q16—42no—
558SD16—24no—
559SD16—42no—
560SD16—42no—
561SD16—42no—
562SD16—42no—
563D8—42no—
564M16—21no—
565M16—21no—
566M16—21no—
567M16—21no—
568M16—21no—
569M16—21no—
570M16—42no—
571M16#41×C6112yes—
572M16#41×C6112yes—
573C2×C8—21no—
574C2×C8—21no—
575C2×C8—21no—
576C2×C8—21no—
577C2×C8—21no—
578C2×C8—21no—
579C2×C8—21no—
580C2×C8—21no—
581C2×C8—42no—
582C2×C8C2×D4×C6111yescharacteristic
583C2×C8C2×D4×C6111yescharacteristic
584C2×C8C2×D4×C6111yescharacteristic
585C2×C8C2×D4×C6111yescharacteristic
586C4⋊C4—21no—
587C4⋊C4—21no—
588C4⋊C4—21no—
589C4⋊C4—21no—
590C4⋊C4—41no—
591C4⋊C4—41no—
592C4⋊C4—41no—
593C4⋊C4—41no—
594C4⋊C4C2×D4×C6111yescharacteristic
595C4⋊C4C2×D4×C6111yescharacteristic
596C4⋊C4C2×D4×C6111yescharacteristic
597C4⋊C4C2×D4×C6111yescharacteristic
598C22⋊C4—21no—
599C22⋊C4—21no—
600C22⋊C4—41no—
601C22⋊C4—41no—
602C22⋊C4—41no—
603C22⋊C4—41no—
604C22⋊C4—41no—
605C22⋊C4—82no—
606C42—21no—
607C42—21no—
608C42—21no—
609C42—21no—
610C42—41no—
611C42—41no—
612C42—41no—
613C23—21no—
614C23—21no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—81no—
619C23—81no—
620C23H(5,𝔽2)×C6111yescharacteristic
621Q8—21no—
622Q8—22no—
623Q8—21no—
624Q8—21no—
625Q8—22no—
626Q8—21no—
627Q8—41no—
628Q8—41no—
629D4—21no—
630D4—21no—
631D4—21no—
632D4—21no—
633D4—41no—
634D4—41no—
635D4—41no—
636D4—41no—
637D4—41no—
638D4—41no—
639D4—41no—
640D4—41no—
641D4—161no—
642D4—161no—
643D4—161no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—22no—
651C2×C4—41no—
652C2×C4—41no—
653C2×C4—41no—
654C2×C4—41no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—41no—
662C2×C4—81no—
663C2×C4—81no—
664C2×C4—161no—
665C2×C4C22×D4×C6111yescharacteristic
666C2×C4C22×D4×C6111yescharacteristic
667C2×C4C2×#41×C6111yescharacteristic
668C2×C4C2×#41×C6111yescharacteristic
669C2×C4C2×#41×C6111yescharacteristic
670C2×C4H(5,𝔽2)×C6111yescharacteristic
671C8—21no—
672C8—21no—
673C8—21no—
674C8—21no—
675C8—22no—
676C8—22no—
677C8—41no—
678C8—41no—
679C22—21no—
680C22—21no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—41no—
685C22—41no—
686C22—41no—
687C22—82no—
688C22—81no—
689C22—81no—
690C22—81no—
691C22—161no—
692C22C61×#54011yescharacteristic
693C22D42×C6111yescharacteristic
694C22C61×#55311yescharacteristic
695C4—41no—
696C4—41no—
697C4—41no—
698C4—41no—
699C4—41no—
700C4—41no—
701C4—42no—
702C4—81no—
703C4—81no—
704C4—81no—
705C4C61×#52511yescharacteristic
706C4C61×#53211yescharacteristic
707C4C61×#54611yescharacteristic
708C4C61×#54611yescharacteristic
709C2—21no—
710C2—21no—
711C2—81no—
712C2—81no—
713C2—161no—
714C2C61×#246411yescharacteristic
715C2C61×#328811yescharacteristic
716C2C61×#328911yescharacteristic
subgroupG/H
center, socleC22×C61D42
commutator, Frattini, cosocleC22×C4C24×C61
prime radicalC61×#3062C2
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×#3098C2semidirect
3. C61×#3043C2semidirect
4. C61×#2947C2semidirect
5. C61×#2089C2semidirect
6. C61×#2037C2semidirect
7. C61×#2019C2semidirect
8. C61×#2007C2semidirect
9. C61×#1973C2semidirect
10. C61×#1938C2semidirect
11. C61×#1931C2semidirect
12. C61×#1908C2semidirect
13. C61×#1883C2semidirect
14. C61×#1857C2semidirect
15. C61×#1765C2semidirect
320. #26994C61direct (N × H)
351. #3098C2×C61semidirect
353. #3043C2×C61semidirect
354. #2947C2×C61semidirect
355. #2089C2×C61semidirect
356. #2037C2×C61semidirect
357. #2019C2×C61semidirect
358. #2007C2×C61semidirect
359. #1973C2×C61semidirect
360. #1938C2×C61semidirect
361. #1931C2×C61semidirect
362. #1908C2×C61semidirect
363. #1883C2×C61semidirect
364. #1857C2×C61semidirect
365. #1765C2×C61semidirect
425. C61#26994direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#30982
C61×#30622
C61×#30432
C61×#29472
C61×#20892
C61×#20372
C61×#20192
C61×#20072
C61×#19732
C61×#19382
C61×#19312
C61×#19082
C61×#18832
C61×#18572
C61×#17652
#2699461