Finite Group Databasebeta

← #14321479

Subgroups — #14321479

Order 1920.

1648 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
1C22×C4×Dic15C211yesmaximal, characteristic, complemented
2C2×C5×#930C211yesmaximal, characteristic
3C2×#67⋊Dic5C212yesmaximal, complemented
4C2×#91435C211yesmaximal, characteristic, complemented
5C3×#65501C211yesmaximal, characteristic, complemented
6#11749501C212yesmaximal, complemented
7#11748886C212yesmaximal, complemented
8#11748868C211yesmaximal, characteristic, complemented
9#11748797C211yesmaximal, characteristic, complemented
10#11748794C212yesmaximal, complemented
11#11748699C211yesmaximal, characteristic, complemented
12Dic5×#121—31nomaximal, Hall
13C23×C3×C4×C5C2211yescharacteristic
14C23×Dic15C2211yescharacteristic
15C23×Dic15C2211yescharacteristic
16C22×C5×#67C2212yes—
17C22×C5×D12C2211yescharacteristic
18C22×D3×Dic5C2212yes—
19C2×C4×Dic15—24no—
20C2×C4×Dic15C2211yescharacteristic
21C2×C4×Dic15C2211yescharacteristic
22C2×C4×Dic15C2211yescharacteristic
23C2×C4×Dic15C2211yescharacteristic
24C5×#930C418yescomplemented
25C2×C5×(C2×D3)⋊C4C2212yes—
26C2×C5×C4⋊Dic3C2211yescharacteristic
27C2×C3×C22⋊Dic5C2212yes—
28C2×C3×C4⋊Dic5C2211yescharacteristic
29C2×C3×C4⋊Dic5C2211yescharacteristic
30#67⋊Dic5—28no—
31C2×Dic3⋊Dic5C2212yes—
32C2×(C2×D3)⋊Dic5C2212yes—
33C2×(C2×D3)⋊Dic5C2212yes—
34C2×(C2×D3)⋊Dic5C2212yes—
35C2×Dic3×Dic5C2212yes—
36#91435—24no—
37C3×#3963C2212yes—
38#90994C2212yes—
39#90994C2212yes—
40#73865—51nomaximal, Hall
41C2×C5×#121—31no—
42C2×D4×Dic5—31no—
43C2×D4×Dic5—32no—
44C22×C4×Dic5—31no—
45#65510—31no—
46#65509—32no—
47#65501D311yescharacteristic, complemented
48#65274—31no—
49C4⋊C4×Dic5—31no—
50#65240—32no—
51C22⋊C4×Dic5—32no—
52C24×C3×C5C2311yescharacteristic
53C23×C5×D3C2312yes—
54C22×C3×C4×C5—22no—
55C22×C3×C4×C5—22no—
56C22×C3×C4×C5C2×C414yescomplemented
57C22×C3×C4×C5C2311yescharacteristic
58C22×C3×C4×C5C2311yescharacteristic
59C22×Dic15—22no—
60C22×Dic15—22no—
61C22×Dic15—22no—
62C22×Dic15—22no—
63C22×Dic15—22no—
64C22×Dic15D414yescomplemented
65C22×Dic15C2311yescharacteristic
66C22×Dic15C2311yescharacteristic
67C22×Dic15C2311yescharacteristic
68C22×Dic15C2311yescharacteristic
69C2×C5×#67—24no—
70C2×C5×#67—24no—
71C2×C5×#67C2×C418yescomplemented
72C22×C5×Dic3C2312yes—
73C2×C5×D12—22no—
74C2×C5×D12—22no—
75C2×C5×D12C2×C414yescomplemented
76C22×C3×Dic5C2312yes—
77C22×C3×Dic5C2312yes—
78C2×D3×Dic5—24no—
79C2×D3×Dic5—24no—
80C2×D3×Dic5—24no—
81C4×Dic15—22no—
82C4×Dic15—22no—
83C4×Dic15—22no—
84C4×Dic15D414yescomplemented
85C5×(C2×D3)⋊C4C2×C418yescomplemented
86C5×C4⋊Dic3C2×C414yescomplemented
87C3×C22⋊Dic5—24no—
88C3×C4⋊Dic5—22no—
89C3×C4⋊Dic5—22no—
90Dic3⋊Dic5—24no—
91(C2×D3)⋊Dic5—24no—
92(C2×D3)⋊Dic5—24no—
93(C2×D3)⋊Dic5—24no—
94Dic3×Dic5—24no—
95C2×#930D511yescharacteristic
96C22×C4×Dic3—51no—
97C2×#893—51no—
98C2×#67⋊C4—52no—
99C3×#380—51no—
100#4988—51no—
101Dic3×C4⋊C4—51no—
102#4972—51no—
103#4958—52no—
104#4669—52no—
105#4666—52no—
106C22×C5×D4—32no—
107C22×C5×D4—31no—
108C23×C4×C5C2×D311yescharacteristic
109C23×Dic5—31no—
110C23×Dic5—31no—
111C23×Dic5—32no—
112C5×#121—38no—
113C2×C5×C4⋊C4—31no—
114C2×C5×C22⋊C4—32no—
115C2×C22⋊Dic5—32no—
116C2×C22⋊Dic5—32no—
117C2×C22⋊Dic5—32no—
118C2×C22⋊Dic5C2×D312yes—
119D4×Dic5—64no—
120D4×Dic5—68no—
121C2×C4⋊Dic5—32no—
122C2×C4⋊Dic5C2×D311yescharacteristic
123C2×C4⋊Dic5C2×D311yescharacteristic
124C2×C4×Dic5—31no—
125C2×C4×Dic5—31no—
126C2×C4×Dic5—31no—
127C2×C4×Dic5—31no—
128C2×C4×Dic5—32no—
129C2×C4×Dic5—64no—
130#3963—32no—
131#3963—32no—
132#3963C2×D312yes—
133C4×#121—151noSylow
134C23×C3×C5—21no—
135C23×C3×C5—21no—
136C23×C3×C5—21no—
137C23×C3×C5—21no—
138C23×C3×C5C22×C412yes—
139C23×C3×C5C2×D412yes—
140C23×C3×C5#4112yes—
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—
149C2×C3×C4×C5—21no—
150C2×C3×C4×C5—21no—
151C2×C3×C4×C5—28no—
152C2×C3×C4×C5C22×C412yes—
153C2×C3×C4×C5C22×C412yes—
154C2×C3×C4×C5C2×D412yes—
155C2×C3×C4×C5#4112yes—
156C2×Dic15—28no—
157C2×Dic15—21no—
158C2×Dic15—21no—
159C2×Dic15—21no—
160C2×Dic15—21no—
161C2×Dic15—21no—
162C2×Dic15—21no—
163C2×Dic15—28no—
164C2×Dic15C2×D412yes—
165C2×Dic15C2×D412yes—
166C2×Dic15C2×D412yes—
167C2×Dic15C2×D412yes—
168C2×Dic15#4112yes—
169C2×Dic15#4112yes—
170C5×#67—216no—
171C2×C5×Dic3—22no—
172C2×C5×Dic3—22no—
173C2×C5×Dic3C22×C414yes—
174C5×D12—28no—
175C2×C3×Dic5—22no—
176C2×C3×Dic5—22no—
177C2×C3×Dic5—22no—
178C2×C3×Dic5—22no—
179C2×C3×Dic5—22no—
180C2×C3×Dic5—22no—
181D3×Dic5—48no—
182C23×C3×C4C2×D511yescharacteristic
183C22×#67C2×D512yes—
184C23×Dic3—51no—
185C23×Dic3—51no—
186C22×D12C2×D511yescharacteristic
187C22×C4×D3—52no—
188C2×C3×C4⋊C4—51no—
189C2×C3×C4⋊C4—51no—
190C2×C3×C22⋊C4—52no—
191#930Dic518yescomplemented
192C2×(C2×D3)⋊C4—52no—
193C2×(C2×D3)⋊C4—52no—
194C2×(C2×D3)⋊C4—52no—
195C2×(C2×D3)⋊C4C2×D512yes—
196C2×C4⋊Dic3C2×D511yescharacteristic
197C2×Dic3⋊C4—52no—
198C2×C4×Dic3—51no—
199C2×C4×Dic3—51no—
200C2×C4×Dic3—51no—
201C2×C4×Dic3—51no—
202C2×C4×Dic3—52no—
203C2×C4×Dic3—104no—
204#893—104no—
205#67⋊C4—108no—
206C3×#95—52no—
207C3⋊#95—52no—
208C3⋊#95—52no—
209C24×C5—32no—
210C24×C5C22×D311yescharacteristic
211C2×C5×D4—38no—
212C2×C5×D4—34no—
213C2×C5×D4—64no—
214C2×C5×D4—64no—
215C2×C5×D4—62no—
216C2×C5×D4—62no—
217C22×C4×C5—22no—
218C22×C4×C5—22no—
219C22×C4×C5—32no—
220C22×C4×C5C4×D314yescomplemented
221C22×C4×C5C22×D311yescharacteristic
222C22×C4×C5C22×D311yescharacteristic
223C22×Dic5—31no—
224C22×Dic5—34no—
225C22×Dic5—31no—
226C22×Dic5—31no—
227C22×Dic5—31no—
228C22×Dic5—64no—
229C22×Dic5—64no—
230C22×Dic5—64no—
231C22×Dic5—62no—
232C22×Dic5—62no—
233C22×Dic5—62no—
234C22×Dic5—62no—
235C22×Dic5—62no—
236C22×Dic5C22×D312yes—
237C22×Dic5C22×D312yes—
238C5×C4⋊C4—34no—
239C5×C22⋊C4—38no—
240C22⋊Dic5—24no—
241C22⋊Dic5—64no—
242C22⋊Dic5—64no—
243C22⋊Dic5—64no—
244C4⋊Dic5—22no—
245C4⋊Dic5—22no—
246C4⋊Dic5—64no—
247C4×Dic5—34no—
248C4×Dic5—64no—
249C4×Dic5—62no—
250C4×Dic5—62no—
251C4×Dic5—62no—
252C2×#121—31no—
253C2×C4×D4—152no—
254C2×C4×D4—151no—
255C22×C42—151no—
256#390—151no—
257#389—151no—
258#388—152no—
259#386—152no—
260#380—51no—
261C4×C4⋊C4—151no—
262C4×C22⋊C4—152no—
263C22×C3×C5—22no—
264C22×C3×C5—22no—
265C22×C3×C5—22no—
266C22×C3×C5—22no—
267C22×C3×C5—22no—
268C22×C3×C5—22no—
269C22×C3×C5C4×D414yescomplemented
270C22×C3×C5C23×C411yescharacteristic
271C22×C3×C5C22×D411yescharacteristic
272C22×C3×C5C22×D411yescharacteristic
273C22×C3×C5C2×#4111yescharacteristic
274C22×C3×C5C2×#4111yescharacteristic
275C22×C3×C5C2×#4111yescharacteristic
276C22×C3×C5C2×#4111yescharacteristic
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×C5—22no—
285C3×C4×C5C4×D414yescomplemented
286Dic15—22no—
287Dic15—22no—
288Dic15—22no—
289Dic15#12114yescomplemented
290C3×Dic5—42no—
291C3×Dic5—42no—
292C5×Dic3—24no—
293C24×C3C22×D511yescharacteristic
294C23×D3C22×D512yes—
295C22×C3×C4—22no—
296C22×C3×C4—22no—
297C22×C3×C4—52no—
298C22×C3×C4—52no—
299C22×C3×C4C2×Dic514yescomplemented
300C22×C3×C4C22×D511yescharacteristic
301C22×C3×C4C22×D511yescharacteristic
302C2×#67—24no—
303C2×#67—24no—
304C2×#67C2×Dic518yescomplemented
305C22×Dic3—51no—
306C22×Dic3—54no—
307C22×Dic3—51no—
308C22×Dic3—51no—
309C22×Dic3—51no—
310C22×Dic3—102no—
311C22×Dic3—102no—
312C22×Dic3—102no—
313C22×Dic3—102no—
314C22×Dic3—102no—
315C22×Dic3C22×D512yes—
316C2×D12—22no—
317C2×D12—22no—
318C2×D12C2×Dic514yescomplemented
319C2×C4×D3—104no—
320C2×C4×D3—104no—
321C2×C4×D3—104no—
322C3×C4⋊C4—102no—
323C3×C4⋊C4—102no—
324C3×C22⋊C4—104no—
325(C2×D3)⋊C4—104no—
326(C2×D3)⋊C4—104no—
327(C2×D3)⋊C4—104no—
328(C2×D3)⋊C4C2×Dic518yescomplemented
329C4⋊Dic3C2×Dic514yescomplemented
330Dic3⋊C4—104no—
331C4×Dic3—54no—
332C4×Dic3—104no—
333C4×Dic3—102no—
334C4×Dic3—102no—
335C4×Dic3—102no—
336C23×C5—21no—
337C23×C5—21no—
338C23×C5—21no—
339C23×C5—21no—
340C23×C5—34no—
341C23×C5—62no—
342C23×C5—62no—
343C23×C5—62no—
344C23×C5—62no—
345C23×C5—62no—
346C23×C5—62no—
347C23×C5C2×C4×D312yes—
348C23×C5D3×D412yes—
349C23×C5#23912yes—
350C23×C5C23×D311yescharacteristic
351C5×D4—616no—
352C5×D4—68no—
353C2×C4×C5—21no—
354C2×C4×C5—21no—
355C2×C4×C5—28no—
356C2×C4×C5—34no—
357C2×C4×C5—62no—
358C2×C4×C5—62no—
359C2×C4×C5C2×C4×D312yes—
360C2×C4×C5C2×C4×D312yes—
361C2×C4×C5D3×D412yes—
362C2×C4×C5#23712yes—
363C2×Dic5—22no—
364C2×Dic5—22no—
365C2×Dic5—22no—
366C2×Dic5—22no—
367C2×Dic5—22no—
368C2×Dic5—22no—
369C2×Dic5—32no—
370C2×Dic5—32no—
371C2×Dic5—32no—
372C2×Dic5—32no—
373C2×Dic5—32no—
374C2×Dic5—32no—
375C2×Dic5—68no—
376C2×Dic5—68no—
377C2×Dic5—61no—
378C2×Dic5—61no—
379C2×Dic5—61no—
380C2×Dic5—61no—
381C2×Dic5—61no—
382C2×Dic5—61no—
383C2×Dic5—128no—
384C22×D4—32no—
385C22×D4—31no—
386C23×C4—152no—
387C23×C4—151no—
388C23×C4—151no—
389C23×C4D3×D511yescharacteristic
390#121—38no—
391C4×D4—304no—
392C4×D4—308no—
393C2×C4⋊C4—31no—
394C2×C4⋊C4—51no—
395C2×C4⋊C4—51no—
396C2×C4⋊C4—152no—
397C2×C22⋊C4—32no—
398C2×C22⋊C4—52no—
399C2×C22⋊C4—152no—
400C2×C22⋊C4—152no—
401C2×C22⋊C4—152no—
402C2×C42—151no—
403C2×C42—152no—
404C2×C42—151no—
405C2×C42—151no—
406C2×C42—151no—
407C2×C42—304no—
408#95—52no—
409#95—152no—
410#95—152no—
411C2×C3×C5—24no—
412C2×C3×C5C2×C4×D411yescharacteristic
413C2×C3×C5C2×C4×D411yescharacteristic
414C2×C3×C5C4×#4111yescharacteristic
415C2×C3×C5C2×#12111yescharacteristic
416C2×C3×C5#52511yescharacteristic
417C2×C3×C5#52911yescharacteristic
418C2×C3×C5#53211yescharacteristic
419C5×D3—44no—
420C23×C3—21no—
421C23×C3—21no—
422C23×C3—21no—
423C23×C3—21no—
424C23×C3D4×D512yes—
425C23×C3#71112yes—
426C23×C3C22×Dic512yes—
427C23×C3C23×D511yescharacteristic
428C22×D3—22no—
429C22×D3—22no—
430C22×D3—22no—
431C22×D3—22no—
432C22×D3—22no—
433C22×D3—22no—
434C22×D3C22×Dic514yes—
435C2×C3×C4—21no—
436C2×C3×C4—21no—
437C2×C3×C4—28no—
438C2×C3×C4—102no—
439C2×C3×C4—102no—
440C2×C3×C4—102no—
441C2×C3×C4—102no—
442C2×C3×C4—102no—
443C2×C3×C4—102no—
444C2×C3×C4D4×D512yes—
445C2×C3×C4#71112yes—
446C2×C3×C4C22×Dic512yes—
447C2×C3×C4C22×Dic512yes—
448#67—216no—
449C2×Dic3—22no—
450C2×Dic3—22no—
451C2×Dic3—52no—
452C2×Dic3—52no—
453C2×Dic3—52no—
454C2×Dic3—52no—
455C2×Dic3—52no—
456C2×Dic3—52no—
457C2×Dic3—108no—
458C2×Dic3—108no—
459C2×Dic3—101no—
460C2×Dic3—101no—
461C2×Dic3—101no—
462C2×Dic3—101no—
463C2×Dic3—101no—
464C2×Dic3—101no—
465C2×Dic3C22×Dic514yes—
466D12—28no—
467C4×D3—208no—
468C22×C5—22no—
469C22×C5—22no—
470C22×C5—22no—
471C22×C5—22no—
472C22×C5—22no—
473C22×C5—22no—
474C22×C5—64no—
475C22×C5—64no—
476C22×C5—64no—
477C22×C5—122no—
478C22×C5—122no—
479C22×C5—122no—
480C22×C5—122no—
481C22×C5#89314yescomplemented
482C22×C5C22×C4×D311yescharacteristic
483C22×C5C2×D3×D411yescharacteristic
484C22×C5C2×D3×D411yescharacteristic
485C22×C5C2×#23711yescharacteristic
486C22×C5C2×#23911yescharacteristic
487C22×C5D3×#4111yescharacteristic
488C22×C5D3×#4111yescharacteristic
489C4×C5—22no—
490C4×C5—64no—
491C4×C5#67⋊C414yescomplemented
492Dic5—34no—
493Dic5—42no—
494Dic5—42no—
495Dic5—62no—
496Dic5—62no—
497Dic5—62no—
498C24—32no—
499C24C2×D3×D511yescharacteristic
500C2×D4—38no—
501C2×D4—34no—
502C2×D4—64no—
503C2×D4—64no—
504C2×D4—62no—
505C2×D4—62no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—32no—
509C22×C4—52no—
510C22×C4—52no—
511C22×C4—151no—
512C22×C4—154no—
513C22×C4—151no—
514C22×C4—151no—
515C22×C4—151no—
516C22×C4—304no—
517C22×C4—304no—
518C22×C4—304no—
519C22×C4—302no—
520C22×C4—302no—
521C22×C4—302no—
522C22×C4—302no—
523C22×C4—302no—
524C22×C4D3×Dic514yescomplemented
525C22×C4C2×D3×D511yescharacteristic
526C22×C4C2×D3×D511yescharacteristic
527C4⋊C4—34no—
528C4⋊C4—102no—
529C4⋊C4—102no—
530C4⋊C4—304no—
531C22⋊C4—38no—
532C22⋊C4—104no—
533C22⋊C4—304no—
534C22⋊C4—304no—
535C22⋊C4—304no—
536C42—154no—
537C42—302no—
538C42—302no—
539C42—304no—
540C42—302no—
541C3×C5C4×#12111yescharacteristic, complemented, Hall
542C22×C3—22no—
543C22×C3—22no—
544C22×C3—22no—
545C22×C3—22no—
546C22×C3—22no—
547C22×C3—22no—
548C22×C3D4×Dic514yescomplemented
549C22×C3C2×D4×D511yescharacteristic
550C22×C3C2×D4×D511yescharacteristic
551C22×C3C2×#71111yescharacteristic
552C22×C3C2×#71111yescharacteristic
553C22×C3D5×#4111yescharacteristic
554C22×C3D5×#4111yescharacteristic
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—22no—
564C3×C4—202no—
565C3×C4—202no—
566C3×C4D4×Dic514yescomplemented
567Dic3—24no—
568Dic3—54no—
569Dic3—102no—
570Dic3—102no—
571Dic3—102no—
572C2×C5—24no—
573C2×C5—124no—
574C2×C5C2×#67⋊C411yescharacteristic
575C2×C5C2×#89311yescharacteristic
576C2×C5#552211yescharacteristic
577C2×C5#559611yescharacteristic
578C2×C5D3×#12111yescharacteristic
579C2×C5#562411yescharacteristic
580C2×C5#562711yescharacteristic
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—34no—
586C23—62no—
587C23—62no—
588C23—62no—
589C23—62no—
590C23—62no—
591C23—62no—
592C23#676812yes—
593C23#677712yes—
594C23C2×D3×Dic512yes—
595C23C22×D3×D511yescharacteristic
596D4—616no—
597D4—68no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—28no—
601C2×C4—34no—
602C2×C4—62no—
603C2×C4—62no—
604C2×C4—102no—
605C2×C4—102no—
606C2×C4—102no—
607C2×C4—102no—
608C2×C4—102no—
609C2×C4—102no—
610C2×C4—152no—
611C2×C4—152no—
612C2×C4—152no—
613C2×C4—152no—
614C2×C4—152no—
615C2×C4—152no—
616C2×C4—308no—
617C2×C4—308no—
618C2×C4—301no—
619C2×C4—301no—
620C2×C4—301no—
621C2×C4—301no—
622C2×C4—301no—
623C2×C4—301no—
624C2×C4—608no—
625C2×C4#678012yes—
626C2×C4C2×D3×Dic512yes—
627C2×C4C2×D3×Dic512yes—
628C2×C4#679012yes—
629C2×C3—24no—
630C2×C3#6593011yescharacteristic
631C2×C3#6593411yescharacteristic
632C2×C3D5×#12111yescharacteristic
633C2×C3#6594011yescharacteristic
634C2×C3C2×D4×Dic511yescharacteristic
635C2×C3C2×D4×Dic511yescharacteristic
636C2×C3#41×Dic511yescharacteristic
637D3—44no—
638C5#7386511yescharacteristic, complemented, Sylow
639C22—22no—
640C22—22no—
641C22—22no—
642C22—22no—
643C22—22no—
644C22—22no—
645C22—64no—
646C22—64no—
647C22—64no—
648C22—122no—
649C22—122no—
650C22—122no—
651C22—122no—
652C22#9143514yescomplemented
653C22C2×#676811yescharacteristic
654C22C2×#677711yescharacteristic
655C22#9201611yescharacteristic
656C22#9201611yescharacteristic
657C22C2×#678011yescharacteristic
658C22C22×D3×Dic511yescharacteristic
659C22C2×#679011yescharacteristic
660C4—22no—
661C4—64no—
662C4—154no—
663C4—202no—
664C4—202no—
665C4—302no—
666C4—302no—
667C4—302no—
668C4#67⋊Dic514yescomplemented
669C3Dic5×#12111yescharacteristic, complemented, Sylow
670C2—24no—
671C2—124no—
672C2#1175437911yescharacteristic
673C2#1175438611yescharacteristic
674C2C2×#9143511yescharacteristic
675C2#1175445511yescharacteristic
676C2#1175446011yescharacteristic
677C2#1175467011yescharacteristic
678C2C2×#67⋊Dic511yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC23×C3×C4×C5C22
socle, cosocleC23×C3×C5C24
prime radicalC2×C5×#930C2
hypercenterC23×C4D3×D5
hypocenterC3×C5C4×#121
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C23×C4

Complements

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

NH ≅ G/Ntype
1. C22×C4×Dic15C2semidirect
3. C2×#67⋊Dic5C2semidirect
4. C2×#91435C2semidirect
5. C3×#65501C2semidirect
6. #11749501C2semidirect
7. #11748886C2semidirect
8. #11748868C2semidirect
9. #11748797C2semidirect
10. #11748794C2semidirect
11. #11748699C2semidirect
24. C5×#930C4semidirect
47. #65501D3semidirect
56. C22×C3×C4×C5C2×C4semidirect
64. C22×Dic15D4semidirect
71. C2×C5×#67C2×C4semidirect
75. C2×C5×D12C2×C4semidirect
84. C4×Dic15D4semidirect
85. C5×(C2×D3)⋊C4C2×C4semidirect
86. C5×C4⋊Dic3C2×C4semidirect
191. #930Dic5semidirect
220. C22×C4×C5C4×D3semidirect
269. C22×C3×C5C4×D4semidirect
285. C3×C4×C5C4×D4semidirect
289. Dic15#121semidirect
299. C22×C3×C4C2×Dic5semidirect
304. C2×#67C2×Dic5semidirect
318. C2×D12C2×Dic5semidirect
328. (C2×D3)⋊C4C2×Dic5semidirect
329. C4⋊Dic3C2×Dic5semidirect
481. C22×C5#893semidirect
491. C4×C5#67⋊C4semidirect
524. C22×C4D3×Dic5semidirect
541. C3×C5C4×#121semidirect
548. C22×C3D4×Dic5semidirect
566. C3×C4D4×Dic5semidirect
638. C5#73865semidirect
652. C22#91435semidirect
668. C4#67⋊Dic5semidirect
669. C3Dic5×#121semidirect

Maximal subgroups

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

subgroupindex
C22×C4×Dic152
C2×C5×#9302
C2×#67⋊Dic52
C2×#914352
C3×#655012
#117495012
#117488862
#117488682
#117487972
#117487942
#117486992
Dic5×#1213
#738655