Finite Group Databasebeta

← #14412940

Subgroups — #14412940

Order 1920.

1476 conjugacy classes of subgroups.

The subgroup lattice has 744 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#11757022C211yesmaximal, characteristic
2C3×#65856C211yesmaximal, characteristic, complemented
3#11754120C211yesmaximal, characteristic, complemented
4#11751106C211yesmaximal, characteristic, complemented
5C5×#5005C211yesmaximal, characteristic, complemented
6C2×#90981C211yesmaximal, characteristic, complemented
7C2×#90979C211yesmaximal, characteristic, complemented
8#11747109C214yesmaximal, complemented
9D5×#805C214yesmaximal, complemented
10#10610723—31nomaximal, Hall
11C2×#6817C2211yescharacteristic
12C2×C5×#235C2211yescharacteristic
13C2×C3×#709C2211yescharacteristic
14#92049—22no—
15#92019C412yescomplemented
16#92018C412yescomplemented
17#92017—21no—
18#92016—22no—
19D3×#709—22no—
20D5×#235C2214yes—
21#92004—21no—
22#92001C412yescomplemented
23#92000C412yescomplemented
24C3×C5×#117C2211yescharacteristic, complemented
25C2×#6710C2211yescharacteristic, complemented
26C2×C5×#208C2211yescharacteristic, complemented
27C2×C3×C4×Dic5C2211yescharacteristic, complemented
28C3×#4039—21no—
29C3×#4033—21no—
30C3×#4027—22no—
31C3×#4018C2212yescomplemented
32C3×C42×D5C2212yescomplemented
33#91284—22no—
34#91283—22no—
35D5×#208C2214yescomplemented
36#91089C2214yescomplemented
37C5×#805C2214yescomplemented
38#90981C2212yescomplemented
39#90981C2212yescomplemented
40#90979C2212yescomplemented
41#90979C2212yescomplemented
42#82536—51nomaximal, Hall
43#66283—31no—
44#66079—31no—
45#65856D311yescharacteristic, complemented
46C5×#421—31no—
47C2×#3969—31no—
48C2×#3957—31no—
49#65294—31no—
50#65110—34no—
51D5×#104—34no—
52C22×C3×C4×C5C2311yescharacteristic
53C2×#1220—21no—
54#6817—21no—
55#6817—21no—
56#6817C2×C412yescomplemented
57#6817C2312yes—
58C2×D60C2×C411yescharacteristic, complemented
59C2×C4×D15—21no—
60C2×Dic30C2×C411yescharacteristic, complemented
61C2×C5×#67—21no—
62C5×#235—21no—
63C5×#235—21no—
64C5×#235C2×C412yescomplemented
65C5×#235C2312yes—
66C2×C5×D12C2×C411yescharacteristic, complemented
67C2×C4×C5×D3—21no—
68C2×C5×Dic6C2×C411yescharacteristic, complemented
69C2×C3×C22⋊D5D412yes—
70C22×C3×Dic5—21no—
71C3×#709C2×C412yes—
72C3×#709C2×C412yes—
73C3×#709D412yes—
74C3×#709D412yes—
75C2×C3×D20D411yescharacteristic
76C2×C3×C4×D5—22no—
77C2×C3×C4×D5C2312yes—
78C2×C3×Dic10D411yescharacteristic
79#6790—24no—
80D3×C22⋊D5—24no—
81D5×#67—24no—
82#6782—24no—
83#6780—24no—
84#6779—24no—
85#6777—22no—
86D3×D20—22no—
87D5×D12C2×C414yescomplemented
88C4×D3×D5—24no—
89#6773C2×C414yescomplemented
90#6772C2×C414yescomplemented
91#6771—24no—
92D15⋊Q8—22no—
93#6769—22no—
94#6768—22no—
95D3×Dic10—22no—
96#6766—22no—
97#6765—22no—
98D5×Dic6C2×C414yescomplemented
99C3×C5×C4⋊C4—21no—
100C3×C5×C22⋊C4—21no—
101C3×C42×C5C2312yes—
102#6710—21no—
103#6710C2312yes—
104C2×C3⋊#168—21no—
105C5×#208—21no—
106C5×#208C2312yes—
107C2×C5×C3⋊C8—21no—
108C3×#685—22no—
109C3×#683—22no—
110C3×C4×Dic5—21no—
111C3×C4×Dic5—22no—
112C3×C4×Dic5C2311yescharacteristic
113C3×C4×Dic5C2311yescharacteristic
114#6649—24no—
115D5×C3⋊C8—24no—
116#5964—51no—
117C3×C4×#41—51no—
118#5819—51no—
119#5005—51no—
120#5005—54no—
121#5005D511yescharacteristic, complemented
122C2×#805—51no—
123C2×#805—51no—
124C2×#805—54no—
125C2×C5×#41—31no—
126#4150—32no—
127#4150—61no—
128#4149—32no—
129#4149—61no—
130D5×#41—34no—
131D5×#41—62no—
132#4147—32no—
133#4144—32no—
134#4144—62no—
135C2×#709—31no—
136C2×#709—62no—
137C2×#709C2×D311yescharacteristic
138C2×C5×M16—31no—
139C5×#117C2×D311yescharacteristic, complemented
140C2×C4×Dic5C2×D311yescharacteristic, complemented
141C2×#681—31no—
142#4053—62no—
143D5×M16—34no—
144#4047—62no—
145#4039—21no—
146#4033—21no—
147#4027—22no—
148#4018C2×D312yescomplemented
149C42×D5C2×D312yescomplemented
150C5×#104—34no—
151#3969—32no—
152#3969—32no—
153#3957—32no—
154#3957—32no—
155#3937—34no—
156#2901—151noSylow
157C23×C3×C5C2×D411yescharacteristic
158C22×D15—21no—
159C22×C5×D3—21no—
160C22×C3×D5C2×D412yes—
161C2×D3×D5—24no—
162C2×C3×C4×C5—22no—
163C2×C3×C4×C5C22×C411yescharacteristic
164C2×C3×C4×C5C22×C411yescharacteristic
165C2×C3×C4×C5C2×D411yescharacteristic
166C2×C3×C4×C5C2×D411yescharacteristic
167C2×C3×C4×C5C2×D411yescharacteristic
168C2×C3×C4×C5C2411yescharacteristic
169#1220—22no—
170#1220—22no—
171C2×Dic15—21no—
172D60—21no—
173D60C22×C412yes—
174C4×D15—22no—
175C4×D15—22no—
176Dic30—21no—
177Dic30C22×C412yes—
178C5×#67—22no—
179C5×#67—22no—
180C2×C5×Dic3—21no—
181C5×D12—21no—
182C5×D12C22×C412yes—
183C4×C5×D3—22no—
184C4×C5×D3—22no—
185C5×Dic6—21no—
186C5×Dic6C22×C412yes—
187C3×C22⋊D5C22⋊C414yes—
188C3×C22⋊D5C22⋊C414yes—
189C2×C3×Dic5—21no—
190C2×C3×Dic5—21no—
191C2×C3×Dic5—42no—
192C2×C3×Dic5C2×D412yes—
193C3×D20C22⋊C412yes—
194C3×D20C22⋊C412yes—
195C3×C4×D5—44no—
196C3×C4×D5C22×C414yes—
197C3×C4×D5C2×D414yes—
198C3×Dic10C22⋊C412yes—
199C3×Dic10C22⋊C412yes—
200#1204—24no—
201#1203—24no—
202#1202—24no—
203#1201—24no—
204#1200—24no—
205D3×Dic5—24no—
206D5×Dic3—24no—
207C3⋊#168—22no—
208C5×C3⋊C8—22no—
209C2×C3×#41—51no—
210#1010—52no—
211#1010—52no—
212#1009—52no—
213#1009—52no—
214D3×#41—102no—
215D3×#41—102no—
216#1007—101no—
217#1004—101no—
218#1004—102no—
219C2×#235—51no—
220C2×#235—54no—
221C2×#235C2×D511yescharacteristic
222C3×C4×Q8—101no—
223C3×C4×D4—102no—
224C3×C4×D4—101no—
225C3×#117—52no—
226C3×#117C2×D511yescharacteristic, complemented
227C2×C3×C42—51no—
228C2×C3×C42—52no—
229#948—102no—
230#948—102no—
231C2×#208—51no—
232C2×#208—54no—
233C2×#208C2×D511yescharacteristic, complemented
234#805—52no—
235#805—52no—
236#805—54no—
237#805—52no—
238#805—52no—
239#805C2×D514yescomplemented
240C5×#41—32no—
241C5×#41—32no—
242C5×#41—61no—
243C5×#41—61no—
244C2×C5×Q8—31no—
245C2×C5×D4—31no—
246C2×C5×D4—61no—
247C22×C4×C5—61no—
248C22×C4×C5C22×D311yescharacteristic
249C2×C22⋊D5—61no—
250C2×C22⋊D5—64no—
251C2×C22⋊D5#6712yes—
252C22×Dic5—21no—
253#713—34no—
254#713—62no—
255Q8×D5—34no—
256Q8×D5—62no—
257#711—34no—
258#711—64no—
259#711—64no—
260#711—62no—
261D4×D5—34no—
262D4×D5—64no—
263D4×D5—64no—
264D4×D5—62no—
265#709—32no—
266#709—32no—
267#709—61no—
268#709—61no—
269#709—64no—
270#709—62no—
271#709—64no—
272#709—62no—
273#709C4×D312yes—
274#709C4×D312yes—
275#709D1212yes—
276#709D1212yes—
277C2×D20—31no—
278C2×D20—62no—
279C2×D20#6711yescharacteristic
280C2×C4×D5—22no—
281C2×C4×D5—61no—
282C2×C4×D5—64no—
283C2×C4×D5C22×D312yes—
284C2×Dic10—31no—
285C2×Dic10—62no—
286C2×Dic10#6711yescharacteristic
287C5×M16—32no—
288C5×M16—61no—
289C2×C5×C8—61no—
290C5×C4⋊C4—21no—
291C5×C22⋊C4—21no—
292C42×C5C22×D312yes—
293#685—22no—
294#683—22no—
295C4×Dic5—21no—
296C4×Dic5—22no—
297C4×Dic5C22×D311yescharacteristic
298C4×Dic5C22×D311yescharacteristic
299#681—32no—
300#681—61no—
301C2×#168—61no—
302#676—64no—
303C8×D5—64no—
304#585—151no—
305#568—151no—
306C4×#41—51no—
307#421—31no—
308#421—154no—
309#421—151no—
310C2×#104—154no—
311C2×#104—151no—
312C2×#104—151no—
313C22×C3×C5—41no—
314C22×C3×C5C2×C22⋊C411yescharacteristic
315C22×C3×C5C2×C22⋊C411yescharacteristic
316C22×C3×C5C22×D411yescharacteristic
317C2×D15—22no—
318C2×D15—81no—
319C2×C5×D3—22no—
320C2×C5×D3—81no—
321C2×C3×D5—42no—
322C2×C3×D5C2×C22⋊C414yes—
323D3×D5—84no—
324C3×C4×C5—42no—
325C3×C4×C5C2×C22⋊C411yescharacteristic
326C3×C4×C5C2×C22⋊C411yescharacteristic
327C3×C4×C5C23×C411yescharacteristic
328C3×C4×C5C22×D411yescharacteristic
329Dic15—22no—
330C3×Dic5—22no—
331C3×Dic5—41no—
332C3×Dic5C2×C22⋊C414yes—
333C5×Dic3—22no—
334C3×#41—52no—
335C3×#41—52no—
336C3×#41—52no—
337C3×#41—52no—
338C2×C3×Q8—51no—
339C2×C3×D4—52no—
340C2×C3×D4—51no—
341C22×C3×C4—52no—
342C22×C3×C4—102no—
343C22×C3×C4—101no—
344C22×C3×C4C22×D511yescharacteristic
345C2×#67—21no—
346C2×#67—104no—
347C2×#67—101no—
348#239—102no—
349#239—102no—
350D3×Q8—102no—
351D3×Q8—102no—
352#237—102no—
353#237—102no—
354#237—104no—
355#237—104no—
356D3×D4—102no—
357D3×D4—102no—
358D3×D4—104no—
359D3×D4—104no—
360#235—21no—
361#235—21no—
362#235—52no—
363#235—52no—
364#235—54no—
365#235—54no—
366#235—104no—
367#235—104no—
368#235—101no—
369#235—101no—
370#235C4×D512yescomplemented
371#235C22×D512yes—
372C2×D12—51no—
373C2×D12—54no—
374C2×D12C4×D511yescharacteristic, complemented
375C2×C4×D3—21no—
376C2×C4×D3—104no—
377C2×C4×D3—101no—
378C2×Dic6—51no—
379C2×Dic6—54no—
380C2×Dic6C4×D511yescharacteristic, complemented
381C3×C4⋊C4—21no—
382C3×C4⋊C4—102no—
383C3×C22⋊C4—21no—
384C3×C22⋊C4—102no—
385C3×C42—51no—
386C3×C42—51no—
387C3×C42—102no—
388C3×C42—101no—
389C3×C42C22×D512yes—
390#208—21no—
391#208—52no—
392#208—104no—
393#208—101no—
394#208C22×D512yes—
395C2×C3⋊C8—21no—
396C2×C3⋊C8—104no—
397C2×C3⋊C8—101no—
398C23×C5—61no—
399C23×C5C2×#6711yescharacteristic
400C22×D5—61no—
401C22×D5—64no—
402C22×D5C2×#6712yes—
403C5×Q8—32no—
404C5×Q8—61no—
405C5×D4—32no—
406C5×D4—62no—
407C5×D4—62no—
408C5×D4—61no—
409C2×C4×C5—22no—
410C2×C4×C5—61no—
411C2×C4×C5—62no—
412C2×C4×C5—62no—
413C2×C4×C5C2×C4×D311yescharacteristic
414C2×C4×C5C2×C4×D311yescharacteristic
415C2×C4×C5C2×D1211yescharacteristic
416C2×C4×C5C2×D1211yescharacteristic
417C2×C4×C5C2×#6711yescharacteristic
418C2×C4×C5C23×D311yescharacteristic
419C22⋊D5—62no—
420C22⋊D5—62no—
421C22⋊D5—64no—
422C22⋊D5—64no—
423C22⋊D5(C2×D3)⋊C414yes—
424C22⋊D5(C2×D3)⋊C414yes—
425C2×Dic5—21no—
426C2×Dic5—21no—
427C2×Dic5—42no—
428C2×Dic5—61no—
429C2×Dic5—64no—
430C2×Dic5C2×#6712yes—
431D20—32no—
432D20—64no—
433D20—61no—
434D20(C2×D3)⋊C412yes—
435D20(C2×D3)⋊C412yes—
436C4×D5—44no—
437C4×D5—64no—
438C4×D5—62no—
439C4×D5—62no—
440C4×D5—64no—
441C4×D5C2×C4×D314yes—
442C4×D5C2×D1214yes—
443Dic10—32no—
444Dic10—61no—
445Dic10—64no—
446Dic10(C2×D3)⋊C412yes—
447Dic10(C2×D3)⋊C412yes—
448C5×C8—62no—
449#168—62no—
4502−1+4—152no—
4512−1+4—152no—
4522−1+4—301no—
453H(5,𝔽2)—152no—
454H(5,𝔽2)—152no—
455H(5,𝔽2)—302no—
456H(5,𝔽2)—301no—
457C2×#41—31no—
458C2×#41—51no—
459C2×#41—154no—
460C2×#41—151no—
461C2×#41—302no—
462C2×#41—302no—
463#131—302no—
464#131—302no—
465C2×M16—31no—
466C2×M16—154no—
467C2×M16—151no—
468C4×Q8—101no—
469C4×D4—102no—
470C4×D4—101no—
471#117—52no—
472#117D3×D511yescharacteristic, complemented
473C2×C42—51no—
474C2×C42—52no—
475#104—34no—
476#104—152no—
477#104—152no—
478#104—152no—
479#104—152no—
480#104—154no—
481C2×C3×C5—21no—
482C2×C3×C5—21no—
483C2×C3×C5—21no—
484C2×C3×C5C22×C22⋊C411yescharacteristic
485D15—42no—
486C3×D5—24no—
487C5×D3—42no—
488C23×C3—52no—
489C23×C3D4×D511yescharacteristic
490C22×D3—21no—
491C22×D3—104no—
492C22×D3—101no—
493C3×Q8—52no—
494C3×Q8—52no—
495C3×D4—54no—
496C3×D4—54no—
497C3×D4—52no—
498C3×D4—52no—
499C2×C3×C4—22no—
500C2×C3×C4—52no—
501C2×C3×C4—54no—
502C2×C3×C4—54no—
503C2×C3×C4—101no—
504C2×C3×C4—101no—
505C2×C3×C4—204no—
506C2×C3×C4—202no—
507C2×C3×C4C2×C4×D511yescharacteristic
508C2×C3×C4C2×C4×D511yescharacteristic
509C2×C3×C4D4×D511yescharacteristic
510C2×C3×C4D4×D511yescharacteristic
511C2×C3×C4D4×D511yescharacteristic
512C2×C3×C4C23×D511yescharacteristic
513#67—22no—
514#67—22no—
515#67—104no—
516#67—104no—
517#67—102no—
518#67—102no—
519C2×Dic3—21no—
520C2×Dic3—104no—
521C2×Dic3—101no—
522D12—21no—
523D12—52no—
524D12—104no—
525D12—101no—
526D12C2×C4×D512yes—
527C4×D3—22no—
528C4×D3—22no—
529C4×D3—104no—
530C4×D3—104no—
531C4×D3—102no—
532C4×D3—102no—
533Dic6—21no—
534Dic6—52no—
535Dic6—104no—
536Dic6—101no—
537Dic6C2×C4×D512yes—
538C3⋊C8—22no—
539C3⋊C8—102no—
540C22×C5—41no—
541C22×C5—62no—
542C22×C5—241no—
543C22×C5C2×(C2×D3)⋊C411yescharacteristic
544C22×C5C2×(C2×D3)⋊C411yescharacteristic
545C22×C5C22×#6711yescharacteristic
546C2×D5—42no—
547C2×D5—62no—
548C2×D5—244no—
549C2×D5—241no—
550C2×D5C2×(C2×D3)⋊C414yes—
551C4×C5—42no—
552C4×C5—62no—
553C4×C5C2×(C2×D3)⋊C411yescharacteristic
554C4×C5C2×(C2×D3)⋊C411yescharacteristic
555C4×C5C22×C4×D311yescharacteristic
556C4×C5C22×D1211yescharacteristic
557Dic5—22no—
558Dic5—41no—
559Dic5—62no—
560Dic5C2×(C2×D3)⋊C414yes—
561#41—32no—
562#41—32no—
563#41—52no—
564#41—52no—
565#41—52no—
566#41—52no—
567#41—61no—
568#41—61no—
569#41—154no—
570#41—154no—
571#41—152no—
572#41—152no—
573#41—304no—
574#41—304no—
575#41—304no—
576#41—302no—
577#41—302no—
578#41—304no—
579#41—302no—
580#41—302no—
581#41—301no—
582#41—301no—
583C2×Q8—31no—
584C2×Q8—51no—
585C2×Q8—154no—
586C2×Q8—151no—
587C2×Q8—302no—
588C2×Q8—302no—
589C2×D4—31no—
590C2×D4—52no—
591C2×D4—51no—
592C2×D4—61no—
593C2×D4—154no—
594C2×D4—151no—
595C2×D4—302no—
596C2×D4—304no—
597C2×D4—302no—
598C2×D4—304no—
599C2×D4—304no—
600C2×D4—301no—
601C22×C4—52no—
602C22×C4—61no—
603C22×C4—102no—
604C22×C4—101no—
605C22×C4—304no—
606C22×C4—301no—
607C22×C4C2×D3×D511yescharacteristic
608M16—32no—
609M16—61no—
610M16—152no—
611M16—304no—
612M16—301no—
613C2×C8—61no—
614C2×C8—304no—
615C2×C8—301no—
616C4⋊C4—21no—
617C4⋊C4—102no—
618C22⋊C4—21no—
619C22⋊C4—102no—
620C42—51no—
621C42—51no—
622C42—102no—
623C42—101no—
624C42C2×D3×D512yes—
625C3×C5#290111yescharacteristic, complemented, Hall
626C22×C3—41no—
627C22×C3—54no—
628C22×C3—202no—
629C22×C3D5×C22⋊C411yescharacteristic
630C22×C3D5×C22⋊C411yescharacteristic
631C22×C3C2×D4×D511yescharacteristic
632C2×D3—22no—
633C2×D3—81no—
634C2×D3—102no—
635C2×D3—404no—
636C2×D3—401no—
637C3×C4—42no—
638C3×C4—54no—
639C3×C4—102no—
640C3×C4—201no—
641C3×C4D5×C22⋊C411yescharacteristic
642C3×C4D5×C22⋊C411yescharacteristic
643C3×C4C22×C4×D511yescharacteristic
644C3×C4C2×D4×D511yescharacteristic
645Dic3—22no—
646Dic3—102no—
647C2×C5—21no—
648C2×C5—21no—
649C2×C5—21no—
650C2×C5—122no—
651C2×C5C22×(C2×D3)⋊C411yescharacteristic
652D5—24no—
653D5—122no—
654C23—52no—
655C23—61no—
656C23—304no—
657C23—301no—
658C23D5×#6711yescharacteristic
659Q8—32no—
660Q8—52no—
661Q8—52no—
662Q8—61no—
663Q8—152no—
664Q8—304no—
665Q8—301no—
666D4—32no—
667D4—54no—
668D4—54no—
669D4—52no—
670D4—52no—
671D4—62no—
672D4—62no—
673D4—61no—
674D4—152no—
675D4—304no—
676D4—304no—
677D4—304no—
678D4—302no—
679D4—302no—
680D4—301no—
681C2×C4—22no—
682C2×C4—52no—
683C2×C4—54no—
684C2×C4—54no—
685C2×C4—61no—
686C2×C4—62no—
687C2×C4—62no—
688C2×C4—101no—
689C2×C4—101no—
690C2×C4—204no—
691C2×C4—202no—
692C2×C4—304no—
693C2×C4—304no—
694C2×C4—304no—
695C2×C4—301no—
696C2×C4—302no—
697C2×C4—302no—
698C2×C4C4×D3×D511yescharacteristic
699C2×C4C4×D3×D511yescharacteristic
700C2×C4D5×D1211yescharacteristic
701C2×C4D5×D1211yescharacteristic
702C2×C4D5×#6711yescharacteristic
703C2×C4C22×D3×D511yescharacteristic
704C8—62no—
705C8—302no—
706C2×C3—21no—
707C2×C3—21no—
708C2×C3—21no—
709C2×C3—104no—
710C2×C3C2×D5×C22⋊C411yescharacteristic
711D3—42no—
712D3—202no—
713C5#8253611yescharacteristic, complemented, Sylow
714C22—41no—
715C22—54no—
716C22—62no—
717C22—202no—
718C22—241no—
719C22—302no—
720C22—1201no—
721C22—1204no—
722C22D5×(C2×D3)⋊C411yescharacteristic
723C22D5×(C2×D3)⋊C411yescharacteristic
724C22C2×D5×#6711yescharacteristic
725C4—42no—
726C4—54no—
727C4—62no—
728C4—102no—
729C4—201no—
730C4—302no—
731C4D5×(C2×D3)⋊C411yescharacteristic
732C4D5×(C2×D3)⋊C411yescharacteristic
733C4C2×C4×D3×D511yescharacteristic
734C4C2×D5×D1211yescharacteristic
735C3#1061072311yescharacteristic, complemented, Sylow
736C2—21no—
737C2—21no—
738C2—21no—
739C2—104no—
740C2—122no—
741C2—602no—
742C2C2×D5×(C2×D3)⋊C411yescharacteristic
subgroupG/H
centerC4C2×D5×D12
commutatorC3×C4×C5C23×C4
FrattiniC2×C4C22×D3×D5
FittingC3×C5×#117C22
socleC2×C3×C5C22×C22⋊C4
prime radical#11757022C2
cosocleC2×C3×C4×C5C24
hypercenter#117D3×D5
hypocenterC3×C5#2901
LCSG ▷ C3×C4×C5 ▷ C2×C3×C5 ▷ C3×C5
UCSC1 ◁ C4 ◁ C22×C4 ◁ #117

Complements

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

NH ≅ G/Ntype
2. C3×#65856C2semidirect
3. #11754120C2semidirect
4. #11751106C2semidirect
5. C5×#5005C2semidirect
6. C2×#90981C2semidirect
7. C2×#90979C2semidirect
8. #11747109C2semidirect
9. D5×#805C2semidirect
15. #92019C4semidirect
16. #92018C4semidirect
22. #92001C4semidirect
23. #92000C4semidirect
24. C3×C5×#117C22semidirect
25. C2×#6710C22semidirect
26. C2×C5×#208C22semidirect
27. C2×C3×C4×Dic5C22semidirect
31. C3×#4018C22semidirect
32. C3×C42×D5C22semidirect
35. D5×#208C22semidirect
36. #91089C22semidirect
37. C5×#805C22semidirect
38. #90981C22semidirect
39. #90981C22semidirect
40. #90979C22semidirect
41. #90979C22semidirect
45. #65856D3semidirect
56. #6817C2×C4semidirect
58. C2×D60C2×C4semidirect
60. C2×Dic30C2×C4semidirect
64. C5×#235C2×C4semidirect
66. C2×C5×D12C2×C4semidirect
68. C2×C5×Dic6C2×C4semidirect
87. D5×D12C2×C4semidirect
89. #6773C2×C4semidirect
90. #6772C2×C4semidirect
98. D5×Dic6C2×C4semidirect
121. #5005D5semidirect
139. C5×#117C2×D3semidirect
140. C2×C4×Dic5C2×D3semidirect
148. #4018C2×D3semidirect
149. C42×D5C2×D3semidirect
226. C3×#117C2×D5semidirect
233. C2×#208C2×D5semidirect
239. #805C2×D5semidirect
370. #235C4×D5semidirect
374. C2×D12C4×D5semidirect
380. C2×Dic6C4×D5semidirect
472. #117D3×D5semidirect
625. C3×C5#2901semidirect
713. C5#82536semidirect
735. C3#10610723semidirect

Maximal subgroups

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

subgroupindex
#117570222
C3×#658562
#117541202
#117511062
C5×#50052
C2×#909812
C2×#909792
#117471092
D5×#8052
#106107233
#825365