Finite Group Databasebeta

← C3×C5×D4×C4⋊C4 #14275382

Subgroups — C3×C5×D4×C4⋊C4 #14275382

Order 1920.

1552 conjugacy classes of subgroups.

The subgroup lattice has 472 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C4×C5×D4C212yesmaximal
2C2×C3×C4×C5×D4C211yesmaximal, characteristic
3C22×C3×C5×C4⋊C4C212yesmaximal, complemented
4C3×C5×#389C212yesmaximal, complemented
5C3×C5×#385C214yesmaximal, complemented
6C3×C5×#384C211yesmaximal, characteristic, complemented
7C3×C5×#380C212yesmaximal, complemented
8C3×C4×C5×C4⋊C4C211yesmaximal, characteristic, complemented
9C5×D4×C4⋊C4C311yesmaximal, characteristic, direct product factor, Hall
10C22×C3×C5×D4C2211yescharacteristic
11C23×C3×C4×C5C2214yes—
12C23×C3×C4×C5C2212yes—
13C3×C4×C5×D4—28no—
14C3×C4×C5×D4C418yescomplemented
15C2×C3×C5×C4⋊C4—28no—
16C2×C3×C5×C4⋊C4C2212yes—
17C2×C3×C5×C4⋊C4C2214yes—
18C2×C3×C5×C4⋊C4C2212yes—
19C2×C3×C5×C4⋊C4C2211yescharacteristic
20C2×C3×C5×C4⋊C4C2212yes—
21C2×C3×C5×C4⋊C4C2211yescharacteristic
22C2×C3×C5×C4⋊C4C2211yescharacteristic
23C2×C3×C5×C22⋊C4C2214yes—
24C2×C3×C5×C22⋊C4C2212yes—
25C2×C3×C42×C5C2212yes—
26C2×C3×C42×C5C2211yescharacteristic
27C3×C5×#95C2212yes—
28C3×C5×#95C2214yes—
29C3×D4×C4⋊C4C511yesmaximal, characteristic, direct product factor, Hall
30C2×C4×C5×D4C2×C312yes—
31C2×C4×C5×D4C2×C311yescharacteristic
32C22×C5×C4⋊C4C2×C312yescomplemented
33C5×#389C2×C312yescomplemented
34C5×#385C2×C314yescomplemented
35C5×#384C2×C311yescharacteristic, complemented
36C5×#380C2×C312yescomplemented
37C4×C5×C4⋊C4C2×C311yescharacteristic, complemented
38C24×C3×C5C2312yes—
39C2×C3×C5×D4C2×C414yes—
40C2×C3×C5×D4D414yes—
41C2×C3×C5×D4Q814yes—
42C22×C3×C4×C5—24no—
43C22×C3×C4×C5—24no—
44C22×C3×C4×C5—28no—
45C22×C3×C4×C5—28no—
46C22×C3×C4×C5—44no—
47C22×C3×C4×C5C2×C418yescomplemented
48C22×C3×C4×C5C2312yes—
49C22×C3×C4×C5C2314yes—
50C22×C3×C4×C5C2311yescharacteristic
51C22×C3×C4×C5C2312yes—
52C22×C3×C4×C5C2312yes—
53C22×C3×C4×C5C2311yescharacteristic
54C22×C3×C4×C5C2311yescharacteristic
55C3×C5×C4⋊C4—28no—
56C3×C5×C4⋊C4—24no—
57C3×C5×C4⋊C4—24no—
58C3×C5×C4⋊C4—22no—
59C3×C5×C4⋊C4—42no—
60C3×C5×C4⋊C4C2×C414yescomplemented
61C3×C5×C4⋊C4D414yesdirect product factor
62C3×C5×C22⋊C4—28no—
63C3×C5×C22⋊C4C2×C418yescomplemented
64C3×C42×C5—24no—
65C3×C42×C5C2×C414yescomplemented
66C2×C3×C4×D4C2×C512yes—
67C2×C3×C4×D4C2×C511yescharacteristic
68C22×C3×C4⋊C4C2×C512yescomplemented
69C3×#389C2×C512yescomplemented
70C3×#385C2×C514yescomplemented
71C3×#384C2×C511yescharacteristic, complemented
72C3×#380C2×C512yescomplemented
73C3×C4×C4⋊C4C2×C511yescharacteristic, complemented
74C22×C5×D4C22×C311yescharacteristic
75C23×C4×C5C22×C314yes—
76C23×C4×C5C22×C312yes—
77C4×C5×D4—28no—
78C4×C5×D4C3×C418yescomplemented
79C2×C5×C4⋊C4—28no—
80C2×C5×C4⋊C4C22×C311yescharacteristic
81C2×C5×C4⋊C4C22×C312yes—
82C2×C5×C4⋊C4C22×C312yes—
83C2×C5×C4⋊C4C22×C314yes—
84C2×C5×C4⋊C4C22×C312yes—
85C2×C5×C4⋊C4C22×C311yescharacteristic
86C2×C5×C4⋊C4C22×C311yescharacteristic
87C2×C5×C22⋊C4C22×C314yes—
88C2×C5×C22⋊C4C22×C312yes—
89C2×C42×C5C22×C312yes—
90C2×C42×C5C22×C311yescharacteristic
91C5×#95C22×C312yes—
92C5×#95C22×C314yes—
93D4×C4⋊C4C3×C511yescharacteristic, direct product factor, Sylow
94C23×C3×C5—22no—
95C23×C3×C5—22no—
96C23×C3×C5—22no—
97C23×C3×C5—22no—
98C23×C3×C5C22×C414yes—
99C23×C3×C5C2×D414yes—
100C23×C3×C5C2×Q814yes—
101C23×C3×C5C2411yescharacteristic
102C3×C5×D4C4⋊C4116yesdirect product factor
103C2×C3×C4×C5—22no—
104C2×C3×C4×C5—22no—
105C2×C3×C4×C5—22no—
106C2×C3×C4×C5—21no—
107C2×C3×C4×C5—22no—
108C2×C3×C4×C5—21no—
109C2×C3×C4×C5—216no—
110C2×C3×C4×C5—22no—
111C2×C3×C4×C5—24no—
112C2×C3×C4×C5—24no—
113C2×C3×C4×C5—22no—
114C2×C3×C4×C5—24no—
115C2×C3×C4×C5—22no—
116C2×C3×C4×C5—416no—
117C2×C3×C4×C5C22×C412yes—
118C2×C3×C4×C5C22×C414yes—
119C2×C3×C4×C5C22×C412yes—
120C2×C3×C4×C5C22×C412yes—
121C2×C3×C4×C5C2×D414yes—
122C2×C3×C4×C5C2×D412yes—
123C2×C3×C4×C5C2×D412yes—
124C2×C3×C4×C5C2×Q812yes—
125C2×C3×C4×C5#4112yes—
126C22×C3×D4C22×C511yescharacteristic
127C23×C3×C4C22×C514yes—
128C23×C3×C4C22×C512yes—
129C3×C4×D4—28no—
130C3×C4×D4C4×C518yescomplemented
131C2×C3×C4⋊C4—28no—
132C2×C3×C4⋊C4C22×C511yescharacteristic
133C2×C3×C4⋊C4C22×C512yes—
134C2×C3×C4⋊C4C22×C512yes—
135C2×C3×C4⋊C4C22×C514yes—
136C2×C3×C4⋊C4C22×C512yes—
137C2×C3×C4⋊C4C22×C511yescharacteristic
138C2×C3×C4⋊C4C22×C511yescharacteristic
139C2×C3×C22⋊C4C22×C514yes—
140C2×C3×C22⋊C4C22×C512yes—
141C2×C3×C42C22×C512yes—
142C2×C3×C42C22×C511yescharacteristic
143C3×#95C22×C512yes—
144C3×#95C22×C514yes—
145C24×C5C23×C312yes—
146C2×C5×D4C2×C3×C414yes—
147C2×C5×D4C3×D414yes—
148C2×C5×D4C3×Q814yes—
149C22×C4×C5—24no—
150C22×C4×C5—24no—
151C22×C4×C5—28no—
152C22×C4×C5—28no—
153C22×C4×C5—44no—
154C22×C4×C5C2×C3×C418yescomplemented
155C22×C4×C5C23×C312yes—
156C22×C4×C5C23×C314yes—
157C22×C4×C5C23×C311yescharacteristic
158C22×C4×C5C23×C312yes—
159C22×C4×C5C23×C312yes—
160C22×C4×C5C23×C311yescharacteristic
161C22×C4×C5C23×C311yescharacteristic
162C5×C4⋊C4—28no—
163C5×C4⋊C4—24no—
164C5×C4⋊C4—24no—
165C5×C4⋊C4—22no—
166C5×C4⋊C4—42no—
167C5×C4⋊C4C2×C3×C414yescomplemented
168C5×C4⋊C4C3×D414yesdirect product factor
169C5×C22⋊C4—28no—
170C5×C22⋊C4C2×C3×C418yescomplemented
171C42×C5—24no—
172C42×C5C2×C3×C414yescomplemented
173C2×C4×D4C2×C3×C512yes—
174C2×C4×D4C2×C3×C511yescharacteristic
175C22×C4⋊C4C2×C3×C512yescomplemented
176#389C2×C3×C512yescomplemented
177#385C2×C3×C514yescomplemented
178#384C2×C3×C511yescharacteristic, complemented
179#380C2×C3×C512yescomplemented
180C4×C4⋊C4C2×C3×C511yescharacteristic, complemented
181C22×C3×C5—24no—
182C22×C3×C5—24no—
183C22×C3×C5—24no—
184C22×C3×C5—24no—
185C22×C3×C5—24no—
186C22×C3×C5—24no—
187C22×C3×C5C2×C4⋊C418yescomplemented
188C22×C3×C5C23×C411yescharacteristic
189C22×C3×C5C22×D411yescharacteristic
190C22×C3×C5C22×D411yescharacteristic
191C22×C3×C5C22×Q811yescharacteristic
192C22×C3×C5C2×#4111yescharacteristic
193C22×C3×C5H(5,𝔽2)11yescharacteristic
194C22×C3×C52−1+411yescharacteristic
195C3×C4×C5—24no—
196C3×C4×C5—22no—
197C3×C4×C5—24no—
198C3×C4×C5—44no—
199C3×C4×C5—42no—
200C3×C4×C5C2×C4⋊C414yescomplemented
201C3×C4×C5C4×D414yescomplemented
202C24×C3C23×C512yes—
203C2×C3×D4C2×C4×C514yes—
204C2×C3×D4C5×D414yes—
205C2×C3×D4C5×Q814yes—
206C22×C3×C4—24no—
207C22×C3×C4—24no—
208C22×C3×C4—28no—
209C22×C3×C4—28no—
210C22×C3×C4—44no—
211C22×C3×C4C2×C4×C518yescomplemented
212C22×C3×C4C23×C512yes—
213C22×C3×C4C23×C514yes—
214C22×C3×C4C23×C511yescharacteristic
215C22×C3×C4C23×C512yes—
216C22×C3×C4C23×C512yes—
217C22×C3×C4C23×C511yescharacteristic
218C22×C3×C4C23×C511yescharacteristic
219C3×C4⋊C4—28no—
220C3×C4⋊C4—24no—
221C3×C4⋊C4—24no—
222C3×C4⋊C4—22no—
223C3×C4⋊C4—42no—
224C3×C4⋊C4C2×C4×C514yescomplemented
225C3×C4⋊C4C5×D414yesdirect product factor
226C3×C22⋊C4—28no—
227C3×C22⋊C4C2×C4×C518yescomplemented
228C3×C42—24no—
229C3×C42C2×C4×C514yescomplemented
230C23×C5—22no—
231C23×C5—22no—
232C23×C5—22no—
233C23×C5—22no—
234C23×C5C22×C3×C414yes—
235C23×C5C2×C3×D414yes—
236C23×C5C2×C3×Q814yes—
237C23×C5C24×C311yescharacteristic
238C5×D4C3×C4⋊C4116yesdirect product factor
239C2×C4×C5—22no—
240C2×C4×C5—22no—
241C2×C4×C5—22no—
242C2×C4×C5—21no—
243C2×C4×C5—22no—
244C2×C4×C5—21no—
245C2×C4×C5—216no—
246C2×C4×C5—22no—
247C2×C4×C5—24no—
248C2×C4×C5—24no—
249C2×C4×C5—22no—
250C2×C4×C5—24no—
251C2×C4×C5—22no—
252C2×C4×C5—416no—
253C2×C4×C5C22×C3×C412yes—
254C2×C4×C5C22×C3×C414yes—
255C2×C4×C5C22×C3×C412yes—
256C2×C4×C5C22×C3×C412yes—
257C2×C4×C5C2×C3×D414yes—
258C2×C4×C5C2×C3×D412yes—
259C2×C4×C5C2×C3×D412yes—
260C2×C4×C5C2×C3×Q812yes—
261C2×C4×C5C3×#4112yes—
262C22×D4C22×C3×C511yescharacteristic
263C23×C4C22×C3×C514yes—
264C23×C4C22×C3×C512yes—
265C4×D4—28no—
266C4×D4C3×C4×C518yescomplemented
267C2×C4⋊C4—28no—
268C2×C4⋊C4C22×C3×C512yes—
269C2×C4⋊C4C22×C3×C514yes—
270C2×C4⋊C4C22×C3×C512yes—
271C2×C4⋊C4C22×C3×C511yescharacteristic
272C2×C4⋊C4C22×C3×C512yes—
273C2×C4⋊C4C22×C3×C511yescharacteristic
274C2×C4⋊C4C22×C3×C511yescharacteristic
275C2×C22⋊C4C22×C3×C514yes—
276C2×C22⋊C4C22×C3×C512yes—
277C2×C42C22×C3×C512yes—
278C2×C42C22×C3×C511yescharacteristic
279#95C22×C3×C512yes—
280#95C22×C3×C514yes—
281C2×C3×C5—28no—
282C2×C3×C5C22×C4⋊C411yescharacteristic
283C2×C3×C5C2×C4×D411yescharacteristic
284C2×C3×C5#52011yescharacteristic
285C2×C3×C5D4211yescharacteristic
286C2×C3×C5#54711yescharacteristic
287C2×C3×C5D4×Q811yescharacteristic
288C2×C3×C5#55411yescharacteristic
289C23×C3—22no—
290C23×C3—22no—
291C23×C3—22no—
292C23×C3—22no—
293C23×C3C22×C4×C514yes—
294C23×C3C2×C5×D414yes—
295C23×C3C2×C5×Q814yes—
296C23×C3C24×C511yescharacteristic
297C3×D4C5×C4⋊C4116yesdirect product factor
298C2×C3×C4—22no—
299C2×C3×C4—22no—
300C2×C3×C4—22no—
301C2×C3×C4—21no—
302C2×C3×C4—22no—
303C2×C3×C4—21no—
304C2×C3×C4—216no—
305C2×C3×C4—22no—
306C2×C3×C4—24no—
307C2×C3×C4—24no—
308C2×C3×C4—22no—
309C2×C3×C4—24no—
310C2×C3×C4—22no—
311C2×C3×C4—416no—
312C2×C3×C4C22×C4×C512yes—
313C2×C3×C4C22×C4×C514yes—
314C2×C3×C4C22×C4×C512yes—
315C2×C3×C4C22×C4×C512yes—
316C2×C3×C4C2×C5×D414yes—
317C2×C3×C4C2×C5×D412yes—
318C2×C3×C4C2×C5×D412yes—
319C2×C3×C4C2×C5×Q812yes—
320C2×C3×C4C5×#4112yes—
321C22×C5—24no—
322C22×C5—24no—
323C22×C5—24no—
324C22×C5—24no—
325C22×C5—24no—
326C22×C5—24no—
327C22×C5C2×C3×C4⋊C418yescomplemented
328C22×C5C23×C3×C411yescharacteristic
329C22×C5C22×C3×D411yescharacteristic
330C22×C5C22×C3×D411yescharacteristic
331C22×C5C22×C3×Q811yescharacteristic
332C22×C5C2×C3×#4111yescharacteristic
333C22×C5C3×H(5,𝔽2)11yescharacteristic
334C22×C5C3×2−1+411yescharacteristic
335C4×C5—24no—
336C4×C5—22no—
337C4×C5—24no—
338C4×C5—44no—
339C4×C5—42no—
340C4×C5C2×C3×C4⋊C414yescomplemented
341C4×C5C3×C4×D414yescomplemented
342C24C23×C3×C512yes—
343C2×D4C2×C3×C4×C514yes—
344C2×D4C3×C5×D414yes—
345C2×D4C3×C5×Q814yes—
346C22×C4—24no—
347C22×C4—24no—
348C22×C4—28no—
349C22×C4—28no—
350C22×C4—44no—
351C22×C4C2×C3×C4×C518yescomplemented
352C22×C4C23×C3×C512yes—
353C22×C4C23×C3×C514yes—
354C22×C4C23×C3×C511yescharacteristic
355C22×C4C23×C3×C512yes—
356C22×C4C23×C3×C512yes—
357C22×C4C23×C3×C511yescharacteristic
358C22×C4C23×C3×C511yescharacteristic
359C4⋊C4—28no—
360C4⋊C4—24no—
361C4⋊C4—24no—
362C4⋊C4—22no—
363C4⋊C4—42no—
364C4⋊C4C2×C3×C4×C514yescomplemented
365C4⋊C4C3×C5×D414yesdirect product factor
366C22⋊C4—28no—
367C22⋊C4C2×C3×C4×C518yescomplemented
368C42—24no—
369C42C2×C3×C4×C514yescomplemented
370C3×C5D4×C4⋊C411yescharacteristic, direct product factor, Hall
371C22×C3—24no—
372C22×C3—24no—
373C22×C3—24no—
374C22×C3—24no—
375C22×C3—24no—
376C22×C3—24no—
377C22×C3C2×C5×C4⋊C418yescomplemented
378C22×C3C23×C4×C511yescharacteristic
379C22×C3C22×C5×D411yescharacteristic
380C22×C3C22×C5×D411yescharacteristic
381C22×C3C22×C5×Q811yescharacteristic
382C22×C3C2×C5×#4111yescharacteristic
383C22×C3C5×H(5,𝔽2)11yescharacteristic
384C22×C3C5×2−1+411yescharacteristic
385C3×C4—24no—
386C3×C4—22no—
387C3×C4—24no—
388C3×C4—44no—
389C3×C4—42no—
390C3×C4C2×C5×C4⋊C414yescomplemented
391C3×C4C4×C5×D414yescomplemented
392C2×C5—28no—
393C2×C5C22×C3×C4⋊C411yescharacteristic
394C2×C5C2×C3×C4×D411yescharacteristic
395C2×C5C3×#52011yescharacteristic
396C2×C5C3×D4211yescharacteristic
397C2×C5C3×#54711yescharacteristic
398C2×C5C3×D4×Q811yescharacteristic
399C2×C5C3×#55411yescharacteristic
400C23—22no—
401C23—22no—
402C23—22no—
403C23—22no—
404C23C22×C3×C4×C514yes—
405C23C2×C3×C5×D414yes—
406C23C2×C3×C5×Q814yes—
407C23C24×C3×C511yescharacteristic
408D4C3×C5×C4⋊C4116yesdirect product factor
409C2×C4—22no—
410C2×C4—22no—
411C2×C4—22no—
412C2×C4—21no—
413C2×C4—22no—
414C2×C4—21no—
415C2×C4—216no—
416C2×C4—22no—
417C2×C4—24no—
418C2×C4—24no—
419C2×C4—22no—
420C2×C4—24no—
421C2×C4—22no—
422C2×C4—416no—
423C2×C4C22×C3×C4×C512yes—
424C2×C4C22×C3×C4×C514yes—
425C2×C4C22×C3×C4×C512yes—
426C2×C4C22×C3×C4×C512yes—
427C2×C4C2×C3×C5×D414yes—
428C2×C4C2×C3×C5×D412yes—
429C2×C4C2×C3×C5×D412yes—
430C2×C4C2×C3×C5×Q812yes—
431C2×C4C3×C5×#4112yes—
432C2×C3—28no—
433C2×C3C22×C5×C4⋊C411yescharacteristic
434C2×C3C2×C4×C5×D411yescharacteristic
435C2×C3C5×#52011yescharacteristic
436C2×C3C5×D4211yescharacteristic
437C2×C3C5×#54711yescharacteristic
438C2×C3C5×D4×Q811yescharacteristic
439C2×C3C5×#55411yescharacteristic
440C5C3×D4×C4⋊C411yescharacteristic, direct product factor, Sylow
441C22—24no—
442C22—24no—
443C22—24no—
444C22—24no—
445C22—24no—
446C22—24no—
447C22C2×C3×C5×C4⋊C418yescomplemented
448C22C23×C3×C4×C511yescharacteristic
449C22C22×C3×C5×D411yescharacteristic
450C22C22×C3×C5×D411yescharacteristic
451C22C22×C3×C5×Q811yescharacteristic
452C22C2×C3×C5×#4111yescharacteristic
453C22C3×C5×H(5,𝔽2)11yescharacteristic
454C22C3×C5×2−1+411yescharacteristic
455C4—24no—
456C4—22no—
457C4—24no—
458C4—44no—
459C4—42no—
460C4C2×C3×C5×C4⋊C414yescomplemented
461C4C3×C4×C5×D414yescomplemented
462C3C5×D4×C4⋊C411yescharacteristic, direct product factor, Sylow
463C2—28no—
464C2C22×C3×C5×C4⋊C411yescharacteristic
465C2C2×C3×C4×C5×D411yescharacteristic
466C2C3×C5×#52011yescharacteristic
467C2C3×C5×D4211yescharacteristic
468C2C3×C5×#54711yescharacteristic
469C2C3×C5×D4×Q811yescharacteristic
470C2C3×C5×#55411yescharacteristic
subgroupG/H
center, socleC23×C3×C5C24
commutatorC22C23×C3×C4×C5
Frattini, cosocleC23C24×C3×C5
prime radicalC22×C3×C5×D4C22
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C23×C3×C5 ◁ G

Complements

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

NH ≅ G/Ntype
3. C22×C3×C5×C4⋊C4C2semidirect
4. C3×C5×#389C2semidirect
5. C3×C5×#385C2semidirect
6. C3×C5×#384C2semidirect
7. C3×C5×#380C2semidirect
8. C3×C4×C5×C4⋊C4C2semidirect
9. C5×D4×C4⋊C4C3direct (N × H)
14. C3×C4×C5×D4C4semidirect
29. C3×D4×C4⋊C4C5direct (N × H)
32. C22×C5×C4⋊C4C2×C3semidirect
33. C5×#389C2×C3semidirect
34. C5×#385C2×C3semidirect
35. C5×#384C2×C3semidirect
36. C5×#380C2×C3semidirect
37. C4×C5×C4⋊C4C2×C3semidirect
47. C22×C3×C4×C5C2×C4semidirect
60. C3×C5×C4⋊C4C2×C4semidirect
61. C3×C5×C4⋊C4D4direct (N × H)
63. C3×C5×C22⋊C4C2×C4semidirect
65. C3×C42×C5C2×C4semidirect
68. C22×C3×C4⋊C4C2×C5semidirect
69. C3×#389C2×C5semidirect
70. C3×#385C2×C5semidirect
71. C3×#384C2×C5semidirect
72. C3×#380C2×C5semidirect
73. C3×C4×C4⋊C4C2×C5semidirect
78. C4×C5×D4C3×C4semidirect
93. D4×C4⋊C4C3×C5direct (N × H)
102. C3×C5×D4C4⋊C4direct (N × H)
130. C3×C4×D4C4×C5semidirect
154. C22×C4×C5C2×C3×C4semidirect
167. C5×C4⋊C4C2×C3×C4semidirect
168. C5×C4⋊C4C3×D4direct (N × H)
170. C5×C22⋊C4C2×C3×C4semidirect
172. C42×C5C2×C3×C4semidirect
175. C22×C4⋊C4C2×C3×C5semidirect
176. #389C2×C3×C5semidirect
177. #385C2×C3×C5semidirect
178. #384C2×C3×C5semidirect
179. #380C2×C3×C5semidirect
180. C4×C4⋊C4C2×C3×C5semidirect
187. C22×C3×C5C2×C4⋊C4semidirect
200. C3×C4×C5C2×C4⋊C4semidirect
201. C3×C4×C5C4×D4semidirect
211. C22×C3×C4C2×C4×C5semidirect
224. C3×C4⋊C4C2×C4×C5semidirect
225. C3×C4⋊C4C5×D4direct (N × H)
227. C3×C22⋊C4C2×C4×C5semidirect
229. C3×C42C2×C4×C5semidirect
238. C5×D4C3×C4⋊C4direct (N × H)
266. C4×D4C3×C4×C5semidirect
297. C3×D4C5×C4⋊C4direct (N × H)
327. C22×C5C2×C3×C4⋊C4semidirect
340. C4×C5C2×C3×C4⋊C4semidirect
341. C4×C5C3×C4×D4semidirect
351. C22×C4C2×C3×C4×C5semidirect
364. C4⋊C4C2×C3×C4×C5semidirect
365. C4⋊C4C3×C5×D4direct (N × H)
367. C22⋊C4C2×C3×C4×C5semidirect
369. C42C2×C3×C4×C5semidirect
370. C3×C5D4×C4⋊C4direct (N × H)
377. C22×C3C2×C5×C4⋊C4semidirect
390. C3×C4C2×C5×C4⋊C4semidirect
391. C3×C4C4×C5×D4semidirect
408. D4C3×C5×C4⋊C4direct (N × H)
440. C5C3×D4×C4⋊C4direct (N × H)
447. C22C2×C3×C5×C4⋊C4semidirect
460. C4C2×C3×C5×C4⋊C4semidirect
461. C4C3×C4×C5×D4semidirect
462. C3C5×D4×C4⋊C4direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×C4×C5×D42
C22×C3×C5×C4⋊C42
C3×C5×#3892
C3×C5×#3852
C3×C5×#3842
C3×C5×#3802
C3×C4×C5×C4⋊C42
C5×D4×C4⋊C43
C3×D4×C4⋊C45