Finite Group Databasebeta

← Group #13032712

Character table — Group #13032712

Order 1280.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98
size1111222222224444444444444445555888888888888881010101010101010101010101010101016161616161616162020202020202020202020202020202020202040404040404040404040
order12222244888844444588101010101010104444442020202040404040404040404444888888888888202020202020202022444888888888888882488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1
χ3111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i11111111-1-1-1-1-1-1-1ii−i−iiiii−i−i−i−i-1-1iiii−i−i−i−i
χ4111111111111111111111111111-1-1-1-111111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii11111111-1-1-1-1-1-1-1−i−iii−i−i−i−iiiii-1-1−i−i−i−iiiii
χ51111111111111-1-1-1-111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-11-1-111111111111111-1-1-1-1-1-1-1-1-1-1
χ61111111111111-1-1-1-111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1iiii−i−i−i−i-1-1-1-1-1-1-1-111-111-1-1ii−i−iiiii−i−i−i−i11−i−i−i−iiiii
χ81111111111111-1-1-1-11111111111-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1−i−i−i−iiiii-1-1-1-1-1-1-1-111-111-1-1−i−iii−i−i−i−iiiii11iiii−i−i−i−i
χ911111111-1-1-1-1111-1-11-1-1111111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1111-1-11111-1-1-1-1-1-1-1-1-1111-1-111-1-1
χ1011111111-1-1-1-1111-1-11-1-1111111111111-11111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1111-1-1-1-1-1-111111111-11-1-111-1-111
χ1111111111-1-1-1-1111-1-11-1-11111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i-1-1-1-1111111-1-1-111ii−i−i−i−i−i−iiiii1-1ii−i−i−i−iii
χ1211111111-1-1-1-1111-1-11-1-11111111-1-1-1-11-11111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii-1-1-1-1111111-1-1-111−i−iiiiiii−i−i−i−i1-1−i−iiiii−i−i
χ1311111111-1-1-1-11-1-1111-1-111111111111-111111-1-1-1-1-1-1-1-11111-1-1-1-1111111111111-1-1-1-1111-1-1-1-11111-1-1-1-1-1-1-1-11-1-1-111-1-111
χ1411111111-1-1-1-11-1-1111-1-111111111111-111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1111-1-1-1-1-1-1-1-1111111111-111-1-111-1-1
χ1511111111-1-1-1-11-1-1111-1-11111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111iiii−i−i−i−i1111-1-1-1-1-1-1-11111ii−i−i−i−i−i−iiiii-11−i−iiiii−i−i
χ1611111111-1-1-1-11-1-1111-1-11111111-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-11111−i−i−i−iiiii1111-1-1-1-1-1-1-11111−i−iiiiiii−i−i−i−i-11ii−i−i−i−iii
χ171111-1-1111111-111111-1-11-1-1-1-1111111-1-11-1-111111-1-1-1-1-1-111111111-1-111-1-111-1-111-1-111-111-1-11-11-111-1-111-1-1-1-11-11-11-11-1
χ181111-1-1111111-111111-1-11-1-1-1-1111111-1-11-1-111111-1-1-1-1-1-1111111-1-111-1-11111-1-111-1-111-111-1-1-11-11-1-111-1-111-1-1-11-11-11-11
χ191111-1-1111111-111111-1-11-1-1-1-111-1-1-1-1-1-11-1-111111-1-1-1-111-1-1-1-1-1-1ii−i−i−i−iii11-1-111-1-1-1-11-1-111i−i−iiii−i−i−i−iii11i−ii−i−ii−ii
χ201111-1-1111111-111111-1-11-1-1-1-111-1-1-1-1-1-11-1-111111-1-1-1-111-1-1-1-1-1-1−i−iiiii−i−i11-1-111-1-1-1-11-1-111−iii−i−i−iiiii−i−i11−ii−iii−ii−i
χ211111-1-1111111-1-1-1-1-11-1-11-1-1-1-1111111111-1-111111-1-1-1-1-1-111111111-1-111-1-1-1-111-1-111-1-1-1-1-1-1-11-11-111-1-111-1-111-11-11-11-11
χ221111-1-1111111-1-1-1-1-11-1-11-1-1-1-1111111111-1-111111-1-1-1-1-1-1111111-1-111-1-111-1-111-1-111-1-1-1-1-1-1-1-11-11-1-111-1-111111-11-11-11-1
χ231111-1-1111111-1-1-1-1-11-1-11-1-1-1-111-1-1-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1ii−i−i−i−iii-1-111-1-1111111111i−i−iiii−i−i−i−iii-1-1−ii−iii−ii−i
χ241111-1-1111111-1-1-1-1-11-1-11-1-1-1-111-1-1-1-1111-1-111111-1-1-1-111-1-1-1-1-1-1−i−iiiii−i−i-1-111-1-1111111111−iii−i−i−iiiii−i−i-1-1i−ii−i−ii−ii
χ251111-1-111-1-1-1-1-111-1-11111-1-1-1-1111111-111-1-11-1-1-1-11111-1-111-1-1-1-111-1-111-1-1-1-11111-1-1-1-1-111111-11-1-1-111-1-1111-11-1-111-1-11
χ261111-1-111-1-1-1-1-111-1-11111-1-1-1-1111111-111-1-11-1-1-1-11111-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-11111-11-1111-1-111-1-11-1-111-1-111-1
χ271111-1-111-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-111-1-11-1-1-1-1111111-1-11111ii−i−i−i−iii-1-11111-1-1111-1-1-1-1i−i−ii−i−iiiii−i−i-11i−i−ii−iii−i
χ281111-1-111-1-1-1-1-111-1-11111-1-1-1-111-1-1-1-1-111-1-11-1-1-1-1111111-1-11111−i−iiiii−i−i-1-11111-1-1111-1-1-1-1−iii−iii−i−i−i−iii-11−iii−ii−i−ii
χ291111-1-111-1-1-1-1-1-1-1111111-1-1-1-11111111-11-1-11-1-1-1-11111-1-111-1-1-1-111-1-111-1-111-1-1-1-11111-1-1-1111-11-1-1-111-1-111-11-111-1-111-1
χ301111-1-111-1-1-1-1-1-1-1111111-1-1-1-11111111-11-1-11-1-1-1-11111-1-111-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-111-11-1111-1-111-1-1-111-1-111-1-11
χ311111-1-111-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11-11-1-11-1-1-1-1111111-1-11111ii−i−i−i−iii11-1-1-1-111-1-1111-1-1i−i−ii−i−iiiii−i−i1-1−iii−ii−i−ii
χ321111-1-111-1-1-1-1-1-1-1111111-1-1-1-111-1-1-1-11-11-1-11-1-1-1-1111111-1-11111−i−iiiii−i−i11-1-1-1-111-1-1111-1-1−iii−iii−i−i−i−iii1-1i−i−ii−iii−i
χ33222222-2-20000-200002002222222222200-2-2-2-20000000022-2-20000222222220000000000-20000-2-2-2-2000000000000000000
χ34222222-2-20000-200002002222222222200-2-2-2-20000000022-2-20000-2-2-2-2-2-2-2-20000000000-200002222000000000000000000
χ35222222-2-20000-200002002222222-2-2-2-200-2-2-2-200000000-2-22200002i2i2i2i−2i−2i−2i−2i000000000020000−2i−2i2i2i000000000000000000
χ36222222-2-20000-200002002222222-2-2-2-200-2-2-2-200000000-2-2220000−2i−2i−2i−2i2i2i2i2i0000000000200002i2i−2i−2i000000000000000000
χ372222-2-2-2-20000200002002-2-2-2-222222200-222-200000000-2-2-2-2000022-2-222-2-2000000000020000-22-22000000000000000000
χ382222-2-2-2-20000200002002-2-2-2-222222200-222-200000000-2-2-2-20000-2-222-2-2220000000000200002-22-2000000000000000000
χ392222-2-2-2-20000200002002-2-2-2-222-2-2-2-200-222-200000000222200002i2i−2i−2i−2i−2i2i2i0000000000-20000−2i2i2i−2i000000000000000000
χ402222-2-2-2-20000200002002-2-2-2-222-2-2-2-200-222-20000000022220000−2i−2i2i2i2i2i−2i−2i0000000000-200002i−2i−2i2i000000000000000000
χ4122-2-200-222i2i−2i−2i02-22i−2i200-20000-222i2i−2i−2i00200-22i2i−2i−2i0000002i−2i22-2-2000000002i−2i002-2002-202i−2i000000000000000000000000
χ4222-2-200-222i2i−2i−2i02-22i−2i200-20000-22−2i−2i2i2i00200-22i2i−2i−2i000000−2i2i-2-222000000002i−2i002-200-220−2i2i000000000000000000000000
χ4322-2-200-222i2i−2i−2i0-22−2i2i200-20000-222i2i−2i−2i00200-22i2i−2i−2i0000002i−2i22-2-200000000−2i2i00-2200-220−2i2i000000000000000000000000
χ4422-2-200-222i2i−2i−2i0-22−2i2i200-20000-22−2i−2i2i2i00200-22i2i−2i−2i000000−2i2i-2-22200000000−2i2i00-22002-202i−2i000000000000000000000000
χ4522-2-200-22−2i−2i2i2i02-2−2i2i200-20000-222i2i−2i−2i00200-2−2i−2i2i2i0000002i−2i-2-22200000000−2i2i002-200-2202i−2i000000000000000000000000
χ4622-2-200-22−2i−2i2i2i02-2−2i2i200-20000-22−2i−2i2i2i00200-2−2i−2i2i2i000000−2i2i22-2-200000000−2i2i002-2002-20−2i2i000000000000000000000000
χ4722-2-200-22−2i−2i2i2i0-222i−2i200-20000-222i2i−2i−2i00200-2−2i−2i2i2i0000002i−2i-2-222000000002i−2i00-22002-20−2i2i000000000000000000000000
χ4822-2-200-22−2i−2i2i2i0-222i−2i200-20000-22−2i−2i2i2i00200-2−2i−2i2i2i000000−2i2i22-2-2000000002i−2i00-2200-2202i−2i000000000000000000000000
χ492-22-22-200i2−i2i2−i2000002i2−i2-222-2-22-22-22-2000000i2−i2i2−i2i2i2−i2−i22-200i2−i2i2−i22-22-22-22-20000000000000i2−i20000i2−i2i2−i2i2−i2i2−i20000000000
χ502-22-22-200i2−i2i2−i2000002i2−i2-222-2-22-22-22-2000000i2−i2i2−i2i2i2−i2−i22-200i2−i2i2−i2-22-22-22-220000000000000i2−i20000−i2i2−i2i2−i2i2−i2i20000000000
χ512-22-22-200i2−i2i2−i2000002i2−i2-222-2-22-2-22-22000000i2−i2i2−i2i2i2−i2−i2-2200−i2i2−i2i22i−2i2i−2i−2i2i−2i2i0000000000000−i2i20000−22−222−22−20000000000
χ522-22-22-200i2−i2i2−i2000002i2−i2-222-2-22-2-22-22000000i2−i2i2−i2i2i2−i2−i2-2200−i2i2−i2i2−2i2i−2i2i2i−2i2i−2i0000000000000−i2i200002−22−2−22−220000000000
χ532-22-22-200−i2i2−i2i2000002−i2i2-222-2-22-22-22-2000000−i2i2−i2i2−i2−i2i2i22-200−i2i2−i2i22-22-22-22-20000000000000−i2i20000−i2i2−i2i2−i2i2−i2i20000000000
χ542-22-22-200−i2i2−i2i2000002−i2i2-222-2-22-22-22-2000000−i2i2−i2i2−i2−i2i2i22-200−i2i2−i2i2-22-22-22-220000000000000−i2i20000i2−i2i2−i2i2−i2i2−i20000000000
χ552-22-22-200−i2i2−i2i2000002−i2i2-222-2-22-2-22-22000000−i2i2−i2i2−i2−i2i2i2-2200i2−i2i2−i22i−2i2i−2i−2i2i−2i2i0000000000000i2−i200002−22−2−22−220000000000
χ562-22-22-200−i2i2−i2i2000002−i2i2-222-2-22-2-22-22000000−i2i2−i2i2−i2−i2i2i2-2200i2−i2i2−i2−2i2i−2i2i2i−2i2i−2i0000000000000i2−i20000−22−222−22−20000000000
χ572-22-2-2200i2−i2i2−i2000002−i2i2-2-2-2222-22-22-2000000i2−i2i2−i2−i2−i2i2i2-2200i2−i2i2−i22-2-222-2-220000000000000−i2i20000i2−i2−i2i2i2−i2−i2i20000000000
χ582-22-2-2200i2−i2i2−i2000002−i2i2-2-2-2222-22-22-2000000i2−i2i2−i2−i2−i2i2i2-2200i2−i2i2−i2-222-2-222-20000000000000−i2i20000−i2i2i2−i2−i2i2i2−i20000000000
χ592-22-2-2200i2−i2i2−i2000002−i2i2-2-2-2222-2-22-22000000i2−i2i2−i2−i2−i2i2i22-200−i2i2−i2i22i−2i−2i2i−2i2i2i−2i0000000000000i2−i20000−222−22−2−220000000000
χ602-22-2-2200i2−i2i2−i2000002−i2i2-2-2-2222-2-22-22000000i2−i2i2−i2−i2−i2i2i22-200−i2i2−i2i2−2i2i2i−2i2i−2i−2i2i0000000000000i2−i200002−2−22−222−20000000000
χ612-22-2-2200−i2i2−i2i2000002i2−i2-2-2-2222-22-22-2000000−i2i2−i2i2i2i2−i2−i2-2200−i2i2−i2i22-2-222-2-220000000000000i2−i20000−i2i2i2−i2−i2i2i2−i20000000000
χ622-22-2-2200−i2i2−i2i2000002i2−i2-2-2-2222-22-22-2000000−i2i2−i2i2i2i2−i2−i2-2200−i2i2−i2i2-222-2-222-20000000000000i2−i20000i2−i2−i2i2i2−i2−i2i20000000000
χ632-22-2-2200−i2i2−i2i2000002i2−i2-2-2-2222-2-22-22000000−i2i2−i2i2i2i2−i2−i22-200i2−i2i2−i22i−2i−2i2i−2i2i2i−2i0000000000000−i2i200002−2−22−222−20000000000
χ642-22-2-2200−i2i2−i2i2000002i2−i2-2-2-2222-2-22-22000000−i2i2−i2i2i2i2−i2−i22-200i2−i2i2−i2−2i2i2i−2i2i−2i−2i2i0000000000000−i2i20000−222−22−2−220000000000
χ6544444444444444444-144-1-1-1-1-1-1-1000044-1-1-1-1-1-1-1-1-1-1-1-10000000000000000-1-1-1-1-1-1-1-100000000000000000000000000000
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χ6744444444-4-4-4-4444-4-4-1-4-4-1-1-1-1-1-1-100004-4-1-1-1-11111111100000000000000001111-1-1-1-100000000000000000000000000000
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χ928-88-88-800−4i24i2−4i24i200000-2−4i24i22-2-222-220000000000i2−i2i2−i2i2i2−i2−i200000000000000000000000000000000000000000000000000000
χ938-88-8-88004i2−4i24i2−4i200000-2−4i24i2222-2-2-220000000000−i2i2−i2i2i2i2−i2−i200000000000000000000000000000000000000000000000000000
χ948-88-8-8800−4i24i2−4i24i200000-24i2−4i2222-2-2-220000000000i2−i2i2−i2−i2−i2i2i200000000000000000000000000000000000000000000000000000
χ958-8-88000042−42−424200000-200-225−25−2525220000000000−222−210−10−101000000000000000000000000000000000000000000000000000000
χ968-8-88000042−42−424200000-200-2−252525−25220000000000−222−2−101010−1000000000000000000000000000000000000000000000000000000
χ978-8-880000−424242−4200000-200-225−25−25252200000000002−2−22−101010−1000000000000000000000000000000000000000000000000000000
χ988-8-880000−424242−4200000-200-2−252525−252200000000002−2−2210−10−101000000000000000000000000000000000000000000000000000000

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