Finite Group Databasebeta

← C3×C5×#2497 #14275531

Subgroups — C3×C5×#2497 #14275531

Order 1920.

856 conjugacy classes of subgroups.

The subgroup lattice has 544 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C5×#400C212yesmaximal, complemented
2C3×C5×#396C212yesmaximal
3C3×C5×#389C211yesmaximal, characteristic, complemented
4C3×C5×#389C211yesmaximal, characteristic, complemented
5C3×C5×#388C212yesmaximal
6C3×C5×#387C212yesmaximal, complemented
7C3×C5×#384C211yesmaximal, characteristic, complemented
8C3×C5×#380C211yesmaximal, characteristic
9C3×C5×#380C211yesmaximal, characteristic
10C3×C4×C5×C4⋊C4C211yesmaximal, characteristic, complemented
11C3×C4×C5×C22⋊C4C211yesmaximal, characteristic
12C5×#2497C311yesmaximal, characteristic, direct product factor, Hall
13C23×C3×C4×C5C2211yescharacteristic
14C2×C3×C5×C4⋊C4C2211yescharacteristic
15C2×C3×C5×C4⋊C4C2211yescharacteristic
16C2×C3×C5×C4⋊C4C2211yescharacteristic
17C2×C3×C5×C4⋊C4C2211yescharacteristic
18C2×C3×C5×C4⋊C4C2212yes—
19C2×C3×C5×C4⋊C4C2212yes—
20C2×C3×C5×C4⋊C4C2212yes—
21C2×C3×C5×C4⋊C4C2212yes—
22C2×C3×C5×C22⋊C4C2211yescharacteristic
23C2×C3×C5×C22⋊C4C2212yes—
24C2×C3×C5×C22⋊C4C2212yes—
25C2×C3×C5×C22⋊C4C2211yescharacteristic
26C2×C3×C42×C5C2211yescharacteristic
27C2×C3×C42×C5C2211yescharacteristic
28C2×C3×C42×C5C2212yes—
29C3×C5×#95C2211yescharacteristic
30C3×C5×#95C2211yescharacteristic
31C3×C5×#95C2212yes—
32C3×C5×#95C2212yes—
33C3×C5×#95C2212yes—
34C3×C5×#95C2212yes—
35C3×C5×#95C2212yes—
36C3×#2497C511yesmaximal, characteristic, direct product factor, Hall
37C5×#400C2×C312yescomplemented
38C5×#396C2×C312yes—
39C5×#389C2×C311yescharacteristic, complemented
40C5×#389C2×C311yescharacteristic, complemented
41C5×#388C2×C312yes—
42C5×#387C2×C312yescomplemented
43C5×#384C2×C311yescharacteristic, complemented
44C5×#380C2×C311yescharacteristic
45C5×#380C2×C311yescharacteristic
46C4×C5×C4⋊C4C2×C311yescharacteristic, complemented
47C4×C5×C22⋊C4C2×C311yescharacteristic
48C24×C3×C5C2311yescharacteristic
49C22×C3×C4×C5—22no—
50C22×C3×C4×C5—22no—
51C22×C3×C4×C5—22no—
52C22×C3×C4×C5C2312yes—
53C22×C3×C4×C5C2311yescharacteristic
54C22×C3×C4×C5C2312yes—
55C22×C3×C4×C5C2312yes—
56C22×C3×C4×C5C2312yes—
57C22×C3×C4×C5C2311yescharacteristic
58C22×C3×C4×C5C2311yescharacteristic
59C22×C3×C4×C5C2311yescharacteristic
60C22×C3×C4×C5C2311yescharacteristic
61C22×C3×C4×C5C2311yescharacteristic
62C3×C5×C4⋊C4—24no—
63C3×C5×C4⋊C4—22no—
64C3×C5×C4⋊C4—22no—
65C3×C5×C4⋊C4—22no—
66C3×C5×C4⋊C4—22no—
67C3×C5×C4⋊C4—42no—
68C3×C5×C4⋊C4—42no—
69C3×C5×C4⋊C4—42no—
70C3×C5×C22⋊C4—22no—
71C3×C5×C22⋊C4—42no—
72C3×C5×C22⋊C4—42no—
73C3×C5×C22⋊C4Q814yes—
74C3×C42×C5—22no—
75C3×C42×C5—22no—
76C3×C42×C5—42no—
77C3×#400C2×C512yescomplemented
78C3×#396C2×C512yes—
79C3×#389C2×C511yescharacteristic, complemented
80C3×#389C2×C511yescharacteristic, complemented
81C3×#388C2×C512yes—
82C3×#387C2×C512yescomplemented
83C3×#384C2×C511yescharacteristic, complemented
84C3×#380C2×C511yescharacteristic
85C3×#380C2×C511yescharacteristic
86C3×C4×C4⋊C4C2×C511yescharacteristic, complemented
87C3×C4×C22⋊C4C2×C511yescharacteristic
88C23×C4×C5C22×C311yescharacteristic
89C2×C5×C4⋊C4C22×C311yescharacteristic
90C2×C5×C4⋊C4C22×C311yescharacteristic
91C2×C5×C4⋊C4C22×C311yescharacteristic
92C2×C5×C4⋊C4C22×C311yescharacteristic
93C2×C5×C4⋊C4C22×C312yes—
94C2×C5×C4⋊C4C22×C312yes—
95C2×C5×C4⋊C4C22×C312yes—
96C2×C5×C4⋊C4C22×C312yes—
97C2×C5×C22⋊C4C22×C311yescharacteristic
98C2×C5×C22⋊C4C22×C312yes—
99C2×C5×C22⋊C4C22×C312yes—
100C2×C5×C22⋊C4C22×C311yescharacteristic
101C2×C42×C5C22×C311yescharacteristic
102C2×C42×C5C22×C311yescharacteristic
103C2×C42×C5C22×C312yes—
104C5×#95C22×C311yescharacteristic
105C5×#95C22×C311yescharacteristic
106C5×#95C22×C312yes—
107C5×#95C22×C312yes—
108C5×#95C22×C312yes—
109C5×#95C22×C312yes—
110C5×#95C22×C312yes—
111#2497C3×C511yescharacteristic, direct product factor, Sylow
112C23×C3×C5—21no—
113C23×C3×C5—21no—
114C23×C3×C5—21no—
115C23×C3×C5—21no—
116C23×C3×C5—21no—
117C23×C3×C5—21no—
118C23×C3×C5C2×Q812yes—
119C23×C3×C5C2411yescharacteristic
120C2×C3×C4×C5—21no—
121C2×C3×C4×C5—21no—
122C2×C3×C4×C5—21no—
123C2×C3×C4×C5—21no—
124C2×C3×C4×C5—21no—
125C2×C3×C4×C5—21no—
126C2×C3×C4×C5—21no—
127C2×C3×C4×C5—21no—
128C2×C3×C4×C5—22no—
129C2×C3×C4×C5—22no—
130C2×C3×C4×C5—22no—
131C2×C3×C4×C5—22no—
132C2×C3×C4×C5—22no—
133C2×C3×C4×C5—22no—
134C2×C3×C4×C5—21no—
135C2×C3×C4×C5—21no—
136C2×C3×C4×C5—21no—
137C2×C3×C4×C5—22no—
138C2×C3×C4×C5—22no—
139C2×C3×C4×C5—22no—
140C2×C3×C4×C5—22no—
141C2×C3×C4×C5—22no—
142C2×C3×C4×C5—22no—
143C2×C3×C4×C5—21no—
144C2×C3×C4×C5—44no—
145C2×C3×C4×C5C2×Q812yes—
146C2×C3×C4×C5C2×Q812yes—
147C2×C3×C4×C5#4112yes—
148C2×C3×C4×C5#4112yes—
149C2×C3×C4×C5#4112yes—
150C2×C3×C4×C5#4112yes—
151C23×C3×C4C22×C511yescharacteristic
152C2×C3×C4⋊C4C22×C511yescharacteristic
153C2×C3×C4⋊C4C22×C511yescharacteristic
154C2×C3×C4⋊C4C22×C511yescharacteristic
155C2×C3×C4⋊C4C22×C511yescharacteristic
156C2×C3×C4⋊C4C22×C512yes—
157C2×C3×C4⋊C4C22×C512yes—
158C2×C3×C4⋊C4C22×C512yes—
159C2×C3×C4⋊C4C22×C512yes—
160C2×C3×C22⋊C4C22×C511yescharacteristic
161C2×C3×C22⋊C4C22×C512yes—
162C2×C3×C22⋊C4C22×C512yes—
163C2×C3×C22⋊C4C22×C511yescharacteristic
164C2×C3×C42C22×C511yescharacteristic
165C2×C3×C42C22×C511yescharacteristic
166C2×C3×C42C22×C512yes—
167C3×#95C22×C511yescharacteristic
168C3×#95C22×C511yescharacteristic
169C3×#95C22×C512yes—
170C3×#95C22×C512yes—
171C3×#95C22×C512yes—
172C3×#95C22×C512yes—
173C3×#95C22×C512yes—
174C24×C5C23×C311yescharacteristic
175C22×C4×C5—22no—
176C22×C4×C5—22no—
177C22×C4×C5—22no—
178C22×C4×C5C23×C312yes—
179C22×C4×C5C23×C311yescharacteristic
180C22×C4×C5C23×C312yes—
181C22×C4×C5C23×C312yes—
182C22×C4×C5C23×C312yes—
183C22×C4×C5C23×C311yescharacteristic
184C22×C4×C5C23×C311yescharacteristic
185C22×C4×C5C23×C311yescharacteristic
186C22×C4×C5C23×C311yescharacteristic
187C22×C4×C5C23×C311yescharacteristic
188C5×C4⋊C4—24no—
189C5×C4⋊C4—22no—
190C5×C4⋊C4—22no—
191C5×C4⋊C4—22no—
192C5×C4⋊C4—22no—
193C5×C4⋊C4—42no—
194C5×C4⋊C4—42no—
195C5×C4⋊C4—42no—
196C5×C22⋊C4—22no—
197C5×C22⋊C4—42no—
198C5×C22⋊C4—42no—
199C5×C22⋊C4C3×Q814yes—
200C42×C5—22no—
201C42×C5—22no—
202C42×C5—42no—
203#400C2×C3×C512yescomplemented
204#396C2×C3×C512yes—
205#389C2×C3×C511yescharacteristic, complemented
206#389C2×C3×C511yescharacteristic, complemented
207#388C2×C3×C512yes—
208#387C2×C3×C512yescomplemented
209#384C2×C3×C511yescharacteristic, complemented
210#380C2×C3×C511yescharacteristic
211#380C2×C3×C511yescharacteristic
212C4×C4⋊C4C2×C3×C511yescharacteristic, complemented
213C4×C22⋊C4C2×C3×C511yescharacteristic
214C22×C3×C5—22no—
215C22×C3×C5—22no—
216C22×C3×C5—22no—
217C22×C3×C5—41no—
218C22×C3×C5—41no—
219C22×C3×C5—41no—
220C22×C3×C5—41no—
221C22×C3×C5C22×Q811yescharacteristic
222C22×C3×C5C2×#4111yescharacteristic
223C22×C3×C5C2×#4111yescharacteristic
224C22×C3×C5C2×#4111yescharacteristic
225C22×C3×C5C2×#4111yescharacteristic
226C22×C3×C5H(5,𝔽2)11yescharacteristic
227C22×C3×C5H(5,𝔽2)11yescharacteristic
228C3×C4×C5—22no—
229C3×C4×C5—22no—
230C3×C4×C5—22no—
231C3×C4×C5—41no—
232C3×C4×C5—42no—
233C3×C4×C5—42no—
234C3×C4×C5—42no—
235C3×C4×C5—41no—
236C3×C4×C5—42no—
237C3×C4×C5#12614yes—
238C24×C3C23×C511yescharacteristic
239C22×C3×C4—22no—
240C22×C3×C4—22no—
241C22×C3×C4—22no—
242C22×C3×C4C23×C511yescharacteristic
243C22×C3×C4C23×C511yescharacteristic
244C22×C3×C4C23×C512yes—
245C22×C3×C4C23×C512yes—
246C22×C3×C4C23×C512yes—
247C22×C3×C4C23×C512yes—
248C22×C3×C4C23×C511yescharacteristic
249C22×C3×C4C23×C511yescharacteristic
250C22×C3×C4C23×C511yescharacteristic
251C22×C3×C4C23×C511yescharacteristic
252C3×C4⋊C4—24no—
253C3×C4⋊C4—22no—
254C3×C4⋊C4—22no—
255C3×C4⋊C4—22no—
256C3×C4⋊C4—22no—
257C3×C4⋊C4—42no—
258C3×C4⋊C4—42no—
259C3×C4⋊C4—42no—
260C3×C22⋊C4—22no—
261C3×C22⋊C4—42no—
262C3×C22⋊C4—42no—
263C3×C22⋊C4C5×Q814yes—
264C3×C42—22no—
265C3×C42—22no—
266C3×C42—42no—
267C23×C5—21no—
268C23×C5—21no—
269C23×C5—21no—
270C23×C5—21no—
271C23×C5—21no—
272C23×C5—21no—
273C23×C5C2×C3×Q812yes—
274C23×C5C24×C311yescharacteristic
275C2×C4×C5—21no—
276C2×C4×C5—21no—
277C2×C4×C5—21no—
278C2×C4×C5—21no—
279C2×C4×C5—21no—
280C2×C4×C5—21no—
281C2×C4×C5—21no—
282C2×C4×C5—21no—
283C2×C4×C5—22no—
284C2×C4×C5—22no—
285C2×C4×C5—22no—
286C2×C4×C5—22no—
287C2×C4×C5—22no—
288C2×C4×C5—22no—
289C2×C4×C5—21no—
290C2×C4×C5—21no—
291C2×C4×C5—21no—
292C2×C4×C5—22no—
293C2×C4×C5—22no—
294C2×C4×C5—22no—
295C2×C4×C5—22no—
296C2×C4×C5—22no—
297C2×C4×C5—22no—
298C2×C4×C5—21no—
299C2×C4×C5—44no—
300C2×C4×C5C2×C3×Q812yes—
301C2×C4×C5C2×C3×Q812yes—
302C2×C4×C5C3×#4112yes—
303C2×C4×C5C3×#4112yes—
304C2×C4×C5C3×#4112yes—
305C2×C4×C5C3×#4112yes—
306C23×C4C22×C3×C511yescharacteristic
307C2×C4⋊C4C22×C3×C511yescharacteristic
308C2×C4⋊C4C22×C3×C511yescharacteristic
309C2×C4⋊C4C22×C3×C511yescharacteristic
310C2×C4⋊C4C22×C3×C511yescharacteristic
311C2×C4⋊C4C22×C3×C512yes—
312C2×C4⋊C4C22×C3×C512yes—
313C2×C4⋊C4C22×C3×C512yes—
314C2×C4⋊C4C22×C3×C512yes—
315C2×C22⋊C4C22×C3×C511yescharacteristic
316C2×C22⋊C4C22×C3×C512yes—
317C2×C22⋊C4C22×C3×C512yes—
318C2×C22⋊C4C22×C3×C511yescharacteristic
319C2×C42C22×C3×C511yescharacteristic
320C2×C42C22×C3×C511yescharacteristic
321C2×C42C22×C3×C512yes—
322#95C22×C3×C511yescharacteristic
323#95C22×C3×C511yescharacteristic
324#95C22×C3×C512yes—
325#95C22×C3×C512yes—
326#95C22×C3×C512yes—
327#95C22×C3×C512yes—
328#95C22×C3×C512yes—
329C2×C3×C5—42no—
330C2×C3×C5C2×#12611yescharacteristic
331C2×C3×C5#53311yescharacteristic
332C2×C3×C5#54011yescharacteristic
333C2×C3×C5#55311yescharacteristic
334C2×C3×C5#55411yescharacteristic
335C2×C3×C5#55411yescharacteristic
336C2×C3×C5#55511yescharacteristic
337C23×C3—21no—
338C23×C3—21no—
339C23×C3—21no—
340C23×C3—21no—
341C23×C3—21no—
342C23×C3—21no—
343C23×C3C2×C5×Q812yes—
344C23×C3C24×C511yescharacteristic
345C2×C3×C4—21no—
346C2×C3×C4—21no—
347C2×C3×C4—21no—
348C2×C3×C4—21no—
349C2×C3×C4—21no—
350C2×C3×C4—21no—
351C2×C3×C4—21no—
352C2×C3×C4—21no—
353C2×C3×C4—22no—
354C2×C3×C4—22no—
355C2×C3×C4—22no—
356C2×C3×C4—22no—
357C2×C3×C4—22no—
358C2×C3×C4—22no—
359C2×C3×C4—21no—
360C2×C3×C4—21no—
361C2×C3×C4—21no—
362C2×C3×C4—22no—
363C2×C3×C4—22no—
364C2×C3×C4—22no—
365C2×C3×C4—22no—
366C2×C3×C4—22no—
367C2×C3×C4—22no—
368C2×C3×C4—21no—
369C2×C3×C4—44no—
370C2×C3×C4C2×C5×Q812yes—
371C2×C3×C4C2×C5×Q812yes—
372C2×C3×C4C5×#4112yes—
373C2×C3×C4C5×#4112yes—
374C2×C3×C4C5×#4112yes—
375C2×C3×C4C5×#4112yes—
376C22×C5—22no—
377C22×C5—22no—
378C22×C5—22no—
379C22×C5—41no—
380C22×C5—41no—
381C22×C5—41no—
382C22×C5—41no—
383C22×C5C22×C3×Q811yescharacteristic
384C22×C5C2×C3×#4111yescharacteristic
385C22×C5C2×C3×#4111yescharacteristic
386C22×C5C2×C3×#4111yescharacteristic
387C22×C5C2×C3×#4111yescharacteristic
388C22×C5C3×H(5,𝔽2)11yescharacteristic
389C22×C5C3×H(5,𝔽2)11yescharacteristic
390C4×C5—22no—
391C4×C5—22no—
392C4×C5—22no—
393C4×C5—41no—
394C4×C5—42no—
395C4×C5—42no—
396C4×C5—42no—
397C4×C5—41no—
398C4×C5—42no—
399C4×C5C3×#12614yes—
400C24C23×C3×C511yescharacteristic
401C22×C4—22no—
402C22×C4—22no—
403C22×C4—22no—
404C22×C4C23×C3×C511yescharacteristic
405C22×C4C23×C3×C511yescharacteristic
406C22×C4C23×C3×C512yes—
407C22×C4C23×C3×C512yes—
408C22×C4C23×C3×C512yes—
409C22×C4C23×C3×C512yes—
410C22×C4C23×C3×C511yescharacteristic
411C22×C4C23×C3×C511yescharacteristic
412C22×C4C23×C3×C511yescharacteristic
413C22×C4C23×C3×C511yescharacteristic
414C4⋊C4—24no—
415C4⋊C4—22no—
416C4⋊C4—22no—
417C4⋊C4—22no—
418C4⋊C4—22no—
419C4⋊C4—42no—
420C4⋊C4—42no—
421C4⋊C4—42no—
422C22⋊C4—22no—
423C22⋊C4—42no—
424C22⋊C4—42no—
425C22⋊C4C3×C5×Q814yes—
426C42—22no—
427C42—22no—
428C42—42no—
429C3×C5#249711yescharacteristic, direct product factor, Hall
430C22×C3—22no—
431C22×C3—22no—
432C22×C3—22no—
433C22×C3—41no—
434C22×C3—41no—
435C22×C3—41no—
436C22×C3—41no—
437C22×C3C22×C5×Q811yescharacteristic
438C22×C3C2×C5×#4111yescharacteristic
439C22×C3C2×C5×#4111yescharacteristic
440C22×C3C2×C5×#4111yescharacteristic
441C22×C3C2×C5×#4111yescharacteristic
442C22×C3C5×H(5,𝔽2)11yescharacteristic
443C22×C3C5×H(5,𝔽2)11yescharacteristic
444C3×C4—22no—
445C3×C4—22no—
446C3×C4—22no—
447C3×C4—41no—
448C3×C4—42no—
449C3×C4—42no—
450C3×C4—42no—
451C3×C4—41no—
452C3×C4—42no—
453C3×C4C5×#12614yes—
454C2×C5—42no—
455C2×C5C2×C3×#12611yescharacteristic
456C2×C5C3×#53311yescharacteristic
457C2×C5C3×#54011yescharacteristic
458C2×C5C3×#55311yescharacteristic
459C2×C5C3×#55411yescharacteristic
460C2×C5C3×#55411yescharacteristic
461C2×C5C3×#55511yescharacteristic
462C23—21no—
463C23—21no—
464C23—21no—
465C23—21no—
466C23—21no—
467C23—21no—
468C23C2×C3×C5×Q812yes—
469C23C24×C3×C511yescharacteristic
470C2×C4—21no—
471C2×C4—21no—
472C2×C4—21no—
473C2×C4—21no—
474C2×C4—21no—
475C2×C4—21no—
476C2×C4—21no—
477C2×C4—21no—
478C2×C4—22no—
479C2×C4—22no—
480C2×C4—22no—
481C2×C4—22no—
482C2×C4—22no—
483C2×C4—22no—
484C2×C4—21no—
485C2×C4—21no—
486C2×C4—21no—
487C2×C4—22no—
488C2×C4—22no—
489C2×C4—22no—
490C2×C4—22no—
491C2×C4—22no—
492C2×C4—22no—
493C2×C4—21no—
494C2×C4—44no—
495C2×C4C2×C3×C5×Q812yes—
496C2×C4C2×C3×C5×Q812yes—
497C2×C4C3×C5×#4112yes—
498C2×C4C3×C5×#4112yes—
499C2×C4C3×C5×#4112yes—
500C2×C4C3×C5×#4112yes—
501C2×C3—42no—
502C2×C3C2×C5×#12611yescharacteristic
503C2×C3C5×#53311yescharacteristic
504C2×C3C5×#54011yescharacteristic
505C2×C3C5×#55311yescharacteristic
506C2×C3C5×#55411yescharacteristic
507C2×C3C5×#55411yescharacteristic
508C2×C3C5×#55511yescharacteristic
509C5C3×#249711yescharacteristic, direct product factor, Sylow
510C22—22no—
511C22—22no—
512C22—22no—
513C22—41no—
514C22—41no—
515C22—41no—
516C22—41no—
517C22C22×C3×C5×Q811yescharacteristic
518C22C2×C3×C5×#4111yescharacteristic
519C22C2×C3×C5×#4111yescharacteristic
520C22C2×C3×C5×#4111yescharacteristic
521C22C2×C3×C5×#4111yescharacteristic
522C22C3×C5×H(5,𝔽2)11yescharacteristic
523C22C3×C5×H(5,𝔽2)11yescharacteristic
524C4—22no—
525C4—22no—
526C4—22no—
527C4—41no—
528C4—42no—
529C4—42no—
530C4—42no—
531C4—41no—
532C4—42no—
533C4C3×C5×#12614yes—
534C3C5×#249711yescharacteristic, direct product factor, Sylow
535C2—42no—
536C2C2×C3×C5×#12611yescharacteristic
537C2C3×C5×#53311yescharacteristic
538C2C3×C5×#54011yescharacteristic
539C2C3×C5×#55311yescharacteristic
540C2C3×C5×#55411yescharacteristic
541C2C3×C5×#55411yescharacteristic
542C2C3×C5×#55511yescharacteristic
subgroupG/H
center, socleC23×C3×C5C24
commutator, Frattini, cosocleC23C24×C3×C5
prime radicalC24×C3×C5C23
LCSG ▷ C23 ▷ C1
UCSC1 ◁ C23×C3×C5 ◁ G

Complements

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

NH ≅ G/Ntype
1. C3×C5×#400C2semidirect
3. C3×C5×#389C2semidirect
4. C3×C5×#389C2semidirect
6. C3×C5×#387C2semidirect
7. C3×C5×#384C2semidirect
10. C3×C4×C5×C4⋊C4C2semidirect
12. C5×#2497C3direct (N × H)
36. C3×#2497C5direct (N × H)
37. C5×#400C2×C3semidirect
39. C5×#389C2×C3semidirect
40. C5×#389C2×C3semidirect
42. C5×#387C2×C3semidirect
43. C5×#384C2×C3semidirect
46. C4×C5×C4⋊C4C2×C3semidirect
77. C3×#400C2×C5semidirect
79. C3×#389C2×C5semidirect
80. C3×#389C2×C5semidirect
82. C3×#387C2×C5semidirect
83. C3×#384C2×C5semidirect
86. C3×C4×C4⋊C4C2×C5semidirect
111. #2497C3×C5direct (N × H)
203. #400C2×C3×C5semidirect
205. #389C2×C3×C5semidirect
206. #389C2×C3×C5semidirect
208. #387C2×C3×C5semidirect
209. #384C2×C3×C5semidirect
212. C4×C4⋊C4C2×C3×C5semidirect
429. C3×C5#2497direct (N × H)
509. C5C3×#2497direct (N × H)
534. C3C5×#2497direct (N × H)

Maximal subgroups

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

subgroupindex
C3×C5×#4002
C3×C5×#3962
C3×C5×#3892
C3×C5×#3882
C3×C5×#3872
C3×C5×#3842
C3×C5×#3802
C3×C4×C5×C4⋊C42
C3×C4×C5×C22⋊C42
C5×#24973
C3×#24975