Finite Group Databasebeta

← #6469755

Subgroups — #6469755

Order 512.

1877 conjugacy classes of subgroups.

The subgroup lattice has 803 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#35277C211yesmaximal, characteristic, complemented
2#34226C211yesmaximal, characteristic, complemented
3#29570C214yesmaximal, complemented
4#29206C211yesmaximal, characteristic, complemented
5#29139C211yesmaximal, characteristic, complemented
6#28750C211yesmaximal, characteristic, complemented
7#28443C211yesmaximal, characteristic, complemented
8#27890C211yesmaximal, characteristic, complemented
9#27889C211yesmaximal, characteristic, complemented
10#25599C211yesmaximal, characteristic
11#25597C211yesmaximal, characteristic, complemented
12#24667C214yesmaximal, complemented
13#23583C214yesmaximal, complemented
14#21690C211yesmaximal, characteristic, complemented
15C4×#492C211yesmaximal, characteristic, complemented
16#21647C211yesmaximal, characteristic, complemented
17C4×#486C211yesmaximal, characteristic, complemented
18#21510C214yesmaximal, complemented
19C4×#433C211yesmaximal, characteristic, complemented
20C2×#542C2212yes—
21C2×#532C2211yescharacteristic
22C2×#493C2211yescharacteristic
23C2×#492C2211yescharacteristic
24C2×#487C2211yescharacteristic
25C2×#486C2211yescharacteristic
26C2×#463C2214yes—
27C2×#442C2214yes—
28C2×C4×SD16C2214yes—
29C2×#433C2212yes—
30#2868C2211yescharacteristic
31#2858C2211yescharacteristic
32#2857C2211yescharacteristic
33#2856C2211yescharacteristic
34#2640C2212yes—
35#2620C2212yes—
36#2512—21no—
37#2512—21no—
38#2491—21no—
39#2491—21no—
40#2452—21no—
41#2452—21no—
42#2422—21no—
43#2422—21no—
44#2367—21no—
45#2367—21no—
46#2363—21no—
47#2363—21no—
48#2357—21no—
49#2349—21no—
50#2341—21no—
51#2339—21no—
52#2326C2212yes—
53#2324C2212yes—
54#2324C2212yes—
55#2319C2212yes—
56C4×C4⋊Q8C2211yescharacteristic
57C4×C4⋊Q8C2211yescharacteristic
58C4×C4⋊Q8C2211yescharacteristic
59C4×#127C2211yescharacteristic
60C4×#127C2211yescharacteristic
61C4×#127C2211yescharacteristic
62#2285C2211yescharacteristic
63#2275C2212yes—
64C4×#117C2211yescharacteristic
65#2058C2214yes—
66#2042C2214yes—
67#2035C2214yes—
68#2034C2214yes—
69#2023C2214yes—
70#2012C2214yes—
71#2000C2214yes—
72#1999C2214yes—
73#1990C2211yescharacteristic
74#1990C2211yescharacteristic
75#1983C2214yes—
76#1972C2214yes—
77#1968C2214yes—
78#1957C2211yescharacteristic
79#1957C2211yescharacteristic
80#1957C2211yescharacteristic
81#1957C2211yescharacteristic
82#1956C2211yescharacteristic
83#1956C2211yescharacteristic
84#1948C2214yes—
85#1935C2214yes—
86#1934C2214yes—
87#1927C2214yes—
88#1926C2214yes—
89#1879C2214yes—
90#1877C2214yes—
91#1844C2211yescharacteristic
92#1844C2211yescharacteristic
93#1834C2211yescharacteristic
94#1834C2211yescharacteristic
95#1802C2214yes—
96#1768C2212yes—
97C4×C4⋊C8C2211yescharacteristic
98C4×C4⋊C8C2211yescharacteristic
99#1763C2214yes—
100C4×#102C2214yes—
101#1750C2212yes—
102C4×C22⋊C8C2211yescharacteristic
103C4×C22⋊C8C2211yescharacteristic
104#1746C2212yes—
105C4×#97C2211yescharacteristic
106C42×C8C2211yescharacteristic
107C22×#41—21no—
108C22×SD16C2314yes—
109C22×D8C2314yes—
110#542—48no—
111#532—24no—
112#532—24no—
113C2×C4⋊Q8—21no—
114C2×C4⋊Q8—21no—
115C2×C4⋊Q8C2311yescharacteristic
116C2×C4⋊Q8C2311yescharacteristic
117C2×C4⋊Q8C2312yes—
118C2×#127C2311yescharacteristic
119C2×#127C2311yescharacteristic
120C2×#126—22no—
121C2×#124—22no—
122C2×#124—21no—
123C2×#124C2312yes—
124C2×#124C2312yes—
125C2×#123—22no—
126C2×C22⋊Q8—22no—
127C2×C22⋊Q8C2312yes—
128C2×#121—21no—
129C2×#121—21no—
130C2×#121—21no—
131C2×#121C2312yes—
132C2×#121C2312yes—
133C2×C4×Q8—21no—
134C2×C4×Q8—21no—
135C2×C4×Q8C2312yes—
136C2×C4×D4—21no—
137C2×C4×D4—21no—
138C2×C4×D4—21no—
139C2×C4×D4—21no—
140C2×C4×D4—21no—
141C2×C4×D4—21no—
142C2×C4×D4—21no—
143C2×C4×D4C2312yes—
144C2×C4×D4C2312yes—
145C2×C4×D4C2312yes—
146C2×C4×D4C2312yes—
147C2×#117—21no—
148C2×#117C2311yescharacteristic
149C2×#117C2311yescharacteristic
150C22×C42C2311yescharacteristic
151#493—24no—
152#492—24no—
153#487—24no—
154#486—24no—
155#463—216no—
156#442—48no—
157C4×SD16—48no—
158#433—28no—
159C2×#106C2314yes—
160C2×#106C2314yes—
161C2×C4⋊C8C2312yes—
162C2×C4⋊C8C2312yes—
163C2×#103C2314yes—
164C2×#103C2314yes—
165C2×#103C2314yes—
166C2×#102C2314yes—
167C2×#102C2314yes—
168C2×#102C2314yes—
169C2×#102C2314yes—
170C2×#102C2314yes—
171C2×C22⋊C8C2312yes—
172C2×C22⋊C8C2312yes—
173C2×#97C2312yes—
174C2×#97C2312yes—
175C2×C4×C8C2311yescharacteristic
176C2×C4×C8C2311yescharacteristic
177C2×C4×C8C2311yescharacteristic
178C2×C4×C8C2311yescharacteristic
179C2×C4×C8C2312yes—
180C2×C4×C8C2312yes—
181#397—22no—
182#397—22no—
183#396—22no—
184#396—22no—
185#394—22no—
186#394—22no—
187#393—22no—
188#393—22no—
189#391—21no—
190#391—21no—
191#391C2312yes—
192#391C2312yes—
193#390—22no—
194#390—22no—
195#390—21no—
196#390—21no—
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#390C2312yes—
208#390C2312yes—
209#390C2312yes—
210#390C2312yes—
211#389—21no—
212#389—21no—
213#389—21no—
214#389—21no—
215#389—21no—
216#389—21no—
217#389C2312yes—
218#389C2312yes—
219#388—22no—
220#388—22no—
221#388—22no—
222#388—22no—
223#388—22no—
224#388—22no—
225#386—22no—
226#386—22no—
227#385—22no—
228#385—22no—
229#385—22no—
230#385—22no—
231#384—21no—
232#384—21no—
233#384C2311yescharacteristic
234#384C2311yescharacteristic
235#384C2311yescharacteristic
236#384C2311yescharacteristic
237#384C2312yes—
238#382—21no—
239#381—22no—
240#380—21no—
241#380—21no—
242#380—21no—
243#380—22no—
244#380C2312yes—
245C4×C4⋊C4—21no—
246C4×C4⋊C4—21no—
247C4×C4⋊C4—21no—
248C4×C4⋊C4—21no—
249C4×C4⋊C4—21no—
250C4×C4⋊C4D411yescharacteristic
251C4×C4⋊C4D411yescharacteristic
252C4×C4⋊C4D411yescharacteristic
253C4×C4⋊C4D411yescharacteristic
254C4×C4⋊C4C2312yes—
255C4×C4⋊C4C2312yes—
256C4×C4⋊C4C2312yes—
257C4×C22⋊C4—22no—
258C4×C22⋊C4—22no—
259C4×C22⋊C4—22no—
260C4×C22⋊C4D411yescharacteristic
261C4×C22⋊C4D411yescharacteristic
262C4×C22⋊C4D411yescharacteristic
263C4×C22⋊C4D411yescharacteristic
264#376C2311yescharacteristic
265#376C2311yescharacteristic
266C2×#95—22no—
267C43C2311yescharacteristic
268C43C2311yescharacteristic
269#340C2314yes—
270#340C2314yes—
271#340C2314yes—
272#340C2314yes—
273#336C2312yes—
274#336C2312yes—
275#336C2312yes—
276#336C2312yes—
277C2×#41—28no—
278C2×#41—82no—
279C2×#41—82no—
280C22×Q8—21no—
281C22×Q8—22no—
282C22×Q8C2412yes—
283C22×D4—22no—
284C22×D4—22no—
285C22×D4—21no—
286C22×D4—21no—
287C22×D4—21no—
288C22×D4—21no—
289C22×D4C2412yes—
290C22×D4C2412yes—
291C23×C4—22no—
292C23×C4—22no—
293C23×C4—22no—
294C23×C4—22no—
295C23×C4C2×D411yescharacteristic
296C23×C4C2×D411yescharacteristic
297C23×C4C2411yescharacteristic
298C2×SD16—28no—
299C2×SD16—28no—
300C2×SD16—44no—
301C2×D8—28no—
302C2×D8—28no—
303C2×D8—44no—
304C22×C8C2412yes—
305C22×C8C2412yes—
306C22×C8C2412yes—
307C22×C8C2412yes—
308C4⋊Q8—22no—
309C4⋊Q8—22no—
310C4⋊Q8—22no—
311C4⋊Q8—44no—
312C4⋊Q8—82no—
313C4⋊Q8—82no—
314C4⋊Q8#4114yes—
315#127—22no—
316#127—22no—
317#127—22no—
318#127#4114yes—
319#126—48no—
320#124—28no—
321#124—28no—
322#124—44no—
323#124—48no—
324#123—48no—
325C22⋊Q8—44no—
326C22⋊Q8—48no—
327#121—28no—
328#121—24no—
329#121—24no—
330#121—44no—
331#121—82no—
332#121—82no—
333C4×Q8—28no—
334C4×Q8—82no—
335C4×Q8—82no—
336C4×D4—28no—
337C4×D4—24no—
338C4×D4—24no—
339C4×D4—28no—
340C4×D4—28no—
341C4×D4—28no—
342C4×D4—82no—
343C4×D4—82no—
344C4×D4—82no—
345C4×D4—82no—
346C4×D4—82no—
347C4×D4—82no—
348#117—24no—
349#117—24no—
350#117—82no—
351C2×C4⋊C4—21no—
352C2×C4⋊C4—21no—
353C2×C4⋊C4—21no—
354C2×C4⋊C4—21no—
355C2×C4⋊C4—21no—
356C2×C4⋊C4—21no—
357C2×C4⋊C4—21no—
358C2×C4⋊C4—22no—
359C2×C4⋊C4—21no—
360C2×C4⋊C4—21no—
361C2×C4⋊C4—22no—
362C2×C4⋊C4—22no—
363C2×C4⋊C4—21no—
364C2×C4⋊C4—21no—
365C2×C4⋊C4—22no—
366C2×C4⋊C4—22no—
367C2×C4⋊C4—22no—
368C2×C4⋊C4—22no—
369C2×C4⋊C4C2×D411yescharacteristic
370C2×C4⋊C4C2×D411yescharacteristic
371C2×C4⋊C4C2×D411yescharacteristic
372C2×C4⋊C4C2×D411yescharacteristic
373C2×C4⋊C4C2412yes—
374C2×C4⋊C4C2412yes—
375C2×C4⋊C4C2412yes—
376C2×C4⋊C4C2412yes—
377C2×C4⋊C4C2412yes—
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⋊C4—22no—
397C2×C22⋊C4—22no—
398C2×C22⋊C4C2×D411yescharacteristic
399C2×C22⋊C4C2×D411yescharacteristic
400C2×C22⋊C4C2×D411yescharacteristic
401C2×C22⋊C4C2×D411yescharacteristic
402C2×C42—22no—
403C2×C42—22no—
404C2×C42—22no—
405C2×C42—22no—
406C2×C42—22no—
407C2×C42—22no—
408C2×C42C2×D411yescharacteristic
409C2×C42C2×D411yescharacteristic
410C2×C42C2×D411yescharacteristic
411C2×C42C2×D411yescharacteristic
412C2×C42C2×D411yescharacteristic
413C2×C42C2×D411yescharacteristic
414C2×C42C2×D411yescharacteristic
415C2×C42C2×D411yescharacteristic
416C2×C42C2×D411yescharacteristic
417C2×C42C2×D411yescharacteristic
418C2×C42C2411yescharacteristic
419C2×C42C2411yescharacteristic
420C2×C42C2411yescharacteristic
421C2×C42C2411yescharacteristic
422C2×C42C2411yescharacteristic
423C2×C42C2411yescharacteristic
424#106—44no—
425#106—44no—
426C4⋊C8—24no—
427C4⋊C8#4118yescomplemented
428#103—28no—
429#103—28no—
430#103—44no—
431#102—28no—
432#102—28no—
433#102—44no—
434#102—44no—
435#102—44no—
436C22⋊C8—24no—
437C22⋊C8—24no—
438#97—24no—
439#97—24no—
440C4×C8—24no—
441C4×C8—22no—
442C4×C8—22no—
443C4×C8—22no—
444C4×C8—22no—
445C4×C8—24no—
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#95—22no—
455#95—22no—
456#95C2×D411yescharacteristic
457#95C2×D411yescharacteristic
458#95C2×D411yescharacteristic
459#95C2×D411yescharacteristic
460#95C2×D411yescharacteristic
461#95C2×D411yescharacteristic
462#95C2×D411yescharacteristic
463#95C2×D411yescharacteristic
464C24—22no—
465C24—22no—
466C24C22×D411yescharacteristic
467#41—816no—
468C2×Q8—24no—
469C2×Q8—22no—
470C2×Q8—24no—
471C2×Q8—22no—
472C2×Q8—24no—
473C2×Q8—44no—
474C2×Q8—42no—
475C2×Q8—42no—
476C2×Q8—82no—
477C2×Q8—82no—
478C2×D4—28no—
479C2×D4—24no—
480C2×D4—24no—
481C2×D4—24no—
482C2×D4—22no—
483C2×D4—22no—
484C2×D4—24no—
485C2×D4—22no—
486C2×D4—24no—
487C2×D4—24no—
488C2×D4—44no—
489C2×D4—42no—
490C2×D4—42no—
491C2×D4—42no—
492C2×D4—42no—
493C2×D4—42no—
494C2×D4—42no—
495C2×D4—42no—
496C2×D4—42no—
497C2×D4—42no—
498C2×D4—42no—
499C2×D4—82no—
500C2×D4—82no—
501C2×D4—82no—
502C2×D4—82no—
503C2×D4C2×#4114yes—
504C22×C4—22no—
505C22×C4—28no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—22no—
509C22×C4—22no—
510C22×C4—22no—
511C22×C4—22no—
512C22×C4—22no—
513C22×C4—21no—
514C22×C4—21no—
515C22×C4—22no—
516C22×C4—22no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—22no—
520C22×C4—22no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—82no—
525C22×C4—82no—
526C22×C4—82no—
527C22×C4—82no—
528C22×C4—82no—
529C22×C4—82no—
530C22×C4—82no—
531C22×C4—82no—
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×C4C22×D411yescharacteristic
543C22×C4C22×D411yescharacteristic
544C22×C4C22×D411yescharacteristic
545C22×C4C2511yescharacteristic
546SD16—416no—
547D8—416no—
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×C8—22no—
558C2×C8C2×#4114yes—
559C2×C8C2×#4114yes—
560C4⋊C4—24no—
561C4⋊C4—22no—
562C4⋊C4—22no—
563C4⋊C4—22no—
564C4⋊C4—22no—
565C4⋊C4—22no—
566C4⋊C4—24no—
567C4⋊C4—24no—
568C4⋊C4—24no—
569C4⋊C4—24no—
570C4⋊C4—44no—
571C4⋊C4—44no—
572C4⋊C4—42no—
573C4⋊C4—42no—
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—82no—
584C4⋊C4—82no—
585C4⋊C4—82no—
586C4⋊C4—82no—
587C4⋊C4C2×#4114yes—
588C22⋊C4—28no—
589C22⋊C4—28no—
590C22⋊C4—22no—
591C22⋊C4—22no—
592C22⋊C4—22no—
593C22⋊C4—22no—
594C22⋊C4—44no—
595C22⋊C4—44no—
596C22⋊C4—44no—
597C22⋊C4—44no—
598C22⋊C4—44no—
599C22⋊C4—44no—
600C22⋊C4—44no—
601C22⋊C4—44no—
602C22⋊C4—44no—
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—
612C42—22no—
613C42—22no—
614C42—22no—
615C42—22no—
616C42—22no—
617C42—22no—
618C42—22no—
619C42—22no—
620C42—22no—
621C42—22no—
622C42—22no—
623C42—21no—
624C42—21no—
625C42—22no—
626C42—44no—
627C42—82no—
628C42—82no—
629C42—82no—
630C42C2×#4112yes—
631C42C2×#4112yes—
632C42C2×#4114yes—
633C42H(5,𝔽2)14yes—
634C23—24no—
635C23—21no—
636C23—21no—
637C23—21no—
638C23—21no—
639C23—21no—
640C23—21no—
641C23—21no—
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—42no—
655C23C23×D411yescharacteristic
656Q8—48no—
657Q8—44no—
658Q8—44no—
659Q8—164no—
660D4—28no—
661D4—48no—
662D4—48no—
663D4—44no—
664D4—44no—
665D4—44no—
666D4—88no—
667D4—84no—
668D4—84no—
669D4—164no—
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—24no—
682C2×C4—21no—
683C2×C4—21no—
684C2×C4—21no—
685C2×C4—21no—
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—21no—
699C2×C4—21no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—44no—
703C2×C4—44no—
704C2×C4—42no—
705C2×C4—42no—
706C2×C4—42no—
707C2×C4—42no—
708C2×C4—42no—
709C2×C4—42no—
710C2×C4—42no—
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—88no—
722C2×C4—164no—
723C2×C4—164no—
724C2×C4—164no—
725C2×C4#52512yes—
726C2×C4#52512yes—
727C2×C4#53212yes—
728C2×C4#53212yes—
729C2×C4#53512yes—
730C2×C4#53512yes—
731C2×C4#57612yes—
732C2×C4#57712yes—
733C2×C4#57712yes—
734C2×C4#57712yes—
735C2×C4C22×#4111yescharacteristic
736C2×C4C22×#4112yes—
737C2×C4C22×#4111yescharacteristic
738C2×C4C2×H(5,𝔽2)12yes—
739C8—24no—
740C8—24no—
741C8—42no—
742C8—42no—
743C22—41no—
744C22—41no—
745C22—41no—
746C22—44no—
747C22—41no—
748C22—44no—
749C22—41no—
750C22—41no—
751C22—41no—
752C22—44no—
753C22—82no—
754C22—82no—
755C22—82no—
756C22—82no—
757C22—82no—
758C22—82no—
759C22—82no—
760C22—82no—
761C22—82no—
762C22—82no—
763C22—82no—
764C22C2×#52511yescharacteristic
765C22C2×#53211yescharacteristic
766C22C2×#53511yescharacteristic
767C22C2×#57611yescharacteristic
768C22C2×#57711yescharacteristic
769C22C2×#57711yescharacteristic
770C22C2×#57711yescharacteristic
771C4—22no—
772C4—22no—
773C4—22no—
774C4—22no—
775C4—41no—
776C4—41no—
777C4—41no—
778C4—44no—
779C4—41no—
780C4—41no—
781C4—41no—
782C4—41no—
783C4—82no—
784C4—82no—
785C4—82no—
786C4—82no—
787C4—82no—
788C4#311814yes—
789C4#312514yes—
790C4#348112yes—
791C4#348312yes—
792C2—81no—
793C2—84no—
794C2—162no—
795C2#3497711yescharacteristic
796C2C2×#311811yescharacteristic
797C2C2×#312511yescharacteristic
798C2#6071611yescharacteristic
799C2#6072211yescharacteristic
800C2#6082011yescharacteristic
801C2#6082211yescharacteristic
subgroupG/H
center, socleC23C23×D4
commutator, Frattini, cosocleC22×C4C25
prime radical#25599C2
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. #35277C2semidirect
2. #34226C2semidirect
3. #29570C2semidirect
4. #29206C2semidirect
5. #29139C2semidirect
6. #28750C2semidirect
7. #28443C2semidirect
8. #27890C2semidirect
9. #27889C2semidirect
11. #25597C2semidirect
12. #24667C2semidirect
13. #23583C2semidirect
14. #21690C2semidirect
15. C4×#492C2semidirect
16. #21647C2semidirect
17. C4×#486C2semidirect
18. #21510C2semidirect
19. C4×#433C2semidirect
427. C4⋊C8#41semidirect

Maximal subgroups

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

subgroupindex
#352772
#342262
#295702
#292062
#291392
#287502
#284432
#278902
#278892
#255992
#255972
#246672
#235832
#216902
C4×#4922
#216472
C4×#4862
#215102
C4×#4332