Finite Group Databasebeta

← Group #11921653

Character table — Group #11921653

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111111122222222666666668888888812121212121212121212121212121212161616161616161624242424242424242424242424243636363636367272
order1222444436661212121244444444366612121212888812121212242424242424242436661212121224661212121212121212121224888824
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ3111111111111111111-1-1-1-11111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ4111111111111111111-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111
χ51111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-111-1-11111-1-1-1-11-111-1-1-11
χ61111-1-1-1-11111-1-1-1-1-1-111-1-1111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-11-1-1111111-1-1-1-11-1-1-1111-1
χ71111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-1-1-11-111-1-1-1-1-1-11111-11-1-1111-1
χ81111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-1-11-1-111-1-1-1-11111-1111-1-1-11
χ9222222222222222222222222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-1000000-1-1-1-1-1-1-1-122000000
χ10222222222222222222-2-2-2-222-1-1-1-1-1-1-1-10000222200000000-1-1-1-1-1-1-1-100000011111111-2-2000000
χ1122222222-1-1-1-1-1-1-1-122000022222222222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122-1-1-1-10000000000000000
χ1222222222-1-1-1-1-1-1-1-12200002222222222-2-2-2-2-1-1-1-111111111-1-1-1-1-1-1-1-1-2-211110000000000000000
χ132222-2-2-2-22222-2-2-2-2-2-222-2-222-1-1-1-111110000-2-22200000000-1-1-1-11111000000-1-1-1-111112-2000000
χ142222-2-2-2-22222-2-2-2-2-2-2-2-22222-1-1-1-111110000-2-22200000000-1-1-1-111110000001111-1-1-1-1-22000000
χ152222-2-2-2-2-1-1-1-11111-2-20000222222-2-2-2-222-2-211-1-1-1-1-1-11111-1-1-1-111112-2-1-1110000000000000000
χ162222-2-2-2-2-1-1-1-11111-2-20000222222-2-2-2-2-2-22211-1-11111-1-1-1-1-1-1-1-11111-2211-1-10000000000000000
χ1722-2-22i2i−2i−2i22-2-22i2i−2i−2i002i−2i2-200-111-1ii−i−i−i2i22−20000−i2−i2i2i222−2−2-11-11ii−i−i000000ii−i−i11-1-1002−2−i2i200
χ1822-2-22i2i−2i−2i22-2-22i2i−2i−2i002i−2i2-200-111-1ii−i−ii2−i2−220000i2i2−i2−i2−2−222-11-11ii−i−i000000ii−i−i11-1-100−22i2−i200
χ1922-2-22i2i−2i−2i22-2-22i2i−2i−2i00−2i2i-2200-111-1ii−i−i−i2i22−20000−i2−i2i2i222−2−2-11-11ii−i−i000000−i−iii-1-11100−22i2−i200
χ2022-2-22i2i−2i−2i22-2-22i2i−2i−2i00−2i2i-2200-111-1ii−i−ii2−i2−220000i2i2−i2−i2−2−222-11-11ii−i−i000000−i−iii-1-111002−2−i2i200
χ2122-2-2−2i−2i2i2i22-2-2−2i−2i2i2i002i−2i-2200-111-1−i−iii−i2i2−220000−i2−i2i2i2−2−222-11-11−i−iii000000ii−i−i-1-111002−2i2−i200
χ2222-2-2−2i−2i2i2i22-2-2−2i−2i2i2i002i−2i-2200-111-1−i−iiii2−i22−20000i2i2−i2−i222−2−2-11-11−i−iii000000ii−i−i-1-11100−22−i2i200
χ2322-2-2−2i−2i2i2i22-2-2−2i−2i2i2i00−2i2i2-200-111-1−i−iii−i2i2−220000−i2−i2i2i2−2−222-11-11−i−iii000000−i−iii11-1-100−22−i2i200
χ2422-2-2−2i−2i2i2i22-2-2−2i−2i2i2i00−2i2i2-200-111-1−i−iiii2−i22−20000i2i2−i2−i222−2−2-11-11−i−iii000000−i−iii11-1-1002−2i2−i200
χ252-22-22i−2i2i−2i2-22-22i−2i2i−2i2i−2i00002-22-22-22i−2i2i−2i00002i−2i2-20000000022-2-22i−2i2i−2i0000000000000000000000
χ262-22-22i−2i2i−2i2-22-22i−2i2i−2i2i−2i00002-2-11-11−ii−ii00002i−2i2-200000000-1-111−ii−ii000000−i3i3−i3i33−33−300000000
χ272-22-22i−2i2i−2i2-22-22i−2i2i−2i2i−2i00002-2-11-11−ii−ii00002i−2i2-200000000-1-111−ii−ii000000i3−i3i3−i3−33−3300000000
χ282-22-22i−2i2i−2i-11-11−ii−ii2i−2i00002-22-22-22i−2i2i−2i0000−ii-11−i3i3−i3i33−33−3-1-111−ii−ii00−i3i33−30000000000000000
χ292-22-22i−2i2i−2i-11-11−ii−ii2i−2i00002-22-22-22i−2i2i−2i0000−ii-11i3−i3i3−i3−33−33-1-111−ii−ii00i3−i3−330000000000000000
χ302-22-2−2i2i−2i2i2-22-2−2i2i−2i2i−2i2i00002-22-22-2−2i2i−2i2i0000−2i2i2-20000000022-2-2−2i2i−2i2i0000000000000000000000
χ312-22-2−2i2i−2i2i2-22-2−2i2i−2i2i−2i2i00002-2-11-11i−ii−i0000−2i2i2-200000000-1-111i−ii−i000000−i3i3−i3i3−33−3300000000
χ322-22-2−2i2i−2i2i2-22-2−2i2i−2i2i−2i2i00002-2-11-11i−ii−i0000−2i2i2-200000000-1-111i−ii−i000000i3−i3i3−i33−33−300000000
χ332-22-2−2i2i−2i2i-11-11i−ii−i−2i2i00002-22-22-2−2i2i−2i2i0000i−i-11−i3i3−i3i3−33−33-1-111i−ii−i00−i3i3−330000000000000000
χ342-22-2−2i2i−2i2i-11-11i−ii−i−2i2i00002-22-22-2−2i2i−2i2i0000i−i-11i3−i3i3−i33−33−3-1-111i−ii−i00i3−i33−30000000000000000
χ353333333333333333-1-13333-1-1000000001111-1-1-1-11111111100000000-1-1-1-1-1-100000000-1-11111-1-1
χ363333333333333333-1-13333-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011111100000000-1-1-1-1-1-111
χ373333333333333333-1-1-3-3-3-3-1-1000000001111-1-1-1-11111111100000000-1-1-1-1-1-10000000011-1-1-1-111
χ383333333333333333-1-1-3-3-3-3-1-100000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000011111100000000111111-1-1
χ393333-3-3-3-33333-3-3-3-31133-3-3-1-10000000011-1-111-1-11111-1-1-1-100000000-11-1-11100000000-1111-1-11-1
χ403333-3-3-3-33333-3-3-3-31133-3-3-1-100000000-1-11111-1-1-1-1-1-11111000000001-111-1-100000000-11-1-111-11
χ413333-3-3-3-33333-3-3-3-311-3-333-1-10000000011-1-111-1-11111-1-1-1-100000000-11-1-111000000001-1-1-111-11
χ423333-3-3-3-33333-3-3-3-311-3-333-1-100000000-1-11111-1-1-1-1-1-11111000000001-111-1-1000000001-111-1-11-1
χ4344444444-2-2-2-2-2-2-2-244000044-2-2-2-2-2-2-2-20000-2-2-2-200000000111111110000000000000000000000
χ444444-4-4-4-4-2-2-2-22222-4-4000044-2-2-2-22222000022-2-2000000001111-1-1-1-10000000000000000000000
χ4544-4-44i4i−4i−4i44-4-44i4i−4i−4i004i−4i4-4001-1-11−i−iii00000000000000001-11-1−i−iii000000−i−iii-1-11100000000
χ4644-4-44i4i−4i−4i44-4-44i4i−4i−4i00−4i4i-44001-1-11−i−iii00000000000000001-11-1−i−iii000000ii−i−i11-1-100000000
χ4744-4-44i4i−4i−4i-2-222−2i−2i2i2i00000000-222-22i2i−2i−2i−2i22i222−220000i2i2−i2−i2−2−2221-11-1−i−iii0000000000000000000000
χ4844-4-44i4i−4i−4i-2-222−2i−2i2i2i00000000-222-22i2i−2i−2i2i2−2i2−22220000−i2−i2i2i222−2−21-11-1−i−iii0000000000000000000000
χ4944-4-4−4i−4i4i4i44-4-4−4i−4i4i4i004i−4i-44001-1-11ii−i−i00000000000000001-11-1ii−i−i000000−i−iii11-1-100000000
χ5044-4-4−4i−4i4i4i44-4-4−4i−4i4i4i00−4i4i4-4001-1-11ii−i−i00000000000000001-11-1ii−i−i000000ii−i−i-1-11100000000
χ5144-4-4−4i−4i4i4i-2-2222i2i−2i−2i00000000-222-2−2i−2i2i2i−2i22i2−22220000i2i2−i2−i222−2−21-11-1ii−i−i0000000000000000000000
χ5244-4-4−4i−4i4i4i-2-2222i2i−2i−2i00000000-222-2−2i−2i2i2i2i2−2i222−220000−i2−i2i2i2−2−2221-11-1ii−i−i0000000000000000000000
χ534-44-44i−4i4i−4i-22-22−2i2i−2i2i4i−4i00004-4-22-22−2i2i−2i2i0000−2i2i-220000000011-1-1i−ii−i0000000000000000000000
χ544-44-4−4i4i−4i4i-22-222i−2i2i−2i−4i4i00004-4-22-222i−2i2i−2i00002i−2i-220000000011-1-1−ii−ii0000000000000000000000
χ554-4-444-4-444-4-444-4-440000000011-1-1-111-100000000000000001-1-11-111-10000003−3−33−333−300000000
χ564-4-444-4-444-4-444-4-440000000011-1-1-111-100000000000000001-1-11-111-1000000−333−33−3−3300000000
χ574-4-444-4-444-4-444-4-4400000000-2-2222-2-220000000000000000-222-22-2-220000000000000000000000
χ584-4-444-4-44-222-2-222-200000000-2-2222-2-22000000006−6−666−6−661-1-11-111-10000000000000000000000
χ594-4-444-4-44-222-2-222-200000000-2-2222-2-2200000000−666−6−666−61-1-11-111-10000000000000000000000
χ604-4-44-444-44-4-44-444-40000000011-1-11-1-1100000000000000001-1-111-1-110000003−3−333−3−3300000000
χ614-4-44-444-44-4-44-444-40000000011-1-11-1-1100000000000000001-1-111-1-11000000−333−3−333−300000000
χ624-4-44-444-44-4-44-444-400000000-2-222-222-20000000000000000-222-2-222-20000000000000000000000
χ634-4-44-444-4-222-22-2-2200000000-2-222-222-2000000006−6−66−666−61-1-111-1-110000000000000000000000
χ644-4-44-444-4-222-22-2-2200000000-2-222-222-200000000−666−66−6−661-1-111-1-110000000000000000000000
χ6566666666-3-3-3-3-3-3-3-3-2-20000-2-20000000022221111-1-1-1-1-1-1-1-100000000-2-211110000000000000000
χ6666666666-3-3-3-3-3-3-3-3-2-20000-2-200000000-2-2-2-21111111111110000000022-1-1-1-10000000000000000
χ676666-6-6-6-6-3-3-3-33333220000-2-20000000022-2-2-1-111-1-1-1-1111100000000-2211-1-10000000000000000
χ686666-6-6-6-6-3-3-3-33333220000-2-200000000-2-222-1-1111111-1-1-1-1000000002-2-1-1110000000000000000
χ696-66-66i−6i6i−6i6-66-66i−6i6i−6i−2i2i0000-22000000000000−2i2i-2200000000000000000000000000000000000000
χ706-66-66i−6i6i−6i-33-33−3i3i−3i3i−2i2i0000-22000000000000i−i1-1−i3i3−i3i33−33−30000000000i3−i3−330000000000000000
χ716-66-66i−6i6i−6i-33-33−3i3i−3i3i−2i2i0000-22000000000000i−i1-1i3−i3i3−i3−33−330000000000−i3i33−30000000000000000
χ726-66-6−6i6i−6i6i6-66-6−6i6i−6i6i2i−2i0000-220000000000002i−2i-2200000000000000000000000000000000000000
χ736-66-6−6i6i−6i6i-33-333i−3i3i−3i2i−2i0000-22000000000000−ii1-1−i3i3−i3i3−33−330000000000i3−i33−30000000000000000
χ746-66-6−6i6i−6i6i-33-333i−3i3i−3i2i−2i0000-22000000000000−ii1-1i3−i3i3−i33−33−30000000000−i3i3−330000000000000000
χ7588-8-88i8i−8i−8i-4-444−4i−4i4i4i000000002-2-22−2i−2i2i2i0000000000000000-11-11ii−i−i0000000000000000000000
χ7688-8-8−8i−8i8i8i-4-4444i4i−4i−4i000000002-2-222i2i−2i−2i0000000000000000-11-11−i−iii0000000000000000000000
χ778-8-888-8-88-444-4-444-40000000022-2-2-222-20000000000000000-111-11-1-110000000000000000000000
χ788-8-88-888-8-444-44-4-440000000022-2-22-2-220000000000000000-111-1-111-10000000000000000000000

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