Finite Group Databasebeta

← C3×D5×#380 #14319820

Subgroups — C3×D5×#380 #14319820

Order 1920.

2464 conjugacy classes of subgroups.

The subgroup lattice has 580 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C3×C4×D5C211yesmaximal, characteristic
2C2×C3×D5×C4⋊C4C212yesmaximal, complemented
3C2×C3×D5×C22⋊C4C212yesmaximal
4C3×C5×#380C211yesmaximal, characteristic, complemented
5C3×#65501C211yesmaximal, characteristic, complemented
6C3×#65276C212yesmaximal, complemented
7C3×#65231C212yesmaximal, complemented
8C3×#64956C212yesmaximal, complemented
9C3×D5×#95C212yesmaximal, complemented
10D5×#380C311yesmaximal, characteristic, direct product factor, Hall
11C24×C3×D5C2211yescharacteristic
12C23×C3×C4×C5C2211yescharacteristic
13C23×C3×Dic5C2211yescharacteristic
14C22×C3×C4×D5—28no—
15C22×C3×C4×D5C418yescomplemented
16C22×C3×C4×D5C2214yes—
17C22×C3×C4×D5C2211yescharacteristic
18C22×C3×C4×D5C2211yescharacteristic
19C22×C3×C4×D5C2211yescharacteristic
20C22×C3×C4×D5C2211yescharacteristic
21C2×C3×C5×C4⋊C4C2212yescomplemented
22C2×C3×C5×C22⋊C4C2212yes—
23C2×C3×C22⋊Dic5C2212yes—
24C2×C3×#685C2214yes—
25C2×C3×C4⋊Dic5C2212yescomplemented
26C2×C3×#683C2214yescomplemented
27C3×D5×C4⋊C4—28no—
28C3×D5×C22⋊C4—28no—
29C3×C5×#95C2212yescomplemented
30C3×#3963C2212yescomplemented
31C3×#3963C2214yescomplemented
32C2×C3×#380—51nomaximal, Hall
33C23×C4×D5C2×C311yescharacteristic
34C2×D5×C4⋊C4C2×C312yescomplemented
35C2×D5×C22⋊C4C2×C312yes—
36C5×#380C2×C311yescharacteristic, complemented
37#65501C2×C311yescharacteristic, complemented
38#65276C2×C312yescomplemented
39#65231C2×C312yescomplemented
40#64956C2×C312yescomplemented
41D5×#95C2×C312yescomplemented
42C24×C3×C5C2311yescharacteristic
43C23×C3×D5—24no—
44C23×C3×D5—24no—
45C23×C3×D5C2×C414yes—
46C23×C3×D5D414yes—
47C23×C3×D5Q814yes—
48C23×C3×D5C2311yescharacteristic
49C23×C3×D5C2311yescharacteristic
50C22×C3×C4×C5—24no—
51C22×C3×C4×C5C2×C414yescomplemented
52C22×C3×C4×C5C2314yes—
53C22×C3×C4×C5C2311yescharacteristic
54C22×C3×C4×C5C2311yescharacteristic
55C22×C3×Dic5—24no—
56C22×C3×Dic5C2×C414yescomplemented
57C22×C3×Dic5C2314yes—
58C22×C3×Dic5C2311yescharacteristic
59C22×C3×Dic5C2311yescharacteristic
60C2×C3×C4×D5—24no—
61C2×C3×C4×D5—24no—
62C2×C3×C4×D5—24no—
63C2×C3×C4×D5—232no—
64C2×C3×C4×D5—28no—
65C2×C3×C4×D5—28no—
66C2×C3×C4×D5—28no—
67C2×C3×C4×D5C2×C414yes—
68C2×C3×C4×D5C2×C414yes—
69C2×C3×C4×D5C2×C414yescomplemented
70C2×C3×C4×D5C2×C414yescomplemented
71C2×C3×C4×D5D418yes—
72C3×C5×C4⋊C4—24no—
73C3×C5×C22⋊C4—24no—
74C3×C22⋊Dic5—24no—
75C3×#685—28no—
76C3×C4⋊Dic5—24no—
77C3×#683—28no—
78C24×C3×C4—51no—
79C22×C3×C4⋊C4—52no—
80C22×C3×C22⋊C4—52no—
81C3×#380—51no—
82C3×#380—52no—
83C3×#380—52no—
84C3×#380—52no—
85C3×#380D511yescharacteristic, direct product factor
86C2×C3×#95—52no—
87C24×D5C22×C311yescharacteristic
88C23×C4×C5C22×C311yescharacteristic
89C23×Dic5C22×C311yescharacteristic
90C22×C4×D5—28no—
91C22×C4×D5C3×C418yescomplemented
92C22×C4×D5C22×C314yes—
93C22×C4×D5C22×C311yescharacteristic
94C22×C4×D5C22×C311yescharacteristic
95C22×C4×D5C22×C311yescharacteristic
96C22×C4×D5C22×C311yescharacteristic
97C2×C5×C4⋊C4C22×C312yescomplemented
98C2×C5×C22⋊C4C22×C312yes—
99C2×C22⋊Dic5C22×C312yes—
100C2×#685C22×C314yes—
101C2×C4⋊Dic5C22×C312yescomplemented
102C2×#683C22×C314yescomplemented
103D5×C4⋊C4—28no—
104D5×C22⋊C4—28no—
105C5×#95C22×C312yescomplemented
106#3963C22×C312yescomplemented
107#3963C22×C314yescomplemented
108C2×#380—51noSylow
109C23×C3×C5—22no—
110C23×C3×C5—22no—
111C23×C3×C5C22×C412yes—
112C23×C3×C5C2×D412yes—
113C23×C3×C5C2×Q812yes—
114C23×C3×C5C2411yescharacteristic
115C22×C3×D5—22no—
116C22×C3×D5—22no—
117C22×C3×D5—28no—
118C22×C3×D5—28no—
119C22×C3×D5—216no—
120C22×C3×D5—216no—
121C22×C3×D5C4⋊C4116yescomplemented
122C22×C3×D5C22×C412yes—
123C22×C3×D5C22×C412yes—
124C22×C3×D5C2×D412yes—
125C22×C3×D5C2×D414yes—
126C22×C3×D5C2×D412yes—
127C22×C3×D5C2×Q812yes—
128C22×C3×D5C2×Q812yes—
129C22×C3×D5#4114yes—
130C2×C3×C4×C5—22no—
131C2×C3×C4×C5—28no—
132C2×C3×C4×C5—24no—
133C2×C3×C4×C5—24no—
134C2×C3×C4×C5—24no—
135C2×C3×C4×C5C22×C412yes—
136C2×C3×C4×C5C22×C412yes—
137C2×C3×C4×C5C2×D414yes—
138C2×C3×Dic5—22no—
139C2×C3×Dic5—28no—
140C2×C3×Dic5—24no—
141C2×C3×Dic5—24no—
142C2×C3×Dic5—24no—
143C2×C3×Dic5C22×C412yes—
144C2×C3×Dic5C22×C412yes—
145C2×C3×Dic5C2×D414yes—
146C3×C4×D5—28no—
147C3×C4×D5—28no—
148C3×C4×D5—28no—
149C3×C4×D5—416no—
150C3×C4×D5C22⋊C4116yescomplemented
151C25×C3—51no—
152C23×C3×C4—51no—
153C23×C3×C4—51no—
154C23×C3×C4—58no—
155C23×C3×C4—51no—
156C23×C3×C4—51no—
157C23×C3×C4—51no—
158C23×C3×C4—54no—
159C23×C3×C4—108no—
160C23×C3×C4C2×D511yescharacteristic
161C2×C3×C4⋊C4—54no—
162C2×C3×C4⋊C4—52no—
163C2×C3×C4⋊C4—108no—
164C2×C3×C4⋊C4C2×D512yescomplemented
165C2×C3×C22⋊C4—52no—
166C2×C3×C22⋊C4—54no—
167C2×C3×C22⋊C4—108no—
168C2×C3×C22⋊C4C2×D512yes—
169C3×#95—54no—
170C3×#95—52no—
171C3×#95C2×D512yescomplemented
172C24×C5C23×C311yescharacteristic
173C23×D5—24no—
174C23×D5—24no—
175C23×D5C2×C3×C414yes—
176C23×D5C3×D414yes—
177C23×D5C3×Q814yes—
178C23×D5C23×C311yescharacteristic
179C23×D5C23×C311yescharacteristic
180C22×C4×C5—24no—
181C22×C4×C5C2×C3×C414yescomplemented
182C22×C4×C5C23×C314yes—
183C22×C4×C5C23×C311yescharacteristic
184C22×C4×C5C23×C311yescharacteristic
185C22×Dic5—24no—
186C22×Dic5C2×C3×C414yescomplemented
187C22×Dic5C23×C314yes—
188C22×Dic5C23×C311yescharacteristic
189C22×Dic5C23×C311yescharacteristic
190C2×C4×D5—24no—
191C2×C4×D5—24no—
192C2×C4×D5—24no—
193C2×C4×D5—232no—
194C2×C4×D5—28no—
195C2×C4×D5—28no—
196C2×C4×D5—28no—
197C2×C4×D5C2×C3×C414yes—
198C2×C4×D5C2×C3×C414yes—
199C2×C4×D5C2×C3×C414yescomplemented
200C2×C4×D5C2×C3×C414yescomplemented
201C2×C4×D5C3×D418yes—
202C5×C4⋊C4—24no—
203C5×C22⋊C4—24no—
204C22⋊Dic5—24no—
205#685—28no—
206C4⋊Dic5—24no—
207#683—28no—
208C24×C4—51no—
209C22×C4⋊C4—52no—
210C22×C22⋊C4—52no—
211#380—51no—
212#380—52no—
213#380—52no—
214#380—52no—
215#380C3×D511yescharacteristic, direct product factor
216C2×#95—52no—
217C22×C3×C5—22no—
218C22×C3×C5—22no—
219C22×C3×C5—24no—
220C22×C3×C5—24no—
221C22×C3×C5C2×C4⋊C414yescomplemented
222C22×C3×C5C23×C411yescharacteristic
223C22×C3×C5C22×D412yes—
224C22×C3×C5C22×D411yescharacteristic
225C22×C3×C5C22×Q811yescharacteristic
226C22×C3×C5C2×#4112yes—
227C2×C3×D5—22no—
228C2×C3×D5—22no—
229C2×C3×D5—24no—
230C2×C3×D5—24no—
231C2×C3×D5—232no—
232C2×C3×D5C2×C22⋊C414yes—
233C2×C3×D5C2×C4⋊C414yes—
234C2×C3×D5C2×C4⋊C414yescomplemented
235C2×C3×D5#11714yes—
236C2×C3×D5#12118yes—
237C2×C3×D5C22⋊Q818yes—
238C3×C4×C5—22no—
239C3×C4×C5—44no—
240C3×C4×C5C2×C22⋊C414yescomplemented
241C3×Dic5—22no—
242C3×Dic5—44no—
243C3×Dic5C2×C22⋊C414yescomplemented
244C24×C3—51no—
245C24×C3—54no—
246C24×C3—54no—
247C24×C3—54no—
248C24×C3—51no—
249C24×C3—104no—
250C24×C3—104no—
251C24×C3C22×D511yescharacteristic
252C22×C3×C4—24no—
253C22×C3×C4—51no—
254C22×C3×C4—54no—
255C22×C3×C4—58no—
256C22×C3×C4—54no—
257C22×C3×C4—51no—
258C22×C3×C4—54no—
259C22×C3×C4—54no—
260C22×C3×C4—54no—
261C22×C3×C4—54no—
262C22×C3×C4—104no—
263C22×C3×C4—1032no—
264C22×C3×C4—104no—
265C22×C3×C4—108no—
266C22×C3×C4—108no—
267C22×C3×C4—108no—
268C22×C3×C4—104no—
269C22×C3×C4—104no—
270C22×C3×C4C4×D514yescomplemented
271C22×C3×C4C22×D514yes—
272C22×C3×C4C22×D511yescharacteristic
273C22×C3×C4C22×D511yescharacteristic
274C3×C4⋊C4—24no—
275C3×C4⋊C4—108no—
276C3×C4⋊C4—104no—
277C3×C22⋊C4—24no—
278C3×C22⋊C4—108no—
279C3×C22⋊C4—104no—
280C23×C5—22no—
281C23×C5—22no—
282C23×C5C22×C3×C412yes—
283C23×C5C2×C3×D412yes—
284C23×C5C2×C3×Q812yes—
285C23×C5C24×C311yescharacteristic
286C22×D5—22no—
287C22×D5—22no—
288C22×D5—28no—
289C22×D5—28no—
290C22×D5—216no—
291C22×D5—216no—
292C22×D5C3×C4⋊C4116yescomplemented
293C22×D5C22×C3×C412yes—
294C22×D5C22×C3×C412yes—
295C22×D5C2×C3×D412yes—
296C22×D5C2×C3×D414yes—
297C22×D5C2×C3×D412yes—
298C22×D5C2×C3×Q812yes—
299C22×D5C2×C3×Q812yes—
300C22×D5C3×#4114yes—
301C2×C4×C5—22no—
302C2×C4×C5—28no—
303C2×C4×C5—24no—
304C2×C4×C5—24no—
305C2×C4×C5—24no—
306C2×C4×C5C22×C3×C412yes—
307C2×C4×C5C22×C3×C412yes—
308C2×C4×C5C2×C3×D414yes—
309C2×Dic5—22no—
310C2×Dic5—28no—
311C2×Dic5—24no—
312C2×Dic5—24no—
313C2×Dic5—24no—
314C2×Dic5C22×C3×C412yes—
315C2×Dic5C22×C3×C412yes—
316C2×Dic5C2×C3×D414yes—
317C4×D5—28no—
318C4×D5—28no—
319C4×D5—28no—
320C4×D5—416no—
321C4×D5C3×C22⋊C4116yescomplemented
322C25—51no—
323C23×C4—51no—
324C23×C4—51no—
325C23×C4—58no—
326C23×C4—51no—
327C23×C4—51no—
328C23×C4—51no—
329C23×C4—54no—
330C23×C4—108no—
331C23×C4C2×C3×D511yescharacteristic
332C2×C4⋊C4—54no—
333C2×C4⋊C4—52no—
334C2×C4⋊C4—108no—
335C2×C4⋊C4C2×C3×D512yescomplemented
336C2×C22⋊C4—52no—
337C2×C22⋊C4—54no—
338C2×C22⋊C4—108no—
339C2×C22⋊C4C2×C3×D512yes—
340#95—54no—
341#95—52no—
342#95C2×C3×D512yescomplemented
343C2×C3×C5—24no—
344C2×C3×C5C22×C22⋊C411yescharacteristic
345C2×C3×C5C22×C4⋊C411yescharacteristic
346C2×C3×C5C2×#11711yescharacteristic
347C2×C3×C5C2×#12112yes—
348C2×C3×C5C2×C22⋊Q812yes—
349C3×D5—24no—
350C3×D5#38018yesdirect product factor
351C23×C3—22no—
352C23×C3—22no—
353C23×C3—52no—
354C23×C3—54no—
355C23×C3—52no—
356C23×C3—52no—
357C23×C3—54no—
358C23×C3—52no—
359C23×C3—52no—
360C23×C3—52no—
361C23×C3—516no—
362C23×C3—108no—
363C23×C3—108no—
364C23×C3—1016no—
365C23×C3—1016no—
366C23×C3—102no—
367C23×C3—102no—
368C23×C3C2×C4×D512yes—
369C23×C3D4×D512yes—
370C23×C3Q8×D512yes—
371C23×C3C23×D511yescharacteristic
372C2×C3×C4—22no—
373C2×C3×C4—28no—
374C2×C3×C4—24no—
375C2×C3×C4—24no—
376C2×C3×C4—24no—
377C2×C3×C4—52no—
378C2×C3×C4—54no—
379C2×C3×C4—516no—
380C2×C3×C4—52no—
381C2×C3×C4—108no—
382C2×C3×C4—108no—
383C2×C3×C4—108no—
384C2×C3×C4—102no—
385C2×C3×C4—108no—
386C2×C3×C4—104no—
387C2×C3×C4—104no—
388C2×C3×C4—104no—
389C2×C3×C4—2016no—
390C2×C3×C4C2×C4×D512yes—
391C2×C3×C4C2×C4×D512yes—
392C2×C3×C4D4×D514yes—
393C22×C5—22no—
394C22×C5—22no—
395C22×C5—24no—
396C22×C5—24no—
397C22×C5C2×C3×C4⋊C414yescomplemented
398C22×C5C23×C3×C411yescharacteristic
399C22×C5C22×C3×D412yes—
400C22×C5C22×C3×D411yescharacteristic
401C22×C5C22×C3×Q811yescharacteristic
402C22×C5C2×C3×#4112yes—
403C2×D5—22no—
404C2×D5—22no—
405C2×D5—24no—
406C2×D5—24no—
407C2×D5—232no—
408C2×D5C2×C3×C22⋊C414yes—
409C2×D5C2×C3×C4⋊C414yes—
410C2×D5C2×C3×C4⋊C414yescomplemented
411C2×D5C3×#11714yes—
412C2×D5C3×#12118yes—
413C2×D5C3×C22⋊Q818yes—
414C4×C5—22no—
415C4×C5—44no—
416C4×C5C2×C3×C22⋊C414yescomplemented
417Dic5—22no—
418Dic5—44no—
419Dic5C2×C3×C22⋊C414yescomplemented
420C24—51no—
421C24—54no—
422C24—54no—
423C24—54no—
424C24—51no—
425C24—104no—
426C24—104no—
427C24C22×C3×D511yescharacteristic
428C22×C4—24no—
429C22×C4—51no—
430C22×C4—54no—
431C22×C4—58no—
432C22×C4—54no—
433C22×C4—51no—
434C22×C4—54no—
435C22×C4—54no—
436C22×C4—54no—
437C22×C4—54no—
438C22×C4—104no—
439C22×C4—1032no—
440C22×C4—104no—
441C22×C4—108no—
442C22×C4—108no—
443C22×C4—108no—
444C22×C4—104no—
445C22×C4—104no—
446C22×C4C3×C4×D514yescomplemented
447C22×C4C22×C3×D514yes—
448C22×C4C22×C3×D511yescharacteristic
449C22×C4C22×C3×D511yescharacteristic
450C4⋊C4—24no—
451C4⋊C4—108no—
452C4⋊C4—104no—
453C22⋊C4—24no—
454C22⋊C4—108no—
455C22⋊C4—104no—
456C3×C5C2×#38011yescharacteristic, complemented, Hall
457C22×C3—22no—
458C22×C3—22no—
459C22×C3—24no—
460C22×C3—24no—
461C22×C3—54no—
462C22×C3—54no—
463C22×C3—54no—
464C22×C3—58no—
465C22×C3—58no—
466C22×C3—54no—
467C22×C3—1032no—
468C22×C3—102no—
469C22×C3—102no—
470C22×C3—104no—
471C22×C3—104no—
472C22×C3D5×C4⋊C414yescomplemented
473C22×C3C22×C4×D511yescharacteristic
474C22×C3C2×D4×D512yes—
475C22×C3C2×D4×D511yescharacteristic
476C22×C3C2×Q8×D511yescharacteristic
477C22×C3D5×#4112yes—
478C3×C4—22no—
479C3×C4—44no—
480C3×C4—54no—
481C3×C4—102no—
482C3×C4—204no—
483C3×C4D5×C22⋊C414yescomplemented
484C2×C5—24no—
485C2×C5C22×C3×C22⋊C411yescharacteristic
486C2×C5C22×C3×C4⋊C411yescharacteristic
487C2×C5C2×C3×#11711yescharacteristic
488C2×C5C2×C3×#12112yes—
489C2×C5C2×C3×C22⋊Q812yes—
490D5—24no—
491D5C3×#38018yesdirect product factor
492C23—22no—
493C23—22no—
494C23—52no—
495C23—54no—
496C23—52no—
497C23—52no—
498C23—54no—
499C23—52no—
500C23—52no—
501C23—52no—
502C23—516no—
503C23—108no—
504C23—108no—
505C23—1016no—
506C23—1016no—
507C23—102no—
508C23—102no—
509C23C2×C3×C4×D512yes—
510C23C3×D4×D512yes—
511C23C3×Q8×D512yes—
512C23C23×C3×D511yescharacteristic
513C2×C4—22no—
514C2×C4—28no—
515C2×C4—24no—
516C2×C4—24no—
517C2×C4—24no—
518C2×C4—52no—
519C2×C4—54no—
520C2×C4—516no—
521C2×C4—52no—
522C2×C4—108no—
523C2×C4—108no—
524C2×C4—108no—
525C2×C4—102no—
526C2×C4—108no—
527C2×C4—104no—
528C2×C4—104no—
529C2×C4—104no—
530C2×C4—2016no—
531C2×C4C2×C3×C4×D512yes—
532C2×C4C2×C3×C4×D512yes—
533C2×C4C3×D4×D514yes—
534C2×C3—24no—
535C2×C3—58no—
536C2×C3—104no—
537C2×C3C2×D5×C22⋊C411yescharacteristic
538C2×C3C2×D5×C4⋊C411yescharacteristic
539C2×C3D5×#11711yescharacteristic
540C2×C3D5×#12112yes—
541C2×C3D5×C22⋊Q812yes—
542C5C2×C3×#38011yescharacteristic, complemented, Sylow
543C22—22no—
544C22—24no—
545C22—24no—
546C22—22no—
547C22—54no—
548C22—58no—
549C22—58no—
550C22—54no—
551C22—54no—
552C22—54no—
553C22—1032no—
554C22—102no—
555C22—104no—
556C22—104no—
557C22—102no—
558C22C3×D5×C4⋊C414yescomplemented
559C22C22×C3×C4×D511yescharacteristic
560C22C2×C3×D4×D511yescharacteristic
561C22C2×C3×D4×D512yes—
562C22C2×C3×Q8×D511yescharacteristic
563C22C3×D5×#4112yes—
564C4—22no—
565C4—44no—
566C4—54no—
567C4—102no—
568C4—204no—
569C4C3×D5×C22⋊C414yescomplemented
570C3D5×#38011yescharacteristic, direct product factor, Sylow
571C2—24no—
572C2—58no—
573C2—104no—
574C2C2×C3×D5×C22⋊C411yescharacteristic
575C2C2×C3×D5×C4⋊C411yescharacteristic
576C2C3×D5×#11711yescharacteristic
577C2C3×D5×#12112yes—
578C2C3×D5×C22⋊Q812yes—
subgroupG/H
centerC23×C3C23×D5
commutatorC22×C5C23×C3×C4
FrattiniC23C23×C3×D5
FittingC3×C5×#380C2
socleC23×C3×C5C24
prime radicalC24×C3×D5C22
cosocleC23×C5C24×C3
hypercenterC3×#380D5
hypocenterC5C2×C3×#380
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23×C3 ◁ C3×#380

Complements

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

NH ≅ G/Ntype
2. C2×C3×D5×C4⋊C4C2semidirect
4. C3×C5×#380C2semidirect
5. C3×#65501C2semidirect
6. C3×#65276C2semidirect
7. C3×#65231C2semidirect
8. C3×#64956C2semidirect
9. C3×D5×#95C2semidirect
10. D5×#380C3direct (N × H)
15. C22×C3×C4×D5C4semidirect
21. C2×C3×C5×C4⋊C4C22semidirect
25. C2×C3×C4⋊Dic5C22semidirect
26. C2×C3×#683C22semidirect
29. C3×C5×#95C22semidirect
30. C3×#3963C22semidirect
31. C3×#3963C22semidirect
34. C2×D5×C4⋊C4C2×C3semidirect
36. C5×#380C2×C3semidirect
37. #65501C2×C3semidirect
38. #65276C2×C3semidirect
39. #65231C2×C3semidirect
40. #64956C2×C3semidirect
41. D5×#95C2×C3semidirect
51. C22×C3×C4×C5C2×C4semidirect
56. C22×C3×Dic5C2×C4semidirect
69. C2×C3×C4×D5C2×C4semidirect
70. C2×C3×C4×D5C2×C4semidirect
85. C3×#380D5direct (N × H)
91. C22×C4×D5C3×C4semidirect
97. C2×C5×C4⋊C4C22×C3semidirect
101. C2×C4⋊Dic5C22×C3semidirect
102. C2×#683C22×C3semidirect
105. C5×#95C22×C3semidirect
106. #3963C22×C3semidirect
107. #3963C22×C3semidirect
121. C22×C3×D5C4⋊C4semidirect
150. C3×C4×D5C22⋊C4semidirect
164. C2×C3×C4⋊C4C2×D5semidirect
171. C3×#95C2×D5semidirect
181. C22×C4×C5C2×C3×C4semidirect
186. C22×Dic5C2×C3×C4semidirect
199. C2×C4×D5C2×C3×C4semidirect
200. C2×C4×D5C2×C3×C4semidirect
215. #380C3×D5direct (N × H)
221. C22×C3×C5C2×C4⋊C4semidirect
234. C2×C3×D5C2×C4⋊C4semidirect
240. C3×C4×C5C2×C22⋊C4semidirect
243. C3×Dic5C2×C22⋊C4semidirect
270. C22×C3×C4C4×D5semidirect
292. C22×D5C3×C4⋊C4semidirect
321. C4×D5C3×C22⋊C4semidirect
335. C2×C4⋊C4C2×C3×D5semidirect
342. #95C2×C3×D5semidirect
350. C3×D5#380direct (N × H)
397. C22×C5C2×C3×C4⋊C4semidirect
410. C2×D5C2×C3×C4⋊C4semidirect
416. C4×C5C2×C3×C22⋊C4semidirect
419. Dic5C2×C3×C22⋊C4semidirect
446. C22×C4C3×C4×D5semidirect
456. C3×C5C2×#380semidirect
472. C22×C3D5×C4⋊C4semidirect
483. C3×C4D5×C22⋊C4semidirect
491. D5C3×#380direct (N × H)
542. C5C2×C3×#380semidirect
558. C22C3×D5×C4⋊C4semidirect
569. C4C3×D5×C22⋊C4semidirect
570. C3D5×#380direct (N × H)

Maximal subgroups

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

subgroupindex
C23×C3×C4×D52
C2×C3×D5×C4⋊C42
C2×C3×D5×C22⋊C42
C3×C5×#3802
C3×#655012
C3×#652762
C3×#652312
C3×#649562
C3×D5×#952
D5×#3803
C2×C3×#3805