Finite Group Databasebeta

← Group #72258962

Character table — Group #72258962

Order 4608.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104
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order12244222224224444336612121212222244666666121212121212244666612121212336612121212246666661212121212126666661212121212122244444488888888
χ111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ3111111111-1-11111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-1-1-1
χ4111111111-1-11111111111111111-1-1-1-111-1-1-1-111-1-1-1-11111111111111111111-1-111-1-1-1-111-1-1-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511-1-1111111-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11-1-1-1111111-1-1-1-1-1-1111111-1-1-1-11-111-1-11-11-111-1-11-1
χ611-1-1111111-1-1-1-1-1111111-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-111111-1-1-1-11111-1-1-1-11-1-1-1111111-1-1-1-1-1-1111111-1-1-1-1-11-1-111-11-11-1-111-11
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χ3322-22-2222200-2-222-2-2-1-1-1-1-1-1-1-122000011i3−i3−i3i311−i3i3i3−i3-22-2-1-1-1-1-1-1-1-12-12-122-1-10011i3−i3−i3i311−i3i3i3−i3-2100i3−i3-2100−i3i30000000000000000
χ3422-22-2222200-2-222-2-2-1-1-1-1-1-1-1-122000011i3−i3i3−i311−i3i3−i3i3-22-2-1-1-1-1-1-1-1-1-12-12-1-1220011i3−i3i3−i311−i3i3−i3i31-2−i3i3001-2i3−i3000000000000000000
χ3522-2-2222222-2-2-2-2-2222-12-1-2-2112222-2-2-2122-1-12-1-2-211-2-2222-1-1-2-211-1-1-1-111112-2-2122-1-12-1-2-21111-1-1-1-1-1-111110000000000000000
χ3622-2-2222222-2-2-2-2-222-12-1211-2-22222-2-21-2-1-122-1211-2-2-2-22-1-12211-2-2-1-1-1-111112-21-2-1-122-1211-2-211-1-1-1-1-1-111110000000000000000
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χ3922-2-222222-22-2-2-2-2222-12-1-2-21122-2-222-21-2-2112-122-1-1-2-2222-1-1-2-211-1-1-1-11111-22-21-2-2112-122-1-1111111-1-1-1-1-1-10000000000000000
χ4022-2-222222-22-2-2-2-222-12-1211-2-222-2-2221-211-2-2-12-1-122-2-22-1-12211-2-2-1-1-1-11111-221-211-2-2-12-1-122111111-1-1-1-1-1-10000000000000000
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χ9812-120004-12-41200000000-6060−6363004-400000000000000000002-20023−230000000000000000000000000000000000000000000000000000
χ9912-12000-12412-4000000000120-1200004-4000000000000000000000-44000000000000000000000000000000000000000000000000000000
χ10012-12000-12412-4000000000-6060063−634-40000000000000000000002-200−232300000000000000000000000000000000000000000000000000
χ10112-12000-12412-4000000000-60600−63634-40000000000000000000002-20023−2300000000000000000000000000000000000000000000000000
χ102181818-18-18-6-6-6-600-6-66666000000002200000000000000002-2-20000000000000000000000000000000000000000000000000000000000
χ1031818-1818-18-6-6-6-60066-6-66600000000220000000000000000-22-20000000000000000000000000000000000000000000000000000000000
χ10436-360001212-12-120000000000000000-4400000000000000000000000000000000000000000000000000000000000000000000000000000

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