Finite Group Databasebeta

← C3×#10607934 #14327116

Subgroups — C3×#10607934 #14327116

Order 1920.

1408 conjugacy classes of subgroups.

The subgroup lattice has 596 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×#4039C211yesmaximal, characteristic
2C2×C3×#4039C211yesmaximal, characteristic
3C2×C3×C4×D20C211yesmaximal, characteristic
4C3×C5×#389C211yesmaximal, characteristic, complemented
5C3×#65278C212yesmaximal, complemented
6C3×#65276C212yesmaximal, complemented
7C3×#65274C211yesmaximal, characteristic, complemented
8C3×#65266C211yesmaximal, characteristic, complemented
9C3×C4×#683C211yesmaximal, characteristic, complemented
10C3×#64957C212yesmaximal, complemented
11C3×D5×#95C212yesmaximal, complemented
12#10607934C311yesmaximal, characteristic, direct product factor, Hall
13C22×C3×D20C2211yescharacteristic
14C22×C3×C4×D5C2212yes—
15C22×C3×C4×D5C2212yes—
16C22×C3×C4×D5C2212yes—
17C2×C3×C5×C4⋊C4C2211yescharacteristic
18C2×C3×C5×C4⋊C4C2212yes—
19C2×C3×C5×C4⋊C4C2211yescharacteristic
20C2×C3×C42×C5C2211yescharacteristic
21C2×C3×#685C2212yes—
22C2×C3×#685C2212yes—
23C2×C3×#685C2212yes—
24C2×C3×C4⋊Dic5C2211yescharacteristic
25C2×C3×C4⋊Dic5C2212yes—
26C2×C3×#683C2211yescharacteristic
27C2×C3×#683C2211yescharacteristic
28C2×C3×C4×Dic5C2211yescharacteristic
29C2×C3×C4×Dic5C2211yescharacteristic
30C3×#4039—24no—
31C3×#4039C418yescomplemented
32C3×C4×D20—24no—
33C3×C5×#95C2212yes—
34C3×#3963C2211yescharacteristic
35C3×#3963C2212yes—
36C3×#3963C2212yes—
37C3×#3963C2212yes—
38C3×#3963C2211yescharacteristic
39C3×#2349—51nomaximal, Hall
40C2×#4039C2×C311yescharacteristic
41C2×#4039C2×C311yescharacteristic
42C2×C4×D20C2×C311yescharacteristic
43C5×#389C2×C311yescharacteristic, complemented
44#65278C2×C312yescomplemented
45#65276C2×C312yescomplemented
46#65274C2×C311yescharacteristic, complemented
47#65266C2×C311yescharacteristic, complemented
48C4×#683C2×C311yescharacteristic, complemented
49#64957C2×C312yescomplemented
50D5×#95C2×C312yescomplemented
51C23×C3×D5C2312yes—
52C22×C3×C4×C5C2312yes—
53C22×C3×C4×C5C2311yescharacteristic
54C22×C3×C4×C5C2312yes—
55C22×C3×C4×C5C2311yescharacteristic
56C22×C3×C4×C5C2311yescharacteristic
57C22×C3×Dic5C2312yes—
58C22×C3×Dic5C2311yescharacteristic
59C22×C3×Dic5C2311yescharacteristic
60C22×C3×Dic5C2311yescharacteristic
61C22×C3×Dic5C2311yescharacteristic
62C2×C3×D20C2×C414yes—
63C2×C3×D20D414yes—
64C2×C3×D20Q814yes—
65C2×C3×C4×D5—24no—
66C2×C3×C4×D5—24no—
67C2×C3×C4×D5—24no—
68C2×C3×C4×D5—24no—
69C2×C3×C4×D5—42no—
70C2×C3×C4×D5—42no—
71C2×C3×C4×D5—42no—
72C2×C3×C4×D5—42no—
73C2×C3×C4×D5C2×C418yescomplemented
74C3×C5×C4⋊C4—22no—
75C3×C5×C4⋊C4—42no—
76C3×C5×C4⋊C4C2×C414yescomplemented
77C3×C42×C5—22no—
78C3×#685—24no—
79C3×#685—24no—
80C3×#685C2×C418yescomplemented
81C3×C4⋊Dic5—22no—
82C3×C4⋊Dic5—42no—
83C3×#683—22no—
84C3×#683—22no—
85C3×C4×Dic5—22no—
86C3×C4×Dic5C2×C414yescomplemented
87C2×C3×C4×D4—51no—
88C2×C3×C4×D4—51no—
89C2×C3×C4×D4—51no—
90C3×#389—51no—
91C3×#389D511yescharacteristic, complemented
92C3×#385—52no—
93C3×#385—52no—
94C3×#382—51no—
95C3×#380—52no—
96C3×C4×C4⋊C4—51no—
97C2×C3×#95—52no—
98C22×D20C22×C311yescharacteristic
99C22×C4×D5C22×C312yes—
100C22×C4×D5C22×C312yes—
101C22×C4×D5C22×C312yes—
102C2×C5×C4⋊C4C22×C311yescharacteristic
103C2×C5×C4⋊C4C22×C312yes—
104C2×C5×C4⋊C4C22×C311yescharacteristic
105C2×C42×C5C22×C311yescharacteristic
106C2×#685C22×C312yes—
107C2×#685C22×C312yes—
108C2×#685C22×C312yes—
109C2×C4⋊Dic5C22×C311yescharacteristic
110C2×C4⋊Dic5C22×C312yes—
111C2×#683C22×C311yescharacteristic
112C2×#683C22×C311yescharacteristic
113C2×C4×Dic5C22×C311yescharacteristic
114C2×C4×Dic5C22×C311yescharacteristic
115#4039—24no—
116#4039C3×C418yescomplemented
117C4×D20—24no—
118C5×#95C22×C312yes—
119#3963C22×C311yescharacteristic
120#3963C22×C312yes—
121#3963C22×C312yes—
122#3963C22×C312yes—
123#3963C22×C311yescharacteristic
124#2349—51noSylow
125C23×C3×C5C2411yescharacteristic
126C22×C3×D5—22no—
127C22×C3×D5—22no—
128C22×C3×D5—22no—
129C22×C3×D5—22no—
130C22×C3×D5C22×C414yes—
131C22×C3×D5C2×D414yes—
132C22×C3×D5C2×Q814yes—
133C2×C3×C4×C5—21no—
134C2×C3×C4×C5—22no—
135C2×C3×C4×C5—22no—
136C2×C3×C4×C5—21no—
137C2×C3×C4×C5—21no—
138C2×C3×C4×C5—22no—
139C2×C3×C4×C5—21no—
140C2×C3×C4×C5—22no—
141C2×C3×C4×C5—21no—
142C2×C3×C4×C5—22no—
143C2×C3×C4×C5C22×C414yes—
144C2×C3×C4×C5C22×C412yes—
145C2×C3×C4×C5C2×D412yes—
146C2×C3×C4×C5C2×Q812yes—
147C2×C3×C4×C5#4112yes—
148C2×C3×Dic5—21no—
149C2×C3×Dic5—21no—
150C2×C3×Dic5—21no—
151C2×C3×Dic5—21no—
152C2×C3×Dic5—21no—
153C2×C3×Dic5—21no—
154C2×C3×Dic5—21no—
155C2×C3×Dic5—22no—
156C2×C3×Dic5—21no—
157C2×C3×Dic5—22no—
158C2×C3×Dic5—21no—
159C2×C3×Dic5—22no—
160C2×C3×Dic5C22×C412yes—
161C2×C3×Dic5C22×C412yes—
162C2×C3×Dic5#4112yes—
163C3×D20C4⋊C4116yescomplemented
164C3×C4×D5—48no—
165C3×C4×D5—48no—
166C3×C4×D5—48no—
167C22×C3×D4—51no—
168C23×C3×C4—52no—
169C23×C3×C4—52no—
170C23×C3×C4—52no—
171C3×C4×D4—58no—
172C3×C4×D4—104no—
173C3×C4×D4—104no—
174C2×C3×C4⋊C4—51no—
175C2×C3×C4⋊C4—51no—
176C2×C3×C4⋊C4—51no—
177C2×C3×C4⋊C4—52no—
178C2×C3×C4⋊C4C2×D511yescharacteristic
179C2×C3×C4⋊C4C2×D512yes—
180C2×C3×C4⋊C4C2×D511yescharacteristic
181C2×C3×C22⋊C4—52no—
182C2×C3×C22⋊C4—52no—
183C2×C3×C22⋊C4—52no—
184C2×C3×C42—51no—
185C2×C3×C42—51no—
186C2×C3×C42C2×D511yescharacteristic
187C3×#95—51no—
188C3×#95—52no—
189C3×#95—52no—
190C3×#95—51no—
191C3×#95—52no—
192C3×#95C2×D512yes—
193C23×D5C23×C312yes—
194C22×C4×C5C23×C311yescharacteristic
195C22×C4×C5C23×C312yes—
196C22×C4×C5C23×C312yes—
197C22×C4×C5C23×C311yescharacteristic
198C22×C4×C5C23×C311yescharacteristic
199C22×Dic5C23×C312yes—
200C22×Dic5C23×C311yescharacteristic
201C22×Dic5C23×C311yescharacteristic
202C22×Dic5C23×C311yescharacteristic
203C22×Dic5C23×C311yescharacteristic
204C2×D20C2×C3×C414yes—
205C2×D20C3×D414yes—
206C2×D20C3×Q814yes—
207C2×C4×D5—24no—
208C2×C4×D5—24no—
209C2×C4×D5—24no—
210C2×C4×D5—24no—
211C2×C4×D5—42no—
212C2×C4×D5—42no—
213C2×C4×D5—42no—
214C2×C4×D5—42no—
215C2×C4×D5C2×C3×C418yescomplemented
216C5×C4⋊C4—22no—
217C5×C4⋊C4—42no—
218C5×C4⋊C4C2×C3×C414yescomplemented
219C42×C5—22no—
220#685—24no—
221#685—24no—
222#685C2×C3×C418yescomplemented
223C4⋊Dic5—22no—
224C4⋊Dic5—42no—
225#683—22no—
226#683—22no—
227C4×Dic5—22no—
228C4×Dic5C2×C3×C414yescomplemented
229C2×C4×D4—51no—
230C2×C4×D4—51no—
231C2×C4×D4—51no—
232#389—51no—
233#389C3×D511yescharacteristic, complemented
234#385—52no—
235#385—52no—
236#382—51no—
237#380—52no—
238C4×C4⋊C4—51no—
239C2×#95—52no—
240C22×C3×C5C23×C411yescharacteristic
241C22×C3×C5C22×D411yescharacteristic
242C22×C3×C5C22×Q811yescharacteristic
243C22×C3×C5C2×#4111yescharacteristic
244C22×C3×C5C2×#4111yescharacteristic
245C22×C3×C5H(5,𝔽2)11yescharacteristic
246C22×C3×C5H(5,𝔽2)11yescharacteristic
247C2×C3×D5—24no—
248C2×C3×D5—24no—
249C2×C3×D5—24no—
250C2×C3×D5—24no—
251C2×C3×D5—24no—
252C2×C3×D5—24no—
253C2×C3×D5C2×C4⋊C418yes—
254C3×C4×C5—24no—
255C3×C4×C5—22no—
256C3×C4×C5—42no—
257C3×C4×C5—41no—
258C3×C4×C5C2×C4⋊C414yes—
259C3×Dic5—22no—
260C3×Dic5—22no—
261C3×Dic5—22no—
262C3×Dic5—42no—
263C3×Dic5—41no—
264C24×C3—52no—
265C2×C3×D4—54no—
266C2×C3×D4—54no—
267C2×C3×D4—54no—
268C22×C3×C4—51no—
269C22×C3×C4—51no—
270C22×C3×C4—51no—
271C22×C3×C4—58no—
272C22×C3×C4—52no—
273C22×C3×C4—51no—
274C22×C3×C4—104no—
275C22×C3×C4—104no—
276C22×C3×C4—104no—
277C22×C3×C4—104no—
278C22×C3×C4—202no—
279C22×C3×C4—202no—
280C22×C3×C4—202no—
281C22×C3×C4—202no—
282C22×C3×C4C22×D512yes—
283C22×C3×C4C22×D511yescharacteristic
284C22×C3×C4C22×D512yes—
285C22×C3×C4C22×D511yescharacteristic
286C22×C3×C4C22×D511yescharacteristic
287C3×C4⋊C4—22no—
288C3×C4⋊C4—42no—
289C3×C4⋊C4—102no—
290C3×C4⋊C4—102no—
291C3×C4⋊C4—102no—
292C3×C4⋊C4—202no—
293C3×C4⋊C4C4×D514yescomplemented
294C3×C22⋊C4—58no—
295C3×C22⋊C4—104no—
296C3×C22⋊C4—104no—
297C3×C42—22no—
298C3×C42—54no—
299C3×C42—102no—
300C23×C5C24×C311yescharacteristic
301C22×D5—22no—
302C22×D5—22no—
303C22×D5—22no—
304C22×D5—22no—
305C22×D5C22×C3×C414yes—
306C22×D5C2×C3×D414yes—
307C22×D5C2×C3×Q814yes—
308C2×C4×C5—21no—
309C2×C4×C5—22no—
310C2×C4×C5—22no—
311C2×C4×C5—21no—
312C2×C4×C5—21no—
313C2×C4×C5—22no—
314C2×C4×C5—21no—
315C2×C4×C5—22no—
316C2×C4×C5—21no—
317C2×C4×C5—22no—
318C2×C4×C5C22×C3×C414yes—
319C2×C4×C5C22×C3×C412yes—
320C2×C4×C5C2×C3×D412yes—
321C2×C4×C5C2×C3×Q812yes—
322C2×C4×C5C3×#4112yes—
323C2×Dic5—21no—
324C2×Dic5—21no—
325C2×Dic5—21no—
326C2×Dic5—21no—
327C2×Dic5—21no—
328C2×Dic5—21no—
329C2×Dic5—21no—
330C2×Dic5—22no—
331C2×Dic5—21no—
332C2×Dic5—22no—
333C2×Dic5—21no—
334C2×Dic5—22no—
335C2×Dic5C22×C3×C412yes—
336C2×Dic5C22×C3×C412yes—
337C2×Dic5C3×#4112yes—
338D20C3×C4⋊C4116yescomplemented
339C4×D5—48no—
340C4×D5—48no—
341C4×D5—48no—
342C22×D4—51no—
343C23×C4—52no—
344C23×C4—52no—
345C23×C4—52no—
346C4×D4—58no—
347C4×D4—104no—
348C4×D4—104no—
349C2×C4⋊C4—51no—
350C2×C4⋊C4—51no—
351C2×C4⋊C4—51no—
352C2×C4⋊C4—52no—
353C2×C4⋊C4C2×C3×D511yescharacteristic
354C2×C4⋊C4C2×C3×D512yes—
355C2×C4⋊C4C2×C3×D511yescharacteristic
356C2×C22⋊C4—52no—
357C2×C22⋊C4—52no—
358C2×C22⋊C4—52no—
359C2×C42—51no—
360C2×C42—51no—
361C2×C42C2×C3×D511yescharacteristic
362#95—51no—
363#95—52no—
364#95—52no—
365#95—51no—
366#95—52no—
367#95C2×C3×D512yes—
368C2×C3×C5C22×C4⋊C411yescharacteristic
369C2×C3×C5C4×#4111yescharacteristic
370C2×C3×C5#51811yescharacteristic
371C2×C3×C5#54611yescharacteristic
372C2×C3×C5#54611yescharacteristic
373C2×C3×C5#55411yescharacteristic
374C2×C3×C5#55411yescharacteristic
375C3×D5—28no—
376C23×C3—54no—
377C23×C3—54no—
378C23×C3—54no—
379C23×C3—102no—
380C23×C3—102no—
381C23×C3—102no—
382C23×C3—102no—
383C23×C3C23×D511yescharacteristic
384C3×D4—516no—
385C2×C3×C4—21no—
386C2×C3×C4—22no—
387C2×C3×C4—22no—
388C2×C3×C4—21no—
389C2×C3×C4—21no—
390C2×C3×C4—22no—
391C2×C3×C4—21no—
392C2×C3×C4—22no—
393C2×C3×C4—21no—
394C2×C3×C4—22no—
395C2×C3×C4—52no—
396C2×C3×C4—52no—
397C2×C3×C4—52no—
398C2×C3×C4—101no—
399C2×C3×C4—101no—
400C2×C3×C4—101no—
401C2×C3×C4—101no—
402C2×C3×C4—101no—
403C2×C3×C4—101no—
404C2×C3×C4—101no—
405C2×C3×C4—102no—
406C2×C3×C4—101no—
407C2×C3×C4—102no—
408C2×C3×C4—101no—
409C2×C3×C4—102no—
410C2×C3×C4—208no—
411C2×C3×C4—208no—
412C2×C3×C4—208no—
413C2×C3×C4C2×C4×D514yes—
414C2×C3×C4C2×C4×D512yes—
415C2×C3×C4D4×D512yes—
416C2×C3×C4Q8×D512yes—
417C2×C3×C4#71312yes—
418C22×C5C23×C3×C411yescharacteristic
419C22×C5C22×C3×D411yescharacteristic
420C22×C5C22×C3×Q811yescharacteristic
421C22×C5C2×C3×#4111yescharacteristic
422C22×C5C2×C3×#4111yescharacteristic
423C22×C5C3×H(5,𝔽2)11yescharacteristic
424C22×C5C3×H(5,𝔽2)11yescharacteristic
425C2×D5—24no—
426C2×D5—24no—
427C2×D5—24no—
428C2×D5—24no—
429C2×D5—24no—
430C2×D5—24no—
431C2×D5C2×C3×C4⋊C418yes—
432C4×C5—24no—
433C4×C5—22no—
434C4×C5—42no—
435C4×C5—41no—
436C4×C5C2×C3×C4⋊C414yes—
437Dic5—22no—
438Dic5—22no—
439Dic5—22no—
440Dic5—42no—
441Dic5—41no—
442C24—52no—
443C2×D4—54no—
444C2×D4—54no—
445C2×D4—54no—
446C22×C4—51no—
447C22×C4—51no—
448C22×C4—51no—
449C22×C4—58no—
450C22×C4—52no—
451C22×C4—51no—
452C22×C4—104no—
453C22×C4—104no—
454C22×C4—104no—
455C22×C4—104no—
456C22×C4—202no—
457C22×C4—202no—
458C22×C4—202no—
459C22×C4—202no—
460C22×C4C22×C3×D512yes—
461C22×C4C22×C3×D511yescharacteristic
462C22×C4C22×C3×D512yes—
463C22×C4C22×C3×D511yescharacteristic
464C22×C4C22×C3×D511yescharacteristic
465C4⋊C4—22no—
466C4⋊C4—42no—
467C4⋊C4—102no—
468C4⋊C4—102no—
469C4⋊C4—102no—
470C4⋊C4—202no—
471C4⋊C4C3×C4×D514yescomplemented
472C22⋊C4—58no—
473C22⋊C4—104no—
474C22⋊C4—104no—
475C42—22no—
476C42—54no—
477C42—102no—
478C3×C5#234911yescharacteristic, complemented, Hall
479C22×C3—58no—
480C22×C3—104no—
481C22×C3—104no—
482C22×C3—104no—
483C22×C3—104no—
484C22×C3—104no—
485C22×C3—104no—
486C22×C3C22×C4×D511yescharacteristic
487C22×C3C2×D4×D511yescharacteristic
488C22×C3#414411yescharacteristic
489C22×C3C2×Q8×D511yescharacteristic
490C22×C3C2×#71311yescharacteristic
491C22×C3D5×#4111yescharacteristic
492C22×C3#414911yescharacteristic
493C3×C4—24no—
494C3×C4—22no—
495C3×C4—41no—
496C3×C4—42no—
497C3×C4—102no—
498C3×C4—102no—
499C3×C4—102no—
500C3×C4—201no—
501C3×C4—202no—
502C3×C4D5×C4⋊C414yes—
503C2×C5C22×C3×C4⋊C411yescharacteristic
504C2×C5C3×C4×#4111yescharacteristic
505C2×C5C3×#51811yescharacteristic
506C2×C5C3×#54611yescharacteristic
507C2×C5C3×#54611yescharacteristic
508C2×C5C3×#55411yescharacteristic
509C2×C5C3×#55411yescharacteristic
510D5—28no—
511C23—54no—
512C23—54no—
513C23—54no—
514C23—102no—
515C23—102no—
516C23—102no—
517C23—102no—
518C23C23×C3×D511yescharacteristic
519D4—516no—
520C2×C4—21no—
521C2×C4—22no—
522C2×C4—22no—
523C2×C4—21no—
524C2×C4—21no—
525C2×C4—22no—
526C2×C4—21no—
527C2×C4—22no—
528C2×C4—21no—
529C2×C4—22no—
530C2×C4—52no—
531C2×C4—52no—
532C2×C4—52no—
533C2×C4—101no—
534C2×C4—101no—
535C2×C4—101no—
536C2×C4—101no—
537C2×C4—101no—
538C2×C4—101no—
539C2×C4—101no—
540C2×C4—102no—
541C2×C4—101no—
542C2×C4—102no—
543C2×C4—101no—
544C2×C4—102no—
545C2×C4—208no—
546C2×C4—208no—
547C2×C4—208no—
548C2×C4C2×C3×C4×D514yes—
549C2×C4C2×C3×C4×D512yes—
550C2×C4C3×D4×D512yes—
551C2×C4C3×Q8×D512yes—
552C2×C4C3×#71312yes—
553C2×C3—108no—
554C2×C3C2×D5×C4⋊C411yescharacteristic
555C2×C3#6587911yescharacteristic
556C2×C3C4×#71311yescharacteristic
557C2×C3#6594611yescharacteristic
558C2×C3#6596411yescharacteristic
559C2×C3#6602411yescharacteristic
560C2×C3#6606411yescharacteristic
561C5C3×#234911yescharacteristic, complemented, Sylow
562C22—58no—
563C22—104no—
564C22—104no—
565C22—104no—
566C22—104no—
567C22—104no—
568C22—104no—
569C22C22×C3×C4×D511yescharacteristic
570C22C2×C3×D4×D511yescharacteristic
571C22C3×#414411yescharacteristic
572C22C2×C3×Q8×D511yescharacteristic
573C22C2×C3×#71311yescharacteristic
574C22C3×D5×#4111yescharacteristic
575C22C3×#414911yescharacteristic
576C4—24no—
577C4—22no—
578C4—42no—
579C4—41no—
580C4—102no—
581C4—102no—
582C4—102no—
583C4—202no—
584C4—201no—
585C4C3×D5×C4⋊C414yes—
586C3#1060793411yescharacteristic, direct product factor, Sylow
587C2—108no—
588C2C2×C3×D5×C4⋊C411yescharacteristic
589C2C3×#6587911yescharacteristic
590C2C3×C4×#71311yescharacteristic
591C2C3×#6594611yescharacteristic
592C2C3×#6596411yescharacteristic
593C2C3×#6602411yescharacteristic
594C2C3×#6606411yescharacteristic
subgroupG/H
centerC23×C3C23×D5
commutatorC22×C5C23×C3×C4
FrattiniC23C23×C3×D5
FittingC3×C5×#389C2
socleC23×C3×C5C24
prime radicalC22×C3×D20C22
cosocleC23×C5C24×C3
hypercenterC3×#389D5
hypocenterC5C3×#2349
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23×C3 ◁ C3×#389

Complements

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

NH ≅ G/Ntype
4. C3×C5×#389C2semidirect
5. C3×#65278C2semidirect
6. C3×#65276C2semidirect
7. C3×#65274C2semidirect
8. C3×#65266C2semidirect
9. C3×C4×#683C2semidirect
10. C3×#64957C2semidirect
11. C3×D5×#95C2semidirect
12. #10607934C3direct (N × H)
31. C3×#4039C4semidirect
43. C5×#389C2×C3semidirect
44. #65278C2×C3semidirect
45. #65276C2×C3semidirect
46. #65274C2×C3semidirect
47. #65266C2×C3semidirect
48. C4×#683C2×C3semidirect
49. #64957C2×C3semidirect
50. D5×#95C2×C3semidirect
73. C2×C3×C4×D5C2×C4semidirect
76. C3×C5×C4⋊C4C2×C4semidirect
80. C3×#685C2×C4semidirect
86. C3×C4×Dic5C2×C4semidirect
91. C3×#389D5semidirect
116. #4039C3×C4semidirect
163. C3×D20C4⋊C4semidirect
215. C2×C4×D5C2×C3×C4semidirect
218. C5×C4⋊C4C2×C3×C4semidirect
222. #685C2×C3×C4semidirect
228. C4×Dic5C2×C3×C4semidirect
233. #389C3×D5semidirect
293. C3×C4⋊C4C4×D5semidirect
338. D20C3×C4⋊C4semidirect
471. C4⋊C4C3×C4×D5semidirect
478. C3×C5#2349semidirect
561. C5C3×#2349semidirect
586. C3#10607934direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#40392
C2×C3×C4×D202
C3×C5×#3892
C3×#652782
C3×#652762
C3×#652742
C3×#652662
C3×C4×#6832
C3×#649572
C3×D5×#952
#106079343
C3×#23495