Finite Group Databasebeta

← Group #13049538

Character table — Group #13049538

Order 1296.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size112222222244444444444444446668888888888991212121212121212121212121818181818181818181836363636363636365454545454108108
order12333366663333333366666666266333336666644666666666666246612121212121266612121212122441212612
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-111-1-1-11-111-1-1
χ3111111111111111111111111111111111111111-1-11111111111111-111-1-1-1-1-1-1111-1-1-1-1-1-1-11-1-1-11
χ4111111111111111111111111111111111111111-1-1111111111111-11-1-1-1-111-1-1-1-1-11-1-1111-1-1-1-11-1
χ511111111111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1
χ611111111111111111111111111-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11-11-1-111
χ711111111111111111111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-111-1-1-1-1-1-1111-1-1-1-1-111-1111-1
χ811111111111111111111111111-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-11-1-111-11111-11
χ922222-1-12222-12-1-1-1-122-1-1-1-122-12222-1-1-1-12-1-1-1-1002-122-1-1-1-1-1-1-1-10200002200000-100-1-120000-10
χ1022222-1-12222-12-1-1-1-122-1-1-1-122-12222-1-1-1-12-1-1-1-1002-122-1-1-1-1-1-1-1-10-20000-2-20000010011-2000010
χ1122222-1-12222-12-1-1-1-122-1-1-1-122-1-2-2-22-1-1-1-12-1-1-1-100-21-2-2111111110200002200000-100-1-1-2000010
χ1222222-1-12222-12-1-1-1-122-1-1-1-122-1-2-2-22-1-1-1-12-1-1-1-100-21-2-2111111110-20000-2-2000001001120000-10
χ132222-1222-1222-12-1-1-1-1-12-1-1-1-122222-12-1-1-1-12-1-1-100-12-1-122-1-1-1-1-1-12022000000-1-1-100000002000-1
χ142222-1222-1222-12-1-1-1-1-12-1-1-1-122222-12-1-1-1-12-1-1-100-12-1-122-1-1-1-1-1-1-20-2-20000001110000000-20001
χ152222-1222-1222-12-1-1-1-1-12-1-1-1-122-2-2-2-12-1-1-1-12-1-1-1001-211-2-21111112022000000-1-1-10000000-20001
χ162222-1222-1222-12-1-1-1-1-12-1-1-1-122-2-2-2-12-1-1-1-12-1-1-1001-211-2-2111111-20-2-200000011100000002000-1
χ17222-1222-122-1-122222-122222-1-1-1000-1-1-1-1-1-1-1-1-1-12200000000000022-1-1-1-1-1-1222-1-12-1-1-1-10000000
χ18222-1222-122-1-122222-122222-1-1-1000-1-1-1-1-1-1-1-1-1-122000000000000-2-211-1-11122-211-2-1-1110000000
χ19222-1222-122-1-122222-122222-1-1-1000-1-1-1-1-1-1-1-1-1-1-2-20000000000002-2-1-11111-2-22-1-1-211110000000
χ20222-1222-122-1-122222-122222-1-1-1000-1-1-1-1-1-1-1-1-1-1-2-2000000000000-221111-1-1-2-2-211211-1-10000000
χ2122-1222222-1-12-1-12-1-12-1-12-1-12-122-1-1-1-12-1-1-1-12-1-12222-1-1-1-122-1-1-1-100002200-1-10000-1-100020-1-100
χ2222-1222222-1-12-1-12-1-12-1-12-1-12-122-1-1-1-12-1-1-1-12-1-1-2-222-1-1-1-122-1-1-1-10000-2-20011000011000-201100
χ2322-1222222-1-12-1-12-1-12-1-12-1-12-12-211-1-12-1-1-1-12-1-122-2-21111-2-2111100002200-1-10000-1-1000-201100
χ2422-1222222-1-12-1-12-1-12-1-12-1-12-12-211-1-12-1-1-1-12-1-1-2-2-2-21111-2-211110000-2-2001100001100020-1-100
χ252-22222-2-2-2-222222222-2-2-2-2-2-2-2-200022222-2-2-2-2-22i−2i00000000000000002i−2i002i−2i00002i−2i000000000
χ262-22222-2-2-2-222222222-2-2-2-2-2-2-2-200022222-2-2-2-2-2−2i2i0000000000000000−2i2i00−2i2i0000−2i2i000000000
χ272-22-122-21-2-2-1-122222-1-2-2-2-2-2111000-1-1-1-1-1111112i−2i00000000000000−i3i3−ii3−32i−2i0−i3i30−ii3−30000000
χ282-22-122-21-2-2-1-122222-1-2-2-2-2-2111000-1-1-1-1-1111112i−2i00000000000000i3−i3−ii−332i−2i0i3−i30−ii−330000000
χ292-22-122-21-2-2-1-122222-1-2-2-2-2-2111000-1-1-1-1-111111−2i2i00000000000000−i3i3i−i−33−2i2i0−i3i30i−i−330000000
χ302-22-122-21-2-2-1-122222-1-2-2-2-2-2111000-1-1-1-1-111111−2i2i00000000000000i3−i3i−i3−3−2i2i0i3−i30i−i3−30000000
χ312-2-1222-2-2-21-12-1-12-1-1211-211-21-20−i3i3-1-12-1-111-2112i−2i00−i3i3−i3i300−i3−i3i3i300002i−2i00−ii0000−ii000003−300
χ322-2-1222-2-2-21-12-1-12-1-1211-211-21-20−i3i3-1-12-1-111-211−2i2i00−i3i3−i3i300−i3−i3i3i30000−2i2i00i−i0000i−i00000−3300
χ332-2-1222-2-2-21-12-1-12-1-1211-211-21-20i3−i3-1-12-1-111-2112i−2i00i3−i3i3−i300i3i3−i3−i300002i−2i00−ii0000−ii00000−3300
χ342-2-1222-2-2-21-12-1-12-1-1211-211-21-20i3−i3-1-12-1-111-211−2i2i00i3−i3i3−i300i3i3−i3−i30000−2i2i00i−i0000i−i000003−300
χ354444-2-2-24-244-2-2-2111-2-2-2111-24-2444-2-2111-2-211100-2-2-2-2-2-21111110000000000000000000000000
χ364444-2-2-24-244-2-2-2111-2-2-2111-24-2-4-4-4-2-2111-2-211100222222-1-1-1-1-1-10000000000000000000000000
χ37444-24-2-2-244-214-2-2-2-2-24-2-2-2-2-2-21000-21111-2111100000000000000040000-2-200000-200110000000
χ38444-24-2-2-244-214-2-2-2-2-24-2-2-2-2-2-21000-21111-21111000000000000000-400002200000200-1-10000000
χ39444-2-244-2-24-2-2-24-2-2-21-24-2-2-21-2-20001-21111-21110000000000000040-2-2000000-211000000000000
χ40444-2-244-2-24-2-2-24-2-2-21-24-2-2-21-2-20001-21111-211100000000000000-40220000002-1-1000000000000
χ4144-244-2-244-2-2-2-21-2114-21-2114-2-24-2-2-21-211-21-211004-2-2-211-2-211110000000000000000000000000
χ4244-244-2-244-2-2-2-21-2114-21-2114-2-2-422-21-211-21-21100-4222-1-122-1-1-1-10000000000000000000000000
χ4344-24-2444-2-2-241-2-211-21-2-211-2-244-2-21-2-2111-2-21100-2411-2-2-2-211110000000000000000000000000
χ4444-24-2444-2-2-241-2-211-21-2-211-2-24-4221-2-2111-2-211002-4-1-12222-1-1-1-10000000000000000000000000
χ4544-24-2-2-24-2-2-2-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2-2-24-2-2111−1−3i32−1+3i32111−1−3i32−1+3i3200-2-2111111−1−3i32−1+3i32−1−3i32−1+3i320000000000000000000000000
χ4644-24-2-2-24-2-2-2-2111−1−3i32−1+3i32-2111−1−3i32−1+3i32-2-2-2-422111−1−3i32−1+3i32111−1−3i32−1+3i320022-1-1-1-1-1-11+3i321−3i321+3i321−3i320000000000000000000000000
χ4744-24-2-2-24-2-2-2-2111−1+3i32−1−3i32-2111−1+3i32−1−3i32-2-2-24-2-2111−1+3i32−1−3i32111−1+3i32−1−3i3200-2-2111111−1+3i32−1−3i32−1+3i32−1−3i320000000000000000000000000
χ4844-24-2-2-24-2-2-2-2111−1+3i32−1−3i32-2111−1+3i32−1−3i32-2-2-2-422111−1+3i32−1−3i32111−1+3i32−1−3i320022-1-1-1-1-1-11−3i321+3i321−3i321+3i320000000000000000000000000
χ4944-2-2444-24-21-2-2-24-2-2-2-2-24-2-2-21-200011-21111-211440000000000000000-2-200-2-2000011000000000
χ5044-2-2444-24-21-2-2-24-2-2-2-2-24-2-2-21-200011-21111-211-4-400000000000000002200220000-1-1000000000
χ514-4444-22-4-4-44-24-2-2-2-24-42222-4-420004-2-2-2-2-42222000000000000000000000000000000000000000
χ524-444-24-4-42-444-24-2-2-2-22-42222-4-4000-24-2-2-22-4222000000000000000000000000000000000000000
χ534-444-2-22-42-44-2-2-2111-222-1-1-12-42000-2-211122-1-1-1000000003-33-3-330000000000000000000000000
χ544-444-2-22-42-44-2-2-2111-222-1-1-12-42000-2-211122-1-1-100000000-33-333-30000000000000000000000000
χ554-44-24-222-4-4-214-2-2-2-2-2-4222222-1000-211112-1-1-1-10000000000000000000023−2300000000−330000000
χ564-44-24-222-4-4-214-2-2-2-2-2-4222222-1000-211112-1-1-1-100000000000000000000−2323000000003−30000000
χ574-44-2-24-422-4-2-2-24-2-2-212-4222-1220001-2111-12-1-1-10000000000000000−2i32i30000000i3−i3000000000000
χ584-44-2-24-422-4-2-2-24-2-2-212-4222-1220001-2111-12-1-1-100000000000000002i3−2i30000000−i3i3000000000000
χ594-4-244-22-4-42-2-2-21-21142-12-1-1-4220−2i32i3-21-2112-12-1-10000−2i32i3i3−i300i3i3−i3−i30000000000000000000000000
χ604-4-244-22-4-42-2-2-21-21142-12-1-1-42202i3−2i3-21-2112-12-1-100002i3−2i3−i3i300−i3−i3i3i30000000000000000000000000
χ614-4-24-24-4-422-241-2-211-2-122-1-122-40−2i32i31-2-211-122-1-10000i3−i3−2i32i300i3i3−i3−i30000000000000000000000000
χ624-4-24-24-4-422-241-2-211-2-122-1-122-402i3−2i31-2-211-122-1-10000−i3i32i3−2i300−i3−i3i3i30000000000000000000000000
χ634-4-24-2-22-422-2-2111−1−3i32−1+3i32-2-1-1-11+3i321−3i322220−2i32i3111−1−3i32−1+3i32-1-1-11+3i321−3i320000i3−i3i3−i33-3−3−i323−i323+i32−3+i320000000000000000000000000
χ644-4-24-2-22-422-2-2111−1−3i32−1+3i32-2-1-1-11+3i321−3i3222202i3−2i3111−1−3i32−1+3i32-1-1-11+3i321−3i320000−i3i3−i3i3-333+i32−3+i32−3−i323−i320000000000000000000000000
χ654-4-24-2-22-422-2-2111−1+3i32−1−3i32-2-1-1-11−3i321+3i322220−2i32i3111−1+3i32−1−3i32-1-1-11−3i321+3i320000i3−i3i3−i3-333−i32−3−i32−3+i323+i320000000000000000000000000
χ664-4-24-2-22-422-2-2111−1+3i32−1−3i32-2-1-1-11−3i321+3i3222202i3−2i3111−1+3i32−1−3i32-1-1-11−3i321+3i320000−i3i3−i3i33-3−3+i323+i323−i32−3−i320000000000000000000000000
χ674-4-2-244-42-421-2-2-24-2-2-222-4222-1200011-211-1-12-1-14i−4i0000000000000000−2i2i00−2i2i0000i−i000000000
χ684-4-2-244-42-421-2-2-24-2-2-222-4222-1200011-211-1-12-1-1−4i4i00000000000000002i−2i002i−2i0000−ii000000000
χ69888-4-4-4-4-4-48-42-4-42222-4-42222-4200022-1-1-122-1-1-1000000000000000000000000000000000000000
χ7088-4-48-4-4-48-422-42-422-4-42-422-4220002-12-1-12-12-1-1000000000000000000000000000000000000000
χ7188-4-4-488-4-4-42-42-4-42222-4-42222-4000-122-1-1-122-1-1000000000000000000000000000000000000000
χ7288-4-4-4-4-4-4-4-422222−1−3i3−1+3i32222−1−3i3−1+3i3222000-1-1-11+3i321−3i32-1-1-11+3i321−3i32000000000000000000000000000000000000000
χ7388-4-4-4-4-4-4-4-422222−1+3i3−1−3i32222−1+3i3−1−3i3222000-1-1-11−3i321+3i32-1-1-11−3i321+3i32000000000000000000000000000000000000000
χ748-88-4-4-4444-8-42-4-4222244-2-2-2-24-200022-1-1-1-2-2111000000000000000000000000000000000000000
χ758-8-4-48-444-8422-42-422-44-24-2-24-2-20002-12-1-1-21-211000000000000000000000000000000000000000
χ768-8-4-4-48-84442-42-4-4222-244-2-2-2-24000-122-1-11-2-211000000000000000000000000000000000000000
χ778-8-4-4-4-4444422222−1−3i3−1+3i32-2-2-21+3i31−3i3-2-2-2000-1-1-11+3i321−3i32111−1−3i32−1+3i32000000000000000000000000000000000000000
χ788-8-4-4-4-4444422222−1+3i3−1−3i32-2-2-21−3i31+3i3-2-2-2000-1-1-11−3i321+3i32111−1+3i32−1−3i32000000000000000000000000000000000000000

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