Finite Group Databasebeta

← C61×#26995 #29530428

Subgroups — C61×#26995 #29530428

Order 15616.

762 conjugacy classes of subgroups.

The subgroup lattice has 698 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3099C211yesmaximal, characteristic
2C61×#3063C211yesmaximal, characteristic
3C61×#3044C211yesmaximal, characteristic, complemented
4C61×#2947C211yesmaximal, characteristic, complemented
5C61×#2090C211yesmaximal, characteristic, complemented
6C61×#2038C211yesmaximal, characteristic, complemented
7C61×#2020C211yesmaximal, characteristic, complemented
8C61×#2007C211yesmaximal, characteristic
9C61×#1971C211yesmaximal, characteristic, complemented
10C61×#1938C211yesmaximal, characteristic, complemented
11C61×#1930C211yesmaximal, characteristic, complemented
12C61×#1908C211yesmaximal, characteristic, complemented
13C61×#1882C211yesmaximal, characteristic, complemented
14C61×#1857C211yesmaximal, characteristic, complemented
15C61×#1765C211yesmaximal, characteristic, complemented
16C2×#137×C61C2211yescharacteristic
17C2×#137×C61C2211yescharacteristic
18C2×#137×C61C2211yescharacteristic
19C22×Q16×C61C2211yescharacteristic
20C2×#131×C61C2211yescharacteristic
21C61×#537C2211yescharacteristic
22C61×#536C2211yescharacteristic
23C61×#520C2211yescharacteristic
24C61×#519C2211yescharacteristic
25C61×#485—21no—
26C61×#483—21no—
27C61×#482—21no—
28C61×#481—21no—
29C61×#470—21no—
30C61×#468—21no—
31C61×#467—21no—
32C61×#465—21no—
33C61×#464—21no—
34C61×#464—21no—
35C61×#462—21no—
36C61×#462—21no—
37C61×#441—21no—
38C61×#440—21no—
39C4×Q16×C61—21no—
40C4×SD16×C61—21no—
41C61×#428C2211yescharacteristic
42C61×#428C2211yescharacteristic
43C61×#428C2211yescharacteristic
44C2×#106×C61C2211yescharacteristic
45C61×#424C2211yescharacteristic
46C2×#104×C61C2211yescharacteristic
47C2×#104×C61C2211yescharacteristic
48C61×#419C2211yescharacteristic
49C61×#417C2211yescharacteristic
50C61×#416C2211yescharacteristic
51C61×#416C2211yescharacteristic
52C2×#103×C61C2211yescharacteristic
53C2×#103×C61C2211yescharacteristic
54C2×#101×C61C2211yescharacteristic
55C2×#101×C61C2211yescharacteristic
56C61×#408C2211yescharacteristic
57C61×#405C2211yescharacteristic
58C2×#97×C61C2211yescharacteristic
59C61×#391C2211yescharacteristic
60C61×#391C2211yescharacteristic
61C61×#343C2211yescharacteristic
62C61×#343C2211yescharacteristic
63C61×#341C2211yescharacteristic
64C61×#341C2211yescharacteristic
65C61×#339C2211yescharacteristic
66C61×#339C2211yescharacteristic
67C2×#41×C61C2311yescharacteristic
68C2×#41×C61C2311yescharacteristic
69C22×Q8×C61C2311yescharacteristic
70C22×Q8×C61C2311yescharacteristic
71#137×C61—22no—
72#137×C61—22no—
73#137×C61—22no—
74#137×C61—22no—
75#137×C61—41no—
76#137×C61—41no—
77C2×Q16×C61—21no—
78C2×Q16×C61—21no—
79C2×Q16×C61—21no—
80C2×Q16×C61—22no—
81C2×Q16×C61—21no—
82C2×Q16×C61—21no—
83C2×Q16×C61—41no—
84C2×SD16×C61—21no—
85C2×SD16×C61—21no—
86C2×SD16×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
97C4⋊Q8×C61—21no—
98#124×C61—21no—
99#123×C61—41no—
100C22⋊Q8×C61—21no—
101C22⋊Q8×C61—21no—
102C22⋊Q8×C61—21no—
103C22⋊Q8×C61—21no—
104#121×C61—21no—
105#121×C61—21no—
106#121×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×C42×C61C2311yescharacteristic
122#107×C61—21no—
123#107×C61—21no—
124#107×C61—21no—
125#106×C61—21no—
126#106×C61—21no—
127#106×C61—21no—
128#106×C61—21no—
129#106×C61—21no—
130C4⋊C8×C61—21no—
131C4⋊C8×C61—21no—
132#104×C61—22no—
133#104×C61—41no—
134#103×C61—21no—
135#103×C61—21no—
136#103×C61—21no—
137#103×C61—21no—
138#103×C61—21no—
139#103×C61—21no—
140#103×C61—21no—
141#103×C61D411yescharacteristic
142#103×C61D411yescharacteristic
143#103×C61D411yescharacteristic
144#103×C61D411yescharacteristic
145#102×C61—21no—
146#102×C61D411yescharacteristic
147#102×C61D411yescharacteristic
148#102×C61D411yescharacteristic
149#102×C61D411yescharacteristic
150#101×C61—22no—
151#101×C61—22no—
152C22⋊C8×C61—21no—
153C22⋊C8×C61—21no—
154#97×C61—21no—
155#97×C61—41no—
156C4×C8×C61—21no—
157#95×C61—41no—
158#95×C61—41no—
159#41×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—
167C2×Q8×C61—21no—
168C2×Q8×C61—21no—
169C2×Q8×C61—21no—
170C2×Q8×C61—21no—
171C2×Q8×C61—21no—
172C2×Q8×C61—21no—
173C2×Q8×C61—21no—
174C2×Q8×C61—21no—
175C2×Q8×C61—21no—
176C2×Q8×C61—21no—
177C2×Q8×C61—21no—
178C2×Q8×C61C2×D411yescharacteristic
179C2×Q8×C61C2×D411yescharacteristic
180C2×Q8×C61#4112yes—
181C2×D4×C61—21no—
182C2×D4×C61—21no—
183C2×D4×C61—41no—
184C2×D4×C61C2×D411yescharacteristic
185C2×D4×C61C2×D411yescharacteristic
186C22×C4×C61—21no—
187C22×C4×C61—21no—
188C22×C4×C61—21no—
189C22×C4×C61—21no—
190C22×C4×C61—21no—
191C22×C4×C61—21no—
192C22×C4×C61—21no—
193C22×C4×C61—41no—
194C22×C4×C61C2411yescharacteristic
195Q16×C61—24no—
196Q16×C61—42no—
197Q16×C61—42no—
198Q16×C61—42no—
199Q16×C61—42no—
200SD16×C61—24no—
201SD16×C61—42no—
202SD16×C61—42no—
203M16×C61—21no—
204M16×C61—21no—
205M16×C61—21no—
206M16×C61—21no—
207M16×C61—21no—
208M16×C61—21no—
209M16×C61—42no—
210M16×C61#4112yes—
211M16×C61#4112yes—
212C2×C8×C61—21no—
213C2×C8×C61—21no—
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—42no—
221C2×C8×C61C2×D411yescharacteristic
222C2×C8×C61C2×D411yescharacteristic
223C2×C8×C61C2×D411yescharacteristic
224C2×C8×C61C2×D411yescharacteristic
225C4⋊C4×C61—21no—
226C4⋊C4×C61—21no—
227C4⋊C4×C61—21no—
228C4⋊C4×C61—21no—
229C4⋊C4×C61—41no—
230C4⋊C4×C61—41no—
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—
246C42×C61—21no—
247C42×C61—21no—
248C42×C61—21no—
249C42×C61—21no—
250C42×C61—41no—
251C42×C61—41no—
252C42×C61—41no—
253C23×C61—21no—
254C23×C61—21no—
255C23×C61H(5,𝔽2)11yescharacteristic
256Q8×C61—22no—
257Q8×C61—21no—
258Q8×C61—21no—
259Q8×C61—22no—
260Q8×C61—21no—
261Q8×C61—21no—
262Q8×C61—41no—
263Q8×C61—41no—
264Q8×C61—41no—
265Q8×C61—41no—
266Q8×C61—41no—
267Q8×C61—41no—
268D4×C61—21no—
269D4×C61—21no—
270D4×C61—21no—
271D4×C61—21no—
272D4×C61—41no—
273D4×C61—41no—
274D4×C61—41no—
275D4×C61—41no—
276D4×C61—161no—
277C2×C4×C61—21no—
278C2×C4×C61—21no—
279C2×C4×C61—21no—
280C2×C4×C61—21no—
281C2×C4×C61—21no—
282C2×C4×C61—21no—
283C2×C4×C61—22no—
284C2×C4×C61—41no—
285C2×C4×C61—41no—
286C2×C4×C61—41no—
287C2×C4×C61—41no—
288C2×C4×C61—41no—
289C2×C4×C61—41no—
290C2×C4×C61—41no—
291C2×C4×C61—41no—
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—81no—
299C2×C4×C61—81no—
300C2×C4×C61—161no—
301C2×C4×C61C22×D411yescharacteristic
302C2×C4×C61C22×D411yescharacteristic
303C2×C4×C61C2×#4111yescharacteristic
304C2×C4×C61C2×#4111yescharacteristic
305C2×C4×C61C2×#4111yescharacteristic
306C2×C4×C61H(5,𝔽2)11yescharacteristic
307C8×C61—22no—
308C8×C61—21no—
309C8×C61—21no—
310C8×C61—21no—
311C8×C61—21no—
312C8×C61—22no—
313C8×C61—41no—
314C8×C61—41no—
315#26995C6111yesmaximal, characteristic, direct product factor, Sylow
316C22×C61—21no—
317C22×C61—21no—
318C22×C61—41no—
319C22×C61—41no—
320C22×C61—41no—
321C22×C61—41no—
322C22×C61—41no—
323C22×C61—41no—
324C22×C61#54011yescharacteristic
325C22×C61D4211yescharacteristic
326C22×C61#55311yescharacteristic
327C4×C61—41no—
328C4×C61—41no—
329C4×C61—42no—
330C4×C61—41no—
331C4×C61—41no—
332C4×C61—41no—
333C4×C61—41no—
334C4×C61—81no—
335C4×C61—81no—
336C4×C61—81no—
337C4×C61—81no—
338C4×C61#52511yescharacteristic
339C4×C61#53211yescharacteristic
340C4×C61#54611yescharacteristic
341C4×C61#54611yescharacteristic
342#3099C2×C6111yescharacteristic
343#3063C2×C6111yescharacteristic
344#3044C2×C6111yescharacteristic, complemented
345#2947C2×C6111yescharacteristic, complemented
346#2090C2×C6111yescharacteristic, complemented
347#2038C2×C6111yescharacteristic, complemented
348#2020C2×C6111yescharacteristic, complemented
349#2007C2×C6111yescharacteristic
350#1971C2×C6111yescharacteristic, complemented
351#1938C2×C6111yescharacteristic, complemented
352#1930C2×C6111yescharacteristic, complemented
353#1908C2×C6111yescharacteristic, complemented
354#1882C2×C6111yescharacteristic, complemented
355#1857C2×C6111yescharacteristic, complemented
356#1765C2×C6111yescharacteristic, complemented
357C2×C61—21no—
358C2×C61—21no—
359C2×C61—81no—
360C2×C61—81no—
361C2×C61#246411yescharacteristic
362C2×C61#328911yescharacteristic
363C2×C61#328911yescharacteristic
364C2×#137C22×C6111yescharacteristic
365C2×#137C22×C6111yescharacteristic
366C2×#137C22×C6111yescharacteristic
367C22×Q16C22×C6111yescharacteristic
368C2×#131C22×C6111yescharacteristic
369#537C22×C6111yescharacteristic
370#536C22×C6111yescharacteristic
371#520C22×C6111yescharacteristic
372#519C22×C6111yescharacteristic
373#485—21no—
374#483—21no—
375#482—21no—
376#481—21no—
377#470—21no—
378#468—21no—
379#467—21no—
380#465—21no—
381#464—21no—
382#464—21no—
383#462—21no—
384#462—21no—
385#441—21no—
386#440—21no—
387C4×Q16—21no—
388C4×SD16—21no—
389#428C22×C6111yescharacteristic
390#428C22×C6111yescharacteristic
391#428C22×C6111yescharacteristic
392C2×#106C22×C6111yescharacteristic
393#424C22×C6111yescharacteristic
394C2×#104C22×C6111yescharacteristic
395C2×#104C22×C6111yescharacteristic
396#419C22×C6111yescharacteristic
397#417C22×C6111yescharacteristic
398#416C22×C6111yescharacteristic
399#416C22×C6111yescharacteristic
400C2×#103C22×C6111yescharacteristic
401C2×#103C22×C6111yescharacteristic
402C2×#101C22×C6111yescharacteristic
403C2×#101C22×C6111yescharacteristic
404#408C22×C6111yescharacteristic
405#405C22×C6111yescharacteristic
406C2×#97C22×C6111yescharacteristic
407#391C22×C6111yescharacteristic
408#391C22×C6111yescharacteristic
409#343C22×C6111yescharacteristic
410#343C22×C6111yescharacteristic
411#341C22×C6111yescharacteristic
412#341C22×C6111yescharacteristic
413#339C22×C6111yescharacteristic
414#339C22×C6111yescharacteristic
415C61#2699511yescharacteristic, direct product factor, Sylow
416C2×#41C23×C6111yescharacteristic
417C2×#41C23×C6111yescharacteristic
418C22×Q8C23×C6111yescharacteristic
419C22×Q8C23×C6111yescharacteristic
420#137—22no—
421#137—22no—
422#137—22no—
423#137—22no—
424#137—41no—
425#137—41no—
426C2×Q16—21no—
427C2×Q16—21no—
428C2×Q16—21no—
429C2×Q16—22no—
430C2×Q16—21no—
431C2×Q16—21no—
432C2×Q16—41no—
433C2×SD16—21no—
434C2×SD16—21no—
435C2×SD16—21no—
436#131—22no—
437#131—41no—
438C2×M16—21no—
439C2×M16C23×C6111yescharacteristic
440C2×M16C23×C6111yescharacteristic
441C2×M16C23×C6111yescharacteristic
442C2×M16C23×C6111yescharacteristic
443C22×C8—21no—
444C22×C8C23×C6111yescharacteristic
445C22×C8C23×C6111yescharacteristic
446C4⋊Q8—21no—
447#124—21no—
448#123—41no—
449C22⋊Q8—21no—
450C22⋊Q8—21no—
451C22⋊Q8—21no—
452C22⋊Q8—21no—
453#121—21no—
454#121—21no—
455#121—41no—
456C4×Q8—21no—
457C4×Q8—21no—
458C4×Q8—21no—
459C4×Q8—21no—
460C4×Q8—21no—
461C4×D4—21no—
462C4×D4—41no—
463#117—21no—
464#117—41no—
465#117C23×C6111yescharacteristic
466#117C23×C6111yescharacteristic
467C2×C4⋊C4—21no—
468C2×C4⋊C4C23×C6111yescharacteristic
469C2×C4⋊C4C23×C6111yescharacteristic
470C2×C42C23×C6111yescharacteristic
471#107—21no—
472#107—21no—
473#107—21no—
474#106—21no—
475#106—21no—
476#106—21no—
477#106—21no—
478#106—21no—
479C4⋊C8—21no—
480C4⋊C8—21no—
481#104—22no—
482#104—41no—
483#103—21no—
484#103—21no—
485#103—21no—
486#103—21no—
487#103—21no—
488#103—21no—
489#103—21no—
490#103D4×C6111yescharacteristic
491#103D4×C6111yescharacteristic
492#103D4×C6111yescharacteristic
493#103D4×C6111yescharacteristic
494#102—21no—
495#102D4×C6111yescharacteristic
496#102D4×C6111yescharacteristic
497#102D4×C6111yescharacteristic
498#102D4×C6111yescharacteristic
499#101—22no—
500#101—22no—
501C22⋊C8—21no—
502C22⋊C8—21no—
503#97—21no—
504#97—41no—
505C4×C8—21no—
506#95—41no—
507#95—41no—
508#41—21no—
509#41—21no—
510#41—21no—
511#41—21no—
512#41—21no—
513#41—21no—
514#41—21no—
515#41—21no—
516C2×Q8—21no—
517C2×Q8—21no—
518C2×Q8—21no—
519C2×Q8—21no—
520C2×Q8—21no—
521C2×Q8—21no—
522C2×Q8—21no—
523C2×Q8—21no—
524C2×Q8—21no—
525C2×Q8—21no—
526C2×Q8—21no—
527C2×Q8C2×D4×C6111yescharacteristic
528C2×Q8C2×D4×C6111yescharacteristic
529C2×Q8#41×C6112yes—
530C2×D4—21no—
531C2×D4—21no—
532C2×D4—41no—
533C2×D4C2×D4×C6111yescharacteristic
534C2×D4C2×D4×C6111yescharacteristic
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—21no—
538C22×C4—21no—
539C22×C4—21no—
540C22×C4—21no—
541C22×C4—21no—
542C22×C4—41no—
543C22×C4C24×C6111yescharacteristic
544Q16—24no—
545Q16—42no—
546Q16—42no—
547Q16—42no—
548Q16—42no—
549SD16—24no—
550SD16—42no—
551SD16—42no—
552M16—21no—
553M16—21no—
554M16—21no—
555M16—21no—
556M16—21no—
557M16—21no—
558M16—42no—
559M16#41×C6112yes—
560M16#41×C6112yes—
561C2×C8—21no—
562C2×C8—21no—
563C2×C8—21no—
564C2×C8—21no—
565C2×C8—21no—
566C2×C8—21no—
567C2×C8—21no—
568C2×C8—21no—
569C2×C8—42no—
570C2×C8C2×D4×C6111yescharacteristic
571C2×C8C2×D4×C6111yescharacteristic
572C2×C8C2×D4×C6111yescharacteristic
573C2×C8C2×D4×C6111yescharacteristic
574C4⋊C4—21no—
575C4⋊C4—21no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—41no—
579C4⋊C4—41no—
580C4⋊C4—41no—
581C4⋊C4—41no—
582C4⋊C4—41no—
583C4⋊C4—41no—
584C4⋊C4C2×D4×C6111yescharacteristic
585C4⋊C4C2×D4×C6111yescharacteristic
586C4⋊C4C2×D4×C6111yescharacteristic
587C4⋊C4C2×D4×C6111yescharacteristic
588C22⋊C4—21no—
589C22⋊C4—21no—
590C22⋊C4—41no—
591C22⋊C4—41no—
592C22⋊C4—41no—
593C22⋊C4—41no—
594C22⋊C4—41no—
595C42—21no—
596C42—21no—
597C42—21no—
598C42—21no—
599C42—41no—
600C42—41no—
601C42—41no—
602C23—21no—
603C23—21no—
604C23H(5,𝔽2)×C6111yescharacteristic
605Q8—21no—
606Q8—22no—
607Q8—21no—
608Q8—21no—
609Q8—22no—
610Q8—21no—
611Q8—41no—
612Q8—41no—
613Q8—41no—
614Q8—41no—
615Q8—41no—
616Q8—41no—
617D4—21no—
618D4—21no—
619D4—21no—
620D4—21no—
621D4—41no—
622D4—41no—
623D4—41no—
624D4—41no—
625D4—161no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—22no—
633C2×C4—41no—
634C2×C4—41no—
635C2×C4—41no—
636C2×C4—41no—
637C2×C4—41no—
638C2×C4—41no—
639C2×C4—41no—
640C2×C4—41no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—81no—
648C2×C4—81no—
649C2×C4—161no—
650C2×C4C22×D4×C6111yescharacteristic
651C2×C4C22×D4×C6111yescharacteristic
652C2×C4C2×#41×C6111yescharacteristic
653C2×C4C2×#41×C6111yescharacteristic
654C2×C4C2×#41×C6111yescharacteristic
655C2×C4H(5,𝔽2)×C6111yescharacteristic
656C8—21no—
657C8—21no—
658C8—21no—
659C8—21no—
660C8—22no—
661C8—22no—
662C8—41no—
663C8—41no—
664C22—21no—
665C22—21no—
666C22—41no—
667C22—41no—
668C22—41no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22C61×#54011yescharacteristic
673C22D42×C6111yescharacteristic
674C22C61×#55311yescharacteristic
675C4—41no—
676C4—41no—
677C4—41no—
678C4—41no—
679C4—41no—
680C4—41no—
681C4—42no—
682C4—81no—
683C4—81no—
684C4—81no—
685C4—81no—
686C4C61×#52511yescharacteristic
687C4C61×#53211yescharacteristic
688C4C61×#54611yescharacteristic
689C4C61×#54611yescharacteristic
690C2—21no—
691C2—21no—
692C2—81no—
693C2—81no—
694C2C61×#246411yescharacteristic
695C2C61×#328911yescharacteristic
696C2C61×#328911yescharacteristic
subgroupG/H
center, socleC22×C61D42
commutator, Frattini, cosocleC22×C4C24×C61
prime radicalC61×#537C22
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
3. C61×#3044C2semidirect
4. C61×#2947C2semidirect
5. C61×#2090C2semidirect
6. C61×#2038C2semidirect
7. C61×#2020C2semidirect
9. C61×#1971C2semidirect
10. C61×#1938C2semidirect
11. C61×#1930C2semidirect
12. C61×#1908C2semidirect
13. C61×#1882C2semidirect
14. C61×#1857C2semidirect
15. C61×#1765C2semidirect
315. #26995C61direct (N × H)
344. #3044C2×C61semidirect
345. #2947C2×C61semidirect
346. #2090C2×C61semidirect
347. #2038C2×C61semidirect
348. #2020C2×C61semidirect
350. #1971C2×C61semidirect
351. #1938C2×C61semidirect
352. #1930C2×C61semidirect
353. #1908C2×C61semidirect
354. #1882C2×C61semidirect
355. #1857C2×C61semidirect
356. #1765C2×C61semidirect
415. C61#26995direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#30992
C61×#30632
C61×#30442
C61×#29472
C61×#20902
C61×#20382
C61×#20202
C61×#20072
C61×#19712
C61×#19382
C61×#19302
C61×#19082
C61×#18822
C61×#18572
C61×#17652
#2699561