Finite Group Databasebeta

← #30616327

Subgroups — #30616327

Order 15616.

1562 conjugacy classes of subgroups.

The subgroup lattice has 754 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840759C211yesmaximal, characteristic, complemented
2C2×#16840760C211yesmaximal, characteristic, complemented
3C2×D61⋊#104C211yesmaximal, characteristic, complemented
4C22×#14519841C211yesmaximal, characteristic, complemented
5#21462384C211yesmaximal, characteristic, complemented
6#21462279C211yesmaximal, characteristic, complemented
7#21461984C214yesmaximal, complemented
8#21461983C214yesmaximal, complemented
9#21459150C211yesmaximal, characteristic
10C22×#11758213C2211yescharacteristic
11C2×D61⋊M16C2211yescharacteristic
12C2×#14519856C2211yescharacteristic
13C22×C4×#6923C2211yescharacteristic
14#16840760—24no—
15#16840759—24no—
16C2×#14519842C2212yescomplemented
17C2×#14519842C2212yescomplemented
18D61⋊#104—24no—
19C2×#14519841—24no—
20C2×#14519841C2214yescomplemented
21C2×#14519841C2212yescomplemented
22C2×#14519841C2214yescomplemented
23C2×#14519841C2212yescomplemented
24#16840727—22no—
25#16840726—22no—
26C4×#11758213C2214yescomplemented
27#16840713—22no—
28#16840709—22no—
29C4×C4⋊#6923C2214yescomplemented
30C22×#11758224C2211yescharacteristic
31C2×#41×D61C2211yescharacteristic
32#16840341—22no—
33#16840338C411yescharacteristic, complemented
34#16840333C411yescharacteristic, complemented
35#16840332C412yescomplemented
36#16840329C411yescharacteristic, complemented
37#16840325C412yescomplemented
38#16840322—22no—
39#16840311C2212yes—
40#16840310C2212yes—
41#16840272—22no—
42#16840268—22no—
43#117×D61C2211yescharacteristic
44C61×#535C411yescharacteristic, complemented
45C23×#6923—21no—
46C2×#11758213—21no—
47C2×#11758213—22no—
48C2×#11758213D414yescomplemented
49C2×#11758213C2312yes—
50C2×#11758213C2312yes—
51D61⋊M16—22no—
52D61⋊M16D414yescomplemented
53C2×#11758217—21no—
54C2×D61⋊C8—21no—
55C22×#92420—21no—
56#14519856—22no—
57#14519856—22no—
58C2×C4⋊#6923—24no—
59C2×C4⋊#6923—21no—
60C2×C22⋊#6923—21no—
61C2×C4×#6923—22no—
62C2×C4×#6923—22no—
63C2×C4×#6923—21no—
64C2×C4×#6923C2312yes—
65C2×C4×#6923C2312yes—
66#14519842—24no—
67#14519842—24no—
68#14519841—28no—
69#14519841—24no—
70#14519841—24no—
71#14519841—28no—
72#14519832—24no—
73C4×#92420—24no—
74(C2×#6923)⋊C4—24no—
75C2×#11758226C2311yescharacteristic
76C2×#11758222—21no—
77C2×#11758222C2×C411yescharacteristic
78C2×#11758224—21no—
79C2×#11758224—22no—
80C2×#11758224—22no—
81C2×#11758224—21no—
82C2×#11758224—21no—
83C2×#11758224—22no—
84C2×#11758224—22no—
85C2×#11758224C2×C412yes—
86C2×#11758224C2311yescharacteristic
87C2×#11758224C2312yes—
88#41×D61—22no—
89#41×D61—22no—
90#41×D61—22no—
91#41×D61—22no—
92C22×Dic122C2×C411yescharacteristic
93C2×Q8×D61C2×C411yescharacteristic
94C22×C22⋊D61—21no—
95C2×D4×D61—21no—
96C2×D4×D61C2×C411yescharacteristic
97C23×Dic61—21no—
98C22×C4×D61—21no—
99C22×C4×D61C2311yescharacteristic
100#14519777C2×C412yescomplemented
101#14519775C2×C412yescomplemented
102#14519773C2×C412yescomplemented
103#14519765C2×C412yescomplemented
104#14519764C2×C412yescomplemented
105#14519764C2×C412yescomplemented
106#14519761—22no—
107#14519759—24no—
108#14519758—22no—
109#14519757—22no—
110#14519756—22no—
111#14519754—24no—
112#14519750—24no—
113#14519749—24no—
114#14519748—24no—
115#14519748—22no—
116#14519746—22no—
117#14519745—24no—
118D4×Dic61—24no—
119#14519737—24no—
120#14519736C2×C411yescharacteristic
121#14519735D412yes—
122#14519734C2×C412yes—
123#14519733D412yes—
124C4⋊C4×D61D412yes—
125C22⋊C4×D61D412yes—
126C42×D61C2312yes—
127C2×#41×C61C2×C411yescharacteristic
128C22×D4×C61C2×C411yescharacteristic
129#127×C61C2×C412yescomplemented
130#124×C61C2×C412yescomplemented
131#121×C61—22no—
132#120×C61—22no—
133#117×C61C2×C411yescharacteristic
134C24×C61—21no—
135C23×D61—21no—
136C23×D61C2×D411yescharacteristic
137C22×#6923—22no—
138C22×#6923—22no—
139C22×#6923—44no—
140C22×#6923—42no—
141#41×C61—22no—
142#41×C61—22no—
143C2×Q8×C61C22×C411yescharacteristic
144C2×D4×C61—21no—
145C2×D4×C61—21no—
146C2×D4×C61—24no—
147C2×D4×C61—22no—
148C2×D4×C61—22no—
149C2×D4×C61C22×C411yescharacteristic
150C2×D4×C61C22×C412yes—
151C22×C4×C61—21no—
152C22×C4×C61C22×C411yescharacteristic
153C2×C22⋊D61—21no—
154C2×C22⋊D61—22no—
155C2×C22⋊D61—21no—
156C2×C22⋊D61—22no—
157C2×C22⋊D61—21no—
158C2×C22⋊D61—24no—
159C2×C22⋊D61—42no—
160C2×C22⋊D61—42no—
161C22×Dic61—21no—
162C22×Dic61—22no—
163C22×Dic61—21no—
164C22×Dic61—22no—
165C22×Dic61—42no—
166C22×Dic61—42no—
167C22×Dic61C2×D411yescharacteristic
168#11758226—21no—
169#11758226—21no—
170#11758226—21no—
171#11758226—21no—
172Q8×D61—22no—
173Q8×D61—22no—
174#11758224—24no—
175#11758224—24no—
176#11758224—21no—
177#11758224—21no—
178#11758224—22no—
179#11758224—22no—
180#11758224—21no—
181#11758224—21no—
182#11758224—22no—
183#11758224—22no—
184#11758224—42no—
185#11758224—42no—
186#11758224—42no—
187#11758224—42no—
188#11758224—42no—
189#11758224—42no—
190D4×D61—22no—
191D4×D61—22no—
192D4×D61—42no—
193D4×D61—42no—
194#11758222—22no—
195#11758222—22no—
196#11758222—42no—
197#11758222—42no—
198C2×D244—21no—
199C2×D244C22×C411yescharacteristic
200C2×C4×D61—21no—
201C2×C4×D61—21no—
202C2×C4×D61—21no—
203C2×C4×D61—42no—
204C2×C4×D61—42no—
205C2×C4×D61C22×C411yescharacteristic
206C2×C4×D61C2×D414yes—
207C2×C4×D61C2×D412yes—
208C2×C4×D61C2×D412yes—
209C2×C4×D61C2×D411yescharacteristic
210C2×C4×D61C2×D411yescharacteristic
211C2×C4×D61#4112yes—
212C2×C4×D61#4112yes—
213C2×C4×D61C2411yescharacteristic
214C2×Dic122—22no—
215C2×Dic122—22no—
216C2×Dic122—21no—
217C2×Dic122—21no—
218C2×Dic122C22×C411yescharacteristic
219C2×Dic122C22×C412yes—
220C22⋊#6923—42no—
221#11758217—24no—
222C2×#92420—24no—
223C2×#92420—22no—
224C2×#92420—22no—
225C4⋊#6923—48no—
226C4⋊#6923—42no—
227C4×#6923—22no—
228C4×#6923—22no—
229C4×#6923—22no—
230C4×#6923—22no—
231C4×#6923—42no—
232#11758213—24no—
233#11758213—22no—
234#11758213—22no—
235#11758213C2×D414yes—
236#11758213C2×D414yes—
237D61⋊C8—24no—
238C4⋊C4×C61C22⋊C412yes—
239C22⋊C4×C61—24no—
240C22⋊C4×C61C22⋊C412yes—
241C42×C61C22×C412yes—
242C22⋊Dic61—24no—
243C22⋊Dic61—24no—
244C22⋊Dic61C22⋊C412yes—
245#11758198—24no—
246#11758198C22⋊C414yes—
247C4⋊Dic61—24no—
248C4⋊Dic61C22⋊C412yes—
249#11758196—24no—
250#11758196C22⋊C414yes—
251C4×Dic61C22×C412yes—
252C4×Dic61C2×D414yes—
253C23×C61—21no—
254C23×C61—22no—
255C23×C61—42no—
256C23×C61—82no—
257C23×C61C2×C22⋊C411yescharacteristic
258C22×D61—21no—
259C22×D61—42no—
260C22×D61—42no—
261C22×D61—82no—
262C22×D61C2×C22⋊C411yescharacteristic
263C22×D61#12412yes—
264C22×D61#12712yes—
265C22×D61C22×D411yescharacteristic
266C2×#6923—24no—
267C2×#6923—42no—
268C2×#6923—48no—
269C2×#6923—42no—
270C2×#6923—44no—
271C2×#6923—42no—
272Q8×C61—21no—
273Q8×C61—21no—
274D4×C61—21no—
275D4×C61—21no—
276D4×C61—22no—
277D4×C61—22no—
278D4×C61—42no—
279D4×C61—42no—
280D4×C61—84no—
281C2×C4×C61—21no—
282C2×C4×C61—42no—
283C2×C4×C61C2×C22⋊C414yes—
284C2×C4×C61C2×C22⋊C411yescharacteristic
285C2×C4×C61C4×D412yes—
286C2×C4×C61C4×D412yes—
287C2×C4×C61C23×C411yescharacteristic
288C22⋊D61—42no—
289C22⋊D61—41no—
290C22⋊D61—42no—
291C22⋊D61—41no—
292C22⋊D61—42no—
293C22⋊D61—44no—
294C22⋊D61—42no—
295C22⋊D61—84no—
296C2×Dic61—22no—
297C2×Dic61—21no—
298C2×Dic61—42no—
299C2×Dic61—41no—
300C2×Dic61—41no—
301C2×Dic61—42no—
302C2×Dic61—42no—
303C2×Dic61—44no—
304C2×Dic61C2×C22⋊C414yes—
305C2×Dic61C2×C22⋊C411yescharacteristic
306C2×Dic61#12112yes—
307C2×Dic61#12112yes—
308C2×Dic61C22×D411yescharacteristic
309D244—21no—
310D244—21no—
311D244—41no—
312D244—41no—
313C4×D61—44no—
314C4×D61—42no—
315C4×D61—42no—
316C4×D61—41no—
317C4×D61—41no—
318C4×D61C4×D412yes—
319C4×D61C4×D412yes—
320C4×D61#12112yes—
321C4×D61#12112yes—
322C4×D61#12412yes—
323C4×D61#12712yes—
324C4×D61C22×D411yescharacteristic
325C4×D61C22×D411yescharacteristic
326C4×D61C2×#4111yescharacteristic
327C4×D61C2×#4111yescharacteristic
328Dic122—22no—
329Dic122—22no—
330Dic122—21no—
331Dic122—21no—
332Dic122—42no—
333Dic122—42no—
334#92420—24no—
335#92420—24no—
336#21253—611nomaximal, Sylow
337C22×C61—22no—
338C22×C61—44no—
339C22×C61—42no—
340C22×C61—42no—
341C22×C61—41no—
342C22×C61—84no—
343C22×C61#39012yes—
344C22×C61C22×C22⋊C411yescharacteristic
345C2×D61—22no—
346C2×D61—22no—
347C2×D61—42no—
348C2×D61—42no—
349C2×D61—42no—
350C2×D61—41no—
351C2×D61—84no—
352C2×D61#39012yes—
353C2×D61C2×#12411yescharacteristic
354C2×D61C2×#12711yescharacteristic
355#6923—44no—
356#6923—82no—
357C4×C61—24no—
358C4×C61—41no—
359C4×C61#39012yes—
360C4×C61C2×C4×D411yescharacteristic
361C4×C61C2×C4×D411yescharacteristic
362Dic61—24no—
363Dic61—41no—
364Dic61—42no—
365Dic61#39012yes—
366Dic61C2×#12111yescharacteristic
367Dic61C2×#12111yescharacteristic
368#3449—611no—
369C2×#421—611no—
370C2×#421—611no—
371C22×#104—611no—
372C22×#104—611no—
373#2873—611no—
374#2296—611no—
375#1980—614no—
376#1980—614no—
377C2×C61—22no—
378C2×C61—81no—
379C2×C61—82no—
380C2×C61C2×#39011yescharacteristic
381C2×C61#290112yes—
382D61—21no—
383D61—22no—
384D61—21no—
385D61—81no—
386C22×#41—611no—
387C22×#41—611no—
388C22×M16—611no—
389C22×M16—611no—
390#537—1222no—
391#536—611no—
392#536—612no—
393#536—611no—
394#535—611no—
395#535—612no—
396#535#692311yescharacteristic, complemented
397#534—1222no—
398#532—612no—
399#532—612no—
400#525—1222no—
401#525—1222no—
402C2×#117—611no—
403C2×#117—611no—
404C22×C42—611no—
405#421—1224no—
406#421—1224no—
407C2×#104—614no—
408C2×#104—612no—
409C2×#104—614no—
410C2×#104—612no—
411C2×#104—612no—
412C2×#104—612no—
413C2×#104—1224no—
414C2×#104—1224no—
415#405—1222no—
416#405—1222no—
417C4×M16—614no—
418#389—1222no—
419#385—1222no—
420C4×C4⋊C4—614no—
421C61#2125311yescharacteristic, complemented, Sylow
422C2×#41—611no—
423C2×#41—612no—
424C2×#41—611no—
425C2×#41—612no—
426C2×#41—611no—
427C2×#41—1221no—
428C2×#41—1221no—
429C2×#41—1221no—
430C2×#41—1221no—
431C2×#41—1222no—
432C2×#41—1222no—
433C2×#41—1222no—
434C2×#41—1222no—
435C2×#41—1222no—
436C2×#41—1222no—
437C2×#41—1222no—
438C2×#41—1222no—
439C2×#41C2×#692311yescharacteristic
440C22×Q8—611no—
441C22×Q8—611no—
442C22×D4—611no—
443C22×D4—1221no—
444C22×D4—1221no—
445C22×D4C2×#692311yescharacteristic
446C23×C4—611no—
447C23×C4—1221no—
448C23×C4—1221no—
449C23×C4—1221no—
450C2×M16—614no—
451C2×M16—614no—
452C2×M16—612no—
453C2×M16—612no—
454C2×M16—1221no—
455C2×M16—1222no—
456C2×M16—1222no—
457C2×M16—1221no—
458C22×C8—1221no—
459C22×C8—1221no—
460C4⋊Q8—612no—
461C4⋊Q8—612no—
462#127—612no—
463#127C2×#692312yescomplemented
464#124—612no—
465#124—612no—
466#124—612no—
467#124C2×#692312yescomplemented
468#123—1224no—
469#123—1222no—
470#123—1222no—
471C22⋊Q8—1224no—
472C22⋊Q8—1222no—
473C22⋊Q8—1222no—
474#121—22no—
475#121—1224no—
476#121—1222no—
477#121—1224no—
478#121—1224no—
479#120—22no—
480#120—1224no—
481#120—1222no—
482C4×D4—1224no—
483C4×D4—1224no—
484#117—611no—
485#117—612no—
486#117—612no—
487#117—612no—
488#117—1222no—
489#117—1222no—
490#117C2×#692311yescharacteristic
491C2×C4⋊C4—612no—
492C2×C4⋊C4—1221no—
493C2×C4⋊C4—1224no—
494C2×C22⋊C4—612no—
495C2×C22⋊C4—1221no—
496C2×C42—612no—
497C2×C42—612no—
498C2×C42—612no—
499C2×C42—1222no—
500C2×C42—1222no—
501C2×C42—1221no—
502#104—1228no—
503#104—1224no—
504#104—1224no—
505#104—1228no—
506#104—1224no—
507#104—1224no—
508#97—1224no—
509C4×C8—1224no—
510#95—1224no—
511C24—21no—
512C24—611no—
513C24—1221no—
514#41—22no—
515#41—22no—
516#41—1222no—
517#41—1222no—
518#41—1221no—
519#41—1221no—
520#41—1224no—
521#41—1224no—
522#41—1222no—
523#41—1222no—
524#41—1221no—
525#41—1221no—
526#41—1221no—
527#41—1221no—
528#41—1221no—
529#41—1221no—
530#41—1222no—
531#41—1222no—
532#41—2442no—
533#41—2442no—
534#41—2442no—
535#41—2442no—
536#41—2442no—
537#41—2442no—
538#41—2442no—
539#41—2442no—
540C2×Q8—611no—
541C2×Q8—612no—
542C2×Q8—1221no—
543C2×Q8—1222no—
544C2×Q8—1222no—
545C2×Q8—1221no—
546C2×Q8—1222no—
547C2×Q8—1222no—
548C2×Q8C22×#692311yescharacteristic
549C2×D4—21no—
550C2×D4—21no—
551C2×D4—24no—
552C2×D4—22no—
553C2×D4—22no—
554C2×D4—611no—
555C2×D4—1221no—
556C2×D4—1222no—
557C2×D4—1222no—
558C2×D4—1224no—
559C2×D4—1221no—
560C2×D4—1222no—
561C2×D4—1222no—
562C2×D4—1221no—
563C2×D4—1221no—
564C2×D4—2442no—
565C2×D4—2442no—
566C2×D4—2442no—
567C2×D4—2442no—
568C2×D4C22×#692311yescharacteristic
569C2×D4C22×#692312yes—
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—1221no—
583C22×C4—1222no—
584C22×C4—1221no—
585C22×C4—1222no—
586C22×C4—1222no—
587C22×C4—1221no—
588C22×C4—1221no—
589C22×C4—1222no—
590C22×C4—2442no—
591C22×C4—2442no—
592C22×C4—2442no—
593C22×C4—2442no—
594C22×C4—2444no—
595C22×C4—2442no—
596C22×C4C22×#692311yescharacteristic
597M16—614no—
598M16—614no—
599M16—1224no—
600M16—1222no—
601M16—1222no—
602M16—1224no—
603C2×C8—1222no—
604C2×C8—1222no—
605C2×C8—1224no—
606C2×C8—1224no—
607C4⋊C4—614no—
608C4⋊C4—612no—
609C4⋊C4—1224no—
610C4⋊C4—1224no—
611C4⋊C4—2442no—
612C4⋊C4—2448no—
613C4⋊C4C22⋊#692312yes—
614C22⋊C4—24no—
615C22⋊C4—612no—
616C22⋊C4—614no—
617C22⋊C4—1224no—
618C22⋊C4—1224no—
619C22⋊C4—1224no—
620C22⋊C4—2442no—
621C22⋊C4C22⋊#692312yes—
622C42—614no—
623C42—612no—
624C42—1222no—
625C42—1222no—
626C42—1222no—
627C42—1222no—
628C42—2442no—
629C42C22×#692312yes—
630C23—22no—
631C23—21no—
632C23—42no—
633C23—82no—
634C23—611no—
635C23—611no—
636C23—612no—
637C23—612no—
638C23—1221no—
639C23—4882no—
640C23—2442no—
641C23—2442no—
642C23C2×C22⋊#692311yescharacteristic
643Q8—21no—
644Q8—21no—
645Q8—1222no—
646Q8—1222no—
647Q8—1221no—
648Q8—1221no—
649Q8—2442no—
650Q8—2442no—
651D4—22no—
652D4—22no—
653D4—21no—
654D4—21no—
655D4—42no—
656D4—42no—
657D4—84no—
658D4—1221no—
659D4—1221no—
660D4—4884no—
661D4—2441no—
662D4—2441no—
663D4—2442no—
664D4—2441no—
665D4—2441no—
666D4—2442no—
667D4—2444no—
668D4—2442no—
669D4—2442no—
670C2×C4—21no—
671C2×C4—42no—
672C2×C4—612no—
673C2×C4—612no—
674C2×C4—611no—
675C2×C4—611no—
676C2×C4—612no—
677C2×C4—612no—
678C2×C4—612no—
679C2×C4—612no—
680C2×C4—612no—
681C2×C4—612no—
682C2×C4—611no—
683C2×C4—611no—
684C2×C4—611no—
685C2×C4—611no—
686C2×C4—614no—
687C2×C4—1224no—
688C2×C4—1222no—
689C2×C4—1221no—
690C2×C4—2444no—
691C2×C4—2441no—
692C2×C4—2441no—
693C2×C4—2442no—
694C2×C4—2441no—
695C2×C4—2441no—
696C2×C4—2442no—
697C2×C4—2442no—
698C2×C4—2444no—
699C2×C4—2442no—
700C2×C4—2444no—
701C2×C4—2442no—
702C2×C4—2442no—
703C2×C4—2448no—
704C2×C4—2442no—
705C2×C4—2442no—
706C2×C4C2×C22⋊#692314yes—
707C2×C4C2×C22⋊#692311yescharacteristic
708C2×C4D4×#692312yes—
709C2×C4D4×#692312yes—
710C2×C4C23×#692311yescharacteristic
711C8—1224no—
712C8—1224no—
713C22—22no—
714C22—41no—
715C22—42no—
716C22—42no—
717C22—44no—
718C22—84no—
719C22—611no—
720C22—612no—
721C22—611no—
722C22—1222no—
723C22—1222no—
724C22—4884no—
725C22—2442no—
726C22—2442no—
727C22—2441no—
728C22—2442no—
729C22#1684071412yes—
730C22C22×C22⋊#692311yescharacteristic
731C4—24no—
732C4—41no—
733C4—611no—
734C4—611no—
735C4—612no—
736C4—1224no—
737C4—4882no—
738C4—2444no—
739C4—2441no—
740C4—2442no—
741C4#1684071412yes—
742C4C2×D4×#692311yescharacteristic
743C4C2×D4×#692311yescharacteristic
744C2—22no—
745C2—82no—
746C2—81no—
747C2—1221no—
748C2—1222no—
749C2—1221no—
750C2—4881no—
751C2C2×#1684071411yescharacteristic
752C2#2146244912yes—
subgroupG/H
centerC22C22×C22⋊#6923
commutatorC2×C4×C61C23×C4
FrattiniC2×C4C23×#6923
FittingC61×#535C4
socleC22×C61C22×C22⋊C4
prime radical#21459150C2
cosocleC2×C4×D61C24
hypercenter#535#6923
hypocenterC61#21253
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ #117 ◁ #535

Complements

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

NH ≅ G/Ntype
1. C2×#16840759C2semidirect
2. C2×#16840760C2semidirect
3. C2×D61⋊#104C2semidirect
4. C22×#14519841C2semidirect
5. #21462384C2semidirect
6. #21462279C2semidirect
7. #21461984C2semidirect
8. #21461983C2semidirect
16. C2×#14519842C22semidirect
17. C2×#14519842C22semidirect
20. C2×#14519841C22semidirect
21. C2×#14519841C22semidirect
22. C2×#14519841C22semidirect
23. C2×#14519841C22semidirect
26. C4×#11758213C22semidirect
29. C4×C4⋊#6923C22semidirect
33. #16840338C4semidirect
34. #16840333C4semidirect
35. #16840332C4semidirect
36. #16840329C4semidirect
37. #16840325C4semidirect
44. C61×#535C4semidirect
48. C2×#11758213D4semidirect
52. D61⋊M16D4semidirect
100. #14519777C2×C4semidirect
101. #14519775C2×C4semidirect
102. #14519773C2×C4semidirect
103. #14519765C2×C4semidirect
104. #14519764C2×C4semidirect
105. #14519764C2×C4semidirect
129. #127×C61C2×C4semidirect
130. #124×C61C2×C4semidirect
396. #535#6923semidirect
421. C61#21253semidirect
463. #127C2×#6923semidirect
467. #124C2×#6923semidirect

Maximal subgroups

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

subgroupindex
C2×#168407592
C2×#168407602
C2×D61⋊#1042
C22×#145198412
#214623842
#214622792
#214619842
#214619832
#214591502
#2125361