Finite Group Databasebeta

← C2×#483×D67 #31723558

Subgroups — C2×#483×D67 #31723558

Order 17152.

2662 conjugacy classes of subgroups.

The subgroup lattice has 634 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×C22⋊Q8×D67C211yesmaximal, characteristic
2C22×C4⋊C4×D67C211yesmaximal, characteristic
3C2×#16863728C212yesmaximal, complemented
4C2×#16863727C211yesmaximal, characteristic, complemented
5C2×#16863726C211yesmaximal, characteristic, complemented
6C2×#16863725C212yesmaximal, complemented
7C2×#16863724C211yesmaximal, characteristic, complemented
8#483×D67C2116yesmaximal, direct product factor
9C2×#106×D67C212yesmaximal, complemented
10C2×#103×D67C212yesmaximal, complemented
11C2×C22⋊C8×D67C211yesmaximal, characteristic
12C2×#483×C67C211yesmaximal, characteristic, complemented
13C22×Q8×D67C2211yescharacteristic
14C23×C4×D67—21no—
15C23×C4×D67C2211yescharacteristic
16C22×C8×D67C2212yes—
17C2×#14524023C2211yescharacteristic
18C2×#14524022C2211yescharacteristic
19C2×#14524021—21no—
20C2×#14524020—21no—
21C2×#14524019C2211yescharacteristic
22C22⋊Q8×D67—24no—
23C22⋊Q8×D67C2218yes—
24C22×C4⋊Dic67C2211yescharacteristic
25C22×Dic67⋊C4—21no—
26C2×C4⋊C4×D67—21no—
27C2×C4⋊C4×D67—24no—
28C2×C4⋊C4×D67—21no—
29C2×C4⋊C4×D67—21no—
30C2×C4⋊C4×D67C2212yes—
31C2×C4⋊C4×D67C2218yes—
32C2×C4⋊C4×D67C2212yes—
33C2×C4⋊C4×D67C2211yescharacteristic
34C2×C22⋊C4×D67—21no—
35#16863728C22116yescomplemented
36#16863727C2218yescomplemented
37#16863726C2218yescomplemented
38#16863725C22116yescomplemented
39#16863724C2218yescomplemented
40C2×#14523975C2212yescomplemented
41C2×#14523974C2212yescomplemented
42C2×#14523974C2212yescomplemented
43#106×D67C22116yescomplemented
44C2×#14523968C2212yescomplemented
45C2×#14523967C2212yescomplemented
46C2×#14523966C2212yescomplemented
47#103×D67C22116yescomplemented
48C2×C22⋊(C67⋊C8)C2211yescharacteristic
49C2×(C2×D67)⋊C8C2212yes—
50C22⋊C8×D67C2218yes—
51C2×C22⋊Q8×C67C2211yescharacteristic
52C22×C4⋊C4×C67C2211yescharacteristic
53#483×C67C2218yescomplemented
54C2×#106×C67C2212yescomplemented
55C2×#103×C67C2212yescomplemented
56C2×C22⋊C8×C67C2211yescharacteristic
57C24×D67D411yescharacteristic
58C22×Dic134—21no—
59C22×Dic134C2311yescharacteristic
60C2×Q8×D67—22no—
61C2×Q8×D67—28no—
62C2×Q8×D67C2314yes—
63C23×Dic67—21no—
64C23×Dic67D411yescharacteristic
65C22×C4×D67—28no—
66C22×C4×D67—21no—
67C22×C4×D67—21no—
68C22×C4×D67—28no—
69C22×C4×D67—22no—
70C22×C4×D67—22no—
71C22×C4×D67—48no—
72C22×C4×D67D411yescharacteristic
73C22×C4×D67D414yes—
74C22×C4×D67D411yescharacteristic
75C22×C4×D67C2314yes—
76C22×C4×D67C2311yescharacteristic
77C22×C4×D67C2311yescharacteristic
78C22×C67⋊C8C2312yes—
79C2×C8×D67—28no—
80C2×C8×D67C2318yes—
81#14524023—22no—
82#14524023C2314yes—
83#14524022—22no—
84#14524022C2314yes—
85#14524021—28no—
86#14524020—28no—
87#14524019—22no—
88#14524019C2314yes—
89C2×C4⋊Dic67—21no—
90C2×C4⋊Dic67—21no—
91C2×C4⋊Dic67—22no—
92C2×C4⋊Dic67C2312yes—
93C2×C4⋊Dic67C2314yes—
94C2×C4⋊Dic67C2311yescharacteristic
95C2×Dic67⋊C4—22no—
96C2×Dic67⋊C4—28no—
97C2×Dic67⋊C4—22no—
98C2×Dic67⋊C4—21no—
99C2×Dic67⋊C4—21no—
100C2×Dic67⋊C4—21no—
101C4⋊C4×D67—28no—
102C4⋊C4×D67—24no—
103C4⋊C4×D67—28no—
104C4⋊C4×D67—24no—
105C4⋊C4×D67—28no—
106C4⋊C4×D67—22no—
107C4⋊C4×D67C2318yes—
108C4⋊C4×D67C2318yes—
109C4⋊C4×D67C2314yes—
110C2×C22⋊Dic67—21no—
111C2×(C2×D67)⋊C4—21no—
112C2×(C2×D67)⋊C4—21no—
113C22⋊C4×D67—28no—
114#14523975C2318yescomplemented
115#14523974C2318yescomplemented
116#14523974C2318yescomplemented
117#14523968C2318yescomplemented
118#14523967C2318yescomplemented
119#14523966C2318yescomplemented
120C22⋊(C67⋊C8)C2314yes—
121(C2×D67)⋊C8C2318yes—
122C22×Q8×C67C2311yescharacteristic
123C23×C4×C67—21no—
124C23×C4×C67C2311yescharacteristic
125C22×C8×C67C2312yes—
126C22⋊Q8×C67—22no—
127C22⋊Q8×C67C2314yes—
128C2×C4⋊C4×C67—21no—
129C2×C4⋊C4×C67—22no—
130C2×C4⋊C4×C67—21no—
131C2×C4⋊C4×C67C2314yes—
132C2×C4⋊C4×C67C2312yes—
133C2×C4⋊C4×C67C2311yescharacteristic
134C2×C22⋊C4×C67—21no—
135#106×C67C2318yescomplemented
136#103×C67C2318yescomplemented
137C22⋊C8×C67C2314yes—
138C23×D67—24no—
139C23×D67—24no—
140C23×D67SD1618yes—
141C23×D67C2×D414yes—
142C23×D67C2×D411yescharacteristic
143C23×D67C2×D411yescharacteristic
144C2×Dic134—24no—
145C2×Dic134—21no—
146C2×Dic134—24no—
147C2×Dic134—44no—
148C2×Dic134C2412yes—
149Q8×D67—216no—
150Q8×D67—48no—
151C22×Dic67—24no—
152C22×Dic67—21no—
153C22×Dic67—21no—
154C22×Dic67—24no—
155C22×Dic67—22no—
156C22×Dic67—44no—
157C22×Dic67C2×D411yescharacteristic
158C22×Dic67C2×D414yes—
159C22×Dic67C2×D411yescharacteristic
160C2×C4×D67—24no—
161C2×C4×D67—24no—
162C2×C4×D67—24no—
163C2×C4×D67—216no—
164C2×C4×D67—216no—
165C2×C4×D67—24no—
166C2×C4×D67—24no—
167C2×C4×D67—28no—
168C2×C4×D67—28no—
169C2×C4×D67—44no—
170C2×C4×D67—48no—
171C2×C4×D67—432no—
172C2×C4×D67—48no—
173C2×C4×D67—44no—
174C2×C4×D67C2×D414yes—
175C2×C4×D67C2×D412yes—
176C2×C4×D67C2×D414yes—
177C2×C4×D67C2×D412yes—
178C2×C4×D67#4118yes—
179C2×C4×D67C2412yes—
180C2×C4×D67C2412yes—
181C2×C67⋊C8—24no—
182C2×C67⋊C8C2414yes—
183C8×D67—216no—
184C4⋊Dic67—24no—
185C4⋊Dic67—22no—
186C4⋊Dic67—21no—
187C4⋊Dic67—24no—
188C4⋊Dic67C2414yes—
189C4⋊Dic67C2412yes—
190Dic67⋊C4—24no—
191Dic67⋊C4—28no—
192Dic67⋊C4—28no—
193Dic67⋊C4—24no—
194Dic67⋊C4—24no—
195C22⋊Dic67—24no—
196(C2×D67)⋊C4—24no—
197(C2×D67)⋊C4—24no—
198C24×C67C2×D411yescharacteristic
199C2×Q8×C67—21no—
200C2×Q8×C67—24no—
201C2×Q8×C67C2412yes—
202C22×C4×C67—24no—
203C22×C4×C67—21no—
204C22×C4×C67—21no—
205C22×C4×C67—24no—
206C22×C4×C67—22no—
207C22×C4×C67—44no—
208C22×C4×C67C2×D411yescharacteristic
209C22×C4×C67C2×D412yes—
210C22×C4×C67C2412yes—
211C22×C4×C67C2411yescharacteristic
212C2×C8×C67—24no—
213C2×C8×C67C2414yes—
214C4⋊C4×C67—24no—
215C4⋊C4×C67—22no—
216C4⋊C4×C67—24no—
217C4⋊C4×C67—21no—
218C4⋊C4×C67C2414yes—
219C4⋊C4×C67C2412yes—
220C22⋊C4×C67—24no—
221C23×C67—22no—
222C23×C67—22no—
223C23×C67C2×SD1614yes—
224C23×C67C22×D412yes—
225C23×C67C22×D411yescharacteristic
226C22×D67—22no—
227C22×D67—22no—
228C22×D67—28no—
229C22×D67—28no—
230C22×D67—232no—
231C22×D67#12314yes—
232C22×D67C2×SD1614yes—
233C22×D67C2×SD16116yes—
234C22×D67C2×SD1614yes—
235C22×D67#13714yes—
236C22×D67C22×D412yes—
237C22×D67C22×D412yes—
238Q8×C67—24no—
239Q8×C67—42no—
240C2×C4×C67—22no—
241C2×C4×C67—24no—
242C2×C4×C67—24no—
243C2×C4×C67—22no—
244C2×C4×C67—22no—
245C2×C4×C67—24no—
246C2×C4×C67—42no—
247C2×C4×C67—48no—
248C2×C4×C67—44no—
249C2×C4×C67—42no—
250C2×C4×C67C22×D412yes—
251C2×C4×C67C22×D411yescharacteristic
252C2×C4×C67C2×#4114yes—
253C2×C4×C67C2511yescharacteristic
254C2×Dic67—22no—
255C2×Dic67—28no—
256C2×Dic67—22no—
257C2×Dic67—22no—
258C2×Dic67—24no—
259C2×Dic67—42no—
260C2×Dic67—48no—
261C2×Dic67—44no—
262C2×Dic67—42no—
263C2×Dic67#12314yes—
264C2×Dic67C22×D412yes—
265C2×Dic67C22×D412yes—
266C4×D67—28no—
267C4×D67—24no—
268C4×D67—24no—
269C4×D67—28no—
270C4×D67—48no—
271C4×D67—416no—
272C4×D67—416no—
273C4×D67—48no—
274C4×D67#12318yes—
275C4×D67C2×#4118yes—
276Dic134—24no—
277Dic134—42no—
278Dic134—48no—
279C8×C67—24no—
280C67⋊C8—24no—
281C22×C67—28no—
282C22×C67—22no—
283C22×C67—22no—
284C22×C67C2×#12312yes—
285C22×C67C22×SD1614yes—
286C22×C67C22×SD1612yes—
287C22×C67C2×#13712yes—
288C22×C67C23×D411yescharacteristic
289C2×D67—28no—
290C2×D67—22no—
291C2×D67—22no—
292C2×D67—232no—
293C2×D67#483116yesdirect product factor
294C2×D67C2×#12314yes—
295C2×D67C22×SD1614yes—
296C2×D67C22×SD1614yes—
297C2×D67C2×#13714yes—
298C4×C67—22no—
299C4×C67—42no—
300C4×C67—44no—
301C4×C67—42no—
302C4×C67C2×#12312yes—
303C4×C67C22×#4112yes—
304Dic67—22no—
305Dic67—42no—
306Dic67—44no—
307Dic67—42no—
308Dic67C2×#12314yes—
309C22×#483—671nomaximal, Sylow
310C2×C67—24no—
311C2×C67C2×#48314yescomplemented
312C2×C67C22×#12311yescharacteristic
313C2×C67C23×SD1611yescharacteristic
314C2×C67C22×#13711yescharacteristic
315D67—24no—
316D67C2×#48318yesdirect product factor
317C22×C22⋊Q8—671no—
318C23×C4⋊C4—671no—
319C2×#483—6716no—
320C2×#483—672no—
321C2×#483—672no—
322C2×#483—671no—
323C2×#483—671no—
324C2×#483—671no—
325C2×#483D6711yescharacteristic, direct product factor
326C22×#106—672no—
327C22×#103—672no—
328C22×C22⋊C8—671no—
329C67C22×#48311yescharacteristic, complemented, Sylow
330C23×Q8—671no—
331C24×C4—671no—
332C24×C4—1341no—
333C23×C8—672no—
334C2×C22⋊Q8—671no—
335C2×C22⋊Q8—671no—
336C2×C22⋊Q8—678no—
337C2×C22⋊Q8—671no—
338C2×C22⋊Q8—1341no—
339C2×C22⋊Q8—1341no—
340C2×C22⋊Q8—1344no—
341C2×C22⋊Q8C2×D6711yescharacteristic
342C22×C4⋊C4—671no—
343C22×C4⋊C4—672no—
344C22×C4⋊C4—678no—
345C22×C4⋊C4—672no—
346C22×C4⋊C4—671no—
347C22×C4⋊C4—1341no—
348C22×C4⋊C4—1344no—
349C22×C4⋊C4—1341no—
350C22×C4⋊C4—1341no—
351C22×C4⋊C4—1341no—
352C22×C4⋊C4C2×D6711yescharacteristic
353C22×C22⋊C4—1341no—
354#483—678no—
355#483—678no—
356#483—6716no—
357#483—6716no—
358#483—678no—
359#483C2×D6718yesdirect product factor
360C2×#106—672no—
361C2×#106—672no—
362C2×#106—672no—
363C2×#106—6716no—
364C2×#106C2×D6712yescomplemented
365C2×#103—672no—
366C2×#103—672no—
367C2×#103—672no—
368C2×#103—6716no—
369C2×#103C2×D6712yescomplemented
370C2×C22⋊C8—671no—
371C2×C22⋊C8—672no—
372C2×C22⋊C8—678no—
373C2×C22⋊C8C2×D6711yescharacteristic
374C25—671no—
375C22×Q8—674no—
376C22×Q8—671no—
377C22×Q8—1341no—
378C22×Q8—1348no—
379C22×Q8—1342no—
380C22×Q8C22×D6711yescharacteristic
381C23×C4—21no—
382C23×C4—2688no—
383C23×C4—671no—
384C23×C4—671no—
385C23×C4—671no—
386C23×C4—671no—
387C23×C4—674no—
388C23×C4—674no—
389C23×C4—671no—
390C23×C4—1341no—
391C23×C4—1341no—
392C23×C4—1348no—
393C23×C4—1342no—
394C23×C4—1342no—
395C23×C4—1348no—
396C23×C4—1341no—
397C23×C4C22×D6711yescharacteristic
398C22×C8—672no—
399C22×C8—678no—
400C22×C8—1348no—
401C22×C8C22×D6712yes—
402C22⋊Q8—22no—
403C22⋊Q8—674no—
404C22⋊Q8—674no—
405C22⋊Q8—674no—
406C22⋊Q8—1348no—
407C22⋊Q8—1348no—
408C22⋊Q8—1342no—
409C22⋊Q8—1342no—
410C22⋊Q8—1342no—
411C22⋊Q8C22×D6714yes—
412C2×C4⋊C4—22no—
413C2×C4⋊C4—21no—
414C2×C4⋊C4—21no—
415C2×C4⋊C4—672no—
416C2×C4⋊C4—674no—
417C2×C4⋊C4—671no—
418C2×C4⋊C4—678no—
419C2×C4⋊C4—678no—
420C2×C4⋊C4—674no—
421C2×C4⋊C4—1344no—
422C2×C4⋊C4—1348no—
423C2×C4⋊C4—1348no—
424C2×C4⋊C4—1344no—
425C2×C4⋊C4—1342no—
426C2×C4⋊C4—1348no—
427C2×C4⋊C4—1348no—
428C2×C4⋊C4—1342no—
429C2×C4⋊C4—1342no—
430C2×C4⋊C4—1341no—
431C2×C4⋊C4—1341no—
432C2×C4⋊C4—1341no—
433C2×C4⋊C4—1342no—
434C2×C4⋊C4—1341no—
435C2×C4⋊C4—1341no—
436C2×C4⋊C4C22×D6712yes—
437C2×C4⋊C4C22×D6714yes—
438C2×C4⋊C4C22×D6711yescharacteristic
439C2×C22⋊C4—21no—
440C2×C22⋊C4—1348no—
441C2×C22⋊C4—1341no—
442C2×C22⋊C4—1341no—
443C2×C22⋊C4—1341no—
444#106—678no—
445#106—678no—
446#106—678no—
447#106C22×D6718yescomplemented
448#103—678no—
449#103—678no—
450#103—678no—
451#103C22×D6718yescomplemented
452C22⋊C8—674no—
453C22⋊C8—678no—
454C22⋊C8C22×D6714yes—
455C24—671no—
456C24—678no—
457C24—674no—
458C24—671no—
459C24—1344no—
460C24—1344no—
461C24D4×D6711yescharacteristic
462C2×Q8—21no—
463C2×Q8—24no—
464C2×Q8—2684no—
465C2×Q8—2688no—
466C2×Q8—672no—
467C2×Q8—1344no—
468C2×Q8—13416no—
469C2×Q8—1344no—
470C2×Q8—1341no—
471C2×Q8C23×D6712yes—
472C22×C4—24no—
473C22×C4—24no—
474C22×C4—21no—
475C22×C4—21no—
476C22×C4—22no—
477C22×C4—44no—
478C22×C4—2688no—
479C22×C4—26832no—
480C22×C4—2688no—
481C22×C4—2684no—
482C22×C4—2684no—
483C22×C4—2684no—
484C22×C4—671no—
485C22×C4—672no—
486C22×C4—678no—
487C22×C4—672no—
488C22×C4—674no—
489C22×C4—671no—
490C22×C4—674no—
491C22×C4—674no—
492C22×C4—672no—
493C22×C4—672no—
494C22×C4—1344no—
495C22×C4—1344no—
496C22×C4—1348no—
497C22×C4—1348no—
498C22×C4—1344no—
499C22×C4—13416no—
500C22×C4—13416no—
501C22×C4—1344no—
502C22×C4—1344no—
503C22×C4—1341no—
504C22×C4—1341no—
505C22×C4—1342no—
506C22×C4—1344no—
507C22×C4—1344no—
508C22×C4D4×D6712yes—
509C22×C4D4×D6711yescharacteristic
510C22×C4C23×D6712yes—
511C22×C4C23×D6711yescharacteristic
512C2×C8—24no—
513C2×C8—674no—
514C2×C8—13416no—
515C2×C8—1344no—
516C2×C8C23×D6714yes—
517C4⋊C4—24no—
518C4⋊C4—22no—
519C4⋊C4—24no—
520C4⋊C4—21no—
521C4⋊C4—674no—
522C4⋊C4—672no—
523C4⋊C4—1348no—
524C4⋊C4—1348no—
525C4⋊C4—1344no—
526C4⋊C4—1344no—
527C4⋊C4—1344no—
528C4⋊C4—1344no—
529C4⋊C4—1342no—
530C4⋊C4—1341no—
531C4⋊C4—1344no—
532C4⋊C4C23×D6714yes—
533C4⋊C4C23×D6712yes—
534C22⋊C4—24no—
535C22⋊C4—1344no—
536C22⋊C4—1344no—
537C22⋊C4—1344no—
538C23—22no—
539C23—22no—
540C23—674no—
541C23—674no—
542C23—674no—
543C23—672no—
544C23—6716no—
545C23—674no—
546C23—672no—
547C23—1348no—
548C23—1348no—
549C23—13432no—
550C23—1342no—
551C23—1342no—
552C23SD16×D6714yes—
553C23C2×D4×D6712yes—
554C23C2×D4×D6711yescharacteristic
555Q8—24no—
556Q8—42no—
557Q8—2688no—
558Q8—2682no—
559Q8—1344no—
560C2×C4—22no—
561C2×C4—24no—
562C2×C4—24no—
563C2×C4—22no—
564C2×C4—22no—
565C2×C4—24no—
566C2×C4—42no—
567C2×C4—48no—
568C2×C4—44no—
569C2×C4—42no—
570C2×C4—26816no—
571C2×C4—26816no—
572C2×C4—2688no—
573C2×C4—2688no—
574C2×C4—2682no—
575C2×C4—2688no—
576C2×C4—2684no—
577C2×C4—2682no—
578C2×C4—674no—
579C2×C4—672no—
580C2×C4—678no—
581C2×C4—678no—
582C2×C4—672no—
583C2×C4—1348no—
584C2×C4—1348no—
585C2×C4—1342no—
586C2×C4—1342no—
587C2×C4—1344no—
588C2×C4—1348no—
589C2×C4—1342no—
590C2×C4—1344no—
591C2×C4—1344no—
592C2×C4C2×D4×D6712yes—
593C2×C4C2×D4×D6711yescharacteristic
594C2×C4#41×D6714yes—
595C2×C4C24×D6711yescharacteristic
596C8—24no—
597C8—1344no—
598C22—22no—
599C22—28no—
600C22—22no—
601C22—674no—
602C22—674no—
603C22—6716no—
604C22—674no—
605C22—674no—
606C22—13432no—
607C22—1342no—
608C22—1348no—
609C22—1342no—
610C22#123×D6712yes—
611C22C2×SD16×D6714yes—
612C22C2×SD16×D6712yes—
613C22#137×D6712yes—
614C22C22×D4×D6711yescharacteristic
615C4—22no—
616C4—44no—
617C4—42no—
618C4—42no—
619C4—2684no—
620C4—2682no—
621C4—2682no—
622C4—674no—
623C4—1342no—
624C4#123×D6712yes—
625C4C2×#41×D6712yes—
626C2—24no—
627C2—678no—
628C2—1344no—
629C2#483×D6714yesdirect product factor
630C2C2×#123×D6711yescharacteristic
631C2C22×SD16×D6711yescharacteristic
632C2C2×#137×D6711yescharacteristic
subgroupG/H
centerC23C2×D4×D67
commutator, cosocleC2×C4×C67C25
FrattiniC2×C4C24×D67
FittingC2×#483×C67C2
socleC23×C67C22×D4
prime radicalC24×D67D4
hypercenterC2×#483D67
hypocenterC67C22×#483
LCSG ▷ C2×C4×C67 ▷ C2×C67 ▷ C67
UCSC1 ◁ C23 ◁ C23×C4 ◁ C2×#483

Complements

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

NH ≅ G/Ntype
3. C2×#16863728C2semidirect
4. C2×#16863727C2semidirect
5. C2×#16863726C2semidirect
6. C2×#16863725C2semidirect
7. C2×#16863724C2semidirect
8. #483×D67C2direct (N × H)
9. C2×#106×D67C2semidirect
10. C2×#103×D67C2semidirect
12. C2×#483×C67C2semidirect
35. #16863728C22semidirect
36. #16863727C22semidirect
37. #16863726C22semidirect
38. #16863725C22semidirect
39. #16863724C22semidirect
40. C2×#14523975C22semidirect
41. C2×#14523974C22semidirect
42. C2×#14523974C22semidirect
43. #106×D67C22semidirect
44. C2×#14523968C22semidirect
45. C2×#14523967C22semidirect
46. C2×#14523966C22semidirect
47. #103×D67C22semidirect
53. #483×C67C22semidirect
54. C2×#106×C67C22semidirect
55. C2×#103×C67C22semidirect
114. #14523975C23semidirect
115. #14523974C23semidirect
116. #14523974C23semidirect
117. #14523968C23semidirect
118. #14523967C23semidirect
119. #14523966C23semidirect
135. #106×C67C23semidirect
136. #103×C67C23semidirect
293. C2×D67#483direct (N × H)
311. C2×C67C2×#483semidirect
316. D67C2×#483direct (N × H)
325. C2×#483D67direct (N × H)
329. C67C22×#483semidirect
359. #483C2×D67direct (N × H)
364. C2×#106C2×D67semidirect
369. C2×#103C2×D67semidirect
447. #106C22×D67semidirect
451. #103C22×D67semidirect
629. C2#483×D67direct (N × H)

Maximal subgroups

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

subgroupindex
C2×C22⋊Q8×D672
C22×C4⋊C4×D672
C2×#168637282
C2×#168637272
C2×#168637262
C2×#168637252
C2×#168637242
#483×D672
C2×#106×D672
C2×#103×D672
C2×C22⋊C8×D672
C2×#483×C672
C22×#48367