Finite Group Databasebeta

← #7507524

Subgroups — #7507524

Order 512.

2134 conjugacy classes of subgroups.

The subgroup lattice has 806 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2542C211yesmaximal, characteristic
2#34809C211yesmaximal, characteristic
3#32044C214yesmaximal, complemented
4#32039C212yesmaximal, complemented
5#32037C212yesmaximal, complemented
6#32034C214yesmaximal, complemented
7#32029C212yesmaximal, complemented
8#32027C212yesmaximal, complemented
9#23507C212yesmaximal, complemented
10#23481C212yesmaximal, complemented
11#23481C212yesmaximal, complemented
12#21033C212yesmaximal, complemented
13#20972C212yesmaximal, complemented
14#20911C212yesmaximal, complemented
15#20898C211yesmaximal, characteristic
16C23×M16C2211yescharacteristic
17C22×C4⋊Q8C2211yescharacteristic
18C22×C22⋊Q8C2212yes—
19C22×C22⋊Q8C2212yes—
20C22×C4×D4C2211yescharacteristic
21C22×#117C2211yescharacteristic
22C2×#428C2212yes—
23C2×#419C2212yes—
24C2×#419C2212yes—
25C2×#419C2212yes—
26C2×#419C2212yes—
27C2×#407C2212yes—
28C2×#407C2211yescharacteristic
29#2542—21no—
30#2542—21no—
31#2542—21no—
32#2542—21no—
33#2542C2212yes—
34#2542C2212yes—
35#2542C2212yes—
36#2542C2212yes—
37#2487C2211yescharacteristic
38#2487C2211yescharacteristic
39#2486C2211yescharacteristic
40#2486C2211yescharacteristic
41#2485C2212yes—
42#2485C2212yes—
43#2484—21no—
44#2483—21no—
45#2482—21no—
46#2405—21no—
47#2395—21no—
48#2395—21no—
49C2×#399—21no—
50C2×#399—21no—
51C4×#123—21no—
52C4×#123—21no—
53#2296C2212yes—
54C2×#390—21no—
55C2×#384—21no—
56#2280C2211yescharacteristic
57#2280C2212yes—
58C2×C4×C4⋊C4C2211yescharacteristic
59#2043C2214yescomplemented
60#2043C2214yescomplemented
61#2043C2214yescomplemented
62#2043C2214yescomplemented
63#2036C2214yescomplemented
64#2036C2214yescomplemented
65#2036C2214yescomplemented
66#2036C2214yescomplemented
67#2035C2214yescomplemented
68#2035C2214yescomplemented
69#2035C2214yescomplemented
70#2035C2214yescomplemented
71#1921C2214yescomplemented
72#1920C2214yescomplemented
73#1919C2214yescomplemented
74#1918C2214yescomplemented
75#1894C2214yescomplemented
76#1894C2214yescomplemented
77#1892C2214yescomplemented
78#1892C2214yescomplemented
79#1873C2214yescomplemented
80#1873C2214yescomplemented
81#1872C2214yescomplemented
82#1872C2214yescomplemented
83#1870C2212yes—
84#1870C2212yes—
85#1869C2212yes—
86#1869C2212yes—
87#1736C2212yes—
88#1736C2212yes—
89#1736C2212yes—
90#1728C2212yes—
91C23×Q8C2312yes—
92C23×D4D411yescharacteristic
93C24×C4C2311yescharacteristic
94C24×C4C2311yescharacteristic
95C22×M16—44no—
96C22×M16—42no—
97C22×M16C2312yes—
98C22×M16C2312yes—
99C22×M16C2312yes—
100C23×C8C2312yes—
101C2×C4⋊Q8—21no—
102C2×C4⋊Q8—21no—
103C2×C4⋊Q8—42no—
104C2×C4⋊Q8—42no—
105C2×C4⋊Q8C2312yes—
106C2×C4⋊Q8C2312yes—
107C2×#123—21no—
108C2×#123—21no—
109C2×C22⋊Q8—22no—
110C2×C22⋊Q8—22no—
111C2×C22⋊Q8—22no—
112C2×C22⋊Q8—22no—
113C2×C22⋊Q8—28no—
114C2×C22⋊Q8—28no—
115C2×C22⋊Q8—44no—
116C2×C22⋊Q8—44no—
117C2×C22⋊Q8C2314yes—
118C2×C22⋊Q8C2314yes—
119C2×C22⋊Q8C2314yes—
120C2×C22⋊Q8C2314yes—
121C2×C4×D4—42no—
122C2×C4×D4—42no—
123C2×C4×D4D411yescharacteristic
124C2×C4×D4D411yescharacteristic
125C2×C4×D4D411yescharacteristic
126C2×C4×D4D411yescharacteristic
127C2×C4×D4C2311yescharacteristic
128C2×C4×D4C2311yescharacteristic
129C2×C4×D4C2311yescharacteristic
130C2×C4×D4C2311yescharacteristic
131C2×#117—21no—
132C2×#117—21no—
133C2×#117—42no—
134C2×#117—42no—
135C2×#117C2312yes—
136C2×#117C2312yes—
137C2×#117C2312yes—
138C22×C4⋊C4—21no—
139C22×C4⋊C4—22no—
140C22×C4⋊C4—22no—
141C22×C4⋊C4—21no—
142C22×C4⋊C4D411yescharacteristic
143C22×C4⋊C4C2312yes—
144C22×C4⋊C4C2311yescharacteristic
145C22×C4⋊C4C2311yescharacteristic
146C22×C22⋊C4—22no—
147C22×C22⋊C4—22no—
148C22×C22⋊C4—21no—
149C22×C22⋊C4D411yescharacteristic
150C22×C22⋊C4D411yescharacteristic
151C22×C42—21no—
152C22×C42—21no—
153C22×C42C2311yescharacteristic
154#428—28no—
155C2×#107C2314yes—
156C2×#106C2314yes—
157#419—44no—
158#419—44no—
159#419—44no—
160#419—44no—
161C2×#103C2314yes—
162C2×#103C2314yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#103C2314yes—
167C2×#103C2314yes—
168C2×#103C2314yes—
169#407—44no—
170#407—42no—
171C2×C22⋊C8C2312yes—
172C2×C22⋊C8C2314yes—
173C2×C22⋊C8C2314yes—
174C2×C22⋊C8C2312yes—
175#400—21no—
176#400—21no—
177#399—22no—
178#399—22no—
179#399—22no—
180#399—22no—
181#399—22no—
182#399—22no—
183#399—22no—
184#399—22no—
185#399—21no—
186#399—21no—
187#398—21no—
188#398—21no—
189#397—21no—
190#397—21no—
191#397—22no—
192#397—22no—
193#394—22no—
194#394—22no—
195#390—22no—
196#390—22no—
197#390—22no—
198#390—22no—
199#389C2312yes—
200#389C2312yes—
201#389C2312yes—
202#389C2312yes—
203#388—22no—
204#388—22no—
205#387—22no—
206#387—22no—
207#386—21no—
208#386—21no—
209#385—22no—
210#385—22no—
211#385—21no—
212#385—21no—
213#384—22no—
214#384—22no—
215#384—22no—
216#384—22no—
217#381—21no—
218#381—22no—
219#381—21no—
220#381—21no—
221#380C2312yes—
222#380C2312yes—
223#380C2312yes—
224#380C2312yes—
225#380C2312yes—
226#380C2311yescharacteristic
227#380C2311yescharacteristic
228#379—22no—
229#379—21no—
230C4×C4⋊C4—22no—
231C4×C4⋊C4—22no—
232C4×C4⋊C4—21no—
233C4×C4⋊C4—21no—
234C4×C4⋊C4C2312yes—
235C4×C4⋊C4C2312yes—
236C4×C22⋊C4—21no—
237C4×C22⋊C4—22no—
238C4×C22⋊C4—22no—
239C4×C22⋊C4—21no—
240C2×#95—21no—
241#340C2314yes—
242#340C2314yes—
243#340C2314yes—
244#340C2314yes—
245#340C2314yes—
246#340C2314yes—
247#336C2314yes—
248#336C2314yes—
249C25C2×D411yescharacteristic
250C25C2×D411yescharacteristic
251C22×Q8—22no—
252C22×Q8—24no—
253C22×Q8—24no—
254C22×Q8—24no—
255C22×Q8—24no—
256C22×Q8—24no—
257C22×Q8—24no—
258C22×Q8C2414yes—
259C22×D4—24no—
260C22×D4—42no—
261C22×D4—42no—
262C22×D4C2×D411yescharacteristic
263C22×D4C2×D411yescharacteristic
264C22×D4C2×D411yescharacteristic
265C22×D4C2×D411yescharacteristic
266C23×C4—22no—
267C23×C4—24no—
268C23×C4—24no—
269C23×C4—22no—
270C23×C4—22no—
271C23×C4—22no—
272C23×C4—22no—
273C23×C4—24no—
274C23×C4—24no—
275C23×C4—22no—
276C23×C4—21no—
277C23×C4—21no—
278C23×C4C2×D411yescharacteristic
279C23×C4C2×D411yescharacteristic
280C23×C4C2×D411yescharacteristic
281C23×C4C2×D411yescharacteristic
282C23×C4C2×D411yescharacteristic
283C23×C4C2×D411yescharacteristic
284C23×C4C2×D411yescharacteristic
285C23×C4C2×D411yescharacteristic
286C23×C4C2411yescharacteristic
287C23×C4C2411yescharacteristic
288C23×C4C2411yescharacteristic
289C23×C4C2411yescharacteristic
290C23×C4C2411yescharacteristic
291C2×M16—24no—
292C2×M16—24no—
293C2×M16—24no—
294C2×M16—24no—
295C2×M16—24no—
296C2×M16—24no—
297C2×M16—44no—
298C2×M16—42no—
299C2×M16—416no—
300C22×C8—44no—
301C22×C8—42no—
302C22×C8C2414yes—
303C22×C8C2414yes—
304C4⋊Q8—42no—
305C4⋊Q8—42no—
306C4⋊Q8—42no—
307C4⋊Q8—42no—
308C4⋊Q8—44no—
309C4⋊Q8—44no—
310#123—44no—
311#123—44no—
312C22⋊Q8—28no—
313C22⋊Q8—28no—
314C22⋊Q8—28no—
315C22⋊Q8—28no—
316C22⋊Q8—44no—
317C22⋊Q8—44no—
318C22⋊Q8—44no—
319C22⋊Q8—44no—
320C22⋊Q8—48no—
321C22⋊Q8—48no—
322C22⋊Q8—48no—
323C22⋊Q8—48no—
324C4×D4—42no—
325C4×D4—42no—
326C4×D4—42no—
327C4×D4—42no—
328C4×D4—41no—
329C4×D4—41no—
330C4×D4—41no—
331C4×D4—41no—
332C4×D4—41no—
333C4×D4—41no—
334C4×D4—41no—
335C4×D4—41no—
336#117—24no—
337#117—24no—
338#117—24no—
339#117—24no—
340#117—42no—
341#117—42no—
342#117—44no—
343#117—44no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—24no—
346C2×C4⋊C4—24no—
347C2×C4⋊C4—24no—
348C2×C4⋊C4—24no—
349C2×C4⋊C4—24no—
350C2×C4⋊C4—22no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—41no—
361C2×C4⋊C4—41no—
362C2×C4⋊C4—41no—
363C2×C4⋊C4—41no—
364C2×C4⋊C4—42no—
365C2×C4⋊C4—48no—
366C2×C4⋊C4—48no—
367C2×C4⋊C4—44no—
368C2×C4⋊C4—44no—
369C2×C4⋊C4C2×D411yescharacteristic
370C2×C4⋊C4C2×D411yescharacteristic
371C2×C4⋊C4C2×D411yescharacteristic
372C2×C4⋊C4C2×D411yescharacteristic
373C2×C4⋊C4#4118yes—
374C2×C4⋊C4C2412yes—
375C2×C4⋊C4C2412yes—
376C2×C4⋊C4C2412yes—
377C2×C4⋊C4C2412yes—
378C2×C4⋊C4C2414yes—
379C2×C22⋊C4—22no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—24no—
382C2×C22⋊C4—24no—
383C2×C22⋊C4—24no—
384C2×C22⋊C4—24no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—21no—
387C2×C22⋊C4—21no—
388C2×C22⋊C4—22no—
389C2×C22⋊C4—22no—
390C2×C22⋊C4—22no—
391C2×C22⋊C4—22no—
392C2×C22⋊C4—22no—
393C2×C22⋊C4—42no—
394C2×C22⋊C4—42no—
395C2×C22⋊C4—48no—
396C2×C22⋊C4—48no—
397C2×C22⋊C4—44no—
398C2×C22⋊C4C2×D411yescharacteristic
399C2×C22⋊C4C2×D411yescharacteristic
400C2×C22⋊C4C2×D411yescharacteristic
401C2×C22⋊C4C2×D411yescharacteristic
402C2×C22⋊C4C2×D411yescharacteristic
403C2×C22⋊C4C2×D411yescharacteristic
404C2×C22⋊C4C2×D411yescharacteristic
405C2×C22⋊C4C2×D411yescharacteristic
406C2×C42—22no—
407C2×C42—22no—
408C2×C42—22no—
409C2×C42—22no—
410C2×C42—22no—
411C2×C42—22no—
412C2×C42—22no—
413C2×C42—44no—
414C2×C42—44no—
415C2×C42C2×D411yescharacteristic
416C2×C42C2×D411yescharacteristic
417C2×C42C2411yescharacteristic
418C2×C42C2411yescharacteristic
419#107—28no—
420#106—28no—
421#103—44no—
422#103—44no—
423#103—44no—
424#103—44no—
425#103—44no—
426#103—44no—
427#103—44no—
428#103—44no—
429C22⋊C8—42no—
430C22⋊C8—42no—
431C22⋊C8—44no—
432C22⋊C8—44no—
433#95—22no—
434#95—22no—
435#95—22no—
436#95—22no—
437#95—22no—
438#95—22no—
439#95—22no—
440#95—21no—
441#95—21no—
442#95—22no—
443#95—22no—
444#95—22no—
445#95—22no—
446C24—22no—
447C24—22no—
448C24—22no—
449C24—22no—
450C24—24no—
451C24—24no—
452C24—41no—
453C24—41no—
454C24—42no—
455C24—42no—
456C24C22×D411yescharacteristic
457C24C22×D411yescharacteristic
458C24C22×D411yescharacteristic
459C24C22×D411yescharacteristic
460C24C22×D411yescharacteristic
461C2×Q8—24no—
462C2×Q8—24no—
463C2×Q8—24no—
464C2×Q8—24no—
465C2×Q8—24no—
466C2×Q8—24no—
467C2×Q8—44no—
468C2×Q8—44no—
469C2×Q8—44no—
470C2×Q8—48no—
471C2×Q8—48no—
472C2×Q8—48no—
473C2×Q8—48no—
474C2×D4—22no—
475C2×D4—22no—
476C2×D4—22no—
477C2×D4—22no—
478C2×D4—22no—
479C2×D4—41no—
480C2×D4—41no—
481C2×D4—41no—
482C2×D4—41no—
483C2×D4—41no—
484C2×D4—41no—
485C2×D4—416no—
486C2×D4#13714yes—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—28no—
494C22×C4—24no—
495C22×C4—24no—
496C22×C4—24no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—21no—
510C22×C4—21no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—21no—
518C22×C4—21no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—24no—
526C22×C4—42no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—48no—
530C22×C4—48no—
531C22×C4—44no—
532C22×C4—44no—
533C22×C4—44no—
534C22×C4—44no—
535C22×C4—42no—
536C22×C4—42no—
537C22×C4—42no—
538C22×C4—44no—
539C22×C4—44no—
540C22×C4—44no—
541C22×C4—42no—
542C22×C4—82no—
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×C4C22×D411yescharacteristic
552C22×C4C2×#4114yes—
553C22×C4H(5,𝔽2)12yes—
554C22×C4H(5,𝔽2)12yes—
555C22×C4H(5,𝔽2)14yes—
556C22×C4C2511yescharacteristic
557M16—48no—
558M16—48no—
559M16—48no—
560C2×C8—24no—
561C2×C8—24no—
562C2×C8—24no—
563C2×C8—24no—
564C2×C8—24no—
565C2×C8—24no—
566C2×C8—48no—
567C4⋊C4—28no—
568C4⋊C4—24no—
569C4⋊C4—22no—
570C4⋊C4—22no—
571C4⋊C4—22no—
572C4⋊C4—22no—
573C4⋊C4—22no—
574C4⋊C4—22no—
575C4⋊C4—22no—
576C4⋊C4—22no—
577C4⋊C4—41no—
578C4⋊C4—41no—
579C4⋊C4—41no—
580C4⋊C4—41no—
581C4⋊C4—48no—
582C4⋊C4—48no—
583C4⋊C4—48no—
584C4⋊C4—48no—
585C4⋊C4—42no—
586C4⋊C4—42no—
587C4⋊C4—44no—
588C4⋊C4—44no—
589C4⋊C4—44no—
590C4⋊C4—44no—
591C4⋊C4—44no—
592C4⋊C4—44no—
593C4⋊C4—82no—
594C4⋊C4—82no—
595C4⋊C4C2×#4118yes—
596C22⋊C4—41no—
597C22⋊C4—41no—
598C22⋊C4—41no—
599C22⋊C4—41no—
600C22⋊C4—41no—
601C22⋊C4—41no—
602C22⋊C4—41no—
603C22⋊C4—41no—
604C22⋊C4—48no—
605C22⋊C4—48no—
606C22⋊C4—48no—
607C22⋊C4—48no—
608C22⋊C4—44no—
609C22⋊C4—42no—
610C22⋊C4—44no—
611C22⋊C4—44no—
612C22⋊C4—44no—
613C22⋊C4—42no—
614C22⋊C4—44no—
615C22⋊C4—82no—
616C22⋊C4—82no—
617C22⋊C4—82no—
618C42—22no—
619C42—22no—
620C42—21no—
621C42—21no—
622C42—21no—
623C42—21no—
624C42—44no—
625C42—44no—
626C42—44no—
627C42—44no—
628C42—44no—
629C23—22no—
630C23—21no—
631C23—21no—
632C23—22no—
633C23—22no—
634C23—21no—
635C23—21no—
636C23—22no—
637C23—22no—
638C23—21no—
639C23—21no—
640C23—22no—
641C23—22no—
642C23—21no—
643C23—21no—
644C23—22no—
645C23—22no—
646C23—21no—
647C23—21no—
648C23—21no—
649C23—21no—
650C23—44no—
651C23—44no—
652C23—48no—
653C23—48no—
654C23—44no—
655C23—44no—
656C23—82no—
657C23—82no—
658C23—84no—
659C23—84no—
660C23#53412yes—
661C23#54614yes—
662C23C2×#13712yes—
663C23C2×#13712yes—
664C23C23×D411yescharacteristic
665Q8—44no—
666Q8—44no—
667Q8—44no—
668Q8—44no—
669Q8—88no—
670D4—44no—
671D4—44no—
672D4—44no—
673D4—44no—
674C2×C4—28no—
675C2×C4—21no—
676C2×C4—21no—
677C2×C4—21no—
678C2×C4—21no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
686C2×C4—21no—
687C2×C4—28no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—44no—
693C2×C4—416no—
694C2×C4—44no—
695C2×C4—44no—
696C2×C4—44no—
697C2×C4—44no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—41no—
707C2×C4—41no—
708C2×C4—41no—
709C2×C4—41no—
710C2×C4—41no—
711C2×C4—41no—
712C2×C4—41no—
713C2×C4—41no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—44no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—42no—
726C2×C4—42no—
727C2×C4—42no—
728C2×C4—42no—
729C2×C4—84no—
730C2×C4—84no—
731C2×C4—88no—
732C2×C4#53412yes—
733C2×C4#54018yes—
734C2×C4#54614yes—
735C2×C4#55914yes—
736C2×C4#56014yes—
737C2×C4C2×#13712yes—
738C2×C4#57512yes—
739C2×C4C22×#4112yes—
740C2×C4C2×H(5,𝔽2)11yescharacteristic
741C2×C4C2×H(5,𝔽2)12yes—
742C2×C4C2×H(5,𝔽2)11yescharacteristic
743C8—44no—
744C8—44no—
745C22—22no—
746C22—22no—
747C22—24no—
748C22—24no—
749C22—22no—
750C22—22no—
751C22—24no—
752C22—24no—
753C22—41no—
754C22—41no—
755C22—41no—
756C22—41no—
757C22—42no—
758C22—42no—
759C22—41no—
760C22—41no—
761C22—41no—
762C22—41no—
763C22—41no—
764C22—41no—
765C22—42no—
766C22—42no—
767C22—42no—
768C22—42no—
769C22—88no—
770C22—88no—
771C22#270914yes—
772C22C2×#53411yescharacteristic
773C22C2×#54612yes—
774C22C22×#13711yescharacteristic
775C22C2×#57511yescharacteristic
776C22#358612yes—
777C4—22no—
778C4—22no—
779C4—41no—
780C4—41no—
781C4—41no—
782C4—41no—
783C4—41no—
784C4—41no—
785C4—48no—
786C4—82no—
787C4—82no—
788C4—84no—
789C4—82no—
790C4—82no—
791C4#270914yes—
792C4C2×#54012yes—
793C4C2×#55911yescharacteristic
794C4C2×#56011yescharacteristic
795C2—24no—
796C2—42no—
797C2—42no—
798C2—81no—
799C2—81no—
800C2C2×#270911yescharacteristic
801C2#6075111yescharacteristic
802C2#6075411yescharacteristic
803C2#6115712yes—
804C2#6115912yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC23×D4D4
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
3. #32044C2semidirect
4. #32039C2semidirect
5. #32037C2semidirect
6. #32034C2semidirect
7. #32029C2semidirect
8. #32027C2semidirect
9. #23507C2semidirect
10. #23481C2semidirect
11. #23481C2semidirect
12. #21033C2semidirect
13. #20972C2semidirect
14. #20911C2semidirect
59. #2043C22semidirect
60. #2043C22semidirect
61. #2043C22semidirect
62. #2043C22semidirect
63. #2036C22semidirect
64. #2036C22semidirect
65. #2036C22semidirect
66. #2036C22semidirect
67. #2035C22semidirect
68. #2035C22semidirect
69. #2035C22semidirect
70. #2035C22semidirect
71. #1921C22semidirect
72. #1920C22semidirect
73. #1919C22semidirect
74. #1918C22semidirect
75. #1894C22semidirect
76. #1894C22semidirect
77. #1892C22semidirect
78. #1892C22semidirect
79. #1873C22semidirect
80. #1873C22semidirect
81. #1872C22semidirect
82. #1872C22semidirect

Maximal subgroups

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

subgroupindex
C2×#25422
#348092
#320442
#320392
#320372
#320342
#320292
#320272
#235072
#234812
#210332
#209722
#209112
#208982