Finite Group Databasebeta

← Group #11887567

Character table — Group #11887567

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444446666888888888888888888888812121212121212121212121212121212181818182424242424242424242424363648487272
order12223344446666661212121234446661212121212121212121212128888266666666121212121212121212121212124488888824242424242424242222444121212122424242444121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-11-1-11111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1
χ4111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-111-1-111
χ51111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1
χ61111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-111
χ81111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1
χ9111111-1-111111111-1-1-1-11-111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-111-1-11111-1-1-1-111-1-1-11-111-1-111-1-11-11-11-1
χ10111111-1-111111111-1-1-1-11-111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1111111-1-1-1-1-1-111-1-1111-1-1-1-111-11-11-11
χ11111111-1-111111111-1-1-1-11-111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-11111-1-11111-1-1-11111-1-1-111-1-11
χ12111111-1-111111111-1-1-1-11-111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-1-1-1111111-1-11-11-1-111-1-1111-1-111-1
χ13111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-11-1-1-1-11111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-11-11-1-11111-1-11-1-11-11
χ14111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-11-1-1-1-11111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-1-111-1-111-111-11-1
χ15111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-11-1-1-1-1111-1-1-1-1111111111-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-1-1111-1-111-1-1-11-111-1
χ16111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-11-1-1-1-1111-1-1-1-1111111111-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-1-11-111-1-1-1-1111-11-1-11
χ1722222222-2-222222222222-20022222-2-2-22222-2-2-20000000000000-20000-2-2-2-200000000000000000000222200000000000-2-20000
χ1822222222-2-222222222222-20022222-2-2-22222-2-2-20000000000000-20000-2-2-2-200000000000000000000-2-2-2-200000000000220000
χ19222222-2-2-2-2222222-2-2-2-22200222-2-222-2-2-2-2-2-2-2-2000000000000020000-2-2220000000000000000000022-2-200000000000-220000
χ20222222-2-2-2-2222222-2-2-2-22200222-2-222-2-2-2-2-2-2-2-2000000000000020000-2-22200000000000000000000-2-222000000000002-20000
χ2122222-1222222-1-1-12-1-1-1-1-1222-1-1-122-1-12-1-1-1-1-1-122222222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000200-1-1-1-10000000000
χ2222222-1222222-1-1-12-1-1-1-1-1222-1-1-122-1-12-1-1-1-1-1-12-2-2-2-2222-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000-20011110000000000
χ2322222-1222222-1-1-12-1-1-1-1-12-2-2-1-1-122-1-12-1-1-1-1-1-122222-2-2-21111112-2-211-1-1-1-11111-2-2220000-1-1-1-1-1-1-1-10000-20011110000000000
χ2422222-1222222-1-1-12-1-1-1-1-12-2-2-1-1-122-1-12-1-1-1-1-1-12-2-2-2-2-2-2-21111112-2-211-1-1-1-1111122-2-20000111111110000200-1-1-1-10000000000
χ2522222-1-2-22222-1-1-121111-1-222-1-1-1-2-21121111-1-122222-2-2-2111111-222-1-1-1-111-1-1-1-122-2-20000-1-1-1-111110000-200-1-1110000000000
χ2622222-1-2-22222-1-1-121111-1-222-1-1-1-2-21121111-1-12-2-2-2-2-2-2-2111111-222-1-1-1-111-1-1-1-1-2-22200001111-1-1-1-1000020011-1-10000000000
χ2722222-1-2-22222-1-1-121111-1-2-2-2-1-1-1-2-21121111-1-122222222-1-1-1-1-1-1-2-2-211-1-1111111-2-2-2-20000-1-1-1-11111000020011-1-10000000000
χ2822222-1-2-22222-1-1-121111-1-2-2-2-1-1-1-2-21121111-1-12-2-2-2-2222-1-1-1-1-1-1-2-2-211-1-1111111222200001111-1-1-1-10000-200-1-1110000000000
χ292222-122222-1-1222-12222-1222-1-1-1-1-122-1-1-1-1-122-100002-1-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000022220000000000000220000-1-1-1-100-1-100
χ302222-122222-1-1222-12222-1222-1-1-1-1-122-1-1-1-1-122-100002-1-122-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-20000000000000-2-200001111001100
χ312222-122222-1-1222-12222-12-2-2-1-1-1-1-122-1-1-1-1-122-10000-211-2-21111-111-2-2-1-1-1-11111000022220000000000000-2-20000-1-1-1-1001100
χ322222-122222-1-1222-12222-12-2-2-1-1-1-1-122-1-1-1-1-122-10000-211-2-21111-111-2-2-1-1-1-111110000-2-2-2-20000000000000220000111100-1-100
χ332222-12-2-222-1-1222-1-2-2-2-2-1-222-1-1-111-2-2-1111122-10000-211-2-211111-1-122-1-111-1-1-1-1000022-2-200000000000002-20000-1-11100-1100
χ342222-12-2-222-1-1222-1-2-2-2-2-1-222-1-1-111-2-2-1111122-10000-211-2-211111-1-122-1-111-1-1-1-10000-2-2220000000000000-22000011-1-1001-100
χ352222-12-2-222-1-1222-1-2-2-2-2-1-2-2-2-1-1-111-2-2-1111122-100002-1-122-1-1-1-1111-2-2-1-1111111000022-2-20000000000000-220000-1-111001-100
χ362222-12-2-222-1-1222-1-2-2-2-2-1-2-2-2-1-1-111-2-2-1111122-100002-1-122-1-1-1-1111-2-2-1-11111110000-2-22200000000000002-2000011-1-100-1100
χ372-22-222002-2-2-2-22-220000202i−2i2-2-20000200002-2-22i2i−2i−2i00000000002i−2i2i−2i2-2002i2i−2i−2i2-20000002i2i−2i−2i000000000002-2000000000000
χ382-22-222002-2-2-2-22-220000202i−2i2-2-20000200002-2-2−2i−2i2i2i00000000002i−2i2i−2i2-2002i2i−2i−2i-22000000−2i−2i2i2i00000000000-22000000000000
χ392-22-222002-2-2-2-22-22000020−2i2i2-2-20000200002-2-22i2i−2i−2i0000000000−2i2i−2i2i2-200−2i−2i2i2i-220000002i2i−2i−2i00000000000-22000000000000
χ402-22-222002-2-2-2-22-22000020−2i2i2-2-20000200002-2-2−2i−2i2i2i0000000000−2i2i−2i2i2-200−2i−2i2i2i2-2000000−2i−2i2i2i000000000002-2000000000000
χ412-22-22-1002-2-2-21-11233−3−3-102i−2i-111003−3233−3−3-11-22i2i−2i−2i000−i3i3−i3−i3i3i302i−2i−ii-113−3−i−iii2-2000000−i−iii−i3−i3i3i30000000-113−30000000000
χ422-22-22-1002-2-2-21-11233−3−3-102i−2i-111003−3233−3−3-11-2−2i−2i2i2i000−i3i3−i3−i3i3i302i−2i−ii-113−3−i−iii-22000000ii−i−ii3i3−i3−i300000001-1−330000000000
χ432-22-22-1002-2-2-21-11233−3−3-10−2i2i-111003−3233−3−3-11-22i2i−2i−2i000i3−i3i3i3−i3−i30−2i2ii−i-113−3ii−i−i-22000000−i−iii−i3−i3i3i300000001-1−330000000000
χ442-22-22-1002-2-2-21-11233−3−3-10−2i2i-111003−3233−3−3-11-2−2i−2i2i2i000i3−i3i3i3−i3−i30−2i2ii−i-113−3ii−i−i2-2000000ii−i−ii3i3−i3−i30000000-113−30000000000
χ452-22-22-1002-2-2-21-112−3−333-102i−2i-11100−332−3−333-11-22i2i−2i−2i000i3−i3i3i3−i3−i302i−2i−ii-11−33−i−iii2-2000000−i−iiii3i3−i3−i30000000-11−330000000000
χ462-22-22-1002-2-2-21-112−3−333-102i−2i-11100−332−3−333-11-2−2i−2i2i2i000i3−i3i3i3−i3−i302i−2i−ii-11−33−i−iii-22000000ii−i−i−i3−i3i3i300000001-13−30000000000
χ472-22-22-1002-2-2-21-112−3−333-10−2i2i-11100−332−3−333-11-22i2i−2i−2i000−i3i3−i3−i3i3i30−2i2ii−i-11−33ii−i−i-22000000−i−iiii3i3−i3−i300000001-13−30000000000
χ482-22-22-1002-2-2-21-112−3−333-10−2i2i-11100−332−3−333-11-2−2i−2i2i2i000−i3i3−i3−i3i3i30−2i2ii−i-11−33ii−i−i2-2000000ii−i−i−i3−i3i3i30000000-11−330000000000
χ492-2-22222-200-222-2-2-22-22-22000-2-222-20002-22-2000−i2i2−i2i2000000000000000000000000−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i22-22-20000000−i2i2−i2i2000000
χ502-2-22222-200-222-2-2-22-22-22000-2-222-20002-22-2000−i2i2−i2i2000000000000000000000000−i2i2i2−i2i2−i2−i2i2−i2i2−i2i2−i2i2-22-220000000i2−i2i2−i2000000
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χ522-2-22222-200-222-2-2-22-22-22000-2-222-20002-22-2000i2−i2i2−i2000000000000000000000000i2−i2i2−i2i2−i2i2−i2i2−i2i2−i2i2−i22-22-20000000i2−i2i2−i2000000
χ532-2-2222-2200-222-2-2-2-22-222000-2-22-22000-22-22000−i2i2−i2i2000000000000000000000000i2−i2−i2i2i2−i2−i2i2−i2i2i2−i2i2−i22-2-220000000−i2i2i2−i2000000
χ542-2-2222-2200-222-2-2-2-22-222000-2-22-22000-22-22000−i2i2−i2i2000000000000000000000000i2−i2i2−i2−i2i2−i2i2−i2i2i2−i2i2−i2-222-20000000i2−i2−i2i2000000
χ552-2-2222-2200-222-2-2-2-22-222000-2-22-22000-22-22000i2−i2i2−i2000000000000000000000000−i2i2−i2i2i2−i2i2−i2i2−i2−i2i2−i2i2-222-20000000−i2i2i2−i2000000
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χ654444-2-2-4-444-2-2-2-2-2-222221-4441112222-2-1-1-1-1-2-2-20000-42222-1-1-1-12-2-2-2-211-1-111110000000000000000000000000000000000000
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χ874-44-4-2-200-44222-22-22323−23−2310001-1-100−23232−3−3332-2-2000002i3−2i300−i3i3i3−i300000-113−33i−3i−3i3i0000000000000000000000000000000000000
χ884-44-4-2-200-44222-22-2−23−23232310001-1-10023−23233−3−32-2-200000−2i32i300i3−i3−i3i300000-11−333i−3i−3i3i0000000000000000000000000000000000000
χ894-44-4-2-200-44222-22-2−23−23232310001-1-10023−23233−3−32-2-2000002i3−2i300−i3i3i3−i300000-11−33−3i3i3i−3i0000000000000000000000000000000000000
χ904-4-444-24-400-44-222-4-22-22-200022-24-4000-22-22000−2i22i2−2i22i2000000000000000000000000−2i22i20000i2−i2i2−i2i2−i2i2−i2000000000000000000000
χ914-4-444-24-400-44-222-4-22-22-200022-24-4000-22-220002i2−2i22i2−2i20000000000000000000000002i2−2i20000−i2i2−i2i2−i2i2−i2i2000000000000000000000
χ924-4-444-2-4400-44-222-42-22-2-200022-2-440002-22-2000−2i22i2−2i22i20000000000000000000000002i2−2i20000i2−i2i2−i2−i2i2−i2i2000000000000000000000
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χ944-4-44-244-4002-24-4-424-44-4-200022-2-22000-22-22000000000000000000000000000000000−2i22i2−2i22i20000000000000000000i2−i2i2−i2000000
χ954-4-44-244-4002-24-4-424-44-4-200022-2-22000-22-220000000000000000000000000000000002i2−2i22i2−2i20000000000000000000−i2i2−i2i2000000
χ964-4-44-24-44002-24-4-42-44-44-200022-22-20002-22-2000000000000000000000000000000000−2i22i22i2−2i20000000000000000000i2−i2−i2i2000000
χ974-4-44-24-44002-24-4-42-44-44-200022-22-20002-22-20000000000000000000000000000000002i2−2i2−2i22i20000000000000000000−i2i2i2−i2000000
χ9888-8-8-480000-44-8-8840000-40004-44000000000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-40000-4444-4443−43−43432000-22-200000−232323−23000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-40000-4444-44−434343−432000-22-20000023−23−2323000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-48-8004-4-4444-44-442000-2-22-440002-22-2000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-4-88004-4-44444-44-42000-2-224-4000-22-22000000000000000000000000000000000000000000000000000000000000000000

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