Finite Group Databasebeta

← Group #11808997

Character table — Group #11808997

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222444444444488888888888888888888888888121212121212121212121212121212121818181818181818242424242424242424242424242424247272
order122222223366666666666666223666666644666666661212121212121212121212121212121222222222444444442222222266666666121212121212121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1
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
χ51111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111111111-1-111-1-111-1-111-1-1-1-1
χ61111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-11111
χ71111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111
χ81111111111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-11111111111-1-111-1-111-1-111-1-111-1-1
χ9111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1111-1
χ10111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-1-11
χ11111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-111-11
χ12111111111111111111111111-1-1111111111-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-111111111-1-11-1
χ13111111111111111111111111-1-111111111-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-11111-1-111-1-1-1-11111-1-1-1-111-1-11111-1-111-1-1-1-1-11
χ14111111111111111111111111-1-111111111-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-11111111-1
χ15111111111111111111111111-1-111111111-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-11-1
χ16111111111111111111111111-1-111111111-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-111-1-111111111-1-1-1-1-1-111-1-1-1-111-1-11111-11
χ17222222222-1222-1-1-122-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000222200002222000000000000-1-1-1-10000-1-1-1-100
χ18222222222-1222-1-1-122-1-122-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-2-2-200000000000011110000111100
χ19222222222-1222-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-2-222-1-1-1-1-1-1-2-211-2-21111111111000022-2-2000022-2-2000000000000-1-1110000-1-11100
χ20222222222-1222-1-1-122-1-122-1-122-1-1-1-1-1-1-1-1-2-222-1-1-1-1-1-1-2-211-2-211111111110000-2-2220000-2-22200000000000011-1-1000011-1-100
χ21222222222-1222-1-1-122-1-122-1-1-2-2-1-1-1-1-1-1-1-12-2-2-211111122-1-1-2-211-1-1-1-11111000022-2-20000-2-222000000000000-1-111000011-1-100
χ22222222222-1222-1-1-122-1-122-1-1-2-2-1-1-1-1-1-1-1-12-2-2-211111122-1-1-2-211-1-1-1-111110000-2-222000022-2-200000000000011-1-10000-1-11100
χ23222222222-1222-1-1-122-1-122-1-1-2-2-1-1-1-1-1-1-1-1-22-2-2111111-2-21122-1-11111-1-1-1-1000022220000-2-2-2-2000000000000-1-1-1-10000111100
χ24222222222-1222-1-1-122-1-122-1-1-2-2-1-1-1-1-1-1-1-1-22-2-2111111-2-21122-1-11111-1-1-1-10000-2-2-2-20000222200000000000011110000-1-1-1-100
χ2522222222-12-1-1-1222-1-122-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1222200002222000000000000-1-1-1-10000-1-1-1-1000000
χ2622222222-12-1-1-1222-1-122-1-12222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2000000000000111100001111000000
χ2722222222-12-1-1-1222-1-122-1-12222-1-1-1-1-1-1-1-1-2-2-1-122-1-1-1-111-2-211-2-21111111122-2-2000022-2-2000000000000-1-1110000-1-111000000
χ2822222222-12-1-1-1222-1-122-1-12222-1-1-1-1-1-1-1-1-2-2-1-122-1-1-1-111-2-211-2-211111111-2-2220000-2-22200000000000011-1-1000011-1-1000000
χ2922222222-12-1-1-1222-1-122-1-122-2-2-1-1-1-1-1-1-1-12-211-2-21111-1-12211-2-2-1-1-1-1111122220000-2-2-2-2000000000000-1-1-1-100001111000000
χ3022222222-12-1-1-1222-1-122-1-122-2-2-1-1-1-1-1-1-1-12-211-2-21111-1-12211-2-2-1-1-1-11111-2-2-2-20000222200000000000011110000-1-1-1-1000000
χ3122222222-12-1-1-1222-1-122-1-122-2-2-1-1-1-1-1-1-1-1-2211-2-2111111-2-2-1-1221111-1-1-1-122-2-20000-2-222000000000000-1-111000011-1-1000000
χ3222222222-12-1-1-1222-1-122-1-122-2-2-1-1-1-1-1-1-1-1-2211-2-2111111-2-2-1-1221111-1-1-1-1-2-222000022-2-200000000000011-1-10000-1-111000000
χ3322-2-222-2-2222-2-22-2-2-2-2-2-222222-22222-2-2-2-2002-22-222-2-20000000000000000000000000000000022-2-222-2-2000000000000000000
χ3422-2-222-2-2222-2-22-2-2-2-2-2-222222-22222-2-2-2-2002-22-222-2-200000000000000000000000000000000-2-222-2-222000000000000000000
χ3522-2-222-2-2222-2-22-2-2-2-2-2-22222-222222-2-2-2-200-22-22-2-2220000000000000000000000000000000022-2-2-2-222000000000000000000
χ3622-2-222-2-2222-2-22-2-2-2-2-2-22222-222222-2-2-2-200-22-22-2-22200000000000000000000000000000000-2-22222-2-2000000000000000000
χ372-22-22-22-222-22-2-22-22-22-22-22-20022-2-22-22-200000000000000000000000000002-200000000002-22-22-20000002-200000000002-200
χ382-22-22-22-222-22-2-22-22-22-22-22-20022-2-22-22-200000000000000000000000000002-20000000000-22-22-220000002-20000000000-2200
χ392-22-22-22-222-22-2-22-22-22-22-22-20022-2-22-22-20000000000000000000000000000-2200000000002-2-22-22000000-2200000000002-200
χ402-22-22-22-222-22-2-22-22-22-22-22-20022-2-22-22-20000000000000000000000000000-220000000000-222-22-2000000-220000000000-2200
χ412-22-2-22-2222-2-22-2-222-22-2-22-22002-22-2-222-2000000000000000000000000002-200000000002-20000002-22-22-200000000002-20000
χ422-22-2-22-2222-2-22-2-222-22-2-22-22002-22-2-222-2000000000000000000000000002-20000000000-22000000-22-222-20000000000-220000
χ432-22-2-22-2222-2-22-2-222-22-2-22-22002-22-2-222-200000000000000000000000000-2200000000002-2000000-22-22-2200000000002-20000
χ442-22-2-22-2222-2-22-2-222-22-2-22-22002-22-2-222-200000000000000000000000000-220000000000-220000002-22-2-220000000000-220000
χ452-2-222-2-2222-2-22-2-22-22-222-22-20022-2-2-22-22000000000000000000000000000000002-2002-200002-2-2200000000002-2002-2000000
χ462-2-222-2-2222-2-22-2-22-22-222-22-20022-2-2-22-22000000000000000000000000000000002-200-220000-222-200000000002-200-22000000
χ472-2-222-2-2222-2-22-2-22-22-222-22-20022-2-2-22-2200000000000000000000000000000000-22002-20000-222-20000000000-22002-2000000
χ482-2-222-2-2222-2-22-2-22-22-222-22-20022-2-2-22-2200000000000000000000000000000000-2200-2200002-2-220000000000-2200-22000000
χ492-2-22-222-222-22-2-22-2-22-22-22-22002-22-22-2-220000000000000000000000000000002-2002-200000000002-2-2200002-2002-200000000
χ502-2-22-222-222-22-2-22-2-22-22-22-22002-22-22-2-220000000000000000000000000000002-200-220000000000-222-200002-200-2200000000
χ512-2-22-222-222-22-2-22-2-22-22-22-22002-22-22-2-22000000000000000000000000000000-22002-20000000000-222-20000-22002-200000000
χ522-2-22-222-222-22-2-22-2-22-22-22-22002-22-22-2-22000000000000000000000000000000-2200-2200000000002-2-220000-2200-2200000000
χ5344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2441111111144-2-2-2-21111-2-2-2-2-2-2-2-211111111000000000000000000000000000000000000000000
χ5444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-24411111111-4-4-2-2-2-2111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ5544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-4111111114-42222-1-1-1-1-2-2-2-222221111-1-1-1-1000000000000000000000000000000000000000000
χ5644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-4-411111111-442222-1-1-1-12222-2-2-2-2-1-1-1-11111000000000000000000000000000000000000000000
χ574444-4-4-4-4444-4-44-4-44444-4-4-4-4004-4-44-4-44400000000000000000000000000000000000000000000000000000000000000000000
χ584444-4-4-4-44-24-4-4-22244-2-2-4-42200-222-222-2-20000000000000000−2i32i30000−2i3−2i32i32i3000000000000000000000000000000000000000000
χ594444-4-4-4-44-24-4-4-22244-2-2-4-42200-222-222-2-200000000000000002i3−2i300002i32i3−2i3−2i3000000000000000000000000000000000000000000
χ604444-4-4-4-4-24-2224-4-4-2-24422-4-400-222-222-2-20000000000−2i32i3000000−2i3−2i32i32i30000000000000000000000000000000000000000000000
χ614444-4-4-4-4-24-2224-4-4-2-24422-4-400-222-222-2-200000000002i3−2i30000002i32i3−2i3−2i30000000000000000000000000000000000000000000000
χ624444-4-4-4-4-2-2-222-222-2-2-2-22222001-1-11-1-1110000003-33-3−2i32i30000−2i32i3i3i3−i3−i3i3i3−i3−i3000000000000000000000000000000000000000000
χ634444-4-4-4-4-2-2-222-222-2-2-2-22222001-1-11-1-1110000003-33-32i3−2i300002i3−2i3−i3−i3i3i3−i3−i3i3i3000000000000000000000000000000000000000000
χ644444-4-4-4-4-2-2-222-222-2-2-2-22222001-1-11-1-111000000-33-33−2i32i300002i3−2i3i3i3−i3−i3−i3−i3i3i3000000000000000000000000000000000000000000
χ654444-4-4-4-4-2-2-222-222-2-2-2-22222001-1-11-1-111000000-33-332i3−2i30000−2i32i3−i3−i3i3i3i3i3−i3−i3000000000000000000000000000000000000000000
χ6644-4-444-4-44-24-4-4-222-4-42244-2-24-4-2-2-2-22222004-4-22-2-2220000000000000000000000000000000000000000000000000000000000
χ6744-4-444-4-44-24-4-4-222-4-42244-2-2-44-2-2-2-2222200-442-222-2-20000000000000000000000000000000000000000000000000000000000
χ6844-4-444-4-4-24-2224-4-422-4-4-2-2444-4-2-2-2-2222200-224-4-2-2220000000000000000000000000000000000000000000000000000000000
χ6944-4-444-4-4-24-2224-4-422-4-4-2-244-44-2-2-2-22222002-2-4422-2-20000000000000000000000000000000000000000000000000000000000
χ7044-4-444-4-4-2-2-222-2222222-2-2-2-24-41111-1-1-1-100-22-2211-1-1000000003i−3i3i−3i3i−3i3i−3i000000000000000000000000000000000000000000
χ7144-4-444-4-4-2-2-222-2222222-2-2-2-24-41111-1-1-1-100-22-2211-1-100000000−3i3i−3i3i−3i3i−3i3i000000000000000000000000000000000000000000
χ7244-4-444-4-4-2-2-222-2222222-2-2-2-2-441111-1-1-1-1002-22-2-1-111000000003i−3i3i−3i−3i3i−3i3i000000000000000000000000000000000000000000
χ7344-4-444-4-4-2-2-222-2222222-2-2-2-2-441111-1-1-1-1002-22-2-1-11100000000−3i3i−3i3i3i−3i3i−3i000000000000000000000000000000000000000000
χ7444-4-4-4-44444444444-4-4-4-4-4-4-4-4004-4-4444-4-400000000000000000000000000000000000000000000000000000000000000000000
χ7544-4-4-4-4444-2444-2-2-2-4-422-4-42200-222-2-2-22200000000000023−23000023−23−23230000000000000000000000000000000000000000000000
χ7644-4-4-4-4444-2444-2-2-2-4-422-4-42200-222-2-2-222000000000000−23230000−232323−230000000000000000000000000000000000000000000000
χ7744-4-4-4-444-24-2-2-244422-4-422-4-400-222-2-2-2220000000000000023−2300000023−23−2323000000000000000000000000000000000000000000
χ7844-4-4-4-444-24-2-2-244422-4-422-4-400-222-2-2-22200000000000000−2323000000−232323−23000000000000000000000000000000000000000000
χ7944-4-4-4-444-2-2-2-2-2-2-2-222222222001-1-1111-1-10000003-3-330023−2323−2300−333−3−333−3000000000000000000000000000000000000000000
χ8044-4-4-4-444-2-2-2-2-2-2-2-222222222001-1-1111-1-10000003-3-3300−2323−2323003−3−333−3−33000000000000000000000000000000000000000000
χ8144-4-4-4-444-2-2-2-2-2-2-2-222222222001-1-1111-1-1000000-333-30023−23−232300−333−33−3−33000000000000000000000000000000000000000000
χ8244-4-4-4-444-2-2-2-2-2-2-2-222222222001-1-1111-1-1000000-333-300−232323−23003−3−33−333−3000000000000000000000000000000000000000000
χ834-44-44-44-44-2-44-42-224-4-224-4-2200-2-222-22-2200000000000000000000000000000000000000004-40000000000000000000000-2200
χ844-44-44-44-44-2-44-42-224-4-224-4-2200-2-222-22-220000000000000000000000000000000000000000-4400000000000000000000002-200
χ854-44-44-44-4-242-22-44-4-224-4-224-400-2-222-22-2200000000000000000000000000004-40000000000000000000000-2200000000000000
χ864-44-44-44-4-242-22-44-4-224-4-224-400-2-222-22-220000000000000000000000000000-4400000000000000000000002-200000000000000
χ874-44-4-44-444-2-4-4422-24-4-22-442-200-22-222-2-22000000000000000000000000000000000000004-40000000000000000000000-220000
χ884-44-4-44-444-2-4-4422-24-4-22-442-200-22-222-2-2200000000000000000000000000000000000000-4400000000000000000000002-20000
χ894-44-4-44-44-2422-2-4-44-224-42-2-4400-22-222-2-22000000000000000000000000004-40000000000000000000000-220000000000000000
χ904-44-4-44-44-2422-2-4-44-224-42-2-4400-22-222-2-2200000000000000000000000000-4400000000000000000000002-20000000000000000
χ914-4-444-4-444-2-4-4422-2-442-24-4-2200-2-2222-22-2000000000000000000000000000000004-40000000000000000000000-220000000000
χ924-4-444-4-444-2-4-4422-2-442-24-4-2200-2-2222-22-200000000000000000000000000000000-4400000000000000000000002-20000000000
χ934-4-444-4-44-2422-2-4-442-2-44-224-400-2-2222-22-20000000000000000000000000000000000004-40000000000000000000000-22000000
χ944-4-444-4-44-2422-2-4-442-2-44-224-400-2-2222-22-2000000000000000000000000000000000000-4400000000000000000000002-2000000
χ954-4-44-444-44-2-44-42-22-442-2-442-200-22-22-222-20000000000000000000000000000004-40000000000000000000000-22000000000000
χ964-4-44-444-44-2-44-42-22-442-2-442-200-22-22-222-2000000000000000000000000000000-4400000000000000000000002-2000000000000
χ974-4-44-444-4-242-22-44-42-2-442-2-4400-22-22-222-200000000000000000000000000000000004-40000000000000000000000-2200000000
χ984-4-44-444-4-242-22-44-42-2-442-2-4400-22-22-222-20000000000000000000000000000000000-4400000000000000000000002-200000000
χ998-88-88-88-8-4-44-444-44-44-44-44-440022-2-22-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8-88-88-4-444-444-4-44-444-44-4002-22-2-222-200000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-888-8-88-4-444-444-44-44-4-44-440022-2-2-22-2200000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-888-8-4-44-444-444-44-44-44-4002-22-22-2-2200000000000000000000000000000000000000000000000000000000000000000000

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