Finite Group Databasebeta

← Group #11812845

Character table — Group #11812845

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222444444444488888888888888888888888888121212121212121212121212121212121818181818181818242424242424242424242424242424247272
order12222222336666666666666634466666664412121212121212121212121212121212121212121212121222444444444444442222444466121212121212121212121212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1
χ4111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-1111111111111-1-1-1-1-1-11111-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-1-1-11111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111111111-1-1-1-1111111-1-1-1-111-1-1
χ91111111111111111111111111-1-111111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-11
χ101111111111111111111111111-1-111111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-111111-1
χ111111111111111111111111111-1-111111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-11111-1-111-1-1111111-1-1-1-11-1
χ121111111111111111111111111-1-111111111-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-111-1-1-1-111-1-11111-11
χ131111111111111111111111111-1-11111111-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-111-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1-1-11111-1-1111-1
χ141111111111111111111111111-1-11111111-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-11
χ151111111111111111111111111-1-11111111-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1111111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-111-1-111-11
χ161111111111111111111111111-1-11111111-11-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-11-1
χ17222222222-1222-1-12-1-12-1-12-12-122-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1222200220022000000000000-1-1-1-1-1-100-1-100000000
χ18222222222-1222-1-12-1-12-1-12-12-122-1-1-1-1-1-1-12222-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-200-2-200-2-2000000000000111111001100000000
χ19222222222-1222-1-12-1-12-1-12-12-122-1-1-1-1-1-1-1-2-2-2-21111-1-1-2-222-1-1-1-111111111222200-2-200-2-2000000000000-1-1-1-111001100000000
χ20222222222-1222-1-12-1-12-1-12-12-122-1-1-1-1-1-1-1-2-2-2-21111-1-1-2-222-1-1-1-111111111-2-2-2-2002200220000000000001111-1-100-1-100000000
χ21222222222-1222-1-12-1-12-1-12-12-1-2-2-1-1-1-1-1-1-12-222-1-11111-2-2-2-21111-1-1-1-1111122-2-2002200-2-2000000000000-1-111-1-1001100000000
χ22222222222-1222-1-12-1-12-1-12-12-1-2-2-1-1-1-1-1-1-12-222-1-11111-2-2-2-21111-1-1-1-11111-2-22200-2-2002200000000000011-1-11100-1-100000000
χ23222222222-1222-1-12-1-12-1-12-12-1-2-2-1-1-1-1-1-1-1-22-2-211-1-11122-2-211111111-1-1-1-122-2-200-2-20022000000000000-1-1111100-1-100000000
χ24222222222-1222-1-12-1-12-1-12-12-1-2-2-1-1-1-1-1-1-1-22-2-211-1-11122-2-211111111-1-1-1-1-2-222002200-2-200000000000011-1-1-1-1001100000000
χ2522222222-12-1-1-122-122-122-12-1-122-1-1-1-1-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022002200222200000000000000-1-100-1-1-1-1-1-100
χ2622222222-12-1-1-122-122-122-12-1-122-1-1-1-1-1-1-122-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-200-2-200-2-2-2-200000000000000110011111100
χ2722222222-12-1-1-122-122-122-12-1-122-1-1-1-1-1-1-1-2-211-2-2-2-22211-1-1-1-1-1-11111111100002200-2-20022-2-2000000000000001100-1-1-1-11100
χ2822222222-12-1-1-122-122-122-12-1-122-1-1-1-1-1-1-1-2-211-2-2-2-22211-1-1-1-1-1-1111111110000-2-2002200-2-22200000000000000-1-1001111-1-100
χ2922222222-12-1-1-122-122-122-12-1-1-2-2-1-1-1-1-1-1-12-2-1-122-2-2-2-211111111-1-1-1-11111000022002200-2-2-2-200000000000000-1-100-1-1111100
χ3022222222-12-1-1-122-122-122-12-1-1-2-2-1-1-1-1-1-1-12-2-1-122-2-2-2-211111111-1-1-1-111110000-2-200-2-200222200000000000000110011-1-1-1-100
χ3122222222-12-1-1-122-122-122-12-1-1-2-2-1-1-1-1-1-1-1-2211-2-222-2-2-1-11111111111-1-1-1-100002200-2-200-2-222000000000000001100-1-111-1-100
χ3222222222-12-1-1-122-122-122-12-1-1-2-2-1-1-1-1-1-1-1-2211-2-222-2-2-1-11111111111-1-1-1-10000-2-200220022-2-200000000000000-1-10011-1-11100
χ3322-2-222-2-2222-2-22-2-22-222-22-2-222i−2i22-2-22-2-2000000002i−2i002i−2i2i2i−2i−2i00000000000000000000000022-2-22i2i−2i−2i000000000000000000
χ3422-2-222-2-2222-2-22-2-22-222-22-2-222i−2i22-2-22-2-2000000002i−2i002i−2i2i2i−2i−2i000000000000000000000000-2-222−2i−2i2i2i000000000000000000
χ3522-2-222-2-2222-2-22-2-22-222-22-2-22−2i2i22-2-22-2-200000000−2i2i00−2i2i−2i−2i2i2i00000000000000000000000022-2-2−2i−2i2i2i000000000000000000
χ3622-2-222-2-2222-2-22-2-22-222-22-2-22−2i2i22-2-22-2-200000000−2i2i00−2i2i−2i−2i2i2i000000000000000000000000-2-2222i2i−2i−2i000000000000000000
χ372-22-22-22-222-22-2-22222-2-2-22-2-2200-2-22-222-200000000000000000000000000002i−2i000000002i−2i002-22-20000002i−2i000000002i−2i0000
χ382-22-22-22-222-22-2-22222-2-2-22-2-2200-2-22-222-200000000000000000000000000002i−2i00000000−2i2i00-22-220000002i−2i00000000−2i2i0000
χ392-22-22-22-222-22-2-22222-2-2-22-2-2200-2-22-222-20000000000000000000000000000−2i2i000000002i−2i00-22-22000000−2i2i000000002i−2i0000
χ402-22-22-22-222-22-2-22222-2-2-22-2-2200-2-22-222-20000000000000000000000000000−2i2i00000000−2i2i002-22-2000000−2i2i00000000−2i2i0000
χ412-22-2-22-2222-2-2-2-2-22-2222-2-2222002-2-2-2-222000000000000000000000000000000002-20000002-200002-22-200002-2000000002-200
χ422-22-2-22-2222-2-2-2-2-22-2222-2-2222002-2-2-2-222000000000000000000000000000000002-2000000-220000-22-2200002-200000000-2200
χ432-22-2-22-2222-2-2-2-2-22-2222-2-2222002-2-2-2-22200000000000000000000000000000000-220000002-20000-22-220000-22000000002-200
χ442-22-2-22-2222-2-2-2-2-22-2222-2-2222002-2-2-2-22200000000000000000000000000000000-22000000-2200002-22-20000-2200000000-2200
χ452-2-222-2-2222-2-22-2-2-22-2-2-22222200-2-2-222-22000000000000000000000000002-2002-200000000002-2-2200002-2000000002-2000000
χ462-2-222-2-2222-2-22-2-2-22-2-2-22222200-2-2-222-22000000000000000000000000002-200-220000000000-222-200002-200000000-22000000
χ472-2-222-2-2222-2-22-2-2-22-2-2-22222200-2-2-222-2200000000000000000000000000-22002-20000000000-222-20000-22000000002-2000000
χ482-2-222-2-2222-2-22-2-2-22-2-2-22222200-2-2-222-2200000000000000000000000000-2200-2200000000002-2-220000-2200000000-22000000
χ492-2-22-222-222-222-22-2-2-2222-2-2-22002-222-2-2-200000000000000000000000000000000002-22i−2i000000002i−2i−2i2i0000002-22i−2i00000000
χ502-2-22-222-222-222-22-2-2-2222-2-2-22002-222-2-2-200000000000000000000000000000000002-2−2i2i00000000−2i2i2i−2i0000002-2−2i2i00000000
χ512-2-22-222-222-222-22-2-2-2222-2-2-22002-222-2-2-20000000000000000000000000000000000-222i−2i00000000−2i2i2i−2i000000-222i−2i00000000
χ522-2-22-222-222-222-22-2-2-2222-2-2-22002-222-2-2-20000000000000000000000000000000000-22−2i2i000000002i−2i−2i2i000000-22−2i2i00000000
χ5344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144111111144-2-2-2-2-2-2-2-2-2-2-2-2111111111111000000000000000000000000000000000000000000
χ5444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21441111111-4-4222222-2-222-2-21111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ5544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-411111114-4-2-2-2-222222222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000000000
χ5644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-41111111-442222-2-222-2-222-1-1-1-1-1-1-1-11111000000000000000000000000000000000000000000
χ574444-4-4-4-4444-444-44-44-4-44-4-4-4400-44-44-44-400000000000000000000000000000000000000000000000000000000000000000000
χ584444-4-4-4-44-24-44-2242-2-42-2-42-4-2002-22-22-2200000023−23000000000000002323−23−23000000000000000000000000000000000000000000
χ594444-4-4-4-44-24-44-2242-2-42-2-42-4-2002-22-22-22000000−232300000000000000−23−232323000000000000000000000000000000000000000000
χ604444-4-4-4-4-24-22-24-4-2-442-442-42-2002-22-22-2200−2i32i300000000000000−2i3−2i32i32i30000000000000000000000000000000000000000000000
χ614444-4-4-4-4-24-22-24-4-2-442-442-42-2002-22-22-22002i3−2i3000000000000002i32i3−2i3−2i30000000000000000000000000000000000000000000000
χ624444-4-4-4-4-2-2-22-2-22-22-222-2222100-11-11-11-100−2i32i30023−230000003i−3i3i−3ii3i3−i3−i3−3−333000000000000000000000000000000000000000000
χ634444-4-4-4-4-2-2-22-2-22-22-222-2222100-11-11-11-100−2i32i300−2323000000−3i3i−3i3ii3i3−i3−i333−3−3000000000000000000000000000000000000000000
χ644444-4-4-4-4-2-2-22-2-22-22-222-2222100-11-11-11-1002i3−2i30023−23000000−3i3i−3i3i−i3−i3i3i3−3−333000000000000000000000000000000000000000000
χ654444-4-4-4-4-2-2-22-2-22-22-222-2222100-11-11-11-1002i3−2i300−23230000003i−3i3i−3i−i3−i3i3i333−3−3000000000000000000000000000000000000000000
χ6644-4-444-4-44-24-4-4-22-4-224-2242-4-24i−4i-2-222-22200000000−2i2i004i−4i−2i−2i2i2i00000000000000000000000000000000000000000000000000
χ6744-4-444-4-44-24-4-4-22-4-224-2242-4-2−4i4i-2-222-222000000002i−2i00−4i4i2i2i−2i−2i00000000000000000000000000000000000000000000000000
χ6844-4-444-4-4-24-2224-424-4-24-4-2-42-24i−4i-2-222-222000000004i−4i00−2i2i−2i−2i2i2i00000000000000000000000000000000000000000000000000
χ6944-4-444-4-4-24-2224-424-4-24-4-2-42-2−4i4i-2-222-22200000000−4i4i002i−2i2i2i−2i−2i00000000000000000000000000000000000000000000000000
χ7044-4-444-4-4-2-2-222-222-22-2-22-22214i−4i11-1-11-1-100000000−2i2i00−2i2iii−i−i3i−3i3i−3i3-33-3000000000000000000000000000000000000000000
χ7144-4-444-4-4-2-2-222-222-22-2-22-22214i−4i11-1-11-1-100000000−2i2i00−2i2iii−i−i−3i3i−3i3i-33-33000000000000000000000000000000000000000000
χ7244-4-444-4-4-2-2-222-222-22-2-22-2221−4i4i11-1-11-1-1000000002i−2i002i−2i−i−iii3i−3i3i−3i-33-33000000000000000000000000000000000000000000
χ7344-4-444-4-4-2-2-222-222-22-2-22-2221−4i4i11-1-11-1-1000000002i−2i002i−2i−i−iii−3i3i−3i3i3-33-3000000000000000000000000000000000000000000
χ7444-4-4-4-4444444-444-4-4-4-4-4-4-444400-444-4-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ7544-4-4-4-4444-244-4-2-2-422-422-4-24-2002-2-2222-2000023−2300000000000023−23−23230000000000000000000000000000000000000000000000
χ7644-4-4-4-4444-244-4-2-2-422-422-4-24-2002-2-2222-20000−2323000000000000−232323−230000000000000000000000000000000000000000000000
χ7744-4-4-4-444-24-2-22442-4-42-4-424-2-2002-2-2222-2000000000023−23000000000023−23−2323000000000000000000000000000000000000000000
χ7844-4-4-4-444-24-2-22442-4-42-4-424-2-2002-2-2222-20000000000−23230000000000−232323−23000000000000000000000000000000000000000000
χ7944-4-4-4-444-2-2-2-22-2-22222222-2-2100-111-1-1-11000023−23000023−2300-333-3−333−3−333−3000000000000000000000000000000000000000000
χ8044-4-4-4-444-2-2-2-22-2-22222222-2-2100-111-1-1-11000023−230000−2323003-3-33−333−33−3−33000000000000000000000000000000000000000000
χ8144-4-4-4-444-2-2-2-22-2-22222222-2-2100-111-1-1-110000−2323000023−23003-3-333−3−33−333−3000000000000000000000000000000000000000000
χ8244-4-4-4-444-2-2-2-22-2-22222222-2-2100-111-1-1-110000−23230000−232300-333-33−3−333−3−33000000000000000000000000000000000000000000
χ834-44-44-44-44-2-44-42-24-2-2-42242-4-20022-22-2-2200000000000000000000000000004i−4i0000000000000000000000−2i2i00000000000000
χ844-44-44-44-44-2-44-42-24-2-2-42242-4-20022-22-2-220000000000000000000000000000−4i4i00000000000000000000002i−2i00000000000000
χ854-44-44-44-4-242-22-44-2442-4-4-2-42-20022-22-2-22000000000000000000000000000000000000004i−4i0000000000000000000000−2i2i0000
χ864-44-44-44-4-242-22-44-2442-4-4-2-42-20022-22-2-2200000000000000000000000000000000000000−4i4i00000000000000000000002i−2i0000
χ874-44-4-44-444-2-4-4-42242-24-22-4-24-200-22222-2-2000000000000000000000000000000004-400000000000000000000-22000000000000
χ884-44-4-44-444-2-4-4-42242-24-22-4-24-200-22222-2-200000000000000000000000000000000-44000000000000000000002-2000000000000
χ894-44-4-44-44-24222-4-4-2-44-24-424-2-200-22222-2-200000000000000000000000000000000000000004-40000000000000000000000-2200
χ904-44-4-44-44-24222-4-4-2-44-24-424-2-200-22222-2-20000000000000000000000000000000000000000-4400000000000000000000002-200
χ914-4-444-4-444-2-4-4422-4-22-42-24-24-200222-2-22-2000000000000000000000000004-40000000000000000000000-220000000000000000
χ924-4-444-4-444-2-4-4422-4-22-42-24-24-200222-2-22-200000000000000000000000000-4400000000000000000000002-20000000000000000
χ934-4-444-4-44-2422-2-4-424-42-44-24-2-200222-2-22-20000000000000000000000000000004-40000000000000000000000000000-22000000
χ944-4-444-4-44-2422-2-4-424-42-44-24-2-200222-2-22-2000000000000000000000000000000-4400000000000000000000000000002-2000000
χ954-4-44-444-44-2-4442-2-4224-2-2-42-4-200-22-2-22220000000000000000000000000000000000004i−4i00000000000000000000−2i2i00000000
χ964-4-44-444-44-2-4442-2-4224-2-2-42-4-200-22-2-2222000000000000000000000000000000000000−4i4i000000000000000000002i−2i00000000
χ974-4-44-444-4-242-2-2-442-4-4-2442-42-200-22-2-222200000000000000000000000000000000004-400000000000000000000-220000000000
χ984-4-44-444-4-242-2-2-442-4-4-2442-42-200-22-2-22220000000000000000000000000000000000-44000000000000000000002-20000000000
χ998-88-88-88-8-4-44-444-4-4-4-4444-444200-2-22-222-200000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-88-88-4-444444-44-4-4-444-4-42002-2-2-2-22200000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-888-8-88-4-444-4444-4444-4-4-4-4200-2-2-222-2200000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-888-8-4-44-4-44-4444-4-4-44442002-222-2-2-200000000000000000000000000000000000000000000000000000000000000000000

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