Finite Group Databasebeta

← #30550581

Subgroups — #30550581

Order 15616.

2394 conjugacy classes of subgroups.

The subgroup lattice has 700 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#subgroupG/Hclass sizemultiplicitynormal?properties
1C2×#16840272C212yesmaximal, complemented
2#21456606C214yesmaximal, complemented
3#21456599C214yesmaximal, complemented
4#21456594C211yesmaximal, characteristic, complemented
5#21456581C214yesmaximal, complemented
6#21456576C212yesmaximal, complemented
7#21455727C214yesmaximal, complemented
8#21455398C214yesmaximal, complemented
9#21455032C214yesmaximal, complemented
10C2×C22⋊C8×D61C211yesmaximal, characteristic, complemented
11C61×#3186C211yesmaximal, characteristic, complemented
12C22×#11758224C2212yescomplemented
13C23×C4×D61C2211yescharacteristic
14C2×#14519796C2214yescomplemented
15C22×C8×D61C2212yescomplemented
16#16840272—22no—
17#16840272—22no—
18#16840272—22no—
19#16840272—22no—
20#16840272C2214yes—
21#16840272C2214yes—
22#16840272C2214yescomplemented
23#16840272C2214yescomplemented
24C2×#14519759—22no—
25C2×#14519757C2212yescomplemented
26C2×#14519756C2212yes—
27C2×#14519748C2212yescomplemented
28C2×#14519745—22no—
29C2×D4×Dic61—22no—
30C2×#14519737—22no—
31C2×#14519735C2212yescomplemented
32#16840105C2218yescomplemented
33#16840098C2214yescomplemented
34#16840092C2214yescomplemented
35#16840084C2218yescomplemented
36#16840078C2214yescomplemented
37#16840004C2214yescomplemented
38#16840003C2214yescomplemented
39#16839995C2214yescomplemented
40#16839990C2218yescomplemented
41#16839989C2218yescomplemented
42#16839925C2218yescomplemented
43#16839920C2214yescomplemented
44#16839913C2214yescomplemented
45#16839904C2218yescomplemented
46#16839900C2214yescomplemented
47#16839799C2214yescomplemented
48#16839755C2218yescomplemented
49C2×C22⋊#92418C2211yescharacteristic
50C2×#14519689C2212yescomplemented
51C22⋊C8×D61C2214yescomplemented
52C22⋊C8×D61C2214yescomplemented
53C2×#121×C61C2212yes—
54C61×#480C2214yescomplemented
55C61×#466C2214yescomplemented
56C61×#447C2214yescomplemented
57C2×C22⋊C8×C61C2211yescharacteristic
58C24×D61D411yescharacteristic
59C2×#11758224—22no—
60C2×#11758224—22no—
61C2×#11758224—48no—
62C2×#11758224C2314yes—
63C2×#11758224C2314yes—
64C22×Dic122C2312yes—
65C22×C22⋊D61—22no—
66C22×C22⋊D61—22no—
67C23×Dic61—22no—
68C23×Dic61D411yescharacteristic
69C22×C4×D61—44no—
70C22×C4×D61D412yes—
71C22×C4×D61D412yes—
72C22×C4×D61D411yescharacteristic
73C22×C4×D61D411yescharacteristic
74C22×C4×D61C2312yes—
75C22×C4×D61C2311yescharacteristic
76C22×C4×D61C2312yes—
77C22×C4×D61C2311yescharacteristic
78#14519796—48no—
79C2×Dic244C2314yescomplemented
80C2×#11758200C2318yescomplemented
81C22×#92418C2312yes—
82C2×C8×D61—44no—
83C2×C8×D61C2314yes—
84C2×C8×D61C2314yes—
85#14519759—24no—
86#14519759—24no—
87#14519759—24no—
88#14519759—24no—
89#14519757—22no—
90#14519757—22no—
91#14519757C2314yes—
92#14519757C2314yes—
93#14519756—22no—
94#14519756—22no—
95#14519756C2314yes—
96#14519756C2314yes—
97#14519748—22no—
98#14519748—22no—
99#14519748C2314yes—
100#14519748C2314yes—
101#14519745—24no—
102#14519745—24no—
103#14519745—24no—
104#14519745—24no—
105D4×Dic61—24no—
106D4×Dic61—24no—
107D4×Dic61—24no—
108D4×Dic61—24no—
109#14519737—24no—
110#14519737—24no—
111#14519737—24no—
112#14519737—24no—
113#14519735—22no—
114#14519735—22no—
115#14519735C2314yes—
116#14519735C2314yes—
117C2×C4⋊Dic61—22no—
118C2×C4⋊Dic61C2312yes—
119C2×#11758196—22no—
120C2×C22⋊Dic61—22no—
121C2×C22⋊Dic61—22no—
122C2×#11758198—22no—
123C2×#11758198—22no—
124C2×C4×Dic61—22no—
125#14519711C2314yescomplemented
126#14519708C2318yescomplemented
127#14519702C2318yescomplemented
128#14519700C2318yescomplemented
129#14519698C2318yescomplemented
130C22⋊#92418C2314yes—
131#14519689C2318yes—
132C22×D4×C61—22no—
133C22×D4×C61C2312yes—
134C23×C4×C61C2311yescharacteristic
135C2×D8×C61C2314yescomplemented
136C22×C8×C61C2312yes—
137#121×C61—22no—
138#121×C61—22no—
139#121×C61C2314yes—
140#121×C61C2314yes—
141C2×C4⋊C4×C61C2312yes—
142C2×C22⋊C4×C61—22no—
143#107×C61C2314yescomplemented
144#102×C61C2318yescomplemented
145C22⋊C8×C61C2314yes—
146C24×C61—22no—
147C24×C61C2×D411yescharacteristic
148C23×D61—24no—
149C23×D61—42no—
150C23×D61—42no—
151C23×D61C2×D411yescharacteristic
152C23×D61C2×D412yes—
153C23×D61C2×D412yes—
154C23×D61C2×D411yescharacteristic
155C2×D4×C61—24no—
156C2×D4×C61—24no—
157C2×D4×C61—22no—
158C2×D4×C61—44no—
159C2×D4×C61—48no—
160C2×D4×C61C2414yes—
161C22×C4×C61—22no—
162C22×C4×C61—42no—
163C22×C4×C61C2×D412yes—
164C22×C4×C61C2×D411yescharacteristic
165C22×C4×C61C2412yes—
166C22×C4×C61C2411yescharacteristic
167C2×C22⋊D61—24no—
168C2×C22⋊D61—24no—
169C2×C22⋊D61—24no—
170C2×C22⋊D61—24no—
171C2×C22⋊D61—48no—
172C2×C22⋊D61—48no—
173C22×Dic61—22no—
174C22×Dic61—22no—
175C22×Dic61—24no—
176C22×Dic61—24no—
177C22×Dic61—42no—
178C22×Dic61—48no—
179C22×Dic61C2×D412yes—
180C22×Dic61C2×D411yescharacteristic
181C22×Dic61C2×D412yes—
182C22×Dic61C2×D411yescharacteristic
183#11758224—216no—
184#11758224—48no—
185#11758224—48no—
186#11758224—48no—
187C2×C4×D61—28no—
188C2×C4×D61—24no—
189C2×C4×D61—44no—
190C2×C4×D61—42no—
191C2×C4×D61—44no—
192C2×C4×D61—42no—
193C2×C4×D61—44no—
194C2×C4×D61—42no—
195C2×C4×D61C2×D412yes—
196C2×C4×D61C2×D412yes—
197C2×C4×D61C2×D411yescharacteristic
198C2×C4×D61C2×D411yescharacteristic
199C2×C4×D61C2×D412yes—
200C2×C4×D61C2×D412yes—
201C2×C4×D61C2×D412yes—
202C2×C4×D61C2412yes—
203C2×C4×D61C2411yescharacteristic
204C2×C4×D61C2411yescharacteristic
205C2×Dic122—22no—
206C2×Dic122—44no—
207C2×Dic122C2414yes—
208D8×C61—44no—
209C2×C8×C61—42no—
210C2×C8×C61C2414yes—
211C4⋊C4×C61—22no—
212C4⋊C4×C61C2414yes—
213C22⋊C4×C61—24no—
214C22⋊C4×C61—24no—
215C22⋊Dic61—24no—
216C22⋊Dic61—24no—
217C22⋊Dic61—24no—
218C22⋊Dic61—24no—
219#11758200—48no—
220#11758198—24no—
221#11758198—24no—
222#11758198—24no—
223#11758198—24no—
224C4⋊Dic61—22no—
225C4⋊Dic61—24no—
226C4⋊Dic61—24no—
227C4⋊Dic61C2414yes—
228#11758196—24no—
229#11758196—24no—
230C4×Dic61—24no—
231C4×Dic61—24no—
232C2×#92418—42no—
233C2×#92418C2414yes—
234Dic244—44no—
235C8×D61—28no—
236C8×D61—44no—
237C23×C61—24no—
238C23×C61—41no—
239C23×C61—41no—
240C23×C61—44no—
241C23×C61—44no—
242C23×C61—44no—
243C23×C61#13514yescomplemented
244C23×C61C22×D411yescharacteristic
245C23×C61C22×D412yes—
246C22×D61—22no—
247C22×D61—22no—
248C22×D61—22no—
249C22×D61—24no—
250C22×D61—24no—
251C22×D61—22no—
252C22×D61—24no—
253C22×D61—24no—
254C22×D61—42no—
255C22×D61—41no—
256C22×D61—42no—
257C22×D61—41no—
258C22×D61—416no—
259C22×D61C22×D412yes—
260C22×D61C22×D411yescharacteristic
261C22×D61C22×D411yescharacteristic
262D4×C61—28no—
263D4×C61—44no—
264D4×C61—48no—
265D4×C61—48no—
266C2×C4×C61—22no—
267C2×C4×C61—24no—
268C2×C4×C61—24no—
269C2×C4×C61—41no—
270C2×C4×C61—42no—
271C2×C4×C61—44no—
272C2×C4×C61C22×D411yescharacteristic
273C2×C4×C61C22×D412yes—
274C2×C4×C61C2511yescharacteristic
275C22⋊D61—48no—
276C22⋊D61—48no—
277C22⋊D61—48no—
278C22⋊D61—48no—
279C2×Dic61—24no—
280C2×Dic61—22no—
281C2×Dic61—24no—
282C2×Dic61—24no—
283C2×Dic61—41no—
284C2×Dic61—42no—
285C2×Dic61—48no—
286C2×Dic61—44no—
287C2×Dic61—44no—
288C2×Dic61—48no—
289C2×Dic61C22×D412yes—
290C2×Dic61C22×D411yescharacteristic
291C2×Dic61C22×D411yescharacteristic
292C4×D61—22no—
293C4×D61—24no—
294C4×D61—22no—
295C4×D61—24no—
296C4×D61—22no—
297C4×D61—24no—
298C4×D61—42no—
299C4×D61—42no—
300C4×D61—42no—
301C4×D61H(5,𝔽2)14yes—
302Dic122—28no—
303Dic122—44no—
304C8×C61—24no—
305#92418—24no—
306#60734—611nomaximal, Sylow
307C22×C61—22no—
308C22×C61—21no—
309C22×C61—22no—
310C22×C61—21no—
311C22×C61—44no—
312C22×C61—44no—
313C22×C61—44no—
314C22×C61—44no—
315C22×C61—88no—
316C22×C61C2×#13514yes—
317C22×C61C2×#13512yes—
318C22×C61C23×D411yescharacteristic
319C2×D61—28no—
320C2×D61—21no—
321C2×D61—21no—
322C2×D61—21no—
323C2×D61—21no—
324C2×D61—22no—
325C2×D61—22no—
326C2×D61—22no—
327C2×D61—48no—
328C2×D61—48no—
329C2×D61—44no—
330C2×D61#53412yes—
331C2×D61#57512yes—
332C4×C61—22no—
333C4×C61—21no—
334C4×C61—44no—
335C4×C61C2×H(5,𝔽2)12yes—
336Dic61—22no—
337Dic61—21no—
338Dic61—44no—
339Dic61—44no—
340Dic61#53412yes—
341C2×#525—612no—
342#3191—614no—
343#3190—614no—
344#3189—611no—
345#3188—614no—
346#3187—612no—
347#3186D6111yescharacteristic, complemented
348#3091—614no—
349#3050—614no—
350#3002—614no—
351C22×C22⋊C8—611no—
352C2×C61—22no—
353C2×C61—24no—
354C2×C61—84no—
355C2×C61C2×#53411yescharacteristic
356C2×C61C22×#13511yescharacteristic
357C2×C61C2×#57511yescharacteristic
358D61—22no—
359D61—22no—
360D61—42no—
361C22×#41—612no—
362C24×C4—611no—
363C2×#135—614no—
364C23×C8—612no—
365#525—614no—
366#525—614no—
367#525—614no—
368#525—614no—
369#525—1222no—
370#525—1222no—
371#525—1222no—
372#525—1222no—
373C2×#123—1222no—
374C2×C22⋊Q8—612no—
375C2×C22⋊Q8—612no—
376C2×#121—612no—
377C2×#121C2×D6112yes—
378C2×#120—1222no—
379C2×C4×D4—1222no—
380C2×C4×D4—1222no—
381C2×#117—612no—
382#485—618no—
383#484—614no—
384#483—614no—
385#482—618no—
386#481—614no—
387#480C2×D6114yescomplemented
388#467—614no—
389#467—614no—
390#466—614no—
391#466C2×D6114yescomplemented
392#465—618no—
393#465—618no—
394#452—618no—
395#451—614no—
396#450—614no—
397#449—618no—
398#448—614no—
399#447C2×D6114yescomplemented
400#427—614no—
401#416—618no—
402C2×C22⋊C8—611no—
403C2×C22⋊C8—612no—
404C2×C22⋊C8—614no—
405C2×C22⋊C8—614no—
406C2×C22⋊C8C2×D6111yescharacteristic
407C61#6073411yescharacteristic, complemented, Sylow
408C25—611no—
409C2×#41—614no—
410C2×#41—614no—
411C2×#41—1222no—
412C2×#41—1222no—
413C2×#41—2448no—
414C22×Q8—612no—
415C22×D4—22no—
416C22×D4—1222no—
417C22×D4—1222no—
418C22×D4C22×D6112yes—
419C23×C4—611no—
420C23×C4—612no—
421C23×C4—611no—
422C23×C4—612no—
423C23×C4—612no—
424C23×C4—611no—
425C23×C4—611no—
426C23×C4—612no—
427C23×C4—611no—
428C23×C4—1222no—
429C23×C4—2444no—
430C23×C4C22×D6111yescharacteristic
431#135—2448no—
432C2×Q16—614no—
433C2×SD16—618no—
434C2×D8C22×D6114yescomplemented
435C22×C8—612no—
436C22×C8—614no—
437C22×C8—614no—
438C22×C8—2444no—
439C22×C8C22×D6112yes—
440#123—1224no—
441#123—1224no—
442#123—1224no—
443#123—1224no—
444C22⋊Q8—614no—
445C22⋊Q8—614no—
446C22⋊Q8—614no—
447C22⋊Q8—614no—
448C22⋊Q8—1222no—
449C22⋊Q8—1222no—
450C22⋊Q8—1222no—
451C22⋊Q8—1222no—
452#121—22no—
453#121—22no—
454#121—614no—
455#121—614no—
456#121—1222no—
457#121—1222no—
458#121C22×D6114yes—
459#121C22×D6114yes—
460#120—1224no—
461#120—1224no—
462#120—1224no—
463#120—1224no—
464C4×D4—1224no—
465C4×D4—1224no—
466C4×D4—1224no—
467C4×D4—1224no—
468C4×D4—1224no—
469C4×D4—1224no—
470C4×D4—1224no—
471C4×D4—1224no—
472#117—614no—
473#117—614no—
474#117—1222no—
475#117—1222no—
476C2×C4⋊C4—612no—
477C2×C4⋊C4—1222no—
478C2×C4⋊C4—1222no—
479C2×C4⋊C4C22×D6112yes—
480C2×C22⋊C4—22no—
481C2×C22⋊C4—1222no—
482C2×C22⋊C4—1222no—
483C2×C22⋊C4—1222no—
484C2×C22⋊C4—1222no—
485C2×C42—1222no—
486#107—614no—
487#107C22×D6114yescomplemented
488#106—618no—
489#103—618no—
490#103—618no—
491#102—618no—
492#102C22×D6118yescomplemented
493C22⋊C8—614no—
494C22⋊C8—618no—
495C22⋊C8C22×D6114yes—
496C24—22no—
497C24—611no—
498C24—612no—
499C24—612no—
500C24—611no—
501C24—1224no—
502C24—2442no—
503C24—2442no—
504C24D4×D6111yescharacteristic
505#41—12216no—
506#41—2448no—
507#41—2448no—
508#41—2448no—
509C2×Q8—614no—
510C2×Q8—1222no—
511C2×Q8—2444no—
512C2×D4—24no—
513C2×D4—24no—
514C2×D4—22no—
515C2×D4—44no—
516C2×D4—48no—
517C2×D4—1224no—
518C2×D4—1224no—
519C2×D4—1224no—
520C2×D4—1224no—
521C2×D4—2448no—
522C2×D4—2448no—
523C2×D4C23×D6114yes—
524C22×C4—22no—
525C22×C4—42no—
526C22×C4—611no—
527C22×C4—612no—
528C22×C4—611no—
529C22×C4—612no—
530C22×C4—611no—
531C22×C4—612no—
532C22×C4—612no—
533C22×C4—611no—
534C22×C4—611no—
535C22×C4—612no—
536C22×C4—611no—
537C22×C4—612no—
538C22×C4—612no—
539C22×C4—612no—
540C22×C4—1224no—
541C22×C4—1228no—
542C22×C4—1224no—
543C22×C4—1224no—
544C22×C4—1222no—
545C22×C4—1222no—
546C22×C4—2442no—
547C22×C4—2444no—
548C22×C4—2444no—
549C22×C4—2442no—
550C22×C4—2444no—
551C22×C4—2442no—
552C22×C4—2442no—
553C22×C4—2448no—
554C22×C4D4×D6112yes—
555C22×C4D4×D6111yescharacteristic
556C22×C4C23×D6112yes—
557C22×C4C23×D6111yescharacteristic
558Q16—2444no—
559SD16—2448no—
560D8—44no—
561C2×C8—42no—
562C2×C8—614no—
563C2×C8—1228no—
564C2×C8—2444no—
565C2×C8—2442no—
566C2×C8C23×D6114yes—
567C4⋊C4—22no—
568C4⋊C4—614no—
569C4⋊C4—1224no—
570C4⋊C4—1224no—
571C4⋊C4—1222no—
572C4⋊C4—1224no—
573C4⋊C4—1224no—
574C4⋊C4C23×D6114yes—
575C22⋊C4—24no—
576C22⋊C4—24no—
577C22⋊C4—1224no—
578C22⋊C4—1224no—
579C22⋊C4—1224no—
580C22⋊C4—1224no—
581C22⋊C4—1224no—
582C22⋊C4—1224no—
583C22⋊C4—1224no—
584C22⋊C4—1224no—
585C42—1224no—
586C42—1224no—
587C23—24no—
588C23—41no—
589C23—41no—
590C23—44no—
591C23—44no—
592C23—44no—
593C23—611no—
594C23—611no—
595C23—612no—
596C23—1222no—
597C23—1222no—
598C23—1224no—
599C23—1224no—
600C23—1222no—
601C23—1224no—
602C23—1224no—
603C23—1222no—
604C23—2442no—
605C23—2441no—
606C23—2442no—
607C23—2441no—
608C23—24416no—
609C23#1451979614yescomplemented
610C23C2×D4×D6111yescharacteristic
611C23C2×D4×D6112yes—
612Q8—1228no—
613Q8—2444no—
614D4—28no—
615D4—44no—
616D4—48no—
617D4—48no—
618D4—2448no—
619D4—2448no—
620D4—2448no—
621D4—2448no—
622C2×C4—22no—
623C2×C4—24no—
624C2×C4—24no—
625C2×C4—42no—
626C2×C4—41no—
627C2×C4—44no—
628C2×C4—611no—
629C2×C4—614no—
630C2×C4—612no—
631C2×C4—611no—
632C2×C4—1222no—
633C2×C4—1224no—
634C2×C4—1222no—
635C2×C4—1224no—
636C2×C4—1222no—
637C2×C4—1224no—
638C2×C4—1222no—
639C2×C4—1224no—
640C2×C4—1224no—
641C2×C4—1224no—
642C2×C4—2442no—
643C2×C4—2442no—
644C2×C4—2442no—
645C2×C4—2448no—
646C2×C4—2442no—
647C2×C4—2441no—
648C2×C4—2448no—
649C2×C4—2444no—
650C2×C4—2444no—
651C2×C4C2×D4×D6111yescharacteristic
652C2×C4C2×D4×D6112yes—
653C2×C4C24×D6111yescharacteristic
654C8—24no—
655C8—1224no—
656C22—22no—
657C22—21no—
658C22—22no—
659C22—21no—
660C22—44no—
661C22—44no—
662C22—44no—
663C22—44no—
664C22—88no—
665C22—612no—
666C22—612no—
667C22—1228no—
668C22—1221no—
669C22—1221no—
670C22—1221no—
671C22—1221no—
672C22—1222no—
673C22—1222no—
674C22—1222no—
675C22—2448no—
676C22—2448no—
677C22—2444no—
678C22C2×#1451979614yes—
679C22C2×#1451979612yes—
680C22C22×D4×D6111yescharacteristic
681C4—21no—
682C4—22no—
683C4—44no—
684C4—612no—
685C4—1221no—
686C4—1222no—
687C4—2444no—
688C4—2444no—
689C4H(5,𝔽2)×D6112yes—
690C2—24no—
691C2—22no—
692C2—84no—
693C2—1222no—
694C2—1222no—
695C2—2442no—
696C2#534×D6111yescharacteristic
697C2C22×#1451979611yescharacteristic
698C2#575×D6111yescharacteristic
subgroupG/H
centerC22C22×D4×D61
commutator, cosocleC2×C4×C61C25
FrattiniC2×C4C24×D61
FittingC61×#3186C2
socleC22×C61C23×D4
hypercenter#3186D61
hypocenterC61#60734
LCSG ▷ C2×C4×C61 ▷ C2×C61 ▷ C61
UCSC1 ◁ C22 ◁ C23×C4 ◁ #3186

Complements

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

NH ≅ G/Ntype
1. C2×#16840272C2semidirect
2. #21456606C2semidirect
3. #21456599C2semidirect
4. #21456594C2semidirect
5. #21456581C2semidirect
6. #21456576C2semidirect
7. #21455727C2semidirect
8. #21455398C2semidirect
9. #21455032C2semidirect
10. C2×C22⋊C8×D61C2semidirect
11. C61×#3186C2semidirect
12. C22×#11758224C22semidirect
14. C2×#14519796C22semidirect
15. C22×C8×D61C22semidirect
22. #16840272C22semidirect
23. #16840272C22semidirect
25. C2×#14519757C22semidirect
27. C2×#14519748C22semidirect
31. C2×#14519735C22semidirect
32. #16840105C22semidirect
33. #16840098C22semidirect
34. #16840092C22semidirect
35. #16840084C22semidirect
36. #16840078C22semidirect
37. #16840004C22semidirect
38. #16840003C22semidirect
39. #16839995C22semidirect
40. #16839990C22semidirect
41. #16839989C22semidirect
42. #16839925C22semidirect
43. #16839920C22semidirect
44. #16839913C22semidirect
45. #16839904C22semidirect
46. #16839900C22semidirect
47. #16839799C22semidirect
48. #16839755C22semidirect
50. C2×#14519689C22semidirect
51. C22⋊C8×D61C22semidirect
52. C22⋊C8×D61C22semidirect
54. C61×#480C22semidirect
55. C61×#466C22semidirect
56. C61×#447C22semidirect
79. C2×Dic244C23semidirect
80. C2×#11758200C23semidirect
125. #14519711C23semidirect
126. #14519708C23semidirect
127. #14519702C23semidirect
128. #14519700C23semidirect
129. #14519698C23semidirect
135. C2×D8×C61C23semidirect
143. #107×C61C23semidirect
144. #102×C61C23semidirect
243. C23×C61#135semidirect
347. #3186D61semidirect
387. #480C2×D61semidirect
391. #466C2×D61semidirect
399. #447C2×D61semidirect
407. C61#60734semidirect
434. C2×D8C22×D61semidirect
487. #107C22×D61semidirect
492. #102C22×D61semidirect
609. C23#14519796semidirect

Maximal subgroups

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

subgroupindex
C2×#168402722
#214566062
#214565992
#214565942
#214565812
#214565762
#214557272
#214553982
#214550322
C2×C22⋊C8×D612
C61×#31862
#6073461