Finite Group Databasebeta

← #14329482

Subgroups — #14329482

Order 1920.

1664 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×D4×Dic15C211yesmaximal, characteristic, complemented
2C2×C5×#940C211yesmaximal, characteristic
3C2×#67⋊Dic5C212yesmaximal, complemented
4C2×Dic5×D12C211yesmaximal, characteristic, complemented
5C3×#65510C211yesmaximal, characteristic, complemented
6#11749519C212yesmaximal, complemented
7#11749501C212yesmaximal, complemented
8#11749482C212yesmaximal, complemented
9C4×Dic3⋊Dic5C211yesmaximal, characteristic, complemented
10#11748797C211yesmaximal, characteristic, complemented
11Dic3×C4⋊Dic5C211yesmaximal, characteristic, complemented
12#10614904—31nomaximal, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C23×Dic15C2212yes—
15C22×C5×#67C2212yes—
16C22×C5×#67C2212yes—
17C22×C5×D12C2211yescharacteristic
18C22×D3×Dic5C2212yes—
19C2×#6719C2212yes—
20D4×Dic15—24no—
21C2×C4⋊Dic15C2211yescharacteristic
22C2×C4×Dic15C2211yescharacteristic
23C5×#940C418yescomplemented
24C2×C4×C5×Dic3C2211yescharacteristic
25C2×C3×C22⋊Dic5C2212yes—
26C2×C3×C22⋊Dic5C2212yes—
27C2×C3×C4⋊Dic5C2211yescharacteristic
28C2×C3×C4×Dic5C2211yescharacteristic
29#67⋊Dic5—28no—
30C2×Dic3⋊Dic5C2211yescharacteristic
31C2×Dic3⋊Dic5C2211yescharacteristic
32C2×(C2×D3)⋊Dic5C2212yes—
33C2×(C2×D3)⋊Dic5C2212yes—
34C2×(C2×D3)⋊Dic5C2212yes—
35C2×Dic3×Dic5C2212yes—
36Dic5×D12—24no—
37#90994C2212yes—
38#90994C2211yescharacteristic
39#90994C2211yescharacteristic
40#76306—51nomaximal, Hall
41C2×C5×#127—31no—
42C2×D4×Dic5—31no—
43C2×D4×Dic5—31no—
44C2×D4×Dic5—32no—
45#65510—31no—
46#65510—32no—
47#65510D311yescharacteristic, complemented
48#65509—32no—
49#65509—32no—
50C4×C4⋊Dic5—31no—
51C4×C4⋊Dic5—31no—
52C24×C3×C5C2312yes—
53C23×C5×D3C2312yes—
54C2×C3×C5×D4—22no—
55C2×C3×C5×D4—22no—
56C2×C3×C5×D4C2×C414yescomplemented
57C22×C3×C4×C5C2311yescharacteristic
58C22×Dic15—24no—
59C22×Dic15—24no—
60C22×Dic15—42no—
61C22×Dic15C2311yescharacteristic
62C22×Dic15C2312yes—
63C22×Dic15C2311yescharacteristic
64C2×C5×#67—24no—
65C2×C5×#67—24no—
66C2×C5×#67—42no—
67C2×C5×#67—42no—
68C2×C5×#67C2×C418yescomplemented
69C2×C5×#67C2×C418yescomplemented
70C22×C5×Dic3C2311yescharacteristic
71C22×C5×Dic3C2311yescharacteristic
72C2×C5×D12—22no—
73C2×C5×D12—22no—
74C2×C5×D12C2×C414yescomplemented
75C22×C3×Dic5C2312yes—
76C22×C3×Dic5C2311yescharacteristic
77C22×C3×Dic5C2311yescharacteristic
78C2×D3×Dic5—24no—
79C2×D3×Dic5—24no—
80C2×D3×Dic5—42no—
81#6719—24no—
82C4⋊Dic15D414yescomplemented
83C4×Dic15—22no—
84C4×C5×Dic3C2×C414yescomplemented
85C3×C22⋊Dic5—24no—
86C3×C22⋊Dic5—42no—
87C3×C4⋊Dic5—22no—
88C3×C4×Dic5—22no—
89Dic3⋊Dic5—22no—
90Dic3⋊Dic5D414yescomplemented
91(C2×D3)⋊Dic5—24no—
92(C2×D3)⋊Dic5—24no—
93(C2×D3)⋊Dic5—42no—
94Dic3×Dic5—24no—
95C2×#940D511yescharacteristic
96C2×D4×Dic3—51no—
97C2×#67⋊C4—52no—
98C2×C4×D12—51no—
99C3×#390—51no—
100#4988—51no—
101Dic3×C4⋊C4—51no—
102#4958—52no—
103#4957—52no—
104#4956—52no—
105C4×Dic3⋊C4—51no—
106C22×C5×D4—32no—
107C22×C5×D4—32no—
108C22×C5×D4—31no—
109C22×C5×D4C2×D311yescharacteristic
110C23×Dic5—32no—
111C23×Dic5—32no—
112C5×#127—38no—
113C2×C42×C5—31no—
114C2×C22⋊Dic5—32no—
115C2×C22⋊Dic5—32no—
116C2×C22⋊Dic5—32no—
117C2×C22⋊Dic5—32no—
118C2×C22⋊Dic5C2×D312yes—
119C2×C22⋊Dic5C2×D312yes—
120D4×Dic5—64no—
121D4×Dic5—68no—
122D4×Dic5—64no—
123C2×C4⋊Dic5—31no—
124C2×C4⋊Dic5—31no—
125C2×C4⋊Dic5—31no—
126C2×C4⋊Dic5C2×D311yescharacteristic
127C2×C4×Dic5—31no—
128C2×C4×Dic5—32no—
129C2×C4×Dic5C2×D311yescharacteristic
130#3963—32no—
131#3963—31no—
132#3963—31no—
133#2366—151noSylow
134C23×C3×C5—22no—
135C23×C3×C5—22no—
136C23×C3×C5—22no—
137C23×C3×C5—22no—
138C23×C3×C5—22no—
139C23×C3×C5—22no—
140C23×C3×C5C22×C414yes—
141C23×C3×C5C2411yescharacteristic
142C22×C5×D3—22no—
143C22×C5×D3—22no—
144C22×C5×D3—22no—
145C22×C5×D3—22no—
146C22×C5×D3—22no—
147C22×C5×D3—22no—
148C22×C5×D3C22×C414yes—
149C3×C5×D4—28no—
150C2×C3×C4×C5C22×C412yes—
151C2×C3×C4×C5C2×D412yes—
152C2×C3×C4×C5#4112yes—
153C2×Dic15—22no—
154C2×Dic15—21no—
155C2×Dic15—22no—
156C2×Dic15—21no—
157C2×Dic15—21no—
158C2×Dic15—21no—
159C2×Dic15—21no—
160C2×Dic15—48no—
161C2×Dic15C2×D412yes—
162C2×Dic15C2×D414yes—
163C5×#67—216no—
164C5×#67—48no—
165C2×C5×Dic3—21no—
166C2×C5×Dic3—21no—
167C2×C5×Dic3C22×C412yes—
168C2×C5×Dic3C22×C412yes—
169C2×C5×Dic3C2×D412yes—
170C2×C5×Dic3#4112yes—
171C5×D12—28no—
172C2×C3×Dic5—21no—
173C2×C3×Dic5—21no—
174C2×C3×Dic5—22no—
175C2×C3×Dic5—21no—
176C2×C3×Dic5—21no—
177C2×C3×Dic5—22no—
178C2×C3×Dic5—22no—
179C2×C3×Dic5—21no—
180C2×C3×Dic5C2×D412yes—
181D3×Dic5—48no—
182C22×C3×D4C2×D511yescharacteristic
183C22×#67C2×D512yes—
184C22×#67C2×D512yes—
185C23×Dic3—52no—
186C22×D12C2×D511yescharacteristic
187C22×C4×D3—52no—
188C2×C3×C4⋊C4—51no—
189C2×C3×C22⋊C4—52no—
190C2×C3×C22⋊C4—52no—
191C2×C3×C42—51no—
192C2×#217—52no—
193#940Dic518yescomplemented
194D4×Dic3—104no—
195C2×(C2×D3)⋊C4—52no—
196C2×(C2×D3)⋊C4—52no—
197C2×(C2×D3)⋊C4—52no—
198C2×C4⋊Dic3—51no—
199C2×Dic3⋊C4—51no—
200C2×Dic3⋊C4—51no—
201C2×C4×Dic3—51no—
202C2×C4×Dic3—52no—
203C2×C4×Dic3C2×D511yescharacteristic
204#67⋊C4—108no—
205C4×D12—104no—
206C3⋊#95—51no—
207C3⋊#95—51no—
208C3⋊#95—52no—
209C24×C5—32no—
210C24×C5C22×D312yes—
211C2×C5×D4—22no—
212C2×C5×D4—22no—
213C2×C5×D4—38no—
214C2×C5×D4—38no—
215C2×C5×D4—34no—
216C2×C5×D4—64no—
217C2×C5×D4—64no—
218C2×C5×D4—62no—
219C2×C5×D4—62no—
220C2×C5×D4—122no—
221C2×C5×D4—122no—
222C2×C5×D4C4×D314yescomplemented
223C22×C4×C5—31no—
224C22×C4×C5—31no—
225C22×C4×C5C22×D311yescharacteristic
226C22×Dic5—32no—
227C22×Dic5—31no—
228C22×Dic5—31no—
229C22×Dic5—64no—
230C22×Dic5—64no—
231C22×Dic5—64no—
232C22×Dic5—64no—
233C22×Dic5—122no—
234C22×Dic5—122no—
235C22×Dic5C22×D312yes—
236C22×Dic5C22×D311yescharacteristic
237C22×Dic5C22×D311yescharacteristic
238C42×C5—34no—
239C22⋊Dic5—24no—
240C22⋊Dic5—42no—
241C22⋊Dic5—64no—
242C22⋊Dic5—64no—
243C22⋊Dic5—64no—
244C22⋊Dic5—122no—
245C4⋊Dic5—22no—
246C4⋊Dic5—34no—
247C4⋊Dic5—34no—
248C4⋊Dic5—62no—
249C4×Dic5—22no—
250C4×Dic5—64no—
251C4×Dic5—62no—
252C2×#127—31no—
253C2×C4×D4—151no—
254C2×C4×D4—152no—
255C2×C4×D4—151no—
256#390—51no—
257#390—152no—
258#390—151no—
259#386—152no—
260#386—152no—
261C4×C4⋊C4—151no—
262C4×C4⋊C4—151no—
263C22×C3×C5—24no—
264C22×C3×C5—24no—
265C22×C3×C5—24no—
266C22×C3×C5—42no—
267C22×C3×C5—42no—
268C22×C3×C5—42no—
269C22×C3×C5—42no—
270C22×C3×C5C23×C411yescharacteristic
271C22×C3×C5C22×D411yescharacteristic
272C22×C3×C5C22×D411yescharacteristic
273C22×C3×C5C2×#4111yescharacteristic
274C22×C3×C5C2×#4111yescharacteristic
275C22×C3×C5H(5,𝔽2)11yescharacteristic
276C22×C3×C5H(5,𝔽2)11yescharacteristic
277C2×C5×D3—24no—
278C2×C5×D3—24no—
279C2×C5×D3—24no—
280C2×C5×D3—42no—
281C2×C5×D3—42no—
282C2×C5×D3—42no—
283C2×C5×D3—42no—
284C3×C4×C5C4×D414yescomplemented
285Dic15—24no—
286Dic15—22no—
287Dic15—41no—
288C3×Dic5—22no—
289C3×Dic5—42no—
290C3×Dic5—41no—
291C5×Dic3—22no—
292C5×Dic3C4×D414yescomplemented
293C24×C3C22×D512yes—
294C23×D3C22×D512yes—
295C2×C3×D4—22no—
296C2×C3×D4—22no—
297C2×C3×D4C2×Dic514yescomplemented
298C22×C3×C4—51no—
299C22×C3×C4—52no—
300C22×C3×C4—51no—
301C22×C3×C4C22×D511yescharacteristic
302C2×#67—24no—
303C2×#67—24no—
304C2×#67—42no—
305C2×#67—42no—
306C2×#67C2×Dic518yescomplemented
307C2×#67C2×Dic518yescomplemented
308C22×Dic3—51no—
309C22×Dic3—52no—
310C22×Dic3—51no—
311C22×Dic3—104no—
312C22×Dic3—104no—
313C22×Dic3—202no—
314C22×Dic3C22×D511yescharacteristic
315C22×Dic3C22×D511yescharacteristic
316C2×D12—22no—
317C2×D12—22no—
318C2×D12C2×Dic514yescomplemented
319C2×C4×D3—104no—
320C2×C4×D3—104no—
321C2×C4×D3—202no—
322C3×C4⋊C4—102no—
323C3×C22⋊C4—104no—
324C3×C22⋊C4—202no—
325C3×C42—102no—
326#217—104no—
327(C2×D3)⋊C4—104no—
328(C2×D3)⋊C4—104no—
329(C2×D3)⋊C4—202no—
330C4⋊Dic3—54no—
331Dic3⋊C4—54no—
332Dic3⋊C4—102no—
333C4×Dic3—102no—
334C4×Dic3—104no—
335C4×Dic3C2×Dic514yescomplemented
336C23×C5—22no—
337C23×C5—22no—
338C23×C5—22no—
339C23×C5—22no—
340C23×C5—22no—
341C23×C5—22no—
342C23×C5—34no—
343C23×C5—62no—
344C23×C5—62no—
345C23×C5—62no—
346C23×C5—62no—
347C23×C5—62no—
348C23×C5—62no—
349C23×C5C2×C4×D314yes—
350C23×C5C23×D311yescharacteristic
351C5×D4—28no—
352C5×D4—616no—
353C5×D4—68no—
354C5×D4—128no—
355C2×C4×C5—32no—
356C2×C4×C5—32no—
357C2×C4×C5—32no—
358C2×C4×C5—32no—
359C2×C4×C5—61no—
360C2×C4×C5—61no—
361C2×C4×C5C2×C4×D312yes—
362C2×C4×C5D3×D412yes—
363C2×C4×C5#23712yes—
364C2×Dic5—21no—
365C2×Dic5—21no—
366C2×Dic5—21no—
367C2×Dic5—22no—
368C2×Dic5—22no—
369C2×Dic5—21no—
370C2×Dic5—22no—
371C2×Dic5—21no—
372C2×Dic5—32no—
373C2×Dic5—34no—
374C2×Dic5—62no—
375C2×Dic5—61no—
376C2×Dic5—62no—
377C2×Dic5—61no—
378C2×Dic5—61no—
379C2×Dic5—61no—
380C2×Dic5—61no—
381C2×Dic5—128no—
382C2×Dic5—128no—
383C2×Dic5D3×D412yes—
384C22×D4—32no—
385C22×D4—32no—
386C22×D4—31no—
387C22×D4D3×D511yescharacteristic
388C23×C4—152no—
389C23×C4—152no—
390#127—38no—
391C4×D4—304no—
392C4×D4—308no—
393C4×D4—304no—
394C2×C4⋊C4—51no—
395C2×C4⋊C4—151no—
396C2×C4⋊C4—151no—
397C2×C4⋊C4—151no—
398C2×C22⋊C4—52no—
399C2×C22⋊C4—52no—
400C2×C22⋊C4—152no—
401C2×C22⋊C4—152no—
402C2×C22⋊C4—152no—
403C2×C22⋊C4—152no—
404C2×C42—31no—
405C2×C42—51no—
406C2×C42—152no—
407C2×C42—151no—
408#95—151no—
409#95—151no—
410#95—152no—
411C2×C3×C5—44no—
412C2×C3×C5C2×C4×D411yescharacteristic
413C2×C3×C5C2×C4×D411yescharacteristic
414C2×C3×C5#51811yescharacteristic
415C2×C3×C5D4211yescharacteristic
416C2×C3×C5#55011yescharacteristic
417C2×C3×C5#55011yescharacteristic
418C2×C3×C5#55911yescharacteristic
419C5×D3—44no—
420C23×C3—22no—
421C23×C3—22no—
422C23×C3—22no—
423C23×C3—22no—
424C23×C3—22no—
425C23×C3—22no—
426C23×C3C22×Dic514yes—
427C23×C3C23×D511yescharacteristic
428C22×D3—22no—
429C22×D3—22no—
430C22×D3—22no—
431C22×D3—22no—
432C22×D3—22no—
433C22×D3—22no—
434C22×D3C22×Dic514yes—
435C3×D4—28no—
436C2×C3×C4—52no—
437C2×C3×C4—101no—
438C2×C3×C4—101no—
439C2×C3×C4—102no—
440C2×C3×C4—101no—
441C2×C3×C4—101no—
442C2×C3×C4—102no—
443C2×C3×C4—102no—
444C2×C3×C4—101no—
445C2×C3×C4D4×D512yes—
446C2×C3×C4#71112yes—
447C2×C3×C4C22×Dic512yes—
448#67—216no—
449#67—48no—
450C2×Dic3—21no—
451C2×Dic3—21no—
452C2×Dic3—52no—
453C2×Dic3—54no—
454C2×Dic3—102no—
455C2×Dic3—101no—
456C2×Dic3—102no—
457C2×Dic3—101no—
458C2×Dic3—101no—
459C2×Dic3—101no—
460C2×Dic3—101no—
461C2×Dic3—208no—
462C2×Dic3D4×D512yes—
463C2×Dic3#71112yes—
464C2×Dic3C22×Dic512yes—
465C2×Dic3C22×Dic512yes—
466D12—28no—
467C4×D3—208no—
468C22×C5—24no—
469C22×C5—24no—
470C22×C5—24no—
471C22×C5—42no—
472C22×C5—42no—
473C22×C5—42no—
474C22×C5—42no—
475C22×C5—64no—
476C22×C5—64no—
477C22×C5—64no—
478C22×C5—122no—
479C22×C5—122no—
480C22×C5—122no—
481C22×C5—122no—
482C22×C5C22×C4×D311yescharacteristic
483C22×C5C2×D3×D411yescharacteristic
484C22×C5C2×D3×D411yescharacteristic
485C22×C5C2×#23711yescharacteristic
486C22×C5#100411yescharacteristic
487C22×C5D3×#4111yescharacteristic
488C22×C5#100911yescharacteristic
489C4×C5—34no—
490C4×C5—62no—
491C4×C5#67⋊C414yescomplemented
492Dic5—22no—
493Dic5—42no—
494Dic5—41no—
495Dic5—64no—
496Dic5—62no—
497Dic5—121no—
498C24—32no—
499C24C2×D3×D512yes—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—38no—
503C2×D4—38no—
504C2×D4—34no—
505C2×D4—64no—
506C2×D4—64no—
507C2×D4—62no—
508C2×D4—62no—
509C2×D4—122no—
510C2×D4—122no—
511C2×D4D3×Dic514yescomplemented
512C22×C4—31no—
513C22×C4—31no—
514C22×C4—51no—
515C22×C4—51no—
516C22×C4—52no—
517C22×C4—151no—
518C22×C4—152no—
519C22×C4—151no—
520C22×C4—304no—
521C22×C4—304no—
522C22×C4—304no—
523C22×C4—304no—
524C22×C4—602no—
525C22×C4—602no—
526C22×C4C2×D3×D511yescharacteristic
527C4⋊C4—102no—
528C4⋊C4—154no—
529C4⋊C4—154no—
530C4⋊C4—302no—
531C22⋊C4—104no—
532C22⋊C4—202no—
533C22⋊C4—304no—
534C22⋊C4—304no—
535C22⋊C4—304no—
536C22⋊C4—602no—
537C42—34no—
538C42—102no—
539C42—304no—
540C42—302no—
541C3×C5#236611yescharacteristic, complemented, Hall
542C22×C3—24no—
543C22×C3—24no—
544C22×C3—24no—
545C22×C3—42no—
546C22×C3—42no—
547C22×C3—42no—
548C22×C3—42no—
549C22×C3C2×D4×D511yescharacteristic
550C22×C3C2×D4×D511yescharacteristic
551C22×C3C2×#71111yescharacteristic
552C22×C3C2×#71111yescharacteristic
553C22×C3#414411yescharacteristic
554C22×C3#414411yescharacteristic
555C22×C3C23×Dic511yescharacteristic
556C2×D3—24no—
557C2×D3—24no—
558C2×D3—24no—
559C2×D3—42no—
560C2×D3—42no—
561C2×D3—42no—
562C2×D3—42no—
563C3×C4—102no—
564C3×C4—202no—
565C3×C4—201no—
566C3×C4D4×Dic514yescomplemented
567Dic3—22no—
568Dic3—104no—
569Dic3—102no—
570Dic3—201no—
571Dic3D4×Dic514yescomplemented
572C2×C5—44no—
573C2×C5—124no—
574C2×C5C2×#67⋊C411yescharacteristic
575C2×C5C4×D3×D411yescharacteristic
576C2×C5#554511yescharacteristic
577C2×C5#559911yescharacteristic
578C2×C5#560911yescharacteristic
579C2×C5#568111yescharacteristic
580C2×C5#571811yescharacteristic
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—34no—
588C23—62no—
589C23—62no—
590C23—62no—
591C23—62no—
592C23—62no—
593C23—62no—
594C23C2×D3×Dic514yes—
595C23C22×D3×D511yescharacteristic
596D4—28no—
597D4—616no—
598D4—68no—
599D4—128no—
600C2×C4—32no—
601C2×C4—32no—
602C2×C4—32no—
603C2×C4—32no—
604C2×C4—52no—
605C2×C4—61no—
606C2×C4—61no—
607C2×C4—101no—
608C2×C4—101no—
609C2×C4—102no—
610C2×C4—101no—
611C2×C4—101no—
612C2×C4—102no—
613C2×C4—102no—
614C2×C4—101no—
615C2×C4—152no—
616C2×C4—154no—
617C2×C4—302no—
618C2×C4—302no—
619C2×C4—301no—
620C2×C4—301no—
621C2×C4—301no—
622C2×C4—301no—
623C2×C4—301no—
624C2×C4—608no—
625C2×C4—608no—
626C2×C4#678012yes—
627C2×C4C2×D3×Dic512yes—
628C2×C4#679012yes—
629C2×C3—44no—
630C2×C3#6604711yescharacteristic
631C2×C3#6605111yescharacteristic
632C2×C3#6605211yescharacteristic
633C2×C3#6605211yescharacteristic
634C2×C3C2×D4×Dic511yescharacteristic
635C2×C3C2×D4×Dic511yescharacteristic
636C2×C3#6613211yescharacteristic
637D3—44no—
638C5#7630611yescharacteristic, complemented, Sylow
639C22—24no—
640C22—24no—
641C22—24no—
642C22—42no—
643C22—42no—
644C22—42no—
645C22—42no—
646C22—64no—
647C22—64no—
648C22—64no—
649C22—122no—
650C22—122no—
651C22—122no—
652C22—122no—
653C22D3×D4×D511yescharacteristic
654C22D3×#71111yescharacteristic
655C22#9202511yescharacteristic
656C22#9202711yescharacteristic
657C22C2×#678011yescharacteristic
658C22C22×D3×Dic511yescharacteristic
659C22C2×#679011yescharacteristic
660C4—34no—
661C4—62no—
662C4—102no—
663C4—202no—
664C4—201no—
665C4—302no—
666C4—304no—
667C4—601no—
668C4#67⋊Dic514yescomplemented
669C3#1061490411yescharacteristic, complemented, Sylow
670C2—44no—
671C2—124no—
672C2D3×D4×Dic511yescharacteristic
673C2#1175478511yescharacteristic
674C2#1175488811yescharacteristic
675C2#1175491411yescharacteristic
676C2#1175495611yescharacteristic
677C2#1175504411yescharacteristic
678C2C2×#67⋊Dic511yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC22×C3×C5×D4C22
socle, cosocleC23×C3×C5C24
prime radicalC2×C5×#940C2
hypercenterC22×D4D3×D5
hypocenterC3×C5#2366
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C22×D4

Complements

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

NH ≅ G/Ntype
1. C2×D4×Dic15C2semidirect
3. C2×#67⋊Dic5C2semidirect
4. C2×Dic5×D12C2semidirect
5. C3×#65510C2semidirect
6. #11749519C2semidirect
7. #11749501C2semidirect
8. #11749482C2semidirect
9. C4×Dic3⋊Dic5C2semidirect
10. #11748797C2semidirect
11. Dic3×C4⋊Dic5C2semidirect
23. C5×#940C4semidirect
47. #65510D3semidirect
56. C2×C3×C5×D4C2×C4semidirect
68. C2×C5×#67C2×C4semidirect
69. C2×C5×#67C2×C4semidirect
74. C2×C5×D12C2×C4semidirect
82. C4⋊Dic15D4semidirect
84. C4×C5×Dic3C2×C4semidirect
90. Dic3⋊Dic5D4semidirect
193. #940Dic5semidirect
222. C2×C5×D4C4×D3semidirect
284. C3×C4×C5C4×D4semidirect
292. C5×Dic3C4×D4semidirect
297. C2×C3×D4C2×Dic5semidirect
306. C2×#67C2×Dic5semidirect
307. C2×#67C2×Dic5semidirect
318. C2×D12C2×Dic5semidirect
335. C4×Dic3C2×Dic5semidirect
491. C4×C5#67⋊C4semidirect
511. C2×D4D3×Dic5semidirect
541. C3×C5#2366semidirect
566. C3×C4D4×Dic5semidirect
571. Dic3D4×Dic5semidirect
638. C5#76306semidirect
668. C4#67⋊Dic5semidirect
669. C3#10614904semidirect

Maximal subgroups

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

subgroupindex
C2×D4×Dic152
C2×C5×#9402
C2×#67⋊Dic52
C2×Dic5×D122
C3×#655102
#117495192
#117495012
#117494822
C4×Dic3⋊Dic52
#117487972
Dic3×C4⋊Dic52
#106149043
#763065