Finite Group Databasebeta

← #6493828

Subgroups — #6493828

Order 512.

1784 conjugacy classes of subgroups.

The subgroup lattice has 808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35294C211yesmaximal, characteristic, complemented
2#35285C211yesmaximal, characteristic
3#33286C211yesmaximal, characteristic, complemented
4#33277C211yesmaximal, characteristic, complemented
5#33230C211yesmaximal, characteristic, complemented
6#33226C211yesmaximal, characteristic, complemented
7#30219C211yesmaximal, characteristic, complemented
8#30219C211yesmaximal, characteristic, complemented
9#30204C211yesmaximal, characteristic, complemented
10#30203C211yesmaximal, characteristic, complemented
11#27786C214yesmaximal, complemented
12#27766C214yesmaximal, complemented
13#27281C214yesmaximal, complemented
14#27271C214yesmaximal, complemented
15#21864C211yesmaximal, characteristic, complemented
16#21803C211yesmaximal, characteristic
17#21409C211yesmaximal, characteristic, complemented
18#21203C211yesmaximal, characteristic
19#20472C211yesmaximal, characteristic, complemented
20C2×#533C2211yescharacteristic
21C22×#127C2211yescharacteristic
22C2×#489C2214yescomplemented
23C2×#488C2214yescomplemented
24C2×#431C2211yescharacteristic
25C2×#418C2214yes—
26C2×C4×M16C2211yescharacteristic
27#2868C2211yescharacteristic, complemented
28#2859C2211yescharacteristic, complemented
29#2859C2211yescharacteristic, complemented
30#2859C2211yescharacteristic, complemented
31#2858C2211yescharacteristic
32#2858C2211yescharacteristic
33#2858C2211yescharacteristic
34#2858C2211yescharacteristic
35#2641—21no—
36#2641—21no—
37#2629—21no—
38#2628—21no—
39#2570—21no—
40#2570C2212yescomplemented
41#2550—21no—
42#2550C2212yescomplemented
43#2548—21no—
44#2548—21no—
45#2548C2212yes—
46#2548C2212yes—
47#2441—21no—
48#2441C2212yes—
49#2439—21no—
50#2439C2212yes—
51#2435—21no—
52#2435—21no—
53#2435C2212yes—
54#2435C2212yes—
55#2331—21no—
56#2330—21no—
57#2309—21no—
58#2309—21no—
59#2285C2211yescharacteristic
60#2285C2211yescharacteristic
61C4×#117C2211yescharacteristic
62#2073C2214yescomplemented
63#2071C2214yescomplemented
64#2042C2214yescomplemented
65#2042C2214yescomplemented
66#2042C2214yescomplemented
67#2042C2214yescomplemented
68#2025C2214yescomplemented
69#2023C2214yescomplemented
70#1990C2211yescharacteristic, complemented
71#1990C2211yescharacteristic, complemented
72#1990C2211yescharacteristic, complemented
73#1990C2211yescharacteristic, complemented
74#1982C2214yes—
75#1961C2214yes—
76#1959C2214yescomplemented
77#1958C2214yescomplemented
78#1957C2211yescharacteristic
79#1957C2211yescharacteristic
80#1957C2211yescharacteristic
81#1957C2211yescharacteristic
82#1957C2211yescharacteristic
83#1957C2211yescharacteristic
84#1957C2211yescharacteristic
85#1957C2211yescharacteristic
86#1956C2211yescharacteristic, complemented
87#1956C2211yescharacteristic, complemented
88#1956C2211yescharacteristic, complemented
89#1956C2211yescharacteristic, complemented
90#1936C2214yescomplemented
91#1936C2214yescomplemented
92#1934C2214yescomplemented
93#1934C2214yescomplemented
94#1894C2214yes—
95#1873C2214yes—
96#1805C2214yescomplemented
97#1786C2214yes—
98#1771C2212yescomplemented
99#1771C2212yescomplemented
100#1763C2214yescomplemented
101#1753C2212yes—
102#1753C2212yes—
103#1744C2211yescharacteristic, complemented
104#1744C2211yescharacteristic, complemented
105C4×#97C2211yescharacteristic, complemented
106C42×C8C2211yescharacteristic, complemented
107C23×D4—21no—
108C23×D4—21no—
109C23×D4C2312yes—
110C22×M16C2312yes—
111#533—24no—
112#533—24no—
113C2×C4⋊Q8—21no—
114C2×C4⋊Q8—21no—
115C2×C4⋊Q8C2311yescharacteristic
116C2×C4⋊Q8C2311yescharacteristic
117C2×C4⋊Q8C2312yes—
118C2×#127—21no—
119C2×#127—21no—
120C2×#127—24no—
121C2×#127—24no—
122C2×#127C2311yescharacteristic
123C2×#127C2311yescharacteristic
124C2×#127C2312yes—
125C2×#125—21no—
126C2×#125—21no—
127C2×#125—21no—
128C2×#125C2312yes—
129C2×#124—21no—
130C2×#124—21no—
131C2×#124—21no—
132C2×#124—21no—
133C2×#124C2312yes—
134C2×#124C2312yes—
135C2×#124C2312yes—
136C2×#124C2312yes—
137C2×C22⋊Q8—21no—
138C2×C22⋊Q8C2312yes—
139C2×C4×Q8—21no—
140C2×C4×Q8C2312yes—
141C2×#117—21no—
142C2×#117—21no—
143C2×#117D411yescharacteristic
144C2×#117D411yescharacteristic
145C2×#117C2312yes—
146C22×C42C2311yescharacteristic
147#489—48no—
148#488—48no—
149#431—24no—
150C2×C4⋊C8C2312yes—
151#418—48no—
152C2×#103C2314yes—
153C2×#103C2314yes—
154C2×#103C2314yes—
155C2×#103C2314yes—
156C2×#102C2314yes—
157C2×#102C2314yes—
158C2×#102C2314yes—
159C2×#102C2314yes—
160C2×#102C2314yes—
161C2×#102C2314yes—
162C2×#102C2314yes—
163C2×#102C2314yes—
164C2×C22⋊C8C2312yes—
165C4×M16—24no—
166C2×#97C2312yes—
167C2×#97C2312yes—
168C2×#97C2312yes—
169C2×C4×C8C2311yescharacteristic
170C2×C4×C8C2311yescharacteristic
171C2×C4×C8C2312yes—
172C2×C4×C8C2311yescharacteristic
173C2×C4×C8C2311yescharacteristic
174C2×C4×C8C2312yes—
175#400—22no—
176#399—22no—
177#398—22no—
178#398—22no—
179#396—22no—
180#396—22no—
181#395—22no—
182#394—22no—
183#394—22no—
184#394—22no—
185#394—22no—
186#394—22no—
187#394—22no—
188#394—22no—
189#394—22no—
190#393—22no—
191#391—22no—
192#391—22no—
193#390—22no—
194#390—22no—
195#390—22no—
196#390—22no—
197#390—21no—
198#390—21no—
199#390—21no—
200#390—21no—
201#390—21no—
202#390—21no—
203#390—21no—
204#390—21no—
205#390—21no—
206#390—21no—
207#390—21no—
208#390—21no—
209#390C2312yes—
210#390C2312yes—
211#390C2312yes—
212#390C2312yes—
213#389—21no—
214#389—21no—
215#389—21no—
216#389—21no—
217#389—21no—
218#389—21no—
219#389—21no—
220#389—21no—
221#389—22no—
222#389—22no—
223#389C2312yes—
224#389C2312yes—
225#389C2312yes—
226#389C2312yes—
227#387—22no—
228#387—22no—
229#387—22no—
230#387—22no—
231#384—21no—
232#384—21no—
233#384C2312yes—
234#384C2311yescharacteristic
235#384C2311yescharacteristic
236#384C2311yescharacteristic
237#384C2311yescharacteristic
238#382—21no—
239#382—21no—
240#382—21no—
241#382C2312yes—
242#382C2312yes—
243#380—21no—
244#380—21no—
245#380—21no—
246#380C2312yes—
247#379—22no—
248#379—22no—
249#379—22no—
250#379—22no—
251C4×C4⋊C4—21no—
252C4×C4⋊C4—21no—
253C4×C4⋊C4—21no—
254C4×C4⋊C4D411yescharacteristic
255C4×C4⋊C4D411yescharacteristic
256C4×C4⋊C4C2312yes—
257C4×C4⋊C4C2311yescharacteristic
258C4×C4⋊C4C2311yescharacteristic
259C4×C22⋊C4D411yescharacteristic
260C4×C22⋊C4D411yescharacteristic
261C4×C22⋊C4C2311yescharacteristic
262C4×C22⋊C4C2311yescharacteristic
263#376D411yescharacteristic
264#376D411yescharacteristic
265C43C2311yescharacteristic
266C43C2311yescharacteristic
267#340C2314yes—
268#340C2314yes—
269#340C2314yes—
270#340C2314yes—
271#336C2312yes—
272#336C2312yes—
273#336C2312yes—
274#336C2312yes—
275C25—22no—
276C22×Q8—21no—
277C22×Q8—22no—
278C22×Q8C2412yes—
279C22×D4—21no—
280C22×D4—21no—
281C22×D4—22no—
282C22×D4—21no—
283C22×D4—21no—
284C22×D4—22no—
285C22×D4—22no—
286C22×D4—24no—
287C22×D4—24no—
288C22×D4—44no—
289C22×D4—44no—
290C22×D4—44no—
291C22×D4—44no—
292C22×D4—44no—
293C22×D4—44no—
294C22×D4—82no—
295C22×D4—82no—
296C22×D4C2412yes—
297C22×D4C2412yes—
298C23×C4C2×D411yescharacteristic
299C23×C4C2×D411yescharacteristic
300C23×C4C2411yescharacteristic
301C2×M16—24no—
302C2×M16—24no—
303C2×M16—42no—
304C22×C8C2412yes—
305C22×C8C2412yes—
306C22×C8C2412yes—
307C22×C8C2412yes—
308C4⋊Q8—22no—
309C4⋊Q8—22no—
310C4⋊Q8—22no—
311C4⋊Q8—22no—
312C4⋊Q8—44no—
313C4⋊Q8—44no—
314C4⋊Q8—82no—
315#127—22no—
316#127—22no—
317#127—22no—
318#127—22no—
319#127—24no—
320#127—24no—
321#127—44no—
322#127—44no—
323#125—44no—
324#125—44no—
325#125—44no—
326#125—82no—
327#124—44no—
328#124—44no—
329#124—44no—
330#124—44no—
331#124—82no—
332#124—82no—
333#124—82no—
334#124—82no—
335C22⋊Q8—24no—
336C22⋊Q8—24no—
337C22⋊Q8—44no—
338C4×Q8—24no—
339C4×Q8—24no—
340C4×Q8—44no—
341#117—42no—
342#117—42no—
343#117—44no—
344#117—44no—
345#117—82no—
346C2×C4⋊C4—21no—
347C2×C4⋊C4—21no—
348C2×C4⋊C4—21no—
349C2×C4⋊C4—21no—
350C2×C4⋊C4—21no—
351C2×C4⋊C4—22no—
352C2×C4⋊C4—22no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—22no—
357C2×C4⋊C4—22no—
358C2×C4⋊C4—21no—
359C2×C4⋊C4—21no—
360C2×C4⋊C4—22no—
361C2×C4⋊C4—21no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—22no—
364C2×C4⋊C4—22no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—22no—
367C2×C4⋊C4—22no—
368C2×C4⋊C4C2×D411yescharacteristic
369C2×C4⋊C4C2×D411yescharacteristic
370C2×C4⋊C4C2×D411yescharacteristic
371C2×C4⋊C4C2×D411yescharacteristic
372C2×C4⋊C4C2412yes—
373C2×C4⋊C4C2412yes—
374C2×C4⋊C4C2412yes—
375C2×C4⋊C4C2412yes—
376C2×C4⋊C4C2412yes—
377C2×C22⋊C4—22no—
378C2×C22⋊C4—22no—
379C2×C22⋊C4—22no—
380C2×C22⋊C4—22no—
381C2×C22⋊C4—22no—
382C2×C22⋊C4—22no—
383C2×C22⋊C4—22no—
384C2×C22⋊C4—22no—
385C2×C22⋊C4—22no—
386C2×C22⋊C4—22no—
387C2×C22⋊C4—22no—
388C2×C22⋊C4—22no—
389C2×C22⋊C4—22no—
390C2×C22⋊C4—22no—
391C2×C22⋊C4—22no—
392C2×C22⋊C4—22no—
393C2×C22⋊C4—22no—
394C2×C22⋊C4—22no—
395C2×C22⋊C4—22no—
396C2×C22⋊C4C2×D411yescharacteristic
397C2×C22⋊C4C2×D411yescharacteristic
398C2×C22⋊C4C2×D411yescharacteristic
399C2×C22⋊C4C2×D411yescharacteristic
400C2×C42—22no—
401C2×C42—22no—
402C2×C42—22no—
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×C42#4114yes—
414C2×C42#4114yes—
415C2×C42C2411yescharacteristic
416C2×C42C2411yescharacteristic
417C2×C42C2411yescharacteristic
418C2×C42C2411yescharacteristic
419C2×C42C2411yescharacteristic
420C2×C42C2411yescharacteristic
421C4⋊C8—24no—
422#103—28no—
423#103—44no—
424#103—44no—
425#103—44no—
426#102—28no—
427#102—28no—
428#102—44no—
429#102—44no—
430#102—44no—
431#102—44no—
432#102—44no—
433#102—44no—
434C22⋊C8—24no—
435#97—24no—
436#97—24no—
437#97—42no—
438C4×C8—24no—
439C4×C8—22no—
440C4×C8—22no—
441C4×C8—22no—
442C4×C8—22no—
443C4×C8—42no—
444#95—22no—
445#95—22no—
446#95—22no—
447#95—22no—
448#95—22no—
449#95—22no—
450#95—22no—
451#95—22no—
452#95—22no—
453#95—22no—
454#95C2×D411yescharacteristic
455#95C2×D411yescharacteristic
456#95C2×D411yescharacteristic
457#95C2×D411yescharacteristic
458#95C2×D411yescharacteristic
459#95C2×D411yescharacteristic
460#95C2×D411yescharacteristic
461#95C2×D411yescharacteristic
462C24—22no—
463C24—22no—
464C24—44no—
465C24—44no—
466C24—44no—
467C24—82no—
468C24—82no—
469C24—82no—
470C24—82no—
471C24C22×D411yescharacteristic
472C2×Q8—22no—
473C2×Q8—22no—
474C2×Q8—24no—
475C2×Q8—24no—
476C2×Q8—44no—
477C2×Q8—42no—
478C2×Q8—42no—
479C2×Q8—42no—
480C2×Q8—82no—
481C2×Q8—82no—
482C2×D4—22no—
483C2×D4—22no—
484C2×D4—22no—
485C2×D4—22no—
486C2×D4—24no—
487C2×D4—24no—
488C2×D4—24no—
489C2×D4—24no—
490C2×D4—416no—
491C2×D4—44no—
492C2×D4—44no—
493C2×D4—44no—
494C2×D4—44no—
495C2×D4—42no—
496C2×D4—42no—
497C2×D4—42no—
498C2×D4—42no—
499C2×D4—44no—
500C2×D4—42no—
501C2×D4—42no—
502C2×D4—42no—
503C2×D4—42no—
504C2×D4—42no—
505C2×D4—42no—
506C2×D4—42no—
507C2×D4—42no—
508C2×D4—88no—
509C2×D4—82no—
510C2×D4—82no—
511C2×D4—82no—
512C2×D4—82no—
513C2×D4—816no—
514C2×D4—816no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—22no—
522C22×C4—22no—
523C22×C4—22no—
524C22×C4—22no—
525C22×C4—22no—
526C22×C4—22no—
527C22×C4#12414yes—
528C22×C4#12414yes—
529C22×C4C22×D411yescharacteristic
530C22×C4C22×D411yescharacteristic
531C22×C4C22×D411yescharacteristic
532C22×C4C22×D411yescharacteristic
533C22×C4C22×D411yescharacteristic
534C22×C4C22×D411yescharacteristic
535C22×C4C22×D411yescharacteristic
536C22×C4C22×D411yescharacteristic
537C22×C4C22×D411yescharacteristic
538C22×C4C22×D411yescharacteristic
539C22×C4C22×D411yescharacteristic
540C22×C4C22×D411yescharacteristic
541C22×C4C22×D411yescharacteristic
542C22×C4C2×#4112yes—
543C22×C4C2×#4112yes—
544C22×C4C2511yescharacteristic
545M16—48no—
546C2×C8—22no—
547C2×C8—22no—
548C2×C8—22no—
549C2×C8—22no—
550C2×C8—22no—
551C2×C8—22no—
552C2×C8—22no—
553C2×C8—22no—
554C2×C8—22no—
555C2×C8—22no—
556C2×C8—22no—
557C2×C8H(5,𝔽2)14yes—
558C4⋊C4—22no—
559C4⋊C4—22no—
560C4⋊C4—24no—
561C4⋊C4—24no—
562C4⋊C4—24no—
563C4⋊C4—24no—
564C4⋊C4—41no—
565C4⋊C4—41no—
566C4⋊C4—41no—
567C4⋊C4—41no—
568C4⋊C4—44no—
569C4⋊C4—44no—
570C4⋊C4—44no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—44no—
574C4⋊C4—44no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C4⋊C4—42no—
580C4⋊C4—42no—
581C4⋊C4—42no—
582C4⋊C4—42no—
583C4⋊C4—42no—
584C4⋊C4—82no—
585C4⋊C4—82no—
586C4⋊C4—82no—
587C4⋊C4—82no—
588C4⋊C4—82no—
589C4⋊C4—82no—
590C22⋊C4—41no—
591C22⋊C4—41no—
592C22⋊C4—41no—
593C22⋊C4—41no—
594C22⋊C4—44no—
595C22⋊C4—82no—
596C22⋊C4—82no—
597C22⋊C4—82no—
598C22⋊C4—82no—
599C22⋊C4—82no—
600C22⋊C4—82no—
601C22⋊C4—82no—
602C22⋊C4—82no—
603C22⋊C4—82no—
604C22⋊C4—82no—
605C22⋊C4—82no—
606C22⋊C4—82no—
607C22⋊C4—82no—
608C22⋊C4—82no—
609C22⋊C4—82no—
610C22⋊C4—82no—
611C22⋊C4—82no—
612C22⋊C4—82no—
613C42—22no—
614C42—22no—
615C42—22no—
616C42—22no—
617C42—22no—
618C42—22no—
619C42—22no—
620C42—22no—
621C42—22no—
622C42—22no—
623C42—22no—
624C42—22no—
625C42—44no—
626C42—82no—
627C42—82no—
628C42#12414yes—
629C42#12414yes—
630C42C2×#4112yes—
631C42C2×#4112yes—
632C42C2×#4112yes—
633C42C2×#4112yes—
634C23—21no—
635C23—21no—
636C23—21no—
637C23—21no—
638C23—21no—
639C23—21no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—42no—
647C23—42no—
648C23—42no—
649C23—42no—
650C23—42no—
651C23—42no—
652C23—42no—
653C23—42no—
654C23—88no—
655C23—88no—
656C23—88no—
657C23—164no—
658C23—164no—
659C23—164no—
660C23—164no—
661C23C2×#12412yes—
662C23C23×D411yescharacteristic
663Q8—44no—
664Q8—44no—
665Q8—84no—
666Q8—164no—
667D4—44no—
668D4—44no—
669D4—44no—
670D4—44no—
671D4—88no—
672D4—88no—
673D4—88no—
674D4—84no—
675D4—84no—
676D4—84no—
677D4—84no—
678C2×C4—21no—
679C2×C4—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—28no—
685C2×C4—28no—
686C2×C4—24no—
687C2×C4—24no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—21no—
695C2×C4—21no—
696C2×C4—21no—
697C2×C4—21no—
698C2×C4—21no—
699C2×C4—21no—
700C2×C4—21no—
701C2×C4—21no—
702C2×C4—21no—
703C2×C4—21no—
704C2×C4—21no—
705C2×C4—21no—
706C2×C4—21no—
707C2×C4—21no—
708C2×C4—21no—
709C2×C4—21no—
710C2×C4—21no—
711C2×C4—21no—
712C2×C4—42no—
713C2×C4—42no—
714C2×C4—42no—
715C2×C4—42no—
716C2×C4—42no—
717C2×C4—42no—
718C2×C4—42no—
719C2×C4—42no—
720C2×C4—42no—
721C2×C4—42no—
722C2×C4—42no—
723C2×C4—42no—
724C2×C4—42no—
725C2×C4—42no—
726C2×C4—42no—
727C2×C4—42no—
728C2×C4—42no—
729C2×C4—42no—
730C2×C4C2×#12412yes—
731C2×C4C2×#12412yes—
732C2×C4C2×#12412yes—
733C2×C4C2×#12412yes—
734C2×C4C2×#12412yes—
735C2×C4#57512yes—
736C2×C4#57512yes—
737C2×C4#57612yes—
738C2×C4#57712yes—
739C2×C4C22×#4111yescharacteristic
740C2×C4C22×#4111yescharacteristic
741C2×C4C2×H(5,𝔽2)12yes—
742C2×C4#58512yes—
743C8—24no—
744C8—42no—
745C8—42no—
746C8—42no—
747C22—22no—
748C22—22no—
749C22—22no—
750C22—41no—
751C22—41no—
752C22—41no—
753C22—41no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22—82no—
758C22—82no—
759C22—82no—
760C22—82no—
761C22—82no—
762C22—82no—
763C22—82no—
764C22—82no—
765C22—82no—
766C22—82no—
767C22—82no—
768C22—1616no—
769C22C22×#12411yescharacteristic
770C22#349811yescharacteristic
771C22#350011yescharacteristic
772C22C2×#57511yescharacteristic
773C22C2×#57511yescharacteristic
774C22C2×#57611yescharacteristic
775C22C2×#57711yescharacteristic
776C4—22no—
777C4—22no—
778C4—22no—
779C4—41no—
780C4—41no—
781C4—41no—
782C4—41no—
783C4—41no—
784C4—41no—
785C4—41no—
786C4—41no—
787C4—82no—
788C4—82no—
789C4—82no—
790C4—82no—
791C4—82no—
792C4—82no—
793C4#313614yes—
794C4#314014yes—
795C4#346012yes—
796C4#349412yes—
797C2—42no—
798C2—162no—
799C2—162no—
800C2#3526411yescharacteristic
801C2C2×#313611yescharacteristic
802C2C2×#314011yescharacteristic
803C2#6242611yescharacteristic
804C2#6242711yescharacteristic
805C2#6254411yescharacteristic
806C2#6254611yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#127C22
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C23 ◁ C4×#117 ◁ G
LECSG ▷ C22×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
1. #35294C2semidirect
3. #33286C2semidirect
4. #33277C2semidirect
5. #33230C2semidirect
6. #33226C2semidirect
7. #30219C2semidirect
8. #30219C2semidirect
9. #30204C2semidirect
10. #30203C2semidirect
11. #27786C2semidirect
12. #27766C2semidirect
13. #27281C2semidirect
14. #27271C2semidirect
15. #21864C2semidirect
17. #21409C2semidirect
19. #20472C2semidirect
22. C2×#489C22semidirect
23. C2×#488C22semidirect
27. #2868C22semidirect
28. #2859C22semidirect
29. #2859C22semidirect
30. #2859C22semidirect
40. #2570C22semidirect
42. #2550C22semidirect
62. #2073C22semidirect
63. #2071C22semidirect
64. #2042C22semidirect
65. #2042C22semidirect
66. #2042C22semidirect
67. #2042C22semidirect
68. #2025C22semidirect
69. #2023C22semidirect
70. #1990C22semidirect
71. #1990C22semidirect
72. #1990C22semidirect
73. #1990C22semidirect
76. #1959C22semidirect
77. #1958C22semidirect
86. #1956C22semidirect
87. #1956C22semidirect
88. #1956C22semidirect
89. #1956C22semidirect
90. #1936C22semidirect
91. #1936C22semidirect
92. #1934C22semidirect
93. #1934C22semidirect
96. #1805C22semidirect
98. #1771C22semidirect
99. #1771C22semidirect
100. #1763C22semidirect
103. #1744C22semidirect
104. #1744C22semidirect
105. C4×#97C22semidirect
106. C42×C8C22semidirect

Maximal subgroups

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

subgroupindex
#352942
#352852
#332862
#332772
#332302
#332262
#302192
#302042
#302032
#277862
#277662
#272812
#272712
#218642
#218032
#214092
#212032
#204722