Finite Group Databasebeta

← #6469616

Subgroups — #6469616

Order 512.

1996 conjugacy classes of subgroups.

The subgroup lattice has 791 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C4×#533C211yesmaximal, characteristic, complemented
2C4×#532C211yesmaximal, characteristic
3#29535C214yesmaximal, complemented
4#29287C211yesmaximal, characteristic, complemented
5#28284C211yesmaximal, characteristic, complemented
6#28279C211yesmaximal, characteristic, complemented
7#28252C211yesmaximal, characteristic, complemented
8#27630C212yesmaximal, complemented
9#27627C212yesmaximal, complemented
10#24156C212yesmaximal
11#24153C212yesmaximal, complemented
12#23701C214yesmaximal, complemented
13C4×#477C212yesmaximal, complemented
14C4×#474C212yesmaximal, complemented
15C4×#460C212yesmaximal, complemented
16C4×#461C212yesmaximal, complemented
17#20808C211yesmaximal, characteristic, complemented
18C2×#533C2211yescharacteristic
19C2×#532C2211yescharacteristic
20C2×C4×#41—21no—
21C2×#477C2212yes—
22C2×#474C2212yes—
23C2×#460C2212yes—
24C2×#461C2212yes—
25C2×C4×SD16C2214yes—
26C2×#431C2212yes—
27C4×C4⋊Q8C2211yescharacteristic
28C4×C4⋊Q8C2211yescharacteristic
29C4×C4⋊Q8C2211yescharacteristic
30C4×C4⋊Q8C2211yescharacteristic
31C4×C4⋊Q8C2211yescharacteristic
32C4×C4⋊Q8C2211yescharacteristic
33C4×#127C2211yescharacteristic
34C4×#127C2211yescharacteristic
35C4×#125—21no—
36C4×#125—21no—
37C4×#124—21no—
38C4×#124—21no—
39C4×C22⋊Q8—21no—
40C4×C22⋊Q8—21no—
41C4×C22⋊Q8C2212yes—
42C4×C22⋊Q8C2212yes—
43C4×#121—21no—
44C4×#121—21no—
45C4×#121C2212yes—
46C4×#121C2212yes—
47#2297—21no—
48#2296—21no—
49#2295—21no—
50#2295C2212yes—
51#2293—21no—
52#2293C2212yes—
53#2285C2211yescharacteristic
54#2285C2211yescharacteristic
55C42×Q8—21no—
56C42×Q8C2212yes—
57C42×D4—21no—
58C42×D4C2212yes—
59C4×#117—21no—
60C2×C43C2211yescharacteristic
61#2088C2214yes—
62#2077C2214yes—
63#2068C2214yes—
64#2067C2214yes—
65#2055C2214yes—
66#2036C2214yes—
67#2033C2214yes—
68#2000C2214yes—
69#1988C2212yes—
70#1987C2212yes—
71#1982C2212yes—
72#1981C2212yes—
73#1948C2212yes—
74#1948C2212yes—
75#1947C2212yes—
76#1947C2212yes—
77#1927C2214yes—
78#1926C2214yes—
79#1921C2214yes—
80#1918C2214yes—
81#1880C2214yes—
82#1877C2214yes—
83#1863C2214yes—
84#1862C2214yes—
85#1842C2211yescharacteristic
86#1842C2211yescharacteristic
87#1831C2212yes—
88#1803C2212yes—
89#1803C2212yes—
90#1802C2212yes—
91#1802C2212yes—
92#1797C2212yes—
93#1797C2212yes—
94C4×#107C2214yes—
95C4×C4⋊C8C2212yes—
96C4×C4⋊C8C2212yes—
97C4×#103C2214yes—
98C4×#102C2214yes—
99C22×#41—21no—
100C22×SD16C2314yes—
101#533—24no—
102#533—24no—
103#532—24no—
104#532—24no—
105C2×C4⋊Q8C2311yescharacteristic
106C2×C4⋊Q8C2311yescharacteristic
107C2×C4⋊Q8C2311yescharacteristic
108C2×#127C2311yescharacteristic
109C2×#125—21no—
110C2×#124—21no—
111C2×C22⋊Q8—21no—
112C2×C22⋊Q8C2312yes—
113C2×#121—21no—
114C2×#121C2312yes—
115C4×#41—48no—
116C2×C4×Q8—21no—
117C2×C4×Q8—21no—
118C2×C4×Q8—21no—
119C2×C4×Q8—21no—
120C2×C4×Q8—21no—
121C2×C4×Q8C2312yes—
122C2×C4×Q8C2312yes—
123C2×C4×Q8C2312yes—
124C2×C4×D4—22no—
125C2×C4×D4—22no—
126C2×C4×D4—21no—
127C2×C4×D4—21no—
128C2×C4×D4—21no—
129C2×C4×D4—21no—
130C2×C4×D4—21no—
131C2×C4×D4C2312yes—
132C2×C4×D4C2312yes—
133C2×C4×D4C2312yes—
134C2×#117—21no—
135C2×#117—21no—
136C2×#117—21no—
137C2×#117—22no—
138C22×C42—22no—
139C22×C42D411yescharacteristic
140C22×C42D411yescharacteristic
141C22×C42D411yescharacteristic
142C22×C42D411yescharacteristic
143C22×C42C2311yescharacteristic
144C22×C42C2311yescharacteristic
145C22×C42C2311yescharacteristic
146#477—28no—
147#474—28no—
148#461—28no—
149#460—28no—
150C4×SD16—48no—
151#431—44no—
152C2×#107C2314yes—
153C2×#107C2314yes—
154C2×#106C2314yes—
155C2×C4⋊C8C2312yes—
156C2×C4⋊C8C2312yes—
157C2×C4⋊C8C2312yes—
158C2×C4⋊C8C2312yes—
159C2×C4⋊C8C2312yes—
160C2×C4⋊C8C2312yes—
161C2×#103C2314yes—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#102C2314yes—
165C2×#102C2314yes—
166C2×#102C2314yes—
167C2×C22⋊C8C2314yes—
168C2×C4×C8C2314yes—
169#391—21no—
170#391—21no—
171#391—21no—
172#391—21no—
173#391C2312yes—
174#391C2312yes—
175#390—21no—
176#390—21no—
177#390—21no—
178#390—21no—
179#390C2312yes—
180#390C2312yes—
181#389—21no—
182#389—21no—
183#389—21no—
184#389—21no—
185#389—21no—
186#389—21no—
187#389—21no—
188#389—21no—
189#389C2312yes—
190#389C2312yes—
191#389C2312yes—
192#389C2312yes—
193#388—22no—
194#388—22no—
195#388—22no—
196#388—22no—
197#387—22no—
198#387—22no—
199#387—22no—
200#387—22no—
201#386—22no—
202#386—22no—
203#385—22no—
204#385—22no—
205#384C2311yescharacteristic
206#384C2311yescharacteristic
207#384C2311yescharacteristic
208#384C2311yescharacteristic
209#382—21no—
210#382—21no—
211#380—21no—
212#380—21no—
213#380C2312yes—
214#380C2312yes—
215C4×C4⋊C4—21no—
216C4×C4⋊C4—21no—
217C4×C4⋊C4—21no—
218C4×C4⋊C4—21no—
219C4×C4⋊C4—22no—
220C4×C4⋊C4—22no—
221C4×C4⋊C4—22no—
222C4×C4⋊C4—22no—
223C4×C4⋊C4—21no—
224C4×C4⋊C4—21no—
225C4×C4⋊C4—21no—
226C4×C4⋊C4—21no—
227C4×C4⋊C4—21no—
228C4×C4⋊C4—21no—
229C4×C4⋊C4—22no—
230C4×C4⋊C4—22no—
231C4×C4⋊C4C2312yes—
232C4×C4⋊C4C2312yes—
233C4×C4⋊C4C2312yes—
234C4×C4⋊C4C2312yes—
235C4×C4⋊C4C2312yes—
236C4×C4⋊C4C2312yes—
237C4×C22⋊C4—22no—
238C4×C22⋊C4—22no—
239C4×C22⋊C4—22no—
240C4×C22⋊C4—22no—
241C4×C22⋊C4—22no—
242C4×C22⋊C4—22no—
243C4×C22⋊C4—22no—
244C4×C22⋊C4—22no—
245#376—22no—
246C43—22no—
247C43D411yescharacteristic
248C43D411yescharacteristic
249C43D411yescharacteristic
250C43D411yescharacteristic
251C43C2311yescharacteristic
252C43C2311yescharacteristic
253C43C2311yescharacteristic
254C43C2311yescharacteristic
255#340C2314yes—
256#340C2314yes—
257#340C2314yes—
258#340C2314yes—
259#340C2314yes—
260#340C2314yes—
261#336C2314yes—
262#336C2314yes—
263C2×#41—28no—
264C2×#41—44no—
265C2×#41—44no—
266C22×Q8—21no—
267C22×Q8—21no—
268C22×Q8C2412yes—
269C22×D4—22no—
270C22×D4—21no—
271C22×D4—21no—
272C22×D4C2412yes—
273C23×C4—22no—
274C23×C4—22no—
275C23×C4—22no—
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D411yescharacteristic
279C23×C4C2×D411yescharacteristic
280C23×C4C2×D411yescharacteristic
281C23×C4C2×D411yescharacteristic
282C23×C4C2411yescharacteristic
283C2×SD16—28no—
284C2×SD16—28no—
285C2×SD16—44no—
286C22×C8C2414yes—
287C22×C8C2414yes—
288C4⋊Q8—22no—
289C4⋊Q8—22no—
290C4⋊Q8—22no—
291C4⋊Q8#4114yes—
292C4⋊Q8#4114yescomplemented
293C4⋊Q8#4114yescomplemented
294#127—22no—
295#127#4114yes—
296#125—28no—
297#124—28no—
298C22⋊Q8—28no—
299C22⋊Q8—24no—
300C22⋊Q8—24no—
301#121—28no—
302#121—24no—
303#121—24no—
304C4×Q8—28no—
305C4×Q8—24no—
306C4×Q8—24no—
307C4×Q8—24no—
308C4×Q8—24no—
309C4×Q8—24no—
310C4×Q8—24no—
311C4×Q8—44no—
312C4×Q8—44no—
313C4×Q8—44no—
314C4×Q8—44no—
315C4×D4—28no—
316C4×D4—24no—
317C4×D4—24no—
318C4×D4—24no—
319C4×D4—24no—
320C4×D4—24no—
321C4×D4—24no—
322C4×D4—44no—
323C4×D4—44no—
324C4×D4—48no—
325C4×D4—48no—
326C4×D4—44no—
327C4×D4—44no—
328#117—28no—
329#117—48no—
330#117—44no—
331#117—44no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4C2412yes—
353C2×C4⋊C4C2412yes—
354C2×C4⋊C4C2412yes—
355C2×C4⋊C4C2412yes—
356C2×C4⋊C4C2412yes—
357C2×C4⋊C4C2412yes—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
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×C42—22no—
370C2×C42—24no—
371C2×C42—24no—
372C2×C42—24no—
373C2×C42—22no—
374C2×C42—22no—
375C2×C42—22no—
376C2×C42—22no—
377C2×C42—22no—
378C2×C42—22no—
379C2×C42—22no—
380C2×C42—22no—
381C2×C42—22no—
382C2×C42—22no—
383C2×C42—22no—
384C2×C42—22no—
385C2×C42—22no—
386C2×C42—22no—
387C2×C42—42no—
388C2×C42—48no—
389C2×C42C2×D411yescharacteristic
390C2×C42C2×D411yescharacteristic
391C2×C42C2×D411yescharacteristic
392C2×C42C2×D411yescharacteristic
393C2×C42C2×D411yescharacteristic
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×C42C2411yescharacteristic
412C2×C42C2411yescharacteristic
413C2×C42C2411yescharacteristic
414C2×C42C2411yescharacteristic
415C2×C42C2411yescharacteristic
416C2×C42C2411yescharacteristic
417#107—28no—
418#107—28no—
419#106—44no—
420C4⋊C8—24no—
421C4⋊C8—24no—
422C4⋊C8—24no—
423C4⋊C8—24no—
424C4⋊C8—42no—
425C4⋊C8—42no—
426#103—28no—
427#103—28no—
428#103—44no—
429#102—28no—
430#102—28no—
431#102—44no—
432C22⋊C8—44no—
433C4×C8—28no—
434#95—22no—
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—
447#95—22no—
448#95—22no—
449#95—22no—
450C24—22no—
451C24C22×D411yescharacteristic
452#41—432no—
453C2×Q8—24no—
454C2×Q8—24no—
455C2×Q8—22no—
456C2×Q8—22no—
457C2×Q8—22no—
458C2×Q8—22no—
459C2×Q8—22no—
460C2×Q8—42no—
461C2×Q8—42no—
462C2×Q8—42no—
463C2×Q8—42no—
464C2×Q8C2×#4114yes—
465C2×D4—28no—
466C2×D4—24no—
467C2×D4—24no—
468C2×D4—22no—
469C2×D4—22no—
470C2×D4—22no—
471C2×D4—22no—
472C2×D4—22no—
473C2×D4—42no—
474C2×D4—42no—
475C2×D4—44no—
476C2×D4—44no—
477C2×D4—42no—
478C2×D4—42no—
479C2×D4C2×#4114yes—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—28no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—21no—
505C22×C4—21no—
506C22×C4—21no—
507C22×C4—21no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—44no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—44no—
518C22×C4—44no—
519C22×C4—44no—
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C2511yescharacteristic
534SD16—416no—
535C2×C8—24no—
536C2×C8—24no—
537C2×C8—24no—
538C2×C8—24no—
539C2×C8—24no—
540C2×C8—24no—
541C4⋊C4—28no—
542C4⋊C4—28no—
543C4⋊C4—24no—
544C4⋊C4—24no—
545C4⋊C4—24no—
546C4⋊C4—24no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—44no—
562C4⋊C4—44no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—42no—
566C4⋊C4—44no—
567C4⋊C4—42no—
568C4⋊C4—44no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4C2×#4114yes—
572C4⋊C4C2×#4114yes—
573C22⋊C4—28no—
574C22⋊C4—28no—
575C22⋊C4—28no—
576C22⋊C4—44no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C42—28no—
585C42—22no—
586C42—22no—
587C42—22no—
588C42—22no—
589C42—22no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—21no—
601C42—21no—
602C42—21no—
603C42—21no—
604C42—21no—
605C42—21no—
606C42—41no—
607C42—41no—
608C42—41no—
609C42—41no—
610C42—44no—
611C42—44no—
612C42—44no—
613C42—44no—
614C42—44no—
615C42—44no—
616C42—44no—
617C42—44no—
618C42#13514yes—
619C42AGL(1,ℤ/8)14yes—
620C42#13714yes—
621C42C2×#4112yes—
622C42C2×#4112yes—
623C42C2×#4112yes—
624C42C2×#4112yes—
625C42H(5,𝔽2)12yes—
626C422−1+412yes—
627C23—21no—
628C23—21no—
629C23—21no—
630C23—21no—
631C23—21no—
632C23—21no—
633C23—24no—
634C23—42no—
635C23—42no—
636C23—42no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23#57512yes—
641C23C23×D411yescharacteristic
642Q8—24no—
643Q8—24no—
644Q8—48no—
645Q8—48no—
646Q8—42no—
647Q8—42no—
648D4—24no—
649D4—24no—
650D4—48no—
651D4—416no—
652D4—48no—
653D4—42no—
654D4—42no—
655C2×C4—28no—
656C2×C4—28no—
657C2×C4—28no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—416no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—44no—
693C2×C4—44no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—41no—
698C2×C4—44no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—88no—
712C2×C4—88no—
713C2×C4#52512yes—
714C2×C4#52512yes—
715C2×C4#52512yes—
716C2×C4#52512yes—
717C2×C4#53712yes—
718C2×C4#53712yes—
719C2×C4C2×#13512yes—
720C2×C4C2×#13512yes—
721C2×C4C2×#13512yes—
722C2×C4C2×AGL(1,ℤ/8)12yes—
723C2×C4C2×AGL(1,ℤ/8)12yes—
724C2×C4C2×AGL(1,ℤ/8)12yes—
725C2×C4C2×#13712yes—
726C2×C4C2×#13712yes—
727C2×C4C2×#13712yes—
728C2×C4C22×#4111yescharacteristic
729C2×C4C22×#4111yescharacteristic
730C2×C4C22×#4111yescharacteristic
731C2×C4C22×#4111yescharacteristic
732C2×C4C2×H(5,𝔽2)11yescharacteristic
733C2×C4C2×2−1+411yescharacteristic
734C8—44no—
735C8—44no—
736C22—22no—
737C22—22no—
738C22—22no—
739C22—41no—
740C22—41no—
741C22—41no—
742C22—41no—
743C22—44no—
744C22—44no—
745C22—44no—
746C22—82no—
747C22—82no—
748C22—82no—
749C22—82no—
750C22C2×#52511yescharacteristic
751C22C2×#52511yescharacteristic
752C22C2×#53711yescharacteristic
753C22C22×#13511yescharacteristic
754C22C22×AGL(1,ℤ/8)11yescharacteristic
755C22C22×#13711yescharacteristic
756C22C2×#57511yescharacteristic
757C4—22no—
758C4—22no—
759C4—22no—
760C4—22no—
761C4—22no—
762C4—22no—
763C4—41no—
764C4—44no—
765C4—41no—
766C4—44no—
767C4—41no—
768C4—44no—
769C4—41no—
770C4—82no—
771C4—82no—
772C4—82no—
773C4—82no—
774C4#310614yes—
775C4#310714yes—
776C4#325414yes—
777C4#348111yescharacteristic
778C4#348211yescharacteristic
779C4#348211yescharacteristic
780C4#348311yescharacteristic
781C2—42no—
782C2—84no—
783C2#3497611yescharacteristic
784C2C2×#310611yescharacteristic
785C2C2×#310711yescharacteristic
786C2#6055811yescharacteristic
787C2#6056011yescharacteristic
788C2#6090011yescharacteristic
789C2C2×#325411yescharacteristic
subgroupG/H
centerC22×C4C22×D4
commutator, Frattini, cosocleC22×C4C25
socleC23C23×D4
prime radicalC2×#532C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C4 ◁ C2×C43 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C4×#533C2semidirect
3. #29535C2semidirect
4. #29287C2semidirect
5. #28284C2semidirect
6. #28279C2semidirect
7. #28252C2semidirect
8. #27630C2semidirect
9. #27627C2semidirect
11. #24153C2semidirect
12. #23701C2semidirect
13. C4×#477C2semidirect
14. C4×#474C2semidirect
15. C4×#460C2semidirect
16. C4×#461C2semidirect
17. #20808C2semidirect
292. C4⋊Q8#41semidirect
293. C4⋊Q8#41semidirect

Maximal subgroups

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

subgroupindex
C4×#5332
C4×#5322
#295352
#292872
#282842
#282792
#282522
#276302
#276272
#241562
#241532
#237012
C4×#4772
C4×#4742
C4×#4602
C4×#4612
#208082