Finite Group Databasebeta

← Group #11884423

Character table — Group #11884423

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size111122222222222244444444444444444444444444444888888888888888888121212121212121212121212242424242424242424242424242424242424363636367272
order122233444466666622344466666121212121212121212121212121212121212666666612121212121212121212122244666612121212222444666666121212121212888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11-1-11-1111-1-1-1-111-1-111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-11111-111-11-1-1-11111-1-111-1-1-1-1-1-1-1-1
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
χ511111111111111111-11-1-1-1-1-1111-1-1-1-111111111-1-1111111-111-1-1-1-1-1-1-1-1-111-1-1111111111111-11-1-1-11-1-111-1-1-1-1-1-1111111-1-1
χ611111111111111111-11-1-1-1-1-1111-1-1-1-111111111-1-1111111-111-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-11-111-1-1-1-111-1-11111-1-1-1-111
χ711111111111111111-11-1-1-1-1-1111-1-1-1-111111111-1-1111111-111-1-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-1111111-11-1-11111-1-111-1-1-1-1-1-1-1-111
χ811111111111111111-11-1-1-1-1-1111-1-1-1-111111111-1-1111111-111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-111-1-1111111-1-11111-1-1
χ9111111-1-111111111-111-1-1111111-1-1-1-11111-1-1-1-1111111-1-11-1-111-1-11-1-1-1-1-1-1111111111111111-11-1-1-111-1-111-1-1-1-1-1-111-1-1-11
χ10111111-1-111111111-111-1-1111111-1-1-1-11111-1-1-1-1111111-1-11-1-111-1-11-1-1-1-1-1-11111-1-11111-1-1-1-111-1-11-11111-1-1-1-111-1-1-1-1111-1
χ11111111-1-111111111-111-1-1111111-1-1-1-11111-1-1-1-1111111-1-11-1-111-1-11-1-1-1-1-1-111-1-111-1-1-1-11111-1-111-11-1-1-1-11111-1-111-1-1111-1
χ12111111-1-111111111-111-1-1111111-1-1-1-11111-1-1-1-1111111-1-11-1-111-1-11-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-111-1-111111111-1-1-11
χ13111111-1-111111111-1-1111-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-11111-1-1-1-1111111111111-1-1-111-1-1-1-1-1-1-11111-1-111-1-11-1
χ14111111-1-111111111-1-1111-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-11111-1-1-1-111-1-11111-1-1-1-1-1111-1-1-1-1111111-1-1-1-1-1-111-11
χ15111111-1-111111111-1-1111-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-11111-1-1-1-1-1-111-1-1-1-111111-1-1-11111-1-1-1-1-1-11111-1-111-11
χ16111111-1-111111111-1-1111-1-1-111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-11111111-1-1-1-11111-1-11-1
χ1722222222-2-2222222-222-22-222222-2-222-2-2-2-22222-2-2-2-2-2-2-2-22-2-222-22-222-2-222-2-2000000000000000000000000000000000000
χ1822222222-2-2222222-2-222-22-2-222222-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-2-2-22-22-2-2222222000000000000000000000000000000000000
χ19222222-2-2-2-22222222222-2-22222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-222222222-2-2-2-222-2-2-2-2000000000000000000000000000000000000
χ20222222-2-2-2-22222222-22-222-2-2222-2-222-2-2-2-2-2-2-2-222-2-2-2-222-222-2-2-22222-2-2-2-222000000000000000000000000000000000000
χ2122222-122222-12-12-122-122222-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1-12-12-1-1-1-1-1-1-1-100220000-1-1-1-102202000-1-1-1-100-1-100000000
χ2222222-122222-12-12-122-122222-1-1-1-1-12222-1-122-1-1-1-1-1-1-1-12-1-1-1-1-1-12-12-1-1-1-1-1-1-1-100-2-2000011110-2-20-20001111001100000000
χ2322222-122222-12-12-12-2-1-2-2-2-2-2-1-1-111-2-222-1-122-1-111-1-1-1-12-11-1-111-21-21111-1-11100220000-1-1-1-102-20-2000-1-111001100000000
χ2422222-122222-12-12-12-2-1-2-2-2-2-2-1-1-111-2-222-1-122-1-111-1-1-1-12-11-1-111-21-21111-1-11100-2-2000011110-220200011-1-100-1-100000000
χ2522222-122-2-22-12-12-1-22-1-22-222-1-1-11122-2-21122-1-1111111-21-111-1-1-2-1-2-1-111-1-11100000000−i3−i3i3i300000000−i3i3−i3i300−i3i300000000
χ2622222-122-2-22-12-12-1-22-1-22-222-1-1-11122-2-21122-1-1111111-21-111-1-1-2-1-2-1-111-1-11100000000i3i3−i3−i300000000i3−i3i3−i300i3−i300000000
χ2722222-122-2-22-12-12-1-2-2-12-22-2-2-1-1-1-1-1-2-2-2-21122-1-1-1-11111-211111121211-1-1-1-1-1-100000000−i3−i3i3i300000000−i3i3i3−i300i3−i300000000
χ2822222-122-2-22-12-12-1-2-2-12-22-2-2-1-1-1-1-1-2-2-2-21122-1-1-1-11111-211111121211-1-1-1-1-1-100000000i3i3−i3−i300000000i3−i3−i3i300−i3i300000000
χ2922222-1-2-2222-12-12-1-22-1-2-2222-1-1-111-2-222-1-1-2-211-1-1-1-1-1-1-21-111-1-1-212111111-1-100220000-1-1-1-10-220-200011-1-1001100000000
χ3022222-1-2-2222-12-12-1-22-1-2-2222-1-1-111-2-222-1-1-2-211-1-1-1-1-1-1-21-111-1-1-212111111-1-100-2-20000111102-202000-1-11100-1-100000000
χ3122222-1-2-2222-12-12-1-2-2-122-2-2-2-1-1-1-1-12222-1-1-2-21111-1-1-1-1-21111112-1-2-1-1-1-1111100220000-1-1-1-10-2-202000111100-1-100000000
χ3222222-1-2-2222-12-12-1-2-2-122-2-2-2-1-1-1-1-12222-1-1-2-21111-1-1-1-1-21111112-1-2-1-1-1-1111100-2-2000011110220-2000-1-1-1-1001100000000
χ3322222-1-2-2-2-22-12-12-122-12-2-222-1-1-1-1-1-2-2-2-211-2-2111111112-1-1-1-1-1-121-211-1-1111100000000−i3−i3i3i300000000i3−i3−i3i300i3−i300000000
χ3422222-1-2-2-2-22-12-12-122-12-2-222-1-1-1-1-1-2-2-2-211-2-2111111112-1-1-1-1-1-121-211-1-1111100000000i3i3−i3−i300000000−i3i3i3−i300−i3i300000000
χ3522222-1-2-2-2-22-12-12-12-2-1-222-2-2-1-1-11122-2-211-2-211-1-111112-11-1-111-2-12-1-11111-1-100000000−i3−i3i3i300000000i3−i3i3−i300−i3i300000000
χ3622222-1-2-2-2-22-12-12-12-2-1-222-2-2-1-1-11122-2-211-2-211-1-111112-11-1-111-2-12-1-11111-1-100000000i3i3−i3−i300000000−i3i3−i3i300i3−i300000000
χ372222-122222-12-12-1222-1222-1-1-1-1-122-1-1-1-122-1-12222-1-1-1-1-122-1-1-1-1-12-1-1-1-1-1-1-1-1-12200-1-1-1-10000200202-1-10000-1-100-1-1000000
χ382222-122222-12-12-1222-1222-1-1-1-1-122-1-1-1-122-1-12222-1-1-1-1-122-1-1-1-1-12-1-1-1-1-1-1-1-1-1-2-20011110000-200-20-2110000110011000000
χ392222-122222-12-12-122-2-1-2-2-211-1-1-1-2-211-1-122-1-122-2-2-1-1-1-1-12-2-1-1111-211111-1-1112200-1-1-1-10000-200-2021100001100-1-1000000
χ402222-122222-12-12-122-2-1-2-2-211-1-1-1-2-211-1-122-1-122-2-2-1-1-1-1-12-2-1-1111-211111-1-111-2-2001111000020020-2-1-10000-1-10011000000
χ412222-1222-2-2-12-12-12-22-1-22-2-1-1-1-1-1-2-2-1-111-2-2-1-122-2-211111-2211-1-1121-1-111-1-1110000−i3−i3i3i30000000000−i3i30000−i3i300−i3i3000000
χ422222-1222-2-2-12-12-12-22-1-22-2-1-1-1-1-1-2-2-1-111-2-2-1-122-2-211111-2211-1-1121-1-111-1-1110000i3i3−i3−i30000000000i3−i30000i3−i300i3−i3000000
χ432222-1222-2-2-12-12-12-2-2-12-2211-1-1-1221111-2-2-1-1222211111-2-21111-1-2-111-1-1-1-1-1-10000−i3−i3i3i30000000000i3−i30000i3−i300−i3i3000000
χ442222-1222-2-2-12-12-12-2-2-12-2211-1-1-1221111-2-2-1-1222211111-2-21111-1-2-111-1-1-1-1-1-10000i3i3−i3−i30000000000−i3i30000−i3i300i3−i3000000
χ452222-12-2-222-12-12-12-22-1-2-22-1-1-1-1-1-2-211-1-12211-2-222-1-1-1-11-2211-1-11-2-1111111-1-12200-1-1-1-10000200-20-2-1-10000110011000000
χ462222-12-2-222-12-12-12-22-1-2-22-1-1-1-1-1-2-211-1-12211-2-222-1-1-1-11-2211-1-11-2-1111111-1-1-2-20011110000-200202110000-1-100-1-1000000
χ472222-12-2-222-12-12-12-2-2-122-211-1-1-122-1-1-1-12211-2-2-2-2-1-1-1-11-2-21111-121-1-1-1-111112200-1-1-1-10000-20020-2110000-1-10011000000
χ482222-12-2-222-12-12-12-2-2-122-211-1-1-122-1-1-1-12211-2-2-2-2-1-1-1-11-2-21111-121-1-1-1-11111-2-20011110000200-202-1-100001100-1-1000000
χ492222-12-2-2-2-2-12-12-1222-12-2-2-1-1-1-1-1221111-2-211-2-2-2-21111-122-1-1-1-1-1-2111-1-111110000−i3−i3i3i30000000000−i3i30000i3−i300i3−i3000000
χ502222-12-2-2-2-2-12-12-1222-12-2-2-1-1-1-1-1221111-2-211-2-2-2-21111-122-1-1-1-1-1-2111-1-111110000i3i3−i3−i30000000000i3−i30000−i3i300−i3i3000000
χ512222-12-2-2-2-2-12-12-122-2-1-22211-1-1-1-2-2-1-111-2-211-2-2221111-12-2-1-11112-1-1-11111-1-10000−i3−i3i3i30000000000i3−i30000−i3i300i3−i3000000
χ522222-12-2-2-2-2-12-12-122-2-1-22211-1-1-1-2-2-1-111-2-211-2-2221111-12-2-1-11112-1-1-11111-1-10000i3i3−i3−i30000000000−i3i30000i3−i300−i3i3000000
χ532-2-222200-22-2-2-2-22200200000-2-2200002-22-200000022-2-20000000000000000002-22-22-22-22-22-20000000000000000002-20000
χ542-2-222200-22-2-2-2-22200200000-2-2200002-22-200000022-2-20000000000000000002-2-222-22-2-22-22000000000000000000-220000
χ552-2-222200-22-2-2-2-22200200000-2-2200002-22-200000022-2-2000000000000000000-222-2-22-222-22-2000000000000000000-220000
χ562-2-222200-22-2-2-2-22200200000-2-2200002-22-200000022-2-2000000000000000000-22-22-22-22-22-220000000000000000002-20000
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
χ584444-2-24444-2-2-2-2-2-24-41-4-4-4221112222-2-2-2-2-2-2-2-2221111-2-2211-1-1222-1-1-1-111-1-1000000000000000000000000000000000000
χ594444-2-244-4-4-2-2-2-2-2-2-441-44-4-2-211122-2-22222-2-2-2-222-1-1-1-122-2-1-1112-2211-1-111-1-1000000000000000000000000000000000000
χ604444-2-244-4-4-2-2-2-2-2-2-4-414-4422111-2-2222222-2-2-2-2-2-2-1-1-1-1222-1-1-1-1-22-2-1-1111111000000000000000000000000000000000000
χ614444-2-2-4-444-2-2-2-2-2-2-441-4-44-2-21112222-2-2-2-22222-2-2111122-2-1-11122-2-1-1-1-1-1-111000000000000000000000000000000000000
χ624444-2-2-4-444-2-2-2-2-2-2-4-4144-422111-2-2-2-2-2-2-2-22222221111222-1-1-1-1-2-221111-1-1-1-1000000000000000000000000000000000000
χ634444-2-2-4-4-4-4-2-2-2-2-2-24414-4-4-2-2111-2-2222222222222-1-1-1-1-2-2-21111-222-1-111-1-1-1-1000000000000000000000000000000000000
χ644444-2-2-4-4-4-4-2-2-2-2-2-24-41-4442211122-2-222222222-2-2-1-1-1-1-2-2211-1-12-2-211-1-1-1-111000000000000000000000000000000000000
χ6544-4-4444i−4i0044-4-4-4-4004000004-4-4000000004i−4i4i−4i000000000000000000004i−4i00000000000000000000000000000000000000
χ6644-4-444−4i4i0044-4-4-4-4004000004-4-400000000−4i4i−4i4i00000000000000000000−4i4i00000000000000000000000000000000000000
χ6744-4-44-24i−4i004-2-42-4200-200000-222−2i32i30000004i−4i−2i2i23−230000000000000000−2i32i3−2i2i23−23000000000000000000000000000000000000
χ6844-4-44-24i−4i004-2-42-4200-200000-2222i3−2i30000004i−4i−2i2i−232300000000000000002i3−2i3−2i2i−2323000000000000000000000000000000000000
χ6944-4-44-2−4i4i004-2-42-4200-200000-222−2i32i3000000−4i4i2i−2i−23230000000000000000−2i32i32i−2i−2323000000000000000000000000000000000000
χ7044-4-44-2−4i4i004-2-42-4200-200000-2222i3−2i3000000−4i4i2i−2i23−2300000000000000002i3−2i32i−2i23−23000000000000000000000000000000000000
χ7144-4-4-244i−4i00-242-42-400-2000−2i32i3-2220023−230000−2i2i4i−4i00000000000−2i32i300023−2300−2i2i00000000000000000000000000000000000000
χ7244-4-4-244i−4i00-242-42-400-20002i3−2i3-22200−23230000−2i2i4i−4i000000000002i3−2i3000−232300−2i2i00000000000000000000000000000000000000
χ7344-4-4-24−4i4i00-242-42-400-2000−2i32i3-22200−232300002i−2i−4i4i00000000000−2i32i3000−2323002i−2i00000000000000000000000000000000000000
χ7444-4-4-24−4i4i00-242-42-400-20002i3−2i3-2220023−2300002i−2i−4i4i000000000002i3−2i300023−23002i−2i00000000000000000000000000000000000000
χ7544-4-4-2-24i−4i00-2-22222001000−2i32i31-1-1−2i32i323−230000−2i2i−2i2i23−233i−3i3i−3i0003-3i3−i3000−33i3−i3i−i−33000000000000000000000000000000000000
χ7644-4-4-2-24i−4i00-2-22222001000−2i32i31-1-12i3−2i323−230000−2i2i−2i2i−2323−3i3i−3i3i000-33i3−i3000−33−i3i3i−i3−3000000000000000000000000000000000000
χ7744-4-4-2-24i−4i00-2-222220010002i3−2i31-1-1−2i32i3−23230000−2i2i−2i2i23−23−3i3i−3i3i000-33−i3i30003−3i3−i3i−i−33000000000000000000000000000000000000
χ7844-4-4-2-24i−4i00-2-222220010002i3−2i31-1-12i3−2i3−23230000−2i2i−2i2i−23233i−3i3i−3i0003-3−i3i30003−3−i3i3i−i3−3000000000000000000000000000000000000
χ7944-4-4-2-2−4i4i00-2-22222001000−2i32i31-1-1−2i32i3−232300002i−2i2i−2i−2323−3i3i−3i3i0003-3i3−i30003−3i3−i3−ii3−3000000000000000000000000000000000000
χ8044-4-4-2-2−4i4i00-2-22222001000−2i32i31-1-12i3−2i3−232300002i−2i2i−2i23−233i−3i3i−3i000-33i3−i30003−3−i3i3−ii−33000000000000000000000000000000000000
χ8144-4-4-2-2−4i4i00-2-222220010002i3−2i31-1-1−2i32i323−2300002i−2i2i−2i−23233i−3i3i−3i000-33−i3i3000−33i3−i3−ii3−3000000000000000000000000000000000000
χ8244-4-4-2-2−4i4i00-2-222220010002i3−2i31-1-12i3−2i323−2300002i−2i2i−2i23−23−3i3i−3i3i0003-3−i3i3000−33−i3i3−ii−33000000000000000000000000000000000000
χ834-44-4440000-4-444-4-400400000-44-40000000000000000000000000000000000000000000000000000000000000000000022−2200
χ844-44-4440000-4-444-4-400400000-44-400000000000000000000000000000000000000000000000000000000000000000000−222200
χ854-4-4444004-4-4-4-4-44400400000-4-440000-44-44000000-4-444000000000000000000000000000000000000000000000000000000
χ864-4-444-2004-4-42-424-200-20000022-20000-442-200000022-2-200000000000000000000000000−2i32i32i3−2i3000000000000000000000000
χ874-4-444-2004-4-42-424-200-20000022-20000-442-200000022-2-2000000000000000000000000002i3−2i3−2i32i3000000000000000000000000
χ884-4-444-200-44-42-424-200-20000022-200004-4-22000000-2-222000000000000000000004-40000-22-22000000000000000000000000
χ894-4-444-200-44-42-424-200-20000022-200004-4-22000000-2-22200000000000000000000-4400002-22-2000000000000000000000000
χ904-4-44-24004-42-42-4-2400-20000022-200002-2-4400000022-2-20000000000000000000000−2i32i32i3−2i30000000000000000000000000000
χ914-4-44-24004-42-42-4-2400-20000022-200002-2-4400000022-2-200000000000000000000002i3−2i3−2i32i30000000000000000000000000000
χ924-4-44-2400-442-42-4-2400-20000022-20000-224-4000000-2-2220000000000000000004-400-22-220000000000000000000000000000
χ934-4-44-2400-442-42-4-2400-20000022-20000-224-4000000-2-222000000000000000000-44002-22-20000000000000000000000000000
χ948-88-88-40000-848-4-8400-4000004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ958-88-8-4800004-8-484-800-4000004-44000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-4000044-4-44400200000-22-2000000000000006i−6i−6i6i000000000000000000000000000000000000000000000000000000
χ978-88-8-4-4000044-4-44400200000-22-200000000000000−6i6i6i−6i000000000000000000000000000000000000000000000000000000
χ988-8-88-4-4008-84444-4-400200000-2-2200004-44-4000000-2-222000000000000000000000000000000000000000000000000000000
χ998-8-88-4-400-884444-4-400200000-2-220000-44-4400000022-2-2000000000000000000000000000000000000000000000000000000

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