Finite Group Databasebeta

← #14321453

Subgroups — #14321453

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
1C2×#91450C211yesmaximal, characteristic
2C2×#91428C211yesmaximal, characteristic, complemented
3C2×#91395C212yesmaximal, complemented
4C2×C4×D5×Dic3C211yesmaximal, characteristic, complemented
5#11751089C211yesmaximal, characteristic, complemented
6C5×Dic3×C4⋊C4C211yesmaximal, characteristic, complemented
7C3×#65276C211yesmaximal, characteristic, complemented
8#11748881C212yesmaximal, complemented
9#11748872C212yesmaximal, complemented
10#11748868C211yesmaximal, characteristic, complemented
11#11748668C212yesmaximal, complemented
12C4×#4041—31nomaximal, Hall
13C22×D60C2211yescharacteristic
14C22×C3×C4×D5C2211yescharacteristic
15C22×#1202C2212yes—
16C22×#1200C2212yes—
17C22×D5×Dic3C2211yescharacteristic
18C22×D5×Dic3C2211yescharacteristic
19C2×C3×C5×C4⋊C4C2211yescharacteristic
20C2×#6714C2212yes—
21C2×#6714C2212yes—
22C2×C4×Dic15C2211yescharacteristic
23C2×C5×C4⋊Dic3C2211yescharacteristic
24C2×C4×C5×Dic3C2212yes—
25C2×C4×C5×Dic3C2211yescharacteristic
26C2×C3×#685C2212yes—
27C2×C3×C4⋊Dic5C2211yescharacteristic
28C2×Dic3⋊Dic5C2212yes—
29C2×#6667C2212yes—
30C2×#6667C2212yes—
31C2×Dic3×Dic5C2211yescharacteristic
32C2×Dic3×Dic5C2211yescharacteristic
33#91450C418yescomplemented
34#91428—24no—
35#91395—28no—
36C4×D5×Dic3—24no—
37C5×C3⋊#95C2212yes—
38C3×#3963C2212yes—
39#90994C2212yes—
40#73865—51nomaximal, Hall
41C2×#4041—31no—
42C2×C4×D20—32no—
43C2×C4×D20—31no—
44C2×C42×D5—31no—
45C4×C5×C4⋊C4—31no—
46#65277—31no—
47#65276D311yescharacteristic, complemented
48#65274—31no—
49C4×#685—32no—
50#64959—32no—
51#64954—32no—
52C23×D15C2312yes—
53C23×C3×D5C2311yescharacteristic
54C22×C3×C4×C5C2312yes—
55C22×C3×C4×C5C2311yescharacteristic
56C22×Dic15C2311yescharacteristic
57C22×Dic15C2311yescharacteristic
58C2×D60—22no—
59C2×D60—22no—
60C2×D60C2×C414yescomplemented
61C22×C5×Dic3C2312yes—
62C22×C5×Dic3C2311yescharacteristic
63C22×C5×Dic3C2311yescharacteristic
64C22×C3×Dic5C2312yes—
65C22×C3×Dic5C2311yescharacteristic
66C2×C3×C4×D5—22no—
67C2×C3×C4×D5—22no—
68C2×C3×C4×D5C2×C414yescomplemented
69C2×#1202—24no—
70C2×#1202—24no—
71C2×#1202C2×C418yescomplemented
72C2×#1200—24no—
73C2×#1200—24no—
74C2×#1200—24no—
75C2×D5×Dic3—22no—
76C2×D5×Dic3—22no—
77C2×D5×Dic3—22no—
78C2×D5×Dic3—22no—
79C2×D5×Dic3—22no—
80C2×D5×Dic3D414yescomplemented
81C3×C5×C4⋊C4—22no—
82#6714—24no—
83#6714—24no—
84C4×Dic15—22no—
85C5×C4⋊Dic3C2×C414yescomplemented
86C4×C5×Dic3—24no—
87C4×C5×Dic3D414yescomplemented
88C3×#685—24no—
89C3×C4⋊Dic5—22no—
90Dic3⋊Dic5—24no—
91#6667—24no—
92#6667C2×C418yescomplemented
93Dic3×Dic5—22no—
94Dic3×Dic5—22no—
95C2×#930—51no—
96C22×C4×Dic3—51no—
97C2×#893—51no—
98C2×#67⋊C4—52no—
99C3×#380—51no—
100#4988—51no—
101Dic3×C4⋊C4D511yescharacteristic, complemented
102#4972—51no—
103#4958—52no—
104#4669—52no—
105#4666—52no—
106C22×D20—32no—
107C22×D20—31no—
108C22×C4×D5—31no—
109C22×C4×D5—31no—
110C22×C4×D5—32no—
111C22×C4×D5C2×D311yescharacteristic
112C2×C5×C4⋊C4—31no—
113C2×C5×C4⋊C4C2×D311yescharacteristic
114C2×C42×C5—31no—
115C2×C42×C5—32no—
116C2×#685—32no—
117C2×#685—32no—
118C2×#685—32no—
119C2×#685—32no—
120C2×#685C2×D312yes—
121C2×C4⋊Dic5—32no—
122C2×C4⋊Dic5C2×D311yescharacteristic
123C2×C4×Dic5—31no—
124C2×C4×Dic5—31no—
125C2×C4×Dic5—31no—
126#4041—38no—
127C4×D20—64no—
128C4×D20—68no—
129C42×D5—64no—
130C5×#95—32no—
131#3963—32no—
132#3963C2×D312yes—
133C4×#121—151noSylow
134C23×C3×C5C2411yescharacteristic
135C22×D15—22no—
136C22×D15—22no—
137C22×D15—22no—
138C22×D15—22no—
139C22×D15—22no—
140C22×D15—22no—
141C22×D15C22×C414yes—
142C22×C3×D5—21no—
143C22×C3×D5—21no—
144C22×C3×D5—21no—
145C22×C3×D5—21no—
146C22×C3×D5C22×C412yes—
147C22×C3×D5C2×D412yes—
148C22×C3×D5#4112yes—
149C2×C3×C4×C5—22no—
150C2×C3×C4×C5—22no—
151C2×C3×C4×C5—22no—
152C2×C3×C4×C5C22×C412yes—
153C2×C3×C4×C5C2×D412yes—
154C2×C3×C4×C5#4112yes—
155C2×Dic15—21no—
156C2×Dic15—21no—
157C2×Dic15—21no—
158C2×Dic15—21no—
159C2×Dic15C2×D412yes—
160C2×Dic15#4112yes—
161D60—28no—
162C2×C5×Dic3—22no—
163C2×C5×Dic3—21no—
164C2×C5×Dic3—21no—
165C2×C5×Dic3—22no—
166C2×C5×Dic3C22×C414yes—
167C2×C5×Dic3C2×D412yes—
168C2×C5×Dic3C2×D412yes—
169C2×C5×Dic3C2×D412yes—
170C2×C5×Dic3#4112yes—
171C2×C3×Dic5—21no—
172C2×C3×Dic5—21no—
173C2×C3×Dic5—22no—
174C2×C3×Dic5—22no—
175C2×C3×Dic5—22no—
176C2×C3×Dic5C22×C412yes—
177C3×C4×D5—28no—
178#1202—216no—
179#1200—48no—
180D5×Dic3—28no—
181D5×Dic3—28no—
182C23×C3×C4—51no—
183C22×#67—52no—
184C23×Dic3—51no—
185C23×Dic3—51no—
186C22×D12—51no—
187C22×C4×D3—52no—
188C2×C3×C4⋊C4—51no—
189C2×C3×C4⋊C4C2×D511yescharacteristic
190C2×C3×C22⋊C4—52no—
191#930—58no—
192C2×(C2×D3)⋊C4—52no—
193C2×(C2×D3)⋊C4—52no—
194C2×(C2×D3)⋊C4—52no—
195C2×(C2×D3)⋊C4—52no—
196C2×C4⋊Dic3C2×D511yescharacteristic
197C2×Dic3⋊C4—52no—
198C2×C4×Dic3—51no—
199C2×C4×Dic3—51no—
200C2×C4×Dic3—51no—
201C2×C4×Dic3—104no—
202C2×C4×Dic3C2×D512yes—
203C2×C4×Dic3C2×D511yescharacteristic
204#893—104no—
205#67⋊C4—108no—
206C3×#95—52no—
207C3⋊#95—52no—
208C3⋊#95C2×D512yes—
209C23×D5—32no—
210C23×D5C22×D311yescharacteristic
211C22×C4×C5—31no—
212C22×C4×C5—32no—
213C22×C4×C5—31no—
214C22×C4×C5C22×D312yes—
215C22×C4×C5C22×D311yescharacteristic
216C22×Dic5—31no—
217C22×Dic5—31no—
218C22×Dic5C22×D312yes—
219C22×Dic5C22×D311yescharacteristic
220C2×D20—38no—
221C2×D20—34no—
222C2×D20—64no—
223C2×D20—64no—
224C2×D20—62no—
225C2×D20—62no—
226C2×C4×D5—22no—
227C2×C4×D5—22no—
228C2×C4×D5—34no—
229C2×C4×D5—62no—
230C2×C4×D5—62no—
231C2×C4×D5—62no—
232C2×C4×D5—62no—
233C2×C4×D5—62no—
234C2×C4×D5—64no—
235C2×C4×D5—64no—
236C2×C4×D5—64no—
237C2×C4×D5C4×D314yescomplemented
238C5×C4⋊C4—22no—
239C5×C4⋊C4—34no—
240C42×C5—34no—
241C42×C5—64no—
242#685—24no—
243#685—38no—
244#685—64no—
245#685—64no—
246#685—64no—
247C4⋊Dic5—22no—
248C4⋊Dic5—64no—
249C4×Dic5—62no—
250C4×Dic5—62no—
251C4×Dic5—62no—
252C2×#121—151no—
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—31no—
262C4×C22⋊C4—152no—
263C22×C3×C5C23×C411yescharacteristic
264C22×C3×C5C22×D411yescharacteristic
265C22×C3×C5C22×D411yescharacteristic
266C22×C3×C5C2×#4111yescharacteristic
267C22×C3×C5C2×#4111yescharacteristic
268C22×C3×C5C2×#4111yescharacteristic
269C22×C3×C5C2×#4111yescharacteristic
270C2×D15—24no—
271C2×D15—24no—
272C2×D15—24no—
273C2×D15—42no—
274C2×D15—42no—
275C2×D15—42no—
276C2×D15—42no—
277C2×C3×D5—22no—
278C2×C3×D5—22no—
279C2×C3×D5—22no—
280C2×C3×D5—22no—
281C2×C3×D5—22no—
282C2×C3×D5—22no—
283C2×C3×D5C4×D414yescomplemented
284C3×C4×C5—42no—
285C3×C4×C5C4×D414yescomplemented
286Dic15—22no—
287Dic15—22no—
288C3×Dic5—22no—
289C3×Dic5—42no—
290C5×Dic3—24no—
291C5×Dic3—22no—
292C5×Dic3#12114yescomplemented
293C24×C3—51no—
294C23×D3—52no—
295C22×C3×C4—51no—
296C22×C3×C4—54no—
297C22×C3×C4—52no—
298C22×C3×C4—102no—
299C22×C3×C4—102no—
300C22×C3×C4C22×D512yes—
301C22×C3×C4C22×D511yescharacteristic
302C2×#67—58no—
303C2×#67—104no—
304C2×#67—104no—
305C22×Dic3—51no—
306C22×Dic3—51no—
307C22×Dic3—54no—
308C22×Dic3—102no—
309C22×Dic3—102no—
310C22×Dic3—102no—
311C22×Dic3—102no—
312C22×Dic3—102no—
313C22×Dic3C22×D512yes—
314C22×Dic3C22×D511yescharacteristic
315C22×Dic3C22×D511yescharacteristic
316C2×D12—54no—
317C2×D12—102no—
318C2×D12—102no—
319C2×C4×D3—104no—
320C2×C4×D3—104no—
321C2×C4×D3—104no—
322C3×C4⋊C4—22no—
323C3×C4⋊C4—102no—
324C3×C22⋊C4—104no—
325(C2×D3)⋊C4—58no—
326(C2×D3)⋊C4—104no—
327(C2×D3)⋊C4—104no—
328(C2×D3)⋊C4—104no—
329C4⋊Dic3C4×D514yescomplemented
330Dic3⋊C4—104no—
331C4×Dic3—24no—
332C4×Dic3—102no—
333C4×Dic3—102no—
334C4×Dic3—102no—
335C4×Dic3D2014yescomplemented
336C23×C5C23×D311yescharacteristic
337C22×D5—21no—
338C22×D5—21no—
339C22×D5—21no—
340C22×D5—21no—
341C22×D5—34no—
342C22×D5—62no—
343C22×D5—62no—
344C22×D5—62no—
345C22×D5—62no—
346C22×D5—62no—
347C22×D5—62no—
348C22×D5C2×C4×D312yes—
349C22×D5D3×D412yes—
350C22×D5#23912yes—
351C2×C4×C5—22no—
352C2×C4×C5—22no—
353C2×C4×C5—22no—
354C2×C4×C5—32no—
355C2×C4×C5—32no—
356C2×C4×C5—32no—
357C2×C4×C5—34no—
358C2×C4×C5—32no—
359C2×C4×C5—62no—
360C2×C4×C5—61no—
361C2×C4×C5—62no—
362C2×C4×C5—61no—
363C2×C4×C5C2×C4×D312yes—
364C2×C4×C5D3×D412yes—
365C2×C4×C5#23712yes—
366C2×Dic5—21no—
367C2×Dic5—21no—
368C2×Dic5—22no—
369C2×Dic5—22no—
370C2×Dic5—22no—
371C2×Dic5—32no—
372C2×Dic5—32no—
373C2×Dic5—61no—
374C2×Dic5—61no—
375C2×Dic5—61no—
376C2×Dic5—61no—
377C2×Dic5C2×C4×D312yes—
378D20—616no—
379D20—68no—
380C4×D5—28no—
381C4×D5—68no—
382C4×D5—68no—
383C4×D5—128no—
384C22×D4—152no—
385C22×D4—151no—
386C23×C4—51no—
387C23×C4—152no—
388C23×C4—151no—
389C23×C4—151no—
390#121—158no—
391C4×D4—304no—
392C4×D4—308no—
393C2×C4⋊C4—31no—
394C2×C4⋊C4—51no—
395C2×C4⋊C4—152no—
396C2×C4⋊C4D3×D511yescharacteristic
397C2×C22⋊C4—52no—
398C2×C22⋊C4—152no—
399C2×C22⋊C4—152no—
400C2×C22⋊C4—152no—
401C2×C22⋊C4—152no—
402C2×C42—31no—
403C2×C42—32no—
404C2×C42—151no—
405C2×C42—151no—
406C2×C42—151no—
407C2×C42—304no—
408#95—32no—
409#95—52no—
410#95—152no—
411C2×C3×C5C2×C4×D411yescharacteristic
412C2×C3×C5C2×C4×D411yescharacteristic
413C2×C3×C5C4×#4111yescharacteristic
414C2×C3×C5C2×#12111yescharacteristic
415C2×C3×C5#52511yescharacteristic
416C2×C3×C5#52911yescharacteristic
417C2×C3×C5#53211yescharacteristic
418D15—44no—
419C3×D5—24no—
420C23×C3—52no—
421C23×C3—52no—
422C23×C3—52no—
423C23×C3—101no—
424C23×C3—101no—
425C23×C3—101no—
426C23×C3—101no—
427C23×C3C23×D511yescharacteristic
428C22×D3—54no—
429C22×D3—102no—
430C22×D3—102no—
431C22×D3—102no—
432C22×D3—102no—
433C22×D3—102no—
434C22×D3—102no—
435C2×C3×C4—22no—
436C2×C3×C4—22no—
437C2×C3×C4—22no—
438C2×C3×C4—52no—
439C2×C3×C4—101no—
440C2×C3×C4—101no—
441C2×C3×C4—108no—
442C2×C3×C4—102no—
443C2×C3×C4—102no—
444C2×C3×C4—102no—
445C2×C3×C4C2×C4×D512yes—
446C2×C3×C4C2×D2012yes—
447C2×C3×C4#70912yes—
448#67—1016no—
449C2×Dic3—22no—
450C2×Dic3—21no—
451C2×Dic3—21no—
452C2×Dic3—22no—
453C2×Dic3—52no—
454C2×Dic3—52no—
455C2×Dic3—108no—
456C2×Dic3—101no—
457C2×Dic3—101no—
458C2×Dic3—101no—
459C2×Dic3—101no—
460C2×Dic3—108no—
461C2×Dic3C2×C4×D514yes—
462C2×Dic3C2×D2012yes—
463C2×Dic3C2×D2012yes—
464C2×Dic3D4×D512yes—
465C2×Dic3#71312yes—
466D12—108no—
467C4×D3—208no—
468C22×C5C22×C4×D311yescharacteristic
469C22×C5C2×D3×D411yescharacteristic
470C22×C5C2×D3×D411yescharacteristic
471C22×C5C2×#23711yescharacteristic
472C22×C5C2×#23911yescharacteristic
473C22×C5D3×#4111yescharacteristic
474C22×C5D3×#4111yescharacteristic
475C2×D5—22no—
476C2×D5—22no—
477C2×D5—22no—
478C2×D5—22no—
479C2×D5—22no—
480C2×D5—22no—
481C2×D5—64no—
482C2×D5—64no—
483C2×D5—64no—
484C2×D5—122no—
485C2×D5—122no—
486C2×D5—122no—
487C2×D5—122no—
488C2×D5#89314yescomplemented
489C4×C5—34no—
490C4×C5—42no—
491C4×C5—64no—
492C4×C5—62no—
493C4×C5#67⋊C414yescomplemented
494Dic5—22no—
495Dic5—42no—
496Dic5—62no—
497Dic5—62no—
498C24—51no—
499C24—152no—
500C2×D4—158no—
501C2×D4—154no—
502C2×D4—304no—
503C2×D4—304no—
504C2×D4—302no—
505C2×D4—302no—
506C22×C4—31no—
507C22×C4—31no—
508C22×C4—32no—
509C22×C4—51no—
510C22×C4—54no—
511C22×C4—52no—
512C22×C4—102no—
513C22×C4—102no—
514C22×C4—154no—
515C22×C4—151no—
516C22×C4—151no—
517C22×C4—304no—
518C22×C4—304no—
519C22×C4—304no—
520C22×C4—302no—
521C22×C4—302no—
522C22×C4—302no—
523C22×C4—302no—
524C22×C4—302no—
525C22×C4C2×D3×D512yes—
526C22×C4C2×D3×D511yescharacteristic
527C4⋊C4—22no—
528C4⋊C4—34no—
529C4⋊C4—102no—
530C4⋊C4—304no—
531C22⋊C4—104no—
532C22⋊C4—158no—
533C22⋊C4—304no—
534C22⋊C4—304no—
535C22⋊C4—304no—
536C42—34no—
537C42—64no—
538C42—302no—
539C42—302no—
540C42—302no—
541C3×C5C4×#12111yescharacteristic, complemented, Hall
542C22×C3—54no—
543C22×C3—102no—
544C22×C3—102no—
545C22×C3—102no—
546C22×C3—102no—
547C22×C3—102no—
548C22×C3—102no—
549C22×C3C22×C4×D511yescharacteristic
550C22×C3C22×D2011yescharacteristic
551C22×C3C2×#70911yescharacteristic
552C22×C3C2×D4×D511yescharacteristic
553C22×C3C2×#71311yescharacteristic
554C22×C3D5×#4111yescharacteristic
555C22×C3D5×#4111yescharacteristic
556C2×D3—104no—
557C2×D3—104no—
558C2×D3—104no—
559C2×D3—202no—
560C2×D3—202no—
561C2×D3—202no—
562C2×D3—202no—
563C3×C4—42no—
564C3×C4—102no—
565C3×C4—202no—
566C3×C4C4×D2014yescomplemented
567Dic3—22no—
568Dic3—24no—
569Dic3—102no—
570Dic3—102no—
571Dic3#404114yescomplemented
572C2×C5C2×#67⋊C411yescharacteristic
573C2×C5C2×#89311yescharacteristic
574C2×C5#552211yescharacteristic
575C2×C5#559611yescharacteristic
576C2×C5D3×#12111yescharacteristic
577C2×C5#562411yescharacteristic
578C2×C5#562711yescharacteristic
579D5—24no—
580D5—124no—
581C23—52no—
582C23—52no—
583C23—52no—
584C23—101no—
585C23—101no—
586C23—101no—
587C23—101no—
588C23—154no—
589C23—302no—
590C23—302no—
591C23—302no—
592C23—302no—
593C23—302no—
594C23—302no—
595C23C22×D3×D511yescharacteristic
596D4—3016no—
597D4—308no—
598C2×C4—22no—
599C2×C4—22no—
600C2×C4—22no—
601C2×C4—32no—
602C2×C4—32no—
603C2×C4—32no—
604C2×C4—34no—
605C2×C4—32no—
606C2×C4—52no—
607C2×C4—62no—
608C2×C4—61no—
609C2×C4—61no—
610C2×C4—62no—
611C2×C4—101no—
612C2×C4—101no—
613C2×C4—108no—
614C2×C4—102no—
615C2×C4—102no—
616C2×C4—102no—
617C2×C4—152no—
618C2×C4—152no—
619C2×C4—308no—
620C2×C4—308no—
621C2×C4—301no—
622C2×C4—301no—
623C2×C4—301no—
624C2×C4—301no—
625C2×C4—608no—
626C2×C4C4×D3×D512yes—
627C2×C4D3×D2012yes—
628C2×C4#677912yes—
629C2×C3—104no—
630C2×C3C2×C4×D2011yescharacteristic
631C2×C3C2×#404111yescharacteristic
632C2×C3#6585811yescharacteristic
633C2×C3C4×D4×D511yescharacteristic
634C2×C3#6588211yescharacteristic
635C2×C3C4×#71311yescharacteristic
636C2×C3#6591411yescharacteristic
637D3—204no—
638C5#7386511yescharacteristic, complemented, Sylow
639C22—54no—
640C22—102no—
641C22—102no—
642C22—102no—
643C22—102no—
644C22—102no—
645C22—102no—
646C22—304no—
647C22—304no—
648C22—304no—
649C22—602no—
650C22—602no—
651C22—602no—
652C22—602no—
653C22C2×C4×D3×D511yescharacteristic
654C22C2×D3×D2011yescharacteristic
655C22D3×D4×D511yescharacteristic
656C22#9202411yescharacteristic
657C22D5×#23911yescharacteristic
658C22D3×#71311yescharacteristic
659C22C2×#677911yescharacteristic
660C4—34no—
661C4—42no—
662C4—64no—
663C4—62no—
664C4—102no—
665C4—202no—
666C4—302no—
667C4—302no—
668C4#9139514yescomplemented
669C3C4×#404111yescharacteristic, complemented, Sylow
670C2—104no—
671C2—604no—
672C2#1175340311yescharacteristic
673C2D5×#89311yescharacteristic
674C2D3×#404111yescharacteristic
675C2#1175388011yescharacteristic
676C2C2×#9139511yescharacteristic
677C2#1175476011yescharacteristic
678C2#1175518911yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC2×C3×C5×C4⋊C4C22
socle, cosocleC23×C3×C5C24
prime radicalC2×#91450C2
hypercenterC2×C4⋊C4D3×D5
hypocenterC3×C5C4×#121
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×C4⋊C4

Complements

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

NH ≅ G/Ntype
2. C2×#91428C2semidirect
3. C2×#91395C2semidirect
4. C2×C4×D5×Dic3C2semidirect
5. #11751089C2semidirect
6. C5×Dic3×C4⋊C4C2semidirect
7. C3×#65276C2semidirect
8. #11748881C2semidirect
9. #11748872C2semidirect
10. #11748868C2semidirect
11. #11748668C2semidirect
33. #91450C4semidirect
47. #65276D3semidirect
60. C2×D60C2×C4semidirect
68. C2×C3×C4×D5C2×C4semidirect
71. C2×#1202C2×C4semidirect
80. C2×D5×Dic3D4semidirect
85. C5×C4⋊Dic3C2×C4semidirect
87. C4×C5×Dic3D4semidirect
92. #6667C2×C4semidirect
101. Dic3×C4⋊C4D5semidirect
237. C2×C4×D5C4×D3semidirect
283. C2×C3×D5C4×D4semidirect
285. C3×C4×C5C4×D4semidirect
292. C5×Dic3#121semidirect
329. C4⋊Dic3C4×D5semidirect
335. C4×Dic3D20semidirect
488. C2×D5#893semidirect
493. C4×C5#67⋊C4semidirect
541. C3×C5C4×#121semidirect
566. C3×C4C4×D20semidirect
571. Dic3#4041semidirect
638. C5#73865semidirect
668. C4#91395semidirect
669. C3C4×#4041semidirect

Maximal subgroups

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

subgroupindex
C2×#914502
C2×#914282
C2×#913952
C2×C4×D5×Dic32
#117510892
C5×Dic3×C4⋊C42
C3×#652762
#117488812
#117488722
#117488682
#117486682
C4×#40413
#738655