Finite Group Databasebeta

← #6447233

Subgroups — #6447233

Order 512.

2192 conjugacy classes of subgroups.

The subgroup lattice has 768 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#34946C211yesmaximal, characteristic
2C2×D4×C4⋊C4C211yesmaximal, characteristic
3#26310C214yesmaximal, complemented
4#26308C214yesmaximal, complemented
5#26302C212yesmaximal, complemented
6#26300C212yesmaximal, complemented
7#26298C212yesmaximal, complemented
8#26296C212yesmaximal, complemented
9#23642C212yesmaximal, complemented
10#23642C212yesmaximal, complemented
11#21322C211yesmaximal, characteristic, complemented
12#21312C211yesmaximal, characteristic, complemented
13#21190C211yesmaximal, characteristic
14#21171C211yesmaximal, characteristic, complemented
15#20844C212yesmaximal, complemented
16#20700C212yesmaximal, complemented
17C4×#428C211yesmaximal, characteristic, complemented
18C2×#533C2211yescharacteristic
19C22×C4×D4—21no—
20C22×C4×D4C2211yescharacteristic
21C23×C4⋊C4C2212yes—
22C2×#428C2211yescharacteristic
23C2×#428C2211yescharacteristic
24C2×#428C2212yes—
25C2×#423C2211yescharacteristic
26C2×#407C2212yes—
27C2×#407C2212yes—
28C2×C4×M16C2211yescharacteristic
29#2563C2211yescharacteristic
30#2563C2211yescharacteristic
31#2562C2212yes—
32#2562C2212yes—
33#2561—22no—
34#2547C2211yescharacteristic
35#2547C2211yescharacteristic
36#2503—21no—
37#2435—21no—
38#2398—22no—
39D4×C4⋊C4—22no—
40D4×C4⋊C4—21no—
41D4×C4⋊C4—21no—
42D4×C4⋊C4C2212yes—
43D4×C4⋊C4C2212yes—
44D4×C4⋊C4C2214yes—
45C4×#124—21no—
46C4×#124—21no—
47C2×#389—21no—
48C2×#385—22no—
49C2×#384C2211yescharacteristic
50#2280C2212yes—
51#2280C2212yes—
52C2×#380C2212yes—
53C4×#117C2211yescharacteristic
54C2×C4×C4⋊C4C2211yescharacteristic
55#2077C2214yescomplemented
56#2077C2214yescomplemented
57#2077C2214yescomplemented
58#2077C2214yescomplemented
59#2076C2214yescomplemented
60#2076C2214yescomplemented
61#2075C2214yescomplemented
62#2075C2214yescomplemented
63#1992C2214yescomplemented
64#1990C2212yescomplemented
65#1990C2212yescomplemented
66#1989C2214yescomplemented
67#1988C2212yescomplemented
68#1987C2212yescomplemented
69#1955C2214yes—
70#1954C2212yes—
71#1954C2212yes—
72#1948C2212yescomplemented
73#1948C2212yescomplemented
74#1947C2212yescomplemented
75#1947C2212yescomplemented
76#1853C2214yescomplemented
77#1853C2214yescomplemented
78#1852C2214yescomplemented
79#1852C2214yescomplemented
80#1824C2214yescomplemented
81#1824C2214yescomplemented
82#1823C2214yescomplemented
83#1823C2214yescomplemented
84#1776C2212yescomplemented
85#1776C2212yescomplemented
86C4×#107C2212yescomplemented
87C4×#106C2212yescomplemented
88#1736C2212yes—
89#1736C2212yes—
90#1736C2212yes—
91#1736C2212yes—
92#1736C2211yescharacteristic
93#1736C2212yes—
94#1736C2211yescharacteristic
95C23×D4D411yescharacteristic
96C24×C4—22no—
97C24×C4C2312yes—
98C22×M16C2311yescharacteristic
99C22×M16C2312yes—
100C22×M16C2311yescharacteristic
101#533—24no—
102#533—24no—
103C2×C4⋊Q8C2311yescharacteristic
104C2×C4⋊Q8C2311yescharacteristic
105C2×#125C2312yes—
106C2×#124—21no—
107C2×#124—21no—
108C2×C22⋊Q8—21no—
109C2×C22⋊Q8—21no—
110C2×C4×Q8—21no—
111C2×C4×Q8—21no—
112C2×C4×D4—24no—
113C2×C4×D4—22no—
114C2×C4×D4—22no—
115C2×C4×D4—24no—
116C2×C4×D4—24no—
117C2×C4×D4—48no—
118C2×C4×D4D412yes—
119C2×C4×D4D411yescharacteristic
120C2×C4×D4D411yescharacteristic
121C2×C4×D4C2312yes—
122C2×C4×D4C2311yescharacteristic
123C2×C4×D4C2311yescharacteristic
124C2×#117C2311yescharacteristic
125C2×#117C2311yescharacteristic
126C2×#117C2312yes—
127C22×C4⋊C4—28no—
128C22×C4⋊C4—22no—
129C22×C4⋊C4—22no—
130C22×C4⋊C4—22no—
131C22×C4⋊C4—21no—
132C22×C4⋊C4—21no—
133C22×C4⋊C4—44no—
134C22×C4⋊C4D411yescharacteristic
135C22×C4⋊C4C2312yes—
136C22×C4⋊C4C2311yescharacteristic
137C22×C4⋊C4C2314yes—
138C22×C4⋊C4C2314yes—
139C22×C4⋊C4C2311yescharacteristic
140C22×C22⋊C4—22no—
141C22×C22⋊C4D412yes—
142C22×C42—21no—
143C22×C42C2311yescharacteristic
144#428—24no—
145#428—24no—
146#428—44no—
147C2×#107C2312yes—
148C2×#107C2312yes—
149C2×#107C2314yes—
150C2×#106C2312yes—
151C2×#106C2312yes—
152C2×#106C2314yes—
153#423—24no—
154C2×C4⋊C8C2312yes—
155C2×C4⋊C8C2312yes—
156#407—28no—
157#407—44no—
158C2×C22⋊C8C2314yes—
159C2×C22⋊C8C2314yes—
160C2×C22⋊C8C2314yes—
161C2×C22⋊C8C2314yes—
162C4×M16—24no—
163C2×#97C2312yes—
164C2×C4×C8C2312yes—
165#400—22no—
166#400—22no—
167#397—22no—
168#397—22no—
169#394—22no—
170#394—22no—
171#393—22no—
172#393—22no—
173#391—21no—
174#391—21no—
175#390—21no—
176#390—21no—
177#389—22no—
178#389—22no—
179#389—24no—
180#388—22no—
181#388—22no—
182#388—22no—
183#388—22no—
184#385—24no—
185#385—24no—
186#385—24no—
187#385—24no—
188#384—21no—
189#384—21no—
190#384C2312yes—
191#384C2312yes—
192#382—21no—
193#382—21no—
194#381—22no—
195#381—22no—
196#380—22no—
197#380—22no—
198#380C2312yes—
199#380C2312yes—
200#380C2312yes—
201#380C2312yes—
202#380C2312yes—
203#380C2312yes—
204#380C2312yes—
205#380C2312yes—
206#380C2314yes—
207#380C2314yes—
208#379—22no—
209#379—22no—
210C4×C4⋊C4—21no—
211C4×C4⋊C4—21no—
212C4×C4⋊C4C2311yescharacteristic
213C4×C4⋊C4C2311yescharacteristic
214C4×C4⋊C4C2311yescharacteristic
215C4×C4⋊C4C2311yescharacteristic
216C4×C4⋊C4C2312yes—
217C4×C4⋊C4C2312yes—
218C4×C22⋊C4—21no—
219C4×C22⋊C4—22no—
220C4×C22⋊C4—22no—
221C4×C22⋊C4—22no—
222C4×C22⋊C4—22no—
223C4×C22⋊C4—21no—
224#376—21no—
225C2×#95—21no—
226C2×#95—22no—
227C43—21no—
228#340C2312yes—
229#340C2314yes—
230#340C2314yes—
231#340C2314yes—
232#340C2314yes—
233#340C2314yes—
234#340C2314yes—
235#340C2314yes—
236#340C2312yes—
237#340C2314yes—
238#340C2312yes—
239#340C2312yes—
240#340C2314yes—
241#340C2314yes—
242C25C2×D412yes—
243C22×Q8—21no—
244C22×Q8—21no—
245C22×D4—24no—
246C22×D4—24no—
247C22×D4—24no—
248C22×D4C2×D412yes—
249C22×D4C2×D411yescharacteristic
250C22×D4C2×D411yescharacteristic
251C23×C4—21no—
252C23×C4—24no—
253C23×C4—24no—
254C23×C4—24no—
255C23×C4—24no—
256C23×C4—24no—
257C23×C4—24no—
258C23×C4—21no—
259C23×C4—22no—
260C23×C4—24no—
261C23×C4—24no—
262C23×C4—48no—
263C23×C4—48no—
264C23×C4—84no—
265C23×C4C2×D412yes—
266C23×C4C2×D412yes—
267C23×C4C2×D412yes—
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2412yes—
271C23×C4C2412yes—
272C23×C4C2411yescharacteristic
273C2×M16—22no—
274C2×M16—22no—
275C2×M16—22no—
276C2×M16—24no—
277C2×M16—24no—
278C2×M16—22no—
279C2×M16—24no—
280C2×M16—22no—
281C2×M16#4114yes—
282C22×C8C2412yes—
283C22×C8C2414yes—
284C22×C8C2412yes—
285C4⋊Q8—22no—
286C4⋊Q8—22no—
287C4⋊Q8—22no—
288C4⋊Q8—22no—
289#125—24no—
290#125—24no—
291#124—44no—
292#124—44no—
293C22⋊Q8—44no—
294C22⋊Q8—44no—
295C4×Q8—44no—
296C4×Q8—44no—
297C4×D4—28no—
298C4×D4—24no—
299C4×D4—24no—
300C4×D4—22no—
301C4×D4—22no—
302C4×D4—24no—
303C4×D4—24no—
304C4×D4—22no—
305C4×D4—22no—
306C4×D4—416no—
307C4×D4—48no—
308C4×D4—48no—
309#117—24no—
310#117—24no—
311#117—22no—
312#117—22no—
313#117—22no—
314#117—22no—
315C2×C4⋊C4—24no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—24no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—24no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—28no—
323C2×C4⋊C4—28no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—24no—
326C2×C4⋊C4—24no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—22no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—21no—
334C2×C4⋊C4—22no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—44no—
337C2×C4⋊C4—44no—
338C2×C4⋊C4—48no—
339C2×C4⋊C4—48no—
340C2×C4⋊C4—48no—
341C2×C4⋊C4—44no—
342C2×C4⋊C4—82no—
343C2×C4⋊C4C2×D411yescharacteristic
344C2×C4⋊C4C2×D411yescharacteristic
345C2×C4⋊C4C2×D412yes—
346C2×C4⋊C4#4114yes—
347C2×C4⋊C4C2414yes—
348C2×C4⋊C4C2412yes—
349C2×C4⋊C4C2412yes—
350C2×C4⋊C4C2412yes—
351C2×C4⋊C4C2411yescharacteristic
352C2×C4⋊C4C2411yescharacteristic
353C2×C4⋊C4C2411yescharacteristic
354C2×C4⋊C4C2411yescharacteristic
355C2×C4⋊C4C2412yes—
356C2×C22⋊C4—28no—
357C2×C22⋊C4—24no—
358C2×C22⋊C4—24no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—21no—
361C2×C22⋊C4—21no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—22no—
365C2×C22⋊C4—22no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—48no—
371C2×C22⋊C4C2×D412yes—
372C2×C22⋊C4C2×D412yes—
373C2×C22⋊C4C2×D412yes—
374C2×C22⋊C4C2×D412yes—
375C2×C42—22no—
376C2×C42—21no—
377C2×C42—21no—
378C2×C42—22no—
379C2×C42—22no—
380C2×C42—21no—
381C2×C42—21no—
382C2×C42—21no—
383C2×C42—21no—
384C2×C42—44no—
385C2×C42C2×D411yescharacteristic
386C2×C42C2×D411yescharacteristic
387C2×C42#4114yes—
388C2×C42#4114yes—
389C2×C42C2411yescharacteristic
390C2×C42C2411yescharacteristic
391#107—24no—
392#107—24no—
393#107—44no—
394#106—24no—
395#106—24no—
396#106—44no—
397C4⋊C8—24no—
398C4⋊C8—24no—
399C22⋊C8—28no—
400C22⋊C8—28no—
401C22⋊C8—44no—
402C22⋊C8—44no—
403#97—24no—
404C4×C8—24no—
405#95—22no—
406#95—22no—
407#95—24no—
408#95—24no—
409#95—21no—
410#95—21no—
411#95—21no—
412#95—21no—
413#95—22no—
414#95—22no—
415#95—22no—
416#95—22no—
417#95—22no—
418#95—22no—
419#95—22no—
420#95—22no—
421C24—24no—
422C24—24no—
423C24—24no—
424C24—24no—
425C24—24no—
426C24—42no—
427C24—42no—
428C24C22×D412yes—
429C24C22×D412yes—
430C24C22×D411yescharacteristic
431C2×Q8—42no—
432C2×Q8—42no—
433C2×Q8—42no—
434C2×Q8—42no—
435C2×Q8—81no—
436C2×Q8—81no—
437C2×D4—232no—
438C2×D4—24no—
439C2×D4—24no—
440C2×D4—24no—
441C2×D4—22no—
442C2×D4—22no—
443C2×D4—22no—
444C2×D4—22no—
445C2×D4AGL(1,ℤ/8)14yes—
446C2×D4#13714yes—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—24no—
450C22×C4—24no—
451C22×C4—24no—
452C22×C4—24no—
453C22×C4—22no—
454C22×C4—24no—
455C22×C4—24no—
456C22×C4—24no—
457C22×C4—24no—
458C22×C4—24no—
459C22×C4—24no—
460C22×C4—22no—
461C22×C4—22no—
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—21no—
473C22×C4—21no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—41no—
481C22×C4—41no—
482C22×C4—48no—
483C22×C4—48no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—48no—
487C22×C4—48no—
488C22×C4—48no—
489C22×C4—48no—
490C22×C4—42no—
491C22×C4—44no—
492C22×C4—44no—
493C22×C4—48no—
494C22×C4—42no—
495C22×C4—44no—
496C22×C4—42no—
497C22×C4—48no—
498C22×C4—84no—
499C22×C4—84no—
500C22×C4—832no—
501C22×C4#12314yes—
502C22×C4#12314yes—
503C22×C4C22×D412yes—
504C22×C4C22×D412yes—
505C22×C4C22×D411yescharacteristic
506C22×C4C22×D411yescharacteristic
507C22×C4C22×D411yescharacteristic
508C22×C4C22×D411yescharacteristic
509C22×C4C22×D411yescharacteristic
510C22×C4C2×#4112yes—
511C22×C4C2×#4112yes—
512C22×C4C2×#4112yes—
513C22×C4C2×#4112yes—
514C22×C4H(5,𝔽2)12yes—
515C22×C42−1+412yes—
516C22×C4C2511yescharacteristic
517M16—28no—
518M16—44no—
519M16—48no—
520C2×C8—22no—
521C2×C8—22no—
522C2×C8—22no—
523C2×C8—24no—
524C2×C8—24no—
525C2×C8—22no—
526C2×C8—24no—
527C2×C8—22no—
528C2×C8C2×#4114yes—
529C4⋊C4—24no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—24no—
533C4⋊C4—22no—
534C4⋊C4—21no—
535C4⋊C4—21no—
536C4⋊C4—22no—
537C4⋊C4—21no—
538C4⋊C4—21no—
539C4⋊C4—24no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—21no—
545C4⋊C4—24no—
546C4⋊C4—21no—
547C4⋊C4—22no—
548C4⋊C4—21no—
549C4⋊C4—21no—
550C4⋊C4—48no—
551C4⋊C4—48no—
552C4⋊C4—44no—
553C4⋊C4—44no—
554C4⋊C4—44no—
555C4⋊C4—42no—
556C4⋊C4—42no—
557C4⋊C4—44no—
558C4⋊C4—42no—
559C4⋊C4—44no—
560C4⋊C4—82no—
561C4⋊C4—82no—
562C4⋊C4C2×#4114yes—
563C22⋊C4—24no—
564C22⋊C4—24no—
565C22⋊C4—24no—
566C22⋊C4—24no—
567C22⋊C4—48no—
568C22⋊C4—44no—
569C22⋊C4—42no—
570C22⋊C4—42no—
571C22⋊C4—48no—
572C22⋊C4—44no—
573C22⋊C4—44no—
574C22⋊C4—44no—
575C22⋊C4—44no—
576C22⋊C4—82no—
577C22⋊C4—82no—
578C22⋊C4—82no—
579C22⋊C4—82no—
580C42—44no—
581C42—44no—
582C42—42no—
583C42—42no—
584C42—44no—
585C42—42no—
586C42—42no—
587C42—81no—
588C42—81no—
589C42#12314yes—
590C42#12314yes—
591C42C2×#4112yes—
592C42C2×#4112yes—
593C42C2×#4112yes—
594C42C2×#4112yes—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—216no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—22no—
611C23—22no—
612C23—48no—
613C23—48no—
614C23—48no—
615C23—48no—
616C23—48no—
617C23—48no—
618C23C2×#12312yes—
619C23#54612yes—
620C23#54712yes—
621C23C2×AGL(1,ℤ/8)14yes—
622C23C2×#13714yes—
623C23C23×D411yescharacteristic
624Q8—84no—
625Q8—84no—
626D4—216no—
627D4—28no—
628D4—28no—
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—21no—
633C2×C4—21no—
634C2×C4—21no—
635C2×C4—28no—
636C2×C4—22no—
637C2×C4—22no—
638C2×C4—24no—
639C2×C4—22no—
640C2×C4—22no—
641C2×C4—22no—
642C2×C4—22no—
643C2×C4—44no—
644C2×C4—48no—
645C2×C4—42no—
646C2×C4—48no—
647C2×C4—42no—
648C2×C4—42no—
649C2×C4—42no—
650C2×C4—42no—
651C2×C4—42no—
652C2×C4—48no—
653C2×C4—48no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—42no—
657C2×C4—42no—
658C2×C4—41no—
659C2×C4—41no—
660C2×C4—42no—
661C2×C4—44no—
662C2×C4—41no—
663C2×C4—41no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—41no—
669C2×C4—41no—
670C2×C4—44no—
671C2×C4—41no—
672C2×C4—41no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—44no—
678C2×C4—42no—
679C2×C4—41no—
680C2×C4—41no—
681C2×C4—42no—
682C2×C4—816no—
683C2×C4—816no—
684C2×C4—84no—
685C2×C4—88no—
686C2×C4C2×#12312yes—
687C2×C4C2×#12312yes—
688C2×C4C2×#12312yes—
689C2×C4C2×#12312yes—
690C2×C4C2×#12312yes—
691C2×C4#52914yes—
692C2×C4#54214yes—
693C2×C4#54612yes—
694C2×C4#54712yes—
695C2×C4#55614yes—
696C2×C4#55914yes—
697C2×C4C2×AGL(1,ℤ/8)12yes—
698C2×C4C2×#13712yes—
699C2×C4C22×#4111yescharacteristic
700C2×C4C22×#4111yescharacteristic
701C2×C4C22×#4111yescharacteristic
702C2×C4C22×#4111yescharacteristic
703C2×C4C2×H(5,𝔽2)11yescharacteristic
704C2×C4C2×2−1+411yescharacteristic
705C8—24no—
706C8—42no—
707C8—44no—
708C22—22no—
709C22—22no—
710C22—22no—
711C22—22no—
712C22—22no—
713C22—22no—
714C22—24no—
715C22—24no—
716C22—24no—
717C22—24no—
718C22—24no—
719C22—24no—
720C22—432no—
721C22—42no—
722C22—42no—
723C22—42no—
724C22—42no—
725C22—42no—
726C22—42no—
727C22—42no—
728C22—42no—
729C22#244714yes—
730C22C22×#12311yescharacteristic
731C22C2×#54611yescharacteristic
732C22C2×#54711yescharacteristic
733C22C22×AGL(1,ℤ/8)11yescharacteristic
734C22C22×#13711yescharacteristic
735C22#358511yescharacteristic
736C22#358611yescharacteristic
737C4—22no—
738C4—22no—
739C4—22no—
740C4—42no—
741C4—42no—
742C4—44no—
743C4—81no—
744C4—82no—
745C4—81no—
746C4—82no—
747C4—82no—
748C4—81no—
749C4—84no—
750C4—81no—
751C4#244714yes—
752C4#309214yes—
753C4C2×#52911yescharacteristic
754C4C2×#54211yescharacteristic
755C4C2×#55611yescharacteristic
756C4C2×#55911yescharacteristic
757C2—24no—
758C2—44no—
759C2—44no—
760C2C2×#244711yescharacteristic
761C2C2×#309211yescharacteristic
762C2#6051711yescharacteristic
763C2#6115511yescharacteristic
764C2#6115711yescharacteristic
765C2#6125211yescharacteristic
766C2#6125411yescharacteristic
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. #26310C2semidirect
4. #26308C2semidirect
5. #26302C2semidirect
6. #26300C2semidirect
7. #26298C2semidirect
8. #26296C2semidirect
9. #23642C2semidirect
10. #23642C2semidirect
11. #21322C2semidirect
12. #21312C2semidirect
14. #21171C2semidirect
15. #20844C2semidirect
16. #20700C2semidirect
17. C4×#428C2semidirect
55. #2077C22semidirect
56. #2077C22semidirect
57. #2077C22semidirect
58. #2077C22semidirect
59. #2076C22semidirect
60. #2076C22semidirect
61. #2075C22semidirect
62. #2075C22semidirect
63. #1992C22semidirect
64. #1990C22semidirect
65. #1990C22semidirect
66. #1989C22semidirect
67. #1988C22semidirect
68. #1987C22semidirect
72. #1948C22semidirect
73. #1948C22semidirect
74. #1947C22semidirect
75. #1947C22semidirect
76. #1853C22semidirect
77. #1853C22semidirect
78. #1852C22semidirect
79. #1852C22semidirect
80. #1824C22semidirect
81. #1824C22semidirect
82. #1823C22semidirect
83. #1823C22semidirect
84. #1776C22semidirect
85. #1776C22semidirect
86. C4×#107C22semidirect
87. C4×#106C22semidirect

Maximal subgroups

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

subgroupindex
#349462
C2×D4×C4⋊C42
#263102
#263082
#263022
#263002
#262982
#262962
#236422
#213222
#213122
#211902
#211712
#208442
#207002
C4×#4282