Finite Group Databasebeta

← #12979536

Subgroups — #12979536

Order 1280.

1724 conjugacy classes of subgroups.

The subgroup lattice has 772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C5×#3509C211yesmaximal, characteristic
2#10618159C211yesmaximal, characteristic, complemented
3#10615430C214yesmaximal, complemented
4#10615430C212yesmaximal, complemented
5#10615427C212yesmaximal, complemented
6#10615409C214yesmaximal, complemented
7#10615408C212yesmaximal, complemented
8#10615407C212yesmaximal, complemented
9#10615143C212yesmaximal
10#10615132C212yesmaximal
11#10615061C211yesmaximal, characteristic, complemented
12C2×#65379C211yesmaximal, characteristic, complemented
13#10614929C211yesmaximal, characteristic, complemented
14#10614281C212yesmaximal, complemented
15#10614280C212yesmaximal, complemented
16C4×#4097C211yesmaximal, characteristic
17#10614238C211yesmaximal, characteristic
18C5×#557C2212yes—
19C5×#557C2212yes—
20C5×#556C2212yes—
21C5×#556C2212yes—
22C5×#552—22no—
23C5×#552—22no—
24C5×#541—22no—
25C5×#536C2212yes—
26C5×#533—21no—
27C5×#533—21no—
28C5×#533C2211yescharacteristic
29C2×C5×C4⋊Q8C2211yescharacteristic
30C5×#519C2212yes—
31C4×C5×#41C2211yescharacteristic
32C2×#4097C2211yescharacteristic
33C22×#689C2212yes—
34#66056—21no—
35#66055—21no—
36#66019—22no—
37#65957—22no—
38#65956—22no—
39#65901C2212yes—
40#65901C2214yes—
41Q8×Dic10C2212yes—
42#65853C2212yes—
43#65850C2212yes—
44#65804C2211yescharacteristic
45C2×C4×Dic10C2211yescharacteristic
46#65522C2212yes—
47#65521C2211yescharacteristic
48#65514C2212yes—
49#65514C2212yes—
50C2×#3967C2212yes—
51#65379C2214yes—
52#65379C2214yes—
53#65379C2212yes—
54#65379C2212yes—
55#65379C2214yes—
56#65371C2214yes—
57#65371C2214yes—
58#65370C2214yes—
59#65370C2212yes—
60#65370C2212yes—
61#65345C2214yes—
62#65344C2214yes—
63#65343C2214yes—
64#65343C2214yes—
65#65319C2214yes—
66#65319C2214yes—
67#65319C2212yes—
68C4×#689C2214yes—
69C4×#689C2214yes—
70C4×#689C2212yes—
71#65313C2212yes—
72#65313C2214yes—
73Q8×#168C2212yes—
74#65311C2214yes—
75#65311C2214yes—
76#65311C2212yes—
77#65310C2214yes—
78#65310C2211yescharacteristic
79#65309C2214yes—
80#65309C2211yescharacteristic
81#65307C2212yes—
82C4×#687C2212yes—
83#65298C2212yes—
84#65297C2211yescharacteristic
85#65296C2211yescharacteristic
86#65293C2211yescharacteristic
87#65288C2212yes—
88#65287C2212yes—
89#65286C2212yes—
90#65284C2211yescharacteristic
91C2×C4⋊#168C2211yescharacteristic
92C4×#681C2211yescharacteristic
93#61342—51nomaximal, Sylow
94C2×C5×#41C2311yescharacteristic
95C22×C5×Q8C2312yes—
96C22×Dic10C2311yescharacteristic
97C5×C4⋊Q8—21no—
98C5×C4⋊Q8—21no—
99C5×C4⋊Q8D411yescharacteristic
100C5×C4⋊Q8D411yescharacteristic
101C5×C4⋊Q8C2312yes—
102C5×C4⋊Q8C2314yes—
103C5×C4⋊Q8C2312yes—
104C5×#126—24no—
105C5×#126—24no—
106C5×#125—22no—
107C5×#125—22no—
108C5×#125—24no—
109C5×#125—24no—
110C5×#125D412yes—
111C5×#124C2314yes—
112C5×#123—24no—
113C5×C22⋊Q8—22no—
114C5×C22⋊Q8—22no—
115C5×C22⋊Q8—22no—
116C5×C22⋊Q8—22no—
117C5×C22⋊Q8D412yes—
118C5×C22⋊Q8D412yes—
119C4×C5×Q8—22no—
120C4×C5×Q8—22no—
121C4×C5×Q8—22no—
122C4×C5×Q8—22no—
123C4×C5×Q8C2311yescharacteristic
124C4×C5×Q8C2314yes—
125C4×C5×Q8C2314yes—
126C4×C5×Q8C2311yescharacteristic
127C4×C5×Q8C2312yes—
128C4×C5×Q8C2312yes—
129C4×C5×D4—21no—
130C4×C5×D4—21no—
131C4×C5×D4C2311yescharacteristic
132C4×C5×D4C2311yescharacteristic
133C5×#117—22no—
134C5×#117—22no—
135C5×#117—24no—
136C5×#117—21no—
137C5×#117C2311yescharacteristic
138C5×#117C2312yes—
139C2×C5×C4⋊C4—21no—
140C2×C5×C4⋊C4—21no—
141C2×C42×C5—21no—
142C2×C42×C5C2311yescharacteristic
143#4097—24no—
144Q8×Dic5—22no—
145#4090—22no—
146#4090—24no—
147C2×#689—28no—
148C2×#689C2314yes—
149C2×#689C2312yes—
150C2×#689C2314yes—
151C2×#687C2312yes—
152#4072C2312yes—
153C2×C4⋊Dic5C2311yescharacteristic
154#4070—21no—
155#4070—21no—
156C2×#683—21no—
157C2×C4×Dic5—21no—
158C2×#681C2311yescharacteristic
159C2×#681C2311yescharacteristic
160C22×#168C2312yes—
161#4036—22no—
162#4035—24no—
163#4035—24no—
164#4035—24no—
165#4034—22no—
166#4034—22no—
167#4034—24no—
168#4033—22no—
169#4033—22no—
170#4033—22no—
171#4033—24no—
172#4024—24no—
173#4023—24no—
174#4016C2312yes—
175#4016C2314yes—
176#4015C2311yescharacteristic
177#4015C2311yescharacteristic
178#4015C2314yes—
179C4×Dic10—21no—
180C4×Dic10—21no—
181C4×Dic10—21no—
182C4×Dic10—21no—
183C4×Dic10C2312yes—
184C4×Dic10C2312yes—
185C4×Dic10C2314yes—
186C4×Dic10C2314yes—
187#3967C2314yes—
188#3967C2314yes—
189#3967C2312yes—
190#3967C2314yes—
191#3967C2312yes—
192#3967C2314yes—
193#3967C2314yes—
194#3967C2314yes—
195#3967C2312yes—
196#3964C2312yes—
197#3964C2312yes—
198#3964C2312yes—
199#3942C2312yes—
200#3942C2312yes—
201#3940C2312yes—
202#3940C2312yes—
203#3940C2312yes—
204#3939C2312yes—
205#3939C2312yes—
206#3939C2312yes—
207C4⋊#168C2314yes—
208C4⋊#168C2314yes—
209C4⋊#168C2311yescharacteristic
210C4⋊#168C2311yescharacteristic
211C4⋊#168C2312yes—
212#3935C2314yes—
213#3935C2312yes—
214C4×#168C2314yes—
215C4×#168C2312yes—
216#3509D511yescharacteristic
217#3502—51no—
218#3377—54no—
219#3374—52no—
220#3374—54no—
221#3369—52no—
222#3364—52no—
223#3363—52no—
224#3139—51no—
225#3137—52no—
226#3082—52no—
227#3076—51no—
228#3044—52no—
229C2×#462—51no—
230#2962—51no—
231#2950—52no—
232C4×#137—51no—
233C5×#41—22no—
234C5×#41—22no—
235C2×C5×Q8—22no—
236C2×C5×Q8—24no—
237C2×C5×Q8—24no—
238C2×C5×Q8C2×D412yes—
239C2×C5×Q8C2×D412yes—
240C2×C5×Q8C2414yes—
241C2×C5×Q8C2411yescharacteristic
242C2×C5×D4—21no—
243C2×C5×D4C2411yescharacteristic
244C22×C4×C5—22no—
245C22×C4×C5—21no—
246C22×C4×C5—21no—
247C22×C4×C5—21no—
248C22×C4×C5C2×D411yescharacteristic
249C22×C4×C5C2×D411yescharacteristic
250C22×C4×C5C2411yescharacteristic
251C22×Dic5—21no—
252C22×Dic5—21no—
253C2×Dic10—21no—
254C2×Dic10—22no—
255C2×Dic10—21no—
256C2×Dic10—21no—
257C2×Dic10—24no—
258C2×Dic10#4114yes—
259C2×Dic10C2412yes—
260C5×C4⋊C4—22no—
261C5×C4⋊C4—22no—
262C5×C4⋊C4—22no—
263C5×C4⋊C4—22no—
264C5×C4⋊C4—21no—
265C5×C4⋊C4—21no—
266C5×C4⋊C4—24no—
267C5×C4⋊C4—24no—
268C5×C4⋊C4—24no—
269C5×C4⋊C4—24no—
270C5×C4⋊C4C2×D412yes—
271C5×C4⋊C4C2×D412yes—
272C5×C4⋊C4C2×D412yes—
273C5×C4⋊C4C2×D412yes—
274C5×C4⋊C4C2×D414yes—
275C5×C4⋊C4C2×D414yes—
276C5×C4⋊C4C2411yescharacteristic
277C5×C4⋊C4C2411yescharacteristic
278C5×C22⋊C4—21no—
279C5×C22⋊C4—21no—
280C5×C22⋊C4—21no—
281C5×C22⋊C4—24no—
282C5×C22⋊C4—24no—
283C5×C22⋊C4C2×D414yes—
284C42×C5—21no—
285C42×C5—21no—
286C42×C5—21no—
287C42×C5—24no—
288C42×C5—24no—
289C42×C5C2×D411yescharacteristic
290C42×C5C2×D411yescharacteristic
291C42×C5C2411yescharacteristic
292C42×C5C2411yescharacteristic
293C42×C5C2414yes—
294C22⋊Dic5—22no—
295#689—24no—
296#689—28no—
297#689—28no—
298#687—24no—
299C4⋊Dic5—21no—
300C4⋊Dic5—21no—
301C4⋊Dic5—21no—
302C4⋊Dic5—24no—
303C4⋊Dic5C2412yes—
304C4⋊Dic5C2412yes—
305C4⋊Dic5C2412yes—
306#683—22no—
307#683—22no—
308#683—22no—
309#683—22no—
310#683—24no—
311#683—24no—
312#683—24no—
313#683—24no—
314C4×Dic5—22no—
315C4×Dic5—22no—
316C4×Dic5—22no—
317C4×Dic5—24no—
318C4×Dic5—24no—
319#681—22no—
320#681—22no—
321C2×#168—24no—
322C2×#168C2412yes—
323C2×#168C2412yes—
324C2×#168C2412yes—
325C2×#168C2412yes—
326C2×#137—51no—
327C22×Q16—52no—
328Q82—52no—
329Q82—101no—
330#557—52no—
331#557—54no—
332#557—101no—
333#557—102no—
334#557C2×D512yes—
335#557C2×D512yes—
336#556C2×D512yes—
337#556C2×D512yes—
338#552—22no—
339#552—22no—
340#544—52no—
341#544—102no—
342#541—22no—
343#536C2×D512yes—
344#533—21no—
345#533—21no—
346#533—51no—
347#533—102no—
348#533C2×D511yescharacteristic
349C2×C4⋊Q8C2×D511yescharacteristic
350#519—52no—
351#519C2×D512yes—
352C4×#41C2×D511yescharacteristic
353C2×C4×Q8—51no—
354#491—54no—
355#491—54no—
356#489—54no—
357#488—54no—
358#487—52no—
359#487—54no—
360#487—52no—
361#479—52no—
362#479—54no—
363#479—54no—
364#478—52no—
365#477—51no—
366#477—54no—
367#476—51no—
368#475—51no—
369#475—54no—
370#474—51no—
371#464—54no—
372#464—54no—
373#462—52no—
374#462—54no—
375#462—52no—
376#462—54no—
377#462—54no—
378#446—52no—
379#446—54no—
380C8×Q8—52no—
381#441—54no—
382#441—52no—
383#441—54no—
384#440—52no—
385C4×Q16—52no—
386C4×Q16—54no—
387C4×Q16—54no—
388C4×SD16—52no—
389#428—51no—
390#427—52no—
391#424—52no—
392C2×C4⋊C8—51no—
393#419—52no—
394#419—52no—
395#419—51no—
396#417—51no—
397#416—52no—
398C2×#103—52no—
399#405—52no—
400C4×M16—51no—
401C23×C5—21no—
402C23×C5C22×D411yescharacteristic
403C5×Q8—24no—
404C5×Q8—24no—
405C5×Q8—21no—
406C5×Q8—24no—
407C5×Q8—21no—
408C5×Q8—42no—
409C5×Q8—44no—
410C5×D4—21no—
411C5×D4—21no—
412C5×D4—42no—
413C2×C4×C5—22no—
414C2×C4×C5—21no—
415C2×C4×C5—21no—
416C2×C4×C5—24no—
417C2×C4×C5—21no—
418C2×C4×C5—41no—
419C2×C4×C5—42no—
420C2×C4×C5—44no—
421C2×C4×C5—42no—
422C2×C4×C5—42no—
423C2×C4×C5C22×D411yescharacteristic
424C2×C4×C5C22×D414yes—
425C2×C4×C5C22×D414yes—
426C2×C4×C5C22×D411yescharacteristic
427C2×C4×C5C22×D411yescharacteristic
428C2×C4×C5C22×D411yescharacteristic
429C2×C4×C5C22×D411yescharacteristic
430C2×C4×C5C2×#4112yes—
431C2×C4×C52−1+412yes—
432C2×C4×C5C2511yescharacteristic
433C2×Dic5—24no—
434C2×Dic5—22no—
435C2×Dic5—22no—
436C2×Dic5—22no—
437C2×Dic5—22no—
438C2×Dic5—81no—
439Dic10—24no—
440Dic10—22no—
441Dic10—42no—
442Dic10—81no—
443Dic10—84no—
444Dic10C2×#4114yes—
445#168—22no—
446#168—22no—
447#168—22no—
448#168—22no—
449C2×#41C22×D511yescharacteristic
450C22×Q8—51no—
451C22×Q8C22×D512yes—
452#137—104no—
453C2×Q16—54no—
454C2×Q16—54no—
455C2×Q16—52no—
456C2×Q16—108no—
457C2×SD16—52no—
458C2×M16—51no—
459C2×M16—51no—
460C22×C8—52no—
461C4⋊Q8—21no—
462C4⋊Q8—21no—
463C4⋊Q8—51no—
464C4⋊Q8—51no—
465C4⋊Q8—54no—
466C4⋊Q8—102no—
467C4⋊Q8—104no—
468C4⋊Q8—102no—
469C4⋊Q8—102no—
470C4⋊Q8—104no—
471C4⋊Q8C22⋊D511yescharacteristic
472C4⋊Q8C22⋊D511yescharacteristic
473C4⋊Q8C22×D512yes—
474C4⋊Q8C22×D512yes—
475C4⋊Q8C22×D514yes—
476#126—24no—
477#126—24no—
478#125—22no—
479#125—22no—
480#125—24no—
481#125—24no—
482#125—52no—
483#125—54no—
484#125—104no—
485#125—102no—
486#125—104no—
487#125—104no—
488#125C22⋊D512yes—
489#124C22×D514yes—
490#123—24no—
491C22⋊Q8—22no—
492C22⋊Q8—22no—
493C22⋊Q8—22no—
494C22⋊Q8—22no—
495C22⋊Q8—101no—
496C22⋊Q8—101no—
497C22⋊Q8—104no—
498C22⋊Q8C22⋊D512yes—
499C22⋊Q8C22⋊D512yes—
500C4×Q8—22no—
501C4×Q8—22no—
502C4×Q8—22no—
503C4×Q8—22no—
504C4×Q8—52no—
505C4×Q8—52no—
506C4×Q8—54no—
507C4×Q8—54no—
508C4×Q8—102no—
509C4×Q8—102no—
510C4×Q8—102no—
511C4×Q8—104no—
512C4×Q8—102no—
513C4×Q8—101no—
514C4×Q8—101no—
515C4×Q8—101no—
516C4×Q8—101no—
517C4×Q8C22×D511yescharacteristic
518C4×Q8C22×D511yescharacteristic
519C4×Q8C22×D514yes—
520C4×Q8C22×D514yes—
521C4×Q8C22×D512yes—
522C4×Q8C22×D512yes—
523C4×D4—21no—
524C4×D4—21no—
525C4×D4C22×D511yescharacteristic
526C4×D4C22×D511yescharacteristic
527#117—22no—
528#117—22no—
529#117—24no—
530#117—21no—
531#117—52no—
532#117—104no—
533#117C22×D511yescharacteristic
534#117C22×D512yes—
535C2×C4⋊C4—21no—
536C2×C4⋊C4—21no—
537C2×C4⋊C4—51no—
538C2×C4⋊C4—101no—
539C2×C42—21no—
540C2×C42—101no—
541C2×C42C22×D511yescharacteristic
542#107—52no—
543#107—52no—
544#107—52no—
545#106—52no—
546#106—52no—
547#106—52no—
548C4⋊C8—51no—
549C4⋊C8—51no—
550C4⋊C8—52no—
551C4⋊C8—54no—
552C4⋊C8—54no—
553#103—54no—
554#103—54no—
555#103—52no—
556#103—52no—
557#103—52no—
558#103—54no—
559#103—54no—
560#103—54no—
561#103—54no—
562#103—52no—
563#103—52no—
564#102—52no—
565#102—52no—
566#102—52no—
567#97—52no—
568#97—54no—
569C4×C8—52no—
570C4×C8—54no—
571C22×C5—21no—
572C22×C5—21no—
573C22×C5—41no—
574C22×C5—41no—
575C22×C5—41no—
576C22×C5#54812yes—
577C22×C5C23×D411yescharacteristic
578C4×C5—21no—
579C4×C5—24no—
580C4×C5—21no—
581C4×C5—21no—
582C4×C5—24no—
583C4×C5—41no—
584C4×C5—41no—
585C4×C5—44no—
586C4×C5—41no—
587C4×C5#54812yes—
588C4×C5#57812yes—
589C4×C5C22×#4111yescharacteristic
590C4×C5C2×2−1+411yescharacteristic
591Dic5—24no—
592Dic5—42no—
593Dic5—42no—
594Dic5—42no—
595#41—22no—
596#41—22no—
597C2×Q8—22no—
598C2×Q8—24no—
599C2×Q8—24no—
600C2×Q8—54no—
601C2×Q8—52no—
602C2×Q8—102no—
603C2×Q8—101no—
604C2×Q8—101no—
605C2×Q8—101no—
606C2×Q8—104no—
607C2×Q8C2×C22⋊D512yes—
608C2×Q8C2×C22⋊D512yes—
609C2×Q8C23×D514yes—
610C2×Q8C23×D511yescharacteristic
611C2×D4—21no—
612C2×D4C23×D511yescharacteristic
613C22×C4—22no—
614C22×C4—21no—
615C22×C4—21no—
616C22×C4—21no—
617C22×C4—101no—
618C22×C4—101no—
619C22×C4C2×C22⋊D511yescharacteristic
620C22×C4C2×C22⋊D511yescharacteristic
621C22×C4C23×D511yescharacteristic
622Q16—108no—
623Q16—108no—
624Q16—104no—
625SD16—104no—
626M16—102no—
627M16—102no—
628C2×C8—52no—
629C2×C8—52no—
630C2×C8—52no—
631C2×C8—52no—
632C2×C8—104no—
633C4⋊C4—22no—
634C4⋊C4—22no—
635C4⋊C4—22no—
636C4⋊C4—22no—
637C4⋊C4—21no—
638C4⋊C4—21no—
639C4⋊C4—24no—
640C4⋊C4—24no—
641C4⋊C4—24no—
642C4⋊C4—24no—
643C4⋊C4—52no—
644C4⋊C4—52no—
645C4⋊C4—52no—
646C4⋊C4—101no—
647C4⋊C4—102no—
648C4⋊C4—102no—
649C4⋊C4—104no—
650C4⋊C4—104no—
651C4⋊C4—102no—
652C4⋊C4—101no—
653C4⋊C4—104no—
654C4⋊C4—102no—
655C4⋊C4—104no—
656C4⋊C4—101no—
657C4⋊C4—104no—
658C4⋊C4C2×C22⋊D512yes—
659C4⋊C4C2×C22⋊D512yes—
660C4⋊C4C2×C22⋊D512yes—
661C4⋊C4C2×C22⋊D512yes—
662C4⋊C4C2×C22⋊D514yes—
663C4⋊C4C2×C22⋊D514yes—
664C4⋊C4C23×D511yescharacteristic
665C4⋊C4C23×D511yescharacteristic
666C22⋊C4—21no—
667C22⋊C4—21no—
668C22⋊C4—21no—
669C22⋊C4—24no—
670C22⋊C4—24no—
671C22⋊C4—102no—
672C22⋊C4C2×C22⋊D514yes—
673C42—21no—
674C42—21no—
675C42—21no—
676C42—24no—
677C42—24no—
678C42—102no—
679C42—102no—
680C42—102no—
681C42—104no—
682C42—104no—
683C42C2×C22⋊D511yescharacteristic
684C42C2×C22⋊D511yescharacteristic
685C42C23×D511yescharacteristic
686C42C23×D514yes—
687C42C23×D511yescharacteristic
688C2×C5—22no—
689C2×C5—81no—
690C2×C5C2×#54811yescharacteristic
691C2×C5C2×#57811yescharacteristic
692C2×C5#358611yescharacteristic
693C23—21no—
694C23C22×C22⋊D511yescharacteristic
695Q8—24no—
696Q8—24no—
697Q8—21no—
698Q8—24no—
699Q8—21no—
700Q8—42no—
701Q8—44no—
702Q8—54no—
703Q8—104no—
704Q8—102no—
705Q8—202no—
706Q8—401no—
707Q8—404no—
708D4—21no—
709D4—21no—
710D4—42no—
711C2×C4—22no—
712C2×C4—21no—
713C2×C4—21no—
714C2×C4—24no—
715C2×C4—21no—
716C2×C4—41no—
717C2×C4—42no—
718C2×C4—44no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—104no—
722C2×C4—102no—
723C2×C4—102no—
724C2×C4—102no—
725C2×C4—102no—
726C2×C4—401no—
727C2×C4D5×#4112yes—
728C2×C4#415012yes—
729C2×C4C22×C22⋊D514yes—
730C2×C4C22×C22⋊D514yes—
731C2×C4C22×C22⋊D511yescharacteristic
732C2×C4C22×C22⋊D511yescharacteristic
733C2×C4C22×C22⋊D511yescharacteristic
734C2×C4C22×C22⋊D511yescharacteristic
735C2×C4C22×C22⋊D511yescharacteristic
736C2×C4C24×D511yescharacteristic
737C8—102no—
738C8—102no—
739C8—102no—
740C8—102no—
741C5#6134211yescharacteristic, complemented, Sylow
742C22—21no—
743C22—21no—
744C22—41no—
745C22—41no—
746C22—41no—
747C22#6616512yes—
748C22C23×C22⋊D511yescharacteristic
749C4—21no—
750C4—21no—
751C4—24no—
752C4—21no—
753C4—24no—
754C4—41no—
755C4—44no—
756C4—41no—
757C4—41no—
758C4—104no—
759C4—202no—
760C4—202no—
761C4—202no—
762C4#6616512yes—
763C4#6617212yes—
764C4C2×D5×#4111yescharacteristic
765C4C2×#415011yescharacteristic
766C2—22no—
767C2—81no—
768C2C2×#6616511yescharacteristic
769C2#1061918811yescharacteristic
770C2C2×#6617211yescharacteristic
subgroupG/H
centerC22C23×C22⋊D5
commutator, cosocleC2×C4×C5C25
FrattiniC2×C4C24×D5
FittingC5×#3509C2
socleC22×C5C23×D4
prime radicalC2×C5×#41C23
hypercenter#3509D5
hypocenterC5#61342
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C22 ◁ #533 ◁ #3509

Complements

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

NH ≅ G/Ntype
2. #10618159C2semidirect
3. #10615430C2semidirect
4. #10615430C2semidirect
5. #10615427C2semidirect
6. #10615409C2semidirect
7. #10615408C2semidirect
8. #10615407C2semidirect
11. #10615061C2semidirect
12. C2×#65379C2semidirect
13. #10614929C2semidirect
14. #10614281C2semidirect
15. #10614280C2semidirect
741. C5#61342semidirect

Maximal subgroups

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

subgroupindex
C5×#35092
#106181592
#106154302
#106154272
#106154092
#106154082
#106154072
#106151432
#106151322
#106150612
C2×#653792
#106149292
#106142812
#106142802
C4×#40972
#106142382
#613425