Finite Group Databasebeta

← Group #10592854

Character table — Group #10592854

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222222222222222222244444444444444444444444488888888888888888818181818181818187272
order122233334466666666666688881212121212121212242424242424242424242424242424242266666666666666664444888844
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1
χ411111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-11-1
χ61111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-11111-11
χ71111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-1-11
χ81111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-111111-1
χ922222222-2-22222222222220000-2-2-2-2-2-2-2-2000000000000000000000000000000000022-2-2000000
χ1022222222-2-22222222222220000-2-2-2-2-2-2-2-20000000000000000000000000000000000-2-222000000
χ1122222-1-1-12222-1-1-1-1-1-12-1-1-122222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-10000000000
χ1222222-1-1-12222-1-1-1-1-1-12-1-1-122222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-2-21111110000000000
χ1322222-1-1-12222-1-1-1-1-1-12-1-1-1-2-2-2-22-1-1-12-1-1-1-2-2-2-21111111111112-222-1-1-1-1-1-1-2-21111110000000000
χ1422222-1-1-12222-1-1-1-1-1-12-1-1-1-2-2-2-22-1-1-12-1-1-1-2-2-2-2111111111111-22-2-211111122-1-1-1-1-1-10000000000
χ152222-12-1-122-1-122-1-1-1-1-12-1-12222-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-10000000000
χ162222-12-1-122-1-122-1-1-1-1-12-1-12222-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-211-2-2111111-2-211110000000000
χ172222-12-1-122-1-122-1-1-1-1-12-1-1-2-2-2-2-12-1-1-12-1-11111-2-2-2-2111111112-2-1-122-1-1-1-111-2-211110000000000
χ182222-12-1-122-1-122-1-1-1-1-12-1-1-2-2-2-2-12-1-1-12-1-11111-2-2-2-211111111-2211-2-21111-1-122-1-1-1-10000000000
χ192222-1-12-122-1-1-1-122-1-1-1-12-12222-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-10000000000
χ202222-1-12-122-1-1-1-122-1-1-1-12-12222-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-21111-2-2111111-2-2110000000000
χ212222-1-12-122-1-1-1-122-1-1-1-12-1-2-2-2-2-1-12-1-1-12-111111111-2-2-2-211112-2-1-1-1-122-1-11111-2-2110000000000
χ222222-1-12-122-1-1-1-122-1-1-1-12-1-2-2-2-2-1-12-1-1-12-111111111-2-2-2-21111-221111-2-211-1-1-1-122-1-10000000000
χ232222-1-1-1222-1-1-1-1-1-122-1-1-122222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1220000000000
χ242222-1-1-1222-1-1-1-1-1-122-1-1-122222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-2-2111111-2-2111111-2-20000000000
χ252222-1-1-1222-1-1-1-1-1-122-1-1-12-2-2-2-2-1-1-12-1-1-12111111111111-2-2-2-22-2-1-1-1-1-1-122111111-2-20000000000
χ262222-1-1-1222-1-1-1-1-1-122-1-1-12-2-2-2-2-1-1-12-1-1-12111111111111-2-2-2-2-22111111-2-2-1-1-1-1-1-1220000000000
χ2722-2-22222002-22-22-22-2-2-2-2-222−2−20000000022−2−222−2−222−2−222−2−2000000000000000000002i−2i−i2−i2i2i200
χ2822-2-22222002-22-22-22-2-2-2-2-222−2−20000000022−2−222−2−222−2−222−2−200000000000000000000−2i2ii2i2−i2−i200
χ2922-2-22222002-22-22-22-2-2-2-2-2−2−22200000000−2−222−2−222−2−222−2−222000000000000000000002i−2ii2i2−i2−i200
χ3022-2-22222002-22-22-22-2-2-2-2-2−2−22200000000−2−222−2−222−2−222−2−22200000000000000000000−2i2i−i2−i2i2i200
χ312-22-2222200-22-22-22-22-2-2-2-22−22−2000000002−22−22−22−22−22−22−22−20000000000000000002i−2i00−i2i2−i2i200
χ322-22-2222200-22-22-22-22-2-2-2-22−22−2000000002−22−22−22−22−22−22−22−2000000000000000000−2i2i00i2−i2i2−i200
χ332-22-2222200-22-22-22-22-2-2-2-2−22−2200000000−22−22−22−22−22−22−22−220000000000000000002i−2i00i2−i2i2−i200
χ342-22-2222200-22-22-22-22-2-2-2-2−22−2200000000−22−22−22−22−22−22−22−22000000000000000000−2i2i00−i2i2−i2i200
χ352-2-2222222-2-2-2-2-2-2-2-2-222222-2-22-2-2-2-222222-2-222-2-222-2-222-2-220000000000000000000000000000
χ362-2-2222222-2-2-2-2-2-2-2-2-22222-222-2-2-2-2-22222-222-2-222-2-222-2-222-20000000000000000000000000000
χ372-2-222222-22-2-2-2-2-2-2-2-2222200002222-2-2-2-2000000000000000000000000000000000000002-2-2200
χ382-2-222222-22-2-2-2-2-2-2-2-2222200002222-2-2-2-200000000000000000000000000000000000000-222-200
χ392-2-222-1-1-12-2-2-21111112-1-1-12-2-22-21112-1-1-12-2-22-111-1-111-1-111-10000−i3i3−i3i3−i3i300−i3i3−i3i3−i3i30000000000
χ402-2-222-1-1-12-2-2-21111112-1-1-12-2-22-21112-1-1-12-2-22-111-1-111-1-111-10000i3−i3i3−i3i3−i300i3−i3i3−i3i3−i30000000000
χ412-2-222-1-1-12-2-2-21111112-1-1-1-222-2-21112-1-1-1-222-21-1-111-1-111-1-110000−i3i3−i3i3−i3i300i3−i3i3−i3i3−i30000000000
χ422-2-222-1-1-12-2-2-21111112-1-1-1-222-2-21112-1-1-1-222-21-1-111-1-111-1-110000i3−i3i3−i3i3−i300−i3i3−i3i3−i3i30000000000
χ432-2-22-12-1-12-211-2-21111-12-1-12-2-221-211-12-1-1-111-12-2-22-111-1-111-100−i3i300−i3i3i3−i3−i3i300−i3i3i3−i30000000000
χ442-2-22-12-1-12-211-2-21111-12-1-12-2-221-211-12-1-1-111-12-2-22-111-1-111-100i3−i300i3−i3−i3i3i3−i300i3−i3−i3i30000000000
χ452-2-22-12-1-12-211-2-21111-12-1-1-222-21-211-12-1-11-1-11-222-21-1-111-1-1100−i3i300−i3i3i3−i3i3−i300i3−i3−i3i30000000000
χ462-2-22-12-1-12-211-2-21111-12-1-1-222-21-211-12-1-11-1-11-222-21-1-111-1-1100i3−i300i3−i3−i3i3−i3i300−i3i3i3−i30000000000
χ472-2-22-1-12-12-21111-2-211-1-12-12-2-2211-21-1-12-1-111-1-111-12-2-22-111-100−i3i3i3−i300−i3i3−i3i3i3−i300−i3i30000000000
χ482-2-22-1-12-12-21111-2-211-1-12-12-2-2211-21-1-12-1-111-1-111-12-2-22-111-100i3−i3−i3i300i3−i3i3−i3−i3i300i3−i30000000000
χ492-2-22-1-12-12-21111-2-211-1-12-1-222-211-21-1-12-11-1-111-1-11-222-21-1-1100−i3i3i3−i300−i3i3i3−i3−i3i300i3−i30000000000
χ502-2-22-1-12-12-21111-2-211-1-12-1-222-211-21-1-12-11-1-111-1-11-222-21-1-1100i3−i3−i3i300i3−i3−i3i3i3−i300−i3i30000000000
χ512-2-22-1-1-122-2111111-2-2-1-1-122-2-22111-2-1-1-12-111-1-111-1-111-12-2-2200−i3i3−i3i3i3−i300−i3i3−i3i3i3−i3000000000000
χ522-2-22-1-1-122-2111111-2-2-1-1-122-2-22111-2-1-1-12-111-1-111-1-111-12-2-2200i3−i3i3−i3−i3i300i3−i3i3−i3−i3i3000000000000
χ532-2-22-1-1-122-2111111-2-2-1-1-12-222-2111-2-1-1-121-1-111-1-111-1-11-222-200−i3i3−i3i3i3−i300i3−i3i3−i3−i3i3000000000000
χ542-2-22-1-1-122-2111111-2-2-1-1-12-222-2111-2-1-1-121-1-111-1-111-1-11-222-200i3−i3i3−i3−i3i300−i3i3−i3i3i3−i3000000000000
χ5544444-2-2-2-4-444-2-2-2-2-2-24-2-2-20000-4222-422200000000000000000000000000000000000000000000
χ564444-24-2-2-4-4-2-244-2-2-2-2-24-2-200002-4222-42200000000000000000000000000000000000000000000
χ574444-2-24-2-4-4-2-2-2-244-2-2-2-24-2000022-4222-4200000000000000000000000000000000000000000000
χ584444-2-2-24-4-4-2-2-2-2-2-244-2-2-240000222-4222-400000000000000000000000000000000000000000000
χ5944-4-44-2-2-2004-4-22-22-22-42222222−22−22000000002222−22−22−2−222−2−222−2−2220000000000000000000000000000
χ6044-4-44-2-2-2004-4-22-22-22-4222−22−22222200000000−22−22222222−2−222−2−222−2−20000000000000000000000000000
χ6144-4-4-24-2-200-224-4-22-222-4222222−22−2200000000−2−2222222−22−22−2−222−2−2220000000000000000000000000000
χ6244-4-4-24-2-200-224-4-22-222-422−22−2222220000000022−2−2−22−22222222−2−222−2−20000000000000000000000000000
χ6344-4-4-2-24-200-22-224-4-2222-422222−22−2200000000−2−222−2−2222222−22−22−2−2220000000000000000000000000000
χ6444-4-4-2-24-200-22-224-4-2222-42−22−2222220000000022−2−222−2−2−22−22222222−2−20000000000000000000000000000
χ6544-4-4-2-2-2400-22-22-224-4222-42222−22−2200000000−2−222−2−222−2−2222222−22−220000000000000000000000000000
χ6644-4-4-2-2-2400-22-22-224-4222-4−22−2222220000000022−2−222−2−222−2−2−22−2222220000000000000000000000000000
χ674-44-44-2-2-200-442-22-22-2-422222−2222−220000000022−2222−22−22−22−22−22−22−220000000000000000000000000000
χ684-44-44-2-2-200-442-22-22-2-4222−2222−222200000000−2222−22222−22−22−22−22−22−20000000000000000000000000000
χ694-44-4-24-2-2002-2-442-22-22-42222−2222−2200000000−22−2222−2222−22−22−22−22−220000000000000000000000000000
χ704-44-4-24-2-2002-2-442-22-22-422−2222−2222000000002−22−2−2222−22222−22−22−22−20000000000000000000000000000
χ714-44-4-2-24-2002-22-2-442-222-4222−2222−2200000000−22−22−22−2222−2222−22−22−220000000000000000000000000000
χ724-44-4-2-24-2002-22-2-442-222-42−2222−2222000000002−22−22−22−2−2222−22222−22−20000000000000000000000000000
χ734-44-4-2-2-24002-22-22-2-44222-422−2222−2200000000−22−22−22−22−22−2222−2222−220000000000000000000000000000
χ744-44-4-2-2-24002-22-22-2-44222-4−2222−2222000000002−22−22−22−22−22−2−2222−22220000000000000000000000000000
χ754-4-444-2-2-2-44-4-42222224-2-2-200004-2-2-2-422200000000000000000000000000000000000000000000
χ764-4-44-24-2-2-4422-4-42222-24-2-20000-24-2-22-42200000000000000000000000000000000000000000000
χ774-4-44-2-24-2-442222-4-422-2-24-20000-2-24-222-4200000000000000000000000000000000000000000000
χ784-4-44-2-2-24-44222222-4-4-2-2-240000-2-2-24222-400000000000000000000000000000000000000000000

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