Finite Group Databasebeta

← C3×C5×#2421 #14275455

Subgroups — C3×C5×#2421 #14275455

Order 1920.

968 conjugacy classes of subgroups.

The subgroup lattice has 560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C5×C22⋊Q8C211yesmaximal, characteristic
2C2×C3×C4×C5×Q8C211yesmaximal, characteristic, complemented
3C3×C5×#400C212yesmaximal, complemented
4C3×C5×#397C212yesmaximal
5C3×C5×#391C211yesmaximal, characteristic, complemented
6C3×C5×#389C211yesmaximal, characteristic, complemented
7C3×C5×#388C212yesmaximal
8C3×C5×#387C212yesmaximal, complemented
9C3×C5×#382C211yesmaximal, characteristic, complemented
10C3×C5×#380C211yesmaximal, characteristic
11C3×C4×C5×C22⋊C4C211yesmaximal, characteristic
12C5×#2421C311yesmaximal, characteristic, direct product factor, Hall
13C22×C3×C5×Q8C2211yescharacteristic
14C23×C3×C4×C5C2211yescharacteristic
15C3×C5×C22⋊Q8—24no—
16C3×C4×C5×Q8—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⋊C4C2211yescharacteristic
22C2×C3×C5×C4⋊C4C2212yes—
23C2×C3×C5×C22⋊C4C2212yes—
24C2×C3×C5×C22⋊C4C2211yescharacteristic
25C2×C3×C5×C22⋊C4C2211yescharacteristic
26C2×C3×C5×C22⋊C4C2212yes—
27C2×C3×C42×C5C2211yescharacteristic
28C2×C3×C42×C5C2212yes—
29C2×C3×C42×C5C2211yescharacteristic
30C3×C5×#95C2211yescharacteristic
31C3×C5×#95C2211yescharacteristic
32C3×C5×#95C2212yes—
33C3×C5×#95C2212yes—
34C3×C5×#95C2212yes—
35C3×C5×#95C2212yes—
36C3×C5×#95C2212yes—
37C3×C5×#95C2212yes—
38C3×#2421C511yesmaximal, characteristic, direct product factor, Hall
39C2×C5×C22⋊Q8C2×C311yescharacteristic
40C2×C4×C5×Q8C2×C311yescharacteristic, complemented
41C5×#400C2×C312yescomplemented
42C5×#397C2×C312yes—
43C5×#391C2×C311yescharacteristic, complemented
44C5×#389C2×C311yescharacteristic, complemented
45C5×#388C2×C312yes—
46C5×#387C2×C312yescomplemented
47C5×#382C2×C311yescharacteristic, complemented
48C5×#380C2×C311yescharacteristic
49C4×C5×C22⋊C4C2×C311yescharacteristic
50C24×C3×C5C2311yescharacteristic
51C2×C3×C5×Q8—22no—
52C2×C3×C5×Q8—22no—
53C2×C3×C5×Q8D414yes—
54C22×C3×C4×C5—22no—
55C22×C3×C4×C5—22no—
56C22×C3×C4×C5—22no—
57C22×C3×C4×C5C2311yescharacteristic
58C22×C3×C4×C5C2312yes—
59C22×C3×C4×C5C2311yescharacteristic
60C22×C3×C4×C5C2311yescharacteristic
61C22×C3×C4×C5C2312yes—
62C22×C3×C4×C5C2312yes—
63C22×C3×C4×C5C2311yescharacteristic
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—22no—
70C3×C5×C4⋊C4—24no—
71C3×C5×C4⋊C4—24no—
72C3×C5×C4⋊C4—22no—
73C3×C5×C22⋊C4—22no—
74C3×C5×C22⋊C4—24no—
75C3×C5×C22⋊C4—24no—
76C3×C5×C22⋊C4—22no—
77C3×C42×C5—24no—
78C3×C42×C5—22no—
79C3×C42×C5—22no—
80C2×C3×C22⋊Q8C2×C511yescharacteristic
81C2×C3×C4×Q8C2×C511yescharacteristic, complemented
82C3×#400C2×C512yescomplemented
83C3×#397C2×C512yes—
84C3×#391C2×C511yescharacteristic, complemented
85C3×#389C2×C511yescharacteristic, complemented
86C3×#388C2×C512yes—
87C3×#387C2×C512yescomplemented
88C3×#382C2×C511yescharacteristic, complemented
89C3×#380C2×C511yescharacteristic
90C3×C4×C22⋊C4C2×C511yescharacteristic
91C22×C5×Q8C22×C311yescharacteristic
92C23×C4×C5C22×C311yescharacteristic
93C5×C22⋊Q8—24no—
94C4×C5×Q8—24no—
95C2×C5×C4⋊C4C22×C311yescharacteristic
96C2×C5×C4⋊C4C22×C311yescharacteristic
97C2×C5×C4⋊C4C22×C311yescharacteristic
98C2×C5×C4⋊C4C22×C312yes—
99C2×C5×C4⋊C4C22×C312yes—
100C2×C5×C4⋊C4C22×C312yes—
101C2×C5×C22⋊C4C22×C311yescharacteristic
102C2×C5×C22⋊C4C22×C311yescharacteristic
103C2×C5×C22⋊C4C22×C312yes—
104C2×C5×C22⋊C4C22×C312yes—
105C2×C42×C5C22×C311yescharacteristic
106C2×C42×C5C22×C311yescharacteristic
107C2×C42×C5C22×C312yes—
108C5×#95C22×C311yescharacteristic
109C5×#95C22×C311yescharacteristic
110C5×#95C22×C312yes—
111C5×#95C22×C312yes—
112C5×#95C22×C312yes—
113C5×#95C22×C312yes—
114C5×#95C22×C312yes—
115C5×#95C22×C312yes—
116#2421C3×C511yescharacteristic, direct product factor, Sylow
117C23×C3×C5—21no—
118C23×C3×C5—21no—
119C23×C3×C5—21no—
120C23×C3×C5—21no—
121C23×C3×C5—21no—
122C23×C3×C5—21no—
123C23×C3×C5#4112yes—
124C23×C3×C5C2411yescharacteristic
125C3×C5×Q8—28no—
126C2×C3×C4×C5—21no—
127C2×C3×C4×C5—22no—
128C2×C3×C4×C5—22no—
129C2×C3×C4×C5—21no—
130C2×C3×C4×C5—22no—
131C2×C3×C4×C5—21no—
132C2×C3×C4×C5—22no—
133C2×C3×C4×C5—21no—
134C2×C3×C4×C5—21no—
135C2×C3×C4×C5—21no—
136C2×C3×C4×C5—22no—
137C2×C3×C4×C5—21no—
138C2×C3×C4×C5—22no—
139C2×C3×C4×C5—21no—
140C2×C3×C4×C5—21no—
141C2×C3×C4×C5—22no—
142C2×C3×C4×C5—22no—
143C2×C3×C4×C5—22no—
144C2×C3×C4×C5—21no—
145C2×C3×C4×C5—21no—
146C2×C3×C4×C5—22no—
147C2×C3×C4×C5—21no—
148C2×C3×C4×C5—22no—
149C2×C3×C4×C5—21no—
150C2×C3×C4×C5—21no—
151C2×C3×C4×C5—44no—
152C2×C3×C4×C5C2×D414yes—
153C2×C3×C4×C5C2×D412yes—
154C2×C3×C4×C5#4112yes—
155C2×C3×C4×C5#4112yes—
156C2×C3×C4×C5#4112yes—
157C22×C3×Q8C22×C511yescharacteristic
158C23×C3×C4C22×C511yescharacteristic
159C3×C22⋊Q8—24no—
160C3×C4×Q8—24no—
161C2×C3×C4⋊C4C22×C511yescharacteristic
162C2×C3×C4⋊C4C22×C511yescharacteristic
163C2×C3×C4⋊C4C22×C511yescharacteristic
164C2×C3×C4⋊C4C22×C512yes—
165C2×C3×C4⋊C4C22×C512yes—
166C2×C3×C4⋊C4C22×C512yes—
167C2×C3×C22⋊C4C22×C511yescharacteristic
168C2×C3×C22⋊C4C22×C511yescharacteristic
169C2×C3×C22⋊C4C22×C512yes—
170C2×C3×C22⋊C4C22×C512yes—
171C2×C3×C42C22×C511yescharacteristic
172C2×C3×C42C22×C511yescharacteristic
173C2×C3×C42C22×C512yes—
174C3×#95C22×C511yescharacteristic
175C3×#95C22×C511yescharacteristic
176C3×#95C22×C512yes—
177C3×#95C22×C512yes—
178C3×#95C22×C512yes—
179C3×#95C22×C512yes—
180C3×#95C22×C512yes—
181C3×#95C22×C512yes—
182C24×C5C23×C311yescharacteristic
183C2×C5×Q8—22no—
184C2×C5×Q8—22no—
185C2×C5×Q8C3×D414yes—
186C22×C4×C5—22no—
187C22×C4×C5—22no—
188C22×C4×C5—22no—
189C22×C4×C5C23×C311yescharacteristic
190C22×C4×C5C23×C312yes—
191C22×C4×C5C23×C311yescharacteristic
192C22×C4×C5C23×C311yescharacteristic
193C22×C4×C5C23×C312yes—
194C22×C4×C5C23×C312yes—
195C22×C4×C5C23×C311yescharacteristic
196C22×C4×C5C23×C312yes—
197C22×C4×C5C23×C311yescharacteristic
198C22×C4×C5C23×C311yescharacteristic
199C5×C4⋊C4—24no—
200C5×C4⋊C4—22no—
201C5×C4⋊C4—22no—
202C5×C4⋊C4—24no—
203C5×C4⋊C4—24no—
204C5×C4⋊C4—22no—
205C5×C22⋊C4—22no—
206C5×C22⋊C4—24no—
207C5×C22⋊C4—24no—
208C5×C22⋊C4—22no—
209C42×C5—24no—
210C42×C5—22no—
211C42×C5—22no—
212C2×C22⋊Q8C2×C3×C511yescharacteristic
213C2×C4×Q8C2×C3×C511yescharacteristic, complemented
214#400C2×C3×C512yescomplemented
215#397C2×C3×C512yes—
216#391C2×C3×C511yescharacteristic, complemented
217#389C2×C3×C511yescharacteristic, complemented
218#388C2×C3×C512yes—
219#387C2×C3×C512yescomplemented
220#382C2×C3×C511yescharacteristic, complemented
221#380C2×C3×C511yescharacteristic
222C4×C22⋊C4C2×C3×C511yescharacteristic
223C22×C3×C5—22no—
224C22×C3×C5—22no—
225C22×C3×C5—22no—
226C22×C3×C5—41no—
227C22×C3×C5—41no—
228C22×C3×C5—41no—
229C22×C3×C5—41no—
230C22×C3×C5C22×D411yescharacteristic
231C22×C3×C5C2×#4111yescharacteristic
232C22×C3×C5C2×#4111yescharacteristic
233C22×C3×C5C2×#4111yescharacteristic
234C22×C3×C5C2×#4111yescharacteristic
235C22×C3×C52−1+411yescharacteristic
236C22×C3×C52−1+411yescharacteristic
237C3×C4×C5—24no—
238C3×C4×C5—22no—
239C3×C4×C5—41no—
240C3×C4×C5—42no—
241C3×C4×C5—42no—
242C3×C4×C5—42no—
243C3×C4×C5—41no—
244C3×C4×C5—41no—
245C3×C4×C5—41no—
246C3×C4×C5#12314yes—
247C24×C3C23×C511yescharacteristic
248C2×C3×Q8—22no—
249C2×C3×Q8—22no—
250C2×C3×Q8C5×D414yes—
251C22×C3×C4—22no—
252C22×C3×C4—22no—
253C22×C3×C4—22no—
254C22×C3×C4C23×C511yescharacteristic
255C22×C3×C4C23×C511yescharacteristic
256C22×C3×C4C23×C512yes—
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×C511yescharacteristic
264C3×C4⋊C4—24no—
265C3×C4⋊C4—22no—
266C3×C4⋊C4—22no—
267C3×C4⋊C4—24no—
268C3×C4⋊C4—24no—
269C3×C4⋊C4—22no—
270C3×C22⋊C4—22no—
271C3×C22⋊C4—24no—
272C3×C22⋊C4—24no—
273C3×C22⋊C4—22no—
274C3×C42—24no—
275C3×C42—22no—
276C3×C42—22no—
277C23×C5—21no—
278C23×C5—21no—
279C23×C5—21no—
280C23×C5—21no—
281C23×C5—21no—
282C23×C5—21no—
283C23×C5C3×#4112yes—
284C23×C5C24×C311yescharacteristic
285C5×Q8—28no—
286C2×C4×C5—21no—
287C2×C4×C5—22no—
288C2×C4×C5—22no—
289C2×C4×C5—21no—
290C2×C4×C5—22no—
291C2×C4×C5—21no—
292C2×C4×C5—22no—
293C2×C4×C5—21no—
294C2×C4×C5—21no—
295C2×C4×C5—21no—
296C2×C4×C5—22no—
297C2×C4×C5—21no—
298C2×C4×C5—22no—
299C2×C4×C5—21no—
300C2×C4×C5—21no—
301C2×C4×C5—22no—
302C2×C4×C5—22no—
303C2×C4×C5—22no—
304C2×C4×C5—21no—
305C2×C4×C5—21no—
306C2×C4×C5—22no—
307C2×C4×C5—21no—
308C2×C4×C5—22no—
309C2×C4×C5—21no—
310C2×C4×C5—21no—
311C2×C4×C5—44no—
312C2×C4×C5C2×C3×D414yes—
313C2×C4×C5C2×C3×D412yes—
314C2×C4×C5C3×#4112yes—
315C2×C4×C5C3×#4112yes—
316C2×C4×C5C3×#4112yes—
317C22×Q8C22×C3×C511yescharacteristic
318C23×C4C22×C3×C511yescharacteristic
319C22⋊Q8—24no—
320C4×Q8—24no—
321C2×C4⋊C4C22×C3×C511yescharacteristic
322C2×C4⋊C4C22×C3×C512yes—
323C2×C4⋊C4C22×C3×C511yescharacteristic
324C2×C4⋊C4C22×C3×C512yes—
325C2×C4⋊C4C22×C3×C511yescharacteristic
326C2×C4⋊C4C22×C3×C512yes—
327C2×C22⋊C4C22×C3×C512yes—
328C2×C22⋊C4C22×C3×C511yescharacteristic
329C2×C22⋊C4C22×C3×C511yescharacteristic
330C2×C22⋊C4C22×C3×C512yes—
331C2×C42C22×C3×C511yescharacteristic
332C2×C42C22×C3×C512yes—
333C2×C42C22×C3×C511yescharacteristic
334#95C22×C3×C511yescharacteristic
335#95C22×C3×C511yescharacteristic
336#95C22×C3×C512yes—
337#95C22×C3×C512yes—
338#95C22×C3×C512yes—
339#95C22×C3×C512yes—
340#95C22×C3×C512yes—
341#95C22×C3×C512yes—
342C2×C3×C5—42no—
343C2×C3×C5C2×#12311yescharacteristic
344C2×C3×C5#52911yescharacteristic
345C2×C3×C5#54111yescharacteristic
346C2×C3×C5#54811yescharacteristic
347C2×C3×C5#54811yescharacteristic
348C2×C3×C5#55211yescharacteristic
349C2×C3×C5#55611yescharacteristic
350C23×C3—21no—
351C23×C3—21no—
352C23×C3—21no—
353C23×C3—21no—
354C23×C3—21no—
355C23×C3—21no—
356C23×C3C5×#4112yes—
357C23×C3C24×C511yescharacteristic
358C3×Q8—28no—
359C2×C3×C4—21no—
360C2×C3×C4—22no—
361C2×C3×C4—22no—
362C2×C3×C4—21no—
363C2×C3×C4—22no—
364C2×C3×C4—21no—
365C2×C3×C4—22no—
366C2×C3×C4—21no—
367C2×C3×C4—21no—
368C2×C3×C4—21no—
369C2×C3×C4—22no—
370C2×C3×C4—21no—
371C2×C3×C4—22no—
372C2×C3×C4—21no—
373C2×C3×C4—21no—
374C2×C3×C4—22no—
375C2×C3×C4—22no—
376C2×C3×C4—22no—
377C2×C3×C4—21no—
378C2×C3×C4—21no—
379C2×C3×C4—22no—
380C2×C3×C4—21no—
381C2×C3×C4—22no—
382C2×C3×C4—21no—
383C2×C3×C4—21no—
384C2×C3×C4—44no—
385C2×C3×C4C2×C5×D414yes—
386C2×C3×C4C2×C5×D412yes—
387C2×C3×C4C5×#4112yes—
388C2×C3×C4C5×#4112yes—
389C2×C3×C4C5×#4112yes—
390C22×C5—22no—
391C22×C5—22no—
392C22×C5—22no—
393C22×C5—41no—
394C22×C5—41no—
395C22×C5—41no—
396C22×C5—41no—
397C22×C5C22×C3×D411yescharacteristic
398C22×C5C2×C3×#4111yescharacteristic
399C22×C5C2×C3×#4111yescharacteristic
400C22×C5C2×C3×#4111yescharacteristic
401C22×C5C2×C3×#4111yescharacteristic
402C22×C5C3×2−1+411yescharacteristic
403C22×C5C3×2−1+411yescharacteristic
404C4×C5—24no—
405C4×C5—22no—
406C4×C5—41no—
407C4×C5—42no—
408C4×C5—42no—
409C4×C5—42no—
410C4×C5—41no—
411C4×C5—41no—
412C4×C5—41no—
413C4×C5C3×#12314yes—
414C24C23×C3×C511yescharacteristic
415C2×Q8—22no—
416C2×Q8—22no—
417C2×Q8C3×C5×D414yes—
418C22×C4—22no—
419C22×C4—22no—
420C22×C4—22no—
421C22×C4C23×C3×C511yescharacteristic
422C22×C4C23×C3×C511yescharacteristic
423C22×C4C23×C3×C512yes—
424C22×C4C23×C3×C511yescharacteristic
425C22×C4C23×C3×C511yescharacteristic
426C22×C4C23×C3×C512yes—
427C22×C4C23×C3×C512yes—
428C22×C4C23×C3×C512yes—
429C22×C4C23×C3×C511yescharacteristic
430C22×C4C23×C3×C511yescharacteristic
431C4⋊C4—24no—
432C4⋊C4—22no—
433C4⋊C4—22no—
434C4⋊C4—24no—
435C4⋊C4—24no—
436C4⋊C4—22no—
437C22⋊C4—22no—
438C22⋊C4—24no—
439C22⋊C4—24no—
440C22⋊C4—22no—
441C42—24no—
442C42—22no—
443C42—22no—
444C3×C5#242111yescharacteristic, direct product factor, Hall
445C22×C3—22no—
446C22×C3—22no—
447C22×C3—22no—
448C22×C3—41no—
449C22×C3—41no—
450C22×C3—41no—
451C22×C3—41no—
452C22×C3C22×C5×D411yescharacteristic
453C22×C3C2×C5×#4111yescharacteristic
454C22×C3C2×C5×#4111yescharacteristic
455C22×C3C2×C5×#4111yescharacteristic
456C22×C3C2×C5×#4111yescharacteristic
457C22×C3C5×2−1+411yescharacteristic
458C22×C3C5×2−1+411yescharacteristic
459C3×C4—24no—
460C3×C4—22no—
461C3×C4—41no—
462C3×C4—42no—
463C3×C4—42no—
464C3×C4—42no—
465C3×C4—41no—
466C3×C4—41no—
467C3×C4—41no—
468C3×C4C5×#12314yes—
469C2×C5—42no—
470C2×C5C2×C3×#12311yescharacteristic
471C2×C5C3×#52911yescharacteristic
472C2×C5C3×#54111yescharacteristic
473C2×C5C3×#54811yescharacteristic
474C2×C5C3×#54811yescharacteristic
475C2×C5C3×#55211yescharacteristic
476C2×C5C3×#55611yescharacteristic
477C23—21no—
478C23—21no—
479C23—21no—
480C23—21no—
481C23—21no—
482C23—21no—
483C23C3×C5×#4112yes—
484C23C24×C3×C511yescharacteristic
485Q8—28no—
486C2×C4—21no—
487C2×C4—22no—
488C2×C4—22no—
489C2×C4—21no—
490C2×C4—22no—
491C2×C4—21no—
492C2×C4—22no—
493C2×C4—21no—
494C2×C4—21no—
495C2×C4—21no—
496C2×C4—22no—
497C2×C4—21no—
498C2×C4—22no—
499C2×C4—21no—
500C2×C4—21no—
501C2×C4—22no—
502C2×C4—22no—
503C2×C4—22no—
504C2×C4—21no—
505C2×C4—21no—
506C2×C4—22no—
507C2×C4—21no—
508C2×C4—22no—
509C2×C4—21no—
510C2×C4—21no—
511C2×C4—44no—
512C2×C4C2×C3×C5×D414yes—
513C2×C4C2×C3×C5×D412yes—
514C2×C4C3×C5×#4112yes—
515C2×C4C3×C5×#4112yes—
516C2×C4C3×C5×#4112yes—
517C2×C3—42no—
518C2×C3C2×C5×#12311yescharacteristic
519C2×C3C5×#52911yescharacteristic
520C2×C3C5×#54111yescharacteristic
521C2×C3C5×#54811yescharacteristic
522C2×C3C5×#54811yescharacteristic
523C2×C3C5×#55211yescharacteristic
524C2×C3C5×#55611yescharacteristic
525C5C3×#242111yescharacteristic, direct product factor, Sylow
526C22—22no—
527C22—22no—
528C22—22no—
529C22—41no—
530C22—41no—
531C22—41no—
532C22—41no—
533C22C22×C3×C5×D411yescharacteristic
534C22C2×C3×C5×#4111yescharacteristic
535C22C2×C3×C5×#4111yescharacteristic
536C22C2×C3×C5×#4111yescharacteristic
537C22C2×C3×C5×#4111yescharacteristic
538C22C3×C5×2−1+411yescharacteristic
539C22C3×C5×2−1+411yescharacteristic
540C4—24no—
541C4—22no—
542C4—41no—
543C4—42no—
544C4—42no—
545C4—42no—
546C4—41no—
547C4—41no—
548C4—41no—
549C4C3×C5×#12314yes—
550C3C5×#242111yescharacteristic, direct product factor, Sylow
551C2—42no—
552C2C2×C3×C5×#12311yescharacteristic
553C2C3×C5×#52911yescharacteristic
554C2C3×C5×#54111yescharacteristic
555C2C3×C5×#54811yescharacteristic
556C2C3×C5×#54811yescharacteristic
557C2C3×C5×#55211yescharacteristic
558C2C3×C5×#55611yescharacteristic
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
2. C2×C3×C4×C5×Q8C2semidirect
3. C3×C5×#400C2semidirect
5. C3×C5×#391C2semidirect
6. C3×C5×#389C2semidirect
8. C3×C5×#387C2semidirect
9. C3×C5×#382C2semidirect
12. C5×#2421C3direct (N × H)
38. C3×#2421C5direct (N × H)
40. C2×C4×C5×Q8C2×C3semidirect
41. C5×#400C2×C3semidirect
43. C5×#391C2×C3semidirect
44. C5×#389C2×C3semidirect
46. C5×#387C2×C3semidirect
47. C5×#382C2×C3semidirect
81. C2×C3×C4×Q8C2×C5semidirect
82. C3×#400C2×C5semidirect
84. C3×#391C2×C5semidirect
85. C3×#389C2×C5semidirect
87. C3×#387C2×C5semidirect
88. C3×#382C2×C5semidirect
116. #2421C3×C5direct (N × H)
213. C2×C4×Q8C2×C3×C5semidirect
214. #400C2×C3×C5semidirect
216. #391C2×C3×C5semidirect
217. #389C2×C3×C5semidirect
219. #387C2×C3×C5semidirect
220. #382C2×C3×C5semidirect
444. C3×C5#2421direct (N × H)
525. C5C3×#2421direct (N × H)
550. C3C5×#2421direct (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×C22⋊Q82
C2×C3×C4×C5×Q82
C3×C5×#4002
C3×C5×#3972
C3×C5×#3912
C3×C5×#3892
C3×C5×#3882
C3×C5×#3872
C3×C5×#3822
C3×C5×#3802
C3×C4×C5×C22⋊C42
C5×#24213
C3×#24215