Finite Group Databasebeta

← C3×D5×#476 #14429860

Subgroups — C3×D5×#476 #14429860

Order 1920.

960 conjugacy classes of subgroups.

The subgroup lattice has 592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×D5×C4⋊Q8C211yesmaximal, characteristic, complemented
2C3×C4×D4×D5C211yesmaximal, characteristic
3C3×C5×#476C211yesmaximal, characteristic, complemented
4C3×#65373C211yesmaximal, characteristic, complemented
5C3×#65297C211yesmaximal, characteristic, complemented
6C3×#65159C212yesmaximal, complemented
7C3×D5×#106C212yesmaximal, complemented
8C3×#65131C211yesmaximal, characteristic, complemented
9C3×D5×C4⋊C8C211yesmaximal, characteristic, complemented
10C3×D5×#102C212yesmaximal
11C3×#65050C212yesmaximal, complemented
12D5×#476C311yesmaximal, characteristic, direct product factor, Hall
13C2×C3×Q8×D5—21no—
14C2×C3×D4×D5C2211yescharacteristic
15C22×C3×C4×D5—21no—
16C3×C5×C4⋊Q8C2211yescharacteristic, complemented
17C3×C4×C5×D4C2211yescharacteristic
18C3×#4090—21no—
19C3×D4×Dic5C2211yescharacteristic
20C3×C4×C22⋊D5—21no—
21C2×C3×C8×D5C2212yes—
22C3×#4039C2211yescharacteristic
23C3×D5×C4⋊C4—21no—
24C3×D5×C4⋊C4C2212yes—
25C3×D5×C4⋊C4C2211yescharacteristic
26C3×#4034—21no—
27C3×#4034C2212yescomplemented
28C3×#4027—21no—
29C3×D5×C22⋊C4—21no—
30C3×C4×D20C2211yescharacteristic
31C3×C42×D5C2211yescharacteristic
32C3×#4015C2211yescharacteristic, complemented
33C3×C5×#106C2212yescomplemented
34C3×C5×C4⋊C8C2211yescharacteristic, complemented
35C3×C5×#102C2212yes—
36C3×#3964C2212yes—
37C3×#3953C2212yes—
38C3×#3949C2212yescomplemented
39C3×#3946C2212yescomplemented
40C3×#3941C2212yes—
41C3×#3940C2212yescomplemented
42C3×#3940C2212yescomplemented
43C3×C4⋊#168C2211yescharacteristic, complemented
44C2×C3×#476—51nomaximal, Hall
45D5×C4⋊Q8C2×C311yescharacteristic, complemented
46C4×D4×D5C2×C311yescharacteristic
47C5×#476C2×C311yescharacteristic, complemented
48#65373C2×C311yescharacteristic, complemented
49#65297C2×C311yescharacteristic, complemented
50#65159C2×C312yescomplemented
51D5×#106C2×C312yescomplemented
52#65131C2×C311yescharacteristic, complemented
53D5×C4⋊C8C2×C311yescharacteristic, complemented
54D5×#102C2×C312yes—
55#65050C2×C312yescomplemented
56C23×C3×D5—21no—
57C2×C3×C5×Q8—21no—
58C2×C3×C5×D4C2311yescharacteristic
59C22×C3×C4×C5—21no—
60C2×C3×C22⋊D5—21no—
61C22×C3×Dic5—21no—
62C3×Q8×D5—44no—
63C3×D4×D5—22no—
64C3×D4×D5Q814yescomplemented
65C2×C3×D20C2311yescharacteristic
66C2×C3×C4×D5—21no—
67C2×C3×C4×D5—22no—
68C2×C3×C4×D5—21no—
69C2×C3×C4×D5—21no—
70C2×C3×C4×D5—44no—
71C2×C3×C4×D5D411yescharacteristic
72C2×C3×C4×D5D411yescharacteristic
73C2×C3×C4×D5C2311yescharacteristic
74C2×C3×Dic10—21no—
75C2×C3×Dic10—22no—
76C2×C3×C5×C8C2312yes—
77C3×C5×C4⋊C4—21no—
78C3×C5×C4⋊C4C2311yescharacteristic
79C3×C5×C4⋊C4C2312yes—
80C3×C5×C22⋊C4—21no—
81C3×C42×C5C2311yescharacteristic
82C3×C22⋊Dic5—21no—
83C3×#685—21no—
84C3×#685—21no—
85C3×C4⋊Dic5—21no—
86C3×C4⋊Dic5C2311yescharacteristic
87C3×C4⋊Dic5C2312yes—
88C3×#683—22no—
89C3×#683—22no—
90C3×#683—21no—
91C3×C4×Dic5D411yescharacteristic
92C3×C4×Dic5D411yescharacteristic
93C3×C4×Dic5C2311yescharacteristic
94C2×C3×#168C2312yes—
95C3×C8×D5—24no—
96C2×C3×C4⋊Q8—51no—
97C2×C3×C4×D4—51no—
98C3×#476—51no—
99C3×#476—51no—
100C3×#476—52no—
101C3×#476—51no—
102C3×#476—52no—
103C3×#476D511yescharacteristic, direct product factor
104C2×C3×#106—52no—
105C2×C3×C4⋊C8—51no—
106C2×C3×#102—52no—
107C2×Q8×D5—21no—
108C2×D4×D5C22×C311yescharacteristic
109C22×C4×D5—21no—
110C5×C4⋊Q8C22×C311yescharacteristic, complemented
111C4×C5×D4C22×C311yescharacteristic
112#4090—21no—
113D4×Dic5C22×C311yescharacteristic
114C4×C22⋊D5—21no—
115C2×C8×D5C22×C312yes—
116#4039C22×C311yescharacteristic
117D5×C4⋊C4—21no—
118D5×C4⋊C4C22×C312yes—
119D5×C4⋊C4C22×C311yescharacteristic
120#4034—21no—
121#4034C22×C312yescomplemented
122#4027—21no—
123D5×C22⋊C4—21no—
124C4×D20C22×C311yescharacteristic
125C42×D5C22×C311yescharacteristic
126#4015C22×C311yescharacteristic, complemented
127C5×#106C22×C312yescomplemented
128C5×C4⋊C8C22×C311yescharacteristic, complemented
129C5×#102C22×C312yes—
130#3964C22×C312yes—
131#3953C22×C312yes—
132#3949C22×C312yescomplemented
133#3946C22×C312yescomplemented
134#3941C22×C312yes—
135#3940C22×C312yescomplemented
136#3940C22×C312yescomplemented
137C4⋊#168C22×C311yescharacteristic, complemented
138C2×#476—51noSylow
139C23×C3×C5—21no—
140C22×C3×D5—21no—
141C22×C3×D5—24no—
142C22×C3×D5—42no—
143C22×C3×D5—42no—
144C22×C3×D5C2×D411yescharacteristic
145C3×C5×Q8—42no—
146C3×C5×D4—21no—
147C3×C5×D4C2×Q812yescomplemented
148C2×C3×C4×C5—22no—
149C2×C3×C4×C5—21no—
150C2×C3×C4×C5—42no—
151C2×C3×C4×C5C2×D411yescharacteristic
152C2×C3×C4×C5C2×D411yescharacteristic
153C2×C3×C4×C5C2411yescharacteristic
154C3×C22⋊D5—24no—
155C2×C3×Dic5—22no—
156C2×C3×Dic5—21no—
157C2×C3×Dic5—42no—
158C2×C3×Dic5C2×D411yescharacteristic
159C2×C3×Dic5C2×D411yescharacteristic
160C2×C3×Dic5C2×D411yescharacteristic
161C3×D20—21no—
162C3×D20C2×Q812yescomplemented
163C3×C4×D5—22no—
164C3×C4×D5—42no—
165C3×C4×D5—44no—
166C3×C4×D5—42no—
167C3×C4×D5—42no—
168C3×C4×D5SD1614yes—
169C3×C4×D5C2×Q812yes—
170C3×C4×D5#4112yes—
171C3×Dic10—44no—
172C3×Dic10—42no—
173C3×C5×C8—22no—
174C3×#168—22no—
175C22×C3×Q8—101no—
176C22×C3×D4—51no—
177C23×C3×C4—101no—
178C22×C3×C8—52no—
179C3×C4⋊Q8—52no—
180C3×C4⋊Q8—51no—
181C3×C4⋊Q8—101no—
182C3×C4⋊Q8—101no—
183C3×C4⋊Q8C2×D511yescharacteristic, complemented
184C3×C4×D4—51no—
185C3×C4×D4—51no—
186C3×C4×D4—51no—
187C3×C4×D4—101no—
188C3×C4×D4—101no—
189C3×C4×D4C2×D511yescharacteristic
190C2×C3×C4⋊C4—52no—
191C2×C3×C4⋊C4—51no—
192C2×C3×C4⋊C4—101no—
193C2×C3×C22⋊C4—101no—
194C2×C3×C42—51no—
195C3×#106—52no—
196C3×#106—52no—
197C3×#106—52no—
198C3×#106C2×D512yescomplemented
199C3×C4⋊C8—52no—
200C3×C4⋊C8—51no—
201C3×C4⋊C8C2×D511yescharacteristic, complemented
202C3×#102—52no—
203C3×#102—52no—
204C3×#102—52no—
205C3×#102C2×D512yes—
206C23×D5—21no—
207C2×C5×Q8—21no—
208C2×C5×D4C23×C311yescharacteristic
209C22×C4×C5—21no—
210C2×C22⋊D5—21no—
211C22×Dic5—21no—
212Q8×D5—44no—
213D4×D5—22no—
214D4×D5C3×Q814yescomplemented
215C2×D20C23×C311yescharacteristic
216C2×C4×D5—21no—
217C2×C4×D5—22no—
218C2×C4×D5—21no—
219C2×C4×D5—21no—
220C2×C4×D5—44no—
221C2×C4×D5C3×D411yescharacteristic
222C2×C4×D5C3×D411yescharacteristic
223C2×C4×D5C23×C311yescharacteristic
224C2×Dic10—21no—
225C2×Dic10—22no—
226C2×C5×C8C23×C312yes—
227C5×C4⋊C4—21no—
228C5×C4⋊C4C23×C311yescharacteristic
229C5×C4⋊C4C23×C312yes—
230C5×C22⋊C4—21no—
231C42×C5C23×C311yescharacteristic
232C22⋊Dic5—21no—
233#685—21no—
234#685—21no—
235C4⋊Dic5—21no—
236C4⋊Dic5C23×C311yescharacteristic
237C4⋊Dic5C23×C312yes—
238#683—21no—
239#683—22no—
240#683—22no—
241C4×Dic5C3×D411yescharacteristic
242C4×Dic5C3×D411yescharacteristic
243C4×Dic5C23×C311yescharacteristic
244C2×#168C23×C312yes—
245C8×D5—24no—
246C2×C4⋊Q8—51no—
247C2×C4×D4—51no—
248#476—51no—
249#476—51no—
250#476—52no—
251#476—51no—
252#476—52no—
253#476C3×D511yescharacteristic, direct product factor
254C2×#106—52no—
255C2×C4⋊C8—51no—
256C2×#102—52no—
257C22×C3×C5—22no—
258C22×C3×C5—41no—
259C22×C3×C5—41no—
260C22×C3×C5C22×D411yescharacteristic
261C2×C3×D5—22no—
262C2×C3×D5—41no—
263C2×C3×D5—41no—
264C2×C3×D5—48no—
265C2×C3×D5C22⋊Q812yes—
266C2×C3×D5C2×SD1612yes—
267C2×C3×D5AGL(1,ℤ/8)12yes—
268C3×C4×C5—21no—
269C3×C4×C5—41no—
270C3×C4×C5—42no—
271C3×C4×C5C2×SD1612yes—
272C3×C4×C5C22×Q811yescharacteristic
273C3×C4×C5C2×#4111yescharacteristic
274C3×Dic5—21no—
275C3×Dic5—41no—
276C3×Dic5—42no—
277C3×Dic5C22⋊Q812yes—
278C3×Dic5C2×SD1612yes—
279C24×C3—101no—
280C2×C3×Q8—21no—
281C2×C3×Q8—102no—
282C2×C3×Q8—101no—
283C2×C3×Q8—204no—
284C2×C3×D4—54no—
285C2×C3×D4—51no—
286C2×C3×D4—102no—
287C2×C3×D4—101no—
288C2×C3×D4C22×D511yescharacteristic
289C22×C3×C4—21no—
290C22×C3×C4—51no—
291C22×C3×C4—51no—
292C22×C3×C4—51no—
293C22×C3×C4—101no—
294C22×C3×C4—101no—
295C22×C3×C4—102no—
296C22×C3×C4—101no—
297C22×C3×C4—101no—
298C22×C3×C4—204no—
299C2×C3×C8—52no—
300C2×C3×C8—104no—
301C2×C3×C8C22×D512yes—
302C3×C4⋊C4—21no—
303C3×C4⋊C4—52no—
304C3×C4⋊C4—51no—
305C3×C4⋊C4—101no—
306C3×C4⋊C4—102no—
307C3×C4⋊C4—102no—
308C3×C4⋊C4—101no—
309C3×C4⋊C4C22×D512yes—
310C3×C4⋊C4C22×D511yescharacteristic
311C3×C22⋊C4—21no—
312C3×C22⋊C4—101no—
313C3×C22⋊C4—101no—
314C3×C22⋊C4—101no—
315C3×C42—51no—
316C3×C42—51no—
317C3×C42—51no—
318C3×C42C22×D511yescharacteristic
319C23×C5—21no—
320C22×D5—21no—
321C22×D5—24no—
322C22×D5—42no—
323C22×D5—42no—
324C22×D5C2×C3×D411yescharacteristic
325C5×Q8—42no—
326C5×D4—21no—
327C5×D4C2×C3×Q812yescomplemented
328C2×C4×C5—22no—
329C2×C4×C5—21no—
330C2×C4×C5—42no—
331C2×C4×C5C2×C3×D411yescharacteristic
332C2×C4×C5C2×C3×D411yescharacteristic
333C2×C4×C5C24×C311yescharacteristic
334C22⋊D5—24no—
335C2×Dic5—22no—
336C2×Dic5—21no—
337C2×Dic5—42no—
338C2×Dic5C2×C3×D411yescharacteristic
339C2×Dic5C2×C3×D411yescharacteristic
340C2×Dic5C2×C3×D411yescharacteristic
341D20—21no—
342D20C2×C3×Q812yescomplemented
343C4×D5—22no—
344C4×D5—42no—
345C4×D5—44no—
346C4×D5—42no—
347C4×D5—42no—
348C4×D5C3×SD1614yes—
349C4×D5C2×C3×Q812yes—
350C4×D5C3×#4112yes—
351Dic10—44no—
352Dic10—42no—
353C5×C8—22no—
354#168—22no—
355C22×Q8—101no—
356C22×D4—51no—
357C23×C4—101no—
358C22×C8—52no—
359C4⋊Q8—52no—
360C4⋊Q8—51no—
361C4⋊Q8—101no—
362C4⋊Q8—101no—
363C4⋊Q8C2×C3×D511yescharacteristic, complemented
364C4×D4—51no—
365C4×D4—51no—
366C4×D4—51no—
367C4×D4—101no—
368C4×D4—101no—
369C4×D4C2×C3×D511yescharacteristic
370C2×C4⋊C4—51no—
371C2×C4⋊C4—52no—
372C2×C4⋊C4—101no—
373C2×C22⋊C4—101no—
374C2×C42—51no—
375#106—52no—
376#106—52no—
377#106—52no—
378#106C2×C3×D512yescomplemented
379C4⋊C8—52no—
380C4⋊C8—51no—
381C4⋊C8C2×C3×D511yescharacteristic, complemented
382#102—52no—
383#102—52no—
384#102—52no—
385#102C2×C3×D512yes—
386C2×C3×C5—42no—
387C2×C3×C5C2×C22⋊Q811yescharacteristic
388C2×C3×C5C22×SD1611yescharacteristic
389C2×C3×C5C2×AGL(1,ℤ/8)11yescharacteristic
390C3×D5—42no—
391C3×D5#47614yesdirect product factor
392C23×C3—21no—
393C23×C3—51no—
394C23×C3—104no—
395C23×C3—101no—
396C23×C3—202no—
397C23×C3—202no—
398C3×Q8—42no—
399C3×Q8—202no—
400C3×Q8—204no—
401C3×D4—21no—
402C3×D4—52no—
403C3×D4—104no—
404C3×D4—101no—
405C3×D4Q8×D512yescomplemented
406C2×C3×C4—21no—
407C2×C3×C4—22no—
408C2×C3×C4—42no—
409C2×C3×C4—51no—
410C2×C3×C4—51no—
411C2×C3×C4—52no—
412C2×C3×C4—52no—
413C2×C3×C4—54no—
414C2×C3×C4—51no—
415C2×C3×C4—102no—
416C2×C3×C4—101no—
417C2×C3×C4—102no—
418C2×C3×C4—202no—
419C2×C3×C4—202no—
420C2×C3×C4—204no—
421C2×C3×C4—202no—
422C2×C3×C4—202no—
423C2×C3×C4D4×D511yescharacteristic
424C2×C3×C4D4×D511yescharacteristic
425C2×C3×C4C23×D511yescharacteristic
426C3×C8—22no—
427C3×C8—102no—
428C22×C5—22no—
429C22×C5—41no—
430C22×C5—41no—
431C22×C5C22×C3×D411yescharacteristic
432C2×D5—22no—
433C2×D5—41no—
434C2×D5—41no—
435C2×D5—48no—
436C2×D5C3×C22⋊Q812yes—
437C2×D5C2×C3×SD1612yes—
438C2×D5C3×AGL(1,ℤ/8)12yes—
439C4×C5—21no—
440C4×C5—41no—
441C4×C5—42no—
442C4×C5C2×C3×SD1612yes—
443C4×C5C22×C3×Q811yescharacteristic
444C4×C5C2×C3×#4111yescharacteristic
445Dic5—21no—
446Dic5—41no—
447Dic5—42no—
448Dic5C3×C22⋊Q812yes—
449Dic5C2×C3×SD1612yes—
450C24—101no—
451C2×Q8—21no—
452C2×Q8—102no—
453C2×Q8—101no—
454C2×Q8—204no—
455C2×D4—54no—
456C2×D4—51no—
457C2×D4—102no—
458C2×D4—101no—
459C2×D4C22×C3×D511yescharacteristic
460C22×C4—21no—
461C22×C4—51no—
462C22×C4—51no—
463C22×C4—51no—
464C22×C4—101no—
465C22×C4—101no—
466C22×C4—102no—
467C22×C4—101no—
468C22×C4—101no—
469C22×C4—204no—
470C2×C8—52no—
471C2×C8—104no—
472C2×C8C22×C3×D512yes—
473C4⋊C4—21no—
474C4⋊C4—52no—
475C4⋊C4—51no—
476C4⋊C4—101no—
477C4⋊C4—102no—
478C4⋊C4—102no—
479C4⋊C4—101no—
480C4⋊C4C22×C3×D512yes—
481C4⋊C4C22×C3×D511yescharacteristic
482C22⋊C4—21no—
483C22⋊C4—101no—
484C22⋊C4—101no—
485C22⋊C4—101no—
486C42—51no—
487C42—51no—
488C42—51no—
489C42C22×C3×D511yescharacteristic
490C3×C5C2×#47611yescharacteristic, complemented, Hall
491C22×C3—22no—
492C22×C3—41no—
493C22×C3—41no—
494C22×C3—52no—
495C22×C3—52no—
496C22×C3—52no—
497C22×C3—102no—
498C22×C3—208no—
499C22×C3—201no—
500C22×C3—201no—
501C22×C3C2×D4×D511yescharacteristic
502C3×C4—21no—
503C3×C4—41no—
504C3×C4—42no—
505C3×C4—52no—
506C3×C4—52no—
507C3×C4—101no—
508C3×C4—201no—
509C3×C4—202no—
510C3×C4D5×SD1612yes—
511C3×C4C2×Q8×D511yescharacteristic
512C3×C4D5×#4111yescharacteristic
513C2×C5—42no—
514C2×C5C2×C3×C22⋊Q811yescharacteristic
515C2×C5C22×C3×SD1611yescharacteristic
516C2×C5C2×C3×AGL(1,ℤ/8)11yescharacteristic
517D5—42no—
518D5C3×#47614yesdirect product factor
519C23—21no—
520C23—51no—
521C23—104no—
522C23—101no—
523C23—202no—
524C23—202no—
525Q8—42no—
526Q8—202no—
527Q8—204no—
528D4—21no—
529D4—52no—
530D4—104no—
531D4—101no—
532D4C3×Q8×D512yescomplemented
533C2×C4—21no—
534C2×C4—22no—
535C2×C4—42no—
536C2×C4—51no—
537C2×C4—51no—
538C2×C4—52no—
539C2×C4—52no—
540C2×C4—54no—
541C2×C4—51no—
542C2×C4—102no—
543C2×C4—101no—
544C2×C4—102no—
545C2×C4—202no—
546C2×C4—202no—
547C2×C4—204no—
548C2×C4—202no—
549C2×C4—202no—
550C2×C4C3×D4×D511yescharacteristic
551C2×C4C3×D4×D511yescharacteristic
552C2×C4C23×C3×D511yescharacteristic
553C8—22no—
554C8—102no—
555C2×C3—42no—
556C2×C3—54no—
557C2×C3—202no—
558C2×C3D5×C22⋊Q811yescharacteristic
559C2×C3C2×D5×SD1611yescharacteristic
560C2×C3D5×AGL(1,ℤ/8)11yescharacteristic
561C5C2×C3×#47611yescharacteristic, complemented, Sylow
562C22—22no—
563C22—41no—
564C22—41no—
565C22—52no—
566C22—52no—
567C22—52no—
568C22—102no—
569C22—208no—
570C22—201no—
571C22—201no—
572C22C2×C3×D4×D511yescharacteristic
573C4—21no—
574C4—42no—
575C4—41no—
576C4—52no—
577C4—52no—
578C4—101no—
579C4—202no—
580C4—201no—
581C4C3×D5×SD1612yes—
582C4C2×C3×Q8×D511yescharacteristic
583C4C3×D5×#4111yescharacteristic
584C3D5×#47611yescharacteristic, direct product factor, Sylow
585C2—42no—
586C2—54no—
587C2—202no—
588C2C3×D5×C22⋊Q811yescharacteristic
589C2C2×C3×D5×SD1611yescharacteristic
590C2C3×D5×AGL(1,ℤ/8)11yescharacteristic
subgroupG/H
centerC22×C3C2×D4×D5
commutator, cosocleC2×C4×C5C24×C3
FrattiniC2×C4C23×C3×D5
FittingC3×C5×#476C2
socleC22×C3×C5C22×D4
prime radicalC2×C3×D4×D5C22
hypercenterC3×#476D5
hypocenterC5C2×C3×#476
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C22×C3 ◁ C3×C42 ◁ C3×#476

Complements

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

NH ≅ G/Ntype
1. C3×D5×C4⋊Q8C2semidirect
3. C3×C5×#476C2semidirect
4. C3×#65373C2semidirect
5. C3×#65297C2semidirect
6. C3×#65159C2semidirect
7. C3×D5×#106C2semidirect
8. C3×#65131C2semidirect
9. C3×D5×C4⋊C8C2semidirect
11. C3×#65050C2semidirect
12. D5×#476C3direct (N × H)
16. C3×C5×C4⋊Q8C22semidirect
27. C3×#4034C22semidirect
32. C3×#4015C22semidirect
33. C3×C5×#106C22semidirect
34. C3×C5×C4⋊C8C22semidirect
38. C3×#3949C22semidirect
39. C3×#3946C22semidirect
41. C3×#3940C22semidirect
42. C3×#3940C22semidirect
43. C3×C4⋊#168C22semidirect
45. D5×C4⋊Q8C2×C3semidirect
47. C5×#476C2×C3semidirect
48. #65373C2×C3semidirect
49. #65297C2×C3semidirect
50. #65159C2×C3semidirect
51. D5×#106C2×C3semidirect
52. #65131C2×C3semidirect
53. D5×C4⋊C8C2×C3semidirect
55. #65050C2×C3semidirect
64. C3×D4×D5Q8semidirect
103. C3×#476D5direct (N × H)
110. C5×C4⋊Q8C22×C3semidirect
121. #4034C22×C3semidirect
126. #4015C22×C3semidirect
127. C5×#106C22×C3semidirect
128. C5×C4⋊C8C22×C3semidirect
132. #3949C22×C3semidirect
133. #3946C22×C3semidirect
135. #3940C22×C3semidirect
136. #3940C22×C3semidirect
137. C4⋊#168C22×C3semidirect
147. C3×C5×D4C2×Q8semidirect
162. C3×D20C2×Q8semidirect
183. C3×C4⋊Q8C2×D5semidirect
198. C3×#106C2×D5semidirect
201. C3×C4⋊C8C2×D5semidirect
214. D4×D5C3×Q8semidirect
253. #476C3×D5direct (N × H)
327. C5×D4C2×C3×Q8semidirect
342. D20C2×C3×Q8semidirect
363. C4⋊Q8C2×C3×D5semidirect
378. #106C2×C3×D5semidirect
381. C4⋊C8C2×C3×D5semidirect
391. C3×D5#476direct (N × H)
405. C3×D4Q8×D5semidirect
490. C3×C5C2×#476semidirect
518. D5C3×#476direct (N × H)
532. D4C3×Q8×D5semidirect
561. C5C2×C3×#476semidirect
584. C3D5×#476direct (N × H)

Maximal subgroups

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

subgroupindex
C3×D5×C4⋊Q82
C3×C4×D4×D52
C3×C5×#4762
C3×#653732
C3×#652972
C3×#651592
C3×D5×#1062
C3×#651312
C3×D5×C4⋊C82
C3×D5×#1022
C3×#650502
D5×#4763
C2×C3×#4765