Finite Group Databasebeta

← C5×#82334 #14327103

Subgroups — C5×#82334 #14327103

Order 1920.

1408 conjugacy classes of subgroups.

The subgroup lattice has 596 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C4×C5×D4C211yesmaximal, characteristic
2C2×C5×D4×Dic3C211yesmaximal, characteristic
3C2×C5×D4×Dic3C211yesmaximal, characteristic
4C5×#5210C212yesmaximal, complemented
5C2×C5×C3⋊#95C212yesmaximal, complemented
6C5×#4977C211yesmaximal, characteristic, complemented
7C5×#4972C211yesmaximal, characteristic, complemented
8C5×#4946C212yesmaximal, complemented
9C5×#4942C212yesmaximal, complemented
10C4×C5×Dic3⋊C4C211yesmaximal, characteristic, complemented
11C5×#4928C211yesmaximal, characteristic, complemented
12C5×#2349—31nomaximal, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C23×C3×C4×C5C2212yes—
15C23×C5×Dic3C2212yes—
16C23×C5×Dic3C2212yes—
17C3×C4×C5×D4—24no—
18C2×C3×C5×C4⋊C4C2211yescharacteristic
19C2×C3×C5×C22⋊C4C2212yes—
20C2×C3×C42×C5C2211yescharacteristic
21C2×C5×#217C2212yes—
22C2×C5×#217C2212yes—
23C5×D4×Dic3—24no—
24C5×D4×Dic3C418yescomplemented
25C2×C5×C4⋊Dic3C2211yescharacteristic
26C2×C5×C4⋊Dic3C2211yescharacteristic
27C2×C5×Dic3⋊C4C2211yescharacteristic
28C2×C5×Dic3⋊C4C2211yescharacteristic
29C2×C5×Dic3⋊C4C2212yes—
30C2×C5×Dic3⋊C4C2212yes—
31C2×C4×C5×Dic3C2211yescharacteristic
32C2×C4×C5×Dic3C2211yescharacteristic
33C5×C3⋊#95C2212yes—
34C5×C3⋊#95C2211yescharacteristic
35C5×C3⋊#95C2211yescharacteristic
36C5×C3⋊#95C2212yes—
37C5×C3⋊#95C2212yes—
38C5×C3⋊#95C2212yes—
39#82334C511yesmaximal, characteristic, direct product factor, Hall
40C2×C4×C5×D4—31no—
41C2×C4×C5×D4—31no—
42C2×C4×C5×D4D311yescharacteristic
43C5×#389—31no—
44C5×#389—31no—
45C5×#385—32no—
46C5×#385—32no—
47C5×#382—31no—
48C5×#380—32no—
49C4×C5×C4⋊C4—31no—
50C2×C5×#95—32no—
51C24×C3×C5C2312yes—
52C2×C3×C5×D4C2×C414yes—
53C2×C3×C5×D4D414yes—
54C2×C3×C5×D4Q814yes—
55C22×C3×C4×C5—24no—
56C22×C3×C4×C5—24no—
57C22×C3×C4×C5—42no—
58C22×C3×C4×C5C2311yescharacteristic
59C22×C3×C4×C5C2312yes—
60C22×C3×C4×C5C2311yescharacteristic
61C22×C3×C4×C5C2311yescharacteristic
62C22×C5×Dic3—24no—
63C22×C5×Dic3—24no—
64C22×C5×Dic3—42no—
65C22×C5×Dic3—42no—
66C22×C5×Dic3—42no—
67C22×C5×Dic3C2×C418yescomplemented
68C22×C5×Dic3C2311yescharacteristic
69C22×C5×Dic3C2312yes—
70C22×C5×Dic3C2311yescharacteristic
71C22×C5×Dic3C2311yescharacteristic
72C22×C5×Dic3C2312yes—
73C22×C5×Dic3C2311yescharacteristic
74C3×C5×C4⋊C4—22no—
75C3×C5×C22⋊C4—24no—
76C3×C42×C5—22no—
77C5×#217—24no—
78C5×#217C2×C418yescomplemented
79C5×C4⋊Dic3—22no—
80C5×C4⋊Dic3C2×C414yescomplemented
81C5×Dic3⋊C4—22no—
82C5×Dic3⋊C4—22no—
83C5×Dic3⋊C4—42no—
84C5×Dic3⋊C4—42no—
85C4×C5×Dic3—22no—
86C4×C5×Dic3C2×C414yescomplemented
87C2×C3×C4×D4C2×C511yescharacteristic
88C2×D4×Dic3C2×C511yescharacteristic
89C2×D4×Dic3C2×C511yescharacteristic
90#5210C2×C512yescomplemented
91C2×C3⋊#95C2×C512yescomplemented
92#4977C2×C511yescharacteristic, complemented
93#4972C2×C511yescharacteristic, complemented
94#4946C2×C512yescomplemented
95#4942C2×C512yescomplemented
96C4×Dic3⋊C4C2×C511yescharacteristic, complemented
97#4928C2×C511yescharacteristic, complemented
98C22×C5×D4C2×D311yescharacteristic
99C23×C4×C5—32no—
100C23×C4×C5—32no—
101C23×C4×C5C2×D312yes—
102C4×C5×D4—24no—
103C4×C5×D4—38no—
104C4×C5×D4—64no—
105C2×C5×C4⋊C4—31no—
106C2×C5×C4⋊C4—31no—
107C2×C5×C4⋊C4—31no—
108C2×C5×C4⋊C4—31no—
109C2×C5×C4⋊C4—32no—
110C2×C5×C4⋊C4—32no—
111C2×C5×C4⋊C4C2×D311yescharacteristic
112C2×C5×C22⋊C4—32no—
113C2×C5×C22⋊C4—32no—
114C2×C5×C22⋊C4C2×D312yes—
115C2×C42×C5—31no—
116C2×C42×C5—31no—
117C2×C42×C5C2×D311yescharacteristic
118C5×#95—31no—
119C5×#95—32no—
120C5×#95—32no—
121C5×#95—32no—
122C5×#95—31no—
123C5×#95—32no—
124#2349—31noSylow
125C23×C3×C5—22no—
126C23×C3×C5—22no—
127C23×C3×C5—22no—
128C23×C3×C5—22no—
129C23×C3×C5C22×C414yes—
130C23×C3×C5C2×D414yes—
131C23×C3×C5C2×Q814yes—
132C23×C3×C5C2411yescharacteristic
133C3×C5×D4C4⋊C4116yescomplemented
134C2×C3×C4×C5—21no—
135C2×C3×C4×C5—21no—
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—22no—
142C2×C3×C4×C5—48no—
143C2×C3×C4×C5C22×C412yes—
144C2×C3×C4×C5C2×D412yes—
145C2×C3×C4×C5C2×Q812yes—
146C2×C3×C4×C5#4112yes—
147C2×C5×Dic3—21no—
148C2×C5×Dic3—21no—
149C2×C5×Dic3—21no—
150C2×C5×Dic3—22no—
151C2×C5×Dic3—22no—
152C2×C5×Dic3—21no—
153C2×C5×Dic3—21no—
154C2×C5×Dic3—21no—
155C2×C5×Dic3—21no—
156C2×C5×Dic3—22no—
157C2×C5×Dic3—21no—
158C2×C5×Dic3—22no—
159C2×C5×Dic3—21no—
160C2×C5×Dic3—22no—
161C2×C5×Dic3—48no—
162C2×C5×Dic3—48no—
163C2×C5×Dic3C22×C412yes—
164C2×C5×Dic3C22×C412yes—
165C2×C5×Dic3C22×C414yes—
166C2×C5×Dic3#4112yes—
167C22×C3×D4C22×C511yescharacteristic
168C23×C3×C4C22×C512yes—
169C23×Dic3C22×C512yes—
170C23×Dic3C22×C512yes—
171C3×C4×D4—24no—
172C2×C3×C4⋊C4C22×C511yescharacteristic
173C2×C3×C22⋊C4C22×C512yes—
174C2×C3×C42C22×C511yescharacteristic
175C2×#217C22×C512yes—
176C2×#217C22×C512yes—
177D4×Dic3—24no—
178D4×Dic3C4×C518yescomplemented
179C2×C4⋊Dic3C22×C511yescharacteristic
180C2×C4⋊Dic3C22×C511yescharacteristic
181C2×Dic3⋊C4C22×C511yescharacteristic
182C2×Dic3⋊C4C22×C511yescharacteristic
183C2×Dic3⋊C4C22×C512yes—
184C2×Dic3⋊C4C22×C512yes—
185C2×C4×Dic3C22×C511yescharacteristic
186C2×C4×Dic3C22×C511yescharacteristic
187C3⋊#95C22×C512yes—
188C3⋊#95C22×C511yescharacteristic
189C3⋊#95C22×C511yescharacteristic
190C3⋊#95C22×C512yes—
191C3⋊#95C22×C512yes—
192C3⋊#95C22×C512yes—
193C24×C5C22×D312yes—
194C2×C5×D4Dic614yes—
195C2×C5×D4C4×D314yes—
196C2×C5×D4#6714yes—
197C22×C4×C5—24no—
198C22×C4×C5—24no—
199C22×C4×C5—31no—
200C22×C4×C5—31no—
201C22×C4×C5—31no—
202C22×C4×C5—32no—
203C22×C4×C5—38no—
204C22×C4×C5—31no—
205C22×C4×C5—32no—
206C22×C4×C5—42no—
207C22×C4×C5—64no—
208C22×C4×C5—64no—
209C22×C4×C5—122no—
210C22×C4×C5—122no—
211C22×C4×C5—122no—
212C22×C4×C5C22×D311yescharacteristic
213C22×C4×C5C22×D312yes—
214C22×C4×C5C22×D311yescharacteristic
215C22×C4×C5C22×D311yescharacteristic
216C5×C4⋊C4—22no—
217C5×C4⋊C4—34no—
218C5×C4⋊C4—62no—
219C5×C4⋊C4—62no—
220C5×C4⋊C4—62no—
221C5×C4⋊C4—122no—
222C5×C4⋊C4—122no—
223C5×C22⋊C4—24no—
224C5×C22⋊C4—38no—
225C5×C22⋊C4—64no—
226C42×C5—22no—
227C42×C5—34no—
228C42×C5—62no—
229C2×C4×D4—31no—
230C2×C4×D4—31no—
231C2×C4×D4C5×D311yescharacteristic
232#389—31no—
233#389—31no—
234#385—32no—
235#385—32no—
236#382—31no—
237#380—32no—
238C4×C4⋊C4—31no—
239C2×#95—32no—
240C22×C3×C5—24no—
241C22×C3×C5—24no—
242C22×C3×C5—24no—
243C22×C3×C5—24no—
244C22×C3×C5—24no—
245C22×C3×C5—24no—
246C22×C3×C5C2×C4⋊C418yes—
247C22×C3×C5C23×C411yescharacteristic
248C22×C3×C5C22×D411yescharacteristic
249C22×C3×C5C22×Q811yescharacteristic
250C22×C3×C5C2×#4111yescharacteristic
251C22×C3×C5C2×#4111yescharacteristic
252C22×C3×C5H(5,𝔽2)11yescharacteristic
253C22×C3×C5H(5,𝔽2)11yescharacteristic
254C3×C4×C5—22no—
255C3×C4×C5—41no—
256C3×C4×C5—42no—
257C3×C4×C5C2×C4⋊C414yes—
258C5×Dic3—22no—
259C5×Dic3—22no—
260C5×Dic3—24no—
261C5×Dic3—22no—
262C5×Dic3—41no—
263C5×Dic3—42no—
264C24×C3C23×C512yes—
265C2×C3×D4C2×C4×C514yes—
266C2×C3×D4C5×D414yes—
267C2×C3×D4C5×Q814yes—
268C22×C3×C4—24no—
269C22×C3×C4—24no—
270C22×C3×C4—42no—
271C22×C3×C4C23×C512yes—
272C22×C3×C4C23×C511yescharacteristic
273C22×C3×C4C23×C511yescharacteristic
274C22×C3×C4C23×C511yescharacteristic
275C22×Dic3—24no—
276C22×Dic3—24no—
277C22×Dic3—42no—
278C22×Dic3—42no—
279C22×Dic3—42no—
280C22×Dic3C2×C4×C518yescomplemented
281C22×Dic3C23×C512yes—
282C22×Dic3C23×C511yescharacteristic
283C22×Dic3C23×C511yescharacteristic
284C22×Dic3C23×C511yescharacteristic
285C22×Dic3C23×C512yes—
286C22×Dic3C23×C511yescharacteristic
287C3×C4⋊C4—22no—
288C3×C22⋊C4—24no—
289C3×C42—22no—
290#217—24no—
291#217C2×C4×C518yescomplemented
292C4⋊Dic3—22no—
293C4⋊Dic3C2×C4×C514yescomplemented
294Dic3⋊C4—22no—
295Dic3⋊C4—22no—
296Dic3⋊C4—42no—
297Dic3⋊C4—42no—
298C4×Dic3—22no—
299C4×Dic3C2×C4×C514yescomplemented
300C23×C5—22no—
301C23×C5—22no—
302C23×C5—22no—
303C23×C5—22no—
304C23×C5C2×Dic614yes—
305C23×C5C2×C4×D314yes—
306C23×C5C2×#6714yes—
307C23×C5C23×D311yescharacteristic
308C5×D4Dic3⋊C4116yescomplemented
309C2×C4×C5—21no—
310C2×C4×C5—21no—
311C2×C4×C5—22no—
312C2×C4×C5—22no—
313C2×C4×C5—21no—
314C2×C4×C5—21no—
315C2×C4×C5—21no—
316C2×C4×C5—22no—
317C2×C4×C5—32no—
318C2×C4×C5—32no—
319C2×C4×C5—34no—
320C2×C4×C5—32no—
321C2×C4×C5—48no—
322C2×C4×C5—61no—
323C2×C4×C5—62no—
324C2×C4×C5—61no—
325C2×C4×C5—61no—
326C2×C4×C5—62no—
327C2×C4×C5—61no—
328C2×C4×C5—61no—
329C2×C4×C5—61no—
330C2×C4×C5—61no—
331C2×C4×C5—61no—
332C2×C4×C5—62no—
333C2×C4×C5—62no—
334C2×C4×C5—61no—
335C2×C4×C5—62no—
336C2×C4×C5—128no—
337C2×C4×C5—128no—
338C2×C4×C5C2×Dic612yes—
339C2×C4×C5C2×C4×D312yes—
340C2×C4×C5#23712yes—
341C2×C4×C5C2×#6712yes—
342C22×D4C2×C5×D311yescharacteristic
343C23×C4—32no—
344C23×C4—32no—
345C23×C4C2×C5×D312yes—
346C4×D4—24no—
347C4×D4—38no—
348C4×D4—64no—
349C2×C4⋊C4—31no—
350C2×C4⋊C4—31no—
351C2×C4⋊C4—31no—
352C2×C4⋊C4—31no—
353C2×C4⋊C4—32no—
354C2×C4⋊C4—32no—
355C2×C4⋊C4C2×C5×D311yescharacteristic
356C2×C22⋊C4—32no—
357C2×C22⋊C4—32no—
358C2×C22⋊C4C2×C5×D312yes—
359C2×C42—31no—
360C2×C42—31no—
361C2×C42C2×C5×D311yescharacteristic
362#95—31no—
363#95—32no—
364#95—32no—
365#95—32no—
366#95—31no—
367#95—32no—
368C2×C3×C5—28no—
369C2×C3×C5C22×C4⋊C411yescharacteristic
370C2×C3×C5C4×#4111yescharacteristic
371C2×C3×C5#51811yescharacteristic
372C2×C3×C5#54611yescharacteristic
373C2×C3×C5#54611yescharacteristic
374C2×C3×C5#55411yescharacteristic
375C2×C3×C5#55411yescharacteristic
376C23×C3—22no—
377C23×C3—22no—
378C23×C3—22no—
379C23×C3—22no—
380C23×C3C22×C4×C514yes—
381C23×C3C2×C5×D414yes—
382C23×C3C2×C5×Q814yes—
383C23×C3C24×C511yescharacteristic
384C3×D4C5×C4⋊C4116yescomplemented
385C2×C3×C4—21no—
386C2×C3×C4—21no—
387C2×C3×C4—21no—
388C2×C3×C4—22no—
389C2×C3×C4—21no—
390C2×C3×C4—22no—
391C2×C3×C4—21no—
392C2×C3×C4—22no—
393C2×C3×C4—48no—
394C2×C3×C4C22×C4×C512yes—
395C2×C3×C4C2×C5×D412yes—
396C2×C3×C4C2×C5×Q812yes—
397C2×C3×C4C5×#4112yes—
398C2×Dic3—21no—
399C2×Dic3—21no—
400C2×Dic3—21no—
401C2×Dic3—22no—
402C2×Dic3—22no—
403C2×Dic3—21no—
404C2×Dic3—21no—
405C2×Dic3—21no—
406C2×Dic3—21no—
407C2×Dic3—22no—
408C2×Dic3—21no—
409C2×Dic3—22no—
410C2×Dic3—21no—
411C2×Dic3—22no—
412C2×Dic3—48no—
413C2×Dic3—48no—
414C2×Dic3C22×C4×C512yes—
415C2×Dic3C22×C4×C512yes—
416C2×Dic3C22×C4×C514yes—
417C2×Dic3C5×#4112yes—
418C22×C5—24no—
419C22×C5—24no—
420C22×C5—24no—
421C22×C5—24no—
422C22×C5—24no—
423C22×C5—24no—
424C22×C5C2×Dic3⋊C418yes—
425C22×C5C22×Dic611yescharacteristic
426C22×C5C22×C4×D311yescharacteristic
427C22×C5C2×#23711yescharacteristic
428C22×C5#100411yescharacteristic
429C22×C5D3×#4111yescharacteristic
430C22×C5#100911yescharacteristic
431C22×C5C22×#6711yescharacteristic
432C4×C5—22no—
433C4×C5—42no—
434C4×C5—41no—
435C4×C5—62no—
436C4×C5—64no—
437C4×C5—62no—
438C4×C5—62no—
439C4×C5—121no—
440C4×C5—122no—
441C4×C5C2×Dic3⋊C414yes—
442C24C22×C5×D312yes—
443C2×D4C5×Dic614yes—
444C2×D4C4×C5×D314yes—
445C2×D4C5×#6714yes—
446C22×C4—24no—
447C22×C4—24no—
448C22×C4—31no—
449C22×C4—31no—
450C22×C4—31no—
451C22×C4—32no—
452C22×C4—38no—
453C22×C4—32no—
454C22×C4—31no—
455C22×C4—42no—
456C22×C4—64no—
457C22×C4—64no—
458C22×C4—122no—
459C22×C4—122no—
460C22×C4—122no—
461C22×C4C22×C5×D312yes—
462C22×C4C22×C5×D311yescharacteristic
463C22×C4C22×C5×D311yescharacteristic
464C22×C4C22×C5×D311yescharacteristic
465C4⋊C4—22no—
466C4⋊C4—34no—
467C4⋊C4—62no—
468C4⋊C4—62no—
469C4⋊C4—62no—
470C4⋊C4—122no—
471C4⋊C4—122no—
472C22⋊C4—24no—
473C22⋊C4—38no—
474C22⋊C4—64no—
475C42—22no—
476C42—34no—
477C42—62no—
478C3×C5#234911yescharacteristic, complemented, Hall
479C22×C3—24no—
480C22×C3—24no—
481C22×C3—24no—
482C22×C3—24no—
483C22×C3—24no—
484C22×C3—24no—
485C22×C3C2×C5×C4⋊C418yes—
486C22×C3C23×C4×C511yescharacteristic
487C22×C3C22×C5×D411yescharacteristic
488C22×C3C22×C5×Q811yescharacteristic
489C22×C3C2×C5×#4111yescharacteristic
490C22×C3C2×C5×#4111yescharacteristic
491C22×C3C5×H(5,𝔽2)11yescharacteristic
492C22×C3C5×H(5,𝔽2)11yescharacteristic
493C3×C4—22no—
494C3×C4—41no—
495C3×C4—42no—
496C3×C4C2×C5×C4⋊C414yes—
497Dic3—22no—
498Dic3—22no—
499Dic3—24no—
500Dic3—22no—
501Dic3—41no—
502Dic3—42no—
503C2×C5—28no—
504C2×C5C4×#23711yescharacteristic
505C2×C5#553911yescharacteristic
506C2×C5#554311yescharacteristic
507C2×C5#554511yescharacteristic
508C2×C5C22×Dic3⋊C411yescharacteristic
509C2×C5#580611yescharacteristic
510C2×C5#582911yescharacteristic
511C23—22no—
512C23—22no—
513C23—22no—
514C23—22no—
515C23C2×C5×Dic614yes—
516C23C2×C4×C5×D314yes—
517C23C2×C5×#6714yes—
518C23C23×C5×D311yescharacteristic
519D4C5×Dic3⋊C4116yescomplemented
520C2×C4—21no—
521C2×C4—21no—
522C2×C4—22no—
523C2×C4—22no—
524C2×C4—21no—
525C2×C4—21no—
526C2×C4—21no—
527C2×C4—22no—
528C2×C4—32no—
529C2×C4—32no—
530C2×C4—34no—
531C2×C4—32no—
532C2×C4—48no—
533C2×C4—61no—
534C2×C4—62no—
535C2×C4—61no—
536C2×C4—61no—
537C2×C4—62no—
538C2×C4—61no—
539C2×C4—61no—
540C2×C4—61no—
541C2×C4—61no—
542C2×C4—61no—
543C2×C4—62no—
544C2×C4—62no—
545C2×C4—61no—
546C2×C4—62no—
547C2×C4—128no—
548C2×C4—128no—
549C2×C4C2×C5×Dic612yes—
550C2×C4C2×C4×C5×D312yes—
551C2×C4C5×#23712yes—
552C2×C4C2×C5×#6712yes—
553C2×C3—28no—
554C2×C3C22×C5×C4⋊C411yescharacteristic
555C2×C3C4×C5×#4111yescharacteristic
556C2×C3C5×#51811yescharacteristic
557C2×C3C5×#54611yescharacteristic
558C2×C3C5×#54611yescharacteristic
559C2×C3C5×#55411yescharacteristic
560C2×C3C5×#55411yescharacteristic
561C5#8233411yescharacteristic, direct product factor, Sylow
562C22—24no—
563C22—24no—
564C22—24no—
565C22—24no—
566C22—24no—
567C22—24no—
568C22C2×C5×Dic3⋊C418yes—
569C22C22×C5×Dic611yescharacteristic
570C22C22×C4×C5×D311yescharacteristic
571C22C2×C5×#23711yescharacteristic
572C22C5×#100411yescharacteristic
573C22C5×D3×#4111yescharacteristic
574C22C5×#100911yescharacteristic
575C22C22×C5×#6711yescharacteristic
576C4—22no—
577C4—42no—
578C4—41no—
579C4—62no—
580C4—62no—
581C4—64no—
582C4—62no—
583C4—121no—
584C4—122no—
585C4C2×C5×Dic3⋊C414yes—
586C3C5×#234911yescharacteristic, complemented, Sylow
587C2—28no—
588C2C4×C5×#23711yescharacteristic
589C2C5×#553911yescharacteristic
590C2C5×#554311yescharacteristic
591C2C5×#554511yescharacteristic
592C2C22×C5×Dic3⋊C411yescharacteristic
593C2C5×#580611yescharacteristic
594C2C5×#582911yescharacteristic
subgroupG/H
centerC23×C5C23×D3
commutatorC22×C3C23×C4×C5
FrattiniC23C23×C5×D3
FittingC2×C3×C4×C5×D4C2
socleC23×C3×C5C24
prime radicalC22×C3×C5×D4C22
cosocleC23×C3C24×C5
hypercenterC2×C4×C5×D4D3
hypocenterC3C5×#2349
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23×C5 ◁ C2×C4×C5×D4

Complements

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

NH ≅ G/Ntype
4. C5×#5210C2semidirect
5. C2×C5×C3⋊#95C2semidirect
6. C5×#4977C2semidirect
7. C5×#4972C2semidirect
8. C5×#4946C2semidirect
9. C5×#4942C2semidirect
10. C4×C5×Dic3⋊C4C2semidirect
11. C5×#4928C2semidirect
24. C5×D4×Dic3C4semidirect
39. #82334C5direct (N × H)
67. C22×C5×Dic3C2×C4semidirect
78. C5×#217C2×C4semidirect
80. C5×C4⋊Dic3C2×C4semidirect
86. C4×C5×Dic3C2×C4semidirect
90. #5210C2×C5semidirect
91. C2×C3⋊#95C2×C5semidirect
92. #4977C2×C5semidirect
93. #4972C2×C5semidirect
94. #4946C2×C5semidirect
95. #4942C2×C5semidirect
96. C4×Dic3⋊C4C2×C5semidirect
97. #4928C2×C5semidirect
133. C3×C5×D4C4⋊C4semidirect
178. D4×Dic3C4×C5semidirect
280. C22×Dic3C2×C4×C5semidirect
291. #217C2×C4×C5semidirect
293. C4⋊Dic3C2×C4×C5semidirect
299. C4×Dic3C2×C4×C5semidirect
308. C5×D4Dic3⋊C4semidirect
384. C3×D4C5×C4⋊C4semidirect
478. C3×C5#2349semidirect
519. D4C5×Dic3⋊C4semidirect
561. C5#82334direct (N × H)
586. C3C5×#2349semidirect

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
C2×C5×D4×Dic32
C5×#52102
C2×C5×C3⋊#952
C5×#49772
C5×#49722
C5×#49462
C5×#49422
C4×C5×Dic3⋊C42
C5×#49282
C5×#23493
#823345