Finite Group Databasebeta

← #14319941

Subgroups — #14319941

Order 1920.

2176 conjugacy classes of subgroups.

The subgroup lattice has 704 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C4×D3×D5C211yesmaximal, characteristic
2C2×C3×#4018C211yesmaximal, characteristic, complemented
3C2×#91357C211yesmaximal, characteristic, complemented
4C4×#6714C211yesmaximal, characteristic, complemented
5C4×C5×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
6#11748940C212yesmaximal
7#11748876C212yesmaximal, complemented
8#11748874C212yesmaximal, complemented
9#11748871C212yesmaximal, complemented
10C4×#6667C211yesmaximal, characteristic, complemented
11C4×(C2×D3)⋊Dic5C211yesmaximal, characteristic, complemented
12#10605292—31nomaximal, Hall
13C23×D3×D5C2211yescharacteristic
14C22×C4×D15C2211yescharacteristic
15C22×C4×C5×D3C2211yescharacteristic
16C22×C3×C4×D5C2211yescharacteristic
17C22×#1200C2211yescharacteristic
18C22×D3×Dic5C2211yescharacteristic
19C22×D5×Dic3C2211yescharacteristic
20C2×C4×D3×D5—24no—
21C2×C4×D3×D5—24no—
22C2×C4×D3×D5C418yescomplemented
23C2×C3×C42×C5C2211yescharacteristic, complemented
24C2×#6714C2212yes—
25C2×C4×Dic15C2211yescharacteristic, complemented
26C2×C5×(C2×D3)⋊C4C2212yes—
27C2×C4×C5×Dic3C2211yescharacteristic, complemented
28C2×C3×#685C2212yes—
29C2×C3×#683C2212yescomplemented
30C2×C3×C4×Dic5C2211yescharacteristic, complemented
31C3×#4018—24no—
32C2×#6668C2212yescomplemented
33C2×#6667C2212yes—
34C2×(C2×D3)⋊Dic5C2212yes—
35C2×#6665C2212yes—
36#91357—24no—
37#91115C2212yescomplemented
38C5×C3⋊#95C2212yescomplemented
39#90994C2212yescomplemented
40#90994C2212yescomplemented
41#82267—51nomaximal, Hall
42C23×C4×D5—31no—
43C2×#4018—31no—
44C2×#4018D311yescharacteristic, complemented
45C4×C5×C22⋊C4—31no—
46C4×C22⋊Dic5—31no—
47#65244—32no—
48#65231—32no—
49C4×#685—31no—
50C4×#685—31no—
51#64956—32no—
52#64953—32no—
53C23×D15C2311yescharacteristic
54C23×C5×D3C2311yescharacteristic
55C23×C3×D5C2311yescharacteristic
56C22×D3×D5—24no—
57C22×D3×D5—24no—
58C22×D3×D5—22no—
59C22×D3×D5—22no—
60C22×D3×D5C2×C414yes—
61C22×C3×C4×C5C2312yes—
62C22×C3×C4×C5C2311yescharacteristic
63C22×Dic15C2312yes—
64C22×Dic15C2311yescharacteristic
65C2×C4×D15—22no—
66C2×C4×D15—22no—
67C2×C4×D15C2×C414yes—
68C22×C5×Dic3C2312yes—
69C22×C5×Dic3C2311yescharacteristic
70C2×C4×C5×D3—22no—
71C2×C4×C5×D3—22no—
72C2×C4×C5×D3C2×C414yes—
73C22×C3×Dic5C2312yes—
74C22×C3×Dic5C2311yescharacteristic
75C2×C3×C4×D5C2×C414yes—
76C2×C3×C4×D5D414yes—
77C2×C3×C4×D5D414yes—
78C2×#1200—22no—
79C2×#1200—22no—
80C2×#1200C2×C414yes—
81C2×D3×Dic5—22no—
82C2×D3×Dic5—22no—
83C2×D3×Dic5C2×C414yes—
84C2×D5×Dic3—22no—
85C2×D5×Dic3—22no—
86C2×D5×Dic3C2×C414yes—
87C4×D3×D5—232no—
88C3×C42×C5—22no—
89#6714—24no—
90C4×Dic15—22no—
91C5×(C2×D3)⋊C4—24no—
92C4×C5×Dic3—22no—
93C3×#685—24no—
94C3×#683—24no—
95C3×C4×Dic5—22no—
96#6668—24no—
97#6667—24no—
98(C2×D3)⋊Dic5—24no—
99#6665—24no—
100C23×C4×D3—51no—
101C2×C3×#117—51no—
102C2×#926—51no—
103#4987—52no—
104#4987—52no—
105#4955—52no—
106#4943—52no—
107C4×(C2×D3)⋊C4—51no—
108C4×(C2×D3)⋊C4—51no—
109C4×(C2×D3)⋊C4—51no—
110C4×(C2×D3)⋊C4D511yescharacteristic, complemented
111C24×D5—31no—
112C23×C4×C5—31no—
113C23×Dic5—31no—
114C22×C4×D5—31no—
115C22×C4×D5—31no—
116C22×C4×D5—31no—
117C22×C4×D5—38no—
118C22×C4×D5—64no—
119C22×C4×D5—64no—
120C22×C4×D5C2×D311yescharacteristic
121C2×C5×C22⋊C4—32no—
122C2×C42×C5—31no—
123C2×C42×C5C2×D311yescharacteristic, complemented
124C2×C22⋊Dic5—32no—
125C2×#685—32no—
126C2×#685—32no—
127C2×#685—32no—
128C2×#685C2×D312yes—
129C2×#683—32no—
130C2×#683C2×D312yescomplemented
131C2×C4×Dic5—31no—
132C2×C4×Dic5C2×D311yescharacteristic, complemented
133#4018—24no—
134#4018—64no—
135C5×#95—32no—
136#3963—32no—
137#3963—32no—
138#3963—32no—
139#2280—151noSylow
140C23×C3×C5C2411yescharacteristic
141C22×D15—21no—
142C22×D15—21no—
143C22×D15—22no—
144C22×D15C22×C412yes—
145C22×D15#4114yes—
146C22×C5×D3—21no—
147C22×C5×D3—21no—
148C22×C5×D3—22no—
149C22×C5×D3C22×C412yes—
150C22×C5×D3#4114yes—
151C22×C3×D5—22no—
152C22×C3×D5—22no—
153C22×C3×D5C22×C412yes—
154C22×C3×D5C2×D412yes—
155C22×C3×D5C2×D412yes—
156C2×D3×D5—216no—
157C2×D3×D5—216no—
158C2×D3×D5—28no—
159C2×D3×D5—28no—
160C2×D3×D5—28no—
161C2×C3×C4×C5—22no—
162C2×C3×C4×C5—22no—
163C2×C3×C4×C5—22no—
164C2×C3×C4×C5C22×C412yes—
165C2×C3×C4×C5C2×D412yes—
166C2×C3×C4×C5C2×D412yes—
167C2×Dic15—21no—
168C2×Dic15—21no—
169C2×Dic15—22no—
170C2×Dic15—22no—
171C2×Dic15—22no—
172C2×Dic15C22×C412yes—
173C4×D15—28no—
174C2×C5×Dic3—21no—
175C2×C5×Dic3—21no—
176C2×C5×Dic3—22no—
177C2×C5×Dic3—22no—
178C2×C5×Dic3—22no—
179C2×C5×Dic3C22×C412yes—
180C4×C5×D3—28no—
181C2×C3×Dic5—22no—
182C2×C3×Dic5—22no—
183C2×C3×Dic5—22no—
184C2×C3×Dic5C22×C412yes—
185C2×C3×Dic5C2×D412yes—
186C2×C3×Dic5C2×D412yes—
187C3×C4×D5C22⋊C4116yescomplemented
188#1200—28no—
189D3×Dic5—28no—
190D5×Dic3—28no—
191C24×D3—51no—
192C23×C3×C4—51no—
193C23×Dic3—51no—
194C22×C4×D3—51no—
195C22×C4×D3—51no—
196C22×C4×D3—51no—
197C22×C4×D3—58no—
198C22×C4×D3—104no—
199C22×C4×D3—104no—
200C22×C4×D3C2×D511yescharacteristic
201C3×#117—104no—
202C2×C3×C4⋊C4—52no—
203C2×C3×C22⋊C4—52no—
204C2×C3×C42—51no—
205C2×C3×C42C2×D511yescharacteristic, complemented
206C2×#217—52no—
207C2×(C2×D3)⋊C4—52no—
208C2×(C2×D3)⋊C4—52no—
209C2×(C2×D3)⋊C4—52no—
210C2×(C2×D3)⋊C4C2×D512yes—
211#926—104no—
212C2×C4⋊Dic3—52no—
213C2×C4×Dic3—51no—
214C2×C4×Dic3C2×D511yescharacteristic, complemented
215C3⋊#95—52no—
216C3⋊#95—52no—
217C3⋊#95—52no—
218C3⋊#95C2×D512yescomplemented
219C24×C5—31no—
220C23×D5—31no—
221C23×D5—34no—
222C23×D5—64no—
223C23×D5—64no—
224C23×D5—62no—
225C23×D5—62no—
226C23×D5C22×D311yescharacteristic
227C22×C4×C5—31no—
228C22×C4×C5—34no—
229C22×C4×C5—32no—
230C22×C4×C5—62no—
231C22×C4×C5—62no—
232C22×C4×C5C22×D312yes—
233C22×C4×C5C22×D311yescharacteristic
234C22×Dic5—31no—
235C22×Dic5—34no—
236C22×Dic5—32no—
237C22×Dic5—62no—
238C22×Dic5—62no—
239C22×Dic5C22×D312yes—
240C22×Dic5C22×D311yescharacteristic
241C2×C4×D5—34no—
242C2×C4×D5—34no—
243C2×C4×D5—34no—
244C2×C4×D5—62no—
245C2×C4×D5—62no—
246C2×C4×D5—62no—
247C2×C4×D5—62no—
248C2×C4×D5—62no—
249C2×C4×D5—62no—
250C2×C4×D5—632no—
251C2×C4×D5C4×D314yes—
252C2×C4×D5D1214yes—
253C2×C4×D5#6714yes—
254C5×C22⋊C4—64no—
255C42×C5—22no—
256C42×C5—62no—
257C22⋊Dic5—64no—
258#685—24no—
259#685—64no—
260#685—64no—
261#685—64no—
262#683—24no—
263#683—64no—
264C4×Dic5—22no—
265C4×Dic5—62no—
266C24×C4—151no—
267C2×#117—51no—
268C2×#117—151no—
269#381—152no—
270#380—152no—
271#380—152no—
272#379—152no—
273C4×C22⋊C4—31no—
274C4×C22⋊C4—151no—
275C4×C22⋊C4—151no—
276C4×C22⋊C4—151no—
277C22×C3×C5C23×C411yescharacteristic
278C22×C3×C5C22×D411yescharacteristic
279C22×C3×C5C22×D411yescharacteristic
280C22×C3×C5C2×#4112yes—
281C22×C3×C5C2×#4112yes—
282C2×D15—22no—
283C2×D15—22no—
284C2×D15—24no—
285C2×D15—24no—
286C2×D15#11714yescomplemented
287C2×C5×D3—22no—
288C2×C5×D3—22no—
289C2×C5×D3—24no—
290C2×C5×D3—24no—
291C2×C5×D3#11714yescomplemented
292C2×C3×D5—22no—
293C2×C3×D5—22no—
294C2×C3×D5—24no—
295C2×C3×D5—24no—
296C2×C3×D5C2×C22⋊C414yes—
297D3×D5—232no—
298C3×C4×C5—42no—
299C3×C4×C5C2×C22⋊C414yes—
300Dic15—22no—
301Dic15—42no—
302C3×Dic5—42no—
303C3×Dic5C2×C22⋊C414yes—
304C5×Dic3—22no—
305C5×Dic3—42no—
306C24×C3—51no—
307C23×D3—51no—
308C23×D3—54no—
309C23×D3—104no—
310C23×D3—102no—
311C23×D3—102no—
312C23×D3—104no—
313C23×D3C22×D511yescharacteristic
314C22×C3×C4—51no—
315C22×C3×C4—54no—
316C22×C3×C4—54no—
317C22×C3×C4—54no—
318C22×C3×C4—52no—
319C22×C3×C4C22×D512yes—
320C22×C3×C4C22×D511yescharacteristic
321C22×Dic3—51no—
322C22×Dic3—54no—
323C22×Dic3—52no—
324C22×Dic3—102no—
325C22×Dic3—102no—
326C22×Dic3C22×D512yes—
327C22×Dic3C22×D511yescharacteristic
328C2×C4×D3—22no—
329C2×C4×D3—22no—
330C2×C4×D3—54no—
331C2×C4×D3—54no—
332C2×C4×D3—54no—
333C2×C4×D3—1032no—
334C2×C4×D3—102no—
335C2×C4×D3—102no—
336C2×C4×D3—102no—
337C2×C4×D3—102no—
338C2×C4×D3—102no—
339C2×C4×D3—102no—
340C2×C4×D3C4×D514yes—
341C3×C4⋊C4—104no—
342C3×C22⋊C4—104no—
343C3×C42—22no—
344C3×C42—102no—
345#217—104no—
346(C2×D3)⋊C4—24no—
347(C2×D3)⋊C4—104no—
348(C2×D3)⋊C4—104no—
349(C2×D3)⋊C4—104no—
350C4⋊Dic3—104no—
351C4×Dic3—22no—
352C4×Dic3—102no—
353C23×C5—32no—
354C23×C5—34no—
355C23×C5—61no—
356C23×C5—62no—
357C23×C5—61no—
358C23×C5C23×D311yescharacteristic
359C22×D5—22no—
360C22×D5—22no—
361C22×D5—32no—
362C22×D5—34no—
363C22×D5—68no—
364C22×D5—68no—
365C22×D5—616no—
366C22×D5—616no—
367C22×D5—61no—
368C22×D5—62no—
369C22×D5—61no—
370C22×D5—68no—
371C22×D5C2×C4×D312yes—
372C22×D5C2×D1212yes—
373C22×D5C2×#6712yes—
374C2×C4×C5—22no—
375C2×C4×C5—22no—
376C2×C4×C5—22no—
377C2×C4×C5—32no—
378C2×C4×C5—61no—
379C2×C4×C5—61no—
380C2×C4×C5—68no—
381C2×C4×C5—62no—
382C2×C4×C5—62no—
383C2×C4×C5—62no—
384C2×C4×C5C2×C4×D312yes—
385C2×C4×C5C2×D1212yes—
386C2×C4×C5C2×#6712yes—
387C2×Dic5—22no—
388C2×Dic5—22no—
389C2×Dic5—22no—
390C2×Dic5—32no—
391C2×Dic5—61no—
392C2×Dic5—61no—
393C2×Dic5—68no—
394C2×Dic5—62no—
395C2×Dic5—62no—
396C2×Dic5—62no—
397C2×Dic5C2×C4×D312yes—
398C2×Dic5C2×D1212yes—
399C2×Dic5C2×#6712yes—
400C4×D5—68no—
401C4×D5—68no—
402C4×D5—68no—
403C4×D5(C2×D3)⋊C4116yescomplemented
404C25—151no—
405C23×C4—31no—
406C23×C4—51no—
407C23×C4—151no—
408C23×C4—158no—
409C23×C4—151no—
410C23×C4—151no—
411C23×C4—151no—
412C23×C4—304no—
413C23×C4—304no—
414#117—104no—
415#117—304no—
416C2×C4⋊C4—52no—
417C2×C4⋊C4—152no—
418C2×C22⋊C4—32no—
419C2×C22⋊C4—52no—
420C2×C22⋊C4—152no—
421C2×C22⋊C4—152no—
422C2×C22⋊C4—152no—
423C2×C22⋊C4—152no—
424C2×C42—31no—
425C2×C42—51no—
426C2×C42—151no—
427C2×C42D3×D511yescharacteristic, complemented
428#95—32no—
429#95—152no—
430#95—152no—
431#95—152no—
432C2×C3×C5C22×C22⋊C411yescharacteristic
433C2×C3×C5C2×#11711yescharacteristic
434C2×C3×C5C2×#11711yescharacteristic
435C2×C3×C5#52512yes—
436C2×C3×C5#52512yes—
437D15—24no—
438C3×D5—24no—
439C5×D3—24no—
440C23×C3—52no—
441C23×C3—52no—
442C23×C3—52no—
443C23×C3—102no—
444C23×C3—102no—
445C23×C3C23×D511yescharacteristic
446C22×D3—21no—
447C22×D3—21no—
448C22×D3—22no—
449C22×D3—52no—
450C22×D3—54no—
451C22×D3—108no—
452C22×D3—108no—
453C22×D3—1016no—
454C22×D3—1016no—
455C22×D3—102no—
456C22×D3—101no—
457C22×D3—101no—
458C22×D3—108no—
459C22×D3C2×C4×D512yes—
460C22×D3#70914yes—
461C2×C3×C4—22no—
462C2×C3×C4—22no—
463C2×C3×C4—22no—
464C2×C3×C4—52no—
465C2×C3×C4—52no—
466C2×C3×C4—52no—
467C2×C3×C4—516no—
468C2×C3×C4—102no—
469C2×C3×C4—102no—
470C2×C3×C4—102no—
471C2×C3×C4C2×C4×D512yes—
472C2×C3×C4D4×D512yes—
473C2×C3×C4D4×D512yes—
474C2×Dic3—21no—
475C2×Dic3—21no—
476C2×Dic3—22no—
477C2×Dic3—22no—
478C2×Dic3—22no—
479C2×Dic3—52no—
480C2×Dic3—108no—
481C2×Dic3—101no—
482C2×Dic3—101no—
483C2×Dic3—102no—
484C2×Dic3—102no—
485C2×Dic3—102no—
486C2×Dic3C2×C4×D512yes—
487C4×D3—28no—
488C4×D3—108no—
489C4×D3—108no—
490C4×D3—108no—
491C22×C5—34no—
492C22×C5—62no—
493C22×C5—64no—
494C22×C5—62no—
495C22×C5—64no—
496C22×C5C22×C4×D311yescharacteristic
497C22×C5C22×D1211yescharacteristic
498C22×C5D3×#4112yes—
499C22×C5D3×#4112yes—
500C22×C5C22×#6711yescharacteristic
501C2×D5—22no—
502C2×D5—22no—
503C2×D5—24no—
504C2×D5—24no—
505C2×D5—34no—
506C2×D5—632no—
507C2×D5—62no—
508C2×D5—64no—
509C2×D5—62no—
510C2×D5—64no—
511C2×D5C2×(C2×D3)⋊C414yes—
512C4×C5—42no—
513C4×C5—62no—
514C4×C5—122no—
515C4×C5C2×(C2×D3)⋊C414yes—
516Dic5—42no—
517Dic5—62no—
518Dic5—122no—
519Dic5C2×(C2×D3)⋊C414yes—
520C24—31no—
521C24—51no—
522C24—154no—
523C24—151no—
524C24—304no—
525C24—302no—
526C24—302no—
527C24—304no—
528C22×C4—31no—
529C22×C4—34no—
530C22×C4—32no—
531C22×C4—51no—
532C22×C4—54no—
533C22×C4—54no—
534C22×C4—54no—
535C22×C4—52no—
536C22×C4—62no—
537C22×C4—62no—
538C22×C4—154no—
539C22×C4—154no—
540C22×C4—154no—
541C22×C4—151no—
542C22×C4—154no—
543C22×C4—152no—
544C22×C4—302no—
545C22×C4—302no—
546C22×C4—3032no—
547C22×C4—302no—
548C22×C4—302no—
549C22×C4—302no—
550C22×C4—302no—
551C22×C4—302no—
552C22×C4—302no—
553C22×C4C2×D3×D512yes—
554C22×C4C2×D3×D511yescharacteristic
555C4⋊C4—104no—
556C4⋊C4—304no—
557C22⋊C4—64no—
558C22⋊C4—104no—
559C22⋊C4—304no—
560C22⋊C4—304no—
561C22⋊C4—304no—
562C22⋊C4—304no—
563C42—22no—
564C42—62no—
565C42—102no—
566C42—302no—
567C3×C5#228011yescharacteristic, complemented, Hall
568C22×C3—54no—
569C22×C3—102no—
570C22×C3—102no—
571C22×C3—104no—
572C22×C3—104no—
573C22×C3C22×C4×D511yescharacteristic
574C22×C3C2×#70912yes—
575C22×C3C2×D4×D511yescharacteristic
576C22×C3C2×D4×D511yescharacteristic
577C22×C3D5×#4112yes—
578C2×D3—22no—
579C2×D3—22no—
580C2×D3—24no—
581C2×D3—24no—
582C2×D3—54no—
583C2×D3—1032no—
584C2×D3—102no—
585C2×D3—102no—
586C2×D3—104no—
587C2×D3—104no—
588C2×D3#401814yescomplemented
589C3×C4—42no—
590C3×C4—54no—
591C3×C4—202no—
592C3×C4D5×C22⋊C414yes—
593Dic3—22no—
594Dic3—42no—
595Dic3—102no—
596Dic3—202no—
597C2×C5—64no—
598C2×C5D3×#11711yescharacteristic
599C2×C5D3×#11711yescharacteristic
600C2×C5#552412yes—
601C2×C5C22×(C2×D3)⋊C411yescharacteristic
602C2×C5#582812yes—
603D5—24no—
604D5—64no—
605C23—32no—
606C23—34no—
607C23—52no—
608C23—52no—
609C23—52no—
610C23—61no—
611C23—62no—
612C23—61no—
613C23—102no—
614C23—102no—
615C23—152no—
616C23—154no—
617C23—308no—
618C23—308no—
619C23—308no—
620C23—3016no—
621C23—3016no—
622C23—301no—
623C23—302no—
624C23—301no—
625C23C22×D3×D511yescharacteristic
626C2×C4—22no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—32no—
630C2×C4—52no—
631C2×C4—52no—
632C2×C4—52no—
633C2×C4—516no—
634C2×C4—61no—
635C2×C4—61no—
636C2×C4—68no—
637C2×C4—62no—
638C2×C4—62no—
639C2×C4—62no—
640C2×C4—102no—
641C2×C4—102no—
642C2×C4—102no—
643C2×C4—152no—
644C2×C4—308no—
645C2×C4—308no—
646C2×C4—308no—
647C2×C4—301no—
648C2×C4—301no—
649C2×C4—308no—
650C2×C4—302no—
651C2×C4—302no—
652C2×C4—302no—
653C2×C4C4×D3×D512yes—
654C2×C4D5×D1212yes—
655C2×C4D5×#6712yes—
656C2×C3—104no—
657C2×C3C2×#401811yescharacteristic
658C2×C3C2×D5×C22⋊C411yescharacteristic
659C2×C3D5×#11711yescharacteristic
660C2×C3#6588112yes—
661C2×C3#6588112yes—
662D3—24no—
663D3—104no—
664C5#8226711yescharacteristic, complemented, Sylow
665C22—34no—
666C22—54no—
667C22—62no—
668C22—64no—
669C22—62no—
670C22—64no—
671C22—102no—
672C22—102no—
673C22—104no—
674C22—104no—
675C22—154no—
676C22—3032no—
677C22—302no—
678C22—304no—
679C22—302no—
680C22—304no—
681C22C2×C4×D3×D511yescharacteristic
682C22C2×D5×D1211yescharacteristic
683C22D3×#70912yes—
684C22#9201612yes—
685C22C2×D5×#6711yescharacteristic
686C4—42no—
687C4—54no—
688C4—62no—
689C4—122no—
690C4—202no—
691C4—302no—
692C4—602no—
693C4D5×(C2×D3)⋊C414yes—
694C3#1060529211yescharacteristic, complemented, Sylow
695C2—64no—
696C2—104no—
697C2—304no—
698C2D3×#401811yescharacteristic
699C2#1175272311yescharacteristic
700C2#1175273012yes—
701C2C2×D5×(C2×D3)⋊C411yescharacteristic
702C2#1175463112yes—
subgroupG/H
centerC22×C4C2×D3×D5
commutatorC22×C3×C5C23×C4
FrattiniC23C22×D3×D5
FittingC2×C3×C42×C5C22
socle, cosocleC23×C3×C5C24
prime radicalC23×D3×D5C22
hypercenterC2×C42D3×D5
hypocenterC3×C5#2280
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22×C4 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
2. C2×C3×#4018C2semidirect
3. C2×#91357C2semidirect
4. C4×#6714C2semidirect
5. C4×C5×(C2×D3)⋊C4C2semidirect
7. #11748876C2semidirect
8. #11748874C2semidirect
9. #11748871C2semidirect
10. C4×#6667C2semidirect
11. C4×(C2×D3)⋊Dic5C2semidirect
22. C2×C4×D3×D5C4semidirect
23. C2×C3×C42×C5C22semidirect
25. C2×C4×Dic15C22semidirect
27. C2×C4×C5×Dic3C22semidirect
29. C2×C3×#683C22semidirect
30. C2×C3×C4×Dic5C22semidirect
32. C2×#6668C22semidirect
37. #91115C22semidirect
38. C5×C3⋊#95C22semidirect
39. #90994C22semidirect
40. #90994C22semidirect
44. C2×#4018D3semidirect
110. C4×(C2×D3)⋊C4D5semidirect
123. C2×C42×C5C2×D3semidirect
130. C2×#683C2×D3semidirect
132. C2×C4×Dic5C2×D3semidirect
187. C3×C4×D5C22⋊C4semidirect
205. C2×C3×C42C2×D5semidirect
214. C2×C4×Dic3C2×D5semidirect
218. C3⋊#95C2×D5semidirect
286. C2×D15#117semidirect
291. C2×C5×D3#117semidirect
403. C4×D5(C2×D3)⋊C4semidirect
427. C2×C42D3×D5semidirect
567. C3×C5#2280semidirect
588. C2×D3#4018semidirect
664. C5#82267semidirect
694. C3#10605292semidirect

Maximal subgroups

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

subgroupindex
C22×C4×D3×D52
C2×C3×#40182
C2×#913572
C4×#67142
C4×C5×(C2×D3)⋊C42
#117489402
#117488762
#117488742
#117488712
C4×#66672
C4×(C2×D3)⋊Dic52
#106052923
#822675