Finite Group Databasebeta

← C2×#24920339 #36284844

Subgroups — C2×#24920339 #36284844

Order 21248.

1842 conjugacy classes of subgroups.

The subgroup lattice has 684 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#19128427C211yesmaximal, characteristic, complemented
2C2×#19128410C211yesmaximal, characteristic
3#24920339C2116yesmaximal, direct product factor
4C2×#19128103C211yesmaximal, characteristic, complemented
5C2×#19128101C211yesmaximal, characteristic, complemented
6C2×#19128098C211yesmaximal, characteristic, complemented
7C2×#19128010C211yesmaximal, characteristic, complemented
8C2×#19128008C211yesmaximal, characteristic, complemented
9C2×#19127994C211yesmaximal, characteristic, complemented
10C2×#19128001C211yesmaximal, characteristic
11C2×#19127999C211yesmaximal, characteristic
12C2×#19127979C211yesmaximal, characteristic
13C2×C8×Dic166C211yesmaximal, characteristic, complemented
14C2×SD16×Dic83C211yesmaximal, characteristic
15C2×SD16×Dic83C211yesmaximal, characteristic
16C2×C4×SD16×C83C211yesmaximal, characteristic
17#19128427—24no—
18#19128427C2218yescomplemented
19#19128410—24no—
20#19128410C2218yes—
21C2×#14581791—21no—
22C2×#14581791C2211yescharacteristic
23C2×#14581791C2211yescharacteristic
24C2×#14581784—21no—
25C2×#14581784C2211yescharacteristic
26C2×#14581784C2211yescharacteristic
27C2×#14581783—21no—
28C2×#14581783C2211yescharacteristic
29C2×#14581783C2211yescharacteristic
30C2×#14581771—21no—
31C2×#14581769—21no—
32C2×#14581769—21no—
33C2×Q8×Dic83C2211yescharacteristic
34C2×Q8×Dic83C2211yescharacteristic
35C2×C4×Dic166—21no—
36C2×C4×Dic166C2211yescharacteristic
37C2×D4×Dic83C2211yescharacteristic
38C2×D4×Dic83C2211yescharacteristic
39C22×Dic83⋊C4—21no—
40#19128103C2218yescomplemented
41#19128101C2218yescomplemented
42#19128098C2218yescomplemented
43#19128010C2218yescomplemented
44#19128008C2218yescomplemented
45#19128001C2218yes—
46#19127999C2218yes—
47#19127994C2218yescomplemented
48#19127979C2218yes—
49C8×Dic166C2218yescomplemented
50SD16×Dic83C2218yes—
51SD16×Dic83C2218yes—
52C2×#14581726C2211yescharacteristic
53C2×#14581726C2211yescharacteristic
54C2×#14581725C2211yescharacteristic
55C2×#14581725C2211yescharacteristic
56C2×#14581724C2211yescharacteristic
57C2×#14581724C2211yescharacteristic
58C2×#14581723C2211yescharacteristic
59C2×#14581723C2211yescharacteristic
60C2×C4⋊(C83⋊C8)C2211yescharacteristic
61C2×Dic83⋊C8C2211yescharacteristic
62C2×Dic83⋊C8C2211yescharacteristic
63C2×#14581716C2211yescharacteristic
64C2×#14581716C2211yescharacteristic
65C2×#14581713C2211yescharacteristic
66C2×#14581713C2211yescharacteristic
67C2×C8×Dic83C2211yescharacteristic
68C2×C8×Dic83C2211yescharacteristic
69C22×SD16×C83C2211yescharacteristic
70C2×C4×Q8×C83C2211yescharacteristic
71C2×C4×D4×C83C2211yescharacteristic
72C4×SD16×C83C2218yes—
73C2×#106×C83C2211yescharacteristic
74C2×#103×C83C2211yescharacteristic
75C2×#102×C83C2211yescharacteristic
76C2×C4×C8×C83C2211yescharacteristic
77C22×Dic166—21no—
78C22×Dic166—21no—
79C22×Dic166D411yescharacteristic
80C23×Dic83—21no—
81C23×Dic83—21no—
82C22×C83⋊C8C2311yescharacteristic
83C22×C83⋊C8C2311yescharacteristic
84#14581791—28no—
85#14581791—22no—
86#14581791—22no—
87#14581791C2314yes—
88#14581791C2314yes—
89#14581784—28no—
90#14581784—22no—
91#14581784—22no—
92#14581784C2314yes—
93#14581784C2314yes—
94#14581783—28no—
95#14581783—22no—
96#14581783—22no—
97#14581783C2314yes—
98#14581783C2314yes—
99#14581771—28no—
100#14581769—28no—
101#14581769—28no—
102Q8×Dic83—22no—
103Q8×Dic83—22no—
104Q8×Dic83C2314yes—
105Q8×Dic83C2314yes—
106C4×Dic166—28no—
107C4×Dic166D414yes—
108C4×Dic166C2314yes—
109D4×Dic83—22no—
110D4×Dic83—22no—
111D4×Dic83C2314yes—
112D4×Dic83C2314yes—
113C2×C4⋊Dic83—21no—
114C2×C4⋊Dic83—21no—
115C2×C4⋊Dic83—21no—
116C2×C4⋊Dic83—21no—
117C2×C4⋊Dic83D411yescharacteristic
118C2×C4⋊Dic83C2311yescharacteristic
119C2×C4⋊Dic83C2311yescharacteristic
120C2×C4⋊Dic83C2311yescharacteristic
121C2×C4⋊Dic83C2311yescharacteristic
122C2×Dic83⋊C4—21no—
123C2×Dic83⋊C4—21no—
124C2×Dic83⋊C4—21no—
125C2×Dic83⋊C4—21no—
126C2×Dic83⋊C4—28no—
127C2×Dic83⋊C4—21no—
128C2×Dic83⋊C4—21no—
129C2×Dic83⋊C4—21no—
130C2×Dic83⋊C4—21no—
131C2×Dic83⋊C4D411yescharacteristic
132C2×Dic83⋊C4D411yescharacteristic
133C2×C22⋊Dic83—21no—
134C2×C22⋊Dic83—21no—
135C2×C4×Dic83—21no—
136C2×C4×Dic83—21no—
137C2×C4×Dic83C2311yescharacteristic
138C2×C4×Dic83C2311yescharacteristic
139#14581726C2314yes—
140#14581726C2314yes—
141#14581725C2314yes—
142#14581725C2314yes—
143#14581724C2314yes—
144#14581724C2314yes—
145#14581723C2314yes—
146#14581723C2314yes—
147C4⋊(C83⋊C8)C2314yes—
148Dic83⋊C8C2314yes—
149Dic83⋊C8C2314yes—
150#14581716C2314yes—
151#14581716C2314yes—
152#14581713C2314yes—
153#14581713C2314yes—
154C8×Dic83C2314yes—
155C8×Dic83C2314yes—
156C22×Q8×C83C2311yescharacteristic
157C22×D4×C83C2311yescharacteristic
158C23×C4×C83—21no—
159C2×SD16×C83Q818yescomplemented
160C2×SD16×C83C2314yes—
161C22×C8×C83C2311yescharacteristic
162C22×C8×C83C2311yescharacteristic
163C4×Q8×C83—22no—
164C4×Q8×C83C2314yes—
165C4×D4×C83—22no—
166C4×D4×C83C2314yes—
167C2×C4⋊C4×C83—21no—
168C2×C4⋊C4×C83C2311yescharacteristic
169C2×C4⋊C4×C83C2311yescharacteristic
170C2×C22⋊C4×C83—21no—
171C2×C42×C83—21no—
172C2×C42×C83C2311yescharacteristic
173#106×C83C2314yes—
174#103×C83C2314yes—
175#102×C83C2314yes—
176C4×C8×C83C2314yes—
177C2×Dic166—24no—
178C2×Dic166—24no—
179C2×Dic166—24no—
180C2×Dic166—44no—
181C2×Dic166—82no—
182C2×Dic166C2×D414yes—
183C22×Dic83—21no—
184C22×Dic83—21no—
185C22×Dic83—21no—
186C22×Dic83—21no—
187C22×Dic83—24no—
188C22×Dic83—24no—
189C22×Dic83—44no—
190C22×Dic83—82no—
191C22×Dic83C2×D411yescharacteristic
192C22×Dic83C2×D411yescharacteristic
193C22×Dic83C2×D411yescharacteristic
194C22×Dic83C2×D411yescharacteristic
195C2×C83⋊C8—22no—
196C2×C83⋊C8—22no—
197C2×C83⋊C8C2412yes—
198C2×C83⋊C8C2412yes—
199C4⋊Dic83—21no—
200C4⋊Dic83—21no—
201C4⋊Dic83—21no—
202C4⋊Dic83—21no—
203C4⋊Dic83—24no—
204C4⋊Dic83—24no—
205C4⋊Dic83—24no—
206C4⋊Dic83—24no—
207C4⋊Dic83C2×D414yes—
208C4⋊Dic83C2412yes—
209C4⋊Dic83C2412yes—
210C4⋊Dic83C2412yes—
211C4⋊Dic83C2412yes—
212Dic83⋊C4—24no—
213Dic83⋊C4—24no—
214Dic83⋊C4—24no—
215Dic83⋊C4—24no—
216Dic83⋊C4—24no—
217Dic83⋊C4—24no—
218Dic83⋊C4—24no—
219Dic83⋊C4—24no—
220Dic83⋊C4C2×D414yes—
221Dic83⋊C4C2×D414yes—
222C22⋊Dic83—24no—
223C22⋊Dic83—24no—
224C4×Dic83—24no—
225C4×Dic83—24no—
226C4×Dic83C2×D412yes—
227C4×Dic83C2×D412yes—
228C4×Dic83C2412yes—
229C4×Dic83C2412yes—
230C24×C83—21no—
231C2×Q8×C83—21no—
232C2×Q8×C83—22no—
233C2×Q8×C83C2×Q814yes—
234C2×Q8×C83C2412yes—
235C2×D4×C83—21no—
236C2×D4×C83—22no—
237C2×D4×C83C2×Q814yes—
238C2×D4×C83C2412yes—
239C22×C4×C83—21no—
240C22×C4×C83—21no—
241C22×C4×C83—21no—
242C22×C4×C83—24no—
243C22×C4×C83—82no—
244C22×C4×C83C2×D411yescharacteristic
245C22×C4×C83C2×D411yescharacteristic
246C22×C4×C83C2411yescharacteristic
247SD16×C83C2×Q8116yescomplemented
248C2×C8×C83—22no—
249C2×C8×C83C2×Q814yes—
250C2×C8×C83C2412yes—
251C2×C8×C83C2412yes—
252C4⋊C4×C83—24no—
253C4⋊C4×C83—21no—
254C4⋊C4×C83—21no—
255C4⋊C4×C83C2412yes—
256C4⋊C4×C83C2412yes—
257C22⋊C4×C83—24no—
258C42×C83—24no—
259C42×C83C2×D412yes—
260C42×C83C2412yes—
261C23×C83—24no—
262C23×C83—22no—
263C23×C83—42no—
264C23×C83—42no—
265C23×C83C22×D411yescharacteristic
266Q8×C83—24no—
267Q8×C83—22no—
268Q8×C83C22×Q814yes—
269D4×C83—24no—
270D4×C83—22no—
271D4×C83C22×Q814yes—
272C2×C4×C83—24no—
273C2×C4×C83—22no—
274C2×C4×C83—22no—
275C2×C4×C83—22no—
276C2×C4×C83—22no—
277C2×C4×C83—22no—
278C2×C4×C83—42no—
279C2×C4×C83—42no—
280C2×C4×C83—84no—
281C2×C4×C83C22×D412yes—
282C2×C4×C83C22×D412yes—
283C2×C4×C83C22×D411yescharacteristic
284C2×C4×C83C22×Q812yes—
285C2×C4×C832−1+412yes—
286C2×C4×C83C2511yescharacteristic
287C2×Dic83—22no—
288C2×Dic83—22no—
289C2×Dic83—22no—
290C2×Dic83—22no—
291C2×Dic83—22no—
292C2×Dic83—22no—
293C2×Dic83—22no—
294C2×Dic83—42no—
295C2×Dic83—42no—
296C2×Dic83—42no—
297C2×Dic83—42no—
298C2×Dic83—48no—
299C2×Dic83—84no—
300C2×Dic83#13514yes—
301C2×Dic83C22×D412yes—
302C2×Dic83C22×D412yes—
303C2×Dic83C22×D412yes—
304C2×Dic83C22×D412yes—
305Dic166—28no—
306Dic166—48no—
307Dic166—84no—
308C8×C83—22no—
309C8×C83C22×Q814yes—
310C83⋊C8—22no—
311C83⋊C8—22no—
312C22×C83—24no—
313C22×C83—48no—
314C22×C83—42no—
315C22×C83—42no—
316C22×C83D4×Q812yes—
317C22×C83C2×#13512yes—
318C22×C83#57712yes—
319C22×C83C23×D411yescharacteristic
320C4×C83—24no—
321C4×C83—22no—
322C4×C83—22no—
323C4×C83—42no—
324C4×C83—42no—
325C4×C83D4×Q812yes—
326C4×C83C23×Q811yescharacteristic
327C4×C83C2×2−1+411yescharacteristic
328Dic83—22no—
329Dic83—22no—
330Dic83—22no—
331Dic83—42no—
332Dic83—42no—
333Dic83—42no—
334Dic83—42no—
335Dic83C2×#13514yes—
336C2×#3381—831nomaximal, Sylow
337C2×C83—44no—
338C2×C83#338114yescomplemented
339C2×C83C2×D4×Q811yescharacteristic
340C2×C83C22×#13511yescharacteristic
341C2×C83C2×#57711yescharacteristic
342C2×#557—831no—
343C2×#554—831no—
344#3381—8316no—
345C2×#499—831no—
346C2×#499—831no—
347C2×#498—831no—
348C2×#479—831no—
349C2×#479—831no—
350C2×#477—831no—
351C2×#478—831no—
352C2×#478—831no—
353C2×#474—831no—
354C2×C8×Q8—831no—
355C2×C4×SD16—831no—
356C2×C4×SD16—831no—
357C2×C4×SD16D8311yescharacteristic
358C83C2×#338111yescharacteristic, complemented, Sylow
359C22×SD16C2×D8311yescharacteristic
360#557—838no—
361#557—1664no—
362#554—838no—
363#554—1664no—
364C2×C4⋊Q8—831no—
365C2×C4⋊Q8—831no—
366C2×C4⋊Q8—1661no—
367C2×#125—831no—
368C2×#125—831no—
369C2×#125—831no—
370C2×#125—831no—
371C2×#125—1661no—
372C2×#125—1661no—
373C2×C22⋊Q8—1661no—
374C2×C22⋊Q8—1661no—
375C2×C22⋊Q8—1661no—
376C2×C4×Q8—831no—
377C2×C4×Q8—831no—
378C2×C4×Q8—831no—
379C2×C4×Q8—1661no—
380C2×C4×Q8C2×D8311yescharacteristic
381C2×C4×D4—831no—
382C2×C4×D4—831no—
383C2×C4×D4C2×D8311yescharacteristic
384C22×C4⋊C4—1661no—
385#499—838no—
386#499—838no—
387#498—838no—
388#479—838no—
389#479—838no—
390#478—838no—
391#478—838no—
392#477—838no—
393#474—838no—
394C8×Q8—838no—
395C4×SD16—838no—
396C4×SD16—838no—
397C4×SD16C2×D8318yes—
398C2×#107—831no—
399C2×#107—831no—
400C2×#107—831no—
401C2×#107—831no—
402C2×#106—831no—
403C2×#106—831no—
404C2×#106—831no—
405C2×#106—831no—
406C2×#106C2×D8311yescharacteristic
407C2×C4⋊C8—831no—
408C2×C4⋊C8—831no—
409C2×C4⋊C8—831no—
410C2×#103—831no—
411C2×#103—831no—
412C2×#103C2×D8311yescharacteristic
413C2×#102—831no—
414C2×#102—831no—
415C2×#102C2×D8311yescharacteristic
416C2×C4×C8—831no—
417C2×C4×C8—831no—
418C2×C4×C8C2×D8311yescharacteristic
419C22×Q8—831no—
420C22×Q8—1661no—
421C22×Q8—1661no—
422C22×Q8C22×D8311yescharacteristic
423C22×D4C22×D8311yescharacteristic
424C23×C4—21no—
425C23×C4—1661no—
426C23×C4—1661no—
427C2×SD16Dic16618yescomplemented
428C2×SD16C22×D8314yes—
429C22×C8—831no—
430C22×C8—831no—
431C22×C8C22×D8311yescharacteristic
432C22×C8C22×D8311yescharacteristic
433C4⋊Q8—834no—
434C4⋊Q8—834no—
435C4⋊Q8—1662no—
436C4⋊Q8—1662no—
437C4⋊Q8—1668no—
438#125—834no—
439#125—834no—
440#125—834no—
441#125—834no—
442#125—1668no—
443#125—1662no—
444#125—1662no—
445#125—1668no—
446#125—1662no—
447#125—1662no—
448C22⋊Q8—1668no—
449C22⋊Q8—1668no—
450C22⋊Q8—1668no—
451C4×Q8—22no—
452C4×Q8—834no—
453C4×Q8—834no—
454C4×Q8—834no—
455C4×Q8—834no—
456C4×Q8—1668no—
457C4×Q8—1662no—
458C4×Q8—1662no—
459C4×Q8C22×D8314yes—
460C4×D4—22no—
461C4×D4—834no—
462C4×D4—834no—
463C4×D4—1662no—
464C4×D4—1662no—
465C4×D4C22×D8314yes—
466C2×C4⋊C4—21no—
467C2×C4⋊C4—831no—
468C2×C4⋊C4—831no—
469C2×C4⋊C4—831no—
470C2×C4⋊C4—831no—
471C2×C4⋊C4—831no—
472C2×C4⋊C4—831no—
473C2×C4⋊C4—831no—
474C2×C4⋊C4—1668no—
475C2×C4⋊C4—1661no—
476C2×C4⋊C4—1661no—
477C2×C4⋊C4—1661no—
478C2×C4⋊C4—1661no—
479C2×C4⋊C4—1661no—
480C2×C4⋊C4—1661no—
481C2×C4⋊C4—1661no—
482C2×C4⋊C4—1661no—
483C2×C4⋊C4—1661no—
484C2×C4⋊C4—1661no—
485C2×C4⋊C4—1661no—
486C2×C4⋊C4—1661no—
487C2×C4⋊C4C22×D8311yescharacteristic
488C2×C4⋊C4C22×D8311yescharacteristic
489C2×C22⋊C4—21no—
490C2×C22⋊C4—1661no—
491C2×C22⋊C4—1661no—
492C2×C42—21no—
493C2×C42—831no—
494C2×C42—831no—
495C2×C42—1661no—
496C2×C42—1661no—
497C2×C42C22×D8311yescharacteristic
498#107—834no—
499#107—834no—
500#107—834no—
501#107—834no—
502#106—834no—
503#106—834no—
504#106—834no—
505#106—834no—
506#106C22×D8314yes—
507C4⋊C8—834no—
508C4⋊C8—834no—
509C4⋊C8—834no—
510#103—834no—
511#103—834no—
512#103C22×D8314yes—
513#102—834no—
514#102—834no—
515#102C22×D8314yes—
516C4×C8—834no—
517C4×C8—834no—
518C4×C8C22×D8314yes—
519C24—21no—
520C2×Q8—21no—
521C2×Q8—22no—
522C2×Q8—3324no—
523C2×Q8—834no—
524C2×Q8—6642no—
525C2×Q8—1664no—
526C2×Q8—1664no—
527C2×Q8—1664no—
528C2×Q8C2×Dic16614yes—
529C2×Q8C23×D8312yes—
530C2×D4—21no—
531C2×D4—22no—
532C2×D4C2×Dic16614yes—
533C2×D4C23×D8312yes—
534C22×C4—21no—
535C22×C4—21no—
536C22×C4—21no—
537C22×C4—24no—
538C22×C4—82no—
539C22×C4—3324no—
540C22×C4—831no—
541C22×C4—831no—
542C22×C4—831no—
543C22×C4—831no—
544C22×C4—6642no—
545C22×C4—1664no—
546C22×C4—1661no—
547C22×C4—1661no—
548C22×C4—1661no—
549C22×C4—1661no—
550C22×C4—1664no—
551C22×C4D4×D8311yescharacteristic
552C22×C4D4×D8311yescharacteristic
553C22×C4C23×D8311yescharacteristic
554SD16C2×Dic166116yescomplemented
555C2×C8—22no—
556C2×C8—832no—
557C2×C8—832no—
558C2×C8—1662no—
559C2×C8—1662no—
560C2×C8C2×Dic16614yes—
561C2×C8C23×D8312yes—
562C2×C8C23×D8312yes—
563C4⋊C4—24no—
564C4⋊C4—21no—
565C4⋊C4—21no—
566C4⋊C4—834no—
567C4⋊C4—834no—
568C4⋊C4—834no—
569C4⋊C4—832no—
570C4⋊C4—832no—
571C4⋊C4—832no—
572C4⋊C4—832no—
573C4⋊C4—1664no—
574C4⋊C4—1664no—
575C4⋊C4—1664no—
576C4⋊C4—1664no—
577C4⋊C4—1664no—
578C4⋊C4—1664no—
579C4⋊C4—1664no—
580C4⋊C4—1664no—
581C4⋊C4—1661no—
582C4⋊C4—1661no—
583C4⋊C4—1661no—
584C4⋊C4—1661no—
585C4⋊C4—1664no—
586C4⋊C4—1664no—
587C4⋊C4—1664no—
588C4⋊C4—1664no—
589C4⋊C4C23×D8312yes—
590C4⋊C4C23×D8312yes—
591C22⋊C4—24no—
592C22⋊C4—1664no—
593C22⋊C4—1664no—
594C42—24no—
595C42—832no—
596C42—832no—
597C42—832no—
598C42—832no—
599C42—1664no—
600C42—1664no—
601C42D4×D8312yes—
602C42C23×D8312yes—
603C23—24no—
604C23—22no—
605C23—42no—
606C23—42no—
607C23C2×D4×D8311yescharacteristic
608Q8—24no—
609Q8—22no—
610Q8—3328no—
611Q8—6644no—
612Q8—1668no—
613Q8C22×Dic16614yes—
614D4—24no—
615D4—22no—
616D4C22×Dic16614yes—
617C2×C4—24no—
618C2×C4—22no—
619C2×C4—22no—
620C2×C4—22no—
621C2×C4—22no—
622C2×C4—22no—
623C2×C4—42no—
624C2×C4—42no—
625C2×C4—84no—
626C2×C4—3322no—
627C2×C4—3322no—
628C2×C4—3322no—
629C2×C4—3322no—
630C2×C4—3328no—
631C2×C4—834no—
632C2×C4—832no—
633C2×C4—832no—
634C2×C4—832no—
635C2×C4—832no—
636C2×C4—6644no—
637C2×C4—1662no—
638C2×C4—1662no—
639C2×C4—1662no—
640C2×C4—1662no—
641C2×C4—1662no—
642C2×C4—1662no—
643C2×C4—1662no—
644C2×C4C2×D4×D8312yes—
645C2×C4C2×D4×D8312yes—
646C2×C4C2×D4×D8311yescharacteristic
647C2×C4C22×Dic16612yes—
648C2×C4#1458183912yes—
649C2×C4C24×D8311yescharacteristic
650C8—22no—
651C8—1662no—
652C8—1662no—
653C8C22×Dic16614yes—
654C22—24no—
655C22—48no—
656C22—42no—
657C22—42no—
658C22D4×Dic16612yes—
659C22#135×D8312yes—
660C22#1912850712yes—
661C22C22×D4×D8311yescharacteristic
662C4—22no—
663C4—24no—
664C4—22no—
665C4—42no—
666C4—42no—
667C4—3322no—
668C4—3322no—
669C4—3322no—
670C4—3322no—
671C4—834no—
672C4—1662no—
673C4—1662no—
674C4—1662no—
675C4D4×Dic16612yes—
676C4C23×Dic16611yescharacteristic
677C4C2×#1458183911yescharacteristic
678C2—44no—
679C2#2492033914yesdirect product factor
680C2C2×D4×Dic16611yescharacteristic
681C2C2×#135×D8311yescharacteristic
682C2C2×#1912850711yescharacteristic
subgroupG/H
centerC23C2×D4×D83
commutator, cosocleC2×C4×C83C25
FrattiniC2×C4C24×D83
FittingC2×C4×SD16×C83C2
socleC23×C83C22×D4
prime radicalC22×D4×C83C23
hypercenterC2×C4×SD16D83
hypocenterC83C2×#3381
LCSG ▷ C2×C4×C83 ▷ C2×C83 ▷ C83
UCSC1 ◁ C23 ◁ C2×C42 ◁ C2×C4×SD16

Complements

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

NH ≅ G/Ntype
1. C2×#19128427C2semidirect
3. #24920339C2direct (N × H)
4. C2×#19128103C2semidirect
5. C2×#19128101C2semidirect
6. C2×#19128098C2semidirect
7. C2×#19128010C2semidirect
8. C2×#19128008C2semidirect
9. C2×#19127994C2semidirect
13. C2×C8×Dic166C2semidirect
18. #19128427C22semidirect
40. #19128103C22semidirect
41. #19128101C22semidirect
42. #19128098C22semidirect
43. #19128010C22semidirect
44. #19128008C22semidirect
47. #19127994C22semidirect
49. C8×Dic166C22semidirect
159. C2×SD16×C83Q8semidirect
247. SD16×C83C2×Q8semidirect
338. C2×C83#3381semidirect
358. C83C2×#3381semidirect
427. C2×SD16Dic166semidirect
554. SD16C2×Dic166semidirect
679. C2#24920339direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#191284272
C2×#191284102
#249203392
C2×#191281032
C2×#191281012
C2×#191280982
C2×#191280102
C2×#191280082
C2×#191279942
C2×#191280012
C2×#191279992
C2×#191279792
C2×C8×Dic1662
C2×SD16×Dic832
C2×C4×SD16×C832
C2×#338183