Finite Group Databasebeta

← Group #13150644

Character table — Group #13150644

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size11112222222222222244446666666666666666121212121212121212121212121212121212121212121212363636363636363636363636363636363636363636363636363636363636363636363636
order12442223444666121212126612123366666612121212121212123666666666661212121212121212121212122222444466666666888812121212121212122424242424242424
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-111-1-111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111
χ511111-1-11-1-11-1-1111-1-11-11-11111-1-1111111-1-1111-1-11-111-1-1-1-11-1-11-11111-1-1-1-11-11-11-11-111-1-111-1-111-1-111-1-111-1-11111-1-1-1-1
χ611111-1-11-1-11-1-1111-1-11-11-11111-1-1111111-1-1111-1-11-111-1-1-1-11-1-11-11111-1-1-1-11-1-111-1-1111-1-1-1-111-1-11111-1-1-1-111-1-1-1-11111
χ711111-1-11-1-11-1-1111-1-11-11-11111-1-1111111-1-1111-1-11-111-1-1-1-11-1-11-11111-1-1-1-1-111-1-111-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-11111
χ811111-1-11-1-11-1-1111-1-11-11-11111-1-1111111-1-1111-1-11-111-1-1-1-11-1-11-11111-1-1-1-1-11-11-11-11-1-111-1-11111-1-1-1-111-1-1111111-1-1-1-1
χ911-1-1-11-111-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-11-1-111-1-111-11-111-1-111-1-1111-1-1-1-11111111-1-11-11-1-1-1-1-1-1-11111-1-111-1-1
χ1011-1-1-11-111-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-11-1-111-1-111-11-111-1-111-1-111-11-1-11-11111-1-111-11-11-1-1-1-111-1-1-1-111-1-111
χ1111-1-1-11-111-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-11-1-111-1-111-11-111-1-111-1-1-1-11-111-11-1-1-1-111-1-1-11-111111-1-111-1-111-1-111
χ1211-1-1-11-111-11111-1-1-1-1-1-11111-1-1-1-111-1-1-1-1111111-1-11-1-111-1-111-11-111-1-111-1-1-1-1-11111-1-1-1-1-1-1-1111-11-1111111-1-111-1-111-1-1
χ1311-1-1-1-111-111-1-11-1-111-111-111-1-11111-1-1-1-1-1-1111-11-1-1-1-1-1-1111-111111-1-1-1-1111-111-11-1-111-1-111111-1-11-1-111-1-1-1-111-1-1-1-111
χ1411-1-1-1-111-111-1-11-1-111-111-111-1-11111-1-1-1-1-1-1111-11-1-1-1-1-1-1111-111111-1-1-1-1111-1-1-1-111111-1-1-1-1-1-1-111-1-1-1111111-1-11111-1-1
χ1511-1-1-1-111-111-1-11-1-111-111-111-1-11111-1-1-1-1-1-1111-11-1-1-1-1-1-1111-111111-1-1-1-111-11111-1-1-1-1-1111111-111-111-1-1-1-1-1-1-1-11111-1-1
χ1611-1-1-1-111-111-1-11-1-111-111-111-1-11111-1-1-1-1-1-1111-11-1-1-1-1-1-1111-111111-1-1-1-111-11-1-11-111-1-111-1-1-1-11-1-1111-1-1111111-1-1-1-111
χ1722222222222222222222222-122-1-12-122-1-1-1-122-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-1002200220000-1-1-1-100000000-1-1-1-100000000
χ1822222222222222222222222-122-1-12-122-1-1-1-122-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-100-2-200-2-20000111100000000111100000000
χ192222222222222222222222-12-1-122-12-1-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000000000000000222200000000-1-1-1-1-1-1-1-1
χ202222222222222222222222-12-1-122-12-1-12222-1-1-1-1-122-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000000000000000-2-2-2-20000000011111111
χ2122222-2-22-2-22-2-2222-2-22-22-22-122112-122-1-11122-1-2-2-11-1-11111-1-2-2-11-1-1-1-11111002-2002-20000-1-11100000000-1-11100000000
χ2222222-2-22-2-22-2-2222-2-22-22-22-122112-122-1-11122-1-2-2-11-1-11111-1-2-2-11-1-1-1-1111100-2200-22000011-1-10000000011-1-100000000
χ2322222-2-22-2-22-2-2222-2-22-22-2-12-1-1-2-2-12-1-122-2-2-1-1-1112-2-1-11111-1112-2-1-1-1-11111000000000000000022-2-200000000-1-1-1-11111
χ2422222-2-22-2-22-2-2222-2-22-22-2-12-1-1-2-2-12-1-122-2-2-1-1-1112-2-1-11111-1112-2-1-1-1-111110000000000000000-2-222000000001111-1-1-1-1
χ252222-22-22-22-22222222-2-2-2-222-2-2-2-2222222-2-2-2-222-2-22-2-222-2-22-22-22-2-222-2-222000000000000000000000000000000000000
χ262222-22-22-22-22222222-2-2-2-22-1-2-2112-122-1-111-2-2-12-21-111-1-111-1-221-111-1-111-1-1000000000000−i3i3−i3i300000000−i3i3−i3i300000000
χ272222-22-22-22-22222222-2-2-2-22-1-2-2112-122-1-111-2-2-12-21-111-1-111-1-221-111-1-111-1-1000000000000i3−i3i3−i300000000i3−i3i3−i300000000
χ282222-22-22-22-22222222-2-2-2-2-1211-2-2-12-1-122-2-211-1-11-2211-1-111-11-1-2211-1-111-1-100000000000000000000000000003−33−33−33−3
χ292222-22-22-22-22222222-2-2-2-2-1211-2-2-12-1-122-2-211-1-11-2211-1-111-11-1-2211-1-111-1-10000000000000000000000000000−33−33−33−33
χ302222-2-2222-2-2-2-2222-2-2-22-2222-2-22222222222-2-22-22-2-2-2-2-2-22222-2-2-2-2-22222-2-2000000000000000000000000000000000000
χ312222-2-2222-2-2-2-2222-2-2-22-222-1-2-2-1-12-122-1-1-1-1-2-2-1-22111111-1-1-12-21111-1-1-1-111000000000000−i3i3i3−i300000000−i3i3i3−i300000000
χ322222-2-2222-2-2-2-2222-2-2-22-222-1-2-2-1-12-122-1-1-1-1-2-2-1-22111111-1-1-12-21111-1-1-1-111000000000000i3−i3−i3i300000000i3−i3−i3i300000000
χ332222-2-2222-2-2-2-2222-2-2-22-22-121122-12-1-1222211-11-1-2-21111-1-1-1-11-2-211-1-1-1-11100000000000000000000000000003−33−3−33−33
χ342222-2-2222-2-2-2-2222-2-2-22-22-121122-12-1-1222211-11-1-2-21111-1-1-1-11-2-211-1-1-1-1110000000000000000000000000000−33−333−33−3
χ3522-2-22222-2-2-2222-2-2-2-222-2-222222222-2-2-2-2-2-2-2-2222222222222-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000
χ3622-2-22222-2-2-2222-2-2-2-222-2-22-122-1-12-1-2-21111-2-2-122-1-1-1-1-1-1-1-1-1-2-21111111111000000000000−i3i3i3−i300000000i3−i3−i3i300000000
χ3722-2-22222-2-2-2222-2-2-2-222-2-22-122-1-12-1-2-21111-2-2-122-1-1-1-1-1-1-1-1-1-2-21111111111000000000000i3−i3−i3i300000000−i3i3i3−i300000000
χ3822-2-22222-2-2-2222-2-2-2-222-2-2-12-1-122-1211-2-2-2-211-1-1-122-1-1-1-1-1-1-111-2-21111111100000000000000000000000000003−3−333−3−33
χ3922-2-22222-2-2-2222-2-2-2-222-2-2-12-1-122-1211-2-2-2-211-1-1-122-1-1-1-1-1-1-111-2-2111111110000000000000000000000000000−333−3−333−3
χ4022-2-22-2-2222-2-2-22-2-2222-2-222222-2-222-2-2-2-222-2-22-2-22-222-2-2-2-2222-22-2-2-2-22222000000000000000000000000000000000000
χ4122-2-22-2-2222-2-2-22-2-2222-2-222-122112-1-2-211-1-1-2-2-1-2-2-11-1-11111-1221-11111-1-1-1-1000000000000−i3i3−i3i300000000i3−i3i3−i300000000
χ4222-2-22-2-2222-2-2-22-2-2222-2-222-122112-1-2-211-1-1-2-2-1-2-2-11-1-11111-1221-11111-1-1-1-1000000000000i3−i3i3−i300000000−i3i3−i3i300000000
χ4322-2-22-2-2222-2-2-22-2-2222-2-22-12-1-1-2-2-1211-2-22211-1112-2-1-11111-1-1-1-221111-1-1-1-100000000000000000000000000003−3−33−333−3
χ4422-2-22-2-2222-2-2-22-2-2222-2-22-12-1-1-2-2-1211-2-22211-1112-2-1-11111-1-1-1-221111-1-1-1-10000000000000000000000000000−333−33−3−33
χ4522-2-2-22-222-22222-2-2-2-2-2-2222-1-2-2112-1-2-211-1-122-12-21-111-1-111-12-2-11-1-111-1-111002-200-220000-1-1110000000011-1-100000000
χ4622-2-2-22-222-22222-2-2-2-2-2-2222-1-2-2112-1-2-211-1-122-12-21-111-1-111-12-2-11-1-111-1-11100-22002-2000011-1-100000000-1-11100000000
χ4722-2-2-22-222-22222-2-2-2-2-2-222-1211-2-2-1211-2-222-1-1-1-11-2211-1-111-1-112-2-1-111-1-11100000000000000002-22-200000000-1-111-1-111
χ4822-2-2-22-222-22222-2-2-2-2-2-222-1211-2-2-1211-2-222-1-1-1-11-2211-1-111-1-112-2-1-111-1-1110000000000000000-22-220000000011-1-111-1-1
χ4922-2-2-2-222-222-2-22-2-222-222-22-1-2-2-1-12-1-2-2111122-1-22111111-1-1-1-22-1-1-1-11111-1-1002200-2-20000-1-1-1-100000000111100000000
χ5022-2-2-2-222-222-2-22-2-222-222-22-1-2-2-1-12-1-2-2111122-1-22111111-1-1-1-22-1-1-1-11111-1-100-2-200220000111100000000-1-1-1-100000000
χ5122-2-2-2-222-222-2-22-2-222-222-2-121122-1211-2-2-2-2-1-1-11-1-2-21111-1-1-11-122-1-11111-1-100000000000000002-2-2200000000-1-11111-1-1
χ5222-2-2-2-222-222-2-22-2-222-222-2-121122-1211-2-2-2-2-1-1-11-1-2-21111-1-1-11-122-1-11111-1-10000000000000000-222-20000000011-1-1-1-111
χ534444444444444444444444-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-21111111-2-2-2-211111111000000000000000000000000000000000000
χ5444444-4-44-4-44-4-4444-4-44-44-4-2-2-2-222-2-2-2-2-2-222-2-2122-2211-1-1-1-1122-221111-1-1-1-1000000000000000000000000000000000000
χ554444-44-44-44-44444444-4-4-4-4-2-22222-2-2-2-2-2-222221-222-2-1-111-1-112-22-2-1-111-1-111000000000000000000000000000000000000
χ564444-4-4444-4-4-4-4444-4-4-44-44-2-222-2-2-2-2-2-2-2-2-2-22212-222-1-1-1-1111-2222-1-11111-1-1000000000000000000000000000000000000
χ5744-4-44444-4-4-4444-4-4-4-444-4-4-2-2-2-2-2-2-2-2222222221-2-2-2-211111112222-1-1-1-1-1-1-1-1000000000000000000000000000000000000
χ5844-4-44-4-4444-4-4-44-4-4444-4-44-2-2-2-222-2-22222-2-222122-2211-1-1-1-11-2-22-2-1-1-1-11111000000000000000000000000000000000000
χ5944-4-4-44-444-44444-4-4-4-4-4-444-2-22222-2-22222-2-2-2-21-222-2-1-111-1-11-22-2211-1-111-1-1000000000000000000000000000000000000
χ6044-4-4-4-444-444-4-44-4-444-444-4-2-222-2-2-2-2222222-2-212-222-1-1-1-11112-2-2-211-1-1-1-111000000000000000000000000000000000000
χ614-44i−4i000400000-44i−4i000000440000-4-44i−4i4i−4i000040000000000-40000004i−4i0000000000000000000000000000000000000000
χ624-44i−4i000400000-44i−4i0000004-200−2i32i3-424i−4i−2i2i23−2300-200000000−2i32i32000000−2i2i23−2300000000000000000000000000000000000000
χ634-44i−4i000400000-44i−4i0000004-2002i3−2i3-424i−4i−2i2i−232300-2000000002i3−2i32000000−2i2i−232300000000000000000000000000000000000000
χ644-44i−4i000400000-44i−4i000000-24−2i32i3002-4−2i2i4i−4i0023−23-20000−2i32i300002000023−23−2i2i0000000000000000000000000000000000000000
χ654-44i−4i000400000-44i−4i000000-242i3−2i3002-4−2i2i4i−4i00−2323-200002i3−2i3000020000−2323−2i2i0000000000000000000000000000000000000000
χ664-44i−4i000400000-44i−4i000000-2-2−2i32i3−2i32i322−2i2i−2i2i23−2323−2310000i3−i33-3i3−i3-10000−33i−i−333i−3i000000000000000000000000000000000000
χ674-44i−4i000400000-44i−4i000000-2-2−2i32i32i3−2i322−2i2i−2i2i−232323−2310000i3−i3-33−i3i3-10000−33i−i3−3−3i3i000000000000000000000000000000000000
χ684-44i−4i000400000-44i−4i000000-2-22i3−2i3−2i32i322−2i2i−2i2i23−23−232310000−i3i3-33i3−i3-100003−3i−i−33−3i3i000000000000000000000000000000000000
χ694-44i−4i000400000-44i−4i000000-2-22i3−2i32i3−2i322−2i2i−2i2i−2323−232310000−i3i33-3−i3i3-100003−3i−i3−33i−3i000000000000000000000000000000000000
χ704-4−4i4i000400000-4−4i4i000000440000-4-4−4i4i−4i4i000040000000000-4000000−4i4i0000000000000000000000000000000000000000
χ714-4−4i4i000400000-4−4i4i0000004-200−2i32i3-42−4i4i2i−2i−232300-200000000−2i32i320000002i−2i−232300000000000000000000000000000000000000
χ724-4−4i4i000400000-4−4i4i0000004-2002i3−2i3-42−4i4i2i−2i23−2300-2000000002i3−2i320000002i−2i23−2300000000000000000000000000000000000000
χ734-4−4i4i000400000-4−4i4i000000-24−2i32i3002-42i−2i−4i4i00−2323-20000−2i32i3000020000−23232i−2i0000000000000000000000000000000000000000
χ744-4−4i4i000400000-4−4i4i000000-242i3−2i3002-42i−2i−4i4i0023−23-200002i3−2i300002000023−232i−2i0000000000000000000000000000000000000000
χ754-4−4i4i000400000-4−4i4i000000-2-2−2i32i3−2i32i3222i−2i2i−2i−2323−232310000i3−i33-3i3−i3-100003−3−ii3−3−3i3i000000000000000000000000000000000000
χ764-4−4i4i000400000-4−4i4i000000-2-2−2i32i32i3−2i3222i−2i2i−2i23−23−232310000i3−i3-33−i3i3-100003−3−ii−333i−3i000000000000000000000000000000000000
χ774-4−4i4i000400000-4−4i4i000000-2-22i3−2i3−2i32i3222i−2i2i−2i−232323−2310000−i3i3-33i3−i3-10000−33−ii3−33i−3i000000000000000000000000000000000000
χ784-4−4i4i000400000-4−4i4i000000-2-22i3−2i32i3−2i3222i−2i2i−2i23−2323−2310000−i3i33-3−i3i3-10000−33−ii−33−3i3i000000000000000000000000000000000000
χ796666666-3666-3-3-3-3-3-3-3-3-3-3-3000000000000000000000000000000000000000022002200-1-1-1-100000000-1-1-1-1000000000000
χ806666666-3666-3-3-3-3-3-3-3-3-3-3-30000000000000000000000000000000000000000-2-200-2-2001111000000001111000000000000
χ8166666-6-6-3-6-6633-3-3-333-33-3300000000000000000000000000000000000000002-2002-200-1-11100000000-1-111000000000000
χ8266666-6-6-3-6-6633-3-3-333-33-330000000000000000000000000000000000000000-2200-220011-1-10000000011-1-1000000000000
χ836666-66-6-3-66-6-3-3-3-3-3-3-33333000000000000000000000000000000000000000000000000−i3i3−i3i300000000−i3i3−i3i3000000000000
χ846666-66-6-3-66-6-3-3-3-3-3-3-33333000000000000000000000000000000000000000000000000i3−i3i3−i300000000i3−i3i3−i3000000000000
χ856666-6-66-36-6-633-3-3-3333-33-3000000000000000000000000000000000000000000000000−i3i3i3−i300000000−i3i3i3−i3000000000000
χ866666-6-66-36-6-633-3-3-3333-33-3000000000000000000000000000000000000000000000000i3−i3−i3i300000000i3−i3−i3i3000000000000
χ8766-6-6666-3-6-6-6-3-3-33333-3-333000000000000000000000000000000000000000000000000−i3i3−i3i300000000i3−i3i3−i3000000000000
χ8866-6-6666-3-6-6-6-3-3-33333-3-333000000000000000000000000000000000000000000000000i3−i3i3−i300000000−i3i3−i3i3000000000000
χ8966-6-66-6-6-366-633-333-3-3-333-3000000000000000000000000000000000000000000000000−i3i3i3−i300000000i3−i3−i3i3000000000000
χ9066-6-66-6-6-366-633-333-3-3-333-3000000000000000000000000000000000000000000000000i3−i3−i3i300000000−i3i3i3−i3000000000000
χ9166-6-6-66-6-36-66-3-3-3333333-3-300000000000000000000000000000000000000002200-2-200-1-1-1-1000000001111000000000000
χ9266-6-6-66-6-36-66-3-3-3333333-3-30000000000000000000000000000000000000000-2-2002200111100000000-1-1-1-1000000000000
χ9366-6-6-6-66-3-66633-333-3-33-3-3300000000000000000000000000000000000000002-200-2200-1-1110000000011-1-1000000000000
χ9466-6-6-6-66-3-66633-333-3-33-3-330000000000000000000000000000000000000000-22002-20011-1-100000000-1-111000000000000
χ9512-1212i−12i000-6000−6i36i36−6i6i63−6300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9612-1212i−12i000-60006i3−6i36−6i6i−636300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9712-12−12i12i000-6000−6i36i366i−6i−636300000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9812-12−12i12i000-60006i3−6i366i−6i63−6300000000000000000000000000000000000000000000000000000000000000000000000000000000

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