Finite Group Databasebeta

← #14323350

Subgroups — #14323350

Order 1920.

1616 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C3×C4×C5×D4C211yesmaximal, characteristic, complemented
2C2×#91826C211yesmaximal, characteristic
3C22×#6714C211yesmaximal, characteristic, complemented
4#11751321C211yesmaximal, characteristic, complemented
5#11751314C212yesmaximal, complemented
6C4×#6719C211yesmaximal, characteristic, complemented
7#11751091C212yesmaximal, complemented
8#11751058C212yesmaximal, complemented
9#11751056C211yesmaximal, characteristic, complemented
10#11751047C211yesmaximal, characteristic, complemented
11#11751041C212yesmaximal, complemented
12#10614126—31nomaximal, Hall
13C24×D15C2211yescharacteristic
14C22×C3×C5×D4C2211yescharacteristic
15C23×C3×C4×C5C2211yescharacteristic
16C23×C3×C4×C5C2211yescharacteristic, complemented
17C22×#1220C2212yes—
18C23×Dic15C2211yescharacteristic
19C3×C4×C5×D4—24no—
20C2×C3×C5×C4⋊C4C2211yescharacteristic, complemented
21C2×C3×C5×C22⋊C4C2211yescharacteristic
22C2×C3×C5×C22⋊C4C2211yescharacteristic, complemented
23C2×C3×C42×C5C2211yescharacteristic, complemented
24C2×#6719C2211yescharacteristic
25C2×#6719C2211yescharacteristic
26C2×#6719C2212yescomplemented
27#91826C418yescomplemented
28C2×#6714—24no—
29C2×#6714C2212yes—
30C2×#6714C2212yes—
31C2×#6714C2212yes—
32C2×#6714C2212yes—
33C2×#6714C2212yes—
34C2×#6712C2212yescomplemented
35C2×C4×Dic15C2212yescomplemented
36#91115C2212yescomplemented
37#91115C2212yescomplemented
38#91115C2212yescomplemented
39#82395—51nomaximal, Hall
40C2×C4×C5×D4D311yescharacteristic, complemented
41C2×#4083—31no—
42C22×#685—31no—
43#65509—31no—
44#65502—32no—
45C4×C22⋊Dic5—31no—
46#65279—32no—
47#65246—32no—
48#65244—31no—
49#65235—31no—
50#65229—32no—
51C24×C3×C5C2311yescharacteristic
52C24×C3×C5C2311yescharacteristic
53C23×D15—22no—
54C23×D15—22no—
55C23×D15—42no—
56C23×D15—42no—
57C23×D15C2×C414yescomplemented
58C23×D15C2312yes—
59C2×C3×C5×D4—22no—
60C2×C3×C5×D4—22no—
61C2×C3×C5×D4C2×C414yes—
62C22×C3×C4×C5—22no—
63C22×C3×C4×C5—42no—
64C22×C3×C4×C5—42no—
65C22×C3×C4×C5D414yescomplemented
66C22×C3×C4×C5C2311yescharacteristic
67C22×C3×C4×C5C2311yescharacteristic
68C22×C3×C4×C5C2311yescharacteristic
69C22×C3×C4×C5C2311yescharacteristic
70C22×C3×C4×C5C2311yescharacteristic
71C2×#1220—42no—
72C2×#1220—42no—
73C2×#1220C2×C418yescomplemented
74C22×Dic15—22no—
75C22×Dic15—42no—
76C22×Dic15C2312yes—
77C22×Dic15C2312yes—
78C22×Dic15C2312yes—
79C3×C5×C4⋊C4—22no—
80C3×C5×C22⋊C4—22no—
81C3×C5×C22⋊C4—22no—
82C3×C42×C5—22no—
83#6719—22no—
84#6719—42no—
85#6719C2×C414yescomplemented
86#6714—24no—
87#6714—24no—
88#6714—42no—
89#6714—42no—
90#6714C2×C418yescomplemented
91#6712—42no—
92C4×Dic15—42no—
93C2×C3×C4×D4D511yescharacteristic, complemented
94C2×#937—51no—
95C22×(C2×D3)⋊C4—51no—
96#5220—51no—
97#5213—52no—
98C4×#217—51no—
99#4990—52no—
100#4957—52no—
101#4955—51no—
102#4946—51no—
103#4940—52no—
104C24×D5—31no—
105C22×C5×D4C2×D311yescharacteristic
106C23×C4×C5C2×D311yescharacteristic
107C23×C4×C5C2×D311yescharacteristic, complemented
108C22×C22⋊D5—32no—
109C23×Dic5—31no—
110C4×C5×D4—24no—
111C2×C5×C4⋊C4C2×D311yescharacteristic, complemented
112C2×C5×C22⋊C4C2×D311yescharacteristic
113C2×C5×C22⋊C4C2×D311yescharacteristic, complemented
114C2×C42×C5C2×D311yescharacteristic, complemented
115C2×C22⋊Dic5—31no—
116C2×C22⋊Dic5—31no—
117C2×C22⋊Dic5—32no—
118#4083—38no—
119C2×#685—32no—
120C2×#685—32no—
121C2×#685—32no—
122C2×#685—32no—
123C2×#685—32no—
124C2×#685—64no—
125C2×#683—32no—
126C2×C4×Dic5—32no—
127#3963—32no—
128#3963—32no—
129#3963—32no—
130#2321—151noSylow
131C23×C3×C5—22no—
132C23×C3×C5—22no—
133C23×C3×C5—21no—
134C23×C3×C5—21no—
135C23×C3×C5—22no—
136C23×C3×C5—22no—
137C23×C3×C5C22×C412yes—
138C23×C3×C5C22×C412yes—
139C23×C3×C5C2×D412yes—
140C23×C3×C5#4112yes—
141C23×C3×C5C2411yescharacteristic
142C22×D15—28no—
143C22×D15—22no—
144C22×D15—22no—
145C22×D15—22no—
146C22×D15—22no—
147C22×D15—22no—
148C22×D15—22no—
149C22×D15—48no—
150C22×D15—44no—
151C22×D15—44no—
152C22×D15—48no—
153C22×D15C22×C414yes—
154C3×C5×D4—28no—
155C2×C3×C4×C5—21no—
156C2×C3×C4×C5—21no—
157C2×C3×C4×C5—22no—
158C2×C3×C4×C5—22no—
159C2×C3×C4×C5—21no—
160C2×C3×C4×C5—21no—
161C2×C3×C4×C5—22no—
162C2×C3×C4×C5—22no—
163C2×C3×C4×C5—44no—
164C2×C3×C4×C5—44no—
165C2×C3×C4×C5C22×C412yes—
166C2×C3×C4×C5C2×D412yes—
167C2×C3×C4×C5C2×D412yes—
168#1220—48no—
169C2×Dic15—22no—
170C2×Dic15—22no—
171C2×Dic15—22no—
172C2×Dic15—22no—
173C2×Dic15—22no—
174C2×Dic15—22no—
175C2×Dic15—22no—
176C2×Dic15—22no—
177C2×Dic15—44no—
178C2×Dic15C22×C414yes—
179C24×D3—51no—
180C22×C3×D4C2×D511yescharacteristic
181C23×C3×C4C2×D511yescharacteristic
182C23×C3×C4C2×D511yescharacteristic, complemented
183C22×#67—52no—
184C23×Dic3—51no—
185C3×C4×D4—24no—
186C2×C3×C4⋊C4C2×D511yescharacteristic, complemented
187C2×C3×C22⋊C4C2×D511yescharacteristic
188C2×C3×C22⋊C4C2×D511yescharacteristic, complemented
189C2×C3×C42C2×D511yescharacteristic, complemented
190C2×#217—51no—
191C2×#217—51no—
192C2×#217—52no—
193#937—58no—
194C2×(C2×D3)⋊C4—52no—
195C2×(C2×D3)⋊C4—52no—
196C2×(C2×D3)⋊C4—52no—
197C2×(C2×D3)⋊C4—52no—
198C2×(C2×D3)⋊C4—52no—
199C2×(C2×D3)⋊C4—104no—
200C2×Dic3⋊C4—52no—
201C2×C4×Dic3—52no—
202C3⋊#95—52no—
203C3⋊#95—52no—
204C3⋊#95—52no—
205C24×C5C22×D311yescharacteristic
206C24×C5C22×D311yescharacteristic
207C23×D5—32no—
208C23×D5—34no—
209C23×D5—62no—
210C23×D5—62no—
211C23×D5—122no—
212C23×D5—122no—
213C2×C5×D4—22no—
214C2×C5×D4—22no—
215C2×C5×D4C4×D314yes—
216C22×C4×C5—22no—
217C22×C4×C5—42no—
218C22×C4×C5—42no—
219C22×C4×C5#6714yescomplemented
220C22×C4×C5C22×D311yescharacteristic
221C22×C4×C5C22×D311yescharacteristic
222C22×C4×C5C22×D311yescharacteristic
223C22×C4×C5C22×D311yescharacteristic
224C22×C4×C5C22×D311yescharacteristic
225C2×C22⋊D5—38no—
226C2×C22⋊D5—122no—
227C2×C22⋊D5—122no—
228C22×Dic5—32no—
229C22×Dic5—32no—
230C22×Dic5—32no—
231C22×Dic5—62no—
232C22×Dic5—122no—
233C5×C4⋊C4—22no—
234C5×C22⋊C4—22no—
235C5×C22⋊C4—22no—
236C42×C5—22no—
237C22⋊Dic5—34no—
238C22⋊Dic5—62no—
239C22⋊Dic5—122no—
240#685—38no—
241#685—64no—
242#685—64no—
243#685—122no—
244#685—122no—
245#683—122no—
246C4×Dic5—122no—
247C2×#120—151no—
248C2×C4×D4D1511yescharacteristic, complemented
249C22×C22⋊C4—151no—
250#390—152no—
251#388—152no—
252#388—152no—
253#386—151no—
254#386—152no—
255#385—151no—
256#379—151no—
257C4×C22⋊C4—151no—
258C22×C3×C5—24no—
259C22×C3×C5—22no—
260C22×C3×C5—22no—
261C22×C3×C5—24no—
262C22×C3×C5—22no—
263C22×C3×C5—24no—
264C22×C3×C5—41no—
265C22×C3×C5—41no—
266C22×C3×C5—42no—
267C22×C3×C5C4×D414yes—
268C22×C3×C5C23×C411yescharacteristic
269C22×C3×C5C22×D411yescharacteristic
270C22×C3×C5C2×#4111yescharacteristic
271C22×C3×C5H(5,𝔽2)12yes—
272C22×C3×C5H(5,𝔽2)12yes—
273C2×D15—24no—
274C2×D15—24no—
275C2×D15—24no—
276C2×D15—416no—
277C2×D15—42no—
278C2×D15—42no—
279C2×D15—42no—
280C2×D15—42no—
281C3×C4×C5—22no—
282C3×C4×C5—22no—
283C3×C4×C5—22no—
284C3×C4×C5—41no—
285C3×C4×C5—41no—
286Dic15—24no—
287Dic15—42no—
288Dic15—42no—
289C24×C3C22×D511yescharacteristic
290C24×C3C22×D511yescharacteristic
291C23×D3—52no—
292C23×D3—54no—
293C23×D3—102no—
294C23×D3—102no—
295C23×D3—202no—
296C23×D3—202no—
297C2×C3×D4—22no—
298C2×C3×D4—22no—
299C2×C3×D4C4×D514yes—
300C22×C3×C4—22no—
301C22×C3×C4—42no—
302C22×C3×C4—42no—
303C22×C3×C4C22⋊D514yescomplemented
304C22×C3×C4C22×D511yescharacteristic
305C22×C3×C4C22×D511yescharacteristic
306C22×C3×C4C22×D511yescharacteristic
307C22×C3×C4C22×D511yescharacteristic
308C22×C3×C4C22×D511yescharacteristic
309C2×#67—58no—
310C2×#67—202no—
311C2×#67—202no—
312C22×Dic3—52no—
313C22×Dic3—52no—
314C22×Dic3—52no—
315C22×Dic3—102no—
316C22×Dic3—202no—
317C3×C4⋊C4—22no—
318C3×C22⋊C4—22no—
319C3×C22⋊C4—22no—
320C3×C42—22no—
321#217—54no—
322#217—102no—
323#217—202no—
324(C2×D3)⋊C4—58no—
325(C2×D3)⋊C4—104no—
326(C2×D3)⋊C4—104no—
327(C2×D3)⋊C4—202no—
328(C2×D3)⋊C4—202no—
329Dic3⋊C4—202no—
330C4×Dic3—202no—
331C23×C5—22no—
332C23×C5—22no—
333C23×C5—21no—
334C23×C5—22no—
335C23×C5—22no—
336C23×C5—21no—
337C23×C5C2×C4×D312yes—
338C23×C5C2×C4×D312yes—
339C23×C5#23512yes—
340C23×C5C2×#6712yes—
341C23×C5C23×D311yescharacteristic
342C22×D5—34no—
343C22×D5—68no—
344C22×D5—62no—
345C22×D5—62no—
346C22×D5—62no—
347C22×D5—62no—
348C22×D5—62no—
349C22×D5—62no—
350C22×D5—128no—
351C22×D5—124no—
352C22×D5—128no—
353C22×D5—124no—
354C5×D4—28no—
355C2×C4×C5—21no—
356C2×C4×C5—22no—
357C2×C4×C5—22no—
358C2×C4×C5—21no—
359C2×C4×C5—22no—
360C2×C4×C5—22no—
361C2×C4×C5—21no—
362C2×C4×C5—21no—
363C2×C4×C5—44no—
364C2×C4×C5—44no—
365C2×C4×C5C2×C4×D312yes—
366C2×C4×C5C2×#6712yes—
367C2×C4×C5C2×#6712yes—
368C22⋊D5—128no—
369C2×Dic5—34no—
370C2×Dic5—62no—
371C2×Dic5—62no—
372C2×Dic5—62no—
373C2×Dic5—62no—
374C2×Dic5—62no—
375C2×Dic5—62no—
376C2×Dic5—62no—
377C2×Dic5—62no—
378C2×Dic5—124no—
379C25—151no—
380C22×D4—152no—
381C22×D4C2×D1511yescharacteristic
382C23×C4—151no—
383C23×C4C2×D1511yescharacteristic
384C23×C4C2×D1511yescharacteristic, complemented
385#120—158no—
386C4×D4—24no—
387C2×C4⋊C4—152no—
388C2×C4⋊C4C2×D1511yescharacteristic, complemented
389C2×C22⋊C4—151no—
390C2×C22⋊C4—152no—
391C2×C22⋊C4—151no—
392C2×C22⋊C4—152no—
393C2×C22⋊C4—152no—
394C2×C22⋊C4—152no—
395C2×C22⋊C4—152no—
396C2×C22⋊C4—152no—
397C2×C22⋊C4—304no—
398C2×C22⋊C4C2×D1511yescharacteristic
399C2×C22⋊C4C2×D1511yescharacteristic, complemented
400C2×C42—152no—
401C2×C42C2×D1511yescharacteristic, complemented
402#95—152no—
403#95—152no—
404#95—152no—
405C2×C3×C5—24no—
406C2×C3×C5—42no—
407C2×C3×C5C2×C4×D411yescharacteristic
408C2×C3×C5#51812yes—
409C2×C3×C5#53411yescharacteristic
410C2×C3×C5#53511yescharacteristic
411C2×C3×C5#53812yes—
412D15—44no—
413C23×C3—22no—
414C23×C3—22no—
415C23×C3—21no—
416C23×C3—22no—
417C23×C3—22no—
418C23×C3—21no—
419C23×C3C2×C4×D512yes—
420C23×C3C2×C4×D512yes—
421C23×C3#70912yes—
422C23×C3C2×C22⋊D512yes—
423C23×C3C23×D511yescharacteristic
424C22×D3—54no—
425C22×D3—102no—
426C22×D3—102no—
427C22×D3—102no—
428C22×D3—102no—
429C22×D3—102no—
430C22×D3—102no—
431C22×D3—108no—
432C22×D3—208no—
433C22×D3—204no—
434C22×D3—208no—
435C22×D3—204no—
436C3×D4—28no—
437C2×C3×C4—21no—
438C2×C3×C4—22no—
439C2×C3×C4—22no—
440C2×C3×C4—21no—
441C2×C3×C4—22no—
442C2×C3×C4—22no—
443C2×C3×C4—21no—
444C2×C3×C4—21no—
445C2×C3×C4—44no—
446C2×C3×C4—44no—
447C2×C3×C4C2×C4×D512yes—
448C2×C3×C4C2×C22⋊D512yes—
449C2×C3×C4C2×C22⋊D512yes—
450#67—208no—
451C2×Dic3—54no—
452C2×Dic3—102no—
453C2×Dic3—102no—
454C2×Dic3—102no—
455C2×Dic3—102no—
456C2×Dic3—102no—
457C2×Dic3—102no—
458C2×Dic3—102no—
459C2×Dic3—102no—
460C2×Dic3—204no—
461C22×C5—24no—
462C22×C5—22no—
463C22×C5—24no—
464C22×C5—22no—
465C22×C5—22no—
466C22×C5—24no—
467C22×C5—41no—
468C22×C5—42no—
469C22×C5—41no—
470C22×C5C4×#6714yes—
471C22×C5C22×C4×D311yescharacteristic
472C22×C5C2×#23511yescharacteristic
473C22×C5#100412yes—
474C22×C5#100912yes—
475C22×C5C22×#6711yescharacteristic
476C2×D5—64no—
477C2×D5—64no—
478C2×D5—64no—
479C2×D5—1216no—
480C2×D5—122no—
481C2×D5—122no—
482C2×D5—122no—
483C2×D5—122no—
484C4×C5—22no—
485C4×C5—22no—
486C4×C5—22no—
487C4×C5—41no—
488C4×C5—41no—
489Dic5—64no—
490Dic5—122no—
491Dic5—122no—
492C24—152no—
493C24—154no—
494C24—302no—
495C24—302no—
496C24—602no—
497C24—602no—
498C24C22×D1511yescharacteristic
499C24C22×D1511yescharacteristic
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—158no—
503C2×D4—602no—
504C2×D4—602no—
505C2×D4C4×D1514yes—
506C22×C4—22no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—152no—
510C22×C4—152no—
511C22×C4—152no—
512C22×C4—302no—
513C22×C4—602no—
514C22×C4#122014yescomplemented
515C22×C4C22×D1511yescharacteristic
516C22×C4C22×D1511yescharacteristic
517C22×C4C22×D1511yescharacteristic
518C22×C4C22×D1511yescharacteristic
519C22×C4C22×D1511yescharacteristic
520C4⋊C4—22no—
521C4⋊C4—602no—
522C22⋊C4—22no—
523C22⋊C4—22no—
524C22⋊C4—154no—
525C22⋊C4—158no—
526C22⋊C4—302no—
527C22⋊C4—304no—
528C22⋊C4—304no—
529C22⋊C4—602no—
530C22⋊C4—602no—
531C22⋊C4—602no—
532C42—22no—
533C42—602no—
534C3×C5#232111yescharacteristic, complemented, Hall
535C22×C3—24no—
536C22×C3—22no—
537C22×C3—24no—
538C22×C3—22no—
539C22×C3—22no—
540C22×C3—24no—
541C22×C3—41no—
542C22×C3—42no—
543C22×C3—41no—
544C22×C3C4×C22⋊D514yes—
545C22×C3C22×C4×D511yescharacteristic
546C22×C3C2×#70911yescharacteristic
547C22×C3#414412yes—
548C22×C3#414912yes—
549C22×C3C22×C22⋊D511yescharacteristic
550C2×D3—104no—
551C2×D3—104no—
552C2×D3—104no—
553C2×D3—2016no—
554C2×D3—202no—
555C2×D3—202no—
556C2×D3—202no—
557C2×D3—202no—
558C3×C4—22no—
559C3×C4—22no—
560C3×C4—22no—
561C3×C4—41no—
562C3×C4—41no—
563Dic3—104no—
564Dic3—202no—
565Dic3—202no—
566C2×C5—24no—
567C2×C5—42no—
568C2×C5#554512yes—
569C2×C5#556012yes—
570C2×C5C2×C4×#6711yescharacteristic
571C2×C5#580411yescharacteristic
572C2×C5#583011yescharacteristic
573D5—124no—
574C23—22no—
575C23—22no—
576C23—21no—
577C23—22no—
578C23—22no—
579C23—21no—
580C23—154no—
581C23—308no—
582C23—302no—
583C23—302no—
584C23—302no—
585C23—302no—
586C23—302no—
587C23—302no—
588C23—608no—
589C23—604no—
590C23—608no—
591C23—604no—
592C23C2×C4×D1512yes—
593C23C2×C4×D1512yes—
594C23#681712yes—
595C23C2×#122012yes—
596C23C23×D1511yescharacteristic
597D4—28no—
598D4—608no—
599C2×C4—21no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—21no—
603C2×C4—22no—
604C2×C4—22no—
605C2×C4—21no—
606C2×C4—21no—
607C2×C4—44no—
608C2×C4—44no—
609C2×C4—154no—
610C2×C4—302no—
611C2×C4—302no—
612C2×C4—302no—
613C2×C4—302no—
614C2×C4—302no—
615C2×C4—302no—
616C2×C4—302no—
617C2×C4—302no—
618C2×C4—604no—
619C2×C4C2×C4×D1512yes—
620C2×C4C2×#122012yes—
621C2×C4C2×#122012yes—
622C2×C3—24no—
623C2×C3—42no—
624C2×C3#6587912yes—
625C2×C3#6589412yes—
626C2×C3C2×C4×C22⋊D511yescharacteristic
627C2×C3#6613811yescharacteristic
628C2×C3#6616411yescharacteristic
629D3—204no—
630C5#8239511yescharacteristic, complemented, Sylow
631C22—24no—
632C22—22no—
633C22—24no—
634C22—22no—
635C22—22no—
636C22—24no—
637C22—41no—
638C22—42no—
639C22—41no—
640C22—304no—
641C22—304no—
642C22—304no—
643C22—6016no—
644C22—602no—
645C22—602no—
646C22—602no—
647C22—602no—
648C22C4×#122014yes—
649C22C22×C4×D1511yescharacteristic
650C22C2×#681711yescharacteristic
651C22#9209512yes—
652C22#9210012yes—
653C22C22×#122011yescharacteristic
654C4—22no—
655C4—22no—
656C4—22no—
657C4—41no—
658C4—41no—
659C4—304no—
660C4—602no—
661C4—602no—
662C3#1061412611yescharacteristic, complemented, Sylow
663C2—24no—
664C2—42no—
665C2—604no—
666C2#1175630412yes—
667C2#1175631912yes—
668C2C2×C4×#122011yescharacteristic
669C2#1175656311yescharacteristic
670C2#1175658911yescharacteristic
subgroupG/H
center, FrattiniC23C23×D15
commutatorC22×C3×C5C23×C4
FittingC2×C3×C4×C5×D4C2
socle, cosocleC23×C3×C5C24
prime radicalC2×#91826C2
hypercenterC2×C4×D4D15
hypocenterC3×C5#2321
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×C3×C4×C5×D4C2semidirect
3. C22×#6714C2semidirect
4. #11751321C2semidirect
5. #11751314C2semidirect
6. C4×#6719C2semidirect
7. #11751091C2semidirect
8. #11751058C2semidirect
9. #11751056C2semidirect
10. #11751047C2semidirect
11. #11751041C2semidirect
16. C23×C3×C4×C5C22semidirect
20. C2×C3×C5×C4⋊C4C22semidirect
22. C2×C3×C5×C22⋊C4C22semidirect
23. C2×C3×C42×C5C22semidirect
26. C2×#6719C22semidirect
27. #91826C4semidirect
34. C2×#6712C22semidirect
35. C2×C4×Dic15C22semidirect
36. #91115C22semidirect
37. #91115C22semidirect
38. #91115C22semidirect
40. C2×C4×C5×D4D3semidirect
57. C23×D15C2×C4semidirect
65. C22×C3×C4×C5D4semidirect
73. C2×#1220C2×C4semidirect
85. #6719C2×C4semidirect
90. #6714C2×C4semidirect
93. C2×C3×C4×D4D5semidirect
107. C23×C4×C5C2×D3semidirect
111. C2×C5×C4⋊C4C2×D3semidirect
113. C2×C5×C22⋊C4C2×D3semidirect
114. C2×C42×C5C2×D3semidirect
182. C23×C3×C4C2×D5semidirect
186. C2×C3×C4⋊C4C2×D5semidirect
188. C2×C3×C22⋊C4C2×D5semidirect
189. C2×C3×C42C2×D5semidirect
219. C22×C4×C5#67semidirect
248. C2×C4×D4D15semidirect
303. C22×C3×C4C22⋊D5semidirect
384. C23×C4C2×D15semidirect
388. C2×C4⋊C4C2×D15semidirect
399. C2×C22⋊C4C2×D15semidirect
401. C2×C42C2×D15semidirect
514. C22×C4#1220semidirect
534. C3×C5#2321semidirect
630. C5#82395semidirect
662. C3#10614126semidirect

Maximal subgroups

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

subgroupindex
C2×C3×C4×C5×D42
C2×#918262
C22×#67142
#117513212
#117513142
C4×#67192
#117510912
#117510582
#117510562
#117510472
#117510412
#106141263
#823955