Finite Group Databasebeta

← #14327391

Subgroups — #14327391

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×D12C211yesmaximal, characteristic
2C2×D3×C4⋊Dic5C211yesmaximal, characteristic, complemented
3C2×#91338C211yesmaximal, characteristic, complemented
4C4×C4⋊Dic15C211yesmaximal, characteristic, complemented
5C3×#65225C211yesmaximal, characteristic, complemented
6#11748901C212yesmaximal
7#11748886C212yesmaximal, complemented
8#11748794C212yesmaximal, complemented
9#11748786C211yesmaximal, characteristic, complemented
10#11748786C211yesmaximal, characteristic, complemented
11#11748683C212yesmaximal, complemented
12#10614066—31nomaximal, Hall
13C22×C5×D12C2211yescharacteristic
14C22×C4×C5×D3C2211yescharacteristic
15C22×C4×C5×D3C2211yescharacteristic
16C22×D3×Dic5C2212yes—
17C2×C3×C42×C5C2211yescharacteristic
18C2×C4⋊Dic15C2211yescharacteristic
19C2×C4⋊Dic15C2211yescharacteristic
20C2×C4×Dic15C2212yes—
21C2×C5×(C2×D3)⋊C4C2211yescharacteristic
22C2×C5×(C2×D3)⋊C4C2211yescharacteristic
23C2×C5×C4⋊Dic3C2211yescharacteristic
24C4×C5×D12C418yescomplemented
25C2×C3×C4⋊Dic5C2211yescharacteristic
26C2×C3×C4⋊Dic5C2211yescharacteristic
27C2×Dic3⋊Dic5C2212yes—
28C2×(C2×D3)⋊Dic5C2212yes—
29C2×(C2×D3)⋊Dic5C2212yes—
30C2×(C2×D3)⋊Dic5C2212yes—
31C2×Dic3×Dic5C2212yes—
32D3×C4⋊Dic5—24no—
33#91338—24no—
34#91115C2212yes—
35C3×#3963C2212yes—
36C3×#3963C2212yes—
37#90994C2212yes—
38#90994C2212yes—
39#74229—51nomaximal, Hall
40C2×C4×C5×D4—31no—
41C2×#4072—31no—
42C22×C4⋊Dic5—31no—
43#65509—32no—
44#65501—31no—
45#65501—31no—
46#65270—32no—
47#65240—32no—
48C22⋊C4×Dic5—32no—
49#65225D311yescharacteristic, complemented
50C4×C4⋊Dic5—31no—
51C23×C5×D3C2311yescharacteristic
52C23×C5×D3C2311yescharacteristic
53C22×C3×C4×C5C2311yescharacteristic
54C22×C3×C4×C5C2311yescharacteristic
55C22×C3×C4×C5C2311yescharacteristic
56C22×Dic15C2312yes—
57C22×Dic15C2312yes—
58C22×C5×Dic3C2311yescharacteristic
59C22×C5×Dic3C2311yescharacteristic
60C2×C5×D12—22no—
61C2×C5×D12—22no—
62C2×C5×D12C2×C414yes—
63C2×C4×C5×D3—22no—
64C2×C4×C5×D3—22no—
65C2×C4×C5×D3—22no—
66C2×C4×C5×D3—22no—
67C2×C4×C5×D3C2×C414yes—
68C2×C4×C5×D3C2×C414yescomplemented
69C22×C3×Dic5C2312yes—
70C22×C3×Dic5C2312yes—
71C2×D3×Dic5—24no—
72C2×D3×Dic5—24no—
73C2×D3×Dic5—42no—
74C3×C42×C5C2×C414yescomplemented
75C4⋊Dic15—22no—
76C4⋊Dic15D414yescomplemented
77C4×Dic15—42no—
78C5×(C2×D3)⋊C4C2×C414yes—
79C5×(C2×D3)⋊C4C2×C414yescomplemented
80C5×C4⋊Dic3C2×C414yescomplemented
81C3×C4⋊Dic5—22no—
82C3×C4⋊Dic5—22no—
83Dic3⋊Dic5—24no—
84(C2×D3)⋊Dic5—24no—
85(C2×D3)⋊Dic5—24no—
86(C2×D3)⋊Dic5—42no—
87Dic3×Dic5—24no—
88C2×#892—51no—
89C2×D3×C4⋊C4—51no—
90C2×C4×D12D511yescharacteristic
91C3×#382—51no—
92#4987—51no—
93#4987—51no—
94C4×C4⋊Dic3—51no—
95#4669—52no—
96#4666—52no—
97#4665—52no—
98#4654—52no—
99C22×C5×D4—31no—
100C23×C4×C5—31no—
101C23×C4×C5—31no—
102C23×Dic5—32no—
103C4×C5×D4—38no—
104C2×C5×C4⋊C4—31no—
105C2×C5×C22⋊C4—31no—
106C2×C5×C22⋊C4—31no—
107C2×C42×C5C2×D311yescharacteristic
108C2×C22⋊Dic5—32no—
109C2×C22⋊Dic5—32no—
110C2×C22⋊Dic5—32no—
111#4072—64no—
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×Dic5—32no—
120#3963—32no—
121#3963—32no—
122#3963—32no—
123#3963C2×D312yes—
124#3963C2×D312yes—
125#2352—151noSylow
126C23×C3×C5C2411yescharacteristic
127C22×C5×D3—21no—
128C22×C5×D3—21no—
129C22×C5×D3—21no—
130C22×C5×D3—21no—
131C22×C5×D3—21no—
132C22×C5×D3—21no—
133C22×C5×D3—21no—
134C22×C5×D3—21no—
135C22×C5×D3—21no—
136C22×C5×D3—21no—
137C22×C5×D3C22×C412yes—
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—21no—
144C2×C3×C4×C5—21no—
145C2×C3×C4×C5C22×C412yes—
146C2×C3×C4×C5C22×C412yes—
147C2×C3×C4×C5C22×C412yes—
148C2×C3×C4×C5C2×D412yes—
149C2×C3×C4×C5#4112yes—
150C2×Dic15—22no—
151C2×Dic15—22no—
152C2×Dic15—22no—
153C2×Dic15—22no—
154C2×Dic15—22no—
155C2×Dic15C2×D414yes—
156C2×C5×Dic3—21no—
157C2×C5×Dic3—21no—
158C2×C5×Dic3—21no—
159C2×C5×Dic3—21no—
160C2×C5×Dic3C22×C412yes—
161C2×C5×Dic3C22×C412yes—
162C5×D12—28no—
163C4×C5×D3—28no—
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×Dic5—22no—
171D3×Dic5—48no—
172C22×D12C2×D511yescharacteristic
173C22×C4×D3—52no—
174C22×C4×D3C2×D511yescharacteristic
175C22×C4×D3C2×D511yescharacteristic
176C2×C3×C4⋊C4—51no—
177C2×C3×C4⋊C4—51no—
178C2×C3×C42C2×D511yescharacteristic
179C2×(C2×D3)⋊C4—52no—
180C2×(C2×D3)⋊C4—52no—
181C2×(C2×D3)⋊C4—52no—
182C2×(C2×D3)⋊C4C2×D511yescharacteristic
183C2×(C2×D3)⋊C4C2×D511yescharacteristic
184C2×C4⋊Dic3—51no—
185C2×C4⋊Dic3—51no—
186C2×C4⋊Dic3C2×D511yescharacteristic
187C2×Dic3⋊C4—52no—
188C2×C4×Dic3—52no—
189C2×C4×Dic3—52no—
190#892—104no—
191D3×C4⋊C4—104no—
192C4×D12Dic518yescomplemented
193C3×#95—52no—
194C3×#95—52no—
195C3⋊#95—52no—
196C3⋊#95—52no—
197C3⋊#95—52no—
198C24×C5—31no—
199C24×C5—31no—
200C2×C5×D4—34no—
201C2×C5×D4—62no—
202C2×C5×D4—62no—
203C22×C4×C5—31no—
204C22×C4×C5—31no—
205C22×C4×C5—34no—
206C22×C4×C5—34no—
207C22×C4×C5—62no—
208C22×C4×C5—62no—
209C22×C4×C5—62no—
210C22×C4×C5—62no—
211C22×C4×C5C22×D311yescharacteristic
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×C5C4×D314yescomplemented
225C22⋊Dic5—64no—
226C22⋊Dic5—64no—
227C22⋊Dic5—122no—
228C4⋊Dic5—22no—
229C4⋊Dic5—22no—
230C4⋊Dic5—34no—
231C4⋊Dic5—64no—
232C4⋊Dic5—62no—
233C4×Dic5—64no—
234C4×Dic5—122no—
235C2×C4×D4—31no—
236C2×#117—151no—
237C22×C4⋊C4—151no—
238#388—152no—
239#387—152no—
240#386—152no—
241#382—51no—
242#380—151no—
243#380—151no—
244C4×C4⋊C4—151no—
245C4×C22⋊C4—152no—
246C22×C3×C5C23×C411yescharacteristic
247C22×C3×C5C22×D411yescharacteristic
248C22×C3×C5C2×#4111yescharacteristic
249C22×C3×C5C2×#4111yescharacteristic
250C22×C3×C5C2×#4111yescharacteristic
251C22×C3×C5H(5,𝔽2)11yescharacteristic
252C22×C3×C52−1+411yescharacteristic
253C2×C5×D3—22no—
254C2×C5×D3—22no—
255C2×C5×D3—22no—
256C2×C5×D3—22no—
257C2×C5×D3—22no—
258C2×C5×D3—22no—
259C2×C5×D3—22no—
260C2×C5×D3—22no—
261C2×C5×D3—22no—
262C2×C5×D3—41no—
263C2×C5×D3—41no—
264C2×C5×D3—41no—
265C2×C5×D3—41no—
266C2×C5×D3#11714yescomplemented
267C3×C4×C5—22no—
268C3×C4×C5—22no—
269C3×C4×C5C4×D414yes—
270Dic15—24no—
271Dic15—42no—
272C3×Dic5—42no—
273C3×Dic5—42no—
274C5×Dic3—22no—
275C5×Dic3—22no—
276C23×D3C22×D511yescharacteristic
277C23×D3C22×D511yescharacteristic
278C22×C3×C4—52no—
279C22×C3×C4—52no—
280C22×C3×C4C22×D511yescharacteristic
281C22×C3×C4C22×D511yescharacteristic
282C22×C3×C4C22×D511yescharacteristic
283C22×Dic3—52no—
284C22×Dic3—52no—
285C22×Dic3C22×D511yescharacteristic
286C22×Dic3C22×D511yescharacteristic
287C2×D12—22no—
288C2×D12—22no—
289C2×D12C2×Dic514yes—
290C2×C4×D3—22no—
291C2×C4×D3—22no—
292C2×C4×D3—22no—
293C2×C4×D3—22no—
294C2×C4×D3—104no—
295C2×C4×D3—104no—
296C2×C4×D3—202no—
297C2×C4×D3C2×Dic514yes—
298C2×C4×D3C2×Dic514yescomplemented
299C3×C4⋊C4—102no—
300C3×C4⋊C4—102no—
301C3×C42C2×Dic514yescomplemented
302(C2×D3)⋊C4—104no—
303(C2×D3)⋊C4—104no—
304(C2×D3)⋊C4—202no—
305(C2×D3)⋊C4C2×Dic514yes—
306(C2×D3)⋊C4C2×Dic514yescomplemented
307C4⋊Dic3—54no—
308C4⋊Dic3—102no—
309C4⋊Dic3C2×Dic514yescomplemented
310Dic3⋊C4—104no—
311C4×Dic3—104no—
312C4×Dic3—202no—
313C23×C5—32no—
314C23×C5—32no—
315C23×C5—32no—
316C23×C5—32no—
317C23×C5—61no—
318C23×C5—61no—
319C23×C5—61no—
320C23×C5—61no—
321C23×C5—61no—
322C23×C5—61no—
323C23×C5—61no—
324C23×C5—61no—
325C23×C5—61no—
326C23×C5—61no—
327C23×C5C23×D311yescharacteristic
328C5×D4—68no—
329C2×C4×C5—21no—
330C2×C4×C5—21no—
331C2×C4×C5—21no—
332C2×C4×C5—21no—
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—68no—
340C2×C4×C5—68no—
341C2×C4×C5C2×C4×D312yes—
342C2×C4×C5C2×C4×D312yes—
343C2×C4×C5C2×C4×D312yes—
344C2×C4×C5D3×D412yes—
345C2×C4×C5#23912yes—
346C2×Dic5—22no—
347C2×Dic5—22no—
348C2×Dic5—22no—
349C2×Dic5—22no—
350C2×Dic5—22no—
351C2×Dic5—22no—
352C2×Dic5—34no—
353C2×Dic5—62no—
354C2×Dic5—62no—
355C2×Dic5—62no—
356C2×Dic5—62no—
357C2×Dic5—62no—
358C2×Dic5—128no—
359C22×D4—31no—
360C23×C4—31no—
361C23×C4—31no—
362C23×C4—152no—
363C4×D4—38no—
364#117—304no—
365C2×C4⋊C4—31no—
366C2×C4⋊C4—51no—
367C2×C4⋊C4—51no—
368C2×C4⋊C4—151no—
369C2×C4⋊C4—152no—
370C2×C4⋊C4—151no—
371C2×C4⋊C4—304no—
372C2×C22⋊C4—31no—
373C2×C22⋊C4—31no—
374C2×C22⋊C4—152no—
375C2×C22⋊C4—152no—
376C2×C22⋊C4—152no—
377C2×C42—152no—
378C2×C42—152no—
379C2×C42D3×D511yescharacteristic
380#95—52no—
381#95—52no—
382#95—152no—
383#95—152no—
384#95—152no—
385C2×C3×C5C2×#11711yescharacteristic
386C2×C3×C5C2×C4×D411yescharacteristic
387C2×C3×C5#52011yescharacteristic
388C2×C3×C5#54611yescharacteristic
389C2×C3×C5#54811yescharacteristic
390C2×C3×C5#55211yescharacteristic
391C2×C3×C5#55311yescharacteristic
392C5×D3—24no—
393C5×D3—42no—
394C23×C3C23×D511yescharacteristic
395C22×D3—21no—
396C22×D3—21no—
397C22×D3—21no—
398C22×D3—21no—
399C22×D3—21no—
400C22×D3—21no—
401C22×D3—21no—
402C22×D3—21no—
403C22×D3—21no—
404C22×D3—21no—
405C22×D3#70912yes—
406C22×D3#70912yes—
407C22×D3C22×Dic512yes—
408C22×D3C22×Dic512yes—
409C2×C3×C4—21no—
410C2×C3×C4—21no—
411C2×C3×C4—21no—
412C2×C3×C4—21no—
413C2×C3×C4—102no—
414C2×C3×C4—102no—
415C2×C3×C4—102no—
416C2×C3×C4—102no—
417C2×C3×C4—102no—
418C2×C3×C4—102no—
419C2×C3×C4D4×D512yes—
420C2×C3×C4#71112yes—
421C2×C3×C4C22×Dic512yes—
422C2×C3×C4C22×Dic512yes—
423C2×C3×C4C22×Dic512yes—
424C2×Dic3—21no—
425C2×Dic3—21no—
426C2×Dic3—21no—
427C2×Dic3—21no—
428C2×Dic3—54no—
429C2×Dic3—102no—
430C2×Dic3—102no—
431C2×Dic3—102no—
432C2×Dic3—102no—
433C2×Dic3—102no—
434C2×Dic3C22×Dic512yes—
435C2×Dic3C22×Dic512yes—
436D12—28no—
437C4×D3—28no—
438C4×D3—28no—
439C4×D3—208no—
440C22×C5—34no—
441C22×C5—62no—
442C22×C5—62no—
443C22×C5—62no—
444C22×C5—62no—
445C22×C5—62no—
446C22×C5—62no—
447C22×C5—62no—
448C22×C5—62no—
449C22×C5—62no—
450C22×C5—121no—
451C22×C5—121no—
452C22×C5—121no—
453C22×C5—121no—
454C22×C5C22×C4×D311yescharacteristic
455C22×C5C2×D3×D411yescharacteristic
456C22×C5C2×#23911yescharacteristic
457C22×C5D3×#4111yescharacteristic
458C22×C5D3×#4111yescharacteristic
459C22×C5#100911yescharacteristic
460C22×C5#101011yescharacteristic
461C4×C5—22no—
462C4×C5—22no—
463C4×C5—62no—
464C4×C5—62no—
465C4×C5#89314yes—
466Dic5—42no—
467Dic5—42no—
468Dic5—64no—
469Dic5—122no—
470C24—31no—
471C24—31no—
472C2×D4—34no—
473C2×D4—62no—
474C2×D4—62no—
475C22×C4—31no—
476C22×C4—31no—
477C22×C4—34no—
478C22×C4—34no—
479C22×C4—52no—
480C22×C4—52no—
481C22×C4—62no—
482C22×C4—62no—
483C22×C4—62no—
484C22×C4—62no—
485C22×C4—152no—
486C22×C4—152no—
487C22×C4—304no—
488C22×C4—304no—
489C22×C4—602no—
490C22×C4C2×D3×D511yescharacteristic
491C22×C4C2×D3×D511yescharacteristic
492C22×C4C2×D3×D511yescharacteristic
493C4⋊C4—34no—
494C4⋊C4—102no—
495C4⋊C4—102no—
496C4⋊C4—154no—
497C4⋊C4—304no—
498C4⋊C4—302no—
499C22⋊C4—34no—
500C22⋊C4—34no—
501C22⋊C4—304no—
502C22⋊C4—304no—
503C22⋊C4—602no—
504C42—304no—
505C42—602no—
506C42D3×Dic514yescomplemented
507C3×C5#235211yescharacteristic, complemented, Hall
508C22×C3C2×#70911yescharacteristic
509C22×C3C2×#70911yescharacteristic
510C22×C3C2×D4×D511yescharacteristic
511C22×C3C2×#71111yescharacteristic
512C22×C3#414911yescharacteristic
513C22×C3#415011yescharacteristic
514C22×C3C23×Dic511yescharacteristic
515C2×D3—22no—
516C2×D3—22no—
517C2×D3—22no—
518C2×D3—22no—
519C2×D3—22no—
520C2×D3—22no—
521C2×D3—22no—
522C2×D3—22no—
523C2×D3—22no—
524C2×D3—41no—
525C2×D3—41no—
526C2×D3—41no—
527C2×D3—41no—
528C2×D3#407214yescomplemented
529C3×C4—22no—
530C3×C4—22no—
531C3×C4—202no—
532C3×C4—202no—
533C3×C4D4×Dic514yes—
534Dic3—22no—
535Dic3—22no—
536Dic3—104no—
537Dic3—202no—
538C2×C5—64no—
539C2×C5—122no—
540C2×C5C2×#89311yescharacteristic
541C2×C5D3×#11711yescharacteristic
542C2×C5#552311yescharacteristic
543C2×C5#567611yescharacteristic
544C2×C5#567711yescharacteristic
545C2×C5#569411yescharacteristic
546C2×C5#569511yescharacteristic
547C23—32no—
548C23—32no—
549C23—32no—
550C23—32no—
551C23—61no—
552C23—61no—
553C23—61no—
554C23—61no—
555C23—61no—
556C23—61no—
557C23—61no—
558C23—61no—
559C23—61no—
560C23—61no—
561C23C22×D3×D511yescharacteristic
562D4—68no—
563C2×C4—21no—
564C2×C4—21no—
565C2×C4—21no—
566C2×C4—21no—
567C2×C4—32no—
568C2×C4—32no—
569C2×C4—61no—
570C2×C4—61no—
571C2×C4—61no—
572C2×C4—61no—
573C2×C4—68no—
574C2×C4—68no—
575C2×C4—102no—
576C2×C4—102no—
577C2×C4—102no—
578C2×C4—102no—
579C2×C4—102no—
580C2×C4—102no—
581C2×C4—154no—
582C2×C4—302no—
583C2×C4—302no—
584C2×C4—302no—
585C2×C4—302no—
586C2×C4—302no—
587C2×C4—608no—
588C2×C4#676812yes—
589C2×C4#677712yes—
590C2×C4C2×D3×Dic512yes—
591C2×C4C2×D3×Dic512yes—
592C2×C4C2×D3×Dic512yes—
593C2×C3#6587511yescharacteristic
594C2×C3#6588411yescharacteristic
595C2×C3#6588611yescharacteristic
596C2×C3#6589911yescharacteristic
597C2×C3C2×#407211yescharacteristic
598C2×C3C2×D4×Dic511yescharacteristic
599C2×C3#6616111yescharacteristic
600D3—24no—
601D3—42no—
602C5#7422911yescharacteristic, complemented, Sylow
603C22—34no—
604C22—62no—
605C22—62no—
606C22—62no—
607C22—62no—
608C22—62no—
609C22—62no—
610C22—62no—
611C22—62no—
612C22—62no—
613C22—121no—
614C22—121no—
615C22—121no—
616C22—121no—
617C22#9200111yescharacteristic
618C22C2×#676811yescharacteristic
619C22C2×#677711yescharacteristic
620C22D3×#70911yescharacteristic
621C22D3×#70911yescharacteristic
622C22#9201911yescharacteristic
623C22C22×D3×Dic511yescharacteristic
624C4—22no—
625C4—22no—
626C4—62no—
627C4—62no—
628C4—202no—
629C4—202no—
630C4—304no—
631C4—602no—
632C4#9143514yes—
633C3#1061406611yescharacteristic, complemented, Sylow
634C2—64no—
635C2—122no—
636C2#1175255511yescharacteristic
637C2#1175261311yescharacteristic
638C2#1175261711yescharacteristic
639C2#1175274911yescharacteristic
640C2C2×#9143511yescharacteristic
641C2D3×#407211yescharacteristic
642C2#1175451311yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC2×C3×C42×C5C22
socle, cosocleC23×C3×C5C24
prime radicalC22×C5×D12C22
hypercenterC2×C42D3×D5
hypocenterC3×C5#2352
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
2. C2×D3×C4⋊Dic5C2semidirect
3. C2×#91338C2semidirect
4. C4×C4⋊Dic15C2semidirect
5. C3×#65225C2semidirect
7. #11748886C2semidirect
8. #11748794C2semidirect
9. #11748786C2semidirect
10. #11748786C2semidirect
11. #11748683C2semidirect
24. C4×C5×D12C4semidirect
49. #65225D3semidirect
68. C2×C4×C5×D3C2×C4semidirect
74. C3×C42×C5C2×C4semidirect
76. C4⋊Dic15D4semidirect
79. C5×(C2×D3)⋊C4C2×C4semidirect
80. C5×C4⋊Dic3C2×C4semidirect
192. C4×D12Dic5semidirect
224. C42×C5C4×D3semidirect
266. C2×C5×D3#117semidirect
298. C2×C4×D3C2×Dic5semidirect
301. C3×C42C2×Dic5semidirect
306. (C2×D3)⋊C4C2×Dic5semidirect
309. C4⋊Dic3C2×Dic5semidirect
506. C42D3×Dic5semidirect
507. C3×C5#2352semidirect
528. C2×D3#4072semidirect
602. C5#74229semidirect
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×D122
C2×D3×C4⋊Dic52
C2×#913382
C4×C4⋊Dic152
C3×#652252
#117489012
#117488862
#117487942
#117487862
#117486832
#106140663
#742295