Finite Group Databasebeta

← Group #11889249

Character table — Group #11889249

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222244444444444444444444444444444888888888888888888121212121212121212121212242424242424242424242424242424242424363636367272
order1222334444666666223444666661212121212121212121212121212121212126666666121212121212121212121222446666121212122444446612121212121212121212888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-111-1-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-1-111-11-1-1-1-1-1-1111111-1-1-1-1-1-1
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ511111111111111111-11-1-1-1-1-1111-1-111111111-1-1-1-111111-1111-1-1-1-1-1-1-1-1-111-1-1111111111111-1-11-11-1-1-1-1-111-1-111-1-11111-1-1
χ611111111111111111-11-1-1-1-1-1111-1-111111111-1-1-1-111111-1111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1111-1-1-1-11111-1-111-1-1-1-111
χ711111111111111111-11-1-1-1-1-1111-1-111111111-1-1-1-111111-1111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111111-1-1-11111-1-1-1-111-1-1-1-1-1-111
χ811111111111111111-11-1-1-1-1-1111-1-111111111-1-1-1-111111-1111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-111111-1-111-1-1111111-1-1
χ9111111-1-111111111-111-1-1111111-1-11111-1-1-1-111-1-11111-11-1-1-111-1-11-1-1-1-1-1-1111111111111111-1-11-1-111-1-1-1-1-1-1-1-11111-1-1-11
χ10111111-1-111111111-111-1-1111111-1-11111-1-1-1-111-1-11111-11-1-1-111-1-11-1-1-1-1-1-11111-1-11111-1-1-1-11-11-1-1111-1-1-1-11111-1-1-1-1111-1
χ11111111-1-111111111-111-1-1111111-1-11111-1-1-1-111-1-11111-11-1-1-111-1-11-1-1-1-1-1-111-1-111-1-1-1-11111-11-111-1-1-11111-1-1-1-111-1-1111-1
χ12111111-1-111111111-111-1-1111111-1-11111-1-1-1-111-1-11111-11-1-1-111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-111111111-1-111-1-1-11
χ13111111-1-111111111-1-1111-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-111-11111-1-1-1-1111111111111-11-1-1-11-1-111-1-111-1-1-1-111-1-11-1
χ14111111-1-111111111-1-1111-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-111-11111-1-1-1-111-1-11111-1-1-1-1-1111-1-1-1-111-1-1-1-11111-1-111-11
χ15111111-1-111111111-1-1111-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-111-11111-1-1-1-1-1-111-1-1-1-111111-1-1-11111-1-11111-1-1-1-1-1-111-11
χ16111111-1-111111111-1-1111-1-1-1111111111-1-1-1-1-1-1111111-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-111-1-111-1-1111111-1-11-1
χ1722222222-2-2222222-2222-2-22222222-2-2-2-22222-2-2-2-2-2-2-2-2-22-2-2-222-22-222-2-222-2-2000000000000000000000000000000000000
χ1822222222-2-2222222-2-22-222-2-2222-2-2-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-22-22-2-2222222000000000000000000000000000000000000
χ19222222-2-2-2-2222222222-22-222222-2-2-2-2-2-2-2-2-2-2-2-222-2-2-2-222222222-2-2-2-222-2-2-2-2000000000000000000000000000000000000
χ20222222-2-2-2-22222222-222-22-2-222222-2-2-2-2-2-2-2-222-2-2-2-2-2-22-2222-2-2-22222-2-2-2-222000000000000000000000000000000000000
χ2122222-12222-12-12-1222-1222-1-1-1-1-1-1-122-1-122-1-12222-1-1-1-122-1-1-1-1-1-12-1-1-1-1-1-1-1-1-12200-1-1-1-10000220020-1-1-1-1-1-1000000000000
χ2222222-12222-12-12-1222-1222-1-1-1-1-1-1-122-1-122-1-12222-1-1-1-122-1-1-1-1-1-12-1-1-1-1-1-1-1-1-1-2-20011110000-2-200-20111111000000000000
χ2322222-12222-12-12-122-2-1-2-2-211-1-1-11122-1-122-1-1-2-2-2-2-1-1-1-12-2-1-1-1111-211111-1-1112200-1-1-1-10000-2-200201111-1-1000000000000
χ2422222-12222-12-12-122-2-1-2-2-211-1-1-11122-1-122-1-1-2-2-2-2-1-1-1-12-2-1-1-1111-211111-1-111-2-200111100002200-20-1-1-1-111000000000000
χ2522222-122-2-2-12-12-12-22-12-2-2-1-1-1-1-1-1-1-2-21122-1-1-2-2-2-21111-22111-1-1121-1-111-1-1110000−i3−i3i3i30000000000−i3i3−i3i3−i3i3000000000000
χ2622222-122-2-2-12-12-12-22-12-2-2-1-1-1-1-1-1-1-2-21122-1-1-2-2-2-21111-22111-1-1121-1-111-1-1110000i3i3−i3−i30000000000i3−i3i3−i3i3−i3000000000000
χ2722222-122-2-2-12-12-12-2-2-1-22211-1-1-111-2-21122-1-122221111-2-211111-1-2-111-1-1-1-1-1-10000−i3−i3i3i30000000000i3−i3i3−i3−i3i3000000000000
χ2822222-122-2-2-12-12-12-2-2-1-22211-1-1-111-2-21122-1-122221111-2-211111-1-2-111-1-1-1-1-1-10000i3i3−i3−i30000000000−i3i3−i3i3i3−i3000000000000
χ2922222-1-2-222-12-12-12-22-1-2-22-1-1-1-1-11122-1-1-2-21122-2-2-1-1-1-1-22111-1-11-2-1111111-1-12200-1-1-1-100002-200-20-1-11111000000000000
χ3022222-1-2-222-12-12-12-22-1-2-22-1-1-1-1-11122-1-1-2-21122-2-2-1-1-1-1-22111-1-11-2-1111111-1-1-2-20011110000-22002011-1-1-1-1000000000000
χ3122222-1-2-222-12-12-12-2-2-122-211-1-1-1-1-122-1-1-2-211-2-222-1-1-1-1-2-211111-121-1-1-1-111112200-1-1-1-10000-2200-2011-1-111000000000000
χ3222222-1-2-222-12-12-12-2-2-122-211-1-1-1-1-122-1-1-2-211-2-222-1-1-1-1-2-211111-121-1-1-1-11111-2-200111100002-20020-1-111-1-1000000000000
χ3322222-1-2-2-2-2-12-12-1222-1-22-2-1-1-1-1-111-2-211-2-211-2-222111122-1-1-1-1-1-1-2111-1-111110000−i3−i3i3i30000000000−i3i3i3−i3i3−i3000000000000
χ3422222-1-2-2-2-2-12-12-1222-1-22-2-1-1-1-1-111-2-211-2-211-2-222111122-1-1-1-1-1-1-2111-1-111110000i3i3−i3−i30000000000i3−i3−i3i3−i3i3000000000000
χ3522222-1-2-2-2-2-12-12-122-2-12-2211-1-1-1-1-1-2-211-2-21122-2-211112-2-1-1-11112-1-1-11111-1-10000−i3−i3i3i30000000000i3−i3−i3i3i3−i3000000000000
χ3622222-1-2-2-2-2-12-12-122-2-12-2211-1-1-1-1-1-2-211-2-21122-2-211112-2-1-1-11112-1-1-11111-1-10000i3i3−i3−i30000000000−i3i3i3−i3−i3i3000000000000
χ372222-1222222-12-12-122-122222-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-100220000-1-1-1-1002202000000-1-1-1-1-1-1000000
χ382222-1222222-12-12-122-122222-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-1-12-1-1-1-12-12-1-1-1-1-1-1-1-100-2-20000111100-2-20-2000000111111000000
χ392222-1222222-12-12-12-2-1-2-2-2-2-2-1-1-1-2-2-1-122-1-1221111-1-1-1-1-112-1-111-21-21111-1-11100220000-1-1-1-1002-20-200000011-1-111000000
χ402222-1222222-12-12-12-2-1-2-2-2-2-2-1-1-1-2-2-1-122-1-1221111-1-1-1-1-112-1-111-21-21111-1-11100-2-20000111100-2202000000-1-111-1-1000000
χ412222-1222-2-22-12-12-1-22-12-2-222-1-1-12211-2-2-1-122111111111-1-211-1-1-2-1-2-1-111-1-11100000000−i3−i3i3i3000000000000−i3i3−i3i3−i3i3000000
χ422222-1222-2-22-12-12-1-22-12-2-222-1-1-12211-2-2-1-122111111111-1-211-1-1-2-1-2-1-111-1-11100000000i3i3−i3−i3000000000000i3−i3i3−i3i3−i3000000
χ432222-1222-2-22-12-12-1-2-2-1-222-2-2-1-1-1-2-211-2-2-1-122-1-1-1-1111111-2111121211-1-1-1-1-1-100000000−i3−i3i3i3000000000000i3−i3−i3i3i3−i3000000
χ442222-1222-2-22-12-12-1-2-2-1-222-2-2-1-1-1-2-211-2-2-1-122-1-1-1-1111111-2111121211-1-1-1-1-1-100000000i3i3−i3−i3000000000000−i3i3i3−i3−i3i3000000
χ452222-12-2-2222-12-12-1-22-1-2-2222-1-1-1-2-2-1-12211-2-2-1-111-1-1-1-11-1-211-1-1-212111111-1-100220000-1-1-1-100-220-20000001111-1-1000000
χ462222-12-2-2222-12-12-1-22-1-2-2222-1-1-1-2-2-1-12211-2-2-1-111-1-1-1-11-1-211-1-1-212111111-1-100-2-200001111002-202000000-1-1-1-111000000
χ472222-12-2-2222-12-12-1-2-2-122-2-2-2-1-1-122-1-12211-2-211-1-1-1-1-1-111-211112-1-2-1-1-1-1111100220000-1-1-1-100-2-202000000-1-11111000000
χ482222-12-2-2222-12-12-1-2-2-122-2-2-2-1-1-122-1-12211-2-211-1-1-1-1-1-111-211112-1-2-1-1-1-1111100-2-20000111100220-200000011-1-1-1-1000000
χ492222-12-2-2-2-22-12-12-122-1-22-222-1-1-1-2-211-2-211-2-211-1-11111-1-12-1-1-1-121-211-1-1111100000000−i3−i3i3i3000000000000i3−i3i3−i3−i3i3000000
χ502222-12-2-2-2-22-12-12-122-1-22-222-1-1-1-2-211-2-211-2-211-1-11111-1-12-1-1-1-121-211-1-1111100000000i3i3−i3−i3000000000000−i3i3−i3i3i3−i3000000
χ512222-12-2-2-2-22-12-12-12-2-12-22-2-2-1-1-12211-2-211-2-2-1-1111111-112-1-111-2-12-1-11111-1-100000000−i3−i3i3i3000000000000−i3i3i3−i3i3−i3000000
χ522222-12-2-2-2-22-12-12-12-2-12-22-2-2-1-1-12211-2-211-2-2-1-1111111-112-1-111-2-12-1-11111-1-100000000i3i3−i3−i3000000000000i3−i3−i3i3−i3i3000000
χ532-2-2222002-2-2-2-222-200200000-2-22002-22-20000000022-2-20000000000000000002-22i−2i2-22-22i−2i2i−2i0000000000000000002i−2i0000
χ542-2-2222002-2-2-2-222-200200000-2-22002-22-20000000022-2-20000000000000000002-2−2i2i2-22-2−2i2i−2i2i000000000000000000−2i2i0000
χ552-2-2222002-2-2-2-222-200200000-2-22002-22-20000000022-2-2000000000000000000-222i−2i-22-222i−2i2i−2i000000000000000000−2i2i0000
χ562-2-2222002-2-2-2-222-200200000-2-22002-22-20000000022-2-2000000000000000000-22−2i2i-22-22−2i2i−2i2i0000000000000000002i−2i0000
χ574444-2-24444-2-2-2-2-2-2441444-2-2111-2-2-2-2-2-2-2-2-2-2-2-2-2-21111-2-2-21111-2-2-211111111000000000000000000000000000000000000
χ584444-2-24444-2-2-2-2-2-24-41-4-4-42211122-2-2-2-2-2-2-2-222221111-22-211-1-1222-1-1-1-111-1-1000000000000000000000000000000000000
χ594444-2-244-4-4-2-2-2-2-2-2-4414-4-4-2-2111-2-22222-2-2-2-22222-1-1-1-12-22-1-1112-2211-1-111-1-1000000000000000000000000000000000000
χ604444-2-244-4-4-2-2-2-2-2-2-4-41-44422111222222-2-2-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-22-2-1-1111111000000000000000000000000000000000000
χ614444-2-2-4-444-2-2-2-2-2-2-441-4-44-2-211122-2-2-2-22222-2-22211112-22-1-11122-2-1-1-1-1-1-111000000000000000000000000000000000000
χ624444-2-2-4-444-2-2-2-2-2-2-4-4144-422111-2-2-2-2-2-2222222-2-21111222-1-1-1-1-2-221111-1-1-1-1000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-2441-44-4-2-2111222222222222-2-2-1-1-1-1-2-2-21111-222-1-111-1-1-1-1000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-24-414-4422111-2-222222222-2-222-1-1-1-1-22-211-1-12-2-211-1-1-1-111000000000000000000000000000000000000
χ6544-4-4440000-444-4-4-4004000004-4-400000000000000000000000000000000000000000000000000000000000000000000−2i22i200
χ6644-4-4440000-444-4-4-4004000004-4-4000000000000000000000000000000000000000000000000000000000000000000002i2−2i200
χ674-44-4444i−4i004-4-4-4-4400400000-44-40000004i−4i4i−4i00000000000000000000004i−4i00000000000000000000000000000000000000
χ684-44-444−4i4i004-4-4-4-4400400000-44-4000000−4i4i−4i4i0000000000000000000000−4i4i00000000000000000000000000000000000000
χ694-44-44-24i−4i00-2-42-42400-2000−2i32i32-2223−2300004i−4i−2i2i0000000000000−2i32i300023−2300−2i2i00000000000000000000000000000000000000
χ704-44-44-24i−4i00-2-42-42400-20002i3−2i32-22−232300004i−4i−2i2i00000000000002i3−2i3000−232300−2i2i00000000000000000000000000000000000000
χ714-44-44-2−4i4i00-2-42-42400-2000−2i32i32-22−23230000−4i4i2i−2i0000000000000−2i32i3000−2323002i−2i00000000000000000000000000000000000000
χ724-44-44-2−4i4i00-2-42-42400-20002i3−2i32-2223−230000−4i4i2i−2i00000000000002i3−2i300023−23002i−2i00000000000000000000000000000000000000
χ734-44-4-244i−4i0042-42-4-200-2000002-22000000−2i2i4i−4i23−23−2i32i30000000000000000−2i32i3−2i2i23−23000000000000000000000000000000000000
χ744-44-4-244i−4i0042-42-4-200-2000002-22000000−2i2i4i−4i−23232i3−2i300000000000000002i3−2i3−2i2i−2323000000000000000000000000000000000000
χ754-44-4-24−4i4i0042-42-4-200-2000002-220000002i−2i−4i4i23−232i3−2i300000000000000002i3−2i32i−2i23−23000000000000000000000000000000000000
χ764-44-4-24−4i4i0042-42-4-200-2000002-220000002i−2i−4i4i−2323−2i32i30000000000000000−2i32i32i−2i−2323000000000000000000000000000000000000
χ774-44-4-2-24i−4i00-22222-2001000−2i32i3-11-123−230000−2i2i−2i2i23−23−2i32i33i−3i3i−3i0003-3i3−i3000−33i3−i3i−i−33000000000000000000000000000000000000
χ784-44-4-2-24i−4i00-22222-2001000−2i32i3-11-123−230000−2i2i−2i2i−23232i3−2i3−3i3i−3i3i000-33i3−i3000−33−i3i3i−i3−3000000000000000000000000000000000000
χ794-44-4-2-24i−4i00-22222-20010002i3−2i3-11-1−23230000−2i2i−2i2i23−23−2i32i3−3i3i−3i3i000-33−i3i30003−3i3−i3i−i−33000000000000000000000000000000000000
χ804-44-4-2-24i−4i00-22222-20010002i3−2i3-11-1−23230000−2i2i−2i2i−23232i3−2i33i−3i3i−3i0003-3−i3i30003−3−i3i3i−i3−3000000000000000000000000000000000000
χ814-44-4-2-2−4i4i00-22222-2001000−2i32i3-11-1−232300002i−2i2i−2i23−232i3−2i33i−3i3i−3i000-33i3−i30003−3−i3i3−ii−33000000000000000000000000000000000000
χ824-44-4-2-2−4i4i00-22222-2001000−2i32i3-11-1−232300002i−2i2i−2i−2323−2i32i3−3i3i−3i3i0003-3i3−i30003−3i3−i3−ii3−3000000000000000000000000000000000000
χ834-44-4-2-2−4i4i00-22222-20010002i3−2i3-11-123−2300002i−2i2i−2i23−232i3−2i3−3i3i−3i3i0003-3−i3i3000−33−i3i3−ii−33000000000000000000000000000000000000
χ844-44-4-2-2−4i4i00-22222-20010002i3−2i3-11-123−2300002i−2i2i−2i−2323−2i32i33i−3i3i−3i000-33−i3i3000−33i3−i3−ii3−3000000000000000000000000000000000000
χ854-4-444400-44-4-4-444-400400000-4-4400-44-4400000000-4-444000000000000000000000000000000000000000000000000000000
χ864-4-444-2004-42-424-2-400-20000022-2004-4-2200000000-2-2220000000000000000004-400-22-220000000000000000000000000000
χ874-4-444-2004-42-424-2-400-20000022-2004-4-2200000000-2-222000000000000000000-44002-22-20000000000000000000000000000
χ884-4-444-200-442-424-2-400-20000022-200-442-20000000022-2-20000000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ894-4-444-200-442-424-2-400-20000022-200-442-20000000022-2-200000000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ904-4-44-24004-4-42-4-24200-20000022-200-224-400000000-2-222000000000000000000004i−4i0000−2i2i−2i2i000000000000000000000000
χ914-4-44-24004-4-42-4-24200-20000022-200-224-400000000-2-22200000000000000000000−4i4i00002i−2i2i−2i000000000000000000000000
χ924-4-44-2400-44-42-4-24200-20000022-2002-2-440000000022-2-20000000000000000000000000023−23−2323000000000000000000000000
χ934-4-44-2400-44-42-4-24200-20000022-2002-2-440000000022-2-200000000000000000000000000−232323−23000000000000000000000000
χ9488-8-88-4000048-4-84-800-400000-444000000000000000000000000000000000000000000000000000000000000000000000000
χ9588-8-8-480000-8-484-8400-400000-444000000000000000000000000000000000000000000000000000000000000000000000000
χ9688-8-8-4-400004-4-4444002000002-2-2000000000000006i−6i−6i6i000000000000000000000000000000000000000000000000000000
χ9788-8-8-4-400004-4-4444002000002-2-200000000000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000
χ988-8-88-4-4008-8444-4-4400200000-2-2200-44-440000000022-2-2000000000000000000000000000000000000000000000000000000
χ998-8-88-4-400-88444-4-4400200000-2-22004-44-400000000-2-222000000000000000000000000000000000000000000000000000000

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