Finite Group Databasebeta

← C3×C5×#2405 #14275439

Subgroups — C3×C5×#2405 #14275439

Order 1920.

2232 conjugacy classes of subgroups.

The subgroup lattice has 572 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C3×C5×D4C211yesmaximal, characteristic
2C2×C3×C5×#123C212yesmaximal, complemented
3C22×C3×C5×C22⋊C4C211yesmaximal, characteristic, complemented
4C3×C5×#394C214yesmaximal, complemented
5C3×C5×#386C212yesmaximal, complemented
6C3×C5×#385C212yesmaximal, complemented
7C3×C5×#379C212yesmaximal, complemented
8C3×C5×#379C211yesmaximal, characteristic, complemented
9C5×#2405C311yesmaximal, characteristic, direct product factor, Hall
10C25×C3×C5C2211yescharacteristic
11C25×C3×C5C2211yescharacteristic
12C22×C3×C5×D4—24no—
13C22×C3×C5×D4—28no—
14C22×C3×C5×D4C2212yes—
15C22×C3×C5×D4C2212yes—
16C23×C3×C4×C5C2211yescharacteristic
17C23×C3×C4×C5C2211yescharacteristic, complemented
18C23×C3×C4×C5C2211yescharacteristic, complemented
19C3×C5×#123—28no—
20C2×C3×C5×C4⋊C4C2214yescomplemented
21C2×C3×C5×C22⋊C4—24no—
22C2×C3×C5×C22⋊C4C2212yes—
23C2×C3×C5×C22⋊C4C2212yes—
24C2×C3×C5×C22⋊C4C2212yescomplemented
25C2×C3×C5×C22⋊C4C2212yescomplemented
26C2×C3×C5×C22⋊C4C2214yescomplemented
27C2×C3×C5×C22⋊C4C2214yescomplemented
28C2×C3×C5×C22⋊C4C2212yescomplemented
29C3×C5×#95C2214yescomplemented
30C3×#2405C511yesmaximal, characteristic, direct product factor, Hall
31C23×C5×D4C2×C311yescharacteristic
32C2×C5×#123C2×C312yescomplemented
33C22×C5×C22⋊C4C2×C311yescharacteristic, complemented
34C5×#394C2×C314yescomplemented
35C5×#386C2×C312yescomplemented
36C5×#385C2×C312yescomplemented
37C5×#379C2×C311yescharacteristic, complemented
38C5×#379C2×C312yescomplemented
39C24×C3×C5—24no—
40C24×C3×C5—24no—
41C24×C3×C5—22no—
42C24×C3×C5—24no—
43C24×C3×C5—24no—
44C24×C3×C5—42no—
45C24×C3×C5—42no—
46C24×C3×C5D414yes—
47C24×C3×C5C2311yescharacteristic
48C24×C3×C5C2312yes—
49C24×C3×C5C2311yescharacteristic
50C24×C3×C5C2311yescharacteristic
51C2×C3×C5×D4—232no—
52C2×C3×C5×D4—24no—
53C2×C3×C5×D4—24no—
54C2×C3×C5×D4—24no—
55C2×C3×C5×D4—24no—
56C2×C3×C5×D4—24no—
57C2×C3×C5×D4D418yes—
58C22×C3×C4×C5—22no—
59C22×C3×C4×C5—24no—
60C22×C3×C4×C5—22no—
61C22×C3×C4×C5—22no—
62C22×C3×C4×C5—24no—
63C22×C3×C4×C5—42no—
64C22×C3×C4×C5C2314yes—
65C22×C3×C4×C5C2312yes—
66C22×C3×C4×C5C2312yes—
67C22×C3×C4×C5C2312yes—
68C3×C5×C4⋊C4—28no—
69C3×C5×C22⋊C4—24no—
70C3×C5×C22⋊C4—24no—
71C3×C5×C22⋊C4—24no—
72C3×C5×C22⋊C4—28no—
73C3×C5×C22⋊C4—24no—
74C3×C5×C22⋊C4—42no—
75C3×C5×C22⋊C4—44no—
76C23×C3×D4C2×C511yescharacteristic
77C2×C3×#123C2×C512yescomplemented
78C22×C3×C22⋊C4C2×C511yescharacteristic, complemented
79C3×#394C2×C514yescomplemented
80C3×#386C2×C512yescomplemented
81C3×#385C2×C512yescomplemented
82C3×#379C2×C512yescomplemented
83C3×#379C2×C511yescharacteristic, complemented
84C25×C5C22×C311yescharacteristic
85C25×C5C22×C311yescharacteristic
86C22×C5×D4—24no—
87C22×C5×D4—28no—
88C22×C5×D4C22×C312yes—
89C22×C5×D4C22×C312yes—
90C23×C4×C5C22×C311yescharacteristic
91C23×C4×C5C22×C311yescharacteristic, complemented
92C23×C4×C5C22×C311yescharacteristic, complemented
93C5×#123—28no—
94C2×C5×C4⋊C4C22×C314yescomplemented
95C2×C5×C22⋊C4—24no—
96C2×C5×C22⋊C4C22×C312yes—
97C2×C5×C22⋊C4C22×C312yes—
98C2×C5×C22⋊C4C22×C312yescomplemented
99C2×C5×C22⋊C4C22×C314yescomplemented
100C2×C5×C22⋊C4C22×C312yescomplemented
101C2×C5×C22⋊C4C22×C314yescomplemented
102C2×C5×C22⋊C4C22×C312yescomplemented
103C5×#95C22×C314yescomplemented
104#2405C3×C511yescharacteristic, direct product factor, Sylow
105C23×C3×C5—22no—
106C23×C3×C5—22no—
107C23×C3×C5—22no—
108C23×C3×C5—22no—
109C23×C3×C5—28no—
110C23×C3×C5—28no—
111C23×C3×C5—28no—
112C23×C3×C5—22no—
113C23×C3×C5—22no—
114C23×C3×C5—22no—
115C23×C3×C5—22no—
116C23×C3×C5—24no—
117C23×C3×C5—22no—
118C23×C3×C5—24no—
119C23×C3×C5—44no—
120C23×C3×C5—416no—
121C23×C3×C5—416no—
122C23×C3×C5—44no—
123C23×C3×C5—44no—
124C23×C3×C5C2×D412yes—
125C23×C3×C5C2×D414yes—
126C23×C3×C5C2×D414yes—
127C23×C3×C5C2×D412yes—
128C23×C3×C5C2×D412yes—
129C23×C3×C5#4114yes—
130C23×C3×C5C2411yescharacteristic
131C3×C5×D4—216no—
132C3×C5×D4—216no—
133C2×C3×C4×C5—28no—
134C2×C3×C4×C5—22no—
135C2×C3×C4×C5—22no—
136C2×C3×C4×C5—24no—
137C2×C3×C4×C5—22no—
138C2×C3×C4×C5—22no—
139C2×C3×C4×C5—24no—
140C2×C3×C4×C5—24no—
141C2×C3×C4×C5—24no—
142C2×C3×C4×C5—24no—
143C2×C3×C4×C5—44no—
144C2×C3×C4×C5—44no—
145C2×C3×C4×C5C2×D414yes—
146C25×C3C22×C511yescharacteristic
147C25×C3C22×C511yescharacteristic
148C22×C3×D4—24no—
149C22×C3×D4—28no—
150C22×C3×D4C22×C512yes—
151C22×C3×D4C22×C512yes—
152C23×C3×C4C22×C511yescharacteristic
153C23×C3×C4C22×C511yescharacteristic, complemented
154C23×C3×C4C22×C511yescharacteristic, complemented
155C3×#123—28no—
156C2×C3×C4⋊C4C22×C514yescomplemented
157C2×C3×C22⋊C4—24no—
158C2×C3×C22⋊C4C22×C512yes—
159C2×C3×C22⋊C4C22×C512yes—
160C2×C3×C22⋊C4C22×C512yescomplemented
161C2×C3×C22⋊C4C22×C514yescomplemented
162C2×C3×C22⋊C4C22×C512yescomplemented
163C2×C3×C22⋊C4C22×C514yescomplemented
164C2×C3×C22⋊C4C22×C512yescomplemented
165C3×#95C22×C514yescomplemented
166C24×C5—24no—
167C24×C5—24no—
168C24×C5—22no—
169C24×C5—24no—
170C24×C5—24no—
171C24×C5—42no—
172C24×C5—42no—
173C24×C5C3×D414yes—
174C24×C5C23×C311yescharacteristic
175C24×C5C23×C312yes—
176C24×C5C23×C311yescharacteristic
177C24×C5C23×C311yescharacteristic
178C2×C5×D4—232no—
179C2×C5×D4—24no—
180C2×C5×D4—24no—
181C2×C5×D4—24no—
182C2×C5×D4—24no—
183C2×C5×D4—24no—
184C2×C5×D4C3×D418yes—
185C22×C4×C5—22no—
186C22×C4×C5—24no—
187C22×C4×C5—22no—
188C22×C4×C5—22no—
189C22×C4×C5—24no—
190C22×C4×C5—42no—
191C22×C4×C5C23×C314yes—
192C22×C4×C5C23×C312yes—
193C22×C4×C5C23×C312yes—
194C22×C4×C5C23×C312yes—
195C5×C4⋊C4—28no—
196C5×C22⋊C4—24no—
197C5×C22⋊C4—24no—
198C5×C22⋊C4—24no—
199C5×C22⋊C4—28no—
200C5×C22⋊C4—24no—
201C5×C22⋊C4—42no—
202C5×C22⋊C4—44no—
203C23×D4C2×C3×C511yescharacteristic
204C2×#123C2×C3×C512yescomplemented
205C22×C22⋊C4C2×C3×C511yescharacteristic, complemented
206#394C2×C3×C514yescomplemented
207#386C2×C3×C512yescomplemented
208#385C2×C3×C512yescomplemented
209#379C2×C3×C512yescomplemented
210#379C2×C3×C511yescharacteristic, complemented
211C22×C3×C5—22no—
212C22×C3×C5—22no—
213C22×C3×C5—22no—
214C22×C3×C5—22no—
215C22×C3×C5—28no—
216C22×C3×C5—28no—
217C22×C3×C5—22no—
218C22×C3×C5—24no—
219C22×C3×C5—22no—
220C22×C3×C5—22no—
221C22×C3×C5—28no—
222C22×C3×C5—416no—
223C22×C3×C5—416no—
224C22×C3×C5—42no—
225C22×C3×C5—42no—
226C22×C3×C5—44no—
227C22×C3×C5—44no—
228C22×C3×C5#12014yes—
229C22×C3×C5#12314yescomplemented
230C22×C3×C5C22×D411yescharacteristic
231C22×C3×C5C22×D412yes—
232C22×C3×C5C2×#4112yes—
233C22×C3×C5H(5,𝔽2)12yes—
234C3×C4×C5—24no—
235C3×C4×C5—42no—
236C3×C4×C5—42no—
237C3×C4×C5—44no—
238C24×C3—24no—
239C24×C3—24no—
240C24×C3—22no—
241C24×C3—24no—
242C24×C3—24no—
243C24×C3—42no—
244C24×C3—42no—
245C24×C3C5×D414yes—
246C24×C3C23×C511yescharacteristic
247C24×C3C23×C512yes—
248C24×C3C23×C511yescharacteristic
249C24×C3C23×C511yescharacteristic
250C2×C3×D4—232no—
251C2×C3×D4—24no—
252C2×C3×D4—24no—
253C2×C3×D4—24no—
254C2×C3×D4—24no—
255C2×C3×D4—24no—
256C2×C3×D4C5×D418yes—
257C22×C3×C4—22no—
258C22×C3×C4—24no—
259C22×C3×C4—22no—
260C22×C3×C4—22no—
261C22×C3×C4—24no—
262C22×C3×C4—42no—
263C22×C3×C4C23×C512yes—
264C22×C3×C4C23×C514yes—
265C22×C3×C4C23×C512yes—
266C22×C3×C4C23×C512yes—
267C3×C4⋊C4—28no—
268C3×C22⋊C4—24no—
269C3×C22⋊C4—24no—
270C3×C22⋊C4—24no—
271C3×C22⋊C4—28no—
272C3×C22⋊C4—24no—
273C3×C22⋊C4—42no—
274C3×C22⋊C4—44no—
275C23×C5—22no—
276C23×C5—22no—
277C23×C5—22no—
278C23×C5—22no—
279C23×C5—28no—
280C23×C5—28no—
281C23×C5—28no—
282C23×C5—22no—
283C23×C5—22no—
284C23×C5—22no—
285C23×C5—22no—
286C23×C5—24no—
287C23×C5—22no—
288C23×C5—24no—
289C23×C5—44no—
290C23×C5—416no—
291C23×C5—416no—
292C23×C5—44no—
293C23×C5—44no—
294C23×C5C2×C3×D412yes—
295C23×C5C2×C3×D414yes—
296C23×C5C2×C3×D414yes—
297C23×C5C2×C3×D412yes—
298C23×C5C2×C3×D412yes—
299C23×C5C3×#4114yes—
300C23×C5C24×C311yescharacteristic
301C5×D4—216no—
302C5×D4—216no—
303C2×C4×C5—28no—
304C2×C4×C5—22no—
305C2×C4×C5—22no—
306C2×C4×C5—24no—
307C2×C4×C5—22no—
308C2×C4×C5—22no—
309C2×C4×C5—24no—
310C2×C4×C5—24no—
311C2×C4×C5—24no—
312C2×C4×C5—24no—
313C2×C4×C5—44no—
314C2×C4×C5—44no—
315C2×C4×C5C2×C3×D414yes—
316C25C22×C3×C511yescharacteristic
317C25C22×C3×C511yescharacteristic
318C22×D4—24no—
319C22×D4—28no—
320C22×D4C22×C3×C512yes—
321C22×D4C22×C3×C512yes—
322C23×C4C22×C3×C511yescharacteristic
323C23×C4C22×C3×C511yescharacteristic, complemented
324C23×C4C22×C3×C511yescharacteristic, complemented
325#123—28no—
326C2×C4⋊C4C22×C3×C514yescomplemented
327C2×C22⋊C4—24no—
328C2×C22⋊C4C22×C3×C512yes—
329C2×C22⋊C4C22×C3×C512yes—
330C2×C22⋊C4C22×C3×C512yescomplemented
331C2×C22⋊C4C22×C3×C512yescomplemented
332C2×C22⋊C4C22×C3×C514yescomplemented
333C2×C22⋊C4C22×C3×C514yescomplemented
334C2×C22⋊C4C22×C3×C512yescomplemented
335#95C22×C3×C514yescomplemented
336C2×C3×C5—24no—
337C2×C3×C5—24no—
338C2×C3×C5—42no—
339C2×C3×C5—44no—
340C2×C3×C5C2×#12011yescharacteristic
341C2×C3×C5C2×#12311yescharacteristic
342C2×C3×C5#53411yescharacteristic
343C2×C3×C5#54614yes—
344C23×C3—22no—
345C23×C3—22no—
346C23×C3—22no—
347C23×C3—22no—
348C23×C3—28no—
349C23×C3—28no—
350C23×C3—28no—
351C23×C3—22no—
352C23×C3—22no—
353C23×C3—22no—
354C23×C3—22no—
355C23×C3—24no—
356C23×C3—22no—
357C23×C3—24no—
358C23×C3—44no—
359C23×C3—416no—
360C23×C3—416no—
361C23×C3—44no—
362C23×C3—44no—
363C23×C3C2×C5×D412yes—
364C23×C3C2×C5×D414yes—
365C23×C3C2×C5×D414yes—
366C23×C3C2×C5×D412yes—
367C23×C3C2×C5×D412yes—
368C23×C3C5×#4114yes—
369C23×C3C24×C511yescharacteristic
370C3×D4—216no—
371C3×D4—216no—
372C2×C3×C4—28no—
373C2×C3×C4—22no—
374C2×C3×C4—22no—
375C2×C3×C4—24no—
376C2×C3×C4—22no—
377C2×C3×C4—22no—
378C2×C3×C4—24no—
379C2×C3×C4—24no—
380C2×C3×C4—24no—
381C2×C3×C4—24no—
382C2×C3×C4—44no—
383C2×C3×C4—44no—
384C2×C3×C4C2×C5×D414yes—
385C22×C5—22no—
386C22×C5—22no—
387C22×C5—22no—
388C22×C5—22no—
389C22×C5—28no—
390C22×C5—28no—
391C22×C5—22no—
392C22×C5—24no—
393C22×C5—22no—
394C22×C5—22no—
395C22×C5—28no—
396C22×C5—416no—
397C22×C5—416no—
398C22×C5—42no—
399C22×C5—42no—
400C22×C5—44no—
401C22×C5—44no—
402C22×C5C3×#12014yes—
403C22×C5C3×#12314yescomplemented
404C22×C5C22×C3×D411yescharacteristic
405C22×C5C22×C3×D412yes—
406C22×C5C2×C3×#4112yes—
407C22×C5C3×H(5,𝔽2)12yes—
408C4×C5—24no—
409C4×C5—42no—
410C4×C5—42no—
411C4×C5—44no—
412C24—24no—
413C24—24no—
414C24—22no—
415C24—24no—
416C24—24no—
417C24—42no—
418C24—42no—
419C24C3×C5×D414yes—
420C24C23×C3×C511yescharacteristic
421C24C23×C3×C512yes—
422C24C23×C3×C511yescharacteristic
423C24C23×C3×C511yescharacteristic
424C2×D4—232no—
425C2×D4—24no—
426C2×D4—24no—
427C2×D4—24no—
428C2×D4—24no—
429C2×D4—24no—
430C2×D4C3×C5×D418yes—
431C22×C4—22no—
432C22×C4—24no—
433C22×C4—22no—
434C22×C4—22no—
435C22×C4—24no—
436C22×C4—42no—
437C22×C4C23×C3×C512yes—
438C22×C4C23×C3×C514yes—
439C22×C4C23×C3×C512yes—
440C22×C4C23×C3×C512yes—
441C4⋊C4—28no—
442C22⋊C4—24no—
443C22⋊C4—24no—
444C22⋊C4—24no—
445C22⋊C4—28no—
446C22⋊C4—24no—
447C22⋊C4—42no—
448C22⋊C4—44no—
449C3×C5#240511yescharacteristic, direct product factor, Hall
450C22×C3—22no—
451C22×C3—22no—
452C22×C3—22no—
453C22×C3—22no—
454C22×C3—28no—
455C22×C3—28no—
456C22×C3—22no—
457C22×C3—24no—
458C22×C3—22no—
459C22×C3—22no—
460C22×C3—28no—
461C22×C3—416no—
462C22×C3—416no—
463C22×C3—42no—
464C22×C3—42no—
465C22×C3—44no—
466C22×C3—44no—
467C22×C3C5×#12014yes—
468C22×C3C5×#12314yescomplemented
469C22×C3C22×C5×D411yescharacteristic
470C22×C3C22×C5×D412yes—
471C22×C3C2×C5×#4112yes—
472C22×C3C5×H(5,𝔽2)12yes—
473C3×C4—24no—
474C3×C4—42no—
475C3×C4—42no—
476C3×C4—44no—
477C2×C5—24no—
478C2×C5—24no—
479C2×C5—42no—
480C2×C5—44no—
481C2×C5C2×C3×#12011yescharacteristic
482C2×C5C2×C3×#12311yescharacteristic
483C2×C5C3×#53411yescharacteristic
484C2×C5C3×#54614yes—
485C23—22no—
486C23—22no—
487C23—22no—
488C23—22no—
489C23—28no—
490C23—28no—
491C23—22no—
492C23—22no—
493C23—22no—
494C23—22no—
495C23—24no—
496C23—28no—
497C23—22no—
498C23—24no—
499C23—44no—
500C23—416no—
501C23—416no—
502C23—44no—
503C23—44no—
504C23C2×C3×C5×D412yes—
505C23C2×C3×C5×D414yes—
506C23C2×C3×C5×D414yes—
507C23C2×C3×C5×D412yes—
508C23C2×C3×C5×D412yes—
509C23C3×C5×#4114yes—
510C23C24×C3×C511yescharacteristic
511D4—216no—
512D4—216no—
513C2×C4—28no—
514C2×C4—22no—
515C2×C4—22no—
516C2×C4—24no—
517C2×C4—22no—
518C2×C4—22no—
519C2×C4—24no—
520C2×C4—24no—
521C2×C4—24no—
522C2×C4—24no—
523C2×C4—44no—
524C2×C4—44no—
525C2×C4C2×C3×C5×D414yes—
526C2×C3—24no—
527C2×C3—24no—
528C2×C3—42no—
529C2×C3—44no—
530C2×C3C2×C5×#12011yescharacteristic
531C2×C3C2×C5×#12311yescharacteristic
532C2×C3C5×#53411yescharacteristic
533C2×C3C5×#54614yes—
534C5C3×#240511yescharacteristic, direct product factor, Sylow
535C22—22no—
536C22—22no—
537C22—22no—
538C22—22no—
539C22—28no—
540C22—28no—
541C22—22no—
542C22—24no—
543C22—22no—
544C22—22no—
545C22—28no—
546C22—416no—
547C22—416no—
548C22—42no—
549C22—42no—
550C22—44no—
551C22—44no—
552C22C3×C5×#12014yes—
553C22C3×C5×#12314yescomplemented
554C22C22×C3×C5×D411yescharacteristic
555C22C22×C3×C5×D412yes—
556C22C2×C3×C5×#4112yes—
557C22C3×C5×H(5,𝔽2)12yes—
558C4—24no—
559C4—42no—
560C4—42no—
561C4—44no—
562C3C5×#240511yescharacteristic, direct product factor, Sylow
563C2—24no—
564C2—24no—
565C2—42no—
566C2—44no—
567C2C2×C3×C5×#12011yescharacteristic
568C2C2×C3×C5×#12311yescharacteristic
569C2C3×C5×#53411yescharacteristic
570C2C3×C5×#54614yes—
subgroupG/H
center, socleC23×C3×C5C24
commutator, Frattini, cosocleC23C24×C3×C5
prime radicalC23×C3×C5×D4C2
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×C5×#123C2semidirect
3. C22×C3×C5×C22⋊C4C2semidirect
4. C3×C5×#394C2semidirect
5. C3×C5×#386C2semidirect
6. C3×C5×#385C2semidirect
7. C3×C5×#379C2semidirect
8. C3×C5×#379C2semidirect
9. C5×#2405C3direct (N × H)
17. C23×C3×C4×C5C22semidirect
18. C23×C3×C4×C5C22semidirect
20. C2×C3×C5×C4⋊C4C22semidirect
24. C2×C3×C5×C22⋊C4C22semidirect
25. C2×C3×C5×C22⋊C4C22semidirect
26. C2×C3×C5×C22⋊C4C22semidirect
27. C2×C3×C5×C22⋊C4C22semidirect
28. C2×C3×C5×C22⋊C4C22semidirect
29. C3×C5×#95C22semidirect
30. C3×#2405C5direct (N × H)
32. C2×C5×#123C2×C3semidirect
33. C22×C5×C22⋊C4C2×C3semidirect
34. C5×#394C2×C3semidirect
35. C5×#386C2×C3semidirect
36. C5×#385C2×C3semidirect
37. C5×#379C2×C3semidirect
38. C5×#379C2×C3semidirect
77. C2×C3×#123C2×C5semidirect
78. C22×C3×C22⋊C4C2×C5semidirect
79. C3×#394C2×C5semidirect
80. C3×#386C2×C5semidirect
81. C3×#385C2×C5semidirect
82. C3×#379C2×C5semidirect
83. C3×#379C2×C5semidirect
91. C23×C4×C5C22×C3semidirect
92. C23×C4×C5C22×C3semidirect
94. C2×C5×C4⋊C4C22×C3semidirect
98. C2×C5×C22⋊C4C22×C3semidirect
99. C2×C5×C22⋊C4C22×C3semidirect
100. C2×C5×C22⋊C4C22×C3semidirect
101. C2×C5×C22⋊C4C22×C3semidirect
102. C2×C5×C22⋊C4C22×C3semidirect
103. C5×#95C22×C3semidirect
104. #2405C3×C5direct (N × H)
153. C23×C3×C4C22×C5semidirect
154. C23×C3×C4C22×C5semidirect
156. C2×C3×C4⋊C4C22×C5semidirect
160. C2×C3×C22⋊C4C22×C5semidirect
161. C2×C3×C22⋊C4C22×C5semidirect
162. C2×C3×C22⋊C4C22×C5semidirect
163. C2×C3×C22⋊C4C22×C5semidirect
164. C2×C3×C22⋊C4C22×C5semidirect
165. C3×#95C22×C5semidirect
204. C2×#123C2×C3×C5semidirect
205. C22×C22⋊C4C2×C3×C5semidirect
206. #394C2×C3×C5semidirect
207. #386C2×C3×C5semidirect
208. #385C2×C3×C5semidirect
209. #379C2×C3×C5semidirect
210. #379C2×C3×C5semidirect
229. C22×C3×C5#123semidirect
323. C23×C4C22×C3×C5semidirect
324. C23×C4C22×C3×C5semidirect
326. C2×C4⋊C4C22×C3×C5semidirect
330. C2×C22⋊C4C22×C3×C5semidirect
331. C2×C22⋊C4C22×C3×C5semidirect
332. C2×C22⋊C4C22×C3×C5semidirect
333. C2×C22⋊C4C22×C3×C5semidirect
334. C2×C22⋊C4C22×C3×C5semidirect
335. #95C22×C3×C5semidirect
403. C22×C5C3×#123semidirect
449. C3×C5#2405direct (N × H)
468. C22×C3C5×#123semidirect
534. C5C3×#2405direct (N × H)
553. C22C3×C5×#123semidirect
562. C3C5×#2405direct (N × H)

Maximal subgroups

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

subgroupindex
C23×C3×C5×D42
C2×C3×C5×#1232
C22×C3×C5×C22⋊C42
C3×C5×#3942
C3×C5×#3862
C3×C5×#3852
C3×C5×#3792
C5×#24053
C3×#24055