Finite Group Databasebeta

← C61×#25265 #29528698

Subgroups — C61×#25265 #29528698

Order 15616.

728 conjugacy classes of subgroups.

The subgroup lattice has 690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3093C211yesmaximal, characteristic
2C2×C61×#485C211yesmaximal, characteristic, complemented
3C61×#3056C211yesmaximal, characteristic
4C61×#2933C211yesmaximal, characteristic
5C61×#2089C211yesmaximal, characteristic, complemented
6C61×#2079C211yesmaximal, characteristic, complemented
7C61×#2064C211yesmaximal, characteristic, complemented
8C61×#2052C211yesmaximal, characteristic, complemented
9C61×#1951C211yesmaximal, characteristic, complemented
10C61×#1930C211yesmaximal, characteristic, complemented
11C61×#1908C211yesmaximal, characteristic, complemented
12C61×#1901C211yesmaximal, characteristic, complemented
13C61×#1855C211yesmaximal, characteristic, complemented
14C61×#1816C211yesmaximal, characteristic, complemented
15C61×#1742C211yesmaximal, characteristic, complemented
16C2×#137×C61C2211yescharacteristic
17C2×#131×C61C2211yescharacteristic
18C22×M16×C61C2211yescharacteristic
19C22×M16×C61C2211yescharacteristic
20C61×#525C2211yescharacteristic
21C2×C22⋊Q8×C61C2211yescharacteristic
22C2×#117×C61C2211yescharacteristic
23C61×#485—21no—
24C61×#485—21no—
25C61×#485—21no—
26C61×#485—21no—
27C61×#485—21no—
28C61×#485—21no—
29C61×#482—21no—
30C61×#482—21no—
31C61×#470—21no—
32C61×#468—21no—
33C61×#467—21no—
34C61×#465—21no—
35C61×#436—21no—
36C61×#435—21no—
37C61×#435—21no—
38C8×D4×C61—21no—
39C2×#108×C61C2211yescharacteristic
40C2×#108×C61C2211yescharacteristic
41C61×#428C2211yescharacteristic
42C61×#428C2211yescharacteristic
43C61×#428C2211yescharacteristic
44C2×#107×C61C2211yescharacteristic
45C2×#106×C61C2211yescharacteristic
46C61×#424C2211yescharacteristic
47C61×#419C2211yescharacteristic
48C61×#417C2211yescharacteristic
49C61×#417C2211yescharacteristic
50C61×#417C2211yescharacteristic
51C2×#103×C61C2211yescharacteristic
52C2×#103×C61C2211yescharacteristic
53C2×#101×C61C2211yescharacteristic
54C2×#101×C61C2211yescharacteristic
55C61×#408C2211yescharacteristic
56C61×#407C2211yescharacteristic
57C2×C22⋊C8×C61C2211yescharacteristic
58C61×#405C2211yescharacteristic
59C61×#343C2211yescharacteristic
60C61×#343C2211yescharacteristic
61C61×#343C2211yescharacteristic
62C61×#343C2211yescharacteristic
63C61×#343C2211yescharacteristic
64C61×#343C2211yescharacteristic
65C61×#341C2211yescharacteristic
66C61×#341C2211yescharacteristic
67C2×#41×C61C2311yescharacteristic
68C22×Q8×C61C2311yescharacteristic
69C23×C4×C61C2311yescharacteristic
70#137×C61—22no—
71#137×C61—41no—
72C2×Q16×C61—21no—
73C2×SD16×C61—21no—
74#131×C61—22no—
75#131×C61—41no—
76C2×M16×C61—21no—
77C2×M16×C61—21no—
78C2×M16×C61—21no—
79C2×M16×C61—22no—
80C2×M16×C61—22no—
81C2×M16×C61—41no—
82C2×M16×C61—41no—
83C2×M16×C61C2311yescharacteristic
84C2×M16×C61C2311yescharacteristic
85C2×M16×C61C2311yescharacteristic
86C2×M16×C61C2311yescharacteristic
87C2×M16×C61C2311yescharacteristic
88C2×M16×C61C2311yescharacteristic
89C22×C8×C61—21no—
90C22×C8×C61—21no—
91C22×C8×C61—21no—
92C22×C8×C61C2311yescharacteristic
93C22×C8×C61C2311yescharacteristic
94#123×C61—21no—
95C22⋊Q8×C61—21no—
96C22⋊Q8×C61—21no—
97C22⋊Q8×C61—21no—
98C22⋊Q8×C61—21no—
99C22⋊Q8×C61D411yescharacteristic
100C22⋊Q8×C61D411yescharacteristic
101#121×C61D411yescharacteristic
102#121×C61D411yescharacteristic
103#120×C61—21no—
104C4×D4×C61—21no—
105C4×D4×C61—21no—
106#117×C61—21no—
107#117×C61—21no—
108#117×C61—21no—
109#117×C61—21no—
110#117×C61C2311yescharacteristic
111C2×C4⋊C4×C61—21no—
112C2×C4⋊C4×C61C2311yescharacteristic
113C2×C4⋊C4×C61C2311yescharacteristic
114C2×C4⋊C4×C61C2311yescharacteristic
115C2×C22⋊C4×C61—21no—
116C2×C22⋊C4×C61—21no—
117C2×C42×C61—21no—
118#108×C61—22no—
119#108×C61—41no—
120#107×C61—21no—
121#107×C61—21no—
122#107×C61—21no—
123#107×C61—21no—
124#107×C61—21no—
125#106×C61—21no—
126#106×C61—21no—
127#106×C61—21no—
128#106×C61—21no—
129#106×C61—21no—
130C4⋊C8×C61—21no—
131C4⋊C8×C61—21no—
132#103×C61—21no—
133#103×C61—21no—
134#103×C61—21no—
135#103×C61—21no—
136#103×C61—21no—
137#103×C61—21no—
138#103×C61—21no—
139#103×C61—21no—
140#103×C61—21no—
141#102×C61—21no—
142#102×C61—21no—
143#102×C61—21no—
144#101×C61—22no—
145#101×C61—41no—
146C22⋊C8×C61—21no—
147C22⋊C8×C61—21no—
148C22⋊C8×C61—21no—
149C22⋊C8×C61—21no—
150C22⋊C8×C61D411yescharacteristic
151C22⋊C8×C61D411yescharacteristic
152C22⋊C8×C61D411yescharacteristic
153C22⋊C8×C61D411yescharacteristic
154#97×C61—21no—
155C4×C8×C61—21no—
156C24×C61#4111yescharacteristic
157#41×C61—21no—
158#41×C61—21no—
159#41×C61—21no—
160#41×C61—21no—
161C2×Q8×C61—21no—
162C2×Q8×C61—21no—
163C2×Q8×C61—21no—
164C2×Q8×C61—21no—
165C2×Q8×C61—21no—
166C2×Q8×C61—21no—
167C2×Q8×C61C2×D411yescharacteristic
168C2×D4×C61—21no—
169C2×D4×C61—21no—
170C2×D4×C61—21no—
171C2×D4×C61C2×D411yescharacteristic
172C22×C4×C61—21no—
173C22×C4×C61—21no—
174C22×C4×C61—21no—
175C22×C4×C61—21no—
176C22×C4×C61—21no—
177C22×C4×C61—21no—
178C22×C4×C61—21no—
179C22×C4×C61—21no—
180C22×C4×C61—21no—
181C22×C4×C61C2×D411yescharacteristic
182C22×C4×C61C2×D411yescharacteristic
183C22×C4×C61C2×D411yescharacteristic
184C22×C4×C61C2×D411yescharacteristic
185C22×C4×C61#4111yescharacteristic
186C22×C4×C61C2411yescharacteristic
187Q16×C61—42no—
188SD16×C61—42no—
189M16×C61—21no—
190M16×C61—21no—
191M16×C61—21no—
192M16×C61—21no—
193M16×C61—21no—
194M16×C61—21no—
195M16×C61—21no—
196M16×C61—21no—
197M16×C61—21no—
198M16×C61—21no—
199M16×C61—42no—
200M16×C61—42no—
201M16×C61—42no—
202M16×C61#4112yes—
203M16×C61#4112yes—
204C2×C8×C61—21no—
205C2×C8×C61—21no—
206C2×C8×C61—21no—
207C2×C8×C61—21no—
208C2×C8×C61—21no—
209C2×C8×C61—21no—
210C2×C8×C61—21no—
211C2×C8×C61—21no—
212C2×C8×C61—21no—
213C2×C8×C61—21no—
214C2×C8×C61—42no—
215C2×C8×C61—42no—
216C2×C8×C61—42no—
217C2×C8×C61C2×D411yescharacteristic
218C2×C8×C61C2×D411yescharacteristic
219C2×C8×C61C2×D411yescharacteristic
220C2×C8×C61C2×D411yescharacteristic
221C4⋊C4×C61—21no—
222C4⋊C4×C61—21no—
223C4⋊C4×C61—21no—
224C4⋊C4×C61—21no—
225C4⋊C4×C61—21no—
226C4⋊C4×C61—21no—
227C4⋊C4×C61—21no—
228C4⋊C4×C61—21no—
229C4⋊C4×C61—41no—
230C4⋊C4×C61—41no—
231C4⋊C4×C61C2×D411yescharacteristic
232C4⋊C4×C61C2×D411yescharacteristic
233C22⋊C4×C61—21no—
234C22⋊C4×C61—21no—
235C22⋊C4×C61—21no—
236C22⋊C4×C61—21no—
237C22⋊C4×C61—21no—
238C22⋊C4×C61—41no—
239C22⋊C4×C61—41no—
240C22⋊C4×C61—41no—
241C22⋊C4×C61—41no—
242C42×C61—21no—
243C42×C61—41no—
244C42×C61—41no—
245C23×C61—21no—
246C23×C61—21no—
247C23×C61—21no—
248C23×C61—41no—
249C23×C61—41no—
250C23×C61#12111yescharacteristic
251C23×C61#12111yescharacteristic
252C23×C61C2×#4111yescharacteristic
253Q8×C61—21no—
254Q8×C61—21no—
255Q8×C61—41no—
256Q8×C61—41no—
257Q8×C61—41no—
258Q8×C61—41no—
259D4×C61—21no—
260D4×C61—21no—
261D4×C61—42no—
262D4×C61—41no—
263D4×C61—41no—
264D4×C61—81no—
265C2×C4×C61—21no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—21no—
270C2×C4×C61—21no—
271C2×C4×C61—21no—
272C2×C4×C61—21no—
273C2×C4×C61—21no—
274C2×C4×C61—21no—
275C2×C4×C61—21no—
276C2×C4×C61—21no—
277C2×C4×C61—21no—
278C2×C4×C61—41no—
279C2×C4×C61—41no—
280C2×C4×C61—41no—
281C2×C4×C61—41no—
282C2×C4×C61—41no—
283C2×C4×C61—41no—
284C2×C4×C61—41no—
285C2×C4×C61—41no—
286C2×C4×C61—81no—
287C2×C4×C61—81no—
288C2×C4×C61—81no—
289C2×C4×C61#12111yescharacteristic
290C2×C4×C61#12111yescharacteristic
291C2×C4×C61C22×D411yescharacteristic
292C2×C4×C61C22×D411yescharacteristic
293C2×C4×C61C2×#4111yescharacteristic
294C2×C4×C61C2×#4111yescharacteristic
295C2×C4×C61H(5,𝔽2)11yescharacteristic
296C2×C4×C612−1+411yescharacteristic
297C8×C61—21no—
298C8×C61—21no—
299C8×C61—22no—
300C8×C61—22no—
301C8×C61—21no—
302C8×C61—21no—
303C8×C61—41no—
304C8×C61—41no—
305C8×C61—41no—
306C8×C61—41no—
307#25265C6111yesmaximal, characteristic, direct product factor, Sylow
308C22×C61—21no—
309C22×C61—21no—
310C22×C61—21no—
311C22×C61—21no—
312C22×C61—21no—
313C22×C61—21no—
314C22×C61—21no—
315C22×C61—21no—
316C22×C61—41no—
317C22×C61—41no—
318C22×C61—41no—
319C22×C61—81no—
320C22×C61—81no—
321C22×C61C2×#12111yescharacteristic
322C22×C61#52911yescharacteristic
323C22×C61#53911yescharacteristic
324C4×C61—21no—
325C4×C61—21no—
326C4×C61—41no—
327C4×C61—41no—
328C4×C61—41no—
329C4×C61—81no—
330C4×C61—81no—
331C4×C61—81no—
332C4×C61—81no—
333C4×C61#54611yescharacteristic
334C4×C61#54611yescharacteristic
335C4×C61#54711yescharacteristic
336C4×C61#54711yescharacteristic
337#3093C2×C6111yescharacteristic
338C2×#485C2×C6111yescharacteristic, complemented
339#3056C2×C6111yescharacteristic
340#2933C2×C6111yescharacteristic
341#2089C2×C6111yescharacteristic, complemented
342#2079C2×C6111yescharacteristic, complemented
343#2064C2×C6111yescharacteristic, complemented
344#2052C2×C6111yescharacteristic, complemented
345#1951C2×C6111yescharacteristic, complemented
346#1930C2×C6111yescharacteristic, complemented
347#1908C2×C6111yescharacteristic, complemented
348#1901C2×C6111yescharacteristic, complemented
349#1855C2×C6111yescharacteristic, complemented
350#1816C2×C6111yescharacteristic, complemented
351#1742C2×C6111yescharacteristic, complemented
352C2×C61—21no—
353C2×C61—21no—
354C2×C61—41no—
355C2×C61—41no—
356C2×C61—81no—
357C2×C61#242511yescharacteristic
358C2×C61#306711yescharacteristic
359C2×C61#306911yescharacteristic
360C2×#137C22×C6111yescharacteristic
361C2×#131C22×C6111yescharacteristic
362C22×M16C22×C6111yescharacteristic
363C22×M16C22×C6111yescharacteristic
364#525C22×C6111yescharacteristic
365C2×C22⋊Q8C22×C6111yescharacteristic
366C2×#117C22×C6111yescharacteristic
367#485—21no—
368#485—21no—
369#485—21no—
370#485—21no—
371#485—21no—
372#485—21no—
373#482—21no—
374#482—21no—
375#470—21no—
376#468—21no—
377#467—21no—
378#465—21no—
379#436—21no—
380#435—21no—
381#435—21no—
382C8×D4—21no—
383C2×#108C22×C6111yescharacteristic
384C2×#108C22×C6111yescharacteristic
385#428C22×C6111yescharacteristic
386#428C22×C6111yescharacteristic
387#428C22×C6111yescharacteristic
388C2×#107C22×C6111yescharacteristic
389C2×#106C22×C6111yescharacteristic
390#424C22×C6111yescharacteristic
391#419C22×C6111yescharacteristic
392#417C22×C6111yescharacteristic
393#417C22×C6111yescharacteristic
394#417C22×C6111yescharacteristic
395C2×#103C22×C6111yescharacteristic
396C2×#103C22×C6111yescharacteristic
397C2×#101C22×C6111yescharacteristic
398C2×#101C22×C6111yescharacteristic
399#408C22×C6111yescharacteristic
400#407C22×C6111yescharacteristic
401C2×C22⋊C8C22×C6111yescharacteristic
402#405C22×C6111yescharacteristic
403#343C22×C6111yescharacteristic
404#343C22×C6111yescharacteristic
405#343C22×C6111yescharacteristic
406#343C22×C6111yescharacteristic
407#343C22×C6111yescharacteristic
408#343C22×C6111yescharacteristic
409#341C22×C6111yescharacteristic
410#341C22×C6111yescharacteristic
411C61#2526511yescharacteristic, direct product factor, Sylow
412C2×#41C23×C6111yescharacteristic
413C22×Q8C23×C6111yescharacteristic
414C23×C4C23×C6111yescharacteristic
415#137—22no—
416#137—41no—
417C2×Q16—21no—
418C2×SD16—21no—
419#131—22no—
420#131—41no—
421C2×M16—21no—
422C2×M16—21no—
423C2×M16—21no—
424C2×M16—22no—
425C2×M16—22no—
426C2×M16—41no—
427C2×M16—41no—
428C2×M16C23×C6111yescharacteristic
429C2×M16C23×C6111yescharacteristic
430C2×M16C23×C6111yescharacteristic
431C2×M16C23×C6111yescharacteristic
432C2×M16C23×C6111yescharacteristic
433C2×M16C23×C6111yescharacteristic
434C22×C8—21no—
435C22×C8—21no—
436C22×C8—21no—
437C22×C8C23×C6111yescharacteristic
438C22×C8C23×C6111yescharacteristic
439#123—21no—
440C22⋊Q8—21no—
441C22⋊Q8—21no—
442C22⋊Q8—21no—
443C22⋊Q8—21no—
444C22⋊Q8D4×C6111yescharacteristic
445C22⋊Q8D4×C6111yescharacteristic
446#121D4×C6111yescharacteristic
447#121D4×C6111yescharacteristic
448#120—21no—
449C4×D4—21no—
450C4×D4—21no—
451#117—21no—
452#117—21no—
453#117—21no—
454#117—21no—
455#117C23×C6111yescharacteristic
456C2×C4⋊C4—21no—
457C2×C4⋊C4C23×C6111yescharacteristic
458C2×C4⋊C4C23×C6111yescharacteristic
459C2×C4⋊C4C23×C6111yescharacteristic
460C2×C22⋊C4—21no—
461C2×C22⋊C4—21no—
462C2×C42—21no—
463#108—22no—
464#108—41no—
465#107—21no—
466#107—21no—
467#107—21no—
468#107—21no—
469#107—21no—
470#106—21no—
471#106—21no—
472#106—21no—
473#106—21no—
474#106—21no—
475C4⋊C8—21no—
476C4⋊C8—21no—
477#103—21no—
478#103—21no—
479#103—21no—
480#103—21no—
481#103—21no—
482#103—21no—
483#103—21no—
484#103—21no—
485#103—21no—
486#102—21no—
487#102—21no—
488#102—21no—
489#101—22no—
490#101—41no—
491C22⋊C8—21no—
492C22⋊C8—21no—
493C22⋊C8—21no—
494C22⋊C8—21no—
495C22⋊C8D4×C6111yescharacteristic
496C22⋊C8D4×C6111yescharacteristic
497C22⋊C8D4×C6111yescharacteristic
498C22⋊C8D4×C6111yescharacteristic
499#97—21no—
500C4×C8—21no—
501C24#41×C6111yescharacteristic
502#41—21no—
503#41—21no—
504#41—21no—
505#41—21no—
506C2×Q8—21no—
507C2×Q8—21no—
508C2×Q8—21no—
509C2×Q8—21no—
510C2×Q8—21no—
511C2×Q8—21no—
512C2×Q8C2×D4×C6111yescharacteristic
513C2×D4—21no—
514C2×D4—21no—
515C2×D4—21no—
516C2×D4C2×D4×C6111yescharacteristic
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—21no—
524C22×C4—21no—
525C22×C4—21no—
526C22×C4C2×D4×C6111yescharacteristic
527C22×C4C2×D4×C6111yescharacteristic
528C22×C4C2×D4×C6111yescharacteristic
529C22×C4C2×D4×C6111yescharacteristic
530C22×C4#41×C6111yescharacteristic
531C22×C4C24×C6111yescharacteristic
532Q16—42no—
533SD16—42no—
534M16—21no—
535M16—21no—
536M16—21no—
537M16—21no—
538M16—21no—
539M16—21no—
540M16—21no—
541M16—21no—
542M16—21no—
543M16—21no—
544M16—42no—
545M16—42no—
546M16—42no—
547M16#41×C6112yes—
548M16#41×C6112yes—
549C2×C8—21no—
550C2×C8—21no—
551C2×C8—21no—
552C2×C8—21no—
553C2×C8—21no—
554C2×C8—21no—
555C2×C8—21no—
556C2×C8—21no—
557C2×C8—21no—
558C2×C8—21no—
559C2×C8—42no—
560C2×C8—42no—
561C2×C8—42no—
562C2×C8C2×D4×C6111yescharacteristic
563C2×C8C2×D4×C6111yescharacteristic
564C2×C8C2×D4×C6111yescharacteristic
565C2×C8C2×D4×C6111yescharacteristic
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—21no—
571C4⋊C4—21no—
572C4⋊C4—21no—
573C4⋊C4—21no—
574C4⋊C4—41no—
575C4⋊C4—41no—
576C4⋊C4C2×D4×C6111yescharacteristic
577C4⋊C4C2×D4×C6111yescharacteristic
578C22⋊C4—21no—
579C22⋊C4—21no—
580C22⋊C4—21no—
581C22⋊C4—21no—
582C22⋊C4—21no—
583C22⋊C4—41no—
584C22⋊C4—41no—
585C22⋊C4—41no—
586C22⋊C4—41no—
587C42—21no—
588C42—41no—
589C42—41no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—41no—
594C23—41no—
595C23#121×C6111yescharacteristic
596C23#121×C6111yescharacteristic
597C23C2×#41×C6111yescharacteristic
598Q8—21no—
599Q8—21no—
600Q8—41no—
601Q8—41no—
602Q8—41no—
603Q8—41no—
604D4—21no—
605D4—21no—
606D4—42no—
607D4—41no—
608D4—41no—
609D4—81no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—41no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—81no—
632C2×C4—81no—
633C2×C4—81no—
634C2×C4#121×C6111yescharacteristic
635C2×C4#121×C6111yescharacteristic
636C2×C4C22×D4×C6111yescharacteristic
637C2×C4C22×D4×C6111yescharacteristic
638C2×C4C2×#41×C6111yescharacteristic
639C2×C4C2×#41×C6111yescharacteristic
640C2×C4H(5,𝔽2)×C6111yescharacteristic
641C2×C42−1+4×C6111yescharacteristic
642C8—21no—
643C8—21no—
644C8—22no—
645C8—22no—
646C8—21no—
647C8—21no—
648C8—41no—
649C8—41no—
650C8—41no—
651C8—41no—
652C22—21no—
653C22—21no—
654C22—21no—
655C22—21no—
656C22—21no—
657C22—21no—
658C22—21no—
659C22—21no—
660C22—41no—
661C22—41no—
662C22—41no—
663C22—81no—
664C22—81no—
665C22C2×#121×C6111yescharacteristic
666C22C61×#52911yescharacteristic
667C22C61×#53911yescharacteristic
668C4—21no—
669C4—21no—
670C4—41no—
671C4—41no—
672C4—41no—
673C4—81no—
674C4—81no—
675C4—81no—
676C4—81no—
677C4C61×#54611yescharacteristic
678C4C61×#54611yescharacteristic
679C4C61×#54711yescharacteristic
680C4C61×#54711yescharacteristic
681C2—21no—
682C2—21no—
683C2—41no—
684C2—41no—
685C2—81no—
686C2C61×#242511yescharacteristic
687C2C61×#306711yescharacteristic
688C2C61×#306911yescharacteristic
subgroupG/H
center, socleC22×C61C2×#121
commutator, Frattini, cosocleC22×C4C24×C61
prime radicalC61×#525C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C61 ◁ C23×C4×C61 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C61×#485C2semidirect
5. C61×#2089C2semidirect
6. C61×#2079C2semidirect
7. C61×#2064C2semidirect
8. C61×#2052C2semidirect
9. C61×#1951C2semidirect
10. C61×#1930C2semidirect
11. C61×#1908C2semidirect
12. C61×#1901C2semidirect
13. C61×#1855C2semidirect
14. C61×#1816C2semidirect
15. C61×#1742C2semidirect
307. #25265C61direct (N × H)
338. C2×#485C2×C61semidirect
341. #2089C2×C61semidirect
342. #2079C2×C61semidirect
343. #2064C2×C61semidirect
344. #2052C2×C61semidirect
345. #1951C2×C61semidirect
346. #1930C2×C61semidirect
347. #1908C2×C61semidirect
348. #1901C2×C61semidirect
349. #1855C2×C61semidirect
350. #1816C2×C61semidirect
351. #1742C2×C61semidirect
411. C61#25265direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#30932
C2×C61×#4852
C61×#30562
C61×#29332
C61×#20892
C61×#20792
C61×#20642
C61×#20522
C61×#19512
C61×#19302
C61×#19082
C61×#19012
C61×#18552
C61×#18162
C61×#17422
#2526561