Finite Group Databasebeta

← Group #11812851

Character table — Group #11812851

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111111122222222222222224444444444444488888888888888888888888812121212121212121818181818181818242424242424242424242424242424242424242436363636
order122222223366666666666666344444466666661212121212121212121212121212121212121212121212122244444422224444244466661212121212121212121212124444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ5111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-111-111-1-111-1-111-1-111-1-111-1-1
χ6111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-111-1-1-1-11111-11-1111-1-111-1-1-1-111-1-111-1-111
χ7111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111-11-1-1-111-1-11111-1-111-1-1-1-111
χ8111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11-1-11-1-111-1-111-1-111-1-11111-1-1
χ91111111111111111111111111-1-111-1-11111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111111111111111-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-1
χ101111111111111111111111111-1-111-1-11111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111
χ111111111111111111111111111-1-111-1-11111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111-1-11111
χ121111111111111111111111111-1-111-1-11111111-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-111-1-1-1-111-1-1-1-1
χ131111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-111-1-11111-1-1-1-11-1-111111-1-1-1-1-1-1-1-11111-1-111
χ141111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-111111-11-11111-1-1-1-11111-1-1-1-111-1-1
χ151111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-11-11-1-1-1-11111-1-1-1-1111111-1-1
χ161111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-1-111-1-1-1-1-111111111-1-1-1-1-1-111
χ17222222222-1222-1-1-12-1-12-1-122-1222222-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000000000002200-1-1-1-1-1-1-1-1000000000000
χ18222222222-1222-1-1-12-1-12-1-122-1222222-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000000000-2-20011111111000000000000
χ19222222222-1222-1-1-12-1-12-1-122-122-2-2-2-2-1-1-1-1-1-1-122-1-11111-2-2-2-2-1-1-1-11111111122-2-2000000000000-2200-1-111-1-111000000000000
χ20222222222-1222-1-1-12-1-12-1-122-122-2-2-2-2-1-1-1-1-1-1-122-1-11111-2-2-2-2-1-1-1-111111111-2-2220000000000002-20011-1-111-1-1000000000000
χ21222222222-1222-1-1-12-1-12-1-122-1-2-222-2-2-1-1-1-1-1-1-1-2-211-1-11122-2-21111-1-1-1-111112222000000000000-2-200-1-11111-1-1000000000000
χ22222222222-1222-1-1-12-1-12-1-122-1-2-222-2-2-1-1-1-1-1-1-1-2-211-1-11122-2-21111-1-1-1-11111-2-2-2-2000000000000220011-1-1-1-111000000000000
χ23222222222-1222-1-1-12-1-12-1-122-1-2-2-2-222-1-1-1-1-1-1-1-2-21111-1-1-2-22211111111-1-1-1-122-2-20000000000002-200-1-1-1-11111000000000000
χ24222222222-1222-1-1-12-1-12-1-122-1-2-2-2-222-1-1-1-1-1-1-1-2-21111-1-1-2-22211111111-1-1-1-1-2-222000000000000-22001111-1-1-1-1000000000000
χ2522222222-12-1-1-1222-122-122-1-1-1222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000222200000000002200000000-1-1-1-1-1-1-1-10000
χ2622222222-12-1-1-1222-122-122-1-1-1222222-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000000-2-200000000111111110000
χ2722222222-12-1-1-1222-122-122-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-122-2-2-2-21111-1-1-1-111111111000022-2-200000000002-200000000-1-111-1-1110000
χ2822222222-12-1-1-1222-122-122-1-1-122-2-2-2-2-1-1-1-1-1-1-1-1-122-2-2-2-21111-1-1-1-1111111110000-2-2220000000000-220000000011-1-111-1-10000
χ2922222222-12-1-1-1222-122-122-1-1-1-2-222-2-2-1-1-1-1-1-1-111-2-222-2-2-1-1111111-1-1-1-11111000022220000000000-2-20000000011-1-1-1-1110000
χ3022222222-12-1-1-1222-122-122-1-1-1-2-222-2-2-1-1-1-1-1-1-111-2-222-2-2-1-1111111-1-1-1-111110000-2-2-2-200000000002200000000-1-11111-1-10000
χ3122222222-12-1-1-1222-122-122-1-1-1-2-2-2-222-1-1-1-1-1-1-111-2-2-2-22211-1-111111111-1-1-1-1000022-2-20000000000-22000000001111-1-1-1-10000
χ3222222222-12-1-1-1222-122-122-1-1-1-2-2-2-222-1-1-1-1-1-1-111-2-2-2-22211-1-111111111-1-1-1-10000-2-22200000000002-200000000-1-1-1-111110000
χ3322-2-2-222-2222-2-222-222-2-2-2-2-222002i−2i0022-2-2-22-200002i−2i002i−2i0000002i2i−2i−2i00000000000022-2-22i2i−2i−2i000000000000000000000000
χ3422-2-2-222-2222-2-222-222-2-2-2-2-222002i−2i0022-2-2-22-200002i−2i002i−2i0000002i2i−2i−2i000000000000-2-222−2i−2i2i2i000000000000000000000000
χ3522-2-2-222-2222-2-222-222-2-2-2-2-22200−2i2i0022-2-2-22-20000−2i2i00−2i2i000000−2i−2i2i2i00000000000022-2-2−2i−2i2i2i000000000000000000000000
χ3622-2-2-222-2222-2-222-222-2-2-2-2-22200−2i2i0022-2-2-22-20000−2i2i00−2i2i000000−2i−2i2i2i000000000000-2-2222i2i−2i−2i000000000000000000000000
χ372-222-22-2-222-22-22-22-2-2-222-2-2220000002-222-2-2-2000000000000000000000000002i−2i002i−2i2-22-2000000000000002i−2i002i−2i00000000
χ382-222-22-2-222-22-22-22-2-2-222-2-2220000002-222-2-2-2000000000000000000000000002i−2i00−2i2i-22-22000000000000002i−2i00−2i2i00000000
χ392-222-22-2-222-22-22-22-2-2-222-2-2220000002-222-2-2-200000000000000000000000000−2i2i002i−2i-22-2200000000000000−2i2i002i−2i00000000
χ402-222-22-2-222-22-22-22-2-2-222-2-2220000002-222-2-2-200000000000000000000000000−2i2i00−2i2i2-22-200000000000000−2i2i00−2i2i00000000
χ412-22-22-22-222-222-2-2-222-2-222-2-222-20000-2-22-222-22-22-20000000022-2-2000000000000000000002i−2i2i−2i00000000000000000000002i−2i
χ422-22-22-22-222-222-2-2-222-2-222-2-222-20000-2-22-222-22-22-20000000022-2-200000000000000000000−2i2i−2i2i0000000000000000000000−2i2i
χ432-22-22-22-222-222-2-2-222-2-222-2-22-220000-2-22-222-2-22-2200000000-2-222000000000000000000002i−2i2i−2i0000000000000000000000−2i2i
χ442-22-22-22-222-222-2-2-222-2-222-2-22-220000-2-22-222-2-22-2200000000-2-22200000000000000000000−2i2i−2i2i00000000000000000000002i−2i
χ452-2-22-2-22222-2-2-2-2-222222-2-22-2200002-2-2-2-22-2220000002-2002-20000000022-2-20000000000002-2-22000000000000000000002-200
χ462-2-22-2-22222-2-2-2-2-222222-2-22-2200002-2-2-2-22-2220000002-2002-20000000022-2-2000000000000-222-200000000000000000000-2200
χ472-2-22-2-22222-2-2-2-2-222222-2-22-220000-22-2-2-22-222000000-2200-2200000000-2-2220000000000002-2-2200000000000000000000-2200
χ482-2-22-2-22222-2-2-2-2-222222-2-22-220000-22-2-2-22-222000000-2200-2200000000-2-222000000000000-222-2000000000000000000002-200
χ492-2-2-222-2222-2-222-2-2-2-22-2-222220000002-2-2-22-220000000000000000000000002-2002-2002-2-22000000002-200000000002-2000000
χ502-2-2-222-2222-2-222-2-2-2-22-2-222220000002-2-2-22-220000000000000000000000002-200-2200-222-2000000002-20000000000-22000000
χ512-2-2-222-2222-2-222-2-2-2-22-2-222220000002-2-2-22-22000000000000000000000000-22002-200-222-200000000-2200000000002-2000000
χ522-2-2-222-2222-2-222-2-2-2-22-2-222220000002-2-2-22-22000000000000000000000000-2200-22002-2-2200000000-220000000000-22000000
χ5344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-214444441111111-2-2-2-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000000
χ5444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144-4-4-4-41111111-2-2-2-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000000
χ5544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-444-4-411111112222-2-222-2-222-1-1-1-11111-1-1-1-10000000000000000000000000000000000000000
χ5644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-4-4-4441111111222222-2-222-2-2-1-1-1-1-1-1-1-111110000000000000000000000000000000000000000
χ57444-4-4-4-444444-4-44-4-4-44-44-44-44000000-444-4-4-440000000000000000000000000000000000000000000000000000000000000000
χ58444-4-4-4-444-244-42-22-42-2-4-224-4-20000002-2-2222-20000000000000000000000000000000000000000000000−2i32i30000000000000000
χ59444-4-4-4-444-244-42-22-42-2-4-224-4-20000002-2-2222-200000000000000000000000000000000000000000000002i3−2i30000000000000000
χ60444-4-4-4-44-24-2-22-44-42-4424-4-22-20000002-2-2222-2000000000000000000000000000000000000000000000000000000000023−230000
χ61444-4-4-4-44-24-2-22-44-42-4424-4-22-20000002-2-2222-20000000000000000000000000000000000000000000000000000000000−23230000
χ6244-444-4-4-4444-44-444-4-4-44-44-4-44000000-44-444-4-40000000000000000000000000000000000000000000000000000000000000000
χ6344-444-4-4-44-24-442-2-2-42242-2-4-4-20000002-22-2-22200000000000000000000000000000000000000000000000023−2300000000000000
χ6444-444-4-4-44-24-442-2-2-42242-2-4-4-20000002-22-2-222000000000000000000000000000000000000000000000000−232300000000000000
χ6544-444-4-4-4-24-22-2-4442-4-4-2-4422-20000002-22-2-2220000000000000000000000000000000000000000000000000000−2i32i30000000000
χ6644-444-4-4-4-24-22-2-4442-4-4-2-4422-20000002-22-2-22200000000000000000000000000000000000000000000000000002i3−2i30000000000
χ6744-4-4-444-44-24-4-4-2-224-22-422-44-2004i−4i00-2-2222-220000−2i2i004i−4i000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ6844-4-4-444-44-24-4-4-2-224-22-422-44-200−4i4i00-2-2222-2200002i−2i00−4i4i0000002i2i−2i−2i00000000000000000000000000000000000000000000
χ6944-4-4-444-4-24-22244-4-24-42-4-42-2-2004i−4i00-2-2222-2200004i−4i00−2i2i000000−2i−2i2i2i00000000000000000000000000000000000000000000
χ7044-4-4-444-4-24-22244-4-24-42-4-42-2-200−4i4i00-2-2222-220000−4i4i002i−2i0000002i2i−2i−2i00000000000000000000000000000000000000000000
χ7144-4-4-444-4-2-2-222-2-22-2-222222-21004i−4i0011-1-1-11-10000−2i2i00−2i2i003-33-3ii−i−i3i−3i3i−3i0000000000000000000000000000000000000000
χ7244-4-4-444-4-2-2-222-2-22-2-222222-21004i−4i0011-1-1-11-10000−2i2i00−2i2i00-33-33ii−i−i−3i3i−3i3i0000000000000000000000000000000000000000
χ7344-4-4-444-4-2-2-222-2-22-2-222222-2100−4i4i0011-1-1-11-100002i−2i002i−2i003-33-3−i−iii−3i3i−3i3i0000000000000000000000000000000000000000
χ7444-4-4-444-4-2-2-222-2-22-2-222222-2100−4i4i0011-1-1-11-100002i−2i002i−2i00-33-33−i−iii3i−3i3i−3i0000000000000000000000000000000000000000
χ754-444-44-4-44-2-44-4-22-2-4224-22-44-2000000-22-2-2222000000000000000000000000004i−4i0000000000000000000000−2i2i000000000000
χ764-444-44-4-44-2-44-4-22-2-4224-22-44-2000000-22-2-222200000000000000000000000000−4i4i00000000000000000000002i−2i000000000000
χ774-444-44-4-4-242-224-442-4-4-24-42-2-2000000-22-2-22220000000000000000000000000000004i−4i0000000000000000000000−2i2i00000000
χ784-444-44-4-4-242-224-442-4-4-24-42-2-2000000-22-2-2222000000000000000000000000000000−4i4i00000000000000000000002i−2i00000000
χ794-44-44-44-44-2-4442224-22-4-2-2-4-4-24-4000022-22-2-224-4-2200000000-2-222000000000000000000000000000000000000000000000000
χ804-44-44-44-44-2-4442224-22-4-2-2-4-4-2-44000022-22-2-22-442-20000000022-2-2000000000000000000000000000000000000000000000000
χ814-44-44-44-4-242-2-2-4-4-4-24-424422-24-4000022-22-2-22-224-400000000-2-222000000000000000000000000000000000000000000000000
χ824-44-44-44-4-242-2-2-4-4-4-24-424422-2-44000022-22-2-222-2-440000000022-2-2000000000000000000000000000000000000000000000000
χ834-44-44-44-4-2-22-2-2222-2-222-2-22214-40000-1-11-111-1-22-220000000011-1-13i−3i3i−3i3i−3i−3i3i0000000000000000000000000000000000000000
χ844-44-44-44-4-2-22-2-2222-2-222-2-22214-40000-1-11-111-1-22-220000000011-1-1−3i3i−3i3i−3i3i3i−3i0000000000000000000000000000000000000000
χ854-44-44-44-4-2-22-2-2222-2-222-2-2221-440000-1-11-111-12-22-200000000-1-1113i−3i3i−3i−3i3i3i−3i0000000000000000000000000000000000000000
χ864-44-44-44-4-2-22-2-2222-2-222-2-2221-440000-1-11-111-12-22-200000000-1-111−3i3i−3i3i3i−3i−3i3i0000000000000000000000000000000000000000
χ874-4-44-4-4444-2-4-4-422-24-2-24224-4-200004-4222-22-2-2000000-22004-400000000-2-2220000000000000000000000000000000000000000
χ884-4-44-4-4444-2-4-4-422-24-2-24224-4-20000-44222-22-2-20000002-200-440000000022-2-20000000000000000000000000000000000000000
χ894-4-44-4-444-24222-4-44-244-2-4-4-22-200004-4222-22-2-20000004-400-2200000000-2-2220000000000000000000000000000000000000000
χ904-4-44-4-444-24222-4-44-244-2-4-4-22-20000-44222-22-2-2000000-44002-20000000022-2-20000000000000000000000000000000000000000
χ914-4-44-4-444-2-222222-2-2-2-2-222-22100004-4-1-1-11-111000000-2200-223-3-333-3-3311-1-10000000000000000000000000000000000000000
χ924-4-44-4-444-2-222222-2-2-2-2-222-22100004-4-1-1-11-111000000-2200-22-333-3-333-311-1-10000000000000000000000000000000000000000
χ934-4-44-4-444-2-222222-2-2-2-2-222-2210000-44-1-1-11-1110000002-2002-23-3-33-333-3-1-1110000000000000000000000000000000000000000
χ944-4-44-4-444-2-222222-2-2-2-2-222-2210000-44-1-1-11-1110000002-2002-2-333-33-3-33-1-1110000000000000000000000000000000000000000
χ954-4-4-444-444-2-4-44-222-42-2-42-244-2000000-2222-22-20000000000000000000000004-4000000000000000000-22000000000000000000
χ964-4-4-444-444-2-4-44-222-42-2-42-244-2000000-2222-22-2000000000000000000000000-440000000000000000002-2000000000000000000
χ974-4-4-444-44-2422-24-4-42-442-44-2-2-2000000-2222-22-200000000000000000000000000004-400000000000000000000000000-22000000
χ984-4-4-444-44-2422-24-4-42-442-44-2-2-2000000-2222-22-20000000000000000000000000000-44000000000000000000000000002-2000000
χ99888-8-8-8-88-4-4-4-444-4444-44-44-442000000-222-2-2-220000000000000000000000000000000000000000000000000000000000000000
χ10088-888-8-8-8-4-4-44-44-4-4444-44-4442000000-22-222-2-20000000000000000000000000000000000000000000000000000000000000000
χ1018-888-88-8-8-4-44-44-44-4444-4-444-420000002-222-2-2-20000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8-888-88-4-444-4-44444-444-4-4-420000002-2-2-22-220000000000000000000000000000000000000000000000000000000000000000

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