Finite Group Databasebeta

← Group #14416845

Character table — Group #14416845

Order 1920.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size124445101515124445101515248881020303024888102030302488810203030481616162040606048161616204060604816161620406060481616162040606048161616204060604816161620406060
order13515152644261030302644261030302644412206060412444122060604124426103030264441220606041244412206060412444122060604124482440120120824888244012012082488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1
χ311111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i
χ411111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii
χ52-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100
χ62-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-2100
χ744-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-10000
χ84-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000
χ94-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000
χ10111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ111111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ1211111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−ii
χ1311111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−i
χ142-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100-21-211-2100-21-211-2100
χ152-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-100-21-2112-100-21-2112-100
χ1644-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-10000-4-41110000-4-41110000-4-41110000-4-41110000
χ174-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000
χ184-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000
χ19111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ201111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111
χ2111111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii
χ2211111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i
χ232-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-21002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100
χ242-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-1002-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-100
χ2544-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-10000-4-41110000-4-4111000044-1-1-1000044-1-1-10000-4-41110000-4-41110000
χ264-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000-421−1+i152−1−i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000
χ274-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000-421−1−i152−1+i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000
χ28111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111
χ291111111-1-11111111-1-11111111-1-11111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-11111111-1-1
χ3011111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−ii-1-1-1-1-111−ii11111-1-1i−i11111-1-1i−i
χ3111111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−i-1-1-1-1-111i−i11111-1-1−ii11111-1-1−ii
χ322-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-2100-21-211-2100-21-211-21002-12-1-12-1002-12-1-12-100
χ332-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-100-21-2112-100-21-2112-1002-12-1-1-21002-12-1-1-2100
χ3444-1-1-1000044-1-1-1000044-1-1-1000044-1-1-1000044-1-1-10000-4-41110000-4-41110000-4-41110000-4-4111000044-1-1-1000044-1-1-10000
χ354-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000-421−1+i152−1−i1520000-421−1+i152−1−i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000
χ364-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000-421−1−i152−1+i1520000-421−1−i152−1+i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000
χ37111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1
χ381111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-11111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-111
χ3911111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii11111-1-1i−i-1-1-1-1-111−ii11111-1-1i−i-1-1-1-1-111−ii
χ4011111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i11111-1-1−ii-1-1-1-1-111i−i11111-1-1−ii-1-1-1-1-111i−i
χ412-12-1-12-1002-12-1-12-100-21-211-2100-21-211-21002-12-1-12-1002-12-1-12-100-21-211-21002-12-1-12-100-21-211-21002-12-1-12-100-21-211-2100
χ422-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-1002-12-1-1-21002-12-1-1-2100-21-2112-1002-12-1-1-2100-21-2112-1002-12-1-1-2100-21-2112-100
χ4344-1-1-1000044-1-1-10000-4-41110000-4-4111000044-1-1-1000044-1-1-10000-4-4111000044-1-1-10000-4-4111000044-1-1-10000-4-41110000
χ444-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000-421−1+i152−1−i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i15200004-2-11−i1521+i1520000-421−1+i152−1−i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000
χ454-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000-421−1−i152−1+i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i15200004-2-11+i1521−i1520000-421−1−i152−1+i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000
χ46111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111
χ471111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111-1-1
χ4811111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii11111-1-1i−i-1-1-1-1-111−ii11111-1-1i−i
χ4911111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i11111-1-1−ii-1-1-1-1-111i−i11111-1-1−ii
χ502-12-1-12-1002-12-1-12-100-21-211-2100-21-211-21002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-21002-12-1-12-100-21-211-21002-12-1-12-100
χ512-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-1002-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-1002-12-1-1-2100-21-2112-1002-12-1-1-2100
χ5244-1-1-1000044-1-1-10000-4-41110000-4-4111000044-1-1-1000044-1-1-10000-4-41110000-4-4111000044-1-1-10000-4-4111000044-1-1-10000
χ534-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000-421−1+i152−1−i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000-421−1+i152−1−i15200004-2-11−i1521+i1520000-421−1+i152−1−i15200004-2-11−i1521+i1520000
χ544-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000-421−1−i152−1+i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000-421−1−i152−1+i15200004-2-11+i1521−i1520000-421−1−i152−1+i15200004-2-11+i1521−i1520000
χ55111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111
χ561111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-1
χ5711111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii11111-1-1i−i-1-1-1-1-111−ii11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii11111-1-1i−i
χ5811111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i11111-1-1−ii-1-1-1-1-111i−i11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i11111-1-1−ii
χ592-12-1-12-1002-12-1-12-100-21-211-2100-21-211-21002-12-1-12-100-21-211-21002-12-1-12-1002-12-1-12-100-21-211-2100-21-211-21002-12-1-12-100
χ602-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-1002-12-1-1-2100-21-2112-1002-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-1002-12-1-1-2100
χ6144-1-1-1000044-1-1-10000-4-41110000-4-4111000044-1-1-10000-4-4111000044-1-1-1000044-1-1-10000-4-41110000-4-4111000044-1-1-10000
χ624-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000-421−1+i152−1−i15200004-2-11−i1521+i1520000-421−1+i152−1−i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000-421−1+i152−1−i15200004-2-11−i1521+i1520000
χ634-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000-421−1−i152−1+i15200004-2-11+i1521−i1520000-421−1−i152−1+i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000-421−1−i152−1+i15200004-2-11+i1521−i1520000
χ64111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1
χ651111111-1-11111111-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111-1-1-1-1-1-1-1-1-1111111111-1-11111111-1-1-1-1-1-1-1-1-111
χ6611111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii-1-1-1-1-111−ii11111-1-1i−i-1-1-1-1-111−ii11111-1-1i−i-1-1-1-1-111−ii11111-1-1i−i11111-1-1i−i-1-1-1-1-111−ii
χ6711111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i-1-1-1-1-111i−i11111-1-1−ii-1-1-1-1-111i−i11111-1-1−ii-1-1-1-1-111i−i11111-1-1−ii11111-1-1−ii-1-1-1-1-111i−i
χ682-12-1-12-1002-12-1-12-100-21-211-2100-21-211-21002-12-1-12-100-21-211-21002-12-1-12-100-21-211-21002-12-1-12-1002-12-1-12-100-21-211-2100
χ692-12-1-1-21002-12-1-1-2100-21-2112-100-21-2112-1002-12-1-1-2100-21-2112-1002-12-1-1-2100-21-2112-1002-12-1-1-21002-12-1-1-2100-21-2112-100
χ7044-1-1-1000044-1-1-10000-4-41110000-4-4111000044-1-1-10000-4-4111000044-1-1-10000-4-4111000044-1-1-1000044-1-1-10000-4-41110000
χ714-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000-421−1+i152−1−i15200004-2-11−i1521+i1520000-421−1+i152−1−i15200004-2-11−i1521+i1520000-421−1+i152−1−i15200004-2-11−i1521+i15200004-2-11−i1521+i1520000-421−1+i152−1−i1520000
χ724-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000-421−1−i152−1+i15200004-2-11+i1521−i1520000-421−1−i152−1+i15200004-2-11+i1521−i1520000-421−1−i152−1+i15200004-2-11+i1521−i15200004-2-11+i1521−i1520000-421−1−i152−1+i1520000
χ73222222222222222222222222222-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000
χ742222222-2-22222222-2-22222222-2-2-2-2-2-2-2-2-222-2-2-2-2-2-2-222000000000000000000000000000000000000000000000000000000
χ7522222-2-22i−2i22222-2-22i−2i22222-2-22i−2i-2-2-2-2-222−2i2i-2-2-2-2-222−2i2i000000000000000000000000000000000000000000000000000000
χ7622222-2-2−2i2i22222-2-2−2i2i22222-2-2−2i2i-2-2-2-2-2222i−2i-2-2-2-2-2222i−2i000000000000000000000000000000000000000000000000000000
χ774-24-2-24-2004-24-2-24-2004-24-2-24-200-42-422-4200-42-422-4200000000000000000000000000000000000000000000000000000000
χ784-24-2-2-42004-24-2-2-42004-24-2-2-4200-42-4224-200-42-4224-200000000000000000000000000000000000000000000000000000000
χ7988-2-2-2000088-2-2-2000088-2-2-20000-8-82220000-8-82220000000000000000000000000000000000000000000000000000000000
χ808-4-21−i151+i1500008-4-21−i151+i1500008-4-21−i151+i150000-842−1+i15−1−i150000-842−1+i15−1−i150000000000000000000000000000000000000000000000000000000000
χ818-4-21+i151−i1500008-4-21+i151−i1500008-4-21+i151−i150000-842−1−i15−1+i150000-842−1−i15−1+i150000000000000000000000000000000000000000000000000000000000
χ82222222222222222222-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-2000000000000000000000000000000000000000000000000000000
χ832222222-2-22222222-2-2-2-2-2-2-2-2-2222222222-2-2-2-2-2-2-2-2-222000000000000000000000000000000000000000000000000000000
χ8422222-2-22i−2i22222-2-22i−2i-2-2-2-2-222−2i2i22222-2-22i−2i-2-2-2-2-222−2i2i000000000000000000000000000000000000000000000000000000
χ8522222-2-2−2i2i22222-2-2−2i2i-2-2-2-2-2222i−2i22222-2-2−2i2i-2-2-2-2-2222i−2i000000000000000000000000000000000000000000000000000000
χ864-24-2-24-2004-24-2-24-200-42-422-42004-24-2-24-200-42-422-4200000000000000000000000000000000000000000000000000000000
χ874-24-2-2-42004-24-2-2-4200-42-4224-2004-24-2-2-4200-42-4224-200000000000000000000000000000000000000000000000000000000
χ8888-2-2-2000088-2-2-20000-8-8222000088-2-2-20000-8-82220000000000000000000000000000000000000000000000000000000000
χ898-4-21−i151+i1500008-4-21−i151+i150000-842−1+i15−1−i1500008-4-21−i151+i150000-842−1+i15−1−i150000000000000000000000000000000000000000000000000000000000
χ908-4-21+i151−i1500008-4-21+i151−i150000-842−1−i15−1+i1500008-4-21+i151−i150000-842−1−i15−1+i150000000000000000000000000000000000000000000000000000000000
χ91444444444-4-4-4-4-4-4-4-4-4000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ924444444-4-4-4-4-4-4-4-4-444000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9344444-4-44i−4i-4-4-4-4-444−4i4i000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9444444-4-4−4i4i-4-4-4-4-4444i−4i000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ958-48-4-48-400-84-844-8400000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ968-48-4-4-8400-84-8448-400000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ971616-4-4-40000-16-164440000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9816-8-42−2i152+2i150000-1684−2+2i15−2−2i150000000000000000000000000000000000000000000000000000000000000000000000000000000000000
χ9916-8-42+2i152−2i150000-1684−2−2i15−2+2i150000000000000000000000000000000000000000000000000000000000000000000000000000000000000

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