Finite Group Databasebeta

← #6513775

Subgroups — #6513775

Order 512.

1884 conjugacy classes of subgroups.

The subgroup lattice has 783 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#34935C211yesmaximal, characteristic
2#34188C211yesmaximal, characteristic, complemented
3#27679C212yesmaximal, complemented
4#27646C212yesmaximal, complemented
5#27627C212yesmaximal, complemented
6#27626C212yesmaximal, complemented
7#25057C212yesmaximal, complemented
8#25011C212yesmaximal, complemented
9#24991C212yesmaximal, complemented
10#24966C212yesmaximal, complemented
11#24945C214yesmaximal, complemented
12#24873C214yesmaximal, complemented
13#21982C211yesmaximal, characteristic, complemented
14#21959C211yesmaximal, characteristic, complemented
15#21847C211yesmaximal, characteristic, complemented
16#20732C211yesmaximal, characteristic, complemented
17C2×#1802C211yesmaximal, characteristic, complemented
18C2×#525—21no—
19C2×C4×#41C2211yescharacteristic
20C22×C4×D4C2211yescharacteristic
21C2×#482C2214yes—
22C2×#431C2211yescharacteristic
23C22×C4⋊C8C2211yescharacteristic
24C22×#102C2212yes—
25#2538C2211yescharacteristic
26#2538C2211yescharacteristic
27#2537C2211yescharacteristic
28#2537C2211yescharacteristic
29#2536—21no—
30#2535—21no—
31#2534—22no—
32#2486C2212yes—
33#2408C2212yes—
34#2392—22no—
35#2355—21no—
36#2355C2212yescomplemented
37#2354—21no—
38#2354C2212yescomplemented
39#2352—22no—
40#2352C2214yes—
41#2314—22no—
42#2311—21no—
43C4×#121C2212yes—
44C4×#121C2212yes—
45#2285C2211yescharacteristic
46#2285C2211yescharacteristic
47#2285C2212yescomplemented
48#2285C2212yescomplemented
49C2×#384C2211yescharacteristic
50#2280—21no—
51#2274—21no—
52#2101C2214yescomplemented
53#2092C2214yes—
54#2085C2214yescomplemented
55#2077C2214yescomplemented
56#2076C2214yescomplemented
57#2073C2214yes—
58#2034C2214yes—
59#2033C2214yes—
60#1984C2212yescomplemented
61#1954C2212yescomplemented
62#1948C2212yescomplemented
63#1948C2212yescomplemented
64#1948C2212yescomplemented
65#1948C2212yescomplemented
66#1947C2212yescomplemented
67#1947C2212yescomplemented
68#1926C2214yes—
69#1925C2214yes—
70#1921C2214yescomplemented
71#1920C2214yescomplemented
72#1875C2214yes—
73#1869C2214yes—
74#1854C2214yescomplemented
75#1852C2214yes—
76#1845C2212yescomplemented
77#1834C2212yescomplemented
78#1825C2214yescomplemented
79#1823C2212yes—
80#1807C2214yes—
81#1802C2211yescharacteristic
82#1802C2212yes—
83#1802C2212yes—
84#1802C2212yes—
85#1802C2212yes—
86#1802C2211yescharacteristic
87#1802C2211yescharacteristic
88#1802C2211yescharacteristic
89#1797C2212yescomplemented
90#1797C2212yescomplemented
91#1786C2212yes—
92C4×#102C2212yes—
93C4×#102C2212yes—
94C2×#340C2212yes—
95C22×#41D411yescharacteristic
96C23×D4C2311yescharacteristic
97C24×C4—21no—
98C23×C8C2312yes—
99#525—48no—
100C2×#123—22no—
101C2×C22⋊Q8—21no—
102C2×C22⋊Q8—21no—
103C2×#121—21no—
104C2×#121—21no—
105C2×#121C2312yes—
106C2×#121C2312yes—
107C2×#120—22no—
108C4×#41—24no—
109C4×#41—24no—
110C2×C4×Q8D411yescharacteristic
111C2×C4×Q8C2311yescharacteristic
112C2×C4×D4—22no—
113C2×C4×D4—22no—
114C2×C4×D4—21no—
115C2×C4×D4—21no—
116C2×C4×D4—24no—
117C2×C4×D4—24no—
118C2×C4×D4D412yes—
119C2×C4×D4D411yescharacteristic
120C2×C4×D4C2311yescharacteristic
121C2×C4×D4C2311yescharacteristic
122C2×C4×D4C2311yescharacteristic
123C2×C4×D4C2311yescharacteristic
124C2×C4×D4C2312yes—
125C2×C4×D4C2311yescharacteristic
126C2×#117—21no—
127C2×#117—21no—
128C2×#117—22no—
129C2×#117D412yes—
130C2×#117D411yescharacteristic
131C2×#117C2314yes—
132C22×C4⋊C4—21no—
133C22×C4⋊C4—21no—
134C22×C4⋊C4C2311yescharacteristic
135C22×C4⋊C4C2312yes—
136C22×C22⋊C4—21no—
137C22×C42C2312yes—
138C22×C42C2311yescharacteristic
139#482—48no—
140#431—24no—
141C2×#107C2314yes—
142C2×#107C2314yes—
143C2×#106C2314yes—
144C2×#106C2314yes—
145C2×C4⋊C8—24no—
146C2×C4⋊C8C2312yes—
147C2×C4⋊C8C2311yescharacteristic
148C2×C4⋊C8C2311yescharacteristic
149C2×C4⋊C8C2312yes—
150C2×#102—44no—
151C2×#102C2314yes—
152C2×#102C2312yes—
153C2×#102C2312yes—
154C2×#102C2314yes—
155C2×#102C2312yes—
156C2×#102C2312yes—
157C2×C22⋊C8C2312yes—
158C2×C22⋊C8C2314yes—
159C2×C22⋊C8C2314yes—
160C2×C4×C8C2312yes—
161#398—22no—
162#397—22no—
163#396—22no—
164#396—22no—
165#394—22no—
166#394—22no—
167#394—22no—
168#392—22no—
169#391—22no—
170#390—22no—
171#390C2312yes—
172#390C2312yes—
173#389C2312yes—
174#389C2312yes—
175#388—24no—
176#388—24no—
177#388—22no—
178#388—22no—
179#387—24no—
180#387—24no—
181#386—24no—
182#386—22no—
183#386—22no—
184#384—21no—
185#384—21no—
186#384C2312yes—
187#384C2312yes—
188#384C2311yescharacteristic
189#384C2311yescharacteristic
190#384C2311yescharacteristic
191#384C2311yescharacteristic
192#382—21no—
193#382—22no—
194#382—21no—
195#382C2314yes—
196#381—22no—
197#380—22no—
198#380—22no—
199#380—21no—
200#380—22no—
201#380—21no—
202#380—21no—
203#380—21no—
204#380—21no—
205#380—21no—
206#380C2312yes—
207#380C2312yes—
208#380C2312yes—
209#380C2314yes—
210#380C2312yes—
211#379—22no—
212C4×C4⋊C4—22no—
213C4×C4⋊C4—22no—
214C4×C4⋊C4—22no—
215C4×C4⋊C4—22no—
216C4×C4⋊C4—22no—
217C4×C4⋊C4—21no—
218C4×C4⋊C4—21no—
219C4×C4⋊C4C2314yes—
220C4×C4⋊C4C2312yes—
221C4×C4⋊C4C2312yes—
222C4×C22⋊C4—24no—
223C4×C22⋊C4—22no—
224C4×C22⋊C4—22no—
225#340C2314yes—
226#340C2314yes—
227#340C2312yes—
228#340C2312yes—
229#340C2312yes—
230#340C2312yes—
231#340C2314yes—
232#340C2314yes—
233#340C2314yes—
234#340C2314yes—
235#336C2314yes—
236#336C2314yes—
237C25—21no—
238C2×#41—24no—
239C2×#41—24no—
240C2×#41—24no—
241C22×Q8C2×D411yescharacteristic
242C22×D4—22no—
243C22×D4—22no—
244C22×D4—22no—
245C22×D4—22no—
246C22×D4—21no—
247C22×D4—22no—
248C22×D4—22no—
249C22×D4—41no—
250C22×D4—41no—
251C22×D4C2×D412yes—
252C22×D4C2×D411yescharacteristic
253C22×D4C2411yescharacteristic
254C22×D4C2411yescharacteristic
255C23×C4—21no—
256C23×C4—22no—
257C23×C4—21no—
258C23×C4—21no—
259C23×C4—21no—
260C23×C4—21no—
261C23×C4—44no—
262C23×C4—44no—
263C23×C4—44no—
264C23×C4C2×D412yes—
265C23×C4C2×D412yes—
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2412yes—
269C23×C4C2411yescharacteristic
270C22×C8—24no—
271C22×C8—42no—
272C22×C8—42no—
273C22×C8C2414yes—
274C22×C8C2412yes—
275C22×C8C2412yes—
276#123—48no—
277C22⋊Q8—44no—
278C22⋊Q8—44no—
279#121—24no—
280#121—24no—
281#121—42no—
282#121—42no—
283#121—44no—
284#121—44no—
285#120—48no—
286C4×Q8—24no—
287C4×Q8—22no—
288C4×Q8—22no—
289C4×D4—28no—
290C4×D4—24no—
291C4×D4—24no—
292C4×D4—24no—
293C4×D4—22no—
294C4×D4—22no—
295C4×D4—22no—
296C4×D4—22no—
297C4×D4—22no—
298C4×D4—22no—
299C4×D4—22no—
300C4×D4—22no—
301C4×D4—22no—
302C4×D4—22no—
303C4×D4—48no—
304C4×D4—48no—
305C4×D4—44no—
306C4×D4—44no—
307#117—24no—
308#117—28no—
309#117—44no—
310#117—44no—
311#117—44no—
312#117—44no—
313#117—84no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—21no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—22no—
326C2×C4⋊C4—22no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—42no—
333C2×C4⋊C4—42no—
334C2×C4⋊C4—44no—
335C2×C4⋊C4—82no—
336C2×C4⋊C4C2×D411yescharacteristic
337C2×C4⋊C4C2×D412yes—
338C2×C4⋊C4C2×D411yescharacteristic
339C2×C4⋊C4C2×D412yes—
340C2×C4⋊C4C2414yes—
341C2×C4⋊C4C2411yescharacteristic
342C2×C4⋊C4C2411yescharacteristic
343C2×C4⋊C4C2412yes—
344C2×C4⋊C4C2412yes—
345C2×C4⋊C4C2412yes—
346C2×C4⋊C4C2412yes—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—22no—
350C2×C22⋊C4—22no—
351C2×C22⋊C4—21no—
352C2×C22⋊C4—21no—
353C2×C22⋊C4—21no—
354C2×C22⋊C4—21no—
355C2×C22⋊C4—22no—
356C2×C22⋊C4—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—24no—
360C2×C22⋊C4—24no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—22no—
363C2×C22⋊C4—44no—
364C2×C22⋊C4C2×D412yes—
365C2×C22⋊C4C2×D412yes—
366C2×C22⋊C4C2×D412yes—
367C2×C42—24no—
368C2×C42—24no—
369C2×C42—22no—
370C2×C42—22no—
371C2×C42—24no—
372C2×C42—24no—
373C2×C42C2×D412yes—
374C2×C42C2×D412yes—
375C2×C42C2×D411yescharacteristic
376C2×C42C2×D411yescharacteristic
377C2×C42#4114yes—
378C2×C42#4114yes—
379C2×C42C2412yes—
380C2×C42C2411yescharacteristic
381C2×C42C2411yescharacteristic
382#107—44no—
383#107—44no—
384#106—44no—
385#106—44no—
386C4⋊C8—24no—
387C4⋊C8—24no—
388C4⋊C8—22no—
389C4⋊C8—22no—
390#102—28no—
391#102—24no—
392#102—24no—
393#102—44no—
394#102—42no—
395#102—42no—
396C22⋊C8—24no—
397C22⋊C8—44no—
398C22⋊C8—44no—
399C4×C8—24no—
400#95—24no—
401#95—24no—
402#95—22no—
403#95—22no—
404#95—22no—
405#95—22no—
406#95—24no—
407#95—22no—
408#95—22no—
409#95—22no—
410#95—24no—
411#95—22no—
412C24—21no—
413C24—21no—
414C24—42no—
415C24—42no—
416C24—42no—
417C24—42no—
418C24—42no—
419C24—81no—
420C24—81no—
421C24C22×D412yes—
422C24C22×D411yescharacteristic
423#41—416no—
424C2×Q8—22no—
425C2×Q8—22no—
426C2×Q8—22no—
427C2×D4—28no—
428C2×D4—24no—
429C2×D4—24no—
430C2×D4—24no—
431C2×D4—22no—
432C2×D4—22no—
433C2×D4—22no—
434C2×D4—21no—
435C2×D4—21no—
436C2×D4—21no—
437C2×D4—21no—
438C2×D4—21no—
439C2×D4—21no—
440C2×D4—21no—
441C2×D4—21no—
442C2×D4—21no—
443C2×D4—21no—
444C2×D4—44no—
445C2×D4—44no—
446C2×D4—42no—
447C2×D4—42no—
448C2×D4—44no—
449C2×D4—44no—
450C2×D4—44no—
451C2×D4—44no—
452C2×D4—44no—
453C2×D4—42no—
454C2×D4—82no—
455C2×D4—82no—
456C2×D4H(5,𝔽2)12yes—
457C2×D42−1+412yes—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—24no—
463C22×C4—24no—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—22no—
469C22×C4—22no—
470C22×C4—22no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—41no—
480C22×C4—42no—
481C22×C4—41no—
482C22×C4—42no—
483C22×C4—42no—
484C22×C4—42no—
485C22×C4—42no—
486C22×C4—44no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—82no—
500C22×C4—82no—
501C22×C4—816no—
502C22×C4#12314yes—
503C22×C4#12314yes—
504C22×C4#13514yes—
505C22×C4AGL(1,ℤ/8)14yes—
506C22×C4C22×D412yes—
507C22×C4C22×D412yes—
508C22×C4C22×D412yes—
509C22×C4C22×D411yescharacteristic
510C22×C4C22×D411yescharacteristic
511C22×C4C22×D411yescharacteristic
512C22×C4C22×D411yescharacteristic
513C22×C4C22×D411yescharacteristic
514C22×C4C2×#4112yes—
515C22×C4C2×#4112yes—
516C22×C4C2511yescharacteristic
517C2×C8—22no—
518C2×C8—22no—
519C2×C8—24no—
520C2×C8—22no—
521C2×C8—24no—
522C2×C8—22no—
523C2×C8—22no—
524C2×C8—24no—
525C2×C8—22no—
526C2×C8—84no—
527C4⋊C4—22no—
528C4⋊C4—22no—
529C4⋊C4—24no—
530C4⋊C4—24no—
531C4⋊C4—21no—
532C4⋊C4—21no—
533C4⋊C4—21no—
534C4⋊C4—21no—
535C4⋊C4—24no—
536C4⋊C4—22no—
537C4⋊C4—22no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—22no—
541C4⋊C4—22no—
542C4⋊C4—22no—
543C4⋊C4—22no—
544C4⋊C4—24no—
545C4⋊C4—42no—
546C4⋊C4—44no—
547C4⋊C4—42no—
548C4⋊C4—44no—
549C4⋊C4—44no—
550C4⋊C4—42no—
551C4⋊C4—42no—
552C4⋊C4—42no—
553C4⋊C4—44no—
554C4⋊C4—44no—
555C4⋊C4—42no—
556C4⋊C4—42no—
557C4⋊C4—81no—
558C4⋊C4—81no—
559C4⋊C4—82no—
560C4⋊C4—82no—
561C22⋊C4—24no—
562C22⋊C4—24no—
563C22⋊C4—24no—
564C22⋊C4—44no—
565C22⋊C4—44no—
566C22⋊C4—44no—
567C22⋊C4—44no—
568C22⋊C4—44no—
569C22⋊C4—44no—
570C22⋊C4—44no—
571C22⋊C4—44no—
572C22⋊C4—42no—
573C22⋊C4—42no—
574C22⋊C4—42no—
575C22⋊C4—42no—
576C22⋊C4—82no—
577C22⋊C4—82no—
578C22⋊C4—84no—
579C22⋊C4—84no—
580C42—24no—
581C42—24no—
582C42—22no—
583C42—22no—
584C42—44no—
585C42—44no—
586C42—84no—
587C42—84no—
588C42#12314yes—
589C42#12314yes—
590C42C2×#4112yes—
591C42C2×#4112yes—
592C42C2×#4112yes—
593C42C2×#4112yes—
594C23—21no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—22no—
599C23—22no—
600C23—22no—
601C23—22no—
602C23—22no—
603C23—22no—
604C23—22no—
605C23—22no—
606C23—22no—
607C23—48no—
608C23—41no—
609C23—41no—
610C23—41no—
611C23—41no—
612C23—41no—
613C23—41no—
614C23—41no—
615C23—41no—
616C23—41no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—84no—
621C23—84no—
622C23—84no—
623C23—84no—
624C23—84no—
625C23—84no—
626C23C2×#12312yes—
627C23C2×#13512yes—
628C23C2×AGL(1,ℤ/8)12yes—
629C23C23×D411yescharacteristic
630Q8—44no—
631D4—22no—
632D4—22no—
633D4—22no—
634D4—22no—
635D4—48no—
636D4—48no—
637D4—44no—
638D4—41no—
639D4—41no—
640D4—41no—
641D4—41no—
642D4—88no—
643D4—88no—
644C2×C4—21no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—22no—
651C2×C4—22no—
652C2×C4—22no—
653C2×C4—22no—
654C2×C4—22no—
655C2×C4—22no—
656C2×C4—22no—
657C2×C4—22no—
658C2×C4—22no—
659C2×C4—22no—
660C2×C4—22no—
661C2×C4—22no—
662C2×C4—22no—
663C2×C4—44no—
664C2×C4—48no—
665C2×C4—48no—
666C2×C4—42no—
667C2×C4—42no—
668C2×C4—42no—
669C2×C4—42no—
670C2×C4—42no—
671C2×C4—44no—
672C2×C4—42no—
673C2×C4—42no—
674C2×C4—42no—
675C2×C4—41no—
676C2×C4—41no—
677C2×C4—42no—
678C2×C4—44no—
679C2×C4—42no—
680C2×C4—42no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—42no—
687C2×C4—42no—
688C2×C4—41no—
689C2×C4—41no—
690C2×C4—44no—
691C2×C4—84no—
692C2×C4—84no—
693C2×C4—84no—
694C2×C4—84no—
695C2×C4—84no—
696C2×C4—164no—
697C2×C4#482116yescomplemented
698C2×C4C2×#12312yes—
699C2×C4C2×#12312yes—
700C2×C4C2×#12312yes—
701C2×C4C2×#12312yes—
702C2×C4C2×#12312yes—
703C2×C4C2×#13512yes—
704C2×C4C2×#13512yes—
705C2×C4C2×AGL(1,ℤ/8)12yes—
706C2×C4C2×AGL(1,ℤ/8)12yes—
707C2×C4C22×#4111yescharacteristic
708C2×C4C22×#4111yescharacteristic
709C2×C4C2×H(5,𝔽2)11yescharacteristic
710C2×C4C2×2−1+411yescharacteristic
711C2×C4#58511yescharacteristic
712C2×C4#58511yescharacteristic
713C8—42no—
714C8—42no—
715C8—44no—
716C22—22no—
717C22—22no—
718C22—22no—
719C22—22no—
720C22—22no—
721C22—22no—
722C22—42no—
723C22—42no—
724C22—42no—
725C22—42no—
726C22—42no—
727C22—42no—
728C22—42no—
729C22—42no—
730C22—42no—
731C22—42no—
732C22—42no—
733C22—42no—
734C22—42no—
735C22—816no—
736C22—81no—
737C22—81no—
738C22—81no—
739C22—81no—
740C22—81no—
741C22—81no—
742C22—81no—
743C22—81no—
744C22C2×#48214yes—
745C22C22×#12311yescharacteristic
746C22#348811yescharacteristic
747C22#348911yescharacteristic
748C22C22×#13511yescharacteristic
749C22C22×AGL(1,ℤ/8)11yescharacteristic
750C22#358511yescharacteristic
751C22#358611yescharacteristic
752C4—22no—
753C4—22no—
754C4—22no—
755C4—42no—
756C4—42no—
757C4—42no—
758C4—84no—
759C4—82no—
760C4—81no—
761C4—81no—
762C4—82no—
763C4—82no—
764C4—82no—
765C4C2×#48214yes—
766C4C2×#48214yes—
767C4#349211yescharacteristic
768C4#349311yescharacteristic
769C4#349411yescharacteristic
770C4#349511yescharacteristic
771C2—24no—
772C2—82no—
773C2—82no—
774C2—82no—
775C2#3551611yescharacteristic
776C2C22×#48211yescharacteristic
777C2#6051711yescharacteristic
778C2#6195011yescharacteristic
779C2#6196111yescharacteristic
780C2#6209811yescharacteristic
781C2#6210911yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#34935C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×#41 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
2. #34188C2semidirect
3. #27679C2semidirect
4. #27646C2semidirect
5. #27627C2semidirect
6. #27626C2semidirect
7. #25057C2semidirect
8. #25011C2semidirect
9. #24991C2semidirect
10. #24966C2semidirect
11. #24945C2semidirect
12. #24873C2semidirect
13. #21982C2semidirect
14. #21959C2semidirect
15. #21847C2semidirect
16. #20732C2semidirect
17. C2×#1802C2semidirect
36. #2355C22semidirect
38. #2354C22semidirect
47. #2285C22semidirect
48. #2285C22semidirect
52. #2101C22semidirect
54. #2085C22semidirect
55. #2077C22semidirect
56. #2076C22semidirect
60. #1984C22semidirect
61. #1954C22semidirect
62. #1948C22semidirect
63. #1948C22semidirect
64. #1948C22semidirect
65. #1948C22semidirect
66. #1947C22semidirect
67. #1947C22semidirect
70. #1921C22semidirect
71. #1920C22semidirect
74. #1854C22semidirect
76. #1845C22semidirect
77. #1834C22semidirect
78. #1825C22semidirect
89. #1797C22semidirect
90. #1797C22semidirect
697. C2×C4#482semidirect

Maximal subgroups

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

subgroupindex
#349352
#341882
#276792
#276462
#276272
#276262
#250572
#250112
#249912
#249662
#249452
#248732
#219822
#219592
#218472
#207322
C2×#18022