Finite Group Databasebeta

← Group #11715781

Character table — Group #11715781

Order 768.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126C127C128
size111166666688881212111166666688881212111166666688881212111166666688881212111166666688881212111166666688881212111166666688881212111166666688881212
order124424888836121224224424888866121224224424888866121224224424888866121224224424888866121224224424888866121224224424888866121224224424888866121224
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1
χ311-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-1
χ411-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-11
χ52222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-1002222220000-1-1-1-100
χ622-2-2-220000-1-1110022-2-2-220000-1-1110022-2-2-220000-1-1110022-2-2-220000-1-1110022-2-2-220000-1-1110022-2-2-220000-1-1110022-2-2-220000-1-1110022-2-2-220000-1-11100
χ72-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i00
χ82-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i00
χ92-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii00
χ102-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii00
χ113333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-13333-1-111110000-1-1
χ123333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-10000113333-1-1-1-1-1-1000011
χ1333-3-31-111-1-10000-1133-3-31-111-1-10000-1133-3-31-111-1-10000-1133-3-31-111-1-10000-1133-3-31-111-1-10000-1133-3-31-111-1-10000-1133-3-31-111-1-10000-1133-3-31-111-1-10000-11
χ1433-3-31-1-1-11100001-133-3-31-1-1-11100001-133-3-31-1-1-11100001-133-3-31-1-1-11100001-133-3-31-1-1-11100001-133-3-31-1-1-11100001-133-3-31-1-1-11100001-133-3-31-1-1-11100001-1
χ154-44i−4i0000001-1−ii004-44i−4i0000001-1−ii004-44i−4i0000001-1−ii004-44i−4i0000001-1−ii004-44i−4i0000001-1−ii004-44i−4i0000001-1−ii004-44i−4i0000001-1−ii004-44i−4i0000001-1−ii00
χ164-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i00
χ171111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ18111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111
χ1911-1-1-1111-1-111-1-11-1-1-1111-1-1-111-1-111-1111-1-1-1111-1-111-1-11-1-1-1111-1-1-111-1-111-1111-1-1-1111-1-111-1-11-1-1-1111-1-1-111-1-111-1111-1-1-1111-1-111-1-11-1-1-1111-1-1-111-1-111-11
χ2011-1-1-11-1-11111-1-1-11-1-1111-111-1-1-1-1111-111-1-1-11-1-11111-1-1-11-1-1111-111-1-1-1-1111-111-1-1-11-1-11111-1-1-11-1-1111-111-1-1-1-1111-111-1-1-11-1-11111-1-1-11-1-1111-111-1-1-1-1111-1
χ212222220000-1-1-1-100-2-2-2-2-2-200001111002222220000-1-1-1-100-2-2-2-2-2-200001111002222220000-1-1-1-100-2-2-2-2-2-200001111002222220000-1-1-1-100-2-2-2-2-2-20000111100
χ2222-2-2-220000-1-11100-2-2222-2000011-1-10022-2-2-220000-1-11100-2-2222-2000011-1-10022-2-2-220000-1-11100-2-2222-2000011-1-10022-2-2-220000-1-11100-2-2222-2000011-1-100
χ232-22i−2i00i2−i22−2-11i−i00-22−2i2i00−i2i2−221-1−ii002-22i−2i00i2−i22−2-11i−i00-22−2i2i00−i2i2−221-1−ii002-22i−2i00i2−i22−2-11i−i00-22−2i2i00−i2i2−221-1−ii002-22i−2i00i2−i22−2-11i−i00-22−2i2i00−i2i2−221-1−ii00
χ242-22i−2i00−i2i2−22-11i−i00-22−2i2i00i2−i22−21-1−ii002-22i−2i00−i2i2−22-11i−i00-22−2i2i00i2−i22−21-1−ii002-22i−2i00−i2i2−22-11i−i00-22−2i2i00i2−i22−21-1−ii002-22i−2i00−i2i2−22-11i−i00-22−2i2i00i2−i22−21-1−ii00
χ252-2−2i2i00i2−i2−22-11−ii00-222i−2i00−i2i22−21-1i−i002-2−2i2i00i2−i2−22-11−ii00-222i−2i00−i2i22−21-1i−i002-2−2i2i00i2−i2−22-11−ii00-222i−2i00−i2i22−21-1i−i002-2−2i2i00i2−i2−22-11−ii00-222i−2i00−i2i22−21-1i−i00
χ262-2−2i2i00−i2i22−2-11−ii00-222i−2i00i2−i2−221-1i−i002-2−2i2i00−i2i22−2-11−ii00-222i−2i00i2−i2−221-1i−i002-2−2i2i00−i2i22−2-11−ii00-222i−2i00i2−i2−221-1i−i002-2−2i2i00−i2i22−2-11−ii00-222i−2i00i2−i2−221-1i−i00
χ273333-1-111110000-1-1-3-3-3-311-1-1-1-10000113333-1-111110000-1-1-3-3-3-311-1-1-1-10000113333-1-111110000-1-1-3-3-3-311-1-1-1-10000113333-1-111110000-1-1-3-3-3-311-1-1-1-1000011
χ283333-1-1-1-1-1-1000011-3-3-3-31111110000-1-13333-1-1-1-1-1-1000011-3-3-3-31111110000-1-13333-1-1-1-1-1-1000011-3-3-3-31111110000-1-13333-1-1-1-1-1-1000011-3-3-3-31111110000-1-1
χ2933-3-31-111-1-10000-11-3-333-11-1-11100001-133-3-31-111-1-10000-11-3-333-11-1-11100001-133-3-31-111-1-10000-11-3-333-11-1-11100001-133-3-31-111-1-10000-11-3-333-11-1-11100001-1
χ3033-3-31-1-1-11100001-1-3-333-1111-1-10000-1133-3-31-1-1-11100001-1-3-333-1111-1-10000-1133-3-31-1-1-11100001-1-3-333-1111-1-10000-1133-3-31-1-1-11100001-1-3-333-1111-1-10000-11
χ314-44i−4i0000001-1−ii00-44−4i4i000000-11i−i004-44i−4i0000001-1−ii00-44−4i4i000000-11i−i004-44i−4i0000001-1−ii00-44−4i4i000000-11i−i004-44i−4i0000001-1−ii00-44−4i4i000000-11i−i00
χ324-4−4i4i0000001-1i−i00-444i−4i000000-11−ii004-4−4i4i0000001-1i−i00-444i−4i000000-11−ii004-4−4i4i0000001-1i−i00-444i−4i000000-11−ii004-4−4i4i0000001-1i−i00-444i−4i000000-11−ii00
χ3311111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ34111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111
χ3511-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-1-1-1111-1-1-111-1-111-11-1-1111-1-1-111-1-111-1111-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-1-1-1111-1-1-111-1-111-11-1-1111-1-1-111-1-111-11
χ3611-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-11-1-1111-111-1-1-1-1111-1-1-1111-111-1-1-1-1111-111-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-11-1-1111-111-1-1-1-1111-1-1-1111-111-1-1-1-1111-1
χ372222220000-1-1-1-1002222220000-1-1-1-100-2-2-2-2-2-20000111100-2-2-2-2-2-200001111002222220000-1-1-1-1002222220000-1-1-1-100-2-2-2-2-2-20000111100-2-2-2-2-2-20000111100
χ3822-2-2-220000-1-1110022-2-2-220000-1-11100-2-2222-2000011-1-100-2-2222-2000011-1-10022-2-2-220000-1-1110022-2-2-220000-1-11100-2-2222-2000011-1-100-2-2222-2000011-1-100
χ392-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i00-22−2i2i00−i2i2−221-1−ii00-22−2i2i00−i2i2−221-1−ii002-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i00-22−2i2i00−i2i2−221-1−ii00-22−2i2i00−i2i2−221-1−ii00
χ402-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i00-22−2i2i00i2−i22−21-1−ii00-22−2i2i00i2−i22−21-1−ii002-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i00-22−2i2i00i2−i22−21-1−ii00-22−2i2i00i2−i22−21-1−ii00
χ412-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii00-222i−2i00−i2i22−21-1i−i00-222i−2i00−i2i22−21-1i−i002-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii00-222i−2i00−i2i22−21-1i−i00-222i−2i00−i2i22−21-1i−i00
χ422-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii00-222i−2i00i2−i2−221-1i−i00-222i−2i00i2−i2−221-1i−i002-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii00-222i−2i00i2−i2−221-1i−i00-222i−2i00i2−i2−221-1i−i00
χ433333-1-111110000-1-13333-1-111110000-1-1-3-3-3-311-1-1-1-1000011-3-3-3-311-1-1-1-10000113333-1-111110000-1-13333-1-111110000-1-1-3-3-3-311-1-1-1-1000011-3-3-3-311-1-1-1-1000011
χ443333-1-1-1-1-1-10000113333-1-1-1-1-1-1000011-3-3-3-31111110000-1-1-3-3-3-31111110000-1-13333-1-1-1-1-1-10000113333-1-1-1-1-1-1000011-3-3-3-31111110000-1-1-3-3-3-31111110000-1-1
χ4533-3-31-111-1-10000-1133-3-31-111-1-10000-11-3-333-11-1-11100001-1-3-333-11-1-11100001-133-3-31-111-1-10000-1133-3-31-111-1-10000-11-3-333-11-1-11100001-1-3-333-11-1-11100001-1
χ4633-3-31-1-1-11100001-133-3-31-1-1-11100001-1-3-333-1111-1-10000-11-3-333-1111-1-10000-1133-3-31-1-1-11100001-133-3-31-1-1-11100001-1-3-333-1111-1-10000-11-3-333-1111-1-10000-11
χ474-44i−4i0000001-1−ii004-44i−4i0000001-1−ii00-44−4i4i000000-11i−i00-44−4i4i000000-11i−i004-44i−4i0000001-1−ii004-44i−4i0000001-1−ii00-44−4i4i000000-11i−i00-44−4i4i000000-11i−i00
χ484-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i00-444i−4i000000-11−ii00-444i−4i000000-11−ii004-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i00-444i−4i000000-11−ii00-444i−4i000000-11−ii00
χ491111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111
χ50111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-11111-1-1
χ5111-1-1-1111-1-111-1-11-1-1-1111-1-1-111-1-111-11-1-1111-1-1-111-1-111-1111-1-1-1111-1-111-1-11-111-1-1-1111-1-111-1-11-1-1-1111-1-1-111-1-111-11-1-1111-1-1-111-1-111-1111-1-1-1111-1-111-1-11-1
χ5211-1-1-11-1-11111-1-1-11-1-1111-111-1-1-1-1111-1-1-1111-111-1-1-1-1111-111-1-1-11-1-11111-1-1-1111-1-1-11-1-11111-1-1-11-1-1111-111-1-1-1-1111-1-1-1111-111-1-1-1-1111-111-1-1-11-1-11111-1-1-11
χ532222220000-1-1-1-100-2-2-2-2-2-20000111100-2-2-2-2-2-200001111002222220000-1-1-1-1002222220000-1-1-1-100-2-2-2-2-2-20000111100-2-2-2-2-2-200001111002222220000-1-1-1-100
χ5422-2-2-220000-1-11100-2-2222-2000011-1-100-2-2222-2000011-1-10022-2-2-220000-1-1110022-2-2-220000-1-11100-2-2222-2000011-1-100-2-2222-2000011-1-10022-2-2-220000-1-11100
χ552-22i−2i00i2−i22−2-11i−i00-22−2i2i00−i2i2−221-1−ii00-22−2i2i00−i2i2−221-1−ii002-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i00-22−2i2i00−i2i2−221-1−ii00-22−2i2i00−i2i2−221-1−ii002-22i−2i00i2−i22−2-11i−i00
χ562-22i−2i00−i2i2−22-11i−i00-22−2i2i00i2−i22−21-1−ii00-22−2i2i00i2−i22−21-1−ii002-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i00-22−2i2i00i2−i22−21-1−ii00-22−2i2i00i2−i22−21-1−ii002-22i−2i00−i2i2−22-11i−i00
χ572-2−2i2i00i2−i2−22-11−ii00-222i−2i00−i2i22−21-1i−i00-222i−2i00−i2i22−21-1i−i002-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii00-222i−2i00−i2i22−21-1i−i00-222i−2i00−i2i22−21-1i−i002-2−2i2i00i2−i2−22-11−ii00
χ582-2−2i2i00−i2i22−2-11−ii00-222i−2i00i2−i2−221-1i−i00-222i−2i00i2−i2−221-1i−i002-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii00-222i−2i00i2−i2−221-1i−i00-222i−2i00i2−i2−221-1i−i002-2−2i2i00−i2i22−2-11−ii00
χ593333-1-111110000-1-1-3-3-3-311-1-1-1-1000011-3-3-3-311-1-1-1-10000113333-1-111110000-1-13333-1-111110000-1-1-3-3-3-311-1-1-1-1000011-3-3-3-311-1-1-1-10000113333-1-111110000-1-1
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χ11822-2-2-220000-1-11100-2-2222-2000011-1-100-2-2222-2000011-1-10022-2-2-220000-1-11100-2-2222-2000011-1-10022-2-2-220000-1-1110022-2-2-220000-1-11100-2-2222-2000011-1-100
χ1192-22i−2i00i2−i22−2-11i−i00-22−2i2i00−i2i2−221-1−ii00-22−2i2i00−i2i2−221-1−ii002-22i−2i00i2−i22−2-11i−i00-22−2i2i00−i2i2−221-1−ii002-22i−2i00i2−i22−2-11i−i002-22i−2i00i2−i22−2-11i−i00-22−2i2i00−i2i2−221-1−ii00
χ1202-22i−2i00−i2i2−22-11i−i00-22−2i2i00i2−i22−21-1−ii00-22−2i2i00i2−i22−21-1−ii002-22i−2i00−i2i2−22-11i−i00-22−2i2i00i2−i22−21-1−ii002-22i−2i00−i2i2−22-11i−i002-22i−2i00−i2i2−22-11i−i00-22−2i2i00i2−i22−21-1−ii00
χ1212-2−2i2i00i2−i2−22-11−ii00-222i−2i00−i2i22−21-1i−i00-222i−2i00−i2i22−21-1i−i002-2−2i2i00i2−i2−22-11−ii00-222i−2i00−i2i22−21-1i−i002-2−2i2i00i2−i2−22-11−ii002-2−2i2i00i2−i2−22-11−ii00-222i−2i00−i2i22−21-1i−i00
χ1222-2−2i2i00−i2i22−2-11−ii00-222i−2i00i2−i2−221-1i−i00-222i−2i00i2−i2−221-1i−i002-2−2i2i00−i2i22−2-11−ii00-222i−2i00i2−i2−221-1i−i002-2−2i2i00−i2i22−2-11−ii002-2−2i2i00−i2i22−2-11−ii00-222i−2i00i2−i2−221-1i−i00
χ1233333-1-111110000-1-1-3-3-3-311-1-1-1-1000011-3-3-3-311-1-1-1-10000113333-1-111110000-1-1-3-3-3-311-1-1-1-10000113333-1-111110000-1-13333-1-111110000-1-1-3-3-3-311-1-1-1-1000011
χ1243333-1-1-1-1-1-1000011-3-3-3-31111110000-1-1-3-3-3-31111110000-1-13333-1-1-1-1-1-1000011-3-3-3-31111110000-1-13333-1-1-1-1-1-10000113333-1-1-1-1-1-1000011-3-3-3-31111110000-1-1
χ12533-3-31-111-1-10000-11-3-333-11-1-11100001-1-3-333-11-1-11100001-133-3-31-111-1-10000-11-3-333-11-1-11100001-133-3-31-111-1-10000-1133-3-31-111-1-10000-11-3-333-11-1-11100001-1
χ12633-3-31-1-1-11100001-1-3-333-1111-1-10000-11-3-333-1111-1-10000-1133-3-31-1-1-11100001-1-3-333-1111-1-10000-1133-3-31-1-1-11100001-133-3-31-1-1-11100001-1-3-333-1111-1-10000-11
χ1274-44i−4i0000001-1−ii00-44−4i4i000000-11i−i00-44−4i4i000000-11i−i004-44i−4i0000001-1−ii00-44−4i4i000000-11i−i004-44i−4i0000001-1−ii004-44i−4i0000001-1−ii00-44−4i4i000000-11i−i00
χ1284-4−4i4i0000001-1i−i00-444i−4i000000-11−ii00-444i−4i000000-11−ii004-4−4i4i0000001-1i−i00-444i−4i000000-11−ii004-4−4i4i0000001-1i−i004-4−4i4i0000001-1i−i00-444i−4i000000-11−ii00

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