Finite Group Databasebeta

← C3×#10614686 #14329533

Subgroups — C3×#10614686 #14329533

Order 1920.

1264 conjugacy classes of subgroups.

The subgroup lattice has 588 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C5×#124C211yesmaximal, characteristic
2C2×C3×Q8×Dic5C211yesmaximal, characteristic, complemented
3C2×C3×D4×Dic5C211yesmaximal, characteristic
4C3×#65519C211yesmaximal, characteristic, complemented
5C3×#65510C211yesmaximal, characteristic
6C3×#65240C212yesmaximal, complemented
7C3×#65240C212yesmaximal, complemented
8C3×#65239C212yesmaximal, complemented
9C3×C22⋊C4×Dic5C212yesmaximal, complemented
10C3×C4×C4⋊Dic5C211yesmaximal, characteristic, complemented
11C3×C4×C4⋊Dic5C211yesmaximal, characteristic, complemented
12#10614686C311yesmaximal, characteristic, direct product factor, Hall
13C22×C3×C5×Q8C2211yescharacteristic
14C22×C3×C5×D4C2211yescharacteristic
15C23×C3×Dic5C2212yes—
16C3×C5×#124C418yescomplemented
17C2×C3×C5×C22⋊C4C2212yes—
18C2×C3×C5×C22⋊C4C2212yes—
19C2×C3×C42×C5C2211yescharacteristic
20C2×C3×C22⋊Dic5C2212yes—
21C2×C3×C22⋊Dic5C2212yes—
22C2×C3×C22⋊Dic5C2212yes—
23C3×Q8×Dic5—24no—
24C3×D4×Dic5—24no—
25C2×C3×C4⋊Dic5C2212yes—
26C2×C3×C4⋊Dic5C2211yescharacteristic
27C2×C3×C4⋊Dic5C2211yescharacteristic
28C2×C3×C4⋊Dic5C2211yescharacteristic
29C2×C3×C4⋊Dic5C2211yescharacteristic
30C2×C3×C4×Dic5C2211yescharacteristic
31C2×C3×C4×Dic5C2211yescharacteristic
32C2×C3×C4×Dic5C2212yes—
33C2×C3×C4×Dic5C2212yes—
34C3×#3963C2211yescharacteristic
35C3×#3963C2212yes—
36C3×#3963C2211yescharacteristic
37C3×#3963C2212yes—
38C3×#3963C2212yes—
39C3×#2367—51nomaximal, Hall
40C2×C5×#124C2×C311yescharacteristic
41C2×Q8×Dic5C2×C311yescharacteristic, complemented
42C2×D4×Dic5C2×C311yescharacteristic
43#65519C2×C311yescharacteristic, complemented
44#65510C2×C311yescharacteristic
45#65240C2×C312yescomplemented
46#65240C2×C312yescomplemented
47#65239C2×C312yescomplemented
48C22⋊C4×Dic5C2×C312yescomplemented
49C4×C4⋊Dic5C2×C311yescharacteristic, complemented
50C4×C4⋊Dic5C2×C311yescharacteristic, complemented
51C24×C3×C5C2312yes—
52C2×C3×C5×Q8—22no—
53C2×C3×C5×Q8—22no—
54C2×C3×C5×Q8C2×C414yescomplemented
55C2×C3×C5×D4—22no—
56C2×C3×C5×D4—22no—
57C2×C3×C5×D4C2×C414yes—
58C22×C3×C4×C5C2311yescharacteristic
59C22×C3×C4×C5C2311yescharacteristic
60C22×C3×C4×C5C2312yes—
61C22×C3×C4×C5C2311yescharacteristic
62C22×C3×Dic5—24no—
63C22×C3×Dic5—24no—
64C22×C3×Dic5—42no—
65C22×C3×Dic5C2311yescharacteristic
66C22×C3×Dic5C2312yes—
67C22×C3×Dic5C2311yescharacteristic
68C22×C3×Dic5C2312yes—
69C22×C3×Dic5C2311yescharacteristic
70C22×C3×Dic5C2311yescharacteristic
71C3×C5×C22⋊C4C2×C418yescomplemented
72C3×C5×C22⋊C4C2×C418yescomplemented
73C3×C42×C5C2×C414yescomplemented
74C3×C22⋊Dic5—24no—
75C3×C22⋊Dic5—24no—
76C3×C22⋊Dic5—42no—
77C3×C4⋊Dic5—22no—
78C3×C4⋊Dic5—24no—
79C3×C4⋊Dic5—22no—
80C3×C4⋊Dic5—22no—
81C3×C4⋊Dic5D414yes—
82C3×C4×Dic5—22no—
83C3×C4×Dic5—22no—
84C3×C4×Dic5—24no—
85C3×C4×Dic5—42no—
86C2×C3×#124D511yescharacteristic
87C2×C3×C4×Q8—51no—
88C2×C3×C4×D4—51no—
89C3×#391—51no—
90C3×#390—51no—
91C3×#388—52no—
92C3×#388—52no—
93C3×#385—52no—
94C3×C4×C4⋊C4—51no—
95C3×C4×C4⋊C4—51no—
96C3×C4×C22⋊C4—52no—
97C22×C5×Q8C22×C311yescharacteristic
98C22×C5×D4C22×C311yescharacteristic
99C23×Dic5C22×C312yes—
100C5×#124C3×C418yescomplemented
101C2×C5×C22⋊C4C22×C312yes—
102C2×C5×C22⋊C4C22×C312yes—
103C2×C42×C5C22×C311yescharacteristic
104C2×C22⋊Dic5C22×C312yes—
105C2×C22⋊Dic5C22×C312yes—
106C2×C22⋊Dic5C22×C312yes—
107Q8×Dic5—24no—
108D4×Dic5—24no—
109C2×C4⋊Dic5C22×C312yes—
110C2×C4⋊Dic5C22×C311yescharacteristic
111C2×C4⋊Dic5C22×C311yescharacteristic
112C2×C4⋊Dic5C22×C311yescharacteristic
113C2×C4⋊Dic5C22×C311yescharacteristic
114C2×C4×Dic5C22×C311yescharacteristic
115C2×C4×Dic5C22×C311yescharacteristic
116C2×C4×Dic5C22×C312yes—
117C2×C4×Dic5C22×C312yes—
118#3963C22×C311yescharacteristic
119#3963C22×C312yes—
120#3963C22×C311yescharacteristic
121#3963C22×C312yes—
122#3963C22×C312yes—
123#2367—51noSylow
124C23×C3×C5—22no—
125C23×C3×C5—22no—
126C23×C3×C5—22no—
127C23×C3×C5—22no—
128C23×C3×C5—22no—
129C23×C3×C5—22no—
130C23×C3×C5C22×C414yes—
131C23×C3×C5C2411yescharacteristic
132C3×C5×Q8—28no—
133C3×C5×D4—28no—
134C2×C3×C4×C5—22no—
135C2×C3×C4×C5—21no—
136C2×C3×C4×C5—21no—
137C2×C3×C4×C5—22no—
138C2×C3×C4×C5—21no—
139C2×C3×C4×C5—21no—
140C2×C3×C4×C5C22×C412yes—
141C2×C3×C4×C5C22×C412yes—
142C2×C3×C4×C5C22×C414yes—
143C2×C3×C4×C5C22×C412yes—
144C2×C3×C4×C5C2×D412yes—
145C2×C3×C4×C5#4112yes—
146C2×C3×Dic5—21no—
147C2×C3×Dic5—21no—
148C2×C3×Dic5—22no—
149C2×C3×Dic5—22no—
150C2×C3×Dic5—21no—
151C2×C3×Dic5—21no—
152C2×C3×Dic5—21no—
153C2×C3×Dic5—21no—
154C2×C3×Dic5—21no—
155C2×C3×Dic5—21no—
156C2×C3×Dic5—22no—
157C2×C3×Dic5—22no—
158C2×C3×Dic5—22no—
159C2×C3×Dic5—21no—
160C2×C3×Dic5—21no—
161C2×C3×Dic5—48no—
162C2×C3×Dic5C2×D414yes—
163C2×C3×Dic5#4112yes—
164C2×C3×Dic5#4112yes—
165C22×C3×Q8C2×D511yescharacteristic
166C22×C3×D4C2×D511yescharacteristic
167C23×C3×C4—52no—
168C3×#124Dic518yescomplemented
169C3×C4×Q8—104no—
170C3×C4×D4—104no—
171C2×C3×C4⋊C4—51no—
172C2×C3×C4⋊C4—51no—
173C2×C3×C4⋊C4—51no—
174C2×C3×C4⋊C4—51no—
175C2×C3×C4⋊C4—52no—
176C2×C3×C22⋊C4—52no—
177C2×C3×C22⋊C4—52no—
178C2×C3×C22⋊C4—52no—
179C2×C3×C22⋊C4C2×D512yes—
180C2×C3×C22⋊C4C2×D512yes—
181C2×C3×C42—52no—
182C2×C3×C42—51no—
183C2×C3×C42—51no—
184C2×C3×C42—52no—
185C2×C3×C42C2×D511yescharacteristic
186C3×#95—51no—
187C3×#95—52no—
188C3×#95—52no—
189C3×#95—51no—
190C3×#95—52no—
191C24×C5C23×C312yes—
192C2×C5×Q8—22no—
193C2×C5×Q8—22no—
194C2×C5×Q8C2×C3×C414yescomplemented
195C2×C5×D4—22no—
196C2×C5×D4—22no—
197C2×C5×D4C2×C3×C414yes—
198C22×C4×C5C23×C311yescharacteristic
199C22×C4×C5C23×C311yescharacteristic
200C22×C4×C5C23×C312yes—
201C22×C4×C5C23×C311yescharacteristic
202C22×Dic5—24no—
203C22×Dic5—24no—
204C22×Dic5—42no—
205C22×Dic5C23×C311yescharacteristic
206C22×Dic5C23×C312yes—
207C22×Dic5C23×C311yescharacteristic
208C22×Dic5C23×C312yes—
209C22×Dic5C23×C311yescharacteristic
210C22×Dic5C23×C311yescharacteristic
211C5×C22⋊C4C2×C3×C418yescomplemented
212C5×C22⋊C4C2×C3×C418yescomplemented
213C42×C5C2×C3×C414yescomplemented
214C22⋊Dic5—24no—
215C22⋊Dic5—24no—
216C22⋊Dic5—42no—
217C4⋊Dic5—22no—
218C4⋊Dic5—24no—
219C4⋊Dic5—22no—
220C4⋊Dic5—22no—
221C4⋊Dic5C3×D414yes—
222C4×Dic5—22no—
223C4×Dic5—22no—
224C4×Dic5—24no—
225C4×Dic5—42no—
226C2×#124C3×D511yescharacteristic
227C2×C4×Q8—51no—
228C2×C4×D4—51no—
229#391—51no—
230#390—51no—
231#388—52no—
232#388—52no—
233#385—52no—
234C4×C4⋊C4—51no—
235C4×C4⋊C4—51no—
236C4×C22⋊C4—52no—
237C22×C3×C5—24no—
238C22×C3×C5—24no—
239C22×C3×C5—24no—
240C22×C3×C5—42no—
241C22×C3×C5—42no—
242C22×C3×C5—42no—
243C22×C3×C5—42no—
244C22×C3×C5C23×C411yescharacteristic
245C22×C3×C5C22×D411yescharacteristic
246C22×C3×C5C2×#4111yescharacteristic
247C22×C3×C5C2×#4111yescharacteristic
248C22×C3×C5C2×#4111yescharacteristic
249C22×C3×C5H(5,𝔽2)11yescharacteristic
250C22×C3×C52−1+411yescharacteristic
251C3×C4×C5—24no—
252C3×C4×C5—22no—
253C3×C4×C5—22no—
254C3×C4×C5C4×D414yes—
255C3×Dic5—22no—
256C3×Dic5—24no—
257C3×Dic5—22no—
258C3×Dic5—41no—
259C3×Dic5—41no—
260C3×Dic5—42no—
261C24×C3C22×D512yes—
262C2×C3×Q8—22no—
263C2×C3×Q8—22no—
264C2×C3×Q8C2×Dic514yescomplemented
265C2×C3×D4—22no—
266C2×C3×D4—22no—
267C2×C3×D4C2×Dic514yes—
268C22×C3×C4—51no—
269C22×C3×C4—51no—
270C22×C3×C4—52no—
271C22×C3×C4—51no—
272C22×C3×C4—52no—
273C22×C3×C4—51no—
274C22×C3×C4—104no—
275C22×C3×C4—104no—
276C22×C3×C4—202no—
277C22×C3×C4C22×D511yescharacteristic
278C22×C3×C4C22×D512yes—
279C22×C3×C4C22×D511yescharacteristic
280C22×C3×C4C22×D511yescharacteristic
281C3×C4⋊C4—54no—
282C3×C4⋊C4—102no—
283C3×C4⋊C4—102no—
284C3×C4⋊C4—104no—
285C3×C4⋊C4—102no—
286C3×C22⋊C4—104no—
287C3×C22⋊C4—104no—
288C3×C22⋊C4—202no—
289C3×C22⋊C4C2×Dic518yescomplemented
290C3×C22⋊C4C2×Dic518yescomplemented
291C3×C42—104no—
292C3×C42—102no—
293C3×C42—102no—
294C3×C42—202no—
295C3×C42C2×Dic514yescomplemented
296C23×C5—22no—
297C23×C5—22no—
298C23×C5—22no—
299C23×C5—22no—
300C23×C5—22no—
301C23×C5—22no—
302C23×C5C22×C3×C414yes—
303C23×C5C24×C311yescharacteristic
304C5×Q8—28no—
305C5×D4—28no—
306C2×C4×C5—22no—
307C2×C4×C5—21no—
308C2×C4×C5—21no—
309C2×C4×C5—22no—
310C2×C4×C5—21no—
311C2×C4×C5—21no—
312C2×C4×C5C22×C3×C412yes—
313C2×C4×C5C22×C3×C412yes—
314C2×C4×C5C22×C3×C414yes—
315C2×C4×C5C22×C3×C412yes—
316C2×C4×C5C2×C3×D412yes—
317C2×C4×C5C3×#4112yes—
318C2×Dic5—21no—
319C2×Dic5—21no—
320C2×Dic5—22no—
321C2×Dic5—22no—
322C2×Dic5—21no—
323C2×Dic5—21no—
324C2×Dic5—21no—
325C2×Dic5—21no—
326C2×Dic5—22no—
327C2×Dic5—21no—
328C2×Dic5—21no—
329C2×Dic5—22no—
330C2×Dic5—22no—
331C2×Dic5—21no—
332C2×Dic5—21no—
333C2×Dic5—48no—
334C2×Dic5C2×C3×D414yes—
335C2×Dic5C3×#4112yes—
336C2×Dic5C3×#4112yes—
337C22×Q8C2×C3×D511yescharacteristic
338C22×D4C2×C3×D511yescharacteristic
339C23×C4—52no—
340#124C3×Dic518yescomplemented
341C4×Q8—104no—
342C4×D4—104no—
343C2×C4⋊C4—51no—
344C2×C4⋊C4—52no—
345C2×C4⋊C4—51no—
346C2×C4⋊C4—51no—
347C2×C4⋊C4—51no—
348C2×C22⋊C4—52no—
349C2×C22⋊C4—52no—
350C2×C22⋊C4—52no—
351C2×C22⋊C4C2×C3×D512yes—
352C2×C22⋊C4C2×C3×D512yes—
353C2×C42—51no—
354C2×C42—52no—
355C2×C42—51no—
356C2×C42—52no—
357C2×C42C2×C3×D511yescharacteristic
358#95—51no—
359#95—52no—
360#95—52no—
361#95—51no—
362#95—52no—
363C2×C3×C5—44no—
364C2×C3×C5C2×C4×D411yescharacteristic
365C2×C3×C5C4×#4111yescharacteristic
366C2×C3×C5#52011yescharacteristic
367C2×C3×C5#54611yescharacteristic
368C2×C3×C5#54811yescharacteristic
369C2×C3×C5#55611yescharacteristic
370C2×C3×C5#55911yescharacteristic
371C23×C3—22no—
372C23×C3—22no—
373C23×C3—22no—
374C23×C3—22no—
375C23×C3—22no—
376C23×C3—22no—
377C23×C3C22×Dic514yes—
378C23×C3C23×D511yescharacteristic
379C3×Q8—28no—
380C3×D4—28no—
381C2×C3×C4—22no—
382C2×C3×C4—22no—
383C2×C3×C4—21no—
384C2×C3×C4—21no—
385C2×C3×C4—21no—
386C2×C3×C4—21no—
387C2×C3×C4—54no—
388C2×C3×C4—52no—
389C2×C3×C4—52no—
390C2×C3×C4—101no—
391C2×C3×C4—101no—
392C2×C3×C4—102no—
393C2×C3×C4—102no—
394C2×C3×C4—101no—
395C2×C3×C4—101no—
396C2×C3×C4—101no—
397C2×C3×C4—101no—
398C2×C3×C4—102no—
399C2×C3×C4—102no—
400C2×C3×C4—101no—
401C2×C3×C4—101no—
402C2×C3×C4—102no—
403C2×C3×C4—101no—
404C2×C3×C4—101no—
405C2×C3×C4—208no—
406C2×C3×C4D4×D512yes—
407C2×C3×C4#71112yes—
408C2×C3×C4C22×Dic512yes—
409C2×C3×C4C22×Dic512yes—
410C2×C3×C4C22×Dic514yes—
411C2×C3×C4C22×Dic512yes—
412C22×C5—24no—
413C22×C5—24no—
414C22×C5—24no—
415C22×C5—42no—
416C22×C5—42no—
417C22×C5—42no—
418C22×C5—42no—
419C22×C5C23×C3×C411yescharacteristic
420C22×C5C22×C3×D411yescharacteristic
421C22×C5C2×C3×#4111yescharacteristic
422C22×C5C2×C3×#4111yescharacteristic
423C22×C5C2×C3×#4111yescharacteristic
424C22×C5C3×H(5,𝔽2)11yescharacteristic
425C22×C5C3×2−1+411yescharacteristic
426C4×C5—24no—
427C4×C5—22no—
428C4×C5—22no—
429C4×C5C3×C4×D414yes—
430Dic5—22no—
431Dic5—24no—
432Dic5—22no—
433Dic5—42no—
434Dic5—41no—
435Dic5—41no—
436C24C22×C3×D512yes—
437C2×Q8—22no—
438C2×Q8—22no—
439C2×Q8C2×C3×Dic514yescomplemented
440C2×D4—22no—
441C2×D4—22no—
442C2×D4C2×C3×Dic514yes—
443C22×C4—51no—
444C22×C4—51no—
445C22×C4—52no—
446C22×C4—51no—
447C22×C4—52no—
448C22×C4—51no—
449C22×C4—104no—
450C22×C4—104no—
451C22×C4—202no—
452C22×C4C22×C3×D511yescharacteristic
453C22×C4C22×C3×D512yes—
454C22×C4C22×C3×D511yescharacteristic
455C22×C4C22×C3×D511yescharacteristic
456C4⋊C4—54no—
457C4⋊C4—104no—
458C4⋊C4—102no—
459C4⋊C4—102no—
460C4⋊C4—102no—
461C22⋊C4—104no—
462C22⋊C4—104no—
463C22⋊C4—202no—
464C22⋊C4C2×C3×Dic518yescomplemented
465C22⋊C4C2×C3×Dic518yescomplemented
466C42—104no—
467C42—102no—
468C42—102no—
469C42—202no—
470C42C2×C3×Dic514yescomplemented
471C3×C5#236711yescharacteristic, complemented, Hall
472C22×C3—24no—
473C22×C3—24no—
474C22×C3—24no—
475C22×C3—42no—
476C22×C3—42no—
477C22×C3—42no—
478C22×C3—42no—
479C22×C3C2×D4×D511yescharacteristic
480C22×C3C2×#71111yescharacteristic
481C22×C3D5×#4111yescharacteristic
482C22×C3D5×#4111yescharacteristic
483C22×C3#414911yescharacteristic
484C22×C3#415011yescharacteristic
485C22×C3C23×Dic511yescharacteristic
486C3×C4—24no—
487C3×C4—22no—
488C3×C4—22no—
489C3×C4—104no—
490C3×C4—102no—
491C3×C4—102no—
492C3×C4—201no—
493C3×C4—201no—
494C3×C4—202no—
495C3×C4D4×Dic514yes—
496C2×C5—44no—
497C2×C5C2×C3×C4×D411yescharacteristic
498C2×C5C3×C4×#4111yescharacteristic
499C2×C5C3×#52011yescharacteristic
500C2×C5C3×#54611yescharacteristic
501C2×C5C3×#54811yescharacteristic
502C2×C5C3×#55611yescharacteristic
503C2×C5C3×#55911yescharacteristic
504C23—22no—
505C23—22no—
506C23—22no—
507C23—22no—
508C23—22no—
509C23—22no—
510C23C22×C3×Dic514yes—
511C23C23×C3×D511yescharacteristic
512Q8—28no—
513D4—28no—
514C2×C4—22no—
515C2×C4—22no—
516C2×C4—21no—
517C2×C4—21no—
518C2×C4—21no—
519C2×C4—21no—
520C2×C4—54no—
521C2×C4—52no—
522C2×C4—52no—
523C2×C4—101no—
524C2×C4—101no—
525C2×C4—102no—
526C2×C4—102no—
527C2×C4—101no—
528C2×C4—101no—
529C2×C4—101no—
530C2×C4—101no—
531C2×C4—102no—
532C2×C4—102no—
533C2×C4—101no—
534C2×C4—101no—
535C2×C4—102no—
536C2×C4—101no—
537C2×C4—101no—
538C2×C4—208no—
539C2×C4C3×D4×D512yes—
540C2×C4C3×#71112yes—
541C2×C4C22×C3×Dic512yes—
542C2×C4C22×C3×Dic512yes—
543C2×C4C22×C3×Dic514yes—
544C2×C4C22×C3×Dic512yes—
545C2×C3—44no—
546C2×C3#6600511yescharacteristic
547C2×C3#6601011yescharacteristic
548C2×C3#6601111yescharacteristic
549C2×C3#6601511yescharacteristic
550C2×C3C2×D4×Dic511yescharacteristic
551C2×C3#41×Dic511yescharacteristic
552C2×C3#6616111yescharacteristic
553C5C3×#236711yescharacteristic, complemented, Sylow
554C22—24no—
555C22—24no—
556C22—24no—
557C22—42no—
558C22—42no—
559C22—42no—
560C22—42no—
561C22C2×C3×D4×D511yescharacteristic
562C22C2×C3×#71111yescharacteristic
563C22C3×D5×#4111yescharacteristic
564C22C3×D5×#4111yescharacteristic
565C22C3×#414911yescharacteristic
566C22C3×#415011yescharacteristic
567C22C23×C3×Dic511yescharacteristic
568C4—24no—
569C4—22no—
570C4—22no—
571C4—102no—
572C4—104no—
573C4—102no—
574C4—201no—
575C4—201no—
576C4—202no—
577C4C3×D4×Dic514yes—
578C3#1061468611yescharacteristic, direct product factor, Sylow
579C2—44no—
580C2C3×#6600511yescharacteristic
581C2C3×#6601011yescharacteristic
582C2C3×#6601111yescharacteristic
583C2C3×#6601511yescharacteristic
584C2C2×C3×D4×Dic511yescharacteristic
585C2C3×#41×Dic511yescharacteristic
586C2C3×#6616111yescharacteristic
subgroupG/H
centerC23×C3C23×D5
commutatorC22×C5C23×C3×C4
FrattiniC23C23×C3×D5
FittingC2×C3×C5×#124C2
socleC23×C3×C5C24
prime radicalC22×C3×C5×D4C22
cosocleC23×C5C24×C3
hypercenterC2×C3×#124D5
hypocenterC5C3×#2367
LCSG ▷ C22×C5 ▷ C5
UCSC1 ◁ C23×C3 ◁ C2×C3×#124

Complements

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

NH ≅ G/Ntype
2. C2×C3×Q8×Dic5C2semidirect
4. C3×#65519C2semidirect
6. C3×#65240C2semidirect
7. C3×#65240C2semidirect
8. C3×#65239C2semidirect
9. C3×C22⋊C4×Dic5C2semidirect
10. C3×C4×C4⋊Dic5C2semidirect
11. C3×C4×C4⋊Dic5C2semidirect
12. #10614686C3direct (N × H)
16. C3×C5×#124C4semidirect
41. C2×Q8×Dic5C2×C3semidirect
43. #65519C2×C3semidirect
45. #65240C2×C3semidirect
46. #65240C2×C3semidirect
47. #65239C2×C3semidirect
48. C22⋊C4×Dic5C2×C3semidirect
49. C4×C4⋊Dic5C2×C3semidirect
50. C4×C4⋊Dic5C2×C3semidirect
54. C2×C3×C5×Q8C2×C4semidirect
71. C3×C5×C22⋊C4C2×C4semidirect
72. C3×C5×C22⋊C4C2×C4semidirect
73. C3×C42×C5C2×C4semidirect
100. C5×#124C3×C4semidirect
168. C3×#124Dic5semidirect
194. C2×C5×Q8C2×C3×C4semidirect
211. C5×C22⋊C4C2×C3×C4semidirect
212. C5×C22⋊C4C2×C3×C4semidirect
213. C42×C5C2×C3×C4semidirect
264. C2×C3×Q8C2×Dic5semidirect
289. C3×C22⋊C4C2×Dic5semidirect
290. C3×C22⋊C4C2×Dic5semidirect
295. C3×C42C2×Dic5semidirect
340. #124C3×Dic5semidirect
439. C2×Q8C2×C3×Dic5semidirect
464. C22⋊C4C2×C3×Dic5semidirect
465. C22⋊C4C2×C3×Dic5semidirect
470. C42C2×C3×Dic5semidirect
471. C3×C5#2367semidirect
553. C5C3×#2367semidirect
578. C3#10614686direct (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×#1242
C2×C3×Q8×Dic52
C2×C3×D4×Dic52
C3×#655192
C3×#655102
C3×#652402
C3×#652392
C3×C22⋊C4×Dic52
C3×C4×C4⋊Dic52
#106146863
C3×#23675