Finite Group Databasebeta

← C61×#14030 #29517463

Subgroups — C61×#14030 #29517463

Order 15616.

1326 conjugacy classes of subgroups.

The subgroup lattice has 662 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C61×#389C211yesmaximal, characteristic
2C2×C61×#382C211yesmaximal, characteristic
3C2×C4×C4⋊C4×C61C211yesmaximal, characteristic
4C61×#1443C212yesmaximal
5C61×#1442C212yesmaximal
6C61×#1436C212yesmaximal
7C61×C4⋊#95C211yesmaximal, characteristic
8C61×C4⋊#95C211yesmaximal, characteristic
9C61×C4⋊#95C211yesmaximal, characteristic
10C61×#1434C212yesmaximal
11C4×#95×C61C211yesmaximal, characteristic
12C22×C4⋊C4×C61C2211yescharacteristic
13C22×C4⋊C4×C61C2212yes—
14C22×C4⋊C4×C61C2211yescharacteristic
15C22×C4⋊C4×C61C2211yescharacteristic
16C22×C4⋊C4×C61C2211yescharacteristic
17C22×C42×C61C2211yescharacteristic
18C22×C42×C61C2212yes—
19C22×C42×C61C2211yescharacteristic
20C22×C42×C61C2211yescharacteristic
21C61×#389—24no—
22C61×#382C418yescomplemented
23C4×C4⋊C4×C61—24no—
24C2×#95×C61C2212yes—
25C2×#95×C61C2212yes—
26C2×#95×C61C2211yescharacteristic
27C2×#95×C61C2211yescharacteristic
28C2×#95×C61C2211yescharacteristic
29C2×#95×C61C2211yescharacteristic
30C2×#95×C61C2212yes—
31C2×#95×C61C2212yes—
32C2×#95×C61C2212yes—
33C2×#95×C61C2212yes—
34C2×#95×C61C2212yes—
35C2×#95×C61C2212yes—
36C2×#95×C61C2212yes—
37C2×#95×C61C2212yes—
38C23×C4×C61C2312yes—
39C23×C4×C61C2311yescharacteristic
40C23×C4×C61C2311yescharacteristic
41C23×C4×C61C2312yes—
42C23×C4×C61C2312yes—
43C23×C4×C61C2312yes—
44C23×C4×C61C2311yescharacteristic
45C23×C4×C61C2311yescharacteristic
46C23×C4×C61C2311yescharacteristic
47C23×C4×C61C2311yescharacteristic
48C23×C4×C61C2311yescharacteristic
49C2×C4⋊C4×C61—22no—
50C2×C4⋊C4×C61—22no—
51C2×C4⋊C4×C61—22no—
52C2×C4⋊C4×C61—22no—
53C2×C4⋊C4×C61—22no—
54C2×C4⋊C4×C61—22no—
55C2×C4⋊C4×C61—24no—
56C2×C4⋊C4×C61—24no—
57C2×C4⋊C4×C61—22no—
58C2×C4⋊C4×C61—22no—
59C2×C4⋊C4×C61—22no—
60C2×C4⋊C4×C61—42no—
61C2×C4⋊C4×C61C2×C414yes—
62C2×C4⋊C4×C61C2×C414yes—
63C2×C4⋊C4×C61D414yes—
64C2×C42×C61—22no—
65C2×C42×C61—22no—
66C2×C42×C61—22no—
67C2×C42×C61—22no—
68C2×C42×C61—24no—
69C2×C42×C61—22no—
70C2×C42×C61—24no—
71C2×C42×C61—22no—
72C2×C42×C61—22no—
73C2×C42×C61—42no—
74C2×C42×C61C2×C414yes—
75C2×C42×C61Q814yes—
76#95×C61—24no—
77#95×C61—24no—
78#95×C61—22no—
79#95×C61—22no—
80#95×C61—22no—
81#95×C61—22no—
82#95×C61—24no—
83#95×C61—24no—
84#95×C61—42no—
85#95×C61—42no—
86#95×C61—42no—
87#95×C61—42no—
88#95×C61C2×C418yes—
89#95×C61C2×C418yes—
90C24×C61C2411yescharacteristic
91C22×C4×C61—21no—
92C22×C4×C61—21no—
93C22×C4×C61—21no—
94C22×C4×C61—21no—
95C22×C4×C61—21no—
96C22×C4×C61—21no—
97C22×C4×C61—22no—
98C22×C4×C61—22no—
99C22×C4×C61—21no—
100C22×C4×C61—22no—
101C22×C4×C61—22no—
102C22×C4×C61—21no—
103C22×C4×C61—21no—
104C22×C4×C61—21no—
105C22×C4×C61—21no—
106C22×C4×C61—21no—
107C22×C4×C61—21no—
108C22×C4×C61—21no—
109C22×C4×C61—21no—
110C22×C4×C61—21no—
111C22×C4×C61—21no—
112C22×C4×C61—21no—
113C22×C4×C61—21no—
114C22×C4×C61—22no—
115C22×C4×C61—21no—
116C22×C4×C61—21no—
117C22×C4×C61—21no—
118C22×C4×C61—22no—
119C22×C4×C61—21no—
120C22×C4×C61—21no—
121C22×C4×C61—22no—
122C22×C4×C61—22no—
123C22×C4×C61—22no—
124C22×C4×C61—22no—
125C22×C4×C61—22no—
126C22×C4×C61—22no—
127C22×C4×C61—21no—
128C22×C4×C61—21no—
129C22×C4×C61—21no—
130C22×C4×C61—21no—
131C22×C4×C61—22no—
132C22×C4×C61—22no—
133C22×C4×C61—22no—
134C22×C4×C61—22no—
135C22×C4×C61—21no—
136C22×C4×C61—22no—
137C22×C4×C61—22no—
138C22×C4×C61—21no—
139C22×C4×C61—21no—
140C22×C4×C61—21no—
141C22×C4×C61—21no—
142C22×C4×C61—21no—
143C22×C4×C61—22no—
144C22×C4×C61—22no—
145C22×C4×C61—22no—
146C22×C4×C61—22no—
147C22×C4×C61—22no—
148C22×C4×C61—22no—
149C22×C4×C61—22no—
150C22×C4×C61C22×C412yes—
151C22×C4×C61C22×C412yes—
152C22×C4×C61C22×C414yes—
153C22×C4×C61C22×C414yes—
154C22×C4×C61C22×C412yes—
155C22×C4×C61C2×D414yes—
156C22×C4×C61C2×D412yes—
157C22×C4×C61C2×Q812yes—
158C22×C4×C61C2×Q812yes—
159C22×C4×C61C2×Q812yes—
160C22×C4×C61#4112yes—
161C22×C4×C61#4112yes—
162C22×C4×C61#4112yes—
163C22×C4×C61#4112yes—
164C22×C4×C61#4112yes—
165C22×C4×C61#4112yes—
166C22×C4×C61#4112yes—
167C22×C4×C61#4112yes—
168C4⋊C4×C61—28no—
169C4⋊C4×C61—28no—
170C4⋊C4×C61—28no—
171C4⋊C4×C61—48no—
172C4⋊C4×C61—44no—
173C42×C61—28no—
174C42×C61—28no—
175C42×C61—48no—
176C42×C61—44no—
177C23×C61C23×C411yescharacteristic
178C23×C61C22×D411yescharacteristic
179C23×C61C22×Q811yescharacteristic
180C23×C61C2×#4111yescharacteristic
181C23×C61C2×#4111yescharacteristic
182C23×C61C2×#4111yescharacteristic
183C23×C61C2×#4111yescharacteristic
184C23×C61C2×#4111yescharacteristic
185C23×C61C2×#4111yescharacteristic
186C23×C61C2×#4111yescharacteristic
187C23×C61C2×#4111yescharacteristic
188C23×C61H(5,𝔽2)11yescharacteristic
189C23×C61H(5,𝔽2)11yescharacteristic
190C23×C612−1+411yescharacteristic
191C23×C612−1+411yescharacteristic
192C2×C4×C61—22no—
193C2×C4×C61—22no—
194C2×C4×C61—22no—
195C2×C4×C61—22no—
196C2×C4×C61—22no—
197C2×C4×C61—22no—
198C2×C4×C61—22no—
199C2×C4×C61—22no—
200C2×C4×C61—24no—
201C2×C4×C61—24no—
202C2×C4×C61—22no—
203C2×C4×C61—22no—
204C2×C4×C61—24no—
205C2×C4×C61—24no—
206C2×C4×C61—22no—
207C2×C4×C61—22no—
208C2×C4×C61—24no—
209C2×C4×C61—24no—
210C2×C4×C61—22no—
211C2×C4×C61—24no—
212C2×C4×C61—22no—
213C2×C4×C61—22no—
214C2×C4×C61—22no—
215C2×C4×C61—22no—
216C2×C4×C61—24no—
217C2×C4×C61—22no—
218C2×C4×C61—24no—
219C2×C4×C61—22no—
220C2×C4×C61—22no—
221C2×C4×C61—22no—
222C2×C4×C61—41no—
223C2×C4×C61—41no—
224C2×C4×C61—42no—
225C2×C4×C61—41no—
226C2×C4×C61—42no—
227C2×C4×C61—41no—
228C2×C4×C61—42no—
229C2×C4×C61—42no—
230C2×C4×C61—41no—
231C2×C4×C61—41no—
232C2×C4×C61—42no—
233C2×C4×C61—42no—
234C2×C4×C61—41no—
235C2×C4×C61—41no—
236C2×C4×C61—41no—
237C2×C4×C61—41no—
238C2×C4×C61—41no—
239C2×C4×C61—41no—
240C2×C4×C61—42no—
241C2×C4×C61—41no—
242C2×C4×C61—41no—
243C2×C4×C61—41no—
244C2×C4×C61—42no—
245C2×C4×C61—41no—
246C2×C4×C61—41no—
247C2×C4×C61—41no—
248C2×C4×C61—42no—
249C2×C4×C61—42no—
250C2×C4×C61—41no—
251C2×C4×C61—41no—
252C2×C4×C61—42no—
253C2×C4×C61—42no—
254C2×C4×C61—42no—
255C2×C4×C61—42no—
256C2×C4×C61—42no—
257C2×C4×C61—42no—
258C2×C4×C61—42no—
259C2×C4×C61—42no—
260C2×C4×C61—42no—
261C2×C4×C61#11714yes—
262C2×C4×C61C4×D414yes—
263C2×C4×C61C4×Q814yes—
264C2×C4×C61C22⋊Q814yes—
265C2×C4×C61#12314yes—
266C2×C4×C61#12514yes—
267C2×C4×C61#12514yes—
268C2×C4×C61#12614yes—
269#14030C6111yesmaximal, characteristic, direct product factor, Sylow
270C22×C61C2×#11711yescharacteristic
271C22×C61C2×C4×D411yescharacteristic
272C22×C61C2×C4×Q811yescharacteristic
273C22×C61C4×#4111yescharacteristic
274C22×C61C4×#4111yescharacteristic
275C22×C61#52011yescharacteristic
276C22×C61#52011yescharacteristic
277C22×C61C2×C22⋊Q811yescharacteristic
278C22×C61C2×#12311yescharacteristic
279C22×C61C2×#12511yescharacteristic
280C22×C61C2×#12511yescharacteristic
281C22×C61C2×#12611yescharacteristic
282C22×C61#52911yescharacteristic
283C22×C61#52911yescharacteristic
284C22×C61#53311yescharacteristic
285C22×C61#54011yescharacteristic
286C22×C61#54111yescharacteristic
287C22×C61#54411yescharacteristic
288C22×C61#54411yescharacteristic
289C22×C61#54611yescharacteristic
290C22×C61#54611yescharacteristic
291C22×C61#54811yescharacteristic
292C22×C61#54811yescharacteristic
293C22×C61#55211yescharacteristic
294C22×C61#55211yescharacteristic
295C22×C61#55311yescharacteristic
296C22×C61#55311yescharacteristic
297C22×C61#55511yescharacteristic
298C22×C61#55511yescharacteristic
299C22×C61#55611yescharacteristic
300C22×C61#55611yescharacteristic
301C22×C61#55611yescharacteristic
302C22×C61#55611yescharacteristic
303C22×C61#55911yescharacteristic
304C22×C61#55911yescharacteristic
305C4×C61—24no—
306C4×C61—42no—
307C4×C61—42no—
308C4×C61—44no—
309C4×C61—44no—
310C4×C61—44no—
311C4×C61—42no—
312C4×C61—42no—
313C4×C61—42no—
314C4×C61—82no—
315C4×C61#38718yes—
316C2×#389C2×C6111yescharacteristic
317C2×#382C2×C6111yescharacteristic
318C2×C4×C4⋊C4C2×C6111yescharacteristic
319#1443C2×C6112yes—
320#1442C2×C6112yes—
321#1436C2×C6112yes—
322C4⋊#95C2×C6111yescharacteristic
323C4⋊#95C2×C6111yescharacteristic
324C4⋊#95C2×C6111yescharacteristic
325#1434C2×C6112yes—
326C4×#95C2×C6111yescharacteristic
327C2×C61C2×#38711yescharacteristic
328C2×C61C4×#12511yescharacteristic
329C2×C61#233011yescharacteristic
330C2×C61#234611yescharacteristic
331C2×C61#234711yescharacteristic
332C2×C61#236711yescharacteristic
333C2×C61#236711yescharacteristic
334C2×C61#242011yescharacteristic
335C2×C61#242111yescharacteristic
336C2×C61#243911yescharacteristic
337C2×C61#244211yescharacteristic
338C2×C61#251311yescharacteristic
339C2×C61#251411yescharacteristic
340C2×C61#257011yescharacteristic
341C2×C61#257111yescharacteristic
342C22×C4⋊C4C22×C6111yescharacteristic
343C22×C4⋊C4C22×C6112yes—
344C22×C4⋊C4C22×C6111yescharacteristic
345C22×C4⋊C4C22×C6111yescharacteristic
346C22×C4⋊C4C22×C6111yescharacteristic
347C22×C42C22×C6111yescharacteristic
348C22×C42C22×C6112yes—
349C22×C42C22×C6111yescharacteristic
350C22×C42C22×C6111yescharacteristic
351#389—24no—
352#382C4×C6118yescomplemented
353C4×C4⋊C4—24no—
354C2×#95C22×C6111yescharacteristic
355C2×#95C22×C6111yescharacteristic
356C2×#95C22×C6111yescharacteristic
357C2×#95C22×C6111yescharacteristic
358C2×#95C22×C6112yes—
359C2×#95C22×C6112yes—
360C2×#95C22×C6112yes—
361C2×#95C22×C6112yes—
362C2×#95C22×C6112yes—
363C2×#95C22×C6112yes—
364C2×#95C22×C6112yes—
365C2×#95C22×C6112yes—
366C2×#95C22×C6112yes—
367C2×#95C22×C6112yes—
368C61#1403011yescharacteristic, direct product factor, Sylow
369C23×C4C23×C6112yes—
370C23×C4C23×C6112yes—
371C23×C4C23×C6112yes—
372C23×C4C23×C6111yescharacteristic
373C23×C4C23×C6111yescharacteristic
374C23×C4C23×C6112yes—
375C23×C4C23×C6111yescharacteristic
376C23×C4C23×C6111yescharacteristic
377C23×C4C23×C6111yescharacteristic
378C23×C4C23×C6111yescharacteristic
379C23×C4C23×C6111yescharacteristic
380C2×C4⋊C4—22no—
381C2×C4⋊C4—22no—
382C2×C4⋊C4—22no—
383C2×C4⋊C4—22no—
384C2×C4⋊C4—22no—
385C2×C4⋊C4—22no—
386C2×C4⋊C4—24no—
387C2×C4⋊C4—24no—
388C2×C4⋊C4—22no—
389C2×C4⋊C4—22no—
390C2×C4⋊C4—22no—
391C2×C4⋊C4—42no—
392C2×C4⋊C4C2×C4×C6114yes—
393C2×C4⋊C4C2×C4×C6114yes—
394C2×C4⋊C4D4×C6114yes—
395C2×C42—22no—
396C2×C42—22no—
397C2×C42—22no—
398C2×C42—22no—
399C2×C42—24no—
400C2×C42—22no—
401C2×C42—24no—
402C2×C42—22no—
403C2×C42—22no—
404C2×C42—42no—
405C2×C42C2×C4×C6114yes—
406C2×C42Q8×C6114yes—
407#95—24no—
408#95—24no—
409#95—22no—
410#95—22no—
411#95—22no—
412#95—22no—
413#95—24no—
414#95—24no—
415#95—42no—
416#95—42no—
417#95—42no—
418#95—42no—
419#95C2×C4×C6118yes—
420#95C2×C4×C6118yes—
421C24C24×C6111yescharacteristic
422C22×C4—21no—
423C22×C4—21no—
424C22×C4—21no—
425C22×C4—21no—
426C22×C4—21no—
427C22×C4—21no—
428C22×C4—22no—
429C22×C4—22no—
430C22×C4—21no—
431C22×C4—21no—
432C22×C4—21no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—22no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—22no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4C22×C4×C6112yes—
482C22×C4C22×C4×C6112yes—
483C22×C4C22×C4×C6114yes—
484C22×C4C22×C4×C6114yes—
485C22×C4C22×C4×C6112yes—
486C22×C4C2×D4×C6114yes—
487C22×C4C2×D4×C6112yes—
488C22×C4C2×Q8×C6112yes—
489C22×C4C2×Q8×C6112yes—
490C22×C4C2×Q8×C6112yes—
491C22×C4#41×C6112yes—
492C22×C4#41×C6112yes—
493C22×C4#41×C6112yes—
494C22×C4#41×C6112yes—
495C22×C4#41×C6112yes—
496C22×C4#41×C6112yes—
497C22×C4#41×C6112yes—
498C22×C4#41×C6112yes—
499C4⋊C4—28no—
500C4⋊C4—28no—
501C4⋊C4—28no—
502C4⋊C4—48no—
503C4⋊C4—44no—
504C42—28no—
505C42—28no—
506C42—48no—
507C42—44no—
508C23C23×C4×C6111yescharacteristic
509C23C22×D4×C6111yescharacteristic
510C23C22×Q8×C6111yescharacteristic
511C23C2×#41×C6111yescharacteristic
512C23C2×#41×C6111yescharacteristic
513C23C2×#41×C6111yescharacteristic
514C23C2×#41×C6111yescharacteristic
515C23C2×#41×C6111yescharacteristic
516C23C2×#41×C6111yescharacteristic
517C23C2×#41×C6111yescharacteristic
518C23C2×#41×C6111yescharacteristic
519C23H(5,𝔽2)×C6111yescharacteristic
520C23H(5,𝔽2)×C6111yescharacteristic
521C232−1+4×C6111yescharacteristic
522C232−1+4×C6111yescharacteristic
523C2×C4—22no—
524C2×C4—22no—
525C2×C4—22no—
526C2×C4—22no—
527C2×C4—22no—
528C2×C4—22no—
529C2×C4—22no—
530C2×C4—22no—
531C2×C4—24no—
532C2×C4—22no—
533C2×C4—24no—
534C2×C4—22no—
535C2×C4—22no—
536C2×C4—22no—
537C2×C4—22no—
538C2×C4—22no—
539C2×C4—24no—
540C2×C4—24no—
541C2×C4—22no—
542C2×C4—22no—
543C2×C4—24no—
544C2×C4—24no—
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—24no—
548C2×C4—24no—
549C2×C4—22no—
550C2×C4—24no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—41no—
554C2×C4—42no—
555C2×C4—41no—
556C2×C4—42no—
557C2×C4—42no—
558C2×C4—41no—
559C2×C4—41no—
560C2×C4—42no—
561C2×C4—42no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—42no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—42no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—42no—
577C2×C4—42no—
578C2×C4—41no—
579C2×C4—41no—
580C2×C4—42no—
581C2×C4—42no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—42no—
585C2×C4—42no—
586C2×C4—42no—
587C2×C4—42no—
588C2×C4—42no—
589C2×C4—42no—
590C2×C4—42no—
591C2×C4—42no—
592C2×C4#117×C6114yes—
593C2×C4C4×D4×C6114yes—
594C2×C4C4×Q8×C6114yes—
595C2×C4C22⋊Q8×C6114yes—
596C2×C4#123×C6114yes—
597C2×C4#125×C6114yes—
598C2×C4#125×C6114yes—
599C2×C4#126×C6114yes—
600C22C2×#117×C6111yescharacteristic
601C22C2×C4×D4×C6111yescharacteristic
602C22C2×C4×Q8×C6111yescharacteristic
603C22C4×#41×C6111yescharacteristic
604C22C4×#41×C6111yescharacteristic
605C22C61×#52011yescharacteristic
606C22C61×#52011yescharacteristic
607C22C2×C22⋊Q8×C6111yescharacteristic
608C22C2×#123×C6111yescharacteristic
609C22C2×#125×C6111yescharacteristic
610C22C2×#125×C6111yescharacteristic
611C22C2×#126×C6111yescharacteristic
612C22C61×#52911yescharacteristic
613C22C61×#52911yescharacteristic
614C22C61×#53311yescharacteristic
615C22C61×#54011yescharacteristic
616C22C61×#54111yescharacteristic
617C22C61×#54411yescharacteristic
618C22C61×#54411yescharacteristic
619C22C61×#54611yescharacteristic
620C22C61×#54611yescharacteristic
621C22C61×#54811yescharacteristic
622C22C61×#54811yescharacteristic
623C22C61×#55211yescharacteristic
624C22C61×#55211yescharacteristic
625C22C61×#55311yescharacteristic
626C22C61×#55311yescharacteristic
627C22C61×#55511yescharacteristic
628C22C61×#55511yescharacteristic
629C22C61×#55611yescharacteristic
630C22C61×#55611yescharacteristic
631C22C61×#55611yescharacteristic
632C22C61×#55611yescharacteristic
633C22C61×#55911yescharacteristic
634C22C61×#55911yescharacteristic
635C4—24no—
636C4—42no—
637C4—42no—
638C4—44no—
639C4—44no—
640C4—44no—
641C4—42no—
642C4—42no—
643C4—42no—
644C4—82no—
645C4C61×#38718yes—
646C2C2×C61×#38711yescharacteristic
647C2C4×#125×C6111yescharacteristic
648C2C61×#233011yescharacteristic
649C2C61×#234611yescharacteristic
650C2C61×#234711yescharacteristic
651C2C61×#236711yescharacteristic
652C2C61×#236711yescharacteristic
653C2C61×#242011yescharacteristic
654C2C61×#242111yescharacteristic
655C2C61×#243911yescharacteristic
656C2C61×#244211yescharacteristic
657C2C61×#251311yescharacteristic
658C2C61×#251411yescharacteristic
659C2C61×#257011yescharacteristic
660C2C61×#257111yescharacteristic
subgroupG/H
center, socle, prime radicalC24×C61C24
commutatorC23C23×C4×C61
Frattini, cosocleC24C24×C61
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C24×C61 ◁ G

Complements

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

NH ≅ G/Ntype
22. C61×#382C4semidirect
269. #14030C61direct (N × H)
352. #382C4×C61semidirect
368. C61#14030direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C61×#3892
C2×C61×#3822
C2×C4×C4⋊C4×C612
C61×#14432
C61×#14422
C61×#14362
C61×C4⋊#952
C61×#14342
C4×#95×C612
#1403061