Finite Group Databasebeta

← Group #11922278

Character table — Group #11922278

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size1111222266668888121212121212121212121616161618182424242424243636363611112222666688881212121212121212121216161616181824242424242436363636
order124436121222443612124468812121212123612122466121224244488224466121222446612124468812121212126612122466121224244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111-1-11-1-11-1-1-1-11111111111-1-1-1-1-1-11111111111111111-1-11-1-11-1-1-1-11111111111-1-1-1-1-1-1
χ311111111-111-1111111111111111111-1-1-1-1-1-111-1-1-1-111111111-111-1111111111111111111-1-1-1-1-1-111-1-1-1-1
χ411111111-111-11111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-111-11111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111
χ511-1-111-1-11-11-111-1-1i−i-1i−i1ii−i−i11-1-1-1111-1-1i−ii−ii−i11-1-111-1-11-11-111-1-1i−i-1i−i1ii−i−i11-1-1-1111-1-1i−ii−ii−i
χ611-1-111-1-11-11-111-1-1−ii-1−ii1−i−iii11-1-1-1111-1-1−ii−ii−ii11-1-111-1-11-11-111-1-1−ii-1−ii1−i−iii11-1-1-1111-1-1−ii−ii−ii
χ711-1-111-1-1-1-11111-1-1i−i-1i−i1ii−i−i11-1-11-1-1-111i−i−ii−ii11-1-111-1-1-1-11111-1-1i−i-1i−i1ii−i−i11-1-11-1-1-111i−i−ii−ii
χ811-1-111-1-1-1-11111-1-1−ii-1−ii1−i−iii11-1-11-1-1-111−iii−ii−i11-1-111-1-1-1-11111-1-1−ii-1−ii1−i−iii11-1-11-1-1-111−iii−ii−i
χ9222222222222-1-1-1-10020020000-1-1-1-122-1-1-1-1000000222222222222-1-1-1-10020020000-1-1-1-122-1-1-1-1000000
χ1022222222-222-2-1-1-1-10020020000-1-1-1-1-2-2111100000022222222-222-2-1-1-1-10020020000-1-1-1-1-2-21111000000
χ112222-1-1-1-10220222222-122-1-1-1-1-1-1-1-1-1000000-1-100002222-1-1-1-10220222222-122-1-1-1-1-1-1-1-1-1000000-1-10000
χ122222-1-1-1-102202222-2-2-1-2-2-11111-1-1-1-10000001100002222-1-1-1-102202222-2-2-1-2-2-11111-1-1-1-1000000110000
χ1322-2-222-2-22-22-2-1-11100-20020000-1-111-22-1-11100000022-2-222-2-22-22-2-1-11100-20020000-1-111-22-1-111000000
χ1422-2-222-2-2-2-222-1-11100-20020000-1-1112-211-1-100000022-2-222-2-2-2-222-1-11100-20020000-1-1112-211-1-1000000
χ1522-2-2-1-1110-22022-2-22i−2i12i−2i-1−i−iii-1-111000000−ii000022-2-2-1-1110-22022-2-22i−2i12i−2i-1−i−iii-1-111000000−ii0000
χ1622-2-2-1-1110-22022-2-2−2i2i1−2i2i-1ii−i−i-1-111000000i−i000022-2-2-1-1110-22022-2-2−2i2i1−2i2i-1ii−i−i-1-111000000i−i0000
χ17333333333-1-13000011-1-1-1-111110000-1-10000-1-111-1-1333333333-1-13000011-1-1-1-111110000-1-10000-1-111-1-1
χ18333333333-1-130000-1-1-111-1-1-1-1-10000-1-1000011-1-111333333333-1-130000-1-1-111-1-1-1-1-10000-1-1000011-1-111
χ1933333333-3-1-1-3000011-1-1-1-111110000110000-1-1-1-11133333333-3-1-1-3000011-1-1-1-111110000110000-1-1-1-111
χ2033333333-3-1-1-30000-1-1-111-1-1-1-1-100001100001111-1-133333333-3-1-1-30000-1-1-111-1-1-1-1-100001100001111-1-1
χ2133-3-333-3-331-1-30000i−i1−ii-1ii−i−i00001-10000−iii−i−ii33-3-333-3-331-1-30000i−i1−ii-1ii−i−i00001-10000−iii−i−ii
χ2233-3-333-3-331-1-30000−ii1i−i-1−i−iii00001-10000i−i−iii−i33-3-333-3-331-1-30000−ii1i−i-1−i−iii00001-10000i−i−iii−i
χ2333-3-333-3-3-31-130000i−i1−ii-1ii−i−i0000-110000−ii−iii−i33-3-333-3-3-31-130000i−i1−ii-1ii−i−i0000-110000−ii−iii−i
χ2433-3-333-3-3-31-130000−ii1i−i-1−i−iii0000-110000i−ii−i−ii33-3-333-3-3-31-130000−ii1i−i-1−i−iii0000-110000i−ii−i−ii
χ254444-2-2-2-20440-2-2-2-200-200-2000011110000000000004444-2-2-2-20440-2-2-2-200-200-200001111000000000000
χ2644-4-4-2-2220-440-2-22200200-2000011-1-100000000000044-4-4-2-2220-440-2-22200200-2000011-1-1000000000000
χ274-44i−4i4-44i−4i00001-1i−i00000000001-1i−i00−i3i33−30000004-44i−4i4-44i−4i00001-1i−i00000000001-1i−i00−i3i33−3000000
χ284-44i−4i4-44i−4i00001-1i−i00000000001-1i−i00i3−i3−330000004-44i−4i4-44i−4i00001-1i−i00000000001-1i−i00i3−i3−33000000
χ294-44i−4i4-44i−4i0000-22−2i2i0000000000-22−2i2i0000000000004-44i−4i4-44i−4i0000-22−2i2i0000000000-22−2i2i000000000000
χ304-44i−4i-22−2i2i0000-22−2i2i000000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ111-1i−i0000000000004-44i−4i-22−2i2i0000-22−2i2i000000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ111-1i−i000000000000
χ314-44i−4i-22−2i2i0000-22−2i2i000000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ111-1i−i0000000000004-44i−4i-22−2i2i0000-22−2i2i000000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ111-1i−i000000000000
χ324-4−4i4i4-4−4i4i00001-1−ii00000000001-1−ii00−i3i3−330000004-4−4i4i4-4−4i4i00001-1−ii00000000001-1−ii00−i3i3−33000000
χ334-4−4i4i4-4−4i4i00001-1−ii00000000001-1−ii00i3−i33−30000004-4−4i4i4-4−4i4i00001-1−ii00000000001-1−ii00i3−i33−3000000
χ344-4−4i4i4-4−4i4i0000-222i−2i0000000000-222i−2i0000000000004-4−4i4i4-4−4i4i0000-222i−2i0000000000-222i−2i000000000000
χ354-4−4i4i-222i−2i0000-222i−2i000000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ111-1−ii0000000000004-4−4i4i-222i−2i0000-222i−2i000000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ111-1−ii000000000000
χ364-4−4i4i-222i−2i0000-222i−2i000000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ111-1−ii0000000000004-4−4i4i-222i−2i0000-222i−2i000000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ111-1−ii000000000000
χ376666-3-3-3-30-2-200000221-2-21-1-1-1-100000000001100006666-3-3-3-30-2-200000221-2-21-1-1-1-10000000000110000
χ386666-3-3-3-30-2-200000-2-2122111110000000000-1-100006666-3-3-3-30-2-200000-2-2122111110000000000-1-10000
χ3966-6-6-3-33302-2000002i−2i-1−2i2i1−i−iii0000000000i−i000066-6-6-3-33302-2000002i−2i-1−2i2i1−i−iii0000000000i−i0000
χ4066-6-6-3-33302-200000−2i2i-12i−2i1ii−i−i0000000000−ii000066-6-6-3-33302-200000−2i2i-12i−2i1ii−i−i0000000000−ii0000
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
χ441111111111111111-1-11-1-11-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-111-11111-1-1-1-1-1-1-1-1-1-1111111
χ4511111111-111-1111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111
χ4611111111-111-11111-1-11-1-11-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-1-11-1-1-1-111-111-11111-1-1-1-111111111-1-1-1-1
χ4711-1-111-1-11-11-111-1-1i−i-1i−i1ii−i−i11-1-1-1111-1-1i−ii−ii−i-1-111-1-111-11-11-1-111−ii1−ii-1−i−iii-1-1111-1-1-111−ii−ii−ii
χ4811-1-111-1-11-11-111-1-1−ii-1−ii1−i−iii11-1-1-1111-1-1−ii−ii−ii-1-111-1-111-11-11-1-111i−i1i−i-1ii−i−i-1-1111-1-1-111i−ii−ii−i
χ4911-1-111-1-1-1-11111-1-1i−i-1i−i1ii−i−i11-1-11-1-1-111i−i−ii−ii-1-111-1-11111-1-1-1-111−ii1−ii-1−i−iii-1-111-1111-1-1−iii−ii−i
χ5011-1-111-1-1-1-11111-1-1−ii-1−ii1−i−iii11-1-11-1-1-111−iii−ii−i-1-111-1-11111-1-1-1-111i−i1i−i-1ii−i−i-1-111-1111-1-1i−i−ii−ii
χ51222222222222-1-1-1-10020020000-1-1-1-122-1-1-1-1000000-2-2-2-2-2-2-2-2-2-2-2-2111100-200-200001111-2-21111000000
χ5222222222-222-2-1-1-1-10020020000-1-1-1-1-2-21111000000-2-2-2-2-2-2-2-22-2-22111100-200-20000111122-1-1-1-1000000
χ532222-1-1-1-10220222222-122-1-1-1-1-1-1-1-1-1000000-1-10000-2-2-2-211110-2-20-2-2-2-2-2-21-2-2111111111000000110000
χ542222-1-1-1-102202222-2-2-1-2-2-11111-1-1-1-1000000110000-2-2-2-211110-2-20-2-2-2-2221221-1-1-1-11111000000-1-10000
χ5522-2-222-2-22-22-2-1-11100-20020000-1-111-22-1-111000000-2-222-2-222-22-2211-1-100200-2000011-1-12-211-1-1000000
χ5622-2-222-2-2-2-222-1-11100-20020000-1-1112-211-1-1000000-2-222-2-22222-2-211-1-100200-2000011-1-1-22-1-111000000
χ5722-2-2-1-1110-22022-2-22i−2i12i−2i-1−i−iii-1-111000000−ii0000-2-22211-1-102-20-2-222−2i2i-1−2i2i1ii−i−i11-1-1000000i−i0000
χ5822-2-2-1-1110-22022-2-2−2i2i1−2i2i-1ii−i−i-1-111000000i−i0000-2-22211-1-102-20-2-2222i−2i-12i−2i1−i−iii11-1-1000000−ii0000
χ59333333333-1-13000011-1-1-1-111110000-1-10000-1-111-1-1-3-3-3-3-3-3-3-3-311-30000-1-11111-1-1-1-1000011000011-1-111
χ60333333333-1-130000-1-1-111-1-1-1-1-10000-1-1000011-1-111-3-3-3-3-3-3-3-3-311-30000111-1-1111110000110000-1-111-1-1
χ6133333333-3-1-1-3000011-1-1-1-111110000110000-1-1-1-111-3-3-3-3-3-3-3-331130000-1-11111-1-1-1-10000-1-100001111-1-1
χ6233333333-3-1-1-30000-1-1-111-1-1-1-1-100001100001111-1-1-3-3-3-3-3-3-3-331130000111-1-1111110000-1-10000-1-1-1-111
χ6333-3-333-3-331-1-30000i−i1−ii-1ii−i−i00001-10000−iii−i−ii-3-333-3-333-3-1130000−ii-1i−i1−i−iii0000-110000i−i−iii−i
χ6433-3-333-3-331-1-30000−ii1i−i-1−i−iii00001-10000i−i−iii−i-3-333-3-333-3-1130000i−i-1−ii1ii−i−i0000-110000−iii−i−ii
χ6533-3-333-3-3-31-130000i−i1−ii-1ii−i−i0000-110000−ii−iii−i-3-333-3-3333-11-30000−ii-1i−i1−i−iii00001-10000i−ii−i−ii
χ6633-3-333-3-3-31-130000−ii1i−i-1−i−iii0000-110000i−ii−i−ii-3-333-3-3333-11-30000i−i-1−ii1ii−i−i00001-10000−ii−iii−i
χ674444-2-2-2-20440-2-2-2-200-200-200001111000000000000-4-4-4-422220-4-4022220020020000-1-1-1-1000000000000
χ6844-4-4-2-2220-440-2-22200200-2000011-1-1000000000000-4-44422-2-204-4022-2-200-20020000-1-111000000000000
χ694-44i−4i4-44i−4i00001-1i−i00000000001-1i−i00−i3i33−3000000-44−4i4i-44−4i4i0000-11−ii0000000000-11−ii00i3−i3−33000000
χ704-44i−4i4-44i−4i00001-1i−i00000000001-1i−i00i3−i3−33000000-44−4i4i-44−4i4i0000-11−ii0000000000-11−ii00−i3i33−3000000
χ714-44i−4i4-44i−4i0000-22−2i2i0000000000-22−2i2i000000000000-44−4i4i-44−4i4i00002-22i−2i00000000002-22i−2i000000000000
χ724-44i−4i-22−2i2i0000-22−2i2i000000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ111-1i−i000000000000-44−4i4i2-22i−2i00002-22i−2i000000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11-11−ii000000000000
χ734-44i−4i-22−2i2i0000-22−2i2i000000ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ111-1i−i000000000000-44−4i4i2-22i−2i00002-22i−2i000000−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11-11−ii000000000000
χ744-4−4i4i4-4−4i4i00001-1−ii00000000001-1−ii00−i3i3−33000000-444i−4i-444i−4i0000-11i−i0000000000-11i−i00i3−i33−3000000
χ754-4−4i4i4-4−4i4i00001-1−ii00000000001-1−ii00i3−i33−3000000-444i−4i-444i−4i0000-11i−i0000000000-11i−i00−i3i3−33000000
χ764-4−4i4i4-4−4i4i0000-222i−2i0000000000-222i−2i000000000000-444i−4i-444i−4i00002-2−2i2i00000000002-2−2i2i000000000000
χ774-4−4i4i-222i−2i0000-222i−2i000000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ111-1−ii000000000000-444i−4i2-2−2i2i00002-2−2i2i000000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ11-11i−i000000000000
χ784-4−4i4i-222i−2i0000-222i−2i000000ζ2+ζ7−ζ10−ζ11−ζ2−ζ7+ζ10+ζ11ζ2−ζ7−ζ10+ζ11−ζ2+ζ7+ζ10−ζ111-1−ii000000000000-444i−4i2-2−2i2i00002-2−2i2i000000−ζ2−ζ7+ζ10+ζ11ζ2+ζ7−ζ10−ζ11−ζ2+ζ7+ζ10−ζ11ζ2−ζ7−ζ10+ζ11-11i−i000000000000
χ796666-3-3-3-30-2-200000221-2-21-1-1-1-10000000000110000-6-6-6-6333302200000-2-2-122-111110000000000-1-10000
χ806666-3-3-3-30-2-200000-2-2122111110000000000-1-10000-6-6-6-633330220000022-1-2-2-1-1-1-1-10000000000110000
χ8166-6-6-3-33302-2000002i−2i-1−2i2i1−i−iii0000000000i−i0000-6-66633-3-30-2200000−2i2i12i−2i-1ii−i−i0000000000−ii0000
χ8266-6-6-3-33302-200000−2i2i-12i−2i1ii−i−i0000000000−ii0000-6-66633-3-30-22000002i−2i1−2i2i-1−i−iii0000000000i−i0000
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 12 (ζ12 = 1); i = ζ3.