Finite Group Databasebeta

← #29647382

Subgroups — #29647382

Order 15616.

1338 conjugacy classes of subgroups.

The subgroup lattice has 736 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#532×D61C211yesmaximal, characteristic
2#431×D61C211yesmaximal, characteristic, complemented
3#21448225C211yesmaximal, characteristic, complemented
4#21444385C214yesmaximal, complemented
5#21444380C211yesmaximal, characteristic, complemented
6#21444379C211yesmaximal, characteristic, complemented
7#21444378C211yesmaximal, characteristic, complemented
8#21444312C214yesmaximal, complemented
9C61×#1517C211yesmaximal, characteristic, complemented
10C2×#41×D61—21no—
11#16840313C411yescharacteristic, complemented
12#16840312C2211yescharacteristic
13#16840311—21no—
14#16840310C411yescharacteristic, complemented
15#16840309—21no—
16#16840309C412yescomplemented
17#16840308—21no—
18#16840307—21no—
19#16840307C2212yes—
20C4⋊Q8×D61C411yescharacteristic, complemented
21#127×D61C411yescharacteristic, complemented
22#124×D61—21no—
23#121×D61—21no—
24#121×D61C2212yes—
25C4×D4×D61—21no—
26C4×D4×D61C412yescomplemented
27C2×#14519735—21no—
28C2×C42×D61C2211yescharacteristic
29#16839815C2211yescharacteristic, complemented
30#16839814—21no—
31#16839813—21no—
32#16839812C2212yescomplemented
33C4⋊C8×D61—21no—
34C22⋊C8×D61C2212yes—
35C4×C8×D61—21no—
36#16839631—21no—
37#16839628C2211yescharacteristic, complemented
38#16839621—21no—
39#16839621C2212yes—
40#16839613—21no—
41#16839613C2212yescomplemented
42#16839497C2214yescomplemented
43#16839496C2214yescomplemented
44#16839495C2214yescomplemented
45C61×#532C2211yescharacteristic
46C61×#431C2211yescharacteristic, complemented
47C61×#382C2211yescharacteristic, complemented
48C61×#327C2214yescomplemented
49C2×#11758226—21no—
50C2×#11758222—21no—
51C2×#11758222—22no—
52C2×#11758224—22no—
53C2×#11758224—21no—
54#41×D61—44no—
55#41×D61—44no—
56C2×Q8×D61—21no—
57C2×D4×D61—22no—
58C2×D4×D61—21no—
59C2×D4×D61—21no—
60C2×D4×D61C2×C412yes—
61C22×C4×D61—22no—
62C22×C4×D61D411yescharacteristic
63C22×C4×D61D411yescharacteristic
64C22×C4×D61C2311yescharacteristic
65C2×C8×D61—22no—
66#14519777C2×C411yescharacteristic
67#14519776—21no—
68#14519776C2×C412yes—
69#14519775—21no—
70#14519774C2×C411yescharacteristic
71#14519773—21no—
72#14519773—21no—
73#14519773C2×C412yes—
74#14519766—21no—
75#14519765—21no—
76#14519764—21no—
77#14519763—22no—
78#14519763—22no—
79#14519752—21no—
80#14519752C2×C412yes—
81#14519751—21no—
82#14519751C2312yes—
83#14519750—22no—
84#14519750—22no—
85#14519749—22no—
86#14519749—22no—
87#14519748—21no—
88#14519748C2×C412yes—
89C4×D244—21no—
90C4×D244C2×C412yes—
91D4×Dic61—21no—
92D4×Dic61C2×C412yes—
93#14519739—21no—
94#14519739C2×C412yes—
95C4×C22⋊D61—22no—
96C4×C22⋊D61—22no—
97#14519737—22no—
98#14519737—22no—
99#14519735—44no—
100C2×C4⋊Dic61—21no—
101C2×#11758196—22no—
102C2×#11758196—22no—
103C4⋊C4×D61—21no—
104C4⋊C4×D61C2×C412yes—
105C2×#11758198—22no—
106C22⋊C4×D61—22no—
107C22⋊C4×D61—22no—
108C2×C4×Dic61—22no—
109C2×C4×Dic61D411yescharacteristic
110C2×C4×Dic61D411yescharacteristic
111C2×C4×Dic61C2311yescharacteristic
112C42×D61C2×C411yescharacteristic
113C42×D61C2×C411yescharacteristic
114C42×D61C2×C411yescharacteristic
115C42×D61C2×C411yescharacteristic
116C42×D61D411yescharacteristic
117C42×D61D411yescharacteristic
118C42×D61D411yescharacteristic
119C42×D61D411yescharacteristic
120C4⋊#92418—21no—
121#14519706—22no—
122C22⋊#92418C2312yes—
123#14519689—22no—
124C4×#92418—21no—
125C8×Dic61—22no—
126#14519684—21no—
127#14519684C2312yes—
128C2×#41×C61—21no—
129C4⋊Q8×C61C2×C411yescharacteristic
130#127×C61C2×C411yescharacteristic
131#124×C61—21no—
132#121×C61—21no—
133#121×C61C2312yes—
134C4×D4×C61—21no—
135C4×D4×C61C2×C412yes—
136C2×C4⋊C4×C61—21no—
137C2×C42×C61C2311yescharacteristic
138C4⋊C8×C61—21no—
139C22⋊C8×C61C2312yes—
140C4×C8×C61—21no—
141#95×C61—21no—
142#95×C61C2312yes—
143C23×D61—22no—
144C23×D61C2×D411yescharacteristic
145#41×C61—42no—
146#41×C61—42no—
147C2×Q8×C61—21no—
148C2×D4×C61—22no—
149C2×D4×C61—21no—
150C2×D4×C61—21no—
151C2×D4×C61C22×C412yes—
152C22×C4×C61—22no—
153C22×C4×C61—22no—
154C22×C4×C61C2×D411yescharacteristic
155C22×C4×C61C2×D411yescharacteristic
156C22×C4×C61C2411yescharacteristic
157C2×C22⋊D61—22no—
158C2×C22⋊D61—22no—
159C2×C22⋊D61—22no—
160C2×C22⋊D61—22no—
161C2×C22⋊D61—22no—
162C22×Dic61—22no—
163C22×Dic61—22no—
164C22×Dic61C2×D411yescharacteristic
165C22×Dic61C2×D411yescharacteristic
166C22×Dic61C2×D411yescharacteristic
167#11758226—44no—
168Q8×D61—44no—
169#11758224—44no—
170#11758224—44no—
171#11758224—44no—
172D4×D61—44no—
173D4×D61—44no—
174D4×D61—44no—
175D4×D61—44no—
176D4×D61—44no—
177#11758222—42no—
178#11758222—42no—
179#11758222—48no—
180C2×D244—22no—
181C2×D244—21no—
182C2×D244—21no—
183C2×D244C22×C412yes—
184C2×C4×D61—22no—
185C2×C4×D61—22no—
186C2×C4×D61—22no—
187C2×C4×D61—42no—
188C2×C4×D61—42no—
189C2×C4×D61—48no—
190C2×C4×D61C22⋊C411yescharacteristic
191C2×C4×D61C22⋊C411yescharacteristic
192C2×C4×D61C22⋊C411yescharacteristic
193C2×C4×D61C22⋊C411yescharacteristic
194C2×C4×D61C22⋊C411yescharacteristic
195C2×C4×D61C22⋊C411yescharacteristic
196C2×C4×D61C22⋊C411yescharacteristic
197C2×C4×D61C22⋊C411yescharacteristic
198C2×C4×D61D814yes—
199C2×C4×D61SD1614yes—
200C2×C4×D61C22×C411yescharacteristic
201C2×C4×D61C22×C411yescharacteristic
202C2×C4×D61C2×D411yescharacteristic
203C2×C4×D61C2×D411yescharacteristic
204C2×Dic122—21no—
205C2×Dic122—22no—
206C2×C8×C61—22no—
207C4⋊C4×C61—21no—
208C4⋊C4×C61—42no—
209C4⋊C4×C61C22×C412yes—
210C22⋊C4×C61—22no—
211C22⋊C4×C61—22no—
212C42×C61C22×C411yescharacteristic
213C42×C61C22×C411yescharacteristic
214C42×C61C2×D411yescharacteristic
215C42×C61C2×D411yescharacteristic
216C22⋊Dic61—22no—
217C22⋊Dic61—22no—
218#11758198—22no—
219#11758198—22no—
220#11758198—22no—
221#11758198—22no—
222#11758198—44no—
223C4⋊Dic61—21no—
224C4⋊Dic61—42no—
225C4⋊Dic61C22×C412yes—
226#11758196—22no—
227#11758196—22no—
228#11758196—44no—
229#11758196—44no—
230C4×Dic61—44no—
231C4×Dic61C22⋊C411yescharacteristic
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×Dic61C22×C411yescharacteristic
241C4×Dic61C2×D411yescharacteristic
242C4×Dic61C2×D411yescharacteristic
243C2×#92418—22no—
244C8×D61—44no—
245C23×C61—22no—
246C23×C61C22×D411yescharacteristic
247C22×D61—22no—
248C22×D61—41no—
249C22×D61—41no—
250C22×D61—44no—
251C22×D61—44no—
252C22×D61—44no—
253C22×D61C2×C22⋊C411yescharacteristic
254C22×D61C2×C22⋊C411yescharacteristic
255C22×D61C2×D812yes—
256C22×D61C2×SD1612yes—
257Q8×C61—42no—
258D4×C61—42no—
259D4×C61—42no—
260D4×C61—42no—
261D4×C61—42no—
262D4×C61—42no—
263C2×C4×C61—22no—
264C2×C4×C61—41no—
265C2×C4×C61—41no—
266C2×C4×C61—44no—
267C2×C4×C61—42no—
268C2×C4×C61—42no—
269C2×C4×C61—42no—
270C2×C4×C61C2×C22⋊C411yescharacteristic
271C2×C4×C61C2×C22⋊C411yescharacteristic
272C2×C4×C61C2×C22⋊C411yescharacteristic
273C2×C4×C61C2×C22⋊C411yescharacteristic
274C2×C4×C61C2×D812yes—
275C2×C4×C61C2×SD1612yes—
276C2×C4×C61C23×C411yescharacteristic
277C2×C4×C61C22×D411yescharacteristic
278C22⋊D61—42no—
279C22⋊D61—42no—
280C22⋊D61—44no—
281C22⋊D61—44no—
282C22⋊D61—44no—
283C22⋊D61—44no—
284C2×Dic61—22no—
285C2×Dic61—22no—
286C2×Dic61—22no—
287C2×Dic61—44no—
288C2×Dic61—42no—
289C2×Dic61—42no—
290C2×Dic61—42no—
291C2×Dic61C2×C22⋊C411yescharacteristic
292C2×Dic61C2×C22⋊C411yescharacteristic
293C2×Dic61C2×C22⋊C411yescharacteristic
294C2×Dic61C2×C22⋊C411yescharacteristic
295C2×Dic61C2×C22⋊C411yescharacteristic
296C2×Dic61C2×C22⋊C411yescharacteristic
297C2×Dic61C2×D812yes—
298C2×Dic61C2×SD1612yes—
299D244—42no—
300D244—42no—
301D244—44no—
302D244—42no—
303C4×D61—22no—
304C4×D61—22no—
305C4×D61—22no—
306C4×D61—22no—
307C4×D61—41no—
308C4×D61—41no—
309C4×D61—41no—
310C4×D61—41no—
311C4×D61—44no—
312C4×D61—44no—
313C4×D61—44no—
314C4×D61#10214yes—
315C4×D61#10214yes—
316C4×D61#10214yes—
317C4×D61#10214yes—
318Dic122—42no—
319Dic122—44no—
320C8×C61—42no—
321#92418—42no—
322#17574—611nomaximal, Sylow
323C22×C61—21no—
324C22×C61—21no—
325C22×C61—42no—
326C22×C61—42no—
327C22×C61—42no—
328C22×C61C22×C22⋊C411yescharacteristic
329C22×C61C22×D811yescharacteristic
330C22×C61C22×SD1611yescharacteristic
331C2×D61—21no—
332C2×D61—21no—
333C2×D61—21no—
334C2×D61—21no—
335C2×D61—42no—
336C2×D61—42no—
337C2×D61—42no—
338C2×D61—42no—
339C2×D61—42no—
340C2×D61—88no—
341C2×D61C2×#10212yes—
342C2×D61C2×#10212yes—
343C4×C61—21no—
344C4×C61—21no—
345C4×C61—21no—
346C4×C61—21no—
347C4×C61—42no—
348C4×C61—82no—
349C4×C61C2×#10212yes—
350C4×C61C2×#10212yes—
351Dic61—21no—
352Dic61—21no—
353Dic61—42no—
354Dic61—82no—
355Dic61#41012yes—
356Dic61C2×#10212yes—
357Dic61C2×#10212yes—
358Dic61#42112yes—
359C2×#532—611no—
360C2×#431—611no—
361#2285—611no—
362#1519—614no—
363#1517—611no—
364#1517—611no—
365#1517—611no—
366#1517D6111yescharacteristic, complemented
367#1502—614no—
368C2×C61—21no—
369C2×C61—21no—
370C2×C61—82no—
371C2×C61C2×#41011yescharacteristic
372C2×C61C22×#10211yescharacteristic
373C2×C61C2×#42111yescharacteristic
374D61—22no—
375D61—22no—
376D61—82no—
377C22×#41—1221no—
378#532—611no—
379#532—611no—
380#532—612no—
381#532—612no—
382#532—611no—
383#532—1221no—
384#532—1221no—
385#532—1221no—
386#532—1221no—
387#532C2×D6111yescharacteristic
388C2×C4⋊Q8—611no—
389C2×#127—611no—
390C2×#124—1221no—
391C2×#121—612no—
392C2×#121—1221no—
393C2×C4×D4—612no—
394C2×C4×D4—1221no—
395C2×#117—1221no—
396C22×C42—611no—
397#431—611no—
398#431—612no—
399#431—1221no—
400#431—1221no—
401#431C2×D6111yescharacteristic, complemented
402C2×C4⋊C8—1221no—
403C2×C22⋊C8—612no—
404C2×C4×C8—1221no—
405#384—1221no—
406#382—611no—
407#382C2×D6111yescharacteristic, complemented
408#380—612no—
409#380—1221no—
410C4×C4⋊C4—612no—
411C4×C4⋊C4—1221no—
412#327—614no—
413#327—614no—
414#327—614no—
415#327C2×D6114yescomplemented
416C61#1757411yescharacteristic, complemented, Sylow
417C2×#41—21no—
418C2×#41—1222no—
419C2×#41—1222no—
420C2×#41—1221no—
421C2×#41—1221no—
422C2×#41—1221no—
423C2×#41—2444no—
424C2×#41—2444no—
425C22×Q8—1221no—
426C22×D4—612no—
427C22×D4—1221no—
428C22×D4—1221no—
429C22×D4—1222no—
430C23×C4—611no—
431C23×C4—611no—
432C23×C4—611no—
433C23×C4—1222no—
434C22×C8—1222no—
435C4⋊Q8—612no—
436C4⋊Q8—611no—
437C4⋊Q8—1221no—
438C4⋊Q8—1221no—
439C4⋊Q8C4×D6111yescharacteristic
440#127—612no—
441#127—611no—
442#127—1221no—
443#127—1221no—
444#127C4×D6111yescharacteristic
445#124—21no—
446#124—1222no—
447#124—1222no—
448#124—1221no—
449#124—1221no—
450#124—1221no—
451#121—21no—
452#121—612no—
453#121—612no—
454#121—612no—
455#121—1222no—
456#121—1222no—
457#121—1221no—
458#121—1222no—
459#121—1221no—
460#121—1222no—
461#121—1221no—
462#121C22×D6112yes—
463C4×D4—21no—
464C4×D4—612no—
465C4×D4—612no—
466C4×D4—612no—
467C4×D4—1222no—
468C4×D4—1222no—
469C4×D4—1221no—
470C4×D4—1222no—
471C4×D4—1222no—
472C4×D4—1221no—
473C4×D4—1221no—
474C4×D4C4×D6112yes—
475#117—2444no—
476C2×C4⋊C4—21no—
477C2×C4⋊C4—612no—
478C2×C4⋊C4—1221no—
479C2×C4⋊C4—1222no—
480C2×C4⋊C4—1222no—
481C2×C4⋊C4—1221no—
482C2×C22⋊C4—1222no—
483C2×C22⋊C4—1222no—
484C2×C22⋊C4—1222no—
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×C42—611no—
496C2×C42—1222no—
497C2×C42C22×D6111yescharacteristic
498C4⋊C8—21no—
499C4⋊C8—1222no—
500C4⋊C8—1221no—
501C22⋊C8—612no—
502C22⋊C8—1222no—
503C22⋊C8C22×D6112yes—
504C4×C8—21no—
505C4×C8—1222no—
506C4×C8—1221no—
507#95—21no—
508#95—612no—
509#95—1221no—
510#95C22×D6112yes—
511C24—611no—
512C24—1222no—
513#41—42no—
514#41—42no—
515#41—2448no—
516#41—2444no—
517#41—2444no—
518#41—2444no—
519#41—2444no—
520#41—2442no—
521#41—2442no—
522C2×Q8—21no—
523C2×Q8—1222no—
524C2×Q8—1221no—
525C2×Q8—2444no—
526C2×D4—22no—
527C2×D4—21no—
528C2×D4—21no—
529C2×D4—612no—
530C2×D4—1222no—
531C2×D4—1222no—
532C2×D4—1222no—
533C2×D4—1222no—
534C2×D4—1222no—
535C2×D4—1222no—
536C2×D4—1221no—
537C2×D4—1221no—
538C2×D4—2444no—
539C2×D4—2444no—
540C2×D4—2444no—
541C2×D4—2444no—
542C2×D4—2444no—
543C2×D4C2×C4×D6112yes—
544C22×C4—22no—
545C22×C4—22no—
546C22×C4—611no—
547C22×C4—611no—
548C22×C4—611no—
549C22×C4—611no—
550C22×C4—611no—
551C22×C4—614no—
552C22×C4—614no—
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—1222no—
564C22×C4—1222no—
565C22×C4—1222no—
566C22×C4—1222no—
567C22×C4—1222no—
568C22×C4—2448no—
569C22×C4—2442no—
570C22×C4—2442no—
571C22×C4D4×D6111yescharacteristic
572C22×C4D4×D6111yescharacteristic
573C22×C4C23×D6111yescharacteristic
574C2×C8—22no—
575C2×C8—1222no—
576C2×C8—2444no—
577C4⋊C4—21no—
578C4⋊C4—42no—
579C4⋊C4—612no—
580C4⋊C4—1222no—
581C4⋊C4—1222no—
582C4⋊C4—1221no—
583C4⋊C4—2444no—
584C4⋊C4—2444no—
585C4⋊C4—2442no—
586C4⋊C4C2×C4×D6112yes—
587C22⋊C4—22no—
588C22⋊C4—22no—
589C22⋊C4—1222no—
590C22⋊C4—1222no—
591C22⋊C4—1222no—
592C22⋊C4—1222no—
593C22⋊C4—1222no—
594C22⋊C4—1222no—
595C22⋊C4—2444no—
596C42—611no—
597C42—611no—
598C42—611no—
599C42—611no—
600C42—611no—
601C42—611no—
602C42—611no—
603C42—611no—
604C42—611no—
605C42—611no—
606C42—611no—
607C42—611no—
608C42—2444no—
609C42C2×C4×D6111yescharacteristic
610C42C2×C4×D6111yescharacteristic
611C42D4×D6111yescharacteristic
612C42D4×D6111yescharacteristic
613C23—22no—
614C23—611no—
615C23—611no—
616C23—612no—
617C23—612no—
618C23—1222no—
619C23—2441no—
620C23—2441no—
621C23—2444no—
622C23—2444no—
623C23—2444no—
624C23C2×D4×D6111yescharacteristic
625Q8—42no—
626Q8—2444no—
627Q8—2442no—
628D4—42no—
629D4—42no—
630D4—42no—
631D4—42no—
632D4—42no—
633D4—2442no—
634D4—2442no—
635D4—2444no—
636D4—2444no—
637D4—2444no—
638D4—2444no—
639D4—2444no—
640D4—2442no—
641D4—2442no—
642D4—2442no—
643C2×C4—22no—
644C2×C4—41no—
645C2×C4—41no—
646C2×C4—44no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—611no—
651C2×C4—611no—
652C2×C4—611no—
653C2×C4—611no—
654C2×C4—612no—
655C2×C4—612no—
656C2×C4—614no—
657C2×C4—614no—
658C2×C4—614no—
659C2×C4—614no—
660C2×C4—611no—
661C2×C4—611no—
662C2×C4—1222no—
663C2×C4—1222no—
664C2×C4—1222no—
665C2×C4—1222no—
666C2×C4—1222no—
667C2×C4—1222no—
668C2×C4—1222no—
669C2×C4—2441no—
670C2×C4—2441no—
671C2×C4—2441no—
672C2×C4—2441no—
673C2×C4—2444no—
674C2×C4—2444no—
675C2×C4—2444no—
676C2×C4—2442no—
677C2×C4—2442no—
678C2×C4—2442no—
679C2×C4—2444no—
680C2×C4C22⋊C4×D6111yescharacteristic
681C2×C4C22⋊C4×D6111yescharacteristic
682C2×C4C22⋊C4×D6111yescharacteristic
683C2×C4C22⋊C4×D6111yescharacteristic
684C2×C4D8×D6112yes—
685C2×C4SD16×D6112yes—
686C2×C4C22×C4×D6111yescharacteristic
687C2×C4C2×D4×D6111yescharacteristic
688C8—42no—
689C8—2442no—
690C22—21no—
691C22—21no—
692C22—42no—
693C22—42no—
694C22—42no—
695C22—612no—
696C22—612no—
697C22—1221no—
698C22—1221no—
699C22—1221no—
700C22—1221no—
701C22—4888no—
702C22—2442no—
703C22—2442no—
704C22—2442no—
705C22—2442no—
706C22—2442no—
707C22C2×C22⋊C4×D6111yescharacteristic
708C22C2×D8×D6111yescharacteristic
709C22C2×SD16×D6111yescharacteristic
710C4—21no—
711C4—21no—
712C4—21no—
713C4—21no—
714C4—42no—
715C4—82no—
716C4—612no—
717C4—612no—
718C4—612no—
719C4—612no—
720C4—1221no—
721C4—1221no—
722C4—4882no—
723C4—2442no—
724C4#102×D6112yes—
725C4#102×D6112yes—
726C2—21no—
727C2—21no—
728C2—82no—
729C2—1222no—
730C2—1222no—
731C2—4882no—
732C2#410×D6111yescharacteristic
733C2C2×#102×D6111yescharacteristic
734C2#421×D6111yescharacteristic
subgroupG/H
centerC22C2×C22⋊C4×D61
commutatorC2×C4×C61C23×C4
FrattiniC22×C4C23×D61
FittingC61×#1517C2
socleC22×C61C22×C22⋊C4
prime radical#532×D61C2
cosocleC22×C4×C61C24
hypercenter#1517D61
hypocenterC61#17574
LCSG ▷ C2×C4×C61 ▷ C22×C61 ▷ C61
UCSC1 ◁ C22 ◁ C2×C42 ◁ #1517

Complements

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

NH ≅ G/Ntype
2. #431×D61C2semidirect
3. #21448225C2semidirect
4. #21444385C2semidirect
5. #21444380C2semidirect
6. #21444379C2semidirect
7. #21444378C2semidirect
8. #21444312C2semidirect
9. C61×#1517C2semidirect
11. #16840313C4semidirect
14. #16840310C4semidirect
16. #16840309C4semidirect
20. C4⋊Q8×D61C4semidirect
21. #127×D61C4semidirect
26. C4×D4×D61C4semidirect
29. #16839815C22semidirect
32. #16839812C22semidirect
37. #16839628C22semidirect
41. #16839613C22semidirect
42. #16839497C22semidirect
43. #16839496C22semidirect
44. #16839495C22semidirect
46. C61×#431C22semidirect
47. C61×#382C22semidirect
48. C61×#327C22semidirect
366. #1517D61semidirect
401. #431C2×D61semidirect
407. #382C2×D61semidirect
415. #327C2×D61semidirect
416. C61#17574semidirect

Maximal subgroups

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

subgroupindex
#532×D612
#431×D612
#214482252
#214443852
#214443802
#214443792
#214443782
#214443122
C61×#15172
#1757461