Finite Group Databasebeta

← C4×#15689468 #26224241

Subgroups — C4×#15689468 #26224241

Order 12032.

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×#15689468C211yesmaximal, characteristic
2C4×#13094023C211yesmaximal, characteristic, complemented
3C4×#13094020C211yesmaximal, characteristic
4#20244347C211yesmaximal, characteristic, complemented
5#20244192C211yesmaximal, characteristic
6#20244073C211yesmaximal, characteristic, complemented
7#20244072C211yesmaximal, characteristic, complemented
8#20244069C211yesmaximal, characteristic, complemented
9#20244068C211yesmaximal, characteristic, complemented
10#20243514C211yesmaximal, characteristic, complemented
11C4×#13093944C211yesmaximal, characteristic, complemented
12C4×#13093946C211yesmaximal, characteristic, complemented
13C4×#13093945C211yesmaximal, characteristic, complemented
14C4×C8×Dic47C211yesmaximal, characteristic, complemented
15C4×#102×C47C211yesmaximal, characteristic, complemented
16C2×#13094023C2211yescharacteristic
17C2×#13094020C2211yescharacteristic
18C2×C4×Dic94—21no—
19C2×C4×D188C2211yescharacteristic
20C2×C4×C22⋊D47—21no—
21C2×C4×C22⋊D47—21no—
22#15689468C418yesdirect product factor
23C2×#13093946C2211yescharacteristic
24C2×#13093946C2211yescharacteristic
25C2×#13093945C2211yescharacteristic
26C2×#13093945C2211yescharacteristic
27C2×#13093944C2211yescharacteristic
28C2×#13093944C2211yescharacteristic
29C2×C4×C47⋊C8C2211yescharacteristic
30C2×C8×Dic47C2211yescharacteristic
31C2×C8×Dic47C2211yescharacteristic
32C2×C8×Dic47C2211yescharacteristic
33C2×C8×Dic47C2211yescharacteristic
34#15689027—21no—
35#15689026C2211yescharacteristic
36#15689024C2211yescharacteristic
37#15689023—21no—
38#15689023—21no—
39#15689022C2211yescharacteristic
40#15689020—21no—
41#15689019C2211yescharacteristic
42#15688992C2211yescharacteristic
43#15688992C2211yescharacteristic
44C4×Dic47⋊C4—21no—
45C4×C4⋊Dic47C2211yescharacteristic
46C42×Dic47C2211yescharacteristic
47#15688886C2211yescharacteristic
48#15688886C2211yescharacteristic
49#15688885C2211yescharacteristic
50#15688885C2211yescharacteristic
51#15688885C2211yescharacteristic
52#15688885C2211yescharacteristic
53C2×C4×D4×C47C2211yescharacteristic
54C2×#102×C47C2211yescharacteristic
55C2×#102×C47C2211yescharacteristic
56C2×C4×C8×C47C2211yescharacteristic
57C4×C4⋊C4×C47C2211yescharacteristic
58C47×#340C2211yescharacteristic
59C47×#340C2211yescharacteristic
60C22×Dic94—21no—
61C22×D188C2311yescharacteristic
62C22×C22⋊D47—21no—
63C22×C22⋊D47—21no—
64C22×C4×D47—21no—
65C22×C47⋊C8C2311yescharacteristic
66C22×C47⋊C8C2311yescharacteristic
67#13094023—22no—
68#13094023C2×C414yescomplemented
69#13094020—22no—
70#13094020C2×C414yes—
71C4×Dic94—44no—
72C4×D188—22no—
73C4×D188—22no—
74C4×C22⋊D47—44no—
75C4×C22⋊D47—44no—
76C2×C4⋊Dic47—21no—
77C2×C4⋊Dic47C2311yescharacteristic
78C2×C4⋊Dic47C2311yescharacteristic
79C2×C4⋊Dic47C2311yescharacteristic
80C2×Dic47⋊C4—21no—
81C2×Dic47⋊C4—21no—
82C2×Dic47⋊C4—21no—
83C2×Dic47⋊C4—21no—
84C2×Dic47⋊C4—21no—
85C2×Dic47⋊C4—21no—
86C2×C22⋊Dic47—21no—
87C2×C22⋊Dic47—21no—
88C2×(C2×D47)⋊C4—21no—
89C2×(C2×D47)⋊C4—21no—
90C2×(C2×D47)⋊C4—21no—
91C2×C4×Dic47—21no—
92C2×C4×Dic47D411yescharacteristic
93C2×C4×Dic47D411yescharacteristic
94C2×C4×Dic47D411yescharacteristic
95C2×C4×Dic47D411yescharacteristic
96C2×C4×Dic47C2311yescharacteristic
97C2×C4×Dic47C2311yescharacteristic
98#13093946—22no—
99#13093946C2×C414yescomplemented
100#13093945—22no—
101#13093945C2×C414yescomplemented
102#13093944—22no—
103#13093944C2×C414yescomplemented
104C4×C47⋊C8—22no—
105C8×Dic47—22no—
106C8×Dic47—22no—
107C8×Dic47—22no—
108C8×Dic47C2×C414yescomplemented
109C47⋊#95—21no—
110C47⋊#95—21no—
111C47⋊#95—21no—
112C22×D4×C47C2311yescharacteristic
113C23×C4×C47—21no—
114C22×C8×C47C2311yescharacteristic
115C22×C8×C47C2311yescharacteristic
116C4×D4×C47—22no—
117C4×D4×C47—22no—
118C2×C4⋊C4×C47C2311yescharacteristic
119C2×C4⋊C4×C47C2311yescharacteristic
120C2×C4⋊C4×C47C2311yescharacteristic
121C2×C22⋊C4×C47—21no—
122C2×C42×C47—21no—
123C2×C42×C47C2311yescharacteristic
124#102×C47—22no—
125#102×C47C2×C414yescomplemented
126C4×C8×C47—22no—
127#95×C47—21no—
128C24×C47—21no—
129C23×D47—21no—
130C2×D4×C47—21no—
131C2×D4×C47—21no—
132C2×D4×C47—21no—
133C2×D4×C47—21no—
134C2×D4×C47—21no—
135C2×D4×C47C22×C412yes—
136C22×C4×C47—21no—
137C22×C4×C47—21no—
138C22×C4×C47—21no—
139C22×C4×C47—42no—
140C22×C4×C47—42no—
141C22×C4×C47—42no—
142C22×C4×C47C2×D411yescharacteristic
143C22×C4×C47C2×D411yescharacteristic
144C22×C4×C47C2411yescharacteristic
145C2×C22⋊D47—24no—
146C2×C22⋊D47—24no—
147C2×C22⋊D47—42no—
148C2×C22⋊D47—42no—
149C2×C22⋊D47—42no—
150C2×C22⋊D47—42no—
151C22×Dic47—21no—
152C22×Dic47—21no—
153C22×Dic47—21no—
154C22×Dic47C2×D411yescharacteristic
155C22×Dic47C2×D411yescharacteristic
156C22×Dic47C2×D411yescharacteristic
157C22×Dic47C2×D411yescharacteristic
158C2×D188—21no—
159C2×D188—21no—
160C2×D188—21no—
161C2×D188—21no—
162C2×D188—21no—
163C2×D188C22×C412yes—
164C2×C4×D47—42no—
165C2×C4×D47—42no—
166C2×C4×D47—42no—
167C2×Dic94—24no—
168C2×Dic94—42no—
169C2×Dic94—42no—
170C2×C8×C47—21no—
171C2×C8×C47—21no—
172C2×C8×C47—21no—
173C2×C8×C47—21no—
174C2×C8×C47C22×C412yes—
175C2×C8×C47#4112yes—
176C4⋊C4×C47—21no—
177C4⋊C4×C47—21no—
178C4⋊C4×C47—21no—
179C4⋊C4×C47—21no—
180C4⋊C4×C47—21no—
181C4⋊C4×C47C22×C412yes—
182C22⋊C4×C47—42no—
183C42×C47—42no—
184C42×C47#4112yes—
185C42×C47#4112yes—
186C22⋊Dic47—42no—
187C22⋊Dic47—42no—
188(C2×D47)⋊C4—42no—
189(C2×D47)⋊C4—42no—
190(C2×D47)⋊C4—42no—
191C4⋊Dic47—21no—
192C4⋊Dic47—21no—
193C4⋊Dic47—21no—
194C4⋊Dic47—21no—
195C4⋊Dic47—21no—
196C4⋊Dic47—42no—
197C4⋊Dic47C22×C412yes—
198Dic47⋊C4—24no—
199Dic47⋊C4—42no—
200Dic47⋊C4—42no—
201Dic47⋊C4—42no—
202Dic47⋊C4—42no—
203Dic47⋊C4—42no—
204C4×Dic47—21no—
205C4×Dic47—21no—
206C4×Dic47—22no—
207C4×Dic47—22no—
208C4×Dic47—42no—
209C4×Dic47D814yes—
210C4×Dic47SD1614yes—
211C4×Dic47C22×C412yes—
212C4×Dic47#4112yes—
213C2×C47⋊C8—21no—
214C2×C47⋊C8—21no—
215C2×C47⋊C8—21no—
216C2×C47⋊C8—21no—
217C2×C47⋊C8C22×C412yes—
218C2×C47⋊C8#4112yes—
219C23×C47—22no—
220C23×C47—41no—
221C23×C47—41no—
222C23×C47—41no—
223C23×C47—41no—
224C23×C47—41no—
225C23×C47—41no—
226C23×C47C22×D411yescharacteristic
227C22×D47—22no—
228C22×D47—41no—
229C22×D47—41no—
230C22×D47—41no—
231C22×D47—41no—
232C22×D47—41no—
233C22×D47—41no—
234D4×C47—22no—
235D4×C47—22no—
236D4×C47—41no—
237D4×C47—41no—
238C2×C4×C47—21no—
239C2×C4×C47—21no—
240C2×C4×C47—22no—
241C2×C4×C47—41no—
242C2×C4×C47—41no—
243C2×C4×C47—41no—
244C2×C4×C47—41no—
245C2×C4×C47—41no—
246C2×C4×C47—41no—
247C2×C4×C47—41no—
248C2×C4×C47—41no—
249C2×C4×C47—84no—
250C2×C4×C47#12412yes—
251C2×C4×C47#12412yes—
252C2×C4×C47C2×D812yes—
253C2×C4×C47C2×SD1612yes—
254C2×C4×C47C23×C411yescharacteristic
255C2×C4×C47C2×#4111yescharacteristic
256C2×C4×C47C2×#4111yescharacteristic
257C2×C4×C47C2×#4111yescharacteristic
258C2×C4×C47C2×#4111yescharacteristic
259C2×C4×C47C2×#4111yescharacteristic
260C22⋊D47—48no—
261C22⋊D47—48no—
262C2×Dic47—21no—
263C2×Dic47—21no—
264C2×Dic47—21no—
265C2×Dic47—21no—
266C2×Dic47—22no—
267C2×Dic47—41no—
268C2×Dic47—41no—
269C2×Dic47—41no—
270C2×Dic47—41no—
271C2×Dic47—41no—
272C2×Dic47—41no—
273C2×Dic47—41no—
274C2×Dic47—41no—
275C2×Dic47C4×D412yes—
276C2×Dic47C4×D412yes—
277C2×Dic47C2×D812yes—
278C2×Dic47C2×D812yes—
279C2×Dic47C2×SD1612yes—
280C2×Dic47C2×SD1612yes—
281C2×Dic47#13512yes—
282C2×Dic47#13512yes—
283D188—22no—
284D188—22no—
285D188—41no—
286D188—41no—
287C4×D47—84no—
288Dic94—48no—
289C8×C47—22no—
290C8×C47—22no—
291C47⋊C8—22no—
292C47⋊C8—22no—
293C4×#486—471nomaximal, Sylow
294C22×C47—42no—
295C22×C47—42no—
296C22×C47—42no—
297C22×C47—81no—
298C22×C47—81no—
299C22×C47—81no—
300C22×C47—81no—
301C22×C47C2×C4×D411yescharacteristic
302C22×C47C2×#12411yescharacteristic
303C22×C47#53211yescharacteristic
304C22×C47C22×D811yescharacteristic
305C22×C47C22×SD1611yescharacteristic
306C22×C47C2×#13511yescharacteristic
307C22×C47C2×#13511yescharacteristic
308C2×D47—42no—
309C2×D47—42no—
310C2×D47—42no—
311C2×D47—81no—
312C2×D47—81no—
313C2×D47—81no—
314C2×D47—81no—
315C4×C47—22no—
316C4×C47—42no—
317C4×C47—81no—
318C4×C47—81no—
319C4×C47#48614yescomplemented
320C4×C47C4×#4111yescharacteristic
321C4×C47C4×#4111yescharacteristic
322C4×C47#52911yescharacteristic
323C4×C47#52911yescharacteristic
324Dic47—22no—
325Dic47—22no—
326Dic47—42no—
327Dic47—81no—
328Dic47—81no—
329Dic47C4×D814yes—
330Dic47C4×SD1614yes—
331C2×#486—471no—
332C4×C4⋊Q8—471no—
333C4×#127—471no—
334#1990—471no—
335#1957—471no—
336#1934—471no—
337#1934—471no—
338#1934—471no—
339#1934—471no—
340#1834—471no—
341C4×#102—471no—
342C4×#102—471no—
343C4×#102—471no—
344C4×#102D4711yescharacteristic, complemented
345C42×C8—471no—
346C2×C47—82no—
347C2×C47C4×#12411yescharacteristic
348C2×C47C2×C4×D811yescharacteristic
349C2×C47C2×C4×SD1611yescharacteristic
350C2×C47C2×#48611yescharacteristic
351C2×C47#313111yescharacteristic
352C2×C47#316711yescharacteristic
353C2×C47#316911yescharacteristic
354D47—82no—
355C2×C4⋊Q8—471no—
356C2×#127—471no—
357C2×C4×Q8—941no—
358C2×C4×D4—471no—
359C2×C4×D4—941no—
360C2×C4×D4—941no—
361C2×C4×D4C2×D4711yescharacteristic
362#486—478no—
363C2×#102—471no—
364C2×#102—471no—
365C2×#102—471no—
366C2×#102—471no—
367C2×#102—471no—
368C2×#102—471no—
369C2×#102C2×D4711yescharacteristic
370C2×#102C2×D4711yescharacteristic
371C2×C4×C8—471no—
372C2×C4×C8—471no—
373C2×C4×C8—471no—
374C2×C4×C8—471no—
375C2×C4×C8—471no—
376C2×C4×C8C2×D4711yescharacteristic
377#391—941no—
378#390—471no—
379#390—471no—
380#390—941no—
381#390—941no—
382#389—471no—
383#389—471no—
384#389—941no—
385#384—471no—
386#384—471no—
387C4×C4⋊C4—471no—
388C4×C4⋊C4—941no—
389C4×C4⋊C4C2×D4711yescharacteristic
390C43—471no—
391#340—471no—
392#340—471no—
393#340—471no—
394#340—471no—
395#340—471no—
396#340—471no—
397#340C2×D4711yescharacteristic
398#340C2×D4711yescharacteristic
399C47C4×#48611yescharacteristic, complemented, Sylow
400C22×Q8—941no—
401C22×D4—471no—
402C22×D4—941no—
403C22×D4—941no—
404C22×D4C22×D4711yescharacteristic
405C23×C4—21no—
406C23×C4—941no—
407C22×C8—471no—
408C22×C8—471no—
409C22×C8C22×D4711yescharacteristic
410C22×C8C22×D4711yescharacteristic
411C4⋊Q8—474no—
412C4⋊Q8—942no—
413#127—474no—
414#127—942no—
415C4×Q8—1884no—
416C4×D4—22no—
417C4×D4—22no—
418C4×D4—942no—
419C4×D4—942no—
420C4×D4—1884no—
421C4×D4—1884no—
422C2×C4⋊C4—471no—
423C2×C4⋊C4—471no—
424C2×C4⋊C4—471no—
425C2×C4⋊C4—941no—
426C2×C4⋊C4—941no—
427C2×C4⋊C4—941no—
428C2×C4⋊C4—941no—
429C2×C4⋊C4—941no—
430C2×C4⋊C4—941no—
431C2×C4⋊C4—941no—
432C2×C4⋊C4C22×D4711yescharacteristic
433C2×C4⋊C4C22×D4711yescharacteristic
434C2×C4⋊C4C22×D4711yescharacteristic
435C2×C22⋊C4—21no—
436C2×C22⋊C4—941no—
437C2×C22⋊C4—941no—
438C2×C22⋊C4—941no—
439C2×C22⋊C4—941no—
440C2×C22⋊C4—941no—
441C2×C42—21no—
442C2×C42—471no—
443C2×C42—471no—
444C2×C42—471no—
445C2×C42—471no—
446C2×C42—471no—
447C2×C42—471no—
448C2×C42—941no—
449C2×C42C22×D4711yescharacteristic
450#102—22no—
451#102—474no—
452#102—474no—
453#102—474no—
454#102—942no—
455#102—942no—
456#102—942no—
457#102C4×D4714yescomplemented
458C4×C8—22no—
459C4×C8—474no—
460C4×C8—942no—
461C4×C8—942no—
462C4×C8—942no—
463C4×C8—942no—
464#95—21no—
465#95—941no—
466#95—941no—
467#95—941no—
468C24—21no—
469C24—941no—
470C2×Q8—944no—
471C2×Q8—1882no—
472C2×Q8—1882no—
473C2×D4—21no—
474C2×D4—21no—
475C2×D4—21no—
476C2×D4—21no—
477C2×D4—21no—
478C2×D4—472no—
479C2×D4—944no—
480C2×D4—944no—
481C2×D4—941no—
482C2×D4—941no—
483C2×D4—941no—
484C2×D4—941no—
485C2×D4—941no—
486C2×D4—1882no—
487C2×D4—1882no—
488C2×D4—1882no—
489C2×D4—1882no—
490C2×D4C2×C4×D4712yes—
491C22×C4—21no—
492C22×C4—21no—
493C22×C4—21no—
494C22×C4—42no—
495C22×C4—42no—
496C22×C4—42no—
497C22×C4—471no—
498C22×C4—471no—
499C22×C4—471no—
500C22×C4—471no—
501C22×C4—941no—
502C22×C4—941no—
503C22×C4—941no—
504C22×C4—1882no—
505C22×C4—1882no—
506C22×C4—1882no—
507C22×C4D4×D4711yescharacteristic
508C22×C4D4×D4711yescharacteristic
509C22×C4C23×D4711yescharacteristic
510C2×C8—21no—
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—472no—
515C2×C8—472no—
516C2×C8—941no—
517C2×C8—941no—
518C2×C8—941no—
519C2×C8—941no—
520C2×C8C2×C4×D4712yes—
521C2×C8#1062535012yes—
522C4⋊C4—21no—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—472no—
528C4⋊C4—944no—
529C4⋊C4—941no—
530C4⋊C4—941no—
531C4⋊C4—941no—
532C4⋊C4—941no—
533C4⋊C4—941no—
534C4⋊C4—1882no—
535C4⋊C4—1882no—
536C4⋊C4—1882no—
537C4⋊C4—1882no—
538C4⋊C4—1882no—
539C4⋊C4—1882no—
540C4⋊C4C2×C4×D4712yes—
541C22⋊C4—42no—
542C22⋊C4—1882no—
543C22⋊C4—1882no—
544C22⋊C4—1882no—
545C22⋊C4—1882no—
546C22⋊C4—1882no—
547C42—42no—
548C42—474no—
549C42—474no—
550C42—472no—
551C42—472no—
552C42—942no—
553C42—942no—
554C42—941no—
555C42—941no—
556C42—1882no—
557C42#1062535012yes—
558C42#1062535212yes—
559C23—22no—
560C23—41no—
561C23—41no—
562C23—41no—
563C23—41no—
564C23—41no—
565C23—41no—
566C23—942no—
567C23—1881no—
568C23—1881no—
569C23—1881no—
570C23—1881no—
571C23—1881no—
572C23—1881no—
573C23C2×D4×D4711yescharacteristic
574Q8—1888no—
575D4—22no—
576D4—22no—
577D4—41no—
578D4—41no—
579D4—942no—
580D4—942no—
581D4—1888no—
582D4—1888no—
583D4—1881no—
584D4—1881no—
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—472no—
598C2×C4—472no—
599C2×C4—472no—
600C2×C4—472no—
601C2×C4—472no—
602C2×C4—472no—
603C2×C4—472no—
604C2×C4—472no—
605C2×C4—941no—
606C2×C4—941no—
607C2×C4—941no—
608C2×C4—941no—
609C2×C4—942no—
610C2×C4—3764no—
611C2×C4—1881no—
612C2×C4—1881no—
613C2×C4—1881no—
614C2×C4—1881no—
615C2×C4—1881no—
616C2×C4—1881no—
617C2×C4—1881no—
618C2×C4—1881no—
619C2×C4#1309401012yes—
620C2×C4#1309401012yes—
621C2×C4D8×D4712yes—
622C2×C4SD16×D4712yes—
623C2×C4C22×C4×D4711yescharacteristic
624C2×C4#41×D4711yescharacteristic
625C2×C4#41×D4711yescharacteristic
626C2×C4C2×#1062535211yescharacteristic
627C2×C4C2×#1062535011yescharacteristic
628C2×C4C2×#1062535011yescharacteristic
629C8—22no—
630C8—22no—
631C8—942no—
632C8—942no—
633C22—42no—
634C22—42no—
635C22—42no—
636C22—81no—
637C22—81no—
638C22—81no—
639C22—81no—
640C22—3761no—
641C22—3761no—
642C22—3761no—
643C22—3761no—
644C22—1882no—
645C22—1882no—
646C22—1882no—
647C22C4×D4×D4711yescharacteristic
648C22C2×#1309401011yescharacteristic
649C22#1568967011yescharacteristic
650C22C2×D8×D4711yescharacteristic
651C22C2×SD16×D4711yescharacteristic
652C22#135×D4711yescharacteristic
653C22#135×D4711yescharacteristic
654C4—22no—
655C4—42no—
656C4—81no—
657C4—81no—
658C4—474no—
659C4—474no—
660C4—942no—
661C4—942no—
662C4—3761no—
663C4—3761no—
664C4—1882no—
665C4#1568946814yesdirect product factor
666C4C4×#1062535211yescharacteristic
667C4C4×#1062535011yescharacteristic
668C4#1568965111yescharacteristic
669C4#1568965311yescharacteristic
670C2—82no—
671C2—3762no—
672C2C4×#1309401011yescharacteristic
673C2C4×D8×D4711yescharacteristic
674C2C4×SD16×D4711yescharacteristic
675C2C2×#1568946811yescharacteristic
676C2#2025370811yescharacteristic
677C2#2025394411yescharacteristic
678C2#2025396411yescharacteristic
subgroupG/H
centerC22×C4D4×D47
commutatorC2×C4×C47C23×C4
FrattiniC22×C4C23×D47
FittingC4×#102×C47C2
socleC23×C47C22×D4
prime radicalC2×#13094020C22
cosocleC22×C4×C47C24
hypercenterC4×#102D47
hypocenterC47C4×#486
LCSG ▷ C2×C4×C47 ▷ C2×C47 ▷ C47
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C4×#102

Complements

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

NH ≅ G/Ntype
2. C4×#13094023C2semidirect
4. #20244347C2semidirect
6. #20244073C2semidirect
7. #20244072C2semidirect
8. #20244069C2semidirect
9. #20244068C2semidirect
10. #20243514C2semidirect
11. C4×#13093944C2semidirect
12. C4×#13093946C2semidirect
13. C4×#13093945C2semidirect
14. C4×C8×Dic47C2semidirect
15. C4×#102×C47C2semidirect
22. #15689468C4direct (N × H)
68. #13094023C2×C4semidirect
99. #13093946C2×C4semidirect
101. #13093945C2×C4semidirect
103. #13093944C2×C4semidirect
108. C8×Dic47C2×C4semidirect
125. #102×C47C2×C4semidirect
319. C4×C47#486semidirect
344. C4×#102D47semidirect
399. C47C4×#486semidirect
457. #102C4×D47semidirect
665. C4#15689468direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#156894682
C4×#130940232
C4×#130940202
#202443472
#202441922
#202440732
#202440722
#202440692
#202440682
#202435142
C4×#130939442
C4×#130939462
C4×#130939452
C4×C8×Dic472
C4×#102×C472
C4×#48647