Finite Group Databasebeta

← C2×C3×#65458 #14423233

Subgroups — C2×C3×#65458 #14423233

Order 1920.

1992 conjugacy classes of subgroups.

The subgroup lattice has 592 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C3×D4×D5C211yesmaximal, characteristic
2C22×C3×C5×SD16C211yesmaximal, characteristic, complemented
3C2×C3×#4092C211yesmaximal, characteristic, complemented
4C22×C3×#688C211yesmaximal, characteristic, complemented
5C2×C3×#3964C211yesmaximal, characteristic, complemented
6C3×#65458C218yesmaximal, direct product factor
7C2×C3×#3953C211yesmaximal, characteristic, complemented
8C2×C3×#3952C211yesmaximal, characteristic, complemented
9C2×#65458C311yesmaximal, characteristic, direct product factor, Hall
10C24×C3×D5—21no—
11C22×C3×C5×Q8C2211yescharacteristic, complemented
12C22×C3×C5×D4C2211yescharacteristic
13C22×C3×C22⋊D5—21no—
14C2×C3×D4×D5—24no—
15C2×C3×D4×D5—24no—
16C2×C3×D4×D5—22no—
17C2×C3×D4×D5C2214yes—
18C22×C3×D20C2211yescharacteristic
19C22×C3×C4×D5C2211yescharacteristic
20C2×C3×C5×SD16—24no—
21C2×C3×C5×SD16C2214yescomplemented
22C22×C3×C5×C8C2211yescharacteristic, complemented
23C3×#4092—22no—
24C3×#4092C2214yescomplemented
25C2×C3×#688—24no—
26C2×C3×#688C2214yescomplemented
27C2×C3×#685—21no—
28C2×C3×C4⋊Dic5C2211yescharacteristic, complemented
29C2×C3×#683—21no—
30C22×C3×#168C2211yescharacteristic, complemented
31C3×#3964C2214yescomplemented
32C3×#3953C2214yescomplemented
33C3×#3952C2214yescomplemented
34C2×C3×#450—51nomaximal, Hall
35C22×D4×D5C2×C311yescharacteristic
36C22×C5×SD16C2×C311yescharacteristic, complemented
37C2×#4092C2×C311yescharacteristic, complemented
38C22×#688C2×C311yescharacteristic, complemented
39C2×#3964C2×C311yescharacteristic, complemented
40#65458C2×C318yesdirect product factor
41C2×#3953C2×C311yescharacteristic, complemented
42C2×#3952C2×C311yescharacteristic, complemented
43C24×C3×C5—21no—
44C23×C3×D5—28no—
45C23×C3×D5—21no—
46C23×C3×D5—24no—
47C23×C3×D5—44no—
48C23×C3×D5—44no—
49C23×C3×D5D411yescharacteristic
50C2×C3×C5×Q8—21no—
51C2×C3×C5×Q8—22no—
52C2×C3×C5×Q8—22no—
53C2×C3×C5×Q8C2312yescomplemented
54C2×C3×C5×D4—21no—
55C2×C3×C5×D4—22no—
56C2×C3×C5×D4D414yes—
57C2×C3×C5×D4C2312yes—
58C22×C3×C4×C5—21no—
59C22×C3×C4×C5C2311yescharacteristic
60C2×C3×C22⋊D5—28no—
61C2×C3×C22⋊D5—24no—
62C22×C3×Dic5—21no—
63C22×C3×Dic5D411yescharacteristic
64C3×D4×D5—216no—
65C3×D4×D5—28no—
66C3×D4×D5—28no—
67C2×C3×D20—21no—
68C2×C3×D20—22no—
69C2×C3×D20D414yes—
70C2×C3×D20C2312yes—
71C2×C3×C4×D5—22no—
72C2×C3×C4×D5—22no—
73C2×C3×C4×D5D412yes—
74C2×C3×C4×D5C2312yes—
75C3×C5×SD16—28no—
76C2×C3×C5×C8—22no—
77C2×C3×C5×C8C2312yescomplemented
78C3×#688—28no—
79C3×#685—24no—
80C3×C4⋊Dic5—21no—
81C3×C4⋊Dic5C2312yescomplemented
82C3×#683—24no—
83C2×C3×#168—22no—
84C2×C3×#168C2312yescomplemented
85C23×C3×D4—51no—
86C22×C3×SD16—51no—
87C22×C3×SD16D511yescharacteristic, complemented
88C2×C3×C22⋊Q8—51no—
89C3×#450—58no—
90C2×C3×#102—51no—
91C2×C3×#102—51no—
92C2×C3×C22⋊C8—51no—
93C24×D5—21no—
94C22×C5×Q8C22×C311yescharacteristic, complemented
95C22×C5×D4C22×C311yescharacteristic
96C22×C22⋊D5—21no—
97C2×D4×D5—24no—
98C2×D4×D5—24no—
99C2×D4×D5—22no—
100C2×D4×D5C22×C314yes—
101C22×D20C22×C311yescharacteristic
102C22×C4×D5C22×C311yescharacteristic
103C2×C5×SD16—24no—
104C2×C5×SD16C22×C314yescomplemented
105C22×C5×C8C22×C311yescharacteristic, complemented
106#4092—22no—
107#4092C22×C314yescomplemented
108C2×#688—24no—
109C2×#688C22×C314yescomplemented
110C2×#685—21no—
111C2×C4⋊Dic5C22×C311yescharacteristic, complemented
112C2×#683—21no—
113C22×#168C22×C311yescharacteristic, complemented
114#3964C22×C314yescomplemented
115#3953C22×C314yescomplemented
116#3952C22×C314yescomplemented
117C2×#450—51noSylow
118C23×C3×C5—24no—
119C23×C3×C5—22no—
120C23×C3×C5—42no—
121C23×C3×C5—42no—
122C23×C3×C5C2×D411yescharacteristic
123C22×C3×D5—22no—
124C22×C3×D5—22no—
125C22×C3×D5—216no—
126C22×C3×D5—24no—
127C22×C3×D5—22no—
128C22×C3×D5—48no—
129C22×C3×D5—432no—
130C22×C3×D5—42no—
131C22×C3×D5—42no—
132C22×C3×D5—48no—
133C22×C3×D5SD1614yescomplemented
134C22×C3×D5C2×D412yes—
135C3×C5×Q8—22no—
136C3×C5×Q8—22no—
137C3×C5×Q8—42no—
138C3×C5×D4—24no—
139C3×C5×D4—22no—
140C3×C5×D4C2×D414yes—
141C2×C3×C4×C5—22no—
142C2×C3×C4×C5—42no—
143C2×C3×C4×C5C2×D411yescharacteristic
144C2×C3×C4×C5C2×D412yes—
145C2×C3×C4×C5C2×D412yes—
146C2×C3×C4×C5C2411yescharacteristic
147C3×C22⋊D5—216no—
148C2×C3×Dic5—22no—
149C2×C3×Dic5—22no—
150C2×C3×Dic5—42no—
151C2×C3×Dic5C2×D412yes—
152C3×D20—24no—
153C3×D20—22no—
154C3×D20C2×D414yes—
155C3×C4×D5—24no—
156C3×C4×D5—22no—
157C3×C4×D5—22no—
158C3×C5×C8—22no—
159C3×#168—22no—
160C25×C3—101no—
161C22×C3×Q8C2×D511yescharacteristic, complemented
162C22×C3×D4—54no—
163C22×C3×D4—51no—
164C22×C3×D4—102no—
165C22×C3×D4—101no—
166C22×C3×D4—104no—
167C22×C3×D4—104no—
168C22×C3×D4C2×D511yescharacteristic
169C23×C3×C4—51no—
170C2×C3×SD16—24no—
171C2×C3×SD16—54no—
172C2×C3×SD16—104no—
173C2×C3×SD16C2×D514yescomplemented
174C22×C3×C8—51no—
175C22×C3×C8C2×D511yescharacteristic, complemented
176C3×C22⋊Q8—54no—
177C3×C22⋊Q8—102no—
178C2×C3×C4⋊C4—51no—
179C2×C3×C4⋊C4—101no—
180C2×C3×C22⋊C4—101no—
181C3×#102—54no—
182C3×#102—54no—
183C3×C22⋊C8—54no—
184C24×C5—21no—
185C23×D5—28no—
186C23×D5—21no—
187C23×D5—24no—
188C23×D5—44no—
189C23×D5—44no—
190C23×D5C3×D411yescharacteristic
191C2×C5×Q8—21no—
192C2×C5×Q8—22no—
193C2×C5×Q8—22no—
194C2×C5×Q8C23×C312yescomplemented
195C2×C5×D4—21no—
196C2×C5×D4—22no—
197C2×C5×D4C3×D414yes—
198C2×C5×D4C23×C312yes—
199C22×C4×C5—21no—
200C22×C4×C5C23×C311yescharacteristic
201C2×C22⋊D5—28no—
202C2×C22⋊D5—24no—
203C22×Dic5—21no—
204C22×Dic5C3×D411yescharacteristic
205D4×D5—216no—
206D4×D5—28no—
207D4×D5—28no—
208C2×D20—21no—
209C2×D20—22no—
210C2×D20C3×D414yes—
211C2×D20C23×C312yes—
212C2×C4×D5—22no—
213C2×C4×D5—22no—
214C2×C4×D5C3×D412yes—
215C2×C4×D5C23×C312yes—
216C5×SD16—28no—
217C2×C5×C8—22no—
218C2×C5×C8C23×C312yescomplemented
219#688—28no—
220#685—24no—
221C4⋊Dic5—21no—
222C4⋊Dic5C23×C312yescomplemented
223#683—24no—
224C2×#168—22no—
225C2×#168C23×C312yescomplemented
226C23×D4—51no—
227C22×SD16—51no—
228C22×SD16C3×D511yescharacteristic, complemented
229C2×C22⋊Q8—51no—
230#450—58no—
231C2×#102—51no—
232C2×#102—51no—
233C2×C22⋊C8—51no—
234C22×C3×C5—24no—
235C22×C3×C5—42no—
236C22×C3×C5—42no—
237C22×C3×C5—48no—
238C22×C3×C5#12012yes—
239C22×C3×C5C2×SD1612yes—
240C22×C3×C5AGL(1,ℤ/8)12yes—
241C22×C3×C5C22×D411yescharacteristic
242C2×C3×D5—22no—
243C2×C3×D5—22no—
244C2×C3×D5—28no—
245C2×C3×D5—24no—
246C2×C3×D5—432no—
247C2×C3×D5—42no—
248C2×C3×D5—42no—
249C2×C3×D5—48no—
250C2×C3×D5C2×SD1614yescomplemented
251C3×C4×C5—42no—
252C3×C4×C5#12012yes—
253C3×C4×C5C22×D411yescharacteristic
254C3×C4×C5C22×D411yescharacteristic
255C3×Dic5—22no—
256C3×Dic5—42no—
257C24×C3—21no—
258C24×C3—51no—
259C24×C3—104no—
260C24×C3—108no—
261C24×C3—101no—
262C24×C3—204no—
263C24×C3—204no—
264C2×C3×Q8—21no—
265C2×C3×Q8—22no—
266C2×C3×Q8—22no—
267C2×C3×Q8C22×D512yescomplemented
268C2×C3×D4—22no—
269C2×C3×D4—21no—
270C2×C3×D4—54no—
271C2×C3×D4—52no—
272C2×C3×D4—104no—
273C2×C3×D4—108no—
274C2×C3×D4—1016no—
275C2×C3×D4—108no—
276C2×C3×D4—108no—
277C2×C3×D4—101no—
278C2×C3×D4—102no—
279C2×C3×D4C22⋊D514yes—
280C2×C3×D4C22×D512yes—
281C22×C3×C4—21no—
282C22×C3×C4—51no—
283C22×C3×C4—52no—
284C22×C3×C4—52no—
285C22×C3×C4—102no—
286C22×C3×C4—102no—
287C22×C3×C4—101no—
288C22×C3×C4C22×D511yescharacteristic
289C3×SD16—28no—
290C3×SD16—108no—
291C2×C3×C8—22no—
292C2×C3×C8—52no—
293C2×C3×C8—102no—
294C2×C3×C8C22×D512yescomplemented
295C3×C4⋊C4—52no—
296C3×C4⋊C4—104no—
297C3×C4⋊C4—101no—
298C3×C22⋊C4—104no—
299C23×C5—24no—
300C23×C5—22no—
301C23×C5—42no—
302C23×C5—42no—
303C23×C5C2×C3×D411yescharacteristic
304C22×D5—22no—
305C22×D5—22no—
306C22×D5—216no—
307C22×D5—24no—
308C22×D5—22no—
309C22×D5—48no—
310C22×D5—432no—
311C22×D5—42no—
312C22×D5—42no—
313C22×D5—48no—
314C22×D5C3×SD1614yescomplemented
315C22×D5C2×C3×D412yes—
316C5×Q8—22no—
317C5×Q8—22no—
318C5×Q8—42no—
319C5×D4—24no—
320C5×D4—22no—
321C5×D4C2×C3×D414yes—
322C2×C4×C5—22no—
323C2×C4×C5—42no—
324C2×C4×C5C2×C3×D411yescharacteristic
325C2×C4×C5C2×C3×D412yes—
326C2×C4×C5C2×C3×D412yes—
327C2×C4×C5C24×C311yescharacteristic
328C22⋊D5—216no—
329C2×Dic5—22no—
330C2×Dic5—22no—
331C2×Dic5—42no—
332C2×Dic5C2×C3×D412yes—
333D20—24no—
334D20—22no—
335D20C2×C3×D414yes—
336C4×D5—24no—
337C4×D5—22no—
338C4×D5—22no—
339C5×C8—22no—
340#168—22no—
341C25—101no—
342C22×Q8C2×C3×D511yescharacteristic, complemented
343C22×D4—54no—
344C22×D4—51no—
345C22×D4—102no—
346C22×D4—101no—
347C22×D4—104no—
348C22×D4—104no—
349C22×D4C2×C3×D511yescharacteristic
350C23×C4—51no—
351C2×SD16—24no—
352C2×SD16—54no—
353C2×SD16—104no—
354C2×SD16C2×C3×D514yescomplemented
355C22×C8—51no—
356C22×C8C2×C3×D511yescharacteristic, complemented
357C22⋊Q8—54no—
358C22⋊Q8—102no—
359C2×C4⋊C4—51no—
360C2×C4⋊C4—101no—
361C2×C22⋊C4—101no—
362#102—54no—
363#102—54no—
364C22⋊C8—54no—
365C2×C3×C5—44no—
366C2×C3×C5#45014yescomplemented
367C2×C3×C5C2×#12011yescharacteristic
368C2×C3×C5C22×SD1611yescharacteristic
369C2×C3×C5C2×AGL(1,ℤ/8)11yescharacteristic
370C3×D5—24no—
371C3×D5—44no—
372C23×C3—22no—
373C23×C3—24no—
374C23×C3—42no—
375C23×C3—42no—
376C23×C3—52no—
377C23×C3—54no—
378C23×C3—1016no—
379C23×C3—102no—
380C23×C3—102no—
381C23×C3—102no—
382C23×C3—104no—
383C23×C3—208no—
384C23×C3—208no—
385C23×C3—2032no—
386C23×C3—202no—
387C23×C3—202no—
388C23×C3D4×D511yescharacteristic
389C3×Q8—22no—
390C3×Q8—22no—
391C3×Q8—42no—
392C3×D4—22no—
393C3×D4—24no—
394C3×D4—54no—
395C3×D4—1016no—
396C3×D4—102no—
397C3×D4—104no—
398C3×D4C2×C22⋊D514yes—
399C2×C3×C4—22no—
400C2×C3×C4—42no—
401C2×C3×C4—52no—
402C2×C3×C4—102no—
403C2×C3×C4—102no—
404C2×C3×C4—102no—
405C2×C3×C4—104no—
406C2×C3×C4—102no—
407C2×C3×C4—202no—
408C2×C3×C4D4×D512yes—
409C2×C3×C4D4×D511yescharacteristic
410C2×C3×C4C2×C22⋊D512yes—
411C2×C3×C4C23×D511yescharacteristic
412C3×C8—22no—
413C3×C8—102no—
414C22×C5—24no—
415C22×C5—42no—
416C22×C5—42no—
417C22×C5—48no—
418C22×C5C3×#12012yes—
419C22×C5C2×C3×SD1612yes—
420C22×C5C3×AGL(1,ℤ/8)12yes—
421C22×C5C22×C3×D411yescharacteristic
422C2×D5—22no—
423C2×D5—28no—
424C2×D5—22no—
425C2×D5—24no—
426C2×D5—432no—
427C2×D5—42no—
428C2×D5—42no—
429C2×D5—48no—
430C2×D5C2×C3×SD1614yescomplemented
431C4×C5—42no—
432C4×C5C3×#12012yes—
433C4×C5C22×C3×D411yescharacteristic
434C4×C5C22×C3×D411yescharacteristic
435Dic5—22no—
436Dic5—42no—
437C24—21no—
438C24—51no—
439C24—104no—
440C24—108no—
441C24—101no—
442C24—204no—
443C24—204no—
444C2×Q8—21no—
445C2×Q8—22no—
446C2×Q8—22no—
447C2×Q8C22×C3×D512yescomplemented
448C2×D4—21no—
449C2×D4—22no—
450C2×D4—54no—
451C2×D4—52no—
452C2×D4—104no—
453C2×D4—108no—
454C2×D4—1016no—
455C2×D4—108no—
456C2×D4—108no—
457C2×D4—101no—
458C2×D4—102no—
459C2×D4C3×C22⋊D514yes—
460C2×D4C22×C3×D512yes—
461C22×C4—21no—
462C22×C4—51no—
463C22×C4—52no—
464C22×C4—52no—
465C22×C4—102no—
466C22×C4—102no—
467C22×C4—101no—
468C22×C4C22×C3×D511yescharacteristic
469SD16—28no—
470SD16—108no—
471C2×C8—22no—
472C2×C8—52no—
473C2×C8—102no—
474C2×C8C22×C3×D512yescomplemented
475C4⋊C4—52no—
476C4⋊C4—104no—
477C4⋊C4—101no—
478C22⋊C4—104no—
479C3×C5C2×#45011yescharacteristic, complemented, Hall
480C22×C3—24no—
481C22×C3—42no—
482C22×C3—42no—
483C22×C3—48no—
484C22×C3—54no—
485C22×C3—102no—
486C22×C3—102no—
487C22×C3—108no—
488C22×C3—104no—
489C22×C3—2032no—
490C22×C3—202no—
491C22×C3—202no—
492C22×C3—208no—
493C22×C3D5×SD1612yes—
494C22×C3#406012yes—
495C22×C3#408312yes—
496C22×C3C2×D4×D511yescharacteristic
497C3×C4—42no—
498C3×C4—102no—
499C3×C4—202no—
500C3×C4#408312yes—
501C3×C4C2×D4×D511yescharacteristic
502C3×C4C22×C22⋊D511yescharacteristic
503C2×C5—44no—
504C2×C5C3×#45014yescomplemented
505C2×C5C2×C3×#12011yescharacteristic
506C2×C5C22×C3×SD1611yescharacteristic
507C2×C5C2×C3×AGL(1,ℤ/8)11yescharacteristic
508D5—24no—
509D5—44no—
510C23—24no—
511C23—22no—
512C23—42no—
513C23—42no—
514C23—52no—
515C23—54no—
516C23—1016no—
517C23—102no—
518C23—102no—
519C23—104no—
520C23—102no—
521C23—208no—
522C23—2032no—
523C23—208no—
524C23—202no—
525C23—202no—
526C23C3×D4×D511yescharacteristic
527Q8—22no—
528Q8—22no—
529Q8—42no—
530D4—24no—
531D4—22no—
532D4—54no—
533D4—1016no—
534D4—104no—
535D4—102no—
536D4C2×C3×C22⋊D514yes—
537C2×C4—22no—
538C2×C4—42no—
539C2×C4—52no—
540C2×C4—102no—
541C2×C4—104no—
542C2×C4—102no—
543C2×C4—102no—
544C2×C4—102no—
545C2×C4—202no—
546C2×C4C3×D4×D511yescharacteristic
547C2×C4C3×D4×D512yes—
548C2×C4C2×C3×C22⋊D512yes—
549C2×C4C23×C3×D511yescharacteristic
550C8—22no—
551C8—102no—
552C2×C3—44no—
553C2×C3—104no—
554C2×C3—204no—
555C2×C3#6545814yesdirect product factor
556C2×C3C2×D5×SD1611yescharacteristic
557C2×C3C2×#406011yescharacteristic
558C2×C3C2×#408311yescharacteristic
559C5C2×C3×#45011yescharacteristic, complemented, Sylow
560C22—24no—
561C22—48no—
562C22—42no—
563C22—42no—
564C22—54no—
565C22—102no—
566C22—108no—
567C22—102no—
568C22—104no—
569C22—2032no—
570C22—208no—
571C22—202no—
572C22—202no—
573C22C3×D5×SD1612yes—
574C22C3×#406012yes—
575C22C3×#408312yes—
576C22C2×C3×D4×D511yescharacteristic
577C4—42no—
578C4—102no—
579C4—202no—
580C4C3×#408312yes—
581C4C2×C3×D4×D511yescharacteristic
582C4C22×C3×C22⋊D511yescharacteristic
583C3C2×#6545811yescharacteristic, direct product factor, Sylow
584C2—44no—
585C2—104no—
586C2—204no—
587C2C3×#6545814yesdirect product factor
588C2C2×C3×D5×SD1611yescharacteristic
589C2C2×C3×#406011yescharacteristic
590C2C2×C3×#408311yescharacteristic
subgroupG/H
centerC23×C3D4×D5
commutator, cosocleC2×C4×C5C24×C3
FrattiniC2×C4C23×C3×D5
FittingC22×C3×C5×SD16C2
socleC23×C3×C5C2×D4
prime radicalC22×C3×D4×D5C2
hypercenterC22×C3×SD16D5
hypocenterC5C2×C3×#450
LCSG ▷ C2×C4×C5 ▷ C2×C5 ▷ C5
UCSC1 ◁ C23×C3 ◁ C22×C3×C4 ◁ C22×C3×SD16

Complements

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

NH ≅ G/Ntype
2. C22×C3×C5×SD16C2semidirect
3. C2×C3×#4092C2semidirect
4. C22×C3×#688C2semidirect
5. C2×C3×#3964C2semidirect
6. C3×#65458C2direct (N × H)
7. C2×C3×#3953C2semidirect
8. C2×C3×#3952C2semidirect
9. C2×#65458C3direct (N × H)
11. C22×C3×C5×Q8C22semidirect
21. C2×C3×C5×SD16C22semidirect
22. C22×C3×C5×C8C22semidirect
24. C3×#4092C22semidirect
26. C2×C3×#688C22semidirect
28. C2×C3×C4⋊Dic5C22semidirect
30. C22×C3×#168C22semidirect
31. C3×#3964C22semidirect
32. C3×#3953C22semidirect
33. C3×#3952C22semidirect
36. C22×C5×SD16C2×C3semidirect
37. C2×#4092C2×C3semidirect
38. C22×#688C2×C3semidirect
39. C2×#3964C2×C3semidirect
40. #65458C2×C3direct (N × H)
41. C2×#3953C2×C3semidirect
42. C2×#3952C2×C3semidirect
53. C2×C3×C5×Q8C23semidirect
77. C2×C3×C5×C8C23semidirect
81. C3×C4⋊Dic5C23semidirect
84. C2×C3×#168C23semidirect
87. C22×C3×SD16D5semidirect
94. C22×C5×Q8C22×C3semidirect
104. C2×C5×SD16C22×C3semidirect
105. C22×C5×C8C22×C3semidirect
107. #4092C22×C3semidirect
109. C2×#688C22×C3semidirect
111. C2×C4⋊Dic5C22×C3semidirect
113. C22×#168C22×C3semidirect
114. #3964C22×C3semidirect
115. #3953C22×C3semidirect
116. #3952C22×C3semidirect
133. C22×C3×D5SD16semidirect
161. C22×C3×Q8C2×D5semidirect
173. C2×C3×SD16C2×D5semidirect
175. C22×C3×C8C2×D5semidirect
194. C2×C5×Q8C23×C3semidirect
218. C2×C5×C8C23×C3semidirect
222. C4⋊Dic5C23×C3semidirect
225. C2×#168C23×C3semidirect
228. C22×SD16C3×D5semidirect
250. C2×C3×D5C2×SD16semidirect
267. C2×C3×Q8C22×D5semidirect
294. C2×C3×C8C22×D5semidirect
314. C22×D5C3×SD16semidirect
342. C22×Q8C2×C3×D5semidirect
354. C2×SD16C2×C3×D5semidirect
356. C22×C8C2×C3×D5semidirect
366. C2×C3×C5#450semidirect
430. C2×D5C2×C3×SD16semidirect
447. C2×Q8C22×C3×D5semidirect
474. C2×C8C22×C3×D5semidirect
479. C3×C5C2×#450semidirect
504. C2×C5C3×#450semidirect
555. C2×C3#65458direct (N × H)
559. C5C2×C3×#450semidirect
583. C3C2×#65458direct (N × H)
587. C2C3×#65458direct (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
C22×C3×C5×SD162
C2×C3×#40922
C22×C3×#6882
C2×C3×#39642
C3×#654582
C2×C3×#39532
C2×C3×#39522
C2×#654583
C2×C3×#4505