Finite Group Databasebeta

← #6380520

Subgroups — #6380520

Order 512.

2364 conjugacy classes of subgroups.

The subgroup lattice has 747 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×AGL(1,ℤ/8)C211yesmaximal, characteristic
2#34186C211yesmaximal, characteristic, complemented
3#34183C211yesmaximal, characteristic, complemented
4#22775C214yesmaximal, complemented
5#22774C214yesmaximal, complemented
6#22767C212yesmaximal, complemented
7#22766C212yesmaximal, complemented
8#22759C212yesmaximal, complemented
9#22758C212yesmaximal, complemented
10#21091C212yesmaximal, complemented
11#21035C212yesmaximal, complemented
12#20932C212yesmaximal
13#20764C211yesmaximal, characteristic, complemented
14#20645C211yesmaximal, characteristic, complemented
15C2×#1802C211yesmaximal, characteristic, complemented
16#20441C211yesmaximal, characteristic, complemented
17#20415C212yesmaximal, complemented
18C22×AGL(1,ℤ/8)C2211yescharacteristic
19C2×#520C2212yes—
20C2×C4×#41C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C4×AGL(1,ℤ/8)C4116yescomplemented
23C2×#442C2212yes—
24C2×#440C2212yes—
25C2×C4×SD16C2212yes—
26C2×C4×D8C2212yes—
27C2×#428C2211yescharacteristic
28C22×C4⋊C8C2211yescharacteristic
29C2×#417C2211yescharacteristic
30C2×#418C2211yescharacteristic
31C2×#416C2212yes—
32C22×#102C2212yes—
33C2×#405C2212yes—
34C2×C4×M16C2211yescharacteristic
35#2357—22no—
36#2357C2214yes—
37#2354—21no—
38#2354—21no—
39#2354C2212yes—
40#2354C2212yes—
41Q8×C4⋊C4C2212yescomplemented
42Q8×C4⋊C4C2212yescomplemented
43D4×C4⋊C4—22no—
44D4×C4⋊C4—22no—
45D4×C4⋊C4C2212yescomplemented
46D4×C4⋊C4C2212yescomplemented
47#2317—22no—
48#2317C2212yes—
49#2312—22no—
50#2309C2212yes—
51#2285—21no—
52#2285C2211yescharacteristic
53#2285C2211yescharacteristic
54C2×#384—21no—
55C2×#384C2211yescharacteristic
56#2280—22no—
57#2274C2212yes—
58#1936C2214yes—
59#1936C2214yes—
60#1934C2214yes—
61#1934C2214yes—
62#1921C2214yescomplemented
63#1920C2214yescomplemented
64#1919C2214yescomplemented
65#1918C2214yescomplemented
66#1880C2214yes—
67#1880C2214yes—
68#1879C2214yes—
69#1879C2214yes—
70#1836C2214yescomplemented
71#1834C2212yescomplemented
72#1834C2212yescomplemented
73#1805C2212yescomplemented
74#1804C2212yescomplemented
75#1803C2211yescharacteristic, complemented
76#1803C2211yescharacteristic, complemented
77#1802C2212yes—
78#1802C2212yes—
79#1802C2214yes—
80#1802C2211yescharacteristic, complemented
81#1802C2211yescharacteristic, complemented
82#1771C2214yescomplemented
83#1770C2212yescomplemented
84C8×C4⋊C4C2212yescomplemented
85#1763C2214yescomplemented
86#1762C2214yescomplemented
87C4×#103C2214yescomplemented
88C4×#102C2214yescomplemented
89#1736C2212yes—
90#1736C2212yes—
91#1735C2212yes—
92C2×#340C2212yes—
93#1729C2212yes—
94C22×#41C2311yescharacteristic
95C23×D4C2311yescharacteristic
96C24×C4—21no—
97C2×AGL(1,ℤ/8)—24no—
98C2×AGL(1,ℤ/8)—24no—
99C2×AGL(1,ℤ/8)C2×C418yes—
100C22×SD16C2312yes—
101C22×D8C2312yes—
102C22×M16C2311yescharacteristic
103C22×M16C2311yescharacteristic
104C23×C8C2312yes—
105#520—28no—
106#520—44no—
107C4×#41—24no—
108C4×#41C2×C418yes—
109C2×C4×Q8C2314yes—
110C2×C4×Q8C2311yescharacteristic
111C2×C4×Q8C2311yescharacteristic
112C2×C4×D4—21no—
113C2×C4×D4—21no—
114C2×C4×D4—24no—
115C2×C4×D4—21no—
116C2×C4×D4—21no—
117C2×C4×D4—24no—
118C2×C4×D4C2×C418yescomplemented
119C2×C4×D4C2314yes—
120C2×C4×D4C2312yes—
121C2×C4×D4C2312yes—
122C2×C4×D4C2311yescharacteristic
123C2×C4×D4C2311yescharacteristic
124C2×#117—22no—
125C2×#117—22no—
126C2×#117—22no—
127C2×#117—21no—
128C2×#117C2312yes—
129C2×#117C2311yescharacteristic
130C2×#117C2312yes—
131C22×C4⋊C4—21no—
132C22×C4⋊C4—21no—
133C22×C4⋊C4—22no—
134C22×C4⋊C4—22no—
135C22×C4⋊C4—22no—
136C22×C4⋊C4C2312yes—
137C22×C4⋊C4C2311yescharacteristic
138C22×C22⋊C4—21no—
139C22×C42—21no—
140C22×C42C2311yescharacteristic
141#442C2×C4116yescomplemented
142#440C2×C4116yescomplemented
143C4×SD16C2×C4116yescomplemented
144C4×D8C2×C4116yescomplemented
145#428C2×C418yescomplemented
146C2×#107C2312yes—
147C2×#106C2312yes—
148C2×C4⋊C8—24no—
149C2×C4⋊C8C2311yescharacteristic
150C2×C4⋊C8C2311yescharacteristic
151C2×C4⋊C8C2312yes—
152#418C2×C418yescomplemented
153#417C2×C418yes—
154#416—28no—
155C2×#103C2312yes—
156C2×#103C2312yes—
157C2×#103C2312yes—
158C2×#102—44no—
159C2×#102C2312yes—
160C2×#102C2312yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2312yes—
164C2×#102C2312yes—
165C2×#102C2312yes—
166#405—44no—
167C4×M16C2×C418yescomplemented
168C2×#97C2314yes—
169C2×#97C2312yes—
170C2×C4×C8C2314yes—
171C2×C4×C8C2312yes—
172#390—22no—
173#390—22no—
174#390C2314yes—
175#390C2314yes—
176#389—24no—
177#389—24no—
178#389C2314yes—
179#389C2314yes—
180#388—24no—
181#388—24no—
182#388—24no—
183#388—24no—
184#385—24no—
185#385—24no—
186#385—24no—
187#384—22no—
188#384—22no—
189#384—22no—
190#384—21no—
191#384—21no—
192#384D411yescharacteristic
193#384D411yescharacteristic
194#384C2312yes—
195#384C2312yes—
196#384C2311yescharacteristic
197#384C2311yescharacteristic
198#382—22no—
199#382D412yes—
200#382C2312yes—
201#381—24no—
202#380—21no—
203#380—21no—
204#380—22no—
205#380—22no—
206#380—22no—
207#380—22no—
208#380D412yes—
209#380D412yes—
210#379—24no—
211C4×C4⋊C4—22no—
212C4×C4⋊C4—22no—
213C4×C4⋊C4—22no—
214C4×C4⋊C4—22no—
215C4×C4⋊C4—21no—
216C4×C4⋊C4—21no—
217C4×C4⋊C4C2314yes—
218C4×C4⋊C4C2314yes—
219C4×C4⋊C4C2312yes—
220C4×C4⋊C4C2312yes—
221C4×C22⋊C4—24no—
222C4×C22⋊C4—24no—
223#340C2314yes—
224#340C2314yes—
225#340C2312yes—
226#340C2312yes—
227#340C2312yes—
228#340C2312yes—
229#340C2314yes—
230#340C2314yes—
231#340C2314yes—
232#340C2314yes—
233#336C2314yes—
234#336C2314yes—
235C25—21no—
236C2×#41—22no—
237C2×#41—22no—
238C2×#41—22no—
239C2×#41C22×C414yes—
240C2×#41#4114yes—
241C2×#41#4114yes—
242C22×Q8C2411yescharacteristic
243C22×D4—21no—
244C22×D4—21no—
245C22×D4—22no—
246C22×D4—22no—
247C22×D4—22no—
248C22×D4—22no—
249C22×D4—22no—
250C22×D4C22×C414yes—
251C22×D4C2412yes—
252C22×D4C2411yescharacteristic
253C23×C4—21no—
254C23×C4—21no—
255C23×C4—21no—
256C23×C4—21no—
257C23×C4—22no—
258C23×C4—28no—
259C23×C4—22no—
260C23×C4—22no—
261C23×C4—24no—
262C23×C4—82no—
263C23×C4—82no—
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2411yescharacteristic
267AGL(1,ℤ/8)—232no—
268C2×SD16—24no—
269C2×SD16—24no—
270C2×SD16C22×C418yes—
271C2×D8—24no—
272C2×D8—24no—
273C2×D8C22×C418yes—
274C2×M16—22no—
275C2×M16—22no—
276C2×M16—22no—
277C2×M16—22no—
278C2×M16C22×C414yes—
279C2×M16C22×C414yes—
280C22×C8—24no—
281C22×C8—24no—
282C22×C8—24no—
283C22×C8C2412yes—
284C22×C8C2412yes—
285C22×C8C2412yes—
286C22×C8C2412yes—
287C4×Q8—22no—
288C4×Q8—22no—
289C4×Q8—28no—
290C4×Q8—44no—
291C4×Q8C22×C414yes—
292C4×Q8C22×C414yes—
293C4×D4—28no—
294C4×D4—28no—
295C4×D4—28no—
296C4×D4—28no—
297C4×D4—28no—
298C4×D4—24no—
299C4×D4—24no—
300C4×D4—22no—
301C4×D4—22no—
302C4×D4—44no—
303C4×D4—416no—
304C4×D4C22×C418yes—
305C4×D4C22×C418yes—
306C4×D4C22×C414yes—
307C4×D4C22×C414yes—
308#117—22no—
309#117—24no—
310#117—24no—
311#117—28no—
312#117—24no—
313#117—24no—
314#117—48no—
315#117—84no—
316#117—84no—
317#117C22×C414yes—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—24no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—24no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—24no—
331C2×C4⋊C4—24no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—48no—
337C2×C4⋊C4—84no—
338C2×C4⋊C4—82no—
339C2×C4⋊C4—84no—
340C2×C4⋊C4—82no—
341C2×C4⋊C4C22×C414yes—
342C2×C4⋊C4C2×D412yes—
343C2×C4⋊C4C2×D412yes—
344C2×C4⋊C4C2×D412yes—
345C2×C4⋊C4C2×D412yes—
346C2×C4⋊C4C2×D412yes—
347C2×C4⋊C4C2×D412yes—
348C2×C4⋊C4C2414yes—
349C2×C4⋊C4C2412yes—
350C2×C4⋊C4C2412yes—
351C2×C4⋊C4C2412yes—
352C2×C4⋊C4C2411yescharacteristic
353C2×C4⋊C4C2411yescharacteristic
354C2×C22⋊C4—21no—
355C2×C22⋊C4—28no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—21no—
359C2×C22⋊C4—21no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—24no—
362C2×C22⋊C4—24no—
363C2×C22⋊C4—24no—
364C2×C22⋊C4—24no—
365C2×C22⋊C4—24no—
366C2×C22⋊C4C2×D414yes—
367C2×C42—21no—
368C2×C42—21no—
369C2×C42—21no—
370C2×C42—28no—
371C2×C42—24no—
372C2×C42—22no—
373C2×C42—24no—
374C2×C42—24no—
375C2×C42C22×C414yes—
376C2×C42C2×D411yescharacteristic
377C2×C42C2×D411yescharacteristic
378C2×C42#4114yes—
379C2×C42C2414yes—
380C2×C42C2411yescharacteristic
381C2×C42C2411yescharacteristic
382#107C22×C418yes—
383#106C22×C418yes—
384C4⋊C8—22no—
385C4⋊C8—22no—
386C4⋊C8—24no—
387#103—24no—
388#103—24no—
389#103C22×C418yes—
390#102—24no—
391#102—24no—
392#102—44no—
393#102—44no—
394#102C22×C418yes—
395#102C22×C418yes—
396#102C22×C418yes—
397#97—44no—
398#97C22×C418yes—
399C4×C8—44no—
400C4×C8C22×C418yes—
401#95—22no—
402#95—24no—
403#95—24no—
404#95—24no—
405#95—24no—
406#95—22no—
407#95C2×D414yes—
408#95C2×D414yes—
409C24—21no—
410C24—22no—
411C24—24no—
412C24—42no—
413C24—42no—
414C24—81no—
415C24—81no—
416C24—81no—
417C24—81no—
418C24C22×D411yescharacteristic
419#41—28no—
420#41—28no—
421#41—28no—
422#41#117116yescomplemented
423C2×Q8—21no—
424C2×Q8—21no—
425C2×Q8—21no—
426C2×Q8C23×C412yes—
427C2×Q8C2×#4112yes—
428C2×Q8C2×#4112yes—
429C2×D4—24no—
430C2×D4—24no—
431C2×D4—24no—
432C2×D4—28no—
433C2×D4—24no—
434C2×D4—28no—
435C2×D4—21no—
436C2×D4—22no—
437C2×D4—22no—
438C2×D4—22no—
439C2×D4—21no—
440C2×D4—22no—
441C2×D4—21no—
442C2×D4—22no—
443C2×D4—42no—
444C2×D4—42no—
445C2×D4—44no—
446C2×D4—44no—
447C2×D4C23×C414yes—
448C2×D4C23×C412yes—
449C2×D4C2×#4112yes—
450C2×D4C2×#4112yes—
451C22×C4—21no—
452C22×C4—24no—
453C22×C4—24no—
454C22×C4—24no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—28no—
464C22×C4—28no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—24no—
468C22×C4—41no—
469C22×C4—41no—
470C22×C4—42no—
471C22×C4—42no—
472C22×C4—48no—
473C22×C4—42no—
474C22×C4—44no—
475C22×C4—44no—
476C22×C4—42no—
477C22×C4—44no—
478C22×C4—816no—
479C22×C4—82no—
480C22×C4—82no—
481C22×C4—84no—
482C22×C4—84no—
483C22×C4—81no—
484C22×C4—81no—
485C22×C4—82no—
486C22×C4—82no—
487C22×C4C4×D414yes—
488C22×C4C4×D414yes—
489C22×C4C23×C412yes—
490C22×C4C22×D414yes—
491C22×C4C22×D414yes—
492C22×C4C22×D411yescharacteristic
493C22×C4C22×D411yescharacteristic
494C22×C4C22×D411yescharacteristic
495C22×C4C22×D411yescharacteristic
496C22×C4C22×D411yescharacteristic
497C22×C4C2×#4112yes—
498C22×C4C2×#4112yes—
499C22×C4C2×#4112yes—
500C22×C4H(5,𝔽2)12yes—
501C22×C42−1+412yes—
502C22×C4C2511yescharacteristic
503SD16—216no—
504D8—216no—
505M16—28no—
506M16—28no—
507C2×C8—22no—
508C2×C8—22no—
509C2×C8—22no—
510C2×C8—22no—
511C2×C8—22no—
512C2×C8—22no—
513C2×C8—22no—
514C2×C8—22no—
515C2×C8—22no—
516C2×C8—22no—
517C2×C8—48no—
518C2×C8C23×C414yes—
519C2×C8C23×C414yes—
520C4⋊C4—24no—
521C4⋊C4—24no—
522C4⋊C4—24no—
523C4⋊C4—24no—
524C4⋊C4—24no—
525C4⋊C4—24no—
526C4⋊C4—24no—
527C4⋊C4—22no—
528C4⋊C4—21no—
529C4⋊C4—21no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—24no—
533C4⋊C4—24no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—42no—
537C4⋊C4—42no—
538C4⋊C4—48no—
539C4⋊C4—44no—
540C4⋊C4—44no—
541C4⋊C4—44no—
542C4⋊C4—42no—
543C4⋊C4—42no—
544C4⋊C4—81no—
545C4⋊C4—81no—
546C4⋊C4—82no—
547C4⋊C4—82no—
548C4⋊C4—84no—
549C4⋊C4—84no—
550C4⋊C4C23×C412yes—
551C4⋊C4C23×C412yes—
552C4⋊C4C23×C414yes—
553C22⋊C4—24no—
554C22⋊C4—28no—
555C22⋊C4—28no—
556C22⋊C4—28no—
557C22⋊C4—24no—
558C22⋊C4—24no—
559C22⋊C4—48no—
560C22⋊C4—44no—
561C22⋊C4—84no—
562C22⋊C4—84no—
563C22⋊C4—84no—
564C22⋊C4—84no—
565C42—24no—
566C42—24no—
567C42—24no—
568C42—24no—
569C42—24no—
570C42—48no—
571C42—44no—
572C42—84no—
573C42—84no—
574C42C4×D414yes—
575C42C4×D414yes—
576C42C23×C412yes—
577C42C23×C412yes—
578C42C2×#4112yes—
579C42C2×#4112yes—
580C23—21no—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—22no—
585C23—22no—
586C23—22no—
587C23—24no—
588C23—41no—
589C23—41no—
590C23—41no—
591C23—41no—
592C23—42no—
593C23—42no—
594C23—48no—
595C23—42no—
596C23—42no—
597C23—42no—
598C23—42no—
599C23—84no—
600C23—84no—
601C23—84no—
602C23—84no—
603C23—84no—
604C23—84no—
605C23C2×C4×D412yes—
606C23#54612yes—
607C23#54812yes—
608C23C23×D411yescharacteristic
609Q8—22no—
610Q8—22no—
611Q8—22no—
612Q8C2×#11714yes—
613D4—216no—
614D4—24no—
615D4—22no—
616D4—24no—
617D4—22no—
618D4—22no—
619D4—48no—
620D4—42no—
621D4—42no—
622D4C2×#11714yes—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—22no—
628C2×C4—22no—
629C2×C4—22no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—216no—
633C2×C4—28no—
634C2×C4—24no—
635C2×C4—24no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—24no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—44no—
644C2×C4—48no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—42no—
648C2×C4—41no—
649C2×C4—42no—
650C2×C4—41no—
651C2×C4—48no—
652C2×C4—416no—
653C2×C4—42no—
654C2×C4—44no—
655C2×C4—42no—
656C2×C4—44no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—44no—
661C2×C4—42no—
662C2×C4—88no—
663C2×C4—84no—
664C2×C4—168no—
665C2×C4—164no—
666C2×C4C2×#11714yes—
667C2×C4C2×C4×D412yes—
668C2×C4C2×C4×D412yes—
669C2×C4C2×C4×D412yes—
670C2×C4C2×C4×D412yes—
671C2×C4C2×C4×D412yes—
672C2×C4#52014yes—
673C2×C4#54612yes—
674C2×C4#54812yes—
675C2×C4#55214yes—
676C2×C4#55314yes—
677C2×C4#57612yes—
678C2×C4#57712yes—
679C2×C4C24×C411yescharacteristic
680C2×C4C22×#4111yescharacteristic
681C2×C4C22×#4111yescharacteristic
682C2×C4C22×#4111yescharacteristic
683C2×C4C2×H(5,𝔽2)11yescharacteristic
684C2×C4C2×2−1+411yescharacteristic
685C8—24no—
686C8—24no—
687C8—42no—
688C8—42no—
689C22—22no—
690C22—22no—
691C22—22no—
692C22—22no—
693C22—22no—
694C22—22no—
695C22—24no—
696C22—42no—
697C22—42no—
698C22—42no—
699C22—42no—
700C22—42no—
701C22—42no—
702C22—44no—
703C22—44no—
704C22—44no—
705C22—816no—
706C22—82no—
707C22—82no—
708C22—82no—
709C22—82no—
710C22#235214yes—
711C22C22×C4×D411yescharacteristic
712C22C2×#54611yescharacteristic
713C22C2×#54811yescharacteristic
714C22C2×#57611yescharacteristic
715C22C2×#57711yescharacteristic
716C22#358511yescharacteristic
717C22#358611yescharacteristic
718C4—22no—
719C4—22no—
720C4—24no—
721C4—22no—
722C4—42no—
723C4—44no—
724C4—44no—
725C4—42no—
726C4—44no—
727C4—84no—
728C4—82no—
729C4—82no—
730C4#235214yes—
731C4#294614yes—
732C4C22×#11711yescharacteristic
733C4C2×#52011yescharacteristic
734C4C2×#55211yescharacteristic
735C4C2×#55311yescharacteristic
736C2—24no—
737C2—44no—
738C2—84no—
739C2C2×#235211yescharacteristic
740C2C2×#294611yescharacteristic
741C2#6017011yescharacteristic
742C2#6120511yescharacteristic
743C2#6120911yescharacteristic
744C2#6134511yescharacteristic
745C2#6134711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutatorC2×C4C24×C4
Frattini, cosocleC22×C4C25
prime radicalC22×AGL(1,ℤ/8)C22
LCSG ▷ C2×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ #2285 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34186C2semidirect
3. #34183C2semidirect
4. #22775C2semidirect
5. #22774C2semidirect
6. #22767C2semidirect
7. #22766C2semidirect
8. #22759C2semidirect
9. #22758C2semidirect
10. #21091C2semidirect
11. #21035C2semidirect
13. #20764C2semidirect
14. #20645C2semidirect
15. C2×#1802C2semidirect
16. #20441C2semidirect
17. #20415C2semidirect
22. C4×AGL(1,ℤ/8)C4semidirect
41. Q8×C4⋊C4C22semidirect
42. Q8×C4⋊C4C22semidirect
45. D4×C4⋊C4C22semidirect
46. D4×C4⋊C4C22semidirect
62. #1921C22semidirect
63. #1920C22semidirect
64. #1919C22semidirect
65. #1918C22semidirect
70. #1836C22semidirect
71. #1834C22semidirect
72. #1834C22semidirect
73. #1805C22semidirect
74. #1804C22semidirect
75. #1803C22semidirect
76. #1803C22semidirect
80. #1802C22semidirect
81. #1802C22semidirect
82. #1771C22semidirect
83. #1770C22semidirect
84. C8×C4⋊C4C22semidirect
85. #1763C22semidirect
86. #1762C22semidirect
87. C4×#103C22semidirect
88. C4×#102C22semidirect
118. C2×C4×D4C2×C4semidirect
141. #442C2×C4semidirect
142. #440C2×C4semidirect
143. C4×SD16C2×C4semidirect
144. C4×D8C2×C4semidirect
145. #428C2×C4semidirect
152. #418C2×C4semidirect
167. C4×M16C2×C4semidirect
422. #41#117semidirect

Maximal subgroups

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

subgroupindex
C2×C4×AGL(1,ℤ/8)2
#341862
#341832
#227752
#227742
#227672
#227662
#227592
#227582
#210912
#210352
#209322
#207642
#206452
C2×#18022
#204412
#204152