Finite Group Databasebeta

← C61×#25198 #29528631

Subgroups — C61×#25198 #29528631

Order 15616.

958 conjugacy classes of subgroups.

The subgroup lattice has 716 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C61×#3069C211yesmaximal, characteristic, complemented
2C61×#3069C211yesmaximal, characteristic, complemented
3C61×#3020C211yesmaximal, characteristic
4C2×C61×#456C211yesmaximal, characteristic, complemented
5C61×#2956C211yesmaximal, characteristic, complemented
6C61×#2889C211yesmaximal, characteristic, complemented
7C61×#2070C211yesmaximal, characteristic, complemented
8C61×#2050C211yesmaximal, characteristic, complemented
9C61×#2049C211yesmaximal, characteristic, complemented
10C61×#2005C211yesmaximal, characteristic, complemented
11C61×#1966C211yesmaximal, characteristic, complemented
12C61×#1932C211yesmaximal, characteristic, complemented
13C61×#1915C211yesmaximal, characteristic, complemented
14C61×#1902C211yesmaximal, characteristic, complemented
15C61×#1861C211yesmaximal, characteristic, complemented
16C2×2−1+4×C61C2211yescharacteristic
17C61×#575C2211yescharacteristic
18C61×#575C2211yescharacteristic
19C2×#137×C61C2211yescharacteristic
20C2×#137×C61C2211yescharacteristic
21C2×#137×C61C2211yescharacteristic
22C61×#568C2211yescharacteristic
23C61×#568C2211yescharacteristic
24C61×#568C2211yescharacteristic
25C61×#536C2211yescharacteristic
26C2×C4⋊Q8×C61C2211yescharacteristic
27C61×#473—22no—
28C61×#473—22no—
29C61×#471—22no—
30C61×#471—22no—
31C61×#456—22no—
32C61×#456—22no—
33C61×#456—22no—
34C61×#454—22no—
35C61×#444—22no—
36C61×#443—22no—
37C61×#430C2211yescharacteristic
38C61×#430C2211yescharacteristic
39C61×#430C2211yescharacteristic
40C61×#423C2211yescharacteristic
41C61×#421C2211yescharacteristic
42C61×#421C2211yescharacteristic
43C2×#104×C61C2211yescharacteristic
44C2×#104×C61C2211yescharacteristic
45C2×#104×C61C2211yescharacteristic
46C61×#419C2211yescharacteristic
47C61×#413—22no—
48C61×#413C2211yescharacteristic
49C61×#413C2211yescharacteristic
50C61×#413C2211yescharacteristic
51C2×#101×C61—22no—
52C2×#101×C61C2211yescharacteristic
53C2×#101×C61C2211yescharacteristic
54C2×#101×C61C2211yescharacteristic
55C2×#101×C61C2211yescharacteristic
56C2×#101×C61C2211yescharacteristic
57C2×#101×C61C2211yescharacteristic
58C4×M16×C61C2211yescharacteristic
59C61×#344C2211yescharacteristic
60C61×#344C2211yescharacteristic
61C61×#339C2211yescharacteristic
62C61×#338C2211yescharacteristic
632−1+4×C61—22no—
642−1+4×C61—22no—
652−1+4×C61—41no—
662−1+4×C61—41no—
67C2×#41×C61—21no—
68C2×#41×C61—21no—
69C2×#41×C61—22no—
70C2×#41×C61C2311yescharacteristic
71C2×#41×C61C2311yescharacteristic
72C2×#41×C61C2311yescharacteristic
73C22×Q8×C61—21no—
74C22×Q8×C61—21no—
75C22×Q8×C61C2311yescharacteristic
76C22×Q8×C61C2311yescharacteristic
77#137×C61—21no—
78#137×C61—22no—
79#137×C61—22no—
80#137×C61—21no—
81#137×C61—21no—
82#137×C61—22no—
83#137×C61—22no—
84#137×C61—41no—
85#137×C61—41no—
86#137×C61D412yes—
87AGL(1,ℤ/8)×C61—21no—
88AGL(1,ℤ/8)×C61—21no—
89AGL(1,ℤ/8)×C61—21no—
90AGL(1,ℤ/8)×C61D412yes—
91#135×C61—22no—
92#135×C61—41no—
93C2×Q16×C61—21no—
94C2×Q16×C61—21no—
95C2×Q16×C61—21no—
96C2×SD16×C61—21no—
97C2×SD16×C61—21no—
98C2×SD16×C61—21no—
99#131×C61—22no—
100#131×C61—22no—
101#131×C61—22no—
102#131×C61—22no—
103#131×C61—41no—
104#131×C61—41no—
105C2×M16×C61—22no—
106C2×M16×C61—22no—
107C2×M16×C61—41no—
108C2×M16×C61C2311yescharacteristic
109C2×M16×C61C2311yescharacteristic
110C2×M16×C61C2311yescharacteristic
111C2×M16×C61C2311yescharacteristic
112C2×M16×C61C2311yescharacteristic
113C2×M16×C61C2311yescharacteristic
114C2×M16×C61C2311yescharacteristic
115C2×M16×C61C2311yescharacteristic
116C4⋊Q8×C61—21no—
117C4⋊Q8×C61—21no—
118C4⋊Q8×C61—21no—
119C4⋊Q8×C61—41no—
120#124×C61—21no—
121#123×C61—22no—
122C22⋊Q8×C61—41no—
123#117×C61C2311yescharacteristic
124C2×C4⋊C4×C61—22no—
125C2×C42×C61C2311yescharacteristic
126#108×C61—22no—
127#108×C61—22no—
128#108×C61—22no—
129C4⋊C8×C61—41no—
130#104×C61—22no—
131#104×C61—22no—
132#104×C61—21no—
133#104×C61—21no—
134#104×C61—21no—
135#104×C61—21no—
136#104×C61D412yes—
137#104×C61D412yes—
138#103×C61—41no—
139#101×C61—21no—
140#101×C61—21no—
141#101×C61—22no—
142#101×C61—22no—
143#101×C61—22no—
144#101×C61—22no—
145#101×C61—22no—
146#101×C61—22no—
147#101×C61D412yes—
148#100×C61—21no—
149#100×C61—21no—
150#100×C61D412yes—
151#97×C61—21no—
152C4×C8×C61—21no—
153#41×C61—21no—
154#41×C61—21no—
155#41×C61—21no—
156#41×C61—21no—
157#41×C61—21no—
158#41×C61—21no—
159#41×C61—21no—
160#41×C61—21no—
161#41×C61—21no—
162#41×C61—21no—
163#41×C61—42no—
164#41×C61—42no—
165#41×C61—44no—
166#41×C61—44no—
167#41×C61—42no—
168#41×C61—42no—
169#41×C61C2×D412yes—
170#41×C61C2×D412yes—
171C2×Q8×C61—22no—
172C2×Q8×C61—21no—
173C2×Q8×C61—21no—
174C2×Q8×C61—21no—
175C2×Q8×C61—21no—
176C2×Q8×C61—21no—
177C2×Q8×C61—21no—
178C2×Q8×C61—21no—
179C2×Q8×C61—21no—
180C2×Q8×C61—21no—
181C2×Q8×C61—21no—
182C2×Q8×C61—21no—
183C2×Q8×C61—21no—
184C2×Q8×C61—42no—
185C2×Q8×C61—42no—
186C2×Q8×C61—42no—
187C2×Q8×C61—42no—
188C2×Q8×C61C2×D411yescharacteristic
189C2×Q8×C61C2×D411yescharacteristic
190C2×Q8×C61#4111yescharacteristic
191C2×D4×C61—21no—
192C2×D4×C61—22no—
193C2×D4×C61—21no—
194C2×D4×C61—21no—
195C2×D4×C61C2×D411yescharacteristic
196C2×D4×C61C2×D411yescharacteristic
197C2×D4×C61#4111yescharacteristic
198C22×C4×C61—21no—
199C22×C4×C61—22no—
200C22×C4×C61—22no—
201C22×C4×C61—21no—
202C22×C4×C61—21no—
203C22×C4×C61—21no—
204C22×C4×C61—21no—
205C22×C4×C61#4112yes—
206C22×C4×C61C2411yescharacteristic
207Q16×C61—22no—
208Q16×C61—42no—
209Q16×C61—42no—
210Q16×C61—41no—
211Q16×C61—42no—
212SD16×C61—22no—
213SD16×C61—22no—
214SD16×C61—42no—
215SD16×C61—42no—
216SD16×C61—41no—
217SD16×C61—41no—
218SD16×C61—42no—
219D8×C61—22no—
220D8×C61—41no—
221M16×C61—21no—
222M16×C61—21no—
223M16×C61—21no—
224M16×C61—21no—
225M16×C61—21no—
226M16×C61—21no—
227M16×C61—21no—
228M16×C61—21no—
229M16×C61—21no—
230M16×C61—21no—
231M16×C61—21no—
232M16×C61—21no—
233M16×C61—42no—
234M16×C61—42no—
235M16×C61—42no—
236M16×C61C2×D412yes—
237M16×C61C2×D412yes—
238M16×C61C2×D412yes—
239M16×C61C2×D412yes—
240C2×C8×C61—21no—
241C2×C8×C61—21no—
242C2×C8×C61—21no—
243C2×C8×C61—21no—
244C2×C8×C61—21no—
245C2×C8×C61—21no—
246C2×C8×C61—21no—
247C2×C8×C61—21no—
248C2×C8×C61—42no—
249C2×C8×C61—42no—
250C2×C8×C61—42no—
251C4⋊C4×C61—21no—
252C4⋊C4×C61—42no—
253C4⋊C4×C61—42no—
254C4⋊C4×C61—42no—
255C22⋊C4×C61—21no—
256C22⋊C4×C61—42no—
257C42×C61—21no—
258C42×C61—21no—
259C42×C61C2×D411yescharacteristic
260C42×C61C2×D411yescharacteristic
261C23×C61—21no—
262C23×C61—21no—
263C23×C61—21no—
264C23×C61C2×#4111yescharacteristic
265Q8×C61—21no—
266Q8×C61—21no—
267Q8×C61—21no—
268Q8×C61—21no—
269Q8×C61—21no—
270Q8×C61—44no—
271Q8×C61—41no—
272Q8×C61—41no—
273Q8×C61—41no—
274Q8×C61—41no—
275Q8×C61—41no—
276Q8×C61—41no—
277Q8×C61—41no—
278Q8×C61—41no—
279Q8×C61#12112yes—
280D4×C61—22no—
281D4×C61—22no—
282D4×C61—21no—
283D4×C61—21no—
284D4×C61—21no—
285D4×C61—21no—
286D4×C61—21no—
287D4×C61—44no—
288D4×C61—41no—
289D4×C61—41no—
290D4×C61—41no—
291D4×C61—41no—
292D4×C61#12112yes—
293C2×C4×C61—21no—
294C2×C4×C61—21no—
295C2×C4×C61—22no—
296C2×C4×C61—22no—
297C2×C4×C61—21no—
298C2×C4×C61—22no—
299C2×C4×C61—21no—
300C2×C4×C61—22no—
301C2×C4×C61—21no—
302C2×C4×C61—22no—
303C2×C4×C61—42no—
304C2×C4×C61—44no—
305C2×C4×C61—44no—
306C2×C4×C61—41no—
307C2×C4×C61—41no—
308C2×C4×C61—41no—
309C2×C4×C61—41no—
310C2×C4×C61—41no—
311C2×C4×C61—41no—
312C2×C4×C61—41no—
313C2×C4×C61—41no—
314C2×C4×C61C22×D411yescharacteristic
315C2×C4×C61C22×D411yescharacteristic
316C2×C4×C61C22×D411yescharacteristic
317C2×C4×C61C2×#4111yescharacteristic
318C2×C4×C61H(5,𝔽2)11yescharacteristic
319C2×C4×C61H(5,𝔽2)11yescharacteristic
320C8×C61—22no—
321C8×C61—22no—
322C8×C61—22no—
323C8×C61—22no—
324C8×C61—41no—
325C8×C61—41no—
326C8×C61—41no—
327C8×C61—41no—
328#25198C6111yesmaximal, characteristic, direct product factor, Sylow
329C22×C61—22no—
330C22×C61—41no—
331C22×C61—41no—
332C22×C61—41no—
333C22×C61—81no—
334C22×C61—81no—
335C22×C61—81no—
336C22×C61#52511yescharacteristic
337C22×C61#54611yescharacteristic
338C22×C61#54611yescharacteristic
339C4×C61—22no—
340C4×C61—22no—
341C4×C61—41no—
342C4×C61—42no—
343C4×C61—41no—
344C4×C61—41no—
345C4×C61—81no—
346C4×C61—81no—
347C4×C61C2×#12111yescharacteristic
348C4×C61#53811yescharacteristic
349C4×C61D4211yescharacteristic
350C4×C61D4211yescharacteristic
351#3069C2×C6111yescharacteristic, complemented
352#3069C2×C6111yescharacteristic, complemented
353#3020C2×C6111yescharacteristic
354C2×#456C2×C6111yescharacteristic, complemented
355#2956C2×C6111yescharacteristic, complemented
356#2889C2×C6111yescharacteristic, complemented
357#2070C2×C6111yescharacteristic, complemented
358#2050C2×C6111yescharacteristic, complemented
359#2049C2×C6111yescharacteristic, complemented
360#2005C2×C6111yescharacteristic, complemented
361#1966C2×C6111yescharacteristic, complemented
362#1932C2×C6111yescharacteristic, complemented
363#1915C2×C6111yescharacteristic, complemented
364#1902C2×C6111yescharacteristic, complemented
365#1861C2×C6111yescharacteristic, complemented
366C2×C61—21no—
367C2×C61—21no—
368C2×C61—21no—
369C2×C61—42no—
370C2×C61—81no—
371C2×C61—81no—
372C2×C61#242411yescharacteristic
373C2×2−1+4C22×C6111yescharacteristic
374#575C22×C6111yescharacteristic
375#575C22×C6111yescharacteristic
376C2×#137C22×C6111yescharacteristic
377C2×#137C22×C6111yescharacteristic
378C2×#137C22×C6111yescharacteristic
379#568C22×C6111yescharacteristic
380#568C22×C6111yescharacteristic
381#568C22×C6111yescharacteristic
382#536C22×C6111yescharacteristic
383C2×C4⋊Q8C22×C6111yescharacteristic
384#473—22no—
385#473—22no—
386#471—22no—
387#471—22no—
388#456—22no—
389#456—22no—
390#456—22no—
391#454—22no—
392#444—22no—
393#443—22no—
394#430C22×C6111yescharacteristic
395#430C22×C6111yescharacteristic
396#430C22×C6111yescharacteristic
397#423C22×C6111yescharacteristic
398#421C22×C6111yescharacteristic
399#421C22×C6111yescharacteristic
400C2×#104C22×C6111yescharacteristic
401C2×#104C22×C6111yescharacteristic
402C2×#104C22×C6111yescharacteristic
403#419C22×C6111yescharacteristic
404#413—22no—
405#413C22×C6111yescharacteristic
406#413C22×C6111yescharacteristic
407#413C22×C6111yescharacteristic
408C2×#101—22no—
409C2×#101C22×C6111yescharacteristic
410C2×#101C22×C6111yescharacteristic
411C2×#101C22×C6111yescharacteristic
412C2×#101C22×C6111yescharacteristic
413C2×#101C22×C6111yescharacteristic
414C2×#101C22×C6111yescharacteristic
415C4×M16C22×C6111yescharacteristic
416#344C22×C6111yescharacteristic
417#344C22×C6111yescharacteristic
418#339C22×C6111yescharacteristic
419#338C22×C6111yescharacteristic
420C61#2519811yescharacteristic, direct product factor, Sylow
4212−1+4—22no—
4222−1+4—22no—
4232−1+4—41no—
4242−1+4—41no—
425C2×#41—21no—
426C2×#41—21no—
427C2×#41—22no—
428C2×#41C23×C6111yescharacteristic
429C2×#41C23×C6111yescharacteristic
430C2×#41C23×C6111yescharacteristic
431C22×Q8—21no—
432C22×Q8—21no—
433C22×Q8C23×C6111yescharacteristic
434C22×Q8C23×C6111yescharacteristic
435#137—21no—
436#137—22no—
437#137—22no—
438#137—21no—
439#137—21no—
440#137—22no—
441#137—22no—
442#137—41no—
443#137—41no—
444#137D4×C6112yes—
445AGL(1,ℤ/8)—21no—
446AGL(1,ℤ/8)—21no—
447AGL(1,ℤ/8)—21no—
448AGL(1,ℤ/8)D4×C6112yes—
449#135—22no—
450#135—41no—
451C2×Q16—21no—
452C2×Q16—21no—
453C2×Q16—21no—
454C2×SD16—21no—
455C2×SD16—21no—
456C2×SD16—21no—
457#131—22no—
458#131—22no—
459#131—22no—
460#131—22no—
461#131—41no—
462#131—41no—
463C2×M16—22no—
464C2×M16—22no—
465C2×M16—41no—
466C2×M16C23×C6111yescharacteristic
467C2×M16C23×C6111yescharacteristic
468C2×M16C23×C6111yescharacteristic
469C2×M16C23×C6111yescharacteristic
470C2×M16C23×C6111yescharacteristic
471C2×M16C23×C6111yescharacteristic
472C2×M16C23×C6111yescharacteristic
473C2×M16C23×C6111yescharacteristic
474C4⋊Q8—21no—
475C4⋊Q8—21no—
476C4⋊Q8—21no—
477C4⋊Q8—41no—
478#124—21no—
479#123—22no—
480C22⋊Q8—41no—
481#117C23×C6111yescharacteristic
482C2×C4⋊C4—22no—
483C2×C42C23×C6111yescharacteristic
484#108—22no—
485#108—22no—
486#108—22no—
487C4⋊C8—41no—
488#104—22no—
489#104—22no—
490#104—21no—
491#104—21no—
492#104—21no—
493#104—21no—
494#104D4×C6112yes—
495#104D4×C6112yes—
496#103—41no—
497#101—21no—
498#101—21no—
499#101—22no—
500#101—22no—
501#101—22no—
502#101—22no—
503#101—22no—
504#101—22no—
505#101D4×C6112yes—
506#100—21no—
507#100—21no—
508#100D4×C6112yes—
509#97—21no—
510C4×C8—21no—
511#41—21no—
512#41—21no—
513#41—21no—
514#41—21no—
515#41—21no—
516#41—21no—
517#41—21no—
518#41—21no—
519#41—21no—
520#41—21no—
521#41—42no—
522#41—42no—
523#41—44no—
524#41—44no—
525#41—42no—
526#41—42no—
527#41C2×D4×C6112yes—
528#41C2×D4×C6112yes—
529C2×Q8—22no—
530C2×Q8—21no—
531C2×Q8—21no—
532C2×Q8—21no—
533C2×Q8—21no—
534C2×Q8—21no—
535C2×Q8—21no—
536C2×Q8—21no—
537C2×Q8—21no—
538C2×Q8—21no—
539C2×Q8—21no—
540C2×Q8—21no—
541C2×Q8—21no—
542C2×Q8—42no—
543C2×Q8—42no—
544C2×Q8—42no—
545C2×Q8—42no—
546C2×Q8C2×D4×C6111yescharacteristic
547C2×Q8C2×D4×C6111yescharacteristic
548C2×Q8#41×C6111yescharacteristic
549C2×D4—21no—
550C2×D4—22no—
551C2×D4—21no—
552C2×D4—21no—
553C2×D4C2×D4×C6111yescharacteristic
554C2×D4C2×D4×C6111yescharacteristic
555C2×D4#41×C6111yescharacteristic
556C22×C4—21no—
557C22×C4—22no—
558C22×C4—22no—
559C22×C4—21no—
560C22×C4—21no—
561C22×C4—21no—
562C22×C4—21no—
563C22×C4#41×C6112yes—
564C22×C4C24×C6111yescharacteristic
565Q16—22no—
566Q16—42no—
567Q16—42no—
568Q16—41no—
569Q16—42no—
570SD16—22no—
571SD16—22no—
572SD16—42no—
573SD16—42no—
574SD16—41no—
575SD16—41no—
576SD16—42no—
577D8—22no—
578D8—41no—
579M16—21no—
580M16—21no—
581M16—21no—
582M16—21no—
583M16—21no—
584M16—21no—
585M16—21no—
586M16—21no—
587M16—21no—
588M16—21no—
589M16—21no—
590M16—21no—
591M16—42no—
592M16—42no—
593M16—42no—
594M16C2×D4×C6112yes—
595M16C2×D4×C6112yes—
596M16C2×D4×C6112yes—
597M16C2×D4×C6112yes—
598C2×C8—21no—
599C2×C8—21no—
600C2×C8—21no—
601C2×C8—21no—
602C2×C8—21no—
603C2×C8—21no—
604C2×C8—21no—
605C2×C8—21no—
606C2×C8—42no—
607C2×C8—42no—
608C2×C8—42no—
609C4⋊C4—21no—
610C4⋊C4—42no—
611C4⋊C4—42no—
612C4⋊C4—42no—
613C22⋊C4—21no—
614C22⋊C4—42no—
615C42—21no—
616C42—21no—
617C42C2×D4×C6111yescharacteristic
618C42C2×D4×C6111yescharacteristic
619C23—21no—
620C23—21no—
621C23—21no—
622C23C2×#41×C6111yescharacteristic
623Q8—21no—
624Q8—21no—
625Q8—21no—
626Q8—21no—
627Q8—21no—
628Q8—44no—
629Q8—41no—
630Q8—41no—
631Q8—41no—
632Q8—41no—
633Q8—41no—
634Q8—41no—
635Q8—41no—
636Q8—41no—
637Q8#121×C6112yes—
638D4—22no—
639D4—22no—
640D4—21no—
641D4—21no—
642D4—21no—
643D4—21no—
644D4—21no—
645D4—44no—
646D4—41no—
647D4—41no—
648D4—41no—
649D4—41no—
650D4#121×C6112yes—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—21no—
656C2×C4—22no—
657C2×C4—21no—
658C2×C4—22no—
659C2×C4—21no—
660C2×C4—22no—
661C2×C4—42no—
662C2×C4—44no—
663C2×C4—44no—
664C2×C4—41no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4C22×D4×C6111yescharacteristic
673C2×C4C22×D4×C6111yescharacteristic
674C2×C4C22×D4×C6111yescharacteristic
675C2×C4C2×#41×C6111yescharacteristic
676C2×C4H(5,𝔽2)×C6111yescharacteristic
677C2×C4H(5,𝔽2)×C6111yescharacteristic
678C8—22no—
679C8—22no—
680C8—22no—
681C8—22no—
682C8—41no—
683C8—41no—
684C8—41no—
685C8—41no—
686C22—22no—
687C22—41no—
688C22—41no—
689C22—41no—
690C22—81no—
691C22—81no—
692C22—81no—
693C22C61×#52511yescharacteristic
694C22C61×#54611yescharacteristic
695C22C61×#54611yescharacteristic
696C4—22no—
697C4—22no—
698C4—41no—
699C4—42no—
700C4—41no—
701C4—41no—
702C4—81no—
703C4—81no—
704C4C2×#121×C6111yescharacteristic
705C4C61×#53811yescharacteristic
706C4D42×C6111yescharacteristic
707C4D42×C6111yescharacteristic
708C2—21no—
709C2—21no—
710C2—21no—
711C2—42no—
712C2—81no—
713C2—81no—
714C2C61×#242411yescharacteristic
subgroupG/H
center, socleC2×C61#2424
commutator, Frattini, cosocleC22×C4C24×C61
prime radicalC61×#3020C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C2×C61 ◁ C22×C4×C61 ◁ G

Complements

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

NH ≅ G/Ntype
1. C61×#3069C2semidirect
2. C61×#3069C2semidirect
4. C2×C61×#456C2semidirect
5. C61×#2956C2semidirect
6. C61×#2889C2semidirect
7. C61×#2070C2semidirect
8. C61×#2050C2semidirect
9. C61×#2049C2semidirect
10. C61×#2005C2semidirect
11. C61×#1966C2semidirect
12. C61×#1932C2semidirect
13. C61×#1915C2semidirect
14. C61×#1902C2semidirect
15. C61×#1861C2semidirect
328. #25198C61direct (N × H)
351. #3069C2×C61semidirect
352. #3069C2×C61semidirect
354. C2×#456C2×C61semidirect
355. #2956C2×C61semidirect
356. #2889C2×C61semidirect
357. #2070C2×C61semidirect
358. #2050C2×C61semidirect
359. #2049C2×C61semidirect
360. #2005C2×C61semidirect
361. #1966C2×C61semidirect
362. #1932C2×C61semidirect
363. #1915C2×C61semidirect
364. #1902C2×C61semidirect
365. #1861C2×C61semidirect
420. C61#25198direct (N × H)

Maximal subgroups

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

subgroupindex
C61×#30692
C61×#30202
C2×C61×#4562
C61×#29562
C61×#28892
C61×#20702
C61×#20502
C61×#20492
C61×#20052
C61×#19662
C61×#19322
C61×#19152
C61×#19022
C61×#18612
#2519861