Finite Group Databasebeta

← C2×#11753440 #14482937

Subgroups — C2×#11753440 #14482937

Order 1920.

3136 conjugacy classes of subgroups.

The subgroup lattice has 640 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×D15⋊Q8C211yesmaximal, characteristic, complemented
2C22×D5×Dic6C211yesmaximal, characteristic, complemented
3C2×#91786C211yesmaximal, characteristic, complemented
4C2×C5×#887C211yesmaximal, characteristic, complemented
5C2×C3×#4043C211yesmaximal, characteristic, complemented
6C2×#91469C212yesmaximal, complemented
7C2×C4×#1202C211yesmaximal, characteristic
8C2×#91429C212yesmaximal, complemented
9C2×#91422C212yesmaximal, complemented
10C2×#91395C212yesmaximal
11C2×#91389C211yesmaximal, characteristic, complemented
12#11753440C2116yesmaximal, direct product factor
13C2×Q8×D20—31nomaximal, Hall
14C22×C4×D15C2211yescharacteristic
15C22×Dic30C2211yescharacteristic
16C22×C5×Dic6C2211yescharacteristic
17C22×C3×C4×D5C2211yescharacteristic
18C22×C3×Dic10C2211yescharacteristic
19C22×#1204C2212yes—
20C22×#1204C2212yes—
21C22×#1202C2211yescharacteristic
22C22×#1200C2212yes—
23C22×D5×Dic3C2212yes—
24C2×D15⋊Q8—28no—
25C2×D15⋊Q8C2218yescomplemented
26C2×D5×Dic6—28no—
27C2×D5×Dic6C2218yescomplemented
28C2×C3×C5×C4⋊C4C2211yescharacteristic
29C2×#6714C2212yes—
30C2×C4⋊Dic15C2212yes—
31#91786C2218yescomplemented
32C2×C5×Dic3⋊C4C2212yes—
33C2×C4×C5×Dic3C2211yescharacteristic
34C2×C4×C5×Dic3C2212yes—
35C5×#887C2218yescomplemented
36C2×C3×#685C2212yes—
37C2×C3×C4⋊Dic5C2212yes—
38C3×#4043C2218yescomplemented
39C2×Dic3⋊Dic5C2211yescharacteristic
40C2×Dic3⋊Dic5C2212yes—
41C2×Dic3⋊Dic5C2212yes—
42C2×#6667C2211yescharacteristic
43C2×#6665C2211yescharacteristic
44#91469C22116yescomplemented
45C4×#1202C2218yes—
46#91429C22116yescomplemented
47#91422C22116yescomplemented
48#91395C22116yes—
49#91389C2218yescomplemented
50C2×#5632—51nomaximal, Hall
51C22×Q8×D5—31no—
52C22×Q8×D5—31no—
53C2×C4×C5×Q8—31no—
54Q8×D20—316no—
55C2×#4043—32no—
56C2×#4043—32no—
57C2×#4043—31no—
58C2×#4043D311yescharacteristic, complemented
59C2×C4×D20—32no—
60C2×C4×D20—31no—
61C2×#4015—32no—
62C2×#4015—31no—
63C23×D15C2311yescharacteristic
64C23×C3×D5C2311yescharacteristic
65C22×C3×C4×C5C2312yes—
66C22×C3×C4×C5C2311yescharacteristic
67C22×Dic15C2312yes—
68C22×Dic15C2311yescharacteristic
69C2×C4×D15—24no—
70C2×C4×D15C2314yes—
71C2×Dic30—24no—
72C2×Dic30C2314yes—
73C22×C5×Dic3C2311yescharacteristic
74C22×C5×Dic3C2312yes—
75C22×C5×Dic3C2311yescharacteristic
76C2×C5×Dic6D418yescomplemented
77C2×C5×Dic6C2314yes—
78C22×C3×Dic5C2312yes—
79C22×C3×Dic5C2311yescharacteristic
80C2×C3×C4×D5—24no—
81C2×C3×C4×D5C2314yes—
82C2×C3×Dic10—24no—
83C2×C3×Dic10C2314yes—
84C2×#1204—28no—
85C2×#1204—28no—
86C2×#1204C2318yes—
87C2×#1204C2318yes—
88C2×#1202Q818yescomplemented
89C2×#1202C2314yes—
90C2×#1200—28no—
91C2×#1200C2318yes—
92C2×D5×Dic3—28no—
93C2×D5×Dic3C2318yes—
94D15⋊Q8—232no—
95D5×Dic6—232no—
96C3×C5×C4⋊C4C2314yes—
97#6714C2318yes—
98C4⋊Dic15C2318yes—
99C5×Dic3⋊C4C2318yes—
100C4×C5×Dic3C2318yes—
101C4×C5×Dic3C2314yes—
102C3×#685C2318yes—
103C3×C4⋊Dic5C2318yes—
104Dic3⋊Dic5C2318yes—
105Dic3⋊Dic5C2318yes—
106Dic3⋊Dic5C2314yes—
107#6667C2314yes—
108#6665C2314yes—
109C22×D3×Q8—51no—
110C23×Dic6—51no—
111C2×C3×C22⋊Q8—51no—
112C2×#944—51no—
113C2×C4×#67—51no—
114#5632—516no—
115C2×#897—51no—
116C2×#896—52no—
117C2×#888—52no—
118C2×#887D511yescharacteristic, complemented
119C2×#67⋊C4—52no—
120C2×#878—52no—
121C22×C5×Q8—31no—
122C2×Q8×D5—38no—
123C2×Q8×D5—38no—
124C2×Q8×D5—68no—
125C2×Q8×D5—68no—
126C22×D20—31no—
127C22×C4×D5—32no—
128C22×C4×D5—31no—
129C22×C4×D5—32no—
130C22×C4×D5C2×D311yescharacteristic
131C22×Dic10—31no—
132C22×Dic10—32no—
133C22×Dic10—32no—
134C22×Dic10C2×D311yescharacteristic
135C4×C5×Q8—38no—
136C2×C5×C4⋊C4—32no—
137C2×C5×C4⋊C4C2×D311yescharacteristic
138C2×C42×C5—32no—
139C2×C42×C5—31no—
140C2×#685—31no—
141C2×#685—32no—
142C2×#685—31no—
143C2×#685C2×D312yes—
144C2×C4⋊Dic5—32no—
145C2×C4⋊Dic5—31no—
146C2×C4⋊Dic5—32no—
147C2×C4⋊Dic5—32no—
148C2×C4⋊Dic5C2×D312yes—
149#4043—38no—
150#4043—316no—
151#4043—316no—
152#4043C2×D318yescomplemented
153C4×D20—38no—
154C4×D20—316no—
155#4015—38no—
156#4015—316no—
157C2×D4×Q8—151noSylow
158C23×C3×C5C2411yescharacteristic
159C22×D15—22no—
160C22×D15—22no—
161C22×D15C2×Q814yescomplemented
162C22×D15C2412yes—
163C22×C3×D5—22no—
164C22×C3×D5—22no—
165C22×C3×D5C2×Q814yescomplemented
166C22×C3×D5C2412yes—
167C2×C3×C4×C5—24no—
168C2×C3×C4×C5C2×D414yes—
169C2×C3×C4×C5C2414yes—
170C2×C3×C4×C5C2412yes—
171C2×Dic15—24no—
172C2×Dic15—22no—
173C2×Dic15C2412yes—
174C2×Dic15C2414yes—
175C4×D15—28no—
176Dic30—28no—
177C2×C5×Dic3—22no—
178C2×C5×Dic3C2×D418yes—
179C2×C5×Dic3C2×Q814yescomplemented
180C2×C5×Dic3C2412yes—
181C2×C5×Dic3C2414yes—
182C2×C5×Dic3C2412yes—
183C5×Dic6C2×D4116yescomplemented
184C2×C3×Dic5—24no—
185C2×C3×Dic5—22no—
186C2×C3×Dic5C2412yes—
187C2×C3×Dic5C2414yes—
188C3×C4×D5—28no—
189C3×Dic10—28no—
190#1204—216no—
191#1204—216no—
192#1202C2×Q8116yescomplemented
193#1200—216no—
194D5×Dic3—216no—
195C22×C3×Q8—51no—
196C23×C3×C4—51no—
197C22×#67—51no—
198C23×Dic3—52no—
199C2×D3×Q8—58no—
200C2×D3×Q8—108no—
201C22×C4×D3—51no—
202C22×C4×D3—52no—
203C22×Dic6—51no—
204C22×Dic6—52no—
205C22×Dic6—52no—
206C22×Dic6—58no—
207C22×Dic6—108no—
208C22×Dic6C2×D511yescharacteristic
209C3×C22⋊Q8—58no—
210C2×C3×C4⋊C4—52no—
211C2×C3×C4⋊C4C2×D511yescharacteristic
212C2×C3×C22⋊C4—52no—
213C2×#217—51no—
214#944—58no—
215C4×#67—58no—
216C2×(C2×D3)⋊C4—52no—
217C2×(C2×D3)⋊C4—51no—
218C2×C4⋊Dic3—52no—
219C2×Dic3⋊C4—52no—
220C2×Dic3⋊C4—52no—
221C2×Dic3⋊C4—51no—
222C2×Dic3⋊C4C2×D512yes—
223C2×C4×Dic3C2×D512yes—
224C2×C4×Dic3C2×D511yescharacteristic
225#897—58no—
226#896—516no—
227#888—516no—
228#887C2×D518yescomplemented
229#67⋊C4—516no—
230#878—516no—
231C23×D5—31no—
232C23×D5C22×D311yescharacteristic
233C2×C5×Q8—38no—
234C2×C5×Q8—34no—
235C22×C4×C5—31no—
236C22×C4×C5—32no—
237C22×C4×C5—31no—
238C22×C4×C5C22×D312yes—
239C22×C4×C5C22×D311yescharacteristic
240C22×Dic5—32no—
241C22×Dic5—31no—
242C22×Dic5C22×D311yescharacteristic
243C22×Dic5C22×D312yes—
244Q8×D5—632no—
245Q8×D5—632no—
246C2×D20—38no—
247C2×D20—34no—
248C2×C4×D5—24no—
249C2×C4×D5—38no—
250C2×C4×D5—34no—
251C2×C4×D5—38no—
252C2×C4×D5—68no—
253C2×C4×D5—68no—
254C2×C4×D5—64no—
255C2×C4×D5C22×D314yes—
256C2×Dic10—24no—
257C2×Dic10—34no—
258C2×Dic10—38no—
259C2×Dic10—38no—
260C2×Dic10—68no—
261C2×Dic10—68no—
262C2×Dic10—64no—
263C2×Dic10C22×D314yes—
264C5×C4⋊C4—38no—
265C5×C4⋊C4C22×D314yes—
266C42×C5—38no—
267C42×C5—34no—
268#685—34no—
269#685—38no—
270#685—34no—
271#685C22×D318yes—
272C4⋊Dic5—38no—
273C4⋊Dic5—38no—
274C4⋊Dic5—34no—
275C4⋊Dic5—38no—
276C4⋊Dic5C22×D318yes—
277C23×Q8—151no—
278C23×Q8—151no—
279D4×Q8—1516no—
280C2×C4⋊Q8—152no—
281C2×C4⋊Q8—151no—
282C2×C22⋊Q8—51no—
283C2×C22⋊Q8—152no—
284C2×C22⋊Q8—152no—
285C2×C22⋊Q8—151no—
286C2×C4×Q8—31no—
287C2×C4×D4—152no—
288C2×C4×D4—151no—
289C22×C3×C5C22×D412yes—
290C22×C3×C5C22×Q812yes—
291C22×C3×C52−1+412yes—
292C22×C3×C5C2511yescharacteristic
293C2×D15—28no—
294C2×D15—22no—
295C2×D15—22no—
296C2×D15C22×Q814yescomplemented
297C2×C3×D5—28no—
298C2×C3×D5—22no—
299C2×C3×D5—22no—
300C2×C3×D5C22×Q814yescomplemented
301C3×C4×C5—24no—
302C3×C4×C5C22×D414yes—
303Dic15—24no—
304Dic15—22no—
305C3×Dic5—24no—
306C3×Dic5—22no—
307C5×Dic3—22no—
308C5×Dic3C22×D418yes—
309C5×Dic3C22×Q814yescomplemented
310C24×C3—51no—
311C23×D3—51no—
312C2×C3×Q8—54no—
313C2×C3×Q8—104no—
314C22×C3×C4—52no—
315C22×C3×C4—51no—
316C22×C3×C4—54no—
317C22×C3×C4—104no—
318C22×C3×C4C22×D512yes—
319C22×C3×C4C22×D511yescharacteristic
320C2×#67—58no—
321C2×#67—54no—
322C22×Dic3—52no—
323C22×Dic3—51no—
324C22×Dic3—58no—
325C22×Dic3—108no—
326C22×Dic3C22×D511yescharacteristic
327C22×Dic3C22×D512yes—
328C22×Dic3C22×D511yescharacteristic
329D3×Q8—1032no—
330C2×C4×D3—54no—
331C2×C4×D3—58no—
332C2×C4×D3—104no—
333C2×C4×D3—108no—
334C2×Dic6—54no—
335C2×Dic6—58no—
336C2×Dic6—58no—
337C2×Dic6—104no—
338C2×Dic6—108no—
339C2×Dic6—108no—
340C2×Dic6—1032no—
341C2×Dic6D2018yescomplemented
342C2×Dic6C22×D514yes—
343C3×C4⋊C4—58no—
344C3×C4⋊C4C22×D514yes—
345C3×C22⋊C4—58no—
346#217—54no—
347(C2×D3)⋊C4—58no—
348(C2×D3)⋊C4—54no—
349C4⋊Dic3—58no—
350Dic3⋊C4—58no—
351Dic3⋊C4—58no—
352Dic3⋊C4—54no—
353Dic3⋊C4C22×D518yes—
354C4×Dic3C22×D518yes—
355C4×Dic3C22×D514yes—
356C23×C5C23×D311yescharacteristic
357C22×D5—22no—
358C22×D5—22no—
359C22×D5—34no—
360C22×D5—32no—
361C22×D5—62no—
362C22×D5—62no—
363C22×D5D3×Q814yescomplemented
364C22×D5C23×D312yes—
365C5×Q8—316no—
366C2×C4×C5—24no—
367C2×C4×C5—38no—
368C2×C4×C5—34no—
369C2×C4×C5—32no—
370C2×C4×C5—34no—
371C2×C4×C5—32no—
372C2×C4×C5—62no—
373C2×C4×C5D3×D414yes—
374C2×C4×C5C23×D314yes—
375C2×C4×C5C23×D312yes—
376C2×Dic5—24no—
377C2×Dic5—22no—
378C2×Dic5—32no—
379C2×Dic5—34no—
380C2×Dic5—62no—
381C2×Dic5—64no—
382C2×Dic5C23×D314yes—
383C2×Dic5C23×D312yes—
384D20—316no—
385C4×D5—28no—
386C4×D5—616no—
387C4×D5—616no—
388C4×D5—68no—
389Dic10—28no—
390Dic10—616no—
391Dic10—616no—
392Dic10—68no—
393C22×Q8—31no—
394C22×Q8—51no—
395C22×Q8—152no—
396C22×Q8—152no—
397C22×Q8—158no—
398C22×Q8—158no—
399C22×Q8—151no—
400C22×Q8—308no—
401C22×Q8—308no—
402C22×D4—151no—
403C23×C4—51no—
404C23×C4—152no—
405C23×C4—152no—
406C23×C4—151no—
407C4⋊Q8—1516no—
408C4⋊Q8—158no—
409C22⋊Q8—58no—
410C22⋊Q8—1516no—
411C22⋊Q8—1516no—
412C22⋊Q8—158no—
413C4×Q8—38no—
414C4×D4—1516no—
415C4×D4—158no—
416C2×C4⋊C4—32no—
417C2×C4⋊C4—52no—
418C2×C4⋊C4—152no—
419C2×C4⋊C4—151no—
420C2×C4⋊C4—152no—
421C2×C4⋊C4—152no—
422C2×C4⋊C4D3×D511yescharacteristic
423C2×C22⋊C4—52no—
424C2×C22⋊C4—151no—
425C2×C22⋊C4—151no—
426C2×C22⋊C4—152no—
427C2×C42—32no—
428C2×C42—31no—
429C2×C3×C5D4×Q814yescomplemented
430C2×C3×C5C23×D411yescharacteristic
431C2×C3×C5C23×Q811yescharacteristic
432C2×C3×C5C2×2−1+411yescharacteristic
433D15—24no—
434C3×D5—24no—
435C23×C3—54no—
436C23×C3—52no—
437C23×C3—102no—
438C23×C3—102no—
439C23×C3C23×D511yescharacteristic
440C22×D3—54no—
441C22×D3—52no—
442C22×D3—102no—
443C22×D3—102no—
444C3×Q8—108no—
445C2×C3×C4—24no—
446C2×C3×C4—54no—
447C2×C3×C4—52no—
448C2×C3×C4—102no—
449C2×C3×C4—104no—
450C2×C3×C4—108no—
451C2×C3×C4C2×D2014yes—
452C2×C3×C4C23×D514yes—
453C2×C3×C4C23×D512yes—
454#67—516no—
455C2×Dic3—22no—
456C2×Dic3—54no—
457C2×Dic3—52no—
458C2×Dic3—102no—
459C2×Dic3—104no—
460C2×Dic3—1016no—
461C2×Dic3C2×D2018yes—
462C2×Dic3Q8×D514yescomplemented
463C2×Dic3C23×D512yes—
464C2×Dic3C23×D514yes—
465C2×Dic3C23×D512yes—
466C4×D3—108no—
467C4×D3—1016no—
468Dic6—108no—
469Dic6—1016no—
470Dic6—1016no—
471Dic6C2×D20116yescomplemented
472C22×C5C2×D3×D412yes—
473C22×C5C2×D3×Q812yes—
474C22×C5#101012yes—
475C22×C5C24×D311yescharacteristic
476C2×D5—28no—
477C2×D5—22no—
478C2×D5—22no—
479C2×D5—34no—
480C2×D5—68no—
481C2×D5—62no—
482C2×D5—62no—
483C2×D5C2×D3×Q814yescomplemented
484C4×C5—24no—
485C4×C5—38no—
486C4×C5—34no—
487C4×C5—62no—
488C4×C5C2×D3×D414yes—
489Dic5—24no—
490Dic5—22no—
491Dic5—64no—
492Dic5—62no—
493C24—51no—
494C24—151no—
495C2×Q8—38no—
496C2×Q8—34no—
497C2×Q8—54no—
498C2×Q8—104no—
499C2×Q8—158no—
500C2×Q8—158no—
501C2×Q8—154no—
502C2×Q8—308no—
503C2×Q8—308no—
504C2×Q8—3032no—
505C2×Q8—3032no—
506C2×Q8—304no—
507C2×D4—154no—
508C2×D4—158no—
509C22×C4—31no—
510C22×C4—32no—
511C22×C4—31no—
512C22×C4—52no—
513C22×C4—51no—
514C22×C4—54no—
515C22×C4—104no—
516C22×C4—158no—
517C22×C4—158no—
518C22×C4—151no—
519C22×C4—152no—
520C22×C4—154no—
521C22×C4—308no—
522C22×C4—308no—
523C22×C4—304no—
524C22×C4C2×D3×D512yes—
525C22×C4C2×D3×D511yescharacteristic
526C4⋊C4—38no—
527C4⋊C4—58no—
528C4⋊C4—158no—
529C4⋊C4—154no—
530C4⋊C4—158no—
531C4⋊C4—158no—
532C4⋊C4C2×D3×D514yes—
533C22⋊C4—58no—
534C22⋊C4—154no—
535C22⋊C4—154no—
536C22⋊C4—158no—
537C42—38no—
538C42—34no—
539C3×C5C2×D4×Q811yescharacteristic, complemented, Hall
540C22×C3—54no—
541C22×C3—108no—
542C22×C3—102no—
543C22×C3—102no—
544C22×C3C22×D2012yes—
545C22×C3C2×Q8×D512yes—
546C22×C3#415012yes—
547C22×C3C24×D511yescharacteristic
548C2×D3—54no—
549C2×D3—108no—
550C2×D3—102no—
551C2×D3—102no—
552C3×C4—24no—
553C3×C4—102no—
554C3×C4—104no—
555C3×C4C22×D2014yes—
556Dic3—22no—
557Dic3—102no—
558Dic3—104no—
559Dic3C22×D2018yes—
560Dic3C2×Q8×D514yescomplemented
561C2×C5#563214yescomplemented
562C2×C5C22×D3×D411yescharacteristic
563C2×C5C22×D3×Q811yescharacteristic
564C2×C5C2×#101011yescharacteristic
565D5—24no—
566D5—64no—
567C23—54no—
568C23—52no—
569C23—102no—
570C23—102no—
571C23—154no—
572C23—152no—
573C23—302no—
574C23—302no—
575C23C22×D3×D511yescharacteristic
576Q8—316no—
577Q8—108no—
578Q8—3016no—
579Q8—3016no—
580Q8—308no—
581D4—1516no—
582C2×C4—24no—
583C2×C4—38no—
584C2×C4—34no—
585C2×C4—32no—
586C2×C4—34no—
587C2×C4—32no—
588C2×C4—54no—
589C2×C4—52no—
590C2×C4—62no—
591C2×C4—102no—
592C2×C4—104no—
593C2×C4—108no—
594C2×C4—152no—
595C2×C4—154no—
596C2×C4—3016no—
597C2×C4—3016no—
598C2×C4—304no—
599C2×C4—302no—
600C2×C4—308no—
601C2×C4D3×D2014yes—
602C2×C4C22×D3×D514yes—
603C2×C4C22×D3×D512yes—
604C2×C3—104no—
605C2×C3Q8×D2014yescomplemented
606C2×C3C23×D2011yescharacteristic
607C2×C3C22×Q8×D511yescharacteristic
608C2×C3C2×#415011yescharacteristic
609D3—104no—
610C5C2×#563211yescharacteristic, complemented, Sylow
611C22—54no—
612C22—102no—
613C22—102no—
614C22—108no—
615C22—154no—
616C22—302no—
617C22—302no—
618C22—308no—
619C22C2×D3×D2012yes—
620C22#9202012yes—
621C22D3×Q8×D512yes—
622C22C23×D3×D511yescharacteristic
623C4—24no—
624C4—38no—
625C4—34no—
626C4—62no—
627C4—102no—
628C4—104no—
629C4—304no—
630C4—302no—
631C4C2×D3×D2014yes—
632C3C2×Q8×D2011yescharacteristic, complemented, Sylow
633C2—104no—
634C2—304no—
635C2#1175344014yesdirect product factor
636C2C22×D3×D2011yescharacteristic
637C2C2×#9202011yescharacteristic
638C2C2×D3×Q8×D511yescharacteristic
subgroupG/H
centerC23C22×D3×D5
commutator, cosocleC22×C3×C5C25
FrattiniC22C23×D3×D5
FittingC2×C3×C5×C4⋊C4C22
socleC23×C3×C5C24
prime radicalC22×#1202C22
hypercenterC2×C4⋊C4D3×D5
hypocenterC3×C5C2×D4×Q8
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
1. C22×D15⋊Q8C2semidirect
2. C22×D5×Dic6C2semidirect
3. C2×#91786C2semidirect
4. C2×C5×#887C2semidirect
5. C2×C3×#4043C2semidirect
6. C2×#91469C2semidirect
8. C2×#91429C2semidirect
9. C2×#91422C2semidirect
11. C2×#91389C2semidirect
12. #11753440C2direct (N × H)
25. C2×D15⋊Q8C22semidirect
27. C2×D5×Dic6C22semidirect
31. #91786C22semidirect
35. C5×#887C22semidirect
38. C3×#4043C22semidirect
44. #91469C22semidirect
46. #91429C22semidirect
47. #91422C22semidirect
49. #91389C22semidirect
58. C2×#4043D3semidirect
76. C2×C5×Dic6D4semidirect
88. C2×#1202Q8semidirect
118. C2×#887D5semidirect
152. #4043C2×D3semidirect
161. C22×D15C2×Q8semidirect
165. C22×C3×D5C2×Q8semidirect
179. C2×C5×Dic3C2×Q8semidirect
183. C5×Dic6C2×D4semidirect
192. #1202C2×Q8semidirect
228. #887C2×D5semidirect
296. C2×D15C22×Q8semidirect
300. C2×C3×D5C22×Q8semidirect
309. C5×Dic3C22×Q8semidirect
341. C2×Dic6D20semidirect
363. C22×D5D3×Q8semidirect
429. C2×C3×C5D4×Q8semidirect
462. C2×Dic3Q8×D5semidirect
471. Dic6C2×D20semidirect
483. C2×D5C2×D3×Q8semidirect
539. C3×C5C2×D4×Q8semidirect
560. Dic3C2×Q8×D5semidirect
561. C2×C5#5632semidirect
605. C2×C3Q8×D20semidirect
610. C5C2×#5632semidirect
632. C3C2×Q8×D20semidirect
635. C2#11753440direct (N × H)

Maximal subgroups

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

subgroupindex
C22×D15⋊Q82
C22×D5×Dic62
C2×#917862
C2×C5×#8872
C2×C3×#40432
C2×#914692
C2×C4×#12022
C2×#914292
C2×#914222
C2×#913952
C2×#913892
#117534402
C2×Q8×D203
C2×#56325