Finite Group Databasebeta

← C3×C5×#2663 #14275697

Subgroups — C3×C5×#2663 #14275697

Order 1920.

996 conjugacy classes of subgroups.

The subgroup lattice has 548 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C5×#123C211yesmaximal, characteristic
2C2×C3×C5×C22⋊Q8C211yesmaximal, characteristic, complemented
3C3×C5×#400C211yesmaximal, characteristic, complemented
4C3×C5×#399C211yesmaximal, characteristic, complemented
5C3×C5×#397C212yesmaximal, complemented
6C3×C5×#395C211yesmaximal, characteristic, complemented
7C3×C5×#394C212yesmaximal
8C3×C5×#393C211yesmaximal, characteristic, complemented
9C3×C5×#389C212yesmaximal, complemented
10C3×C5×#388C212yesmaximal, complemented
11C3×C4×C5×C22⋊C4C211yesmaximal, characteristic, complemented
12C5×#2663C311yesmaximal, characteristic, direct product factor, Hall
13C22×C3×C5×Q8C2211yescharacteristic
14C22×C3×C5×D4C2211yescharacteristic
15C23×C3×C4×C5C2211yescharacteristic
16C3×C5×#123—24no—
17C3×C5×C22⋊Q8—24no—
18C2×C3×C5×C4⋊C4C2212yes—
19C2×C3×C5×C4⋊C4C2211yescharacteristic
20C2×C3×C5×C4⋊C4C2211yescharacteristic
21C2×C3×C5×C4⋊C4C2211yescharacteristic
22C2×C3×C5×C4⋊C4C2212yes—
23C2×C3×C5×C4⋊C4C2212yes—
24C2×C3×C5×C22⋊C4C2212yes—
25C2×C3×C5×C22⋊C4C2211yescharacteristic
26C2×C3×C5×C22⋊C4C2211yescharacteristic
27C2×C3×C5×C22⋊C4C2211yescharacteristic
28C2×C3×C5×C22⋊C4C2212yes—
29C2×C3×C5×C22⋊C4C2212yes—
30C2×C3×C5×C22⋊C4C2212yes—
31C2×C3×C42×C5C2212yes—
32C3×C5×#95C2211yescharacteristic
33C3×C5×#95C2211yescharacteristic
34C3×C5×#95C2212yes—
35C3×C5×#95C2212yes—
36C3×C5×#95C2212yes—
37C3×C5×#95C2212yes—
38C3×#2663C511yesmaximal, characteristic, direct product factor, Hall
39C2×C5×#123C2×C311yescharacteristic
40C2×C5×C22⋊Q8C2×C311yescharacteristic, complemented
41C5×#400C2×C311yescharacteristic, complemented
42C5×#399C2×C311yescharacteristic, complemented
43C5×#397C2×C312yescomplemented
44C5×#395C2×C311yescharacteristic, complemented
45C5×#394C2×C312yes—
46C5×#393C2×C311yescharacteristic, complemented
47C5×#389C2×C312yescomplemented
48C5×#388C2×C312yescomplemented
49C4×C5×C22⋊C4C2×C311yescharacteristic, complemented
50C24×C3×C5C2311yescharacteristic
51C24×C3×C5C2311yescharacteristic
52C2×C3×C5×Q8—22no—
53C2×C3×C5×Q8—42no—
54C2×C3×C5×D4—22no—
55C2×C3×C5×D4—42no—
56C22×C3×C4×C5—42no—
57C22×C3×C4×C5D414yes—
58C22×C3×C4×C5C2312yes—
59C22×C3×C4×C5C2311yescharacteristic
60C22×C3×C4×C5C2312yes—
61C22×C3×C4×C5C2312yes—
62C22×C3×C4×C5C2311yescharacteristic
63C22×C3×C4×C5C2311yescharacteristic
64C22×C3×C4×C5C2311yescharacteristic
65C22×C3×C4×C5C2311yescharacteristic
66C22×C3×C4×C5C2312yes—
67C3×C5×C4⋊C4—22no—
68C3×C5×C4⋊C4—24no—
69C3×C5×C4⋊C4—22no—
70C3×C5×C4⋊C4—22no—
71C3×C5×C4⋊C4—24no—
72C3×C5×C4⋊C4—42no—
73C3×C5×C22⋊C4—24no—
74C3×C5×C22⋊C4—22no—
75C3×C5×C22⋊C4—22no—
76C3×C5×C22⋊C4—22no—
77C3×C5×C22⋊C4—24no—
78C3×C5×C22⋊C4—24no—
79C3×C5×C22⋊C4—42no—
80C3×C42×C5—42no—
81C2×C3×#123C2×C511yescharacteristic
82C2×C3×C22⋊Q8C2×C511yescharacteristic, complemented
83C3×#400C2×C511yescharacteristic, complemented
84C3×#399C2×C511yescharacteristic, complemented
85C3×#397C2×C512yescomplemented
86C3×#395C2×C511yescharacteristic, complemented
87C3×#394C2×C512yes—
88C3×#393C2×C511yescharacteristic, complemented
89C3×#389C2×C512yescomplemented
90C3×#388C2×C512yescomplemented
91C3×C4×C22⋊C4C2×C511yescharacteristic, complemented
92C22×C5×Q8C22×C311yescharacteristic
93C22×C5×D4C22×C311yescharacteristic
94C23×C4×C5C22×C311yescharacteristic
95C5×#123—24no—
96C5×C22⋊Q8—24no—
97C2×C5×C4⋊C4C22×C312yes—
98C2×C5×C4⋊C4C22×C311yescharacteristic
99C2×C5×C4⋊C4C22×C312yes—
100C2×C5×C4⋊C4C22×C311yescharacteristic
101C2×C5×C4⋊C4C22×C311yescharacteristic
102C2×C5×C4⋊C4C22×C312yes—
103C2×C5×C22⋊C4C22×C312yes—
104C2×C5×C22⋊C4C22×C311yescharacteristic
105C2×C5×C22⋊C4C22×C312yes—
106C2×C5×C22⋊C4C22×C311yescharacteristic
107C2×C5×C22⋊C4C22×C312yes—
108C2×C5×C22⋊C4C22×C311yescharacteristic
109C2×C5×C22⋊C4C22×C312yes—
110C2×C42×C5C22×C312yes—
111C5×#95C22×C311yescharacteristic
112C5×#95C22×C311yescharacteristic
113C5×#95C22×C312yes—
114C5×#95C22×C312yes—
115C5×#95C22×C312yes—
116C5×#95C22×C312yes—
117#2663C3×C511yescharacteristic, direct product factor, Sylow
118C23×C3×C5—22no—
119C23×C3×C5—22no—
120C23×C3×C5—21no—
121C23×C3×C5—21no—
122C23×C3×C5—21no—
123C23×C3×C5—22no—
124C23×C3×C5—22no—
125C23×C3×C5—21no—
126C23×C3×C5—21no—
127C23×C3×C5C2×D412yes—
128C23×C3×C5C2411yescharacteristic
129C3×C5×Q8—44no—
130C3×C5×D4—44no—
131C2×C3×C4×C5—22no—
132C2×C3×C4×C5—22no—
133C2×C3×C4×C5—22no—
134C2×C3×C4×C5—22no—
135C2×C3×C4×C5—21no—
136C2×C3×C4×C5—21no—
137C2×C3×C4×C5—22no—
138C2×C3×C4×C5—22no—
139C2×C3×C4×C5—21no—
140C2×C3×C4×C5—22no—
141C2×C3×C4×C5—22no—
142C2×C3×C4×C5—22no—
143C2×C3×C4×C5—22no—
144C2×C3×C4×C5—22no—
145C2×C3×C4×C5—22no—
146C2×C3×C4×C5—22no—
147C2×C3×C4×C5—22no—
148C2×C3×C4×C5—21no—
149C2×C3×C4×C5—21no—
150C2×C3×C4×C5—22no—
151C2×C3×C4×C5—44no—
152C2×C3×C4×C5C2×D412yes—
153C2×C3×C4×C5C2×D412yes—
154C2×C3×C4×C5#4114yes—
155C22×C3×Q8C22×C511yescharacteristic
156C22×C3×D4C22×C511yescharacteristic
157C23×C3×C4C22×C511yescharacteristic
158C3×#123—24no—
159C3×C22⋊Q8—24no—
160C2×C3×C4⋊C4C22×C512yes—
161C2×C3×C4⋊C4C22×C511yescharacteristic
162C2×C3×C4⋊C4C22×C512yes—
163C2×C3×C4⋊C4C22×C511yescharacteristic
164C2×C3×C4⋊C4C22×C511yescharacteristic
165C2×C3×C4⋊C4C22×C512yes—
166C2×C3×C22⋊C4C22×C512yes—
167C2×C3×C22⋊C4C22×C511yescharacteristic
168C2×C3×C22⋊C4C22×C512yes—
169C2×C3×C22⋊C4C22×C511yescharacteristic
170C2×C3×C22⋊C4C22×C512yes—
171C2×C3×C22⋊C4C22×C511yescharacteristic
172C2×C3×C22⋊C4C22×C512yes—
173C2×C3×C42C22×C512yes—
174C3×#95C22×C511yescharacteristic
175C3×#95C22×C511yescharacteristic
176C3×#95C22×C512yes—
177C3×#95C22×C512yes—
178C3×#95C22×C512yes—
179C3×#95C22×C512yes—
180C24×C5C23×C311yescharacteristic
181C24×C5C23×C311yescharacteristic
182C2×C5×Q8—22no—
183C2×C5×Q8—42no—
184C2×C5×D4—22no—
185C2×C5×D4—42no—
186C22×C4×C5—42no—
187C22×C4×C5C3×D414yes—
188C22×C4×C5C23×C312yes—
189C22×C4×C5C23×C311yescharacteristic
190C22×C4×C5C23×C312yes—
191C22×C4×C5C23×C312yes—
192C22×C4×C5C23×C311yescharacteristic
193C22×C4×C5C23×C311yescharacteristic
194C22×C4×C5C23×C311yescharacteristic
195C22×C4×C5C23×C311yescharacteristic
196C22×C4×C5C23×C312yes—
197C5×C4⋊C4—22no—
198C5×C4⋊C4—24no—
199C5×C4⋊C4—22no—
200C5×C4⋊C4—22no—
201C5×C4⋊C4—24no—
202C5×C4⋊C4—42no—
203C5×C22⋊C4—24no—
204C5×C22⋊C4—22no—
205C5×C22⋊C4—22no—
206C5×C22⋊C4—22no—
207C5×C22⋊C4—24no—
208C5×C22⋊C4—24no—
209C5×C22⋊C4—42no—
210C42×C5—42no—
211C2×#123C2×C3×C511yescharacteristic
212C2×C22⋊Q8C2×C3×C511yescharacteristic, complemented
213#400C2×C3×C511yescharacteristic, complemented
214#399C2×C3×C511yescharacteristic, complemented
215#397C2×C3×C512yescomplemented
216#395C2×C3×C511yescharacteristic, complemented
217#394C2×C3×C512yes—
218#393C2×C3×C511yescharacteristic, complemented
219#389C2×C3×C512yescomplemented
220#388C2×C3×C512yescomplemented
221C4×C22⋊C4C2×C3×C511yescharacteristic, complemented
222C22×C3×C5—22no—
223C22×C3×C5—22no—
224C22×C3×C5—22no—
225C22×C3×C5—42no—
226C22×C3×C5—42no—
227C22×C3×C5—41no—
228C22×C3×C5—41no—
229C22×C3×C5—41no—
230C22×C3×C5—42no—
231C22×C3×C5—42no—
232C22×C3×C5C22×D411yescharacteristic
233C22×C3×C5C2×#4112yes—
234C22×C3×C5H(5,𝔽2)12yes—
235C22×C3×C52−1+411yescharacteristic
236C22×C3×C52−1+411yescharacteristic
237C3×C4×C5—22no—
238C3×C4×C5—22no—
239C3×C4×C5—24no—
240C3×C4×C5—41no—
241C3×C4×C5—42no—
242C3×C4×C5—41no—
243C3×C4×C5—42no—
244C3×C4×C5—41no—
245C3×C4×C5—42no—
246C24×C3C23×C511yescharacteristic
247C24×C3C23×C511yescharacteristic
248C2×C3×Q8—22no—
249C2×C3×Q8—42no—
250C2×C3×D4—22no—
251C2×C3×D4—42no—
252C22×C3×C4—42no—
253C22×C3×C4C5×D414yes—
254C22×C3×C4C23×C512yes—
255C22×C3×C4C23×C511yescharacteristic
256C22×C3×C4C23×C511yescharacteristic
257C22×C3×C4C23×C512yes—
258C22×C3×C4C23×C512yes—
259C22×C3×C4C23×C511yescharacteristic
260C22×C3×C4C23×C511yescharacteristic
261C22×C3×C4C23×C511yescharacteristic
262C22×C3×C4C23×C512yes—
263C3×C4⋊C4—22no—
264C3×C4⋊C4—24no—
265C3×C4⋊C4—22no—
266C3×C4⋊C4—22no—
267C3×C4⋊C4—24no—
268C3×C4⋊C4—42no—
269C3×C22⋊C4—24no—
270C3×C22⋊C4—22no—
271C3×C22⋊C4—22no—
272C3×C22⋊C4—22no—
273C3×C22⋊C4—24no—
274C3×C22⋊C4—24no—
275C3×C22⋊C4—42no—
276C3×C42—42no—
277C23×C5—22no—
278C23×C5—22no—
279C23×C5—21no—
280C23×C5—21no—
281C23×C5—21no—
282C23×C5—22no—
283C23×C5—22no—
284C23×C5—21no—
285C23×C5—21no—
286C23×C5C2×C3×D412yes—
287C23×C5C24×C311yescharacteristic
288C5×Q8—44no—
289C5×D4—44no—
290C2×C4×C5—22no—
291C2×C4×C5—22no—
292C2×C4×C5—22no—
293C2×C4×C5—22no—
294C2×C4×C5—21no—
295C2×C4×C5—21no—
296C2×C4×C5—22no—
297C2×C4×C5—22no—
298C2×C4×C5—21no—
299C2×C4×C5—22no—
300C2×C4×C5—22no—
301C2×C4×C5—22no—
302C2×C4×C5—22no—
303C2×C4×C5—22no—
304C2×C4×C5—22no—
305C2×C4×C5—22no—
306C2×C4×C5—22no—
307C2×C4×C5—21no—
308C2×C4×C5—21no—
309C2×C4×C5—22no—
310C2×C4×C5—44no—
311C2×C4×C5C2×C3×D412yes—
312C2×C4×C5C2×C3×D412yes—
313C2×C4×C5C3×#4114yes—
314C22×Q8C22×C3×C511yescharacteristic
315C22×D4C22×C3×C511yescharacteristic
316C23×C4C22×C3×C511yescharacteristic
317#123—24no—
318C22⋊Q8—24no—
319C2×C4⋊C4C22×C3×C512yes—
320C2×C4⋊C4C22×C3×C511yescharacteristic
321C2×C4⋊C4C22×C3×C511yescharacteristic
322C2×C4⋊C4C22×C3×C511yescharacteristic
323C2×C4⋊C4C22×C3×C512yes—
324C2×C4⋊C4C22×C3×C512yes—
325C2×C22⋊C4C22×C3×C512yes—
326C2×C22⋊C4C22×C3×C511yescharacteristic
327C2×C22⋊C4C22×C3×C511yescharacteristic
328C2×C22⋊C4C22×C3×C511yescharacteristic
329C2×C22⋊C4C22×C3×C512yes—
330C2×C22⋊C4C22×C3×C512yes—
331C2×C22⋊C4C22×C3×C512yes—
332C2×C42C22×C3×C512yes—
333#95C22×C3×C511yescharacteristic
334#95C22×C3×C511yescharacteristic
335#95C22×C3×C512yes—
336#95C22×C3×C512yes—
337#95C22×C3×C512yes—
338#95C22×C3×C512yes—
339C2×C3×C5—42no—
340C2×C3×C5—81no—
341C2×C3×C5#53211yescharacteristic
342C2×C3×C5#53411yescharacteristic
343C2×C3×C5#53611yescharacteristic
344C2×C3×C5#53912yes—
345C2×C3×C5#54212yes—
346C23×C3—22no—
347C23×C3—22no—
348C23×C3—21no—
349C23×C3—21no—
350C23×C3—21no—
351C23×C3—22no—
352C23×C3—22no—
353C23×C3—21no—
354C23×C3—21no—
355C23×C3C2×C5×D412yes—
356C23×C3C24×C511yescharacteristic
357C3×Q8—44no—
358C3×D4—44no—
359C2×C3×C4—22no—
360C2×C3×C4—22no—
361C2×C3×C4—22no—
362C2×C3×C4—22no—
363C2×C3×C4—21no—
364C2×C3×C4—21no—
365C2×C3×C4—22no—
366C2×C3×C4—22no—
367C2×C3×C4—21no—
368C2×C3×C4—22no—
369C2×C3×C4—22no—
370C2×C3×C4—22no—
371C2×C3×C4—22no—
372C2×C3×C4—22no—
373C2×C3×C4—22no—
374C2×C3×C4—22no—
375C2×C3×C4—22no—
376C2×C3×C4—21no—
377C2×C3×C4—21no—
378C2×C3×C4—22no—
379C2×C3×C4—44no—
380C2×C3×C4C2×C5×D412yes—
381C2×C3×C4C2×C5×D412yes—
382C2×C3×C4C5×#4114yes—
383C22×C5—22no—
384C22×C5—22no—
385C22×C5—22no—
386C22×C5—42no—
387C22×C5—42no—
388C22×C5—41no—
389C22×C5—41no—
390C22×C5—41no—
391C22×C5—42no—
392C22×C5—42no—
393C22×C5C22×C3×D411yescharacteristic
394C22×C5C2×C3×#4112yes—
395C22×C5C3×H(5,𝔽2)12yes—
396C22×C5C3×2−1+411yescharacteristic
397C22×C5C3×2−1+411yescharacteristic
398C4×C5—22no—
399C4×C5—22no—
400C4×C5—24no—
401C4×C5—41no—
402C4×C5—42no—
403C4×C5—41no—
404C4×C5—42no—
405C4×C5—41no—
406C4×C5—42no—
407C24C23×C3×C511yescharacteristic
408C24C23×C3×C511yescharacteristic
409C2×Q8—22no—
410C2×Q8—42no—
411C2×D4—22no—
412C2×D4—42no—
413C22×C4—42no—
414C22×C4C3×C5×D414yes—
415C22×C4C23×C3×C512yes—
416C22×C4C23×C3×C511yescharacteristic
417C22×C4C23×C3×C511yescharacteristic
418C22×C4C23×C3×C512yes—
419C22×C4C23×C3×C512yes—
420C22×C4C23×C3×C511yescharacteristic
421C22×C4C23×C3×C511yescharacteristic
422C22×C4C23×C3×C511yescharacteristic
423C22×C4C23×C3×C512yes—
424C4⋊C4—22no—
425C4⋊C4—24no—
426C4⋊C4—22no—
427C4⋊C4—22no—
428C4⋊C4—24no—
429C4⋊C4—42no—
430C22⋊C4—24no—
431C22⋊C4—22no—
432C22⋊C4—22no—
433C22⋊C4—22no—
434C22⋊C4—24no—
435C22⋊C4—24no—
436C22⋊C4—42no—
437C42—42no—
438C3×C5#266311yescharacteristic, direct product factor, Hall
439C22×C3—22no—
440C22×C3—22no—
441C22×C3—22no—
442C22×C3—42no—
443C22×C3—42no—
444C22×C3—41no—
445C22×C3—41no—
446C22×C3—41no—
447C22×C3—42no—
448C22×C3—42no—
449C22×C3C22×C5×D411yescharacteristic
450C22×C3C2×C5×#4112yes—
451C22×C3C5×H(5,𝔽2)12yes—
452C22×C3C5×2−1+411yescharacteristic
453C22×C3C5×2−1+411yescharacteristic
454C3×C4—22no—
455C3×C4—22no—
456C3×C4—24no—
457C3×C4—41no—
458C3×C4—42no—
459C3×C4—41no—
460C3×C4—42no—
461C3×C4—41no—
462C3×C4—42no—
463C2×C5—42no—
464C2×C5—81no—
465C2×C5C3×#53211yescharacteristic
466C2×C5C3×#53411yescharacteristic
467C2×C5C3×#53611yescharacteristic
468C2×C5C3×#53912yes—
469C2×C5C3×#54212yes—
470C23—22no—
471C23—22no—
472C23—21no—
473C23—21no—
474C23—21no—
475C23—22no—
476C23—22no—
477C23—21no—
478C23—21no—
479C23C2×C3×C5×D412yes—
480C23C24×C3×C511yescharacteristic
481Q8—44no—
482D4—44no—
483C2×C4—22no—
484C2×C4—22no—
485C2×C4—22no—
486C2×C4—22no—
487C2×C4—21no—
488C2×C4—21no—
489C2×C4—22no—
490C2×C4—22no—
491C2×C4—21no—
492C2×C4—22no—
493C2×C4—22no—
494C2×C4—22no—
495C2×C4—22no—
496C2×C4—22no—
497C2×C4—22no—
498C2×C4—22no—
499C2×C4—22no—
500C2×C4—21no—
501C2×C4—21no—
502C2×C4—22no—
503C2×C4—44no—
504C2×C4C2×C3×C5×D412yes—
505C2×C4C2×C3×C5×D412yes—
506C2×C4C3×C5×#4114yes—
507C2×C3—42no—
508C2×C3—81no—
509C2×C3C5×#53211yescharacteristic
510C2×C3C5×#53411yescharacteristic
511C2×C3C5×#53611yescharacteristic
512C2×C3C5×#53912yes—
513C2×C3C5×#54212yes—
514C5C3×#266311yescharacteristic, direct product factor, Sylow
515C22—22no—
516C22—22no—
517C22—22no—
518C22—42no—
519C22—42no—
520C22—41no—
521C22—41no—
522C22—41no—
523C22—42no—
524C22—42no—
525C22C22×C3×C5×D411yescharacteristic
526C22C2×C3×C5×#4112yes—
527C22C3×C5×H(5,𝔽2)12yes—
528C22C3×C5×2−1+411yescharacteristic
529C22C3×C5×2−1+411yescharacteristic
530C4—22no—
531C4—22no—
532C4—24no—
533C4—41no—
534C4—42no—
535C4—41no—
536C4—42no—
537C4—41no—
538C4—42no—
539C3C5×#266311yescharacteristic, direct product factor, Sylow
540C2—42no—
541C2—81no—
542C2C3×C5×#53211yescharacteristic
543C2C3×C5×#53411yescharacteristic
544C2C3×C5×#53611yescharacteristic
545C2C3×C5×#53912yes—
546C2C3×C5×#54212yes—
subgroupG/H
center, socleC23×C3×C5C24
commutator, Frattini, cosocleC23C24×C3×C5
prime radicalC22×C3×C5×D4C22
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C3×C5 ◁ G

Complements

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

NH ≅ G/Ntype
2. C2×C3×C5×C22⋊Q8C2semidirect
3. C3×C5×#400C2semidirect
4. C3×C5×#399C2semidirect
5. C3×C5×#397C2semidirect
6. C3×C5×#395C2semidirect
8. C3×C5×#393C2semidirect
9. C3×C5×#389C2semidirect
10. C3×C5×#388C2semidirect
11. C3×C4×C5×C22⋊C4C2semidirect
12. C5×#2663C3direct (N × H)
38. C3×#2663C5direct (N × H)
40. C2×C5×C22⋊Q8C2×C3semidirect
41. C5×#400C2×C3semidirect
42. C5×#399C2×C3semidirect
43. C5×#397C2×C3semidirect
44. C5×#395C2×C3semidirect
46. C5×#393C2×C3semidirect
47. C5×#389C2×C3semidirect
48. C5×#388C2×C3semidirect
49. C4×C5×C22⋊C4C2×C3semidirect
82. C2×C3×C22⋊Q8C2×C5semidirect
83. C3×#400C2×C5semidirect
84. C3×#399C2×C5semidirect
85. C3×#397C2×C5semidirect
86. C3×#395C2×C5semidirect
88. C3×#393C2×C5semidirect
89. C3×#389C2×C5semidirect
90. C3×#388C2×C5semidirect
91. C3×C4×C22⋊C4C2×C5semidirect
117. #2663C3×C5direct (N × H)
212. C2×C22⋊Q8C2×C3×C5semidirect
213. #400C2×C3×C5semidirect
214. #399C2×C3×C5semidirect
215. #397C2×C3×C5semidirect
216. #395C2×C3×C5semidirect
218. #393C2×C3×C5semidirect
219. #389C2×C3×C5semidirect
220. #388C2×C3×C5semidirect
221. C4×C22⋊C4C2×C3×C5semidirect
438. C3×C5#2663direct (N × H)
514. C5C3×#2663direct (N × H)
539. C3C5×#2663direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×C5×#1232
C2×C3×C5×C22⋊Q82
C3×C5×#4002
C3×C5×#3992
C3×C5×#3972
C3×C5×#3952
C3×C5×#3942
C3×C5×#3932
C3×C5×#3892
C3×C5×#3882
C3×C4×C5×C22⋊C42
C5×#26633
C3×#26635