Finite Group Databasebeta

← #6458951

Subgroups — #6458951

Order 512.

1948 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
1C2×C4×C22⋊Q8C211yesmaximal, characteristic
2C2×#2283C211yesmaximal, characteristic
3#27686C212yesmaximal, complemented
4#27653C212yesmaximal, complemented
5#27635C214yesmaximal, complemented
6#27617C212yesmaximal, complemented
7#27603C211yesmaximal, characteristic
8#27601C211yesmaximal, characteristic
9#27589C212yesmaximal, complemented
10#24006C211yesmaximal, characteristic
11#24003C211yesmaximal, characteristic
12#23765C214yesmaximal, complemented
13#21581C212yesmaximal, complemented
14#21579C212yesmaximal, complemented
15#21363C212yesmaximal, complemented
16#20741C212yesmaximal, complemented
17#20715C211yesmaximal, characteristic
18C22×C22⋊Q8C2211yescharacteristic
19C22×C4×Q8C2211yescharacteristic
20C23×C42C2211yescharacteristic
21C2×#484C2212yes—
22C2×#483C2212yes—
23C2×#432C2212yes—
24C4×C22⋊Q8—21no—
25C4×C22⋊Q8—21no—
26C4×C22⋊Q8—21no—
27C4×C22⋊Q8—21no—
28C4×C22⋊Q8C2212yes—
29C4×C22⋊Q8C2212yes—
30C4×C22⋊Q8C2212yes—
31C4×C22⋊Q8C2212yes—
32C2×#391C2211yescharacteristic
33C2×#389C2211yescharacteristic
34C2×#387—21no—
35C2×#385—21no—
36#2283—21no—
37#2283—21no—
38#2283—21no—
39#2283—21no—
40#2283C2212yes—
41#2283C2212yes—
42#2283C2212yes—
43#2283C2212yes—
44C2×#383—21no—
45C2×#382C2211yescharacteristic
46C2×#382C2211yescharacteristic
47C2×#381—21no—
48C2×#380C2211yescharacteristic
49C2×#380C2211yescharacteristic
50C2×#380C2211yescharacteristic
51C2×C4×C4⋊C4—21no—
52C2×C4×C4⋊C4C2211yescharacteristic
53C2×C4×C4⋊C4C2211yescharacteristic
54C2×C4×C4⋊C4C2211yescharacteristic
55C2×C4×C22⋊C4—21no—
56C2×C4×C22⋊C4—21no—
57C2×#376—21no—
58#2101C2214yescomplemented
59#2097C2214yescomplemented
60#2085C2214yescomplemented
61#2077C2214yes—
62#2076C2214yes—
63#2074C2214yescomplemented
64#2036C2214yes—
65#2035C2214yes—
66#1949C2214yescomplemented
67#1949C2214yescomplemented
68#1928C2214yescomplemented
69#1927C2214yescomplemented
70#1919C2214yescomplemented
71#1918C2214yescomplemented
72#1872C2212yes—
73#1872C2212yes—
74#1853C2212yes—
75#1853C2212yes—
76#1853C2212yes—
77#1852C2212yes—
78#1852C2212yes—
79#1852C2212yes—
80#1824C2212yes—
81#1824C2212yes—
82#1824C2212yes—
83#1823C2212yes—
84#1817C2212yes—
85#1805C2214yescomplemented
86#1805C2214yescomplemented
87#1797C2212yes—
88#1797C2212yes—
89#1787C2212yes—
90#1787C2212yes—
91#1779C2211yescharacteristic
92#1779C2211yescharacteristic
93#1776C2214yescomplemented
94#1776C2214yescomplemented
95#1763C2214yescomplemented
96#1763C2214yescomplemented
97#1749C2212yes—
98#1749C2212yes—
99C23×Q8C2311yescharacteristic
100C24×C4D411yescharacteristic
101C24×C4D411yescharacteristic
102C24×C4C2311yescharacteristic
103C2×C22⋊Q8—21no—
104C2×C22⋊Q8—21no—
105C2×C22⋊Q8—28no—
106C2×C22⋊Q8C2312yes—
107C2×C22⋊Q8C2312yes—
108C2×C4×Q8—21no—
109C2×C4×Q8—21no—
110C2×C4×Q8—28no—
111C2×C4×Q8C2312yes—
112C2×C4×Q8C2312yes—
113C22×C4⋊C4—21no—
114C22×C4⋊C4—21no—
115C22×C4⋊C4—21no—
116C22×C4⋊C4C2311yescharacteristic
117C22×C4⋊C4C2311yescharacteristic
118C22×C4⋊C4C2311yescharacteristic
119C22×C4⋊C4C2311yescharacteristic
120C22×C4⋊C4C2311yescharacteristic
121C22×C4⋊C4C2311yescharacteristic
122C22×C4⋊C4C2311yescharacteristic
123C22×C22⋊C4—21no—
124C22×C22⋊C4—21no—
125C22×C22⋊C4—21no—
126C22×C22⋊C4—21no—
127C22×C42—28no—
128C22×C42—21no—
129C22×C42—21no—
130C22×C42—21no—
131C22×C42—21no—
132C22×C42D411yescharacteristic
133C22×C42D411yescharacteristic
134C22×C42D411yescharacteristic
135C22×C42D411yescharacteristic
136C22×C42D411yescharacteristic
137C22×C42D411yescharacteristic
138C22×C42C2311yescharacteristic
139C22×C42C2311yescharacteristic
140C22×C42C2311yescharacteristic
141C22×C42C2311yescharacteristic
142C22×C42C2311yescharacteristic
143C22×C42C2311yescharacteristic
144#484—28no—
145#483—28no—
146#432—28no—
147C2×#107C2314yes—
148C2×#107C2314yes—
149C2×#106C2314yes—
150C2×#106C2314yes—
151C2×C4⋊C8C2314yes—
152C2×#103C2314yes—
153C2×#103C2314yes—
154C2×#103C2314yes—
155C2×#103C2314yes—
156C2×C22⋊C8C2312yes—
157C2×C22⋊C8C2312yes—
158C2×C22⋊C8C2312yes—
159C2×C22⋊C8C2312yes—
160C2×C22⋊C8C2312yes—
161C2×C22⋊C8C2312yes—
162C2×#97C2314yes—
163#391—21no—
164#391—21no—
165#391C2312yes—
166#391C2312yes—
167#389—21no—
168#389—21no—
169#389C2312yes—
170#389C2312yes—
171#387—22no—
172#387—22no—
173#387—22no—
174#387—22no—
175#385—22no—
176#385—22no—
177#385—22no—
178#385—22no—
179#383—22no—
180#383—22no—
181#383—22no—
182#383—22no—
183#382—21no—
184#382—21no—
185#382—21no—
186#382—21no—
187#382C2312yes—
188#382C2312yes—
189#382C2312yes—
190#382C2312yes—
191#381—22no—
192#381—22no—
193#381—22no—
194#381—22no—
195#380—21no—
196#380—21no—
197#380—21no—
198#380—21no—
199#380—21no—
200#380—21no—
201#380C2312yes—
202#380C2312yes—
203#380C2312yes—
204#380C2312yes—
205#380C2312yes—
206#380C2312yes—
207C4×C4⋊C4—22no—
208C4×C4⋊C4—22no—
209C4×C4⋊C4—22no—
210C4×C4⋊C4—22no—
211C4×C4⋊C4—21no—
212C4×C4⋊C4—21no—
213C4×C4⋊C4—21no—
214C4×C4⋊C4—21no—
215C4×C4⋊C4—21no—
216C4×C4⋊C4—21no—
217C4×C4⋊C4C2312yes—
218C4×C4⋊C4C2312yes—
219C4×C4⋊C4C2312yes—
220C4×C4⋊C4C2312yes—
221C4×C4⋊C4C2312yes—
222C4×C4⋊C4C2312yes—
223C4×C22⋊C4—22no—
224C4×C22⋊C4—22no—
225C4×C22⋊C4—22no—
226C4×C22⋊C4—22no—
227C4×C22⋊C4—22no—
228C4×C22⋊C4—22no—
229C4×C22⋊C4—22no—
230C4×C22⋊C4—22no—
231#376—22no—
232#376—22no—
233#376—22no—
234#376—22no—
235C2×#95—21no—
236C2×#95—21no—
237C2×#95—21no—
238C2×#95—21no—
239C2×#95—21no—
240C2×#95—21no—
241C2×#95—21no—
242C2×#95—21no—
243C2×#95—21no—
244C2×#95—21no—
245C2×#95—21no—
246C2×#95—21no—
247C2×#95—21no—
248#340C2314yes—
249#340C2314yes—
250#340C2314yes—
251#340C2314yes—
252#340C2314yes—
253#340C2314yes—
254#340C2314yes—
255#340C2314yes—
256#336C2314yes—
257#336C2314yes—
258C25C2×D411yescharacteristic
259C22×Q8—24no—
260C22×Q8—21no—
261C22×Q8—24no—
262C22×Q8—42no—
263C22×Q8C2412yes—
264C23×C4—24no—
265C23×C4—21no—
266C23×C4—21no—
267C23×C4—24no—
268C23×C4—24no—
269C23×C4—24no—
270C23×C4—24no—
271C23×C4—21no—
272C23×C4—21no—
273C23×C4—21no—
274C23×C4—21no—
275C23×C4—21no—
276C23×C4—21no—
277C23×C4—42no—
278C23×C4—42no—
279C23×C4—42no—
280C23×C4—42no—
281C23×C4C2×D411yescharacteristic
282C23×C4C2×D411yescharacteristic
283C23×C4C2×D411yescharacteristic
284C23×C4C2×D411yescharacteristic
285C23×C4C2×D411yescharacteristic
286C23×C4C2×D411yescharacteristic
287C23×C4C2×D411yescharacteristic
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D411yescharacteristic
290C23×C4C2×D411yescharacteristic
291C23×C4C2×D411yescharacteristic
292C23×C4C2×D411yescharacteristic
293C23×C4C2×D411yescharacteristic
294C23×C4C2×D411yescharacteristic
295C23×C4C2×D411yescharacteristic
296C23×C4C2411yescharacteristic
297C23×C4C2411yescharacteristic
298C23×C4C2411yescharacteristic
299C22×C8C2414yes—
300C22×C8C2414yes—
301C22⋊Q8—28no—
302C22⋊Q8—28no—
303C22⋊Q8—24no—
304C22⋊Q8—24no—
305C22⋊Q8—24no—
306C22⋊Q8#4118yes—
307C4×Q8—28no—
308C4×Q8—28no—
309C4×Q8—44no—
310C4×Q8—44no—
311C2×C4⋊C4—28no—
312C2×C4⋊C4—22no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—21no—
315C2×C4⋊C4—24no—
316C2×C4⋊C4—24no—
317C2×C4⋊C4—24no—
318C2×C4⋊C4—24no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—22no—
323C2×C4⋊C4—21no—
324C2×C4⋊C4—21no—
325C2×C4⋊C4—21no—
326C2×C4⋊C4—21no—
327C2×C4⋊C4—21no—
328C2×C4⋊C4—21no—
329C2×C4⋊C4—42no—
330C2×C4⋊C4—42no—
331C2×C4⋊C4—42no—
332C2×C4⋊C4—44no—
333C2×C4⋊C4—44no—
334C2×C4⋊C4C2412yes—
335C2×C4⋊C4C2412yes—
336C2×C4⋊C4C2412yes—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C4⋊C4C2412yes—
340C2×C4⋊C4C2412yes—
341C2×C22⋊C4—28no—
342C2×C22⋊C4—22no—
343C2×C22⋊C4—22no—
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—44no—
351C2×C22⋊C4—44no—
352C2×C22⋊C4—44no—
353C2×C42—24no—
354C2×C42—24no—
355C2×C42—24no—
356C2×C42—24no—
357C2×C42—24no—
358C2×C42—24no—
359C2×C42—24no—
360C2×C42—24no—
361C2×C42—24no—
362C2×C42—24no—
363C2×C42—24no—
364C2×C42—22no—
365C2×C42—22no—
366C2×C42—22no—
367C2×C42—22no—
368C2×C42—22no—
369C2×C42—22no—
370C2×C42—22no—
371C2×C42—22no—
372C2×C42—44no—
373C2×C42—44no—
374C2×C42—44no—
375C2×C42—44no—
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×C42#4118yes—
389C2×C42C2411yescharacteristic
390C2×C42C2411yescharacteristic
391C2×C42C2411yescharacteristic
392C2×C42C2411yescharacteristic
393#107—28no—
394#107—44no—
395#106—28no—
396#106—44no—
397C4⋊C8—28no—
398#103—28no—
399#103—28no—
400#103—44no—
401#103—44no—
402C22⋊C8—24no—
403C22⋊C8—24no—
404C22⋊C8—24no—
405C22⋊C8—24no—
406C22⋊C8—42no—
407C22⋊C8—42no—
408#97—28no—
409#95—22no—
410#95—22no—
411#95—22no—
412#95—22no—
413#95—22no—
414#95—22no—
415#95—22no—
416#95—22no—
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—
435C24—22no—
436C24—22no—
437C24—22no—
438C24—22no—
439C24—41no—
440C24—41no—
441C24#13714yes—
442C24C22×D411yescharacteristic
443C24C22×D411yescharacteristic
444C24C22×D411yescharacteristic
445C2×Q8—24no—
446C2×Q8—22no—
447C2×Q8—24no—
448C2×Q8—24no—
449C2×Q8—416no—
450C2×Q8—42no—
451C2×Q8—42no—
452C2×Q8C2×#4114yes—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—22no—
459C22×C4—22no—
460C22×C4—22no—
461C22×C4—22no—
462C22×C4—24no—
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—22no—
473C22×C4—22no—
474C22×C4—22no—
475C22×C4—22no—
476C22×C4—22no—
477C22×C4—22no—
478C22×C4—22no—
479C22×C4—22no—
480C22×C4—22no—
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—41no—
504C22×C4—41no—
505C22×C4—41no—
506C22×C4—41no—
507C22×C4—41no—
508C22×C4—41no—
509C22×C4—41no—
510C22×C4—41no—
511C22×C4—41no—
512C22×C4—41no—
513C22×C4—416no—
514C22×C4—416no—
515C22×C4—416no—
516C22×C4—42no—
517C22×C4—42no—
518C22×C4—42no—
519C22×C4—42no—
520C22×C4—42no—
521C22×C4—42no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—42no—
526C22×C4—42no—
527C22×C4—42no—
528C22×C4—42no—
529C22×C4—42no—
530C22×C4—42no—
531C22×C4—42no—
532C22×C4—42no—
533C22×C4—42no—
534C22×C4—42no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—42no—
538C22×C4#12314yes—
539C22×C4#12314yes—
540C22×C4C22×D411yescharacteristic
541C22×C4C22×D411yescharacteristic
542C22×C4C22×D411yescharacteristic
543C22×C4C22×D411yescharacteristic
544C22×C4C22×D411yescharacteristic
545C22×C4C22×D411yescharacteristic
546C22×C4C22×D411yescharacteristic
547C22×C4C22×D411yescharacteristic
548C22×C4C22×D411yescharacteristic
549C22×C4C22×D411yescharacteristic
550C22×C4C22×D411yescharacteristic
551C22×C4C2×#4114yes—
552C22×C4C2×#4114yes—
553C22×C4C2511yescharacteristic
554C2×C8—24no—
555C2×C8—24no—
556C2×C8—24no—
557C2×C8—24no—
558C2×C8—24no—
559C2×C8—24no—
560C4⋊C4—24no—
561C4⋊C4—28no—
562C4⋊C4—28no—
563C4⋊C4—22no—
564C4⋊C4—24no—
565C4⋊C4—24no—
566C4⋊C4—24no—
567C4⋊C4—24no—
568C4⋊C4—24no—
569C4⋊C4—24no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—44no—
574C4⋊C4—42no—
575C4⋊C4—44no—
576C4⋊C4—44no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—44no—
580C4⋊C4C2×#4114yes—
581C22⋊C4—28no—
582C22⋊C4—28no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C22⋊C4—44no—
589C42—22no—
590C42—22no—
591C42—22no—
592C42—22no—
593C42—22no—
594C42—22no—
595C42—22no—
596C42—22no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—44no—
602C42—44no—
603C42—44no—
604C42—44no—
605C42—44no—
606C42—44no—
607C42—44no—
608C42—44no—
609C42#12314yes—
610C42#12314yes—
611C42C2×#4114yes—
612C42C2×#4114yes—
613C23—21no—
614C23—21no—
615C23—21no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—28no—
622C23—28no—
623C23—21no—
624C23—21no—
625C23—21no—
626C23—21no—
627C23—21no—
628C23—21no—
629C23—44no—
630C23—44no—
631C23—44no—
632C23—44no—
633C23—44no—
634C23C2×#12312yes—
635C23#52512yes—
636C23C2×#13712yes—
637C23C2×#13712yes—
638C23C2×#13712yes—
639C23#57512yes—
640C23#57512yes—
641C23C23×D411yescharacteristic
642Q8—28no—
643Q8—48no—
644Q8—44no—
645C2×C4—28no—
646C2×C4—28no—
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—21no—
658C2×C4—21no—
659C2×C4—21no—
660C2×C4—21no—
661C2×C4—28no—
662C2×C4—28no—
663C2×C4—21no—
664C2×C4—21no—
665C2×C4—21no—
666C2×C4—21no—
667C2×C4—24no—
668C2×C4—24no—
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—44no—
678C2×C4—44no—
679C2×C4—44no—
680C2×C4—44no—
681C2×C4—44no—
682C2×C4—44no—
683C2×C4—44no—
684C2×C4—44no—
685C2×C4—44no—
686C2×C4—44no—
687C2×C4—44no—
688C2×C4—44no—
689C2×C4—48no—
690C2×C4—48no—
691C2×C4—44no—
692C2×C4—42no—
693C2×C4—42no—
694C2×C4—42no—
695C2×C4—42no—
696C2×C4—44no—
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—42no—
710C2×C4—42no—
711C2×C4—42no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—84no—
716C2×C4—84no—
717C2×C4—84no—
718C2×C4—84no—
719C2×C4—84no—
720C2×C4—84no—
721C2×C4C2×#12312yes—
722C2×C4C2×#12312yes—
723C2×C4C2×#12312yes—
724C2×C4C2×#12312yes—
725C2×C4C2×#12312yes—
726C2×C4#52512yes—
727C2×C4#57512yes—
728C2×C4C22×#4112yes—
729C2×C4C22×#4112yes—
730C2×C4#58512yes—
731C8—44no—
732C8—44no—
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—22no—
748C22—416no—
749C22—41no—
750C22—41no—
751C22—41no—
752C22—41no—
753C22#309514yes—
754C22#311714yes—
755C22C22×#12311yescharacteristic
756C22C2×#52511yescharacteristic
757C22#344911yescharacteristic
758C22C22×#13711yescharacteristic
759C22C2×#57511yescharacteristic
760C22C2×#57511yescharacteristic
761C22C2×#57511yescharacteristic
762C4—22no—
763C4—22no—
764C4—22no—
765C4—22no—
766C4—22no—
767C4—22no—
768C4—22no—
769C4—41no—
770C4—41no—
771C4—41no—
772C4—44no—
773C4—41no—
774C4—44no—
775C4—82no—
776C4—82no—
777C4—82no—
778C4—82no—
779C4—82no—
780C4—82no—
781C4#347514yes—
782C2—24no—
783C2—24no—
784C2—42no—
785C2#3480911yescharacteristic
786C2C2×#309511yescharacteristic
787C2#6051111yescharacteristic
788C2C2×#311711yescharacteristic
789C2#6056311yescharacteristic
790C2#6096011yescharacteristic
791C2#6096411yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC25C2×D4
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C23×C42 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
3. #27686C2semidirect
4. #27653C2semidirect
5. #27635C2semidirect
6. #27617C2semidirect
9. #27589C2semidirect
12. #23765C2semidirect
13. #21581C2semidirect
14. #21579C2semidirect
15. #21363C2semidirect
16. #20741C2semidirect
58. #2101C22semidirect
59. #2097C22semidirect
60. #2085C22semidirect
63. #2074C22semidirect
66. #1949C22semidirect
67. #1949C22semidirect
68. #1928C22semidirect
69. #1927C22semidirect
70. #1919C22semidirect
71. #1918C22semidirect
85. #1805C22semidirect
86. #1805C22semidirect
93. #1776C22semidirect
94. #1776C22semidirect
95. #1763C22semidirect
96. #1763C22semidirect

Maximal subgroups

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

subgroupindex
C2×C4×C22⋊Q82
C2×#22832
#276862
#276532
#276352
#276172
#276032
#276012
#275892
#240062
#240032
#237652
#215812
#215792
#213632
#207412
#207152