Finite Group Databasebeta

← #29646155

Subgroups — #29646155

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×#16840344C211yesmaximal, characteristic
2#21454858C211yesmaximal, characteristic, complemented
3#21454845C211yesmaximal, characteristic, complemented
4#21444185C212yesmaximal, complemented
5#21444179C211yesmaximal, characteristic, complemented
6#21444169C212yesmaximal, complemented
7#21444168C211yesmaximal, characteristic, complemented
8#21444165C211yesmaximal, characteristic, complemented
9#21444154C212yesmaximal, complemented
10#21444144C212yesmaximal, complemented
11C61×#1471C211yesmaximal, characteristic, complemented
12#16840344—22no—
13#16840344—22no—
14#16840344—22no—
15#16840344—22no—
16C2×#14519772C411yescharacteristic
17C2×#14519770C2211yescharacteristic
18C2×#14519764C411yescharacteristic
19C2×#14519763C2211yescharacteristic
20C2×#14519760C2211yescharacteristic
21C2×#14519758C411yescharacteristic
22C2×#14519755C411yescharacteristic
23C2×#14519749C411yescharacteristic
24C2×#14519748C411yescharacteristic
25C2×#14519745C411yescharacteristic
26C2×#14519745C411yescharacteristic
27C2×C4×C22⋊D61C2211yescharacteristic
28C2×#14519737C2211yescharacteristic
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#16839487C2212yescomplemented
41#16839487C2212yescomplemented
42#16839486C2212yes—
43#16839486C2212yescomplemented
44#16839485C2212yes—
45#16839485C2212yes—
46C2×#121×C61C2211yescharacteristic
47C61×#407C2211yescharacteristic, complemented
48C2×C22⋊C8×C61C2211yescharacteristic, complemented
49C61×#323C2212yes—
50C61×#323C2212yescomplemented
51C24×D61C2×C411yescharacteristic
52C22×Dic122C2×C411yescharacteristic
53C22×C22⋊D61C2×C411yescharacteristic
54C22×C22⋊D61C2×C411yescharacteristic
55C22×C22⋊D61C2×C411yescharacteristic
56C22×C22⋊D61C2×C411yescharacteristic
57C23×Dic61C2×C411yescharacteristic
58C22×C4×D61C2×C411yescharacteristic
59C22×C4×D61C2311yescharacteristic
60C2×#11758194—21no—
61C2×#11758189—22no—
62C2×#11758189—22no—
63C22×#92418—21no—
64#14519772—22no—
65#14519772—22no—
66#14519770—22no—
67#14519770—22no—
68#14519764—22no—
69#14519764—22no—
70#14519763—22no—
71#14519763—22no—
72#14519760—21no—
73#14519760—21no—
74#14519760—21no—
75#14519760—21no—
76#14519758—22no—
77#14519758—22no—
78#14519755—22no—
79#14519755—22no—
80#14519749—22no—
81#14519749—22no—
82#14519748—22no—
83#14519748—22no—
84#14519745—22no—
85#14519745—22no—
86#14519745—22no—
87#14519745—22no—
88C4×C22⋊D61D412yes—
89C4×C22⋊D61D412yes—
90C4×C22⋊D61D412yes—
91C4×C22⋊D61D412yes—
92#14519737—22no—
93#14519737—22no—
94C2×C4⋊Dic61C2×C411yescharacteristic
95C2×#11758196C2×C411yescharacteristic
96C2×#11758196C2×C411yescharacteristic
97C2×#11758196C2×C411yescharacteristic
98C2×#11758196C2311yescharacteristic
99C2×C22⋊Dic61C2×C411yescharacteristic
100C2×C22⋊Dic61C2×C411yescharacteristic
101C2×C22⋊Dic61C2×C411yescharacteristic
102C2×C22⋊Dic61C2×C411yescharacteristic
103C2×C22⋊Dic61C2×C411yescharacteristic
104C2×C22⋊Dic61C2×C411yescharacteristic
105C2×#11758198C2×C411yescharacteristic
106C2×#11758198C2×C411yescharacteristic
107C2×#11758198C2×C411yescharacteristic
108C2×#11758198C2×C411yescharacteristic
109C2×#11758198C2×C411yescharacteristic
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
126C22×D4×C61C2×C411yescharacteristic
127C22×D4×C61C2×C411yescharacteristic
128C23×C4×C61C2311yescharacteristic
129C2×M16×C61—21no—
130C22×C8×C61—21no—
131#121×C61—21no—
132#121×C61—21no—
133#121×C61—21no—
134#121×C61—21no—
135C2×C4⋊C4×C61C2×C411yescharacteristic
136C2×C22⋊C4×C61C2311yescharacteristic
137C2×C22⋊C4×C61C2311yescharacteristic
138C22⋊C8×C61—21no—
139C22⋊C8×C61—21no—
140C22⋊C8×C61C2312yes—
141C22⋊C8×C61C2312yes—
142C24×C61C22×C411yescharacteristic
143C24×C61C22×C411yescharacteristic
144C24×C61C22×C411yescharacteristic
145C23×D61—22no—
146C23×D61—42no—
147C23×D61—81no—
148C23×D61—81no—
149C23×D61C22×C411yescharacteristic
150C23×D61C22×C411yescharacteristic
151C2×D4×C61—21no—
152C2×D4×C61—21no—
153C2×D4×C61—21no—
154C2×D4×C61—21no—
155C2×D4×C61—21no—
156C2×D4×C61—21no—
157C2×D4×C61—81no—
158C2×D4×C61—81no—
159C2×D4×C61—81no—
160C22×C4×C61—81no—
161C22×C4×C61C22×C411yescharacteristic
162C22×C4×C61C22×C411yescharacteristic
163C22×C4×C61C22×C411yescharacteristic
164C22×C4×C61C2×D411yescharacteristic
165C22×C4×C61C2×D411yescharacteristic
166C22×C4×C61C2×D411yescharacteristic
167C22×C4×C61C2×D411yescharacteristic
168C22×C4×C61C2411yescharacteristic
169C2×C22⋊D61—22no—
170C2×C22⋊D61—21no—
171C2×C22⋊D61—21no—
172C2×C22⋊D61—22no—
173C2×C22⋊D61—42no—
174C2×C22⋊D61—42no—
175C2×C22⋊D61—81no—
176C2×C22⋊D61—81no—
177C2×C22⋊D61C22⋊C412yes—
178C2×C22⋊D61C22⋊C412yes—
179C22×Dic61—22no—
180C22×Dic61—81no—
181C22×Dic61C22×C411yescharacteristic
182C22×Dic61C22×C411yescharacteristic
183C22×Dic61C22×C411yescharacteristic
184C22×Dic61C22×C411yescharacteristic
185C22×Dic61C22×C411yescharacteristic
186C22×Dic61C22×C411yescharacteristic
187C2×C4×D61—22no—
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—
200C22⋊C4×C61—21no—
201C22⋊C4×C61—21no—
202C22⋊C4×C61—21no—
203C22⋊C4×C61—21no—
204C22⋊Dic61—21no—
205C22⋊Dic61—21no—
206C22⋊Dic61—22no—
207C22⋊Dic61—22no—
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#11758198C22⋊C412yes—
220#11758198C22⋊C412yes—
221C4⋊Dic61—22no—
222#11758196—21no—
223#11758196—21no—
224#11758196—21no—
225#11758196—21no—
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—21no—
241C23×C61—22no—
242C23×C61—22no—
243C23×C61—41no—
244C23×C61—41no—
245C23×C61—41no—
246C23×C61—41no—
247C23×C61—41no—
248C23×C61—41no—
249C23×C61C2×C22⋊C411yescharacteristic
250C23×C61C2×C22⋊C411yescharacteristic
251C23×C61C23×C411yescharacteristic
252C22×D61—22no—
253C22×D61—21no—
254C22×D61—22no—
255C22×D61—41no—
256C22×D61—41no—
257C22×D61—44no—
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—
266D4×C61—81no—
267D4×C61—81no—
268D4×C61—81no—
269D4×C61—81no—
270C2×C4×C61—21no—
271C2×C4×C61—21no—
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×C61—41no—
279C2×C4×C61—41no—
280C2×C4×C61C2×C22⋊C411yescharacteristic
281C2×C4×C61C2×C22⋊C411yescharacteristic
282C2×C4×C61C22×D411yescharacteristic
283C2×C4×C61C22×D411yescharacteristic
284C22⋊D61—42no—
285C22⋊D61—42no—
286C22⋊D61—44no—
287C22⋊D61—82no—
288C22⋊D61—81no—
289C22⋊D61—81no—
290C2×Dic61—22no—
291C2×Dic61—21no—
292C2×Dic61—21no—
293C2×Dic61—21no—
294C2×Dic61—22no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297C2×Dic61—41no—
298C2×Dic61—41no—
299C2×Dic61—82no—
300C2×Dic61C2×C22⋊C412yes—
301C2×Dic61C2×C22⋊C412yes—
302C2×Dic61C2×C22⋊C412yes—
303C4×D61—42no—
304C4×D61—42no—
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—41no—
324C22×C61—41no—
325C22×C61—41no—
326C22×C61—82no—
327C22×C61—82no—
328C22×C61—82no—
329C22×C61C22×C22⋊C411yescharacteristic
330C22×C61#56812yes—
331C2×D61—22no—
332C2×D61—22no—
333C2×D61—22no—
334C2×D61—44no—
335C2×D61—41no—
336C2×D61—41no—
337C2×D61—41no—
338C2×D61—88no—
339C2×D61—82no—
340C4×C61—21no—
341C4×C61—21no—
342C4×C61—21no—
343C4×C61—21no—
344C4×C61—41no—
345C4×C61—41no—
346Dic61—22no—
347Dic61—22no—
348Dic61—22no—
349Dic61—41no—
350Dic61—41no—
351Dic61—41no—
352C2×#538—611no—
353#2975—611no—
354#2973—611no—
355#1473—612no—
356#1471—611no—
357#1471D6111yescharacteristic, complemented
358#1469—612no—
359#1468—611no—
360#1468—611no—
361#1465—612no—
362#1462—612no—
363C2×C61—22no—
364C2×C61—41no—
365C2×C61—41no—
366C2×C61—81no—
367C2×C61—81no—
368C2×C61#287911yescharacteristic
369C2×C61#288311yescharacteristic
370C2×C61#288811yescharacteristic
371D61—42no—
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×#123—611no—
383C2×C22⋊Q8—611no—
384C2×#121—611no—
385C2×#121—611no—
386C2×#121C2×D6111yescharacteristic
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#324—612no—
406#323—612no—
407#323—612no—
408#323—612no—
409#323—612no—
410#323C2×D6112yes—
411#323C2×D6112yescomplemented
412C61#1740511yescharacteristic, complemented, Sylow
413C25—611no—
414C22×Q8—611no—
415C22×D4—611no—
416C22×D4—611no—
417C22×D4—611no—
418C22×D4—611no—
419C22×D4C4×D6111yescharacteristic
420C22×D4C4×D6111yescharacteristic
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—1222no—
441#123—1222no—
442#123—1221no—
443#123—1221no—
444#123—1221no—
445#123—1221no—
446C22⋊Q8—1222no—
447C22⋊Q8—1222no—
448#121—21no—
449#121—21no—
450#121—21no—
451#121—21no—
452#121—1222no—
453#121—1222no—
454#121—1222no—
455#121—1222no—
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⋊C4—611no—
471C2×C4⋊C4C4×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—611no—
484C2×C22⋊C4—1222no—
485C2×C22⋊C4—1222no—
486C2×C22⋊C4C22×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—1222no—
507C24—4881no—
508C24—4881no—
509C24—2442no—
510C24C2×C4×D6111yescharacteristic
511C24C2×C4×D6111yescharacteristic
512C24C2×C4×D6111yescharacteristic
513C2×Q8—1222no—
514C2×Q8—4881no—
515C2×D4—21no—
516C2×D4—21no—
517C2×D4—21no—
518C2×D4—21no—
519C2×D4—21no—
520C2×D4—21no—
521C2×D4—81no—
522C2×D4—81no—
523C2×D4—81no—
524C2×D4—612no—
525C2×D4—612no—
526C2×D4—1222no—
527C2×D4—1221no—
528C2×D4—1221no—
529C2×D4—1222no—
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—611no—
543C22×C4—1222no—
544C22×C4—1222no—
545C22×C4—4881no—
546C22×C4—4881no—
547C22×C4—4881no—
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—612no—
569C4⋊C4—612no—
570C4⋊C4—1222no—
571C4⋊C4—1222no—
572C4⋊C4—1221no—
573C4⋊C4—1221no—
574C4⋊C4—1221no—
575C4⋊C4—1221no—
576C22⋊C4—21no—
577C22⋊C4—21no—
578C22⋊C4—21no—
579C22⋊C4—21no—
580C22⋊C4—612no—
581C22⋊C4—612no—
582C22⋊C4—612no—
583C22⋊C4—612no—
584C22⋊C4—1222no—
585C22⋊C4—1222no—
586C22⋊C4—1222no—
587C22⋊C4—1222no—
588C22⋊C4—1222no—
589C22⋊C4—1222no—
590C22⋊C4—1222no—
591C22⋊C4—1221no—
592C22⋊C4—1221no—
593C22⋊C4—1221no—
594C22⋊C4—1221no—
595C22⋊C4—1221no—
596C22⋊C4—1221no—
597C42—612no—
598C42—612no—
599C42—1222no—
600C23—22no—
601C23—21no—
602C23—21no—
603C23—22no—
604C23—22no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—612no—
612C23—1222no—
613C23—1222no—
614C23—1221no—
615C23—4882no—
616C23—4882no—
617C23—4888no—
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—81no—
630D4—81no—
631D4—81no—
632D4—81no—
633D4—4882no—
634D4—4881no—
635D4—4881no—
636D4—2442no—
637D4—2442no—
638D4—2444no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—612no—
650C2×C4—612no—
651C2×C4—612no—
652C2×C4—1222no—
653C2×C4—1221no—
654C2×C4—1221no—
655C2×C4—1221no—
656C2×C4—1222no—
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—41no—
685C22—41no—
686C22—41no—
687C22—82no—
688C22—82no—
689C22—82no—
690C22—1222no—
691C22—1222no—
692C22—1222no—
693C22—4882no—
694C22—4888no—
695C22—2444no—
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—1222no—
708C4—1222no—
709C4—1222no—
710C4—2441no—
711C4—2441no—
712C4—2441no—
713C2—22no—
714C2—41no—
715C2—41no—
716C2—81no—
717C2—81no—
718C2—4881no—
719C2—2442no—
720C2#2145426111yescharacteristic
721C2#2145427711yescharacteristic
722C2#2145429511yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D61
commutatorC23×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1471C2
socleC22×C61C22×C22⋊C4
prime radicalC2×#16840344C2
cosocleC22×C4×C61C24
hypercenter#1471D61
hypocenterC61#17405
LCSG ▷ C23×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #1471

Complements

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

NH ≅ G/Ntype
2. #21454858C2semidirect
3. #21454845C2semidirect
4. #21444185C2semidirect
5. #21444179C2semidirect
6. #21444169C2semidirect
7. #21444168C2semidirect
8. #21444165C2semidirect
9. #21444154C2semidirect
10. #21444144C2semidirect
11. C61×#1471C2semidirect
34. #16839816C22semidirect
35. #16839812C22semidirect
36. #16839726C22semidirect
39. C2×C22⋊#92418C22semidirect
40. #16839487C22semidirect
41. #16839487C22semidirect
43. #16839486C22semidirect
47. C61×#407C22semidirect
48. C2×C22⋊C8×C61C22semidirect
50. C61×#323C22semidirect
357. #1471D61semidirect
401. #407C2×D61semidirect
403. C2×C22⋊C8C2×D61semidirect
411. #323C2×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×#168403442
#214548582
#214548452
#214441852
#214441792
#214441692
#214441682
#214441652
#214441542
#214441442
C61×#14712
#1740561