Finite Group Databasebeta

← Group #11797133

Character table — Group #11797133

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11222222222444444444444444444444448888888888888888888888991818181818242424242424242436363636364848484848484848
order122334466883666812121212121216161616242424242424242461224242424484848484848484848484848484848484422488444488888161616161212121224242424
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-111-1-111-1-1
χ411111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-1-111-1-111
χ51111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11-1-1-1-11111-1-1-1-1
χ61111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-111111-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1111111-1-1-1-111
χ81111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-11111-1-11111-1-1
χ911-1111-1111111-1-1-11111-1-111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-111i−ii−ii−ii−i-111-1-1i−ii−ii−ii−i
χ1011-1111-1111111-1-1-11111-1-111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111-1-111−ii−ii−ii−ii-111-1-1−ii−ii−ii−ii
χ1111-1111-1111111-1-1-11111-1-111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1i−i−iii−i−ii1-1-111i−i−iii−i−ii
χ1211-1111-1111111-1-1-11111-1-111-1-111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-111-1-1−iii−i−iii−i1-1-111−iii−i−iii−i
χ1311-1111-1111111-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111i−ii−i−ii−ii-1-1-111i−ii−i−ii−ii
χ1411-1111-1111111-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-111−ii−iii−ii−i-1-1-111−ii−iii−ii−i
χ1511-1111-1111111-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1i−i−ii−iii−i111-1-1i−i−ii−iii−i
χ1611-1111-1111111-1-1-11111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-111-1-1−iii−ii−i−ii111-1-1−iii−ii−i−ii
χ17222222222-2-22222-22222220000-2-2-2-2-2-2-2-222-2-2-2-2000000000000000022222-2-200000000-2000000000000
χ18222222222-2-22222-22222220000-2-2-2-2-2-2-2-222-2-2-2-20000000000000000-2-2-2-2-222000000002000000000000
χ1922222-2-2220022220-2-2-2-2-2-2i2−i2i2−i2000000002-20000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i222-2-2200000000000i2−i2i2−i200000000
χ2022222-2-2220022220-2-2-2-2-2-2i2−i2i2−i2000000002-20000i2i2i2i2−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2-2-222-200000000000−i2i2−i2i200000000
χ2122222-2-2220022220-2-2-2-2-2-2−i2i2−i2i2000000002-20000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i222-2-2200000000000−i2i2−i2i200000000
χ2222222-2-2220022220-2-2-2-2-2-2−i2i2−i2i2000000002-20000−i2−i2−i2−i2i2i2i2i2−i2−i2−i2−i2i2i2i2i2-2-222-200000000000i2−i2i2−i200000000
χ232222-1222-122-1-12-122-1-1-12-1222222-1-1-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-10000000002200220000000-1-100-1-1
χ242222-1222-122-1-12-122-1-1-12-1222222-1-1-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-1-1000000000-2-200-2-20000000110011
χ252222-1222-122-1-12-122-1-1-12-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-2111-2111-2111-21110000000002200-2-20000000-1-10011
χ262222-1222-122-1-12-122-1-1-12-1-2-2-2-222-1-1-1-1-1-1-1-12-1-1-1-2111-2111-2111-2111000000000-2-2002200000001100-1-1
χ27222-1222-1222-1-1-122-12-1-1-122222-1-122-1-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-100000002200220000000-1-100-1-100
χ28222-1222-1222-1-1-122-12-1-1-122222-1-122-1-1-1-1-1-1-12-1-1-12-1-1-12-1-1-12-1-1-12-1-10000000-2-200-2-2000000011001100
χ29222-1222-1222-1-1-122-12-1-1-12-2-2-2-2-1-122-1-1-1-1-1-1-12-1-11-2111-2111-2111-21100000002200-2-20000000-1-1001100
χ30222-1222-1222-1-1-122-12-1-1-12-2-2-2-2-1-122-1-1-1-1-1-1-12-1-11-2111-2111-2111-2110000000-2-2002200000001100-1-100
χ3122-2222-222-2-222-2-222222-2-20000-2-2-2-2-2-2-2-2-2-222220000000000000000222-2-2-2-2000000002000000000000
χ3222-2222-222-2-222-2-222222-2-20000-2-2-2-2-2-2-2-2-2-222220000000000000000-2-2-2222200000000-2000000000000
χ3322-222-22220022-2-20-2-2-2-222i2−i2−i2i200000000-220000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i222-22-200000000000i2−i2−i2i200000000
χ3422-222-22220022-2-20-2-2-2-222i2−i2−i2i200000000-220000i2i2i2i2−i2−i2−i2−i2−i2−i2−i2−i2i2i2i2i2-2-22-2200000000000−i2i2i2−i200000000
χ3522-222-22220022-2-20-2-2-2-222−i2i2i2−i200000000-220000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i222-22-200000000000−i2i2i2−i200000000
χ3622-222-22220022-2-20-2-2-2-222−i2i2i2−i200000000-220000−i2−i2−i2−i2i2i2i2i2i2i2i2i2−i2−i2−i2−i2-2-22-2200000000000i2−i2−i2i200000000
χ3722-22-12-22-122-1-1-21-22-1-1-1-2122-2-222-1-1-1-1-1-111-21112-1-1-12-1-1-1-2111-21110000000002i−2i002i−2i0000000−ii00−ii
χ3822-22-12-22-122-1-1-21-22-1-1-1-2122-2-222-1-1-1-1-1-111-21112-1-1-12-1-1-1-2111-2111000000000−2i2i00−2i2i0000000i−i00i−i
χ3922-22-12-22-122-1-1-21-22-1-1-1-21-2-22222-1-1-1-1-1-111-2111-2111-21112-1-1-12-1-1-10000000002i−2i00−2i2i0000000−ii00i−i
χ4022-22-12-22-122-1-1-21-22-1-1-1-21-2-22222-1-1-1-1-1-111-2111-2111-21112-1-1-12-1-1-1000000000−2i2i002i−2i0000000i−i00−ii
χ4122-2-122-2-1222-1-11-2-2-12-1-11-222-2-2-1-122-1-1-1-1111-211-12-1-1-12-1-11-2111-21100000002i−2i002i−2i0000000−ii00−ii00
χ4222-2-122-2-1222-1-11-2-2-12-1-11-222-2-2-1-122-1-1-1-1111-211-12-1-1-12-1-11-2111-2110000000−2i2i00−2i2i0000000i−i00i−i00
χ4322-2-122-2-1222-1-11-2-2-12-1-11-2-2-222-1-122-1-1-1-1111-2111-2111-211-12-1-1-12-1-100000002i−2i00−2i2i0000000−ii00i−i00
χ4422-2-122-2-1222-1-11-2-2-12-1-11-2-2-222-1-122-1-1-1-1111-2111-2111-211-12-1-1-12-1-10000000−2i2i002i−2i0000000i−i00−ii00
χ454444-2444-2-4-4-2-24-2-44-2-2-24-20000-4-4222222-2-2-422200000000000000000000000000000000000000000000
χ464444-2-4-44-200-2-24-20-4222-422i2−2i22i2−2i200000000-2200002i2−i2−i2−i2−2i2i2i2i22i2−i2−i2−i2−2i2i2i2i20000000000000000000000000000
χ474444-2-4-44-200-2-24-20-4222-42−2i22i2−2i22i200000000-220000−2i2i2i2i22i2−i2−i2−i2−2i2i2i2i22i2−i2−i2−i20000000000000000000000000000
χ48444-2444-24-4-4-2-2-24-4-24-2-2-24000022-4-42222-2-22-42200000000000000000000000000000000000000000000
χ49444-24-4-4-2400-2-2-2402-4222-42i2−2i22i2−2i200000000-220000−i22i2−i2−i2i2−2i2i2i2−i22i2−i2−i2i2−2i2i2i20000000000000000000000000000
χ50444-24-4-4-2400-2-2-2402-4222-4−2i22i2−2i22i200000000-220000i2−2i2i2i2−i22i2−i2−i2i2−2i2i2i2−i22i2−i2−i20000000000000000000000000000
χ51444-2-244-2-24411-2-24-2-211-2-24444-2-2-2-2111111-2-211-2-211-2-211-2-211-2-2110000000000000000000000000000
χ52444-2-244-2-24411-2-24-2-211-2-2-4-4-4-4-2-2-2-2111111-2-21122-1-122-1-122-1-122-1-10000000000000000000000000000
χ53444-2-244-2-2-4-411-2-2-4-2-211-2-200002222-1-1-1-11122-1-1003i−3i003i−3i003i−3i003i−3i0000000000000000000000000000
χ54444-2-244-2-2-4-411-2-2-4-2-211-2-200002222-1-1-1-11122-1-100−3i3i00−3i3i00−3i3i00−3i3i0000000000000000000000000000
χ55444-2-2-4-4-2-20011-2-2022-1-1222i2−2i22i2−2i200003i3i−3i−3i1-1003i−3i−i2−i22ζ−ζ3−ζ+2ζ3i2i2−2ζ+ζ3ζ−2ζ3−i2−i22ζ−ζ3−ζ+2ζ3i2i2−2ζ+ζ3ζ−2ζ30000000000000000000000000000
χ56444-2-2-4-4-2-20011-2-2022-1-1222i2−2i22i2−2i20000−3i−3i3i3i1-100−3i3i−i2−i2−ζ+2ζ32ζ−ζ3i2i2ζ−2ζ3−2ζ+ζ3−i2−i2−ζ+2ζ32ζ−ζ3i2i2ζ−2ζ3−2ζ+ζ30000000000000000000000000000
χ57444-2-2-4-4-2-20011-2-2022-1-122−2i22i2−2i22i200003i3i−3i−3i1-1003i−3ii2i2−2ζ+ζ3ζ−2ζ3−i2−i22ζ−ζ3−ζ+2ζ3i2i2−2ζ+ζ3ζ−2ζ3−i2−i22ζ−ζ3−ζ+2ζ30000000000000000000000000000
χ58444-2-2-4-4-2-20011-2-2022-1-122−2i22i2−2i22i20000−3i−3i3i3i1-100−3i3ii2i2ζ−2ζ3−2ζ+ζ3−i2−i2−ζ+2ζ32ζ−ζ3i2i2ζ−2ζ3−2ζ+ζ3−i2−i2−ζ+2ζ32ζ−ζ30000000000000000000000000000
χ5944-44-24-44-2-4-4-2-2-4244-2-2-2-420000-4-4222222224-2-2-200000000000000000000000000000000000000000000
χ6044-44-2-444-200-2-2-420-42224-22i2−2i2−2i22i2000000002-200002i2−i2−i2−i2−2i2i2i2i2−2i2i2i2i22i2−i2−i2−i20000000000000000000000000000
χ6144-44-2-444-200-2-2-420-42224-2−2i22i22i2−2i2000000002-20000−2i2i2i2i22i2−i2−i2−i22i2−i2−i2−i2−2i2i2i2i20000000000000000000000000000
χ6244-4-244-4-24-4-4-2-22-44-24-2-22-4000022-4-4222222-24-2-200000000000000000000000000000000000000000000
χ6344-4-24-44-2400-2-22-402-422-242i2−2i2−2i22i2000000002-20000−i22i2−i2−i2i2−2i2i2i2i2−2i2i2i2−i22i2−i2−i20000000000000000000000000000
χ6444-4-24-44-2400-2-22-402-422-24−2i22i22i2−2i2000000002-20000i2−2i2i2i2−i22i2−i2−i2−i22i2−i2−i2i2−2i2i2i20000000000000000000000000000
χ6544-4-2-24-4-2-2441122-4-2-2112244-4-4-2-2-2-21111-1-122-1-1-2-211-2-21122-1-122-1-10000000000000000000000000000
χ6644-4-2-24-4-2-2441122-4-2-21122-4-444-2-2-2-21111-1-122-1-122-1-122-1-1-2-211-2-2110000000000000000000000000000
χ6744-4-2-24-4-2-2-4-411224-2-2112200002222-1-1-1-1-1-1-2-211003i−3i003i−3i00−3i3i00−3i3i0000000000000000000000000000
χ6844-4-2-24-4-2-2-4-411224-2-2112200002222-1-1-1-1-1-1-2-21100−3i3i00−3i3i003i−3i003i−3i0000000000000000000000000000
χ6944-4-2-2-44-2-2001122022-1-1-2-22i2−2i2−2i22i200003i3i−3i−3i-1100−3i3i−i2−i22ζ−ζ3−ζ+2ζ3i2i2−2ζ+ζ3ζ−2ζ3i2i2−2ζ+ζ3ζ−2ζ3−i2−i22ζ−ζ3−ζ+2ζ30000000000000000000000000000
χ7044-4-2-2-44-2-2001122022-1-1-2-22i2−2i2−2i22i20000−3i−3i3i3i-11003i−3i−i2−i2−ζ+2ζ32ζ−ζ3i2i2ζ−2ζ3−2ζ+ζ3i2i2ζ−2ζ3−2ζ+ζ3−i2−i2−ζ+2ζ32ζ−ζ30000000000000000000000000000
χ7144-4-2-2-44-2-2001122022-1-1-2-2−2i22i22i2−2i200003i3i−3i−3i-1100−3i3ii2i2−2ζ+ζ3ζ−2ζ3−i2−i22ζ−ζ3−ζ+2ζ3−i2−i22ζ−ζ3−ζ+2ζ3i2i2−2ζ+ζ3ζ−2ζ30000000000000000000000000000
χ7244-4-2-2-44-2-2001122022-1-1-2-2−2i22i22i2−2i20000−3i−3i3i3i-11003i−3ii2i2ζ−2ζ3−2ζ+ζ3−i2−i2−ζ+2ζ32ζ−ζ3−i2−i2−ζ+2ζ32ζ−ζ3i2i2ζ−2ζ3−2ζ+ζ30000000000000000000000000000
χ734-404400-4-42i2−2i24-400000000000002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000004i−4i00022−22000000000000000000000
χ744-404400-4-42i2−2i24-400000000000002i2−2i22i2−2i22i2−2i22i2−2i20000000000000000000000−4i4i000−2222000000000000000000000
χ754-404400-4-4−2i22i24-40000000000000−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000004i−4i000−2222000000000000000000000
χ764-404400-4-4−2i22i24-40000000000000−2i22i2−2i22i2−2i22i2−2i22i20000000000000000000000−4i4i00022−22000000000000000000000
χ778-808-400-844i2−4i2-4400000000000004i2−4i2−2i22i2−2i22i2−2i22i200000000000000000000000000000000000000000000000000
χ788-808-400-84−4i24i2-440000000000000−4i24i22i2−2i22i2−2i22i2−2i200000000000000000000000000000000000000000000000000
χ798-80-48004-84i2−4i2-440000000000000−2i22i24i2−4i2−2i22i2−2i22i200000000000000000000000000000000000000000000000000
χ808-80-48004-8−4i24i2-4400000000000002i2−2i2−4i24i22i2−2i22i2−2i200000000000000000000000000000000000000000000000000
χ818-80-4-400444i2−4i22-2000006i−6i000000−2i22i2−2i22i24ζ−2ζ3−4ζ+2ζ3−2ζ+4ζ32ζ−4ζ300000000000000000000000000000000000000000000000000
χ828-80-4-400444i2−4i22-200000−6i6i000000−2i22i2−2i22i2−2ζ+4ζ32ζ−4ζ34ζ−2ζ3−4ζ+2ζ300000000000000000000000000000000000000000000000000
χ838-80-4-40044−4i24i22-2000006i−6i0000002i2−2i22i2−2i2−4ζ+2ζ34ζ−2ζ32ζ−4ζ3−2ζ+4ζ300000000000000000000000000000000000000000000000000
χ848-80-4-40044−4i24i22-200000−6i6i0000002i2−2i22i2−2i22ζ−4ζ3−2ζ+4ζ3−4ζ+2ζ34ζ−2ζ300000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 8 (ζ8 = 1); i = ζ2.