Finite Group Databasebeta

← #6792691

Subgroups — #6792691

Order 512.

1971 conjugacy classes of subgroups.

The subgroup lattice has 749 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1D4×C22⋊Q8C211yesmaximal, characteristic
2C2×#2563C211yesmaximal, characteristic
3#33109C211yesmaximal, characteristic, complemented
4#31324C214yesmaximal, complemented
5#31263C214yesmaximal, complemented
6#29895C212yesmaximal, complemented
7#28598C212yesmaximal, complemented
8#26302C212yesmaximal, complemented
9#25902C211yesmaximal, characteristic, complemented
10#25888C212yesmaximal, complemented
11#25340C212yesmaximal, complemented
12#24552C212yesmaximal, complemented
13#24302C211yesmaximal, characteristic, complemented
14#24006C212yesmaximal, complemented
15D4×C22⋊C8C211yesmaximal, characteristic
16#21759C212yesmaximal, complemented
17C4×#484C211yesmaximal, characteristic, complemented
18C2×D4×Q8C2211yescharacteristic
19C22×C4⋊Q8C2211yescharacteristic
20C22×C22⋊Q8C2212yes—
21C22×C4×D4C2211yescharacteristic
22C2×#487C2212yescomplemented
23C2×#484C2211yescharacteristic
24C2×#484C2212yes—
25C2×#477C2212yescomplemented
26C2×C8×D4C2212yes—
27C22×C22⋊C8C2212yes—
28#2857C2211yescharacteristic
29#2848C2212yes—
30#2563—21no—
31#2563—22no—
32#2563—21no—
33#2563C2214yes—
34#2563C2212yes—
35#2563C2212yes—
36#2542C2211yescharacteristic
37#2538C2211yescharacteristic
38#2452—21no—
39#2449—22no—
40#2440—21no—
41#2437—22no—
42#2417C2212yes—
43#2409C2212yes—
44C2×#393—22no—
45D4×C4⋊C4—21no—
46D4×C4⋊C4C2211yescharacteristic
47D4×C22⋊C4—21no—
48C4×C22⋊Q8C2211yescharacteristic
49C2×#390—21no—
50C2×#382—21no—
51C2×#380C2212yes—
52C2×#380C2212yes—
53C2×C4×C4⋊C4C2211yescharacteristic
54#2076C2214yescomplemented
55#2076C2214yescomplemented
56#2076C2214yescomplemented
57#2057C2212yescomplemented
58#2036C2214yescomplemented
59#2036C2214yescomplemented
60#2036C2214yescomplemented
61#2036C2214yescomplemented
62#2036C2214yescomplemented
63#2024C2212yescomplemented
64#2024C2214yescomplemented
65#1990C2212yescomplemented
66#1987C2212yescomplemented
67#1981C2212yescomplemented
68#1954C2212yes—
69#1947C2212yescomplemented
70#1928C2212yescomplemented
71#1928C2214yescomplemented
72#1921C2212yescomplemented
73#1892C2214yescomplemented
74#1892C2214yescomplemented
75#1892C2214yescomplemented
76#1872C2212yes—
77#1872C2212yes—
78#1872C2211yescharacteristic
79#1872C2212yes—
80#1872C2212yes—
81#1869C2214yes—
82#1852C2211yescharacteristic
83#1852C2212yes—
84#1852C2214yescomplemented
85#1824C2211yescharacteristic
86#1824C2214yescomplemented
87#1808C2214yescomplemented
88#1797C2211yescharacteristic
89#1787C2214yescomplemented
90#1787C2214yescomplemented
91#1779C2212yes—
92C4×#107C2212yescomplemented
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×C22⋊Q8—22no—
109C2×C22⋊Q8—22no—
110C2×C22⋊Q8—22no—
111C2×C22⋊Q8—28no—
112C2×C22⋊Q8—44no—
113C2×C22⋊Q8C2312yes—
114C2×C22⋊Q8C2312yes—
115C2×C22⋊Q8C2312yes—
116C2×C22⋊Q8C2311yescharacteristic
117C2×C22⋊Q8C2312yes—
118C2×C22⋊Q8C2312yes—
119C2×C4×Q8C2311yescharacteristic
120C2×C4×D4—21no—
121C2×C4×D4—21no—
122C2×C4×D4—44no—
123C2×C4×D4D411yescharacteristic
124C2×C4×D4D412yes—
125C2×C4×D4D411yescharacteristic
126C2×C4×D4C2311yescharacteristic
127C2×C4×D4C2311yescharacteristic
128C2×C4×D4C2312yes—
129C22×C4⋊C4—22no—
130C22×C4⋊C4—21no—
131C22×C4⋊C4D411yescharacteristic
132C22×C4⋊C4C2311yescharacteristic
133C22×C4⋊C4C2312yes—
134C22×C4⋊C4C2312yes—
135C22×C4⋊C4C2311yescharacteristic
136C22×C22⋊C4—22no—
137C22×C22⋊C4—22no—
138C22×C22⋊C4—22no—
139C22×C22⋊C4D412yes—
140C22×C42—21no—
141C22×C42C2311yescharacteristic
142#487—44no—
143#484—24no—
144#484—44no—
145#477—44no—
146C8×D4—44no—
147C2×#107C2312yes—
148C2×#107C2314yes—
149C2×#107C2314yes—
150C2×#107C2312yes—
151C2×C4⋊C8C2312yes—
152C2×#103C2312yes—
153C2×#103C2314yes—
154C2×#103C2314yes—
155C2×#103C2314yes—
156C2×#103C2314yes—
157C2×#103C2312yes—
158C2×#103C2314yes—
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#399—22no—
168#398—22no—
169#396—22no—
170#396—22no—
171#395—22no—
172#393—24no—
173#393—24no—
174#393—24no—
175#393—24no—
176#393—22no—
177#391C2312yes—
178#391C2311yescharacteristic
179#390—22no—
180#390—22no—
181#390—24no—
182#390—21no—
183#390—21no—
184#389—21no—
185#389—21no—
186#389—21no—
187#389—21no—
188#389C2311yescharacteristic
189#387—21no—
190#386—22no—
191#386—22no—
192#385—22no—
193#385—22no—
194#385—22no—
195#385—21no—
196#385—22no—
197#385—22no—
198#384—21no—
199#384C2311yescharacteristic
200#382—22no—
201#382—22no—
202#382—24no—
203#380—22no—
204#380—22no—
205#380—22no—
206#380—22no—
207#380—21no—
208#380—21no—
209#380—22no—
210#380C2314yes—
211#380C2314yes—
212#380C2314yes—
213#380C2314yes—
214#380C2312yes—
215#380C2312yes—
216#380C2311yescharacteristic
217#379—22no—
218C4×C4⋊C4—21no—
219C4×C4⋊C4—21no—
220C4×C4⋊C4—21no—
221C4×C4⋊C4C2312yes—
222C4×C4⋊C4C2312yes—
223C4×C4⋊C4C2311yescharacteristic
224C4×C22⋊C4—21no—
225C2×#95—21no—
226C2×#95—22no—
227C2×#95—22no—
228#340C2314yes—
229#340C2312yes—
230#340C2314yes—
231#340C2312yes—
232#340C2314yes—
233#340C2314yes—
234#340C2312yes—
235#340C2314yes—
236#340C2312yes—
237#336C2312yes—
238#336C2312yes—
239C25C2×D412yes—
240C22×Q8—22no—
241C22×Q8—22no—
242C22×Q8—22no—
243C22×Q8—24no—
244C22×Q8—42no—
245C22×Q8—44no—
246C22×Q8—44no—
247C22×Q8—44no—
248C22×Q8—82no—
249C22×Q8—82no—
250C22×Q8C2412yes—
251C22×Q8C2411yescharacteristic
252C22×D4—42no—
253C22×D4—42no—
254C22×D4Q1618yes—
255C22×D4C2×D411yescharacteristic
256C22×D4C2×D411yescharacteristic
257C22×D4C2×D412yes—
258C23×C4—24no—
259C23×C4—24no—
260C23×C4—22no—
261C23×C4—21no—
262C23×C4—21no—
263C23×C4—22no—
264C23×C4—22no—
265C23×C4—44no—
266C23×C4—44no—
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D412yes—
270C23×C4C2×D412yes—
271C23×C4C2×D412yes—
272C23×C4C2412yes—
273C23×C4C2412yes—
274C23×C4C2411yescharacteristic
275C22×C8—44no—
276C22×C8—44no—
277C22×C8—44no—
278C22×C8C2412yes—
279C22×C8C2414yes—
280C22×C8C2412yes—
281C4⋊Q8—24no—
282C4⋊Q8—24no—
283C4⋊Q8—24no—
284C4⋊Q8—44no—
285C4⋊Q8—44no—
286C4⋊Q8—44no—
287C4⋊Q8—44no—
288C22⋊Q8—22no—
289C22⋊Q8—24no—
290C22⋊Q8—24no—
291C22⋊Q8—24no—
292C22⋊Q8—24no—
293C22⋊Q8—48no—
294C22⋊Q8—48no—
295C22⋊Q8—42no—
296C22⋊Q8—42no—
297C22⋊Q8—44no—
298C22⋊Q8—48no—
299C22⋊Q8—44no—
300C22⋊Q8#4114yes—
301C4×Q8—24no—
302C4×D4—24no—
303C4×D4—24no—
304C4×D4—44no—
305C4×D4—42no—
306C4×D4—42no—
307C4×D4—44no—
308C4×D4—44no—
309C4×D4—44no—
310C2×C4⋊C4—21no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—24no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—22no—
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—21no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—42no—
332C2×C4⋊C4—42no—
333C2×C4⋊C4—42no—
334C2×C4⋊C4—44no—
335C2×C4⋊C4—48no—
336C2×C4⋊C4—44no—
337C2×C4⋊C4C2×D411yescharacteristic
338C2×C4⋊C4C2×D411yescharacteristic
339C2×C4⋊C4C2×D412yes—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2414yes—
342C2×C4⋊C4C2412yes—
343C2×C4⋊C4C2412yes—
344C2×C4⋊C4C2411yescharacteristic
345C2×C4⋊C4C2411yescharacteristic
346C2×C4⋊C4C2411yescharacteristic
347C2×C22⋊C4—21no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—21no—
354C2×C22⋊C4—24no—
355C2×C22⋊C4—24no—
356C2×C22⋊C4—24no—
357C2×C22⋊C4—24no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4—48no—
362C2×C22⋊C4—84no—
363C2×C22⋊C4—84no—
364C2×C22⋊C4C2×D412yes—
365C2×C22⋊C4C2×D412yes—
366C2×C22⋊C4C2×D412yes—
367C2×C22⋊C4C2×D412yes—
368C2×C42—24no—
369C2×C42—21no—
370C2×C42—21no—
371C2×C42—22no—
372C2×C42—22no—
373C2×C42—44no—
374C2×C42C2×D411yescharacteristic
375C2×C42C2×D411yescharacteristic
376C2×C42C2411yescharacteristic
377C2×C42C2411yescharacteristic
378#107—24no—
379#107—42no—
380#107—44no—
381#107—44no—
382C4⋊C8—24no—
383#103—24no—
384#103—44no—
385#103—42no—
386#103—44no—
387#103—44no—
388#103—44no—
389#103—44no—
390C22⋊C8—22no—
391C22⋊C8—22no—
392C22⋊C8—24no—
393C22⋊C8—44no—
394C22⋊C8—44no—
395C22⋊C8—44no—
396C4×C8—24no—
397#95—22no—
398#95—22no—
399#95—24no—
400#95—24no—
401#95—24no—
402#95—24no—
403#95—21no—
404#95—21no—
405#95—21no—
406#95—21no—
407#95—21no—
408#95—22no—
409#95—22no—
410#95—22no—
411#95—22no—
412C24—24no—
413C24—24no—
414C24—42no—
415C24—42no—
416C24—42no—
417C24—42no—
418C24C2×Q1618yes—
419C24C22×D412yes—
420C24C22×D412yes—
421C24C22×D411yescharacteristic
422C2×Q8—21no—
423C2×Q8—22no—
424C2×Q8—22no—
425C2×Q8—22no—
426C2×Q8—24no—
427C2×Q8—22no—
428C2×Q8—24no—
429C2×Q8—44no—
430C2×Q8—44no—
431C2×Q8—44no—
432C2×Q8—44no—
433C2×Q8—82no—
434C2×Q8—82no—
435C2×Q8—82no—
436C2×Q8—82no—
437C2×Q8—82no—
438C2×Q8—88no—
439C2×Q8—88no—
440C2×Q8—816no—
441C2×Q8C2×#4112yes—
442C2×D4—22no—
443C2×D4—22no—
444C2×D4—22no—
445C2×D4—22no—
446C2×D4—416no—
447C2×D4—42no—
448C2×D4—42no—
449C2×D4C2×Q1614yes—
450C2×D4C2×Q1614yes—
451C2×D4C2×Q1618yes—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—24no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—22no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—22no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—41no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—44no—
486C22×C4—44no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—44no—
491C22×C4—44no—
492C22×C4—42no—
493C22×C4—44no—
494C22×C4—44no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—44no—
498C22×C4—88no—
499C22×C4—88no—
500C22×C4—82no—
501C22×C4—82no—
502C22×C4C2×Q1614yes—
503C22×C4C22×D411yescharacteristic
504C22×C4C22×D412yes—
505C22×C4C22×D412yes—
506C22×C4C22×D411yescharacteristic
507C22×C4C22×D411yescharacteristic
508C22×C4C22×D411yescharacteristic
509C22×C4C22×D411yescharacteristic
510C22×C4C2×#4112yes—
511C22×C4H(5,𝔽2)12yes—
512C22×C4C2511yescharacteristic
513C2×C8—22no—
514C2×C8—22no—
515C2×C8—22no—
516C2×C8—22no—
517C2×C8—24no—
518C2×C8—24no—
519C2×C8—22no—
520C2×C8—24no—
521C2×C8—22no—
522C2×C8—88no—
523C4⋊C4—22no—
524C4⋊C4—22no—
525C4⋊C4—24no—
526C4⋊C4—21no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—24no—
531C4⋊C4—24no—
532C4⋊C4—22no—
533C4⋊C4—22no—
534C4⋊C4—22no—
535C4⋊C4—22no—
536C4⋊C4—22no—
537C4⋊C4—42no—
538C4⋊C4—44no—
539C4⋊C4—44no—
540C4⋊C4—44no—
541C4⋊C4—42no—
542C4⋊C4—44no—
543C4⋊C4—44no—
544C4⋊C4—44no—
545C4⋊C4—44no—
546C4⋊C4—42no—
547C4⋊C4—42no—
548C4⋊C4—42no—
549C4⋊C4—42no—
550C4⋊C4—44no—
551C4⋊C4—42no—
552C4⋊C4—81no—
553C4⋊C4—81no—
554C4⋊C4—82no—
555C4⋊C4C2×#4112yes—
556C22⋊C4—24no—
557C22⋊C4—24no—
558C22⋊C4—24no—
559C22⋊C4—42no—
560C22⋊C4—42no—
561C22⋊C4—44no—
562C22⋊C4—44no—
563C22⋊C4—44no—
564C22⋊C4—44no—
565C22⋊C4—44no—
566C22⋊C4—42no—
567C22⋊C4—82no—
568C22⋊C4—84no—
569C22⋊C4—84no—
570C22⋊C4—84no—
571C22⋊C4—84no—
572C22⋊C4—82no—
573C42—22no—
574C42—22no—
575C42—22no—
576C42—44no—
577C42—42no—
578C42—44no—
579C42—42no—
580C42H(5,𝔽2)14yes—
581C23—21no—
582C23—21no—
583C23—21no—
584C23—21no—
585C23—22no—
586C23—22no—
587C23—22no—
588C23—22no—
589C23—22no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—216no—
598C23—48no—
599C23—48no—
600C23—84no—
601C23—84no—
602C23—84no—
603C23—84no—
604C23#54612yes—
605C23C22×Q1614yes—
606C23C22×Q1614yes—
607C23C22×Q1612yes—
608C23#57712yes—
609C23C23×D411yescharacteristic
610Q8—24no—
611Q8—42no—
612Q8—44no—
613Q8—44no—
614Q8—88no—
615Q8—88no—
616Q8—88no—
617D4—28no—
618D4—28no—
619D4—48no—
620C2×C4—21no—
621C2×C4—21no—
622C2×C4—21no—
623C2×C4—21no—
624C2×C4—21no—
625C2×C4—21no—
626C2×C4—28no—
627C2×C4—24no—
628C2×C4—24no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—22no—
632C2×C4—22no—
633C2×C4—22no—
634C2×C4—22no—
635C2×C4—22no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—21no—
640C2×C4—44no—
641C2×C4—41no—
642C2×C4—41no—
643C2×C4—41no—
644C2×C4—41no—
645C2×C4—44no—
646C2×C4—44no—
647C2×C4—44no—
648C2×C4—44no—
649C2×C4—42no—
650C2×C4—41no—
651C2×C4—44no—
652C2×C4—42no—
653C2×C4—41no—
654C2×C4—42no—
655C2×C4—44no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—42no—
659C2×C4—41no—
660C2×C4—42no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—42no—
664C2×C4—41no—
665C2×C4—42no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—42no—
669C2×C4—44no—
670C2×C4—84no—
671C2×C4—84no—
672C2×C4—84no—
673C2×C4—88no—
674C2×C4—88no—
675C2×C4—84no—
676C2×C4—84no—
677C2×C4—88no—
678C2×C4#53412yes—
679C2×C4#53412yes—
680C2×C4#54612yes—
681C2×C4C22×Q1612yes—
682C2×C4C22×Q1612yes—
683C2×C4#57512yes—
684C2×C4C22×#4111yescharacteristic
685C2×C4C2×H(5,𝔽2)12yes—
686C2×C4C2×H(5,𝔽2)11yescharacteristic
687C2×C4#58512yes—
688C8—42no—
689C8—44no—
690C8—42no—
691C22—22no—
692C22—22no—
693C22—22no—
694C22—22no—
695C22—22no—
696C22—22no—
697C22—24no—
698C22—24no—
699C22—24no—
700C22—24no—
701C22—24no—
702C22—24no—
703C22—42no—
704C22—42no—
705C22—42no—
706C22—42no—
707C22—42no—
708C22—42no—
709C22—42no—
710C22—42no—
711C22—816no—
712C22#329914yes—
713C22C2×#53411yescharacteristic
714C22C2×#54611yescharacteristic
715C22#348511yescharacteristic
716C22C23×Q1611yescharacteristic
717C22C2×#57511yescharacteristic
718C22C2×#57711yescharacteristic
719C22#358511yescharacteristic
720C4—22no—
721C4—22no—
722C4—22no—
723C4—41no—
724C4—42no—
725C4—42no—
726C4—42no—
727C4—42no—
728C4—81no—
729C4—82no—
730C4—81no—
731C4—84no—
732C4—82no—
733C4—82no—
734C4—82no—
735C4#318914yes—
736C4#351412yes—
737C4#355812yes—
738C2—24no—
739C2—44no—
740C2—44no—
741C2#3890611yescharacteristic
742C2C2×#318911yescharacteristic
743C2#6075711yescharacteristic
744C2C2×#329911yescharacteristic
745C2#6116611yescharacteristic
746C2#6169811yescharacteristic
747C2#6173111yescharacteristic
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. #33109C2semidirect
4. #31324C2semidirect
5. #31263C2semidirect
6. #29895C2semidirect
7. #28598C2semidirect
8. #26302C2semidirect
9. #25902C2semidirect
10. #25888C2semidirect
11. #25340C2semidirect
12. #24552C2semidirect
13. #24302C2semidirect
14. #24006C2semidirect
16. #21759C2semidirect
17. C4×#484C2semidirect
22. C2×#487C22semidirect
25. C2×#477C22semidirect
54. #2076C22semidirect
55. #2076C22semidirect
56. #2076C22semidirect
57. #2057C22semidirect
58. #2036C22semidirect
59. #2036C22semidirect
60. #2036C22semidirect
61. #2036C22semidirect
62. #2036C22semidirect
63. #2024C22semidirect
64. #2024C22semidirect
65. #1990C22semidirect
66. #1987C22semidirect
67. #1981C22semidirect
69. #1947C22semidirect
70. #1928C22semidirect
71. #1928C22semidirect
72. #1921C22semidirect
73. #1892C22semidirect
74. #1892C22semidirect
75. #1892C22semidirect
84. #1852C22semidirect
86. #1824C22semidirect
87. #1808C22semidirect
89. #1787C22semidirect
90. #1787C22semidirect
92. C4×#107C22semidirect
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×#25632
#331092
#313242
#312632
#298952
#285982
#263022
#259022
#258882
#253402
#245522
#243022
#240062
D4×C22⋊C82
#217592
C4×#4842