Finite Group Databasebeta

← #6792689

Subgroups — #6792689

Order 512.

2047 conjugacy classes of subgroups.

The subgroup lattice has 753 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D4×C22⋊Q8C211yesmaximal, characteristic
2C2×#2547C211yesmaximal, characteristic
3#33108C211yesmaximal, characteristic, complemented
4#31320C214yesmaximal, complemented
5#31262C214yesmaximal, complemented
6#29893C212yesmaximal, complemented
7#28600C212yesmaximal, complemented
8#26298C212yesmaximal, complemented
9#25902C211yesmaximal, characteristic, complemented
10#25884C212yesmaximal, complemented
11#25341C212yesmaximal, complemented
12#24551C212yesmaximal, complemented
13#24301C211yesmaximal, characteristic, complemented
14#24003C212yesmaximal, complemented
15D4×C22⋊C8C211yesmaximal, characteristic
16#21759C212yesmaximal, complemented
17C4×#483C211yesmaximal, characteristic, complemented
18C2×D4×Q8C2211yescharacteristic
19C22×C4⋊Q8C2211yescharacteristic
20C22×#124—21no—
21C22×C22⋊Q8C2212yes—
22C22×C4×D4C2211yescharacteristic
23C2×#487C2212yescomplemented
24C2×#483C2211yescharacteristic
25C2×#483C2212yes—
26C2×#475C2212yescomplemented
27C2×C8×D4C2212yes—
28C22×C22⋊C8C2212yes—
29#2857C2211yescharacteristic
30#2848C2212yes—
31#2547—21no—
32#2547—22no—
33#2547—21no—
34#2547C2212yes—
35#2547C2214yes—
36#2547C2212yes—
37#2542C2211yescharacteristic
38#2538C2211yescharacteristic
39#2452—21no—
40#2449—22no—
41#2440—21no—
42#2437—22no—
43#2417C2212yes—
44#2409C2212yes—
45C2×#397—22no—
46D4×C4⋊C4—21no—
47D4×C4⋊C4C2211yescharacteristic
48D4×C22⋊C4—21no—
49C4×C22⋊Q8C2211yescharacteristic
50C2×#391—21no—
51C2×#380C2212yes—
52C2×#380C2212yes—
53C2×C4×C4⋊C4C2211yescharacteristic
54#2077C2214yescomplemented
55#2077C2214yescomplemented
56#2077C2214yescomplemented
57#2058C2212yescomplemented
58#2035C2214yescomplemented
59#2035C2214yescomplemented
60#2035C2214yescomplemented
61#2035C2214yescomplemented
62#2035C2214yescomplemented
63#2024C2212yescomplemented
64#2024C2214yescomplemented
65#1990C2212yescomplemented
66#1988C2212yescomplemented
67#1981C2212yescomplemented
68#1954C2212yes—
69#1948C2212yescomplemented
70#1927C2212yescomplemented
71#1927C2214yescomplemented
72#1920C2212yescomplemented
73#1892C2214yescomplemented
74#1892C2214yescomplemented
75#1892C2214yescomplemented
76#1872C2212yes—
77#1872C2212yes—
78#1872C2211yescharacteristic
79#1872C2212yes—
80#1872C2212yes—
81#1869C2214yes—
82#1853C2211yescharacteristic
83#1853C2212yes—
84#1853C2214yescomplemented
85#1824C2214yescomplemented
86#1823C2211yescharacteristic
87#1807C2214yescomplemented
88#1797C2211yescharacteristic
89#1787C2214yescomplemented
90#1787C2214yescomplemented
91#1779C2212yes—
92C4×#106C2212yescomplemented
93C4×#103C2212yescomplemented
94C4×C22⋊C8C2211yescharacteristic
95C23×Q8—21no—
96C23×Q8C2312yes—
97C23×D4D411yescharacteristic
98C24×C4C2312yes—
99C23×C8C2314yes—
100D4×Q8—44no—
101C2×C4⋊Q8—21no—
102C2×C4⋊Q8—21no—
103C2×C4⋊Q8—21no—
104C2×C4⋊Q8—44no—
105C2×C4⋊Q8C2311yescharacteristic
106C2×C4⋊Q8C2312yes—
107C2×C4⋊Q8C2312yes—
108C2×#124—22no—
109C2×#124—22no—
110C2×#124—24no—
111C2×#124—48no—
112C2×C22⋊Q8—22no—
113C2×C22⋊Q8—22no—
114C2×C22⋊Q8—22no—
115C2×C22⋊Q8—28no—
116C2×C22⋊Q8—44no—
117C2×C22⋊Q8C2312yes—
118C2×C22⋊Q8C2312yes—
119C2×C22⋊Q8C2312yes—
120C2×C22⋊Q8C2311yescharacteristic
121C2×C22⋊Q8C2312yes—
122C2×C22⋊Q8C2312yes—
123C2×C4×Q8C2311yescharacteristic
124C2×C4×D4—21no—
125C2×C4×D4—21no—
126C2×C4×D4—44no—
127C2×C4×D4D411yescharacteristic
128C2×C4×D4D412yes—
129C2×C4×D4D411yescharacteristic
130C2×C4×D4C2311yescharacteristic
131C2×C4×D4C2311yescharacteristic
132C2×C4×D4C2312yes—
133C22×C4⋊C4—22no—
134C22×C4⋊C4—21no—
135C22×C4⋊C4D411yescharacteristic
136C22×C4⋊C4C2311yescharacteristic
137C22×C4⋊C4C2312yes—
138C22×C4⋊C4C2312yes—
139C22×C4⋊C4C2311yescharacteristic
140C22×C22⋊C4—22no—
141C22×C22⋊C4—22no—
142C22×C22⋊C4—22no—
143C22×C22⋊C4D412yes—
144C22×C42—21no—
145C22×C42C2311yescharacteristic
146#487—44no—
147#483—24no—
148#483—44no—
149#475—44no—
150C8×D4—44no—
151C2×#106C2312yes—
152C2×#106C2314yes—
153C2×#106C2314yes—
154C2×#106C2312yes—
155C2×C4⋊C8C2312yes—
156C2×#103C2312yes—
157C2×#103C2314yes—
158C2×#103C2314yes—
159C2×#103C2314yes—
160C2×#103C2314yes—
161C2×#103C2312yes—
162C2×#103C2314yes—
163C2×C22⋊C8—44no—
164C2×C22⋊C8C2312yes—
165C2×C22⋊C8C2311yescharacteristic
166C2×C22⋊C8C2311yescharacteristic
167C2×C22⋊C8C2314yes—
168C2×C22⋊C8C2314yes—
169C2×C22⋊C8C2314yes—
170C2×C4×C8C2312yes—
171#399—22no—
172#398—22no—
173#397—24no—
174#397—24no—
175#397—24no—
176#397—24no—
177#396—22no—
178#396—22no—
179#395—22no—
180#393—22no—
181#391—22no—
182#391—22no—
183#391—24no—
184#391C2312yes—
185#391C2311yescharacteristic
186#390—21no—
187#390—21no—
188#389—21no—
189#389—21no—
190#389—21no—
191#389—21no—
192#389C2311yescharacteristic
193#387—21no—
194#386—22no—
195#386—22no—
196#385—22no—
197#385—22no—
198#385—22no—
199#385—21no—
200#385—22no—
201#385—22no—
202#384—21no—
203#384C2311yescharacteristic
204#380—21no—
205#380—21no—
206#380—22no—
207#380—22no—
208#380—22no—
209#380—22no—
210#380—22no—
211#380C2312yes—
212#380C2314yes—
213#380C2312yes—
214#380C2314yes—
215#380C2314yes—
216#380C2314yes—
217#380C2311yescharacteristic
218#379—22no—
219C4×C4⋊C4—21no—
220C4×C4⋊C4—21no—
221C4×C4⋊C4—21no—
222C4×C4⋊C4C2311yescharacteristic
223C4×C4⋊C4C2312yes—
224C4×C4⋊C4C2312yes—
225C4×C22⋊C4—21no—
226C2×#95—21no—
227C2×#95—22no—
228C2×#95—22no—
229#340C2314yes—
230#340C2312yes—
231#340C2314yes—
232#340C2312yes—
233#340C2314yes—
234#340C2314yes—
235#340C2312yes—
236#340C2314yes—
237#340C2312yes—
238#336C2312yes—
239#336C2312yes—
240C25C2×D412yes—
241C22×Q8—22no—
242C22×Q8—22no—
243C22×Q8—22no—
244C22×Q8—24no—
245C22×Q8—42no—
246C22×Q8—44no—
247C22×Q8—44no—
248C22×Q8—44no—
249C22×Q8—44no—
250C22×Q8—44no—
251C22×Q8C2412yes—
252C22×Q8C2411yescharacteristic
253C22×D4—42no—
254C22×D4—42no—
255C22×D4SD1618yes—
256C22×D4C2×D411yescharacteristic
257C22×D4C2×D411yescharacteristic
258C22×D4C2×D412yes—
259C23×C4—24no—
260C23×C4—24no—
261C23×C4—22no—
262C23×C4—21no—
263C23×C4—21no—
264C23×C4—22no—
265C23×C4—22no—
266C23×C4—44no—
267C23×C4—44no—
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D412yes—
271C23×C4C2×D412yes—
272C23×C4C2×D412yes—
273C23×C4C2412yes—
274C23×C4C2412yes—
275C23×C4C2411yescharacteristic
276C22×C8—44no—
277C22×C8—44no—
278C22×C8—44no—
279C22×C8C2412yes—
280C22×C8C2414yes—
281C22×C8C2412yes—
282C4⋊Q8—24no—
283C4⋊Q8—24no—
284C4⋊Q8—24no—
285C4⋊Q8—44no—
286C4⋊Q8—44no—
287C4⋊Q8—44no—
288C4⋊Q8—44no—
289#124—48no—
290#124—48no—
291#124—416no—
292C22⋊Q8—22no—
293C22⋊Q8—24no—
294C22⋊Q8—24no—
295C22⋊Q8—24no—
296C22⋊Q8—24no—
297C22⋊Q8—48no—
298C22⋊Q8—48no—
299C22⋊Q8—42no—
300C22⋊Q8—42no—
301C22⋊Q8—44no—
302C22⋊Q8—48no—
303C22⋊Q8—44no—
304C22⋊Q8#4114yes—
305C4×Q8—24no—
306C4×D4—24no—
307C4×D4—24no—
308C4×D4—44no—
309C4×D4—42no—
310C4×D4—42no—
311C4×D4—44no—
312C4×D4—44no—
313C4×D4—44no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—24no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—42no—
336C2×C4⋊C4—42no—
337C2×C4⋊C4—42no—
338C2×C4⋊C4—44no—
339C2×C4⋊C4—48no—
340C2×C4⋊C4—44no—
341C2×C4⋊C4C2×D411yescharacteristic
342C2×C4⋊C4C2×D411yescharacteristic
343C2×C4⋊C4C2×D412yes—
344C2×C4⋊C4C2412yes—
345C2×C4⋊C4C2414yes—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2411yescharacteristic
349C2×C4⋊C4C2411yescharacteristic
350C2×C4⋊C4C2411yescharacteristic
351C2×C22⋊C4—21no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—24no—
356C2×C22⋊C4—24no—
357C2×C22⋊C4—24no—
358C2×C22⋊C4—24no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—21no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—44no—
365C2×C22⋊C4—48no—
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—21no—
375C2×C42—22no—
376C2×C42—22no—
377C2×C42—44no—
378C2×C42C2×D411yescharacteristic
379C2×C42C2×D411yescharacteristic
380C2×C42C2411yescharacteristic
381C2×C42C2411yescharacteristic
382#106—24no—
383#106—42no—
384#106—44no—
385#106—44no—
386C4⋊C8—24no—
387#103—24no—
388#103—44no—
389#103—42no—
390#103—44no—
391#103—44no—
392#103—44no—
393#103—44no—
394C22⋊C8—22no—
395C22⋊C8—22no—
396C22⋊C8—24no—
397C22⋊C8—44no—
398C22⋊C8—44no—
399C22⋊C8—44no—
400C4×C8—24no—
401#95—22no—
402#95—22no—
403#95—24no—
404#95—24no—
405#95—24no—
406#95—24no—
407#95—21no—
408#95—21no—
409#95—21no—
410#95—21no—
411#95—21no—
412#95—22no—
413#95—22no—
414#95—22no—
415#95—22no—
416C24—24no—
417C24—24no—
418C24—42no—
419C24—42no—
420C24—42no—
421C24—42no—
422C24C2×SD1618yes—
423C24C22×D412yes—
424C24C22×D412yes—
425C24C22×D411yescharacteristic
426C2×Q8—21no—
427C2×Q8—22no—
428C2×Q8—22no—
429C2×Q8—22no—
430C2×Q8—24no—
431C2×Q8—22no—
432C2×Q8—24no—
433C2×Q8—44no—
434C2×Q8—44no—
435C2×Q8—44no—
436C2×Q8—44no—
437C2×Q8—44no—
438C2×Q8—44no—
439C2×Q8—44no—
440C2×Q8—44no—
441C2×Q8—82no—
442C2×Q8—816no—
443C2×Q8—88no—
444C2×Q8—88no—
445C2×Q8C2×#4112yes—
446C2×D4—22no—
447C2×D4—22no—
448C2×D4—22no—
449C2×D4—22no—
450C2×D4—416no—
451C2×D4—42no—
452C2×D4—42no—
453C2×D4C2×SD1614yes—
454C2×D4C2×SD1614yes—
455C2×D4C2×SD1618yes—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—24no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—22no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—22no—
482C22×C4—41no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—44no—
490C22×C4—44no—
491C22×C4—44no—
492C22×C4—42no—
493C22×C4—44no—
494C22×C4—44no—
495C22×C4—42no—
496C22×C4—44no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—44no—
501C22×C4—42no—
502C22×C4—88no—
503C22×C4—88no—
504C22×C4—82no—
505C22×C4—82no—
506C22×C4C2×SD1614yes—
507C22×C4C22×D411yescharacteristic
508C22×C4C22×D412yes—
509C22×C4C22×D412yes—
510C22×C4C22×D411yescharacteristic
511C22×C4C22×D411yescharacteristic
512C22×C4C22×D411yescharacteristic
513C22×C4C22×D411yescharacteristic
514C22×C4C2×#4112yes—
515C22×C4H(5,𝔽2)12yes—
516C22×C4C2511yescharacteristic
517C2×C8—22no—
518C2×C8—22no—
519C2×C8—22no—
520C2×C8—22no—
521C2×C8—24no—
522C2×C8—24no—
523C2×C8—22no—
524C2×C8—24no—
525C2×C8—22no—
526C2×C8—88no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—24no—
530C4⋊C4—21no—
531C4⋊C4—22no—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—24no—
535C4⋊C4—24no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—42no—
542C4⋊C4—44no—
543C4⋊C4—44no—
544C4⋊C4—44no—
545C4⋊C4—42no—
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—44no—
555C4⋊C4—42no—
556C4⋊C4—81no—
557C4⋊C4—81no—
558C4⋊C4—82no—
559C4⋊C4C2×#4112yes—
560C22⋊C4—24no—
561C22⋊C4—24no—
562C22⋊C4—24no—
563C22⋊C4—42no—
564C22⋊C4—42no—
565C22⋊C4—44no—
566C22⋊C4—44no—
567C22⋊C4—44no—
568C22⋊C4—44no—
569C22⋊C4—44no—
570C22⋊C4—48no—
571C22⋊C4—48no—
572C22⋊C4—48no—
573C22⋊C4—48no—
574C22⋊C4—42no—
575C22⋊C4—82no—
576C22⋊C4—82no—
577C42—22no—
578C42—22no—
579C42—22no—
580C42—42no—
581C42—44no—
582C42—44no—
583C42—42no—
584C42H(5,𝔽2)14yes—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—216no—
602C23—48no—
603C23—48no—
604C23—84no—
605C23—84no—
606C23—84no—
607C23—84no—
608C23#54612yes—
609C23C22×SD1614yes—
610C23C22×SD1614yes—
611C23C22×SD1612yes—
612C23#57812yes—
613C23C23×D411yescharacteristic
614Q8—24no—
615Q8—42no—
616Q8—44no—
617Q8—44no—
618Q8—88no—
619Q8—88no—
620Q8—88no—
621D4—28no—
622D4—28no—
623D4—48no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—28no—
631C2×C4—24no—
632C2×C4—24no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—21no—
644C2×C4—44no—
645C2×C4—41no—
646C2×C4—41no—
647C2×C4—41no—
648C2×C4—41no—
649C2×C4—44no—
650C2×C4—44no—
651C2×C4—44no—
652C2×C4—44no—
653C2×C4—41no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—41no—
657C2×C4—42no—
658C2×C4—44no—
659C2×C4—42no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—41no—
663C2×C4—42no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—44no—
668C2×C4—41no—
669C2×C4—42no—
670C2×C4—44no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—42no—
674C2×C4—84no—
675C2×C4—84no—
676C2×C4—84no—
677C2×C4—88no—
678C2×C4—88no—
679C2×C4—84no—
680C2×C4—88no—
681C2×C4—84no—
682C2×C4#53412yes—
683C2×C4#53412yes—
684C2×C4#54612yes—
685C2×C4C22×SD1612yes—
686C2×C4C22×SD1612yes—
687C2×C4#57512yes—
688C2×C4C22×#4111yescharacteristic
689C2×C4C2×H(5,𝔽2)12yes—
690C2×C4C2×H(5,𝔽2)11yescharacteristic
691C2×C4#58512yes—
692C8—42no—
693C8—44no—
694C8—42no—
695C22—22no—
696C22—22no—
697C22—22no—
698C22—22no—
699C22—22no—
700C22—22no—
701C22—24no—
702C22—24no—
703C22—24no—
704C22—24no—
705C22—24no—
706C22—24no—
707C22—42no—
708C22—42no—
709C22—42no—
710C22—42no—
711C22—42no—
712C22—42no—
713C22—42no—
714C22—42no—
715C22—816no—
716C22#329814yes—
717C22C2×#53411yescharacteristic
718C22C2×#54611yescharacteristic
719C22#348511yescharacteristic
720C22C23×SD1611yescharacteristic
721C22C2×#57511yescharacteristic
722C22C2×#57811yescharacteristic
723C22#358611yescharacteristic
724C4—22no—
725C4—22no—
726C4—22no—
727C4—41no—
728C4—42no—
729C4—42no—
730C4—42no—
731C4—42no—
732C4—81no—
733C4—84no—
734C4—81no—
735C4—82no—
736C4—82no—
737C4—82no—
738C4—82no—
739C4#318714yes—
740C4#351412yes—
741C4#355812yes—
742C2—24no—
743C2—44no—
744C2—44no—
745C2#3890611yescharacteristic
746C2C2×#318711yescharacteristic
747C2#6075911yescharacteristic
748C2C2×#329811yescharacteristic
749C2#6116511yescharacteristic
750C2#6169511yescharacteristic
751C2#6173011yescharacteristic
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. #31320C2semidirect
5. #31262C2semidirect
6. #29893C2semidirect
7. #28600C2semidirect
8. #26298C2semidirect
9. #25902C2semidirect
10. #25884C2semidirect
11. #25341C2semidirect
12. #24551C2semidirect
13. #24301C2semidirect
14. #24003C2semidirect
16. #21759C2semidirect
17. C4×#483C2semidirect
23. C2×#487C22semidirect
26. C2×#475C22semidirect
54. #2077C22semidirect
55. #2077C22semidirect
56. #2077C22semidirect
57. #2058C22semidirect
58. #2035C22semidirect
59. #2035C22semidirect
60. #2035C22semidirect
61. #2035C22semidirect
62. #2035C22semidirect
63. #2024C22semidirect
64. #2024C22semidirect
65. #1990C22semidirect
66. #1988C22semidirect
67. #1981C22semidirect
69. #1948C22semidirect
70. #1927C22semidirect
71. #1927C22semidirect
72. #1920C22semidirect
73. #1892C22semidirect
74. #1892C22semidirect
75. #1892C22semidirect
84. #1853C22semidirect
85. #1824C22semidirect
87. #1807C22semidirect
89. #1787C22semidirect
90. #1787C22semidirect
92. C4×#106C22semidirect
93. C4×#103C22semidirect

Maximal subgroups

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

subgroupindex
D4×C22⋊Q82
C2×#25472
#331082
#313202
#312622
#298932
#286002
#262982
#259022
#258842
#253412
#245512
#243012
#240032
D4×C22⋊C82
#217592
C4×#4832