Finite Group Databasebeta

← C61×#26270 #29529703

Subgroups — C61×#26270 #29529703

Order 15616.

776 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×#3154C211yesmaximal, characteristic
2C61×#3097C211yesmaximal, characteristic, complemented
3C61×#3096C211yesmaximal, characteristic, complemented
4C61×#2952C211yesmaximal, characteristic, complemented
5C61×#2052C211yesmaximal, characteristic, complemented
6C61×#2051C211yesmaximal, characteristic, complemented
7C61×#2038C211yesmaximal, characteristic, complemented
8C61×#2037C211yesmaximal, characteristic, complemented
9C61×#1977C211yesmaximal, characteristic, complemented
10C61×#1974C211yesmaximal, characteristic, complemented
11C61×#1968C211yesmaximal, characteristic, complemented
12C61×#1951C211yesmaximal, characteristic, complemented
13C61×#1883C211yesmaximal, characteristic, complemented
14C61×#1882C211yesmaximal, characteristic, complemented
15C61×#1772C211yesmaximal, characteristic, complemented
16C2×#137×C61C2211yescharacteristic
17C2×AGL(1,ℤ/8)×C61C2211yescharacteristic
18C2×#135×C61C2211yescharacteristic
19C22×SD16×C61C2211yescharacteristic
20C61×#536C2211yescharacteristic
21C61×#535C2211yescharacteristic
22C61×#520C2211yescharacteristic
23C61×#520C2211yescharacteristic
24C61×#497—21no—
25C61×#496—21no—
26C61×#495—21no—
27C61×#492—21no—
28C61×#485—21no—
29C61×#485—21no—
30C61×#484—21no—
31C61×#483—21no—
32C61×#482—21no—
33C61×#482—21no—
34C61×#481—21no—
35C61×#480—21no—
36C61×#442—21no—
37C61×#441—21no—
38C4×SD16×C61—21no—
39C4×SD16×C61—21no—
40C2×#108×C61C2211yescharacteristic
41C2×#108×C61C2211yescharacteristic
42C61×#428C2211yescharacteristic
43C61×#428C2211yescharacteristic
44C61×#427C2211yescharacteristic
45C2×#106×C61C2211yescharacteristic
46C2×#104×C61C2211yescharacteristic
47C2×#104×C61C2211yescharacteristic
48C61×#419C2211yescharacteristic
49C61×#418C2211yescharacteristic
50C61×#417C2211yescharacteristic
51C61×#417C2211yescharacteristic
52C2×#103×C61C2211yescharacteristic
53C2×#102×C61C2211yescharacteristic
54C2×#101×C61C2211yescharacteristic
55C2×#100×C61C2211yescharacteristic
56C61×#408C2211yescharacteristic
57C61×#408C2211yescharacteristic
58C61×#405C2211yescharacteristic
59C61×#405C2211yescharacteristic
60C2×C4×C8×C61C2211yescharacteristic
61C61×#391C2211yescharacteristic
62C61×#390C2211yescharacteristic
63C61×#343C2211yescharacteristic
64C61×#343C2211yescharacteristic
65C61×#339C2211yescharacteristic
66C61×#339C2211yescharacteristic
67C2×#41×C61C2311yescharacteristic
68C2×#41×C61C2311yescharacteristic
69C22×Q8×C61C2311yescharacteristic
70C22×D4×C61C2311yescharacteristic
71#137×C61—22no—
72#137×C61—41no—
73AGL(1,ℤ/8)×C61—22no—
74AGL(1,ℤ/8)×C61—41no—
75#135×C61—22no—
76#135×C61—22no—
77C2×Q16×C61—21no—
78C2×Q16×C61D411yescharacteristic
79C2×SD16×C61—21no—
80C2×SD16×C61—21no—
81C2×SD16×C61—21no—
82C2×SD16×C61—21no—
83C2×SD16×C61—22no—
84C2×SD16×C61—22no—
85C2×SD16×C61D411yescharacteristic
86C2×SD16×C61D411yescharacteristic
87C2×D8×C61—21no—
88C2×D8×C61D411yescharacteristic
89C2×M16×C61C2311yescharacteristic
90C2×M16×C61C2311yescharacteristic
91C2×M16×C61C2311yescharacteristic
92C2×M16×C61C2311yescharacteristic
93C22×C8×C61C2311yescharacteristic
94C22×C8×C61C2311yescharacteristic
95C4⋊Q8×C61—21no—
96#127×C61—21no—
97#124×C61—21no—
98#124×C61—21no—
99#123×C61—41no—
100C22⋊Q8×C61—21no—
101C22⋊Q8×C61—21no—
102#121×C61—21no—
103#121×C61—21no—
104#120×C61—41no—
105C4×Q8×C61—21no—
106C4×Q8×C61—21no—
107C4×D4×C61—21no—
108C4×D4×C61—21no—
109C4×D4×C61—41no—
110C4×D4×C61—41no—
111#117×C61—21no—
112#117×C61—21no—
113#117×C61C2311yescharacteristic
114#117×C61C2311yescharacteristic
115C2×C4⋊C4×C61—21no—
116C2×C4⋊C4×C61—21no—
117C2×C4⋊C4×C61C2311yescharacteristic
118C2×C4⋊C4×C61C2311yescharacteristic
119C2×C22⋊C4×C61—41no—
120C2×C42×C61C2311yescharacteristic
121#108×C61—22no—
122#108×C61—22no—
123#107×C61—21no—
124#107×C61—21no—
125#107×C61D411yescharacteristic
126#107×C61D411yescharacteristic
127#106×C61—21no—
128#106×C61—21no—
129#106×C61—21no—
130#106×C61—21no—
131#106×C61D411yescharacteristic
132#106×C61D411yescharacteristic
133#104×C61—41no—
134#104×C61—41no—
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#102×C61—21no—
142#102×C61—21no—
143#102×C61—21no—
144#102×C61—21no—
145#102×C61—21no—
146#102×C61—21no—
147#101×C61—41no—
148#100×C61—41no—
149C22⋊C8×C61—21no—
150C22⋊C8×C61—21no—
151C22⋊C8×C61—21no—
152C22⋊C8×C61—21no—
153#97×C61—21no—
154#97×C61—21no—
155C4×C8×C61—21no—
156C4×C8×C61—21no—
157C4×C8×C61—22no—
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×C61—21no—
174C2×Q8×C61C2×D411yescharacteristic
175C2×Q8×C61C2×D411yescharacteristic
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×C61C2×D411yescharacteristic
187C2×D4×C61C2×D411yescharacteristic
188C22×C4×C61—21no—
189C22×C4×C61—21no—
190C22×C4×C61—21no—
191C22×C4×C61—21no—
192C22×C4×C61—21no—
193C22×C4×C61—21no—
194C22×C4×C61—41no—
195C22×C4×C61—41no—
196C22×C4×C61C2411yescharacteristic
197Q16×C61—22no—
198Q16×C61—42no—
199SD16×C61—22no—
200SD16×C61—22no—
201SD16×C61—42no—
202SD16×C61—42no—
203SD16×C61—42no—
204SD16×C61—42no—
205D8×C61—22no—
206D8×C61—42no—
207M16×C61—21no—
208M16×C61—21no—
209M16×C61—21no—
210M16×C61—21no—
211M16×C61—21no—
212M16×C61—21no—
213M16×C61—21no—
214M16×C61#4112yes—
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×C61C2×D411yescharacteristic
222C2×C8×C61C2×D411yescharacteristic
223C2×C8×C61C2×D411yescharacteristic
224C2×C8×C61C2×D411yescharacteristic
225C2×C8×C61#4112yes—
226C2×C8×C61#4112yes—
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—41no—
247C22⋊C4×C61—82no—
248C42×C61—21no—
249C42×C61—21no—
250C42×C61—21no—
251C42×C61—21no—
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—21no—
263Q8×C61—21no—
264Q8×C61—21no—
265Q8×C61—21no—
266Q8×C61—41no—
267Q8×C61—41no—
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—
284C2×C4×C61—22no—
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—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—41no—
299C2×C4×C61—41no—
300C2×C4×C61—41no—
301C2×C4×C61—41no—
302C2×C4×C61—81no—
303C2×C4×C61—81no—
304C2×C4×C61—161no—
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—21no—
313C8×C61—21no—
314C8×C61—22no—
315C8×C61—41no—
316C8×C61—41no—
317C8×C61—41no—
318C8×C61#12312yes—
319C8×C61#12312yes—
320#26270C6111yesmaximal, 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#55911yescharacteristic
337C4×C61—42no—
338C4×C61—41no—
339C4×C61—41no—
340C4×C61—41no—
341C4×C61—41no—
342C4×C61—41no—
343C4×C61—41no—
344C4×C61—81no—
345C4×C61—81no—
346C4×C61—81no—
347C4×C61C2×#12311yescharacteristic
348C4×C61#53211yescharacteristic
349C4×C61#54611yescharacteristic
350C4×C61#55011yescharacteristic
351#3154C2×C6111yescharacteristic
352#3097C2×C6111yescharacteristic, complemented
353#3096C2×C6111yescharacteristic, complemented
354#2952C2×C6111yescharacteristic, complemented
355#2052C2×C6111yescharacteristic, complemented
356#2051C2×C6111yescharacteristic, complemented
357#2038C2×C6111yescharacteristic, complemented
358#2037C2×C6111yescharacteristic, complemented
359#1977C2×C6111yescharacteristic, complemented
360#1974C2×C6111yescharacteristic, complemented
361#1968C2×C6111yescharacteristic, complemented
362#1951C2×C6111yescharacteristic, complemented
363#1883C2×C6111yescharacteristic, complemented
364#1882C2×C6111yescharacteristic, complemented
365#1772C2×C6111yescharacteristic, complemented
366C2×C61—21no—
367C2×C61—21no—
368C2×C61—81no—
369C2×C61—81no—
370C2×C61—161no—
371C2×C61#244511yescharacteristic
372C2×C61#329011yescharacteristic
373C2×C61#329111yescharacteristic
374C2×#137C22×C6111yescharacteristic
375C2×AGL(1,ℤ/8)C22×C6111yescharacteristic
376C2×#135C22×C6111yescharacteristic
377C22×SD16C22×C6111yescharacteristic
378#536C22×C6111yescharacteristic
379#535C22×C6111yescharacteristic
380#520C22×C6111yescharacteristic
381#520C22×C6111yescharacteristic
382#497—21no—
383#496—21no—
384#495—21no—
385#492—21no—
386#485—21no—
387#485—21no—
388#484—21no—
389#483—21no—
390#482—21no—
391#482—21no—
392#481—21no—
393#480—21no—
394#442—21no—
395#441—21no—
396C4×SD16—21no—
397C4×SD16—21no—
398C2×#108C22×C6111yescharacteristic
399C2×#108C22×C6111yescharacteristic
400#428C22×C6111yescharacteristic
401#428C22×C6111yescharacteristic
402#427C22×C6111yescharacteristic
403C2×#106C22×C6111yescharacteristic
404C2×#104C22×C6111yescharacteristic
405C2×#104C22×C6111yescharacteristic
406#419C22×C6111yescharacteristic
407#418C22×C6111yescharacteristic
408#417C22×C6111yescharacteristic
409#417C22×C6111yescharacteristic
410C2×#103C22×C6111yescharacteristic
411C2×#102C22×C6111yescharacteristic
412C2×#101C22×C6111yescharacteristic
413C2×#100C22×C6111yescharacteristic
414#408C22×C6111yescharacteristic
415#408C22×C6111yescharacteristic
416#405C22×C6111yescharacteristic
417#405C22×C6111yescharacteristic
418C2×C4×C8C22×C6111yescharacteristic
419#391C22×C6111yescharacteristic
420#390C22×C6111yescharacteristic
421#343C22×C6111yescharacteristic
422#343C22×C6111yescharacteristic
423#339C22×C6111yescharacteristic
424#339C22×C6111yescharacteristic
425C61#2627011yescharacteristic, direct product factor, Sylow
426C2×#41C23×C6111yescharacteristic
427C2×#41C23×C6111yescharacteristic
428C22×Q8C23×C6111yescharacteristic
429C22×D4C23×C6111yescharacteristic
430#137—22no—
431#137—41no—
432AGL(1,ℤ/8)—22no—
433AGL(1,ℤ/8)—41no—
434#135—22no—
435#135—22no—
436C2×Q16—21no—
437C2×Q16D4×C6111yescharacteristic
438C2×SD16—21no—
439C2×SD16—21no—
440C2×SD16—21no—
441C2×SD16—21no—
442C2×SD16—22no—
443C2×SD16—22no—
444C2×SD16D4×C6111yescharacteristic
445C2×SD16D4×C6111yescharacteristic
446C2×D8—21no—
447C2×D8D4×C6111yescharacteristic
448C2×M16C23×C6111yescharacteristic
449C2×M16C23×C6111yescharacteristic
450C2×M16C23×C6111yescharacteristic
451C2×M16C23×C6111yescharacteristic
452C22×C8C23×C6111yescharacteristic
453C22×C8C23×C6111yescharacteristic
454C4⋊Q8—21no—
455#127—21no—
456#124—21no—
457#124—21no—
458#123—41no—
459C22⋊Q8—21no—
460C22⋊Q8—21no—
461#121—21no—
462#121—21no—
463#120—41no—
464C4×Q8—21no—
465C4×Q8—21no—
466C4×D4—21no—
467C4×D4—21no—
468C4×D4—41no—
469C4×D4—41no—
470#117—21no—
471#117—21no—
472#117C23×C6111yescharacteristic
473#117C23×C6111yescharacteristic
474C2×C4⋊C4—21no—
475C2×C4⋊C4—21no—
476C2×C4⋊C4C23×C6111yescharacteristic
477C2×C4⋊C4C23×C6111yescharacteristic
478C2×C22⋊C4—41no—
479C2×C42C23×C6111yescharacteristic
480#108—22no—
481#108—22no—
482#107—21no—
483#107—21no—
484#107D4×C6111yescharacteristic
485#107D4×C6111yescharacteristic
486#106—21no—
487#106—21no—
488#106—21no—
489#106—21no—
490#106D4×C6111yescharacteristic
491#106D4×C6111yescharacteristic
492#104—41no—
493#104—41no—
494#103—21no—
495#103—21no—
496#103—21no—
497#103—21no—
498#103—21no—
499#103—21no—
500#102—21no—
501#102—21no—
502#102—21no—
503#102—21no—
504#102—21no—
505#102—21no—
506#101—41no—
507#100—41no—
508C22⋊C8—21no—
509C22⋊C8—21no—
510C22⋊C8—21no—
511C22⋊C8—21no—
512#97—21no—
513#97—21no—
514C4×C8—21no—
515C4×C8—21no—
516C4×C8—22no—
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×Q8—21no—
533C2×Q8C2×D4×C6111yescharacteristic
534C2×Q8C2×D4×C6111yescharacteristic
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×D4C2×D4×C6111yescharacteristic
546C2×D4C2×D4×C6111yescharacteristic
547C22×C4—21no—
548C22×C4—21no—
549C22×C4—21no—
550C22×C4—21no—
551C22×C4—21no—
552C22×C4—21no—
553C22×C4—41no—
554C22×C4—41no—
555C22×C4C24×C6111yescharacteristic
556Q16—22no—
557Q16—42no—
558SD16—22no—
559SD16—22no—
560SD16—42no—
561SD16—42no—
562SD16—42no—
563SD16—42no—
564D8—22no—
565D8—42no—
566M16—21no—
567M16—21no—
568M16—21no—
569M16—21no—
570M16—21no—
571M16—21no—
572M16—21no—
573M16#41×C6112yes—
574C2×C8—21no—
575C2×C8—21no—
576C2×C8—21no—
577C2×C8—21no—
578C2×C8—21no—
579C2×C8—21no—
580C2×C8C2×D4×C6111yescharacteristic
581C2×C8C2×D4×C6111yescharacteristic
582C2×C8C2×D4×C6111yescharacteristic
583C2×C8C2×D4×C6111yescharacteristic
584C2×C8#41×C6112yes—
585C2×C8#41×C6112yes—
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—41no—
606C22⋊C4—82no—
607C42—21no—
608C42—21no—
609C42—21no—
610C42—21no—
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—21no—
623Q8—21no—
624Q8—21no—
625Q8—41no—
626Q8—41no—
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—
643C2×C4—22no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—41no—
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—81no—
662C2×C4—81no—
663C2×C4—161no—
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—22no—
674C8—41no—
675C8—41no—
676C8—41no—
677C8#123×C6112yes—
678C8#123×C6112yes—
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×#55911yescharacteristic
695C4—42no—
696C4—41no—
697C4—41no—
698C4—41no—
699C4—41no—
700C4—41no—
701C4—41no—
702C4—81no—
703C4—81no—
704C4—81no—
705C4C2×#123×C6111yescharacteristic
706C4C61×#53211yescharacteristic
707C4C61×#54611yescharacteristic
708C4C61×#55011yescharacteristic
709C2—21no—
710C2—21no—
711C2—81no—
712C2—81no—
713C2—161no—
714C2C61×#244511yescharacteristic
715C2C61×#329011yescharacteristic
716C2C61×#329111yescharacteristic
subgroupG/H
center, socleC22×C61D42
commutator, Frattini, cosocleC22×C4C24×C61
prime radicalC61×#3154C2
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
2. C61×#3097C2semidirect
3. C61×#3096C2semidirect
4. C61×#2952C2semidirect
5. C61×#2052C2semidirect
6. C61×#2051C2semidirect
7. C61×#2038C2semidirect
8. C61×#2037C2semidirect
9. C61×#1977C2semidirect
10. C61×#1974C2semidirect
11. C61×#1968C2semidirect
12. C61×#1951C2semidirect
13. C61×#1883C2semidirect
14. C61×#1882C2semidirect
15. C61×#1772C2semidirect
320. #26270C61direct (N × H)
352. #3097C2×C61semidirect
353. #3096C2×C61semidirect
354. #2952C2×C61semidirect
355. #2052C2×C61semidirect
356. #2051C2×C61semidirect
357. #2038C2×C61semidirect
358. #2037C2×C61semidirect
359. #1977C2×C61semidirect
360. #1974C2×C61semidirect
361. #1968C2×C61semidirect
362. #1951C2×C61semidirect
363. #1883C2×C61semidirect
364. #1882C2×C61semidirect
365. #1772C2×C61semidirect
425. C61#26270direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#31542
C61×#30972
C61×#30962
C61×#29522
C61×#20522
C61×#20512
C61×#20382
C61×#20372
C61×#19772
C61×#19742
C61×#19682
C61×#19512
C61×#18832
C61×#18822
C61×#17722
#2627061