Finite Group Databasebeta

← #6513774

Subgroups — #6513774

Order 512.

2050 conjugacy classes of subgroups.

The subgroup lattice has 794 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#34935C211yesmaximal, characteristic
2#34183C211yesmaximal, characteristic, complemented
3#27678C212yesmaximal, complemented
4#27645C212yesmaximal, complemented
5#27625C212yesmaximal, complemented
6#27625C212yesmaximal, complemented
7#25058C212yesmaximal, complemented
8#25012C212yesmaximal, complemented
9#24992C212yesmaximal, complemented
10#24967C212yesmaximal, complemented
11#24937C214yesmaximal, complemented
12#24865C214yesmaximal, complemented
13#21981C211yesmaximal, characteristic, complemented
14#21959C211yesmaximal, characteristic, complemented
15#21847C211yesmaximal, characteristic, complemented
16#20732C211yesmaximal, characteristic, complemented
17C2×#1802C211yesmaximal, characteristic, complemented
18C2×#525—21no—
19C2×#520—21no—
20C2×C4×#41C2211yescharacteristic
21C22×C4×D4C2211yescharacteristic
22C2×#481C2214yes—
23C2×#431C2211yescharacteristic
24C22×C4⋊C8C2211yescharacteristic
25C22×#102C2212yes—
26#2538C2211yescharacteristic
27#2538C2211yescharacteristic
28#2537C2211yescharacteristic
29#2537C2211yescharacteristic
30#2536—21no—
31#2535—21no—
32#2534—22no—
33#2486C2212yes—
34#2408C2212yes—
35#2392—22no—
36Q8×C4⋊C4—21no—
37Q8×C4⋊C4C2212yescomplemented
38D4×C4⋊C4—22no—
39D4×C4⋊C4—21no—
40D4×C4⋊C4C2214yes—
41D4×C4⋊C4C2212yescomplemented
42#2317—21no—
43#2317—22no—
44C4×#121C2212yes—
45C4×#121C2212yes—
46#2285C2211yescharacteristic
47#2285C2211yescharacteristic
48#2285C2212yescomplemented
49C2×#384C2211yescharacteristic
50C2×#384C2212yescomplemented
51#2280—21no—
52#2100C2214yescomplemented
53#2094C2214yes—
54#2084C2214yescomplemented
55#2077C2214yescomplemented
56#2077C2214yescomplemented
57#2071C2214yes—
58#2034C2214yes—
59#2034C2214yes—
60#1984C2212yescomplemented
61#1954C2212yescomplemented
62#1948C2212yescomplemented
63#1948C2212yescomplemented
64#1948C2212yescomplemented
65#1948C2212yescomplemented
66#1948C2212yescomplemented
67#1948C2212yescomplemented
68#1926C2214yes—
69#1926C2214yes—
70#1919C2214yescomplemented
71#1919C2214yescomplemented
72#1874C2214yes—
73#1869C2214yes—
74#1853C2214yes—
75#1853C2214yescomplemented
76#1844C2212yescomplemented
77#1834C2212yescomplemented
78#1824C2214yescomplemented
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—
108#520—48no—
109C4×#41—24no—
110C4×#41—24no—
111C2×C4×Q8—22no—
112C2×C4×Q8D411yescharacteristic
113C2×C4×Q8C2311yescharacteristic
114C2×C4×D4—24no—
115C2×C4×D4—22no—
116C2×C4×D4—22no—
117C2×C4×D4—22no—
118C2×C4×D4—21no—
119C2×C4×D4—21no—
120C2×C4×D4—24no—
121C2×C4×D4—24no—
122C2×C4×D4D412yes—
123C2×C4×D4D411yescharacteristic
124C2×C4×D4C2311yescharacteristic
125C2×C4×D4C2311yescharacteristic
126C2×C4×D4C2311yescharacteristic
127C2×C4×D4C2311yescharacteristic
128C2×C4×D4C2312yes—
129C2×C4×D4C2311yescharacteristic
130C2×#117—21no—
131C2×#117—22no—
132C2×#117—21no—
133C2×#117D412yes—
134C2×#117D411yescharacteristic
135C22×C4⋊C4—21no—
136C22×C4⋊C4—22no—
137C22×C4⋊C4—21no—
138C22×C4⋊C4—22no—
139C22×C4⋊C4C2311yescharacteristic
140C22×C4⋊C4C2314yes—
141C22×C4⋊C4C2312yes—
142C22×C22⋊C4—21no—
143C22×C42C2312yes—
144C22×C42C2311yescharacteristic
145#481—48no—
146#431—24no—
147C2×#106C2314yes—
148C2×#106C2314yes—
149C2×#106C2314yes—
150C2×#106C2314yes—
151C2×C4⋊C8—24no—
152C2×C4⋊C8C2312yes—
153C2×C4⋊C8C2311yescharacteristic
154C2×C4⋊C8C2311yescharacteristic
155C2×C4⋊C8C2312yes—
156C2×#102—44no—
157C2×#102C2314yes—
158C2×#102C2312yes—
159C2×#102C2312yes—
160C2×#102C2314yes—
161C2×#102C2312yes—
162C2×#102C2312yes—
163C2×C22⋊C8C2312yes—
164C2×C22⋊C8C2314yes—
165C2×C22⋊C8C2314yes—
166C2×C4×C8C2312yes—
167#398—22no—
168#397—22no—
169#396—22no—
170#396—22no—
171#394—22no—
172#394—22no—
173#394—22no—
174#392—22no—
175#390C2312yes—
176#390C2312yes—
177#389—22no—
178#389—24no—
179#389—24no—
180#389—22no—
181#389C2312yes—
182#389C2312yes—
183#388—22no—
184#388—22no—
185#386—22no—
186#386—22no—
187#385—24no—
188#385—24no—
189#385—24no—
190#384—21no—
191#384—22no—
192#384—21no—
193#384—22no—
194#384C2312yes—
195#384C2312yes—
196#384C2311yescharacteristic
197#384C2311yescharacteristic
198#384C2314yes—
199#384C2311yescharacteristic
200#384C2311yescharacteristic
201#382—21no—
202#382—22no—
203#382—21no—
204#381—22no—
205#380—21no—
206#380—22no—
207#380—21no—
208#380—21no—
209#380—21no—
210#380—21no—
211#380—21no—
212#380C2312yes—
213#380C2312yes—
214#380C2312yes—
215#380C2314yes—
216#380C2312yes—
217#379—22no—
218C4×C4⋊C4—21no—
219C4×C4⋊C4—22no—
220C4×C4⋊C4—21no—
221C4×C4⋊C4C2314yes—
222C4×C4⋊C4C2312yes—
223C4×C4⋊C4C2312yes—
224C4×C22⋊C4—22no—
225C4×C22⋊C4—22no—
226#340C2314yes—
227#340C2314yes—
228#340C2312yes—
229#340C2312yes—
230#340C2312yes—
231#340C2312yes—
232#340C2314yes—
233#340C2314yes—
234#340C2314yes—
235#340C2314yes—
236#336C2314yes—
237#336C2314yes—
238C25—21no—
239C2×#41—24no—
240C2×#41—24no—
241C2×#41SD1618yes—
242C22×Q8C2×D411yescharacteristic
243C22×D4—22no—
244C22×D4—22no—
245C22×D4—22no—
246C22×D4—22no—
247C22×D4—21no—
248C22×D4—22no—
249C22×D4—22no—
250C22×D4—41no—
251C22×D4—41no—
252C22×D4C2×D412yes—
253C22×D4C2×D411yescharacteristic
254C22×D4C2411yescharacteristic
255C22×D4C2411yescharacteristic
256C23×C4—21no—
257C23×C4—24no—
258C23×C4—22no—
259C23×C4—21no—
260C23×C4—21no—
261C23×C4—21no—
262C23×C4—21no—
263C23×C4—44no—
264C23×C4—44no—
265C23×C4—44no—
266C23×C4C2×D412yes—
267C23×C4C2×D412yes—
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2412yes—
271C23×C4C2411yescharacteristic
272C22×C8—24no—
273C22×C8—42no—
274C22×C8—42no—
275C22×C8C2414yes—
276C22×C8C2412yes—
277C22×C8C2412yes—
278#123—48no—
279C22⋊Q8—44no—
280C22⋊Q8—44no—
281#121—24no—
282#121—24no—
283#121—42no—
284#121—42no—
285#121—44no—
286#121—44no—
287#120—48no—
288C4×Q8—24no—
289C4×Q8—22no—
290C4×Q8—22no—
291C4×Q8—48no—
292C4×D4—28no—
293C4×D4—24no—
294C4×D4—24no—
295C4×D4—24no—
296C4×D4—22no—
297C4×D4—22no—
298C4×D4—22no—
299C4×D4—22no—
300C4×D4—22no—
301C4×D4—22no—
302C4×D4—22no—
303C4×D4—22no—
304C4×D4—22no—
305C4×D4—22no—
306C4×D4—416no—
307C4×D4—48no—
308C4×D4—48no—
309C4×D4—48no—
310C4×D4—44no—
311C4×D4—44no—
312#117—24no—
313#117—28no—
314#117—48no—
315#117—44no—
316#117—44no—
317C2×C4⋊C4—22no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—21no—
323C2×C4⋊C4—24no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—24no—
333C2×C4⋊C4—22no—
334C2×C4⋊C4—24no—
335C2×C4⋊C4—22no—
336C2×C4⋊C4—21no—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—44no—
339C2×C4⋊C4—42no—
340C2×C4⋊C4—42no—
341C2×C4⋊C4—44no—
342C2×C4⋊C4—48no—
343C2×C4⋊C4—44no—
344C2×C4⋊C4—82no—
345C2×C4⋊C4—84no—
346C2×C4⋊C4C2×D411yescharacteristic
347C2×C4⋊C4C2×D412yes—
348C2×C4⋊C4C2×D411yescharacteristic
349C2×C4⋊C4C2×D412yes—
350C2×C4⋊C4C2414yes—
351C2×C4⋊C4C2412yes—
352C2×C4⋊C4C2411yescharacteristic
353C2×C4⋊C4C2411yescharacteristic
354C2×C4⋊C4C2412yes—
355C2×C4⋊C4C2412yes—
356C2×C4⋊C4C2412yes—
357C2×C22⋊C4—24no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—21no—
363C2×C22⋊C4—21no—
364C2×C22⋊C4—21no—
365C2×C22⋊C4—21no—
366C2×C22⋊C4—22no—
367C2×C22⋊C4—22no—
368C2×C22⋊C4—22no—
369C2×C22⋊C4—22no—
370C2×C22⋊C4—22no—
371C2×C22⋊C4—22no—
372C2×C22⋊C4—44no—
373C2×C22⋊C4C2×D412yes—
374C2×C22⋊C4C2×D412yes—
375C2×C22⋊C4C2×D412yes—
376C2×C42—24no—
377C2×C42—24no—
378C2×C42—22no—
379C2×C42—24no—
380C2×C42—22no—
381C2×C42C2×D412yes—
382C2×C42C2×D412yes—
383C2×C42C2×D411yescharacteristic
384C2×C42C2×D411yescharacteristic
385C2×C42#4114yes—
386C2×C42#4114yes—
387C2×C42C2412yes—
388C2×C42C2411yescharacteristic
389C2×C42C2411yescharacteristic
390#106—44no—
391#106—44no—
392#106—44no—
393#106—44no—
394C4⋊C8—24no—
395C4⋊C8—24no—
396C4⋊C8—22no—
397C4⋊C8—22no—
398#102—28no—
399#102—24no—
400#102—24no—
401#102—44no—
402#102—42no—
403#102—42no—
404C22⋊C8—24no—
405C22⋊C8—44no—
406C22⋊C8—44no—
407C4×C8—24no—
408#95—22no—
409#95—22no—
410#95—22no—
411#95—22no—
412#95—24no—
413#95—22no—
414#95—22no—
415#95—24no—
416#95—22no—
417#95—22no—
418C24—21no—
419C24—21no—
420C24—42no—
421C24—42no—
422C24—42no—
423C24—42no—
424C24—42no—
425C24—81no—
426C24—81no—
427C24C22×D412yes—
428C24C22×D411yescharacteristic
429#41—232no—
430C2×Q8—22no—
431C2×Q8—22no—
432C2×Q8C2×SD1614yes—
433C2×D4—24no—
434C2×D4—24no—
435C2×D4—28no—
436C2×D4—22no—
437C2×D4—22no—
438C2×D4—21no—
439C2×D4—21no—
440C2×D4—21no—
441C2×D4—21no—
442C2×D4—21no—
443C2×D4—21no—
444C2×D4—21no—
445C2×D4—21no—
446C2×D4—21no—
447C2×D4—21no—
448C2×D4—44no—
449C2×D4—44no—
450C2×D4—42no—
451C2×D4—42no—
452C2×D4—44no—
453C2×D4—44no—
454C2×D4—44no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—42no—
458C2×D4—82no—
459C2×D4—82no—
460C2×D4C2×SD1618yes—
461C2×D4C2×SD1614yes—
462C2×D4H(5,𝔽2)12yes—
463C2×D42−1+412yes—
464C22×C4—24no—
465C22×C4—24no—
466C22×C4—21no—
467C22×C4—21no—
468C22×C4—21no—
469C22×C4—21no—
470C22×C4—24no—
471C22×C4—22no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—21no—
481C22×C4—21no—
482C22×C4—24no—
483C22×C4—22no—
484C22×C4—41no—
485C22×C4—42no—
486C22×C4—41no—
487C22×C4—42no—
488C22×C4—42no—
489C22×C4—42no—
490C22×C4—42no—
491C22×C4—48no—
492C22×C4—44no—
493C22×C4—42no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—42no—
498C22×C4—42no—
499C22×C4—42no—
500C22×C4—42no—
501C22×C4—42no—
502C22×C4—42no—
503C22×C4—42no—
504C22×C4—42no—
505C22×C4—82no—
506C22×C4—84no—
507C22×C4—82no—
508C22×C4—84no—
509C22×C4—816no—
510C22×C4#12314yes—
511C22×C4#12314yes—
512C22×C4C2×SD1618yes—
513C22×C4C2×SD1614yes—
514C22×C4AGL(1,ℤ/8)14yes—
515C22×C4C22×D412yes—
516C22×C4C22×D412yes—
517C22×C4C22×D411yescharacteristic
518C22×C4C22×D411yescharacteristic
519C22×C4C22×D411yescharacteristic
520C22×C4C22×D412yes—
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C2×#4112yes—
524C22×C4C2×#4112yes—
525C22×C4C2511yescharacteristic
526C2×C8—22no—
527C2×C8—22no—
528C2×C8—24no—
529C2×C8—22no—
530C2×C8—24no—
531C2×C8—22no—
532C2×C8—22no—
533C2×C8—24no—
534C2×C8—22no—
535C2×C8—84no—
536C4⋊C4—24no—
537C4⋊C4—24no—
538C4⋊C4—22no—
539C4⋊C4—22no—
540C4⋊C4—21no—
541C4⋊C4—21no—
542C4⋊C4—21no—
543C4⋊C4—21no—
544C4⋊C4—24no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—22no—
550C4⋊C4—22no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—24no—
554C4⋊C4—42no—
555C4⋊C4—48no—
556C4⋊C4—44no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—44no—
562C4⋊C4—44no—
563C4⋊C4—42no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—42no—
567C4⋊C4—81no—
568C4⋊C4—81no—
569C4⋊C4—82no—
570C4⋊C4—84no—
571C4⋊C4—82no—
572C4⋊C4—84no—
573C22⋊C4—24no—
574C22⋊C4—24no—
575C22⋊C4—24no—
576C22⋊C4—44no—
577C22⋊C4—44no—
578C22⋊C4—48no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—42no—
584C22⋊C4—42no—
585C22⋊C4—42no—
586C22⋊C4—42no—
587C22⋊C4—44no—
588C22⋊C4—44no—
589C22⋊C4—82no—
590C22⋊C4—82no—
591C42—24no—
592C42—24no—
593C42—22no—
594C42—22no—
595C42—48no—
596C42—44no—
597C42—44no—
598C42#12314yes—
599C42#12314yes—
600C42C2×#4112yes—
601C42C2×#4112yes—
602C42C2×#4112yes—
603C42C2×#4112yes—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—21no—
608C23—22no—
609C23—22no—
610C23—22no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—48no—
617C23—41no—
618C23—41no—
619C23—41no—
620C23—41no—
621C23—41no—
622C23—41no—
623C23—41no—
624C23—41no—
625C23—41no—
626C23—41no—
627C23—41no—
628C23—41no—
629C23—84no—
630C23—84no—
631C23—84no—
632C23—84no—
633C23—84no—
634C23—84no—
635C23C2×#12312yes—
636C23C22×SD1614yes—
637C23C22×SD1612yes—
638C23C2×AGL(1,ℤ/8)12yes—
639C23C23×D411yescharacteristic
640Q8—28no—
641D4—216no—
642D4—28no—
643D4—22no—
644D4—22no—
645D4—22no—
646D4—22no—
647D4—48no—
648D4—41no—
649D4—41no—
650D4—41no—
651D4—41no—
652D4—88no—
653D4—88no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—22no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—22no—
662C2×C4—216no—
663C2×C4—22no—
664C2×C4—22no—
665C2×C4—22no—
666C2×C4—22no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—44no—
674C2×C4—48no—
675C2×C4—42no—
676C2×C4—42no—
677C2×C4—42no—
678C2×C4—42no—
679C2×C4—42no—
680C2×C4—44no—
681C2×C4—42no—
682C2×C4—42no—
683C2×C4—42no—
684C2×C4—41no—
685C2×C4—41no—
686C2×C4—42no—
687C2×C4—44no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—42no—
696C2×C4—44no—
697C2×C4—42no—
698C2×C4—41no—
699C2×C4—41no—
700C2×C4—84no—
701C2×C4—84no—
702C2×C4—84no—
703C2×C4—84no—
704C2×C4—84no—
705C2×C4—164no—
706C2×C4—168no—
707C2×C4#481116yescomplemented
708C2×C4C2×#12312yes—
709C2×C4C2×#12312yes—
710C2×C4C2×#12312yes—
711C2×C4C2×#12312yes—
712C2×C4C2×#12312yes—
713C2×C4C22×SD1614yes—
714C2×C4C22×SD1612yes—
715C2×C4C22×SD1612yes—
716C2×C4C2×AGL(1,ℤ/8)12yes—
717C2×C4C2×AGL(1,ℤ/8)12yes—
718C2×C4C22×#4111yescharacteristic
719C2×C4C22×#4111yescharacteristic
720C2×C4C2×H(5,𝔽2)11yescharacteristic
721C2×C4C2×2−1+411yescharacteristic
722C2×C4#58511yescharacteristic
723C2×C4#58511yescharacteristic
724C8—42no—
725C8—42no—
726C8—44no—
727C22—22no—
728C22—22no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—22no—
733C22—24no—
734C22—24no—
735C22—24no—
736C22—42no—
737C22—42no—
738C22—42no—
739C22—42no—
740C22—42no—
741C22—42no—
742C22—42no—
743C22—42no—
744C22—42no—
745C22—42no—
746C22—816no—
747C22—81no—
748C22—81no—
749C22—81no—
750C22—81no—
751C22—81no—
752C22—81no—
753C22—81no—
754C22—81no—
755C22C2×#48114yes—
756C22C22×#12311yescharacteristic
757C22#348811yescharacteristic
758C22#348911yescharacteristic
759C22C23×SD1611yescharacteristic
760C22C22×AGL(1,ℤ/8)11yescharacteristic
761C22#358511yescharacteristic
762C22#358611yescharacteristic
763C4—24no—
764C4—22no—
765C4—22no—
766C4—22no—
767C4—42no—
768C4—42no—
769C4—84no—
770C4—82no—
771C4—81no—
772C4—81no—
773C4—82no—
774C4—82no—
775C4—82no—
776C4C2×#48114yes—
777C4C2×#48114yes—
778C4#349211yescharacteristic
779C4#349311yescharacteristic
780C4#349411yescharacteristic
781C4#349511yescharacteristic
782C2—24no—
783C2—44no—
784C2—82no—
785C2—82no—
786C2#3551611yescharacteristic
787C2C22×#48111yescharacteristic
788C2#6051711yescharacteristic
789C2#6194811yescharacteristic
790C2#6195911yescharacteristic
791C2#6209611yescharacteristic
792C2#6210711yescharacteristic
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. #34183C2semidirect
3. #27678C2semidirect
4. #27645C2semidirect
5. #27625C2semidirect
6. #27625C2semidirect
7. #25058C2semidirect
8. #25012C2semidirect
9. #24992C2semidirect
10. #24967C2semidirect
11. #24937C2semidirect
12. #24865C2semidirect
13. #21981C2semidirect
14. #21959C2semidirect
15. #21847C2semidirect
16. #20732C2semidirect
17. C2×#1802C2semidirect
37. Q8×C4⋊C4C22semidirect
41. D4×C4⋊C4C22semidirect
48. #2285C22semidirect
50. C2×#384C22semidirect
52. #2100C22semidirect
54. #2084C22semidirect
55. #2077C22semidirect
56. #2077C22semidirect
60. #1984C22semidirect
61. #1954C22semidirect
62. #1948C22semidirect
63. #1948C22semidirect
64. #1948C22semidirect
65. #1948C22semidirect
66. #1948C22semidirect
67. #1948C22semidirect
70. #1919C22semidirect
71. #1919C22semidirect
75. #1853C22semidirect
76. #1844C22semidirect
77. #1834C22semidirect
78. #1824C22semidirect
89. #1797C22semidirect
90. #1797C22semidirect
707. C2×C4#481semidirect

Maximal subgroups

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

subgroupindex
#349352
#341832
#276782
#276452
#276252
#250582
#250122
#249922
#249672
#249372
#248652
#219812
#219592
#218472
#207322
C2×#18022