Finite Group Databasebeta

← #7506771

Subgroups — #7506771

Order 512.

2012 conjugacy classes of subgroups.

The subgroup lattice has 800 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2500C211yesmaximal, characteristic, complemented
2#34742C211yesmaximal, characteristic, complemented
3#31948C214yesmaximal, complemented
4#31946C214yesmaximal, complemented
5#31944C214yesmaximal, complemented
6#31942C214yesmaximal, complemented
7#23733C211yesmaximal, characteristic, complemented
8#23658C211yesmaximal, characteristic, complemented
9#23628C211yesmaximal, characteristic, complemented
10#23618C211yesmaximal, characteristic, complemented
11#23480C211yesmaximal, characteristic, complemented
12#23391C211yesmaximal, characteristic
13#21236C211yesmaximal, characteristic, complemented
14#21049C211yesmaximal, characteristic, complemented
15#20928C211yesmaximal, characteristic, complemented
16#20910C211yesmaximal, characteristic, complemented
17#20845C211yesmaximal, characteristic, complemented
18#20765C211yesmaximal, characteristic, complemented
19#20648C211yesmaximal, characteristic, complemented
20C22×AGL(1,ℤ/8)C2211yescharacteristic
21C2×#525C2211yescharacteristic
22C22×#121C2211yescharacteristic
23C2×C4×#41C2211yescharacteristic
24C22×#117C2211yescharacteristic
25C2×#428C2211yescharacteristic
26C2×#428C2211yescharacteristic
27C2×#428C2211yescharacteristic
28C2×#423C2211yescharacteristic
29C2×#417C2211yescharacteristic
30C2×#417C2211yescharacteristic
31C2×#417C2211yescharacteristic
32C2×#418C2211yescharacteristic
33C2×#418C2211yescharacteristic
34C2×#418C2211yescharacteristic
35C2×#407C2211yescharacteristic
36C2×#407C2211yescharacteristic
37C2×C4×M16C2211yescharacteristic
38#2500—22no—
39#2500—22no—
40#2500C2214yes—
41#2500C2214yes—
42#2423C2212yescomplemented
43#2422C2212yescomplemented
44#2421C2212yescomplemented
45#2420C2212yescomplemented
46#2419—22no—
47#2418—22no—
48#2395—22no—
49C2×#394—22no—
50C4×#123—22no—
51#2297C2211yescharacteristic
52#2296C2211yescharacteristic
53C2×#390C2211yescharacteristic
54C2×#390C2211yescharacteristic
55C2×#388—22no—
56#2285C2211yescharacteristic
57C2×#384C2211yescharacteristic
58C2×#382C2211yescharacteristic
59#2280C2211yescharacteristic
60C2×C4×C22⋊C4C2211yescharacteristic
61#2097C2212yescomplemented
62#2097C2212yescomplemented
63#2092C2212yescomplemented
64#2092C2212yescomplemented
65#2084C2214yescomplemented
66#2083C2214yescomplemented
67#2073C2214yescomplemented
68#2071C2214yescomplemented
69#2067C2214yescomplemented
70#2065C2214yescomplemented
71#2034C2214yes—
72#2033C2214yes—
73#2000C2214yes—
74#1999C2214yes—
75#1973C2212yescomplemented
76#1972C2212yescomplemented
77#1970C2212yescomplemented
78#1968C2212yescomplemented
79#1924C2214yescomplemented
80#1923C2214yescomplemented
81#1880C2214yescomplemented
82#1879C2214yescomplemented
83#1875C2214yescomplemented
84#1873C2214yescomplemented
85#1854C2214yescomplemented
86#1854C2214yescomplemented
87#1836C2214yescomplemented
88#1835C2214yescomplemented
89#1803C2214yescomplemented
90#1802C2214yescomplemented
91#1736C2211yescharacteristic
92#1736C2211yescharacteristic
93#1736C2211yescharacteristic
94#1736C2211yescharacteristic
95#1736C2211yescharacteristic
96#1736C2211yescharacteristic
97#1728C2211yescharacteristic
98#1728C2211yescharacteristic
99C22×#41C2311yescharacteristic
100C23×D4—21no—
101C23×D4C2311yescharacteristic
102C24×C4C2311yescharacteristic
103C2×AGL(1,ℤ/8)—24no—
104C2×AGL(1,ℤ/8)—24no—
105C2×AGL(1,ℤ/8)—42no—
106C22×SD16C2312yes—
107C22×D8C2312yes—
108C22×M16C2311yescharacteristic
109C22×M16C2311yescharacteristic
110C22×M16C2311yescharacteristic
111C22×M16C2311yescharacteristic
112#525—24no—
113#525—42no—
114C2×#123—21no—
115C2×#123—22no—
116C2×C22⋊Q8C2312yes—
117C2×#121—22no—
118C2×#121—42no—
119C2×#121—42no—
120C2×#121C2312yes—
121C2×#121C2314yes—
122C2×#120—21no—
123C4×#41—24no—
124C4×#41—42no—
125C2×C4×Q8C2312yes—
126C2×C4×D4—22no—
127C2×C4×D4—22no—
128C2×C4×D4C2312yes—
129C2×#117—22no—
130C2×#117—21no—
131C2×#117—42no—
132C2×#117—42no—
133C2×#117C2311yescharacteristic
134C2×#117C2311yescharacteristic
135C2×#117C2311yescharacteristic
136C2×#117C2314yes—
137C22×C4⋊C4—22no—
138C22×C4⋊C4C2311yescharacteristic
139C22×C4⋊C4C2311yescharacteristic
140C22×C4⋊C4C2311yescharacteristic
141C22×C22⋊C4—21no—
142C22×C22⋊C4—22no—
143C22×C22⋊C4—21no—
144C22×C22⋊C4—22no—
145C22×C22⋊C4D412yes—
146C22×C42—21no—
147C22×C42—21no—
148C22×C42C2311yescharacteristic
149C22×C42C2311yescharacteristic
150#428—42no—
151#428—42no—
152#428—42no—
153C2×#107C2312yes—
154C2×#107C2312yes—
155C2×#107C2312yes—
156C2×#106C2312yes—
157C2×#106C2312yes—
158C2×#106C2312yes—
159#423—42no—
160C2×C4⋊C8C2314yes—
161#418—42no—
162#418—42no—
163#418—42no—
164#417—42no—
165#417—42no—
166#417—42no—
167C2×#103C2312yes—
168C2×#103C2312yes—
169C2×#103C2312yes—
170C2×#102C2312yes—
171C2×#102C2312yes—
172C2×#102C2312yes—
173C2×#102C2314yes—
174C2×#102C2312yes—
175C2×#102C2314yes—
176C2×#102C2312yes—
177#407—24no—
178#407—42no—
179C2×C22⋊C8C2314yes—
180C2×C22⋊C8C2314yes—
181C4×M16—24no—
182C2×#97C2312yes—
183C2×C4×C8C2312yes—
184#400—22no—
185#399—22no—
186#398—22no—
187#397—22no—
188#397—22no—
189#397—22no—
190#394—24no—
191#394—24no—
192#394—24no—
193#394—24no—
194#394—22no—
195#394—22no—
196#391C2311yescharacteristic
197#391C2311yescharacteristic
198#390—21no—
199#390—22no—
200#390—21no—
201#390C2314yes—
202#390C2312yes—
203#390C2312yes—
204#390C2311yescharacteristic
205#390C2311yescharacteristic
206#389C2312yes—
207#389C2312yes—
208#388—22no—
209#388—22no—
210#388—24no—
211#388—24no—
212#388—24no—
213#388—24no—
214#387—22no—
215#387—22no—
216#386—22no—
217#386—22no—
218#385—22no—
219#385—22no—
220#384—21no—
221#384—21no—
222#384C2314yes—
223#384C2312yes—
224#382—22no—
225#382C2312yes—
226#382C2312yes—
227#382C2312yes—
228#381—21no—
229#381—22no—
230#380—22no—
231#380C2312yes—
232#380C2312yes—
233#379—21no—
234C4×C4⋊C4—21no—
235C4×C4⋊C4—22no—
236C4×C4⋊C4—21no—
237C4×C22⋊C4—22no—
238C4×C22⋊C4—22no—
239C4×C22⋊C4D412yes—
240C4×C22⋊C4D412yes—
241C4×C22⋊C4C2312yes—
242C4×C22⋊C4C2312yes—
243C2×#95—22no—
244C2×#95D412yes—
245#340C2314yes—
246#340C2314yes—
247#340C2314yes—
248#340C2314yes—
249#340C2314yes—
250#340C2314yes—
251#336C2312yes—
252#336C2312yes—
253#336C2314yes—
254C25—21no—
255C25C2×D411yescharacteristic
256C2×#41—22no—
257C2×#41—22no—
258C2×#41—22no—
259C2×#41—22no—
260C2×#41—22no—
261C2×#41#4114yes—
262C22×Q8C2411yescharacteristic
263C22×D4—21no—
264C22×D4—22no—
265C22×D4—24no—
266C22×D4—21no—
267C22×D4—22no—
268C22×D4—22no—
269C22×D4—22no—
270C22×D4—22no—
271C22×D4—22no—
272C22×D4—22no—
273C22×D4—44no—
274C22×D4—84no—
275C22×D4C2412yes—
276C22×D4C2411yescharacteristic
277C23×C4—21no—
278C23×C4—22no—
279C23×C4—22no—
280C23×C4—22no—
281C23×C4—22no—
282C23×C4—22no—
283C23×C4—22no—
284C23×C4—21no—
285C23×C4—21no—
286C23×C4—21no—
287C23×C4—22no—
288C23×C4C2×D411yescharacteristic
289C23×C4C2×D412yes—
290C23×C4C2×D412yes—
291C23×C4C2×D412yes—
292C23×C4C2412yes—
293C23×C4C2411yescharacteristic
294AGL(1,ℤ/8)—416no—
295C2×SD16—24no—
296C2×SD16—24no—
297C2×SD16—42no—
298C2×D8—24no—
299C2×D8—24no—
300C2×D8—42no—
301C2×M16—22no—
302C2×M16—22no—
303C2×M16—22no—
304C2×M16—22no—
305C2×M16—22no—
306C2×M16—22no—
307C2×M16—22no—
308C2×M16—22no—
309C2×M16—22no—
310C2×M16—22no—
311C2×M16—22no—
312C2×M16#4114yes—
313C22×C8C2412yes—
314C22×C8C2412yes—
315C22×C8C2412yes—
316C22×C8C2412yes—
317#123—48no—
318#123—44no—
319C22⋊Q8—24no—
320C22⋊Q8—42no—
321#121—24no—
322#121—44no—
323#121—44no—
324#121—42no—
325#121—48no—
326#120—44no—
327C4×Q8—24no—
328C4×Q8—42no—
329C4×D4—24no—
330C4×D4—42no—
331C4×D4—48no—
332C4×D4—48no—
333#117—22no—
334#117—22no—
335#117—22no—
336#117—22no—
337#117—22no—
338#117—22no—
339#117—44no—
340#117—44no—
341#117—44no—
342#117—48no—
343C2×C4⋊C4—22no—
344C2×C4⋊C4—22no—
345C2×C4⋊C4—22no—
346C2×C4⋊C4—22no—
347C2×C4⋊C4—22no—
348C2×C4⋊C4—22no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—22no—
354C2×C4⋊C4—22no—
355C2×C4⋊C4—22no—
356C2×C4⋊C4—24no—
357C2×C4⋊C4—24no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—22no—
360C2×C4⋊C4—84no—
361C2×C4⋊C4C2412yes—
362C2×C4⋊C4C2412yes—
363C2×C4⋊C4C2412yes—
364C2×C4⋊C4C2412yes—
365C2×C4⋊C4C2412yes—
366C2×C4⋊C4C2411yescharacteristic
367C2×C4⋊C4C2411yescharacteristic
368C2×C22⋊C4—24no—
369C2×C22⋊C4—21no—
370C2×C22⋊C4—21no—
371C2×C22⋊C4—21no—
372C2×C22⋊C4—22no—
373C2×C22⋊C4—22no—
374C2×C22⋊C4—24no—
375C2×C22⋊C4—24no—
376C2×C22⋊C4—24no—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—22no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—24no—
382C2×C22⋊C4—24no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—44no—
385C2×C22⋊C4—48no—
386C2×C22⋊C4—44no—
387C2×C22⋊C4—44no—
388C2×C22⋊C4—84no—
389C2×C22⋊C4C2×D412yes—
390C2×C22⋊C4C2×D412yes—
391C2×C22⋊C4C2×D412yes—
392C2×C22⋊C4C2×D412yes—
393C2×C42—22no—
394C2×C42—22no—
395C2×C42—22no—
396C2×C42—22no—
397C2×C42—21no—
398C2×C42—24no—
399C2×C42—21no—
400C2×C42—21no—
401C2×C42—22no—
402C2×C42—44no—
403C2×C42—44no—
404C2×C42C2×D411yescharacteristic
405C2×C42C2×D412yes—
406C2×C42C2×D411yescharacteristic
407C2×C42C2412yes—
408C2×C42C2411yescharacteristic
409C2×C42C2411yescharacteristic
410#107—42no—
411#107—42no—
412#107—42no—
413#106—42no—
414#106—42no—
415#106—42no—
416C4⋊C8—44no—
417#103—42no—
418#103—42no—
419#103—42no—
420#102—42no—
421#102—42no—
422#102—42no—
423#102—42no—
424#102—42no—
425#102—44no—
426#102—44no—
427C22⋊C8—28no—
428C22⋊C8—44no—
429#97—24no—
430C4×C8—24no—
431#95—24no—
432#95—24no—
433#95—22no—
434#95—22no—
435#95—22no—
436#95—22no—
437#95—22no—
438#95—22no—
439#95—22no—
440#95—22no—
441#95C2×D412yes—
442#95C2×D412yes—
443#95C2×D412yes—
444#95C2×D412yes—
445C24—22no—
446C24—21no—
447C24—22no—
448C24—22no—
449C24—22no—
450C24—42no—
451C24—42no—
452C24—44no—
453C24—44no—
454C24—42no—
455C24—42no—
456C24—42no—
457C24C22×D412yes—
458C24C22×D411yescharacteristic
459#41—28no—
460#41—28no—
461#41—44no—
462#41—44no—
463C2×Q8—21no—
464C2×Q8—21no—
465C2×Q8—21no—
466C2×Q8—21no—
467C2×Q8—21no—
468C2×Q8C2×#4112yes—
469C2×D4—24no—
470C2×D4—21no—
471C2×D4—22no—
472C2×D4—22no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—22no—
477C2×D4—22no—
478C2×D4—22no—
479C2×D4—21no—
480C2×D4—22no—
481C2×D4—42no—
482C2×D4—42no—
483C2×D4—44no—
484C2×D4—48no—
485C2×D4—44no—
486C2×D4—42no—
487C2×D4—44no—
488C2×D4—44no—
489C2×D4—42no—
490C2×D4—42no—
491C2×D4—44no—
492C2×D4—44no—
493C2×D4—82no—
494C2×D4—84no—
495C2×D4—84no—
496C2×D4—816no—
497C2×D4C2×#4112yes—
498C22×C4—22no—
499C22×C4—24no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—21no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—21no—
516C22×C4—21no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—42no—
523C22×C4—42no—
524C22×C4—42no—
525C22×C4—44no—
526C22×C4—42no—
527C22×C4—44no—
528C22×C4—44no—
529C22×C4—42no—
530C22×C4—44no—
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—82no—
540C22×C4C22×D412yes—
541C22×C4C22×D412yes—
542C22×C4C22×D412yes—
543C22×C4C22×D412yes—
544C22×C4C22×D412yes—
545C22×C4C22×D411yescharacteristic
546C22×C4C2×#4112yes—
547C22×C4C2×#4112yes—
548C22×C4H(5,𝔽2)12yes—
549C22×C4H(5,𝔽2)12yes—
550C22×C4H(5,𝔽2)12yes—
551C22×C42−1+412yes—
552C22×C4C2511yescharacteristic
553SD16—48no—
554D8—48no—
555M16—28no—
556M16—44no—
557M16—44no—
558M16—44no—
559C2×C8—22no—
560C2×C8—22no—
561C2×C8—22no—
562C2×C8—22no—
563C2×C8—22no—
564C2×C8—22no—
565C2×C8—22no—
566C2×C8—22no—
567C2×C8—22no—
568C2×C8—22no—
569C2×C8—22no—
570C2×C8C2×#4114yes—
571C4⋊C4—22no—
572C4⋊C4—22no—
573C4⋊C4—21no—
574C4⋊C4—21no—
575C4⋊C4—22no—
576C4⋊C4—22no—
577C4⋊C4—22no—
578C4⋊C4—22no—
579C4⋊C4—22no—
580C4⋊C4—21no—
581C4⋊C4—22no—
582C4⋊C4—22no—
583C4⋊C4—22no—
584C4⋊C4—21no—
585C4⋊C4—44no—
586C4⋊C4—44no—
587C4⋊C4—44no—
588C4⋊C4—42no—
589C4⋊C4—42no—
590C4⋊C4—42no—
591C4⋊C4—44no—
592C4⋊C4—82no—
593C4⋊C4—82no—
594C4⋊C4—84no—
595C4⋊C4—84no—
596C22⋊C4—24no—
597C22⋊C4—24no—
598C22⋊C4—42no—
599C22⋊C4—42no—
600C22⋊C4—44no—
601C22⋊C4—44no—
602C22⋊C4—44no—
603C22⋊C4—48no—
604C22⋊C4—48no—
605C22⋊C4—44no—
606C22⋊C4—48no—
607C22⋊C4—44no—
608C22⋊C4—42no—
609C22⋊C4—42no—
610C22⋊C4—42no—
611C22⋊C4—48no—
612C22⋊C4—82no—
613C22⋊C4—84no—
614C22⋊C4—84no—
615C22⋊C4—82no—
616C42—22no—
617C42—22no—
618C42—24no—
619C42—21no—
620C42—21no—
621C42—22no—
622C42—22no—
623C42—21no—
624C42—21no—
625C42—44no—
626C42—48no—
627C42—42no—
628C42—42no—
629C42—42no—
630C23—22no—
631C23—22no—
632C23—22no—
633C23—22no—
634C23—22no—
635C23—22no—
636C23—22no—
637C23—22no—
638C23—22no—
639C23—22no—
640C23—44no—
641C23—44no—
642C23—42no—
643C23—41no—
644C23—41no—
645C23—44no—
646C23—42no—
647C23—44no—
648C23—42no—
649C23—42no—
650C23—42no—
651C23—44no—
652C23—84no—
653C23—84no—
654C23—84no—
655C23—88no—
656C23—84no—
657C23—88no—
658C23—84no—
659C23#53512yes—
660C23#54612yes—
661C23#54712yes—
662C23C23×D411yescharacteristic
663Q8—22no—
664Q8—22no—
665Q8—41no—
666Q8—41no—
667D4—22no—
668D4—22no—
669D4—48no—
670D4—42no—
671D4—41no—
672D4—42no—
673D4—42no—
674D4—41no—
675D4—42no—
676D4—88no—
677D4—816no—
678D4—84no—
679C2×C4—22no—
680C2×C4—22no—
681C2×C4—22no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—22no—
685C2×C4—22no—
686C2×C4—22no—
687C2×C4—22no—
688C2×C4—22no—
689C2×C4—22no—
690C2×C4—22no—
691C2×C4—22no—
692C2×C4—22no—
693C2×C4—22no—
694C2×C4—48no—
695C2×C4—41no—
696C2×C4—41no—
697C2×C4—44no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—48no—
702C2×C4—48no—
703C2×C4—42no—
704C2×C4—44no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—44no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
711C2×C4—41no—
712C2×C4—41no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—44no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—88no—
721C2×C4—84no—
722C2×C4—84no—
723C2×C4—84no—
724C2×C4—84no—
725C2×C4#53512yes—
726C2×C4#53914yes—
727C2×C4#54014yes—
728C2×C4#54612yes—
729C2×C4#54712yes—
730C2×C4#55114yes—
731C2×C4#56214yes—
732C2×C4#57514yes—
733C2×C4C22×#4111yescharacteristic
734C2×C4C22×#4111yescharacteristic
735C2×C4C2×H(5,𝔽2)11yescharacteristic
736C2×C4C2×H(5,𝔽2)11yescharacteristic
737C2×C4C2×H(5,𝔽2)11yescharacteristic
738C2×C4C2×2−1+411yescharacteristic
739C8—24no—
740C8—42no—
741C8—42no—
742C8—42no—
743C22—24no—
744C22—22no—
745C22—22no—
746C22—24no—
747C22—42no—
748C22—42no—
749C22—42no—
750C22—42no—
751C22—42no—
752C22—42no—
753C22—44no—
754C22—42no—
755C22—42no—
756C22—88no—
757C22—82no—
758C22—81no—
759C22—81no—
760C22—84no—
761C22—82no—
762C22—82no—
763C22—82no—
764C22—84no—
765C22—168no—
766C22#270614yes—
767C22C2×#53511yescharacteristic
768C22C2×#54611yescharacteristic
769C22C2×#54711yescharacteristic
770C22C2×#57512yes—
771C22#358512yes—
772C4—24no—
773C4—42no—
774C4—42no—
775C4—42no—
776C4—42no—
777C4—42no—
778C4—81no—
779C4—82no—
780C4—81no—
781C4—82no—
782C4—82no—
783C4—82no—
784C4—82no—
785C4#270614yes—
786C4C2×#53911yescharacteristic
787C4C2×#54011yescharacteristic
788C4C2×#55111yescharacteristic
789C4C2×#56211yescharacteristic
790C2—24no—
791C2—82no—
792C2—82no—
793C2—162no—
794C2C2×#270611yescharacteristic
795C2#6080211yescharacteristic
796C2#6080611yescharacteristic
797C2#6116412yes—
798C2#6125612yes—
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#23391C2
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C2×C4×C22⋊C4 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. C2×#2500C2semidirect
2. #34742C2semidirect
3. #31948C2semidirect
4. #31946C2semidirect
5. #31944C2semidirect
6. #31942C2semidirect
7. #23733C2semidirect
8. #23658C2semidirect
9. #23628C2semidirect
10. #23618C2semidirect
11. #23480C2semidirect
13. #21236C2semidirect
14. #21049C2semidirect
15. #20928C2semidirect
16. #20910C2semidirect
17. #20845C2semidirect
18. #20765C2semidirect
19. #20648C2semidirect
42. #2423C22semidirect
43. #2422C22semidirect
44. #2421C22semidirect
45. #2420C22semidirect
61. #2097C22semidirect
62. #2097C22semidirect
63. #2092C22semidirect
64. #2092C22semidirect
65. #2084C22semidirect
66. #2083C22semidirect
67. #2073C22semidirect
68. #2071C22semidirect
69. #2067C22semidirect
70. #2065C22semidirect
75. #1973C22semidirect
76. #1972C22semidirect
77. #1970C22semidirect
78. #1968C22semidirect
79. #1924C22semidirect
80. #1923C22semidirect
81. #1880C22semidirect
82. #1879C22semidirect
83. #1875C22semidirect
84. #1873C22semidirect
85. #1854C22semidirect
86. #1854C22semidirect
87. #1836C22semidirect
88. #1835C22semidirect
89. #1803C22semidirect
90. #1802C22semidirect

Maximal subgroups

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

subgroupindex
C2×#25002
#347422
#319482
#319462
#319442
#319422
#237332
#236582
#236282
#236182
#234802
#233912
#212362
#210492
#209282
#209102
#208452
#207652
#206482