Finite Group Databasebeta

← Group #11922264

Character table — Group #11922264

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222266668888121212121212121212121616161618182424242424243636363611112222666688881212121212121212121216161616181824242424242436363636
order1244361212248836121244688121212121236121288242424242424248822446612122488661212446881212121212661212882424242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-11-1-11-1-1-1-1111111-1-11111-1-1-1-11111111111111111-1-11-1-11-1-1-1-1111111-1-11111-1-1-1-1
χ31111111111-1-1111111111111111111-1-111-1-1-1-1-1-1-1-11111111111-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1
χ41111111111-1-11111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-11111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511-1-111-1-1-11i−i11-1-1i−i-1i−i1ii−i−i11-1-1i−ii−iii−i−i1-11-111-1-111-1-1-11i−i11-1-1i−i-1i−i1ii−i−i11-1-1i−ii−iii−i−i1-11-1
χ611-1-111-1-1-11i−i11-1-1−ii-1−ii1−i−iii11-1-1i−i−iiii−i−i-11-1111-1-111-1-1-11i−i11-1-1−ii-1−ii1−i−iii11-1-1i−i−iiii−i−i-11-11
χ711-1-111-1-1-11−ii11-1-1i−i-1i−i1ii−i−i11-1-1−iii−i−i−iii-11-1111-1-111-1-1-11−ii11-1-1i−i-1i−i1ii−i−i11-1-1−iii−i−i−iii-11-11
χ811-1-111-1-1-11−ii11-1-1−ii-1−ii1−i−iii11-1-1−ii−ii−i−iii1-11-111-1-111-1-1-11−ii11-1-1−ii-1−ii1−i−iii11-1-1−ii−ii−i−iii1-11-1
χ9222222222222-1-1-1-10020020000-1-1-1-12200-1-1-1-10000222222222222-1-1-1-10020020000-1-1-1-12200-1-1-1-10000
χ102222222222-2-2-1-1-1-10020020000-1-1-1-1-2-200111100002222222222-2-2-1-1-1-10020020000-1-1-1-1-2-20011110000
χ112222-1-1-1-12200222222-122-1-1-1-1-1-1-1-1-100-1-1000000002222-1-1-1-12200222222-122-1-1-1-1-1-1-1-1-100-1-100000000
χ122222-1-1-1-122002222-2-2-1-2-2-11111-1-1-1-10011000000002222-1-1-1-122002222-2-2-1-2-2-11111-1-1-1-1001100000000
χ1322-2-222-2-2-222i−2i-1-11100-20020000-1-1112i−2i00−i−iii000022-2-222-2-2-222i−2i-1-11100-20020000-1-1112i−2i00−i−iii0000
χ1422-2-222-2-2-22−2i2i-1-11100-20020000-1-111−2i2i00ii−i−i000022-2-222-2-2-22−2i2i-1-11100-20020000-1-111−2i2i00ii−i−i0000
χ1522-2-2-1-111-220022-2-22i−2i12i−2i-1−i−iii-1-11100−ii0000000022-2-2-1-111-220022-2-22i−2i12i−2i-1−i−iii-1-11100−ii00000000
χ1622-2-2-1-111-220022-2-2−2i2i1−2i2i-1ii−i−i-1-11100i−i0000000022-2-2-1-111-220022-2-2−2i2i1−2i2i-1ii−i−i-1-11100i−i00000000
χ1733333333-1-133000011-1-1-1-111110000-1-1-1-10000-1-11133333333-1-133000011-1-1-1-111110000-1-1-1-10000-1-111
χ1833333333-1-1330000-1-1-111-1-1-1-1-10000-1-111000011-1-133333333-1-1330000-1-1-111-1-1-1-1-10000-1-111000011-1-1
χ1933333333-1-1-3-3000011-1-1-1-11111000011-1-1000011-1-133333333-1-1-3-3000011-1-1-1-11111000011-1-1000011-1-1
χ2033333333-1-1-3-30000-1-1-111-1-1-1-1-1000011110000-1-11133333333-1-1-3-30000-1-1-111-1-1-1-1-1000011110000-1-111
χ2133-3-333-3-31-13i−3i0000i−i1−ii-1ii−i−i0000−ii−ii0000-111-133-3-333-3-31-13i−3i0000i−i1−ii-1ii−i−i0000−ii−ii0000-111-1
χ2233-3-333-3-31-13i−3i0000−ii1i−i-1−i−iii0000−iii−i00001-1-1133-3-333-3-31-13i−3i0000−ii1i−i-1−i−iii0000−iii−i00001-1-11
χ2333-3-333-3-31-1−3i3i0000i−i1−ii-1ii−i−i0000i−i−ii00001-1-1133-3-333-3-31-1−3i3i0000i−i1−ii-1ii−i−i0000i−i−ii00001-1-11
χ2433-3-333-3-31-1−3i3i0000−ii1i−i-1−i−iii0000i−ii−i0000-111-133-3-333-3-31-1−3i3i0000−ii1i−i-1−i−iii0000i−ii−i0000-111-1
χ254444-2-2-2-24400-2-2-2-200-200-2000011110000000000004444-2-2-2-24400-2-2-2-200-200-200001111000000000000
χ2644-4-4-2-222-4400-2-22200200-2000011-1-100000000000044-4-4-2-222-4400-2-22200200-2000011-1-1000000000000
χ274-44i−4i4-44i−4i00001-1i−i00000000001-1i−i0000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ1300004-44i−4i4-44i−4i00001-1i−i00000000001-1i−i0000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000
χ284-44i−4i4-44i−4i00001-1i−i00000000001-1i−i0000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ1300004-44i−4i4-44i−4i00001-1i−i00000000001-1i−i0000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000
χ294-44i−4i4-44i−4i0000-22−2i2i0000000000-22−2i2i0000000000004-44i−4i4-44i−4i0000-22−2i2i0000000000-22−2i2i000000000000
χ304-44i−4i-22−2i2i0000-22−2i2i000000−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ221-1i−i0000000000004-44i−4i-22−2i2i0000-22−2i2i000000−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ221-1i−i000000000000
χ314-44i−4i-22−2i2i0000-22−2i2i000000ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ221-1i−i0000000000004-44i−4i-22−2i2i0000-22−2i2i000000ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ221-1i−i000000000000
χ324-4−4i4i4-4−4i4i00001-1−ii00000000001-1−ii0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ2300004-4−4i4i4-4−4i4i00001-1−ii00000000001-1−ii0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000
χ334-4−4i4i4-4−4i4i00001-1−ii00000000001-1−ii0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ2300004-4−4i4i4-4−4i4i00001-1−ii00000000001-1−ii0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000
χ344-4−4i4i4-4−4i4i0000-222i−2i0000000000-222i−2i0000000000004-4−4i4i4-4−4i4i0000-222i−2i0000000000-222i−2i000000000000
χ354-4−4i4i-222i−2i0000-222i−2i000000−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ221-1−ii0000000000004-4−4i4i-222i−2i0000-222i−2i000000−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ221-1−ii000000000000
χ364-4−4i4i-222i−2i0000-222i−2i000000ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ221-1−ii0000000000004-4−4i4i-222i−2i0000-222i−2i000000ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ221-1−ii000000000000
χ376666-3-3-3-3-2-2000000221-2-21-1-1-1-100000011000000006666-3-3-3-3-2-2000000221-2-21-1-1-1-10000001100000000
χ386666-3-3-3-3-2-2000000-2-212211111000000-1-1000000006666-3-3-3-3-2-2000000-2-212211111000000-1-100000000
χ3966-6-6-3-3332-20000002i−2i-1−2i2i1−i−iii000000i−i0000000066-6-6-3-3332-20000002i−2i-1−2i2i1−i−iii000000i−i00000000
χ4066-6-6-3-3332-2000000−2i2i-12i−2i1ii−i−i000000−ii0000000066-6-6-3-3332-2000000−2i2i-12i−2i1ii−i−i000000−ii00000000
χ418-88i−8i-44−4i4i00002-22i−2i0000000000-11−ii0000000000008-88i−8i-44−4i4i00002-22i−2i0000000000-11−ii000000000000
χ428-8−8i8i-444i−4i00002-2−2i2i0000000000-11i−i0000000000008-8−8i8i-444i−4i00002-2−2i2i0000000000-11i−i000000000000
χ43111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ441111111111111111-1-11-1-11-1-1-1-1111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-1-1-1-1-111-1-1-1-11111
χ451111111111-1-1111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111111111
χ461111111111-1-11111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111-111-11111-1-1-1-111111111-1-1-1-1
χ4711-1-111-1-1-11i−i11-1-1i−i-1i−i1ii−i−i11-1-1i−ii−iii−i−i1-11-1-1-111-1-1111-1−ii-1-111−ii1−ii-1−i−iii-1-111−ii−ii−i−iii-11-11
χ4811-1-111-1-1-11i−i11-1-1−ii-1−ii1−i−iii11-1-1i−i−iiii−i−i-11-11-1-111-1-1111-1−ii-1-111i−i1i−i-1ii−i−i-1-111−iii−i−i−iii1-11-1
χ4911-1-111-1-1-11−ii11-1-1i−i-1i−i1ii−i−i11-1-1−iii−i−i−iii-11-11-1-111-1-1111-1i−i-1-111−ii1−ii-1−i−iii-1-111i−i−iiii−i−i1-11-1
χ5011-1-111-1-1-11−ii11-1-1−ii-1−ii1−i−iii11-1-1−ii−ii−i−iii1-11-1-1-111-1-1111-1i−i-1-111i−i1i−i-1ii−i−i-1-111i−ii−iii−i−i-11-11
χ51222222222222-1-1-1-10020020000-1-1-1-12200-1-1-1-10000-2-2-2-2-2-2-2-2-2-2-2-2111100-200-200001111-2-20011110000
χ522222222222-2-2-1-1-1-10020020000-1-1-1-1-2-20011110000-2-2-2-2-2-2-2-2-2-222111100-200-2000011112200-1-1-1-10000
χ532222-1-1-1-12200222222-122-1-1-1-1-1-1-1-1-100-1-100000000-2-2-2-21111-2-200-2-2-2-2-2-21-2-2111111111001100000000
χ542222-1-1-1-122002222-2-2-1-2-2-11111-1-1-1-1001100000000-2-2-2-21111-2-200-2-2-2-2221221-1-1-1-1111100-1-100000000
χ5522-2-222-2-2-222i−2i-1-11100-20020000-1-1112i−2i00−i−iii0000-2-222-2-2222-2−2i2i11-1-100200-2000011-1-1−2i2i00ii−i−i0000
χ5622-2-222-2-2-22−2i2i-1-11100-20020000-1-111−2i2i00ii−i−i0000-2-222-2-2222-22i−2i11-1-100200-2000011-1-12i−2i00−i−iii0000
χ5722-2-2-1-111-220022-2-22i−2i12i−2i-1−i−iii-1-11100−ii00000000-2-22211-1-12-200-2-222−2i2i-1−2i2i1ii−i−i11-1-100i−i00000000
χ5822-2-2-1-111-220022-2-2−2i2i1−2i2i-1ii−i−i-1-11100i−i00000000-2-22211-1-12-200-2-2222i−2i-12i−2i1−i−iii11-1-100−ii00000000
χ5933333333-1-133000011-1-1-1-111110000-1-1-1-10000-1-111-3-3-3-3-3-3-3-311-3-30000-1-11111-1-1-1-100001111000011-1-1
χ6033333333-1-1330000-1-1-111-1-1-1-1-10000-1-111000011-1-1-3-3-3-3-3-3-3-311-3-30000111-1-111111000011-1-10000-1-111
χ6133333333-1-1-3-3000011-1-1-1-11111000011-1-1000011-1-1-3-3-3-3-3-3-3-311330000-1-11111-1-1-1-10000-1-1110000-1-111
χ6233333333-1-1-3-30000-1-1-111-1-1-1-1-1000011110000-1-111-3-3-3-3-3-3-3-311330000111-1-1111110000-1-1-1-1000011-1-1
χ6333-3-333-3-31-13i−3i0000i−i1−ii-1ii−i−i0000−ii−ii0000-111-1-3-333-3-333-11−3i3i0000−ii-1i−i1−i−iii0000i−ii−i00001-1-11
χ6433-3-333-3-31-13i−3i0000−ii1i−i-1−i−iii0000−iii−i00001-1-11-3-333-3-333-11−3i3i0000i−i-1−ii1ii−i−i0000i−i−ii0000-111-1
χ6533-3-333-3-31-1−3i3i0000i−i1−ii-1ii−i−i0000i−i−ii00001-1-11-3-333-3-333-113i−3i0000−ii-1i−i1−i−iii0000−iii−i0000-111-1
χ6633-3-333-3-31-1−3i3i0000−ii1i−i-1−i−iii0000i−ii−i0000-111-1-3-333-3-333-113i−3i0000i−i-1−ii1ii−i−i0000−ii−ii00001-1-11
χ674444-2-2-2-24400-2-2-2-200-200-200001111000000000000-4-4-4-42222-4-40022220020020000-1-1-1-1000000000000
χ6844-4-4-2-222-4400-2-22200200-2000011-1-1000000000000-4-44422-2-24-40022-2-200-20020000-1-111000000000000
χ694-44i−4i4-44i−4i00001-1i−i00000000001-1i−i0000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000-44−4i4i-44−4i4i0000-11−ii0000000000-11−ii0000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000
χ704-44i−4i4-44i−4i00001-1i−i00000000001-1i−i0000ζ7−ζ23−ζ7+ζ23−ζ5+ζ13ζ5−ζ130000-44−4i4i-44−4i4i0000-11−ii0000000000-11−ii0000−ζ7+ζ23ζ7−ζ23ζ5−ζ13−ζ5+ζ130000
χ714-44i−4i4-44i−4i0000-22−2i2i0000000000-22−2i2i000000000000-44−4i4i-44−4i4i00002-22i−2i00000000002-22i−2i000000000000
χ724-44i−4i-22−2i2i0000-22−2i2i000000−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ221-1i−i000000000000-44−4i4i2-22i−2i00002-22i−2i000000ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22-11−ii000000000000
χ734-44i−4i-22−2i2i0000-22−2i2i000000ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ221-1i−i000000000000-44−4i4i2-22i−2i00002-22i−2i000000−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22-11−ii000000000000
χ744-4−4i4i4-4−4i4i00001-1−ii00000000001-1−ii0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000-444i−4i-444i−4i0000-11i−i0000000000-11i−i0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000
χ754-4−4i4i4-4−4i4i00001-1−ii00000000001-1−ii0000−ζ5+ζ13ζ5−ζ13ζ7−ζ23−ζ7+ζ230000-444i−4i-444i−4i0000-11i−i0000000000-11i−i0000ζ5−ζ13−ζ5+ζ13−ζ7+ζ23ζ7−ζ230000
χ764-4−4i4i4-4−4i4i0000-222i−2i0000000000-222i−2i000000000000-444i−4i-444i−4i00002-2−2i2i00000000002-2−2i2i000000000000
χ774-4−4i4i-222i−2i0000-222i−2i000000−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ221-1−ii000000000000-444i−4i2-2−2i2i00002-2−2i2i000000ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ22-11i−i000000000000
χ784-4−4i4i-222i−2i0000-222i−2i000000ζ4−ζ14−ζ20+ζ22−ζ4+ζ14+ζ20−ζ22ζ4+ζ14−ζ20−ζ22−ζ4−ζ14+ζ20+ζ221-1−ii000000000000-444i−4i2-2−2i2i00002-2−2i2i000000−ζ4+ζ14+ζ20−ζ22ζ4−ζ14−ζ20+ζ22−ζ4−ζ14+ζ20+ζ22ζ4+ζ14−ζ20−ζ22-11i−i000000000000
χ796666-3-3-3-3-2-2000000221-2-21-1-1-1-10000001100000000-6-6-6-6333322000000-2-2-122-11111000000-1-100000000
χ806666-3-3-3-3-2-2000000-2-212211111000000-1-100000000-6-6-6-633332200000022-1-2-2-1-1-1-1-10000001100000000
χ8166-6-6-3-3332-20000002i−2i-1−2i2i1−i−iii000000i−i00000000-6-66633-3-3-22000000−2i2i12i−2i-1ii−i−i000000−ii00000000
χ8266-6-6-3-3332-2000000−2i2i-12i−2i1ii−i−i000000−ii00000000-6-66633-3-3-220000002i−2i1−2i2i-1−i−iii000000i−i00000000
χ838-88i−8i-44−4i4i00002-22i−2i0000000000-11−ii000000000000-88−8i8i4-44i−4i0000-22−2i2i00000000001-1i−i000000000000
χ848-8−8i8i-444i−4i00002-2−2i2i0000000000-11i−i000000000000-888i−8i4-4−4i4i0000-222i−2i00000000001-1−ii000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.