Finite Group Databasebeta

← #29648541

Subgroups — #29648541

Order 15616.

1232 conjugacy classes of subgroups.

The subgroup lattice has 730 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#532×D61C211yesmaximal, characteristic
2#21454447C211yesmaximal, characteristic, complemented
3C2×#16839818C211yesmaximal, characteristic, complemented
4#21444540C212yesmaximal, complemented
5#21444538C212yesmaximal, complemented
6#21444534C212yesmaximal, complemented
7#21444531C212yesmaximal, complemented
8#21444469C211yesmaximal, characteristic, complemented
9#21444468C211yesmaximal, characteristic, complemented
10#21444466C211yesmaximal, characteristic, complemented
11C61×#1540C211yesmaximal, characteristic, complemented
12C2×#41×D61—21no—
13#16840313C2211yescharacteristic
14#16840312C2211yescharacteristic
15#16840311—21no—
16#16840310C2211yescharacteristic
17#16840309—21no—
18#16840309C412yes—
19#16840308—21no—
20#16840307—21no—
21#16840307C412yes—
22C4⋊Q8×D61C2211yescharacteristic
23#127×D61C2211yescharacteristic
24#124×D61—21no—
25#121×D61—21no—
26#121×D61C412yes—
27C4×D4×D61—21no—
28C4×D4×D61C412yes—
29C2×C42×D61C2211yescharacteristic
30#16839818—21no—
31#16839818—21no—
32#16839818C2212yes—
33#16839818C2212yes—
34#16839818C2212yescomplemented
35#16839816—21no—
36#16839815C2211yescharacteristic, complemented
37#16839813—21no—
38#16839784C2212yescomplemented
39C2×C4⋊#92418C2211yescharacteristic, complemented
40#16839724—21no—
41C2×#14519689—21no—
42C4×#11758189—21no—
43C2×#14519687—21no—
44#16839509C2212yescomplemented
45#16839508C2212yescomplemented
46#16839507C2212yescomplemented
47#16839506C2212yescomplemented
48#16839505C2212yescomplemented
49#16839505C2212yescomplemented
50C61×#532C2211yescharacteristic
51C61×#431C2211yescharacteristic, complemented
52C2×C4⋊C8×C61C2211yescharacteristic, complemented
53C61×#332C2212yescomplemented
54C61×#331C2212yescomplemented
55C2×#11758226—21no—
56C2×#11758222—21no—
57C2×#11758222—22no—
58C2×#11758224—22no—
59C2×#11758224—21no—
60#41×D61—44no—
61#41×D61—44no—
62C2×Q8×D61—21no—
63C2×D4×D61—22no—
64C2×D4×D61—21no—
65C2×D4×D61—21no—
66C2×D4×D61C2×C412yes—
67C22×C4×D61—22no—
68C22×C4×D61C2×C411yescharacteristic
69C22×C4×D61D411yescharacteristic
70C22×C4×D61D411yescharacteristic
71C2×#11758189—22no—
72C22×#92418—21no—
73#14519777C2311yescharacteristic
74#14519776—21no—
75#14519776C2×C412yes—
76#14519775—21no—
77#14519774C2311yescharacteristic
78#14519773—21no—
79#14519773—21no—
80#14519773C2×C412yes—
81#14519766—21no—
82#14519765—21no—
83#14519764—21no—
84#14519763—22no—
85#14519763—22no—
86#14519752—21no—
87#14519752C2×C412yes—
88#14519751—21no—
89#14519751C2×C412yes—
90#14519750—22no—
91#14519750—22no—
92#14519749—22no—
93#14519749—22no—
94#14519748—21no—
95#14519748C2×C412yes—
96C4×D244—21no—
97C4×D244C2×C412yes—
98D4×Dic61—21no—
99D4×Dic61C2×C412yes—
100#14519739—21no—
101#14519739C2×C412yes—
102C4×C22⋊D61—22no—
103C4×C22⋊D61—22no—
104#14519737—22no—
105#14519737—22no—
106C4⋊C4×D61—21no—
107C4⋊C4×D61C2×C412yes—
108C22⋊C4×D61—22no—
109C22⋊C4×D61—22no—
110C2×C4×Dic61C2×C411yescharacteristic
111C2×C4×Dic61D411yescharacteristic
112C2×C4×Dic61D411yescharacteristic
113C42×D61C2×C411yescharacteristic
114C42×D61C2×C411yescharacteristic
115C42×D61D411yescharacteristic
116C42×D61D411yescharacteristic
117C42×D61D411yescharacteristic
118C42×D61D411yescharacteristic
119C42×D61C2311yescharacteristic
120C42×D61C2311yescharacteristic
121C4⋊#92418—21no—
122C4⋊#92418C2312yes—
123C4⋊#92418C2312yes—
124#14519706—22no—
125C22⋊#92418—21no—
126#14519689—22no—
127#14519689—22no—
128#14519689—22no—
129#14519687—22no—
130#14519687—22no—
131#14519687—22no—
132C4×#92418—21no—
133C2×#41×C61—21no—
134C22×C8×C61—21no—
135C4⋊Q8×C61C2311yescharacteristic
136#127×C61C2311yescharacteristic
137#124×C61—21no—
138#121×C61—21no—
139#121×C61C2×C412yes—
140C4×D4×C61—21no—
141C4×D4×C61C2×C412yes—
142C2×C42×C61C2311yescharacteristic
143C4⋊C8×C61—21no—
144C4⋊C8×C61C2312yes—
145C4⋊C8×C61C2312yes—
146C22⋊C8×C61—21no—
147C4×C8×C61—21no—
148C23×D61—22no—
149C23×D61C22⋊C411yescharacteristic
150#41×C61—42no—
151#41×C61—42no—
152C2×Q8×C61—21no—
153C2×D4×C61—22no—
154C2×D4×C61—21no—
155C2×D4×C61—21no—
156C2×D4×C61C22×C412yes—
157C22×C4×C61—22no—
158C22×C4×C61C22×C411yescharacteristic
159C22×C4×C61C2×D411yescharacteristic
160C22×C4×C61C2×D411yescharacteristic
161C2×C22⋊D61—22no—
162C2×C22⋊D61—22no—
163C2×C22⋊D61—22no—
164C2×C22⋊D61—22no—
165C2×C22⋊D61—22no—
166C22×Dic61—22no—
167C22×Dic61C22⋊C411yescharacteristic
168C22×Dic61C22⋊C411yescharacteristic
169C22×Dic61C22⋊C411yescharacteristic
170#11758226—42no—
171#11758226—42no—
172Q8×D61—42no—
173Q8×D61—42no—
174#11758224—42no—
175#11758224—42no—
176#11758224—48no—
177D4×D61—44no—
178D4×D61—42no—
179D4×D61—42no—
180D4×D61—44no—
181D4×D61—48no—
182#11758222—48no—
183#11758222—42no—
184#11758222—42no—
185C2×D244—22no—
186C2×D244—21no—
187C2×D244—21no—
188C2×D244C22×C412yes—
189C2×C4×D61—22no—
190C2×C4×D61—22no—
191C2×C4×D61—22no—
192C2×C4×D61—22no—
193C2×C4×D61—22no—
194C2×C4×D61—42no—
195C2×C4×D61—42no—
196C2×C4×D61—48no—
197C2×C4×D61C22⋊C411yescharacteristic
198C2×C4×D61C22⋊C411yescharacteristic
199C2×C4×D61C22⋊C411yescharacteristic
200C2×C4×D61C22⋊C411yescharacteristic
201C2×C4×D61C22⋊C411yescharacteristic
202C2×C4×D61C22⋊C411yescharacteristic
203C2×C4×D61C22×C411yescharacteristic
204C2×C4×D61C22×C411yescharacteristic
205C2×C4×D61C2×D411yescharacteristic
206C2×C4×D61C2×D411yescharacteristic
207C2×C4×D61C2×D411yescharacteristic
208C2×C4×D61C2×D411yescharacteristic
209C2×Dic122—21no—
210C2×Dic122—22no—
211C2×C8×C61—22no—
212C2×C8×C61—22no—
213C2×C8×C61—42no—
214C4⋊C4×C61—21no—
215C4⋊C4×C61C22×C412yes—
216C22⋊C4×C61—22no—
217C22⋊C4×C61—22no—
218C42×C61C22×C411yescharacteristic
219C42×C61C2×D411yescharacteristic
220C42×C61C2×D411yescharacteristic
221C42×C61C2411yescharacteristic
222C22⋊Dic61—22no—
223C22⋊Dic61—22no—
224#11758198—22no—
225#11758198—22no—
226#11758198—22no—
227#11758198—22no—
228C4⋊Dic61—21no—
229C4⋊Dic61C22×C412yes—
230#11758196—22no—
231#11758196—22no—
232C4×Dic61C22⋊C411yescharacteristic
233C4×Dic61C22⋊C411yescharacteristic
234C4×Dic61C22⋊C411yescharacteristic
235C4×Dic61C22⋊C411yescharacteristic
236C4×Dic61C22⋊C411yescharacteristic
237C4×Dic61C22⋊C411yescharacteristic
238C4×Dic61C22×C411yescharacteristic
239C4×Dic61C22×C411yescharacteristic
240C4×Dic61C2×D411yescharacteristic
241C4×Dic61C2×D411yescharacteristic
242C4×Dic61C2×D411yescharacteristic
243C4×Dic61C2×D411yescharacteristic
244C2×#92418—22no—
245C2×#92418—22no—
246C2×#92418—42no—
247#11758189—44no—
248C23×C61—22no—
249C23×C61C2×C22⋊C411yescharacteristic
250C22×D61—22no—
251C22×D61—22no—
252C22×D61—22no—
253C22×D61—41no—
254C22×D61—44no—
255C22×D61—44no—
256C22×D61—44no—
257C22×D61C2×C22⋊C411yescharacteristic
258C22×D61C2×C22⋊C411yescharacteristic
259Q8×C61—41no—
260Q8×C61—41no—
261D4×C61—42no—
262D4×C61—44no—
263D4×C61—41no—
264D4×C61—41no—
265D4×C61—42no—
266C2×C4×C61—22no—
267C2×C4×C61—22no—
268C2×C4×C61—41no—
269C2×C4×C61—44no—
270C2×C4×C61C2×C22⋊C411yescharacteristic
271C2×C4×C61C2×C22⋊C411yescharacteristic
272C2×C4×C61C2×C22⋊C411yescharacteristic
273C2×C4×C61AGL(1,ℤ/8)12yes—
274C2×C4×C61AGL(1,ℤ/8)12yes—
275C2×C4×C61C23×C411yescharacteristic
276C2×C4×C61C22×D411yescharacteristic
277C2×C4×C61C22×D411yescharacteristic
278C22⋊D61—44no—
279C22⋊D61—44no—
280C22⋊D61—44no—
281C22⋊D61—44no—
282C22⋊D61—44no—
283C2×Dic61—22no—
284C2×Dic61—22no—
285C2×Dic61—41no—
286C2×Dic61—41no—
287C2×Dic61—44no—
288C2×Dic61C2×C22⋊C411yescharacteristic
289C2×Dic61C2×C22⋊C411yescharacteristic
290C2×Dic61C2×C22⋊C411yescharacteristic
291C2×Dic61C2×C22⋊C411yescharacteristic
292C2×Dic61C2×C22⋊C411yescharacteristic
293C2×Dic61C2×C22⋊C411yescharacteristic
294D244—42no—
295D244—44no—
296D244—41no—
297D244—41no—
298D244—42no—
299C4×D61—22no—
300C4×D61—22no—
301C4×D61—21no—
302C4×D61—21no—
303C4×D61—21no—
304C4×D61—21no—
305C4×D61—22no—
306C4×D61—22no—
307C4×D61—22no—
308C4×D61—22no—
309C4×D61—41no—
310C4×D61—41no—
311C4×D61—41no—
312C4×D61—41no—
313C4×D61—44no—
314C4×D61—44no—
315C4×D61—44no—
316Dic122—44no—
317Dic122—41no—
318Dic122—41no—
319C8×C61—42no—
320C8×C61—42no—
321#92418—42no—
322#92418—42no—
323#17731—611nomaximal, Sylow
324C22×C61—21no—
325C22×C61—21no—
326C22×C61—42no—
327C22×C61—42no—
328C22×C61—42no—
329C22×C61#41812yes—
330C22×C61C22×C22⋊C411yescharacteristic
331C2×D61—21no—
332C2×D61—21no—
333C2×D61—21no—
334C2×D61—21no—
335C2×D61—21no—
336C2×D61—44no—
337C2×D61—42no—
338C2×D61—42no—
339C2×D61—42no—
340C2×D61—88no—
341C2×D61#41312yes—
342C4×C61—21no—
343C4×C61—21no—
344C4×C61—21no—
345C4×C61—42no—
346C4×C61#41812yes—
347C4×C61C2×AGL(1,ℤ/8)11yescharacteristic
348C4×C61C2×AGL(1,ℤ/8)11yescharacteristic
349C4×C61#57512yes—
350Dic61—21no—
351Dic61—21no—
352Dic61—21no—
353Dic61—21no—
354Dic61—21no—
355Dic61—21no—
356Dic61—42no—
357C2×#532—611no—
358#2920—611no—
359C2×#432—611no—
360#1557—612no—
361#1557—612no—
362#1556—612no—
363#1555—612no—
364#1540—611no—
365#1540—611no—
366#1540—611no—
367#1540D6111yescharacteristic, complemented
368C2×C61—22no—
369C2×C61—82no—
370C2×C61C2×#41311yescharacteristic
371C2×C61C2×#41811yescharacteristic
372C2×C61#289611yescharacteristic
373D61—22no—
374D61—41no—
375D61—82no—
376C22×#41—1221no—
377#532—611no—
378#532—611no—
379#532—612no—
380#532—612no—
381#532—611no—
382#532—1221no—
383#532—1221no—
384#532—1221no—
385#532—1221no—
386#532C2×D6111yescharacteristic
387C2×C4⋊Q8—611no—
388C2×#127—611no—
389C2×#124—1221no—
390C2×#121—612no—
391C2×#121—1221no—
392C2×C4×D4—612no—
393C2×C4×D4—1221no—
394C22×C42—611no—
395#432—612no—
396#432—612no—
397#432—612no—
398#432—1221no—
399#432—1221no—
400#432—1221no—
401#431—611no—
402#431—1221no—
403#431C2×D6111yescharacteristic, complemented
404#423—612no—
405C2×C4⋊C8—611no—
406C2×C4⋊C8C2×D6111yescharacteristic, complemented
407#407—1221no—
408C2×C22⋊C8—1221no—
409C4×M16—1221no—
410C2×#97—1221no—
411#332—612no—
412#332—612no—
413#332—612no—
414#332C2×D6112yescomplemented
415#331—612no—
416#331—612no—
417#331—612no—
418#331C2×D6112yescomplemented
419C61#1773111yescharacteristic, complemented, Sylow
420C2×#41—21no—
421C2×#41—1222no—
422C2×#41—1222no—
423C2×#41—1221no—
424C2×#41—1221no—
425C2×#41—1221no—
426C2×#41—2444no—
427C2×#41—2444no—
428C22×Q8—1221no—
429C22×D4—612no—
430C22×D4—1221no—
431C22×D4—1221no—
432C22×D4—1222no—
433C23×C4—611no—
434C23×C4—611no—
435C23×C4—611no—
436C23×C4—1222no—
437C2×M16—1222no—
438C22×C8—21no—
439C22×C8—1221no—
440C4⋊Q8—612no—
441C4⋊Q8—611no—
442C4⋊Q8—1221no—
443C4⋊Q8—1221no—
444C4⋊Q8C22×D6111yescharacteristic
445#127—612no—
446#127—611no—
447#127—1221no—
448#127—1221no—
449#127C22×D6111yescharacteristic
450#124—21no—
451#124—1222no—
452#124—1222no—
453#124—1221no—
454#124—1221no—
455#124—1221no—
456#121—21no—
457#121—612no—
458#121—612no—
459#121—612no—
460#121—1222no—
461#121—1222no—
462#121—1221no—
463#121—1222no—
464#121—1221no—
465#121—1222no—
466#121—1221no—
467#121C4×D6112yes—
468C4×D4—21no—
469C4×D4—612no—
470C4×D4—612no—
471C4×D4—612no—
472C4×D4—1222no—
473C4×D4—1222no—
474C4×D4—1221no—
475C4×D4—1222no—
476C4×D4—1222no—
477C4×D4—1221no—
478C4×D4—1221no—
479C4×D4C4×D6112yes—
480C2×C4⋊C4—612no—
481C2×C4⋊C4—1221no—
482C2×C22⋊C4—1222no—
483C2×C22⋊C4—1222no—
484C2×C42—611no—
485C2×C42—611no—
486C2×C42—611no—
487C2×C42—611no—
488C2×C42—611no—
489C2×C42—611no—
490C2×C42—611no—
491C2×C42—611no—
492C2×C42—611no—
493C2×C42—611no—
494C2×C42—611no—
495C2×C42C22×D6111yescharacteristic
496C4⋊C8—21no—
497C4⋊C8—612no—
498C4⋊C8—612no—
499C4⋊C8—1222no—
500C4⋊C8—1221no—
501C4⋊C8C22×D6112yes—
502C4⋊C8C22×D6112yes—
503C22⋊C8—21no—
504C22⋊C8—1222no—
505C22⋊C8—1222no—
506C22⋊C8—1222no—
507C22⋊C8—1221no—
508#97—1222no—
509#97—1222no—
510#97—1222no—
511C4×C8—21no—
512C4×C8—1221no—
513C24—611no—
514C24—1222no—
515#41—42no—
516#41—42no—
517#41—2448no—
518#41—2448no—
519#41—2442no—
520#41—2442no—
521#41—2442no—
522#41—2442no—
523#41—2442no—
524#41—2442no—
525C2×Q8—21no—
526C2×Q8—1222no—
527C2×Q8—1221no—
528C2×Q8—2442no—
529C2×Q8—2442no—
530C2×D4—22no—
531C2×D4—21no—
532C2×D4—21no—
533C2×D4—612no—
534C2×D4—1222no—
535C2×D4—1222no—
536C2×D4—1222no—
537C2×D4—1222no—
538C2×D4—1222no—
539C2×D4—1222no—
540C2×D4—1221no—
541C2×D4—1221no—
542C2×D4—2444no—
543C2×D4—2442no—
544C2×D4—2442no—
545C2×D4—2444no—
546C2×D4—2448no—
547C2×D4C2×C4×D6112yes—
548C22×C4—22no—
549C22×C4—611no—
550C22×C4—611no—
551C22×C4—611no—
552C22×C4—611no—
553C22×C4—611no—
554C22×C4—611no—
555C22×C4—611no—
556C22×C4—611no—
557C22×C4—611no—
558C22×C4—611no—
559C22×C4—611no—
560C22×C4—611no—
561C22×C4—611no—
562C22×C4—611no—
563C22×C4—611no—
564C22×C4—1222no—
565C22×C4—1222no—
566C22×C4—1222no—
567C22×C4—1222no—
568C22×C4—1222no—
569C22×C4—1222no—
570C22×C4—2442no—
571C22×C4—2442no—
572C22×C4—2448no—
573C22×C4C2×C4×D6111yescharacteristic
574C22×C4D4×D6111yescharacteristic
575C22×C4D4×D6111yescharacteristic
576M16—2444no—
577C2×C8—22no—
578C2×C8—22no—
579C2×C8—42no—
580C2×C8—1222no—
581C2×C8—1222no—
582C2×C8—2442no—
583C4⋊C4—21no—
584C4⋊C4—612no—
585C4⋊C4—1222no—
586C4⋊C4—1222no—
587C4⋊C4—1221no—
588C4⋊C4C2×C4×D6112yes—
589C22⋊C4—22no—
590C22⋊C4—22no—
591C22⋊C4—1222no—
592C22⋊C4—1222no—
593C22⋊C4—1222no—
594C22⋊C4—1222no—
595C22⋊C4—1222no—
596C22⋊C4—1222no—
597C42—611no—
598C42—611no—
599C42—611no—
600C42—611no—
601C42—611no—
602C42—611no—
603C42—611no—
604C42—611no—
605C42—611no—
606C42—611no—
607C42—611no—
608C42—611no—
609C42C2×C4×D6111yescharacteristic
610C42D4×D6111yescharacteristic
611C42D4×D6111yescharacteristic
612C42C23×D6111yescharacteristic
613C23—22no—
614C23—611no—
615C23—611no—
616C23—1222no—
617C23—1222no—
618C23—1222no—
619C23—2441no—
620C23—2444no—
621C23—2444no—
622C23—2444no—
623C23C22⋊C4×D6111yescharacteristic
624Q8—41no—
625Q8—41no—
626Q8—2444no—
627Q8—2441no—
628Q8—2441no—
629D4—42no—
630D4—44no—
631D4—41no—
632D4—41no—
633D4—42no—
634D4—2442no—
635D4—2444no—
636D4—2444no—
637D4—2444no—
638D4—2444no—
639D4—2444no—
640D4—2444no—
641D4—2441no—
642D4—2441no—
643D4—2442no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—41no—
647C2×C4—44no—
648C2×C4—611no—
649C2×C4—611no—
650C2×C4—611no—
651C2×C4—611no—
652C2×C4—611no—
653C2×C4—611no—
654C2×C4—1222no—
655C2×C4—1222no—
656C2×C4—1222no—
657C2×C4—1222no—
658C2×C4—1222no—
659C2×C4—1221no—
660C2×C4—1221no—
661C2×C4—1221no—
662C2×C4—1221no—
663C2×C4—1222no—
664C2×C4—1222no—
665C2×C4—1222no—
666C2×C4—2441no—
667C2×C4—2441no—
668C2×C4—2441no—
669C2×C4—2441no—
670C2×C4—2444no—
671C2×C4—2444no—
672C2×C4—2441no—
673C2×C4—2441no—
674C2×C4—2444no—
675C2×C4—2444no—
676C2×C4C22⋊C4×D6111yescharacteristic
677C2×C4C22⋊C4×D6111yescharacteristic
678C2×C4C22⋊C4×D6111yescharacteristic
679C2×C4#1451980112yes—
680C2×C4#1451980412yes—
681C2×C4C22×C4×D6111yescharacteristic
682C2×C4C2×D4×D6111yescharacteristic
683C2×C4C2×D4×D6111yescharacteristic
684C8—42no—
685C8—42no—
686C8—2442no—
687C8—2442no—
688C22—21no—
689C22—21no—
690C22—42no—
691C22—42no—
692C22—42no—
693C22—612no—
694C22—1221no—
695C22—1221no—
696C22—1221no—
697C22—1221no—
698C22—1221no—
699C22—4888no—
700C22—2444no—
701C22—2442no—
702C22—2442no—
703C22—2442no—
704C22#1683976512yes—
705C22C2×C22⋊C4×D6111yescharacteristic
706C4—21no—
707C4—21no—
708C4—21no—
709C4—42no—
710C4—1221no—
711C4—1221no—
712C4—1221no—
713C4—1221no—
714C4—1221no—
715C4—1221no—
716C4—2442no—
717C4#1683976512yes—
718C4C2×#1451980111yescharacteristic
719C4C2×#1451980411yescharacteristic
720C4#1684055912yes—
721C2—22no—
722C2—82no—
723C2—1222no—
724C2—4882no—
725C2—2441no—
726C2#413×D6111yescharacteristic
727C2C2×#1683976511yescharacteristic
728C2#2145433411yescharacteristic
subgroupG/H
centerC2×C4C22⋊C4×D61
commutatorC2×C4×C61C23×C4
FrattiniC42C23×D61
FittingC61×#1540C2
socleC22×C61C22×C22⋊C4
prime radical#532×D61C2
cosocleC42×C61C24
hypercenter#1540D61
hypocenterC61#17731
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1540

Complements

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

NH ≅ G/Ntype
2. #21454447C2semidirect
3. C2×#16839818C2semidirect
4. #21444540C2semidirect
5. #21444538C2semidirect
6. #21444534C2semidirect
7. #21444531C2semidirect
8. #21444469C2semidirect
9. #21444468C2semidirect
10. #21444466C2semidirect
11. C61×#1540C2semidirect
34. #16839818C22semidirect
36. #16839815C22semidirect
38. #16839784C22semidirect
39. C2×C4⋊#92418C22semidirect
44. #16839509C22semidirect
45. #16839508C22semidirect
46. #16839507C22semidirect
47. #16839506C22semidirect
48. #16839505C22semidirect
49. #16839505C22semidirect
51. C61×#431C22semidirect
52. C2×C4⋊C8×C61C22semidirect
53. C61×#332C22semidirect
54. C61×#331C22semidirect
367. #1540D61semidirect
403. #431C2×D61semidirect
406. C2×C4⋊C8C2×D61semidirect
414. #332C2×D61semidirect
418. #331C2×D61semidirect
419. C61#17731semidirect

Maximal subgroups

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

subgroupindex
#532×D612
#214544472
C2×#168398182
#214445402
#214445382
#214445342
#214445312
#214444692
#214444682
#214444662
C61×#15402
#1773161