Finite Group Databasebeta

← #14329136

Subgroups — #14329136

Order 1920.

1376 conjugacy classes of subgroups.

The subgroup lattice has 648 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C5×#895C211yesmaximal, characteristic
2C2×#91435C211yesmaximal, characteristic, complemented
3C2×#91338C211yesmaximal, characteristic, complemented
4#11751085C211yesmaximal, characteristic, complemented
5C3×C4⋊C4×Dic5C211yesmaximal, characteristic, complemented
6#11748901C212yesmaximal, complemented
7Dic5×(C2×D3)⋊C4C212yesmaximal, complemented
8#11748764C211yesmaximal, characteristic, complemented
9#11748764C212yesmaximal, complemented
10C4×(C2×D3)⋊Dic5C211yesmaximal, characteristic, complemented
11#11748686C212yesmaximal, complemented
12#10614368—31nomaximal, Hall
13C22×C5×D12C2211yescharacteristic
14C22×C5×D12C2212yes—
15C22×C4×C5×D3C2211yescharacteristic
16C22×D3×Dic5C2212yes—
17C2×C3×C5×C4⋊C4C2211yescharacteristic
18C2×C4⋊Dic15C2211yescharacteristic
19C2×C4⋊Dic15C2212yes—
20C2×C4×Dic15C2211yescharacteristic
21C2×C5×(C2×D3)⋊C4C2212yes—
22C5×#895C418yescomplemented
23C2×C3×C4⋊Dic5C2211yescharacteristic
24C2×C3×C4×Dic5C2211yescharacteristic
25C2×C3×C4×Dic5C2212yes—
26C2×(C2×D3)⋊Dic5C2212yes—
27C2×(C2×D3)⋊Dic5C2211yescharacteristic
28C2×(C2×D3)⋊Dic5C2212yes—
29C2×(C2×D3)⋊Dic5C2212yes—
30C2×(C2×D3)⋊Dic5C2211yescharacteristic
31C2×(C2×D3)⋊Dic5C2212yes—
32C2×Dic3×Dic5C2212yes—
33#91435—24no—
34#91338—24no—
35#91115C2212yes—
36C3×#3963C2212yes—
37#90994C2211yescharacteristic
38#90994C2211yescharacteristic
39#73649—51nomaximal, Hall
40C2×C5×#121—31no—
41C2×D4×Dic5—31no—
42C2×#4072—31no—
43#65510—32no—
44#65510—31no—
45#65509—32no—
46C4×C22⋊Dic5—31no—
47#65274—31no—
48C4⋊C4×Dic5D311yescharacteristic, complemented
49#65240—32no—
50C22⋊C4×Dic5—32no—
51C23×C5×D3C2312yes—
52C23×C5×D3C2311yescharacteristic
53C22×C3×C4×C5C2312yes—
54C22×C3×C4×C5C2311yescharacteristic
55C22×Dic15C2311yescharacteristic
56C22×Dic15C2312yes—
57C22×Dic15C2311yescharacteristic
58C22×C5×Dic3C2311yescharacteristic
59C2×C5×D12—22no—
60C2×C5×D12—22no—
61C2×C5×D12—42no—
62C2×C5×D12—42no—
63C2×C5×D12C2×C414yes—
64C2×C5×D12C2×C418yescomplemented
65C2×C4×C5×D3—22no—
66C2×C4×C5×D3—22no—
67C2×C4×C5×D3C2×C414yescomplemented
68C22×C3×Dic5C2311yescharacteristic
69C22×C3×Dic5C2312yes—
70C22×C3×Dic5C2311yescharacteristic
71C2×D3×Dic5—24no—
72C2×D3×Dic5—24no—
73C2×D3×Dic5—42no—
74C3×C5×C4⋊C4C2×C414yescomplemented
75C4⋊Dic15—22no—
76C4⋊Dic15—42no—
77C4×Dic15—22no—
78C5×(C2×D3)⋊C4C2×C418yescomplemented
79C3×C4⋊Dic5D414yescomplemented
80C3×C4×Dic5—22no—
81C3×C4×Dic5—42no—
82(C2×D3)⋊Dic5—22no—
83(C2×D3)⋊Dic5—24no—
84(C2×D3)⋊Dic5—24no—
85(C2×D3)⋊Dic5—24no—
86(C2×D3)⋊Dic5—22no—
87(C2×D3)⋊Dic5—42no—
88Dic3×Dic5—24no—
89C2×#895D511yescharacteristic
90C2×#893—51no—
91C2×#892—51no—
92C3×C4×C4⋊C4—51no—
93#4984—51no—
94#4939—51no—
95#4939—52no—
96C4×(C2×D3)⋊C4—51no—
97C4×(C2×D3)⋊C4—52no—
98#4670—52no—
99#4665—52no—
100C22×C5×D4—31no—
101C22×C5×D4—32no—
102C23×C4×C5—31no—
103C23×Dic5—32no—
104C5×#121—38no—
105C2×C5×C4⋊C4C2×D311yescharacteristic
106C2×C5×C22⋊C4—32no—
107C2×C22⋊Dic5—32no—
108C2×C22⋊Dic5—32no—
109C2×C22⋊Dic5—32no—
110C2×C22⋊Dic5—31no—
111C2×C22⋊Dic5—31no—
112C2×C22⋊Dic5—32no—
113D4×Dic5—64no—
114#4072—64no—
115C2×C4⋊Dic5—31no—
116C2×C4⋊Dic5—32no—
117C2×C4⋊Dic5C2×D311yescharacteristic
118C2×C4×Dic5—31no—
119C2×C4×Dic5—32no—
120C2×C4×Dic5C2×D311yescharacteristic
121C2×C4×Dic5C2×D312yes—
122#3963—32no—
123#3963—31no—
124#3963—31no—
125#3963C2×D312yes—
126#2363—151noSylow
127C23×C3×C5C2411yescharacteristic
128C22×C5×D3—21no—
129C22×C5×D3—22no—
130C22×C5×D3—21no—
131C22×C5×D3—22no—
132C22×C5×D3—21no—
133C22×C5×D3—22no—
134C22×C5×D3—21no—
135C22×C5×D3—22no—
136C22×C5×D3—22no—
137C22×C5×D3—22no—
138C22×C5×D3—21no—
139C22×C5×D3—21no—
140C22×C5×D3C22×C414yes—
141C22×C5×D3C22×C412yes—
142C2×C3×C4×C5—22no—
143C2×C3×C4×C5—22no—
144C2×C3×C4×C5C22×C414yes—
145C2×C3×C4×C5C22×C412yes—
146C2×C3×C4×C5C2×D412yes—
147C2×C3×C4×C5#4112yes—
148C2×Dic15—21no—
149C2×Dic15—21no—
150C2×Dic15—22no—
151C2×Dic15—21no—
152C2×Dic15—21no—
153C2×Dic15—22no—
154C2×Dic15—22no—
155C2×Dic15—21no—
156C2×Dic15#4112yes—
157C2×C5×Dic3—21no—
158C2×C5×Dic3—21no—
159C2×C5×Dic3C22×C412yes—
160C5×D12—28no—
161C5×D12—48no—
162C4×C5×D3—28no—
163C2×C3×Dic5—21no—
164C2×C3×Dic5—22no—
165C2×C3×Dic5—21no—
166C2×C3×Dic5—22no—
167C2×C3×Dic5—21no—
168C2×C3×Dic5—21no—
169C2×C3×Dic5—21no—
170C2×C3×Dic5C2×D414yes—
171C2×C3×Dic5#4112yes—
172D3×Dic5—48no—
173C22×D12C2×D511yescharacteristic
174C22×D12C2×D512yes—
175C22×C4×D3—52no—
176C22×C4×D3C2×D511yescharacteristic
177C2×C3×C4⋊C4—51no—
178C2×C3×C4⋊C4C2×D511yescharacteristic
179C2×C3×C42—51no—
180C2×C3×C42—52no—
181C2×(C2×D3)⋊C4—51no—
182C2×(C2×D3)⋊C4—52no—
183C2×(C2×D3)⋊C4—52no—
184C2×(C2×D3)⋊C4—51no—
185C2×(C2×D3)⋊C4—52no—
186C2×(C2×D3)⋊C4—52no—
187C2×(C2×D3)⋊C4C2×D512yes—
188C2×C4⋊Dic3—51no—
189C2×C4⋊Dic3—52no—
190C2×C4×Dic3—51no—
191C2×C4×Dic3—52no—
192#895Dic518yescomplemented
193#893—104no—
194#892—104no—
195C3×#95—52no—
196C3⋊#95—52no—
197C3⋊#95—51no—
198C3⋊#95—51no—
199C24×C5—31no—
200C24×C5—32no—
201C2×C5×D4—34no—
202C2×C5×D4—38no—
203C2×C5×D4—62no—
204C2×C5×D4—62no—
205C2×C5×D4—122no—
206C2×C5×D4—122no—
207C22×C4×C5—31no—
208C22×C4×C5—34no—
209C22×C4×C5—62no—
210C22×C4×C5—62no—
211C22×C4×C5C22×D312yes—
212C22×C4×C5C22×D311yescharacteristic
213C22×Dic5—31no—
214C22×Dic5—32no—
215C22×Dic5—31no—
216C22×Dic5—64no—
217C22×Dic5—64no—
218C22×Dic5—122no—
219C22×Dic5C22×D311yescharacteristic
220C22×Dic5C22×D312yes—
221C22×Dic5C22×D311yescharacteristic
222C5×C4⋊C4C4×D314yescomplemented
223C5×C22⋊C4—38no—
224C22⋊Dic5—62no—
225C22⋊Dic5—64no—
226C22⋊Dic5—64no—
227C22⋊Dic5—64no—
228C22⋊Dic5—62no—
229C22⋊Dic5—122no—
230C4⋊Dic5—62no—
231C4⋊Dic5—122no—
232C4⋊Dic5D1214yescomplemented
233C4×Dic5—22no—
234C4×Dic5—42no—
235C4×Dic5—62no—
236C4×Dic5—64no—
237C2×#121—31no—
238C2×C4×D4—151no—
239C2×#117—151no—
240#390—151no—
241#390—152no—
242#389—151no—
243#388—152no—
244#386—152no—
245C4×C4⋊C4—51no—
246C4×C22⋊C4—152no—
247C4×C22⋊C4—151no—
248C22×C3×C5C23×C411yescharacteristic
249C22×C3×C5C22×D411yescharacteristic
250C22×C3×C5C2×#4111yescharacteristic
251C22×C3×C5C2×#4111yescharacteristic
252C22×C3×C5C2×#4111yescharacteristic
253C22×C3×C5H(5,𝔽2)11yescharacteristic
254C22×C3×C5H(5,𝔽2)11yescharacteristic
255C2×C5×D3—22no—
256C2×C5×D3—24no—
257C2×C5×D3—22no—
258C2×C5×D3—24no—
259C2×C5×D3—22no—
260C2×C5×D3—24no—
261C2×C5×D3—42no—
262C2×C5×D3—41no—
263C2×C5×D3—41no—
264C2×C5×D3—42no—
265C2×C5×D3—41no—
266C2×C5×D3—42no—
267C2×C5×D3—41no—
268C2×C5×D3—42no—
269C3×C4×C5—24no—
270C3×C4×C5C4×D414yes—
271Dic15—22no—
272Dic15—42no—
273Dic15—41no—
274C3×Dic5—24no—
275C3×Dic5—22no—
276C3×Dic5—41no—
277C5×Dic3—22no—
278C23×D3C22×D511yescharacteristic
279C23×D3C22×D512yes—
280C22×C3×C4—51no—
281C22×C3×C4—52no—
282C22×C3×C4—51no—
283C22×C3×C4C22×D512yes—
284C22×C3×C4C22×D511yescharacteristic
285C22×Dic3—51no—
286C22×Dic3—52no—
287C22×Dic3—51no—
288C22×Dic3C22×D511yescharacteristic
289C2×D12—22no—
290C2×D12—22no—
291C2×D12—42no—
292C2×D12—42no—
293C2×D12C2×Dic514yes—
294C2×D12C2×Dic518yescomplemented
295C2×C4×D3—22no—
296C2×C4×D3—22no—
297C2×C4×D3—104no—
298C2×C4×D3—104no—
299C2×C4×D3—202no—
300C2×C4×D3C2×Dic514yescomplemented
301C3×C4⋊C4—54no—
302C3×C4⋊C4C2×Dic514yescomplemented
303C3×C42—102no—
304C3×C42—202no—
305(C2×D3)⋊C4—102no—
306(C2×D3)⋊C4—104no—
307(C2×D3)⋊C4—104no—
308(C2×D3)⋊C4—102no—
309(C2×D3)⋊C4—104no—
310(C2×D3)⋊C4—202no—
311(C2×D3)⋊C4C2×Dic518yescomplemented
312C4⋊Dic3—102no—
313C4⋊Dic3—202no—
314C4×Dic3—104no—
315C4×Dic3—102no—
316C23×C5—34no—
317C23×C5—32no—
318C23×C5—61no—
319C23×C5—62no—
320C23×C5—61no—
321C23×C5—62no—
322C23×C5—62no—
323C23×C5—61no—
324C23×C5—61no—
325C23×C5—62no—
326C23×C5—61no—
327C23×C5—62no—
328C23×C5—62no—
329C23×C5—61no—
330C23×C5C23×D311yescharacteristic
331C5×D4—68no—
332C5×D4—128no—
333C2×C4×C5—22no—
334C2×C4×C5—22no—
335C2×C4×C5—32no—
336C2×C4×C5—61no—
337C2×C4×C5—61no—
338C2×C4×C5—68no—
339C2×C4×C5C2×C4×D314yes—
340C2×C4×C5C2×C4×D312yes—
341C2×C4×C5C2×D1212yes—
342C2×C4×C5#23512yes—
343C2×Dic5—21no—
344C2×Dic5—21no—
345C2×Dic5—22no—
346C2×Dic5—22no—
347C2×Dic5—21no—
348C2×Dic5—21no—
349C2×Dic5—21no—
350C2×Dic5—32no—
351C2×Dic5—61no—
352C2×Dic5—61no—
353C2×Dic5—62no—
354C2×Dic5—61no—
355C2×Dic5—62no—
356C2×Dic5—61no—
357C2×Dic5—61no—
358C2×Dic5—62no—
359C2×Dic5—128no—
360C2×Dic5C2×D1214yes—
361C2×Dic5#23912yes—
362C22×D4—31no—
363C22×D4—32no—
364C23×C4—31no—
365C23×C4—152no—
366#121—38no—
367C4×D4—304no—
368#117—304no—
369C2×C4⋊C4—51no—
370C2×C4⋊C4—151no—
371C2×C4⋊C4—152no—
372C2×C4⋊C4D3×D511yescharacteristic
373C2×C22⋊C4—32no—
374C2×C22⋊C4—152no—
375C2×C22⋊C4—152no—
376C2×C22⋊C4—151no—
377C2×C22⋊C4—152no—
378C2×C22⋊C4—151no—
379C2×C22⋊C4—152no—
380C2×C42—51no—
381C2×C42—52no—
382C2×C42—152no—
383C2×C42—151no—
384#95—52no—
385#95—151no—
386#95—151no—
387#95—152no—
388C2×C3×C5C2×C4×D411yescharacteristic
389C2×C3×C5C4×#4111yescharacteristic
390C2×C3×C5#51811yescharacteristic
391C2×C3×C5#54611yescharacteristic
392C2×C3×C5#55011yescharacteristic
393C2×C3×C5#55311yescharacteristic
394C2×C3×C5#55511yescharacteristic
395C5×D3—42no—
396C5×D3—44no—
397C23×C3C23×D511yescharacteristic
398C22×D3—21no—
399C22×D3—22no—
400C22×D3—21no—
401C22×D3—22no—
402C22×D3—22no—
403C22×D3—22no—
404C22×D3—21no—
405C22×D3—21no—
406C22×D3—21no—
407C22×D3—22no—
408C22×D3—21no—
409C22×D3—22no—
410C22×D3C22×Dic514yes—
411C22×D3C22×Dic512yes—
412C2×C3×C4—22no—
413C2×C3×C4—22no—
414C2×C3×C4—54no—
415C2×C3×C4—52no—
416C2×C3×C4—101no—
417C2×C3×C4—101no—
418C2×C3×C4—102no—
419C2×C3×C4—102no—
420C2×C3×C4—101no—
421C2×C3×C4—101no—
422C2×C3×C4—101no—
423C2×C3×C4D4×D512yes—
424C2×C3×C4#71112yes—
425C2×C3×C4C22×Dic514yes—
426C2×C3×C4C22×Dic512yes—
427C2×Dic3—21no—
428C2×Dic3—21no—
429C2×Dic3—52no—
430C2×Dic3—101no—
431C2×Dic3—101no—
432C2×Dic3—102no—
433C2×Dic3—101no—
434C2×Dic3—101no—
435C2×Dic3—102no—
436C2×Dic3—102no—
437C2×Dic3—101no—
438C2×Dic3C22×Dic512yes—
439D12—28no—
440D12—48no—
441C4×D3—28no—
442C4×D3—208no—
443C22×C5—62no—
444C22×C5—64no—
445C22×C5—62no—
446C22×C5—64no—
447C22×C5—64no—
448C22×C5—62no—
449C22×C5—121no—
450C22×C5—122no—
451C22×C5—121no—
452C22×C5—122no—
453C22×C5—122no—
454C22×C5—121no—
455C22×C5—121no—
456C22×C5—122no—
457C22×C5C22×C4×D311yescharacteristic
458C22×C5C22×D1211yescharacteristic
459C22×C5C2×#23511yescharacteristic
460C22×C5#100411yescharacteristic
461C22×C5C2×#23911yescharacteristic
462C22×C5D3×#4111yescharacteristic
463C22×C5#100911yescharacteristic
464C4×C5—24no—
465C4×C5—62no—
466C4×C5C4×D1214yes—
467Dic5—22no—
468Dic5—24no—
469Dic5—41no—
470Dic5—62no—
471Dic5—122no—
472Dic5—121no—
473C24—32no—
474C24—31no—
475C2×D4—34no—
476C2×D4—38no—
477C2×D4—62no—
478C2×D4—62no—
479C2×D4—122no—
480C2×D4—122no—
481C22×C4—31no—
482C22×C4—34no—
483C22×C4—52no—
484C22×C4—51no—
485C22×C4—51no—
486C22×C4—62no—
487C22×C4—62no—
488C22×C4—151no—
489C22×C4—151no—
490C22×C4—152no—
491C22×C4—304no—
492C22×C4—304no—
493C22×C4—602no—
494C22×C4C2×D3×D512yes—
495C22×C4C2×D3×D511yescharacteristic
496C4⋊C4—54no—
497C4⋊C4—302no—
498C4⋊C4—602no—
499C4⋊C4D3×Dic514yescomplemented
500C22⋊C4—38no—
501C22⋊C4—304no—
502C22⋊C4—304no—
503C22⋊C4—304no—
504C22⋊C4—302no—
505C22⋊C4—302no—
506C22⋊C4—602no—
507C42—102no—
508C42—202no—
509C42—304no—
510C42—302no—
511C3×C5#236311yescharacteristic, complemented, Hall
512C22×C3C2×D4×D511yescharacteristic
513C22×C3C2×#71111yescharacteristic
514C22×C3#414411yescharacteristic
515C22×C3#414411yescharacteristic
516C22×C3D5×#4111yescharacteristic
517C22×C3D5×#4111yescharacteristic
518C22×C3C23×Dic511yescharacteristic
519C2×D3—22no—
520C2×D3—24no—
521C2×D3—22no—
522C2×D3—24no—
523C2×D3—22no—
524C2×D3—24no—
525C2×D3—41no—
526C2×D3—42no—
527C2×D3—42no—
528C2×D3—41no—
529C2×D3—41no—
530C2×D3—42no—
531C2×D3—41no—
532C2×D3—42no—
533C3×C4—24no—
534C3×C4—104no—
535C3×C4—102no—
536C3×C4—201no—
537C3×C4D4×Dic514yes—
538Dic3—22no—
539Dic3—102no—
540Dic3—202no—
541Dic3—201no—
542C2×C5—122no—
543C2×C5—124no—
544C2×C5C2×C4×D1211yescharacteristic
545C2×C5#551411yescharacteristic
546C2×C5#553211yescharacteristic
547C2×C5#554511yescharacteristic
548C2×C5#555411yescharacteristic
549C2×C5C4×#23911yescharacteristic
550C2×C5#557711yescharacteristic
551C23—34no—
552C23—32no—
553C23—61no—
554C23—62no—
555C23—61no—
556C23—62no—
557C23—62no—
558C23—61no—
559C23—62no—
560C23—61no—
561C23—62no—
562C23—61no—
563C23—61no—
564C23—62no—
565C23C22×D3×D511yescharacteristic
566D4—68no—
567D4—128no—
568C2×C4—22no—
569C2×C4—22no—
570C2×C4—32no—
571C2×C4—54no—
572C2×C4—52no—
573C2×C4—61no—
574C2×C4—61no—
575C2×C4—68no—
576C2×C4—101no—
577C2×C4—101no—
578C2×C4—102no—
579C2×C4—102no—
580C2×C4—101no—
581C2×C4—101no—
582C2×C4—101no—
583C2×C4—152no—
584C2×C4—301no—
585C2×C4—301no—
586C2×C4—301no—
587C2×C4—302no—
588C2×C4—302no—
589C2×C4—301no—
590C2×C4—301no—
591C2×C4—302no—
592C2×C4—608no—
593C2×C4#677212yes—
594C2×C4D5×D1212yes—
595C2×C4C2×D3×Dic514yes—
596C2×C4C2×D3×Dic512yes—
597C2×C3#6593311yescharacteristic
598C2×C3#6594611yescharacteristic
599C2×C3#6594811yescharacteristic
600C2×C3#6595011yescharacteristic
601C2×C3C2×D4×Dic511yescharacteristic
602C2×C3#6613211yescharacteristic
603C2×C3#41×Dic511yescharacteristic
604D3—42no—
605D3—44no—
606C5#7364911yescharacteristic, complemented, Sylow
607C22—62no—
608C22—64no—
609C22—62no—
610C22—64no—
611C22—64no—
612C22—62no—
613C22—121no—
614C22—122no—
615C22—121no—
616C22—122no—
617C22—122no—
618C22—121no—
619C22—121no—
620C22—122no—
621C22C2×#677211yescharacteristic
622C22C2×D5×D1211yescharacteristic
623C22#9202511yescharacteristic
624C22#9202711yescharacteristic
625C22D5×#23911yescharacteristic
626C22#9203411yescharacteristic
627C22C22×D3×Dic511yescharacteristic
628C4—24no—
629C4—62no—
630C4—102no—
631C4—104no—
632C4—201no—
633C4—302no—
634C4—601no—
635C4—602no—
636C4Dic5×D1214yes—
637C3#1061436811yescharacteristic, complemented, Sylow
638C2—122no—
639C2—124no—
640C2#1175369211yescharacteristic
641C2#1175374111yescharacteristic
642C2#1175380411yescharacteristic
643C2#1175387711yescharacteristic
644C2C2×Dic5×D1211yescharacteristic
645C2#1175491411yescharacteristic
646C2Dic5×#23911yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC2×C3×C5×C4⋊C4C22
socle, cosocleC23×C3×C5C24
prime radicalC2×C5×#895C2
hypercenterC2×C4⋊C4D3×D5
hypocenterC3×C5#2363
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×#91435C2semidirect
3. C2×#91338C2semidirect
4. #11751085C2semidirect
5. C3×C4⋊C4×Dic5C2semidirect
6. #11748901C2semidirect
7. Dic5×(C2×D3)⋊C4C2semidirect
8. #11748764C2semidirect
9. #11748764C2semidirect
10. C4×(C2×D3)⋊Dic5C2semidirect
11. #11748686C2semidirect
22. C5×#895C4semidirect
48. C4⋊C4×Dic5D3semidirect
64. C2×C5×D12C2×C4semidirect
67. C2×C4×C5×D3C2×C4semidirect
74. C3×C5×C4⋊C4C2×C4semidirect
78. C5×(C2×D3)⋊C4C2×C4semidirect
79. C3×C4⋊Dic5D4semidirect
192. #895Dic5semidirect
222. C5×C4⋊C4C4×D3semidirect
232. C4⋊Dic5D12semidirect
294. C2×D12C2×Dic5semidirect
300. C2×C4×D3C2×Dic5semidirect
302. C3×C4⋊C4C2×Dic5semidirect
311. (C2×D3)⋊C4C2×Dic5semidirect
499. C4⋊C4D3×Dic5semidirect
511. C3×C5#2363semidirect
606. C5#73649semidirect
637. C3#10614368semidirect

Maximal subgroups

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

subgroupindex
C2×C5×#8952
C2×#914352
C2×#913382
#117510852
C3×C4⋊C4×Dic52
#117489012
Dic5×(C2×D3)⋊C42
#117487642
C4×(C2×D3)⋊Dic52
#117486862
#106143683
#736495