Finite Group Databasebeta

← D4×#483 #6574883

Subgroups — D4×#483 #6574883

Order 512.

2555 conjugacy classes of subgroups.

The subgroup lattice has 767 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#483C212yesmaximal, complemented
2D4×C22⋊Q8C211yesmaximal, characteristic
3C2×D4×C4⋊C4C211yesmaximal, characteristic
4#33108C211yesmaximal, characteristic, complemented
5#32982C212yesmaximal, complemented
6#27905C211yesmaximal, characteristic, complemented
7#27647C211yesmaximal, characteristic, complemented
8#26234C212yesmaximal, complemented
9#26128C214yesmaximal, complemented
10#25014C212yesmaximal, complemented
11#24863C214yesmaximal, complemented
12#24551C212yesmaximal, complemented
13#24003C212yesmaximal, complemented
14D4×#106C212yesmaximal, complemented
15D4×#103C212yesmaximal, complemented
16D4×C22⋊C8C211yesmaximal, characteristic
17C4×#483C211yesmaximal, characteristic, complemented
18C2×D4×Q8C2211yescharacteristic
19C22×C22⋊Q8C2212yes—
20C22×C4×D4—21no—
21C22×C4×D4C2211yescharacteristic
22C23×C4⋊C4C2212yes—
23C2×#483—216no—
24C2×#483C2212yes—
25C2×#483C2212yes—
26C2×#483C2212yes—
27C2×#483C2212yes—
28C2×#483C2211yescharacteristic
29C2×#483C2214yescomplemented
30C2×#483C2214yescomplemented
31C2×C8×D4C2212yes—
32C22×#106C2214yescomplemented
33C22×#103C2214yescomplemented
34C22×C22⋊C8C2212yes—
35#2857C2211yescharacteristic
36#2848C2212yes—
37#2542C2211yescharacteristic
38#2538C2211yescharacteristic
39#2452—21no—
40#2449—22no—
41#2440—21no—
42#2437—22no—
43#2417C2212yes—
44#2409C2212yes—
45D4×C4⋊C4—21no—
46D4×C4⋊C4—22no—
47D4×C4⋊C4—21no—
48D4×C4⋊C4—21no—
49D4×C4⋊C4C2214yes—
50D4×C4⋊C4C2212yes—
51D4×C4⋊C4C2212yes—
52D4×C4⋊C4C2211yescharacteristic
53D4×C22⋊C4—21no—
54C4×C22⋊Q8C2211yescharacteristic
55C2×#389—21no—
56C2×#385—22no—
57C2×#384C2211yescharacteristic
58C2×#380C2212yes—
59C2×C4×C4⋊C4C2211yescharacteristic
60#2096C2214yescomplemented
61#2084C2212yescomplemented
62#2077C2214yescomplemented
63#2072C2212yescomplemented
64#2035C2214yescomplemented
65#2035C2214yescomplemented
66#2035C2214yescomplemented
67#1981C2212yescomplemented
68#1956C2212yescomplemented
69#1954C2212yes—
70#1948C2212yescomplemented
71#1948C2212yescomplemented
72#1927C2214yescomplemented
73#1927C2212yescomplemented
74#1920C2212yescomplemented
75#1892C2214yescomplemented
76#1872C2211yescharacteristic
77#1872C2212yes—
78#1872C2214yescomplemented
79#1872C2214yescomplemented
80#1869C2214yes—
81#1853C2211yescharacteristic
82#1853C2214yescomplemented
83#1853C2214yescomplemented
84#1853C2214yescomplemented
85#1844C2212yescomplemented
86#1823C2211yescharacteristic
87#1823C2212yes—
88#1807C2214yescomplemented
89#1803C2212yescomplemented
90#1797C2211yescharacteristic
91#1787C2214yescomplemented
92#1779C2212yes—
93C4×#106C2212yescomplemented
94C4×#103C2212yescomplemented
95C4×C22⋊C8C2211yescharacteristic
96C23×Q8C2312yes—
97C23×D4D411yescharacteristic
98C24×C4—22no—
99C24×C4C2312yes—
100C23×C8C2314yes—
101D4×Q8—28no—
102C2×C4⋊Q8—21no—
103C2×C4⋊Q8C2311yescharacteristic
104C2×C22⋊Q8—22no—
105C2×C22⋊Q8—22no—
106C2×C22⋊Q8—22no—
107C2×C22⋊Q8—28no—
108C2×C22⋊Q8—44no—
109C2×C22⋊Q8C2312yes—
110C2×C22⋊Q8C2312yes—
111C2×C22⋊Q8C2312yes—
112C2×C22⋊Q8C2312yes—
113C2×C22⋊Q8C2311yescharacteristic
114C2×C22⋊Q8C2312yes—
115C2×C4×Q8C2311yescharacteristic
116C2×C4×D4—28no—
117C2×C4×D4—21no—
118C2×C4×D4—21no—
119C2×C4×D4—24no—
120C2×C4×D4—22no—
121C2×C4×D4—22no—
122C2×C4×D4—48no—
123C2×C4×D4D411yescharacteristic
124C2×C4×D4D412yes—
125C2×C4×D4D411yescharacteristic
126C2×C4×D4C2312yes—
127C2×C4×D4C2311yescharacteristic
128C2×C4×D4C2311yescharacteristic
129C22×C4⋊C4—28no—
130C22×C4⋊C4—22no—
131C22×C4⋊C4—22no—
132C22×C4⋊C4—22no—
133C22×C4⋊C4—22no—
134C22×C4⋊C4—21no—
135C22×C4⋊C4—21no—
136C22×C4⋊C4—44no—
137C22×C4⋊C4D411yescharacteristic
138C22×C4⋊C4C2312yes—
139C22×C4⋊C4C2314yes—
140C22×C4⋊C4C2314yes—
141C22×C4⋊C4C2312yes—
142C22×C4⋊C4C2311yescharacteristic
143C22×C4⋊C4C2311yescharacteristic
144C22×C22⋊C4—22no—
145C22×C22⋊C4—22no—
146C22×C22⋊C4D412yes—
147C22×C42—21no—
148C22×C42C2311yescharacteristic
149#483—28no—
150#483—28no—
151#483—216no—
152#483—216no—
153#483—28no—
154#483—44no—
155#483D418yesdirect product factor
156C8×D4—28no—
157C2×#106—216no—
158C2×#106C2314yes—
159C2×#106C2314yes—
160C2×#106C2314yes—
161C2×#106C2314yes—
162C2×#106C2312yes—
163C2×#106C2312yes—
164C2×C4⋊C8C2312yes—
165C2×#103—216no—
166C2×#103C2314yes—
167C2×#103C2314yes—
168C2×#103C2314yes—
169C2×#103C2314yes—
170C2×#103C2314yes—
171C2×#103C2312yes—
172C2×#103C2312yes—
173C2×C22⋊C8—28no—
174C2×C22⋊C8C2312yes—
175C2×C22⋊C8C2311yescharacteristic
176C2×C22⋊C8C2314yes—
177C2×C22⋊C8C2314yes—
178C2×C22⋊C8C2314yes—
179C2×C22⋊C8C2311yescharacteristic
180C2×C4×C8C2312yes—
181#399—22no—
182#398—22no—
183#396—22no—
184#396—22no—
185#395—22no—
186#393—22no—
187#391C2311yescharacteristic
188#391C2312yes—
189#390—21no—
190#390—21no—
191#389—22no—
192#389—24no—
193#389—22no—
194#389—21no—
195#389—21no—
196#389—21no—
197#389—21no—
198#389C2311yescharacteristic
199#387—21no—
200#386—22no—
201#386—22no—
202#385—22no—
203#385—22no—
204#385—22no—
205#385—21no—
206#385—24no—
207#385—24no—
208#385—24no—
209#385—24no—
210#385—22no—
211#385—22no—
212#384—21no—
213#384—21no—
214#384—21no—
215#384C2312yes—
216#384C2312yes—
217#384C2311yescharacteristic
218#380—21no—
219#380—21no—
220#380—22no—
221#380—22no—
222#380—22no—
223#380C2312yes—
224#380C2314yes—
225#380C2312yes—
226#380C2314yes—
227#380C2311yescharacteristic
228#379—22no—
229C4×C4⋊C4—21no—
230C4×C4⋊C4—21no—
231C4×C4⋊C4—21no—
232C4×C4⋊C4C2312yes—
233C4×C4⋊C4C2312yes—
234C4×C4⋊C4C2311yescharacteristic
235C4×C22⋊C4—21no—
236C2×#95—21no—
237C2×#95—22no—
238#340C2314yes—
239#340C2314yes—
240#340C2314yes—
241#340C2312yes—
242#340C2312yes—
243#340C2312yes—
244#340C2312yes—
245#336C2312yes—
246#336C2312yes—
247C25C2×D412yes—
248C22×Q8—22no—
249C22×Q8—24no—
250C22×Q8—28no—
251C22×Q8—42no—
252C22×Q8—44no—
253C22×Q8C2412yes—
254C22×Q8C2411yescharacteristic
255C22×D4—24no—
256C22×D4—24no—
257C22×D4SD1618yes—
258C22×D4C2×D412yes—
259C22×D4C2×D411yescharacteristic
260C22×D4C2×D411yescharacteristic
261C23×C4—21no—
262C23×C4—24no—
263C23×C4—28no—
264C23×C4—24no—
265C23×C4—21no—
266C23×C4—22no—
267C23×C4—22no—
268C23×C4—22no—
269C23×C4—24no—
270C23×C4—24no—
271C23×C4—44no—
272C23×C4—48no—
273C23×C4—48no—
274C23×C4—84no—
275C23×C4C2×D411yescharacteristic
276C23×C4C2×D412yes—
277C23×C4C2×D412yes—
278C23×C4C2×D412yes—
279C23×C4C2×D411yescharacteristic
280C23×C4C2412yes—
281C23×C4C2411yescharacteristic
282C23×C4C2412yes—
283C22×C8—28no—
284C22×C8—28no—
285C22×C8—44no—
286C22×C8C2414yes—
287C22×C8C2412yes—
288C22×C8C2412yes—
289C4⋊Q8—24no—
290C4⋊Q8—44no—
291C22⋊Q8—22no—
292C22⋊Q8—24no—
293C22⋊Q8—24no—
294C22⋊Q8—28no—
295C22⋊Q8—24no—
296C22⋊Q8—24no—
297C22⋊Q8—48no—
298C22⋊Q8—42no—
299C22⋊Q8—42no—
300C22⋊Q8—48no—
301C22⋊Q8—48no—
302C22⋊Q8—44no—
303C22⋊Q8C2×D414yes—
304C4×Q8—24no—
305C4×D4—24no—
306C4×D4—28no—
307C4×D4—24no—
308C4×D4—28no—
309C4×D4—24no—
310C4×D4—44no—
311C4×D4—416no—
312C4×D4—48no—
313C4×D4—48no—
314C4×D4—44no—
315C4×D4#4118yes—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—24no—
320C2×C4⋊C4—24no—
321C2×C4⋊C4—24no—
322C2×C4⋊C4—28no—
323C2×C4⋊C4—28no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—24no—
327C2×C4⋊C4—24no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—44no—
346C2×C4⋊C4—44no—
347C2×C4⋊C4—42no—
348C2×C4⋊C4—42no—
349C2×C4⋊C4—48no—
350C2×C4⋊C4—48no—
351C2×C4⋊C4—48no—
352C2×C4⋊C4—48no—
353C2×C4⋊C4—44no—
354C2×C4⋊C4—82no—
355C2×C4⋊C4C2×D411yescharacteristic
356C2×C4⋊C4C2×D412yes—
357C2×C4⋊C4C2×D414yes—
358C2×C4⋊C4C2×D411yescharacteristic
359C2×C4⋊C4C2414yes—
360C2×C4⋊C4C2412yes—
361C2×C4⋊C4C2412yes—
362C2×C4⋊C4C2411yescharacteristic
363C2×C4⋊C4C2411yescharacteristic
364C2×C4⋊C4C2412yes—
365C2×C4⋊C4C2411yescharacteristic
366C2×C22⋊C4—21no—
367C2×C22⋊C4—28no—
368C2×C22⋊C4—24no—
369C2×C22⋊C4—24no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—21no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—48no—
379C2×C22⋊C4—48no—
380C2×C22⋊C4C2×D412yes—
381C2×C22⋊C4C2×D412yes—
382C2×C22⋊C4C2×D412yes—
383C2×C22⋊C4C2×D412yes—
384C2×C42—24no—
385C2×C42—22no—
386C2×C42—22no—
387C2×C42—21no—
388C2×C42—21no—
389C2×C42—44no—
390C2×C42C2×D411yescharacteristic
391C2×C42C2×D411yescharacteristic
392C2×C42C2411yescharacteristic
393C2×C42C2411yescharacteristic
394#106—28no—
395#106—28no—
396#106—28no—
397#106—42no—
398#106—44no—
399#106C2×D418yescomplemented
400C4⋊C8—24no—
401#103—28no—
402#103—28no—
403#103—28no—
404#103—44no—
405#103—42no—
406#103—44no—
407#103C2×D418yescomplemented
408C22⋊C8—24no—
409C22⋊C8—28no—
410C22⋊C8—22no—
411C22⋊C8—28no—
412C22⋊C8—44no—
413C22⋊C8C2×D414yes—
414C4×C8—24no—
415#95—22no—
416#95—22no—
417#95—24no—
418#95—24no—
419#95—21no—
420#95—21no—
421#95—21no—
422#95—21no—
423#95—21no—
424#95—22no—
425#95—22no—
426#95—22no—
427#95—22no—
428C24—24no—
429C24—24no—
430C24—24no—
431C24—24no—
432C24—42no—
433C24—42no—
434C24C2×SD1618yes—
435C24C22×D412yes—
436C24C22×D412yes—
437C24C22×D411yescharacteristic
438C2×Q8—21no—
439C2×Q8—22no—
440C2×Q8—22no—
441C2×Q8—24no—
442C2×Q8—22no—
443C2×Q8—22no—
444C2×Q8—24no—
445C2×Q8—44no—
446C2×Q8—416no—
447C2×Q8—44no—
448C2×Q8—82no—
449C2×Q8—88no—
450C2×Q8C22×D412yes—
451C2×D4—24no—
452C2×D4—24no—
453C2×D4—232no—
454C2×D4—22no—
455C2×D4—22no—
456C2×D4#12314yes—
457C2×D4C2×SD1618yes—
458C2×D4C2×SD1614yes—
459C2×D4C2×SD1614yes—
460C2×D4#13714yes—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—24no—
482C22×C4—22no—
483C22×C4—24no—
484C22×C4—22no—
485C22×C4—21no—
486C22×C4—21no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—41no—
494C22×C4—416no—
495C22×C4—416no—
496C22×C4—44no—
497C22×C4—44no—
498C22×C4—48no—
499C22×C4—48no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—42no—
507C22×C4—44no—
508C22×C4—48no—
509C22×C4—48no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—82no—
513C22×C4—84no—
514C22×C4—84no—
515C22×C4—82no—
516C22×C4—832no—
517C22×C4C2×SD1614yes—
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D412yes—
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D412yes—
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D412yes—
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C2×#4118yes—
527C22×C4H(5,𝔽2)12yes—
528C22×C4C2511yescharacteristic
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—24no—
532C2×C8—22no—
533C2×C8—24no—
534C2×C8—22no—
535C2×C8—22no—
536C2×C8—24no—
537C2×C8—416no—
538C2×C8C22×D414yes—
539C4⋊C4—24no—
540C4⋊C4—22no—
541C4⋊C4—24no—
542C4⋊C4—24no—
543C4⋊C4—22no—
544C4⋊C4—21no—
545C4⋊C4—24no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—24no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—48no—
554C4⋊C4—48no—
555C4⋊C4—44no—
556C4⋊C4—44no—
557C4⋊C4—44no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—44no—
562C4⋊C4—42no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—44no—
567C4⋊C4—42no—
568C4⋊C4—81no—
569C4⋊C4—81no—
570C4⋊C4—82no—
571C4⋊C4—82no—
572C4⋊C4—82no—
573C4⋊C4#12314yes—
574C4⋊C4C22×D414yes—
575C4⋊C4C22×D412yes—
576C22⋊C4—24no—
577C22⋊C4—24no—
578C22⋊C4—24no—
579C22⋊C4—24no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—48no—
585C22⋊C4—48no—
586C22⋊C4—44no—
587C22⋊C4—42no—
588C22⋊C4—82no—
589C22⋊C4—82no—
590C22⋊C4#12318yes—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—42no—
595C42—44no—
596C42—44no—
597C42—42no—
598C42C2×#4114yes—
599C23—21no—
600C23—22no—
601C23—21no—
602C23—22no—
603C23—21no—
604C23—22no—
605C23—21no—
606C23—22no—
607C23—22no—
608C23—216no—
609C23—22no—
610C23—22no—
611C23—22no—
612C23—216no—
613C23—22no—
614C23—22no—
615C23—48no—
616C23—48no—
617C23—48no—
618C23—48no—
619C23—48no—
620C23C2×#12314yes—
621C23D4212yes—
622C23C22×SD1614yes—
623C23C22×SD1614yes—
624C23C22×SD1612yes—
625C23C2×#13714yes—
626C23#57712yes—
627C23C23×D411yescharacteristic
628Q8—24no—
629Q8—42no—
630Q8—44no—
631Q8—44no—
632Q8—88no—
633D4—216no—
634D4—28no—
635D4#483116yesdirect product factor
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—22no—
640C2×C4—21no—
641C2×C4—22no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—28no—
645C2×C4—28no—
646C2×C4—24no—
647C2×C4—24no—
648C2×C4—28no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—24no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—21no—
658C2×C4—48no—
659C2×C4—44no—
660C2×C4—48no—
661C2×C4—48no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—41no—
665C2×C4—48no—
666C2×C4—42no—
667C2×C4—41no—
668C2×C4—42no—
669C2×C4—44no—
670C2×C4—44no—
671C2×C4—41no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—41no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—44no—
679C2×C4—41no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—44no—
684C2×C4—41no—
685C2×C4—42no—
686C2×C4—41no—
687C2×C4—41no—
688C2×C4—44no—
689C2×C4—88no—
690C2×C4—816no—
691C2×C4—816no—
692C2×C4—88no—
693C2×C4—84no—
694C2×C4—88no—
695C2×C4C2×#12312yes—
696C2×C4C2×#12314yes—
697C2×C4C2×#12312yes—
698C2×C4D4212yes—
699C2×C4C22×SD1612yes—
700C2×C4C22×SD1612yes—
701C2×C4C2×#13712yes—
702C2×C4C23×D411yescharacteristic
703C2×C4C22×#4112yes—
704C2×C4C2×H(5,𝔽2)11yescharacteristic
705C2×C4#58512yes—
706C8—24no—
707C8—44no—
708C8—42no—
709C22—22no—
710C22—24no—
711C22—22no—
712C22—22no—
713C22—24no—
714C22—24no—
715C22—24no—
716C22—22no—
717C22—22no—
718C22—24no—
719C22—22no—
720C22—24no—
721C22—24no—
722C22—24no—
723C22—24no—
724C22—432no—
725C22—42no—
726C22—42no—
727C22—42no—
728C22—42no—
729C22C2×#48318yescomplemented
730C22D4×SD1614yes—
731C22C22×#12311yescharacteristic
732C22C2×D4211yescharacteristic
733C22#348511yescharacteristic
734C22C23×SD1611yescharacteristic
735C22C22×#13711yescharacteristic
736C22C2×#57711yescharacteristic
737C22#358611yescharacteristic
738C4—22no—
739C4—22no—
740C4—22no—
741C4—24no—
742C4—41no—
743C4—44no—
744C4—42no—
745C4—42no—
746C4—42no—
747C4—81no—
748C4—81no—
749C4—84no—
750C4—82no—
751C4—82no—
752C4—82no—
753C4C2×#48314yescomplemented
754C4D4×#4112yes—
755C4#351312yes—
756C2—24no—
757C2—28no—
758C2—44no—
759C2D4×#12311yescharacteristic
760C2C22×#48311yescharacteristic
761C2#6052211yescharacteristic
762C2C2×D4×SD1611yescharacteristic
763C2D4×#13711yescharacteristic
764C2#6169511yescharacteristic
765C2#6173511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C22×#483C2semidirect
4. #33108C2semidirect
5. #32982C2semidirect
6. #27905C2semidirect
7. #27647C2semidirect
8. #26234C2semidirect
9. #26128C2semidirect
10. #25014C2semidirect
11. #24863C2semidirect
12. #24551C2semidirect
13. #24003C2semidirect
14. D4×#106C2semidirect
15. D4×#103C2semidirect
17. C4×#483C2semidirect
29. C2×#483C22semidirect
30. C2×#483C22semidirect
32. C22×#106C22semidirect
33. C22×#103C22semidirect
60. #2096C22semidirect
61. #2084C22semidirect
62. #2077C22semidirect
63. #2072C22semidirect
64. #2035C22semidirect
65. #2035C22semidirect
66. #2035C22semidirect
67. #1981C22semidirect
68. #1956C22semidirect
70. #1948C22semidirect
71. #1948C22semidirect
72. #1927C22semidirect
73. #1927C22semidirect
74. #1920C22semidirect
75. #1892C22semidirect
78. #1872C22semidirect
79. #1872C22semidirect
82. #1853C22semidirect
83. #1853C22semidirect
84. #1853C22semidirect
85. #1844C22semidirect
88. #1807C22semidirect
89. #1803C22semidirect
91. #1787C22semidirect
93. C4×#106C22semidirect
94. C4×#103C22semidirect
155. #483D4direct (N × H)
399. #106C2×D4semidirect
407. #103C2×D4semidirect
635. D4#483direct (N × H)
729. C22C2×#483semidirect
753. C4C2×#483semidirect

Maximal subgroups

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

subgroupindex
C22×#4832
D4×C22⋊Q82
C2×D4×C4⋊C42
#331082
#329822
#279052
#276472
#262342
#261282
#250142
#248632
#245512
#240032
D4×#1062
D4×#1032
D4×C22⋊C82
C4×#4832