Finite Group Databasebeta

← C2×#11756387 #14480472

Subgroups — C2×#11756387 #14480472

Order 1920.

3024 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×Q8×D15C211yesmaximal, characteristic, complemented
2C22×#6817C211yesmaximal, characteristic
3C2×C3×C5×C22⋊Q8C211yesmaximal, characteristic, complemented
4C2×#91835C211yesmaximal, characteristic, complemented
5C2×#91813C211yesmaximal, characteristic, complemented
6#11756387C2116yesmaximal, direct product factor
7C2×#91786C211yesmaximal, characteristic, complemented
8C2×#91783C212yesmaximal, complemented
9C2×#91781C211yesmaximal, characteristic, complemented
10C2×#91777C212yesmaximal, complemented
11C2×#91774C212yesmaximal, complemented
12C2×#91772C212yesmaximal, complemented
13C2×#65962—31nomaximal, Hall
14C22×C3×C5×Q8C2211yescharacteristic
15C23×C3×C4×C5C2211yescharacteristic
16C22×#1220C2211yescharacteristic
17C22×#1220C2211yescharacteristic
18C2×Q8×D15—28no—
19C2×Q8×D15C2218yescomplemented
20C2×#6817—28no—
21C2×#6817C2218yes—
22C22×D60C2211yescharacteristic
23C22×C4×D15C2211yescharacteristic
24C22×C4×D15C2212yes—
25C22×C4×D15C2211yescharacteristic
26C22×Dic30C2211yescharacteristic
27C22×Dic30C2212yes—
28C22×Dic30C2211yescharacteristic
29C3×C5×C22⋊Q8C2218yescomplemented
30C2×C3×C5×C4⋊C4C2212yes—
31C2×C3×C5×C4⋊C4C2211yescharacteristic
32C2×C3×C5×C22⋊C4C2212yes—
33C2×#6719C2212yes—
34#91835C2218yescomplemented
35C2×#6714C2212yes—
36C2×#6714C2212yes—
37C2×#6714C2212yes—
38C2×C4⋊Dic15C2211yescharacteristic
39C2×C4⋊Dic15C2212yes—
40#91813C2218yescomplemented
41C2×#6712C2212yes—
42C2×#6712C2212yes—
43C2×C4×Dic15C2212yes—
44#91786C2218yescomplemented
45#91783C22116yescomplemented
46#91781C2218yescomplemented
47#91777C22116yescomplemented
48#91774C22116yescomplemented
49#91772C22116yescomplemented
50C2×#5628—51nomaximal, Hall
51C22×Q8×D5—31no—
52C22×#709—31no—
53C2×C5×C22⋊Q8D311yescharacteristic, complemented
54C2×#4092—31no—
55C2×#4070—31no—
56#65962—316no—
57C2×#4043—31no—
58C2×#4040—32no—
59C2×#4038—31no—
60C2×#4034—32no—
61C2×#4031—32no—
62C2×#4029—32no—
63C24×C3×C5C2311yescharacteristic
64C23×D15C2311yescharacteristic
65C23×D15C2311yescharacteristic
66C2×C3×C5×Q8—24no—
67C2×C3×C5×Q8C2314yes—
68C22×C3×C4×C5—24no—
69C22×C3×C4×C5C2312yes—
70C22×C3×C4×C5C2311yescharacteristic
71C22×C3×C4×C5C2312yes—
72C22×C3×C4×C5C2314yes—
73C22×C3×C4×C5C2311yescharacteristic
74C2×#1220—24no—
75C2×#1220—24no—
76C2×#1220C2314yes—
77C2×#1220C2314yes—
78C22×Dic15C2312yes—
79C22×Dic15C2311yescharacteristic
80C22×Dic15C2312yes—
81C22×Dic15C2311yescharacteristic
82Q8×D15—232no—
83#6817—232no—
84C2×D60—24no—
85C2×D60C2314yes—
86C2×C4×D15—28no—
87C2×C4×D15—24no—
88C2×C4×D15D418yes—
89C2×C4×D15C2318yes—
90C2×C4×D15C2314yes—
91C2×C4×D15C2314yes—
92C2×Dic30—24no—
93C2×Dic30—24no—
94C2×Dic30—28no—
95C2×Dic30C2318yes—
96C2×Dic30C2314yes—
97C2×Dic30C2314yes—
98C3×C5×C4⋊C4C2318yes—
99C3×C5×C4⋊C4C2314yes—
100C3×C5×C22⋊C4C2318yes—
101#6719C2318yes—
102#6714C2318yes—
103#6714C2318yes—
104#6714C2318yes—
105C4⋊Dic15C2318yes—
106C4⋊Dic15C2314yes—
107#6712C2318yes—
108#6712C2318yes—
109C4×Dic15C2318yes—
110C22×D3×Q8—51no—
111C22×#235—51no—
112C2×C3×C22⋊Q8D511yescharacteristic, complemented
113C2×#946—51no—
114C2×#924—51no—
115#5628—516no—
116C2×#897—51no—
117C2×#894—52no—
118C2×#892—51no—
119C2×#888—52no—
120C2×#885—52no—
121C2×#883—52no—
122C22×C5×Q8C2×D311yescharacteristic
123C23×C4×C5C2×D311yescharacteristic
124C22×C22⋊D5—31no—
125C22×C22⋊D5—31no—
126C2×Q8×D5—38no—
127C2×Q8×D5—68no—
128C2×#709—38no—
129C2×#709—68no—
130C22×D20—31no—
131C22×C4×D5—31no—
132C22×C4×D5—32no—
133C22×C4×D5—31no—
134C22×Dic10—32no—
135C22×Dic10—31no—
136C22×Dic10—31no—
137C5×C22⋊Q8C2×D318yescomplemented
138C2×C5×C4⋊C4C2×D312yes—
139C2×C5×C4⋊C4C2×D311yescharacteristic
140C2×C5×C22⋊C4C2×D312yes—
141C2×C22⋊Dic5—32no—
142#4092—38no—
143C2×#685—32no—
144C2×#685—32no—
145C2×#685—32no—
146C2×C4⋊Dic5—32no—
147C2×C4⋊Dic5—31no—
148#4070—38no—
149C2×#683—32no—
150C2×#683—32no—
151C2×C4×Dic5—32no—
152#4043—38no—
153#4040—316no—
154#4038—38no—
155#4034—316no—
156#4031—316no—
157#4029—316no—
158C2×#536—151noSylow
159C23×C3×C5—22no—
160C23×C3×C5—22no—
161C23×C3×C5—22no—
162C23×C3×C5C2412yes—
163C23×C3×C5C2411yescharacteristic
164C22×D15—22no—
165C22×D15—22no—
166C22×D15—22no—
167C22×D15—22no—
168C22×D15—22no—
169C22×D15C2×D414yes—
170C22×D15C2412yes—
171C22×D15C2412yes—
172C3×C5×Q8—28no—
173C2×C3×C4×C5—24no—
174C2×C3×C4×C5—22no—
175C2×C3×C4×C5—24no—
176C2×C3×C4×C5—28no—
177C2×C3×C4×C5C2×D414yes—
178C2×C3×C4×C5C2414yes—
179C2×C3×C4×C5C2412yes—
180C2×C3×C4×C5C2414yes—
181C2×C3×C4×C5C2412yes—
182#1220—28no—
183#1220—28no—
184C2×Dic15—24no—
185C2×Dic15—22no—
186C2×Dic15—24no—
187C2×Dic15C2×D414yes—
188C2×Dic15C2414yes—
189C2×Dic15C2412yes—
190C2×Dic15C2414yes—
191C2×Dic15C2412yes—
192D60—28no—
193C4×D15—216no—
194C4×D15—28no—
195C4×D15C2×D4116yes—
196Dic30—28no—
197Dic30—28no—
198Dic30—216no—
199C22×C3×Q8C2×D511yescharacteristic
200C23×C3×C4C2×D511yescharacteristic
201C22×#67—51no—
202C22×#67—51no—
203C2×D3×Q8—58no—
204C2×D3×Q8—108no—
205C2×#235—58no—
206C2×#235—108no—
207C22×D12—51no—
208C22×C4×D3—51no—
209C22×C4×D3—51no—
210C22×C4×D3—52no—
211C22×Dic6—51no—
212C22×Dic6—52no—
213C22×Dic6—51no—
214C3×C22⋊Q8C2×D518yescomplemented
215C2×C3×C4⋊C4C2×D512yes—
216C2×C3×C4⋊C4C2×D511yescharacteristic
217C2×C3×C22⋊C4C2×D512yes—
218C2×#217—52no—
219#946—58no—
220C2×(C2×D3)⋊C4—52no—
221C2×(C2×D3)⋊C4—52no—
222C2×(C2×D3)⋊C4—52no—
223C2×C4⋊Dic3—52no—
224C2×C4⋊Dic3—51no—
225#924—58no—
226C2×Dic3⋊C4—52no—
227C2×Dic3⋊C4—52no—
228C2×C4×Dic3—52no—
229#897—58no—
230#894—516no—
231#892—58no—
232#888—516no—
233#885—516no—
234#883—516no—
235C24×C5C22×D311yescharacteristic
236C23×D5—31no—
237C23×D5—31no—
238C2×C5×Q8—24no—
239C2×C5×Q8C22×D314yes—
240C22×C4×C5—24no—
241C22×C4×C5C22×D312yes—
242C22×C4×C5C22×D312yes—
243C22×C4×C5C22×D311yescharacteristic
244C22×C4×C5C22×D314yes—
245C22×C4×C5C22×D311yescharacteristic
246C2×C22⋊D5—34no—
247C2×C22⋊D5—34no—
248C2×C22⋊D5—64no—
249C2×C22⋊D5—64no—
250C22×Dic5—31no—
251C22×Dic5—32no—
252C22×Dic5—32no—
253C22×Dic5—31no—
254Q8×D5—632no—
255#709—632no—
256C2×D20—34no—
257C2×D20—64no—
258C2×C4×D5—38no—
259C2×C4×D5—34no—
260C2×C4×D5—34no—
261C2×C4×D5—38no—
262C2×C4×D5—68no—
263C2×C4×D5—64no—
264C2×Dic10—34no—
265C2×Dic10—38no—
266C2×Dic10—34no—
267C2×Dic10—64no—
268C2×Dic10—68no—
269C2×Dic10—64no—
270C5×C4⋊C4C22×D318yes—
271C5×C4⋊C4C22×D314yes—
272C5×C22⋊C4C22×D318yes—
273C22⋊Dic5—38no—
274#685—38no—
275#685—38no—
276#685—38no—
277C4⋊Dic5—38no—
278C4⋊Dic5—34no—
279#683—38no—
280#683—38no—
281C4×Dic5—38no—
282C22×#41—151no—
283C23×Q8—151no—
284#536—1516no—
285C2×C4⋊Q8—152no—
286C2×#124—152no—
287C2×#123—152no—
288C2×#123—152no—
289C2×C22⋊Q8—151no—
290C2×C22⋊Q8—151no—
291C2×C22⋊Q8—151no—
292C2×C22⋊Q8D1511yescharacteristic, complemented
293C2×#117—151no—
294C22×C3×C5—22no—
295C22×C3×C5—22no—
296C22×C3×C5—22no—
297C22×C3×C5—44no—
298C22×C3×C5C22×D412yes—
299C22×C3×C52−1+412yes—
300C22×C3×C52−1+412yes—
301C22×C3×C5C2511yescharacteristic
302C2×D15—28no—
303C2×D15—22no—
304C2×D15—22no—
305C2×D15—22no—
306C2×D15—22no—
307C2×D15—22no—
308C2×D15—44no—
309C2×D15C22×D414yes—
310C3×C4×C5—24no—
311C3×C4×C5—22no—
312C3×C4×C5—24no—
313C3×C4×C5C22×D414yes—
314Dic15—24no—
315Dic15—22no—
316Dic15—24no—
317Dic15C22×D414yes—
318C24×C3C22×D511yescharacteristic
319C23×D3—51no—
320C23×D3—51no—
321C2×C3×Q8—24no—
322C2×C3×Q8C22×D514yes—
323C22×C3×C4—24no—
324C22×C3×C4C22×D512yes—
325C22×C3×C4C22×D511yescharacteristic
326C22×C3×C4C22×D512yes—
327C22×C3×C4C22×D514yes—
328C22×C3×C4C22×D511yescharacteristic
329C2×#67—54no—
330C2×#67—54no—
331C2×#67—104no—
332C2×#67—104no—
333C22×Dic3—51no—
334C22×Dic3—52no—
335C22×Dic3—51no—
336C22×Dic3—52no—
337D3×Q8—1032no—
338#235—1032no—
339C2×D12—54no—
340C2×D12—104no—
341C2×C4×D3—58no—
342C2×C4×D3—54no—
343C2×C4×D3—58no—
344C2×C4×D3—54no—
345C2×C4×D3—108no—
346C2×C4×D3—104no—
347C2×Dic6—58no—
348C2×Dic6—54no—
349C2×Dic6—54no—
350C2×Dic6—104no—
351C2×Dic6—108no—
352C2×Dic6—104no—
353C3×C4⋊C4C22×D518yes—
354C3×C4⋊C4C22×D514yes—
355C3×C22⋊C4C22×D518yes—
356#217—58no—
357(C2×D3)⋊C4—58no—
358(C2×D3)⋊C4—58no—
359(C2×D3)⋊C4—58no—
360C4⋊Dic3—58no—
361C4⋊Dic3—54no—
362Dic3⋊C4—58no—
363Dic3⋊C4—58no—
364C4×Dic3—58no—
365C23×C5—22no—
366C23×C5—22no—
367C23×C5—22no—
368C23×C5C23×D312yes—
369C23×C5C23×D311yescharacteristic
370C22×D5—34no—
371C22×D5—32no—
372C22×D5—32no—
373C22×D5—62no—
374C22×D5—62no—
375C22×D5—62no—
376C22×D5—62no—
377C22×D5—62no—
378C5×Q8—28no—
379C2×C4×C5—24no—
380C2×C4×C5—22no—
381C2×C4×C5—24no—
382C2×C4×C5—28no—
383C2×C4×C5D3×D414yes—
384C2×C4×C5C23×D314yes—
385C2×C4×C5C23×D312yes—
386C2×C4×C5C23×D314yes—
387C2×C4×C5C23×D312yes—
388C22⋊D5—68no—
389C22⋊D5—68no—
390C2×Dic5—34no—
391C2×Dic5—32no—
392C2×Dic5—34no—
393C2×Dic5—32no—
394C2×Dic5—34no—
395C2×Dic5—64no—
396C2×Dic5—62no—
397C2×Dic5—64no—
398D20—68no—
399C4×D5—316no—
400C4×D5—616no—
401C4×D5—68no—
402Dic10—68no—
403Dic10—616no—
404Dic10—68no—
405C2×#41—158no—
406C2×#41—308no—
407C22×Q8—158no—
408C22×Q8—151no—
409C22×Q8—152no—
410C22×Q8—151no—
411C22×Q8—308no—
412C22×Q8C2×D1511yescharacteristic
413C22×D4—151no—
414C22×D4—151no—
415C22×D4—151no—
416C23×C4—151no—
417C23×C4—151no—
418C23×C4—152no—
419C23×C4C2×D1511yescharacteristic
420C4⋊Q8—1516no—
421#124—1516no—
422#123—1516no—
423#123—1516no—
424C22⋊Q8—158no—
425C22⋊Q8—158no—
426C22⋊Q8—158no—
427C22⋊Q8C2×D1518yescomplemented
428#117—158no—
429C2×C4⋊C4—151no—
430C2×C4⋊C4—152no—
431C2×C4⋊C4—152no—
432C2×C4⋊C4—152no—
433C2×C4⋊C4C2×D1511yescharacteristic
434C2×C4⋊C4C2×D1512yes—
435C2×C22⋊C4—152no—
436C2×C22⋊C4—152no—
437C2×C22⋊C4—152no—
438C2×C22⋊C4—152no—
439C2×C22⋊C4C2×D1512yes—
440C2×C42—152no—
441C2×C3×C5—42no—
442C2×C3×C5#53614yescomplemented
443C2×C3×C5C23×D411yescharacteristic
444C2×C3×C5C2×2−1+411yescharacteristic
445C2×C3×C5C2×2−1+411yescharacteristic
446D15—24no—
447D15—42no—
448C23×C3—22no—
449C23×C3—22no—
450C23×C3—22no—
451C23×C3C23×D512yes—
452C23×C3C23×D511yescharacteristic
453C22×D3—54no—
454C22×D3—52no—
455C22×D3—52no—
456C22×D3—102no—
457C22×D3—102no—
458C22×D3—102no—
459C22×D3—102no—
460C22×D3—102no—
461C3×Q8—28no—
462C2×C3×C4—24no—
463C2×C3×C4—22no—
464C2×C3×C4—24no—
465C2×C3×C4—28no—
466C2×C3×C4D4×D514yes—
467C2×C3×C4C23×D514yes—
468C2×C3×C4C23×D512yes—
469C2×C3×C4C23×D514yes—
470C2×C3×C4C23×D512yes—
471#67—108no—
472#67—108no—
473C2×Dic3—54no—
474C2×Dic3—52no—
475C2×Dic3—54no—
476C2×Dic3—52no—
477C2×Dic3—54no—
478C2×Dic3—104no—
479C2×Dic3—102no—
480C2×Dic3—104no—
481D12—108no—
482C4×D3—516no—
483C4×D3—1016no—
484C4×D3—108no—
485Dic6—108no—
486Dic6—1016no—
487Dic6—108no—
488C22×C5—22no—
489C22×C5—22no—
490C22×C5—22no—
491C22×C5—44no—
492C22×C5C2×D3×D412yes—
493C22×C5#100712yes—
494C22×C5#101012yes—
495C22×C5C24×D311yescharacteristic
496C2×D5—34no—
497C2×D5—62no—
498C2×D5—62no—
499C2×D5—68no—
500C2×D5—62no—
501C2×D5—62no—
502C2×D5—62no—
503C2×D5—124no—
504C4×C5—24no—
505C4×C5—22no—
506C4×C5—24no—
507C4×C5C2×D3×D414yes—
508Dic5—34no—
509Dic5—64no—
510Dic5—62no—
511Dic5—64no—
512C24—151no—
513C24—151no—
514C24C22×D1511yescharacteristic
515#41—3032no—
516C2×Q8—24no—
517C2×Q8—154no—
518C2×Q8—158no—
519C2×Q8—154no—
520C2×Q8—308no—
521C2×Q8—304no—
522C2×Q8—3032no—
523C2×Q8—304no—
524C2×Q8C22×D1514yes—
525C2×D4—154no—
526C2×D4—154no—
527C2×D4—154no—
528C2×D4—304no—
529C2×D4—304no—
530C2×D4—304no—
531C22×C4—24no—
532C22×C4—151no—
533C22×C4—158no—
534C22×C4—154no—
535C22×C4—152no—
536C22×C4—152no—
537C22×C4—151no—
538C22×C4—154no—
539C22×C4—158no—
540C22×C4—308no—
541C22×C4—304no—
542C22×C4C22×D1514yes—
543C22×C4C22×D1512yes—
544C22×C4C22×D1512yes—
545C22×C4C22×D1511yescharacteristic
546C22×C4C22×D1511yescharacteristic
547C4⋊C4—154no—
548C4⋊C4—158no—
549C4⋊C4—158no—
550C4⋊C4—158no—
551C4⋊C4C22×D1514yes—
552C4⋊C4C22×D1518yes—
553C22⋊C4—158no—
554C22⋊C4—158no—
555C22⋊C4—158no—
556C22⋊C4—158no—
557C22⋊C4C22×D1518yes—
558C42—158no—
559C3×C5C2×#53611yescharacteristic, complemented, Hall
560C22×C3—22no—
561C22×C3—22no—
562C22×C3—22no—
563C22×C3—44no—
564C22×C3C2×D4×D512yes—
565C22×C3#414712yes—
566C22×C3#415012yes—
567C22×C3C24×D511yescharacteristic
568C2×D3—54no—
569C2×D3—108no—
570C2×D3—102no—
571C2×D3—102no—
572C2×D3—102no—
573C2×D3—102no—
574C2×D3—102no—
575C2×D3—204no—
576C3×C4—24no—
577C3×C4—22no—
578C3×C4—24no—
579C3×C4C2×D4×D514yes—
580Dic3—54no—
581Dic3—104no—
582Dic3—102no—
583Dic3—104no—
584C2×C5—42no—
585C2×C5#562814yescomplemented
586C2×C5C22×D3×D411yescharacteristic
587C2×C5C2×#100711yescharacteristic
588C2×C5C2×#101011yescharacteristic
589D5—64no—
590D5—122no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—154no—
595C23—152no—
596C23—152no—
597C23—302no—
598C23—302no—
599C23—302no—
600C23—302no—
601C23—302no—
602C23C23×D1512yes—
603C23C23×D1511yescharacteristic
604Q8—28no—
605Q8—3016no—
606Q8—308no—
607Q8—308no—
608D4—308no—
609D4—308no—
610D4—308no—
611C2×C4—22no—
612C2×C4—24no—
613C2×C4—24no—
614C2×C4—28no—
615C2×C4—154no—
616C2×C4—152no—
617C2×C4—1516no—
618C2×C4—154no—
619C2×C4—154no—
620C2×C4—152no—
621C2×C4—3016no—
622C2×C4—302no—
623C2×C4—304no—
624C2×C4—304no—
625C2×C4—308no—
626C2×C4D4×D1514yes—
627C2×C4C23×D1514yes—
628C2×C4C23×D1514yes—
629C2×C4C23×D1512yes—
630C2×C4C23×D1512yes—
631C2×C3—42no—
632C2×C3#6596214yescomplemented
633C2×C3C22×D4×D511yescharacteristic
634C2×C3C2×#414711yescharacteristic
635C2×C3C2×#415011yescharacteristic
636D3—104no—
637D3—202no—
638C5C2×#562811yescharacteristic, complemented, Sylow
639C22—22no—
640C22—22no—
641C22—22no—
642C22—44no—
643C22—154no—
644C22—302no—
645C22—302no—
646C22—308no—
647C22—302no—
648C22—302no—
649C22—302no—
650C22—604no—
651C22C2×D4×D1512yes—
652C22#9209812yes—
653C22#9210112yes—
654C22C24×D1511yescharacteristic
655C4—22no—
656C4—24no—
657C4—24no—
658C4—154no—
659C4—302no—
660C4—304no—
661C4—304no—
662C4C2×D4×D1514yes—
663C3C2×#6596211yescharacteristic, complemented, Sylow
664C2—42no—
665C2—304no—
666C2—602no—
667C2#1175638714yesdirect product factor
668C2C22×D4×D1511yescharacteristic
669C2C2×#9209811yescharacteristic
670C2C2×#9210111yescharacteristic
subgroupG/H
centerC23C23×D15
commutator, cosocleC22×C3×C5C25
FrattiniC22C24×D15
FittingC2×C3×C5×C22⋊Q8C2
socleC23×C3×C5C24
prime radicalC22×#6817C2
hypercenterC2×C22⋊Q8D15
hypocenterC3×C5C2×#536
LCSG ▷ C22×C3×C5 ▷ C3×C5
UCSC1 ◁ C23 ◁ C2×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C22×Q8×D15C2semidirect
3. C2×C3×C5×C22⋊Q8C2semidirect
4. C2×#91835C2semidirect
5. C2×#91813C2semidirect
6. #11756387C2direct (N × H)
7. C2×#91786C2semidirect
8. C2×#91783C2semidirect
9. C2×#91781C2semidirect
10. C2×#91777C2semidirect
11. C2×#91774C2semidirect
12. C2×#91772C2semidirect
19. C2×Q8×D15C22semidirect
29. C3×C5×C22⋊Q8C22semidirect
34. #91835C22semidirect
40. #91813C22semidirect
44. #91786C22semidirect
45. #91783C22semidirect
46. #91781C22semidirect
47. #91777C22semidirect
48. #91774C22semidirect
49. #91772C22semidirect
53. C2×C5×C22⋊Q8D3semidirect
112. C2×C3×C22⋊Q8D5semidirect
137. C5×C22⋊Q8C2×D3semidirect
214. C3×C22⋊Q8C2×D5semidirect
292. C2×C22⋊Q8D15semidirect
427. C22⋊Q8C2×D15semidirect
442. C2×C3×C5#536semidirect
559. C3×C5C2×#536semidirect
585. C2×C5#5628semidirect
632. C2×C3#65962semidirect
638. C5C2×#5628semidirect
663. C3C2×#65962semidirect
667. C2#11756387direct (N × H)

Maximal subgroups

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

subgroupindex
C22×Q8×D152
C22×#68172
C2×C3×C5×C22⋊Q82
C2×#918352
C2×#918132
#117563872
C2×#917862
C2×#917832
C2×#917812
C2×#917772
C2×#917742
C2×#917722
C2×#659623
C2×#56285