Finite Group Databasebeta

← #14329477

Subgroups — #14329477

Order 1920.

1664 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×C3×C4×D20C211yesmaximal, characteristic, complemented
2C2×#91458C211yesmaximal, characteristic
3C2×#91444C212yesmaximal, complemented
4C2×#91428C211yesmaximal, characteristic, complemented
5#11751040C211yesmaximal, characteristic, complemented
6C4×C5×Dic3⋊C4C211yesmaximal, characteristic, complemented
7#11748913C212yesmaximal, complemented
8#11748907C212yesmaximal, complemented
9#11748785C211yesmaximal, characteristic, complemented
10#11748700C212yesmaximal, complemented
11Dic3×C4⋊Dic5C211yesmaximal, characteristic, complemented
12#10605384—31nomaximal, Hall
13C22×D60C2211yescharacteristic
14C22×C3×D20C2211yescharacteristic
15C22×C3×C4×D5C2212yes—
16C22×#1202C2212yes—
17C22×#1202C2212yes—
18C22×#1200C2212yes—
19C2×C3×C42×C5C2211yescharacteristic
20C2×#6714C2212yes—
21C2×#6714C2212yes—
22C2×C4⋊Dic15C2211yescharacteristic
23C2×C5×Dic3⋊C4C2211yescharacteristic
24C2×C5×Dic3⋊C4C2211yescharacteristic
25C2×C4×C5×Dic3C2211yescharacteristic
26C2×C4×C5×Dic3C2211yescharacteristic
27C2×C3×#685C2212yes—
28C2×C3×C4⋊Dic5C2211yescharacteristic
29C3×C4×D20—24no—
30C2×#6667C2212yes—
31C2×#6665C2212yes—
32C2×#6665C2212yes—
33C2×Dic3×Dic5C2212yes—
34#91458C418yescomplemented
35#91444—28no—
36#91428—24no—
37C5×C3⋊#95C2211yescharacteristic
38C5×C3⋊#95C2211yescharacteristic
39#90994C2212yes—
40#82343—51nomaximal, Hall
41C2×#4039—32no—
42C2×#4020—31no—
43C2×C4×D20—31no—
44C2×C4×D20D311yescharacteristic, complemented
45C4×C5×C4⋊C4—31no—
46#65277—32no—
47#65228—31no—
48#65228—31no—
49C4×C4⋊Dic5—31no—
50#64954—32no—
51#64954—32no—
52C23×D15C2312yes—
53C23×C3×D5C2312yes—
54C22×C3×C4×C5C2311yescharacteristic
55C22×C3×C4×C5C2311yescharacteristic
56C22×C3×C4×C5C2311yescharacteristic
57C22×Dic15C2312yes—
58C2×D60—22no—
59C2×D60—22no—
60C2×D60C2×C414yescomplemented
61C22×C5×Dic3C2311yescharacteristic
62C22×C5×Dic3C2311yescharacteristic
63C22×C5×Dic3C2311yescharacteristic
64C22×C5×Dic3C2311yescharacteristic
65C22×C3×Dic5C2312yes—
66C2×C3×D20—22no—
67C2×C3×D20—22no—
68C2×C3×D20C2×C414yescomplemented
69C2×C3×C4×D5—24no—
70C2×C3×C4×D5—24no—
71C2×C3×C4×D5—42no—
72C2×#1202—24no—
73C2×#1202—24no—
74C2×#1202—42no—
75C2×#1202—42no—
76C2×#1202C2×C418yescomplemented
77C2×#1202C2×C418yescomplemented
78C2×#1200—24no—
79C2×#1200—24no—
80C2×#1200—42no—
81C3×C42×C5—22no—
82#6714—24no—
83#6714—42no—
84C4⋊Dic15—22no—
85C5×Dic3⋊C4—22no—
86C5×Dic3⋊C4D414yescomplemented
87C4×C5×Dic3—22no—
88C4×C5×Dic3C2×C414yescomplemented
89C3×#685—24no—
90C3×C4⋊Dic5D414yescomplemented
91#6667—24no—
92#6665—24no—
93#6665—42no—
94Dic3×Dic5—24no—
95C2×C3×C4×D4—51no—
96C2×#940—51no—
97C2×C4×#67—52no—
98C2×#893—51no—
99#5221—51no—
100#5213—52no—
101Dic3×C4⋊C4—51no—
102#4957—52no—
103#4956—52no—
104#4939—51no—
105C4×Dic3⋊C4D511yescharacteristic, complemented
106C22×D20—32no—
107C22×D20—31no—
108C22×D20—32no—
109C22×D20C2×D311yescharacteristic
110C22×C4×D5—32no—
111C22×C4×D5C2×D312yes—
112C2×C5×C4⋊C4—31no—
113C2×C5×C4⋊C4—31no—
114C2×C42×C5—31no—
115C2×C42×C5—31no—
116C2×C42×C5C2×D311yescharacteristic
117C2×#685—32no—
118C2×#685—32no—
119C2×#685—32no—
120C2×#685—32no—
121C2×#685—32no—
122C2×#685C2×D312yes—
123C2×C4⋊Dic5—31no—
124C2×C4⋊Dic5C2×D311yescharacteristic
125C2×C4×Dic5—32no—
126#4039—68no—
127#4020—38no—
128C4×D20—24no—
129C4×D20—64no—
130C5×#95—31no—
131C5×#95—31no—
132#3963—32no—
133#2366—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—22no—
143C22×C3×D5—22no—
144C22×C3×D5—22no—
145C22×C3×D5—22no—
146C22×C3×D5—22no—
147C22×C3×D5—22no—
148C22×C3×D5C22×C414yes—
149C2×C3×C4×C5—21no—
150C2×C3×C4×C5—21no—
151C2×C3×C4×C5—21no—
152C2×C3×C4×C5—21no—
153C2×C3×C4×C5—21no—
154C2×C3×C4×C5C22×C412yes—
155C2×C3×C4×C5C2×D412yes—
156C2×C3×C4×C5C2×D412yes—
157C2×C3×C4×C5#4112yes—
158C2×Dic15—22no—
159C2×Dic15—22no—
160C2×Dic15—22no—
161D60—28no—
162C2×C5×Dic3—21no—
163C2×C5×Dic3—21no—
164C2×C5×Dic3—21no—
165C2×C5×Dic3—21no—
166C2×C5×Dic3—21no—
167C2×C5×Dic3—21no—
168C2×C5×Dic3—21no—
169C2×C5×Dic3C22×C412yes—
170C2×C5×Dic3C22×C412yes—
171C2×C5×Dic3C2×D412yes—
172C2×C5×Dic3C2×D412yes—
173C2×C5×Dic3#4112yes—
174C2×C3×Dic5—22no—
175C2×C3×Dic5—22no—
176C2×C3×Dic5C2×D414yes—
177C3×D20—28no—
178C3×C4×D5—48no—
179#1202—216no—
180#1202—48no—
181#1200—48no—
182C22×C3×D4—51no—
183C23×C3×C4—52no—
184C22×#67—52no—
185C22×#67—52no—
186C22×D12—51no—
187C22×C4×D3—52no—
188C3×C4×D4—104no—
189C2×C3×C4⋊C4—51no—
190C2×C3×C22⋊C4—52no—
191C2×C3×C42C2×D511yescharacteristic
192C2×#217—52no—
193C2×#217—52no—
194#940—58no—
195C4×#67—108no—
196C2×(C2×D3)⋊C4—52no—
197C2×(C2×D3)⋊C4—52no—
198C2×(C2×D3)⋊C4—52no—
199C2×C4⋊Dic3—51no—
200C2×Dic3⋊C4C2×D511yescharacteristic
201C2×Dic3⋊C4C2×D511yescharacteristic
202C2×C4×Dic3—52no—
203C2×C4×Dic3C2×D511yescharacteristic
204C2×C4×Dic3C2×D511yescharacteristic
205#893—104no—
206C3⋊#95—52no—
207C3⋊#95C2×D511yescharacteristic
208C3⋊#95C2×D511yescharacteristic
209C23×D5—32no—
210C23×D5C22×D312yes—
211C22×C4×C5—31no—
212C22×C4×C5—31no—
213C22×C4×C5—31no—
214C22×C4×C5—31no—
215C22×C4×C5C22×D311yescharacteristic
216C22×C4×C5C22×D311yescharacteristic
217C22×C4×C5C22×D311yescharacteristic
218C22×Dic5—32no—
219C22×Dic5C22×D312yes—
220C2×D20—22no—
221C2×D20—22no—
222C2×D20—38no—
223C2×D20—34no—
224C2×D20—38no—
225C2×D20—64no—
226C2×D20—64no—
227C2×D20—62no—
228C2×D20—62no—
229C2×D20—122no—
230C2×D20—122no—
231C2×D20C4×D314yescomplemented
232C2×C4×D5—24no—
233C2×C4×D5—24no—
234C2×C4×D5—42no—
235C2×C4×D5—64no—
236C2×C4×D5—64no—
237C2×C4×D5—122no—
238C5×C4⋊C4—34no—
239C5×C4⋊C4—62no—
240C42×C5—22no—
241C42×C5—34no—
242C42×C5—62no—
243#685—24no—
244#685—64no—
245#685—64no—
246#685—64no—
247#685—122no—
248#685—122no—
249C4⋊Dic5—62no—
250C4⋊Dic5#6714yescomplemented
251C4×Dic5—64no—
252C2×#127—151no—
253C2×C4×D4—51no—
254C2×C4×D4—151no—
255C2×C4×D4—152no—
256#390—151no—
257#390—152no—
258#390—151no—
259#386—152no—
260#386—152no—
261C4×C4⋊C4—31no—
262C4×C4⋊C4—151no—
263C22×C3×C5C23×C411yescharacteristic
264C22×C3×C5C22×D411yescharacteristic
265C22×C3×C5C22×D411yescharacteristic
266C22×C3×C5C2×#4111yescharacteristic
267C22×C3×C5C2×#4111yescharacteristic
268C22×C3×C5H(5,𝔽2)11yescharacteristic
269C22×C3×C5H(5,𝔽2)11yescharacteristic
270C2×D15—24no—
271C2×D15—24no—
272C2×D15—24no—
273C2×D15—42no—
274C2×D15—42no—
275C2×D15—42no—
276C2×D15—42no—
277C2×C3×D5—24no—
278C2×C3×D5—24no—
279C2×C3×D5—24no—
280C2×C3×D5—42no—
281C2×C3×D5—42no—
282C2×C3×D5—42no—
283C2×C3×D5—42no—
284C3×C4×C5—22no—
285C3×C4×C5—41no—
286C3×C4×C5C4×D414yescomplemented
287Dic15—42no—
288C3×Dic5—24no—
289C5×Dic3—22no—
290C5×Dic3—22no—
291C5×Dic3—41no—
292C5×Dic3C4×D414yescomplemented
293C24×C3—52no—
294C23×D3—52no—
295C2×C3×D4—54no—
296C2×C3×D4—102no—
297C2×C3×D4—102no—
298C22×C3×C4—52no—
299C22×C3×C4—104no—
300C22×C3×C4—104no—
301C22×C3×C4—202no—
302C22×C3×C4C22×D511yescharacteristic
303C22×C3×C4C22×D511yescharacteristic
304C22×C3×C4C22×D511yescharacteristic
305C2×#67—58no—
306C2×#67—58no—
307C2×#67—104no—
308C2×#67—104no—
309C2×#67—202no—
310C2×#67—202no—
311C22×Dic3—52no—
312C22×Dic3C22×D511yescharacteristic
313C22×Dic3C22×D511yescharacteristic
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—202no—
322C3×C4⋊C4—54no—
323C3×C22⋊C4—104no—
324C3×C42—22no—
325#217—104no—
326#217—202no—
327(C2×D3)⋊C4—104no—
328(C2×D3)⋊C4—104no—
329(C2×D3)⋊C4—202no—
330C4⋊Dic3—102no—
331Dic3⋊C4—22no—
332Dic3⋊C4D2014yescomplemented
333C4×Dic3—22no—
334C4×Dic3—104no—
335C4×Dic3C4×D514yescomplemented
336C23×C5C23×D311yescharacteristic
337C22×D5—22no—
338C22×D5—22no—
339C22×D5—22no—
340C22×D5—22no—
341C22×D5—22no—
342C22×D5—22no—
343C22×D5—34no—
344C22×D5—62no—
345C22×D5—62no—
346C22×D5—62no—
347C22×D5—62no—
348C22×D5—62no—
349C22×D5—62no—
350C22×D5C2×C4×D314yes—
351C2×C4×C5—21no—
352C2×C4×C5—21no—
353C2×C4×C5—21no—
354C2×C4×C5—21no—
355C2×C4×C5—21no—
356C2×C4×C5—32no—
357C2×C4×C5—32no—
358C2×C4×C5—32no—
359C2×C4×C5—32no—
360C2×C4×C5—32no—
361C2×C4×C5—61no—
362C2×C4×C5—61no—
363C2×C4×C5—61no—
364C2×C4×C5—61no—
365C2×C4×C5—61no—
366C2×C4×C5—61no—
367C2×C4×C5—61no—
368C2×C4×C5C2×C4×D312yes—
369C2×C4×C5#23512yes—
370C2×C4×C5D3×D412yes—
371C2×C4×C5C2×#6712yes—
372C2×Dic5—22no—
373C2×Dic5—22no—
374C2×Dic5—62no—
375C2×Dic5—62no—
376C2×Dic5—62no—
377C2×Dic5C2×#6714yes—
378D20—28no—
379D20—616no—
380D20—68no—
381D20—128no—
382C4×D5—48no—
383C4×D5—128no—
384C22×D4—51no—
385C22×D4—152no—
386C22×D4—152no—
387C22×D4—151no—
388C23×C4—52no—
389C23×C4—152no—
390#127—158no—
391C4×D4—104no—
392C4×D4—304no—
393C4×D4—308no—
394C2×C4⋊C4—31no—
395C2×C4⋊C4—31no—
396C2×C4⋊C4—51no—
397C2×C4⋊C4—151no—
398C2×C22⋊C4—52no—
399C2×C22⋊C4—152no—
400C2×C22⋊C4—152no—
401C2×C22⋊C4—152no—
402C2×C22⋊C4—152no—
403C2×C22⋊C4—152no—
404C2×C42—31no—
405C2×C42—31no—
406C2×C42—152no—
407C2×C42D3×D511yescharacteristic
408#95—31no—
409#95—31no—
410#95—152no—
411C2×C3×C5C2×C4×D411yescharacteristic
412C2×C3×C5C2×C4×D411yescharacteristic
413C2×C3×C5#51811yescharacteristic
414C2×C3×C5D4211yescharacteristic
415C2×C3×C5#55011yescharacteristic
416C2×C3×C5#55011yescharacteristic
417C2×C3×C5#55911yescharacteristic
418D15—44no—
419C3×D5—44no—
420C23×C3—54no—
421C23×C3—102no—
422C23×C3—102no—
423C23×C3—102no—
424C23×C3—102no—
425C23×C3—102no—
426C23×C3—102no—
427C23×C3C23×D511yescharacteristic
428C22×D3—54no—
429C22×D3—102no—
430C22×D3—102no—
431C22×D3—102no—
432C22×D3—102no—
433C22×D3—102no—
434C22×D3—102no—
435C3×D4—108no—
436C2×C3×C4—21no—
437C2×C3×C4—21no—
438C2×C3×C4—21no—
439C2×C3×C4—21no—
440C2×C3×C4—21no—
441C2×C3×C4—54no—
442C2×C3×C4—102no—
443C2×C3×C4—102no—
444C2×C3×C4—208no—
445C2×C3×C4C2×C4×D512yes—
446C2×C3×C4C2×D2012yes—
447C2×C3×C4D4×D512yes—
448C2×C3×C4#71312yes—
449#67—1016no—
450#67—208no—
451C2×Dic3—21no—
452C2×Dic3—21no—
453C2×Dic3—21no—
454C2×Dic3—21no—
455C2×Dic3—21no—
456C2×Dic3—21no—
457C2×Dic3—21no—
458C2×Dic3—102no—
459C2×Dic3—102no—
460C2×Dic3—102no—
461C2×Dic3C2×C4×D512yes—
462C2×Dic3C2×C4×D512yes—
463C2×Dic3C2×D2012yes—
464C2×Dic3C2×D2012yes—
465C2×Dic3#70912yes—
466D12—108no—
467C4×D3—208no—
468C22×C5C22×C4×D311yescharacteristic
469C22×C5C2×#23511yescharacteristic
470C22×C5C2×D3×D411yescharacteristic
471C22×C5#100411yescharacteristic
472C22×C5D3×#4111yescharacteristic
473C22×C5#100911yescharacteristic
474C22×C5C22×#6711yescharacteristic
475C2×D5—24no—
476C2×D5—24no—
477C2×D5—24no—
478C2×D5—42no—
479C2×D5—42no—
480C2×D5—42no—
481C2×D5—42no—
482C2×D5—64no—
483C2×D5—64no—
484C2×D5—64no—
485C2×D5—122no—
486C2×D5—122no—
487C2×D5—122no—
488C2×D5—122no—
489C4×C5—22no—
490C4×C5—34no—
491C4×C5—41no—
492C4×C5—62no—
493C4×C5—62no—
494C4×C5—121no—
495C4×C5C4×#6714yescomplemented
496Dic5—24no—
497Dic5—122no—
498C24—52no—
499C24—152no—
500C2×D4—54no—
501C2×D4—102no—
502C2×D4—102no—
503C2×D4—158no—
504C2×D4—158no—
505C2×D4—154no—
506C2×D4—304no—
507C2×D4—304no—
508C2×D4—302no—
509C2×D4—302no—
510C2×D4—602no—
511C2×D4—602no—
512C22×C4—31no—
513C22×C4—31no—
514C22×C4—31no—
515C22×C4—31no—
516C22×C4—52no—
517C22×C4—104no—
518C22×C4—104no—
519C22×C4—152no—
520C22×C4—202no—
521C22×C4—304no—
522C22×C4—304no—
523C22×C4—602no—
524C22×C4C2×D3×D511yescharacteristic
525C22×C4C2×D3×D511yescharacteristic
526C22×C4C2×D3×D511yescharacteristic
527C4⋊C4—34no—
528C4⋊C4—54no—
529C4⋊C4—62no—
530C4⋊C4—302no—
531C22⋊C4—104no—
532C22⋊C4—304no—
533C22⋊C4—304no—
534C22⋊C4—304no—
535C22⋊C4—602no—
536C22⋊C4—602no—
537C42—22no—
538C42—34no—
539C42—62no—
540C42—304no—
541C3×C5#236611yescharacteristic, complemented, Hall
542C22×C3—104no—
543C22×C3—104no—
544C22×C3—104no—
545C22×C3—202no—
546C22×C3—202no—
547C22×C3—202no—
548C22×C3—202no—
549C22×C3C22×C4×D511yescharacteristic
550C22×C3C22×D2011yescharacteristic
551C22×C3C2×#70911yescharacteristic
552C22×C3C2×D4×D511yescharacteristic
553C22×C3C2×#71311yescharacteristic
554C22×C3#414911yescharacteristic
555C22×C3#414911yescharacteristic
556C2×D3—104no—
557C2×D3—104no—
558C2×D3—104no—
559C2×D3—202no—
560C2×D3—202no—
561C2×D3—202no—
562C2×D3—202no—
563C3×C4—22no—
564C3×C4—41no—
565C3×C4—104no—
566C3×C4#403914yescomplemented
567Dic3—22no—
568Dic3—22no—
569Dic3—41no—
570Dic3—202no—
571Dic3C4×D2014yescomplemented
572C2×C5C4×D3×D411yescharacteristic
573C2×C5#554511yescharacteristic
574C2×C5#555311yescharacteristic
575C2×C5#555911yescharacteristic
576C2×C5C2×C4×#6711yescharacteristic
577C2×C5D4×#6711yescharacteristic
578C2×C5#583411yescharacteristic
579D5—44no—
580D5—124no—
581C23—54no—
582C23—102no—
583C23—102no—
584C23—102no—
585C23—102no—
586C23—102no—
587C23—102no—
588C23—154no—
589C23—302no—
590C23—302no—
591C23—302no—
592C23—302no—
593C23—302no—
594C23—302no—
595C23C22×D3×D511yescharacteristic
596D4—108no—
597D4—3016no—
598D4—308no—
599D4—608no—
600C2×C4—21no—
601C2×C4—21no—
602C2×C4—21no—
603C2×C4—21no—
604C2×C4—21no—
605C2×C4—32no—
606C2×C4—32no—
607C2×C4—32no—
608C2×C4—32no—
609C2×C4—32no—
610C2×C4—54no—
611C2×C4—61no—
612C2×C4—61no—
613C2×C4—61no—
614C2×C4—61no—
615C2×C4—61no—
616C2×C4—61no—
617C2×C4—61no—
618C2×C4—102no—
619C2×C4—102no—
620C2×C4—208no—
621C2×C4—302no—
622C2×C4—302no—
623C2×C4—302no—
624C2×C4—608no—
625C2×C4#677312yes—
626C2×C4C4×D3×D512yes—
627C2×C4D3×D2012yes—
628C2×C4D5×#6712yes—
629C2×C3—204no—
630C2×C3C2×C4×D2011yescharacteristic
631C2×C3C2×#403911yescharacteristic
632C2×C3#6585511yescharacteristic
633C2×C3D4×D2011yescharacteristic
634C2×C3#6588711yescharacteristic
635C2×C3#6591111yescharacteristic
636C2×C3#6591911yescharacteristic
637D3—204no—
638C5#8234311yescharacteristic, complemented, Sylow
639C22—104no—
640C22—104no—
641C22—104no—
642C22—202no—
643C22—202no—
644C22—202no—
645C22—202no—
646C22—304no—
647C22—304no—
648C22—304no—
649C22—602no—
650C22—602no—
651C22—602no—
652C22—602no—
653C22C2×#677311yescharacteristic
654C22C2×C4×D3×D511yescharacteristic
655C22C2×D3×D2011yescharacteristic
656C22D3×#70911yescharacteristic
657C22#9201711yescharacteristic
658C22#9201911yescharacteristic
659C22C2×D5×#6711yescharacteristic
660C4—22no—
661C4—34no—
662C4—41no—
663C4—62no—
664C4—62no—
665C4—104no—
666C4—121no—
667C4—602no—
668C4#9144414yescomplemented
669C3#1060538411yescharacteristic, complemented, Sylow
670C2—204no—
671C2—604no—
672C2#1175267711yescharacteristic
673C2#1175270011yescharacteristic
674C2C4×D3×D2011yescharacteristic
675C2#1175272711yescharacteristic
676C2C2×#9144411yescharacteristic
677C2#1175453011yescharacteristic
678C2#67×D2011yescharacteristic
subgroupG/H
center, FrattiniC23C22×D3×D5
commutatorC22×C3×C5C23×C4
FittingC2×C3×C42×C5C22
socle, cosocleC23×C3×C5C24
prime radicalC2×#91458C2
hypercenterC2×C42D3×D5
hypocenterC3×C5#2366
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×C42

Complements

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

NH ≅ G/Ntype
1. C2×C3×C4×D20C2semidirect
3. C2×#91444C2semidirect
4. C2×#91428C2semidirect
5. #11751040C2semidirect
6. C4×C5×Dic3⋊C4C2semidirect
7. #11748913C2semidirect
8. #11748907C2semidirect
9. #11748785C2semidirect
10. #11748700C2semidirect
11. Dic3×C4⋊Dic5C2semidirect
34. #91458C4semidirect
44. C2×C4×D20D3semidirect
60. C2×D60C2×C4semidirect
68. C2×C3×D20C2×C4semidirect
76. C2×#1202C2×C4semidirect
77. C2×#1202C2×C4semidirect
86. C5×Dic3⋊C4D4semidirect
88. C4×C5×Dic3C2×C4semidirect
90. C3×C4⋊Dic5D4semidirect
105. C4×Dic3⋊C4D5semidirect
231. C2×D20C4×D3semidirect
250. C4⋊Dic5#67semidirect
286. C3×C4×C5C4×D4semidirect
292. C5×Dic3C4×D4semidirect
332. Dic3⋊C4D20semidirect
335. C4×Dic3C4×D5semidirect
495. C4×C5C4×#67semidirect
541. C3×C5#2366semidirect
566. C3×C4#4039semidirect
571. Dic3C4×D20semidirect
638. C5#82343semidirect
668. C4#91444semidirect
669. C3#10605384semidirect

Maximal subgroups

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

subgroupindex
C2×C3×C4×D202
C2×#914582
C2×#914442
C2×#914282
#117510402
C4×C5×Dic3⋊C42
#117489132
#117489072
#117487852
#117487002
Dic3×C4⋊Dic52
#106053843
#823435