Finite Group Databasebeta

← #6847999

Subgroups — #6847999

Order 512.

2063 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
1#36161C211yesmaximal, characteristic
2C2×#2542C211yesmaximal, characteristic
3#33146C211yesmaximal, characteristic, complemented
4#32034C214yesmaximal, complemented
5#30712C214yesmaximal, complemented
6#29599C212yesmaximal, complemented
7#28600C212yesmaximal, complemented
8#26233C212yesmaximal, complemented
9#25856C211yesmaximal, characteristic, complemented
10#25570C212yesmaximal, complemented
11#25386C212yesmaximal, complemented
12#24380C212yesmaximal, complemented
13#24212C211yesmaximal, characteristic, complemented
14#24010C212yesmaximal, complemented
15D4×C22⋊C8C211yesmaximal, characteristic
16#21762C212yesmaximal, complemented
17C4×#483C211yesmaximal, characteristic, complemented
18C2×#556C2211yescharacteristic
19C22×C4⋊Q8C2211yescharacteristic
20C22×C22⋊Q8C2212yes—
21C22×C22⋊Q8C2212yes—
22C22×C4×D4C2211yescharacteristic
23C2×#487C2212yescomplemented
24C2×#485C2214yescomplemented
25C2×#483C2211yescharacteristic
26C2×#467C2214yescomplemented
27C2×#462C2212yescomplemented
28C2×#451C2212yes—
29C2×C8×D4C2212yes—
30C22×C22⋊C8C2212yes—
31#2857C2211yescharacteristic
32#2848C2212yes—
33#2547C2211yescharacteristic
34#2542—21no—
35#2542—21no—
36#2542—22no—
37#2542C2214yes—
38#2542C2212yes—
39#2542C2212yes—
40#2538C2211yescharacteristic
41#2485C2212yes—
42#2480—22no—
43#2466—22no—
44#2447—21no—
45#2435—21no—
46#2415C2212yes—
47C2×#399—22no—
48#2367—21no—
49#2360—21no—
50#2354C2211yescharacteristic
51C4×C22⋊Q8C2211yescharacteristic
52C2×#390—21no—
53C2×#384—21no—
54#2280C2212yes—
55C2×C4×C4⋊C4C2211yescharacteristic
56#2043C2214yescomplemented
57#2043C2212yescomplemented
58#2036C2214yescomplemented
59#2036C2214yescomplemented
60#2035C2214yescomplemented
61#2035C2214yescomplemented
62#2035C2214yescomplemented
63#2016C2212yescomplemented
64#2001C2214yescomplemented
65#2001C2214yescomplemented
66#2001C2214yescomplemented
67#1988C2212yescomplemented
68#1981C2212yescomplemented
69#1956C2212yescomplemented
70#1954C2212yes—
71#1947C2212yescomplemented
72#1927C2212yescomplemented
73#1920C2212yescomplemented
74#1918C2214yescomplemented
75#1892C2214yescomplemented
76#1892C2214yescomplemented
77#1892C2214yescomplemented
78#1873C2214yescomplemented
79#1873C2214yescomplemented
80#1873C2214yescomplemented
81#1872C2211yescharacteristic
82#1869C2214yes—
83#1853C2211yescharacteristic
84#1852C2212yes—
85#1823C2211yescharacteristic
86#1823C2212yes—
87#1797C2211yescharacteristic
88#1787C2212yes—
89#1787C2212yes—
90#1787C2212yes—
91#1779C2212yes—
92C4×#106C2212yescomplemented
93C4×#103C2212yescomplemented
94C4×C22⋊C8C2211yescharacteristic
95C23×Q8C2312yes—
96C23×D4D411yescharacteristic
97C24×C4C2312yes—
98C22×Q16C2314yes—
99C23×C8C2314yes—
100#556—44no—
101C2×C4⋊Q8—21no—
102C2×C4⋊Q8—21no—
103C2×C4⋊Q8—44no—
104C2×C4⋊Q8C2312yes—
105C2×C4⋊Q8C2312yes—
106C2×C4⋊Q8C2311yescharacteristic
107C2×#126—22no—
108C2×#124—21no—
109C2×#124—21no—
110C2×C22⋊Q8—21no—
111C2×C22⋊Q8—22no—
112C2×C22⋊Q8—22no—
113C2×C22⋊Q8—22no—
114C2×C22⋊Q8—22no—
115C2×C22⋊Q8—28no—
116C2×C22⋊Q8—48no—
117C2×C22⋊Q8—44no—
118C2×C22⋊Q8C2311yescharacteristic
119C2×C22⋊Q8C2314yes—
120C2×C22⋊Q8C2314yes—
121C2×C22⋊Q8C2314yes—
122C2×C22⋊Q8C2314yes—
123C2×C22⋊Q8C2312yes—
124C2×C22⋊Q8C2312yes—
125C2×C4×Q8—21no—
126C2×C4×Q8C2311yescharacteristic
127C2×C4×D4—44no—
128C2×C4×D4D411yescharacteristic
129C2×C4×D4D411yescharacteristic
130C2×C4×D4D412yes—
131C2×C4×D4C2311yescharacteristic
132C2×C4×D4C2311yescharacteristic
133C2×C4×D4C2312yes—
134C2×#117C2312yes—
135C2×#117C2312yes—
136C22×C4⋊C4—21no—
137C22×C4⋊C4—22no—
138C22×C4⋊C4—22no—
139C22×C4⋊C4—21no—
140C22×C4⋊C4D411yescharacteristic
141C22×C4⋊C4C2311yescharacteristic
142C22×C4⋊C4C2311yescharacteristic
143C22×C22⋊C4—22no—
144C22×C22⋊C4—22no—
145C22×C22⋊C4D412yes—
146C22×C42—21no—
147C22×C42C2311yescharacteristic
148#487—44no—
149#485—48no—
150#483—24no—
151#467—48no—
152#462—44no—
153#451—44no—
154C8×D4—44no—
155C2×#107C2314yes—
156C2×#106C2312yes—
157C2×#106C2312yes—
158C2×C4⋊C8C2312yes—
159C2×#103C2312yes—
160C2×#103C2312yes—
161C2×#103C2314yes—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#103C2314yes—
167C2×#103C2314yes—
168C2×C22⋊C8—44no—
169C2×C22⋊C8C2312yes—
170C2×C22⋊C8C2311yescharacteristic
171C2×C22⋊C8C2311yescharacteristic
172C2×C22⋊C8C2314yes—
173C2×C22⋊C8C2314yes—
174C2×C22⋊C8C2314yes—
175C2×C4×C8C2312yes—
176#399—24no—
177#399—24no—
178#399—24no—
179#399—24no—
180#397—22no—
181#397—22no—
182#397—22no—
183#396—22no—
184#394—22no—
185#394—22no—
186#391—21no—
187#391—21no—
188#391C2311yescharacteristic
189#390—21no—
190#390—21no—
191#390—22no—
192#390—24no—
193#390—22no—
194#389—22no—
195#389—21no—
196#389—21no—
197#389C2312yes—
198#389C2311yescharacteristic
199#388—22no—
200#388—22no—
201#388—22no—
202#387—22no—
203#387—21no—
204#385—22no—
205#385—22no—
206#385—22no—
207#385—21no—
208#384—22no—
209#384—22no—
210#384—24no—
211#384C2311yescharacteristic
212#381—22no—
213#380—21no—
214#380C2312yes—
215#380C2311yescharacteristic
216#380C2312yes—
217#380C2312yes—
218#380C2312yes—
219#380C2312yes—
220#379—22no—
221#379—22no—
222C4×C4⋊C4—21no—
223C4×C4⋊C4—21no—
224C4×C4⋊C4—21no—
225C4×C4⋊C4—21no—
226C4×C4⋊C4C2311yescharacteristic
227C4×C4⋊C4C2312yes—
228C4×C4⋊C4C2312yes—
229C4×C22⋊C4—21no—
230C4×C22⋊C4—22no—
231C4×C22⋊C4—22no—
232C2×#95—21no—
233#340C2312yes—
234#340C2312yes—
235#340C2314yes—
236#340C2314yes—
237#340C2314yes—
238#340C2312yes—
239#340C2312yes—
240#336C2312yes—
241#336C2312yes—
242C25C2×D412yes—
243C22×Q8—21no—
244C22×Q8—22no—
245C22×Q8—24no—
246C22×Q8—24no—
247C22×Q8—44no—
248C22×Q8—44no—
249C22×Q8C2411yescharacteristic
250C22×Q8C2414yes—
251C22×D4—24no—
252C22×D4—24no—
253C22×D4—42no—
254C22×D4C2×D411yescharacteristic
255C22×D4C2×D412yes—
256C22×D4C2×D411yescharacteristic
257C23×C4—21no—
258C23×C4—21no—
259C23×C4—24no—
260C23×C4—24no—
261C23×C4—22no—
262C23×C4—44no—
263C23×C4—44no—
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D412yes—
267C23×C4C2×D412yes—
268C23×C4C2×D412yes—
269C23×C4C2412yes—
270C23×C4C2412yes—
271C23×C4C2411yescharacteristic
272C2×Q16—44no—
273C2×Q16—44no—
274C2×Q16—44no—
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—
287#126—48no—
288#124—44no—
289#124—44no—
290C22⋊Q8—22no—
291C22⋊Q8—22no—
292C22⋊Q8—28no—
293C22⋊Q8—28no—
294C22⋊Q8—28no—
295C22⋊Q8—28no—
296C22⋊Q8—44no—
297C22⋊Q8—44no—
298C22⋊Q8—44no—
299C22⋊Q8—44no—
300C22⋊Q8—44no—
301C22⋊Q8—48no—
302C22⋊Q8—48no—
303C22⋊Q8—48no—
304C22⋊Q8—48no—
305C22⋊Q8—44no—
306C22⋊Q8—44no—
307C4×Q8—24no—
308C4×Q8—44no—
309C4×D4—24no—
310C4×D4—24no—
311C4×D4—44no—
312C4×D4—42no—
313C4×D4—42no—
314C4×D4—44no—
315#117—44no—
316#117—44no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—24no—
321C2×C4⋊C4—24no—
322C2×C4⋊C4—24no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—24no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—21no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—42no—
339C2×C4⋊C4—48no—
340C2×C4⋊C4—48no—
341C2×C4⋊C4—44no—
342C2×C4⋊C4—44no—
343C2×C4⋊C4C2×D411yescharacteristic
344C2×C4⋊C4C2×D411yescharacteristic
345C2×C4⋊C4C2×D412yes—
346C2×C4⋊C4#4114yes—
347C2×C4⋊C4C2411yescharacteristic
348C2×C4⋊C4C2411yescharacteristic
349C2×C4⋊C4C2412yes—
350C2×C4⋊C4C2412yes—
351C2×C4⋊C4C2411yescharacteristic
352C2×C4⋊C4C2412yes—
353C2×C4⋊C4C2412yes—
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—22no—
361C2×C22⋊C4—21no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—21no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—44no—
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—21no—
379C2×C42—21no—
380C2×C42—22no—
381C2×C42—22no—
382C2×C42—22no—
383C2×C42—44no—
384C2×C42C2×D411yescharacteristic
385C2×C42C2×D411yescharacteristic
386C2×C42C2411yescharacteristic
387C2×C42C2411yescharacteristic
388#107—28no—
389#106—24no—
390#106—24no—
391C4⋊C8—24no—
392#103—24no—
393#103—24no—
394#103—44no—
395#103—44no—
396#103—44no—
397#103—44no—
398#103—44no—
399#103—44no—
400#103—44no—
401C22⋊C8—22no—
402C22⋊C8—22no—
403C22⋊C8—24no—
404C22⋊C8—44no—
405C22⋊C8—44no—
406C22⋊C8—44no—
407C4×C8—24no—
408#95—22no—
409#95—22no—
410#95—21no—
411#95—22no—
412#95—22no—
413#95—22no—
414#95—21no—
415#95—21no—
416#95—22no—
417#95—21no—
418#95—21no—
419#95—22no—
420#95—22no—
421C24—24no—
422C24—24no—
423C24—24no—
424C24—24no—
425C24—42no—
426C24—42no—
427C24—42no—
428C24C22×D412yes—
429C24C22×D412yes—
430C24C22×D411yescharacteristic
431C2×Q8—21no—
432C2×Q8—24no—
433C2×Q8—22no—
434C2×Q8—24no—
435C2×Q8—24no—
436C2×Q8—24no—
437C2×Q8—24no—
438C2×Q8—24no—
439C2×Q8—22no—
440C2×Q8—21no—
441C2×Q8—44no—
442C2×Q8—44no—
443C2×Q8—42no—
444C2×Q8—44no—
445C2×Q8—42no—
446C2×Q8—42no—
447C2×Q8—88no—
448C2×Q8—88no—
449C2×D4—24no—
450C2×D4—22no—
451C2×D4—22no—
452C2×D4—22no—
453C2×D4—24no—
454C2×D4—22no—
455C2×D4—22no—
456C2×D4—416no—
457C2×D4—42no—
458C2×D4#13714yes—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—24no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—21no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—21no—
486C22×C4—24no—
487C22×C4—41no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—44no—
499C22×C4—44no—
500C22×C4—44no—
501C22×C4—88no—
502C22×C4—88no—
503C22×C4#13514yes—
504C22×C4C22×D411yescharacteristic
505C22×C4C22×D412yes—
506C22×C4C22×D412yes—
507C22×C4C22×D411yescharacteristic
508C22×C4C22×D411yescharacteristic
509C22×C4C22×D411yescharacteristic
510C22×C4C22×D411yescharacteristic
511C22×C4C2×#4112yes—
512C22×C4H(5,𝔽2)12yes—
513C22×C4C2511yescharacteristic
514Q16—88no—
515C2×C8—22no—
516C2×C8—22no—
517C2×C8—22no—
518C2×C8—22no—
519C2×C8—24no—
520C2×C8—22no—
521C2×C8—24no—
522C2×C8—24no—
523C2×C8—22no—
524C2×C8—88no—
525C4⋊C4—24no—
526C4⋊C4—22no—
527C4⋊C4—22no—
528C4⋊C4—24no—
529C4⋊C4—22no—
530C4⋊C4—22no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—22no—
534C4⋊C4—24no—
535C4⋊C4—22no—
536C4⋊C4—24no—
537C4⋊C4—42no—
538C4⋊C4—48no—
539C4⋊C4—48no—
540C4⋊C4—48no—
541C4⋊C4—48no—
542C4⋊C4—44no—
543C4⋊C4—44no—
544C4⋊C4—44no—
545C4⋊C4—44no—
546C4⋊C4—44no—
547C4⋊C4—42no—
548C4⋊C4—42no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—44no—
552C4⋊C4—81no—
553C4⋊C4—81no—
554C4⋊C4—82no—
555C4⋊C4C2×#4114yes—
556C4⋊C4H(5,𝔽2)14yes—
557C22⋊C4—24no—
558C22⋊C4—24no—
559C22⋊C4—42no—
560C22⋊C4—42no—
561C22⋊C4—48no—
562C22⋊C4—48no—
563C22⋊C4—48no—
564C22⋊C4—48no—
565C22⋊C4—44no—
566C22⋊C4—44no—
567C22⋊C4—42no—
568C22⋊C4—44no—
569C22⋊C4—44no—
570C22⋊C4—44no—
571C22⋊C4—42no—
572C22⋊C4—82no—
573C22⋊C4—82no—
574C22⋊C4—82no—
575C22⋊C4—82no—
576C42—22no—
577C42—22no—
578C42—22no—
579C42—44no—
580C42—42no—
581C42—44no—
582C42—44no—
583C42—42no—
584C42—82no—
585C42H(5,𝔽2)14yes—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—48no—
604C23—48no—
605C23—48no—
606C23—48no—
607C23—84no—
608C23—84no—
609C23—84no—
610C23#54612yes—
611C23C2×#13512yes—
612C23C2×#13714yes—
613C23#57812yes—
614C23C23×D411yescharacteristic
615Q8—42no—
616Q8—44no—
617Q8—44no—
618Q8—42no—
619Q8—44no—
620Q8—44no—
621Q8—88no—
622Q8—84no—
623D4—28no—
624D4—48no—
625D4—44no—
626C2×C4—21no—
627C2×C4—21no—
628C2×C4—21no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—28no—
633C2×C4—24no—
634C2×C4—24no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—22no—
638C2×C4—22no—
639C2×C4—24no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—24no—
644C2×C4—22no—
645C2×C4—21no—
646C2×C4—44no—
647C2×C4—48no—
648C2×C4—42no—
649C2×C4—48no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—42no—
653C2×C4—44no—
654C2×C4—44no—
655C2×C4—44no—
656C2×C4—44no—
657C2×C4—41no—
658C2×C4—42no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—42no—
662C2×C4—41no—
663C2×C4—44no—
664C2×C4—44no—
665C2×C4—41no—
666C2×C4—41no—
667C2×C4—41no—
668C2×C4—42no—
669C2×C4—44no—
670C2×C4—41no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—41no—
674C2×C4—41no—
675C2×C4—42no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—84no—
679C2×C4—84no—
680C2×C4—84no—
681C2×C4—88no—
682C2×C4#53412yes—
683C2×C4#53412yes—
684C2×C4#54612yes—
685C2×C4C2×#13512yes—
686C2×C4C2×#13512yes—
687C2×C4C2×#13712yes—
688C2×C4C22×#4111yescharacteristic
689C2×C4C2×H(5,𝔽2)12yes—
690C2×C4C2×H(5,𝔽2)12yes—
691C2×C4C2×H(5,𝔽2)11yescharacteristic
692C8—42no—
693C8—42no—
694C8—44no—
695C22—22no—
696C22—22no—
697C22—22no—
698C22—22no—
699C22—22no—
700C22—22no—
701C22—24no—
702C22—24no—
703C22—24no—
704C22—42no—
705C22—42no—
706C22—42no—
707C22—42no—
708C22—42no—
709C22—42no—
710C22—42no—
711C22—42no—
712C22—42no—
713C22—42no—
714C22—42no—
715C22—816no—
716C22#330214yes—
717C22C2×#53411yescharacteristic
718C22C2×#54611yescharacteristic
719C22#348411yescharacteristic
720C22C22×#13511yescharacteristic
721C22C22×#13711yescharacteristic
722C22C2×#57811yescharacteristic
723C22#358611yescharacteristic
724C4—22no—
725C4—22no—
726C4—22no—
727C4—42no—
728C4—42no—
729C4—41no—
730C4—44no—
731C4—44no—
732C4—84no—
733C4—81no—
734C4—82no—
735C4—81no—
736C4—82no—
737C4—81no—
738C4—81no—
739C4#319014yes—
740C4#350812yes—
741C4#354312yes—
742C2—24no—
743C2—44no—
744C2—82no—
745C2#3946411yescharacteristic
746C2C2×#319011yescharacteristic
747C2#6075911yescharacteristic
748C2C2×#330211yescharacteristic
749C2#6115711yescharacteristic
750C2#6156511yescharacteristic
751C2#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. #33146C2semidirect
4. #32034C2semidirect
5. #30712C2semidirect
6. #29599C2semidirect
7. #28600C2semidirect
8. #26233C2semidirect
9. #25856C2semidirect
10. #25570C2semidirect
11. #25386C2semidirect
12. #24380C2semidirect
13. #24212C2semidirect
14. #24010C2semidirect
16. #21762C2semidirect
17. C4×#483C2semidirect
23. C2×#487C22semidirect
24. C2×#485C22semidirect
26. C2×#467C22semidirect
27. C2×#462C22semidirect
56. #2043C22semidirect
57. #2043C22semidirect
58. #2036C22semidirect
59. #2036C22semidirect
60. #2035C22semidirect
61. #2035C22semidirect
62. #2035C22semidirect
63. #2016C22semidirect
64. #2001C22semidirect
65. #2001C22semidirect
66. #2001C22semidirect
67. #1988C22semidirect
68. #1981C22semidirect
69. #1956C22semidirect
71. #1947C22semidirect
72. #1927C22semidirect
73. #1920C22semidirect
74. #1918C22semidirect
75. #1892C22semidirect
76. #1892C22semidirect
77. #1892C22semidirect
78. #1873C22semidirect
79. #1873C22semidirect
80. #1873C22semidirect
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
#361612
C2×#25422
#331462
#320342
#307122
#295992
#286002
#262332
#258562
#255702
#253862
#243802
#242122
#240102
D4×C22⋊C82
#217622
C4×#4832