Finite Group Databasebeta

← Group #11921735

Character table — Group #11921735

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66
size1111222222222266888812121212121212121212121212121212121212121216161616161616161616242424242436364848484872727272
order12223446661212121244366624444888812121212242424242424242436661212121212122661212246612124488
χ1111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1111111-1-1-1-1
χ311111111111111111111-1-11111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-1111-1-1-1-11111111-1-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-111-1111-1-11-11-1
χ611111-1-1111-1-1-1-11111111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111-1-1-1111-1-1-11-11
χ711111-1-1111-1-1-1-1111111-11-111-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1-1111-1-1-111-11-11
χ811111-1-1111-1-1-1-1111111-11-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1111-1-11-1-1-1111-11-1
χ92222222222222222-1-1-1-1222000000222200000000-1-1-1-1-1-1-1-1-1-10000022-1-1-1-10000
χ102222222222222222-1-1-1-1-2-22000000222200000000-1-1-1-1-1-1-1-1-1-100000-2-211110000
χ1122222-2-2222-2-2-2-222-1-1-1-12-2-2000000-2-22200000000-1-1-1-111111100000-22-1-1110000
χ1222222-2-2222-2-2-2-222-1-1-1-1-22-2000000-2-22200000000-1-1-1-1111111000002-211-1-10000
χ132222-122-1-1-1-1-1-1-1222222002222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-12-1-1-1-10000000000
χ142222-122-1-1-1-1-1-1-1222222002-2-2-2-2-2-2-1-1-1-111111111-1-1-1-122-1-1-1-1-211110000000000
χ152222-1-2-2-1-1-1111122222200-222-2-22211-1-1-1-1-1-11111-1-1-1-1-2-21111-211-1-10000000000
χ162222-1-2-2-1-1-1111122222200-2-2-222-2-211-1-11111-1-1-1-1-1-1-1-1-2-211112-1-1110000000000
χ1722-2-22002-2-200002-22-2-220002i−2i002i−2i002-22i2i−2i−2i000022-2-20000000002i−2i0000000000
χ1822-2-22002-2-200002-22-2-22000−2i2i00−2i2i002-2−2i−2i2i2i000022-2-2000000000−2i2i0000000000
χ1922-2-2-100-11133−3−32-22-2-220002i−2i002i−2i3−3-11−i−iii−i3−i3i3i3-1-1110033−3−30−i3i3−ii0000000000
χ2022-2-2-100-11133−3−32-22-2-22000−2i2i00−2i2i3−3-11ii−i−ii3i3−i3−i3-1-1110033−3−30i3−i3i−i0000000000
χ2122-2-2-100-111−3−3332-22-2-220002i−2i002i−2i−33-11−i−iiii3i3−i3−i3-1-11100−3−3330i3−i3−ii0000000000
χ2222-2-2-100-111−3−3332-22-2-22000−2i2i00−2i2i−33-11ii−i−i−i3−i3i3i3-1-11100−3−3330−i3i3i−i0000000000
χ2333333333333333-1-1000033-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000011111-1-1000011-1-1
χ2433333333333333-1-1000033-1-1-11111-1-1-1-1111111110000000000-1-1-1-1-1-1-10000-1-111
χ2533333333333333-1-10000-3-3-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000011111110000-1-111
χ2633333333333333-1-10000-3-3-1-1-11111-1-1-1-1111111110000000000-1-1-1-1-111000011-1-1
χ2733333-3-3333-3-3-3-3-1-100003-311111-1-111-1-1-1-1-1-111110000000000-1-1-1111-100001-1-11
χ2833333-3-3333-3-3-3-3-1-100003-31-1-1-1-11111-1-11111-1-1-1-10000000000111-1-11-10000-111-1
χ2933333-3-3333-3-3-3-3-1-10000-3311111-1-111-1-1-1-1-1-111110000000000-1-1-111-110000-111-1
χ3033333-3-3333-3-3-3-3-1-10000-331-1-1-1-11111-1-11111-1-1-1-10000000000111-1-1-1100001-1-11
χ314444-244-2-2-2-2-2-2-244-2-2-2-2004000000-2-2-2-2000000001111-2-21111000000000000000
χ324444-2-4-4-2-2-2222244-2-2-2-200-400000022-2-200000000111122-1-1-1-1000000000000000
χ3344-4-44004-4-400004-4-222-2000000000004-400000000-2-222000000000000000000000
χ3444-4-4-200-2222323−23−234-4-222-200000000023−23-220000000011-1-100−3−333000000000000000
χ3544-4-4-200-222−23−2323234-4-222-2000000000−2323-220000000011-1-10033−3−3000000000000000
χ364-44-444i−4i-44-44i−4i4i−4i0011-1-10000000000000000000001-11-1i−ii−ii−i0000000−i3i33−30000
χ374-44-444i−4i-44-44i−4i4i−4i0011-1-10000000000000000000001-11-1i−ii−ii−i0000000i3−i3−330000
χ384-44-444i−4i-44-44i−4i4i−4i00-2-222000000000000000000000-22-22−2i2i−2i2i−2i2i000000000000000
χ394-44-44−4i4i-44-4−4i4i−4i4i0011-1-10000000000000000000001-11-1−ii−ii−ii0000000−i3i3−330000
χ404-44-44−4i4i-44-4−4i4i−4i4i0011-1-10000000000000000000001-11-1−ii−ii−ii0000000i3−i33−30000
χ414-44-44−4i4i-44-4−4i4i−4i4i00-2-222000000000000000000000-22-222i−2i2i−2i2i−2i000000000000000
χ424-44-4-24i−4i2-22−2i2i−2i2i00-2-2220000000000000i6−i6i6−i66−66−61-11-1−2i2ii−ii−i000000000000000
χ434-44-4-24i−4i2-22−2i2i−2i2i00-2-2220000000000000−i6i6−i6i6−66−661-11-1−2i2ii−ii−i000000000000000
χ444-44-4-2−4i4i2-222i−2i2i−2i00-2-2220000000000000i6−i6i6−i6−66−661-11-12i−2i−ii−ii000000000000000
χ454-44-4-2−4i4i2-222i−2i2i−2i00-2-2220000000000000−i6i6−i6i66−66−61-11-12i−2i−ii−ii000000000000000
χ464-4-44400-4-44000000-22-2200000−2i22i20000000000−2i22i22i2−2i2-222-2000000000000000000000
χ474-4-44400-4-44000000-22-22000002i2−2i200000000002i2−2i2−2i22i2-222-2000000000000000000000
χ484-4-44-20022-2−2i32i32i3−2i300-22-2200000−2i22i2000000−666−6i2−i2−i2i21-1-1100i3−i3−i3i3000000000000000
χ494-4-44-20022-2−2i32i32i3−2i300-22-22000002i2−2i20000006−6−66−i2i2i2−i21-1-1100i3−i3−i3i3000000000000000
χ504-4-44-20022-22i3−2i3−2i32i300-22-2200000−2i22i20000006−6−66i2−i2−i2i21-1-1100−i3i3i3−i3000000000000000
χ514-4-44-20022-22i3−2i3−2i32i300-22-22000002i2−2i2000000−666−6−i2i2i2−i21-1-1100−i3i3i3−i3000000000000000
χ526666-366-3-3-3-3-3-3-3-2-2000000-222-2-2-2-211111111111100000000002-1-1-1-10000000000
χ536666-366-3-3-3-3-3-3-3-2-2000000-2-2-222221111-1-1-1-1-1-1-1-10000000000-211110000000000
χ546666-3-6-6-3-3-33333-2-200000022222-2-2-1-1111111-1-1-1-10000000000-211-1-10000000000
χ556666-3-6-6-3-3-33333-2-20000002-2-2-2-222-1-111-1-1-1-1111100000000002-1-1110000000000
χ5666-6-66006-6-60000-2200000002i−2i00−2i2i00-22−2i−2i2i2i000000000000000002i−2i0000000000
χ5766-6-66006-6-60000-220000000−2i2i002i−2i00-222i2i−2i−2i00000000000000000−2i2i0000000000
χ5866-6-6-300-3333333−33−33-2200000002i−2i00−2i2i−331-1ii−i−ii3i3−i3−i300000000000−i3i3−ii0000000000
χ5966-6-6-300-3333333−33−33-220000000−2i2i002i−2i−331-1−i−iii−i3−i3i3i300000000000i3−i3i−i0000000000
χ6066-6-6-300-333−33−333333-2200000002i−2i00−2i2i3−31-1ii−i−i−i3−i3i3i300000000000i3−i3−ii0000000000
χ6166-6-6-300-333−33−333333-220000000−2i2i002i−2i3−31-1−i−iiii3i3−i3−i300000000000−i3i3i−i0000000000
χ628-88-8-48i−8i4-44−4i4i−4i4i0022-2-2000000000000000000000-11-112i−2i−ii−ii000000000000000
χ638-88-8-4−8i8i4-444i−4i4i−4i0022-2-2000000000000000000000-11-11−2i2ii−ii−i000000000000000
χ648-8-88800-8-880000002-22-20000000000000000000002-2-22000000000000000000000
χ658-8-88-40044-4−4i34i34i3−4i3002-22-2000000000000000000000-111-100−i3i3i3−i3000000000000000
χ668-8-88-40044-44i3−4i3−4i34i3002-22-2000000000000000000000-111-100i3−i3−i3i3000000000000000

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