Finite Group Databasebeta

← Group #13152078

Character table — Group #13152078

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
size11112222444666666661212121212121212121212121818181818183636363636363636363636363636361111222244466666666121212121212121212121212181818181818363636363636363636363636363636
order122236662663366666636666666666622444424466661212121212121212222266662666666666666666666666622444424466661212121212121212
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111-1-1-1-1-11-111-1-1-1-1-1-111-1-1111111111111111111111111111111111-1-1-1-1-11-111-1-1-1-1-1-111-1-1
χ31111111111111111111111111111111-1-111-1-11-1-1-1-111-1-1-1-1-1-1111111111111111111111111111111111-1-111-1-11-1-1-1-111-1-1-1-1-1-111
χ41111111111111111111111111111111-1-1-1-111-1-11-1-1-1-11111-1-1-1-11111111111111111111111111111111-1-1-1-111-1-11-1-1-1-11111-1-1-1-1
χ511111111-1-1-1111111111-1-1-1-1111-1-1-1-1111111-1-1-111-1-111-1-1-1-11111111111-1-1-1111111111-1-1-1-1111-1-1-1-1111111-1-1-111-1-111-1-1-1-111
χ611111111-1-1-1111111111-1-1-1-1111-1-1-1-111-1-1-1-11-111111-1-111-1-1-1-111111111-1-1-1111111111-1-1-1-1111-1-1-1-111-1-1-1-11-111111-1-111-1-1-1-1
χ711111111-1-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-1-111-1-1-1-1-1-111111111111111-1-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1111111
χ811111111-1-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-11111-1-111-1-111111111-1-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-11111-1-111-1-1
χ9222222222222-122-1-12-1-122-1-1-1-1-1-1-1-1-100220020000-1-1000000-1-1222222222222-122-1-12-1-122-1-1-1-1-1-1-1-1-100220020000-1-1000000-1-1
χ10222222222222-122-1-12-1-122-1-1-1-1-1-1-1-1-100-2-200-200001100000011222222222222-122-1-12-1-122-1-1-1-1-1-1-1-1-100-2-200-200001100000011
χ1122222222222-12-1-122-12-1-1-122-1-1-1-1-1-1-1220000020-1-1000000-1-10022222222222-12-1-122-12-1-1-122-1-1-1-1-1-1-1220000020-1-1000000-1-100
χ1222222222222-12-1-122-12-1-1-122-1-1-1-1-1-1-1-2-200000-2011000000110022222222222-12-1-122-12-1-1-122-1-1-1-1-1-1-1-2-200000-20110000001100
χ1322222222-2-2-22-122-1-12-1-1-2-211-1-1-11111002200-2000011000000-1-122222222-2-2-22-122-1-12-1-1-2-211-1-1-11111002200-2000011000000-1-1
χ1422222222-2-2-22-122-1-12-1-1-2-211-1-1-1111100-2-20020000-1-10000001122222222-2-2-22-122-1-12-1-1-2-211-1-1-1111100-2-20020000-1-100000011
χ1522222222-2-2-2-12-1-122-12-111-2-2-1-1-111112200000-20-1-1000000110022222222-2-2-2-12-1-122-12-111-2-2-1-1-111112200000-20-1-10000001100
χ1622222222-2-2-2-12-1-122-12-111-2-2-1-1-11111-2-2000002011000000-1-10022222222-2-2-2-12-1-122-12-111-2-2-1-1-11111-2-2000002011000000-1-100
χ1722-2-222-2-2000222-22-2-2-2200002-2-2000000002i−2i00000002i−2i00000022-2-222-2-2000222-22-2-2-2200002-2-2000000002i−2i00000002i−2i000000
χ1822-2-222-2-2000222-22-2-2-2200002-2-200000000−2i2i0000000−2i2i00000022-2-222-2-2000222-22-2-2-2200002-2-200000000−2i2i0000000−2i2i000000
χ192-22-22-22-200022-22-2-2-2220000-22-20000002-20000000000000002-22-22-22-22-200022-22-2-2-2220000-22-20000002-20000000000000002-2
χ202-22-22-22-200022-22-2-2-2220000-22-2000000-22000000000000000-222-22-22-22-200022-22-2-2-2220000-22-2000000-22000000000000000-22
χ212-22-22-22-20002-1-2211-2-1-100−i3i31-11−i3−i3i3i3002-20000000−i3i3000000-112-22-22-22-20002-1-2211-2-1-100−i3i31-11−i3−i3i3i3002-20000000−i3i3000000-11
χ222-22-22-22-20002-1-2211-2-1-100−i3i31-11−i3−i3i3i300-220000000i3−i30000001-12-22-22-22-20002-1-2211-2-1-100−i3i31-11−i3−i3i3i300-220000000i3−i30000001-1
χ232-22-22-22-20002-1-2211-2-1-100i3−i31-11i3i3−i3−i3002-20000000i3−i3000000-112-22-22-22-20002-1-2211-2-1-100i3−i31-11i3i3−i3−i3002-20000000i3−i3000000-11
χ242-22-22-22-20002-1-2211-2-1-100i3−i31-11i3i3−i3−i300-220000000−i3i30000001-12-22-22-22-20002-1-2211-2-1-100i3−i31-11i3i3−i3−i300-220000000−i3i30000001-1
χ252-2-222-2-2200022-2-2-222-220000-2-2200002-200000002-200000000002-2-222-2-2200022-2-2-222-220000-2-2200002-200000002-20000000000
χ262-2-222-2-2200022-2-2-222-220000-2-220000-220000000-2200000000002-2-222-2-2200022-2-2-222-220000-2-220000-220000000-220000000000
χ272-2-222-2-22000-1211-22-1-2-1−i3i30011-1−i3i3−i3i32-20000000-11000000−i3i3002-2-222-2-22000-1211-22-1-2-1−i3i30011-1−i3i3−i3i32-20000000-11000000−i3i300
χ282-2-222-2-22000-1211-22-1-2-1−i3i30011-1−i3i3−i3i3-2200000001-1000000i3−i3002-2-222-2-22000-1211-22-1-2-1−i3i30011-1−i3i3−i3i3-2200000001-1000000i3−i300
χ292-2-222-2-22000-1211-22-1-2-1i3−i30011-1i3−i3i3−i32-20000000-11000000i3−i3002-2-222-2-22000-1211-22-1-2-1i3−i30011-1i3−i3i3−i32-20000000-11000000i3−i300
χ302-2-222-2-22000-1211-22-1-2-1i3−i30011-1i3−i3i3−i3-2200000001-1000000−i3i3002-2-222-2-22000-1211-22-1-2-1i3−i30011-1i3−i3i3−i3-2200000001-1000000−i3i300
χ3144444444444-2-2-2-2-2-2-2-21-2-2-2-2111111100000000000000000000044444444444-2-2-2-2-2-2-2-21-2-2-2-21111111000000000000000000000
χ3244444444-4-4-4-2-2-2-2-2-2-2-212222111-1-1-1-100000000000000000000044444444-4-4-4-2-2-2-2-2-2-2-212222111-1-1-1-1000000000000000000000
χ3344-4-444-4-40004-24-4-22-42-20000-222000000000000000000000000044-4-444-4-40004-24-4-22-42-20000-2220000000000000000000000000
χ3444-4-444-4-4000-24-224-42-4-20000-222000000000000000000000000044-4-444-4-4000-24-224-42-4-20000-2220000000000000000000000000
χ3544-4-444-4-4000-2-2-22-2222100001-1-13-3-3300000000000000000000044-4-444-4-4000-2-2-22-2222100001-1-13-3-33000000000000000000000
χ3644-4-444-4-4000-2-2-22-2222100001-1-1-333-300000000000000000000044-4-444-4-4000-2-2-22-2222100001-1-1-333-3000000000000000000000
χ374-44-44-44-4000-242-2-4-424-200002-2200000000000000000000000004-44-44-44-4000-242-2-4-424-200002-220000000000000000000000000
χ384-44-44-44-4000-2-22-2222-2100−2i32i3-11-1i3i3−i3−i30000000000000000000004-44-44-44-4000-2-22-2222-2100−2i32i3-11-1i3i3−i3−i3000000000000000000000
χ394-44-44-44-4000-2-22-2222-21002i3−2i3-11-1−i3−i3i3i30000000000000000000004-44-44-44-4000-2-22-2222-21002i3−2i3-11-1−i3−i3i3i3000000000000000000000
χ404-4-444-4-440004-2-4-42-242-2000022-200000000000000000000000004-4-444-4-440004-2-4-42-242-2000022-20000000000000000000000000
χ414-4-444-4-44000-2-2222-2-221−2i32i300-1-11i3−i3i3−i30000000000000000000004-4-444-4-44000-2-2222-2-221−2i32i300-1-11i3−i3i3−i3000000000000000000000
χ424-4-444-4-44000-2-2222-2-2212i3−2i300-1-11−i3i3−i3i30000000000000000000004-4-444-4-44000-2-2222-2-2212i3−2i300-1-11−i3i3−i3i3000000000000000000000
χ436666-3-3-3-36-3-3000000000000000000000000220020000-1-1-1-100006666-3-3-3-36-3-3000000000000000000000000220020000-1-1-1-10000
χ446666-3-3-3-36-3-3000000000000000000000000-2-200-20000111100006666-3-3-3-36-3-3000000000000000000000000-2-200-2000011110000
χ456666-3-3-3-3-6330000000000000000000000002200-20000-1-11100006666-3-3-3-3-6330000000000000000000000002200-20000-1-1110000
χ466666-3-3-3-3-633000000000000000000000000-2-2002000011-1-100006666-3-3-3-3-633000000000000000000000000-2-2002000011-1-10000
χ4766-6-6-3-3330−3i33i30000000000000000000000002i−2i0000000−ii3−3000066-6-6-3-3330−3i33i30000000000000000000000002i−2i0000000−ii3−30000
χ4866-6-6-3-3330−3i33i3000000000000000000000000−2i2i0000000i−i−33000066-6-6-3-3330−3i33i3000000000000000000000000−2i2i0000000i−i−330000
χ4966-6-6-3-33303i3−3i30000000000000000000000002i−2i0000000−ii−33000066-6-6-3-33303i3−3i30000000000000000000000002i−2i0000000−ii−330000
χ5066-6-6-3-33303i3−3i3000000000000000000000000−2i2i0000000i−i3−3000066-6-6-3-33303i3−3i3000000000000000000000000−2i2i0000000i−i3−30000
χ5112-1212-12-66-660000000000000000000000000000000000000000000012-1212-12-66-6600000000000000000000000000000000000000000000
χ5212-12-1212-666-60000000000000000000000000000000000000000000012-12-1212-666-600000000000000000000000000000000000000000000
χ531111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ54111111111111111111111111111111111-1-1-1-1-11-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-11-1-1111111-1-111
χ551111111111111111111111111111111-1-111-1-11-1-1-1-111-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11111-1-1111111-1-1
χ561111111111111111111111111111111-1-1-1-111-1-11-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-11111-1-1-1-11111
χ5711111111-1-1-1111111111-1-1-1-1111-1-1-1-1111111-1-1-111-1-111-1-1-1-111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1111-1-111-1-11111-1-1
χ5811111111-1-1-1111111111-1-1-1-1111-1-1-1-111-1-1-1-11-111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-11111-1-11111-11-1-1-1-1-111-1-11111
χ5911111111-1-1-1111111111-1-1-1-1111-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-1111111-1-1111-1-1111111-1-1-1-1-1-1
χ6011111111-1-1-1111111111-1-1-1-1111-1-1-1-1-1-1-1-11111-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-11111-1-1-111111111-1-1-1-1111-1-1-1-111-1-111
χ61222222222222-122-1-12-1-122-1-1-1-1-1-1-1-1-100220020000-1-1000000-1-1-2-2-2-2-2-2-2-2-2-2-2-21-2-211-211-2-211111111100-2-200-200001100000011
χ62222222222222-122-1-12-1-122-1-1-1-1-1-1-1-1-100-2-200-200001100000011-2-2-2-2-2-2-2-2-2-2-2-21-2-211-211-2-211111111100220020000-1-1000000-1-1
χ6322222222222-12-1-122-12-1-1-122-1-1-1-1-1-1-1220000020-1-1000000-1-100-2-2-2-2-2-2-2-2-2-2-21-211-2-21-2111-2-21111111-2-200000-20110000001100
χ6422222222222-12-1-122-12-1-1-122-1-1-1-1-1-1-1-2-200000-20110000001100-2-2-2-2-2-2-2-2-2-2-21-211-2-21-2111-2-21111111220000020-1-1000000-1-100
χ6522222222-2-2-22-122-1-12-1-1-2-211-1-1-11111002200-2000011000000-1-1-2-2-2-2-2-2-2-2222-21-2-211-21122-1-1111-1-1-1-100-2-20020000-1-100000011
χ6622222222-2-2-22-122-1-12-1-1-2-211-1-1-1111100-2-20020000-1-100000011-2-2-2-2-2-2-2-2222-21-2-211-21122-1-1111-1-1-1-1002200-2000011000000-1-1
χ6722222222-2-2-2-12-1-122-12-111-2-2-1-1-111112200000-20-1-10000001100-2-2-2-2-2-2-2-22221-211-2-21-21-1-122111-1-1-1-1-2-2000002011000000-1-100
χ6822222222-2-2-2-12-1-122-12-111-2-2-1-1-11111-2-2000002011000000-1-100-2-2-2-2-2-2-2-22221-211-2-21-21-1-122111-1-1-1-12200000-20-1-10000001100
χ6922-2-222-2-2000222-22-2-2-2200002-2-2000000002i−2i00000002i−2i000000-2-222-2-222000-2-2-22-2222-20000-22200000000−2i2i0000000−2i2i000000
χ7022-2-222-2-2000222-22-2-2-2200002-2-200000000−2i2i0000000−2i2i000000-2-222-2-222000-2-2-22-2222-20000-222000000002i−2i00000002i−2i000000
χ712-22-22-22-200022-22-2-2-2220000-22-20000002-20000000000000002-2-22-22-22-22000-2-22-2222-2-200002-22000000-22000000000000000-22
χ722-22-22-22-200022-22-2-2-2220000-22-2000000-22000000000000000-22-22-22-22-22000-2-22-2222-2-200002-220000002-20000000000000002-2
χ732-22-22-22-20002-1-2211-2-1-100−i3i31-11−i3−i3i3i3002-20000000−i3i3000000-11-22-22-22-22000-212-2-1-121100i3−i3-11-1i3i3−i3−i300-220000000i3−i30000001-1
χ742-22-22-22-20002-1-2211-2-1-100−i3i31-11−i3−i3i3i300-220000000i3−i30000001-1-22-22-22-22000-212-2-1-121100i3−i3-11-1i3i3−i3−i3002-20000000−i3i3000000-11
χ752-22-22-22-20002-1-2211-2-1-100i3−i31-11i3i3−i3−i3002-20000000i3−i3000000-11-22-22-22-22000-212-2-1-121100−i3i3-11-1−i3−i3i3i300-220000000−i3i30000001-1
χ762-22-22-22-20002-1-2211-2-1-100i3−i31-11i3i3−i3−i300-220000000−i3i30000001-1-22-22-22-22000-212-2-1-121100−i3i3-11-1−i3−i3i3i3002-20000000i3−i3000000-11
χ772-2-222-2-2200022-2-2-222-220000-2-2200002-200000002-20000000000-222-2-222-2000-2-2222-2-22-2000022-20000-220000000-220000000000
χ782-2-222-2-2200022-2-2-222-220000-2-220000-220000000-220000000000-222-2-222-2000-2-2222-2-22-2000022-200002-200000002-20000000000
χ792-2-222-2-22000-1211-22-1-2-1−i3i30011-1−i3i3−i3i32-20000000-11000000−i3i300-222-2-222-20001-2-1-12-2121i3−i300-1-11i3−i3i3−i3-2200000001-1000000i3−i300
χ802-2-222-2-22000-1211-22-1-2-1−i3i30011-1−i3i3−i3i3-2200000001-1000000i3−i300-222-2-222-20001-2-1-12-2121i3−i300-1-11i3−i3i3−i32-20000000-11000000−i3i300
χ812-2-222-2-22000-1211-22-1-2-1i3−i30011-1i3−i3i3−i32-20000000-11000000i3−i300-222-2-222-20001-2-1-12-2121−i3i300-1-11−i3i3−i3i3-2200000001-1000000−i3i300
χ822-2-222-2-22000-1211-22-1-2-1i3−i30011-1i3−i3i3−i3-2200000001-1000000−i3i300-222-2-222-20001-2-1-12-2121−i3i300-1-11−i3i3−i3i32-20000000-11000000i3−i300
χ8344444444444-2-2-2-2-2-2-2-21-2-2-2-21111111000000000000000000000-4-4-4-4-4-4-4-4-4-4-422222222-12222-1-1-1-1-1-1-1000000000000000000000
χ8444444444-4-4-4-2-2-2-2-2-2-2-212222111-1-1-1-1000000000000000000000-4-4-4-4-4-4-4-444422222222-1-2-2-2-2-1-1-11111000000000000000000000
χ8544-4-444-4-40004-24-4-22-42-20000-2220000000000000000000000000-4-444-4-444000-42-442-24-2200002-2-20000000000000000000000000
χ8644-4-444-4-4000-24-224-42-4-20000-2220000000000000000000000000-4-444-4-4440002-42-2-44-24200002-2-20000000000000000000000000
χ8744-4-444-4-4000-2-2-22-2222100001-1-13-3-33000000000000000000000-4-444-4-444000222-22-2-2-2-10000-111-333-3000000000000000000000
χ8844-4-444-4-4000-2-2-22-2222100001-1-1-333-3000000000000000000000-4-444-4-444000222-22-2-2-2-10000-1113-3-33000000000000000000000
χ894-44-44-44-4000-242-2-4-424-200002-220000000000000000000000000-44-44-44-440002-4-2244-2-420000-22-20000000000000000000000000
χ904-44-44-44-4000-2-22-2222-2100−2i32i3-11-1i3i3−i3−i3000000000000000000000-44-44-44-4400022-22-2-2-22-1002i3−2i31-11−i3−i3i3i3000000000000000000000
χ914-44-44-44-4000-2-22-2222-21002i3−2i3-11-1−i3−i3i3i3000000000000000000000-44-44-44-4400022-22-2-2-22-100−2i32i31-11i3i3−i3−i3000000000000000000000
χ924-4-444-4-440004-2-4-42-242-2000022-20000000000000000000000000-444-4-444-4000-4244-22-4-220000-2-220000000000000000000000000
χ934-4-444-4-44000-2-2222-2-221−2i32i300-1-11i3−i3i3−i3000000000000000000000-444-4-444-400022-2-2-222-2-12i3−2i30011-1−i3i3−i3i3000000000000000000000
χ944-4-444-4-44000-2-2222-2-2212i3−2i300-1-11−i3i3−i3i3000000000000000000000-444-4-444-400022-2-2-222-2-1−2i32i30011-1i3−i3i3−i3000000000000000000000
χ956666-3-3-3-36-3-3000000000000000000000000220020000-1-1-1-10000-6-6-6-63333-633000000000000000000000000-2-200-2000011110000
χ966666-3-3-3-36-3-3000000000000000000000000-2-200-2000011110000-6-6-6-63333-633000000000000000000000000220020000-1-1-1-10000
χ976666-3-3-3-3-6330000000000000000000000002200-20000-1-1110000-6-6-6-633336-3-3000000000000000000000000-2-2002000011-1-10000
χ986666-3-3-3-3-633000000000000000000000000-2-2002000011-1-10000-6-6-6-633336-3-30000000000000000000000002200-20000-1-1110000
χ9966-6-6-3-3330−3i33i30000000000000000000000002i−2i0000000−ii3−30000-6-66633-3-303i3−3i3000000000000000000000000−2i2i0000000i−i−330000
χ10066-6-6-3-3330−3i33i3000000000000000000000000−2i2i0000000i−i−330000-6-66633-3-303i3−3i30000000000000000000000002i−2i0000000−ii3−30000
χ10166-6-6-3-33303i3−3i30000000000000000000000002i−2i0000000−ii−330000-6-66633-3-30−3i33i3000000000000000000000000−2i2i0000000i−i3−30000
χ10266-6-6-3-33303i3−3i3000000000000000000000000−2i2i0000000i−i3−30000-6-66633-3-30−3i33i30000000000000000000000002i−2i0000000−ii−330000
χ10312-1212-12-66-6600000000000000000000000000000000000000000000-1212-12126-66-600000000000000000000000000000000000000000000
χ10412-12-1212-666-600000000000000000000000000000000000000000000-121212-126-6-6600000000000000000000000000000000000000000000

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