Finite Group Databasebeta

← #27307768

Subgroups — #27307768

Order 13568.

1386 conjugacy classes of subgroups.

The subgroup lattice has 674 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16810519C211yesmaximal, characteristic
2C2×C4×#11719919C211yesmaximal, characteristic
3#20272981C212yesmaximal
4#20272973C212yesmaximal
5#20272948C212yesmaximal
6#20272948C212yesmaximal
7#20272945C211yesmaximal, characteristic
8#20272944C211yesmaximal, characteristic
9#20272944C211yesmaximal, characteristic
10#20272944C211yesmaximal, characteristic
11C2×C4×C4⋊C4×C53C211yesmaximal, characteristic
12C22×C4⋊Dic53C2211yescharacteristic
13C22×C4⋊Dic53C2211yescharacteristic
14C22×#11719919C2211yescharacteristic
15C22×#11719919C2211yescharacteristic
16C22×#11719919C2212yes—
17C22×C4×Dic53C2211yescharacteristic
18C22×C4×Dic53C2211yescharacteristic
19#16810519C418yescomplemented
20C4×#11719919—24no—
21C2×#13133124C2212yes—
22C2×#13133124C2212yes—
23C2×#13133124C2212yes—
24C2×#13133124C2211yescharacteristic
25C2×#13133124C2211yescharacteristic
26C2×#13133124C2212yes—
27C2×#13133124C2212yes—
28C2×#13133124C2212yes—
29C2×#13133124C2212yes—
30C2×#13133124C2212yes—
31C2×#13133124C2212yes—
32C22×C4⋊C4×C53C2211yescharacteristic
33C22×C4⋊C4×C53C2211yescharacteristic
34C22×C42×C53C2211yescharacteristic
35C22×C42×C53C2212yes—
36C4×C4⋊C4×C53—24no—
37C2×#95×C53C2212yes—
38C23×Dic53C2312yes—
39C23×Dic53C2311yescharacteristic
40C23×Dic53C2312yes—
41C23×Dic53C2311yescharacteristic
42C23×Dic53C2311yescharacteristic
43C23×Dic53C2311yescharacteristic
44C2×C4⋊Dic53—22no—
45C2×C4⋊Dic53—22no—
46C2×C4⋊Dic53—22no—
47C2×C4⋊Dic53—22no—
48C2×C4⋊Dic53—22no—
49C2×C4⋊Dic53C2×C414yes—
50C2×#11719919—22no—
51C2×#11719919—22no—
52C2×#11719919—22no—
53C2×#11719919—22no—
54C2×#11719919—22no—
55C2×#11719919—42no—
56C2×#11719919—42no—
57C2×#11719919C2×C418yes—
58C2×#11719919Q814yes—
59C2×C4×Dic53—22no—
60C2×C4×Dic53—22no—
61C2×C4×Dic53—22no—
62C2×C4×Dic53—22no—
63C2×C4×Dic53—22no—
64C2×C4×Dic53C2×C414yes—
65#13133124—22no—
66#13133124—22no—
67#13133124—24no—
68#13133124—24no—
69#13133124—24no—
70#13133124—42no—
71#13133124—42no—
72#13133124—42no—
73#13133124—42no—
74#13133124—42no—
75#13133124C2×C418yes—
76C23×C4×C53C2312yes—
77C23×C4×C53C2311yescharacteristic
78C23×C4×C53C2312yes—
79C23×C4×C53C2311yescharacteristic
80C23×C4×C53C2311yescharacteristic
81C2×C4⋊C4×C53—22no—
82C2×C4⋊C4×C53—22no—
83C2×C4⋊C4×C53—22no—
84C2×C4⋊C4×C53—22no—
85C2×C4⋊C4×C53C2×C414yes—
86C2×C4⋊C4×C53Q814yes—
87C2×C42×C53—24no—
88C2×C42×C53—22no—
89C2×C42×C53—22no—
90C2×C42×C53—42no—
91C2×C42×C53—42no—
92C2×C42×C53D414yes—
93#95×C53—24no—
94C24×C53C2411yescharacteristic
95C22×C4×C53—21no—
96C22×C4×C53—21no—
97C22×C4×C53—21no—
98C22×C4×C53—21no—
99C22×C4×C53—22no—
100C22×C4×C53—22no—
101C22×C4×C53—21no—
102C22×C4×C53—21no—
103C22×C4×C53—22no—
104C22×C4×C53—22no—
105C22×C4×C53—22no—
106C22×C4×C53—22no—
107C22×C4×C53—21no—
108C22×C4×C53—21no—
109C22×C4×C53—22no—
110C22×C4×C53—22no—
111C22×C4×C53—22no—
112C22×C4×C53—22no—
113C22×C4×C53—21no—
114C22×C4×C53—22no—
115C22×C4×C53—22no—
116C22×C4×C53—21no—
117C22×C4×C53C22×C414yes—
118C22×C4×C53C22×C412yes—
119C22×C4×C53C2×D412yes—
120C22×C4×C53C2×D412yes—
121C22×C4×C53C2×D412yes—
122C22×C4×C53C2×Q814yes—
123C22×C4×C53C2×Q812yes—
124C22×C4×C53C2×Q812yes—
125C22×C4×C53#4112yes—
126C22×C4×C53#4112yes—
127C22×C4×C53#4112yes—
128C22×C4×C53#4112yes—
129C22×C4×C53#4112yes—
130C22×Dic53—21no—
131C22×Dic53—21no—
132C22×Dic53—21no—
133C22×Dic53—21no—
134C22×Dic53—21no—
135C22×Dic53—21no—
136C22×Dic53—21no—
137C22×Dic53—22no—
138C22×Dic53—22no—
139C22×Dic53—21no—
140C22×Dic53—21no—
141C22×Dic53—21no—
142C22×Dic53—21no—
143C22×Dic53—21no—
144C22×Dic53—21no—
145C22×Dic53—21no—
146C22×Dic53—22no—
147C22×Dic53—22no—
148C22×Dic53—21no—
149C22×Dic53—21no—
150C22×Dic53—21no—
151C22×Dic53—21no—
152C22×Dic53—22no—
153C22×Dic53—22no—
154C22×Dic53—21no—
155C22×Dic53—21no—
156C22×Dic53—21no—
157C22×Dic53—21no—
158C22×Dic53—22no—
159C22×Dic53—22no—
160C22×Dic53—22no—
161C22×Dic53—22no—
162C22×Dic53—22no—
163C22×Dic53—22no—
164C22×Dic53—22no—
165C22×Dic53C22×C414yes—
166C22×Dic53C22×C412yes—
167C22×Dic53C22×C412yes—
168C22×Dic53C2×Q812yes—
169C22×Dic53C2×Q812yes—
170C22×Dic53#4112yes—
171C22×Dic53#4112yes—
172C4⋊C4×C53—28no—
173C4⋊C4×C53—28no—
174C42×C53—28no—
175C42×C53—48no—
176C4⋊Dic53—28no—
177C4⋊Dic53—44no—
178#11719919—28no—
179#11719919—28no—
180#11719919—48no—
181C4×Dic53—28no—
182C4×Dic53—44no—
183C23×C53C23×C411yescharacteristic
184C23×C53C22×D411yescharacteristic
185C23×C53C22×Q811yescharacteristic
186C23×C53C22×Q811yescharacteristic
187C23×C53C2×#4111yescharacteristic
188C23×C53C2×#4111yescharacteristic
189C23×C53C2×#4111yescharacteristic
190C23×C53C2×#4111yescharacteristic
191C23×C53C2×#4111yescharacteristic
192C23×C53C2×#4111yescharacteristic
193C23×C53C2×#4111yescharacteristic
194C23×C53H(5,𝔽2)11yescharacteristic
195C23×C53H(5,𝔽2)11yescharacteristic
196C23×C53H(5,𝔽2)11yescharacteristic
197C23×C532−1+411yescharacteristic
198C2×C4×C53—22no—
199C2×C4×C53—22no—
200C2×C4×C53—22no—
201C2×C4×C53—22no—
202C2×C4×C53—22no—
203C2×C4×C53—22no—
204C2×C4×C53—24no—
205C2×C4×C53—24no—
206C2×C4×C53—24no—
207C2×C4×C53—24no—
208C2×C4×C53—22no—
209C2×C4×C53—22no—
210C2×C4×C53—22no—
211C2×C4×C53—24no—
212C2×C4×C53—24no—
213C2×C4×C53—42no—
214C2×C4×C53—42no—
215C2×C4×C53—42no—
216C2×C4×C53—42no—
217C2×C4×C53—42no—
218C2×C4×C53—42no—
219C2×C4×C53—41no—
220C2×C4×C53—41no—
221C2×C4×C53—41no—
222C2×C4×C53—41no—
223C2×C4×C53—42no—
224C2×C4×C53—42no—
225C2×C4×C53#11714yes—
226C2×C4×C53C4×D414yes—
227C2×C4×C53C4×Q814yes—
228C2×C4×C53C22⋊Q814yes—
229C2×C4×C53C22⋊Q814yes—
230C2×C4×C53#12314yes—
231C2×C4×C53#12514yes—
232C2×C4×C53#12614yes—
233C2×Dic53—22no—
234C2×Dic53—22no—
235C2×Dic53—22no—
236C2×Dic53—22no—
237C2×Dic53—22no—
238C2×Dic53—22no—
239C2×Dic53—24no—
240C2×Dic53—22no—
241C2×Dic53—24no—
242C2×Dic53—24no—
243C2×Dic53—22no—
244C2×Dic53—22no—
245C2×Dic53—22no—
246C2×Dic53—22no—
247C2×Dic53—22no—
248C2×Dic53—22no—
249C2×Dic53—22no—
250C2×Dic53—22no—
251C2×Dic53—41no—
252C2×Dic53—41no—
253C2×Dic53—41no—
254C2×Dic53—41no—
255C2×Dic53—41no—
256C2×Dic53—41no—
257C2×Dic53—41no—
258C2×Dic53—41no—
259C2×Dic53—42no—
260C2×Dic53—42no—
261C2×Dic53—41no—
262C2×Dic53—41no—
263C2×Dic53—41no—
264C2×Dic53—41no—
265C2×Dic53—42no—
266C2×Dic53—42no—
267C2×Dic53—42no—
268C2×Dic53—42no—
269C2×Dic53—42no—
270C2×Dic53—42no—
271C2×Dic53—42no—
272C2×Dic53—42no—
273C2×Dic53—42no—
274C2×Dic53C4×Q814yes—
275#14041—531nomaximal, Sylow
276C22×C53C2×#11711yescharacteristic
277C22×C53C2×C4×D411yescharacteristic
278C22×C53C2×C4×Q811yescharacteristic
279C22×C53C2×C4×Q811yescharacteristic
280C22×C53C4×#4111yescharacteristic
281C22×C53#51811yescharacteristic
282C22×C53#52011yescharacteristic
283C22×C53C2×C22⋊Q811yescharacteristic
284C22×C53C2×C22⋊Q811yescharacteristic
285C22×C53C2×#12311yescharacteristic
286C22×C53#52511yescharacteristic
287C22×C53C2×#12511yescharacteristic
288C22×C53C2×#12611yescharacteristic
289C22×C53#52911yescharacteristic
290C22×C53#53311yescharacteristic
291C22×C53#53511yescharacteristic
292C22×C53#53711yescharacteristic
293C22×C53#54011yescharacteristic
294C22×C53#54211yescharacteristic
295C22×C53#55211yescharacteristic
296C22×C53#55311yescharacteristic
297C22×C53#55311yescharacteristic
298C22×C53#55311yescharacteristic
299C22×C53#55411yescharacteristic
300C22×C53#55411yescharacteristic
301C22×C53#55411yescharacteristic
302C22×C53#55411yescharacteristic
303C22×C53#55511yescharacteristic
304C22×C53#55611yescharacteristic
305C22×C53#55711yescharacteristic
306C22×C53#55711yescharacteristic
307C22×C53Q8211yescharacteristic
308C22×C53#55911yescharacteristic
309C22×C53#55911yescharacteristic
310C22×C53#55911yescharacteristic
311C4×C53—24no—
312C4×C53—44no—
313C4×C53—44no—
314C4×C53—42no—
315C4×C53#38718yes—
316Dic53—24no—
317Dic53—42no—
318Dic53—44no—
319Dic53—42no—
320Dic53—42no—
321Dic53—82no—
322C2×#389—531no—
323C2×C4×C4⋊C4—531no—
324C2×C4×C4⋊C4D5311yescharacteristic
325#1445—532no—
326#1442—532no—
327#1436—532no—
328#1436—532no—
329C4⋊#95—531no—
330C4⋊#95—531no—
331C4⋊#95—531no—
332C4⋊#95—531no—
333C2×C53C2×#38711yescharacteristic
334C2×C53C4×C22⋊Q811yescharacteristic
335C2×C53#232411yescharacteristic
336C2×C53#235511yescharacteristic
337C2×C53#235711yescharacteristic
338C2×C53#236911yescharacteristic
339C2×C53#237011yescharacteristic
340C2×C53#248511yescharacteristic
341C2×C53#248711yescharacteristic
342C2×C53#250711yescharacteristic
343C2×C53#250911yescharacteristic
344C2×C53#251111yescharacteristic
345C2×C53#251311yescharacteristic
346C2×C53#258011yescharacteristic
347C2×C53#258211yescharacteristic
348C22×C4⋊C4—531no—
349C22×C4⋊C4—531no—
350C22×C4⋊C4—532no—
351C22×C4⋊C4—531no—
352C22×C4⋊C4—531no—
353C22×C4⋊C4C2×D5311yescharacteristic
354C22×C4⋊C4C2×D5311yescharacteristic
355C22×C42—531no—
356C22×C42—531no—
357C22×C42C2×D5311yescharacteristic
358C22×C42C2×D5312yes—
359#389—538no—
360C4×C4⋊C4—24no—
361C4×C4⋊C4—1064no—
362C2×#95—532no—
363C2×#95—532no—
364C2×#95—532no—
365C2×#95—532no—
366C2×#95—531no—
367C2×#95—531no—
368C2×#95—532no—
369C2×#95—532no—
370C2×#95—532no—
371C2×#95—532no—
372C2×#95—532no—
373C2×#95C2×D5312yes—
374C53#1404111yescharacteristic, complemented, Sylow
375C23×C4—531no—
376C23×C4—532no—
377C23×C4—531no—
378C23×C4—531no—
379C23×C4—531no—
380C23×C4—532no—
381C23×C4C22×D5312yes—
382C23×C4C22×D5312yes—
383C23×C4C22×D5311yescharacteristic
384C23×C4C22×D5311yescharacteristic
385C23×C4C22×D5311yescharacteristic
386C2×C4⋊C4—22no—
387C2×C4⋊C4—22no—
388C2×C4⋊C4—22no—
389C2×C4⋊C4—22no—
390C2×C4⋊C4—534no—
391C2×C4⋊C4—534no—
392C2×C4⋊C4—538no—
393C2×C4⋊C4—1062no—
394C2×C4⋊C4—1062no—
395C2×C4⋊C4—1062no—
396C2×C4⋊C4—1062no—
397C2×C4⋊C4—1062no—
398C2×C4⋊C4—1062no—
399C2×C4⋊C4—1062no—
400C2×C4⋊C4—1062no—
401C2×C4⋊C4—1062no—
402C2×C4⋊C4—1062no—
403C2×C4⋊C4—2122no—
404C2×C4⋊C4—2122no—
405C2×C4⋊C4Dic10614yes—
406C2×C4⋊C4C4×D5314yes—
407C2×C42—22no—
408C2×C42—22no—
409C2×C42—24no—
410C2×C42—42no—
411C2×C42—42no—
412C2×C42—534no—
413C2×C42—1062no—
414C2×C42—1062no—
415C2×C42—1062no—
416C2×C42—1062no—
417C2×C42—1062no—
418C2×C42C22⋊D5314yes—
419#95—24no—
420#95—538no—
421#95—1064no—
422#95—1064no—
423#95—1064no—
424#95—1062no—
425#95—1062no—
426#95—2122no—
427#95—2122no—
428#95—2122no—
429#95—2122no—
430#95—2122no—
431C24C23×D5311yescharacteristic
432C22×C4—21no—
433C22×C4—21no—
434C22×C4—21no—
435C22×C4—21no—
436C22×C4—22no—
437C22×C4—22no—
438C22×C4—22no—
439C22×C4—22no—
440C22×C4—21no—
441C22×C4—21no—
442C22×C4—21no—
443C22×C4—21no—
444C22×C4—22no—
445C22×C4—22no—
446C22×C4—22no—
447C22×C4—22no—
448C22×C4—22no—
449C22×C4—22no—
450C22×C4—21no—
451C22×C4—22no—
452C22×C4—22no—
453C22×C4—21no—
454C22×C4—532no—
455C22×C4—532no—
456C22×C4—532no—
457C22×C4—534no—
458C22×C4—532no—
459C22×C4—532no—
460C22×C4—532no—
461C22×C4—1061no—
462C22×C4—1061no—
463C22×C4—1061no—
464C22×C4—1061no—
465C22×C4—1061no—
466C22×C4—1061no—
467C22×C4—1061no—
468C22×C4—1062no—
469C22×C4—1061no—
470C22×C4—1061no—
471C22×C4—1061no—
472C22×C4—1061no—
473C22×C4—1061no—
474C22×C4—1061no—
475C22×C4—1062no—
476C22×C4—1062no—
477C22×C4—1062no—
478C22×C4—1061no—
479C22×C4—1061no—
480C22×C4—1061no—
481C22×C4—1061no—
482C22×C4—1062no—
483C22×C4—1061no—
484C22×C4—1061no—
485C22×C4—1062no—
486C22×C4—1061no—
487C22×C4—1061no—
488C22×C4—1061no—
489C22×C4—1062no—
490C22×C4—1062no—
491C22×C4—1062no—
492C22×C4—1062no—
493C22×C4—1062no—
494C22×C4—1062no—
495C22×C4—1062no—
496C22×C4C2×Dic10614yes—
497C22×C4C2×Dic10612yes—
498C22×C4C2×C4×D5314yes—
499C22×C4C2×C4×D5312yes—
500C22×C4#1171994512yes—
501C22×C4#1171994512yes—
502C22×C4#1171994512yes—
503C22×C4#1171994512yes—
504C22×C4Q8×D5312yes—
505C22×C4#1171994912yes—
506C22×C4C2×C22⋊D5312yes—
507C22×C4C2×C22⋊D5312yes—
508C22×C4C2×C22⋊D5312yes—
509C4⋊C4—28no—
510C4⋊C4—28no—
511C4⋊C4—1068no—
512C4⋊C4—1068no—
513C4⋊C4—1068no—
514C4⋊C4—2128no—
515C4⋊C4—2124no—
516C42—28no—
517C42—48no—
518C42—1068no—
519C42—2124no—
520C23C22×C4×D5311yescharacteristic
521C23C22×C22⋊D5311yescharacteristic
522C23C2×Q8×D5311yescharacteristic
523C23C22×Dic10611yescharacteristic
524C23#41×D5311yescharacteristic
525C23#41×D5311yescharacteristic
526C23C2×#1171994511yescharacteristic
527C23C2×#1171994511yescharacteristic
528C23C2×#1171994511yescharacteristic
529C23C2×#1171994511yescharacteristic
530C23C2×#1171994911yescharacteristic
531C23#1313326211yescharacteristic
532C23#1313326211yescharacteristic
533C23#1313326311yescharacteristic
534C23#1313326411yescharacteristic
535C2×C4—22no—
536C2×C4—22no—
537C2×C4—22no—
538C2×C4—22no—
539C2×C4—22no—
540C2×C4—22no—
541C2×C4—24no—
542C2×C4—24no—
543C2×C4—24no—
544C2×C4—24no—
545C2×C4—24no—
546C2×C4—24no—
547C2×C4—22no—
548C2×C4—22no—
549C2×C4—22no—
550C2×C4—41no—
551C2×C4—41no—
552C2×C4—41no—
553C2×C4—41no—
554C2×C4—42no—
555C2×C4—42no—
556C2×C4—42no—
557C2×C4—42no—
558C2×C4—42no—
559C2×C4—42no—
560C2×C4—42no—
561C2×C4—42no—
562C2×C4—534no—
563C2×C4—1062no—
564C2×C4—1062no—
565C2×C4—1062no—
566C2×C4—1062no—
567C2×C4—1062no—
568C2×C4—1062no—
569C2×C4—1062no—
570C2×C4—1062no—
571C2×C4—1062no—
572C2×C4—1062no—
573C2×C4—1064no—
574C2×C4—1062no—
575C2×C4—1064no—
576C2×C4—1062no—
577C2×C4—1064no—
578C2×C4—1062no—
579C2×C4—1062no—
580C2×C4—1062no—
581C2×C4—2122no—
582C2×C4—2122no—
583C2×C4—2122no—
584C2×C4—2122no—
585C2×C4—2122no—
586C2×C4—2122no—
587C2×C4—2122no—
588C2×C4—2122no—
589C2×C4—2122no—
590C2×C4—2121no—
591C2×C4—2121no—
592C2×C4—2121no—
593C2×C4—2121no—
594C2×C4—2122no—
595C2×C4—2122no—
596C2×C4—2121no—
597C2×C4—2121no—
598C2×C4—2121no—
599C2×C4—2121no—
600C2×C4—2121no—
601C2×C4—2121no—
602C2×C4—2121no—
603C2×C4—2121no—
604C2×C4#1313317414yes—
605C2×C4C4×C22⋊D5314yes—
606C2×C4C4×Dic10614yes—
607C2×C4#1313319314yes—
608C2×C4#1313319614yes—
609C2×C4#1313320014yes—
610C2×C4#1313320914yes—
611C2×C4#1313321114yes—
612C22C2×#1313317411yescharacteristic
613C22C2×C4×C22⋊D5311yescharacteristic
614C22C4×Q8×D5311yescharacteristic
615C22C2×C4×Dic10611yescharacteristic
616C22C4×#1171994911yescharacteristic
617C22#1681109511yescharacteristic
618C22#1681110211yescharacteristic
619C22C2×#1313319311yescharacteristic
620C22C2×#1313319611yescharacteristic
621C22C2×#1313320011yescharacteristic
622C22#1681113011yescharacteristic
623C22C2×#1313320911yescharacteristic
624C22C2×#1313321111yescharacteristic
625C22#1681116011yescharacteristic
626C22#1681117711yescharacteristic
627C22#1681119011yescharacteristic
628C22#1681120111yescharacteristic
629C22#1681122411yescharacteristic
630C22#1681123811yescharacteristic
631C22#1681131211yescharacteristic
632C22#1681131711yescharacteristic
633C22#1681132111yescharacteristic
634C22#1681132111yescharacteristic
635C22#1681132811yescharacteristic
636C22#1681132811yescharacteristic
637C22#1681133211yescharacteristic
638C22#1681133211yescharacteristic
639C22#1681133611yescharacteristic
640C22#1681134111yescharacteristic
641C22#1681135111yescharacteristic
642C22#1681135211yescharacteristic
643C22Q8×Dic10611yescharacteristic
644C22#1681135611yescharacteristic
645C22#1681135611yescharacteristic
646C22#1681135811yescharacteristic
647C4—24no—
648C4—44no—
649C4—44no—
650C4—42no—
651C4—1064no—
652C4—4242no—
653C4—2122no—
654C4—2124no—
655C4—2122no—
656C4—2122no—
657C4#1681050718yes—
658C2C2×#1681050711yescharacteristic
659C2C4×#1313319311yescharacteristic
660C2#2027740211yescharacteristic
661C2#2027766811yescharacteristic
662C2#2027768411yescharacteristic
663C2#2027780211yescharacteristic
664C2#2027780711yescharacteristic
665C2#2027900611yescharacteristic
666C2#2027902611yescharacteristic
667C2#2027923611yescharacteristic
668C2#2027925811yescharacteristic
669C2#2027928411yescharacteristic
670C2#2027930611yescharacteristic
671C2#2028006911yescharacteristic
672C2#2028008511yescharacteristic
subgroupG/H
center, FrattiniC24C23×D53
commutatorC23×C53C23×C4
FittingC2×C4×C4⋊C4×C53C2
socle, prime radical, cosocleC24×C53C24
hypercenterC2×C4×C4⋊C4D53
hypocenterC53#14041
LCSG ▷ C23×C53 ▷ C53
UCSC1 ◁ C24 ◁ C2×C4×C4⋊C4

Complements

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

NH ≅ G/Ntype
19. #16810519C4semidirect
374. C53#14041semidirect

Maximal subgroups

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

subgroupindex
C2×#168105192
C2×C4×#117199192
#202729812
#202729732
#202729482
#202729452
#202729442
C2×C4×C4⋊C4×C532
#1404153