Finite Group Databasebeta

← #29646708

Subgroups — #29646708

Order 15616.

1306 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×#16840309C211yesmaximal, characteristic
2#431×D61C211yesmaximal, characteristic, complemented
3#423×D61C211yesmaximal, characteristic, complemented
4#21444268C214yesmaximal, complemented
5#21444245C211yesmaximal, characteristic, complemented
6#21444244C211yesmaximal, characteristic, complemented
7#21444243C211yesmaximal, characteristic, complemented
8#21444216C214yesmaximal, complemented
9C61×#1486C211yesmaximal, characteristic, complemented
10C22×#11758222—21no—
11C2×M16×D61—21no—
12#16840309—21no—
13#16840309—21no—
14#16840309—21no—
15#16840309—21no—
16#16840309C412yes—
17#16840309C412yes—
18#16840309C2212yes—
19#16840309C2212yes—
20C2×#14519776C411yescharacteristic
21C2×#14519773C411yescharacteristic
22C2×#14519763—21no—
23C2×#14519752C411yescharacteristic
24C2×#14519750—21no—
25C2×#14519748C411yescharacteristic
26C2×C4×D244C2211yescharacteristic
27C2×C4×C22⋊D61—21no—
28C2×C42×D61C2211yescharacteristic
29#16839815C2211yescharacteristic
30#16839814—21no—
31#16839813C2212yescomplemented
32#16839812—21no—
33#16839786C2211yescharacteristic
34#16839785—21no—
35#16839784—21no—
36#16839784C2212yescomplemented
37C4⋊C8×D61—21no—
38C4⋊C8×D61—21no—
39C4⋊C8×D61C2212yescomplemented
40C22⋊C8×D61—21no—
41C4×C8×D61C2212yescomplemented
42#16839491C2214yescomplemented
43D4⋊#92418C2214yescomplemented
44#16839489C2214yescomplemented
45C2×C4×D4×C61C2211yescharacteristic
46C61×#431C2211yescharacteristic
47C61×#423C2211yescharacteristic
48C61×D4⋊C8C2214yescomplemented
49C2×#11758222—22no—
50C2×#11758222—22no—
51C2×#11758222—22no—
52C2×#11758222—22no—
53C2×#11758222—44no—
54C2×#11758222—44no—
55C22×Dic122—21no—
56C22×D244—21no—
57C22×D244C2×C411yescharacteristic
58C22×C22⋊D61—21no—
59C22×C22⋊D61—21no—
60C22×C22⋊D61—21no—
61C22×C4×D61—21no—
62C22×C4×D61C2×C411yescharacteristic
63C22×C4×D61D411yescharacteristic
64C22×C4×D61D411yescharacteristic
65C2×#11758194—21no—
66C2×#11758189—22no—
67M16×D61—44no—
68C2×C8×D61—22no—
69C2×C8×D61—22no—
70#14519776—21no—
71#14519776—21no—
72#14519776C2×C412yes—
73#14519776C2×C412yes—
74#14519773—21no—
75#14519773—21no—
76#14519773C2×C412yes—
77#14519773C2×C412yes—
78#14519763—22no—
79#14519763—22no—
80#14519763—22no—
81#14519763—22no—
82#14519752—21no—
83#14519752—21no—
84#14519752C2×C412yes—
85#14519752C2×C412yes—
86#14519750—22no—
87#14519750—22no—
88#14519750—22no—
89#14519750—22no—
90#14519748—21no—
91#14519748—21no—
92#14519748C2×C412yes—
93#14519748C2×C412yes—
94C4×D244—21no—
95C4×D244—21no—
96C4×D244C2×C412yes—
97C4×D244C2312yes—
98C4×C22⋊D61—22no—
99C4×C22⋊D61—22no—
100C4×C22⋊D61—22no—
101C4×C22⋊D61—22no—
102C2×C4⋊Dic61C2×C411yescharacteristic
103C2×#11758196—21no—
104C2×C22⋊Dic61—21no—
105C2×#11758198—21no—
106C2×#11758198—21no—
107C2×C4×Dic61C2×C411yescharacteristic
108C2×C4×Dic61D411yescharacteristic
109C2×C4×Dic61D411yescharacteristic
110C42×D61C2×C411yescharacteristic
111C42×D61C2×C411yescharacteristic
112C42×D61D411yescharacteristic
113C42×D61D411yescharacteristic
114C42×D61D411yescharacteristic
115C42×D61D411yescharacteristic
116C42×D61C2311yescharacteristic
117C42×D61C2311yescharacteristic
118C4⋊#92418—21no—
119C4⋊#92418—21no—
120C4⋊#92418C2312yes—
121#14519706—22no—
122#14519706—22no—
123#14519706—22no—
124C22⋊#92418—21no—
125#14519689—22no—
126C4×#92418C2312yes—
127C8×Dic61—22no—
128C22×D4×C61C2×C411yescharacteristic
129C23×C4×C61—21no—
130C2×M16×C61—21no—
131C4×D4×C61—21no—
132C4×D4×C61—21no—
133C4×D4×C61C2×C412yes—
134C4×D4×C61C2312yes—
135C2×C4⋊C4×C61C2×C411yescharacteristic
136C2×C22⋊C4×C61—21no—
137C2×C42×C61C2311yescharacteristic
138C4⋊C8×C61—21no—
139C4⋊C8×C61—21no—
140C4⋊C8×C61C2312yes—
141C22⋊C8×C61—21no—
142C4×C8×C61C2312yes—
143C24×C61—21no—
144C23×D61—21no—
145C23×D61C22⋊C411yescharacteristic
146C2×D4×C61—21no—
147C2×D4×C61—42no—
148C2×D4×C61C22×C412yes—
149C22×C4×C61—21no—
150C22×C4×C61—22no—
151C22×C4×C61—22no—
152C22×C4×C61—42no—
153C22×C4×C61—42no—
154C22×C4×C61C22×C411yescharacteristic
155C22×C4×C61C2×D411yescharacteristic
156C22×C4×C61C2×D411yescharacteristic
157C2×C22⋊D61—22no—
158C2×C22⋊D61—22no—
159C2×C22⋊D61—22no—
160C2×C22⋊D61—22no—
161C2×C22⋊D61—22no—
162C2×C22⋊D61—22no—
163C2×C22⋊D61—44no—
164C2×C22⋊D61—44no—
165C2×C22⋊D61—44no—
166C22×Dic61—21no—
167C22×Dic61C22⋊C411yescharacteristic
168C22×Dic61C22⋊C411yescharacteristic
169C22×Dic61C22⋊C411yescharacteristic
170#11758222—48no—
171#11758222—48no—
172#11758222—44no—
173#11758222—44no—
174#11758222—44no—
175#11758222—44no—
176C2×D244—22no—
177C2×D244—22no—
178C2×D244—21no—
179C2×D244—42no—
180C2×D244—44no—
181C2×D244C22×C412yes—
182C2×C4×D61—22no—
183C2×C4×D61—22no—
184C2×C4×D61—42no—
185C2×C4×D61—42no—
186C2×C4×D61—42no—
187C2×C4×D61—42no—
188C2×C4×D61C22⋊C411yescharacteristic
189C2×C4×D61C22⋊C411yescharacteristic
190C2×C4×D61C22⋊C411yescharacteristic
191C2×C4×D61C22⋊C411yescharacteristic
192C2×C4×D61C22⋊C411yescharacteristic
193C2×C4×D61C22⋊C411yescharacteristic
194C2×C4×D61D814yes—
195C2×C4×D61SD1614yes—
196C2×C4×D61C22×C411yescharacteristic
197C2×C4×D61C22×C411yescharacteristic
198C2×C4×D61C2×D411yescharacteristic
199C2×C4×D61C2×D411yescharacteristic
200C2×C4×D61C2×D411yescharacteristic
201C2×C4×D61C2×D411yescharacteristic
202C2×Dic122—22no—
203C2×Dic122—22no—
204C2×Dic122—44no—
205M16×C61—42no—
206C2×C8×C61—22no—
207C2×C8×C61—22no—
208C4⋊C4×C61—21no—
209C4⋊C4×C61C22×C412yes—
210C22⋊C4×C61—22no—
211C22⋊C4×C61—22no—
212C42×C61C22×C411yescharacteristic
213C42×C61C2×D411yescharacteristic
214C42×C61C2×D411yescharacteristic
215C42×C61C2411yescharacteristic
216C22⋊Dic61—22no—
217C22⋊Dic61—22no—
218#11758198—22no—
219#11758198—22no—
220#11758198—22no—
221#11758198—22no—
222C4⋊Dic61—21no—
223C4⋊Dic61C22×C412yes—
224#11758196—22no—
225#11758196—22no—
226C4×Dic61C22⋊C411yescharacteristic
227C4×Dic61C22⋊C411yescharacteristic
228C4×Dic61C22⋊C411yescharacteristic
229C4×Dic61C22⋊C411yescharacteristic
230C4×Dic61C22⋊C411yescharacteristic
231C4×Dic61C22⋊C411yescharacteristic
232C4×Dic61C22×C411yescharacteristic
233C4×Dic61C22×C411yescharacteristic
234C4×Dic61C2×D411yescharacteristic
235C4×Dic61C2×D411yescharacteristic
236C4×Dic61C2×D411yescharacteristic
237C4×Dic61C2×D411yescharacteristic
238#11758194—42no—
239C2×#92418—22no—
240C2×#92418—22no—
241#11758189—44no—
242C8×D61—44no—
243C8×D61—44no—
244C23×C61—22no—
245C23×C61—42no—
246C23×C61—42no—
247C23×C61—42no—
248C23×C61C2×C22⋊C411yescharacteristic
249C22×D61—22no—
250C22×D61—41no—
251C22×D61—41no—
252C22×D61—42no—
253C22×D61—42no—
254C22×D61—42no—
255C22×D61#10214yes—
256C22×D61C2×C22⋊C411yescharacteristic
257C22×D61C2×C22⋊C411yescharacteristic
258D4×C61—24no—
259D4×C61—42no—
260C2×C4×C61—22no—
261C2×C4×C61—22no—
262C2×C4×C61—41no—
263C2×C4×C61—42no—
264C2×C4×C61—42no—
265C2×C4×C61—42no—
266C2×C4×C61—44no—
267C2×C4×C61C2×C22⋊C411yescharacteristic
268C2×C4×C61C2×C22⋊C411yescharacteristic
269C2×C4×C61C2×C22⋊C411yescharacteristic
270C2×C4×C61C2×D812yes—
271C2×C4×C61C2×SD1612yes—
272C2×C4×C61C23×C411yescharacteristic
273C2×C4×C61C22×D411yescharacteristic
274C2×C4×C61C22×D411yescharacteristic
275C22⋊D61—44no—
276C22⋊D61—44no—
277C22⋊D61—44no—
278C22⋊D61—44no—
279C22⋊D61—44no—
280C22⋊D61—44no—
281C2×Dic61—22no—
282C2×Dic61—22no—
283C2×Dic61—41no—
284C2×Dic61—42no—
285C2×Dic61#10214yes—
286C2×Dic61C2×C22⋊C411yescharacteristic
287C2×Dic61C2×C22⋊C411yescharacteristic
288C2×Dic61C2×C22⋊C411yescharacteristic
289C2×Dic61C2×C22⋊C411yescharacteristic
290C2×Dic61C2×C22⋊C411yescharacteristic
291C2×Dic61C2×C22⋊C411yescharacteristic
292D244—24no—
293D244—42no—
294D244—44no—
295D244—44no—
296C4×D61—22no—
297C4×D61—22no—
298C4×D61—22no—
299C4×D61—22no—
300C4×D61—41no—
301C4×D61—41no—
302C4×D61—41no—
303C4×D61—41no—
304C4×D61—42no—
305C4×D61—42no—
306C4×D61—44no—
307C4×D61#10214yes—
308C4×D61#10214yes—
309C4×D61C2×D812yes—
310C4×D61C2×D812yes—
311C4×D61C2×SD1612yes—
312C4×D61C2×SD1612yes—
313Dic122—44no—
314Dic122—44no—
315C8×C61—42no—
316C8×C61—42no—
317#92418—42no—
318#92418—42no—
319#17485—611nomaximal, Sylow
320C22×C61—21no—
321C22×C61—21no—
322C22×C61—42no—
323C22×C61—42no—
324C22×C61—42no—
325C22×C61—84no—
326C22×C61C2×#10212yes—
327C22×C61C22×C22⋊C411yescharacteristic
328C2×D61—21no—
329C2×D61—21no—
330C2×D61—21no—
331C2×D61—21no—
332C2×D61—44no—
333C2×D61—42no—
334C2×D61—42no—
335C2×D61—42no—
336C2×D61—84no—
337C2×D61C2×#10212yes—
338C2×D61C2×#10212yes—
339C4×C61—21no—
340C4×C61—21no—
341C4×C61—21no—
342C4×C61—42no—
343C4×C61C2×#10212yes—
344C4×C61#56812yes—
345C4×C61C22×D811yescharacteristic
346C4×C61C22×SD1611yescharacteristic
347Dic61—21no—
348Dic61—21no—
349Dic61—21no—
350Dic61—42no—
351Dic61C2×#10212yes—
352Dic61C2×#10212yes—
353Dic61#42112yes—
354C2×#532—611no—
355C2×#431—611no—
356C2×#423—611no—
357#1492—614no—
358#1486—611no—
359#1486—611no—
360#1486—611no—
361#1486D6111yescharacteristic, complemented
362#1480—614no—
363C2×C61—22no—
364C2×C61—82no—
365C2×C61#287911yescharacteristic
366C2×C61C22×#10211yescharacteristic
367C2×C61C2×#42111yescharacteristic
368D61—22no—
369D61—22no—
370D61—82no—
371C22×#41—1221no—
372C22×M16—1221no—
373#532—612no—
374#532—612no—
375#532—612no—
376#532—612no—
377#532—1221no—
378#532—1221no—
379#532—1221no—
380#532—1221no—
381C2×C4⋊Q8—611no—
382C2×#127—611no—
383C2×#124—1221no—
384C2×#121—611no—
385C2×#121—611no—
386C2×#121—1221no—
387C2×C4×D4—611no—
388C2×C4×D4—1221no—
389C2×C4×D4C2×D6111yescharacteristic
390C22×C42—611no—
391#431—611no—
392#431—612no—
393#431—1221no—
394#431—1221no—
395#431C2×D6111yescharacteristic
396#423—611no—
397#423—612no—
398#423—1221no—
399#423—1221no—
400#423C2×D6111yescharacteristic
401C2×C4⋊C8—612no—
402C2×C4⋊C8—1221no—
403C2×C4⋊C8—1221no—
404C2×C22⋊C8—1221no—
405C2×C4×C8—612no—
406D4⋊C8—614no—
407D4⋊C8—614no—
408D4⋊C8—614no—
409D4⋊C8C2×D6114yescomplemented
410C61#1748511yescharacteristic, complemented, Sylow
411C2×#41—1222no—
412C2×#41—1222no—
413C2×#41—1222no—
414C2×#41—1222no—
415C2×#41—2444no—
416C2×#41—2444no—
417C22×Q8—1221no—
418C22×D4—611no—
419C22×D4—1221no—
420C22×D4—1221no—
421C22×D4—1221no—
422C22×D4—1221no—
423C22×D4C4×D6111yescharacteristic
424C23×C4—21no—
425C23×C4—611no—
426C23×C4—611no—
427C23×C4—611no—
428C23×C4—1221no—
429C2×M16—21no—
430C2×M16—1222no—
431C2×M16—1221no—
432C2×M16—2444no—
433C22×C8—1222no—
434C22×C8—1222no—
435C4⋊Q8—612no—
436C4⋊Q8—612no—
437C4⋊Q8—1221no—
438C4⋊Q8—1221no—
439#127—612no—
440#127—612no—
441#127—1221no—
442#127—1221no—
443#124—1222no—
444#124—1222no—
445#124—1222no—
446#124—1222no—
447#121—612no—
448#121—612no—
449#121—612no—
450#121—612no—
451#121—1222no—
452#121—1222no—
453#121—1222no—
454#121—1222no—
455#121—1221no—
456#121—1221no—
457#121—1221no—
458#121—1221no—
459C4×D4—21no—
460C4×D4—21no—
461C4×D4—612no—
462C4×D4—612no—
463C4×D4—1222no—
464C4×D4—1222no—
465C4×D4—1222no—
466C4×D4—1222no—
467C4×D4—1221no—
468C4×D4—1221no—
469C4×D4C4×D6112yes—
470C4×D4C22×D6112yes—
471C2×C4⋊C4—611no—
472C2×C4⋊C4—1221no—
473C2×C4⋊C4C4×D6111yescharacteristic
474C2×C22⋊C4—21no—
475C2×C22⋊C4—1221no—
476C2×C22⋊C4—1221no—
477C2×C22⋊C4—1221no—
478C2×C42—611no—
479C2×C42—611no—
480C2×C42—611no—
481C2×C42—611no—
482C2×C42—611no—
483C2×C42—611no—
484C2×C42—611no—
485C2×C42—611no—
486C2×C42—611no—
487C2×C42—611no—
488C2×C42—611no—
489C2×C42C22×D6111yescharacteristic
490C4⋊C8—21no—
491C4⋊C8—21no—
492C4⋊C8—612no—
493C4⋊C8—1222no—
494C4⋊C8—1222no—
495C4⋊C8—1222no—
496C4⋊C8—1221no—
497C4⋊C8—1221no—
498C4⋊C8C22×D6112yes—
499C22⋊C8—21no—
500C22⋊C8—1222no—
501C22⋊C8—1221no—
502C4×C8—612no—
503C4×C8—1222no—
504C4×C8C22×D6112yes—
505C24—21no—
506C24—611no—
507C24—1221no—
508#41—2448no—
509#41—2448no—
510#41—2444no—
511#41—2444no—
512#41—2444no—
513#41—2444no—
514C2×Q8—1222no—
515C2×Q8—1222no—
516C2×Q8—2444no—
517C2×D4—21no—
518C2×D4—42no—
519C2×D4—612no—
520C2×D4—1222no—
521C2×D4—1222no—
522C2×D4—1222no—
523C2×D4—1222no—
524C2×D4—1222no—
525C2×D4—1222no—
526C2×D4—1222no—
527C2×D4—1222no—
528C2×D4—1221no—
529C2×D4—2442no—
530C2×D4—2444no—
531C2×D4—2444no—
532C2×D4—2444no—
533C2×D4—2444no—
534C2×D4C2×C4×D6112yes—
535C22×C4—21no—
536C22×C4—22no—
537C22×C4—22no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—611no—
541C22×C4—611no—
542C22×C4—611no—
543C22×C4—611no—
544C22×C4—611no—
545C22×C4—614no—
546C22×C4—614no—
547C22×C4—611no—
548C22×C4—611no—
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—1221no—
558C22×C4—1222no—
559C22×C4—1222no—
560C22×C4—2442no—
561C22×C4—2442no—
562C22×C4—2442no—
563C22×C4—2442no—
564C22×C4C2×C4×D6111yescharacteristic
565C22×C4D4×D6111yescharacteristic
566C22×C4D4×D6111yescharacteristic
567M16—42no—
568M16—2444no—
569M16—2442no—
570C2×C8—22no—
571C2×C8—22no—
572C2×C8—1222no—
573C2×C8—1222no—
574C2×C8—2444no—
575C2×C8—2444no—
576C4⋊C4—21no—
577C4⋊C4—612no—
578C4⋊C4—1222no—
579C4⋊C4—1222no—
580C4⋊C4—1221no—
581C4⋊C4C2×C4×D6112yes—
582C22⋊C4—22no—
583C22⋊C4—22no—
584C22⋊C4—1222no—
585C22⋊C4—1222no—
586C22⋊C4—1222no—
587C22⋊C4—1222no—
588C22⋊C4—1222no—
589C22⋊C4—1222no—
590C42—611no—
591C42—611no—
592C42—611no—
593C42—611no—
594C42—611no—
595C42—611no—
596C42—611no—
597C42—611no—
598C42—611no—
599C42—611no—
600C42—611no—
601C42—611no—
602C42C2×C4×D6111yescharacteristic
603C42D4×D6111yescharacteristic
604C42D4×D6111yescharacteristic
605C42C23×D6111yescharacteristic
606C23—22no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—611no—
611C23—611no—
612C23—614no—
613C23—1222no—
614C23—2441no—
615C23—2441no—
616C23—2442no—
617C23—2442no—
618C23—2442no—
619C23C22⋊C4×D6111yescharacteristic
620Q8—2444no—
621Q8—2444no—
622D4—24no—
623D4—42no—
624D4—1224no—
625D4—2442no—
626D4—2444no—
627D4—2444no—
628D4—2444no—
629D4—2444no—
630D4—2444no—
631D4—2444no—
632D4—2444no—
633D4—2444no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—41no—
637C2×C4—42no—
638C2×C4—44no—
639C2×C4—42no—
640C2×C4—42no—
641C2×C4—611no—
642C2×C4—611no—
643C2×C4—611no—
644C2×C4—614no—
645C2×C4—614no—
646C2×C4—614no—
647C2×C4—612no—
648C2×C4—612no—
649C2×C4—612no—
650C2×C4—612no—
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—1222no—
660C2×C4—2441no—
661C2×C4—2441no—
662C2×C4—2441no—
663C2×C4—2441no—
664C2×C4—2441no—
665C2×C4—2442no—
666C2×C4—2444no—
667C2×C4—2442no—
668C2×C4—2442no—
669C2×C4C22⋊C4×D6111yescharacteristic
670C2×C4C22⋊C4×D6111yescharacteristic
671C2×C4C22⋊C4×D6111yescharacteristic
672C2×C4D8×D6112yes—
673C2×C4SD16×D6112yes—
674C2×C4C22×C4×D6111yescharacteristic
675C2×C4C2×D4×D6111yescharacteristic
676C2×C4C2×D4×D6111yescharacteristic
677C8—42no—
678C8—42no—
679C8—2442no—
680C8—2442no—
681C22—21no—
682C22—21no—
683C22—42no—
684C22—42no—
685C22—42no—
686C22—84no—
687C22—612no—
688C22—612no—
689C22—1221no—
690C22—1221no—
691C22—1221no—
692C22—1221no—
693C22—4884no—
694C22—2444no—
695C22—2442no—
696C22—2442no—
697C22—2442no—
698C22#102×D6112yes—
699C22C2×C22⋊C4×D6111yescharacteristic
700C4—21no—
701C4—21no—
702C4—21no—
703C4—42no—
704C4—612no—
705C4—612no—
706C4—612no—
707C4—1221no—
708C4—1221no—
709C4—1221no—
710C4—2442no—
711C4#102×D6112yes—
712C4#1684052812yes—
713C4C2×D8×D6111yescharacteristic
714C4C2×SD16×D6111yescharacteristic
715C2—22no—
716C2—82no—
717C2—1222no—
718C2—1222no—
719C2—4882no—
720C2#2145426211yescharacteristic
721C2C2×#102×D6111yescharacteristic
722C2#421×D6111yescharacteristic
subgroupG/H
centerC2×C4C2×D4×D61
commutatorC2×C4×C61C23×C4
FrattiniC42C23×D61
FittingC61×#1486C2
socleC22×C61C22×C22⋊C4
prime radicalC2×#16840309C2
cosocleC42×C61C24
hypercenter#1486D61
hypocenterC61#17485
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C2×C4 ◁ C2×C42 ◁ #1486

Complements

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

NH ≅ G/Ntype
2. #431×D61C2semidirect
3. #423×D61C2semidirect
4. #21444268C2semidirect
5. #21444245C2semidirect
6. #21444244C2semidirect
7. #21444243C2semidirect
8. #21444216C2semidirect
9. C61×#1486C2semidirect
31. #16839813C22semidirect
36. #16839784C22semidirect
39. C4⋊C8×D61C22semidirect
41. C4×C8×D61C22semidirect
42. #16839491C22semidirect
43. D4⋊#92418C22semidirect
44. #16839489C22semidirect
48. C61×D4⋊C8C22semidirect
361. #1486D61semidirect
409. D4⋊C8C2×D61semidirect
410. C61#17485semidirect

Maximal subgroups

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

subgroupindex
C2×#168403092
#431×D612
#423×D612
#214442682
#214442452
#214442442
#214442432
#214442162
C61×#14862
#1748561