Finite Group Databasebeta

← #6458945

Subgroups — #6458945

Order 512.

1942 conjugacy classes of subgroups.

The subgroup lattice has 780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C4×C22⋊Q8C211yesmaximal, characteristic
2#34012C211yesmaximal, characteristic
3#27685C212yesmaximal, complemented
4#27652C212yesmaximal, complemented
5#27635C214yesmaximal, complemented
6#27613C211yesmaximal, characteristic, complemented
7#27610C211yesmaximal, characteristic, complemented
8#27602C212yesmaximal
9#27586C211yesmaximal, characteristic, complemented
10#27583C211yesmaximal, characteristic, complemented
11#24010C212yesmaximal
12#23757C212yesmaximal, complemented
13#23756C212yesmaximal, complemented
14C4×#485C214yesmaximal, complemented
15#21361C212yesmaximal, complemented
16#20735C212yesmaximal, complemented
17#20714C211yesmaximal, characteristic
18C22×C22⋊Q8C2211yescharacteristic
19C22×C4×Q8C2211yescharacteristic
20C23×C42C2211yescharacteristic
21C2×#485C2214yes—
22C2×#431C2212yes—
23C4×C22⋊Q8—21no—
24C4×C22⋊Q8—21no—
25C4×C22⋊Q8—21no—
26C4×C22⋊Q8—21no—
27C4×C22⋊Q8C2212yes—
28C4×C22⋊Q8C2212yes—
29C4×C22⋊Q8C2212yes—
30C4×C22⋊Q8C2212yes—
31C2×#391C2211yescharacteristic
32C2×#389C2211yescharacteristic
33C2×#387—21no—
34C2×#385—21no—
35#2285C2211yescharacteristic
36#2285C2211yescharacteristic
37#2285C2211yescharacteristic
38#2285C2211yescharacteristic
39#2285C2211yescharacteristic
40#2285C2211yescharacteristic
41#2283—21no—
42#2283—21no—
43#2283—21no—
44#2283—21no—
45#2283C2212yes—
46#2283C2212yes—
47#2280—21no—
48#2280—21no—
49#2280C2212yes—
50C2×#380C2211yescharacteristic
51C4×#117—21no—
52C4×#117—21no—
53C4×#117C2212yes—
54C2×C4×C4⋊C4—21no—
55C2×C4×C4⋊C4C2211yescharacteristic
56C2×C4×C22⋊C4—21no—
57#2100C2212yescomplemented
58#2099C2212yescomplemented
59#2096C2212yescomplemented
60#2095C2212yescomplemented
61#2084C2212yescomplemented
62#2083C2212yescomplemented
63#2077C2214yes—
64#2076C2214yes—
65#2072C2212yescomplemented
66#2072C2212yescomplemented
67#2036C2214yes—
68#2035C2214yes—
69#1949C2214yescomplemented
70#1949C2214yescomplemented
71#1928C2214yescomplemented
72#1927C2214yescomplemented
73#1919C2214yescomplemented
74#1918C2214yescomplemented
75#1873C2214yes—
76#1854C2214yes—
77#1853C2212yes—
78#1853C2212yes—
79#1852C2212yes—
80#1852C2212yes—
81#1825C2214yes—
82#1823C2212yes—
83#1823C2212yes—
84#1817C2211yescharacteristic
85#1817C2211yescharacteristic
86#1805C2214yescomplemented
87#1805C2214yescomplemented
88#1797C2212yes—
89#1797C2212yes—
90#1787C2212yes—
91#1787C2212yes—
92#1779C2212yes—
93C4×#107C2214yescomplemented
94C4×#106C2214yescomplemented
95C4×#103C2214yescomplemented
96C4×#103C2214yescomplemented
97C4×C22⋊C8C2212yes—
98C4×C22⋊C8C2212yes—
99C23×Q8C2311yescharacteristic
100C24×C4D411yescharacteristic
101C24×C4D411yescharacteristic
102C24×C4C2311yescharacteristic
103C2×C22⋊Q8—21no—
104C2×C22⋊Q8—21no—
105C2×C22⋊Q8—28no—
106C2×C22⋊Q8C2312yes—
107C2×C22⋊Q8C2312yes—
108C2×C4×Q8—21no—
109C2×C4×Q8—21no—
110C2×C4×Q8—28no—
111C2×C4×Q8C2312yes—
112C2×C4×Q8C2312yes—
113C2×#117—21no—
114C2×#117—21no—
115C2×#117—21no—
116C2×#117—21no—
117C2×#117C2312yes—
118C2×#117C2312yes—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—21no—
121C22×C4⋊C4—21no—
122C22×C4⋊C4C2311yescharacteristic
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C22⋊C4—21no—
126C22×C22⋊C4—21no—
127C22×C42—28no—
128C22×C42—21no—
129C22×C42—21no—
130C22×C42D411yescharacteristic
131C22×C42D411yescharacteristic
132C22×C42D411yescharacteristic
133C22×C42D411yescharacteristic
134C22×C42D411yescharacteristic
135C22×C42D411yescharacteristic
136C22×C42C2311yescharacteristic
137C22×C42C2311yescharacteristic
138C22×C42C2311yescharacteristic
139C22×C42C2311yescharacteristic
140C22×C42C2311yescharacteristic
141C22×C42C2311yescharacteristic
142#485—216no—
143#431—28no—
144C2×#107C2314yes—
145C2×#107C2314yes—
146C2×#106C2314yes—
147C2×#106C2314yes—
148C2×C4⋊C8C2314yes—
149C2×#103C2314yes—
150C2×#103C2314yes—
151C2×#103C2314yes—
152C2×#103C2314yes—
153C2×C22⋊C8C2314yes—
154C2×C22⋊C8C2312yes—
155C2×C22⋊C8C2312yes—
156C2×C22⋊C8C2314yes—
157C2×C4×C8C2314yes—
158#391—21no—
159#391—21no—
160#391C2312yes—
161#391C2312yes—
162#389—21no—
163#389—21no—
164#389C2312yes—
165#389C2312yes—
166#387—22no—
167#387—22no—
168#387—22no—
169#387—22no—
170#385—22no—
171#385—22no—
172#385—22no—
173#385—22no—
174#384C2311yescharacteristic
175#384C2311yescharacteristic
176#384C2311yescharacteristic
177#384C2311yescharacteristic
178#383—22no—
179#383—22no—
180#382—21no—
181#382—21no—
182#382—21no—
183#382—21no—
184#382C2312yes—
185#382C2312yes—
186#381—22no—
187#381—22no—
188#381—22no—
189#380—21no—
190#380—21no—
191#380—21no—
192#380—21no—
193#380—21no—
194#380—21no—
195#380—21no—
196#380—21no—
197#380—21no—
198#380—21no—
199#380C2312yes—
200#380C2312yes—
201#380C2312yes—
202#380C2312yes—
203#380C2312yes—
204#380C2312yes—
205#379—22no—
206C4×C4⋊C4—22no—
207C4×C4⋊C4—22no—
208C4×C4⋊C4—22no—
209C4×C4⋊C4—22no—
210C4×C4⋊C4—21no—
211C4×C4⋊C4—21no—
212C4×C4⋊C4—21no—
213C4×C4⋊C4—21no—
214C4×C4⋊C4—21no—
215C4×C4⋊C4—21no—
216C4×C4⋊C4—21no—
217C4×C4⋊C4—21no—
218C4×C4⋊C4—21no—
219C4×C4⋊C4—21no—
220C4×C4⋊C4C2312yes—
221C4×C4⋊C4C2312yes—
222C4×C4⋊C4C2312yes—
223C4×C4⋊C4C2312yes—
224C4×C4⋊C4C2312yes—
225C4×C4⋊C4C2312yes—
226C4×C22⋊C4—22no—
227C4×C22⋊C4—22no—
228C4×C22⋊C4—22no—
229C4×C22⋊C4—22no—
230C4×C22⋊C4—22no—
231C4×C22⋊C4—22no—
232C4×C22⋊C4—22no—
233C4×C22⋊C4—22no—
234C4×C22⋊C4—22no—
235C4×C22⋊C4—22no—
236#376—22no—
237#376—22no—
238#376—22no—
239C2×#95—21no—
240C2×#95—21no—
241C2×#95—21no—
242C2×#95—21no—
243C2×#95—21no—
244C43—22no—
245#340C2314yes—
246#340C2314yes—
247#340C2314yes—
248#340C2314yes—
249#340C2314yes—
250#340C2314yes—
251#340C2314yes—
252#340C2314yes—
253#336C2312yes—
254#336C2312yes—
255#336C2312yes—
256#336C2312yes—
257C25C2×D411yescharacteristic
258C22×Q8—24no—
259C22×Q8—21no—
260C22×Q8—24no—
261C22×Q8—42no—
262C22×Q8C2412yes—
263C23×C4—21no—
264C23×C4—21no—
265C23×C4—24no—
266C23×C4—24no—
267C23×C4—24no—
268C23×C4—24no—
269C23×C4—24no—
270C23×C4—24no—
271C23×C4—21no—
272C23×C4—21no—
273C23×C4—42no—
274C23×C4—42no—
275C23×C4—42no—
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D411yescharacteristic
279C23×C4C2×D411yescharacteristic
280C23×C4C2×D411yescharacteristic
281C23×C4C2×D411yescharacteristic
282C23×C4C2×D411yescharacteristic
283C23×C4C2×D411yescharacteristic
284C23×C4C2×D411yescharacteristic
285C23×C4C2×D411yescharacteristic
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D411yescharacteristic
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D411yescharacteristic
290C23×C4C2×D411yescharacteristic
291C23×C4C2411yescharacteristic
292C23×C4C2411yescharacteristic
293C23×C4C2411yescharacteristic
294C22×C8C2414yes—
295C22×C8C2414yes—
296C22⋊Q8—28no—
297C22⋊Q8—28no—
298C22⋊Q8—24no—
299C22⋊Q8—24no—
300C22⋊Q8—24no—
301C22⋊Q8#4118yes—
302C4×Q8—28no—
303C4×Q8—28no—
304C4×Q8—44no—
305C4×Q8—44no—
306#117—28no—
307#117—44no—
308#117—44no—
309#117—44no—
310#117—44no—
311#117—44no—
312C2×C4⋊C4—28no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—21no—
316C2×C4⋊C4—24no—
317C2×C4⋊C4—24no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—21no—
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—21no—
332C2×C4⋊C4—42no—
333C2×C4⋊C4—44no—
334C2×C4⋊C4—44no—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C4⋊C4C2412yes—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2412yes—
342C2×C22⋊C4—28no—
343C2×C22⋊C4—22no—
344C2×C22⋊C4—22no—
345C2×C22⋊C4—22no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—44no—
354C2×C42—24no—
355C2×C42—24no—
356C2×C42—24no—
357C2×C42—24no—
358C2×C42—24no—
359C2×C42—24no—
360C2×C42—24no—
361C2×C42—24no—
362C2×C42—24no—
363C2×C42—24no—
364C2×C42—24no—
365C2×C42—22no—
366C2×C42—22no—
367C2×C42—22no—
368C2×C42—22no—
369C2×C42—22no—
370C2×C42—22no—
371C2×C42—22no—
372C2×C42—22no—
373C2×C42—22no—
374C2×C42—22no—
375C2×C42—44no—
376C2×C42—44no—
377C2×C42C2×D411yescharacteristic
378C2×C42C2×D411yescharacteristic
379C2×C42C2×D411yescharacteristic
380C2×C42C2×D411yescharacteristic
381C2×C42C2×D411yescharacteristic
382C2×C42C2×D411yescharacteristic
383C2×C42C2×D411yescharacteristic
384C2×C42C2×D411yescharacteristic
385C2×C42C2×D411yescharacteristic
386C2×C42C2×D411yescharacteristic
387C2×C42C2×D411yescharacteristic
388C2×C42C2×D411yescharacteristic
389C2×C42#4118yes—
390C2×C42C2411yescharacteristic
391C2×C42C2411yescharacteristic
392C2×C42C2411yescharacteristic
393C2×C42C2411yescharacteristic
394#107—28no—
395#107—44no—
396#106—28no—
397#106—44no—
398C4⋊C8—28no—
399#103—28no—
400#103—28no—
401#103—44no—
402#103—44no—
403C22⋊C8—24no—
404C22⋊C8—24no—
405C22⋊C8—28no—
406C22⋊C8—44no—
407C4×C8—28no—
408#95—22no—
409#95—22no—
410#95—22no—
411#95—22no—
412#95—22no—
413#95—22no—
414#95—22no—
415#95—22no—
416#95—22no—
417#95—22no—
418#95—22no—
419#95—22no—
420#95—22no—
421#95—22no—
422#95—22no—
423#95—22no—
424#95—22no—
425#95—22no—
426#95—22no—
427#95—22no—
428#95—22no—
429#95—22no—
430C24—22no—
431C24—22no—
432C24—22no—
433C24—22no—
434C24—22no—
435C24—41no—
436C24—41no—
437C24C22×D411yescharacteristic
438C24C22×D411yescharacteristic
439C24C22×D411yescharacteristic
440C2×Q8—24no—
441C2×Q8—22no—
442C2×Q8—24no—
443C2×Q8—24no—
444C2×Q8—416no—
445C2×Q8—42no—
446C2×Q8—42no—
447C2×Q8C2×#4114yes—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—24no—
461C22×C4—24no—
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—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—41no—
497C22×C4—41no—
498C22×C4—41no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—41no—
504C22×C4—41no—
505C22×C4—41no—
506C22×C4—416no—
507C22×C4—416no—
508C22×C4—416no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4#12314yes—
520C22×C4#12314yes—
521C22×C4#13514yes—
522C22×C4#13714yes—
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C2×#4114yes—
535C22×C4C2×#4114yes—
536C22×C4C2511yescharacteristic
537C2×C8—24no—
538C2×C8—24no—
539C2×C8—24no—
540C2×C8—24no—
541C2×C8—24no—
542C2×C8—24no—
543C4⋊C4—24no—
544C4⋊C4—28no—
545C4⋊C4—28no—
546C4⋊C4—22no—
547C4⋊C4—24no—
548C4⋊C4—24no—
549C4⋊C4—24no—
550C4⋊C4—24no—
551C4⋊C4—24no—
552C4⋊C4—24no—
553C4⋊C4—42no—
554C4⋊C4—42no—
555C4⋊C4—42no—
556C4⋊C4—42no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—44no—
560C4⋊C4—44no—
561C4⋊C4—44no—
562C4⋊C4—44no—
563C4⋊C4—42no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—42no—
567C4⋊C4C2×#4114yes—
568C22⋊C4—28no—
569C22⋊C4—28no—
570C22⋊C4—44no—
571C22⋊C4—44no—
572C22⋊C4—44no—
573C22⋊C4—44no—
574C22⋊C4—44no—
575C22⋊C4—44no—
576C22⋊C4—44no—
577C22⋊C4—44no—
578C42—22no—
579C42—22no—
580C42—22no—
581C42—22no—
582C42—22no—
583C42—22no—
584C42—22no—
585C42—22no—
586C42—22no—
587C42—22no—
588C42—22no—
589C42—22no—
590C42—44no—
591C42—44no—
592C42—44no—
593C42—44no—
594C42—44no—
595C42—44no—
596C42—44no—
597C42—44no—
598C42—44no—
599C42—44no—
600C42#12314yes—
601C42#12314yes—
602C42C2×#4114yes—
603C42C2×#4114yes—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—28no—
609C23—21no—
610C23—21no—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—44no—
622C23—44no—
623C23—44no—
624C23—44no—
625C23—44no—
626C23—44no—
627C23C2×#12312yes—
628C23#52512yes—
629C23C2×#13512yes—
630C23C2×#13712yes—
631C23#57512yes—
632C23C23×D411yescharacteristic
633Q8—28no—
634Q8—48no—
635Q8—44no—
636C2×C4—28no—
637C2×C4—28no—
638C2×C4—21no—
639C2×C4—21no—
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—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—28no—
655C2×C4—28no—
656C2×C4—28no—
657C2×C4—28no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—24no—
661C2×C4—24no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—44no—
667C2×C4—44no—
668C2×C4—44no—
669C2×C4—44no—
670C2×C4—44no—
671C2×C4—44no—
672C2×C4—44no—
673C2×C4—44no—
674C2×C4—44no—
675C2×C4—44no—
676C2×C4—48no—
677C2×C4—48no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—84no—
703C2×C4—84no—
704C2×C4C2×#12312yes—
705C2×C4C2×#12312yes—
706C2×C4C2×#12312yes—
707C2×C4C2×#12312yes—
708C2×C4C2×#12312yes—
709C2×C4#52512yes—
710C2×C4C2×#13512yes—
711C2×C4C2×#13512yes—
712C2×C4C2×#13712yes—
713C2×C4C2×#13712yes—
714C2×C4#57512yes—
715C2×C4C22×#4112yes—
716C2×C4C22×#4112yes—
717C2×C4#58512yes—
718C8—44no—
719C8—44no—
720C22—22no—
721C22—22no—
722C22—22no—
723C22—22no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—22no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—416no—
733C22—41no—
734C22—41no—
735C22—41no—
736C22—41no—
737C22—41no—
738C22—41no—
739C22—41no—
740C22—41no—
741C22#309114yes—
742C22C22×#12311yescharacteristic
743C22C2×#52511yescharacteristic
744C22#344911yescharacteristic
745C22C22×#13511yescharacteristic
746C22C22×#13711yescharacteristic
747C22C2×#57511yescharacteristic
748C22C2×#57511yescharacteristic
749C4—22no—
750C4—22no—
751C4—22no—
752C4—22no—
753C4—22no—
754C4—22no—
755C4—22no—
756C4—22no—
757C4—41no—
758C4—44no—
759C4—41no—
760C4—44no—
761C4—82no—
762C4—82no—
763C4—82no—
764C4—82no—
765C4—82no—
766C4—82no—
767C4#309514yes—
768C4#347514yes—
769C2—24no—
770C2—42no—
771C2—42no—
772C2#3480911yescharacteristic
773C2C2×#309111yescharacteristic
774C2C2×#309511yescharacteristic
775C2#6053611yescharacteristic
776C2#6056011yescharacteristic
777C2#6094711yescharacteristic
778C2#6095411yescharacteristic
subgroupG/H
centerC22×C4C22×D4
commutator, Frattini, cosocleC22×C4C25
socleC23C23×D4
prime radicalC25C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C4 ◁ C23×C42 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

NH ≅ G/Ntype
3. #27685C2semidirect
4. #27652C2semidirect
5. #27635C2semidirect
6. #27613C2semidirect
7. #27610C2semidirect
9. #27586C2semidirect
10. #27583C2semidirect
12. #23757C2semidirect
13. #23756C2semidirect
14. C4×#485C2semidirect
15. #21361C2semidirect
16. #20735C2semidirect
57. #2100C22semidirect
58. #2099C22semidirect
59. #2096C22semidirect
60. #2095C22semidirect
61. #2084C22semidirect
62. #2083C22semidirect
65. #2072C22semidirect
66. #2072C22semidirect
69. #1949C22semidirect
70. #1949C22semidirect
71. #1928C22semidirect
72. #1927C22semidirect
73. #1919C22semidirect
74. #1918C22semidirect
86. #1805C22semidirect
87. #1805C22semidirect
93. C4×#107C22semidirect
94. C4×#106C22semidirect
95. C4×#103C22semidirect
96. C4×#103C22semidirect

Maximal subgroups

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

subgroupindex
C2×C4×C22⋊Q82
#340122
#276852
#276522
#276352
#276132
#276102
#276022
#275862
#275832
#240102
#237572
#237562
C4×#4852
#213612
#207352
#207142