Finite Group Databasebeta

← Group #13172682

Character table — Group #13172682

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123
size11112222222222224444444444444444444446666666666666666888888888888812121212121212121212121212121212121212121212121212121818181824242424242424242424363636363636363636363636363672108108
order122233366666666623336666666666666666622444444121212121212121236666666666664466661212121212121212121212121212121212121212222266121212121212121224446666121212121212624
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111-1-11111111111111111111111-11111-1-111-1-1-1-111111111111111-1-1111-111-1-1-1-1-1-11-1-1-111-1-1-1-111-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111111111111111111-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11-1-1-1-1-1-111-1-11-1-1
χ4111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111-111-1-1-1-1-11-1-111-1-111-1-1-1-1-111
χ51111111111111111111111111111111111111-1-1111111111111111111111111111-11-1-1-1-111111111-1-11111111111-1-111-1-1-11-1-11111-11-1-111-1-111-1-1-1-1-1-1-1
χ61111111111111111111111111111111111111-1-11111-1-1111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-111-1-1111
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-11111111111111-11-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11-1-11111-1-11-1-1-111-1-1-1-111-111
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111-1-1
χ91111111111111111-1111-1-1-1-1111-1-1-1-11111111111-1-1111111-1-1-1-11-1-1-1-1-1111-1-1-1-1-1-1111111-1-1-1-111-1-1111111-1-1-1-111-1-111-1-1-1-111-1-1-11-11-1-1111111-1-1-1-11
χ101111111111111111-1111-1-1-1-1111-1-1-1-11111111111-1-1-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-1-111111-1-1-1-111-1-1-1-1111111-1-1-1-1111111-11-1-1-1-1111-1-1-11111-1-1-1-1-1-111-1
χ111111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-11111-1-1-1-111111-1-1-1-1-1111-1-1-1-1-1-111111111-1-111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-111-1-1-1-11111-1-1-1-11111-11-1
χ121111111111111111-1111-1-1-1-1111-1-1-1-111111111-1-111-1-1-1-1-1-111111-1-1-1-1-1111-1-1-1-1-111111-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-11-1-1-1-111111-1-1-1-1-111-1-1111-11
χ131111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-111-1-1111111-1-1-1-11-1-1-1-1-1111-1-1-1-11-1-1-1-1-111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-11-11111-1-1111-1-1-1-1-111-1-11111-1
χ141111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-11-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-111-1-11111-1-111-1-11111-1-1-1-11111-1-11
χ151111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-1-1-11111-1-1-1-111111-1-1-1-1-1111-1-1-1-11-1-1-1-1-11111-1-11111-1-1-1-1-1-111111111-1-11-11111-1-11-1-1-11111-1-1-1-1-1-11-11
χ161111111111111111-1111-1-1-1-1111-1-1-1-1111111-1-1-1-111-1-1-1-1-1-111111-1-1-1-1-1111-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-111-11-11-1-1111111-1-1-11-1
χ17222222-122-12-122-1222-1-1222222-12222-1-1-1-1-122200002200000000-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1220022-1-12200000000000000-1-1-1-1-1-1-1-1-1-12002000000-1-100-100
χ18222222-122-12-122-1222-1-1222222-12222-1-1-1-1-12220000-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-12-222-1-1-2-200-2-2112200000000000000-1-1-11-1-11111-200-20000001100100
χ19222222-122-12-122-1222-1-1222222-12222-1-1-1-1-12-2-200002200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-22-2-211220022-1-1-2-200000000000000111-111-1-1-1-1-200-20000001100100
χ20222222-122-12-122-1222-1-1222222-12222-1-1-1-1-12-2-20000-2-200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211-2-200-2-211-2-20000000000000011111111112002000000-1-100-100
χ21222222-122-12-122-12-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-122200002200000000-111111-1-1-11111-2-222-1-12200-2-2-1-1-2-200000000000000-1-11111-1-111-2002000000-1-100100
χ22222222-122-12-122-12-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-12220000-2-200000000-111111-1-1-11111-2222-1-1-2-2002211-2-200000000000000-1-11-11111-1-1200-20000001100-100
χ23222222-122-12-122-12-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-12-2-200002200000000-111111-1-1-111112-2-2-2112200-2-2-1-1220000000000000011-11-1-1-1-111200-20000001100-100
χ24222222-122-12-122-12-22-1-1-2-2-2-222-1-2-2-2-2-1-1-1-1-12-2-20000-2-200000000-111111-1-1-1111122-2-211-2-2002211220000000000000011-1-1-1-111-1-1-2002000000-1-100100
χ2522222-12-1-1222222-12-12-122-1-1-1-12-1-1-1-1-1-122-1-1222222002222-1-1-1-1-1222-1-1-1-1-1-1-1-1-120-1-12200220000-1-1-1-1-1-1-1-1-1-1-1-12200-1-120-1-10000002000-1-10000-1-1000
χ2622222-12-1-1222222-12-12-122-1-1-1-12-1-1-1-1-1-122-1-122-2-2-2-200-2-2-2-21111-1222-1-1-1-1-1-1-1-1-120-1-12200-2-20000-1-11111111111-2-200-1-120-1-1000000-200011000011000
χ2722222-12-1-1222222-12-12-122-1-1-1-12-1-1-1-1-1-122-1-1-2-22222002222-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-2011-2-20022000011-1-1-1-1-1-1-1-1-1-1-2-20011-2011000000-200011000011000
χ2822222-12-1-1222222-12-12-122-1-1-1-12-1-1-1-1-1-122-1-1-2-2-2-2-2-200-2-2-2-21111-1222-1-1-1-1-1-1-1-1-1-2011-2-200-2-20000111111111111220011-20110000002000-1-10000-1-1000
χ2922222-12-1-1222222-1-2-12-1-2-211-1-121111-1-122-1-12222-2-20022221111-1-2-2-211-1-1-11111-20-1-12200-2-2000011-1-1-1-1-1-111112200-1-1-2011000000-2000-1-1000011000
χ3022222-12-1-1222222-1-2-12-1-2-211-1-121111-1-122-1-122-2-22200-2-2-2-2-1-1-1-1-1-2-2-211-1-1-11111-20-1-1220022000011111111-1-1-1-1-2-200-1-1-20110000002000110000-1-1000
χ3122222-12-1-1222222-1-2-12-1-2-211-1-121111-1-122-1-1-2-222-2-20022221111-1-2-2-211-1-1-111112011-2-200-2-20000-1-1-1-1-1-1-1-11111-2-2001120-1-10000002000110000-1-1000
χ3222222-12-1-1222222-1-2-12-1-2-211-1-121111-1-122-1-1-2-2-2-22200-2-2-2-2-1-1-1-1-1-2-2-211-1-1-111112011-2-200220000-1-1111111-1-1-1-122001120-1-1000000-2000-1-1000011000
χ332222-122222-12-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-100222222-1-1-1-12222-12-1-122-1-1-1-1-1-1-1020000-1-1-1-1-1-1220022-1-1-1-1-1-1-1-10022000200-1-1-1-10200-1-100-1-10000000
χ342222-122222-12-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-1002222-2-2-1-1-1-12222-12-1-122-1-1-1-1-1-1-10-2000011-1-111-2-20022-1-1-1-1-1-1-1-100-2-2000-20011110-2001100110000000
χ352222-122222-12-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-100-2-2-2-2221111-2-2-2-2-12-1-122-1-1-1-1-1-1-1020000-1-111-1-12200-2-21111111100-2-2000200-1-1-1-10-2001100110000000
χ362222-122222-12-1-1222-1-12-1-122-1-1-1-1-1-1-122-1-12-100-2-2-2-2-2-21111-2-2-2-2-12-1-122-1-1-1-1-1-1-10-20000111111-2-200-2-2111111110022000-20011110200-1-100-1-10000000
χ372222-122222-12-1-122-2-1-1211-2-2-1-1-1111122-1-12-10022-2-222-1-1-1-1-2-2-2-2-1-211-2-2-1-1-111110-20000-1-11111220022-1-1-1-1111100-2-2000-200-1-11102001100-1-10000000
χ382222-122222-12-1-122-2-1-1211-2-2-1-1-1111122-1-12-10022-2-2-2-2-1-1-1-1-2-2-2-2-1-211-2-2-1-1-111110200001111-1-1-2-20022-1-1-1-11111002200020011-1-10-200-1-100110000000
χ392222-122222-12-1-122-2-1-1211-2-2-1-1-1111122-1-12-100-2-2222211112222-1-211-2-2-1-1-111110-20000-1-1-1-1112200-2-21111-1-1-1-10022000-200-1-1110-200-1-100110000000
χ402222-122222-12-1-122-2-1-1211-2-2-1-1-1111122-1-12-100-2-222-2-211112222-1-211-2-2-1-1-1111102000011-1-1-1-1-2-200-2-21111-1-1-1-100-2-200020011-1-102001100-1-10000000
χ4122-2-22222-22-2-22-2-2-2022200002-2200002-2-2-2-2-200002i−2i2i−2i00002i2i−2i−2i2000002-2-200000000002i−2i2i−2i002i−2i000000002i2i−2i−2i002-20000002i−2i0000002-200000000000
χ4222-2-22222-22-2-22-2-2-2022200002-2200002-2-2-2-2-200002i−2i−2i2i00002i2i−2i−2i2000002-2-20000000000−2i2i2i−2i00−2i2i000000002i2i−2i−2i00-22000000−2i2i000000-2200000000000
χ4322-2-22222-22-2-22-2-2-2022200002-2200002-2-2-2-2-20000−2i2i2i−2i0000−2i−2i2i2i2000002-2-200000000002i−2i−2i2i002i−2i00000000−2i−2i2i2i00-220000002i−2i000000-2200000000000
χ4422-2-22222-22-2-22-2-2-2022200002-2200002-2-2-2-2-20000−2i2i−2i2i0000−2i−2i2i2i2000002-2-20000000000−2i2i−2i2i00−2i2i00000000−2i−2i2i2i002-2000000−2i2i0000002-200000000000
χ4522-2-2-1222-221-2-11-2-20-1-12−i3i300-11-1−i3−i3i3i32-211-2100002i−2i2i−2i33−3−32i2i−2i−2i-10−i3i300-111−i3−i3i3i3000000−ii−ii3−32i−2i000033−3−3−i−iii002-2000000−ii3−30000-1100−i3i30000000
χ4622-2-2-1222-221-2-11-2-20-1-12−i3i300-11-1−i3−i3i3i32-211-2100002i−2i−2i2i33−3−32i2i−2i−2i-10−i3i300-111−i3−i3i3i3000000i−i−ii−33−2i2i000033−3−3−i−iii00-22000000i−i−3300001-100i3−i30000000
χ4722-2-2-1222-221-2-11-2-20-1-12−i3i300-11-1−i3−i3i3i32-211-210000−2i2i2i−2i−3−333−2i−2i2i2i-10−i3i300-111−i3−i3i3i3000000−iii−i3−32i−2i0000−3−333ii−i−i00-22000000−ii3−300001-100i3−i30000000
χ4822-2-2-1222-221-2-11-2-20-1-12−i3i300-11-1−i3−i3i3i32-211-210000−2i2i−2i2i−3−333−2i−2i2i2i-10−i3i300-111−i3−i3i3i3000000i−ii−i−33−2i2i0000−3−333ii−i−i002-2000000i−i−330000-1100−i3i30000000
χ4922-2-2-1222-221-2-11-2-20-1-12i3−i300-11-1i3i3−i3−i32-211-2100002i−2i2i−2i−3−3332i2i−2i−2i-10i3−i300-111i3i3−i3−i3000000−ii−ii−332i−2i0000−3−333−i−iii002-2000000−ii−330000-1100i3−i30000000
χ5022-2-2-1222-221-2-11-2-20-1-12i3−i300-11-1i3i3−i3−i32-211-2100002i−2i−2i2i−3−3332i2i−2i−2i-10i3−i300-111i3i3−i3−i3000000i−i−ii3−3−2i2i0000−3−333−i−iii00-22000000i−i3−300001-100−i3i30000000
χ5122-2-2-1222-221-2-11-2-20-1-12i3−i300-11-1i3i3−i3−i32-211-210000−2i2i2i−2i33−3−3−2i−2i2i2i-10i3−i300-111i3i3−i3−i3000000−iii−i−332i−2i000033−3−3ii−i−i00-22000000−ii−3300001-100−i3i30000000
χ5222-2-2-1222-221-2-11-2-20-1-12i3−i300-11-1i3i3−i3−i32-211-210000−2i2i−2i2i33−3−3−2i−2i2i2i-10i3−i300-111i3i3−i3−i3000000i−ii−i3−3−2i2i000033−3−3ii−i−i002-2000000i−i3−30000-1100i3−i30000000
χ532-22-2222-2-2-2-22-22-2202220000-2-2-20000-2-22-2222-22-200002-22-20000200000-22-20000002-22-200000000002-22-22-200002-2002-2000000000000002-2000000000
χ542-22-2222-2-2-2-22-22-2202220000-2-2-20000-2-22-2222-2-220000-22-220000200000-22-20000002-22-20000000000-22-22-220000-22002-200000000000000-22000000000
χ552-22-2222-2-2-2-22-22-2202220000-2-2-20000-2-22-222-222-200002-22-20000200000-22-2000000-22-2200000000002-22-22-20000-2200-2200000000000000-22000000000
χ562-22-2222-2-2-2-22-22-2202220000-2-2-20000-2-22-222-22-220000-22-220000200000-22-2000000-22-220000000000-22-22-2200002-200-22000000000000002-2000000000
χ572-22-22-1211-2-22-22-2-10-12-100−i3i311-2−i3i3−i3i3112-2-1-12-22-200002-22-2−i3i3−i3i3-1000−i3i31-11−i3i3−i3i300-112-200000000−i3i3-11-11-11−i3i3−i3i32-200-1100−i3i30000000000-110000−i3i3000
χ582-22-22-1211-2-22-22-2-10-12-100−i3i311-2−i3i3−i3i3112-2-1-12-2-220000-22-22i3−i3i3−i3-1000−i3i31-11−i3i3−i3i300-112-200000000−i3i31-11-11-1i3−i3i3−i3-2200-1100−i3i300000000001-10000i3−i3000
χ592-22-22-1211-2-22-22-2-10-12-100−i3i311-2−i3i3−i3i3112-2-1-1-222-200002-22-2−i3i3−i3i3-1000−i3i31-11−i3i3−i3i3001-1-2200000000i3−i3-11-11-11−i3i3−i3i3-22001-100i3−i300000000001-10000i3−i3000
χ602-22-22-1211-2-22-22-2-10-12-100−i3i311-2−i3i3−i3i3112-2-1-1-22-220000-22-22i3−i3i3−i3-1000−i3i31-11−i3i3−i3i3001-1-2200000000i3−i31-11-11-1i3−i3i3−i32-2001-100i3−i30000000000-110000−i3i3000
χ612-22-22-1211-2-22-22-2-10-12-100i3−i311-2i3−i3i3−i3112-2-1-12-22-200002-22-2i3−i3i3−i3-1000i3−i31-11i3−i3i3−i300-112-200000000i3−i3-11-11-11i3−i3i3−i32-200-1100i3−i30000000000-110000i3−i3000
χ622-22-22-1211-2-22-22-2-10-12-100i3−i311-2i3−i3i3−i3112-2-1-12-2-220000-22-22−i3i3−i3i3-1000i3−i31-11i3−i3i3−i300-112-200000000i3−i31-11-11-1−i3i3−i3i3-2200-1100i3−i300000000001-10000−i3i3000
χ632-22-22-1211-2-22-22-2-10-12-100i3−i311-2i3−i3i3−i3112-2-1-1-222-200002-22-2i3−i3i3−i3-1000i3−i31-11i3−i3i3−i3001-1-2200000000−i3i3-11-11-11i3−i3i3−i3-22001-100−i3i300000000001-10000−i3i3000
χ642-22-22-1211-2-22-22-2-10-12-100i3−i311-2i3−i3i3−i3112-2-1-1-22-220000-22-22−i3i3−i3i3-1000i3−i31-11i3−i3i3−i3001-1-2200000000−i3i31-11-11-1−i3i3−i3i32-2001-100−i3i30000000000-110000i3−i3000
χ6544444-2-2-2-2-24-244-2-24-2-2144-2-2-2-2-2-2-2-2-211-2-21-244000000000000001-2-2-211111111140-2-2-2-200000000-2-20000000000000011-2011000000000000000000000
χ6644444-2-2-2-2-24-244-2-24-2-2144-2-2-2-2-2-2-2-2-211-2-21-2-4-4000000000000001-2-2-2111111111-402222000000002200000000000000-1-120-1-1000000000000000000000
χ6744444-2-2-2-2-24-244-2-2-4-2-21-4-422-2-2-2222211-2-21-244000000000000001222-1-1111-1-1-1-1-40-2-2-2-20000000022000000000000001120-1-1000000000000000000000
χ6844444-2-2-2-2-24-244-2-2-4-2-21-4-422-2-2-2222211-2-21-2-4-4000000000000001222-1-1111-1-1-1-140222200000000-2-200000000000000-1-1-2011000000000000000000000
χ694444-24-244-2-2-2-2-2-244-21-2-2-244-2-21-2-2-2-2-2-211-2-200000044000000001-211-2-21111111040000-2-200-2-2-2-20000000000000000000-200111100000000000000000
χ704444-24-244-2-2-2-2-2-244-21-2-2-244-2-21-2-2-2-2-2-211-2-2000000-4-4000000001-211-2-211111110-40000220022220000000000000000000200-1-1-1-100000000000000000
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Here i is the imaginary unit (i² = −1).