Finite Group Databasebeta

← C2×C3×#65283 #14331687

Subgroups — C2×C3×#65283 #14331687

Order 1920.

1816 conjugacy classes of subgroups.

The subgroup lattice has 608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×C5×C4⋊C4C211yesmaximal, characteristic, complemented
2C22×C3×#685C211yesmaximal, characteristic
3C22×C3×#685C211yesmaximal, characteristic
4C22×C3×#685C211yesmaximal, characteristic
5C22×C3×C4⋊Dic5C211yesmaximal, characteristic, complemented
6C22×C3×#683C211yesmaximal, characteristic, complemented
7C2×C3×#3963C211yesmaximal, characteristic, complemented
8C3×#65283C218yesmaximal, direct product factor
9C2×#65283C311yesmaximal, characteristic, direct product factor, Hall
10C24×C3×D5C2211yescharacteristic
11C23×C3×C4×C5C2211yescharacteristic
12C23×C3×C4×C5C2211yescharacteristic
13C23×C3×C4×C5C2211yescharacteristic
14C23×C3×Dic5C2211yescharacteristic
15C23×C3×Dic5C2211yescharacteristic
16C23×C3×Dic5C2211yescharacteristic
17C2×C3×C5×C4⋊C4—24no—
18C2×C3×C5×C4⋊C4C2214yescomplemented
19C2×C3×#685—24no—
20C2×C3×#685—24no—
21C2×C3×#685—24no—
22C2×C3×#685C2214yes—
23C2×C3×#685C2214yes—
24C2×C3×#685C2214yes—
25C2×C3×C4⋊Dic5—24no—
26C2×C3×C4⋊Dic5C2214yescomplemented
27C2×C3×#683—24no—
28C2×C3×#683C2214yescomplemented
29C3×#3963C2214yescomplemented
30C2×C3×#396—51nomaximal, Hall
31C22×C5×C4⋊C4C2×C311yescharacteristic, complemented
32C22×#685C2×C311yescharacteristic
33C22×#685C2×C311yescharacteristic
34C22×#685C2×C311yescharacteristic
35C22×C4⋊Dic5C2×C311yescharacteristic, complemented
36C22×#683C2×C311yescharacteristic, complemented
37C2×#3963C2×C311yescharacteristic, complemented
38#65283C2×C318yesdirect product factor
39C24×C3×C5C2311yescharacteristic
40C23×C3×D5—22no—
41C23×C3×D5—22no—
42C23×C3×D5—22no—
43C23×C3×D5—22no—
44C23×C3×D5—22no—
45C23×C3×D5—22no—
46C23×C3×D5Q814yes—
47C23×C3×D5C2312yes—
48C22×C3×C4×C5—22no—
49C22×C3×C4×C5—22no—
50C22×C3×C4×C5—22no—
51C22×C3×C4×C5—22no—
52C22×C3×C4×C5—22no—
53C22×C3×C4×C5—22no—
54C22×C3×C4×C5—22no—
55C22×C3×C4×C5D414yes—
56C22×C3×C4×C5D414yes—
57C22×C3×C4×C5C2312yes—
58C22×C3×C4×C5C2312yes—
59C22×C3×C4×C5C2312yes—
60C22×C3×Dic5—22no—
61C22×C3×Dic5—22no—
62C22×C3×Dic5—22no—
63C22×C3×Dic5—22no—
64C22×C3×Dic5—22no—
65C22×C3×Dic5—22no—
66C22×C3×Dic5—22no—
67C22×C3×Dic5—22no—
68C22×C3×Dic5D414yes—
69C22×C3×Dic5C2312yes—
70C22×C3×Dic5C2312yes—
71C22×C3×Dic5C2312yes—
72C3×C5×C4⋊C4—28no—
73C3×#685—28no—
74C3×#685—28no—
75C3×#685—28no—
76C3×C4⋊Dic5—28no—
77C3×#683—28no—
78C22×C3×C4⋊C4—51no—
79C22×C3×C4⋊C4—51no—
80C22×C3×C4⋊C4D511yescharacteristic, complemented
81C22×C3×C22⋊C4—51no—
82C22×C3×C22⋊C4—51no—
83C22×C3×C22⋊C4—51no—
84C3×#396—58no—
85C2×C3×#95—51no—
86C24×D5C22×C311yescharacteristic
87C23×C4×C5C22×C311yescharacteristic
88C23×C4×C5C22×C311yescharacteristic
89C23×C4×C5C22×C311yescharacteristic
90C23×Dic5C22×C311yescharacteristic
91C23×Dic5C22×C311yescharacteristic
92C23×Dic5C22×C311yescharacteristic
93C2×C5×C4⋊C4—24no—
94C2×C5×C4⋊C4C22×C314yescomplemented
95C2×#685—24no—
96C2×#685—24no—
97C2×#685—24no—
98C2×#685C22×C314yes—
99C2×#685C22×C314yes—
100C2×#685C22×C314yes—
101C2×C4⋊Dic5—24no—
102C2×C4⋊Dic5C22×C314yescomplemented
103C2×#683—24no—
104C2×#683C22×C314yescomplemented
105#3963C22×C314yescomplemented
106C2×#396—51noSylow
107C23×C3×C5C2×D412yes—
108C23×C3×C5C2×D412yes—
109C23×C3×C5C2×D412yes—
110C23×C3×C5C2×Q812yes—
111C23×C3×C5#4112yes—
112C23×C3×C5#4112yes—
113C23×C3×C5#4112yes—
114C23×C3×C5C2411yescharacteristic
115C22×C3×D5—28no—
116C22×C3×D5—28no—
117C22×C3×D5—28no—
118C22×C3×D5—22no—
119C22×C3×D5—22no—
120C22×C3×D5—22no—
121C22×C3×D5—22no—
122C22×C3×D5—22no—
123C22×C3×D5—22no—
124C22×C3×D5—44no—
125C22×C3×D5—44no—
126C22×C3×D5—44no—
127C22×C3×D5—44no—
128C22×C3×D5C2×Q814yes—
129C2×C3×C4×C5—28no—
130C2×C3×C4×C5—28no—
131C2×C3×C4×C5—22no—
132C2×C3×C4×C5—22no—
133C2×C3×C4×C5—22no—
134C2×C3×C4×C5—22no—
135C2×C3×C4×C5—22no—
136C2×C3×C4×C5—22no—
137C2×C3×C4×C5—22no—
138C2×C3×C4×C5—44no—
139C2×C3×C4×C5C2×D414yes—
140C2×C3×C4×C5C2×D414yes—
141C2×C3×Dic5—28no—
142C2×C3×Dic5—22no—
143C2×C3×Dic5—22no—
144C2×C3×Dic5—22no—
145C2×C3×Dic5—22no—
146C2×C3×Dic5—22no—
147C2×C3×Dic5—22no—
148C2×C3×Dic5—22no—
149C2×C3×Dic5—22no—
150C2×C3×Dic5—44no—
151C2×C3×Dic5—44no—
152C2×C3×Dic5C2×D414yes—
153C25×C3—51no—
154C23×C3×C4—51no—
155C23×C3×C4—51no—
156C23×C3×C4—51no—
157C23×C3×C4C2×D511yescharacteristic
158C23×C3×C4C2×D511yescharacteristic
159C23×C3×C4C2×D511yescharacteristic
160C2×C3×C4⋊C4—24no—
161C2×C3×C4⋊C4—54no—
162C2×C3×C4⋊C4—54no—
163C2×C3×C4⋊C4—104no—
164C2×C3×C4⋊C4—104no—
165C2×C3×C4⋊C4C2×D514yescomplemented
166C2×C3×C22⋊C4—54no—
167C2×C3×C22⋊C4—54no—
168C2×C3×C22⋊C4—54no—
169C2×C3×C22⋊C4—104no—
170C2×C3×C22⋊C4—104no—
171C2×C3×C22⋊C4—104no—
172C3×#95—54no—
173C24×C5C23×C311yescharacteristic
174C23×D5—22no—
175C23×D5—22no—
176C23×D5—22no—
177C23×D5—22no—
178C23×D5—22no—
179C23×D5—22no—
180C23×D5C3×Q814yes—
181C23×D5C23×C312yes—
182C22×C4×C5—22no—
183C22×C4×C5—22no—
184C22×C4×C5—22no—
185C22×C4×C5—22no—
186C22×C4×C5—22no—
187C22×C4×C5—22no—
188C22×C4×C5—22no—
189C22×C4×C5C3×D414yes—
190C22×C4×C5C3×D414yes—
191C22×C4×C5C23×C312yes—
192C22×C4×C5C23×C312yes—
193C22×C4×C5C23×C312yes—
194C22×Dic5—22no—
195C22×Dic5—22no—
196C22×Dic5—22no—
197C22×Dic5—22no—
198C22×Dic5—22no—
199C22×Dic5—22no—
200C22×Dic5—22no—
201C22×Dic5—22no—
202C22×Dic5C3×D414yes—
203C22×Dic5C23×C312yes—
204C22×Dic5C23×C312yes—
205C22×Dic5C23×C312yes—
206C5×C4⋊C4—28no—
207#685—28no—
208#685—28no—
209#685—28no—
210C4⋊Dic5—28no—
211#683—28no—
212C22×C4⋊C4—51no—
213C22×C4⋊C4—51no—
214C22×C4⋊C4C3×D511yescharacteristic, complemented
215C22×C22⋊C4—51no—
216C22×C22⋊C4—51no—
217C22×C22⋊C4—51no—
218#396—58no—
219C2×#95—51no—
220C22×C3×C5#12114yes—
221C22×C3×C5#12114yes—
222C22×C3×C5#12114yes—
223C22×C3×C5C22⋊Q814yes—
224C22×C3×C5C22⋊Q814yes—
225C22×C3×C5C22⋊Q814yes—
226C22×C3×C5#12614yes—
227C22×C3×C5C22×D411yescharacteristic
228C22×C3×C5C22×D411yescharacteristic
229C22×C3×C5C22×D411yescharacteristic
230C22×C3×C5C22×Q811yescharacteristic
231C22×C3×C5C2×#4111yescharacteristic
232C22×C3×C5C2×#4111yescharacteristic
233C22×C3×C5C2×#4111yescharacteristic
234C2×C3×D5—24no—
235C2×C3×D5—24no—
236C2×C3×D5—24no—
237C2×C3×D5—42no—
238C2×C3×D5—42no—
239C2×C3×D5—42no—
240C2×C3×D5—42no—
241C2×C3×D5—416no—
242C3×C4×C5—24no—
243C3×C4×C5—24no—
244C3×C4×C5—42no—
245C3×Dic5—24no—
246C3×Dic5—42no—
247C3×Dic5—42no—
248C24×C3—54no—
249C24×C3—52no—
250C24×C3—102no—
251C24×C3—102no—
252C24×C3—102no—
253C24×C3—102no—
254C24×C3—102no—
255C24×C3—102no—
256C24×C3C22×D511yescharacteristic
257C22×C3×C4—22no—
258C22×C3×C4—22no—
259C22×C3×C4—22no—
260C22×C3×C4—22no—
261C22×C3×C4—22no—
262C22×C3×C4—22no—
263C22×C3×C4—22no—
264C22×C3×C4—54no—
265C22×C3×C4—52no—
266C22×C3×C4—52no—
267C22×C3×C4—52no—
268C22×C3×C4—102no—
269C22×C3×C4—102no—
270C22×C3×C4—102no—
271C22×C3×C4—102no—
272C22×C3×C4—102no—
273C22×C3×C4—102no—
274C22×C3×C4—102no—
275C22×C3×C4—102no—
276C22×C3×C4D2014yes—
277C22×C3×C4C22⋊D514yes—
278C22×C3×C4C22×D512yes—
279C22×C3×C4C22×D512yes—
280C22×C3×C4C22×D512yes—
281C3×C4⋊C4—28no—
282C3×C4⋊C4—108no—
283C3×C4⋊C4—108no—
284C3×C22⋊C4—108no—
285C3×C22⋊C4—108no—
286C3×C22⋊C4—108no—
287C23×C5C2×C3×D412yes—
288C23×C5C2×C3×D412yes—
289C23×C5C2×C3×D412yes—
290C23×C5C2×C3×Q812yes—
291C23×C5C3×#4112yes—
292C23×C5C3×#4112yes—
293C23×C5C3×#4112yes—
294C23×C5C24×C311yescharacteristic
295C22×D5—28no—
296C22×D5—28no—
297C22×D5—28no—
298C22×D5—22no—
299C22×D5—22no—
300C22×D5—22no—
301C22×D5—22no—
302C22×D5—22no—
303C22×D5—22no—
304C22×D5—44no—
305C22×D5—44no—
306C22×D5—44no—
307C22×D5—44no—
308C22×D5C2×C3×Q814yes—
309C2×C4×C5—28no—
310C2×C4×C5—28no—
311C2×C4×C5—22no—
312C2×C4×C5—22no—
313C2×C4×C5—22no—
314C2×C4×C5—22no—
315C2×C4×C5—22no—
316C2×C4×C5—22no—
317C2×C4×C5—22no—
318C2×C4×C5—44no—
319C2×C4×C5C2×C3×D414yes—
320C2×C4×C5C2×C3×D414yes—
321C2×Dic5—28no—
322C2×Dic5—22no—
323C2×Dic5—22no—
324C2×Dic5—22no—
325C2×Dic5—22no—
326C2×Dic5—22no—
327C2×Dic5—22no—
328C2×Dic5—22no—
329C2×Dic5—22no—
330C2×Dic5—44no—
331C2×Dic5—44no—
332C2×Dic5C2×C3×D414yes—
333C25—51no—
334C23×C4—51no—
335C23×C4—51no—
336C23×C4—51no—
337C23×C4C2×C3×D511yescharacteristic
338C23×C4C2×C3×D511yescharacteristic
339C23×C4C2×C3×D511yescharacteristic
340C2×C4⋊C4—24no—
341C2×C4⋊C4—54no—
342C2×C4⋊C4—54no—
343C2×C4⋊C4—104no—
344C2×C4⋊C4—104no—
345C2×C4⋊C4C2×C3×D514yescomplemented
346C2×C22⋊C4—54no—
347C2×C22⋊C4—54no—
348C2×C22⋊C4—54no—
349C2×C22⋊C4—104no—
350C2×C22⋊C4—104no—
351C2×C22⋊C4—104no—
352#95—54no—
353C2×C3×C5#39618yescomplemented
354C2×C3×C5C2×#12111yescharacteristic
355C2×C3×C5C2×#12111yescharacteristic
356C2×C3×C5C2×#12111yescharacteristic
357C2×C3×C5C2×C22⋊Q811yescharacteristic
358C2×C3×C5C2×C22⋊Q811yescharacteristic
359C2×C3×C5C2×C22⋊Q811yescharacteristic
360C2×C3×C5C2×#12611yescharacteristic
361C3×D5—44no—
362C23×C3—54no—
363C23×C3—102no—
364C23×C3—102no—
365C23×C3—102no—
366C23×C3—102no—
367C23×C3—102no—
368C23×C3—102no—
369C23×C3—108no—
370C23×C3—108no—
371C23×C3—108no—
372C23×C3—204no—
373C23×C3—204no—
374C23×C3—204no—
375C23×C3—204no—
376C23×C3C2×D2012yes—
377C23×C3#70912yes—
378C23×C3D4×D512yes—
379C23×C3#71112yes—
380C23×C3Q8×D512yes—
381C23×C3#71312yes—
382C23×C3C2×C22⋊D512yes—
383C23×C3C23×D511yescharacteristic
384C2×C3×C4—22no—
385C2×C3×C4—22no—
386C2×C3×C4—22no—
387C2×C3×C4—22no—
388C2×C3×C4—28no—
389C2×C3×C4—28no—
390C2×C3×C4—22no—
391C2×C3×C4—22no—
392C2×C3×C4—22no—
393C2×C3×C4—44no—
394C2×C3×C4—54no—
395C2×C3×C4—102no—
396C2×C3×C4—102no—
397C2×C3×C4—108no—
398C2×C3×C4—102no—
399C2×C3×C4—102no—
400C2×C3×C4—102no—
401C2×C3×C4—102no—
402C2×C3×C4—102no—
403C2×C3×C4—102no—
404C2×C3×C4—204no—
405C2×C3×C4—204no—
406C2×C3×C4C2×D2014yes—
407C2×C3×C4C2×C22⋊D514yes—
408C22×C5C3×#12114yes—
409C22×C5C3×#12114yes—
410C22×C5C3×#12114yes—
411C22×C5C3×C22⋊Q814yes—
412C22×C5C3×C22⋊Q814yes—
413C22×C5C3×C22⋊Q814yes—
414C22×C5C3×#12614yes—
415C22×C5C22×C3×D411yescharacteristic
416C22×C5C22×C3×D411yescharacteristic
417C22×C5C22×C3×D411yescharacteristic
418C22×C5C22×C3×Q811yescharacteristic
419C22×C5C2×C3×#4111yescharacteristic
420C22×C5C2×C3×#4111yescharacteristic
421C22×C5C2×C3×#4111yescharacteristic
422C2×D5—24no—
423C2×D5—24no—
424C2×D5—24no—
425C2×D5—416no—
426C2×D5—42no—
427C2×D5—42no—
428C2×D5—42no—
429C2×D5—42no—
430C4×C5—24no—
431C4×C5—24no—
432C4×C5—42no—
433Dic5—24no—
434Dic5—42no—
435Dic5—42no—
436C24—54no—
437C24—52no—
438C24—102no—
439C24—102no—
440C24—102no—
441C24—102no—
442C24—102no—
443C24—102no—
444C24C22×C3×D511yescharacteristic
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—54no—
453C22×C4—52no—
454C22×C4—52no—
455C22×C4—52no—
456C22×C4—102no—
457C22×C4—102no—
458C22×C4—102no—
459C22×C4—102no—
460C22×C4—102no—
461C22×C4—102no—
462C22×C4—102no—
463C22×C4—102no—
464C22×C4C3×D2014yes—
465C22×C4C3×C22⋊D514yes—
466C22×C4C22×C3×D512yes—
467C22×C4C22×C3×D512yes—
468C22×C4C22×C3×D512yes—
469C4⋊C4—28no—
470C4⋊C4—108no—
471C4⋊C4—108no—
472C22⋊C4—108no—
473C22⋊C4—108no—
474C22⋊C4—108no—
475C3×C5C2×#39611yescharacteristic, complemented, Hall
476C22×C3—104no—
477C22×C3—104no—
478C22×C3—104no—
479C22×C3—2016no—
480C22×C3—202no—
481C22×C3—202no—
482C22×C3—202no—
483C22×C3—202no—
484C22×C3#404114yes—
485C22×C3#404214yes—
486C22×C3#404314yes—
487C22×C3#404414yes—
488C22×C3#407614yes—
489C22×C3#408514yes—
490C22×C3#409214yes—
491C22×C3C22×D2011yescharacteristic
492C22×C3C2×#70911yescharacteristic
493C22×C3C2×D4×D511yescharacteristic
494C22×C3C2×#71111yescharacteristic
495C22×C3C2×Q8×D511yescharacteristic
496C22×C3C2×#71311yescharacteristic
497C22×C3C22×C22⋊D511yescharacteristic
498C3×C4—24no—
499C3×C4—24no—
500C3×C4—42no—
501C3×C4—104no—
502C3×C4—202no—
503C3×C4—202no—
504C2×C5C3×#39618yescomplemented
505C2×C5C2×C3×#12111yescharacteristic
506C2×C5C2×C3×#12111yescharacteristic
507C2×C5C2×C3×#12111yescharacteristic
508C2×C5C2×C3×C22⋊Q811yescharacteristic
509C2×C5C2×C3×C22⋊Q811yescharacteristic
510C2×C5C2×C3×C22⋊Q811yescharacteristic
511C2×C5C2×C3×#12611yescharacteristic
512D5—44no—
513C23—54no—
514C23—108no—
515C23—102no—
516C23—102no—
517C23—102no—
518C23—102no—
519C23—102no—
520C23—102no—
521C23—108no—
522C23—108no—
523C23—204no—
524C23—204no—
525C23—204no—
526C23—204no—
527C23C2×C3×D2012yes—
528C23C3×#70912yes—
529C23C3×D4×D512yes—
530C23C3×#71112yes—
531C23C3×Q8×D512yes—
532C23C3×#71312yes—
533C23C2×C3×C22⋊D512yes—
534C23C23×C3×D511yescharacteristic
535C2×C4—28no—
536C2×C4—22no—
537C2×C4—22no—
538C2×C4—22no—
539C2×C4—22no—
540C2×C4—28no—
541C2×C4—22no—
542C2×C4—22no—
543C2×C4—22no—
544C2×C4—44no—
545C2×C4—54no—
546C2×C4—102no—
547C2×C4—102no—
548C2×C4—108no—
549C2×C4—102no—
550C2×C4—102no—
551C2×C4—102no—
552C2×C4—102no—
553C2×C4—102no—
554C2×C4—102no—
555C2×C4—204no—
556C2×C4—204no—
557C2×C4C2×C3×D2014yes—
558C2×C4C2×C3×C22⋊D514yes—
559C2×C3—204no—
560C2×C3#6528318yesdirect product factor
561C2×C3C2×#404111yescharacteristic
562C2×C3C2×#404211yescharacteristic
563C2×C3C2×#404311yescharacteristic
564C2×C3C2×#404411yescharacteristic
565C2×C3C2×#407611yescharacteristic
566C2×C3C2×#408511yescharacteristic
567C2×C3C2×#409211yescharacteristic
568C5C2×C3×#39611yescharacteristic, complemented, Sylow
569C22—104no—
570C22—104no—
571C22—104no—
572C22—2016no—
573C22—202no—
574C22—202no—
575C22—202no—
576C22—202no—
577C22C3×#404114yes—
578C22C3×#404214yes—
579C22C3×#404314yes—
580C22C3×#404414yes—
581C22C3×#407614yes—
582C22C3×#408514yes—
583C22C3×#409214yes—
584C22C22×C3×D2011yescharacteristic
585C22C2×C3×#70911yescharacteristic
586C22C2×C3×D4×D511yescharacteristic
587C22C2×C3×#71111yescharacteristic
588C22C2×C3×Q8×D511yescharacteristic
589C22C2×C3×#71311yescharacteristic
590C22C22×C3×C22⋊D511yescharacteristic
591C4—24no—
592C4—24no—
593C4—42no—
594C4—104no—
595C4—202no—
596C4—202no—
597C3C2×#6528311yescharacteristic, direct product factor, Sylow
598C2—204no—
599C2C3×#6528318yesdirect product factor
600C2C2×C3×#404111yescharacteristic
601C2C2×C3×#404211yescharacteristic
602C2C2×C3×#404311yescharacteristic
603C2C2×C3×#404411yescharacteristic
604C2C2×C3×#407611yescharacteristic
605C2C2×C3×#408511yescharacteristic
606C2C2×C3×#409211yescharacteristic
subgroupG/H
centerC24×C3C22×D5
commutator, cosocleC23×C5C24×C3
FrattiniC23C23×C3×D5
FittingC22×C3×C5×C4⋊C4C2
socleC24×C3×C5C23
prime radicalC24×C3×D5C22
hypercenterC22×C3×C4⋊C4D5
hypocenterC5C2×C3×#396
LCSG ▷ C23×C5 ▷ C5
UCSC1 ◁ C24×C3 ◁ C22×C3×C4⋊C4

Complements

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

NH ≅ G/Ntype
1. C22×C3×C5×C4⋊C4C2semidirect
5. C22×C3×C4⋊Dic5C2semidirect
6. C22×C3×#683C2semidirect
7. C2×C3×#3963C2semidirect
8. C3×#65283C2direct (N × H)
9. C2×#65283C3direct (N × H)
18. C2×C3×C5×C4⋊C4C22semidirect
26. C2×C3×C4⋊Dic5C22semidirect
28. C2×C3×#683C22semidirect
29. C3×#3963C22semidirect
31. C22×C5×C4⋊C4C2×C3semidirect
35. C22×C4⋊Dic5C2×C3semidirect
36. C22×#683C2×C3semidirect
37. C2×#3963C2×C3semidirect
38. #65283C2×C3direct (N × H)
80. C22×C3×C4⋊C4D5semidirect
94. C2×C5×C4⋊C4C22×C3semidirect
102. C2×C4⋊Dic5C22×C3semidirect
104. C2×#683C22×C3semidirect
105. #3963C22×C3semidirect
165. C2×C3×C4⋊C4C2×D5semidirect
214. C22×C4⋊C4C3×D5semidirect
345. C2×C4⋊C4C2×C3×D5semidirect
353. C2×C3×C5#396semidirect
475. C3×C5C2×#396semidirect
504. C2×C5C3×#396semidirect
560. C2×C3#65283direct (N × H)
568. C5C2×C3×#396semidirect
597. C3C2×#65283direct (N × H)
599. C2C3×#65283direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C3×C5×C4⋊C42
C22×C3×#6852
C22×C3×C4⋊Dic52
C22×C3×#6832
C2×C3×#39632
C3×#652832
C2×#652833
C2×C3×#3965