Finite Group Databasebeta

← C4×#91827 #14321415

Subgroups — C4×#91827 #14321415

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×C3×C4×C5×D4C211yesmaximal, characteristic, complemented
2C2×#91827C211yesmaximal, characteristic
3C2×C4×#1220C212yesmaximal, complemented
4C2×C42×D15C211yesmaximal, characteristic, complemented
5#11751322C211yesmaximal, characteristic, complemented
6C4×#6719C212yesmaximal, complemented
7#11751088C211yesmaximal, characteristic, complemented
8#11751073C211yesmaximal, characteristic, complemented
9#11751057C212yesmaximal, complemented
10#11751045C212yesmaximal, complemented
11C4×C4⋊Dic15C211yesmaximal, characteristic, complemented
12C4×#4084—31nomaximal, Hall
13C22×C3×C5×D4C2211yescharacteristic
14C23×C3×C4×C5C2212yes—
15C22×#1220C2212yes—
16C22×C4×D15C2211yescharacteristic
17C22×C4×D15C2211yescharacteristic
18C22×C4×D15C2211yescharacteristic
19C3×C4×C5×D4—24no—
20C2×C3×C5×C4⋊C4C2211yescharacteristic
21C2×C3×C5×C22⋊C4C2212yes—
22C2×C3×C42×C5C2211yescharacteristic
23C2×#6719C2212yes—
24C2×#6719C2212yes—
25C2×#6719C2212yes—
26#91827C418yesdirect product factor
27C4×#1220—28no—
28C2×#6714C2212yes—
29C2×C4⋊Dic15C2211yescharacteristic
30C2×C4⋊Dic15C2211yescharacteristic
31C2×#6712C2212yes—
32C2×C4×Dic15C2212yes—
33C2×C4×Dic15C2211yescharacteristic
34C2×C4×Dic15C2211yescharacteristic
35C2×C4×Dic15C2211yescharacteristic
36C42×D15—24no—
37#91115C2212yes—
38#91115C2212yes—
39#91115C2212yes—
40C4×#938—51nomaximal, Hall
41C2×C4×C5×D4D311yescharacteristic, complemented
42C2×#4084—31no—
43C2×C4×C22⋊D5—32no—
44C2×C42×D5—31no—
45#65510—31no—
46C4×C22⋊Dic5—32no—
47#65276—31no—
48#65262—31no—
49#65245—32no—
50#65233—32no—
51C4×C4⋊Dic5—31no—
52C24×C3×C5C2312yes—
53C23×D15C2311yescharacteristic
54C2×C3×C5×D4—22no—
55C2×C3×C5×D4—22no—
56C2×C3×C5×D4C2×C414yescomplemented
57C22×C3×C4×C5—24no—
58C22×C3×C4×C5—24no—
59C22×C3×C4×C5—24no—
60C22×C3×C4×C5C2312yes—
61C22×C3×C4×C5C2311yescharacteristic
62C22×C3×C4×C5C2311yescharacteristic
63C22×C3×C4×C5C2311yescharacteristic
64C2×#1220—24no—
65C2×#1220—24no—
66C2×#1220C2×C418yescomplemented
67C22×Dic15C2312yes—
68C22×Dic15C2311yescharacteristic
69C22×Dic15C2312yes—
70C22×Dic15C2311yescharacteristic
71C22×Dic15C2311yescharacteristic
72C2×C4×D15—22no—
73C2×C4×D15—22no—
74C2×C4×D15—22no—
75C2×C4×D15—22no—
76C2×C4×D15—22no—
77C2×C4×D15—22no—
78C2×C4×D15—22no—
79C2×C4×D15C2×C414yescomplemented
80C2×C4×D15D414yescomplemented
81C3×C5×C4⋊C4—22no—
82C3×C5×C22⋊C4—24no—
83C3×C42×C5D414yescomplemented
84#6719—24no—
85#6719—24no—
86#6719C2×C418yescomplemented
87#6714—24no—
88C4⋊Dic15—22no—
89C4⋊Dic15C2×C414yescomplemented
90#6712—24no—
91C4×Dic15—22no—
92C4×Dic15—22no—
93C4×Dic15—22no—
94C4×Dic15—24no—
95C2×C3×C4×D4D511yescharacteristic, complemented
96C2×#938—51no—
97C2×C4×#67—52no—
98C2×C42×D3—51no—
99#5221—51no—
100C4×#217—52no—
101#4987—51no—
102#4972—51no—
103#4956—52no—
104#4944—52no—
105C4×C4⋊Dic3—51no—
106C22×C5×D4C2×D311yescharacteristic
107C23×C4×C5C2×D312yes—
108C22×C22⋊D5—32no—
109C22×C4×D5—31no—
110C22×C4×D5—31no—
111C22×C4×D5—31no—
112C4×C5×D4—24no—
113C2×C5×C4⋊C4C2×D311yescharacteristic
114C2×C5×C22⋊C4C2×D312yes—
115C2×C42×C5C2×D311yescharacteristic
116C2×C22⋊Dic5—32no—
117C2×C22⋊Dic5—32no—
118C2×C22⋊Dic5—32no—
119#4084—38no—
120C4×C22⋊D5—68no—
121C2×#685—32no—
122C2×C4⋊Dic5—31no—
123C2×C4⋊Dic5—31no—
124C2×#683—32no—
125C2×C4×Dic5—31no—
126C2×C4×Dic5—31no—
127C2×C4×Dic5—31no—
128C2×C4×Dic5—32no—
129C42×D5—64no—
130#3963—32no—
131#3963—32no—
132#3963—32no—
133C4×#121—151noSylow
134C23×C3×C5—22no—
135C23×C3×C5—22no—
136C23×C3×C5—22no—
137C23×C3×C5—22no—
138C23×C3×C5—22no—
139C23×C3×C5—22no—
140C23×C3×C5C22×C414yes—
141C23×C3×C5C2411yescharacteristic
142C22×D15—21no—
143C22×D15—21no—
144C22×D15—21no—
145C22×D15—21no—
146C22×D15C22×C412yes—
147C22×D15C2×D412yes—
148C22×D15#4112yes—
149C3×C5×D4—28no—
150C2×C3×C4×C5—21no—
151C2×C3×C4×C5—21no—
152C2×C3×C4×C5—22no—
153C2×C3×C4×C5—22no—
154C2×C3×C4×C5—22no—
155C2×C3×C4×C5—48no—
156C2×C3×C4×C5C22×C412yes—
157C2×C3×C4×C5C2×D412yes—
158C2×C3×C4×C5C2×D412yes—
159C2×C3×C4×C5C2×D412yes—
160C2×C3×C4×C5C2×D412yes—
161C2×C3×C4×C5#4112yes—
162C2×C3×C4×C5#4112yes—
163#1220—216no—
164C2×Dic15—21no—
165C2×Dic15—21no—
166C2×Dic15—21no—
167C2×Dic15—22no—
168C2×Dic15—21no—
169C2×Dic15—21no—
170C2×Dic15—21no—
171C2×Dic15—22no—
172C2×Dic15—22no—
173C2×Dic15—22no—
174C2×Dic15—22no—
175C2×Dic15C22×C414yes—
176C2×Dic15C22×C412yes—
177C2×Dic15C2×D412yes—
178C2×Dic15#4112yes—
179C4×D15—28no—
180C4×D15—28no—
181C4×D15—28no—
182C22×C3×D4C2×D511yescharacteristic
183C23×C3×C4C2×D512yes—
184C22×#67—52no—
185C22×C4×D3—51no—
186C22×C4×D3—51no—
187C22×C4×D3—51no—
188C3×C4×D4—24no—
189C2×C3×C4⋊C4C2×D511yescharacteristic
190C2×C3×C22⋊C4C2×D512yes—
191C2×C3×C42C2×D511yescharacteristic
192C2×#217—52no—
193C2×#217—52no—
194C2×#217—52no—
195#938—58no—
196C4×#67—108no—
197C2×(C2×D3)⋊C4—52no—
198C2×C4⋊Dic3—51no—
199C2×C4⋊Dic3—51no—
200C2×Dic3⋊C4—52no—
201C2×C4×Dic3—52no—
202C2×C4×Dic3—51no—
203C2×C4×Dic3—51no—
204C2×C4×Dic3—51no—
205C42×D3—104no—
206C3⋊#95—52no—
207C3⋊#95—52no—
208C3⋊#95—52no—
209C24×C5C22×D312yes—
210C23×D5—31no—
211C2×C5×D4—22no—
212C2×C5×D4—22no—
213C2×C5×D4C4×D314yescomplemented
214C22×C4×C5—24no—
215C22×C4×C5—24no—
216C22×C4×C5—24no—
217C22×C4×C5C22×D312yes—
218C22×C4×C5C22×D311yescharacteristic
219C22×C4×C5C22×D311yescharacteristic
220C22×C4×C5C22×D311yescharacteristic
221C2×C22⋊D5—38no—
222C2×C22⋊D5—64no—
223C2×C22⋊D5—64no—
224C22×Dic5—31no—
225C22×Dic5—31no—
226C22×Dic5—31no—
227C22×Dic5—32no—
228C22×Dic5—32no—
229C2×C4×D5—34no—
230C2×C4×D5—34no—
231C2×C4×D5—62no—
232C2×C4×D5—62no—
233C2×C4×D5—62no—
234C2×C4×D5—62no—
235C2×C4×D5—62no—
236C2×C4×D5—62no—
237C2×C4×D5—62no—
238C5×C4⋊C4—22no—
239C5×C22⋊C4—24no—
240C42×C5#6714yescomplemented
241C22⋊Dic5—38no—
242C22⋊Dic5—64no—
243C22⋊Dic5—64no—
244#685—64no—
245C4⋊Dic5—34no—
246C4⋊Dic5—62no—
247#683—64no—
248C4×Dic5—64no—
249C4×Dic5—62no—
250C4×Dic5—62no—
251C4×Dic5—62no—
252C2×#121—151no—
253C2×C4×D4—152no—
254C2×C4×D4D1511yescharacteristic, complemented
255C22×C42—151no—
256#390—151no—
257#389—151no—
258#388—152no—
259#386—152no—
260#380—151no—
261C4×C4⋊C4—151no—
262C4×C22⋊C4—152no—
263C22×C3×C5—24no—
264C22×C3×C5—24no—
265C22×C3×C5—24no—
266C22×C3×C5—42no—
267C22×C3×C5—42no—
268C22×C3×C5—42no—
269C22×C3×C5—42no—
270C22×C3×C5C23×C411yescharacteristic
271C22×C3×C5C22×D411yescharacteristic
272C22×C3×C5C22×D411yescharacteristic
273C22×C3×C5C2×#4111yescharacteristic
274C22×C3×C5C2×#4111yescharacteristic
275C22×C3×C5C2×#4111yescharacteristic
276C22×C3×C5C2×#4111yescharacteristic
277C2×D15—22no—
278C2×D15—22no—
279C2×D15—22no—
280C2×D15—22no—
281C2×D15—22no—
282C2×D15—22no—
283C2×D15C4×D414yescomplemented
284C3×C4×C5—22no—
285C3×C4×C5—42no—
286C3×C4×C5C4×D414yescomplemented
287C3×C4×C5#12114yescomplemented
288Dic15—22no—
289Dic15—24no—
290Dic15—22no—
291Dic15—22no—
292Dic15—42no—
293C24×C3C22×D512yes—
294C23×D3—51no—
295C2×C3×D4—22no—
296C2×C3×D4—22no—
297C2×C3×D4C4×D514yescomplemented
298C22×C3×C4—24no—
299C22×C3×C4—24no—
300C22×C3×C4—24no—
301C22×C3×C4C22×D512yes—
302C22×C3×C4C22×D511yescharacteristic
303C22×C3×C4C22×D511yescharacteristic
304C22×C3×C4C22×D511yescharacteristic
305C2×#67—58no—
306C2×#67—104no—
307C2×#67—104no—
308C22×Dic3—51no—
309C22×Dic3—51no—
310C22×Dic3—52no—
311C22×Dic3—51no—
312C22×Dic3—52no—
313C2×C4×D3—54no—
314C2×C4×D3—54no—
315C2×C4×D3—102no—
316C2×C4×D3—102no—
317C2×C4×D3—102no—
318C2×C4×D3—102no—
319C2×C4×D3—102no—
320C2×C4×D3—102no—
321C2×C4×D3—102no—
322C3×C4⋊C4—22no—
323C3×C22⋊C4—24no—
324C3×C42C22⋊D514yescomplemented
325#217—58no—
326#217—104no—
327#217—104no—
328(C2×D3)⋊C4—104no—
329C4⋊Dic3—54no—
330C4⋊Dic3—102no—
331Dic3⋊C4—104no—
332C4×Dic3—104no—
333C4×Dic3—102no—
334C4×Dic3—102no—
335C4×Dic3—102no—
336C23×C5—22no—
337C23×C5—22no—
338C23×C5—22no—
339C23×C5—22no—
340C23×C5—22no—
341C23×C5—22no—
342C23×C5C2×C4×D314yes—
343C23×C5C23×D311yescharacteristic
344C22×D5—32no—
345C22×D5—32no—
346C22×D5—32no—
347C22×D5—61no—
348C22×D5—61no—
349C22×D5—61no—
350C22×D5—61no—
351C5×D4—28no—
352C2×C4×C5—21no—
353C2×C4×C5—21no—
354C2×C4×C5—22no—
355C2×C4×C5—22no—
356C2×C4×C5—22no—
357C2×C4×C5—48no—
358C2×C4×C5C2×C4×D312yes—
359C2×C4×C5#23512yes—
360C2×C4×C5D3×D412yes—
361C2×C4×C5#23712yes—
362C2×C4×C5C2×#6712yes—
363C2×C4×C5C2×#6712yes—
364C2×C4×C5C2×#6712yes—
365C22⋊D5—616no—
366C2×Dic5—34no—
367C2×Dic5—32no—
368C2×Dic5—32no—
369C2×Dic5—32no—
370C2×Dic5—61no—
371C2×Dic5—62no—
372C2×Dic5—61no—
373C2×Dic5—61no—
374C2×Dic5—62no—
375C2×Dic5—61no—
376C2×Dic5—61no—
377C2×Dic5—61no—
378C2×Dic5—62no—
379C2×Dic5—62no—
380C2×Dic5—62no—
381C4×D5—68no—
382C4×D5—68no—
383C4×D5—68no—
384C22×D4—152no—
385C22×D4C2×D1511yescharacteristic
386C23×C4—151no—
387C23×C4—151no—
388C23×C4—151no—
389C23×C4C2×D1512yes—
390#121—158no—
391C4×D4—24no—
392C4×D4—308no—
393C2×C4⋊C4—151no—
394C2×C4⋊C4—152no—
395C2×C4⋊C4—151no—
396C2×C4⋊C4C2×D1511yescharacteristic
397C2×C22⋊C4—152no—
398C2×C22⋊C4—152no—
399C2×C22⋊C4—152no—
400C2×C22⋊C4—152no—
401C2×C22⋊C4C2×D1512yes—
402C2×C42—151no—
403C2×C42—151no—
404C2×C42—152no—
405C2×C42—151no—
406C2×C42—304no—
407C2×C42C2×D1511yescharacteristic
408#95—152no—
409#95—152no—
410#95—152no—
411C2×C3×C5—44no—
412C2×C3×C5C2×C4×D411yescharacteristic
413C2×C3×C5C2×C4×D411yescharacteristic
414C2×C3×C5C4×#4111yescharacteristic
415C2×C3×C5C2×#12111yescharacteristic
416C2×C3×C5#52511yescharacteristic
417C2×C3×C5#52911yescharacteristic
418C2×C3×C5#53211yescharacteristic
419D15—24no—
420C23×C3—22no—
421C23×C3—22no—
422C23×C3—22no—
423C23×C3—22no—
424C23×C3—22no—
425C23×C3—22no—
426C23×C3C2×C4×D514yes—
427C23×C3C23×D511yescharacteristic
428C22×D3—52no—
429C22×D3—52no—
430C22×D3—52no—
431C22×D3—101no—
432C22×D3—101no—
433C22×D3—101no—
434C22×D3—101no—
435C3×D4—28no—
436C2×C3×C4—21no—
437C2×C3×C4—21no—
438C2×C3×C4—22no—
439C2×C3×C4—22no—
440C2×C3×C4—22no—
441C2×C3×C4—48no—
442C2×C3×C4C2×C4×D512yes—
443C2×C3×C4#70912yes—
444C2×C3×C4D4×D512yes—
445C2×C3×C4#71112yes—
446C2×C3×C4C2×C22⋊D512yes—
447C2×C3×C4C2×C22⋊D512yes—
448C2×C3×C4C2×C22⋊D512yes—
449#67—1016no—
450C2×Dic3—54no—
451C2×Dic3—52no—
452C2×Dic3—52no—
453C2×Dic3—52no—
454C2×Dic3—101no—
455C2×Dic3—102no—
456C2×Dic3—101no—
457C2×Dic3—101no—
458C2×Dic3—102no—
459C2×Dic3—101no—
460C2×Dic3—101no—
461C2×Dic3—101no—
462C2×Dic3—102no—
463C2×Dic3—102no—
464C2×Dic3—102no—
465C4×D3—108no—
466C4×D3—108no—
467C4×D3—108no—
468C22×C5—24no—
469C22×C5—24no—
470C22×C5—24no—
471C22×C5—42no—
472C22×C5—42no—
473C22×C5—42no—
474C22×C5—42no—
475C22×C5C22×C4×D311yescharacteristic
476C22×C5C2×#23511yescharacteristic
477C22×C5C2×D3×D411yescharacteristic
478C22×C5C2×#23711yescharacteristic
479C22×C5D3×#4111yescharacteristic
480C22×C5D3×#4111yescharacteristic
481C22×C5C22×#6711yescharacteristic
482C2×D5—34no—
483C2×D5—62no—
484C2×D5—62no—
485C2×D5—62no—
486C2×D5—62no—
487C2×D5—62no—
488C2×D5—62no—
489C4×C5—22no—
490C4×C5—42no—
491C4×C5C4×#6714yescomplemented
492C4×C5#93814yescomplemented
493Dic5—62no—
494Dic5—64no—
495Dic5—62no—
496Dic5—62no—
497Dic5—122no—
498C24—151no—
499C24C22×D1512yes—
500C2×D4—22no—
501C2×D4—22no—
502C2×D4—158no—
503C2×D4—304no—
504C2×D4—304no—
505C2×D4C4×D1514yescomplemented
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—151no—
510C22×C4—151no—
511C22×C4—152no—
512C22×C4—151no—
513C22×C4—154no—
514C22×C4—154no—
515C22×C4—152no—
516C22×C4—302no—
517C22×C4—302no—
518C22×C4—302no—
519C22×C4—302no—
520C22×C4—302no—
521C22×C4—302no—
522C22×C4—302no—
523C22×C4C22×D1512yes—
524C22×C4C22×D1511yescharacteristic
525C22×C4C22×D1511yescharacteristic
526C22×C4C22×D1511yescharacteristic
527C4⋊C4—22no—
528C4⋊C4—154no—
529C4⋊C4—304no—
530C4⋊C4—302no—
531C22⋊C4—24no—
532C22⋊C4—158no—
533C22⋊C4—304no—
534C22⋊C4—304no—
535C22⋊C4—304no—
536C42—304no—
537C42—302no—
538C42—302no—
539C42—302no—
540C42#122014yescomplemented
541C3×C5C4×#12111yescharacteristic, complemented, Hall
542C22×C3—24no—
543C22×C3—24no—
544C22×C3—24no—
545C22×C3—42no—
546C22×C3—42no—
547C22×C3—42no—
548C22×C3—42no—
549C22×C3C22×C4×D511yescharacteristic
550C22×C3C2×#70911yescharacteristic
551C22×C3C2×D4×D511yescharacteristic
552C22×C3C2×#71111yescharacteristic
553C22×C3D5×#4111yescharacteristic
554C22×C3D5×#4111yescharacteristic
555C22×C3C22×C22⋊D511yescharacteristic
556C2×D3—54no—
557C2×D3—102no—
558C2×D3—102no—
559C2×D3—102no—
560C2×D3—102no—
561C2×D3—102no—
562C2×D3—102no—
563C3×C4—22no—
564C3×C4—42no—
565C3×C4C4×C22⋊D514yescomplemented
566C3×C4#408414yescomplemented
567Dic3—102no—
568Dic3—104no—
569Dic3—102no—
570Dic3—102no—
571Dic3—202no—
572C2×C5—44no—
573C2×C5C4×#23711yescharacteristic
574C2×C5C4×D3×D411yescharacteristic
575C2×C5#554811yescharacteristic
576C2×C5#555711yescharacteristic
577C2×C5C2×C4×#6711yescharacteristic
578C2×C5C2×#93811yescharacteristic
579C2×C5#582811yescharacteristic
580D5—64no—
581C23—22no—
582C23—22no—
583C23—22no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—152no—
588C23—152no—
589C23—152no—
590C23—301no—
591C23—301no—
592C23—301no—
593C23—301no—
594C23C2×C4×D1514yes—
595C23C23×D1511yescharacteristic
596D4—28no—
597D4—3016no—
598C2×C4—21no—
599C2×C4—21no—
600C2×C4—22no—
601C2×C4—22no—
602C2×C4—22no—
603C2×C4—48no—
604C2×C4—152no—
605C2×C4—154no—
606C2×C4—152no—
607C2×C4—152no—
608C2×C4—308no—
609C2×C4—301no—
610C2×C4—302no—
611C2×C4—301no—
612C2×C4—301no—
613C2×C4—302no—
614C2×C4—301no—
615C2×C4—301no—
616C2×C4—301no—
617C2×C4—308no—
618C2×C4—308no—
619C2×C4—302no—
620C2×C4—302no—
621C2×C4—302no—
622C2×C4C2×C4×D1512yes—
623C2×C4#681712yes—
624C2×C4D4×D1512yes—
625C2×C4#681912yes—
626C2×C4C2×#122012yes—
627C2×C4C2×#122012yes—
628C2×C4C2×#122012yes—
629C2×C3—44no—
630C2×C3C4×#71111yescharacteristic
631C2×C3C4×D4×D511yescharacteristic
632C2×C3#6588211yescharacteristic
633C2×C3#6589111yescharacteristic
634C2×C3C2×C4×C22⋊D511yescharacteristic
635C2×C3C2×#408411yescharacteristic
636C2×C3#6616211yescharacteristic
637D3—104no—
638C5C4×#93811yescharacteristic, complemented, Sylow
639C22—24no—
640C22—24no—
641C22—24no—
642C22—42no—
643C22—42no—
644C22—42no—
645C22—42no—
646C22—154no—
647C22—302no—
648C22—302no—
649C22—302no—
650C22—302no—
651C22—302no—
652C22—302no—
653C22C22×C4×D1511yescharacteristic
654C22C2×#681711yescharacteristic
655C22C2×D4×D1511yescharacteristic
656C22C2×#681911yescharacteristic
657C22#41×D1511yescharacteristic
658C22#41×D1511yescharacteristic
659C22C22×#122011yescharacteristic
660C4—22no—
661C4—42no—
662C4—302no—
663C4—304no—
664C4—302no—
665C4—302no—
666C4—602no—
667C4C4×#122014yescomplemented
668C4#9182714yesdirect product factor
669C3C4×#408411yescharacteristic, complemented, Sylow
670C2—44no—
671C2—304no—
672C2C4×#681911yescharacteristic
673C2C4×D4×D1511yescharacteristic
674C2#1175630711yescharacteristic
675C2#1175631611yescharacteristic
676C2C2×C4×#122011yescharacteristic
677C2C2×#9182711yescharacteristic
678C2#1175658711yescharacteristic
subgroupG/H
centerC22×C4C22×D15
commutatorC22×C3×C5C23×C4
FrattiniC23C23×D15
FittingC2×C3×C4×C5×D4C2
socle, cosocleC23×C3×C5C24
prime radicalC2×#91827C2
hypercenterC2×C4×D4D15
hypocenterC3×C5C4×#121
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C22×C4 ◁ C2×C4×D4

Complements

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

NH ≅ G/Ntype
1. C2×C3×C4×C5×D4C2semidirect
3. C2×C4×#1220C2semidirect
4. C2×C42×D15C2semidirect
5. #11751322C2semidirect
6. C4×#6719C2semidirect
7. #11751088C2semidirect
8. #11751073C2semidirect
9. #11751057C2semidirect
10. #11751045C2semidirect
11. C4×C4⋊Dic15C2semidirect
26. #91827C4direct (N × H)
41. C2×C4×C5×D4D3semidirect
56. C2×C3×C5×D4C2×C4semidirect
66. C2×#1220C2×C4semidirect
79. C2×C4×D15C2×C4semidirect
80. C2×C4×D15D4semidirect
83. C3×C42×C5D4semidirect
86. #6719C2×C4semidirect
89. C4⋊Dic15C2×C4semidirect
95. C2×C3×C4×D4D5semidirect
213. C2×C5×D4C4×D3semidirect
240. C42×C5#67semidirect
254. C2×C4×D4D15semidirect
283. C2×D15C4×D4semidirect
286. C3×C4×C5C4×D4semidirect
287. C3×C4×C5#121semidirect
297. C2×C3×D4C4×D5semidirect
324. C3×C42C22⋊D5semidirect
491. C4×C5C4×#67semidirect
492. C4×C5#938semidirect
505. C2×D4C4×D15semidirect
540. C42#1220semidirect
541. C3×C5C4×#121semidirect
565. C3×C4C4×C22⋊D5semidirect
566. C3×C4#4084semidirect
638. C5C4×#938semidirect
667. C4C4×#1220semidirect
668. C4#91827direct (N × H)
669. C3C4×#4084semidirect

Maximal subgroups

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

subgroupindex
C2×C3×C4×C5×D42
C2×#918272
C2×C4×#12202
C2×C42×D152
#117513222
C4×#67192
#117510882
#117510732
#117510572
#117510452
C4×C4⋊Dic152
C4×#40843
C4×#9385