Finite Group Databasebeta

← Group #11867875

Character table — Group #11867875

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size112222222224444444446688888888888121212121212122424242424242424363672112222222224444444446688888888888121212121212122424242424242424363672
order122334466663666612121212882666666661212248242424244681212122424888222664466666666612121212882666666661212248242424244681212122424888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1111111-1-1-111-1-1-1-1-1111111111111111111111111111111111-1-1111111-1-1-111-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-1-1111111111-11-11-1-1-1-111-11111111111111111111111-1-1-1-1-1-1-1-1-1111111111-11-11-1-1-1-111-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-111-1-111111-1-11-1-1-111-1-111111111111111111111111-1-1-1-1-1-1-1-1-111-1-111111-1-11-1-1-111-1-11
χ511111111111111111111-1-11111111111111-1-1-1-1-1-1111-1-111-1-1-111111111111111111111-1-11111111111111-1-1-1-1-1-1111-1-111-1-1-1
χ611111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1111-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1111-1-1-1-11
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-11-1111111-111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-11-1111111-1
χ922222-2-2222222222-2-2-2-200000000000-2-20000000000000002i−2i022222-2-2222222222-2-2-2-200000000000-2-20000000000000002i−2i0
χ1022222-2-2222222222-2-2-2-200000000000-2-2000000000000000−2i2i022222-2-2222222222-2-2-2-200000000000-2-2000000000000000−2i2i0
χ112222-12222-12-1-1-1-1-1-12-1200222-1-1-1-1-1-1-1-122000000-12-100-1-10002222-12222-12-1-1-1-1-1-12-1200222-1-1-1-1-1-1-1-122000000-12-100-1-1000
χ122222-12222-12-1-1-1-1-1-12-1200222-1-1-1-1-1-1-1-1-2-20000001-2100110002222-12222-12-1-1-1-1-1-12-1200222-1-1-1-1-1-1-1-1-2-20000001-210011000
χ132222-12222-12-1-1-1-1-1-12-1200-2-2-2111111-1-122000000-1-2-100110002222-12222-12-1-1-1-1-1-12-1200-2-2-2111111-1-122000000-1-2-10011000
χ142222-12222-12-1-1-1-1-1-12-1200-2-2-2111111-1-1-2-200000012100-1-10002222-12222-12-1-1-1-1-1-12-1200-2-2-2111111-1-1-2-200000012100-1-1000
χ15222-1222-1-12-1-12-1-1-12-12-1222-1-122-1-1-1-1-1-1002-1-1-1-12000-1-100000222-1222-1-12-1-12-1-1-12-12-1222-1-122-1-1-1-1-1-1002-1-1-1-12000-1-100000
χ16222-1222-1-12-1-12-1-1-12-12-122-211-2-21111-1-1002-1-1-1-1-20001100000222-1222-1-12-1-12-1-1-12-12-122-211-2-21111-1-1002-1-1-1-1-20001100000
χ17222-1222-1-12-1-12-1-1-12-12-1-2-22-1-122-1-1-1-1-1-100-21111-20001100000222-1222-1-12-1-12-1-1-12-12-1-2-22-1-122-1-1-1-1-1-100-21111-20001100000
χ18222-1222-1-12-1-12-1-1-12-12-1-2-2-211-2-21111-1-100-211112000-1-100000222-1222-1-12-1-12-1-1-12-12-1-2-2-211-2-21111-1-100-211112000-1-100000
χ1922-2222-2-2-2222-2-2-222-2-22220000000002-200-222-2-20000000000022-2222-2-2-2222-2-2-222-2-22220000000002-200-222-2-200000000000
χ2022-2222-2-2-2222-2-2-222-2-22-2-20000000002-2002-2-2220000000000022-2222-2-2-2222-2-2-222-2-22-2-20000000002-2002-2-22200000000000
χ2122-222-22-2-2222-2-2-22-222-200000000000-222-200000020-2000000022-222-22-2-2222-2-2-22-222-200000000000-222-200000020-20000000
χ2222-222-22-2-2222-2-2-22-222-200000000000-22-22000000-202000000022-222-22-2-2222-2-2-22-222-200000000000-22-22000000-2020000000
χ2322-22-1-22-2-2-12-1111-112-1-200000−i3i3−i3−i3i3i31-12-2000000-10100−i3i300022-22-1-22-2-2-12-1111-112-1-200000−i3i3−i3−i3i3i31-12-2000000-10100−i3i3000
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χ2622-22-1-22-2-2-12-1111-112-1-200000i3−i3i3i3−i3−i31-1-2200000010-100−i3i300022-22-1-22-2-2-12-1111-112-1-200000i3−i3i3i3−i3−i31-1-2200000010-100−i3i3000
χ2722-2-122-2112-1-1-211-121-2-1220−i3i300−i3i3−i3i3-1100-2-1-1110000−i3i30000022-2-122-2112-1-1-211-121-2-1220−i3i300−i3i3−i3i3-1100-2-1-1110000−i3i300000
χ2822-2-122-2112-1-1-211-121-2-1220i3−i300i3−i3i3−i3-1100-2-1-1110000i3−i30000022-2-122-2112-1-1-211-121-2-1220i3−i300i3−i3i3−i3-1100-2-1-1110000i3−i300000
χ2922-2-122-2112-1-1-211-121-2-1-2-20−i3i300−i3i3−i3i3-1100211-1-10000i3−i30000022-2-122-2112-1-1-211-121-2-1-2-20−i3i300−i3i3−i3i3-1100211-1-10000i3−i300000
χ3022-2-122-2112-1-1-211-121-2-1-2-20i3−i300i3−i3i3−i3-1100211-1-10000−i3i30000022-2-122-2112-1-1-211-121-2-1-2-20i3−i300i3−i3i3−i3-1100211-1-10000−i3i300000
χ314444-2-4-444-24-2-2-2-2-22-42-400000000000220000000000000000004444-2-4-444-24-2-2-2-2-22-42-40000000000022000000000000000000
χ32444-24-4-4-2-24-2-24-2-2-2-42-420000000000022000000000000000000444-24-4-4-2-24-2-24-2-2-2-42-420000000000022000000000000000000
χ33444-2-244-2-2-2-21-2111-2-2-2-2004-2-2-2-2111111000000000000000000444-2-244-2-2-2-21-2111-2-2-2-2004-2-2-2-2111111000000000000000000
χ34444-2-244-2-2-2-21-2111-2-2-2-200-42222-1-1-1-111000000000000000000444-2-244-2-2-2-21-2111-2-2-2-200-42222-1-1-1-111000000000000000000
χ35444-2-2-4-4-2-2-2-21-2111222200000003-3-33-1-1000000000000000000444-2-2-4-4-2-2-2-21-2111222200000003-3-33-1-1000000000000000000
χ36444-2-2-4-4-2-2-2-21-211122220000000-333-3-1-1000000000000000000444-2-2-4-4-2-2-2-21-211122220000000-333-3-1-1000000000000000000
χ3744-44-24-4-4-4-24-2222-2-2-42400000000000-2200000000000000000044-44-24-4-4-4-24-2222-2-2-42400000000000-22000000000000000000
χ3844-4-24-44224-2-2-422-2-4-242000000000002-200000000000000000044-4-24-44224-2-2-422-2-4-242000000000002-2000000000000000000
χ3944-4-2-24-422-2-212-1-11-222-2000−2i32i300i3−i3i3−i31-100000000000000000044-4-2-24-422-2-212-1-11-222-2000−2i32i300i3−i3i3−i31-1000000000000000000
χ4044-4-2-24-422-2-212-1-11-222-20002i3−2i300−i3i3−i3i31-100000000000000000044-4-2-24-422-2-212-1-11-222-20002i3−2i300−i3i3−i3i31-1000000000000000000
χ4144-4-2-2-4422-2-212-1-112-2-2200000−2i32i3i3i3−i3−i3-1100000000000000000044-4-2-2-4422-2-212-1-112-2-2200000−2i32i3i3i3−i3−i3-11000000000000000000
χ4244-4-2-2-4422-2-212-1-112-2-22000002i3−2i3−i3−i3i3i3-1100000000000000000044-4-2-2-4422-2-212-1-112-2-22000002i3−2i3−i3−i3i3i3-11000000000000000000
χ434-40440000-4-44000-40000−2i22i200000000000000−2i22i200000000000004-40440000-4-44000-40000−2i22i200000000000000−2i22i20000000000000
χ444-40440000-4-44000-400002i2−2i2000000000000002i2−2i200000000000004-40440000-4-44000-400002i2−2i2000000000000002i2−2i20000000000000
χ454-40-2400−2i32i3-42-20−2i32i320000−2i22i200000000000000i2−i26−6000000000004-40-2400−2i32i3-42-20−2i32i320000−2i22i200000000000000i2−i26−600000000000
χ464-40-2400−2i32i3-42-20−2i32i3200002i2−2i200000000000000−i2i2−66000000000004-40-2400−2i32i3-42-20−2i32i3200002i2−2i200000000000000−i2i2−6600000000000
χ474-40-24002i3−2i3-42-202i3−2i320000−2i22i200000000000000i2−i2−66000000000004-40-24002i3−2i3-42-202i3−2i320000−2i22i200000000000000i2−i2−6600000000000
χ484-40-24002i3−2i3-42-202i3−2i3200002i2−2i200000000000000−i2i26−6000000000004-40-24002i3−2i3-42-202i3−2i3200002i2−2i200000000000000−i2i26−600000000000
χ498-808-400004-8-40004000000000000000000000000000000000008-808-400004-8-4000400000000000000000000000000000000000
χ508-80-4-400−4i34i344202i3−2i3-2000000000000000000000000000000000008-80-4-400−4i34i344202i3−2i3-200000000000000000000000000000000000
χ518-80-4-4004i3−4i34420−2i32i3-2000000000000000000000000000000000008-80-4-4004i3−4i34420−2i32i3-200000000000000000000000000000000000
χ52111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ53111111111111111111111111111111111-1-1111111-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1111-1-111111
χ541111111111111111111111-1-1-1-1-1-1-1-1-1111111111-11-11-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-11-11111-1-11
χ551111111111111111111111-1-1-1-1-1-1-1-1-111-1-111111-1-11-1-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-111-1111-1-111-1
χ5611111111111111111111-1-11111111111111-1-1-1-1-1-1111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-111-1-1111
χ5711111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1
χ5811111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-111-1111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111111-1-11-1-1-11111-1
χ5911111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-11-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11111111-11-11-1-1-1-1-1-11
χ6022222-2-2222222222-2-2-2-200000000000-2-20000000000000002i−2i0-2-2-2-2-222-2-2-2-2-2-2-2-2-222220000000000022000000000000000−2i2i0
χ6122222-2-2222222222-2-2-2-200000000000-2-2000000000000000−2i2i0-2-2-2-2-222-2-2-2-2-2-2-2-2-2222200000000000220000000000000002i−2i0
χ622222-12222-12-1-1-1-1-1-12-1200222-1-1-1-1-1-1-1-122000000-12-100-1-1000-2-2-2-21-2-2-2-21-2111111-21-200-2-2-211111111-2-20000001-210011000
χ632222-12222-12-1-1-1-1-1-12-1200222-1-1-1-1-1-1-1-1-2-20000001-210011000-2-2-2-21-2-2-2-21-2111111-21-200-2-2-21111111122000000-12-100-1-1000
χ642222-12222-12-1-1-1-1-1-12-1200-2-2-2111111-1-122000000-1-2-10011000-2-2-2-21-2-2-2-21-2111111-21-200222-1-1-1-1-1-111-2-200000012100-1-1000
χ652222-12222-12-1-1-1-1-1-12-1200-2-2-2111111-1-1-2-200000012100-1-1000-2-2-2-21-2-2-2-21-2111111-21-200222-1-1-1-1-1-11122000000-1-2-10011000
χ66222-1222-1-12-1-12-1-1-12-12-1222-1-122-1-1-1-1-1-1002-1-1-1-12000-1-100000-2-2-21-2-2-211-211-2111-21-21-2-2-211-2-211111100-21111-20001100000
χ67222-1222-1-12-1-12-1-1-12-12-122-211-2-21111-1-1002-1-1-1-1-20001100000-2-2-21-2-2-211-211-2111-21-21-2-22-1-122-1-1-1-11100-211112000-1-100000
χ68222-1222-1-12-1-12-1-1-12-12-1-2-22-1-122-1-1-1-1-1-100-21111-20001100000-2-2-21-2-2-211-211-2111-21-2122-211-2-2111111002-1-1-1-12000-1-100000
χ69222-1222-1-12-1-12-1-1-12-12-1-2-2-211-2-21111-1-100-211112000-1-100000-2-2-21-2-2-211-211-2111-21-21222-1-122-1-1-1-111002-1-1-1-1-20001100000
χ7022-2222-2-2-2222-2-2-222-2-22220000000002-200-222-2-200000000000-2-22-2-2-2222-2-2-2222-2-222-2-2-2000000000-22002-2-22200000000000
χ7122-2222-2-2-2222-2-2-222-2-22-2-20000000002-2002-2-22200000000000-2-22-2-2-2222-2-2-2222-2-222-222000000000-2200-222-2-200000000000
χ7222-222-22-2-2222-2-2-22-222-200000000000-222-200000020-20000000-2-22-2-22-222-2-2-2222-22-2-22000000000002-2-22000000-2020000000
χ7322-222-22-2-2222-2-2-22-222-200000000000-22-22000000-2020000000-2-22-2-22-222-2-2-2222-22-2-22000000000002-22-200000020-20000000
χ7422-22-1-22-2-2-12-1111-112-1-200000−i3i3−i3−i3i3i31-12-2000000-10100−i3i3000-2-22-212-2221-21-1-1-11-1-21200000i3−i3i3i3−i3−i3-11-2200000010-100i3−i3000
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χ7722-22-1-22-2-2-12-1111-112-1-200000i3−i3i3i3−i3−i31-1-2200000010-100−i3i3000-2-22-212-2221-21-1-1-11-1-21200000−i3i3−i3−i3i3i3-112-2000000-10100i3−i3000
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χ7922-2-122-2112-1-1-211-121-2-1220i3−i300i3−i3i3−i3-1100-2-1-1110000i3−i300000-2-221-2-22-1-1-2112-1-11-2-121-2-20−i3i300−i3i3−i3i31-100211-1-10000−i3i300000
χ8022-2-122-2112-1-1-211-121-2-1-2-20−i3i300−i3i3−i3i3-1100211-1-10000i3−i300000-2-221-2-22-1-1-2112-1-11-2-121220i3−i300i3−i3i3−i31-100-2-1-1110000−i3i300000
χ8122-2-122-2112-1-1-211-121-2-1-2-20i3−i300i3−i3i3−i3-1100211-1-10000−i3i300000-2-221-2-22-1-1-2112-1-11-2-121220−i3i300−i3i3−i3i31-100-2-1-1110000i3−i300000
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χ85444-2-244-2-2-2-21-2111-2-2-2-200-42222-1-1-1-111000000000000000000-4-4-422-4-42222-12-1-1-12222004-2-2-2-21111-1-1000000000000000000
χ86444-2-2-4-4-2-2-2-21-2111222200000003-3-33-1-1000000000000000000-4-4-422442222-12-1-1-1-2-2-2-20000000-333-311000000000000000000
χ87444-2-2-4-4-2-2-2-21-211122220000000-333-3-1-1000000000000000000-4-4-422442222-12-1-1-1-2-2-2-200000003-3-3311000000000000000000
χ8844-44-24-4-4-4-24-2222-2-2-42400000000000-22000000000000000000-4-44-42-44442-42-2-2-2224-2-4000000000002-2000000000000000000
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χ9144-4-2-24-422-2-212-1-11-222-20002i3−2i300−i3i3−i3i31-1000000000000000000-4-4422-44-2-222-1-211-12-2-22000−2i32i300i3−i3i3−i3-11000000000000000000
χ9244-4-2-2-4422-2-212-1-112-2-2200000−2i32i3i3i3−i3−i3-11000000000000000000-4-44224-4-2-222-1-211-1-222-2000002i3−2i3−i3−i3i3i31-1000000000000000000
χ9344-4-2-2-4422-2-212-1-112-2-22000002i3−2i3−i3−i3i3i3-11000000000000000000-4-44224-4-2-222-1-211-1-222-200000−2i32i3i3i3−i3−i31-1000000000000000000
χ944-40440000-4-44000-40000−2i22i200000000000000−2i22i20000000000000-440-4-4000044-4000400002i2−2i2000000000000002i2−2i20000000000000
χ954-40440000-4-44000-400002i2−2i2000000000000002i2−2i20000000000000-440-4-4000044-400040000−2i22i200000000000000−2i22i20000000000000
χ964-40-2400−2i32i3-42-20−2i32i320000−2i22i200000000000000i2−i26−600000000000-4402-4002i3−2i34-2202i3−2i3-200002i2−2i200000000000000−i2i2−6600000000000
χ974-40-2400−2i32i3-42-20−2i32i3200002i2−2i200000000000000−i2i2−6600000000000-4402-4002i3−2i34-2202i3−2i3-20000−2i22i200000000000000i2−i26−600000000000
χ984-40-24002i3−2i3-42-202i3−2i320000−2i22i200000000000000i2−i2−6600000000000-4402-400−2i32i34-220−2i32i3-200002i2−2i200000000000000−i2i26−600000000000
χ994-40-24002i3−2i3-42-202i3−2i3200002i2−2i200000000000000−i2i26−600000000000-4402-400−2i32i34-220−2i32i3-20000−2i22i200000000000000i2−i2−6600000000000
χ1008-808-400004-8-4000400000000000000000000000000000000000-880-840000-484000-400000000000000000000000000000000000
χ1018-80-4-400−4i34i344202i3−2i3-200000000000000000000000000000000000-88044004i3−4i3-4-4-20−2i32i3200000000000000000000000000000000000
χ1028-80-4-4004i3−4i34420−2i32i3-200000000000000000000000000000000000-8804400−4i34i3-4-4-202i3−2i3200000000000000000000000000000000000

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