Finite Group Databasebeta

← C61×#23690 #29527123

Subgroups — C61×#23690 #29527123

Order 15616.

908 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C61×#440C211yesmaximal, characteristic, complemented
2C2×C4×SD16×C61C211yesmaximal, characteristic, complemented
3C61×#2328C211yesmaximal, characteristic
4C61×#2320C211yesmaximal, characteristic, complemented
5C61×#2085C211yesmaximal, characteristic, complemented
6C61×#2074C211yesmaximal, characteristic, complemented
7C61×#2067C211yesmaximal, characteristic, complemented
8C61×#2065C211yesmaximal, characteristic, complemented
9C61×#2055C211yesmaximal, characteristic, complemented
10C61×#2055C211yesmaximal, characteristic, complemented
11C61×#2041C211yesmaximal, characteristic
12C61×#2014C211yesmaximal, characteristic
13C61×#1768C211yesmaximal, characteristic, complemented
14C61×#1762C211yesmaximal, characteristic, complemented
15C4×#102×C61C211yesmaximal, characteristic, complemented
16C22×SD16×C61C2211yescharacteristic
17C22×SD16×C61C2211yescharacteristic
18C2×#127×C61C2211yescharacteristic
19C2×C4×Q8×C61C2211yescharacteristic
20C2×C4×D4×C61C2211yescharacteristic
21C2×C4×D4×C61C2211yescharacteristic
22C61×#440—24no—
23C4×SD16×C61—24no—
24C2×#107×C61C2211yescharacteristic
25C2×#106×C61C2211yescharacteristic
26C2×C4⋊C8×C61C2211yescharacteristic
27C2×C4⋊C8×C61C2211yescharacteristic
28C2×#103×C61C2211yescharacteristic
29C2×#103×C61C2211yescharacteristic
30C2×#102×C61C2211yescharacteristic
31C2×#102×C61C2211yescharacteristic
32C2×#102×C61C2211yescharacteristic
33C2×#102×C61C2211yescharacteristic
34C2×#102×C61C2211yescharacteristic
35C2×#102×C61C2211yescharacteristic
36C2×#97×C61C2211yescharacteristic
37C2×C4×C8×C61C2211yescharacteristic
38C61×#391C2211yescharacteristic
39C61×#391C2211yescharacteristic
40C61×#390C2211yescharacteristic
41C61×#390C2211yescharacteristic
42C61×#389C2211yescharacteristic
43C61×#389C2211yescharacteristic
44C61×#387—21no—
45C61×#387—21no—
46C61×#386—21no—
47C61×#386—21no—
48C61×#386—21no—
49C61×#386—21no—
50C61×#383—21no—
51C61×#382—21no—
52C61×#382C2211yescharacteristic
53C4×C4⋊C4×C61C2211yescharacteristic
54C61×#376C2211yescharacteristic
55C61×#340C2211yescharacteristic
56C61×#340C2211yescharacteristic
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—
67C23×C4×C61—21no—
68C2×SD16×C61—22no—
69C2×SD16×C61—22no—
70C2×SD16×C61—22no—
71C2×SD16×C61—22no—
72C2×SD16×C61—22no—
73C2×SD16×C61—22no—
74C22×C8×C61C2311yescharacteristic
75C22×C8×C61C2311yescharacteristic
76C22×C8×C61C2311yescharacteristic
77C22×C8×C61C2311yescharacteristic
78#127×C61—22no—
79#127×C61—22no—
80C4×Q8×C61—22no—
81C4×Q8×C61D414yescomplemented
82C4×D4×C61—22no—
83C4×D4×C61—22no—
84C4×D4×C61—22no—
85C4×D4×C61—22no—
86C2×C4⋊C4×C61—21no—
87C2×C4⋊C4×C61—21no—
88C2×C4⋊C4×C61—21no—
89C2×C4⋊C4×C61C2311yescharacteristic
90C2×C4⋊C4×C61C2311yescharacteristic
91C2×C4⋊C4×C61C2311yescharacteristic
92C2×C4⋊C4×C61C2311yescharacteristic
93C2×C4⋊C4×C61C2311yescharacteristic
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×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—22no—
109#103×C61—22no—
110#103×C61—22no—
111#102×C61—22no—
112#102×C61—22no—
113#102×C61—22no—
114#102×C61—22no—
115#102×C61—22no—
116#102×C61—22no—
117#97×C61—22no—
118C4×C8×C61—22no—
119#95×C61—21no—
120#95×C61—21no—
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
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×C61C2×D412yes—
140C2×D4×C61—24no—
141C2×D4×C61—24no—
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—21no—
152C2×D4×C61—81no—
153C2×D4×C61—81no—
154C2×D4×C61—81no—
155C2×D4×C61—81no—
156C2×D4×C61#4112yes—
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—42no—
166C22×C4×C61—81no—
167C22×C4×C61—81no—
168C22×C4×C61—81no—
169C22×C4×C61—81no—
170C22×C4×C61C2×D411yescharacteristic
171C22×C4×C61C2×D411yescharacteristic
172C22×C4×C61C2×D411yescharacteristic
173C22×C4×C61C2×D411yescharacteristic
174C22×C4×C61C2×D411yescharacteristic
175C22×C4×C61C2×D411yescharacteristic
176C22×C4×C61C2411yescharacteristic
177SD16×C61—28no—
178SD16×C61—28no—
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—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61—21no—
189C2×C8×C61#4112yes—
190C2×C8×C61#4112yes—
191C4⋊C4×C61—24no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61—21no—
194C4⋊C4×C61—21no—
195C4⋊C4×C61—21no—
196C4⋊C4×C61—21no—
197C4⋊C4×C61—21no—
198C4⋊C4×C61—21no—
199C4⋊C4×C61—21no—
200C4⋊C4×C61—21no—
201C4⋊C4×C61—81no—
202C4⋊C4×C61—81no—
203C4⋊C4×C61C2×D412yes—
204C22⋊C4×C61—42no—
205C22⋊C4×C61—42no—
206C22⋊C4×C61—81no—
207C22⋊C4×C61—81no—
208C22⋊C4×C61—81no—
209C22⋊C4×C61—81no—
210C42×C61—24no—
211C42×C61—21no—
212C42×C61—21no—
213C42×C61—21no—
214C42×C61—21no—
215C42×C61—81no—
216C42×C61C2×D412yes—
217C42×C61#4112yes—
218C23×C61—22no—
219C23×C61—22no—
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—22no—
234Q8×C61—22no—
235Q8×C61—41no—
236Q8×C61—41no—
237D4×C61—22no—
238D4×C61—22no—
239D4×C61—22no—
240D4×C61—22no—
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—22no—
252C2×C4×C61—22no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—21no—
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—41no—
281C2×C4×C61—84no—
282C2×C4×C61—84no—
283C2×C4×C61#12112yes—
284C2×C4×C61#12112yes—
285C2×C4×C61C22×D411yescharacteristic
286C2×C4×C61C2×#4111yescharacteristic
287C2×C4×C61C2×#4111yescharacteristic
288C2×C4×C61C2×#4111yescharacteristic
289C2×C4×C61C2×#4111yescharacteristic
290C2×C4×C61C2×#4111yescharacteristic
291C8×C61—22no—
292C8×C61—22no—
293C8×C61—41no—
294C8×C61—41no—
295#23690C6111yesmaximal, characteristic, direct product factor, Sylow
296C22×C61—42no—
297C22×C61—42no—
298C22×C61—42no—
299C22×C61—42no—
300C22×C61—42no—
301C22×C61—42no—
302C22×C61—81no—
303C22×C61—81no—
304C22×C61—81no—
305C22×C61—81no—
306C22×C61—81no—
307C22×C61—81no—
308C22×C61—81no—
309C22×C61—81no—
310C22×C61C2×#12111yescharacteristic
311C22×C61#52511yescharacteristic
312C22×C61#53211yescharacteristic
313C22×C61#57611yescharacteristic
314C22×C61#57711yescharacteristic
315C22×C61#57711yescharacteristic
316C22×C61#57711yescharacteristic
317C4×C61—22no—
318C4×C61—22no—
319C4×C61—41no—
320C4×C61—41no—
321C4×C61—42no—
322C4×C61—41no—
323C4×C61—41no—
324C4×C61—42no—
325C4×C61—81no—
326C4×C61—81no—
327C4×C61—81no—
328C4×C61—81no—
329C4×C61#52511yescharacteristic
330C4×C61#52511yescharacteristic
331C4×C61#52911yescharacteristic
332C4×C61#52911yescharacteristic
333C2×#440C2×C6111yescharacteristic, complemented
334C2×C4×SD16C2×C6111yescharacteristic, complemented
335#2328C2×C6111yescharacteristic
336#2320C2×C6111yescharacteristic, complemented
337#2085C2×C6111yescharacteristic, complemented
338#2074C2×C6111yescharacteristic, complemented
339#2067C2×C6111yescharacteristic, complemented
340#2065C2×C6111yescharacteristic, complemented
341#2055C2×C6111yescharacteristic, complemented
342#2055C2×C6111yescharacteristic, complemented
343#2041C2×C6111yescharacteristic
344#2014C2×C6111yescharacteristic
345#1768C2×C6111yescharacteristic, complemented
346#1762C2×C6111yescharacteristic, complemented
347C4×#102C2×C6111yescharacteristic, complemented
348C2×C61—82no—
349C2×C61—82no—
350C2×C61#239211yescharacteristic
351C2×C61#304311yescharacteristic
352C2×C61#304511yescharacteristic
353C2×C61#311811yescharacteristic
354C2×C61#312311yescharacteristic
355C2×C61#317411yescharacteristic
356C2×C61#317911yescharacteristic
357C22×SD16C22×C6111yescharacteristic
358C22×SD16C22×C6111yescharacteristic
359C2×#127C22×C6111yescharacteristic
360C2×C4×Q8C22×C6111yescharacteristic
361C2×C4×D4C22×C6111yescharacteristic
362C2×C4×D4C22×C6111yescharacteristic
363#440—24no—
364C4×SD16—24no—
365C2×#107C22×C6111yescharacteristic
366C2×#106C22×C6111yescharacteristic
367C2×C4⋊C8C22×C6111yescharacteristic
368C2×C4⋊C8C22×C6111yescharacteristic
369C2×#103C22×C6111yescharacteristic
370C2×#103C22×C6111yescharacteristic
371C2×#102C22×C6111yescharacteristic
372C2×#102C22×C6111yescharacteristic
373C2×#102C22×C6111yescharacteristic
374C2×#102C22×C6111yescharacteristic
375C2×#102C22×C6111yescharacteristic
376C2×#102C22×C6111yescharacteristic
377C2×#97C22×C6111yescharacteristic
378C2×C4×C8C22×C6111yescharacteristic
379#391C22×C6111yescharacteristic
380#391C22×C6111yescharacteristic
381#390C22×C6111yescharacteristic
382#390C22×C6111yescharacteristic
383#389C22×C6111yescharacteristic
384#389C22×C6111yescharacteristic
385#387—21no—
386#387—21no—
387#386—21no—
388#386—21no—
389#386—21no—
390#386—21no—
391#383—21no—
392#382—21no—
393#382C22×C6111yescharacteristic
394C4×C4⋊C4C22×C6111yescharacteristic
395#376C22×C6111yescharacteristic
396#340C22×C6111yescharacteristic
397#340C22×C6111yescharacteristic
398#340C22×C6111yescharacteristic
399#340C22×C6111yescharacteristic
400#336C22×C6111yescharacteristic
401#336C22×C6111yescharacteristic
402C61#2369011yescharacteristic, direct product factor, Sylow
403C22×Q8C23×C6111yescharacteristic
404C22×D4—21no—
405C22×D4—21no—
406C22×D4C23×C6111yescharacteristic
407C22×D4C23×C6111yescharacteristic
408C23×C4—21no—
409C23×C4—21no—
410C2×SD16—22no—
411C2×SD16—22no—
412C2×SD16—22no—
413C2×SD16—22no—
414C2×SD16—22no—
415C2×SD16—22no—
416C22×C8C23×C6111yescharacteristic
417C22×C8C23×C6111yescharacteristic
418C22×C8C23×C6111yescharacteristic
419C22×C8C23×C6111yescharacteristic
420#127—22no—
421#127—22no—
422C4×Q8—22no—
423C4×Q8D4×C6114yescomplemented
424C4×D4—22no—
425C4×D4—22no—
426C4×D4—22no—
427C4×D4—22no—
428C2×C4⋊C4—21no—
429C2×C4⋊C4—21no—
430C2×C4⋊C4—21no—
431C2×C4⋊C4C23×C6111yescharacteristic
432C2×C4⋊C4C23×C6111yescharacteristic
433C2×C4⋊C4C23×C6111yescharacteristic
434C2×C4⋊C4C23×C6111yescharacteristic
435C2×C4⋊C4C23×C6111yescharacteristic
436C2×C22⋊C4—21no—
437C2×C22⋊C4—21no—
438C2×C22⋊C4—21no—
439C2×C22⋊C4—21no—
440C2×C22⋊C4—21no—
441C2×C22⋊C4—21no—
442C2×C42—21no—
443C2×C42—21no—
444C2×C42C23×C6111yescharacteristic
445C2×C42C23×C6111yescharacteristic
446C2×C42C23×C6111yescharacteristic
447#107—22no—
448#106—22no—
449C4⋊C8—22no—
450C4⋊C8—22no—
451#103—22no—
452#103—22no—
453#102—22no—
454#102—22no—
455#102—22no—
456#102—22no—
457#102—22no—
458#102—22no—
459#97—22no—
460C4×C8—22no—
461#95—21no—
462#95—21no—
463#95—21no—
464#95—21no—
465#95—21no—
466#95—21no—
467#95—21no—
468#95—21no—
469#95—21no—
470#95D4×C6111yescharacteristic
471#95D4×C6111yescharacteristic
472#95D4×C6111yescharacteristic
473#95D4×C6111yescharacteristic
474C24—21no—
475C24—21no—
476C2×Q8—21no—
477C2×Q8—21no—
478C2×Q8—21no—
479C2×Q8—21no—
480C2×Q8—21no—
481C2×Q8C2×D4×C6112yes—
482C2×D4—24no—
483C2×D4—24no—
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—21no—
493C2×D4—21no—
494C2×D4—81no—
495C2×D4—81no—
496C2×D4—81no—
497C2×D4—81no—
498C2×D4#41×C6112yes—
499C2×D4#41×C6112yes—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—81no—
509C22×C4—81no—
510C22×C4—81no—
511C22×C4—81no—
512C22×C4C2×D4×C6111yescharacteristic
513C22×C4C2×D4×C6111yescharacteristic
514C22×C4C2×D4×C6111yescharacteristic
515C22×C4C2×D4×C6111yescharacteristic
516C22×C4C2×D4×C6111yescharacteristic
517C22×C4C2×D4×C6111yescharacteristic
518C22×C4C24×C6111yescharacteristic
519SD16—28no—
520SD16—28no—
521C2×C8—21no—
522C2×C8—21no—
523C2×C8—21no—
524C2×C8—21no—
525C2×C8—21no—
526C2×C8—21no—
527C2×C8—21no—
528C2×C8—21no—
529C2×C8—21no—
530C2×C8—21no—
531C2×C8#41×C6112yes—
532C2×C8#41×C6112yes—
533C4⋊C4—24no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—21no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—21no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—81no—
544C4⋊C4—81no—
545C4⋊C4C2×D4×C6112yes—
546C22⋊C4—42no—
547C22⋊C4—42no—
548C22⋊C4—81no—
549C22⋊C4—81no—
550C22⋊C4—81no—
551C22⋊C4—81no—
552C42—24no—
553C42—21no—
554C42—21no—
555C42—21no—
556C42—21no—
557C42—81no—
558C42C2×D4×C6112yes—
559C42#41×C6112yes—
560C23—22no—
561C23—22no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—41no—
567C23—41no—
568C23—41no—
569C23—41no—
570C23—41no—
571C23—41no—
572C23—41no—
573C23—41no—
574C23C22×D4×C6111yescharacteristic
575Q8—22no—
576Q8—22no—
577Q8—41no—
578Q8—41no—
579D4—22no—
580D4—22no—
581D4—22no—
582D4—22no—
583D4—41no—
584D4—41no—
585D4—41no—
586D4—41no—
587D4—84no—
588D4—84no—
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—21no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—21no—
606C2×C4—21no—
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—41no—
622C2×C4—41no—
623C2×C4—84no—
624C2×C4—84no—
625C2×C4#121×C6112yes—
626C2×C4#121×C6112yes—
627C2×C4C22×D4×C6111yescharacteristic
628C2×C4C2×#41×C6111yescharacteristic
629C2×C4C2×#41×C6111yescharacteristic
630C2×C4C2×#41×C6111yescharacteristic
631C2×C4C2×#41×C6111yescharacteristic
632C2×C4C2×#41×C6111yescharacteristic
633C8—22no—
634C8—22no—
635C8—41no—
636C8—41no—
637C22—42no—
638C22—42no—
639C22—42no—
640C22—42no—
641C22—42no—
642C22—42no—
643C22—81no—
644C22—81no—
645C22—81no—
646C22—81no—
647C22—81no—
648C22—81no—
649C22—81no—
650C22—81no—
651C22C2×#121×C6111yescharacteristic
652C22C61×#52511yescharacteristic
653C22C61×#53211yescharacteristic
654C22C61×#57611yescharacteristic
655C22C61×#57711yescharacteristic
656C22C61×#57711yescharacteristic
657C22C61×#57711yescharacteristic
658C4—22no—
659C4—22no—
660C4—42no—
661C4—41no—
662C4—41no—
663C4—42no—
664C4—41no—
665C4—41no—
666C4—81no—
667C4—81no—
668C4—81no—
669C4—81no—
670C4C61×#52511yescharacteristic
671C4C61×#52511yescharacteristic
672C4C61×#52911yescharacteristic
673C4C61×#52911yescharacteristic
674C2—82no—
675C2—82no—
676C2C61×#239211yescharacteristic
677C2C61×#304311yescharacteristic
678C2C61×#304511yescharacteristic
679C2C61×#311811yescharacteristic
680C2C61×#312311yescharacteristic
681C2C61×#317411yescharacteristic
682C2C61×#317911yescharacteristic
subgroupG/H
center, socleC23×C61C22×D4
commutator, Frattini, cosocleC22×C4C24×C61
prime radicalC2×#127×C61C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23×C61 ◁ C61×#376 ◁ G

Complements

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

NH ≅ G/Ntype
1. C2×C61×#440C2semidirect
2. C2×C4×SD16×C61C2semidirect
4. C61×#2320C2semidirect
5. C61×#2085C2semidirect
6. C61×#2074C2semidirect
7. C61×#2067C2semidirect
8. C61×#2065C2semidirect
9. C61×#2055C2semidirect
10. C61×#2055C2semidirect
13. C61×#1768C2semidirect
14. C61×#1762C2semidirect
15. C4×#102×C61C2semidirect
81. C4×Q8×C61D4semidirect
295. #23690C61direct (N × H)
333. C2×#440C2×C61semidirect
334. C2×C4×SD16C2×C61semidirect
336. #2320C2×C61semidirect
337. #2085C2×C61semidirect
338. #2074C2×C61semidirect
339. #2067C2×C61semidirect
340. #2065C2×C61semidirect
341. #2055C2×C61semidirect
342. #2055C2×C61semidirect
345. #1768C2×C61semidirect
346. #1762C2×C61semidirect
347. C4×#102C2×C61semidirect
402. C61#23690direct (N × H)
423. C4×Q8D4×C61semidirect

Maximal subgroups

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

subgroupindex
C2×C61×#4402
C2×C4×SD16×C612
C61×#23282
C61×#23202
C61×#20852
C61×#20742
C61×#20672
C61×#20652
C61×#20552
C61×#20412
C61×#20142
C61×#17682
C61×#17622
C4×#102×C612
#2369061