Finite Group Databasebeta

← C3×C5×#2442 #14275476

Subgroups — C3×C5×#2442 #14275476

Order 1920.

1040 conjugacy classes of subgroups.

The subgroup lattice has 564 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C5×#125C211yesmaximal, characteristic, complemented
2C22×C3×C5×C4⋊C4C211yesmaximal, characteristic
3C3×C5×#400C212yesmaximal, complemented
4C3×C5×#398C212yesmaximal, complemented
5C3×C5×#389C211yesmaximal, characteristic, complemented
6C3×C5×#389C211yesmaximal, characteristic, complemented
7C3×C5×#385C212yesmaximal
8C3×C5×#382C211yesmaximal, characteristic, complemented
9C3×C5×#380C212yesmaximal
10C3×C5×#380C211yesmaximal, characteristic
11C3×C4×C5×C22⋊C4C211yesmaximal, characteristic
12C5×#2442C311yesmaximal, characteristic, direct product factor, Hall
13C23×C3×C4×C5C2212yes—
14C23×C3×C4×C5C2211yescharacteristic
15C3×C5×#125—24no—
16C2×C3×C5×C4⋊C4—24no—
17C2×C3×C5×C4⋊C4C2211yescharacteristic
18C2×C3×C5×C4⋊C4C2212yes—
19C2×C3×C5×C4⋊C4C2211yescharacteristic
20C2×C3×C5×C4⋊C4C2212yes—
21C2×C3×C5×C4⋊C4C2212yes—
22C2×C3×C5×C4⋊C4C2211yescharacteristic
23C2×C3×C5×C4⋊C4C2212yes—
24C2×C3×C5×C4⋊C4C2212yes—
25C2×C3×C5×C4⋊C4C2211yescharacteristic
26C2×C3×C5×C22⋊C4C2211yescharacteristic
27C2×C3×C5×C22⋊C4C2211yescharacteristic
28C2×C3×C5×C22⋊C4C2212yes—
29C2×C3×C42×C5C2211yescharacteristic
30C2×C3×C42×C5C2211yescharacteristic
31C3×C5×#95C2211yescharacteristic
32C3×C5×#95C2211yescharacteristic
33C3×C5×#95C2212yes—
34C3×C5×#95C2212yes—
35C3×C5×#95C2212yes—
36C3×C5×#95C2212yes—
37C3×C5×#95C2212yes—
38C3×#2442C511yesmaximal, characteristic, direct product factor, Hall
39C2×C5×#125C2×C311yescharacteristic, complemented
40C22×C5×C4⋊C4C2×C311yescharacteristic
41C5×#400C2×C312yescomplemented
42C5×#398C2×C312yescomplemented
43C5×#389C2×C311yescharacteristic, complemented
44C5×#389C2×C311yescharacteristic, complemented
45C5×#385C2×C312yes—
46C5×#382C2×C311yescharacteristic, complemented
47C5×#380C2×C312yes—
48C5×#380C2×C311yescharacteristic
49C4×C5×C22⋊C4C2×C311yescharacteristic
50C24×C3×C5C2311yescharacteristic
51C22×C3×C4×C5—22no—
52C22×C3×C4×C5—22no—
53C22×C3×C4×C5—24no—
54C22×C3×C4×C5—24no—
55C22×C3×C4×C5—42no—
56C22×C3×C4×C5Q814yes—
57C22×C3×C4×C5C2311yescharacteristic
58C22×C3×C4×C5C2311yescharacteristic
59C22×C3×C4×C5C2311yescharacteristic
60C22×C3×C4×C5C2311yescharacteristic
61C22×C3×C4×C5C2312yes—
62C22×C3×C4×C5C2312yes—
63C22×C3×C4×C5C2312yes—
64C22×C3×C4×C5C2312yes—
65C22×C3×C4×C5C2311yescharacteristic
66C22×C3×C4×C5C2311yescharacteristic
67C3×C5×C4⋊C4—24no—
68C3×C5×C4⋊C4—22no—
69C3×C5×C4⋊C4—24no—
70C3×C5×C4⋊C4—24no—
71C3×C5×C4⋊C4—22no—
72C3×C5×C4⋊C4—22no—
73C3×C5×C4⋊C4—42no—
74C3×C5×C4⋊C4—42no—
75C3×C5×C4⋊C4D414yes—
76C3×C5×C22⋊C4—22no—
77C3×C5×C22⋊C4—24no—
78C3×C5×C22⋊C4—22no—
79C3×C42×C5—22no—
80C3×C42×C5—22no—
81C2×C3×#125C2×C511yescharacteristic, complemented
82C22×C3×C4⋊C4C2×C511yescharacteristic
83C3×#400C2×C512yescomplemented
84C3×#398C2×C512yescomplemented
85C3×#389C2×C511yescharacteristic, complemented
86C3×#389C2×C511yescharacteristic, complemented
87C3×#385C2×C512yes—
88C3×#382C2×C511yescharacteristic, complemented
89C3×#380C2×C512yes—
90C3×#380C2×C511yescharacteristic
91C3×C4×C22⋊C4C2×C511yescharacteristic
92C23×C4×C5C22×C312yes—
93C23×C4×C5C22×C311yescharacteristic
94C5×#125—24no—
95C2×C5×C4⋊C4—24no—
96C2×C5×C4⋊C4C22×C311yescharacteristic
97C2×C5×C4⋊C4C22×C311yescharacteristic
98C2×C5×C4⋊C4C22×C312yes—
99C2×C5×C4⋊C4C22×C311yescharacteristic
100C2×C5×C4⋊C4C22×C312yes—
101C2×C5×C4⋊C4C22×C312yes—
102C2×C5×C4⋊C4C22×C312yes—
103C2×C5×C4⋊C4C22×C312yes—
104C2×C5×C4⋊C4C22×C311yescharacteristic
105C2×C5×C22⋊C4C22×C311yescharacteristic
106C2×C5×C22⋊C4C22×C311yescharacteristic
107C2×C5×C22⋊C4C22×C312yes—
108C2×C42×C5C22×C311yescharacteristic
109C2×C42×C5C22×C311yescharacteristic
110C5×#95C22×C311yescharacteristic
111C5×#95C22×C311yescharacteristic
112C5×#95C22×C312yes—
113C5×#95C22×C312yes—
114C5×#95C22×C312yes—
115C5×#95C22×C312yes—
116C5×#95C22×C312yes—
117#2442C3×C511yescharacteristic, direct product factor, Sylow
118C23×C3×C5—21no—
119C23×C3×C5—21no—
120C23×C3×C5—21no—
121C23×C3×C5—21no—
122C23×C3×C5C2×Q812yes—
123C23×C3×C5#4112yes—
124C23×C3×C5#4112yes—
125C23×C3×C5C2411yescharacteristic
126C2×C3×C4×C5—21no—
127C2×C3×C4×C5—21no—
128C2×C3×C4×C5—22no—
129C2×C3×C4×C5—22no—
130C2×C3×C4×C5—28no—
131C2×C3×C4×C5—21no—
132C2×C3×C4×C5—21no—
133C2×C3×C4×C5—22no—
134C2×C3×C4×C5—22no—
135C2×C3×C4×C5—21no—
136C2×C3×C4×C5—21no—
137C2×C3×C4×C5—21no—
138C2×C3×C4×C5—21no—
139C2×C3×C4×C5—22no—
140C2×C3×C4×C5—21no—
141C2×C3×C4×C5—21no—
142C2×C3×C4×C5—22no—
143C2×C3×C4×C5—22no—
144C2×C3×C4×C5—22no—
145C2×C3×C4×C5—21no—
146C2×C3×C4×C5—21no—
147C2×C3×C4×C5—22no—
148C2×C3×C4×C5—22no—
149C2×C3×C4×C5—21no—
150C2×C3×C4×C5—22no—
151C2×C3×C4×C5—21no—
152C2×C3×C4×C5—48no—
153C2×C3×C4×C5C2×D414yes—
154C2×C3×C4×C5C2×D412yes—
155C2×C3×C4×C5C2×Q812yes—
156C2×C3×C4×C5C2×Q812yes—
157C2×C3×C4×C5#4112yes—
158C23×C3×C4C22×C512yes—
159C23×C3×C4C22×C511yescharacteristic
160C3×#125—24no—
161C2×C3×C4⋊C4—24no—
162C2×C3×C4⋊C4C22×C511yescharacteristic
163C2×C3×C4⋊C4C22×C511yescharacteristic
164C2×C3×C4⋊C4C22×C512yes—
165C2×C3×C4⋊C4C22×C511yescharacteristic
166C2×C3×C4⋊C4C22×C512yes—
167C2×C3×C4⋊C4C22×C512yes—
168C2×C3×C4⋊C4C22×C512yes—
169C2×C3×C4⋊C4C22×C512yes—
170C2×C3×C4⋊C4C22×C511yescharacteristic
171C2×C3×C22⋊C4C22×C511yescharacteristic
172C2×C3×C22⋊C4C22×C511yescharacteristic
173C2×C3×C22⋊C4C22×C512yes—
174C2×C3×C42C22×C511yescharacteristic
175C2×C3×C42C22×C511yescharacteristic
176C3×#95C22×C511yescharacteristic
177C3×#95C22×C511yescharacteristic
178C3×#95C22×C512yes—
179C3×#95C22×C512yes—
180C3×#95C22×C512yes—
181C3×#95C22×C512yes—
182C3×#95C22×C512yes—
183C24×C5C23×C311yescharacteristic
184C22×C4×C5—22no—
185C22×C4×C5—22no—
186C22×C4×C5—24no—
187C22×C4×C5—24no—
188C22×C4×C5—42no—
189C22×C4×C5C3×Q814yes—
190C22×C4×C5C23×C311yescharacteristic
191C22×C4×C5C23×C311yescharacteristic
192C22×C4×C5C23×C311yescharacteristic
193C22×C4×C5C23×C311yescharacteristic
194C22×C4×C5C23×C312yes—
195C22×C4×C5C23×C312yes—
196C22×C4×C5C23×C312yes—
197C22×C4×C5C23×C312yes—
198C22×C4×C5C23×C311yescharacteristic
199C22×C4×C5C23×C311yescharacteristic
200C5×C4⋊C4—24no—
201C5×C4⋊C4—22no—
202C5×C4⋊C4—24no—
203C5×C4⋊C4—24no—
204C5×C4⋊C4—22no—
205C5×C4⋊C4—22no—
206C5×C4⋊C4—42no—
207C5×C4⋊C4—42no—
208C5×C4⋊C4C3×D414yes—
209C5×C22⋊C4—22no—
210C5×C22⋊C4—24no—
211C5×C22⋊C4—22no—
212C42×C5—22no—
213C42×C5—22no—
214C2×#125C2×C3×C511yescharacteristic, complemented
215C22×C4⋊C4C2×C3×C511yescharacteristic
216#400C2×C3×C512yescomplemented
217#398C2×C3×C512yescomplemented
218#389C2×C3×C511yescharacteristic, complemented
219#389C2×C3×C511yescharacteristic, complemented
220#385C2×C3×C512yes—
221#382C2×C3×C511yescharacteristic, complemented
222#380C2×C3×C512yes—
223#380C2×C3×C511yescharacteristic
224C4×C22⋊C4C2×C3×C511yescharacteristic
225C22×C3×C5—22no—
226C22×C3×C5—22no—
227C22×C3×C5—22no—
228C22×C3×C5—22no—
229C22×C3×C5—22no—
230C22×C3×C5—22no—
231C22×C3×C5#12514yescomplemented
232C22×C3×C5C22×D411yescharacteristic
233C22×C3×C5C22×Q811yescharacteristic
234C22×C3×C5C2×#4111yescharacteristic
235C22×C3×C5C2×#4111yescharacteristic
236C22×C3×C5C2×#4111yescharacteristic
237C22×C3×C5H(5,𝔽2)11yescharacteristic
238C22×C3×C52−1+411yescharacteristic
239C3×C4×C5—22no—
240C3×C4×C5—24no—
241C3×C4×C5—41no—
242C3×C4×C5—42no—
243C3×C4×C5—41no—
244C3×C4×C5—42no—
245C3×C4×C5—41no—
246C3×C4×C5—41no—
247C3×C4×C5—42no—
248C3×C4×C5C22⋊Q814yes—
249C24×C3C23×C511yescharacteristic
250C22×C3×C4—22no—
251C22×C3×C4—22no—
252C22×C3×C4—24no—
253C22×C3×C4—24no—
254C22×C3×C4—42no—
255C22×C3×C4C5×Q814yes—
256C22×C3×C4C23×C511yescharacteristic
257C22×C3×C4C23×C511yescharacteristic
258C22×C3×C4C23×C511yescharacteristic
259C22×C3×C4C23×C512yes—
260C22×C3×C4C23×C512yes—
261C22×C3×C4C23×C512yes—
262C22×C3×C4C23×C511yescharacteristic
263C22×C3×C4C23×C512yes—
264C22×C3×C4C23×C511yescharacteristic
265C22×C3×C4C23×C511yescharacteristic
266C3×C4⋊C4—24no—
267C3×C4⋊C4—22no—
268C3×C4⋊C4—24no—
269C3×C4⋊C4—24no—
270C3×C4⋊C4—22no—
271C3×C4⋊C4—22no—
272C3×C4⋊C4—42no—
273C3×C4⋊C4—42no—
274C3×C4⋊C4C5×D414yes—
275C3×C22⋊C4—22no—
276C3×C22⋊C4—24no—
277C3×C22⋊C4—22no—
278C3×C42—22no—
279C3×C42—22no—
280C23×C5—21no—
281C23×C5—21no—
282C23×C5—21no—
283C23×C5—21no—
284C23×C5C2×C3×Q812yes—
285C23×C5C3×#4112yes—
286C23×C5C3×#4112yes—
287C23×C5C24×C311yescharacteristic
288C2×C4×C5—21no—
289C2×C4×C5—21no—
290C2×C4×C5—22no—
291C2×C4×C5—22no—
292C2×C4×C5—28no—
293C2×C4×C5—21no—
294C2×C4×C5—21no—
295C2×C4×C5—22no—
296C2×C4×C5—22no—
297C2×C4×C5—21no—
298C2×C4×C5—21no—
299C2×C4×C5—21no—
300C2×C4×C5—21no—
301C2×C4×C5—22no—
302C2×C4×C5—21no—
303C2×C4×C5—21no—
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—22no—
311C2×C4×C5—21no—
312C2×C4×C5—22no—
313C2×C4×C5—21no—
314C2×C4×C5—48no—
315C2×C4×C5C2×C3×D414yes—
316C2×C4×C5C2×C3×D412yes—
317C2×C4×C5C2×C3×Q812yes—
318C2×C4×C5C2×C3×Q812yes—
319C2×C4×C5C3×#4112yes—
320C23×C4C22×C3×C512yes—
321C23×C4C22×C3×C511yescharacteristic
322#125—24no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4C22×C3×C511yescharacteristic
325C2×C4⋊C4C22×C3×C512yes—
326C2×C4⋊C4C22×C3×C511yescharacteristic
327C2×C4⋊C4C22×C3×C512yes—
328C2×C4⋊C4C22×C3×C512yes—
329C2×C4⋊C4C22×C3×C511yescharacteristic
330C2×C4⋊C4C22×C3×C512yes—
331C2×C4⋊C4C22×C3×C512yes—
332C2×C4⋊C4C22×C3×C511yescharacteristic
333C2×C22⋊C4C22×C3×C511yescharacteristic
334C2×C22⋊C4C22×C3×C511yescharacteristic
335C2×C22⋊C4C22×C3×C512yes—
336C2×C42C22×C3×C511yescharacteristic
337C2×C42C22×C3×C511yescharacteristic
338#95C22×C3×C511yescharacteristic
339#95C22×C3×C511yescharacteristic
340#95C22×C3×C512yes—
341#95C22×C3×C512yes—
342#95C22×C3×C512yes—
343#95C22×C3×C512yes—
344#95C22×C3×C512yes—
345C2×C3×C5—24no—
346C2×C3×C5C2×C22⋊Q811yescharacteristic
347C2×C3×C5C2×#12511yescharacteristic
348C2×C3×C5#54411yescharacteristic
349C2×C3×C5#54611yescharacteristic
350C2×C3×C5#54811yescharacteristic
351C2×C3×C5#55211yescharacteristic
352C2×C3×C5#55311yescharacteristic
353C23×C3—21no—
354C23×C3—21no—
355C23×C3—21no—
356C23×C3—21no—
357C23×C3C2×C5×Q812yes—
358C23×C3C5×#4112yes—
359C23×C3C5×#4112yes—
360C23×C3C24×C511yescharacteristic
361C2×C3×C4—21no—
362C2×C3×C4—21no—
363C2×C3×C4—22no—
364C2×C3×C4—22no—
365C2×C3×C4—28no—
366C2×C3×C4—21no—
367C2×C3×C4—21no—
368C2×C3×C4—22no—
369C2×C3×C4—22no—
370C2×C3×C4—21no—
371C2×C3×C4—21no—
372C2×C3×C4—21no—
373C2×C3×C4—21no—
374C2×C3×C4—22no—
375C2×C3×C4—21no—
376C2×C3×C4—21no—
377C2×C3×C4—22no—
378C2×C3×C4—22no—
379C2×C3×C4—22no—
380C2×C3×C4—21no—
381C2×C3×C4—21no—
382C2×C3×C4—22no—
383C2×C3×C4—22no—
384C2×C3×C4—21no—
385C2×C3×C4—22no—
386C2×C3×C4—21no—
387C2×C3×C4—48no—
388C2×C3×C4C2×C5×D414yes—
389C2×C3×C4C2×C5×D412yes—
390C2×C3×C4C2×C5×Q812yes—
391C2×C3×C4C2×C5×Q812yes—
392C2×C3×C4C5×#4112yes—
393C22×C5—22no—
394C22×C5—22no—
395C22×C5—22no—
396C22×C5—22no—
397C22×C5—22no—
398C22×C5—22no—
399C22×C5C3×#12514yescomplemented
400C22×C5C22×C3×D411yescharacteristic
401C22×C5C22×C3×Q811yescharacteristic
402C22×C5C2×C3×#4111yescharacteristic
403C22×C5C2×C3×#4111yescharacteristic
404C22×C5C2×C3×#4111yescharacteristic
405C22×C5C3×H(5,𝔽2)11yescharacteristic
406C22×C5C3×2−1+411yescharacteristic
407C4×C5—22no—
408C4×C5—24no—
409C4×C5—41no—
410C4×C5—42no—
411C4×C5—41no—
412C4×C5—42no—
413C4×C5—41no—
414C4×C5—41no—
415C4×C5—42no—
416C4×C5C3×C22⋊Q814yes—
417C24C23×C3×C511yescharacteristic
418C22×C4—22no—
419C22×C4—22no—
420C22×C4—24no—
421C22×C4—24no—
422C22×C4—42no—
423C22×C4C3×C5×Q814yes—
424C22×C4C23×C3×C511yescharacteristic
425C22×C4C23×C3×C511yescharacteristic
426C22×C4C23×C3×C511yescharacteristic
427C22×C4C23×C3×C512yes—
428C22×C4C23×C3×C512yes—
429C22×C4C23×C3×C512yes—
430C22×C4C23×C3×C511yescharacteristic
431C22×C4C23×C3×C512yes—
432C22×C4C23×C3×C511yescharacteristic
433C22×C4C23×C3×C511yescharacteristic
434C4⋊C4—24no—
435C4⋊C4—22no—
436C4⋊C4—24no—
437C4⋊C4—24no—
438C4⋊C4—22no—
439C4⋊C4—22no—
440C4⋊C4—42no—
441C4⋊C4—42no—
442C4⋊C4C3×C5×D414yes—
443C22⋊C4—22no—
444C22⋊C4—24no—
445C22⋊C4—22no—
446C42—22no—
447C42—22no—
448C3×C5#244211yescharacteristic, direct product factor, Hall
449C22×C3—22no—
450C22×C3—22no—
451C22×C3—22no—
452C22×C3—22no—
453C22×C3—22no—
454C22×C3—22no—
455C22×C3C5×#12514yescomplemented
456C22×C3C22×C5×D411yescharacteristic
457C22×C3C22×C5×Q811yescharacteristic
458C22×C3C2×C5×#4111yescharacteristic
459C22×C3C2×C5×#4111yescharacteristic
460C22×C3C2×C5×#4111yescharacteristic
461C22×C3C5×H(5,𝔽2)11yescharacteristic
462C22×C3C5×2−1+411yescharacteristic
463C3×C4—22no—
464C3×C4—24no—
465C3×C4—41no—
466C3×C4—42no—
467C3×C4—41no—
468C3×C4—42no—
469C3×C4—41no—
470C3×C4—41no—
471C3×C4—42no—
472C3×C4C5×C22⋊Q814yes—
473C2×C5—24no—
474C2×C5C2×C3×C22⋊Q811yescharacteristic
475C2×C5C2×C3×#12511yescharacteristic
476C2×C5C3×#54411yescharacteristic
477C2×C5C3×#54611yescharacteristic
478C2×C5C3×#54811yescharacteristic
479C2×C5C3×#55211yescharacteristic
480C2×C5C3×#55311yescharacteristic
481C23—21no—
482C23—21no—
483C23—21no—
484C23—21no—
485C23C2×C3×C5×Q812yes—
486C23C3×C5×#4112yes—
487C23C3×C5×#4112yes—
488C23C24×C3×C511yescharacteristic
489C2×C4—21no—
490C2×C4—21no—
491C2×C4—22no—
492C2×C4—22no—
493C2×C4—28no—
494C2×C4—21no—
495C2×C4—21no—
496C2×C4—22no—
497C2×C4—22no—
498C2×C4—21no—
499C2×C4—21no—
500C2×C4—21no—
501C2×C4—21no—
502C2×C4—22no—
503C2×C4—21no—
504C2×C4—21no—
505C2×C4—22no—
506C2×C4—22no—
507C2×C4—22no—
508C2×C4—21no—
509C2×C4—21no—
510C2×C4—22no—
511C2×C4—22no—
512C2×C4—21no—
513C2×C4—22no—
514C2×C4—21no—
515C2×C4—48no—
516C2×C4C2×C3×C5×D414yes—
517C2×C4C2×C3×C5×D412yes—
518C2×C4C2×C3×C5×Q812yes—
519C2×C4C2×C3×C5×Q812yes—
520C2×C4C3×C5×#4112yes—
521C2×C3—24no—
522C2×C3C2×C5×C22⋊Q811yescharacteristic
523C2×C3C2×C5×#12511yescharacteristic
524C2×C3C5×#54411yescharacteristic
525C2×C3C5×#54611yescharacteristic
526C2×C3C5×#54811yescharacteristic
527C2×C3C5×#55211yescharacteristic
528C2×C3C5×#55311yescharacteristic
529C5C3×#244211yescharacteristic, direct product factor, Sylow
530C22—22no—
531C22—22no—
532C22—22no—
533C22—22no—
534C22—22no—
535C22—22no—
536C22C3×C5×#12514yescomplemented
537C22C22×C3×C5×D411yescharacteristic
538C22C22×C3×C5×Q811yescharacteristic
539C22C2×C3×C5×#4111yescharacteristic
540C22C2×C3×C5×#4111yescharacteristic
541C22C2×C3×C5×#4111yescharacteristic
542C22C3×C5×H(5,𝔽2)11yescharacteristic
543C22C3×C5×2−1+411yescharacteristic
544C4—22no—
545C4—24no—
546C4—42no—
547C4—41no—
548C4—41no—
549C4—42no—
550C4—41no—
551C4—41no—
552C4—42no—
553C4C3×C5×C22⋊Q814yes—
554C3C5×#244211yescharacteristic, direct product factor, Sylow
555C2—24no—
556C2C2×C3×C5×C22⋊Q811yescharacteristic
557C2C2×C3×C5×#12511yescharacteristic
558C2C3×C5×#54411yescharacteristic
559C2C3×C5×#54611yescharacteristic
560C2C3×C5×#54811yescharacteristic
561C2C3×C5×#55211yescharacteristic
562C2C3×C5×#55311yescharacteristic
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. C2×C3×C5×#125C2semidirect
3. C3×C5×#400C2semidirect
4. C3×C5×#398C2semidirect
5. C3×C5×#389C2semidirect
6. C3×C5×#389C2semidirect
8. C3×C5×#382C2semidirect
12. C5×#2442C3direct (N × H)
38. C3×#2442C5direct (N × H)
39. C2×C5×#125C2×C3semidirect
41. C5×#400C2×C3semidirect
42. C5×#398C2×C3semidirect
43. C5×#389C2×C3semidirect
44. C5×#389C2×C3semidirect
46. C5×#382C2×C3semidirect
81. C2×C3×#125C2×C5semidirect
83. C3×#400C2×C5semidirect
84. C3×#398C2×C5semidirect
85. C3×#389C2×C5semidirect
86. C3×#389C2×C5semidirect
88. C3×#382C2×C5semidirect
117. #2442C3×C5direct (N × H)
214. C2×#125C2×C3×C5semidirect
216. #400C2×C3×C5semidirect
217. #398C2×C3×C5semidirect
218. #389C2×C3×C5semidirect
219. #389C2×C3×C5semidirect
221. #382C2×C3×C5semidirect
231. C22×C3×C5#125semidirect
399. C22×C5C3×#125semidirect
448. C3×C5#2442direct (N × H)
455. C22×C3C5×#125semidirect
529. C5C3×#2442direct (N × H)
536. C22C3×C5×#125semidirect
554. C3C5×#2442direct (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×#1252
C22×C3×C5×C4⋊C42
C3×C5×#4002
C3×C5×#3982
C3×C5×#3892
C3×C5×#3852
C3×C5×#3822
C3×C5×#3802
C3×C4×C5×C22⋊C42
C5×#24423
C3×#24425