Finite Group Databasebeta

← #29646151

Subgroups — #29646151

Order 15616.

1048 conjugacy classes of subgroups.

The subgroup lattice has 724 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840348C211yesmaximal, characteristic
2#21454858C211yesmaximal, characteristic, complemented
3#21454845C211yesmaximal, characteristic, complemented
4#21444187C212yesmaximal, complemented
5#21444180C211yesmaximal, characteristic, complemented
6#21444178C211yesmaximal, characteristic, complemented
7#21444169C212yesmaximal, complemented
8#21444167C211yesmaximal, characteristic, complemented
9#21444156C212yesmaximal, complemented
10#21444144C212yesmaximal, complemented
11C61×#1468C211yesmaximal, characteristic, complemented
12#16840348—22no—
13#16840348—22no—
14#16840348—22no—
15#16840348—22no—
16C2×#14519772C2211yescharacteristic
17C2×#14519770C411yescharacteristic
18C2×#14519763C411yescharacteristic
19C2×#14519763C2211yescharacteristic
20C2×#14519762C411yescharacteristic
21C2×#14519757C411yescharacteristic
22C2×#14519751C2211yescharacteristic
23C2×#14519750C411yescharacteristic
24C2×#14519748C411yescharacteristic
25C2×#14519747C411yescharacteristic
26C2×#14519745C411yescharacteristic
27C2×#14519739C2211yescharacteristic
28C2×C4×C22⋊D61C2211yescharacteristic
29C2×C22⋊C4×D61C2211yescharacteristic
30#16839838—22no—
31#16839837—22no—
32#16839833—22no—
33#16839830—22no—
34#16839816C2212yescomplemented
35#16839812C2212yescomplemented
36#16839726C2211yescharacteristic, complemented
37#16839724C2212yes—
38#16839724C2212yes—
39C2×C22⋊#92418C2211yescharacteristic, complemented
40#16839488C2212yescomplemented
41#16839486C2212yes—
42#16839485C2212yes—
43#16839485C2212yes—
44#16839485C2212yescomplemented
45#16839485C2212yescomplemented
46C2×#123×C61C2211yescharacteristic
47C61×#407C2211yescharacteristic, complemented
48C2×C22⋊C8×C61C2211yescharacteristic, complemented
49C61×#324C2212yescomplemented
50C61×#323C2212yes—
51C24×D61C2×C411yescharacteristic
52C22×Dic122C2×C411yescharacteristic
53C22×D244C2×C411yescharacteristic
54C22×D244C2×C411yescharacteristic
55C22×C22⋊D61C2×C411yescharacteristic
56C22×C22⋊D61C2×C411yescharacteristic
57C22×C22⋊D61C2×C411yescharacteristic
58C22×C22⋊D61C2×C411yescharacteristic
59C22×C4×D61C2×C411yescharacteristic
60C22×C4×D61C2×C411yescharacteristic
61C22×C4×D61C2311yescharacteristic
62C2×#11758194—21no—
63C2×#11758189—22no—
64C2×#11758189—22no—
65C22×#92418—21no—
66#14519772—22no—
67#14519772—22no—
68#14519770—22no—
69#14519770—22no—
70#14519763—22no—
71#14519763—22no—
72#14519763—22no—
73#14519763—22no—
74#14519762—22no—
75#14519762—22no—
76#14519757—22no—
77#14519757—22no—
78#14519751—21no—
79#14519751—21no—
80#14519751—21no—
81#14519751—21no—
82#14519750—22no—
83#14519750—22no—
84#14519748—22no—
85#14519748—22no—
86#14519747—22no—
87#14519747—22no—
88#14519745—22no—
89#14519745—22no—
90#14519739—22no—
91#14519739—22no—
92C4×C22⋊D61D412yes—
93C4×C22⋊D61D412yes—
94C4×C22⋊D61D412yes—
95C4×C22⋊D61D412yes—
96C2×C4⋊Dic61C2×C411yescharacteristic
97C2×C4⋊Dic61C2×C411yescharacteristic
98C2×#11758196C2×C411yescharacteristic
99C2×#11758196C2×C411yescharacteristic
100C2×C22⋊Dic61C2×C411yescharacteristic
101C2×C22⋊Dic61C2×C411yescharacteristic
102C2×C22⋊Dic61C2×C411yescharacteristic
103C2×#11758198C2×C411yescharacteristic
104C2×#11758198C2×C411yescharacteristic
105C2×#11758198C2×C411yescharacteristic
106C2×#11758198C2×C411yescharacteristic
107C2×#11758198C2×C411yescharacteristic
108C2×#11758198C2×C411yescharacteristic
109C2×#11758198C2311yescharacteristic
110C2×#11758198C2311yescharacteristic
111C22⋊C4×D61—22no—
112C22⋊C4×D61—22no—
113C2×C4×Dic61C2×C411yescharacteristic
114C2×C4×Dic61C2311yescharacteristic
115#14519706—22no—
116#14519706—22no—
117C22⋊#92418—21no—
118C22⋊#92418—21no—
119C22⋊#92418C2312yes—
120C22⋊#92418C2312yes—
121#14519689—22no—
122#14519689—22no—
123#14519687—22no—
124C8×Dic61—22no—
125C22×D4×C61C2×C411yescharacteristic
126C23×C4×C61C2311yescharacteristic
127C2×M16×C61—21no—
128C22×C8×C61—21no—
129#123×C61—21no—
130#123×C61—21no—
131#123×C61—21no—
132#123×C61—21no—
133C2×C4⋊C4×C61C2×C411yescharacteristic
134C2×C4⋊C4×C61C2311yescharacteristic
135C2×C22⋊C4×C61C2×C411yescharacteristic
136C2×C22⋊C4×C61C2×C411yescharacteristic
137C2×C22⋊C4×C61C2311yescharacteristic
138C22⋊C8×C61—21no—
139C22⋊C8×C61—21no—
140C22⋊C8×C61C2312yes—
141C22⋊C8×C61C2312yes—
142C24×C61C22×C411yescharacteristic
143C24×C61C22×C411yescharacteristic
144C23×D61—22no—
145C23×D61—42no—
146C23×D61—81no—
147C23×D61—81no—
148C23×D61C22×C411yescharacteristic
149C23×D61C22×C411yescharacteristic
150C23×D61C22×C411yescharacteristic
151C2×D4×C61—21no—
152C2×D4×C61—21no—
153C2×D4×C61—81no—
154C22×C4×C61—81no—
155C22×C4×C61C22×C411yescharacteristic
156C22×C4×C61C22×C411yescharacteristic
157C22×C4×C61C22×C411yescharacteristic
158C22×C4×C61C22×C411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2×D411yescharacteristic
161C22×C4×C61C2×D411yescharacteristic
162C22×C4×C61C2×D411yescharacteristic
163C22×C4×C61C2411yescharacteristic
164C2×C22⋊D61—21no—
165C2×C22⋊D61—21no—
166C2×C22⋊D61—21no—
167C2×C22⋊D61—21no—
168C2×C22⋊D61—22no—
169C2×C22⋊D61—42no—
170C2×C22⋊D61—81no—
171C2×C22⋊D61—81no—
172C2×C22⋊D61—81no—
173C2×C22⋊D61C22⋊C412yes—
174C2×C22⋊D61C22⋊C412yes—
175C22×Dic61C22×C411yescharacteristic
176C22×Dic61C22×C411yescharacteristic
177C22×Dic61C22×C411yescharacteristic
178C22×Dic61C22×C411yescharacteristic
179C22×Dic61C22×C411yescharacteristic
180C2×D244—22no—
181C2×D244—21no—
182C2×D244—21no—
183C2×D244—42no—
184C2×D244—81no—
185C2×C4×D61—22no—
186C2×C4×D61—22no—
187C2×C4×D61—81no—
188C2×C4×D61—81no—
189C2×C4×D61—81no—
190C2×C4×D61C2×D412yes—
191C2×C4×D61C2×D412yes—
192C2×Dic122—22no—
193C2×Dic122—81no—
194M16×C61—81no—
195C2×C8×C61—22no—
196C2×C8×C61—22no—
197C2×C8×C61—81no—
198C4⋊C4×C61—21no—
199C4⋊C4×C61—21no—
200C4⋊C4×C61—21no—
201C4⋊C4×C61—21no—
202C22⋊C4×C61—21no—
203C22⋊C4×C61—21no—
204C22⋊C4×C61—21no—
205C22⋊C4×C61—21no—
206C22⋊C4×C61—21no—
207C22⋊C4×C61—21no—
208C22⋊Dic61—22no—
209C22⋊Dic61—22no—
210C22⋊Dic61C22⋊C412yes—
211C22⋊Dic61C22⋊C412yes—
212#11758198—22no—
213#11758198—21no—
214#11758198—21no—
215#11758198—21no—
216#11758198—21no—
217#11758198—22no—
218#11758198—22no—
219#11758198—22no—
220#11758198—22no—
221#11758198C22⋊C412yes—
222#11758198C22⋊C412yes—
223C4⋊Dic61—21no—
224C4⋊Dic61—21no—
225C4⋊Dic61—22no—
226#11758196—22no—
227#11758196C22⋊C412yes—
228#11758196C22⋊C412yes—
229C4×Dic61—22no—
230C4×Dic61C2×D412yes—
231C4×Dic61C2×D412yes—
232#11758194—81no—
233C2×#92418—22no—
234C2×#92418—22no—
235C2×#92418—81no—
236#11758189—82no—
237#11758189—82no—
238C23×C61—22no—
239C23×C61—21no—
240C23×C61—22no—
241C23×C61—41no—
242C23×C61—41no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61C2×C22⋊C411yescharacteristic
246C23×C61C2×C22⋊C411yescharacteristic
247C23×C61C23×C411yescharacteristic
248C22×D61—22no—
249C22×D61—21no—
250C22×D61—21no—
251C22×D61—22no—
252C22×D61—22no—
253C22×D61—41no—
254C22×D61—41no—
255C22×D61—44no—
256C22×D61—41no—
257C22×D61—41no—
258C22×D61—41no—
259C22×D61—41no—
260C22×D61—82no—
261C22×D61—82no—
262C22×D61—88no—
263C22×D61C2×C22⋊C412yes—
264D4×C61—81no—
265D4×C61—81no—
266C2×C4×C61—21no—
267C2×C4×C61—21no—
268C2×C4×C61—21no—
269C2×C4×C61—22no—
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×C61C2×C22⋊C411yescharacteristic
279C2×C4×C61C2×C22⋊C411yescharacteristic
280C2×C4×C61C22×D411yescharacteristic
281C2×C4×C61C22×D411yescharacteristic
282C22⋊D61—42no—
283C22⋊D61—42no—
284C22⋊D61—82no—
285C22⋊D61—81no—
286C22⋊D61—81no—
287C22⋊D61—81no—
288C22⋊D61—81no—
289C2×Dic61—22no—
290C2×Dic61—21no—
291C2×Dic61—21no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61C2×C22⋊C412yes—
297C2×Dic61C2×C22⋊C412yes—
298C2×Dic61C2×C22⋊C412yes—
299D244—44no—
300D244—81no—
301D244—81no—
302C4×D61—42no—
303C4×D61—42no—
304C4×D61—82no—
305C4×D61—82no—
306Dic122—82no—
307C8×C61—42no—
308C8×C61—42no—
309#92418—42no—
310#92418—42no—
311#17405—611nomaximal, Sylow
312C22×C61—21no—
313C22×C61—21no—
314C22×C61—21no—
315C22×C61—21no—
316C22×C61—21no—
317C22×C61—21no—
318C22×C61—21no—
319C22×C61—21no—
320C22×C61—41no—
321C22×C61—41no—
322C22×C61—41no—
323C22×C61—82no—
324C22×C61—82no—
325C22×C61C22×C22⋊C411yescharacteristic
326C22×C61#56812yes—
327C2×D61—22no—
328C2×D61—22no—
329C2×D61—22no—
330C2×D61—44no—
331C2×D61—41no—
332C2×D61—41no—
333C2×D61—41no—
334C2×D61—41no—
335C2×D61—41no—
336C2×D61—41no—
337C2×D61—88no—
338C2×D61—82no—
339C2×D61—82no—
340C4×C61—21no—
341C4×C61—21no—
342C4×C61—21no—
343C4×C61—21no—
344C4×C61—41no—
345C4×C61—41no—
346C4×C61—41no—
347Dic61—22no—
348Dic61—22no—
349Dic61—22no—
350Dic61—41no—
351Dic61—41no—
352C2×#538—611no—
353#2975—611no—
354#2973—611no—
355#1473—612no—
356#1471—611no—
357#1471—611no—
358#1469—612no—
359#1468—611no—
360#1468D6111yescharacteristic, complemented
361#1465—612no—
362#1462—612no—
363C2×C61—22no—
364C2×C61—41no—
365C2×C61—41no—
366C2×C61—81no—
367C2×C61#287911yescharacteristic
368C2×C61#288311yescharacteristic
369C2×C61#288811yescharacteristic
370D61—42no—
371D61—81no—
372D61—81no—
373#538—1222no—
374#538—1222no—
375#538—1222no—
376#538—1222no—
377C2×#126—611no—
378C2×#126—611no—
379C2×#124—611no—
380C2×#124—611no—
381C2×#123—611no—
382C2×#123C2×D6111yescharacteristic
383C2×C22⋊Q8—611no—
384C2×#121—611no—
385C2×#121—611no—
386C2×#121—611no—
387C2×#120—611no—
388C2×#120—611no—
389C2×C4×D4—611no—
390C2×C4×D4—611no—
391C22×C22⋊C4—611no—
392#436—1222no—
393#436—1222no—
394#435—1222no—
395#435—1222no—
396#432—612no—
397#431—612no—
398#407—611no—
399#407—612no—
400#407—612no—
401#407C2×D6111yescharacteristic, complemented
402C2×C22⋊C8—611no—
403C2×C22⋊C8C2×D6111yescharacteristic, complemented
404#324—612no—
405#324C2×D6112yescomplemented
406#323—612no—
407#323—612no—
408#323—612no—
409#323—612no—
410#323—612no—
411#323C2×D6112yes—
412C61#1740511yescharacteristic, complemented, Sylow
413C25—611no—
414C22×Q8—611no—
415C22×D4—611no—
416C22×D4—611no—
417C22×D4—611no—
418C22×D4—611no—
419C22×D4—611no—
420C22×D4—611no—
421C22×D4C4×D6111yescharacteristic
422C23×C4—611no—
423C23×C4—611no—
424C23×C4—611no—
425C23×C4C22×D6111yescharacteristic
426C2×M16—21no—
427C2×M16—1222no—
428C2×M16—1222no—
429C2×M16—1221no—
430C22×C8—21no—
431C22×C8—1221no—
432#126—1222no—
433#126—1222no—
434#126—1222no—
435#126—1222no—
436#124—1222no—
437#124—1222no—
438#124—1222no—
439#124—1222no—
440#123—21no—
441#123—21no—
442#123—21no—
443#123—21no—
444#123—1222no—
445#123—1222no—
446C22⋊Q8—1222no—
447C22⋊Q8—1222no—
448#121—1222no—
449#121—1222no—
450#121—1222no—
451#121—1222no—
452#121—1221no—
453#121—1221no—
454#121—1221no—
455#121—1221no—
456#120—1222no—
457#120—1222no—
458#120—1222no—
459#120—1222no—
460C4×D4—612no—
461C4×D4—612no—
462C4×D4—612no—
463C4×D4—612no—
464C4×D4—1222no—
465C4×D4—1222no—
466C2×C4⋊C4—611no—
467C2×C4⋊C4—611no—
468C2×C4⋊C4—611no—
469C2×C4⋊C4—611no—
470C2×C4⋊C4C4×D6111yescharacteristic
471C2×C4⋊C4C22×D6111yescharacteristic
472C2×C22⋊C4—611no—
473C2×C22⋊C4—611no—
474C2×C22⋊C4—611no—
475C2×C22⋊C4—611no—
476C2×C22⋊C4—611no—
477C2×C22⋊C4—611no—
478C2×C22⋊C4—611no—
479C2×C22⋊C4—611no—
480C2×C22⋊C4—611no—
481C2×C22⋊C4—611no—
482C2×C22⋊C4—611no—
483C2×C22⋊C4—1222no—
484C2×C22⋊C4—1222no—
485C2×C22⋊C4C4×D6111yescharacteristic
486C2×C22⋊C4C4×D6111yescharacteristic
487C2×C22⋊C4C22×D6111yescharacteristic
488C2×C42—611no—
489C2×C42—611no—
490C4⋊C8—1222no—
491C4⋊C8—1222no—
492C22⋊C8—21no—
493C22⋊C8—21no—
494C22⋊C8—612no—
495C22⋊C8—612no—
496C22⋊C8—1222no—
497C22⋊C8—1222no—
498C22⋊C8—1221no—
499C22⋊C8—1221no—
500C22⋊C8C22×D6112yes—
501C22⋊C8C22×D6112yes—
502#97—1222no—
503C4×C8—1222no—
504C24—611no—
505C24—611no—
506C24—611no—
507C24—1222no—
508C24—4881no—
509C24—4881no—
510C24—2442no—
511C24C2×C4×D6111yescharacteristic
512C24C2×C4×D6111yescharacteristic
513C2×Q8—1222no—
514C2×Q8—4881no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—81no—
518C2×D4—612no—
519C2×D4—612no—
520C2×D4—1222no—
521C2×D4—1222no—
522C2×D4—1221no—
523C2×D4—1221no—
524C2×D4—1221no—
525C2×D4—1221no—
526C2×D4—1221no—
527C2×D4—1221no—
528C2×D4—4881no—
529C2×D4—4881no—
530C2×D4—4881no—
531C2×D4—4881no—
532C2×D4—2442no—
533C2×D4—2442no—
534C22×C4—81no—
535C22×C4—611no—
536C22×C4—611no—
537C22×C4—611no—
538C22×C4—612no—
539C22×C4—612no—
540C22×C4—611no—
541C22×C4—611no—
542C22×C4—1222no—
543C22×C4—1222no—
544C22×C4—4881no—
545C22×C4—4881no—
546C22×C4—4881no—
547C22×C4C2×C4×D6111yescharacteristic
548C22×C4C2×C4×D6111yescharacteristic
549C22×C4C2×C4×D6111yescharacteristic
550C22×C4C2×C4×D6111yescharacteristic
551C22×C4D4×D6111yescharacteristic
552C22×C4D4×D6111yescharacteristic
553C22×C4D4×D6111yescharacteristic
554C22×C4D4×D6111yescharacteristic
555C22×C4C23×D6111yescharacteristic
556M16—81no—
557M16—4882no—
558M16—4882no—
559M16—4881no—
560C2×C8—22no—
561C2×C8—22no—
562C2×C8—81no—
563C2×C8—1222no—
564C2×C8—1222no—
565C2×C8—4881no—
566C4⋊C4—21no—
567C4⋊C4—21no—
568C4⋊C4—21no—
569C4⋊C4—21no—
570C4⋊C4—612no—
571C4⋊C4—612no—
572C4⋊C4—1222no—
573C4⋊C4—1222no—
574C4⋊C4—1221no—
575C4⋊C4—1221no—
576C22⋊C4—21no—
577C22⋊C4—21no—
578C22⋊C4—21no—
579C22⋊C4—21no—
580C22⋊C4—21no—
581C22⋊C4—21no—
582C22⋊C4—612no—
583C22⋊C4—612no—
584C22⋊C4—612no—
585C22⋊C4—612no—
586C22⋊C4—1222no—
587C22⋊C4—1222no—
588C22⋊C4—1222no—
589C22⋊C4—1222no—
590C22⋊C4—1222no—
591C22⋊C4—1222no—
592C22⋊C4—1222no—
593C22⋊C4—1221no—
594C22⋊C4—1221no—
595C22⋊C4—1221no—
596C22⋊C4—1221no—
597C42—612no—
598C42—612no—
599C42—1222no—
600C23—22no—
601C23—21no—
602C23—22no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—612no—
608C23—1222no—
609C23—1222no—
610C23—1222no—
611C23—1221no—
612C23—1221no—
613C23—4882no—
614C23—4882no—
615C23—4888no—
616C23—2441no—
617C23—2441no—
618C23—2441no—
619C23—2441no—
620C23—2441no—
621C23—2441no—
622C23—2444no—
623C23C22⋊C4×D6111yescharacteristic
624C23C22⋊C4×D6111yescharacteristic
625C23C22×C4×D6111yescharacteristic
626Q8—4882no—
627D4—81no—
628D4—81no—
629D4—4881no—
630D4—4881no—
631D4—4882no—
632D4—4881no—
633D4—4881no—
634D4—4881no—
635D4—4881no—
636D4—2444no—
637D4—2442no—
638D4—2442no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—22no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—41no—
650C2×C4—41no—
651C2×C4—612no—
652C2×C4—612no—
653C2×C4—612no—
654C2×C4—1222no—
655C2×C4—1221no—
656C2×C4—1221no—
657C2×C4—4882no—
658C2×C4—4882no—
659C2×C4—2442no—
660C2×C4—2442no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4C22⋊C4×D6111yescharacteristic
666C2×C4C22⋊C4×D6111yescharacteristic
667C2×C4C2×D4×D6111yescharacteristic
668C2×C4C2×D4×D6111yescharacteristic
669C8—42no—
670C8—42no—
671C8—2442no—
672C8—2442no—
673C22—21no—
674C22—21no—
675C22—21no—
676C22—21no—
677C22—21no—
678C22—21no—
679C22—21no—
680C22—21no—
681C22—41no—
682C22—41no—
683C22—41no—
684C22—82no—
685C22—82no—
686C22—1222no—
687C22—1222no—
688C22—1222no—
689C22—4882no—
690C22—4882no—
691C22—4888no—
692C22—2444no—
693C22—2441no—
694C22—2441no—
695C22—2441no—
696C22—2441no—
697C22—2441no—
698C22—2441no—
699C22C2×C22⋊C4×D6111yescharacteristic
700C22#1684052712yes—
701C4—21no—
702C4—21no—
703C4—21no—
704C4—21no—
705C4—41no—
706C4—41no—
707C4—41no—
708C4—1222no—
709C4—1222no—
710C4—1222no—
711C4—2441no—
712C4—2441no—
713C2—22no—
714C2—41no—
715C2—41no—
716C2—81no—
717C2—4881no—
718C2—4881no—
719C2—2442no—
720C2#2145426111yescharacteristic
721C2#2145427711yescharacteristic
722C2#2145429611yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D61
commutatorC23×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1468C2
socleC22×C61C22×C22⋊C4
prime radicalC2×#16840348C2
cosocleC22×C4×C61C24
hypercenter#1468D61
hypocenterC61#17405
LCSG ▷ C23×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1468

Complements

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

NH ≅ G/Ntype
2. #21454858C2semidirect
3. #21454845C2semidirect
4. #21444187C2semidirect
5. #21444180C2semidirect
6. #21444178C2semidirect
7. #21444169C2semidirect
8. #21444167C2semidirect
9. #21444156C2semidirect
10. #21444144C2semidirect
11. C61×#1468C2semidirect
34. #16839816C22semidirect
35. #16839812C22semidirect
36. #16839726C22semidirect
39. C2×C22⋊#92418C22semidirect
40. #16839488C22semidirect
44. #16839485C22semidirect
45. #16839485C22semidirect
47. C61×#407C22semidirect
48. C2×C22⋊C8×C61C22semidirect
49. C61×#324C22semidirect
360. #1468D61semidirect
401. #407C2×D61semidirect
403. C2×C22⋊C8C2×D61semidirect
405. #324C2×D61semidirect
412. C61#17405semidirect

Maximal subgroups

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

subgroupindex
C2×#168403482
#214548582
#214548452
#214441872
#214441802
#214441782
#214441692
#214441672
#214441562
#214441442
C61×#14682
#1740561