Finite Group Databasebeta

← #6479541

Subgroups — #6479541

Order 512.

1948 conjugacy classes of subgroups.

The subgroup lattice has 815 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2854C211yesmaximal, characteristic
2#34012C211yesmaximal, characteristic, complemented
3#33097C214yesmaximal, complemented
4#29914C212yesmaximal, complemented
5#29910C212yesmaximal, complemented
6#27865C214yesmaximal, complemented
7#27863C212yesmaximal, complemented
8#27862C212yesmaximal, complemented
9#27616C212yesmaximal, complemented
10#27613C211yesmaximal, characteristic, complemented
11#27610C211yesmaximal, characteristic, complemented
12#27588C212yesmaximal, complemented
13#27585C211yesmaximal, characteristic, complemented
14#27582C211yesmaximal, characteristic, complemented
15#21944C212yesmaximal, complemented
16#21767C212yesmaximal
17#20682C211yesmaximal, characteristic, complemented
18C22×#123—21no—
19C22×#121C2211yescharacteristic
20C23×C42C2211yescharacteristic
21C2×#407C2212yes—
22#2854—21no—
23#2854—21no—
24#2854—21no—
25#2854—21no—
26#2854C2212yes—
27#2854C2212yes—
28#2854C2212yes—
29#2854C2212yes—
30C2×#390C2211yescharacteristic
31C2×#390C2211yescharacteristic
32C2×#389C2211yescharacteristic
33C2×#389C2211yescharacteristic
34C2×#388—21no—
35C2×#388—21no—
36C2×#386—21no—
37#2285C2211yescharacteristic
38#2285C2211yescharacteristic
39#2285C2211yescharacteristic, complemented
40#2285C2211yescharacteristic, complemented
41#2285C2211yescharacteristic, complemented
42#2285C2211yescharacteristic, complemented
43#2283—21no—
44#2283—21no—
45#2283—21no—
46#2283—21no—
47#2283C2212yes—
48#2283C2212yescomplemented
49#2280—21no—
50#2280—21no—
51#2280C2212yes—
52C2×#380C2211yescharacteristic
53C4×#117—21no—
54C4×#117—21no—
55C4×#117C2212yescomplemented
56#2101C2214yescomplemented
57#2100C2212yescomplemented
58#2099C2212yescomplemented
59#2094C2212yescomplemented
60#2093C2212yescomplemented
61#2092C2214yescomplemented
62#2085C2214yescomplemented
63#2084C2212yescomplemented
64#2083C2212yescomplemented
65#2073C2214yescomplemented
66#2071C2212yescomplemented
67#2071C2212yescomplemented
68#1926C2214yescomplemented
69#1926C2214yescomplemented
70#1925C2214yescomplemented
71#1925C2214yescomplemented
72#1921C2214yescomplemented
73#1920C2214yescomplemented
74#1919C2214yescomplemented
75#1918C2214yescomplemented
76#1895C2214yes—
77#1895C2214yes—
78#1875C2214yes—
79#1875C2214yes—
80#1854C2214yescomplemented
81#1854C2214yescomplemented
82#1853C2212yes—
83#1853C2212yes—
84#1852C2212yes—
85#1852C2212yes—
86#1823C2212yes—
87#1823C2212yes—
88#1817C2211yescharacteristic
89#1817C2211yescharacteristic
90#1817C2212yes—
91#1817C2212yescomplemented
92#1817C2212yescomplemented
93#1809C2214yescomplemented
94#1809C2214yescomplemented
95#1786C2212yes—
96#1786C2212yes—
97#1728C2212yescomplemented
98#1728C2212yescomplemented
99C23×D4—21no—
100C23×D4C2311yescharacteristic
101C24×C4D411yescharacteristic
102C24×C4D411yescharacteristic
103C24×C4C2311yescharacteristic
104C22×M16C2314yes—
105C2×#123—22no—
106C2×#123—22no—
107C2×#123—22no—
108C2×#123—22no—
109C2×#123—48no—
110C2×#121—21no—
111C2×#121—21no—
112C2×#121—28no—
113C2×#121C2312yes—
114C2×#121C2312yes—
115C2×#117—21no—
116C2×#117—21no—
117C2×#117—21no—
118C2×#117—21no—
119C2×#117C2312yes—
120C2×#117C2312yes—
121C22×C4⋊C4—21no—
122C22×C4⋊C4—21no—
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2311yescharacteristic
125C22×C4⋊C4C2311yescharacteristic
126C22×C22⋊C4—21no—
127C22×C22⋊C4—21no—
128C22×C22⋊C4—21no—
129C22×C22⋊C4—21no—
130C22×C22⋊C4—21no—
131C22×C22⋊C4—21no—
132C22×C42—28no—
133C22×C42D411yescharacteristic
134C22×C42D411yescharacteristic
135C22×C42D411yescharacteristic
136C22×C42D411yescharacteristic
137C22×C42D411yescharacteristic
138C22×C42D411yescharacteristic
139C22×C42C2311yescharacteristic
140C22×C42C2311yescharacteristic
141C22×C42C2311yescharacteristic
142C22×C42C2311yescharacteristic
143C22×C42C2311yescharacteristic
144C22×C42C2311yescharacteristic
145C2×#107C2314yes—
146C2×#107C2314yes—
147C2×#106C2314yes—
148C2×#106C2314yes—
149C2×#102C2314yes—
150C2×#102C2314yes—
151C2×#102C2314yes—
152C2×#102C2314yes—
153#407—28no—
154C2×C22⋊C8C2312yes—
155C2×C22⋊C8C2312yes—
156C2×C22⋊C8C2314yes—
157#390—21no—
158#390—21no—
159#390—21no—
160#390—21no—
161#390C2312yes—
162#390C2312yes—
163#390C2312yes—
164#390C2312yes—
165#389—21no—
166#389—21no—
167#389—21no—
168#389—21no—
169#389C2312yes—
170#389C2312yes—
171#389C2312yes—
172#389C2312yes—
173#388—22no—
174#388—22no—
175#388—22no—
176#388—22no—
177#388—22no—
178#388—22no—
179#388—22no—
180#388—22no—
181#386—22no—
182#386—22no—
183#386—22no—
184#386—22no—
185#384C2311yescharacteristic
186#384C2311yescharacteristic
187#384C2311yescharacteristic
188#384C2311yescharacteristic
189#383—22no—
190#383—22no—
191#382—21no—
192#382—21no—
193#382—21no—
194#382—21no—
195#382C2312yes—
196#382C2312yes—
197#381—22no—
198#381—22no—
199#381—22no—
200#380—21no—
201#380—21no—
202#380—21no—
203#380—21no—
204#380—21no—
205#380—21no—
206#380—21no—
207#380—21no—
208#380—21no—
209#380—21no—
210#380C2312yes—
211#380C2312yes—
212#380C2312yes—
213#380C2312yes—
214#380C2312yes—
215#380C2312yes—
216#379—22no—
217C4×C4⋊C4—21no—
218C4×C4⋊C4—21no—
219C4×C4⋊C4—21no—
220C4×C4⋊C4—21no—
221C4×C4⋊C4—21no—
222C4×C4⋊C4—21no—
223C4×C4⋊C4—21no—
224C4×C4⋊C4—21no—
225C4×C4⋊C4C2312yes—
226C4×C4⋊C4C2312yes—
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—
235#376—22no—
236#376—22no—
237#376—22no—
238C2×#95—21no—
239C2×#95—21no—
240C2×#95—21no—
241C43—22no—
242#340C2314yes—
243#340C2314yes—
244#340C2314yes—
245#340C2314yes—
246#340C2314yes—
247#340C2314yes—
248#340C2314yes—
249#340C2314yes—
250#336C2312yes—
251#336C2312yes—
252#336C2314yes—
253#336C2312yes—
254#336C2312yes—
255#336C2314yes—
256C25—21no—
257C25C2×D411yescharacteristic
258C22×D4—22no—
259C22×D4—22no—
260C22×D4—21no—
261C22×D4—24no—
262C22×D4—42no—
263C22×D4—42no—
264C22×D4—44no—
265C22×D4—44no—
266C22×D4—44no—
267C22×D4C2412yes—
268C23×C4—24no—
269C23×C4—24no—
270C23×C4—24no—
271C23×C4—21no—
272C23×C4—21no—
273C23×C4—21no—
274C23×C4—42no—
275C23×C4—42no—
276C23×C4—42no—
277C23×C4—42no—
278C23×C4—42no—
279C23×C4C2×D411yescharacteristic
280C23×C4C2×D411yescharacteristic
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×C4#4118yes—
295C23×C4C2411yescharacteristic
296C23×C4C2411yescharacteristic
297C23×C4C2411yescharacteristic
298C2×M16—28no—
299C2×M16—44no—
300C2×M16—44no—
301C22×C8C2414yes—
302C22×C8C2414yes—
303#123—48no—
304#123—48no—
305#123—48no—
306#123—48no—
307#121—28no—
308#121—28no—
309#121—44no—
310#121—44no—
311#117—44no—
312#117—44no—
313#117—44no—
314#117—44no—
315#117—44no—
316#117—44no—
317C2×C4⋊C4—24no—
318C2×C4⋊C4—22no—
319C2×C4⋊C4—22no—
320C2×C4⋊C4—22no—
321C2×C4⋊C4—22no—
322C2×C4⋊C4—21no—
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—21no—
330C2×C4⋊C4—21no—
331C2×C4⋊C4—21no—
332C2×C4⋊C4—21no—
333C2×C4⋊C4—42no—
334C2×C4⋊C4—42no—
335C2×C4⋊C4—44no—
336C2×C4⋊C4—44no—
337C2×C4⋊C4C2412yes—
338C2×C4⋊C4C2412yes—
339C2×C4⋊C4C2412yes—
340C2×C4⋊C4C2412yes—
341C2×C4⋊C4C2412yes—
342C2×C4⋊C4C2412yes—
343C2×C4⋊C4C2412yes—
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—22no—
357C2×C22⋊C4—22no—
358C2×C22⋊C4—22no—
359C2×C22⋊C4—22no—
360C2×C22⋊C4—22no—
361C2×C22⋊C4—22no—
362C2×C22⋊C4—44no—
363C2×C22⋊C4—44no—
364C2×C22⋊C4—44no—
365C2×C22⋊C4—44no—
366C2×C22⋊C4—44no—
367C2×C22⋊C4—44no—
368C2×C42—24no—
369C2×C42—24no—
370C2×C42—24no—
371C2×C42—24no—
372C2×C42—24no—
373C2×C42—24no—
374C2×C42—24no—
375C2×C42—24no—
376C2×C42—24no—
377C2×C42—24no—
378C2×C42—24no—
379C2×C42—24no—
380C2×C42—22no—
381C2×C42—22no—
382C2×C42—22no—
383C2×C42—22no—
384C2×C42—22no—
385C2×C42—22no—
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×C42C2×D411yescharacteristic
395C2×C42C2×D411yescharacteristic
396C2×C42C2×D411yescharacteristic
397C2×C42C2×D411yescharacteristic
398C2×C42C2411yescharacteristic
399C2×C42C2411yescharacteristic
400C2×C42C2411yescharacteristic
401C2×C42C2411yescharacteristic
402#107—44no—
403#107—44no—
404#106—44no—
405#106—44no—
406#102—44no—
407#102—44no—
408#102—44no—
409#102—44no—
410C22⋊C8—24no—
411C22⋊C8—24no—
412C22⋊C8—28no—
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—
431C24—22no—
432C24—22no—
433C24—22no—
434C24—41no—
435C24—41no—
436C24—41no—
437C24—41no—
438C24—42no—
439C24—42no—
440C24—42no—
441C24—42no—
442C24—42no—
443C24—42no—
444C24—42no—
445C24#12314yes—
446C24C22×D411yescharacteristic
447C24C22×D411yescharacteristic
448C24C22×D411yescharacteristic
449C2×D4—24no—
450C2×D4—22no—
451C2×D4—22no—
452C2×D4—24no—
453C2×D4—42no—
454C2×D4—42no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—44no—
458C2×D4—44no—
459C2×D4—44no—
460C2×D4—44no—
461C2×D4—42no—
462C2×D4—88no—
463C2×D4—816no—
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—22no—
500C22×C4—22no—
501C22×C4—22no—
502C22×C4—416no—
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—41no—
514C22×C4—41no—
515C22×C4—41no—
516C22×C4—41no—
517C22×C4—41no—
518C22×C4—41no—
519C22×C4—416no—
520C22×C4—416no—
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#12314yes—
531C22×C4#12314yes—
532C22×C4#12314yes—
533C22×C4AGL(1,ℤ/8)14yes—
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×C4C22×D411yescharacteristic
543C22×C4C22×D411yescharacteristic
544C22×C4C22×D411yescharacteristic
545C22×C4C2×#4114yes—
546C22×C4C2×#4114yes—
547C22×C4C2×#4114yes—
548C22×C4C2511yescharacteristic
549M16—88no—
550C2×C8—24no—
551C2×C8—24no—
552C2×C8—24no—
553C2×C8—24no—
554C2×C8—24no—
555C2×C8—24no—
556C4⋊C4—24no—
557C4⋊C4—24no—
558C4⋊C4—24no—
559C4⋊C4—24no—
560C4⋊C4—24no—
561C4⋊C4—22no—
562C4⋊C4—24no—
563C4⋊C4—22no—
564C4⋊C4—42no—
565C4⋊C4—42no—
566C4⋊C4—44no—
567C4⋊C4—44no—
568C4⋊C4—42no—
569C4⋊C4—42no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—42no—
573C4⋊C4—44no—
574C4⋊C4—44no—
575C4⋊C4—42no—
576C4⋊C4—42no—
577C4⋊C4—42no—
578C4⋊C4—42no—
579C22⋊C4—44no—
580C22⋊C4—44no—
581C22⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—44no—
585C22⋊C4—44no—
586C22⋊C4—44no—
587C22⋊C4—44no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C22⋊C4—44no—
591C22⋊C4—44no—
592C22⋊C4—44no—
593C22⋊C4—44no—
594C22⋊C4—44no—
595C22⋊C4—44no—
596C22⋊C4—44no—
597C42—22no—
598C42—22no—
599C42—22no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—22no—
608C42—22no—
609C42—22no—
610C42—22no—
611C42—22no—
612C42—22no—
613C42—44no—
614C42—44no—
615C42—44no—
616C42—44no—
617C42—44no—
618C42—44no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—28no—
624C23—21no—
625C23—21no—
626C23—21no—
627C23—21no—
628C23—21no—
629C23—21no—
630C23—21no—
631C23—21no—
632C23—21no—
633C23—21no—
634C23—21no—
635C23—21no—
636C23—44no—
637C23—44no—
638C23—44no—
639C23—44no—
640C23—44no—
641C23—44no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—42no—
646C23—42no—
647C23—42no—
648C23—42no—
649C23—84no—
650C23—84no—
651C23—84no—
652C23—84no—
653C23—84no—
654C23—84no—
655C23—84no—
656C23C2×#12312yes—
657C23C2×#12312yes—
658C23C2×#12312yes—
659C23C2×AGL(1,ℤ/8)12yes—
660C23#57512yes—
661C23C23×D411yescharacteristic
662D4—44no—
663D4—44no—
664D4—84no—
665D4—88no—
666D4—88no—
667C2×C4—28no—
668C2×C4—28no—
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—21no—
680C2×C4—21no—
681C2×C4—21no—
682C2×C4—21no—
683C2×C4—28no—
684C2×C4—28no—
685C2×C4—28no—
686C2×C4—21no—
687C2×C4—21no—
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—44no—
699C2×C4—44no—
700C2×C4—44no—
701C2×C4—44no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—44no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
710C2×C4—44no—
711C2×C4—42no—
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×C4—42no—
731C2×C4—42no—
732C2×C4—84no—
733C2×C4—84no—
734C2×C4—84no—
735C2×C4C2×#12312yes—
736C2×C4C2×#12312yes—
737C2×C4C2×#12312yes—
738C2×C4C2×AGL(1,ℤ/8)12yes—
739C2×C4C2×AGL(1,ℤ/8)12yes—
740C2×C4#57512yes—
741C2×C4#57512yes—
742C2×C4C22×#4112yes—
743C2×C4#58512yes—
744C2×C4#58512yes—
745C8—44no—
746C8—44no—
747C22—22no—
748C22—22no—
749C22—22no—
750C22—22no—
751C22—22no—
752C22—22no—
753C22—22no—
754C22—22no—
755C22—22no—
756C22—22no—
757C22—22no—
758C22—22no—
759C22—416no—
760C22—41no—
761C22—41no—
762C22—41no—
763C22—41no—
764C22—41no—
765C22—41no—
766C22—41no—
767C22—41no—
768C22—82no—
769C22—82no—
770C22—82no—
771C22—82no—
772C22—82no—
773C22—82no—
774C22—82no—
775C22—168no—
776C22#309414yes—
777C22C22×#12311yescharacteristic
778C22#344911yescharacteristic
779C22#344911yescharacteristic
780C22C22×AGL(1,ℤ/8)11yescharacteristic
781C22C2×#57511yescharacteristic
782C22C2×#57511yescharacteristic
783C22C2×#57511yescharacteristic
784C4—22no—
785C4—22no—
786C4—22no—
787C4—22no—
788C4—22no—
789C4—22no—
790C4—22no—
791C4—41no—
792C4—41no—
793C4—41no—
794C4—41no—
795C4—82no—
796C4—82no—
797C4—82no—
798C4—82no—
799C4—82no—
800C4—82no—
801C4—82no—
802C4#349114yes—
803C2—24no—
804C2—42no—
805C2—42no—
806C2—162no—
807C2#3509711yescharacteristic
808C2C2×#309411yescharacteristic
809C2#6051111yescharacteristic
810C2#6095111yescharacteristic
811C2#6095411yescharacteristic
812C2#6096511yescharacteristic
813C2#6097011yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radicalC22×#121C22
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
2. #34012C2semidirect
3. #33097C2semidirect
4. #29914C2semidirect
5. #29910C2semidirect
6. #27865C2semidirect
7. #27863C2semidirect
8. #27862C2semidirect
9. #27616C2semidirect
10. #27613C2semidirect
11. #27610C2semidirect
12. #27588C2semidirect
13. #27585C2semidirect
14. #27582C2semidirect
15. #21944C2semidirect
17. #20682C2semidirect
39. #2285C22semidirect
40. #2285C22semidirect
41. #2285C22semidirect
42. #2285C22semidirect
48. #2283C22semidirect
55. C4×#117C22semidirect
56. #2101C22semidirect
57. #2100C22semidirect
58. #2099C22semidirect
59. #2094C22semidirect
60. #2093C22semidirect
61. #2092C22semidirect
62. #2085C22semidirect
63. #2084C22semidirect
64. #2083C22semidirect
65. #2073C22semidirect
66. #2071C22semidirect
67. #2071C22semidirect
68. #1926C22semidirect
69. #1926C22semidirect
70. #1925C22semidirect
71. #1925C22semidirect
72. #1921C22semidirect
73. #1920C22semidirect
74. #1919C22semidirect
75. #1918C22semidirect
80. #1854C22semidirect
81. #1854C22semidirect
91. #1817C22semidirect
92. #1817C22semidirect
93. #1809C22semidirect
94. #1809C22semidirect
97. #1728C22semidirect
98. #1728C22semidirect

Maximal subgroups

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

subgroupindex
C2×#28542
#340122
#330972
#299142
#299102
#278652
#278632
#278622
#276162
#276132
#276102
#275882
#275852
#275822
#219442
#217672
#206822