Finite Group Databasebeta

← #6394918

Subgroups — #6394918

Order 512.

2582 conjugacy classes of subgroups.

The subgroup lattice has 764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#3217C211yesmaximal, characteristic
2#34243C211yesmaximal, characteristic, complemented
3C2×#2366C211yesmaximal, characteristic, complemented
4#23231C214yesmaximal, complemented
5#23193C214yesmaximal, complemented
6#23101C212yesmaximal, complemented
7#23093C212yesmaximal, complemented
8#23001C212yesmaximal, complemented
9#22997C212yesmaximal, complemented
10#22049C212yesmaximal, complemented
11#22040C212yesmaximal, complemented
12#21803C211yesmaximal, characteristic, complemented
13#21452C212yesmaximal, complemented
14C4×#450C212yesmaximal, complemented
15#21388C211yesmaximal, characteristic, complemented
16#21365C211yesmaximal, characteristic, complemented
17#20535C211yesmaximal, characteristic, complemented
18C22×#127C2211yescharacteristic
19C2×#529C2211yescharacteristic
20C22×C4×D4—21no—
21C22×C4×D4C2212yes—
22#3217C4116yescomplemented
23C2×#496C2212yes—
24C2×#490C2212yes—
25C2×#460C2212yes—
26C2×#459C2212yes—
27C2×#450C2212yes—
28C2×#447C2212yes—
29C2×#442C2214yescomplemented
30C2×C4×SD16C2214yescomplemented
31C2×#432C2211yescharacteristic
32C2×#431C2211yescharacteristic
33#2370C2212yescomplemented
34#2367C2212yescomplemented
35#2366—21no—
36#2366—22no—
37#2366—21no—
38#2366C2212yes—
39#2366C2212yes—
40#2366C2214yes—
41#2359—22no—
42#2355C2211yescharacteristic, complemented
43#2354C2211yescharacteristic, complemented
44#2352—21no—
45Q8×C4⋊C4C2211yescharacteristic, complemented
46D4×C4⋊C4—21no—
47D4×C4⋊C4C2211yescharacteristic, complemented
48#2334—22no—
49#2314—21no—
50C4×C22⋊Q8C2212yes—
51C4×#121C2212yes—
52C2×#390—21no—
53C2×#390C2212yes—
54C2×#386—22no—
55#2285C2211yescharacteristic
56#2274—21no—
57C2×C4×C4⋊C4C2211yescharacteristic
58C2×C4×C4⋊C4C2211yescharacteristic
59#1989C2212yescomplemented
60#1983C2212yescomplemented
61#1982C2214yes—
62#1973C2214yescomplemented
63#1970C2214yescomplemented
64#1957C2212yes—
65#1957C2212yes—
66#1948C2212yescomplemented
67#1947C2212yescomplemented
68#1936C2214yescomplemented
69#1934C2214yescomplemented
70#1925C2214yescomplemented
71#1925C2214yescomplemented
72#1880C2214yescomplemented
73#1879C2214yescomplemented
74#1879C2214yescomplemented
75#1877C2214yescomplemented
76#1874C2211yescharacteristic
77#1874C2211yescharacteristic
78#1872C2211yescharacteristic
79#1872C2211yescharacteristic
80#1864C2214yescomplemented
81#1864C2214yescomplemented
82#1853C2212yes—
83#1852C2212yes—
84#1786C2212yes—
85#1786C2212yes—
86#1776C2214yescomplemented
87#1771C2214yescomplemented
88#1770C2212yescomplemented
89C8×C4⋊C4C2212yescomplemented
90#1762C2214yescomplemented
91C4×#103C2212yescomplemented
92C4×#102C2212yescomplemented
93C4×#102C2214yescomplemented
94#1749C2212yes—
95C4×C22⋊C8C2212yes—
96C23×D4—21no—
97C23×D4—21no—
98C23×D4C2312yes—
99C24×C4—22no—
100C22×SD16C2314yes—
101C22×D8C2314yes—
102C2×#127—21no—
103C2×#127—21no—
104C2×#127—24no—
105C2×#127C2×C418yescomplemented
106C2×#127C2312yes—
107C2×#127C2312yes—
108#529—24no—
109#529C2×C418yescomplemented
110C2×#126—21no—
111C2×#125C2311yescharacteristic
112C2×#124C2311yescharacteristic
113C2×#123—21no—
114C2×C22⋊Q8C2311yescharacteristic
115C2×#121C2311yescharacteristic
116C2×C4×Q8C2311yescharacteristic
117C2×C4×Q8C2312yes—
118C2×C4×D4—21no—
119C2×C4×D4—22no—
120C2×C4×D4—22no—
121C2×C4×D4—24no—
122C2×C4×D4—22no—
123C2×C4×D4—22no—
124C2×C4×D4—22no—
125C2×C4×D4—48no—
126C2×C4×D4—48no—
127C2×C4×D4C2314yes—
128C2×C4×D4C2314yes—
129C2×C4×D4C2311yescharacteristic
130C2×C4×D4C2312yes—
131C2×#117—21no—
132C2×#117—21no—
133C2×#117—21no—
134C22×C4⋊C4—21no—
135C22×C4⋊C4D411yescharacteristic
136C22×C4⋊C4D411yescharacteristic
137C22×C4⋊C4C2311yescharacteristic
138C22×C4⋊C4C2311yescharacteristic
139C22×C22⋊C4—22no—
140C22×C22⋊C4—22no—
141C22×C22⋊C4—22no—
142C22×C42—21no—
143C22×C42C2312yes—
144C22×C42C2311yescharacteristic
145#496C2×C4116yescomplemented
146#490C2×C4116yescomplemented
147#460C2×C4116yescomplemented
148#459C2×C4116yescomplemented
149#450C2×C4116yescomplemented
150#447C2×C4116yescomplemented
151#442—48no—
152C4×SD16—48no—
153#432C2×C418yescomplemented
154#431—24no—
155C2×#107C2314yes—
156C2×#106C2314yes—
157C2×C4⋊C8C2312yes—
158C2×C4⋊C8C2312yes—
159C2×#103C2312yes—
160C2×#103C2312yes—
161C2×#102C2312yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×#102C2312yes—
165C2×#102C2314yes—
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×#102C2314yes—
169C2×C22⋊C8C2311yescharacteristic
170C2×C22⋊C8C2311yescharacteristic
171C2×C22⋊C8C2312yes—
172C2×#97C2314yes—
173C2×#97C2312yes—
174C2×C4×C8C2312yes—
175C2×C4×C8C2314yes—
176#391C2312yes—
177#390—22no—
178#390—22no—
179#390—24no—
180#390—22no—
181#390—22no—
182#390C2312yes—
183#390C2314yes—
184#390C2314yes—
185#389—22no—
186#389—22no—
187#389C2312yes—
188#389C2312yes—
189#388—22no—
190#388—22no—
191#388—22no—
192#388—22no—
193#387—22no—
194#387—22no—
195#387—22no—
196#387—22no—
197#386—22no—
198#386—24no—
199#386—24no—
200#386—24no—
201#386—24no—
202#385—22no—
203#385—22no—
204#385—22no—
205#384—21no—
206#384C2311yescharacteristic
207#384C2311yescharacteristic
208#382—21no—
209#382—21no—
210#380—21no—
211#380—21no—
212#380—21no—
213#380C2312yes—
214C4×C4⋊C4—21no—
215C4×C4⋊C4—21no—
216C4×C4⋊C4—21no—
217C4×C4⋊C4—22no—
218C4×C4⋊C4—21no—
219C4×C4⋊C4—21no—
220C4×C4⋊C4—22no—
221C4×C4⋊C4D411yescharacteristic
222C4×C4⋊C4D412yes—
223C4×C4⋊C4D411yescharacteristic
224C4×C4⋊C4C2312yes—
225C4×C4⋊C4C2312yes—
226C4×C4⋊C4C2312yes—
227C4×C4⋊C4C2312yes—
228C4×C4⋊C4C2312yes—
229C4×C4⋊C4C2311yescharacteristic
230C4×C4⋊C4C2311yescharacteristic
231C4×C4⋊C4C2312yes—
232C4×C22⋊C4—22no—
233C4×C22⋊C4—22no—
234C4×C22⋊C4—22no—
235C2×#95—21no—
236C2×#95D412yes—
237#340C2314yes—
238#340C2314yes—
239#340C2312yes—
240#340C2312yes—
241#340C2312yes—
242#340C2312yes—
243#336C2314yes—
244#336C2314yes—
245C25—22no—
246C22×Q8C2411yescharacteristic
247C22×D4—21no—
248C22×D4—28no—
249C22×D4—28no—
250C22×D4—22no—
251C22×D4—22no—
252C22×D4—22no—
253C22×D4—22no—
254C22×D4—22no—
255C22×D4—24no—
256C22×D4—44no—
257C22×D4—44no—
258C22×D4—44no—
259C22×D4—44no—
260C22×D4—82no—
261C22×D4—82no—
262C22×D4C22×C418yes—
263C22×D4C2411yescharacteristic
264C22×D4C2414yes—
265C23×C4—21no—
266C23×C4—21no—
267C23×C4—21no—
268C23×C4—24no—
269C23×C4—24no—
270C23×C4—22no—
271C23×C4—48no—
272C23×C4—48no—
273C23×C4—84no—
274C23×C4C2×D412yes—
275C23×C4C2×D411yescharacteristic
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D412yes—
278C23×C4C2411yescharacteristic
279C2×SD16—44no—
280C2×SD16—44no—
281C2×SD16C22×C4116yescomplemented
282C2×D8—44no—
283C2×D8—44no—
284C2×D8C22×C4116yescomplemented
285C22×C8C2412yes—
286C22×C8C2412yes—
287C22×C8C2414yes—
288#127—28no—
289#127—28no—
290#127—24no—
291#127—24no—
292#127C22×C418yes—
293#127C22×C418yes—
294#126—28no—
295#125—22no—
296#125C22×C414yescomplemented
297#124—22no—
298#124C22×C414yescomplemented
299#123—28no—
300C22⋊Q8—22no—
301C22⋊Q8C22×C414yes—
302#121—22no—
303#121C22×C414yes—
304C4×Q8—22no—
305C4×Q8—44no—
306C4×Q8C22×C414yescomplemented
307C4×D4—28no—
308C4×D4—28no—
309C4×D4—28no—
310C4×D4—22no—
311C4×D4—44no—
312C4×D4—44no—
313C4×D4—44no—
314C4×D4—48no—
315C4×D4—48no—
316C4×D4—416no—
317C4×D4—48no—
318C4×D4—48no—
319C4×D4—84no—
320C4×D4C22×C414yescomplemented
321#117—28no—
322#117—44no—
323#117—82no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—24no—
330C2×C4⋊C4—24no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—21no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—42no—
340C2×C4⋊C4—42no—
341C2×C4⋊C4—44no—
342C2×C4⋊C4C2×D411yescharacteristic
343C2×C4⋊C4C2×D411yescharacteristic
344C2×C4⋊C4C2×D412yes—
345C2×C4⋊C4C2×D411yescharacteristic
346C2×C4⋊C4C2×D412yes—
347C2×C4⋊C4C2×D411yescharacteristic
348C2×C4⋊C4C2412yes—
349C2×C4⋊C4C2412yes—
350C2×C4⋊C4C2412yes—
351C2×C4⋊C4C2411yescharacteristic
352C2×C4⋊C4C2411yescharacteristic
353C2×C4⋊C4C2412yes—
354C2×C22⋊C4—21no—
355C2×C22⋊C4—21no—
356C2×C22⋊C4—21no—
357C2×C22⋊C4—21no—
358C2×C22⋊C4—21no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—24no—
361C2×C22⋊C4—24no—
362C2×C22⋊C4—24no—
363C2×C22⋊C4—24no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—24no—
366C2×C22⋊C4—24no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—48no—
370C2×C22⋊C4—48no—
371C2×C22⋊C4—84no—
372C2×C42—21no—
373C2×C42—22no—
374C2×C42—22no—
375C2×C42—22no—
376C2×C42—22no—
377C2×C42—22no—
378C2×C42—22no—
379C2×C42—44no—
380C2×C42—44no—
381C2×C42C22×C414yes—
382C2×C42C2×D412yes—
383C2×C42C2×D412yes—
384C2×C42C2×D411yescharacteristic
385C2×C42C2×D411yescharacteristic
386C2×C42#4114yes—
387C2×C42C2412yes—
388C2×C42C2412yes—
389C2×C42C2411yescharacteristic
390C2×C42C2411yescharacteristic
391#107—44no—
392#106—28no—
393C4⋊C8—24no—
394C4⋊C8C22×C418yescomplemented
395#103—24no—
396#103—42no—
397#102—24no—
398#102—44no—
399#102—44no—
400#102—42no—
401#102—44no—
402#102—44no—
403#102C22×C4116yescomplemented
404#102C22×C4116yescomplemented
405C22⋊C8—22no—
406C22⋊C8—22no—
407C22⋊C8C22×C418yes—
408#97—44no—
409#97C22×C418yescomplemented
410C4×C8—24no—
411C4×C8—44no—
412#95—22no—
413#95—22no—
414#95—22no—
415#95—22no—
416#95—22no—
417#95—22no—
418#95—22no—
419#95—22no—
420#95—22no—
421#95—22no—
422#95C2×D412yes—
423#95C2×D412yes—
424#95C2×D412yes—
425#95C2×D412yes—
426C24—28no—
427C24—21no—
428C24—24no—
429C24—44no—
430C24—44no—
431C24—44no—
432C24—44no—
433C24—44no—
434C24—44no—
435C24C22×D411yescharacteristic
436C2×Q8—21no—
437C2×Q8—22no—
438C2×Q8—22no—
439C2×Q8C23×C412yes—
440C2×D4—24no—
441C2×D4—28no—
442C2×D4—28no—
443C2×D4—28no—
444C2×D4—28no—
445C2×D4—28no—
446C2×D4—21no—
447C2×D4—24no—
448C2×D4—22no—
449C2×D4—24no—
450C2×D4—24no—
451C2×D4—22no—
452C2×D4—24no—
453C2×D4—24no—
454C2×D4—416no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—44no—
458C2×D4—44no—
459C2×D4—432no—
460C2×D4—416no—
461C2×D4—42no—
462C2×D4—42no—
463C2×D4—44no—
464C2×D4—44no—
465C2×D4—816no—
466C2×D4—82no—
467C2×D4—82no—
468C2×D4—82no—
469C2×D4—82no—
470C2×D4C23×C418yes—
471C2×D4C23×C412yes—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—22no—
484C22×C4—24no—
485C22×C4—24no—
486C22×C4—24no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—48no—
494C22×C4—48no—
495C22×C4—48no—
496C22×C4—44no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—48no—
505C22×C4—84no—
506C22×C4—84no—
507C22×C4—82no—
508C22×C4—82no—
509C22×C4—832no—
510C22×C4C4×D414yes—
511C22×C4C4×D414yes—
512C22×C4C23×C412yes—
513C22×C4C22×D412yes—
514C22×C4C22×D412yes—
515C22×C4C22×D412yes—
516C22×C4C22×D411yescharacteristic
517C22×C4C22×D411yescharacteristic
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D412yes—
521C22×C4C22×D411yescharacteristic
522C22×C4C2×#4112yes—
523C22×C4C2511yescharacteristic
524SD16—416no—
525D8—416no—
526C2×C8—24no—
527C2×C8—24no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—22no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8C23×C418yes—
535C4⋊C4—24no—
536C4⋊C4—24no—
537C4⋊C4—24no—
538C4⋊C4—24no—
539C4⋊C4—24no—
540C4⋊C4—24no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—21no—
545C4⋊C4—21no—
546C4⋊C4—22no—
547C4⋊C4—24no—
548C4⋊C4—24no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—42no—
552C4⋊C4—42no—
553C4⋊C4—44no—
554C4⋊C4—42no—
555C4⋊C4—42no—
556C4⋊C4—81no—
557C4⋊C4—81no—
558C4⋊C4—82no—
559C4⋊C4—82no—
560C4⋊C4AGL(1,ℤ/8)14yes—
561C4⋊C4C23×C412yes—
562C4⋊C4C23×C412yes—
563C4⋊C4H(5,𝔽2)14yes—
564C22⋊C4—24no—
565C22⋊C4—24no—
566C22⋊C4—24no—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—48no—
570C22⋊C4—48no—
571C22⋊C4—48no—
572C22⋊C4—44no—
573C22⋊C4—48no—
574C22⋊C4—44no—
575C22⋊C4—84no—
576C22⋊C4—84no—
577C22⋊C4—82no—
578C22⋊C4—82no—
579C42—24no—
580C42—24no—
581C42—24no—
582C42—42no—
583C42—42no—
584C42—44no—
585C42—44no—
586C42—44no—
587C42—82no—
588C42—82no—
589C42—82no—
590C42C4×D414yes—
591C42C4×D414yes—
592C42C23×C412yes—
593C42C23×C412yes—
594C42C2×#4112yes—
595C42C2×#4112yes—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—22no—
601C23—28no—
602C23—416no—
603C23—416no—
604C23—416no—
605C23—44no—
606C23—41no—
607C23—44no—
608C23—41no—
609C23—44no—
610C23—41no—
611C23—41no—
612C23—44no—
613C23—41no—
614C23—44no—
615C23—44no—
616C23—41no—
617C23—88no—
618C23—88no—
619C23—88no—
620C23—88no—
621C23C2×C4×D412yes—
622C23#57612yes—
623C23#57712yes—
624C23C23×D411yescharacteristic
625Q8—24no—
626Q8—42no—
627D4—24no—
628D4—28no—
629D4—28no—
630D4—416no—
631D4—416no—
632D4—48no—
633D4—416no—
634D4—42no—
635D4—44no—
636D4—44no—
637D4—88no—
638D4—88no—
639C2×C4—28no—
640C2×C4—22no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—22no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—24no—
651C2×C4—28no—
652C2×C4—24no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—24no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—48no—
667C2×C4—48no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—42no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—42no—
675C2×C4—41no—
676C2×C4—48no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—816no—
687C2×C4—84no—
688C2×C4—816no—
689C2×C4—84no—
690C2×C4—164no—
691C2×C4C2×C4×D412yes—
692C2×C4C2×C4×D412yes—
693C2×C4C2×C4×D412yes—
694C2×C4C2×C4×D412yes—
695C2×C4C2×C4×D412yes—
696C2×C4C2×AGL(1,ℤ/8)14yes—
697C2×C4C2×AGL(1,ℤ/8)12yes—
698C2×C4#57512yes—
699C2×C4C24×C411yescharacteristic
700C2×C4C22×#4111yescharacteristic
701C2×C4C2×H(5,𝔽2)12yes—
702C2×C4#58512yes—
703C8—28no—
704C8—42no—
705C8—42no—
706C22—22no—
707C22—22no—
708C22—22no—
709C22—22no—
710C22—22no—
711C22—22no—
712C22—48no—
713C22—42no—
714C22—42no—
715C22—48no—
716C22—42no—
717C22—48no—
718C22—832no—
719C22—84no—
720C22—81no—
721C22—81no—
722C22—84no—
723C22—81no—
724C22—84no—
725C22—81no—
726C22—84no—
727C22#294614yes—
728C22C22×C4×D411yescharacteristic
729C22#348411yescharacteristic
730C22#348711yescharacteristic
731C22C22×AGL(1,ℤ/8)11yescharacteristic
732C22C2×#57511yescharacteristic
733C22C2×#57611yescharacteristic
734C22C2×#57711yescharacteristic
735C4—24no—
736C4—22no—
737C4—22no—
738C4—22no—
739C4—22no—
740C4—42no—
741C4—44no—
742C4—42no—
743C4—42no—
744C4—42no—
745C4—42no—
746C4—42no—
747C4—82no—
748C4—82no—
749C4—82no—
750C4C4×AGL(1,ℤ/8)14yes—
751C4C4×H(5,𝔽2)12yes—
752C4#350612yes—
753C2—24no—
754C2—82no—
755C2—88no—
756C2#3426511yescharacteristic
757C2C2×C4×AGL(1,ℤ/8)11yescharacteristic
758C2C2×#294611yescharacteristic
759C2#6160011yescharacteristic
760C2#6160511yescharacteristic
761C2#6190411yescharacteristic
762C2#6190711yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutatorC2×C4C24×C4
Frattini, cosocleC22×C4C25
prime radicalC2×#3217C2
LCSG ▷ C2×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
2. #34243C2semidirect
3. C2×#2366C2semidirect
4. #23231C2semidirect
5. #23193C2semidirect
6. #23101C2semidirect
7. #23093C2semidirect
8. #23001C2semidirect
9. #22997C2semidirect
10. #22049C2semidirect
11. #22040C2semidirect
12. #21803C2semidirect
13. #21452C2semidirect
14. C4×#450C2semidirect
15. #21388C2semidirect
16. #21365C2semidirect
17. #20535C2semidirect
22. #3217C4semidirect
29. C2×#442C22semidirect
30. C2×C4×SD16C22semidirect
33. #2370C22semidirect
34. #2367C22semidirect
42. #2355C22semidirect
43. #2354C22semidirect
45. Q8×C4⋊C4C22semidirect
47. D4×C4⋊C4C22semidirect
59. #1989C22semidirect
60. #1983C22semidirect
62. #1973C22semidirect
63. #1970C22semidirect
66. #1948C22semidirect
67. #1947C22semidirect
68. #1936C22semidirect
69. #1934C22semidirect
70. #1925C22semidirect
71. #1925C22semidirect
72. #1880C22semidirect
73. #1879C22semidirect
74. #1879C22semidirect
75. #1877C22semidirect
80. #1864C22semidirect
81. #1864C22semidirect
86. #1776C22semidirect
87. #1771C22semidirect
88. #1770C22semidirect
89. C8×C4⋊C4C22semidirect
90. #1762C22semidirect
91. C4×#103C22semidirect
92. C4×#102C22semidirect
93. C4×#102C22semidirect
105. C2×#127C2×C4semidirect
109. #529C2×C4semidirect
145. #496C2×C4semidirect
146. #490C2×C4semidirect
147. #460C2×C4semidirect
148. #459C2×C4semidirect
149. #450C2×C4semidirect
150. #447C2×C4semidirect
153. #432C2×C4semidirect
281. C2×SD16C22×C4semidirect
284. C2×D8C22×C4semidirect
296. #125C22×C4semidirect
298. #124C22×C4semidirect
306. C4×Q8C22×C4semidirect
320. C4×D4C22×C4semidirect
394. C4⋊C8C22×C4semidirect
403. #102C22×C4semidirect
404. #102C22×C4semidirect
409. #97C22×C4semidirect

Maximal subgroups

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

subgroupindex
C2×#32172
#342432
C2×#23662
#232312
#231932
#231012
#230932
#230012
#229972
#220492
#220402
#218032
#214522
C4×#4502
#213882
#213652
#205352