Finite Group Databasebeta

← C3×C5×#3522 #14276556

Subgroups — C3×C5×#3522 #14276556

Order 1920.

2208 conjugacy classes of subgroups.

The subgroup lattice has 516 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C5×#559C213yesmaximal, complemented
2C3×C5×Q82C211yesmaximal, characteristic, complemented
3C3×C5×#554C213yesmaximal, complemented
4C3×C5×#550C211yesmaximal, characteristic, complemented
5C3×C5×#548C212yesmaximal, complemented
6C3×C5×#547C216yesmaximal, complemented
7C3×C5×#542C216yesmaximal, complemented
8C3×C5×#532C213yesmaximal, complemented
9C3×C5×#529C213yesmaximal, complemented
10C3×C5×#520C212yesmaximal, complemented
11C2×C3×C4×C5×Q8C211yesmaximal, characteristic, complemented
12C5×#3522C311yesmaximal, characteristic, direct product factor, Hall
13C2×C3×C5×#41C2212yes—
14C2×C3×C5×#41C2216yes—
15C22×C3×C5×Q8C2211yescharacteristic
16C3×C5×C4⋊Q8C2213yes—
17C3×C5×C4⋊Q8C2216yes—
18C3×C5×#127C2213yes—
19C3×C5×#126C2216yes—
20C3×C5×#125C2213yes—
21C3×C5×#124C2213yes—
22C3×C5×#124C2216yes—
23C3×C5×#124C2216yes—
24C3×C5×#123C2216yes—
25C3×C5×#123C22112yes—
26C3×C5×C22⋊Q8C2211yescharacteristic
27C3×C5×C22⋊Q8C22112yes—
28C3×C5×C22⋊Q8C2216yes—
29C3×C5×#121C2213yes—
30C3×C5×#121C2216yes—
31C3×C5×#121C2216yes—
32C3×C4×C5×Q8C2211yescharacteristic
33C3×C4×C5×Q8C2213yes—
34C3×C4×C5×Q8C2211yescharacteristic
35C3×C4×C5×Q8C2213yes—
36C3×C4×C5×Q8C2212yes—
37C3×C4×C5×Q8C2213yes—
38C3×C4×C5×D4C2216yes—
39C3×C4×C5×D4C2216yes—
40C3×C4×C5×D4C2216yes—
41C3×C4×C5×D4C2213yes—
42C3×C4×C5×D4C2216yes—
43C3×C5×#117C2216yes—
44C2×C3×C5×C4⋊C4C2213yes—
45C2×C3×C5×C4⋊C4C2216yes—
46C2×C3×C42×C5C2213yes—
47C3×#3522C511yesmaximal, characteristic, direct product factor, Hall
48C5×#559C2×C313yescomplemented
49C5×Q82C2×C311yescharacteristic, complemented
50C5×#554C2×C313yescomplemented
51C5×#550C2×C311yescharacteristic, complemented
52C5×#548C2×C312yescomplemented
53C5×#547C2×C316yescomplemented
54C5×#542C2×C316yescomplemented
55C5×#532C2×C313yescomplemented
56C5×#529C2×C313yescomplemented
57C5×#520C2×C312yescomplemented
58C2×C4×C5×Q8C2×C311yescharacteristic, complemented
59C3×C5×#41—28no—
60C3×C5×#41—412no—
61C2×C3×C5×Q8—24no—
62C2×C3×C5×Q8C2311yescharacteristic
63C2×C3×C5×Q8C2313yes—
64C2×C3×C5×Q8C2316yes—
65C2×C3×C5×Q8C2311yescharacteristic
66C2×C3×C5×D4C2313yes—
67C2×C3×C5×D4C2316yes—
68C2×C3×C5×D4C2316yes—
69C2×C3×C5×D4C2316yes—
70C22×C3×C4×C5C2311yescharacteristic
71C22×C3×C4×C5C2313yes—
72C22×C3×C4×C5C2313yes—
73C22×C3×C4×C5C2316yes—
74C22×C3×C4×C5C23112yes—
75C3×C5×C4⋊C4C2313yes—
76C3×C5×C4⋊C4C2316yes—
77C3×C5×C4⋊C4C2316yes—
78C3×C5×C4⋊C4C2313yes—
79C3×C5×C4⋊C4C2316yes—
80C3×C5×C4⋊C4C2312yes—
81C3×C5×C4⋊C4C2311yescharacteristic
82C3×C5×C4⋊C4C2313yes—
83C3×C5×C4⋊C4C2316yes—
84C3×C5×C4⋊C4C2316yes—
85C3×C5×C22⋊C4C2316yes—
86C3×C5×C22⋊C4C2316yes—
87C3×C5×C22⋊C4C2312yes—
88C3×C5×C22⋊C4C2316yes—
89C3×C5×C22⋊C4C23112yes—
90C3×C5×C22⋊C4C2316yes—
91C3×C42×C5C2313yes—
92C3×C42×C5C2313yes—
93C3×C42×C5C2313yes—
94C3×C42×C5C2313yes—
95C3×C42×C5C2316yes—
96C3×#559C2×C513yescomplemented
97C3×Q82C2×C511yescharacteristic, complemented
98C3×#554C2×C513yescomplemented
99C3×#550C2×C511yescharacteristic, complemented
100C3×#548C2×C512yescomplemented
101C3×#547C2×C516yescomplemented
102C3×#542C2×C516yescomplemented
103C3×#532C2×C513yescomplemented
104C3×#529C2×C513yescomplemented
105C3×#520C2×C512yescomplemented
106C2×C3×C4×Q8C2×C511yescharacteristic, complemented
107C2×C5×#41C22×C312yes—
108C2×C5×#41C22×C316yes—
109C22×C5×Q8C22×C311yescharacteristic
110C5×C4⋊Q8C22×C313yes—
111C5×C4⋊Q8C22×C316yes—
112C5×#127C22×C313yes—
113C5×#126C22×C316yes—
114C5×#125C22×C313yes—
115C5×#124C22×C313yes—
116C5×#124C22×C316yes—
117C5×#124C22×C316yes—
118C5×#123C22×C316yes—
119C5×#123C22×C3112yes—
120C5×C22⋊Q8C22×C311yescharacteristic
121C5×C22⋊Q8C22×C3112yes—
122C5×C22⋊Q8C22×C316yes—
123C5×#121C22×C313yes—
124C5×#121C22×C316yes—
125C5×#121C22×C316yes—
126C4×C5×Q8C22×C311yescharacteristic
127C4×C5×Q8C22×C313yes—
128C4×C5×Q8C22×C311yescharacteristic
129C4×C5×Q8C22×C313yes—
130C4×C5×Q8C22×C312yes—
131C4×C5×Q8C22×C313yes—
132C4×C5×D4C22×C316yes—
133C4×C5×D4C22×C316yes—
134C4×C5×D4C22×C316yes—
135C4×C5×D4C22×C313yes—
136C4×C5×D4C22×C316yes—
137C5×#117C22×C316yes—
138C2×C5×C4⋊C4C22×C313yes—
139C2×C5×C4⋊C4C22×C316yes—
140C2×C42×C5C22×C313yes—
141#3522C3×C511yescharacteristic, direct product factor, Sylow
142C23×C3×C5C2416yes—
143C23×C3×C5C2411yescharacteristic
144C3×C5×Q8—26no—
145C3×C5×Q8—22no—
146C3×C5×Q8—46no—
147C3×C5×Q8#4114yescomplemented
148C3×C5×D4—212no—
149C3×C5×D4—212no—
150C3×C5×D4—26no—
151C3×C5×D4—46no—
152C2×C3×C4×C5—26no—
153C2×C3×C4×C5—26no—
154C2×C3×C4×C5—212no—
155C2×C3×C4×C5—22no—
156C2×C3×C4×C5—412no—
157C2×C3×C4×C5C2411yescharacteristic
158C2×C3×C4×C5C2412yes—
159C2×C3×C4×C5C2413yes—
160C2×C3×C4×C5C2413yes—
161C2×C3×C4×C5C2413yes—
162C2×C3×C4×C5C2416yes—
163C2×C3×C4×C5C2412yes—
164C2×C3×C4×C5C2413yes—
165C2×C3×C4×C5C2411yescharacteristic
166C2×C3×#41C22×C512yes—
167C2×C3×#41C22×C516yes—
168C22×C3×Q8C22×C511yescharacteristic
169C3×C4⋊Q8C22×C513yes—
170C3×C4⋊Q8C22×C516yes—
171C3×#127C22×C513yes—
172C3×#126C22×C516yes—
173C3×#125C22×C513yes—
174C3×#124C22×C513yes—
175C3×#124C22×C516yes—
176C3×#124C22×C516yes—
177C3×#123C22×C5112yes—
178C3×#123C22×C516yes—
179C3×C22⋊Q8C22×C511yescharacteristic
180C3×C22⋊Q8C22×C5112yes—
181C3×C22⋊Q8C22×C516yes—
182C3×#121C22×C513yes—
183C3×#121C22×C516yes—
184C3×#121C22×C516yes—
185C3×C4×Q8C22×C513yes—
186C3×C4×Q8C22×C511yescharacteristic
187C3×C4×Q8C22×C512yes—
188C3×C4×Q8C22×C513yes—
189C3×C4×Q8C22×C511yescharacteristic
190C3×C4×Q8C22×C513yes—
191C3×C4×D4C22×C516yes—
192C3×C4×D4C22×C516yes—
193C3×C4×D4C22×C516yes—
194C3×C4×D4C22×C516yes—
195C3×C4×D4C22×C513yes—
196C3×#117C22×C516yes—
197C2×C3×C4⋊C4C22×C513yes—
198C2×C3×C4⋊C4C22×C516yes—
199C2×C3×C42C22×C513yes—
200C5×#41—28no—
201C5×#41—412no—
202C2×C5×Q8—24no—
203C2×C5×Q8C23×C311yescharacteristic
204C2×C5×Q8C23×C313yes—
205C2×C5×Q8C23×C316yes—
206C2×C5×Q8C23×C311yescharacteristic
207C2×C5×D4C23×C313yes—
208C2×C5×D4C23×C316yes—
209C2×C5×D4C23×C316yes—
210C2×C5×D4C23×C316yes—
211C22×C4×C5C23×C311yescharacteristic
212C22×C4×C5C23×C313yes—
213C22×C4×C5C23×C313yes—
214C22×C4×C5C23×C316yes—
215C22×C4×C5C23×C3112yes—
216C5×C4⋊C4C23×C313yes—
217C5×C4⋊C4C23×C316yes—
218C5×C4⋊C4C23×C316yes—
219C5×C4⋊C4C23×C313yes—
220C5×C4⋊C4C23×C316yes—
221C5×C4⋊C4C23×C312yes—
222C5×C4⋊C4C23×C311yescharacteristic
223C5×C4⋊C4C23×C313yes—
224C5×C4⋊C4C23×C316yes—
225C5×C4⋊C4C23×C316yes—
226C5×C22⋊C4C23×C316yes—
227C5×C22⋊C4C23×C316yes—
228C5×C22⋊C4C23×C312yes—
229C5×C22⋊C4C23×C316yes—
230C5×C22⋊C4C23×C3112yes—
231C5×C22⋊C4C23×C316yes—
232C42×C5C23×C313yes—
233C42×C5C23×C313yes—
234C42×C5C23×C313yes—
235C42×C5C23×C313yes—
236C42×C5C23×C316yes—
237#559C2×C3×C513yescomplemented
238Q82C2×C3×C511yescharacteristic, complemented
239#554C2×C3×C513yescomplemented
240#550C2×C3×C511yescharacteristic, complemented
241#548C2×C3×C512yescomplemented
242#547C2×C3×C516yescomplemented
243#542C2×C3×C516yescomplemented
244#532C2×C3×C513yescomplemented
245#529C2×C3×C513yescomplemented
246#520C2×C3×C512yescomplemented
247C2×C4×Q8C2×C3×C511yescharacteristic, complemented
248C22×C3×C5—21no—
249C22×C3×C5—21no—
250C22×C3×C5—26no—
251C22×C3×C5—26no—
252C22×C3×C5—26no—
253C22×C3×C5H(5,𝔽2)12yes—
254C22×C3×C5C2511yescharacteristic
255C3×C4×C5—22no—
256C3×C4×C5—23no—
257C3×C4×C5—23no—
258C3×C4×C5—23no—
259C3×C4×C5—26no—
260C3×C4×C5—21no—
261C3×C4×C5—22no—
262C3×C4×C5C2×#4116yes—
263C3×C4×C52−1+412yes—
264C3×#41—28no—
265C3×#41—412no—
266C2×C3×Q8—24no—
267C2×C3×Q8C23×C511yescharacteristic
268C2×C3×Q8C23×C513yes—
269C2×C3×Q8C23×C516yes—
270C2×C3×Q8C23×C511yescharacteristic
271C2×C3×D4C23×C513yes—
272C2×C3×D4C23×C516yes—
273C2×C3×D4C23×C516yes—
274C2×C3×D4C23×C516yes—
275C22×C3×C4C23×C511yescharacteristic
276C22×C3×C4C23×C513yes—
277C22×C3×C4C23×C513yes—
278C22×C3×C4C23×C516yes—
279C22×C3×C4C23×C5112yes—
280C3×C4⋊C4C23×C513yes—
281C3×C4⋊C4C23×C516yes—
282C3×C4⋊C4C23×C516yes—
283C3×C4⋊C4C23×C513yes—
284C3×C4⋊C4C23×C516yes—
285C3×C4⋊C4C23×C512yes—
286C3×C4⋊C4C23×C511yescharacteristic
287C3×C4⋊C4C23×C513yes—
288C3×C4⋊C4C23×C516yes—
289C3×C4⋊C4C23×C516yes—
290C3×C22⋊C4C23×C516yes—
291C3×C22⋊C4C23×C516yes—
292C3×C22⋊C4C23×C512yes—
293C3×C22⋊C4C23×C516yes—
294C3×C22⋊C4C23×C5112yes—
295C3×C22⋊C4C23×C516yes—
296C3×C42C23×C513yes—
297C3×C42C23×C513yes—
298C3×C42C23×C513yes—
299C3×C42C23×C513yes—
300C3×C42C23×C516yes—
301C23×C5C24×C316yes—
302C23×C5C24×C311yescharacteristic
303C5×Q8—26no—
304C5×Q8—22no—
305C5×Q8—46no—
306C5×Q8C3×#4114yescomplemented
307C5×D4—212no—
308C5×D4—212no—
309C5×D4—26no—
310C5×D4—46no—
311C2×C4×C5—26no—
312C2×C4×C5—26no—
313C2×C4×C5—212no—
314C2×C4×C5—22no—
315C2×C4×C5—412no—
316C2×C4×C5C24×C311yescharacteristic
317C2×C4×C5C24×C312yes—
318C2×C4×C5C24×C313yes—
319C2×C4×C5C24×C313yes—
320C2×C4×C5C24×C313yes—
321C2×C4×C5C24×C316yes—
322C2×C4×C5C24×C312yes—
323C2×C4×C5C24×C313yes—
324C2×C4×C5C24×C311yescharacteristic
325C2×#41C22×C3×C512yes—
326C2×#41C22×C3×C516yes—
327C22×Q8C22×C3×C511yescharacteristic
328C4⋊Q8C22×C3×C513yes—
329C4⋊Q8C22×C3×C516yes—
330#127C22×C3×C513yes—
331#126C22×C3×C516yes—
332#125C22×C3×C513yes—
333#124C22×C3×C513yes—
334#124C22×C3×C516yes—
335#124C22×C3×C516yes—
336#123C22×C3×C516yes—
337#123C22×C3×C5112yes—
338C22⋊Q8C22×C3×C511yescharacteristic
339C22⋊Q8C22×C3×C5112yes—
340C22⋊Q8C22×C3×C516yes—
341#121C22×C3×C513yes—
342#121C22×C3×C516yes—
343#121C22×C3×C516yes—
344C4×Q8C22×C3×C511yescharacteristic
345C4×Q8C22×C3×C513yes—
346C4×Q8C22×C3×C511yescharacteristic
347C4×Q8C22×C3×C513yes—
348C4×Q8C22×C3×C512yes—
349C4×Q8C22×C3×C513yes—
350C4×D4C22×C3×C516yes—
351C4×D4C22×C3×C516yes—
352C4×D4C22×C3×C516yes—
353C4×D4C22×C3×C513yes—
354C4×D4C22×C3×C516yes—
355#117C22×C3×C516yes—
356C2×C4⋊C4C22×C3×C513yes—
357C2×C4⋊C4C22×C3×C516yes—
358C2×C42C22×C3×C513yes—
359C2×C3×C5—22no—
360C2×C3×C5—46no—
361C2×C3×C5C22×#4111yescharacteristic
362C2×C3×C5C2×H(5,𝔽2)11yescharacteristic
363C2×C3×C5C2×2−1+411yescharacteristic
364C23×C3C24×C516yes—
365C23×C3C24×C511yescharacteristic
366C3×Q8—26no—
367C3×Q8—22no—
368C3×Q8—46no—
369C3×Q8C5×#4114yescomplemented
370C3×D4—212no—
371C3×D4—212no—
372C3×D4—26no—
373C3×D4—46no—
374C2×C3×C4—26no—
375C2×C3×C4—26no—
376C2×C3×C4—212no—
377C2×C3×C4—22no—
378C2×C3×C4—412no—
379C2×C3×C4C24×C511yescharacteristic
380C2×C3×C4C24×C512yes—
381C2×C3×C4C24×C513yes—
382C2×C3×C4C24×C513yes—
383C2×C3×C4C24×C513yes—
384C2×C3×C4C24×C516yes—
385C2×C3×C4C24×C512yes—
386C2×C3×C4C24×C513yes—
387C2×C3×C4C24×C511yescharacteristic
388C22×C5—21no—
389C22×C5—21no—
390C22×C5—26no—
391C22×C5—26no—
392C22×C5—26no—
393C22×C5C3×H(5,𝔽2)12yes—
394C22×C5C25×C311yescharacteristic
395C4×C5—22no—
396C4×C5—23no—
397C4×C5—23no—
398C4×C5—23no—
399C4×C5—26no—
400C4×C5—21no—
401C4×C5—22no—
402C4×C5C2×C3×#4116yes—
403C4×C5C3×2−1+412yes—
404#41—28no—
405#41—412no—
406C2×Q8—24no—
407C2×Q8C23×C3×C511yescharacteristic
408C2×Q8C23×C3×C513yes—
409C2×Q8C23×C3×C516yes—
410C2×Q8C23×C3×C511yescharacteristic
411C2×D4C23×C3×C513yes—
412C2×D4C23×C3×C516yes—
413C2×D4C23×C3×C516yes—
414C2×D4C23×C3×C516yes—
415C22×C4C23×C3×C511yescharacteristic
416C22×C4C23×C3×C513yes—
417C22×C4C23×C3×C513yes—
418C22×C4C23×C3×C516yes—
419C22×C4C23×C3×C5112yes—
420C4⋊C4C23×C3×C513yes—
421C4⋊C4C23×C3×C516yes—
422C4⋊C4C23×C3×C516yes—
423C4⋊C4C23×C3×C513yes—
424C4⋊C4C23×C3×C516yes—
425C4⋊C4C23×C3×C512yes—
426C4⋊C4C23×C3×C511yescharacteristic
427C4⋊C4C23×C3×C513yes—
428C4⋊C4C23×C3×C516yes—
429C4⋊C4C23×C3×C516yes—
430C22⋊C4C23×C3×C516yes—
431C22⋊C4C23×C3×C516yes—
432C22⋊C4C23×C3×C512yes—
433C22⋊C4C23×C3×C516yes—
434C22⋊C4C23×C3×C5112yes—
435C22⋊C4C23×C3×C516yes—
436C42C23×C3×C513yes—
437C42C23×C3×C513yes—
438C42C23×C3×C513yes—
439C42C23×C3×C513yes—
440C42C23×C3×C516yes—
441C3×C5#352211yescharacteristic, direct product factor, Hall
442C22×C3—21no—
443C22×C3—21no—
444C22×C3—26no—
445C22×C3—26no—
446C22×C3—26no—
447C22×C3C5×H(5,𝔽2)12yes—
448C22×C3C25×C511yescharacteristic
449C3×C4—22no—
450C3×C4—23no—
451C3×C4—23no—
452C3×C4—23no—
453C3×C4—26no—
454C3×C4—21no—
455C3×C4—22no—
456C3×C4C2×C5×#4116yes—
457C3×C4C5×2−1+412yes—
458C2×C5—22no—
459C2×C5—46no—
460C2×C5C22×C3×#4111yescharacteristic
461C2×C5C2×C3×H(5,𝔽2)11yescharacteristic
462C2×C5C2×C3×2−1+411yescharacteristic
463C23C24×C3×C516yes—
464C23C24×C3×C511yescharacteristic
465Q8—26no—
466Q8—22no—
467Q8—46no—
468Q8C3×C5×#4114yescomplemented
469D4—212no—
470D4—212no—
471D4—26no—
472D4—46no—
473C2×C4—26no—
474C2×C4—26no—
475C2×C4—212no—
476C2×C4—22no—
477C2×C4—412no—
478C2×C4C24×C3×C511yescharacteristic
479C2×C4C24×C3×C512yes—
480C2×C4C24×C3×C513yes—
481C2×C4C24×C3×C513yes—
482C2×C4C24×C3×C513yes—
483C2×C4C24×C3×C516yes—
484C2×C4C24×C3×C512yes—
485C2×C4C24×C3×C513yes—
486C2×C4C24×C3×C511yescharacteristic
487C2×C3—22no—
488C2×C3—46no—
489C2×C3C22×C5×#4111yescharacteristic
490C2×C3C2×C5×H(5,𝔽2)11yescharacteristic
491C2×C3C2×C5×2−1+411yescharacteristic
492C5C3×#352211yescharacteristic, direct product factor, Sylow
493C22—21no—
494C22—21no—
495C22—26no—
496C22—26no—
497C22—26no—
498C22C3×C5×H(5,𝔽2)12yes—
499C22C25×C3×C511yescharacteristic
500C4—22no—
501C4—23no—
502C4—23no—
503C4—23no—
504C4—26no—
505C4—21no—
506C4—22no—
507C4C2×C3×C5×#4116yes—
508C4C3×C5×2−1+412yes—
509C3C5×#352211yescharacteristic, direct product factor, Sylow
510C2—22no—
511C2—46no—
512C2C22×C3×C5×#4111yescharacteristic
513C2C2×C3×C5×H(5,𝔽2)11yescharacteristic
514C2C2×C3×C5×2−1+411yescharacteristic
subgroupG/H
center, socleC22×C3×C5C25
commutator, Frattini, cosocleC22C25×C3×C5
LCSG ▷ C22 ▷ C1
UCSC1 ◁ C22×C3×C5 ◁ G

Complements

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

NH ≅ G/Ntype
1. C3×C5×#559C2semidirect
2. C3×C5×Q82C2semidirect
3. C3×C5×#554C2semidirect
4. C3×C5×#550C2semidirect
5. C3×C5×#548C2semidirect
6. C3×C5×#547C2semidirect
7. C3×C5×#542C2semidirect
8. C3×C5×#532C2semidirect
9. C3×C5×#529C2semidirect
10. C3×C5×#520C2semidirect
11. C2×C3×C4×C5×Q8C2semidirect
12. C5×#3522C3direct (N × H)
47. C3×#3522C5direct (N × H)
48. C5×#559C2×C3semidirect
49. C5×Q82C2×C3semidirect
50. C5×#554C2×C3semidirect
51. C5×#550C2×C3semidirect
52. C5×#548C2×C3semidirect
53. C5×#547C2×C3semidirect
54. C5×#542C2×C3semidirect
55. C5×#532C2×C3semidirect
56. C5×#529C2×C3semidirect
57. C5×#520C2×C3semidirect
58. C2×C4×C5×Q8C2×C3semidirect
96. C3×#559C2×C5semidirect
97. C3×Q82C2×C5semidirect
98. C3×#554C2×C5semidirect
99. C3×#550C2×C5semidirect
100. C3×#548C2×C5semidirect
101. C3×#547C2×C5semidirect
102. C3×#542C2×C5semidirect
103. C3×#532C2×C5semidirect
104. C3×#529C2×C5semidirect
105. C3×#520C2×C5semidirect
106. C2×C3×C4×Q8C2×C5semidirect
141. #3522C3×C5direct (N × H)
147. C3×C5×Q8#41semidirect
237. #559C2×C3×C5semidirect
238. Q82C2×C3×C5semidirect
239. #554C2×C3×C5semidirect
240. #550C2×C3×C5semidirect
241. #548C2×C3×C5semidirect
242. #547C2×C3×C5semidirect
243. #542C2×C3×C5semidirect
244. #532C2×C3×C5semidirect
245. #529C2×C3×C5semidirect
246. #520C2×C3×C5semidirect
247. C2×C4×Q8C2×C3×C5semidirect
306. C5×Q8C3×#41semidirect
369. C3×Q8C5×#41semidirect
441. C3×C5#3522direct (N × H)
468. Q8C3×C5×#41semidirect
492. C5C3×#3522direct (N × H)
509. C3C5×#3522direct (N × H)

Maximal subgroups

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

subgroupindex
C3×C5×#5592
C3×C5×Q822
C3×C5×#5542
C3×C5×#5502
C3×C5×#5482
C3×C5×#5472
C3×C5×#5422
C3×C5×#5322
C3×C5×#5292
C3×C5×#5202
C2×C3×C4×C5×Q82
C5×#35223
C3×#35225