Finite Group Databasebeta

← Group #10592474

Character table — Group #10592474

Order 576.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222222222222222222244444444444444444444444488888888888888888818181818181818187272
order12223333446666666666668888121212121212121224242424242424242424242424242424246666666612121212121212122244888824
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
χ51111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-11
χ61111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111111111-1-1-1-1-1-1-1-1-1-1-1-111111-1
χ71111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-1111111111111-1-1-1-11-1
χ81111111111111111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-1-1-1-1-111111111-1-1-1-11111-11
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
χ1122222-1-1-1222-1-1-12-1-1-12-1-1-122222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-1-1-1-1-10000000000
χ1222222-1-1-1222-1-1-12-1-1-12-1-1-122222-1-1-12-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2111111-2-21111110000000000
χ1322222-1-1-1222-1-1-12-1-1-12-1-1-1-2-2-2-22-1-1-12-1-1-1-2-2-2-21111111111112-222-1-1-1-1-1-1-2-21111110000000000
χ1422222-1-1-1222-1-1-12-1-1-12-1-1-1-2-2-2-22-1-1-12-1-1-1-2-2-2-2111111111111-22-2-211111122-1-1-1-1-1-10000000000
χ152222-12-1-122-12-1-1-12-1-1-12-1-12222-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-10000000000
χ162222-12-1-122-12-1-1-12-1-1-12-1-12222-12-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-211-2-2111111-2-211110000000000
χ172222-12-1-122-12-1-1-12-1-1-12-1-1-2-2-2-2-12-1-1-12-1-11111-2-2-2-2111111112-2-1-122-1-1-1-111-2-211110000000000
χ182222-12-1-122-12-1-1-12-1-1-12-1-1-2-2-2-2-12-1-1-12-1-11111-2-2-2-211111111-2211-2-21111-1-122-1-1-1-10000000000
χ192222-1-12-122-1-12-1-1-12-1-1-12-12222-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-122-1-1-1-122-1-1-1-1-1-122-1-10000000000
χ202222-1-12-122-1-12-1-1-12-1-1-12-12222-1-12-1-1-12-1-1-1-1-1-1-1-1-12222-1-1-1-1-2-21111-2-2111111-2-2110000000000
χ212222-1-12-122-1-12-1-1-12-1-1-12-1-2-2-2-2-1-12-1-1-12-111111111-2-2-2-211112-2-1-1-1-122-1-11111-2-2110000000000
χ222222-1-12-122-1-12-1-1-12-1-1-12-1-2-2-2-2-1-12-1-1-12-111111111-2-2-2-21111-221111-2-211-1-1-1-122-1-10000000000
χ232222-1-1-1222-1-1-12-1-1-12-1-1-122222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-122-1-1-1-1-1-1220000000000
χ242222-1-1-1222-1-1-12-1-1-12-1-1-122222-1-1-12-1-1-12-1-1-1-1-1-1-1-1-1-1-1-12222-2-2111111-2-2111111-2-20000000000
χ252222-1-1-1222-1-1-12-1-1-12-1-1-12-2-2-2-2-1-1-12-1-1-12111111111111-2-2-2-22-2-1-1-1-1-1-122111111-2-20000000000
χ262222-1-1-1222-1-1-12-1-1-12-1-1-12-2-2-2-2-1-1-12-1-1-12111111111111-2-2-2-2-22111111-2-2-1-1-1-1-1-1220000000000
χ2722-2-22222002222-2-2-2-2-2-2-2-2−i2−i2i2i200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2000000000000000000002i−2i22−2−200
χ2822-2-22222002222-2-2-2-2-2-2-2-2−i2−i2i2i200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i200000000000000000000−2i2i−2−22200
χ2922-2-22222002222-2-2-2-2-2-2-2-2i2i2−i2−i200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2000000000000000000002i−2i−2−22200
χ3022-2-22222002222-2-2-2-2-2-2-2-2i2i2−i2−i200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i200000000000000000000−2i2i22−2−200
χ312-22-222222-2-2-2-2-22222-2-2-2-22i−2i2i−2i2222-2-2-2-22i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i0000000000000000000000000000
χ322-22-222222-2-2-2-2-22222-2-2-2-2−2i2i−2i2i2222-2-2-2-2−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i−2i2i0000000000000000000000000000
χ332-22-22222-22-2-2-2-22222-2-2-2-20000-2-2-2-22222000000000000000000000000000000000000002-22-200
χ342-22-22222-22-2-2-2-22222-2-2-2-20000-2-2-2-2222200000000000000000000000000000000000000-22-2200
χ352-22-22-1-1-12-2-21112-1-1-1-21112i−2i2i−2i2-1-1-1-21112i−2i2i−2i−ii−ii−ii−ii−ii−ii0000−i3i3−i3i3−i3i3003−33−33−30000000000
χ362-22-22-1-1-12-2-21112-1-1-1-21112i−2i2i−2i2-1-1-1-21112i−2i2i−2i−ii−ii−ii−ii−ii−ii0000i3−i3i3−i3i3−i300−33−33−330000000000
χ372-22-22-1-1-12-2-21112-1-1-1-2111−2i2i−2i2i2-1-1-1-2111−2i2i−2i2ii−ii−ii−ii−ii−ii−i0000−i3i3−i3i3−i3i300−33−33−330000000000
χ382-22-22-1-1-12-2-21112-1-1-1-2111−2i2i−2i2i2-1-1-1-2111−2i2i−2i2ii−ii−ii−ii−ii−ii−i0000i3−i3i3−i3i3−i3003−33−33−30000000000
χ392-22-2-12-1-12-21-211-12-1-11-2112i−2i2i−2i-12-1-11-211−ii−ii2i−2i2i−2i−ii−ii−ii−ii00−i3i300−i3i3i3−i33−3003−3−330000000000
χ402-22-2-12-1-12-21-211-12-1-11-2112i−2i2i−2i-12-1-11-211−ii−ii2i−2i2i−2i−ii−ii−ii−ii00i3−i300i3−i3−i3i3−3300−333−30000000000
χ412-22-2-12-1-12-21-211-12-1-11-211−2i2i−2i2i-12-1-11-211i−ii−i−2i2i−2i2ii−ii−ii−ii−i00−i3i300−i3i3i3−i3−3300−333−30000000000
χ422-22-2-12-1-12-21-211-12-1-11-211−2i2i−2i2i-12-1-11-211i−ii−i−2i2i−2i2ii−ii−ii−ii−i00i3−i300i3−i3−i3i33−3003−3−330000000000
χ432-22-2-1-12-12-211-21-1-12-111-212i−2i2i−2i-1-12-111-21−ii−ii−ii−ii2i−2i2i−2i−ii−ii00−i3i3i3−i300−i3i33−3−33003−30000000000
χ442-22-2-1-12-12-211-21-1-12-111-212i−2i2i−2i-1-12-111-21−ii−ii−ii−ii2i−2i2i−2i−ii−ii00i3−i3−i3i300i3−i3−333−300−330000000000
χ452-22-2-1-12-12-211-21-1-12-111-21−2i2i−2i2i-1-12-111-21i−ii−ii−ii−i−2i2i−2i2ii−ii−i00−i3i3i3−i300−i3i3−333−300−330000000000
χ462-22-2-1-12-12-211-21-1-12-111-21−2i2i−2i2i-1-12-111-21i−ii−ii−ii−i−2i2i−2i2ii−ii−i00i3−i3−i3i300i3−i33−3−33003−30000000000
χ472-22-2-1-1-122-2111-2-1-1-12111-22i−2i2i−2i-1-1-12111-2−ii−ii−ii−ii−ii−ii2i−2i2i−2i00−i3i3−i3i3i3−i3003−33−3−33000000000000
χ482-22-2-1-1-122-2111-2-1-1-12111-22i−2i2i−2i-1-1-12111-2−ii−ii−ii−ii−ii−ii2i−2i2i−2i00i3−i3i3−i3−i3i300−33−333−3000000000000
χ492-22-2-1-1-122-2111-2-1-1-12111-2−2i2i−2i2i-1-1-12111-2i−ii−ii−ii−ii−ii−i−2i2i−2i2i00−i3i3−i3i3i3−i300−33−333−3000000000000
χ502-22-2-1-1-122-2111-2-1-1-12111-2−2i2i−2i2i-1-1-12111-2i−ii−ii−ii−ii−ii−i−2i2i−2i2i00i3−i3i3−i3−i3i3003−33−3−33000000000000
χ512-2-22222200-2-2-2-2-2-2-2-222222−2−22000000002−2−222−2−222−2−222−2−220000000000000000002-2002−2−2200
χ522-2-22222200-2-2-2-2-2-2-2-222222−2−22000000002−2−222−2−222−2−222−2−22000000000000000000-2200−222−200
χ532-2-22222200-2-2-2-2-2-2-2-22222−222−200000000−222−2−222−2−222−2−222−20000000000000000002-200−222−200
χ542-2-22222200-2-2-2-2-2-2-2-22222−222−200000000−222−2−222−2−222−2−222−2000000000000000000-22002−2−2200
χ5544444-2-2-2-4-44-2-2-24-2-2-24-2-2-20000-4222-422200000000000000000000000000000000000000000000
χ564444-24-2-2-4-4-24-2-2-24-2-2-24-2-200002-4222-42200000000000000000000000000000000000000000000
χ574444-2-24-2-4-4-2-24-2-2-24-2-2-24-2000022-4222-4200000000000000000000000000000000000000000000
χ584444-2-2-24-4-4-2-2-24-2-2-24-2-2-240000222-4222-400000000000000000000000000000000000000000000
χ5944-4-44-2-2-2004-2-2-2-4222-4222−2i2−2i22i22i200000000−2i2−2i22i22i2i2i2−i2−i2i2i2−i2−i2i2i2−i2−i20000000000000000000000000000
χ6044-4-44-2-2-2004-2-2-2-4222-42222i22i2−2i2−2i2000000002i22i2−2i2−2i2−i2−i2i2i2−i2−i2i2i2−i2−i2i2i20000000000000000000000000000
χ6144-4-4-24-2-200-24-2-22-4222-422−2i2−2i22i22i200000000i2i2−i2−i2−2i2−2i22i22i2i2i2−i2−i2i2i2−i2−i20000000000000000000000000000
χ6244-4-4-24-2-200-24-2-22-4222-4222i22i2−2i2−2i200000000−i2−i2i2i22i22i2−2i2−2i2−i2−i2i2i2−i2−i2i2i20000000000000000000000000000
χ6344-4-4-2-24-200-2-24-222-4222-42−2i2−2i22i22i200000000i2i2−i2−i2i2i2−i2−i2−2i2−2i22i22i2i2i2−i2−i20000000000000000000000000000
χ6444-4-4-2-24-200-2-24-222-4222-422i22i2−2i2−2i200000000−i2−i2i2i2−i2−i2i2i22i22i2−2i2−2i2−i2−i2i2i20000000000000000000000000000
χ6544-4-4-2-2-2400-2-2-24222-4222-4−2i2−2i22i22i200000000i2i2−i2−i2i2i2−i2−i2i2i2−i2−i2−2i2−2i22i22i20000000000000000000000000000
χ6644-4-4-2-2-2400-2-2-24222-4222-42i22i2−2i2−2i200000000−i2−i2i2i2−i2−i2i2i2−i2−i2i2i22i22i2−2i2−2i20000000000000000000000000000
χ674-44-44-2-2-2-44-42224-2-2-2-42220000-42224-2-2-200000000000000000000000000000000000000000000
χ684-44-4-24-2-2-442-422-24-2-22-42200002-422-24-2-200000000000000000000000000000000000000000000
χ694-44-4-2-24-2-4422-42-2-24-222-42000022-42-2-24-200000000000000000000000000000000000000000000
χ704-44-4-2-2-24-44222-4-2-2-24222-40000222-4-2-2-2400000000000000000000000000000000000000000000
χ714-4-444-2-2-200-4222-42224-2-2-222−22−22220000000022−22−2222−222−2−222−2−222−20000000000000000000000000000
χ724-4-444-2-2-200-4222-42224-2-2-2−222222−2200000000−222222−222−2−222−2−222−2−220000000000000000000000000000
χ734-4-44-24-2-2002-4222-422-24-2-222−22−222200000000−222−222−22−2222−222−2−222−20000000000000000000000000000
χ744-4-44-24-2-2002-4222-422-24-2-2−222222−22000000002−2−22−222222−222−2−222−2−220000000000000000000000000000
χ754-4-44-2-24-20022-4222-42-2-24-222−22−222200000000−222−2−222−222−22−2222−222−20000000000000000000000000000
χ764-4-44-2-24-20022-4222-42-2-24-2−222222−22000000002−2−222−2−22−222222−222−2−220000000000000000000000000000
χ774-4-44-2-2-2400222-4222-4-2-2-2422−22−222200000000−222−2−222−2−222−222−22−22220000000000000000000000000000
χ784-4-44-2-2-2400222-4222-4-2-2-24−222222−22000000002−2−222−2−222−2−22−222222−220000000000000000000000000000

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