Finite Group Databasebeta

← #637550

Subgroups — #637550

Order 512.

4066 conjugacy classes of subgroups.

The subgroup lattice has 822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#2848C211yesmaximal, characteristic
2C2×#2583C211yesmaximal, characteristic, complemented
3C22×#385C211yesmaximal, characteristic
4C2×#2280C211yesmaximal, characteristic
5#16399C212yesmaximal, complemented
6#16393C212yesmaximal, complemented
7#16264C212yesmaximal, complemented
8#16262C212yesmaximal, complemented
9#14920C212yesmaximal, complemented
10#14907C214yesmaximal, complemented
11#14728C212yesmaximal, complemented
12#14727C212yesmaximal
13#14727C212yesmaximal
14#14313C214yesmaximal, complemented
15#14159C211yesmaximal, characteristic, complemented
16#13966C211yesmaximal, characteristic, complemented
17#13923C211yesmaximal, characteristic, complemented
18C25×C4C2211yescharacteristic
19C22×C22⋊Q8C2211yescharacteristic
20C22×C22⋊Q8C2211yescharacteristic
21C22×C22⋊Q8C2211yescharacteristic
22C22×#117C2212yes—
23C23×C4⋊C4C2211yescharacteristic
24C23×C4⋊C4C2211yescharacteristic
25C23×C22⋊C4C2211yescharacteristic
26C23×C22⋊C4C2211yescharacteristic
27#2848—28no—
28#2583—28no—
29C2×#398C2212yescomplemented
30C2×#398C2214yescomplemented
31C2×#397C2214yes—
32C2×#397C2214yes—
33C2×#395C2212yescomplemented
34C2×#389C2214yescomplemented
35C2×#385—28no—
36C2×#385C2212yes—
37C2×#385C2212yes—
38C2×#385C2212yes—
39C2×#385C2212yes—
40C2×#385C2212yes—
41C2×#385C2212yes—
42C2×#385C2212yes—
43C2×#385C2212yes—
44C2×#385C2212yes—
45#2280—28no—
46C2×#381C2212yes—
47C2×#380C2211yescharacteristic
48C2×#380C2211yescharacteristic
49C2×#380C2211yescharacteristic
50C2×#380C2212yes—
51C2×#380C2212yes—
52C2×#379C2212yes—
53C2×#379C2212yes—
54C2×C4×C22⋊C4C2211yescharacteristic
55C2×C4×C22⋊C4C2212yes—
56C2×C4×C22⋊C4C2211yescharacteristic
57C22×#95C2211yescharacteristic
58C22×#95C2211yescharacteristic
59#1446C2212yescomplemented
60#1445C2212yescomplemented
61#1445C2214yescomplemented
62#1444C2214yescomplemented
63#1442C2214yescomplemented
64#1442C2212yescomplemented
65#1442C2212yescomplemented
66#1442C2214yescomplemented
67#1441C2212yescomplemented
68#1441C2214yescomplemented
69#1441C2214yescomplemented
70#1441C2212yescomplemented
71#1441C2214yescomplemented
72#1440C2214yes—
73#1440C2214yes—
74#1440C2214yes—
75#1440C2214yes—
76#1439C2214yes—
77#1439C2214yes—
78#1436C2214yescomplemented
79#1436C2214yescomplemented
80#1434C2214yescomplemented
81C22⋊#95C2212yes—
82C22⋊#95C2212yes—
83C22⋊#95C2212yes—
84C22⋊#95C2212yes—
85C22⋊#95C2212yes—
86C22⋊#95C2212yes—
87C26C2311yescharacteristic
88C23×Q8C2311yescharacteristic
89C24×C4—24no—
90C24×C4—24no—
91C24×C4—44no—
92C24×C4—44no—
93C24×C4D418yes—
94C24×C4C2311yescharacteristic
95C24×C4C2311yescharacteristic
96C24×C4C2311yescharacteristic
97C24×C4C2311yescharacteristic
98C24×C4C2311yescharacteristic
99C24×C4C2311yescharacteristic
100C24×C4C2311yescharacteristic
101C24×C4C2311yescharacteristic
102C24×C4C2311yescharacteristic
103C24×C4C2311yescharacteristic
104C2×C22⋊Q8—24no—
105C2×C22⋊Q8—24no—
106C2×C22⋊Q8—24no—
107C2×C22⋊Q8—24no—
108C2×C22⋊Q8—24no—
109C2×C22⋊Q8—44no—
110C2×C22⋊Q8—44no—
111C2×#117—28no—
112C2×#117—44no—
113C2×#117—44no—
114C22×C4⋊C4—24no—
115C22×C4⋊C4—24no—
116C22×C4⋊C4—24no—
117C22×C4⋊C4—24no—
118C22×C4⋊C4—44no—
119C22×C4⋊C4C2312yes—
120C22×C4⋊C4C2312yes—
121C22×C4⋊C4C2312yes—
122C22×C4⋊C4C2311yescharacteristic
123C22×C4⋊C4C2312yes—
124C22×C4⋊C4C2312yes—
125C22×C4⋊C4C2314yes—
126C22×C4⋊C4C2314yes—
127C22×C4⋊C4C2314yes—
128C22×C4⋊C4C2312yes—
129C22×C4⋊C4C2311yescharacteristic
130C22×C4⋊C4C2311yescharacteristic
131C22×C4⋊C4C2312yes—
132C22×C22⋊C4—24no—
133C22×C22⋊C4—28no—
134C22×C22⋊C4—24no—
135C22×C22⋊C4—44no—
136C22×C22⋊C4C2312yes—
137C22×C22⋊C4C2312yes—
138C22×C22⋊C4C2312yes—
139C22×C22⋊C4C2312yes—
140C22×C22⋊C4C2312yes—
141C22×C22⋊C4C2312yes—
142C22×C22⋊C4C2312yes—
143C22×C22⋊C4C2314yes—
144C22×C22⋊C4C2314yes—
145C22×C22⋊C4C2312yes—
146C22×C22⋊C4C2312yes—
147C22×C22⋊C4C2312yes—
148C22×C22⋊C4C2312yes—
149C22×C22⋊C4C2312yes—
150C22×C42C2312yes—
151C22×C42C2312yes—
152#398—28no—
153#398—48no—
154#397—216no—
155#397—48no—
156#395—28no—
157#389—216no—
158#385—28no—
159#385—28no—
160#385—28no—
161#385—28no—
162#385—28no—
163#385—28no—
164#385—28no—
165#385—28no—
166#385—28no—
167#381—28no—
168#380—24no—
169#380—24no—
170#380—24no—
171#380—28no—
172#380—28no—
173#379—28no—
174#379—28no—
175C4×C22⋊C4—24no—
176C4×C22⋊C4—28no—
177C4×C22⋊C4D418yes—
178C2×#95—24no—
179C2×#95—24no—
180C2×#95C2314yes—
181C2×#95C2314yes—
182C2×#95C2314yes—
183C2×#95C2314yes—
184C2×#95C2314yes—
185C2×#95C2312yes—
186C2×#95C2312yes—
187C2×#95C2312yes—
188C2×#95C2312yes—
189C2×#95C2312yes—
190C2×#95C2314yes—
191C2×#95C2312yes—
192C2×#95C2312yes—
193C2×#95C2312yes—
194C2×#95C2314yes—
195C2×#95C2314yes—
196C2×#95C2314yes—
197C2×#95C2314yes—
198C2×#95C2314yes—
199C2×#95C2314yes—
200C2×#95C2314yes—
201C2×#95C2314yes—
202C2×#95C2314yes—
203C2×#95C2312yes—
204C25—24no—
205C25—24no—
206C25—24no—
207C25—22no—
208C25—22no—
209C25—24no—
210C25—42no—
211C25—42no—
212C25C2×D414yes—
213C25C2411yescharacteristic
214C25C2411yescharacteristic
215C25C2411yescharacteristic
216C22×Q8—22no—
217C22×Q8—22no—
218C22×Q8—22no—
219C22×Q8—42no—
220C22×Q8—42no—
221C23×C4—24no—
222C23×C4—22no—
223C23×C4—22no—
224C23×C4—24no—
225C23×C4—22no—
226C23×C4—22no—
227C23×C4—22no—
228C23×C4—22no—
229C23×C4—24no—
230C23×C4—232no—
231C23×C4—22no—
232C23×C4—22no—
233C23×C4—22no—
234C23×C4—24no—
235C23×C4—24no—
236C23×C4—22no—
237C23×C4—22no—
238C23×C4—22no—
239C23×C4—24no—
240C23×C4—24no—
241C23×C4—22no—
242C23×C4—22no—
243C23×C4—22no—
244C23×C4—22no—
245C23×C4—24no—
246C23×C4—22no—
247C23×C4—22no—
248C23×C4—24no—
249C23×C4—416no—
250C23×C4—42no—
251C23×C4—416no—
252C23×C4—42no—
253C23×C4—42no—
254C23×C4—42no—
255C23×C4—42no—
256C23×C4—42no—
257C23×C4—42no—
258C23×C4—42no—
259C23×C4—42no—
260C23×C4—42no—
261C23×C4—42no—
262C23×C4—42no—
263C23×C4—42no—
264C23×C4—432no—
265C23×C4—432no—
266C23×C4C2×D414yes—
267C23×C4C2×D414yes—
268C23×C4C2×D414yes—
269C23×C4C2×D414yes—
270C23×C4C2×D414yes—
271C23×C4C2×D414yes—
272C23×C4C2×D414yes—
273C23×C4#4114yes—
274C23×C4C2412yes—
275C23×C4C2412yes—
276C23×C4C2412yes—
277C23×C4C2412yes—
278C23×C4C2414yes—
279C23×C4C2412yes—
280C23×C4C2412yes—
281C23×C4C2414yes—
282C23×C4C2411yescharacteristic
283C23×C4C2412yes—
284C23×C4C2412yes—
285C23×C4C2411yescharacteristic
286C23×C4C2411yescharacteristic
287C23×C4C2411yescharacteristic
288C22⋊Q8—416no—
289C22⋊Q8—416no—
290C22⋊Q8—416no—
291#117—432no—
292C2×C4⋊C4—24no—
293C2×C4⋊C4—24no—
294C2×C4⋊C4—24no—
295C2×C4⋊C4—24no—
296C2×C4⋊C4—24no—
297C2×C4⋊C4—24no—
298C2×C4⋊C4—28no—
299C2×C4⋊C4—22no—
300C2×C4⋊C4—22no—
301C2×C4⋊C4—22no—
302C2×C4⋊C4—24no—
303C2×C4⋊C4—24no—
304C2×C4⋊C4—24no—
305C2×C4⋊C4—24no—
306C2×C4⋊C4—22no—
307C2×C4⋊C4—28no—
308C2×C4⋊C4—24no—
309C2×C4⋊C4—24no—
310C2×C4⋊C4—22no—
311C2×C4⋊C4—24no—
312C2×C4⋊C4—28no—
313C2×C4⋊C4—28no—
314C2×C4⋊C4—28no—
315C2×C4⋊C4—28no—
316C2×C4⋊C4—28no—
317C2×C4⋊C4—44no—
318C2×C4⋊C4—44no—
319C2×C4⋊C4—44no—
320C2×C4⋊C4—42no—
321C2×C4⋊C4—42no—
322C2×C4⋊C4—44no—
323C2×C4⋊C4—416no—
324C2×C4⋊C4—416no—
325C2×C4⋊C4—44no—
326C2×C4⋊C4—44no—
327C2×C22⋊C4—232no—
328C2×C22⋊C4—24no—
329C2×C22⋊C4—24no—
330C2×C22⋊C4—24no—
331C2×C22⋊C4—24no—
332C2×C22⋊C4—24no—
333C2×C22⋊C4—24no—
334C2×C22⋊C4—24no—
335C2×C22⋊C4—24no—
336C2×C22⋊C4—24no—
337C2×C22⋊C4—24no—
338C2×C22⋊C4—24no—
339C2×C22⋊C4—24no—
340C2×C22⋊C4—24no—
341C2×C22⋊C4—24no—
342C2×C22⋊C4—24no—
343C2×C22⋊C4—24no—
344C2×C22⋊C4—24no—
345C2×C22⋊C4—24no—
346C2×C22⋊C4—28no—
347C2×C22⋊C4—28no—
348C2×C22⋊C4—28no—
349C2×C22⋊C4—28no—
350C2×C22⋊C4—28no—
351C2×C22⋊C4—24no—
352C2×C22⋊C4—28no—
353C2×C22⋊C4—24no—
354C2×C22⋊C4—28no—
355C2×C22⋊C4—28no—
356C2×C22⋊C4—44no—
357C2×C22⋊C4—44no—
358C2×C22⋊C4—44no—
359C2×C22⋊C4—44no—
360C2×C22⋊C4—44no—
361C2×C22⋊C4—416no—
362C2×C22⋊C4C2×D418yes—
363C2×C22⋊C4#4118yes—
364C2×C42—24no—
365C2×C42—42no—
366C2×C42—42no—
367C2×C42—42no—
368C2×C42—42no—
369C2×C42C2×D418yes—
370#95—24no—
371#95—24no—
372#95—24no—
373#95—24no—
374#95—28no—
375#95—24no—
376#95—24no—
377#95—24no—
378#95—24no—
379#95—28no—
380#95—28no—
381#95—28no—
382#95—28no—
383#95—28no—
384#95—44no—
385#95—44no—
386#95—44no—
387#95—44no—
388#95—44no—
389#95—44no—
390#95—44no—
391#95—44no—
392#95—44no—
393#95C2×D418yes—
394C24—22no—
395C24—22no—
396C24—22no—
397C24—22no—
398C24—232no—
399C24—28no—
400C24—28no—
401C24—28no—
402C24—21no—
403C24—21no—
404C24—22no—
405C24—21no—
406C24—21no—
407C24—22no—
408C24—22no—
409C24—22no—
410C24—22no—
411C24—22no—
412C24—22no—
413C24—22no—
414C24—22no—
415C24—22no—
416C24—28no—
417C24—28no—
418C24—44no—
419C24—44no—
420C24—48no—
421C24—48no—
422C24—48no—
423C24—48no—
424C24—416no—
425C24—416no—
426C24—416no—
427C24—48no—
428C24—48no—
429C24C22×D412yes—
430C24C22×D412yes—
431C24C22×D412yes—
432C24C22×D412yes—
433C24C2×#4114yes—
434C24C2×#4112yes—
435C24H(5,𝔽2)14yes—
436C242−1+414yes—
437C242−1+414yes—
438C24C2511yescharacteristic
439C2×Q8—44no—
440C2×Q8—44no—
441C2×Q8—44no—
442C2×Q8—84no—
443C2×Q8—84no—
444C22×C4—216no—
445C22×C4—216no—
446C22×C4—28no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—22no—
450C22×C4—22no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—28no—
455C22×C4—28no—
456C22×C4—28no—
457C22×C4—28no—
458C22×C4—28no—
459C22×C4—28no—
460C22×C4—21no—
461C22×C4—22no—
462C22×C4—22no—
463C22×C4—22no—
464C22×C4—24no—
465C22×C4—22no—
466C22×C4—22no—
467C22×C4—22no—
468C22×C4—21no—
469C22×C4—24no—
470C22×C4—24no—
471C22×C4—24no—
472C22×C4—22no—
473C22×C4—22no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—24no—
477C22×C4—22no—
478C22×C4—24no—
479C22×C4—22no—
480C22×C4—28no—
481C22×C4—28no—
482C22×C4—28no—
483C22×C4—28no—
484C22×C4—28no—
485C22×C4—22no—
486C22×C4—24no—
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—24no—
496C22×C4—24no—
497C22×C4—24no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—24no—
502C22×C4—24no—
503C22×C4—24no—
504C22×C4—24no—
505C22×C4—24no—
506C22×C4—24no—
507C22×C4—24no—
508C22×C4—24no—
509C22×C4—24no—
510C22×C4—24no—
511C22×C4—24no—
512C22×C4—24no—
513C22×C4—24no—
514C22×C4—24no—
515C22×C4—24no—
516C22×C4—24no—
517C22×C4—22no—
518C22×C4—22no—
519C22×C4—24no—
520C22×C4—44no—
521C22×C4—44no—
522C22×C4—44no—
523C22×C4—44no—
524C22×C4—44no—
525C22×C4—44no—
526C22×C4—44no—
527C22×C4—48no—
528C22×C4—48no—
529C22×C4—48no—
530C22×C4—48no—
531C22×C4—48no—
532C22×C4—48no—
533C22×C4—416no—
534C22×C4—48no—
535C22×C4—48no—
536C22×C4—48no—
537C22×C4—48no—
538C22×C4—4128no—
539C22×C4—48no—
540C22×C4—48no—
541C22×C4—44no—
542C22×C4—44no—
543C22×C4—44no—
544C22×C4—44no—
545C22×C4—44no—
546C22×C4—44no—
547C22×C4—44no—
548C22×C4—44no—
549C22×C4—44no—
550C22×C4—44no—
551C22×C4—84no—
552C22×C4—84no—
553C22×C4—88no—
554C22×C4#121116yes—
555C22×C4C22×D412yes—
556C22×C4C22×D418yes—
557C22×C4C22×D412yes—
558C22×C4C22×D412yes—
559C22×C4C22×D412yes—
560C22×C4C22×D412yes—
561C22×C4C22×D412yes—
562C22×C4C2×#4114yes—
563C22×C4C2×#4114yes—
564C22×C4C2×#4112yes—
565C22×C4C2×#4112yes—
566C22×C4H(5,𝔽2)14yes—
567C4⋊C4—416no—
568C4⋊C4—416no—
569C4⋊C4—48no—
570C4⋊C4—44no—
571C4⋊C4—44no—
572C4⋊C4—48no—
573C4⋊C4—48no—
574C4⋊C4—48no—
575C4⋊C4—44no—
576C4⋊C4—48no—
577C4⋊C4—48no—
578C4⋊C4—48no—
579C4⋊C4—88no—
580C22⋊C4—216no—
581C22⋊C4—216no—
582C22⋊C4—216no—
583C22⋊C4—416no—
584C22⋊C4—416no—
585C22⋊C4—48no—
586C22⋊C4—48no—
587C22⋊C4—48no—
588C22⋊C4—48no—
589C22⋊C4—48no—
590C22⋊C4—48no—
591C22⋊C4—48no—
592C22⋊C4—48no—
593C22⋊C4—48no—
594C42—48no—
595C42—48no—
596C23—22no—
597C23—22no—
598C23—22no—
599C23—22no—
600C23—24no—
601C23—24no—
602C23—24no—
603C23—24no—
604C23—28no—
605C23—28no—
606C23—28no—
607C23—28no—
608C23—232no—
609C23—22no—
610C23—22no—
611C23—22no—
612C23—22no—
613C23—22no—
614C23—22no—
615C23—22no—
616C23—22no—
617C23—22no—
618C23—22no—
619C23—22no—
620C23—22no—
621C23—24no—
622C23—24no—
623C23—24no—
624C23—24no—
625C23—28no—
626C23—28no—
627C23—28no—
628C23—28no—
629C23—416no—
630C23—416no—
631C23—416no—
632C23—416no—
633C23—416no—
634C23—464no—
635C23—464no—
636C23—416no—
637C23—42no—
638C23—42no—
639C23—42no—
640C23—42no—
641C23—42no—
642C23—42no—
643C23—42no—
644C23—42no—
645C23—44no—
646C23—44no—
647C23—44no—
648C23—44no—
649C23C2×#12114yes—
650C23#52514yes—
651C23#53414yes—
652C23#53618yes—
653C23#53614yes—
654C23#53614yes—
655C23#54118yes—
656C23C23×D411yescharacteristic
657C23C23×D411yescharacteristic
658C23C22×#4111yescharacteristic
659C23C22×#4112yes—
660C23C2×H(5,𝔽2)12yes—
661C23C2×H(5,𝔽2)12yes—
662C23C2×2−1+412yes—
663C23C2×2−1+412yes—
664C23#58512yes—
665Q8—88no—
666C2×C4—232no—
667C2×C4—22no—
668C2×C4—22no—
669C2×C4—22no—
670C2×C4—22no—
671C2×C4—22no—
672C2×C4—22no—
673C2×C4—24no—
674C2×C4—24no—
675C2×C4—24no—
676C2×C4—24no—
677C2×C4—24no—
678C2×C4—24no—
679C2×C4—22no—
680C2×C4—24no—
681C2×C4—24no—
682C2×C4—22no—
683C2×C4—22no—
684C2×C4—28no—
685C2×C4—28no—
686C2×C4—24no—
687C2×C4—24no—
688C2×C4—28no—
689C2×C4—28no—
690C2×C4—416no—
691C2×C4—416no—
692C2×C4—416no—
693C2×C4—416no—
694C2×C4—416no—
695C2×C4—416no—
696C2×C4—416no—
697C2×C4—42no—
698C2×C4—42no—
699C2×C4—42no—
700C2×C4—42no—
701C2×C4—42no—
702C2×C4—42no—
703C2×C4—42no—
704C2×C4—42no—
705C2×C4—44no—
706C2×C4—44no—
707C2×C4—44no—
708C2×C4—44no—
709C2×C4—44no—
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—42no—
722C2×C4—42no—
723C2×C4—44no—
724C2×C4—42no—
725C2×C4—42no—
726C2×C4—42no—
727C2×C4—42no—
728C2×C4—42no—
729C2×C4—44no—
730C2×C4—44no—
731C2×C4—44no—
732C2×C4—44no—
733C2×C4—44no—
734C2×C4—44no—
735C2×C4—44no—
736C2×C4—44no—
737C2×C4—44no—
738C2×C4—48no—
739C2×C4—44no—
740C2×C4—44no—
741C2×C4—44no—
742C2×C4—44no—
743C2×C4—48no—
744C2×C4—44no—
745C2×C4—88no—
746C2×C4—88no—
747C2×C4C2×#12114yes—
748C2×C4C2×#12114yes—
749C2×C4#53414yes—
750C22—24no—
751C22—24no—
752C22—24no—
753C22—24no—
754C22—24no—
755C22—216no—
756C22—24no—
757C22—216no—
758C22—24no—
759C22—24no—
760C22—24no—
761C22—24no—
762C22—24no—
763C22—24no—
764C22—464no—
765C22—42no—
766C22—42no—
767C22—42no—
768C22—42no—
769C22—42no—
770C22—42no—
771C22—42no—
772C22—42no—
773C22—48no—
774C22—48no—
775C22—48no—
776C22—48no—
777C22#262118yes—
778C22C22×#12111yescharacteristic
779C22C2×#52511yescharacteristic
780C22C2×#53411yescharacteristic
781C22C2×#53411yescharacteristic
782C22C2×#53611yescharacteristic
783C22C2×#53611yescharacteristic
784C22C2×#53612yes—
785C22#344911yescharacteristic
786C22C2×#54112yes—
787C22D4×#4112yes—
788C22#347512yes—
789C22#348412yes—
790C22#349012yes—
791C22#349214yes—
792C22#352014yes—
793C22#353514yes—
794C22#354114yes—
795C4—24no—
796C4—24no—
797C4—24no—
798C4—44no—
799C4—42no—
800C4—44no—
801C4—48no—
802C4—82no—
803C4—82no—
804C4—82no—
805C4—82no—
806C4—82no—
807C4—84no—
808C4—82no—
809C2—28no—
810C2—44no—
811C2—44no—
812C2C2×#262111yescharacteristic
813C2#3473711yescharacteristic
814C2#3498111yescharacteristic
815C2#3505711yescharacteristic
816C2#3508411yescharacteristic
817C2#3743811yescharacteristic
818C2#3744111yescharacteristic
819C2#3835914yes—
820C2#3838914yes—
subgroupG/H
center, commutator, Frattini, socle, cosocleC24C25
prime radicalC26C23
LCSG ▷ C24 ▷ C1
UCSC1 ◁ C24 ◁ G
LECSG ▷ C24 ▷ C1

Complements

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

NH ≅ G/Ntype
2. C2×#2583C2semidirect
5. #16399C2semidirect
6. #16393C2semidirect
7. #16264C2semidirect
8. #16262C2semidirect
9. #14920C2semidirect
10. #14907C2semidirect
11. #14728C2semidirect
14. #14313C2semidirect
15. #14159C2semidirect
16. #13966C2semidirect
17. #13923C2semidirect
29. C2×#398C22semidirect
30. C2×#398C22semidirect
33. C2×#395C22semidirect
34. C2×#389C22semidirect
59. #1446C22semidirect
60. #1445C22semidirect
61. #1445C22semidirect
62. #1444C22semidirect
63. #1442C22semidirect
64. #1442C22semidirect
65. #1442C22semidirect
66. #1442C22semidirect
67. #1441C22semidirect
68. #1441C22semidirect
69. #1441C22semidirect
70. #1441C22semidirect
71. #1441C22semidirect
78. #1436C22semidirect
79. #1436C22semidirect
80. #1434C22semidirect

Maximal subgroups

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

subgroupindex
C2×#28482
C2×#25832
C22×#3852
C2×#22802
#163992
#163932
#162642
#162622
#149202
#149072
#147282
#147272
#143132
#141592
#139662
#139232