Finite Group Databasebeta

← C61×#25280 #29528713

Subgroups — C61×#25280 #29528713

Order 15616.

848 conjugacy classes of subgroups.

The subgroup lattice has 682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C61×#488C211yesmaximal, characteristic, complemented
2C2×C61×#478C211yesmaximal, characteristic, complemented
3C61×#2544C211yesmaximal, characteristic
4C61×#2370C211yesmaximal, characteristic, complemented
5C61×#2067C211yesmaximal, characteristic, complemented
6C61×#2066C211yesmaximal, characteristic, complemented
7C61×#2042C211yesmaximal, characteristic, complemented
8C61×#2041C211yesmaximal, characteristic
9C61×#1983C211yesmaximal, characteristic, complemented
10C61×#1983C211yesmaximal, characteristic, complemented
11C61×#1982C211yesmaximal, characteristic
12C61×#1939C211yesmaximal, characteristic, complemented
13C61×#1928C211yesmaximal, characteristic, complemented
14C61×#1926C211yesmaximal, characteristic, complemented
15C4×#102×C61C211yesmaximal, characteristic, complemented
16C2×#127×C61C2211yescharacteristic
17C2×#125×C61C2211yescharacteristic
18C2×#124×C61C2211yescharacteristic
19C2×#124×C61C2211yescharacteristic
20C2×C4×D4×C61C2211yescharacteristic
21C61×#488—24no—
22C61×#478—24no—
23C2×#107×C61C2211yescharacteristic
24C2×#106×C61C2211yescharacteristic
25C2×C4⋊C8×C61C2211yescharacteristic
26C2×C4⋊C8×C61C2211yescharacteristic
27C2×C4⋊C8×C61C2211yescharacteristic
28C2×#103×C61C2211yescharacteristic
29C2×#103×C61C2211yescharacteristic
30C2×#103×C61C2211yescharacteristic
31C2×#103×C61C2211yescharacteristic
32C2×#102×C61C2211yescharacteristic
33C2×#102×C61C2211yescharacteristic
34C2×#102×C61C2211yescharacteristic
35C2×#102×C61C2211yescharacteristic
36C2×#102×C61C2211yescharacteristic
37C2×#102×C61C2211yescharacteristic
38C2×#102×C61C2211yescharacteristic
39C2×#102×C61C2211yescharacteristic
40C2×C4×C8×C61C2211yescharacteristic
41C61×#394—21no—
42C61×#394—21no—
43C61×#391C2211yescharacteristic
44C61×#390C2211yescharacteristic
45C61×#389—21no—
46C61×#389C2211yescharacteristic
47C61×#389C2211yescharacteristic
48C61×#387—21no—
49C61×#387—21no—
50C61×#386—21no—
51C61×#386—21no—
52C4×C4⋊C4×C61—21no—
53C4×C4⋊C4×C61C2211yescharacteristic
54C4×C4⋊C4×C61C2211yescharacteristic
55C4×C4⋊C4×C61C2211yescharacteristic
56C4×C4⋊C4×C61C2211yescharacteristic
57C61×#340C2211yescharacteristic
58C61×#340C2211yescharacteristic
59C61×#336C2211yescharacteristic
60C61×#336C2211yescharacteristic
61C22×Q8×C61C2311yescharacteristic
62C22×D4×C61—21no—
63C22×D4×C61—21no—
64C22×D4×C61C2311yescharacteristic
65C22×D4×C61C2311yescharacteristic
66C23×C4×C61—21no—
67C22×C8×C61C2311yescharacteristic
68C22×C8×C61C2311yescharacteristic
69C22×C8×C61C2311yescharacteristic
70C22×C8×C61C2311yescharacteristic
71#127×C61—22no—
72#127×C61—41no—
73#125×C61—22no—
74#125×C61D414yescomplemented
75#124×C61—22no—
76#124×C61—22no—
77#124×C61—22no—
78#124×C61—41no—
79C4×D4×C61—22no—
80C4×D4×C61—22no—
81C2×C4⋊C4×C61—21no—
82C2×C4⋊C4×C61—21no—
83C2×C4⋊C4×C61—21no—
84C2×C4⋊C4×C61—21no—
85C2×C4⋊C4×C61D411yescharacteristic
86C2×C4⋊C4×C61D411yescharacteristic
87C2×C4⋊C4×C61C2311yescharacteristic
88C2×C4⋊C4×C61C2311yescharacteristic
89C2×C4⋊C4×C61C2311yescharacteristic
90C2×C4⋊C4×C61C2311yescharacteristic
91C2×C4⋊C4×C61C2311yescharacteristic
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×C42×C61—21no—
100C2×C42×C61—21no—
101C2×C42×C61—21no—
102C2×C42×C61C2311yescharacteristic
103C2×C42×C61C2311yescharacteristic
104C2×C42×C61C2311yescharacteristic
105#107×C61—22no—
106#106×C61—22no—
107C4⋊C8×C61—22no—
108C4⋊C8×C61—41no—
109C4⋊C8×C61—41no—
110#103×C61—22no—
111#103×C61—22no—
112#103×C61—22no—
113#103×C61—41no—
114#102×C61—22no—
115#102×C61—22no—
116#102×C61—22no—
117#102×C61—22no—
118#102×C61—22no—
119#102×C61—22no—
120#102×C61—22no—
121#102×C61—41no—
122C4×C8×C61—22no—
123#95×C61—21no—
124#95×C61—21no—
125#95×C61—21no—
126#95×C61—21no—
127#95×C61—21no—
128#95×C61—21no—
129#95×C61—21no—
130#95×C61D411yescharacteristic
131#95×C61D411yescharacteristic
132C24×C61—21no—
133C24×C61—21no—
134C2×Q8×C61—21no—
135C2×Q8×C61—21no—
136C2×Q8×C61—21no—
137C2×Q8×C61—21no—
138C2×Q8×C61—21no—
139C2×Q8×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—21no—
147C2×D4×C61—21no—
148C2×D4×C61—21no—
149C2×D4×C61—21no—
150C2×D4×C61—21no—
151C2×D4×C61—42no—
152C2×D4×C61—42no—
153C2×D4×C61—42no—
154C2×D4×C61—42no—
155C2×D4×C61—81no—
156C2×D4×C61—81no—
157C2×D4×C61#4112yes—
158C22×C4×C61—21no—
159C22×C4×C61—21no—
160C22×C4×C61—21no—
161C22×C4×C61—21no—
162C22×C4×C61—21no—
163C22×C4×C61—21no—
164C22×C4×C61—42no—
165C22×C4×C61—81no—
166C22×C4×C61—81no—
167C22×C4×C61C2×D411yescharacteristic
168C22×C4×C61C2×D411yescharacteristic
169C22×C4×C61C2×D411yescharacteristic
170C22×C4×C61C2×D411yescharacteristic
171C22×C4×C61C2×D411yescharacteristic
172C22×C4×C61C2×D411yescharacteristic
173C22×C4×C61C2411yescharacteristic
174C2×C8×C61—21no—
175C2×C8×C61—21no—
176C2×C8×C61—21no—
177C2×C8×C61—21no—
178C2×C8×C61—21no—
179C2×C8×C61—21no—
180C2×C8×C61—21no—
181C2×C8×C61—21no—
182C2×C8×C61—21no—
183C2×C8×C61—21no—
184C2×C8×C61—21no—
185C2×C8×C61—21no—
186C4⋊C4×C61—24no—
187C4⋊C4×C61—24no—
188C4⋊C4×C61—22no—
189C4⋊C4×C61—21no—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—21no—
196C4⋊C4×C61—41no—
197C4⋊C4×C61—42no—
198C4⋊C4×C61—81no—
199C4⋊C4×C61C2×D412yes—
200C4⋊C4×C61C2×D412yes—
201C4⋊C4×C61#4112yes—
202C22⋊C4×C61—42no—
203C22⋊C4×C61—42no—
204C22⋊C4×C61—42no—
205C22⋊C4×C61—42no—
206C22⋊C4×C61—42no—
207C22⋊C4×C61—81no—
208C22⋊C4×C61—81no—
209C42×C61—21no—
210C42×C61—21no—
211C42×C61—21no—
212C42×C61—21no—
213C42×C61—42no—
214C42×C61—81no—
215C42×C61—81no—
216C42×C61C2×D412yes—
217C42×C61#4112yes—
218C23×C61—22no—
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×C61—41no—
228C23×C61—41no—
229C23×C61—41no—
230C23×C61—41no—
231C23×C61—41no—
232C23×C61C22×D411yescharacteristic
233Q8×C61—41no—
234Q8×C61—41no—
235Q8×C61—41no—
236Q8×C61—41no—
237D4×C61—22no—
238D4×C61—22no—
239D4×C61—41no—
240D4×C61—41no—
241D4×C61—41no—
242D4×C61—41no—
243D4×C61—41no—
244D4×C61—41no—
245D4×C61—84no—
246D4×C61—84no—
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—22no—
254C2×C4×C61—22no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—22no—
259C2×C4×C61—21no—
260C2×C4×C61—21no—
261C2×C4×C61—21no—
262C2×C4×C61—21no—
263C2×C4×C61—21no—
264C2×C4×C61—21no—
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—41no—
275C2×C4×C61—41no—
276C2×C4×C61—41no—
277C2×C4×C61—41no—
278C2×C4×C61—41no—
279C2×C4×C61—41no—
280C2×C4×C61—84no—
281C2×C4×C61#12112yes—
282C2×C4×C61#12112yes—
283C2×C4×C61#13512yes—
284C2×C4×C61C22×D411yescharacteristic
285C2×C4×C61C2×#4111yescharacteristic
286C2×C4×C61C2×#4111yescharacteristic
287C2×C4×C61C2×#4111yescharacteristic
288C2×C4×C61H(5,𝔽2)11yescharacteristic
289C2×C4×C612−1+411yescharacteristic
290C8×C61—41no—
291C8×C61—41no—
292C8×C61—41no—
293C8×C61—41no—
294#25280C6111yesmaximal, characteristic, direct product factor, Sylow
295C22×C61—42no—
296C22×C61—42no—
297C22×C61—42no—
298C22×C61—81no—
299C22×C61—81no—
300C22×C61—81no—
301C22×C61—81no—
302C22×C61—81no—
303C22×C61—81no—
304C22×C61—81no—
305C22×C61—81no—
306C22×C61—81no—
307C22×C61—81no—
308C22×C61—81no—
309C22×C61C2×#12111yescharacteristic
310C22×C61#54611yescharacteristic
311C22×C61#54811yescharacteristic
312C22×C61C2×#13511yescharacteristic
313C22×C61#57511yescharacteristic
314C22×C61#57611yescharacteristic
315C22×C61#57711yescharacteristic
316C4×C61—22no—
317C4×C61—22no—
318C4×C61—22no—
319C4×C61—42no—
320C4×C61—42no—
321C4×C61—41no—
322C4×C61—42no—
323C4×C61—41no—
324C4×C61—41no—
325C4×C61—81no—
326C4×C61—81no—
327C4×C61—81no—
328C4×C61#52911yescharacteristic
329C4×C61#54211yescharacteristic
330C4×C61#54811yescharacteristic
331C4×C61#55011yescharacteristic
332C2×#488C2×C6111yescharacteristic, complemented
333C2×#478C2×C6111yescharacteristic, complemented
334#2544C2×C6111yescharacteristic
335#2370C2×C6111yescharacteristic, complemented
336#2067C2×C6111yescharacteristic, complemented
337#2066C2×C6111yescharacteristic, complemented
338#2042C2×C6111yescharacteristic, complemented
339#2041C2×C6111yescharacteristic
340#1983C2×C6111yescharacteristic, complemented
341#1983C2×C6111yescharacteristic, complemented
342#1982C2×C6111yescharacteristic
343#1939C2×C6111yescharacteristic, complemented
344#1928C2×C6111yescharacteristic, complemented
345#1926C2×C6111yescharacteristic, complemented
346C4×#102C2×C6111yescharacteristic, complemented
347C2×C61—82no—
348C2×C61—161no—
349C2×C61#242611yescharacteristic
350C2×C61#303511yescharacteristic
351C2×C61#304511yescharacteristic
352C2×C61#329711yescharacteristic
353C2×C61#332311yescharacteristic
354C2×C61#336511yescharacteristic
355C2×C61#337011yescharacteristic
356C2×#127C22×C6111yescharacteristic
357C2×#125C22×C6111yescharacteristic
358C2×#124C22×C6111yescharacteristic
359C2×#124C22×C6111yescharacteristic
360C2×C4×D4C22×C6111yescharacteristic
361#488—24no—
362#478—24no—
363C2×#107C22×C6111yescharacteristic
364C2×#106C22×C6111yescharacteristic
365C2×C4⋊C8C22×C6111yescharacteristic
366C2×C4⋊C8C22×C6111yescharacteristic
367C2×C4⋊C8C22×C6111yescharacteristic
368C2×#103C22×C6111yescharacteristic
369C2×#103C22×C6111yescharacteristic
370C2×#103C22×C6111yescharacteristic
371C2×#103C22×C6111yescharacteristic
372C2×#102C22×C6111yescharacteristic
373C2×#102C22×C6111yescharacteristic
374C2×#102C22×C6111yescharacteristic
375C2×#102C22×C6111yescharacteristic
376C2×#102C22×C6111yescharacteristic
377C2×#102C22×C6111yescharacteristic
378C2×#102C22×C6111yescharacteristic
379C2×#102C22×C6111yescharacteristic
380C2×C4×C8C22×C6111yescharacteristic
381#394—21no—
382#394—21no—
383#391C22×C6111yescharacteristic
384#390C22×C6111yescharacteristic
385#389—21no—
386#389C22×C6111yescharacteristic
387#389C22×C6111yescharacteristic
388#387—21no—
389#387—21no—
390#386—21no—
391#386—21no—
392C4×C4⋊C4—21no—
393C4×C4⋊C4C22×C6111yescharacteristic
394C4×C4⋊C4C22×C6111yescharacteristic
395C4×C4⋊C4C22×C6111yescharacteristic
396C4×C4⋊C4C22×C6111yescharacteristic
397#340C22×C6111yescharacteristic
398#340C22×C6111yescharacteristic
399#336C22×C6111yescharacteristic
400#336C22×C6111yescharacteristic
401C61#2528011yescharacteristic, direct product factor, Sylow
402C22×Q8C23×C6111yescharacteristic
403C22×D4—21no—
404C22×D4—21no—
405C22×D4C23×C6111yescharacteristic
406C22×D4C23×C6111yescharacteristic
407C23×C4—21no—
408C22×C8C23×C6111yescharacteristic
409C22×C8C23×C6111yescharacteristic
410C22×C8C23×C6111yescharacteristic
411C22×C8C23×C6111yescharacteristic
412#127—22no—
413#127—41no—
414#125—22no—
415#125D4×C6114yescomplemented
416#124—22no—
417#124—22no—
418#124—22no—
419#124—41no—
420C4×D4—22no—
421C4×D4—22no—
422C2×C4⋊C4—21no—
423C2×C4⋊C4—21no—
424C2×C4⋊C4—21no—
425C2×C4⋊C4—21no—
426C2×C4⋊C4D4×C6111yescharacteristic
427C2×C4⋊C4D4×C6111yescharacteristic
428C2×C4⋊C4C23×C6111yescharacteristic
429C2×C4⋊C4C23×C6111yescharacteristic
430C2×C4⋊C4C23×C6111yescharacteristic
431C2×C4⋊C4C23×C6111yescharacteristic
432C2×C4⋊C4C23×C6111yescharacteristic
433C2×C22⋊C4—21no—
434C2×C22⋊C4—21no—
435C2×C22⋊C4—21no—
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C42—21no—
441C2×C42—21no—
442C2×C42—21no—
443C2×C42C23×C6111yescharacteristic
444C2×C42C23×C6111yescharacteristic
445C2×C42C23×C6111yescharacteristic
446#107—22no—
447#106—22no—
448C4⋊C8—22no—
449C4⋊C8—41no—
450C4⋊C8—41no—
451#103—22no—
452#103—22no—
453#103—22no—
454#103—41no—
455#102—22no—
456#102—22no—
457#102—22no—
458#102—22no—
459#102—22no—
460#102—22no—
461#102—22no—
462#102—41no—
463C4×C8—22no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95—21no—
471#95D4×C6111yescharacteristic
472#95D4×C6111yescharacteristic
473C24—21no—
474C24—21no—
475C2×Q8—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×D4—21no—
482C2×D4—21no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—21no—
486C2×D4—21no—
487C2×D4—21no—
488C2×D4—21no—
489C2×D4—21no—
490C2×D4—21no—
491C2×D4—21no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—42no—
496C2×D4—81no—
497C2×D4—81no—
498C2×D4#41×C6112yes—
499C22×C4—21no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—42no—
506C22×C4—81no—
507C22×C4—81no—
508C22×C4C2×D4×C6111yescharacteristic
509C22×C4C2×D4×C6111yescharacteristic
510C22×C4C2×D4×C6111yescharacteristic
511C22×C4C2×D4×C6111yescharacteristic
512C22×C4C2×D4×C6111yescharacteristic
513C22×C4C2×D4×C6111yescharacteristic
514C22×C4C24×C6111yescharacteristic
515C2×C8—21no—
516C2×C8—21no—
517C2×C8—21no—
518C2×C8—21no—
519C2×C8—21no—
520C2×C8—21no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C4⋊C4—24no—
528C4⋊C4—24no—
529C4⋊C4—22no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—41no—
538C4⋊C4—42no—
539C4⋊C4—81no—
540C4⋊C4C2×D4×C6112yes—
541C4⋊C4C2×D4×C6112yes—
542C4⋊C4#41×C6112yes—
543C22⋊C4—42no—
544C22⋊C4—42no—
545C22⋊C4—42no—
546C22⋊C4—42no—
547C22⋊C4—42no—
548C22⋊C4—81no—
549C22⋊C4—81no—
550C42—21no—
551C42—21no—
552C42—21no—
553C42—21no—
554C42—42no—
555C42—81no—
556C42—81no—
557C42C2×D4×C6112yes—
558C42#41×C6112yes—
559C23—22no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23C22×D4×C6111yescharacteristic
574Q8—41no—
575Q8—41no—
576Q8—41no—
577Q8—41no—
578D4—22no—
579D4—22no—
580D4—41no—
581D4—41no—
582D4—41no—
583D4—41no—
584D4—41no—
585D4—41no—
586D4—84no—
587D4—84no—
588C2×C4—21no—
589C2×C4—21no—
590C2×C4—21no—
591C2×C4—21no—
592C2×C4—21no—
593C2×C4—21no—
594C2×C4—21no—
595C2×C4—21no—
596C2×C4—21no—
597C2×C4—22no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—41no—
607C2×C4—41no—
608C2×C4—41no—
609C2×C4—41no—
610C2×C4—41no—
611C2×C4—41no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—41no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—41no—
621C2×C4—84no—
622C2×C4#121×C6112yes—
623C2×C4#121×C6112yes—
624C2×C4#135×C6112yes—
625C2×C4C22×D4×C6111yescharacteristic
626C2×C4C2×#41×C6111yescharacteristic
627C2×C4C2×#41×C6111yescharacteristic
628C2×C4C2×#41×C6111yescharacteristic
629C2×C4H(5,𝔽2)×C6111yescharacteristic
630C2×C42−1+4×C6111yescharacteristic
631C8—41no—
632C8—41no—
633C8—41no—
634C8—41no—
635C22—42no—
636C22—42no—
637C22—42no—
638C22—81no—
639C22—81no—
640C22—81no—
641C22—81no—
642C22—81no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22—81no—
648C22—81no—
649C22C2×#121×C6111yescharacteristic
650C22C61×#54611yescharacteristic
651C22C61×#54811yescharacteristic
652C22C2×#135×C6111yescharacteristic
653C22C61×#57511yescharacteristic
654C22C61×#57611yescharacteristic
655C22C61×#57711yescharacteristic
656C4—22no—
657C4—22no—
658C4—22no—
659C4—42no—
660C4—41no—
661C4—42no—
662C4—41no—
663C4—41no—
664C4—42no—
665C4—81no—
666C4—81no—
667C4—81no—
668C4C61×#52911yescharacteristic
669C4C61×#54211yescharacteristic
670C4C61×#54811yescharacteristic
671C4C61×#55011yescharacteristic
672C2—82no—
673C2—161no—
674C2C61×#242611yescharacteristic
675C2C61×#303511yescharacteristic
676C2C61×#304511yescharacteristic
677C2C61×#329711yescharacteristic
678C2C61×#332311yescharacteristic
679C2C61×#336511yescharacteristic
680C2C61×#337011yescharacteristic
subgroupG/H
center, socleC23×C61C22×D4
commutator, Frattini, cosocleC22×C4C24×C61
prime radicalC2×#127×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. C2×C61×#488C2semidirect
2. C2×C61×#478C2semidirect
4. C61×#2370C2semidirect
5. C61×#2067C2semidirect
6. C61×#2066C2semidirect
7. C61×#2042C2semidirect
9. C61×#1983C2semidirect
10. C61×#1983C2semidirect
12. C61×#1939C2semidirect
13. C61×#1928C2semidirect
14. C61×#1926C2semidirect
15. C4×#102×C61C2semidirect
74. #125×C61D4semidirect
294. #25280C61direct (N × H)
332. C2×#488C2×C61semidirect
333. C2×#478C2×C61semidirect
335. #2370C2×C61semidirect
336. #2067C2×C61semidirect
337. #2066C2×C61semidirect
338. #2042C2×C61semidirect
340. #1983C2×C61semidirect
341. #1983C2×C61semidirect
343. #1939C2×C61semidirect
344. #1928C2×C61semidirect
345. #1926C2×C61semidirect
346. C4×#102C2×C61semidirect
401. C61#25280direct (N × H)
415. #125D4×C61semidirect

Maximal subgroups

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

subgroupindex
C2×C61×#4882
C2×C61×#4782
C61×#25442
C61×#23702
C61×#20672
C61×#20662
C61×#20422
C61×#20412
C61×#19832
C61×#19822
C61×#19392
C61×#19282
C61×#19262
C4×#102×C612
#2528061