Finite Group Databasebeta

← C3×D5×#562 #14495273

Subgroups — C3×D5×#562 #14495273

Order 1920.

2304 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C5×#562C211yesmaximal, characteristic, complemented
2C3×#66034C211yesmaximal, characteristic, complemented
3C3×D5×#125C211yesmaximal, characteristic, complemented
4C3×#66018C212yesmaximal, complemented
5C3×D5×#124C212yesmaximal, complemented
6C3×#66001C214yesmaximal, complemented
7C3×D5×#123C214yesmaximal, complemented
8C3×#65981C214yesmaximal, complemented
9C3×D5×C22⋊Q8C214yesmaximal, complemented
10C3×#65955C214yesmaximal, complemented
11C3×D5×#121C214yesmaximal, complemented
12D5×#562C311yesmaximal, characteristic, direct product factor, Hall
13C2×C3×Q8×D5C2212yes—
14C2×C3×D4×D5C2214yes—
15C2×C3×D4×D5C2212yes—
16C22×C3×C4×D5C2214yes—
17C3×C5×#125C2211yescharacteristic, complemented
18C3×C5×#124C2212yescomplemented
19C3×C5×#123C2214yescomplemented
20C3×C5×C22⋊Q8C2214yescomplemented
21C3×C5×#121C2214yescomplemented
22C3×#4093C2212yescomplemented
23C3×#4092C2214yescomplemented
24C3×#4085C2214yescomplemented
25C3×#4085C2214yescomplemented
26C3×#4084C2214yescomplemented
27C3×#4082C2212yescomplemented
28C3×#4081C2214yescomplemented
29C3×#4076C2214yescomplemented
30C3×#4075C2214yescomplemented
31C3×#4070C2214yescomplemented
32C3×#4043C2214yescomplemented
33C3×#4042C2214yescomplemented
34C3×#4042C2214yescomplemented
35C3×#4041C2214yescomplemented
36C3×#4040C2214yescomplemented
37C3×#4040C2214yescomplemented
38C3×D5×C4⋊C4C2214yes—
39C3×D5×C4⋊C4C2214yes—
40C3×D5×C4⋊C4C2212yes—
41C3×#4036C2212yescomplemented
42C3×#4035C2214yescomplemented
43C3×#4032C2214yescomplemented
44C3×#4031C2214yescomplemented
45C3×#4031C2214yescomplemented
46C3×#4030C2214yescomplemented
47C3×#4030C2214yescomplemented
48C3×#4029C2214yescomplemented
49C3×#4029C2214yescomplemented
50C3×D5×C22⋊C4C2214yes—
51C3×D5×C22⋊C4C2214yes—
52C3×D5×C22⋊C4C2214yes—
53C3×#4024C2214yescomplemented
54C3×#4024C2214yescomplemented
55C3×#4021C2212yescomplemented
56C3×C42×D5C2211yescharacteristic
57C3×#4016C2211yescharacteristic, complemented
58C2×C3×#562—51nomaximal, Hall
59C5×#562C2×C311yescharacteristic, complemented
60#66034C2×C311yescharacteristic, complemented
61D5×#125C2×C311yescharacteristic, complemented
62#66018C2×C312yescomplemented
63D5×#124C2×C312yescomplemented
64#66001C2×C314yescomplemented
65D5×#123C2×C314yescomplemented
66#65981C2×C314yescomplemented
67D5×C22⋊Q8C2×C314yescomplemented
68#65955C2×C314yescomplemented
69D5×#121C2×C314yescomplemented
70C23×C3×D5C2314yes—
71C2×C3×C5×Q8C2312yes—
72C2×C3×C5×D4C2314yes—
73C2×C3×C5×D4C2312yes—
74C22×C3×C4×C5C2314yes—
75C2×C3×C22⋊D5C2314yes—
76C2×C3×C22⋊D5C2314yes—
77C2×C3×C22⋊D5C2314yes—
78C22×C3×Dic5C2314yes—
79C3×Q8×D5—44no—
80C3×D4×D5—48no—
81C3×D4×D5—44no—
82C2×C3×D20C2312yes—
83C2×C3×D20C2314yes—
84C2×C3×C4×D5—48no—
85C2×C3×C4×D5C2314yes—
86C2×C3×C4×D5C2314yes—
87C2×C3×C4×D5C2312yes—
88C2×C3×C4×D5C2311yescharacteristic
89C2×C3×C4×D5C2314yes—
90C2×C3×C4×D5C2314yes—
91C2×C3×Dic10C2312yes—
92C2×C3×Dic10C2314yes—
93C3×C5×C4⋊C4C2314yes—
94C3×C5×C4⋊C4C2314yes—
95C3×C5×C4⋊C4C2312yes—
96C3×C5×C22⋊C4C2314yes—
97C3×C5×C22⋊C4C2314yes—
98C3×C5×C22⋊C4C2314yes—
99C3×C42×C5C2311yescharacteristic
100C3×C22⋊Dic5C2314yes—
101C3×C22⋊Dic5C2314yes—
102C3×C22⋊Dic5C2314yes—
103C3×#685C2314yes—
104C3×#685C2314yes—
105C3×#685C2314yes—
106C3×#685C2314yes—
107C3×#685C2314yes—
108C3×#685C2314yes—
109C3×C4⋊Dic5C2314yes—
110C3×C4⋊Dic5C2314yes—
111C3×C4⋊Dic5C2312yes—
112C3×#683C2314yes—
113C3×#683C2314yes—
114C3×#683C2314yes—
115C3×#683C2314yes—
116C3×#683C2314yes—
117C3×C4×Dic5C2312yes—
118C3×C4×Dic5C2311yescharacteristic
119C3×#562—51no—
120C3×#562—52no—
121C3×#562—54no—
122C3×#562—54no—
123C3×#562—54no—
124C3×#562D511yescharacteristic, direct product factor
125C2×C3×#125—51no—
126C2×C3×#124—52no—
127C2×C3×#123—54no—
128C2×C3×C22⋊Q8—54no—
129C2×C3×#121—54no—
130C2×Q8×D5C22×C312yes—
131C2×D4×D5C22×C314yes—
132C2×D4×D5C22×C312yes—
133C22×C4×D5C22×C314yes—
134C5×#125C22×C311yescharacteristic, complemented
135C5×#124C22×C312yescomplemented
136C5×#123C22×C314yescomplemented
137C5×C22⋊Q8C22×C314yescomplemented
138C5×#121C22×C314yescomplemented
139#4093C22×C312yescomplemented
140#4092C22×C314yescomplemented
141#4085C22×C314yescomplemented
142#4085C22×C314yescomplemented
143#4084C22×C314yescomplemented
144#4082C22×C312yescomplemented
145#4081C22×C314yescomplemented
146#4076C22×C314yescomplemented
147#4075C22×C314yescomplemented
148#4070C22×C314yescomplemented
149#4043C22×C314yescomplemented
150#4042C22×C314yescomplemented
151#4042C22×C314yescomplemented
152#4041C22×C314yescomplemented
153#4040C22×C314yescomplemented
154#4040C22×C314yescomplemented
155D5×C4⋊C4C22×C314yes—
156D5×C4⋊C4C22×C314yes—
157D5×C4⋊C4C22×C312yes—
158#4036C22×C312yescomplemented
159#4035C22×C314yescomplemented
160#4032C22×C314yescomplemented
161#4031C22×C314yescomplemented
162#4031C22×C314yescomplemented
163#4030C22×C314yescomplemented
164#4030C22×C314yescomplemented
165#4029C22×C314yescomplemented
166#4029C22×C314yescomplemented
167D5×C22⋊C4C22×C314yes—
168D5×C22⋊C4C22×C314yes—
169D5×C22⋊C4C22×C314yes—
170#4024C22×C314yescomplemented
171#4024C22×C314yescomplemented
172#4021C22×C312yescomplemented
173C42×D5C22×C311yescharacteristic
174#4016C22×C311yescharacteristic, complemented
175C2×#562—51noSylow
176C23×C3×C5C2414yes—
177C22×C3×D5—28no—
178C22×C3×D5—28no—
179C22×C3×D5—28no—
180C22×C3×D5C2414yes—
181C22×C3×D5C2411yescharacteristic
182C3×C5×Q8—42no—
183C3×C5×D4—42no—
184C3×C5×D4—44no—
185C2×C3×C4×C5—44no—
186C2×C3×C4×C5C2412yes—
187C2×C3×C4×C5C2411yescharacteristic
188C2×C3×C4×C5C2414yes—
189C2×C3×C4×C5C2414yes—
190C3×C22⋊D5—44no—
191C3×C22⋊D5—44no—
192C3×C22⋊D5—44no—
193C2×C3×Dic5—44no—
194C2×C3×Dic5C2411yescharacteristic
195C2×C3×Dic5C2412yes—
196C2×C3×Dic5C2414yes—
197C2×C3×Dic5C2414yes—
198C3×D20—42no—
199C3×D20—44no—
200C3×C4×D5—28no—
201C3×C4×D5—28no—
202C3×C4×D5—24no—
203C3×C4×D5—22no—
204C3×C4×D5—44no—
205C3×C4×D5—44no—
206C3×Dic10—42no—
207C3×Dic10—44no—
208C22×C3×Q8—52no—
209C22×C3×D4—54no—
210C22×C3×D4—52no—
211C23×C3×C4—54no—
212C3×#125—54no—
213C3×#125—52no—
214C3×#125—51no—
215C3×#125C2×D511yescharacteristic, complemented
216C3×#124—52no—
217C3×#124—52no—
218C3×#124—54no—
219C3×#124—54no—
220C3×#124—52no—
221C3×#124C2×D512yescomplemented
222C3×#123—54no—
223C3×#123—54no—
224C3×#123—54no—
225C3×#123—54no—
226C3×#123—54no—
227C3×#123—54no—
228C3×#123—54no—
229C3×#123C2×D514yescomplemented
230C3×C22⋊Q8—54no—
231C3×C22⋊Q8—54no—
232C3×C22⋊Q8—54no—
233C3×C22⋊Q8—54no—
234C3×C22⋊Q8—54no—
235C3×C22⋊Q8—54no—
236C3×C22⋊Q8—54no—
237C3×C22⋊Q8C2×D514yescomplemented
238C3×#121—54no—
239C3×#121—54no—
240C3×#121—54no—
241C3×#121—54no—
242C3×#121—54no—
243C3×#121—54no—
244C3×#121—54no—
245C3×#121C2×D514yescomplemented
246C2×C3×C4⋊C4—54no—
247C2×C3×C4⋊C4—54no—
248C2×C3×C4⋊C4—52no—
249C2×C3×C22⋊C4—54no—
250C2×C3×C22⋊C4—54no—
251C2×C3×C22⋊C4—54no—
252C2×C3×C42—51no—
253C23×D5C23×C314yes—
254C2×C5×Q8C23×C312yes—
255C2×C5×D4C23×C314yes—
256C2×C5×D4C23×C312yes—
257C22×C4×C5C23×C314yes—
258C2×C22⋊D5C23×C314yes—
259C2×C22⋊D5C23×C314yes—
260C2×C22⋊D5C23×C314yes—
261C22×Dic5C23×C314yes—
262Q8×D5—44no—
263D4×D5—48no—
264D4×D5—44no—
265C2×D20C23×C312yes—
266C2×D20C23×C314yes—
267C2×C4×D5—48no—
268C2×C4×D5C23×C314yes—
269C2×C4×D5C23×C314yes—
270C2×C4×D5C23×C312yes—
271C2×C4×D5C23×C311yescharacteristic
272C2×C4×D5C23×C314yes—
273C2×C4×D5C23×C314yes—
274C2×Dic10C23×C312yes—
275C2×Dic10C23×C314yes—
276C5×C4⋊C4C23×C314yes—
277C5×C4⋊C4C23×C314yes—
278C5×C4⋊C4C23×C312yes—
279C5×C22⋊C4C23×C314yes—
280C5×C22⋊C4C23×C314yes—
281C5×C22⋊C4C23×C314yes—
282C42×C5C23×C311yescharacteristic
283C22⋊Dic5C23×C314yes—
284C22⋊Dic5C23×C314yes—
285C22⋊Dic5C23×C314yes—
286#685C23×C314yes—
287#685C23×C314yes—
288#685C23×C314yes—
289#685C23×C314yes—
290#685C23×C314yes—
291#685C23×C314yes—
292C4⋊Dic5C23×C312yes—
293C4⋊Dic5C23×C314yes—
294C4⋊Dic5C23×C314yes—
295#683C23×C314yes—
296#683C23×C314yes—
297#683C23×C314yes—
298#683C23×C314yes—
299#683C23×C314yes—
300C4×Dic5C23×C311yescharacteristic
301C4×Dic5C23×C312yes—
302#562—51no—
303#562—52no—
304#562—54no—
305#562—54no—
306#562—54no—
307#562C3×D511yescharacteristic, direct product factor
308C2×#125—51no—
309C2×#124—52no—
310C2×#123—54no—
311C2×C22⋊Q8—54no—
312C2×#121—54no—
313C22×C3×C5—24no—
314C22×C3×C5—24no—
315C22×C3×C5—24no—
316C22×C3×C5C2511yescharacteristic
317C2×C3×D5—24no—
318C2×C3×D5—24no—
319C2×C3×D5—24no—
320C2×C3×D5—416no—
321C2×C3×D5H(5,𝔽2)14yes—
322C2×C3×D52−1+412yes—
323C3×C4×C5—24no—
324C3×C4×C5—22no—
325C3×C4×C5—24no—
326C3×C4×C5—21no—
327C3×Dic5—24no—
328C3×Dic5—22no—
329C3×Dic5—24no—
330C3×Dic5—21no—
331C24×C3—54no—
332C2×C3×Q8—54no—
333C2×C3×Q8—52no—
334C2×C3×Q8—204no—
335C2×C3×Q8C22×D512yes—
336C2×C3×D4—54no—
337C2×C3×D4—54no—
338C2×C3×D4—54no—
339C2×C3×D4—54no—
340C2×C3×D4—52no—
341C2×C3×D4—208no—
342C2×C3×D4—204no—
343C2×C3×D4C22×D514yes—
344C2×C3×D4C22×D512yes—
345C22×C3×C4—54no—
346C22×C3×C4—51no—
347C22×C3×C4—52no—
348C22×C3×C4—54no—
349C22×C3×C4—54no—
350C22×C3×C4—54no—
351C22×C3×C4—54no—
352C22×C3×C4—208no—
353C22×C3×C4C22×D514yes—
354C3×C4⋊C4—54no—
355C3×C4⋊C4—54no—
356C3×C4⋊C4—54no—
357C3×C4⋊C4—54no—
358C3×C4⋊C4—54no—
359C3×C4⋊C4—54no—
360C3×C4⋊C4—54no—
361C3×C4⋊C4—52no—
362C3×C4⋊C4C22×D514yes—
363C3×C4⋊C4C22×D514yes—
364C3×C4⋊C4C22×D512yes—
365C3×C22⋊C4—54no—
366C3×C22⋊C4—54no—
367C3×C22⋊C4—54no—
368C3×C22⋊C4—54no—
369C3×C22⋊C4—54no—
370C3×C22⋊C4—54no—
371C3×C22⋊C4—54no—
372C3×C22⋊C4—54no—
373C3×C22⋊C4—54no—
374C3×C22⋊C4C22×D514yes—
375C3×C22⋊C4C22×D514yes—
376C3×C22⋊C4C22×D514yes—
377C3×C42—52no—
378C3×C42—51no—
379C3×C42C22×D511yescharacteristic
380C23×C5C24×C314yes—
381C22×D5—28no—
382C22×D5—28no—
383C22×D5—28no—
384C22×D5C24×C314yes—
385C22×D5C24×C311yescharacteristic
386C5×Q8—42no—
387C5×D4—42no—
388C5×D4—44no—
389C2×C4×C5—44no—
390C2×C4×C5C24×C312yes—
391C2×C4×C5C24×C311yescharacteristic
392C2×C4×C5C24×C314yes—
393C2×C4×C5C24×C314yes—
394C22⋊D5—44no—
395C22⋊D5—44no—
396C22⋊D5—44no—
397C2×Dic5—44no—
398C2×Dic5C24×C311yescharacteristic
399C2×Dic5C24×C312yes—
400C2×Dic5C24×C314yes—
401C2×Dic5C24×C314yes—
402D20—42no—
403D20—44no—
404C4×D5—28no—
405C4×D5—28no—
406C4×D5—24no—
407C4×D5—22no—
408C4×D5—44no—
409C4×D5—44no—
410Dic10—42no—
411Dic10—44no—
412C22×Q8—52no—
413C22×D4—54no—
414C22×D4—52no—
415C23×C4—54no—
416#125—54no—
417#125—52no—
418#125—51no—
419#125C2×C3×D511yescharacteristic, complemented
420#124—52no—
421#124—52no—
422#124—54no—
423#124—54no—
424#124—52no—
425#124C2×C3×D512yescomplemented
426#123—54no—
427#123—54no—
428#123—54no—
429#123—54no—
430#123—54no—
431#123—54no—
432#123—54no—
433#123C2×C3×D514yescomplemented
434C22⋊Q8—54no—
435C22⋊Q8—54no—
436C22⋊Q8—54no—
437C22⋊Q8—54no—
438C22⋊Q8—54no—
439C22⋊Q8—54no—
440C22⋊Q8—54no—
441C22⋊Q8C2×C3×D514yescomplemented
442#121—54no—
443#121—54no—
444#121—54no—
445#121—54no—
446#121—54no—
447#121—54no—
448#121—54no—
449#121C2×C3×D514yescomplemented
450C2×C4⋊C4—54no—
451C2×C4⋊C4—54no—
452C2×C4⋊C4—52no—
453C2×C22⋊C4—54no—
454C2×C22⋊C4—54no—
455C2×C22⋊C4—54no—
456C2×C42—51no—
457C2×C3×C5—44no—
458C2×C3×C5C2×H(5,𝔽2)12yes—
459C2×C3×C5C2×2−1+411yescharacteristic
460C3×D5—44no—
461C3×D5#56214yesdirect product factor
462C23×C3—51no—
463C23×C3—54no—
464C23×C3—108no—
465C23×C3—108no—
466C23×C3—108no—
467C23×C3C23×D514yes—
468C3×Q8—42no—
469C3×Q8—204no—
470C3×Q8—202no—
471C3×D4—44no—
472C3×D4—42no—
473C3×D4—204no—
474C3×D4—202no—
475C3×D4—204no—
476C3×D4—204no—
477C3×D4—204no—
478C2×C3×C4—44no—
479C2×C3×C4—51no—
480C2×C3×C4—52no—
481C2×C3×C4—54no—
482C2×C3×C4—54no—
483C2×C3×C4—102no—
484C2×C3×C4—108no—
485C2×C3×C4—108no—
486C2×C3×C4—104no—
487C2×C3×C4—204no—
488C2×C3×C4—204no—
489C2×C3×C4—204no—
490C2×C3×C4C23×D511yescharacteristic
491C2×C3×C4C23×D512yes—
492C2×C3×C4C23×D514yes—
493C2×C3×C4C23×D514yes—
494C22×C5—24no—
495C22×C5—24no—
496C22×C5—24no—
497C22×C5C25×C311yescharacteristic
498C2×D5—24no—
499C2×D5—24no—
500C2×D5—24no—
501C2×D5—416no—
502C2×D5C3×H(5,𝔽2)14yes—
503C2×D5C3×2−1+412yes—
504C4×C5—24no—
505C4×C5—22no—
506C4×C5—24no—
507C4×C5—21no—
508Dic5—24no—
509Dic5—22no—
510Dic5—24no—
511Dic5—21no—
512C24—54no—
513C2×Q8—54no—
514C2×Q8—52no—
515C2×Q8—204no—
516C2×Q8C22×C3×D512yes—
517C2×D4—54no—
518C2×D4—54no—
519C2×D4—54no—
520C2×D4—54no—
521C2×D4—52no—
522C2×D4—208no—
523C2×D4—204no—
524C2×D4C22×C3×D514yes—
525C2×D4C22×C3×D512yes—
526C22×C4—54no—
527C22×C4—51no—
528C22×C4—52no—
529C22×C4—54no—
530C22×C4—54no—
531C22×C4—54no—
532C22×C4—54no—
533C22×C4—208no—
534C22×C4C22×C3×D514yes—
535C4⋊C4—54no—
536C4⋊C4—54no—
537C4⋊C4—54no—
538C4⋊C4—54no—
539C4⋊C4—54no—
540C4⋊C4—54no—
541C4⋊C4—54no—
542C4⋊C4—52no—
543C4⋊C4C22×C3×D514yes—
544C4⋊C4C22×C3×D514yes—
545C4⋊C4C22×C3×D512yes—
546C22⋊C4—54no—
547C22⋊C4—54no—
548C22⋊C4—54no—
549C22⋊C4—54no—
550C22⋊C4—54no—
551C22⋊C4—54no—
552C22⋊C4—54no—
553C22⋊C4—54no—
554C22⋊C4—54no—
555C22⋊C4C22×C3×D514yes—
556C22⋊C4C22×C3×D514yes—
557C22⋊C4C22×C3×D514yes—
558C42—52no—
559C42—51no—
560C42C22×C3×D511yescharacteristic
561C3×C5C2×#56211yescharacteristic, complemented, Hall
562C22×C3—24no—
563C22×C3—24no—
564C22×C3—24no—
565C22×C3—54no—
566C22×C3—52no—
567C22×C3—104no—
568C22×C3—104no—
569C22×C3—104no—
570C22×C3—2016no—
571C22×C3C24×D511yescharacteristic
572C3×C4—24no—
573C3×C4—24no—
574C3×C4—22no—
575C3×C4—21no—
576C3×C4—104no—
577C3×C4—104no—
578C3×C4—102no—
579C3×C4—101no—
580C2×C5—44no—
581C2×C5C2×C3×H(5,𝔽2)12yes—
582C2×C5C2×C3×2−1+411yescharacteristic
583D5—44no—
584D5C3×#56214yesdirect product factor
585C23—51no—
586C23—54no—
587C23—108no—
588C23—108no—
589C23—108no—
590C23C23×C3×D514yes—
591Q8—42no—
592Q8—204no—
593Q8—202no—
594D4—44no—
595D4—42no—
596D4—204no—
597D4—202no—
598D4—204no—
599D4—204no—
600D4—204no—
601C2×C4—44no—
602C2×C4—51no—
603C2×C4—52no—
604C2×C4—54no—
605C2×C4—54no—
606C2×C4—108no—
607C2×C4—108no—
608C2×C4—104no—
609C2×C4—102no—
610C2×C4—204no—
611C2×C4—204no—
612C2×C4—204no—
613C2×C4C23×C3×D511yescharacteristic
614C2×C4C23×C3×D512yes—
615C2×C4C23×C3×D514yes—
616C2×C4C23×C3×D514yes—
617C2×C3—44no—
618C2×C3—54no—
619C2×C3—204no—
620C2×C3D5×H(5,𝔽2)12yes—
621C2×C3D5×2−1+411yescharacteristic
622C5C2×C3×#56211yescharacteristic, complemented, Sylow
623C22—24no—
624C22—24no—
625C22—24no—
626C22—54no—
627C22—52no—
628C22—104no—
629C22—104no—
630C22—104no—
631C22—2016no—
632C22C24×C3×D511yescharacteristic
633C4—24no—
634C4—24no—
635C4—22no—
636C4—21no—
637C4—104no—
638C4—104no—
639C4—102no—
640C4—101no—
641C3D5×#56211yescharacteristic, direct product factor, Sylow
642C2—44no—
643C2—54no—
644C2—204no—
645C2C3×D5×H(5,𝔽2)12yes—
646C2C3×D5×2−1+411yescharacteristic
subgroupG/H
centerC22×C3C24×D5
commutator, cosocleC22×C5C25×C3
FrattiniC22C24×C3×D5
FittingC3×C5×#562C2
socleC22×C3×C5C25
hypercenterC3×#562D5
hypocenterC5C2×C3×#562
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C22×C3 ◁ C3×#562

Complements

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

NH ≅ G/Ntype
1. C3×C5×#562C2semidirect
2. C3×#66034C2semidirect
3. C3×D5×#125C2semidirect
4. C3×#66018C2semidirect
5. C3×D5×#124C2semidirect
6. C3×#66001C2semidirect
7. C3×D5×#123C2semidirect
8. C3×#65981C2semidirect
9. C3×D5×C22⋊Q8C2semidirect
10. C3×#65955C2semidirect
11. C3×D5×#121C2semidirect
12. D5×#562C3direct (N × H)
17. C3×C5×#125C22semidirect
18. C3×C5×#124C22semidirect
19. C3×C5×#123C22semidirect
20. C3×C5×C22⋊Q8C22semidirect
21. C3×C5×#121C22semidirect
22. C3×#4093C22semidirect
23. C3×#4092C22semidirect
24. C3×#4085C22semidirect
25. C3×#4085C22semidirect
26. C3×#4084C22semidirect
27. C3×#4082C22semidirect
28. C3×#4081C22semidirect
29. C3×#4076C22semidirect
30. C3×#4075C22semidirect
31. C3×#4070C22semidirect
32. C3×#4043C22semidirect
33. C3×#4042C22semidirect
34. C3×#4042C22semidirect
35. C3×#4041C22semidirect
36. C3×#4040C22semidirect
37. C3×#4040C22semidirect
41. C3×#4036C22semidirect
42. C3×#4035C22semidirect
43. C3×#4032C22semidirect
44. C3×#4031C22semidirect
45. C3×#4031C22semidirect
46. C3×#4030C22semidirect
47. C3×#4030C22semidirect
48. C3×#4029C22semidirect
49. C3×#4029C22semidirect
53. C3×#4024C22semidirect
54. C3×#4024C22semidirect
55. C3×#4021C22semidirect
57. C3×#4016C22semidirect
59. C5×#562C2×C3semidirect
60. #66034C2×C3semidirect
61. D5×#125C2×C3semidirect
62. #66018C2×C3semidirect
63. D5×#124C2×C3semidirect
64. #66001C2×C3semidirect
65. D5×#123C2×C3semidirect
66. #65981C2×C3semidirect
67. D5×C22⋊Q8C2×C3semidirect
68. #65955C2×C3semidirect
69. D5×#121C2×C3semidirect
124. C3×#562D5direct (N × H)
134. C5×#125C22×C3semidirect
135. C5×#124C22×C3semidirect
136. C5×#123C22×C3semidirect
137. C5×C22⋊Q8C22×C3semidirect
138. C5×#121C22×C3semidirect
139. #4093C22×C3semidirect
140. #4092C22×C3semidirect
141. #4085C22×C3semidirect
142. #4085C22×C3semidirect
143. #4084C22×C3semidirect
144. #4082C22×C3semidirect
145. #4081C22×C3semidirect
146. #4076C22×C3semidirect
147. #4075C22×C3semidirect
148. #4070C22×C3semidirect
149. #4043C22×C3semidirect
150. #4042C22×C3semidirect
151. #4042C22×C3semidirect
152. #4041C22×C3semidirect
153. #4040C22×C3semidirect
154. #4040C22×C3semidirect
158. #4036C22×C3semidirect
159. #4035C22×C3semidirect
160. #4032C22×C3semidirect
161. #4031C22×C3semidirect
162. #4031C22×C3semidirect
163. #4030C22×C3semidirect
164. #4030C22×C3semidirect
165. #4029C22×C3semidirect
166. #4029C22×C3semidirect
170. #4024C22×C3semidirect
171. #4024C22×C3semidirect
172. #4021C22×C3semidirect
174. #4016C22×C3semidirect
215. C3×#125C2×D5semidirect
221. C3×#124C2×D5semidirect
229. C3×#123C2×D5semidirect
237. C3×C22⋊Q8C2×D5semidirect
245. C3×#121C2×D5semidirect
307. #562C3×D5direct (N × H)
419. #125C2×C3×D5semidirect
425. #124C2×C3×D5semidirect
433. #123C2×C3×D5semidirect
441. C22⋊Q8C2×C3×D5semidirect
449. #121C2×C3×D5semidirect
461. C3×D5#562direct (N × H)
561. C3×C5C2×#562semidirect
584. D5C3×#562direct (N × H)
622. C5C2×C3×#562semidirect
641. C3D5×#562direct (N × H)

Maximal subgroups

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

subgroupindex
C3×C5×#5622
C3×#660342
C3×D5×#1252
C3×#660182
C3×D5×#1242
C3×#660012
C3×D5×#1232
C3×#659812
C3×D5×C22⋊Q82
C3×#659552
C3×D5×#1212
D5×#5623
C2×C3×#5625