Finite Group Databasebeta

← C3×D5×#518 #14478949

Subgroups — C3×D5×#518 #14478949

Order 1920.

3840 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
1C22×C3×D4×D5C211yesmaximal, characteristic
2C3×C5×#518C211yesmaximal, characteristic, complemented
3C3×#66132C211yesmaximal, characteristic, complemented
4C3×#65879C218yesmaximal, complemented
5C3×C4×D4×D5C218yesmaximal, complemented
6C3×#65855C212yesmaximal, complemented
7C3×D5×#117C212yesmaximal, complemented
8C3×#65820C214yesmaximal, complemented
9C2×C3×D5×C22⋊C4C214yesmaximal, complemented
10D5×#518C311yesmaximal, characteristic, direct product factor, Hall
11C24×C3×D5C2212yes—
12C22×C3×C5×D4C2211yescharacteristic
13C22×C3×C22⋊D5C2212yes—
14C2×C3×D4×D5C4116yescomplemented
15C2×C3×D4×D5C2214yes—
16C2×C3×D4×D5C2214yes—
17C22×C3×D20C2211yescharacteristic
18C22×C3×C4×D5C2211yescharacteristic
19C22×C3×C4×D5C2218yescomplemented
20C3×C4×C5×D4C2218yescomplemented
21C3×C5×#117C2212yescomplemented
22C2×C3×C5×C22⋊C4C2214yescomplemented
23C2×C3×C22⋊Dic5C2214yescomplemented
24C3×D4×Dic5C2218yescomplemented
25C3×C4×C22⋊D5C22116yescomplemented
26C2×C3×#685C2218yescomplemented
27C3×#4072C2212yescomplemented
28C3×#4039C2218yescomplemented
29C3×#4038C2214yescomplemented
30C3×D5×C4⋊C4C2214yescomplemented
31C3×#4027C22116yescomplemented
32C3×D5×C22⋊C4C2214yes—
33C3×D5×C22⋊C4C2218yescomplemented
34C3×D5×C22⋊C4C2218yescomplemented
35C3×D5×C22⋊C4C2218yescomplemented
36C3×#4023C2214yescomplemented
37C3×C4×D20C2218yescomplemented
38C3×#4018C2214yescomplemented
39C3×C42×D5C2214yescomplemented
40C2×C3×#518—51nomaximal, Hall
41C22×D4×D5C2×C311yescharacteristic
42C5×#518C2×C311yescharacteristic, complemented
43#66132C2×C311yescharacteristic, complemented
44#65879C2×C318yescomplemented
45C4×D4×D5C2×C318yescomplemented
46#65855C2×C312yescomplemented
47D5×#117C2×C312yescomplemented
48#65820C2×C314yescomplemented
49C2×D5×C22⋊C4C2×C314yescomplemented
50C24×C3×C5C2312yes—
51C23×C3×D5—48no—
52C23×C3×D5C2×C4116yescomplemented
53C23×C3×D5C2311yescharacteristic
54C23×C3×D5C2314yes—
55C23×C3×D5C2312yes—
56C23×C3×D5C2314yes—
57C2×C3×C5×D4C2×C418yescomplemented
58C2×C3×C5×D4C2314yes—
59C22×C3×C4×C5C2311yescharacteristic
60C22×C3×C4×C5C2318yescomplemented
61C2×C3×C22⋊D5C2×C4116yescomplemented
62C2×C3×C22⋊D5C2318yes—
63C22×C3×Dic5C2311yescharacteristic
64C22×C3×Dic5C2318yescomplemented
65C3×D4×D5C2×C4132yescomplemented
66C3×D4×D5C2×C4132yescomplemented
67C2×C3×D20C2×C418yescomplemented
68C2×C3×D20C2314yes—
69C2×C3×C4×D5—416no—
70C2×C3×C4×D5C2×C418yescomplemented
71C2×C3×C4×D5C2318yes—
72C2×C3×C4×D5C2312yes—
73C2×C3×C4×D5C2312yes—
74C2×C3×C4×D5C23116yescomplemented
75C3×C5×C4⋊C4C2314yescomplemented
76C3×C5×C22⋊C4C2314yes—
77C3×C5×C22⋊C4C2318yescomplemented
78C3×C42×C5C2314yescomplemented
79C3×C22⋊Dic5C2314yes—
80C3×C22⋊Dic5C2318yescomplemented
81C3×#685C2318yes—
82C3×#685C23116yescomplemented
83C3×C4⋊Dic5C2314yescomplemented
84C3×#683C2318yescomplemented
85C3×C4×Dic5C2314yescomplemented
86C3×C4×Dic5C2318yescomplemented
87C23×C3×D4—51no—
88C3×#518—51no—
89C3×#518—58no—
90C3×#518—52no—
91C3×#518—54no—
92C3×#518D511yescharacteristic, direct product factor
93C2×C3×C4×D4—58no—
94C2×C3×#117—52no—
95C22×C3×C22⋊C4—54no—
96C24×D5C22×C312yes—
97C22×C5×D4C22×C311yescharacteristic
98C22×C22⋊D5C22×C312yes—
99C2×D4×D5C3×C4116yescomplemented
100C2×D4×D5C22×C314yes—
101C2×D4×D5C22×C314yes—
102C22×D20C22×C311yescharacteristic
103C22×C4×D5C22×C311yescharacteristic
104C22×C4×D5C22×C318yescomplemented
105C4×C5×D4C22×C318yescomplemented
106C5×#117C22×C312yescomplemented
107C2×C5×C22⋊C4C22×C314yescomplemented
108C2×C22⋊Dic5C22×C314yescomplemented
109D4×Dic5C22×C318yescomplemented
110C4×C22⋊D5C22×C3116yescomplemented
111C2×#685C22×C318yescomplemented
112#4072C22×C312yescomplemented
113#4039C22×C318yescomplemented
114#4038C22×C314yescomplemented
115D5×C4⋊C4C22×C314yescomplemented
116#4027C22×C3116yescomplemented
117D5×C22⋊C4C22×C314yes—
118D5×C22⋊C4C22×C318yescomplemented
119D5×C22⋊C4C22×C318yescomplemented
120D5×C22⋊C4C22×C318yescomplemented
121#4023C22×C314yescomplemented
122C4×D20C22×C318yescomplemented
123#4018C22×C314yescomplemented
124C42×D5C22×C314yescomplemented
125C2×#518—51noSylow
126C23×C3×C5—44no—
127C23×C3×C5C22×C418yescomplemented
128C23×C3×C5C2411yescharacteristic
129C23×C3×C5C2414yes—
130C22×C3×D5—216no—
131C22×C3×D5—24no—
132C22×C3×D5—432no—
133C22×C3×D5—44no—
134C22×C3×D5—48no—
135C22×C3×D5C22×C414yes—
136C22×C3×D5C22×C4116yes—
137C22×C3×D5C22×C418yescomplemented
138C22×C3×D5C22×C4116yescomplemented
139C22×C3×D5C2411yescharacteristic
140C22×C3×D5C2414yes—
141C22×C3×D5C2411yescharacteristic
142C3×C5×D4C22×C4116yescomplemented
143C2×C3×C4×C5—48no—
144C2×C3×C4×C5C22×C414yescomplemented
145C2×C3×C4×C5C2418yes—
146C2×C3×C4×C5C2412yes—
147C3×C22⋊D5C22×C4132yescomplemented
148C2×C3×Dic5—48no—
149C2×C3×Dic5C22×C414yescomplemented
150C2×C3×Dic5C2418yes—
151C2×C3×Dic5C2412yes—
152C3×D20C22×C4116yescomplemented
153C3×C4×D5—216no—
154C3×C4×D5—416no—
155C3×C4×D5C22×C418yes—
156C3×C4×D5C22×C418yescomplemented
157C25×C3—52no—
158C22×C3×D4—52no—
159C22×C3×D4—516no—
160C22×C3×D4—54no—
161C22×C3×D4—54no—
162C22×C3×D4—51no—
163C22×C3×D4C2×D511yescharacteristic
164C23×C3×C4—51no—
165C23×C3×C4—58no—
166C3×C4×D4—58no—
167C3×C4×D4—516no—
168C3×C4×D4—58no—
169C3×C4×D4—516no—
170C3×C4×D4—58no—
171C3×C4×D4C2×D518yescomplemented
172C3×#117—52no—
173C3×#117—54no—
174C3×#117—54no—
175C3×#117—54no—
176C3×#117C2×D512yescomplemented
177C2×C3×C4⋊C4—54no—
178C2×C3×C22⋊C4—54no—
179C2×C3×C22⋊C4—58no—
180C2×C3×C22⋊C4—54no—
181C2×C3×C22⋊C4—58no—
182C2×C3×C22⋊C4—58no—
183C2×C3×C22⋊C4—58no—
184C2×C3×C22⋊C4C2×D514yescomplemented
185C2×C3×C42—54no—
186C24×C5C23×C312yes—
187C23×D5—48no—
188C23×D5C2×C3×C4116yescomplemented
189C23×D5C23×C311yescharacteristic
190C23×D5C23×C314yes—
191C23×D5C23×C312yes—
192C23×D5C23×C314yes—
193C2×C5×D4C2×C3×C418yescomplemented
194C2×C5×D4C23×C314yes—
195C22×C4×C5C23×C311yescharacteristic
196C22×C4×C5C23×C318yescomplemented
197C2×C22⋊D5C2×C3×C4116yescomplemented
198C2×C22⋊D5C23×C318yes—
199C22×Dic5C23×C311yescharacteristic
200C22×Dic5C23×C318yescomplemented
201D4×D5C2×C3×C4132yescomplemented
202D4×D5C2×C3×C4132yescomplemented
203C2×D20C2×C3×C418yescomplemented
204C2×D20C23×C314yes—
205C2×C4×D5—416no—
206C2×C4×D5C2×C3×C418yescomplemented
207C2×C4×D5C23×C318yes—
208C2×C4×D5C23×C312yes—
209C2×C4×D5C23×C312yes—
210C2×C4×D5C23×C3116yescomplemented
211C5×C4⋊C4C23×C314yescomplemented
212C5×C22⋊C4C23×C314yes—
213C5×C22⋊C4C23×C318yescomplemented
214C42×C5C23×C314yescomplemented
215C22⋊Dic5C23×C314yes—
216C22⋊Dic5C23×C318yescomplemented
217#685C23×C318yes—
218#685C23×C3116yescomplemented
219C4⋊Dic5C23×C314yescomplemented
220#683C23×C318yescomplemented
221C4×Dic5C23×C314yescomplemented
222C4×Dic5C23×C318yescomplemented
223C23×D4—51no—
224#518—51no—
225#518—58no—
226#518—52no—
227#518—54no—
228#518C3×D511yescharacteristic, direct product factor
229C2×C4×D4—58no—
230C2×#117—52no—
231C22×C22⋊C4—54no—
232C22×C3×C5—28no—
233C22×C3×C5—22no—
234C22×C3×C5—48no—
235C22×C3×C5C23×C412yes—
236C22×C3×C5C23×C418yes—
237C22×C3×C5C2511yescharacteristic
238C2×C3×D5—28no—
239C2×C3×D5—22no—
240C2×C3×D5—28no—
241C2×C3×D5—232no—
242C2×C3×D5—416no—
243C2×C3×D5—48no—
244C2×C3×D5C23×C412yes—
245C2×C3×D5C23×C418yes—
246C2×C3×D5C23×C412yes—
247C2×C3×D5H(5,𝔽2)14yes—
248C3×C4×C5—28no—
249C3×C4×C5C23×C414yes—
250C3×Dic5—28no—
251C3×Dic5C23×C414yes—
252C24×C3—51no—
253C24×C3—54no—
254C24×C3—516no—
255C24×C3—54no—
256C24×C3—52no—
257C24×C3—208no—
258C24×C3C22×D512yes—
259C2×C3×D4—516no—
260C2×C3×D4—58no—
261C2×C3×D4—532no—
262C2×C3×D4—532no—
263C2×C3×D4—58no—
264C2×C3×D4—54no—
265C2×C3×D4C4×D518yescomplemented
266C2×C3×D4C22×D514yes—
267C22×C3×C4—51no—
268C22×C3×C4—58no—
269C22×C3×C4—52no—
270C22×C3×C4—52no—
271C22×C3×C4—58no—
272C22×C3×C4—58no—
273C22×C3×C4—516no—
274C22×C3×C4—2016no—
275C22×C3×C4C22×D511yescharacteristic
276C22×C3×C4C22×D518yescomplemented
277C3×C4⋊C4—58no—
278C3×C4⋊C4—54no—
279C3×C4⋊C4C22×D514yescomplemented
280C3×C22⋊C4—54no—
281C3×C22⋊C4—58no—
282C3×C22⋊C4—58no—
283C3×C22⋊C4—516no—
284C3×C22⋊C4C22×D514yes—
285C3×C22⋊C4C22×D518yescomplemented
286C3×C42—58no—
287C3×C42—54no—
288C3×C42C22×D514yescomplemented
289C23×C5—44no—
290C23×C5C22×C3×C418yescomplemented
291C23×C5C24×C311yescharacteristic
292C23×C5C24×C314yes—
293C22×D5—216no—
294C22×D5—24no—
295C22×D5—432no—
296C22×D5—44no—
297C22×D5—48no—
298C22×D5C22×C3×C414yes—
299C22×D5C22×C3×C4116yes—
300C22×D5C22×C3×C418yescomplemented
301C22×D5C22×C3×C4116yescomplemented
302C22×D5C24×C311yescharacteristic
303C22×D5C24×C314yes—
304C22×D5C24×C311yescharacteristic
305C5×D4C22×C3×C4116yescomplemented
306C2×C4×C5—48no—
307C2×C4×C5C22×C3×C414yescomplemented
308C2×C4×C5C24×C318yes—
309C2×C4×C5C24×C312yes—
310C22⋊D5C22×C3×C4132yescomplemented
311C2×Dic5—48no—
312C2×Dic5C22×C3×C414yescomplemented
313C2×Dic5C24×C318yes—
314C2×Dic5C24×C312yes—
315D20C22×C3×C4116yescomplemented
316C4×D5—216no—
317C4×D5—416no—
318C4×D5C22×C3×C418yes—
319C4×D5C22×C3×C418yescomplemented
320C25—52no—
321C22×D4—52no—
322C22×D4—516no—
323C22×D4—54no—
324C22×D4—54no—
325C22×D4—51no—
326C22×D4C2×C3×D511yescharacteristic
327C23×C4—51no—
328C23×C4—58no—
329C4×D4—58no—
330C4×D4—516no—
331C4×D4—58no—
332C4×D4—516no—
333C4×D4—58no—
334C4×D4C2×C3×D518yescomplemented
335#117—52no—
336#117—54no—
337#117—54no—
338#117—54no—
339#117C2×C3×D512yescomplemented
340C2×C4⋊C4—54no—
341C2×C22⋊C4—54no—
342C2×C22⋊C4—58no—
343C2×C22⋊C4—54no—
344C2×C22⋊C4—58no—
345C2×C22⋊C4—58no—
346C2×C22⋊C4—58no—
347C2×C22⋊C4C2×C3×D514yescomplemented
348C2×C42—54no—
349C2×C3×C5—22no—
350C2×C3×C5—28no—
351C2×C3×C5C24×C411yescharacteristic
352C2×C3×C5C2×H(5,𝔽2)12yes—
353C3×D5—22no—
354C3×D5—28no—
355C3×D5#51814yesdirect product factor
356C23×C3—44no—
357C23×C3—51no—
358C23×C3—54no—
359C23×C3—516no—
360C23×C3—51no—
361C23×C3—54no—
362C23×C3—516no—
363C23×C3—58no—
364C23×C3—1016no—
365C23×C3—104no—
366C23×C3—208no—
367C23×C3—204no—
368C23×C3—2032no—
369C23×C3C2×C4×D518yescomplemented
370C23×C3C23×D511yescharacteristic
371C23×C3C23×D514yes—
372C3×D4—532no—
373C3×D4—516no—
374C3×D4C2×C4×D5116yescomplemented
375C2×C3×C4—48no—
376C2×C3×C4—54no—
377C2×C3×C4—52no—
378C2×C3×C4—58no—
379C2×C3×C4—58no—
380C2×C3×C4—58no—
381C2×C3×C4—1016no—
382C2×C3×C4—2016no—
383C2×C3×C4—208no—
384C2×C3×C4C2×C4×D514yescomplemented
385C2×C3×C4C23×D518yes—
386C2×C3×C4C23×D512yes—
387C22×C5—28no—
388C22×C5—22no—
389C22×C5—48no—
390C22×C5C23×C3×C412yes—
391C22×C5C23×C3×C418yes—
392C22×C5C25×C311yescharacteristic
393C2×D5—28no—
394C2×D5—22no—
395C2×D5—28no—
396C2×D5—232no—
397C2×D5—416no—
398C2×D5—48no—
399C2×D5C23×C3×C412yes—
400C2×D5C23×C3×C418yes—
401C2×D5C23×C3×C412yes—
402C2×D5C3×H(5,𝔽2)14yes—
403C4×C5—28no—
404C4×C5C23×C3×C414yes—
405Dic5—28no—
406Dic5C23×C3×C414yes—
407C24—51no—
408C24—54no—
409C24—516no—
410C24—54no—
411C24—52no—
412C24—208no—
413C24C22×C3×D512yes—
414C2×D4—516no—
415C2×D4—58no—
416C2×D4—532no—
417C2×D4—532no—
418C2×D4—58no—
419C2×D4—54no—
420C2×D4C3×C4×D518yescomplemented
421C2×D4C22×C3×D514yes—
422C22×C4—51no—
423C22×C4—58no—
424C22×C4—52no—
425C22×C4—52no—
426C22×C4—58no—
427C22×C4—58no—
428C22×C4—516no—
429C22×C4—2016no—
430C22×C4C22×C3×D511yescharacteristic
431C22×C4C22×C3×D518yescomplemented
432C4⋊C4—58no—
433C4⋊C4—54no—
434C4⋊C4C22×C3×D514yescomplemented
435C22⋊C4—54no—
436C22⋊C4—58no—
437C22⋊C4—58no—
438C22⋊C4—516no—
439C22⋊C4C22×C3×D514yes—
440C22⋊C4C22×C3×D518yescomplemented
441C42—58no—
442C42—54no—
443C42C22×C3×D514yescomplemented
444C3×C5C2×#51811yescharacteristic, complemented, Hall
445C22×C3—28no—
446C22×C3—22no—
447C22×C3—48no—
448C22×C3—52no—
449C22×C3—54no—
450C22×C3—52no—
451C22×C3—58no—
452C22×C3—1032no—
453C22×C3—108no—
454C22×C3—108no—
455C22×C3—102no—
456C22×C3—208no—
457C22×C3—2016no—
458C22×C3C22×C4×D512yes—
459C22×C3C22×C4×D518yes—
460C22×C3C24×D511yescharacteristic
461C3×C4—28no—
462C3×C4—54no—
463C3×C4—108no—
464C3×C4C22×C4×D514yes—
465C2×C5—22no—
466C2×C5—28no—
467C2×C5C24×C3×C411yescharacteristic
468C2×C5C2×C3×H(5,𝔽2)12yes—
469D5—22no—
470D5—28no—
471D5C3×#51814yesdirect product factor
472C23—44no—
473C23—51no—
474C23—54no—
475C23—516no—
476C23—51no—
477C23—54no—
478C23—516no—
479C23—58no—
480C23—1016no—
481C23—104no—
482C23—208no—
483C23—204no—
484C23—2032no—
485C23C2×C3×C4×D518yescomplemented
486C23C23×C3×D511yescharacteristic
487C23C23×C3×D514yes—
488D4—532no—
489D4—516no—
490D4C2×C3×C4×D5116yescomplemented
491C2×C4—48no—
492C2×C4—54no—
493C2×C4—52no—
494C2×C4—58no—
495C2×C4—58no—
496C2×C4—58no—
497C2×C4—1016no—
498C2×C4—2016no—
499C2×C4—208no—
500C2×C4C2×C3×C4×D514yescomplemented
501C2×C4C23×C3×D518yes—
502C2×C4C23×C3×D512yes—
503C2×C3—22no—
504C2×C3—28no—
505C2×C3—54no—
506C2×C3—102no—
507C2×C3—108no—
508C2×C3C23×C4×D511yescharacteristic
509C2×C3D5×H(5,𝔽2)12yes—
510C5C2×C3×#51811yescharacteristic, complemented, Sylow
511C22—28no—
512C22—22no—
513C22—48no—
514C22—52no—
515C22—54no—
516C22—52no—
517C22—58no—
518C22—108no—
519C22—1032no—
520C22—108no—
521C22—102no—
522C22—208no—
523C22—2016no—
524C22C22×C3×C4×D512yes—
525C22C22×C3×C4×D518yes—
526C22C24×C3×D511yescharacteristic
527C4—28no—
528C4—54no—
529C4—108no—
530C4C22×C3×C4×D514yes—
531C3D5×#51811yescharacteristic, direct product factor, Sylow
532C2—22no—
533C2—28no—
534C2—54no—
535C2—102no—
536C2—108no—
537C2C23×C3×C4×D511yescharacteristic
538C2C3×D5×H(5,𝔽2)12yes—
subgroupG/H
centerC22×C3C24×D5
commutatorC2×C5C24×C3×C4
FrattiniC22C24×C3×D5
FittingC3×C5×#518C2
socleC22×C3×C5C25
prime radicalC22×C3×D4×D5C2
cosocleC22×C5C25×C3
hypercenterC3×#518D5
hypocenterC5C2×C3×#518
LCSG ▷ C2×C5 ▷ C5
UCSC1 ◁ C22×C3 ◁ C3×#518

Complements

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

NH ≅ G/Ntype
2. C3×C5×#518C2semidirect
3. C3×#66132C2semidirect
4. C3×#65879C2semidirect
5. C3×C4×D4×D5C2semidirect
6. C3×#65855C2semidirect
7. C3×D5×#117C2semidirect
8. C3×#65820C2semidirect
9. C2×C3×D5×C22⋊C4C2semidirect
10. D5×#518C3direct (N × H)
14. C2×C3×D4×D5C4semidirect
19. C22×C3×C4×D5C22semidirect
20. C3×C4×C5×D4C22semidirect
21. C3×C5×#117C22semidirect
22. C2×C3×C5×C22⋊C4C22semidirect
23. C2×C3×C22⋊Dic5C22semidirect
24. C3×D4×Dic5C22semidirect
25. C3×C4×C22⋊D5C22semidirect
26. C2×C3×#685C22semidirect
27. C3×#4072C22semidirect
28. C3×#4039C22semidirect
29. C3×#4038C22semidirect
30. C3×D5×C4⋊C4C22semidirect
31. C3×#4027C22semidirect
33. C3×D5×C22⋊C4C22semidirect
34. C3×D5×C22⋊C4C22semidirect
35. C3×D5×C22⋊C4C22semidirect
36. C3×#4023C22semidirect
37. C3×C4×D20C22semidirect
38. C3×#4018C22semidirect
39. C3×C42×D5C22semidirect
42. C5×#518C2×C3semidirect
43. #66132C2×C3semidirect
44. #65879C2×C3semidirect
45. C4×D4×D5C2×C3semidirect
46. #65855C2×C3semidirect
47. D5×#117C2×C3semidirect
48. #65820C2×C3semidirect
49. C2×D5×C22⋊C4C2×C3semidirect
52. C23×C3×D5C2×C4semidirect
57. C2×C3×C5×D4C2×C4semidirect
60. C22×C3×C4×C5C23semidirect
61. C2×C3×C22⋊D5C2×C4semidirect
64. C22×C3×Dic5C23semidirect
65. C3×D4×D5C2×C4semidirect
66. C3×D4×D5C2×C4semidirect
67. C2×C3×D20C2×C4semidirect
70. C2×C3×C4×D5C2×C4semidirect
74. C2×C3×C4×D5C23semidirect
75. C3×C5×C4⋊C4C23semidirect
77. C3×C5×C22⋊C4C23semidirect
78. C3×C42×C5C23semidirect
80. C3×C22⋊Dic5C23semidirect
82. C3×#685C23semidirect
83. C3×C4⋊Dic5C23semidirect
84. C3×#683C23semidirect
85. C3×C4×Dic5C23semidirect
86. C3×C4×Dic5C23semidirect
92. C3×#518D5direct (N × H)
99. C2×D4×D5C3×C4semidirect
104. C22×C4×D5C22×C3semidirect
105. C4×C5×D4C22×C3semidirect
106. C5×#117C22×C3semidirect
107. C2×C5×C22⋊C4C22×C3semidirect
108. C2×C22⋊Dic5C22×C3semidirect
109. D4×Dic5C22×C3semidirect
110. C4×C22⋊D5C22×C3semidirect
111. C2×#685C22×C3semidirect
112. #4072C22×C3semidirect
113. #4039C22×C3semidirect
114. #4038C22×C3semidirect
115. D5×C4⋊C4C22×C3semidirect
116. #4027C22×C3semidirect
118. D5×C22⋊C4C22×C3semidirect
119. D5×C22⋊C4C22×C3semidirect
120. D5×C22⋊C4C22×C3semidirect
121. #4023C22×C3semidirect
122. C4×D20C22×C3semidirect
123. #4018C22×C3semidirect
124. C42×D5C22×C3semidirect
127. C23×C3×C5C22×C4semidirect
137. C22×C3×D5C22×C4semidirect
138. C22×C3×D5C22×C4semidirect
142. C3×C5×D4C22×C4semidirect
144. C2×C3×C4×C5C22×C4semidirect
147. C3×C22⋊D5C22×C4semidirect
149. C2×C3×Dic5C22×C4semidirect
152. C3×D20C22×C4semidirect
156. C3×C4×D5C22×C4semidirect
171. C3×C4×D4C2×D5semidirect
176. C3×#117C2×D5semidirect
184. C2×C3×C22⋊C4C2×D5semidirect
188. C23×D5C2×C3×C4semidirect
193. C2×C5×D4C2×C3×C4semidirect
196. C22×C4×C5C23×C3semidirect
197. C2×C22⋊D5C2×C3×C4semidirect
200. C22×Dic5C23×C3semidirect
201. D4×D5C2×C3×C4semidirect
202. D4×D5C2×C3×C4semidirect
203. C2×D20C2×C3×C4semidirect
206. C2×C4×D5C2×C3×C4semidirect
210. C2×C4×D5C23×C3semidirect
211. C5×C4⋊C4C23×C3semidirect
213. C5×C22⋊C4C23×C3semidirect
214. C42×C5C23×C3semidirect
216. C22⋊Dic5C23×C3semidirect
218. #685C23×C3semidirect
219. C4⋊Dic5C23×C3semidirect
220. #683C23×C3semidirect
221. C4×Dic5C23×C3semidirect
222. C4×Dic5C23×C3semidirect
228. #518C3×D5direct (N × H)
265. C2×C3×D4C4×D5semidirect
276. C22×C3×C4C22×D5semidirect
279. C3×C4⋊C4C22×D5semidirect
285. C3×C22⋊C4C22×D5semidirect
288. C3×C42C22×D5semidirect
290. C23×C5C22×C3×C4semidirect
300. C22×D5C22×C3×C4semidirect
301. C22×D5C22×C3×C4semidirect
305. C5×D4C22×C3×C4semidirect
307. C2×C4×C5C22×C3×C4semidirect
310. C22⋊D5C22×C3×C4semidirect
312. C2×Dic5C22×C3×C4semidirect
315. D20C22×C3×C4semidirect
319. C4×D5C22×C3×C4semidirect
334. C4×D4C2×C3×D5semidirect
339. #117C2×C3×D5semidirect
347. C2×C22⋊C4C2×C3×D5semidirect
355. C3×D5#518direct (N × H)
369. C23×C3C2×C4×D5semidirect
374. C3×D4C2×C4×D5semidirect
384. C2×C3×C4C2×C4×D5semidirect
420. C2×D4C3×C4×D5semidirect
431. C22×C4C22×C3×D5semidirect
434. C4⋊C4C22×C3×D5semidirect
440. C22⋊C4C22×C3×D5semidirect
443. C42C22×C3×D5semidirect
444. C3×C5C2×#518semidirect
471. D5C3×#518direct (N × H)
485. C23C2×C3×C4×D5semidirect
490. D4C2×C3×C4×D5semidirect
500. C2×C4C2×C3×C4×D5semidirect
510. C5C2×C3×#518semidirect
531. C3D5×#518direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×D4×D52
C3×C5×#5182
C3×#661322
C3×#658792
C3×C4×D4×D52
C3×#658552
C3×D5×#1172
C3×#658202
C2×C3×D5×C22⋊C42
D5×#5183
C2×C3×#5185