Finite Group Databasebeta

← Group #11867932

Character table — Group #11867932

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size112222222224444444446688888888888121212121212122424242424242424363672112222222224444444446688888888888121212121212122424242424242424363672
order12233446666366661212121288266666666121224824242424266681224248882226644666666666121212128826666666612122482424242426668122424888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1111111-111-1-1-1-1-1-1-1111111111111111111111111111111111-1-1111111-111-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-1-1-1-1-1111111111-11-1-1-11-1-111-11111111111111111111111-1-1-1-1-1-1-1-1-1111111111-11-1-1-11-1-111-1
χ41111111111111111111111-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-11-111-1-111111111111111111111111-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-11-111-1-11
χ511111111111111111111-1-11111111111111-1-1-1-1-1-11-1-11111-1-1-111111111111111111111-1-11111111111111-1-1-1-1-1-11-1-11111-1-1-1
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
χ711111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-11-1-1-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-11-1-1-1-11
χ811111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1111-11111-111111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1111-11111-1
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
χ112222-122-1-1-12-12-1-1-1-12-1222222-1-1-1-1-1-1-1-1002-1-1-1-120-1-100000002222-122-1-1-12-12-1-1-1-12-1222222-1-1-1-1-1-1-1-1002-1-1-1-120-1-10000000
χ122222-122-1-1-12-12-1-1-1-12-1222-2-2-2111111-1-1002-1-1-1-1-201100000002222-122-1-1-12-12-1-1-1-12-1222-2-2-2111111-1-1002-1-1-1-1-20110000000
χ132222-122-1-1-12-12-1-1-1-12-12-2-2222-1-1-1-1-1-1-1-100-21111-201100000002222-122-1-1-12-12-1-1-1-12-12-2-2222-1-1-1-1-1-1-1-100-21111-20110000000
χ142222-122-1-1-12-12-1-1-1-12-12-2-2-2-2-2111111-1-100-2111120-1-100000002222-122-1-1-12-12-1-1-1-12-12-2-2-2-2-2111111-1-100-2111120-1-10000000
χ15222-1222222-1-1-1-1-1-12-12-1002-1-122-1-1-1-1-1-122000000-1002-1-1-1000222-1222222-1-1-1-1-1-12-12-1002-1-122-1-1-1-1-1-122000000-1002-1-1-1000
χ16222-1222222-1-1-1-1-1-12-12-1002-1-122-1-1-1-1-1-1-2-2000000100-2111000222-1222222-1-1-1-1-1-12-12-1002-1-122-1-1-1-1-1-1-2-2000000100-2111000
χ17222-1222222-1-1-1-1-1-12-12-100-211-2-21111-1-122000000-100-2-111000222-1222222-1-1-1-1-1-12-12-100-211-2-21111-1-122000000-100-2-111000
χ18222-1222222-1-1-1-1-1-12-12-100-211-2-21111-1-1-2-200000010021-1-1000222-1222222-1-1-1-1-1-12-12-100-211-2-21111-1-1-2-200000010021-1-1000
χ1922-2222-2-2-2222-2-2-222-2-22000000000002-22-20000002000-20000022-2222-2-2-2222-2-2-222-2-22000000000002-22-20000002000-200000
χ2022-2222-2-2-2222-2-2-222-2-22000000000002-2-22000000-200020000022-2222-2-2-2222-2-2-222-2-22000000000002-2-22000000-2000200000
χ2122-222-22-2-2222-2-2-22-222-222000000000-2200-222-2-20000000000022-222-22-2-2222-2-2-22-222-222000000000-2200-222-2-200000000000
χ2222-222-22-2-2222-2-2-22-222-2-2-2000000000-22002-2-2220000000000022-222-22-2-2222-2-2-22-222-2-2-2000000000-22002-2-22200000000000
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χ2522-22-1-2211-12-1-211-112-1-2-2-2000−i3i3−i3−i3i3i31-100211-1-100i3−i3000000022-22-1-2211-12-1-211-112-1-2-2-2000−i3i3−i3−i3i3i31-100211-1-100i3−i30000000
χ2622-22-1-2211-12-1-211-112-1-2-2-2000i3−i3i3i3−i3−i31-100211-1-100−i3i3000000022-22-1-2211-12-1-211-112-1-2-2-2000i3−i3i3i3−i3−i31-100211-1-100−i3i30000000
χ2722-2-122-2-2-22-1-1111-121-2-1000−i3i300−i3i3−i3i3-112-2000000-10001−i3i300022-2-122-2-2-22-1-1111-121-2-1000−i3i300−i3i3−i3i3-112-2000000-10001−i3i3000
χ2822-2-122-2-2-22-1-1111-121-2-1000−i3i300−i3i3−i3i3-11-220000001000-1i3−i300022-2-122-2-2-22-1-1111-121-2-1000−i3i300−i3i3−i3i3-11-220000001000-1i3−i3000
χ2922-2-122-2-2-22-1-1111-121-2-1000i3−i300i3−i3i3−i3-112-2000000-10001i3−i300022-2-122-2-2-22-1-1111-121-2-1000i3−i300i3−i3i3−i3-112-2000000-10001i3−i3000
χ3022-2-122-2-2-22-1-1111-121-2-1000i3−i300i3−i3i3−i3-11-220000001000-1−i3i300022-2-122-2-2-22-1-1111-121-2-1000i3−i300i3−i3i3−i3-11-220000001000-1−i3i3000
χ314444-2-4-4-2-2-24-24-2-2-22-42-400000000000220000000000000000004444-2-4-4-2-2-24-24-2-2-22-42-40000000000022000000000000000000
χ32444-24-4-4444-2-2-2-2-2-2-42-420000000000022000000000000000000444-24-4-4444-2-2-2-2-2-2-42-420000000000022000000000000000000
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
χ3744-44-24-422-24-2-422-2-2-42400000000000-2200000000000000000044-44-24-422-24-2-422-2-2-42400000000000-22000000000000000000
χ3844-4-24-44-4-44-2-2222-2-4-242000000000002-200000000000000000044-4-24-44-4-44-2-2222-2-4-242000000000002-2000000000000000000
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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
χ434-40440000-4-44000-4000022−220000000000000022−2200000000000004-40440000-4-44000-4000022−220000000000000022−220000000000000
χ444-40440000-4-44000-40000−222200000000000000−222200000000000004-40440000-4-44000-40000−222200000000000000−22220000000000000
χ454-404-200−2i32i32-4-20−2i32i32000022−2200000000000000−22i6−i6000000000004-404-200−2i32i32-4-20−2i32i32000022−2200000000000000−22i6−i600000000000
χ464-404-200−2i32i32-4-20−2i32i320000−2222000000000000002−2−i6i6000000000004-404-200−2i32i32-4-20−2i32i320000−2222000000000000002−2−i6i600000000000
χ474-404-2002i3−2i32-4-202i3−2i32000022−2200000000000000−22−i6i6000000000004-404-2002i3−2i32-4-202i3−2i32000022−2200000000000000−22−i6i600000000000
χ484-404-2002i3−2i32-4-202i3−2i320000−2222000000000000002−2i6−i6000000000004-404-2002i3−2i32-4-202i3−2i320000−2222000000000000002−2i6−i600000000000
χ498-80-480000-84-40004000000000000000000000000000000000008-80-480000-84-4000400000000000000000000000000000000000
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
χ53111111111111111111111111111111111-1-1111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11-1-11111111
χ541111111111111111111111-1-1-1-1-1-1-1-1-1111111111-11-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-11-1111-111-1-11
χ551111111111111111111111-1-1-1-1-1-1-1-1-111-1-111111-1-1-1-11-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-111-1-1-1-1-11111-11-1-111-1
χ5611111111111111111111-1-11111111111111-1-1-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1111111-111-1-1-1-1111
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
χ5811111111111111111111-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-11111-11-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-111111-1-1-1-11-11111-1
χ5911111111111111111111-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-11-1111-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11111111-11-1-1-11-1-1-1-11
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
χ622222-122-1-1-12-12-1-1-1-12-1222222-1-1-1-1-1-1-1-1002-1-1-1-120-1-10000000-2-2-2-21-2-2111-21-21111-21-2-2-2-2-2-21111111100-21111-20110000000
χ632222-122-1-1-12-12-1-1-1-12-1222-2-2-2111111-1-1002-1-1-1-1-20110000000-2-2-2-21-2-2111-21-21111-21-2-2-2222-1-1-1-1-1-11100-2111120-1-10000000
χ642222-122-1-1-12-12-1-1-1-12-12-2-2222-1-1-1-1-1-1-1-100-21111-20110000000-2-2-2-21-2-2111-21-21111-21-222-2-2-211111111002-1-1-1-120-1-10000000
χ652222-122-1-1-12-12-1-1-1-12-12-2-2-2-2-2111111-1-100-2111120-1-10000000-2-2-2-21-2-2111-21-21111-21-222222-1-1-1-1-1-111002-1-1-1-1-20110000000
χ66222-1222222-1-1-1-1-1-12-12-1002-1-122-1-1-1-1-1-122000000-1002-1-1-1000-2-2-21-2-2-2-2-2-2111111-21-2100-211-2-2111111-2-2000000100-2111000
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χ68222-1222222-1-1-1-1-1-12-12-100-211-2-21111-1-122000000-100-2-111000-2-2-21-2-2-2-2-2-2111111-21-21002-1-122-1-1-1-111-2-200000010021-1-1000
χ69222-1222222-1-1-1-1-1-12-12-100-211-2-21111-1-1-2-200000010021-1-1000-2-2-21-2-2-2-2-2-2111111-21-21002-1-122-1-1-1-11122000000-100-2-111000
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χ7222-222-22-2-2222-2-2-22-222-222000000000-2200-222-2-200000000000-2-22-2-22-222-2-2-2222-22-2-22-2-20000000002-2002-2-22200000000000
χ7322-222-22-2-2222-2-2-22-222-2-2-2000000000-22002-2-22200000000000-2-22-2-22-222-2-2-2222-22-2-22220000000002-200-222-2-200000000000
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χ7622-22-1-2211-12-1-211-112-1-2-2-2000−i3i3−i3−i3i3i31-100211-1-100i3−i30000000-2-22-212-2-1-11-212-1-11-1-21222000i3−i3i3i3−i3−i3-1100-2-1-11100−i3i30000000
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χ8022-2-122-2-2-22-1-1111-121-2-1000i3−i300i3−i3i3−i3-112-2000000-10001i3−i3000-2-221-2-2222-211-1-1-11-2-121000−i3i300−i3i3−i3i31-1-220000001000-1−i3i3000
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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
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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
χ944-40440000-4-44000-4000022−220000000000000022−220000000000000-440-4-4000044-400040000−222200000000000000−22220000000000000
χ954-40440000-4-44000-40000−222200000000000000−22220000000000000-440-4-4000044-40004000022−220000000000000022−220000000000000
χ964-404-200−2i32i32-4-20−2i32i32000022−2200000000000000−22i6−i600000000000-440-42002i3−2i3-24202i3−2i3-20000−2222000000000000002−2−i6i600000000000
χ974-404-200−2i32i32-4-20−2i32i320000−2222000000000000002−2−i6i600000000000-440-42002i3−2i3-24202i3−2i3-2000022−2200000000000000−22i6−i600000000000
χ984-404-2002i3−2i32-4-202i3−2i32000022−2200000000000000−22−i6i600000000000-440-4200−2i32i3-2420−2i32i3-20000−2222000000000000002−2i6−i600000000000
χ994-404-2002i3−2i32-4-202i3−2i320000−2222000000000000002−2i6−i600000000000-440-4200−2i32i3-2420−2i32i3-2000022−2200000000000000−22−i6i600000000000
χ1008-80-480000-84-4000400000000000000000000000000000000000-8804-800008-44000-400000000000000000000000000000000000
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).