Finite Group Databasebeta

← #6605572

Subgroups — #6605572

Order 512.

2400 conjugacy classes of subgroups.

The subgroup lattice has 765 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36153C211yesmaximal, characteristic
2C2×D4×C4⋊C4C211yesmaximal, characteristic, complemented
3#33146C211yesmaximal, characteristic, complemented
4#32978C212yesmaximal, complemented
5#27950C211yesmaximal, characteristic, complemented
6#27677C211yesmaximal, characteristic, complemented
7#27600C212yesmaximal, complemented
8#26296C212yesmaximal, complemented
9#26126C214yesmaximal, complemented
10#25010C212yesmaximal, complemented
11#24933C214yesmaximal, complemented
12#24550C212yesmaximal, complemented
13D4×#107C212yesmaximal, complemented
14#22485C212yesmaximal, complemented
15D4×C22⋊C8C211yesmaximal, characteristic, complemented
16C4×#480C211yesmaximal, characteristic, complemented
17C2×#1852C212yesmaximal, complemented
18C2×#547C2211yescharacteristic
19C2×#546—21no—
20C22×C4×D4—21no—
21C22×C4×D4C2211yescharacteristic
22C23×C4⋊C4C2212yes—
23C2×#480C2211yescharacteristic
24C2×#480C2214yescomplemented
25C2×C8×D4C2212yes—
26C22×#107C2214yescomplemented
27C22×C22⋊C8C2212yes—
28#2857C2211yescharacteristic
29#2847C2212yes—
30#2547C2211yescharacteristic
31#2537C2211yescharacteristic
32#2486C2212yes—
33#2427—21no—
34#2425—22no—
35#2417—21no—
36#2416C2212yes—
37#2412—22no—
38D4×C4⋊C4—21no—
39D4×C4⋊C4—22no—
40D4×C4⋊C4—21no—
41D4×C4⋊C4C2214yes—
42D4×C4⋊C4C2211yescharacteristic
43D4×C4⋊C4C2212yes—
44D4×C4⋊C4C2212yes—
45#2339—21no—
46C4×#121C2211yescharacteristic
47C2×#389—21no—
48C2×#385—22no—
49C2×#384C2211yescharacteristic
50C2×#380C2212yes—
51C2×#380C2212yes—
52C2×C4×C4⋊C4C2211yescharacteristic
53#2099C2212yescomplemented
54#2093C2212yescomplemented
55#2083C2214yescomplemented
56#2075C2214yescomplemented
57#2075C2214yescomplemented
58#2075C2214yescomplemented
59#2033C2214yescomplemented
60#1990C2212yescomplemented
61#1988C2212yescomplemented
62#1954C2212yes—
63#1947C2212yescomplemented
64#1947C2212yescomplemented
65#1925C2212yescomplemented
66#1918C2214yescomplemented
67#1918C2212yescomplemented
68#1893C2214yescomplemented
69#1874C2212yes—
70#1874C2211yescharacteristic
71#1874C2214yescomplemented
72#1869C2214yes—
73#1852C2212yes—
74#1852C2212yes—
75#1852C2212yes—
76#1852C2211yescharacteristic
77#1852C2212yes—
78#1852C2214yescomplemented
79#1852C2214yescomplemented
80#1852C2214yescomplemented
81#1852C2214yescomplemented
82#1845C2212yescomplemented
83#1823C2211yescharacteristic
84#1823C2212yes—
85#1823C2214yescomplemented
86#1823C2214yescomplemented
87#1808C2214yescomplemented
88#1802C2212yescomplemented
89#1797C2211yescharacteristic
90#1779C2212yes—
91C4×#107C2212yescomplemented
92C4×#102C2212yescomplemented
93C4×C22⋊C8C2211yescharacteristic
94C2×#340C2214yescomplemented
95C22×#41—21no—
96C23×D4D411yescharacteristic
97C24×C4—22no—
98C24×C4C2312yes—
99C23×C8C2314yes—
100#547—28no—
101#546—48no—
102C2×C4⋊Q8C2311yescharacteristic
103C2×#124—21no—
104C2×#123—22no—
105C2×#123—22no—
106C2×C22⋊Q8—21no—
107C2×C22⋊Q8—21no—
108C2×#121—22no—
109C2×#121—21no—
110C2×#121C2311yescharacteristic
111C2×#121C2312yes—
112C2×#121C2312yes—
113C2×#120—22no—
114C2×C4×D4—28no—
115C2×C4×D4—21no—
116C2×C4×D4—24no—
117C2×C4×D4—22no—
118C2×C4×D4—22no—
119C2×C4×D4—21no—
120C2×C4×D4—48no—
121C2×C4×D4D411yescharacteristic
122C2×C4×D4D412yes—
123C2×C4×D4D411yescharacteristic
124C2×C4×D4C2311yescharacteristic
125C2×C4×D4C2312yes—
126C2×C4×D4C2311yescharacteristic
127C2×C4×D4C2311yescharacteristic
128C22×C4⋊C4—22no—
129C22×C4⋊C4—22no—
130C22×C4⋊C4—22no—
131C22×C4⋊C4—21no—
132C22×C4⋊C4—21no—
133C22×C4⋊C4—48no—
134C22×C4⋊C4D411yescharacteristic
135C22×C4⋊C4C2311yescharacteristic
136C22×C4⋊C4C2312yes—
137C22×C4⋊C4C2311yescharacteristic
138C22×C4⋊C4C2314yes—
139C22×C4⋊C4C2314yes—
140C22×C4⋊C4C2312yes—
141C22×C4⋊C4C2312yes—
142C22×C22⋊C4—22no—
143C22×C22⋊C4—22no—
144C22×C22⋊C4D412yes—
145C22×C42—21no—
146C22×C42C2311yescharacteristic
147#480—24no—
148#480—48no—
149C8×D4—28no—
150C2×#107—48no—
151C2×#107C2312yes—
152C2×#107C2314yes—
153C2×#107C2312yes—
154C2×#107C2314yes—
155C2×#107C2314yes—
156C2×#107C2314yes—
157C2×C4⋊C8C2312yes—
158C2×#102C2312yes—
159C2×#102C2312yes—
160C2×#102C2314yes—
161C2×C22⋊C8—28no—
162C2×C22⋊C8C2312yes—
163C2×C22⋊C8C2314yes—
164C2×C22⋊C8C2311yescharacteristic
165C2×C22⋊C8C2314yes—
166C2×C22⋊C8C2314yes—
167C2×C22⋊C8C2311yescharacteristic
168C2×C4×C8C2312yes—
169#398—22no—
170#397—22no—
171#397—22no—
172#396—22no—
173#394—22no—
174#394—22no—
175#391—21no—
176#391—21no—
177#390C2311yescharacteristic
178#389—22no—
179#389—24no—
180#389—22no—
181#389—21no—
182#389—21no—
183#389C2312yes—
184#389C2311yescharacteristic
185#388—21no—
186#386—22no—
187#386—22no—
188#386—22no—
189#386—21no—
190#386—22no—
191#385—24no—
192#385—24no—
193#385—24no—
194#385—24no—
195#385—22no—
196#384—21no—
197#384—21no—
198#384C2312yes—
199#384C2312yes—
200#384C2311yescharacteristic
201#381—22no—
202#380—21no—
203#380—22no—
204#380—22no—
205#380—22no—
206#380—22no—
207#380—21no—
208#380C2312yes—
209#380C2314yes—
210#380C2314yes—
211#380C2312yes—
212#380C2312yes—
213#380C2312yes—
214#380C2312yes—
215#380C2311yescharacteristic
216C4×C4⋊C4—21no—
217C4×C4⋊C4—21no—
218C4×C4⋊C4C2312yes—
219C4×C4⋊C4C2312yes—
220C4×C4⋊C4C2311yescharacteristic
221C4×C22⋊C4—21no—
222C2×#95—22no—
223C2×#95—21no—
224C2×#95—22no—
225#340C2314yes—
226#340C2314yes—
227#340C2314yes—
228#340C2312yes—
229#340C2314yes—
230#340C2312yes—
231#340C2314yes—
232#340C2314yes—
233#340C2312yes—
234#340C2314yes—
235#340C2312yes—
236#336C2312yes—
237#336C2312yes—
238C25C2×D412yes—
239C2×#41—44no—
240C2×#41—44no—
241C2×#41—44no—
242C22×Q8—21no—
243C22×D4—24no—
244C22×D4—24no—
245C22×D4—21no—
246C22×D4—22no—
247C22×D4—22no—
248C22×D4D818yes—
249C22×D4C2×D412yes—
250C22×D4C2×D411yescharacteristic
251C22×D4C2×D411yescharacteristic
252C22×D4C2411yescharacteristic
253C23×C4—21no—
254C23×C4—28no—
255C23×C4—24no—
256C23×C4—24no—
257C23×C4—21no—
258C23×C4—22no—
259C23×C4—22no—
260C23×C4—24no—
261C23×C4—24no—
262C23×C4—22no—
263C23×C4—21no—
264C23×C4—44no—
265C23×C4—48no—
266C23×C4—48no—
267C23×C4—84no—
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D412yes—
270C23×C4C2×D412yes—
271C23×C4C2×D412yes—
272C23×C4C2×D411yescharacteristic
273C23×C4C2412yes—
274C23×C4C2412yes—
275C23×C4C2411yescharacteristic
276C22×C8—28no—
277C22×C8—28no—
278C22×C8—44no—
279C22×C8C2414yes—
280C22×C8C2412yes—
281C22×C8C2412yes—
282C4⋊Q8—24no—
283#124—44no—
284#123—48no—
285#123—48no—
286C22⋊Q8—44no—
287C22⋊Q8—44no—
288#121—28no—
289#121—22no—
290#121—22no—
291#121—44no—
292#121—48no—
293#121—44no—
294#120—48no—
295C4×D4—24no—
296C4×D4—28no—
297C4×D4—24no—
298C4×D4—28no—
299C4×D4—24no—
300C4×D4—24no—
301C4×D4—416no—
302C4×D4—48no—
303C4×D4—48no—
304C4×D4—44no—
305C4×D4—44no—
306C4×D4#4118yes—
307C2×C4⋊C4—21no—
308C2×C4⋊C4—24no—
309C2×C4⋊C4—24no—
310C2×C4⋊C4—28no—
311C2×C4⋊C4—22no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—28no—
314C2×C4⋊C4—28no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—24no—
317C2×C4⋊C4—24no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—21no—
330C2×C4⋊C4—44no—
331C2×C4⋊C4—44no—
332C2×C4⋊C4—44no—
333C2×C4⋊C4—44no—
334C2×C4⋊C4—48no—
335C2×C4⋊C4—48no—
336C2×C4⋊C4—48no—
337C2×C4⋊C4—44no—
338C2×C4⋊C4—82no—
339C2×C4⋊C4C2×D411yescharacteristic
340C2×C4⋊C4C2×D412yes—
341C2×C4⋊C4C2×D411yescharacteristic
342C2×C4⋊C4C2414yes—
343C2×C4⋊C4C2411yescharacteristic
344C2×C4⋊C4C2411yescharacteristic
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2412yes—
347C2×C4⋊C4C2412yes—
348C2×C4⋊C4C2411yescharacteristic
349C2×C4⋊C4C2412yes—
350C2×C22⋊C4—28no—
351C2×C22⋊C4—21no—
352C2×C22⋊C4—24no—
353C2×C22⋊C4—24no—
354C2×C22⋊C4—22no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—21no—
360C2×C22⋊C4—21no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—21no—
363C2×C22⋊C4—22no—
364C2×C22⋊C4—21no—
365C2×C22⋊C4—48no—
366C2×C22⋊C4—48no—
367C2×C22⋊C4C2×D412yes—
368C2×C22⋊C4C2×D412yes—
369C2×C22⋊C4C2×D412yes—
370C2×C22⋊C4C2×D412yes—
371C2×C42—24no—
372C2×C42—21no—
373C2×C42—22no—
374C2×C42—22no—
375C2×C42—44no—
376C2×C42C2×D411yescharacteristic
377C2×C42C2×D411yescharacteristic
378C2×C42C2411yescharacteristic
379C2×C42C2411yescharacteristic
380#107—24no—
381#107—24no—
382#107—28no—
383#107—44no—
384#107—44no—
385#107—44no—
386C4⋊C8—24no—
387#102—24no—
388#102—24no—
389#102—44no—
390C22⋊C8—24no—
391C22⋊C8—28no—
392C22⋊C8—22no—
393C22⋊C8—28no—
394C22⋊C8—44no—
395C22⋊C8#4114yescomplemented
396C4×C8—24no—
397#95—21no—
398#95—22no—
399#95—22no—
400#95—22no—
401#95—24no—
402#95—24no—
403#95—22no—
404#95—22no—
405#95—21no—
406#95—21no—
407#95—22no—
408#95—22no—
409#95—22no—
410C24—24no—
411C24—24no—
412C24—24no—
413C24—24no—
414C24—21no—
415C24—42no—
416C24—42no—
417C24C2×D818yes—
418C24C22×D412yes—
419C24C22×D412yes—
420C24C22×D411yescharacteristic
421#41—816no—
422C2×Q8—42no—
423C2×Q8—42no—
424C2×Q8—42no—
425C2×D4—24no—
426C2×D4—24no—
427C2×D4—232no—
428C2×D4—22no—
429C2×D4—22no—
430C2×D4—21no—
431C2×D4—22no—
432C2×D4—22no—
433C2×D4—21no—
434C2×D4—44no—
435C2×D4—42no—
436C2×D4—42no—
437C2×D4—44no—
438C2×D4—44no—
439C2×D4—42no—
440C2×D4—44no—
441C2×D4—82no—
442C2×D4—82no—
443C2×D4#12314yes—
444C2×D4C2×D818yes—
445C2×D4C2×D814yes—
446C2×D4C2×D814yes—
447C2×D4#13714yes—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—24no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—24no—
456C22×C4—24no—
457C22×C4—24no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—24no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—22no—
466C22×C4—24no—
467C22×C4—24no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—21no—
471C22×C4—21no—
472C22×C4—22no—
473C22×C4—21no—
474C22×C4—22no—
475C22×C4—24no—
476C22×C4—42no—
477C22×C4—42no—
478C22×C4—42no—
479C22×C4—41no—
480C22×C4—416no—
481C22×C4—416no—
482C22×C4—48no—
483C22×C4—48no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—44no—
487C22×C4—44no—
488C22×C4—44no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—44no—
492C22×C4—44no—
493C22×C4—48no—
494C22×C4—48no—
495C22×C4—44no—
496C22×C4—42no—
497C22×C4—44no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—84no—
502C22×C4—84no—
503C22×C4—82no—
504C22×C4—82no—
505C22×C4—832no—
506C22×C4C2×D814yes—
507C22×C4C22×D411yescharacteristic
508C22×C4C22×D412yes—
509C22×C4C22×D411yescharacteristic
510C22×C4C22×D412yes—
511C22×C4C22×D411yescharacteristic
512C22×C4C22×D411yescharacteristic
513C22×C4C22×D411yescharacteristic
514C22×C4C2×#4118yes—
515C22×C4C2×#4112yes—
516C22×C42−1+412yes—
517C22×C4C2511yescharacteristic
518C2×C8—22no—
519C2×C8—22no—
520C2×C8—22no—
521C2×C8—24no—
522C2×C8—24no—
523C2×C8—22no—
524C2×C8—24no—
525C2×C8—22no—
526C2×C8—416no—
527C2×C8C2×#4114yes—
528C4⋊C4—24no—
529C4⋊C4—24no—
530C4⋊C4—22no—
531C4⋊C4—22no—
532C4⋊C4—22no—
533C4⋊C4—21no—
534C4⋊C4—22no—
535C4⋊C4—24no—
536C4⋊C4—24no—
537C4⋊C4—22no—
538C4⋊C4—24no—
539C4⋊C4—24no—
540C4⋊C4—22no—
541C4⋊C4—21no—
542C4⋊C4—48no—
543C4⋊C4—48no—
544C4⋊C4—44no—
545C4⋊C4—44no—
546C4⋊C4—42no—
547C4⋊C4—42no—
548C4⋊C4—44no—
549C4⋊C4—44no—
550C4⋊C4—42no—
551C4⋊C4—42no—
552C4⋊C4—44no—
553C4⋊C4—81no—
554C4⋊C4—82no—
555C4⋊C4—82no—
556C4⋊C4—82no—
557C4⋊C4#12314yes—
558C4⋊C4H(5,𝔽2)14yes—
559C22⋊C4—24no—
560C22⋊C4—24no—
561C22⋊C4—24no—
562C22⋊C4—42no—
563C22⋊C4—48no—
564C22⋊C4—48no—
565C22⋊C4—44no—
566C22⋊C4—44no—
567C22⋊C4—44no—
568C22⋊C4—44no—
569C22⋊C4—44no—
570C22⋊C4—42no—
571C22⋊C4—44no—
572C22⋊C4—42no—
573C22⋊C4—42no—
574C22⋊C4—81no—
575C22⋊C4—82no—
576C22⋊C4#12318yes—
577C42—22no—
578C42—22no—
579C42—22no—
580C42—44no—
581C42—44no—
582C42—42no—
583C42C2×#4114yes—
584C23—21no—
585C23—22no—
586C23—21no—
587C23—22no—
588C23—21no—
589C23—22no—
590C23—21no—
591C23—22no—
592C23—22no—
593C23—216no—
594C23—216no—
595C23—22no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—48no—
601C23—48no—
602C23—48no—
603C23—48no—
604C23—48no—
605C23—41no—
606C23—41no—
607C23—41no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23C2×#12314yes—
613C23#54712yes—
614C23C22×D814yes—
615C23C22×D812yes—
616C23C22×D814yes—
617C23C2×#13714yes—
618C23#57812yes—
619C23C23×D411yescharacteristic
620Q8—84no—
621D4—216no—
622D4—28no—
623D4—42no—
624D4—42no—
625D4—84no—
626D4—88no—
627D4—164no—
628D4#480116yescomplemented
629C2×C4—21no—
630C2×C4—21no—
631C2×C4—21no—
632C2×C4—22no—
633C2×C4—21no—
634C2×C4—22no—
635C2×C4—21no—
636C2×C4—21no—
637C2×C4—28no—
638C2×C4—28no—
639C2×C4—24no—
640C2×C4—24no—
641C2×C4—28no—
642C2×C4—21no—
643C2×C4—21no—
644C2×C4—22no—
645C2×C4—22no—
646C2×C4—22no—
647C2×C4—24no—
648C2×C4—21no—
649C2×C4—48no—
650C2×C4—44no—
651C2×C4—48no—
652C2×C4—48no—
653C2×C4—48no—
654C2×C4—42no—
655C2×C4—42no—
656C2×C4—44no—
657C2×C4—44no—
658C2×C4—41no—
659C2×C4—44no—
660C2×C4—42no—
661C2×C4—41no—
662C2×C4—42no—
663C2×C4—41no—
664C2×C4—42no—
665C2×C4—42no—
666C2×C4—44no—
667C2×C4—41no—
668C2×C4—42no—
669C2×C4—41no—
670C2×C4—41no—
671C2×C4—42no—
672C2×C4—41no—
673C2×C4—42no—
674C2×C4—44no—
675C2×C4—41no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—41no—
679C2×C4—816no—
680C2×C4—816no—
681C2×C4—88no—
682C2×C4—84no—
683C2×C4—88no—
684C2×C4—84no—
685C2×C4—164no—
686C2×C4C2×#12312yes—
687C2×C4C2×#12314yes—
688C2×C4C2×#12312yes—
689C2×C4#54712yes—
690C2×C4C22×D812yes—
691C2×C4C22×D812yes—
692C2×C4C2×#13712yes—
693C2×C4C22×#4111yescharacteristic
694C2×C4C22×#4112yes—
695C2×C4C2×H(5,𝔽2)12yes—
696C2×C4C2×2−1+411yescharacteristic
697C8—24no—
698C8—44no—
699C8—42no—
700C22—24no—
701C22—22no—
702C22—24no—
703C22—22no—
704C22—22no—
705C22—24no—
706C22—22no—
707C22—24no—
708C22—22no—
709C22—24no—
710C22—22no—
711C22—24no—
712C22—24no—
713C22—24no—
714C22—24no—
715C22—432no—
716C22—42no—
717C22—42no—
718C22—42no—
719C22—42no—
720C22—81no—
721C22—81no—
722C22—81no—
723C22—81no—
724C22—81no—
725C22—81no—
726C22—81no—
727C22C2×#48018yes—
728C22#333414yes—
729C22C22×#12311yescharacteristic
730C22C2×#54711yescharacteristic
731C22#348411yescharacteristic
732C22C23×D811yescharacteristic
733C22C22×#13711yescharacteristic
734C22C2×#57811yescharacteristic
735C22#358511yescharacteristic
736C4—22no—
737C4—22no—
738C4—22no—
739C4—24no—
740C4—41no—
741C4—44no—
742C4—42no—
743C4—82no—
744C4—81no—
745C4—81no—
746C4—82no—
747C4—84no—
748C4—81no—
749C4—82no—
750C4C2×#48014yes—
751C4#348112yes—
752C4#352012yes—
753C2—24no—
754C2—28no—
755C2—44no—
756C2—161no—
757C2#3623711yescharacteristic
758C2C22×#48011yescharacteristic
759C2#6052611yescharacteristic
760C2C2×#333411yescharacteristic
761C2#6125411yescharacteristic
762C2#6155911yescharacteristic
763C2#6160211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#36153C2
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
2. C2×D4×C4⋊C4C2semidirect
3. #33146C2semidirect
4. #32978C2semidirect
5. #27950C2semidirect
6. #27677C2semidirect
7. #27600C2semidirect
8. #26296C2semidirect
9. #26126C2semidirect
10. #25010C2semidirect
11. #24933C2semidirect
12. #24550C2semidirect
13. D4×#107C2semidirect
14. #22485C2semidirect
15. D4×C22⋊C8C2semidirect
16. C4×#480C2semidirect
17. C2×#1852C2semidirect
24. C2×#480C22semidirect
26. C22×#107C22semidirect
53. #2099C22semidirect
54. #2093C22semidirect
55. #2083C22semidirect
56. #2075C22semidirect
57. #2075C22semidirect
58. #2075C22semidirect
59. #2033C22semidirect
60. #1990C22semidirect
61. #1988C22semidirect
63. #1947C22semidirect
64. #1947C22semidirect
65. #1925C22semidirect
66. #1918C22semidirect
67. #1918C22semidirect
68. #1893C22semidirect
71. #1874C22semidirect
78. #1852C22semidirect
79. #1852C22semidirect
80. #1852C22semidirect
81. #1852C22semidirect
82. #1845C22semidirect
85. #1823C22semidirect
86. #1823C22semidirect
87. #1808C22semidirect
88. #1802C22semidirect
91. C4×#107C22semidirect
92. C4×#102C22semidirect
94. C2×#340C22semidirect
395. C22⋊C8#41semidirect
628. D4#480semidirect

Maximal subgroups

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

subgroupindex
#361532
C2×D4×C4⋊C42
#331462
#329782
#279502
#276772
#276002
#262962
#261262
#250102
#249332
#245502
D4×#1072
#224852
D4×C22⋊C82
C4×#4802
C2×#18522