Finite Group Databasebeta

← C5×#82579 #14328116

Subgroups — C5×#82579 #14328116

Order 1920.

1856 conjugacy classes of subgroups.

The subgroup lattice has 632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C5×#120C211yesmaximal, characteristic
2C22×C5×#217C212yesmaximal, complemented
3C2×C5×D4×Dic3C212yesmaximal, complemented
4C5×#5221C211yesmaximal, characteristic, complemented
5C5×#5220C211yesmaximal, characteristic, complemented
6C5×#5220C212yesmaximal, complemented
7C5×#4951C212yesmaximal, complemented
8C5×#4950C212yesmaximal, complemented
9C5×Dic3×C22⋊C4C212yesmaximal, complemented
10C5×#2358—31nomaximal, Hall
11C25×C3×C5C2211yescharacteristic
12C22×C3×C5×D4C2212yes—
13C22×C3×C5×D4C2211yescharacteristic
14C23×C5×Dic3C2212yes—
15C23×C5×Dic3C2212yes—
16C23×C5×Dic3C2211yescharacteristic, complemented
17C3×C5×#120C418yescomplemented
18C2×C3×C5×C22⋊C4C2212yes—
19C2×C3×C5×C22⋊C4C2211yescharacteristic
20C2×C5×#217—28no—
21C2×C5×#217C2212yes—
22C2×C5×#217C2212yes—
23C2×C5×#217C2212yes—
24C2×C5×#217C2212yes—
25C2×C5×#217C2212yescomplemented
26C2×C5×#217C2211yescharacteristic, complemented
27C5×D4×Dic3—28no—
28C2×C5×C4⋊Dic3C2212yescomplemented
29C2×C5×C4⋊Dic3C2211yescharacteristic, complemented
30C2×C4×C5×Dic3C2212yescomplemented
31C2×C4×C5×Dic3C2211yescharacteristic, complemented
32C5×C3⋊#95C2212yescomplemented
33C5×C3⋊#95C2212yescomplemented
34C5×C3⋊#95C2212yescomplemented
35#82579C511yesmaximal, characteristic, direct product factor, Hall
36C2×C5×#120D311yescharacteristic
37C2×C4×C5×D4—32no—
38C22×C5×C22⋊C4—32no—
39C5×#390—31no—
40C5×#388—32no—
41C5×#386—32no—
42C5×#386—31no—
43C5×#385—32no—
44C4×C5×C22⋊C4—32no—
45C24×C3×C5—24no—
46C24×C3×C5—24no—
47C24×C3×C5—41no—
48C24×C3×C5—41no—
49C24×C3×C5C2×C414yescomplemented
50C24×C3×C5C2311yescharacteristic
51C24×C3×C5C2311yescharacteristic
52C24×C3×C5C2312yes—
53C2×C3×C5×D4—24no—
54C2×C3×C5×D4—24no—
55C2×C3×C5×D4—41no—
56C2×C3×C5×D4—41no—
57C2×C3×C5×D4C2×C418yescomplemented
58C2×C3×C5×D4C2×C414yescomplemented
59C22×C3×C4×C5C2312yes—
60C22×C3×C4×C5C2311yescharacteristic
61C22×C5×Dic3—24no—
62C22×C5×Dic3—24no—
63C22×C5×Dic3—24no—
64C22×C5×Dic3—24no—
65C22×C5×Dic3—24no—
66C22×C5×Dic3—42no—
67C22×C5×Dic3—42no—
68C22×C5×Dic3—41no—
69C22×C5×Dic3C2312yes—
70C22×C5×Dic3C2312yes—
71C22×C5×Dic3C2312yes—
72C22×C5×Dic3C2312yes—
73C3×C5×C22⋊C4C2×C414yescomplemented
74C3×C5×C22⋊C4C2×C418yescomplemented
75C5×#217—24no—
76C5×#217—24no—
77C5×#217—24no—
78C5×#217—24no—
79C5×#217—41no—
80C5×#217D418yescomplemented
81C5×C4⋊Dic3—24no—
82C5×C4⋊Dic3—41no—
83C4×C5×Dic3—24no—
84C4×C5×Dic3—41no—
85C2×C3×#120C2×C511yescharacteristic
86C22×#217C2×C512yescomplemented
87C2×D4×Dic3C2×C512yescomplemented
88#5221C2×C511yescharacteristic, complemented
89#5220C2×C511yescharacteristic, complemented
90#5220C2×C512yescomplemented
91#4951C2×C512yescomplemented
92#4950C2×C512yescomplemented
93Dic3×C22⋊C4C2×C512yescomplemented
94C25×C5C2×D311yescharacteristic
95C22×C5×D4C2×D312yes—
96C22×C5×D4C2×D311yescharacteristic
97C23×C4×C5—32no—
98C23×C4×C5—32no—
99C23×C4×C5—31no—
100C5×#120Dic318yescomplemented
101C4×C5×D4—68no—
102C2×C5×C4⋊C4—32no—
103C2×C5×C4⋊C4—31no—
104C2×C5×C22⋊C4—32no—
105C2×C5×C22⋊C4—32no—
106C2×C5×C22⋊C4—32no—
107C2×C5×C22⋊C4—32no—
108C2×C5×C22⋊C4—32no—
109C2×C5×C22⋊C4—31no—
110C2×C5×C22⋊C4—68no—
111C2×C5×C22⋊C4C2×D312yes—
112C2×C5×C22⋊C4C2×D311yescharacteristic
113C2×C42×C5—32no—
114C2×C42×C5—31no—
115C5×#95—32no—
116C5×#95—32no—
117C5×#95—32no—
118#2358—31noSylow
119C23×C3×C5—22no—
120C23×C3×C5—22no—
121C23×C3×C5—22no—
122C23×C3×C5—22no—
123C23×C3×C5—216no—
124C23×C3×C5—22no—
125C23×C3×C5—22no—
126C23×C3×C5—22no—
127C23×C3×C5—22no—
128C23×C3×C5—21no—
129C23×C3×C5—21no—
130C23×C3×C5—21no—
131C23×C3×C5—21no—
132C23×C3×C5—44no—
133C23×C3×C5—44no—
134C23×C3×C5—48no—
135C23×C3×C5—44no—
136C23×C3×C5C22×C412yes—
137C23×C3×C5C22×C412yes—
138C23×C3×C5C22×C414yes—
139C23×C3×C5C2×D414yes—
140C23×C3×C5#4114yes—
141C23×C3×C5C2411yescharacteristic
142C3×C5×D4—216no—
143C3×C5×D4—44no—
144C2×C3×C4×C5—22no—
145C2×C3×C4×C5—22no—
146C2×C3×C4×C5—21no—
147C2×C3×C4×C5—21no—
148C2×C3×C4×C5C22×C414yes—
149C2×C3×C4×C5C22×C412yes—
150C2×C5×Dic3—22no—
151C2×C5×Dic3—22no—
152C2×C5×Dic3—22no—
153C2×C5×Dic3—22no—
154C2×C5×Dic3—22no—
155C2×C5×Dic3—22no—
156C2×C5×Dic3—22no—
157C2×C5×Dic3—22no—
158C2×C5×Dic3—22no—
159C2×C5×Dic3—22no—
160C2×C5×Dic3—44no—
161C2×C5×Dic3—48no—
162C2×C5×Dic3—48no—
163C2×C5×Dic3C2×D414yes—
164C2×C5×Dic3C2×D414yes—
165C25×C3C22×C511yescharacteristic
166C22×C3×D4C22×C512yes—
167C22×C3×D4C22×C511yescharacteristic
168C23×Dic3C22×C512yes—
169C23×Dic3C22×C512yes—
170C23×Dic3C22×C511yescharacteristic, complemented
171C3×#120C4×C518yescomplemented
172C2×C3×C22⋊C4C22×C512yes—
173C2×C3×C22⋊C4C22×C511yescharacteristic
174C2×#217—28no—
175C2×#217C22×C512yes—
176C2×#217C22×C512yes—
177C2×#217C22×C512yes—
178C2×#217C22×C512yes—
179C2×#217C22×C512yescomplemented
180C2×#217C22×C511yescharacteristic, complemented
181D4×Dic3—28no—
182C2×C4⋊Dic3C22×C512yescomplemented
183C2×C4⋊Dic3C22×C511yescharacteristic, complemented
184C2×C4×Dic3C22×C512yescomplemented
185C2×C4×Dic3C22×C511yescharacteristic, complemented
186C3⋊#95C22×C512yescomplemented
187C3⋊#95C22×C512yescomplemented
188C3⋊#95C22×C512yescomplemented
189C24×C5—24no—
190C24×C5—24no—
191C24×C5—41no—
192C24×C5—41no—
193C24×C5C2×Dic314yescomplemented
194C24×C5C22×D311yescharacteristic
195C24×C5C22×D311yescharacteristic
196C24×C5C22×D312yes—
197C2×C5×D4—24no—
198C2×C5×D4—24no—
199C2×C5×D4—41no—
200C2×C5×D4—41no—
201C2×C5×D4C2×Dic318yescomplemented
202C2×C5×D4C2×Dic314yescomplemented
203C22×C4×C5—32no—
204C22×C4×C5—32no—
205C22×C4×C5—32no—
206C22×C4×C5—32no—
207C22×C4×C5—64no—
208C22×C4×C5—64no—
209C22×C4×C5—64no—
210C22×C4×C5—64no—
211C22×C4×C5—64no—
212C22×C4×C5—122no—
213C22×C4×C5—121no—
214C22×C4×C5—122no—
215C22×C4×C5C22×D312yes—
216C22×C4×C5C22×D311yescharacteristic
217C5×C4⋊C4—64no—
218C5×C4⋊C4—121no—
219C5×C22⋊C4—38no—
220C5×C22⋊C4—64no—
221C5×C22⋊C4—64no—
222C5×C22⋊C4—64no—
223C5×C22⋊C4—64no—
224C5×C22⋊C4—121no—
225C5×C22⋊C4C2×Dic314yescomplemented
226C5×C22⋊C4C2×Dic318yescomplemented
227C42×C5—64no—
228C42×C5—121no—
229C2×#120C5×D311yescharacteristic
230C2×C4×D4—32no—
231C22×C22⋊C4—32no—
232#390—31no—
233#388—32no—
234#386—31no—
235#386—32no—
236#385—32no—
237C4×C22⋊C4—32no—
238C22×C3×C5—24no—
239C22×C3×C5—24no—
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×C5—22no—
247C22×C3×C5—22no—
248C22×C3×C5—416no—
249C22×C3×C5—41no—
250C22×C3×C5—41no—
251C22×C3×C5—42no—
252C22×C3×C5—42no—
253C22×C3×C5—41no—
254C22×C3×C5—41no—
255C22×C3×C5C4×D418yescomplemented
256C22×C3×C5C23×C411yescharacteristic
257C22×C3×C5C22×D412yes—
258C22×C3×C5C2×#4112yes—
259C22×C3×C5H(5,𝔽2)11yescharacteristic
260C22×C3×C5H(5,𝔽2)11yescharacteristic
261C3×C4×C5—24no—
262C3×C4×C5—22no—
263C5×Dic3—24no—
264C5×Dic3—24no—
265C5×Dic3—42no—
266C5×Dic3—42no—
267C24×C3—24no—
268C24×C3—24no—
269C24×C3—41no—
270C24×C3—41no—
271C24×C3C2×C4×C514yescomplemented
272C24×C3C23×C511yescharacteristic
273C24×C3C23×C511yescharacteristic
274C24×C3C23×C512yes—
275C2×C3×D4—24no—
276C2×C3×D4—24no—
277C2×C3×D4—41no—
278C2×C3×D4—41no—
279C2×C3×D4C2×C4×C518yescomplemented
280C2×C3×D4C2×C4×C514yescomplemented
281C22×C3×C4C23×C512yes—
282C22×C3×C4C23×C511yescharacteristic
283C22×Dic3—24no—
284C22×Dic3—24no—
285C22×Dic3—24no—
286C22×Dic3—24no—
287C22×Dic3—24no—
288C22×Dic3—42no—
289C22×Dic3—42no—
290C22×Dic3—41no—
291C22×Dic3C23×C512yes—
292C22×Dic3C23×C512yes—
293C22×Dic3C23×C512yes—
294C22×Dic3C23×C512yes—
295C3×C22⋊C4C2×C4×C514yescomplemented
296C3×C22⋊C4C2×C4×C518yescomplemented
297#217—24no—
298#217—24no—
299#217—24no—
300#217—24no—
301#217—41no—
302#217C5×D418yescomplemented
303C4⋊Dic3—24no—
304C4⋊Dic3—41no—
305C4×Dic3—24no—
306C4×Dic3—41no—
307C23×C5—22no—
308C23×C5—22no—
309C23×C5—22no—
310C23×C5—22no—
311C23×C5—216no—
312C23×C5—22no—
313C23×C5—22no—
314C23×C5—22no—
315C23×C5—22no—
316C23×C5—21no—
317C23×C5—21no—
318C23×C5—21no—
319C23×C5—21no—
320C23×C5—44no—
321C23×C5—44no—
322C23×C5—44no—
323C23×C5—48no—
324C23×C5D3×D414yes—
325C23×C5#23714yes—
326C23×C5C22×Dic312yes—
327C23×C5C22×Dic312yes—
328C23×C5C22×Dic314yes—
329C23×C5C23×D311yescharacteristic
330C5×D4—216no—
331C5×D4—44no—
332C2×C4×C5—22no—
333C2×C4×C5—22no—
334C2×C4×C5—21no—
335C2×C4×C5—21no—
336C2×C4×C5—34no—
337C2×C4×C5—34no—
338C2×C4×C5—62no—
339C2×C4×C5—62no—
340C2×C4×C5—62no—
341C2×C4×C5—62no—
342C2×C4×C5—62no—
343C2×C4×C5—62no—
344C2×C4×C5—62no—
345C2×C4×C5—62no—
346C2×C4×C5—62no—
347C2×C4×C5—62no—
348C2×C4×C5—124no—
349C2×C4×C5—128no—
350C2×C4×C5—128no—
351C2×C4×C5C22×Dic314yes—
352C2×C4×C5C22×Dic312yes—
353C25C2×C5×D311yescharacteristic
354C22×D4C2×C5×D312yes—
355C22×D4C2×C5×D311yescharacteristic
356C23×C4—32no—
357C23×C4—32no—
358C23×C4—31no—
359#120C5×Dic318yescomplemented
360C4×D4—68no—
361C2×C4⋊C4—32no—
362C2×C4⋊C4—31no—
363C2×C22⋊C4—32no—
364C2×C22⋊C4—32no—
365C2×C22⋊C4—32no—
366C2×C22⋊C4—32no—
367C2×C22⋊C4—32no—
368C2×C22⋊C4—31no—
369C2×C22⋊C4—68no—
370C2×C22⋊C4C2×C5×D312yes—
371C2×C22⋊C4C2×C5×D311yescharacteristic
372C2×C42—32no—
373C2×C42—31no—
374#95—32no—
375#95—32no—
376#95—32no—
377C2×C3×C5—28no—
378C2×C3×C5—42no—
379C2×C3×C5—42no—
380C2×C3×C5C2×C4×D412yes—
381C2×C3×C5#51811yescharacteristic
382C2×C3×C5D4211yescharacteristic
383C2×C3×C5#54612yes—
384C2×C3×C5#55111yescharacteristic
385C23×C3—22no—
386C23×C3—22no—
387C23×C3—22no—
388C23×C3—22no—
389C23×C3—216no—
390C23×C3—22no—
391C23×C3—22no—
392C23×C3—22no—
393C23×C3—22no—
394C23×C3—21no—
395C23×C3—21no—
396C23×C3—21no—
397C23×C3—21no—
398C23×C3—44no—
399C23×C3—44no—
400C23×C3—48no—
401C23×C3—44no—
402C23×C3C22×C4×C512yes—
403C23×C3C22×C4×C512yes—
404C23×C3C22×C4×C514yes—
405C23×C3C2×C5×D414yes—
406C23×C3C5×#4114yes—
407C23×C3C24×C511yescharacteristic
408C3×D4—216no—
409C3×D4—44no—
410C2×C3×C4—22no—
411C2×C3×C4—22no—
412C2×C3×C4—21no—
413C2×C3×C4—21no—
414C2×C3×C4C22×C4×C514yes—
415C2×C3×C4C22×C4×C512yes—
416C2×Dic3—22no—
417C2×Dic3—22no—
418C2×Dic3—22no—
419C2×Dic3—22no—
420C2×Dic3—22no—
421C2×Dic3—22no—
422C2×Dic3—22no—
423C2×Dic3—22no—
424C2×Dic3—22no—
425C2×Dic3—22no—
426C2×Dic3—44no—
427C2×Dic3—48no—
428C2×Dic3—48no—
429C2×Dic3C2×C5×D414yes—
430C2×Dic3C2×C5×D414yes—
431C22×C5—24no—
432C22×C5—24no—
433C22×C5—24no—
434C22×C5—24no—
435C22×C5—24no—
436C22×C5—24no—
437C22×C5—24no—
438C22×C5—24no—
439C22×C5—22no—
440C22×C5—22no—
441C22×C5—416no—
442C22×C5—41no—
443C22×C5—41no—
444C22×C5—41no—
445C22×C5—41no—
446C22×C5—42no—
447C22×C5—42no—
448C22×C5D4×Dic318yescomplemented
449C22×C5C2×D3×D412yes—
450C22×C5C2×#23712yes—
451C22×C5#100411yescharacteristic
452C22×C5#100411yescharacteristic
453C22×C5C23×Dic311yescharacteristic
454C4×C5—24no—
455C4×C5—22no—
456C4×C5—64no—
457C4×C5—64no—
458C4×C5—122no—
459C4×C5—122no—
460C24—24no—
461C24—24no—
462C24—41no—
463C24—41no—
464C24C2×C5×Dic314yescomplemented
465C24C22×C5×D311yescharacteristic
466C24C22×C5×D311yescharacteristic
467C24C22×C5×D312yes—
468C2×D4—24no—
469C2×D4—24no—
470C2×D4—41no—
471C2×D4—41no—
472C2×D4C2×C5×Dic318yescomplemented
473C2×D4C2×C5×Dic314yescomplemented
474C22×C4—32no—
475C22×C4—32no—
476C22×C4—32no—
477C22×C4—32no—
478C22×C4—64no—
479C22×C4—64no—
480C22×C4—64no—
481C22×C4—64no—
482C22×C4—64no—
483C22×C4—122no—
484C22×C4—121no—
485C22×C4—122no—
486C22×C4C22×C5×D312yes—
487C22×C4C22×C5×D311yescharacteristic
488C4⋊C4—64no—
489C4⋊C4—121no—
490C22⋊C4—38no—
491C22⋊C4—64no—
492C22⋊C4—64no—
493C22⋊C4—64no—
494C22⋊C4—64no—
495C22⋊C4—121no—
496C22⋊C4C2×C5×Dic314yescomplemented
497C22⋊C4C2×C5×Dic318yescomplemented
498C42—64no—
499C42—121no—
500C3×C5#235811yescharacteristic, complemented, Hall
501C22×C3—24no—
502C22×C3—24no—
503C22×C3—24no—
504C22×C3—24no—
505C22×C3—24no—
506C22×C3—24no—
507C22×C3—24no—
508C22×C3—24no—
509C22×C3—22no—
510C22×C3—22no—
511C22×C3—416no—
512C22×C3—41no—
513C22×C3—41no—
514C22×C3—42no—
515C22×C3—42no—
516C22×C3—41no—
517C22×C3—41no—
518C22×C3C4×C5×D418yescomplemented
519C22×C3C23×C4×C511yescharacteristic
520C22×C3C22×C5×D412yes—
521C22×C3C2×C5×#4112yes—
522C22×C3C5×H(5,𝔽2)11yescharacteristic
523C22×C3C5×H(5,𝔽2)11yescharacteristic
524C3×C4—24no—
525C3×C4—22no—
526Dic3—24no—
527Dic3—24no—
528Dic3—42no—
529Dic3—42no—
530C2×C5—28no—
531C2×C5—42no—
532C2×C5—42no—
533C2×C5#558711yescharacteristic
534C2×C5#559011yescharacteristic
535C2×C5#559112yes—
536C2×C5C2×D4×Dic312yes—
537C2×C5#579811yescharacteristic
538C23—22no—
539C23—22no—
540C23—22no—
541C23—22no—
542C23—216no—
543C23—22no—
544C23—22no—
545C23—22no—
546C23—22no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—44no—
552C23—44no—
553C23—44no—
554C23—48no—
555C23C5×D3×D414yes—
556C23C5×#23714yes—
557C23C22×C5×Dic312yes—
558C23C22×C5×Dic312yes—
559C23C22×C5×Dic314yes—
560C23C23×C5×D311yescharacteristic
561D4—216no—
562D4—44no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—34no—
568C2×C4—34no—
569C2×C4—62no—
570C2×C4—62no—
571C2×C4—62no—
572C2×C4—62no—
573C2×C4—62no—
574C2×C4—62no—
575C2×C4—62no—
576C2×C4—62no—
577C2×C4—62no—
578C2×C4—62no—
579C2×C4—124no—
580C2×C4—128no—
581C2×C4—128no—
582C2×C4C22×C5×Dic314yes—
583C2×C4C22×C5×Dic312yes—
584C2×C3—28no—
585C2×C3—42no—
586C2×C3—42no—
587C2×C3C2×C4×C5×D412yes—
588C2×C3C5×#51811yescharacteristic
589C2×C3C5×D4211yescharacteristic
590C2×C3C5×#54612yes—
591C2×C3C5×#55111yescharacteristic
592C5#8257911yescharacteristic, direct product factor, Sylow
593C22—24no—
594C22—24no—
595C22—24no—
596C22—24no—
597C22—24no—
598C22—24no—
599C22—24no—
600C22—24no—
601C22—22no—
602C22—22no—
603C22—416no—
604C22—41no—
605C22—41no—
606C22—41no—
607C22—41no—
608C22—42no—
609C22—42no—
610C22C5×D4×Dic318yescomplemented
611C22C2×C5×D3×D412yes—
612C22C2×C5×#23712yes—
613C22C5×#100411yescharacteristic
614C22C5×#100411yescharacteristic
615C22C23×C5×Dic311yescharacteristic
616C4—24no—
617C4—22no—
618C4—64no—
619C4—64no—
620C4—122no—
621C4—122no—
622C3C5×#235811yescharacteristic, complemented, Sylow
623C2—28no—
624C2—42no—
625C2—42no—
626C2C5×#558711yescharacteristic
627C2C5×#559011yescharacteristic
628C2C5×#559112yes—
629C2C2×C5×D4×Dic312yes—
630C2C5×#579811yescharacteristic
subgroupG/H
centerC23×C5C23×D3
commutatorC22×C3C23×C4×C5
FrattiniC23C23×C5×D3
Fitting, prime radicalC2×C3×C5×#120C2
socleC23×C3×C5C24
cosocleC23×C3C24×C5
hypercenterC2×C5×#120D3
hypocenterC3C5×#2358
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23×C5 ◁ C2×C5×#120

Complements

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

NH ≅ G/Ntype
2. C22×C5×#217C2semidirect
3. C2×C5×D4×Dic3C2semidirect
4. C5×#5221C2semidirect
5. C5×#5220C2semidirect
6. C5×#5220C2semidirect
7. C5×#4951C2semidirect
8. C5×#4950C2semidirect
9. C5×Dic3×C22⋊C4C2semidirect
16. C23×C5×Dic3C22semidirect
17. C3×C5×#120C4semidirect
25. C2×C5×#217C22semidirect
26. C2×C5×#217C22semidirect
28. C2×C5×C4⋊Dic3C22semidirect
29. C2×C5×C4⋊Dic3C22semidirect
30. C2×C4×C5×Dic3C22semidirect
31. C2×C4×C5×Dic3C22semidirect
32. C5×C3⋊#95C22semidirect
33. C5×C3⋊#95C22semidirect
34. C5×C3⋊#95C22semidirect
35. #82579C5direct (N × H)
49. C24×C3×C5C2×C4semidirect
57. C2×C3×C5×D4C2×C4semidirect
58. C2×C3×C5×D4C2×C4semidirect
73. C3×C5×C22⋊C4C2×C4semidirect
74. C3×C5×C22⋊C4C2×C4semidirect
80. C5×#217D4semidirect
86. C22×#217C2×C5semidirect
87. C2×D4×Dic3C2×C5semidirect
88. #5221C2×C5semidirect
89. #5220C2×C5semidirect
90. #5220C2×C5semidirect
91. #4951C2×C5semidirect
92. #4950C2×C5semidirect
93. Dic3×C22⋊C4C2×C5semidirect
100. C5×#120Dic3semidirect
170. C23×Dic3C22×C5semidirect
171. C3×#120C4×C5semidirect
179. C2×#217C22×C5semidirect
180. C2×#217C22×C5semidirect
182. C2×C4⋊Dic3C22×C5semidirect
183. C2×C4⋊Dic3C22×C5semidirect
184. C2×C4×Dic3C22×C5semidirect
185. C2×C4×Dic3C22×C5semidirect
186. C3⋊#95C22×C5semidirect
187. C3⋊#95C22×C5semidirect
188. C3⋊#95C22×C5semidirect
193. C24×C5C2×Dic3semidirect
201. C2×C5×D4C2×Dic3semidirect
202. C2×C5×D4C2×Dic3semidirect
225. C5×C22⋊C4C2×Dic3semidirect
226. C5×C22⋊C4C2×Dic3semidirect
255. C22×C3×C5C4×D4semidirect
271. C24×C3C2×C4×C5semidirect
279. C2×C3×D4C2×C4×C5semidirect
280. C2×C3×D4C2×C4×C5semidirect
295. C3×C22⋊C4C2×C4×C5semidirect
296. C3×C22⋊C4C2×C4×C5semidirect
302. #217C5×D4semidirect
359. #120C5×Dic3semidirect
448. C22×C5D4×Dic3semidirect
464. C24C2×C5×Dic3semidirect
472. C2×D4C2×C5×Dic3semidirect
473. C2×D4C2×C5×Dic3semidirect
496. C22⋊C4C2×C5×Dic3semidirect
497. C22⋊C4C2×C5×Dic3semidirect
500. C3×C5#2358semidirect
518. C22×C3C4×C5×D4semidirect
592. C5#82579direct (N × H)
610. C22C5×D4×Dic3semidirect
622. C3C5×#2358semidirect

Maximal subgroups

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

subgroupindex
C2×C3×C5×#1202
C22×C5×#2172
C2×C5×D4×Dic32
C5×#52212
C5×#52202
C5×#49512
C5×#49502
C5×Dic3×C22⋊C42
C5×#23583
#825795