Finite Group Databasebeta

← #6660825

Subgroups — #6660825

Order 512.

2654 conjugacy classes of subgroups.

The subgroup lattice has 831 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2856C211yesmaximal, characteristic, complemented
2C2×#2854C211yesmaximal, characteristic, complemented
3#32719C214yesmaximal, complemented
4#30324C214yesmaximal, complemented
5#29907C212yesmaximal, complemented
6#29755C212yesmaximal, complemented
7#29712C212yesmaximal, complemented
8#29622C212yesmaximal, complemented
9#29334C212yesmaximal, complemented
10#28310C212yesmaximal, complemented
11#24506C214yesmaximal, complemented
12#24005C212yesmaximal, complemented
13#23918C212yesmaximal, complemented
14#20715C211yesmaximal, characteristic, complemented
15C22×#127C2211yescharacteristic, complemented
16C22×#123—21no—
17C22×#121—21no—
18C22×#121—21no—
19C22×#121C2211yescharacteristic
20C22×#121C2212yes—
21C23×C42C2211yescharacteristic
22C2×#481C2214yescomplemented
23C2×#447C2214yes—
24C2×#447C2214yescomplemented
25C2×#432C2212yescomplemented
26#2856—21no—
27#2856—21no—
28#2856—21no—
29#2856—21no—
30#2856C2212yes—
31#2856C2212yes—
32#2856C2212yescomplemented
33#2856C2212yescomplemented
34#2854—21no—
35#2854—21no—
36#2854—21no—
37#2854—21no—
38#2854C2212yes—
39#2854C2212yes—
40#2854C2212yescomplemented
41#2854C2212yescomplemented
42C2×#390—21no—
43C2×#390—21no—
44C2×#390C2211yescharacteristic, complemented
45C2×#390C2211yescharacteristic, complemented
46C2×#390C2212yescomplemented
47C2×#389C2211yescharacteristic, complemented
48C2×#389C2211yescharacteristic, complemented
49C2×#388—21no—
50C2×#388—21no—
51C2×#386—21no—
52C2×#384C2211yescharacteristic, complemented
53C2×#380C2211yescharacteristic
54#2100C2214yescomplemented
55#2094C2214yescomplemented
56#2084C2214yescomplemented
57#2071C2214yescomplemented
58#2065C2218yescomplemented
59#2054C2218yescomplemented
60#2041C2214yescomplemented
61#2041C2214yescomplemented
62#2034C2218yescomplemented
63#2011C2214yescomplemented
64#2011C2214yescomplemented
65#1999C2218yescomplemented
66#1972C2218yescomplemented
67#1936C2218yescomplemented
68#1874C2214yes—
69#1874C2214yescomplemented
70#1874C2214yescomplemented
71#1853C2214yescomplemented
72#1817C2212yescomplemented
73#1797C2212yescomplemented
74#1797C2212yescomplemented
75#1786C2214yescomplemented
76#1779C2212yes—
77#1749C2212yescomplemented
78#1749C2212yescomplemented
79C23×D4—22no—
80C23×D4—21no—
81C23×D4—21no—
82C23×D4—21no—
83C23×D4C2312yes—
84C23×D4C2311yescharacteristic
85C24×C4D411yescharacteristic
86C24×C4D411yescharacteristic
87C24×C4C2311yescharacteristic
88C22×D8C2318yes—
89C2×#127—21no—
90C2×#127—21no—
91C2×#127—44no—
92C2×#127C2312yes—
93C2×#127C2312yes—
94C2×#123—22no—
95C2×#123—22no—
96C2×#123—22no—
97C2×#123—22no—
98C2×#123—48no—
99C2×#121—21no—
100C2×#121—21no—
101C2×#121—22no—
102C2×#121—22no—
103C2×#121—22no—
104C2×#121—22no—
105C2×#121—22no—
106C2×#121—22no—
107C2×#121—22no—
108C2×#121—22no—
109C2×#121—22no—
110C2×#121—22no—
111C2×#121—44no—
112C2×#121—48no—
113C2×#121—48no—
114C2×#121—48no—
115C2×#121C2314yes—
116C2×#121C2312yes—
117C2×#121C2312yes—
118C2×#121C2314yes—
119C22×C4⋊C4—21no—
120C22×C4⋊C4—21no—
121C22×C4⋊C4—21no—
122C22×C4⋊C4—21no—
123C22×C4⋊C4C2311yescharacteristic
124C22×C4⋊C4C2312yes—
125C22×C4⋊C4C2311yescharacteristic
126C22×C4⋊C4C2311yescharacteristic
127C22×C22⋊C4—21no—
128C22×C22⋊C4—22no—
129C22×C22⋊C4—22no—
130C22×C22⋊C4—21no—
131C22×C22⋊C4—22no—
132C22×C22⋊C4—21no—
133C22×C22⋊C4—21no—
134C22×C22⋊C4—21no—
135C22×C22⋊C4—21no—
136C22×C42—44no—
137C22×C42D411yescharacteristic
138C22×C42D411yescharacteristic
139C22×C42D411yescharacteristic
140C22×C42D411yescharacteristic
141C22×C42D411yescharacteristic
142C22×C42D411yescharacteristic
143C22×C42C2311yescharacteristic
144C22×C42C2311yescharacteristic
145C22×C42C2311yescharacteristic
146C22×C42C2311yescharacteristic
147C22×C42C2311yescharacteristic
148C22×C42C2311yescharacteristic
149#481—48no—
150#447—48no—
151#447—48no—
152#432—44no—
153C2×#106C2318yes—
154C2×C4⋊C8C2314yes—
155C2×#102C2318yes—
156C2×#102C2318yes—
157C2×#102C2318yes—
158C2×#102C2318yes—
159C2×C22⋊C8C2314yes—
160C2×C22⋊C8C2314yes—
161C2×C22⋊C8C2314yes—
162C2×#97C2314yes—
163#390—21no—
164#390—21no—
165#390—21no—
166#390—21no—
167#390—22no—
168#390—22no—
169#390—22no—
170#390—22no—
171#390—22no—
172#390—22no—
173#390—22no—
174#390—22no—
175#390—22no—
176#390—22no—
177#390C2312yes—
178#390C2314yes—
179#390C2312yes—
180#390C2312yes—
181#390C2312yes—
182#390C2314yes—
183#389—21no—
184#389—21no—
185#389—21no—
186#389—21no—
187#389C2312yes—
188#389C2312yes—
189#389C2312yes—
190#389C2312yes—
191#388—22no—
192#388—22no—
193#388—22no—
194#388—22no—
195#388—22no—
196#388—22no—
197#388—22no—
198#388—22no—
199#386—22no—
200#386—22no—
201#386—22no—
202#386—22no—
203#384—21no—
204#384—21no—
205#384C2312yes—
206#384C2312yes—
207#380—21no—
208#380—21no—
209#380C2312yes—
210#380C2312yes—
211C2×#95—21no—
212C2×#95—21no—
213C2×#95—21no—
214#340C2318yes—
215#340C2318yes—
216#336C2314yes—
217#336C2314yes—
218C25—21no—
219C25—22no—
220C25C2×D411yescharacteristic
221C22×D4—24no—
222C22×D4—24no—
223C22×D4—22no—
224C22×D4—22no—
225C22×D4—22no—
226C22×D4—22no—
227C22×D4—22no—
228C22×D4—22no—
229C22×D4—22no—
230C22×D4—21no—
231C22×D4—28no—
232C22×D4—24no—
233C22×D4—42no—
234C22×D4—44no—
235C22×D4—42no—
236C22×D4—44no—
237C22×D4—44no—
238C22×D4—44no—
239C22×D4—44no—
240C22×D4—44no—
241C22×D4—44no—
242C22×D4—44no—
243C22×D4—48no—
244C22×D4—48no—
245C22×D4—44no—
246C22×D4—48no—
247C22×D4—44no—
248C22×D4—44no—
249C22×D4C2414yes—
250C22×D4C2412yes—
251C23×C4—24no—
252C23×C4—24no—
253C23×C4—24no—
254C23×C4—24no—
255C23×C4—24no—
256C23×C4—22no—
257C23×C4—21no—
258C23×C4—21no—
259C23×C4—21no—
260C23×C4—42no—
261C23×C4—42no—
262C23×C4—42no—
263C23×C4—42no—
264C23×C4C2×D411yescharacteristic
265C23×C4C2×D411yescharacteristic
266C23×C4C2×D411yescharacteristic
267C23×C4C2×D411yescharacteristic
268C23×C4C2×D411yescharacteristic
269C23×C4C2×D411yescharacteristic
270C23×C4C2×D411yescharacteristic
271C23×C4C2×D411yescharacteristic
272C23×C4C2×D411yescharacteristic
273C23×C4C2×D411yescharacteristic
274C23×C4C2×D411yescharacteristic
275C23×C4C2×D411yescharacteristic
276C23×C4C2×D411yescharacteristic
277C23×C4C2×D411yescharacteristic
278C23×C4C2×D411yescharacteristic
279C23×C4C2411yescharacteristic
280C23×C4C2411yescharacteristic
281C23×C4C2411yescharacteristic
282C2×D8—48no—
283C2×D8—48no—
284C2×D8—48no—
285C22×C8C2418yes—
286#127—44no—
287#127—44no—
288#127—44no—
289#127—44no—
290#123—48no—
291#123—48no—
292#123—48no—
293#123—48no—
294#121—28no—
295#121—28no—
296#121—28no—
297#121—44no—
298#121—44no—
299#121—44no—
300#121—44no—
301#121—48no—
302#121—48no—
303#121—48no—
304#121—48no—
305#121—48no—
306#121—48no—
307#121—48no—
308#121—44no—
309#121—48no—
310#121—48no—
311#121—48no—
312C2×C4⋊C4—24no—
313C2×C4⋊C4—22no—
314C2×C4⋊C4—22no—
315C2×C4⋊C4—22no—
316C2×C4⋊C4—22no—
317C2×C4⋊C4—22no—
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—42no—
326C2×C4⋊C4—42no—
327C2×C4⋊C4—44no—
328C2×C4⋊C4—44no—
329C2×C4⋊C4—44no—
330C2×C4⋊C4—44no—
331C2×C4⋊C4—44no—
332C2×C4⋊C4C2414yes—
333C2×C4⋊C4C2412yes—
334C2×C4⋊C4C2412yes—
335C2×C4⋊C4C2412yes—
336C2×C22⋊C4—22no—
337C2×C22⋊C4—22no—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—24no—
341C2×C22⋊C4—24no—
342C2×C22⋊C4—22no—
343C2×C22⋊C4—22no—
344C2×C22⋊C4—24no—
345C2×C22⋊C4—24no—
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—44no—
355C2×C22⋊C4—48no—
356C2×C22⋊C4—44no—
357C2×C22⋊C4—48no—
358C2×C22⋊C4—48no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4—44no—
362C2×C22⋊C4—44no—
363C2×C42—24no—
364C2×C42—24no—
365C2×C42—42no—
366C2×C42—42no—
367C2×C42—42no—
368C2×C42—42no—
369C2×C42—42no—
370C2×C42—42no—
371C2×C42—42no—
372C2×C42—42no—
373C2×C42—42no—
374C2×C42—42no—
375C2×C42C2×D411yescharacteristic
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×C42C2411yescharacteristic
388C2×C42C2411yescharacteristic
389C2×C42C2411yescharacteristic
390C2×C42C2411yescharacteristic
391#106—48no—
392C4⋊C8—44no—
393#102—48no—
394#102—48no—
395#102—48no—
396#102—48no—
397C22⋊C8—28no—
398C22⋊C8—28no—
399C22⋊C8—44no—
400#97—44no—
401#95—22no—
402#95—22no—
403#95—22no—
404#95—22no—
405#95—22no—
406#95—22no—
407C24—22no—
408C24—22no—
409C24—22no—
410C24—22no—
411C24—22no—
412C24—24no—
413C24—41no—
414C24—41no—
415C24—42no—
416C24—42no—
417C24—44no—
418C24—44no—
419C24—42no—
420C24—42no—
421C24—44no—
422C24—44no—
423C24—44no—
424C24—42no—
425C24—44no—
426C24—42no—
427C24—42no—
428C24—44no—
429C24AGL(1,ℤ/8)14yes—
430C24C22×D411yescharacteristic
431C24C22×D411yescharacteristic
432C24C22×D411yescharacteristic
433C2×D4—24no—
434C2×D4—24no—
435C2×D4—28no—
436C2×D4—24no—
437C2×D4—24no—
438C2×D4—28no—
439C2×D4—24no—
440C2×D4—42no—
441C2×D4—44no—
442C2×D4—44no—
443C2×D4—44no—
444C2×D4—44no—
445C2×D4—44no—
446C2×D4—44no—
447C2×D4—44no—
448C2×D4—44no—
449C2×D4—42no—
450C2×D4—44no—
451C2×D4—44no—
452C2×D4—44no—
453C2×D4—48no—
454C2×D4—48no—
455C2×D4—44no—
456C2×D4—44no—
457C2×D4—48no—
458C2×D4—48no—
459C2×D4—48no—
460C2×D4—48no—
461C2×D4—44no—
462C2×D4—44no—
463C2×D4—44no—
464C2×D4—44no—
465C2×D4—42no—
466C2×D4—44no—
467C2×D4—44no—
468C2×D4—44no—
469C2×D4—44no—
470C2×D4—88no—
471C2×D4—816no—
472C2×D4—816no—
473C2×D4—816no—
474C2×D4—816no—
475C2×D4—832no—
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—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—22no—
514C22×C4—22no—
515C22×C4—24no—
516C22×C4—41no—
517C22×C4—41no—
518C22×C4—41no—
519C22×C4—41no—
520C22×C4—41no—
521C22×C4—41no—
522C22×C4—41no—
523C22×C4—41no—
524C22×C4—41no—
525C22×C4—41no—
526C22×C4—41no—
527C22×C4—41no—
528C22×C4—41no—
529C22×C4—41no—
530C22×C4—416no—
531C22×C4—416no—
532C22×C4—416no—
533C22×C4—42no—
534C22×C4—42no—
535C22×C4—42no—
536C22×C4—44no—
537C22×C4—44no—
538C22×C4—42no—
539C22×C4—42no—
540C22×C4—42no—
541C22×C4—42no—
542C22×C4—44no—
543C22×C4—42no—
544C22×C4—42no—
545C22×C4AGL(1,ℤ/8)14yes—
546C22×C4AGL(1,ℤ/8)14yes—
547C22×C4C22×D411yescharacteristic
548C22×C4C22×D411yescharacteristic
549C22×C4C22×D411yescharacteristic
550C22×C4C22×D411yescharacteristic
551C22×C4C22×D411yescharacteristic
552C22×C4C22×D411yescharacteristic
553C22×C4C22×D411yescharacteristic
554C22×C4C22×D411yescharacteristic
555C22×C4C22×D411yescharacteristic
556C22×C4C22×D411yescharacteristic
557C22×C4C22×D411yescharacteristic
558C22×C4H(5,𝔽2)14yes—
559C22×C4H(5,𝔽2)14yes—
560C22×C4C2511yescharacteristic
561D8—816no—
562C2×C8—28no—
563C2×C8—28no—
564C2×C8—28no—
565C4⋊C4—24no—
566C4⋊C4—24no—
567C4⋊C4—24no—
568C4⋊C4—24no—
569C4⋊C4—24no—
570C4⋊C4—42no—
571C4⋊C4—42no—
572C4⋊C4—44no—
573C4⋊C4—44no—
574C4⋊C4—44no—
575C4⋊C4—44no—
576C4⋊C4—44no—
577C4⋊C4—44no—
578C4⋊C4—42no—
579C4⋊C4—44no—
580C4⋊C4—44no—
581C4⋊C4—44no—
582C22⋊C4—44no—
583C22⋊C4—44no—
584C22⋊C4—48no—
585C22⋊C4—48no—
586C22⋊C4—48no—
587C22⋊C4—48no—
588C22⋊C4—44no—
589C22⋊C4—44no—
590C22⋊C4—44no—
591C22⋊C4—44no—
592C22⋊C4—44no—
593C22⋊C4—48no—
594C22⋊C4—44no—
595C22⋊C4—44no—
596C22⋊C4—48no—
597C22⋊C4—44no—
598C22⋊C4—44no—
599C22⋊C4—44no—
600C42—22no—
601C42—22no—
602C42—22no—
603C42—22no—
604C42—22no—
605C42—22no—
606C42—22no—
607C42—22no—
608C42—41no—
609C42—41no—
610C42—41no—
611C42—41no—
612C42—41no—
613C42—41no—
614C42—41no—
615C42—41no—
616C23—21no—
617C23—21no—
618C23—21no—
619C23—21no—
620C23—21no—
621C23—21no—
622C23—21no—
623C23—21no—
624C23—21no—
625C23—21no—
626C23—28no—
627C23—21no—
628C23—28no—
629C23—21no—
630C23—21no—
631C23—21no—
632C23—44no—
633C23—44no—
634C23—44no—
635C23—44no—
636C23—44no—
637C23—42no—
638C23—44no—
639C23—44no—
640C23—42no—
641C23—44no—
642C23—42no—
643C23—42no—
644C23—44no—
645C23—44no—
646C23—42no—
647C23—42no—
648C23—44no—
649C23—42no—
650C23—44no—
651C23—84no—
652C23—88no—
653C23—84no—
654C23—88no—
655C23—88no—
656C23—88no—
657C23—84no—
658C23—84no—
659C23—88no—
660C23—84no—
661C23—84no—
662C23—88no—
663C23—88no—
664C23—84no—
665C23#53412yes—
666C23#53512yes—
667C23C2×AGL(1,ℤ/8)12yes—
668C23C2×AGL(1,ℤ/8)12yes—
669C23C2×AGL(1,ℤ/8)12yes—
670C23C2×AGL(1,ℤ/8)12yes—
671C23C2×AGL(1,ℤ/8)12yes—
672C23C23×D411yescharacteristic
673D4—48no—
674D4—48no—
675D4—48no—
676D4—88no—
677D4—88no—
678D4—88no—
679D4—84no—
680D4—88no—
681D4—88no—
682D4—88no—
683D4—816no—
684D4—88no—
685D4—816no—
686C2×C4—28no—
687C2×C4—21no—
688C2×C4—21no—
689C2×C4—21no—
690C2×C4—21no—
691C2×C4—21no—
692C2×C4—21no—
693C2×C4—21no—
694C2×C4—28no—
695C2×C4—21no—
696C2×C4—21no—
697C2×C4—21no—
698C2×C4—21no—
699C2×C4—21no—
700C2×C4—21no—
701C2×C4—21no—
702C2×C4—28no—
703C2×C4—28no—
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—21no—
713C2×C4—21no—
714C2×C4—21no—
715C2×C4—21no—
716C2×C4—44no—
717C2×C4—44no—
718C2×C4—44no—
719C2×C4—44no—
720C2×C4—44no—
721C2×C4—44no—
722C2×C4—44no—
723C2×C4—44no—
724C2×C4—44no—
725C2×C4—44no—
726C2×C4—44no—
727C2×C4—44no—
728C2×C4—44no—
729C2×C4—44no—
730C2×C4—42no—
731C2×C4—44no—
732C2×C4—42no—
733C2×C4—42no—
734C2×C4—42no—
735C2×C4—42no—
736C2×C4—44no—
737C2×C4—44no—
738C2×C4—42no—
739C2×C4—42no—
740C2×C4—42no—
741C2×C4—42no—
742C2×C4—84no—
743C2×C4—84no—
744C2×C4—84no—
745C2×C4—88no—
746C2×C4#53412yes—
747C2×C4#53512yes—
748C2×C4C2×AGL(1,ℤ/8)12yes—
749C2×C4C2×AGL(1,ℤ/8)12yes—
750C2×C4C2×AGL(1,ℤ/8)12yes—
751C2×C4C2×AGL(1,ℤ/8)12yes—
752C2×C4#57512yes—
753C2×C4C2×H(5,𝔽2)12yes—
754C2×C4C2×H(5,𝔽2)12yes—
755C2×C4#58512yes—
756C8—48no—
757C22—22no—
758C22—22no—
759C22—22no—
760C22—22no—
761C22—22no—
762C22—22no—
763C22—22no—
764C22—22no—
765C22—22no—
766C22—22no—
767C22—22no—
768C22—22no—
769C22—22no—
770C22—22no—
771C22—22no—
772C22—416no—
773C22—41no—
774C22—41no—
775C22—41no—
776C22—41no—
777C22—84no—
778C22—82no—
779C22—82no—
780C22—84no—
781C22—84no—
782C22—82no—
783C22—82no—
784C22—84no—
785C22—84no—
786C22—82no—
787C22—84no—
788C22—82no—
789C22—84no—
790C22—82no—
791C22—1616no—
792C22—168no—
793C22#319214yes—
794C22#321714yes—
795C22C2×#53411yescharacteristic
796C22C2×#53511yescharacteristic
797C22#344911yescharacteristic
798C22C22×AGL(1,ℤ/8)11yescharacteristic
799C22C22×AGL(1,ℤ/8)11yescharacteristic
800C22C22×AGL(1,ℤ/8)11yescharacteristic
801C22C2×#57511yescharacteristic
802C4—22no—
803C4—22no—
804C4—22no—
805C4—22no—
806C4—22no—
807C4—22no—
808C4—22no—
809C4—41no—
810C4—41no—
811C4—41no—
812C4—41no—
813C4—82no—
814C4—82no—
815C4—84no—
816C4—82no—
817C4#353414yes—
818C2—24no—
819C2—24no—
820C2—42no—
821C2—164no—
822C2—162no—
823C2#3744011yescharacteristic
824C2C2×#319211yescharacteristic
825C2#6075011yescharacteristic
826C2C2×#321711yescharacteristic
827C2#6080311yescharacteristic
828C2#6095811yescharacteristic
829C2#6096811yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
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
1. C2×#2856C2semidirect
2. C2×#2854C2semidirect
3. #32719C2semidirect
4. #30324C2semidirect
5. #29907C2semidirect
6. #29755C2semidirect
7. #29712C2semidirect
8. #29622C2semidirect
9. #29334C2semidirect
10. #28310C2semidirect
11. #24506C2semidirect
12. #24005C2semidirect
13. #23918C2semidirect
14. #20715C2semidirect
15. C22×#127C22semidirect
22. C2×#481C22semidirect
24. C2×#447C22semidirect
25. C2×#432C22semidirect
32. #2856C22semidirect
33. #2856C22semidirect
40. #2854C22semidirect
41. #2854C22semidirect
44. C2×#390C22semidirect
45. C2×#390C22semidirect
46. C2×#390C22semidirect
47. C2×#389C22semidirect
48. C2×#389C22semidirect
52. C2×#384C22semidirect
54. #2100C22semidirect
55. #2094C22semidirect
56. #2084C22semidirect
57. #2071C22semidirect
58. #2065C22semidirect
59. #2054C22semidirect
60. #2041C22semidirect
61. #2041C22semidirect
62. #2034C22semidirect
63. #2011C22semidirect
64. #2011C22semidirect
65. #1999C22semidirect
66. #1972C22semidirect
67. #1936C22semidirect
69. #1874C22semidirect
70. #1874C22semidirect
71. #1853C22semidirect
72. #1817C22semidirect
73. #1797C22semidirect
74. #1797C22semidirect
75. #1786C22semidirect
77. #1749C22semidirect
78. #1749C22semidirect

Maximal subgroups

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

subgroupindex
C2×#28562
C2×#28542
#327192
#303242
#299072
#297552
#297122
#296222
#293342
#283102
#245062
#240052
#239182
#207152