Finite Group Databasebeta

← C3×C5×#2636 #14275670

Subgroups — C3×C5×#2636 #14275670

Order 1920.

1124 conjugacy classes of subgroups.

The subgroup lattice has 576 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C5×#126C211yesmaximal, characteristic, complemented
2C2×C3×C4×C5×D4C211yesmaximal, characteristic, complemented
3C3×C5×#400C211yesmaximal, characteristic, complemented
4C3×C5×#399C211yesmaximal, characteristic, complemented
5C3×C5×#396C212yesmaximal, complemented
6C3×C5×#394C212yesmaximal, complemented
7C3×C5×#394C211yesmaximal, characteristic, complemented
8C3×C5×#392C211yesmaximal, characteristic
9C3×C5×#386C212yesmaximal, complemented
10C3×C5×#385C212yesmaximal, complemented
11C3×C5×#382C211yesmaximal, characteristic, complemented
12C5×#2636C311yesmaximal, characteristic, direct product factor, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C22×C3×C5×D4C2212yes—
15C23×C3×C4×C5C2212yes—
16C3×C5×#126—24no—
17C3×C4×C5×D4—24no—
18C2×C3×C5×C4⋊C4C2211yescharacteristic
19C2×C3×C5×C4⋊C4C2211yescharacteristic
20C2×C3×C5×C4⋊C4C2211yescharacteristic
21C2×C3×C5×C4⋊C4C2211yescharacteristic
22C2×C3×C5×C4⋊C4C2212yes—
23C2×C3×C5×C4⋊C4C2212yes—
24C2×C3×C5×C22⋊C4C2212yes—
25C2×C3×C5×C22⋊C4C2211yescharacteristic
26C2×C3×C5×C22⋊C4C2211yescharacteristic
27C2×C3×C5×C22⋊C4C2211yescharacteristic
28C2×C3×C5×C22⋊C4C2212yes—
29C2×C3×C5×C22⋊C4C2212yes—
30C2×C3×C5×C22⋊C4C2212yes—
31C2×C3×C5×C22⋊C4C2212yes—
32C2×C3×C42×C5C2211yescharacteristic
33C3×C5×#95C2212yes—
34C3×C5×#95C2211yescharacteristic
35C3×C5×#95C2211yescharacteristic
36C3×C5×#95C2212yes—
37C3×C5×#95C2212yes—
38C3×#2636C511yesmaximal, characteristic, direct product factor, Hall
39C2×C5×#126C2×C311yescharacteristic, complemented
40C2×C4×C5×D4C2×C311yescharacteristic, complemented
41C5×#400C2×C311yescharacteristic, complemented
42C5×#399C2×C311yescharacteristic, complemented
43C5×#396C2×C312yescomplemented
44C5×#394C2×C311yescharacteristic, complemented
45C5×#394C2×C312yescomplemented
46C5×#392C2×C311yescharacteristic
47C5×#386C2×C312yescomplemented
48C5×#385C2×C312yescomplemented
49C5×#382C2×C311yescharacteristic, complemented
50C24×C3×C5C2311yescharacteristic
51C24×C3×C5C2312yes—
52C2×C3×C5×D4—24no—
53C2×C3×C5×D4—24no—
54C2×C3×C5×D4—22no—
55C2×C3×C5×D4—42no—
56C2×C3×C5×D4—42no—
57C22×C3×C4×C5—24no—
58C22×C3×C4×C5—42no—
59C22×C3×C4×C5—42no—
60C22×C3×C4×C5C2311yescharacteristic
61C22×C3×C4×C5C2311yescharacteristic
62C22×C3×C4×C5C2311yescharacteristic
63C22×C3×C4×C5C2312yes—
64C22×C3×C4×C5C2312yes—
65C22×C3×C4×C5C2312yes—
66C22×C3×C4×C5C2311yescharacteristic
67C22×C3×C4×C5C2311yescharacteristic
68C22×C3×C4×C5C2311yescharacteristic
69C3×C5×C4⋊C4—22no—
70C3×C5×C4⋊C4—22no—
71C3×C5×C4⋊C4—22no—
72C3×C5×C4⋊C4—22no—
73C3×C5×C4⋊C4—42no—
74C3×C5×C4⋊C4—42no—
75C3×C5×C22⋊C4—24no—
76C3×C5×C22⋊C4—24no—
77C3×C5×C22⋊C4—22no—
78C3×C5×C22⋊C4—22no—
79C3×C5×C22⋊C4—22no—
80C3×C5×C22⋊C4—42no—
81C3×C5×C22⋊C4—42no—
82C3×C5×C22⋊C4—42no—
83C3×C42×C5D414yescomplemented
84C2×C3×#126C2×C511yescharacteristic, complemented
85C2×C3×C4×D4C2×C511yescharacteristic, complemented
86C3×#400C2×C511yescharacteristic, complemented
87C3×#399C2×C511yescharacteristic, complemented
88C3×#396C2×C512yescomplemented
89C3×#394C2×C511yescharacteristic, complemented
90C3×#394C2×C512yescomplemented
91C3×#392C2×C511yescharacteristic
92C3×#386C2×C512yescomplemented
93C3×#385C2×C512yescomplemented
94C3×#382C2×C511yescharacteristic, complemented
95C22×C5×D4C22×C311yescharacteristic
96C22×C5×D4C22×C312yes—
97C23×C4×C5C22×C312yes—
98C5×#126—24no—
99C4×C5×D4—24no—
100C2×C5×C4⋊C4C22×C311yescharacteristic
101C2×C5×C4⋊C4C22×C311yescharacteristic
102C2×C5×C4⋊C4C22×C311yescharacteristic
103C2×C5×C4⋊C4C22×C311yescharacteristic
104C2×C5×C4⋊C4C22×C312yes—
105C2×C5×C4⋊C4C22×C312yes—
106C2×C5×C22⋊C4C22×C312yes—
107C2×C5×C22⋊C4C22×C311yescharacteristic
108C2×C5×C22⋊C4C22×C311yescharacteristic
109C2×C5×C22⋊C4C22×C311yescharacteristic
110C2×C5×C22⋊C4C22×C312yes—
111C2×C5×C22⋊C4C22×C312yes—
112C2×C5×C22⋊C4C22×C312yes—
113C2×C5×C22⋊C4C22×C312yes—
114C2×C42×C5C22×C311yescharacteristic
115C5×#95C22×C312yes—
116C5×#95C22×C311yescharacteristic
117C5×#95C22×C311yescharacteristic
118C5×#95C22×C312yes—
119C5×#95C22×C312yes—
120#2636C3×C511yescharacteristic, direct product factor, Sylow
121C23×C3×C5—22no—
122C23×C3×C5—22no—
123C23×C3×C5—22no—
124C23×C3×C5—22no—
125C23×C3×C5—22no—
126C23×C3×C5—22no—
127C23×C3×C5—21no—
128C23×C3×C5—22no—
129C23×C3×C5—22no—
130C23×C3×C5—21no—
131C23×C3×C5—21no—
132C23×C3×C5#4114yes—
133C23×C3×C5C2411yescharacteristic
134C3×C5×D4—28no—
135C3×C5×D4—48no—
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—21no—
142C2×C3×C4×C5—21no—
143C2×C3×C4×C5—22no—
144C2×C3×C4×C5—22no—
145C2×C3×C4×C5—22no—
146C2×C3×C4×C5—22no—
147C2×C3×C4×C5—21no—
148C2×C3×C4×C5—22no—
149C2×C3×C4×C5—22no—
150C2×C3×C4×C5—22no—
151C2×C3×C4×C5—22no—
152C2×C3×C4×C5—22no—
153C2×C3×C4×C5—22no—
154C2×C3×C4×C5—22no—
155C2×C3×C4×C5—21no—
156C2×C3×C4×C5—48no—
157C2×C3×C4×C5C2×D412yes—
158C2×C3×C4×C5C2×D412yes—
159C2×C3×C4×C5C2×D412yes—
160C22×C3×D4C22×C511yescharacteristic
161C22×C3×D4C22×C512yes—
162C23×C3×C4C22×C512yes—
163C3×#126—24no—
164C3×C4×D4—24no—
165C2×C3×C4⋊C4C22×C511yescharacteristic
166C2×C3×C4⋊C4C22×C511yescharacteristic
167C2×C3×C4⋊C4C22×C511yescharacteristic
168C2×C3×C4⋊C4C22×C511yescharacteristic
169C2×C3×C4⋊C4C22×C512yes—
170C2×C3×C4⋊C4C22×C512yes—
171C2×C3×C22⋊C4C22×C512yes—
172C2×C3×C22⋊C4C22×C511yescharacteristic
173C2×C3×C22⋊C4C22×C511yescharacteristic
174C2×C3×C22⋊C4C22×C511yescharacteristic
175C2×C3×C22⋊C4C22×C512yes—
176C2×C3×C22⋊C4C22×C512yes—
177C2×C3×C22⋊C4C22×C512yes—
178C2×C3×C22⋊C4C22×C512yes—
179C2×C3×C42C22×C511yescharacteristic
180C3×#95C22×C512yes—
181C3×#95C22×C511yescharacteristic
182C3×#95C22×C511yescharacteristic
183C3×#95C22×C512yes—
184C3×#95C22×C512yes—
185C24×C5C23×C311yescharacteristic
186C24×C5C23×C312yes—
187C2×C5×D4—24no—
188C2×C5×D4—24no—
189C2×C5×D4—22no—
190C2×C5×D4—42no—
191C2×C5×D4—42no—
192C22×C4×C5—24no—
193C22×C4×C5—42no—
194C22×C4×C5—42no—
195C22×C4×C5C23×C311yescharacteristic
196C22×C4×C5C23×C311yescharacteristic
197C22×C4×C5C23×C311yescharacteristic
198C22×C4×C5C23×C312yes—
199C22×C4×C5C23×C312yes—
200C22×C4×C5C23×C312yes—
201C22×C4×C5C23×C311yescharacteristic
202C22×C4×C5C23×C311yescharacteristic
203C22×C4×C5C23×C311yescharacteristic
204C5×C4⋊C4—22no—
205C5×C4⋊C4—22no—
206C5×C4⋊C4—22no—
207C5×C4⋊C4—22no—
208C5×C4⋊C4—42no—
209C5×C4⋊C4—42no—
210C5×C22⋊C4—24no—
211C5×C22⋊C4—24no—
212C5×C22⋊C4—22no—
213C5×C22⋊C4—22no—
214C5×C22⋊C4—22no—
215C5×C22⋊C4—42no—
216C5×C22⋊C4—42no—
217C5×C22⋊C4—42no—
218C42×C5C3×D414yescomplemented
219C2×#126C2×C3×C511yescharacteristic, complemented
220C2×C4×D4C2×C3×C511yescharacteristic, complemented
221#400C2×C3×C511yescharacteristic, complemented
222#399C2×C3×C511yescharacteristic, complemented
223#396C2×C3×C512yescomplemented
224#394C2×C3×C511yescharacteristic, complemented
225#394C2×C3×C512yescomplemented
226#392C2×C3×C511yescharacteristic
227#386C2×C3×C512yescomplemented
228#385C2×C3×C512yescomplemented
229#382C2×C3×C511yescharacteristic, complemented
230C22×C3×C5—24no—
231C22×C3×C5—24no—
232C22×C3×C5—24no—
233C22×C3×C5—42no—
234C22×C3×C5—42no—
235C22×C3×C5—42no—
236C22×C3×C5—42no—
237C22×C3×C5—41no—
238C22×C3×C5—41no—
239C22×C3×C5—41no—
240C22×C3×C5—42no—
241C22×C3×C5—42no—
242C22×C3×C5C22×D411yescharacteristic
243C22×C3×C5C2×#4112yes—
244C22×C3×C5H(5,𝔽2)12yes—
245C22×C3×C5H(5,𝔽2)11yescharacteristic
246C22×C3×C52−1+411yescharacteristic
247C3×C4×C5—22no—
248C3×C4×C5—22no—
249C3×C4×C5—22no—
250C3×C4×C5—41no—
251C3×C4×C5—41no—
252C3×C4×C5—42no—
253C3×C4×C5—41no—
254C3×C4×C5—42no—
255C3×C4×C5—42no—
256C24×C3C23×C511yescharacteristic
257C24×C3C23×C512yes—
258C2×C3×D4—24no—
259C2×C3×D4—24no—
260C2×C3×D4—22no—
261C2×C3×D4—42no—
262C2×C3×D4—42no—
263C22×C3×C4—24no—
264C22×C3×C4—42no—
265C22×C3×C4—42no—
266C22×C3×C4C23×C512yes—
267C22×C3×C4C23×C511yescharacteristic
268C22×C3×C4C23×C511yescharacteristic
269C22×C3×C4C23×C512yes—
270C22×C3×C4C23×C512yes—
271C22×C3×C4C23×C511yescharacteristic
272C22×C3×C4C23×C511yescharacteristic
273C22×C3×C4C23×C511yescharacteristic
274C22×C3×C4C23×C511yescharacteristic
275C3×C4⋊C4—22no—
276C3×C4⋊C4—22no—
277C3×C4⋊C4—22no—
278C3×C4⋊C4—22no—
279C3×C4⋊C4—42no—
280C3×C4⋊C4—42no—
281C3×C22⋊C4—24no—
282C3×C22⋊C4—24no—
283C3×C22⋊C4—22no—
284C3×C22⋊C4—22no—
285C3×C22⋊C4—22no—
286C3×C22⋊C4—42no—
287C3×C22⋊C4—42no—
288C3×C22⋊C4—42no—
289C3×C42C5×D414yescomplemented
290C23×C5—22no—
291C23×C5—22no—
292C23×C5—22no—
293C23×C5—22no—
294C23×C5—22no—
295C23×C5—22no—
296C23×C5—21no—
297C23×C5—22no—
298C23×C5—22no—
299C23×C5—21no—
300C23×C5—21no—
301C23×C5C3×#4114yes—
302C23×C5C24×C311yescharacteristic
303C5×D4—28no—
304C5×D4—48no—
305C2×C4×C5—22no—
306C2×C4×C5—21no—
307C2×C4×C5—22no—
308C2×C4×C5—21no—
309C2×C4×C5—21no—
310C2×C4×C5—21no—
311C2×C4×C5—21no—
312C2×C4×C5—22no—
313C2×C4×C5—22no—
314C2×C4×C5—22no—
315C2×C4×C5—22no—
316C2×C4×C5—21no—
317C2×C4×C5—22no—
318C2×C4×C5—22no—
319C2×C4×C5—22no—
320C2×C4×C5—22no—
321C2×C4×C5—22no—
322C2×C4×C5—22no—
323C2×C4×C5—22no—
324C2×C4×C5—21no—
325C2×C4×C5—48no—
326C2×C4×C5C2×C3×D412yes—
327C2×C4×C5C2×C3×D412yes—
328C2×C4×C5C2×C3×D412yes—
329C22×D4C22×C3×C511yescharacteristic
330C22×D4C22×C3×C512yes—
331C23×C4C22×C3×C512yes—
332#126—24no—
333C4×D4—24no—
334C2×C4⋊C4C22×C3×C511yescharacteristic
335C2×C4⋊C4C22×C3×C511yescharacteristic
336C2×C4⋊C4C22×C3×C511yescharacteristic
337C2×C4⋊C4C22×C3×C511yescharacteristic
338C2×C4⋊C4C22×C3×C512yes—
339C2×C4⋊C4C22×C3×C512yes—
340C2×C22⋊C4C22×C3×C512yes—
341C2×C22⋊C4C22×C3×C511yescharacteristic
342C2×C22⋊C4C22×C3×C511yescharacteristic
343C2×C22⋊C4C22×C3×C511yescharacteristic
344C2×C22⋊C4C22×C3×C512yes—
345C2×C22⋊C4C22×C3×C512yes—
346C2×C22⋊C4C22×C3×C512yes—
347C2×C22⋊C4C22×C3×C512yes—
348C2×C42C22×C3×C511yescharacteristic
349#95C22×C3×C512yes—
350#95C22×C3×C511yescharacteristic
351#95C22×C3×C511yescharacteristic
352#95C22×C3×C512yes—
353#95C22×C3×C512yes—
354C2×C3×C5—44no—
355C2×C3×C5—81no—
356C2×C3×C5#52511yescharacteristic
357C2×C3×C5#53511yescharacteristic
358C2×C3×C5#53711yescharacteristic
359C2×C3×C5#53812yes—
360C2×C3×C5#53912yes—
361C23×C3—22no—
362C23×C3—22no—
363C23×C3—22no—
364C23×C3—22no—
365C23×C3—22no—
366C23×C3—22no—
367C23×C3—21no—
368C23×C3—22no—
369C23×C3—22no—
370C23×C3—21no—
371C23×C3—21no—
372C23×C3C5×#4114yes—
373C23×C3C24×C511yescharacteristic
374C3×D4—28no—
375C3×D4—48no—
376C2×C3×C4—22no—
377C2×C3×C4—21no—
378C2×C3×C4—22no—
379C2×C3×C4—21no—
380C2×C3×C4—21no—
381C2×C3×C4—21no—
382C2×C3×C4—21no—
383C2×C3×C4—22no—
384C2×C3×C4—22no—
385C2×C3×C4—22no—
386C2×C3×C4—22no—
387C2×C3×C4—21no—
388C2×C3×C4—22no—
389C2×C3×C4—22no—
390C2×C3×C4—22no—
391C2×C3×C4—22no—
392C2×C3×C4—22no—
393C2×C3×C4—22no—
394C2×C3×C4—22no—
395C2×C3×C4—21no—
396C2×C3×C4—48no—
397C2×C3×C4C2×C5×D412yes—
398C2×C3×C4C2×C5×D412yes—
399C2×C3×C4C2×C5×D412yes—
400C22×C5—24no—
401C22×C5—24no—
402C22×C5—24no—
403C22×C5—42no—
404C22×C5—42no—
405C22×C5—42no—
406C22×C5—42no—
407C22×C5—41no—
408C22×C5—41no—
409C22×C5—41no—
410C22×C5—42no—
411C22×C5—42no—
412C22×C5C22×C3×D411yescharacteristic
413C22×C5C2×C3×#4112yes—
414C22×C5C3×H(5,𝔽2)12yes—
415C22×C5C3×H(5,𝔽2)11yescharacteristic
416C22×C5C3×2−1+411yescharacteristic
417C4×C5—22no—
418C4×C5—22no—
419C4×C5—22no—
420C4×C5—41no—
421C4×C5—41no—
422C4×C5—42no—
423C4×C5—41no—
424C4×C5—42no—
425C4×C5—42no—
426C24C23×C3×C511yescharacteristic
427C24C23×C3×C512yes—
428C2×D4—24no—
429C2×D4—24no—
430C2×D4—22no—
431C2×D4—42no—
432C2×D4—42no—
433C22×C4—24no—
434C22×C4—42no—
435C22×C4—42no—
436C22×C4C23×C3×C512yes—
437C22×C4C23×C3×C511yescharacteristic
438C22×C4C23×C3×C511yescharacteristic
439C22×C4C23×C3×C512yes—
440C22×C4C23×C3×C512yes—
441C22×C4C23×C3×C511yescharacteristic
442C22×C4C23×C3×C511yescharacteristic
443C22×C4C23×C3×C511yescharacteristic
444C22×C4C23×C3×C511yescharacteristic
445C4⋊C4—22no—
446C4⋊C4—22no—
447C4⋊C4—22no—
448C4⋊C4—22no—
449C4⋊C4—42no—
450C4⋊C4—42no—
451C22⋊C4—24no—
452C22⋊C4—24no—
453C22⋊C4—22no—
454C22⋊C4—22no—
455C22⋊C4—22no—
456C22⋊C4—42no—
457C22⋊C4—42no—
458C22⋊C4—42no—
459C42C3×C5×D414yescomplemented
460C3×C5#263611yescharacteristic, direct product factor, Hall
461C22×C3—24no—
462C22×C3—24no—
463C22×C3—24no—
464C22×C3—42no—
465C22×C3—42no—
466C22×C3—42no—
467C22×C3—42no—
468C22×C3—41no—
469C22×C3—41no—
470C22×C3—41no—
471C22×C3—42no—
472C22×C3—42no—
473C22×C3C22×C5×D411yescharacteristic
474C22×C3C2×C5×#4112yes—
475C22×C3C5×H(5,𝔽2)12yes—
476C22×C3C5×H(5,𝔽2)11yescharacteristic
477C22×C3C5×2−1+411yescharacteristic
478C3×C4—22no—
479C3×C4—22no—
480C3×C4—22no—
481C3×C4—41no—
482C3×C4—41no—
483C3×C4—42no—
484C3×C4—41no—
485C3×C4—42no—
486C3×C4—42no—
487C2×C5—44no—
488C2×C5—81no—
489C2×C5C3×#52511yescharacteristic
490C2×C5C3×#53511yescharacteristic
491C2×C5C3×#53711yescharacteristic
492C2×C5C3×#53812yes—
493C2×C5C3×#53912yes—
494C23—22no—
495C23—22no—
496C23—22no—
497C23—22no—
498C23—22no—
499C23—22no—
500C23—21no—
501C23—22no—
502C23—22no—
503C23—21no—
504C23—21no—
505C23C3×C5×#4114yes—
506C23C24×C3×C511yescharacteristic
507D4—28no—
508D4—48no—
509C2×C4—22no—
510C2×C4—21no—
511C2×C4—22no—
512C2×C4—21no—
513C2×C4—21no—
514C2×C4—21no—
515C2×C4—21no—
516C2×C4—22no—
517C2×C4—22no—
518C2×C4—22no—
519C2×C4—22no—
520C2×C4—21no—
521C2×C4—22no—
522C2×C4—22no—
523C2×C4—22no—
524C2×C4—22no—
525C2×C4—22no—
526C2×C4—22no—
527C2×C4—22no—
528C2×C4—21no—
529C2×C4—48no—
530C2×C4C2×C3×C5×D412yes—
531C2×C4C2×C3×C5×D412yes—
532C2×C4C2×C3×C5×D412yes—
533C2×C3—44no—
534C2×C3—81no—
535C2×C3C5×#52511yescharacteristic
536C2×C3C5×#53511yescharacteristic
537C2×C3C5×#53711yescharacteristic
538C2×C3C5×#53812yes—
539C2×C3C5×#53912yes—
540C5C3×#263611yescharacteristic, direct product factor, Sylow
541C22—24no—
542C22—24no—
543C22—24no—
544C22—42no—
545C22—42no—
546C22—42no—
547C22—42no—
548C22—41no—
549C22—41no—
550C22—41no—
551C22—42no—
552C22—42no—
553C22C22×C3×C5×D411yescharacteristic
554C22C2×C3×C5×#4112yes—
555C22C3×C5×H(5,𝔽2)12yes—
556C22C3×C5×H(5,𝔽2)11yescharacteristic
557C22C3×C5×2−1+411yescharacteristic
558C4—22no—
559C4—22no—
560C4—22no—
561C4—41no—
562C4—42no—
563C4—41no—
564C4—41no—
565C4—42no—
566C4—42no—
567C3C5×#263611yescharacteristic, direct product factor, Sylow
568C2—44no—
569C2—81no—
570C2C3×C5×#52511yescharacteristic
571C2C3×C5×#53511yescharacteristic
572C2C3×C5×#53711yescharacteristic
573C2C3×C5×#53812yes—
574C2C3×C5×#53912yes—
subgroupG/H
center, socleC23×C3×C5C24
commutator, Frattini, cosocleC23C24×C3×C5
prime radicalC3×C5×#392C2
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×#126C2semidirect
2. C2×C3×C4×C5×D4C2semidirect
3. C3×C5×#400C2semidirect
4. C3×C5×#399C2semidirect
5. C3×C5×#396C2semidirect
6. C3×C5×#394C2semidirect
7. C3×C5×#394C2semidirect
9. C3×C5×#386C2semidirect
10. C3×C5×#385C2semidirect
11. C3×C5×#382C2semidirect
12. C5×#2636C3direct (N × H)
38. C3×#2636C5direct (N × H)
39. C2×C5×#126C2×C3semidirect
40. C2×C4×C5×D4C2×C3semidirect
41. C5×#400C2×C3semidirect
42. C5×#399C2×C3semidirect
43. C5×#396C2×C3semidirect
44. C5×#394C2×C3semidirect
45. C5×#394C2×C3semidirect
47. C5×#386C2×C3semidirect
48. C5×#385C2×C3semidirect
49. C5×#382C2×C3semidirect
83. C3×C42×C5D4semidirect
84. C2×C3×#126C2×C5semidirect
85. C2×C3×C4×D4C2×C5semidirect
86. C3×#400C2×C5semidirect
87. C3×#399C2×C5semidirect
88. C3×#396C2×C5semidirect
89. C3×#394C2×C5semidirect
90. C3×#394C2×C5semidirect
92. C3×#386C2×C5semidirect
93. C3×#385C2×C5semidirect
94. C3×#382C2×C5semidirect
120. #2636C3×C5direct (N × H)
218. C42×C5C3×D4semidirect
219. C2×#126C2×C3×C5semidirect
220. C2×C4×D4C2×C3×C5semidirect
221. #400C2×C3×C5semidirect
222. #399C2×C3×C5semidirect
223. #396C2×C3×C5semidirect
224. #394C2×C3×C5semidirect
225. #394C2×C3×C5semidirect
227. #386C2×C3×C5semidirect
228. #385C2×C3×C5semidirect
229. #382C2×C3×C5semidirect
289. C3×C42C5×D4semidirect
459. C42C3×C5×D4semidirect
460. C3×C5#2636direct (N × H)
540. C5C3×#2636direct (N × H)
567. C3C5×#2636direct (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×#1262
C2×C3×C4×C5×D42
C3×C5×#4002
C3×C5×#3992
C3×C5×#3962
C3×C5×#3942
C3×C5×#3922
C3×C5×#3862
C3×C5×#3852
C3×C5×#3822
C5×#26363
C3×#26365