Finite Group Databasebeta

← C3×C5×#3544 #14276578

Subgroups — C3×C5×#3544 #14276578

Order 1920.

2008 conjugacy classes of subgroups.

The subgroup lattice has 536 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C3×C5×#563C214yesmaximal, complemented
2C3×C5×Q82C211yesmaximal, characteristic, complemented
3C3×C5×#555C211yesmaximal, characteristic, complemented
4C3×C5×#554C212yesmaximal, complemented
5C3×C5×#552C214yesmaximal, complemented
6C3×C5×#547C214yesmaximal, complemented
7C3×C5×#544C214yesmaximal, complemented
8C3×C5×#542C214yesmaximal, complemented
9C3×C5×#536C214yesmaximal, complemented
10C2×C3×C5×C4⋊Q8C211yesmaximal, characteristic, complemented
11C3×C5×#529C212yesmaximal, complemented
12C5×#3544C311yesmaximal, characteristic, direct product factor, Hall
13C2×C3×C5×#41C2214yes—
14C22×C3×C5×Q8C2212yes—
15C3×C5×C4⋊Q8C2214yes—
16C3×C5×C4⋊Q8C2211yescharacteristic
17C3×C5×C4⋊Q8C2211yescharacteristic
18C3×C5×C4⋊Q8C2212yes—
19C3×C5×C4⋊Q8C2214yes—
20C3×C5×C4⋊Q8C2214yes—
21C3×C5×C4⋊Q8C2214yes—
22C3×C5×#126C2214yes—
23C3×C5×#126C2218yes—
24C3×C5×#125C2212yes—
25C3×C5×#125C2214yes—
26C3×C5×#125C2218yes—
27C3×C5×#124C2212yes—
28C3×C5×#124C2214yes—
29C3×C5×#124C2214yes—
30C3×C5×#123C2214yes—
31C3×C5×#123C2218yes—
32C3×C5×#123C2218yes—
33C3×C5×C22⋊Q8C2212yes—
34C3×C5×C22⋊Q8C2218yes—
35C3×C5×C22⋊Q8C2218yes—
36C3×C5×C22⋊Q8C2214yes—
37C3×C5×C22⋊Q8C2218yes—
38C3×C5×#121C2212yes—
39C3×C5×#121C2214yes—
40C3×C4×C5×Q8C2212yes—
41C3×C4×C5×Q8C2214yes—
42C3×C4×C5×D4C2214yes—
43C3×C4×C5×D4C2212yes—
44C3×C4×C5×D4C2214yes—
45C3×C5×#117C2214yes—
46C3×C5×#117C2214yes—
47C3×C5×#117C2214yes—
48C2×C3×C5×C4⋊C4C2214yes—
49C2×C3×C5×C4⋊C4C2214yes—
50C2×C3×C42×C5C2211yescharacteristic
51C3×#3544C511yesmaximal, characteristic, direct product factor, Hall
52C5×#563C2×C314yescomplemented
53C5×Q82C2×C311yescharacteristic, complemented
54C5×#555C2×C311yescharacteristic, complemented
55C5×#554C2×C312yescomplemented
56C5×#552C2×C314yescomplemented
57C5×#547C2×C314yescomplemented
58C5×#544C2×C314yescomplemented
59C5×#542C2×C314yescomplemented
60C5×#536C2×C314yescomplemented
61C2×C5×C4⋊Q8C2×C311yescharacteristic, complemented
62C5×#529C2×C312yescomplemented
63C3×C5×#41—48no—
64C2×C3×C5×Q8—44no—
65C2×C3×C5×Q8C2312yes—
66C2×C3×C5×Q8C2312yes—
67C2×C3×C5×Q8C2314yes—
68C2×C3×C5×Q8C2312yes—
69C2×C3×C5×Q8C2314yes—
70C2×C3×C5×D4C2312yes—
71C2×C3×C5×D4C2314yes—
72C2×C3×C5×D4C2314yes—
73C22×C3×C4×C5C2312yes—
74C22×C3×C4×C5C2311yescharacteristic
75C22×C3×C4×C5C2314yes—
76C22×C3×C4×C5C2314yes—
77C22×C3×C4×C5C2318yes—
78C3×C5×C4⋊C4C2314yes—
79C3×C5×C4⋊C4C2312yes—
80C3×C5×C4⋊C4C2314yes—
81C3×C5×C4⋊C4C2318yes—
82C3×C5×C4⋊C4C2318yes—
83C3×C5×C4⋊C4C2312yes—
84C3×C5×C4⋊C4C2318yes—
85C3×C5×C4⋊C4C2314yes—
86C3×C5×C4⋊C4C2314yes—
87C3×C5×C4⋊C4C2314yes—
88C3×C5×C4⋊C4C2314yes—
89C3×C5×C4⋊C4C2318yes—
90C3×C5×C22⋊C4C2314yes—
91C3×C5×C22⋊C4C2314yes—
92C3×C5×C22⋊C4C2318yes—
93C3×C5×C22⋊C4C2314yes—
94C3×C5×C22⋊C4C2318yes—
95C3×C5×C22⋊C4C2314yes—
96C3×C5×C22⋊C4C2314yes—
97C3×C42×C5C2312yes—
98C3×C42×C5C2311yescharacteristic
99C3×C42×C5C2311yescharacteristic
100C3×C42×C5C2314yes—
101C3×C42×C5C2314yes—
102C3×C42×C5C2314yes—
103C3×#563C2×C514yescomplemented
104C3×Q82C2×C511yescharacteristic, complemented
105C3×#555C2×C511yescharacteristic, complemented
106C3×#554C2×C512yescomplemented
107C3×#552C2×C514yescomplemented
108C3×#547C2×C514yescomplemented
109C3×#544C2×C514yescomplemented
110C3×#542C2×C514yescomplemented
111C3×#536C2×C514yescomplemented
112C2×C3×C4⋊Q8C2×C511yescharacteristic, complemented
113C3×#529C2×C512yescomplemented
114C2×C5×#41C22×C314yes—
115C22×C5×Q8C22×C312yes—
116C5×C4⋊Q8C22×C314yes—
117C5×C4⋊Q8C22×C311yescharacteristic
118C5×C4⋊Q8C22×C311yescharacteristic
119C5×C4⋊Q8C22×C312yes—
120C5×C4⋊Q8C22×C314yes—
121C5×C4⋊Q8C22×C314yes—
122C5×C4⋊Q8C22×C314yes—
123C5×#126C22×C314yes—
124C5×#126C22×C318yes—
125C5×#125C22×C312yes—
126C5×#125C22×C314yes—
127C5×#125C22×C318yes—
128C5×#124C22×C312yes—
129C5×#124C22×C314yes—
130C5×#124C22×C314yes—
131C5×#123C22×C314yes—
132C5×#123C22×C318yes—
133C5×#123C22×C318yes—
134C5×C22⋊Q8C22×C312yes—
135C5×C22⋊Q8C22×C318yes—
136C5×C22⋊Q8C22×C318yes—
137C5×C22⋊Q8C22×C314yes—
138C5×C22⋊Q8C22×C318yes—
139C5×#121C22×C312yes—
140C5×#121C22×C314yes—
141C4×C5×Q8C22×C312yes—
142C4×C5×Q8C22×C314yes—
143C4×C5×D4C22×C314yes—
144C4×C5×D4C22×C312yes—
145C4×C5×D4C22×C314yes—
146C5×#117C22×C314yes—
147C5×#117C22×C314yes—
148C5×#117C22×C314yes—
149C2×C5×C4⋊C4C22×C314yes—
150C2×C5×C4⋊C4C22×C314yes—
151C2×C42×C5C22×C311yescharacteristic
152#3544C3×C511yescharacteristic, direct product factor, Sylow
153C23×C3×C5C2414yes—
154C23×C3×C5C2411yescharacteristic
155C3×C5×Q8—24no—
156C3×C5×Q8—42no—
157C3×C5×Q8—44no—
158C3×C5×Q8—42no—
159C3×C5×Q8—44no—
160C3×C5×D4—28no—
161C3×C5×D4—24no—
162C3×C5×D4—44no—
163C2×C3×C4×C5—22no—
164C2×C3×C4×C5—28no—
165C2×C3×C4×C5—24no—
166C2×C3×C4×C5—28no—
167C2×C3×C4×C5—48no—
168C2×C3×C4×C5C2414yes—
169C2×C3×C4×C5C2412yes—
170C2×C3×C4×C5C2414yes—
171C2×C3×C4×C5C2411yescharacteristic
172C2×C3×C4×C5C2411yescharacteristic
173C2×C3×C4×C5C2414yes—
174C2×C3×C4×C5C2414yes—
175C2×C3×C4×C5C2414yes—
176C2×C3×C4×C5C2412yes—
177C2×C3×#41C22×C514yes—
178C22×C3×Q8C22×C512yes—
179C3×C4⋊Q8C22×C514yes—
180C3×C4⋊Q8C22×C511yescharacteristic
181C3×C4⋊Q8C22×C514yes—
182C3×C4⋊Q8C22×C512yes—
183C3×C4⋊Q8C22×C514yes—
184C3×C4⋊Q8C22×C511yescharacteristic
185C3×C4⋊Q8C22×C514yes—
186C3×#126C22×C514yes—
187C3×#126C22×C518yes—
188C3×#125C22×C518yes—
189C3×#125C22×C512yes—
190C3×#125C22×C514yes—
191C3×#124C22×C514yes—
192C3×#124C22×C512yes—
193C3×#124C22×C514yes—
194C3×#123C22×C518yes—
195C3×#123C22×C514yes—
196C3×#123C22×C518yes—
197C3×C22⋊Q8C22×C518yes—
198C3×C22⋊Q8C22×C518yes—
199C3×C22⋊Q8C22×C512yes—
200C3×C22⋊Q8C22×C518yes—
201C3×C22⋊Q8C22×C514yes—
202C3×#121C22×C512yes—
203C3×#121C22×C514yes—
204C3×C4×Q8C22×C512yes—
205C3×C4×Q8C22×C514yes—
206C3×C4×D4C22×C514yes—
207C3×C4×D4C22×C512yes—
208C3×C4×D4C22×C514yes—
209C3×#117C22×C514yes—
210C3×#117C22×C514yes—
211C3×#117C22×C514yes—
212C2×C3×C4⋊C4C22×C514yes—
213C2×C3×C4⋊C4C22×C514yes—
214C2×C3×C42C22×C511yescharacteristic
215C5×#41—48no—
216C2×C5×Q8—44no—
217C2×C5×Q8C23×C312yes—
218C2×C5×Q8C23×C312yes—
219C2×C5×Q8C23×C314yes—
220C2×C5×Q8C23×C314yes—
221C2×C5×Q8C23×C312yes—
222C2×C5×D4C23×C312yes—
223C2×C5×D4C23×C314yes—
224C2×C5×D4C23×C314yes—
225C22×C4×C5C23×C312yes—
226C22×C4×C5C23×C311yescharacteristic
227C22×C4×C5C23×C314yes—
228C22×C4×C5C23×C314yes—
229C22×C4×C5C23×C318yes—
230C5×C4⋊C4C23×C314yes—
231C5×C4⋊C4C23×C312yes—
232C5×C4⋊C4C23×C314yes—
233C5×C4⋊C4C23×C318yes—
234C5×C4⋊C4C23×C318yes—
235C5×C4⋊C4C23×C312yes—
236C5×C4⋊C4C23×C318yes—
237C5×C4⋊C4C23×C314yes—
238C5×C4⋊C4C23×C314yes—
239C5×C4⋊C4C23×C314yes—
240C5×C4⋊C4C23×C314yes—
241C5×C4⋊C4C23×C318yes—
242C5×C22⋊C4C23×C314yes—
243C5×C22⋊C4C23×C314yes—
244C5×C22⋊C4C23×C318yes—
245C5×C22⋊C4C23×C314yes—
246C5×C22⋊C4C23×C318yes—
247C5×C22⋊C4C23×C314yes—
248C5×C22⋊C4C23×C314yes—
249C42×C5C23×C312yes—
250C42×C5C23×C311yescharacteristic
251C42×C5C23×C311yescharacteristic
252C42×C5C23×C314yes—
253C42×C5C23×C314yes—
254C42×C5C23×C314yes—
255#563C2×C3×C514yescomplemented
256Q82C2×C3×C511yescharacteristic, complemented
257#555C2×C3×C511yescharacteristic, complemented
258#554C2×C3×C512yescomplemented
259#552C2×C3×C514yescomplemented
260#547C2×C3×C514yescomplemented
261#544C2×C3×C514yescomplemented
262#542C2×C3×C514yescomplemented
263#536C2×C3×C514yescomplemented
264C2×C4⋊Q8C2×C3×C511yescharacteristic, complemented
265#529C2×C3×C512yescomplemented
266C22×C3×C5—22no—
267C22×C3×C5—24no—
268C22×C3×C5—24no—
269C22×C3×C5—24no—
270C22×C3×C5H(5,𝔽2)12yes—
271C22×C3×C5C2511yescharacteristic
272C3×C4×C5—24no—
273C3×C4×C5—24no—
274C3×C4×C5—21no—
275C3×C4×C5—21no—
276C3×C4×C5—24no—
277C3×C4×C5—22no—
278C3×C4×C5—24no—
279C3×C4×C5—24no—
280C3×C4×C52−1+414yes—
281C3×#41—48no—
282C2×C3×Q8—44no—
283C2×C3×Q8C23×C512yes—
284C2×C3×Q8C23×C512yes—
285C2×C3×Q8C23×C514yes—
286C2×C3×Q8C23×C514yes—
287C2×C3×Q8C23×C512yes—
288C2×C3×D4C23×C512yes—
289C2×C3×D4C23×C514yes—
290C2×C3×D4C23×C514yes—
291C22×C3×C4C23×C512yes—
292C22×C3×C4C23×C511yescharacteristic
293C22×C3×C4C23×C514yes—
294C22×C3×C4C23×C514yes—
295C22×C3×C4C23×C518yes—
296C3×C4⋊C4C23×C514yes—
297C3×C4⋊C4C23×C512yes—
298C3×C4⋊C4C23×C514yes—
299C3×C4⋊C4C23×C518yes—
300C3×C4⋊C4C23×C518yes—
301C3×C4⋊C4C23×C512yes—
302C3×C4⋊C4C23×C518yes—
303C3×C4⋊C4C23×C514yes—
304C3×C4⋊C4C23×C514yes—
305C3×C4⋊C4C23×C514yes—
306C3×C4⋊C4C23×C514yes—
307C3×C4⋊C4C23×C518yes—
308C3×C22⋊C4C23×C514yes—
309C3×C22⋊C4C23×C514yes—
310C3×C22⋊C4C23×C518yes—
311C3×C22⋊C4C23×C514yes—
312C3×C22⋊C4C23×C518yes—
313C3×C22⋊C4C23×C514yes—
314C3×C22⋊C4C23×C514yes—
315C3×C42C23×C512yes—
316C3×C42C23×C511yescharacteristic
317C3×C42C23×C511yescharacteristic
318C3×C42C23×C514yes—
319C3×C42C23×C514yes—
320C3×C42C23×C514yes—
321C23×C5C24×C314yes—
322C23×C5C24×C311yescharacteristic
323C5×Q8—24no—
324C5×Q8—42no—
325C5×Q8—44no—
326C5×Q8—42no—
327C5×Q8—44no—
328C5×D4—28no—
329C5×D4—24no—
330C5×D4—44no—
331C2×C4×C5—22no—
332C2×C4×C5—28no—
333C2×C4×C5—24no—
334C2×C4×C5—28no—
335C2×C4×C5—48no—
336C2×C4×C5C24×C314yes—
337C2×C4×C5C24×C312yes—
338C2×C4×C5C24×C314yes—
339C2×C4×C5C24×C311yescharacteristic
340C2×C4×C5C24×C311yescharacteristic
341C2×C4×C5C24×C314yes—
342C2×C4×C5C24×C314yes—
343C2×C4×C5C24×C314yes—
344C2×C4×C5C24×C312yes—
345C2×#41C22×C3×C514yes—
346C22×Q8C22×C3×C512yes—
347C4⋊Q8C22×C3×C514yes—
348C4⋊Q8C22×C3×C511yescharacteristic
349C4⋊Q8C22×C3×C511yescharacteristic
350C4⋊Q8C22×C3×C512yes—
351C4⋊Q8C22×C3×C514yes—
352C4⋊Q8C22×C3×C514yes—
353C4⋊Q8C22×C3×C514yes—
354#126C22×C3×C514yes—
355#126C22×C3×C518yes—
356#125C22×C3×C512yes—
357#125C22×C3×C514yes—
358#125C22×C3×C518yes—
359#124C22×C3×C512yes—
360#124C22×C3×C514yes—
361#124C22×C3×C514yes—
362#123C22×C3×C514yes—
363#123C22×C3×C518yes—
364#123C22×C3×C518yes—
365C22⋊Q8C22×C3×C512yes—
366C22⋊Q8C22×C3×C518yes—
367C22⋊Q8C22×C3×C518yes—
368C22⋊Q8C22×C3×C514yes—
369C22⋊Q8C22×C3×C518yes—
370#121C22×C3×C512yes—
371#121C22×C3×C514yes—
372C4×Q8C22×C3×C512yes—
373C4×Q8C22×C3×C514yes—
374C4×D4C22×C3×C514yes—
375C4×D4C22×C3×C512yes—
376C4×D4C22×C3×C514yes—
377#117C22×C3×C514yes—
378#117C22×C3×C514yes—
379#117C22×C3×C514yes—
380C2×C4⋊C4C22×C3×C514yes—
381C2×C4⋊C4C22×C3×C514yes—
382C2×C42C22×C3×C511yescharacteristic
383C2×C3×C5—22no—
384C2×C3×C5—44no—
385C2×C3×C5C2×H(5,𝔽2)11yescharacteristic
386C2×C3×C5C2×2−1+412yes—
387C23×C3C24×C514yes—
388C23×C3C24×C511yescharacteristic
389C3×Q8—24no—
390C3×Q8—42no—
391C3×Q8—44no—
392C3×Q8—42no—
393C3×Q8—44no—
394C3×D4—28no—
395C3×D4—24no—
396C3×D4—44no—
397C2×C3×C4—22no—
398C2×C3×C4—28no—
399C2×C3×C4—24no—
400C2×C3×C4—28no—
401C2×C3×C4—48no—
402C2×C3×C4C24×C514yes—
403C2×C3×C4C24×C512yes—
404C2×C3×C4C24×C514yes—
405C2×C3×C4C24×C511yescharacteristic
406C2×C3×C4C24×C511yescharacteristic
407C2×C3×C4C24×C514yes—
408C2×C3×C4C24×C514yes—
409C2×C3×C4C24×C514yes—
410C2×C3×C4C24×C512yes—
411C22×C5—22no—
412C22×C5—24no—
413C22×C5—24no—
414C22×C5—24no—
415C22×C5C3×H(5,𝔽2)12yes—
416C22×C5C25×C311yescharacteristic
417C4×C5—24no—
418C4×C5—24no—
419C4×C5—21no—
420C4×C5—21no—
421C4×C5—24no—
422C4×C5—22no—
423C4×C5—24no—
424C4×C5—24no—
425C4×C5C3×2−1+414yes—
426#41—48no—
427C2×Q8—44no—
428C2×Q8C23×C3×C512yes—
429C2×Q8C23×C3×C512yes—
430C2×Q8C23×C3×C514yes—
431C2×Q8C23×C3×C514yes—
432C2×Q8C23×C3×C512yes—
433C2×D4C23×C3×C512yes—
434C2×D4C23×C3×C514yes—
435C2×D4C23×C3×C514yes—
436C22×C4C23×C3×C512yes—
437C22×C4C23×C3×C511yescharacteristic
438C22×C4C23×C3×C514yes—
439C22×C4C23×C3×C514yes—
440C22×C4C23×C3×C518yes—
441C4⋊C4C23×C3×C514yes—
442C4⋊C4C23×C3×C512yes—
443C4⋊C4C23×C3×C514yes—
444C4⋊C4C23×C3×C518yes—
445C4⋊C4C23×C3×C518yes—
446C4⋊C4C23×C3×C512yes—
447C4⋊C4C23×C3×C518yes—
448C4⋊C4C23×C3×C514yes—
449C4⋊C4C23×C3×C514yes—
450C4⋊C4C23×C3×C514yes—
451C4⋊C4C23×C3×C514yes—
452C4⋊C4C23×C3×C518yes—
453C22⋊C4C23×C3×C514yes—
454C22⋊C4C23×C3×C514yes—
455C22⋊C4C23×C3×C518yes—
456C22⋊C4C23×C3×C514yes—
457C22⋊C4C23×C3×C518yes—
458C22⋊C4C23×C3×C514yes—
459C22⋊C4C23×C3×C514yes—
460C42C23×C3×C512yes—
461C42C23×C3×C511yescharacteristic
462C42C23×C3×C511yescharacteristic
463C42C23×C3×C514yes—
464C42C23×C3×C514yes—
465C42C23×C3×C514yes—
466C3×C5#354411yescharacteristic, direct product factor, Hall
467C22×C3—22no—
468C22×C3—24no—
469C22×C3—24no—
470C22×C3—24no—
471C22×C3C5×H(5,𝔽2)12yes—
472C22×C3C25×C511yescharacteristic
473C3×C4—24no—
474C3×C4—24no—
475C3×C4—21no—
476C3×C4—21no—
477C3×C4—24no—
478C3×C4—22no—
479C3×C4—24no—
480C3×C4—24no—
481C3×C4C5×2−1+414yes—
482C2×C5—22no—
483C2×C5—44no—
484C2×C5C2×C3×H(5,𝔽2)11yescharacteristic
485C2×C5C2×C3×2−1+412yes—
486C23C24×C3×C514yes—
487C23C24×C3×C511yescharacteristic
488Q8—24no—
489Q8—42no—
490Q8—44no—
491Q8—42no—
492Q8—44no—
493D4—28no—
494D4—24no—
495D4—44no—
496C2×C4—22no—
497C2×C4—28no—
498C2×C4—24no—
499C2×C4—28no—
500C2×C4—48no—
501C2×C4C24×C3×C514yes—
502C2×C4C24×C3×C512yes—
503C2×C4C24×C3×C514yes—
504C2×C4C24×C3×C511yescharacteristic
505C2×C4C24×C3×C511yescharacteristic
506C2×C4C24×C3×C514yes—
507C2×C4C24×C3×C514yes—
508C2×C4C24×C3×C514yes—
509C2×C4C24×C3×C512yes—
510C2×C3—22no—
511C2×C3—44no—
512C2×C3C2×C5×H(5,𝔽2)11yescharacteristic
513C2×C3C2×C5×2−1+412yes—
514C5C3×#354411yescharacteristic, direct product factor, Sylow
515C22—22no—
516C22—24no—
517C22—24no—
518C22—24no—
519C22C3×C5×H(5,𝔽2)12yes—
520C22C25×C3×C511yescharacteristic
521C4—24no—
522C4—24no—
523C4—21no—
524C4—21no—
525C4—24no—
526C4—22no—
527C4—24no—
528C4—24no—
529C4C3×C5×2−1+414yes—
530C3C5×#354411yescharacteristic, direct product factor, Sylow
531C2—22no—
532C2—44no—
533C2C2×C3×C5×H(5,𝔽2)11yescharacteristic
534C2C2×C3×C5×2−1+412yes—
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×#563C2semidirect
2. C3×C5×Q82C2semidirect
3. C3×C5×#555C2semidirect
4. C3×C5×#554C2semidirect
5. C3×C5×#552C2semidirect
6. C3×C5×#547C2semidirect
7. C3×C5×#544C2semidirect
8. C3×C5×#542C2semidirect
9. C3×C5×#536C2semidirect
10. C2×C3×C5×C4⋊Q8C2semidirect
11. C3×C5×#529C2semidirect
12. C5×#3544C3direct (N × H)
51. C3×#3544C5direct (N × H)
52. C5×#563C2×C3semidirect
53. C5×Q82C2×C3semidirect
54. C5×#555C2×C3semidirect
55. C5×#554C2×C3semidirect
56. C5×#552C2×C3semidirect
57. C5×#547C2×C3semidirect
58. C5×#544C2×C3semidirect
59. C5×#542C2×C3semidirect
60. C5×#536C2×C3semidirect
61. C2×C5×C4⋊Q8C2×C3semidirect
62. C5×#529C2×C3semidirect
103. C3×#563C2×C5semidirect
104. C3×Q82C2×C5semidirect
105. C3×#555C2×C5semidirect
106. C3×#554C2×C5semidirect
107. C3×#552C2×C5semidirect
108. C3×#547C2×C5semidirect
109. C3×#544C2×C5semidirect
110. C3×#542C2×C5semidirect
111. C3×#536C2×C5semidirect
112. C2×C3×C4⋊Q8C2×C5semidirect
113. C3×#529C2×C5semidirect
152. #3544C3×C5direct (N × H)
255. #563C2×C3×C5semidirect
256. Q82C2×C3×C5semidirect
257. #555C2×C3×C5semidirect
258. #554C2×C3×C5semidirect
259. #552C2×C3×C5semidirect
260. #547C2×C3×C5semidirect
261. #544C2×C3×C5semidirect
262. #542C2×C3×C5semidirect
263. #536C2×C3×C5semidirect
264. C2×C4⋊Q8C2×C3×C5semidirect
265. #529C2×C3×C5semidirect
466. C3×C5#3544direct (N × H)
514. C5C3×#3544direct (N × H)
530. C3C5×#3544direct (N × H)

Maximal subgroups

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

subgroupindex
C3×C5×#5632
C3×C5×Q822
C3×C5×#5552
C3×C5×#5542
C3×C5×#5522
C3×C5×#5472
C3×C5×#5442
C3×C5×#5422
C3×C5×#5362
C2×C3×C5×C4⋊Q82
C3×C5×#5292
C5×#35443
C3×#35445