Finite Group Databasebeta

← C2×#11753835 #14478751

Subgroups — C2×#11753835 #14478751

Order 1920.

3760 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
1C22×C4×D3×D5C211yesmaximal, characteristic
2C2×C4⋊C4×D15C211yesmaximal, characteristic, complemented
3C2×C5×#892C211yesmaximal, characteristic, complemented
4C2×C3×#4038C211yesmaximal, characteristic, complemented
5C2×#91473C212yesmaximal
6C2×#91437C211yesmaximal, characteristic, complemented
7C2×C4×#1200C212yesmaximal, complemented
8C2×#91398C212yesmaximal, complemented
9C2×#91393C212yesmaximal, complemented
10C2×#91358C211yesmaximal, characteristic, complemented
11C2×#91338C211yesmaximal, characteristic, complemented
12#11753835C2116yesmaximal, direct product factor
13C2×D5×#117—31nomaximal, Hall
14C23×D3×D5C2211yescharacteristic
15C22×C4×D15C2212yes—
16C22×C4×D15C2211yescharacteristic
17C22×C4×C5×D3C2211yescharacteristic
18C22×C3×C4×D5C2211yescharacteristic
19C22×#1200C2212yes—
20C22×#1200C2211yescharacteristic
21C22×D3×Dic5C2211yescharacteristic
22C22×D5×Dic3C2211yescharacteristic
23C2×C4×D3×D5C4116yescomplemented
24C2×C4×D3×D5C2218yes—
25C2×C3×C5×C4⋊C4C2211yescharacteristic, complemented
26C2×C4⋊Dic15C2211yescharacteristic, complemented
27C2×#6712C2212yescomplemented
28C4⋊C4×D15C2218yescomplemented
29C2×C5×(C2×D3)⋊C4C2212yes—
30C2×C5×C4⋊Dic3C2211yescharacteristic, complemented
31C2×C4×C5×Dic3C2212yescomplemented
32C5×#892C2218yescomplemented
33C2×C3×#685C2212yes—
34C2×C3×C4⋊Dic5C2211yescharacteristic, complemented
35C2×C3×C4×Dic5C2212yescomplemented
36C3×#4038C2218yescomplemented
37C2×#6669C2212yescomplemented
38C2×(C2×D3)⋊Dic5C2212yes—
39C2×#6665C2212yes—
40C2×Dic3×Dic5C2212yescomplemented
41C2×Dic3×Dic5C2212yescomplemented
42#91473C22116yes—
43#91437C2218yescomplemented
44C4×#1200C22116yescomplemented
45#91398C22116yescomplemented
46#91393C22116yescomplemented
47#91358C2218yescomplemented
48#91338C2218yescomplemented
49C2×D3×#117—51nomaximal, Hall
50C23×C4×D5—31no—
51C2×C5×#117—31no—
52C2×#4072—31no—
53D5×#117—316no—
54C2×#4038—31no—
55C2×#4038D311yescharacteristic, complemented
56C2×D5×C4⋊C4—31no—
57C2×D5×C4⋊C4—31no—
58C2×D5×C22⋊C4—32no—
59C2×#4023—32no—
60C2×#4018—32no—
61C2×C42×D5—32no—
62C23×D15C2311yescharacteristic
63C23×C5×D3C2311yescharacteristic
64C23×C3×D5C2311yescharacteristic
65C22×D3×D5—24no—
66C22×D3×D5—24no—
67C22×D3×D5C2×C418yes—
68C22×D3×D5C2314yes—
69C22×C3×C4×C5C2312yes—
70C22×C3×C4×C5C2311yescharacteristic
71C22×Dic15C2312yes—
72C22×Dic15C2311yescharacteristic
73C2×C4×D15—28no—
74C2×C4×D15C2×C418yes—
75C2×C4×D15C2318yes—
76C2×C4×D15C2314yes—
77C22×C5×Dic3C2312yes—
78C22×C5×Dic3C2311yescharacteristic
79C2×C4×C5×D3C2×C418yescomplemented
80C2×C4×C5×D3C2314yes—
81C22×C3×Dic5C2312yes—
82C22×C3×Dic5C2311yescharacteristic
83C2×C3×C4×D5C2×C418yescomplemented
84C2×C3×C4×D5C2314yes—
85C2×#1200—28no—
86C2×#1200C2×C418yes—
87C2×#1200C2318yes—
88C2×#1200C2314yes—
89C2×D3×Dic5C2×C418yescomplemented
90C2×D3×Dic5C2314yes—
91C2×D5×Dic3C2×C418yescomplemented
92C2×D5×Dic3C2314yes—
93C4×D3×D5C2×C4164yescomplemented
94C3×C5×C4⋊C4C2314yescomplemented
95C4⋊Dic15C2314yescomplemented
96#6712C2318yescomplemented
97C5×(C2×D3)⋊C4C2318yes—
98C5×C4⋊Dic3C2314yescomplemented
99C4×C5×Dic3C2318yescomplemented
100C3×#685C2318yes—
101C3×C4⋊Dic5C2314yescomplemented
102C3×C4×Dic5C2318yescomplemented
103#6669C2318yescomplemented
104(C2×D3)⋊Dic5C2318yes—
105#6665C2318yes—
106Dic3×Dic5C2318yescomplemented
107Dic3×Dic5C2318yescomplemented
108C23×C4×D3—51no—
109C2×C3×#117—51no—
110C2×#926—51no—
111D3×#117—516no—
112C2×#892—51no—
113C2×#892D511yescharacteristic, complemented
114C2×D3×C4⋊C4—51no—
115C2×D3×C4⋊C4—51no—
116C2×D3×C22⋊C4—52no—
117C2×#877—52no—
118C2×#872—52no—
119C2×C42×D3—52no—
120C24×D5—31no—
121C23×C4×C5—31no—
122C23×Dic5—31no—
123C22×C4×D5—31no—
124C22×C4×D5—31no—
125C22×C4×D5—31no—
126C22×C4×D5—316no—
127C22×C4×D5—38no—
128C22×C4×D5—32no—
129C22×C4×D5—32no—
130C22×C4×D5C2×D311yescharacteristic
131C5×#117—38no—
132C2×C5×C4⋊C4—31no—
133C2×C5×C4⋊C4C2×D311yescharacteristic, complemented
134C2×C5×C22⋊C4—32no—
135C2×C42×C5—32no—
136C2×C22⋊Dic5—32no—
137C2×#685—32no—
138C2×#685C2×D312yes—
139#4072—38no—
140C2×C4⋊Dic5—31no—
141C2×C4⋊Dic5C2×D311yescharacteristic, complemented
142C2×#683—32no—
143C2×#683—32no—
144C2×C4×Dic5—32no—
145C2×C4×Dic5—32no—
146C2×C4×Dic5C2×D312yescomplemented
147#4038—38no—
148#4038C2×D318yescomplemented
149D5×C4⋊C4—38no—
150D5×C4⋊C4—38no—
151D5×C22⋊C4—316no—
152#4023—316no—
153#4018—316no—
154C42×D5—316no—
155C22×#117—151noSylow
156C23×C3×C5C2411yescharacteristic
157C22×D15C22×C414yes—
158C22×D15#4114yes—
159C22×D15#4114yes—
160C22×D15C2412yes—
161C22×C5×D3—22no—
162C22×C5×D3—22no—
163C22×C5×D3C22×C414yes—
164C22×C5×D3C2412yes—
165C22×C3×D5—22no—
166C22×C3×D5—22no—
167C22×C3×D5C22×C414yes—
168C22×C3×D5C2412yes—
169C2×D3×D5—232no—
170C2×D3×D5—28no—
171C2×D3×D5—28no—
172C2×D3×D5C22×C4116yes—
173C2×C3×C4×C5—24no—
174C2×C3×C4×C5C22×C414yes—
175C2×C3×C4×C5C2414yes—
176C2×C3×C4×C5C2412yes—
177C2×Dic15—24no—
178C2×Dic15C22×C414yes—
179C2×Dic15C2414yes—
180C2×Dic15C2412yes—
181C4×D15—216no—
182C4×D15C22×C4116yes—
183C2×C5×Dic3—24no—
184C2×C5×Dic3C22×C414yes—
185C2×C5×Dic3C2414yes—
186C2×C5×Dic3C2412yes—
187C4×C5×D3C22×C4116yescomplemented
188C2×C3×Dic5—24no—
189C2×C3×Dic5C22×C414yes—
190C2×C3×Dic5C2414yes—
191C2×C3×Dic5C2412yes—
192C3×C4×D5C22×C4116yescomplemented
193#1200—216no—
194#1200C22×C4116yes—
195D3×Dic5C22×C4116yescomplemented
196D5×Dic3C22×C4116yescomplemented
197C24×D3—51no—
198C23×C3×C4—51no—
199C23×Dic3—51no—
200C22×C4×D3—51no—
201C22×C4×D3—51no—
202C22×C4×D3—51no—
203C22×C4×D3—516no—
204C22×C4×D3—58no—
205C22×C4×D3—52no—
206C22×C4×D3—52no—
207C22×C4×D3C2×D511yescharacteristic
208C3×#117—58no—
209C2×C3×C4⋊C4—51no—
210C2×C3×C4⋊C4C2×D511yescharacteristic, complemented
211C2×C3×C22⋊C4—52no—
212C2×C3×C42—52no—
213C2×#217—52no—
214C2×(C2×D3)⋊C4—52no—
215C2×(C2×D3)⋊C4C2×D512yes—
216#926—58no—
217C2×C4⋊Dic3—51no—
218C2×C4⋊Dic3C2×D511yescharacteristic, complemented
219C2×Dic3⋊C4—52no—
220C2×Dic3⋊C4—52no—
221C2×C4×Dic3—52no—
222C2×C4×Dic3—52no—
223C2×C4×Dic3C2×D512yescomplemented
224#892—58no—
225#892C2×D518yescomplemented
226D3×C4⋊C4—58no—
227D3×C4⋊C4—58no—
228D3×C22⋊C4—516no—
229#877—516no—
230#872—516no—
231C42×D3—516no—
232C24×C5—31no—
233C23×D5—31no—
234C23×D5—38no—
235C23×D5—34no—
236C23×D5—64no—
237C23×D5—64no—
238C23×D5C22×D311yescharacteristic
239C22×C4×C5—31no—
240C22×C4×C5—38no—
241C22×C4×C5—34no—
242C22×C4×C5—32no—
243C22×C4×C5C22×D312yes—
244C22×C4×C5C22×D311yescharacteristic
245C22×Dic5—31no—
246C22×Dic5—38no—
247C22×Dic5—34no—
248C22×Dic5—32no—
249C22×Dic5C22×D312yes—
250C22×Dic5C22×D311yescharacteristic
251C2×C4×D5—38no—
252C2×C4×D5—34no—
253C2×C4×D5—38no—
254C2×C4×D5—34no—
255C2×C4×D5—38no—
256C2×C4×D5—34no—
257C2×C4×D5—364no—
258C2×C4×D5—38no—
259C2×C4×D5—38no—
260C2×C4×D5—68no—
261C2×C4×D5—68no—
262C2×C4×D5C4×D318yescomplemented
263C2×C4×D5C22×D314yes—
264C5×C4⋊C4—34no—
265C5×C4⋊C4C22×D314yescomplemented
266C5×C22⋊C4—38no—
267C42×C5—38no—
268C22⋊Dic5—38no—
269#685—38no—
270#685C22×D318yes—
271C4⋊Dic5—34no—
272C4⋊Dic5C22×D314yescomplemented
273#683—38no—
274#683—38no—
275C4×Dic5—38no—
276C4×Dic5—38no—
277C4×Dic5C22×D318yescomplemented
278C24×C4—151no—
279C2×#117—31no—
280C2×#117—51no—
281C2×#117—152no—
282C2×#117—152no—
283C2×#117—151no—
284C2×#117—151no—
285C2×#117—1516no—
286C22×C4⋊C4—151no—
287C22×C4⋊C4—151no—
288C22×C22⋊C4—152no—
289C22×C42—152no—
290C22×C3×C5C23×C412yes—
291C22×C3×C5C2×#4112yes—
292C22×C3×C5C2×#4112yes—
293C22×C3×C5C2511yescharacteristic
294C2×D15#117116yescomplemented
295C2×D15C23×C414yes—
296C2×D15C2×#4114yes—
297C2×D15C2×#4114yes—
298C2×C5×D3—28no—
299C2×C5×D3—22no—
300C2×C5×D3—22no—
301C2×C5×D3C23×C414yes—
302C2×C3×D5—28no—
303C2×C3×D5—22no—
304C2×C3×D5—22no—
305C2×C3×D5C23×C414yes—
306D3×D5—232no—
307C3×C4×C5—24no—
308C3×C4×C5C23×C414yes—
309Dic15—24no—
310Dic15C23×C414yes—
311C3×Dic5—24no—
312C3×Dic5C23×C414yes—
313C5×Dic3—24no—
314C5×Dic3C23×C414yes—
315C24×C3—51no—
316C23×D3—51no—
317C23×D3—58no—
318C23×D3—54no—
319C23×D3—104no—
320C23×D3—104no—
321C23×D3C22×D511yescharacteristic
322C22×C3×C4—51no—
323C22×C3×C4—58no—
324C22×C3×C4—54no—
325C22×C3×C4—52no—
326C22×C3×C4C22×D512yes—
327C22×C3×C4C22×D511yescharacteristic
328C22×Dic3—51no—
329C22×Dic3—58no—
330C22×Dic3—54no—
331C22×Dic3—52no—
332C22×Dic3C22×D512yes—
333C22×Dic3C22×D511yescharacteristic
334C2×C4×D3—58no—
335C2×C4×D3—54no—
336C2×C4×D3—58no—
337C2×C4×D3—54no—
338C2×C4×D3—58no—
339C2×C4×D3—54no—
340C2×C4×D3—564no—
341C2×C4×D3—58no—
342C2×C4×D3—58no—
343C2×C4×D3—108no—
344C2×C4×D3—108no—
345C2×C4×D3C4×D518yescomplemented
346C2×C4×D3C22×D514yes—
347C3×C4⋊C4—54no—
348C3×C4⋊C4C22×D514yescomplemented
349C3×C22⋊C4—58no—
350C3×C42—58no—
351#217—58no—
352(C2×D3)⋊C4—58no—
353(C2×D3)⋊C4C22×D518yes—
354C4⋊Dic3—54no—
355C4⋊Dic3C22×D514yescomplemented
356Dic3⋊C4—58no—
357Dic3⋊C4—58no—
358C4×Dic3—58no—
359C4×Dic3—58no—
360C4×Dic3C22×D518yescomplemented
361C23×C5—34no—
362C23×C5—32no—
363C23×C5—62no—
364C23×C5—62no—
365C23×C5C23×D311yescharacteristic
366C22×D5—22no—
367C22×D5—22no—
368C22×D5—34no—
369C22×D5—34no—
370C22×D5—34no—
371C22×D5—32no—
372C22×D5—316no—
373C22×D5—68no—
374C22×D5—68no—
375C22×D5—632no—
376C22×D5C2×C4×D314yes—
377C22×D5C23×D312yes—
378C2×C4×C5—24no—
379C2×C4×C5—34no—
380C2×C4×C5—32no—
381C2×C4×C5—316no—
382C2×C4×C5—34no—
383C2×C4×C5—64no—
384C2×C4×C5C2×C4×D314yes—
385C2×C4×C5C23×D314yes—
386C2×C4×C5C23×D312yes—
387C2×Dic5—24no—
388C2×Dic5—34no—
389C2×Dic5—32no—
390C2×Dic5—316no—
391C2×Dic5—34no—
392C2×Dic5—64no—
393C2×Dic5C2×C4×D314yes—
394C2×Dic5C23×D314yes—
395C2×Dic5C23×D312yes—
396C4×D5—316no—
397C4×D5—316no—
398C4×D5—316no—
399C4×D5—616no—
400C4×D5—616no—
401C4×D5C2×C4×D3116yescomplemented
402C25—151no—
403C23×C4—31no—
404C23×C4—51no—
405C23×C4—158no—
406C23×C4—1516no—
407C23×C4—151no—
408C23×C4—152no—
409C23×C4—151no—
410C23×C4—151no—
411C23×C4—151no—
412C23×C4—152no—
413#117—38no—
414#117—58no—
415#117—1516no—
416#117—1516no—
417#117—158no—
418#117—158no—
419C2×C4⋊C4—31no—
420C2×C4⋊C4—51no—
421C2×C4⋊C4—158no—
422C2×C4⋊C4—152no—
423C2×C4⋊C4—152no—
424C2×C4⋊C4—151no—
425C2×C4⋊C4—158no—
426C2×C4⋊C4D3×D511yescharacteristic, complemented
427C2×C22⋊C4—32no—
428C2×C22⋊C4—52no—
429C2×C22⋊C4—1516no—
430C2×C22⋊C4—152no—
431C2×C22⋊C4—152no—
432C2×C42—32no—
433C2×C42—52no—
434C2×C42—1516no—
435C2×C42—152no—
436C2×C42—152no—
437C2×C3×C5C2×#11714yescomplemented
438C2×C3×C5C24×C411yescharacteristic
439C2×C3×C5C22×#4111yescharacteristic
440C2×C3×C5C22×#4111yescharacteristic
441D15C2×#11718yescomplemented
442C3×D5—24no—
443C5×D3—24no—
444C23×C3—54no—
445C23×C3—52no—
446C23×C3—102no—
447C23×C3—102no—
448C23×C3C23×D511yescharacteristic
449C22×D3—22no—
450C22×D3—22no—
451C22×D3—54no—
452C22×D3—54no—
453C22×D3—54no—
454C22×D3—52no—
455C22×D3—516no—
456C22×D3—1032no—
457C22×D3—108no—
458C22×D3—108no—
459C22×D3C2×C4×D514yes—
460C22×D3C23×D512yes—
461C2×C3×C4—24no—
462C2×C3×C4—54no—
463C2×C3×C4—52no—
464C2×C3×C4—516no—
465C2×C3×C4—54no—
466C2×C3×C4—104no—
467C2×C3×C4C2×C4×D514yes—
468C2×C3×C4C23×D514yes—
469C2×C3×C4C23×D512yes—
470C2×Dic3—24no—
471C2×Dic3—54no—
472C2×Dic3—52no—
473C2×Dic3—516no—
474C2×Dic3—54no—
475C2×Dic3—104no—
476C2×Dic3C2×C4×D514yes—
477C2×Dic3C23×D514yes—
478C2×Dic3C23×D512yes—
479C4×D3—516no—
480C4×D3—516no—
481C4×D3—516no—
482C4×D3—1016no—
483C4×D3—1016no—
484C4×D3C2×C4×D5116yescomplemented
485C22×C5—34no—
486C22×C5—62no—
487C22×C5—62no—
488C22×C5—68no—
489C22×C5C22×C4×D312yes—
490C22×C5D3×#4112yes—
491C22×C5D3×#4112yes—
492C22×C5C24×D311yescharacteristic
493C2×D5—22no—
494C2×D5—22no—
495C2×D5—28no—
496C2×D5—34no—
497C2×D5—34no—
498C2×D5—34no—
499C2×D5—316no—
500C2×D5—632no—
501C2×D5C22×C4×D314yes—
502C4×C5—24no—
503C4×C5—34no—
504C4×C5—64no—
505C4×C5C22×C4×D314yes—
506Dic5—24no—
507Dic5—34no—
508Dic5—64no—
509Dic5C22×C4×D314yes—
510C24—31no—
511C24—51no—
512C24—154no—
513C24—158no—
514C24—151no—
515C24—304no—
516C24—304no—
517C22×C4—31no—
518C22×C4—38no—
519C22×C4—34no—
520C22×C4—32no—
521C22×C4—51no—
522C22×C4—58no—
523C22×C4—54no—
524C22×C4—52no—
525C22×C4—154no—
526C22×C4—158no—
527C22×C4—1564no—
528C22×C4—158no—
529C22×C4—154no—
530C22×C4—158no—
531C22×C4—154no—
532C22×C4—158no—
533C22×C4—151no—
534C22×C4—158no—
535C22×C4—154no—
536C22×C4—152no—
537C22×C4—158no—
538C22×C4—308no—
539C22×C4—308no—
540C22×C4C2×D3×D512yes—
541C22×C4C2×D3×D511yescharacteristic
542C4⋊C4—34no—
543C4⋊C4—54no—
544C4⋊C4—158no—
545C4⋊C4—158no—
546C4⋊C4—154no—
547C4⋊C4C2×D3×D514yescomplemented
548C22⋊C4—38no—
549C22⋊C4—58no—
550C22⋊C4—158no—
551C22⋊C4—158no—
552C42—38no—
553C42—58no—
554C42—158no—
555C42—158no—
556C3×C5C22×#11711yescharacteristic, complemented, Hall
557C22×C3—54no—
558C22×C3—108no—
559C22×C3—102no—
560C22×C3—102no—
561C22×C3C22×C4×D512yes—
562C22×C3D5×#4112yes—
563C22×C3D5×#4112yes—
564C22×C3C24×D511yescharacteristic
565C2×D3—28no—
566C2×D3—22no—
567C2×D3—22no—
568C2×D3—516no—
569C2×D3—54no—
570C2×D3—54no—
571C2×D3—54no—
572C2×D3—1032no—
573C2×D3C22×C4×D514yes—
574C3×C4—24no—
575C3×C4—54no—
576C3×C4—104no—
577C3×C4C22×C4×D514yes—
578Dic3—24no—
579Dic3—54no—
580Dic3—104no—
581Dic3C22×C4×D514yes—
582C2×C5—64no—
583C2×C5D3×#11714yescomplemented
584C2×C5C23×C4×D311yescharacteristic
585C2×C5C2×D3×#4111yescharacteristic
586C2×C5C2×D3×#4111yescharacteristic
587D5—24no—
588D5—38no—
589C23—34no—
590C23—32no—
591C23—54no—
592C23—52no—
593C23—62no—
594C23—62no—
595C23—102no—
596C23—102no—
597C23—1516no—
598C23—154no—
599C23—154no—
600C23—154no—
601C23—152no—
602C23—3032no—
603C23—308no—
604C23—308no—
605C23C22×D3×D511yescharacteristic
606C2×C4—24no—
607C2×C4—34no—
608C2×C4—32no—
609C2×C4—316no—
610C2×C4—34no—
611C2×C4—54no—
612C2×C4—52no—
613C2×C4—516no—
614C2×C4—54no—
615C2×C4—64no—
616C2×C4—104no—
617C2×C4—1516no—
618C2×C4—1516no—
619C2×C4—1516no—
620C2×C4—154no—
621C2×C4—152no—
622C2×C4—1516no—
623C2×C4—154no—
624C2×C4—3016no—
625C2×C4—3016no—
626C2×C4—304no—
627C2×C4C4×D3×D514yes—
628C2×C4C22×D3×D514yes—
629C2×C4C22×D3×D512yes—
630C2×C3—104no—
631C2×C3D5×#11714yescomplemented
632C2×C3C23×C4×D511yescharacteristic
633C2×C3C2×D5×#4111yescharacteristic
634C2×C3C2×D5×#4111yescharacteristic
635D3—24no—
636D3—58no—
637C5C2×D3×#11711yescharacteristic, complemented, Sylow
638C22—34no—
639C22—54no—
640C22—68no—
641C22—62no—
642C22—62no—
643C22—108no—
644C22—102no—
645C22—102no—
646C22—1516no—
647C22—154no—
648C22—154no—
649C22—154no—
650C22—3032no—
651C22C2×C4×D3×D512yes—
652C22#9202412yes—
653C22#9203412yes—
654C22C23×D3×D511yescharacteristic
655C4—24no—
656C4—34no—
657C4—54no—
658C4—64no—
659C4—104no—
660C4—154no—
661C4—304no—
662C4C2×C4×D3×D514yes—
663C3C2×D5×#11711yescharacteristic, complemented, Sylow
664C2—64no—
665C2—104no—
666C2—158no—
667C2#1175383514yesdirect product factor
668C2C22×C4×D3×D511yescharacteristic
669C2C2×#9202411yescharacteristic
670C2C2×#9203411yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutatorC2×C3×C5C24×C4
FrattiniC22C23×D3×D5
FittingC2×C3×C5×C4⋊C4C22
socleC23×C3×C5C24
prime radicalC23×D3×D5C22
cosocleC22×C3×C5C25
hypercenterC2×C4⋊C4D3×D5
hypocenterC3×C5C22×#117
LCSG ▷ C2×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×C4⋊C4×D15C2semidirect
3. C2×C5×#892C2semidirect
4. C2×C3×#4038C2semidirect
6. C2×#91437C2semidirect
7. C2×C4×#1200C2semidirect
8. C2×#91398C2semidirect
9. C2×#91393C2semidirect
10. C2×#91358C2semidirect
11. C2×#91338C2semidirect
12. #11753835C2direct (N × H)
23. C2×C4×D3×D5C4semidirect
25. C2×C3×C5×C4⋊C4C22semidirect
26. C2×C4⋊Dic15C22semidirect
27. C2×#6712C22semidirect
28. C4⋊C4×D15C22semidirect
30. C2×C5×C4⋊Dic3C22semidirect
31. C2×C4×C5×Dic3C22semidirect
32. C5×#892C22semidirect
34. C2×C3×C4⋊Dic5C22semidirect
35. C2×C3×C4×Dic5C22semidirect
36. C3×#4038C22semidirect
37. C2×#6669C22semidirect
40. C2×Dic3×Dic5C22semidirect
41. C2×Dic3×Dic5C22semidirect
43. #91437C22semidirect
44. C4×#1200C22semidirect
45. #91398C22semidirect
46. #91393C22semidirect
47. #91358C22semidirect
48. #91338C22semidirect
55. C2×#4038D3semidirect
79. C2×C4×C5×D3C2×C4semidirect
83. C2×C3×C4×D5C2×C4semidirect
89. C2×D3×Dic5C2×C4semidirect
91. C2×D5×Dic3C2×C4semidirect
93. C4×D3×D5C2×C4semidirect
94. C3×C5×C4⋊C4C23semidirect
95. C4⋊Dic15C23semidirect
96. #6712C23semidirect
98. C5×C4⋊Dic3C23semidirect
99. C4×C5×Dic3C23semidirect
101. C3×C4⋊Dic5C23semidirect
102. C3×C4×Dic5C23semidirect
103. #6669C23semidirect
106. Dic3×Dic5C23semidirect
107. Dic3×Dic5C23semidirect
113. C2×#892D5semidirect
133. C2×C5×C4⋊C4C2×D3semidirect
141. C2×C4⋊Dic5C2×D3semidirect
146. C2×C4×Dic5C2×D3semidirect
148. #4038C2×D3semidirect
187. C4×C5×D3C22×C4semidirect
192. C3×C4×D5C22×C4semidirect
195. D3×Dic5C22×C4semidirect
196. D5×Dic3C22×C4semidirect
210. C2×C3×C4⋊C4C2×D5semidirect
218. C2×C4⋊Dic3C2×D5semidirect
223. C2×C4×Dic3C2×D5semidirect
225. #892C2×D5semidirect
262. C2×C4×D5C4×D3semidirect
265. C5×C4⋊C4C22×D3semidirect
272. C4⋊Dic5C22×D3semidirect
277. C4×Dic5C22×D3semidirect
294. C2×D15#117semidirect
345. C2×C4×D3C4×D5semidirect
348. C3×C4⋊C4C22×D5semidirect
355. C4⋊Dic3C22×D5semidirect
360. C4×Dic3C22×D5semidirect
401. C4×D5C2×C4×D3semidirect
426. C2×C4⋊C4D3×D5semidirect
437. C2×C3×C5C2×#117semidirect
441. D15C2×#117semidirect
484. C4×D3C2×C4×D5semidirect
547. C4⋊C4C2×D3×D5semidirect
556. C3×C5C22×#117semidirect
583. C2×C5D3×#117semidirect
631. C2×C3D5×#117semidirect
637. C5C2×D3×#117semidirect
663. C3C2×D5×#117semidirect
667. C2#11753835direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×D3×D52
C2×C4⋊C4×D152
C2×C5×#8922
C2×C3×#40382
C2×#914732
C2×#914372
C2×C4×#12002
C2×#913982
C2×#913932
C2×#913582
C2×#913382
#117538352
C2×D5×#1173
C2×D3×#1175