Finite Group Databasebeta

← #29686431

Subgroups — #29686431

Order 15616.

1044 conjugacy classes of subgroups.

The subgroup lattice has 702 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16839960C211yesmaximal, characteristic
2C2×C4×#11758201C211yesmaximal, characteristic, complemented
3#21448541C211yesmaximal, characteristic
4#21448184C211yesmaximal, characteristic, complemented
5#21446744C211yesmaximal, characteristic
6#21446584C211yesmaximal, characteristic, complemented
7#21446449C211yesmaximal, characteristic, complemented
8#21446438C211yesmaximal, characteristic, complemented
9#21446176C211yesmaximal, characteristic, complemented
10#21446172C211yesmaximal, characteristic, complemented
11#21445832C211yesmaximal, characteristic, complemented
12#21445679C211yesmaximal, characteristic, complemented
13#21445645C211yesmaximal, characteristic, complemented
14C4×#14519698C211yesmaximal, characteristic, complemented
15C2×C61×#440C211yesmaximal, characteristic, complemented
16C22×#11758201C2211yescharacteristic
17C2×#14519773C2211yescharacteristic
18C2×Q8×Dic61C2211yescharacteristic
19C2×Q8×Dic61C2211yescharacteristic
20C2×C4×D244C2211yescharacteristic
21#16839960C418yescomplemented
22C4×#11758201—24no—
23C2×#14519708C2211yescharacteristic
24C2×#14519706C2211yescharacteristic
25C2×#14519706C2211yescharacteristic
26C2×#14519701C2211yescharacteristic
27C2×#14519699C2211yescharacteristic
28C2×#14519699C2211yescharacteristic
29C2×#14519698C2211yescharacteristic
30C2×#14519698C2211yescharacteristic
31C2×#14519697C2211yescharacteristic
32C2×C4×#92418C2211yescharacteristic
33#16839665C2211yescharacteristic
34#16839663C2211yescharacteristic
35#16839641—21no—
36#16839641—21no—
37#16839638—21no—
38#16839638—21no—
39#16839627C2211yescharacteristic
40C4⋊C4×Dic61—21no—
41C4⋊C4×Dic61—21no—
42C4⋊C4×Dic61C2211yescharacteristic
43C4⋊C4×Dic61C2211yescharacteristic
44C4×C4⋊Dic61—21no—
45C4×C4⋊Dic61C2211yescharacteristic
46#16839608—21no—
47#16839608C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839524C2211yescharacteristic
51#16839524C2211yescharacteristic
52#16839516C2211yescharacteristic
53#16839516C2211yescharacteristic
54C22×SD16×C61C2211yescharacteristic
55C2×C4×Q8×C61C2211yescharacteristic
56C2×C4×D4×C61C2211yescharacteristic
57C61×#440—24no—
58C2×#107×C61C2211yescharacteristic
59C2×#103×C61C2211yescharacteristic
60C2×#102×C61C2211yescharacteristic
61C2×#97×C61C2211yescharacteristic
62C22×D244C2311yescharacteristic
63C22×C22⋊D61—21no—
64C22×C22⋊D61—21no—
65C22×C4×D61—21no—
66C2×#11758201—22no—
67C2×#11758201—22no—
68C2×#11758201C2×C414yescomplemented
69C22×#92418C2311yescharacteristic
70C22×#92418C2311yescharacteristic
71#14519773—22no—
72#14519773C2×C414yes—
73Q8×Dic61—22no—
74Q8×Dic61—22no—
75Q8×Dic61—22no—
76Q8×Dic61C2×C414yescomplemented
77C4×D244—22no—
78C4×D244—22no—
79C2×C4⋊Dic61—21no—
80C2×C4⋊Dic61—21no—
81C2×C4⋊Dic61C2311yescharacteristic
82C2×C4⋊Dic61C2311yescharacteristic
83C2×C4⋊Dic61C2311yescharacteristic
84C2×C22⋊Dic61—21no—
85C2×C22⋊Dic61—21no—
86C2×#11758198—21no—
87C2×#11758198—21no—
88C2×#11758198—21no—
89C2×C4×Dic61—21no—
90C2×C4×Dic61—21no—
91C2×C4×Dic61—21no—
92C2×C4×Dic61—21no—
93C2×C4×Dic61—21no—
94C2×C4×Dic61C2311yescharacteristic
95C2×C4×Dic61C2311yescharacteristic
96#14519708—22no—
97#14519706—22no—
98#14519706C2×C414yescomplemented
99#14519701—22no—
100#14519699—22no—
101#14519699C2×C414yescomplemented
102#14519698—22no—
103#14519698C2×C414yescomplemented
104#14519697—22no—
105C4×#92418—22no—
106#14519684—21no—
107#14519684—21no—
108#14519684—21no—
109#14519684—21no—
110#14519684—21no—
111#14519684D411yescharacteristic
112#14519684D411yescharacteristic
113#14519684D411yescharacteristic
114#14519684D411yescharacteristic
115C22×Q8×C61C2311yescharacteristic
116C22×D4×C61C2311yescharacteristic
117C23×C4×C61—21no—
118C2×SD16×C61—22no—
119C2×SD16×C61—22no—
120C2×SD16×C61C2×C414yescomplemented
121C22×C8×C61C2311yescharacteristic
122C22×C8×C61C2311yescharacteristic
123C4×Q8×C61—22no—
124C4×Q8×C61D414yescomplemented
125C4×D4×C61—22no—
126C4×D4×C61—22no—
127C2×C4⋊C4×C61—21no—
128C2×C4⋊C4×C61C2311yescharacteristic
129C2×C4⋊C4×C61C2311yescharacteristic
130C2×C22⋊C4×C61—21no—
131C2×C42×C61—21no—
132C2×C42×C61C2311yescharacteristic
133#107×C61—22no—
134#103×C61—22no—
135#102×C61—22no—
136#97×C61—22no—
137C24×C61—21no—
138C23×D61—21no—
139C2×Q8×C61—21no—
140C2×Q8×C61—21no—
141C2×Q8×C61—21no—
142C2×Q8×C61C22×C412yes—
143C2×Q8×C61C2×D412yes—
144C2×Q8×C61#4112yes—
145C2×D4×C61—21no—
146C2×D4×C61—21no—
147C2×D4×C61—21no—
148C2×D4×C61—21no—
149C2×D4×C61—21no—
150C2×D4×C61C22×C412yes—
151C22×C4×C61—21no—
152C22×C4×C61—21no—
153C22×C4×C61—21no—
154C22×C4×C61—42no—
155C22×C4×C61—81no—
156C22×C4×C61—81no—
157C22×C4×C61C2×D411yescharacteristic
158C22×C4×C61C2×D411yescharacteristic
159C22×C4×C61C2411yescharacteristic
160C2×C22⋊D61—24no—
161C2×C22⋊D61—24no—
162C2×C22⋊D61—81no—
163C2×C22⋊D61—81no—
164C2×C22⋊D61—81no—
165C2×C22⋊D61—81no—
166C22×Dic61—21no—
167C22×Dic61—21no—
168C22×Dic61—21no—
169C22×Dic61C2×D411yescharacteristic
170C22×Dic61C2×D411yescharacteristic
171C22×Dic61C2×D411yescharacteristic
172C22×Dic61C2×D411yescharacteristic
173C2×D244—21no—
174C2×D244—21no—
175C2×D244—21no—
176C2×D244—21no—
177C2×D244—21no—
178C2×D244C22×C412yes—
179C2×C4×D61—42no—
180C2×C4×D61—81no—
181C2×C4×D61—81no—
182SD16×C61—28no—
183C2×C8×C61—21no—
184C2×C8×C61—21no—
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61C22×C412yes—
189C4⋊C4×C61—24no—
190C4⋊C4×C61—21no—
191C4⋊C4×C61—21no—
192C4⋊C4×C61—21no—
193C4⋊C4×C61C2×D412yes—
194C22⋊C4×C61—42no—
195C42×C61—24no—
196C42×C61C2×D412yes—
197C42×C61#4112yes—
198C22⋊Dic61—81no—
199C22⋊Dic61—81no—
200#11758201—28no—
201#11758198—42no—
202#11758198—81no—
203#11758198—81no—
204C4⋊Dic61—24no—
205C4⋊Dic61—21no—
206C4⋊Dic61—21no—
207C4⋊Dic61—24no—
208C4⋊Dic61—21no—
209C4⋊Dic61—21no—
210C4⋊Dic61C22×C412yes—
211C4⋊Dic61#4112yes—
212C4×Dic61—24no—
213C4×Dic61—21no—
214C4×Dic61—21no—
215C4×Dic61—24no—
216C4×Dic61—81no—
217C4×Dic61—81no—
218C4×Dic61—81no—
219C4×Dic61C22×C412yes—
220C4×Dic61#4112yes—
221C2×#92418—21no—
222C2×#92418—21no—
223C2×#92418—21no—
224C2×#92418—21no—
225C2×#92418—21no—
226C2×#92418C22×C412yes—
227C23×C61—22no—
228C23×C61—41no—
229C23×C61—41no—
230C23×C61—41no—
231C23×C61—41no—
232C23×C61—41no—
233C23×C61—41no—
234C23×C61C22×D411yescharacteristic
235C22×D61—22no—
236C22×D61—41no—
237C22×D61—41no—
238C22×D61—41no—
239C22×D61—41no—
240C22×D61—41no—
241C22×D61—41no—
242Q8×C61—22no—
243Q8×C61—22no—
244Q8×C61—22no—
245Q8×C61C4×D414yes—
246D4×C61—22no—
247D4×C61—22no—
248D4×C61—41no—
249D4×C61—41no—
250C2×C4×C61—22no—
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—22no—
258C2×C4×C61—41no—
259C2×C4×C61—41no—
260C2×C4×C61—41no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61—84no—
264C2×C4×C61#12112yes—
265C2×C4×C61#12112yes—
266C2×C4×C61C23×C411yescharacteristic
267C2×C4×C61C22×D411yescharacteristic
268C2×C4×C61C2×#4111yescharacteristic
269C2×C4×C61C2×#4111yescharacteristic
270C2×C4×C61C2×#4111yescharacteristic
271C2×C4×C61C2×#4111yescharacteristic
272C22⋊D61—84no—
273C22⋊D61—84no—
274C2×Dic61—21no—
275C2×Dic61—21no—
276C2×Dic61—21no—
277C2×Dic61—21no—
278C2×Dic61—22no—
279C2×Dic61—21no—
280C2×Dic61—21no—
281C2×Dic61—22no—
282C2×Dic61—21no—
283C2×Dic61—21no—
284C2×Dic61—21no—
285C2×Dic61—21no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61C4×D412yes—
294C2×Dic61C4×D412yes—
295D244—22no—
296D244—22no—
297D244—41no—
298D244—41no—
299C4×D61—84no—
300C8×C61—22no—
301C8×C61—41no—
302#92418—22no—
303#92418—41no—
304#21515—611nomaximal, Sylow
305C22×C61—42no—
306C22×C61—42no—
307C22×C61—42no—
308C22×C61—81no—
309C22×C61—81no—
310C22×C61—81no—
311C22×C61—81no—
312C22×C61C2×C4×D411yescharacteristic
313C22×C61C2×#12111yescharacteristic
314C22×C61#52511yescharacteristic
315C22×C61#57611yescharacteristic
316C22×C61#57711yescharacteristic
317C22×C61#57711yescharacteristic
318C22×C61#57711yescharacteristic
319C2×D61—42no—
320C2×D61—42no—
321C2×D61—42no—
322C2×D61—81no—
323C2×D61—81no—
324C2×D61—81no—
325C2×D61—81no—
326C4×C61—22no—
327C4×C61—22no—
328C4×C61—24no—
329C4×C61—42no—
330C4×C61—81no—
331C4×C61C2×C4×D411yescharacteristic
332C4×C61C4×#4111yescharacteristic
333C4×C61#52911yescharacteristic
334C4×C61#53211yescharacteristic
335Dic61—22no—
336Dic61—22no—
337Dic61—41no—
338Dic61—42no—
339Dic61—41no—
340Dic61—42no—
341Dic61—81no—
342C2×#460—611no—
343C2×#440D6111yescharacteristic, complemented
344C2×C4×SD16—611no—
345#2328—611no—
346#2276—611no—
347#1982—611no—
348#1949—611no—
349#1926—611no—
350#1925—611no—
351#1880—611no—
352#1880—611no—
353#1805—611no—
354#1768—611no—
355#1762—611no—
356C4×#102—611no—
357C2×C61—82no—
358C2×C61C4×#12111yescharacteristic
359C2×C61#294611yescharacteristic
360C2×C61#294911yescharacteristic
361C2×C61#304311yescharacteristic
362C2×C61#304511yescharacteristic
363C2×C61#311911yescharacteristic
364C2×C61#312611yescharacteristic
365D61—82no—
366C22×SD16—611no—
367C22×SD16C2×D6111yescharacteristic
368C2×#127—611no—
369C2×C4×Q8—611no—
370C2×C4×Q8—611no—
371C2×C4×Q8C2×D6111yescharacteristic
372C2×C4×D4—611no—
373C2×C4×D4C2×D6111yescharacteristic
374#460—618no—
375#440—24no—
376C4×SD16—1224no—
377C2×#107C2×D6111yescharacteristic
378C2×#106—611no—
379C2×C4⋊C8—611no—
380C2×C4⋊C8—611no—
381C2×#103—611no—
382C2×#103C2×D6111yescharacteristic
383C2×#102—611no—
384C2×#102—611no—
385C2×#102—611no—
386C2×#102—611no—
387C2×#102—611no—
388C2×#102C2×D6111yescharacteristic
389C2×#97C2×D6111yescharacteristic
390C2×C4×C8—611no—
391#390—611no—
392#390—611no—
393#386—1221no—
394#386—1221no—
395#386—1221no—
396#386—1221no—
397#382—611no—
398C4×C4⋊C4—611no—
399C4×C4⋊C4—611no—
400C4×C4⋊C4—611no—
401C4×C4⋊C4—1221no—
402C4×C4⋊C4—1221no—
403C4×C4⋊C4—1221no—
404#376—611no—
405#376—1221no—
406#340—611no—
407#340—611no—
408#340—611no—
409#340—611no—
410#336—611no—
411#336—611no—
412C61#2151511yescharacteristic, complemented, Sylow
413C22×Q8C22×D6111yescharacteristic
414C22×D4—611no—
415C22×D4—1221no—
416C22×D4—1221no—
417C22×D4C22×D6111yescharacteristic
418C23×C4—21no—
419C23×C4—1221no—
420C2×SD16—22no—
421C2×SD16—22no—
422C2×SD16—614no—
423C2×SD16—1222no—
424C2×SD16—1222no—
425C2×SD16C4×D6114yescomplemented
426C22×C8—611no—
427C22×C8—611no—
428C22×C8C22×D6111yescharacteristic
429C22×C8C22×D6111yescharacteristic
430#127—614no—
431#127—1222no—
432C4×Q8—22no—
433C4×Q8—614no—
434C4×Q8—1222no—
435C4×Q8—1222no—
436C4×Q8—1222no—
437C4×Q8C22⋊D6114yescomplemented
438C4×D4—22no—
439C4×D4—22no—
440C4×D4—1222no—
441C4×D4—1222no—
442C2×C4⋊C4—21no—
443C2×C4⋊C4—611no—
444C2×C4⋊C4—611no—
445C2×C4⋊C4—611no—
446C2×C4⋊C4—1221no—
447C2×C4⋊C4—1221no—
448C2×C4⋊C4C22×D6111yescharacteristic
449C2×C4⋊C4C22×D6111yescharacteristic
450C2×C22⋊C4—21no—
451C2×C22⋊C4—1221no—
452C2×C22⋊C4—1221no—
453C2×C22⋊C4—1221no—
454C2×C22⋊C4—1221no—
455C2×C22⋊C4—1221no—
456C2×C42—21no—
457C2×C42—611no—
458C2×C42—611no—
459C2×C42—1221no—
460C2×C42—1221no—
461C2×C42—1221no—
462C2×C42—1221no—
463C2×C42—1221no—
464C2×C42C22×D6111yescharacteristic
465#107—22no—
466#106—1222no—
467C4⋊C8—614no—
468C4⋊C8—1222no—
469#103—22no—
470#103—1222no—
471#102—22no—
472#102—614no—
473#102—614no—
474#102—1222no—
475#102—1222no—
476#102—1222no—
477#97—22no—
478C4×C8—1222no—
479#95—611no—
480#95—611no—
481#95—611no—
482#95—611no—
483#95—1221no—
484#95—1221no—
485#95—1221no—
486#95—1221no—
487#95—1221no—
488C24—21no—
489C24—1221no—
490C2×Q8—21no—
491C2×Q8—21no—
492C2×Q8—21no—
493C2×Q8C2×C4×D6112yes—
494C2×Q8#1175822212yes—
495C2×Q8C2×C22⋊D6112yes—
496C2×D4—21no—
497C2×D4—21no—
498C2×D4—21no—
499C2×D4—21no—
500C2×D4—21no—
501C2×D4—612no—
502C2×D4—1224no—
503C2×D4—1224no—
504C2×D4—1221no—
505C2×D4—1221no—
506C2×D4—1221no—
507C2×D4—1221no—
508C2×D4—1221no—
509C2×D4—4881no—
510C2×D4—4881no—
511C2×D4—4881no—
512C2×D4—4881no—
513C2×D4C2×C4×D6112yes—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—42no—
518C22×C4—81no—
519C22×C4—81no—
520C22×C4—611no—
521C22×C4—611no—
522C22×C4—611no—
523C22×C4—611no—
524C22×C4—1221no—
525C22×C4—1221no—
526C22×C4—1221no—
527C22×C4—4881no—
528C22×C4—4881no—
529C22×C4—2442no—
530C22×C4D4×D6111yescharacteristic
531C22×C4D4×D6111yescharacteristic
532C22×C4C23×D6111yescharacteristic
533SD16—28no—
534SD16—1228no—
535C2×C8—21no—
536C2×C8—21no—
537C2×C8—21no—
538C2×C8—21no—
539C2×C8—21no—
540C2×C8—612no—
541C2×C8—1221no—
542C2×C8—1221no—
543C2×C8—1221no—
544C2×C8—1221no—
545C2×C8—1221no—
546C2×C8C2×C4×D6112yes—
547C4⋊C4—21no—
548C4⋊C4—24no—
549C4⋊C4—21no—
550C4⋊C4—21no—
551C4⋊C4—612no—
552C4⋊C4—612no—
553C4⋊C4—1224no—
554C4⋊C4—1224no—
555C4⋊C4—1221no—
556C4⋊C4—1221no—
557C4⋊C4—1221no—
558C4⋊C4—1221no—
559C4⋊C4C2×C22⋊D6112yes—
560C22⋊C4—42no—
561C22⋊C4—4881no—
562C22⋊C4—4881no—
563C22⋊C4—4881no—
564C22⋊C4—4881no—
565C22⋊C4—2442no—
566C42—24no—
567C42—612no—
568C42—612no—
569C42—1224no—
570C42—1224no—
571C42—1221no—
572C42—1221no—
573C42—4881no—
574C42—4881no—
575C42—4881no—
576C42#1175822412yes—
577C42C2×C22⋊D6112yes—
578C23—22no—
579C23—41no—
580C23—41no—
581C23—41no—
582C23—41no—
583C23—41no—
584C23—41no—
585C23—1222no—
586C23—2441no—
587C23—2441no—
588C23—2441no—
589C23—2441no—
590C23—2441no—
591C23—2441no—
592C23C2×D4×D6111yescharacteristic
593Q8—22no—
594Q8—22no—
595Q8—22no—
596Q8C4×C22⋊D6114yes—
597D4—22no—
598D4—22no—
599D4—41no—
600D4—41no—
601D4—1222no—
602D4—1222no—
603D4—4884no—
604D4—4884no—
605D4—2441no—
606D4—2441no—
607C2×C4—22no—
608C2×C4—22no—
609C2×C4—22no—
610C2×C4—21no—
611C2×C4—21no—
612C2×C4—21no—
613C2×C4—21no—
614C2×C4—22no—
615C2×C4—41no—
616C2×C4—41no—
617C2×C4—41no—
618C2×C4—41no—
619C2×C4—41no—
620C2×C4—84no—
621C2×C4—612no—
622C2×C4—612no—
623C2×C4—1221no—
624C2×C4—1221no—
625C2×C4—1221no—
626C2×C4—1221no—
627C2×C4—1222no—
628C2×C4—1221no—
629C2×C4—1222no—
630C2×C4—1221no—
631C2×C4—1221no—
632C2×C4—1221no—
633C2×C4—1221no—
634C2×C4—1221no—
635C2×C4—4884no—
636C2×C4—2441no—
637C2×C4—2441no—
638C2×C4—2441no—
639C2×C4—2441no—
640C2×C4—2441no—
641C2×C4—2441no—
642C2×C4—2441no—
643C2×C4#1451974912yes—
644C2×C4#1451974912yes—
645C2×C4C22×C4×D6111yescharacteristic
646C2×C4C22×C22⋊D6111yescharacteristic
647C2×C4#41×D6111yescharacteristic
648C2×C4#41×D6111yescharacteristic
649C2×C4C2×#1175822411yescharacteristic
650C2×C4C2×#1175822211yescharacteristic
651C8—22no—
652C8—41no—
653C8—1222no—
654C8—2441no—
655C22—42no—
656C22—42no—
657C22—42no—
658C22—81no—
659C22—81no—
660C22—81no—
661C22—81no—
662C22—4881no—
663C22—4881no—
664C22—4881no—
665C22—4881no—
666C22—2442no—
667C22—2442no—
668C22—2442no—
669C22C4×D4×D6111yescharacteristic
670C22C2×#1451974911yescharacteristic
671C22#1684027111yescharacteristic
672C22#1684056611yescharacteristic
673C22#1684057111yescharacteristic
674C22#1684057111yescharacteristic
675C22#1684057211yescharacteristic
676C4—22no—
677C4—24no—
678C4—22no—
679C4—42no—
680C4—81no—
681C4—1222no—
682C4—1222no—
683C4—4881no—
684C4—2442no—
685C4—2441no—
686C4—2442no—
687C4—2441no—
688C4C2×C4×C22⋊D6111yescharacteristic
689C4C4×#1175822411yescharacteristic
690C4#1684029211yescharacteristic
691C4#1684030811yescharacteristic
692C2—82no—
693C2—4882no—
694C2C4×#1451974911yescharacteristic
695C2#2145465011yescharacteristic
696C2#2145467511yescharacteristic
697C2#2145534211yescharacteristic
698C2#2145536211yescharacteristic
699C2#2145601611yescharacteristic
700C2#2145610911yescharacteristic
subgroupG/H
centerC23C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC2×C61×#440C2
socleC23×C61C22×D4
prime radicalC2×#14519773C22
cosocleC22×C4×C61C24
hypercenterC2×#440D61
hypocenterC61#21515
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×#440

Complements

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

NH ≅ G/Ntype
2. C2×C4×#11758201C2semidirect
4. #21448184C2semidirect
6. #21446584C2semidirect
7. #21446449C2semidirect
8. #21446438C2semidirect
9. #21446176C2semidirect
10. #21446172C2semidirect
11. #21445832C2semidirect
12. #21445679C2semidirect
13. #21445645C2semidirect
14. C4×#14519698C2semidirect
15. C2×C61×#440C2semidirect
21. #16839960C4semidirect
68. C2×#11758201C2×C4semidirect
76. Q8×Dic61C2×C4semidirect
98. #14519706C2×C4semidirect
101. #14519699C2×C4semidirect
103. #14519698C2×C4semidirect
120. C2×SD16×C61C2×C4semidirect
124. C4×Q8×C61D4semidirect
343. C2×#440D61semidirect
412. C61#21515semidirect
425. C2×SD16C4×D61semidirect
437. C4×Q8C22⋊D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168399602
C2×C4×#117582012
#214485412
#214481842
#214467442
#214465842
#214464492
#214464382
#214461762
#214461722
#214458322
#214456792
#214456452
C4×#145196982
C2×C61×#4402
#2151561