Finite Group Databasebeta

← #6591963

Subgroups — #6591963

Order 512.

2181 conjugacy classes of subgroups.

The subgroup lattice has 764 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36194C211yesmaximal, characteristic, complemented
2C4×D42C211yesmaximal, characteristic
3#33195C211yesmaximal, characteristic, complemented
4#32956C212yesmaximal, complemented
5#29139C211yesmaximal, characteristic, complemented
6#28280C211yesmaximal, characteristic, complemented
7#27679C212yesmaximal, complemented
8#26529C212yesmaximal, complemented
9#26424C214yesmaximal, complemented
10#26107C212yesmaximal, complemented
11#25966C214yesmaximal, complemented
12#24843C212yesmaximal, complemented
13#22715C212yesmaximal, complemented
14#22650C211yesmaximal, characteristic, complemented
15#22428C212yesmaximal
16C4×#476C211yesmaximal, characteristic, complemented
17#20646C212yesmaximal, complemented
18C2×D42C2211yescharacteristic
19C22×C4×D4—21no—
20C22×C4×D4C2212yes—
21C2×#476C2211yescharacteristic
22C2×#476C2212yescomplemented
23C2×#474C2212yes—
24C2×#436C2212yes—
25C2×#423C2212yescomplemented
26C2×#418C2214yes—
27#2868C2211yescharacteristic, complemented
28#2857C2212yescomplemented
29#2571C2212yescomplemented
30#2563—21no—
31#2538—21no—
32#2497—22no—
33#2492—22no—
34#2439C2214yescomplemented
35#2369—21no—
36#2366C2211yescharacteristic
37#2361—21no—
38#2361C2212yes—
39#2358—22no—
40#2355—21no—
41#2354C2212yes—
42D4×C4⋊C4C2211yescharacteristic
43D4×C4⋊C4C2211yescharacteristic
44D4×C22⋊C4—21no—
45D4×C22⋊C4C2212yes—
46C4×C4⋊Q8C2211yescharacteristic, complemented
47C4×#127C2211yescharacteristic
48C4×#121—21no—
49C4×#121C2212yes—
50C4×#120—22no—
51#2285C2212yescomplemented
52C42×D4C2211yescharacteristic
53C42×D4C2211yescharacteristic
54#2101C2214yescomplemented
55#2092C2214yescomplemented
56#2088C2214yescomplemented
57#2067C2214yescomplemented
58#2065C2214yescomplemented
59#2023C2214yescomplemented
60#1988C2212yescomplemented
61#1987C2211yescharacteristic, complemented
62#1982C2212yes—
63#1957C2212yes—
64#1948C2211yescharacteristic, complemented
65#1948C2212yescomplemented
66#1947C2212yescomplemented
67#1947C2212yescomplemented
68#1939C2212yescomplemented
69#1920C2212yescomplemented
70#1895C2214yes—
71#1875C2214yes—
72#1864C2212yes—
73#1864C2214yes—
74#1864C2214yescomplemented
75#1854C2214yescomplemented
76#1853C2214yescomplemented
77#1851C2214yescomplemented
78#1842C2211yescharacteristic, complemented
79#1834C2212yescomplemented
80#1809C2214yescomplemented
81#1804C2214yes—
82#1804C2214yescomplemented
83#1802C2211yescharacteristic
84#1802C2212yes—
85#1802C2212yes—
86#1802C2212yescomplemented
87#1802C2212yescomplemented
88#1802C2212yescomplemented
89#1797C2212yescomplemented
90#1786C2214yes—
91C4×#106C2212yescomplemented
92C4×C4⋊C8C2211yescharacteristic, complemented
93C4×#102C2212yes—
94#1736C2214yescomplemented
95C23×D4—21no—
96C23×D4C2312yes—
97C24×C4—22no—
98C22×M16C2314yes—
99D42—24no—
100D42Q818yescomplemented
101C2×C4⋊Q8—21no—
102C2×C4⋊Q8—21no—
103C2×C4⋊Q8C2311yescharacteristic
104C2×C4⋊Q8C2312yes—
105C2×#127C2311yescharacteristic
106C2×C22⋊Q8—22no—
107C2×#121—21no—
108C2×#121C2312yes—
109C2×#120—22no—
110C2×C4×Q8—21no—
111C2×C4×D4—21no—
112C2×C4×D4—22no—
113C2×C4×D4—21no—
114C2×C4×D4—22no—
115C2×C4×D4—28no—
116C2×C4×D4—21no—
117C2×C4×D4—22no—
118C2×C4×D4—22no—
119C2×C4×D4—21no—
120C2×C4×D4—44no—
121C2×C4×D4—48no—
122C2×C4×D4D411yescharacteristic
123C2×C4×D4D411yescharacteristic
124C2×C4×D4C2312yes—
125C2×C4×D4C2312yes—
126C2×C4×D4C2312yes—
127C2×C4×D4C2311yescharacteristic
128C2×C4×D4C2311yescharacteristic
129C2×C4×D4C2311yescharacteristic
130C2×C4×D4C2311yescharacteristic
131C2×#117C2314yes—
132C22×C4⋊C4—21no—
133C22×C4⋊C4C2312yes—
134C22×C22⋊C4—22no—
135C22×C22⋊C4—22no—
136C22×C42—21no—
137C22×C42C2312yes—
138#476—24no—
139#476—44no—
140#474—44no—
141#436—28no—
142C2×#107C2314yes—
143C2×#106C2312yes—
144C2×#106C2314yes—
145C2×#106C2312yes—
146#423—44no—
147C2×C4⋊C8C2311yescharacteristic
148C2×C4⋊C8C2312yes—
149C2×C4⋊C8C2311yescharacteristic
150C2×C4⋊C8C2312yes—
151C2×C4⋊C8C2314yes—
152C2×C4⋊C8C2312yes—
153#418—48no—
154C2×#102C2314yes—
155C2×#102C2312yes—
156C2×#102C2312yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×C22⋊C8C2314yes—
162C2×C4×C8C2312yes—
163#400—24no—
164#396—24no—
165#393—24no—
166#391—21no—
167#391—22no—
168#391—24no—
169#390—22no—
170#390—21no—
171#390—21no—
172#390—21no—
173#390C2312yes—
174#390C2312yes—
175#389—22no—
176#389—21no—
177#389—21no—
178#389—22no—
179#389C2312yes—
180#389C2314yes—
181#389C2312yes—
182#388—24no—
183#388—22no—
184#388—22no—
185#387—24no—
186#386—22no—
187#386—22no—
188#386—22no—
189#386—22no—
190#386—22no—
191#385—22no—
192#385—22no—
193#385—22no—
194#384—21no—
195#384—21no—
196#384C2311yescharacteristic
197#384C2311yescharacteristic
198#384C2312yes—
199#384C2312yes—
200#382—22no—
201#382C2314yes—
202#380—22no—
203#380—22no—
204#380—22no—
205#380—21no—
206#380C2312yes—
207#380C2314yes—
208#379—22no—
209C4×C4⋊C4—22no—
210C4×C4⋊C4—21no—
211C4×C4⋊C4—22no—
212C4×C4⋊C4—22no—
213C4×C4⋊C4D411yescharacteristic
214C4×C4⋊C4D411yescharacteristic
215C4×C4⋊C4C2312yes—
216C4×C4⋊C4C2311yescharacteristic
217C4×C4⋊C4C2311yescharacteristic
218C4×C4⋊C4C2311yescharacteristic
219C4×C4⋊C4C2311yescharacteristic
220C4×C22⋊C4—21no—
221C4×C22⋊C4—21no—
222C4×C22⋊C4—21no—
223C4×C22⋊C4—22no—
224C4×C22⋊C4D412yes—
225C4×C22⋊C4D412yes—
226C4×C22⋊C4C2312yes—
227C43C2311yescharacteristic
228#340C2312yes—
229#340C2314yes—
230#340C2314yes—
231#340C2314yes—
232#340C2314yes—
233#340C2314yes—
234#340C2312yes—
235#340C2312yes—
236#340C2312yes—
237#336C2314yes—
238#336C2312yes—
239C25—22no—
240C22×Q8—21no—
241C22×Q8—22no—
242C22×D4—24no—
243C22×D4—24no—
244C22×D4—22no—
245C22×D4—28no—
246C22×D4—22no—
247C22×D4—21no—
248C22×D4—21no—
249C22×D4—24no—
250C22×D4—42no—
251C22×D4—42no—
252C22×D4—44no—
253C22×D4—44no—
254C22×D4C2×D411yescharacteristic
255C22×D4C2×Q818yes—
256C22×D4C2412yes—
257C22×D4C2411yescharacteristic
258C23×C4—21no—
259C23×C4—21no—
260C23×C4—22no—
261C23×C4—22no—
262C23×C4—21no—
263C23×C4—22no—
264C23×C4—22no—
265C23×C4—48no—
266C23×C4—48no—
267C23×C4—84no—
268C23×C4C2×D412yes—
269C23×C4C2×D412yes—
270C23×C4C2412yes—
271C2×M16—28no—
272C2×M16—44no—
273C2×M16—44no—
274C22×C8C2412yes—
275C22×C8C2414yes—
276C22×C8C2412yes—
277C4⋊Q8—22no—
278C4⋊Q8—22no—
279C4⋊Q8—42no—
280C4⋊Q8—42no—
281C4⋊Q8—44no—
282C4⋊Q8—82no—
283#127—22no—
284#127C2×Q814yes—
285C22⋊Q8—84no—
286#121—24no—
287#121—28no—
288#121C2×Q818yes—
289#120—216no—
290C4×Q8—44no—
291C4×D4—24no—
292C4×D4—22no—
293C4×D4—24no—
294C4×D4—24no—
295C4×D4—22no—
296C4×D4—24no—
297C4×D4—22no—
298C4×D4—24no—
299C4×D4—48no—
300C4×D4—42no—
301C4×D4—42no—
302C4×D4—42no—
303C4×D4—41no—
304C4×D4—48no—
305C4×D4—48no—
306C4×D4—44no—
307C4×D4—48no—
308C4×D4—44no—
309C4×D4—44no—
310C4×D4—82no—
311C4×D4C2×Q814yes—
312C4×D4C2×Q814yes—
313C4×D4#4114yes—
314C4×D4#4114yes—
315#117—44no—
316#117—44no—
317C2×C4⋊C4—24no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—22no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—24no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—42no—
333C2×C4⋊C4—44no—
334C2×C4⋊C4C2×D411yescharacteristic
335C2×C4⋊C4C2×D411yescharacteristic
336C2×C4⋊C4C2×D411yescharacteristic
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C4⋊C4C2414yes—
340C2×C4⋊C4C2411yescharacteristic
341C2×C4⋊C4C2412yes—
342C2×C4⋊C4C2411yescharacteristic
343C2×C4⋊C4C2411yescharacteristic
344C2×C22⋊C4—21no—
345C2×C22⋊C4—21no—
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—21no—
354C2×C22⋊C4—24no—
355C2×C22⋊C4—24no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—48no—
359C2×C22⋊C4—48no—
360C2×C22⋊C4C2×D412yes—
361C2×C22⋊C4C2×D412yes—
362C2×C22⋊C4C2×D412yes—
363C2×C42—24no—
364C2×C42—24no—
365C2×C42—21no—
366C2×C42—21no—
367C2×C42—21no—
368C2×C42—22no—
369C2×C42—24no—
370C2×C42—44no—
371C2×C42C2×D411yescharacteristic
372C2×C42C2×D412yes—
373C2×C42C2×D412yes—
374C2×C42C2×D411yescharacteristic
375C2×C42C2×D411yescharacteristic
376C2×C42C2×D411yescharacteristic
377C2×C42C2412yes—
378C2×C42C2411yescharacteristic
379C2×C42C2411yescharacteristic
380C2×C42C2411yescharacteristic
381#107—44no—
382#106—24no—
383#106—42no—
384#106—44no—
385C4⋊C8—24no—
386C4⋊C8—22no—
387C4⋊C8—22no—
388C4⋊C8—24no—
389C4⋊C8—44no—
390C4⋊C8—42no—
391#102—24no—
392#102—24no—
393#102—28no—
394#102—44no—
395#102—44no—
396#102—44no—
397#102—44no—
398C22⋊C8—28no—
399C4×C8—24no—
400#95—21no—
401#95—21no—
402#95—21no—
403#95—22no—
404#95—22no—
405#95—24no—
406#95—24no—
407#95—24no—
408#95—22no—
409#95—22no—
410#95—24no—
411#95C2×D412yes—
412#95C2×D412yes—
413#95C2×D412yes—
414C24—21no—
415C24—22no—
416C24—28no—
417C24—44no—
418C24—44no—
419C24—44no—
420C24—44no—
421C24—82no—
422C24—82no—
423C24C22×D412yes—
424C2×Q8—42no—
425C2×Q8—42no—
426C2×Q8—42no—
427C2×Q8—44no—
428C2×Q8—82no—
429C2×Q8—82no—
430C2×D4—216no—
431C2×D4—28no—
432C2×D4—28no—
433C2×D4—24no—
434C2×D4—24no—
435C2×D4—22no—
436C2×D4—22no—
437C2×D4—21no—
438C2×D4—22no—
439C2×D4—22no—
440C2×D4—21no—
441C2×D4—22no—
442C2×D4—22no—
443C2×D4—21no—
444C2×D4—22no—
445C2×D4—48no—
446C2×D4—48no—
447C2×D4—48no—
448C2×D4—44no—
449C2×D4—44no—
450C2×D4—432no—
451C2×D4—44no—
452C2×D4—44no—
453C2×D4—42no—
454C2×D4—42no—
455C2×D4—81no—
456C2×D4—81no—
457C2×D4C22⋊Q814yes—
458C2×D4C22×Q814yes—
459C2×D4C22×Q812yes—
460C2×D4C2×#4112yes—
461C2×D4H(5,𝔽2)12yes—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—22no—
465C22×C4—22no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—21no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—44no—
482C22×C4—44no—
483C22×C4—44no—
484C22×C4—42no—
485C22×C4—44no—
486C22×C4—44no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—44no—
492C22×C4—44no—
493C22×C4—42no—
494C22×C4—44no—
495C22×C4—44no—
496C22×C4—81no—
497C22×C4—82no—
498C22×C4—82no—
499C22×C4—82no—
500C22×C4—832no—
501C22×C4C22×D412yes—
502C22×C4C22×D412yes—
503C22×C4C22×D411yescharacteristic
504C22×C4C22×D412yes—
505C22×C4C22×D411yescharacteristic
506C22×C4C22×D411yescharacteristic
507C22×C4C22×D411yescharacteristic
508C22×C4C22×D411yescharacteristic
509C22×C4C22×D411yescharacteristic
510C22×C4C22×Q814yes—
511C22×C4C2×#4114yes—
512C22×C4C2511yescharacteristic
513M16—88no—
514C2×C8—22no—
515C2×C8—22no—
516C2×C8—24no—
517C2×C8—22no—
518C2×C8—22no—
519C2×C8—24no—
520C2×C8—24no—
521C2×C8—22no—
522C2×C8—22no—
523C4⋊C4—22no—
524C4⋊C4—22no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—22no—
530C4⋊C4—24no—
531C4⋊C4—22no—
532C4⋊C4—22no—
533C4⋊C4—21no—
534C4⋊C4—24no—
535C4⋊C4—21no—
536C4⋊C4—22no—
537C4⋊C4—44no—
538C4⋊C4—44no—
539C4⋊C4—42no—
540C4⋊C4—44no—
541C4⋊C4—44no—
542C4⋊C4—42no—
543C4⋊C4—42no—
544C4⋊C4—44no—
545C4⋊C4—44no—
546C4⋊C4—42no—
547C4⋊C4—81no—
548C4⋊C4—84no—
549C4⋊C4—82no—
550C4⋊C4—82no—
551C4⋊C4C22⋊Q814yes—
552C4⋊C4C22×Q812yes—
553C4⋊C4C2×#4112yes—
554C22⋊C4—24no—
555C22⋊C4—28no—
556C22⋊C4—24no—
557C22⋊C4—24no—
558C22⋊C4—42no—
559C22⋊C4—44no—
560C22⋊C4—44no—
561C22⋊C4—42no—
562C22⋊C4—44no—
563C22⋊C4—44no—
564C22⋊C4—44no—
565C22⋊C4—44no—
566C22⋊C4—82no—
567C22⋊C4—82no—
568C22⋊C4—84no—
569C22⋊C4—84no—
570C22⋊C4C22⋊Q818yes—
571C42—24no—
572C42—24no—
573C42—22no—
574C42—22no—
575C42—22no—
576C42—22no—
577C42—21no—
578C42—21no—
579C42—41no—
580C42—42no—
581C42—42no—
582C42—42no—
583C42—44no—
584C42—84no—
585C42AGL(1,ℤ/8)14yes—
586C42C22×Q812yes—
587C42C2×#4112yes—
588C42C2×#4112yes—
589C42H(5,𝔽2)12yes—
590C23—22no—
591C23—22no—
592C23—22no—
593C23—22no—
594C23—22no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—24no—
600C23—416no—
601C23—416no—
602C23—41no—
603C23—41no—
604C23—41no—
605C23—41no—
606C23—42no—
607C23—42no—
608C23—42no—
609C23—42no—
610C23—42no—
611C23—42no—
612C23—88no—
613C23—88no—
614C23—88no—
615C23—88no—
616C23—88no—
617C23C2×C22⋊Q814yes—
618C23C23×D411yescharacteristic
619Q8—84no—
620Q8—164no—
621D4—28no—
622D4—24no—
623D4—22no—
624D4—22no—
625D4—24no—
626D4—22no—
627D4—416no—
628D4—416no—
629D4—48no—
630D4—42no—
631D4—42no—
632D4—84no—
633D4#55414yes—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—22no—
638C2×C4—21no—
639C2×C4—22no—
640C2×C4—21no—
641C2×C4—21no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—22no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—21no—
652C2×C4—22no—
653C2×C4—21no—
654C2×C4—22no—
655C2×C4—21no—
656C2×C4—22no—
657C2×C4—41no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—41no—
661C2×C4—48no—
662C2×C4—48no—
663C2×C4—48no—
664C2×C4—42no—
665C2×C4—41no—
666C2×C4—44no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—44no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—42no—
674C2×C4—44no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—84no—
680C2×C4—84no—
681C2×C4—88no—
682C2×C4—88no—
683C2×C4—88no—
684C2×C4—88no—
685C2×C4C2×C22⋊Q812yes—
686C2×C4C2×C22⋊Q814yes—
687C2×C4C2×C22⋊Q812yes—
688C2×C4#54612yes—
689C2×C4#54612yes—
690C2×C4C2×AGL(1,ℤ/8)12yes—
691C2×C4C2×AGL(1,ℤ/8)12yes—
692C2×C4C2×AGL(1,ℤ/8)12yes—
693C2×C4#57512yes—
694C2×C4#57712yes—
695C2×C4C23×Q811yescharacteristic
696C2×C4C22×#4111yescharacteristic
697C2×C4C22×#4111yescharacteristic
698C2×C4C2×H(5,𝔽2)11yescharacteristic
699C2×C4C2×H(5,𝔽2)11yescharacteristic
700C2×C4#58511yescharacteristic
701C8—42no—
702C8—44no—
703C8—42no—
704C22—24no—
705C22—24no—
706C22—24no—
707C22—24no—
708C22—42no—
709C22—42no—
710C22—42no—
711C22—42no—
712C22—42no—
713C22—42no—
714C22—42no—
715C22—42no—
716C22—42no—
717C22—42no—
718C22—44no—
719C22—44no—
720C22—44no—
721C22—832no—
722C22—82no—
723C22—82no—
724C22—82no—
725C22—82no—
726C22C22×C22⋊Q811yescharacteristic
727C22C2×#54611yescharacteristic
728C22#348811yescharacteristic
729C22C22×AGL(1,ℤ/8)11yescharacteristic
730C22C2×#57511yescharacteristic
731C22C2×#57711yescharacteristic
732C22#358511yescharacteristic
733C4—22no—
734C4—24no—
735C4—22no—
736C4—22no—
737C4—41no—
738C4—42no—
739C4—42no—
740C4—42no—
741C4—42no—
742C4—81no—
743C4—84no—
744C4—82no—
745C4—82no—
746C4—82no—
747C4#307714yes—
748C4#332414yes—
749C4C2×#55411yescharacteristic
750C4#347511yescharacteristic
751C4#350111yescharacteristic
752C4#351911yescharacteristic
753C2—44no—
754C2—44no—
755C2—84no—
756C2#3615411yescharacteristic
757C2C2×#307711yescharacteristic
758C2#6049511yescharacteristic
759C2C2×#332411yescharacteristic
760C2#6116611yescharacteristic
761C2#6196111yescharacteristic
762C2#6199611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×D42C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C42×D4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36194C2semidirect
3. #33195C2semidirect
4. #32956C2semidirect
5. #29139C2semidirect
6. #28280C2semidirect
7. #27679C2semidirect
8. #26529C2semidirect
9. #26424C2semidirect
10. #26107C2semidirect
11. #25966C2semidirect
12. #24843C2semidirect
13. #22715C2semidirect
14. #22650C2semidirect
16. C4×#476C2semidirect
17. #20646C2semidirect
22. C2×#476C22semidirect
25. C2×#423C22semidirect
27. #2868C22semidirect
28. #2857C22semidirect
29. #2571C22semidirect
34. #2439C22semidirect
46. C4×C4⋊Q8C22semidirect
51. #2285C22semidirect
54. #2101C22semidirect
55. #2092C22semidirect
56. #2088C22semidirect
57. #2067C22semidirect
58. #2065C22semidirect
59. #2023C22semidirect
60. #1988C22semidirect
61. #1987C22semidirect
64. #1948C22semidirect
65. #1948C22semidirect
66. #1947C22semidirect
67. #1947C22semidirect
68. #1939C22semidirect
69. #1920C22semidirect
74. #1864C22semidirect
75. #1854C22semidirect
76. #1853C22semidirect
77. #1851C22semidirect
78. #1842C22semidirect
79. #1834C22semidirect
80. #1809C22semidirect
82. #1804C22semidirect
86. #1802C22semidirect
87. #1802C22semidirect
88. #1802C22semidirect
89. #1797C22semidirect
91. C4×#106C22semidirect
92. C4×C4⋊C8C22semidirect
94. #1736C22semidirect
100. D42Q8semidirect

Maximal subgroups

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

subgroupindex
#361942
C4×D422
#331952
#329562
#291392
#282802
#276792
#265292
#264242
#261072
#259662
#248432
#227152
#226502
#224282
C4×#4762
#206462