Finite Group Databasebeta

← #30616336

Subgroups — #30616336

Order 15616.

1534 conjugacy classes of subgroups.

The subgroup lattice has 758 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D61⋊#424C211yesmaximal, characteristic, complemented
2C2×#16840753C211yesmaximal, characteristic
3C2×#16840755C211yesmaximal, characteristic, complemented
4C2×#16840752C211yesmaximal, characteristic
5C22×#14519840C211yesmaximal, characteristic, complemented
6#21462256C211yesmaximal, characteristic, complemented
7#21461987C214yesmaximal, complemented
8#21461985C214yesmaximal, complemented
9#536×D61C211yesmaximal, characteristic
10C2×D61⋊M16C2211yescharacteristic
11C22×D61⋊C8C2211yescharacteristic
12C2×#14519856C2211yescharacteristic
13C22×C4⋊#6923C2211yescharacteristic
14#16840769—22no—
15#16840768—22no—
16D61⋊(C4⋊C8)C2214yes—
17#16840755—24no—
18#16840753—24no—
19#16840752—24no—
20C2×#14519840—24no—
21C2×#14519840C2214yes—
22C2×#14519840C2212yes—
23C2×#14519840C2214yes—
24C2×#14519840C2212yes—
25C2×#14519839C2212yes—
26C2×#14519839C2212yes—
27C4⋊C4×#6923—22no—
28C4×C4⋊#6923C2214yes—
29C22⋊C4×#6923—22no—
30C2×#41×D61C2211yescharacteristic
31C22×Q8×D61C2211yescharacteristic
32#16840338C411yescharacteristic, complemented
33#16840337C412yescomplemented
34#16840336C411yescharacteristic, complemented
35#16840335—22no—
36#16840334—22no—
37#16840333C411yescharacteristic, complemented
38#16840332C412yescomplemented
39C4⋊Q8×D61C2212yes—
40#124×D61C2212yes—
41#123×D61—22no—
42C22⋊Q8×D61—22no—
43#117×D61C2211yescharacteristic
44C61×#536C411yescharacteristic, complemented
45C23×#6923—21no—
46C2×#11758213—21no—
47D61⋊M16—22no—
48D61⋊M16—22no—
49C2×#11758217—21no—
50C2×D61⋊C8—22no—
51C2×D61⋊C8—22no—
52C2×D61⋊C8—21no—
53C2×D61⋊C8C2312yes—
54C2×D61⋊C8C2312yes—
55C22×#92420—21no—
56#14519856—22no—
57#14519856D414yes—
58C2×C4⋊#6923—21no—
59C2×C4⋊#6923—22no—
60C2×C4⋊#6923D414yes—
61C2×C4⋊#6923C2312yes—
62C2×C4⋊#6923C2312yes—
63C2×C22⋊#6923—21no—
64C2×C4×#6923—21no—
65C2×C4×#6923—24no—
66#14519844—24no—
67C4⋊#92420—24no—
68#14519840—28no—
69#14519840—24no—
70#14519840—24no—
71#14519840—28no—
72#14519839—24no—
73#14519839—24no—
74(C2×#6923)⋊C4—24no—
75C2×#11758226C2×C411yescharacteristic
76C2×#11758222—21no—
77C2×#11758222C2×C411yescharacteristic
78C2×#11758224—21no—
79C2×#11758224C2×C411yescharacteristic
80#41×D61—22no—
81#41×D61—22no—
82#41×D61—22no—
83#41×D61—22no—
84C22×Dic122—21no—
85C22×Dic122C2×C411yescharacteristic
86C2×Q8×D61—21no—
87C2×Q8×D61—21no—
88C2×Q8×D61—22no—
89C2×Q8×D61—22no—
90C2×Q8×D61—22no—
91C2×Q8×D61—22no—
92C2×Q8×D61C2×C412yes—
93C2×Q8×D61C2312yes—
94C2×Q8×D61C2311yescharacteristic
95C2×D4×D61—21no—
96C2×D4×D61C2311yescharacteristic
97C22×C4×D61—21no—
98C22×C4×D61—21no—
99C22×C4×D61C2311yescharacteristic
100#14519777C2×C412yescomplemented
101#14519776—24no—
102#14519775C2×C412yescomplemented
103#14519775C2×C412yescomplemented
104#14519766C2×C412yescomplemented
105#14519765C2×C412yescomplemented
106#14519764C2×C412yescomplemented
107#14519763—24no—
108#14519762—24no—
109#14519761—22no—
110#14519760—22no—
111#14519759—24no—
112#14519758—22no—
113#14519757—22no—
114#14519756—22no—
115#14519755—24no—
116#14519754—24no—
117#14519753—22no—
118#14519736C2×C411yescharacteristic
119#14519735D412yes—
120#14519734C2×C412yes—
121#14519733D412yes—
122C4⋊C4×D61—24no—
123C4⋊C4×D61D412yes—
124C22⋊C4×D61—24no—
125C22⋊C4×D61D412yes—
126C42×D61C2312yes—
127C2×#41×C61C2×C411yescharacteristic
128C22×Q8×C61C2×C411yescharacteristic
129C4⋊Q8×C61C2×C412yescomplemented
130#124×C61C2×C412yescomplemented
131#123×C61—22no—
132C22⋊Q8×C61—22no—
133#117×C61C2×C411yescharacteristic
134C23×D61—21no—
135C23×D61C2×D411yescharacteristic
136C22×#6923—22no—
137C22×#6923—22no—
138C22×#6923—24no—
139C22×#6923—82no—
140#41×C61—22no—
141#41×C61—22no—
142C2×Q8×C61—21no—
143C2×Q8×C61—22no—
144C2×Q8×C61—22no—
145C2×Q8×C61C22×C412yes—
146C2×Q8×C61C22×C411yescharacteristic
147C2×D4×C61—21no—
148C2×D4×C61C22×C411yescharacteristic
149C22×C4×C61—21no—
150C22×C4×C61—21no—
151C22×C4×C61C22×C411yescharacteristic
152C2×C22⋊D61—21no—
153C2×C22⋊D61—21no—
154C2×C22⋊D61—21no—
155C22×Dic61—21no—
156C22×Dic61—21no—
157C22×Dic61C2×D411yescharacteristic
158#11758226—22no—
159#11758226—22no—
160Q8×D61—24no—
161Q8×D61—24no—
162Q8×D61—22no—
163Q8×D61—22no—
164Q8×D61—21no—
165Q8×D61—21no—
166Q8×D61—22no—
167Q8×D61—22no—
168Q8×D61—21no—
169Q8×D61—21no—
170Q8×D61—42no—
171Q8×D61—42no—
172Q8×D61—42no—
173Q8×D61—42no—
174#11758224—22no—
175#11758224—22no—
176#11758224—42no—
177#11758224—42no—
178D4×D61—21no—
179D4×D61—21no—
180D4×D61—21no—
181D4×D61—21no—
182D4×D61—42no—
183D4×D61—42no—
184#11758222—22no—
185#11758222—22no—
186#11758222—42no—
187#11758222—42no—
188C2×D244—21no—
189C2×D244C22×C411yescharacteristic
190C2×C4×D61—22no—
191C2×C4×D61—21no—
192C2×C4×D61—22no—
193C2×C4×D61—21no—
194C2×C4×D61—21no—
195C2×C4×D61—42no—
196C2×C4×D61—42no—
197C2×C4×D61—42no—
198C2×C4×D61—42no—
199C2×C4×D61C22×C411yescharacteristic
200C2×C4×D61C2×D414yes—
201C2×C4×D61C2×D412yes—
202C2×C4×D61C2×D412yes—
203C2×C4×D61C2×D411yescharacteristic
204C2×C4×D61C2×D411yescharacteristic
205C2×C4×D61#4112yes—
206C2×C4×D61#4112yes—
207C2×C4×D61C2411yescharacteristic
208C2×Dic122—22no—
209C2×Dic122—22no—
210C2×Dic122—21no—
211C2×Dic122—22no—
212C2×Dic122—22no—
213C2×Dic122—21no—
214C2×Dic122—42no—
215C2×Dic122—42no—
216C2×Dic122C22×C412yes—
217C2×Dic122C22×C411yescharacteristic
218C22⋊#6923—24no—
219#11758217—42no—
220C2×#92420—22no—
221C2×#92420—22no—
222C2×#92420—42no—
223C4⋊#6923—24no—
224C4⋊#6923—22no—
225C4⋊#6923—22no—
226C4⋊#6923C2×D414yes—
227C4⋊#6923C2×D414yes—
228C4×#6923—24no—
229C4×#6923—84no—
230#11758213—42no—
231D61⋊C8—22no—
232D61⋊C8—22no—
233D61⋊C8—22no—
234D61⋊C8—22no—
235D61⋊C8—42no—
236C4⋊C4×C61—24no—
237C4⋊C4×C61C22⋊C412yes—
238C22⋊C4×C61—24no—
239C22⋊C4×C61C22⋊C412yes—
240C42×C61C22×C412yes—
241C22⋊Dic61—24no—
242C22⋊Dic61C22⋊C412yes—
243#11758198—24no—
244#11758198—24no—
245#11758198C22⋊C414yes—
246C4⋊Dic61—24no—
247C4⋊Dic61C22⋊C412yes—
248#11758196—24no—
249#11758196—24no—
250#11758196C22⋊C414yes—
251C4×Dic61C22×C412yes—
252C4×Dic61C2×D414yes—
253C23×C61—21no—
254C23×C61C2×C22⋊C411yescharacteristic
255C22×D61—22no—
256C22×D61—22no—
257C22×D61—21no—
258C22×D61—41no—
259C22×D61—41no—
260C22×D61—42no—
261C22×D61—42no—
262C22×D61C2×C22⋊C411yescharacteristic
263C22×D61#12112yes—
264C22×D61#12112yes—
265C22×D61C22×D411yescharacteristic
266C2×#6923—24no—
267C2×#6923—24no—
268C2×#6923—42no—
269C2×#6923—44no—
270C2×#6923—42no—
271C2×#6923—84no—
272Q8×C61—22no—
273Q8×C61—22no—
274Q8×C61—21no—
275Q8×C61—21no—
276Q8×C61—42no—
277D4×C61—21no—
278D4×C61—21no—
279D4×C61—42no—
280C2×C4×C61—21no—
281C2×C4×C61—22no—
282C2×C4×C61—42no—
283C2×C4×C61—42no—
284C2×C4×C61C2×C22⋊C414yes—
285C2×C4×C61C2×C22⋊C411yescharacteristic
286C2×C4×C61C4×D412yes—
287C2×C4×C61C4×D412yes—
288C2×C4×C61C23×C411yescharacteristic
289C22⋊D61—42no—
290C22⋊D61—42no—
291C22⋊D61—41no—
292C22⋊D61—41no—
293C2×Dic61—21no—
294C2×Dic61—22no—
295C2×Dic61—42no—
296C2×Dic61—42no—
297C2×Dic61C2×C22⋊C414yes—
298C2×Dic61C2×C22⋊C411yescharacteristic
299C2×Dic61#12412yes—
300C2×Dic61#12712yes—
301C2×Dic61C22×D411yescharacteristic
302D244—21no—
303D244—21no—
304D244—42no—
305C4×D61—24no—
306C4×D61—24no—
307C4×D61—41no—
308C4×D61—41no—
309C4×D61—42no—
310C4×D61—42no—
311C4×D61—44no—
312C4×D61—42no—
313C4×D61—42no—
314C4×D61C4×D412yes—
315C4×D61C4×D412yes—
316C4×D61#12112yes—
317C4×D61#12112yes—
318C4×D61#12412yes—
319C4×D61#12712yes—
320C4×D61C22×D411yescharacteristic
321C4×D61C22×D411yescharacteristic
322C4×D61C2×#4111yescharacteristic
323C4×D61C2×#4111yescharacteristic
324Dic122—22no—
325Dic122—22no—
326Dic122—21no—
327Dic122—21no—
328Dic122—42no—
329Dic122—42no—
330Dic122—41no—
331Dic122—42no—
332Dic122—41no—
333Dic122—44no—
334#92420—42no—
335#92420—42no—
336#21262—611nomaximal, Sylow
337C22×C61—22no—
338C22×C61—42no—
339C22×C61—41no—
340C22×C61#39012yes—
341C22×C61C22×C22⋊C411yescharacteristic
342C2×D61—22no—
343C2×D61—22no—
344C2×D61—22no—
345C2×D61—24no—
346C2×D61—42no—
347C2×D61—41no—
348C2×D61—81no—
349C2×D61—81no—
350C2×D61—82no—
351C2×D61#39012yes—
352C2×D61C2×#12111yescharacteristic
353C2×D61C2×#12111yescharacteristic
354C2×D61#57712yes—
355C2×D61#57812yes—
356#6923—44no—
357#6923—44no—
358C4×C61—24no—
359C4×C61—42no—
360C4×C61—41no—
361C4×C61#39012yes—
362C4×C61C2×C4×D411yescharacteristic
363C4×C61C2×C4×D411yescharacteristic
364Dic61—24no—
365Dic61—42no—
366Dic61—41no—
367Dic61#39012yes—
368Dic61C2×#12411yescharacteristic
369Dic61C2×#12711yescharacteristic
370C2×#536—611no—
371C2×#424—611no—
372C2×#417—611no—
373C2×#419—611no—
374C2×#416—611no—
375C22×#103—611no—
376#2274—611no—
377#1983—614no—
378#1981—614no—
379C2×C61—22no—
380C2×C61—81no—
381C2×C61C2×#39011yescharacteristic
382C2×C61#289812yes—
383D61—22no—
384D61—81no—
385D61#304211yescharacteristic
386D61#304411yescharacteristic
387D61#304612yes—
388C22×#41—611no—
389C23×Q8—611no—
390C22×M16—611no—
391C23×C8—611no—
392#536—611no—
393#536—611no—
394#536—612no—
395#536—612no—
396#536—611no—
397#536—1222no—
398#536—1222no—
399#536#692311yescharacteristic, complemented
400C2×C4⋊Q8—612no—
401C2×#124—612no—
402C2×#123—1222no—
403C2×C22⋊Q8—1222no—
404C2×#117—611no—
405C2×#117—611no—
406C22×C4⋊C4—611no—
407#424—1222no—
408#424—1222no—
409C2×C4⋊C8—614no—
410#419—1224no—
411#417—1224no—
412#416—1224no—
413C2×#103—614no—
414C2×#103—612no—
415C2×#103—614no—
416C2×#103—612no—
417C2×#103—1224no—
418C2×#102—612no—
419C2×#102—612no—
420C4×C4⋊C4—614no—
421C4×C4⋊C4—1222no—
422C4×C22⋊C4—1222no—
423C61#2126211yescharacteristic, complemented, Sylow
424C2×#41—611no—
425C2×#41—611no—
426C2×#41—611no—
427C2×#41—1221no—
428C2×#41—1221no—
429C2×#41—1222no—
430C2×#41—1222no—
431C2×#41—1222no—
432C2×#41—1222no—
433C2×#41C2×#692311yescharacteristic
434C22×Q8—612no—
435C22×Q8—612no—
436C22×Q8—611no—
437C22×Q8—611no—
438C22×Q8—1221no—
439C22×Q8—1221no—
440C22×Q8—1221no—
441C22×Q8—1222no—
442C22×Q8—1222no—
443C22×Q8—1222no—
444C22×Q8—1222no—
445C22×Q8C2×#692311yescharacteristic
446C22×D4—611no—
447C22×D4—1221no—
448C23×C4—611no—
449C23×C4—1221no—
450C23×C4—1221no—
451C23×C4—1221no—
452C2×M16—1221no—
453C2×M16—1222no—
454C2×M16—1222no—
455C2×M16—1221no—
456C22×C8—612no—
457C22×C8—612no—
458C22×C8—1221no—
459C22×C8—1222no—
460C22×C8—1222no—
461C22×C8—1221no—
462C4⋊Q8—612no—
463C4⋊Q8—612no—
464C4⋊Q8—612no—
465C4⋊Q8—1224no—
466C4⋊Q8C2×#692312yescomplemented
467#124—612no—
468#124—612no—
469#124—612no—
470#124—1224no—
471#124C2×#692312yescomplemented
472#123—22no—
473#123—1224no—
474#123—1224no—
475#123—1222no—
476#123—1222no—
477#123—1222no—
478C22⋊Q8—22no—
479C22⋊Q8—1224no—
480C22⋊Q8—1224no—
481C22⋊Q8—1222no—
482C22⋊Q8—1222no—
483C22⋊Q8—1222no—
484#117—611no—
485#117—612no—
486#117—612no—
487#117—612no—
488#117—614no—
489#117—1222no—
490#117C2×#692311yescharacteristic
491C2×C4⋊C4—612no—
492C2×C4⋊C4—614no—
493C2×C4⋊C4—612no—
494C2×C4⋊C4—612no—
495C2×C4⋊C4—1224no—
496C2×C4⋊C4—1222no—
497C2×C4⋊C4—1221no—
498C2×C22⋊C4—612no—
499C2×C22⋊C4—1224no—
500C2×C22⋊C4—1221no—
501C2×C42—612no—
502C2×C42—1221no—
503C2×C42—1224no—
504C4⋊C8—1224no—
505C4⋊C8—1224no—
506#103—1228no—
507#103—1224no—
508#103—1224no—
509#103—1228no—
510#102—1224no—
511#102—1224no—
512#95—1224no—
513C24—611no—
514C24—1221no—
515#41—22no—
516#41—22no—
517#41—1222no—
518#41—1222no—
519#41—1222no—
520#41—1222no—
521#41—1222no—
522#41—1222no—
523#41—2442no—
524#41—2442no—
525#41—2442no—
526#41—2442no—
527C2×Q8—21no—
528C2×Q8—22no—
529C2×Q8—22no—
530C2×Q8—612no—
531C2×Q8—611no—
532C2×Q8—1222no—
533C2×Q8—1222no—
534C2×Q8—1221no—
535C2×Q8—1222no—
536C2×Q8—1222no—
537C2×Q8—1221no—
538C2×Q8—1221no—
539C2×Q8—1224no—
540C2×Q8—1224no—
541C2×Q8—1222no—
542C2×Q8—1222no—
543C2×Q8—1221no—
544C2×Q8—1221no—
545C2×Q8—1221no—
546C2×Q8—1222no—
547C2×Q8—1222no—
548C2×Q8—2442no—
549C2×Q8—2442no—
550C2×Q8—2442no—
551C2×Q8—2442no—
552C2×Q8—2442no—
553C2×Q8—2442no—
554C2×Q8C22×#692312yes—
555C2×Q8C22×#692311yescharacteristic
556C2×D4—21no—
557C2×D4—611no—
558C2×D4—1221no—
559C2×D4—1221no—
560C2×D4—1221no—
561C2×D4—1221no—
562C2×D4—1221no—
563C2×D4—1221no—
564C2×D4—1221no—
565C2×D4—1221no—
566C2×D4—2442no—
567C2×D4—2442no—
568C2×D4C22×#692311yescharacteristic
569C22×C4—21no—
570C22×C4—21no—
571C22×C4—611no—
572C22×C4—611no—
573C22×C4—611no—
574C22×C4—612no—
575C22×C4—612no—
576C22×C4—612no—
577C22×C4—612no—
578C22×C4—611no—
579C22×C4—611no—
580C22×C4—614no—
581C22×C4—1221no—
582C22×C4—1222no—
583C22×C4—1221no—
584C22×C4—1222no—
585C22×C4—1221no—
586C22×C4—1224no—
587C22×C4—1222no—
588C22×C4—1222no—
589C22×C4—1221no—
590C22×C4—1221no—
591C22×C4—4882no—
592C22×C4—2442no—
593C22×C4—2442no—
594C22×C4—2442no—
595C22×C4—2442no—
596C22×C4C22×#692311yescharacteristic
597M16—2442no—
598M16—2442no—
599C2×C8—1222no—
600C2×C8—1222no—
601C2×C8—1222no—
602C2×C8—1222no—
603C2×C8—1222no—
604C2×C8—1222no—
605C2×C8—2442no—
606C2×C8—2442no—
607C4⋊C4—24no—
608C4⋊C4—614no—
609C4⋊C4—612no—
610C4⋊C4—614no—
611C4⋊C4—614no—
612C4⋊C4—1224no—
613C4⋊C4—1224no—
614C4⋊C4—1224no—
615C4⋊C4—1222no—
616C4⋊C4—1222no—
617C4⋊C4—1224no—
618C4⋊C4C22⋊#692312yes—
619C22⋊C4—24no—
620C22⋊C4—612no—
621C22⋊C4—614no—
622C22⋊C4—1224no—
623C22⋊C4—1224no—
624C22⋊C4—1224no—
625C22⋊C4—1224no—
626C22⋊C4C22⋊#692312yes—
627C42—614no—
628C42—612no—
629C42—1224no—
630C42—4884no—
631C42C22×#692312yes—
632C23—21no—
633C23—611no—
634C23—612no—
635C23—612no—
636C23—611no—
637C23—1222no—
638C23—1222no—
639C23—1221no—
640C23—2441no—
641C23—2441no—
642C23—2442no—
643C23—2442no—
644C23C2×C22⋊#692311yescharacteristic
645Q8—22no—
646Q8—22no—
647Q8—21no—
648Q8—21no—
649Q8—42no—
650Q8—1222no—
651Q8—1222no—
652Q8—1221no—
653Q8—1221no—
654Q8—2442no—
655Q8—2442no—
656Q8—2444no—
657Q8—2441no—
658Q8—2441no—
659Q8—2442no—
660D4—21no—
661D4—21no—
662D4—42no—
663D4—1221no—
664D4—1221no—
665D4—2442no—
666D4—2441no—
667D4—2441no—
668D4—2442no—
669D4—2442no—
670C2×C4—22no—
671C2×C4—21no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—612no—
675C2×C4—612no—
676C2×C4—611no—
677C2×C4—611no—
678C2×C4—612no—
679C2×C4—612no—
680C2×C4—612no—
681C2×C4—612no—
682C2×C4—612no—
683C2×C4—612no—
684C2×C4—611no—
685C2×C4—611no—
686C2×C4—611no—
687C2×C4—611no—
688C2×C4—614no—
689C2×C4—1224no—
690C2×C4—1224no—
691C2×C4—1224no—
692C2×C4—1224no—
693C2×C4—1222no—
694C2×C4—1221no—
695C2×C4—4884no—
696C2×C4—2442no—
697C2×C4—2441no—
698C2×C4—2441no—
699C2×C4—2442no—
700C2×C4—2442no—
701C2×C4—2444no—
702C2×C4—2442no—
703C2×C4—2442no—
704C2×C4—2444no—
705C2×C4—2442no—
706C2×C4—2442no—
707C2×C4—2442no—
708C2×C4C2×C22⋊#692314yes—
709C2×C4C2×C22⋊#692311yescharacteristic
710C2×C4D4×#692312yes—
711C2×C4D4×#692312yes—
712C2×C4C23×#692311yescharacteristic
713C8—2442no—
714C8—2442no—
715C22—22no—
716C22—41no—
717C22—42no—
718C22—611no—
719C22—611no—
720C22—612no—
721C22—612no—
722C22—612no—
723C22—1222no—
724C22—1224no—
725C22—1222no—
726C22—1222no—
727C22—4881no—
728C22—4882no—
729C22—4881no—
730C22—2441no—
731C22—2442no—
732C22#1684071412yes—
733C22C22×C22⋊#692311yescharacteristic
734C4—24no—
735C4—41no—
736C4—42no—
737C4—611no—
738C4—611no—
739C4—612no—
740C4—1224no—
741C4—2444no—
742C4—2444no—
743C4—2441no—
744C4—2442no—
745C4#1684071412yes—
746C4C2×D4×#692311yescharacteristic
747C4C2×D4×#692311yescharacteristic
748C2—22no—
749C2—81no—
750C2—611no—
751C2—612no—
752C2—611no—
753C2—1222no—
754C2—4881no—
755C2C2×#1684071411yescharacteristic
756C2#2146244112yes—
subgroupG/H
centerC22C22×C22⋊#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#536C4
socleC22×C61C22×C22⋊C4
prime radicalC2×#41×D61C22
cosocleC2×C4×D61C24
hypercenter#536#6923
hypocenterC61#21262
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #536

Complements

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

NH ≅ G/Ntype
1. D61⋊#424C2semidirect
3. C2×#16840755C2semidirect
5. C22×#14519840C2semidirect
6. #21462256C2semidirect
7. #21461987C2semidirect
8. #21461985C2semidirect
32. #16840338C4semidirect
33. #16840337C4semidirect
34. #16840336C4semidirect
37. #16840333C4semidirect
38. #16840332C4semidirect
44. C61×#536C4semidirect
100. #14519777C2×C4semidirect
102. #14519775C2×C4semidirect
103. #14519775C2×C4semidirect
104. #14519766C2×C4semidirect
105. #14519765C2×C4semidirect
106. #14519764C2×C4semidirect
129. C4⋊Q8×C61C2×C4semidirect
130. #124×C61C2×C4semidirect
399. #536#6923semidirect
423. C61#21262semidirect
466. C4⋊Q8C2×#6923semidirect
471. #124C2×#6923semidirect

Maximal subgroups

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

subgroupindex
D61⋊#4242
C2×#168407532
C2×#168407552
C2×#168407522
C22×#145198402
#214622562
#214619872
#214619852
#536×D612
#2126261