Finite Group Databasebeta

← #6564375

Subgroups — #6564375

Order 512.

2521 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×#3294C212yesmaximal, complemented
2#36179C211yesmaximal, characteristic, complemented
3#34310C211yesmaximal, characteristic, complemented
4#29864C211yesmaximal, characteristic, complemented
5#29712C212yesmaximal, complemented
6#28716C211yesmaximal, characteristic, complemented
7#28572C212yesmaximal, complemented
8#28156C211yesmaximal, characteristic, complemented
9#27644C212yesmaximal, complemented
10#25318C212yesmaximal, complemented
11#25200C214yesmaximal, complemented
12#24676C212yesmaximal, complemented
13#24526C214yesmaximal, complemented
14#23676C211yesmaximal, characteristic, complemented
15C2×#2071C212yesmaximal, complemented
16#22696C211yesmaximal, characteristic, complemented
17#22485C212yesmaximal, complemented
18C2×#547—21no—
19C2×#547—21no—
20C2×#547C2212yes—
21C2×D42C2211yescharacteristic
22C2×#518—21no—
23#3294—216no—
24C2×#486C2212yes—
25C2×#480C2214yes—
26C2×#474C2212yes—
27C2×#466C2214yes—
28C2×#459C2212yes—
29C2×#447C2214yes—
30C2×C4×D8C2212yes—
31C2×C8×D4C2212yes—
32C22×#102C2214yes—
33#2868C2211yescharacteristic, complemented
34#2856C2212yescomplemented
35#2542—21no—
36#2542—21no—
37#2542C2212yescomplemented
38#2501—22no—
39#2501—22no—
40#2501C2214yescomplemented
41#2366C2211yescharacteristic
42#2363—21no—
43#2361C2212yes—
44#2358—22no—
45#2354C2211yescharacteristic
46D4×C4⋊C4C2211yescharacteristic
47D4×C22⋊C4—21no—
48D4×C22⋊C4C2212yes—
49#2324—21no—
50#2321—22no—
51C4×#127C2211yescharacteristic
52C4×#127C2211yescharacteristic, complemented
53C4×#121C2212yes—
54#2293C2211yescharacteristic
55C2×#390C2212yes—
56C2×#384C2212yescomplemented
57C42×D4C2211yescharacteristic
58#2083C2212yescomplemented
59#2083C2211yescharacteristic, complemented
60#2083C2212yescomplemented
61#2071C2212yes—
62#2071C2211yescharacteristic
63#2071C2214yes—
64#2071C2212yes—
65#2071C2212yescomplemented
66#2071C2212yescomplemented
67#2071C2214yescomplemented
68#2071C2212yescomplemented
69#2067C2212yescomplemented
70#2054C2214yes—
71#2054C2212yes—
72#2054C2214yescomplemented
73#2041C2211yescharacteristic, complemented
74#2011C2211yescharacteristic
75#2011C2212yescomplemented
76#1990C2212yescomplemented
77#1988C2212yescomplemented
78#1947C2214yescomplemented
79#1939C2212yescomplemented
80#1925C2214yescomplemented
81#1893C2214yescomplemented
82#1879C2214yescomplemented
83#1879C2214yescomplemented
84#1874C2214yescomplemented
85#1850C2214yescomplemented
86#1831C2211yescharacteristic, complemented
87#1823C2214yescomplemented
88#1802C2214yescomplemented
89#1802C2212yescomplemented
90#1802C2214yescomplemented
91#1797C2212yescomplemented
92C4×C4⋊C8C2211yescharacteristic, complemented
93C4×#102C2212yescomplemented
94C2×#340C2214yescomplemented
95C2×#336C2212yescomplemented
96C22×#41—22no—
97C23×D4—21no—
98C23×D4C2312yes—
99C22×D8C2312yes—
100C22×D8C2314yes—
101C23×C8C2314yes—
102#547—28no—
103#547—28no—
104#547—48no—
105#547—48no—
106D42—24no—
107D42D418yescomplemented
108C2×C4⋊Q8—21no—
109C2×C4⋊Q8—21no—
110C2×C4⋊Q8C2312yes—
111C2×#127C2311yescharacteristic
112C2×#127C2311yescharacteristic
113C2×#123—24no—
114C2×#123—24no—
115C2×#123—24no—
116C2×C22⋊Q8—22no—
117C2×C22⋊Q8—22no—
118C2×C22⋊Q8—22no—
119C2×#121—22no—
120C2×#121—22no—
121C2×#121—21no—
122C2×#121C2314yes—
123C2×#121C2312yes—
124C2×#120—22no—
125#518—48no—
126C2×C4×D4—21no—
127C2×C4×D4—22no—
128C2×C4×D4—21no—
129C2×C4×D4—22no—
130C2×C4×D4—21no—
131C2×C4×D4—21no—
132C2×C4×D4—21no—
133C2×C4×D4—21no—
134C2×C4×D4D411yescharacteristic
135C2×C4×D4D411yescharacteristic
136C2×C4×D4C2312yes—
137C2×C4×D4C2311yescharacteristic
138C2×C4×D4C2312yes—
139C2×C4×D4C2312yes—
140C2×C4×D4C2311yescharacteristic
141C2×#117—21no—
142C2×#117—21no—
143C22×C4⋊C4—22no—
144C22×C4⋊C4—22no—
145C22×C4⋊C4C2314yes—
146C22×C4⋊C4C2312yes—
147C22×C22⋊C4—22no—
148C22×C22⋊C4—22no—
149C22×C22⋊C4—22no—
150C22×C42C2312yes—
151#486—28no—
152#480—216no—
153#474—28no—
154#466—216no—
155#459—28no—
156#447—216no—
157C4×D8—28no—
158C8×D4—28no—
159C2×#107C2312yes—
160C2×#107C2314yes—
161C2×C4⋊C8C2312yes—
162C2×C4⋊C8C2314yes—
163C2×C4⋊C8C2312yes—
164C2×#102—216no—
165C2×#102C2312yes—
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×#102C2314yes—
169C2×#102C2314yes—
170C2×#102C2312yes—
171C2×#102C2314yes—
172C2×#102C2312yes—
173C2×#102C2312yes—
174C2×C22⋊C8C2314yes—
175C2×C4×C8C2312yes—
176#399—24no—
177#399—24no—
178#399—24no—
179#390—21no—
180#390—21no—
181#390—21no—
182#390—21no—
183#390—21no—
184#390—22no—
185#390—22no—
186#390—22no—
187#390—22no—
188#390C2312yes—
189#390C2312yes—
190#390C2311yescharacteristic
191#390C2312yes—
192#390C2314yes—
193#390C2312yes—
194#390C2311yescharacteristic
195#389—21no—
196#389C2311yescharacteristic
197#389C2311yescharacteristic
198#388—21no—
199#388—22no—
200#388—21no—
201#388—22no—
202#388—22no—
203#386—22no—
204#386—22no—
205#386—22no—
206#386—22no—
207#386—22no—
208#385—22no—
209#385—22no—
210#384—21no—
211#384—21no—
212#384—22no—
213#384—22no—
214#384C2311yescharacteristic
215#384C2311yescharacteristic
216#384C2312yes—
217#384C2314yes—
218#384C2312yes—
219#380—21no—
220#380C2312yes—
221#379—22no—
222C4×C4⋊C4D411yescharacteristic
223C4×C4⋊C4D411yescharacteristic
224C4×C4⋊C4C2311yescharacteristic
225C4×C4⋊C4C2312yes—
226C4×C4⋊C4C2311yescharacteristic
227C4×C22⋊C4—21no—
228C4×C22⋊C4—22no—
229C4×C22⋊C4D412yes—
230C4×C22⋊C4D412yes—
231C4×C22⋊C4C2312yes—
232C43C2311yescharacteristic
233#340C2312yes—
234#340C2314yes—
235#340C2314yes—
236#340C2314yes—
237#340C2314yes—
238#340C2314yes—
239#340C2312yes—
240#336C2311yescharacteristic
241#336C2312yes—
242#336C2311yescharacteristic
243#336C2314yes—
244#336C2312yes—
245C25—22no—
246C2×#41—48no—
247C2×#41—48no—
248C2×#41—48no—
249C22×Q8—22no—
250C22×D4—22no—
251C22×D4—28no—
252C22×D4—24no—
253C22×D4—21no—
254C22×D4—21no—
255C22×D4—22no—
256C22×D4—21no—
257C22×D4—21no—
258C22×D4—24no—
259C22×D4—44no—
260C22×D4—44no—
261C22×D4—44no—
262C22×D4—44no—
263C22×D4C2×D418yes—
264C22×D4C2×D411yescharacteristic
265C22×D4C2412yes—
266C22×D4C2412yes—
267C22×D4C2411yescharacteristic
268C23×C4—21no—
269C23×C4—24no—
270C23×C4—22no—
271C23×C4—22no—
272C23×C4—22no—
273C23×C4—22no—
274C23×C4C2×D412yes—
275C23×C4C2×D412yes—
276C23×C4C2412yes—
277C2×D8—24no—
278C2×D8—28no—
279C2×D8—42no—
280C2×D8—42no—
281C2×D8—44no—
282C2×D8—44no—
283C22×C8—28no—
284C22×C8—44no—
285C22×C8—44no—
286C22×C8C2412yes—
287C22×C8C2414yes—
288C22×C8C2412yes—
289C4⋊Q8—24no—
290C4⋊Q8—24no—
291C4⋊Q8—44no—
292C4⋊Q8—44no—
293#127—22no—
294#127—42no—
295#127C2×D414yes—
296#123—416no—
297#123—416no—
298#123—416no—
299C22⋊Q8—48no—
300C22⋊Q8—48no—
301C22⋊Q8—48no—
302#121—24no—
303#121—28no—
304#121—28no—
305#121—28no—
306#121—48no—
307#121—48no—
308#121C2×D418yes—
309#120—216no—
310C4×D4—24no—
311C4×D4—24no—
312C4×D4—22no—
313C4×D4—24no—
314C4×D4—44no—
315C4×D4—44no—
316C4×D4—44no—
317C4×D4—44no—
318C4×D4—48no—
319C4×D4—44no—
320C4×D4—48no—
321C4×D4—44no—
322C4×D4—44no—
323C4×D4—82no—
324C4×D4D818yescomplemented
325C4×D4C2×D414yes—
326C4×D4C2×D414yes—
327C4×D4#4114yes—
328#117—44no—
329#117—44no—
330C2×C4⋊C4—28no—
331C2×C4⋊C4—28no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—24no—
337C2×C4⋊C4—24no—
338C2×C4⋊C4—24no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—22no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—44no—
348C2×C4⋊C4—48no—
349C2×C4⋊C4—48no—
350C2×C4⋊C4C2×D411yescharacteristic
351C2×C4⋊C4C2×D411yescharacteristic
352C2×C4⋊C4C2×D411yescharacteristic
353C2×C4⋊C4C2412yes—
354C2×C4⋊C4C2411yescharacteristic
355C2×C4⋊C4C2412yes—
356C2×C4⋊C4C2414yes—
357C2×C4⋊C4C2411yescharacteristic
358C2×C4⋊C4C2411yescharacteristic
359C2×C22⋊C4—21no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—21no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—21no—
365C2×C22⋊C4—21no—
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—24no—
373C2×C22⋊C4—24no—
374C2×C22⋊C4—24no—
375C2×C22⋊C4—22no—
376C2×C22⋊C4—22no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—21no—
380C2×C22⋊C4—48no—
381C2×C22⋊C4—48no—
382C2×C22⋊C4—84no—
383C2×C22⋊C4C2×D412yes—
384C2×C22⋊C4C2×D412yes—
385C2×C22⋊C4C2×D412yes—
386C2×C42—22no—
387C2×C42—21no—
388C2×C42—44no—
389C2×C42C2×D411yescharacteristic
390C2×C42C2×D411yescharacteristic
391C2×C42C2×D411yescharacteristic
392C2×C42C2×D412yes—
393C2×C42C2×D412yes—
394C2×C42C2×D411yescharacteristic
395C2×C42C2411yescharacteristic
396C2×C42C2412yes—
397C2×C42C2411yescharacteristic
398C2×C42C2411yescharacteristic
399#107—24no—
400#107—28no—
401C4⋊C8—24no—
402C4⋊C8—44no—
403C4⋊C8—42no—
404#102—24no—
405#102—28no—
406#102—28no—
407#102—28no—
408#102—28no—
409#102—24no—
410#102—42no—
411#102—44no—
412#102—42no—
413C22⋊C8—28no—
414C4×C8—24no—
415#95—21no—
416#95—22no—
417#95—21no—
418#95—22no—
419#95—21no—
420#95C2×D412yes—
421#95C2×D412yes—
422#95C2×D412yes—
423C24—21no—
424C24—22no—
425C24—28no—
426C24—22no—
427C24—44no—
428C24—44no—
429C24—82no—
430C24—82no—
431C24—82no—
432C24—82no—
433C24C22×D412yes—
434#41—832no—
435C2×Q8—44no—
436C2×Q8—44no—
437C2×Q8—44no—
438C2×D4—28no—
439C2×D4—24no—
440C2×D4—24no—
441C2×D4—28no—
442C2×D4—22no—
443C2×D4—21no—
444C2×D4—22no—
445C2×D4—22no—
446C2×D4—24no—
447C2×D4—24no—
448C2×D4—22no—
449C2×D4—22no—
450C2×D4—22no—
451C2×D4—22no—
452C2×D4—22no—
453C2×D4—22no—
454C2×D4—416no—
455C2×D4—42no—
456C2×D4—42no—
457C2×D4—42no—
458C2×D4—42no—
459C2×D4—44no—
460C2×D4—44no—
461C2×D4—432no—
462C2×D4—48no—
463C2×D4—48no—
464C2×D4—48no—
465C2×D4—42no—
466C2×D4—42no—
467C2×D4—42no—
468C2×D4—42no—
469C2×D4—88no—
470C2×D4—81no—
471C2×D4—81no—
472C2×D4—82no—
473C2×D4—82no—
474C2×D4#12114yes—
475C2×D4C2×D814yes—
476C2×D4AGL(1,ℤ/8)14yes—
477C2×D4C22×D412yes—
478C2×D4C22×D414yes—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—21no—
483C22×C4—24no—
484C22×C4—24no—
485C22×C4—21no—
486C22×C4—22no—
487C22×C4—21no—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—48no—
496C22×C4—48no—
497C22×C4—48no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—44no—
502C22×C4—44no—
503C22×C4—44no—
504C22×C4—82no—
505C22×C4—82no—
506C22×C4—82no—
507C22×C4—82no—
508C22×C4—82no—
509C22×C4—82no—
510C22×C4C2×D818yes—
511C22×C4C22×D411yescharacteristic
512C22×C4C22×D412yes—
513C22×C4C22×D411yescharacteristic
514C22×C4C22×D412yes—
515C22×C4C22×D414yes—
516C22×C4C22×D412yes—
517C22×C4C22×D411yescharacteristic
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D411yescharacteristic
521C22×C4C2×#4114yes—
522C22×C4C2511yescharacteristic
523D8—48no—
524D8—88no—
525C2×C8—22no—
526C2×C8—22no—
527C2×C8—24no—
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—24no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—24no—
534C2×C8—88no—
535C4⋊C4—22no—
536C4⋊C4—21no—
537C4⋊C4—22no—
538C4⋊C4—24no—
539C4⋊C4—22no—
540C4⋊C4—24no—
541C4⋊C4—22no—
542C4⋊C4—24no—
543C4⋊C4—22no—
544C4⋊C4—42no—
545C4⋊C4—44no—
546C4⋊C4—48no—
547C4⋊C4—44no—
548C4⋊C4—48no—
549C4⋊C4—44no—
550C4⋊C4—42no—
551C4⋊C4—44no—
552C4⋊C4—48no—
553C4⋊C4—42no—
554C4⋊C4—42no—
555C4⋊C4—42no—
556C4⋊C4—44no—
557C4⋊C4—82no—
558C4⋊C4—81no—
559C4⋊C4#12114yes—
560C4⋊C4C2×D814yes—
561C4⋊C4C22×D412yes—
562C22⋊C4—24no—
563C22⋊C4—24no—
564C22⋊C4—28no—
565C22⋊C4—44no—
566C22⋊C4—48no—
567C22⋊C4—44no—
568C22⋊C4—44no—
569C22⋊C4—48no—
570C22⋊C4—44no—
571C22⋊C4—42no—
572C22⋊C4—42no—
573C22⋊C4—44no—
574C22⋊C4—44no—
575C22⋊C4—44no—
576C22⋊C4—48no—
577C22⋊C4—42no—
578C22⋊C4—44no—
579C22⋊C4—81no—
580C22⋊C4—82no—
581C22⋊C4—82no—
582C22⋊C4—82no—
583C22⋊C4—82no—
584C22⋊C4#12118yes—
585C22⋊C4C2×D818yes—
586C42—22no—
587C42—22no—
588C42—24no—
589C42—22no—
590C42—22no—
591C42—42no—
592C42—42no—
593C42—41no—
594C42—44no—
595C42—42no—
596C42C2×D814yes—
597C42C22×D412yes—
598C42C2×#4112yes—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—24no—
605C23—41no—
606C23—42no—
607C23—42no—
608C23—41no—
609C23—42no—
610C23—41no—
611C23—41no—
612C23—42no—
613C23—41no—
614C23—42no—
615C23—41no—
616C23—42no—
617C23—416no—
618C23—42no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—88no—
626C23—88no—
627C23—164no—
628C23—164no—
629C23—164no—
630C23—164no—
631C23C2×#12114yes—
632C23C22×D814yes—
633C23C2×AGL(1,ℤ/8)14yes—
634C23C23×D411yescharacteristic
635Q8—88no—
636D4—24no—
637D4—28no—
638D4—416no—
639D4—42no—
640D4—42no—
641D4—44no—
642D4—42no—
643D4—42no—
644D4—42no—
645D4—48no—
646D4—88no—
647D4—84no—
648D4—84no—
649D4—84no—
650D4—816no—
651D4#459116yes—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—22no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—21no—
660C2×C4—22no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—28no—
665C2×C4—28no—
666C2×C4—21no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—48no—
674C2×C4—48no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—48no—
678C2×C4—41no—
679C2×C4—42no—
680C2×C4—44no—
681C2×C4—41no—
682C2×C4—42no—
683C2×C4—41no—
684C2×C4—42no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—42no—
688C2×C4—44no—
689C2×C4—42no—
690C2×C4—44no—
691C2×C4—41no—
692C2×C4—42no—
693C2×C4—816no—
694C2×C4—88no—
695C2×C4—164no—
696C2×C4—164no—
697C2×C4—164no—
698C2×C4C2×#12112yes—
699C2×C4C2×#12114yes—
700C2×C4C2×#12112yes—
701C2×C4C22×D814yes—
702C2×C4C22×D812yes—
703C2×C4C22×D812yes—
704C2×C4C22×D812yes—
705C2×C4C2×AGL(1,ℤ/8)12yes—
706C2×C4#57712yes—
707C2×C4C23×D411yescharacteristic
708C2×C4C22×#4111yescharacteristic
709C2×C4#58512yes—
710C2×C4#58512yes—
711C8—42no—
712C8—44no—
713C8—42no—
714C22—24no—
715C22—24no—
716C22—24no—
717C22—24no—
718C22—24no—
719C22—24no—
720C22—44no—
721C22—42no—
722C22—42no—
723C22—44no—
724C22—42no—
725C22—44no—
726C22—82no—
727C22—81no—
728C22—82no—
729C22—81no—
730C22—82no—
731C22—81no—
732C22—82no—
733C22—81no—
734C22—82no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22—82no—
739C22—82no—
740C22—82no—
741C22—1616no—
742C22C2×#45918yes—
743C22C22×#12111yescharacteristic
744C22#348511yescharacteristic
745C22#350011yescharacteristic
746C22C23×D811yescharacteristic
747C22C22×AGL(1,ℤ/8)11yescharacteristic
748C22C2×#57711yescharacteristic
749C22#358611yescharacteristic
750C4—22no—
751C4—22no—
752C4—22no—
753C4—24no—
754C4—22no—
755C4—24no—
756C4—42no—
757C4—41no—
758C4—42no—
759C4—82no—
760C4—81no—
761C4—82no—
762C4—84no—
763C4—81no—
764C4C2×#45914yes—
765C4#348512yes—
766C4#352112yes—
767C2—28no—
768C2—84no—
769C2—82no—
770C2—162no—
771C2#3600911yescharacteristic
772C2C22×#45911yescharacteristic
773C2#6042911yescharacteristic
774C2#6169411yescharacteristic
775C2#6172811yescharacteristic
776C2#6252911yescharacteristic
777C2#6258311yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
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×#3294C2semidirect
2. #36179C2semidirect
3. #34310C2semidirect
4. #29864C2semidirect
5. #29712C2semidirect
6. #28716C2semidirect
7. #28572C2semidirect
8. #28156C2semidirect
9. #27644C2semidirect
10. #25318C2semidirect
11. #25200C2semidirect
12. #24676C2semidirect
13. #24526C2semidirect
14. #23676C2semidirect
15. C2×#2071C2semidirect
16. #22696C2semidirect
17. #22485C2semidirect
33. #2868C22semidirect
34. #2856C22semidirect
37. #2542C22semidirect
40. #2501C22semidirect
52. C4×#127C22semidirect
56. C2×#384C22semidirect
58. #2083C22semidirect
59. #2083C22semidirect
60. #2083C22semidirect
65. #2071C22semidirect
66. #2071C22semidirect
67. #2071C22semidirect
68. #2071C22semidirect
69. #2067C22semidirect
72. #2054C22semidirect
73. #2041C22semidirect
75. #2011C22semidirect
76. #1990C22semidirect
77. #1988C22semidirect
78. #1947C22semidirect
79. #1939C22semidirect
80. #1925C22semidirect
81. #1893C22semidirect
82. #1879C22semidirect
83. #1879C22semidirect
84. #1874C22semidirect
85. #1850C22semidirect
86. #1831C22semidirect
87. #1823C22semidirect
88. #1802C22semidirect
89. #1802C22semidirect
90. #1802C22semidirect
91. #1797C22semidirect
92. C4×C4⋊C8C22semidirect
93. C4×#102C22semidirect
94. C2×#340C22semidirect
95. C2×#336C22semidirect
107. D42D4semidirect
324. C4×D4D8semidirect

Maximal subgroups

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

subgroupindex
C2×#32942
#361792
#343102
#298642
#297122
#287162
#285722
#281562
#276442
#253182
#252002
#246762
#245262
#236762
C2×#20712
#226962
#224852