Finite Group Databasebeta

← C2×#20247377 #26384272

Subgroups — C2×#20247377 #26384272

Order 12032.

2486 conjugacy classes of subgroups.

The subgroup lattice has 672 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13094015C211yesmaximal, characteristic
2C22×C4×Dic94C211yesmaximal, characteristic
3#20247377C2116yesmaximal, direct product factor
4C2×#15689056C211yesmaximal, characteristic
5C2×#15689055C211yesmaximal, characteristic
6C2×#15689044C211yesmaximal, characteristic
7C2×#15689044C211yesmaximal, characteristic
8C2×#15689021C211yesmaximal, characteristic
9C2×#15689020C211yesmaximal, characteristic
10C2×#15689010C211yesmaximal, characteristic
11C2×#15689010C211yesmaximal, characteristic
12C2×#15689010C211yesmaximal, characteristic
13C2×#15689009C211yesmaximal, characteristic
14C2×#15689006C211yesmaximal, characteristic
15C2×C4⋊C4×Dic47C211yesmaximal, characteristic
16C2×C47×#387C211yesmaximal, characteristic
17C23×Dic94C2211yescharacteristic
18C2×#13094015—28no—
19C2×#13094015C2218yes—
20C2×C4×Dic94—28no—
21C2×C4×Dic94C2218yes—
22C22×C4⋊Dic47C2211yescharacteristic
23C22×C4⋊Dic47C2211yescharacteristic
24C22×C4⋊Dic47C2211yescharacteristic
25C22×C4⋊Dic47C2211yescharacteristic
26C22×C4⋊Dic47C2211yescharacteristic
27C22×C4⋊Dic47C2211yescharacteristic
28C22×C4⋊Dic47C2211yescharacteristic
29C22×Dic47⋊C4C2211yescharacteristic
30C22×Dic47⋊C4C2211yescharacteristic
31C22×Dic47⋊C4C2211yescharacteristic
32C22×Dic47⋊C4C2211yescharacteristic
33C22×Dic47⋊C4C2211yescharacteristic
34C22×Dic47⋊C4C2211yescharacteristic
35C22×C4×Dic47C2211yescharacteristic
36C22×C4×Dic47C2211yescharacteristic
37C22×C4×Dic47C2211yescharacteristic
38C22×C4×Dic47C2211yescharacteristic
39#15689056C2218yes—
40#15689055C2218yes—
41#15689044C2218yes—
42#15689044C2218yes—
43#15689021C2218yes—
44#15689020C2218yes—
45#15689010C2218yes—
46#15689010C2218yes—
47#15689010C2218yes—
48#15689009C2218yes—
49#15689006C2218yes—
50C4⋊C4×Dic47C2218yes—
51C2×C47⋊#95C2211yescharacteristic
52C2×C47⋊#95C2211yescharacteristic
53C2×C47⋊#95C2211yescharacteristic
54C2×C47⋊#95C2211yescharacteristic
55C2×C47⋊#95C2211yescharacteristic
56C2×C47⋊#95C2211yescharacteristic
57C2×C47⋊#95C2211yescharacteristic
58C2×C47⋊#95C2211yescharacteristic
59C2×C47⋊#95C2211yescharacteristic
60C2×C47⋊#95C2211yescharacteristic
61C22×C4⋊C4×C47C2211yescharacteristic
62C22×C4⋊C4×C47C2211yescharacteristic
63C22×C42×C47C2211yescharacteristic
64C47×#387C2218yes—
65C2×#95×C47C2211yescharacteristic
66C2×#95×C47C2211yescharacteristic
67C2×#95×C47C2211yescharacteristic
68C2×#95×C47C2211yescharacteristic
69C22×Dic94—24no—
70C22×Dic94—24no—
71C22×Dic94—24no—
72C22×Dic94C2314yes—
73C23×Dic47C2311yescharacteristic
74C23×Dic47C2311yescharacteristic
75C23×Dic47C2311yescharacteristic
76C23×Dic47C2311yescharacteristic
77C23×Dic47C2311yescharacteristic
78C23×Dic47C2311yescharacteristic
79C23×Dic47C2311yescharacteristic
80C23×Dic47C2311yescharacteristic
81#13094015—232no—
82C4×Dic94—232no—
83C2×C4⋊Dic47—24no—
84C2×C4⋊Dic47—24no—
85C2×C4⋊Dic47—24no—
86C2×C4⋊Dic47—24no—
87C2×C4⋊Dic47—24no—
88C2×C4⋊Dic47—24no—
89C2×C4⋊Dic47—24no—
90C2×C4⋊Dic47C2314yes—
91C2×C4⋊Dic47C2314yes—
92C2×C4⋊Dic47C2314yes—
93C2×C4⋊Dic47C2314yes—
94C2×C4⋊Dic47C2314yes—
95C2×C4⋊Dic47C2314yes—
96C2×C4⋊Dic47C2314yes—
97C2×Dic47⋊C4—24no—
98C2×Dic47⋊C4—24no—
99C2×Dic47⋊C4—24no—
100C2×Dic47⋊C4—24no—
101C2×Dic47⋊C4—24no—
102C2×Dic47⋊C4D418yes—
103C2×Dic47⋊C4C2314yes—
104C2×Dic47⋊C4C2314yes—
105C2×Dic47⋊C4C2314yes—
106C2×Dic47⋊C4C2314yes—
107C2×Dic47⋊C4C2314yes—
108C2×Dic47⋊C4C2314yes—
109C2×C4×Dic47—24no—
110C2×C4×Dic47—24no—
111C2×C4×Dic47—24no—
112C2×C4×Dic47—24no—
113C2×C4×Dic47C2314yes—
114C2×C4×Dic47C2314yes—
115C2×C4×Dic47C2314yes—
116C2×C4×Dic47C2314yes—
117C47⋊#95C2314yes—
118C47⋊#95C2314yes—
119C47⋊#95C2314yes—
120C47⋊#95C2314yes—
121C47⋊#95C2314yes—
122C47⋊#95C2314yes—
123C47⋊#95C2314yes—
124C47⋊#95C2314yes—
125C47⋊#95C2314yes—
126C47⋊#95C2314yes—
127C23×C4×C47C2311yescharacteristic
128C23×C4×C47C2311yescharacteristic
129C23×C4×C47C2311yescharacteristic
130C23×C4×C47C2311yescharacteristic
131C23×C4×C47C2311yescharacteristic
132C23×C4×C47C2311yescharacteristic
133C23×C4×C47C2311yescharacteristic
134C2×C4⋊C4×C47—24no—
135C2×C4⋊C4×C47Q818yescomplemented
136C2×C4⋊C4×C47C2314yes—
137C2×C4⋊C4×C47C2314yes—
138C2×C42×C47—24no—
139C2×C42×C47C2314yes—
140#95×C47C2314yes—
141#95×C47C2314yes—
142#95×C47C2314yes—
143#95×C47C2314yes—
144C24×C47C2411yescharacteristic
145C22×C4×C47—22no—
146C22×C4×C47—22no—
147C22×C4×C47—22no—
148C22×C4×C47—22no—
149C22×C4×C47—22no—
150C22×C4×C47—22no—
151C22×C4×C47—22no—
152C22×C4×C47—22no—
153C22×C4×C47—22no—
154C22×C4×C47—22no—
155C22×C4×C47—22no—
156C22×C4×C47—22no—
157C22×C4×C47—22no—
158C22×C4×C47—22no—
159C22×C4×C47—22no—
160C22×C4×C47—22no—
161C22×C4×C47C2×D414yes—
162C22×C4×C47C2×Q814yes—
163C22×C4×C47C2×Q814yes—
164C22×C4×C47C2×Q814yes—
165C22×C4×C47#4114yes—
166C22×C4×C47C2412yes—
167C22×C4×C47C2412yes—
168C22×C4×C47C2412yes—
169C22×C4×C47C2412yes—
170C22×C4×C47C2412yes—
171C22×C4×C47C2412yes—
172C22×C4×C47C2412yes—
173C22×Dic47—22no—
174C22×Dic47—22no—
175C22×Dic47—22no—
176C22×Dic47—22no—
177C22×Dic47—22no—
178C22×Dic47—22no—
179C22×Dic47—22no—
180C22×Dic47—22no—
181C22×Dic47—22no—
182C22×Dic47—22no—
183C22×Dic47—22no—
184C22×Dic47—22no—
185C22×Dic47—22no—
186C22×Dic47—22no—
187C22×Dic47—22no—
188C22×Dic47—22no—
189C22×Dic47—22no—
190C22×Dic47—22no—
191C22×Dic47—22no—
192C22×Dic47—22no—
193C22×Dic47C2×D414yes—
194C22×Dic47C2×D414yes—
195C22×Dic47#4114yes—
196C22×Dic47#4114yes—
197C22×Dic47C2412yes—
198C22×Dic47C2412yes—
199C22×Dic47C2412yes—
200C22×Dic47C2412yes—
201C22×Dic47C2412yes—
202C22×Dic47C2412yes—
203C22×Dic47C2412yes—
204C22×Dic47C2412yes—
205C2×Dic94—232no—
206C2×Dic94—28no—
207C2×Dic94—28no—
208C2×Dic94—28no—
209C4⋊C4×C47—28no—
210C4⋊C4×C47C2×Q8116yescomplemented
211C42×C47—28no—
212C4⋊Dic47—28no—
213C4⋊Dic47—28no—
214C4⋊Dic47—28no—
215C4⋊Dic47—28no—
216C4⋊Dic47—28no—
217C4⋊Dic47—28no—
218C4⋊Dic47—28no—
219Dic47⋊C4—28no—
220Dic47⋊C4—28no—
221Dic47⋊C4—28no—
222Dic47⋊C4—28no—
223Dic47⋊C4—28no—
224Dic47⋊C4C2×D4116yes—
225C4×Dic47—28no—
226C4×Dic47—28no—
227C4×Dic47—28no—
228C4×Dic47—28no—
229C23×C47C22×D412yes—
230C23×C47C22×Q812yes—
231C23×C47C2×#4112yes—
232C23×C47C2×#4112yes—
233C23×C47C2×#4112yes—
234C23×C472−1+412yes—
235C23×C472−1+412yes—
236C23×C47C2511yescharacteristic
237C2×C4×C47—28no—
238C2×C4×C47—28no—
239C2×C4×C47—28no—
240C2×C4×C47—28no—
241C2×C4×C47—28no—
242C2×C4×C47—22no—
243C2×C4×C47—22no—
244C2×C4×C47—22no—
245C2×C4×C47—22no—
246C2×C4×C47—22no—
247C2×C4×C47—22no—
248C2×C4×C47—22no—
249C2×C4×C47—22no—
250C2×C4×C47—22no—
251C2×C4×C47—22no—
252C2×C4×C47—22no—
253C2×C4×C47—22no—
254C2×C4×C47—22no—
255C2×C4×C47—22no—
256C2×C4×C47—22no—
257C2×C4×C47—22no—
258C2×C4×C47—44no—
259C2×C4×C47—44no—
260C2×C4×C47C22×D414yes—
261C2×C4×C47C22×Q814yes—
262C2×C4×C47C22×Q814yes—
263C2×C4×C47C22×Q814yes—
264C2×C4×C47C2×#4114yes—
265C2×Dic47—28no—
266C2×Dic47—28no—
267C2×Dic47—28no—
268C2×Dic47—28no—
269C2×Dic47—22no—
270C2×Dic47—22no—
271C2×Dic47—22no—
272C2×Dic47—22no—
273C2×Dic47—22no—
274C2×Dic47—22no—
275C2×Dic47—22no—
276C2×Dic47—22no—
277C2×Dic47—22no—
278C2×Dic47—22no—
279C2×Dic47—22no—
280C2×Dic47—22no—
281C2×Dic47—22no—
282C2×Dic47—22no—
283C2×Dic47—22no—
284C2×Dic47—22no—
285C2×Dic47—22no—
286C2×Dic47—22no—
287C2×Dic47—22no—
288C2×Dic47—22no—
289C2×Dic47—44no—
290C2×Dic47—44no—
291C2×Dic47—44no—
292C2×Dic47—44no—
293C2×Dic47C22×D414yes—
294C2×Dic47C22×D414yes—
295C2×Dic47C2×#4114yes—
296C2×Dic47C2×#4114yes—
297Dic94—232no—
298C2×#2462—471nomaximal, Sylow
299C22×C47#52514yes—
300C22×C47#53314yes—
301C22×C47#54114yes—
302C22×C47#54714yes—
303C22×C47D4×Q814yes—
304C22×C47#55214yes—
305C22×C47#55714yes—
306C22×C47C23×D411yescharacteristic
307C22×C47C23×Q811yescharacteristic
308C22×C47C22×#4111yescharacteristic
309C22×C47C22×#4111yescharacteristic
310C22×C47C22×#4111yescharacteristic
311C22×C47C2×2−1+411yescharacteristic
312C22×C47C2×2−1+411yescharacteristic
313C4×C47—24no—
314C4×C47—24no—
315C4×C47—24no—
316C4×C47—24no—
317C4×C47—24no—
318C4×C47—42no—
319C4×C47—42no—
320Dic47—24no—
321Dic47—24no—
322Dic47—24no—
323Dic47—24no—
324Dic47—42no—
325Dic47—42no—
326Dic47—42no—
327Dic47—42no—
328C22×#125—471no—
329C22×C4×Q8—471no—
330#2462—4716no—
331C2×#398—471no—
332C2×#398—471no—
333C2×#395—471no—
334C2×#395—471no—
335C2×#389—471no—
336C2×#389—471no—
337C2×#387—471no—
338C2×#387—471no—
339C2×#387—471no—
340C2×#387—471no—
341C2×#387—471no—
342C2×#387D4711yescharacteristic
343C2×C4×C4⋊C4—471no—
344C2×C47#246218yescomplemented
345C2×C47C2×#52511yescharacteristic
346C2×C47C2×#53311yescharacteristic
347C2×C47C2×#54111yescharacteristic
348C2×C47C2×#54711yescharacteristic
349C2×C47C2×D4×Q811yescharacteristic
350C2×C47C2×#55211yescharacteristic
351C2×C47C2×#55711yescharacteristic
352C23×Q8—471no—
353C2×#125—478no—
354C2×#125—948no—
355C2×C4×Q8—478no—
356C2×C4×Q8—948no—
357C22×C4⋊C4—471no—
358C22×C4⋊C4—471no—
359C22×C4⋊C4—471no—
360C22×C4⋊C4—471no—
361C22×C4⋊C4—471no—
362C22×C4⋊C4—471no—
363C22×C4⋊C4—471no—
364C22×C4⋊C4—471no—
365C22×C4⋊C4—471no—
366C22×C4⋊C4—471no—
367C22×C4⋊C4—471no—
368C22×C4⋊C4—471no—
369C22×C4⋊C4—471no—
370C22×C4⋊C4C2×D4711yescharacteristic
371C22×C4⋊C4C2×D4711yescharacteristic
372C22×C42—471no—
373C22×C42—471no—
374C22×C42—471no—
375C22×C42—471no—
376C22×C42C2×D4711yescharacteristic
377#398—478no—
378#398—478no—
379#395—478no—
380#395—478no—
381#389—478no—
382#389—478no—
383#387—478no—
384#387—478no—
385#387—478no—
386#387—478no—
387#387—478no—
388#387C2×D4718yes—
389C4×C4⋊C4—478no—
390C2×#95—471no—
391C2×#95—471no—
392C2×#95—471no—
393C2×#95—471no—
394C2×#95—471no—
395C2×#95—471no—
396C2×#95—471no—
397C2×#95—471no—
398C2×#95—471no—
399C2×#95—471no—
400C2×#95C2×D4711yescharacteristic
401C2×#95C2×D4711yescharacteristic
402C2×#95C2×D4711yescharacteristic
403C2×#95C2×D4711yescharacteristic
404C47C2×#246211yescharacteristic, complemented, Sylow
405C22×Q8—474no—
406C22×Q8—944no—
407C22×Q8—944no—
408C22×Q8—944no—
409C23×C4—471no—
410C23×C4—471no—
411C23×C4—471no—
412C23×C4—471no—
413C23×C4—471no—
414C23×C4—471no—
415C23×C4—471no—
416C23×C4—471no—
417C23×C4C22×D4711yescharacteristic
418C23×C4C22×D4711yescharacteristic
419C23×C4C22×D4711yescharacteristic
420C23×C4C22×D4711yescharacteristic
421C23×C4C22×D4711yescharacteristic
422C23×C4C22×D4711yescharacteristic
423C23×C4C22×D4711yescharacteristic
424#125—9432no—
425C4×Q8—9432no—
426C2×C4⋊C4—24no—
427C2×C4⋊C4—478no—
428C2×C4⋊C4—474no—
429C2×C4⋊C4—474no—
430C2×C4⋊C4—474no—
431C2×C4⋊C4—474no—
432C2×C4⋊C4—474no—
433C2×C4⋊C4—474no—
434C2×C4⋊C4—474no—
435C2×C4⋊C4—474no—
436C2×C4⋊C4—474no—
437C2×C4⋊C4—474no—
438C2×C4⋊C4—474no—
439C2×C4⋊C4—474no—
440C2×C4⋊C4—474no—
441C2×C4⋊C4—944no—
442C2×C4⋊C4—944no—
443C2×C4⋊C4—944no—
444C2×C4⋊C4—944no—
445C2×C4⋊C4—944no—
446C2×C4⋊C4—944no—
447C2×C4⋊C4—944no—
448C2×C4⋊C4—944no—
449C2×C4⋊C4—944no—
450C2×C4⋊C4—944no—
451C2×C4⋊C4—944no—
452C2×C4⋊C4—944no—
453C2×C4⋊C4Dic9418yescomplemented
454C2×C4⋊C4C22×D4714yes—
455C2×C4⋊C4C22×D4714yes—
456C2×C42—24no—
457C2×C42—474no—
458C2×C42—474no—
459C2×C42—474no—
460C2×C42—474no—
461C2×C42—944no—
462C2×C42—944no—
463C2×C42—944no—
464C2×C42—944no—
465C2×C42C22×D4714yes—
466#95—474no—
467#95—474no—
468#95—474no—
469#95—474no—
470#95—474no—
471#95—474no—
472#95—474no—
473#95—474no—
474#95—474no—
475#95—474no—
476#95C22×D4714yes—
477#95C22×D4714yes—
478#95C22×D4714yes—
479#95C22×D4714yes—
480C24C23×D4711yescharacteristic
481C2×Q8—948no—
482C2×Q8—948no—
483C2×Q8—9432no—
484C2×Q8—948no—
485C22×C4—22no—
486C22×C4—22no—
487C22×C4—22no—
488C22×C4—22no—
489C22×C4—22no—
490C22×C4—22no—
491C22×C4—22no—
492C22×C4—22no—
493C22×C4—22no—
494C22×C4—22no—
495C22×C4—22no—
496C22×C4—22no—
497C22×C4—22no—
498C22×C4—22no—
499C22×C4—22no—
500C22×C4—22no—
501C22×C4—474no—
502C22×C4—474no—
503C22×C4—474no—
504C22×C4—474no—
505C22×C4—472no—
506C22×C4—472no—
507C22×C4—472no—
508C22×C4—472no—
509C22×C4—472no—
510C22×C4—472no—
511C22×C4—472no—
512C22×C4—472no—
513C22×C4—942no—
514C22×C4—942no—
515C22×C4—942no—
516C22×C4—942no—
517C22×C4—942no—
518C22×C4—942no—
519C22×C4—942no—
520C22×C4—942no—
521C22×C4—942no—
522C22×C4—942no—
523C22×C4—942no—
524C22×C4—942no—
525C22×C4—942no—
526C22×C4—942no—
527C22×C4—942no—
528C22×C4—942no—
529C22×C4—942no—
530C22×C4—942no—
531C22×C4—942no—
532C22×C4—942no—
533C22×C4C2×Dic9414yes—
534C22×C4C2×Dic9414yes—
535C22×C4C2×Dic9414yes—
536C22×C4D4×D4714yes—
537C22×C4#1062535414yes—
538C22×C4C23×D4712yes—
539C22×C4C23×D4712yes—
540C22×C4C23×D4712yes—
541C22×C4C23×D4712yes—
542C22×C4C23×D4712yes—
543C22×C4C23×D4712yes—
544C22×C4C23×D4712yes—
545C4⋊C4—28no—
546C4⋊C4—4716no—
547C4⋊C4—948no—
548C4⋊C4—948no—
549C4⋊C4—948no—
550C4⋊C4—948no—
551C4⋊C4—948no—
552C4⋊C4—948no—
553C4⋊C4—948no—
554C4⋊C4—948no—
555C4⋊C4—948no—
556C4⋊C4—948no—
557C4⋊C4—948no—
558C4⋊C4—948no—
559C4⋊C4C2×Dic94116yescomplemented
560C42—28no—
561C42—948no—
562C42—948no—
563C42—948no—
564C42—948no—
565C23C2×D4×D4712yes—
566C23C22×Dic9412yes—
567C23#41×D4712yes—
568C23#41×D4712yes—
569C23C2×#1062535412yes—
570C23#1309407112yes—
571C23#1309407112yes—
572C23C24×D4711yescharacteristic
573Q8—9432no—
574C2×C4—28no—
575C2×C4—28no—
576C2×C4—28no—
577C2×C4—28no—
578C2×C4—28no—
579C2×C4—22no—
580C2×C4—22no—
581C2×C4—22no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—22no—
587C2×C4—22no—
588C2×C4—22no—
589C2×C4—22no—
590C2×C4—22no—
591C2×C4—22no—
592C2×C4—22no—
593C2×C4—22no—
594C2×C4—22no—
595C2×C4—44no—
596C2×C4—44no—
597C2×C4—474no—
598C2×C4—474no—
599C2×C4—474no—
600C2×C4—474no—
601C2×C4—948no—
602C2×C4—948no—
603C2×C4—948no—
604C2×C4—948no—
605C2×C4—942no—
606C2×C4—942no—
607C2×C4—942no—
608C2×C4—942no—
609C2×C4—942no—
610C2×C4—942no—
611C2×C4—942no—
612C2×C4—942no—
613C2×C4—942no—
614C2×C4—942no—
615C2×C4—942no—
616C2×C4—942no—
617C2×C4—942no—
618C2×C4—942no—
619C2×C4—942no—
620C2×C4—942no—
621C2×C4—942no—
622C2×C4—942no—
623C2×C4—942no—
624C2×C4—942no—
625C2×C4—1884no—
626C2×C4—1884no—
627C2×C4—1884no—
628C2×C4—1884no—
629C2×C4C2×D4×D4714yes—
630C2×C4C22×Dic9414yes—
631C2×C4C22×Dic9414yes—
632C2×C4C22×Dic9414yes—
633C2×C4C2×#1062535414yes—
634C22#1568963614yes—
635C22#1568967614yes—
636C22#1568973014yes—
637C22#1568977114yes—
638C22D4×Dic9414yes—
639C22#1568981114yes—
640C22#1568985214yes—
641C22C22×D4×D4711yescharacteristic
642C22C23×Dic9411yescharacteristic
643C22C2×#41×D4711yescharacteristic
644C22C2×#41×D4711yescharacteristic
645C22C22×#1062535411yescharacteristic
646C22C2×#1309407111yescharacteristic
647C22C2×#1309407111yescharacteristic
648C4—24no—
649C4—24no—
650C4—24no—
651C4—24no—
652C4—24no—
653C4—42no—
654C4—42no—
655C4—944no—
656C4—944no—
657C4—944no—
658C4—944no—
659C4—1882no—
660C4—1882no—
661C4—1882no—
662C4—1882no—
663C2#2024737718yesdirect product factor
664C2C2×#1568963611yescharacteristic
665C2C2×#1568967611yescharacteristic
666C2C2×#1568973011yescharacteristic
667C2C2×#1568977111yescharacteristic
668C2C2×D4×Dic9411yescharacteristic
669C2C2×#1568981111yescharacteristic
670C2C2×#1568985211yescharacteristic
subgroupG/H
centerC24C23×D47
commutator, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC2×C47×#387C2
socle, prime radicalC24×C47C24
hypercenterC2×#387D47
hypocenterC47C2×#2462
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C24 ◁ C2×#387

Complements

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

NH ≅ G/Ntype
3. #20247377C2direct (N × H)
135. C2×C4⋊C4×C47Q8semidirect
210. C4⋊C4×C47C2×Q8semidirect
344. C2×C47#2462semidirect
404. C47C2×#2462semidirect
453. C2×C4⋊C4Dic94semidirect
559. C4⋊C4C2×Dic94semidirect
663. C2#20247377direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130940152
C22×C4×Dic942
#202473772
C2×#156890562
C2×#156890552
C2×#156890442
C2×#156890212
C2×#156890202
C2×#156890102
C2×#156890092
C2×#156890062
C2×C4⋊C4×Dic472
C2×C47×#3872
C2×#246247