Finite Group Databasebeta

← Group #11811956

Character table — Group #11811956

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size111111112222222222222222444444444488888888888888888888888888121212121212121212121212121212121818181818181818242424242424242424242424242424247272
order122222223366666666666666344666666624666666661212121212121212121212121212121222222222444444442222444466666666121212121212121224
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
χ51111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1
χ61111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111
χ71111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-111
χ81111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111111111-1-1
χ91111111111111111111111111-1-111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-111-1-11111-1-1-1-111-1-111-1-111-1-111-1-1-11
χ101111111111111111111111111-1-111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-1111-1
χ111111111111111111111111111-1-111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-11-1
χ121111111111111111111111111-1-111111111-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-111-1-1111111-1-1-1-1-1-111-1-111-1-111-1-111-11
χ131111111111111111111111111-1-11111111-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1-1-111-1-1111-1
χ141111111111111111111111111-1-11111111-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-111-1-11111-1-1-11
χ151111111111111111111111111-1-11111111-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-11111-1-111-1-1-1-111-1-1-1-11111-1-11111-1-111-1-1-1-111-11
χ161111111111111111111111111-1-11111111-11-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-111-1-11111-1-111-1-11111-1-1-1-1-1-111-1-11111-1-111-1-11-1
χ17222222222-1222-1-1-122-1-122-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000222200002222000000000000-1-1-1-10000-1-1-1-100
χ18222222222-1222-1-1-122-1-122-1-1-122-1-1-1-1-1-1-12222-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000-2-2-2-200000000000011110000111100
χ19222222222-1222-1-1-122-1-122-1-1-122-1-1-1-1-1-1-1-2-2-2-211111122-1-1-2-211-1-1-1-11111000022220000-2-2-2-2000000000000-1-1-1-10000111100
χ20222222222-1222-1-1-122-1-122-1-1-122-1-1-1-1-1-1-1-2-2-2-211111122-1-1-2-211-1-1-1-111110000-2-2-2-20000222200000000000011110000-1-1-1-100
χ21222222222-1222-1-1-122-1-122-1-1-1-2-2-1-1-1-1-1-1-12-222-1-1-1-1-1-1-2-211-2-21111111111000022-2-2000022-2-2000000000000-1-1110000-1-11100
χ22222222222-1222-1-1-122-1-122-1-1-1-2-2-1-1-1-1-1-1-12-222-1-1-1-1-1-1-2-211-2-211111111110000-2-2220000-2-22200000000000011-1-1000011-1-100
χ23222222222-1222-1-1-122-1-122-1-1-1-2-2-1-1-1-1-1-1-1-22-2-2111111-2-21122-1-11111-1-1-1-1000022-2-20000-2-222000000000000-1-111000011-1-100
χ24222222222-1222-1-1-122-1-122-1-1-1-2-2-1-1-1-1-1-1-1-22-2-2111111-2-21122-1-11111-1-1-1-10000-2-222000022-2-200000000000011-1-10000-1-11100
χ2522222222-12-1-1-1222-1-122-1-122-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1222200002222000000000000-1-1-1-10000-1-1-1-1000000
χ2622222222-12-1-1-1222-1-122-1-122-122-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-2-2-2-20000-2-2-2-2000000000000111100001111000000
χ2722222222-12-1-1-1222-1-122-1-122-122-1-1-1-1-1-1-1-2-211-2-21111-1-12211-2-2-1-1-1-1111122220000-2-2-2-2000000000000-1-1-1-100001111000000
χ2822222222-12-1-1-1222-1-122-1-122-122-1-1-1-1-1-1-1-2-211-2-21111-1-12211-2-2-1-1-1-11111-2-2-2-20000222200000000000011110000-1-1-1-1000000
χ2922222222-12-1-1-1222-1-122-1-122-1-2-2-1-1-1-1-1-1-12-2-1-122-1-1-1-111-2-211-2-21111111122-2-2000022-2-2000000000000-1-1110000-1-111000000
χ3022222222-12-1-1-1222-1-122-1-122-1-2-2-1-1-1-1-1-1-12-2-1-122-1-1-1-111-2-211-2-211111111-2-2220000-2-22200000000000011-1-1000011-1-1000000
χ3122222222-12-1-1-1222-1-122-1-122-1-2-2-1-1-1-1-1-1-1-2211-2-2111111-2-2-1-1221111-1-1-1-122-2-20000-2-222000000000000-1-111000011-1-1000000
χ3222222222-12-1-1-1222-1-122-1-122-1-2-2-1-1-1-1-1-1-1-2211-2-2111111-2-2-1-1221111-1-1-1-1-2-222000022-2-200000000000011-1-10000-1-111000000
χ3322-2-2-2-222222-2-22-2-22222-2-2-2-222-22-2-2-2-22200000000002-22-2000022-2-20000000000000000000022-2-222-2-2000000000000000000
χ3422-2-2-2-222222-2-22-2-22222-2-2-2-222-22-2-2-2-22200000000002-22-2000022-2-200000000000000000000-2-222-2-222000000000000000000
χ3522-2-2-2-222222-2-22-2-22222-2-2-2-22-222-2-2-2-2220000000000-22-220000-2-2220000000000000000000022-2-2-2-222000000000000000000
χ3622-2-2-2-222222-2-22-2-22222-2-2-2-22-222-2-2-2-2220000000000-22-220000-2-22200000000000000000000-2-22222-2-2000000000000000000
χ372-222-2-22-222-22-2-22-22-22-22-22-2200-222-2-22-200000000000000000000000000002-22-2000000000000002-22-2002-22-2000000000000
χ382-222-2-22-222-22-2-22-22-22-22-22-2200-222-2-22-200000000000000000000000000002-2-2200000000000000-22-22002-2-22000000000000
χ392-222-2-22-222-22-2-22-22-22-22-22-2200-222-2-22-20000000000000000000000000000-222-200000000000000-22-2200-222-2000000000000
χ402-222-2-22-222-22-2-22-22-22-22-22-2200-222-2-22-20000000000000000000000000000-22-22000000000000002-22-200-22-22000000000000
χ412-22-22-2-2222-22-2-2-22-22-22-222-2200-22-22-2-2200000000000000000000000000000000002-2002-2002-22-20000000000002-2002-20000
χ422-22-22-2-2222-22-2-2-22-22-22-222-2200-22-22-2-2200000000000000000000000000000000002-200-2200-22-220000000000002-200-220000
χ432-22-22-2-2222-22-2-2-22-22-22-222-2200-22-22-2-220000000000000000000000000000000000-22002-200-22-22000000000000-22002-20000
χ442-22-22-2-2222-22-2-2-22-22-22-222-2200-22-22-2-220000000000000000000000000000000000-2200-22002-22-2000000000000-2200-220000
χ452-2-22-22-2222-2-22-22-2-22-222-2-22200-2-22-22-220000000000000000000000000000000000002-2002-22-2-22000000000000002-2002-200
χ462-2-22-22-2222-2-22-22-2-22-222-2-22200-2-22-22-220000000000000000000000000000000000002-200-22-222-2000000000000002-200-2200
χ472-2-22-22-2222-2-22-22-2-22-222-2-22200-2-22-22-22000000000000000000000000000000000000-22002-2-222-200000000000000-22002-200
χ482-2-22-22-2222-2-22-22-2-22-222-2-22200-2-22-22-22000000000000000000000000000000000000-2200-222-2-2200000000000000-2200-2200
χ492-2-2-2222-222-2-22-2-222-22-2-22-22200-2-2-2222-2000000000000000000000000002-200002-20000000000002-2-222-200002-20000000000
χ502-2-2-2222-222-2-22-2-222-22-2-22-22200-2-2-2222-2000000000000000000000000002-20000-22000000000000-222-22-20000-220000000000
χ512-2-2-2222-222-2-22-2-222-22-2-22-22200-2-2-2222-200000000000000000000000000-2200002-2000000000000-222-2-2200002-20000000000
χ522-2-2-2222-222-2-22-2-222-22-2-22-22200-2-2-2222-200000000000000000000000000-220000-220000000000002-2-22-220000-220000000000
χ5344444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2144111111144-2-2-2-21111-2-2-2-2-2-2-2-211111111000000000000000000000000000000000000000000
χ5444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21441111111-4-42222-1-1-1-1-2-2-2-222221111-1-1-1-1000000000000000000000000000000000000000000
χ5544444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-411111114-4-2-2-2-2111122222222-1-1-1-1-1-1-1-1000000000000000000000000000000000000000000
χ5644444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-4-41111111-442222-1-1-1-12222-2-2-2-2-1-1-1-11111000000000000000000000000000000000000000000
χ57444-4-44-4-4444444-4-4-4-4-4-4-4-44440044-4-44-4-400000000000000000000000000000000000000000000000000000000000000000000
χ58444-4-44-4-44-2444-222-4-422-4-4-2-2-200-2-222-2220000−2i32i3−2i3−2i32i32i30000000000000000000000000000000000000000000000000000000000
χ59444-4-44-4-44-2444-222-4-422-4-4-2-2-200-2-222-22200002i3−2i32i32i3−2i3−2i30000000000000000000000000000000000000000000000000000000000
χ60444-4-44-4-4-24-2-2-24-4-422-4-42244-200-2-222-2220000000000000023−230000002323−23−23000000000000000000000000000000000000000000
χ61444-4-44-4-4-24-2-2-24-4-422-4-42244-200-2-222-22200000000000000−2323000000−23−232323000000000000000000000000000000000000000000
χ62444-4-44-4-4-2-2-2-2-2-222222222-2-210011-1-11-1-10000−2i32i3i3i3−i3−i3000023−23003i−3i3i−3i−3−333000000000000000000000000000000000000000000
χ63444-4-44-4-4-2-2-2-2-2-222222222-2-210011-1-11-1-10000−2i32i3i3i3−i3−i30000−232300−3i3i−3i3i33−3−3000000000000000000000000000000000000000000
χ64444-4-44-4-4-2-2-2-2-2-222222222-2-210011-1-11-1-100002i3−2i3−i3−i3i3i3000023−2300−3i3i−3i3i−3−333000000000000000000000000000000000000000000
χ65444-4-44-4-4-2-2-2-2-2-222222222-2-210011-1-11-1-100002i3−2i3−i3−i3i3i30000−2323003i−3i3i−3i33−3−3000000000000000000000000000000000000000000
χ6644-444-4-4-4444-4-4444-4-4-4-444-4-44004-444-4-4-400000000000000000000000000000000000000000000000000000000000000000000
χ6744-444-4-4-44-24-4-4-2-2-2-4-4224422-200-22-2-2222000000000000000023−23000023−2323−23000000000000000000000000000000000000000000
χ6844-444-4-4-44-24-4-4-2-2-2-4-4224422-200-22-2-22220000000000000000−23230000−2323−2323000000000000000000000000000000000000000000
χ6944-444-4-4-4-24-22244422-4-4-2-2-4-4-200-22-2-222200−2i32i300−2i32i3−2i32i30000000000000000000000000000000000000000000000000000000000
χ7044-444-4-4-4-24-22244422-4-4-2-2-4-4-200-22-2-2222002i3−2i3002i3−2i32i3−2i30000000000000000000000000000000000000000000000000000000000
χ7144-444-4-4-4-2-2-222-2-2-22222-2-2221001-111-1-1-100−2i32i300i3−i3i3−i300000023−233i−3i−3i3i−33−33000000000000000000000000000000000000000000
χ7244-444-4-4-4-2-2-222-2-2-22222-2-2221001-111-1-1-100−2i32i300i3−i3i3−i3000000−2323−3i3i3i−3i3−33−3000000000000000000000000000000000000000000
χ7344-444-4-4-4-2-2-222-2-2-22222-2-2221001-111-1-1-1002i3−2i300−i3i3−i3i300000023−23−3i3i3i−3i−33−33000000000000000000000000000000000000000000
χ7444-444-4-4-4-2-2-222-2-2-22222-2-2221001-111-1-1-1002i3−2i300−i3i3−i3i3000000−23233i−3i−3i3i3−33−3000000000000000000000000000000000000000000
χ7544-4-4-4-4444-24-4-4-22244-2-2-4-422-24-4-22222-2-200000000004-4-220000-2-2220000000000000000000000000000000000000000000000
χ7644-4-4-4-4444-24-4-4-22244-2-2-4-422-2-44-22222-2-20000000000-442-2000022-2-20000000000000000000000000000000000000000000000
χ7744-4-4-4-444-24-2224-4-4-2-24422-4-4-24-4-22222-2-20000000000-224-40000-2-2220000000000000000000000000000000000000000000000
χ7844-4-4-4-444-24-2224-4-4-2-24422-4-4-2-44-22222-2-200000000002-2-44000022-2-20000000000000000000000000000000000000000000000
χ7944-4-4-4-444-2-2-222-222-2-2-2-2222214-41-1-1-1-1110000003-3-33-22-22000011-1-13-3-33000000000000000000000000000000000000000000
χ8044-4-4-4-444-2-2-222-222-2-2-2-2222214-41-1-1-1-111000000-333-3-22-22000011-1-1-333-3000000000000000000000000000000000000000000
χ8144-4-4-4-444-2-2-222-222-2-2-2-222221-441-1-1-1-1110000003-3-332-22-20000-1-111-333-3000000000000000000000000000000000000000000
χ8244-4-4-4-444-2-2-222-222-2-2-2-222221-441-1-1-1-111000000-333-32-22-20000-1-1113-3-33000000000000000000000000000000000000000000
χ834-444-4-44-44-2-44-42-224-4-224-4-22-2002-2-222-220000000000000000000000000000004-40000000000000000000000-22000000000000
χ844-444-4-44-44-2-44-42-224-4-224-4-22-2002-2-222-22000000000000000000000000000000-4400000000000000000000002-2000000000000
χ854-444-4-44-4-242-22-44-4-224-4-224-4-2002-2-222-2200000000000000000000000000004-40000000000000000000000-2200000000000000
χ864-444-4-44-4-242-22-44-4-224-4-224-4-2002-2-222-220000000000000000000000000000-4400000000000000000000002-200000000000000
χ874-44-44-4-444-2-44-422-2-442-2-44-22-2002-22-222-2000000000000000000000000000000000000004-40000000000000000000000-220000
χ884-44-44-4-444-2-44-422-2-442-2-44-22-2002-22-222-200000000000000000000000000000000000000-4400000000000000000000002-20000
χ894-44-44-4-44-242-22-4-442-2-442-24-4-2002-22-222-200000000000000000000000000000000004-40000000000000000000000-2200000000
χ904-44-44-4-44-242-22-4-442-2-442-24-4-2002-22-222-20000000000000000000000000000000000-4400000000000000000000002-200000000
χ914-4-44-44-444-2-4-442-22-442-24-42-2-20022-22-22-200000000000000000000000000000000000000004-40000000000000000000000-2200
χ924-4-44-44-444-2-4-442-22-442-24-42-2-20022-22-22-20000000000000000000000000000000000000000-4400000000000000000000002-200
χ934-4-44-44-44-2422-2-44-42-2-44-22-44-20022-22-22-20000000000000000000000000000000000004-40000000000000000000000-22000000
χ944-4-44-44-44-2422-2-44-42-2-44-22-44-20022-22-22-2000000000000000000000000000000000000-4400000000000000000000002-2000000
χ954-4-4-4444-44-2-4-4422-24-4-22-442-2-200222-2-2-22000000000000000000000000000000004-40000000000000000000000-220000000000
χ964-4-4-4444-44-2-4-4422-24-4-22-442-2-200222-2-2-2200000000000000000000000000000000-4400000000000000000000002-20000000000
χ974-4-4-4444-4-2422-2-4-44-224-42-2-44-200222-2-2-22000000000000000000000000004-40000000000000000000000-220000000000000000
χ984-4-4-4444-4-2422-2-4-44-224-42-2-44-200222-2-2-2200000000000000000000000000-4400000000000000000000002-20000000000000000
χ998-888-8-88-8-4-44-444-44-44-44-44-44200-222-2-22-200000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-88-8-88-4-44-4444-44-44-44-4-44200-22-22-2-2200000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-88-88-4-444-44-444-44-4-444-4200-2-22-22-2200000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-8-8888-8-4-444-444-4-44-444-44-4200-2-2-2222-200000000000000000000000000000000000000000000000000000000000000000000

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