Finite Group Databasebeta

← Group #11810329

Character table — Group #11810329

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222444444444488888888888888888888888888121212121212121212121212121212121818181818181818242424242424242424242424242424247272
order1222222233666666666666663446666666441212121212121212121212121212121212121212121212122222224444444444222244446666661212121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1
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
χ51111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-111
χ61111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111111111-1-111-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111111111-1-1111111-1-1-1-1-1-1-1-1
χ81111111111111111111111111111111111-1-111-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-11111
χ91111111111111111111111111-1-111111111-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1-1-111-1-111-1-1-1-111111111-1-111-1-1-1-1-1-111-11
χ101111111111111111111111111-1-111111111-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-111-1-11111-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-11-1
χ111111111111111111111111111-1-111111111-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-111111-1
χ121111111111111111111111111-1-111111111-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1111111-1-1-11
χ131111111111111111111111111-1-11111111-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-1-1-1-11
χ141111111111111111111111111-1-11111111-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-1111-1
χ151111111111111111111111111-1-11111111-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-11-1
χ161111111111111111111111111-1-11111111-11-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-11111-1-11111-11
χ17222222222-122-1-1-122-1-122-12-1-122-1-1-1-1-1-1-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000222200000000000000-1-1-1-1-1-10000-1-10000
χ18222222222-122-1-1-122-1-122-12-1-122-1-1-1-1-1-1-122-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2000000000000001111110000110000
χ19222222222-122-1-1-122-1-122-12-1-122-1-1-1-1-1-1-1-2-2-1-1-2-211-2-22211-1-1-1-11111111122-2-2000022-2-200000000000000-1-111110000-1-10000
χ20222222222-122-1-1-122-1-122-12-1-122-1-1-1-1-1-1-1-2-2-1-1-2-211-2-22211-1-1-1-111111111-2-2220000-2-2220000000000000011-1-1-1-10000110000
χ21222222222-122-1-1-122-1-122-12-1-1-2-2-1-1-1-1-1-1-12-21122-1-1-2-2-2-2111111-1-1-1-1111122-2-20000-2-22200000000000000-1-111-1-10000110000
χ22222222222-122-1-1-122-1-122-12-1-1-2-2-1-1-1-1-1-1-12-21122-1-1-2-2-2-2111111-1-1-1-11111-2-222000022-2-20000000000000011-1-1110000-1-10000
χ23222222222-122-1-1-122-1-122-12-1-1-2-2-1-1-1-1-1-1-1-2211-2-21122-2-2-1-111111111-1-1-1-122220000-2-2-2-200000000000000-1-1-1-1110000110000
χ24222222222-122-1-1-122-1-122-12-1-1-2-2-1-1-1-1-1-1-1-2211-2-21122-2-2-1-111111111-1-1-1-1-2-2-2-200002222000000000000001111-1-10000-1-10000
χ2522222222-12-1-1222-1-122-1-12-12-122-1-1-1-1-1-1-12222-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-1000022220000222200000000-1-1000000-1-1-1-100-1-100
χ2622222222-12-1-1222-1-122-1-12-12-122-1-1-1-1-1-1-12222-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-2-2-200000000110000001111001100
χ2722222222-12-1-1222-1-122-1-12-12-122-1-1-1-1-1-1-1-2-22211-2-211-1-1-2-2-1-1-1-111111111000022-2-2000022-2-200000000-1-1000000-1-111001100
χ2822222222-12-1-1222-1-122-1-12-12-122-1-1-1-1-1-1-1-2-22211-2-211-1-1-2-2-1-1-1-1111111110000-2-2220000-2-222000000001100000011-1-100-1-100
χ2922222222-12-1-1222-1-122-1-12-12-1-2-2-1-1-1-1-1-1-12-2-2-2-1-1221111-2-21111-1-1-1-11111000022-2-20000-2-22200000000-1-1000000111100-1-100
χ3022222222-12-1-1222-1-122-1-12-12-1-2-2-1-1-1-1-1-1-12-2-2-2-1-1221111-2-21111-1-1-1-111110000-2-222000022-2-20000000011000000-1-1-1-1001100
χ3122222222-12-1-1222-1-122-1-12-12-1-2-2-1-1-1-1-1-1-1-22-2-211-2-2-1-1112211111111-1-1-1-1000022220000-2-2-2-200000000-1-100000011-1-1001100
χ3222222222-12-1-1222-1-122-1-12-12-1-2-2-1-1-1-1-1-1-1-22-2-211-2-2-1-1112211111111-1-1-1-10000-2-2-2-2000022220000000011000000-1-11100-1-100
χ33222-22-2-2-2222-22-2-2222-2-2-2-2-222002-2-2-222-200000000000000000000000000002-2000000002i−2i0000002i2i−2i−2i00002-2002i−2i00000000
χ34222-22-2-2-2222-22-2-2222-2-2-2-2-222002-2-2-222-200000000000000000000000000002-200000000−2i2i000000−2i−2i2i2i00002-200−2i2i00000000
χ35222-22-2-2-2222-22-2-2222-2-2-2-2-222002-2-2-222-20000000000000000000000000000-22000000002i−2i000000−2i−2i2i2i0000-22002i−2i00000000
χ36222-22-2-2-2222-22-2-2222-2-2-2-2-222002-2-2-222-20000000000000000000000000000-2200000000−2i2i0000002i2i−2i−2i0000-2200−2i2i00000000
χ3722-22-22-2-2222-222-2-2-2-2-2222-2-2200222-2-2-2-200000000000000000000000000000000002i−2i00002i−2i22-2-200000000000000002i−2i2i−2i00
χ3822-22-22-2-2222-222-2-2-2-2-2222-2-2200222-2-2-2-200000000000000000000000000000000002i−2i0000−2i2i-2-22200000000000000002i−2i−2i2i00
χ3922-22-22-2-2222-222-2-2-2-2-2222-2-2200222-2-2-2-20000000000000000000000000000000000−2i2i00002i−2i-2-2220000000000000000−2i2i2i−2i00
χ4022-22-22-2-2222-222-2-2-2-2-2222-2-2200222-2-2-2-20000000000000000000000000000000000−2i2i0000−2i2i22-2-20000000000000000−2i2i−2i2i00
χ412-222-2-22-222-22-2222-22-22-2-2-2-222i−2i-22-222-2-2002i−2i0000002i−2i002i2i−2i−2i0000000000000000000000002-22-22i−2i2i−2i000000000000000000
χ422-222-2-22-222-22-2222-22-22-2-2-2-222i−2i-22-222-2-2002i−2i0000002i−2i002i2i−2i−2i000000000000000000000000-22-22−2i2i−2i2i000000000000000000
χ432-222-2-22-222-22-2222-22-22-2-2-2-22−2i2i-22-222-2-200−2i2i000000−2i2i00−2i−2i2i2i0000000000000000000000002-22-2−2i2i−2i2i000000000000000000
χ442-222-2-22-222-22-2222-22-22-2-2-2-22−2i2i-22-222-2-200−2i2i000000−2i2i00−2i−2i2i2i000000000000000000000000-22-222i−2i2i−2i000000000000000000
χ452-22-2-22-2222-2-2-2-2-22-222-2222-2200-2-22-22-220000000000000000000000000000002-200002-2000000002-2-222-200002-20000000000
χ462-22-2-22-2222-2-2-2-2-22-222-2222-2200-2-22-22-220000000000000000000000000000002-20000-2200000000-222-22-20000-220000000000
χ472-22-2-22-2222-2-2-2-2-22-222-2222-2200-2-22-22-22000000000000000000000000000000-2200002-200000000-222-2-2200002-20000000000
χ482-22-2-22-2222-2-2-2-2-22-222-2222-2200-2-22-22-22000000000000000000000000000000-220000-22000000002-2-22-220000-220000000000
χ492-2-222-2-2222-2-2-22-2-22-222-2-222200-22-2-2-222000000000000000000000000002-200002-2000000002-2-220000002-20000002-2000000
χ502-2-222-2-2222-2-2-22-2-22-222-2-222200-22-2-2-222000000000000000000000000002-20000-2200000000-222-20000002-2000000-22000000
χ512-2-222-2-2222-2-2-22-2-22-222-2-222200-22-2-2-22200000000000000000000000000-2200002-200000000-222-2000000-220000002-2000000
χ522-2-222-2-2222-2-2-22-2-22-222-2-222200-22-2-2-22200000000000000000000000000-220000-22000000002-2-22000000-22000000-22000000
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
χ5444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21441111111-4-4-2-2222222-2-2221111-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ5544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-411111114-422-2-2-2-2222222-1-1-1-11111-1-1-1-1000000000000000000000000000000000000000000
χ5644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-41111111-44222222-2-222-2-2-1-1-1-1-1-1-1-11111000000000000000000000000000000000000000000
χ57444-44-4-4-44-24-4-22244-22-4-42-4-2-200-2222-2-2200000000000000000000000000004-4000000000000000000000000-22000000000000
χ58444-44-4-4-44-24-4-22244-22-4-42-4-2-200-2222-2-220000000000000000000000000000-440000000000000000000000002-2000000000000
χ59444-44-4-4-4-24-224-4-4-2-24-422-424-200-2222-2-22000000000000000000000000000000000000004i−4i000000000000000000−2i2i00000000
χ60444-44-4-4-4-24-224-4-4-2-24-422-424-200-2222-2-2200000000000000000000000000000000000000−4i4i0000000000000000002i−2i00000000
χ6144-44-44-4-44-24-4-2-22-4-42244-2-42-200-2-2-2222200000000000000000000000000000000004i−4i00000000000000000000000000−2i2i0000
χ6244-44-44-4-44-24-4-2-22-4-42244-2-42-200-2-2-222220000000000000000000000000000000000−4i4i000000000000000000000000002i−2i0000
χ6344-44-44-4-4-24-2244-422-4-4-2-242-4-200-2-2-2222200000000000000000000000000000000000000004i−4i0000000000000000000000−2i2i00
χ6444-44-44-4-4-24-2244-422-4-4-2-242-4-200-2-2-222220000000000000000000000000000000000000000−4i4i00000000000000000000002i−2i00
χ6544-4-4-4-44444444-44-4-4-44-4-4-44-44004-4-44-4-4400000000000000000000000000000000000000000000000000000000000000000000
χ6644-4-4-4-4444-244-22-2-4-42-2-4-4242-200-222-222-200000023−2300000000002323−23−230000000000000000000000000000000000000000000000
χ6744-4-4-4-4444-244-22-2-4-42-2-4-4242-200-222-222-2000000−23230000000000−23−2323230000000000000000000000000000000000000000000000
χ6844-4-4-4-444-24-2-24-4422-4422-4-2-4-200-222-222-20000000023−230000000000002323−23−23000000000000000000000000000000000000000000
χ6944-4-4-4-444-24-2-24-4422-4422-4-2-4-200-222-222-200000000−2323000000000000−23−232323000000000000000000000000000000000000000000
χ7044-4-4-4-444-2-2-2-2-22-2222-2222-221001-1-11-1-1100000023−2323−2300003-33-3−3−333−3−333000000000000000000000000000000000000000000
χ7144-4-4-4-444-2-2-2-2-22-2222-2222-221001-1-11-1-1100000023−23−23230000-33-33−3−33333−3−3000000000000000000000000000000000000000000
χ7244-4-4-4-444-2-2-2-2-22-2222-2222-221001-1-11-1-11000000−232323−230000-33-3333−3−3−3−333000000000000000000000000000000000000000000
χ7344-4-4-4-444-2-2-2-2-22-2222-2222-221001-1-11-1-11000000−2323−232300003-33-333−3−333−3−3000000000000000000000000000000000000000000
χ744-444-4-44-44-2-442-2-24-4-224-42-42-24i−4i2-22-2-22200−2i2i0000004i−4i00−2i−2i2i2i00000000000000000000000000000000000000000000000000
χ754-444-4-44-44-2-442-2-24-4-224-42-42-2−4i4i2-22-2-222002i−2i000000−4i4i002i2i−2i−2i00000000000000000000000000000000000000000000000000
χ764-444-4-44-4-242-2-444-224-4-22-42-4-24i−4i2-22-2-222004i−4i000000−2i2i00−2i−2i2i2i00000000000000000000000000000000000000000000000000
χ774-444-4-44-4-242-2-444-224-4-22-42-4-2−4i4i2-22-2-22200−4i4i0000002i−2i002i2i−2i−2i00000000000000000000000000000000000000000000000000
χ784-444-4-44-4-2-22-22-2-2-22-22-2222214i−4i-11-111-1-100−2i2i000000−2i2i00ii−i−i3-33-33i−3i3i−3i000000000000000000000000000000000000000000
χ794-444-4-44-4-2-22-22-2-2-22-22-2222214i−4i-11-111-1-100−2i2i000000−2i2i00ii−i−i-33-33−3i3i−3i3i000000000000000000000000000000000000000000
χ804-444-4-44-4-2-22-22-2-2-22-22-222221−4i4i-11-111-1-1002i−2i0000002i−2i00−i−iii3-33-3−3i3i−3i3i000000000000000000000000000000000000000000
χ814-444-4-44-4-2-22-22-2-2-22-22-222221−4i4i-11-111-1-1002i−2i0000002i−2i00−i−iii-33-333i−3i3i−3i000000000000000000000000000000000000000000
χ824-44-4-44-444-2-4-42224-4-2-2-44-242-20022-22-22-20000000000000000000000000000000000004-4000000000000000000-220000000000
χ834-44-4-44-444-2-4-42224-4-2-2-44-242-20022-22-22-2000000000000000000000000000000000000-440000000000000000002-20000000000
χ844-44-4-44-44-2422-4-4-4-22442-24-2-4-20022-22-22-20000000000000000000000000000004-4000000000000000000-220000000000000000
χ854-44-4-44-44-2422-4-4-4-22442-24-2-4-20022-22-22-2000000000000000000000000000000-440000000000000000002-20000000000000000
χ864-4-444-4-444-2-4-42-22-442-24-424-2-2002-2222-2-2000000000000000000000000004-4000000000000000000000000-2200000000000000
χ874-4-444-4-444-2-4-42-22-442-24-424-2-2002-2222-2-200000000000000000000000000-440000000000000000000000002-200000000000000
χ884-4-444-4-44-2422-44-42-2-44-22-4-24-2002-2222-2-2000000000000000000000000000000004-400000000000000000000000000-22000000
χ894-4-444-4-44-2422-44-42-2-44-22-4-24-2002-2222-2-200000000000000000000000000000000-44000000000000000000000000002-2000000
χ904-4-4-4444-444-44-4-44-44-4-4-444-44400-4-444-44-400000000000000000000000000000000000000000000000000000000000000000000
χ914-4-4-4444-44-2-4422-2-4422-44-2-4-2-20022-2-22-22000000000000−2i32i300000000−2i32i32i3−2i3000000000000000000000000000000000000000000
χ924-4-4-4444-44-2-4422-2-4422-44-2-4-2-20022-2-22-220000000000002i3−2i3000000002i3−2i3−2i32i3000000000000000000000000000000000000000000
χ934-4-4-4444-4-242-2-4-442-2-4-42-2424-20022-2-22-22000023−2300000000000023−23−23230000000000000000000000000000000000000000000000
χ944-4-4-4444-4-242-2-4-442-2-4-42-2424-20022-2-22-220000−2323000000000000−232323−230000000000000000000000000000000000000000000000
χ954-4-4-4444-4-2-22-222-22-2222-2-22-2100-1-111-11-1000023−23000000−2i32i3−3i3i3i−3i−333−3i3−i3−i3i3000000000000000000000000000000000000000000
χ964-4-4-4444-4-2-22-222-22-2222-2-22-2100-1-111-11-1000023−230000002i3−2i33i−3i−3i3i−333−3−i3i3i3−i3000000000000000000000000000000000000000000
χ974-4-4-4444-4-2-22-222-22-2222-2-22-2100-1-111-11-10000−2323000000−2i32i33i−3i−3i3i3−3−33i3−i3−i3i3000000000000000000000000000000000000000000
χ984-4-4-4444-4-2-22-222-22-2222-2-22-2100-1-111-11-10000−23230000002i3−2i3−3i3i3i−3i3−3−33−i3i3i3−i3000000000000000000000000000000000000000000
χ99888-88-8-8-8-4-4-44-444-4-4-444444-42002-2-2-222-200000000000000000000000000000000000000000000000000000000000000000000
χ10088-88-88-8-8-4-4-44-4-444444-4-4-444200222-2-2-2-200000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-88-88-4-444444-44-4-44-4-4-44200-2-22-22-2200000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-888-8-88-4-4444-444-44-4-444-4-4200-22-2-2-22200000000000000000000000000000000000000000000000000000000000000000000

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