Finite Group Databasebeta

← #14323437

Subgroups — #14323437

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×C4×#1220C211yesmaximal, characteristic, complemented
2C22×C5×(C2×D3)⋊C4C211yesmaximal, characteristic, complemented
3C2×#91570C211yesmaximal, characteristic
4C3×C4×C22⋊Dic5C211yesmaximal, characteristic, complemented
5#11749511C211yesmaximal, characteristic, complemented
6#11749498C211yesmaximal, characteristic, complemented
7#11749496C211yesmaximal, characteristic, complemented
8#11748918C212yesmaximal, complemented
9#11748908C212yesmaximal, complemented
10#11748724C212yesmaximal, complemented
11#11748715C212yesmaximal, complemented
12#10613827—31nomaximal, Hall
13C24×C5×D3C2211yescharacteristic
14C23×C3×C4×C5C2211yescharacteristic
15C22×#1220C2211yescharacteristic
16C22×C4×D15C2211yescharacteristic, complemented
17C23×C5×Dic3C2211yescharacteristic
18C22×#1203C2212yes—
19C2×#6719C2211yescharacteristic
20C4×#1220—24no—
21C2×#6714C2211yescharacteristic, complemented
22C2×#6712C2211yescharacteristic, complemented
23C2×C4×Dic15C2211yescharacteristic, complemented
24C2×C5×(C2×D3)⋊C4—24no—
25C2×C5×(C2×D3)⋊C4C2212yes—
26C2×C5×(C2×D3)⋊C4C2212yes—
27C2×C3×C22⋊Dic5C2211yescharacteristic
28C2×C3×C22⋊Dic5C2211yescharacteristic
29C2×C3×C4×Dic5C2212yescomplemented
30#91570C418yescomplemented
31C2×#6668C2212yescomplemented
32C2×#6667C2212yescomplemented
33C2×(C2×D3)⋊Dic5C2212yes—
34C2×(C2×D3)⋊Dic5C2212yes—
35C2×(C2×D3)⋊Dic5C2212yes—
36C3×#3963C2212yescomplemented
37#90994C2212yescomplemented
38#90994C2212yescomplemented
39#73569—51nomaximal, Hall
40C22×C5×C22⋊C4—31no—
41C2×#4099—31no—
42C2×C4×C22⋊D5—31no—
43#65536—31no—
44#65502—31no—
45#65499—31no—
46C4×C22⋊Dic5D311yescharacteristic, complemented
47#65246—32no—
48#65245—32no—
49#65234—32no—
50#65233—32no—
51C24×C3×C5C2311yescharacteristic
52C23×D15C2311yescharacteristic
53C23×C5×D3—22no—
54C23×C5×D3—22no—
55C23×C5×D3—42no—
56C23×C5×D3—42no—
57C23×C5×D3C2×C414yescomplemented
58C23×C5×D3C2312yes—
59C22×C3×C4×C5—42no—
60C22×C3×C4×C5D414yescomplemented
61C22×C3×C4×C5C2311yescharacteristic
62C22×C3×C4×C5C2311yescharacteristic
63C2×#1220—22no—
64C2×#1220—22no—
65C2×#1220C2×C414yes—
66C22×Dic15C2311yescharacteristic
67C22×Dic15C2311yescharacteristic
68C22×Dic15C2311yescharacteristic
69C2×C4×D15—22no—
70C2×C4×D15—42no—
71C22×C5×Dic3—22no—
72C22×C5×Dic3—42no—
73C22×C5×Dic3C2312yes—
74C22×C3×Dic5C2312yes—
75C22×C3×Dic5C2312yes—
76C2×#1203—42no—
77C2×#1203—42no—
78C2×#1203C2×C418yescomplemented
79#6719—22no—
80#6714—22no—
81#6712—22no—
82C4×Dic15—22no—
83C5×(C2×D3)⋊C4—24no—
84C5×(C2×D3)⋊C4—24no—
85C3×C22⋊Dic5—22no—
86C3×C22⋊Dic5C2×C414yescomplemented
87C3×C4×Dic5—42no—
88#6668—42no—
89#6667—42no—
90(C2×D3)⋊Dic5—42no—
91(C2×D3)⋊Dic5—42no—
92(C2×D3)⋊Dic5C2×C418yescomplemented
93C2×C4×#67—51no—
94C22×(C2×D3)⋊C4D511yescharacteristic, complemented
95C2×#882—51no—
96C3×C4×C22⋊C4—51no—
97#4958—51no—
98#4955—51no—
99#4950—51no—
100#4940—52no—
101#4939—52no—
102#4670—52no—
103#4665—52no—
104C25×C5—31no—
105C23×C4×C5—31no—
106C23×C4×C5C2×D311yescharacteristic
107C22×C22⋊D5—31no—
108C22×C22⋊D5—32no—
109C22×C4×D5—31no—
110C2×C5×C22⋊C4—32no—
111C2×C5×C22⋊C4—32no—
112C2×C5×C22⋊C4—64no—
113#4099—38no—
114C2×C22⋊Dic5—32no—
115C2×C22⋊Dic5—31no—
116C2×C22⋊Dic5—32no—
117C2×C22⋊Dic5—32no—
118C2×C22⋊Dic5C2×D311yescharacteristic
119C2×C22⋊Dic5C2×D311yescharacteristic
120C4×C22⋊D5—64no—
121C2×#685—31no—
122C2×#685—32no—
123C2×#683—31no—
124C2×#683—32no—
125C2×C4×Dic5—31no—
126C2×C4×Dic5C2×D312yescomplemented
127#3963—32no—
128#3963—32no—
129#3963C2×D312yescomplemented
130#2321—151noSylow
131C23×C3×C5—22no—
132C23×C3×C5—22no—
133C23×C3×C5C22×C412yes—
134C23×C3×C5C2×D412yes—
135C23×C3×C5#4112yes—
136C23×C3×C5C2411yescharacteristic
137C22×D15—21no—
138C22×D15—21no—
139C22×D15—22no—
140C22×D15—22no—
141C22×D15C22×C412yes—
142C22×C5×D3—28no—
143C22×C5×D3—22no—
144C22×C5×D3—22no—
145C22×C5×D3—22no—
146C22×C5×D3—22no—
147C22×C5×D3—22no—
148C22×C5×D3—22no—
149C22×C5×D3—48no—
150C22×C5×D3—44no—
151C22×C5×D3—44no—
152C22×C5×D3—48no—
153C22×C5×D3C22×C414yes—
154C2×C3×C4×C5—22no—
155C2×C3×C4×C5—22no—
156C2×C3×C4×C5—44no—
157C2×C3×C4×C5C2×D412yes—
158C2×C3×C4×C5C2×D412yes—
159#1220—28no—
160C2×Dic15—21no—
161C2×Dic15—21no—
162C2×Dic15—21no—
163C2×Dic15—21no—
164C2×Dic15—22no—
165C2×Dic15—22no—
166C2×Dic15C22×C412yes—
167C4×D15—44no—
168C2×C5×Dic3—22no—
169C2×C5×Dic3—22no—
170C2×C5×Dic3—22no—
171C2×C5×Dic3—44no—
172C2×C3×Dic5—22no—
173C2×C3×Dic5—22no—
174C2×C3×Dic5—22no—
175C2×C3×Dic5—22no—
176C2×C3×Dic5—22no—
177C2×C3×Dic5C22×C414yes—
178#1203—48no—
179C24×D3C2×D511yescharacteristic
180C23×C3×C4C2×D511yescharacteristic
181C22×#67—51no—
182C23×Dic3C2×D511yescharacteristic
183C22×D12—52no—
184C22×C4×D3—51no—
185C2×C3×C22⋊C4—51no—
186C2×C3×C22⋊C4—51no—
187C2×C3×C42—52no—
188C2×#217—51no—
189C4×#67—104no—
190C2×(C2×D3)⋊C4—24no—
191C2×(C2×D3)⋊C4—52no—
192C2×(C2×D3)⋊C4—51no—
193C2×(C2×D3)⋊C4—52no—
194C2×(C2×D3)⋊C4—52no—
195C2×(C2×D3)⋊C4—52no—
196C2×(C2×D3)⋊C4C2×D512yes—
197C2×(C2×D3)⋊C4C2×D512yes—
198C2×C4⋊Dic3—52no—
199C2×Dic3⋊C4—51no—
200C2×C4×Dic3—51no—
201#882—58no—
202C3×#95—52no—
203C3⋊#95—52no—
204C3⋊#95—52no—
205C24×C5—32no—
206C24×C5—34no—
207C24×C5—62no—
208C24×C5—62no—
209C24×C5—122no—
210C24×C5—122no—
211C24×C5C22×D311yescharacteristic
212C23×D5—31no—
213C22×C4×C5—32no—
214C22×C4×C5—42no—
215C22×C4×C5—62no—
216C22×C4×C5—122no—
217C22×C4×C5D1214yescomplemented
218C22×C4×C5C22×D311yescharacteristic
219C22×C4×C5C22×D311yescharacteristic
220C2×C22⋊D5—34no—
221C2×C22⋊D5—38no—
222C2×C22⋊D5—62no—
223C2×C22⋊D5—62no—
224C2×C22⋊D5—122no—
225C2×C22⋊D5—122no—
226C22×Dic5—31no—
227C22×Dic5—31no—
228C22×Dic5—31no—
229C22×Dic5C22×D312yes—
230C22×Dic5C22×D312yes—
231C2×C4×D5—62no—
232C2×C4×D5—122no—
233C5×C22⋊C4—64no—
234C5×C22⋊C4—64no—
235C22⋊Dic5—22no—
236C22⋊Dic5—38no—
237C22⋊Dic5—62no—
238C22⋊Dic5—122no—
239C22⋊Dic5—122no—
240C22⋊Dic5C4×D314yescomplemented
241#685—62no—
242#685—122no—
243#683—62no—
244#683—122no—
245C4×Dic5—42no—
246C4×Dic5—62no—
247C2×#120—151no—
248C2×C4×D4—151no—
249C22×C22⋊C4—31no—
250#390—152no—
251#388—152no—
252#388—152no—
253#386—152no—
254#386—151no—
255#385—151no—
256#379—151no—
257C4×C22⋊C4—51no—
258C22×C3×C5—24no—
259C22×C3×C5—22no—
260C22×C3×C5—22no—
261C22×C3×C5—24no—
262C22×C3×C5C4×D414yes—
263C22×C3×C5C23×C411yescharacteristic
264C22×C3×C5C22×D411yescharacteristic
265C22×C3×C5C2×#4111yescharacteristic
266C22×C3×C5H(5,𝔽2)12yes—
267C22×C3×C5H(5,𝔽2)12yes—
268C2×D15—22no—
269C2×D15—24no—
270C2×D15—41no—
271C2×D15—41no—
272C2×D15—42no—
273C2×C5×D3—24no—
274C2×C5×D3—24no—
275C2×C5×D3—24no—
276C2×C5×D3—416no—
277C2×C5×D3—42no—
278C2×C5×D3—42no—
279C2×C5×D3—42no—
280C2×C5×D3—42no—
281C3×C4×C5—22no—
282C3×C4×C5—22no—
283Dic15—22no—
284Dic15—41no—
285Dic15—41no—
286C3×Dic5—24no—
287C3×Dic5—42no—
288C5×Dic3—42no—
289C24×C3C22×D511yescharacteristic
290C23×D3—22no—
291C23×D3—22no—
292C23×D3—42no—
293C23×D3—42no—
294C23×D3—51no—
295C23×D3C4×D514yescomplemented
296C23×D3C22×D512yes—
297C22×C3×C4—42no—
298C22×C3×C4—52no—
299C22×C3×C4—52no—
300C22×C3×C4C22⋊D514yescomplemented
301C22×C3×C4C22×D511yescharacteristic
302C22×C3×C4C22×D511yescharacteristic
303C2×#67—54no—
304C2×#67—102no—
305C2×#67—102no—
306C22×Dic3—22no—
307C22×Dic3—42no—
308C22×Dic3—51no—
309C22×Dic3—51no—
310C22×Dic3—51no—
311C22×Dic3C22×D512yes—
312C2×D12—58no—
313C2×D12—202no—
314C2×D12—202no—
315C2×C4×D3—102no—
316C2×C4×D3—202no—
317C3×C22⋊C4—54no—
318C3×C22⋊C4—102no—
319C3×C42—202no—
320#217—102no—
321(C2×D3)⋊C4—24no—
322(C2×D3)⋊C4—24no—
323(C2×D3)⋊C4—58no—
324(C2×D3)⋊C4—102no—
325(C2×D3)⋊C4—202no—
326(C2×D3)⋊C4—202no—
327(C2×D3)⋊C4—202no—
328C4⋊Dic3—202no—
329Dic3⋊C4—102no—
330C4×Dic3—102no—
331C23×C5—22no—
332C23×C5—22no—
333C23×C5—34no—
334C23×C5—68no—
335C23×C5—62no—
336C23×C5—62no—
337C23×C5—62no—
338C23×C5—62no—
339C23×C5—62no—
340C23×C5—62no—
341C23×C5—128no—
342C23×C5—124no—
343C23×C5—124no—
344C23×C5—128no—
345C23×C5C2×C4×D312yes—
346C23×C5C2×D1212yes—
347C23×C5#23512yes—
348C23×C5C23×D311yescharacteristic
349C22×D5—32no—
350C22×D5—61no—
351C22×D5—61no—
352C22×D5—62no—
353C22×D5—62no—
354C2×C4×C5—22no—
355C2×C4×C5—22no—
356C2×C4×C5—44no—
357C2×C4×C5—62no—
358C2×C4×C5—62no—
359C2×C4×C5—62no—
360C2×C4×C5—124no—
361C2×C4×C5C2×D1212yes—
362C2×C4×C5C2×D1212yes—
363C22⋊D5—68no—
364C22⋊D5—128no—
365C2×Dic5—22no—
366C2×Dic5—22no—
367C2×Dic5—22no—
368C2×Dic5—22no—
369C2×Dic5—22no—
370C2×Dic5—32no—
371C2×Dic5—61no—
372C2×Dic5—61no—
373C2×Dic5—61no—
374C2×Dic5—61no—
375C2×Dic5—62no—
376C2×Dic5—62no—
377C2×Dic5C2×C4×D314yes—
378C4×D5—124no—
379C25—31no—
380C22×D4—152no—
381C22×D4—151no—
382C23×C4—31no—
383C23×C4—151no—
384C23×C4D3×D511yescharacteristic
385#120—158no—
386C4×D4—304no—
387C2×C4⋊C4—151no—
388C2×C4⋊C4—152no—
389C2×C22⋊C4—32no—
390C2×C22⋊C4—32no—
391C2×C22⋊C4—51no—
392C2×C22⋊C4—51no—
393C2×C22⋊C4—64no—
394C2×C22⋊C4—152no—
395C2×C22⋊C4—151no—
396C2×C22⋊C4—151no—
397C2×C22⋊C4—152no—
398C2×C22⋊C4—152no—
399C2×C22⋊C4—152no—
400C2×C42—52no—
401C2×C42—151no—
402#95—52no—
403#95—152no—
404#95—152no—
405C2×C3×C5—24no—
406C2×C3×C5C2×C4×D411yescharacteristic
407C2×C3×C5#51812yes—
408C2×C3×C5#53411yescharacteristic
409C2×C3×C5#53511yescharacteristic
410C2×C3×C5#53812yes—
411D15—42no—
412C5×D3—44no—
413C23×C3—22no—
414C23×C3—22no—
415C23×C3C2×C4×D512yes—
416C23×C3#70912yes—
417C23×C3C2×C22⋊D512yes—
418C23×C3C23×D511yescharacteristic
419C22×D3—22no—
420C22×D3—22no—
421C22×D3—22no—
422C22×D3—22no—
423C22×D3—22no—
424C22×D3—22no—
425C22×D3—28no—
426C22×D3—48no—
427C22×D3—48no—
428C22×D3—44no—
429C22×D3—44no—
430C22×D3—52no—
431C22×D3—101no—
432C22×D3—102no—
433C22×D3—102no—
434C22×D3—101no—
435C22×D3C2×C4×D514yes—
436C2×C3×C4—22no—
437C2×C3×C4—22no—
438C2×C3×C4—44no—
439C2×C3×C4—54no—
440C2×C3×C4—102no—
441C2×C3×C4—102no—
442C2×C3×C4—102no—
443C2×C3×C4—102no—
444C2×C3×C4—102no—
445C2×C3×C4C2×C22⋊D512yes—
446C2×C3×C4C2×C22⋊D512yes—
447#67—108no—
448C2×Dic3—22no—
449C2×Dic3—22no—
450C2×Dic3—22no—
451C2×Dic3—44no—
452C2×Dic3—52no—
453C2×Dic3—101no—
454C2×Dic3—101no—
455C2×Dic3—102no—
456C2×Dic3—102no—
457C2×Dic3—101no—
458C2×Dic3—101no—
459D12—208no—
460C4×D3—204no—
461C22×C5—22no—
462C22×C5—22no—
463C22×C5—24no—
464C22×C5—24no—
465C22×C5—64no—
466C22×C5—64no—
467C22×C5—64no—
468C22×C5—1216no—
469C22×C5—122no—
470C22×C5—122no—
471C22×C5—122no—
472C22×C5—122no—
473C22×C5C4×D1214yes—
474C22×C5C22×C4×D311yescharacteristic
475C22×C5C22×D1211yescharacteristic
476C22×C5C2×#23511yescharacteristic
477C22×C5#100412yes—
478C22×C5#100912yes—
479C2×D5—62no—
480C2×D5—64no—
481C2×D5—121no—
482C2×D5—121no—
483C2×D5—122no—
484C4×C5—22no—
485C4×C5—22no—
486C4×C5—122no—
487Dic5—24no—
488Dic5—42no—
489Dic5—62no—
490Dic5—121no—
491Dic5—121no—
492C24—32no—
493C24—34no—
494C24—62no—
495C24—62no—
496C24—122no—
497C24—122no—
498C24—151no—
499C24C2×D3×D511yescharacteristic
500C2×D4—158no—
501C2×D4—154no—
502C2×D4—302no—
503C2×D4—302no—
504C2×D4—602no—
505C2×D4—602no—
506C22×C4—32no—
507C22×C4—42no—
508C22×C4—52no—
509C22×C4—52no—
510C22×C4—62no—
511C22×C4—122no—
512C22×C4—151no—
513C22×C4—151no—
514C22×C4—151no—
515C22×C4—302no—
516C22×C4—602no—
517C22×C4#120314yescomplemented
518C22×C4C2×D3×D511yescharacteristic
519C22×C4C2×D3×D511yescharacteristic
520C4⋊C4—302no—
521C4⋊C4—602no—
522C22⋊C4—54no—
523C22⋊C4—64no—
524C22⋊C4—64no—
525C22⋊C4—102no—
526C22⋊C4—158no—
527C22⋊C4—302no—
528C22⋊C4—302no—
529C22⋊C4—602no—
530C22⋊C4—602no—
531C22⋊C4—602no—
532C42—202no—
533C42—302no—
534C3×C5#232111yescharacteristic, complemented, Hall
535C22×C3—24no—
536C22×C3—24no—
537C22×C3—22no—
538C22×C3—22no—
539C22×C3C4×C22⋊D514yes—
540C22×C3C22×C4×D511yescharacteristic
541C22×C3C2×#70911yescharacteristic
542C22×C3#414412yes—
543C22×C3#414412yes—
544C22×C3C22×C22⋊D511yescharacteristic
545C2×D3—24no—
546C2×D3—24no—
547C2×D3—24no—
548C2×D3—416no—
549C2×D3—42no—
550C2×D3—42no—
551C2×D3—42no—
552C2×D3—42no—
553C2×D3—104no—
554C2×D3—102no—
555C2×D3—202no—
556C2×D3—201no—
557C2×D3—201no—
558C3×C4—22no—
559C3×C4—22no—
560C3×C4—104no—
561C3×C4—202no—
562Dic3—42no—
563Dic3—102no—
564Dic3—201no—
565Dic3—201no—
566C2×C5—24no—
567C2×C5—124no—
568C2×C5C2×C4×D1211yescharacteristic
569C2×C5#549311yescharacteristic
570C2×C5#552511yescharacteristic
571C2×C5#554512yes—
572C2×C5#556012yes—
573D5—122no—
574C23—22no—
575C23—22no—
576C23—34no—
577C23—68no—
578C23—62no—
579C23—62no—
580C23—62no—
581C23—62no—
582C23—62no—
583C23—62no—
584C23—128no—
585C23—128no—
586C23—124no—
587C23—124no—
588C23—152no—
589C23—301no—
590C23—302no—
591C23—301no—
592C23—302no—
593C23#677112yes—
594C23C4×D3×D512yes—
595C23C2×#120312yes—
596C23C22×D3×D511yescharacteristic
597D4—308no—
598D4—608no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—44no—
602C2×C4—54no—
603C2×C4—62no—
604C2×C4—62no—
605C2×C4—62no—
606C2×C4—102no—
607C2×C4—102no—
608C2×C4—102no—
609C2×C4—102no—
610C2×C4—102no—
611C2×C4—124no—
612C2×C4—152no—
613C2×C4—301no—
614C2×C4—301no—
615C2×C4—302no—
616C2×C4—301no—
617C2×C4—301no—
618C2×C4—302no—
619C2×C4—604no—
620C2×C4C2×#120312yes—
621C2×C4C2×#120312yes—
622C2×C3—24no—
623C2×C3#6582012yes—
624C2×C3#6582812yes—
625C2×C3C2×C4×C22⋊D511yescharacteristic
626C2×C3#6613811yescharacteristic
627C2×C3#6613911yescharacteristic
628D3—44no—
629D3—202no—
630C5#7356911yescharacteristic, complemented, Sylow
631C22—24no—
632C22—22no—
633C22—24no—
634C22—22no—
635C22—64no—
636C22—64no—
637C22—64no—
638C22—1216no—
639C22—122no—
640C22—122no—
641C22—122no—
642C22—122no—
643C22—302no—
644C22—304no—
645C22—602no—
646C22—601no—
647C22—601no—
648C22C4×#120314yes—
649C22C2×#677111yescharacteristic
650C22C2×C4×D3×D511yescharacteristic
651C22#9201812yes—
652C22C22×#120311yescharacteristic
653C22#9204912yes—
654C4—22no—
655C4—22no—
656C4—104no—
657C4—122no—
658C4—202no—
659C4—302no—
660C4—601no—
661C4—601no—
662C3#1061382711yescharacteristic, complemented, Sylow
663C2—24no—
664C2—124no—
665C2—602no—
666C2C2×C4×#120311yescharacteristic
667C2#1175459512yes—
668C2#1175460611yescharacteristic
669C2#1175462712yes—
670C2#1175542811yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC23×C3×C4×C5C22
socle, cosocleC23×C3×C5C24
prime radicalC2×#91570C2
hypercenterC23×C4D3×D5
hypocenterC3×C5#2321
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. C2×C4×#1220C2semidirect
2. C22×C5×(C2×D3)⋊C4C2semidirect
4. C3×C4×C22⋊Dic5C2semidirect
5. #11749511C2semidirect
6. #11749498C2semidirect
7. #11749496C2semidirect
8. #11748918C2semidirect
9. #11748908C2semidirect
10. #11748724C2semidirect
11. #11748715C2semidirect
16. C22×C4×D15C22semidirect
21. C2×#6714C22semidirect
22. C2×#6712C22semidirect
23. C2×C4×Dic15C22semidirect
29. C2×C3×C4×Dic5C22semidirect
30. #91570C4semidirect
31. C2×#6668C22semidirect
32. C2×#6667C22semidirect
36. C3×#3963C22semidirect
37. #90994C22semidirect
38. #90994C22semidirect
46. C4×C22⋊Dic5D3semidirect
57. C23×C5×D3C2×C4semidirect
60. C22×C3×C4×C5D4semidirect
78. C2×#1203C2×C4semidirect
86. C3×C22⋊Dic5C2×C4semidirect
92. (C2×D3)⋊Dic5C2×C4semidirect
94. C22×(C2×D3)⋊C4D5semidirect
126. C2×C4×Dic5C2×D3semidirect
129. #3963C2×D3semidirect
217. C22×C4×C5D12semidirect
240. C22⋊Dic5C4×D3semidirect
295. C23×D3C4×D5semidirect
300. C22×C3×C4C22⋊D5semidirect
517. C22×C4#1203semidirect
534. C3×C5#2321semidirect
630. C5#73569semidirect
662. C3#10613827semidirect

Maximal subgroups

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

subgroupindex
C2×C4×#12202
C22×C5×(C2×D3)⋊C42
C2×#915702
C3×C4×C22⋊Dic52
#117495112
#117494982
#117494962
#117489182
#117489082
#117487242
#117487152
#106138273
#735695