Finite Group Databasebeta

← #6445567

Subgroups — #6445567

Order 512.

2464 conjugacy classes of subgroups.

The subgroup lattice has 779 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3077C211yesmaximal, characteristic, complemented
2C2×C4×AGL(1,ℤ/8)C211yesmaximal, characteristic
3#34947C211yesmaximal, characteristic, complemented
4C2×#2349C211yesmaximal, characteristic, complemented
5#24834C212yesmaximal, complemented
6#24833C212yesmaximal, complemented
7#24830C212yesmaximal, complemented
8#24829C212yesmaximal, complemented
9#24822C214yesmaximal, complemented
10#24820C214yesmaximal, complemented
11#23657C212yesmaximal, complemented
12#23617C212yesmaximal, complemented
13#21323C211yesmaximal, characteristic, complemented
14#21146C211yesmaximal, characteristic, complemented
15#20925C212yesmaximal
16#20649C211yesmaximal, characteristic, complemented
17#20646C212yesmaximal, complemented
18C22×AGL(1,ℤ/8)C2211yescharacteristic
19C2×#533C2211yescharacteristic
20C2×C4×#41C2211yescharacteristic
21C22×C4×D4C2212yes—
22C22×C4×D4C2211yescharacteristic
23#3077—28no—
24C2×#478C2214yes—
25C2×#476C2212yes—
26C2×#474C2212yes—
27C4×AGL(1,ℤ/8)—28no—
28C2×#442C2212yes—
29C2×#440C2212yes—
30C2×C4×SD16C2212yes—
31C2×C4×D8C2212yes—
32C2×#428C2212yes—
33C2×#428C2211yescharacteristic
34C2×#423C2211yescharacteristic
35C2×#423C2212yes—
36C2×#417C2211yescharacteristic
37C2×#417C2212yes—
38C2×#418C2212yes—
39C2×#418C2211yescharacteristic
40C2×C4×M16C2211yescharacteristic
41#2568C2211yescharacteristic, complemented
42#2567C2211yescharacteristic, complemented
43#2566C2212yescomplemented
44#2565C2212yescomplemented
45#2564—21no—
46#2564—21no—
47#2563C2211yescharacteristic, complemented
48#2542C2211yescharacteristic, complemented
49#2417—22no—
50#2396—21no—
51#2396—21no—
52#2349—21no—
53#2349—21no—
54#2349—22no—
55#2349C2212yes—
56#2349C2212yes—
57#2349C2214yes—
58C4×C22⋊Q8—22no—
59#2297C2212yes—
60C2×#389C2212yes—
61C2×#385—22no—
62#2285C2212yes—
63C2×#382C2211yescharacteristic
64C2×#380—21no—
65C2×C4×C4⋊C4C2211yescharacteristic
66C22×#95—21no—
67#2085C2214yescomplemented
68#2085C2214yescomplemented
69#2084C2214yescomplemented
70#2083C2214yescomplemented
71#2068C2214yescomplemented
72#2067C2214yescomplemented
73#2066C2214yescomplemented
74#2065C2214yescomplemented
75#1993C2212yescomplemented
76#1993C2212yescomplemented
77#1991C2214yescomplemented
78#1940C2212yescomplemented
79#1940C2212yescomplemented
80#1939C2214yescomplemented
81#1879C2214yes—
82#1879C2214yes—
83#1877C2214yes—
84#1877C2214yes—
85#1805C2212yescomplemented
86#1805C2212yescomplemented
87#1804C2214yes—
88#1804C2214yes—
89#1804C2212yescomplemented
90#1804C2212yescomplemented
91#1802C2214yes—
92#1802C2214yes—
93#1736C2212yes—
94#1736C2212yes—
95#1736C2212yes—
96#1728C2212yes—
97C22×#41C2311yescharacteristic
98C23×D4C2311yescharacteristic
99C24×C4—21no—
100C24×C4—22no—
101C2×AGL(1,ℤ/8)—24no—
102C2×AGL(1,ℤ/8)—24no—
103C2×AGL(1,ℤ/8)Q818yescomplemented
104C22×SD16C2312yes—
105C22×D8C2312yes—
106C22×M16C2311yescharacteristic
107C22×M16C2312yes—
108C22×M16C2311yescharacteristic
109#533—24no—
110#533—24no—
111C2×C4⋊Q8C2311yescharacteristic
112C2×C4⋊Q8C2311yescharacteristic
113C2×#125C2312yes—
114C2×C22⋊Q8—21no—
115C2×C22⋊Q8—21no—
116C2×C22⋊Q8—22no—
117C4×#41—24no—
118C4×#41—24no—
119C2×C4×Q8—21no—
120C2×C4×Q8—21no—
121C2×C4×Q8C2311yescharacteristic
122C2×C4×Q8C2311yescharacteristic
123C2×C4×D4—21no—
124C2×C4×D4—21no—
125C2×C4×D4—28no—
126C2×C4×D4—21no—
127C2×C4×D4—21no—
128C2×C4×D4—22no—
129C2×C4×D4—22no—
130C2×C4×D4—24no—
131C2×C4×D4—44no—
132C2×C4×D4D418yes—
133C2×C4×D4C2311yescharacteristic
134C2×C4×D4C2311yescharacteristic
135C2×C4×D4C2314yes—
136C2×C4×D4C2314yes—
137C2×C4×D4C2312yes—
138C2×C4×D4C2312yes—
139C2×#117—21no—
140C2×#117C2311yescharacteristic
141C2×#117C2312yes—
142C22×C4⋊C4—22no—
143C22×C4⋊C4D412yes—
144C22×C4⋊C4C2312yes—
145C22×C4⋊C4C2311yescharacteristic
146C22×C22⋊C4—21no—
147C22×C22⋊C4—22no—
148C22×C42—21no—
149C22×C42C2312yes—
150C22×C42C2311yescharacteristic
151#478—216no—
152#476—28no—
153#474—28no—
154#442—28no—
155#440—28no—
156C4×SD16—28no—
157C4×D8—28no—
158#428—28no—
159#428—24no—
160C2×#107C2314yes—
161C2×#107C2312yes—
162C2×#106C2314yes—
163C2×#106C2312yes—
164#423—24no—
165#423—44no—
166C2×C4⋊C8C2312yes—
167C2×C4⋊C8C2312yes—
168C2×C4⋊C8C2314yes—
169C2×C4⋊C8C2314yes—
170#418—28no—
171#418—24no—
172#417—24no—
173#417—44no—
174C2×#103C2312yes—
175C2×#103C2314yes—
176C2×#102C2314yes—
177C2×#102C2314yes—
178C2×#102C2312yes—
179C2×#102C2312yes—
180C2×#102C2312yes—
181C2×#102C2314yes—
182C4×M16—24no—
183C2×#97C2312yes—
184C2×C4×C8C2312yes—
185#400—21no—
186#400—21no—
187#399—21no—
188#399—21no—
189#398—22no—
190#398—22no—
191#396—22no—
192#396—22no—
193#395—21no—
194#395—21no—
195#393—21no—
196#393—21no—
197#391—22no—
198#391C2312yes—
199#391C2312yes—
200#390C2312yes—
201#390C2312yes—
202#389—22no—
203#389—22no—
204#389—22no—
205#389C2314yes—
206#389C2314yes—
207#387—22no—
208#387—22no—
209#386—22no—
210#386—22no—
211#385—24no—
212#385—24no—
213#385—24no—
214#385—24no—
215#385—22no—
216#385—22no—
217#384C2312yes—
218#384C2312yes—
219#382—21no—
220#382—21no—
221#382C2312yes—
222#382C2312yes—
223#382C2312yes—
224#382C2312yes—
225#380—22no—
226#380—22no—
227#380—22no—
228#380—24no—
229#380—22no—
230#380—22no—
231C4×C4⋊C4—22no—
232C4×C4⋊C4—22no—
233C4×C4⋊C4D411yescharacteristic
234C4×C4⋊C4D411yescharacteristic
235C4×C4⋊C4D412yes—
236C4×C4⋊C4C2311yescharacteristic
237C4×C4⋊C4C2312yes—
238C4×C4⋊C4C2311yescharacteristic
239C4×C22⋊C4—22no—
240C4×C22⋊C4—22no—
241C2×#95—21no—
242C2×#95—22no—
243C2×#95—21no—
244C2×#95—24no—
245C2×#95—22no—
246C2×#95—22no—
247C2×#95D411yescharacteristic
248C2×#95D411yescharacteristic
249#340C2314yes—
250#340C2314yes—
251#340C2314yes—
252#340C2314yes—
253#340C2314yes—
254#340C2314yes—
255#336C2314yes—
256#336C2314yes—
257C25—21no—
258C2×#41—22no—
259C2×#41—22no—
260C2×#41—22no—
261C2×#41—22no—
262C2×#41—22no—
263C2×#41C2×Q814yes—
264C22×Q8—21no—
265C22×Q8—21no—
266C22×Q8C2411yescharacteristic
267C22×D4—21no—
268C22×D4—21no—
269C22×D4—22no—
270C22×D4—22no—
271C22×D4—22no—
272C22×D4C2×D414yes—
273C22×D4C2×Q814yes—
274C22×D4#4114yes—
275C22×D4C2411yescharacteristic
276C22×D4C2412yes—
277C23×C4—21no—
278C23×C4—21no—
279C23×C4—28no—
280C23×C4—22no—
281C23×C4—22no—
282C23×C4—22no—
283C23×C4—21no—
284C23×C4—24no—
285C23×C4—24no—
286C23×C4—21no—
287C23×C4—48no—
288C23×C4—48no—
289C23×C4—84no—
290C23×C4—84no—
291C23×C4C2×D412yes—
292C23×C4C2×D412yes—
293C23×C4C2×D411yescharacteristic
294C23×C4C2×D411yescharacteristic
295C23×C4C2411yescharacteristic
296AGL(1,ℤ/8)—232no—
297C2×SD16—24no—
298C2×SD16—24no—
299C2×SD16C2×Q818yes—
300C2×D8—24no—
301C2×D8—24no—
302C2×D8C2×Q818yes—
303C2×M16—22no—
304C2×M16—22no—
305C2×M16—22no—
306C2×M16—24no—
307C2×M16—24no—
308C2×M16—22no—
309C2×M16—22no—
310C2×M16—24no—
311C2×M16C2×Q814yes—
312C22×C8C2414yes—
313C22×C8C2412yes—
314C22×C8C2412yes—
315C4⋊Q8—22no—
316C4⋊Q8—22no—
317C4⋊Q8—22no—
318C4⋊Q8—22no—
319#125—24no—
320#125—24no—
321C22⋊Q8—48no—
322C22⋊Q8—44no—
323C22⋊Q8—44no—
324C4×Q8—22no—
325C4×Q8—22no—
326C4×Q8—22no—
327C4×Q8—22no—
328C4×Q8—44no—
329C4×Q8—44no—
330C4×D4—28no—
331C4×D4—28no—
332C4×D4—28no—
333C4×D4—28no—
334C4×D4—22no—
335C4×D4—22no—
336C4×D4—24no—
337C4×D4—24no—
338C4×D4—22no—
339C4×D4—22no—
340C4×D4—44no—
341C4×D4—44no—
342C4×D4—48no—
343C4×D4—48no—
344C4×D4—44no—
345C4×D4—44no—
346C4×D4C2×D418yes—
347C4×D4C2×D418yes—
348#117—22no—
349#117—24no—
350#117—22no—
351#117—24no—
352#117—44no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—24no—
356C2×C4⋊C4—24no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—21no—
359C2×C4⋊C4—21no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—21no—
363C2×C4⋊C4—21no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—24no—
367C2×C4⋊C4—24no—
368C2×C4⋊C4—22no—
369C2×C4⋊C4—22no—
370C2×C4⋊C4—44no—
371C2×C4⋊C4—84no—
372C2×C4⋊C4C2×D412yes—
373C2×C4⋊C4C2×D412yes—
374C2×C4⋊C4C2×D414yes—
375C2×C4⋊C4C2×D412yes—
376C2×C4⋊C4C2×D412yes—
377C2×C4⋊C4C2414yes—
378C2×C4⋊C4C2411yescharacteristic
379C2×C4⋊C4C2411yescharacteristic
380C2×C4⋊C4C2412yes—
381C2×C4⋊C4C2412yes—
382C2×C4⋊C4C2412yes—
383C2×C22⋊C4—28no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—21no—
387C2×C22⋊C4—22no—
388C2×C22⋊C4—24no—
389C2×C22⋊C4—24no—
390C2×C22⋊C4—21no—
391C2×C22⋊C4—21no—
392C2×C22⋊C4—22no—
393C2×C22⋊C4—22no—
394C2×C22⋊C4—22no—
395C2×C22⋊C4—22no—
396C2×C22⋊C4—48no—
397C2×C42—24no—
398C2×C42—24no—
399C2×C42—21no—
400C2×C42—22no—
401C2×C42—21no—
402C2×C42—21no—
403C2×C42—44no—
404C2×C42C2×D412yes—
405C2×C42C2×D412yes—
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D414yes—
409C2×C42#4114yes—
410C2×C42C2412yes—
411C2×C42C2412yes—
412C2×C42C2411yescharacteristic
413C2×C42C2411yescharacteristic
414#107—24no—
415#107—28no—
416#106—24no—
417#106—28no—
418C4⋊C8—24no—
419C4⋊C8—24no—
420C4⋊C8—44no—
421C4⋊C8—44no—
422#103—24no—
423#103—44no—
424#102—24no—
425#102—24no—
426#102—28no—
427#102—28no—
428#102—24no—
429#102—44no—
430#97—24no—
431C4×C8—24no—
432#95—22no—
433#95—22no—
434#95—24no—
435#95—24no—
436#95—22no—
437#95—22no—
438#95—22no—
439#95—22no—
440#95—22no—
441#95—22no—
442#95—22no—
443#95—22no—
444#95—22no—
445#95—22no—
446#95C2×D412yes—
447#95C2×D411yescharacteristic
448#95C2×D411yescharacteristic
449#95C2×D412yes—
450#95C2×D411yescharacteristic
451#95C2×D411yescharacteristic
452C24—24no—
453C24—24no—
454C24—24no—
455C24—22no—
456C24—21no—
457C24—44no—
458C24—44no—
459C24C22×D411yescharacteristic
460#41—28no—
461#41—28no—
462#41—44no—
463#41—44no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8—21no—
469C2×Q8—44no—
470C2×Q8—42no—
471C2×Q8—42no—
472C2×Q8—82no—
473C2×Q8C22×Q812yes—
474C2×D4—24no—
475C2×D4—24no—
476C2×D4—28no—
477C2×D4—24no—
478C2×D4—24no—
479C2×D4—28no—
480C2×D4—28no—
481C2×D4—21no—
482C2×D4—22no—
483C2×D4—21no—
484C2×D4—21no—
485C2×D4—22no—
486C2×D4—21no—
487C2×D4—22no—
488C2×D4—21no—
489C2×D4—42no—
490C2×D4—42no—
491C2×D4C22⋊Q8116yescomplemented
492C2×D4C22×D414yes—
493C2×D4C22×Q812yes—
494C2×D4C22×Q814yes—
495C2×D4C2×#4114yes—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—21no—
499C22×C4—22no—
500C22×C4—24no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—28no—
504C22×C4—28no—
505C22×C4—24no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—48no—
516C22×C4—48no—
517C22×C4—44no—
518C22×C4—48no—
519C22×C4—44no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—48no—
528C22×C4—82no—
529C22×C4—84no—
530C22×C4—84no—
531C22×C4—84no—
532C22×C4—84no—
533C22×C4—816no—
534C22×C4—832no—
535C22×C4#12114yes—
536C22×C4#12114yes—
537C22×C4C22×D412yes—
538C22×C4C22×D412yes—
539C22×C4C22×D412yes—
540C22×C4C22×D411yescharacteristic
541C22×C4C22×D411yescharacteristic
542C22×C4C22×D411yescharacteristic
543C22×C4C22×D411yescharacteristic
544C22×C4C22×D412yes—
545C22×C4C22×D411yescharacteristic
546C22×C4C22×D412yes—
547C22×C4C22×Q812yes—
548C22×C4C2×#4112yes—
549C22×C4C2×#4112yes—
550C22×C4H(5,𝔽2)12yes—
551C22×C42−1+412yes—
552C22×C4C2511yescharacteristic
553SD16—216no—
554D8—216no—
555M16—28no—
556M16—44no—
557M16—48no—
558C2×C8—22no—
559C2×C8—22no—
560C2×C8—22no—
561C2×C8—24no—
562C2×C8—24no—
563C2×C8—22no—
564C2×C8—24no—
565C2×C8—22no—
566C2×C8C22×Q814yes—
567C4⋊C4—24no—
568C4⋊C4—24no—
569C4⋊C4—24no—
570C4⋊C4—22no—
571C4⋊C4—21no—
572C4⋊C4—22no—
573C4⋊C4—21no—
574C4⋊C4—22no—
575C4⋊C4—24no—
576C4⋊C4—21no—
577C4⋊C4—21no—
578C4⋊C4—22no—
579C4⋊C4—22no—
580C4⋊C4—24no—
581C4⋊C4—42no—
582C4⋊C4—42no—
583C4⋊C4—44no—
584C4⋊C4—42no—
585C4⋊C4—42no—
586C4⋊C4—44no—
587C4⋊C4—44no—
588C4⋊C4—42no—
589C4⋊C4—42no—
590C4⋊C4—44no—
591C4⋊C4—44no—
592C4⋊C4—82no—
593C4⋊C4—82no—
594C4⋊C4—84no—
595C4⋊C4—84no—
596C4⋊C4C22×D414yes—
597C22⋊C4—28no—
598C22⋊C4—28no—
599C22⋊C4—48no—
600C22⋊C4—48no—
601C22⋊C4—44no—
602C22⋊C4—42no—
603C22⋊C4—44no—
604C22⋊C4—42no—
605C22⋊C4—42no—
606C22⋊C4—44no—
607C22⋊C4—82no—
608C22⋊C4—82no—
609C42—24no—
610C42—24no—
611C42—22no—
612C42—22no—
613C42—22no—
614C42—22no—
615C42—42no—
616C42—42no—
617C42—42no—
618C42—44no—
619C42#12114yes—
620C42#12114yes—
621C42C22×D412yes—
622C42C22×D412yes—
623C42C2×#4112yes—
624C42C2×#4112yes—
625C23—22no—
626C23—22no—
627C23—24no—
628C23—216no—
629C23—24no—
630C23—24no—
631C23—22no—
632C23—48no—
633C23—416no—
634C23—416no—
635C23—48no—
636C23—44no—
637C23—44no—
638C23—42no—
639C23—41no—
640C23—41no—
641C23—42no—
642C23C2×#12112yes—
643C23#54612yes—
644C23D4×Q812yes—
645C23C23×D411yescharacteristic
646Q8—22no—
647Q8—22no—
648Q8—41no—
649Q8—41no—
650Q8—84no—
651Q8—84no—
652D4—22no—
653D4—216no—
654D4—24no—
655D4—24no—
656D4—24no—
657D4—22no—
658D4—48no—
659D4—41no—
660D4—41no—
661D4C2×C22⋊Q818yes—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—24no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—22no—
679C2×C4—44no—
680C2×C4—44no—
681C2×C4—48no—
682C2×C4—48no—
683C2×C4—44no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—48no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—44no—
690C2×C4—42no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—44no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—44no—
700C2×C4—88no—
701C2×C4—88no—
702C2×C4—816no—
703C2×C4—84no—
704C2×C4—84no—
705C2×C4—84no—
706C2×C4—816no—
707C2×C4—88no—
708C2×C4C2×#12112yes—
709C2×C4C2×#12112yes—
710C2×C4C2×#12112yes—
711C2×C4C2×#12112yes—
712C2×C4C2×#12112yes—
713C2×C4C2×C22⋊Q814yes—
714C2×C4#53714yes—
715C2×C4#54612yes—
716C2×C4D4×Q812yes—
717C2×C4#55214yes—
718C2×C4#55414yes—
719C2×C4#57514yes—
720C2×C4C23×D411yescharacteristic
721C2×C4C23×Q811yescharacteristic
722C2×C4C22×#4111yescharacteristic
723C2×C4C22×#4111yescharacteristic
724C2×C4C2×H(5,𝔽2)11yescharacteristic
725C2×C4C2×2−1+411yescharacteristic
726C8—24no—
727C8—42no—
728C8—44no—
729C22—22no—
730C22—24no—
731C22—24no—
732C22—22no—
733C22—28no—
734C22—432no—
735C22—44no—
736C22—48no—
737C22—48no—
738C22—44no—
739C22—42no—
740C22—44no—
741C22—81no—
742C22—82no—
743C22—81no—
744C22#241714yes—
745C22C22×#12111yescharacteristic
746C22C2×#54611yescharacteristic
747C22C2×D4×Q811yescharacteristic
748C22C2×#57512yes—
749C22#358512yes—
750C4—22no—
751C4—22no—
752C4—24no—
753C4—22no—
754C4—22no—
755C4—44no—
756C4—42no—
757C4—42no—
758C4—42no—
759C4—42no—
760C4—81no—
761C4—82no—
762C4—84no—
763C4—81no—
764C4—82no—
765C4#241714yes—
766C4C22×C22⋊Q811yescharacteristic
767C4C2×#53711yescharacteristic
768C4C2×#55211yescharacteristic
769C4C2×#55411yescharacteristic
770C2—24no—
771C2—48no—
772C2—82no—
773C2C2×#241711yescharacteristic
774C2#6041511yescharacteristic
775C2#6042311yescharacteristic
776C2#6115612yes—
777C2#6136712yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×AGL(1,ℤ/8)C22
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×#3077C2semidirect
3. #34947C2semidirect
4. C2×#2349C2semidirect
5. #24834C2semidirect
6. #24833C2semidirect
7. #24830C2semidirect
8. #24829C2semidirect
9. #24822C2semidirect
10. #24820C2semidirect
11. #23657C2semidirect
12. #23617C2semidirect
13. #21323C2semidirect
14. #21146C2semidirect
16. #20649C2semidirect
17. #20646C2semidirect
41. #2568C22semidirect
42. #2567C22semidirect
43. #2566C22semidirect
44. #2565C22semidirect
47. #2563C22semidirect
48. #2542C22semidirect
67. #2085C22semidirect
68. #2085C22semidirect
69. #2084C22semidirect
70. #2083C22semidirect
71. #2068C22semidirect
72. #2067C22semidirect
73. #2066C22semidirect
74. #2065C22semidirect
75. #1993C22semidirect
76. #1993C22semidirect
77. #1991C22semidirect
78. #1940C22semidirect
79. #1940C22semidirect
80. #1939C22semidirect
85. #1805C22semidirect
86. #1805C22semidirect
89. #1804C22semidirect
90. #1804C22semidirect
103. C2×AGL(1,ℤ/8)Q8semidirect
491. C2×D4C22⋊Q8semidirect

Maximal subgroups

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

subgroupindex
C2×#30772
C2×C4×AGL(1,ℤ/8)2
#349472
C2×#23492
#248342
#248332
#248302
#248292
#248222
#248202
#236572
#236172
#213232
#211462
#209252
#206492
#206462