Finite Group Databasebeta

← C3×D5×#544 #14481727

Subgroups — C3×D5×#544 #14481727

Order 1920.

2160 conjugacy classes of subgroups.

The subgroup lattice has 576 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C5×#544C211yesmaximal, characteristic, complemented
2C3×#66063C214yesmaximal, complemented
3C3×D5×C4⋊Q8C214yesmaximal, complemented
4C3×#66023C214yesmaximal, complemented
5C3×D5×#125C214yesmaximal, complemented
6C3×D5×C22⋊Q8C214yesmaximal
7C3×#65957C214yesmaximal, complemented
8C3×D5×#117C212yesmaximal
9C3×#65853C212yesmaximal, complemented
10C2×C3×D5×C4⋊C4C211yesmaximal, characteristic
11C3×#65834C211yesmaximal, characteristic, complemented
12D5×#544C311yesmaximal, characteristic, direct product factor, Hall
13C2×C3×Q8×D5C2214yes—
14C22×C3×C4×D5C2212yes—
15C22×C3×C4×D5C2211yescharacteristic
16C3×C5×C4⋊Q8C2214yescomplemented
17C3×C5×#125C2214yescomplemented
18C3×C5×C22⋊Q8C2214yes—
19C3×C5×#117C2212yes—
20C2×C3×C5×C4⋊C4C2211yescharacteristic
21C3×#4092C2214yes—
22C3×#4090C2218yescomplemented
23C3×#4072C2212yes—
24C2×C3×C4⋊Dic5C2211yescharacteristic
25C3×#4070C2214yes—
26C2×C3×#683C2212yes—
27C3×#4043C2214yes—
28C3×#4042C2218yes—
29C3×#4038C2212yes—
30C3×#4038C2212yes—
31C3×D5×C4⋊C4C2212yes—
32C3×D5×C4⋊C4C2212yes—
33C3×D5×C4⋊C4C2214yes—
34C3×D5×C4⋊C4C2218yes—
35C3×D5×C4⋊C4C2214yes—
36C3×D5×C4⋊C4C2214yes—
37C3×#4036C2214yescomplemented
38C3×#4036C2214yescomplemented
39C3×#4035C2218yescomplemented
40C3×#4035C2218yescomplemented
41C3×#4034C2214yescomplemented
42C3×#4034C2218yescomplemented
43C3×#4034C2214yescomplemented
44C3×D5×C22⋊C4C2214yes—
45C3×#4024C2218yes—
46C3×#4023C2214yes—
47C3×#4018C2214yes—
48C3×C42×D5C2214yes—
49C3×#4016C2214yescomplemented
50C3×#4015C2214yescomplemented
51C2×C3×#544—51nomaximal, Hall
52C5×#544C2×C311yescharacteristic, complemented
53#66063C2×C314yescomplemented
54D5×C4⋊Q8C2×C314yescomplemented
55#66023C2×C314yescomplemented
56D5×#125C2×C314yescomplemented
57D5×C22⋊Q8C2×C314yes—
58#65957C2×C314yescomplemented
59D5×#117C2×C312yes—
60#65853C2×C312yescomplemented
61C2×D5×C4⋊C4C2×C311yescharacteristic
62#65834C2×C311yescharacteristic, complemented
63C23×C3×D5C2311yescharacteristic
64C2×C3×C5×Q8C2314yes—
65C22×C3×C4×C5C2312yes—
66C22×C3×C4×C5C2311yescharacteristic
67C22×C3×Dic5C2312yes—
68C22×C3×Dic5C2311yescharacteristic
69C3×Q8×D5—48no—
70C2×C3×C4×D5—44no—
71C2×C3×C4×D5Q818yescomplemented
72C2×C3×C4×D5C2314yes—
73C2×C3×C4×D5C2314yes—
74C2×C3×C4×D5C2314yes—
75C2×C3×C4×D5C2314yes—
76C2×C3×C4×D5C2312yes—
77C2×C3×C4×D5C2312yes—
78C2×C3×Dic10C2318yes—
79C2×C3×Dic10C2314yes—
80C3×C5×C4⋊C4C2314yes—
81C3×C5×C4⋊C4C2312yes—
82C3×C5×C4⋊C4C2312yes—
83C3×C5×C4⋊C4C2314yes—
84C3×C5×C4⋊C4C2318yes—
85C3×C5×C22⋊C4C2314yes—
86C3×C42×C5C2314yes—
87C3×C22⋊Dic5C2314yes—
88C3×#685C2314yes—
89C3×#685C2314yes—
90C3×C4⋊Dic5C2314yes—
91C3×C4⋊Dic5C2312yes—
92C3×C4⋊Dic5C2314yes—
93C3×C4⋊Dic5C2318yes—
94C3×C4⋊Dic5C2312yes—
95C3×#683C2314yes—
96C3×#683C2318yes—
97C3×#683C2318yes—
98C3×#683C2318yes—
99C3×#683C2318yes—
100C3×#683C2314yes—
101C3×C4×Dic5C2314yes—
102C3×C4×Dic5C2314yes—
103C3×C4×Dic5C2314yes—
104C3×#544—54no—
105C3×#544—54no—
106C3×#544—54no—
107C3×#544—52no—
108C3×#544—51no—
109C3×#544D511yescharacteristic, direct product factor
110C2×C3×C4⋊Q8—54no—
111C2×C3×#125—54no—
112C2×C3×C22⋊Q8—54no—
113C2×C3×#117—52no—
114C22×C3×C4⋊C4—51no—
115C2×Q8×D5C22×C314yes—
116C22×C4×D5C22×C312yes—
117C22×C4×D5C22×C311yescharacteristic
118C5×C4⋊Q8C22×C314yescomplemented
119C5×#125C22×C314yescomplemented
120C5×C22⋊Q8C22×C314yes—
121C5×#117C22×C312yes—
122C2×C5×C4⋊C4C22×C311yescharacteristic
123#4092C22×C314yes—
124#4090C22×C318yescomplemented
125#4072C22×C312yes—
126C2×C4⋊Dic5C22×C311yescharacteristic
127#4070C22×C314yes—
128C2×#683C22×C312yes—
129#4043C22×C314yes—
130#4042C22×C318yes—
131#4038C22×C312yes—
132#4038C22×C312yes—
133D5×C4⋊C4C22×C312yes—
134D5×C4⋊C4C22×C314yes—
135D5×C4⋊C4C22×C318yes—
136D5×C4⋊C4C22×C314yes—
137D5×C4⋊C4C22×C312yes—
138D5×C4⋊C4C22×C314yes—
139#4036C22×C314yescomplemented
140#4036C22×C314yescomplemented
141#4035C22×C318yescomplemented
142#4035C22×C318yescomplemented
143#4034C22×C314yescomplemented
144#4034C22×C314yescomplemented
145#4034C22×C318yescomplemented
146D5×C22⋊C4C22×C314yes—
147#4024C22×C318yes—
148#4023C22×C314yes—
149#4018C22×C314yes—
150C42×D5C22×C314yes—
151#4016C22×C314yescomplemented
152#4015C22×C314yescomplemented
153C2×#544—51noSylow
154C23×C3×C5C2411yescharacteristic
155C22×C3×D5—22no—
156C22×C3×D5—22no—
157C22×C3×D5C2×Q814yes—
158C22×C3×D5C2411yescharacteristic
159C22×C3×D5C2411yescharacteristic
160C3×C5×Q8—44no—
161C2×C3×C4×C5—42no—
162C2×C3×C4×C5C2×Q814yescomplemented
163C2×C3×C4×C5C2414yes—
164C2×C3×C4×C5C2414yes—
165C2×C3×C4×C5C2414yes—
166C2×C3×C4×C5C2412yes—
167C2×C3×Dic5—42no—
168C2×C3×Dic5C2×Q814yescomplemented
169C2×C3×Dic5C2414yes—
170C2×C3×Dic5C2414yes—
171C2×C3×Dic5C2414yes—
172C2×C3×Dic5C2412yes—
173C3×C4×D5—28no—
174C3×C4×D5—28no—
175C3×C4×D5—28no—
176C3×C4×D5—44no—
177C3×C4×D5C2×Q818yes—
178C3×C4×D5C2×Q818yescomplemented
179C3×Dic10—44no—
180C3×Dic10—48no—
181C22×C3×Q8—54no—
182C23×C3×C4—51no—
183C23×C3×C4—52no—
184C3×C4⋊Q8—58no—
185C3×C4⋊Q8—58no—
186C3×C4⋊Q8—54no—
187C3×C4⋊Q8—54no—
188C3×C4⋊Q8—54no—
189C3×C4⋊Q8C2×D514yescomplemented
190C3×#125—58no—
191C3×#125—58no—
192C3×#125—54no—
193C3×#125—54no—
194C3×#125—54no—
195C3×#125C2×D514yescomplemented
196C3×C22⋊Q8—54no—
197C3×C22⋊Q8—54no—
198C3×C22⋊Q8—58no—
199C3×C22⋊Q8—54no—
200C3×C22⋊Q8—58no—
201C3×C22⋊Q8C2×D514yes—
202C3×#117—52no—
203C3×#117—52no—
204C3×#117—52no—
205C3×#117—54no—
206C3×#117—54no—
207C3×#117C2×D512yes—
208C2×C3×C4⋊C4—52no—
209C2×C3×C4⋊C4—51no—
210C2×C3×C4⋊C4—54no—
211C2×C3×C4⋊C4—54no—
212C2×C3×C4⋊C4—52no—
213C2×C3×C4⋊C4—52no—
214C2×C3×C4⋊C4—54no—
215C2×C3×C4⋊C4—58no—
216C2×C3×C4⋊C4C2×D511yescharacteristic
217C2×C3×C22⋊C4—54no—
218C2×C3×C42—54no—
219C23×D5C23×C311yescharacteristic
220C2×C5×Q8C23×C314yes—
221C22×C4×C5C23×C312yes—
222C22×C4×C5C23×C311yescharacteristic
223C22×Dic5C23×C312yes—
224C22×Dic5C23×C311yescharacteristic
225Q8×D5—48no—
226C2×C4×D5—44no—
227C2×C4×D5C3×Q818yescomplemented
228C2×C4×D5C23×C314yes—
229C2×C4×D5C23×C314yes—
230C2×C4×D5C23×C314yes—
231C2×C4×D5C23×C314yes—
232C2×C4×D5C23×C312yes—
233C2×C4×D5C23×C312yes—
234C2×Dic10C23×C318yes—
235C2×Dic10C23×C314yes—
236C5×C4⋊C4C23×C314yes—
237C5×C4⋊C4C23×C312yes—
238C5×C4⋊C4C23×C312yes—
239C5×C4⋊C4C23×C314yes—
240C5×C4⋊C4C23×C318yes—
241C5×C22⋊C4C23×C314yes—
242C42×C5C23×C314yes—
243C22⋊Dic5C23×C314yes—
244#685C23×C314yes—
245#685C23×C314yes—
246C4⋊Dic5C23×C312yes—
247C4⋊Dic5C23×C314yes—
248C4⋊Dic5C23×C318yes—
249C4⋊Dic5C23×C312yes—
250C4⋊Dic5C23×C314yes—
251#683C23×C318yes—
252#683C23×C318yes—
253#683C23×C314yes—
254#683C23×C314yes—
255#683C23×C318yes—
256#683C23×C318yes—
257C4×Dic5C23×C314yes—
258C4×Dic5C23×C314yes—
259C4×Dic5C23×C314yes—
260#544—54no—
261#544—54no—
262#544—54no—
263#544—52no—
264#544—51no—
265#544C3×D511yescharacteristic, direct product factor
266C2×C4⋊Q8—54no—
267C2×#125—54no—
268C2×C22⋊Q8—54no—
269C2×#117—52no—
270C22×C4⋊C4—51no—
271C22×C3×C5—21no—
272C22×C3×C5—21no—
273C22×C3×C5C22×Q812yes—
274C22×C3×C5C2511yescharacteristic
275C2×C3×D5—21no—
276C2×C3×D5—21no—
277C2×C3×D5—28no—
278C2×C3×D5C22×Q812yes—
279C2×C3×D5C22×Q812yes—
280C2×C3×D5H(5,𝔽2)12yes—
281C2×C3×D52−1+412yes—
282C3×C4×C5—24no—
283C3×C4×C5—24no—
284C3×C4×C5—24no—
285C3×C4×C5C22×Q814yes—
286C3×Dic5—24no—
287C3×Dic5—24no—
288C3×Dic5—24no—
289C3×Dic5C22×Q814yes—
290C24×C3—51no—
291C2×C3×Q8—54no—
292C2×C3×Q8—58no—
293C2×C3×Q8—208no—
294C2×C3×Q8C22×D514yes—
295C22×C3×C4—51no—
296C22×C3×C4—58no—
297C22×C3×C4—52no—
298C22×C3×C4—52no—
299C22×C3×C4—52no—
300C22×C3×C4—54no—
301C22×C3×C4—54no—
302C22×C3×C4—54no—
303C22×C3×C4—54no—
304C22×C3×C4—204no—
305C22×C3×C4C22×D512yes—
306C22×C3×C4C22×D511yescharacteristic
307C3×C4⋊C4—58no—
308C3×C4⋊C4—54no—
309C3×C4⋊C4—54no—
310C3×C4⋊C4—58no—
311C3×C4⋊C4—58no—
312C3×C4⋊C4—58no—
313C3×C4⋊C4—54no—
314C3×C4⋊C4—52no—
315C3×C4⋊C4—52no—
316C3×C4⋊C4—54no—
317C3×C4⋊C4—58no—
318C3×C4⋊C4C22×D514yes—
319C3×C4⋊C4C22×D512yes—
320C3×C4⋊C4C22×D512yes—
321C3×C4⋊C4C22×D514yes—
322C3×C4⋊C4C22×D518yes—
323C3×C22⋊C4—54no—
324C3×C22⋊C4—54no—
325C3×C22⋊C4—54no—
326C3×C22⋊C4C22×D514yes—
327C3×C42—54no—
328C3×C42—54no—
329C3×C42—54no—
330C3×C42C22×D514yes—
331C23×C5C24×C311yescharacteristic
332C22×D5—22no—
333C22×D5—22no—
334C22×D5C2×C3×Q814yes—
335C22×D5C24×C311yescharacteristic
336C22×D5C24×C311yescharacteristic
337C5×Q8—44no—
338C2×C4×C5—42no—
339C2×C4×C5C2×C3×Q814yescomplemented
340C2×C4×C5C24×C314yes—
341C2×C4×C5C24×C314yes—
342C2×C4×C5C24×C314yes—
343C2×C4×C5C24×C312yes—
344C2×Dic5—42no—
345C2×Dic5C2×C3×Q814yescomplemented
346C2×Dic5C24×C314yes—
347C2×Dic5C24×C314yes—
348C2×Dic5C24×C314yes—
349C2×Dic5C24×C312yes—
350C4×D5—28no—
351C4×D5—28no—
352C4×D5—28no—
353C4×D5—44no—
354C4×D5C2×C3×Q818yes—
355C4×D5C2×C3×Q818yescomplemented
356Dic10—44no—
357Dic10—48no—
358C22×Q8—54no—
359C23×C4—51no—
360C23×C4—52no—
361C4⋊Q8—58no—
362C4⋊Q8—58no—
363C4⋊Q8—54no—
364C4⋊Q8—54no—
365C4⋊Q8—54no—
366C4⋊Q8C2×C3×D514yescomplemented
367#125—58no—
368#125—58no—
369#125—54no—
370#125—54no—
371#125—54no—
372#125C2×C3×D514yescomplemented
373C22⋊Q8—54no—
374C22⋊Q8—54no—
375C22⋊Q8—58no—
376C22⋊Q8—54no—
377C22⋊Q8—58no—
378C22⋊Q8C2×C3×D514yes—
379#117—52no—
380#117—52no—
381#117—52no—
382#117—54no—
383#117—54no—
384#117C2×C3×D512yes—
385C2×C4⋊C4—52no—
386C2×C4⋊C4—51no—
387C2×C4⋊C4—54no—
388C2×C4⋊C4—54no—
389C2×C4⋊C4—52no—
390C2×C4⋊C4—52no—
391C2×C4⋊C4—54no—
392C2×C4⋊C4—58no—
393C2×C4⋊C4C2×C3×D511yescharacteristic
394C2×C22⋊C4—54no—
395C2×C42—54no—
396C2×C3×C5—22no—
397C2×C3×C5C23×Q811yescharacteristic
398C2×C3×C5C2×H(5,𝔽2)11yescharacteristic
399C2×C3×C5C2×2−1+411yescharacteristic
400C3×D5—22no—
401C3×D5#54414yesdirect product factor
402C23×C3—51no—
403C23×C3—54no—
404C23×C3—51no—
405C23×C3—102no—
406C23×C3—102no—
407C23×C3C23×D511yescharacteristic
408C3×Q8—44no—
409C3×Q8—204no—
410C3×Q8—208no—
411C2×C3×C4—42no—
412C2×C3×C4—54no—
413C2×C3×C4—52no—
414C2×C3×C4—58no—
415C2×C3×C4—58no—
416C2×C3×C4—54no—
417C2×C3×C4—54no—
418C2×C3×C4—54no—
419C2×C3×C4—108no—
420C2×C3×C4—108no—
421C2×C3×C4—108no—
422C2×C3×C4—204no—
423C2×C3×C4—202no—
424C2×C3×C4Q8×D514yescomplemented
425C2×C3×C4C23×D514yes—
426C2×C3×C4C23×D514yes—
427C2×C3×C4C23×D514yes—
428C2×C3×C4C23×D512yes—
429C22×C5—21no—
430C22×C5—21no—
431C22×C5C22×C3×Q812yes—
432C22×C5C25×C311yescharacteristic
433C2×D5—21no—
434C2×D5—21no—
435C2×D5—28no—
436C2×D5C22×C3×Q812yes—
437C2×D5C22×C3×Q812yes—
438C2×D5C3×H(5,𝔽2)12yes—
439C2×D5C3×2−1+412yes—
440C4×C5—24no—
441C4×C5—24no—
442C4×C5—24no—
443C4×C5C22×C3×Q814yes—
444Dic5—24no—
445Dic5—24no—
446Dic5—24no—
447Dic5C22×C3×Q814yes—
448C24—51no—
449C2×Q8—54no—
450C2×Q8—58no—
451C2×Q8—208no—
452C2×Q8C22×C3×D514yes—
453C22×C4—51no—
454C22×C4—58no—
455C22×C4—52no—
456C22×C4—52no—
457C22×C4—52no—
458C22×C4—54no—
459C22×C4—54no—
460C22×C4—54no—
461C22×C4—54no—
462C22×C4—204no—
463C22×C4C22×C3×D512yes—
464C22×C4C22×C3×D511yescharacteristic
465C4⋊C4—58no—
466C4⋊C4—54no—
467C4⋊C4—54no—
468C4⋊C4—52no—
469C4⋊C4—54no—
470C4⋊C4—52no—
471C4⋊C4—58no—
472C4⋊C4—54no—
473C4⋊C4—58no—
474C4⋊C4—58no—
475C4⋊C4—58no—
476C4⋊C4C22×C3×D514yes—
477C4⋊C4C22×C3×D512yes—
478C4⋊C4C22×C3×D512yes—
479C4⋊C4C22×C3×D514yes—
480C4⋊C4C22×C3×D518yes—
481C22⋊C4—54no—
482C22⋊C4—54no—
483C22⋊C4—54no—
484C22⋊C4C22×C3×D514yes—
485C42—54no—
486C42—54no—
487C42—54no—
488C42C22×C3×D514yes—
489C3×C5C2×#54411yescharacteristic, complemented, Hall
490C22×C3—21no—
491C22×C3—21no—
492C22×C3—52no—
493C22×C3—52no—
494C22×C3—52no—
495C22×C3—52no—
496C22×C3—108no—
497C22×C3—101no—
498C22×C3—101no—
499C22×C3C2×Q8×D512yes—
500C22×C3C24×D511yescharacteristic
501C3×C4—24no—
502C3×C4—24no—
503C3×C4—24no—
504C3×C4—54no—
505C3×C4—104no—
506C3×C4—104no—
507C3×C4—104no—
508C3×C4C2×Q8×D514yes—
509C2×C5—22no—
510C2×C5C23×C3×Q811yescharacteristic
511C2×C5C2×C3×H(5,𝔽2)11yescharacteristic
512C2×C5C2×C3×2−1+411yescharacteristic
513D5—22no—
514D5C3×#54414yesdirect product factor
515C23—51no—
516C23—54no—
517C23—51no—
518C23—102no—
519C23—102no—
520C23C23×C3×D511yescharacteristic
521Q8—44no—
522Q8—204no—
523Q8—208no—
524C2×C4—42no—
525C2×C4—54no—
526C2×C4—52no—
527C2×C4—58no—
528C2×C4—58no—
529C2×C4—54no—
530C2×C4—54no—
531C2×C4—54no—
532C2×C4—108no—
533C2×C4—108no—
534C2×C4—108no—
535C2×C4—204no—
536C2×C4—202no—
537C2×C4C3×Q8×D514yescomplemented
538C2×C4C23×C3×D514yes—
539C2×C4C23×C3×D514yes—
540C2×C4C23×C3×D514yes—
541C2×C4C23×C3×D512yes—
542C2×C3—22no—
543C2×C3—54no—
544C2×C3—102no—
545C2×C3C22×Q8×D511yescharacteristic
546C2×C3D5×H(5,𝔽2)11yescharacteristic
547C2×C3D5×2−1+411yescharacteristic
548C5C2×C3×#54411yescharacteristic, complemented, Sylow
549C22—21no—
550C22—21no—
551C22—52no—
552C22—52no—
553C22—52no—
554C22—52no—
555C22—108no—
556C22—101no—
557C22—101no—
558C22C2×C3×Q8×D512yes—
559C22C24×C3×D511yescharacteristic
560C4—24no—
561C4—24no—
562C4—24no—
563C4—54no—
564C4—104no—
565C4—104no—
566C4—104no—
567C4C2×C3×Q8×D514yes—
568C3D5×#54411yescharacteristic, direct product factor, Sylow
569C2—22no—
570C2—54no—
571C2—102no—
572C2C22×C3×Q8×D511yescharacteristic
573C2C3×D5×H(5,𝔽2)11yescharacteristic
574C2C3×D5×2−1+411yescharacteristic
subgroupG/H
centerC22×C3C24×D5
commutator, cosocleC22×C5C25×C3
FrattiniC22C24×C3×D5
FittingC3×C5×#544C2
socleC22×C3×C5C25
prime radicalC23×C3×D5C23
hypercenterC3×#544D5
hypocenterC5C2×C3×#544
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C22×C3 ◁ C3×#544

Complements

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

NH ≅ G/Ntype
1. C3×C5×#544C2semidirect
2. C3×#66063C2semidirect
3. C3×D5×C4⋊Q8C2semidirect
4. C3×#66023C2semidirect
5. C3×D5×#125C2semidirect
7. C3×#65957C2semidirect
9. C3×#65853C2semidirect
11. C3×#65834C2semidirect
12. D5×#544C3direct (N × H)
16. C3×C5×C4⋊Q8C22semidirect
17. C3×C5×#125C22semidirect
22. C3×#4090C22semidirect
37. C3×#4036C22semidirect
38. C3×#4036C22semidirect
39. C3×#4035C22semidirect
40. C3×#4035C22semidirect
41. C3×#4034C22semidirect
42. C3×#4034C22semidirect
43. C3×#4034C22semidirect
49. C3×#4016C22semidirect
50. C3×#4015C22semidirect
52. C5×#544C2×C3semidirect
53. #66063C2×C3semidirect
54. D5×C4⋊Q8C2×C3semidirect
55. #66023C2×C3semidirect
56. D5×#125C2×C3semidirect
58. #65957C2×C3semidirect
60. #65853C2×C3semidirect
62. #65834C2×C3semidirect
71. C2×C3×C4×D5Q8semidirect
109. C3×#544D5direct (N × H)
118. C5×C4⋊Q8C22×C3semidirect
119. C5×#125C22×C3semidirect
124. #4090C22×C3semidirect
139. #4036C22×C3semidirect
140. #4036C22×C3semidirect
141. #4035C22×C3semidirect
142. #4035C22×C3semidirect
143. #4034C22×C3semidirect
144. #4034C22×C3semidirect
145. #4034C22×C3semidirect
151. #4016C22×C3semidirect
152. #4015C22×C3semidirect
162. C2×C3×C4×C5C2×Q8semidirect
168. C2×C3×Dic5C2×Q8semidirect
178. C3×C4×D5C2×Q8semidirect
189. C3×C4⋊Q8C2×D5semidirect
195. C3×#125C2×D5semidirect
227. C2×C4×D5C3×Q8semidirect
265. #544C3×D5direct (N × H)
339. C2×C4×C5C2×C3×Q8semidirect
345. C2×Dic5C2×C3×Q8semidirect
355. C4×D5C2×C3×Q8semidirect
366. C4⋊Q8C2×C3×D5semidirect
372. #125C2×C3×D5semidirect
401. C3×D5#544direct (N × H)
424. C2×C3×C4Q8×D5semidirect
489. C3×C5C2×#544semidirect
514. D5C3×#544direct (N × H)
537. C2×C4C3×Q8×D5semidirect
548. C5C2×C3×#544semidirect
568. C3D5×#544direct (N × H)

Maximal subgroups

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

subgroupindex
C3×C5×#5442
C3×#660632
C3×D5×C4⋊Q82
C3×#660232
C3×D5×#1252
C3×D5×C22⋊Q82
C3×#659572
C3×D5×#1172
C3×#658532
C2×C3×D5×C4⋊C42
C3×#658342
D5×#5443
C2×C3×#5445