Finite Group Databasebeta

← #29679889

Subgroups — #29679889

Order 15616.

2038 conjugacy classes of subgroups.

The subgroup lattice has 680 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C22×C42×D61C211yesmaximal, characteristic
2C2×#16839813C212yesmaximal, complemented
3#21445886C212yesmaximal, complemented
4#21445798C212yesmaximal, complemented
5#21445797C212yesmaximal, complemented
6#21445728C212yesmaximal
7C4×#14519689C212yesmaximal, complemented
8C4×C22⋊#92418C211yesmaximal, characteristic, complemented
9C4×C22⋊C8×C61C211yesmaximal, characteristic, complemented
10C23×C4×D61C411yescharacteristic
11C23×C4×D61C411yescharacteristic
12C23×C4×D61C2211yescharacteristic
13C22×C4×Dic61C411yescharacteristic
14C22×C4×Dic61C411yescharacteristic
15C22×C4×Dic61C2211yescharacteristic
16C2×C42×D61—28no—
17C2×C42×D61C411yescharacteristic
18C2×C42×D61C411yescharacteristic
19C2×C42×D61C411yescharacteristic
20C2×C42×D61C411yescharacteristic
21C2×C42×D61C2211yescharacteristic
22C2×C42×D61C2211yescharacteristic
23C2×C42×D61C2211yescharacteristic
24C2×C42×D61C2211yescharacteristic
25#16839813—28no—
26C2×#14519706C2214yescomplemented
27C2×C22⋊#92418C2212yes—
28C2×#14519689C2214yes—
29C2×#14519689C2214yes—
30C2×C4×#92418C2212yescomplemented
31#16839517C2212yescomplemented
32#16839516C2214yescomplemented
33C22×C42×C61C2211yescharacteristic
34C2×C22⋊C8×C61C2212yes—
35C2×C4×C8×C61C2212yescomplemented
36C61×#336C2212yescomplemented
37C24×D61C2×C411yescharacteristic
38C23×Dic61C2×C411yescharacteristic
39C23×Dic61C2×C411yescharacteristic
40C23×Dic61C2×C411yescharacteristic
41C22×C4×D61—24no—
42C22×C4×D61—24no—
43C22×C4×D61—24no—
44C22×C4×D61—24no—
45C22×C4×D61—24no—
46C22×C4×D61—24no—
47C22×C4×D61—24no—
48C22×C4×D61—24no—
49C22×C4×D61C818yescomplemented
50C22×C4×D61C2×C411yescharacteristic
51C22×C4×D61C2×C411yescharacteristic
52C22×C4×D61C2×C411yescharacteristic
53C22×C4×D61C2×C411yescharacteristic
54C22×C4×D61C2×C411yescharacteristic
55C22×C4×D61C2×C411yescharacteristic
56C22×C4×D61C2×C411yescharacteristic
57C22×C4×D61C2×C411yescharacteristic
58C22×C4×D61C2×C411yescharacteristic
59C22×C4×D61C2×C411yescharacteristic
60C22×C4×D61C2311yescharacteristic
61C22×C4×D61C2311yescharacteristic
62C22×#92418C2314yes—
63C2×C4×Dic61—24no—
64C2×C4×Dic61—24no—
65C2×C4×Dic61—24no—
66C2×C4×Dic61C2×C411yescharacteristic
67C2×C4×Dic61C2×C411yescharacteristic
68C2×C4×Dic61C2×C411yescharacteristic
69C2×C4×Dic61C2×C411yescharacteristic
70C2×C4×Dic61C2×C411yescharacteristic
71C2×C4×Dic61C2×C411yescharacteristic
72C2×C4×Dic61C2×C411yescharacteristic
73C2×C4×Dic61C2×C411yescharacteristic
74C2×C4×Dic61C2×C411yescharacteristic
75C2×C4×Dic61C2×C411yescharacteristic
76C2×C4×Dic61C2311yescharacteristic
77C2×C4×Dic61C2311yescharacteristic
78C42×D61—24no—
79C42×D61—24no—
80C42×D61—24no—
81C42×D61—24no—
82C42×D61—24no—
83C42×D61—24no—
84C42×D61—24no—
85C42×D61D418yes—
86#14519706—28no—
87C22⋊#92418—24no—
88#14519689—28no—
89#14519689—28no—
90C4×#92418—24no—
91C23×C4×C61C2×C411yescharacteristic
92C23×C4×C61C2×C411yescharacteristic
93C23×C4×C61C2311yescharacteristic
94C22×C8×C61C2314yes—
95C2×C42×C61—24no—
96C2×C42×C61C2×C411yescharacteristic
97C2×C42×C61C2×C411yescharacteristic
98C2×C42×C61C2311yescharacteristic
99C2×C42×C61C2311yescharacteristic
100C22⋊C8×C61—24no—
101C4×C8×C61—24no—
102C24×C61C22×C411yescharacteristic
103C23×D61—22no—
104C23×D61—22no—
105C23×D61—22no—
106C23×D61—22no—
107C23×D61—22no—
108C23×D61—22no—
109C23×D61C2×C814yes—
110C23×D61C22×C411yescharacteristic
111C23×D61C22×C411yescharacteristic
112C22×C4×C61—22no—
113C22×C4×C61—22no—
114C22×C4×C61—22no—
115C22×C4×C61—22no—
116C22×C4×C61—22no—
117C22×C4×C61—22no—
118C22×C4×C61C2×C814yes—
119C22×C4×C61M1614yes—
120C22×C4×C61C22×C411yescharacteristic
121C22×C4×C61C22×C411yescharacteristic
122C22×C4×C61C22×C411yescharacteristic
123C22×C4×C61C22×C411yescharacteristic
124C22×C4×C61C22×C411yescharacteristic
125C22×C4×C61#4114yes—
126C22×C4×C61C2411yescharacteristic
127C22×Dic61—22no—
128C22×Dic61—22no—
129C22×Dic61—22no—
130C22×Dic61—22no—
131C22×Dic61—22no—
132C22×Dic61—22no—
133C22×Dic61—22no—
134C22×Dic61—22no—
135C22×Dic61C2×C814yes—
136C22×Dic61C22×C411yescharacteristic
137C22×Dic61C22×C411yescharacteristic
138C22×Dic61C22×C411yescharacteristic
139C22×Dic61C22×C411yescharacteristic
140C22×Dic61C22×C411yescharacteristic
141C22×Dic61C22×C411yescharacteristic
142C2×C4×D61—232no—
143C2×C4×D61—232no—
144C2×C4×D61—22no—
145C2×C4×D61—22no—
146C2×C4×D61—22no—
147C2×C4×D61—22no—
148C2×C4×D61—22no—
149C2×C4×D61—22no—
150C2×C4×D61—22no—
151C2×C4×D61—22no—
152C2×C4×D61—22no—
153C2×C4×D61—22no—
154C2×C4×D61—22no—
155C2×C4×D61—22no—
156C2×C4×D61—22no—
157C2×C4×D61—22no—
158C2×C4×D61—22no—
159C2×C4×D61—22no—
160C2×C4×D61—22no—
161C2×C4×D61—22no—
162C2×C4×D61—22no—
163C2×C4×D61—22no—
164C2×C4×D61—22no—
165C2×C4×D61—22no—
166C2×C4×D61—22no—
167C2×C4×D61—22no—
168C2×C4×D61—22no—
169C2×C4×D61—22no—
170C2×C4×D61—232no—
171C2×C4×D61C22⋊C414yes—
172C2×C4×D61C22⋊C414yes—
173C2×C4×D61C2×C814yes—
174C2×C4×D61C2×C814yes—
175C2×C4×D61C2×C814yes—
176C2×C4×D61C2×C814yes—
177C2×C4×D61M1614yes—
178C2×C4×D61M1614yes—
179C2×C4×D61C2×D414yes—
180C2×C4×D61#4114yes—
181C2×C8×C61—24no—
182C2×C8×C61—24no—
183C2×C8×C61—24no—
184C42×C61—22no—
185C42×C61—22no—
186C42×C61—22no—
187C42×C61C2×D414yes—
188C4×Dic61—22no—
189C4×Dic61—22no—
190C4×Dic61—22no—
191C4×Dic61—22no—
192C4×Dic61—22no—
193C4×Dic61—22no—
194C4×Dic61—22no—
195C4×Dic61—22no—
196C4×Dic61—22no—
197C4×Dic61C22⋊C414yes—
198C4×Dic61C22⋊C414yes—
199C4×Dic61C2×D414yes—
200C2×#92418—24no—
201C2×#92418—24no—
202C2×#92418—24no—
203C23×C61—21no—
204C23×C61—21no—
205C23×C61—21no—
206C23×C61—21no—
207C23×C61#11712yes—
208C23×C61C22×C812yes—
209C23×C61C2×M1612yes—
210C23×C61C23×C411yescharacteristic
211C22×D61—28no—
212C22×D61—28no—
213C22×D61—28no—
214C22×D61—28no—
215C22×D61—21no—
216C22×D61—21no—
217C22×D61—21no—
218C22×D61—21no—
219C22×D61—21no—
220C22×D61—21no—
221C22×D61—21no—
222C22×D61—21no—
223C22×D61—28no—
224C22×D61—28no—
225C22×D61—28no—
226C22×D61C2×C22⋊C412yes—
227C22×D61#11712yes—
228C22×D61C22×C812yes—
229C22×D61C22×C812yes—
230C22×D61C2×M1612yes—
231C22×D61C2×M1612yes—
232C2×C4×C61—21no—
233C2×C4×C61—21no—
234C2×C4×C61—21no—
235C2×C4×C61—21no—
236C2×C4×C61—21no—
237C2×C4×C61—21no—
238C2×C4×C61—28no—
239C2×C4×C61—28no—
240C2×C4×C61—28no—
241C2×C4×C61C2×C22⋊C412yes—
242C2×C4×C61C2×C22⋊C412yes—
243C2×C4×C61#11712yes—
244C2×C4×C61C22×C812yes—
245C2×C4×C61C22×C812yes—
246C2×C4×C61C2×M1612yes—
247C2×C4×C61C2×M1612yes—
248C2×C4×C61C2×M1612yes—
249C2×C4×C61C2×M1612yes—
250C2×C4×C61C22×D412yes—
251C2×C4×C61C2×#4112yes—
252C2×C4×C61C2×#4112yes—
253C2×Dic61—28no—
254C2×Dic61—28no—
255C2×Dic61—21no—
256C2×Dic61—21no—
257C2×Dic61—21no—
258C2×Dic61—21no—
259C2×Dic61—21no—
260C2×Dic61—21no—
261C2×Dic61—21no—
262C2×Dic61—21no—
263C2×Dic61—21no—
264C2×Dic61—21no—
265C2×Dic61—28no—
266C2×Dic61C2×C22⋊C412yes—
267C2×Dic61C2×C22⋊C412yes—
268C2×Dic61C2×C22⋊C412yes—
269C2×Dic61#11712yes—
270C2×Dic61C22×C812yes—
271C2×Dic61C22×C812yes—
272C2×Dic61C2×M1612yes—
273C2×Dic61C2×M1612yes—
274C4×D61—28no—
275C4×D61—28no—
276C4×D61—28no—
277C4×D61—28no—
278C4×D61—28no—
279C4×D61—28no—
280C4×D61—28no—
281C4×D61—28no—
282C4×D61—28no—
283C4×D61—28no—
284C4×D61—28no—
285C4×D61C22⋊C8116yescomplemented
286C8×C61—44no—
287#92418—44no—
288#20714—611nomaximal, Sylow
289C22×C61—22no—
290C22×C61—22no—
291C22×C61—22no—
292C22×C61—22no—
293C22×C61—22no—
294C22×C61—22no—
295C22×C61#43114yescomplemented
296C22×C61C22×C22⋊C411yescharacteristic
297C22×C61C2×#11711yescharacteristic
298C22×C61C2×#11711yescharacteristic
299C22×C61C23×C811yescharacteristic
300C22×C61C22×M1611yescharacteristic
301C22×C61C22×M1611yescharacteristic
302C22×C61C22×M1611yescharacteristic
303C2×D61—232no—
304C2×D61—22no—
305C2×D61—22no—
306C2×D61—22no—
307C2×D61—22no—
308C2×D61—22no—
309C2×D61—22no—
310C2×D61—22no—
311C2×D61—22no—
312C2×D61—22no—
313C2×D61—22no—
314C2×D61—22no—
315C2×D61—22no—
316C2×D61C2×C22⋊C814yes—
317C2×D61#43114yescomplemented
318C4×C61—22no—
319C4×C61—22no—
320C4×C61—22no—
321C4×C61C2×C22⋊C814yes—
322C4×C61#40714yes—
323C4×C61#52514yes—
324Dic61—22no—
325Dic61—22no—
326Dic61—22no—
327Dic61—22no—
328Dic61—22no—
329Dic61C2×C22⋊C814yes—
330C23×C42—611no—
331C2×#431—612no—
332#1817—612no—
333#1797—612no—
334#1797—612no—
335#1779—612no—
336C4×C22⋊C8—611no—
337C4×C22⋊C8—612no—
338C4×C22⋊C8D6111yescharacteristic, complemented
339C2×C61—24no—
340C2×C61#228011yescharacteristic
341C2×C61C22×C22⋊C811yescharacteristic
342C2×C61C2×#40711yescharacteristic
343C2×C61C2×#43111yescharacteristic
344C2×C61C2×#43111yescharacteristic
345C2×C61#292011yescharacteristic
346C2×C61#292011yescharacteristic
347D61—24no—
348D61—24no—
349C24×C4—611no—
350C24×C4—611no—
351C24×C4—611no—
352C22×C42—611no—
353C22×C42—611no—
354C22×C42—611no—
355C22×C42—611no—
356C22×C42—611no—
357C22×C42—611no—
358C22×C42—611no—
359C22×C42—611no—
360C22×C42—611no—
361C22×C42—611no—
362C22×C42—611no—
363C22×C42—1228no—
364C22×C42C2×D6111yescharacteristic
365#431—1228no—
366C2×C4⋊C8—614no—
367C2×C22⋊C8—612no—
368C2×C22⋊C8—614no—
369C2×C22⋊C8—614no—
370C2×C22⋊C8C2×D6112yes—
371C2×C4×C8—612no—
372C2×C4×C8C2×D6112yescomplemented
373#336—614no—
374#336—612no—
375#336C2×D6112yescomplemented
376C61#2071411yescharacteristic, complemented, Sylow
377C25—611no—
378C23×C4—611no—
379C23×C4—611no—
380C23×C4—618no—
381C23×C4—611no—
382C23×C4—611no—
383C23×C4—611no—
384C23×C4—611no—
385C23×C4—611no—
386C23×C4—611no—
387C23×C4—611no—
388C23×C4—611no—
389C23×C4—611no—
390C23×C4—611no—
391C23×C4—611no—
392C23×C4—611no—
393C23×C4—611no—
394C23×C4—1224no—
395C23×C4—1224no—
396C23×C4—1224no—
397C23×C4—1224no—
398C23×C4—1224no—
399C23×C4—1224no—
400C23×C4—1224no—
401C23×C4—1224no—
402C23×C4C4×D6111yescharacteristic
403C23×C4C4×D6111yescharacteristic
404C23×C4C22×D6111yescharacteristic
405C22×C8—614no—
406C22×C8C22×D6114yes—
407C2×C42—24no—
408C2×C42—611no—
409C2×C42—611no—
410C2×C42—611no—
411C2×C42—618no—
412C2×C42—611no—
413C2×C42—611no—
414C2×C42—611no—
415C2×C42—611no—
416C2×C42—611no—
417C2×C42—611no—
418C2×C42—611no—
419C2×C42—611no—
420C2×C42—611no—
421C2×C42—1224no—
422C2×C42—1224no—
423C2×C42—1224no—
424C2×C42—1224no—
425C2×C42—1224no—
426C2×C42—1224no—
427C2×C42—1224no—
428C2×C42—1224no—
429C2×C42—1224no—
430C2×C42—1224no—
431C2×C42C4×D6111yescharacteristic
432C2×C42C4×D6111yescharacteristic
433C2×C42C22×D6111yescharacteristic
434C2×C42C22×D6111yescharacteristic
435C4⋊C8—1228no—
436C22⋊C8—24no—
437C22⋊C8—1228no—
438C22⋊C8—1228no—
439C22⋊C8—1224no—
440C4×C8—24no—
441C4×C8—1224no—
442C24—611no—
443C24—611no—
444C24—614no—
445C24—1222no—
446C24—1222no—
447C24—1222no—
448C24—1222no—
449C24—1222no—
450C24—1222no—
451C24C2×C4×D6111yescharacteristic
452C22×C4—22no—
453C22×C4—22no—
454C22×C4—22no—
455C22×C4—22no—
456C22×C4—22no—
457C22×C4—22no—
458C22×C4—611no—
459C22×C4—614no—
460C22×C4—614no—
461C22×C4—614no—
462C22×C4—611no—
463C22×C4—611no—
464C22×C4—611no—
465C22×C4—611no—
466C22×C4—611no—
467C22×C4—614no—
468C22×C4—614no—
469C22×C4—614no—
470C22×C4—614no—
471C22×C4—614no—
472C22×C4—614no—
473C22×C4—614no—
474C22×C4—614no—
475C22×C4—1222no—
476C22×C4—1222no—
477C22×C4—1222no—
478C22×C4—1222no—
479C22×C4—1222no—
480C22×C4—1222no—
481C22×C4—12232no—
482C22×C4—1222no—
483C22×C4—1222no—
484C22×C4—1222no—
485C22×C4—1222no—
486C22×C4—1222no—
487C22×C4—1222no—
488C22×C4—12232no—
489C22×C4—12232no—
490C22×C4—1222no—
491C22×C4—1222no—
492C22×C4—1222no—
493C22×C4—1222no—
494C22×C4—1222no—
495C22×C4—1222no—
496C22×C4—1222no—
497C22×C4—1222no—
498C22×C4—1222no—
499C22×C4—1222no—
500C22×C4—1222no—
501C22×C4—1222no—
502C22×C4—1222no—
503C22×C4—1222no—
504C22×C4—1222no—
505C22×C4—1222no—
506C22×C4—1222no—
507C22×C4—1222no—
508C22×C4—1222no—
509C22×C4—1222no—
510C22×C4—1222no—
511C22×C4—1222no—
512C22×C4C8×D6114yes—
513C22×C4#1175818914yes—
514C22×C4C2×C4×D6111yescharacteristic
515C22×C4C2×C4×D6111yescharacteristic
516C22×C4C2×C4×D6111yescharacteristic
517C22×C4C2×C4×D6111yescharacteristic
518C22×C4C2×C4×D6111yescharacteristic
519C22×C4#1175822214yes—
520C22×C4C23×D6111yescharacteristic
521C2×C8—24no—
522C2×C8—24no—
523C2×C8—24no—
524C2×C8—1224no—
525C2×C8—1224no—
526C2×C8—1224no—
527C42—22no—
528C42—22no—
529C42—22no—
530C42—614no—
531C42—614no—
532C42—614no—
533C42—1222no—
534C42—1222no—
535C42—1222no—
536C42—1222no—
537C42—1222no—
538C42—1222no—
539C42—1222no—
540C42—1222no—
541C42—1222no—
542C42D4×D6114yes—
543C23—21no—
544C23—21no—
545C23—21no—
546C23—21no—
547C23—612no—
548C23—612no—
549C23—612no—
550C23—612no—
551C23—612no—
552C23—612no—
553C23—1228no—
554C23—1228no—
555C23—1228no—
556C23—1228no—
557C23—1228no—
558C23—1228no—
559C23—1221no—
560C23—1221no—
561C23—1221no—
562C23—1221no—
563C23—1221no—
564C23—1221no—
565C23—1221no—
566C23—1221no—
567C23—1228no—
568C23#1451973412yes—
569C23C2×C8×D6112yes—
570C23C2×#1175818912yes—
571C23C22×C4×D6111yescharacteristic
572C2×C4—21no—
573C2×C4—21no—
574C2×C4—21no—
575C2×C4—21no—
576C2×C4—21no—
577C2×C4—21no—
578C2×C4—28no—
579C2×C4—28no—
580C2×C4—28no—
581C2×C4—612no—
582C2×C4—612no—
583C2×C4—612no—
584C2×C4—6116no—
585C2×C4—612no—
586C2×C4—612no—
587C2×C4—612no—
588C2×C4—612no—
589C2×C4—612no—
590C2×C4—1228no—
591C2×C4—1228no—
592C2×C4—1228no—
593C2×C4—1228no—
594C2×C4—1228no—
595C2×C4—1228no—
596C2×C4—1228no—
597C2×C4—1228no—
598C2×C4—1228no—
599C2×C4—1221no—
600C2×C4—1221no—
601C2×C4—1221no—
602C2×C4—1221no—
603C2×C4—1221no—
604C2×C4—1221no—
605C2×C4—1221no—
606C2×C4—1221no—
607C2×C4—1221no—
608C2×C4—1221no—
609C2×C4—1228no—
610C2×C4—1228no—
611C2×C4—1228no—
612C2×C4—1228no—
613C2×C4—1228no—
614C2×C4C22⋊C4×D6112yes—
615C2×C4C22⋊C4×D6112yes—
616C2×C4#1451973412yes—
617C2×C4C2×C8×D6112yes—
618C2×C4C2×C8×D6112yes—
619C2×C4M16×D6112yes—
620C2×C4M16×D6112yes—
621C2×C4C2×#1175818912yes—
622C2×C4C2×#1175818912yes—
623C2×C4C2×D4×D6112yes—
624C2×C4#41×D6112yes—
625C2×C4C2×#1175822212yes—
626C8—44no—
627C8—2444no—
628C22—22no—
629C22—22no—
630C22—22no—
631C22—22no—
632C22—22no—
633C22—22no—
634C22—614no—
635C22—614no—
636C22—12232no—
637C22—1222no—
638C22—1222no—
639C22—1222no—
640C22—1222no—
641C22—1222no—
642C22—1222no—
643C22—1222no—
644C22—1222no—
645C22—1222no—
646C22—1222no—
647C22—1222no—
648C22—1222no—
649C22#1683981314yescomplemented
650C22C2×C22⋊C4×D6111yescharacteristic
651C22#117×D6111yescharacteristic
652C22C2×#1451973411yescharacteristic
653C22C22×C8×D6111yescharacteristic
654C22C2×M16×D6111yescharacteristic
655C22C2×M16×D6111yescharacteristic
656C22C22×#1175818911yescharacteristic
657C4—22no—
658C4—22no—
659C4—22no—
660C4—614no—
661C4—1222no—
662C4—1222no—
663C4—1222no—
664C4—1222no—
665C4—1222no—
666C4C22⋊C8×D6114yes—
667C4#1683972414yes—
668C4#1684027114yes—
669C2—24no—
670C2—1224no—
671C2—1224no—
672C2#2144820011yescharacteristic
673C2C2×C22⋊C8×D6111yescharacteristic
674C2C2×#1683972411yescharacteristic
675C2#431×D6111yescharacteristic
676C2C2×#1683981311yescharacteristic
677C2#2145444711yescharacteristic
678C2#2145445011yescharacteristic
subgroupG/H
centerC2×C42C22×D61
commutatorC22×C61C23×C8
FrattiniC22×C4C23×D61
FittingC4×C22⋊C8×C61C2
socleC23×C61C23×C4
prime radicalC24×D61C2×C4
cosocleC22×C4×C61C24
hypercenterC4×C22⋊C8D61
hypocenterC61#20714
LCSG ▷ C22×C61 ▷ C61
UCSC1 ◁ C2×C42 ◁ C4×C22⋊C8

Complements

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

NH ≅ G/Ntype
2. C2×#16839813C2semidirect
3. #21445886C2semidirect
4. #21445798C2semidirect
5. #21445797C2semidirect
7. C4×#14519689C2semidirect
8. C4×C22⋊#92418C2semidirect
9. C4×C22⋊C8×C61C2semidirect
26. C2×#14519706C22semidirect
30. C2×C4×#92418C22semidirect
31. #16839517C22semidirect
32. #16839516C22semidirect
35. C2×C4×C8×C61C22semidirect
36. C61×#336C22semidirect
49. C22×C4×D61C8semidirect
285. C4×D61C22⋊C8semidirect
295. C22×C61#431semidirect
317. C2×D61#431semidirect
338. C4×C22⋊C8D61semidirect
372. C2×C4×C8C2×D61semidirect
375. #336C2×D61semidirect
376. C61#20714semidirect
649. C22#16839813semidirect

Maximal subgroups

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

subgroupindex
C22×C42×D612
C2×#168398132
#214458862
#214457982
#214457972
#214457282
C4×#145196892
C4×C22⋊#924182
C4×C22⋊C8×C612
#2071461