Finite Group Databasebeta

← C4×#10623252 #14913765

Subgroups — C4×#10623252 #14913765

Order 2816.

2220 conjugacy classes of subgroups.

The subgroup lattice has 650 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#10623252C211yesmaximal, characteristic
2#13071715C214yesmaximal
3#13071711C212yesmaximal
4#13071676C211yesmaximal, characteristic
5#13071673C212yesmaximal
6#13071575C211yesmaximal, characteristic
7#13071572C212yesmaximal
8#13071535C212yesmaximal
9#13071528C211yesmaximal, characteristic
10C4×#66997C212yesmaximal
11C4×#66943C212yesmaximal
12C4×#66942C214yesmaximal
13C4×Q8×Dic11C212yesmaximal
14C42×Dic22C211yesmaximal, characteristic
15C42×Dic22C211yesmaximal, characteristic
16C4×#66940C212yesmaximal
17C4×C11×C4⋊Q8C211yesmaximal, characteristic
18C2×C11×C4⋊Q8C2211yescharacteristic
19C2×C4×Q8×C11C2212yes—
20C2×Q8×Dic11C2212yes—
21C2×Q8×Dic11C2212yes—
22C2×#66997C2212yes—
23#10623252C4116yesdirect product factor
24C2×#66943C2212yes—
25C2×#66942C2214yes—
26C2×#66940C2212yes—
27C2×#66940C2212yes—
28C2×C4×Dic22C2211yescharacteristic
29C2×C4×Dic22C2211yescharacteristic
30C2×C4×Dic22C2211yescharacteristic
31C2×C4×Dic22C2211yescharacteristic
32C2×C4×Dic22C2211yescharacteristic
33C2×C4×Dic22C2211yescharacteristic
34C11×#391C2212yes—
35C11×#389C2212yes—
36C11×#389C2212yes—
37C11×#384C2211yescharacteristic
38C4×C11×C4⋊C4C2212yes—
39C4×C11×C4⋊C4C2212yes—
40C43×C11C2211yescharacteristic
41#10622843C2212yes—
42#10622598C2212yes—
43#10622594C2214yes—
44#10622591C2214yes—
45#10622590C2212yes—
46#10622589C2212yes—
47C4⋊C4×Dic11C2212yes—
48C4⋊C4×Dic11C2212yes—
49C4⋊C4×Dic11C2214yes—
50C4⋊C4×Dic11C2212yes—
51C4⋊C4×Dic11C2214yes—
52C4⋊C4×Dic11C2212yes—
53#10622587C2212yes—
54#10622586C2212yes—
55#10622585C2214yes—
56#10622585C2214yes—
57#10622585C2214yes—
58C4×C4⋊Dic11C2211yescharacteristic
59C4×C4⋊Dic11C2211yescharacteristic
60C4×C4⋊Dic11C2214yes—
61C4×C4⋊Dic11C2211yescharacteristic
62C4×C4⋊Dic11C2211yescharacteristic
63C4×C4⋊Dic11C2211yescharacteristic
64C4×C4⋊Dic11C2211yescharacteristic
65C4×Dic11⋊C4C2212yes—
66C4×Dic11⋊C4C2212yes—
67C4×Dic11⋊C4C2212yes—
68C4×Dic11⋊C4C2214yes—
69C4×Dic11⋊C4C2214yes—
70C4×Dic11⋊C4C2212yes—
71C4×Dic11⋊C4C2212yes—
72C4×Dic11⋊C4C2212yes—
73C42×Dic11C2214yes—
74C42×Dic11C2212yes—
75C42×Dic11C2212yes—
76#10622268C2214yes—
77#10622267C2214yes—
78#10622266C2214yes—
79#10622265C2214yes—
80#10622263C2214yes—
81#10622262C2214yes—
82#10622262C2214yes—
83#10622260C2214yes—
84C22×Q8×C11C2312yes—
85C22×Dic22C2311yescharacteristic
86C22×Dic22C2311yescharacteristic
87C11×C4⋊Q8C2×C418yes—
88C4×Q8×C11—28no—
89C2×C11×C4⋊C4C2312yes—
90C2×C11×C4⋊C4C2314yes—
91C2×C11×C4⋊C4C2312yes—
92C2×C11×C4⋊C4C2312yes—
93C2×C11×C4⋊C4C2312yes—
94C2×C11×C4⋊C4C2312yes—
95C2×C42×C11C2311yescharacteristic
96C2×C42×C11C2311yescharacteristic
97C2×C42×C11C2314yes—
98C2×C42×C11C2311yescharacteristic
99C2×C42×C11C2311yescharacteristic
100C2×C42×C11C2311yescharacteristic
101C2×C42×C11C2311yescharacteristic
102C2×C42×C11C2311yescharacteristic
103Q8×Dic11—28no—
104Q8×Dic11C2×C4116yes—
105#66997C2×C4116yes—
106C2×C4⋊Dic11C2311yescharacteristic
107C2×C4⋊Dic11C2311yescharacteristic
108C2×C4⋊Dic11C2314yes—
109C2×C4⋊Dic11C2311yescharacteristic
110C2×C4⋊Dic11C2311yescharacteristic
111C2×C4⋊Dic11C2314yes—
112C2×C4⋊Dic11C2311yescharacteristic
113C2×C4⋊Dic11C2311yescharacteristic
114C2×Dic11⋊C4C2312yes—
115C2×Dic11⋊C4C2312yes—
116C2×Dic11⋊C4C2312yes—
117C2×Dic11⋊C4C2314yes—
118C2×Dic11⋊C4C2314yes—
119C2×Dic11⋊C4C2312yes—
120C2×Dic11⋊C4C2312yes—
121C2×Dic11⋊C4C2314yes—
122C2×Dic11⋊C4C2314yes—
123C2×Dic11⋊C4C2312yes—
124C2×C4×Dic11C2312yes—
125C2×C4×Dic11C2312yes—
126C2×C4×Dic11C2312yes—
127C2×C4×Dic11C2314yes—
128C2×C4×Dic11C2312yes—
129C2×C4×Dic11C2314yes—
130C2×C4×Dic11C2312yes—
131C2×C4×Dic11C2312yes—
132C2×C4×Dic11C2312yes—
133C2×C4×Dic11C2312yes—
134C2×C4×Dic11C2314yes—
135C2×C4×Dic11C2312yes—
136C2×C4×Dic11C2312yes—
137C2×C4×Dic11C2312yes—
138C2×C4×Dic11C2314yes—
139C2×C4×Dic11C2312yes—
140#66943C2×C4116yes—
141#66942C2×C4132yes—
142#66940—28no—
143#66940C2×C4116yes—
144C4×Dic22—24no—
145C4×Dic22—24no—
146C4×Dic22—24no—
147C4×Dic22C2×C418yes—
148C4×Dic22C2×C418yes—
149C4×Dic22Q818yescomplemented
150C11×#95C2314yes—
151C11×#95C2314yes—
152C11⋊#95C2314yes—
153C11⋊#95C2314yes—
154C11⋊#95C2314yes—
155C11⋊#95C2312yes—
156C11⋊#95C2314yes—
157C11⋊#95C2314yes—
158C11⋊#95C2312yes—
159C11⋊#95C2314yes—
160C11⋊#95C2312yes—
161C11⋊#95C2312yes—
162C11⋊#95C2312yes—
163C11⋊#95C2312yes—
164C4×#557—111nomaximal, Sylow
165C2×Q8×C11—24no—
166C2×Q8×C11—24no—
167C2×Q8×C11C22×C418yes—
168C22×C4×C11C2411yescharacteristic
169C22×C4×C11C2414yes—
170C22×C4×C11C2411yescharacteristic
171C22×C4×C11C2414yes—
172C22×C4×C11C2411yescharacteristic
173C22×C4×C11C2411yescharacteristic
174C22×C4×C11C2411yescharacteristic
175C22×C4×C11C2411yescharacteristic
176C22×C4×C11C2411yescharacteristic
177C22×Dic11C2412yes—
178C22×Dic11C2412yes—
179C22×Dic11C2412yes—
180C22×Dic11C2412yes—
181C22×Dic11C2412yes—
182C22×Dic11C2412yes—
183C22×Dic11C2412yes—
184C22×Dic11C2412yes—
185C2×Dic22—22no—
186C2×Dic22—22no—
187C2×Dic22C22×C414yes—
188C2×Dic22C22×C414yes—
189C2×Dic22C2×Q814yes—
190C2×Dic22#4114yes—
191C11×C4⋊C4—24no—
192C11×C4⋊C4—28no—
193C11×C4⋊C4—24no—
194C11×C4⋊C4—42no—
195C11×C4⋊C4C22×C418yes—
196C11×C4⋊C4C22×C418yes—
197C42×C11—22no—
198C42×C11—22no—
199C42×C11—28no—
200C42×C11—22no—
201C42×C11—41no—
202C42×C11C22×C414yes—
203C42×C11C2×Q814yes—
204C42×C11#4114yes—
205C4⋊Dic11—28no—
206C4⋊Dic11—22no—
207C4⋊Dic11—22no—
208C4⋊Dic11C22×C414yes—
209C4⋊Dic11C22×C414yes—
210C4⋊Dic11C22×C4116yes—
211C4⋊Dic11C2×Q814yes—
212C4⋊Dic11#4114yes—
213Dic11⋊C4—24no—
214Dic11⋊C4—24no—
215Dic11⋊C4—28no—
216Dic11⋊C4—24no—
217Dic11⋊C4—44no—
218Dic11⋊C4C22×C418yes—
219Dic11⋊C4C22×C418yes—
220Dic11⋊C4C22×C4116yes—
221Dic11⋊C4C22×C4116yes—
222Dic11⋊C4C2×Q818yes—
223C4×Dic11—24no—
224C4×Dic11—24no—
225C4×Dic11—28no—
226C4×Dic11—28no—
227C4×Dic11—24no—
228C4×Dic11—24no—
229C4×Dic11—24no—
230C4×Dic11—24no—
231C4×Dic11—24no—
232C4×Dic11—42no—
233C4×Dic11—42no—
234C4×Dic11—44no—
235C4×Dic11C22×C418yes—
236C4×Dic11C22×C418yes—
237C4×Dic11C22×C4116yes—
238C4×Dic11C2×Q818yes—
239C2×#557—111no—
240#2370—112no—
241#2370—114no—
242#2365—112no—
243#2365—111no—
244#2355—112no—
245#2355—111no—
246#2351—112no—
247Q8×C4⋊C4—111no—
248C4×C4⋊Q8—112no—
249C4×C4⋊Q8D1111yescharacteristic
250C4×#125—114no—
251C4×#125—112no—
252C42×Q8—112no—
253C42×Q8—111no—
254C42×Q8—111no—
255C42×Q8—112no—
256C23×C11C2511yescharacteristic
257Q8×C11—216no—
258C2×C4×C11—21no—
259C2×C4×C11—21no—
260C2×C4×C11—24no—
261C2×C4×C11—24no—
262C2×C4×C11—21no—
263C2×C4×C11—21no—
264C2×C4×C11—21no—
265C2×C4×C11—21no—
266C2×C4×C11—24no—
267C2×C4×C11—21no—
268C2×C4×C11—21no—
269C2×C4×C11—24no—
270C2×C4×C11—21no—
271C2×C4×C11—24no—
272C2×C4×C11C23×C418yes—
273C2×C4×C11C23×C412yes—
274C2×C4×C11C23×C412yes—
275C2×C4×C11C23×C412yes—
276C2×C4×C11C22×Q812yes—
277C2×C4×C11C22×Q812yes—
278C2×C4×C11C22×Q812yes—
279C2×C4×C11C2×#4112yes—
280C2×C4×C11C2×#4112yes—
281C2×C4×C11C2×#4112yes—
282C2×C4×C11C2×#4112yes—
283C2×C4×C11C2×#4112yes—
284C2×C4×C112−1+412yes—
285C2×Dic11—22no—
286C2×Dic11—22no—
287C2×Dic11—22no—
288C2×Dic11—22no—
289C2×Dic11—22no—
290C2×Dic11—22no—
291C2×Dic11—22no—
292C2×Dic11—22no—
293C2×Dic11—22no—
294C2×Dic11—22no—
295C2×Dic11—22no—
296C2×Dic11—22no—
297C2×Dic11—22no—
298C2×Dic11—22no—
299C2×Dic11—22no—
300C2×Dic11—22no—
301C2×Dic11C23×C414yes—
302C2×Dic11C23×C414yes—
303C2×Dic11C23×C414yes—
304C2×Dic11C23×C414yes—
305C2×Dic11C22×Q814yes—
306C2×Dic11C22×Q814yes—
307C2×Dic11C2×#4114yes—
308C2×Dic11C2×#4114yes—
309Dic22—28no—
310Dic22C4×Q8116yescomplemented
311#557—1116no—
312C2×C4⋊Q8—112no—
313C2×C4⋊Q8C2×D1111yescharacteristic
314C2×#125—114no—
315C2×#125—112no—
316C2×C4×Q8—112no—
317C2×C4×Q8—112no—
318C2×C4×Q8—112no—
319C2×C4×Q8—112no—
320C2×C4×Q8—111no—
321C2×C4×Q8—111no—
322C2×C4×Q8—111no—
323C2×C4×Q8—111no—
324C2×C4×Q8—111no—
325C2×C4×Q8—111no—
326C2×C4×Q8C2×D1112yes—
327#391—112no—
328#391—112no—
329#391C2×D1112yes—
330#389—114no—
331#389—112no—
332#389—112no—
333#389—114no—
334#389—114no—
335#389—114no—
336#389C2×D1112yes—
337#389C2×D1112yes—
338#387—114no—
339#387—114no—
340#387—114no—
341#387—114no—
342#387—114no—
343#387—114no—
344#384—112no—
345#384C2×D1111yescharacteristic
346#382—112no—
347#382—114no—
348C4×C4⋊C4—112no—
349C4×C4⋊C4—114no—
350C4×C4⋊C4—112no—
351C4×C4⋊C4—112no—
352C4×C4⋊C4—112no—
353C4×C4⋊C4—114no—
354C4×C4⋊C4—114no—
355C4×C4⋊C4—112no—
356C4×C4⋊C4—112no—
357C4×C4⋊C4—114no—
358C4×C4⋊C4—111no—
359C4×C4⋊C4—114no—
360C4×C4⋊C4—111no—
361C4×C4⋊C4—112no—
362C4×C4⋊C4—111no—
363C4×C4⋊C4—112no—
364C4×C4⋊C4—111no—
365C4×C4⋊C4—112no—
366C4×C4⋊C4—112no—
367C4×C4⋊C4—111no—
368C4×C4⋊C4—111no—
369C4×C4⋊C4—114no—
370C4×C4⋊C4—114no—
371C4×C4⋊C4C2×D1112yes—
372C4×C4⋊C4C2×D1112yes—
373C43—114no—
374C43—112no—
375C43—112no—
376C43C2×D1111yescharacteristic
377C22×C11C24×C411yescharacteristic
378C22×C11C23×Q811yescharacteristic
379C22×C11C22×#4111yescharacteristic
380C22×C11C22×#4111yescharacteristic
381C22×C11C22×#4111yescharacteristic
382C22×C11C2×2−1+411yescharacteristic
383C22×C11#58511yescharacteristic
384C4×C11—28no—
385C4×C11—22no—
386C4×C11—22no—
387C4×C11—22no—
388C4×C11—44no—
389C4×C11—41no—
390C4×C11C2×C4×Q814yes—
391C4×C11C4×#4114yes—
392C4×C11#55714yescomplemented
393Dic11—24no—
394Dic11—24no—
395Dic11—24no—
396Dic11—24no—
397Dic11—24no—
398Dic11—42no—
399Dic11—42no—
400Dic11C2×C4×Q818yes—
401C22×Q8—111no—
402C22×Q8—111no—
403C22×Q8C22×D1112yes—
404C4⋊Q8—1116no—
405C4⋊Q8C4×D1118yes—
406#125—1132no—
407#125—1116no—
408C4×Q8—28no—
409C4×Q8—1116no—
410C4×Q8—1116no—
411C4×Q8—118no—
412C4×Q8—118no—
413C4×Q8—118no—
414C4×Q8—224no—
415C4×Q8—224no—
416C4×Q8—228no—
417C4×Q8—228no—
418C4×Q8—224no—
419C2×C4⋊C4—111no—
420C2×C4⋊C4—111no—
421C2×C4⋊C4—112no—
422C2×C4⋊C4—114no—
423C2×C4⋊C4—112no—
424C2×C4⋊C4—111no—
425C2×C4⋊C4—114no—
426C2×C4⋊C4—112no—
427C2×C4⋊C4—111no—
428C2×C4⋊C4—114no—
429C2×C4⋊C4—112no—
430C2×C4⋊C4—111no—
431C2×C4⋊C4—114no—
432C2×C4⋊C4—111no—
433C2×C4⋊C4—112no—
434C2×C4⋊C4—114no—
435C2×C4⋊C4—112no—
436C2×C4⋊C4—114no—
437C2×C4⋊C4C22×D1112yes—
438C2×C4⋊C4C22×D1112yes—
439C2×C4⋊C4C22×D1114yes—
440C2×C4⋊C4C22×D1112yes—
441C2×C4⋊C4C22×D1112yes—
442C2×C4⋊C4C22×D1112yes—
443C2×C42—114no—
444C2×C42—112no—
445C2×C42—112no—
446C2×C42—112no—
447C2×C42—114no—
448C2×C42—112no—
449C2×C42—114no—
450C2×C42—112no—
451C2×C42—112no—
452C2×C42—112no—
453C2×C42—112no—
454C2×C42—112no—
455C2×C42—112no—
456C2×C42—114no—
457C2×C42—112no—
458C2×C42—112no—
459C2×C42C22×D1111yescharacteristic
460C2×C42C22×D1111yescharacteristic
461C2×C42C22×D1114yes—
462C2×C42C22×D1111yescharacteristic
463C2×C42C22×D1111yescharacteristic
464C2×C42C22×D1111yescharacteristic
465C2×C42C22×D1111yescharacteristic
466C2×C42C22×D1111yescharacteristic
467#95—112no—
468#95—114no—
469#95—112no—
470#95—112no—
471#95—112no—
472#95—112no—
473#95—114no—
474#95—112no—
475#95—114no—
476#95—114no—
477#95—114no—
478#95—114no—
479#95C22×D1114yes—
480#95C22×D1114yes—
481C2×C11C22×C4×Q811yescharacteristic
482C2×C11C2×C4×#4111yescharacteristic
483C2×C11C4×2−1+411yescharacteristic
484C2×C11C2×#55711yescharacteristic
485C2×C11Q8×#4111yescharacteristic
486C2×C11#348011yescharacteristic
487C2×C11#348211yescharacteristic
488C2×Q8—24no—
489C2×Q8—24no—
490C2×Q8—114no—
491C2×Q8—114no—
492C2×Q8—114no—
493C2×Q8—114no—
494C2×Q8—222no—
495C2×Q8—222no—
496C2×Q8C2×C4×D1118yes—
497C22×C4—112no—
498C22×C4—112no—
499C22×C4—112no—
500C22×C4—112no—
501C22×C4—112no—
502C22×C4—112no—
503C22×C4—112no—
504C22×C4—112no—
505C22×C4C23×D1111yescharacteristic
506C22×C4C23×D1114yes—
507C22×C4C23×D1111yescharacteristic
508C22×C4C23×D1114yes—
509C22×C4C23×D1111yescharacteristic
510C22×C4C23×D1111yescharacteristic
511C22×C4C23×D1111yescharacteristic
512C22×C4C23×D1111yescharacteristic
513C22×C4C23×D1111yescharacteristic
514C4⋊C4—28no—
515C4⋊C4—24no—
516C4⋊C4—24no—
517C4⋊C4—42no—
518C4⋊C4—114no—
519C4⋊C4—118no—
520C4⋊C4—118no—
521C4⋊C4—1116no—
522C4⋊C4—114no—
523C4⋊C4—1116no—
524C4⋊C4—1116no—
525C4⋊C4—118no—
526C4⋊C4—114no—
527C4⋊C4—114no—
528C4⋊C4—224no—
529C4⋊C4—224no—
530C4⋊C4—228no—
531C4⋊C4—228no—
532C4⋊C4—224no—
533C4⋊C4—222no—
534C4⋊C4—222no—
535C4⋊C4—444no—
536C4⋊C4C2×C4×D1118yes—
537C4⋊C4C2×C4×D1118yes—
538C42—28no—
539C42—22no—
540C42—22no—
541C42—22no—
542C42—41no—
543C42—1116no—
544C42—118no—
545C42—118no—
546C42—118no—
547C42—224no—
548C42—224no—
549C42—228no—
550C42—228no—
551C42—224no—
552C42—224no—
553C42—224no—
554C42—224no—
555C42—224no—
556C42—442no—
557C42—442no—
558C42—444no—
559C42C2×C4×D1114yes—
560C42#434114yes—
561C42Q8×D1114yes—
562C11C4×#55711yescharacteristic, complemented, Sylow
563C23C24×D1111yescharacteristic
564Q8—216no—
565Q8—1116no—
566Q8—228no—
567C2×C4—24no—
568C2×C4—21no—
569C2×C4—21no—
570C2×C4—21no—
571C2×C4—24no—
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—24no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—21no—
579C2×C4—24no—
580C2×C4—24no—
581C2×C4—114no—
582C2×C4—114no—
583C2×C4—114no—
584C2×C4—114no—
585C2×C4—114no—
586C2×C4—114no—
587C2×C4—114no—
588C2×C4—114no—
589C2×C4—222no—
590C2×C4—222no—
591C2×C4—222no—
592C2×C4—222no—
593C2×C4—222no—
594C2×C4—222no—
595C2×C4—222no—
596C2×C4—222no—
597C2×C4—222no—
598C2×C4—222no—
599C2×C4—222no—
600C2×C4—222no—
601C2×C4—222no—
602C2×C4—222no—
603C2×C4—222no—
604C2×C4—222no—
605C2×C4C22×C4×D1118yes—
606C2×C4C22×C4×D1112yes—
607C2×C4C22×C4×D1112yes—
608C2×C4C22×C4×D1112yes—
609C2×C4C2×#434112yes—
610C2×C4C2×#434112yes—
611C2×C4C2×#434112yes—
612C2×C4C2×Q8×D1112yes—
613C2×C4C2×Q8×D1112yes—
614C2×C4C2×Q8×D1112yes—
615C2×C4#6704012yes—
616C2×C4#41×D1112yes—
617C2×C4#41×D1112yes—
618C22C23×C4×D1111yescharacteristic
619C22C22×#434111yescharacteristic
620C22C22×Q8×D1111yescharacteristic
621C22C2×#6704011yescharacteristic
622C22C2×#41×D1111yescharacteristic
623C22C2×#41×D1111yescharacteristic
624C22#1062345311yescharacteristic
625C4—22no—
626C4—22no—
627C4—28no—
628C4—22no—
629C4—44no—
630C4—41no—
631C4—118no—
632C4—224no—
633C4—224no—
634C4—224no—
635C4—224no—
636C4—224no—
637C4—442no—
638C4—442no—
639C4C4×#434114yes—
640C4C4×Q8×D1114yes—
641C4#1062325214yesdirect product factor
642C2C2×C4×Q8×D1111yescharacteristic
643C2C2×C4×#434111yescharacteristic
644C2C4×#6704011yescharacteristic
645C2C2×#1062325211yescharacteristic
646C2#1308219411yescharacteristic
647C2#1308221311yescharacteristic
648C2#1308223411yescharacteristic
subgroupG/H
centerC22×C4C23×D11
commutatorC22×C11C24×C4
FrattiniC23C24×D11
FittingC4×C11×C4⋊Q8C2
socle, prime radical, cosocleC23×C11C25
hypercenterC4×C4⋊Q8D11
hypocenterC11C4×#557
LCSG ▷ C22×C11 ▷ C11
UCSC1 ◁ C22×C4 ◁ C4×C4⋊Q8

Complements

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

NH ≅ G/Ntype
23. #10623252C4direct (N × H)
149. C4×Dic22Q8semidirect
310. Dic22C4×Q8semidirect
392. C4×C11#557semidirect
562. C11C4×#557semidirect
641. C4#10623252direct (N × H)

Maximal subgroups

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

subgroupindex
C2×#106232522
#130717152
#130717112
#130716762
#130716732
#130715752
#130715722
#130715352
#130715282
C4×#669972
C4×#669432
C4×#669422
C4×Q8×Dic112
C42×Dic222
C4×#669402
C4×C11×C4⋊Q82
C4×#55711