Finite Group Databasebeta

← #6482039

Subgroups — #6482039

Order 512.

2250 conjugacy classes of subgroups.

The subgroup lattice has 773 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35237C211yesmaximal, characteristic
2C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
3#32979C212yesmaximal, complemented
4#32978C212yesmaximal, complemented
5#29891C212yesmaximal, complemented
6#29891C212yesmaximal, complemented
7#26302C212yesmaximal, complemented
8#26300C212yesmaximal, complemented
9#26232C212yesmaximal, complemented
10#26230C212yesmaximal, complemented
11#25022C214yesmaximal, complemented
12#24977C214yesmaximal, complemented
13#21987C211yesmaximal, characteristic, complemented
14#21859C211yesmaximal, characteristic, complemented
15#21788C211yesmaximal, characteristic, complemented
16#21395C211yesmaximal, characteristic, complemented
17#21361C211yesmaximal, characteristic, complemented
18C2×#532C2211yescharacteristic
19C22×C4×D4—21no—
20C22×C4×D4C2211yescharacteristic
21C23×C4⋊C4C2212yes—
22C2×#481C2214yescomplemented
23C2×#480C2214yescomplemented
24C2×#432C2211yescharacteristic
25C2×#431C2211yescharacteristic
26#2847C2212yes—
27#2847C2212yes—
28#2631—22no—
29#2563C2211yescharacteristic
30#2563C2211yescharacteristic
31#2541C2211yescharacteristic
32#2541C2211yescharacteristic
33#2535C2212yes—
34#2535C2212yes—
35#2504—21no—
36#2433—21no—
37#2404—22no—
38D4×C4⋊C4—21no—
39D4×C4⋊C4—21no—
40D4×C4⋊C4—22no—
41D4×C4⋊C4C2212yes—
42D4×C4⋊C4C2212yes—
43D4×C4⋊C4C2214yes—
44#2328—21no—
45#2328—21no—
46C2×#389—21no—
47C2×#385—22no—
48C2×#384C2211yescharacteristic
49#2283C2211yescharacteristic
50C2×#380C2212yes—
51C2×C4×C4⋊C4C2211yescharacteristic
52#2077C2214yescomplemented
53#2077C2214yescomplemented
54#2076C2214yescomplemented
55#2076C2214yescomplemented
56#2034C2214yescomplemented
57#2034C2214yescomplemented
58#2033C2214yescomplemented
59#2033C2214yescomplemented
60#1990C2212yescomplemented
61#1987C2212yescomplemented
62#1982C2212yescomplemented
63#1957C2212yescomplemented
64#1955C2214yes—
65#1954C2212yes—
66#1954C2212yes—
67#1949C2212yescomplemented
68#1949C2212yescomplemented
69#1948C2212yescomplemented
70#1947C2212yescomplemented
71#1874C2212yes—
72#1874C2212yes—
73#1874C2212yes—
74#1874C2212yes—
75#1874C2214yescomplemented
76#1874C2214yescomplemented
77#1853C2211yescharacteristic
78#1853C2211yescharacteristic
79#1853C2212yes—
80#1853C2214yescomplemented
81#1852C2211yescharacteristic
82#1852C2211yescharacteristic
83#1852C2212yes—
84#1852C2214yescomplemented
85#1847C2212yescomplemented
86#1836C2212yescomplemented
87#1824C2214yescomplemented
88#1823C2214yescomplemented
89#1802C2214yescomplemented
90#1779C2212yes—
91#1779C2212yes—
92C4×#107C2212yescomplemented
93C4×#106C2212yescomplemented
94#1762C2214yescomplemented
95C22×#41—21no—
96C23×D4D411yescharacteristic
97C24×C4—22no—
98C24×C4C2312yes—
99#532—24no—
100#532—24no—
101C2×C4⋊Q8C2311yescharacteristic
102C2×#127—21no—
103C2×#127—21no—
104C2×#127C2311yescharacteristic
105C2×#124—21no—
106C2×#121—21no—
107C2×#121C2312yes—
108C2×#121C2312yes—
109C2×#121C2312yes—
110C2×#121C2312yes—
111C2×#121C2312yes—
112C2×#120—22no—
113C2×#120—22no—
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×D4C2312yes—
125C2×C4×D4C2311yescharacteristic
126C2×C4×D4C2311yescharacteristic
127C2×C4×D4C2312yes—
128C22×C4⋊C4—22no—
129C22×C4⋊C4—22no—
130C22×C4⋊C4—22no—
131C22×C4⋊C4—21no—
132C22×C4⋊C4—21no—
133C22×C4⋊C4—48no—
134C22×C4⋊C4D411yescharacteristic
135C22×C4⋊C4C2311yescharacteristic
136C22×C4⋊C4C2314yes—
137C22×C4⋊C4C2314yes—
138C22×C4⋊C4C2312yes—
139C22×C4⋊C4C2311yescharacteristic
140C22×C22⋊C4—22no—
141C22×C22⋊C4D412yes—
142C22×C42—21no—
143C22×C42C2311yescharacteristic
144#481—48no—
145#480—48no—
146#432—24no—
147#431—24no—
148C2×#107C2312yes—
149C2×#107C2314yes—
150C2×#107C2312yes—
151C2×#106C2312yes—
152C2×#106C2314yes—
153C2×#106C2312yes—
154C2×C4⋊C8C2312yes—
155C2×C4⋊C8C2312yes—
156C2×#102C2314yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×C22⋊C8C2311yescharacteristic
161C2×C22⋊C8C2312yes—
162C2×C22⋊C8C2311yescharacteristic
163C2×C22⋊C8C2314yes—
164C2×C22⋊C8C2314yes—
165C2×C22⋊C8C2314yes—
166C2×C22⋊C8C2314yes—
167C2×#97C2312yes—
168C2×C4×C8C2312yes—
169#397—22no—
170#397—22no—
171#393—22no—
172#393—22no—
173#392—22no—
174#392—22no—
175#392—22no—
176#392—22no—
177#390—21no—
178#390—21no—
179#390—21no—
180#390—21no—
181#389—22no—
182#389—22no—
183#389—24no—
184#386—22no—
185#386—22no—
186#386—22no—
187#386—22no—
188#386—22no—
189#386—22no—
190#386—22no—
191#386—22no—
192#386—22no—
193#386—22no—
194#385—24no—
195#385—24no—
196#385—24no—
197#385—24no—
198#384—21no—
199#384—21no—
200#384C2312yes—
201#384C2312yes—
202#383—21no—
203#382—21no—
204#382—21no—
205#382C2311yescharacteristic
206#382C2311yescharacteristic
207#381—21no—
208#380—22no—
209#380—22no—
210#380C2312yes—
211#380C2312yes—
212#380C2312yes—
213#380C2312yes—
214#380C2314yes—
215#380C2314yes—
216#380C2311yescharacteristic
217#380C2311yescharacteristic
218C4×C4⋊C4—21no—
219C4×C4⋊C4—21no—
220C4×C4⋊C4C2311yescharacteristic
221C4×C4⋊C4C2311yescharacteristic
222C4×C4⋊C4C2312yes—
223C4×C4⋊C4C2312yes—
224C4×C22⋊C4—21no—
225#376—21no—
226C2×#95—21no—
227C2×#95—22no—
228#340C2314yes—
229#340C2314yes—
230#340C2314yes—
231#340C2312yes—
232#340C2314yes—
233#340C2312yes—
234#340C2314yes—
235#340C2312yes—
236#340C2314yes—
237#340C2312yes—
238C25C2×D412yes—
239C2×#41—44no—
240C2×#41—82no—
241C2×#41—82no—
242C22×Q8—21no—
243C22×D4—24no—
244C22×D4—24no—
245C22×D4—22no—
246C22×D4—22no—
247C22×D4—22no—
248C22×D4—22no—
249C22×D4—22no—
250C22×D4—24no—
251C22×D4—21no—
252C22×D4—21no—
253C22×D4C2×D412yes—
254C22×D4C2×D411yescharacteristic
255C22×D4C2×D411yescharacteristic
256C22×D4C2412yes—
257C23×C4—21no—
258C23×C4—24no—
259C23×C4—24no—
260C23×C4—21no—
261C23×C4—22no—
262C23×C4—24no—
263C23×C4—24no—
264C23×C4—22no—
265C23×C4—44no—
266C23×C4—44no—
267C23×C4—48no—
268C23×C4—48no—
269C23×C4—84no—
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D411yescharacteristic
272C23×C4C2×D412yes—
273C23×C4C2×D412yes—
274C23×C4C2×D412yes—
275C23×C4C2412yes—
276C23×C4C2412yes—
277C23×C4C2411yescharacteristic
278C22×C8C2412yes—
279C22×C8C2412yes—
280C22×C8C2414yes—
281C4⋊Q8—22no—
282C4⋊Q8—22no—
283#127—22no—
284#127—22no—
285#127—44no—
286#127—44no—
287#124—44no—
288#121—24no—
289#121—24no—
290#121—44no—
291#121—44no—
292#121—44no—
293#121—44no—
294#121—44no—
295#120—84no—
296#120—84no—
297C4×D4—24no—
298C4×D4—24no—
299C4×D4—28no—
300C4×D4—22no—
301C4×D4—22no—
302C4×D4—24no—
303C4×D4—24no—
304C4×D4—22no—
305C4×D4—22no—
306C4×D4—24no—
307C4×D4—24no—
308C4×D4—416no—
309C4×D4—48no—
310C4×D4—48no—
311C4×D4—44no—
312C2×C4⋊C4—24no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—24no—
315C2×C4⋊C4—28no—
316C2×C4⋊C4—28no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—24no—
319C2×C4⋊C4—24no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—44no—
327C2×C4⋊C4—44no—
328C2×C4⋊C4—44no—
329C2×C4⋊C4—42no—
330C2×C4⋊C4—48no—
331C2×C4⋊C4—48no—
332C2×C4⋊C4—48no—
333C2×C4⋊C4—44no—
334C2×C4⋊C4—82no—
335C2×C4⋊C4C2×D411yescharacteristic
336C2×C4⋊C4C2×D411yescharacteristic
337C2×C4⋊C4C2×D412yes—
338C2×C4⋊C4C2414yes—
339C2×C4⋊C4C2412yes—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2411yescharacteristic
342C2×C4⋊C4C2411yescharacteristic
343C2×C4⋊C4C2411yescharacteristic
344C2×C4⋊C4C2411yescharacteristic
345C2×C4⋊C4C2412yes—
346C2×C22⋊C4—28no—
347C2×C22⋊C4—24no—
348C2×C22⋊C4—24no—
349C2×C22⋊C4—21no—
350C2×C22⋊C4—21no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—48no—
362C2×C22⋊C4C2×D412yes—
363C2×C22⋊C4C2×D412yes—
364C2×C22⋊C4C2×D412yes—
365C2×C22⋊C4C2×D412yes—
366C2×C42—22no—
367C2×C42—22no—
368C2×C42—21no—
369C2×C42—21no—
370C2×C42—44no—
371C2×C42C2×D411yescharacteristic
372C2×C42C2×D411yescharacteristic
373C2×C42#4114yes—
374C2×C42#4114yes—
375C2×C42C2411yescharacteristic
376C2×C42C2411yescharacteristic
377#107—24no—
378#107—42no—
379#107—44no—
380#106—24no—
381#106—42no—
382#106—44no—
383C4⋊C8—24no—
384C4⋊C8—24no—
385#102—28no—
386#102—44no—
387#102—44no—
388#102—44no—
389C22⋊C8—22no—
390C22⋊C8—22no—
391C22⋊C8—24no—
392C22⋊C8—44no—
393C22⋊C8—44no—
394C22⋊C8—44no—
395C22⋊C8—44no—
396#97—24no—
397C4×C8—24no—
398#95—22no—
399#95—22no—
400#95—24no—
401#95—24no—
402#95—21no—
403#95—21no—
404#95—21no—
405#95—21no—
406#95—21no—
407#95—21no—
408#95—21no—
409#95—21no—
410#95—22no—
411#95—22no—
412#95—22no—
413#95—22no—
414C24—24no—
415C24—24no—
416C24—24no—
417C24—24no—
418C24—24no—
419C24—22no—
420C24—42no—
421C24—42no—
422C24C22×D412yes—
423C24C22×D412yes—
424C24C22×D411yescharacteristic
425#41—816no—
426C2×Q8—42no—
427C2×Q8—81no—
428C2×Q8—81no—
429C2×D4—232no—
430C2×D4—24no—
431C2×D4—24no—
432C2×D4—24no—
433C2×D4—22no—
434C2×D4—22no—
435C2×D4—22no—
436C2×D4—22no—
437C2×D4—22no—
438C2×D4—22no—
439C2×D4—24no—
440C2×D4—24no—
441C2×D4—44no—
442C2×D4—44no—
443C2×D4—44no—
444C2×D4—44no—
445C2×D4—44no—
446C2×D4—44no—
447C2×D4—44no—
448C2×D4—42no—
449C2×D4—42no—
450C2×D4—42no—
451C2×D4—42no—
452C2×D4—81no—
453C2×D4—81no—
454C2×D4—82no—
455C2×D4—82no—
456C2×D4—82no—
457C2×D4—82no—
458C2×D4—82no—
459C2×D4—82no—
460C2×D4—82no—
461C2×D4—82no—
462C2×D4AGL(1,ℤ/8)14yes—
463C2×D4#13714yes—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—22no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—24no—
481C22×C4—24no—
482C22×C4—24no—
483C22×C4—22no—
484C22×C4—21no—
485C22×C4—21no—
486C22×C4—21no—
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—42no—
496C22×C4—416no—
497C22×C4—416no—
498C22×C4—48no—
499C22×C4—48no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—44no—
504C22×C4—44no—
505C22×C4—42no—
506C22×C4—48no—
507C22×C4—48no—
508C22×C4—44no—
509C22×C4—42no—
510C22×C4—44no—
511C22×C4—82no—
512C22×C4—82no—
513C22×C4—84no—
514C22×C4—84no—
515C22×C4—832no—
516C22×C4#12314yes—
517C22×C4#12314yes—
518C22×C4C22×D412yes—
519C22×C4C22×D412yes—
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C2×#4112yes—
526C22×C4C2×#4112yes—
527C22×C4C2511yescharacteristic
528C2×C8—22no—
529C2×C8—22no—
530C2×C8—24no—
531C2×C8—24no—
532C2×C8—22no—
533C2×C8—22no—
534C2×C8—24no—
535C2×C8—22no—
536C2×C8—22no—
537C4⋊C4—24no—
538C4⋊C4—24no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—24no—
545C4⋊C4—24no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—48no—
553C4⋊C4—48no—
554C4⋊C4—42no—
555C4⋊C4—44no—
556C4⋊C4—44no—
557C4⋊C4—42no—
558C4⋊C4—44no—
559C4⋊C4—82no—
560C4⋊C4—82no—
561C4⋊C4H(5,𝔽2)14yes—
562C22⋊C4—24no—
563C22⋊C4—24no—
564C22⋊C4—24no—
565C22⋊C4—24no—
566C22⋊C4—48no—
567C22⋊C4—48no—
568C22⋊C4—42no—
569C22⋊C4—42no—
570C22⋊C4—44no—
571C22⋊C4—44no—
572C22⋊C4—82no—
573C22⋊C4—82no—
574C22⋊C4—82no—
575C22⋊C4—82no—
576C22⋊C4—82no—
577C22⋊C4—82no—
578C22⋊C4—82no—
579C22⋊C4—82no—
580C42—44no—
581C42—44no—
582C42—42no—
583C42—42no—
584C42#12314yes—
585C42#12314yes—
586C42C2×#4112yes—
587C42C2×#4112yes—
588C42C2×#4112yes—
589C42C2×#4112yes—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—216no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—48no—
608C23—48no—
609C23—48no—
610C23—48no—
611C23—48no—
612C23—48no—
613C23—42no—
614C23—42no—
615C23—42no—
616C23—42no—
617C23—42no—
618C23—42no—
619C23—42no—
620C23C2×#12312yes—
621C23C2×AGL(1,ℤ/8)14yes—
622C23C2×#13714yes—
623C23#57612yes—
624C23#57712yes—
625C23C23×D411yescharacteristic
626Q8—84no—
627D4—216no—
628D4—28no—
629D4—28no—
630D4—44no—
631D4—44no—
632D4—84no—
633D4—88no—
634D4—84no—
635D4—164no—
636D4—164no—
637D4—164no—
638D4—164no—
639C2×C4—28no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—28no—
649C2×C4—24no—
650C2×C4—24no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—24no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—48no—
659C2×C4—48no—
660C2×C4—48no—
661C2×C4—48no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—44no—
665C2×C4—44no—
666C2×C4—44no—
667C2×C4—44no—
668C2×C4—42no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—44no—
672C2×C4—41no—
673C2×C4—41no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—44no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—41no—
682C2×C4—41no—
683C2×C4—42no—
684C2×C4—44no—
685C2×C4—41no—
686C2×C4—41no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—88no—
690C2×C4—816no—
691C2×C4—816no—
692C2×C4—84no—
693C2×C4—88no—
694C2×C4C2×#12312yes—
695C2×C4C2×#12312yes—
696C2×C4C2×#12312yes—
697C2×C4C2×#12312yes—
698C2×C4C2×#12312yes—
699C2×C4C2×AGL(1,ℤ/8)12yes—
700C2×C4C2×#13712yes—
701C2×C4C22×#4111yescharacteristic
702C2×C4C22×#4111yescharacteristic
703C2×C4C2×H(5,𝔽2)12yes—
704C2×C4#58512yes—
705C8—42no—
706C8—42no—
707C8—44no—
708C22—22no—
709C22—22no—
710C22—22no—
711C22—22no—
712C22—22no—
713C22—22no—
714C22—24no—
715C22—24no—
716C22—24no—
717C22—24no—
718C22—24no—
719C22—24no—
720C22—432no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—42no—
725C22—42no—
726C22—42no—
727C22—42no—
728C22—42no—
729C22—82no—
730C22—82no—
731C22—82no—
732C22—82no—
733C22—82no—
734C22—82no—
735C22—82no—
736C22#309614yes—
737C22C22×#12311yescharacteristic
738C22#348411yescharacteristic
739C22#348511yescharacteristic
740C22C22×AGL(1,ℤ/8)11yescharacteristic
741C22C22×#13711yescharacteristic
742C22C2×#57611yescharacteristic
743C22C2×#57711yescharacteristic
744C4—22no—
745C4—22no—
746C4—22no—
747C4—22no—
748C4—42no—
749C4—42no—
750C4—44no—
751C4—81no—
752C4—82no—
753C4—81no—
754C4—82no—
755C4—84no—
756C4—81no—
757C4—81no—
758C4#309214yes—
759C4#346012yes—
760C4#350612yes—
761C2—24no—
762C2—44no—
763C2—44no—
764C2—162no—
765C2#3515211yescharacteristic
766C2C2×#309211yescharacteristic
767C2C2×#309611yescharacteristic
768C2#6159111yescharacteristic
769C2#6159311yescharacteristic
770C2#6172611yescharacteristic
771C2#6172811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#35237C2
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. #32979C2semidirect
4. #32978C2semidirect
5. #29891C2semidirect
6. #29891C2semidirect
7. #26302C2semidirect
8. #26300C2semidirect
9. #26232C2semidirect
10. #26230C2semidirect
11. #25022C2semidirect
12. #24977C2semidirect
13. #21987C2semidirect
14. #21859C2semidirect
15. #21788C2semidirect
16. #21395C2semidirect
17. #21361C2semidirect
22. C2×#481C22semidirect
23. C2×#480C22semidirect
52. #2077C22semidirect
53. #2077C22semidirect
54. #2076C22semidirect
55. #2076C22semidirect
56. #2034C22semidirect
57. #2034C22semidirect
58. #2033C22semidirect
59. #2033C22semidirect
60. #1990C22semidirect
61. #1987C22semidirect
62. #1982C22semidirect
63. #1957C22semidirect
67. #1949C22semidirect
68. #1949C22semidirect
69. #1948C22semidirect
70. #1947C22semidirect
75. #1874C22semidirect
76. #1874C22semidirect
80. #1853C22semidirect
84. #1852C22semidirect
85. #1847C22semidirect
86. #1836C22semidirect
87. #1824C22semidirect
88. #1823C22semidirect
89. #1802C22semidirect
92. C4×#107C22semidirect
93. C4×#106C22semidirect
94. #1762C22semidirect

Maximal subgroups

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

subgroupindex
#352372
C2×D4×C4⋊C42
#329792
#329782
#298912
#263022
#263002
#262322
#262302
#250222
#249772
#219872
#218592
#217882
#213952
#213612