Finite Group Databasebeta

← #6470517

Subgroups — #6470517

Order 512.

2194 conjugacy classes of subgroups.

The subgroup lattice has 771 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35010C211yesmaximal, characteristic
2C2×D4×C4⋊C4C211yesmaximal, characteristic
3#33098C212yesmaximal, complemented
4#32982C212yesmaximal, complemented
5#29908C212yesmaximal, complemented
6#29893C212yesmaximal, complemented
7#26200C214yesmaximal, complemented
8#26128C214yesmaximal, complemented
9#24935C214yesmaximal, complemented
10#24863C214yesmaximal, complemented
11#21938C211yesmaximal, characteristic, complemented
12#21759C211yesmaximal, characteristic, complemented
13#21738C211yesmaximal, characteristic
14C2×#1872C211yesmaximal, characteristic, complemented
15C2×#1853C211yesmaximal, characteristic, complemented
16C22×C22⋊Q8C2211yescharacteristic
17C22×C4×D4—21no—
18C22×C4×D4C2211yescharacteristic
19C23×C4⋊C4C2211yescharacteristic
20C23×C4⋊C4C2211yescharacteristic
21C2×#483C2214yescomplemented
22C22×#106C2212yescomplemented
23C22×#103C2212yescomplemented
24C22×C22⋊C8C2211yescharacteristic
25C22×C22⋊C8C2211yescharacteristic
26#2855C2212yes—
27#2848C2212yes—
28#2627—21no—
29#2626—21no—
30#2579—22no—
31#2564—22no—
32#2487C2212yes—
33#2417C2212yes—
34#2417C2212yes—
35#2409C2212yes—
36D4×C4⋊C4—22no—
37D4×C4⋊C4—22no—
38D4×C4⋊C4C2214yes—
39D4×C4⋊C4C2214yes—
40#2315—21no—
41#2308—21no—
42C2×#389—21no—
43C2×#385—21no—
44C2×#385—21no—
45C2×#384C2211yescharacteristic
46C2×#380C2211yescharacteristic
47C2×#380C2211yescharacteristic
48C2×#380C2211yescharacteristic
49C2×C4×C4⋊C4C2211yescharacteristic
50#2099C2214yescomplemented
51#2096C2214yescomplemented
52#2084C2214yescomplemented
53#2077C2214yescomplemented
54#2077C2214yescomplemented
55#2072C2214yescomplemented
56#2035C2214yescomplemented
57#2035C2214yescomplemented
58#1927C2214yescomplemented
59#1927C2214yescomplemented
60#1920C2214yescomplemented
61#1920C2214yescomplemented
62#1892C2214yescomplemented
63#1872C2212yes—
64#1872C2212yes—
65#1872C2212yes—
66#1872C2212yes—
67#1872C2214yescomplemented
68#1872C2214yescomplemented
69#1869C2214yes—
70#1869C2214yes—
71#1853C2212yes—
72#1853C2212yes—
73#1853C2212yes—
74#1853C2212yes—
75#1853C2212yescomplemented
76#1853C2214yescomplemented
77#1853C2214yescomplemented
78#1853C2212yescomplemented
79#1824C2212yescomplemented
80#1823C2214yescomplemented
81#1817C2212yes—
82#1807C2214yescomplemented
83#1787C2212yescomplemented
84#1779C2212yes—
85C2×#340C2212yescomplemented
86C2×#340C2212yescomplemented
87C23×Q8C2311yescharacteristic
88C23×D4D411yescharacteristic
89C24×C4—21no—
90C24×C4—21no—
91C24×C4C2311yescharacteristic
92C24×C4C2311yescharacteristic
93C23×C8C2312yes—
94C23×C8C2312yes—
95C2×C22⋊Q8—21no—
96C2×C22⋊Q8—21no—
97C2×C22⋊Q8—24no—
98C2×C22⋊Q8—24no—
99C2×C22⋊Q8C2312yes—
100C2×C22⋊Q8C2312yes—
101C2×C22⋊Q8C2312yes—
102C2×C22⋊Q8C2312yes—
103C2×C4×D4—24no—
104C2×C4×D4—24no—
105C2×C4×D4—24no—
106C2×C4×D4—24no—
107C2×C4×D4—48no—
108C2×C4×D4D412yes—
109C2×C4×D4D412yes—
110C2×C4×D4C2312yes—
111C2×C4×D4C2312yes—
112C22×C4⋊C4—21no—
113C22×C4⋊C4—22no—
114C22×C4⋊C4—21no—
115C22×C4⋊C4—21no—
116C22×C4⋊C4—21no—
117C22×C4⋊C4—21no—
118C22×C4⋊C4—21no—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—44no—
121C22×C4⋊C4—44no—
122C22×C4⋊C4D411yescharacteristic
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2314yes—
126C22×C4⋊C4C2312yes—
127C22×C4⋊C4C2312yes—
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2311yescharacteristic
132C22×C4⋊C4C2311yescharacteristic
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4D411yescharacteristic
138C22×C22⋊C4D411yescharacteristic
139C22×C42—21no—
140C22×C42C2311yescharacteristic
141#483—48no—
142C2×#106—44no—
143C2×#106C2314yes—
144C2×#106C2314yes—
145C2×#106C2314yes—
146C2×#106C2314yes—
147C2×#103—44no—
148C2×#103C2314yes—
149C2×#103C2314yes—
150C2×#103C2314yes—
151C2×#103C2314yes—
152C2×C22⋊C8—24no—
153C2×C22⋊C8—24no—
154C2×C22⋊C8C2312yes—
155C2×C22⋊C8C2312yes—
156C2×C22⋊C8C2312yes—
157C2×C22⋊C8C2312yes—
158C2×C22⋊C8C2314yes—
159C2×C22⋊C8C2314yes—
160#400—22no—
161#399—22no—
162#398—22no—
163#398—22no—
164#396—22no—
165#396—22no—
166#395—22no—
167#393—22no—
168#391C2312yes—
169#391C2312yes—
170#389—24no—
171#389—24no—
172#389C2312yes—
173#389C2312yes—
174#387—22no—
175#387—22no—
176#386—22no—
177#386—22no—
178#386—22no—
179#386—22no—
180#385—22no—
181#385—22no—
182#385—22no—
183#385—22no—
184#385—22no—
185#385—22no—
186#385—24no—
187#385—24no—
188#385—24no—
189#385—24no—
190#384—22no—
191#384C2314yes—
192#381—22no—
193#380—21no—
194#380—22no—
195#380—21no—
196#380—21no—
197#380—21no—
198#380—22no—
199#380—22no—
200#380C2312yes—
201#380C2312yes—
202#380C2312yes—
203#380C2312yes—
204#380C2314yes—
205#380C2312yes—
206#380C2312yes—
207#379—22no—
208C4×C4⋊C4—22no—
209C4×C4⋊C4C2314yes—
210C2×#95—21no—
211C2×#95—21no—
212C2×#95—21no—
213C2×#95—21no—
214#340C2314yes—
215#340C2314yes—
216#340C2314yes—
217#340C2314yes—
218#340C2314yes—
219#340C2314yes—
220#340C2314yes—
221#340C2314yes—
222#336C2314yes—
223#336C2314yes—
224C25C2×D411yescharacteristic
225C25C2×D411yescharacteristic
226C22×Q8—21no—
227C22×Q8—22no—
228C22×Q8—22no—
229C22×Q8—42no—
230C22×Q8—42no—
231C22×Q8C2412yes—
232C22×D4—24no—
233C22×D4—24no—
234C22×D4SD1618yes—
235C22×D4C2×D412yes—
236C22×D4C2×D412yes—
237C23×C4—21no—
238C23×C4—22no—
239C23×C4—22no—
240C23×C4—21no—
241C23×C4—21no—
242C23×C4—21no—
243C23×C4—24no—
244C23×C4—22no—
245C23×C4—22no—
246C23×C4—21no—
247C23×C4—21no—
248C23×C4—21no—
249C23×C4—21no—
250C23×C4—42no—
251C23×C4—42no—
252C23×C4—42no—
253C23×C4—42no—
254C23×C4—44no—
255C23×C4—44no—
256C23×C4—44no—
257C23×C4—44no—
258C23×C4—82no—
259C23×C4—82no—
260C23×C4C2×D411yescharacteristic
261C23×C4C2×D411yescharacteristic
262C23×C4C2×D411yescharacteristic
263C23×C4C2×D412yes—
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4#4114yes—
268C23×C4#4114yes—
269C23×C4C2412yes—
270C23×C4C2411yescharacteristic
271C23×C4C2411yescharacteristic
272C23×C4C2411yescharacteristic
273C22×C8—24no—
274C22×C8—24no—
275C22×C8—42no—
276C22×C8—42no—
277C22×C8—42no—
278C22×C8—42no—
279C22×C8C2414yes—
280C22×C8C2414yes—
281C22⋊Q8—24no—
282C22⋊Q8—24no—
283C22⋊Q8—24no—
284C22⋊Q8—24no—
285C22⋊Q8—44no—
286C22⋊Q8—44no—
287C22⋊Q8—44no—
288C22⋊Q8—44no—
289C4×D4—28no—
290C4×D4—28no—
291C4×D4—24no—
292C4×D4—24no—
293C4×D4—24no—
294C4×D4—24no—
295C4×D4—416no—
296C4×D4—416no—
297C2×C4⋊C4—24no—
298C2×C4⋊C4—21no—
299C2×C4⋊C4—24no—
300C2×C4⋊C4—22no—
301C2×C4⋊C4—22no—
302C2×C4⋊C4—24no—
303C2×C4⋊C4—24no—
304C2×C4⋊C4—28no—
305C2×C4⋊C4—21no—
306C2×C4⋊C4—21no—
307C2×C4⋊C4—24no—
308C2×C4⋊C4—22no—
309C2×C4⋊C4—22no—
310C2×C4⋊C4—24no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—21no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—24no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—42no—
323C2×C4⋊C4—44no—
324C2×C4⋊C4—42no—
325C2×C4⋊C4—42no—
326C2×C4⋊C4—42no—
327C2×C4⋊C4—42no—
328C2×C4⋊C4—42no—
329C2×C4⋊C4—42no—
330C2×C4⋊C4—44no—
331C2×C4⋊C4—44no—
332C2×C4⋊C4—48no—
333C2×C4⋊C4—44no—
334C2×C4⋊C4—44no—
335C2×C4⋊C4—44no—
336C2×C4⋊C4—44no—
337C2×C4⋊C4—82no—
338C2×C4⋊C4C2×D412yes—
339C2×C4⋊C4C2×D412yes—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2412yes—
342C2×C4⋊C4C2412yes—
343C2×C4⋊C4C2412yes—
344C2×C4⋊C4C2412yes—
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2412yes—
347C2×C22⋊C4—24no—
348C2×C22⋊C4—24no—
349C2×C22⋊C4—24no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—22no—
352C2×C22⋊C4—22no—
353C2×C22⋊C4—22no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4—44no—
362C2×C22⋊C4—44no—
363C2×C22⋊C4—44no—
364C2×C22⋊C4C2×D412yes—
365C2×C22⋊C4C2×D412yes—
366C2×C22⋊C4C2×D412yes—
367C2×C22⋊C4C2×D412yes—
368C2×C42—22no—
369C2×C42—22no—
370C2×C42—24no—
371C2×C42—44no—
372C2×C42C2×D412yes—
373C2×C42C2412yes—
374#106—28no—
375#106—44no—
376#106—44no—
377#106—44no—
378#103—28no—
379#103—44no—
380#103—44no—
381#103—44no—
382C22⋊C8—24no—
383C22⋊C8—24no—
384C22⋊C8—24no—
385C22⋊C8—24no—
386C22⋊C8—44no—
387C22⋊C8—44no—
388#95—24no—
389#95—22no—
390#95—24no—
391#95—22no—
392#95—22no—
393#95—22no—
394#95—22no—
395#95—22no—
396#95—22no—
397#95—22no—
398#95—22no—
399#95—22no—
400#95—22no—
401#95—22no—
402C24—22no—
403C24—22no—
404C24—41no—
405C24—41no—
406C24—41no—
407C24—41no—
408C24—41no—
409C24—41no—
410C24—41no—
411C24—41no—
412C24#12314yes—
413C24C2×SD1614yes—
414C24C2×SD1614yes—
415C24#13714yes—
416C24C22×D412yes—
417C24C22×D411yescharacteristic
418C24C22×D411yescharacteristic
419C24C22×D411yescharacteristic
420C2×Q8—22no—
421C2×Q8—22no—
422C2×Q8—24no—
423C2×Q8—24no—
424C2×Q8—48no—
425C2×Q8—42no—
426C2×Q8—81no—
427C2×Q8—81no—
428C2×Q8—84no—
429C2×D4—24no—
430C2×D4—24no—
431C2×D4—24no—
432C2×D4—24no—
433C2×D4—232no—
434C2×D4C2×SD1618yes—
435C2×D4C2×SD1618yes—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—22no—
441C22×C4—22no—
442C22×C4—22no—
443C22×C4—22no—
444C22×C4—24no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—24no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—24no—
452C22×C4—24no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—48no—
461C22×C4—48no—
462C22×C4—41no—
463C22×C4—41no—
464C22×C4—42no—
465C22×C4—41no—
466C22×C4—41no—
467C22×C4—41no—
468C22×C4—41no—
469C22×C4—41no—
470C22×C4—42no—
471C22×C4—41no—
472C22×C4—41no—
473C22×C4—41no—
474C22×C4—48no—
475C22×C4—48no—
476C22×C4—44no—
477C22×C4—44no—
478C22×C4—48no—
479C22×C4—42no—
480C22×C4—42no—
481C22×C4—42no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—42no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—48no—
493C22×C4—44no—
494C22×C4—44no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—81no—
498C22×C4—81no—
499C22×C4—82no—
500C22×C4—82no—
501C22×C4—84no—
502C22×C4—81no—
503C22×C4—81no—
504C22×C4—81no—
505C22×C4—81no—
506C22×C4—81no—
507C22×C4—81no—
508C22×C4—816no—
509C22×C4—816no—
510C22×C4#12314yes—
511C22×C4#12314yes—
512C22×C4#12314yes—
513C22×C4C2×SD1614yes—
514C22×C4C22×D412yes—
515C22×C4C22×D412yes—
516C22×C4C22×D411yescharacteristic
517C22×C4C22×D411yescharacteristic
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D412yes—
520C22×C4C2×#4112yes—
521C22×C4C2×#4112yes—
522C22×C4C2×#4112yes—
523C22×C4C2×#4112yes—
524C22×C4C2×#4112yes—
525C22×C4C2×#4112yes—
526C22×C4C2511yescharacteristic
527C2×C8—24no—
528C2×C8—24no—
529C2×C8—24no—
530C2×C8—24no—
531C2×C8—24no—
532C2×C8—24no—
533C2×C8—48no—
534C2×C8—84no—
535C4⋊C4—24no—
536C4⋊C4—24no—
537C4⋊C4—24no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—24no—
543C4⋊C4—24no—
544C4⋊C4—22no—
545C4⋊C4—24no—
546C4⋊C4—24no—
547C4⋊C4—44no—
548C4⋊C4—44no—
549C4⋊C4—48no—
550C4⋊C4—42no—
551C4⋊C4—42no—
552C4⋊C4—42no—
553C4⋊C4—42no—
554C4⋊C4—44no—
555C4⋊C4—44no—
556C4⋊C4—48no—
557C4⋊C4—82no—
558C4⋊C4—82no—
559C4⋊C4—81no—
560C4⋊C4—81no—
561C4⋊C4—84no—
562C4⋊C4—82no—
563C4⋊C4—82no—
564C4⋊C4H(5,𝔽2)14yes—
565C22⋊C4—24no—
566C22⋊C4—24no—
567C22⋊C4—24no—
568C22⋊C4—24no—
569C22⋊C4—44no—
570C22⋊C4—44no—
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—24no—
581C42—22no—
582C42—22no—
583C42—48no—
584C23—21no—
585C23—21no—
586C23—21no—
587C23—21no—
588C23—21no—
589C23—21no—
590C23—21no—
591C23—21no—
592C23—21no—
593C23—21no—
594C23—21no—
595C23—21no—
596C23—22no—
597C23—22no—
598C23—28no—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—44no—
604C23—44no—
605C23—44no—
606C23—44no—
607C23—44no—
608C23—44no—
609C23—44no—
610C23—44no—
611C23—44no—
612C23—44no—
613C23—44no—
614C23—44no—
615C23#483116yescomplemented
616C23C2×#12312yes—
617C23C2×#12312yes—
618C23C2×#12312yes—
619C23C22×SD1614yes—
620C23C22×SD1612yes—
621C23C22×SD1612yes—
622C23C22×SD1612yes—
623C23C2×#13712yes—
624C23C2×#13712yes—
625C23C2×#13712yes—
626C23C23×D411yescharacteristic
627Q8—44no—
628Q8—44no—
629Q8—84no—
630D4—216no—
631D4—216no—
632C2×C4—28no—
633C2×C4—22no—
634C2×C4—21no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—21no—
638C2×C4—21no—
639C2×C4—21no—
640C2×C4—22no—
641C2×C4—24no—
642C2×C4—24no—
643C2×C4—24no—
644C2×C4—24no—
645C2×C4—24no—
646C2×C4—24no—
647C2×C4—22no—
648C2×C4—22no—
649C2×C4—22no—
650C2×C4—22no—
651C2×C4—24no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—44no—
655C2×C4—44no—
656C2×C4—44no—
657C2×C4—48no—
658C2×C4—44no—
659C2×C4—44no—
660C2×C4—48no—
661C2×C4—42no—
662C2×C4—42no—
663C2×C4—44no—
664C2×C4—44no—
665C2×C4—42no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—42no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—88no—
687C2×C4—88no—
688C2×C4—816no—
689C2×C4—84no—
690C2×C4—84no—
691C2×C4—84no—
692C2×C4—84no—
693C2×C4—84no—
694C2×C4—162no—
695C2×C4—162no—
696C2×C4C2×#12312yes—
697C2×C4C2×#12312yes—
698C2×C4C2×#12312yes—
699C2×C4C22×SD1614yes—
700C2×C4C22×#4111yescharacteristic
701C2×C4C22×#4111yescharacteristic
702C2×C4C2×H(5,𝔽2)12yes—
703C2×C4#58512yes—
704C8—44no—
705C8—44no—
706C22—22no—
707C22—22no—
708C22—22no—
709C22—22no—
710C22—22no—
711C22—22no—
712C22—22no—
713C22—22no—
714C22—22no—
715C22—22no—
716C22—22no—
717C22—22no—
718C22—22no—
719C22—22no—
720C22—22no—
721C22—22no—
722C22—22no—
723C22—22no—
724C22—24no—
725C22—24no—
726C22—24no—
727C22—416no—
728C22—416no—
729C22—42no—
730C22—42no—
731C22—42no—
732C22—42no—
733C22C2×#48314yes—
734C22C2×#48314yes—
735C22C2×#48314yes—
736C22C22×#12311yescharacteristic
737C22#348411yescharacteristic
738C22#348511yescharacteristic
739C22C23×SD1611yescharacteristic
740C22C22×#13711yescharacteristic
741C22#358511yescharacteristic
742C22#358611yescharacteristic
743C4—24no—
744C4—22no—
745C4—22no—
746C4—22no—
747C4—42no—
748C4—44no—
749C4—42no—
750C4—82no—
751C4—82no—
752C4—82no—
753C4—82no—
754C4—82no—
755C4—82no—
756C4—82no—
757C4#345912yes—
758C4#350512yes—
759C2—24no—
760C2—24no—
761C2—24no—
762C2—44no—
763C2#3498311yescharacteristic
764C2C22×#48311yescharacteristic
765C2#6051711yescharacteristic
766C2#6156011yescharacteristic
767C2#6157411yescharacteristic
768C2#6169511yescharacteristic
769C2#6170911yescharacteristic
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. #33098C2semidirect
4. #32982C2semidirect
5. #29908C2semidirect
6. #29893C2semidirect
7. #26200C2semidirect
8. #26128C2semidirect
9. #24935C2semidirect
10. #24863C2semidirect
11. #21938C2semidirect
12. #21759C2semidirect
14. C2×#1872C2semidirect
15. C2×#1853C2semidirect
21. C2×#483C22semidirect
22. C22×#106C22semidirect
23. C22×#103C22semidirect
50. #2099C22semidirect
51. #2096C22semidirect
52. #2084C22semidirect
53. #2077C22semidirect
54. #2077C22semidirect
55. #2072C22semidirect
56. #2035C22semidirect
57. #2035C22semidirect
58. #1927C22semidirect
59. #1927C22semidirect
60. #1920C22semidirect
61. #1920C22semidirect
62. #1892C22semidirect
67. #1872C22semidirect
68. #1872C22semidirect
75. #1853C22semidirect
76. #1853C22semidirect
77. #1853C22semidirect
78. #1853C22semidirect
79. #1824C22semidirect
80. #1823C22semidirect
82. #1807C22semidirect
83. #1787C22semidirect
85. C2×#340C22semidirect
86. C2×#340C22semidirect
615. C23#483semidirect

Maximal subgroups

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

subgroupindex
#350102
C2×D4×C4⋊C42
#330982
#329822
#299082
#298932
#262002
#261282
#249352
#248632
#219382
#217592
#217382
C2×#18722
C2×#18532