Finite Group Databasebeta

← Group #13088938

Character table — Group #13088938

Order 1440.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120
size111122222222222222224444444444444444444466666666666666666666888888889999101012121212121212121212121212121212121212121818181818181818202020202020202030303030606060609090
order124433556610101212121220202020361212151515153030303060606060606060602244101010101010101020202020202020201515303060606060224424661212303030303030303060606060606060601010101020202020666612121212224466121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111-1-11111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111-11-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1111-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-11-11-1-1-1
χ411111111111111111111111111111111111111111-11-11111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-11-11-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-1111
χ51111111111111111111111111111111111111111-11-11-1-1-1-11111-1-1-1-1111111111111-1-1-1-111-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-111111111-11-11-11-11-1-1
χ61111111111111111111111111111111111111111-11-11-1-1-1-11111-1-1-1-1111111111111-1-1-1-1-1-1-11-11-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-11-11-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1
χ911-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-11-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-111-1-1111-1
χ1011-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1111-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-111-1-1-11
χ1111-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1111-11-1-111111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-111-1-111-1-11
χ1211-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-11-1-111111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-111-111-1-111111-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-111111-1-111-1-111-1
χ1311-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1111-1-111-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111-1-11-11
χ1411-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-111-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-111-11-111-1-1-1-1-111111111-1-1-1-1-1-1-1-11111-1-1-1-11111-111-1-111-11-1
χ1511-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-11-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-11111-1-1-1-111-1-111-1-11-1
χ1611-1-111111111-1-1-1-1-1-1-1-111-1-111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-11-1-111-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-11111-1-111-1-111-11
χ17222222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−522222002222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ18222222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−522-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-2002-22-2−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+521−521−521+521+52000000000000000000
χ19222222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52-2-2-2-200-22-221−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52000000000000000000
χ20222222−1+52−1−5222−1+52−1−522222−1+52−1+52−1−52−1−522222−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−52−1+52−1+52−1−52−1−52222200-2-2-2-21−521−521+521+521−521−521+521+521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52000000000000000000
χ21222222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+522222002222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ22222222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+522-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-2002-22-2−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−521+521+521−521−52000000000000000000
χ23222222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52-2-2-2-200-22-221+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52000000000000000000
χ24222222−1−52−1+5222−1−52−1+522222−1−52−1−52−1+52−1+522222−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+52−1−52−1−52−1+52−1+52222200-2-2-2-21+521+521−521−521+521+521−521−521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52000000000000000000
χ2522222-1222-12222-1-12222-1-1-1-12-12-12-12-122-1-122-1-102020000222200002222-1-1-1-1-1-1-1-10000220-10-10000-1-1-1-10000-1-1-1-1000000002-1-1-12-1-1-102020-10-100
χ2622222-1222-12222-1-12222-1-1-1-12-12-12-12-122-1-122-1-102020000222200002222-1-1-1-1-1-1-1-10000-2-20-10-10000-1-1-1-10000-1-1-1-100000000-2111-21110-20-2010100
χ2722222-1222-12222-1-12222-1-1-1-12-12-12-12-122-1-122-1-10-20-20000-2-2-2-20000-2-2-2-2-1-1-1-1-1-1-1-100002201010000111100001111000000002-1-1-12-1-1-10-20-2010100
χ2822222-1222-12222-1-12222-1-1-1-12-12-12-12-122-1-122-1-10-20-20000-2-2-2-20000-2-2-2-2-1-1-1-1-1-1-1-10000-2-20101000011110000111100000000-2111-211102020-10-100
χ292222-1222-1222-1-1222222-1-1-1-1-12-12-12-12-1-122-1-12220202222000022220000-1-1-1-1-1-1-1-1000022-10-10-1-1-1-10000-1-1-1-1000000000000-12-1-1-12-1-12020-10-1000
χ302222-1222-1222-1-1222222-1-1-1-1-12-12-12-12-1-122-1-12220202222000022220000-1-1-1-1-1-1-1-10000-2-2-10-10-1-1-1-10000-1-1-1-10000000000001-2111-211-20-20101000
χ312222-1222-1222-1-1222222-1-1-1-1-12-12-12-12-1-122-1-122-20-20-2-2-2-20000-2-2-2-20000-1-1-1-1-1-1-1-10000221010111100001111000000000000-12-1-1-12-1-1-20-20101000
χ322222-1222-1222-1-1222222-1-1-1-1-12-12-12-12-1-122-1-122-20-20-2-2-2-20000-2-2-2-20000-1-1-1-1-1-1-1-10000-2-210101111000011110000000000001-2111-2112020-10-1000
χ3322-2-222−1+52−1−5222−1+52−1−52-2-2-2-21−521−521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+5222-2-20022-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ3422-2-222−1+52−1−5222−1+52−1−52-2-2-2-21−521−521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+522-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521+521+52-2-222002-2-22−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ3522-2-222−1+52−1−5222−1+52−1−52-2-2-2-21−521−521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52−1+52−1−52−1+52−1−521−521−521+521+52-2-22200-222-21−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52000000000000000000
χ3622-2-222−1+52−1−5222−1+52−1−52-2-2-2-21−521−521+521+5222-2-2−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521−521−521+521+521+521+52-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1−52−1+52−1−521−521−521+521+5222-2-200-2-2221−521−521+521+521−521−521+521+52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−521−521−521+521+52000000000000000000
χ3722-2-222−1−52−1+5222−1−52−1+52-2-2-2-21+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−5222-2-20022-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ3822-2-222−1−52−1+5222−1−52−1+52-2-2-2-21+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−522-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521−521−52-2-222002-2-22−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ3922-2-222−1−52−1+5222−1−52−1+52-2-2-2-21+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52−1−52−1+52−1−52−1+521+521+521−521−52-2-22200-222-21+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52000000000000000000
χ4022-2-222−1−52−1+5222−1−52−1+52-2-2-2-21+521+521−521−5222-2-2−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521+521+521−521−521−521−52-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1+52−1−52−1+521+521+521−521−5222-2-200-2-2221+521+521−521−521+521+521−521−52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+52−1−52−1−52−1+52−1+521+521+521−521−52000000000000000000
χ4122-2-22-1222-122-2-211-2-2-2-2-1-1112-12-12-12-1-2-211-2-211020-2000022220000-2-2-2-2-1-1-1-1111100002-20-1010000-1-1-1-100001111000000002-1-1-1-21110-202010-100
χ4222-2-22-1222-122-2-211-2-2-2-2-1-1112-12-12-12-1-2-211-2-211020-2000022220000-2-2-2-2-1-1-1-111110000-220-1010000-1-1-1-10000111100000000-21112-1-1-1020-20-10100
χ4322-2-22-1222-122-2-211-2-2-2-2-1-1112-12-12-12-1-2-211-2-2110-2020000-2-2-2-200002222-1-1-1-1111100002-2010-1000011110000-1-1-1-1000000002-1-1-1-2111020-20-10100
χ4422-2-22-1222-122-2-211-2-2-2-2-1-1112-12-12-12-1-2-211-2-2110-2020000-2-2-2-200002222-1-1-1-111110000-22010-1000011110000-1-1-1-100000000-21112-1-1-10-202010-100
χ4522-2-2-1222-122211-2-2-2-2-2-2-1-111-12-12-12-1211-2-211-2-220-2022220000-2-2-2-20000-1-1-1-1111100002-2-1010-1-1-1-100001111000000000000-12-1-11-211-202010-1000
χ4622-2-2-1222-122211-2-2-2-2-2-2-1-111-12-12-12-1211-2-211-2-220-2022220000-2-2-2-20000-1-1-1-111110000-22-1010-1-1-1-1000011110000000000001-211-12-1-120-20-101000
χ4722-2-2-1222-122211-2-2-2-2-2-2-1-111-12-12-12-1211-2-211-2-2-2020-2-2-2-2000022220000-1-1-1-1111100002-210-1011110000-1-1-1-1000000000000-12-1-11-21120-20-101000
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χ11588-8-8-4-4−2+25−2−25-4-4−2+25−2−2544442−252−252+252+2522-2-21−51−51+51+51−51−51+51+5−1+5−1+5−1+5−1+5−1−5−1−5−1−5−1−500000000000000000000−1+52−1−52−1+52−1−521−521−521+521+520000000000000000000000000000000000000000000000000000
χ11688-8-8-4-4−2−25−2+25-4-4−2−25−2+2544442+252+252−252−2522-2-21+51+51−51−51+51+51−51−5−1−5−1−5−1−5−1−5−1+5−1+5−1+5−1+500000000000000000000−1−52−1+52−1−52−1+521+521+521−521−520000000000000000000000000000000000000000000000000000
χ1178-88i−8i-4-4−2+25−2−25442−252+25−4i4i−4i4i−4ζ11−4ζ194ζ11+4ζ19−4ζ3−4ζ74ζ3+4ζ72-22i−2i1−51−51+51+5−1+5−1+5−1−5−1−52ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ700000000000000000000−1+52−1−521−521+52−ζ11−ζ19ζ11+ζ19−ζ3−ζ7ζ3+ζ70000000000000000000000000000000000000000000000000000
χ1188-88i−8i-4-4−2−25−2+25442+252−25−4i4i−4i4i−4ζ3−4ζ74ζ3+4ζ7−4ζ11−4ζ194ζ11+4ζ192-22i−2i1+51+51−51−5−1−5−1−5−1+5−1+52ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ1900000000000000000000−1−52−1+521+521−52−ζ3−ζ7ζ3+ζ7−ζ11−ζ19ζ11+ζ190000000000000000000000000000000000000000000000000000
χ1198-8−8i8i-4-4−2+25−2−25442−252+254i−4i4i−4i4ζ11+4ζ19−4ζ11−4ζ194ζ3+4ζ7−4ζ3−4ζ72-2−2i2i1−51−51+51+5−1+5−1+5−1−5−1−5−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ19−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ700000000000000000000−1+52−1−521−521+52ζ11+ζ19−ζ11−ζ19ζ3+ζ7−ζ3−ζ70000000000000000000000000000000000000000000000000000
χ1208-8−8i8i-4-4−2−25−2+25442+252−254i−4i4i−4i4ζ3+4ζ7−4ζ3−4ζ74ζ11+4ζ19−4ζ11−4ζ192-2−2i2i1+51+51−51−5−1−5−1−5−1+5−1+5−2ζ3−2ζ72ζ3+2ζ7−2ζ3−2ζ72ζ3+2ζ7−2ζ11−2ζ192ζ11+2ζ19−2ζ11−2ζ192ζ11+2ζ1900000000000000000000−1−52−1+521+521−52ζ3+ζ7−ζ3−ζ7ζ11+ζ19−ζ11−ζ190000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 20 (ζ20 = 1); i = ζ5.