Finite Group Databasebeta

← C61×#15120 #29518553

Subgroups — C61×#15120 #29518553

Order 15616.

1694 conjugacy classes of subgroups.

The subgroup lattice has 706 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C61×#390C211yesmaximal, characteristic
2C2×C61×#388C212yesmaximal, complemented
3C2×C61×#376C211yesmaximal, characteristic, complemented
4C61×#1444C211yesmaximal, characteristic, complemented
5C61×#1442C211yesmaximal, characteristic, complemented
6C61×#1440C212yesmaximal, complemented
7C61×#1439C212yesmaximal, complemented
8C61×#1438C211yesmaximal, characteristic
9C61×#1438C211yesmaximal, characteristic
10C61×#1437C212yesmaximal, complemented
11C61×#1434C211yesmaximal, characteristic, complemented
12C23×D4×C61C2211yescharacteristic
13C22×C4⋊C4×C61C2212yes—
14C22×C4⋊C4×C61C2211yescharacteristic
15C22×C22⋊C4×C61C2212yes—
16C22×C22⋊C4×C61C2212yes—
17C22×C22⋊C4×C61C2212yes—
18C22×C22⋊C4×C61C2212yes—
19C22×C22⋊C4×C61C2212yes—
20C22×C22⋊C4×C61C2212yes—
21C22×C42×C61C2211yescharacteristic
22C22×C42×C61C2211yescharacteristic
23C22×C42×C61C2211yescharacteristic
24C61×#390—24no—
25C61×#388—28no—
26C61×#376—24no—
27C2×#95×C61C2211yescharacteristic
28C2×#95×C61C2211yescharacteristic
29C2×#95×C61C2211yescharacteristic
30C2×#95×C61C2211yescharacteristic
31C2×#95×C61C2212yes—
32C2×#95×C61C2212yes—
33C2×#95×C61C2211yescharacteristic
34C2×#95×C61C2211yescharacteristic
35C2×#95×C61C2212yes—
36C2×#95×C61C2212yes—
37C2×#95×C61C2212yes—
38C25×C61C2312yes—
39C22×D4×C61—24no—
40C22×D4×C61—22no—
41C22×D4×C61—22no—
42C22×D4×C61—22no—
43C22×D4×C61—42no—
44C23×C4×C61C2312yes—
45C23×C4×C61C2312yes—
46C23×C4×C61C2311yescharacteristic
47C23×C4×C61C2311yescharacteristic
48C23×C4×C61C2311yescharacteristic
49C23×C4×C61C2311yescharacteristic
50C23×C4×C61C2311yescharacteristic
51C23×C4×C61C2312yes—
52C23×C4×C61C2311yescharacteristic
53C23×C4×C61C2311yescharacteristic
54C2×C4⋊C4×C61—24no—
55C2×C4⋊C4×C61—22no—
56C2×C4⋊C4×C61—42no—
57C2×C4⋊C4×C61—42no—
58C2×C4⋊C4×C61—42no—
59C2×C22⋊C4×C61—24no—
60C2×C22⋊C4×C61—24no—
61C2×C22⋊C4×C61—24no—
62C2×C22⋊C4×C61—24no—
63C2×C22⋊C4×C61—24no—
64C2×C22⋊C4×C61—24no—
65C2×C22⋊C4×C61—24no—
66C2×C22⋊C4×C61—24no—
67C2×C22⋊C4×C61—24no—
68C2×C22⋊C4×C61—24no—
69C2×C22⋊C4×C61—24no—
70C2×C22⋊C4×C61—24no—
71C2×C22⋊C4×C61—42no—
72C2×C22⋊C4×C61—42no—
73C2×C22⋊C4×C61—42no—
74C2×C22⋊C4×C61—42no—
75C2×C22⋊C4×C61—42no—
76C2×C22⋊C4×C61—42no—
77C2×C42×C61—22no—
78C2×C42×C61—22no—
79C2×C42×C61—22no—
80C2×C42×C61—22no—
81C2×C42×C61—22no—
82C2×C42×C61—22no—
83C2×C42×C61—22no—
84C2×C42×C61D414yes—
85C2×C42×C61D414yescomplemented
86#95×C61—22no—
87#95×C61—22no—
88#95×C61—22no—
89#95×C61—22no—
90#95×C61—24no—
91#95×C61—24no—
92#95×C61—22no—
93#95×C61—24no—
94#95×C61—22no—
95#95×C61—42no—
96#95×C61—42no—
97C24×C61—22no—
98C24×C61—22no—
99C24×C61—22no—
100C24×C61—22no—
101C24×C61—22no—
102C24×C61—22no—
103C24×C61—22no—
104C24×C61—22no—
105C24×C61—22no—
106C24×C61—22no—
107C24×C61—22no—
108C24×C61—22no—
109C24×C61—22no—
110C24×C61—22no—
111C24×C61#4114yes—
112C24×C61C2411yescharacteristic
113C2×D4×C61—28no—
114C2×D4×C61—48no—
115C2×D4×C61—48no—
116C2×D4×C61—44no—
117C2×D4×C61—44no—
118C22×C4×C61—21no—
119C22×C4×C61—21no—
120C22×C4×C61—21no—
121C22×C4×C61—21no—
122C22×C4×C61—22no—
123C22×C4×C61—22no—
124C22×C4×C61—21no—
125C22×C4×C61—21no—
126C22×C4×C61—21no—
127C22×C4×C61—21no—
128C22×C4×C61—22no—
129C22×C4×C61—22no—
130C22×C4×C61—22no—
131C22×C4×C61—21no—
132C22×C4×C61—21no—
133C22×C4×C61—21no—
134C22×C4×C61—21no—
135C22×C4×C61—21no—
136C22×C4×C61—21no—
137C22×C4×C61—22no—
138C22×C4×C61—22no—
139C22×C4×C61—22no—
140C22×C4×C61—22no—
141C22×C4×C61—22no—
142C22×C4×C61—22no—
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×C61—22no—
151C22×C4×C61—22no—
152C22×C4×C61—22no—
153C22×C4×C61—22no—
154C22×C4×C61—22no—
155C22×C4×C61—22no—
156C22×C4×C61—22no—
157C22×C4×C61—22no—
158C22×C4×C61—22no—
159C22×C4×C61—22no—
160C22×C4×C61—22no—
161C22×C4×C61—22no—
162C22×C4×C61—22no—
163C22×C4×C61—22no—
164C22×C4×C61C2×D412yes—
165C22×C4×C61C2×D412yes—
166C22×C4×C61C2×D412yes—
167C22×C4×C61C2×D412yes—
168C22×C4×C61C2×D412yes—
169C22×C4×C61C2×D412yes—
170C22×C4×C61#4114yes—
171C22×C4×C61#4112yes—
172C22×C4×C61#4112yes—
173C22×C4×C61#4112yes—
174C22×C4×C61#4112yes—
175C22×C4×C61#4112yes—
176C4⋊C4×C61—44no—
177C4⋊C4×C61—48no—
178C22⋊C4×C61—216no—
179C22⋊C4×C61—48no—
180C22⋊C4×C61—48no—
181C22⋊C4×C61—48no—
182C22⋊C4×C61—48no—
183C22⋊C4×C61—48no—
184C42×C61—28no—
185C42×C61—28no—
186C42×C61—28no—
187C23×C61—24no—
188C23×C61—24no—
189C23×C61—24no—
190C23×C61—24no—
191C23×C61—24no—
192C23×C61—24no—
193C23×C61—24no—
194C23×C61—42no—
195C23×C61—42no—
196C23×C61—42no—
197C23×C61—42no—
198C23×C61—42no—
199C23×C61—42no—
200C23×C61—42no—
201C23×C61—42no—
202C23×C61—42no—
203C23×C61—42no—
204C23×C61—42no—
205C23×C61—42no—
206C23×C61—42no—
207C23×C61—42no—
208C23×C61—42no—
209C23×C61—42no—
210C23×C61—42no—
211C23×C61—42no—
212C23×C61—42no—
213C23×C61—42no—
214C23×C61—42no—
215C23×C61—42no—
216C23×C61—42no—
217C23×C61—42no—
218C23×C61—42no—
219C23×C61—42no—
220C23×C61—42no—
221C23×C61—42no—
222C23×C61C22×D411yescharacteristic
223C23×C61C22×D411yescharacteristic
224C23×C61C2×#4111yescharacteristic
225C23×C61C2×#4111yescharacteristic
226C23×C61C2×#4111yescharacteristic
227C23×C61C2×#4112yes—
228C23×C61C2×#4111yescharacteristic
229C23×C61C2×#4111yescharacteristic
230C23×C61C2×#4112yes—
231C23×C61H(5,𝔽2)12yes—
232C23×C61H(5,𝔽2)12yes—
233D4×C61—416no—
234C2×C4×C61—22no—
235C2×C4×C61—22no—
236C2×C4×C61—22no—
237C2×C4×C61—22no—
238C2×C4×C61—22no—
239C2×C4×C61—22no—
240C2×C4×C61—22no—
241C2×C4×C61—22no—
242C2×C4×C61—24no—
243C2×C4×C61—24no—
244C2×C4×C61—22no—
245C2×C4×C61—22no—
246C2×C4×C61—22no—
247C2×C4×C61—22no—
248C2×C4×C61—22no—
249C2×C4×C61—24no—
250C2×C4×C61—24no—
251C2×C4×C61—22no—
252C2×C4×C61—22no—
253C2×C4×C61—24no—
254C2×C4×C61—24no—
255C2×C4×C61—24no—
256C2×C4×C61—24no—
257C2×C4×C61—24no—
258C2×C4×C61—41no—
259C2×C4×C61—41no—
260C2×C4×C61—42no—
261C2×C4×C61—42no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—42no—
265C2×C4×C61—41no—
266C2×C4×C61—41no—
267C2×C4×C61—41no—
268C2×C4×C61—41no—
269C2×C4×C61—42no—
270C2×C4×C61—42no—
271C2×C4×C61—42no—
272C2×C4×C61—42no—
273C2×C4×C61—42no—
274C2×C4×C61—42no—
275C2×C4×C61—42no—
276C2×C4×C61—42no—
277C2×C4×C61—42no—
278C2×C4×C61—42no—
279C2×C4×C61—42no—
280C2×C4×C61—42no—
281C2×C4×C61—42no—
282C2×C4×C61—42no—
283C2×C4×C61—42no—
284C2×C4×C61—42no—
285C2×C4×C61—42no—
286C2×C4×C61—42no—
287C2×C4×C61—42no—
288C2×C4×C61—42no—
289C2×C4×C61—42no—
290C2×C4×C61#12114yes—
291C2×C4×C61#12314yes—
292#15120C6111yesmaximal, characteristic, direct product factor, Sylow
293C22×C61—44no—
294C22×C61—44no—
295C22×C61—44no—
296C22×C61—44no—
297C22×C61—44no—
298C22×C61—44no—
299C22×C61—44no—
300C22×C61—82no—
301C22×C61—82no—
302C22×C61—82no—
303C22×C61—82no—
304C22×C61—82no—
305C22×C61—82no—
306C22×C61—82no—
307C22×C61—82no—
308C22×C61C2×#12111yescharacteristic
309C22×C61C2×#12311yescharacteristic
310C22×C61#52511yescharacteristic
311C22×C61#52511yescharacteristic
312C22×C61#52512yes—
313C22×C61#52911yescharacteristic
314C22×C61#52911yescharacteristic
315C22×C61#52912yes—
316C22×C61#53211yescharacteristic
317C22×C61#53211yescharacteristic
318C22×C61#53211yescharacteristic
319C22×C61#53511yescharacteristic
320C22×C61#53512yes—
321C22×C61#53511yescharacteristic
322C22×C61#54012yes—
323C22×C61#55112yes—
324C22×C61#55112yes—
325C22×C61#55112yes—
326C22×C61#55112yes—
327C22×C61#55312yes—
328C22×C61#55312yes—
329C22×C61#55512yes—
330C22×C61#55512yes—
331C4×C61—24no—
332C4×C61—24no—
333C4×C61—42no—
334C4×C61—44no—
335C4×C61—42no—
336C4×C61—42no—
337C4×C61—42no—
338C4×C61—42no—
339C4×C61—82no—
340C4×C61—82no—
341C2×#390C2×C6111yescharacteristic
342C2×#388C2×C6112yescomplemented
343C2×#376C2×C6111yescharacteristic, complemented
344#1444C2×C6111yescharacteristic, complemented
345#1442C2×C6111yescharacteristic, complemented
346#1440C2×C6112yescomplemented
347#1439C2×C6112yescomplemented
348#1438C2×C6111yescharacteristic
349#1438C2×C6111yescharacteristic
350#1437C2×C6112yescomplemented
351#1434C2×C6111yescharacteristic, complemented
352C2×C61—84no—
353C2×C61#239211yescharacteristic
354C2×C61#248211yescharacteristic
355C2×C61#250011yescharacteristic
356C2×C61#252612yes—
357C2×C61#253112yes—
358C2×C61#259811yescharacteristic
359C2×C61#260312yes—
360C2×C61#261011yescharacteristic
361C2×C61#261012yes—
362C2×C61#261911yescharacteristic
363C2×C61#285411yescharacteristic
364C23×D4C22×C6111yescharacteristic
365C22×C4⋊C4C22×C6112yes—
366C22×C4⋊C4C22×C6111yescharacteristic
367C22×C22⋊C4C22×C6112yes—
368C22×C22⋊C4C22×C6112yes—
369C22×C22⋊C4C22×C6112yes—
370C22×C22⋊C4C22×C6112yes—
371C22×C22⋊C4C22×C6112yes—
372C22×C22⋊C4C22×C6112yes—
373C22×C42C22×C6111yescharacteristic
374C22×C42C22×C6111yescharacteristic
375C22×C42C22×C6111yescharacteristic
376#390—24no—
377#388—28no—
378#376—24no—
379C2×#95C22×C6112yes—
380C2×#95C22×C6111yescharacteristic
381C2×#95C22×C6111yescharacteristic
382C2×#95C22×C6112yes—
383C2×#95C22×C6111yescharacteristic
384C2×#95C22×C6111yescharacteristic
385C2×#95C22×C6111yescharacteristic
386C2×#95C22×C6111yescharacteristic
387C2×#95C22×C6112yes—
388C2×#95C22×C6112yes—
389C2×#95C22×C6112yes—
390C61#1512011yescharacteristic, direct product factor, Sylow
391C25C23×C6112yes—
392C22×D4—24no—
393C22×D4—22no—
394C22×D4—22no—
395C22×D4—22no—
396C22×D4—42no—
397C23×C4C23×C6112yes—
398C23×C4C23×C6112yes—
399C23×C4C23×C6111yescharacteristic
400C23×C4C23×C6111yescharacteristic
401C23×C4C23×C6111yescharacteristic
402C23×C4C23×C6112yes—
403C23×C4C23×C6111yescharacteristic
404C23×C4C23×C6111yescharacteristic
405C23×C4C23×C6111yescharacteristic
406C23×C4C23×C6111yescharacteristic
407C2×C4⋊C4—24no—
408C2×C4⋊C4—22no—
409C2×C4⋊C4—42no—
410C2×C4⋊C4—42no—
411C2×C4⋊C4—42no—
412C2×C22⋊C4—24no—
413C2×C22⋊C4—24no—
414C2×C22⋊C4—24no—
415C2×C22⋊C4—24no—
416C2×C22⋊C4—24no—
417C2×C22⋊C4—24no—
418C2×C22⋊C4—24no—
419C2×C22⋊C4—24no—
420C2×C22⋊C4—24no—
421C2×C22⋊C4—24no—
422C2×C22⋊C4—24no—
423C2×C22⋊C4—24no—
424C2×C22⋊C4—42no—
425C2×C22⋊C4—42no—
426C2×C22⋊C4—42no—
427C2×C22⋊C4—42no—
428C2×C22⋊C4—42no—
429C2×C22⋊C4—42no—
430C2×C42—22no—
431C2×C42—22no—
432C2×C42—22no—
433C2×C42—22no—
434C2×C42—22no—
435C2×C42—22no—
436C2×C42—22no—
437C2×C42D4×C6114yes—
438C2×C42D4×C6114yescomplemented
439#95—22no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95—24no—
444#95—24no—
445#95—22no—
446#95—24no—
447#95—22no—
448#95—42no—
449#95—42no—
450C24—22no—
451C24—22no—
452C24—22no—
453C24—22no—
454C24—22no—
455C24—22no—
456C24—22no—
457C24—22no—
458C24—22no—
459C24—22no—
460C24—22no—
461C24—22no—
462C24—22no—
463C24—22no—
464C24#41×C6114yes—
465C24C24×C6111yescharacteristic
466C2×D4—28no—
467C2×D4—48no—
468C2×D4—48no—
469C2×D4—44no—
470C2×D4—44no—
471C22×C4—21no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—21no—
489C22×C4—21no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4C2×D4×C6112yes—
518C22×C4C2×D4×C6112yes—
519C22×C4C2×D4×C6112yes—
520C22×C4C2×D4×C6112yes—
521C22×C4C2×D4×C6112yes—
522C22×C4C2×D4×C6112yes—
523C22×C4#41×C6114yes—
524C22×C4#41×C6112yes—
525C22×C4#41×C6112yes—
526C22×C4#41×C6112yes—
527C22×C4#41×C6112yes—
528C22×C4#41×C6112yes—
529C4⋊C4—44no—
530C4⋊C4—48no—
531C22⋊C4—216no—
532C22⋊C4—48no—
533C22⋊C4—48no—
534C22⋊C4—48no—
535C22⋊C4—48no—
536C22⋊C4—48no—
537C42—28no—
538C42—28no—
539C42—28no—
540C23—24no—
541C23—24no—
542C23—24no—
543C23—24no—
544C23—24no—
545C23—24no—
546C23—24no—
547C23—42no—
548C23—42no—
549C23—42no—
550C23—42no—
551C23—42no—
552C23—42no—
553C23—42no—
554C23—42no—
555C23—42no—
556C23—42no—
557C23—42no—
558C23—42no—
559C23—42no—
560C23—42no—
561C23—42no—
562C23—42no—
563C23—42no—
564C23—42no—
565C23—42no—
566C23—42no—
567C23—42no—
568C23—42no—
569C23—42no—
570C23—42no—
571C23—42no—
572C23—42no—
573C23—42no—
574C23—42no—
575C23C22×D4×C6111yescharacteristic
576C23C22×D4×C6111yescharacteristic
577C23C2×#41×C6111yescharacteristic
578C23C2×#41×C6111yescharacteristic
579C23C2×#41×C6111yescharacteristic
580C23C2×#41×C6111yescharacteristic
581C23C2×#41×C6112yes—
582C23C2×#41×C6111yescharacteristic
583C23C2×#41×C6112yes—
584C23H(5,𝔽2)×C6112yes—
585C23H(5,𝔽2)×C6112yes—
586D4—416no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—24no—
591C2×C4—24no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—24no—
600C2×C4—24no—
601C2×C4—24no—
602C2×C4—24no—
603C2×C4—24no—
604C2×C4—22no—
605C2×C4—22no—
606C2×C4—22no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—24no—
610C2×C4—24no—
611C2×C4—42no—
612C2×C4—41no—
613C2×C4—41no—
614C2×C4—42no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—42no—
620C2×C4—42no—
621C2×C4—42no—
622C2×C4—42no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—42no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—42no—
629C2×C4—42no—
630C2×C4—42no—
631C2×C4—42no—
632C2×C4—42no—
633C2×C4—42no—
634C2×C4—42no—
635C2×C4—42no—
636C2×C4—42no—
637C2×C4—42no—
638C2×C4—42no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—42no—
642C2×C4—42no—
643C2×C4#121×C6114yes—
644C2×C4#123×C6114yes—
645C22—44no—
646C22—44no—
647C22—44no—
648C22—44no—
649C22—44no—
650C22—44no—
651C22—44no—
652C22—82no—
653C22—82no—
654C22—82no—
655C22—82no—
656C22—82no—
657C22—82no—
658C22—82no—
659C22—82no—
660C22C2×#121×C6111yescharacteristic
661C22C2×#123×C6111yescharacteristic
662C22C61×#52511yescharacteristic
663C22C61×#52511yescharacteristic
664C22C61×#52512yes—
665C22C61×#52911yescharacteristic
666C22C61×#52912yes—
667C22C61×#52911yescharacteristic
668C22C61×#53211yescharacteristic
669C22C61×#53211yescharacteristic
670C22C61×#53211yescharacteristic
671C22C61×#53511yescharacteristic
672C22C61×#53512yes—
673C22C61×#53511yescharacteristic
674C22C61×#54012yes—
675C22C61×#55112yes—
676C22C61×#55112yes—
677C22C61×#55112yes—
678C22C61×#55112yes—
679C22C61×#55312yes—
680C22C61×#55312yes—
681C22C61×#55512yes—
682C22C61×#55512yes—
683C4—24no—
684C4—24no—
685C4—42no—
686C4—44no—
687C4—42no—
688C4—42no—
689C4—42no—
690C4—42no—
691C4—82no—
692C4—82no—
693C2—84no—
694C2C61×#239211yescharacteristic
695C2C61×#248211yescharacteristic
696C2C61×#250011yescharacteristic
697C2C61×#252612yes—
698C2C61×#253112yes—
699C2C61×#259811yescharacteristic
700C2C61×#260312yes—
701C2C61×#261011yescharacteristic
702C2C61×#261012yes—
703C2C61×#261911yescharacteristic
704C2C61×#285411yescharacteristic
subgroupG/H
center, socleC24×C61C24
commutator, Frattini, cosocleC24C24×C61
prime radicalC23×D4×C61C22
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24×C61 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C61×#388C2semidirect
3. C2×C61×#376C2semidirect
4. C61×#1444C2semidirect
5. C61×#1442C2semidirect
6. C61×#1440C2semidirect
7. C61×#1439C2semidirect
10. C61×#1437C2semidirect
11. C61×#1434C2semidirect
85. C2×C42×C61D4semidirect
292. #15120C61direct (N × H)
342. C2×#388C2×C61semidirect
343. C2×#376C2×C61semidirect
344. #1444C2×C61semidirect
345. #1442C2×C61semidirect
346. #1440C2×C61semidirect
347. #1439C2×C61semidirect
350. #1437C2×C61semidirect
351. #1434C2×C61semidirect
390. C61#15120direct (N × H)
438. C2×C42D4×C61semidirect

Maximal subgroups

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

subgroupindex
C2×C61×#3902
C2×C61×#3882
C2×C61×#3762
C61×#14442
C61×#14422
C61×#14402
C61×#14392
C61×#14382
C61×#14372
C61×#14342
#1512061