Finite Group Databasebeta

← Group #14291791

Character table — Group #14291791

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size1111222222222222222244444444444444444444444444444444488888888888888888888888888888888888888824242424242424242424303030304040404040404848484848606060606060808080
order12223444455666101010101010224441212121215152020202020202020303030303030606060606060606066101010101212122020202020203030303030303030606060606060606060606060606060608840404040404040408888882424242442020202088888841212
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1111
χ511111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111111111111111111111-1-1-1-1-111-1-1-1-1-1-1-1
χ611111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111
χ711111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111111-1-1-1-1111
χ811111111111111111111-1-1-1-111111111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-11111-1-1-1
χ9222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222222−1−52−1+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+5222−1−52−1−52−1+52−1+52222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200000000002−1−52−1−52−1+52−1+52000000000
χ10222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52222222222−1−52−1+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+5222−1−52−1−52−1+52−1+52222−1−52−1−52−1+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+52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52-2-21+521+521+521+521−521−521−521−520000000000-21+521+521−521−52000000000
χ11222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222222−1−52−1+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+52-2-21+521+521−521−52-2-221+521+521−521−52−1−52−1+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+521−521−521−521−5222−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+520000000000-21+521+521−521−52000000000
χ12222222222−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-2-2-222222−1−52−1+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+52-2-21+521+521−521−52-2-221+521+521−521−52−1−52−1+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+521−521−521−521−52-2-21+521+521+521+521−521−521−521−5200000000002−1−52−1−52−1+52−1+52000000000
χ13222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222222−1+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+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52222−1+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+52−1+52−1+52−1−52−1−52−1−52−1−5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200000000002−1+52−1+52−1−52−1−52000000000
χ14222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52222222222−1+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+52−1−52−1−52−1−52−1−5222−1+52−1+52−1−52−1−52222−1+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+52−1+52−1+52−1−52−1−52−1−52−1−52-2-21−521−521−521−521+521+521+521+520000000000-21−521−521+521+52000000000
χ15222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222222−1+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+52−1−52−1−52−1−52−1−52-2-21−521−521+521+52-2-221−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+5222−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−520000000000-21−521−521+521+52000000000
χ16222222222−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-2-2-222222−1+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+52−1−52−1−52−1−52−1−52-2-21−521−521+521+52-2-221−521−521+521+52−1+52−1−521−521−521−521−521+521+521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−521−521−521−521−521+521+521+521+52-2-21−521−521−521−521+521+521+521+5200000000002−1+52−1+52−1−52−1−52000000000
χ17222222-22-22222222222222-2-2-22-2-222222-2-2-2-222222222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-2-22222222222-2-222-2-2-2-2-2-2-2-2-2-20000000000000000000000000000000000
χ18222222-22-222222222222-2-222-22-2-222222-2-2-2-222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-222-22222-2-2-2-2-2-2-2-2-2-222-2-222-2-2222222220000000000000000000000000000000000
χ19222222-22-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-22-2-22−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+52-2-2-21+521+521−521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521+521+521−521−521−521−5200−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ11600000000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116000000000
χ20222222-22-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+5222-2-2-22-2-22−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−5222−1−52−1−52−1+52−1+52-2-2-21+521+521−521−521+521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+52−1−52−1−521+521+52−1+52−1+521−521−521+521+521+521+521−521−521−521−5200ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ11600000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116000000000
χ21222222-22-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222-22-2-22−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-21+521+521−521−5222-2−1−52−1−52−1+52−1+521+521−521+521+521+521+521−521−521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ11600000000000ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116000000000
χ22222222-22-2−1−52−1+52222−1−52−1+52−1−52−1+52−1−52−1+52-2-222-22-2-22−1−52−1+52−1−52−1+521+521+521−521−52−1−52−1+52−1−52−1−52−1+52−1+52−1−52−1+521+521+521+521+521−521−521−521−52-2-21+521+521−521−5222-2−1−52−1−52−1+52−1+521+521−521+521+521+521+521−521−521−521−52−1−52−1−521+521+52−1+52−1+521−521−52−1−52−1−52−1−52−1−52−1+52−1+52−1+52−1+5200ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ11600000000000−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116000000000
χ23222222-22-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-22-2-22−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−52-2-2-21−521−521+521+521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521−521−521+521+521+521+5200ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ9200000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92000000000
χ24222222-22-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−5222-2-2-22-2-22−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+5222−1+52−1+52−1−52−1−52-2-2-21−521−521+521+521−521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−52−1+52−1+521−521−52−1−52−1−521+521+521−521−521−521−521+521+521+521+5200−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ9200000000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92000000000
χ25222222-22-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222-22-2-22−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-21−521−521+521+5222-2−1+52−1+52−1−52−1−521−521+521−521−521−521−521+521+521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ9200000000000−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92000000000
χ26222222-22-2−1+52−1−52222−1+52−1−52−1+52−1−52−1+52−1−52-2-222-22-2-22−1+52−1−52−1+52−1−521−521−521+521+52−1+52−1−52−1+52−1+52−1−52−1−52−1+52−1−521−521−521−521−521+521+521+521+52-2-21−521−521+521+5222-2−1+52−1+52−1−52−1−521−521+521−521−521−521−521+521+521+521+52−1+52−1+521−521−52−1−52−1−521+521+52−1+52−1+52−1+52−1+52−1−52−1−52−1−52−1−5200−ζ4−ζ44+ζ76+ζ116−ζ4−ζ44+ζ76+ζ116ζ4+ζ44−ζ76−ζ116ζ4+ζ44−ζ76−ζ116−ζ28+ζ52−ζ68+ζ92−ζ28+ζ52−ζ68+ζ92ζ28−ζ52+ζ68−ζ92ζ28−ζ52+ζ68−ζ9200000000000ζ4+ζ44−ζ76−ζ116−ζ4−ζ44+ζ76+ζ116ζ28−ζ52+ζ68−ζ92−ζ28+ζ52−ζ68+ζ92000000000
χ2722222-22-22222222222220000-2-222-222-2-22222-2-22222222222222200000000-20000-2-200000000-2-2-2-2-2-2-2-2000000000000000000222200000000000-2-20000000
χ2822222-22-22222222222220000-2-222-222-2-22222-2-22222222222222200000000-20000-2-200000000-2-2-2-2-2-2-2-2000000000000000000-2-2-2-200000000000220000000
χ2922222-2-2-2-22222222222200002-2-2-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-200000000200002200000000-2-222-2-222000000000000000000000000000000000002i2i−2i−2i000
χ3022222-2-2-2-22222222222200002-2-2-2-222-2-2-2-2-2-2-2-2222222-2-2-2-2-2-2-2-200000000200002200000000-2-222-2-22200000000000000000000000000000000000−2i−2i2i2i000
χ312222-1222222-1-1-122222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000022-1-1-1-1000000000002-1-1
χ322222-1222222-1-1-122222222222-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2111100000000000-211
χ332222-1222222-1-1-1222222-2-2-2-22-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-211-1-2-2-2-22211111111-1-1-1-1-1-1-1-1111111110000000000000022-1-1-1-100000000000-211
χ342222-1222222-1-1-1222222-2-2-2-22-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1-1-1-1-1-1-111-2-2-2-211-1-2-2-2-22211111111-1-1-1-1-1-1-1-11111111100000000000000-2-21111000000000002-1-1
χ352222-12-22-222-1-1-122222222-2-2-2-111-1-1-122-2-2-2-222-1-1-1-1-1-111111111-1-12222111-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111-1-111111111110000000000000000−i3−i3i3i3000000000000−i3i3
χ362222-12-22-222-1-1-122222222-2-2-2-111-1-1-122-2-2-2-222-1-1-1-1-1-111111111-1-12222111-2-2-2-2-2-2-1-1-1-1-1-1-1-1-1-111-1-111111111110000000000000000i3i3−i3−i3000000000000i3−i3
χ372222-12-22-222-1-1-1222222-2-222-2-111-1-1-122-2-2-2-222-1-1-1-1-1-11111111111-2-2-2-2-1-112222-2-211111111-1-111-1-111-1-1-1-1-1-1-1-10000000000000000−i3−i3i3i3000000000000i3−i3
χ382222-12-22-222-1-1-1222222-2-222-2-111-1-1-122-2-2-2-222-1-1-1-1-1-11111111111-2-2-2-2-1-112222-2-211111111-1-111-1-111-1-1-1-1-1-1-1-10000000000000000i3i3−i3−i3000000000000−i3i3
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χ1168-88-8-4080-8−2−25−2+254-442+252−25−2−25−2+252+252−250000004-401+51−5002+25−2−252−25−2+2500−1−5−1−5−1+5−1+51+51−5−1−5−1−51+51+5−1+5−1+51−51−50000000000000000000000000000000000000000000000000000000000000000000000000
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χ1218-8-8880000−2+25−2−25-8-882−252+252−252+25−2+25−2−25000000000−2+25−2−25000000002−25−2+252+25−2−252−252+25000000000000000000000000000000000000000000000000000000000000000000000000000000000
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χ1258-8-88-40000−2+25−2−2544-42−252+252−252+25−2+25−2−250000000001−51+500000000−1+51−5−1−51+5−1+5−1−5−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ942ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ94−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ1182ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ1180000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-88-40000−2+25−2−2544-42−252+252−252+25−2+25−2−250000000001−51+500000000−1+51−5−1−51+5−1+5−1−52ζ14+2ζ46−2ζ86−2ζ94−2ζ14−2ζ46+2ζ86+2ζ94−2ζ14−2ζ46+2ζ86+2ζ942ζ14+2ζ46−2ζ86−2ζ942ζ22+2ζ38−2ζ62−2ζ118−2ζ22−2ζ38+2ζ62+2ζ118−2ζ22−2ζ38+2ζ62+2ζ1182ζ22+2ζ38−2ζ62−2ζ1180000000000000000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 120 (ζ120 = 1); i = ζ30.