Finite Group Databasebeta

← C3×#10614310 #14328117

Subgroups — C3×#10614310 #14328117

Order 1920.

1856 conjugacy classes of subgroups.

The subgroup lattice has 632 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C5×#120C211yesmaximal, characteristic
2C22×C3×C22⋊Dic5C212yesmaximal, complemented
3C2×C3×D4×Dic5C212yesmaximal, complemented
4C3×#65510C211yesmaximal, characteristic, complemented
5C3×#65509C211yesmaximal, characteristic, complemented
6C3×#65509C212yesmaximal, complemented
7C3×#65240C212yesmaximal, complemented
8C3×#65239C212yesmaximal, complemented
9C3×C22⋊C4×Dic5C212yesmaximal, complemented
10#10614310C311yesmaximal, characteristic, direct product factor, Hall
11C25×C3×C5C2211yescharacteristic
12C22×C3×C5×D4C2212yes—
13C22×C3×C5×D4C2211yescharacteristic
14C23×C3×Dic5C2212yes—
15C23×C3×Dic5C2212yes—
16C23×C3×Dic5C2211yescharacteristic, complemented
17C3×C5×#120C418yescomplemented
18C2×C3×C5×C22⋊C4C2212yes—
19C2×C3×C5×C22⋊C4C2211yescharacteristic
20C2×C3×C22⋊Dic5—28no—
21C2×C3×C22⋊Dic5C2212yes—
22C2×C3×C22⋊Dic5C2212yes—
23C2×C3×C22⋊Dic5C2212yes—
24C2×C3×C22⋊Dic5C2212yes—
25C2×C3×C22⋊Dic5C2212yescomplemented
26C2×C3×C22⋊Dic5C2211yescharacteristic, complemented
27C3×D4×Dic5—28no—
28C2×C3×C4⋊Dic5C2212yescomplemented
29C2×C3×C4⋊Dic5C2211yescharacteristic, complemented
30C2×C3×C4×Dic5C2212yescomplemented
31C2×C3×C4×Dic5C2211yescharacteristic, complemented
32C3×#3963C2212yescomplemented
33C3×#3963C2212yescomplemented
34C3×#3963C2212yescomplemented
35C3×#2358—51nomaximal, Hall
36C2×C5×#120C2×C311yescharacteristic
37C22×C22⋊Dic5C2×C312yescomplemented
38C2×D4×Dic5C2×C312yescomplemented
39#65510C2×C311yescharacteristic, complemented
40#65509C2×C311yescharacteristic, complemented
41#65509C2×C312yescomplemented
42#65240C2×C312yescomplemented
43#65239C2×C312yescomplemented
44C22⋊C4×Dic5C2×C312yescomplemented
45C24×C3×C5—24no—
46C24×C3×C5—24no—
47C24×C3×C5—41no—
48C24×C3×C5—41no—
49C24×C3×C5C2×C414yescomplemented
50C24×C3×C5C2311yescharacteristic
51C24×C3×C5C2311yescharacteristic
52C24×C3×C5C2312yes—
53C2×C3×C5×D4—24no—
54C2×C3×C5×D4—24no—
55C2×C3×C5×D4—41no—
56C2×C3×C5×D4—41no—
57C2×C3×C5×D4C2×C418yescomplemented
58C2×C3×C5×D4C2×C414yescomplemented
59C22×C3×C4×C5C2312yes—
60C22×C3×C4×C5C2311yescharacteristic
61C22×C3×Dic5—24no—
62C22×C3×Dic5—24no—
63C22×C3×Dic5—24no—
64C22×C3×Dic5—24no—
65C22×C3×Dic5—24no—
66C22×C3×Dic5—42no—
67C22×C3×Dic5—42no—
68C22×C3×Dic5—41no—
69C22×C3×Dic5C2312yes—
70C22×C3×Dic5C2312yes—
71C22×C3×Dic5C2312yes—
72C22×C3×Dic5C2312yes—
73C3×C5×C22⋊C4C2×C414yescomplemented
74C3×C5×C22⋊C4C2×C418yescomplemented
75C3×C22⋊Dic5—24no—
76C3×C22⋊Dic5—24no—
77C3×C22⋊Dic5—24no—
78C3×C22⋊Dic5—24no—
79C3×C22⋊Dic5—41no—
80C3×C22⋊Dic5D418yescomplemented
81C3×C4⋊Dic5—24no—
82C3×C4⋊Dic5—41no—
83C3×C4×Dic5—24no—
84C3×C4×Dic5—41no—
85C2×C3×#120D511yescharacteristic
86C2×C3×C4×D4—52no—
87C22×C3×C22⋊C4—52no—
88C3×#390—51no—
89C3×#388—52no—
90C3×#386—51no—
91C3×#386—52no—
92C3×#385—52no—
93C3×C4×C22⋊C4—52no—
94C25×C5C22×C311yescharacteristic
95C22×C5×D4C22×C312yes—
96C22×C5×D4C22×C311yescharacteristic
97C23×Dic5C22×C312yes—
98C23×Dic5C22×C312yes—
99C23×Dic5C22×C311yescharacteristic, complemented
100C5×#120C3×C418yescomplemented
101C2×C5×C22⋊C4C22×C312yes—
102C2×C5×C22⋊C4C22×C311yescharacteristic
103C2×C22⋊Dic5—28no—
104C2×C22⋊Dic5C22×C312yes—
105C2×C22⋊Dic5C22×C312yes—
106C2×C22⋊Dic5C22×C312yes—
107C2×C22⋊Dic5C22×C312yes—
108C2×C22⋊Dic5C22×C312yescomplemented
109C2×C22⋊Dic5C22×C311yescharacteristic, complemented
110D4×Dic5—28no—
111C2×C4⋊Dic5C22×C312yescomplemented
112C2×C4⋊Dic5C22×C311yescharacteristic, complemented
113C2×C4×Dic5C22×C312yescomplemented
114C2×C4×Dic5C22×C311yescharacteristic, complemented
115#3963C22×C312yescomplemented
116#3963C22×C312yescomplemented
117#3963C22×C312yescomplemented
118#2358—51noSylow
119C23×C3×C5—22no—
120C23×C3×C5—22no—
121C23×C3×C5—22no—
122C23×C3×C5—22no—
123C23×C3×C5—216no—
124C23×C3×C5—22no—
125C23×C3×C5—22no—
126C23×C3×C5—22no—
127C23×C3×C5—22no—
128C23×C3×C5—21no—
129C23×C3×C5—21no—
130C23×C3×C5—21no—
131C23×C3×C5—21no—
132C23×C3×C5—44no—
133C23×C3×C5—44no—
134C23×C3×C5—48no—
135C23×C3×C5—44no—
136C23×C3×C5C22×C412yes—
137C23×C3×C5C22×C412yes—
138C23×C3×C5C22×C414yes—
139C23×C3×C5C2×D414yes—
140C23×C3×C5#4114yes—
141C23×C3×C5C2411yescharacteristic
142C3×C5×D4—216no—
143C3×C5×D4—44no—
144C2×C3×C4×C5—22no—
145C2×C3×C4×C5—22no—
146C2×C3×C4×C5—21no—
147C2×C3×C4×C5—21no—
148C2×C3×C4×C5C22×C414yes—
149C2×C3×C4×C5C22×C412yes—
150C2×C3×Dic5—22no—
151C2×C3×Dic5—22no—
152C2×C3×Dic5—22no—
153C2×C3×Dic5—22no—
154C2×C3×Dic5—22no—
155C2×C3×Dic5—22no—
156C2×C3×Dic5—22no—
157C2×C3×Dic5—22no—
158C2×C3×Dic5—22no—
159C2×C3×Dic5—22no—
160C2×C3×Dic5—44no—
161C2×C3×Dic5—48no—
162C2×C3×Dic5—48no—
163C2×C3×Dic5C2×D414yes—
164C2×C3×Dic5C2×D414yes—
165C25×C3C2×D511yescharacteristic
166C22×C3×D4C2×D512yes—
167C22×C3×D4C2×D511yescharacteristic
168C23×C3×C4—52no—
169C23×C3×C4—52no—
170C23×C3×C4—51no—
171C3×#120Dic518yescomplemented
172C3×C4×D4—108no—
173C2×C3×C4⋊C4—52no—
174C2×C3×C4⋊C4—51no—
175C2×C3×C22⋊C4—52no—
176C2×C3×C22⋊C4—52no—
177C2×C3×C22⋊C4—52no—
178C2×C3×C22⋊C4—52no—
179C2×C3×C22⋊C4—52no—
180C2×C3×C22⋊C4—51no—
181C2×C3×C22⋊C4—108no—
182C2×C3×C22⋊C4C2×D512yes—
183C2×C3×C22⋊C4C2×D511yescharacteristic
184C2×C3×C42—52no—
185C2×C3×C42—51no—
186C3×#95—52no—
187C3×#95—52no—
188C3×#95—52no—
189C24×C5—24no—
190C24×C5—24no—
191C24×C5—41no—
192C24×C5—41no—
193C24×C5C2×C3×C414yescomplemented
194C24×C5C23×C311yescharacteristic
195C24×C5C23×C311yescharacteristic
196C24×C5C23×C312yes—
197C2×C5×D4—24no—
198C2×C5×D4—24no—
199C2×C5×D4—41no—
200C2×C5×D4—41no—
201C2×C5×D4C2×C3×C418yescomplemented
202C2×C5×D4C2×C3×C414yescomplemented
203C22×C4×C5C23×C312yes—
204C22×C4×C5C23×C311yescharacteristic
205C22×Dic5—24no—
206C22×Dic5—24no—
207C22×Dic5—24no—
208C22×Dic5—24no—
209C22×Dic5—24no—
210C22×Dic5—42no—
211C22×Dic5—42no—
212C22×Dic5—41no—
213C22×Dic5C23×C312yes—
214C22×Dic5C23×C312yes—
215C22×Dic5C23×C312yes—
216C22×Dic5C23×C312yes—
217C5×C22⋊C4C2×C3×C414yescomplemented
218C5×C22⋊C4C2×C3×C418yescomplemented
219C22⋊Dic5—24no—
220C22⋊Dic5—24no—
221C22⋊Dic5—24no—
222C22⋊Dic5—24no—
223C22⋊Dic5—41no—
224C22⋊Dic5C3×D418yescomplemented
225C4⋊Dic5—24no—
226C4⋊Dic5—41no—
227C4×Dic5—24no—
228C4×Dic5—41no—
229C2×#120C3×D511yescharacteristic
230C2×C4×D4—52no—
231C22×C22⋊C4—52no—
232#390—51no—
233#388—52no—
234#386—51no—
235#386—52no—
236#385—52no—
237C4×C22⋊C4—52no—
238C22×C3×C5—24no—
239C22×C3×C5—24no—
240C22×C3×C5—24no—
241C22×C3×C5—24no—
242C22×C3×C5—24no—
243C22×C3×C5—24no—
244C22×C3×C5—24no—
245C22×C3×C5—24no—
246C22×C3×C5—22no—
247C22×C3×C5—22no—
248C22×C3×C5—416no—
249C22×C3×C5—41no—
250C22×C3×C5—41no—
251C22×C3×C5—42no—
252C22×C3×C5—42no—
253C22×C3×C5—41no—
254C22×C3×C5—41no—
255C22×C3×C5C4×D418yescomplemented
256C22×C3×C5C23×C411yescharacteristic
257C22×C3×C5C22×D412yes—
258C22×C3×C5C2×#4112yes—
259C22×C3×C5H(5,𝔽2)11yescharacteristic
260C22×C3×C5H(5,𝔽2)11yescharacteristic
261C3×C4×C5—24no—
262C3×C4×C5—22no—
263C3×Dic5—24no—
264C3×Dic5—24no—
265C3×Dic5—42no—
266C3×Dic5—42no—
267C24×C3—24no—
268C24×C3—24no—
269C24×C3—41no—
270C24×C3—41no—
271C24×C3C2×Dic514yescomplemented
272C24×C3C22×D511yescharacteristic
273C24×C3C22×D511yescharacteristic
274C24×C3C22×D512yes—
275C2×C3×D4—24no—
276C2×C3×D4—24no—
277C2×C3×D4—41no—
278C2×C3×D4—41no—
279C2×C3×D4C2×Dic518yescomplemented
280C2×C3×D4C2×Dic514yescomplemented
281C22×C3×C4—52no—
282C22×C3×C4—52no—
283C22×C3×C4—52no—
284C22×C3×C4—52no—
285C22×C3×C4—104no—
286C22×C3×C4—104no—
287C22×C3×C4—104no—
288C22×C3×C4—104no—
289C22×C3×C4—104no—
290C22×C3×C4—202no—
291C22×C3×C4—201no—
292C22×C3×C4—202no—
293C22×C3×C4C22×D512yes—
294C22×C3×C4C22×D511yescharacteristic
295C3×C4⋊C4—104no—
296C3×C4⋊C4—201no—
297C3×C22⋊C4—58no—
298C3×C22⋊C4—104no—
299C3×C22⋊C4—104no—
300C3×C22⋊C4—104no—
301C3×C22⋊C4—104no—
302C3×C22⋊C4—201no—
303C3×C22⋊C4C2×Dic514yescomplemented
304C3×C22⋊C4C2×Dic518yescomplemented
305C3×C42—104no—
306C3×C42—201no—
307C23×C5—22no—
308C23×C5—22no—
309C23×C5—22no—
310C23×C5—22no—
311C23×C5—216no—
312C23×C5—22no—
313C23×C5—22no—
314C23×C5—22no—
315C23×C5—22no—
316C23×C5—21no—
317C23×C5—21no—
318C23×C5—21no—
319C23×C5—21no—
320C23×C5—44no—
321C23×C5—44no—
322C23×C5—48no—
323C23×C5—44no—
324C23×C5C22×C3×C412yes—
325C23×C5C22×C3×C412yes—
326C23×C5C22×C3×C414yes—
327C23×C5C2×C3×D414yes—
328C23×C5C3×#4114yes—
329C23×C5C24×C311yescharacteristic
330C5×D4—216no—
331C5×D4—44no—
332C2×C4×C5—22no—
333C2×C4×C5—22no—
334C2×C4×C5—21no—
335C2×C4×C5—21no—
336C2×C4×C5C22×C3×C414yes—
337C2×C4×C5C22×C3×C412yes—
338C2×Dic5—22no—
339C2×Dic5—22no—
340C2×Dic5—22no—
341C2×Dic5—22no—
342C2×Dic5—22no—
343C2×Dic5—22no—
344C2×Dic5—22no—
345C2×Dic5—22no—
346C2×Dic5—22no—
347C2×Dic5—22no—
348C2×Dic5—44no—
349C2×Dic5—48no—
350C2×Dic5—48no—
351C2×Dic5C2×C3×D414yes—
352C2×Dic5C2×C3×D414yes—
353C25C2×C3×D511yescharacteristic
354C22×D4C2×C3×D512yes—
355C22×D4C2×C3×D511yescharacteristic
356C23×C4—52no—
357C23×C4—52no—
358C23×C4—51no—
359#120C3×Dic518yescomplemented
360C4×D4—108no—
361C2×C4⋊C4—52no—
362C2×C4⋊C4—51no—
363C2×C22⋊C4—52no—
364C2×C22⋊C4—52no—
365C2×C22⋊C4—52no—
366C2×C22⋊C4—52no—
367C2×C22⋊C4—52no—
368C2×C22⋊C4—51no—
369C2×C22⋊C4—108no—
370C2×C22⋊C4C2×C3×D512yes—
371C2×C22⋊C4C2×C3×D511yescharacteristic
372C2×C42—52no—
373C2×C42—51no—
374#95—52no—
375#95—52no—
376#95—52no—
377C2×C3×C5—28no—
378C2×C3×C5—42no—
379C2×C3×C5—42no—
380C2×C3×C5C2×C4×D412yes—
381C2×C3×C5#51811yescharacteristic
382C2×C3×C5D4211yescharacteristic
383C2×C3×C5#54612yes—
384C2×C3×C5#55111yescharacteristic
385C23×C3—22no—
386C23×C3—22no—
387C23×C3—22no—
388C23×C3—22no—
389C23×C3—22no—
390C23×C3—22no—
391C23×C3—22no—
392C23×C3—22no—
393C23×C3—21no—
394C23×C3—21no—
395C23×C3—21no—
396C23×C3—21no—
397C23×C3—216no—
398C23×C3—44no—
399C23×C3—44no—
400C23×C3—44no—
401C23×C3—48no—
402C23×C3D4×D514yes—
403C23×C3#71114yes—
404C23×C3C22×Dic512yes—
405C23×C3C22×Dic512yes—
406C23×C3C22×Dic514yes—
407C23×C3C23×D511yescharacteristic
408C3×D4—216no—
409C3×D4—44no—
410C2×C3×C4—22no—
411C2×C3×C4—22no—
412C2×C3×C4—21no—
413C2×C3×C4—21no—
414C2×C3×C4—54no—
415C2×C3×C4—54no—
416C2×C3×C4—102no—
417C2×C3×C4—102no—
418C2×C3×C4—102no—
419C2×C3×C4—102no—
420C2×C3×C4—102no—
421C2×C3×C4—102no—
422C2×C3×C4—102no—
423C2×C3×C4—102no—
424C2×C3×C4—102no—
425C2×C3×C4—102no—
426C2×C3×C4—204no—
427C2×C3×C4—208no—
428C2×C3×C4—208no—
429C2×C3×C4C22×Dic514yes—
430C2×C3×C4C22×Dic512yes—
431C22×C5—24no—
432C22×C5—24no—
433C22×C5—24no—
434C22×C5—24no—
435C22×C5—24no—
436C22×C5—24no—
437C22×C5—24no—
438C22×C5—24no—
439C22×C5—22no—
440C22×C5—22no—
441C22×C5—416no—
442C22×C5—41no—
443C22×C5—41no—
444C22×C5—42no—
445C22×C5—42no—
446C22×C5—41no—
447C22×C5—41no—
448C22×C5C3×C4×D418yescomplemented
449C22×C5C23×C3×C411yescharacteristic
450C22×C5C22×C3×D412yes—
451C22×C5C2×C3×#4112yes—
452C22×C5C3×H(5,𝔽2)11yescharacteristic
453C22×C5C3×H(5,𝔽2)11yescharacteristic
454C4×C5—24no—
455C4×C5—22no—
456Dic5—24no—
457Dic5—24no—
458Dic5—42no—
459Dic5—42no—
460C24—24no—
461C24—24no—
462C24—41no—
463C24—41no—
464C24C2×C3×Dic514yescomplemented
465C24C22×C3×D511yescharacteristic
466C24C22×C3×D511yescharacteristic
467C24C22×C3×D512yes—
468C2×D4—24no—
469C2×D4—24no—
470C2×D4—41no—
471C2×D4—41no—
472C2×D4C2×C3×Dic518yescomplemented
473C2×D4C2×C3×Dic514yescomplemented
474C22×C4—52no—
475C22×C4—52no—
476C22×C4—52no—
477C22×C4—52no—
478C22×C4—104no—
479C22×C4—104no—
480C22×C4—104no—
481C22×C4—104no—
482C22×C4—104no—
483C22×C4—202no—
484C22×C4—201no—
485C22×C4—202no—
486C22×C4C22×C3×D512yes—
487C22×C4C22×C3×D511yescharacteristic
488C4⋊C4—104no—
489C4⋊C4—201no—
490C22⋊C4—58no—
491C22⋊C4—104no—
492C22⋊C4—104no—
493C22⋊C4—104no—
494C22⋊C4—104no—
495C22⋊C4—201no—
496C22⋊C4C2×C3×Dic514yescomplemented
497C22⋊C4C2×C3×Dic518yescomplemented
498C42—104no—
499C42—201no—
500C3×C5#235811yescharacteristic, complemented, Hall
501C22×C3—24no—
502C22×C3—24no—
503C22×C3—24no—
504C22×C3—24no—
505C22×C3—24no—
506C22×C3—24no—
507C22×C3—24no—
508C22×C3—24no—
509C22×C3—22no—
510C22×C3—22no—
511C22×C3—416no—
512C22×C3—41no—
513C22×C3—41no—
514C22×C3—41no—
515C22×C3—41no—
516C22×C3—42no—
517C22×C3—42no—
518C22×C3D4×Dic518yescomplemented
519C22×C3C2×D4×D512yes—
520C22×C3C2×#71112yes—
521C22×C3#414411yescharacteristic
522C22×C3#414411yescharacteristic
523C22×C3C23×Dic511yescharacteristic
524C3×C4—24no—
525C3×C4—22no—
526C3×C4—104no—
527C3×C4—104no—
528C3×C4—202no—
529C3×C4—202no—
530C2×C5—28no—
531C2×C5—42no—
532C2×C5—42no—
533C2×C5C2×C3×C4×D412yes—
534C2×C5C3×#51811yescharacteristic
535C2×C5C3×D4211yescharacteristic
536C2×C5C3×#54612yes—
537C2×C5C3×#55111yescharacteristic
538C23—22no—
539C23—22no—
540C23—22no—
541C23—22no—
542C23—216no—
543C23—22no—
544C23—22no—
545C23—22no—
546C23—22no—
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—44no—
552C23—44no—
553C23—44no—
554C23—48no—
555C23C3×D4×D514yes—
556C23C3×#71114yes—
557C23C22×C3×Dic512yes—
558C23C22×C3×Dic512yes—
559C23C22×C3×Dic514yes—
560C23C23×C3×D511yescharacteristic
561D4—216no—
562D4—44no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—54no—
568C2×C4—54no—
569C2×C4—102no—
570C2×C4—102no—
571C2×C4—102no—
572C2×C4—102no—
573C2×C4—102no—
574C2×C4—102no—
575C2×C4—102no—
576C2×C4—102no—
577C2×C4—102no—
578C2×C4—102no—
579C2×C4—204no—
580C2×C4—208no—
581C2×C4—208no—
582C2×C4C22×C3×Dic514yes—
583C2×C4C22×C3×Dic512yes—
584C2×C3—28no—
585C2×C3—42no—
586C2×C3—42no—
587C2×C3#6592111yescharacteristic
588C2×C3#6592411yescharacteristic
589C2×C3#6592512yes—
590C2×C3C2×D4×Dic512yes—
591C2×C3#6613211yescharacteristic
592C5C3×#235811yescharacteristic, complemented, Sylow
593C22—24no—
594C22—24no—
595C22—24no—
596C22—24no—
597C22—24no—
598C22—24no—
599C22—24no—
600C22—24no—
601C22—22no—
602C22—22no—
603C22—416no—
604C22—41no—
605C22—41no—
606C22—41no—
607C22—41no—
608C22—42no—
609C22—42no—
610C22C3×D4×Dic518yescomplemented
611C22C2×C3×D4×D512yes—
612C22C2×C3×#71112yes—
613C22C3×#414411yescharacteristic
614C22C3×#414411yescharacteristic
615C22C23×C3×Dic511yescharacteristic
616C4—24no—
617C4—22no—
618C4—104no—
619C4—104no—
620C4—202no—
621C4—202no—
622C3#1061431011yescharacteristic, direct product factor, Sylow
623C2—28no—
624C2—42no—
625C2—42no—
626C2C3×#6592111yescharacteristic
627C2C3×#6592411yescharacteristic
628C2C3×#6592512yes—
629C2C2×C3×D4×Dic512yes—
630C2C3×#6613211yescharacteristic
subgroupG/H
centerC23×C3C23×D5
commutatorC22×C5C23×C3×C4
FrattiniC23C23×C3×D5
Fitting, prime radicalC2×C3×C5×#120C2
socleC23×C3×C5C24
cosocleC23×C5C24×C3
hypercenterC2×C3×#120D5
hypocenterC5C3×#2358
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23×C3 ◁ C2×C3×#120

Complements

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

NH ≅ G/Ntype
2. C22×C3×C22⋊Dic5C2semidirect
3. C2×C3×D4×Dic5C2semidirect
4. C3×#65510C2semidirect
5. C3×#65509C2semidirect
6. C3×#65509C2semidirect
7. C3×#65240C2semidirect
8. C3×#65239C2semidirect
9. C3×C22⋊C4×Dic5C2semidirect
10. #10614310C3direct (N × H)
16. C23×C3×Dic5C22semidirect
17. C3×C5×#120C4semidirect
25. C2×C3×C22⋊Dic5C22semidirect
26. C2×C3×C22⋊Dic5C22semidirect
28. C2×C3×C4⋊Dic5C22semidirect
29. C2×C3×C4⋊Dic5C22semidirect
30. C2×C3×C4×Dic5C22semidirect
31. C2×C3×C4×Dic5C22semidirect
32. C3×#3963C22semidirect
33. C3×#3963C22semidirect
34. C3×#3963C22semidirect
37. C22×C22⋊Dic5C2×C3semidirect
38. C2×D4×Dic5C2×C3semidirect
39. #65510C2×C3semidirect
40. #65509C2×C3semidirect
41. #65509C2×C3semidirect
42. #65240C2×C3semidirect
43. #65239C2×C3semidirect
44. C22⋊C4×Dic5C2×C3semidirect
49. C24×C3×C5C2×C4semidirect
57. C2×C3×C5×D4C2×C4semidirect
58. C2×C3×C5×D4C2×C4semidirect
73. C3×C5×C22⋊C4C2×C4semidirect
74. C3×C5×C22⋊C4C2×C4semidirect
80. C3×C22⋊Dic5D4semidirect
99. C23×Dic5C22×C3semidirect
100. C5×#120C3×C4semidirect
108. C2×C22⋊Dic5C22×C3semidirect
109. C2×C22⋊Dic5C22×C3semidirect
111. C2×C4⋊Dic5C22×C3semidirect
112. C2×C4⋊Dic5C22×C3semidirect
113. C2×C4×Dic5C22×C3semidirect
114. C2×C4×Dic5C22×C3semidirect
115. #3963C22×C3semidirect
116. #3963C22×C3semidirect
117. #3963C22×C3semidirect
171. C3×#120Dic5semidirect
193. C24×C5C2×C3×C4semidirect
201. C2×C5×D4C2×C3×C4semidirect
202. C2×C5×D4C2×C3×C4semidirect
217. C5×C22⋊C4C2×C3×C4semidirect
218. C5×C22⋊C4C2×C3×C4semidirect
224. C22⋊Dic5C3×D4semidirect
255. C22×C3×C5C4×D4semidirect
271. C24×C3C2×Dic5semidirect
279. C2×C3×D4C2×Dic5semidirect
280. C2×C3×D4C2×Dic5semidirect
303. C3×C22⋊C4C2×Dic5semidirect
304. C3×C22⋊C4C2×Dic5semidirect
359. #120C3×Dic5semidirect
448. C22×C5C3×C4×D4semidirect
464. C24C2×C3×Dic5semidirect
472. C2×D4C2×C3×Dic5semidirect
473. C2×D4C2×C3×Dic5semidirect
496. C22⋊C4C2×C3×Dic5semidirect
497. C22⋊C4C2×C3×Dic5semidirect
500. C3×C5#2358semidirect
518. C22×C3D4×Dic5semidirect
592. C5C3×#2358semidirect
610. C22C3×D4×Dic5semidirect
622. C3#10614310direct (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×#1202
C22×C3×C22⋊Dic52
C2×C3×D4×Dic52
C3×#655102
C3×#655092
C3×#652402
C3×#652392
C3×C22⋊C4×Dic52
#106143103
C3×#23585