Finite Group Databasebeta

← C61×#27071 #29530504

Subgroups — C61×#27071 #29530504

Order 15616.

802 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#2512C211yesmaximal, characteristic, complemented
2C61×#2367C211yesmaximal, characteristic, complemented
3C61×#2094C211yesmaximal, characteristic, complemented
4C61×#2054C211yesmaximal, characteristic
5C61×#2042C211yesmaximal, characteristic, complemented
6C61×#2012C211yesmaximal, characteristic
7C61×#1968C211yesmaximal, characteristic, complemented
8C61×#1927C211yesmaximal, characteristic, complemented
9C61×#1926C211yesmaximal, characteristic, complemented
10C61×#1920C211yesmaximal, characteristic, complemented
11C61×#1916C211yesmaximal, characteristic, complemented
12C61×#1880C211yesmaximal, characteristic, complemented
13C61×#1879C211yesmaximal, characteristic
14C61×#1803C211yesmaximal, characteristic, complemented
15C4×#102×C61C211yesmaximal, characteristic, complemented
16C22×SD16×C61C2211yescharacteristic
17C22×D8×C61C2211yescharacteristic
18C2×#126×C61—21no—
19C2×#124×C61C2211yescharacteristic
20C2×C4×Q8×C61C2211yescharacteristic
21C2×C4×D4×C61C2211yescharacteristic
22C2×#106×C61C2211yescharacteristic
23C2×#106×C61C2211yescharacteristic
24C2×C4⋊C8×C61C2211yescharacteristic
25C2×#103×C61C2211yescharacteristic
26C2×#103×C61C2211yescharacteristic
27C2×#103×C61C2211yescharacteristic
28C2×#102×C61C2211yescharacteristic
29C2×#102×C61C2211yescharacteristic
30C2×#102×C61C2211yescharacteristic
31C2×#102×C61C2211yescharacteristic
32C2×#102×C61C2211yescharacteristic
33C2×C4×C8×C61C2211yescharacteristic
34C61×#397—21no—
35C61×#396—21no—
36C61×#391C2211yescharacteristic
37C61×#390C2211yescharacteristic
38C61×#390C2211yescharacteristic
39C61×#390C2211yescharacteristic
40C61×#390C2211yescharacteristic
41C61×#389C2211yescharacteristic
42C61×#388—21no—
43C61×#388—21no—
44C61×#388—21no—
45C61×#385—21no—
46C61×#384C2211yescharacteristic
47C4×C4⋊C4×C61C2211yescharacteristic
48C4×C4⋊C4×C61C2211yescharacteristic
49C4×C4⋊C4×C61C2211yescharacteristic
50C4×C22⋊C4×C61—21no—
51C61×#340C2211yescharacteristic
52C61×#340C2211yescharacteristic
53C61×#340C2211yescharacteristic
54C61×#340C2211yescharacteristic
55C61×#336C2211yescharacteristic
56C61×#336C2211yescharacteristic
57C61×#336C2211yescharacteristic
58C61×#336C2211yescharacteristic
59C22×Q8×C61C2311yescharacteristic
60C22×D4×C61C2311yescharacteristic
61C22×D4×C61C2311yescharacteristic
62C23×C4×C61—21no—
63C2×SD16×C61—22no—
64C2×SD16×C61—22no—
65C2×SD16×C61—41no—
66C2×D8×C61—22no—
67C2×D8×C61—41no—
68C2×D8×C61—41no—
69C22×C8×C61C2311yescharacteristic
70C22×C8×C61C2311yescharacteristic
71C22×C8×C61C2311yescharacteristic
72C22×C8×C61C2311yescharacteristic
73#126×C61—44no—
74#124×C61—22no—
75#124×C61—22no—
76C4×Q8×C61—22no—
77C4×Q8×C61—41no—
78C4×D4×C61—22no—
79C4×D4×C61—41no—
80C2×C4⋊C4×C61—21no—
81C2×C4⋊C4×C61—21no—
82C2×C4⋊C4×C61—21no—
83C2×C4⋊C4×C61—21no—
84C2×C4⋊C4×C61D411yescharacteristic
85C2×C4⋊C4×C61D411yescharacteristic
86C2×C4⋊C4×C61C2311yescharacteristic
87C2×C4⋊C4×C61C2311yescharacteristic
88C2×C4⋊C4×C61C2311yescharacteristic
89C2×C4⋊C4×C61C2311yescharacteristic
90C2×C4⋊C4×C61C2311yescharacteristic
91C2×C22⋊C4×C61—21no—
92C2×C22⋊C4×C61—21no—
93C2×C22⋊C4×C61—21no—
94C2×C22⋊C4×C61—21no—
95C2×C22⋊C4×C61—21no—
96C2×C22⋊C4×C61—21no—
97C2×C22⋊C4×C61—21no—
98C2×C22⋊C4×C61—21no—
99C2×C22⋊C4×C61—21no—
100C2×C22⋊C4×C61—21no—
101C2×C22⋊C4×C61—21no—
102C2×C42×C61—21no—
103C2×C42×C61—21no—
104C2×C42×C61—21no—
105C2×C42×C61C2311yescharacteristic
106C2×C42×C61C2311yescharacteristic
107C2×C42×C61C2311yescharacteristic
108#106×C61—22no—
109#106×C61—41no—
110C4⋊C8×C61—41no—
111#103×C61—22no—
112#103×C61—41no—
113#103×C61—41no—
114#102×C61—22no—
115#102×C61—22no—
116#102×C61—22no—
117#102×C61—41no—
118#102×C61—41no—
119C4×C8×C61—41no—
120#95×C61—21no—
121#95×C61—21no—
122#95×C61—21no—
123#95×C61—21no—
124#95×C61—21no—
125#95×C61D411yescharacteristic
126#95×C61D411yescharacteristic
127C24×C61—21no—
128C24×C61—21no—
129C2×Q8×C61—21no—
130C2×Q8×C61—21no—
131C2×Q8×C61—21no—
132C2×Q8×C61—21no—
133C2×Q8×C61—21no—
134C2×Q8×C61#4112yes—
135C2×D4×C61—21no—
136C2×D4×C61—21no—
137C2×D4×C61—21no—
138C2×D4×C61—21no—
139C2×D4×C61—21no—
140C2×D4×C61—21no—
141C2×D4×C61—21no—
142C2×D4×C61—21no—
143C2×D4×C61—21no—
144C2×D4×C61—21no—
145C2×D4×C61—21no—
146C2×D4×C61#4112yes—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61—21no—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—42no—
154C22×C4×C61—42no—
155C22×C4×C61—81no—
156C22×C4×C61C2×D411yescharacteristic
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2×D411yescharacteristic
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2411yescharacteristic
163SD16×C61—44no—
164D8×C61—44no—
165C2×C8×C61—21no—
166C2×C8×C61—21no—
167C2×C8×C61—21no—
168C2×C8×C61—21no—
169C2×C8×C61—21no—
170C2×C8×C61—21no—
171C2×C8×C61—21no—
172C2×C8×C61—21no—
173C2×C8×C61—21no—
174C2×C8×C61—21no—
175C2×C8×C61—21no—
176C2×C8×C61#4112yes—
177C4⋊C4×C61—22no—
178C4⋊C4×C61—22no—
179C4⋊C4×C61—21no—
180C4⋊C4×C61—21no—
181C4⋊C4×C61—21no—
182C4⋊C4×C61—21no—
183C4⋊C4×C61—21no—
184C4⋊C4×C61—21no—
185C4⋊C4×C61—21no—
186C4⋊C4×C61—21no—
187C4⋊C4×C61—21no—
188C4⋊C4×C61—42no—
189C4⋊C4×C61—42no—
190C4⋊C4×C61—42no—
191C4⋊C4×C61—81no—
192C4⋊C4×C61#4112yes—
193C22⋊C4×C61—24no—
194C22⋊C4×C61—24no—
195C22⋊C4×C61—42no—
196C22⋊C4×C61—42no—
197C22⋊C4×C61—42no—
198C22⋊C4×C61—42no—
199C22⋊C4×C61—42no—
200C22⋊C4×C61—42no—
201C22⋊C4×C61—81no—
202C22⋊C4×C61—81no—
203C22⋊C4×C61—81no—
204C42×C61—21no—
205C42×C61—21no—
206C42×C61—21no—
207C42×C61—21no—
208C42×C61—21no—
209C42×C61—21no—
210C42×C61—42no—
211C42×C61—42no—
212C42×C61—81no—
213C23×C61—22no—
214C23×C61—41no—
215C23×C61—41no—
216C23×C61—41no—
217C23×C61—41no—
218C23×C61—41no—
219C23×C61—41no—
220C23×C61—41no—
221C23×C61—41no—
222C23×C61—41no—
223C23×C61—41no—
224C23×C61—41no—
225C23×C61—41no—
226C23×C61—41no—
227C23×C61C22×D411yescharacteristic
228Q8×C61—22no—
229Q8×C61—22no—
230Q8×C61—41no—
231Q8×C61—41no—
232D4×C61—22no—
233D4×C61—22no—
234D4×C61—41no—
235D4×C61—41no—
236D4×C61—41no—
237D4×C61—41no—
238D4×C61—41no—
239D4×C61—41no—
240C2×C4×C61—21no—
241C2×C4×C61—21no—
242C2×C4×C61—21no—
243C2×C4×C61—21no—
244C2×C4×C61—21no—
245C2×C4×C61—21no—
246C2×C4×C61—22no—
247C2×C4×C61—21no—
248C2×C4×C61—21no—
249C2×C4×C61—22no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—41no—
259C2×C4×C61—41no—
260C2×C4×C61—41no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—41no—
270C2×C4×C61—41no—
271C2×C4×C61—41no—
272C2×C4×C61—41no—
273C2×C4×C61—41no—
274C2×C4×C61—84no—
275C2×C4×C61#13512yes—
276C2×C4×C61AGL(1,ℤ/8)12yes—
277C2×C4×C61C2×#4111yescharacteristic
278C2×C4×C61C2×#4111yescharacteristic
279C2×C4×C61C2×#4111yescharacteristic
280C2×C4×C61C2×#4111yescharacteristic
281C2×C4×C61H(5,𝔽2)11yescharacteristic
282C2×C4×C61H(5,𝔽2)11yescharacteristic
283C8×C61—22no—
284C8×C61—41no—
285C8×C61—41no—
286C8×C61—41no—
287#27071C6111yesmaximal, characteristic, direct product factor, Sylow
288C22×C61—42no—
289C22×C61—42no—
290C22×C61—42no—
291C22×C61—81no—
292C22×C61—81no—
293C22×C61—81no—
294C22×C61—81no—
295C22×C61—81no—
296C22×C61—81no—
297C22×C61—81no—
298C22×C61—81no—
299C22×C61—81no—
300C22×C61—81no—
301C22×C61—81no—
302C22×C61#52511yescharacteristic
303C22×C61#54611yescharacteristic
304C22×C61#55011yescharacteristic
305C22×C61C2×#13511yescharacteristic
306C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
307C22×C61#57711yescharacteristic
308C22×C61#57711yescharacteristic
309C4×C61—22no—
310C4×C61—22no—
311C4×C61—41no—
312C4×C61—41no—
313C4×C61—42no—
314C4×C61—41no—
315C4×C61—41no—
316C4×C61—42no—
317C4×C61—81no—
318C4×C61—81no—
319C4×C61—81no—
320C4×C61—81no—
321C4×C61#52911yescharacteristic
322C4×C61#53811yescharacteristic
323C4×C61#55111yescharacteristic
324C4×C61#55311yescharacteristic
325#2512C2×C6111yescharacteristic, complemented
326#2367C2×C6111yescharacteristic, complemented
327#2094C2×C6111yescharacteristic, complemented
328#2054C2×C6111yescharacteristic
329#2042C2×C6111yescharacteristic, complemented
330#2012C2×C6111yescharacteristic
331#1968C2×C6111yescharacteristic, complemented
332#1927C2×C6111yescharacteristic, complemented
333#1926C2×C6111yescharacteristic, complemented
334#1920C2×C6111yescharacteristic, complemented
335#1916C2×C6111yescharacteristic, complemented
336#1880C2×C6111yescharacteristic, complemented
337#1879C2×C6111yescharacteristic
338#1803C2×C6111yescharacteristic, complemented
339C4×#102C2×C6111yescharacteristic, complemented
340C2×C61—82no—
341C2×C61—161no—
342C2×C61#246711yescharacteristic
343C2×C61#310611yescharacteristic
344C2×C61#312511yescharacteristic
345C2×C61#330111yescharacteristic
346C2×C61#330611yescharacteristic
347C2×C61#339411yescharacteristic
348C2×C61#339711yescharacteristic
349C22×SD16C22×C6111yescharacteristic
350C22×D8C22×C6111yescharacteristic
351C2×#126—21no—
352C2×#124C22×C6111yescharacteristic
353C2×C4×Q8C22×C6111yescharacteristic
354C2×C4×D4C22×C6111yescharacteristic
355C2×#106C22×C6111yescharacteristic
356C2×#106C22×C6111yescharacteristic
357C2×C4⋊C8C22×C6111yescharacteristic
358C2×#103C22×C6111yescharacteristic
359C2×#103C22×C6111yescharacteristic
360C2×#103C22×C6111yescharacteristic
361C2×#102C22×C6111yescharacteristic
362C2×#102C22×C6111yescharacteristic
363C2×#102C22×C6111yescharacteristic
364C2×#102C22×C6111yescharacteristic
365C2×#102C22×C6111yescharacteristic
366C2×C4×C8C22×C6111yescharacteristic
367#397—21no—
368#396—21no—
369#391C22×C6111yescharacteristic
370#390C22×C6111yescharacteristic
371#390C22×C6111yescharacteristic
372#390C22×C6111yescharacteristic
373#390C22×C6111yescharacteristic
374#389C22×C6111yescharacteristic
375#388—21no—
376#388—21no—
377#388—21no—
378#385—21no—
379#384C22×C6111yescharacteristic
380C4×C4⋊C4C22×C6111yescharacteristic
381C4×C4⋊C4C22×C6111yescharacteristic
382C4×C4⋊C4C22×C6111yescharacteristic
383C4×C22⋊C4—21no—
384#340C22×C6111yescharacteristic
385#340C22×C6111yescharacteristic
386#340C22×C6111yescharacteristic
387#340C22×C6111yescharacteristic
388#336C22×C6111yescharacteristic
389#336C22×C6111yescharacteristic
390#336C22×C6111yescharacteristic
391#336C22×C6111yescharacteristic
392C61#2707111yescharacteristic, direct product factor, Sylow
393C22×Q8C23×C6111yescharacteristic
394C22×D4C23×C6111yescharacteristic
395C22×D4C23×C6111yescharacteristic
396C23×C4—21no—
397C2×SD16—22no—
398C2×SD16—22no—
399C2×SD16—41no—
400C2×D8—22no—
401C2×D8—41no—
402C2×D8—41no—
403C22×C8C23×C6111yescharacteristic
404C22×C8C23×C6111yescharacteristic
405C22×C8C23×C6111yescharacteristic
406C22×C8C23×C6111yescharacteristic
407#126—44no—
408#124—22no—
409#124—22no—
410C4×Q8—22no—
411C4×Q8—41no—
412C4×D4—22no—
413C4×D4—41no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4D4×C6111yescharacteristic
419C2×C4⋊C4D4×C6111yescharacteristic
420C2×C4⋊C4C23×C6111yescharacteristic
421C2×C4⋊C4C23×C6111yescharacteristic
422C2×C4⋊C4C23×C6111yescharacteristic
423C2×C4⋊C4C23×C6111yescharacteristic
424C2×C4⋊C4C23×C6111yescharacteristic
425C2×C22⋊C4—21no—
426C2×C22⋊C4—21no—
427C2×C22⋊C4—21no—
428C2×C22⋊C4—21no—
429C2×C22⋊C4—21no—
430C2×C22⋊C4—21no—
431C2×C22⋊C4—21no—
432C2×C22⋊C4—21no—
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C42—21no—
437C2×C42—21no—
438C2×C42—21no—
439C2×C42C23×C6111yescharacteristic
440C2×C42C23×C6111yescharacteristic
441C2×C42C23×C6111yescharacteristic
442#106—22no—
443#106—41no—
444C4⋊C8—41no—
445#103—22no—
446#103—41no—
447#103—41no—
448#102—22no—
449#102—22no—
450#102—22no—
451#102—41no—
452#102—41no—
453C4×C8—41no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95D4×C6111yescharacteristic
460#95D4×C6111yescharacteristic
461C24—21no—
462C24—21no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8#41×C6112yes—
469C2×D4—21no—
470C2×D4—21no—
471C2×D4—21no—
472C2×D4—21no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—21no—
479C2×D4—21no—
480C2×D4#41×C6112yes—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—81no—
490C22×C4C2×D4×C6111yescharacteristic
491C22×C4C2×D4×C6111yescharacteristic
492C22×C4C2×D4×C6111yescharacteristic
493C22×C4C2×D4×C6111yescharacteristic
494C22×C4C2×D4×C6111yescharacteristic
495C22×C4C2×D4×C6111yescharacteristic
496C22×C4C24×C6111yescharacteristic
497SD16—44no—
498D8—44no—
499C2×C8—21no—
500C2×C8—21no—
501C2×C8—21no—
502C2×C8—21no—
503C2×C8—21no—
504C2×C8—21no—
505C2×C8—21no—
506C2×C8—21no—
507C2×C8—21no—
508C2×C8—21no—
509C2×C8—21no—
510C2×C8#41×C6112yes—
511C4⋊C4—22no—
512C4⋊C4—22no—
513C4⋊C4—21no—
514C4⋊C4—21no—
515C4⋊C4—21no—
516C4⋊C4—21no—
517C4⋊C4—21no—
518C4⋊C4—21no—
519C4⋊C4—21no—
520C4⋊C4—21no—
521C4⋊C4—21no—
522C4⋊C4—42no—
523C4⋊C4—42no—
524C4⋊C4—42no—
525C4⋊C4—81no—
526C4⋊C4#41×C6112yes—
527C22⋊C4—24no—
528C22⋊C4—24no—
529C22⋊C4—42no—
530C22⋊C4—42no—
531C22⋊C4—42no—
532C22⋊C4—42no—
533C22⋊C4—42no—
534C22⋊C4—42no—
535C22⋊C4—81no—
536C22⋊C4—81no—
537C22⋊C4—81no—
538C42—21no—
539C42—21no—
540C42—21no—
541C42—21no—
542C42—21no—
543C42—21no—
544C42—42no—
545C42—42no—
546C42—81no—
547C23—22no—
548C23—41no—
549C23—41no—
550C23—41no—
551C23—41no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23—41no—
559C23—41no—
560C23—41no—
561C23C22×D4×C6111yescharacteristic
562Q8—22no—
563Q8—22no—
564Q8—41no—
565Q8—41no—
566D4—22no—
567D4—22no—
568D4—41no—
569D4—41no—
570D4—41no—
571D4—41no—
572D4—41no—
573D4—41no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—22no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—21no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—22no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—41no—
597C2×C4—41no—
598C2×C4—41no—
599C2×C4—41no—
600C2×C4—41no—
601C2×C4—41no—
602C2×C4—41no—
603C2×C4—41no—
604C2×C4—41no—
605C2×C4—41no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—84no—
609C2×C4#135×C6112yes—
610C2×C4AGL(1,ℤ/8)×C6112yes—
611C2×C4C2×#41×C6111yescharacteristic
612C2×C4C2×#41×C6111yescharacteristic
613C2×C4C2×#41×C6111yescharacteristic
614C2×C4C2×#41×C6111yescharacteristic
615C2×C4H(5,𝔽2)×C6111yescharacteristic
616C2×C4H(5,𝔽2)×C6111yescharacteristic
617C8—22no—
618C8—41no—
619C8—41no—
620C8—41no—
621C22—42no—
622C22—42no—
623C22—42no—
624C22—81no—
625C22—81no—
626C22—81no—
627C22—81no—
628C22—81no—
629C22—81no—
630C22—81no—
631C22—81no—
632C22—81no—
633C22—81no—
634C22—81no—
635C22C61×#52511yescharacteristic
636C22C61×#54611yescharacteristic
637C22C61×#55011yescharacteristic
638C22C2×#135×C6111yescharacteristic
639C22C2×AGL(1,ℤ/8)×C6111yescharacteristic
640C22C61×#57711yescharacteristic
641C22C61×#57711yescharacteristic
642C4—22no—
643C4—22no—
644C4—41no—
645C4—41no—
646C4—42no—
647C4—41no—
648C4—41no—
649C4—42no—
650C4—81no—
651C4—81no—
652C4—81no—
653C4—81no—
654C4C61×#52911yescharacteristic
655C4C61×#53811yescharacteristic
656C4C61×#55111yescharacteristic
657C4C61×#55311yescharacteristic
658C2—82no—
659C2—161no—
660C2C61×#246711yescharacteristic
661C2C61×#310611yescharacteristic
662C2C61×#312511yescharacteristic
663C2C61×#330111yescharacteristic
664C2C61×#330611yescharacteristic
665C2C61×#339411yescharacteristic
666C2C61×#339711yescharacteristic
subgroupG/H
center, socleC23×C61C22×D4
commutator, Frattini, cosocleC22×C4C24×C61
prime radicalC22×D8×C61C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C61 ◁ C4×C4⋊C4×C61 ◁ G

Complements

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

NH ≅ G/Ntype
1. C61×#2512C2semidirect
2. C61×#2367C2semidirect
3. C61×#2094C2semidirect
5. C61×#2042C2semidirect
7. C61×#1968C2semidirect
8. C61×#1927C2semidirect
9. C61×#1926C2semidirect
10. C61×#1920C2semidirect
11. C61×#1916C2semidirect
12. C61×#1880C2semidirect
14. C61×#1803C2semidirect
15. C4×#102×C61C2semidirect
287. #27071C61direct (N × H)
325. #2512C2×C61semidirect
326. #2367C2×C61semidirect
327. #2094C2×C61semidirect
329. #2042C2×C61semidirect
331. #1968C2×C61semidirect
332. #1927C2×C61semidirect
333. #1926C2×C61semidirect
334. #1920C2×C61semidirect
335. #1916C2×C61semidirect
336. #1880C2×C61semidirect
338. #1803C2×C61semidirect
339. C4×#102C2×C61semidirect
392. C61#27071direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#25122
C61×#23672
C61×#20942
C61×#20542
C61×#20422
C61×#20122
C61×#19682
C61×#19272
C61×#19262
C61×#19202
C61×#19162
C61×#18802
C61×#18792
C61×#18032
C4×#102×C612
#2707161