Finite Group Databasebeta

← #14323429

Subgroups — #14323429

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×C5×#67⋊C4C211yesmaximal, characteristic, complemented
2C2×#91573C211yesmaximal, characteristic
3C22×#6667C211yesmaximal, characteristic, complemented
4#11751056C211yesmaximal, characteristic, complemented
5C3×#65235C211yesmaximal, characteristic, complemented
6#11749492C211yesmaximal, characteristic, complemented
7Dic3×C22⋊Dic5C211yesmaximal, characteristic, complemented
8#11748914C212yesmaximal, complemented
9#11748909C212yesmaximal, complemented
10#11748728C212yesmaximal, complemented
11#11748669C212yesmaximal, complemented
12#10614126—31nomaximal, Hall
13C24×D15C2211yescharacteristic
14C22×C5×#67C2211yescharacteristic
15C23×C5×Dic3C2211yescharacteristic
16C22×C4×C5×D3C2211yescharacteristic, complemented
17C23×C3×Dic5C2211yescharacteristic
18C22×#1203C2212yes—
19C2×C3×C5×C22⋊C4C2211yescharacteristic
20C2×#6719C2211yescharacteristic
21C2×#6714C2212yes—
22C2×#6714C2212yes—
23C2×C5×(C2×D3)⋊C4C2211yescharacteristic, complemented
24C2×C5×Dic3⋊C4C2211yescharacteristic, complemented
25C2×C4×C5×Dic3C2211yescharacteristic, complemented
26C5×#67⋊C4—24no—
27C2×C3×C22⋊Dic5C2211yescharacteristic
28C2×C3×#683C2212yescomplemented
29#91573C418yescomplemented
30C2×#6667—24no—
31C2×#6667C2212yes—
32C2×#6667C2212yes—
33C2×#6667C2212yes—
34C2×(C2×D3)⋊Dic5C2212yescomplemented
35C2×Dic3×Dic5C2212yescomplemented
36C3×#3963C2212yescomplemented
37#90994C2212yescomplemented
38#90994C2212yescomplemented
39#74592—51nomaximal, Hall
40C2×C4×C5×D4—31no—
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#65235D311yescharacteristic, complemented
50#65229—32no—
51C24×C3×C5C2311yescharacteristic
52C23×D15—22no—
53C23×D15—22no—
54C23×D15—42no—
55C23×D15—42no—
56C23×D15C2×C414yescomplemented
57C23×D15C2312yes—
58C23×C5×D3C2311yescharacteristic
59C22×C3×C4×C5C2311yescharacteristic
60C22×C3×C4×C5C2311yescharacteristic
61C22×Dic15C2312yes—
62C2×C5×#67—22no—
63C2×C5×#67—22no—
64C2×C5×#67C2×C414yes—
65C22×C5×Dic3—42no—
66C22×C5×Dic3D414yescomplemented
67C22×C5×Dic3C2311yescharacteristic
68C22×C5×Dic3C2311yescharacteristic
69C22×C5×Dic3C2311yescharacteristic
70C2×C4×C5×D3—22no—
71C2×C4×C5×D3—42no—
72C22×C3×Dic5—22no—
73C22×C3×Dic5—42no—
74C22×C3×Dic5C2312yes—
75C22×C3×Dic5C2312yes—
76C2×#1203—42no—
77C2×#1203—42no—
78C2×#1203C2×C418yescomplemented
79C3×C5×C22⋊C4—22no—
80#6719—22no—
81#6714—42no—
82#6714—42no—
83C5×(C2×D3)⋊C4—22no—
84C5×Dic3⋊C4—22no—
85C4×C5×Dic3—22no—
86C3×C22⋊Dic5C2×C414yescomplemented
87C3×#683—42no—
88#6667—24no—
89#6667—24no—
90#6667C2×C418yescomplemented
91(C2×D3)⋊Dic5—42no—
92Dic3×Dic5—42no—
93C22×(C2×D3)⋊C4—51no—
94C2×#882—51no—
95C2×#67⋊C4D511yescharacteristic, complemented
96C3×#385—51no—
97#5213—51no—
98#4990—52no—
99#4988—52no—
100#4955—51no—
101Dic3×C22⋊C4—51no—
102#4669—52no—
103#4665—52no—
104C24×D5—31no—
105C22×C5×D4—31no—
106C23×C4×C5—31no—
107C23×C4×C5—31no—
108C22×C22⋊D5—32no—
109C23×Dic5C2×D311yescharacteristic
110C4×C5×D4—64no—
111C2×C5×C4⋊C4—31no—
112C2×C5×C22⋊C4—31no—
113C2×C5×C22⋊C4C2×D311yescharacteristic
114C2×C42×C5—31no—
115C2×C22⋊Dic5—31no—
116C2×C22⋊Dic5—32no—
117C2×C22⋊Dic5C2×D311yescharacteristic
118#4083—38no—
119C2×#685—32no—
120C2×#685—32no—
121C2×#685—32no—
122C2×#685—32no—
123C2×#685—32no—
124C2×#685—64no—
125C2×#683C2×D312yescomplemented
126C2×C4×Dic5—32no—
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—28no—
138C22×D15—22no—
139C22×D15—22no—
140C22×D15—22no—
141C22×D15—22no—
142C22×D15—22no—
143C22×D15—22no—
144C22×D15—48no—
145C22×D15—44no—
146C22×D15—44no—
147C22×D15—48no—
148C22×D15C22×C414yes—
149C22×C5×D3—21no—
150C22×C5×D3—21no—
151C22×C5×D3—22no—
152C22×C5×D3—22no—
153C22×C5×D3C22×C412yes—
154C2×C3×C4×C5—21no—
155C2×C3×C4×C5—21no—
156C2×C3×C4×C5—22no—
157C2×C3×C4×C5—22no—
158C2×Dic15—22no—
159C2×Dic15—22no—
160C2×Dic15—22no—
161C5×#67—28no—
162C2×C5×Dic3—21no—
163C2×C5×Dic3—21no—
164C2×C5×Dic3—22no—
165C2×C5×Dic3—22no—
166C2×C5×Dic3—44no—
167C2×C5×Dic3C22×C412yes—
168C2×C5×Dic3C2×D412yes—
169C2×C5×Dic3C2×D412yes—
170C4×C5×D3—44no—
171C2×C3×Dic5—22no—
172C2×C3×Dic5—22no—
173C2×C3×Dic5—22no—
174C2×C3×Dic5—22no—
175C2×C3×Dic5—22no—
176C2×C3×Dic5—44no—
177C2×C3×Dic5C22×C414yes—
178#1203—48no—
179C24×D3—51no—
180C23×C3×C4—51no—
181C22×#67C2×D511yescharacteristic
182C23×Dic3C2×D511yescharacteristic
183C22×D12—52no—
184C22×C4×D3C2×D511yescharacteristic, complemented
185C2×C3×C4⋊C4—52no—
186C2×C3×C22⋊C4—51no—
187C2×C3×C22⋊C4C2×D511yescharacteristic
188C2×#217—51no—
189C2×(C2×D3)⋊C4—52no—
190C2×(C2×D3)⋊C4—52no—
191C2×(C2×D3)⋊C4—52no—
192C2×(C2×D3)⋊C4—52no—
193C2×(C2×D3)⋊C4—52no—
194C2×(C2×D3)⋊C4—52no—
195C2×(C2×D3)⋊C4—104no—
196C2×(C2×D3)⋊C4C2×D511yescharacteristic, complemented
197C2×Dic3⋊C4C2×D511yescharacteristic, complemented
198C2×C4×Dic3—52no—
199C2×C4×Dic3C2×D511yescharacteristic, complemented
200#882—58no—
201#67⋊C4—24no—
202C3×#95—52no—
203C3⋊#95—52no—
204C3⋊#95—52no—
205C24×C5—31no—
206C24×C5C22×D311yescharacteristic
207C23×D5—32no—
208C23×D5—34no—
209C23×D5—62no—
210C23×D5—62no—
211C23×D5—122no—
212C23×D5—122no—
213C2×C5×D4—34no—
214C2×C5×D4—62no—
215C2×C5×D4—62no—
216C22×C4×C5—31no—
217C22×C4×C5—31no—
218C22×C4×C5—31no—
219C22×C4×C5—34no—
220C22×C4×C5—62no—
221C22×C4×C5—122no—
222C22×C4×C5—122no—
223C22×C4×C5C22×D311yescharacteristic
224C22×C4×C5C22×D311yescharacteristic
225C2×C22⋊D5—38no—
226C2×C22⋊D5—122no—
227C2×C22⋊D5—122no—
228C22×Dic5—22no—
229C22×Dic5—32no—
230C22×Dic5—42no—
231C22×Dic5C22×D312yes—
232C22×Dic5C22×D312yes—
233C5×C4⋊C4—62no—
234C5×C22⋊C4—22no—
235C5×C22⋊C4—62no—
236C42×C5—62no—
237C22⋊Dic5—62no—
238C22⋊Dic5—122no—
239C22⋊Dic5C4×D314yescomplemented
240#685—38no—
241#685—64no—
242#685—64no—
243#685—122no—
244#685—122no—
245#683—42no—
246C4×Dic5—122no—
247C2×#120—151no—
248C2×C4×D4—31no—
249C22×C22⋊C4—151no—
250#390—152no—
251#388—152no—
252#388—152no—
253#386—152no—
254#386—151no—
255#385—51no—
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×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—24no—
269C2×D15—24no—
270C2×D15—24no—
271C2×D15—416no—
272C2×D15—42no—
273C2×D15—42no—
274C2×D15—42no—
275C2×D15—42no—
276C2×C5×D3—22no—
277C2×C5×D3—24no—
278C2×C5×D3—41no—
279C2×C5×D3—41no—
280C2×C5×D3—42no—
281C3×C4×C5—41no—
282C3×C4×C5—41no—
283Dic15—42no—
284C3×Dic5—24no—
285C3×Dic5—42no—
286C5×Dic3—22no—
287C5×Dic3—22no—
288C5×Dic3—22no—
289C24×C3C22×D511yescharacteristic
290C23×D3—52no—
291C23×D3—54no—
292C23×D3—102no—
293C23×D3—102no—
294C23×D3—202no—
295C23×D3—202no—
296C23×D3C22×D511yescharacteristic
297C22×C3×C4—52no—
298C22×C3×C4—52no—
299C22×C3×C4—102no—
300C22×C3×C4—202no—
301C22×C3×C4C22×D511yescharacteristic
302C22×C3×C4C22×D511yescharacteristic
303C2×#67—22no—
304C2×#67—22no—
305C2×#67C4×D514yes—
306C22×Dic3—42no—
307C22×Dic3—52no—
308C22×Dic3C22⋊D514yescomplemented
309C22×Dic3C22×D511yescharacteristic
310C22×Dic3C22×D511yescharacteristic
311C22×Dic3C22×D511yescharacteristic
312C2×D12—58no—
313C2×D12—202no—
314C2×D12—202no—
315C2×C4×D3—22no—
316C2×C4×D3—42no—
317C3×C4⋊C4—202no—
318C3×C22⋊C4—22no—
319C3×C22⋊C4—54no—
320#217—102no—
321(C2×D3)⋊C4—22no—
322(C2×D3)⋊C4—58no—
323(C2×D3)⋊C4—104no—
324(C2×D3)⋊C4—104no—
325(C2×D3)⋊C4—202no—
326(C2×D3)⋊C4—202no—
327(C2×D3)⋊C4—202no—
328Dic3⋊C4—22no—
329C4×Dic3—22no—
330C4×Dic3—202no—
331C23×C5—22no—
332C23×C5—22no—
333C23×C5—32no—
334C23×C5—61no—
335C23×C5—62no—
336C23×C5—61no—
337C23×C5—62no—
338C23×C5C2×C4×D312yes—
339C23×C5D3×D412yes—
340C23×C5#23912yes—
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—128no—
352C22×D5—124no—
353C22×D5—124no—
354C5×D4—68no—
355C2×C4×C5—21no—
356C2×C4×C5—21no—
357C2×C4×C5—22no—
358C2×C4×C5—22no—
359C2×C4×C5—32no—
360C2×C4×C5—32no—
361C2×C4×C5—32no—
362C2×C4×C5—61no—
363C2×C4×C5—61no—
364C2×C4×C5—62no—
365C2×C4×C5—62no—
366C2×C4×C5—124no—
367C2×C4×C5—124no—
368C22⋊D5—128no—
369C2×Dic5—22no—
370C2×Dic5—22no—
371C2×Dic5—22no—
372C2×Dic5—22no—
373C2×Dic5—22no—
374C2×Dic5—44no—
375C2×Dic5—62no—
376C2×Dic5—62no—
377C2×Dic5—62no—
378C2×Dic5C2×C4×D314yes—
379C25—151no—
380C22×D4—31no—
381C22×D4—152no—
382C23×C4—31no—
383C23×C4—31no—
384C23×C4—51no—
385#120—158no—
386C4×D4—64no—
387C2×C4⋊C4—31no—
388C2×C4⋊C4—52no—
389C2×C22⋊C4—31no—
390C2×C22⋊C4—51no—
391C2×C22⋊C4—152no—
392C2×C22⋊C4—152no—
393C2×C22⋊C4—152no—
394C2×C22⋊C4—151no—
395C2×C22⋊C4—152no—
396C2×C22⋊C4—152no—
397C2×C22⋊C4—152no—
398C2×C22⋊C4—304no—
399C2×C22⋊C4D3×D511yescharacteristic
400C2×C42—31no—
401C2×C42—152no—
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—44no—
412C5×D3—42no—
413C23×C3—22no—
414C23×C3—22no—
415C23×C3C2×C4×D512yes—
416C23×C3#70912yes—
417C23×C3C2×C22⋊D512yes—
418C23×C3C23×D511yescharacteristic
419C22×D3—21no—
420C22×D3—22no—
421C22×D3—22no—
422C22×D3—21no—
423C22×D3—54no—
424C22×D3—102no—
425C22×D3—102no—
426C22×D3—102no—
427C22×D3—102no—
428C22×D3—102no—
429C22×D3—102no—
430C22×D3—108no—
431C22×D3—208no—
432C22×D3—204no—
433C22×D3—208no—
434C22×D3—204no—
435C22×D3C2×C4×D512yes—
436C2×C3×C4—22no—
437C2×C3×C4—22no—
438C2×C3×C4—21no—
439C2×C3×C4—21no—
440C2×C3×C4—54no—
441C2×C3×C4—102no—
442C2×C3×C4—102no—
443C2×C3×C4—102no—
444C2×C3×C4—102no—
445C2×C3×C4—102no—
446C2×C3×C4—204no—
447#67—28no—
448C2×Dic3—21no—
449C2×Dic3—22no—
450C2×Dic3—22no—
451C2×Dic3—21no—
452C2×Dic3—44no—
453C2×Dic3—102no—
454C2×Dic3—102no—
455C2×Dic3—102no—
456C2×Dic3C2×C4×D512yes—
457C2×Dic3C2×C22⋊D512yes—
458C2×Dic3C2×C22⋊D512yes—
459D12—208no—
460C4×D3—44no—
461C22×C5—24no—
462C22×C5—22no—
463C22×C5—24no—
464C22×C5—22no—
465C22×C5—62no—
466C22×C5—64no—
467C22×C5—122no—
468C22×C5—121no—
469C22×C5—121no—
470C22×C5#89314yes—
471C22×C5C22×C4×D311yescharacteristic
472C22×C5C2×D3×D411yescharacteristic
473C22×C5#100412yes—
474C22×C5C2×#23911yescharacteristic
475C22×C5#100912yes—
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—41no—
485C4×C5—41no—
486C4×C5—62no—
487C4×C5—62no—
488C4×C5—62no—
489Dic5—24no—
490Dic5—42no—
491Dic5—122no—
492C24—31no—
493C24—152no—
494C24—154no—
495C24—302no—
496C24—302no—
497C24—602no—
498C24—602no—
499C24C2×D3×D511yescharacteristic
500C2×D4—34no—
501C2×D4—62no—
502C2×D4—62no—
503C2×D4—158no—
504C2×D4—602no—
505C2×D4—602no—
506C22×C4—31no—
507C22×C4—31no—
508C22×C4—31no—
509C22×C4—34no—
510C22×C4—52no—
511C22×C4—52no—
512C22×C4—62no—
513C22×C4—102no—
514C22×C4—122no—
515C22×C4—122no—
516C22×C4—152no—
517C22×C4—202no—
518C22×C4C2×D3×D511yescharacteristic
519C22×C4C2×D3×D511yescharacteristic
520C4⋊C4—62no—
521C4⋊C4—202no—
522C22⋊C4—22no—
523C22⋊C4—54no—
524C22⋊C4—62no—
525C22⋊C4—158no—
526C22⋊C4—304no—
527C22⋊C4—304no—
528C22⋊C4—302no—
529C22⋊C4—602no—
530C22⋊C4—602no—
531C22⋊C4—602no—
532C42—62no—
533C42—602no—
534C3×C5#232111yescharacteristic, complemented, Hall
535C22×C3—24no—
536C22×C3—22no—
537C22×C3—24no—
538C22×C3—22no—
539C22×C3C4×C22⋊D514yes—
540C22×C3C22×C4×D511yescharacteristic
541C22×C3C2×#70911yescharacteristic
542C22×C3#414412yes—
543C22×C3#414912yes—
544C22×C3C22×C22⋊D511yescharacteristic
545C2×D3—22no—
546C2×D3—24no—
547C2×D3—41no—
548C2×D3—42no—
549C2×D3—41no—
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—41no—
559C3×C4—41no—
560C3×C4—104no—
561C3×C4—202no—
562Dic3—22no—
563Dic3—22no—
564Dic3—22no—
565Dic3—202no—
566C2×C5—24no—
567C2×C5—122no—
568C2×C5C2×#89311yescharacteristic
569C2×C5#554512yes—
570C2×C5#559211yescharacteristic
571C2×C5#564412yes—
572C2×C5#565311yescharacteristic
573D5—124no—
574C23—22no—
575C23—22no—
576C23—32no—
577C23—61no—
578C23—62no—
579C23—62no—
580C23—61no—
581C23—154no—
582C23—308no—
583C23—302no—
584C23—302no—
585C23—302no—
586C23—302no—
587C23—302no—
588C23—302no—
589C23—608no—
590C23—604no—
591C23—604no—
592C23—608no—
593C23#676912yes—
594C23C4×D3×D512yes—
595C23D3×C22⋊D512yes—
596C23C22×D3×D511yescharacteristic
597D4—68no—
598D4—608no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—32no—
604C2×C4—32no—
605C2×C4—32no—
606C2×C4—54no—
607C2×C4—61no—
608C2×C4—62no—
609C2×C4—62no—
610C2×C4—61no—
611C2×C4—102no—
612C2×C4—102no—
613C2×C4—102no—
614C2×C4—102no—
615C2×C4—102no—
616C2×C4—124no—
617C2×C4—124no—
618C2×C4—204no—
619C2×C4—302no—
620C2×C4—302no—
621C2×C4—302no—
622C2×C3—24no—
623C2×C3#6587912yes—
624C2×C3#6589412yes—
625C2×C3C2×C4×C22⋊D511yescharacteristic
626C2×C3#6613811yescharacteristic
627C2×C3#6616411yescharacteristic
628D3—42no—
629D3—204no—
630C5#7459211yescharacteristic, complemented, Sylow
631C22—22no—
632C22—22no—
633C22—24no—
634C22—24no—
635C22—62no—
636C22—64no—
637C22—121no—
638C22—121no—
639C22—122no—
640C22—304no—
641C22—304no—
642C22—304no—
643C22—6016no—
644C22—602no—
645C22—602no—
646C22—602no—
647C22—602no—
648C22#9144614yes—
649C22C2×#676911yescharacteristic
650C22C2×C4×D3×D511yescharacteristic
651C22#9202612yes—
652C22#9202712yes—
653C22C2×D3×C22⋊D511yescharacteristic
654C4—41no—
655C4—41no—
656C4—62no—
657C4—62no—
658C4—62no—
659C4—104no—
660C4—202no—
661C4—602no—
662C3#1061412611yescharacteristic, complemented, Sylow
663C2—24no—
664C2—122no—
665C2—604no—
666C2#1175318312yes—
667C2#1175320412yes—
668C2C2×#9144611yescharacteristic
669C2#1175494711yescharacteristic
670C2#1175495211yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC2×C3×C5×C22⋊C4C22
socle, cosocleC23×C3×C5C24
prime radicalC2×#91573C2
hypercenterC2×C22⋊C4D3×D5
hypocenterC3×C5#2321
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×C22⋊C4

Complements

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

NH ≅ G/Ntype
1. C2×C5×#67⋊C4C2semidirect
3. C22×#6667C2semidirect
4. #11751056C2semidirect
5. C3×#65235C2semidirect
6. #11749492C2semidirect
7. Dic3×C22⋊Dic5C2semidirect
8. #11748914C2semidirect
9. #11748909C2semidirect
10. #11748728C2semidirect
11. #11748669C2semidirect
16. C22×C4×C5×D3C22semidirect
23. C2×C5×(C2×D3)⋊C4C22semidirect
24. C2×C5×Dic3⋊C4C22semidirect
25. C2×C4×C5×Dic3C22semidirect
28. C2×C3×#683C22semidirect
29. #91573C4semidirect
34. C2×(C2×D3)⋊Dic5C22semidirect
35. C2×Dic3×Dic5C22semidirect
36. C3×#3963C22semidirect
37. #90994C22semidirect
38. #90994C22semidirect
49. #65235D3semidirect
56. C23×D15C2×C4semidirect
66. C22×C5×Dic3D4semidirect
78. C2×#1203C2×C4semidirect
86. C3×C22⋊Dic5C2×C4semidirect
90. #6667C2×C4semidirect
95. C2×#67⋊C4D5semidirect
125. C2×#683C2×D3semidirect
129. #3963C2×D3semidirect
184. C22×C4×D3C2×D5semidirect
196. C2×(C2×D3)⋊C4C2×D5semidirect
197. C2×Dic3⋊C4C2×D5semidirect
199. C2×C4×Dic3C2×D5semidirect
239. C22⋊Dic5C4×D3semidirect
308. C22×Dic3C22⋊D5semidirect
534. C3×C5#2321semidirect
630. C5#74592semidirect
662. C3#10614126semidirect

Maximal subgroups

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

subgroupindex
C2×C5×#67⋊C42
C2×#915732
C22×#66672
#117510562
C3×#652352
#117494922
Dic3×C22⋊Dic52
#117489142
#117489092
#117487282
#117486692
#106141263
#745925