Finite Group Databasebeta

← Group #72214628

Character table — Group #72214628

Order 2304.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108
size1122222222222444444444444444444444488888888888888888888881616161616162424242424242424242424243232323232323636363636363636484848484848484848484848484848484848288
order12233446688883446666688121212122424242424242424121212121212121212122424242424242424242424242466121222446666121212126661212128888888888161616162424242448484848484848484
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11
χ4111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1
χ5111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-1111111111-111-1-111-1-11111-1-1-1-1-1
χ6111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-11111-1-1-1-1-1-111111
χ7111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-1-1-111111111-11-1-111-1-111-1-1-1-11111-1
χ8111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-11-11-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1111111-1-1-1-11
χ922222222222-2-22-2-2222222-2222222-2-222-2-2-2-2-2-2-2-2-2-2222-22-22222-2-2-2-2000000020200220022000000000000000-2000000-2-2000000000
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χ12222222222-2-2222-2-222222-222222-2-222-2-222-2-2-2-2-2-2-2-222-22-22-2-2-2-22222000000-20-20-2-200-2-200000000000000002000002200000000000
χ13222222222-2-2-2-222222222-2-22222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-22-222-2-2000000000000222-2-2-2000000000000000000000000000
χ14222222222-2-2-2-222222222-2-22222-2-2-2-2-2-2-2-22222222222-2-2-2-2-2-2-2-2-2-2-2-2-22-2-222000000000000-2-2-2222000000000000000000000000000
χ152222-1222-12222-1222-1-1-1-12222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-12-1-12-1-100000000220000-1-1-1-1000000000
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χ272222-1222-1-2-2-2-2-1222-1-1-1-1-2-222-1-11111-2-2-2-222-1-1-1-1-1-1-1-1-2-211111111112-2-1-1110000−i3i3−i3i3−i3i3−i3i32-1-1-21100000000000000i3−i3i3−i3000000000
χ282222-1222-1-2-2-2-2-1222-1-1-1-1-2-222-1-11111-2-2-2-222-1-1-1-1-1-1-1-1-2-211111111112-2-1-1110000i3−i3i3−i3i3−i3i3−i32-1-1-21100000000000000−i3i3−i3i3000000000
χ292222-1222-1-2-2-2-2-1222-1-1-1-1-2-222-1-11111-2-2-2-222-1-1-1-1-1-1-1-1-2-21111111111-2211-1-10000−i3i3i3−i3−i3i3i3−i3-2112-1-100000000000000i3−i3−i3i3000000000
χ302222-1222-1-2-2-2-2-1222-1-1-1-1-2-222-1-11111-2-2-2-222-1-1-1-1-1-1-1-1-2-21111111111-2211-1-10000i3−i3−i3i3i3−i3−i3i3-2112-1-100000000000000−i3i3i3−i3000000000
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χ36222-1222-12-2-2-2-2-122-12-1-1-1-2-2-1-122-2-2-2-21111-1-122-1-1-1-1-1-111-2-2111111112-222-2-2000000000000-1-1-1111000000000000000000−3−333−3−3330
χ37222-1222-12-2-2-2-2-122-12-1-1-1-2-2-1-122-2-2-2-21111-1-122-1-1-1-1-1-111-2-211111111-22-2-222000000000000111-1-1-100000000000000000033−3−3−3−3330
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χ3922-2222-22200-2-2200-2-2-2-22022-22-200-2-200-2-2000000002-20202000022-2-200000020-202200-2-200000000−i2−i2−i2−i2i2i2i2i200−i2i2000000−i2i2−i2i200000
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χ968-808-400-844i2−4i24i2−4i2-44-400004000000−2i22i2−2i22i24i2−4i24i2−4i24-4-22-2-22200000000−2i22i200−2i22i2000000000000000000000000000000000000000000000000000
χ978-80-48004-8−4i24i2−4i24i2-44-400004000000−4i24i2−4i24i22i2−2i22i2−2i2-224-4-2-222000000002i2−2i2002i2−2i2000000000000000000000000000000000000000000000000000
χ988-80-48004-8−4i24i24i2−4i2-4-4400004000000−4i24i24i2−4i22i2−2i2−2i22i22-2-4422-2-2000000002i2−2i200−2i22i2000000000000000000000000000000000000000000000000000
χ998-80-48004-84i2−4i2−4i24i2-4-44000040000004i2−4i2−4i24i2−2i22i22i2−2i22-2-4422-2-200000000−2i22i2002i2−2i2000000000000000000000000000000000000000000000000000
χ1008-80-48004-84i2−4i24i2−4i2-44-4000040000004i2−4i24i2−4i2−2i22i2−2i22i2-224-4-2-22200000000−2i22i200−2i22i2000000000000000000000000000000000000000000000000000
χ1018-80-4-40044−4i24i2−4i24i224-4006-6-20000002i2−2i22i2−2i22i2−2i22i2−2i2-22-224-2-42000000−3i23i2−i2i2−3i23i2−i2i2000000000000000000000000000000000000000000000000000
χ1028-80-4-40044−4i24i2−4i24i224-400-66-20000002i2−2i22i2−2i22i2−2i22i2−2i2-22-22-242-40000003i2−3i2−i2i23i2−3i2−i2i2000000000000000000000000000000000000000000000000000
χ1038-80-4-40044−4i24i24i2−4i22-44006-6-20000002i2−2i2−2i22i22i2−2i2−2i22i22-22-2-424-2000000−3i23i2−i2i23i2−3i2i2−i2000000000000000000000000000000000000000000000000000
χ1048-80-4-40044−4i24i24i2−4i22-4400-66-20000002i2−2i2−2i22i22i2−2i2−2i22i22-22-22-4-240000003i2−3i2−i2i2−3i23i2i2−i2000000000000000000000000000000000000000000000000000
χ1058-80-4-400444i2−4i2−4i24i22-44006-6-2000000−2i22i22i2−2i2−2i22i22i2−2i22-22-2-424-20000003i2−3i2i2−i2−3i23i2−i2i2000000000000000000000000000000000000000000000000000
χ1068-80-4-400444i2−4i2−4i24i22-4400-66-2000000−2i22i22i2−2i2−2i22i22i2−2i22-22-22-4-24000000−3i23i2i2−i23i2−3i2−i2i2000000000000000000000000000000000000000000000000000
χ1078-80-4-400444i2−4i24i2−4i224-4006-6-2000000−2i22i2−2i22i2−2i22i2−2i22i2-22-224-2-420000003i2−3i2i2−i23i2−3i2i2−i2000000000000000000000000000000000000000000000000000
χ1088-80-4-400444i2−4i24i2−4i224-400-66-2000000−2i22i2−2i22i2−2i22i2−2i22i2-22-22-242-4000000−3i23i2i2−i2−3i23i2i2−i2000000000000000000000000000000000000000000000000000

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