Finite Group Databasebeta

← #6447022

Subgroups — #6447022

Order 512.

2120 conjugacy classes of subgroups.

The subgroup lattice has 792 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2538C211yesmaximal, characteristic
2D4×#117C211yesmaximal, characteristic
3#24984C214yesmaximal, complemented
4#24983C214yesmaximal, complemented
5#24972C212yesmaximal, complemented
6#24971C212yesmaximal, complemented
7#24970C212yesmaximal, complemented
8#24969C212yesmaximal, complemented
9#23642C212yesmaximal, complemented
10#23481C212yesmaximal, complemented
11#21190C211yesmaximal, characteristic
12#21171C211yesmaximal, characteristic, complemented
13#20911C212yesmaximal, complemented
14#20764C211yesmaximal, characteristic, complemented
15#20702C212yesmaximal, complemented
16#20647C211yesmaximal, characteristic, complemented
17C4×#419C211yesmaximal, characteristic, complemented
18C22×C22⋊Q8C2212yes—
19C22×C4×Q8C2211yescharacteristic
20C22×C4×D4C2211yescharacteristic
21C22×#117C2212yes—
22C2×#428C2212yes—
23C2×#423C2211yescharacteristic
24C2×#419C2211yescharacteristic
25C2×#419C2211yescharacteristic
26C2×#419C2212yes—
27C2×#407C2212yes—
28C2×#407C2212yes—
29C2×C4×M16C2211yescharacteristic
30#2538—21no—
31#2538—22no—
32#2538—21no—
33#2538C2212yes—
34#2538C2212yes—
35#2538C2214yes—
36C2×#396—22no—
37#2354C2211yescharacteristic
38#2354C2211yescharacteristic
39#2352C2212yes—
40#2352C2212yes—
41D4×C4⋊C4C2211yescharacteristic
42D4×C4⋊C4C2211yescharacteristic
43#2344—21no—
44#2342—22no—
45D4×C22⋊C4—21no—
46#2293—21no—
47C2×#390—21no—
48C2×#389—21no—
49#2290—22no—
50#2285C2211yescharacteristic
51C2×#384C2211yescharacteristic
52#2280C2212yes—
53C2×#380C2212yes—
54C42×D4—21no—
55C4×#117C2211yescharacteristic
56#2077C2214yescomplemented
57#2077C2214yescomplemented
58#2076C2214yescomplemented
59#2075C2214yescomplemented
60#2036C2214yescomplemented
61#2036C2214yescomplemented
62#2035C2214yescomplemented
63#2035C2214yescomplemented
64#1955C2214yes—
65#1954C2212yes—
66#1954C2212yes—
67#1948C2212yescomplemented
68#1948C2212yescomplemented
69#1947C2212yescomplemented
70#1947C2212yescomplemented
71#1873C2214yescomplemented
72#1873C2214yescomplemented
73#1872C2214yescomplemented
74#1872C2214yescomplemented
75#1836C2214yescomplemented
76#1834C2212yescomplemented
77#1834C2212yescomplemented
78#1825C2214yescomplemented
79#1825C2214yescomplemented
80#1824C2214yescomplemented
81#1823C2214yescomplemented
82#1805C2214yescomplemented
83#1803C2212yescomplemented
84#1803C2212yescomplemented
85#1763C2212yescomplemented
86#1763C2212yescomplemented
87C4×#103C2212yescomplemented
88C4×#103C2212yescomplemented
89#1736C2212yes—
90#1736C2212yes—
91#1736C2211yescharacteristic
92#1736C2212yes—
93#1736C2212yes—
94#1736C2211yescharacteristic
95C23×Q8C2311yescharacteristic
96C23×D4D411yescharacteristic
97C24×C4C2312yes—
98C22×M16C2311yescharacteristic
99C22×M16C2311yescharacteristic
100C22×M16C2312yes—
101C2×C22⋊Q8—22no—
102C2×C22⋊Q8—22no—
103C2×C22⋊Q8—28no—
104C2×C22⋊Q8—44no—
105C2×C22⋊Q8C2314yes—
106C2×C22⋊Q8C2314yes—
107C2×C4×Q8—21no—
108C2×C4×Q8—21no—
109C2×C4×Q8—24no—
110C2×C4×Q8—24no—
111C2×C4×Q8C2312yes—
112C2×C4×Q8C2312yes—
113C2×C4×D4—21no—
114C2×C4×D4—21no—
115C2×C4×D4—24no—
116C2×C4×D4—24no—
117C2×C4×D4D411yescharacteristic
118C2×C4×D4D412yes—
119C2×C4×D4D411yescharacteristic
120C2×C4×D4C2311yescharacteristic
121C2×C4×D4C2312yes—
122C2×C4×D4C2311yescharacteristic
123C2×#117—22no—
124C2×#117—22no—
125C2×#117—28no—
126C2×#117—44no—
127C2×#117C2312yes—
128C2×#117C2311yescharacteristic
129C2×#117C2312yes—
130C2×#117C2312yes—
131C2×#117C2311yescharacteristic
132C22×C4⋊C4—21no—
133C22×C4⋊C4—22no—
134C22×C4⋊C4—21no—
135C22×C4⋊C4—21no—
136C22×C4⋊C4D411yescharacteristic
137C22×C4⋊C4C2312yes—
138C22×C4⋊C4C2311yescharacteristic
139C22×C4⋊C4C2312yes—
140C22×C4⋊C4C2312yes—
141C22×C22⋊C4—22no—
142C22×C22⋊C4—22no—
143C22×C22⋊C4—22no—
144C22×C22⋊C4D412yes—
145C22×C42—22no—
146C22×C42—21no—
147C22×C42C2311yescharacteristic
148#428—44no—
149C2×#107C2314yes—
150C2×#106C2314yes—
151#423—24no—
152C2×C4⋊C8C2312yes—
153C2×C4⋊C8C2312yes—
154#419—24no—
155#419—24no—
156#419—44no—
157C2×#103C2312yes—
158C2×#103C2312yes—
159C2×#103C2312yes—
160C2×#103C2312yes—
161C2×#103C2314yes—
162C2×#103C2314yes—
163#407—44no—
164#407—44no—
165C2×C22⋊C8C2314yes—
166C2×C22⋊C8C2314yes—
167C2×C22⋊C8C2314yes—
168C2×C22⋊C8C2314yes—
169C4×M16—24no—
170C2×#97C2312yes—
171C2×C4×C8C2312yes—
172#396—24no—
173#396—24no—
174#396—24no—
175#396—24no—
176#390—21no—
177#390—21no—
178#390—22no—
179#390—24no—
180#390—22no—
181#389—21no—
182#389—21no—
183#389—22no—
184#389—24no—
185#389—22no—
186#388—22no—
187#388—22no—
188#388—22no—
189#388—22no—
190#387—22no—
191#387—22no—
192#386—22no—
193#386—22no—
194#385—22no—
195#385—22no—
196#384—21no—
197#384—21no—
198#384C2311yescharacteristic
199#384C2311yescharacteristic
200#384C2312yes—
201#384C2312yes—
202#382C2312yes—
203#381—22no—
204#380—21no—
205#380—21no—
206#380—22no—
207#380—22no—
208#380C2312yes—
209#380C2314yes—
210#380C2312yes—
211#380C2314yes—
212#380C2312yes—
213#380C2312yes—
214#379—22no—
215C4×C4⋊C4—21no—
216C4×C4⋊C4—21no—
217C4×C4⋊C4—21no—
218C4×C4⋊C4—21no—
219C4×C4⋊C4C2311yescharacteristic
220C4×C4⋊C4C2311yescharacteristic
221C4×C4⋊C4C2311yescharacteristic
222C4×C4⋊C4C2311yescharacteristic
223C4×C22⋊C4—21no—
224C4×C22⋊C4—21no—
225C4×C22⋊C4—22no—
226C4×C22⋊C4—22no—
227C4×C22⋊C4—22no—
228C4×C22⋊C4—22no—
229#376—21no—
230C2×#95—22no—
231C43—21no—
232#340C2314yes—
233#340C2314yes—
234#340C2312yes—
235#340C2314yes—
236#340C2314yes—
237#340C2312yes—
238#340C2312yes—
239#340C2314yes—
240#340C2314yes—
241#340C2312yes—
242#340C2314yes—
243#340C2314yes—
244C25C2×D412yes—
245C22×Q8—21no—
246C22×Q8—22no—
247C22×Q8—22no—
248C22×Q8—22no—
249C22×Q8—22no—
250C22×Q8—22no—
251C22×Q8#4114yes—
252C22×Q8C2412yes—
253C22×D4—24no—
254C22×D4—24no—
255C22×D4—42no—
256C22×D4C2×D411yescharacteristic
257C22×D4C2×D412yes—
258C22×D4C2×D411yescharacteristic
259C23×C4—21no—
260C23×C4—24no—
261C23×C4—24no—
262C23×C4—24no—
263C23×C4—24no—
264C23×C4—24no—
265C23×C4—24no—
266C23×C4—22no—
267C23×C4—21no—
268C23×C4—22no—
269C23×C4—22no—
270C23×C4C2×D412yes—
271C23×C4C2×D412yes—
272C23×C4C2×D412yes—
273C23×C4C2×D411yescharacteristic
274C23×C4C2×D411yescharacteristic
275C23×C4C2412yes—
276C23×C4C2412yes—
277C23×C4C2411yescharacteristic
278C2×M16—22no—
279C2×M16—22no—
280C2×M16—22no—
281C2×M16—22no—
282C2×M16—24no—
283C2×M16—22no—
284C2×M16—22no—
285C2×M16—24no—
286C2×M16—24no—
287C22×C8C2412yes—
288C22×C8C2412yes—
289C22×C8C2414yes—
290C22⋊Q8—28no—
291C22⋊Q8—28no—
292C22⋊Q8—44no—
293C22⋊Q8—44no—
294C22⋊Q8—48no—
295C22⋊Q8—48no—
296C4×Q8—24no—
297C4×Q8—24no—
298C4×Q8—24no—
299C4×Q8—24no—
300C4×Q8—44no—
301C4×Q8—44no—
302C4×D4—24no—
303C4×D4—28no—
304C4×D4—24no—
305C4×D4—22no—
306C4×D4—22no—
307C4×D4—24no—
308C4×D4—22no—
309C4×D4—24no—
310C4×D4—22no—
311C4×D4—44no—
312C4×D4—44no—
313#117—22no—
314#117—24no—
315#117—22no—
316#117—24no—
317#117—22no—
318#117—24no—
319#117—24no—
320#117—48no—
321#117—48no—
322#117—42no—
323#117—42no—
324#117#4114yes—
325C2×C4⋊C4—24no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—24no—
329C2×C4⋊C4—24no—
330C2×C4⋊C4—24no—
331C2×C4⋊C4—24no—
332C2×C4⋊C4—22no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—24no—
335C2×C4⋊C4—24no—
336C2×C4⋊C4—22no—
337C2×C4⋊C4—22no—
338C2×C4⋊C4—22no—
339C2×C4⋊C4—22no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—22no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—42no—
349C2×C4⋊C4—42no—
350C2×C4⋊C4—48no—
351C2×C4⋊C4—44no—
352C2×C4⋊C4—44no—
353C2×C4⋊C4—82no—
354C2×C4⋊C4C2×D411yescharacteristic
355C2×C4⋊C4C2×D412yes—
356C2×C4⋊C4C2×D411yescharacteristic
357C2×C4⋊C4C2412yes—
358C2×C4⋊C4C2412yes—
359C2×C4⋊C4C2412yes—
360C2×C4⋊C4C2414yes—
361C2×C4⋊C4C2411yescharacteristic
362C2×C4⋊C4C2411yescharacteristic
363C2×C4⋊C4C2411yescharacteristic
364C2×C4⋊C4C2411yescharacteristic
365C2×C22⋊C4—21no—
366C2×C22⋊C4—28no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—24no—
371C2×C22⋊C4—24no—
372C2×C22⋊C4—21no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—22no—
375C2×C22⋊C4—24no—
376C2×C22⋊C4—24no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—48no—
380C2×C22⋊C4—48no—
381C2×C22⋊C4—84no—
382C2×C22⋊C4C2×D412yes—
383C2×C22⋊C4C2×D412yes—
384C2×C22⋊C4C2×D412yes—
385C2×C22⋊C4C2×D412yes—
386C2×C42—21no—
387C2×C42—22no—
388C2×C42—22no—
389C2×C42—22no—
390C2×C42—21no—
391C2×C42—21no—
392C2×C42—21no—
393C2×C42—22no—
394C2×C42—22no—
395C2×C42—21no—
396C2×C42—21no—
397C2×C42—48no—
398C2×C42—44no—
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42#4114yes—
402C2×C42#4114yes—
403C2×C42C2411yescharacteristic
404C2×C42C2411yescharacteristic
405#107—44no—
406#106—44no—
407C4⋊C8—24no—
408C4⋊C8—24no—
409#103—24no—
410#103—24no—
411#103—24no—
412#103—24no—
413#103—44no—
414#103—44no—
415C22⋊C8—44no—
416C22⋊C8—44no—
417C22⋊C8—44no—
418C22⋊C8—44no—
419#97—24no—
420C4×C8—24no—
421#95—24no—
422#95—24no—
423#95—21no—
424#95—21no—
425#95—21no—
426#95—21no—
427#95—22no—
428#95—22no—
429#95—22no—
430#95—22no—
431#95—22no—
432#95—22no—
433C24—24no—
434C24—24no—
435C24—24no—
436C24—24no—
437C24—42no—
438C24—42no—
439C24—42no—
440C24C22×D412yes—
441C24C22×D412yes—
442C24C22×D411yescharacteristic
443C2×Q8—24no—
444C2×Q8—22no—
445C2×Q8—28no—
446C2×Q8—28no—
447C2×Q8—22no—
448C2×Q8—22no—
449C2×Q8—22no—
450C2×Q8—22no—
451C2×Q8—42no—
452C2×Q8—44no—
453C2×Q8—42no—
454C2×Q8—44no—
455C2×Q8C2×#4114yes—
456C2×D4—24no—
457C2×D4—22no—
458C2×D4—24no—
459C2×D4—22no—
460C2×D4—22no—
461C2×D4—22no—
462C2×D4—22no—
463C2×D4—416no—
464C2×D4—42no—
465C2×D4#13714yes—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—24no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—21no—
473C22×C4—21no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—24no—
478C22×C4—24no—
479C22×C4—24no—
480C22×C4—24no—
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—21no—
494C22×C4—21no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—24no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—44no—
502C22×C4—44no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—48no—
506C22×C4—48no—
507C22×C4—48no—
508C22×C4—48no—
509C22×C4—42no—
510C22×C4—44no—
511C22×C4—44no—
512C22×C4—44no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—82no—
518C22×C4—82no—
519C22×C4#12314yes—
520C22×C4#12314yes—
521C22×C4C22×D412yes—
522C22×C4C22×D412yes—
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C2×#4112yes—
529C22×C4C2×#4112yes—
530C22×C4C2×#4112yes—
531C22×C4C2×#4112yes—
532C22×C4H(5,𝔽2)12yes—
533C22×C4H(5,𝔽2)12yes—
534C22×C4C2511yescharacteristic
535M16—48no—
536M16—44no—
537M16—44no—
538C2×C8—22no—
539C2×C8—22no—
540C2×C8—22no—
541C2×C8—22no—
542C2×C8—24no—
543C2×C8—22no—
544C2×C8—22no—
545C2×C8—24no—
546C2×C8—24no—
547C4⋊C4—24no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—21no—
551C4⋊C4—21no—
552C4⋊C4—21no—
553C4⋊C4—21no—
554C4⋊C4—22no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—24no—
559C4⋊C4—22no—
560C4⋊C4—22no—
561C4⋊C4—21no—
562C4⋊C4—24no—
563C4⋊C4—21no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—48no—
567C4⋊C4—48no—
568C4⋊C4—44no—
569C4⋊C4—42no—
570C4⋊C4—44no—
571C4⋊C4—44no—
572C4⋊C4—44no—
573C4⋊C4—42no—
574C4⋊C4—44no—
575C4⋊C4—42no—
576C4⋊C4—81no—
577C4⋊C4—81no—
578C4⋊C4—82no—
579C4⋊C4—82no—
580C4⋊C4C2×#4112yes—
581C4⋊C4C2×#4112yes—
582C22⋊C4—24no—
583C22⋊C4—24no—
584C22⋊C4—24no—
585C22⋊C4—24no—
586C22⋊C4—24no—
587C22⋊C4—44no—
588C22⋊C4—44no—
589C22⋊C4—48no—
590C22⋊C4—48no—
591C22⋊C4—44no—
592C22⋊C4—44no—
593C22⋊C4—42no—
594C22⋊C4—44no—
595C22⋊C4—82no—
596C22⋊C4—82no—
597C22⋊C4—84no—
598C22⋊C4—84no—
599C42—24no—
600C42—44no—
601C42—44no—
602C42—44no—
603C42—44no—
604C42—44no—
605C42—42no—
606C42—42no—
607C42—42no—
608C42—81no—
609C42—81no—
610C42#12314yes—
611C42#12314yes—
612C42C2×#4112yes—
613C42C2×#4112yes—
614C42C2×#4112yes—
615C42C2×#4112yes—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—22no—
621C23—22no—
622C23—22no—
623C23—22no—
624C23—22no—
625C23—22no—
626C23—22no—
627C23—22no—
628C23—22no—
629C23—22no—
630C23—22no—
631C23—22no—
632C23—22no—
633C23—48no—
634C23—48no—
635C23—48no—
636C23—48no—
637C23—84no—
638C23—84no—
639C23—84no—
640C23C2×#12312yes—
641C23#54612yes—
642C23#54612yes—
643C23C2×#13714yes—
644C23C23×D411yescharacteristic
645Q8—24no—
646Q8—24no—
647Q8—48no—
648Q8—42no—
649Q8—42no—
650D4—28no—
651D4—48no—
652D4—44no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—28no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—24no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—44no—
670C2×C4—41no—
671C2×C4—41no—
672C2×C4—42no—
673C2×C4—48no—
674C2×C4—48no—
675C2×C4—42no—
676C2×C4—41no—
677C2×C4—41no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—48no—
681C2×C4—48no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—41no—
689C2×C4—42no—
690C2×C4—44no—
691C2×C4—42no—
692C2×C4—41no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—44no—
701C2×C4—41no—
702C2×C4—42no—
703C2×C4—41no—
704C2×C4—42no—
705C2×C4—44no—
706C2×C4—88no—
707C2×C4—88no—
708C2×C4—84no—
709C2×C4—88no—
710C2×C4C2×#12312yes—
711C2×C4C2×#12312yes—
712C2×C4C2×#12312yes—
713C2×C4C2×#12312yes—
714C2×C4C2×#12312yes—
715C2×C4#52914yes—
716C2×C4#54014yes—
717C2×C4#54612yes—
718C2×C4#54612yes—
719C2×C4#55314yes—
720C2×C4#55514yes—
721C2×C4C2×#13712yes—
722C2×C4#57512yes—
723C2×C4C22×#4111yescharacteristic
724C2×C4C22×#4111yescharacteristic
725C2×C4C22×#4111yescharacteristic
726C2×C4C22×#4111yescharacteristic
727C2×C4C2×H(5,𝔽2)11yescharacteristic
728C2×C4C2×H(5,𝔽2)11yescharacteristic
729C8—44no—
730C8—42no—
731C8—42no—
732C22—22no—
733C22—22no—
734C22—22no—
735C22—22no—
736C22—22no—
737C22—22no—
738C22—24no—
739C22—24no—
740C22—24no—
741C22—42no—
742C22—42no—
743C22—42no—
744C22—42no—
745C22—42no—
746C22—42no—
747C22—42no—
748C22—42no—
749C22—42no—
750C22—42no—
751C22—42no—
752C22—816no—
753C22#242014yes—
754C22C22×#12311yescharacteristic
755C22C2×#54611yescharacteristic
756C22C2×#54611yescharacteristic
757C22C22×#13711yescharacteristic
758C22C2×#57511yescharacteristic
759C22#358511yescharacteristic
760C22#358611yescharacteristic
761C4—22no—
762C4—22no—
763C4—22no—
764C4—42no—
765C4—42no—
766C4—44no—
767C4—42no—
768C4—42no—
769C4—82no—
770C4—81no—
771C4—81no—
772C4—84no—
773C4—82no—
774C4—82no—
775C4#242014yes—
776C4#309514yes—
777C4C2×#52911yescharacteristic
778C4C2×#54011yescharacteristic
779C4C2×#55311yescharacteristic
780C4C2×#55511yescharacteristic
781C2—24no—
782C2—44no—
783C2—82no—
784C2C2×#242011yescharacteristic
785C2C2×#309511yescharacteristic
786C2#6052011yescharacteristic
787C2#6115711yescharacteristic
788C2#6116011yescharacteristic
789C2#6116211yescharacteristic
790C2#6116511yescharacteristic
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. #24984C2semidirect
4. #24983C2semidirect
5. #24972C2semidirect
6. #24971C2semidirect
7. #24970C2semidirect
8. #24969C2semidirect
9. #23642C2semidirect
10. #23481C2semidirect
12. #21171C2semidirect
13. #20911C2semidirect
14. #20764C2semidirect
15. #20702C2semidirect
16. #20647C2semidirect
17. C4×#419C2semidirect
56. #2077C22semidirect
57. #2077C22semidirect
58. #2076C22semidirect
59. #2075C22semidirect
60. #2036C22semidirect
61. #2036C22semidirect
62. #2035C22semidirect
63. #2035C22semidirect
67. #1948C22semidirect
68. #1948C22semidirect
69. #1947C22semidirect
70. #1947C22semidirect
71. #1873C22semidirect
72. #1873C22semidirect
73. #1872C22semidirect
74. #1872C22semidirect
75. #1836C22semidirect
76. #1834C22semidirect
77. #1834C22semidirect
78. #1825C22semidirect
79. #1825C22semidirect
80. #1824C22semidirect
81. #1823C22semidirect
82. #1805C22semidirect
83. #1803C22semidirect
84. #1803C22semidirect
85. #1763C22semidirect
86. #1763C22semidirect
87. C4×#103C22semidirect
88. C4×#103C22semidirect

Maximal subgroups

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

subgroupindex
C2×#25382
D4×#1172
#249842
#249832
#249722
#249712
#249702
#249692
#236422
#234812
#211902
#211712
#209112
#207642
#207022
#206472
C4×#4192