Finite Group Databasebeta

← #6592112

Subgroups — #6592112

Order 512.

2354 conjugacy classes of subgroups.

The subgroup lattice has 764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36153C211yesmaximal, characteristic
2C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
3#33146C211yesmaximal, characteristic, complemented
4#32978C212yesmaximal, complemented
5#27960C211yesmaximal, characteristic, complemented
6#27644C211yesmaximal, characteristic, complemented
7#27600C212yesmaximal, complemented
8#26296C212yesmaximal, complemented
9#26198C214yesmaximal, complemented
10#24965C212yesmaximal, complemented
11#24933C214yesmaximal, complemented
12#24550C212yesmaximal, complemented
13#22705C212yesmaximal, complemented
14#22485C212yesmaximal, complemented
15D4×C22⋊C8C211yesmaximal, characteristic, complemented
16C4×#480C211yesmaximal, characteristic, complemented
17C2×#1823C212yesmaximal, complemented
18C2×#547C2211yescharacteristic
19C2×#546—21no—
20C22×C4×D4—21no—
21C22×C4×D4C2211yescharacteristic
22C23×C4⋊C4C2212yes—
23C2×#480C2211yescharacteristic
24C2×#480C2212yes—
25C2×C8×D4C2212yes—
26C22×C22⋊C8C2212yes—
27#2857C2211yescharacteristic
28#2847C2212yes—
29#2547C2211yescharacteristic
30#2537C2211yescharacteristic
31#2486C2212yes—
32#2427—21no—
33#2425—22no—
34#2417—21no—
35#2416C2212yes—
36#2412—22no—
37D4×C4⋊C4—21no—
38D4×C4⋊C4—22no—
39D4×C4⋊C4—21no—
40D4×C4⋊C4C2211yescharacteristic
41D4×C4⋊C4C2214yes—
42D4×C4⋊C4C2212yes—
43D4×C4⋊C4C2212yes—
44#2339—21no—
45C4×#121C2211yescharacteristic
46C2×#389—21no—
47C2×#385—22no—
48C2×#384C2211yescharacteristic
49C2×#380C2212yes—
50C2×#380C2212yes—
51C2×C4×C4⋊C4C2211yescharacteristic
52#2099C2214yescomplemented
53#2083C2212yescomplemented
54#2075C2214yescomplemented
55#2075C2214yescomplemented
56#2075C2214yescomplemented
57#2071C2212yescomplemented
58#2033C2214yescomplemented
59#1990C2212yescomplemented
60#1988C2212yescomplemented
61#1954C2212yes—
62#1947C2212yescomplemented
63#1947C2212yescomplemented
64#1925C2212yescomplemented
65#1918C2212yescomplemented
66#1918C2214yescomplemented
67#1893C2214yescomplemented
68#1874C2211yescharacteristic
69#1874C2214yescomplemented
70#1874C2214yescomplemented
71#1869C2214yes—
72#1852C2211yescharacteristic
73#1852C2212yes—
74#1852C2214yescomplemented
75#1852C2214yescomplemented
76#1852C2214yescomplemented
77#1834C2212yescomplemented
78#1823C2212yes—
79#1823C2212yes—
80#1823C2211yescharacteristic
81#1823C2212yes—
82#1823C2212yes—
83#1823C2214yescomplemented
84#1823C2214yescomplemented
85#1823C2214yescomplemented
86#1808C2214yescomplemented
87#1802C2212yescomplemented
88#1797C2211yescharacteristic
89#1779C2212yes—
90C4×#107C2212yescomplemented
91C4×#102C2212yescomplemented
92C4×C22⋊C8C2211yescharacteristic
93C2×#340C2214yescomplemented
94C2×#340C2214yescomplemented
95C22×#41—21no—
96C23×D4D411yescharacteristic
97C24×C4—22no—
98C24×C4C2312yes—
99C23×C8C2314yes—
100#547—28no—
101#546—48no—
102C2×C4⋊Q8C2311yescharacteristic
103C2×#124—21no—
104C2×#123—22no—
105C2×#123—22no—
106C2×C22⋊Q8—21no—
107C2×C22⋊Q8—21no—
108C2×#121—22no—
109C2×#121—21no—
110C2×#121C2311yescharacteristic
111C2×#121C2312yes—
112C2×#121C2312yes—
113C2×#120—22no—
114C2×C4×D4—28no—
115C2×C4×D4—21no—
116C2×C4×D4—24no—
117C2×C4×D4—22no—
118C2×C4×D4—22no—
119C2×C4×D4—21no—
120C2×C4×D4—48no—
121C2×C4×D4D411yescharacteristic
122C2×C4×D4D412yes—
123C2×C4×D4D411yescharacteristic
124C2×C4×D4C2311yescharacteristic
125C2×C4×D4C2312yes—
126C2×C4×D4C2311yescharacteristic
127C2×C4×D4C2311yescharacteristic
128C22×C4⋊C4—28no—
129C22×C4⋊C4—22no—
130C22×C4⋊C4—22no—
131C22×C4⋊C4—22no—
132C22×C4⋊C4—21no—
133C22×C4⋊C4—21no—
134C22×C4⋊C4—44no—
135C22×C4⋊C4D411yescharacteristic
136C22×C4⋊C4C2312yes—
137C22×C4⋊C4C2312yes—
138C22×C4⋊C4C2314yes—
139C22×C4⋊C4C2314yes—
140C22×C4⋊C4C2311yescharacteristic
141C22×C4⋊C4C2312yes—
142C22×C4⋊C4C2311yescharacteristic
143C22×C22⋊C4—22no—
144C22×C22⋊C4—22no—
145C22×C22⋊C4D412yes—
146C22×C42—21no—
147C22×C42C2311yescharacteristic
148#480—24no—
149#480—44no—
150C8×D4—28no—
151C2×#107C2312yes—
152C2×#107C2314yes—
153C2×#107C2314yes—
154C2×#107C2312yes—
155C2×C4⋊C8C2312yes—
156C2×#102C2312yes—
157C2×#102C2314yes—
158C2×#102C2312yes—
159C2×C22⋊C8—44no—
160C2×C22⋊C8C2312yes—
161C2×C22⋊C8C2311yescharacteristic
162C2×C22⋊C8C2311yescharacteristic
163C2×C22⋊C8C2314yes—
164C2×C22⋊C8C2314yes—
165C2×C22⋊C8C2314yes—
166C2×C4×C8C2312yes—
167#398—22no—
168#397—22no—
169#397—22no—
170#396—22no—
171#394—22no—
172#394—22no—
173#391—21no—
174#391—21no—
175#390C2311yescharacteristic
176#389—22no—
177#389—24no—
178#389—22no—
179#389—21no—
180#389—21no—
181#389C2311yescharacteristic
182#389C2312yes—
183#388—21no—
184#386—22no—
185#386—22no—
186#386—22no—
187#386—21no—
188#386—22no—
189#385—24no—
190#385—24no—
191#385—24no—
192#385—24no—
193#385—22no—
194#384—21no—
195#384—21no—
196#384C2312yes—
197#384C2312yes—
198#384C2311yescharacteristic
199#381—22no—
200#380—21no—
201#380—22no—
202#380—22no—
203#380—22no—
204#380—22no—
205#380—21no—
206#380C2312yes—
207#380C2314yes—
208#380C2314yes—
209#380C2312yes—
210#380C2312yes—
211#380C2312yes—
212#380C2312yes—
213#380C2311yescharacteristic
214C4×C4⋊C4—21no—
215C4×C4⋊C4—21no—
216C4×C4⋊C4C2312yes—
217C4×C4⋊C4C2312yes—
218C4×C4⋊C4C2311yescharacteristic
219C4×C22⋊C4—21no—
220C2×#95—22no—
221C2×#95—21no—
222C2×#95—22no—
223#340C2314yes—
224#340C2312yes—
225#340C2314yes—
226#340C2314yes—
227#340C2312yes—
228#340C2314yes—
229#340C2314yes—
230#340C2314yes—
231#340C2314yes—
232#340C2312yes—
233#340C2312yes—
234#340C2314yes—
235#340C2314yes—
236#336C2312yes—
237#336C2312yes—
238C25C2×D412yes—
239C2×#41—44no—
240C2×#41—44no—
241C2×#41—44no—
242C22×Q8—21no—
243C22×D4—24no—
244C22×D4—24no—
245C22×D4—21no—
246C22×D4—22no—
247C22×D4—22no—
248C22×D4D818yes—
249C22×D4C2×D412yes—
250C22×D4C2×D411yescharacteristic
251C22×D4C2×D411yescharacteristic
252C22×D4C2411yescharacteristic
253C23×C4—21no—
254C23×C4—24no—
255C23×C4—28no—
256C23×C4—24no—
257C23×C4—21no—
258C23×C4—22no—
259C23×C4—22no—
260C23×C4—24no—
261C23×C4—24no—
262C23×C4—22no—
263C23×C4—21no—
264C23×C4—44no—
265C23×C4—48no—
266C23×C4—48no—
267C23×C4—84no—
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D412yes—
270C23×C4C2×D412yes—
271C23×C4C2×D412yes—
272C23×C4C2×D411yescharacteristic
273C23×C4C2412yes—
274C23×C4C2412yes—
275C23×C4C2411yescharacteristic
276C22×C8—28no—
277C22×C8—44no—
278C22×C8—44no—
279C22×C8C2412yes—
280C22×C8C2414yes—
281C22×C8C2412yes—
282C4⋊Q8—24no—
283#124—44no—
284#123—48no—
285#123—48no—
286C22⋊Q8—44no—
287C22⋊Q8—44no—
288#121—28no—
289#121—22no—
290#121—22no—
291#121—44no—
292#121—48no—
293#121—44no—
294#120—48no—
295C4×D4—24no—
296C4×D4—28no—
297C4×D4—24no—
298C4×D4—28no—
299C4×D4—24no—
300C4×D4—24no—
301C4×D4—416no—
302C4×D4—48no—
303C4×D4—48no—
304C4×D4—44no—
305C4×D4—44no—
306C4×D4#4118yes—
307C2×C4⋊C4—21no—
308C2×C4⋊C4—22no—
309C2×C4⋊C4—24no—
310C2×C4⋊C4—24no—
311C2×C4⋊C4—28no—
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—22no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—44no—
331C2×C4⋊C4—44no—
332C2×C4⋊C4—42no—
333C2×C4⋊C4—44no—
334C2×C4⋊C4—48no—
335C2×C4⋊C4—48no—
336C2×C4⋊C4—48no—
337C2×C4⋊C4—44no—
338C2×C4⋊C4—82no—
339C2×C4⋊C4C2×D411yescharacteristic
340C2×C4⋊C4C2×D412yes—
341C2×C4⋊C4C2×D411yescharacteristic
342C2×C4⋊C4#4114yescomplemented
343C2×C4⋊C4C2414yes—
344C2×C4⋊C4C2411yescharacteristic
345C2×C4⋊C4C2411yescharacteristic
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2412yes—
349C2×C4⋊C4C2411yescharacteristic
350C2×C4⋊C4C2412yes—
351C2×C22⋊C4—28no—
352C2×C22⋊C4—21no—
353C2×C22⋊C4—24no—
354C2×C22⋊C4—24no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—21no—
361C2×C22⋊C4—21no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—21no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—21no—
366C2×C22⋊C4—48no—
367C2×C22⋊C4—48no—
368C2×C22⋊C4C2×D412yes—
369C2×C22⋊C4C2×D412yes—
370C2×C22⋊C4C2×D412yes—
371C2×C22⋊C4C2×D412yes—
372C2×C42—24no—
373C2×C42—21no—
374C2×C42—22no—
375C2×C42—22no—
376C2×C42—44no—
377C2×C42C2×D411yescharacteristic
378C2×C42C2×D411yescharacteristic
379C2×C42C2411yescharacteristic
380C2×C42C2411yescharacteristic
381#107—24no—
382#107—42no—
383#107—44no—
384#107—44no—
385C4⋊C8—24no—
386#102—24no—
387#102—42no—
388#102—44no—
389C22⋊C8—28no—
390C22⋊C8—22no—
391C22⋊C8—22no—
392C22⋊C8—24no—
393C22⋊C8—44no—
394C22⋊C8—44no—
395C4×C8—24no—
396#95—21no—
397#95—22no—
398#95—22no—
399#95—22no—
400#95—24no—
401#95—24no—
402#95—22no—
403#95—22no—
404#95—21no—
405#95—21no—
406#95—22no—
407#95—22no—
408#95—22no—
409C24—24no—
410C24—24no—
411C24—24no—
412C24—24no—
413C24—21no—
414C24—42no—
415C24—42no—
416C24C2×D818yes—
417C24C22×D412yes—
418C24C22×D412yes—
419C24C22×D411yescharacteristic
420#41—816no—
421C2×Q8—42no—
422C2×Q8—42no—
423C2×Q8—42no—
424C2×D4—24no—
425C2×D4—24no—
426C2×D4—232no—
427C2×D4—22no—
428C2×D4—22no—
429C2×D4—21no—
430C2×D4—22no—
431C2×D4—21no—
432C2×D4—22no—
433C2×D4—44no—
434C2×D4—42no—
435C2×D4—42no—
436C2×D4—44no—
437C2×D4—44no—
438C2×D4—42no—
439C2×D4—44no—
440C2×D4—82no—
441C2×D4—82no—
442C2×D4#12314yes—
443C2×D4C2×D818yes—
444C2×D4C2×D814yes—
445C2×D4C2×D814yes—
446C2×D4#13714yes—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—24no—
453C22×C4—22no—
454C22×C4—24no—
455C22×C4—24no—
456C22×C4—24no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—24no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—22no—
465C22×C4—24no—
466C22×C4—22no—
467C22×C4—24no—
468C22×C4—22no—
469C22×C4—21no—
470C22×C4—21no—
471C22×C4—22no—
472C22×C4—21no—
473C22×C4—22no—
474C22×C4—24no—
475C22×C4—42no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—41no—
479C22×C4—416no—
480C22×C4—416no—
481C22×C4—48no—
482C22×C4—48no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—44no—
488C22×C4—44no—
489C22×C4—42no—
490C22×C4—44no—
491C22×C4—44no—
492C22×C4—48no—
493C22×C4—48no—
494C22×C4—44no—
495C22×C4—44no—
496C22×C4—44no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—84no—
501C22×C4—84no—
502C22×C4—82no—
503C22×C4—82no—
504C22×C4—832no—
505C22×C4C2×D814yes—
506C22×C4C22×D411yescharacteristic
507C22×C4C22×D412yes—
508C22×C4C22×D411yescharacteristic
509C22×C4C22×D412yes—
510C22×C4C22×D411yescharacteristic
511C22×C4C22×D411yescharacteristic
512C22×C4C22×D411yescharacteristic
513C22×C4C2×#4118yes—
514C22×C4C2×#4112yes—
515C22×C4H(5,𝔽2)12yes—
516C22×C4C2511yescharacteristic
517C2×C8—22no—
518C2×C8—22no—
519C2×C8—22no—
520C2×C8—24no—
521C2×C8—22no—
522C2×C8—24no—
523C2×C8—22no—
524C2×C8—24no—
525C2×C8—22no—
526C2×C8—88no—
527C4⋊C4—24no—
528C4⋊C4—22no—
529C4⋊C4—24no—
530C4⋊C4—22no—
531C4⋊C4—21no—
532C4⋊C4—24no—
533C4⋊C4—22no—
534C4⋊C4—24no—
535C4⋊C4—24no—
536C4⋊C4—21no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—24no—
541C4⋊C4—48no—
542C4⋊C4—48no—
543C4⋊C4—42no—
544C4⋊C4—44no—
545C4⋊C4—42no—
546C4⋊C4—44no—
547C4⋊C4—44no—
548C4⋊C4—44no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—44no—
552C4⋊C4—81no—
553C4⋊C4—82no—
554C4⋊C4—82no—
555C4⋊C4—82no—
556C4⋊C4#12314yes—
557C4⋊C4C2×#4114yes—
558C22⋊C4—24no—
559C22⋊C4—24no—
560C22⋊C4—24no—
561C22⋊C4—42no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—44no—
565C22⋊C4—44no—
566C22⋊C4—44no—
567C22⋊C4—44no—
568C22⋊C4—44no—
569C22⋊C4—42no—
570C22⋊C4—44no—
571C22⋊C4—42no—
572C22⋊C4—42no—
573C22⋊C4—81no—
574C22⋊C4—82no—
575C22⋊C4#12318yes—
576C42—22no—
577C42—22no—
578C42—22no—
579C42—44no—
580C42—44no—
581C42—42no—
582C42C2×#4114yes—
583C23—21no—
584C23—22no—
585C23—21no—
586C23—22no—
587C23—21no—
588C23—22no—
589C23—21no—
590C23—22no—
591C23—22no—
592C23—216no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—216no—
597C23—22no—
598C23—22no—
599C23—48no—
600C23—48no—
601C23—48no—
602C23—48no—
603C23—48no—
604C23—41no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23C2×#12314yes—
612C23#54612yes—
613C23C22×D814yes—
614C23C22×D814yes—
615C23C22×D812yes—
616C23C2×#13714yes—
617C23#57712yes—
618C23C23×D411yescharacteristic
619Q8—84no—
620D4—216no—
621D4—28no—
622D4—42no—
623D4—42no—
624D4—88no—
625D4—84no—
626D4—164no—
627D4#480116yescomplemented
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—21no—
633C2×C4—22no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—28no—
637C2×C4—24no—
638C2×C4—28no—
639C2×C4—28no—
640C2×C4—24no—
641C2×C4—21no—
642C2×C4—21no—
643C2×C4—22no—
644C2×C4—24no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—21no—
648C2×C4—48no—
649C2×C4—44no—
650C2×C4—48no—
651C2×C4—48no—
652C2×C4—48no—
653C2×C4—42no—
654C2×C4—42no—
655C2×C4—44no—
656C2×C4—44no—
657C2×C4—41no—
658C2×C4—42no—
659C2×C4—42no—
660C2×C4—41no—
661C2×C4—42no—
662C2×C4—41no—
663C2×C4—44no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—41no—
667C2×C4—42no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—41no—
672C2×C4—42no—
673C2×C4—44no—
674C2×C4—41no—
675C2×C4—42no—
676C2×C4—44no—
677C2×C4—41no—
678C2×C4—816no—
679C2×C4—816no—
680C2×C4—84no—
681C2×C4—88no—
682C2×C4—88no—
683C2×C4—84no—
684C2×C4—164no—
685C2×C4C2×#12312yes—
686C2×C4C2×#12314yes—
687C2×C4C2×#12312yes—
688C2×C4#54612yes—
689C2×C4C22×D812yes—
690C2×C4C22×D812yes—
691C2×C4C2×#13712yes—
692C2×C4C22×#4111yescharacteristic
693C2×C4C22×#4112yes—
694C2×C4C2×H(5,𝔽2)11yescharacteristic
695C2×C4#58512yes—
696C8—42no—
697C8—44no—
698C8—42no—
699C22—22no—
700C22—24no—
701C22—22no—
702C22—24no—
703C22—22no—
704C22—22no—
705C22—24no—
706C22—24no—
707C22—22no—
708C22—24no—
709C22—22no—
710C22—24no—
711C22—24no—
712C22—24no—
713C22—24no—
714C22—432no—
715C22—42no—
716C22—42no—
717C22—42no—
718C22—42no—
719C22—81no—
720C22—81no—
721C22—81no—
722C22—81no—
723C22—81no—
724C22—81no—
725C22—81no—
726C22C2×#48018yes—
727C22#329414yes—
728C22C22×#12311yescharacteristic
729C22C2×#54611yescharacteristic
730C22#348511yescharacteristic
731C22C23×D811yescharacteristic
732C22C22×#13711yescharacteristic
733C22C2×#57711yescharacteristic
734C22#358611yescharacteristic
735C4—22no—
736C4—24no—
737C4—22no—
738C4—22no—
739C4—42no—
740C4—41no—
741C4—44no—
742C4—81no—
743C4—82no—
744C4—84no—
745C4—81no—
746C4—82no—
747C4—81no—
748C4—82no—
749C4C2×#48014yes—
750C4#347512yes—
751C4#351312yes—
752C2—24no—
753C2—28no—
754C2—44no—
755C2—161no—
756C2#3615511yescharacteristic
757C2C22×#48011yescharacteristic
758C2#6052211yescharacteristic
759C2C2×#329411yescharacteristic
760C2#6115711yescharacteristic
761C2#6169411yescharacteristic
762C2#6173511yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36153C2
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. #33146C2semidirect
4. #32978C2semidirect
5. #27960C2semidirect
6. #27644C2semidirect
7. #27600C2semidirect
8. #26296C2semidirect
9. #26198C2semidirect
10. #24965C2semidirect
11. #24933C2semidirect
12. #24550C2semidirect
13. #22705C2semidirect
14. #22485C2semidirect
15. D4×C22⋊C8C2semidirect
16. C4×#480C2semidirect
17. C2×#1823C2semidirect
52. #2099C22semidirect
53. #2083C22semidirect
54. #2075C22semidirect
55. #2075C22semidirect
56. #2075C22semidirect
57. #2071C22semidirect
58. #2033C22semidirect
59. #1990C22semidirect
60. #1988C22semidirect
62. #1947C22semidirect
63. #1947C22semidirect
64. #1925C22semidirect
65. #1918C22semidirect
66. #1918C22semidirect
67. #1893C22semidirect
69. #1874C22semidirect
70. #1874C22semidirect
74. #1852C22semidirect
75. #1852C22semidirect
76. #1852C22semidirect
77. #1834C22semidirect
83. #1823C22semidirect
84. #1823C22semidirect
85. #1823C22semidirect
86. #1808C22semidirect
87. #1802C22semidirect
90. C4×#107C22semidirect
91. C4×#102C22semidirect
93. C2×#340C22semidirect
94. C2×#340C22semidirect
342. C2×C4⋊C4#41semidirect
627. D4#480semidirect

Maximal subgroups

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

subgroupindex
#361532
C2×D4×C4⋊C42
#331462
#329782
#279602
#276442
#276002
#262962
#261982
#249652
#249332
#245502
#227052
#224852
D4×C22⋊C82
C4×#4802
C2×#18232