Finite Group Databasebeta

← C5×#82955 #14329532

Subgroups — C5×#82955 #14329532

Order 1920.

1264 conjugacy classes of subgroups.

The subgroup lattice has 588 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C5×#124C211yesmaximal, characteristic
2C2×C5×Q8×Dic3C211yesmaximal, characteristic, complemented
3C2×C5×D4×Dic3C211yesmaximal, characteristic
4C5×#5229C211yesmaximal, characteristic, complemented
5C5×#5221C211yesmaximal, characteristic
6C5×#4951C212yesmaximal, complemented
7C5×#4951C212yesmaximal, complemented
8C5×#4950C212yesmaximal, complemented
9C5×Dic3×C22⋊C4C212yesmaximal, complemented
10C4×C5×C4⋊Dic3C211yesmaximal, characteristic, complemented
11C4×C5×C4⋊Dic3C211yesmaximal, characteristic, complemented
12C5×#2367—31nomaximal, Hall
13C22×C3×C5×Q8C2211yescharacteristic
14C22×C3×C5×D4C2211yescharacteristic
15C23×C5×Dic3C2212yes—
16C3×C5×#124C418yescomplemented
17C2×C3×C5×C22⋊C4C2212yes—
18C2×C3×C5×C22⋊C4C2212yes—
19C2×C3×C42×C5C2211yescharacteristic
20C2×C5×#217C2212yes—
21C2×C5×#217C2212yes—
22C2×C5×#217C2212yes—
23C5×Q8×Dic3—24no—
24C5×D4×Dic3—24no—
25C2×C5×C4⋊Dic3C2211yescharacteristic
26C2×C5×C4⋊Dic3C2211yescharacteristic
27C2×C5×C4⋊Dic3C2211yescharacteristic
28C2×C5×C4⋊Dic3C2212yes—
29C2×C5×C4⋊Dic3C2211yescharacteristic
30C2×C4×C5×Dic3C2211yescharacteristic
31C2×C4×C5×Dic3C2211yescharacteristic
32C2×C4×C5×Dic3C2212yes—
33C2×C4×C5×Dic3C2212yes—
34C5×C3⋊#95C2211yescharacteristic
35C5×C3⋊#95C2212yes—
36C5×C3⋊#95C2211yescharacteristic
37C5×C3⋊#95C2212yes—
38C5×C3⋊#95C2212yes—
39#82955C511yesmaximal, characteristic, direct product factor, Hall
40C2×C5×#124D311yescharacteristic
41C2×C4×C5×Q8—31no—
42C2×C4×C5×D4—31no—
43C5×#391—31no—
44C5×#390—31no—
45C5×#388—32no—
46C5×#388—32no—
47C5×#385—32no—
48C4×C5×C4⋊C4—31no—
49C4×C5×C4⋊C4—31no—
50C4×C5×C22⋊C4—32no—
51C24×C3×C5C2312yes—
52C2×C3×C5×Q8—22no—
53C2×C3×C5×Q8—22no—
54C2×C3×C5×Q8C2×C414yescomplemented
55C2×C3×C5×D4—22no—
56C2×C3×C5×D4—22no—
57C2×C3×C5×D4C2×C414yes—
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×Dic3C2311yescharacteristic
66C22×C5×Dic3C2311yescharacteristic
67C22×C5×Dic3C2312yes—
68C22×C5×Dic3C2312yes—
69C22×C5×Dic3C2311yescharacteristic
70C22×C5×Dic3C2311yescharacteristic
71C3×C5×C22⋊C4C2×C418yescomplemented
72C3×C5×C22⋊C4C2×C418yescomplemented
73C3×C42×C5C2×C414yescomplemented
74C5×#217—24no—
75C5×#217—24no—
76C5×#217—42no—
77C5×C4⋊Dic3—22no—
78C5×C4⋊Dic3—24no—
79C5×C4⋊Dic3—22no—
80C5×C4⋊Dic3—22no—
81C5×C4⋊Dic3D414yes—
82C4×C5×Dic3—22no—
83C4×C5×Dic3—22no—
84C4×C5×Dic3—24no—
85C4×C5×Dic3—42no—
86C2×C3×#124C2×C511yescharacteristic
87C2×Q8×Dic3C2×C511yescharacteristic, complemented
88C2×D4×Dic3C2×C511yescharacteristic
89#5229C2×C511yescharacteristic, complemented
90#5221C2×C511yescharacteristic
91#4951C2×C512yescomplemented
92#4951C2×C512yescomplemented
93#4950C2×C512yescomplemented
94Dic3×C22⋊C4C2×C512yescomplemented
95C4×C4⋊Dic3C2×C511yescharacteristic, complemented
96C4×C4⋊Dic3C2×C511yescharacteristic, complemented
97C22×C5×Q8C2×D311yescharacteristic
98C22×C5×D4C2×D311yescharacteristic
99C23×C4×C5—32no—
100C5×#124Dic318yescomplemented
101C4×C5×Q8—64no—
102C4×C5×D4—64no—
103C2×C5×C4⋊C4—31no—
104C2×C5×C4⋊C4—31no—
105C2×C5×C4⋊C4—31no—
106C2×C5×C4⋊C4—31no—
107C2×C5×C4⋊C4—32no—
108C2×C5×C22⋊C4—32no—
109C2×C5×C22⋊C4—32no—
110C2×C5×C22⋊C4—32no—
111C2×C5×C22⋊C4C2×D312yes—
112C2×C5×C22⋊C4C2×D312yes—
113C2×C42×C5—32no—
114C2×C42×C5—31no—
115C2×C42×C5—31no—
116C2×C42×C5—32no—
117C2×C42×C5C2×D311yescharacteristic
118C5×#95—31no—
119C5×#95—32no—
120C5×#95—32no—
121C5×#95—31no—
122C5×#95—32no—
123#2367—31noSylow
124C23×C3×C5—22no—
125C23×C3×C5—22no—
126C23×C3×C5—22no—
127C23×C3×C5—22no—
128C23×C3×C5—22no—
129C23×C3×C5—22no—
130C23×C3×C5C22×C414yes—
131C23×C3×C5C2411yescharacteristic
132C3×C5×Q8—28no—
133C3×C5×D4—28no—
134C2×C3×C4×C5—22no—
135C2×C3×C4×C5—21no—
136C2×C3×C4×C5—21no—
137C2×C3×C4×C5—22no—
138C2×C3×C4×C5—21no—
139C2×C3×C4×C5—21no—
140C2×C3×C4×C5C22×C412yes—
141C2×C3×C4×C5C22×C412yes—
142C2×C3×C4×C5C22×C414yes—
143C2×C3×C4×C5C22×C412yes—
144C2×C3×C4×C5C2×D412yes—
145C2×C3×C4×C5#4112yes—
146C2×C5×Dic3—21no—
147C2×C5×Dic3—21no—
148C2×C5×Dic3—22no—
149C2×C5×Dic3—22no—
150C2×C5×Dic3—21no—
151C2×C5×Dic3—21no—
152C2×C5×Dic3—21no—
153C2×C5×Dic3—21no—
154C2×C5×Dic3—21no—
155C2×C5×Dic3—21no—
156C2×C5×Dic3—22no—
157C2×C5×Dic3—22no—
158C2×C5×Dic3—22no—
159C2×C5×Dic3—21no—
160C2×C5×Dic3—21no—
161C2×C5×Dic3—48no—
162C2×C5×Dic3C2×D414yes—
163C2×C5×Dic3#4112yes—
164C2×C5×Dic3#4112yes—
165C22×C3×Q8C22×C511yescharacteristic
166C22×C3×D4C22×C511yescharacteristic
167C23×Dic3C22×C512yes—
168C3×#124C4×C518yescomplemented
169C2×C3×C22⋊C4C22×C512yes—
170C2×C3×C22⋊C4C22×C512yes—
171C2×C3×C42C22×C511yescharacteristic
172C2×#217C22×C512yes—
173C2×#217C22×C512yes—
174C2×#217C22×C512yes—
175Q8×Dic3—24no—
176D4×Dic3—24no—
177C2×C4⋊Dic3C22×C511yescharacteristic
178C2×C4⋊Dic3C22×C511yescharacteristic
179C2×C4⋊Dic3C22×C511yescharacteristic
180C2×C4⋊Dic3C22×C512yes—
181C2×C4⋊Dic3C22×C511yescharacteristic
182C2×C4×Dic3C22×C511yescharacteristic
183C2×C4×Dic3C22×C511yescharacteristic
184C2×C4×Dic3C22×C512yes—
185C2×C4×Dic3C22×C512yes—
186C3⋊#95C22×C511yescharacteristic
187C3⋊#95C22×C512yes—
188C3⋊#95C22×C511yescharacteristic
189C3⋊#95C22×C512yes—
190C3⋊#95C22×C512yes—
191C24×C5C22×D312yes—
192C2×C5×Q8—22no—
193C2×C5×Q8—22no—
194C2×C5×Q8C2×Dic314yescomplemented
195C2×C5×D4—22no—
196C2×C5×D4—22no—
197C2×C5×D4C2×Dic314yes—
198C22×C4×C5—31no—
199C22×C4×C5—32no—
200C22×C4×C5—31no—
201C22×C4×C5—31no—
202C22×C4×C5—31no—
203C22×C4×C5—32no—
204C22×C4×C5—64no—
205C22×C4×C5—64no—
206C22×C4×C5—122no—
207C22×C4×C5C22×D311yescharacteristic
208C22×C4×C5C22×D312yes—
209C22×C4×C5C22×D311yescharacteristic
210C22×C4×C5C22×D311yescharacteristic
211C5×C4⋊C4—34no—
212C5×C4⋊C4—64no—
213C5×C4⋊C4—62no—
214C5×C4⋊C4—62no—
215C5×C4⋊C4—62no—
216C5×C22⋊C4—64no—
217C5×C22⋊C4—64no—
218C5×C22⋊C4—122no—
219C5×C22⋊C4C2×Dic318yescomplemented
220C5×C22⋊C4C2×Dic318yescomplemented
221C42×C5—64no—
222C42×C5—62no—
223C42×C5—62no—
224C42×C5—122no—
225C42×C5C2×Dic314yescomplemented
226C2×#124C5×D311yescharacteristic
227C2×C4×Q8—31no—
228C2×C4×D4—31no—
229#391—31no—
230#390—31no—
231#388—32no—
232#388—32no—
233#385—32no—
234C4×C4⋊C4—31no—
235C4×C4⋊C4—31no—
236C4×C22⋊C4—32no—
237C22×C3×C5—24no—
238C22×C3×C5—24no—
239C22×C3×C5—24no—
240C22×C3×C5—42no—
241C22×C3×C5—42no—
242C22×C3×C5—42no—
243C22×C3×C5—42no—
244C22×C3×C5C23×C411yescharacteristic
245C22×C3×C5C22×D411yescharacteristic
246C22×C3×C5C2×#4111yescharacteristic
247C22×C3×C5C2×#4111yescharacteristic
248C22×C3×C5C2×#4111yescharacteristic
249C22×C3×C5H(5,𝔽2)11yescharacteristic
250C22×C3×C52−1+411yescharacteristic
251C3×C4×C5—24no—
252C3×C4×C5—22no—
253C3×C4×C5—22no—
254C3×C4×C5C4×D414yes—
255C5×Dic3—22no—
256C5×Dic3—24no—
257C5×Dic3—22no—
258C5×Dic3—41no—
259C5×Dic3—41no—
260C5×Dic3—42no—
261C24×C3C23×C512yes—
262C2×C3×Q8—22no—
263C2×C3×Q8—22no—
264C2×C3×Q8C2×C4×C514yescomplemented
265C2×C3×D4—22no—
266C2×C3×D4—22no—
267C2×C3×D4C2×C4×C514yes—
268C22×C3×C4C23×C511yescharacteristic
269C22×C3×C4C23×C512yes—
270C22×C3×C4C23×C511yescharacteristic
271C22×C3×C4C23×C511yescharacteristic
272C22×Dic3—24no—
273C22×Dic3—24no—
274C22×Dic3—42no—
275C22×Dic3C23×C511yescharacteristic
276C22×Dic3C23×C512yes—
277C22×Dic3C23×C511yescharacteristic
278C22×Dic3C23×C512yes—
279C22×Dic3C23×C511yescharacteristic
280C22×Dic3C23×C511yescharacteristic
281C3×C22⋊C4C2×C4×C518yescomplemented
282C3×C22⋊C4C2×C4×C518yescomplemented
283C3×C42C2×C4×C514yescomplemented
284#217—24no—
285#217—24no—
286#217—42no—
287C4⋊Dic3—22no—
288C4⋊Dic3—24no—
289C4⋊Dic3—22no—
290C4⋊Dic3—22no—
291C4⋊Dic3C5×D414yes—
292C4×Dic3—22no—
293C4×Dic3—22no—
294C4×Dic3—24no—
295C4×Dic3—42no—
296C23×C5—22no—
297C23×C5—22no—
298C23×C5—22no—
299C23×C5—22no—
300C23×C5—22no—
301C23×C5—22no—
302C23×C5C22×Dic314yes—
303C23×C5C23×D311yescharacteristic
304C5×Q8—28no—
305C5×D4—28no—
306C2×C4×C5—22no—
307C2×C4×C5—22no—
308C2×C4×C5—21no—
309C2×C4×C5—21no—
310C2×C4×C5—21no—
311C2×C4×C5—21no—
312C2×C4×C5—34no—
313C2×C4×C5—32no—
314C2×C4×C5—32no—
315C2×C4×C5—61no—
316C2×C4×C5—61no—
317C2×C4×C5—62no—
318C2×C4×C5—62no—
319C2×C4×C5—61no—
320C2×C4×C5—61no—
321C2×C4×C5—61no—
322C2×C4×C5—61no—
323C2×C4×C5—62no—
324C2×C4×C5—62no—
325C2×C4×C5—61no—
326C2×C4×C5—61no—
327C2×C4×C5—62no—
328C2×C4×C5—61no—
329C2×C4×C5—61no—
330C2×C4×C5—128no—
331C2×C4×C5D3×D412yes—
332C2×C4×C5#23712yes—
333C2×C4×C5C22×Dic312yes—
334C2×C4×C5C22×Dic312yes—
335C2×C4×C5C22×Dic314yes—
336C2×C4×C5C22×Dic312yes—
337C22×Q8C2×C5×D311yescharacteristic
338C22×D4C2×C5×D311yescharacteristic
339C23×C4—32no—
340#124C5×Dic318yescomplemented
341C4×Q8—64no—
342C4×D4—64no—
343C2×C4⋊C4—31no—
344C2×C4⋊C4—32no—
345C2×C4⋊C4—31no—
346C2×C4⋊C4—31no—
347C2×C4⋊C4—31no—
348C2×C22⋊C4—32no—
349C2×C22⋊C4—32no—
350C2×C22⋊C4—32no—
351C2×C22⋊C4C2×C5×D312yes—
352C2×C22⋊C4C2×C5×D312yes—
353C2×C42—31no—
354C2×C42—32no—
355C2×C42—31no—
356C2×C42—32no—
357C2×C42C2×C5×D311yescharacteristic
358#95—31no—
359#95—32no—
360#95—32no—
361#95—31no—
362#95—32no—
363C2×C3×C5—44no—
364C2×C3×C5C2×C4×D411yescharacteristic
365C2×C3×C5C4×#4111yescharacteristic
366C2×C3×C5#52011yescharacteristic
367C2×C3×C5#54611yescharacteristic
368C2×C3×C5#54811yescharacteristic
369C2×C3×C5#55611yescharacteristic
370C2×C3×C5#55911yescharacteristic
371C23×C3—22no—
372C23×C3—22no—
373C23×C3—22no—
374C23×C3—22no—
375C23×C3—22no—
376C23×C3—22no—
377C23×C3C22×C4×C514yes—
378C23×C3C24×C511yescharacteristic
379C3×Q8—28no—
380C3×D4—28no—
381C2×C3×C4—22no—
382C2×C3×C4—21no—
383C2×C3×C4—21no—
384C2×C3×C4—22no—
385C2×C3×C4—21no—
386C2×C3×C4—21no—
387C2×C3×C4C22×C4×C512yes—
388C2×C3×C4C22×C4×C512yes—
389C2×C3×C4C22×C4×C514yes—
390C2×C3×C4C22×C4×C512yes—
391C2×C3×C4C2×C5×D412yes—
392C2×C3×C4C5×#4112yes—
393C2×Dic3—21no—
394C2×Dic3—21no—
395C2×Dic3—22no—
396C2×Dic3—22no—
397C2×Dic3—21no—
398C2×Dic3—21no—
399C2×Dic3—21no—
400C2×Dic3—21no—
401C2×Dic3—22no—
402C2×Dic3—21no—
403C2×Dic3—21no—
404C2×Dic3—22no—
405C2×Dic3—22no—
406C2×Dic3—21no—
407C2×Dic3—21no—
408C2×Dic3—48no—
409C2×Dic3C2×C5×D414yes—
410C2×Dic3C5×#4112yes—
411C2×Dic3C5×#4112yes—
412C22×C5—24no—
413C22×C5—24no—
414C22×C5—24no—
415C22×C5—42no—
416C22×C5—42no—
417C22×C5—42no—
418C22×C5—42no—
419C22×C5C2×D3×D411yescharacteristic
420C22×C5C2×#23711yescharacteristic
421C22×C5D3×#4111yescharacteristic
422C22×C5D3×#4111yescharacteristic
423C22×C5#100911yescharacteristic
424C22×C5#101011yescharacteristic
425C22×C5C23×Dic311yescharacteristic
426C4×C5—24no—
427C4×C5—22no—
428C4×C5—22no—
429C4×C5—64no—
430C4×C5—62no—
431C4×C5—62no—
432C4×C5—121no—
433C4×C5—121no—
434C4×C5—122no—
435C4×C5D4×Dic314yes—
436C24C22×C5×D312yes—
437C2×Q8—22no—
438C2×Q8—22no—
439C2×Q8C2×C5×Dic314yescomplemented
440C2×D4—22no—
441C2×D4—22no—
442C2×D4C2×C5×Dic314yes—
443C22×C4—31no—
444C22×C4—31no—
445C22×C4—32no—
446C22×C4—31no—
447C22×C4—32no—
448C22×C4—31no—
449C22×C4—64no—
450C22×C4—64no—
451C22×C4—122no—
452C22×C4C22×C5×D311yescharacteristic
453C22×C4C22×C5×D312yes—
454C22×C4C22×C5×D311yescharacteristic
455C22×C4C22×C5×D311yescharacteristic
456C4⋊C4—34no—
457C4⋊C4—64no—
458C4⋊C4—62no—
459C4⋊C4—62no—
460C4⋊C4—62no—
461C22⋊C4—64no—
462C22⋊C4—64no—
463C22⋊C4—122no—
464C22⋊C4C2×C5×Dic318yescomplemented
465C22⋊C4C2×C5×Dic318yescomplemented
466C42—64no—
467C42—62no—
468C42—62no—
469C42—122no—
470C42C2×C5×Dic314yescomplemented
471C3×C5#236711yescharacteristic, complemented, Hall
472C22×C3—24no—
473C22×C3—24no—
474C22×C3—24no—
475C22×C3—42no—
476C22×C3—42no—
477C22×C3—42no—
478C22×C3—42no—
479C22×C3C23×C4×C511yescharacteristic
480C22×C3C22×C5×D411yescharacteristic
481C22×C3C2×C5×#4111yescharacteristic
482C22×C3C2×C5×#4111yescharacteristic
483C22×C3C2×C5×#4111yescharacteristic
484C22×C3C5×H(5,𝔽2)11yescharacteristic
485C22×C3C5×2−1+411yescharacteristic
486C3×C4—24no—
487C3×C4—22no—
488C3×C4—22no—
489C3×C4C4×C5×D414yes—
490Dic3—22no—
491Dic3—24no—
492Dic3—22no—
493Dic3—41no—
494Dic3—41no—
495Dic3—42no—
496C2×C5—44no—
497C2×C5#567111yescharacteristic
498C2×C5#567611yescharacteristic
499C2×C5#567711yescharacteristic
500C2×C5#568111yescharacteristic
501C2×C5C2×D4×Dic311yescharacteristic
502C2×C5Dic3×#4111yescharacteristic
503C2×C5#582711yescharacteristic
504C23—22no—
505C23—22no—
506C23—22no—
507C23—22no—
508C23—22no—
509C23—22no—
510C23C22×C5×Dic314yes—
511C23C23×C5×D311yescharacteristic
512Q8—28no—
513D4—28no—
514C2×C4—22no—
515C2×C4—22no—
516C2×C4—21no—
517C2×C4—21no—
518C2×C4—21no—
519C2×C4—21no—
520C2×C4—34no—
521C2×C4—32no—
522C2×C4—32no—
523C2×C4—61no—
524C2×C4—61no—
525C2×C4—62no—
526C2×C4—62no—
527C2×C4—61no—
528C2×C4—61no—
529C2×C4—61no—
530C2×C4—61no—
531C2×C4—62no—
532C2×C4—62no—
533C2×C4—61no—
534C2×C4—61no—
535C2×C4—62no—
536C2×C4—61no—
537C2×C4—61no—
538C2×C4—128no—
539C2×C4C5×D3×D412yes—
540C2×C4C5×#23712yes—
541C2×C4C22×C5×Dic312yes—
542C2×C4C22×C5×Dic312yes—
543C2×C4C22×C5×Dic314yes—
544C2×C4C22×C5×Dic312yes—
545C2×C3—44no—
546C2×C3C2×C4×C5×D411yescharacteristic
547C2×C3C4×C5×#4111yescharacteristic
548C2×C3C5×#52011yescharacteristic
549C2×C3C5×#54611yescharacteristic
550C2×C3C5×#54811yescharacteristic
551C2×C3C5×#55611yescharacteristic
552C2×C3C5×#55911yescharacteristic
553C5#8295511yescharacteristic, direct product factor, Sylow
554C22—24no—
555C22—24no—
556C22—24no—
557C22—42no—
558C22—42no—
559C22—42no—
560C22—42no—
561C22C2×C5×D3×D411yescharacteristic
562C22C2×C5×#23711yescharacteristic
563C22C5×D3×#4111yescharacteristic
564C22C5×D3×#4111yescharacteristic
565C22C5×#100911yescharacteristic
566C22C5×#101011yescharacteristic
567C22C23×C5×Dic311yescharacteristic
568C4—24no—
569C4—22no—
570C4—22no—
571C4—62no—
572C4—64no—
573C4—62no—
574C4—121no—
575C4—121no—
576C4—122no—
577C4C5×D4×Dic314yes—
578C3C5×#236711yescharacteristic, complemented, Sylow
579C2—44no—
580C2C5×#567111yescharacteristic
581C2C5×#567611yescharacteristic
582C2C5×#567711yescharacteristic
583C2C5×#568111yescharacteristic
584C2C2×C5×D4×Dic311yescharacteristic
585C2C5×Dic3×#4111yescharacteristic
586C2C5×#582711yescharacteristic
subgroupG/H
centerC23×C5C23×D3
commutatorC22×C3C23×C4×C5
FrattiniC23C23×C5×D3
FittingC2×C3×C5×#124C2
socleC23×C3×C5C24
prime radicalC22×C3×C5×D4C22
cosocleC23×C3C24×C5
hypercenterC2×C5×#124D3
hypocenterC3C5×#2367
LCSG ▷ C22×C3 ▷ C3
UCSC1 ◁ C23×C5 ◁ C2×C5×#124

Complements

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

NH ≅ G/Ntype
2. C2×C5×Q8×Dic3C2semidirect
4. C5×#5229C2semidirect
6. C5×#4951C2semidirect
7. C5×#4951C2semidirect
8. C5×#4950C2semidirect
9. C5×Dic3×C22⋊C4C2semidirect
10. C4×C5×C4⋊Dic3C2semidirect
11. C4×C5×C4⋊Dic3C2semidirect
16. C3×C5×#124C4semidirect
39. #82955C5direct (N × H)
54. C2×C3×C5×Q8C2×C4semidirect
71. C3×C5×C22⋊C4C2×C4semidirect
72. C3×C5×C22⋊C4C2×C4semidirect
73. C3×C42×C5C2×C4semidirect
87. C2×Q8×Dic3C2×C5semidirect
89. #5229C2×C5semidirect
91. #4951C2×C5semidirect
92. #4951C2×C5semidirect
93. #4950C2×C5semidirect
94. Dic3×C22⋊C4C2×C5semidirect
95. C4×C4⋊Dic3C2×C5semidirect
96. C4×C4⋊Dic3C2×C5semidirect
100. C5×#124Dic3semidirect
168. C3×#124C4×C5semidirect
194. C2×C5×Q8C2×Dic3semidirect
219. C5×C22⋊C4C2×Dic3semidirect
220. C5×C22⋊C4C2×Dic3semidirect
225. C42×C5C2×Dic3semidirect
264. C2×C3×Q8C2×C4×C5semidirect
281. C3×C22⋊C4C2×C4×C5semidirect
282. C3×C22⋊C4C2×C4×C5semidirect
283. C3×C42C2×C4×C5semidirect
340. #124C5×Dic3semidirect
439. C2×Q8C2×C5×Dic3semidirect
464. C22⋊C4C2×C5×Dic3semidirect
465. C22⋊C4C2×C5×Dic3semidirect
470. C42C2×C5×Dic3semidirect
471. C3×C5#2367semidirect
553. C5#82955direct (N × H)
578. C3C5×#2367semidirect

Maximal subgroups

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

subgroupindex
C2×C3×C5×#1242
C2×C5×Q8×Dic32
C2×C5×D4×Dic32
C5×#52292
C5×#52212
C5×#49512
C5×#49502
C5×Dic3×C22⋊C42
C4×C5×C4⋊Dic32
C5×#23673
#829555