Finite Group Databasebeta

← #6578595

Subgroups — #6578595

Order 512.

2551 conjugacy classes of subgroups.

The subgroup lattice has 763 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3114C212yesmaximal, complemented
2#36116C211yesmaximal, characteristic, complemented
3C2×#2366C211yesmaximal, characteristic, complemented
4#33108C211yesmaximal, characteristic, complemented
5#33007C212yesmaximal, complemented
6#26913C214yesmaximal, complemented
7#26600C214yesmaximal, complemented
8#26467C212yesmaximal, complemented
9#25717C211yesmaximal, characteristic, complemented
10#25367C212yesmaximal, complemented
11#24507C212yesmaximal, complemented
12#24208C211yesmaximal, characteristic
13#23936C212yesmaximal, complemented
14#23190C212yesmaximal, complemented
15#23001C212yesmaximal, complemented
16#22603C211yesmaximal, characteristic, complemented
17C4×#480C211yesmaximal, characteristic, complemented
18C22×#127C2211yescharacteristic
19C2×#529C2212yes—
20C22×C4×D4—21no—
21C22×C4×D4C2212yes—
22C2×#492C2212yes—
23#3114—216no—
24C2×#483C2212yes—
25C2×#480C2211yescharacteristic
26C2×#478C2214yescomplemented
27C2×#463C2214yescomplemented
28C2×#459C2212yes—
29C2×#450C2212yes—
30C2×#450C2212yes—
31C2×#447C2212yes—
32C2×#442C2214yescomplemented
33C2×#440C2214yescomplemented
34C2×#432C2212yes—
35#2857C2211yescharacteristic
36#2855C2212yes—
37#2552C2211yescharacteristic, complemented
38#2547C2211yescharacteristic, complemented
39#2496—21no—
40#2486—21no—
41#2478—22no—
42#2453C2212yescomplemented
43#2447C2212yescomplemented
44#2419—22no—
45#2366—21no—
46#2366—22no—
47#2366—21no—
48#2366C2212yes—
49#2366C2214yes—
50#2366C2212yes—
51#2365C2211yescharacteristic, complemented
52D4×C4⋊C4—21no—
53D4×C4⋊C4C2211yescharacteristic, complemented
54#2344—21no—
55C4×#121C2211yescharacteristic
56C2×#390—21no—
57C2×#390C2212yes—
58C2×#386—22no—
59C2×C4×C4⋊C4C2211yescharacteristic
60C2×C4×C4⋊C4C2211yescharacteristic
61#2067C2214yescomplemented
62#2055C2214yescomplemented
63#2041C2212yes—
64#2025C2214yescomplemented
65#2014C2214yes—
66#2012C2214yescomplemented
67#2011C2212yes—
68#1982C2212yes—
69#1981C2212yescomplemented
70#1973C2214yescomplemented
71#1957C2212yes—
72#1948C2212yescomplemented
73#1939C2212yescomplemented
74#1936C2214yescomplemented
75#1927C2214yescomplemented
76#1925C2212yescomplemented
77#1918C2212yescomplemented
78#1917C2214yescomplemented
79#1880C2214yescomplemented
80#1879C2214yescomplemented
81#1877C2214yescomplemented
82#1877C2214yescomplemented
83#1874C2211yescharacteristic
84#1872C2212yes—
85#1864C2214yescomplemented
86#1864C2214yescomplemented
87#1852C2211yescharacteristic
88#1823C2211yescharacteristic
89#1817C2212yes—
90#1797C2211yescharacteristic
91#1786C2212yes—
92C4×#107C2212yescomplemented
93#1770C2212yescomplemented
94C4×#102C2212yescomplemented
95C4×C22⋊C8C2211yescharacteristic
96C23×D4—21no—
97C23×D4—21no—
98C23×D4C2312yes—
99C24×C4—22no—
100C22×SD16C2314yes—
101C22×SD16C2314yes—
102C22×D8C2314yes—
103C2×C4⋊Q8C2311yescharacteristic
104C2×#127—28no—
105C2×#127—21no—
106C2×#127—21no—
107C2×#127C2312yes—
108C2×#127C2312yes—
109#529—28no—
110#529—44no—
111C2×#126—22no—
112C2×#125C2312yes—
113C2×#124C2312yes—
114C2×#123—22no—
115C2×C22⋊Q8C2312yes—
116C2×#121C2311yescharacteristic
117C2×C4×Q8C2312yes—
118C2×C4×D4—22no—
119C2×C4×D4—21no—
120C2×C4×D4—22no—
121C2×C4×D4—22no—
122C2×C4×D4—24no—
123C2×C4×D4—28no—
124C2×C4×D4—22no—
125C2×C4×D4—22no—
126C2×C4×D4—44no—
127C2×C4×D4—48no—
128C2×C4×D4C2311yescharacteristic
129C2×C4×D4C2314yes—
130C2×C4×D4C2312yes—
131C2×C4×D4C2314yes—
132C2×#117—22no—
133C22×C4⋊C4—21no—
134C22×C4⋊C4D411yescharacteristic
135C22×C4⋊C4D411yescharacteristic
136C22×C4⋊C4C2311yescharacteristic
137C22×C4⋊C4C2311yescharacteristic
138C22×C22⋊C4—22no—
139C22×C22⋊C4—22no—
140C22×C22⋊C4—22no—
141C22×C42—21no—
142C22×C42C2311yescharacteristic
143C22×C42C2312yes—
144#492—28no—
145#483—28no—
146#480D418yescomplemented
147#478—216no—
148#463—216no—
149#459—28no—
150#450—28no—
151#450—44no—
152#447—28no—
153#442—216no—
154#440—216no—
155#432—28no—
156C2×#107C2312yes—
157C2×#107C2312yes—
158C2×#106C2314yes—
159C2×C4⋊C8C2314yes—
160C2×C4⋊C8C2312yes—
161C2×#103C2314yes—
162C2×#103C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×#102C2312yes—
169C2×#102C2312yes—
170C2×C22⋊C8C2312yes—
171C2×C22⋊C8C2311yescharacteristic
172C2×C22⋊C8C2311yescharacteristic
173C2×#97C2314yes—
174C2×C4×C8C2312yes—
175#400—22no—
176#398—22no—
177#398—22no—
178#397—22no—
179#397—22no—
180#397—22no—
181#391C2312yes—
182#391C2312yes—
183#391C2312yes—
184#390—22no—
185#390—22no—
186#390—24no—
187#390—22no—
188#390—22no—
189#390C2314yes—
190#390C2314yes—
191#390C2311yescharacteristic
192#389—21no—
193#389—22no—
194#389—21no—
195#389—21no—
196#389—21no—
197#389C2312yes—
198#389C2312yes—
199#389C2311yescharacteristic
200#388—21no—
201#387—22no—
202#387—22no—
203#387—22no—
204#387—22no—
205#386—21no—
206#386—24no—
207#386—24no—
208#386—24no—
209#386—24no—
210#385—22no—
211#385—22no—
212#385—22no—
213#384—21no—
214#384C2311yescharacteristic
215#381—22no—
216#381—22no—
217#380—21no—
218#380—21no—
219#380—21no—
220#380—21no—
221#380—21no—
222#380C2311yescharacteristic
223C4×C4⋊C4—21no—
224C4×C4⋊C4—21no—
225C4×C4⋊C4—21no—
226C4×C4⋊C4D411yescharacteristic
227C4×C4⋊C4D412yes—
228C4×C4⋊C4D411yescharacteristic
229C4×C4⋊C4C2311yescharacteristic
230C4×C4⋊C4C2312yes—
231C4×C4⋊C4C2312yes—
232C4×C4⋊C4C2311yescharacteristic
233C4×C4⋊C4C2312yes—
234C4×C4⋊C4C2311yescharacteristic
235C4×C22⋊C4—21no—
236C2×#95—21no—
237C2×#95D412yes—
238#340C2312yes—
239#340C2314yes—
240#340C2312yes—
241#340C2312yes—
242#340C2312yes—
243#336C2312yes—
244#336C2314yes—
245#336C2314yes—
246#336C2312yes—
247C25—22no—
248C22×Q8C2412yes—
249C22×D4—28no—
250C22×D4—21no—
251C22×D4—28no—
252C22×D4—28no—
253C22×D4—22no—
254C22×D4—22no—
255C22×D4—22no—
256C22×D4—22no—
257C22×D4—22no—
258C22×D4—24no—
259C22×D4—24no—
260C22×D4—44no—
261C22×D4—44no—
262C22×D4—44no—
263C22×D4—82no—
264C22×D4—82no—
265C22×D4C2411yescharacteristic
266C22×D4C2414yes—
267C23×C4—21no—
268C23×C4—21no—
269C23×C4—21no—
270C23×C4—22no—
271C23×C4—24no—
272C23×C4—24no—
273C23×C4—48no—
274C23×C4—48no—
275C23×C4—84no—
276C23×C4C2×D412yes—
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D411yescharacteristic
279C23×C4C2×D412yes—
280C23×C4C2411yescharacteristic
281C2×SD16—28no—
282C2×SD16—28no—
283C2×SD16—28no—
284C2×SD16—44no—
285C2×SD16—44no—
286C2×SD16—44no—
287C2×D8—28no—
288C2×D8—28no—
289C2×D8—44no—
290C22×C8C2414yes—
291C22×C8C2412yes—
292C22×C8C2412yes—
293C4⋊Q8—24no—
294#127—28no—
295#127—28no—
296#127—28no—
297#127—24no—
298#127#4118yes—
299#126—48no—
300#125—24no—
301#125—42no—
302#124—24no—
303#124—42no—
304#123—48no—
305C22⋊Q8—24no—
306C22⋊Q8—24no—
307#121—22no—
308#121C2×D414yes—
309C4×Q8—24no—
310C4×Q8—42no—
311C4×D4—24no—
312C4×D4—28no—
313C4×D4—28no—
314C4×D4—24no—
315C4×D4—44no—
316C4×D4—44no—
317C4×D4—42no—
318C4×D4—48no—
319C4×D4—48no—
320C4×D4—416no—
321C4×D4—48no—
322C4×D4—48no—
323C4×D4—48no—
324C4×D4—44no—
325#117—48no—
326C2×C4⋊C4—24no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—42no—
342C2×C4⋊C4—42no—
343C2×C4⋊C4—44no—
344C2×C4⋊C4C2×D411yescharacteristic
345C2×C4⋊C4C2×D411yescharacteristic
346C2×C4⋊C4C2×D411yescharacteristic
347C2×C4⋊C4C2×D412yes—
348C2×C4⋊C4C2×D411yescharacteristic
349C2×C4⋊C4C2×D414yes—
350C2×C4⋊C4C2×D412yes—
351C2×C4⋊C4C2412yes—
352C2×C4⋊C4C2412yes—
353C2×C4⋊C4C2411yescharacteristic
354C2×C4⋊C4C2411yescharacteristic
355C2×C4⋊C4C2412yes—
356C2×C4⋊C4C2411yescharacteristic
357C2×C22⋊C4—21no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—21no—
360C2×C22⋊C4—24no—
361C2×C22⋊C4—24no—
362C2×C22⋊C4—24no—
363C2×C22⋊C4—24no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—21no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—21no—
369C2×C22⋊C4—24no—
370C2×C22⋊C4—24no—
371C2×C22⋊C4—21no—
372C2×C22⋊C4—48no—
373C2×C22⋊C4—48no—
374C2×C22⋊C4—84no—
375C2×C42—24no—
376C2×C42—24no—
377C2×C42—24no—
378C2×C42—22no—
379C2×C42—22no—
380C2×C42—22no—
381C2×C42—21no—
382C2×C42—44no—
383C2×C42C2×D412yes—
384C2×C42C2×D412yes—
385C2×C42C2×D411yescharacteristic
386C2×C42C2×D411yescharacteristic
387C2×C42C2412yes—
388C2×C42C2412yes—
389C2×C42C2411yescharacteristic
390C2×C42C2411yescharacteristic
391#107—42no—
392#107C2×D418yescomplemented
393#106—28no—
394C4⋊C8—28no—
395C4⋊C8—24no—
396#103—28no—
397#103—44no—
398#102—28no—
399#102—28no—
400#102—28no—
401#102—44no—
402#102—42no—
403#102—44no—
404#102C2×D418yescomplemented
405C22⋊C8—24no—
406C22⋊C8—22no—
407C22⋊C8C2×D414yes—
408#97—28no—
409C4×C8—24no—
410#95—22no—
411#95—22no—
412#95—21no—
413#95—21no—
414#95—22no—
415#95—21no—
416#95—22no—
417#95—22no—
418#95—22no—
419#95—22no—
420#95—22no—
421#95—22no—
422#95—22no—
423#95C2×D412yes—
424#95C2×D412yes—
425#95C2×D412yes—
426#95C2×D412yes—
427C24—28no—
428C24—21no—
429C24—24no—
430C24—44no—
431C24—44no—
432C24—44no—
433C24—44no—
434C24—44no—
435C24—44no—
436C24C22×D411yescharacteristic
437C2×Q8—22no—
438C2×Q8—24no—
439C2×Q8—22no—
440C2×Q8—24no—
441C2×D4—28no—
442C2×D4—28no—
443C2×D4—24no—
444C2×D4—28no—
445C2×D4—28no—
446C2×D4—28no—
447C2×D4—24no—
448C2×D4—22no—
449C2×D4—24no—
450C2×D4—24no—
451C2×D4—21no—
452C2×D4—22no—
453C2×D4—24no—
454C2×D4—24no—
455C2×D4—416no—
456C2×D4—416no—
457C2×D4—44no—
458C2×D4—44no—
459C2×D4—432no—
460C2×D4—42no—
461C2×D4—42no—
462C2×D4—44no—
463C2×D4—44no—
464C2×D4—44no—
465C2×D4—44no—
466C2×D4—82no—
467C2×D4—82no—
468C2×D4—82no—
469C2×D4—82no—
470C2×D4—816no—
471C2×D4C22×D412yes—
472C2×D4C2×#4118yes—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—22no—
482C22×C4—21no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—22no—
486C22×C4—21no—
487C22×C4—21no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—41no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—48no—
495C22×C4—48no—
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—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—82no—
509C22×C4—84no—
510C22×C4—84no—
511C22×C4—832no—
512C22×C4AGL(1,ℤ/8)14yes—
513C22×C4C22×D411yescharacteristic
514C22×C4C22×D412yes—
515C22×C4C22×D412yes—
516C22×C4C22×D412yes—
517C22×C4C22×D412yes—
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D412yes—
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4H(5,𝔽2)12yes—
524C22×C4C2511yescharacteristic
525SD16—416no—
526SD16—88no—
527D8—416no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—24no—
531C2×C8—22no—
532C2×C8—24no—
533C2×C8—22no—
534C2×C8—24no—
535C2×C8—22no—
536C2×C8C22×D414yes—
537C4⋊C4—24no—
538C4⋊C4—24no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—21no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—42no—
552C4⋊C4—44no—
553C4⋊C4—44no—
554C4⋊C4—44no—
555C4⋊C4—42no—
556C4⋊C4—44no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—44no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—81no—
563C4⋊C4—82no—
564C4⋊C4C22×D412yes—
565C4⋊C4C22×D414yes—
566C22⋊C4—24no—
567C22⋊C4—48no—
568C22⋊C4—48no—
569C22⋊C4—44no—
570C22⋊C4—44no—
571C22⋊C4—44no—
572C22⋊C4—48no—
573C22⋊C4—48no—
574C22⋊C4—44no—
575C22⋊C4—42no—
576C22⋊C4—42no—
577C22⋊C4—42no—
578C22⋊C4—81no—
579C22⋊C4—84no—
580C22⋊C4—84no—
581C42—22no—
582C42—22no—
583C42—24no—
584C42—24no—
585C42—22no—
586C42—22no—
587C42—22no—
588C42—22no—
589C42—22no—
590C42—44no—
591C42—44no—
592C42—44no—
593C42—42no—
594C42C2×#4114yes—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—28no—
600C23—22no—
601C23—416no—
602C23—416no—
603C23—416no—
604C23—44no—
605C23—41no—
606C23—41no—
607C23—44no—
608C23—44no—
609C23—41no—
610C23—44no—
611C23—41no—
612C23—41no—
613C23—44no—
614C23—44no—
615C23—41no—
616C23—88no—
617C23—88no—
618C23—88no—
619C23—88no—
620C23D4212yes—
621C23C2×AGL(1,ℤ/8)12yes—
622C23#57712yes—
623C23C23×D411yescharacteristic
624Q8—44no—
625Q8—44no—
626D4—24no—
627D4—28no—
628D4—28no—
629D4—416no—
630D4—416no—
631D4—48no—
632D4—416no—
633D4—44no—
634D4—42no—
635D4—44no—
636D4—88no—
637D4—88no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—28no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—24no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—21no—
664C2×C4—44no—
665C2×C4—48no—
666C2×C4—48no—
667C2×C4—42no—
668C2×C4—41no—
669C2×C4—42no—
670C2×C4—41no—
671C2×C4—42no—
672C2×C4—41no—
673C2×C4—42no—
674C2×C4—41no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—41no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—41no—
683C2×C4—41no—
684C2×C4—41no—
685C2×C4—42no—
686C2×C4—84no—
687C2×C4—816no—
688C2×C4—816no—
689C2×C4—88no—
690C2×C4—84no—
691C2×C4—84no—
692C2×C4#52512yes—
693C2×C4#52512yes—
694C2×C4D4212yes—
695C2×C4C2×AGL(1,ℤ/8)12yes—
696C2×C4C2×AGL(1,ℤ/8)12yes—
697C2×C4#57512yes—
698C2×C4C23×D411yescharacteristic
699C2×C4C22×#4112yes—
700C2×C4C2×H(5,𝔽2)11yescharacteristic
701C2×C4#58512yes—
702C8—24no—
703C8—44no—
704C8—42no—
705C22—22no—
706C22—22no—
707C22—22no—
708C22—22no—
709C22—22no—
710C22—22no—
711C22—48no—
712C22—42no—
713C22—42no—
714C22—48no—
715C22—42no—
716C22—48no—
717C22—832no—
718C22—84no—
719C22—81no—
720C22—84no—
721C22—81no—
722C22—81no—
723C22—84no—
724C22—81no—
725C22—84no—
726C22#327214yes—
727C22C2×#52511yescharacteristic
728C22C2×D4211yescharacteristic
729C22#348711yescharacteristic
730C22C22×AGL(1,ℤ/8)11yescharacteristic
731C22C2×#57511yescharacteristic
732C22C2×#57711yescharacteristic
733C22#358511yescharacteristic
734C4—22no—
735C4—22no—
736C4—22no—
737C4—42no—
738C4—42no—
739C4—44no—
740C4—42no—
741C4—42no—
742C4—42no—
743C4—41no—
744C4—82no—
745C4—81no—
746C4—82no—
747C4—81no—
748C4—82no—
749C4#311414yescomplemented
750C4D4×#4112yes—
751C4#351312yes—
752C2—24no—
753C2—82no—
754C2—88no—
755C2#3610211yescharacteristic
756C2C2×#311411yescharacteristic
757C2#6057911yescharacteristic
758C2C2×#327211yescharacteristic
759C2#6107011yescharacteristic
760C2#6189011yescharacteristic
761C2#6190411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#24208C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×C4⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3114C2semidirect
2. #36116C2semidirect
3. C2×#2366C2semidirect
4. #33108C2semidirect
5. #33007C2semidirect
6. #26913C2semidirect
7. #26600C2semidirect
8. #26467C2semidirect
9. #25717C2semidirect
10. #25367C2semidirect
11. #24507C2semidirect
13. #23936C2semidirect
14. #23190C2semidirect
15. #23001C2semidirect
16. #22603C2semidirect
17. C4×#480C2semidirect
26. C2×#478C22semidirect
27. C2×#463C22semidirect
32. C2×#442C22semidirect
33. C2×#440C22semidirect
37. #2552C22semidirect
38. #2547C22semidirect
42. #2453C22semidirect
43. #2447C22semidirect
51. #2365C22semidirect
53. D4×C4⋊C4C22semidirect
61. #2067C22semidirect
62. #2055C22semidirect
64. #2025C22semidirect
66. #2012C22semidirect
69. #1981C22semidirect
70. #1973C22semidirect
72. #1948C22semidirect
73. #1939C22semidirect
74. #1936C22semidirect
75. #1927C22semidirect
76. #1925C22semidirect
77. #1918C22semidirect
78. #1917C22semidirect
79. #1880C22semidirect
80. #1879C22semidirect
81. #1877C22semidirect
82. #1877C22semidirect
85. #1864C22semidirect
86. #1864C22semidirect
92. C4×#107C22semidirect
93. #1770C22semidirect
94. C4×#102C22semidirect
146. #480D4semidirect
392. #107C2×D4semidirect
404. #102C2×D4semidirect
749. C4#3114semidirect

Maximal subgroups

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

subgroupindex
C2×#31142
#361162
C2×#23662
#331082
#330072
#269132
#266002
#264672
#257172
#253672
#245072
#242082
#239362
#231902
#230012
#226032
C4×#4802