Finite Group Databasebeta

← #6435186

Subgroups — #6435186

Order 512.

1756 conjugacy classes of subgroups.

The subgroup lattice has 793 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36645C211yesmaximal, characteristic, complemented
2#34026C211yesmaximal, characteristic
3#29989C212yesmaximal, complemented
4#29988C212yesmaximal, complemented
5#29987C212yesmaximal, complemented
6#29986C212yesmaximal, complemented
7#29985C212yesmaximal, complemented
8#29984C211yesmaximal, characteristic, complemented
9#29983C211yesmaximal, characteristic, complemented
10#29982C212yesmaximal, complemented
11#29981C211yesmaximal, characteristic, complemented
12#29980C211yesmaximal, characteristic, complemented
13#23744C212yesmaximal, complemented
14#23730C212yesmaximal
15#23551C212yesmaximal, complemented
16#23451C212yesmaximal
17#21169C212yesmaximal, complemented
18C2×#1831C211yesmaximal, characteristic, complemented
19#20645C212yesmaximal
20C2×#533C2212yes—
21C2×C4×#41C2211yescharacteristic
22C2×#427C2214yes—
23C22×C4⋊C8C2212yes—
24C2×#416C2214yes—
25#2868C2211yescharacteristic
26#2868C2211yescharacteristic
27#2862C2212yes—
28#2859C2212yes—
29#2859C2212yes—
30#2857—21no—
31#2857—21no—
32#2857—21no—
33#2857—21no—
34C4×C4⋊Q8—21no—
35C4×C4⋊Q8—21no—
36C4×C4⋊Q8—21no—
37C4×C4⋊Q8—21no—
38#2298—21no—
39#2298—21no—
40#2297C2211yescharacteristic
41#2297C2211yescharacteristic
42#2296C2211yescharacteristic
43#2296C2211yescharacteristic
44#2295C2211yescharacteristic
45#2295C2211yescharacteristic
46#2295C2211yescharacteristic
47#2295C2211yescharacteristic
48#2293C2211yescharacteristic
49#2293C2211yescharacteristic
50#2293C2211yescharacteristic
51#2293C2211yescharacteristic
52#2290—21no—
53#2290—21no—
54#2290—21no—
55#2290—21no—
56#2285C2212yes—
57#2285C2212yes—
58C4×#117—21no—
59C4×#117—21no—
60C4×#117C2211yescharacteristic
61C2×C43C2211yescharacteristic
62#2101C2214yes—
63#2101C2214yes—
64#2100C2212yes—
65#2100C2212yes—
66#2099C2212yes—
67#2099C2212yes—
68#2097C2214yes—
69#2096C2212yes—
70#2095C2212yes—
71#2094C2212yes—
72#2093C2212yes—
73#2092C2214yes—
74#2059C2214yes—
75#2059C2214yes—
76#2058C2212yes—
77#2058C2212yes—
78#2057C2212yes—
79#2057C2212yes—
80#2026C2214yes—
81#2025C2214yes—
82#2024C2212yes—
83#2024C2212yes—
84#2023C2212yes—
85#2023C2212yes—
86#1949C2214yes—
87#1949C2214yes—
88#1948C2212yes—
89#1948C2212yes—
90#1947C2212yes—
91#1947C2212yes—
92#1831C2211yescharacteristic
93#1831C2211yescharacteristic
94#1831C2212yes—
95#1831C2212yes—
96#1831C2212yes—
97#1805C2214yes—
98#1804C2214yes—
99#1803C2212yes—
100#1803C2212yes—
101#1802C2212yes—
102#1802C2212yes—
103#1735C2214yes—
104#1735C2214yes—
105C2×#336C2212yes—
106C2×#336C2212yes—
107C22×#41C2311yescharacteristic
108C23×C8C2314yes—
109#533—48no—
110C2×C4⋊Q8—21no—
111C2×C4⋊Q8—21no—
112C2×C4⋊Q8—21no—
113C2×C4⋊Q8—21no—
114C2×C4⋊Q8C2312yes—
115C2×C4⋊Q8C2312yes—
116C2×#125C2314yes—
117C2×C22⋊Q8—22no—
118C2×C22⋊Q8—22no—
119C4×#41—24no—
120C4×#41Q818yescomplemented
121C2×C4×Q8—22no—
122C2×C4×Q8—22no—
123C2×C4×Q8C2311yescharacteristic
124C2×C4×Q8C2311yescharacteristic
125C2×C4×D4—21no—
126C2×C4×D4—21no—
127C2×C4×D4C2311yescharacteristic
128C2×C4×D4C2311yescharacteristic
129C2×#117—21no—
130C2×#117—21no—
131C2×#117—21no—
132C2×#117—21no—
133C2×#117—21no—
134C2×#117C2314yes—
135C2×#117C2311yescharacteristic
136C2×#117C2311yescharacteristic
137C2×#117C2311yescharacteristic
138C22×C42—21no—
139C22×C42D411yescharacteristic
140C22×C42D411yescharacteristic
141C22×C42D411yescharacteristic
142C22×C42D411yescharacteristic
143C22×C42C2311yescharacteristic
144C22×C42C2311yescharacteristic
145C22×C42C2311yescharacteristic
146#427—48no—
147C2×#107C2314yes—
148C2×#107C2314yes—
149C2×#106C2314yes—
150C2×#106C2314yes—
151C2×C4⋊C8—28no—
152C2×C4⋊C8C2312yes—
153C2×C4⋊C8C2312yes—
154C2×C4⋊C8C2314yes—
155#416—48no—
156C2×#103C2314yes—
157C2×#103C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160#391—22no—
161#391—22no—
162#391—22no—
163#391—22no—
164#391C2311yescharacteristic
165#391C2311yescharacteristic
166#391C2311yescharacteristic
167#391C2311yescharacteristic
168#390C2311yescharacteristic
169#390C2311yescharacteristic
170#390C2311yescharacteristic
171#390C2311yescharacteristic
172#389—22no—
173#389—22no—
174#389—22no—
175#389—22no—
176#389—22no—
177#389—22no—
178#389—22no—
179#389—22no—
180#389C2311yescharacteristic
181#389C2311yescharacteristic
182#389C2311yescharacteristic
183#389C2311yescharacteristic
184#389C2311yescharacteristic
185#389C2311yescharacteristic
186#389C2311yescharacteristic
187#389C2311yescharacteristic
188#388—21no—
189#388—21no—
190#388—21no—
191#388—21no—
192#388—21no—
193#388—21no—
194#388—21no—
195#388—21no—
196#387—21no—
197#387—21no—
198#387—21no—
199#387—21no—
200#387—21no—
201#387—21no—
202#387—21no—
203#387—21no—
204#386—21no—
205#386—21no—
206#386—21no—
207#386—21no—
208#385—21no—
209#385—21no—
210#385—21no—
211#385—21no—
212#384—21no—
213#384—21no—
214#384—21no—
215#384—21no—
216#384C2312yes—
217#384C2312yes—
218#384C2312yes—
219#384C2312yes—
220#382C2314yes—
221#382C2314yes—
222#380—22no—
223#380—22no—
224#380—22no—
225#380—22no—
226C4×C4⋊C4—22no—
227C4×C4⋊C4—22no—
228C4×C4⋊C4—22no—
229C4×C4⋊C4—22no—
230C4×C4⋊C4—21no—
231C4×C4⋊C4—21no—
232C4×C4⋊C4—21no—
233C4×C4⋊C4—21no—
234C4×C4⋊C4—21no—
235C4×C4⋊C4—21no—
236C4×C4⋊C4—21no—
237C4×C4⋊C4—21no—
238C4×C4⋊C4C2311yescharacteristic
239C4×C4⋊C4C2311yescharacteristic
240C4×C4⋊C4C2311yescharacteristic
241C4×C4⋊C4C2311yescharacteristic
242C4×C22⋊C4—21no—
243C4×C22⋊C4—21no—
244C4×C22⋊C4—21no—
245C4×C22⋊C4—21no—
246C4×C22⋊C4—21no—
247C4×C22⋊C4—21no—
248C4×C22⋊C4—21no—
249C4×C22⋊C4—21no—
250C4×C22⋊C4—21no—
251C4×C22⋊C4—21no—
252#376—21no—
253#376—21no—
254#376—21no—
255#376—21no—
256#376—21no—
257C43—21no—
258C43D411yescharacteristic
259C43D411yescharacteristic
260C43D411yescharacteristic
261C43D411yescharacteristic
262C43C2311yescharacteristic
263C43C2311yescharacteristic
264C43C2311yescharacteristic
265C43C2311yescharacteristic
266#340C2314yes—
267#340C2314yes—
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#340C2314yes—
273#340C2314yes—
274#336C2312yes—
275#336C2312yes—
276#336C2314yes—
277#336C2314yes—
278#336C2312yes—
279#336C2312yes—
280C2×#41—22no—
281C2×#41—24no—
282C2×#41—24no—
283C2×#41C2×Q814yes—
284C22×Q8—22no—
285C22×Q8—22no—
286C22×Q8C2411yescharacteristic
287C22×D4—21no—
288C22×D4C2411yescharacteristic
289C23×C4—21no—
290C23×C4—21no—
291C23×C4—21no—
292C23×C4C2×D411yescharacteristic
293C23×C4C2×D411yescharacteristic
294C23×C4C2×D411yescharacteristic
295C23×C4C2×D411yescharacteristic
296C23×C4C2×D411yescharacteristic
297C23×C4C2×D411yescharacteristic
298C23×C4C2411yescharacteristic
299C22×C8—28no—
300C22×C8—28no—
301C22×C8—28no—
302C22×C8C2414yes—
303C22×C8C2414yes—
304C4⋊Q8—44no—
305C4⋊Q8—44no—
306C4⋊Q8—44no—
307C4⋊Q8—44no—
308C4⋊Q8—44no—
309C4⋊Q8—44no—
310#125—44no—
311#125—44no—
312C22⋊Q8—48no—
313C22⋊Q8—48no—
314C4×Q8—22no—
315C4×Q8—22no—
316C4×Q8—48no—
317C4×Q8—48no—
318C4×Q8C2×Q814yes—
319C4×Q8C2×Q814yes—
320C4×D4—28no—
321C4×D4—28no—
322C4×D4—22no—
323C4×D4—22no—
324C4×D4C2×Q814yes—
325C4×D4C2×Q814yes—
326#117—22no—
327#117—28no—
328#117—28no—
329#117—28no—
330#117—24no—
331#117—24no—
332#117—44no—
333#117—44no—
334#117—44no—
335#117—44no—
336#117C2×Q814yes—
337C2×C4⋊C4—21no—
338C2×C4⋊C4—21no—
339C2×C4⋊C4—21no—
340C2×C4⋊C4—21no—
341C2×C4⋊C4—21no—
342C2×C4⋊C4—21no—
343C2×C4⋊C4—21no—
344C2×C4⋊C4—21no—
345C2×C4⋊C4—21no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—24no—
348C2×C4⋊C4—24no—
349C2×C4⋊C4—22no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4C2414yes—
360C2×C4⋊C4C2414yes—
361C2×C4⋊C4C2411yescharacteristic
362C2×C4⋊C4C2411yescharacteristic
363C2×C4⋊C4C2411yescharacteristic
364C2×C4⋊C4C2411yescharacteristic
365C2×C4⋊C4C2411yescharacteristic
366C2×C4⋊C4C2411yescharacteristic
367C2×C22⋊C4—21no—
368C2×C22⋊C4—21no—
369C2×C22⋊C4—21no—
370C2×C22⋊C4—24no—
371C2×C22⋊C4—21no—
372C2×C22⋊C4—21no—
373C2×C22⋊C4—21no—
374C2×C22⋊C4—21no—
375C2×C22⋊C4—21no—
376C2×C22⋊C4—21no—
377C2×C22⋊C4—21no—
378C2×C22⋊C4—21no—
379C2×C22⋊C4—21no—
380C2×C22⋊C4—21no—
381C2×C42—21no—
382C2×C42—21no—
383C2×C42—21no—
384C2×C42—24no—
385C2×C42—24no—
386C2×C42—28no—
387C2×C42—24no—
388C2×C42—21no—
389C2×C42—21no—
390C2×C42—21no—
391C2×C42—21no—
392C2×C42—24no—
393C2×C42—21no—
394C2×C42—21no—
395C2×C42—42no—
396C2×C42—42no—
397C2×C42—42no—
398C2×C42C2×D411yescharacteristic
399C2×C42C2×D411yescharacteristic
400C2×C42C2×D411yescharacteristic
401C2×C42C2×D411yescharacteristic
402C2×C42C2×D411yescharacteristic
403C2×C42C2×D411yescharacteristic
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D411yescharacteristic
406C2×C42C2×D411yescharacteristic
407C2×C42C2×D411yescharacteristic
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D411yescharacteristic
411C2×C42C2×D411yescharacteristic
412C2×C42C2×D411yescharacteristic
413C2×C42C2×D411yescharacteristic
414C2×C42C2×D411yescharacteristic
415C2×C42C2×D411yescharacteristic
416C2×C42C2×D411yescharacteristic
417C2×C42C2×D411yescharacteristic
418C2×C42C2×D411yescharacteristic
419C2×C42C2×D411yescharacteristic
420C2×C42C2×Q814yes—
421C2×C42#4114yes—
422C2×C42C2411yescharacteristic
423C2×C42C2411yescharacteristic
424C2×C42C2411yescharacteristic
425C2×C42C2411yescharacteristic
426C2×C42C2411yescharacteristic
427C2×C42C2411yescharacteristic
428#107—44no—
429#107—44no—
430#106—44no—
431#106—44no—
432C4⋊C8—24no—
433C4⋊C8—24no—
434C4⋊C8—28no—
435#103—44no—
436#103—44no—
437#102—44no—
438#102—44no—
439#95—21no—
440#95—21no—
441#95—21no—
442#95—21no—
443#95—21no—
444#95—21no—
445#95—21no—
446#95—21no—
447#95—21no—
448#95—21no—
449#95—21no—
450#95—21no—
451#95—21no—
452#95—21no—
453#95—21no—
454#95—21no—
455#95—21no—
456#95—21no—
457#95—21no—
458#95—21no—
459#95—24no—
460#95—24no—
461#95—24no—
462#95—24no—
463C24—21no—
464C24C22×D411yescharacteristic
465#41—216no—
466#41—48no—
467C2×Q8—21no—
468C2×Q8—22no—
469C2×Q8—22no—
470C2×Q8—44no—
471C2×Q8—44no—
472C2×Q8—44no—
473C2×Q8—44no—
474C2×Q8—44no—
475C2×Q8—44no—
476C2×Q8C22×Q812yes—
477C2×D4—24no—
478C2×D4—21no—
479C2×D4—22no—
480C2×D4—22no—
481C2×D4—42no—
482C2×D4—42no—
483C2×D4C22×Q812yes—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—21no—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—24no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—21no—
501C22×C4—21no—
502C22×C4—21no—
503C22×C4—21no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—41no—
507C22×C4—41no—
508C22×C4—41no—
509C22×C4—41no—
510C22×C4—41no—
511C22×C4—41no—
512C22×C4—42no—
513C22×C4—42no—
514C22×C4—42no—
515C22×C4—42no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4C22⋊Q814yes—
519C22×C4C22⋊Q814yes—
520C22×C4C22×D411yescharacteristic
521C22×C4C22×D411yescharacteristic
522C22×C4C22×D411yescharacteristic
523C22×C4C22×D411yescharacteristic
524C22×C4C22×D411yescharacteristic
525C22×C4C22×D411yescharacteristic
526C22×C4C22×D411yescharacteristic
527C22×C4C22×D411yescharacteristic
528C22×C4C22×D411yescharacteristic
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×Q812yes—
534C22×C4C2×#4112yes—
535C22×C4H(5,𝔽2)14yes—
536C22×C42−1+414yes—
537C22×C4C2511yescharacteristic
538C2×C8—24no—
539C2×C8—24no—
540C2×C8—24no—
541C2×C8—24no—
542C2×C8—24no—
543C2×C8—24no—
544C2×C8—416no—
545C4⋊C4—24no—
546C4⋊C4—24no—
547C4⋊C4—21no—
548C4⋊C4—21no—
549C4⋊C4—24no—
550C4⋊C4—24no—
551C4⋊C4—22no—
552C4⋊C4—22no—
553C4⋊C4—24no—
554C4⋊C4—24no—
555C4⋊C4—22no—
556C4⋊C4—22no—
557C4⋊C4—42no—
558C4⋊C4—42no—
559C4⋊C4—42no—
560C4⋊C4—42no—
561C4⋊C4—48no—
562C4⋊C4—48no—
563C4⋊C4—44no—
564C4⋊C4—44no—
565C4⋊C4—44no—
566C4⋊C4—44no—
567C4⋊C4—44no—
568C4⋊C4—44no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—44no—
572C4⋊C4—44no—
573C4⋊C4—42no—
574C4⋊C4—42no—
575C4⋊C4—44no—
576C4⋊C4—44no—
577C4⋊C4C22×Q812yes—
578C4⋊C4C22×Q812yes—
579C22⋊C4—24no—
580C22⋊C4—24no—
581C22⋊C4—24no—
582C22⋊C4—42no—
583C22⋊C4—42no—
584C22⋊C4—42no—
585C22⋊C4—42no—
586C22⋊C4—42no—
587C22⋊C4—48no—
588C22⋊C4—42no—
589C22⋊C4—42no—
590C22⋊C4—42no—
591C22⋊C4—42no—
592C22⋊C4—42no—
593C42—24no—
594C42—24no—
595C42—24no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—22no—
608C42—22no—
609C42—22no—
610C42—22no—
611C42—22no—
612C42—22no—
613C42—41no—
614C42—41no—
615C42—41no—
616C42—41no—
617C42—41no—
618C42—41no—
619C42—42no—
620C42—42no—
621C42—42no—
622C42—48no—
623C42—42no—
624C42—42no—
625C42—42no—
626C42C22⋊Q814yes—
627C42C22⋊Q814yes—
628C42#13514yes—
629C42C22×Q812yes—
630C42C22×Q812yes—
631C42C2×#4112yes—
632C42C2×#4112yes—
633C23—21no—
634C23—21no—
635C23—21no—
636C23—21no—
637C23—22no—
638C23—41no—
639C23—41no—
640C23—41no—
641C23—41no—
642C23—41no—
643C23—41no—
644C23C2×C22⋊Q812yes—
645C23#53512yes—
646C23#53612yes—
647C23C23×D411yescharacteristic
648Q8—24no—
649Q8—42no—
650Q8—88no—
651Q8—88no—
652D4—24no—
653D4—48no—
654D4—42no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—21no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—28no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—44no—
689C2×C4—44no—
690C2×C4—48no—
691C2×C4—41no—
692C2×C4—41no—
693C2×C4—41no—
694C2×C4—41no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—48no—
698C2×C4—48no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—41no—
702C2×C4—41no—
703C2×C4—41no—
704C2×C4—41no—
705C2×C4—41no—
706C2×C4—41no—
707C2×C4—44no—
708C2×C4—41no—
709C2×C4—41no—
710C2×C4—41no—
711C2×C4—41no—
712C2×C4—41no—
713C2×C4—41no—
714C2×C4—44no—
715C2×C4—44no—
716C2×C4—44no—
717C2×C4C2×C22⋊Q812yes—
718C2×C4C2×C22⋊Q812yes—
719C2×C4C2×C22⋊Q812yes—
720C2×C4C2×C22⋊Q812yes—
721C2×C4C2×C22⋊Q812yes—
722C2×C4#53512yes—
723C2×C4#53612yes—
724C2×C4#54218yes—
725C2×C4#54418yes—
726C2×C4C2×#13512yes—
727C2×C4C2×#13512yes—
728C2×C4C2×#13512yes—
729C2×C4#57512yes—
730C2×C4#57512yes—
731C2×C4#57512yes—
732C2×C4C23×Q811yescharacteristic
733C2×C4C22×#4111yescharacteristic
734C2×C4C2×H(5,𝔽2)12yes—
735C2×C4C2×2−1+412yes—
736C8—44no—
737C8—44no—
738C22—22no—
739C22—22no—
740C22—22no—
741C22—22no—
742C22—22no—
743C22—22no—
744C22—42no—
745C22—42no—
746C22—42no—
747C22—81no—
748C22—81no—
749C22—81no—
750C22—81no—
751C22#262814yes—
752C22C22×C22⋊Q811yescharacteristic
753C22C2×#53511yescharacteristic
754C22C2×#53611yescharacteristic
755C22C22×#13511yescharacteristic
756C22C2×#57511yescharacteristic
757C22C2×#57511yescharacteristic
758C22C2×#57511yescharacteristic
759C4—22no—
760C4—22no—
761C4—22no—
762C4—22no—
763C4—22no—
764C4—22no—
765C4—22no—
766C4—42no—
767C4—42no—
768C4—42no—
769C4—41no—
770C4—41no—
771C4—41no—
772C4—41no—
773C4—81no—
774C4—84no—
775C4—81no—
776C4—84no—
777C4—81no—
778C4—81no—
779C4#262814yes—
780C4#307614yes—
781C4C2×#54212yes—
782C4C2×#54412yes—
783C2—24no—
784C2—82no—
785C2C2×#262811yescharacteristic
786C2C2×#307611yescharacteristic
787C2#6048411yescharacteristic
788C2#6078211yescharacteristic
789C2#6079011yescharacteristic
790C2#6084611yescharacteristic
791C2#6085411yescharacteristic
subgroupG/H
centerC22×C4C22×D4
commutator, Frattini, cosocleC22×C4C25
socleC23C23×D4
prime radicalC22×#41C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C22×C4 ◁ C2×C43 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36645C2semidirect
3. #29989C2semidirect
4. #29988C2semidirect
5. #29987C2semidirect
6. #29986C2semidirect
7. #29985C2semidirect
8. #29984C2semidirect
9. #29983C2semidirect
10. #29982C2semidirect
11. #29981C2semidirect
12. #29980C2semidirect
13. #23744C2semidirect
15. #23551C2semidirect
17. #21169C2semidirect
18. C2×#1831C2semidirect
120. C4×#41Q8semidirect

Maximal subgroups

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

subgroupindex
#366452
#340262
#299892
#299882
#299872
#299862
#299852
#299842
#299832
#299822
#299812
#299802
#237442
#237302
#235512
#234512
#211692
C2×#18312
#206452