Finite Group Databasebeta

← #6464345

Subgroups — #6464345

Order 512.

2180 conjugacy classes of subgroups.

The subgroup lattice has 804 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×#532C211yesmaximal, characteristic, complemented
2C4×#532C211yesmaximal, characteristic, complemented
3#29412C214yesmaximal, complemented
4#29389C212yesmaximal, complemented
5#29365C212yesmaximal, complemented
6#29276C211yesmaximal, characteristic, complemented
7#29258C211yesmaximal, characteristic, complemented
8#28201C211yesmaximal, characteristic, complemented
9#28156C211yesmaximal, characteristic, complemented
10#27625C212yesmaximal, complemented
11#24150C212yesmaximal, complemented
12#23760C212yesmaximal, complemented
13#23573C212yesmaximal, complemented
14#21613C212yesmaximal, complemented
15#21503C212yesmaximal, complemented
16#21122C214yesmaximal, complemented
17#20778C211yesmaximal, characteristic, complemented
18C2×#532C2211yescharacteristic
19C2×#532C2211yescharacteristic
20C2×C4×#41—21no—
21C2×C4×#41—21no—
22C2×#474C2212yes—
23C2×#459C2212yes—
24C2×#442C2214yes—
25C4×C4⋊Q8C2211yescharacteristic
26C4×C4⋊Q8C2211yescharacteristic
27C4×C4⋊Q8C2211yescharacteristic
28C4×C4⋊Q8C2211yescharacteristic
29C4×#127C2211yescharacteristic
30C4×#127C2211yescharacteristic
31C4×#127C2211yescharacteristic
32C4×#127C2211yescharacteristic
33C4×#124—21no—
34C4×#124—21no—
35C4×#124—21no—
36C4×#124—21no—
37C4×#121—21no—
38C4×#121—21no—
39C4×#121—21no—
40C4×#121—21no—
41C4×#121C2212yes—
42C4×#121C2212yes—
43C4×#121C2212yes—
44C4×#121C2212yes—
45#2297—21no—
46#2297—21no—
47#2293—21no—
48#2293—21no—
49#2293C2212yes—
50#2293C2212yes—
51#2285C2211yescharacteristic
52#2285C2211yescharacteristic
53C42×D4—21no—
54C42×D4—21no—
55C42×D4C2212yes—
56C42×D4C2212yes—
57C2×C43C2211yescharacteristic
58#2100C2212yes—
59#2094C2212yes—
60#2083C2212yes—
61#2077C2214yes—
62#2071C2212yes—
63#2058C2212yes—
64#2041C2212yes—
65#2034C2214yes—
66#2033C2214yes—
67#2023C2212yes—
68#2011C2212yes—
69#1999C2214yes—
70#1988C2212yes—
71#1982C2212yes—
72#1948C2212yes—
73#1948C2212yes—
74#1926C2214yes—
75#1926C2214yes—
76#1925C2214yes—
77#1921C2214yes—
78#1920C2214yes—
79#1919C2214yes—
80#1879C2214yes—
81#1879C2214yes—
82#1879C2214yes—
83#1864C2214yes—
84#1864C2214yes—
85#1862C2214yes—
86#1839C2212yes—
87#1831C2211yescharacteristic
88#1831C2211yescharacteristic
89#1817C2212yes—
90#1802C2212yes—
91#1802C2212yes—
92#1797C2212yes—
93#1776C2214yes—
94#1767C2212yes—
95#1762C2214yes—
96#1762C2214yes—
97#1749C2212yes—
98#1745C2212yes—
99C22×#41—21no—
100C22×#41—21no—
101C22×D8C2314yes—
102#532—24no—
103#532—24no—
104#532—28no—
105C2×C4⋊Q8C2311yescharacteristic
106C2×C4⋊Q8C2311yescharacteristic
107C2×#127C2311yescharacteristic
108C2×#127C2311yescharacteristic
109C2×#124—21no—
110C2×#124—21no—
111C2×#121—21no—
112C2×#121—21no—
113C2×#121C2312yes—
114C2×#121C2312yes—
115C4×#41—48no—
116C4×#41—48no—
117C2×C4×Q8—21no—
118C2×C4×Q8—21no—
119C2×C4×Q8—21no—
120C2×C4×Q8—21no—
121C2×C4×D4—22no—
122C2×C4×D4—22no—
123C2×C4×D4—22no—
124C2×C4×D4—22no—
125C2×C4×D4—21no—
126C2×C4×D4—21no—
127C2×C4×D4—21no—
128C2×C4×D4—21no—
129C2×C4×D4—21no—
130C2×C4×D4—21no—
131C2×C4×D4—21no—
132C2×C4×D4—21no—
133C2×C4×D4—21no—
134C2×C4×D4—21no—
135C2×C4×D4C2312yes—
136C2×C4×D4C2312yes—
137C2×C4×D4C2312yes—
138C2×C4×D4C2312yes—
139C2×C4×D4C2312yes—
140C2×C4×D4C2312yes—
141C2×#117—21no—
142C2×#117—21no—
143C2×#117—22no—
144C2×#117—22no—
145C22×C42—22no—
146C22×C42—22no—
147C22×C42D411yescharacteristic
148C22×C42D411yescharacteristic
149C22×C42D411yescharacteristic
150C22×C42D411yescharacteristic
151C22×C42C2311yescharacteristic
152C22×C42C2311yescharacteristic
153C22×C42C2311yescharacteristic
154#474—28no—
155#459—28no—
156#442—216no—
157C2×#107C2314yes—
158C2×#106C2314yes—
159C2×#106C2314yes—
160C2×C4⋊C8C2312yes—
161C2×C4⋊C8C2312yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×C22⋊C8C2314yes—
169C2×#97C2314yes—
170#391—21no—
171#391—21no—
172#391—21no—
173#391—21no—
174#390—21no—
175#390—21no—
176#390—21no—
177#390—21no—
178#390—21no—
179#390—21no—
180#390—21no—
181#390—21no—
182#390C2312yes—
183#390C2312yes—
184#390C2312yes—
185#390C2312yes—
186#389—21no—
187#389—21no—
188#389—21no—
189#389—21no—
190#389C2312yes—
191#389C2312yes—
192#389C2312yes—
193#389C2312yes—
194#388—22no—
195#388—22no—
196#388—22no—
197#388—22no—
198#388—22no—
199#388—22no—
200#388—22no—
201#388—22no—
202#386—22no—
203#386—22no—
204#386—22no—
205#386—22no—
206#384C2311yescharacteristic
207#384C2311yescharacteristic
208#384C2311yescharacteristic
209#384C2311yescharacteristic
210#382—21no—
211#382—21no—
212#380—21no—
213#380—21no—
214#380C2312yes—
215#380C2312yes—
216C4×C4⋊C4—21no—
217C4×C4⋊C4—21no—
218C4×C4⋊C4—21no—
219C4×C4⋊C4—21no—
220C4×C4⋊C4—21no—
221C4×C4⋊C4—21no—
222C4×C4⋊C4C2312yes—
223C4×C4⋊C4C2312yes—
224C4×C4⋊C4C2312yes—
225C4×C4⋊C4C2312yes—
226C4×C4⋊C4C2312yes—
227C4×C4⋊C4C2312yes—
228C4×C22⋊C4—22no—
229C4×C22⋊C4—22no—
230C4×C22⋊C4—22no—
231C4×C22⋊C4—22no—
232C4×C22⋊C4—22no—
233C4×C22⋊C4—22no—
234C4×C22⋊C4—22no—
235C4×C22⋊C4—22no—
236C4×C22⋊C4—22no—
237C4×C22⋊C4—22no—
238C4×C22⋊C4—22no—
239C4×C22⋊C4—22no—
240C43D411yescharacteristic
241C43D411yescharacteristic
242C43D411yescharacteristic
243C43D411yescharacteristic
244C43C2311yescharacteristic
245C43C2311yescharacteristic
246C43C2311yescharacteristic
247C43C2311yescharacteristic
248#340C2314yes—
249#340C2314yes—
250#340C2314yes—
251#340C2314yes—
252#340C2314yes—
253#340C2314yes—
254#336C2314yes—
255#336C2312yes—
256#336C2312yes—
257#336C2312yes—
258#336C2314yes—
259#336C2312yes—
260C2×#41—28no—
261C2×#41—28no—
262C2×#41—44no—
263C2×#41—44no—
264C2×#41—44no—
265C2×#41—44no—
266C22×Q8—21no—
267C22×Q8—21no—
268C22×D4—22no—
269C22×D4—22no—
270C22×D4—21no—
271C22×D4—21no—
272C22×D4—21no—
273C22×D4—21no—
274C22×D4C2412yes—
275C22×D4C2412yes—
276C23×C4—22no—
277C23×C4—22no—
278C23×C4—22no—
279C23×C4—22no—
280C23×C4—22no—
281C23×C4—22no—
282C23×C4C2×D411yescharacteristic
283C23×C4C2×D411yescharacteristic
284C23×C4C2×D411yescharacteristic
285C23×C4C2×D411yescharacteristic
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D411yescharacteristic
288C23×C4C2411yescharacteristic
289C2×D8—28no—
290C2×D8—28no—
291C2×D8—44no—
292C22×C8C2414yes—
293C22×C8C2414yes—
294C4⋊Q8—24no—
295C4⋊Q8—22no—
296C4⋊Q8#4114yescomplemented
297#127—24no—
298#127—22no—
299#127#4114yescomplemented
300#124—28no—
301#124—28no—
302#121—28no—
303#121—28no—
304#121—24no—
305#121—24no—
306#121—24no—
307#121—24no—
308C4×Q8—44no—
309C4×Q8—44no—
310C4×Q8—44no—
311C4×Q8—44no—
312C4×D4—28no—
313C4×D4—28no—
314C4×D4—24no—
315C4×D4—24no—
316C4×D4—24no—
317C4×D4—28no—
318C4×D4—24no—
319C4×D4—24no—
320C4×D4—42no—
321C4×D4—44no—
322C4×D4—42no—
323C4×D4—44no—
324C4×D4—44no—
325C4×D4—44no—
326C4×D4—44no—
327C4×D4—44no—
328C4×D4—44no—
329C4×D4—48no—
330C4×D4—48no—
331C4×D4—48no—
332C4×D4—48no—
333C4×D4—44no—
334C4×D4—44no—
335C4×D4#4118yescomplemented
336#117—48no—
337#117—48no—
338#117—44no—
339#117—44no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4C2412yes—
355C2×C4⋊C4C2412yes—
356C2×C4⋊C4C2412yes—
357C2×C4⋊C4C2412yes—
358C2×C4⋊C4C2412yes—
359C2×C4⋊C4C2412yes—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—22no—
378C2×C42—24no—
379C2×C42—24no—
380C2×C42—22no—
381C2×C42—22no—
382C2×C42—24no—
383C2×C42—22no—
384C2×C42—22no—
385C2×C42—22no—
386C2×C42—22no—
387C2×C42—22no—
388C2×C42—22no—
389C2×C42—42no—
390C2×C42—42no—
391C2×C42—42no—
392C2×C42—48no—
393C2×C42—48no—
394C2×C42C2×D411yescharacteristic
395C2×C42C2×D411yescharacteristic
396C2×C42C2×D411yescharacteristic
397C2×C42C2×D411yescharacteristic
398C2×C42C2×D411yescharacteristic
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D411yescharacteristic
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D411yescharacteristic
411C2×C42C2×D411yescharacteristic
412C2×C42C2×D411yescharacteristic
413C2×C42C2×D411yescharacteristic
414C2×C42C2×D411yescharacteristic
415C2×C42C2×D411yescharacteristic
416C2×C42C2411yescharacteristic
417C2×C42C2411yescharacteristic
418C2×C42C2411yescharacteristic
419C2×C42C2411yescharacteristic
420C2×C42C2411yescharacteristic
421C2×C42C2411yescharacteristic
422#107—28no—
423#106—28no—
424#106—44no—
425C4⋊C8—24no—
426C4⋊C8—24no—
427#102—28no—
428#102—28no—
429#102—28no—
430#102—28no—
431#102—44no—
432#102—44no—
433C22⋊C8—44no—
434#97—28no—
435#95—22no—
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#95—22no—
447C24—22no—
448C24—22no—
449C24C22×D411yescharacteristic
450#41—432no—
451#41—432no—
452C2×Q8—24no—
453C2×Q8—24no—
454C2×Q8—42no—
455C2×Q8—42no—
456C2×Q8—42no—
457C2×Q8—42no—
458C2×D4—24no—
459C2×D4—28no—
460C2×D4—28no—
461C2×D4—24no—
462C2×D4—24no—
463C2×D4—24no—
464C2×D4—22no—
465C2×D4—24no—
466C2×D4—22no—
467C2×D4—22no—
468C2×D4—22no—
469C2×D4—22no—
470C2×D4—24no—
471C2×D4—22no—
472C2×D4—42no—
473C2×D4—42no—
474C2×D4—42no—
475C2×D4—42no—
476C2×D4—44no—
477C2×D4—44no—
478C2×D4—44no—
479C2×D4—44no—
480C2×D4—42no—
481C2×D4—42no—
482C2×D4—42no—
483C2×D4—42no—
484C2×D4C2×#4114yes—
485C2×D4C2×#4114yes—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—28no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—28no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—21no—
502C22×C4—22no—
503C22×C4—21no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—41no—
510C22×C4—41no—
511C22×C4—41no—
512C22×C4—41no—
513C22×C4—41no—
514C22×C4—41no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—44no—
530C22×C4—44no—
531C22×C4AGL(1,ℤ/8)14yes—
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D411yescharacteristic
541C22×C4C22×D411yescharacteristic
542C22×C4C22×D411yescharacteristic
543C22×C4C22×D411yescharacteristic
544C22×C4C22×D411yescharacteristic
545C22×C4C2511yescharacteristic
546D8—416no—
547C2×C8—24no—
548C2×C8—24no—
549C2×C8—24no—
550C2×C8—24no—
551C2×C8—24no—
552C2×C8—24no—
553C4⋊C4—24no—
554C4⋊C4—24no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—24no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—24no—
562C4⋊C4—22no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—44no—
566C4⋊C4—44no—
567C4⋊C4—42no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—44no—
571C4⋊C4—44no—
572C4⋊C4—42no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4C2×#4114yes—
576C4⋊C4C2×#4114yes—
577C22⋊C4—28no—
578C22⋊C4—28no—
579C22⋊C4—28no—
580C22⋊C4—28no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C22⋊C4—44no—
591C22⋊C4—44no—
592C22⋊C4—44no—
593C22⋊C4—44no—
594C22⋊C4—44no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—22no—
608C42—22no—
609C42—22no—
610C42—21no—
611C42—21no—
612C42—22no—
613C42—22no—
614C42—22no—
615C42—41no—
616C42—41no—
617C42—41no—
618C42—41no—
619C42—41no—
620C42—41no—
621C42—44no—
622C42—44no—
623C42—44no—
624C42—44no—
625C42—44no—
626C42—44no—
627C42AGL(1,ℤ/8)14yes—
628C42C2×#4114yes—
629C42C2×#4112yes—
630C42C2×#4112yes—
631C23—21no—
632C23—21no—
633C23—21no—
634C23—21no—
635C23—21no—
636C23—21no—
637C23—24no—
638C23—24no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—42no—
647C23—42no—
648C23—42no—
649C23—42no—
650C23—42no—
651C23C2×AGL(1,ℤ/8)12yes—
652C23C23×D411yescharacteristic
653Q8—48no—
654Q8—48no—
655D4—24no—
656D4—28no—
657D4—24no—
658D4—48no—
659D4—48no—
660D4—48no—
661D4—416no—
662D4—416no—
663D4—48no—
664D4—42no—
665D4—42no—
666D4—44no—
667C2×C4—28no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—28no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—21no—
688C2×C4—24no—
689C2×C4—24no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—21no—
695C2×C4—21no—
696C2×C4—21no—
697C2×C4—21no—
698C2×C4—21no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—416no—
704C2×C4—416no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—88no—
724C2×C4—88no—
725C2×C4—88no—
726C2×C4—88no—
727C2×C4#52512yes—
728C2×C4#52512yes—
729C2×C4#52512yes—
730C2×C4#52512yes—
731C2×C4C2×AGL(1,ℤ/8)12yes—
732C2×C4C2×AGL(1,ℤ/8)12yes—
733C2×C4C2×AGL(1,ℤ/8)12yes—
734C2×C4C2×AGL(1,ℤ/8)12yes—
735C2×C4C2×AGL(1,ℤ/8)12yes—
736C2×C4#57512yes—
737C2×C4#57512yes—
738C2×C4C22×#4111yescharacteristic
739C2×C4C22×#4112yes—
740C2×C4C22×#4111yescharacteristic
741C2×C4#58512yes—
742C8—44no—
743C8—44no—
744C22—22no—
745C22—22no—
746C22—22no—
747C22—41no—
748C22—41no—
749C22—41no—
750C22—41no—
751C22—44no—
752C22—44no—
753C22—44no—
754C22—44no—
755C22—44no—
756C22—44no—
757C22—82no—
758C22—82no—
759C22—82no—
760C22—82no—
761C22—82no—
762C22—82no—
763C22—82no—
764C22—82no—
765C22C2×#52511yescharacteristic
766C22C2×#52511yescharacteristic
767C22#344911yescharacteristic
768C22C22×AGL(1,ℤ/8)11yescharacteristic
769C22C22×AGL(1,ℤ/8)11yescharacteristic
770C22C2×#57511yescharacteristic
771C22C2×#57511yescharacteristic
772C4—22no—
773C4—22no—
774C4—22no—
775C4—22no—
776C4—22no—
777C4—22no—
778C4—22no—
779C4—22no—
780C4—41no—
781C4—41no—
782C4—41no—
783C4—44no—
784C4—44no—
785C4—41no—
786C4—82no—
787C4—82no—
788C4—82no—
789C4—82no—
790C4#310914yes—
791C4#347512yes—
792C4#348012yes—
793C2—42no—
794C2—84no—
795C2—84no—
796C2#3490911yescharacteristic
797C2C2×#310911yescharacteristic
798C2#6055811yescharacteristic
799C2#6055911yescharacteristic
800C2#6056111yescharacteristic
801C2#6096211yescharacteristic
802C2#6096511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C43 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C4×#532C2semidirect
2. C4×#532C2semidirect
3. #29412C2semidirect
4. #29389C2semidirect
5. #29365C2semidirect
6. #29276C2semidirect
7. #29258C2semidirect
8. #28201C2semidirect
9. #28156C2semidirect
10. #27625C2semidirect
11. #24150C2semidirect
12. #23760C2semidirect
13. #23573C2semidirect
14. #21613C2semidirect
15. #21503C2semidirect
16. #21122C2semidirect
17. #20778C2semidirect
296. C4⋊Q8#41semidirect
299. #127#41semidirect
335. C4×D4#41semidirect

Maximal subgroups

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

subgroupindex
C4×#5322
#294122
#293892
#293652
#292762
#292582
#282012
#281562
#276252
#241502
#237602
#235732
#216132
#215032
#211222
#207782