Finite Group Databasebeta

← D5×#63568 #72260132

Subgroups — D5×#63568 #72260132

Order 2880.

788 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×D5×#235C211yesmaximal, characteristic
2C4×D5×C3⋊Dic3C211yesmaximal, characteristic, complemented
3C3×D5×#208C211yesmaximal, characteristic, complemented
4#13084902C211yesmaximal, characteristic, complemented
5#13084855C211yesmaximal, characteristic, complemented
6#13084852C211yesmaximal, characteristic, complemented
7C5×#63568C211yesmaximal, characteristic, complemented
8D5×#837—31nomaximal
9D5×#825—31nomaximal
10C3×#6817C2211yescharacteristic
11C3×C5×#235C2211yescharacteristic
12C2×C32×C4×D5C2211yescharacteristic
13C2×D5×C3⋊Dic3—21no—
14C3×D5×#67—21no—
15C3×#6782—21no—
16C3×D5×D12C411yescharacteristic, complemented
17C3×C4×D3×D5—21no—
18C3×#6773C411yescharacteristic, complemented
19C3×#6772C411yescharacteristic, complemented
20C3×#6771—21no—
21C3×D5×Dic6C411yescharacteristic, complemented
22C4×C3⋊Dic15C2211yescharacteristic, complemented
23C4×C5×C3⋊Dic3C2211yescharacteristic, complemented
24C3×#6710C2211yescharacteristic, complemented
25C3×C5×#208C2211yescharacteristic, complemented
26Dic5×C3⋊Dic3—21no—
27C3×#6649—21no—
28C3×D5×C3⋊C8—21no—
29C2×#63568—51nomaximal, Hall
30C3×D5×#41—31no—
31D5×#235D311yescharacteristic
32C3×D5×M16—31no—
33C4×D5×Dic3—31no—
34C4×D5×Dic3—31no—
35C4×D5×Dic3—61no—
36D5×#208D311yescharacteristic, complemented
37#91121—31no—
38#91109—31no—
39C5×#837—31no—
40C5×#825—31no—
41#90980—31no—
42#90978—31no—
43#90977—31no—
44#90976—31no—
45C22×C32×D5D411yescharacteristic
46C2×C3×D3×D5—21no—
47C2×C32×C4×C5C2311yescharacteristic
48C2×C3⋊Dic15—21no—
49C2×C5×C3⋊Dic3—21no—
50C3×#1220—21no—
51C3×D60C2×C411yescharacteristic, complemented
52C3×C4×D15—21no—
53C3×Dic30C2×C411yescharacteristic, complemented
54C3×C5×#67—21no—
55C3×C5×D12C2×C411yescharacteristic, complemented
56C3×C4×C5×D3—21no—
57C3×C5×Dic6C2×C411yescharacteristic, complemented
58C2×C32×Dic5D411yescharacteristic
59C32×C4×D5C2×C411yescharacteristic
60C32×C4×D5C2×C411yescharacteristic
61C32×C4×D5D411yescharacteristic
62C32×C4×D5D411yescharacteristic
63D5×C3⋊Dic3—24no—
64C3×#1204—21no—
65C3×#1203—21no—
66C3×#1202—21no—
67C3×#1201—21no—
68C3×#1200—21no—
69C3×D3×Dic5—21no—
70C3×D5×Dic3—21no—
71C3×C3⋊#168—21no—
72C3×C5×C3⋊C8—21no—
73D5×#104—91noHall
74C2×C3×#235—51no—
75C2×C4×C3⋊Dic3—51no—
76C2×C3×#208—51no—
77#63568—51no—
78#63568—51no—
79#63568—51no—
80#63568D511yescharacteristic, direct product factor
81C3×C5×#41—31no—
82#6817C2×D311yescharacteristic
83C5×#235C2×D311yescharacteristic
84C3×#713—31no—
85C3×Q8×D5—31no—
86C3×#711—31no—
87C3×#711—61no—
88C3×D4×D5—31no—
89C3×D4×D5—61no—
90C3×#709—31no—
91C3×#709—61no—
92C2×C3×C4×D5—21no—
93C2×C3×C4×D5—61no—
94C2×C3×C4×D5C2×D311yescharacteristic
95C2×C3×C4×D5C2×D311yescharacteristic
96D5×#67—21no—
97#6782—21no—
98C2×D5×Dic3—62no—
99C2×D5×Dic3—61no—
100C2×D5×Dic3—61no—
101D5×D12Dic311yescharacteristic, complemented
102C4×D3×D5—21no—
103#6773Dic311yescharacteristic, complemented
104#6772Dic311yescharacteristic, complemented
105#6771—21no—
106D5×Dic6Dic311yescharacteristic, complemented
107C3×C5×M16—31no—
108C4×Dic15—31no—
109C4×Dic15—31no—
110C4×Dic15—61no—
111#6710C2×D311yescharacteristic, complemented
112C4×C5×Dic3—31no—
113C4×C5×Dic3—31no—
114C4×C5×Dic3—61no—
115C5×#208C2×D311yescharacteristic, complemented
116C3×#681—31no—
117C3×#676—61no—
118C3×C8×D5—61no—
119Dic3×Dic5—62no—
120Dic3×Dic5—61no—
121Dic3×Dic5—61no—
122#6649—21no—
123D5×C3⋊C8—21no—
124C2×#837—151no—
125C2×#825—151no—
126C22×C32×C5C2×D411yescharacteristic
127C2×C3×D15—21no—
128C2×C3×C5×D3—21no—
129C2×C32×D5—22no—
130C2×C32×D5C22⋊C411yescharacteristic
131C2×C32×D5C22⋊C411yescharacteristic
132C3×D3×D5—42no—
133C32×C4×C5C22×C411yescharacteristic
134C32×C4×C5C2×D411yescharacteristic
135C3⋊Dic15—22no—
136C5×C3⋊Dic3—22no—
137C3×Dic15—21no—
138C3×C5×Dic3—21no—
139C32×Dic5C22⋊C411yescharacteristic
140C32×Dic5C22⋊C411yescharacteristic
141D5×#41—31no—
142D5×M16—31no—
143C42×D5—91no—
144C5×#104—91no—
145#3969—91no—
146#3957—91no—
147#3937—91no—
148C22×C32×C4—51no—
149C22×C3⋊Dic3—101no—
150C2×C3×#67—101no—
151C3×#235—51no—
152C3×#235—51no—
153C3×#235—51no—
154C3×#235—101no—
155C3×#235—101no—
156C3×#235C2×D511yescharacteristic
157C2×C3×D12—51no—
158C2×C3×C4×D3—101no—
159C2×C3×Dic6—51no—
160C4×C3⋊Dic3—51no—
161C4×C3⋊Dic3—101no—
162C4×C3⋊Dic3C2×D511yescharacteristic, complemented
163C3×#208—51no—
164C3×#208—101no—
165C3×#208C2×D511yescharacteristic, complemented
166C2×C3×C3⋊C8—101no—
167C22×C3×D5—21no—
168C22×C3×D5—61no—
169C22×C3×D5D1211yescharacteristic
170C22×C3×D5#6711yescharacteristic
171C2×D3×D5—21no—
172C3×C5×Q8—31no—
173C3×C5×D4—31no—
174C3×C5×D4—61no—
175C2×C3×C4×C5—21no—
176C2×C3×C4×C5—61no—
177C2×C3×C4×C5C22×D311yescharacteristic
178C2×C3×C4×C5C22×D311yescharacteristic
179#1220—21no—
180C2×Dic15—62no—
181C2×Dic15—61no—
182C2×Dic15—61no—
183D60C2×Dic311yescharacteristic, complemented
184C4×D15—21no—
185Dic30C2×Dic311yescharacteristic, complemented
186C5×#67—21no—
187C2×C5×Dic3—62no—
188C2×C5×Dic3—61no—
189C2×C5×Dic3—61no—
190C5×D12C2×Dic311yescharacteristic, complemented
191C4×C5×D3—21no—
192C5×Dic6C2×Dic311yescharacteristic, complemented
193C3×C22⋊D5—61no—
194C3×C22⋊D5—61no—
195C3×C22⋊D5—61no—
196C2×C3×Dic5—21no—
197C2×C3×Dic5—61no—
198C2×C3×Dic5D1211yescharacteristic
199C2×C3×Dic5#6711yescharacteristic
200C3×D20—31no—
201C3×D20—61no—
202C3×C4×D5—21no—
203C3×C4×D5—21no—
204C3×C4×D5—21no—
205C3×C4×D5—21no—
206C3×C4×D5—61no—
207C3×C4×D5—61no—
208C3×C4×D5—61no—
209C3×C4×D5C4×D311yescharacteristic
210C3×C4×D5C4×D311yescharacteristic
211C3×C4×D5C2×Dic311yescharacteristic
212C3×C4×D5C2×Dic311yescharacteristic
213C3×C4×D5#6711yescharacteristic
214C3×C4×D5#6711yescharacteristic
215C3×C4×D5#6711yescharacteristic
216C3×C4×D5#6711yescharacteristic
217C3×Dic10—31no—
218C3×Dic10—61no—
219#1204—21no—
220#1203—21no—
221#1202—21no—
222#1201—21no—
223#1200—21no—
224D3×Dic5—21no—
225D5×Dic3—21no—
226D5×Dic3—68no—
227D5×Dic3—64no—
228D5×Dic3—64no—
229C3×C5×C8—61no—
230C3⋊#168—21no—
231C3×#168—61no—
232C5×C3⋊C8—21no—
233C2×C3×#41—151no—
234C2×#235—51no—
235C2×C3×M16—151no—
236C2×C4×Dic3—151no—
237C2×C4×Dic3—151no—
238C2×C4×Dic3—301no—
239C2×#208—51no—
240#837—31no—
241#837—151no—
242#837—151no—
243#837—151no—
244#825—31no—
245#825—151no—
246#825—151no—
247#825—151no—
248C2×C32×C5—21no—
249C2×C32×C5C2×C22⋊C411yescharacteristic
250C3×D15—41no—
251C3×C5×D3—41no—
252C32×D5—21no—
253C32×D5#10412yescomplemented
254C5×#41—31no—
255#713—31no—
256Q8×D5—31no—
257#711—31no—
258#711—61no—
259D4×D5—31no—
260D4×D5—61no—
261#709—31no—
262#709—61no—
263C2×C4×D5—61no—
264C2×C4×D5—181no—
265C2×C4×D5D3211yescharacteristic
266C5×M16—31no—
267C42×C5—91no—
268C4×Dic5—91no—
269C4×Dic5—181no—
270#681—31no—
271#676—61no—
272C8×D5—61no—
273C23×C32—51no—
274C22×C3×D3—101no—
275C2×C32×C4—51no—
276C2×C32×C4—51no—
277C2×C32×C4—51no—
278C2×C32×C4—51no—
279C2×C32×C4—51no—
280C2×C32×C4C22×D511yescharacteristic
281C2×C3⋊Dic3—21no—
282C2×C3⋊Dic3—104no—
283C2×C3⋊Dic3—101no—
284C3×#67—21no—
285C3×#67—101no—
286C3×#67—101no—
287C3×#67—101no—
288C2×C3×Dic3—101no—
289C3×D12—51no—
290C3×D12—101no—
291C3×D12C4×D511yescharacteristic, complemented
292C3×C4×D3—21no—
293C3×C4×D3—101no—
294C3×C4×D3—101no—
295C3×C4×D3—101no—
296C3×Dic6—51no—
297C3×Dic6—101no—
298C3×Dic6C4×D511yescharacteristic, complemented
299C3×C3⋊C8—21no—
300C3×C3⋊C8—101no—
301C2×#104—451noSylow
302C22×C3×C5—21no—
303C22×C3×C5—61no—
304C22×C3×C5C2×D1211yescharacteristic
305C22×C3×C5C2×#6711yescharacteristic
306C2×D15—21no—
307C2×C5×D3—21no—
308C2×C3×D5—24no—
309C2×C3×D5—22no—
310C2×C3×D5—22no—
311C2×C3×D5—21no—
312C2×C3×D5—21no—
313C2×C3×D5—61no—
314C2×C3×D5—122no—
315C2×C3×D5(C2×D3)⋊C411yescharacteristic
316C2×C3×D5(C2×D3)⋊C411yescharacteristic
317C2×C3×D5#21711yescharacteristic
318C2×C3×D5#21711yescharacteristic
319D3×D5—42no—
320C3×C4×C5—21no—
321C3×C4×C5—21no—
322C3×C4×C5—61no—
323C3×C4×C5C2×C4×D311yescharacteristic
324C3×C4×C5C22×Dic311yescharacteristic
325C3×C4×C5C2×#6711yescharacteristic
326C3×C4×C5C2×#6711yescharacteristic
327Dic15—21no—
328Dic15—64no—
329Dic15—62no—
330Dic15—62no—
331C3×Dic5—21no—
332C3×Dic5—21no—
333C3×Dic5—61no—
334C3×Dic5(C2×D3)⋊C411yescharacteristic
335C3×Dic5(C2×D3)⋊C411yescharacteristic
336C3×Dic5#21711yescharacteristic
337C3×Dic5#21711yescharacteristic
338C5×Dic3—21no—
339C5×Dic3—64no—
340C5×Dic3—62no—
341C5×Dic3—62no—
342C3×#41—31no—
343C3×#41—151no—
344C3×#41—151no—
345C3×#41—151no—
346C3×#41—301no—
347C3×#41—301no—
348C2×C3×Q8—151no—
349C2×C3×D4—151no—
350C2×C3×D4—301no—
351C22×C3×C4—51no—
352C22×C3×C4—51no—
353C22×C3×C4—101no—
354C22×C3×C4—301no—
355C2×#67—101no—
356C22×Dic3—301no—
357C22×Dic3—301no—
358C22×Dic3—302no—
359#235—51no—
360#235—51no—
361#235—51no—
362#235—101no—
363#235—101no—
364#235D3×D511yescharacteristic
365C2×D12—51no—
366C2×C4×D3—101no—
367C2×Dic6—51no—
368C3×M16—31no—
369C3×M16—151no—
370C3×M16—301no—
371C2×C3×C8—301no—
372C4×Dic3—31no—
373C4×Dic3—31no—
374C4×Dic3—61no—
375C4×Dic3—151no—
376C4×Dic3—151no—
377C4×Dic3—301no—
378C4×Dic3—301no—
379C4×Dic3—301no—
380C4×Dic3—302no—
381#208—51no—
382#208—101no—
383#208D3×D511yescharacteristic, complemented
384C2×C3⋊C8—101no—
385C32×C5C2×#10411yescharacteristic, complemented, Hall
386C22×D5—61no—
387C22×D5#62611yescharacteristic
388C5×Q8—31no—
389C5×D4—31no—
390C5×D4—61no—
391C2×C4×C5—61no—
392C2×C4×C5—181no—
393C2×C4×C5C2×D3211yescharacteristic
394C22⋊D5—61no—
395C22⋊D5—61no—
396C22⋊D5—61no—
397C2×Dic5—61no—
398C2×Dic5—181no—
399C2×Dic5#62611yescharacteristic
400D20—31no—
401D20—61no—
402C4×D5—61no—
403C4×D5—61no—
404C4×D5—61no—
405C4×D5—184no—
406C4×D5D3×Dic311yescharacteristic
407C4×D5D3×Dic311yescharacteristic
408C4×D5#62511yescharacteristic
409C4×D5#62511yescharacteristic
410Dic10—31no—
411Dic10—61no—
412C5×C8—61no—
413#168—61no—
414C22×C32—51no—
415C22×C32—51no—
416C22×C32—102no—
417C22×C32D4×D511yescharacteristic
418C2×C3×D3—21no—
419C2×C3×D3—101no—
420C2×C3×D3—202no—
421C32×C4—51no—
422C32×C4—51no—
423C32×C4C2×C4×D511yescharacteristic
424C32×C4D4×D511yescharacteristic
425C3⋊Dic3—22no—
426C3⋊Dic3—102no—
427C3×Dic3—21no—
428C3×Dic3—101no—
429C2×#41—151no—
430C2×M16—151no—
431C2×C42—451no—
432#104—91no—
433#104—451no—
434#104—451no—
435#104—451no—
436C2×C3×C5—22no—
437C2×C3×C5—21no—
438C2×C3×C5—21no—
439C2×C3×C5—21no—
440C2×C3×C5—121no—
441C2×C3×C5C2×(C2×D3)⋊C411yescharacteristic
442C2×C3×C5C2×#21711yescharacteristic
443D15—41no—
444C3×D5—22no—
445C3×D5—21no—
446C3×D5—21no—
447C3×D5—22no—
448C3×D5—121no—
449C3×D5#82512yescomplemented
450C3×D5#83712yescomplemented
451C5×D3—41no—
452C23×C3—51no—
453C23×C3—51no—
454C23×C3—101no—
455C23×C3—301no—
456C22×D3—101no—
457C3×Q8—31no—
458C3×Q8—151no—
459C3×Q8—301no—
460C3×D4—31no—
461C3×D4—61no—
462C3×D4—151no—
463C3×D4—301no—
464C3×D4—301no—
465C3×D4—301no—
466C3×D4—301no—
467C2×C3×C4—21no—
468C2×C3×C4—51no—
469C2×C3×C4—51no—
470C2×C3×C4—51no—
471C2×C3×C4—51no—
472C2×C3×C4—51no—
473C2×C3×C4—51no—
474C2×C3×C4—51no—
475C2×C3×C4—51no—
476C2×C3×C4—51no—
477C2×C3×C4—51no—
478C2×C3×C4—61no—
479C2×C3×C4—101no—
480C2×C3×C4—101no—
481C2×C3×C4—101no—
482C2×C3×C4—101no—
483C2×C3×C4—101no—
484C2×C3×C4—301no—
485C2×C3×C4—301no—
486C2×C3×C4—301no—
487C2×C3×C4—301no—
488C2×C3×C4C2×D3×D511yescharacteristic
489C2×C3×C4C2×D3×D511yescharacteristic
490#67—21no—
491#67—101no—
492#67—101no—
493#67—101no—
494C2×Dic3—62no—
495C2×Dic3—61no—
496C2×Dic3—61no—
497C2×Dic3—101no—
498C2×Dic3—304no—
499C2×Dic3—304no—
500C2×Dic3—308no—
501C2×Dic3—302no—
502C2×Dic3—301no—
503C2×Dic3—301no—
504D12—51no—
505D12—101no—
506D12D5×Dic311yescharacteristic, complemented
507C4×D3—21no—
508C4×D3—101no—
509C4×D3—101no—
510C4×D3—101no—
511Dic6—51no—
512Dic6—101no—
513Dic6D5×Dic311yescharacteristic, complemented
514C3×C8—61no—
515C3×C8—301no—
516C3⋊C8—21no—
517C3⋊C8—101no—
518C22×C5—61no—
519C22×C5C2×#62611yescharacteristic
520C2×D5—22no—
521C2×D5—61no—
522C2×D5—122no—
523C2×D5(C2×D3)⋊Dic311yescharacteristic
524C2×D5(C2×D3)⋊Dic311yescharacteristic
525C4×C5—61no—
526C4×C5—182no—
527C4×C5C2×D3×Dic311yescharacteristic
528C4×C5C2×#62511yescharacteristic
529Dic5—61no—
530Dic5—182no—
531Dic5(C2×D3)⋊Dic311yescharacteristic
532Dic5(C2×D3)⋊Dic311yescharacteristic
533C2×C32—21no—
534C2×C32—52no—
535C2×C32—101no—
536C2×C32D5×C22⋊C411yescharacteristic
537C3×D3—41no—
538C3×D3—201no—
539#41—31no—
540#41—151no—
541#41—151no—
542#41—151no—
543#41—301no—
544#41—301no—
545C2×Q8—151no—
546C2×D4—151no—
547C2×D4—301no—
548C22×C4—51no—
549C22×C4—301no—
550C22×C4—901no—
551M16—31no—
552M16—151no—
553M16—301no—
554C2×C8—301no—
555C42—91no—
556C42—451no—
557C42—901no—
558C3×C5—21no—
559C3×C5C2×#82511yescharacteristic, complemented
560C3×C5C2×#83711yescharacteristic, complemented
561C22×C3—21no—
562C22×C3—51no—
563C22×C3—51no—
564C22×C3—51no—
565C22×C3—51no—
566C22×C3—61no—
567C22×C3—101no—
568C22×C3—101no—
569C22×C3—102no—
570C22×C3—102no—
571C22×C3—104no—
572C22×C3—301no—
573C22×C3—602no—
574C22×C3D5×D1211yescharacteristic
575C22×C3D5×#6711yescharacteristic
576C2×D3—21no—
577C2×D3—101no—
578C2×D3—202no—
579C3×C4—21no—
580C3×C4—21no—
581C3×C4—51no—
582C3×C4—51no—
583C3×C4—51no—
584C3×C4—51no—
585C3×C4—61no—
586C3×C4—101no—
587C3×C4—101no—
588C3×C4—301no—
589C3×C4C4×D3×D511yescharacteristic
590C3×C4C2×D5×Dic311yescharacteristic
591C3×C4D5×#6711yescharacteristic
592C3×C4D5×#6711yescharacteristic
593Dic3—21no—
594Dic3—64no—
595Dic3—62no—
596Dic3—62no—
597Dic3—101no—
598Dic3—304no—
599Dic3—302no—
600Dic3—302no—
601C2×C5—21no—
602C2×C5—121no—
603C2×C5C2×(C2×D3)⋊Dic311yescharacteristic
604D5—21no—
605D5—121no—
606D5#6356812yesdirect product factor
607C32D5×#10411yescharacteristic, complemented, Sylow
608C23—51no—
609C23—301no—
610Q8—31no—
611Q8—151no—
612Q8—301no—
613D4—31no—
614D4—61no—
615D4—151no—
616D4—301no—
617D4—301no—
618D4—301no—
619D4—301no—
620C2×C4—51no—
621C2×C4—51no—
622C2×C4—51no—
623C2×C4—51no—
624C2×C4—51no—
625C2×C4—61no—
626C2×C4—181no—
627C2×C4—301no—
628C2×C4—301no—
629C2×C4—301no—
630C2×C4—301no—
631C2×C4—904no—
632C2×C4—901no—
633C2×C4D32×D511yescharacteristic
634C8—61no—
635C8—301no—
636C2×C3—22no—
637C2×C3—21no—
638C2×C3—21no—
639C2×C3—21no—
640C2×C3—52no—
641C2×C3—52no—
642C2×C3—102no—
643C2×C3—102no—
644C2×C3—101no—
645C2×C3—101no—
646C2×C3—121no—
647C2×C3—601no—
648C2×C3D5×(C2×D3)⋊C411yescharacteristic
649C2×C3D5×#21711yescharacteristic
650D3—41no—
651D3—201no—
652C5C2×#6356811yescharacteristic, complemented, Sylow
653C22—51no—
654C22—51no—
655C22—61no—
656C22—102no—
657C22—301no—
658C22—602no—
659C22D5×#62611yescharacteristic
660C4—51no—
661C4—51no—
662C4—61no—
663C4—182no—
664C4—301no—
665C4—902no—
666C4D3×D5×Dic311yescharacteristic
667C4D5×#62511yescharacteristic
668C3—21no—
669C3D5×#82511yescharacteristic, complemented
670C3D5×#83711yescharacteristic, complemented
671C2—21no—
672C2—52no—
673C2—101no—
674C2—121no—
675C2—601no—
676C2D5×(C2×D3)⋊Dic311yescharacteristic
subgroupG/H
centerC4D5×#625
commutatorC32×C4×C5C22×C4
Frattini, hypercenterC2×C4D32×D5
Fitting, cosocleC2×C32×C4×C5C23
socleC2×C32×C5C2×C22⋊C4
prime radicalC3×D5×#235C2
hypocenterC32×C5C2×#104
LCSG ▷ C32×C4×C5 ▷ C2×C32×C5 ▷ C32×C5
UCSC1 ◁ C4 ◁ C2×C4

Complements

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

NH ≅ G/Ntype
2. C4×D5×C3⋊Dic3C2semidirect
3. C3×D5×#208C2semidirect
4. #13084902C2semidirect
5. #13084855C2semidirect
6. #13084852C2semidirect
7. C5×#63568C2semidirect
16. C3×D5×D12C4semidirect
18. C3×#6773C4semidirect
19. C3×#6772C4semidirect
21. C3×D5×Dic6C4semidirect
22. C4×C3⋊Dic15C22semidirect
23. C4×C5×C3⋊Dic3C22semidirect
24. C3×#6710C22semidirect
25. C3×C5×#208C22semidirect
36. D5×#208D3semidirect
51. C3×D60C2×C4semidirect
53. C3×Dic30C2×C4semidirect
55. C3×C5×D12C2×C4semidirect
57. C3×C5×Dic6C2×C4semidirect
80. #63568D5direct (N × H)
101. D5×D12Dic3semidirect
103. #6773Dic3semidirect
104. #6772Dic3semidirect
106. D5×Dic6Dic3semidirect
111. #6710C2×D3semidirect
115. C5×#208C2×D3semidirect
162. C4×C3⋊Dic3C2×D5semidirect
165. C3×#208C2×D5semidirect
183. D60C2×Dic3semidirect
185. Dic30C2×Dic3semidirect
190. C5×D12C2×Dic3semidirect
192. C5×Dic6C2×Dic3semidirect
253. C32×D5#104semidirect
291. C3×D12C4×D5semidirect
298. C3×Dic6C4×D5semidirect
383. #208D3×D5semidirect
385. C32×C5C2×#104semidirect
449. C3×D5#825semidirect
450. C3×D5#837semidirect
506. D12D5×Dic3semidirect
513. Dic6D5×Dic3semidirect
559. C3×C5C2×#825semidirect
560. C3×C5C2×#837semidirect
606. D5#63568direct (N × H)
607. C32D5×#104semidirect
652. C5C2×#63568semidirect
669. C3D5×#825semidirect
670. C3D5×#837semidirect

Maximal subgroups

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

subgroupindex
C3×D5×#2352
C4×D5×C3⋊Dic32
C3×D5×#2082
#130849022
#130848552
#130848522
C5×#635682
D5×#8373
D5×#8253
C2×#635685