Finite Group Databasebeta

← #6447237

Subgroups — #6447237

Order 512.

2000 conjugacy classes of subgroups.

The subgroup lattice has 765 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2563C211yesmaximal, characteristic
2D4×#117C211yesmaximal, characteristic
3#26315C214yesmaximal, complemented
4#26313C214yesmaximal, complemented
5#26302C212yesmaximal, complemented
6#26300C212yesmaximal, complemented
7#26299C212yesmaximal, complemented
8#26297C212yesmaximal, complemented
9#23642C212yesmaximal, complemented
10#23642C212yesmaximal, complemented
11#21324C211yesmaximal, characteristic, complemented
12#21313C211yesmaximal, characteristic, complemented
13#21190C211yesmaximal, characteristic
14#21170C211yesmaximal, characteristic, complemented
15#20846C212yesmaximal, complemented
16#20702C212yesmaximal, complemented
17C4×#428C211yesmaximal, characteristic, complemented
18C22×C4⋊Q8C2211yescharacteristic
19C22×C4×D4C2211yescharacteristic
20C22×#117C2212yes—
21C2×#428C2211yescharacteristic
22C2×#428C2211yescharacteristic
23C2×#428C2212yes—
24C2×#423C2211yescharacteristic
25C2×#407C2212yes—
26C2×#407C2212yes—
27C2×C4×M16C2211yescharacteristic
28#2563—21no—
29#2563—22no—
30#2563—21no—
31#2563C2212yes—
32#2563C2212yes—
33#2563C2214yes—
34C2×#393—22no—
35#2354C2211yescharacteristic
36#2354C2211yescharacteristic
37#2352C2212yes—
38#2352C2212yes—
39D4×C4⋊C4C2211yescharacteristic
40D4×C4⋊C4C2211yescharacteristic
41#2344—21no—
42#2342—22no—
43D4×C22⋊C4—21no—
44#2293—21no—
45C2×#390—21no—
46#2290—22no—
47#2285C2211yescharacteristic
48C2×#382—21no—
49#2280C2212yes—
50C2×#380C2212yes—
51C2×#380C2212yes—
52C42×D4—21no—
53C4×#117C2211yescharacteristic
54C2×C4×C4⋊C4C2211yescharacteristic
55#2077C2214yescomplemented
56#2077C2214yescomplemented
57#2077C2214yescomplemented
58#2077C2214yescomplemented
59#2076C2214yescomplemented
60#2076C2214yescomplemented
61#2075C2214yescomplemented
62#2075C2214yescomplemented
63#1993C2214yescomplemented
64#1990C2212yescomplemented
65#1990C2212yescomplemented
66#1988C2212yescomplemented
67#1988C2212yescomplemented
68#1987C2212yescomplemented
69#1987C2212yescomplemented
70#1955C2214yes—
71#1954C2212yes—
72#1954C2212yes—
73#1949C2214yescomplemented
74#1948C2212yescomplemented
75#1947C2212yescomplemented
76#1854C2214yescomplemented
77#1854C2214yescomplemented
78#1853C2214yescomplemented
79#1852C2214yescomplemented
80#1825C2214yescomplemented
81#1825C2214yescomplemented
82#1824C2214yescomplemented
83#1823C2214yescomplemented
84#1776C2212yescomplemented
85#1776C2212yescomplemented
86C4×#107C2212yescomplemented
87C4×#106C2212yescomplemented
88#1736C2212yes—
89#1736C2212yes—
90#1736C2212yes—
91#1736C2212yes—
92#1736C2211yescharacteristic
93#1736C2212yes—
94#1736C2211yescharacteristic
95C23×Q8—21no—
96C23×D4D411yescharacteristic
97C24×C4C2312yes—
98C22×M16C2311yescharacteristic
99C22×M16C2312yes—
100C22×M16C2311yescharacteristic
101C2×C4⋊Q8—21no—
102C2×C4⋊Q8—21no—
103C2×C4⋊Q8—24no—
104C2×C4⋊Q8—24no—
105C2×C4⋊Q8C2312yes—
106C2×C4⋊Q8C2312yes—
107C2×C4×D4—21no—
108C2×C4×D4—21no—
109C2×C4×D4—24no—
110C2×C4×D4—24no—
111C2×C4×D4D411yescharacteristic
112C2×C4×D4D412yes—
113C2×C4×D4D411yescharacteristic
114C2×C4×D4C2311yescharacteristic
115C2×C4×D4C2312yes—
116C2×C4×D4C2311yescharacteristic
117C2×#117—22no—
118C2×#117—22no—
119C2×#117—28no—
120C2×#117—44no—
121C2×#117C2312yes—
122C2×#117C2311yescharacteristic
123C2×#117C2312yes—
124C2×#117C2312yes—
125C2×#117C2311yescharacteristic
126C22×C4⋊C4—21no—
127C22×C4⋊C4D411yescharacteristic
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2312yes—
131C22×C4⋊C4C2312yes—
132C22×C4⋊C4C2312yes—
133C22×C22⋊C4—22no—
134C22×C22⋊C4—22no—
135C22×C22⋊C4—22no—
136C22×C22⋊C4D412yes—
137C22×C42—22no—
138C22×C42—21no—
139C22×C42C2311yescharacteristic
140#428—24no—
141#428—24no—
142#428—44no—
143C2×#107C2312yes—
144C2×#107C2312yes—
145C2×#107C2314yes—
146C2×#106C2312yes—
147C2×#106C2312yes—
148C2×#106C2314yes—
149#423—24no—
150C2×C4⋊C8C2312yes—
151C2×C4⋊C8C2312yes—
152#407—28no—
153#407—44no—
154C2×C22⋊C8C2314yes—
155C2×C22⋊C8C2314yes—
156C2×C22⋊C8C2314yes—
157C2×C22⋊C8C2314yes—
158C4×M16—24no—
159C2×#97C2312yes—
160C2×C4×C8C2312yes—
161#393—24no—
162#393—24no—
163#393—24no—
164#393—24no—
165#390—22no—
166#390—24no—
167#390—22no—
168#390—21no—
169#390—21no—
170#389—21no—
171#389—21no—
172#388—22no—
173#388—22no—
174#388—22no—
175#388—22no—
176#387—22no—
177#387—22no—
178#386—22no—
179#386—22no—
180#385—22no—
181#385—22no—
182#384C2311yescharacteristic
183#384C2311yescharacteristic
184#382—22no—
185#382—24no—
186#382—22no—
187#382C2312yes—
188#381—22no—
189#380—22no—
190#380—22no—
191#380—22no—
192#380—22no—
193#380—21no—
194#380—21no—
195#380C2314yes—
196#380C2314yes—
197#380C2314yes—
198#380C2314yes—
199#380C2312yes—
200#380C2312yes—
201#380C2312yes—
202#380C2312yes—
203#379—22no—
204C4×C4⋊C4—21no—
205C4×C4⋊C4—21no—
206C4×C4⋊C4—21no—
207C4×C4⋊C4—21no—
208C4×C4⋊C4—21no—
209C4×C4⋊C4—21no—
210C4×C4⋊C4C2312yes—
211C4×C4⋊C4C2312yes—
212C4×C4⋊C4C2311yescharacteristic
213C4×C4⋊C4C2311yescharacteristic
214C4×C4⋊C4C2311yescharacteristic
215C4×C4⋊C4C2311yescharacteristic
216C4×C22⋊C4—21no—
217C4×C22⋊C4—21no—
218C4×C22⋊C4—22no—
219C4×C22⋊C4—22no—
220C4×C22⋊C4—22no—
221C4×C22⋊C4—22no—
222#376—21no—
223C2×#95—21no—
224C2×#95—22no—
225C2×#95—22no—
226C43—21no—
227#340C2312yes—
228#340C2314yes—
229#340C2314yes—
230#340C2314yes—
231#340C2314yes—
232#340C2314yes—
233#340C2312yes—
234#340C2314yes—
235#340C2314yes—
236#340C2314yes—
237#340C2312yes—
238#340C2314yes—
239#340C2312yes—
240#340C2314yes—
241C25C2×D412yes—
242C22×Q8—22no—
243C22×Q8—22no—
244C22×Q8—44no—
245C22×Q8—82no—
246C22×Q8—82no—
247C22×D4—24no—
248C22×D4—24no—
249C22×D4—42no—
250C22×D4C2×D411yescharacteristic
251C22×D4C2×D412yes—
252C22×D4C2×D411yescharacteristic
253C23×C4—24no—
254C23×C4—24no—
255C23×C4—24no—
256C23×C4—24no—
257C23×C4—24no—
258C23×C4—24no—
259C23×C4—22no—
260C23×C4—21no—
261C23×C4—21no—
262C23×C4—22no—
263C23×C4—22no—
264C23×C4C2×D412yes—
265C23×C4C2×D412yes—
266C23×C4C2×D412yes—
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2412yes—
270C23×C4C2412yes—
271C23×C4C2411yescharacteristic
272C2×M16—22no—
273C2×M16—22no—
274C2×M16—22no—
275C2×M16—24no—
276C2×M16—24no—
277C2×M16—22no—
278C2×M16—24no—
279C2×M16—22no—
280C2×M16#4114yes—
281C22×C8C2412yes—
282C22×C8C2414yes—
283C22×C8C2412yes—
284C4⋊Q8—24no—
285C4⋊Q8—24no—
286C4⋊Q8—24no—
287C4⋊Q8—24no—
288C4⋊Q8—44no—
289C4⋊Q8—44no—
290C4×D4—24no—
291C4×D4—28no—
292C4×D4—24no—
293C4×D4—22no—
294C4×D4—22no—
295C4×D4—24no—
296C4×D4—22no—
297C4×D4—24no—
298C4×D4—22no—
299C4×D4—44no—
300C4×D4—44no—
301#117—22no—
302#117—24no—
303#117—22no—
304#117—24no—
305#117—22no—
306#117—24no—
307#117—24no—
308#117—48no—
309#117—48no—
310#117—42no—
311#117—42no—
312#117#4114yes—
313C2×C4⋊C4—24no—
314C2×C4⋊C4—24no—
315C2×C4⋊C4—24no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—24no—
321C2×C4⋊C4—24no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—42no—
334C2×C4⋊C4—42no—
335C2×C4⋊C4—44no—
336C2×C4⋊C4C2×D411yescharacteristic
337C2×C4⋊C4C2×D412yes—
338C2×C4⋊C4C2×D411yescharacteristic
339C2×C4⋊C4C2412yes—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2414yes—
342C2×C4⋊C4C2412yes—
343C2×C4⋊C4C2412yes—
344C2×C4⋊C4C2411yescharacteristic
345C2×C4⋊C4C2411yescharacteristic
346C2×C4⋊C4C2411yescharacteristic
347C2×C4⋊C4C2411yescharacteristic
348C2×C22⋊C4—21no—
349C2×C22⋊C4—28no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—21no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—24no—
357C2×C22⋊C4—24no—
358C2×C22⋊C4—24no—
359C2×C22⋊C4—24no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—48no—
363C2×C22⋊C4—84no—
364C2×C22⋊C4—84no—
365C2×C22⋊C4C2×D412yes—
366C2×C22⋊C4C2×D412yes—
367C2×C22⋊C4C2×D412yes—
368C2×C22⋊C4C2×D412yes—
369C2×C42—21no—
370C2×C42—22no—
371C2×C42—22no—
372C2×C42—22no—
373C2×C42—21no—
374C2×C42—21no—
375C2×C42—21no—
376C2×C42—22no—
377C2×C42—22no—
378C2×C42—21no—
379C2×C42—21no—
380C2×C42—48no—
381C2×C42—44no—
382C2×C42C2×D411yescharacteristic
383C2×C42C2×D411yescharacteristic
384C2×C42#4114yes—
385C2×C42#4114yes—
386C2×C42C2411yescharacteristic
387C2×C42C2411yescharacteristic
388#107—24no—
389#107—24no—
390#107—44no—
391#106—24no—
392#106—24no—
393#106—44no—
394C4⋊C8—24no—
395C4⋊C8—24no—
396C22⋊C8—28no—
397C22⋊C8—28no—
398C22⋊C8—44no—
399C22⋊C8—44no—
400#97—24no—
401C4×C8—24no—
402#95—22no—
403#95—22no—
404#95—24no—
405#95—24no—
406#95—24no—
407#95—24no—
408#95—21no—
409#95—21no—
410#95—21no—
411#95—21no—
412#95—22no—
413#95—22no—
414#95—22no—
415#95—22no—
416#95—22no—
417#95—22no—
418C24—24no—
419C24—24no—
420C24—24no—
421C24—24no—
422C24—42no—
423C24—42no—
424C24—42no—
425C24C22×D412yes—
426C24C22×D412yes—
427C24C22×D411yescharacteristic
428C2×Q8—44no—
429C2×Q8—44no—
430C2×Q8—82no—
431C2×Q8—82no—
432C2×Q8—82no—
433C2×Q8—82no—
434C2×Q8—816no—
435C2×D4—24no—
436C2×D4—22no—
437C2×D4—24no—
438C2×D4—22no—
439C2×D4—22no—
440C2×D4—22no—
441C2×D4—22no—
442C2×D4—416no—
443C2×D4—42no—
444C2×D4#13714yes—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—24no—
448C22×C4—24no—
449C22×C4—24no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—24no—
453C22×C4—24no—
454C22×C4—24no—
455C22×C4—24no—
456C22×C4—24no—
457C22×C4—24no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—41no—
478C22×C4—41no—
479C22×C4—44no—
480C22×C4—44no—
481C22×C4—48no—
482C22×C4—48no—
483C22×C4—48no—
484C22×C4—48no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—44no—
490C22×C4—44no—
491C22×C4—44no—
492C22×C4—44no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—44no—
496C22×C4—82no—
497C22×C4—82no—
498C22×C4#12314yes—
499C22×C4#12314yes—
500C22×C4C22×D412yes—
501C22×C4C22×D412yes—
502C22×C4C22×D411yescharacteristic
503C22×C4C22×D411yescharacteristic
504C22×C4C22×D411yescharacteristic
505C22×C4C22×D411yescharacteristic
506C22×C4C22×D411yescharacteristic
507C22×C4C2×#4112yes—
508C22×C4C2×#4112yes—
509C22×C4C2×#4112yes—
510C22×C4C2×#4112yes—
511C22×C4H(5,𝔽2)12yes—
512C22×C42−1+412yes—
513C22×C4C2511yescharacteristic
514M16—28no—
515M16—44no—
516M16—48no—
517C2×C8—22no—
518C2×C8—22no—
519C2×C8—22no—
520C2×C8—24no—
521C2×C8—24no—
522C2×C8—22no—
523C2×C8—24no—
524C2×C8—22no—
525C2×C8C2×#4114yes—
526C4⋊C4—24no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—21no—
530C4⋊C4—21no—
531C4⋊C4—21no—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—21no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—24no—
538C4⋊C4—24no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—21no—
544C4⋊C4—21no—
545C4⋊C4—44no—
546C4⋊C4—44no—
547C4⋊C4—44no—
548C4⋊C4—44no—
549C4⋊C4—44no—
550C4⋊C4—42no—
551C4⋊C4—42no—
552C4⋊C4—42no—
553C4⋊C4—42no—
554C4⋊C4—81no—
555C4⋊C4—81no—
556C4⋊C4C2×#4112yes—
557C4⋊C4C2×#4112yes—
558C22⋊C4—24no—
559C22⋊C4—24no—
560C22⋊C4—24no—
561C22⋊C4—24no—
562C22⋊C4—24no—
563C22⋊C4—44no—
564C22⋊C4—44no—
565C22⋊C4—44no—
566C22⋊C4—44no—
567C22⋊C4—42no—
568C22⋊C4—44no—
569C22⋊C4—82no—
570C22⋊C4—82no—
571C22⋊C4—84no—
572C22⋊C4—84no—
573C22⋊C4—84no—
574C22⋊C4—84no—
575C42—24no—
576C42—44no—
577C42—44no—
578C42—44no—
579C42—44no—
580C42—42no—
581C42—42no—
582C42—44no—
583C42—42no—
584C42—81no—
585C42—81no—
586C42#12314yes—
587C42#12314yes—
588C42C2×#4112yes—
589C42C2×#4112yes—
590C42C2×#4112yes—
591C42C2×#4112yes—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
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—22no—
609C23—48no—
610C23—48no—
611C23—48no—
612C23—48no—
613C23—84no—
614C23—84no—
615C23—84no—
616C23C2×#12312yes—
617C23#54612yes—
618C23#54712yes—
619C23C2×#13714yes—
620C23C23×D411yescharacteristic
621Q8—88no—
622Q8—88no—
623D4—28no—
624D4—48no—
625D4—44no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—28no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—44no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—48no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—48no—
652C2×C4—48no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—44no—
662C2×C4—44no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—44no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—42no—
672C2×C4—41no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—41no—
677C2×C4—42no—
678C2×C4—88no—
679C2×C4—88no—
680C2×C4—84no—
681C2×C4—84no—
682C2×C4—88no—
683C2×C4C2×#12312yes—
684C2×C4C2×#12312yes—
685C2×C4C2×#12312yes—
686C2×C4C2×#12312yes—
687C2×C4C2×#12312yes—
688C2×C4#52914yes—
689C2×C4#54214yes—
690C2×C4#54612yes—
691C2×C4#54712yes—
692C2×C4#55614yes—
693C2×C4#55914yes—
694C2×C4C2×#13712yes—
695C2×C4#57512yes—
696C2×C4C22×#4111yescharacteristic
697C2×C4C22×#4111yescharacteristic
698C2×C4C22×#4111yescharacteristic
699C2×C4C22×#4111yescharacteristic
700C2×C4C2×H(5,𝔽2)11yescharacteristic
701C2×C4C2×2−1+411yescharacteristic
702C8—24no—
703C8—42no—
704C8—44no—
705C22—22no—
706C22—22no—
707C22—22no—
708C22—22no—
709C22—22no—
710C22—22no—
711C22—24no—
712C22—24no—
713C22—24no—
714C22—42no—
715C22—42no—
716C22—42no—
717C22—42no—
718C22—42no—
719C22—42no—
720C22—42no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—42no—
725C22—816no—
726C22#244714yes—
727C22C22×#12311yescharacteristic
728C22C2×#54611yescharacteristic
729C22C2×#54711yescharacteristic
730C22C22×#13711yescharacteristic
731C22C2×#57511yescharacteristic
732C22#358511yescharacteristic
733C22#358511yescharacteristic
734C4—22no—
735C4—22no—
736C4—22no—
737C4—42no—
738C4—42no—
739C4—42no—
740C4—42no—
741C4—81no—
742C4—81no—
743C4—82no—
744C4—84no—
745C4—82no—
746C4—82no—
747C4—82no—
748C4#244714yes—
749C4#309514yes—
750C4C2×#52911yescharacteristic
751C4C2×#54211yescharacteristic
752C4C2×#55611yescharacteristic
753C4C2×#55911yescharacteristic
754C2—24no—
755C2—44no—
756C2—82no—
757C2C2×#244711yescharacteristic
758C2C2×#309511yescharacteristic
759C2#6051811yescharacteristic
760C2#6116211yescharacteristic
761C2#6116611yescharacteristic
762C2#6125411yescharacteristic
763C2#6125611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4D4
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
3. #26315C2semidirect
4. #26313C2semidirect
5. #26302C2semidirect
6. #26300C2semidirect
7. #26299C2semidirect
8. #26297C2semidirect
9. #23642C2semidirect
10. #23642C2semidirect
11. #21324C2semidirect
12. #21313C2semidirect
14. #21170C2semidirect
15. #20846C2semidirect
16. #20702C2semidirect
17. C4×#428C2semidirect
55. #2077C22semidirect
56. #2077C22semidirect
57. #2077C22semidirect
58. #2077C22semidirect
59. #2076C22semidirect
60. #2076C22semidirect
61. #2075C22semidirect
62. #2075C22semidirect
63. #1993C22semidirect
64. #1990C22semidirect
65. #1990C22semidirect
66. #1988C22semidirect
67. #1988C22semidirect
68. #1987C22semidirect
69. #1987C22semidirect
73. #1949C22semidirect
74. #1948C22semidirect
75. #1947C22semidirect
76. #1854C22semidirect
77. #1854C22semidirect
78. #1853C22semidirect
79. #1852C22semidirect
80. #1825C22semidirect
81. #1825C22semidirect
82. #1824C22semidirect
83. #1823C22semidirect
84. #1776C22semidirect
85. #1776C22semidirect
86. C4×#107C22semidirect
87. C4×#106C22semidirect

Maximal subgroups

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

subgroupindex
C2×#25632
D4×#1172
#263152
#263132
#263022
#263002
#262992
#262972
#236422
#213242
#213132
#211902
#211702
#208462
#207022
C4×#4282