Finite Group Databasebeta

← C2×#24912370 #35575670

Subgroups — C2×#24912370 #35575670

Order 21248.

3526 conjugacy classes of subgroups.

The subgroup lattice has 652 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#14581768C211yesmaximal, characteristic, complemented
2C22×Q8×Dic83C211yesmaximal, characteristic, complemented
3C22×C4×C22⋊D83C211yesmaximal, characteristic
4#24912370C2116yesmaximal, direct product factor
5C2×#19127634C212yesmaximal, complemented
6C2×#19127617C212yesmaximal
7C2×#19127595C212yesmaximal, complemented
8C2×#19127591C212yesmaximal, complemented
9C2×#19127566C211yesmaximal, characteristic, complemented
10C2×#19127561C211yesmaximal, characteristic, complemented
11C2×#19127558C211yesmaximal, characteristic, complemented
12C22×C22⋊Q8×C83C211yesmaximal, characteristic, complemented
13C23×C22⋊D83C2211yescharacteristic
14C23×C4×D83C2211yescharacteristic
15C2×#14581768—28no—
16C2×#14581768C2218yescomplemented
17C2×Q8×Dic83—28no—
18C2×Q8×Dic83C2218yescomplemented
19C2×C4×C22⋊D83—28no—
20C2×C4×C22⋊D83C2218yes—
21C22×C4⋊Dic83C2211yescharacteristic
22C22×C4⋊Dic83C2211yescharacteristic
23C22×C4⋊Dic83C2212yes—
24C22×Dic83⋊C4C2211yescharacteristic
25C22×Dic83⋊C4C2212yes—
26C22×C22⋊Dic83C2212yes—
27C22×C22⋊Dic83C2211yescharacteristic
28C22×(C2×D83)⋊C4C2212yes—
29C22×(C2×D83)⋊C4C2211yescharacteristic
30C22×(C2×D83)⋊C4C2212yes—
31C22×C4×Dic83C2212yes—
32C22×C4×Dic83C2211yescharacteristic
33#19127634C22116yescomplemented
34#19127617C22116yes—
35#19127595C22116yescomplemented
36#19127591C22116yescomplemented
37#19127566C2218yescomplemented
38#19127561C2218yescomplemented
39#19127558C2218yescomplemented
40C2×C83⋊#95C2212yes—
41C2×C83⋊#95C2212yes—
42C2×C83⋊#95C2212yes—
43C2×C83⋊#95C2212yes—
44C23×Q8×C83C2211yescharacteristic
45C24×C4×C83C2211yescharacteristic
46C2×C22⋊Q8×C83—28no—
47C2×C22⋊Q8×C83C2218yescomplemented
48C22×C4⋊C4×C83C2211yescharacteristic
49C22×C4⋊C4×C83C2212yes—
50C22×C22⋊C4×C83C2212yes—
51C24×D83C2311yescharacteristic
52C22×C22⋊D83—24no—
53C22×C22⋊D83—24no—
54C22×C22⋊D83—24no—
55C22×C22⋊D83C2314yes—
56C23×Dic83C2312yes—
57C23×Dic83C2312yes—
58C23×Dic83C2311yescharacteristic
59C23×Dic83C2311yescharacteristic
60C23×Dic83C2311yescharacteristic
61C22×C4×D83—24no—
62C22×C4×D83—24no—
63C22×C4×D83—24no—
64C22×C4×D83C2314yes—
65#14581768—232no—
66Q8×Dic83—232no—
67C4×C22⋊D83—232no—
68C2×C4⋊Dic83—28no—
69C2×C4⋊Dic83—24no—
70C2×C4⋊Dic83—24no—
71C2×C4⋊Dic83C2314yes—
72C2×C4⋊Dic83C2314yes—
73C2×C4⋊Dic83C2318yes—
74C2×Dic83⋊C4—24no—
75C2×Dic83⋊C4—28no—
76C2×Dic83⋊C4C2318yes—
77C2×Dic83⋊C4C2314yes—
78C2×C22⋊Dic83—24no—
79C2×C22⋊Dic83—28no—
80C2×C22⋊Dic83C2318yes—
81C2×C22⋊Dic83C2314yes—
82C2×(C2×D83)⋊C4—28no—
83C2×(C2×D83)⋊C4—24no—
84C2×(C2×D83)⋊C4—28no—
85C2×(C2×D83)⋊C4C2318yes—
86C2×(C2×D83)⋊C4C2314yes—
87C2×(C2×D83)⋊C4C2318yes—
88C2×C4×Dic83—28no—
89C2×C4×Dic83D418yes—
90C2×C4×Dic83C2318yes—
91C2×C4×Dic83C2314yes—
92C83⋊#95C2318yes—
93C83⋊#95C2318yes—
94C83⋊#95C2318yes—
95C83⋊#95C2318yes—
96C25×C83C2311yescharacteristic
97C22×Q8×C83—24no—
98C22×Q8×C83—24no—
99C22×Q8×C83D418yescomplemented
100C22×Q8×C83C2314yes—
101C23×C4×C83—24no—
102C23×C4×C83—24no—
103C23×C4×C83—24no—
104C23×C4×C83C2314yes—
105C23×C4×C83C2312yes—
106C23×C4×C83C2311yescharacteristic
107C23×C4×C83C2312yes—
108C23×C4×C83C2311yescharacteristic
109C22⋊Q8×C83—232no—
110C2×C4⋊C4×C83—24no—
111C2×C4⋊C4×C83—28no—
112C2×C4⋊C4×C83C2314yes—
113C2×C4⋊C4×C83C2318yes—
114C2×C22⋊C4×C83—28no—
115C2×C22⋊C4×C83C2318yes—
116C23×D83—22no—
117C23×D83—22no—
118C23×D83—22no—
119C23×D83—22no—
120C23×D83—22no—
121C23×D83—22no—
122C23×D83#4114yes—
123C23×D83C2412yes—
124C2×C22⋊D83—232no—
125C2×C22⋊D83—28no—
126C2×C22⋊D83—28no—
127C2×C22⋊D83—28no—
128C22×Dic83—22no—
129C22×Dic83—22no—
130C22×Dic83—22no—
131C22×Dic83—22no—
132C22×Dic83—22no—
133C22×Dic83—22no—
134C22×Dic83—24no—
135C22×Dic83—24no—
136C22×Dic83—22no—
137C22×Dic83—24no—
138C22×Dic83—24no—
139C22×Dic83—24no—
140C22×Dic83—24no—
141C22×Dic83C2×D414yes—
142C22×Dic83C2×D414yes—
143C22×Dic83C2412yes—
144C22×Dic83C2414yes—
145C22×Dic83C2414yes—
146C22×Dic83C2412yes—
147C22×Dic83C2412yes—
148C2×C4×D83—28no—
149C2×C4×D83—28no—
150C2×C4×D83—28no—
151C2×C4×D83—416no—
152C4⋊Dic83—28no—
153C4⋊Dic83—28no—
154C4⋊Dic83—216no—
155Dic83⋊C4—216no—
156Dic83⋊C4—28no—
157C22⋊Dic83—216no—
158C22⋊Dic83—28no—
159(C2×D83)⋊C4—216no—
160(C2×D83)⋊C4—216no—
161(C2×D83)⋊C4—28no—
162C4×Dic83—216no—
163C4×Dic83C2×D4116yes—
164C24×C83—22no—
165C24×C83—22no—
166C24×C83—22no—
167C24×C83—22no—
168C24×C83—22no—
169C24×C83—22no—
170C24×C83#4114yes—
171C24×C83C2412yes—
172C24×C83C2411yescharacteristic
173C2×Q8×C83—232no—
174C2×Q8×C83—28no—
175C2×Q8×C83—28no—
176C2×Q8×C83C2×D4116yescomplemented
177C22×C4×C83—24no—
178C22×C4×C83—24no—
179C22×C4×C83—24no—
180C22×C4×C83—22no—
181C22×C4×C83—22no—
182C22×C4×C83—22no—
183C22×C4×C83—24no—
184C22×C4×C83—24no—
185C22×C4×C83—28no—
186C22×C4×C83—28no—
187C22×C4×C83—28no—
188C22×C4×C83—416no—
189C22×C4×C83C2×D414yes—
190C22×C4×C83C2×D418yes—
191C22×C4×C83C2×D414yes—
192C22×C4×C83#4114yes—
193C22×C4×C83C2414yes—
194C22×C4×C83C2412yes—
195C22×C4×C83C2414yes—
196C22×C4×C83C2412yes—
197C4⋊C4×C83—28no—
198C4⋊C4×C83—216no—
199C22⋊C4×C83—216no—
200C23×C83—28no—
201C23×C83—28no—
202C23×C83—28no—
203C23×C83—22no—
204C23×C83—22no—
205C23×C83—22no—
206C23×C83—22no—
207C23×C83—22no—
208C23×C83—22no—
209C23×C83—44no—
210C23×C83—44no—
211C23×C83—44no—
212C23×C83—44no—
213C23×C83C22×D412yes—
214C23×C83C22×D412yes—
215C23×C83C2×#4112yes—
216C23×C83C2×#4112yes—
217C23×C83C2×#4114yes—
218C23×C83C2×#4112yes—
219C23×C832−1+412yes—
220C23×C832−1+412yes—
221C23×C83C2511yescharacteristic
222C22×D83—28no—
223C22×D83—28no—
224C22×D83—28no—
225C22×D83—22no—
226C22×D83—22no—
227C22×D83—22no—
228C22×D83—22no—
229C22×D83—22no—
230C22×D83—22no—
231C22×D83—44no—
232C22×D83—44no—
233C22×D83—44no—
234C22×D83—44no—
235C22×D83C2×#4114yes—
236Q8×C83—232no—
237C2×C4×C83—216no—
238C2×C4×C83—24no—
239C2×C4×C83—24no—
240C2×C4×C83—24no—
241C2×C4×C83—22no—
242C2×C4×C83—22no—
243C2×C4×C83—22no—
244C2×C4×C83—24no—
245C2×C4×C83—24no—
246C2×C4×C83—44no—
247C2×C4×C83—48no—
248C2×C4×C83—416no—
249C2×C4×C83#121116yes—
250C2×C4×C83C22×D414yes—
251C2×C4×C83C22×D418yes—
252C2×C4×C83C22×D414yes—
253C2×C4×C83C2×#4114yes—
254C22⋊D83—232no—
255C2×Dic83—28no—
256C2×Dic83—28no—
257C2×Dic83—22no—
258C2×Dic83—22no—
259C2×Dic83—22no—
260C2×Dic83—22no—
261C2×Dic83—24no—
262C2×Dic83—24no—
263C2×Dic83—22no—
264C2×Dic83—22no—
265C2×Dic83—24no—
266C2×Dic83—24no—
267C2×Dic83—24no—
268C2×Dic83—22no—
269C2×Dic83—24no—
270C2×Dic83—44no—
271C2×Dic83—48no—
272C2×Dic83—48no—
273C2×Dic83C22×D414yes—
274C2×Dic83C22×D414yes—
275C4×D83—416no—
276C22×C83—24no—
277C22×C83—24no—
278C22×C83—24no—
279C22×C83—42no—
280C22×C83—42no—
281C22×C83—42no—
282C22×C83—42no—
283C22×C83—416no—
284C22×C83C2×#12114yes—
285C22×C83#52514yes—
286C22×C83#53614yes—
287C22×C83#54814yes—
288C22×C83#54814yes—
289C22×C83#55214yes—
290C22×C83#55214yes—
291C22×C83C23×D411yescharacteristic
292C22×C83C23×D411yescharacteristic
293C22×C83C22×#4111yescharacteristic
294C22×C83C22×#4111yescharacteristic
295C22×C83C22×#4111yescharacteristic
296C22×C83C2×2−1+411yescharacteristic
297C22×C83C2×2−1+411yescharacteristic
298C2×D83—24no—
299C2×D83—24no—
300C2×D83—24no—
301C2×D83—42no—
302C2×D83—42no—
303C2×D83—42no—
304C2×D83—42no—
305C2×D83—416no—
306C4×C83—28no—
307C4×C83—42no—
308C4×C83—44no—
309C4×C83C2×#12118yes—
310Dic83—24no—
311Dic83—24no—
312Dic83—42no—
313Dic83—44no—
314Dic83—44no—
315C2×#2536—831nomaximal, Sylow
316C2×C83—44no—
317C2×C83#253618yescomplemented
318C2×C83C22×#12111yescharacteristic
319C2×C83C2×#52511yescharacteristic
320C2×C83C2×#53611yescharacteristic
321C2×C83C2×#54811yescharacteristic
322C2×C83C2×#54811yescharacteristic
323C2×C83C2×#55211yescharacteristic
324C2×C83C2×#55211yescharacteristic
325D83—44no—
326C22×C22⋊Q8—831no—
327C22×C22⋊Q8D8311yescharacteristic, complemented
328C22×C4×Q8—831no—
329C22×C4×D4—831no—
330#2536—8316no—
331C2×#398—832no—
332C2×#394—832no—
333C2×#388—832no—
334C2×#388—832no—
335C2×#382—831no—
336C2×#380—831no—
337C2×#380—831no—
338C83C2×#253611yescharacteristic, complemented, Sylow
339C23×Q8C2×D8311yescharacteristic
340C23×D4—831no—
341C24×C4—831no—
342C24×C4C2×D8311yescharacteristic
343C2×C22⋊Q8—28no—
344C2×C22⋊Q8—838no—
345C2×C22⋊Q8—1668no—
346C2×C22⋊Q8C2×D8318yescomplemented
347C2×C4×Q8—838no—
348C2×C4×Q8—1668no—
349C2×C4×D4—838no—
350C2×C4×D4—1668no—
351C22×C4⋊C4—832no—
352C22×C4⋊C4—831no—
353C22×C4⋊C4—832no—
354C22×C4⋊C4—831no—
355C22×C4⋊C4—831no—
356C22×C4⋊C4C2×D8312yes—
357C22×C4⋊C4C2×D8311yescharacteristic
358C22×C22⋊C4—832no—
359C22×C22⋊C4—831no—
360C22×C22⋊C4—832no—
361C22×C22⋊C4—832no—
362C22×C22⋊C4—831no—
363C22×C22⋊C4C2×D8312yes—
364C22×C42—831no—
365C22×C42—832no—
366#398—8316no—
367#394—8316no—
368#388—8316no—
369#388—8316no—
370#382—838no—
371#380—838no—
372#380—838no—
373C2×#95—832no—
374C2×#95—832no—
375C2×#95—832no—
376C2×#95—832no—
377C25—831no—
378C25C22×D8311yescharacteristic
379C22×Q8—24no—
380C22×Q8—24no—
381C22×Q8C22⋊D8318yescomplemented
382C22×Q8C22×D8314yes—
383C22×D4—834no—
384C22×D4—1664no—
385C22×D4—1664no—
386C22×D4—1664no—
387C23×C4—24no—
388C23×C4—24no—
389C23×C4—24no—
390C23×C4—831no—
391C23×C4—831no—
392C23×C4—832no—
393C23×C4—832no—
394C23×C4—831no—
395C23×C4—834no—
396C23×C4—1664no—
397C23×C4—1664no—
398C23×C4—1664no—
399C23×C4C22×D8314yes—
400C23×C4C22×D8312yes—
401C23×C4C22×D8311yescharacteristic
402C23×C4C22×D8312yes—
403C23×C4C22×D8311yescharacteristic
404C22⋊Q8—232no—
405C22⋊Q8—16632no—
406C4×Q8—16632no—
407C4×D4—16632no—
408C2×C4⋊C4—24no—
409C2×C4⋊C4—28no—
410C2×C4⋊C4—834no—
411C2×C4⋊C4—834no—
412C2×C4⋊C4—838no—
413C2×C4⋊C4—834no—
414C2×C4⋊C4—838no—
415C2×C4⋊C4—1664no—
416C2×C4⋊C4—1668no—
417C2×C4⋊C4—1664no—
418C2×C4⋊C4—1668no—
419C2×C4⋊C4—1664no—
420C2×C4⋊C4C22×D8314yes—
421C2×C4⋊C4C22×D8318yes—
422C2×C22⋊C4—28no—
423C2×C22⋊C4—834no—
424C2×C22⋊C4—838no—
425C2×C22⋊C4—834no—
426C2×C22⋊C4—838no—
427C2×C22⋊C4—838no—
428C2×C22⋊C4—1664no—
429C2×C22⋊C4—1668no—
430C2×C22⋊C4—1664no—
431C2×C22⋊C4—1668no—
432C2×C22⋊C4—1668no—
433C2×C22⋊C4C22×D8318yes—
434C2×C42—838no—
435C2×C42—834no—
436C2×C42—838no—
437C2×C42—1668no—
438#95—838no—
439#95—838no—
440#95—838no—
441#95—838no—
442C24—22no—
443C24—22no—
444C24—22no—
445C24—22no—
446C24—22no—
447C24—22no—
448C24—834no—
449C24—832no—
450C24—1662no—
451C24—1662no—
452C24—1662no—
453C24—1662no—
454C24—1662no—
455C24—1662no—
456C24#1305059114yes—
457C24C23×D8312yes—
458C24C23×D8311yescharacteristic
459C2×Q8—232no—
460C2×Q8—28no—
461C2×Q8—28no—
462C2×Q8C2×C22⋊D83116yescomplemented
463C2×D4—1668no—
464C2×D4—1668no—
465C2×D4—16632no—
466C2×D4—1668no—
467C22×C4—24no—
468C22×C4—24no—
469C22×C4—22no—
470C22×C4—24no—
471C22×C4—22no—
472C22×C4—24no—
473C22×C4—22no—
474C22×C4—24no—
475C22×C4—28no—
476C22×C4—28no—
477C22×C4—28no—
478C22×C4—416no—
479C22×C4—33216no—
480C22×C4—834no—
481C22×C4—834no—
482C22×C4—832no—
483C22×C4—832no—
484C22×C4—834no—
485C22×C4—834no—
486C22×C4—832no—
487C22×C4—1664no—
488C22×C4—1662no—
489C22×C4—1664no—
490C22×C4—1662no—
491C22×C4—1664no—
492C22×C4—1662no—
493C22×C4—1664no—
494C22×C4—1664no—
495C22×C4—1664no—
496C22×C4—1668no—
497C22×C4—1668no—
498C22×C4—1668no—
499C22×C4—1662no—
500C22×C4—1662no—
501C22×C4—1662no—
502C22×C4—1662no—
503C22×C4D4×D8314yes—
504C22×C4C2×C22⋊D8318yes—
505C22×C4C2×C22⋊D8314yes—
506C22×C4#1305058914yes—
507C22×C4C23×D8314yes—
508C22×C4C23×D8312yes—
509C22×C4C23×D8314yes—
510C22×C4C23×D8312yes—
511C4⋊C4—28no—
512C4⋊C4—216no—
513C4⋊C4—1668no—
514C4⋊C4—16616no—
515C4⋊C4—1668no—
516C4⋊C4—16616no—
517C4⋊C4—1668no—
518C22⋊C4—216no—
519C22⋊C4—1668no—
520C22⋊C4—16616no—
521C22⋊C4—1668no—
522C22⋊C4—16616no—
523C22⋊C4—16616no—
524C42—8316no—
525C42—16616no—
526C23—28no—
527C23—28no—
528C23—28no—
529C23—22no—
530C23—22no—
531C23—22no—
532C23—22no—
533C23—22no—
534C23—22no—
535C23—44no—
536C23—44no—
537C23—44no—
538C23—44no—
539C23—3324no—
540C23—3324no—
541C23—3324no—
542C23—3324no—
543C23—834no—
544C23—1668no—
545C23—1668no—
546C23—1668no—
547C23—1662no—
548C23—1662no—
549C23—1662no—
550C23—1662no—
551C23—1662no—
552C23—1662no—
553C23C2×D4×D8312yes—
554C23C22×C22⋊D8312yes—
555C23#41×D8312yes—
556C23C2×#1305058912yes—
557C23C2×#1305059114yes—
558C23C2×#1305059112yes—
559C23#1458183912yes—
560C23#1458184012yes—
561C23C24×D8311yescharacteristic
562Q8—232no—
563D4—16632no—
564C2×C4—216no—
565C2×C4—24no—
566C2×C4—24no—
567C2×C4—22no—
568C2×C4—24no—
569C2×C4—22no—
570C2×C4—24no—
571C2×C4—22no—
572C2×C4—24no—
573C2×C4—48no—
574C2×C4—44no—
575C2×C4—416no—
576C2×C4—3328no—
577C2×C4—3324no—
578C2×C4—3328no—
579C2×C4—33216no—
580C2×C4—834no—
581C2×C4—834no—
582C2×C4—1664no—
583C2×C4—1662no—
584C2×C4—1664no—
585C2×C4—1662no—
586C2×C4—1664no—
587C2×C4—1662no—
588C2×C4—1664no—
589C2×C4—1664no—
590C2×C4—1664no—
591C2×C4—1668no—
592C2×C4—1662no—
593C2×C4—1662no—
594C2×C4—1668no—
595C2×C4—1662no—
596C2×C4—1662no—
597C2×C4#14581764116yes—
598C2×C4C2×D4×D8314yes—
599C2×C4C22×C22⋊D8318yes—
600C2×C4C22×C22⋊D8314yes—
601C2×C4C2×#1305058914yes—
602C22—24no—
603C22—24no—
604C22—24no—
605C22—42no—
606C22—42no—
607C22—42no—
608C22—42no—
609C22—416no—
610C22—3322no—
611C22—3322no—
612C22—3322no—
613C22—3322no—
614C22—33216no—
615C22—1664no—
616C22—1664no—
617C22—1664no—
618C22C2×#1458176414yes—
619C22#1912821414yes—
620C22#1912827414yes—
621C22#1912835814yes—
622C22#1912836214yes—
623C22#1912838514yes—
624C22#1912839314yes—
625C22C22×D4×D8311yescharacteristic
626C22C23×C22⋊D8311yescharacteristic
627C22C2×#41×D8311yescharacteristic
628C22C22×#1305058911yescharacteristic
629C22C22×#1305059111yescharacteristic
630C22C2×#1458183911yescharacteristic
631C22C2×#1458184011yescharacteristic
632C4—28no—
633C4—44no—
634C4—42no—
635C4—3324no—
636C4—3322no—
637C4—3324no—
638C4—1664no—
639C4—1664no—
640C4C2×#1458176418yes—
641C2—44no—
642C2—3324no—
643C2#2491237018yesdirect product factor
644C2C22×#1458176411yescharacteristic
645C2C2×#1912821411yescharacteristic
646C2C2×#1912827411yescharacteristic
647C2C2×#1912835811yescharacteristic
648C2C2×#1912836211yescharacteristic
649C2C2×#1912838511yescharacteristic
650C2C2×#1912839311yescharacteristic
subgroupG/H
centerC24C23×D83
commutator, cosocleC23×C83C25
FrattiniC23C24×D83
FittingC22×C22⋊Q8×C83C2
socleC24×C83C24
prime radicalC23×C22⋊D83C22
hypercenterC22×C22⋊Q8D83
hypocenterC83C2×#2536
LCSG ▷ C23×C83 ▷ C83
UCSC1 ◁ C24 ◁ C22×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C22×#14581768C2semidirect
2. C22×Q8×Dic83C2semidirect
4. #24912370C2direct (N × H)
5. C2×#19127634C2semidirect
7. C2×#19127595C2semidirect
8. C2×#19127591C2semidirect
9. C2×#19127566C2semidirect
10. C2×#19127561C2semidirect
11. C2×#19127558C2semidirect
12. C22×C22⋊Q8×C83C2semidirect
16. C2×#14581768C22semidirect
18. C2×Q8×Dic83C22semidirect
33. #19127634C22semidirect
35. #19127595C22semidirect
36. #19127591C22semidirect
37. #19127566C22semidirect
38. #19127561C22semidirect
39. #19127558C22semidirect
47. C2×C22⋊Q8×C83C22semidirect
99. C22×Q8×C83D4semidirect
176. C2×Q8×C83C2×D4semidirect
317. C2×C83#2536semidirect
327. C22×C22⋊Q8D83semidirect
338. C83C2×#2536semidirect
346. C2×C22⋊Q8C2×D83semidirect
381. C22×Q8C22⋊D83semidirect
462. C2×Q8C2×C22⋊D83semidirect
643. C2#24912370direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#145817682
C22×Q8×Dic832
C22×C4×C22⋊D832
#249123702
C2×#191276342
C2×#191276172
C2×#191275952
C2×#191275912
C2×#191275662
C2×#191275612
C2×#191275582
C22×C22⋊Q8×C832
C2×#253683