Finite Group Databasebeta

← #6500794

Subgroups — #6500794

Order 512.

2206 conjugacy classes of subgroups.

The subgroup lattice has 802 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2416C211yesmaximal, characteristic
2#34185C211yesmaximal, characteristic, complemented
3#27616C212yesmaximal, complemented
4#27602C212yesmaximal, complemented
5#27588C212yesmaximal, complemented
6#26212C214yesmaximal, complemented
7#26208C214yesmaximal, complemented
8#26140C214yesmaximal, complemented
9#26136C214yesmaximal, complemented
10#24009C212yesmaximal, complemented
11#21758C211yesmaximal, characteristic, complemented
12#21758C211yesmaximal, characteristic, complemented
13#21738C211yesmaximal, characteristic, complemented
14C2×#1853C211yesmaximal, characteristic, complemented
15C2×#1852C211yesmaximal, characteristic, complemented
16C22×#121—21no—
17C22×#121C2211yescharacteristic
18C22×#121C2211yescharacteristic
19C22×C4×D4C2211yescharacteristic
20C23×C4⋊C4C2211yescharacteristic
21C2×#482C2214yescomplemented
22C22×#107C2212yescomplemented
23C22×#106C2212yescomplemented
24C22×C22⋊C8C2211yescharacteristic
25C22×C22⋊C8C2211yescharacteristic
26#2416—22no—
27#2416—22no—
28#2416C2214yes—
29#2416C2214yes—
30C2×#396—21no—
31C2×#394—21no—
32#2353—22no—
33#2353—22no—
34#2352C2212yescomplemented
35#2352C2212yescomplemented
36#2352C2212yescomplemented
37#2352C2212yescomplemented
38#2313—21no—
39#2312—21no—
40#2308—21no—
41C2×#390C2211yescharacteristic
42C2×#389C2211yescharacteristic
43C2×#386—21no—
44#2283C2212yes—
45#2280C2212yes—
46C2×#380C2211yescharacteristic
47C2×#380C2211yescharacteristic
48C2×#380C2211yescharacteristic
49#2273—21no—
50#2101C2214yescomplemented
51#2092C2214yescomplemented
52#2085C2214yescomplemented
53#2077C2214yescomplemented
54#2076C2214yescomplemented
55#2073C2214yescomplemented
56#2034C2214yescomplemented
57#2033C2214yescomplemented
58#1926C2214yescomplemented
59#1925C2214yescomplemented
60#1921C2214yescomplemented
61#1920C2214yescomplemented
62#1893C2214yescomplemented
63#1893C2214yescomplemented
64#1875C2214yescomplemented
65#1874C2212yescomplemented
66#1874C2212yescomplemented
67#1874C2212yescomplemented
68#1874C2212yescomplemented
69#1869C2214yescomplemented
70#1869C2214yescomplemented
71#1854C2214yescomplemented
72#1853C2212yes—
73#1853C2212yes—
74#1853C2214yescomplemented
75#1852C2212yes—
76#1852C2212yes—
77#1852C2214yescomplemented
78#1825C2214yescomplemented
79#1823C2212yes—
80#1823C2212yes—
81#1817C2212yes—
82#1786C2212yes—
83#1786C2212yes—
84#1779C2212yes—
85C2×#340C2212yescomplemented
86C2×#340C2212yescomplemented
87C23×D4—21no—
88C23×D4—21no—
89C23×D4D411yescharacteristic
90C23×D4C2311yescharacteristic
91C24×C4—21no—
92C24×C4C2311yescharacteristic
93C24×C4C2311yescharacteristic
94C23×C8C2312yes—
95C23×C8C2312yes—
96C2×#121—24no—
97C2×#121—24no—
98C2×#121—22no—
99C2×#121—21no—
100C2×#121—21no—
101C2×#121—24no—
102C2×#121—24no—
103C2×#121—44no—
104C2×#121—48no—
105C2×#121C2312yes—
106C2×#121C2312yes—
107C2×#121C2314yes—
108C2×C4×D4—24no—
109C2×C4×D4—24no—
110C2×C4×D4D412yes—
111C2×C4×D4D412yes—
112C2×C4×D4C2312yes—
113C2×C4×D4C2312yes—
114C2×#117C2312yes—
115C2×#117C2312yes—
116C22×C4⋊C4—21no—
117C22×C4⋊C4—21no—
118C22×C4⋊C4—21no—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—44no—
121C22×C4⋊C4D411yescharacteristic
122C22×C4⋊C4C2311yescharacteristic
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2312yes—
125C22×C4⋊C4C2312yes—
126C22×C4⋊C4C2311yescharacteristic
127C22×C4⋊C4C2311yescharacteristic
128C22×C4⋊C4C2311yescharacteristic
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2311yescharacteristic
131C22×C22⋊C4—21no—
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C22⋊C4—21no—
137C22×C22⋊C4—21no—
138C22×C22⋊C4D411yescharacteristic
139C22×C22⋊C4D411yescharacteristic
140C22×C42C2311yescharacteristic
141#482—48no—
142C2×#107—44no—
143C2×#107C2314yes—
144C2×#107C2314yes—
145C2×#106—44no—
146C2×#106C2314yes—
147C2×#106C2314yes—
148C2×#102C2314yes—
149C2×#102C2314yes—
150C2×#102C2314yes—
151C2×#102C2314yes—
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#396—24no—
161#396—24no—
162#394—24no—
163#394—24no—
164#390—22no—
165#390C2314yes—
166#389—22no—
167#389C2314yes—
168#388—22no—
169#388—22no—
170#388—22no—
171#388—22no—
172#387—22no—
173#387—22no—
174#387—22no—
175#387—22no—
176#386—22no—
177#386—22no—
178#386—22no—
179#386—22no—
180#386—24no—
181#386—24no—
182#383—22no—
183#382C2312yes—
184#382C2312yes—
185#381—22no—
186#381—22no—
187#380—21no—
188#380—21no—
189#380—21no—
190#380—21no—
191#380—22no—
192#380C2312yes—
193#380C2314yes—
194#380C2312yes—
195#380C2312yes—
196#380C2312yes—
197#380C2312yes—
198#380C2312yes—
199#379—22no—
200C4×C4⋊C4C2312yes—
201C4×C4⋊C4C2312yes—
202C4×C22⋊C4—22no—
203C4×C22⋊C4—22no—
204C4×C22⋊C4—22no—
205C4×C22⋊C4—22no—
206C4×C22⋊C4—22no—
207C4×C22⋊C4—22no—
208C4×C22⋊C4—22no—
209#376—22no—
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—
224C25—21no—
225C25C2×D411yescharacteristic
226C25C2×D411yescharacteristic
227C22×D4—24no—
228C22×D4—24no—
229C22×D4—24no—
230C22×D4—22no—
231C22×D4—22no—
232C22×D4—24no—
233C22×D4—21no—
234C22×D4—22no—
235C22×D4—22no—
236C22×D4—42no—
237C22×D4—42no—
238C22×D4—44no—
239C22×D4—44no—
240C22×D4—44no—
241C22×D4—44no—
242C22×D4—44no—
243C22×D4—82no—
244C22×D4C2×D412yes—
245C22×D4C2×D412yes—
246C22×D4C2412yes—
247C23×C4—21no—
248C23×C4—22no—
249C23×C4—22no—
250C23×C4—21no—
251C23×C4—21no—
252C23×C4—22no—
253C23×C4—22no—
254C23×C4—21no—
255C23×C4—21no—
256C23×C4—21no—
257C23×C4—21no—
258C23×C4—42no—
259C23×C4—42no—
260C23×C4—42no—
261C23×C4—42no—
262C23×C4—44no—
263C23×C4—44no—
264C23×C4—82no—
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D412yes—
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D411yescharacteristic
272C23×C4#4114yes—
273C23×C4#4114yes—
274C23×C4C2412yes—
275C23×C4C2411yescharacteristic
276C23×C4C2411yescharacteristic
277C23×C4C2411yescharacteristic
278C22×C8—24no—
279C22×C8—24no—
280C22×C8—42no—
281C22×C8—42no—
282C22×C8—42no—
283C22×C8—42no—
284C22×C8C2414yes—
285C22×C8C2414yes—
286#121—24no—
287#121—24no—
288#121—24no—
289#121—24no—
290#121—28no—
291#121—44no—
292#121—48no—
293#121—416no—
294#121—416no—
295#121—44no—
296#121—44no—
297C4×D4—28no—
298C4×D4—28no—
299C4×D4—24no—
300C4×D4—24no—
301C4×D4—24no—
302C4×D4—24no—
303#117—44no—
304#117—44no—
305C2×C4⋊C4—24no—
306C2×C4⋊C4—21no—
307C2×C4⋊C4—24no—
308C2×C4⋊C4—22no—
309C2×C4⋊C4—22no—
310C2×C4⋊C4—24no—
311C2×C4⋊C4—24no—
312C2×C4⋊C4—21no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—24no—
316C2×C4⋊C4—21no—
317C2×C4⋊C4—21no—
318C2×C4⋊C4—21no—
319C2×C4⋊C4—21no—
320C2×C4⋊C4—21no—
321C2×C4⋊C4—42no—
322C2×C4⋊C4—42no—
323C2×C4⋊C4—42no—
324C2×C4⋊C4—42no—
325C2×C4⋊C4—42no—
326C2×C4⋊C4—42no—
327C2×C4⋊C4—42no—
328C2×C4⋊C4—44no—
329C2×C4⋊C4—44no—
330C2×C4⋊C4—44no—
331C2×C4⋊C4—44no—
332C2×C4⋊C4C2×D412yes—
333C2×C4⋊C4C2×D412yes—
334C2×C4⋊C4C2412yes—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C4⋊C4C2412yes—
340C2×C4⋊C4C2412yes—
341C2×C22⋊C4—24no—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—22no—
345C2×C22⋊C4—22no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—22no—
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—24no—
357C2×C22⋊C4—44no—
358C2×C22⋊C4—44no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4—44no—
362C2×C22⋊C4—44no—
363C2×C22⋊C4—82no—
364C2×C22⋊C4C2×D412yes—
365C2×C22⋊C4C2×D412yes—
366C2×C22⋊C4C2×D412yes—
367C2×C22⋊C4C2×D412yes—
368C2×C42—22no—
369C2×C42—22no—
370C2×C42—22no—
371C2×C42—22no—
372C2×C42—22no—
373C2×C42—22no—
374C2×C42C2×D412yes—
375C2×C42C2412yes—
376#107—28no—
377#107—44no—
378#106—28no—
379#106—44no—
380#102—44no—
381#102—44no—
382#102—44no—
383#102—44no—
384C22⋊C8—24no—
385C22⋊C8—24no—
386C22⋊C8—24no—
387C22⋊C8—24no—
388C22⋊C8—44no—
389C22⋊C8—44no—
390#95—22no—
391#95—22no—
392#95—24no—
393#95—22no—
394#95—22no—
395#95—24no—
396#95—22no—
397#95—22no—
398#95—22no—
399#95—22no—
400#95—22no—
401#95—22no—
402#95—22no—
403#95—22no—
404C24—22no—
405C24—22no—
406C24—22no—
407C24—22no—
408C24—41no—
409C24—41no—
410C24—41no—
411C24—41no—
412C24—41no—
413C24—41no—
414C24—41no—
415C24—41no—
416C24—42no—
417C24—42no—
418C24—42no—
419C24—42no—
420C24—42no—
421C24—42no—
422C24—42no—
423C24#12314yes—
424C24#13514yes—
425C24AGL(1,ℤ/8)14yes—
426C24C22×D412yes—
427C24C22×D411yescharacteristic
428C24C22×D411yescharacteristic
429C24C22×D411yescharacteristic
430C2×D4—24no—
431C2×D4—24no—
432C2×D4—24no—
433C2×D4—24no—
434C2×D4—24no—
435C2×D4—24no—
436C2×D4—22no—
437C2×D4—22no—
438C2×D4—24no—
439C2×D4—24no—
440C2×D4—48no—
441C2×D4—42no—
442C2×D4—42no—
443C2×D4—416no—
444C2×D4—48no—
445C2×D4—44no—
446C2×D4—44no—
447C2×D4—44no—
448C2×D4—44no—
449C2×D4—44no—
450C2×D4—44no—
451C2×D4—42no—
452C2×D4—84no—
453C2×D4—84no—
454C2×D4—84no—
455C2×D4—816no—
456C2×D4—816no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—24no—
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—24no—
473C22×C4—24no—
474C22×C4—24no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
481C22×C4—48no—
482C22×C4—48no—
483C22×C4—41no—
484C22×C4—41no—
485C22×C4—41no—
486C22×C4—41no—
487C22×C4—41no—
488C22×C4—41no—
489C22×C4—41no—
490C22×C4—41no—
491C22×C4—42no—
492C22×C4—42no—
493C22×C4—41no—
494C22×C4—41no—
495C22×C4—44no—
496C22×C4—44no—
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—44no—
506C22×C4—44no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—84no—
512C22×C4—84no—
513C22×C4—82no—
514C22×C4—82no—
515C22×C4—81no—
516C22×C4—81no—
517C22×C4—81no—
518C22×C4—81no—
519C22×C4—81no—
520C22×C4—81no—
521C22×C4—81no—
522C22×C4—81no—
523C22×C4—816no—
524C22×C4#12314yes—
525C22×C4#12314yes—
526C22×C4#12314yes—
527C22×C4C22×D412yes—
528C22×C4C22×D412yes—
529C22×C4C22×D412yes—
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C2×#4112yes—
534C22×C4C2×#4112yes—
535C22×C4C2×#4112yes—
536C22×C4C2×#4112yes—
537C22×C4C2×#4112yes—
538C22×C4C2×#4112yes—
539C22×C4C2511yescharacteristic
540C2×C8—24no—
541C2×C8—24no—
542C2×C8—24no—
543C2×C8—24no—
544C2×C8—24no—
545C2×C8—24no—
546C2×C8—48no—
547C2×C8—48no—
548C4⋊C4—24no—
549C4⋊C4—24no—
550C4⋊C4—24no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—22no—
554C4⋊C4—24no—
555C4⋊C4—24no—
556C4⋊C4—22no—
557C4⋊C4—22no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—44no—
561C4⋊C4—44no—
562C4⋊C4—42no—
563C4⋊C4—48no—
564C4⋊C4—42no—
565C4⋊C4—81no—
566C4⋊C4—81no—
567C4⋊C4—81no—
568C4⋊C4—81no—
569C4⋊C4H(5,𝔽2)14yes—
570C22⋊C4—24no—
571C22⋊C4—24no—
572C22⋊C4—24no—
573C22⋊C4—24no—
574C22⋊C4—48no—
575C22⋊C4—48no—
576C22⋊C4—48no—
577C22⋊C4—44no—
578C22⋊C4—44no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—84no—
584C22⋊C4—82no—
585C22⋊C4—82no—
586C22⋊C4—82no—
587C22⋊C4—82no—
588C42—24no—
589C42—22no—
590C42—22no—
591C42—82no—
592C42—82no—
593C42—82no—
594C42—82no—
595C23—21no—
596C23—21no—
597C23—21no—
598C23—21no—
599C23—21no—
600C23—21no—
601C23—21no—
602C23—21no—
603C23—21no—
604C23—21no—
605C23—21no—
606C23—21no—
607C23—22no—
608C23—22no—
609C23—22no—
610C23—22no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—44no—
615C23—44no—
616C23—44no—
617C23—44no—
618C23—44no—
619C23—44no—
620C23—44no—
621C23—44no—
622C23—44no—
623C23—42no—
624C23—42no—
625C23—42no—
626C23—42no—
627C23—42no—
628C23—42no—
629C23—42no—
630C23—82no—
631C23—82no—
632C23—82no—
633C23—82no—
634C23—84no—
635C23—84no—
636C23—84no—
637C23—84no—
638C23—84no—
639C23—84no—
640C23—84no—
641C23#482116yescomplemented
642C23C2×#12312yes—
643C23C2×#12312yes—
644C23C2×#12312yes—
645C23C2×#13512yes—
646C23C2×#13512yes—
647C23C2×#13512yes—
648C23C2×AGL(1,ℤ/8)12yes—
649C23C2×AGL(1,ℤ/8)12yes—
650C23C2×AGL(1,ℤ/8)12yes—
651C23C23×D411yescharacteristic
652D4—48no—
653D4—48no—
654D4—44no—
655D4—44no—
656D4—84no—
657D4—816no—
658D4—88no—
659D4—88no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—24no—
667C2×C4—24no—
668C2×C4—24no—
669C2×C4—24no—
670C2×C4—24no—
671C2×C4—24no—
672C2×C4—22no—
673C2×C4—22no—
674C2×C4—22no—
675C2×C4—22no—
676C2×C4—22no—
677C2×C4—22no—
678C2×C4—24no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—48no—
686C2×C4—42no—
687C2×C4—44no—
688C2×C4—42no—
689C2×C4—44no—
690C2×C4—44no—
691C2×C4—42no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—42no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—84no—
710C2×C4—82no—
711C2×C4—82no—
712C2×C4—88no—
713C2×C4—88no—
714C2×C4—84no—
715C2×C4—84no—
716C2×C4—162no—
717C2×C4—162no—
718C2×C4—162no—
719C2×C4—162no—
720C2×C4C2×#12312yes—
721C2×C4C2×#12312yes—
722C2×C4C2×#12312yes—
723C2×C4C22×#4111yescharacteristic
724C2×C4C22×#4111yescharacteristic
725C2×C4C2×H(5,𝔽2)12yes—
726C2×C4#58512yes—
727C8—44no—
728C8—44no—
729C22—22no—
730C22—22no—
731C22—22no—
732C22—22no—
733C22—22no—
734C22—22no—
735C22—22no—
736C22—22no—
737C22—22no—
738C22—22no—
739C22—22no—
740C22—22no—
741C22—22no—
742C22—22no—
743C22—22no—
744C22—22no—
745C22—22no—
746C22—22no—
747C22—416no—
748C22—42no—
749C22—42no—
750C22—42no—
751C22—42no—
752C22—42no—
753C22—42no—
754C22—42no—
755C22—88no—
756C22—82no—
757C22—82no—
758C22—82no—
759C22—82no—
760C22—82no—
761C22—82no—
762C22—82no—
763C22—168no—
764C22C2×#48214yes—
765C22C2×#48214yes—
766C22C2×#48214yes—
767C22C22×#12311yescharacteristic
768C22#348411yescharacteristic
769C22#348511yescharacteristic
770C22C22×#13511yescharacteristic
771C22C22×AGL(1,ℤ/8)11yescharacteristic
772C22#358511yescharacteristic
773C22#358611yescharacteristic
774C4—22no—
775C4—22no—
776C4—22no—
777C4—42no—
778C4—42no—
779C4—42no—
780C4—44no—
781C4—82no—
782C4—82no—
783C4—82no—
784C4—82no—
785C4—82no—
786C4—82no—
787C4#350512yes—
788C4#350512yes—
789C2—24no—
790C2—24no—
791C2—24no—
792C2—82no—
793C2—162no—
794C2#3535111yescharacteristic
795C2C22×#48211yescharacteristic
796C2#6052011yescharacteristic
797C2#6156411yescharacteristic
798C2#6157111yescharacteristic
799C2#6169911yescharacteristic
800C2#6170611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC2×#2416C2
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. #34185C2semidirect
3. #27616C2semidirect
4. #27602C2semidirect
5. #27588C2semidirect
6. #26212C2semidirect
7. #26208C2semidirect
8. #26140C2semidirect
9. #26136C2semidirect
10. #24009C2semidirect
11. #21758C2semidirect
12. #21758C2semidirect
13. #21738C2semidirect
14. C2×#1853C2semidirect
15. C2×#1852C2semidirect
21. C2×#482C22semidirect
22. C22×#107C22semidirect
23. C22×#106C22semidirect
34. #2352C22semidirect
35. #2352C22semidirect
36. #2352C22semidirect
37. #2352C22semidirect
50. #2101C22semidirect
51. #2092C22semidirect
52. #2085C22semidirect
53. #2077C22semidirect
54. #2076C22semidirect
55. #2073C22semidirect
56. #2034C22semidirect
57. #2033C22semidirect
58. #1926C22semidirect
59. #1925C22semidirect
60. #1921C22semidirect
61. #1920C22semidirect
62. #1893C22semidirect
63. #1893C22semidirect
64. #1875C22semidirect
65. #1874C22semidirect
66. #1874C22semidirect
67. #1874C22semidirect
68. #1874C22semidirect
69. #1869C22semidirect
70. #1869C22semidirect
71. #1854C22semidirect
74. #1853C22semidirect
77. #1852C22semidirect
78. #1825C22semidirect
85. C2×#340C22semidirect
86. C2×#340C22semidirect
641. C23#482semidirect

Maximal subgroups

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

subgroupindex
C2×#24162
#341852
#276162
#276022
#275882
#262122
#262082
#261402
#261362
#240092
#217582
#217382
C2×#18532
C2×#18522