Finite Group Databasebeta

← #25020290

Subgroups — #25020290

Order 11008.

1442 conjugacy classes of subgroups.

The subgroup lattice has 676 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14582797C211yesmaximal, characteristic
2C2×#14582780C212yesmaximal
3C2×C4×C4⋊Dic43C211yesmaximal, characteristic
4#19132855C212yesmaximal
5#19132845C212yesmaximal
6#19132825C211yesmaximal, characteristic
7#19132825C211yesmaximal, characteristic
8#19132825C211yesmaximal, characteristic
9#19132825C211yesmaximal, characteristic
10#19132819C212yesmaximal
11C2×C4×C4⋊C4×C43C211yesmaximal, characteristic
12C22×C4⋊Dic43C2211yescharacteristic
13C22×C4⋊Dic43C2211yescharacteristic
14C22×C4⋊Dic43C2211yescharacteristic
15C22×C4⋊Dic43C2211yescharacteristic
16C22×Dic43⋊C4C2212yes—
17C22×C4×Dic43C2212yes—
18#14582797C418yescomplemented
19#14582780—28no—
20C4×C4⋊Dic43—24no—
21C2×C43⋊#95C2212yes—
22C2×C43⋊#95C2212yes—
23C2×C43⋊#95C2212yes—
24C2×C43⋊#95C2212yes—
25C2×C43⋊#95C2212yes—
26C2×C43⋊#95C2212yes—
27C2×C43⋊#95C2212yes—
28C2×C43⋊#95C2212yes—
29C2×C43⋊#95C2212yes—
30C2×C43⋊#95C2212yes—
31C22×C4⋊C4×C43C2211yescharacteristic
32C22×C4⋊C4×C43C2211yescharacteristic
33C22×C42×C43C2211yescharacteristic
34C22×C42×C43C2211yescharacteristic
35C22×C42×C43C2211yescharacteristic
36C4×C4⋊C4×C43—24no—
37C2×#95×C43C2211yescharacteristic
38C2×#95×C43C2211yescharacteristic
39C23×Dic43C2312yes—
40C23×Dic43C2312yes—
41C23×Dic43C2312yes—
42C23×Dic43C2312yes—
43C2×C4⋊Dic43—22no—
44C2×C4⋊Dic43—22no—
45C2×C4⋊Dic43—22no—
46C2×C4⋊Dic43—22no—
47C2×C4⋊Dic43—22no—
48C2×C4⋊Dic43—22no—
49C2×C4⋊Dic43—22no—
50C2×C4⋊Dic43—22no—
51C2×C4⋊Dic43—22no—
52C2×C4⋊Dic43C2×C414yes—
53C2×C4⋊Dic43C2×C414yes—
54C2×C4⋊Dic43Q814yes—
55C2×Dic43⋊C4—24no—
56C2×Dic43⋊C4—24no—
57C2×Dic43⋊C4C2×C418yes—
58C2×C4×Dic43—24no—
59C2×C4×Dic43—24no—
60C2×C4×Dic43—24no—
61C43⋊#95—24no—
62C43⋊#95—24no—
63C43⋊#95—24no—
64C43⋊#95—24no—
65C43⋊#95—24no—
66C43⋊#95—24no—
67C43⋊#95—42no—
68C43⋊#95—42no—
69C43⋊#95—42no—
70C43⋊#95C2×C418yes—
71C23×C4×C43C2311yescharacteristic
72C23×C4×C43C2311yescharacteristic
73C23×C4×C43C2311yescharacteristic
74C23×C4×C43C2311yescharacteristic
75C23×C4×C43C2311yescharacteristic
76C23×C4×C43C2311yescharacteristic
77C23×C4×C43C2311yescharacteristic
78C2×C4⋊C4×C43—22no—
79C2×C4⋊C4×C43—22no—
80C2×C4⋊C4×C43—22no—
81C2×C4⋊C4×C43—22no—
82C2×C4⋊C4×C43—22no—
83C2×C4⋊C4×C43D414yes—
84C2×C42×C43—22no—
85C2×C42×C43—22no—
86C2×C42×C43—22no—
87C2×C42×C43—22no—
88C2×C42×C43—22no—
89C2×C42×C43—22no—
90C2×C42×C43—22no—
91C2×C42×C43C2×C414yes—
92C2×C42×C43D414yes—
93#95×C43—22no—
94#95×C43—22no—
95C24×C43C2411yescharacteristic
96C22×C4×C43—21no—
97C22×C4×C43—21no—
98C22×C4×C43—21no—
99C22×C4×C43—21no—
100C22×C4×C43—21no—
101C22×C4×C43—21no—
102C22×C4×C43—21no—
103C22×C4×C43—21no—
104C22×C4×C43—21no—
105C22×C4×C43—21no—
106C22×C4×C43—21no—
107C22×C4×C43—21no—
108C22×C4×C43—21no—
109C22×C4×C43—21no—
110C22×C4×C43—21no—
111C22×C4×C43—21no—
112C22×C4×C43—21no—
113C22×C4×C43—21no—
114C22×C4×C43—21no—
115C22×C4×C43—21no—
116C22×C4×C43—21no—
117C22×C4×C43—21no—
118C22×C4×C43—21no—
119C22×C4×C43—21no—
120C22×C4×C43—21no—
121C22×C4×C43—21no—
122C22×C4×C43—21no—
123C22×C4×C43—21no—
124C22×C4×C43—21no—
125C22×C4×C43—21no—
126C22×C4×C43—21no—
127C22×C4×C43—21no—
128C22×C4×C43C22×C412yes—
129C22×C4×C43C22×C412yes—
130C22×C4×C43C22×C412yes—
131C22×C4×C43C2×D412yes—
132C22×C4×C43C2×D412yes—
133C22×C4×C43C2×D412yes—
134C22×C4×C43C2×D412yes—
135C22×C4×C43C2×D412yes—
136C22×C4×C43C2×D412yes—
137C22×C4×C43C2×Q812yes—
138C22×C4×C43#4112yes—
139C22×C4×C43#4112yes—
140C22×C4×C43#4112yes—
141C22×C4×C43#4112yes—
142C22×C4×C43#4112yes—
143C22×C4×C43#4112yes—
144C22×C4×C43#4112yes—
145C22×Dic43—22no—
146C22×Dic43—22no—
147C22×Dic43—22no—
148C22×Dic43—22no—
149C22×Dic43—22no—
150C22×Dic43—22no—
151C22×Dic43—22no—
152C22×Dic43—22no—
153C22×Dic43—22no—
154C22×Dic43—22no—
155C22×Dic43—22no—
156C22×Dic43—22no—
157C22×Dic43—22no—
158C22×Dic43—22no—
159C22×Dic43—22no—
160C22×Dic43—22no—
161C22×Dic43—22no—
162C22×Dic43—22no—
163C22×Dic43—22no—
164C22×Dic43—22no—
165C22×Dic43—22no—
166C22×Dic43—22no—
167C22×Dic43—22no—
168C22×Dic43—22no—
169C22×Dic43—22no—
170C22×Dic43C22×C414yes—
171C22×Dic43C22×C414yes—
172C22×Dic43C2×Q814yes—
173C4⋊C4×C43—28no—
174C4⋊C4×C43—28no—
175C42×C43—28no—
176C42×C43—28no—
177C42×C43—44no—
178C4⋊Dic43—28no—
179C4⋊Dic43—28no—
180C4⋊Dic43—28no—
181C4⋊Dic43—44no—
182Dic43⋊C4—216no—
183C4×Dic43—48no—
184C23×C43C23×C411yescharacteristic
185C23×C43C22×D411yescharacteristic
186C23×C43C22×D411yescharacteristic
187C23×C43C22×Q811yescharacteristic
188C23×C43C2×#4111yescharacteristic
189C23×C43C2×#4111yescharacteristic
190C23×C43C2×#4111yescharacteristic
191C23×C43C2×#4111yescharacteristic
192C23×C43C2×#4111yescharacteristic
193C23×C43C2×#4111yescharacteristic
194C23×C43C2×#4111yescharacteristic
195C23×C43H(5,𝔽2)11yescharacteristic
196C23×C432−1+411yescharacteristic
197C23×C432−1+411yescharacteristic
198C23×C432−1+411yescharacteristic
199C2×C4×C43—22no—
200C2×C4×C43—22no—
201C2×C4×C43—22no—
202C2×C4×C43—22no—
203C2×C4×C43—22no—
204C2×C4×C43—22no—
205C2×C4×C43—22no—
206C2×C4×C43—22no—
207C2×C4×C43—22no—
208C2×C4×C43—22no—
209C2×C4×C43—22no—
210C2×C4×C43—22no—
211C2×C4×C43—22no—
212C2×C4×C43—22no—
213C2×C4×C43—22no—
214C2×C4×C43—22no—
215C2×C4×C43—22no—
216C2×C4×C43—22no—
217C2×C4×C43—22no—
218C2×C4×C43—22no—
219C2×C4×C43—22no—
220C2×C4×C43—22no—
221C2×C4×C43—22no—
222C2×C4×C43—22no—
223C2×C4×C43—41no—
224C2×C4×C43—41no—
225C2×C4×C43—41no—
226C2×C4×C43—41no—
227C2×C4×C43—41no—
228C2×C4×C43—41no—
229C2×C4×C43—41no—
230C2×C4×C43—41no—
231C2×C4×C43—41no—
232C2×C4×C43—41no—
233C2×C4×C43—41no—
234C2×C4×C43—41no—
235C2×C4×C43—41no—
236C2×C4×C43—41no—
237C2×C4×C43—41no—
238C2×C4×C43—41no—
239C2×C4×C43#11714yes—
240C2×C4×C43C4×D414yes—
241C2×C4×C43C4×D414yes—
242C2×C4×C43C4×Q814yes—
243C2×C4×C43#12114yes—
244C2×C4×C43C22⋊Q814yes—
245C2×C4×C43#12314yes—
246C2×C4×C43#12514yes—
247C2×C4×C43#12614yes—
248C2×Dic43—24no—
249C2×Dic43—24no—
250C2×Dic43—24no—
251C2×Dic43—24no—
252C2×Dic43—24no—
253C2×Dic43—24no—
254C2×Dic43—24no—
255C2×Dic43—24no—
256C2×Dic43—24no—
257C2×Dic43—42no—
258C2×Dic43—42no—
259C2×Dic43—42no—
260C2×Dic43—42no—
261C2×Dic43—42no—
262C2×Dic43—42no—
263C2×Dic43—42no—
264C2×Dic43—42no—
265C2×Dic43—42no—
266C2×Dic43—42no—
267C2×Dic43—42no—
268C2×Dic43—42no—
269C2×Dic43—42no—
270C2×Dic43—42no—
271C2×Dic43—42no—
272C2×Dic43—42no—
273C2×Dic43—42no—
274C2×Dic43—42no—
275C2×Dic43—42no—
276#14042—431nomaximal, Sylow
277C22×C43C2×#11711yescharacteristic
278C22×C43C2×C4×D411yescharacteristic
279C22×C43C2×C4×D411yescharacteristic
280C22×C43C2×C4×Q811yescharacteristic
281C22×C43C4×#4111yescharacteristic
282C22×C43#51911yescharacteristic
283C22×C43#52011yescharacteristic
284C22×C43C2×#12111yescharacteristic
285C22×C43C2×C22⋊Q811yescharacteristic
286C22×C43C2×#12311yescharacteristic
287C22×C43#52511yescharacteristic
288C22×C43C2×#12511yescharacteristic
289C22×C43C2×#12611yescharacteristic
290C22×C43#52911yescharacteristic
291C22×C43#53211yescharacteristic
292C22×C43#53611yescharacteristic
293C22×C43#53711yescharacteristic
294C22×C43#54111yescharacteristic
295C22×C43#54211yescharacteristic
296C22×C43#54711yescharacteristic
297C22×C43#54711yescharacteristic
298C22×C43D4×Q811yescharacteristic
299C22×C43#55011yescharacteristic
300C22×C43#55211yescharacteristic
301C22×C43#55211yescharacteristic
302C22×C43#55211yescharacteristic
303C22×C43#55311yescharacteristic
304C22×C43#55411yescharacteristic
305C22×C43#55511yescharacteristic
306C22×C43#55611yescharacteristic
307C22×C43#55611yescharacteristic
308C22×C43#55611yescharacteristic
309C22×C43#55611yescharacteristic
310C22×C43#55711yescharacteristic
311C22×C43#55711yescharacteristic
312C4×C43—24no—
313C4×C43—24no—
314C4×C43—42no—
315C4×C43—42no—
316C4×C43—42no—
317C4×C43—42no—
318C4×C43#38718yescomplemented
319Dic43—44no—
320Dic43—44no—
321Dic43—44no—
322Dic43—82no—
323C2×#389—431no—
324C2×#387—432no—
325C2×C4×C4⋊C4—431no—
326C2×C4×C4⋊C4D4311yescharacteristic
327#1443—432no—
328#1441—432no—
329C4⋊#95—431no—
330C4⋊#95—431no—
331C4⋊#95—431no—
332C4⋊#95—431no—
333#1434—432no—
334C2×C43C2×#38711yescharacteristic
335C2×C43C4×#12111yescharacteristic
336C2×C43#232311yescharacteristic
337C2×C43#235411yescharacteristic
338C2×C43#235611yescharacteristic
339C2×C43#236511yescharacteristic
340C2×C43#237011yescharacteristic
341C2×C43#248511yescharacteristic
342C2×C43#248611yescharacteristic
343C2×C43#250611yescharacteristic
344C2×C43#250811yescharacteristic
345C2×C43#251211yescharacteristic
346C2×C43#251411yescharacteristic
347C2×C43#253811yescharacteristic
348C2×C43#258111yescharacteristic
349C22×C4⋊C4—432no—
350C22×C4⋊C4—431no—
351C22×C4⋊C4—431no—
352C22×C4⋊C4—431no—
353C22×C4⋊C4—431no—
354C22×C4⋊C4C2×D4311yescharacteristic
355C22×C4⋊C4C2×D4311yescharacteristic
356C22×C42—432no—
357C22×C42C2×D4311yescharacteristic
358C22×C42C2×D4311yescharacteristic
359C22×C42C2×D4311yescharacteristic
360#389—438no—
361#387—868no—
362C4×C4⋊C4—24no—
363C4×C4⋊C4—864no—
364C2×#95—432no—
365C2×#95—432no—
366C2×#95—432no—
367C2×#95—432no—
368C2×#95—432no—
369C2×#95—432no—
370C2×#95—432no—
371C2×#95—432no—
372C2×#95—432no—
373C2×#95—432no—
374C2×#95C2×D4311yescharacteristic
375C2×#95C2×D4311yescharacteristic
376C43#1404211yescharacteristic, complemented, Sylow
377C23×C4—432no—
378C23×C4—432no—
379C23×C4—432no—
380C23×C4—432no—
381C23×C4C22×D4311yescharacteristic
382C23×C4C22×D4311yescharacteristic
383C23×C4C22×D4311yescharacteristic
384C23×C4C22×D4311yescharacteristic
385C23×C4C22×D4311yescharacteristic
386C23×C4C22×D4311yescharacteristic
387C23×C4C22×D4311yescharacteristic
388C2×C4⋊C4—22no—
389C2×C4⋊C4—22no—
390C2×C4⋊C4—22no—
391C2×C4⋊C4—22no—
392C2×C4⋊C4—22no—
393C2×C4⋊C4—438no—
394C2×C4⋊C4—434no—
395C2×C4⋊C4—434no—
396C2×C4⋊C4—434no—
397C2×C4⋊C4—864no—
398C2×C4⋊C4—864no—
399C2×C4⋊C4—862no—
400C2×C4⋊C4—862no—
401C2×C4⋊C4—862no—
402C2×C4⋊C4—862no—
403C2×C4⋊C4—862no—
404C2×C4⋊C4—862no—
405C2×C4⋊C4—862no—
406C2×C4⋊C4—862no—
407C2×C4⋊C4—862no—
408C2×C4⋊C4D17214yes—
409C2×C42—22no—
410C2×C42—22no—
411C2×C42—22no—
412C2×C42—22no—
413C2×C42—22no—
414C2×C42—22no—
415C2×C42—22no—
416C2×C42—864no—
417C2×C42—864no—
418C2×C42—864no—
419C2×C42C4×D4314yes—
420C2×C42C22⋊D4314yes—
421#95—22no—
422#95—22no—
423#95—438no—
424#95—864no—
425#95—864no—
426#95—864no—
427#95—864no—
428#95—864no—
429#95—864no—
430#95—1722no—
431#95—1722no—
432#95—1722no—
433C24C23×D4311yescharacteristic
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—21no—
437C22×C4—21no—
438C22×C4—21no—
439C22×C4—21no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—21no—
445C22×C4—21no—
446C22×C4—21no—
447C22×C4—21no—
448C22×C4—21no—
449C22×C4—21no—
450C22×C4—21no—
451C22×C4—21no—
452C22×C4—21no—
453C22×C4—21no—
454C22×C4—21no—
455C22×C4—21no—
456C22×C4—21no—
457C22×C4—21no—
458C22×C4—21no—
459C22×C4—21no—
460C22×C4—21no—
461C22×C4—21no—
462C22×C4—21no—
463C22×C4—21no—
464C22×C4—21no—
465C22×C4—21no—
466C22×C4—434no—
467C22×C4—434no—
468C22×C4—434no—
469C22×C4—862no—
470C22×C4—862no—
471C22×C4—862no—
472C22×C4—862no—
473C22×C4—862no—
474C22×C4—862no—
475C22×C4—862no—
476C22×C4—862no—
477C22×C4—862no—
478C22×C4—862no—
479C22×C4—862no—
480C22×C4—862no—
481C22×C4—862no—
482C22×C4—862no—
483C22×C4—862no—
484C22×C4—862no—
485C22×C4—862no—
486C22×C4—862no—
487C22×C4—862no—
488C22×C4—862no—
489C22×C4—862no—
490C22×C4—862no—
491C22×C4—862no—
492C22×C4—862no—
493C22×C4—862no—
494C22×C4C2×C4×D4312yes—
495C22×C4C2×C4×D4312yes—
496C22×C4C2×C4×D4312yes—
497C22×C4C2×D17212yes—
498C22×C4C2×D17212yes—
499C22×C4C2×D17212yes—
500C22×C4#1062189812yes—
501C22×C4#1062189812yes—
502C22×C4#1062189812yes—
503C22×C4#1062189812yes—
504C22×C4#1062190012yes—
505C22×C4#1062190012yes—
506C22×C4Q8×D4312yes—
507C22×C4#1062190212yes—
508C22×C4C2×C22⋊D4312yes—
509C22×C4C2×C22⋊D4312yes—
510C22×C4C2×C22⋊D4312yes—
511C4⋊C4—28no—
512C4⋊C4—28no—
513C4⋊C4—868no—
514C4⋊C4—868no—
515C4⋊C4—8616no—
516C4⋊C4—868no—
517C4⋊C4—1724no—
518C42—28no—
519C42—28no—
520C42—44no—
521C42—1728no—
522C23C22×C4×D4311yescharacteristic
523C23C22×C22⋊D4311yescharacteristic
524C23C22×D17211yescharacteristic
525C23C2×Q8×D4311yescharacteristic
526C23C2×#1062190011yescharacteristic
527C23C2×#1062190011yescharacteristic
528C23C2×#1062189811yescharacteristic
529C23C2×#1062189811yescharacteristic
530C23C2×#1062189811yescharacteristic
531C23C2×#1062189811yescharacteristic
532C23C2×#1062190211yescharacteristic
533C23#1306337111yescharacteristic
534C23#1306337211yescharacteristic
535C23#1306337211yescharacteristic
536C23#1306337211yescharacteristic
537C2×C4—22no—
538C2×C4—22no—
539C2×C4—22no—
540C2×C4—22no—
541C2×C4—22no—
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—22no—
555C2×C4—22no—
556C2×C4—22no—
557C2×C4—22no—
558C2×C4—22no—
559C2×C4—22no—
560C2×C4—22no—
561C2×C4—41no—
562C2×C4—41no—
563C2×C4—41no—
564C2×C4—41no—
565C2×C4—41no—
566C2×C4—41no—
567C2×C4—41no—
568C2×C4—41no—
569C2×C4—41no—
570C2×C4—41no—
571C2×C4—41no—
572C2×C4—41no—
573C2×C4—41no—
574C2×C4—41no—
575C2×C4—41no—
576C2×C4—41no—
577C2×C4—864no—
578C2×C4—864no—
579C2×C4—864no—
580C2×C4—864no—
581C2×C4—864no—
582C2×C4—864no—
583C2×C4—864no—
584C2×C4—864no—
585C2×C4—864no—
586C2×C4—1722no—
587C2×C4—1722no—
588C2×C4—1722no—
589C2×C4—1722no—
590C2×C4—1722no—
591C2×C4—1722no—
592C2×C4—1722no—
593C2×C4—1722no—
594C2×C4—1722no—
595C2×C4—1722no—
596C2×C4—1722no—
597C2×C4—1722no—
598C2×C4—1722no—
599C2×C4—1722no—
600C2×C4—1722no—
601C2×C4—1722no—
602C2×C4—1722no—
603C2×C4—1722no—
604C2×C4—1722no—
605C2×C4#1306328314yes—
606C2×C4C4×C22⋊D4314yes—
607C2×C4C4×D17214yes—
608C2×C4#1306329014yes—
609C2×C4#1306329914yes—
610C2×C4#1306330114yes—
611C2×C4#1306330614yes—
612C2×C4#1306331514yes—
613C2×C4#1306332014yes—
614C22C2×#1306328311yescharacteristic
615C22C2×C4×C22⋊D4311yescharacteristic
616C22C2×C4×D17211yescharacteristic
617C22C2×#1306329011yescharacteristic
618C22C4×#1062189811yescharacteristic
619C22#1458337611yescharacteristic
620C22#1458337911yescharacteristic
621C22C2×#1306329911yescharacteristic
622C22C2×#1306330111yescharacteristic
623C22C2×#1306330611yescharacteristic
624C22#1458341011yescharacteristic
625C22C2×#1306331511yescharacteristic
626C22C2×#1306332011yescharacteristic
627C22#1458343311yescharacteristic
628C22#1458344911yescharacteristic
629C22#1458347011yescharacteristic
630C22#1458347711yescharacteristic
631C22#1458351111yescharacteristic
632C22#1458352011yescharacteristic
633C22#1458355311yescharacteristic
634C22#1458355311yescharacteristic
635C22Q8×D17211yescharacteristic
636C22#1458357111yescharacteristic
637C22#1458358911yescharacteristic
638C22#1458358911yescharacteristic
639C22#1458358911yescharacteristic
640C22#1458359511yescharacteristic
641C22#1458360911yescharacteristic
642C22#1458361411yescharacteristic
643C22#1458361911yescharacteristic
644C22#1458362211yescharacteristic
645C22#1458362211yescharacteristic
646C22#1458362211yescharacteristic
647C22#1458362711yescharacteristic
648C22#1458362711yescharacteristic
649C4—24no—
650C4—24no—
651C4—42no—
652C4—42no—
653C4—42no—
654C4—42no—
655C4—3442no—
656C4—1724no—
657C4—1724no—
658C4—1724no—
659C4#1458278018yescomplemented
660C2C2×#1458278011yescharacteristic
661C2C4×#1306329911yescharacteristic
662C2#1913727711yescharacteristic
663C2#1913754211yescharacteristic
664C2#1913755811yescharacteristic
665C2#1913765311yescharacteristic
666C2#1913768911yescharacteristic
667C2#1913889211yescharacteristic
668C2#1913890311yescharacteristic
669C2#1913911111yescharacteristic
670C2#1913913311yescharacteristic
671C2#1913918111yescharacteristic
672C2#1913920311yescharacteristic
673C2#1913951311yescharacteristic
674C2#1913996111yescharacteristic
subgroupG/H
center, FrattiniC24C23×D43
commutatorC23×C43C23×C4
FittingC2×C4×C4⋊C4×C43C2
socle, prime radical, cosocleC24×C43C24
hypercenterC2×C4×C4⋊C4D43
hypocenterC43#14042
LCSG ▷ C23×C43 ▷ C43
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4

Complements

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

NH ≅ G/Ntype
18. #14582797C4semidirect
318. C4×C43#387semidirect
376. C43#14042semidirect
659. C4#14582780semidirect

Maximal subgroups

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

subgroupindex
C2×#145827972
C2×#145827802
C2×C4×C4⋊Dic432
#191328552
#191328452
#191328252
#191328192
C2×C4×C4⋊C4×C432
#1404243