Finite Group Databasebeta

← Group #11921030

Character table — Group #11921030

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69
size112222222444444446666888888888888121212121212121212121616161616161616161616161616161616167272727272727272
order122223666446612121212444433366666666644121212121212121266666612121212121212121212121224448888
χ1111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1
χ3111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1
χ4111111111-1-111-1-1-1-11111111111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111
χ5111-1-11-1-11i−i1-1ii−i−i1-11-1111111-1-1-1-1-1-1i−iii−i−i11-1-1111-1-1-1iiiiii−i−i−i−i−i−i1-1i−i1-1i−i
χ6111-1-11-1-11i−i1-1ii−i−i1-11-1111111-1-1-1-1-1-1i−iii−i−i11-1-1111-1-1-1iiiiii−i−i−i−i−i−i-11−ii-11−ii
χ7111-1-11-1-11−ii1-1−i−iii1-11-1111111-1-1-1-1-1-1−ii−i−iii11-1-1111-1-1-1−i−i−i−i−i−iiiiiii1-1−ii1-1−ii
χ8111-1-11-1-11−ii1-1−i−iii1-11-1111111-1-1-1-1-1-1−ii−i−iii11-1-1111-1-1-1−i−i−i−i−i−iiiiiii-11i−i-11i−i
χ9222222222222222222222-1-1-1-1-1-1-1-1-1-1-1-12222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000
χ10222222222-2-222-2-2-2-22222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2-2-22222-1-1-1-1-1-111111111111100000000
χ1122222-1-1-1-122-1-1-1-1-1-122222-1-12-1-122-1-1-1-122-1-1-1-1-1-1-1-12-1-12-1-122-1-1-1-122-1-1-1-100000000
χ1222222-1-1-1-122-1-1-1-1-1-12222-12-1-12-1-1-122-1-122-1-1-1-1-1-1-1-1-12-1-12-1-1-122-1-1-1-122-1-100000000
χ1322222-1-1-1-122-1-1-1-1-1-12222-1-12-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-12-1-12-1-1-1-122-1-1-1-12200000000
χ1422222-1-1-1-1-2-2-1-1111122222-1-12-1-122-1-1-1-1-2-21111-1-1-1-12-1-12-1-1-2-21111-2-2111100000000
χ1522222-1-1-1-1-2-2-1-111112222-12-1-12-1-1-122-1-1-2-21111-1-1-1-1-12-1-12-111-2-21111-2-21100000000
χ1622222-1-1-1-1-2-2-1-111112222-1-12-1-12-1-1-1-122-2-21111-1-1-1-1-1-12-1-121111-2-21111-2-200000000
χ17222-2-22-2-222i−2i2-22i2i−2i−2i2-22-2-1-1-1-1-1-11111112i−2i2i2i−2i−2i22-2-2-1-1-1111−i−i−i−i−i−iiiiiii00000000
χ18222-2-22-2-22−2i2i2-2−2i−2i2i2i2-22-2-1-1-1-1-1-1111111−2i2i−2i−2i2i2i22-2-2-1-1-1111iiiiii−i−i−i−i−i−i00000000
χ19222-2-2-111-12i−2i-11−i−iii2-22-22-1-12-1-1-2-211112i−2i−i−iii-1-1112-1-1-2112i2i−i−i−i−i−2i−2iiiii00000000
χ20222-2-2-111-12i−2i-11−i−iii2-22-2-12-1-12-111-2-2112i−2i−i−iii-1-111-12-11-21−i−i2i2i−i−iii−2i−2iii00000000
χ21222-2-2-111-12i−2i-11−i−iii2-22-2-1-12-1-121111-2-22i−2i−i−iii-1-111-1-1211-2−i−i−i−i2i2iiiii−2i−2i00000000
χ22222-2-2-111-1−2i2i-11ii−i−i2-22-22-1-12-1-1-2-21111−2i2iii−i−i-1-1112-1-1-211−2i−2iiiii2i2i−i−i−i−i00000000
χ23222-2-2-111-1−2i2i-11ii−i−i2-22-2-12-1-12-111-2-211−2i2iii−i−i-1-111-12-11-21ii−2i−2iii−i−i2i2i−i−i00000000
χ24222-2-2-111-1−2i2i-11ii−i−i2-22-2-1-12-1-121111-2-2−2i2iii−i−i-1-111-1-1211-2iiii−2i−2i−i−i−i−i2i2i00000000
χ2522-22-2222200-2-20000-222-22222222222220000002-22-2-2-2-2-2-2-200000000000000000000
χ2622-22-2222200-2-20000-222-2-1-1-1-1-1-1-1-1-1-1-1-10000002-22-2111111−i3i3−i3i3−i3i3−i3i3−i3i3−i3i300000000
χ2722-22-2222200-2-20000-222-2-1-1-1-1-1-1-1-1-1-1-1-10000002-22-2111111i3−i3i3−i3i3−i3i3−i3i3−i3i3−i300000000
χ2822-22-2-1-1-1-10011−i3i3−i3i3-222-22-1-12-1-122-1-1-1-100−i3i3−i3i3-11-11-211-21100−i3i3i3−i300−i3i3i3−i300000000
χ2922-22-2-1-1-1-10011−i3i3−i3i3-222-2-12-1-12-1-1-122-1-100−i3i3−i3i3-11-111-211-21i3−i300−i3i3i3−i300−i3i300000000
χ3022-22-2-1-1-1-10011−i3i3−i3i3-222-2-1-12-1-12-1-1-1-12200−i3i3−i3i3-11-1111-211-2−i3i3i3−i300−i3i3i3−i30000000000
χ3122-22-2-1-1-1-10011i3−i3i3−i3-222-22-1-12-1-122-1-1-1-100i3−i3i3−i3-11-11-211-21100i3−i3−i3i300i3−i3−i3i300000000
χ3222-22-2-1-1-1-10011i3−i3i3−i3-222-2-12-1-12-1-1-122-1-100i3−i3i3−i3-11-111-211-21−i3i300i3−i3−i3i300i3−i300000000
χ3322-22-2-1-1-1-10011i3−i3i3−i3-222-2-1-12-1-12-1-1-1-12200i3−i3i3−i3-11-1111-211-2i3−i3−i3i300i3−i3−i3i30000000000
χ3422-2-222-2-2200-220000-2-222222222-2-2-2-2-2-20000002-2-22-2-2-222200000000000000000000
χ3522-2-222-2-2200-220000-2-222-1-1-1-1-1-11111110000002-2-22111-1-1-13−33−33−3−33−33−3300000000
χ3622-2-222-2-2200-220000-2-222-1-1-1-1-1-11111110000002-2-22111-1-1-1−33−33−333−33−33−300000000
χ3722-2-22-111-1001-13−3−33-2-2222-1-12-1-1-2-21111003−3−33-111-1-2112-1-1003−3−3300−333−300000000
χ3822-2-22-111-1001-13−3−33-2-222-12-1-12-111-2-211003−3−33-111-11-21-12-1−33003−33−300−3300000000
χ3922-2-22-111-1001-13−3−33-2-222-1-12-1-121111-2-2003−3−33-111-111-2-1-123−3−3300−333−30000000000
χ4022-2-22-111-1001-1−333−3-2-2222-1-12-1-1-2-2111100−333−3-111-1-2112-1-100−333−3003−3−3300000000
χ4122-2-22-111-1001-1−333−3-2-222-12-1-12-111-2-21100−333−3-111-11-21-12-13−300−33−33003−300000000
χ4222-2-22-111-1001-1−333−3-2-222-1-12-1-121111-2-200−333−3-111-111-2-1-12−333−3003−3−330000000000
χ4333333333333333333-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-10000000000000000001111-1-1-1-1
χ4433333333333333333-1-1-1-1000000000000-1-1-1-1-1-1-1-1-1-1000000000000000000-1-1-1-11111
χ45333333333-3-333-3-3-3-3-1-1-1-1000000000000111111-1-1-1-100000000000000000011-1-1-1-111
χ46333333333-3-333-3-3-3-3-1-1-1-1000000000000111111-1-1-1-1000000000000000000-1-11111-1-1
χ47333-3-33-3-333i−3i3-33i3i−3i−3i-11-11000000000000−ii−i−iii-1-1110000000000000000001-1i−i-11−ii
χ48333-3-33-3-333i−3i3-33i3i−3i−3i-11-11000000000000−ii−i−iii-1-111000000000000000000-11−ii1-1i−i
χ49333-3-33-3-33−3i3i3-3−3i−3i3i3i-11-11000000000000i−iii−i−i-1-1110000000000000000001-1−ii-11i−i
χ50333-3-33-3-33−3i3i3-3−3i−3i3i3i-11-11000000000000i−iii−i−i-1-111000000000000000000-11i−i1-1−ii
χ5166666-3-3-3-366-3-3-3-3-3-3-2-2-2-2000000000000-2-21111111100000000000000000000000000
χ5266666-3-3-3-3-6-6-3-33333-2-2-2-200000000000022-1-1-1-1111100000000000000000000000000
χ53666-6-6-333-36i−6i-33−3i−3i3i3i-22-22000000000000−2i2iii−i−i11-1-100000000000000000000000000
χ54666-6-6-333-3−6i6i-333i3i−3i−3i-22-220000000000002i−2i−i−iii11-1-100000000000000000000000000
χ5566-66-6666600-6-600002-2-22000000000000000000-22-2200000000000000000000000000
χ5666-66-6-3-3-3-30033−3i33i3−3i33i32-2-2200000000000000i3−i3i3−i31-11-100000000000000000000000000
χ5766-66-6-3-3-3-300333i3−3i33i3−3i32-2-2200000000000000−i3i3−i3i31-11-100000000000000000000000000
χ5866-6-666-6-6600-66000022-2-2000000000000000000-222-200000000000000000000000000
χ5966-6-66-333-3003-333−33−333322-2-200000000000000−333−31-1-1100000000000000000000000000
χ6066-6-66-333-3003-3−333333−3322-2-2000000000000003−3−331-1-1100000000000000000000000000
χ618-8000800-8000000000000222-2-2-2−2i32i3−2i32i3−2i32i3000000000000000000000000000000000000
χ628-8000800-8000000000000222-2-2-22i3−2i32i3−2i32i3−2i3000000000000000000000000000000000000
χ638-8000800-8000000000000-4-4-4444000000000000000000000000000000000000000000
χ648-8000-4−4i34i3400000000000022-4-2-242i3−2i3−2i32i300000000000000000000000000000000000000
χ658-8000-4−4i34i340000000000002-42-24-2−2i32i3002i3−2i3000000000000000000000000000000000000
χ668-8000-4−4i34i34000000000000-4224-2-2002i3−2i3−2i32i3000000000000000000000000000000000000
χ678-8000-44i3−4i3400000000000022-4-2-24−2i32i32i3−2i300000000000000000000000000000000000000
χ688-8000-44i3−4i340000000000002-42-24-22i3−2i300−2i32i3000000000000000000000000000000000000
χ698-8000-44i3−4i34000000000000-4224-2-200−2i32i32i3−2i3000000000000000000000000000000000000

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