Finite Group Databasebeta

← #6489338

Subgroups — #6489338

Order 512.

1858 conjugacy classes of subgroups.

The subgroup lattice has 778 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#36635C211yesmaximal, characteristic, complemented
2C2×C4×#124C211yesmaximal, characteristic
3#32957C211yesmaximal, characteristic, complemented
4#32956C211yesmaximal, characteristic
5#32954C211yesmaximal, characteristic, complemented
6#32953C211yesmaximal, characteristic
7#30081C214yesmaximal, complemented
8#28721C212yesmaximal, complemented
9#28510C212yesmaximal, complemented
10#28204C212yesmaximal, complemented
11#28203C212yesmaximal, complemented
12#27952C212yesmaximal, complemented
13#27589C212yesmaximal, complemented
14#27588C212yesmaximal
15#25859C212yesmaximal
16#22222C214yesmaximal, complemented
17#20777C211yesmaximal, characteristic, complemented
18C22×#124C2211yescharacteristic
19C22×C4×Q8C2211yescharacteristic
20C22×C4×D4C2211yescharacteristic
21C2×#488C2214yes—
22C2×#477C2212yescomplemented
23C2×#475C2212yescomplemented
24C2×#476C2212yes—
25C2×#474C2212yes—
26#2864C2212yescomplemented
27#2863—21no—
28#2863—21no—
29#2862C2211yescharacteristic, complemented
30#2859C2211yescharacteristic, complemented
31#2857C2211yescharacteristic
32#2857C2211yescharacteristic
33#2855—21no—
34#2855—21no—
35#2851C2212yes—
36C4×C4⋊Q8C2211yescharacteristic, complemented
37C4×C4⋊Q8C2211yescharacteristic, complemented
38C4×#125C2212yescomplemented
39C4×#124—21no—
40C4×#124—21no—
41C4×#124—21no—
42C4×#124—21no—
43C4×#124C2212yes—
44C4×#124C2212yes—
45C4×#124C2212yes—
46C4×#124C2212yes—
47C4×C22⋊Q8—21no—
48C4×C22⋊Q8—21no—
49#2295—21no—
50#2295—21no—
51C2×#391C2211yescharacteristic
52C2×#390C2211yescharacteristic
53C2×#388—21no—
54C2×#388—21no—
55#2283C2212yes—
56C2×#382C2211yescharacteristic
57C2×C4×C22⋊C4—21no—
58C2×C4×C22⋊C4—21no—
59C2×C43C2211yescharacteristic
60#2097C2214yescomplemented
61#2092C2214yes—
62#2085C2214yescomplemented
63#2085C2214yescomplemented
64#2074C2214yescomplemented
65#2073C2214yes—
66#2042C2214yes—
67#2042C2214yes—
68#1991C2214yescomplemented
69#1958C2214yes—
70#1928C2214yescomplemented
71#1927C2214yescomplemented
72#1926C2214yes—
73#1925C2214yes—
74#1865C2214yescomplemented
75#1864C2214yes—
76#1863C2214yescomplemented
77#1862C2214yes—
78#1853C2212yes—
79#1853C2212yes—
80#1852C2212yes—
81#1852C2212yes—
82#1846C2214yescomplemented
83#1839C2212yescomplemented
84#1831C2212yescomplemented
85#1817C2212yes—
86#1803C2212yescomplemented
87#1803C2212yescomplemented
88#1802C2212yes—
89#1802C2212yes—
90#1797C2211yescharacteristic
91#1797C2211yescharacteristic
92#1787C2212yes—
93#1787C2212yes—
94#1786C2212yes—
95#1786C2212yes—
96C4×C4⋊C8C2212yescomplemented
97C4×C22⋊C8C2212yes—
98#1744C2212yescomplemented
99C23×Q8C2311yescharacteristic
100C23×D4C2311yescharacteristic
101C24×C4—21no—
102C2×C4⋊Q8C2311yescharacteristic
103C2×C4⋊Q8C2311yescharacteristic
104C2×#125C2312yes—
105C2×#124—28no—
106C2×#124—21no—
107C2×#124—21no—
108C2×#124C2312yes—
109C2×#124C2312yes—
110C2×C22⋊Q8—21no—
111C2×C22⋊Q8—21no—
112C2×C4×Q8—21no—
113C2×C4×Q8—21no—
114C2×C4×Q8—21no—
115C2×C4×Q8—21no—
116C2×C4×Q8—44no—
117C2×C4×Q8C2312yes—
118C2×C4×Q8C2312yes—
119C2×C4×D4—21no—
120C2×C4×D4—21no—
121C2×C4×D4—44no—
122C2×C4×D4C2312yes—
123C2×C4×D4C2312yes—
124C22×C4⋊C4—21no—
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C22⋊C4—21no—
128C22×C22⋊C4—21no—
129C22×C22⋊C4—21no—
130C22×C22⋊C4—21no—
131C22×C22⋊C4—21no—
132C22×C42—21no—
133C22×C42D411yescharacteristic
134C22×C42D411yescharacteristic
135C22×C42D411yescharacteristic
136C22×C42D411yescharacteristic
137C22×C42C2311yescharacteristic
138C22×C42C2311yescharacteristic
139C22×C42C2311yescharacteristic
140#488—216no—
141#477—44no—
142#476—44no—
143#475—44no—
144#474—44no—
145C2×#107C2314yes—
146C2×#107C2314yes—
147C2×#106C2314yes—
148C2×#106C2314yes—
149C2×C4⋊C8C2312yes—
150C2×C4⋊C8C2312yes—
151C2×#103C2314yes—
152C2×#103C2314yes—
153C2×#103C2314yes—
154C2×#103C2314yes—
155C2×#102C2314yes—
156C2×#102C2314yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×C22⋊C8C2312yes—
160C2×C22⋊C8C2312yes—
161C2×C4×C8C2314yes—
162#391—21no—
163#391—21no—
164#391—21no—
165#391—21no—
166#391—21no—
167#391—21no—
168#391—21no—
169#391—21no—
170#391—21no—
171#391—21no—
172#391C2312yes—
173#391C2312yes—
174#390—21no—
175#390—21no—
176#390C2312yes—
177#390C2312yes—
178#389—21no—
179#389—21no—
180#389—21no—
181#389—21no—
182#389—21no—
183#389—21no—
184#389—21no—
185#389—21no—
186#389C2312yes—
187#389C2312yes—
188#389C2312yes—
189#389C2312yes—
190#388—22no—
191#388—22no—
192#388—22no—
193#388—22no—
194#388—22no—
195#388—22no—
196#388—22no—
197#388—22no—
198#387—22no—
199#387—22no—
200#387—22no—
201#387—22no—
202#387—22no—
203#387—22no—
204#387—22no—
205#387—22no—
206#385—22no—
207#385—22no—
208#384C2311yescharacteristic
209#384C2311yescharacteristic
210#383—22no—
211#382—21no—
212#382—21no—
213#382C2312yes—
214#382C2312yes—
215#382C2312yes—
216#382C2312yes—
217#382C2312yes—
218#381—22no—
219#380—21no—
220#380—21no—
221#380C2312yes—
222#380C2312yes—
223C4×C4⋊C4—22no—
224C4×C4⋊C4—22no—
225C4×C4⋊C4—21no—
226C4×C4⋊C4—21no—
227C4×C4⋊C4C2312yes—
228C4×C4⋊C4C2312yes—
229C4×C22⋊C4—22no—
230C4×C22⋊C4—22no—
231C4×C22⋊C4—22no—
232C4×C22⋊C4—22no—
233C4×C22⋊C4—22no—
234C4×C22⋊C4—22no—
235C4×C22⋊C4—22no—
236C4×C22⋊C4—22no—
237C4×C22⋊C4—22no—
238#376—22no—
239C2×#95—21no—
240C2×#95—21no—
241C2×#95—21no—
242C2×#95—21no—
243C43D411yescharacteristic
244C43D411yescharacteristic
245C43D411yescharacteristic
246C43D411yescharacteristic
247C43C2311yescharacteristic
248C43C2311yescharacteristic
249C43C2311yescharacteristic
250C43C2311yescharacteristic
251#340C2314yes—
252#340C2314yes—
253#340C2314yes—
254#340C2314yes—
255#336C2312yes—
256#336C2312yes—
257#336C2314yes—
258#336C2314yes—
259#336C2314yes—
260C25—21no—
261C22×Q8—24no—
262C22×Q8—21no—
263C22×Q8—21no—
264C22×Q8—21no—
265C22×Q8—22no—
266C22×Q8—22no—
267C22×Q8—42no—
268C22×Q8C2412yes—
269C22×D4—24no—
270C22×D4—21no—
271C22×D4—22no—
272C22×D4—22no—
273C22×D4—42no—
274C22×D4C2412yes—
275C23×C4—21no—
276C23×C4—21no—
277C23×C4—21no—
278C23×C4—22no—
279C23×C4—22no—
280C23×C4—44no—
281C23×C4—44no—
282C23×C4—44no—
283C23×C4C2×D411yescharacteristic
284C23×C4C2×D411yescharacteristic
285C23×C4C2×D411yescharacteristic
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D411yescharacteristic
288C23×C4C2×D411yescharacteristic
289C23×C4C2411yescharacteristic
290C22×C8C2414yes—
291C22×C8C2414yes—
292C4⋊Q8—24no—
293C4⋊Q8—24no—
294#125—28no—
295#124—28no—
296#124—28no—
297#124—24no—
298#124—24no—
299#124—24no—
300#124#4118yes—
301C22⋊Q8—44no—
302C22⋊Q8—44no—
303C4×Q8—24no—
304C4×Q8—24no—
305C4×Q8—42no—
306C4×Q8—42no—
307C4×Q8—44no—
308C4×Q8—44no—
309C4×Q8—44no—
310C4×Q8—44no—
311C4×D4—24no—
312C4×D4—24no—
313C4×D4—42no—
314C4×D4—42no—
315C4×D4—44no—
316C4×D4—44no—
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—22no—
324C2×C4⋊C4—22no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—22no—
328C2×C4⋊C4—22no—
329C2×C4⋊C4—22no—
330C2×C4⋊C4—22no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—42no—
334C2×C4⋊C4—42no—
335C2×C4⋊C4—44no—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C4⋊C4C2412yes—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2412yes—
342C2×C22⋊C4—28no—
343C2×C22⋊C4—28no—
344C2×C22⋊C4—22no—
345C2×C22⋊C4—22no—
346C2×C22⋊C4—22no—
347C2×C22⋊C4—22no—
348C2×C22⋊C4—22no—
349C2×C22⋊C4—22no—
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—44no—
357C2×C22⋊C4—44no—
358C2×C22⋊C4—44no—
359C2×C42—24no—
360C2×C42—22no—
361C2×C42—22no—
362C2×C42—24no—
363C2×C42—24no—
364C2×C42—22no—
365C2×C42—22no—
366C2×C42—22no—
367C2×C42—22no—
368C2×C42—42no—
369C2×C42—42no—
370C2×C42—42no—
371C2×C42—44no—
372C2×C42C2×D411yescharacteristic
373C2×C42C2×D411yescharacteristic
374C2×C42C2×D411yescharacteristic
375C2×C42C2×D411yescharacteristic
376C2×C42C2×D411yescharacteristic
377C2×C42C2×D411yescharacteristic
378C2×C42C2×D411yescharacteristic
379C2×C42C2×D411yescharacteristic
380C2×C42C2×D411yescharacteristic
381C2×C42C2×D411yescharacteristic
382C2×C42C2×D411yescharacteristic
383C2×C42C2×D411yescharacteristic
384C2×C42C2×D411yescharacteristic
385C2×C42C2×D411yescharacteristic
386C2×C42C2×D411yescharacteristic
387C2×C42C2×D411yescharacteristic
388C2×C42C2×D411yescharacteristic
389C2×C42C2×D411yescharacteristic
390C2×C42C2×D411yescharacteristic
391C2×C42C2×D411yescharacteristic
392C2×C42C2×D411yescharacteristic
393C2×C42C2×D411yescharacteristic
394C2×C42C2411yescharacteristic
395C2×C42C2411yescharacteristic
396C2×C42C2411yescharacteristic
397C2×C42C2411yescharacteristic
398C2×C42C2411yescharacteristic
399C2×C42C2411yescharacteristic
400#107—44no—
401#107—44no—
402#106—44no—
403#106—44no—
404C4⋊C8—24no—
405C4⋊C8—24no—
406#103—28no—
407#103—28no—
408#103—44no—
409#103—44no—
410#102—28no—
411#102—28no—
412#102—44no—
413#102—44no—
414C22⋊C8—24no—
415C22⋊C8—24no—
416C4×C8—28no—
417#95—22no—
418#95—22no—
419#95—22no—
420#95—22no—
421#95—22no—
422#95—22no—
423#95—22no—
424#95—22no—
425#95—22no—
426#95—22no—
427#95—22no—
428#95—22no—
429#95—22no—
430#95—22no—
431#95—22no—
432#95—22no—
433#95—22no—
434#95—22no—
435#95—22no—
436#95—22no—
437#95—22no—
438#95—22no—
439C24—24no—
440C24—22no—
441C24—42no—
442C24—42no—
443C24—42no—
444C24—42no—
445C24—42no—
446C24—42no—
447C24C22×D411yescharacteristic
448C2×Q8—24no—
449C2×Q8—22no—
450C2×Q8—22no—
451C2×Q8—22no—
452C2×Q8—22no—
453C2×Q8—22no—
454C2×Q8—48no—
455C2×Q8—48no—
456C2×Q8—42no—
457C2×Q8—42no—
458C2×Q8—42no—
459C2×Q8—42no—
460C2×Q8—42no—
461C2×Q8—42no—
462C2×Q8—42no—
463C2×Q8—42no—
464C2×Q8C2×#4114yes—
465C2×D4—24no—
466C2×D4—22no—
467C2×D4—22no—
468C2×D4—22no—
469C2×D4—22no—
470C2×D4—22no—
471C2×D4—48no—
472C2×D4—48no—
473C2×D4—42no—
474C2×D4—42no—
475C2×D4C2×#4114yes—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—24no—
481C22×C4—22no—
482C22×C4—22no—
483C22×C4—22no—
484C22×C4—22no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—41no—
500C22×C4—41no—
501C22×C4—41no—
502C22×C4—41no—
503C22×C4—44no—
504C22×C4—44no—
505C22×C4—42no—
506C22×C4—42no—
507C22×C4—42no—
508C22×C4—42no—
509C22×C4—42no—
510C22×C4—42no—
511C22×C4—42no—
512C22×C4—42no—
513C22×C4—44no—
514C22×C4—44no—
515C22×C4—44no—
516C22×C4—44no—
517C22×C4—816no—
518C22×C4#13514yes—
519C22×C4C22×D411yescharacteristic
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×C42−1+412yes—
533C22×C42−1+412yes—
534C22×C4C2511yescharacteristic
535C2×C8—24no—
536C2×C8—24no—
537C2×C8—24no—
538C2×C8—24no—
539C2×C8—24no—
540C2×C8—24no—
541C4⋊C4—24no—
542C4⋊C4—24no—
543C4⋊C4—24no—
544C4⋊C4—24no—
545C4⋊C4—22no—
546C4⋊C4—22no—
547C4⋊C4—22no—
548C4⋊C4—22no—
549C4⋊C4—42no—
550C4⋊C4—42no—
551C4⋊C4—44no—
552C4⋊C4—42no—
553C4⋊C4—44no—
554C4⋊C4—44no—
555C4⋊C4—42no—
556C4⋊C4—44no—
557C4⋊C4—44no—
558C4⋊C4—44no—
559C4⋊C4—44no—
560C4⋊C4—42no—
561C4⋊C4—42no—
562C4⋊C4—42no—
563C4⋊C4—44no—
564C4⋊C4—42no—
565C22⋊C4—28no—
566C22⋊C4—28no—
567C22⋊C4—28no—
568C22⋊C4—28no—
569C22⋊C4—44no—
570C22⋊C4—44no—
571C22⋊C4—44no—
572C22⋊C4—44no—
573C22⋊C4—44no—
574C22⋊C4—44no—
575C22⋊C4—44no—
576C22⋊C4—44no—
577C42—22no—
578C42—22no—
579C42—22no—
580C42—22no—
581C42—22no—
582C42—22no—
583C42—22no—
584C42—22no—
585C42—22no—
586C42—22no—
587C42—22no—
588C42—22no—
589C42—22no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—21no—
594C42—21no—
595C42—21no—
596C42—21no—
597C42—41no—
598C42—41no—
599C42—41no—
600C42—41no—
601C42—41no—
602C42—41no—
603C42—41no—
604C42—41no—
605C42—44no—
606C42—44no—
607C42—44no—
608C42—44no—
609C42C2×#4114yes—
610C42H(5,𝔽2)14yes—
611C23—21no—
612C23—21no—
613C23—21no—
614C23—21no—
615C23—24no—
616C23—48no—
617C23—48no—
618C23—48no—
619C23—42no—
620C23—42no—
621C23—42no—
622C23—42no—
623C23—42no—
624C23—42no—
625C23—84no—
626C23—84no—
627C23—84no—
628C23—84no—
629C23#53612yes—
630C23C2×#13512yes—
631C23#57512yes—
632C23C23×D411yescharacteristic
633Q8—24no—
634Q8—24no—
635Q8—48no—
636Q8—42no—
637Q8—42no—
638Q8—84no—
639Q8—84no—
640D4—24no—
641D4—24no—
642D4—48no—
643D4—42no—
644D4—42no—
645C2×C4—21no—
646C2×C4—21no—
647C2×C4—21no—
648C2×C4—21no—
649C2×C4—21no—
650C2×C4—21no—
651C2×C4—21no—
652C2×C4—21no—
653C2×C4—21no—
654C2×C4—21no—
655C2×C4—21no—
656C2×C4—21no—
657C2×C4—28no—
658C2×C4—24no—
659C2×C4—24no—
660C2×C4—21no—
661C2×C4—21no—
662C2×C4—24no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—21no—
668C2×C4—21no—
669C2×C4—21no—
670C2×C4—21no—
671C2×C4—21no—
672C2×C4—21no—
673C2×C4—21no—
674C2×C4—21no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—44no—
680C2×C4—44no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—48no—
684C2×C4—42no—
685C2×C4—42no—
686C2×C4—44no—
687C2×C4—42no—
688C2×C4—42no—
689C2×C4—42no—
690C2×C4—42no—
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—88no—
706C2×C4—84no—
707C2×C4—84no—
708C2×C4—88no—
709C2×C4#52512yes—
710C2×C4#52512yes—
711C2×C4#53512yes—
712C2×C4#53512yes—
713C2×C4#53612yes—
714C2×C4C2×#13512yes—
715C2×C4C2×#13512yes—
716C2×C4#57512yes—
717C2×C4#57512yes—
718C2×C4C22×#4112yes—
719C2×C4C2×H(5,𝔽2)12yes—
720C2×C4C2×2−1+411yescharacteristic
721C2×C4C2×2−1+411yescharacteristic
722C8—44no—
723C8—44no—
724C22—22no—
725C22—22no—
726C22—22no—
727C22—22no—
728C22—22no—
729C22—22no—
730C22—44no—
731C22—44no—
732C22—44no—
733C22—816no—
734C22—82no—
735C22—82no—
736C22—82no—
737C22—82no—
738C22#323314yes—
739C22C2×#52511yescharacteristic
740C22C2×#53511yescharacteristic
741C22C2×#53611yescharacteristic
742C22C22×#13511yescharacteristic
743C22C2×#57511yescharacteristic
744C22C2×#57511yescharacteristic
745C22C2×#57511yescharacteristic
746C4—22no—
747C4—22no—
748C4—22no—
749C4—22no—
750C4—22no—
751C4—22no—
752C4—41no—
753C4—41no—
754C4—41no—
755C4—44no—
756C4—41no—
757C4—41no—
758C4—41no—
759C4—82no—
760C4—82no—
761C4—82no—
762C4—82no—
763C4—82no—
764C4—82no—
765C4#321114yes—
766C4#352012yes—
767C4#352012yes—
768C2—24no—
769C2—84no—
770C2#3524011yescharacteristic
771C2#6053611yescharacteristic
772C2#6054611yescharacteristic
773C2C2×#321111yescharacteristic
774C2#6080511yescharacteristic
775C2C2×#323311yescharacteristic
776C2#6086611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4C23
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C43 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #36635C2semidirect
3. #32957C2semidirect
5. #32954C2semidirect
7. #30081C2semidirect
8. #28721C2semidirect
9. #28510C2semidirect
10. #28204C2semidirect
11. #28203C2semidirect
12. #27952C2semidirect
13. #27589C2semidirect
16. #22222C2semidirect
17. #20777C2semidirect
22. C2×#477C22semidirect
23. C2×#475C22semidirect
26. #2864C22semidirect
29. #2862C22semidirect
30. #2859C22semidirect
36. C4×C4⋊Q8C22semidirect
37. C4×C4⋊Q8C22semidirect
38. C4×#125C22semidirect
60. #2097C22semidirect
62. #2085C22semidirect
63. #2085C22semidirect
64. #2074C22semidirect
68. #1991C22semidirect
70. #1928C22semidirect
71. #1927C22semidirect
74. #1865C22semidirect
76. #1863C22semidirect
82. #1846C22semidirect
83. #1839C22semidirect
84. #1831C22semidirect
86. #1803C22semidirect
87. #1803C22semidirect
96. C4×C4⋊C8C22semidirect
98. #1744C22semidirect

Maximal subgroups

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

subgroupindex
#366352
C2×C4×#1242
#329572
#329562
#329542
#329532
#300812
#287212
#285102
#282042
#282032
#279522
#275892
#275882
#258592
#222222
#207772