Finite Group Databasebeta

← C2×#24915749 #35610240

Subgroups — C2×#24915749 #35610240

Order 21248.

7502 conjugacy classes of subgroups.

The subgroup lattice has 644 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C24×C4×D83C211yesmaximal, characteristic
2C22×#14581770C212yesmaximal, complemented
3C22×#14581769C211yesmaximal, characteristic, complemented
4#24915749C2116yesmaximal, direct product factor
5C2×#19127575C212yesmaximal, complemented
6C2×#19127574C211yesmaximal, characteristic, complemented
7C2×#19127572C212yesmaximal, complemented
8C2×#19127560C212yesmaximal, complemented
9C2×#19127559C211yesmaximal, characteristic, complemented
10C2×#19127556C211yesmaximal, characteristic
11C2×#19127556C211yesmaximal, characteristic
12C2×#385×C83C211yesmaximal, characteristic, complemented
13C25×D83C2211yescharacteristic
14C23×Dic166C2211yescharacteristic, complemented
15C24×Dic83C2211yescharacteristic
16C23×C4×D83—28no—
17C23×C4×D83—216no—
18C23×C4×D83C2218yes—
19C23×C4×D83C2212yes—
20C23×C4×D83C2212yes—
21C2×#14581770—216no—
22C2×#14581770C22116yescomplemented
23C2×#14581769—28no—
24C2×#14581769C2218yescomplemented
25C22×C4⋊Dic83C2211yescharacteristic, complemented
26C22×Dic83⋊C4C2212yescomplemented
27C22×Dic83⋊C4C2211yescharacteristic, complemented
28C22×Dic83⋊C4C2211yescharacteristic, complemented
29C22×Dic83⋊C4C2212yescomplemented
30C22×C22⋊Dic83C2211yescharacteristic
31C22×C22⋊Dic83C2211yescharacteristic
32C22×(C2×D83)⋊C4C2212yes—
33C22×(C2×D83)⋊C4C2212yes—
34C22×(C2×D83)⋊C4C2212yes—
35C22×(C2×D83)⋊C4C2212yes—
36#19127575C22116yescomplemented
37#19127574C2218yescomplemented
38#19127572C22116yescomplemented
39#19127560C22116yescomplemented
40#19127559C2218yescomplemented
41#19127556C2218yes—
42#19127556C2218yes—
43C2×C83⋊#95C2212yescomplemented
44C2×C83⋊#95C2212yescomplemented
45C24×C4×C83C2211yescharacteristic
46C22×C4⋊C4×C83C2212yescomplemented
47C22×C22⋊C4×C83C2211yescharacteristic
48C22×C22⋊C4×C83C2211yescharacteristic
49#385×C83C2218yescomplemented
50C2×#95×C83C2212yescomplemented
51C24×D83—28no—
52C24×D83—28no—
53C24×D83—24no—
54C24×D83—24no—
55C24×D83Q818yescomplemented
56C24×D83C2314yes—
57C24×D83C2312yes—
58C22×Dic166—24no—
59C22×Dic166—28no—
60C22×Dic166C2314yescomplemented
61C23×Dic83—28no—
62C23×Dic83D418yes—
63C23×Dic83C2311yescharacteristic
64C23×Dic83C2312yes—
65C23×Dic83C2311yescharacteristic
66C23×Dic83C2314yes—
67C23×Dic83C2311yescharacteristic
68C23×Dic83C2311yescharacteristic
69C22×C4×D83—2128no—
70C22×C4×D83—28no—
71C22×C4×D83—232no—
72C22×C4×D83—28no—
73C22×C4×D83—28no—
74C22×C4×D83—28no—
75C22×C4×D83—264no—
76C22×C4×D83—28no—
77C22×C4×D83D4116yes—
78C22×C4×D83C2318yes—
79C22×C4×D83C2318yes—
80#14581770—264no—
81#14581769—232no—
82C2×C4⋊Dic83—24no—
83C2×C4⋊Dic83C2314yescomplemented
84C2×Dic83⋊C4—24no—
85C2×Dic83⋊C4—24no—
86C2×Dic83⋊C4—28no—
87C2×Dic83⋊C4—28no—
88C2×Dic83⋊C4C2318yescomplemented
89C2×Dic83⋊C4C2314yescomplemented
90C2×Dic83⋊C4C2314yescomplemented
91C2×Dic83⋊C4C2318yescomplemented
92C2×C22⋊Dic83—24no—
93C2×C22⋊Dic83—24no—
94C2×C22⋊Dic83C2314yes—
95C2×C22⋊Dic83C2314yes—
96C2×(C2×D83)⋊C4—28no—
97C2×(C2×D83)⋊C4—28no—
98C2×(C2×D83)⋊C4—28no—
99C2×(C2×D83)⋊C4—28no—
100C2×(C2×D83)⋊C4C2318yes—
101C2×(C2×D83)⋊C4C2318yes—
102C2×(C2×D83)⋊C4C2318yes—
103C2×(C2×D83)⋊C4C2318yes—
104C83⋊#95C2318yescomplemented
105C83⋊#95C2318yescomplemented
106C25×C83C2311yescharacteristic
107C23×C4×C83—24no—
108C23×C4×C83—28no—
109C23×C4×C83C2314yes—
110C23×C4×C83C2311yescharacteristic
111C23×C4×C83C2312yes—
112C23×C4×C83C2311yescharacteristic
113C23×C4×C83C2312yes—
114C2×C4⋊C4×C83—28no—
115C2×C4⋊C4×C83C2318yescomplemented
116C2×C22⋊C4×C83—24no—
117C2×C22⋊C4×C83—24no—
118C2×C22⋊C4×C83C2314yes—
119C2×C22⋊C4×C83C2314yes—
120#95×C83C2318yescomplemented
121C23×D83—232no—
122C23×D83—264no—
123C23×D83—232no—
124C23×D83—232no—
125C23×D83—28no—
126C23×D83—24no—
127C23×D83—24no—
128C23×D83—24no—
129C23×D83—28no—
130C23×D83—24no—
131C23×D83—264no—
132C23×D83—216no—
133C23×D83—216no—
134C23×D83C2×D418yes—
135C23×D83C2×Q818yes—
136C23×D83C2×Q8116yescomplemented
137C23×D83#4118yes—
138C23×D83C2414yes—
139C2×Dic166—28no—
140C2×Dic166—216no—
141C2×Dic166—416no—
142C22×Dic83—24no—
143C22×Dic83—232no—
144C22×Dic83—216no—
145C22×Dic83—24no—
146C22×Dic83—22no—
147C22×Dic83—24no—
148C22×Dic83—22no—
149C22×Dic83—24no—
150C22×Dic83—24no—
151C22×Dic83—24no—
152C22×Dic83C2×D4116yes—
153C22×Dic83C2×D414yes—
154C22×Dic83C2×D414yes—
155C22×Dic83C2×D418yes—
156C22×Dic83C2412yes—
157C22×Dic83C2414yes—
158C22×Dic83C2412yes—
159C22×Dic83C2412yes—
160C22×Dic83C2412yes—
161C2×C4×D83—264no—
162C2×C4×D83—2256no—
163C2×C4×D83—216no—
164C2×C4×D83—216no—
165C2×C4×D83—264no—
166C2×C4×D83—216no—
167C2×C4×D83—216no—
168C2×C4×D83—216no—
169C2×C4×D83C2×D4132yes—
170C4⋊Dic83—28no—
171Dic83⋊C4—216no—
172Dic83⋊C4—28no—
173Dic83⋊C4—28no—
174Dic83⋊C4—216no—
175C22⋊Dic83—28no—
176C22⋊Dic83—28no—
177(C2×D83)⋊C4—216no—
178(C2×D83)⋊C4—216no—
179(C2×D83)⋊C4—216no—
180(C2×D83)⋊C4—216no—
181C24×C83—24no—
182C24×C83—24no—
183C24×C83C2×D414yes—
184C24×C83C2×Q814yes—
185C24×C83#4114yes—
186C24×C83C2412yes—
187C24×C83C2411yescharacteristic
188C22×C4×C83—232no—
189C22×C4×C83—28no—
190C22×C4×C83—24no—
191C22×C4×C83—24no—
192C22×C4×C83—216no—
193C22×C4×C83—22no—
194C22×C4×C83—24no—
195C22×C4×C83—22no—
196C22×C4×C83—24no—
197C22×C4×C83—24no—
198C22×C4×C83—24no—
199C22×C4×C83—24no—
200C22×C4×C83C2×D418yes—
201C22×C4×C83C2412yes—
202C22×C4×C83C2412yes—
203C22×C4×C83C2414yes—
204C22×C4×C83C2414yes—
205C4⋊C4×C83—216no—
206C22⋊C4×C83—28no—
207C22⋊C4×C83—28no—
208C23×C83—28no—
209C23×C83—216no—
210C23×C83—28no—
211C23×C83—216no—
212C23×C83—24no—
213C23×C83—24no—
214C23×C83C22⋊Q8116yescomplemented
215C23×C83C22×D414yes—
216C23×C83C22×D412yes—
217C23×C83C22×D414yes—
218C23×C83C22×Q814yes—
219C23×C83C22×Q812yes—
220C23×C83C2×#4114yes—
221C23×C83C2×#4114yes—
222C23×C83C2×#4112yes—
223C23×C83C2511yescharacteristic
224C22×D83—232no—
225C22×D83—2256no—
226C22×D83—264no—
227C22×D83—232no—
228C22×D83—216no—
229C22×D83—216no—
230C22×D83—216no—
231C22×D83—232no—
232C22×D83—216no—
233C22×D83—216no—
234C22×D83—216no—
235C22×D83—24no—
236C22×D83—24no—
237C22×D83—24no—
238C22×D83—24no—
239C22×D83—264no—
240C22×D83C22⋊Q8132yescomplemented
241C22×D83C22×D418yes—
242C22×D83C22×Q818yes—
243C22×D83C2×#4118yes—
244C2×C4×C83—232no—
245C2×C4×C83—216no—
246C2×C4×C83—24no—
247C2×C4×C83—24no—
248C2×C4×C83—22no—
249C2×C4×C83—22no—
250C2×C4×C83—24no—
251C2×C4×C83—24no—
252C2×C4×C83—24no—
253C2×C4×C83—24no—
254C2×C4×C83—24no—
255C2×C4×C83—44no—
256C2×C4×C83—44no—
257C2×C4×C83—48no—
258C2×C4×C83C22×D418yes—
259C2×Dic83—28no—
260C2×Dic83—24no—
261C2×Dic83—232no—
262C2×Dic83—24no—
263C2×Dic83—24no—
264C2×Dic83—22no—
265C2×Dic83—22no—
266C2×Dic83—24no—
267C2×Dic83—24no—
268C2×Dic83—24no—
269C2×Dic83—44no—
270C2×Dic83—44no—
271C2×Dic83—48no—
272C2×Dic83#120116yes—
273C2×Dic83C22×D414yes—
274C2×Dic83C22×D414yes—
275C2×Dic83C22×D418yes—
276C4×D83—264no—
277C4×D83—264no—
278Dic166—416no—
279C22×C83—232no—
280C22×C83—24no—
281C22×C83—28no—
282C22×C83—24no—
283C22×C83—28no—
284C22×C83C2×#12014yes—
285C22×C83C2×C22⋊Q818yes—
286C22×C83C2×C22⋊Q814yes—
287C22×C83C2×C22⋊Q818yescomplemented
288C22×C83#52514yes—
289C22×C83#52518yes—
290C22×C83C23×D412yes—
291C22×C83C23×D411yescharacteristic
292C22×C83C23×Q811yescharacteristic
293C22×C83C22×#4112yes—
294C22×C83C22×#4111yescharacteristic
295C2×D83—2128no—
296C2×D83—264no—
297C2×D83—28no—
298C2×D83—28no—
299C2×D83—28no—
300C2×D83—28no—
301C2×D83—28no—
302C2×D83—28no—
303C2×D83C2×C22⋊Q8116yescomplemented
304C4×C83—28no—
305C4×C83—42no—
306C4×C83—42no—
307C4×C83—44no—
308Dic83—24no—
309Dic83—42no—
310Dic83—42no—
311Dic83—44no—
312Dic83C2×#12018yes—
313C2×#2848—831nomaximal, Sylow
314C2×C83—28no—
315C2×C83#284818yescomplemented
316C2×C83C22×#12011yescharacteristic
317C2×C83C22×C22⋊Q812yes—
318C2×C83C22×C22⋊Q811yescharacteristic
319C2×C83C2×#52511yescharacteristic
320C2×C83C2×#52512yes—
321D83—216no—
322C25×C4—831no—
323C22×C22⋊Q8—832no—
324C22×C22⋊Q8—831no—
325#2848—8316no—
326C2×#385—832no—
327C2×#385—831no—
328C2×#385—832no—
329C2×#385D8311yescharacteristic, complemented
330C2×#380—832no—
331C2×#380—831no—
332C2×#379—831no—
333C2×#379—831no—
334C83C2×#284811yescharacteristic, complemented, Sylow
335C26—831no—
336C23×Q8—831no—
337C24×C4—831no—
338C24×C4—832no—
339C24×C4—838no—
340C24×C4—832no—
341C24×C4—1668no—
342C24×C4—16616no—
343C24×C4C2×D8311yescharacteristic
344C2×C22⋊Q8—8316no—
345C2×C22⋊Q8—838no—
346C2×C22⋊Q8—1668no—
347C2×C22⋊Q8—16616no—
348C22×C4⋊C4—831no—
349C22×C4⋊C4—832no—
350C22×C4⋊C4—831no—
351C22×C4⋊C4—832no—
352C22×C4⋊C4—831no—
353C22×C4⋊C4C2×D8312yescomplemented
354C22×C22⋊C4—831no—
355C22×C22⋊C4—831no—
356C22×C22⋊C4—832no—
357C22×C22⋊C4—832no—
358C22×C22⋊C4—832no—
359C22×C22⋊C4—832no—
360C22×C22⋊C4C2×D8311yescharacteristic
361C22×C22⋊C4C2×D8311yescharacteristic
362#385—838no—
363#385—8316no—
364#385—8316no—
365#385C2×D8318yescomplemented
366#380—838no—
367#380—8316no—
368#379—838no—
369#379—838no—
370C2×#95—832no—
371C2×#95—832no—
372C2×#95C2×D8312yescomplemented
373C25—832no—
374C25—838no—
375C25—834no—
376C25—1668no—
377C25—1668no—
378C25—1664no—
379C25—1664no—
380C25C22×D8311yescharacteristic
381C22×Q8—834no—
382C22×Q8—1664no—
383C22×Q8—1668no—
384C23×C4—24no—
385C23×C4—28no—
386C23×C4—831no—
387C23×C4—838no—
388C23×C4—834no—
389C23×C4—831no—
390C23×C4—8316no—
391C23×C4—838no—
392C23×C4—831no—
393C23×C4—831no—
394C23×C4—832no—
395C23×C4—838no—
396C23×C4—1668no—
397C23×C4—1668no—
398C23×C4—1668no—
399C23×C4—16632no—
400C23×C4—16664no—
401C23×C4—1668no—
402C23×C4—166128no—
403C23×C4—1668no—
404C23×C4—1668no—
405C23×C4C22×D8314yes—
406C23×C4C22×D8311yescharacteristic
407C23×C4C22×D8311yescharacteristic
408C23×C4C22×D8312yes—
409C23×C4C22×D8312yes—
410C22⋊Q8—16632no—
411C22⋊Q8—16664no—
412C2×C4⋊C4—28no—
413C2×C4⋊C4—838no—
414C2×C4⋊C4—834no—
415C2×C4⋊C4—834no—
416C2×C4⋊C4—838no—
417C2×C4⋊C4—834no—
418C2×C4⋊C4—1664no—
419C2×C4⋊C4—1664no—
420C2×C4⋊C4—1668no—
421C2×C4⋊C4—1664no—
422C2×C4⋊C4—1668no—
423C2×C4⋊C4C22×D8318yescomplemented
424C2×C22⋊C4—24no—
425C2×C22⋊C4—24no—
426C2×C22⋊C4—834no—
427C2×C22⋊C4—834no—
428C2×C22⋊C4—838no—
429C2×C22⋊C4—838no—
430C2×C22⋊C4—838no—
431C2×C22⋊C4—838no—
432C2×C22⋊C4—1668no—
433C2×C22⋊C4—1668no—
434C2×C22⋊C4—1668no—
435C2×C22⋊C4—1668no—
436C2×C22⋊C4—1664no—
437C2×C22⋊C4—1664no—
438C2×C22⋊C4C22×D8314yes—
439C2×C22⋊C4C22×D8314yes—
440#95—838no—
441#95—838no—
442#95C22×D8318yescomplemented
443C24—24no—
444C24—24no—
445C24—838no—
446C24—838no—
447C24—838no—
448C24—834no—
449C24—8316no—
450C24—16616no—
451C24—16664no—
452C24—16616no—
453C24—16632no—
454C24—16632no—
455C24—16664no—
456C24—16632no—
457C24—1668no—
458C24—1664no—
459C24—1664no—
460C24—1664no—
461C24—1668no—
462C24—1664no—
463C24D4×D8314yes—
464C24Q8×D8314yes—
465C24#1305059014yes—
466C24C23×D8312yes—
467C24C23×D8311yescharacteristic
468C2×Q8—33216no—
469C2×Q8—1668no—
470C2×Q8—16616no—
471C22×C4—232no—
472C22×C4—28no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—216no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—838no—
484C22×C4—834no—
485C22×C4—832no—
486C22×C4—834no—
487C22×C4—8316no—
488C22×C4—832no—
489C22×C4—8332no—
490C22×C4—832no—
491C22×C4—834no—
492C22×C4—832no—
493C22×C4—16664no—
494C22×C4—16616no—
495C22×C4—16616no—
496C22×C4—16616no—
497C22×C4—16616no—
498C22×C4—166256no—
499C22×C4—16664no—
500C22×C4—1662no—
501C22×C4—1664no—
502C22×C4—1664no—
503C22×C4—1662no—
504C22×C4—1664no—
505C22×C4—1664no—
506C22×C4—1664no—
507C22×C4—16632no—
508C22×C4—16616no—
509C22×C4—1664no—
510C22×C4—16616no—
511C22×C4D4×D8318yes—
512C22×C4C23×D8314yes—
513C22×C4C23×D8312yes—
514C22×C4C23×D8312yes—
515C22×C4C23×D8314yes—
516C4⋊C4—216no—
517C4⋊C4—1668no—
518C4⋊C4—1668no—
519C4⋊C4—16616no—
520C4⋊C4—1668no—
521C4⋊C4—16616no—
522C22⋊C4—28no—
523C22⋊C4—28no—
524C22⋊C4—16616no—
525C22⋊C4—16616no—
526C22⋊C4—16616no—
527C22⋊C4—16616no—
528C22⋊C4—1668no—
529C22⋊C4—1668no—
530C23—28no—
531C23—216no—
532C23—28no—
533C23—216no—
534C23—24no—
535C23—24no—
536C23—8332no—
537C23—838no—
538C23—838no—
539C23—838no—
540C23—16664no—
541C23—16632no—
542C23—166256no—
543C23—16632no—
544C23—16664no—
545C23—16616no—
546C23—16616no—
547C23—16616no—
548C23—16632no—
549C23—16616no—
550C23—16616no—
551C23—16616no—
552C23—1664no—
553C23—1664no—
554C23—1664no—
555C23—1664no—
556C23#14581770116yescomplemented
557C23C2×D4×D8314yes—
558C23C2×D4×D8314yes—
559C23C2×D4×D8312yes—
560C23C2×Q8×D8314yes—
561C23C2×Q8×D8312yes—
562C23#41×D8314yes—
563C23C2×#1305059014yes—
564C23C2×#1305059012yes—
565C23C24×D8311yescharacteristic
566Q8—33216no—
567C2×C4—232no—
568C2×C4—216no—
569C2×C4—24no—
570C2×C4—24no—
571C2×C4—22no—
572C2×C4—22no—
573C2×C4—24no—
574C2×C4—24no—
575C2×C4—24no—
576C2×C4—24no—
577C2×C4—24no—
578C2×C4—44no—
579C2×C4—44no—
580C2×C4—48no—
581C2×C4—3324no—
582C2×C4—3324no—
583C2×C4—3328no—
584C2×C4—8316no—
585C2×C4—838no—
586C2×C4—834no—
587C2×C4—834no—
588C2×C4—16664no—
589C2×C4—16664no—
590C2×C4—1662no—
591C2×C4—1664no—
592C2×C4—1664no—
593C2×C4—1662no—
594C2×C4—1664no—
595C2×C4—1664no—
596C2×C4—1664no—
597C2×C4—16632no—
598C2×C4—1668no—
599C2×C4—1664no—
600C2×C4C2×D4×D8318yes—
601C22—232no—
602C22—24no—
603C22—28no—
604C22—24no—
605C22—28no—
606C22—8316no—
607C22—166128no—
608C22—16664no—
609C22—1668no—
610C22—1668no—
611C22—1668no—
612C22—1668no—
613C22—1668no—
614C22—1668no—
615C22#120×D8314yes—
616C22C22⋊Q8×D8318yes—
617C22C2×#1458177014yes—
618C22C2×#1458177018yescomplemented
619C22#1912820914yes—
620C22#1912821018yes—
621C22C22×D4×D8312yes—
622C22C22×D4×D8311yescharacteristic
623C22C22×Q8×D8311yescharacteristic
624C22C2×#41×D8312yes—
625C22C22×#1305059011yescharacteristic
626C4—28no—
627C4—42no—
628C4—42no—
629C4—44no—
630C4—3322no—
631C4—3322no—
632C4—3324no—
633C4—838no—
634C4—1664no—
635C2—28no—
636C2—16616no—
637C2#2491574918yesdirect product factor
638C2C2×#120×D8311yescharacteristic
639C2C2×C22⋊Q8×D8312yes—
640C2C22×#1458177011yescharacteristic
641C2C2×#1912820911yescharacteristic
642C2C2×#1912821012yes—
subgroupG/H
centerC24C23×D83
commutator, cosocleC23×C83C25
FrattiniC23C24×D83
FittingC2×#385×C83C2
socleC24×C83C24
prime radicalC25×D83C22
hypercenterC2×#385D83
hypocenterC83C2×#2848
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C24 ◁ C2×#385

Complements

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

NH ≅ G/Ntype
2. C22×#14581770C2semidirect
3. C22×#14581769C2semidirect
4. #24915749C2direct (N × H)
5. C2×#19127575C2semidirect
6. C2×#19127574C2semidirect
7. C2×#19127572C2semidirect
8. C2×#19127560C2semidirect
9. C2×#19127559C2semidirect
12. C2×#385×C83C2semidirect
14. C23×Dic166C22semidirect
22. C2×#14581770C22semidirect
24. C2×#14581769C22semidirect
25. C22×C4⋊Dic83C22semidirect
26. C22×Dic83⋊C4C22semidirect
27. C22×Dic83⋊C4C22semidirect
28. C22×Dic83⋊C4C22semidirect
29. C22×Dic83⋊C4C22semidirect
36. #19127575C22semidirect
37. #19127574C22semidirect
38. #19127572C22semidirect
39. #19127560C22semidirect
40. #19127559C22semidirect
43. C2×C83⋊#95C22semidirect
44. C2×C83⋊#95C22semidirect
46. C22×C4⋊C4×C83C22semidirect
49. #385×C83C22semidirect
50. C2×#95×C83C22semidirect
55. C24×D83Q8semidirect
60. C22×Dic166C23semidirect
83. C2×C4⋊Dic83C23semidirect
88. C2×Dic83⋊C4C23semidirect
89. C2×Dic83⋊C4C23semidirect
90. C2×Dic83⋊C4C23semidirect
91. C2×Dic83⋊C4C23semidirect
104. C83⋊#95C23semidirect
105. C83⋊#95C23semidirect
115. C2×C4⋊C4×C83C23semidirect
120. #95×C83C23semidirect
136. C23×D83C2×Q8semidirect
214. C23×C83C22⋊Q8semidirect
240. C22×D83C22⋊Q8semidirect
287. C22×C83C2×C22⋊Q8semidirect
303. C2×D83C2×C22⋊Q8semidirect
315. C2×C83#2848semidirect
329. C2×#385D83semidirect
334. C83C2×#2848semidirect
353. C22×C4⋊C4C2×D83semidirect
365. #385C2×D83semidirect
372. C2×#95C2×D83semidirect
423. C2×C4⋊C4C22×D83semidirect
442. #95C22×D83semidirect
556. C23#14581770semidirect
618. C22C2×#14581770semidirect
637. C2#24915749direct (N × H)

Maximal subgroups

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

subgroupindex
C24×C4×D832
C22×#145817702
C22×#145817692
#249157492
C2×#191275752
C2×#191275742
C2×#191275722
C2×#191275602
C2×#191275592
C2×#191275562
C2×#385×C832
C2×#284883