Finite Group Databasebeta

← #6482031

Subgroups — #6482031

Order 512.

2173 conjugacy classes of subgroups.

The subgroup lattice has 771 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35236C211yesmaximal, characteristic
2C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
3#32982C212yesmaximal, complemented
4#32979C212yesmaximal, complemented
5#29894C212yesmaximal, complemented
6#29891C212yesmaximal, complemented
7#26310C214yesmaximal, complemented
8#26242C214yesmaximal, complemented
9#25014C212yesmaximal, complemented
10#25012C212yesmaximal, complemented
11#24971C212yesmaximal, complemented
12#24965C212yesmaximal, complemented
13#21981C211yesmaximal, characteristic, complemented
14#21867C211yesmaximal, characteristic, complemented
15#21788C211yesmaximal, characteristic, complemented
16#21388C211yesmaximal, characteristic, complemented
17#21365C211yesmaximal, characteristic, complemented
18C2×#529C2211yescharacteristic
19C22×C4×D4—21no—
20C22×C4×D4C2211yescharacteristic
21C23×C4⋊C4C2212yes—
22C2×#481C2214yescomplemented
23C2×#483C2214yescomplemented
24C2×#432C2211yescharacteristic
25C2×#431C2211yescharacteristic
26#2848C2212yes—
27#2847C2212yes—
28#2636—22no—
29#2562C2212yes—
30#2540C2212yes—
31#2538C2211yescharacteristic
32#2538C2211yescharacteristic
33#2537C2211yescharacteristic
34#2537C2211yescharacteristic
35#2487—21no—
36#2411—22no—
37#2408—21no—
38D4×C4⋊C4—21no—
39D4×C4⋊C4—21no—
40D4×C4⋊C4—22no—
41D4×C4⋊C4C2214yes—
42D4×C4⋊C4C2212yes—
43D4×C4⋊C4C2212yes—
44#2324—21no—
45#2324—21no—
46C2×#389—21no—
47C2×#385—22no—
48#2285C2211yescharacteristic
49C2×#384C2211yescharacteristic
50C2×#380C2212yes—
51C2×C4×C4⋊C4C2211yescharacteristic
52#2077C2214yescomplemented
53#2077C2214yescomplemented
54#2076C2214yescomplemented
55#2075C2214yescomplemented
56#2036C2214yescomplemented
57#2035C2214yescomplemented
58#2034C2214yescomplemented
59#2033C2214yescomplemented
60#1992C2212yescomplemented
61#1989C2212yescomplemented
62#1983C2212yescomplemented
63#1959C2212yescomplemented
64#1955C2214yes—
65#1954C2212yes—
66#1954C2212yes—
67#1948C2212yescomplemented
68#1948C2214yescomplemented
69#1947C2212yescomplemented
70#1874C2212yes—
71#1874C2211yescharacteristic
72#1874C2211yescharacteristic
73#1874C2214yescomplemented
74#1872C2212yes—
75#1872C2211yescharacteristic
76#1872C2211yescharacteristic
77#1872C2214yescomplemented
78#1853C2212yes—
79#1853C2212yes—
80#1853C2212yes—
81#1853C2214yescomplemented
82#1853C2214yescomplemented
83#1852C2212yes—
84#1844C2212yescomplemented
85#1834C2212yescomplemented
86#1824C2214yescomplemented
87#1823C2214yescomplemented
88#1803C2212yescomplemented
89#1802C2212yescomplemented
90#1779C2212yes—
91#1779C2212yes—
92#1776C2214yescomplemented
93C4×#103C2212yescomplemented
94C4×#102C2212yescomplemented
95C23×D4D411yescharacteristic
96C24×C4—22no—
97C24×C4C2312yes—
98#529—24no—
99#529—24no—
100C2×#126—21no—
101C2×#125C2311yescharacteristic
102C2×#124C2311yescharacteristic
103C2×#123—21no—
104C2×C22⋊Q8C2311yescharacteristic
105C2×C22⋊Q8C2312yes—
106C2×C22⋊Q8C2312yes—
107C2×#121—21no—
108C2×#121—21no—
109C2×#121C2311yescharacteristic
110C2×#121C2312yes—
111C2×#121C2312yes—
112C2×#120—22no—
113C2×C4×Q8C2311yescharacteristic
114C2×C4×D4—24no—
115C2×C4×D4—22no—
116C2×C4×D4—22no—
117C2×C4×D4—21no—
118C2×C4×D4—24no—
119C2×C4×D4—24no—
120C2×C4×D4—48no—
121C2×C4×D4D411yescharacteristic
122C2×C4×D4D411yescharacteristic
123C2×C4×D4D412yes—
124C2×C4×D4C2311yescharacteristic
125C2×C4×D4C2312yes—
126C2×C4×D4C2311yescharacteristic
127C2×C4×D4C2311yescharacteristic
128C2×#117—21no—
129C2×#117—21no—
130C22×C4⋊C4—22no—
131C22×C4⋊C4—22no—
132C22×C4⋊C4—22no—
133C22×C4⋊C4—21no—
134C22×C4⋊C4—21no—
135C22×C4⋊C4—48no—
136C22×C4⋊C4D411yescharacteristic
137C22×C4⋊C4C2311yescharacteristic
138C22×C4⋊C4C2314yes—
139C22×C4⋊C4C2314yes—
140C22×C4⋊C4C2311yescharacteristic
141C22×C4⋊C4C2312yes—
142C22×C22⋊C4—22no—
143C22×C22⋊C4D412yes—
144C22×C42—21no—
145C22×C42C2311yescharacteristic
146#483—48no—
147#481—48no—
148#432—24no—
149#431—24no—
150C2×#107C2314yes—
151C2×#106C2314yes—
152C2×#106C2314yes—
153C2×#106C2314yes—
154C2×C4⋊C8C2312yes—
155C2×C4⋊C8C2312yes—
156C2×#103C2312yes—
157C2×#103C2314yes—
158C2×#103C2312yes—
159C2×#102C2312yes—
160C2×#102C2314yes—
161C2×#102C2312yes—
162C2×C22⋊C8C2312yes—
163C2×C22⋊C8C2311yescharacteristic
164C2×C22⋊C8C2311yescharacteristic
165C2×C22⋊C8C2314yes—
166C2×C22⋊C8C2314yes—
167C2×C22⋊C8C2314yes—
168C2×C22⋊C8C2314yes—
169C2×#97C2312yes—
170C2×C4×C8C2312yes—
171#400—22no—
172#399—22no—
173#396—22no—
174#396—22no—
175#394—22no—
176#394—22no—
177#394—22no—
178#392—22no—
179#390—21no—
180#390—21no—
181#390—22no—
182#390—22no—
183#389—21no—
184#389—21no—
185#389—22no—
186#389—22no—
187#389—24no—
188#388—22no—
189#388—22no—
190#386—22no—
191#386—22no—
192#386—22no—
193#385—22no—
194#385—22no—
195#385—22no—
196#385—24no—
197#385—24no—
198#385—24no—
199#385—24no—
200#384—21no—
201#384—21no—
202#384C2312yes—
203#384C2311yescharacteristic
204#384C2312yes—
205#384C2311yescharacteristic
206#382—21no—
207#380—22no—
208#380—22no—
209#380—21no—
210#380—21no—
211#380—21no—
212#380C2312yes—
213#380C2312yes—
214#380C2312yes—
215#380C2312yes—
216#380C2314yes—
217#380C2314yes—
218#380C2312yes—
219#379—22no—
220C4×C4⋊C4—21no—
221C4×C4⋊C4—21no—
222C4×C4⋊C4—21no—
223C4×C4⋊C4C2312yes—
224C4×C4⋊C4C2312yes—
225C4×C4⋊C4C2312yes—
226C2×#95—21no—
227C2×#95—22no—
228#340C2314yes—
229#340C2314yes—
230#340C2312yes—
231#340C2314yes—
232#340C2312yes—
233#340C2314yes—
234#340C2314yes—
235#340C2312yes—
236#340C2314yes—
237#340C2312yes—
238C25C2×D412yes—
239C22×Q8C2411yescharacteristic
240C22×D4—24no—
241C22×D4—24no—
242C22×D4—21no—
243C22×D4—22no—
244C22×D4—22no—
245C22×D4—24no—
246C22×D4C2×D412yes—
247C22×D4C2×D411yescharacteristic
248C22×D4C2×D411yescharacteristic
249C22×D4C2411yescharacteristic
250C23×C4—21no—
251C23×C4—24no—
252C23×C4—24no—
253C23×C4—21no—
254C23×C4—22no—
255C23×C4—24no—
256C23×C4—24no—
257C23×C4—21no—
258C23×C4—44no—
259C23×C4—44no—
260C23×C4—48no—
261C23×C4—48no—
262C23×C4—84no—
263C23×C4C2×D411yescharacteristic
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D412yes—
266C23×C4C2×D412yes—
267C23×C4C2×D412yes—
268C23×C4C2412yes—
269C23×C4C2412yes—
270C23×C4C2411yescharacteristic
271C22×C8C2412yes—
272C22×C8C2412yes—
273C22×C8C2414yes—
274#126—44no—
275#125—22no—
276#125—22no—
277#124—22no—
278#124—22no—
279#123—44no—
280C22⋊Q8—22no—
281C22⋊Q8—22no—
282C22⋊Q8—44no—
283C22⋊Q8—44no—
284#121—22no—
285#121—22no—
286#121—44no—
287#121—44no—
288#121—44no—
289#121—44no—
290#120—84no—
291C4×Q8—22no—
292C4×Q8—22no—
293C4×D4—24no—
294C4×D4—24no—
295C4×D4—28no—
296C4×D4—22no—
297C4×D4—22no—
298C4×D4—24no—
299C4×D4—22no—
300C4×D4—22no—
301C4×D4—24no—
302C4×D4—22no—
303C4×D4—22no—
304C4×D4—416no—
305C4×D4—48no—
306C4×D4—48no—
307C4×D4—44no—
308#117—44no—
309#117—82no—
310C2×C4⋊C4—24no—
311C2×C4⋊C4—21no—
312C2×C4⋊C4—24no—
313C2×C4⋊C4—28no—
314C2×C4⋊C4—28no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—24no—
317C2×C4⋊C4—24no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—44no—
334C2×C4⋊C4—44no—
335C2×C4⋊C4—44no—
336C2×C4⋊C4—42no—
337C2×C4⋊C4—48no—
338C2×C4⋊C4—48no—
339C2×C4⋊C4—48no—
340C2×C4⋊C4—44no—
341C2×C4⋊C4—82no—
342C2×C4⋊C4C2×D411yescharacteristic
343C2×C4⋊C4C2×D411yescharacteristic
344C2×C4⋊C4C2×D412yes—
345C2×C4⋊C4C2414yes—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2411yescharacteristic
348C2×C4⋊C4C2411yescharacteristic
349C2×C4⋊C4C2412yes—
350C2×C4⋊C4C2412yes—
351C2×C4⋊C4C2412yes—
352C2×C22⋊C4—28no—
353C2×C22⋊C4—24no—
354C2×C22⋊C4—24no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—21no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—21no—
360C2×C22⋊C4—21no—
361C2×C22⋊C4—21no—
362C2×C22⋊C4—21no—
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×C22⋊C4—48no—
370C2×C22⋊C4C2×D412yes—
371C2×C22⋊C4C2×D412yes—
372C2×C22⋊C4C2×D412yes—
373C2×C22⋊C4C2×D412yes—
374C2×C42—21no—
375C2×C42—22no—
376C2×C42—22no—
377C2×C42—22no—
378C2×C42—44no—
379C2×C42C2×D411yescharacteristic
380C2×C42C2×D411yescharacteristic
381C2×C42#4114yes—
382C2×C42#4114yes—
383C2×C42C2411yescharacteristic
384C2×C42C2411yescharacteristic
385#107—44no—
386#106—28no—
387#106—44no—
388#106—44no—
389C4⋊C8—24no—
390C4⋊C8—24no—
391#103—24no—
392#103—42no—
393#103—44no—
394#102—24no—
395#102—42no—
396#102—44no—
397C22⋊C8—22no—
398C22⋊C8—22no—
399C22⋊C8—24no—
400C22⋊C8—44no—
401C22⋊C8—44no—
402C22⋊C8—44no—
403C22⋊C8—44no—
404#97—24no—
405C4×C8—24no—
406#95—22no—
407#95—22no—
408#95—24no—
409#95—24no—
410#95—22no—
411#95—22no—
412#95—22no—
413#95—22no—
414#95—22no—
415#95—22no—
416C24—24no—
417C24—24no—
418C24—24no—
419C24—24no—
420C24—24no—
421C24—21no—
422C24—42no—
423C24—42no—
424C24C22×D412yes—
425C24C22×D412yes—
426C24C22×D411yescharacteristic
427C2×Q8—21no—
428C2×Q8—21no—
429C2×Q8—22no—
430C2×Q8—22no—
431C2×D4—232no—
432C2×D4—24no—
433C2×D4—24no—
434C2×D4—24no—
435C2×D4—22no—
436C2×D4—22no—
437C2×D4—22no—
438C2×D4—22no—
439C2×D4—21no—
440C2×D4—21no—
441C2×D4—22no—
442C2×D4—22no—
443C2×D4—42no—
444C2×D4—42no—
445C2×D4—42no—
446C2×D4—44no—
447C2×D4—44no—
448C2×D4—82no—
449C2×D4—82no—
450C2×D4—82no—
451C2×D4—82no—
452C2×D4AGL(1,ℤ/8)14yes—
453C2×D4#13714yes—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—22no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—22no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—21no—
478C22×C4—24no—
479C22×C4—21no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—416no—
487C22×C4—416no—
488C22×C4—48no—
489C22×C4—48no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—44no—
494C22×C4—44no—
495C22×C4—42no—
496C22×C4—48no—
497C22×C4—48no—
498C22×C4—44no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—84no—
504C22×C4—84no—
505C22×C4—832no—
506C22×C4#12314yes—
507C22×C4#12314yes—
508C22×C4C22×D412yes—
509C22×C4C22×D412yes—
510C22×C4C22×D411yescharacteristic
511C22×C4C22×D411yescharacteristic
512C22×C4C22×D411yescharacteristic
513C22×C4C22×D411yescharacteristic
514C22×C4C22×D411yescharacteristic
515C22×C4C2×#4112yes—
516C22×C4C2×#4112yes—
517C22×C4C2511yescharacteristic
518C2×C8—22no—
519C2×C8—22no—
520C2×C8—24no—
521C2×C8—22no—
522C2×C8—24no—
523C2×C8—22no—
524C2×C8—22no—
525C2×C8—22no—
526C2×C8—24no—
527C4⋊C4—24no—
528C4⋊C4—24no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—24no—
537C4⋊C4—24no—
538C4⋊C4—24no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—24no—
542C4⋊C4—48no—
543C4⋊C4—48no—
544C4⋊C4—42no—
545C4⋊C4—44no—
546C4⋊C4—44no—
547C4⋊C4—42no—
548C4⋊C4—42no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—44no—
552C4⋊C4—42no—
553C4⋊C4—42no—
554C4⋊C4—82no—
555C4⋊C4—82no—
556C4⋊C4—81no—
557C4⋊C4—81no—
558C4⋊C4—82no—
559C4⋊C4—82no—
560C4⋊C4H(5,𝔽2)14yes—
561C22⋊C4—24no—
562C22⋊C4—24no—
563C22⋊C4—24no—
564C22⋊C4—24no—
565C22⋊C4—48no—
566C22⋊C4—42no—
567C22⋊C4—48no—
568C22⋊C4—44no—
569C22⋊C4—44no—
570C22⋊C4—44no—
571C22⋊C4—42no—
572C22⋊C4—42no—
573C22⋊C4—42no—
574C22⋊C4—42no—
575C22⋊C4—82no—
576C22⋊C4—82no—
577C22⋊C4—82no—
578C22⋊C4—82no—
579C22⋊C4—82no—
580C22⋊C4—82no—
581C42—44no—
582C42—42no—
583C42—44no—
584C42—82no—
585C42#12314yes—
586C42#12314yes—
587C42C2×#4112yes—
588C42C2×#4112yes—
589C42C2×#4112yes—
590C42C2×#4112yes—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—216no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—22no—
608C23—48no—
609C23—48no—
610C23—48no—
611C23—48no—
612C23—48no—
613C23—48no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23C2×#12312yes—
622C23C2×AGL(1,ℤ/8)14yes—
623C23C2×#13714yes—
624C23#57712yes—
625C23#57712yes—
626C23C23×D411yescharacteristic
627Q8—42no—
628Q8—42no—
629D4—216no—
630D4—28no—
631D4—28no—
632D4—42no—
633D4—42no—
634D4—84no—
635D4—164no—
636D4—164no—
637C2×C4—28no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—28no—
647C2×C4—24no—
648C2×C4—24no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—24no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—48no—
657C2×C4—48no—
658C2×C4—48no—
659C2×C4—48no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—44no—
663C2×C4—44no—
664C2×C4—44no—
665C2×C4—44no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—41no—
669C2×C4—42no—
670C2×C4—41no—
671C2×C4—44no—
672C2×C4—42no—
673C2×C4—41no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—44no—
677C2×C4—41no—
678C2×C4—42no—
679C2×C4—41no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—41no—
684C2×C4—44no—
685C2×C4—42no—
686C2×C4—41no—
687C2×C4—816no—
688C2×C4—816no—
689C2×C4—84no—
690C2×C4—88no—
691C2×C4—84no—
692C2×C4C2×#12312yes—
693C2×C4C2×#12312yes—
694C2×C4C2×#12312yes—
695C2×C4C2×#12312yes—
696C2×C4C2×#12312yes—
697C2×C4C2×AGL(1,ℤ/8)12yes—
698C2×C4C2×#13712yes—
699C2×C4C22×#4111yescharacteristic
700C2×C4C22×#4111yescharacteristic
701C2×C4C2×H(5,𝔽2)12yes—
702C2×C4#58512yes—
703C8—44no—
704C8—42no—
705C8—42no—
706C22—22no—
707C22—22no—
708C22—22no—
709C22—22no—
710C22—22no—
711C22—22no—
712C22—24no—
713C22—24no—
714C22—24no—
715C22—24no—
716C22—24no—
717C22—24no—
718C22—432no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—42no—
725C22—42no—
726C22—42no—
727C22—81no—
728C22—81no—
729C22—81no—
730C22—81no—
731C22—81no—
732C22—81no—
733C22—81no—
734C22#309914yes—
735C22C22×#12311yescharacteristic
736C22#348411yescharacteristic
737C22#348511yescharacteristic
738C22C22×AGL(1,ℤ/8)11yescharacteristic
739C22C22×#13711yescharacteristic
740C22C2×#57711yescharacteristic
741C22C2×#57711yescharacteristic
742C4—22no—
743C4—22no—
744C4—22no—
745C4—22no—
746C4—42no—
747C4—42no—
748C4—44no—
749C4—82no—
750C4—82no—
751C4—81no—
752C4—81no—
753C4—81no—
754C4—82no—
755C4—84no—
756C4#309214yes—
757C4#346012yes—
758C4#350612yes—
759C2—24no—
760C2—44no—
761C2—44no—
762C2—161no—
763C2#3515211yescharacteristic
764C2C2×#309211yescharacteristic
765C2C2×#309911yescharacteristic
766C2#6159311yescharacteristic
767C2#6160011yescharacteristic
768C2#6172811yescharacteristic
769C2#6173511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#35236C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C22×C4×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×D4×C4⋊C4C2semidirect
3. #32982C2semidirect
4. #32979C2semidirect
5. #29894C2semidirect
6. #29891C2semidirect
7. #26310C2semidirect
8. #26242C2semidirect
9. #25014C2semidirect
10. #25012C2semidirect
11. #24971C2semidirect
12. #24965C2semidirect
13. #21981C2semidirect
14. #21867C2semidirect
15. #21788C2semidirect
16. #21388C2semidirect
17. #21365C2semidirect
22. C2×#481C22semidirect
23. C2×#483C22semidirect
52. #2077C22semidirect
53. #2077C22semidirect
54. #2076C22semidirect
55. #2075C22semidirect
56. #2036C22semidirect
57. #2035C22semidirect
58. #2034C22semidirect
59. #2033C22semidirect
60. #1992C22semidirect
61. #1989C22semidirect
62. #1983C22semidirect
63. #1959C22semidirect
67. #1948C22semidirect
68. #1948C22semidirect
69. #1947C22semidirect
73. #1874C22semidirect
77. #1872C22semidirect
81. #1853C22semidirect
82. #1853C22semidirect
84. #1844C22semidirect
85. #1834C22semidirect
86. #1824C22semidirect
87. #1823C22semidirect
88. #1803C22semidirect
89. #1802C22semidirect
92. #1776C22semidirect
93. C4×#103C22semidirect
94. C4×#102C22semidirect

Maximal subgroups

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

subgroupindex
#352362
C2×D4×C4⋊C42
#329822
#329792
#298942
#298912
#263102
#262422
#250142
#250122
#249712
#249652
#219812
#218672
#217882
#213882
#213652