Finite Group Databasebeta

← C4×#14583214 #25103708

Subgroups — C4×#14583214 #25103708

Order 11008.

1060 conjugacy classes of subgroups.

The subgroup lattice has 678 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#14583214C211yesmaximal, characteristic
2C4×#13063300C211yesmaximal, characteristic
3C4×C4⋊C4×D43C211yesmaximal, characteristic, complemented
4#19135214C211yesmaximal, characteristic, complemented
5#19135213C211yesmaximal, characteristic, complemented
6#19135169C211yesmaximal, characteristic, complemented
7#19135168C211yesmaximal, characteristic, complemented
8#19134911C211yesmaximal, characteristic
9#19134781C211yesmaximal, characteristic, complemented
10#19134680C211yesmaximal, characteristic, complemented
11C4×#13063258C211yesmaximal, characteristic, complemented
12C4×#13063245C211yesmaximal, characteristic, complemented
13C4×#13063247C211yesmaximal, characteristic, complemented
14C4×(C2×D43)⋊C8C211yesmaximal, characteristic, complemented
15C4×#107×C43C211yesmaximal, characteristic, complemented
16C2×#13063300C2211yescharacteristic
17C2×C4×D172—21no—
18C2×C4×D172C2211yescharacteristic
19C2×C4⋊C4×D43C2211yescharacteristic
20C2×C4⋊C4×D43C2211yescharacteristic
21C2×C42×D43—21no—
22C2×C42×D43C2211yescharacteristic
23#14583214C418yesdirect product factor
24C2×#13063258C2211yescharacteristic
25C2×#13063258C2211yescharacteristic
26C2×#13063247C2211yescharacteristic
27C2×#13063247C2211yescharacteristic
28C2×#13063245C2211yescharacteristic
29C2×#13063245C2211yescharacteristic
30C2×(C2×D43)⋊C8C2211yescharacteristic
31C2×(C2×D43)⋊C8C2211yescharacteristic
32C2×C4×C43⋊C8C2211yescharacteristic
33#14582800C2211yescharacteristic
34#14582798C2211yescharacteristic
35#14582791—21no—
36#14582777—21no—
37#14582756C2211yescharacteristic
38C4⋊C4×Dic43C2211yescharacteristic
39C4⋊C4×Dic43C2211yescharacteristic
40C4×Dic43⋊C4—21no—
41C4×C4⋊Dic43C2211yescharacteristic
42#14582750—21no—
43C4×(C2×D43)⋊C4—21no—
44#95×D43—21no—
45#14582662C2211yescharacteristic
46#14582662C2211yescharacteristic
47#14582661C2211yescharacteristic
48#14582661C2211yescharacteristic
49#14582661C2211yescharacteristic
50#14582661C2211yescharacteristic
51#14582653C2211yescharacteristic
52#14582653C2211yescharacteristic
53C2×#107×C43C2211yescharacteristic
54C2×#107×C43C2211yescharacteristic
55C2×C4×C8×C43C2211yescharacteristic
56C4×C4⋊C4×C43C2211yescharacteristic
57C4×C4⋊C4×C43C2211yescharacteristic
58C43×#340C2211yescharacteristic
59C43×#340C2211yescharacteristic
60C22×D172—21no—
61C22×D172C2311yescharacteristic
62C22×C4×D43—21no—
63C22×C4×D43—21no—
64C22×C4×D43—21no—
65C22×C4×D43D411yescharacteristic
66C22×C4×D43D411yescharacteristic
67C22×C4×D43C2311yescharacteristic
68C22×C43⋊C8C2311yescharacteristic
69C22×C43⋊C8C2311yescharacteristic
70#13063300—22no—
71#13063300C2×C414yes—
72C4×D172—22no—
73C4×D172—22no—
74C4×D172—44no—
75C2×C4⋊Dic43—21no—
76C2×C4⋊Dic43C2311yescharacteristic
77C2×C4⋊Dic43C2311yescharacteristic
78C2×C4⋊Dic43C2311yescharacteristic
79C2×Dic43⋊C4—21no—
80C2×Dic43⋊C4—21no—
81C4⋊C4×D43—22no—
82C4⋊C4×D43—22no—
83C4⋊C4×D43—22no—
84C4⋊C4×D43C2×C414yescomplemented
85C2×(C2×D43)⋊C4—21no—
86C2×(C2×D43)⋊C4—21no—
87C2×(C2×D43)⋊C4—21no—
88C2×(C2×D43)⋊C4—21no—
89C2×(C2×D43)⋊C4—21no—
90C2×C4×Dic43—21no—
91C2×C4×Dic43—21no—
92C2×C4×Dic43—21no—
93C2×C4×Dic43D411yescharacteristic
94C2×C4×Dic43D411yescharacteristic
95C2×C4×Dic43C2311yescharacteristic
96C42×D43—22no—
97C42×D43—22no—
98C42×D43—44no—
99#13063258—22no—
100#13063258C2×C414yescomplemented
101#13063247—22no—
102#13063247C2×C414yescomplemented
103#13063245—22no—
104#13063245C2×C414yescomplemented
105(C2×D43)⋊C8—22no—
106(C2×D43)⋊C8C2×C414yescomplemented
107C4×C43⋊C8—22no—
108C43⋊#95—21no—
109C43⋊#95—21no—
110C43⋊#95—21no—
111C43⋊#95—21no—
112C43⋊#95—21no—
113C22×C8×C43C2311yescharacteristic
114C22×C8×C43C2311yescharacteristic
115C2×C4⋊C4×C43C2311yescharacteristic
116C2×C4⋊C4×C43C2311yescharacteristic
117C2×C4⋊C4×C43C2311yescharacteristic
118C2×C4⋊C4×C43C2311yescharacteristic
119C2×C42×C43—21no—
120C2×C42×C43—21no—
121C2×C42×C43C2311yescharacteristic
122#107×C43—22no—
123#107×C43C2×C414yescomplemented
124C4×C8×C43—22no—
125#95×C43—21no—
126#95×C43—21no—
127C23×D43—21no—
128C23×D43C2×D411yescharacteristic
129C22×C4×C43—21no—
130C22×C4×C43—21no—
131C22×C4×C43—21no—
132C22×C4×C43—21no—
133C22×C4×C43C2×D411yescharacteristic
134C22×C4×C43C2×D411yescharacteristic
135C22×C4×C43C2411yescharacteristic
136C22×Dic43—21no—
137C22×Dic43—21no—
138C22×Dic43—21no—
139C22×Dic43C2×D411yescharacteristic
140C22×Dic43C2×D411yescharacteristic
141C22×Dic43C2×D411yescharacteristic
142C2×D172—21no—
143C2×D172—24no—
144C2×D172—21no—
145C2×D172—21no—
146C2×D172—21no—
147C2×D172—21no—
148C2×D172—42no—
149C2×D172—42no—
150C2×D172C22×C412yes—
151C2×C4×D43—22no—
152C2×C4×D43—22no—
153C2×C4×D43—21no—
154C2×C4×D43—21no—
155C2×C4×D43—21no—
156C2×C4×D43—21no—
157C2×C4×D43—24no—
158C2×C4×D43—22no—
159C2×C4×D43—24no—
160C2×C4×D43—22no—
161C2×C4×D43—41no—
162C2×C4×D43—42no—
163C2×C4×D43—42no—
164C2×C4×D43—42no—
165C2×C4×D43—42no—
166C2×C4×D43—42no—
167C2×C4×D43—42no—
168C2×C4×D43—42no—
169C2×C4×D43D814yes—
170C2×C4×D43C22×C412yes—
171C2×C4×D43#4112yes—
172C2×C8×C43—21no—
173C2×C8×C43—21no—
174C2×C8×C43—21no—
175C2×C8×C43—21no—
176C2×C8×C43—21no—
177C2×C8×C43C22×C412yes—
178C4⋊C4×C43—21no—
179C4⋊C4×C43—21no—
180C4⋊C4×C43—21no—
181C4⋊C4×C43—21no—
182C4⋊C4×C43—21no—
183C4⋊C4×C43C22×C412yes—
184C4⋊C4×C43C22×C412yes—
185C4⋊C4×C43#4112yes—
186C42×C43—42no—
187C42×C43—42no—
188C42×C43#4112yes—
189C42×C43#4112yes—
190(C2×D43)⋊C4—24no—
191(C2×D43)⋊C4—42no—
192(C2×D43)⋊C4—42no—
193(C2×D43)⋊C4—42no—
194(C2×D43)⋊C4—42no—
195C4⋊Dic43—21no—
196C4⋊Dic43—21no—
197C4⋊Dic43—21no—
198C4⋊Dic43—21no—
199C4⋊Dic43—42no—
200C4⋊Dic43C22×C412yes—
201C4⋊Dic43#4112yes—
202Dic43⋊C4—24no—
203Dic43⋊C4—24no—
204C4×Dic43—22no—
205C4×Dic43—22no—
206C4×Dic43—21no—
207C4×Dic43—21no—
208C4×Dic43—42no—
209C4×Dic43—42no—
210C4×Dic43—42no—
211C2×C43⋊C8—21no—
212C2×C43⋊C8—21no—
213C2×C43⋊C8—21no—
214C2×C43⋊C8—21no—
215C2×C43⋊C8—21no—
216C2×C43⋊C8C22×C412yes—
217C23×C43C22×D411yescharacteristic
218C22×D43—21no—
219C22×D43—21no—
220C22×D43—21no—
221C22×D43—21no—
222C22×D43—22no—
223C22×D43—41no—
224C22×D43—41no—
225C22×D43—41no—
226C22×D43—41no—
227C22×D43—41no—
228C22×D43—41no—
229C22×D43C4×D412yes—
230C22×D43C2×D812yes—
231C22×D43#13512yes—
232C2×C4×C43—21no—
233C2×C4×C43—21no—
234C2×C4×C43—22no—
235C2×C4×C43—22no—
236C2×C4×C43—22no—
237C2×C4×C43—41no—
238C2×C4×C43—41no—
239C2×C4×C43—41no—
240C2×C4×C43—41no—
241C2×C4×C43—41no—
242C2×C4×C43—41no—
243C2×C4×C43—41no—
244C2×C4×C43—41no—
245C2×C4×C43—41no—
246C2×C4×C43#12312yes—
247C2×C4×C43#12312yes—
248C2×C4×C43C2×D812yes—
249C2×C4×C43#13712yes—
250C2×C4×C43C23×C411yescharacteristic
251C2×C4×C43C2×#4111yescharacteristic
252C2×C4×C43C2×#4111yescharacteristic
253C2×C4×C43C2×#4111yescharacteristic
254C2×C4×C43C2×#4111yescharacteristic
255C2×C4×C43C2×#4111yescharacteristic
256C2×Dic43—21no—
257C2×Dic43—21no—
258C2×Dic43—21no—
259C2×Dic43—21no—
260C2×Dic43—22no—
261C2×Dic43—21no—
262C2×Dic43—22no—
263C2×Dic43—21no—
264C2×Dic43—21no—
265C2×Dic43—41no—
266C2×Dic43—41no—
267C2×Dic43—41no—
268C2×Dic43—41no—
269C2×Dic43—41no—
270C2×Dic43—41no—
271C2×Dic43—41no—
272C2×Dic43C4×D412yes—
273C2×Dic43C2×D812yes—
274D172—22no—
275D172—22no—
276D172—48no—
277D172—41no—
278D172—41no—
279C4×D43—22no—
280C4×D43—22no—
281C4×D43—22no—
282C4×D43—22no—
283C4×D43—28no—
284C4×D43—44no—
285C4×D43—48no—
286C4×D43—48no—
287C4×D43—84no—
288C8×C43—22no—
289C8×C43—41no—
290C43⋊C8—22no—
291C43⋊C8—41no—
292C4×#480—431nomaximal, Sylow
293C22×C43C2×C4×D411yescharacteristic
294C22×C43C2×#12311yescharacteristic
295C22×C43#52511yescharacteristic
296C22×C43C22×D811yescharacteristic
297C22×C43C2×#13511yescharacteristic
298C22×C43C2×#13711yescharacteristic
299C22×C43#57511yescharacteristic
300C2×D43—22no—
301C2×D43—22no—
302C2×D43—22no—
303C2×D43—22no—
304C2×D43—22no—
305C2×D43—22no—
306C2×D43—42no—
307C2×D43—42no—
308C2×D43—42no—
309C2×D43—81no—
310C2×D43—81no—
311C2×D43—81no—
312C2×D43—81no—
313C2×D43C4×D814yes—
314C4×C43—22no—
315C4×C43—42no—
316C4×C43—42no—
317C4×C43—42no—
318C4×C43—81no—
319C4×C43#48014yescomplemented
320C4×C43C4×#4111yescharacteristic
321C4×C43C4×#4111yescharacteristic
322C4×C43#52911yescharacteristic
323C4×C43#52911yescharacteristic
324Dic43—22no—
325Dic43—22no—
326Dic43—41no—
327Dic43—42no—
328Dic43—42no—
329Dic43—81no—
330C2×#480—431no—
331C4×#121—431no—
332C2×C4×C4⋊C4—431no—
333#1925—431no—
334#1925—431no—
335#1918—431no—
336#1918—431no—
337#1874—431no—
338#1852—431no—
339#1823—431no—
340C4×#107—431no—
341C4×#107D4311yescharacteristic, complemented
342C4×#102—431no—
343C4×#102—431no—
344C4×C22⋊C8—431no—
345C2×C43C4×#12311yescharacteristic
346C2×C43C2×C4×D811yescharacteristic
347C2×C43C4×#13711yescharacteristic
348C2×C43C2×#48011yescharacteristic
349C2×C43#309111yescharacteristic
350C2×C43#310011yescharacteristic
351C2×C43#310811yescharacteristic
352D43—24no—
353D43—82no—
354C2×#121—431no—
355C2×C4×D4—431no—
356C2×C4×D4—861no—
357C22×C4⋊C4—431no—
358C22×C4⋊C4—431no—
359C22×C42—431no—
360C22×C42—861no—
361#480—438no—
362C2×#107—431no—
363C2×#107—431no—
364C2×#107C2×D4311yescharacteristic
365C2×#107C2×D4311yescharacteristic
366C2×#102—431no—
367C2×#102—431no—
368C2×#102—431no—
369C2×#102—431no—
370C2×C22⋊C8—431no—
371C2×C22⋊C8—431no—
372C2×C4×C8—431no—
373C2×C4×C8C2×D4311yescharacteristic
374#390—431no—
375#389—431no—
376#388—861no—
377#386—861no—
378#380—431no—
379C4×C4⋊C4—431no—
380C4×C4⋊C4—431no—
381C4×C4⋊C4—431no—
382C4×C4⋊C4—861no—
383C4×C4⋊C4—861no—
384C4×C4⋊C4C2×D4311yescharacteristic
385C4×C4⋊C4C2×D4311yescharacteristic
386C4×C22⋊C4—861no—
387C2×#95—861no—
388#340—431no—
389#340—431no—
390#340—431no—
391#340—431no—
392#340—431no—
393#340—431no—
394#340C2×D4311yescharacteristic
395#340C2×D4311yescharacteristic
396#336—431no—
397#336—431no—
398C43C4×#48011yescharacteristic, complemented, Sylow
399C22×D4—431no—
400C22×D4—861no—
401C23×C4—431no—
402C23×C4—431no—
403C23×C4—431no—
404C23×C4—861no—
405C23×C4—861no—
406C23×C4—861no—
407C22×C8—431no—
408C22×C8—431no—
409C22×C8C22×D4311yescharacteristic
410C22×C8C22×D4311yescharacteristic
411#121—434no—
412#121—862no—
413C4×D4—862no—
414C4×D4—862no—
415C4×D4—1724no—
416C2×C4⋊C4—431no—
417C2×C4⋊C4—431no—
418C2×C4⋊C4—434no—
419C2×C4⋊C4—431no—
420C2×C4⋊C4—862no—
421C2×C4⋊C4—862no—
422C2×C4⋊C4—861no—
423C2×C4⋊C4—861no—
424C2×C4⋊C4—862no—
425C2×C4⋊C4—861no—
426C2×C4⋊C4C22×D4311yescharacteristic
427C2×C4⋊C4C22×D4311yescharacteristic
428C2×C4⋊C4C22×D4311yescharacteristic
429C2×C4⋊C4C22×D4311yescharacteristic
430C2×C22⋊C4—861no—
431C2×C22⋊C4—861no—
432C2×C22⋊C4—861no—
433C2×C22⋊C4—861no—
434C2×C22⋊C4—861no—
435C2×C42—21no—
436C2×C42—21no—
437C2×C42—431no—
438C2×C42—431no—
439C2×C42—431no—
440C2×C42—862no—
441C2×C42—862no—
442C2×C42—861no—
443C2×C42—861no—
444C2×C42—861no—
445C2×C42—1724no—
446C2×C42C22×D4311yescharacteristic
447#107—22no—
448#107—434no—
449#107—862no—
450#107C4×D4314yescomplemented
451#102—434no—
452#102—434no—
453#102—862no—
454#102—862no—
455C22⋊C8—434no—
456C22⋊C8—862no—
457C4×C8—22no—
458C4×C8—862no—
459#95—21no—
460#95—21no—
461#95—861no—
462#95—861no—
463#95—861no—
464#95—861no—
465#95—861no—
466C24—431no—
467C24—861no—
468C2×D4—432no—
469C2×D4—864no—
470C2×D4—861no—
471C2×D4—861no—
472C2×D4—861no—
473C2×D4—861no—
474C2×D4—861no—
475C2×D4—1722no—
476C2×D4—1722no—
477C22×C4—21no—
478C22×C4—21no—
479C22×C4—21no—
480C22×C4—21no—
481C22×C4—431no—
482C22×C4—431no—
483C22×C4—434no—
484C22×C4—432no—
485C22×C4—432no—
486C22×C4—431no—
487C22×C4—864no—
488C22×C4—862no—
489C22×C4—864no—
490C22×C4—862no—
491C22×C4—862no—
492C22×C4—861no—
493C22×C4—861no—
494C22×C4—861no—
495C22×C4—861no—
496C22×C4—861no—
497C22×C4—861no—
498C22×C4—862no—
499C22×C4—861no—
500C22×C4—1721no—
501C22×C4—1722no—
502C22×C4—1722no—
503C22×C4—1722no—
504C22×C4—1722no—
505C22×C4—1722no—
506C22×C4—1722no—
507C22×C4—1722no—
508C22×C4D4×D4311yescharacteristic
509C22×C4D4×D4311yescharacteristic
510C22×C4C23×D4311yescharacteristic
511C2×C8—21no—
512C2×C8—21no—
513C2×C8—21no—
514C2×C8—21no—
515C2×C8—21no—
516C2×C8—432no—
517C2×C8—861no—
518C2×C8—861no—
519C2×C8—861no—
520C2×C8—861no—
521C2×C8—861no—
522C2×C8C2×C4×D4312yes—
523C4⋊C4—21no—
524C4⋊C4—21no—
525C4⋊C4—21no—
526C4⋊C4—21no—
527C4⋊C4—21no—
528C4⋊C4—432no—
529C4⋊C4—432no—
530C4⋊C4—864no—
531C4⋊C4—864no—
532C4⋊C4—861no—
533C4⋊C4—861no—
534C4⋊C4—861no—
535C4⋊C4—861no—
536C4⋊C4—1722no—
537C4⋊C4C2×C4×D4312yes—
538C4⋊C4C2×C4×D4312yes—
539C4⋊C4#1062189812yes—
540C22⋊C4—864no—
541C22⋊C4—1722no—
542C22⋊C4—1722no—
543C22⋊C4—1722no—
544C22⋊C4—1722no—
545C42—42no—
546C42—42no—
547C42—862no—
548C42—862no—
549C42—861no—
550C42—861no—
551C42—1722no—
552C42—1722no—
553C42—1722no—
554C42#1062189812yes—
555C42#1062190212yes—
556C23—432no—
557C23—432no—
558C23—432no—
559C23—861no—
560C23—861no—
561C23—861no—
562C23—861no—
563C23—862no—
564C23—1721no—
565C23—1721no—
566C23—1721no—
567C23—1721no—
568C23—1721no—
569C23—1721no—
570C23C2×D4×D4311yescharacteristic
571D4—862no—
572D4—862no—
573D4—1728no—
574D4—1721no—
575D4—1721no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—41no—
582C2×C4—41no—
583C2×C4—41no—
584C2×C4—41no—
585C2×C4—41no—
586C2×C4—41no—
587C2×C4—41no—
588C2×C4—41no—
589C2×C4—41no—
590C2×C4—432no—
591C2×C4—432no—
592C2×C4—861no—
593C2×C4—861no—
594C2×C4—861no—
595C2×C4—861no—
596C2×C4—862no—
597C2×C4—862no—
598C2×C4—862no—
599C2×C4—862no—
600C2×C4—868no—
601C2×C4—862no—
602C2×C4—861no—
603C2×C4—862no—
604C2×C4—861no—
605C2×C4—861no—
606C2×C4—3444no—
607C2×C4—1724no—
608C2×C4—1728no—
609C2×C4—1728no—
610C2×C4—1721no—
611C2×C4—1721no—
612C2×C4—1721no—
613C2×C4—1721no—
614C2×C4—1721no—
615C2×C4—1721no—
616C2×C4—1721no—
617C2×C4#1306331012yes—
618C2×C4#1306331012yes—
619C2×C4D8×D4312yes—
620C2×C4#1306335712yes—
621C2×C4C22×C4×D4311yescharacteristic
622C2×C4#41×D4311yescharacteristic
623C2×C4#41×D4311yescharacteristic
624C2×C4C2×#1062189811yescharacteristic
625C2×C4C2×#1062189811yescharacteristic
626C2×C4C2×#1062190211yescharacteristic
627C8—22no—
628C8—41no—
629C8—862no—
630C8—1721no—
631C22—434no—
632C22—862no—
633C22—862no—
634C22—862no—
635C22—862no—
636C22—862no—
637C22—862no—
638C22—3441no—
639C22—3441no—
640C22—3441no—
641C22—3441no—
642C22—1722no—
643C22—1722no—
644C22—1722no—
645C22C4×D4×D4311yescharacteristic
646C22C2×#1306331011yescharacteristic
647C22#1458340811yescharacteristic
648C22C2×D8×D4311yescharacteristic
649C22#135×D4311yescharacteristic
650C22C2×#1306335711yescharacteristic
651C22#1458369611yescharacteristic
652C4—22no—
653C4—42no—
654C4—42no—
655C4—42no—
656C4—81no—
657C4—862no—
658C4—862no—
659C4—3441no—
660C4—1721no—
661C4—1722no—
662C4—1722no—
663C4#1458321414yesdirect product factor
664C4C4×#1062189811yescharacteristic
665C4C4×#1062190211yescharacteristic
666C4#1458342711yescharacteristic
667C4#1458343611yescharacteristic
668C2—864no—
669C2—3442no—
670C2C4×#1306331011yescharacteristic
671C2C4×D8×D4311yescharacteristic
672C2C4×#1306335711yescharacteristic
673C2C2×#1458321411yescharacteristic
674C2#1914451211yescharacteristic
675C2#1914459311yescharacteristic
676C2#1914467911yescharacteristic
subgroupG/H
centerC22×C4D4×D43
commutatorC2×C4×C43C23×C4
FrattiniC22×C4C23×D43
FittingC4×#107×C43C2
socleC23×C43C22×D4
prime radicalC2×#13063300C22
cosocleC22×C4×C43C24
hypercenterC4×#107D43
hypocenterC43C4×#480
LCSG ▷ C2×C4×C43 ▷ C2×C43 ▷ C43
UCSC1 ◁ C22×C4 ◁ C2×C42 ◁ C4×#107

Complements

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

NH ≅ G/Ntype
3. C4×C4⋊C4×D43C2semidirect
4. #19135214C2semidirect
5. #19135213C2semidirect
6. #19135169C2semidirect
7. #19135168C2semidirect
9. #19134781C2semidirect
10. #19134680C2semidirect
11. C4×#13063258C2semidirect
12. C4×#13063245C2semidirect
13. C4×#13063247C2semidirect
14. C4×(C2×D43)⋊C8C2semidirect
15. C4×#107×C43C2semidirect
23. #14583214C4direct (N × H)
84. C4⋊C4×D43C2×C4semidirect
100. #13063258C2×C4semidirect
102. #13063247C2×C4semidirect
104. #13063245C2×C4semidirect
106. (C2×D43)⋊C8C2×C4semidirect
123. #107×C43C2×C4semidirect
319. C4×C43#480semidirect
341. C4×#107D43semidirect
398. C43C4×#480semidirect
450. #107C4×D43semidirect
663. C4#14583214direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#145832142
C4×#130633002
C4×C4⋊C4×D432
#191352142
#191352132
#191351692
#191351682
#191349112
#191347812
#191346802
C4×#130632582
C4×#130632452
C4×#130632472
C4×(C2×D43)⋊C82
C4×#107×C432
C4×#48043