Finite Group Databasebeta

← Group #13042020

Character table — Group #13042020

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92
size11112222222244444445555888888888888888888101010101010101010101010101010102020202020202020202020202020202020202020202020323232324040404040404040
order12224444888845881010102222222220202020202040404040404040404444444444448888444444444444488888888881010101022224444
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1
χ311111111111111111111111-1-1-1-111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1
χ411111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-1111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111-1-1-1-1111111111111111111-1-1-1iiii−i−i−i−i-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1iiii−i−i−i−i1111-1-1-1-1ii−i−i
χ61111111111111111111-1-1-1-1111111111111111111-1-1-1−i−i−i−iiiii-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1−i−i−i−iiiii1111-1-1-1-1−i−iii
χ71111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1iiii−i−i−i−i-1-1-1-1-1-1ii−i−i−i−i−i−iiiii-1-1iiii−i−i−i−i-1-1-1-11111−i−iii
χ81111111111111111111-1-1-1-1-1-1-1-111111111111111-1-1-1−i−i−i−iiiii-1-1-1-1-1-1−i−iiiiiii−i−i−i−i-1-1−i−i−i−iiiii-1-1-1-11111ii−i−i
χ911111111-1-1-1-111-1-1111111111-1-1111111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11-11-1
χ1011111111-1-1-1-111-1-1111111111-1-1111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-1-1-111-1-111-1-11111111111-1-111-1-1-11-11
χ1111111111-1-1-1-111-1-11111111-1-111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-11-11
χ1211111111-1-1-1-111-1-11111111-1-111111111-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-11-1-1-1-11-1-1-1-111-1-111-1-1-1-111111111-1-111-1-1111-11-1
χ1311111111-1-1-1-111-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-11111-1ii−i−iii−i−i−i−iii11−i−i−i−iiiii11-1-1-1-111i−i−ii
χ1411111111-1-1-1-111-1-1111-1-1-1-111-1-1111111-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-11111-1−i−iii−i−iiiii−i−i11iiii−i−i−i−i11-1-1-1-111−iii−i
χ1511111111-1-1-1-111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1iiii−i−i−i−i-11111-1ii−i−i−i−iiiii−i−i11−i−i−i−iiiii-1-11111-1-1−iii−i
χ1611111111-1-1-1-111-1-1111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1−i−i−i−iiiii-11111-1−i−iiiii−i−i−i−iii11iiii−i−i−i−i-1-11111-1-1i−i−ii
χ171111-1-1111111-11-1-111111111-11-1-1-1-1-1111111-1-1-1-11-1-111-1-111-1-111111-11-11-111111111-1-111-1-111-1-11-11-11-11-1-1-1-1-1
χ181111-1-1111111-11-1-111111111-11-1-1-1-1-1111111-1-1-1-11-1-1-1-111-1-11111111-1-11-11-1-1-1-1-1-1-1-1-1-1-1-111-1-1111-11-11-11-11111
χ191111-1-1111111-11-1-11111111-11-11-1-1-1-1111111-1-1-1-11-1-111-1-111-1-111111-11-11-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11-11-11-111111
χ201111-1-1111111-11-1-11111111-11-11-1-1-1-1111111-1-1-1-11-1-1-1-111-1-11111111-1-11-1111111111-1-1-1-111-1-111-11-11-11-11-1-1-1-1
χ211111-1-1111111-11-1-1111-1-1-1-11-11-1-1-1-1-1111111-1-1-1-1-111ii−i−i−i−iii-1-1-1-1-11i−i−iiiiii−i−i−i−i11ii−i−i−i−iii1-11-1-11-11−i−iii
χ221111-1-1111111-11-1-1111-1-1-1-11-11-1-1-1-1-1111111-1-1-1-1-111−i−iiiii−i−i-1-1-1-1-11−iii−i−i−i−i−iiiii11−i−iiiii−i−i1-11-1-11-11ii−i−i
χ231111-1-1111111-11-1-1111-1-1-1-1-11-11-1-1-1-1111111-1-1-1-1-111ii−i−i−i−iii-1-1-1-1-11i−i−ii−i−i−i−iiiii11ii−i−i−i−iii-11-111-11-1ii−i−i
χ241111-1-1111111-11-1-1111-1-1-1-1-11-11-1-1-1-1111111-1-1-1-1-111−i−iiiii−i−i-1-1-1-1-11−iii−iiiii−i−i−i−i11−i−iiiii−i−i-11-111-11-1−i−iii
χ251111-1-111-1-1-1-1-111111111111-1-11-1-1-1-111-1-1-1-111111-1-111-1-111-1-11-1-1-1-1-11-11-111-1-111-1-111-1-111-1-1111-1-111-1-11-11-11
χ261111-1-111-1-1-1-1-111111111111-1-11-1-1-1-111-1-1-1-111111-1-1-1-111-1-1111-1-1-1-1-1-11-11-1-111-1-1111111-1-111-1-11-1-111-1-111-11-1
χ271111-1-111-1-1-1-1-11111111111-111-1-1-1-1-111-1-1-1-111111-1-111-1-111-1-11-1-1-1-1-11-11-1-1-111-1-11111-1-111-1-111-111-1-111-11-11-1
χ281111-1-111-1-1-1-1-11111111111-111-1-1-1-1-111-1-1-1-111111-1-1-1-111-1-1111-1-1-1-1-1-11-1111-1-111-1-11111-1-111-1-1-111-1-111-1-11-11
χ291111-1-111-1-1-1-1-1111111-1-1-1-11-1-11-1-1-1-111-1-1-1-11111-111ii−i−i−i−iii-111111i−i−iiii−i−i−i−iii-1-1−i−iiiii−i−i1-1-11-111-1−iii−i
χ301111-1-111-1-1-1-1-1111111-1-1-1-11-1-11-1-1-1-111-1-1-1-11111-111−i−iiiii−i−i-111111−iii−i−i−iiiii−i−i-1-1ii−i−i−i−iii1-1-11-111-1i−i−ii
χ311111-1-111-1-1-1-1-1111111-1-1-1-1-111-1-1-1-1-111-1-1-1-11111-111ii−i−i−i−iii-111111i−i−ii−i−iiiii−i−i-1-1−i−iiiii−i−i-111-11-1-11i−i−ii
χ321111-1-111-1-1-1-1-1111111-1-1-1-1-111-1-1-1-1-111-1-1-1-11111-111−i−iiiii−i−i-111111−iii−iii−i−i−i−iii-1-1ii−i−i−i−iii-111-11-1-11−iii−i
χ33222222-2-20000-22002222222000022-2-2-2-200000000-22222222222-20000-2-2-2-2-2000000000000000000000000000000
χ34222222-2-20000-22002222222000022-2-2-2-200000000-222-2-2-2-2-2-2-2-2-20000-22222000000000000000000000000000000
χ35222222-2-20000-2200222-2-2-2-2000022-2-2-2-2000000002-2-22i2i2i2i−2i−2i−2i−2i200002−2i−2i2i2i000000000000000000000000000000
χ36222222-2-20000-2200222-2-2-2-2000022-2-2-2-2000000002-2-2−2i−2i−2i−2i2i2i2i2i2000022i2i−2i−2i000000000000000000000000000000
χ372222-2-2-2-20000220022222220000-2-222-2-200000000-2-2-222-2-222-2-2-200002-22-22000000000000000000000000000000
χ382222-2-2-2-20000220022222220000-2-222-2-200000000-2-2-2-2-222-2-222-2000022-22-2000000000000000000000000000000
χ392222-2-2-2-200002200222-2-2-2-20000-2-222-2-2000000002222i2i−2i−2i−2i−2i2i2i20000-2−2i2i2i−2i000000000000000000000000000000
χ402222-2-2-2-200002200222-2-2-2-20000-2-222-2-200000000222−2i−2i2i2i2i2i−2i−2i20000-22i−2i−2i2i000000000000000000000000000000
χ4122-2-2002-222-2-202002-2-22-22-2000000002-222-2-2000020000000000-222-2-2000002i−2i2i−2i2i−2i2i−2i0000000000000000000000
χ4222-2-2002-222-2-202002-2-22-22-2000000002-222-2-2000020000000000-222-2-200000−2i2i−2i2i−2i2i−2i2i0000000000000000000000
χ4322-2-2002-222-2-202002-2-2-22-22000000002-222-2-20000-200000000002-2-222000002-22-2-22-220000000000000000000000
χ4422-2-2002-222-2-202002-2-2-22-22000000002-222-2-20000-200000000002-2-22200000-22-222-22-20000000000000000000000
χ4522-2-2002-2-2-22202002-2-22-22-2000000002-2-2-222000020000000000-2-2-222000002i−2i−2i2i2i−2i−2i2i0000000000000000000000
χ4622-2-2002-2-2-22202002-2-22-22-2000000002-2-2-222000020000000000-2-2-22200000−2i2i2i−2i−2i2i2i−2i0000000000000000000000
χ4722-2-2002-2-2-22202002-2-2-22-22000000002-2-2-2220000-20000000000222-2-2000002-2-22-222-20000000000000000000000
χ4822-2-2002-2-2-22202002-2-2-22-22000000002-2-2-2220000-20000000000222-2-200000-222-22-2-220000000000000000000000
χ492-22-22-2002−22−2022−2-22-222-2-200002-200002−22−222−2−202-22i−2i2i−2i2i−2i2i−2i02−22−200000000000002−2i2−i2i2−i2i2−i2i2−i2000000000000
χ502-22-22-2002−22−2022−2-22-222-2-200002-200002−22−222−2−202-2−2i2i−2i2i−2i2i−2i2i02−22−200000000000002−2−i2i2−i2i2−i2i2−i2i2000000000000
χ512-22-22-2002−22−2022−2-22-2-2-22200002-200002−22−222−2−20-222-22-2-22-220−22−220000000000000−222−22−2−22−22000000000000
χ522-22-22-2002−22−2022−2-22-2-2-22200002-200002−22−222−2−20-22-22-222-22-20−22−220000000000000−22−22−222−22−2000000000000
χ532-22-22-200−22−2202−22-22-222-2-200002-20000−22−22−2−22202-22i−2i2i−2i2i−2i2i−2i0−22−220000000000000−22−i2i2−i2i2−i2i2−i2i2000000000000
χ542-22-22-200−22−2202−22-22-222-2-200002-20000−22−22−2−22202-2−2i2i−2i2i−2i2i−2i2i0−22−220000000000000−22i2−i2i2−i2i2−i2i2−i2000000000000
χ552-22-22-200−22−2202−22-22-2-2-22200002-20000−22−22−2−2220-222-22-2-22-2202−22−200000000000002−2−22−222−22−2000000000000
χ562-22-22-200−22−2202−22-22-2-2-22200002-20000−22−22−2−2220-22-22-222-22-202−22−200000000000002−22−22−2−22−22000000000000
χ572-22-2-22002−22−202−22-22-222-2-20000-2200002−22−2−2−2220-222i−2i−2i2i2i−2i−2i2i02−22−20000000000000−22i2−i2−i2i2i2−i2−i2i2000000000000
χ582-22-2-22002−22−202−22-22-222-2-20000-2200002−22−2−2−2220-22−2i2i2i−2i−2i2i2i−2i02−22−20000000000000−22−i2i2i2−i2−i2i2i2−i2000000000000
χ592-22-2-22002−22−202−22-22-2-2-2220000-2200002−22−2−2−22202-22-2-22-222-20−22−2200000000000002−22−2−22−222−2000000000000
χ602-22-2-22002−22−202−22-22-2-2-2220000-2200002−22−2−2−22202-2-222-22-2-220−22−2200000000000002−2−222−22−2−22000000000000
χ612-22-2-2200−22−22022−2-22-222-2-20000-220000−22−2222−2−20-222i−2i−2i2i2i−2i−2i2i0−22−2200000000000002−2−i2i2i2−i2−i2i2i2−i2000000000000
χ622-22-2-2200−22−22022−2-22-222-2-20000-220000−22−2222−2−20-22−2i2i2i−2i−2i2i2i−2i0−22−2200000000000002−2i2−i2−i2i2i2−i2−i2i2000000000000
χ632-22-2-2200−22−22022−2-22-2-2-2220000-220000−22−2222−2−202-22-2-22-222-202−22−20000000000000−22−222−22−2−22000000000000
χ642-22-2-2200−22−22022−2-22-2-2-2220000-220000−22−2222−2−202-2-222-22-2-2202−22−20000000000000−222−2−22−222−2000000000000
χ654444444444444-144-1-1-100004444-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000-1-1-1-100000000
χ664444444444444-144-1-1-10000-4-4-4-4-1-1-1-1-1-1-1-1-1-1-1-1-1-1000000000000000000000000000000000000000111100000000
χ6744444444-4-4-4-44-1-4-4-1-1-1000044-4-4-1-1-1-1-1-111111111000000000000000000000000000000000000000-1-11100000000
χ6844444444-4-4-4-44-1-4-4-1-1-10000-4-444-1-1-1-1-1-11111111100000000000000000000000000000000000000011-1-100000000
χ694444-4-4444444-4-1-4-4-1-1-100004-44-41111-1-1-1-1-1-11111000000000000000000000000000000000000000-11-1100000000
χ704444-4-4444444-4-1-4-4-1-1-10000-44-441111-1-1-1-1-1-111110000000000000000000000000000000000000001-11-100000000
χ714444-4-444-4-4-4-4-4-144-1-1-100004-4-441111-1-11111-1-1-1-1000000000000000000000000000000000000000-111-100000000
χ724444-4-444-4-4-4-4-4-144-1-1-10000-444-41111-1-11111-1-1-1-10000000000000000000000000000000000000001-1-1100000000
χ7344-4-400-44000004004-4-44-44-400000000-4400000000-400000000004000000000000000000000000000000000000000
χ7444-4-400-44000004004-4-4-44-4400000000-440000000040000000000-4000000000000000000000000000000000000000
χ754-4-44000022−22−22220400-4-444-4-44000000000022−22−2222000000000000000022−22−222200000000000000000000000000000000000
χ764-4-44000022−22−22220400-4-44-444-4000000000022−22−22220000000000000000−222222−2200000000000000000000000000000000000
χ774-4-440000−222222−220400-4-444-4-440000000000−222222−220000000000000000−222222−2200000000000000000000000000000000000
χ784-4-440000−222222−220400-4-44-444-40000000000−222222−22000000000000000022−22−222200000000000000000000000000000000000
χ79888888-8-80000-8-200-2-2-200000000-2-2222200000000000000000000000000000000000000000000000000000000000
χ808888-8-8-8-800008-200-2-2-20000000022-2-22200000000000000000000000000000000000000000000000000000000000
χ8188-8-8008-888-8-80-200-222000000000000-22-2-2220000000000000000000000000000000000000000000000000000000
χ8288-8-8008-8-8-8880-200-222000000000000-2222-2-20000000000000000000000000000000000000000000000000000000
χ8388-8-800-8800000-200-2220000000000002-2000025−2525−25000000000000000000000000000000000000000000000000000
χ8488-8-800-8800000-200-2220000000000002-20000−2525−2525000000000000000000000000000000000000000000000000000
χ858-88-88-80042−4242−420-242−422-2200000000-220000−22−22−2−222000000000000000000000000000000000000000000000000000
χ868-88-88-800−4242−42420-2−42422-2200000000-2200002−22−222−2−2000000000000000000000000000000000000000000000000000
χ878-88-8-880042−4242−420-2−42422-22000000002-20000−22−2222−2−2000000000000000000000000000000000000000000000000000
χ888-88-8-8800−4242−42420-242−422-22000000002-200002−22−2−2−222000000000000000000000000000000000000000000000000000
χ898-8-88000042−42−42420-20022-2000000000025−2500−222−210−10−1010000000000000000000000000000000000000000000000000000
χ908-8-88000042−42−42420-20022-20000000000−252500−222−2−101010−10000000000000000000000000000000000000000000000000000
χ918-8-880000−424242−420-20022-2000000000025−25002−2−22−101010−10000000000000000000000000000000000000000000000000000
χ928-8-880000−424242−420-20022-20000000000−2525002−2−2210−10−1010000000000000000000000000000000000000000000000000000

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