Finite Group Databasebeta

← #6574541

Subgroups — #6574541

Order 512.

2451 conjugacy classes of subgroups.

The subgroup lattice has 782 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3077C212yesmaximal, complemented
2#36134C211yesmaximal, characteristic, complemented
3C4×D42C211yesmaximal, characteristic
4#33195C211yesmaximal, characteristic, complemented
5#32953C212yesmaximal, complemented
6#28508C211yesmaximal, characteristic, complemented
7#28280C211yesmaximal, characteristic, complemented
8#26463C212yesmaximal, complemented
9#26364C214yesmaximal, complemented
10#26041C212yesmaximal, complemented
11#25968C214yesmaximal, complemented
12#24844C212yesmaximal, complemented
13#24300C212yesmaximal, complemented
14#22665C212yesmaximal, complemented
15#22650C211yesmaximal, characteristic, complemented
16#22428C212yesmaximal
17C4×#476C211yesmaximal, characteristic, complemented
18C2×D42C2211yescharacteristic
19C2×#533C2212yescomplemented
20C22×C4×D4—21no—
21C22×C4×D4C2212yes—
22#3077—216no—
23C2×#478C2214yes—
24C2×#478C2214yescomplemented
25C2×#476C2211yescharacteristic
26C2×#476C2212yescomplemented
27C2×#474C2212yes—
28C2×#474C2212yescomplemented
29C2×#474C2212yescomplemented
30C2×#436C2212yes—
31C2×#428C2214yescomplemented
32C2×#423C2212yescomplemented
33C2×#418C2214yes—
34#2868C2211yescharacteristic, complemented
35#2857C2212yescomplemented
36#2552C2212yescomplemented
37#2542—21no—
38#2538—21no—
39#2441C2214yescomplemented
40#2429—22no—
41#2423—22no—
42#2366C2211yescharacteristic
43#2365—21no—
44#2361—21no—
45#2361C2212yes—
46#2358—22no—
47#2354C2212yes—
48Q8×C4⋊C4—21no—
49D4×C4⋊C4C2211yescharacteristic
50D4×C4⋊C4C2211yescharacteristic
51D4×C22⋊C4—21no—
52D4×C22⋊C4C2212yes—
53C4×C4⋊Q8C2211yescharacteristic, complemented
54C4×#127C2211yescharacteristic
55C4×#121—21no—
56C4×#121C2212yes—
57C4×#120—22no—
58C42×D4C2211yescharacteristic
59C42×D4C2211yescharacteristic
60#2093C2214yescomplemented
61#2087C2214yescomplemented
62#2065C2214yescomplemented
63#2065C2214yescomplemented
64#2059C2214yescomplemented
65#2025C2214yescomplemented
66#1988C2212yescomplemented
67#1987C2211yescharacteristic, complemented
68#1982C2212yes—
69#1957C2212yes—
70#1948C2211yescharacteristic, complemented
71#1948C2212yescomplemented
72#1947C2212yescomplemented
73#1947C2212yescomplemented
74#1939C2212yescomplemented
75#1920C2212yescomplemented
76#1895C2214yes—
77#1875C2214yes—
78#1864C2212yes—
79#1862C2214yes—
80#1862C2214yescomplemented
81#1854C2214yescomplemented
82#1852C2214yescomplemented
83#1851C2214yescomplemented
84#1845C2212yescomplemented
85#1842C2211yescharacteristic, complemented
86#1809C2214yescomplemented
87#1802C2211yescharacteristic
88#1802C2212yes—
89#1802C2212yes—
90#1802C2212yescomplemented
91#1797C2212yescomplemented
92#1786C2214yes—
93C4×#106C2212yescomplemented
94C4×C4⋊C8C2211yescharacteristic, complemented
95C4×#102C2212yes—
96C23×D4—21no—
97C23×D4C2312yes—
98C24×C4—22no—
99C22×M16C2314yes—
100D42—24no—
101D42Q818yescomplemented
102#533—28no—
103#533—44no—
104C2×C4⋊Q8—21no—
105C2×C4⋊Q8—21no—
106C2×C4⋊Q8C2312yes—
107C2×C4⋊Q8C2311yescharacteristic
108C2×#127C2311yescharacteristic
109C2×#125C2314yes—
110C2×C22⋊Q8—22no—
111C2×C22⋊Q8—22no—
112C2×C22⋊Q8—22no—
113C2×#121—21no—
114C2×#121C2312yes—
115C2×#120—22no—
116C2×C4×Q8—21no—
117C2×C4×Q8—22no—
118C2×C4×Q8—22no—
119C2×C4×D4—21no—
120C2×C4×D4—22no—
121C2×C4×D4—21no—
122C2×C4×D4—22no—
123C2×C4×D4—28no—
124C2×C4×D4—21no—
125C2×C4×D4—22no—
126C2×C4×D4—22no—
127C2×C4×D4—21no—
128C2×C4×D4—44no—
129C2×C4×D4—48no—
130C2×C4×D4D411yescharacteristic
131C2×C4×D4D411yescharacteristic
132C2×C4×D4C2312yes—
133C2×C4×D4C2312yes—
134C2×C4×D4C2312yes—
135C2×C4×D4C2311yescharacteristic
136C2×C4×D4C2311yescharacteristic
137C2×C4×D4C2311yescharacteristic
138C2×C4×D4C2311yescharacteristic
139C2×#117C2314yes—
140C22×C4⋊C4—21no—
141C22×C4⋊C4C2312yes—
142C22×C22⋊C4—22no—
143C22×C22⋊C4—22no—
144C22×C42—21no—
145C22×C42C2312yes—
146#478—216no—
147#478—216no—
148#476—28no—
149#476D418yescomplemented
150#474—28no—
151#474—28no—
152#474—44no—
153#436—28no—
154#428—216no—
155C2×#107C2314yes—
156C2×#107C2314yes—
157C2×#107C2314yes—
158C2×#106C2314yes—
159C2×#106C2312yes—
160C2×#106C2312yes—
161#423—28no—
162C2×C4⋊C8C2314yes—
163C2×C4⋊C8C2311yescharacteristic
164C2×C4⋊C8C2312yes—
165C2×C4⋊C8C2312yes—
166C2×C4⋊C8C2312yes—
167C2×C4⋊C8C2311yescharacteristic
168#418—216no—
169C2×#102C2314yes—
170C2×#102C2314yes—
171C2×#102C2314yes—
172C2×#102C2312yes—
173C2×#102C2314yes—
174C2×#102C2314yes—
175C2×#102C2312yes—
176C2×C22⋊C8C2314yes—
177C2×C4×C8C2312yes—
178#399—24no—
179#398—24no—
180#396—24no—
181#391—21no—
182#391—22no—
183#390—22no—
184#390—21no—
185#390—21no—
186#390—21no—
187#390C2312yes—
188#390C2312yes—
189#389—21no—
190#389—22no—
191#389—21no—
192#389—22no—
193#389—24no—
194#389C2312yes—
195#389C2312yes—
196#389C2314yes—
197#388—24no—
198#388—22no—
199#388—22no—
200#387—24no—
201#386—22no—
202#386—22no—
203#386—22no—
204#386—22no—
205#386—22no—
206#385—22no—
207#385—22no—
208#385—22no—
209#384—22no—
210#384—21no—
211#384—21no—
212#384C2311yescharacteristic
213#384C2311yescharacteristic
214#384C2312yes—
215#384C2312yes—
216#380—22no—
217#380—21no—
218#380C2312yes—
219#380C2314yes—
220#379—22no—
221C4×C4⋊C4—22no—
222C4×C4⋊C4—21no—
223C4×C4⋊C4D411yescharacteristic
224C4×C4⋊C4D411yescharacteristic
225C4×C4⋊C4C2312yes—
226C4×C4⋊C4C2311yescharacteristic
227C4×C4⋊C4C2311yescharacteristic
228C4×C4⋊C4C2311yescharacteristic
229C4×C4⋊C4C2311yescharacteristic
230C4×C22⋊C4—21no—
231C4×C22⋊C4—21no—
232C4×C22⋊C4—21no—
233C4×C22⋊C4—22no—
234C4×C22⋊C4D412yes—
235C4×C22⋊C4D412yes—
236C4×C22⋊C4C2312yes—
237C43C2311yescharacteristic
238#340C2314yes—
239#340C2314yes—
240#340C2312yes—
241#340C2314yes—
242#340C2312yes—
243#340C2312yes—
244#340C2312yes—
245#336C2314yes—
246#336C2312yes—
247C25—22no—
248C22×Q8—21no—
249C22×Q8—22no—
250C22×D4—24no—
251C22×D4—24no—
252C22×D4—22no—
253C22×D4—28no—
254C22×D4—22no—
255C22×D4—21no—
256C22×D4—21no—
257C22×D4—24no—
258C22×D4—42no—
259C22×D4—42no—
260C22×D4—44no—
261C22×D4—44no—
262C22×D4C2×D411yescharacteristic
263C22×D4C2×Q818yes—
264C22×D4C2412yes—
265C22×D4C2411yescharacteristic
266C23×C4—21no—
267C23×C4—21no—
268C23×C4—22no—
269C23×C4—22no—
270C23×C4—21no—
271C23×C4—22no—
272C23×C4—22no—
273C23×C4—48no—
274C23×C4—48no—
275C23×C4—84no—
276C23×C4C2×D412yes—
277C23×C4C2×D412yes—
278C23×C4C2412yes—
279C2×M16—28no—
280C2×M16—28no—
281C2×M16—44no—
282C22×C8C2414yes—
283C22×C8C2412yes—
284C22×C8C2412yes—
285C4⋊Q8—24no—
286C4⋊Q8—22no—
287C4⋊Q8—24no—
288C4⋊Q8—44no—
289C4⋊Q8—82no—
290C4⋊Q8C2×D414yescomplemented
291#127—22no—
292#127C2×Q814yes—
293#125—28no—
294#125—44no—
295C22⋊Q8—48no—
296C22⋊Q8—48no—
297C22⋊Q8—84no—
298#121—24no—
299#121—28no—
300#121C2×Q818yes—
301#120—216no—
302C4×Q8—48no—
303C4×Q8—48no—
304C4×Q8—44no—
305C4×D4—24no—
306C4×D4—22no—
307C4×D4—24no—
308C4×D4—24no—
309C4×D4—24no—
310C4×D4—22no—
311C4×D4—22no—
312C4×D4—24no—
313C4×D4—48no—
314C4×D4—42no—
315C4×D4—42no—
316C4×D4—42no—
317C4×D4—41no—
318C4×D4—48no—
319C4×D4—48no—
320C4×D4—44no—
321C4×D4—48no—
322C4×D4—44no—
323C4×D4—44no—
324C4×D4—82no—
325C4×D4C2×D414yes—
326C4×D4C2×Q814yes—
327C4×D4C2×Q814yes—
328C4×D4#4114yes—
329#117—28no—
330#117—44no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—24no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—24no—
337C2×C4⋊C4—24no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—22no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—24no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—42no—
349C2×C4⋊C4—44no—
350C2×C4⋊C4C2×D411yescharacteristic
351C2×C4⋊C4C2×D411yescharacteristic
352C2×C4⋊C4C2×D411yescharacteristic
353C2×C4⋊C4C2412yes—
354C2×C4⋊C4C2414yes—
355C2×C4⋊C4C2411yescharacteristic
356C2×C4⋊C4C2412yes—
357C2×C4⋊C4C2411yescharacteristic
358C2×C4⋊C4C2412yes—
359C2×C4⋊C4C2411yescharacteristic
360C2×C22⋊C4—21no—
361C2×C22⋊C4—21no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—24no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—21no—
371C2×C22⋊C4—24no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—48no—
375C2×C22⋊C4—48no—
376C2×C22⋊C4C2×D412yes—
377C2×C22⋊C4C2×D412yes—
378C2×C22⋊C4C2×D412yes—
379C2×C42—24no—
380C2×C42—24no—
381C2×C42—24no—
382C2×C42—21no—
383C2×C42—21no—
384C2×C42—21no—
385C2×C42—22no—
386C2×C42—44no—
387C2×C42C2×D412yes—
388C2×C42C2×D412yes—
389C2×C42C2×D411yescharacteristic
390C2×C42C2×D411yescharacteristic
391C2×C42C2×D411yescharacteristic
392C2×C42C2×D411yescharacteristic
393C2×C42C2412yes—
394C2×C42C2411yescharacteristic
395C2×C42C2411yescharacteristic
396C2×C42C2411yescharacteristic
397#107—28no—
398#107—28no—
399#107—44no—
400#106—28no—
401#106—42no—
402#106C2×D418yescomplemented
403C4⋊C8—28no—
404C4⋊C8—24no—
405C4⋊C8—24no—
406C4⋊C8—22no—
407C4⋊C8—42no—
408C4⋊C8C2×D414yescomplemented
409#102—28no—
410#102—24no—
411#102—28no—
412#102—28no—
413#102—44no—
414#102—44no—
415#102C2×D418yes—
416C22⋊C8—28no—
417C4×C8—24no—
418#95—21no—
419#95—21no—
420#95—21no—
421#95—22no—
422#95—22no—
423#95—24no—
424#95—22no—
425#95—22no—
426#95—24no—
427#95C2×D412yes—
428#95C2×D412yes—
429#95C2×D412yes—
430C24—21no—
431C24—22no—
432C24—28no—
433C24—44no—
434C24—44no—
435C24—44no—
436C24—44no—
437C24—82no—
438C24—82no—
439C24C22×D412yes—
440C2×Q8—24no—
441C2×Q8—42no—
442C2×Q8—42no—
443C2×Q8—44no—
444C2×Q8—44no—
445C2×Q8—44no—
446C2×D4—216no—
447C2×D4—28no—
448C2×D4—28no—
449C2×D4—24no—
450C2×D4—24no—
451C2×D4—22no—
452C2×D4—22no—
453C2×D4—22no—
454C2×D4—21no—
455C2×D4—22no—
456C2×D4—21no—
457C2×D4—22no—
458C2×D4—22no—
459C2×D4—21no—
460C2×D4—22no—
461C2×D4—48no—
462C2×D4—48no—
463C2×D4—48no—
464C2×D4—44no—
465C2×D4—44no—
466C2×D4—432no—
467C2×D4—44no—
468C2×D4—44no—
469C2×D4—42no—
470C2×D4—42no—
471C2×D4—81no—
472C2×D4—81no—
473C2×D4C22⋊Q814yes—
474C2×D4C22×D412yes—
475C2×D4C22×Q814yes—
476C2×D4C22×Q812yes—
477C2×D42−1+412yes—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—21no—
483C22×C4—22no—
484C22×C4—21no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—24no—
488C22×C4—24no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—22no—
492C22×C4—21no—
493C22×C4—24no—
494C22×C4—22no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—44no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—42no—
501C22×C4—44no—
502C22×C4—44no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—44no—
508C22×C4—44no—
509C22×C4—42no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—81no—
513C22×C4—82no—
514C22×C4—82no—
515C22×C4—82no—
516C22×C4—832no—
517C22×C4C22×D412yes—
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D412yes—
520C22×C4C22×D412yes—
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×Q814yes—
527C22×C4C2×#4114yes—
528C22×C4C2511yescharacteristic
529M16—416no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—24no—
533C2×C8—22no—
534C2×C8—24no—
535C2×C8—22no—
536C2×C8—22no—
537C2×C8—24no—
538C2×C8C22×D414yes—
539C4⋊C4—24no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—22no—
545C4⋊C4—24no—
546C4⋊C4—22no—
547C4⋊C4—24no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—21no—
551C4⋊C4—22no—
552C4⋊C4—21no—
553C4⋊C4—44no—
554C4⋊C4—48no—
555C4⋊C4—48no—
556C4⋊C4—44no—
557C4⋊C4—42no—
558C4⋊C4—44no—
559C4⋊C4—44no—
560C4⋊C4—42no—
561C4⋊C4—44no—
562C4⋊C4—44no—
563C4⋊C4—42no—
564C4⋊C4—81no—
565C4⋊C4—84no—
566C4⋊C4—82no—
567C4⋊C4—82no—
568C4⋊C4C22⋊Q814yes—
569C4⋊C4C22×D414yes—
570C4⋊C4C22×D412yes—
571C4⋊C4C22×Q812yes—
572C22⋊C4—24no—
573C22⋊C4—28no—
574C22⋊C4—24no—
575C22⋊C4—24no—
576C22⋊C4—42no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—48no—
580C22⋊C4—42no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—82no—
586C22⋊C4—82no—
587C22⋊C4—84no—
588C22⋊C4C22⋊Q818yes—
589C42—24no—
590C42—24no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—21no—
596C42—21no—
597C42—41no—
598C42—48no—
599C42—42no—
600C42—42no—
601C42—42no—
602C42—44no—
603C42AGL(1,ℤ/8)14yes—
604C42C22×D412yes—
605C42C22×Q812yes—
606C42C2×#4112yes—
607C42H(5,𝔽2)12yes—
608C23—22no—
609C23—22no—
610C23—22no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—24no—
618C23—416no—
619C23—416no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—88no—
631C23—88no—
632C23—88no—
633C23—88no—
634C23—88no—
635C23C2×C22⋊Q814yes—
636C23C23×D411yescharacteristic
637Q8—48no—
638Q8—88no—
639D4—28no—
640D4—24no—
641D4—22no—
642D4—22no—
643D4—24no—
644D4—22no—
645D4—416no—
646D4—416no—
647D4—48no—
648D4—42no—
649D4—42no—
650D4—84no—
651D4D4×Q814yes—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—22no—
656C2×C4—21no—
657C2×C4—22no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—24no—
663C2×C4—24no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—24no—
669C2×C4—22no—
670C2×C4—21no—
671C2×C4—22no—
672C2×C4—21no—
673C2×C4—22no—
674C2×C4—21no—
675C2×C4—22no—
676C2×C4—42no—
677C2×C4—41no—
678C2×C4—41no—
679C2×C4—42no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—48no—
683C2×C4—48no—
684C2×C4—48no—
685C2×C4—41no—
686C2×C4—44no—
687C2×C4—42no—
688C2×C4—41no—
689C2×C4—42no—
690C2×C4—41no—
691C2×C4—42no—
692C2×C4—44no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—44no—
696C2×C4—42no—
697C2×C4—84no—
698C2×C4—84no—
699C2×C4—88no—
700C2×C4—88no—
701C2×C4—88no—
702C2×C4—88no—
703C2×C4C2×C22⋊Q812yes—
704C2×C4C2×C22⋊Q814yes—
705C2×C4C2×C22⋊Q812yes—
706C2×C4D4212yes—
707C2×C4D4212yes—
708C2×C4C2×AGL(1,ℤ/8)12yes—
709C2×C4C2×AGL(1,ℤ/8)12yes—
710C2×C4C2×AGL(1,ℤ/8)12yes—
711C2×C4#57512yes—
712C2×C4#57612yes—
713C2×C4C23×D411yescharacteristic
714C2×C4C23×Q811yescharacteristic
715C2×C4C22×#4111yescharacteristic
716C2×C4C2×H(5,𝔽2)11yescharacteristic
717C2×C4C2×2−1+411yescharacteristic
718C2×C4#58511yescharacteristic
719C8—24no—
720C8—44no—
721C8—42no—
722C22—24no—
723C22—24no—
724C22—24no—
725C22—24no—
726C22—42no—
727C22—42no—
728C22—42no—
729C22—42no—
730C22—42no—
731C22—42no—
732C22—42no—
733C22—42no—
734C22—42no—
735C22—42no—
736C22—44no—
737C22—44no—
738C22—44no—
739C22—832no—
740C22—82no—
741C22—82no—
742C22—82no—
743C22—82no—
744C22C22×C22⋊Q811yescharacteristic
745C22C2×D4211yescharacteristic
746C22#348911yescharacteristic
747C22C22×AGL(1,ℤ/8)11yescharacteristic
748C22C2×#57511yescharacteristic
749C22C2×#57611yescharacteristic
750C22#358611yescharacteristic
751C4—22no—
752C4—22no—
753C4—22no—
754C4—24no—
755C4—42no—
756C4—42no—
757C4—42no—
758C4—42no—
759C4—44no—
760C4—41no—
761C4—82no—
762C4—84no—
763C4—81no—
764C4—82no—
765C4#307714yescomplemented
766C4#327414yes—
767C4C2×D4×Q811yescharacteristic
768C4D4×#4111yescharacteristic
769C4#350111yescharacteristic
770C4#352011yescharacteristic
771C2—44no—
772C2—44no—
773C2—84no—
774C2D4×C22⋊Q811yescharacteristic
775C2C2×#307711yescharacteristic
776C2#6049411yescharacteristic
777C2C2×#327411yescharacteristic
778C2#6106711yescharacteristic
779C2#6210911yescharacteristic
780C2#6214311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×D42C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#3077C2semidirect
2. #36134C2semidirect
4. #33195C2semidirect
5. #32953C2semidirect
6. #28508C2semidirect
7. #28280C2semidirect
8. #26463C2semidirect
9. #26364C2semidirect
10. #26041C2semidirect
11. #25968C2semidirect
12. #24844C2semidirect
13. #24300C2semidirect
14. #22665C2semidirect
15. #22650C2semidirect
17. C4×#476C2semidirect
19. C2×#533C22semidirect
24. C2×#478C22semidirect
26. C2×#476C22semidirect
28. C2×#474C22semidirect
29. C2×#474C22semidirect
31. C2×#428C22semidirect
32. C2×#423C22semidirect
34. #2868C22semidirect
35. #2857C22semidirect
36. #2552C22semidirect
39. #2441C22semidirect
53. C4×C4⋊Q8C22semidirect
60. #2093C22semidirect
61. #2087C22semidirect
62. #2065C22semidirect
63. #2065C22semidirect
64. #2059C22semidirect
65. #2025C22semidirect
66. #1988C22semidirect
67. #1987C22semidirect
70. #1948C22semidirect
71. #1948C22semidirect
72. #1947C22semidirect
73. #1947C22semidirect
74. #1939C22semidirect
75. #1920C22semidirect
80. #1862C22semidirect
81. #1854C22semidirect
82. #1852C22semidirect
83. #1851C22semidirect
84. #1845C22semidirect
85. #1842C22semidirect
86. #1809C22semidirect
90. #1802C22semidirect
91. #1797C22semidirect
93. C4×#106C22semidirect
94. C4×C4⋊C8C22semidirect
101. D42Q8semidirect
149. #476D4semidirect
290. C4⋊Q8C2×D4semidirect
402. #106C2×D4semidirect
408. C4⋊C8C2×D4semidirect
765. C4#3077semidirect

Maximal subgroups

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

subgroupindex
C2×#30772
#361342
C4×D422
#331952
#329532
#285082
#282802
#264632
#263642
#260412
#259682
#248442
#243002
#226652
#226502
#224282
C4×#4762