Finite Group Databasebeta

← #29730341

Subgroups — #29730341

Order 15616.

916 conjugacy classes of subgroups.

The subgroup lattice has 720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840063C211yesmaximal, characteristic, complemented
2#21450985C211yesmaximal, characteristic, complemented
3#21450732C211yesmaximal, characteristic
4#21447252C211yesmaximal, characteristic, complemented
5#21447242C211yesmaximal, characteristic, complemented
6#21447009C211yesmaximal, characteristic, complemented
7#21447009C211yesmaximal, characteristic, complemented
8#21446788C211yesmaximal, characteristic, complemented
9#21446583C211yesmaximal, characteristic, complemented
10#21446257C211yesmaximal, characteristic, complemented
11#21446247C211yesmaximal, characteristic, complemented
12#21445852C211yesmaximal, characteristic, complemented
13#21445844C211yesmaximal, characteristic, complemented
14#21445645C211yesmaximal, characteristic, complemented
15C2×C61×#435C211yesmaximal, characteristic, complemented
16C2×#14519769C2211yescharacteristic
17C2×#14519751C2211yescharacteristic
18C2×#14519751C2211yescharacteristic
19C2×#14519748—21no—
20C2×C4×D244C2211yescharacteristic
21#16840063—24no—
22C2×#14519711C2211yescharacteristic
23C2×#14519709C2211yescharacteristic
24C2×#14519709C2211yescharacteristic
25C2×#14519709C2211yescharacteristic
26C2×#14519699C2211yescharacteristic
27C2×#14519699C2211yescharacteristic
28C2×#14519699C2211yescharacteristic
29C2×#14519699C2211yescharacteristic
30#16839700—21no—
31#16839678—21no—
32#16839678—21no—
33#16839676—21no—
34#16839656—21no—
35#16839656—21no—
36#16839632C2211yescharacteristic
37#16839622C2211yescharacteristic
38#16839622C2211yescharacteristic
39#16839622C2211yescharacteristic
40#16839622C2211yescharacteristic
41#16839622C2211yescharacteristic
42#16839622C2211yescharacteristic
43#16839619—21no—
44C4×C4⋊Dic61C2211yescharacteristic
45#16839525C2211yescharacteristic
46#16839525C2211yescharacteristic
47#16839525C2211yescharacteristic
48#16839525C2211yescharacteristic
49#16839525C2211yescharacteristic
50#16839525C2211yescharacteristic
51#16839525C2211yescharacteristic
52#16839525C2211yescharacteristic
53C22×M16×C61C2211yescharacteristic
54C23×C8×C61C2211yescharacteristic
55C2×C4×D4×C61C2211yescharacteristic
56C61×#435—24no—
57C2×C4⋊C8×C61C2211yescharacteristic
58C2×C22⋊C8×C61C2211yescharacteristic
59C2×C22⋊C8×C61C2211yescharacteristic
60C2×#97×C61C2211yescharacteristic
61C22×D244C2311yescharacteristic
62C22×C22⋊D61—21no—
63C22×C22⋊D61—21no—
64C22×C4×D61—21no—
65#14519769—22no—
66#14519769—22no—
67#14519751—22no—
68#14519751—22no—
69#14519751—41no—
70#14519751—41no—
71#14519748—44no—
72C4×D244—22no—
73C4×D244—22no—
74C2×C4⋊Dic61—21no—
75C2×C4⋊Dic61—21no—
76C2×C4⋊Dic61C2311yescharacteristic
77C2×C4⋊Dic61C2311yescharacteristic
78C2×C4⋊Dic61C2311yescharacteristic
79C2×C4⋊Dic61C2311yescharacteristic
80C2×C4⋊Dic61C2311yescharacteristic
81C2×C4⋊Dic61C2311yescharacteristic
82C2×C4⋊Dic61C2311yescharacteristic
83C2×#11758196—21no—
84C2×#11758196—21no—
85C2×C22⋊Dic61—21no—
86C2×C22⋊Dic61—21no—
87C2×C22⋊Dic61—21no—
88C2×C22⋊Dic61—21no—
89C2×C22⋊Dic61—21no—
90C2×C22⋊Dic61—21no—
91C2×#11758198—21no—
92C2×#11758198—21no—
93C2×#11758198—21no—
94C2×C4×Dic61—21no—
95#14519711—22no—
96#14519709—22no—
97#14519709—41no—
98#14519709—41no—
99#14519699—22no—
100#14519699—22no—
101#14519699—22no—
102#14519699—22no—
103#14519684—21no—
104#14519684—21no—
105#14519684—21no—
106#14519684—21no—
107#14519684—21no—
108#14519684—21no—
109#14519684—21no—
110C22×D4×C61D411yescharacteristic
111C23×C4×C61C2311yescharacteristic
112C23×C4×C61C2311yescharacteristic
113C2×M16×C61—22no—
114C2×M16×C61—22no—
115C2×M16×C61—41no—
116C22×C8×C61—22no—
117C22×C8×C61—22no—
118C22×C8×C61—41no—
119C22×C8×C61C2311yescharacteristic
120C22×C8×C61C2311yescharacteristic
121C22×C8×C61C2311yescharacteristic
122C22×C8×C61C2311yescharacteristic
123C4×D4×C61—22no—
124C4×D4×C61—22no—
125C2×C4⋊C4×C61D411yescharacteristic
126C2×C22⋊C4×C61D411yescharacteristic
127C2×C22⋊C4×C61D411yescharacteristic
128C2×C42×C61C2311yescharacteristic
129C4⋊C8×C61D414yescomplemented
130C22⋊C8×C61—22no—
131C22⋊C8×C61—22no—
132#97×C61—22no—
133C24×C61C2×D411yescharacteristic
134C24×C61C2×D411yescharacteristic
135C23×D61—21no—
136C2×D4×C61—22no—
137C2×D4×C61—22no—
138C2×D4×C61—41no—
139C22×C4×C61—21no—
140C22×C4×C61—21no—
141C22×C4×C61—21no—
142C22×C4×C61—21no—
143C22×C4×C61—21no—
144C22×C4×C61—21no—
145C22×C4×C61—21no—
146C22×C4×C61—21no—
147C22×C4×C61—21no—
148C22×C4×C61—21no—
149C22×C4×C61—21no—
150C22×C4×C61—21no—
151C22×C4×C61C2×D411yescharacteristic
152C22×C4×C61C2×D411yescharacteristic
153C22×C4×C61C2×D411yescharacteristic
154C22×C4×C61C2×D411yescharacteristic
155C22×C4×C61C2411yescharacteristic
156C2×C22⋊D61—42no—
157C2×C22⋊D61—42no—
158C2×C22⋊D61—42no—
159C2×C22⋊D61—42no—
160C2×C22⋊D61—81no—
161C2×C22⋊D61—81no—
162C22×Dic61—21no—
163C22×Dic61—21no—
164C22×Dic61—21no—
165C22×Dic61—21no—
166C22×Dic61—21no—
167C22×Dic61—21no—
168C22×Dic61—21no—
169C2×D244—21no—
170C2×D244—21no—
171C2×D244—21no—
172C2×D244—21no—
173C2×D244—21no—
174C2×D244#4112yes—
175C2×C4×D61—42no—
176C2×C4×D61—42no—
177C2×C4×D61—42no—
178M16×C61—44no—
179C2×C8×C61—21no—
180C2×C8×C61—21no—
181C2×C8×C61—21no—
182C2×C8×C61—21no—
183C2×C8×C61—21no—
184C2×C8×C61—21no—
185C2×C8×C61—21no—
186C2×C8×C61—21no—
187C2×C8×C61—21no—
188C2×C8×C61—44no—
189C2×C8×C61C2×D412yes—
190C2×C8×C61C2×D412yes—
191C2×C8×C61#4112yes—
192C4⋊C4×C61—22no—
193C22⋊C4×C61—22no—
194C22⋊C4×C61—22no—
195C42×C61C2×D412yes—
196C42×C61#4112yes—
197C22⋊Dic61—42no—
198C22⋊Dic61—42no—
199C22⋊Dic61—42no—
200C22⋊Dic61—42no—
201C22⋊Dic61—81no—
202C22⋊Dic61—81no—
203#11758198—42no—
204#11758198—42no—
205#11758198—42no—
206C4⋊Dic61—21no—
207C4⋊Dic61—21no—
208C4⋊Dic61—21no—
209C4⋊Dic61—21no—
210C4⋊Dic61—21no—
211C4⋊Dic61—21no—
212C4⋊Dic61—21no—
213C4⋊Dic61—21no—
214C4⋊Dic61—21no—
215C4⋊Dic61—21no—
216C4⋊Dic61—21no—
217C4⋊Dic61—21no—
218C4⋊Dic61—21no—
219C4⋊Dic61—21no—
220C4⋊Dic61—42no—
221C4⋊Dic61—81no—
222#11758196—42no—
223#11758196—42no—
224C4×Dic61—81no—
225C23×C61—21no—
226C23×C61—21no—
227C23×C61—21no—
228C23×C61—21no—
229C23×C61—21no—
230C23×C61—21no—
231C23×C61—21no—
232C23×C61—21no—
233C23×C61—21no—
234C23×C61—21no—
235C23×C61—21no—
236C23×C61—21no—
237C23×C61—21no—
238C23×C61AGL(1,ℤ/8)12yes—
239C23×C61C22×D411yescharacteristic
240C22×D61—22no—
241C22×D61—41no—
242C22×D61—41no—
243C22×D61—41no—
244C22×D61—41no—
245C22×D61—41no—
246C22×D61—41no—
247D4×C61—44no—
248C2×C4×C61—21no—
249C2×C4×C61—21no—
250C2×C4×C61—21no—
251C2×C4×C61—21no—
252C2×C4×C61—21no—
253C2×C4×C61—21no—
254C2×C4×C61—21no—
255C2×C4×C61—21no—
256C2×C4×C61—21no—
257C2×C4×C61—21no—
258C2×C4×C61—41no—
259C2×C4×C61—41no—
260C2×C4×C61—41no—
261C2×C4×C61—41no—
262C2×C4×C61—41no—
263C2×C4×C61—41no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61#12112yes—
267C2×C4×C61#12112yes—
268C2×C4×C61C22×D411yescharacteristic
269C2×C4×C61C2×#4111yescharacteristic
270C2×C4×C61C2×#4111yescharacteristic
271C2×C4×C61C2×#4111yescharacteristic
272C2×C4×C61H(5,𝔽2)11yescharacteristic
273C2×C4×C612−1+411yescharacteristic
274C22⋊D61—84no—
275C22⋊D61—84no—
276C2×Dic61—41no—
277C2×Dic61—41no—
278C2×Dic61—41no—
279C2×Dic61—41no—
280C2×Dic61—41no—
281C2×Dic61—41no—
282C2×Dic61—41no—
283C2×Dic61—41no—
284C2×Dic61—41no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—41no—
288C2×Dic61—41no—
289C2×Dic61—41no—
290C2×Dic61—41no—
291C2×Dic61—41no—
292C2×Dic61—41no—
293C2×Dic61—41no—
294C2×Dic61—41no—
295C2×Dic61—41no—
296C2×Dic61—41no—
297D244—22no—
298D244—22no—
299D244—41no—
300D244—41no—
301C4×D61—84no—
302C8×C61—22no—
303C8×C61—22no—
304C8×C61—22no—
305C8×C61—41no—
306#25355—611nomaximal, Sylow
307C22×C61—22no—
308C22×C61—22no—
309C22×C61—22no—
310C22×C61—41no—
311C22×C61—41no—
312C22×C61—41no—
313C22×C61—41no—
314C22×C61—41no—
315C22×C61—41no—
316C22×C61—41no—
317C22×C61—41no—
318C22×C61—41no—
319C22×C61—41no—
320C22×C61—41no—
321C22×C61C2×#12111yescharacteristic
322C22×C61#54611yescharacteristic
323C22×C61#54711yescharacteristic
324C22×C61C2×AGL(1,ℤ/8)11yescharacteristic
325C22×C61#57511yescharacteristic
326C22×C61#57711yescharacteristic
327C22×C61#57711yescharacteristic
328C2×D61—42no—
329C2×D61—42no—
330C2×D61—42no—
331C2×D61—81no—
332C2×D61—81no—
333C2×D61—81no—
334C2×D61—81no—
335C4×C61—22no—
336C4×C61—22no—
337C4×C61—41no—
338C4×C61—41no—
339C4×C61#52911yescharacteristic
340C4×C61#54211yescharacteristic
341C4×C61#54611yescharacteristic
342C4×C61#54811yescharacteristic
343Dic61—81no—
344Dic61—81no—
345Dic61—81no—
346Dic61—81no—
347Dic61—81no—
348Dic61—81no—
349Dic61—81no—
350C2×#478—611no—
351C2×#435D6111yescharacteristic, complemented
352#2562—611no—
353#2537—611no—
354#2077—611no—
355#2075—611no—
356#2034—611no—
357#2034—611no—
358#1992—611no—
359#1948—611no—
360#1895—611no—
361#1893—611no—
362#1809—611no—
363#1807—611no—
364#1762—611no—
365C2×C61—42no—
366C2×C61—81no—
367C2×C61#242711yescharacteristic
368C2×C61#305511yescharacteristic
369C2×C61#306011yescharacteristic
370C2×C61#330711yescharacteristic
371C2×C61#331011yescharacteristic
372C2×C61#334511yescharacteristic
373C2×C61#334811yescharacteristic
374D61—82no—
375C22×M16C2×D6111yescharacteristic
376C23×C8C2×D6111yescharacteristic
377C2×#125—611no—
378C2×#121—611no—
379C2×#121—611no—
380C2×#121—1221no—
381C2×C4×D4—611no—
382C2×C4×D4C2×D6111yescharacteristic
383#478—1224no—
384#435—24no—
385C2×#107—611no—
386C2×#106—611no—
387C2×#106—611no—
388C2×#106—611no—
389C2×C4⋊C8C2×D6111yescharacteristic
390C2×#102—611no—
391C2×#102—611no—
392C2×#102—611no—
393C2×#102—611no—
394C2×C22⋊C8C2×D6111yescharacteristic
395C2×C22⋊C8C2×D6111yescharacteristic
396C2×#97C2×D6111yescharacteristic
397#400—1221no—
398#394—1221no—
399#394—1221no—
400#394—1221no—
401#388—1221no—
402#388—1221no—
403#384—611no—
404#380—611no—
405#380—611no—
406#380—611no—
407#380—611no—
408#380—611no—
409#380—611no—
410#380—1221no—
411C4×C4⋊C4—611no—
412#340—611no—
413#340—611no—
414#340—611no—
415#340—611no—
416#340—611no—
417#340—611no—
418#340—611no—
419#340—611no—
420C61#2535511yescharacteristic, complemented, Sylow
421C22×D4—611no—
422C22×D4—1221no—
423C22×D4—1221no—
424C22×D4D24411yescharacteristic
425C23×C4—1221no—
426C23×C4C22×D6111yescharacteristic
427C23×C4C22×D6111yescharacteristic
428C2×M16—22no—
429C2×M16—22no—
430C2×M16—41no—
431C22×C8—22no—
432C22×C8—22no—
433C22×C8—41no—
434C22×C8C22×D6111yescharacteristic
435C22×C8C22×D6111yescharacteristic
436C22×C8C22×D6111yescharacteristic
437C22×C8C22×D6111yescharacteristic
438#125—1222no—
439#125—1222no—
440#121—1222no—
441#121—1222no—
442#121—2441no—
443#121—2441no—
444#121—2444no—
445C4×D4—22no—
446C4×D4—22no—
447C4×D4—1222no—
448C4×D4—1222no—
449C2×C4⋊C4—611no—
450C2×C4⋊C4—611no—
451C2×C4⋊C4—611no—
452C2×C4⋊C4—611no—
453C2×C4⋊C4—611no—
454C2×C4⋊C4—611no—
455C2×C4⋊C4—611no—
456C2×C4⋊C4—1221no—
457C2×C4⋊C4—1221no—
458C2×C4⋊C4—1221no—
459C2×C4⋊C4—1221no—
460C2×C4⋊C4D24411yescharacteristic
461C2×C22⋊C4—1221no—
462C2×C22⋊C4—1221no—
463C2×C22⋊C4—1221no—
464C2×C22⋊C4—1221no—
465C2×C22⋊C4—1221no—
466C2×C22⋊C4—1221no—
467C2×C22⋊C4—1221no—
468C2×C22⋊C4—1221no—
469C2×C22⋊C4—1221no—
470C2×C22⋊C4D24411yescharacteristic
471C2×C22⋊C4D24411yescharacteristic
472C2×C42—1221no—
473C2×C42C22×D6111yescharacteristic
474#107—1222no—
475#106—1222no—
476#106—2441no—
477#106—2441no—
478C4⋊C8C22⋊D6114yescomplemented
479#102—1222no—
480#102—1222no—
481#102—1222no—
482#102—1222no—
483C22⋊C8—22no—
484C22⋊C8—22no—
485#97—22no—
486#95—1221no—
487#95—1221no—
488#95—1221no—
489#95—1221no—
490#95—1221no—
491#95—1221no—
492#95—1221no—
493C24—1221no—
494C24C2×D24411yescharacteristic
495C24C2×D24411yescharacteristic
496C2×D4—22no—
497C2×D4—22no—
498C2×D4—41no—
499C2×D4—612no—
500C2×D4—1221no—
501C2×D4—1221no—
502C2×D4—1221no—
503C2×D4—1221no—
504C2×D4—1221no—
505C2×D4—4881no—
506C2×D4—4881no—
507C2×D4—2442no—
508C2×D4—2442no—
509C2×D4—2442no—
510C2×D4—2442no—
511C22×C4—21no—
512C22×C4—21no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—21no—
520C22×C4—21no—
521C22×C4—21no—
522C22×C4—21no—
523C22×C4—1221no—
524C22×C4—1221no—
525C22×C4—1221no—
526C22×C4—1221no—
527C22×C4—1221no—
528C22×C4—1221no—
529C22×C4—1221no—
530C22×C4—2442no—
531C22×C4—2442no—
532C22×C4—2442no—
533C22×C4C2×D24411yescharacteristic
534C22×C4C2×D24411yescharacteristic
535C22×C4C2×D24411yescharacteristic
536C22×C4C2×D24411yescharacteristic
537C22×C4C23×D6111yescharacteristic
538M16—44no—
539C2×C8—21no—
540C2×C8—21no—
541C2×C8—21no—
542C2×C8—21no—
543C2×C8—21no—
544C2×C8—21no—
545C2×C8—21no—
546C2×C8—21no—
547C2×C8—21no—
548C2×C8—44no—
549C2×C8#1175822412yes—
550C2×C8C2×C22⋊D6112yes—
551C2×C8C2×C22⋊D6112yes—
552C4⋊C4—22no—
553C4⋊C4—1221no—
554C4⋊C4—1221no—
555C4⋊C4—1221no—
556C4⋊C4—1221no—
557C4⋊C4—1221no—
558C4⋊C4—1221no—
559C4⋊C4—1221no—
560C4⋊C4—1221no—
561C4⋊C4—1221no—
562C4⋊C4—1221no—
563C4⋊C4—1221no—
564C4⋊C4—1221no—
565C4⋊C4—1221no—
566C4⋊C4—1221no—
567C4⋊C4—4881no—
568C4⋊C4—2442no—
569C4⋊C4—2442no—
570C4⋊C4—2442no—
571C22⋊C4—22no—
572C22⋊C4—22no—
573C22⋊C4—4881no—
574C22⋊C4—4881no—
575C22⋊C4—2442no—
576C22⋊C4—2442no—
577C22⋊C4—2442no—
578C22⋊C4—2442no—
579C22⋊C4—2442no—
580C22⋊C4—2442no—
581C22⋊C4—2442no—
582C42—4881no—
583C42#1175822212yes—
584C42C2×C22⋊D6112yes—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—1222no—
599C23—2441no—
600C23—2441no—
601C23—2441no—
602C23—2441no—
603C23—2441no—
604C23—2441no—
605C23#1451980512yes—
606C23C22×D24411yescharacteristic
607D4—44no—
608D4—1222no—
609D4—1222no—
610D4—4884no—
611D4—4884no—
612D4—2441no—
613D4—2441no—
614C2×C4—21no—
615C2×C4—21no—
616C2×C4—21no—
617C2×C4—21no—
618C2×C4—21no—
619C2×C4—21no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—41no—
625C2×C4—41no—
626C2×C4—41no—
627C2×C4—41no—
628C2×C4—41no—
629C2×C4—41no—
630C2×C4—41no—
631C2×C4—41no—
632C2×C4—4884no—
633C2×C4—2441no—
634C2×C4—2441no—
635C2×C4—2441no—
636C2×C4—2441no—
637C2×C4—2441no—
638C2×C4—2441no—
639C2×C4—2441no—
640C2×C4—2441no—
641C2×C4—2441no—
642C2×C4—2441no—
643C2×C4—2441no—
644C2×C4—2441no—
645C2×C4—2441no—
646C2×C4—2441no—
647C2×C4—2441no—
648C2×C4—2441no—
649C2×C4—2441no—
650C2×C4—2441no—
651C2×C4—2441no—
652C2×C4—2441no—
653C2×C4—2441no—
654C2×C4#1451975112yes—
655C2×C4#1451975112yes—
656C2×C4C22×C22⋊D6111yescharacteristic
657C2×C4#41×D6111yescharacteristic
658C2×C4C2×#1175822411yescharacteristic
659C2×C4C2×#1175822211yescharacteristic
660C2×C4#1451982211yescharacteristic
661C2×C4#1451982411yescharacteristic
662C8—22no—
663C8—22no—
664C8—22no—
665C8—41no—
666C22—22no—
667C22—22no—
668C22—22no—
669C22—41no—
670C22—41no—
671C22—41no—
672C22—41no—
673C22—41no—
674C22—41no—
675C22—41no—
676C22—41no—
677C22—41no—
678C22—41no—
679C22—41no—
680C22—4881no—
681C22—4881no—
682C22—4881no—
683C22—4881no—
684C22—2442no—
685C22—2442no—
686C22—2442no—
687C22C2×#1451975111yescharacteristic
688C22#1684040711yescharacteristic
689C22#1684041611yescharacteristic
690C22C2×#1451980511yescharacteristic
691C22#1684056211yescharacteristic
692C22#1684057411yescharacteristic
693C22#1684057411yescharacteristic
694C4—22no—
695C4—22no—
696C4—41no—
697C4—41no—
698C4—4881no—
699C4—4881no—
700C4—4881no—
701C4—4881no—
702C4—4881no—
703C4—4881no—
704C4—4881no—
705C4#1684029411yescharacteristic
706C4#1684037711yescharacteristic
707C4#1684040611yescharacteristic
708C4#1684041911yescharacteristic
709C2—42no—
710C2—81no—
711C2—4882no—
712C2#2144939011yescharacteristic
713C2#2145543811yescharacteristic
714C2#2145548111yescharacteristic
715C2#2145779711yescharacteristic
716C2#2145784211yescharacteristic
717C2#2145829111yescharacteristic
718C2#2145833611yescharacteristic
subgroupG/H
centerC23C22×D244
commutator, cosocleC22×C4×C61C24
FrattiniC22×C4C23×D61
FittingC2×C61×#435C2
socleC23×C61C22×D4
prime radical#21450732C2
hypercenterC2×#435D61
hypocenterC61#25355
LCSG ▷ C22×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C23 ◁ C2×C4×D4 ◁ C2×#435

Complements

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

NH ≅ G/Ntype
1. C2×#16840063C2semidirect
2. #21450985C2semidirect
4. #21447252C2semidirect
5. #21447242C2semidirect
6. #21447009C2semidirect
7. #21447009C2semidirect
8. #21446788C2semidirect
9. #21446583C2semidirect
10. #21446257C2semidirect
11. #21446247C2semidirect
12. #21445852C2semidirect
13. #21445844C2semidirect
14. #21445645C2semidirect
15. C2×C61×#435C2semidirect
129. C4⋊C8×C61D4semidirect
351. C2×#435D61semidirect
420. C61#25355semidirect
478. C4⋊C8C22⋊D61semidirect

Maximal subgroups

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

subgroupindex
C2×#168400632
#214509852
#214507322
#214472522
#214472422
#214470092
#214467882
#214465832
#214462572
#214462472
#214458522
#214458442
#214456452
C2×C61×#4352
#2535561