Finite Group Databasebeta

← #12271952

Subgroups — #12271952

Order 1280.

2834 conjugacy classes of subgroups.

The subgroup lattice has 734 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#65849C211yesmaximal, characteristic, complemented
2C22×D5×C4⋊C4C211yesmaximal, characteristic, complemented
3C5×#2313C211yesmaximal, characteristic, complemented
4#10607052C214yesmaximal, complemented
5#10607050C214yesmaximal, complemented
6#10606751C214yesmaximal, complemented
7#10606740C214yesmaximal, complemented
8#10605877C212yesmaximal, complemented
9#10605867C212yesmaximal, complemented
10#10605780C211yesmaximal, characteristic, complemented
11#10605779C211yesmaximal, characteristic
12#10605763C211yesmaximal, characteristic, complemented
13#10605684C211yesmaximal, characteristic, complemented
14C4×#4028C212yesmaximal, complemented
15#10605177C212yesmaximal, complemented
16C23×C4×D5C2211yescharacteristic
17C23×C4×D5C2211yescharacteristic
18C23×C4×D5C2211yescharacteristic
19C22×C5×C4⋊C4C2211yescharacteristic
20C2×#4076C2211yescharacteristic
21C2×#4075C2212yes—
22C2×C4×C22⋊D5C2212yes—
23C22×C4⋊Dic5C2211yescharacteristic
24C2×#4070C2211yescharacteristic
25C22×#683C2211yescharacteristic
26C22×#683C2211yescharacteristic
27#65849—28no—
28C2×#4044C2212yescomplemented
29C2×#4043C2212yes—
30C2×#4042C2212yescomplemented
31C2×#4041C2212yes—
32C2×#4040C2212yescomplemented
33C2×D5×C4⋊C4—28no—
34C2×D5×C4⋊C4C2214yes—
35C2×D5×C4⋊C4C2214yes—
36C2×#4035C2212yescomplemented
37C2×#4032C2212yes—
38C2×#4028C2212yes—
39C2×C4×D20C2214yes—
40C5×#387C2214yescomplemented
41C5×#387C2214yescomplemented
42C5×#381C2212yes—
43C5×#380C2211yescharacteristic
44C5×#380C2211yescharacteristic
45C4×C5×C22⋊C4C2212yes—
46#65283C2214yescomplemented
47#65276C2212yes—
48#65276C2212yes—
49#65272C2214yescomplemented
50#65247C2212yes—
51#65247C2212yes—
52#65244C2212yes—
53#65239C2212yes—
54#65239C2212yes—
55#65232C2212yes—
56#65229C2214yescomplemented
57C4×#685C2214yes—
58#65217C2214yescomplemented
59#64966C2214yescomplemented
60#64963C2214yescomplemented
61#64961C2212yescomplemented
62#64957C2214yes—
63#64957C2214yes—
64#64957C2214yes—
65#64957C2214yes—
66#64957C2214yescomplemented
67#64954C2214yes—
68#64954C2214yes—
69#64954C2214yes—
70#64954C2214yes—
71#64950C2214yescomplemented
72#64950C2212yescomplemented
73#64948C2214yescomplemented
74#64948C2212yescomplemented
75#64945C2212yescomplemented
76#64942C2214yescomplemented
77#34989—51nomaximal, Sylow
78C24×D5C2311yescharacteristic
79C23×C4×C5C2311yescharacteristic
80C23×C4×C5C2311yescharacteristic
81C23×C4×C5C2311yescharacteristic
82C22×C22⋊D5C2312yes—
83C23×Dic5C2311yescharacteristic
84C23×Dic5C2311yescharacteristic
85C23×Dic5C2311yescharacteristic
86C22×D20C2314yes—
87C22×D20C2311yescharacteristic
88C22×C4×D5—24no—
89C22×C4×D5—24no—
90C22×C4×D5—24no—
91C22×C4×D5—24no—
92C22×C4×D5—24no—
93C22×C4×D5—44no—
94C22×C4×D5—44no—
95C22×C4×D5C2314yes—
96C22×C4×D5C2314yes—
97C22×C4×D5C2312yes—
98C22×C4×D5C2312yes—
99C22×C4×D5C2312yes—
100C22×Dic10C2311yescharacteristic
101C2×C5×C4⋊C4D418yescomplemented
102C2×C5×C4⋊C4C2312yes—
103C2×C5×C4⋊C4C2312yes—
104C2×C5×C4⋊C4C2312yes—
105C2×C5×C4⋊C4C2312yes—
106C2×C5×C22⋊C4C2312yes—
107C2×C5×C22⋊C4C2312yes—
108C2×C42×C5C2314yes—
109C2×C22⋊Dic5C2312yes—
110#4076—24no—
111#4075—28no—
112C4×C22⋊D5—28no—
113C2×#685C2312yes—
114C2×#685C2314yes—
115C2×#685C2314yes—
116C2×#685C2314yes—
117C2×#685C2312yes—
118C2×#685C2312yes—
119C2×#685C2312yes—
120C2×#685C2314yes—
121C2×#685C2314yes—
122C2×#685C2314yes—
123C2×C4⋊Dic5—24no—
124C2×C4⋊Dic5C2314yes—
125C2×C4⋊Dic5C2311yescharacteristic
126C2×C4⋊Dic5C2314yes—
127C2×C4⋊Dic5C2311yescharacteristic
128C2×C4⋊Dic5C2314yes—
129C2×C4⋊Dic5C2314yes—
130#4070—24no—
131C2×#683—24no—
132C2×#683—24no—
133C2×#683C2312yes—
134C2×#683C2312yes—
135C2×#683C2312yes—
136C2×#683C2312yes—
137C2×#683C2312yes—
138C2×#683C2314yes—
139C2×#683C2312yes—
140C2×C4×Dic5C2312yes—
141#4044—28no—
142#4043—44no—
143#4042—28no—
144#4041—44no—
145#4040—28no—
146D5×C4⋊C4—216no—
147D5×C4⋊C4—216no—
148#4035—28no—
149#4032—28no—
150#4028—28no—
151C4×D20—48no—
152C5×#95C2314yes—
153C5×#95C2312yes—
154C5×#95C2312yes—
155C5×#95C2314yes—
156C5×#95C2314yes—
157#3963C2314yes—
158#3963C2314yes—
159#3963C2314yes—
160#3963C2314yes—
161#3963C2314yes—
162#3963C2314yes—
163C2×#539—51no—
164C23×C4⋊C4—51no—
165#2849—52no—
166#2848—51no—
167#2847—51no—
168#2627—51no—
169#2623—52no—
170#2618—51no—
171#2481—54no—
172#2473—54no—
173#2449—54no—
174#2443—54no—
175#2322—52no—
176#2313D511yescharacteristic, complemented
177C4×#120—52no—
178C24×C5C2411yescharacteristic
179C23×D5—22no—
180C23×D5—22no—
181C23×D5—24no—
182C23×D5—24no—
183C23×D5#4114yes—
184C23×D5C2412yes—
185C23×D5C2412yes—
186C22×C4×C5—22no—
187C22×C4×C5—22no—
188C22×C4×C5—42no—
189C22×C4×C5—42no—
190C22×C4×C5C2×D414yes—
191C22×C4×C5C2×D414yes—
192C22×C4×C5C2×D414yes—
193C22×C4×C5C2414yes—
194C22×C4×C5C2414yes—
195C22×C4×C5C2412yes—
196C22×C4×C5C2411yescharacteristic
197C22×C4×C5C2411yescharacteristic
198C22×C4×C5C2412yes—
199C2×C22⋊D5—24no—
200C2×C22⋊D5—24no—
201C2×C22⋊D5—24no—
202C22×Dic5—22no—
203C22×Dic5—22no—
204C22×Dic5—22no—
205C22×Dic5—22no—
206C22×Dic5—42no—
207C22×Dic5—42no—
208C22×Dic5#4114yes—
209C22×Dic5C2412yes—
210C22×Dic5C2412yes—
211C22×Dic5C2412yes—
212C22×Dic5C2412yes—
213C22×Dic5C2412yes—
214C22×Dic5C2412yes—
215C2×D20—28no—
216C2×D20—28no—
217C2×D20—28no—
218C2×D20—22no—
219C2×D20—42no—
220C2×C4×D5—232no—
221C2×C4×D5—28no—
222C2×C4×D5—28no—
223C2×C4×D5—28no—
224C2×C4×D5—28no—
225C2×C4×D5—24no—
226C2×C4×D5—24no—
227C2×C4×D5—28no—
228C2×C4×D5—24no—
229C2×C4×D5—24no—
230C2×C4×D5—24no—
231C2×C4×D5—42no—
232C2×C4×D5—44no—
233C2×C4×D5—42no—
234C2×C4×D5—416no—
235C2×C4×D5—416no—
236C2×C4×D5—44no—
237C2×Dic10—22no—
238C2×Dic10—42no—
239C5×C4⋊C4—42no—
240C5×C4⋊C4—42no—
241C5×C4⋊C4C2×D418yes—
242C5×C4⋊C4C2×D418yes—
243C5×C22⋊C4—24no—
244C5×C22⋊C4—24no—
245C42×C5—44no—
246C22⋊Dic5—24no—
247#685—28no—
248#685—28no—
249#685—28no—
250#685—24no—
251#685—24no—
252#685—24no—
253#685—24no—
254#685—28no—
255#685—44no—
256#685—44no—
257C4⋊Dic5—22no—
258C4⋊Dic5—28no—
259C4⋊Dic5—22no—
260C4⋊Dic5—28no—
261C4⋊Dic5—44no—
262C4⋊Dic5—44no—
263#683—24no—
264#683—24no—
265#683—24no—
266#683—24no—
267#683—28no—
268#683—24no—
269#683—24no—
270C4×Dic5—24no—
271C24×C4—51no—
272C24×C4—51no—
273C24×C4—51no—
274#539—108no—
275C2×#126—52no—
276C2×#125—52no—
277C2×#123—52no—
278C2×#123—52no—
279C2×#123—52no—
280C2×C22⋊Q8—51no—
281C2×C22⋊Q8—52no—
282C2×C22⋊Q8—52no—
283C2×#121—51no—
284C2×#121—52no—
285C2×#120—52no—
286C2×C4×D4—52no—
287C2×C4×D4—54no—
288C22×C4⋊C4—51no—
289C22×C4⋊C4—51no—
290C22×C4⋊C4—51no—
291C22×C4⋊C4—54no—
292C22×C4⋊C4—54no—
293C22×C4⋊C4—108no—
294C22×C4⋊C4C2×D511yescharacteristic
295#400—54no—
296#400—52no—
297#399—54no—
298#398—54no—
299#398—52no—
300#398—54no—
301#397—54no—
302#396—54no—
303#395—52no—
304#394—52no—
305#389—54no—
306#388—54no—
307#387—54no—
308#387C2×D514yescomplemented
309#387C2×D514yescomplemented
310#386—52no—
311#386—52no—
312#386—54no—
313#386—54no—
314#386—54no—
315#386—54no—
316#385—52no—
317#385—52no—
318#385—54no—
319#385—54no—
320#385—54no—
321#385—54no—
322#385—54no—
323#381—52no—
324#381C2×D512yes—
325#380—52no—
326#380—52no—
327#380C2×D511yescharacteristic
328#380C2×D511yescharacteristic
329#379—52no—
330C4×C22⋊C4—54no—
331C4×C22⋊C4C2×D512yes—
332C23×C5—22no—
333C23×C5—22no—
334C23×C5C22×D412yes—
335C23×C5C2×#4112yes—
336C23×C5C2×#4112yes—
337C23×C5C2511yescharacteristic
338C22×D5—28no—
339C22×D5—28no—
340C22×D5—216no—
341C22×D5—28no—
342C22×D5—22no—
343C22×D5—22no—
344C22×D5—22no—
345C22×D5—22no—
346C22×D5—216no—
347C22×D5—22no—
348C22×D5—22no—
349C22×D5—22no—
350C22×D5—24no—
351C22×D5—24no—
352C22×D5C2×#4114yes—
353C22×D5H(5,𝔽2)14yes—
354C22×D52−1+414yes—
355C2×C4×C5—28no—
356C2×C4×C5—22no—
357C2×C4×C5—22no—
358C2×C4×C5—24no—
359C2×C4×C5—22no—
360C2×C4×C5—22no—
361C2×C4×C5—24no—
362C2×C4×C5—24no—
363C2×C4×C5—24no—
364C2×C4×C5—24no—
365C2×C4×C5—24no—
366C2×C4×C5—24no—
367C2×C4×C5—44no—
368C2×C4×C5—44no—
369C2×C4×C5C22×D414yes—
370C2×C4×C5C22×D412yes—
371C2×C4×C5C22×D414yes—
372C2×C4×C5C22×D412yes—
373C22⋊D5—48no—
374C2×Dic5—28no—
375C2×Dic5—22no—
376C2×Dic5—22no—
377C2×Dic5—22no—
378C2×Dic5—22no—
379C2×Dic5—22no—
380C2×Dic5—22no—
381C2×Dic5—22no—
382C2×Dic5—22no—
383C2×Dic5—22no—
384C2×Dic5—24no—
385C2×Dic5—22no—
386C2×Dic5—24no—
387C2×Dic5—22no—
388C2×Dic5—24no—
389C2×Dic5—44no—
390C2×Dic5—44no—
391C2×Dic5C2×#4114yes—
392D20—416no—
393D20—82no—
394C4×D5—232no—
395C4×D5—48no—
396C4×D5—416no—
397C4×D5—48no—
398C4×D5—84no—
399Dic10—82no—
400C25—51no—
401C22×Q8—51no—
402C22×D4—52no—
403C22×D4—54no—
404C22×D4—51no—
405C23×C4—51no—
406C23×C4—51no—
407C23×C4—51no—
408C23×C4—54no—
409C23×C4—54no—
410C23×C4—52no—
411C23×C4—52no—
412C23×C4—52no—
413C23×C4—104no—
414C23×C4—104no—
415C23×C4—104no—
416C23×C4—104no—
417C23×C4—104no—
418C23×C4—204no—
419C23×C4—204no—
420C23×C4C22×D511yescharacteristic
421C23×C4C22×D511yescharacteristic
422C23×C4C22×D511yescharacteristic
423#126—108no—
424#125—108no—
425#123—108no—
426#123—108no—
427#123—108no—
428C22⋊Q8—104no—
429C22⋊Q8—108no—
430C22⋊Q8—204no—
431#121—104no—
432#121—204no—
433#120—108no—
434C4×D4—108no—
435C4×D4—208no—
436C2×C4⋊C4—54no—
437C2×C4⋊C4—52no—
438C2×C4⋊C4—52no—
439C2×C4⋊C4—54no—
440C2×C4⋊C4—52no—
441C2×C4⋊C4—51no—
442C2×C4⋊C4—52no—
443C2×C4⋊C4—52no—
444C2×C4⋊C4—51no—
445C2×C4⋊C4—52no—
446C2×C4⋊C4—54no—
447C2×C4⋊C4—54no—
448C2×C4⋊C4—54no—
449C2×C4⋊C4—104no—
450C2×C4⋊C4—104no—
451C2×C4⋊C4—104no—
452C2×C4⋊C4—1016no—
453C2×C4⋊C4—1016no—
454C2×C4⋊C4D2018yescomplemented
455C2×C4⋊C4C22×D512yes—
456C2×C4⋊C4C22×D512yes—
457C2×C4⋊C4C22×D512yes—
458C2×C4⋊C4C22×D512yes—
459C2×C22⋊C4—52no—
460C2×C22⋊C4—54no—
461C2×C22⋊C4—52no—
462C2×C22⋊C4—54no—
463C2×C22⋊C4—52no—
464C2×C22⋊C4—52no—
465C2×C22⋊C4—52no—
466C2×C22⋊C4—54no—
467C2×C22⋊C4—54no—
468C2×C22⋊C4—54no—
469C2×C22⋊C4—54no—
470C2×C22⋊C4C22×D512yes—
471C2×C22⋊C4C22×D512yes—
472C2×C42—52no—
473C2×C42C22×D514yes—
474#95—54no—
475#95—54no—
476#95—54no—
477#95—54no—
478#95—54no—
479#95—54no—
480#95C22×D514yes—
481#95C22×D512yes—
482#95C22×D512yes—
483#95C22×D514yes—
484#95C22×D514yes—
485C22×C5—24no—
486C22×C5—22no—
487C22×C5—22no—
488C22×C5—24no—
489C22×C5#52514yes—
490C22×C5C23×D411yescharacteristic
491C22×C5C22×#4111yescharacteristic
492C22×C5C22×#4111yescharacteristic
493C22×C5C2×H(5,𝔽2)12yes—
494C22×C5C2×2−1+412yes—
495C2×D5—232no—
496C2×D5—24no—
497C2×D5—24no—
498C2×D5—24no—
499C2×D5—24no—
500C2×D5—24no—
501C2×D5—24no—
502C2×D5—42no—
503C2×D5—44no—
504C2×D5—42no—
505C2×D5—42no—
506C2×D5—44no—
507C2×D5#53918yescomplemented
508C4×C5—24no—
509C4×C5—22no—
510C4×C5—24no—
511C4×C5—22no—
512C4×C5—44no—
513C4×C5—44no—
514Dic5—24no—
515Dic5—42no—
516Dic5—42no—
517Dic5—42no—
518Dic5—42no—
519Dic5—42no—
520C24—52no—
521C24—54no—
522C24—52no—
523C24—104no—
524C24—104no—
525C24—102no—
526C24—102no—
527C24C23×D511yescharacteristic
528C2×Q8—102no—
529C2×Q8—202no—
530C2×D4—108no—
531C2×D4—108no—
532C2×D4—108no—
533C2×D4—104no—
534C2×D4—104no—
535C2×D4—104no—
536C2×D4—102no—
537C2×D4—202no—
538C22×C4—22no—
539C22×C4—22no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4—54no—
543C22×C4—52no—
544C22×C4—52no—
545C22×C4—52no—
546C22×C4—52no—
547C22×C4—52no—
548C22×C4—52no—
549C22×C4—108no—
550C22×C4—108no—
551C22×C4—1032no—
552C22×C4—108no—
553C22×C4—104no—
554C22×C4—104no—
555C22×C4—102no—
556C22×C4—102no—
557C22×C4—108no—
558C22×C4—102no—
559C22×C4—102no—
560C22×C4—108no—
561C22×C4—104no—
562C22×C4—104no—
563C22×C4—104no—
564C22×C4—204no—
565C22×C4—202no—
566C22×C4—202no—
567C22×C4—204no—
568C22×C4—2016no—
569C22×C4—2016no—
570C22×C4—202no—
571C22×C4—202no—
572C22×C4C2×D2014yes—
573C22×C4C2×D2014yes—
574C22×C4C2×D2014yes—
575C22×C4C23×D514yes—
576C22×C4C23×D514yes—
577C22×C4C23×D512yes—
578C22×C4C23×D512yes—
579C22×C4C23×D511yescharacteristic
580C22×C4C23×D511yescharacteristic
581C4⋊C4—42no—
582C4⋊C4—42no—
583C4⋊C4—108no—
584C4⋊C4—108no—
585C4⋊C4—104no—
586C4⋊C4—104no—
587C4⋊C4—108no—
588C4⋊C4—104no—
589C4⋊C4—102no—
590C4⋊C4—104no—
591C4⋊C4—104no—
592C4⋊C4—102no—
593C4⋊C4—104no—
594C4⋊C4—204no—
595C4⋊C4—204no—
596C4⋊C4C2×D2018yes—
597C4⋊C4C2×D2018yes—
598C22⋊C4—24no—
599C22⋊C4—24no—
600C22⋊C4—108no—
601C22⋊C4—108no—
602C22⋊C4—108no—
603C22⋊C4—108no—
604C22⋊C4—104no—
605C22⋊C4—104no—
606C22⋊C4—104no—
607C22⋊C4—104no—
608C22⋊C4—104no—
609C22⋊C4—204no—
610C22⋊C4—204no—
611C42—44no—
612C42—104no—
613C2×C5—24no—
614C2×C5C2×#52511yescharacteristic
615C2×C5C2×#53912yes—
616C2×C5#348411yescharacteristic
617C2×C5#348611yescharacteristic
618C2×C5#349212yes—
619D5—28no—
620D5—82no—
621C23—22no—
622C23—22no—
623C23—54no—
624C23—54no—
625C23—54no—
626C23—1016no—
627C23—108no—
628C23—108no—
629C23—1016no—
630C23—108no—
631C23—102no—
632C23—102no—
633C23—102no—
634C23—102no—
635C23—102no—
636C23—102no—
637C23—102no—
638C23—104no—
639C23—104no—
640C23C22×D2012yes—
641C23D5×#4112yes—
642C23D5×#4112yes—
643C23C24×D511yescharacteristic
644Q8—402no—
645D4—2016no—
646D4—208no—
647D4—402no—
648C2×C4—28no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—24no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—24no—
655C2×C4—24no—
656C2×C4—24no—
657C2×C4—24no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—44no—
661C2×C4—44no—
662C2×C4—54no—
663C2×C4—1032no—
664C2×C4—108no—
665C2×C4—102no—
666C2×C4—102no—
667C2×C4—102no—
668C2×C4—102no—
669C2×C4—102no—
670C2×C4—102no—
671C2×C4—102no—
672C2×C4—102no—
673C2×C4—102no—
674C2×C4—104no—
675C2×C4—102no—
676C2×C4—104no—
677C2×C4—102no—
678C2×C4—104no—
679C2×C4—2016no—
680C2×C4—208no—
681C2×C4—208no—
682C2×C4—204no—
683C2×C4—204no—
684C2×C4—404no—
685C2×C4C22×D2014yes—
686C2×C4C22×D2014yes—
687C2×C4C22×D2012yes—
688C2×C4C22×D2012yes—
689C5#3498911yescharacteristic, complemented, Sylow
690C22—22no—
691C22—22no—
692C22—24no—
693C22—24no—
694C22—58no—
695C22—1032no—
696C22—104no—
697C22—104no—
698C22—104no—
699C22—104no—
700C22—104no—
701C22—104no—
702C22—202no—
703C22—202no—
704C22—202no—
705C22—204no—
706C22—204no—
707C22#6585814yes—
708C22C23×D2011yescharacteristic
709C22C2×D5×#4111yescharacteristic
710C22C2×D5×#4111yescharacteristic
711C22D5×H(5,𝔽2)12yes—
712C22D5×2−1+412yes—
713C4—24no—
714C4—24no—
715C4—22no—
716C4—22no—
717C4—44no—
718C4—44no—
719C4—104no—
720C4—202no—
721C4—202no—
722C4—202no—
723C4—202no—
724C4—202no—
725C2—24no—
726C2—108no—
727C2—402no—
728C2C2×#6585811yescharacteristic
729C2#1061776811yescharacteristic
730C2#1061778211yescharacteristic
731C2#1061833112yes—
732C2D5×#53912yes—
subgroupG/H
center, FrattiniC23C24×D5
commutator, socle, cosocleC23×C5C25
FittingC5×#2313C2
prime radical#10605779C2
hypercenter#2313D5
hypocenterC5#34989
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C23 ◁ #2313

Complements

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

NH ≅ G/Ntype
1. C2×#65849C2semidirect
2. C22×D5×C4⋊C4C2semidirect
3. C5×#2313C2semidirect
4. #10607052C2semidirect
5. #10607050C2semidirect
6. #10606751C2semidirect
7. #10606740C2semidirect
8. #10605877C2semidirect
9. #10605867C2semidirect
10. #10605780C2semidirect
12. #10605763C2semidirect
13. #10605684C2semidirect
14. C4×#4028C2semidirect
15. #10605177C2semidirect
28. C2×#4044C22semidirect
30. C2×#4042C22semidirect
32. C2×#4040C22semidirect
36. C2×#4035C22semidirect
40. C5×#387C22semidirect
41. C5×#387C22semidirect
46. #65283C22semidirect
49. #65272C22semidirect
56. #65229C22semidirect
58. #65217C22semidirect
59. #64966C22semidirect
60. #64963C22semidirect
61. #64961C22semidirect
66. #64957C22semidirect
71. #64950C22semidirect
72. #64950C22semidirect
73. #64948C22semidirect
74. #64948C22semidirect
75. #64945C22semidirect
76. #64942C22semidirect
101. C2×C5×C4⋊C4D4semidirect
176. #2313D5semidirect
308. #387C2×D5semidirect
309. #387C2×D5semidirect
454. C2×C4⋊C4D20semidirect
507. C2×D5#539semidirect
689. C5#34989semidirect

Maximal subgroups

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

subgroupindex
C2×#658492
C22×D5×C4⋊C42
C5×#23132
#106070522
#106070502
#106067512
#106067402
#106058772
#106058672
#106057802
#106057792
#106057632
#106056842
C4×#40282
#106051772
#349895