Finite Group Databasebeta

← C4×#14583244 #25104560

Subgroups — C4×#14583244 #25104560

Order 11008.

1046 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583244C211yesmaximal, characteristic
2C4×#13063324C211yesmaximal, characteristic, complemented
3C4×#13063321C211yesmaximal, characteristic
4#19135554C211yesmaximal, characteristic, complemented
5#19135399C211yesmaximal, characteristic
6#19135280C211yesmaximal, characteristic, complemented
7#19135279C211yesmaximal, characteristic, complemented
8#19135276C211yesmaximal, characteristic, complemented
9#19135275C211yesmaximal, characteristic, complemented
10#19134721C211yesmaximal, characteristic, complemented
11C4×#13063245C211yesmaximal, characteristic, complemented
12C4×#13063247C211yesmaximal, characteristic, complemented
13C4×#13063246C211yesmaximal, characteristic, complemented
14C4×C8×Dic43C211yesmaximal, characteristic, complemented
15C4×#102×C43C211yesmaximal, characteristic, complemented
16C2×#13063324C2211yescharacteristic
17C2×#13063321C2211yescharacteristic
18C2×C4×Dic86—21no—
19C2×C4×D172C2211yescharacteristic
20C2×C4×C22⋊D43—21no—
21C2×C4×C22⋊D43—21no—
22#14583244C418yesdirect product factor
23C2×#13063247C2211yescharacteristic
24C2×#13063247C2211yescharacteristic
25C2×#13063246C2211yescharacteristic
26C2×#13063246C2211yescharacteristic
27C2×#13063245C2211yescharacteristic
28C2×#13063245C2211yescharacteristic
29C2×C4×C43⋊C8C2211yescharacteristic
30C2×C8×Dic43C2211yescharacteristic
31C2×C8×Dic43C2211yescharacteristic
32C2×C8×Dic43C2211yescharacteristic
33C2×C8×Dic43C2211yescharacteristic
34#14582803—21no—
35#14582802C2211yescharacteristic
36#14582800C2211yescharacteristic
37#14582799—21no—
38#14582799—21no—
39#14582798C2211yescharacteristic
40#14582796—21no—
41#14582795C2211yescharacteristic
42#14582768C2211yescharacteristic
43#14582768C2211yescharacteristic
44C4×Dic43⋊C4—21no—
45C4×C4⋊Dic43C2211yescharacteristic
46C42×Dic43C2211yescharacteristic
47#14582662C2211yescharacteristic
48#14582662C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582661C2211yescharacteristic
52#14582661C2211yescharacteristic
53C2×C4×D4×C43C2211yescharacteristic
54C2×#102×C43C2211yescharacteristic
55C2×#102×C43C2211yescharacteristic
56C2×C4×C8×C43C2211yescharacteristic
57C4×C4⋊C4×C43C2211yescharacteristic
58C43×#340C2211yescharacteristic
59C43×#340C2211yescharacteristic
60C22×Dic86—21no—
61C22×D172C2311yescharacteristic
62C22×C22⋊D43—21no—
63C22×C22⋊D43—21no—
64C22×C4×D43—21no—
65C22×C43⋊C8C2311yescharacteristic
66C22×C43⋊C8C2311yescharacteristic
67#13063324—22no—
68#13063324C2×C414yescomplemented
69#13063321—22no—
70#13063321C2×C414yes—
71C4×Dic86—44no—
72C4×D172—22no—
73C4×D172—22no—
74C4×C22⋊D43—44no—
75C4×C22⋊D43—44no—
76C2×C4⋊Dic43—21no—
77C2×C4⋊Dic43C2311yescharacteristic
78C2×C4⋊Dic43C2311yescharacteristic
79C2×C4⋊Dic43C2311yescharacteristic
80C2×Dic43⋊C4—21no—
81C2×Dic43⋊C4—21no—
82C2×Dic43⋊C4—21no—
83C2×Dic43⋊C4—21no—
84C2×Dic43⋊C4—21no—
85C2×Dic43⋊C4—21no—
86C2×C22⋊Dic43—21no—
87C2×C22⋊Dic43—21no—
88C2×(C2×D43)⋊C4—21no—
89C2×(C2×D43)⋊C4—21no—
90C2×(C2×D43)⋊C4—21no—
91C2×C4×Dic43—21no—
92C2×C4×Dic43D411yescharacteristic
93C2×C4×Dic43D411yescharacteristic
94C2×C4×Dic43D411yescharacteristic
95C2×C4×Dic43D411yescharacteristic
96C2×C4×Dic43C2311yescharacteristic
97C2×C4×Dic43C2311yescharacteristic
98#13063247—22no—
99#13063247C2×C414yescomplemented
100#13063246—22no—
101#13063246C2×C414yescomplemented
102#13063245—22no—
103#13063245C2×C414yescomplemented
104C4×C43⋊C8—22no—
105C8×Dic43—22no—
106C8×Dic43—22no—
107C8×Dic43—22no—
108C8×Dic43C2×C414yescomplemented
109C43⋊#95—21no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C22×D4×C43C2311yescharacteristic
113C23×C4×C43—21no—
114C22×C8×C43C2311yescharacteristic
115C22×C8×C43C2311yescharacteristic
116C4×D4×C43—22no—
117C4×D4×C43—22no—
118C2×C4⋊C4×C43C2311yescharacteristic
119C2×C4⋊C4×C43C2311yescharacteristic
120C2×C4⋊C4×C43C2311yescharacteristic
121C2×C22⋊C4×C43—21no—
122C2×C42×C43—21no—
123C2×C42×C43C2311yescharacteristic
124#102×C43—22no—
125#102×C43C2×C414yescomplemented
126C4×C8×C43—22no—
127#95×C43—21no—
128C24×C43—21no—
129C23×D43—21no—
130C2×D4×C43—21no—
131C2×D4×C43—21no—
132C2×D4×C43—21no—
133C2×D4×C43—21no—
134C2×D4×C43—21no—
135C2×D4×C43C22×C412yes—
136C22×C4×C43—21no—
137C22×C4×C43—21no—
138C22×C4×C43—21no—
139C22×C4×C43—42no—
140C22×C4×C43—42no—
141C22×C4×C43—42no—
142C22×C4×C43C2×D411yescharacteristic
143C22×C4×C43C2×D411yescharacteristic
144C22×C4×C43C2411yescharacteristic
145C2×C22⋊D43—24no—
146C2×C22⋊D43—24no—
147C2×C22⋊D43—42no—
148C2×C22⋊D43—42no—
149C2×C22⋊D43—42no—
150C2×C22⋊D43—42no—
151C22×Dic43—21no—
152C22×Dic43—21no—
153C22×Dic43—21no—
154C22×Dic43C2×D411yescharacteristic
155C22×Dic43C2×D411yescharacteristic
156C22×Dic43C2×D411yescharacteristic
157C22×Dic43C2×D411yescharacteristic
158C2×D172—21no—
159C2×D172—21no—
160C2×D172—21no—
161C2×D172—21no—
162C2×D172—21no—
163C2×D172C22×C412yes—
164C2×C4×D43—42no—
165C2×C4×D43—42no—
166C2×C4×D43—42no—
167C2×Dic86—24no—
168C2×Dic86—42no—
169C2×Dic86—42no—
170C2×C8×C43—21no—
171C2×C8×C43—21no—
172C2×C8×C43—21no—
173C2×C8×C43—21no—
174C2×C8×C43C22×C412yes—
175C2×C8×C43#4112yes—
176C4⋊C4×C43—21no—
177C4⋊C4×C43—21no—
178C4⋊C4×C43—21no—
179C4⋊C4×C43—21no—
180C4⋊C4×C43—21no—
181C4⋊C4×C43C22×C412yes—
182C22⋊C4×C43—42no—
183C42×C43—42no—
184C42×C43#4112yes—
185C42×C43#4112yes—
186C22⋊Dic43—42no—
187C22⋊Dic43—42no—
188(C2×D43)⋊C4—42no—
189(C2×D43)⋊C4—42no—
190(C2×D43)⋊C4—42no—
191C4⋊Dic43—21no—
192C4⋊Dic43—21no—
193C4⋊Dic43—21no—
194C4⋊Dic43—21no—
195C4⋊Dic43—21no—
196C4⋊Dic43—42no—
197C4⋊Dic43C22×C412yes—
198Dic43⋊C4—24no—
199Dic43⋊C4—42no—
200Dic43⋊C4—42no—
201Dic43⋊C4—42no—
202Dic43⋊C4—42no—
203Dic43⋊C4—42no—
204C4×Dic43—21no—
205C4×Dic43—21no—
206C4×Dic43—22no—
207C4×Dic43—22no—
208C4×Dic43—42no—
209C4×Dic43D814yes—
210C4×Dic43SD1614yes—
211C4×Dic43C22×C412yes—
212C4×Dic43#4112yes—
213C2×C43⋊C8—21no—
214C2×C43⋊C8—21no—
215C2×C43⋊C8—21no—
216C2×C43⋊C8—21no—
217C2×C43⋊C8C22×C412yes—
218C2×C43⋊C8#4112yes—
219C23×C43—22no—
220C23×C43—41no—
221C23×C43—41no—
222C23×C43—41no—
223C23×C43—41no—
224C23×C43—41no—
225C23×C43—41no—
226C23×C43C22×D411yescharacteristic
227C22×D43—22no—
228C22×D43—41no—
229C22×D43—41no—
230C22×D43—41no—
231C22×D43—41no—
232C22×D43—41no—
233C22×D43—41no—
234D4×C43—22no—
235D4×C43—22no—
236D4×C43—41no—
237D4×C43—41no—
238C2×C4×C43—21no—
239C2×C4×C43—21no—
240C2×C4×C43—22no—
241C2×C4×C43—41no—
242C2×C4×C43—41no—
243C2×C4×C43—41no—
244C2×C4×C43—41no—
245C2×C4×C43—41no—
246C2×C4×C43—41no—
247C2×C4×C43—41no—
248C2×C4×C43—41no—
249C2×C4×C43—84no—
250C2×C4×C43#12412yes—
251C2×C4×C43#12412yes—
252C2×C4×C43C2×D812yes—
253C2×C4×C43C2×SD1612yes—
254C2×C4×C43C23×C411yescharacteristic
255C2×C4×C43C2×#4111yescharacteristic
256C2×C4×C43C2×#4111yescharacteristic
257C2×C4×C43C2×#4111yescharacteristic
258C2×C4×C43C2×#4111yescharacteristic
259C2×C4×C43C2×#4111yescharacteristic
260C22⋊D43—48no—
261C22⋊D43—48no—
262C2×Dic43—21no—
263C2×Dic43—21no—
264C2×Dic43—21no—
265C2×Dic43—21no—
266C2×Dic43—22no—
267C2×Dic43—41no—
268C2×Dic43—41no—
269C2×Dic43—41no—
270C2×Dic43—41no—
271C2×Dic43—41no—
272C2×Dic43—41no—
273C2×Dic43—41no—
274C2×Dic43—41no—
275C2×Dic43C4×D412yes—
276C2×Dic43C4×D412yes—
277C2×Dic43C2×D812yes—
278C2×Dic43C2×D812yes—
279C2×Dic43C2×SD1612yes—
280C2×Dic43C2×SD1612yes—
281C2×Dic43#13512yes—
282C2×Dic43#13512yes—
283D172—22no—
284D172—22no—
285D172—41no—
286D172—41no—
287C4×D43—84no—
288Dic86—48no—
289C8×C43—22no—
290C8×C43—22no—
291C43⋊C8—22no—
292C43⋊C8—22no—
293C4×#486—431nomaximal, Sylow
294C22×C43—42no—
295C22×C43—42no—
296C22×C43—42no—
297C22×C43—81no—
298C22×C43—81no—
299C22×C43—81no—
300C22×C43—81no—
301C22×C43C2×C4×D411yescharacteristic
302C22×C43C2×#12411yescharacteristic
303C22×C43#53211yescharacteristic
304C22×C43C22×D811yescharacteristic
305C22×C43C22×SD1611yescharacteristic
306C22×C43C2×#13511yescharacteristic
307C22×C43C2×#13511yescharacteristic
308C2×D43—42no—
309C2×D43—42no—
310C2×D43—42no—
311C2×D43—81no—
312C2×D43—81no—
313C2×D43—81no—
314C2×D43—81no—
315C4×C43—22no—
316C4×C43—42no—
317C4×C43—81no—
318C4×C43—81no—
319C4×C43#48614yescomplemented
320C4×C43C4×#4111yescharacteristic
321C4×C43C4×#4111yescharacteristic
322C4×C43#52911yescharacteristic
323C4×C43#52911yescharacteristic
324Dic43—22no—
325Dic43—22no—
326Dic43—42no—
327Dic43—81no—
328Dic43—81no—
329Dic43C4×D814yes—
330Dic43C4×SD1614yes—
331C2×#486—431no—
332C4×C4⋊Q8—431no—
333C4×#127—431no—
334#1990—431no—
335#1957—431no—
336#1934—431no—
337#1934—431no—
338#1934—431no—
339#1934—431no—
340#1834—431no—
341C4×#102—431no—
342C4×#102—431no—
343C4×#102—431no—
344C4×#102D4311yescharacteristic, complemented
345C42×C8—431no—
346C2×C43—82no—
347C2×C43C4×#12411yescharacteristic
348C2×C43C2×C4×D811yescharacteristic
349C2×C43C2×C4×SD1611yescharacteristic
350C2×C43C2×#48611yescharacteristic
351C2×C43#313111yescharacteristic
352C2×C43#316711yescharacteristic
353C2×C43#316911yescharacteristic
354D43—82no—
355C2×C4⋊Q8—431no—
356C2×#127—431no—
357C2×C4×Q8—861no—
358C2×C4×D4—431no—
359C2×C4×D4—861no—
360C2×C4×D4—861no—
361C2×C4×D4C2×D4311yescharacteristic
362#486—438no—
363C2×#102—431no—
364C2×#102—431no—
365C2×#102—431no—
366C2×#102—431no—
367C2×#102—431no—
368C2×#102—431no—
369C2×#102C2×D4311yescharacteristic
370C2×#102C2×D4311yescharacteristic
371C2×C4×C8—431no—
372C2×C4×C8—431no—
373C2×C4×C8—431no—
374C2×C4×C8—431no—
375C2×C4×C8—431no—
376C2×C4×C8C2×D4311yescharacteristic
377#391—861no—
378#390—431no—
379#390—431no—
380#390—861no—
381#390—861no—
382#389—431no—
383#389—431no—
384#389—861no—
385#384—431no—
386#384—431no—
387C4×C4⋊C4—431no—
388C4×C4⋊C4—861no—
389C4×C4⋊C4C2×D4311yescharacteristic
390C43—431no—
391#340—431no—
392#340—431no—
393#340—431no—
394#340—431no—
395#340—431no—
396#340—431no—
397#340C2×D4311yescharacteristic
398#340C2×D4311yescharacteristic
399C43C4×#48611yescharacteristic, complemented, Sylow
400C22×Q8—861no—
401C22×D4—431no—
402C22×D4—861no—
403C22×D4—861no—
404C22×D4C22×D4311yescharacteristic
405C23×C4—21no—
406C23×C4—861no—
407C22×C8—431no—
408C22×C8—431no—
409C22×C8C22×D4311yescharacteristic
410C22×C8C22×D4311yescharacteristic
411C4⋊Q8—434no—
412C4⋊Q8—862no—
413#127—434no—
414#127—862no—
415C4×Q8—1724no—
416C4×D4—22no—
417C4×D4—22no—
418C4×D4—862no—
419C4×D4—862no—
420C4×D4—1724no—
421C4×D4—1724no—
422C2×C4⋊C4—431no—
423C2×C4⋊C4—431no—
424C2×C4⋊C4—431no—
425C2×C4⋊C4—861no—
426C2×C4⋊C4—861no—
427C2×C4⋊C4—861no—
428C2×C4⋊C4—861no—
429C2×C4⋊C4—861no—
430C2×C4⋊C4—861no—
431C2×C4⋊C4—861no—
432C2×C4⋊C4C22×D4311yescharacteristic
433C2×C4⋊C4C22×D4311yescharacteristic
434C2×C4⋊C4C22×D4311yescharacteristic
435C2×C22⋊C4—21no—
436C2×C22⋊C4—861no—
437C2×C22⋊C4—861no—
438C2×C22⋊C4—861no—
439C2×C22⋊C4—861no—
440C2×C22⋊C4—861no—
441C2×C42—21no—
442C2×C42—431no—
443C2×C42—431no—
444C2×C42—431no—
445C2×C42—431no—
446C2×C42—431no—
447C2×C42—431no—
448C2×C42—861no—
449C2×C42C22×D4311yescharacteristic
450#102—22no—
451#102—434no—
452#102—434no—
453#102—434no—
454#102—862no—
455#102—862no—
456#102—862no—
457#102C4×D4314yescomplemented
458C4×C8—22no—
459C4×C8—434no—
460C4×C8—862no—
461C4×C8—862no—
462C4×C8—862no—
463C4×C8—862no—
464#95—21no—
465#95—861no—
466#95—861no—
467#95—861no—
468C24—21no—
469C24—861no—
470C2×Q8—864no—
471C2×Q8—1722no—
472C2×Q8—1722no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—432no—
479C2×D4—864no—
480C2×D4—864no—
481C2×D4—861no—
482C2×D4—861no—
483C2×D4—861no—
484C2×D4—861no—
485C2×D4—861no—
486C2×D4—1722no—
487C2×D4—1722no—
488C2×D4—1722no—
489C2×D4—1722no—
490C2×D4C2×C4×D4312yes—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—431no—
498C22×C4—431no—
499C22×C4—431no—
500C22×C4—431no—
501C22×C4—861no—
502C22×C4—861no—
503C22×C4—861no—
504C22×C4—1722no—
505C22×C4—1722no—
506C22×C4—1722no—
507C22×C4D4×D4311yescharacteristic
508C22×C4D4×D4311yescharacteristic
509C22×C4C23×D4311yescharacteristic
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—432no—
515C2×C8—432no—
516C2×C8—861no—
517C2×C8—861no—
518C2×C8—861no—
519C2×C8—861no—
520C2×C8C2×C4×D4312yes—
521C2×C8#1062189812yes—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—432no—
528C4⋊C4—864no—
529C4⋊C4—861no—
530C4⋊C4—861no—
531C4⋊C4—861no—
532C4⋊C4—861no—
533C4⋊C4—861no—
534C4⋊C4—1722no—
535C4⋊C4—1722no—
536C4⋊C4—1722no—
537C4⋊C4—1722no—
538C4⋊C4—1722no—
539C4⋊C4—1722no—
540C4⋊C4C2×C4×D4312yes—
541C22⋊C4—42no—
542C22⋊C4—1722no—
543C22⋊C4—1722no—
544C22⋊C4—1722no—
545C22⋊C4—1722no—
546C22⋊C4—1722no—
547C42—42no—
548C42—434no—
549C42—434no—
550C42—432no—
551C42—432no—
552C42—862no—
553C42—862no—
554C42—861no—
555C42—861no—
556C42—1722no—
557C42#1062189812yes—
558C42#1062190012yes—
559C23—22no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—862no—
567C23—1721no—
568C23—1721no—
569C23—1721no—
570C23—1721no—
571C23—1721no—
572C23—1721no—
573C23C2×D4×D4311yescharacteristic
574Q8—1728no—
575D4—22no—
576D4—22no—
577D4—41no—
578D4—41no—
579D4—862no—
580D4—862no—
581D4—1728no—
582D4—1728no—
583D4—1721no—
584D4—1721no—
585C2×C4—21no—
586C2×C4—21no—
587C2×C4—22no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—41no—
591C2×C4—41no—
592C2×C4—41no—
593C2×C4—41no—
594C2×C4—41no—
595C2×C4—41no—
596C2×C4—84no—
597C2×C4—432no—
598C2×C4—432no—
599C2×C4—432no—
600C2×C4—432no—
601C2×C4—432no—
602C2×C4—432no—
603C2×C4—432no—
604C2×C4—432no—
605C2×C4—861no—
606C2×C4—861no—
607C2×C4—861no—
608C2×C4—861no—
609C2×C4—862no—
610C2×C4—3444no—
611C2×C4—1721no—
612C2×C4—1721no—
613C2×C4—1721no—
614C2×C4—1721no—
615C2×C4—1721no—
616C2×C4—1721no—
617C2×C4—1721no—
618C2×C4—1721no—
619C2×C4#1306331112yes—
620C2×C4#1306331112yes—
621C2×C4D8×D4312yes—
622C2×C4SD16×D4312yes—
623C2×C4C22×C4×D4311yescharacteristic
624C2×C4#41×D4311yescharacteristic
625C2×C4#41×D4311yescharacteristic
626C2×C4C2×#1062190011yescharacteristic
627C2×C4C2×#1062189811yescharacteristic
628C2×C4C2×#1062189811yescharacteristic
629C8—22no—
630C8—22no—
631C8—862no—
632C8—862no—
633C22—42no—
634C22—42no—
635C22—42no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—3441no—
641C22—3441no—
642C22—3441no—
643C22—3441no—
644C22—1722no—
645C22—1722no—
646C22—1722no—
647C22C4×D4×D4311yescharacteristic
648C22C2×#1306331111yescharacteristic
649C22#1458344611yescharacteristic
650C22C2×D8×D4311yescharacteristic
651C22C2×SD16×D4311yescharacteristic
652C22#135×D4311yescharacteristic
653C22#135×D4311yescharacteristic
654C4—22no—
655C4—42no—
656C4—81no—
657C4—81no—
658C4—434no—
659C4—434no—
660C4—862no—
661C4—862no—
662C4—3441no—
663C4—3441no—
664C4—1722no—
665C4#1458324414yesdirect product factor
666C4C4×#1062190011yescharacteristic
667C4C4×#1062189811yescharacteristic
668C4#1458342711yescharacteristic
669C4#1458342911yescharacteristic
670C2—82no—
671C2—3442no—
672C2C4×#1306331111yescharacteristic
673C2C4×D8×D4311yescharacteristic
674C2C4×SD16×D4311yescharacteristic
675C2C2×#1458324411yescharacteristic
676C2#1914491511yescharacteristic
677C2#1914515111yescharacteristic
678C2#1914517111yescharacteristic
subgroupG/H
centerC22×C4D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC4×#102×C43C2
socleC23×C43C22×D4
prime radicalC2×#13063321C22
cosocleC22×C4×C43C24
hypercenterC4×#102D43
hypocenterC43C4×#486
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C4×#102

Complements

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

NH ≅ G/Ntype
2. C4×#13063324C2semidirect
4. #19135554C2semidirect
6. #19135280C2semidirect
7. #19135279C2semidirect
8. #19135276C2semidirect
9. #19135275C2semidirect
10. #19134721C2semidirect
11. C4×#13063245C2semidirect
12. C4×#13063247C2semidirect
13. C4×#13063246C2semidirect
14. C4×C8×Dic43C2semidirect
15. C4×#102×C43C2semidirect
22. #14583244C4direct (N × H)
68. #13063324C2×C4semidirect
99. #13063247C2×C4semidirect
101. #13063246C2×C4semidirect
103. #13063245C2×C4semidirect
108. C8×Dic43C2×C4semidirect
125. #102×C43C2×C4semidirect
319. C4×C43#486semidirect
344. C4×#102D43semidirect
399. C43C4×#486semidirect
457. #102C4×D43semidirect
665. C4#14583244direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145832442
C4×#130633242
C4×#130633212
#191355542
#191353992
#191352802
#191352792
#191352762
#191352752
#191347212
C4×#130632452
C4×#130632472
C4×#130632462
C4×C8×Dic432
C4×#102×C432
C4×#48643