Finite Group Databasebeta

← Group #11795921

Character table — Group #11795921

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size11112222224444444444444444444488888888888888888888888899991818181818183636363636363636363636363636363636363636
order124424888833446666668812121212121212121212121212121212242424242424242424242424242424242244248888448816161616161616161616161616161616
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1iiiiiiii−i−i−i−i−i−i−i−i
χ4111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1−i−i−i−i−i−i−i−iiiiiiiii
χ5111111111111-1-1111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-11111-1-1-1-1
χ6111111111111-1-1111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111-1-1-1-11111
χ7111111111111-1-1111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i−i−i−i−iiiii
χ8111111111111-1-1111111-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiiiiiii−i−i−i−i
χ9111111-1-1-1-11111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ10111111-1-1-1-11111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111-1-1−i−iii−i−iii−i−iii−i−iii
χ11111111-1-1-1-11111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-111-1-1-1-111-1-111
χ12111111-1-1-1-11111111111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111-1-11111-1-111-1-1
χ13111111-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111ii−i−i−i−iiiii−i−i−i−iii
χ14111111-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-111−i−iiiii−i−i−i−iiiii−i−i
χ15111111-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-111-1-1-1-111-1-11111-1-1
χ16111111-1-1-1-111-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111111-1-1-1-11111-1-111-1-1-1-111
χ171111-1-111-1-111i−i11-1-1-1-1i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-111-1-1i−ii−i1-11-1i−ii−i1-11-1i−ii−i
χ181111-1-111-1-111i−i11-1-1-1-1i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i1111-1-111-1-1i−ii−i-11-11−ii−ii-11-11−ii−ii
χ191111-1-111-1-111i−i11-1-1-1-1i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-1-1-111-1-111−ii−iii−ii−i-11-11−ii−ii1-11-1
χ201111-1-111-1-111i−i11-1-1-1-1i−i1111-1-1-1-1iiii−i−i−i−i1111-1-1-1-1iiii−i−i−i−i-1-1-1-111-1-111−ii−ii−ii−ii1-11-1i−ii−i-11-11
χ211111-1-111-1-111−ii11-1-1-1-1−ii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-111-1-1−ii−ii1-11-1−ii−ii1-11-1−ii−ii
χ221111-1-111-1-111−ii11-1-1-1-1−ii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii1111-1-111-1-1−ii−ii-11-11i−ii−i-11-11i−ii−i
χ231111-1-111-1-111−ii11-1-1-1-1−ii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-1-1-111-1-111i−ii−ii−ii−i1-11-1−ii−ii-11-11
χ241111-1-111-1-111−ii11-1-1-1-1−ii1111-1-1-1-1−i−i−i−iiiii1111-1-1-1-1−i−i−i−iiiii-1-1-1-111-1-111i−ii−i−ii−ii-11-11i−ii−i1-11-1
χ251111-1-1-1-11111i−i11-1-1-1-1−ii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-111i−i−iii−i−ii-111-1i−i−ii-111-1
χ261111-1-1-1-11111i−i11-1-1-1-1−ii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii1111-1-1-1-111i−i−ii−iii−i1-1-11−iii−i1-1-11
χ271111-1-1-1-11111i−i11-1-1-1-1−ii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-1-1-11111-1-1−iii−i1-1-11i−i−ii-111-1−iii−i
χ281111-1-1-1-11111i−i11-1-1-1-1−ii1111-1-1-1-1iiii−i−i−i−i-1-1-1-11111−i−i−i−iiiii-1-1-1-11111-1-1−iii−i-111-1−iii−i1-1-11i−i−ii
χ291111-1-1-1-11111−ii11-1-1-1-1i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-111−iii−ii−i−ii1-1-11i−i−ii1-1-11
χ301111-1-1-1-11111−ii11-1-1-1-1i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i1111-1-1-1-111−iii−i−iii−i-111-1−iii−i-111-1
χ311111-1-1-1-11111−ii11-1-1-1-1i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-1-1-11111-1-1i−i−ii1-1-11−iii−i-111-1i−i−ii
χ321111-1-1-1-11111−ii11-1-1-1-1i−i1111-1-1-1-1−i−i−i−iiiii-1-1-1-11111iiii−i−i−i−i-1-1-1-11111-1-1i−i−ii-111-1i−i−ii1-1-11−iii−i
χ3322-2-22-22i−2i2i−2i220022222200-2-2-2-2-2-2-2-2000000002i2i−2i−2i2i2i−2i−2i0000000022-2-22-22i−2i2i−2i00000000000000000000
χ3422-2-22-22i−2i2i−2i220022222200-2-2-2-2-2-2-2-2000000002i2i−2i−2i2i2i−2i−2i00000000-2-222-22−2i2i−2i2i00000000000000000000
χ3522-2-22-2−2i2i−2i2i220022222200-2-2-2-2-2-2-2-200000000−2i−2i2i2i−2i−2i2i2i0000000022-2-22-2−2i2i−2i2i00000000000000000000
χ3622-2-22-2−2i2i−2i2i220022222200-2-2-2-2-2-2-2-200000000−2i−2i2i2i−2i−2i2i2i00000000-2-222-222i−2i2i−2i00000000000000000000
χ3722-2-2-222i−2i−2i2i220022-2-2-2-200-2-2-2-22222000000002i2i−2i−2i−2i−2i2i2i0000000022-2-2-222i−2i−2i2i00000000000000000000
χ3822-2-2-222i−2i−2i2i220022-2-2-2-200-2-2-2-22222000000002i2i−2i−2i−2i−2i2i2i00000000-2-2222-2−2i2i2i−2i00000000000000000000
χ3922-2-2-22−2i2i2i−2i220022-2-2-2-200-2-2-2-2222200000000−2i−2i2i2i2i2i−2i−2i0000000022-2-2-22−2i2i2i−2i00000000000000000000
χ4022-2-2-22−2i2i2i−2i220022-2-2-2-200-2-2-2-2222200000000−2i−2i2i2i2i2i−2i−2i00000000-2-2222-22i−2i−2i2i00000000000000000000
χ4144444444441-2441-211-2-24411-2-211-2-211-2-211-2-21-21-21-21-211-2-211-2-2000000000000000000000000000000
χ4244444444441-2-4-41-211-2-2-4-411-2-211-2-2-1-122-1-1221-21-21-21-2-1-122-1-122000000000000000000000000000000
χ434444444444-2144-21-2-21144-2-211-2-211-2-211-2-211-21-21-21-21-2-211-2-211000000000000000000000000000000
χ444444444444-21-4-4-21-2-211-4-4-2-211-2-21122-1-122-1-1-21-21-21-2122-1-122-1-1000000000000000000000000000000
χ45444444-4-4-4-41-2441-211-2-2-4-411-2-211-2-211-2-211-2-2-12-12-12-12-1-122-1-122000000000000000000000000000000
χ46444444-4-4-4-41-2-4-41-211-2-24411-2-211-2-2-1-122-1-122-12-12-12-1211-2-211-2-2000000000000000000000000000000
χ47444444-4-4-4-4-2144-21-2-211-4-4-2-211-2-211-2-211-2-2112-12-12-12-122-1-122-1-1000000000000000000000000000000
χ48444444-4-4-4-4-21-4-4-21-2-21144-2-211-2-21122-1-122-1-12-12-12-12-1-2-211-2-211000000000000000000000000000000
χ494444-4-444-4-41-24i−4i1-2-1-1224i−4i11-2-2-1-122ii−2i−2i−i−i2i2i1-21-2-12-12ii−2i−2i−i−i2i2i000000000000000000000000000000
χ504444-4-444-4-41-2−4i4i1-2-1-122−4i4i11-2-2-1-122−i−i2i2iii−2i−2i1-21-2-12-12−i−i2i2iii−2i−2i000000000000000000000000000000
χ514444-4-444-4-4-214i−4i-2122-1-14i−4i-2-21122-1-1−2i−2iii2i2i−i−i-21-212-12-1−2i−2iii2i2i−i−i000000000000000000000000000000
χ524444-4-444-4-4-21−4i4i-2122-1-1−4i4i-2-21122-1-12i2i−i−i−2i−2iii-21-212-12-12i2i−i−i−2i−2iii000000000000000000000000000000
χ534444-4-4-4-4441-24i−4i1-2-1-122−4i4i11-2-2-1-122ii−2i−2i−i−i2i2i-12-121-21-2−i−i2i2iii−2i−2i000000000000000000000000000000
χ544444-4-4-4-4441-2−4i4i1-2-1-1224i−4i11-2-2-1-122−i−i2i2iii−2i−2i-12-121-21-2ii−2i−2i−i−i2i2i000000000000000000000000000000
χ554444-4-4-4-444-214i−4i-2122-1-1−4i4i-2-21122-1-1−2i−2iii2i2i−i−i2-12-1-21-212i2i−i−i−2i−2iii000000000000000000000000000000
χ564444-4-4-4-444-21−4i4i-2122-1-14i−4i-2-21122-1-12i2i−i−i−2i−2iii2-12-1-21-21−2i−2iii2i2i−i−i000000000000000000000000000000
χ5744-4-44-44i−4i4i−4i1-2001-211-2-200-1-122-1-1223-3003-300i−2i−i2ii−2i−i2i3i−3i003i−3i00000000000000000000000000000000
χ5844-4-44-44i−4i4i−4i1-2001-211-2-200-1-122-1-122-3300-3300i−2i−i2ii−2i−i2i−3i3i00−3i3i00000000000000000000000000000000
χ5944-4-44-44i−4i4i−4i-2100-21-2-2110022-1-122-1-1003-3003-3−2ii2i−i−2ii2i−i003i−3i003i−3i000000000000000000000000000000
χ6044-4-44-44i−4i4i−4i-2100-21-2-2110022-1-122-1-100-3300-33−2ii2i−i−2ii2i−i00−3i3i00−3i3i000000000000000000000000000000
χ6144-4-44-4−4i4i−4i4i1-2001-211-2-200-1-122-1-1223-3003-300−i2ii−2i−i2ii−2i−3i3i00−3i3i00000000000000000000000000000000
χ6244-4-44-4−4i4i−4i4i1-2001-211-2-200-1-122-1-122-3300-3300−i2ii−2i−i2ii−2i3i−3i003i−3i00000000000000000000000000000000
χ6344-4-44-4−4i4i−4i4i-2100-21-2-2110022-1-122-1-1003-3003-32i−i−2ii2i−i−2ii00−3i3i00−3i3i000000000000000000000000000000
χ6444-4-44-4−4i4i−4i4i-2100-21-2-2110022-1-122-1-100-3300-332i−i−2ii2i−i−2ii003i−3i003i−3i000000000000000000000000000000
χ6544-4-4-444i−4i−4i4i1-2001-2-1-12200-1-12211-2-23i−3i00−3i3i00i−2i−i2i−i2ii−2i-33003-300000000000000000000000000000000
χ6644-4-4-444i−4i−4i4i1-2001-2-1-12200-1-12211-2-2−3i3i003i−3i00i−2i−i2i−i2ii−2i3-300-3300000000000000000000000000000000
χ6744-4-4-444i−4i−4i4i-2100-2122-1-10022-1-1-2-211003i−3i00−3i3i−2ii2i−i2i−i−2ii00-33003-3000000000000000000000000000000
χ6844-4-4-444i−4i−4i4i-2100-2122-1-10022-1-1-2-21100−3i3i003i−3i−2ii2i−i2i−i−2ii003-300-33000000000000000000000000000000
χ6944-4-4-44−4i4i4i−4i1-2001-2-1-12200-1-12211-2-23i−3i00−3i3i00−i2ii−2ii−2i−i2i3-300-3300000000000000000000000000000000
χ7044-4-4-44−4i4i4i−4i1-2001-2-1-12200-1-12211-2-2−3i3i003i−3i00−i2ii−2ii−2i−i2i-33003-300000000000000000000000000000000
χ7144-4-4-44−4i4i4i−4i-2100-2122-1-10022-1-1-2-211003i−3i00−3i3i2i−i−2ii−2ii2i−i003-300-33000000000000000000000000000000
χ7244-4-4-44−4i4i4i−4i-2100-2122-1-10022-1-1-2-21100−3i3i003i−3i2i−i−2ii−2ii2i−i00-33003-3000000000000000000000000000000
χ734-44i−4i0000004400-4-40000004i−4i4i−4i00000000000000000000000000004-44i−4i00000000000000000000000000
χ744-44i−4i0000004400-4-40000004i−4i4i−4i0000000000000000000000000000-44−4i4i00000000000000000000000000
χ754-4−4i4i0000004400-4-4000000−4i4i−4i4i00000000000000000000000000004-4−4i4i00000000000000000000000000
χ764-4−4i4i0000004400-4-4000000−4i4i−4i4i0000000000000000000000000000-444i−4i00000000000000000000000000
χ778-88i−8i0000002-400-246-600002i−2i−4i4i6i−6i00000000000000000000000000000000000000000000000000000000
χ788-88i−8i0000002-400-24-6600002i−2i−4i4i−6i6i00000000000000000000000000000000000000000000000000000000
χ798-88i−8i000000-42004-2006-600−4i4i2i−2i006i−6i000000000000000000000000000000000000000000000000000000
χ808-88i−8i000000-42004-200-6600−4i4i2i−2i00−6i6i000000000000000000000000000000000000000000000000000000
χ818-8−8i8i0000002-400-246-60000−2i2i4i−4i−6i6i00000000000000000000000000000000000000000000000000000000
χ828-8−8i8i0000002-400-24-660000−2i2i4i−4i6i−6i00000000000000000000000000000000000000000000000000000000
χ838-8−8i8i000000-42004-2006-6004i−4i−2i2i00−6i6i000000000000000000000000000000000000000000000000000000
χ848-8−8i8i000000-42004-200-66004i−4i−2i2i006i−6i000000000000000000000000000000000000000000000000000000

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