Finite Group Databasebeta

← C61×#26363 #29529796

Subgroups — C61×#26363 #29529796

Order 15616.

860 conjugacy classes of subgroups.

The subgroup lattice has 664 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C61×#478C211yesmaximal, characteristic, complemented
2C2×C61×#428C211yesmaximal, characteristic, complemented
3C61×#2442C211yesmaximal, characteristic, complemented
4C61×#2363C211yesmaximal, characteristic
5C61×#2092C211yesmaximal, characteristic, complemented
6C61×#2088C211yesmaximal, characteristic, complemented
7C61×#2065C211yesmaximal, characteristic, complemented
8C61×#2059C211yesmaximal, characteristic, complemented
9C61×#1949C211yesmaximal, characteristic, complemented
10C61×#1918C211yesmaximal, characteristic, complemented
11C61×#1895C211yesmaximal, characteristic
12C61×#1874C211yesmaximal, characteristic
13C61×#1862C211yesmaximal, characteristic, complemented
14C61×#1854C211yesmaximal, characteristic, complemented
15C61×#1851C211yesmaximal, characteristic, complemented
16C22×M16×C61C2211yescharacteristic
17C2×#125×C61C2211yescharacteristic
18C2×#121×C61C2211yescharacteristic
19C2×C4×D4×C61C2211yescharacteristic
20C2×#117×C61C2211yescharacteristic
21C22×C4⋊C4×C61C2211yescharacteristic
22C61×#478—24no—
23C61×#428—24no—
24C2×#107×C61C2211yescharacteristic
25C2×#107×C61C2211yescharacteristic
26C2×#107×C61C2211yescharacteristic
27C2×#106×C61C2211yescharacteristic
28C2×#106×C61C2211yescharacteristic
29C2×#106×C61C2211yescharacteristic
30C2×C4⋊C8×C61C2211yescharacteristic
31C2×C4⋊C8×C61C2211yescharacteristic
32C2×#102×C61C2211yescharacteristic
33C2×#102×C61C2211yescharacteristic
34C2×#102×C61C2211yescharacteristic
35C2×#102×C61C2211yescharacteristic
36C2×C22⋊C8×C61C2211yescharacteristic
37C61×#400—21no—
38C61×#398—21no—
39C61×#390—21no—
40C61×#390C2211yescharacteristic
41C61×#389C2211yescharacteristic
42C61×#389C2211yescharacteristic
43C61×#389C2211yescharacteristic
44C61×#388—21no—
45C61×#386—21no—
46C61×#385—21no—
47C61×#382C2211yescharacteristic
48C61×#380—21no—
49C61×#380C2211yescharacteristic
50C4×C4⋊C4×C61C2211yescharacteristic
51C4×C22⋊C4×C61—21no—
52C4×C22⋊C4×C61C2211yescharacteristic
53C61×#340C2211yescharacteristic
54C61×#340C2211yescharacteristic
55C61×#340C2211yescharacteristic
56C61×#340C2211yescharacteristic
57C61×#340C2211yescharacteristic
58C61×#340C2211yescharacteristic
59C61×#336C2211yescharacteristic
60C61×#336C2211yescharacteristic
61C22×D4×C61—21no—
62C22×D4×C61C2311yescharacteristic
63C23×C4×C61—21no—
64C23×C4×C61—21no—
65C23×C4×C61C2311yescharacteristic
66C2×M16×C61—22no—
67C2×M16×C61—22no—
68C2×M16×C61—22no—
69C22×C8×C61C2311yescharacteristic
70C22×C8×C61C2311yescharacteristic
71C22×C8×C61C2311yescharacteristic
72C22×C8×C61C2311yescharacteristic
73#125×C61—22no—
74#125×C61—41no—
75#121×C61—22no—
76#121×C61Q814yes—
77C4×D4×C61—22no—
78C4×D4×C61—41no—
79#117×C61—22no—
80#117×C61—41no—
81C2×C4⋊C4×C61—22no—
82C2×C4⋊C4×C61—21no—
83C2×C4⋊C4×C61—21no—
84C2×C4⋊C4×C61—21no—
85C2×C4⋊C4×C61—21no—
86C2×C4⋊C4×C61—21no—
87C2×C4⋊C4×C61—21no—
88C2×C4⋊C4×C61—41no—
89C2×C4⋊C4×C61C2311yescharacteristic
90C2×C4⋊C4×C61C2311yescharacteristic
91C2×C4⋊C4×C61C2311yescharacteristic
92C2×C4⋊C4×C61C2311yescharacteristic
93C2×C4⋊C4×C61C2311yescharacteristic
94C2×C4⋊C4×C61C2311yescharacteristic
95C2×C4⋊C4×C61C2311yescharacteristic
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×C22⋊C4×C61D411yescharacteristic
103C2×C22⋊C4×C61D411yescharacteristic
104C2×C42×C61—21no—
105C2×C42×C61—21no—
106C2×C42×C61C2311yescharacteristic
107C2×C42×C61C2311yescharacteristic
108#107×C61—22no—
109#107×C61—41no—
110#107×C61D414yescomplemented
111#106×C61—22no—
112#106×C61—22no—
113#106×C61—22no—
114C4⋊C8×C61—22no—
115C4⋊C8×C61—22no—
116#102×C61—22no—
117#102×C61—22no—
118#102×C61—22no—
119#102×C61—41no—
120C22⋊C8×C61—22no—
121#95×C61—21no—
122#95×C61—21no—
123#95×C61—21no—
124#95×C61—21no—
125#95×C61—21no—
126#95×C61—21no—
127#95×C61—21no—
128#95×C61D411yescharacteristic
129#95×C61D411yescharacteristic
130C24×C61—21no—
131C24×C61C2×D411yescharacteristic
132C2×D4×C61—24no—
133C2×D4×C61—21no—
134C2×D4×C61—21no—
135C2×D4×C61—21no—
136C2×D4×C61—21no—
137C2×D4×C61—21no—
138C2×D4×C61—81no—
139C2×D4×C61—81no—
140C2×D4×C61C2×Q812yes—
141C22×C4×C61—21no—
142C22×C4×C61—21no—
143C22×C4×C61—21no—
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61—21no—
150C22×C4×C61—21no—
151C22×C4×C61—21no—
152C22×C4×C61—42no—
153C22×C4×C61—42no—
154C22×C4×C61—42no—
155C22×C4×C61—42no—
156C22×C4×C61—81no—
157C22×C4×C61—81no—
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2×D411yescharacteristic
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2×Q812yes—
164C22×C4×C61#4112yes—
165C22×C4×C61C2411yescharacteristic
166M16×C61—28no—
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—21no—
177C2×C8×C61C2×D412yes—
178C2×C8×C61#4112yes—
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—21no—
189C4⋊C4×C61—21no—
190C4⋊C4×C61—42no—
191C4⋊C4×C61—42no—
192C4⋊C4×C61—42no—
193C4⋊C4×C61—81no—
194C4⋊C4×C61—81no—
195C4⋊C4×C61—81no—
196C4⋊C4×C61C2×D412yes—
197C4⋊C4×C61C2×D412yes—
198C4⋊C4×C61C2×Q812yes—
199C22⋊C4×C61—24no—
200C22⋊C4×C61—41no—
201C22⋊C4×C61—41no—
202C22⋊C4×C61—42no—
203C22⋊C4×C61—42no—
204C22⋊C4×C61—42no—
205C22⋊C4×C61—42no—
206C22⋊C4×C61—81no—
207C42×C61—21no—
208C42×C61—21no—
209C42×C61—21no—
210C42×C61—21no—
211C42×C61—42no—
212C42×C61—81no—
213C23×C61—21no—
214C23×C61—21no—
215C23×C61—21no—
216C23×C61—21no—
217C23×C61—21no—
218C23×C61—21no—
219C23×C61—22no—
220C23×C61—41no—
221C23×C61—41no—
222C23×C61—41no—
223C23×C61—41no—
224C23×C61—41no—
225C23×C61—41no—
226C23×C61C22⋊Q812yes—
227C23×C61C22×D411yescharacteristic
228D4×C61—22no—
229D4×C61—22no—
230D4×C61—41no—
231D4×C61—41no—
232D4×C61—84no—
233C2×C4×C61—21no—
234C2×C4×C61—21no—
235C2×C4×C61—22no—
236C2×C4×C61—22no—
237C2×C4×C61—22no—
238C2×C4×C61—22no—
239C2×C4×C61—22no—
240C2×C4×C61—21no—
241C2×C4×C61—21no—
242C2×C4×C61—22no—
243C2×C4×C61—22no—
244C2×C4×C61—21no—
245C2×C4×C61—21no—
246C2×C4×C61—21no—
247C2×C4×C61—21no—
248C2×C4×C61—21no—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—41no—
255C2×C4×C61—41no—
256C2×C4×C61—41no—
257C2×C4×C61—41no—
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—84no—
273C2×C4×C61—84no—
274C2×C4×C61C22⋊Q812yes—
275C2×C4×C61C22×D411yescharacteristic
276C2×C4×C61C22×Q811yescharacteristic
277C2×C4×C61C2×#4111yescharacteristic
278C2×C4×C61C2×#4111yescharacteristic
279C2×C4×C61H(5,𝔽2)11yescharacteristic
280C2×C4×C612−1+411yescharacteristic
281C8×C61—22no—
282C8×C61—22no—
283C8×C61—41no—
284C8×C61—41no—
285#26363C6111yesmaximal, characteristic, direct product factor, Sylow
286C22×C61—22no—
287C22×C61—22no—
288C22×C61—22no—
289C22×C61—41no—
290C22×C61—41no—
291C22×C61—41no—
292C22×C61—41no—
293C22×C61—42no—
294C22×C61—42no—
295C22×C61—42no—
296C22×C61—81no—
297C22×C61—81no—
298C22×C61—81no—
299C22×C61—81no—
300C22×C61C2×C22⋊Q811yescharacteristic
301C22×C61D4211yescharacteristic
302C22×C61#54711yescharacteristic
303C22×C61#57511yescharacteristic
304C22×C61#57511yescharacteristic
305C22×C61#57611yescharacteristic
306C22×C61#57711yescharacteristic
307C4×C61—22no—
308C4×C61—42no—
309C4×C61—41no—
310C4×C61—41no—
311C4×C61—41no—
312C4×C61—41no—
313C4×C61—42no—
314C4×C61—42no—
315C4×C61—81no—
316C4×C61—81no—
317C4×C61—81no—
318C4×C61—81no—
319C4×C61#52511yescharacteristic
320C4×C61#53911yescharacteristic
321C4×C61D4×Q811yescharacteristic
322C4×C61#55411yescharacteristic
323C2×#478C2×C6111yescharacteristic, complemented
324C2×#428C2×C6111yescharacteristic, complemented
325#2442C2×C6111yescharacteristic, complemented
326#2363C2×C6111yescharacteristic
327#2092C2×C6111yescharacteristic, complemented
328#2088C2×C6111yescharacteristic, complemented
329#2065C2×C6111yescharacteristic, complemented
330#2059C2×C6111yescharacteristic, complemented
331#1949C2×C6111yescharacteristic, complemented
332#1918C2×C6111yescharacteristic, complemented
333#1895C2×C6111yescharacteristic
334#1874C2×C6111yescharacteristic
335#1862C2×C6111yescharacteristic, complemented
336#1854C2×C6111yescharacteristic, complemented
337#1851C2×C6111yescharacteristic, complemented
338C2×C61—42no—
339C2×C61—82no—
340C2×C61#244911yescharacteristic
341C2×C61#308011yescharacteristic
342C2×C61#308111yescharacteristic
343C2×C61#327111yescharacteristic
344C2×C61#327311yescharacteristic
345C2×C61#334811yescharacteristic
346C2×C61#335511yescharacteristic
347C22×M16C22×C6111yescharacteristic
348C2×#125C22×C6111yescharacteristic
349C2×#121C22×C6111yescharacteristic
350C2×C4×D4C22×C6111yescharacteristic
351C2×#117C22×C6111yescharacteristic
352C22×C4⋊C4C22×C6111yescharacteristic
353#478—24no—
354#428—24no—
355C2×#107C22×C6111yescharacteristic
356C2×#107C22×C6111yescharacteristic
357C2×#107C22×C6111yescharacteristic
358C2×#106C22×C6111yescharacteristic
359C2×#106C22×C6111yescharacteristic
360C2×#106C22×C6111yescharacteristic
361C2×C4⋊C8C22×C6111yescharacteristic
362C2×C4⋊C8C22×C6111yescharacteristic
363C2×#102C22×C6111yescharacteristic
364C2×#102C22×C6111yescharacteristic
365C2×#102C22×C6111yescharacteristic
366C2×#102C22×C6111yescharacteristic
367C2×C22⋊C8C22×C6111yescharacteristic
368#400—21no—
369#398—21no—
370#390—21no—
371#390C22×C6111yescharacteristic
372#389C22×C6111yescharacteristic
373#389C22×C6111yescharacteristic
374#389C22×C6111yescharacteristic
375#388—21no—
376#386—21no—
377#385—21no—
378#382C22×C6111yescharacteristic
379#380—21no—
380#380C22×C6111yescharacteristic
381C4×C4⋊C4C22×C6111yescharacteristic
382C4×C22⋊C4—21no—
383C4×C22⋊C4C22×C6111yescharacteristic
384#340C22×C6111yescharacteristic
385#340C22×C6111yescharacteristic
386#340C22×C6111yescharacteristic
387#340C22×C6111yescharacteristic
388#340C22×C6111yescharacteristic
389#340C22×C6111yescharacteristic
390#336C22×C6111yescharacteristic
391#336C22×C6111yescharacteristic
392C61#2636311yescharacteristic, direct product factor, Sylow
393C22×D4—21no—
394C22×D4C23×C6111yescharacteristic
395C23×C4—21no—
396C23×C4—21no—
397C23×C4C23×C6111yescharacteristic
398C2×M16—22no—
399C2×M16—22no—
400C2×M16—22no—
401C22×C8C23×C6111yescharacteristic
402C22×C8C23×C6111yescharacteristic
403C22×C8C23×C6111yescharacteristic
404C22×C8C23×C6111yescharacteristic
405#125—22no—
406#125—41no—
407#121—22no—
408#121Q8×C6114yes—
409C4×D4—22no—
410C4×D4—41no—
411#117—22no—
412#117—41no—
413C2×C4⋊C4—22no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—21no—
416C2×C4⋊C4—21no—
417C2×C4⋊C4—21no—
418C2×C4⋊C4—21no—
419C2×C4⋊C4—21no—
420C2×C4⋊C4—41no—
421C2×C4⋊C4C23×C6111yescharacteristic
422C2×C4⋊C4C23×C6111yescharacteristic
423C2×C4⋊C4C23×C6111yescharacteristic
424C2×C4⋊C4C23×C6111yescharacteristic
425C2×C4⋊C4C23×C6111yescharacteristic
426C2×C4⋊C4C23×C6111yescharacteristic
427C2×C4⋊C4C23×C6111yescharacteristic
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⋊C4D4×C6111yescharacteristic
435C2×C22⋊C4D4×C6111yescharacteristic
436C2×C42—21no—
437C2×C42—21no—
438C2×C42C23×C6111yescharacteristic
439C2×C42C23×C6111yescharacteristic
440#107—22no—
441#107—41no—
442#107D4×C6114yescomplemented
443#106—22no—
444#106—22no—
445#106—22no—
446C4⋊C8—22no—
447C4⋊C8—22no—
448#102—22no—
449#102—22no—
450#102—22no—
451#102—41no—
452C22⋊C8—22no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—21no—
460#95D4×C6111yescharacteristic
461#95D4×C6111yescharacteristic
462C24—21no—
463C24C2×D4×C6111yescharacteristic
464C2×D4—24no—
465C2×D4—21no—
466C2×D4—21no—
467C2×D4—21no—
468C2×D4—21no—
469C2×D4—21no—
470C2×D4—81no—
471C2×D4—81no—
472C2×D4C2×Q8×C6112yes—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—21no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—81no—
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×Q8×C6112yes—
496C22×C4#41×C6112yes—
497C22×C4C24×C6111yescharacteristic
498M16—28no—
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×C8C2×D4×C6112yes—
510C2×C8#41×C6112yes—
511C4⋊C4—21no—
512C4⋊C4—21no—
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—81no—
527C4⋊C4—81no—
528C4⋊C4C2×D4×C6112yes—
529C4⋊C4C2×D4×C6112yes—
530C4⋊C4C2×Q8×C6112yes—
531C22⋊C4—24no—
532C22⋊C4—41no—
533C22⋊C4—41no—
534C22⋊C4—42no—
535C22⋊C4—42no—
536C22⋊C4—42no—
537C22⋊C4—42no—
538C22⋊C4—81no—
539C42—21no—
540C42—21no—
541C42—21no—
542C42—21no—
543C42—42no—
544C42—81no—
545C23—21no—
546C23—21no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—22no—
552C23—41no—
553C23—41no—
554C23—41no—
555C23—41no—
556C23—41no—
557C23—41no—
558C23C22⋊Q8×C6112yes—
559C23C22×D4×C6111yescharacteristic
560D4—22no—
561D4—22no—
562D4—41no—
563D4—41no—
564D4—84no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—22no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—22no—
571C2×C4—21no—
572C2×C4—21no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—21no—
580C2×C4—21no—
581C2×C4—21no—
582C2×C4—21no—
583C2×C4—21no—
584C2×C4—21no—
585C2×C4—22no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
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—84no—
605C2×C4—84no—
606C2×C4C22⋊Q8×C6112yes—
607C2×C4C22×D4×C6111yescharacteristic
608C2×C4C22×Q8×C6111yescharacteristic
609C2×C4C2×#41×C6111yescharacteristic
610C2×C4C2×#41×C6111yescharacteristic
611C2×C4H(5,𝔽2)×C6111yescharacteristic
612C2×C42−1+4×C6111yescharacteristic
613C8—22no—
614C8—22no—
615C8—41no—
616C8—41no—
617C22—22no—
618C22—22no—
619C22—22no—
620C22—41no—
621C22—41no—
622C22—41no—
623C22—41no—
624C22—42no—
625C22—42no—
626C22—42no—
627C22—81no—
628C22—81no—
629C22—81no—
630C22—81no—
631C22C2×C22⋊Q8×C6111yescharacteristic
632C22D42×C6111yescharacteristic
633C22C61×#54711yescharacteristic
634C22C61×#57511yescharacteristic
635C22C61×#57511yescharacteristic
636C22C61×#57611yescharacteristic
637C22C61×#57711yescharacteristic
638C4—22no—
639C4—42no—
640C4—41no—
641C4—41no—
642C4—41no—
643C4—41no—
644C4—42no—
645C4—42no—
646C4—81no—
647C4—81no—
648C4—81no—
649C4—81no—
650C4C61×#52511yescharacteristic
651C4C61×#53911yescharacteristic
652C4D4×Q8×C6111yescharacteristic
653C4C61×#55411yescharacteristic
654C2—42no—
655C2—82no—
656C2C61×#244911yescharacteristic
657C2C61×#308011yescharacteristic
658C2C61×#308111yescharacteristic
659C2C61×#327111yescharacteristic
660C2C61×#327311yescharacteristic
661C2C61×#334811yescharacteristic
662C2C61×#335511yescharacteristic
subgroupG/H
center, socleC23×C61C22×D4
commutator, Frattini, cosocleC22×C4C24×C61
prime radicalC2×#121×C61C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C61 ◁ C4×C22⋊C4×C61 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C61×#478C2semidirect
2. C2×C61×#428C2semidirect
3. C61×#2442C2semidirect
5. C61×#2092C2semidirect
6. C61×#2088C2semidirect
7. C61×#2065C2semidirect
8. C61×#2059C2semidirect
9. C61×#1949C2semidirect
10. C61×#1918C2semidirect
13. C61×#1862C2semidirect
14. C61×#1854C2semidirect
15. C61×#1851C2semidirect
110. #107×C61D4semidirect
285. #26363C61direct (N × H)
323. C2×#478C2×C61semidirect
324. C2×#428C2×C61semidirect
325. #2442C2×C61semidirect
327. #2092C2×C61semidirect
328. #2088C2×C61semidirect
329. #2065C2×C61semidirect
330. #2059C2×C61semidirect
331. #1949C2×C61semidirect
332. #1918C2×C61semidirect
335. #1862C2×C61semidirect
336. #1854C2×C61semidirect
337. #1851C2×C61semidirect
392. C61#26363direct (N × H)
442. #107D4×C61semidirect

Maximal subgroups

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

subgroupindex
C2×C61×#4782
C2×C61×#4282
C61×#24422
C61×#23632
C61×#20922
C61×#20882
C61×#20652
C61×#20592
C61×#19492
C61×#19182
C61×#18952
C61×#18742
C61×#18622
C61×#18542
C61×#18512
#2636361