Finite Group Databasebeta

← C2×#24912870 #35574674

Subgroups — C2×#24912870 #35574674

Order 21248.

2182 conjugacy classes of subgroups.

The subgroup lattice has 668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1#24912870C2116yesmaximal, direct product factor
2C2×#19127634C211yesmaximal, characteristic
3C2×#19127622C211yesmaximal, characteristic
4C2×#19127620C211yesmaximal, characteristic
5C2×#19127608C211yesmaximal, characteristic
6C2×#19127606C211yesmaximal, characteristic
7C2×#19127605C211yesmaximal, characteristic
8C2×#19127597C211yesmaximal, characteristic
9C2×#19127596C211yesmaximal, characteristic
10C2×#19127588C211yesmaximal, characteristic
11C2×#19127586C211yesmaximal, characteristic
12C2×#19127584C211yesmaximal, characteristic
13C2×#19127582C211yesmaximal, characteristic
14C2×C4⋊C4×Dic83C211yesmaximal, characteristic
15C2×#19127552C211yesmaximal, characteristic
16C2×#395×C83C211yesmaximal, characteristic
17C23×Dic166C2211yescharacteristic
18C22×C4⋊Dic83C2211yescharacteristic
19C22×C4⋊Dic83C2211yescharacteristic
20C22×C4⋊Dic83C2211yescharacteristic
21C22×Dic83⋊C4C2211yescharacteristic
22C22×Dic83⋊C4C2211yescharacteristic
23C22×Dic83⋊C4C2211yescharacteristic
24C22×Dic83⋊C4C2211yescharacteristic
25C22×Dic83⋊C4C2211yescharacteristic
26C22×Dic83⋊C4C2211yescharacteristic
27C22×C4×Dic83C2211yescharacteristic
28C22×C4×Dic83C2211yescharacteristic
29C22×C4×Dic83C2211yescharacteristic
30C22×C4×Dic83C2211yescharacteristic
31C22×C4×Dic83C2211yescharacteristic
32#19127634C2218yes—
33#19127622C2218yes—
34#19127620C2218yes—
35#19127608C2218yes—
36#19127606C2218yes—
37#19127605C2218yes—
38#19127597C2218yes—
39#19127596C2218yes—
40#19127588C2218yes—
41#19127586C2218yes—
42#19127584C2218yes—
43#19127582C2218yes—
44C4⋊C4×Dic83C2218yes—
45#19127552C2218yes—
46C2×C83⋊#95C2211yescharacteristic
47C2×C83⋊#95C2211yescharacteristic
48C2×C83⋊#95C2211yescharacteristic
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
59C23×Q8×C83C2211yescharacteristic
60C22×C4⋊C4×C83C2211yescharacteristic
61C22×C4⋊C4×C83C2211yescharacteristic
62C22×C4⋊C4×C83C2211yescharacteristic
63#395×C83C2218yes—
64C2×#95×C83C2211yescharacteristic
65C2×#95×C83C2211yescharacteristic
66C2×#95×C83C2211yescharacteristic
67C22×Dic166—24no—
68C22×Dic166—24no—
69C22×Dic166—42no—
70C22×Dic166C2314yes—
71C23×Dic83C2311yescharacteristic
72C23×Dic83C2311yescharacteristic
73C23×Dic83C2311yescharacteristic
74C23×Dic83C2311yescharacteristic
75C23×Dic83C2311yescharacteristic
76C23×Dic83C2311yescharacteristic
77C23×Dic83C2311yescharacteristic
78C23×Dic83C2311yescharacteristic
79C2×C4⋊Dic83—24no—
80C2×C4⋊Dic83—42no—
81C2×C4⋊Dic83Q818yescomplemented
82C2×C4⋊Dic83C2314yes—
83C2×C4⋊Dic83C2314yes—
84C2×C4⋊Dic83C2314yes—
85C2×Dic83⋊C4—24no—
86C2×Dic83⋊C4—24no—
87C2×Dic83⋊C4—42no—
88C2×Dic83⋊C4—42no—
89C2×Dic83⋊C4—42no—
90C2×Dic83⋊C4Q818yescomplemented
91C2×Dic83⋊C4C2314yes—
92C2×Dic83⋊C4C2314yes—
93C2×Dic83⋊C4C2314yes—
94C2×Dic83⋊C4C2314yes—
95C2×Dic83⋊C4C2314yes—
96C2×Dic83⋊C4C2314yes—
97C2×C4×Dic83—24no—
98C2×C4×Dic83—24no—
99C2×C4×Dic83—42no—
100C2×C4×Dic83—42no—
101C2×C4×Dic83—42no—
102C2×C4×Dic83C2314yes—
103C2×C4×Dic83C2314yes—
104C2×C4×Dic83C2314yes—
105C2×C4×Dic83C2314yes—
106C2×C4×Dic83C2314yes—
107C83⋊#95C2314yes—
108C83⋊#95C2314yes—
109C83⋊#95C2314yes—
110C83⋊#95C2314yes—
111C83⋊#95C2314yes—
112C83⋊#95C2314yes—
113C83⋊#95C2314yes—
114C83⋊#95C2314yes—
115C83⋊#95C2314yes—
116C83⋊#95C2314yes—
117C83⋊#95C2314yes—
118C83⋊#95C2314yes—
119C83⋊#95C2314yes—
120C22×Q8×C83—24no—
121C22×Q8×C83—42no—
122C22×Q8×C83—42no—
123C22×Q8×C83C2314yes—
124C23×C4×C83C2311yescharacteristic
125C23×C4×C83C2311yescharacteristic
126C23×C4×C83C2311yescharacteristic
127C23×C4×C83C2311yescharacteristic
128C23×C4×C83C2311yescharacteristic
129C23×C4×C83C2311yescharacteristic
130C23×C4×C83C2311yescharacteristic
131C2×C4⋊C4×C83—24no—
132C2×C4⋊C4×C83—42no—
133C2×C4⋊C4×C83—42no—
134C2×C4⋊C4×C83C2314yes—
135C2×C4⋊C4×C83C2314yes—
136C2×C4⋊C4×C83C2314yes—
137#95×C83C2314yes—
138#95×C83C2314yes—
139#95×C83C2314yes—
140C2×Dic166—28no—
141C2×Dic166—28no—
142C2×Dic166—44no—
143C2×Dic166—416no—
144C22×Dic83—22no—
145C22×Dic83—22no—
146C22×Dic83—22no—
147C22×Dic83—22no—
148C22×Dic83—22no—
149C22×Dic83—22no—
150C22×Dic83—22no—
151C22×Dic83—22no—
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×Dic83C2×Q814yes—
164C22×Dic83C2×Q814yes—
165C22×Dic83C2×Q814yes—
166C22×Dic83C2×Q814yes—
167C22×Dic83#4114yes—
168C22×Dic83C2412yes—
169C22×Dic83C2412yes—
170C22×Dic83C2412yes—
171C22×Dic83C2412yes—
172C22×Dic83C2412yes—
173C22×Dic83C2412yes—
174C22×Dic83C2412yes—
175C22×Dic83C2412yes—
176C4⋊Dic83—28no—
177C4⋊Dic83—44no—
178C4⋊Dic83C2×Q8116yescomplemented
179Dic83⋊C4—28no—
180Dic83⋊C4—28no—
181Dic83⋊C4—44no—
182Dic83⋊C4—44no—
183Dic83⋊C4—44no—
184Dic83⋊C4C2×Q8116yescomplemented
185C4×Dic83—28no—
186C4×Dic83—28no—
187C4×Dic83—44no—
188C4×Dic83—44no—
189C4×Dic83—44no—
190C24×C83C2411yescharacteristic
191C2×Q8×C83—28no—
192C2×Q8×C83—44no—
193C2×Q8×C83—44no—
194C2×Q8×C83—416no—
195C22×C4×C83—22no—
196C22×C4×C83—22no—
197C22×C4×C83—22no—
198C22×C4×C83—22no—
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×C83C2×Q814yes—
213C22×C4×C83C2×Q814yes—
214C22×C4×C83#4114yes—
215C22×C4×C83#4114yes—
216C22×C4×C83C2412yes—
217C22×C4×C83C2412yes—
218C22×C4×C83C2412yes—
219C22×C4×C83C2412yes—
220C22×C4×C83C2412yes—
221C22×C4×C83C2412yes—
222C22×C4×C83C2412yes—
223C4⋊C4×C83—28no—
224C4⋊C4×C83—44no—
225C4⋊C4×C83—44no—
226C23×C83C22×Q812yes—
227C23×C83C22×Q812yes—
228C23×C83C2×#4112yes—
229C23×C83C2×#4112yes—
230C23×C83C2×#4112yes—
231C23×C83H(5,𝔽2)12yes—
232C23×C83H(5,𝔽2)12yes—
233C23×C83C2511yescharacteristic
234Q8×C83—416no—
235C2×C4×C83—28no—
236C2×C4×C83—28no—
237C2×C4×C83—28no—
238C2×C4×C83—28no—
239C2×C4×C83—22no—
240C2×C4×C83—22no—
241C2×C4×C83—22no—
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—44no—
257C2×C4×C83—44no—
258C2×C4×C83—44no—
259C2×C4×C83C22×Q814yes—
260C2×C4×C83C22×Q814yes—
261C2×C4×C83C2×#4114yes—
262C2×C4×C83C2×#4114yes—
263C2×Dic83—28no—
264C2×Dic83—28no—
265C2×Dic83—28no—
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×Dic83C22×Q814yes—
291C2×Dic83C22×Q814yes—
292C2×Dic83C22×Q814yes—
293C2×Dic83C22×Q814yes—
294C2×Dic83C2×#4114yes—
295Dic166—416no—
296C22×C83#53314yes—
297C22×C83#53314yes—
298C22×C83#53814yes—
299C22×C83#55114yes—
300C22×C83#55414yes—
301C22×C83#55414yes—
302C22×C83Q8214yes—
303C22×C83C23×Q811yescharacteristic
304C22×C83C23×Q811yescharacteristic
305C22×C83C22×#4111yescharacteristic
306C22×C83C22×#4111yescharacteristic
307C22×C83C22×#4111yescharacteristic
308C22×C83C2×H(5,𝔽2)11yescharacteristic
309C22×C83C2×H(5,𝔽2)11yescharacteristic
310C4×C83—24no—
311C4×C83—24no—
312C4×C83—24no—
313C4×C83—24no—
314C4×C83—42no—
315C4×C83—42no—
316C4×C83—42no—
317Dic83—24no—
318Dic83—24no—
319Dic83—24no—
320Dic83—24no—
321Dic83—24no—
322Dic83—42no—
323Dic83—42no—
324Dic83—42no—
325C2×#2586—831nomaximal, Sylow
326C2×C83#258618yescomplemented
327C2×C83C2×#53311yescharacteristic
328C2×C83C2×#53311yescharacteristic
329C2×C83C2×#53811yescharacteristic
330C2×C83C2×#55111yescharacteristic
331C2×C83C2×#55411yescharacteristic
332C2×C83C2×#55411yescharacteristic
333C2×C83C2×Q8211yescharacteristic
334#2586—8316no—
335C2×#398—831no—
336C2×#395—831no—
337C2×#395—831no—
338C2×#395D8311yescharacteristic
339C2×#391—831no—
340C2×#391—831no—
341C2×#391—831no—
342C2×#389—831no—
343C2×#389—831no—
344C2×#387—831no—
345C2×#387—831no—
346C2×#387—831no—
347C2×#387—831no—
348C2×C4×C4⋊C4—831no—
349C2×C4×C4⋊C4—831no—
350C83C2×#258611yescharacteristic, complemented, Sylow
351C23×Q8—831no—
352C23×Q8C2×D8311yescharacteristic
353C22×C4⋊C4—831no—
354C22×C4⋊C4—831no—
355C22×C4⋊C4—831no—
356C22×C4⋊C4—831no—
357C22×C4⋊C4—831no—
358C22×C4⋊C4—831no—
359C22×C4⋊C4—831no—
360C22×C4⋊C4—831no—
361C22×C4⋊C4—831no—
362C22×C4⋊C4C2×D8311yescharacteristic
363C22×C4⋊C4C2×D8311yescharacteristic
364C22×C4⋊C4C2×D8311yescharacteristic
365C22×C42—831no—
366C22×C42—831no—
367C22×C42—831no—
368C22×C42—831no—
369C22×C42—831no—
370#398—838no—
371#395—838no—
372#395—838no—
373#395C2×D8318yes—
374#391—838no—
375#391—838no—
376#391—838no—
377#389—838no—
378#389—838no—
379#387—838no—
380#387—838no—
381#387—838no—
382#387—838no—
383C4×C4⋊C4—838no—
384C4×C4⋊C4—838no—
385C2×#95—831no—
386C2×#95—831no—
387C2×#95—831no—
388C2×#95—831no—
389C2×#95—831no—
390C2×#95—831no—
391C2×#95—831no—
392C2×#95—831no—
393C2×#95—831no—
394C2×#95—831no—
395C2×#95—831no—
396C2×#95—831no—
397C2×#95—831no—
398C2×#95C2×D8311yescharacteristic
399C2×#95C2×D8311yescharacteristic
400C2×#95C2×D8311yescharacteristic
401C22×Q8—24no—
402C22×Q8—42no—
403C22×Q8—42no—
404C22×Q8—3322no—
405C22×Q8—834no—
406C22×Q8—1664no—
407C22×Q8—1664no—
408C22×Q8C22×D8314yes—
409C23×C4—831no—
410C23×C4—831no—
411C23×C4—831no—
412C23×C4—831no—
413C23×C4—831no—
414C23×C4—831no—
415C23×C4—831no—
416C23×C4—831no—
417C23×C4C22×D8311yescharacteristic
418C23×C4C22×D8311yescharacteristic
419C23×C4C22×D8311yescharacteristic
420C23×C4C22×D8311yescharacteristic
421C23×C4C22×D8311yescharacteristic
422C23×C4C22×D8311yescharacteristic
423C23×C4C22×D8311yescharacteristic
424C2×C4⋊C4—24no—
425C2×C4⋊C4—42no—
426C2×C4⋊C4—42no—
427C2×C4⋊C4—3322no—
428C2×C4⋊C4—3322no—
429C2×C4⋊C4—3322no—
430C2×C4⋊C4—3322no—
431C2×C4⋊C4—834no—
432C2×C4⋊C4—834no—
433C2×C4⋊C4—834no—
434C2×C4⋊C4—834no—
435C2×C4⋊C4—838no—
436C2×C4⋊C4—838no—
437C2×C4⋊C4—834no—
438C2×C4⋊C4—834no—
439C2×C4⋊C4—834no—
440C2×C4⋊C4—834no—
441C2×C4⋊C4—834no—
442C2×C4⋊C4—1664no—
443C2×C4⋊C4—1664no—
444C2×C4⋊C4—1664no—
445C2×C4⋊C4C22×D8314yes—
446C2×C4⋊C4C22×D8314yes—
447C2×C4⋊C4C22×D8314yes—
448C2×C42—3322no—
449C2×C42—3322no—
450C2×C42—3322no—
451C2×C42—834no—
452C2×C42—834no—
453C2×C42—834no—
454C2×C42—834no—
455C2×C42—834no—
456C2×C42—1664no—
457C2×C42—1664no—
458#95—834no—
459#95—834no—
460#95—834no—
461#95—834no—
462#95—834no—
463#95—834no—
464#95—834no—
465#95—834no—
466#95—834no—
467#95—834no—
468#95—834no—
469#95—834no—
470#95—834no—
471#95C22×D8314yes—
472#95C22×D8314yes—
473#95C22×D8314yes—
474C24C23×D8311yescharacteristic
475C2×Q8—28no—
476C2×Q8—44no—
477C2×Q8—44no—
478C2×Q8—416no—
479C2×Q8—33216no—
480C2×Q8—3324no—
481C2×Q8—1668no—
482C2×Q8—1668no—
483C22×C4—22no—
484C22×C4—22no—
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—834no—
501C22×C4—834no—
502C22×C4—834no—
503C22×C4—834no—
504C22×C4—834no—
505C22×C4—832no—
506C22×C4—832no—
507C22×C4—832no—
508C22×C4—832no—
509C22×C4—832no—
510C22×C4—832no—
511C22×C4—832no—
512C22×C4—832no—
513C22×C4—1662no—
514C22×C4—1662no—
515C22×C4—1662no—
516C22×C4—1662no—
517C22×C4—1662no—
518C22×C4—1662no—
519C22×C4—1662no—
520C22×C4—1662no—
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×C4Q8×D8314yes—
533C22×C4Q8×D8314yes—
534C22×C4#1305058914yes—
535C22×C4#1305059114yes—
536C22×C4C23×D8312yes—
537C22×C4C23×D8312yes—
538C22×C4C23×D8312yes—
539C22×C4C23×D8312yes—
540C22×C4C23×D8312yes—
541C22×C4C23×D8312yes—
542C22×C4C23×D8312yes—
543C4⋊C4—28no—
544C4⋊C4—44no—
545C4⋊C4—44no—
546C4⋊C4—3324no—
547C4⋊C4—3324no—
548C4⋊C4—3324no—
549C4⋊C4—3324no—
550C4⋊C4—8316no—
551C4⋊C4—8316no—
552C4⋊C4—1668no—
553C4⋊C4—1668no—
554C4⋊C4—1668no—
555C42—3324no—
556C42—3324no—
557C42—3324no—
558C42—1668no—
559C42—1668no—
560C23C2×Q8×D8312yes—
561C23C2×Q8×D8312yes—
562C23#41×D8312yes—
563C23C2×#1305058912yes—
564C23C2×#1305059112yes—
565C23#1458183712yes—
566C23#1458183712yes—
567C23C24×D8311yescharacteristic
568Q8—416no—
569Q8—33216no—
570C2×C4—28no—
571C2×C4—28no—
572C2×C4—28no—
573C2×C4—22no—
574C2×C4—22no—
575C2×C4—22no—
576C2×C4—22no—
577C2×C4—22no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—22no—
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—44no—
592C2×C4—44no—
593C2×C4—44no—
594C2×C4—3324no—
595C2×C4—3324no—
596C2×C4—3324no—
597C2×C4—834no—
598C2×C4—834no—
599C2×C4—834no—
600C2×C4—834no—
601C2×C4—834no—
602C2×C4—1662no—
603C2×C4—1662no—
604C2×C4—1662no—
605C2×C4—1662no—
606C2×C4—1662no—
607C2×C4—1662no—
608C2×C4—1662no—
609C2×C4—1662no—
610C2×C4—1662no—
611C2×C4—1668no—
612C2×C4—1668no—
613C2×C4—1668no—
614C2×C4—1668no—
615C2×C4—1668no—
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×C4C2×Q8×D8314yes—
627C2×C4C2×Q8×D8314yes—
628C2×C4C2×#1305058914yes—
629C2×C4C2×#1305059114yes—
630C22#1912825314yes—
631C22#1912825614yes—
632C22#1912828614yes—
633C22#1912837814yes—
634C22#1912840514yes—
635C22#1912841214yes—
636C22#1912843114yes—
637C22C22×Q8×D8311yescharacteristic
638C22C22×Q8×D8311yescharacteristic
639C22C2×#41×D8311yescharacteristic
640C22C22×#1305058911yescharacteristic
641C22C22×#1305059111yescharacteristic
642C22C2×#1458183711yescharacteristic
643C22C2×#1458183711yescharacteristic
644C4—24no—
645C4—24no—
646C4—24no—
647C4—24no—
648C4—42no—
649C4—42no—
650C4—42no—
651C4—3322no—
652C4—3322no—
653C4—3322no—
654C4—1664no—
655C4—1664no—
656C4—1664no—
657C4—1664no—
658C4—1664no—
659C2#2491287018yesdirect product factor
660C2C2×#1912825311yescharacteristic
661C2C2×#1912825611yescharacteristic
662C2C2×#1912828611yescharacteristic
663C2C2×#1912837811yescharacteristic
664C2C2×#1912840511yescharacteristic
665C2C2×#1912841211yescharacteristic
666C2C2×#1912843111yescharacteristic
subgroupG/H
centerC24C23×D83
commutator, cosocleC23×C83C25
FrattiniC23C24×D83
FittingC2×#395×C83C2
socle, prime radicalC24×C83C24
hypercenterC2×#395D83
hypocenterC83C2×#2586
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C24 ◁ C2×#395

Complements

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

NH ≅ G/Ntype
1. #24912870C2direct (N × H)
81. C2×C4⋊Dic83Q8semidirect
90. C2×Dic83⋊C4Q8semidirect
178. C4⋊Dic83C2×Q8semidirect
184. Dic83⋊C4C2×Q8semidirect
326. C2×C83#2586semidirect
350. C83C2×#2586semidirect
659. C2#24912870direct (N × H)

Maximal subgroups

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

subgroupindex
#249128702
C2×#191276342
C2×#191276222
C2×#191276202
C2×#191276082
C2×#191276062
C2×#191276052
C2×#191275972
C2×#191275962
C2×#191275882
C2×#191275862
C2×#191275842
C2×#191275822
C2×C4⋊C4×Dic832
C2×#191275522
C2×#395×C832
C2×#258683