Finite Group Databasebeta

← C2×#20246956 #26384533

Subgroups — C2×#20246956 #26384533

Order 12032.

3678 conjugacy classes of subgroups.

The subgroup lattice has 656 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×#13094013C211yesmaximal, characteristic, complemented
2C22×#13093998C211yesmaximal, characteristic
3C22×Q8×Dic47C211yesmaximal, characteristic, complemented
4#20246956C2116yesmaximal, direct product factor
5C2×#15689045C212yesmaximal, complemented
6C2×#15689039C212yesmaximal, complemented
7C2×#15689024C211yesmaximal, characteristic, complemented
8C2×#15689023C212yesmaximal, complemented
9C2×#15689019C211yesmaximal, characteristic, complemented
10C2×#15689013C212yesmaximal, complemented
11C2×C4×C22⋊Dic47C211yesmaximal, characteristic, complemented
12C22×C22⋊Q8×C47C211yesmaximal, characteristic, complemented
13C23×D188C2211yescharacteristic
14C23×C22⋊D47C2212yes—
15C2×#13094013—28no—
16C2×#13094013C2218yescomplemented
17C2×#13093998—28no—
18C2×#13093998C2218yes—
19C2×Q8×Dic47—28no—
20C2×Q8×Dic47C2218yescomplemented
21C22×C4⋊Dic47C2212yes—
22C22×C4⋊Dic47C2211yescharacteristic
23C22×Dic47⋊C4C2212yes—
24C22×C22⋊Dic47C2211yescharacteristic
25C22×C22⋊Dic47C2211yescharacteristic
26C22×(C2×D47)⋊C4C2212yes—
27C22×(C2×D47)⋊C4C2212yes—
28C22×(C2×D47)⋊C4C2212yes—
29C22×(C2×D47)⋊C4C2212yes—
30C22×(C2×D47)⋊C4C2212yes—
31C22×C4×Dic47C2212yes—
32C22×C4×Dic47C2211yescharacteristic
33C22×C4×Dic47C2211yescharacteristic
34#15689045C22116yescomplemented
35#15689039C22116yescomplemented
36#15689024C2218yescomplemented
37#15689023C22116yescomplemented
38#15689019C2218yescomplemented
39#15689013C22116yescomplemented
40C4×C22⋊Dic47C2218yescomplemented
41C2×C47⋊#95C2211yescharacteristic
42C2×C47⋊#95C2212yes—
43C2×C47⋊#95C2211yescharacteristic
44C23×Q8×C47C2211yescharacteristic
45C24×C4×C47C2211yescharacteristic
46C2×C22⋊Q8×C47—28no—
47C2×C22⋊Q8×C47C2218yescomplemented
48C22×C4⋊C4×C47C2212yes—
49C22×C4⋊C4×C47C2211yescharacteristic
50C22×C22⋊C4×C47C2212yes—
51C24×D47C2312yes—
52C22×D188—24no—
53C22×D188—24no—
54C22×D188—24no—
55C22×D188C2314yes—
56C22×C22⋊D47—28no—
57C22×C22⋊D47—28no—
58C22×C22⋊D47—44no—
59C22×C22⋊D47C2318yes—
60C23×Dic47C2311yescharacteristic
61C23×Dic47C2311yescharacteristic
62C23×Dic47C2311yescharacteristic
63C23×Dic47C2312yes—
64C23×Dic47C2311yescharacteristic
65#13094013—232no—
66#13093998—232no—
67Q8×Dic47—232no—
68C2×C4⋊Dic47—28no—
69C2×C4⋊Dic47D418yes—
70C2×C4⋊Dic47C2318yes—
71C2×C4⋊Dic47C2314yes—
72C2×Dic47⋊C4—44no—
73C2×Dic47⋊C4C2318yes—
74C2×C22⋊Dic47—24no—
75C2×C22⋊Dic47—24no—
76C2×C22⋊Dic47C2314yes—
77C2×C22⋊Dic47C2314yes—
78C2×(C2×D47)⋊C4—28no—
79C2×(C2×D47)⋊C4—28no—
80C2×(C2×D47)⋊C4—28no—
81C2×(C2×D47)⋊C4—28no—
82C2×(C2×D47)⋊C4—44no—
83C2×(C2×D47)⋊C4C2318yes—
84C2×(C2×D47)⋊C4C2318yes—
85C2×(C2×D47)⋊C4C2318yes—
86C2×(C2×D47)⋊C4C2318yes—
87C2×(C2×D47)⋊C4C2318yes—
88C2×C4×Dic47—24no—
89C2×C4×Dic47—24no—
90C2×C4×Dic47—28no—
91C2×C4×Dic47C2314yes—
92C2×C4×Dic47C2314yes—
93C2×C4×Dic47C2318yes—
94C47⋊#95C2314yes—
95C47⋊#95C2314yes—
96C47⋊#95C2318yes—
97C25×C47C2311yescharacteristic
98C22×Q8×C47—24no—
99C22×Q8×C47—24no—
100C22×Q8×C47D418yescomplemented
101C22×Q8×C47C2314yes—
102C23×C4×C47—24no—
103C23×C4×C47—24no—
104C23×C4×C47—24no—
105C23×C4×C47C2311yescharacteristic
106C23×C4×C47C2312yes—
107C23×C4×C47C2314yes—
108C23×C4×C47C2312yes—
109C23×C4×C47C2311yescharacteristic
110C22⋊Q8×C47—232no—
111C2×C4⋊C4×C47—24no—
112C2×C4⋊C4×C47—28no—
113C2×C4⋊C4×C47C2318yes—
114C2×C4⋊C4×C47C2314yes—
115C2×C22⋊C4×C47—28no—
116C2×C22⋊C4×C47C2318yes—
117C24×C47—22no—
118C24×C47—22no—
119C24×C47—22no—
120C24×C47—22no—
121C24×C47—22no—
122C24×C47—22no—
123C24×C47#4114yes—
124C24×C47C2412yes—
125C24×C47C2411yescharacteristic
126C23×D47—24no—
127C23×D47—24no—
128C23×D47—24no—
129C23×D47—24no—
130C23×D47—24no—
131C23×D47—24no—
132C23×D47—24no—
133C23×D47C2414yes—
134C2×Q8×C47—232no—
135C2×Q8×C47—28no—
136C2×Q8×C47—28no—
137C2×Q8×C47C2×D4116yescomplemented
138C22×C4×C47—24no—
139C22×C4×C47—24no—
140C22×C4×C47—24no—
141C22×C4×C47—22no—
142C22×C4×C47—22no—
143C22×C4×C47—22no—
144C22×C4×C47—24no—
145C22×C4×C47—24no—
146C22×C4×C47—28no—
147C22×C4×C47—28no—
148C22×C4×C47—28no—
149C22×C4×C47—416no—
150C22×C4×C47C2×D418yes—
151C22×C4×C47C2×D414yes—
152C22×C4×C47C2×D414yes—
153C22×C4×C47#4114yes—
154C22×C4×C47C2414yes—
155C22×C4×C47C2412yes—
156C22×C4×C47C2414yes—
157C22×C4×C47C2412yes—
158C2×C22⋊D47—216no—
159C2×C22⋊D47—216no—
160C2×C22⋊D47—48no—
161C2×C22⋊D47—432no—
162C22×Dic47—22no—
163C22×Dic47—24no—
164C22×Dic47—24no—
165C22×Dic47—22no—
166C22×Dic47—22no—
167C22×Dic47—22no—
168C22×Dic47—22no—
169C22×Dic47—22no—
170C22×Dic47—22no—
171C22×Dic47—22no—
172C22×Dic47—22no—
173C22×Dic47—22no—
174C22×Dic47—22no—
175C22×Dic47C2×D418yes—
176C22×Dic47#4114yes—
177C22×Dic47C2412yes—
178C22×Dic47C2412yes—
179C22×Dic47C2412yes—
180C22×Dic47C2414yes—
181C22×Dic47C2412yes—
182C2×D188—28no—
183C2×D188—28no—
184C2×D188—28no—
185C2×D188—416no—
186C4⋊C4×C47—28no—
187C4⋊C4×C47—216no—
188C22⋊C4×C47—216no—
189C22⋊Dic47—28no—
190C22⋊Dic47—28no—
191(C2×D47)⋊C4—216no—
192(C2×D47)⋊C4—216no—
193(C2×D47)⋊C4—216no—
194(C2×D47)⋊C4—216no—
195(C2×D47)⋊C4—48no—
196C4⋊Dic47—216no—
197C4⋊Dic47C2×D4116yes—
198Dic47⋊C4—48no—
199C4×Dic47—28no—
200C4×Dic47—28no—
201C4×Dic47—216no—
202C23×C47—28no—
203C23×C47—28no—
204C23×C47—28no—
205C23×C47—22no—
206C23×C47—22no—
207C23×C47—22no—
208C23×C47—22no—
209C23×C47—22no—
210C23×C47—22no—
211C23×C47—44no—
212C23×C47—44no—
213C23×C47—44no—
214C23×C47—44no—
215C23×C47C22×D412yes—
216C23×C47C22×D412yes—
217C23×C47C2×#4112yes—
218C23×C47C2×#4112yes—
219C23×C47C2×#4114yes—
220C23×C47C2×#4112yes—
221C23×C47H(5,𝔽2)12yes—
222C23×C472−1+412yes—
223C23×C47C2511yescharacteristic
224C22×D47—24no—
225C22×D47—24no—
226C22×D47—24no—
227C22×D47—24no—
228C22×D47—24no—
229C22×D47—24no—
230C22×D47—24no—
231C22×D47—48no—
232C22×D47—48no—
233C22×D47—48no—
234C22×D47—48no—
235C22×D47—48no—
236C22×D47—48no—
237C22×D47—48no—
238Q8×C47—232no—
239C2×C4×C47—216no—
240C2×C4×C47—24no—
241C2×C4×C47—24no—
242C2×C4×C47—22no—
243C2×C4×C47—24no—
244C2×C4×C47—22no—
245C2×C4×C47—24no—
246C2×C4×C47—22no—
247C2×C4×C47—24no—
248C2×C4×C47—44no—
249C2×C4×C47—48no—
250C2×C4×C47—416no—
251C2×C4×C47#121116yes—
252C2×C4×C47C22×D414yes—
253C2×C4×C47C22×D418yes—
254C2×C4×C47C22×D414yes—
255C2×C4×C47C2×#4114yes—
256C22⋊D47—432no—
257C2×Dic47—216no—
258C2×Dic47—28no—
259C2×Dic47—22no—
260C2×Dic47—24no—
261C2×Dic47—24no—
262C2×Dic47—22no—
263C2×Dic47—22no—
264C2×Dic47—22no—
265C2×Dic47—22no—
266C2×Dic47—22no—
267C2×Dic47—22no—
268C2×Dic47—22no—
269C2×Dic47—22no—
270C2×Dic47—22no—
271C2×Dic47—22no—
272C2×Dic47—44no—
273C2×Dic47—44no—
274C2×Dic47—44no—
275C2×Dic47C22×D418yes—
276C2×Dic47C2×#4114yes—
277D188—416no—
278C2×#2426—471nomaximal, Sylow
279C22×C47—24no—
280C22×C47—24no—
281C22×C47—24no—
282C22×C47—42no—
283C22×C47—416no—
284C22×C47—42no—
285C22×C47—42no—
286C22×C47—42no—
287C22×C47C2×#12114yes—
288C22×C47#52914yes—
289C22×C47#54214yes—
290C22×C47#54614yes—
291C22×C47#54814yes—
292C22×C47#54814yes—
293C22×C47#55014yes—
294C22×C47C23×D411yescharacteristic
295C22×C47C23×D411yescharacteristic
296C22×C47C22×#4111yescharacteristic
297C22×C47C22×#4111yescharacteristic
298C22×C47C22×#4111yescharacteristic
299C22×C47C2×H(5,𝔽2)11yescharacteristic
300C22×C47C2×2−1+411yescharacteristic
301C2×D47—44no—
302C2×D47—44no—
303C2×D47—44no—
304C2×D47—44no—
305C2×D47—44no—
306C2×D47—44no—
307C2×D47—44no—
308C2×D47—816no—
309C4×C47—28no—
310C4×C47—42no—
311C4×C47—44no—
312C4×C47C2×#12118yes—
313Dic47—28no—
314Dic47—24no—
315Dic47—42no—
316Dic47—42no—
317Dic47—42no—
318C22×#124—471no—
319C22×C22⋊Q8D4711yescharacteristic, complemented
320C22×#121—471no—
321C22×C4×Q8—471no—
322#2426—4716no—
323C2×#396—472no—
324C2×#394—472no—
325C2×#390—471no—
326C2×#390—472no—
327C2×#389—471no—
328C2×#388—472no—
329C2×C4×C22⋊C4—471no—
330C2×C47—44no—
331C2×C47#242618yescomplemented
332C2×C47C22×#12111yescharacteristic
333C2×C47C2×#52911yescharacteristic
334C2×C47C2×#54211yescharacteristic
335C2×C47C2×#54611yescharacteristic
336C2×C47C2×#54811yescharacteristic
337C2×C47C2×#54811yescharacteristic
338C2×C47C2×#55011yescharacteristic
339D47—84no—
340C23×Q8C2×D4711yescharacteristic
341C23×D4—472no—
342C23×D4—471no—
343C24×C4C2×D4711yescharacteristic
344C2×#124—478no—
345C2×#124—948no—
346C2×C22⋊Q8—28no—
347C2×C22⋊Q8C2×D4718yescomplemented
348C2×#121—478no—
349C2×#121—948no—
350C2×C4×Q8—478no—
351C2×C4×Q8—948no—
352C22×C4⋊C4—471no—
353C22×C4⋊C4—472no—
354C22×C4⋊C4—472no—
355C22×C4⋊C4C2×D4712yes—
356C22×C4⋊C4C2×D4711yescharacteristic
357C22×C22⋊C4—471no—
358C22×C22⋊C4—471no—
359C22×C22⋊C4—472no—
360C22×C22⋊C4—472no—
361C22×C22⋊C4—472no—
362C22×C22⋊C4—472no—
363C22×C22⋊C4—472no—
364C22×C22⋊C4C2×D4712yes—
365C22×C42—471no—
366C22×C42—472no—
367C22×C42—471no—
368#396—4716no—
369#394—4716no—
370#390—478no—
371#390—4716no—
372#389—478no—
373#388—4716no—
374C4×C22⋊C4—478no—
375C2×#95—472no—
376C2×#95—471no—
377C2×#95—471no—
378C47C2×#242611yescharacteristic, complemented, Sylow
379C25—472no—
380C25C22×D4711yescharacteristic
381C22×Q8—24no—
382C22×Q8—24no—
383C22×Q8C22⋊D4718yescomplemented
384C22×Q8C22×D4714yes—
385C22×D4—478no—
386C22×D4—474no—
387C22×D4—948no—
388C22×D4—948no—
389C22×D4—944no—
390C22×D4—944no—
391C22×D4—944no—
392C22×D4—1884no—
393C23×C4—24no—
394C23×C4—24no—
395C23×C4—24no—
396C23×C4—471no—
397C23×C4—472no—
398C23×C4—471no—
399C23×C4—471no—
400C23×C4—471no—
401C23×C4C22×D4714yes—
402C23×C4C22×D4712yes—
403C23×C4C22×D4711yescharacteristic
404C23×C4C22×D4712yes—
405C23×C4C22×D4711yescharacteristic
406#124—9432no—
407C22⋊Q8—232no—
408#121—9432no—
409C4×Q8—9432no—
410C2×C4⋊C4—24no—
411C2×C4⋊C4—28no—
412C2×C4⋊C4—478no—
413C2×C4⋊C4—474no—
414C2×C4⋊C4—478no—
415C2×C4⋊C4—478no—
416C2×C4⋊C4—948no—
417C2×C4⋊C4—1884no—
418C2×C4⋊C4C22×D4718yes—
419C2×C4⋊C4C22×D4714yes—
420C2×C22⋊C4—28no—
421C2×C22⋊C4—474no—
422C2×C22⋊C4—474no—
423C2×C22⋊C4—478no—
424C2×C22⋊C4—478no—
425C2×C22⋊C4—478no—
426C2×C22⋊C4—478no—
427C2×C22⋊C4—478no—
428C2×C22⋊C4—948no—
429C2×C22⋊C4—948no—
430C2×C22⋊C4—944no—
431C2×C22⋊C4—944no—
432C2×C22⋊C4—948no—
433C2×C22⋊C4—948no—
434C2×C22⋊C4—1884no—
435C2×C22⋊C4C22×D4718yes—
436C2×C42—474no—
437C2×C42—478no—
438C2×C42—474no—
439C2×C42—948no—
440C2×C42—944no—
441C2×C42—944no—
442#95—474no—
443#95—474no—
444#95—478no—
445C24—22no—
446C24—22no—
447C24—22no—
448C24—22no—
449C24—22no—
450C24—22no—
451C24—474no—
452C24—944no—
453C24—944no—
454C24—944no—
455C24—944no—
456C24—944no—
457C24—944no—
458C24—944no—
459C24#1062535414yes—
460C24C23×D4712yes—
461C24C23×D4711yescharacteristic
462C2×Q8—232no—
463C2×Q8—28no—
464C2×Q8—28no—
465C2×Q8C2×C22⋊D47116yescomplemented
466C2×D4—9416no—
467C2×D4—9416no—
468C2×D4—948no—
469C2×D4—948no—
470C2×D4—948no—
471C2×D4—1888no—
472C2×D4—18832no—
473C2×D4—18816no—
474C22×C4—24no—
475C22×C4—24no—
476C22×C4—22no—
477C22×C4—24no—
478C22×C4—22no—
479C22×C4—24no—
480C22×C4—22no—
481C22×C4—24no—
482C22×C4—28no—
483C22×C4—28no—
484C22×C4—28no—
485C22×C4—416no—
486C22×C4—478no—
487C22×C4—474no—
488C22×C4—472no—
489C22×C4—474no—
490C22×C4—472no—
491C22×C4—472no—
492C22×C4—472no—
493C22×C4—942no—
494C22×C4—944no—
495C22×C4—944no—
496C22×C4—942no—
497C22×C4—942no—
498C22×C4—942no—
499C22×C4—942no—
500C22×C4—942no—
501C22×C4—942no—
502C22×C4—942no—
503C22×C4—942no—
504C22×C4—942no—
505C22×C4—942no—
506C22×C4D4×D4714yes—
507C22×C4#1062535214yes—
508C22×C4C2×C22⋊D4718yes—
509C22×C4C2×C22⋊D4714yes—
510C22×C4C23×D4712yes—
511C22×C4C23×D4714yes—
512C22×C4C23×D4714yes—
513C22×C4C23×D4712yes—
514C4⋊C4—28no—
515C4⋊C4—216no—
516C4⋊C4—4716no—
517C4⋊C4—9416no—
518C4⋊C4—1888no—
519C22⋊C4—216no—
520C22⋊C4—9416no—
521C22⋊C4—9416no—
522C22⋊C4—948no—
523C22⋊C4—948no—
524C22⋊C4—9416no—
525C22⋊C4—9416no—
526C22⋊C4—1888no—
527C42—9416no—
528C42—948no—
529C42—948no—
530C23—28no—
531C23—28no—
532C23—28no—
533C23—22no—
534C23—22no—
535C23—22no—
536C23—22no—
537C23—22no—
538C23—22no—
539C23—44no—
540C23—44no—
541C23—44no—
542C23—44no—
543C23—944no—
544C23—944no—
545C23—944no—
546C23—944no—
547C23—944no—
548C23—944no—
549C23—944no—
550C23—1888no—
551C23—1888no—
552C23—1888no—
553C23—1888no—
554C23—1888no—
555C23—1888no—
556C23—1888no—
557C23C2×D4×D4712yes—
558C23C22×C22⋊D4712yes—
559C23#41×D4712yes—
560C23C2×#1062535212yes—
561C23C2×#1062535414yes—
562C23C2×#1062535412yes—
563C23#1309407012yes—
564C23#1309407212yes—
565C23C24×D4711yescharacteristic
566Q8—232no—
567D4—18832no—
568D4—18816no—
569C2×C4—216no—
570C2×C4—24no—
571C2×C4—24no—
572C2×C4—22no—
573C2×C4—24no—
574C2×C4—22no—
575C2×C4—24no—
576C2×C4—22no—
577C2×C4—24no—
578C2×C4—48no—
579C2×C4—44no—
580C2×C4—416no—
581C2×C4—478no—
582C2×C4—474no—
583C2×C4—9416no—
584C2×C4—948no—
585C2×C4—942no—
586C2×C4—944no—
587C2×C4—944no—
588C2×C4—942no—
589C2×C4—942no—
590C2×C4—942no—
591C2×C4—942no—
592C2×C4—942no—
593C2×C4—942no—
594C2×C4—942no—
595C2×C4—942no—
596C2×C4—942no—
597C2×C4—942no—
598C2×C4—1884no—
599C2×C4—1884no—
600C2×C4—1884no—
601C2×C4#13093996116yes—
602C2×C4C2×D4×D4714yes—
603C2×C4C22×C22⋊D4718yes—
604C2×C4C22×C22⋊D4714yes—
605C2×C4C2×#1062535214yes—
606C22—24no—
607C22—24no—
608C22—24no—
609C22—42no—
610C22—42no—
611C22—42no—
612C22—42no—
613C22—416no—
614C22—37616no—
615C22—1884no—
616C22—1884no—
617C22—1884no—
618C22—1884no—
619C22—1884no—
620C22—1884no—
621C22—1884no—
622C22C2×#1309399614yes—
623C22#1568965914yes—
624C22#1568974614yes—
625C22#1568976414yes—
626C22#1568978314yes—
627C22#1568978414yes—
628C22#1568979214yes—
629C22C22×D4×D4711yescharacteristic
630C22C23×C22⋊D4711yescharacteristic
631C22C2×#41×D4711yescharacteristic
632C22C22×#1062535211yescharacteristic
633C22C22×#1062535411yescharacteristic
634C22C2×#1309407011yescharacteristic
635C22C2×#1309407211yescharacteristic
636C4—28no—
637C4—42no—
638C4—44no—
639C4—948no—
640C4—944no—
641C4—1882no—
642C4—1882no—
643C4—1882no—
644C4C2×#1309399618yes—
645C2—44no—
646C2—3764no—
647C2#2024695618yesdirect product factor
648C2C22×#1309399611yescharacteristic
649C2C2×#1568965911yescharacteristic
650C2C2×#1568974611yescharacteristic
651C2C2×#1568976411yescharacteristic
652C2C2×#1568978311yescharacteristic
653C2C2×#1568978411yescharacteristic
654C2C2×#1568979211yescharacteristic
subgroupG/H
centerC24C23×D47
commutator, cosocleC23×C47C25
FrattiniC23C24×D47
FittingC22×C22⋊Q8×C47C2
socleC24×C47C24
prime radicalC22×#13093998C2
hypercenterC22×C22⋊Q8D47
hypocenterC47C2×#2426
LCSG ▷ C23×C47 ▷ C47
UCSC1 ◁ C24 ◁ C22×C22⋊Q8

Complements

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

NH ≅ G/Ntype
1. C22×#13094013C2semidirect
3. C22×Q8×Dic47C2semidirect
4. #20246956C2direct (N × H)
5. C2×#15689045C2semidirect
6. C2×#15689039C2semidirect
7. C2×#15689024C2semidirect
8. C2×#15689023C2semidirect
9. C2×#15689019C2semidirect
10. C2×#15689013C2semidirect
11. C2×C4×C22⋊Dic47C2semidirect
12. C22×C22⋊Q8×C47C2semidirect
16. C2×#13094013C22semidirect
20. C2×Q8×Dic47C22semidirect
34. #15689045C22semidirect
35. #15689039C22semidirect
36. #15689024C22semidirect
37. #15689023C22semidirect
38. #15689019C22semidirect
39. #15689013C22semidirect
40. C4×C22⋊Dic47C22semidirect
47. C2×C22⋊Q8×C47C22semidirect
100. C22×Q8×C47D4semidirect
137. C2×Q8×C47C2×D4semidirect
319. C22×C22⋊Q8D47semidirect
331. C2×C47#2426semidirect
347. C2×C22⋊Q8C2×D47semidirect
378. C47C2×#2426semidirect
383. C22×Q8C22⋊D47semidirect
465. C2×Q8C2×C22⋊D47semidirect
647. C2#20246956direct (N × H)

Maximal subgroups

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

subgroupindex
C22×#130940132
C22×#130939982
C22×Q8×Dic472
#202469562
C2×#156890452
C2×#156890392
C2×#156890242
C2×#156890232
C2×#156890192
C2×#156890132
C2×C4×C22⋊Dic472
C22×C22⋊Q8×C472
C2×#242647