Finite Group Databasebeta

← #14327374

Subgroups — #14327374

Order 1920.

1320 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×C5×#67C211yesmaximal, characteristic
2C2×C3×#4072C211yesmaximal, characteristic, complemented
3C2×D3×C4⋊Dic5C211yesmaximal, characteristic, complemented
4#11751313C211yesmaximal, characteristic, complemented
5#11749519C212yesmaximal
6#11749479C212yesmaximal, complemented
7Dic5×(C2×D3)⋊C4C212yesmaximal, complemented
8#11748786C211yesmaximal, characteristic, complemented
9Dic3×C4⋊Dic5C211yesmaximal, characteristic, complemented
10#11748619C211yesmaximal, characteristic, complemented
11#11748573C212yesmaximal, complemented
12#10614066—31nomaximal, Hall
13C23×C3×C4×C5C2211yescharacteristic
14C22×C5×#67C2211yescharacteristic
15C22×C4×C5×D3C2211yescharacteristic
16C22×D3×Dic5C2212yes—
17C2×#6719C2212yes—
18C2×C4⋊Dic15C2211yescharacteristic
19C2×C4⋊Dic15C2211yescharacteristic
20C2×C5×#217C2211yescharacteristic
21C4×C5×#67C418yescomplemented
22C2×C5×(C2×D3)⋊C4C2211yescharacteristic
23C2×C5×Dic3⋊C4C2211yescharacteristic
24C2×C4×C5×Dic3C2211yescharacteristic
25C2×C3×C22⋊Dic5C2212yes—
26C3×#4072—24no—
27C2×C3×C4⋊Dic5C2211yescharacteristic
28C2×C3×C4⋊Dic5C2211yescharacteristic
29C2×C3×C4×Dic5C2212yes—
30C2×Dic3⋊Dic5C2212yes—
31C2×(C2×D3)⋊Dic5C2212yes—
32C2×Dic3×Dic5C2212yes—
33D3×C4⋊Dic5—24no—
34#91115C2212yes—
35#90994C2212yes—
36#90994C2212yes—
37#90994C2212yes—
38#90994C2212yes—
39#82272—51nomaximal, Hall
40C2×C4×C5×D4—31no—
41C2×#4072D311yescharacteristic, complemented
42C22×C4⋊Dic5—31no—
43#65509—32no—
44#65501—31no—
45#65501—31no—
46#65270—32no—
47#65240—32no—
48C22⋊C4×Dic5—32no—
49#65225—31no—
50C4×C4⋊Dic5—31no—
51C24×C3×C5C2311yescharacteristic
52C23×C5×D3C2311yescharacteristic
53C22×C3×C4×C5—22no—
54C22×C3×C4×C5—22no—
55C22×C3×C4×C5C2×C414yescomplemented
56C22×C3×C4×C5C2311yescharacteristic
57C22×C3×C4×C5C2311yescharacteristic
58C22×Dic15C2312yes—
59C22×Dic15C2312yes—
60C2×C5×#67—22no—
61C2×C5×#67—22no—
62C2×C5×#67C2×C414yes—
63C22×C5×Dic3C2311yescharacteristic
64C22×C5×Dic3C2311yescharacteristic
65C22×C5×Dic3C2311yescharacteristic
66C2×C4×C5×D3—22no—
67C2×C4×C5×D3—22no—
68C2×C4×C5×D3C2×C414yes—
69C22×C3×Dic5C2312yes—
70C22×C3×Dic5C2312yes—
71C2×D3×Dic5—24no—
72C2×D3×Dic5—24no—
73C2×D3×Dic5—42no—
74#6719—42no—
75C4⋊Dic15—22no—
76C4⋊Dic15—22no—
77C5×#217C2×C414yescomplemented
78C5×(C2×D3)⋊C4C2×C414yes—
79C5×Dic3⋊C4C2×C414yescomplemented
80C4×C5×Dic3C2×C414yescomplemented
81C3×C22⋊Dic5—24no—
82C3×C4⋊Dic5—22no—
83C3×C4⋊Dic5D414yescomplemented
84C3×C4×Dic5—24no—
85Dic3⋊Dic5—24no—
86(C2×D3)⋊Dic5—24no—
87Dic3×Dic5—42no—
88C2×C3×#117—51no—
89C2×C4×#67D511yescharacteristic
90C2×D3×C4⋊C4—51no—
91#5212—51no—
92#4987—51no—
93#4977—51no—
94Dic3×C4⋊C4—51no—
95#4956—52no—
96#4945—52no—
97C4×(C2×D3)⋊C4—52no—
98#4933—52no—
99C22×C5×D4—31no—
100C23×C4×C5—31no—
101C23×C4×C5C2×D311yescharacteristic
102C23×Dic5—32no—
103C4×C5×D4—38no—
104C2×C5×C4⋊C4—31no—
105C2×C5×C22⋊C4—31no—
106C2×C5×C22⋊C4—31no—
107C2×C42×C5—31no—
108C2×C22⋊Dic5—32no—
109C2×C22⋊Dic5—32no—
110C2×C22⋊Dic5C2×D312yes—
111#4072—24no—
112C2×C4⋊Dic5—31no—
113C2×C4⋊Dic5—31no—
114C2×C4⋊Dic5—32no—
115C2×C4⋊Dic5—64no—
116C2×C4⋊Dic5C2×D311yescharacteristic
117C2×C4⋊Dic5C2×D311yescharacteristic
118C2×C4×Dic5—32no—
119C2×C4×Dic5C2×D312yes—
120#3963—32no—
121#3963—32no—
122#3963—32no—
123#3963—32no—
124#3963—32no—
125#2352—151noSylow
126C23×C3×C5—21no—
127C23×C3×C5—21no—
128C23×C3×C5—21no—
129C23×C3×C5—21no—
130C23×C3×C5—21no—
131C23×C3×C5—21no—
132C23×C3×C5C22×C412yes—
133C23×C3×C5C2411yescharacteristic
134C22×C5×D3—21no—
135C22×C5×D3—21no—
136C22×C5×D3—21no—
137C22×C5×D3—21no—
138C22×C5×D3C22×C412yes—
139C22×C5×D3#4112yes—
140C22×C5×D3#4112yes—
141C2×C3×C4×C5—21no—
142C2×C3×C4×C5—21no—
143C2×C3×C4×C5—28no—
144C2×C3×C4×C5C22×C412yes—
145C2×C3×C4×C5C22×C412yes—
146C2×C3×C4×C5C2×D412yes—
147C2×C3×C4×C5#4112yes—
148C2×Dic15—22no—
149C2×Dic15—22no—
150C2×Dic15—22no—
151C2×Dic15—22no—
152C2×Dic15—22no—
153C2×Dic15—22no—
154C5×#67—28no—
155C2×C5×Dic3—21no—
156C2×C5×Dic3—21no—
157C2×C5×Dic3—21no—
158C2×C5×Dic3—21no—
159C2×C5×Dic3—21no—
160C2×C5×Dic3—21no—
161C2×C5×Dic3C22×C412yes—
162C2×C5×Dic3C22×C412yes—
163C2×C5×Dic3C22×C412yes—
164C4×C5×D3—28no—
165C2×C3×Dic5—22no—
166C2×C3×Dic5—22no—
167C2×C3×Dic5—22no—
168C2×C3×Dic5—22no—
169C2×C3×Dic5—22no—
170C2×C3×Dic5C2×D414yes—
171D3×Dic5—48no—
172C23×C3×C4C2×D511yescharacteristic
173C22×#67C2×D511yescharacteristic
174C22×C4×D3—52no—
175C22×C4×D3C2×D511yescharacteristic
176C3×#117—104no—
177C2×C3×C4⋊C4—51no—
178C2×C3×C4⋊C4—51no—
179C2×C3×C22⋊C4—52no—
180C2×C3×C42—52no—
181C2×#217—52no—
182C2×#217C2×D511yescharacteristic
183C4×#67Dic518yescomplemented
184C2×(C2×D3)⋊C4—52no—
185C2×(C2×D3)⋊C4C2×D511yescharacteristic
186C2×C4⋊Dic3—51no—
187C2×C4⋊Dic3—51no—
188C2×Dic3⋊C4—52no—
189C2×Dic3⋊C4C2×D511yescharacteristic
190C2×C4×Dic3—52no—
191C2×C4×Dic3C2×D511yescharacteristic
192D3×C4⋊C4—104no—
193C3⋊#95—52no—
194C3⋊#95—52no—
195C3⋊#95—52no—
196C3⋊#95—52no—
197C3⋊#95—52no—
198C24×C5—31no—
199C24×C5C22×D311yescharacteristic
200C2×C5×D4—34no—
201C2×C5×D4—62no—
202C2×C5×D4—62no—
203C22×C4×C5—22no—
204C22×C4×C5—22no—
205C22×C4×C5—31no—
206C22×C4×C5—31no—
207C22×C4×C5—31no—
208C22×C4×C5—34no—
209C22×C4×C5—62no—
210C22×C4×C5—62no—
211C22×C4×C5C4×D314yescomplemented
212C22×C4×C5C22×D311yescharacteristic
213C22×C4×C5C22×D311yescharacteristic
214C22×Dic5—32no—
215C22×Dic5—32no—
216C22×Dic5—64no—
217C22×Dic5—64no—
218C22×Dic5—122no—
219C22×Dic5C22×D312yes—
220C22×Dic5C22×D312yes—
221C5×C4⋊C4—34no—
222C5×C22⋊C4—34no—
223C5×C22⋊C4—34no—
224C42×C5—34no—
225C22⋊Dic5—24no—
226C22⋊Dic5—64no—
227C22⋊Dic5—122no—
228C4⋊Dic5—22no—
229C4⋊Dic5—62no—
230C4⋊Dic5—62no—
231C4⋊Dic5—64no—
232C4⋊Dic5#6714yescomplemented
233C4×Dic5—24no—
234C4×Dic5—122no—
235C2×C4×D4—31no—
236C2×#117—51no—
237C22×C4⋊C4—151no—
238#388—152no—
239#387—152no—
240#386—152no—
241#382—151no—
242#380—151no—
243#380—151no—
244C4×C4⋊C4—151no—
245C4×C22⋊C4—152no—
246C22×C3×C5—22no—
247C22×C3×C5—22no—
248C22×C3×C5—22no—
249C22×C3×C5—41no—
250C22×C3×C5—41no—
251C22×C3×C5—41no—
252C22×C3×C5—41no—
253C22×C3×C5C23×C411yescharacteristic
254C22×C3×C5C22×D411yescharacteristic
255C22×C3×C5C2×#4111yescharacteristic
256C22×C3×C5C2×#4111yescharacteristic
257C22×C3×C5C2×#4111yescharacteristic
258C22×C3×C5H(5,𝔽2)11yescharacteristic
259C22×C3×C52−1+411yescharacteristic
260C2×C5×D3—22no—
261C2×C5×D3—22no—
262C2×C5×D3—22no—
263C2×C5×D3—22no—
264C2×C5×D3—22no—
265C2×C5×D3—22no—
266C2×C5×D3#11714yescomplemented
267C3×C4×C5—22no—
268C3×C4×C5C4×D414yes—
269Dic15—42no—
270Dic15—42no—
271C3×Dic5—24no—
272C3×Dic5—42no—
273C5×Dic3—22no—
274C5×Dic3—22no—
275C5×Dic3—22no—
276C24×C3C22×D511yescharacteristic
277C23×D3C22×D511yescharacteristic
278C22×C3×C4—22no—
279C22×C3×C4—22no—
280C22×C3×C4—52no—
281C22×C3×C4—52no—
282C22×C3×C4C2×Dic514yescomplemented
283C22×C3×C4C22×D511yescharacteristic
284C22×C3×C4C22×D511yescharacteristic
285C2×#67—22no—
286C2×#67—22no—
287C2×#67C2×Dic514yes—
288C22×Dic3—52no—
289C22×Dic3—52no—
290C22×Dic3C22×D511yescharacteristic
291C22×Dic3C22×D511yescharacteristic
292C22×Dic3C22×D511yescharacteristic
293C2×C4×D3—22no—
294C2×C4×D3—22no—
295C2×C4×D3—104no—
296C2×C4×D3—104no—
297C2×C4×D3—202no—
298C2×C4×D3C2×Dic514yes—
299C3×C4⋊C4—54no—
300C3×C4⋊C4—102no—
301C3×C22⋊C4—104no—
302C3×C42—104no—
303#217—202no—
304#217C2×Dic514yescomplemented
305(C2×D3)⋊C4—104no—
306(C2×D3)⋊C4C2×Dic514yes—
307C4⋊Dic3—102no—
308C4⋊Dic3—102no—
309Dic3⋊C4—104no—
310Dic3⋊C4C2×Dic514yescomplemented
311C4×Dic3—202no—
312C4×Dic3C2×Dic514yescomplemented
313C23×C5—21no—
314C23×C5—21no—
315C23×C5—21no—
316C23×C5—21no—
317C23×C5—21no—
318C23×C5—21no—
319C23×C5—32no—
320C23×C5—32no—
321C23×C5—32no—
322C23×C5—61no—
323C23×C5—61no—
324C23×C5—61no—
325C23×C5—61no—
326C23×C5C2×C4×D312yes—
327C23×C5C23×D311yescharacteristic
328C5×D4—68no—
329C2×C4×C5—21no—
330C2×C4×C5—21no—
331C2×C4×C5—28no—
332C2×C4×C5—32no—
333C2×C4×C5—32no—
334C2×C4×C5—32no—
335C2×C4×C5—61no—
336C2×C4×C5—61no—
337C2×C4×C5—61no—
338C2×C4×C5—61no—
339C2×C4×C5—61no—
340C2×C4×C5—61no—
341C2×C4×C5—68no—
342C2×C4×C5C2×C4×D312yes—
343C2×C4×C5C2×C4×D312yes—
344C2×C4×C5#23512yes—
345C2×C4×C5C2×#6712yes—
346C2×Dic5—22no—
347C2×Dic5—22no—
348C2×Dic5—22no—
349C2×Dic5—22no—
350C2×Dic5—22no—
351C2×Dic5—62no—
352C2×Dic5—62no—
353C2×Dic5—62no—
354C2×Dic5—62no—
355C2×Dic5—62no—
356C2×Dic5—62no—
357C2×Dic5—128no—
358C2×Dic5C2×#6714yes—
359C22×D4—31no—
360C23×C4—31no—
361C23×C4—152no—
362C23×C4D3×D511yescharacteristic
363C4×D4—38no—
364#117—104no—
365C2×C4⋊C4—31no—
366C2×C4⋊C4—51no—
367C2×C4⋊C4—51no—
368C2×C4⋊C4—152no—
369C2×C4⋊C4—151no—
370C2×C4⋊C4—151no—
371C2×C4⋊C4—304no—
372C2×C22⋊C4—31no—
373C2×C22⋊C4—31no—
374C2×C22⋊C4—52no—
375C2×C22⋊C4—152no—
376C2×C22⋊C4—152no—
377C2×C42—31no—
378C2×C42—52no—
379C2×C42—152no—
380#95—152no—
381#95—152no—
382#95—152no—
383#95—152no—
384#95—152no—
385C2×C3×C5—42no—
386C2×C3×C5C2×#11711yescharacteristic
387C2×C3×C5C2×C4×D411yescharacteristic
388C2×C3×C5#52011yescharacteristic
389C2×C3×C5#54611yescharacteristic
390C2×C3×C5#54811yescharacteristic
391C2×C3×C5#55211yescharacteristic
392C2×C3×C5#55311yescharacteristic
393C5×D3—24no—
394C23×C3—21no—
395C23×C3—21no—
396C23×C3—21no—
397C23×C3—21no—
398C23×C3—21no—
399C23×C3—21no—
400C23×C3C22×Dic512yes—
401C23×C3C23×D511yescharacteristic
402C22×D3—21no—
403C22×D3—21no—
404C22×D3—21no—
405C22×D3—21no—
406C22×D3#70912yes—
407C22×D3#70912yes—
408C22×D3C22×Dic512yes—
409C2×C3×C4—21no—
410C2×C3×C4—21no—
411C2×C3×C4—28no—
412C2×C3×C4—54no—
413C2×C3×C4—102no—
414C2×C3×C4—102no—
415C2×C3×C4—102no—
416C2×C3×C4—102no—
417C2×C3×C4—102no—
418C2×C3×C4D4×D512yes—
419C2×C3×C4#71112yes—
420C2×C3×C4C22×Dic512yes—
421C2×C3×C4C22×Dic512yes—
422#67—28no—
423C2×Dic3—21no—
424C2×Dic3—21no—
425C2×Dic3—21no—
426C2×Dic3—21no—
427C2×Dic3—21no—
428C2×Dic3—21no—
429C2×Dic3—102no—
430C2×Dic3—102no—
431C2×Dic3—102no—
432C2×Dic3—102no—
433C2×Dic3—102no—
434C2×Dic3—102no—
435C2×Dic3C22×Dic512yes—
436C2×Dic3C22×Dic512yes—
437C2×Dic3C22×Dic512yes—
438C4×D3—28no—
439C4×D3—208no—
440C22×C5—22no—
441C22×C5—22no—
442C22×C5—22no—
443C22×C5—34no—
444C22×C5—41no—
445C22×C5—41no—
446C22×C5—41no—
447C22×C5—41no—
448C22×C5—62no—
449C22×C5—62no—
450C22×C5—62no—
451C22×C5—62no—
452C22×C5—62no—
453C22×C5—62no—
454C22×C5C22×C4×D311yescharacteristic
455C22×C5C2×#23511yescharacteristic
456C22×C5D3×#4111yescharacteristic
457C22×C5D3×#4111yescharacteristic
458C22×C5#100911yescharacteristic
459C22×C5#101011yescharacteristic
460C22×C5C22×#6711yescharacteristic
461C4×C5—22no—
462C4×C5—62no—
463C4×C5—62no—
464C4×C5—62no—
465C4×C5C4×#6714yes—
466Dic5—24no—
467Dic5—42no—
468Dic5—122no—
469Dic5—122no—
470C24—31no—
471C24C2×D3×D511yescharacteristic
472C2×D4—34no—
473C2×D4—62no—
474C2×D4—62no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—31no—
478C22×C4—31no—
479C22×C4—31no—
480C22×C4—34no—
481C22×C4—52no—
482C22×C4—52no—
483C22×C4—62no—
484C22×C4—62no—
485C22×C4—152no—
486C22×C4—152no—
487C22×C4—304no—
488C22×C4—304no—
489C22×C4—602no—
490C22×C4D3×Dic514yescomplemented
491C22×C4C2×D3×D511yescharacteristic
492C22×C4C2×D3×D511yescharacteristic
493C4⋊C4—34no—
494C4⋊C4—54no—
495C4⋊C4—102no—
496C4⋊C4—304no—
497C4⋊C4—302no—
498C4⋊C4—302no—
499C22⋊C4—34no—
500C22⋊C4—34no—
501C22⋊C4—104no—
502C22⋊C4—304no—
503C22⋊C4—602no—
504C42—34no—
505C42—104no—
506C42—602no—
507C3×C5#235211yescharacteristic, complemented, Hall
508C22×C3—22no—
509C22×C3—22no—
510C22×C3—22no—
511C22×C3—41no—
512C22×C3—41no—
513C22×C3—41no—
514C22×C3—41no—
515C22×C3C2×#70911yescharacteristic
516C22×C3C2×#70911yescharacteristic
517C22×C3C2×D4×D511yescharacteristic
518C22×C3C2×#71111yescharacteristic
519C22×C3#414911yescharacteristic
520C22×C3#415011yescharacteristic
521C22×C3C23×Dic511yescharacteristic
522C2×D3—22no—
523C2×D3—22no—
524C2×D3—22no—
525C2×D3—22no—
526C2×D3—22no—
527C2×D3—22no—
528C2×D3#407214yescomplemented
529C3×C4—22no—
530C3×C4—104no—
531C3×C4—202no—
532C3×C4D4×Dic514yes—
533Dic3—22no—
534Dic3—22no—
535Dic3—22no—
536Dic3—202no—
537Dic3—202no—
538C2×C5—42no—
539C2×C5—64no—
540C2×C5D3×#11711yescharacteristic
541C2×C5#552311yescharacteristic
542C2×C5#552911yescharacteristic
543C2×C5#553011yescharacteristic
544C2×C5C2×C4×#6711yescharacteristic
545C2×C5#582911yescharacteristic
546C2×C5#583111yescharacteristic
547C23—21no—
548C23—21no—
549C23—21no—
550C23—21no—
551C23—21no—
552C23—21no—
553C23—32no—
554C23—32no—
555C23—32no—
556C23—61no—
557C23—61no—
558C23—61no—
559C23—61no—
560C23C2×D3×Dic512yes—
561C23C22×D3×D511yescharacteristic
562D4—68no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—28no—
566C2×C4—32no—
567C2×C4—32no—
568C2×C4—32no—
569C2×C4—54no—
570C2×C4—61no—
571C2×C4—61no—
572C2×C4—61no—
573C2×C4—61no—
574C2×C4—61no—
575C2×C4—61no—
576C2×C4—68no—
577C2×C4—102no—
578C2×C4—102no—
579C2×C4—102no—
580C2×C4—102no—
581C2×C4—102no—
582C2×C4—302no—
583C2×C4—302no—
584C2×C4—302no—
585C2×C4—302no—
586C2×C4—302no—
587C2×C4—302no—
588C2×C4—608no—
589C2×C4C2×D3×Dic512yes—
590C2×C4C2×D3×Dic512yes—
591C2×C4#678212yes—
592C2×C4D5×#6712yes—
593C2×C3—42no—
594C2×C3#6587511yescharacteristic
595C2×C3#6588411yescharacteristic
596C2×C3#6588611yescharacteristic
597C2×C3#6589911yescharacteristic
598C2×C3C2×#407211yescharacteristic
599C2×C3C2×D4×Dic511yescharacteristic
600C2×C3#6616111yescharacteristic
601D3—24no—
602C5#8227211yescharacteristic, complemented, Sylow
603C22—22no—
604C22—22no—
605C22—22no—
606C22—34no—
607C22—41no—
608C22—41no—
609C22—41no—
610C22—41no—
611C22—62no—
612C22—62no—
613C22—62no—
614C22—62no—
615C22—62no—
616C22—62no—
617C22#9200111yescharacteristic
618C22D3×#70911yescharacteristic
619C22D3×#70911yescharacteristic
620C22#9201911yescharacteristic
621C22C22×D3×Dic511yescharacteristic
622C22C2×#678211yescharacteristic
623C22C2×D5×#6711yescharacteristic
624C4—22no—
625C4—62no—
626C4—62no—
627C4—62no—
628C4—104no—
629C4—202no—
630C4—602no—
631C4—602no—
632C4Dic5×#6714yes—
633C3#1061406611yescharacteristic, complemented, Sylow
634C2—42no—
635C2—64no—
636C2D3×#407211yescharacteristic
637C2#1175443211yescharacteristic
638C2#1175444311yescharacteristic
639C2#1175451311yescharacteristic
640C2#1175452811yescharacteristic
641C2#1175463811yescharacteristic
642C2C2×Dic5×#6711yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC23×C3×C4×C5C22
socle, cosocleC23×C3×C5C24
prime radicalC22×C5×#67C22
hypercenterC23×C4D3×D5
hypocenterC3×C5#2352
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
2. C2×C3×#4072C2semidirect
3. C2×D3×C4⋊Dic5C2semidirect
4. #11751313C2semidirect
6. #11749479C2semidirect
7. Dic5×(C2×D3)⋊C4C2semidirect
8. #11748786C2semidirect
9. Dic3×C4⋊Dic5C2semidirect
10. #11748619C2semidirect
11. #11748573C2semidirect
21. C4×C5×#67C4semidirect
41. C2×#4072D3semidirect
55. C22×C3×C4×C5C2×C4semidirect
77. C5×#217C2×C4semidirect
79. C5×Dic3⋊C4C2×C4semidirect
80. C4×C5×Dic3C2×C4semidirect
83. C3×C4⋊Dic5D4semidirect
183. C4×#67Dic5semidirect
211. C22×C4×C5C4×D3semidirect
232. C4⋊Dic5#67semidirect
266. C2×C5×D3#117semidirect
282. C22×C3×C4C2×Dic5semidirect
304. #217C2×Dic5semidirect
310. Dic3⋊C4C2×Dic5semidirect
312. C4×Dic3C2×Dic5semidirect
490. C22×C4D3×Dic5semidirect
507. C3×C5#2352semidirect
528. C2×D3#4072semidirect
602. C5#82272semidirect
633. C3#10614066semidirect

Maximal subgroups

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

subgroupindex
C2×C4×C5×#672
C2×C3×#40722
C2×D3×C4⋊Dic52
#117513132
#117495192
#117494792
Dic5×(C2×D3)⋊C42
#117487862
Dic3×C4⋊Dic52
#117486192
#117485732
#106140663
#822725