Finite Group Databasebeta

← Group #11788684

Character table — Group #11788684

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size111122222222222222444444444444444444448888888888888888888888121212121212121218181818242424242424242424242424242424242424242436367272
order122222334444666666366666666666121212121212121244121212121212121212121212121212121212121222448888888866888812122424242424242424242424248844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-111111111-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-1
χ611111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-111
χ711111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111
χ811111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-11111-1-1-1-1111111-1-1
χ91-11-11-11111-1-1-1-1-1-11111-11-111-1-1-1-11111-1-1-1-111-111-1-111-1-111-1-11111-1-1-1-11-11-1ii−i−iii−i−i1-11-1i−i1-111-1-1ii−i−iii−i−ii−ii−i
χ101-11-11-11111-1-1-1-1-1-11111-11-111-1-1-1-11111-1-1-1-111-111-1-111-1-111-1-11111-1-1-1-11-11-1−i−iii−i−iii1-11-1−ii1-111-1-1−i−iii−i−iii−ii−ii
χ111-11-11-11111-1-1-1-1-1-11111-11-111-1-1-1-11111-1-1-1-111-111-1-111-1-111-1-11111-1-1-1-1-11-11ii−i−i−i−iii-11-11i−i-11-1-111ii−i−iii−i−i−ii−ii
χ121-11-11-11111-1-1-1-1-1-11111-11-111-1-1-1-11111-1-1-1-111-111-1-111-1-111-1-11111-1-1-1-1-11-11−i−iiiii−i−i-11-11−ii-11-1-111−i−iii−i−iiii−ii−i
χ131-11-11-11111-1-1-1-1-1-11111-11-111-1-1-1-11111-1-1-1-11-11-1-111-1-11111-1-1-1-1-1-111111-11-1ii−i−iii−i−i1-1-11−ii1-1-1-111ii−i−i−i−iiii−i−ii
χ141-11-11-11111-1-1-1-1-1-11111-11-111-1-1-1-11111-1-1-1-11-11-1-111-1-11111-1-1-1-1-1-111111-11-1−i−iii−i−iii1-1-11i−i1-1-1-111−i−iiiii−i−i−iii−i
χ151-11-11-11111-1-1-1-1-1-11111-11-111-1-1-1-11111-1-1-1-11-11-1-111-1-11111-1-1-1-1-1-11111-11-11ii−i−i−i−iii-111-1−ii-1111-1-1ii−i−i−i−iii−iii−i
χ161-11-11-11111-1-1-1-1-1-11111-11-111-1-1-1-11111-1-1-1-11-11-1-111-1-11111-1-1-1-1-1-11111-11-11−i−iiiii−i−i-111-1i−i-1111-1-1−i−iiiii−i−ii−i−ii
χ1722222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000002i−2i2i−2i00000000000000002i−2i2i−2i00000000
χ1822222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000−2i2i−2i2i0000000000000000−2i2i−2i2i00000000
χ192222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-122-1-1-122-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200000000-1-12200-1-1-1-1-1-1000000000000
χ202222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-122-1-1-122-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000000011-2-200111111000000000000
χ212222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-122-1-1-122-1-2-2-2-2-2-21111-1-1-1-111111111222200000000-1-1-2-200-1-11111000000000000
χ222222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-122-1-1-122-1-2-2-2-2-2-21111-1-1-1-111111111-2-2-2-20000000011220011-1-1-1-1000000000000
χ23222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000022220000000022000000-1-1-1-1-1-1-1-10000
χ24222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-200000000-2-2000000111111110000
χ25222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-12-2-21111-2-2-2-2-1-1-1-1111111110000222200000000-2-2000000-1-1-1-111110000
χ26222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-12-2-21111-2-2-2-2-1-1-1-1111111110000-2-2-2-200000000220000001111-1-1-1-10000
χ27222222-12-2-2-2-2-1-122-12-1-1-122-1-1-1-1-1-1-111-2-2-211-200−i3i3−i3i300001111−i3−i3i3i3−i3−i3i3i300002i−2i2i−2i0000000000000000−ii−ii3−33−30000
χ28222222-12-2-2-2-2-1-122-12-1-1-122-1-1-1-1-1-1-111-2-2-211-200−i3i3−i3i300001111−i3−i3i3i3−i3−i3i3i30000−2i2i−2i2i0000000000000000i−ii−i−33−330000
χ29222222-12-2-2-2-2-1-122-12-1-1-122-1-1-1-1-1-1-111-2-2-211-200i3−i3i3−i300001111i3i3−i3−i3i3i3−i3−i300002i−2i2i−2i0000000000000000−ii−ii−33−330000
χ30222222-12-2-2-2-2-1-122-12-1-1-122-1-1-1-1-1-1-111-2-2-211-200i3−i3i3−i300001111i3i3−i3−i3i3i3−i3−i30000−2i2i−2i2i0000000000000000i−ii−i3−33−30000
χ312222-2-2222-2-222222222-2-2-2-2-2-222-2-222-222-22-2-200000000002-22-20000000000000000222200000000000000000000-2-200
χ322222-2-2222-2-222222222-2-2-2-2-2-222-2-222-222-22-2-200000000002-22-20000000000000000-2-2-2-2000000000000000000002200
χ332222-2-222-222-22222222-2-2-2-2-2-222-2-22-22-2-22-2220000000000-22-220000000022-2-200000000220000-2-20000000000000000
χ342222-2-222-222-22222222-2-2-2-2-2-222-2-22-22-2-22-2220000000000-22-2200000000-2-22200000000-2-20000220000000000000000
χ352222-2-22-1-222-222-1-12-1-1-2-21111-1-111-1-2211-1-22-1000000−i3i3−i3i31-11-1−i3i3−i3i3−i3i3−i3i322-2-200000000-1-1000011−i3i3−i3i3000000000000
χ362222-2-22-1-222-222-1-12-1-1-2-21111-1-111-1-2211-1-22-1000000−i3i3−i3i31-11-1−i3i3−i3i3−i3i3−i3i3-2-22200000000110000-1-1i3−i3i3−i3000000000000
χ372222-2-22-1-222-222-1-12-1-1-2-21111-1-111-1-2211-1-22-1000000i3−i3i3−i31-11-1i3−i3i3−i3i3−i3i3−i322-2-200000000-1-1000011i3−i3i3−i3000000000000
χ382222-2-22-1-222-222-1-12-1-1-2-21111-1-111-1-2211-1-22-1000000i3−i3i3−i31-11-1i3−i3i3−i3i3−i3i3−i3-2-22200000000110000-1-1−i3i3−i3i3000000000000
χ392-22-22-222-2-222-2-2-2-22222-22-222-2-2-2-22-2-2-22222-20000000000-2-2220000000000002-2-2200000000000000002-2-2200000000
χ402-22-22-222-2-222-2-2-2-22222-22-222-2-2-2-22-2-2-22222-20000000000-2-222000000000000-222-20000000000000000-222-200000000
χ412-22-22-22-122-2-2-2-2112-1-12-2-11-1-11111-122-111-2-2-12-222-2-2-1-111-1-111-1-1-1-111112-22-200000000-112-200-11-1-111000000000000
χ422-22-22-22-122-2-2-2-2112-1-12-2-11-1-11111-122-111-2-2-12-222-2-2-1-111-1-111-1-1-1-11111-22-22000000001-1-22001-111-1-1000000000000
χ432-22-22-22-122-2-2-2-2112-1-12-2-11-1-11111-122-111-2-2-1-22-2-22211-1-1-1-1111111-1-1-1-12-22-200000000-11-2200-1111-1-1000000000000
χ442-22-22-22-122-2-2-2-2112-1-12-2-11-1-11111-122-111-2-2-1-22-2-22211-1-1-1-1111111-1-1-1-1-22-22000000001-12-2001-1-1-111000000000000
χ452-22-22-2-1222-2-211-2-2-12-1-112-2-1-11111-1-1-12-2-21122-2-1-11122-2-2-1-111-1-1-1-1111100002i2i−2i−2i000000002i−2i000000−i−iii−i−iii0000
χ462-22-22-2-1222-2-211-2-2-12-1-112-2-1-11111-1-1-12-2-21122-2-1-11122-2-2-1-111-1-1-1-111110000−2i−2i2i2i00000000−2i2i000000ii−i−iii−i−i0000
χ472-22-22-2-1222-2-211-2-2-12-1-112-2-1-11111-1-1-12-2-2112-2211-1-1-2-222-1-1111111-1-1-1-100002i2i−2i−2i00000000−2i2i000000−i−iiiii−i−i0000
χ482-22-22-2-1222-2-211-2-2-12-1-112-2-1-11111-1-1-12-2-2112-2211-1-1-2-222-1-1111111-1-1-1-10000−2i−2i2i2i000000002i−2i000000ii−i−i−i−iii0000
χ492-22-22-2-12-2-22211-2-2-12-1-112-2-1-11111-111-222-1-1-200−i3i3i3−i3000011-1-1−i3−i3i3i3i3i3−i3−i300002-2-220000000000000000-111-1−i3i3i3−i30000
χ502-22-22-2-12-2-22211-2-2-12-1-112-2-1-11111-111-222-1-1-200−i3i3i3−i3000011-1-1−i3−i3i3i3i3i3−i3−i30000-222-200000000000000001-1-11i3−i3−i3i30000
χ512-22-22-2-12-2-22211-2-2-12-1-112-2-1-11111-111-222-1-1-200i3−i3−i3i3000011-1-1i3i3−i3−i3−i3−i3i3i300002-2-220000000000000000-111-1i3−i3−i3i30000
χ522-22-22-2-12-2-22211-2-2-12-1-112-2-1-11111-111-222-1-1-200i3−i3−i3i3000011-1-1i3i3−i3−i3−i3−i3i3i30000-222-200000000000000001-1-11−i3i3i3−i30000
χ532-22-2-22222-22-2-2-2-2-2222-22-22-2-2-2-22222-22-22-22-200000000002-2-2200000000000000002i2i−2i−2i00000000000000000000−2i2i00
χ542-22-2-22222-22-2-2-2-2-2222-22-22-2-2-2-22222-22-22-22-200000000002-2-220000000000000000−2i−2i2i2i000000000000000000002i−2i00
χ552-22-2-2222-22-22-2-2-2-2222-22-22-2-2-2-2222-22-22-22-220000000000-222-2000000002-2-22000000002-20000-220000000000000000
χ562-22-2-2222-22-22-2-2-2-2222-22-22-2-2-2-2222-22-22-22-220000000000-222-200000000-222-200000000-2200002-20000000000000000
χ572-22-2-222-1-22-22-2-2112-1-1-221-11111-1-1-1-221-112-2-1000000−i3i3i3−i31-1-11−i3i3−i3i3i3−i3i3−i32-2-2200000000-1100001-1−i3i3i3−i3000000000000
χ582-22-2-222-1-22-22-2-2112-1-1-221-11111-1-1-1-221-112-2-1000000−i3i3i3−i31-1-11−i3i3−i3i3i3−i3i3−i3-222-2000000001-10000-11i3−i3−i3i3000000000000
χ592-22-2-222-1-22-22-2-2112-1-1-221-11111-1-1-1-221-112-2-1000000i3−i3−i3i31-1-11i3−i3i3−i3−i3i3−i3i32-2-2200000000-1100001-1i3−i3−i3i3000000000000
χ602-22-2-222-1-22-22-2-2112-1-1-221-11111-1-1-1-221-112-2-1000000i3−i3−i3i31-1-11i3−i3i3−i3−i3i3−i3i3-222-2000000001-10000-11−i3i3i3−i3000000000000
χ614444444-2-4-4-4-444-2-24-2-244-2-2-2-2-2-2-2-2-2-4-4222-4-420000000000222200000000000000000000000000000000000000000000
χ62444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ64444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-211111112222222200−2i32i3−2i32i30000-1-1-1-1i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111111122222222002i3−2i32i3−2i30000-1-1-1-1−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000
χ664444-4-44-24-4-4444-2-24-2-2-4-42222-2-222-24-4-2-224-420000000000-22-2200000000000000000000000000000000000000000000
χ674444-4-4-244-4-44-2-244-24-222-4-422-2-222-2-2244-4-22-40000000000-22-2200000000000000000000000000000000000000000000
χ684444-4-4-24-444-4-2-244-24-222-4-422-2-222-22-2-4-442-2400000000002-22-200000000000000000000000000000000000000000000
χ694444-4-4-2-24-4-44-2-2-2-2-2-212222-1-111-1-11-22-2-22-22200000000001-11-13-3-333-3-33000000000000000000000000000000000000
χ704444-4-4-2-24-4-44-2-2-2-2-2-212222-1-111-1-11-22-2-22-22200000000001-11-1-333-3-333-3000000000000000000000000000000000000
χ714444-4-4-2-2-444-4-2-2-2-2-2-212222-1-111-1-112-222-22-2-2000000−2i32i3−2i32i3-11-11i3−i3i3−i3i3−i3i3−i3000000000000000000000000000000000000
χ724444-4-4-2-2-444-4-2-2-2-2-2-212222-1-111-1-112-222-22-2-20000002i3−2i32i3−2i3-11-11−i3i3−i3i3−i3i3−i3i3000000000000000000000000000000000000
χ7344-4-4004400004-44-4-4-440000004-400-40000000000000000000000000000000000000022−2222−22000000000000000000000000
χ7444-4-4004400004-44-4-4-440000004-400-400000000000000000000000000000000000000−2222−2222000000000000000000000000
χ754-44-44-44-2-4-444-4-4224-2-24-4-22-2-22222-2-4-42-2-2442000000000022-2-200000000000000000000000000000000000000000000
χ764-44-44-4-2-244-4-42222-2-21-22-2211-1-1-1-11-2-2-22222-24-4-2-222-2-22211-1-11111-1-1-1-1000000000000000000000000000000000000
χ774-44-44-4-2-244-4-42222-2-21-22-2211-1-1-1-11-2-2-22222-2-4422-2-222-2-211-1-1-1-1-1-11111000000000000000000000000000000000000
χ784-44-44-4-2-2-4-4442222-2-21-22-2211-1-1-1-11222-2-2-2-2200−2i32i32i3−2i30000-1-111i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000
χ794-44-44-4-2-2-4-4442222-2-21-22-2211-1-1-1-11222-2-2-2-22002i3−2i3−2i32i30000-1-111−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000
χ804-44-4-444-24-44-4-4-4224-2-2-442-22222-2-2-24-4-22-2-4420000000000-222-200000000000000000000000000000000000000000000
χ814-44-4-44-244-44-422-4-4-24-22-2-442222-2-2-2-224-442-2-40000000000-222-200000000000000000000000000000000000000000000
χ824-44-4-44-24-44-4422-4-4-24-22-2-442222-2-2-22-2-44-4-22400000000002-2-2200000000000000000000000000000000000000000000
χ834-44-4-44-2-24-44-42222-2-212-22-2-1-1-1-1111-22-22-22-2200000000001-1-113-3-33-333-3000000000000000000000000000000000000
χ844-44-4-44-2-24-44-42222-2-212-22-2-1-1-1-1111-22-22-22-2200000000001-1-11-333-33-3-33000000000000000000000000000000000000
χ854-44-4-44-2-2-44-442222-2-212-22-2-1-1-1-11112-22-22-22-2000000−2i32i32i3−2i3-111-1i3−i3i3−i3−i3i3−i3i3000000000000000000000000000000000000
χ864-44-4-44-2-2-44-442222-2-212-22-2-1-1-1-11112-22-22-22-20000002i3−2i3−2i32i3-111-1−i3i3−i3i3i3−i3i3−i3000000000000000000000000000000000000
χ874-4-4400440000-44-44-4-44000000-4400-400000000000000000000000000000000000000−2i22i22i2−2i2000000000000000000000000
χ884-4-4400440000-44-44-4-44000000-4400-4000000000000000000000000000000000000002i2−2i2−2i22i2000000000000000000000000
χ8988-8-8008-400008-8-44-84-4000000-44004000000000000000000000000000000000000000000000000000000000000000000
χ9088-8-800-480000-448-84-8-4000000-44004000000000000000000000000000000000000000000000000000000000000000000
χ9188-8-800-4-40000-44-4444200006-62-26-6-2000000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-44-444420000-662-2-66-2000000000000000000000000000000000000000000000000000000000000000000
χ938-8-88008-40000-884-4-84-40000004-4004000000000000000000000000000000000000000000000000000000000000000000
χ948-8-8800-4800004-4-884-8-40000004-4004000000000000000000000000000000000000000000000000000000000000000000
χ958-8-8800-4-400004-44-444200006-6-22-66-2000000000000000000000000000000000000000000000000000000000000000000
χ968-8-8800-4-400004-44-44420000-66-226-6-2000000000000000000000000000000000000000000000000000000000000000000

Here i is the imaginary unit (i² = −1).