Finite Group Databasebeta

← C2×#23768765 #34459596

Subgroups — C2×#23768765 #34459596

Order 20224.

2614 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×C4×Dic158C211yesmaximal, characteristic
2C22×#14579126C211yesmaximal, characteristic
3#23768765C2116yesmaximal, direct product factor
4C2×#19098505C211yesmaximal, characteristic
5C2×#19098504C211yesmaximal, characteristic
6C2×#19098484C211yesmaximal, characteristic
7C2×#19098483C211yesmaximal, characteristic
8C2×#19098467C211yesmaximal, characteristic
9C2×#19098467C211yesmaximal, characteristic
10C2×#19098460C211yesmaximal, characteristic
11C2×#19098458C211yesmaximal, characteristic
12C2×#19098448C211yesmaximal, characteristic
13C2×#19098447C211yesmaximal, characteristic
14C2×#19098444C211yesmaximal, characteristic
15C2×#19098427C211yesmaximal, characteristic
16C2×#387×C79C211yesmaximal, characteristic
17C23×Dic158C2211yescharacteristic
18C23×Dic158C2211yescharacteristic
19C2×C4×Dic158—28no—
20C2×C4×Dic158C2218yes—
21C2×#14579126—28no—
22C2×#14579126C2218yes—
23C22×C4⋊Dic79C2211yescharacteristic
24C22×C4⋊Dic79C2211yescharacteristic
25C22×Dic79⋊C4C2211yescharacteristic
26C22×Dic79⋊C4C2211yescharacteristic
27C22×Dic79⋊C4C2211yescharacteristic
28C22×Dic79⋊C4C2211yescharacteristic
29C22×Dic79⋊C4C2211yescharacteristic
30C22×Dic79⋊C4C2211yescharacteristic
31C22×Dic79⋊C4C2211yescharacteristic
32C22×Dic79⋊C4C2211yescharacteristic
33C22×C4×Dic79C2211yescharacteristic
34C22×C4×Dic79C2211yescharacteristic
35C22×C4×Dic79C2211yescharacteristic
36C22×C4×Dic79C2211yescharacteristic
37#19098505C2218yes—
38#19098504C2218yes—
39#19098484C2218yes—
40#19098483C2218yes—
41#19098467C2218yes—
42#19098467C2218yes—
43#19098460C2218yes—
44#19098458C2218yes—
45#19098448C2218yes—
46#19098447C2218yes—
47#19098444C2218yes—
48#19098427C2218yes—
49C2×C79⋊#95C2211yescharacteristic
50C2×C79⋊#95C2211yescharacteristic
51C2×C79⋊#95C2211yescharacteristic
52C2×C79⋊#95C2211yescharacteristic
53C2×C79⋊#95C2211yescharacteristic
54C2×C79⋊#95C2211yescharacteristic
55C2×C79⋊#95C2211yescharacteristic
56C2×C79⋊#95C2211yescharacteristic
57C2×C79⋊#95C2211yescharacteristic
58C2×C79⋊#95C2211yescharacteristic
59C2×C79⋊#95C2211yescharacteristic
60C2×C79⋊#95C2211yescharacteristic
61C22×C4⋊C4×C79C2211yescharacteristic
62C22×C4⋊C4×C79C2211yescharacteristic
63C22×C42×C79C2211yescharacteristic
64#387×C79C2218yes—
65C2×#95×C79C2211yescharacteristic
66C2×#95×C79C2211yescharacteristic
67C2×#95×C79C2211yescharacteristic
68C2×#95×C79C2211yescharacteristic
69C22×Dic158—24no—
70C22×Dic158—24no—
71C22×Dic158—24no—
72C22×Dic158—24no—
73C22×Dic158—24no—
74C22×Dic158Q818yescomplemented
75C22×Dic158C2314yes—
76C22×Dic158C2314yes—
77C23×Dic79C2311yescharacteristic
78C23×Dic79C2311yescharacteristic
79C23×Dic79C2311yescharacteristic
80C23×Dic79C2311yescharacteristic
81C23×Dic79C2311yescharacteristic
82C23×Dic79C2311yescharacteristic
83C23×Dic79C2311yescharacteristic
84C23×Dic79C2311yescharacteristic
85C4×Dic158—232no—
86#14579126—232no—
87C2×C4⋊Dic79—24no—
88C2×C4⋊Dic79—24no—
89C2×C4⋊Dic79C2314yes—
90C2×C4⋊Dic79C2314yes—
91C2×Dic79⋊C4—24no—
92C2×Dic79⋊C4—24no—
93C2×Dic79⋊C4—24no—
94C2×Dic79⋊C4—24no—
95C2×Dic79⋊C4—24no—
96C2×Dic79⋊C4—24no—
97C2×Dic79⋊C4—24no—
98C2×Dic79⋊C4—24no—
99C2×Dic79⋊C4C2314yes—
100C2×Dic79⋊C4C2314yes—
101C2×Dic79⋊C4C2314yes—
102C2×Dic79⋊C4C2314yes—
103C2×Dic79⋊C4C2314yes—
104C2×Dic79⋊C4C2314yes—
105C2×Dic79⋊C4C2314yes—
106C2×Dic79⋊C4C2314yes—
107C2×C4×Dic79—24no—
108C2×C4×Dic79—24no—
109C2×C4×Dic79—24no—
110C2×C4×Dic79D418yes—
111C2×C4×Dic79C2314yes—
112C2×C4×Dic79C2314yes—
113C2×C4×Dic79C2314yes—
114C2×C4×Dic79C2314yes—
115C79⋊#95C2314yes—
116C79⋊#95C2314yes—
117C79⋊#95C2314yes—
118C79⋊#95C2314yes—
119C79⋊#95C2314yes—
120C79⋊#95C2314yes—
121C79⋊#95C2314yes—
122C79⋊#95C2314yes—
123C79⋊#95C2314yes—
124C79⋊#95C2314yes—
125C79⋊#95C2314yes—
126C79⋊#95C2314yes—
127C23×C4×C79C2311yescharacteristic
128C23×C4×C79C2311yescharacteristic
129C23×C4×C79C2311yescharacteristic
130C23×C4×C79C2311yescharacteristic
131C23×C4×C79C2311yescharacteristic
132C23×C4×C79C2311yescharacteristic
133C23×C4×C79C2311yescharacteristic
134C2×C4⋊C4×C79—24no—
135C2×C4⋊C4×C79—24no—
136C2×C4⋊C4×C79C2314yes—
137C2×C4⋊C4×C79C2314yes—
138C2×C42×C79—24no—
139C2×C42×C79C2314yes—
140#95×C79C2314yes—
141#95×C79C2314yes—
142#95×C79C2314yes—
143#95×C79C2314yes—
144C2×Dic158—232no—
145C2×Dic158—232no—
146C2×Dic158—28no—
147C2×Dic158—28no—
148C2×Dic158—28no—
149C2×Dic158—28no—
150C2×Dic158—28no—
151C2×Dic158C2×Q8116yescomplemented
152C22×Dic79—22no—
153C22×Dic79—22no—
154C22×Dic79—22no—
155C22×Dic79—22no—
156C22×Dic79—22no—
157C22×Dic79—22no—
158C22×Dic79—22no—
159C22×Dic79—22no—
160C22×Dic79—22no—
161C22×Dic79—22no—
162C22×Dic79—22no—
163C22×Dic79—22no—
164C22×Dic79—22no—
165C22×Dic79—22no—
166C22×Dic79—22no—
167C22×Dic79—22no—
168C22×Dic79—22no—
169C22×Dic79—22no—
170C22×Dic79C2×D414yes—
171C22×Dic79C2×D414yes—
172C22×Dic79C2×Q814yes—
173C22×Dic79C2×Q814yes—
174C22×Dic79#4114yes—
175C22×Dic79#4114yes—
176C22×Dic79C2412yes—
177C22×Dic79C2412yes—
178C22×Dic79C2412yes—
179C22×Dic79C2412yes—
180C22×Dic79C2412yes—
181C22×Dic79C2412yes—
182C22×Dic79C2412yes—
183C22×Dic79C2412yes—
184C4⋊Dic79—28no—
185C4⋊Dic79—28no—
186Dic79⋊C4—28no—
187Dic79⋊C4—28no—
188Dic79⋊C4—28no—
189Dic79⋊C4—28no—
190Dic79⋊C4—28no—
191Dic79⋊C4—28no—
192Dic79⋊C4—28no—
193Dic79⋊C4—28no—
194C4×Dic79—28no—
195C4×Dic79—28no—
196C4×Dic79—28no—
197C4×Dic79C2×D4116yes—
198C24×C79C2411yescharacteristic
199C22×C4×C79—22no—
200C22×C4×C79—22no—
201C22×C4×C79—22no—
202C22×C4×C79—22no—
203C22×C4×C79—22no—
204C22×C4×C79—22no—
205C22×C4×C79—22no—
206C22×C4×C79—22no—
207C22×C4×C79—22no—
208C22×C4×C79—22no—
209C22×C4×C79—22no—
210C22×C4×C79—22no—
211C22×C4×C79—22no—
212C22×C4×C79—22no—
213C22×C4×C79—22no—
214C22×C4×C79—22no—
215C22×C4×C79—22no—
216C22×C4×C79—22no—
217C22×C4×C79C2×D414yes—
218C22×C4×C79C2×Q814yes—
219C22×C4×C79#4114yes—
220C22×C4×C79C2412yes—
221C22×C4×C79C2412yes—
222C22×C4×C79C2412yes—
223C22×C4×C79C2412yes—
224C22×C4×C79C2412yes—
225C22×C4×C79C2412yes—
226C22×C4×C79C2412yes—
227C4⋊C4×C79—28no—
228C4⋊C4×C79—28no—
229C42×C79—28no—
230C23×C79C22×D412yes—
231C23×C79C22×Q812yes—
232C23×C79C2×#4112yes—
233C23×C79C2×#4112yes—
234C23×C79C2×#4112yes—
235C23×C792−1+412yes—
236C23×C792−1+412yes—
237C23×C79C2511yescharacteristic
238C2×C4×C79—28no—
239C2×C4×C79—28no—
240C2×C4×C79—28no—
241C2×C4×C79—22no—
242C2×C4×C79—22no—
243C2×C4×C79—22no—
244C2×C4×C79—22no—
245C2×C4×C79—22no—
246C2×C4×C79—22no—
247C2×C4×C79—22no—
248C2×C4×C79—22no—
249C2×C4×C79—22no—
250C2×C4×C79—22no—
251C2×C4×C79—22no—
252C2×C4×C79—22no—
253C2×C4×C79—22no—
254C2×C4×C79—22no—
255C2×C4×C79—22no—
256C2×C4×C79—22no—
257C2×C4×C79—22no—
258C2×C4×C79—22no—
259C2×C4×C79—44no—
260C2×C4×C79—44no—
261C2×C4×C79—44no—
262C2×C4×C79—44no—
263C2×C4×C79C22×D414yes—
264C2×C4×C79C22×Q814yes—
265C2×C4×C79C2×#4114yes—
266C2×Dic79—28no—
267C2×Dic79—28no—
268C2×Dic79—28no—
269C2×Dic79—22no—
270C2×Dic79—22no—
271C2×Dic79—22no—
272C2×Dic79—22no—
273C2×Dic79—22no—
274C2×Dic79—22no—
275C2×Dic79—22no—
276C2×Dic79—22no—
277C2×Dic79—22no—
278C2×Dic79—22no—
279C2×Dic79—22no—
280C2×Dic79—22no—
281C2×Dic79—22no—
282C2×Dic79—22no—
283C2×Dic79—22no—
284C2×Dic79—22no—
285C2×Dic79—22no—
286C2×Dic79—22no—
287C2×Dic79—44no—
288C2×Dic79—44no—
289C2×Dic79—44no—
290C2×Dic79—44no—
291C2×Dic79C22⋊Q8116yes—
292C2×Dic79C22×D414yes—
293C2×Dic79C22×D414yes—
294C2×Dic79C22×Q814yes—
295C2×Dic79C22×Q814yes—
296C2×Dic79C2×#4114yes—
297C2×Dic79C2×#4114yes—
298Dic158—232no—
299Dic158—232no—
300C22×C79C2×C22⋊Q814yes—
301C22×C79#52514yes—
302C22×C79#53614yes—
303C22×C79#55614yes—
304C22×C79#55614yes—
305C22×C79#55714yes—
306C22×C79#55714yes—
307C22×C79C23×D411yescharacteristic
308C22×C79C23×Q811yescharacteristic
309C22×C79C22×#4111yescharacteristic
310C22×C79C22×#4111yescharacteristic
311C22×C79C22×#4111yescharacteristic
312C22×C79C2×2−1+411yescharacteristic
313C22×C79C2×2−1+411yescharacteristic
314C4×C79—24no—
315C4×C79—24no—
316C4×C79—24no—
317C4×C79—42no—
318C4×C79—42no—
319C4×C79—42no—
320C4×C79—42no—
321Dic79—24no—
322Dic79—24no—
323Dic79—24no—
324Dic79—42no—
325Dic79—42no—
326Dic79—42no—
327Dic79—42no—
328Dic79C2×C22⋊Q818yes—
329C2×#2581—791nomaximal, Sylow
330C2×C79#258118yescomplemented
331C2×C79C22×C22⋊Q811yescharacteristic
332C2×C79C2×#52511yescharacteristic
333C2×C79C2×#53611yescharacteristic
334C2×C79C2×#55611yescharacteristic
335C2×C79C2×#55611yescharacteristic
336C2×C79C2×#55711yescharacteristic
337C2×C79C2×#55711yescharacteristic
338C22×C4×Q8—791no—
339C22×C4×Q8—791no—
340#2581—7916no—
341C2×#400—791no—
342C2×#400—791no—
343C2×#395—791no—
344C2×#395—791no—
345C2×#391—791no—
346C2×#391—791no—
347C2×#389—791no—
348C2×#389—791no—
349C2×#387—791no—
350C2×#387—791no—
351C2×#387—791no—
352C2×#387D7911yescharacteristic
353C2×#382—791no—
354C79C2×#258111yescharacteristic, complemented, Sylow
355C23×Q8—791no—
356C23×Q8—791no—
357C2×C4×Q8—798no—
358C2×C4×Q8—798no—
359C2×C4×Q8—1588no—
360C2×C4×Q8—1588no—
361C22×C4⋊C4—791no—
362C22×C4⋊C4—791no—
363C22×C4⋊C4—791no—
364C22×C4⋊C4—791no—
365C22×C4⋊C4—791no—
366C22×C4⋊C4—791no—
367C22×C4⋊C4—791no—
368C22×C4⋊C4—791no—
369C22×C4⋊C4—791no—
370C22×C4⋊C4—791no—
371C22×C4⋊C4C2×D7911yescharacteristic
372C22×C4⋊C4C2×D7911yescharacteristic
373C22×C42—791no—
374C22×C42—791no—
375C22×C42—791no—
376C22×C42—791no—
377C22×C42C2×D7911yescharacteristic
378#400—798no—
379#400—798no—
380#395—798no—
381#395—798no—
382#391—798no—
383#391—798no—
384#389—798no—
385#389—798no—
386#387—798no—
387#387—798no—
388#387—798no—
389#387C2×D7918yes—
390#382—798no—
391C2×#95—791no—
392C2×#95—791no—
393C2×#95—791no—
394C2×#95—791no—
395C2×#95—791no—
396C2×#95—791no—
397C2×#95—791no—
398C2×#95—791no—
399C2×#95—791no—
400C2×#95—791no—
401C2×#95—791no—
402C2×#95—791no—
403C2×#95C2×D7911yescharacteristic
404C2×#95C2×D7911yescharacteristic
405C2×#95C2×D7911yescharacteristic
406C2×#95C2×D7911yescharacteristic
407C22×Q8—798no—
408C22×Q8—794no—
409C22×Q8—794no—
410C22×Q8—1584no—
411C22×Q8—1584no—
412C22×Q8—1584no—
413C22×Q8—1584no—
414C22×Q8—1584no—
415C23×C4—791no—
416C23×C4—791no—
417C23×C4—791no—
418C23×C4—791no—
419C23×C4—791no—
420C23×C4—791no—
421C23×C4—791no—
422C23×C4—791no—
423C23×C4C22×D7911yescharacteristic
424C23×C4C22×D7911yescharacteristic
425C23×C4C22×D7911yescharacteristic
426C23×C4C22×D7911yescharacteristic
427C23×C4C22×D7911yescharacteristic
428C23×C4C22×D7911yescharacteristic
429C23×C4C22×D7911yescharacteristic
430C4×Q8—15832no—
431C4×Q8—15832no—
432C2×C4⋊C4—24no—
433C2×C4⋊C4—24no—
434C2×C4⋊C4—794no—
435C2×C4⋊C4—794no—
436C2×C4⋊C4—794no—
437C2×C4⋊C4—794no—
438C2×C4⋊C4—794no—
439C2×C4⋊C4—794no—
440C2×C4⋊C4—794no—
441C2×C4⋊C4—794no—
442C2×C4⋊C4—794no—
443C2×C4⋊C4—794no—
444C2×C4⋊C4—1584no—
445C2×C4⋊C4—1584no—
446C2×C4⋊C4—1584no—
447C2×C4⋊C4—1584no—
448C2×C4⋊C4—1584no—
449C2×C4⋊C4—1584no—
450C2×C4⋊C4—1584no—
451C2×C4⋊C4—1584no—
452C2×C4⋊C4—1584no—
453C2×C4⋊C4—1584no—
454C2×C4⋊C4C22×D7914yes—
455C2×C4⋊C4C22×D7914yes—
456C2×C42—24no—
457C2×C42—798no—
458C2×C42—794no—
459C2×C42—794no—
460C2×C42—794no—
461C2×C42—794no—
462C2×C42—1584no—
463C2×C42—1584no—
464C2×C42—1584no—
465C2×C42C22×D7914yes—
466#95—794no—
467#95—794no—
468#95—794no—
469#95—794no—
470#95—794no—
471#95—794no—
472#95—794no—
473#95—794no—
474#95—794no—
475#95—794no—
476#95—794no—
477#95—794no—
478#95C22×D7914yes—
479#95C22×D7914yes—
480#95C22×D7914yes—
481#95C22×D7914yes—
482C24C23×D7911yescharacteristic
483C2×Q8—7916no—
484C2×Q8—1588no—
485C2×Q8—1588no—
486C2×Q8—15832no—
487C2×Q8—1588no—
488C2×Q8—1588no—
489C2×Q8—15832no—
490C2×Q8—1588no—
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—22no—
509C22×C4—794no—
510C22×C4—794no—
511C22×C4—792no—
512C22×C4—794no—
513C22×C4—794no—
514C22×C4—794no—
515C22×C4—792no—
516C22×C4—792no—
517C22×C4—792no—
518C22×C4—794no—
519C22×C4—792no—
520C22×C4—792no—
521C22×C4—792no—
522C22×C4—792no—
523C22×C4—1582no—
524C22×C4—1582no—
525C22×C4—1582no—
526C22×C4—1582no—
527C22×C4—1582no—
528C22×C4—1582no—
529C22×C4—1582no—
530C22×C4—1582no—
531C22×C4—1582no—
532C22×C4—1582no—
533C22×C4—1582no—
534C22×C4—1582no—
535C22×C4—1582no—
536C22×C4—1582no—
537C22×C4—1582no—
538C22×C4—1582no—
539C22×C4—1582no—
540C22×C4—1582no—
541C22×C4D4×D7914yes—
542C22×C4Q8×D7914yes—
543C22×C4#1192962414yes—
544C22×C4C23×D7912yes—
545C22×C4C23×D7912yes—
546C22×C4C23×D7912yes—
547C22×C4C23×D7912yes—
548C22×C4C23×D7912yes—
549C22×C4C23×D7912yes—
550C22×C4C23×D7912yes—
551C4⋊C4—28no—
552C4⋊C4—28no—
553C4⋊C4—1588no—
554C4⋊C4—1588no—
555C4⋊C4—1588no—
556C4⋊C4—1588no—
557C4⋊C4—1588no—
558C4⋊C4—1588no—
559C4⋊C4—1588no—
560C4⋊C4—1588no—
561C4⋊C4—1588no—
562C4⋊C4—1588no—
563C42—28no—
564C42—7916no—
565C42—1588no—
566C42—1588no—
567C42—1588no—
568C23C2×D4×D7912yes—
569C23C2×Q8×D7912yes—
570C23#41×D7912yes—
571C23#41×D7912yes—
572C23C2×#1192962412yes—
573C23#1457920812yes—
574C23#1457920812yes—
575C23C24×D7911yescharacteristic
576Q8—15832no—
577Q8—15832no—
578C2×C4—22no—
579C2×C4—22no—
580C2×C4—28no—
581C2×C4—28no—
582C2×C4—22no—
583C2×C4—22no—
584C2×C4—22no—
585C2×C4—22no—
586C2×C4—28no—
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—44no—
603C2×C4—3164no—
604C2×C4—3164no—
605C2×C4—3164no—
606C2×C4—3164no—
607C2×C4—7916no—
608C2×C4—794no—
609C2×C4—794no—
610C2×C4—794no—
611C2×C4—794no—
612C2×C4—794no—
613C2×C4—794no—
614C2×C4—1582no—
615C2×C4—1582no—
616C2×C4—1582no—
617C2×C4—1582no—
618C2×C4—1582no—
619C2×C4—1582no—
620C2×C4—1582no—
621C2×C4—1582no—
622C2×C4—1582no—
623C2×C4—1582no—
624C2×C4—1582no—
625C2×C4—1582no—
626C2×C4—1588no—
627C2×C4—1588no—
628C2×C4—1588no—
629C2×C4—1582no—
630C2×C4—1582no—
631C2×C4—1582no—
632C2×C4—1582no—
633C2×C4—1582no—
634C2×C4—1582no—
635C2×C4C2×D4×D7914yes—
636C2×C4C2×Q8×D7914yes—
637C2×C4C2×#1192962414yes—
638C22C22⋊Q8×D7914yes—
639C22#1909907214yes—
640C22#1909913514yes—
641C22#1909928014yes—
642C22#1909928114yes—
643C22#1909929014yes—
644C22#1909929114yes—
645C22C22×D4×D7911yescharacteristic
646C22C22×Q8×D7911yescharacteristic
647C22C2×#41×D7911yescharacteristic
648C22C2×#41×D7911yescharacteristic
649C22C22×#1192962411yescharacteristic
650C22C2×#1457920811yescharacteristic
651C22C2×#1457920811yescharacteristic
652C4—24no—
653C4—24no—
654C4—24no—
655C4—42no—
656C4—42no—
657C4—42no—
658C4—42no—
659C4—3162no—
660C4—3162no—
661C4—3162no—
662C4—3162no—
663C4—798no—
664C4—1584no—
665C4—1584no—
666C4—1584no—
667C2#2376876518yesdirect product factor
668C2C2×C22⋊Q8×D7911yescharacteristic
669C2C2×#1909907211yescharacteristic
670C2C2×#1909913511yescharacteristic
671C2C2×#1909928011yescharacteristic
672C2C2×#1909928111yescharacteristic
673C2C2×#1909929011yescharacteristic
674C2C2×#1909929111yescharacteristic
subgroupG/H
centerC24C23×D79
commutator, cosocleC23×C79C25
FrattiniC23C24×D79
FittingC2×#387×C79C2
socle, prime radicalC24×C79C24
hypercenterC2×#387D79
hypocenterC79C2×#2581
LCSG ▷ C23×C79 ▷ C79
UCSC1 ◁ C24 ◁ C2×#387

Complements

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

NH ≅ G/Ntype
3. #23768765C2direct (N × H)
74. C22×Dic158Q8semidirect
151. C2×Dic158C2×Q8semidirect
330. C2×C79#2581semidirect
354. C79C2×#2581semidirect
667. C2#23768765direct (N × H)

Maximal subgroups

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

subgroupindex
C22×C4×Dic1582
C22×#145791262
#237687652
C2×#190985052
C2×#190985042
C2×#190984842
C2×#190984832
C2×#190984672
C2×#190984602
C2×#190984582
C2×#190984482
C2×#190984472
C2×#190984442
C2×#190984272
C2×#387×C792
C2×#258179