Finite Group Databasebeta

← C5×#75968 #14322884

Subgroups — C5×#75968 #14322884

Order 1920.

1200 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
1C2×C5×#892C211yesmaximal, characteristic
2C2×C5×D3×C4⋊C4C211yesmaximal, characteristic
3C2×C5×#872C211yesmaximal, characteristic
4C3×C5×#389C211yesmaximal, characteristic, complemented
5C5×#4989C212yesmaximal
6C5×#4984C211yesmaximal, characteristic, complemented
7C5×#4975C212yesmaximal, complemented
8C5×#4972C211yesmaximal, characteristic, complemented
9C5×#4928C211yesmaximal, characteristic, complemented
10C5×#4668C212yesmaximal
11C5×#4650C212yesmaximal, complemented
12C5×#2317—31nomaximal, Hall
13C22×C4×C5×D3C2212yes—
14C22×C4×C5×D3C2211yescharacteristic
15C2×C3×C5×C4⋊C4C2211yescharacteristic
16C2×C3×C5×C4⋊C4C2212yes—
17C2×C3×C5×C4⋊C4C2211yescharacteristic
18C2×C3×C42×C5C2211yescharacteristic
19C2×C5×(C2×D3)⋊C4C2211yescharacteristic
20C2×C5×(C2×D3)⋊C4C2211yescharacteristic
21C2×C5×(C2×D3)⋊C4C2212yes—
22C2×C5×C4⋊Dic3C2211yescharacteristic
23C2×C5×C4⋊Dic3C2212yes—
24C2×C5×C4⋊Dic3C2211yescharacteristic
25C2×C5×Dic3⋊C4C2211yescharacteristic
26C2×C5×Dic3⋊C4C2212yes—
27C2×C5×Dic3⋊C4C2211yescharacteristic
28C2×C5×Dic3⋊C4C2212yes—
29C2×C5×Dic3⋊C4C2212yes—
30C2×C4×C5×Dic3C2211yescharacteristic
31C2×C4×C5×Dic3C2212yes—
32C5×#892C418yescomplemented
33C5×D3×C4⋊C4—24no—
34C5×#872—24no—
35C3×C5×#95C2212yes—
36C5×C3⋊#95C2212yes—
37C5×C3⋊#95C2212yes—
38C5×C3⋊#95C2212yes—
39#75968C511yesmaximal, characteristic, direct product factor, Hall
40C2×C5×#117—31no—
41C2×C5×#117—31no—
42C22×C5×C4⋊C4—31no—
43C5×#389—31no—
44C5×#389—31no—
45C5×#389—31no—
46C5×#389D311yescharacteristic, complemented
47C5×#385—32no—
48C5×#385—32no—
49C5×#384—32no—
50C5×#382—32no—
51C23×C5×D3C2311yescharacteristic
52C22×C3×C4×C5C2311yescharacteristic
53C22×C3×C4×C5C2312yes—
54C22×C3×C4×C5C2311yescharacteristic
55C22×C3×C4×C5C2312yes—
56C22×C3×C4×C5C2311yescharacteristic
57C22×C5×Dic3C2311yescharacteristic
58C22×C5×Dic3C2311yescharacteristic
59C22×C5×Dic3C2312yes—
60C22×C5×Dic3C2312yes—
61C22×C5×Dic3C2311yescharacteristic
62C2×C4×C5×D3—24no—
63C2×C4×C5×D3—42no—
64C2×C4×C5×D3—42no—
65C2×C4×C5×D3C2×C414yes—
66C2×C4×C5×D3D414yes—
67C2×C4×C5×D3Q814yes—
68C3×C5×C4⋊C4—22no—
69C3×C5×C4⋊C4—42no—
70C3×C5×C4⋊C4C2×C414yescomplemented
71C3×C42×C5—22no—
72C5×(C2×D3)⋊C4—22no—
73C5×(C2×D3)⋊C4—22no—
74C5×(C2×D3)⋊C4C2×C418yes—
75C5×C4⋊Dic3—22no—
76C5×C4⋊Dic3—42no—
77C5×C4⋊Dic3C2×C414yescomplemented
78C5×Dic3⋊C4—22no—
79C5×Dic3⋊C4—22no—
80C5×Dic3⋊C4—24no—
81C5×Dic3⋊C4—42no—
82C5×Dic3⋊C4—42no—
83C4×C5×Dic3—22no—
84C4×C5×Dic3C2×C418yescomplemented
85C2×#892C2×C511yescharacteristic
86C2×D3×C4⋊C4C2×C511yescharacteristic
87C2×#872C2×C511yescharacteristic
88C3×#389C2×C511yescharacteristic, complemented
89#4989C2×C512yes—
90#4984C2×C511yescharacteristic, complemented
91#4975C2×C512yescomplemented
92#4972C2×C511yescharacteristic, complemented
93#4928C2×C511yescharacteristic, complemented
94#4668C2×C512yes—
95#4650C2×C512yescomplemented
96C23×C4×C5—31no—
97C23×C4×C5—32no—
98C5×#117—38no—
99C5×#117—64no—
100C2×C5×C4⋊C4—31no—
101C2×C5×C4⋊C4—31no—
102C2×C5×C4⋊C4—32no—
103C2×C5×C4⋊C4—31no—
104C2×C5×C4⋊C4—31no—
105C2×C5×C4⋊C4—32no—
106C2×C5×C4⋊C4—32no—
107C2×C5×C4⋊C4—32no—
108C2×C5×C4⋊C4—64no—
109C2×C5×C4⋊C4C2×D311yescharacteristic
110C2×C5×C4⋊C4C2×D312yes—
111C2×C5×C4⋊C4C2×D311yescharacteristic
112C2×C5×C22⋊C4—32no—
113C2×C5×C22⋊C4—31no—
114C2×C5×C22⋊C4—31no—
115C2×C42×C5—32no—
116C2×C42×C5—31no—
117C2×C42×C5C2×D311yescharacteristic
118C5×#95—32no—
119C5×#95—32no—
120C5×#95—32no—
121C5×#95C2×D312yes—
122#2317—31noSylow
123C23×C3×C5C2411yescharacteristic
124C22×C5×D3—21no—
125C22×C5×D3—21no—
126C22×C5×D3—21no—
127C22×C5×D3—21no—
128C22×C5×D3C22×C412yes—
129C22×C5×D3C2×D412yes—
130C22×C5×D3C2×Q812yes—
131C2×C3×C4×C5—22no—
132C2×C3×C4×C5—22no—
133C2×C3×C4×C5—21no—
134C2×C3×C4×C5—21no—
135C2×C3×C4×C5—22no—
136C2×C3×C4×C5—21no—
137C2×C3×C4×C5—22no—
138C2×C3×C4×C5—21no—
139C2×C3×C4×C5—22no—
140C2×C3×C4×C5—21no—
141C2×C3×C4×C5—21no—
142C2×C3×C4×C5C22×C414yes—
143C2×C3×C4×C5C22×C412yes—
144C2×C3×C4×C5C2×D412yes—
145C2×C3×C4×C5C2×Q812yes—
146C2×C5×Dic3—22no—
147C2×C5×Dic3—22no—
148C2×C5×Dic3—21no—
149C2×C5×Dic3—21no—
150C2×C5×Dic3—22no—
151C2×C5×Dic3—21no—
152C2×C5×Dic3—22no—
153C2×C5×Dic3—21no—
154C2×C5×Dic3—22no—
155C2×C5×Dic3—21no—
156C2×C5×Dic3—21no—
157C2×C5×Dic3C22×C414yes—
158C2×C5×Dic3C22×C412yes—
159C2×C5×Dic3C2×D412yes—
160C2×C5×Dic3C2×Q812yes—
161C4×C5×D3—48no—
162C4×C5×D3C4⋊C4116yescomplemented
163C22×C4×D3C22×C512yes—
164C22×C4×D3C22×C511yescharacteristic
165C2×C3×C4⋊C4C22×C511yescharacteristic
166C2×C3×C4⋊C4C22×C512yes—
167C2×C3×C4⋊C4C22×C511yescharacteristic
168C2×C3×C42C22×C511yescharacteristic
169C2×(C2×D3)⋊C4C22×C511yescharacteristic
170C2×(C2×D3)⋊C4C22×C511yescharacteristic
171C2×(C2×D3)⋊C4C22×C512yes—
172C2×C4⋊Dic3C22×C511yescharacteristic
173C2×C4⋊Dic3C22×C512yes—
174C2×C4⋊Dic3C22×C511yescharacteristic
175C2×Dic3⋊C4C22×C511yescharacteristic
176C2×Dic3⋊C4C22×C512yes—
177C2×Dic3⋊C4C22×C511yescharacteristic
178C2×Dic3⋊C4C22×C512yes—
179C2×Dic3⋊C4C22×C512yes—
180C2×C4×Dic3C22×C511yescharacteristic
181C2×C4×Dic3C22×C512yes—
182#892C4×C518yescomplemented
183D3×C4⋊C4—24no—
184#872—24no—
185C3×#95C22×C512yes—
186C3⋊#95C22×C512yes—
187C3⋊#95C22×C512yes—
188C3⋊#95C22×C512yes—
189C24×C5—31no—
190C22×C4×C5—31no—
191C22×C4×C5—34no—
192C22×C4×C5—34no—
193C22×C4×C5—34no—
194C22×C4×C5—32no—
195C22×C4×C5—31no—
196C22×C4×C5—31no—
197C22×C4×C5—32no—
198C22×C4×C5—64no—
199C22×C4×C5—122no—
200C22×C4×C5—122no—
201C22×C4×C5C22×D311yescharacteristic
202C22×C4×C5C22×D311yescharacteristic
203C22×C4×C5C22×D312yes—
204C22×C4×C5C22×D312yes—
205C22×C4×C5C22×D311yescharacteristic
206C5×C4⋊C4—22no—
207C5×C4⋊C4—34no—
208C5×C4⋊C4—42no—
209C5×C4⋊C4—64no—
210C5×C4⋊C4—62no—
211C5×C4⋊C4—62no—
212C5×C4⋊C4—62no—
213C5×C4⋊C4—122no—
214C5×C4⋊C4—122no—
215C5×C4⋊C4—122no—
216C5×C4⋊C4C4×D314yescomplemented
217C5×C22⋊C4—38no—
218C5×C22⋊C4—62no—
219C5×C22⋊C4—62no—
220C42×C5—22no—
221C42×C5—38no—
222C42×C5—62no—
223C2×#117—31no—
224C2×#117—31no—
225C22×C4⋊C4—31no—
226#389—31no—
227#389—31no—
228#389—31no—
229#389C5×D311yescharacteristic, complemented
230#385—32no—
231#385—32no—
232#384—32no—
233#382—32no—
234C22×C3×C5C23×C411yescharacteristic
235C22×C3×C5C22×D411yescharacteristic
236C22×C3×C5C22×Q811yescharacteristic
237C22×C3×C5H(5,𝔽2)11yescharacteristic
238C22×C3×C5H(5,𝔽2)11yescharacteristic
239C22×C3×C52−1+411yescharacteristic
240C22×C3×C52−1+411yescharacteristic
241C2×C5×D3—22no—
242C2×C5×D3—22no—
243C2×C5×D3—22no—
244C2×C5×D3—22no—
245C2×C5×D3—22no—
246C2×C5×D3—22no—
247C2×C5×D3C2×C4⋊C414yes—
248C3×C4×C5—24no—
249C3×C4×C5—42no—
250C3×C4×C5—41no—
251C3×C4×C5—41no—
252C3×C4×C5C2×C4⋊C414yes—
253C5×Dic3—24no—
254C5×Dic3—42no—
255C5×Dic3—41no—
256C5×Dic3—41no—
257C5×Dic3C2×C4⋊C414yes—
258C23×D3C23×C511yescharacteristic
259C22×C3×C4C23×C511yescharacteristic
260C22×C3×C4C23×C512yes—
261C22×C3×C4C23×C511yescharacteristic
262C22×C3×C4C23×C512yes—
263C22×C3×C4C23×C511yescharacteristic
264C22×Dic3C23×C511yescharacteristic
265C22×Dic3C23×C512yes—
266C22×Dic3C23×C511yescharacteristic
267C22×Dic3C23×C512yes—
268C22×Dic3C23×C511yescharacteristic
269C2×C4×D3—24no—
270C2×C4×D3—42no—
271C2×C4×D3—42no—
272C2×C4×D3C2×C4×C514yes—
273C2×C4×D3C5×D414yes—
274C2×C4×D3C5×Q814yes—
275C3×C4⋊C4—22no—
276C3×C4⋊C4—42no—
277C3×C4⋊C4C2×C4×C514yescomplemented
278C3×C42—22no—
279(C2×D3)⋊C4—22no—
280(C2×D3)⋊C4—22no—
281(C2×D3)⋊C4C2×C4×C518yes—
282C4⋊Dic3—22no—
283C4⋊Dic3—42no—
284C4⋊Dic3C2×C4×C514yescomplemented
285Dic3⋊C4—22no—
286Dic3⋊C4—22no—
287Dic3⋊C4—24no—
288Dic3⋊C4—42no—
289Dic3⋊C4—42no—
290C4×Dic3—22no—
291C4×Dic3C2×C4×C518yescomplemented
292C23×C5—32no—
293C23×C5—32no—
294C23×C5—32no—
295C23×C5—61no—
296C23×C5—61no—
297C23×C5—61no—
298C23×C5—61no—
299C23×C5C23×D311yescharacteristic
300C2×C4×C5—22no—
301C2×C4×C5—22no—
302C2×C4×C5—21no—
303C2×C4×C5—21no—
304C2×C4×C5—22no—
305C2×C4×C5—21no—
306C2×C4×C5—22no—
307C2×C4×C5—21no—
308C2×C4×C5—21no—
309C2×C4×C5—22no—
310C2×C4×C5—21no—
311C2×C4×C5—32no—
312C2×C4×C5—32no—
313C2×C4×C5—32no—
314C2×C4×C5—316no—
315C2×C4×C5—34no—
316C2×C4×C5—62no—
317C2×C4×C5—62no—
318C2×C4×C5—61no—
319C2×C4×C5—61no—
320C2×C4×C5—62no—
321C2×C4×C5—61no—
322C2×C4×C5—62no—
323C2×C4×C5—61no—
324C2×C4×C5—61no—
325C2×C4×C5—62no—
326C2×C4×C5—61no—
327C2×C4×C5—128no—
328C2×C4×C5C2×C4×D314yes—
329C2×C4×C5C2×C4×D312yes—
330C2×C4×C5D3×D412yes—
331C2×C4×C5D3×Q812yes—
332C23×C4—31no—
333C23×C4—32no—
334#117—38no—
335#117—64no—
336C2×C4⋊C4—31no—
337C2×C4⋊C4—32no—
338C2×C4⋊C4—31no—
339C2×C4⋊C4—31no—
340C2×C4⋊C4—31no—
341C2×C4⋊C4—32no—
342C2×C4⋊C4—32no—
343C2×C4⋊C4—32no—
344C2×C4⋊C4—64no—
345C2×C4⋊C4C2×C5×D311yescharacteristic
346C2×C4⋊C4C2×C5×D312yes—
347C2×C4⋊C4C2×C5×D311yescharacteristic
348C2×C22⋊C4—32no—
349C2×C22⋊C4—31no—
350C2×C22⋊C4—31no—
351C2×C42—32no—
352C2×C42—31no—
353C2×C42C2×C5×D311yescharacteristic
354#95—32no—
355#95—32no—
356#95—32no—
357#95C2×C5×D312yes—
358C2×C3×C5C22×C4⋊C411yescharacteristic
359C2×C3×C5#52011yescharacteristic
360C2×C3×C5#52011yescharacteristic
361C2×C3×C5#53511yescharacteristic
362C2×C3×C5#53611yescharacteristic
363C2×C3×C5#54411yescharacteristic
364C2×C3×C5#54411yescharacteristic
365C5×D3—24no—
366C23×C3C24×C511yescharacteristic
367C22×D3—21no—
368C22×D3—21no—
369C22×D3—21no—
370C22×D3—21no—
371C22×D3C22×C4×C512yes—
372C22×D3C2×C5×D412yes—
373C22×D3C2×C5×Q812yes—
374C2×C3×C4—22no—
375C2×C3×C4—22no—
376C2×C3×C4—21no—
377C2×C3×C4—21no—
378C2×C3×C4—22no—
379C2×C3×C4—21no—
380C2×C3×C4—22no—
381C2×C3×C4—21no—
382C2×C3×C4—22no—
383C2×C3×C4—21no—
384C2×C3×C4—21no—
385C2×C3×C4C22×C4×C514yes—
386C2×C3×C4C22×C4×C512yes—
387C2×C3×C4C2×C5×D412yes—
388C2×C3×C4C2×C5×Q812yes—
389C2×Dic3—22no—
390C2×Dic3—22no—
391C2×Dic3—21no—
392C2×Dic3—21no—
393C2×Dic3—22no—
394C2×Dic3—21no—
395C2×Dic3—22no—
396C2×Dic3—21no—
397C2×Dic3—22no—
398C2×Dic3—21no—
399C2×Dic3—21no—
400C2×Dic3C22×C4×C514yes—
401C2×Dic3C22×C4×C512yes—
402C2×Dic3C2×C5×D412yes—
403C2×Dic3C2×C5×Q812yes—
404C4×D3—48no—
405C4×D3C5×C4⋊C4116yescomplemented
406C22×C5—34no—
407C22×C5—62no—
408C22×C5—62no—
409C22×C5—62no—
410C22×C5—62no—
411C22×C5—62no—
412C22×C5—62no—
413C22×C5C22×C4×D311yescharacteristic
414C22×C5C2×D3×D411yescharacteristic
415C22×C5#100411yescharacteristic
416C22×C5C2×D3×Q811yescharacteristic
417C22×C5#100711yescharacteristic
418C22×C5#100911yescharacteristic
419C22×C5#101011yescharacteristic
420C4×C5—24no—
421C4×C5—34no—
422C4×C5—41no—
423C4×C5—42no—
424C4×C5—41no—
425C4×C5—64no—
426C4×C5—121no—
427C4×C5—122no—
428C4×C5—121no—
429C4×C5D3×C4⋊C414yes—
430C24—31no—
431C22×C4—31no—
432C22×C4—34no—
433C22×C4—34no—
434C22×C4—34no—
435C22×C4—32no—
436C22×C4—31no—
437C22×C4—32no—
438C22×C4—31no—
439C22×C4—64no—
440C22×C4—122no—
441C22×C4—122no—
442C22×C4C22×C5×D311yescharacteristic
443C22×C4C22×C5×D312yes—
444C22×C4C22×C5×D311yescharacteristic
445C22×C4C22×C5×D312yes—
446C22×C4C22×C5×D311yescharacteristic
447C4⋊C4—22no—
448C4⋊C4—34no—
449C4⋊C4—42no—
450C4⋊C4—64no—
451C4⋊C4—62no—
452C4⋊C4—62no—
453C4⋊C4—62no—
454C4⋊C4—122no—
455C4⋊C4—122no—
456C4⋊C4—122no—
457C4⋊C4C4×C5×D314yescomplemented
458C22⋊C4—38no—
459C22⋊C4—62no—
460C22⋊C4—62no—
461C42—22no—
462C42—38no—
463C42—62no—
464C3×C5#231711yescharacteristic, complemented, Hall
465C22×C3C23×C4×C511yescharacteristic
466C22×C3C22×C5×D411yescharacteristic
467C22×C3C22×C5×Q811yescharacteristic
468C22×C3C5×H(5,𝔽2)11yescharacteristic
469C22×C3C5×H(5,𝔽2)11yescharacteristic
470C22×C3C5×2−1+411yescharacteristic
471C22×C3C5×2−1+411yescharacteristic
472C2×D3—22no—
473C2×D3—22no—
474C2×D3—22no—
475C2×D3—22no—
476C2×D3—22no—
477C2×D3—22no—
478C2×D3C2×C5×C4⋊C414yes—
479C3×C4—24no—
480C3×C4—42no—
481C3×C4—41no—
482C3×C4—41no—
483C3×C4C2×C5×C4⋊C414yes—
484Dic3—24no—
485Dic3—42no—
486Dic3—41no—
487Dic3—41no—
488Dic3C2×C5×C4⋊C414yes—
489C2×C5—64no—
490C2×C5C2×D3×C4⋊C411yescharacteristic
491C2×C5#554611yescharacteristic
492C2×C5#557411yescharacteristic
493C2×C5#560711yescharacteristic
494C2×C5#562811yescharacteristic
495C2×C5#568911yescharacteristic
496C2×C5#572911yescharacteristic
497C23—32no—
498C23—32no—
499C23—32no—
500C23—61no—
501C23—61no—
502C23—61no—
503C23—61no—
504C23C23×C5×D311yescharacteristic
505C2×C4—22no—
506C2×C4—22no—
507C2×C4—21no—
508C2×C4—21no—
509C2×C4—22no—
510C2×C4—21no—
511C2×C4—22no—
512C2×C4—21no—
513C2×C4—21no—
514C2×C4—22no—
515C2×C4—21no—
516C2×C4—32no—
517C2×C4—32no—
518C2×C4—32no—
519C2×C4—316no—
520C2×C4—34no—
521C2×C4—62no—
522C2×C4—62no—
523C2×C4—61no—
524C2×C4—61no—
525C2×C4—62no—
526C2×C4—61no—
527C2×C4—62no—
528C2×C4—61no—
529C2×C4—61no—
530C2×C4—62no—
531C2×C4—61no—
532C2×C4—128no—
533C2×C4C2×C4×C5×D314yes—
534C2×C4C2×C4×C5×D312yes—
535C2×C4C5×D3×D412yes—
536C2×C4C5×D3×Q812yes—
537C2×C3C22×C5×C4⋊C411yescharacteristic
538C2×C3C5×#52011yescharacteristic
539C2×C3C5×#52011yescharacteristic
540C2×C3C5×#53511yescharacteristic
541C2×C3C5×#53611yescharacteristic
542C2×C3C5×#54411yescharacteristic
543C2×C3C5×#54411yescharacteristic
544D3—24no—
545C5#7596811yescharacteristic, direct product factor, Sylow
546C22—34no—
547C22—62no—
548C22—62no—
549C22—62no—
550C22—62no—
551C22—62no—
552C22—62no—
553C22C22×C4×C5×D311yescharacteristic
554C22C2×C5×D3×D411yescharacteristic
555C22C5×#100411yescharacteristic
556C22C2×C5×D3×Q811yescharacteristic
557C22C5×#100711yescharacteristic
558C22C5×#100911yescharacteristic
559C22C5×#101011yescharacteristic
560C4—24no—
561C4—34no—
562C4—42no—
563C4—41no—
564C4—41no—
565C4—64no—
566C4—122no—
567C4—121no—
568C4—121no—
569C4C5×D3×C4⋊C414yes—
570C3C5×#231711yescharacteristic, complemented, Sylow
571C2—64no—
572C2C2×C5×D3×C4⋊C411yescharacteristic
573C2C5×#554611yescharacteristic
574C2C5×#557411yescharacteristic
575C2C5×#560711yescharacteristic
576C2C5×#562811yescharacteristic
577C2C5×#568911yescharacteristic
578C2C5×#572911yescharacteristic
subgroupG/H
centerC23×C5C23×D3
commutatorC22×C3C23×C4×C5
FrattiniC23C23×C5×D3
FittingC3×C5×#389C2
socleC23×C3×C5C24
prime radicalC23×C5×D3C23
cosocleC23×C3C24×C5
hypercenterC5×#389D3
hypocenterC3C5×#2317
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23×C5 ◁ C5×#389

Complements

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

NH ≅ G/Ntype
4. C3×C5×#389C2semidirect
6. C5×#4984C2semidirect
7. C5×#4975C2semidirect
8. C5×#4972C2semidirect
9. C5×#4928C2semidirect
11. C5×#4650C2semidirect
32. C5×#892C4semidirect
39. #75968C5direct (N × H)
46. C5×#389D3semidirect
70. C3×C5×C4⋊C4C2×C4semidirect
77. C5×C4⋊Dic3C2×C4semidirect
84. C4×C5×Dic3C2×C4semidirect
88. C3×#389C2×C5semidirect
90. #4984C2×C5semidirect
91. #4975C2×C5semidirect
92. #4972C2×C5semidirect
93. #4928C2×C5semidirect
95. #4650C2×C5semidirect
162. C4×C5×D3C4⋊C4semidirect
182. #892C4×C5semidirect
216. C5×C4⋊C4C4×D3semidirect
229. #389C5×D3semidirect
277. C3×C4⋊C4C2×C4×C5semidirect
284. C4⋊Dic3C2×C4×C5semidirect
291. C4×Dic3C2×C4×C5semidirect
405. C4×D3C5×C4⋊C4semidirect
457. C4⋊C4C4×C5×D3semidirect
464. C3×C5#2317semidirect
545. C5#75968direct (N × H)
570. C3C5×#2317semidirect

Maximal subgroups

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

subgroupindex
C2×C5×#8922
C2×C5×D3×C4⋊C42
C2×C5×#8722
C3×C5×#3892
C5×#49892
C5×#49842
C5×#49752
C5×#49722
C5×#49282
C5×#46682
C5×#46502
C5×#23173
#759685