Finite Group Databasebeta

← #6970954

Subgroups — #6970954

Order 512.

2111 conjugacy classes of subgroups.

The subgroup lattice has 780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36260C211yesmaximal, characteristic
2#36134C211yesmaximal, characteristic, complemented
3#32773C212yesmaximal, complemented
4#31932C214yesmaximal, complemented
5#30988C214yesmaximal, complemented
6#30203C211yesmaximal, characteristic, complemented
7#29952C212yesmaximal, complemented
8#29661C212yesmaximal, complemented
9#29139C211yesmaximal, characteristic, complemented
10#28374C211yesmaximal, characteristic, complemented
11#24813C212yesmaximal, complemented
12#24728C212yesmaximal, complemented
13#24240C212yesmaximal, complemented
14#24120C212yesmaximal, complemented
15#23933C212yesmaximal, complemented
16#23799C211yesmaximal, characteristic, complemented
17#22008C211yesmaximal, characteristic, complemented
18C2×#547C2211yescharacteristic
19C2×#546—21no—
20C2×#546—21no—
21C2×D42C2211yescharacteristic
22C2×#533C2212yescomplemented
23C2×#475C2212yescomplemented
24C2×#460C2212yes—
25C2×#460C2214yescomplemented
26C2×#450C2214yes—
27C2×C4×SD16C2212yes—
28C2×C4×SD16C2212yescomplemented
29#2868C2211yescharacteristic, complemented
30#2858C2211yescharacteristic
31#2857C2212yescomplemented
32#2856C2212yes—
33#2552—21no—
34#2542—21no—
35#2542C2211yescharacteristic
36#2541C2211yescharacteristic
37#2540—21no—
38#2540—21no—
39#2539—22no—
40#2539—22no—
41#2538C2212yes—
42#2501C2212yes—
43#2441—22no—
44#2433C2212yes—
45#2429—22no—
46#2423C2214yescomplemented
47#2365—21no—
48#2354—21no—
49Q8×C4⋊C4C2212yescomplemented
50C4×C4⋊Q8C2211yescharacteristic, complemented
51C4×#127C2211yescharacteristic
52C2×#390C2212yes—
53C42×D4C2211yescharacteristic
54#2096C2212yescomplemented
55#2094C2211yescharacteristic
56#2094C2212yescomplemented
57#2094C2211yescharacteristic, complemented
58#2084C2214yescomplemented
59#2071C2214yescomplemented
60#2065C2214yes—
61#2065C2214yescomplemented
62#2041C2214yescomplemented
63#2034C2214yes—
64#2034C2214yescomplemented
65#2023C2212yes—
66#2023C2212yescomplemented
67#2023C2212yescomplemented
68#2023C2212yescomplemented
69#2014C2212yes—
70#2013C2211yescharacteristic
71#2013C2212yescomplemented
72#2013C2211yescharacteristic, complemented
73#2000C2214yes—
74#2000C2214yescomplemented
75#1990C2212yescomplemented
76#1968C2214yescomplemented
77#1957C2212yes—
78#1957C2212yes—
79#1954C2212yes—
80#1939C2212yescomplemented
81#1923C2214yescomplemented
82#1880C2214yes—
83#1880C2214yescomplemented
84#1872C2214yescomplemented
85#1853C2214yescomplemented
86#1834C2212yescomplemented
87#1817C2212yescomplemented
88#1803C2214yescomplemented
89#1802C2212yes—
90#1802C2212yescomplemented
91#1797C2212yescomplemented
92#1786C2214yes—
93C4×C4⋊C8C2211yescharacteristic, complemented
94#1744C2211yescharacteristic, complemented
95C22×#41—21no—
96C23×D4—21no—
97C23×D4C2312yes—
98C22×SD16C2312yes—
99C22×SD16C2314yes—
100C22×SD16C2312yes—
101#547—44no—
102#546—48no—
103#546—48no—
104D42—44no—
105#533—48no—
106C2×C4⋊Q8—21no—
107C2×C4⋊Q8—21no—
108C2×C4⋊Q8C2311yescharacteristic
109C2×C4⋊Q8C2311yescharacteristic
110C2×C4⋊Q8C2312yes—
111C2×#127C2311yescharacteristic
112C2×#127C2311yescharacteristic
113C2×#127C2312yes—
114C2×#125—22no—
115C2×#124—21no—
116C2×#124—21no—
117C2×#123—22no—
118C2×#123—22no—
119C2×#123—22no—
120C2×C22⋊Q8—22no—
121C2×C22⋊Q8—22no—
122C2×C22⋊Q8—21no—
123C2×C22⋊Q8—21no—
124C2×C22⋊Q8—21no—
125C2×C22⋊Q8C2314yes—
126C2×#121—22no—
127C2×#121—22no—
128C2×#121—21no—
129C2×#121—21no—
130C2×#121—21no—
131C2×#121C2312yes—
132C2×#121C2312yes—
133C2×#120—22no—
134C2×#120—22no—
135C2×#120—22no—
136C2×C4×Q8—22no—
137C2×C4×Q8C2312yes—
138C2×C4×Q8C2314yes—
139C2×C4×D4—21no—
140C2×C4×D4—21no—
141C2×C4×D4D411yescharacteristic
142C2×C4×D4D411yescharacteristic
143C2×C4×D4C2311yescharacteristic
144C2×C4×D4C2311yescharacteristic
145C2×C4×D4C2311yescharacteristic
146C2×#117—22no—
147C22×C4⋊C4C2312yes—
148C22×C22⋊C4—22no—
149C22×C22⋊C4—22no—
150C22×C42C2312yes—
151#475—44no—
152#460—44no—
153#460—48no—
154#450—48no—
155C4×SD16—44no—
156C4×SD16—44no—
157C2×#106C2314yes—
158C2×#106C2312yes—
159C2×#106C2312yes—
160C2×C4⋊C8C2312yes—
161C2×C4⋊C8C2314yes—
162C2×#103C2314yes—
163C2×#103C2312yes—
164C2×#103C2312yes—
165C2×#102C2314yes—
166C2×#102C2314yes—
167C2×#102C2312yes—
168C2×#102C2314yes—
169C2×#102C2314yes—
170C2×#102C2314yes—
171C2×#102C2312yes—
172C2×C22⋊C8C2314yes—
173C2×C22⋊C8C2314yes—
174C2×C4×C8C2312yes—
175C2×C4×C8C2312yes—
176#399—24no—
177#399—22no—
178#399—22no—
179#399—22no—
180#398—24no—
181#396—24no—
182#392—22no—
183#392—22no—
184#392—22no—
185#391—22no—
186#391C2312yes—
187#390—22no—
188#390—21no—
189#390—21no—
190#390—22no—
191#390—22no—
192#390—21no—
193#390—21no—
194#390—22no—
195#390—22no—
196#390C2311yescharacteristic
197#390C2311yescharacteristic
198#390C2312yes—
199#390C2312yes—
200#390C2312yes—
201#390C2312yes—
202#389—22no—
203#389—21no—
204#389—21no—
205#389—22no—
206#389—24no—
207#389C2314yes—
208#388—24no—
209#387—24no—
210#384—22no—
211#384—21no—
212#384—21no—
213#384C2311yescharacteristic
214#384C2311yescharacteristic
215#384C2312yes—
216#384C2312yes—
217#384C2312yes—
218#380—22no—
219#380C2314yes—
220C4×C4⋊C4—22no—
221C4×C4⋊C4—21no—
222C4×C4⋊C4—21no—
223C4×C4⋊C4D411yescharacteristic
224C4×C4⋊C4D411yescharacteristic
225C4×C4⋊C4C2311yescharacteristic
226C4×C22⋊C4D412yes—
227C4×C22⋊C4D412yes—
228C4×C22⋊C4C2312yes—
229C43C2311yescharacteristic
230#340C2314yes—
231#340C2314yes—
232#340C2314yes—
233#340C2314yes—
234#336C2311yescharacteristic
235#336C2312yes—
236#336C2312yes—
237#336C2311yescharacteristic
238#336C2314yes—
239C25—22no—
240C2×#41—44no—
241C2×#41—44no—
242C2×#41—44no—
243C22×Q8—22no—
244C22×Q8—21no—
245C22×Q8C2412yes—
246C22×D4—24no—
247C22×D4—22no—
248C22×D4—22no—
249C22×D4—21no—
250C22×D4—21no—
251C22×D4—21no—
252C22×D4—22no—
253C22×D4—21no—
254C22×D4—22no—
255C22×D4—22no—
256C22×D4—44no—
257C22×D4—42no—
258C22×D4—44no—
259C22×D4—44no—
260C22×D4—44no—
261C22×D4—44no—
262C22×D4C2×D411yescharacteristic
263C22×D4C2411yescharacteristic
264C22×D4C2412yes—
265C22×D4C2411yescharacteristic
266C23×C4—22no—
267C23×C4—21no—
268C23×C4—21no—
269C23×C4C2×D412yes—
270C23×C4C2×D412yes—
271C23×C4C2412yes—
272C2×SD16—24no—
273C2×SD16—24no—
274C2×SD16—24no—
275C2×SD16—28no—
276C2×SD16—42no—
277C2×SD16—42no—
278C2×SD16—42no—
279C2×SD16—44no—
280C2×SD16—44no—
281C22×C8C2412yes—
282C22×C8C2412yes—
283C22×C8C2414yes—
284C4⋊Q8—24no—
285C4⋊Q8—24no—
286C4⋊Q8—44no—
287C4⋊Q8—44no—
288C4⋊Q8—82no—
289#127—22no—
290#127—24no—
291#127—41no—
292#127—44no—
293#125—48no—
294#124—44no—
295#124—44no—
296#123—48no—
297#123—48no—
298#123—48no—
299C22⋊Q8—28no—
300C22⋊Q8—44no—
301C22⋊Q8—48no—
302C22⋊Q8—44no—
303C22⋊Q8—44no—
304C22⋊Q8—44no—
305C22⋊Q8—84no—
306#121—44no—
307#121—44no—
308#121—44no—
309#121—44no—
310#121—48no—
311#121—48no—
312#121—44no—
313#120—48no—
314#120—48no—
315#120—48no—
316C4×Q8—28no—
317C4×Q8—24no—
318C4×Q8—24no—
319C4×Q8—44no—
320C4×Q8—48no—
321C4×D4—24no—
322C4×D4—24no—
323C4×D4—24no—
324C4×D4—24no—
325C4×D4—44no—
326C4×D4—44no—
327C4×D4SD1618yescomplemented
328#117—48no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—24no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—21no—
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—44no—
349C2×C4⋊C4C2×D411yescharacteristic
350C2×C4⋊C4C2×D411yescharacteristic
351C2×C4⋊C4C2×D411yescharacteristic
352C2×C4⋊C4C2411yescharacteristic
353C2×C4⋊C4C2412yes—
354C2×C4⋊C4C2411yescharacteristic
355C2×C4⋊C4C2414yes—
356C2×C4⋊C4C2412yes—
357C2×C22⋊C4—24no—
358C2×C22⋊C4—21no—
359C2×C22⋊C4—21no—
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—21no—
367C2×C22⋊C4—21no—
368C2×C22⋊C4—21no—
369C2×C22⋊C4—21no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—24no—
375C2×C22⋊C4—48no—
376C2×C22⋊C4—48no—
377C2×C22⋊C4C2×D412yes—
378C2×C22⋊C4C2×D412yes—
379C2×C22⋊C4C2×D412yes—
380C2×C42—24no—
381C2×C42—22no—
382C2×C42—44no—
383C2×C42C2×D412yes—
384C2×C42C2×D412yes—
385C2×C42C2×D411yescharacteristic
386C2×C42C2×D411yescharacteristic
387C2×C42C2×D411yescharacteristic
388C2×C42C2×D411yescharacteristic
389C2×C42C2412yes—
390C2×C42C2411yescharacteristic
391C2×C42C2411yescharacteristic
392C2×C42C2411yescharacteristic
393#106—42no—
394#106—42no—
395#106—44no—
396C4⋊C8—24no—
397C4⋊C8—44no—
398#103—42no—
399#103—42no—
400#103—44no—
401#102—42no—
402#102—42no—
403#102—44no—
404#102—44no—
405#102—44no—
406#102—44no—
407#102—44no—
408C22⋊C8—44no—
409C22⋊C8—44no—
410C4×C8—24no—
411C4×C8—42no—
412#95—24no—
413#95—22no—
414#95—22no—
415#95—24no—
416#95C2×D412yes—
417#95C2×D412yes—
418#95C2×D412yes—
419C24—21no—
420C24—22no—
421C24—21no—
422C24—44no—
423C24—44no—
424C24—44no—
425C24—44no—
426C24—82no—
427C24—82no—
428C24—82no—
429C24C22×D412yes—
430#41—816no—
431C2×Q8—22no—
432C2×Q8—22no—
433C2×Q8—22no—
434C2×Q8—22no—
435C2×Q8—22no—
436C2×Q8—44no—
437C2×Q8—44no—
438C2×Q8—42no—
439C2×Q8—42no—
440C2×Q8—42no—
441C2×Q8—44no—
442C2×Q8H(5,𝔽2)14yes—
443C2×D4—22no—
444C2×D4—22no—
445C2×D4—22no—
446C2×D4—22no—
447C2×D4—22no—
448C2×D4—24no—
449C2×D4—22no—
450C2×D4—24no—
451C2×D4—21no—
452C2×D4—22no—
453C2×D4—21no—
454C2×D4—21no—
455C2×D4—22no—
456C2×D4—42no—
457C2×D4—42no—
458C2×D4—44no—
459C2×D4—44no—
460C2×D4—44no—
461C2×D4—44no—
462C2×D4—44no—
463C2×D4—44no—
464C2×D4—44no—
465C2×D4—44no—
466C2×D4—44no—
467C2×D4—42no—
468C2×D4—42no—
469C2×D4—42no—
470C2×D4—42no—
471C2×D4—44no—
472C2×D4—42no—
473C2×D4—42no—
474C2×D4—81no—
475C2×D4—81no—
476C2×D4—82no—
477C2×D4—82no—
478C2×D4—82no—
479C2×D4—81no—
480C2×D4—81no—
481C2×D4—82no—
482C2×D4—82no—
483C2×D4—88no—
484C2×D4—88no—
485C2×D4—816no—
486C2×D4C2×SD1614yes—
487C2×D42−1+412yes—
488C22×C4—22no—
489C22×C4—24no—
490C22×C4—24no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—24no—
494C22×C4—22no—
495C22×C4—24no—
496C22×C4—21no—
497C22×C4—22no—
498C22×C4—21no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—44no—
504C22×C4—44no—
505C22×C4—44no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4C2×SD1618yes—
513C22×C4C22×D412yes—
514C22×C4C22×D412yes—
515C22×C4C22×D411yescharacteristic
516C22×C4C22×D412yes—
517C22×C4C22×D411yescharacteristic
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C2511yescharacteristic
523SD16—48no—
524SD16—48no—
525SD16—88no—
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—22no—
529C2×C8—24no—
530C2×C8—22no—
531C2×C8—24no—
532C2×C8—22no—
533C2×C8—24no—
534C2×C8—22no—
535C4⋊C4—24no—
536C4⋊C4—24no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—24no—
541C4⋊C4—24no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—24no—
545C4⋊C4—22no—
546C4⋊C4—48no—
547C4⋊C4—48no—
548C4⋊C4—42no—
549C4⋊C4—44no—
550C4⋊C4—44no—
551C4⋊C4—44no—
552C4⋊C4—42no—
553C4⋊C4—44no—
554C4⋊C4—42no—
555C4⋊C4—42no—
556C4⋊C4—44no—
557C4⋊C4—42no—
558C4⋊C4—44no—
559C4⋊C4—44no—
560C4⋊C4—84no—
561C4⋊C4—82no—
562C4⋊C4—82no—
563C4⋊C4C2×SD1614yes—
564C22⋊C4—24no—
565C22⋊C4—24no—
566C22⋊C4—48no—
567C22⋊C4—44no—
568C22⋊C4—44no—
569C22⋊C4—44no—
570C22⋊C4—44no—
571C22⋊C4—42no—
572C22⋊C4—42no—
573C22⋊C4—42no—
574C22⋊C4—44no—
575C22⋊C4—44no—
576C22⋊C4—44no—
577C22⋊C4—42no—
578C22⋊C4—44no—
579C22⋊C4—42no—
580C22⋊C4—44no—
581C22⋊C4—42no—
582C22⋊C4—44no—
583C22⋊C4—84no—
584C22⋊C4C2×SD1618yes—
585C42—24no—
586C42—22no—
587C42—21no—
588C42—21no—
589C42—42no—
590C42—42no—
591C42—41no—
592C42—41no—
593C42—48no—
594C42—44no—
595C42C2×SD1614yes—
596C42AGL(1,ℤ/8)14yes—
597C42H(5,𝔽2)14yes—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—42no—
613C23—41no—
614C23—42no—
615C23—41no—
616C23—42no—
617C23—41no—
618C23—42no—
619C23—41no—
620C23—42no—
621C23—42no—
622C23—41no—
623C23—42no—
624C23—41no—
625C23—88no—
626C23—88no—
627C23—88no—
628C23—88no—
629C23—164no—
630C23—164no—
631C23—164no—
632C23C22×SD1614yes—
633C23C23×D411yescharacteristic
634Q8—24no—
635Q8—24no—
636Q8—42no—
637Q8—42no—
638Q8—88no—
639Q8—84no—
640D4—28no—
641D4—24no—
642D4—42no—
643D4—44no—
644D4—42no—
645D4—42no—
646D4—44no—
647D4—84no—
648D4—84no—
649D4—88no—
650D4—88no—
651D4—88no—
652D4—84no—
653D4—164no—
654D4—162no—
655D4—164no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—24no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—48no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—42no—
681C2×C4—44no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—42no—
687C2×C4—44no—
688C2×C4—41no—
689C2×C4—42no—
690C2×C4—41no—
691C2×C4—41no—
692C2×C4—42no—
693C2×C4—41no—
694C2×C4—44no—
695C2×C4—84no—
696C2×C4—88no—
697C2×C4—84no—
698C2×C4—84no—
699C2×C4#53512yes—
700C2×C4#53512yes—
701C2×C4C22×SD1612yes—
702C2×C4C22×SD1612yes—
703C2×C4C22×SD1614yes—
704C2×C4C22×SD1612yes—
705C2×C4C2×AGL(1,ℤ/8)12yes—
706C2×C4C2×AGL(1,ℤ/8)12yes—
707C2×C4C2×AGL(1,ℤ/8)12yes—
708C2×C4C2×H(5,𝔽2)12yes—
709C2×C4C2×H(5,𝔽2)12yes—
710C2×C4C2×2−1+411yescharacteristic
711C2×C4#58511yescharacteristic
712C8—42no—
713C8—42no—
714C8—44no—
715C22—24no—
716C22—24no—
717C22—24no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—42no—
725C22—81no—
726C22—81no—
727C22—81no—
728C22—81no—
729C22—81no—
730C22—82no—
731C22—81no—
732C22—82no—
733C22—81no—
734C22—82no—
735C22—81no—
736C22—82no—
737C22—82no—
738C22—81no—
739C22—81no—
740C22—82no—
741C22—82no—
742C22—81no—
743C22—1616no—
744C22C2×#53511yescharacteristic
745C22#348411yescharacteristic
746C22#348911yescharacteristic
747C22C23×SD1611yescharacteristic
748C22C22×AGL(1,ℤ/8)11yescharacteristic
749C22#358511yescharacteristic
750C22#358611yescharacteristic
751C4—22no—
752C4—24no—
753C4—22no—
754C4—22no—
755C4—22no—
756C4—22no—
757C4—42no—
758C4—42no—
759C4—44no—
760C4—81no—
761C4—81no—
762C4—82no—
763C4—84no—
764C4—82no—
765C4#320814yes—
766C4#353612yes—
767C4#354212yes—
768C2—44no—
769C2—82no—
770C2—161no—
771C2—162no—
772C2#4247811yescharacteristic
773C2C2×#320811yescharacteristic
774C2#6082911yescharacteristic
775C2#6156211yescharacteristic
776C2#6158711yescharacteristic
777C2#6209611yescharacteristic
778C2#6210911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36260C2
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
2. #36134C2semidirect
3. #32773C2semidirect
4. #31932C2semidirect
5. #30988C2semidirect
6. #30203C2semidirect
7. #29952C2semidirect
8. #29661C2semidirect
9. #29139C2semidirect
10. #28374C2semidirect
11. #24813C2semidirect
12. #24728C2semidirect
13. #24240C2semidirect
14. #24120C2semidirect
15. #23933C2semidirect
16. #23799C2semidirect
17. #22008C2semidirect
22. C2×#533C22semidirect
23. C2×#475C22semidirect
25. C2×#460C22semidirect
28. C2×C4×SD16C22semidirect
29. #2868C22semidirect
31. #2857C22semidirect
46. #2423C22semidirect
49. Q8×C4⋊C4C22semidirect
50. C4×C4⋊Q8C22semidirect
54. #2096C22semidirect
56. #2094C22semidirect
57. #2094C22semidirect
58. #2084C22semidirect
59. #2071C22semidirect
61. #2065C22semidirect
62. #2041C22semidirect
64. #2034C22semidirect
66. #2023C22semidirect
67. #2023C22semidirect
68. #2023C22semidirect
71. #2013C22semidirect
72. #2013C22semidirect
74. #2000C22semidirect
75. #1990C22semidirect
76. #1968C22semidirect
80. #1939C22semidirect
81. #1923C22semidirect
83. #1880C22semidirect
84. #1872C22semidirect
85. #1853C22semidirect
86. #1834C22semidirect
87. #1817C22semidirect
88. #1803C22semidirect
90. #1802C22semidirect
91. #1797C22semidirect
93. C4×C4⋊C8C22semidirect
94. #1744C22semidirect
327. C4×D4SD16semidirect

Maximal subgroups

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

subgroupindex
#362602
#361342
#327732
#319322
#309882
#302032
#299522
#296612
#291392
#283742
#248132
#247282
#242402
#241202
#239332
#237992
#220082