Finite Group Databasebeta

← C3×#10607694 #14321082

Subgroups — C3×#10607694 #14321082

Order 1920.

1312 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
1C2×C3×#4038C211yesmaximal, characteristic
2C2×C3×#4038C211yesmaximal, characteristic
3C2×C3×C42×D5C211yesmaximal, characteristic
4C3×C5×#389C211yesmaximal, characteristic, complemented
5C3×#65278C212yesmaximal
6C3×#65274C211yesmaximal, characteristic, complemented
7C3×C4⋊C4×Dic5C212yesmaximal, complemented
8C3×#65262C211yesmaximal, characteristic, complemented
9C3×#65217C211yesmaximal, characteristic, complemented
10C3×#64957C212yesmaximal
11C3×#64938C212yesmaximal, complemented
12#10607694C311yesmaximal, characteristic, direct product factor, Hall
13C22×C3×C4×D5C2211yescharacteristic
14C22×C3×C4×D5C2211yescharacteristic
15C22×C3×C4×D5C2211yescharacteristic
16C2×C3×C5×C4⋊C4C2211yescharacteristic
17C2×C3×C5×C4⋊C4C2212yes—
18C2×C3×C5×C4⋊C4C2211yescharacteristic
19C2×C3×C42×C5C2211yescharacteristic
20C2×C3×#685C2212yes—
21C2×C3×#685C2212yes—
22C2×C3×C4⋊Dic5C2212yes—
23C2×C3×C4⋊Dic5C2211yescharacteristic
24C2×C3×C4⋊Dic5C2211yescharacteristic
25C2×C3×#683C2212yes—
26C2×C3×#683C2212yes—
27C2×C3×C4×Dic5C2211yescharacteristic
28C2×C3×C4×Dic5C2212yes—
29C2×C3×C4×Dic5C2211yescharacteristic
30C2×C3×C4×Dic5C2211yescharacteristic
31C2×C3×C4×Dic5C2212yes—
32C3×#4038—24no—
33C3×#4038C418yescomplemented
34C3×C42×D5—24no—
35C3×C5×#95C2212yes—
36C3×#3963C2212yes—
37C3×#3963C2212yes—
38C3×#3963C2212yes—
39C3×#2296—51nomaximal, Hall
40C2×#4038C2×C311yescharacteristic
41C2×#4038C2×C311yescharacteristic
42C2×C42×D5C2×C311yescharacteristic
43C5×#389C2×C311yescharacteristic, complemented
44#65278C2×C312yes—
45#65274C2×C311yescharacteristic, complemented
46C4⋊C4×Dic5C2×C312yescomplemented
47#65262C2×C311yescharacteristic, complemented
48#65217C2×C311yescharacteristic, complemented
49#64957C2×C312yes—
50#64938C2×C312yescomplemented
51C23×C3×D5C2311yescharacteristic
52C22×C3×C4×C5C2312yes—
53C22×C3×C4×C5C2312yes—
54C22×C3×C4×C5C2311yescharacteristic
55C22×C3×C4×C5C2311yescharacteristic
56C22×C3×C4×C5C2311yescharacteristic
57C22×C3×Dic5C2312yes—
58C22×C3×Dic5C2312yes—
59C22×C3×Dic5C2311yescharacteristic
60C22×C3×Dic5C2311yescharacteristic
61C22×C3×Dic5C2311yescharacteristic
62C2×C3×C4×D5—22no—
63C2×C3×C4×D5—22no—
64C2×C3×C4×D5—22no—
65C2×C3×C4×D5—22no—
66C2×C3×C4×D5—22no—
67C2×C3×C4×D5—22no—
68C2×C3×C4×D5C2×C414yes—
69C2×C3×C4×D5D414yes—
70C2×C3×C4×D5Q814yes—
71C3×C5×C4⋊C4—22no—
72C3×C5×C4⋊C4—24no—
73C3×C5×C4⋊C4C2×C414yescomplemented
74C3×C42×C5—22no—
75C3×#685—24no—
76C3×#685C2×C418yes—
77C3×C4⋊Dic5—22no—
78C3×C4⋊Dic5—24no—
79C3×C4⋊Dic5C2×C414yescomplemented
80C3×#683—24no—
81C3×#683—24no—
82C3×C4×Dic5—22no—
83C3×C4×Dic5—22no—
84C3×C4×Dic5—22no—
85C3×C4×Dic5—24no—
86C3×C4×Dic5C2×C418yescomplemented
87C2×C3×#117—51no—
88C2×C3×#117—51no—
89C22×C3×C42—51no—
90C3×#389—51no—
91C3×#389—51no—
92C3×#389—51no—
93C3×#389D511yescharacteristic, complemented
94C3×#385—52no—
95C3×#385—52no—
96C3×C4×C4⋊C4—52no—
97C3×C4×C4⋊C4—52no—
98C22×C4×D5C22×C311yescharacteristic
99C22×C4×D5C22×C311yescharacteristic
100C22×C4×D5C22×C311yescharacteristic
101C2×C5×C4⋊C4C22×C311yescharacteristic
102C2×C5×C4⋊C4C22×C312yes—
103C2×C5×C4⋊C4C22×C311yescharacteristic
104C2×C42×C5C22×C311yescharacteristic
105C2×#685C22×C312yes—
106C2×#685C22×C312yes—
107C2×C4⋊Dic5C22×C311yescharacteristic
108C2×C4⋊Dic5C22×C312yes—
109C2×C4⋊Dic5C22×C311yescharacteristic
110C2×#683C22×C312yes—
111C2×#683C22×C312yes—
112C2×C4×Dic5C22×C311yescharacteristic
113C2×C4×Dic5C22×C311yescharacteristic
114C2×C4×Dic5C22×C311yescharacteristic
115C2×C4×Dic5C22×C312yes—
116C2×C4×Dic5C22×C312yes—
117#4038—24no—
118#4038C3×C418yescomplemented
119C42×D5—24no—
120C5×#95C22×C312yes—
121#3963C22×C312yes—
122#3963C22×C312yes—
123#3963C22×C312yes—
124#2296—51noSylow
125C23×C3×C5C2411yescharacteristic
126C22×C3×D5—21no—
127C22×C3×D5—21no—
128C22×C3×D5—21no—
129C22×C3×D5—21no—
130C22×C3×D5C22×C412yes—
131C22×C3×D5C2×D412yes—
132C22×C3×D5C2×Q812yes—
133C2×C3×C4×C5—21no—
134C2×C3×C4×C5—21no—
135C2×C3×C4×C5—22no—
136C2×C3×C4×C5—22no—
137C2×C3×C4×C5—21no—
138C2×C3×C4×C5—21no—
139C2×C3×C4×C5—22no—
140C2×C3×C4×C5—22no—
141C2×C3×C4×C5—22no—
142C2×C3×C4×C5C22×C414yes—
143C2×C3×C4×C5C22×C412yes—
144C2×C3×C4×C5C2×D412yes—
145C2×C3×C4×C5C2×Q812yes—
146C2×C3×C4×C5#4112yes—
147C2×C3×C4×C5#4112yes—
148C2×C3×Dic5—21no—
149C2×C3×Dic5—21no—
150C2×C3×Dic5—22no—
151C2×C3×Dic5—22no—
152C2×C3×Dic5—21no—
153C2×C3×Dic5—21no—
154C2×C3×Dic5—22no—
155C2×C3×Dic5—22no—
156C2×C3×Dic5—22no—
157C2×C3×Dic5C22×C414yes—
158C2×C3×Dic5C22×C412yes—
159C2×C3×Dic5C2×D412yes—
160C2×C3×Dic5C2×Q812yes—
161C2×C3×Dic5#4112yes—
162C2×C3×Dic5#4112yes—
163C3×C4×D5—28no—
164C3×C4×D5—28no—
165C3×C4×D5C4⋊C4116yescomplemented
166C23×C3×C4—51no—
167C23×C3×C4—51no—
168C23×C3×C4—51no—
169C3×#117—58no—
170C3×#117—104no—
171C2×C3×C4⋊C4—51no—
172C2×C3×C4⋊C4—52no—
173C2×C3×C4⋊C4—52no—
174C2×C3×C4⋊C4—52no—
175C2×C3×C4⋊C4—51no—
176C2×C3×C4⋊C4C2×D512yes—
177C2×C3×C4⋊C4C2×D511yescharacteristic
178C2×C3×C4⋊C4C2×D511yescharacteristic
179C2×C3×C22⋊C4—52no—
180C2×C3×C22⋊C4—52no—
181C2×C3×C42—52no—
182C2×C3×C42—51no—
183C2×C3×C42—51no—
184C2×C3×C42—52no—
185C2×C3×C42—51no—
186C2×C3×C42—104no—
187C2×C3×C42C2×D511yescharacteristic
188C3×#95—52no—
189C3×#95—52no—
190C3×#95—52no—
191C3×#95C2×D512yes—
192C23×D5C23×C311yescharacteristic
193C22×C4×C5C23×C312yes—
194C22×C4×C5C23×C312yes—
195C22×C4×C5C23×C311yescharacteristic
196C22×C4×C5C23×C311yescharacteristic
197C22×C4×C5C23×C311yescharacteristic
198C22×Dic5C23×C312yes—
199C22×Dic5C23×C312yes—
200C22×Dic5C23×C311yescharacteristic
201C22×Dic5C23×C311yescharacteristic
202C22×Dic5C23×C311yescharacteristic
203C2×C4×D5—22no—
204C2×C4×D5—22no—
205C2×C4×D5—22no—
206C2×C4×D5—22no—
207C2×C4×D5—22no—
208C2×C4×D5—22no—
209C2×C4×D5C2×C3×C414yes—
210C2×C4×D5C3×D414yes—
211C2×C4×D5C3×Q814yes—
212C5×C4⋊C4—22no—
213C5×C4⋊C4—24no—
214C5×C4⋊C4C2×C3×C414yescomplemented
215C42×C5—22no—
216#685—24no—
217#685C2×C3×C418yes—
218C4⋊Dic5—22no—
219C4⋊Dic5—24no—
220C4⋊Dic5C2×C3×C414yescomplemented
221#683—24no—
222#683—24no—
223C4×Dic5—22no—
224C4×Dic5—22no—
225C4×Dic5—22no—
226C4×Dic5—24no—
227C4×Dic5C2×C3×C418yescomplemented
228C2×#117—51no—
229C2×#117—51no—
230C22×C42—51no—
231#389—51no—
232#389—51no—
233#389—51no—
234#389C3×D511yescharacteristic, complemented
235#385—52no—
236#385—52no—
237C4×C4⋊C4—52no—
238C4×C4⋊C4—52no—
239C22×C3×C5C23×C411yescharacteristic
240C22×C3×C5C22×D411yescharacteristic
241C22×C3×C5C22×Q811yescharacteristic
242C22×C3×C5C2×#4111yescharacteristic
243C22×C3×C5C2×#4111yescharacteristic
244C22×C3×C5C2×#4111yescharacteristic
245C22×C3×C5C2×#4111yescharacteristic
246C2×C3×D5—22no—
247C2×C3×D5—22no—
248C2×C3×D5—22no—
249C2×C3×D5—22no—
250C2×C3×D5—22no—
251C2×C3×D5—22no—
252C2×C3×D5C2×C4⋊C414yes—
253C3×C4×C5—24no—
254C3×C4×C5—22no—
255C3×C4×C5—22no—
256C3×C4×C5—42no—
257C3×C4×C5C2×C4⋊C414yes—
258C3×Dic5—24no—
259C3×Dic5—22no—
260C3×Dic5—22no—
261C3×Dic5—42no—
262C3×Dic5C2×C4⋊C414yes—
263C24×C3—51no—
264C22×C3×C4—51no—
265C22×C3×C4—54no—
266C22×C3×C4—54no—
267C22×C3×C4—54no—
268C22×C3×C4—51no—
269C22×C3×C4—51no—
270C22×C3×C4—52no—
271C22×C3×C4—52no—
272C22×C3×C4—102no—
273C22×C3×C4—102no—
274C22×C3×C4—102no—
275C22×C3×C4—102no—
276C22×C3×C4—102no—
277C22×C3×C4—102no—
278C22×C3×C4C22×D512yes—
279C22×C3×C4C22×D512yes—
280C22×C3×C4C22×D511yescharacteristic
281C22×C3×C4C22×D511yescharacteristic
282C22×C3×C4C22×D511yescharacteristic
283C3×C4⋊C4—22no—
284C3×C4⋊C4—24no—
285C3×C4⋊C4—54no—
286C3×C4⋊C4—104no—
287C3×C4⋊C4—104no—
288C3×C4⋊C4—102no—
289C3×C4⋊C4—104no—
290C3×C4⋊C4C4×D514yescomplemented
291C3×C22⋊C4—58no—
292C3×C22⋊C4—104no—
293C3×C42—22no—
294C3×C42—58no—
295C3×C42—102no—
296C3×C42—102no—
297C3×C42—104no—
298C3×C42—102no—
299C23×C5C24×C311yescharacteristic
300C22×D5—21no—
301C22×D5—21no—
302C22×D5—21no—
303C22×D5—21no—
304C22×D5C22×C3×C412yes—
305C22×D5C2×C3×D412yes—
306C22×D5C2×C3×Q812yes—
307C2×C4×C5—21no—
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—22no—
315C2×C4×C5—22no—
316C2×C4×C5C22×C3×C414yes—
317C2×C4×C5C22×C3×C412yes—
318C2×C4×C5C2×C3×D412yes—
319C2×C4×C5C2×C3×Q812yes—
320C2×C4×C5C3×#4112yes—
321C2×C4×C5C3×#4112yes—
322C2×Dic5—21no—
323C2×Dic5—21no—
324C2×Dic5—22no—
325C2×Dic5—22no—
326C2×Dic5—21no—
327C2×Dic5—21no—
328C2×Dic5—22no—
329C2×Dic5—22no—
330C2×Dic5—22no—
331C2×Dic5C22×C3×C414yes—
332C2×Dic5C22×C3×C412yes—
333C2×Dic5C2×C3×D412yes—
334C2×Dic5C2×C3×Q812yes—
335C2×Dic5C3×#4112yes—
336C2×Dic5C3×#4112yes—
337C4×D5—28no—
338C4×D5—28no—
339C4×D5C3×C4⋊C4116yescomplemented
340C23×C4—51no—
341C23×C4—51no—
342C23×C4—51no—
343#117—58no—
344#117—104no—
345C2×C4⋊C4—51no—
346C2×C4⋊C4—51no—
347C2×C4⋊C4—52no—
348C2×C4⋊C4—52no—
349C2×C4⋊C4—52no—
350C2×C4⋊C4C2×C3×D511yescharacteristic
351C2×C4⋊C4C2×C3×D512yes—
352C2×C4⋊C4C2×C3×D511yescharacteristic
353C2×C22⋊C4—52no—
354C2×C22⋊C4—52no—
355C2×C42—52no—
356C2×C42—52no—
357C2×C42—51no—
358C2×C42—51no—
359C2×C42—51no—
360C2×C42—104no—
361C2×C42C2×C3×D511yescharacteristic
362#95—52no—
363#95—52no—
364#95—52no—
365#95C2×C3×D512yes—
366C2×C3×C5C22×C4⋊C411yescharacteristic
367C2×C3×C5C4×#4111yescharacteristic
368C2×C3×C5C4×#4111yescharacteristic
369C2×C3×C5#52511yescharacteristic
370C2×C3×C5#52511yescharacteristic
371C2×C3×C5#53311yescharacteristic
372C2×C3×C5#53311yescharacteristic
373C3×D5—24no—
374C23×C3—52no—
375C23×C3—52no—
376C23×C3—52no—
377C23×C3—101no—
378C23×C3—101no—
379C23×C3—101no—
380C23×C3—101no—
381C23×C3C23×D511yescharacteristic
382C2×C3×C4—21no—
383C2×C3×C4—21no—
384C2×C3×C4—22no—
385C2×C3×C4—22no—
386C2×C3×C4—21no—
387C2×C3×C4—21no—
388C2×C3×C4—22no—
389C2×C3×C4—22no—
390C2×C3×C4—22no—
391C2×C3×C4—52no—
392C2×C3×C4—52no—
393C2×C3×C4—52no—
394C2×C3×C4—516no—
395C2×C3×C4—54no—
396C2×C3×C4—52no—
397C2×C3×C4—52no—
398C2×C3×C4—108no—
399C2×C3×C4—108no—
400C2×C3×C4—101no—
401C2×C3×C4—101no—
402C2×C3×C4—101no—
403C2×C3×C4—102no—
404C2×C3×C4—101no—
405C2×C3×C4—102no—
406C2×C3×C4—102no—
407C2×C3×C4—102no—
408C2×C3×C4—102no—
409C2×C3×C4C2×C4×D514yes—
410C2×C3×C4C2×C4×D512yes—
411C2×C3×C4D4×D512yes—
412C2×C3×C4#71112yes—
413C2×C3×C4Q8×D512yes—
414C2×C3×C4#71312yes—
415C22×C5C23×C3×C411yescharacteristic
416C22×C5C22×C3×D411yescharacteristic
417C22×C5C22×C3×Q811yescharacteristic
418C22×C5C2×C3×#4111yescharacteristic
419C22×C5C2×C3×#4111yescharacteristic
420C22×C5C2×C3×#4111yescharacteristic
421C22×C5C2×C3×#4111yescharacteristic
422C2×D5—22no—
423C2×D5—22no—
424C2×D5—22no—
425C2×D5—22no—
426C2×D5—22no—
427C2×D5—22no—
428C2×D5C2×C3×C4⋊C414yes—
429C4×C5—24no—
430C4×C5—22no—
431C4×C5—22no—
432C4×C5—42no—
433C4×C5C2×C3×C4⋊C414yes—
434Dic5—24no—
435Dic5—22no—
436Dic5—22no—
437Dic5—42no—
438Dic5C2×C3×C4⋊C414yes—
439C24—51no—
440C22×C4—51no—
441C22×C4—54no—
442C22×C4—54no—
443C22×C4—54no—
444C22×C4—51no—
445C22×C4—51no—
446C22×C4—52no—
447C22×C4—52no—
448C22×C4—102no—
449C22×C4—102no—
450C22×C4—102no—
451C22×C4—102no—
452C22×C4—102no—
453C22×C4—102no—
454C22×C4C22×C3×D512yes—
455C22×C4C22×C3×D512yes—
456C22×C4C22×C3×D511yescharacteristic
457C22×C4C22×C3×D511yescharacteristic
458C22×C4C22×C3×D511yescharacteristic
459C4⋊C4—22no—
460C4⋊C4—24no—
461C4⋊C4—54no—
462C4⋊C4—104no—
463C4⋊C4—104no—
464C4⋊C4—102no—
465C4⋊C4—104no—
466C4⋊C4C3×C4×D514yescomplemented
467C22⋊C4—58no—
468C22⋊C4—104no—
469C42—22no—
470C42—58no—
471C42—102no—
472C42—102no—
473C42—104no—
474C42—102no—
475C3×C5#229611yescharacteristic, complemented, Hall
476C22×C3—54no—
477C22×C3—102no—
478C22×C3—102no—
479C22×C3—102no—
480C22×C3—102no—
481C22×C3—102no—
482C22×C3—102no—
483C22×C3C22×C4×D511yescharacteristic
484C22×C3C2×D4×D511yescharacteristic
485C22×C3C2×#71111yescharacteristic
486C22×C3C2×Q8×D511yescharacteristic
487C22×C3C2×#71311yescharacteristic
488C22×C3D5×#4111yescharacteristic
489C22×C3D5×#4111yescharacteristic
490C3×C4—24no—
491C3×C4—22no—
492C3×C4—22no—
493C3×C4—42no—
494C3×C4—54no—
495C3×C4—104no—
496C3×C4—102no—
497C3×C4—102no—
498C3×C4—202no—
499C3×C4D5×C4⋊C414yes—
500C2×C5C22×C3×C4⋊C411yescharacteristic
501C2×C5C3×C4×#4111yescharacteristic
502C2×C5C3×C4×#4111yescharacteristic
503C2×C5C3×#52511yescharacteristic
504C2×C5C3×#52511yescharacteristic
505C2×C5C3×#53311yescharacteristic
506C2×C5C3×#53311yescharacteristic
507D5—24no—
508C23—52no—
509C23—52no—
510C23—52no—
511C23—101no—
512C23—101no—
513C23—101no—
514C23—101no—
515C23C23×C3×D511yescharacteristic
516C2×C4—21no—
517C2×C4—21no—
518C2×C4—22no—
519C2×C4—22no—
520C2×C4—21no—
521C2×C4—21no—
522C2×C4—22no—
523C2×C4—22no—
524C2×C4—22no—
525C2×C4—52no—
526C2×C4—52no—
527C2×C4—52no—
528C2×C4—516no—
529C2×C4—54no—
530C2×C4—52no—
531C2×C4—52no—
532C2×C4—108no—
533C2×C4—108no—
534C2×C4—101no—
535C2×C4—101no—
536C2×C4—101no—
537C2×C4—102no—
538C2×C4—101no—
539C2×C4—102no—
540C2×C4—102no—
541C2×C4—102no—
542C2×C4—102no—
543C2×C4C2×C3×C4×D514yes—
544C2×C4C2×C3×C4×D512yes—
545C2×C4C3×D4×D512yes—
546C2×C4C3×#71112yes—
547C2×C4C3×Q8×D512yes—
548C2×C4C3×#71312yes—
549C2×C3—104no—
550C2×C3C2×D5×C4⋊C411yescharacteristic
551C2×C3C4×#71111yescharacteristic
552C2×C3C4×#71311yescharacteristic
553C2×C3#6594011yescharacteristic
554C2×C3#6596111yescharacteristic
555C2×C3#6602211yescharacteristic
556C2×C3#6606211yescharacteristic
557C5C3×#229611yescharacteristic, complemented, Sylow
558C22—54no—
559C22—102no—
560C22—102no—
561C22—102no—
562C22—102no—
563C22—102no—
564C22—102no—
565C22C22×C3×C4×D511yescharacteristic
566C22C2×C3×D4×D511yescharacteristic
567C22C2×C3×#71111yescharacteristic
568C22C2×C3×Q8×D511yescharacteristic
569C22C2×C3×#71311yescharacteristic
570C22C3×D5×#4111yescharacteristic
571C22C3×D5×#4111yescharacteristic
572C4—24no—
573C4—22no—
574C4—22no—
575C4—42no—
576C4—54no—
577C4—104no—
578C4—102no—
579C4—102no—
580C4—202no—
581C4C3×D5×C4⋊C414yes—
582C3#1060769411yescharacteristic, direct product factor, Sylow
583C2—104no—
584C2C2×C3×D5×C4⋊C411yescharacteristic
585C2C3×C4×#71111yescharacteristic
586C2C3×C4×#71311yescharacteristic
587C2C3×#6594011yescharacteristic
588C2C3×#6596111yescharacteristic
589C2C3×#6602211yescharacteristic
590C2C3×#6606211yescharacteristic
subgroupG/H
centerC23×C3C23×D5
commutatorC22×C5C23×C3×C4
FrattiniC23C23×C3×D5
FittingC3×C5×#389C2
socleC23×C3×C5C24
prime radicalC23×C3×D5C23
cosocleC23×C5C24×C3
hypercenterC3×#389D5
hypocenterC5C3×#2296
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
6. C3×#65274C2semidirect
7. C3×C4⋊C4×Dic5C2semidirect
8. C3×#65262C2semidirect
9. C3×#65217C2semidirect
11. C3×#64938C2semidirect
12. #10607694C3direct (N × H)
33. C3×#4038C4semidirect
43. C5×#389C2×C3semidirect
45. #65274C2×C3semidirect
46. C4⋊C4×Dic5C2×C3semidirect
47. #65262C2×C3semidirect
48. #65217C2×C3semidirect
50. #64938C2×C3semidirect
73. C3×C5×C4⋊C4C2×C4semidirect
79. C3×C4⋊Dic5C2×C4semidirect
86. C3×C4×Dic5C2×C4semidirect
93. C3×#389D5semidirect
118. #4038C3×C4semidirect
165. C3×C4×D5C4⋊C4semidirect
214. C5×C4⋊C4C2×C3×C4semidirect
220. C4⋊Dic5C2×C3×C4semidirect
227. C4×Dic5C2×C3×C4semidirect
234. #389C3×D5semidirect
290. C3×C4⋊C4C4×D5semidirect
339. C4×D5C3×C4⋊C4semidirect
466. C4⋊C4C3×C4×D5semidirect
475. C3×C5#2296semidirect
557. C5C3×#2296semidirect
582. C3#10607694direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C3×#40382
C2×C3×C42×D52
C3×C5×#3892
C3×#652782
C3×#652742
C3×C4⋊C4×Dic52
C3×#652622
C3×#652172
C3×#649572
C3×#649382
#106076943
C3×#22965