Finite Group Databasebeta

← #367518

Subgroups — #367518

Order 512.

1164 conjugacy classes of subgroups.

The subgroup lattice has 745 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#1949C211yesmaximal, characteristic
2C2×#1949C211yesmaximal, characteristic
3C2×#1942C211yesmaximal, characteristic
4C2×#1941C211yesmaximal, characteristic
5C2×C8×C4⋊C4C211yesmaximal, characteristic
6#14150C211yesmaximal, characteristic
7#13954C211yesmaximal, characteristic
8#11328C211yesmaximal, characteristic
9#11327C211yesmaximal, characteristic
10#11220C211yesmaximal, characteristic
11#11219C211yesmaximal, characteristic
12#10880C211yesmaximal, characteristic
13#10880C211yesmaximal, characteristic
14#10842C211yesmaximal, characteristic
15C4×#340C211yesmaximal, characteristic
16C22×#107C2211yescharacteristic
17C22×#107C2211yescharacteristic
18C22×#106C2211yescharacteristic
19C22×#106C2211yescharacteristic
20C22×C4⋊C8C2211yescharacteristic
21C22×C4×C8C2211yescharacteristic
22C22×C4×C8C2211yescharacteristic
23C22×C4×C8C2211yescharacteristic
24C2×#389C2211yescharacteristic
25C2×#389C2211yescharacteristic
26C2×#389C2211yescharacteristic
27C2×#389C2211yescharacteristic
28C2×#389C2211yescharacteristic
29C2×#389C2211yescharacteristic
30C2×#382C2211yescharacteristic
31C2×#382C2211yescharacteristic
32C2×C4×C4⋊C4C2211yescharacteristic
33C2×C4×C4⋊C4C2211yescharacteristic
34C2×C4×C4⋊C4C2211yescharacteristic
35#1949—24no—
36#1949C418yescomplemented
37#1942—24no—
38#1941—24no—
39C8×C4⋊C4—24no—
40C2×#340C2211yescharacteristic
41C2×#340C2211yescharacteristic
42C2×#340C2211yescharacteristic
43C2×#340C2211yescharacteristic
44C2×#340C2211yescharacteristic
45C2×#340C2211yescharacteristic
46C2×#340C2211yescharacteristic
47C2×#340C2211yescharacteristic
48C2×#340C2211yescharacteristic
49C2×#340C2211yescharacteristic
50C2×#340C2211yescharacteristic
51C2×#340C2211yescharacteristic
52C2×#336C2211yescharacteristic
53C2×#336C2211yescharacteristic
54#1444—21no—
55#1444—21no—
56#1444—21no—
57#1442—21no—
58#1436—21no—
59#1436—21no—
60C4⋊#95—21no—
61C4⋊#95—21no—
62C4⋊#95C2211yescharacteristic
63C4⋊#95C2211yescharacteristic
64C23×C8C2311yescharacteristic
65C23×C8C2311yescharacteristic
66C23×C8C2311yescharacteristic
67C23×C8C2311yescharacteristic
68C22×C4⋊C4—21no—
69C22×C4⋊C4—21no—
70C22×C4⋊C4—21no—
71C22×C4⋊C4—21no—
72C22×C4⋊C4—21no—
73C22×C4⋊C4—21no—
74C22×C4⋊C4D411yescharacteristic
75C22×C4⋊C4D411yescharacteristic
76C22×C4⋊C4C2311yescharacteristic
77C22×C4⋊C4C2311yescharacteristic
78C22×C4⋊C4C2311yescharacteristic
79C22×C4⋊C4C2311yescharacteristic
80C22×C4⋊C4C2311yescharacteristic
81C22×C4⋊C4C2311yescharacteristic
82C22×C4⋊C4C2311yescharacteristic
83C22×C4⋊C4C2311yescharacteristic
84C22×C42—21no—
85C22×C42—21no—
86C22×C42C2311yescharacteristic
87C22×C42C2311yescharacteristic
88C22×C42C2311yescharacteristic
89C2×#107—22no—
90C2×#107—22no—
91C2×#107—22no—
92C2×#107—22no—
93C2×#107—41no—
94C2×#107C2×C414yes—
95C2×#106—22no—
96C2×#106—22no—
97C2×#106—22no—
98C2×#106—22no—
99C2×#106—41no—
100C2×#106C2×C414yes—
101C2×C4⋊C8C2×C414yes—
102C2×C4⋊C8D414yes—
103C2×C4⋊C8Q814yes—
104C2×C4×C8—22no—
105C2×C4×C8—22no—
106C2×C4×C8—22no—
107C2×C4×C8—22no—
108C2×C4×C8—22no—
109C2×C4×C8—22no—
110C2×C4×C8—41no—
111C2×C4×C8—41no—
112C2×C4×C8Q814yes—
113#389—22no—
114#389—22no—
115#389—22no—
116#389—22no—
117#389—22no—
118#389—22no—
119#389—41no—
120#389—41no—
121#389—41no—
122#389—41no—
123#389—41no—
124#389—41no—
125#382—22no—
126#382—22no—
127#382—22no—
128#382C2×C414yes—
129C4×C4⋊C4—22no—
130C4×C4⋊C4—22no—
131C4×C4⋊C4—22no—
132C4×C4⋊C4—22no—
133C4×C4⋊C4—22no—
134C4×C4⋊C4C2×C414yes—
135C2×#95—21no—
136C2×#95—21no—
137C2×#95—21no—
138C2×#95—21no—
139C2×#95—21no—
140C2×#95—21no—
141C2×#95—21no—
142C2×#95—21no—
143C2×#95—21no—
144C2×#95—21no—
145C2×#95—21no—
146C2×#95—21no—
147C2×#95—21no—
148C2×#95—21no—
149C2×#95—21no—
150C2×#95—21no—
151C2×#95D411yescharacteristic
152C2×#95D411yescharacteristic
153#340—22no—
154#340—22no—
155#340—22no—
156#340—22no—
157#340—22no—
158#340—22no—
159#340—41no—
160#340—41no—
161#340C2×C414yes—
162#340C2×C414yes—
163#340D414yes—
164#340Q814yes—
165#336—22no—
166#336—22no—
167C23×C4—21no—
168C23×C4—21no—
169C23×C4—21no—
170C23×C4—21no—
171C23×C4—21no—
172C23×C4—21no—
173C23×C4—21no—
174C23×C4—21no—
175C23×C4C2×D411yescharacteristic
176C23×C4C2×D411yescharacteristic
177C23×C4C2×D411yescharacteristic
178C23×C4C2×D411yescharacteristic
179C23×C4C2×D411yescharacteristic
180C23×C4C2×D411yescharacteristic
181C23×C4C2411yescharacteristic
182C22×C8—21no—
183C22×C8—21no—
184C22×C8—21no—
185C22×C8—21no—
186C22×C8—21no—
187C22×C8—21no—
188C22×C8—21no—
189C22×C8—21no—
190C22×C8—21no—
191C22×C8—21no—
192C22×C8—21no—
193C22×C8—21no—
194C22×C8—21no—
195C22×C8—21no—
196C22×C8—21no—
197C22×C8—21no—
198C22×C8—21no—
199C22×C8—21no—
200C22×C8C22×C412yes—
201C22×C8C22×C412yes—
202C22×C8C2×D412yes—
203C22×C8C2×D412yes—
204C22×C8C2×D412yes—
205C22×C8C2×Q812yes—
206C22×C8C2×Q812yes—
207C22×C8C2×Q812yes—
208C22×C8C2×Q812yes—
209C22×C8C2×Q812yes—
210C2×C4⋊C4—22no—
211C2×C4⋊C4—22no—
212C2×C4⋊C4—22no—
213C2×C4⋊C4—22no—
214C2×C4⋊C4—22no—
215C2×C4⋊C4—22no—
216C2×C4⋊C4—21no—
217C2×C4⋊C4—21no—
218C2×C4⋊C4—21no—
219C2×C4⋊C4—21no—
220C2×C4⋊C4—21no—
221C2×C4⋊C4—21no—
222C2×C4⋊C4—21no—
223C2×C4⋊C4—21no—
224C2×C4⋊C4—21no—
225C2×C4⋊C4—21no—
226C2×C4⋊C4—21no—
227C2×C4⋊C4—21no—
228C2×C4⋊C4—21no—
229C2×C4⋊C4—21no—
230C2×C4⋊C4—21no—
231C2×C4⋊C4—21no—
232C2×C4⋊C4—21no—
233C2×C4⋊C4—21no—
234C2×C4⋊C4—21no—
235C2×C4⋊C4—21no—
236C2×C4⋊C4—21no—
237C2×C4⋊C4—21no—
238C2×C4⋊C4—21no—
239C2×C4⋊C4—21no—
240C2×C4⋊C4—21no—
241C2×C4⋊C4—21no—
242C2×C4⋊C4—21no—
243C2×C4⋊C4—21no—
244C2×C4⋊C4—21no—
245C2×C4⋊C4—21no—
246C2×C4⋊C4—21no—
247C2×C4⋊C4—21no—
248C2×C4⋊C4—21no—
249C2×C4⋊C4—21no—
250C2×C4⋊C4—21no—
251C2×C4⋊C4—21no—
252C2×C4⋊C4—21no—
253C2×C4⋊C4—21no—
254C2×C4⋊C4—42no—
255C2×C4⋊C4—42no—
256C2×C4⋊C4—42no—
257C2×C4⋊C4—42no—
258C2×C4⋊C4—42no—
259C2×C4⋊C4—42no—
260C2×C4⋊C4—42no—
261C2×C4⋊C4—42no—
262C2×C4⋊C4—42no—
263C2×C4⋊C4—42no—
264C2×C4⋊C4—42no—
265C2×C4⋊C4—42no—
266C2×C4⋊C4—81no—
267C2×C4⋊C4—81no—
268C2×C4⋊C4—81no—
269C2×C4⋊C4—81no—
270C2×C4⋊C4—81no—
271C2×C4⋊C4—81no—
272C2×C4⋊C4C22×C412yes—
273C2×C4⋊C4C22×C412yes—
274C2×C4⋊C4C22×C412yes—
275C2×C4⋊C4C22×C412yes—
276C2×C4⋊C4C2×D412yes—
277C2×C4⋊C4C2×D412yes—
278C2×C4⋊C4C2×Q812yes—
279C2×C4⋊C4C2×Q812yes—
280C2×C4⋊C4#4112yes—
281C2×C4⋊C4#4112yes—
282C2×C42—21no—
283C2×C42—21no—
284C2×C42—21no—
285C2×C42—21no—
286C2×C42—21no—
287C2×C42—21no—
288C2×C42—21no—
289C2×C42—21no—
290C2×C42—21no—
291C2×C42—21no—
292C2×C42—21no—
293C2×C42—21no—
294C2×C42—24no—
295C2×C42—42no—
296C2×C42—81no—
297C2×C42—81no—
298C2×C42—81no—
299C2×C42—81no—
300C2×C42C22×C412yes—
301C2×C42C2×D412yes—
302C2×C42C2×Q812yes—
303C2×C42C2×Q812yes—
304C2×C42#4112yes—
305C2×C42#4112yes—
306#107—28no—
307#107—44no—
308#106—28no—
309#106—44no—
310C4⋊C8C4⋊C4116yescomplemented
311C4×C8—28no—
312C4×C8—44no—
313C4×C8—44no—
314#95—24no—
315#95—24no—
316#95—24no—
317#95—22no—
318#95—22no—
319#95—42no—
320#95—42no—
321#95—42no—
322#95—42no—
323#95—42no—
324#95—42no—
325#95—42no—
326#95—42no—
327#95—42no—
328#95—42no—
329#95—42no—
330#95—81no—
331#95—81no—
332C24C22×D411yescharacteristic
333C22×C4—21no—
334C22×C4—21no—
335C22×C4—21no—
336C22×C4—21no—
337C22×C4—21no—
338C22×C4—21no—
339C22×C4—21no—
340C22×C4—21no—
341C22×C4—22no—
342C22×C4—22no—
343C22×C4—21no—
344C22×C4—21no—
345C22×C4—21no—
346C22×C4—21no—
347C22×C4—21no—
348C22×C4—21no—
349C22×C4—21no—
350C22×C4—22no—
351C22×C4—21no—
352C22×C4—21no—
353C22×C4—21no—
354C22×C4—22no—
355C22×C4—21no—
356C22×C4—21no—
357C22×C4—22no—
358C22×C4—22no—
359C22×C4—21no—
360C22×C4—21no—
361C22×C4—21no—
362C22×C4—21no—
363C22×C4—21no—
364C22×C4—21no—
365C22×C4—21no—
366C22×C4—21no—
367C22×C4—21no—
368C22×C4—21no—
369C22×C4—21no—
370C22×C4—21no—
371C22×C4—22no—
372C22×C4—22no—
373C22×C4—22no—
374C22×C4—22no—
375C22×C4—41no—
376C22×C4—41no—
377C22×C4—41no—
378C22×C4—41no—
379C22×C4—41no—
380C22×C4—41no—
381C22×C4—41no—
382C22×C4—41no—
383C22×C4—41no—
384C22×C4—41no—
385C22×C4—41no—
386C22×C4—41no—
387C22×C4—41no—
388C22×C4—41no—
389C22×C4—41no—
390C22×C4—41no—
391C22×C4—41no—
392C22×C4—41no—
393C22×C4—41no—
394C22×C4—41no—
395C22×C4—41no—
396C22×C4—41no—
397C22×C4—41no—
398C22×C4—41no—
399C22×C4—41no—
400C22×C4—41no—
401C22×C4—41no—
402C22×C4—41no—
403C22×C4—41no—
404C22×C4—41no—
405C22×C4—41no—
406C22×C4—41no—
407C22×C4—41no—
408C22×C4—41no—
409C22×C4—41no—
410C22×C4—41no—
411C22×C4—41no—
412C22×C4—41no—
413C22×C4—41no—
414C22×C4—41no—
415C22×C4—41no—
416C22×C4—41no—
417C22×C4—41no—
418C22×C4—41no—
419C22×C4—41no—
420C22×C4—41no—
421C22×C4C4×D412yes—
422C22×C4C4×D412yes—
423C22×C4#12112yes—
424C22×C4#12112yes—
425C22×C4C4⋊Q812yes—
426C22×C4C4⋊Q812yes—
427C22×C4#13512yes—
428C22×C4#13512yes—
429C22×C4#13512yes—
430C22×C4#13512yes—
431C22×C4C23×C411yescharacteristic
432C22×C4C22×D411yescharacteristic
433C22×C4C22×D411yescharacteristic
434C22×C4C22×Q811yescharacteristic
435C22×C4C22×Q811yescharacteristic
436C22×C4C22×Q811yescharacteristic
437C22×C4C2×#4111yescharacteristic
438C22×C4C2×#4111yescharacteristic
439C22×C4C2×#4111yescharacteristic
440C22×C4C2×#4111yescharacteristic
441C22×C4H(5,𝔽2)11yescharacteristic
442C22×C4H(5,𝔽2)11yescharacteristic
443C22×C42−1+411yescharacteristic
444C22×C42−1+411yescharacteristic
445C2×C8—22no—
446C2×C8—22no—
447C2×C8—22no—
448C2×C8—22no—
449C2×C8—22no—
450C2×C8—22no—
451C2×C8—22no—
452C2×C8—22no—
453C2×C8—22no—
454C2×C8—22no—
455C2×C8—22no—
456C2×C8—22no—
457C2×C8—22no—
458C2×C8—22no—
459C2×C8—22no—
460C2×C8—22no—
461C2×C8—22no—
462C2×C8—22no—
463C2×C8—22no—
464C2×C8—22no—
465C2×C8—22no—
466C2×C8—41no—
467C2×C8—41no—
468C2×C8—41no—
469C2×C8—41no—
470C2×C8C2×C4⋊C414yes—
471C2×C8C2×C4⋊C414yes—
472C2×C8C4⋊Q814yes—
473C4⋊C4—28no—
474C4⋊C4—28no—
475C4⋊C4—22no—
476C4⋊C4—22no—
477C4⋊C4—22no—
478C4⋊C4—22no—
479C4⋊C4—22no—
480C4⋊C4—22no—
481C4⋊C4—22no—
482C4⋊C4—22no—
483C4⋊C4—22no—
484C4⋊C4—22no—
485C4⋊C4—22no—
486C4⋊C4—22no—
487C4⋊C4—22no—
488C4⋊C4—22no—
489C4⋊C4—41no—
490C4⋊C4—41no—
491C4⋊C4—41no—
492C4⋊C4—41no—
493C4⋊C4—41no—
494C4⋊C4—41no—
495C4⋊C4—41no—
496C4⋊C4—41no—
497C4⋊C4—41no—
498C4⋊C4—41no—
499C4⋊C4—41no—
500C4⋊C4—41no—
501C4⋊C4—41no—
502C4⋊C4—41no—
503C4⋊C4—41no—
504C4⋊C4—41no—
505C4⋊C4—84no—
506C4⋊C4—84no—
507C4⋊C4—84no—
508C4⋊C4—84no—
509C4⋊C4—84no—
510C4⋊C4—84no—
511C4⋊C4C4×D414yes—
512C4⋊C4C4×Q814yes—
513C42—41no—
514C42—41no—
515C42—41no—
516C42—41no—
517C42—41no—
518C42—41no—
519C42—41no—
520C42—41no—
521C42—84no—
522C42—84no—
523C42C2×C4⋊C414yes—
524C42C4×Q814yes—
525C42C22⋊Q814yes—
526C42#12514yes—
527C23C2×C4×D411yescharacteristic
528C23C2×#12111yescharacteristic
529C23C2×C4⋊Q811yescharacteristic
530C23D4211yescharacteristic
531C23#54611yescharacteristic
532C23#54811yescharacteristic
533C23D4×Q811yescharacteristic
534C23C2×#13511yescharacteristic
535C23C2×#13511yescharacteristic
536C23C2×#13511yescharacteristic
537C23C2×#13511yescharacteristic
538C23#57611yescharacteristic
539C23#57711yescharacteristic
540C23#57711yescharacteristic
541C23#57811yescharacteristic
542C2×C4—22no—
543C2×C4—22no—
544C2×C4—22no—
545C2×C4—22no—
546C2×C4—22no—
547C2×C4—22no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—22no—
551C2×C4—22no—
552C2×C4—22no—
553C2×C4—22no—
554C2×C4—24no—
555C2×C4—24no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—22no—
562C2×C4—22no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—22no—
566C2×C4—22no—
567C2×C4—22no—
568C2×C4—42no—
569C2×C4—42no—
570C2×C4—42no—
571C2×C4—42no—
572C2×C4—42no—
573C2×C4—42no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—41no—
578C2×C4—42no—
579C2×C4—42no—
580C2×C4—42no—
581C2×C4—41no—
582C2×C4—42no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—42no—
587C2×C4—41no—
588C2×C4—42no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—42no—
597C2×C4—42no—
598C2×C4—42no—
599C2×C4—42no—
600C2×C4—42no—
601C2×C4—42no—
602C2×C4—42no—
603C2×C4—42no—
604C2×C4—42no—
605C2×C4—42no—
606C2×C4—42no—
607C2×C4—42no—
608C2×C4—81no—
609C2×C4—81no—
610C2×C4—81no—
611C2×C4—81no—
612C2×C4—81no—
613C2×C4—81no—
614C2×C4—81no—
615C2×C4—81no—
616C2×C4—81no—
617C2×C4—81no—
618C2×C4—81no—
619C2×C4—81no—
620C2×C4—81no—
621C2×C4—81no—
622C2×C4—81no—
623C2×C4—81no—
624C2×C4—81no—
625C2×C4—81no—
626C2×C4—81no—
627C2×C4—81no—
628C2×C4—81no—
629C2×C4—81no—
630C2×C4—81no—
631C2×C4—81no—
632C2×C4—81no—
633C2×C4—81no—
634C2×C4—81no—
635C2×C4—81no—
636C2×C4—81no—
637C2×C4—81no—
638C2×C4#38914yes—
639C2×C4#38914yes—
640C2×C4C22×C4⋊C411yescharacteristic
641C2×C4C2×C4×D411yescharacteristic
642C2×C4C2×C4×Q811yescharacteristic
643C2×C4C2×C4×Q811yescharacteristic
644C2×C4#52011yescharacteristic
645C2×C4#52011yescharacteristic
646C2×C4C2×C22⋊Q811yescharacteristic
647C2×C4C2×#12511yescharacteristic
648C2×C4C2×C4⋊Q811yescharacteristic
649C2×C4#53211yescharacteristic
650C2×C4#53311yescharacteristic
651C2×C4#53311yescharacteristic
652C2×C4#54011yescharacteristic
653C2×C4#54111yescharacteristic
654C2×C4#54411yescharacteristic
655C2×C4#54411yescharacteristic
656C2×C4D4211yescharacteristic
657C2×C4#54711yescharacteristic
658C2×C4#54711yescharacteristic
659C2×C4D4×Q811yescharacteristic
660C2×C4D4×Q811yescharacteristic
661C2×C4#55011yescharacteristic
662C2×C4#55211yescharacteristic
663C2×C4#55311yescharacteristic
664C2×C4#55411yescharacteristic
665C2×C4#55411yescharacteristic
666C2×C4#55711yescharacteristic
667C2×C4Q8211yescharacteristic
668C8—24no—
669C8—24no—
670C8—24no—
671C8—42no—
672C22C2×#38911yescharacteristic
673C22#236011yescharacteristic
674C22#236111yescharacteristic
675C22#242811yescharacteristic
676C22#242911yescharacteristic
677C22#255011yescharacteristic
678C22#255111yescharacteristic
679C22C4×#13511yescharacteristic
680C22C4×#13511yescharacteristic
681C22#294611yescharacteristic
682C22#294711yescharacteristic
683C22#305011yescharacteristic
684C22#305011yescharacteristic
685C22#306211yescharacteristic
686C22#306311yescharacteristic
687C22#316011yescharacteristic
688C22#316011yescharacteristic
689C22#316311yescharacteristic
690C22#316411yescharacteristic
691C22#328011yescharacteristic
692C22#328211yescharacteristic
693C22#328211yescharacteristic
694C22#328511yescharacteristic
695C22#329611yescharacteristic
696C22#329711yescharacteristic
697C22#330011yescharacteristic
698C22#330111yescharacteristic
699C22#336011yescharacteristic
700C22#336111yescharacteristic
701C22#336411yescharacteristic
702C22#336511yescharacteristic
703C22#338011yescharacteristic
704C22#338111yescharacteristic
705C22#338111yescharacteristic
706C22#338311yescharacteristic
707C4—24no—
708C4—24no—
709C4—42no—
710C4—42no—
711C4—42no—
712C4—42no—
713C4—44no—
714C4—44no—
715C4—82no—
716C4—82no—
717C4—82no—
718C4—82no—
719C4—161no—
720C4—161no—
721C4C4×C4⋊Q811yescharacteristic
722C4#233011yescharacteristic
723C4D4×C4⋊C411yescharacteristic
724C4Q8×C4⋊C411yescharacteristic
725C4#244011yescharacteristic
726C4#244111yescharacteristic
727C4#250611yescharacteristic
728C4#250711yescharacteristic
729C2#1400511yescharacteristic
730C2#2115111yescharacteristic
731C2#2116011yescharacteristic
732C2#2296611yescharacteristic
733C2#2296711yescharacteristic
734C2#2299911yescharacteristic
735C2#2300011yescharacteristic
736C2#2538811yescharacteristic
737C2#2538911yescharacteristic
738C2#2547311yescharacteristic
739C2#2547411yescharacteristic
740C2#2879311yescharacteristic
741C2#2879411yescharacteristic
742C2#2881011yescharacteristic
743C2#2881211yescharacteristic
subgroupG/H
center, socle, prime radicalC24C22×D4
commutatorC22×C4C23×C4
Frattini, cosocleC23×C4C24
LCSG ▷ C22×C4 ▷ C2 ▷ C1
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4 ◁ G
LECSG ▷ C23×C4 ▷ C2 ▷ C1

Complements

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

NH ≅ G/Ntype
36. #1949C4semidirect
310. C4⋊C8C4⋊C4semidirect

Maximal subgroups

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

subgroupindex
C2×#19492
C2×#19422
C2×#19412
C2×C8×C4⋊C42
#141502
#139542
#113282
#113272
#112202
#112192
#108802
#108422
C4×#3402