Finite Group Databasebeta

← #6605413

Subgroups — #6605413

Order 512.

2397 conjugacy classes of subgroups.

The subgroup lattice has 757 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D4×C22⋊Q8C211yesmaximal, characteristic
2C2×D4×C4⋊C4C211yesmaximal, characteristic
3#33108C211yesmaximal, characteristic, complemented
4#32982C212yesmaximal, complemented
5#27972C211yesmaximal, characteristic, complemented
6#27680C211yesmaximal, characteristic, complemented
7#26234C212yesmaximal, complemented
8#26200C214yesmaximal, complemented
9#24969C212yesmaximal, complemented
10#24863C214yesmaximal, complemented
11#24551C212yesmaximal, complemented
12#24003C212yesmaximal, complemented
13#22703C212yesmaximal, complemented
14D4×#103C212yesmaximal, complemented
15D4×C22⋊C8C211yesmaximal, characteristic
16C4×#483C211yesmaximal, characteristic, complemented
17C2×#1872C212yesmaximal, complemented
18C2×D4×Q8C2211yescharacteristic
19C22×C22⋊Q8C2212yes—
20C22×C4×D4—21no—
21C22×C4×D4C2211yescharacteristic
22C23×C4⋊C4C2212yes—
23C2×#483C2211yescharacteristic
24C2×#483C2212yes—
25C2×#483C2214yescomplemented
26C2×C8×D4C2212yes—
27C22×#103C2214yescomplemented
28C22×C22⋊C8C2212yes—
29#2857C2211yescharacteristic
30#2848C2212yes—
31#2542C2211yescharacteristic
32#2538C2211yescharacteristic
33#2452—21no—
34#2449—22no—
35#2440—21no—
36#2437—22no—
37#2417C2212yes—
38#2409C2212yes—
39D4×C4⋊C4—21no—
40D4×C4⋊C4—22no—
41D4×C4⋊C4—21no—
42D4×C4⋊C4—21no—
43D4×C4⋊C4C2214yes—
44D4×C4⋊C4C2212yes—
45D4×C4⋊C4C2212yes—
46D4×C4⋊C4C2211yescharacteristic
47D4×C22⋊C4—21no—
48C4×C22⋊Q8C2211yescharacteristic
49C2×#389—21no—
50C2×#385—22no—
51C2×#384C2211yescharacteristic
52C2×#380C2212yes—
53C2×C4×C4⋊C4C2211yescharacteristic
54#2099C2212yescomplemented
55#2096C2212yescomplemented
56#2077C2214yescomplemented
57#2072C2214yescomplemented
58#2035C2214yescomplemented
59#2035C2214yescomplemented
60#2035C2214yescomplemented
61#1981C2212yescomplemented
62#1956C2212yescomplemented
63#1954C2212yes—
64#1948C2212yescomplemented
65#1948C2212yescomplemented
66#1927C2212yescomplemented
67#1927C2214yescomplemented
68#1920C2212yescomplemented
69#1892C2214yescomplemented
70#1872C2212yes—
71#1872C2212yes—
72#1872C2212yes—
73#1872C2211yescharacteristic
74#1872C2212yes—
75#1872C2214yescomplemented
76#1872C2214yescomplemented
77#1872C2214yescomplemented
78#1869C2214yes—
79#1853C2212yes—
80#1853C2211yescharacteristic
81#1853C2214yescomplemented
82#1853C2214yescomplemented
83#1834C2212yescomplemented
84#1823C2211yescharacteristic
85#1823C2214yescomplemented
86#1807C2214yescomplemented
87#1803C2212yescomplemented
88#1797C2211yescharacteristic
89#1787C2214yescomplemented
90#1779C2212yes—
91C4×#106C2212yescomplemented
92C4×#103C2212yescomplemented
93C4×C22⋊C8C2211yescharacteristic
94C2×#340C2214yescomplemented
95C23×Q8C2312yes—
96C23×D4D411yescharacteristic
97C24×C4—22no—
98C24×C4C2312yes—
99C23×C8C2314yes—
100D4×Q8—28no—
101C2×C4⋊Q8—21no—
102C2×C4⋊Q8C2311yescharacteristic
103C2×C22⋊Q8—22no—
104C2×C22⋊Q8—22no—
105C2×C22⋊Q8—22no—
106C2×C22⋊Q8—28no—
107C2×C22⋊Q8—44no—
108C2×C22⋊Q8C2312yes—
109C2×C22⋊Q8C2312yes—
110C2×C22⋊Q8C2312yes—
111C2×C22⋊Q8C2312yes—
112C2×C22⋊Q8C2311yescharacteristic
113C2×C22⋊Q8C2312yes—
114C2×C4×Q8C2311yescharacteristic
115C2×C4×D4—28no—
116C2×C4×D4—21no—
117C2×C4×D4—21no—
118C2×C4×D4—24no—
119C2×C4×D4—22no—
120C2×C4×D4—22no—
121C2×C4×D4—48no—
122C2×C4×D4D411yescharacteristic
123C2×C4×D4D412yes—
124C2×C4×D4D411yescharacteristic
125C2×C4×D4C2312yes—
126C2×C4×D4C2311yescharacteristic
127C2×C4×D4C2311yescharacteristic
128C22×C4⋊C4—22no—
129C22×C4⋊C4—22no—
130C22×C4⋊C4—22no—
131C22×C4⋊C4—22no—
132C22×C4⋊C4—21no—
133C22×C4⋊C4—21no—
134C22×C4⋊C4—48no—
135C22×C4⋊C4D411yescharacteristic
136C22×C4⋊C4C2311yescharacteristic
137C22×C4⋊C4C2311yescharacteristic
138C22×C4⋊C4C2314yes—
139C22×C4⋊C4C2314yes—
140C22×C4⋊C4C2312yes—
141C22×C4⋊C4C2312yes—
142C22×C22⋊C4—22no—
143C22×C22⋊C4—22no—
144C22×C22⋊C4D412yes—
145C22×C42—21no—
146C22×C42C2311yescharacteristic
147#483—24no—
148#483—44no—
149#483—48no—
150C8×D4—28no—
151C2×#106C2312yes—
152C2×#106C2312yes—
153C2×#106C2314yes—
154C2×#106C2314yes—
155C2×C4⋊C8C2312yes—
156C2×#103—48no—
157C2×#103C2312yes—
158C2×#103C2314yes—
159C2×#103C2312yes—
160C2×#103C2314yes—
161C2×#103C2314yes—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×C22⋊C8—44no—
165C2×C22⋊C8C2312yes—
166C2×C22⋊C8C2311yescharacteristic
167C2×C22⋊C8C2311yescharacteristic
168C2×C22⋊C8C2314yes—
169C2×C22⋊C8C2314yes—
170C2×C22⋊C8C2314yes—
171C2×C4×C8C2312yes—
172#399—22no—
173#398—22no—
174#396—22no—
175#396—22no—
176#395—22no—
177#393—22no—
178#391C2312yes—
179#391C2311yescharacteristic
180#390—21no—
181#390—21no—
182#389—22no—
183#389—24no—
184#389—22no—
185#389—21no—
186#389—21no—
187#389—21no—
188#389—21no—
189#389C2311yescharacteristic
190#387—21no—
191#386—22no—
192#386—22no—
193#385—22no—
194#385—22no—
195#385—22no—
196#385—21no—
197#385—24no—
198#385—24no—
199#385—24no—
200#385—24no—
201#385—22no—
202#385—22no—
203#384—21no—
204#384—21no—
205#384—21no—
206#384C2312yes—
207#384C2312yes—
208#384C2311yescharacteristic
209#380—21no—
210#380—21no—
211#380—22no—
212#380—22no—
213#380—22no—
214#380C2312yes—
215#380C2314yes—
216#380C2312yes—
217#380C2314yes—
218#380C2311yescharacteristic
219#379—22no—
220C4×C4⋊C4—21no—
221C4×C4⋊C4—21no—
222C4×C4⋊C4—21no—
223C4×C4⋊C4C2312yes—
224C4×C4⋊C4C2312yes—
225C4×C4⋊C4C2311yescharacteristic
226C4×C22⋊C4—21no—
227C2×#95—21no—
228C2×#95—22no—
229#340C2314yes—
230#340C2312yes—
231#340C2314yes—
232#340C2314yes—
233#340C2312yes—
234#340C2312yes—
235#340C2314yes—
236#340C2314yes—
237#340C2312yes—
238#336C2312yes—
239#336C2312yes—
240C25C2×D412yes—
241C22×Q8—22no—
242C22×Q8—24no—
243C22×Q8—28no—
244C22×Q8—42no—
245C22×Q8—44no—
246C22×Q8C2412yes—
247C22×Q8C2411yescharacteristic
248C22×D4—24no—
249C22×D4—24no—
250C22×D4SD1618yes—
251C22×D4C2×D412yes—
252C22×D4C2×D411yescharacteristic
253C22×D4C2×D411yescharacteristic
254C23×C4—21no—
255C23×C4—28no—
256C23×C4—24no—
257C23×C4—24no—
258C23×C4—21no—
259C23×C4—22no—
260C23×C4—22no—
261C23×C4—22no—
262C23×C4—24no—
263C23×C4—24no—
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—
283C4⋊Q8—44no—
284C22⋊Q8—22no—
285C22⋊Q8—24no—
286C22⋊Q8—24no—
287C22⋊Q8—28no—
288C22⋊Q8—24no—
289C22⋊Q8—24no—
290C22⋊Q8—48no—
291C22⋊Q8—42no—
292C22⋊Q8—42no—
293C22⋊Q8—48no—
294C22⋊Q8—48no—
295C22⋊Q8—44no—
296C22⋊Q8#4114yes—
297C4×Q8—24no—
298C4×D4—24no—
299C4×D4—28no—
300C4×D4—24no—
301C4×D4—28no—
302C4×D4—24no—
303C4×D4—44no—
304C4×D4—416no—
305C4×D4—48no—
306C4×D4—48no—
307C4×D4—44no—
308C4×D4#4118yes—
309C2×C4⋊C4—21no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—24no—
312C2×C4⋊C4—24no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—24no—
316C2×C4⋊C4—28no—
317C2×C4⋊C4—28no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—24no—
320C2×C4⋊C4—24no—
321C2×C4⋊C4—22no—
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—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—44no—
339C2×C4⋊C4—44no—
340C2×C4⋊C4—44no—
341C2×C4⋊C4—42no—
342C2×C4⋊C4—48no—
343C2×C4⋊C4—48no—
344C2×C4⋊C4—48no—
345C2×C4⋊C4—48no—
346C2×C4⋊C4—44no—
347C2×C4⋊C4—82no—
348C2×C4⋊C4C2×D411yescharacteristic
349C2×C4⋊C4C2×D412yes—
350C2×C4⋊C4C2×D411yescharacteristic
351C2×C4⋊C4C2414yes—
352C2×C4⋊C4C2412yes—
353C2×C4⋊C4C2412yes—
354C2×C4⋊C4C2411yescharacteristic
355C2×C4⋊C4C2411yescharacteristic
356C2×C4⋊C4C2411yescharacteristic
357C2×C4⋊C4C2412yes—
358C2×C22⋊C4—21no—
359C2×C22⋊C4—28no—
360C2×C22⋊C4—24no—
361C2×C22⋊C4—24no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—21no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—48no—
371C2×C22⋊C4—48no—
372C2×C22⋊C4C2×D412yes—
373C2×C22⋊C4C2×D412yes—
374C2×C22⋊C4C2×D412yes—
375C2×C22⋊C4C2×D412yes—
376C2×C42—24no—
377C2×C42—22no—
378C2×C42—22no—
379C2×C42—21no—
380C2×C42—21no—
381C2×C42—44no—
382C2×C42C2×D411yescharacteristic
383C2×C42C2×D411yescharacteristic
384C2×C42C2411yescharacteristic
385C2×C42C2411yescharacteristic
386#106—24no—
387#106—24no—
388#106—44no—
389#106—44no—
390C4⋊C8—24no—
391#103—24no—
392#103—24no—
393#103—28no—
394#103—44no—
395#103—44no—
396#103—44no—
397#103—44no—
398C22⋊C8—28no—
399C22⋊C8—22no—
400C22⋊C8—22no—
401C22⋊C8—24no—
402C22⋊C8—44no—
403C22⋊C8—44no—
404C4×C8—24no—
405#95—22no—
406#95—22no—
407#95—24no—
408#95—24no—
409#95—21no—
410#95—21no—
411#95—21no—
412#95—21no—
413#95—21no—
414#95—22no—
415#95—22no—
416#95—22no—
417#95—22no—
418C24—24no—
419C24—24no—
420C24—24no—
421C24—24no—
422C24—42no—
423C24—42no—
424C24C2×SD1618yes—
425C24C22×D412yes—
426C24C22×D412yes—
427C24C22×D411yescharacteristic
428C2×Q8—21no—
429C2×Q8—22no—
430C2×Q8—22no—
431C2×Q8—24no—
432C2×Q8—22no—
433C2×Q8—24no—
434C2×Q8—22no—
435C2×Q8—44no—
436C2×Q8—416no—
437C2×Q8—44no—
438C2×Q8—82no—
439C2×Q8—88no—
440C2×Q8C2×#4112yes—
441C2×D4—24no—
442C2×D4—24no—
443C2×D4—232no—
444C2×D4—22no—
445C2×D4—22no—
446C2×D4#12314yes—
447C2×D4C2×SD1618yes—
448C2×D4C2×SD1614yes—
449C2×D4C2×SD1614yes—
450C2×D4#13714yes—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—24no—
457C22×C4—22no—
458C22×C4—24no—
459C22×C4—24no—
460C22×C4—24no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—22no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—24no—
474C22×C4—22no—
475C22×C4—21no—
476C22×C4—21no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—41no—
484C22×C4—416no—
485C22×C4—416no—
486C22×C4—44no—
487C22×C4—44no—
488C22×C4—48no—
489C22×C4—48no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—44no—
493C22×C4—44no—
494C22×C4—44no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—44no—
498C22×C4—48no—
499C22×C4—48no—
500C22×C4—44no—
501C22×C4—42no—
502C22×C4—82no—
503C22×C4—84no—
504C22×C4—84no—
505C22×C4—82no—
506C22×C4—832no—
507C22×C4C2×SD1614yes—
508C22×C4C22×D411yescharacteristic
509C22×C4C22×D412yes—
510C22×C4C22×D411yescharacteristic
511C22×C4C22×D412yes—
512C22×C4C22×D411yescharacteristic
513C22×C4C22×D411yescharacteristic
514C22×C4C22×D411yescharacteristic
515C22×C4C2×#4118yes—
516C22×C4C2×#4112yes—
517C22×C4H(5,𝔽2)12yes—
518C22×C4C2511yescharacteristic
519C2×C8—22no—
520C2×C8—22no—
521C2×C8—22no—
522C2×C8—24no—
523C2×C8—22no—
524C2×C8—24no—
525C2×C8—22no—
526C2×C8—24no—
527C2×C8—22no—
528C2×C8—88no—
529C4⋊C4—24no—
530C4⋊C4—24no—
531C4⋊C4—22no—
532C4⋊C4—24no—
533C4⋊C4—22no—
534C4⋊C4—21no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—24no—
540C4⋊C4—24no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—48no—
544C4⋊C4—48no—
545C4⋊C4—44no—
546C4⋊C4—44no—
547C4⋊C4—44no—
548C4⋊C4—44no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—44no—
552C4⋊C4—42no—
553C4⋊C4—42no—
554C4⋊C4—44no—
555C4⋊C4—44no—
556C4⋊C4—44no—
557C4⋊C4—42no—
558C4⋊C4—81no—
559C4⋊C4—81no—
560C4⋊C4—82no—
561C4⋊C4—82no—
562C4⋊C4—82no—
563C4⋊C4#12314yes—
564C4⋊C4C2×#4112yes—
565C4⋊C4H(5,𝔽2)14yes—
566C22⋊C4—24no—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—24no—
570C22⋊C4—44no—
571C22⋊C4—44no—
572C22⋊C4—44no—
573C22⋊C4—44no—
574C22⋊C4—48no—
575C22⋊C4—48no—
576C22⋊C4—44no—
577C22⋊C4—42no—
578C22⋊C4—82no—
579C22⋊C4—82no—
580C22⋊C4#12318yes—
581C42—22no—
582C42—22no—
583C42—22no—
584C42—42no—
585C42—44no—
586C42—44no—
587C42—42no—
588C42C2×#4114yes—
589C23—21no—
590C23—22no—
591C23—21no—
592C23—22no—
593C23—21no—
594C23—22no—
595C23—21no—
596C23—22no—
597C23—22no—
598C23—216no—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—216no—
603C23—22no—
604C23—22no—
605C23—48no—
606C23—48no—
607C23—48no—
608C23—48no—
609C23—48no—
610C23C2×#12314yes—
611C23#54612yes—
612C23C22×SD1614yes—
613C23C22×SD1614yes—
614C23C22×SD1612yes—
615C23C2×#13714yes—
616C23#57812yes—
617C23C23×D411yescharacteristic
618Q8—24no—
619Q8—42no—
620Q8—44no—
621Q8—44no—
622Q8—88no—
623D4—216no—
624D4—28no—
625D4#483116yescomplemented
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—22no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—28no—
635C2×C4—24no—
636C2×C4—28no—
637C2×C4—28no—
638C2×C4—24no—
639C2×C4—21no—
640C2×C4—21no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—22no—
644C2×C4—22no—
645C2×C4—24no—
646C2×C4—22no—
647C2×C4—21no—
648C2×C4—48no—
649C2×C4—44no—
650C2×C4—48no—
651C2×C4—48no—
652C2×C4—48no—
653C2×C4—41no—
654C2×C4—42no—
655C2×C4—41no—
656C2×C4—41no—
657C2×C4—42no—
658C2×C4—41no—
659C2×C4—44no—
660C2×C4—44no—
661C2×C4—41no—
662C2×C4—42no—
663C2×C4—44no—
664C2×C4—41no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—41no—
670C2×C4—42no—
671C2×C4—44no—
672C2×C4—42no—
673C2×C4—44no—
674C2×C4—41no—
675C2×C4—42no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—42no—
679C2×C4—88no—
680C2×C4—816no—
681C2×C4—816no—
682C2×C4—88no—
683C2×C4—88no—
684C2×C4—84no—
685C2×C4C2×#12312yes—
686C2×C4C2×#12314yes—
687C2×C4C2×#12312yes—
688C2×C4#54612yes—
689C2×C4C22×SD1612yes—
690C2×C4C22×SD1612yes—
691C2×C4C2×#13712yes—
692C2×C4C22×#4111yescharacteristic
693C2×C4C22×#4112yes—
694C2×C4C2×H(5,𝔽2)12yes—
695C2×C4C2×H(5,𝔽2)11yescharacteristic
696C8—42no—
697C8—44no—
698C8—42no—
699C22—22no—
700C22—22no—
701C22—24no—
702C22—22no—
703C22—24no—
704C22—22no—
705C22—24no—
706C22—22no—
707C22—24no—
708C22—24no—
709C22—24no—
710C22—22no—
711C22—24no—
712C22—24no—
713C22—24no—
714C22—432no—
715C22—42no—
716C22—42no—
717C22—42no—
718C22—42no—
719C22C2×#48318yes—
720C22#329814yes—
721C22C22×#12311yescharacteristic
722C22C2×#54611yescharacteristic
723C22#348411yescharacteristic
724C22C23×SD1611yescharacteristic
725C22C22×#13711yescharacteristic
726C22C2×#57811yescharacteristic
727C22#358511yescharacteristic
728C4—22no—
729C4—22no—
730C4—22no—
731C4—24no—
732C4—41no—
733C4—44no—
734C4—42no—
735C4—42no—
736C4—42no—
737C4—81no—
738C4—84no—
739C4—82no—
740C4—81no—
741C4—82no—
742C4—82no—
743C4C2×#48314yes—
744C4#348112yes—
745C4#351912yes—
746C2—24no—
747C2—28no—
748C2—44no—
749C2#3623611yescharacteristic
750C2C22×#48311yescharacteristic
751C2#6052611yescharacteristic
752C2C2×#329811yescharacteristic
753C2#6116211yescharacteristic
754C2#6156011yescharacteristic
755C2#6160211yescharacteristic
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. #33108C2semidirect
4. #32982C2semidirect
5. #27972C2semidirect
6. #27680C2semidirect
7. #26234C2semidirect
8. #26200C2semidirect
9. #24969C2semidirect
10. #24863C2semidirect
11. #24551C2semidirect
12. #24003C2semidirect
13. #22703C2semidirect
14. D4×#103C2semidirect
16. C4×#483C2semidirect
17. C2×#1872C2semidirect
25. C2×#483C22semidirect
27. C22×#103C22semidirect
54. #2099C22semidirect
55. #2096C22semidirect
56. #2077C22semidirect
57. #2072C22semidirect
58. #2035C22semidirect
59. #2035C22semidirect
60. #2035C22semidirect
61. #1981C22semidirect
62. #1956C22semidirect
64. #1948C22semidirect
65. #1948C22semidirect
66. #1927C22semidirect
67. #1927C22semidirect
68. #1920C22semidirect
69. #1892C22semidirect
75. #1872C22semidirect
76. #1872C22semidirect
77. #1872C22semidirect
81. #1853C22semidirect
82. #1853C22semidirect
83. #1834C22semidirect
85. #1823C22semidirect
86. #1807C22semidirect
87. #1803C22semidirect
89. #1787C22semidirect
91. C4×#106C22semidirect
92. C4×#103C22semidirect
94. C2×#340C22semidirect
625. D4#483semidirect

Maximal subgroups

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

subgroupindex
D4×C22⋊Q82
C2×D4×C4⋊C42
#331082
#329822
#279722
#276802
#262342
#262002
#249692
#248632
#245512
#240032
#227032
D4×#1032
D4×C22⋊C82
C4×#4832
C2×#18722