Finite Group Databasebeta

← C2×#24911238 #35572430

Subgroups — C2×#24911238 #35572430

Order 21248.

2550 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
1C22×#14581791C211yesmaximal, characteristic
2C22×C4×Dic166C211yesmaximal, characteristic
3#24911238C2116yesmaximal, direct product factor
4C2×#19127643C211yesmaximal, characteristic
5C2×#19127640C211yesmaximal, characteristic
6C2×#19127635C211yesmaximal, characteristic
7C2×#19127633C211yesmaximal, characteristic
8C2×#19127605C211yesmaximal, characteristic
9C2×#19127605C211yesmaximal, characteristic
10C2×#19127605C211yesmaximal, characteristic
11C2×#19127598C211yesmaximal, characteristic
12C2×#19127587C211yesmaximal, characteristic
13C2×#19127585C211yesmaximal, characteristic
14C2×#19127584C211yesmaximal, characteristic
15C2×C4⋊C4×Dic83C211yesmaximal, characteristic
16C2×#387×C83C211yesmaximal, characteristic
17C23×Dic166C2211yescharacteristic
18C23×Dic166C2211yescharacteristic
19C2×#14581791—28no—
20C2×#14581791C2218yes—
21C2×C4×Dic166—28no—
22C2×C4×Dic166C2218yes—
23C22×C4⋊Dic83C2211yescharacteristic
24C22×C4⋊Dic83C2211yescharacteristic
25C22×C4⋊Dic83C2211yescharacteristic
26C22×C4⋊Dic83C2211yescharacteristic
27C22×Dic83⋊C4C2211yescharacteristic
28C22×Dic83⋊C4C2211yescharacteristic
29C22×Dic83⋊C4C2211yescharacteristic
30C22×Dic83⋊C4C2211yescharacteristic
31C22×Dic83⋊C4C2211yescharacteristic
32C22×Dic83⋊C4C2211yescharacteristic
33C22×C4×Dic83C2211yescharacteristic
34C22×C4×Dic83C2211yescharacteristic
35C22×C4×Dic83C2211yescharacteristic
36C22×C4×Dic83C2211yescharacteristic
37#19127643C2218yes—
38#19127640C2218yes—
39#19127635C2218yes—
40#19127633C2218yes—
41#19127605C2218yes—
42#19127605C2218yes—
43#19127605C2218yes—
44#19127598C2218yes—
45#19127587C2218yes—
46#19127585C2218yes—
47#19127584C2218yes—
48C4⋊C4×Dic83C2218yes—
49C2×C83⋊#95C2211yescharacteristic
50C2×C83⋊#95C2211yescharacteristic
51C2×C83⋊#95C2211yescharacteristic
52C2×C83⋊#95C2211yescharacteristic
53C2×C83⋊#95C2211yescharacteristic
54C2×C83⋊#95C2211yescharacteristic
55C2×C83⋊#95C2211yescharacteristic
56C2×C83⋊#95C2211yescharacteristic
57C2×C83⋊#95C2211yescharacteristic
58C2×C83⋊#95C2211yescharacteristic
59C2×C83⋊#95C2211yescharacteristic
60C2×C83⋊#95C2211yescharacteristic
61C22×C4⋊C4×C83C2211yescharacteristic
62C22×C4⋊C4×C83C2211yescharacteristic
63C22×C42×C83C2211yescharacteristic
64#387×C83C2218yes—
65C2×#95×C83C2211yescharacteristic
66C2×#95×C83C2211yescharacteristic
67C2×#95×C83C2211yescharacteristic
68C2×#95×C83C2211yescharacteristic
69C22×Dic166—24no—
70C22×Dic166—24no—
71C22×Dic166—24no—
72C22×Dic166—24no—
73C22×Dic166—24no—
74C22×Dic166D418yes—
75C22×Dic166C2314yes—
76C22×Dic166C2314yes—
77C23×Dic83C2311yescharacteristic
78C23×Dic83C2311yescharacteristic
79C23×Dic83C2311yescharacteristic
80C23×Dic83C2311yescharacteristic
81C23×Dic83C2311yescharacteristic
82C23×Dic83C2311yescharacteristic
83C23×Dic83C2311yescharacteristic
84C23×Dic83C2311yescharacteristic
85#14581791—232no—
86C4×Dic166—232no—
87C2×C4⋊Dic83—24no—
88C2×C4⋊Dic83—24no—
89C2×C4⋊Dic83—24no—
90C2×C4⋊Dic83—24no—
91C2×C4⋊Dic83C2314yes—
92C2×C4⋊Dic83C2314yes—
93C2×C4⋊Dic83C2314yes—
94C2×C4⋊Dic83C2314yes—
95C2×Dic83⋊C4—24no—
96C2×Dic83⋊C4—24no—
97C2×Dic83⋊C4—24no—
98C2×Dic83⋊C4—24no—
99C2×Dic83⋊C4—24no—
100C2×Dic83⋊C4—24no—
101C2×Dic83⋊C4C2314yes—
102C2×Dic83⋊C4C2314yes—
103C2×Dic83⋊C4C2314yes—
104C2×Dic83⋊C4C2314yes—
105C2×Dic83⋊C4C2314yes—
106C2×Dic83⋊C4C2314yes—
107C2×C4×Dic83—24no—
108C2×C4×Dic83—24no—
109C2×C4×Dic83—24no—
110C2×C4×Dic83—24no—
111C2×C4×Dic83C2314yes—
112C2×C4×Dic83C2314yes—
113C2×C4×Dic83C2314yes—
114C2×C4×Dic83C2314yes—
115C83⋊#95C2314yes—
116C83⋊#95C2314yes—
117C83⋊#95C2314yes—
118C83⋊#95C2314yes—
119C83⋊#95C2314yes—
120C83⋊#95C2314yes—
121C83⋊#95C2314yes—
122C83⋊#95C2314yes—
123C83⋊#95C2314yes—
124C83⋊#95C2314yes—
125C83⋊#95C2314yes—
126C83⋊#95C2314yes—
127C23×C4×C83C2311yescharacteristic
128C23×C4×C83C2311yescharacteristic
129C23×C4×C83C2311yescharacteristic
130C23×C4×C83C2311yescharacteristic
131C23×C4×C83C2311yescharacteristic
132C23×C4×C83C2311yescharacteristic
133C23×C4×C83C2311yescharacteristic
134C2×C4⋊C4×C83—24no—
135C2×C4⋊C4×C83Q818yescomplemented
136C2×C4⋊C4×C83C2314yes—
137C2×C4⋊C4×C83C2314yes—
138C2×C42×C83—24no—
139C2×C42×C83C2314yes—
140#95×C83C2314yes—
141#95×C83C2314yes—
142#95×C83C2314yes—
143#95×C83C2314yes—
144C2×Dic166—232no—
145C2×Dic166—28no—
146C2×Dic166—28no—
147C2×Dic166—28no—
148C2×Dic166—28no—
149C2×Dic166—28no—
150C2×Dic166—416no—
151C2×Dic166C2×D4116yes—
152C22×Dic83—22no—
153C22×Dic83—22no—
154C22×Dic83—22no—
155C22×Dic83—22no—
156C22×Dic83—22no—
157C22×Dic83—22no—
158C22×Dic83—22no—
159C22×Dic83—22no—
160C22×Dic83—22no—
161C22×Dic83—22no—
162C22×Dic83—22no—
163C22×Dic83—22no—
164C22×Dic83—22no—
165C22×Dic83—22no—
166C22×Dic83—22no—
167C22×Dic83—22no—
168C22×Dic83—22no—
169C22×Dic83—22no—
170C22×Dic83—22no—
171C22×Dic83C2×D414yes—
172C22×Dic83C2×D414yes—
173C22×Dic83#4114yes—
174C22×Dic83#4114yes—
175C22×Dic83#4114yes—
176C22×Dic83C2412yes—
177C22×Dic83C2412yes—
178C22×Dic83C2412yes—
179C22×Dic83C2412yes—
180C22×Dic83C2412yes—
181C22×Dic83C2412yes—
182C22×Dic83C2412yes—
183C22×Dic83C2412yes—
184C4⋊Dic83—28no—
185C4⋊Dic83—28no—
186C4⋊Dic83—28no—
187C4⋊Dic83—28no—
188Dic83⋊C4—28no—
189Dic83⋊C4—28no—
190Dic83⋊C4—28no—
191Dic83⋊C4—28no—
192Dic83⋊C4—28no—
193Dic83⋊C4—28no—
194C4×Dic83—28no—
195C4×Dic83—28no—
196C4×Dic83—28no—
197C4×Dic83—28no—
198C24×C83C2411yescharacteristic
199C22×C4×C83—22no—
200C22×C4×C83—22no—
201C22×C4×C83—22no—
202C22×C4×C83—22no—
203C22×C4×C83—22no—
204C22×C4×C83—22no—
205C22×C4×C83—22no—
206C22×C4×C83—22no—
207C22×C4×C83—22no—
208C22×C4×C83—22no—
209C22×C4×C83—22no—
210C22×C4×C83—22no—
211C22×C4×C83—22no—
212C22×C4×C83—22no—
213C22×C4×C83—22no—
214C22×C4×C83—22no—
215C22×C4×C83—22no—
216C22×C4×C83C2×D414yes—
217C22×C4×C83C2×Q814yes—
218C22×C4×C83C2×Q814yes—
219C22×C4×C83C2×Q814yes—
220C22×C4×C83C2412yes—
221C22×C4×C83C2412yes—
222C22×C4×C83C2412yes—
223C22×C4×C83C2412yes—
224C22×C4×C83C2412yes—
225C22×C4×C83C2412yes—
226C22×C4×C83C2412yes—
227C4⋊C4×C83—28no—
228C4⋊C4×C83C2×Q8116yescomplemented
229C42×C83—28no—
230C23×C83C22×D412yes—
231C23×C83C22×Q812yes—
232C23×C83C2×#4112yes—
233C23×C83C2×#4112yes—
234C23×C83C2×#4112yes—
235C23×C832−1+412yes—
236C23×C832−1+412yes—
237C23×C83C2511yescharacteristic
238C2×C4×C83—28no—
239C2×C4×C83—28no—
240C2×C4×C83—28no—
241C2×C4×C83—28no—
242C2×C4×C83—22no—
243C2×C4×C83—22no—
244C2×C4×C83—22no—
245C2×C4×C83—22no—
246C2×C4×C83—22no—
247C2×C4×C83—22no—
248C2×C4×C83—22no—
249C2×C4×C83—22no—
250C2×C4×C83—22no—
251C2×C4×C83—22no—
252C2×C4×C83—22no—
253C2×C4×C83—22no—
254C2×C4×C83—22no—
255C2×C4×C83—22no—
256C2×C4×C83—22no—
257C2×C4×C83—22no—
258C2×C4×C83—22no—
259C2×C4×C83—44no—
260C2×C4×C83—44no—
261C2×C4×C83—44no—
262C2×C4×C83C22×D414yes—
263C2×C4×C83C22×Q814yes—
264C2×C4×C83C22×Q814yes—
265C2×C4×C83C22×Q814yes—
266C2×Dic83—28no—
267C2×Dic83—28no—
268C2×Dic83—22no—
269C2×Dic83—22no—
270C2×Dic83—22no—
271C2×Dic83—22no—
272C2×Dic83—22no—
273C2×Dic83—22no—
274C2×Dic83—22no—
275C2×Dic83—22no—
276C2×Dic83—22no—
277C2×Dic83—22no—
278C2×Dic83—22no—
279C2×Dic83—22no—
280C2×Dic83—22no—
281C2×Dic83—22no—
282C2×Dic83—22no—
283C2×Dic83—22no—
284C2×Dic83—22no—
285C2×Dic83—22no—
286C2×Dic83—22no—
287C2×Dic83—44no—
288C2×Dic83—44no—
289C2×Dic83—44no—
290C2×Dic83—44no—
291C2×Dic83—44no—
292C2×Dic83#123116yes—
293C2×Dic83C22×D414yes—
294C2×Dic83C22×D414yes—
295C2×Dic83C2×#4114yes—
296C2×Dic83C2×#4114yes—
297C2×Dic83C2×#4114yes—
298Dic166—232no—
299Dic166—416no—
300C22×C83C2×#12314yes—
301C22×C83#53314yes—
302C22×C83#54114yes—
303C22×C83#54814yes—
304C22×C83D4×Q814yes—
305C22×C83#55614yes—
306C22×C83#55714yes—
307C22×C83C23×D411yescharacteristic
308C22×C83C23×Q811yescharacteristic
309C22×C83C22×#4111yescharacteristic
310C22×C83C22×#4111yescharacteristic
311C22×C83C22×#4111yescharacteristic
312C22×C83C2×2−1+411yescharacteristic
313C22×C83C2×2−1+411yescharacteristic
314C4×C83—24no—
315C4×C83—24no—
316C4×C83—24no—
317C4×C83—24no—
318C4×C83—42no—
319C4×C83—42no—
320C4×C83—42no—
321Dic83—24no—
322Dic83—24no—
323Dic83—42no—
324Dic83—42no—
325Dic83—42no—
326Dic83—42no—
327Dic83—42no—
328Dic83C2×#12318yes—
329C2×#2446—831nomaximal, Sylow
330C2×C83#244618yescomplemented
331C2×C83C22×#12311yescharacteristic
332C2×C83C2×#53311yescharacteristic
333C2×C83C2×#54111yescharacteristic
334C2×C83C2×#54811yescharacteristic
335C2×C83C2×D4×Q811yescharacteristic
336C2×C83C2×#55611yescharacteristic
337C2×C83C2×#55711yescharacteristic
338C22×C4⋊Q8—831no—
339C22×C4×Q8—831no—
340#2446—8316no—
341C2×#400—831no—
342C2×#400—831no—
343C2×#398—831no—
344C2×#398—831no—
345C2×#391—831no—
346C2×#391—831no—
347C2×#391—831no—
348C2×#389—831no—
349C2×#387—831no—
350C2×#387—831no—
351C2×#387—831no—
352C2×#387D8311yescharacteristic
353C2×C4×C4⋊C4—831no—
354C83C2×#244611yescharacteristic, complemented, Sylow
355C23×Q8—831no—
356C23×Q8—831no—
357C2×C4⋊Q8—838no—
358C2×C4⋊Q8—1668no—
359C2×C4×Q8—838no—
360C2×C4×Q8—1668no—
361C22×C4⋊C4—831no—
362C22×C4⋊C4—831no—
363C22×C4⋊C4—831no—
364C22×C4⋊C4—831no—
365C22×C4⋊C4—831no—
366C22×C4⋊C4—831no—
367C22×C4⋊C4—831no—
368C22×C4⋊C4—831no—
369C22×C4⋊C4—831no—
370C22×C4⋊C4—831no—
371C22×C4⋊C4C2×D8311yescharacteristic
372C22×C4⋊C4C2×D8311yescharacteristic
373C22×C42—831no—
374C22×C42—831no—
375C22×C42—831no—
376C22×C42—831no—
377C22×C42C2×D8311yescharacteristic
378#400—838no—
379#400—838no—
380#398—838no—
381#398—838no—
382#391—838no—
383#391—838no—
384#391—838no—
385#389—838no—
386#387—838no—
387#387—838no—
388#387—838no—
389#387C2×D8318yes—
390C4×C4⋊C4—838no—
391C2×#95—831no—
392C2×#95—831no—
393C2×#95—831no—
394C2×#95—831no—
395C2×#95—831no—
396C2×#95—831no—
397C2×#95—831no—
398C2×#95—831no—
399C2×#95—831no—
400C2×#95—831no—
401C2×#95—831no—
402C2×#95—831no—
403C2×#95C2×D8311yescharacteristic
404C2×#95C2×D8311yescharacteristic
405C2×#95C2×D8311yescharacteristic
406C2×#95C2×D8311yescharacteristic
407C22×Q8—838no—
408C22×Q8—834no—
409C22×Q8—834no—
410C22×Q8—1664no—
411C22×Q8—1664no—
412C22×Q8—1664no—
413C22×Q8—1664no—
414C22×Q8—1664no—
415C23×C4—831no—
416C23×C4—831no—
417C23×C4—831no—
418C23×C4—831no—
419C23×C4—831no—
420C23×C4—831no—
421C23×C4—831no—
422C23×C4—831no—
423C23×C4C22×D8311yescharacteristic
424C23×C4C22×D8311yescharacteristic
425C23×C4C22×D8311yescharacteristic
426C23×C4C22×D8311yescharacteristic
427C23×C4C22×D8311yescharacteristic
428C23×C4C22×D8311yescharacteristic
429C23×C4C22×D8311yescharacteristic
430C4⋊Q8—16632no—
431C4×Q8—16632no—
432C2×C4⋊C4—24no—
433C2×C4⋊C4—834no—
434C2×C4⋊C4—834no—
435C2×C4⋊C4—834no—
436C2×C4⋊C4—834no—
437C2×C4⋊C4—834no—
438C2×C4⋊C4—834no—
439C2×C4⋊C4—834no—
440C2×C4⋊C4—834no—
441C2×C4⋊C4—834no—
442C2×C4⋊C4—834no—
443C2×C4⋊C4—1664no—
444C2×C4⋊C4—1664no—
445C2×C4⋊C4—1664no—
446C2×C4⋊C4—1664no—
447C2×C4⋊C4—1664no—
448C2×C4⋊C4—1664no—
449C2×C4⋊C4—1664no—
450C2×C4⋊C4—1664no—
451C2×C4⋊C4—1664no—
452C2×C4⋊C4—1664no—
453C2×C4⋊C4Dic16618yescomplemented
454C2×C4⋊C4C22×D8314yes—
455C2×C4⋊C4C22×D8314yes—
456C2×C42—24no—
457C2×C42—834no—
458C2×C42—834no—
459C2×C42—834no—
460C2×C42—834no—
461C2×C42—1664no—
462C2×C42—1664no—
463C2×C42—1664no—
464C2×C42—1664no—
465C2×C42C22×D8314yes—
466#95—834no—
467#95—834no—
468#95—834no—
469#95—834no—
470#95—834no—
471#95—834no—
472#95—834no—
473#95—834no—
474#95—834no—
475#95—834no—
476#95—834no—
477#95—834no—
478#95C22×D8314yes—
479#95C22×D8314yes—
480#95C22×D8314yes—
481#95C22×D8314yes—
482C24C23×D8311yescharacteristic
483C2×Q8—33216no—
484C2×Q8—8316no—
485C2×Q8—1668no—
486C2×Q8—1668no—
487C2×Q8—1668no—
488C2×Q8—16632no—
489C2×Q8—1668no—
490C2×Q8—1668no—
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—22no—
502C22×C4—22no—
503C22×C4—22no—
504C22×C4—22no—
505C22×C4—22no—
506C22×C4—22no—
507C22×C4—22no—
508C22×C4—834no—
509C22×C4—834no—
510C22×C4—834no—
511C22×C4—832no—
512C22×C4—834no—
513C22×C4—834no—
514C22×C4—832no—
515C22×C4—832no—
516C22×C4—832no—
517C22×C4—832no—
518C22×C4—832no—
519C22×C4—832no—
520C22×C4—832no—
521C22×C4—1662no—
522C22×C4—1662no—
523C22×C4—1662no—
524C22×C4—1662no—
525C22×C4—1662no—
526C22×C4—1662no—
527C22×C4—1662no—
528C22×C4—1662no—
529C22×C4—1662no—
530C22×C4—1662no—
531C22×C4—1662no—
532C22×C4—1662no—
533C22×C4—1662no—
534C22×C4—1662no—
535C22×C4—1662no—
536C22×C4—1662no—
537C22×C4—1662no—
538C22×C4—1662no—
539C22×C4—1662no—
540C22×C4D4×D8314yes—
541C22×C4C2×Dic16614yes—
542C22×C4C2×Dic16614yes—
543C22×C4C2×Dic16614yes—
544C22×C4C23×D8312yes—
545C22×C4C23×D8312yes—
546C22×C4C23×D8312yes—
547C22×C4C23×D8312yes—
548C22×C4C23×D8312yes—
549C22×C4C23×D8312yes—
550C22×C4C23×D8312yes—
551C4⋊C4—28no—
552C4⋊C4—1668no—
553C4⋊C4—1668no—
554C4⋊C4—1668no—
555C4⋊C4—1668no—
556C4⋊C4—1668no—
557C4⋊C4—1668no—
558C4⋊C4—1668no—
559C4⋊C4—1668no—
560C4⋊C4—1668no—
561C4⋊C4—1668no—
562C4⋊C4C2×Dic166116yescomplemented
563C42—28no—
564C42—1668no—
565C42—1668no—
566C42—1668no—
567C42—1668no—
568C23C2×D4×D8312yes—
569C23C22×Dic16612yes—
570C23#41×D8312yes—
571C23#41×D8312yes—
572C23#41×D8312yes—
573C23#1458183912yes—
574C23#1458184012yes—
575C23C24×D8311yescharacteristic
576Q8—33216no—
577Q8—16632no—
578C2×C4—28no—
579C2×C4—28no—
580C2×C4—28no—
581C2×C4—28no—
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—22no—
596C2×C4—22no—
597C2×C4—22no—
598C2×C4—22no—
599C2×C4—44no—
600C2×C4—44no—
601C2×C4—44no—
602C2×C4—3324no—
603C2×C4—3324no—
604C2×C4—3324no—
605C2×C4—3324no—
606C2×C4—3324no—
607C2×C4—8316no—
608C2×C4—834no—
609C2×C4—834no—
610C2×C4—834no—
611C2×C4—834no—
612C2×C4—834no—
613C2×C4—1662no—
614C2×C4—1662no—
615C2×C4—1662no—
616C2×C4—1662no—
617C2×C4—1662no—
618C2×C4—1662no—
619C2×C4—1662no—
620C2×C4—1662no—
621C2×C4—1662no—
622C2×C4—1662no—
623C2×C4—1662no—
624C2×C4—1662no—
625C2×C4—1662no—
626C2×C4—1662no—
627C2×C4—1662no—
628C2×C4—1668no—
629C2×C4—1668no—
630C2×C4—1662no—
631C2×C4—1662no—
632C2×C4—1662no—
633C2×C4—1662no—
634C2×C4C2×D4×D8314yes—
635C2×C4C22×Dic16614yes—
636C2×C4C22×Dic16614yes—
637C2×C4C22×Dic16614yes—
638C22#123×D8314yes—
639C22#1912825414yes—
640C22#1912831014yes—
641C22#1912836114yes—
642C22D4×Dic16614yes—
643C22#1912841814yes—
644C22#1912842714yes—
645C22C22×D4×D8311yescharacteristic
646C22C23×Dic16611yescharacteristic
647C22C2×#41×D8311yescharacteristic
648C22C2×#41×D8311yescharacteristic
649C22C2×#41×D8311yescharacteristic
650C22C2×#1458183911yescharacteristic
651C22C2×#1458184011yescharacteristic
652C4—24no—
653C4—24no—
654C4—24no—
655C4—24no—
656C4—42no—
657C4—42no—
658C4—42no—
659C4—3322no—
660C4—3322no—
661C4—3322no—
662C4—3322no—
663C4—3322no—
664C4—838no—
665C4—1664no—
666C4—1664no—
667C2#2491123818yesdirect product factor
668C2C2×#123×D8311yescharacteristic
669C2C2×#1912825411yescharacteristic
670C2C2×#1912831011yescharacteristic
671C2C2×#1912836111yescharacteristic
672C2C2×D4×Dic16611yescharacteristic
673C2C2×#1912841811yescharacteristic
674C2C2×#1912842711yescharacteristic
subgroupG/H
centerC24C23×D83
commutator, cosocleC23×C83C25
FrattiniC23C24×D83
FittingC2×#387×C83C2
socle, prime radicalC24×C83C24
hypercenterC2×#387D83
hypocenterC83C2×#2446
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C24 ◁ C2×#387

Complements

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

NH ≅ G/Ntype
3. #24911238C2direct (N × H)
135. C2×C4⋊C4×C83Q8semidirect
228. C4⋊C4×C83C2×Q8semidirect
330. C2×C83#2446semidirect
354. C83C2×#2446semidirect
453. C2×C4⋊C4Dic166semidirect
562. C4⋊C4C2×Dic166semidirect
667. C2#24911238direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#145817912
C22×C4×Dic1662
#249112382
C2×#191276432
C2×#191276402
C2×#191276352
C2×#191276332
C2×#191276052
C2×#191275982
C2×#191275872
C2×#191275852
C2×#191275842
C2×C4⋊C4×Dic832
C2×#387×C832
C2×#244683