Finite Group Databasebeta

← Group #11808715

Character table — Group #11808715

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102C103C104C105C106C107C108C109C110C111C112C113C114C115C116C117C118C119C120C121C122C123C124C125C126
size111111112222222222222222333333334444444444444444444444444466666666888888888888888888121212121212121212121212121212121212121212121212121224242424242424243636363636363636
order12222222336666666666666644444444344444466666661212121212121212121212121212121212121212121212121212121212121212121212121212224444444444441212121212121212121212126612121212121244444444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-1
χ411111111111111111111111111111111111-1-1-1-111111111111-1-1-1-1-1-1-1-11111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111-1-111
χ5111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-11111-1-111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111-1-111-1-11111-1-1-1-1
χ6111111111111111111111111111111111-1-111-1-11111111-1-1-1-11111-1-1-1-111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111-1-111-1-1-1-11111
χ7111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-111
χ8111111111111111111111111111111111-1-1-1-1111111111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-11111-1-1
χ9111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ10111111111111111111111111-1-1-1-1-1-1-1-111111111111111111111111111-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ11111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111111111111-1-1-1-1-1-111-1-111
χ12111111111111111111111111-1-1-1-1-1-1-1-1111-1-1-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-111111111-1-1-1-1111111-1-111-1-1
χ13111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-11111-1-1-1-1111111-1-111-1-1-1-1-1-11111
χ14111111111111111111111111-1-1-1-1-1-1-1-11-1-111-1-11111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111111111-1-1-1-11111-1-111-1-1111111-1-1-1-1
χ15111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1111111-1-11111-1-1-1-11111111111-1-1-1-111-1-1-1-111-1-11111-1-1
χ16111111111111111111111111-1-1-1-1-1-1-1-11-1-1-1-1111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1111111-1-111-1-111111111-1-1-1-1-1-11111-1-111-1-1-1-111
χ17222222222-122-1-1-1-122222-1-1-100000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-122220000002222000000000000-1-1-1-1-1-1-1-100000000
χ18222222222-122-1-1-1-122222-1-1-100000000-1222222-1-1-1-1-1-1-122222222222200000000-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000000-2-2-2-20000000000001111111100000000
χ19222222222-122-1-1-1-122222-1-1-100000000-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-200000000-1-11111-1-1-1-11111111122-2-200000022-2-2000000000000-1-1-1-1111100000000
χ20222222222-122-1-1-1-122222-1-1-100000000-122-2-2-2-2-1-1-1-1-1-1-12222-2-2-2-2-2-2-2-200000000-1-11111-1-1-1-111111111-2-222000000-2-2220000000000001111-1-1-1-100000000
χ21222222222-122-1-1-1-122222-1-1-100000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-20000000011-1-1111111-1-1-1-111112222000000-2-2-2-2000000000000-1-111-1-11100000000
χ22222222222-122-1-1-1-122222-1-1-100000000-1-2-222-2-2-1-1-1-1-1-1-1-2-2-2-22222-2-2-2-20000000011-1-1111111-1-1-1-11111-2-2-2-2000000222200000000000011-1-111-1-100000000
χ23222222222-122-1-1-1-122222-1-1-100000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222000000001111-1-111111111-1-1-1-122-2-2000000-2-222000000000000-1-11111-1-100000000
χ24222222222-122-1-1-1-122222-1-1-100000000-1-2-2-2-222-1-1-1-1-1-1-1-2-2-2-2-2-2-2-22222000000001111-1-111111111-1-1-1-1-2-22200000022-2-200000000000011-1-1-1-11100000000
χ2522222222-12-1-12222-1-1-1-1-122222222222-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-100002222220000-1-1-1-1-1-1-1-1-1-1-1-10000000000000000
χ2622222222-12-1-12222-1-1-1-1-122222222222-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-122-2-2-2-2-1-1-1-111111111000022-2-2-2-20000-1-1-1-1111111110000000000000000
χ2722222222-12-1-12222-1-1-1-1-122222222222-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1-2-222-2-21111-1-1-1-111110000-2-222-2-200001111-1-1-1-111110000000000000000
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χ2922222222-12-1-12222-1-1-1-1-1222-2-2-2-2-2-2-2-2-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111222222-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2-2-200001111111111110000000000000000
χ3022222222-12-1-12222-1-1-1-1-1222-2-2-2-2-2-2-2-2-122-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1111111111111111122-2-2-2-2-1-1-1-1111111110000-2-2222200001111-1-1-1-1-1-1-1-10000000000000000
χ3122222222-12-1-12222-1-1-1-1-1222-2-2-2-2-2-2-2-2-1-2-222-2-2-1-1-1-1-1-1-11111-1-1-1-1111111111111-2-222-2-21111-1-1-1-11111000022-2-2220000-1-1-1-11111-1-1-1-10000000000000000
χ3222222222-12-1-12222-1-1-1-1-1222-2-2-2-2-2-2-2-2-1-2-2-2-222-1-1-1-1-1-1-111111111-1-1-1-111111111-2-2-2-22211111111-1-1-1-100002222-2-20000-1-1-1-1-1-1-1-111110000000000000000
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χ34222-22-2-2-22222222-2-22-2-2-2-2-2-22222-2-2-2-22000000222-2-2-2-20000000000002222-2-2-2-2000000000000000000-22000000000000000000000000-22000000-22000000
χ35222-22-2-2-22222222-2-22-2-2-2-2-2-2-2-2-2-222222000000222-2-2-2-2000000000000-2-2-2-222220000000000000000002-20000000000000000000000002-2000000-22000000
χ36222-22-2-2-22222222-2-22-2-2-2-2-2-2-2-2-2-222222000000222-2-2-2-2000000000000-2-2-2-22222000000000000000000-22000000000000000000000000-220000002-2000000
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χ4822-2-2-22-22-12-112-2-2211-11-1-2-222i2i−2i−2i−2i−2i2i2i-100−2i2i00-111-111-1−3−333ii−i−i−i3−i3i3i3−i−iiiii−i−i00−2i2i00−3−333ii−i−i−i3−i3i3i3000000-22000000i3i3−i3−i311-1-133−3−30000000000000000
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χ542-222-2-2-2222-22-22-2-22-2-2-222-222i−2i2i−2i2i−2i2i−2i2000000-22-2-22-220000000000002i−2i2i−2i2i−2i2i−2i0000000000000000000000000000-220000000000000000-2200000000−2i2i00
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χ592-22-2-222-222-22-22-22-2-222-2-22-2−2i2i−2i2i2i−2i2i−2i22i−2i0000-22-22-22-22i−2i2i−2i00000000−2i2i−2i2i2i−2i2i−2i2i−2i00002i−2i2i−2i000000000000-2200000000-22-22000000000000000000000000
χ602-22-2-222-222-22-22-22-2-222-2-22-2−2i2i−2i2i2i−2i2i−2i2−2i2i0000-22-22-22-2−2i2i−2i2i00000000−2i2i−2i2i2i−2i2i−2i−2i2i0000−2i2i−2i2i0000000000002-2000000002-22-2000000000000000000000000
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χ632-22-2-222-2-121-1-22-2211-1-11-22-22i−2i2i−2i−2i2i−2i2i-1−2i2i00001-11-11-11i−ii−i−i3i3−i3i3−33−33−ii−iii−ii−i−2i2i0000i−ii−i−i3i3−i3i3−33−330000-22000000001-11-13−33−3i3−i3i3−i30000000000000000
χ642-22-2-222-2-121-1-22-2211-1-11-22-22i−2i2i−2i−2i2i−2i2i-1−2i2i00001-11-11-11i−ii−ii3−i3i3−i33−33−3−ii−iii−ii−i−2i2i0000i−ii−ii3−i3i3−i33−33−30000-22000000001-11-1−33−33−i3i3−i3i30000000000000000
χ652-22-2-222-2-121-1-22-2211-1-11-22-2−2i2i−2i2i2i−2i2i−2i-12i−2i00001-11-11-11−ii−ii−i3i3−i3i33−33−3i−ii−i−ii−ii2i−2i0000−ii−ii−i3i3−i3i33−33−30000-22000000001-11-1−33−33i3−i3i3−i30000000000000000
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χ822-2-2-22-22222-2-2-2-22-2-22-222-2222-2-22-222-22000000-2-22-2-2220000000000002-2-22-222-2000000000000000000000000000000-22000000000000000000-22000000-22
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χ1114-44-4-444-4-2-22-22-22-222-2-222-22000000001−4i4i0000-11-11-11-12i−2i2i−2i−2i32i3−2i32i3−2323−2323000000002i−2i0000−ii−iii3−i3i3−i33−33−3000000000000000000000000000000000000000000
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χ1134-4-4444-4-44-2-4-422-2-2444-4-4-22200000000-200004i−4i22-2-2-222000000004i−4i−4i4i000000000000−2i2i00000000−2i2i2i−2i000000000000000000000000000000000000000000
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χ1258-888-8-8-88-4-44-44-444-4444-4-44-4000000002000000-22-2-22-2200000000000000000000000000000000000000000000000000000000000000000000000000000000
χ1268-8-8-88-888-4-44444-444-44-4-44-4-4000000002000000-2-22-2-22200000000000000000000000000000000000000000000000000000000000000000000000000000000

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