Finite Group Databasebeta

← C3×C4×D5×C22⋊C4 #14319371

Subgroups — C3×C4×D5×C22⋊C4 #14319371

Order 1920.

2720 conjugacy classes of subgroups.

The subgroup lattice has 540 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C23×C3×C4×D5C211yesmaximal, characteristic
2C2×C3×D5×C22⋊C4C212yesmaximal
3C2×C3×C42×D5C212yesmaximal, complemented
4C3×C4×C5×C22⋊C4C211yesmaximal, characteristic, complemented
5C3×C4×C22⋊Dic5C211yesmaximal, characteristic, complemented
6C3×C22⋊C4×Dic5C212yesmaximal, complemented
7C3×C4×#685C212yesmaximal, complemented
8C3×#64955C212yesmaximal, complemented
9C3×D5×#95C212yesmaximal, complemented
10C4×D5×C22⋊C4C311yesmaximal, characteristic, direct product factor, Hall
11C24×C3×D5C2211yescharacteristic
12C23×C3×C4×C5C2211yescharacteristic
13C23×C3×Dic5C2211yescharacteristic
14C22×C3×C4×D5—28no—
15C22×C3×C4×D5C418yescomplemented
16C22×C3×C4×D5C2211yescharacteristic
17C22×C3×C4×D5C2211yescharacteristic
18C22×C3×C4×D5C2211yescharacteristic
19C22×C3×C4×D5C2214yes—
20C22×C3×C4×D5C2211yescharacteristic
21C2×C3×C5×C22⋊C4C2212yes—
22C2×C3×C42×C5C2212yescomplemented
23C2×C3×C22⋊Dic5C2212yes—
24C2×C3×#685C2214yes—
25C2×C3×C4×Dic5C2214yescomplemented
26C2×C3×C4×Dic5C2212yescomplemented
27C3×D5×C22⋊C4C4116yesdirect product factor
28C3×C42×D5—28no—
29C3×C5×#95C2212yescomplemented
30C3×#3963C2212yescomplemented
31C3×#3963C2214yescomplemented
32C2×C3×C4×C22⋊C4—51nomaximal, Hall
33C23×C4×D5C2×C311yescharacteristic
34C2×D5×C22⋊C4C2×C312yes—
35C2×C42×D5C2×C312yescomplemented
36C4×C5×C22⋊C4C2×C311yescharacteristic, complemented
37C4×C22⋊Dic5C2×C311yescharacteristic, complemented
38C22⋊C4×Dic5C2×C312yescomplemented
39C4×#685C2×C312yescomplemented
40#64955C2×C312yescomplemented
41D5×#95C2×C312yescomplemented
42C24×C3×C5C2311yescharacteristic
43C23×C3×D5—24no—
44C23×C3×D5—24no—
45C23×C3×D5C2×C414yes—
46C23×C3×D5C2×C418yes—
47C23×C3×D5C2311yescharacteristic
48C23×C3×D5C2311yescharacteristic
49C22×C3×C4×C5—24no—
50C22×C3×C4×C5C2×C414yescomplemented
51C22×C3×C4×C5C2311yescharacteristic
52C22×C3×C4×C5C2314yes—
53C22×C3×C4×C5C2311yescharacteristic
54C22×C3×Dic5—24no—
55C22×C3×Dic5C2×C414yescomplemented
56C22×C3×Dic5C2311yescharacteristic
57C22×C3×Dic5C2314yes—
58C22×C3×Dic5C2311yescharacteristic
59C2×C3×C4×D5—24no—
60C2×C3×C4×D5—28no—
61C2×C3×C4×D5—28no—
62C2×C3×C4×D5—24no—
63C2×C3×C4×D5—24no—
64C2×C3×C4×D5—232no—
65C2×C3×C4×D5C2×C414yes—
66C2×C3×C4×D5C2×C414yes—
67C2×C3×C4×D5C2×C414yescomplemented
68C2×C3×C4×D5C2×C414yescomplemented
69C2×C3×C4×D5C2×C4116yescomplemented
70C2×C3×C4×D5D418yes—
71C3×C5×C22⋊C4C2×C418yescomplemented
72C3×C42×C5—24no—
73C3×C22⋊Dic5C2×C418yescomplemented
74C3×#685C2×C4116yescomplemented
75C3×C4×Dic5—24no—
76C3×C4×Dic5—28no—
77C24×C3×C4—51no—
78C22×C3×C22⋊C4—52no—
79C22×C3×C42—52no—
80C3×C4×C22⋊C4—51no—
81C3×C4×C22⋊C4—52no—
82C3×C4×C22⋊C4—52no—
83C3×C4×C22⋊C4—52no—
84C3×C4×C22⋊C4D511yescharacteristic, direct product factor
85C2×C3×#95—52no—
86C24×D5C22×C311yescharacteristic
87C23×C4×C5C22×C311yescharacteristic
88C23×Dic5C22×C311yescharacteristic
89C22×C4×D5—28no—
90C22×C4×D5C3×C418yescomplemented
91C22×C4×D5C22×C311yescharacteristic
92C22×C4×D5C22×C314yes—
93C22×C4×D5C22×C311yescharacteristic
94C22×C4×D5C22×C311yescharacteristic
95C22×C4×D5C22×C311yescharacteristic
96C2×C5×C22⋊C4C22×C312yes—
97C2×C42×C5C22×C312yescomplemented
98C2×C22⋊Dic5C22×C312yes—
99C2×#685C22×C314yes—
100C2×C4×Dic5C22×C314yescomplemented
101C2×C4×Dic5C22×C312yescomplemented
102D5×C22⋊C4C3×C4116yesdirect product factor
103C42×D5—28no—
104C5×#95C22×C312yescomplemented
105#3963C22×C312yescomplemented
106#3963C22×C314yescomplemented
107C2×C4×C22⋊C4—51noSylow
108C23×C3×C5—22no—
109C23×C3×C5—22no—
110C23×C3×C5C22×C414yes—
111C23×C3×C5C22×C412yes—
112C23×C3×C5C2411yescharacteristic
113C22×C3×D5—22no—
114C22×C3×D5—22no—
115C22×C3×D5—28no—
116C22×C3×D5—28no—
117C22×C3×D5—232no—
118C22×C3×D5C42116yescomplemented
119C22×C3×D5C22×C414yes—
120C22×C3×D5C22×C412yes—
121C22×C3×D5C22×C412yes—
122C22×C3×D5C22×C414yes—
123C22×C3×D5C2×D414yes—
124C22×C3×D5#4114yes—
125C2×C3×C4×C5—24no—
126C2×C3×C4×C5—22no—
127C2×C3×C4×C5—24no—
128C2×C3×C4×C5—28no—
129C2×C3×C4×C5C22×C412yes—
130C2×C3×C4×C5C22×C412yes—
131C2×C3×C4×C5C22×C418yescomplemented
132C2×C3×C4×C5C2×D414yes—
133C2×C3×Dic5—24no—
134C2×C3×Dic5—22no—
135C2×C3×Dic5—24no—
136C2×C3×Dic5—28no—
137C2×C3×Dic5C22×C412yes—
138C2×C3×Dic5C22×C412yes—
139C2×C3×Dic5C22×C418yescomplemented
140C2×C3×Dic5C2×D414yes—
141C3×C4×D5—28no—
142C3×C4×D5—232no—
143C3×C4×D5—28no—
144C3×C4×D5—28no—
145C3×C4×D5C22⋊C4116yesdirect product factor
146C25×C3—51no—
147C23×C3×C4—51no—
148C23×C3×C4—51no—
149C23×C3×C4—58no—
150C23×C3×C4—51no—
151C23×C3×C4—51no—
152C23×C3×C4—54no—
153C23×C3×C4—51no—
154C23×C3×C4—108no—
155C23×C3×C4C2×D511yescharacteristic
156C2×C3×C22⋊C4—52no—
157C2×C3×C22⋊C4—54no—
158C2×C3×C22⋊C4—516no—
159C2×C3×C22⋊C4C2×D512yes—
160C2×C3×C42—54no—
161C2×C3×C42—52no—
162C2×C3×C42—108no—
163C2×C3×C42C2×D512yescomplemented
164C3×#95—54no—
165C3×#95—52no—
166C3×#95C2×D512yescomplemented
167C24×C5C23×C311yescharacteristic
168C23×D5—24no—
169C23×D5—24no—
170C23×D5C2×C3×C414yes—
171C23×D5C2×C3×C418yes—
172C23×D5C23×C311yescharacteristic
173C23×D5C23×C311yescharacteristic
174C22×C4×C5—24no—
175C22×C4×C5C2×C3×C414yescomplemented
176C22×C4×C5C23×C311yescharacteristic
177C22×C4×C5C23×C314yes—
178C22×C4×C5C23×C311yescharacteristic
179C22×Dic5—24no—
180C22×Dic5C2×C3×C414yescomplemented
181C22×Dic5C23×C311yescharacteristic
182C22×Dic5C23×C314yes—
183C22×Dic5C23×C311yescharacteristic
184C2×C4×D5—24no—
185C2×C4×D5—28no—
186C2×C4×D5—28no—
187C2×C4×D5—24no—
188C2×C4×D5—24no—
189C2×C4×D5—232no—
190C2×C4×D5C2×C3×C414yes—
191C2×C4×D5C2×C3×C414yes—
192C2×C4×D5C2×C3×C414yescomplemented
193C2×C4×D5C2×C3×C414yescomplemented
194C2×C4×D5C2×C3×C4116yescomplemented
195C2×C4×D5C3×D418yes—
196C5×C22⋊C4C2×C3×C418yescomplemented
197C42×C5—24no—
198C22⋊Dic5C2×C3×C418yescomplemented
199#685C2×C3×C4116yescomplemented
200C4×Dic5—24no—
201C4×Dic5—28no—
202C24×C4—51no—
203C22×C22⋊C4—52no—
204C22×C42—52no—
205C4×C22⋊C4—51no—
206C4×C22⋊C4—52no—
207C4×C22⋊C4—52no—
208C4×C22⋊C4—52no—
209C4×C22⋊C4C3×D511yescharacteristic, direct product factor
210C2×#95—52no—
211C22×C3×C5—22no—
212C22×C3×C5—22no—
213C22×C3×C5—28no—
214C22×C3×C5C2×C4214yescomplemented
215C22×C3×C5C23×C411yescharacteristic
216C22×C3×C5C23×C412yes—
217C22×C3×C5C22×D412yes—
218C22×C3×C5C2×#4112yes—
219C2×C3×D5—22no—
220C2×C3×D5—22no—
221C2×C3×D5—28no—
222C2×C3×D5—232no—
223C2×C3×D5C2×C4214yes—
224C2×C3×D5C2×C4214yescomplemented
225C2×C3×D5C2×C22⋊C414yes—
226C2×C3×D5#11714yes—
227C2×C3×D5C4×D4116yes—
228C3×C4×C5—22no—
229C3×C4×C5—28no—
230C3×C4×C5C2×C22⋊C414yescomplemented
231C3×Dic5—22no—
232C3×Dic5—28no—
233C3×Dic5C2×C22⋊C414yescomplemented
234C24×C3—51no—
235C24×C3—58no—
236C24×C3—54no—
237C24×C3—51no—
238C24×C3—104no—
239C24×C3—104no—
240C24×C3C22×D511yescharacteristic
241C22×C3×C4—24no—
242C22×C3×C4—51no—
243C22×C3×C4—54no—
244C22×C3×C4—58no—
245C22×C3×C4—54no—
246C22×C3×C4—51no—
247C22×C3×C4—54no—
248C22×C3×C4—54no—
249C22×C3×C4—54no—
250C22×C3×C4—54no—
251C22×C3×C4—516no—
252C22×C3×C4—104no—
253C22×C3×C4—1032no—
254C22×C3×C4—108no—
255C22×C3×C4—108no—
256C22×C3×C4—104no—
257C22×C3×C4—104no—
258C22×C3×C4—104no—
259C22×C3×C4C4×D514yescomplemented
260C22×C3×C4C22×D511yescharacteristic
261C22×C3×C4C22×D514yes—
262C22×C3×C4C22×D511yescharacteristic
263C3×C22⋊C4—58no—
264C3×C22⋊C4—516no—
265C3×C22⋊C4C4×D518yesdirect product factor
266C3×C42—24no—
267C3×C42—108no—
268C3×C42—104no—
269C23×C5—22no—
270C23×C5—22no—
271C23×C5C22×C3×C414yes—
272C23×C5C22×C3×C412yes—
273C23×C5C24×C311yescharacteristic
274C22×D5—22no—
275C22×D5—22no—
276C22×D5—28no—
277C22×D5—28no—
278C22×D5—232no—
279C22×D5C3×C42116yescomplemented
280C22×D5C22×C3×C414yes—
281C22×D5C22×C3×C412yes—
282C22×D5C22×C3×C412yes—
283C22×D5C22×C3×C414yes—
284C22×D5C2×C3×D414yes—
285C22×D5C3×#4114yes—
286C2×C4×C5—24no—
287C2×C4×C5—22no—
288C2×C4×C5—24no—
289C2×C4×C5—28no—
290C2×C4×C5C22×C3×C412yes—
291C2×C4×C5C22×C3×C412yes—
292C2×C4×C5C22×C3×C418yescomplemented
293C2×C4×C5C2×C3×D414yes—
294C2×Dic5—24no—
295C2×Dic5—22no—
296C2×Dic5—24no—
297C2×Dic5—28no—
298C2×Dic5C22×C3×C412yes—
299C2×Dic5C22×C3×C412yes—
300C2×Dic5C22×C3×C418yescomplemented
301C2×Dic5C2×C3×D414yes—
302C4×D5—28no—
303C4×D5—232no—
304C4×D5—28no—
305C4×D5—28no—
306C4×D5C3×C22⋊C4116yesdirect product factor
307C25—51no—
308C23×C4—51no—
309C23×C4—51no—
310C23×C4—58no—
311C23×C4—54no—
312C23×C4—51no—
313C23×C4—51no—
314C23×C4—51no—
315C23×C4—108no—
316C23×C4C2×C3×D511yescharacteristic
317C2×C22⋊C4—52no—
318C2×C22⋊C4—54no—
319C2×C22⋊C4—516no—
320C2×C22⋊C4C2×C3×D512yes—
321C2×C42—54no—
322C2×C42—52no—
323C2×C42—108no—
324C2×C42C2×C3×D512yescomplemented
325#95—54no—
326#95—52no—
327#95C2×C3×D512yescomplemented
328C2×C3×C5—24no—
329C2×C3×C5C22×C4211yescharacteristic
330C2×C3×C5C22×C22⋊C411yescharacteristic
331C2×C3×C5C2×#11711yescharacteristic
332C2×C3×C5C2×C4×D414yes—
333C3×D5—24no—
334C3×D5C4×C22⋊C418yesdirect product factor
335C23×C3—22no—
336C23×C3—22no—
337C23×C3—52no—
338C23×C3—54no—
339C23×C3—54no—
340C23×C3—54no—
341C23×C3—54no—
342C23×C3—52no—
343C23×C3—516no—
344C23×C3—108no—
345C23×C3—108no—
346C23×C3—1032no—
347C23×C3—102no—
348C23×C3—102no—
349C23×C3C2×C4×D514yes—
350C23×C3C2×C4×D512yes—
351C23×C3C23×D511yescharacteristic
352C2×C3×C4—24no—
353C2×C3×C4—22no—
354C2×C3×C4—24no—
355C2×C3×C4—28no—
356C2×C3×C4—52no—
357C2×C3×C4—54no—
358C2×C3×C4—516no—
359C2×C3×C4—52no—
360C2×C3×C4—58no—
361C2×C3×C4—108no—
362C2×C3×C4—1032no—
363C2×C3×C4—108no—
364C2×C3×C4—108no—
365C2×C3×C4—104no—
366C2×C3×C4—102no—
367C2×C3×C4—104no—
368C2×C3×C4—108no—
369C2×C3×C4C2×C4×D512yes—
370C2×C3×C4C2×C4×D512yes—
371C2×C3×C4C2×C4×D518yescomplemented
372C2×C3×C4D4×D514yes—
373C22×C5—22no—
374C22×C5—22no—
375C22×C5—28no—
376C22×C5C2×C3×C4214yescomplemented
377C22×C5C23×C3×C411yescharacteristic
378C22×C5C23×C3×C412yes—
379C22×C5C22×C3×D412yes—
380C22×C5C2×C3×#4112yes—
381C2×D5—22no—
382C2×D5—22no—
383C2×D5—28no—
384C2×D5—232no—
385C2×D5C2×C3×C4214yes—
386C2×D5C2×C3×C4214yescomplemented
387C2×D5C2×C3×C22⋊C414yes—
388C2×D5C3×#11714yes—
389C2×D5C3×C4×D4116yes—
390C4×C5—22no—
391C4×C5—28no—
392C4×C5C2×C3×C22⋊C414yescomplemented
393Dic5—22no—
394Dic5—28no—
395Dic5C2×C3×C22⋊C414yescomplemented
396C24—51no—
397C24—58no—
398C24—54no—
399C24—51no—
400C24—104no—
401C24—104no—
402C24C22×C3×D511yescharacteristic
403C22×C4—24no—
404C22×C4—51no—
405C22×C4—54no—
406C22×C4—58no—
407C22×C4—54no—
408C22×C4—51no—
409C22×C4—54no—
410C22×C4—54no—
411C22×C4—54no—
412C22×C4—54no—
413C22×C4—516no—
414C22×C4—104no—
415C22×C4—1032no—
416C22×C4—108no—
417C22×C4—104no—
418C22×C4—108no—
419C22×C4—104no—
420C22×C4—104no—
421C22×C4C3×C4×D514yescomplemented
422C22×C4C22×C3×D511yescharacteristic
423C22×C4C22×C3×D514yes—
424C22×C4C22×C3×D511yescharacteristic
425C22⋊C4—58no—
426C22⋊C4—516no—
427C22⋊C4C3×C4×D518yesdirect product factor
428C42—24no—
429C42—108no—
430C42—104no—
431C3×C5C2×C4×C22⋊C411yescharacteristic, complemented, Hall
432C22×C3—22no—
433C22×C3—22no—
434C22×C3—28no—
435C22×C3—54no—
436C22×C3—54no—
437C22×C3—54no—
438C22×C3—516no—
439C22×C3—54no—
440C22×C3—1032no—
441C22×C3—102no—
442C22×C3—102no—
443C22×C3—108no—
444C22×C3C42×D514yescomplemented
445C22×C3C22×C4×D511yescharacteristic
446C22×C3C22×C4×D512yes—
447C22×C3C2×D4×D512yes—
448C22×C3D5×#4112yes—
449C3×C4—22no—
450C3×C4—28no—
451C3×C4—54no—
452C3×C4—102no—
453C3×C4—108no—
454C3×C4D5×C22⋊C414yesdirect product factor
455C2×C5—24no—
456C2×C5C22×C3×C4211yescharacteristic
457C2×C5C22×C3×C22⋊C411yescharacteristic
458C2×C5C2×C3×#11711yescharacteristic
459C2×C5C2×C3×C4×D414yes—
460D5—24no—
461D5C3×C4×C22⋊C418yesdirect product factor
462C23—22no—
463C23—22no—
464C23—52no—
465C23—54no—
466C23—54no—
467C23—54no—
468C23—54no—
469C23—52no—
470C23—516no—
471C23—108no—
472C23—108no—
473C23—1032no—
474C23—102no—
475C23—102no—
476C23C2×C3×C4×D514yes—
477C23C2×C3×C4×D512yes—
478C23C23×C3×D511yescharacteristic
479C2×C4—24no—
480C2×C4—22no—
481C2×C4—24no—
482C2×C4—28no—
483C2×C4—52no—
484C2×C4—54no—
485C2×C4—516no—
486C2×C4—58no—
487C2×C4—52no—
488C2×C4—108no—
489C2×C4—108no—
490C2×C4—1032no—
491C2×C4—108no—
492C2×C4—104no—
493C2×C4—102no—
494C2×C4—104no—
495C2×C4—108no—
496C2×C4C2×C3×C4×D512yes—
497C2×C4C2×C3×C4×D512yes—
498C2×C4C2×C3×C4×D518yescomplemented
499C2×C4C3×D4×D514yes—
500C2×C3—24no—
501C2×C3—58no—
502C2×C3—104no—
503C2×C3C2×C42×D511yescharacteristic
504C2×C3C2×D5×C22⋊C411yescharacteristic
505C2×C3D5×#11711yescharacteristic
506C2×C3C4×D4×D514yes—
507C5C2×C3×C4×C22⋊C411yescharacteristic, complemented, Sylow
508C22—22no—
509C22—28no—
510C22—22no—
511C22—54no—
512C22—516no—
513C22—54no—
514C22—54no—
515C22—54no—
516C22—1032no—
517C22—102no—
518C22—108no—
519C22—102no—
520C22C3×C42×D514yescomplemented
521C22C22×C3×C4×D511yescharacteristic
522C22C22×C3×C4×D512yes—
523C22C2×C3×D4×D512yes—
524C22C3×D5×#4112yes—
525C4—28no—
526C4—22no—
527C4—54no—
528C4—108no—
529C4—102no—
530C4C3×D5×C22⋊C414yesdirect product factor
531C3C4×D5×C22⋊C411yescharacteristic, direct product factor, Sylow
532C2—24no—
533C2—58no—
534C2—104no—
535C2C2×C3×C42×D511yescharacteristic
536C2C2×C3×D5×C22⋊C411yescharacteristic
537C2C3×D5×#11711yescharacteristic
538C2C3×C4×D4×D514yes—
subgroupG/H
centerC22×C3×C4C22×D5
commutatorC2×C5C22×C3×C42
FrattiniC23C23×C3×D5
FittingC3×C4×C5×C22⋊C4C2
socleC23×C3×C5C24
prime radicalC24×C3×D5C22
cosocleC23×C5C24×C3
hypercenterC3×C4×C22⋊C4D5
hypocenterC5C2×C3×C4×C22⋊C4
LCSG ▷ C2×C5 ▷ C5
UCSC1 ◁ C22×C3×C4 ◁ C3×C4×C22⋊C4

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
3. C2×C3×C42×D5C2semidirect
4. C3×C4×C5×C22⋊C4C2semidirect
5. C3×C4×C22⋊Dic5C2semidirect
6. C3×C22⋊C4×Dic5C2semidirect
7. C3×C4×#685C2semidirect
8. C3×#64955C2semidirect
9. C3×D5×#95C2semidirect
10. C4×D5×C22⋊C4C3direct (N × H)
15. C22×C3×C4×D5C4semidirect
22. C2×C3×C42×C5C22semidirect
25. C2×C3×C4×Dic5C22semidirect
26. C2×C3×C4×Dic5C22semidirect
27. C3×D5×C22⋊C4C4direct (N × H)
29. C3×C5×#95C22semidirect
30. C3×#3963C22semidirect
31. C3×#3963C22semidirect
35. C2×C42×D5C2×C3semidirect
36. C4×C5×C22⋊C4C2×C3semidirect
37. C4×C22⋊Dic5C2×C3semidirect
38. C22⋊C4×Dic5C2×C3semidirect
39. C4×#685C2×C3semidirect
40. #64955C2×C3semidirect
41. D5×#95C2×C3semidirect
50. C22×C3×C4×C5C2×C4semidirect
55. C22×C3×Dic5C2×C4semidirect
67. C2×C3×C4×D5C2×C4semidirect
68. C2×C3×C4×D5C2×C4semidirect
69. C2×C3×C4×D5C2×C4semidirect
71. C3×C5×C22⋊C4C2×C4semidirect
73. C3×C22⋊Dic5C2×C4semidirect
74. C3×#685C2×C4semidirect
84. C3×C4×C22⋊C4D5direct (N × H)
90. C22×C4×D5C3×C4semidirect
97. C2×C42×C5C22×C3semidirect
100. C2×C4×Dic5C22×C3semidirect
101. C2×C4×Dic5C22×C3semidirect
102. D5×C22⋊C4C3×C4direct (N × H)
104. C5×#95C22×C3semidirect
105. #3963C22×C3semidirect
106. #3963C22×C3semidirect
118. C22×C3×D5C42semidirect
131. C2×C3×C4×C5C22×C4semidirect
139. C2×C3×Dic5C22×C4semidirect
145. C3×C4×D5C22⋊C4direct (N × H)
163. C2×C3×C42C2×D5semidirect
166. C3×#95C2×D5semidirect
175. C22×C4×C5C2×C3×C4semidirect
180. C22×Dic5C2×C3×C4semidirect
192. C2×C4×D5C2×C3×C4semidirect
193. C2×C4×D5C2×C3×C4semidirect
194. C2×C4×D5C2×C3×C4semidirect
196. C5×C22⋊C4C2×C3×C4semidirect
198. C22⋊Dic5C2×C3×C4semidirect
199. #685C2×C3×C4semidirect
209. C4×C22⋊C4C3×D5direct (N × H)
214. C22×C3×C5C2×C42semidirect
224. C2×C3×D5C2×C42semidirect
230. C3×C4×C5C2×C22⋊C4semidirect
233. C3×Dic5C2×C22⋊C4semidirect
259. C22×C3×C4C4×D5semidirect
265. C3×C22⋊C4C4×D5direct (N × H)
279. C22×D5C3×C42semidirect
292. C2×C4×C5C22×C3×C4semidirect
300. C2×Dic5C22×C3×C4semidirect
306. C4×D5C3×C22⋊C4direct (N × H)
324. C2×C42C2×C3×D5semidirect
327. #95C2×C3×D5semidirect
334. C3×D5C4×C22⋊C4direct (N × H)
371. C2×C3×C4C2×C4×D5semidirect
376. C22×C5C2×C3×C42semidirect
386. C2×D5C2×C3×C42semidirect
392. C4×C5C2×C3×C22⋊C4semidirect
395. Dic5C2×C3×C22⋊C4semidirect
421. C22×C4C3×C4×D5semidirect
427. C22⋊C4C3×C4×D5direct (N × H)
431. C3×C5C2×C4×C22⋊C4semidirect
444. C22×C3C42×D5semidirect
454. C3×C4D5×C22⋊C4direct (N × H)
461. D5C3×C4×C22⋊C4direct (N × H)
498. C2×C4C2×C3×C4×D5semidirect
507. C5C2×C3×C4×C22⋊C4semidirect
520. C22C3×C42×D5semidirect
530. C4C3×D5×C22⋊C4direct (N × H)
531. C3C4×D5×C22⋊C4direct (N × H)

Maximal subgroups

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

subgroupindex
C23×C3×C4×D52
C2×C3×D5×C22⋊C42
C2×C3×C42×D52
C3×C4×C5×C22⋊C42
C3×C4×C22⋊Dic52
C3×C22⋊C4×Dic52
C3×C4×#6852
C3×#649552
C3×D5×#952
C4×D5×C22⋊C43
C2×C3×C4×C22⋊C45