Finite Group Databasebeta

← Group #11895653

Character table — Group #11895653

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444446666888888888888888888888812121212121212121212121212121212181818182424242424242424242424363648487272
order1222334444666666121212123444666121212121212121212121212888841212121212121212121212121212121212121212124488888824242424242424244444224661212242424244461244
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
χ5111111111111111111111-1-111111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1
χ6111111111111111111111-1-111111111111111111111-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-11111
χ7111111111111111111111-1-11111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-1-1-1-111
χ8111111111111111111111-1-11111111111111111-1-1-1-1-11-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1
χ9111111-1-111111111-1-1-1-1111-1111-1-1-1-11-1-1-1-11111111-1-111-1-1-1-11111-1-11111-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-1-11-1-11111-1-1-11-11-11
χ10111111-1-111111111-1-1-1-1111-1111-1-1-1-11-1-1-1-11111111-1-111-1-1-1-11111-1-11111-1-1-1-111-1-1-1-1111111-1-1-1-1-1-111-11-1-1-111-1-1111-11-11-1
χ11111111-1-111111111-1-1-1-1111-1111-1-1-1-11-1-1-1-1111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-11111-1-1111-1111-1-111-1-11-1-111-1
χ12111111-1-111111111-1-1-1-1111-1111-1-1-1-11-1-1-1-1111-1-1-1-1-1-111-1-1-1-11111-1-11111-1-1-1-1-1-111-1-111-1-1-1-1111111-1-111-111-1-1-1-111-111-1-11
χ13111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-11-1-1-1-111111111-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-111-1-11111-1-1-1-111-1-111-111-1-111-1-1-111-11-1
χ14111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-11-1-1-1-111111111-1-1-11111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1111-1111-1-1-1-1111-1-11-11
χ15111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-11-1-1-1-1111-1-1-1-11-1-1-11111-1-111-1-1-1-1-1-11111111111-1-1-1-1-1-11111-1-111-11-1-1-11111-1-11-11-1-11
χ16111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-11-1-1-1-1111-1-1-1-11-1-1-11111-1-111-1-1-1-1-1-111111111-1-111-1-1-1-1111111-1-1-1-11-1-111-1-111-11-111-1
χ1722222222-2-22222222222200-222222-2-2-22222-2-2-200000-200000000-2-2-2-2000000000000000000000000222200000000000-2-20000
χ1822222222-2-22222222222200-222222-2-2-22222-2-2-200000-200000000-2-2-2-2000000000000000000000000-2-2-2-200000000000220000
χ19222222-2-2-2-2222222-2-2-2-22002222-2-222-2-2-2-2-2-2-2-200000200000000-2-22200000000000000000000000022-2-2000000000002-20000
χ20222222-2-2-2-2222222-2-2-2-22002222-2-222-2-2-2-2-2-2-2-200000200000000-2-222000000000000000000000000-2-22200000000000-220000
χ2122222-1222222-1-1-12-1-1-1-1-1222-1-1-122-1-12-1-1-1-1-1-12222222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000200-1-1-1-10000000000
χ2222222-1222222-1-1-12-1-1-1-1-1222-1-1-122-1-12-1-1-1-1-1-12-2-2-2-222-1-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-20000111111110000-20011110000000000
χ2322222-1222222-1-1-12-1-1-1-1-1-2-22-1-1-122-1-12-1-1-1-1-1-122222-2211-2-211-2-2-1-1-1-111111111-2-2220000-1-1-1-1-1-1-1-10000-20011110000000000
χ2422222-1222222-1-1-12-1-1-1-1-1-2-22-1-1-122-1-12-1-1-1-1-1-12-2-2-2-2-2211-2-211-2-2-1-1-1-11111111122-2-20000111111110000200-1-1-1-10000000000
χ2522222-1-2-22222-1-1-121111-122-2-1-1-1-2-21121111-1-122222-2-2-1-1-2-21122-1-111-1-1-1-1111122-2-20000-1-1-1-111110000-20011-1-10000000000
χ2622222-1-2-22222-1-1-121111-122-2-1-1-1-2-21121111-1-12-2-2-2-2-2-2-1-1-2-21122-1-111-1-1-1-11111-2-22200001111-1-1-1-10000200-1-1110000000000
χ2722222-1-2-22222-1-1-121111-1-2-2-2-1-1-1-2-21121111-1-1222222-21122-1-1-2-2-1-1111111-1-1-1-1-2-2-2-20000-1-1-1-111110000200-1-1110000000000
χ2822222-1-2-22222-1-1-121111-1-2-2-2-1-1-1-2-21121111-1-12-2-2-2-22-21122-1-1-2-2-1-1111111-1-1-1-1222200001111-1-1-1-10000-20011-1-10000000000
χ292222-122222-1-1222-12222-1222-1-1-1-1-122-1-1-1-1-122-100002-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-1000022220000000000000220000-1-1-1-100-1-100
χ302222-122222-1-1222-12222-1222-1-1-1-1-122-1-1-1-1-122-100002-122-1-122-1-1-1-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-20000000000000-2-200001111001100
χ312222-122222-1-1222-12222-1-2-22-1-1-1-1-122-1-1-1-1-122-10000-2-1-2-211-2-211-1-1-1-111111111000022220000000000000-2-20000-1-1-1-1001100
χ322222-122222-1-1222-12222-1-2-22-1-1-1-1-122-1-1-1-1-122-10000-2-1-2-211-2-211-1-1-1-1111111110000-2-2-2-20000000000000220000111100-1-100
χ332222-12-2-222-1-1222-1-2-2-2-2-122-2-1-1-111-2-2-1111122-10000-212211-2-2-1-1-1-111-1-1-1-11111000022-2-20000000000000-220000-1-111001-100
χ342222-12-2-222-1-1222-1-2-2-2-2-122-2-1-1-111-2-2-1111122-10000-212211-2-2-1-1-1-111-1-1-1-111110000-2-22200000000000002-2000011-1-100-1100
χ352222-12-2-222-1-1222-1-2-2-2-2-1-2-2-2-1-1-111-2-2-1111122-1000021-2-2-1-12211-1-1111111-1-1-1-1000022-2-200000000000002-20000-1-11100-1100
χ362222-12-2-222-1-1222-1-2-2-2-2-1-2-2-2-1-1-111-2-2-1111122-1000021-2-2-1-12211-1-1111111-1-1-1-10000-2-2220000000000000-22000011-1-1001-100
χ3722-2-22200-22-2-22-2-22000022-20-22-20000-200002-222i2i−2i−2i002-200002-22-20022-2-200002i−2i0000002i2i−2i−2i00000000000002i−2i0000000000
χ3822-2-22200-22-2-22-2-22000022-20-22-20000-200002-22−2i−2i2i2i002-200002-22-20022-2-20000−2i2i000000−2i−2i2i2i0000000000000−2i2i0000000000
χ3922-2-22200-22-2-22-2-2200002-220-22-20000-200002-222i2i−2i−2i00-220000-222-200-2-2220000−2i2i0000002i2i−2i−2i0000000000000−2i2i0000000000
χ4022-2-22200-22-2-22-2-2200002-220-22-20000-200002-22−2i−2i2i2i00-220000-222-200-2-22200002i−2i000000−2i−2i2i2i00000000000002i−2i0000000000
χ4122-2-22-100-22-2-2-111233−3−3-12-201-11003−3-233−3−3-1122i2i−2i−2i00-11003−32-2-113−3-1-11133−3−32i−2i000000−i−iii−i3−i3i3i30000000−i3i3−ii0000000000
χ4222-2-22-100-22-2-2-111233−3−3-12-201-11003−3-233−3−3-112−2i−2i2i2i00-11003−32-2-113−3-1-11133−3−3−2i2i000000ii−i−ii3i3−i3−i30000000i3−i3i−i0000000000
χ4322-2-22-100-22-2-2-111233−3−3-1-2201-11003−3-233−3−3-1122i2i−2i−2i001-100−33-22-113−311-1-1−3−333−2i2i000000−i−iii−i3−i3i3i30000000i3−i3i−i0000000000
χ4422-2-22-100-22-2-2-111233−3−3-1-2201-11003−3-233−3−3-112−2i−2i2i2i001-100−33-22-113−311-1-1−3−3332i−2i000000ii−i−ii3i3−i3−i30000000−i3i3−ii0000000000
χ4522-2-22-100-22-2-2-1112−3−333-12-201-1100−33-2−3−333-1122i2i−2i−2i00-1100−332-2-11−33-1-111−3−3332i−2i000000−i−iiii3i3−i3−i30000000i3−i3−ii0000000000
χ4622-2-22-100-22-2-2-1112−3−333-12-201-1100−33-2−3−333-112−2i−2i2i2i00-1100−332-2-11−33-1-111−3−333−2i2i000000ii−i−i−i3−i3i3i30000000−i3i3i−i0000000000
χ4722-2-22-100-22-2-2-1112−3−333-1-2201-1100−33-2−3−333-1122i2i−2i−2i001-1003−3-22-11−3311-1-133−3−3−2i2i000000−i−iiii3i3−i3−i30000000−i3i3i−i0000000000
χ4822-2-22-100-22-2-2-1112−3−333-1-2201-1100−33-2−3−333-112−2i−2i2i2i001-1003−3-22-11−3311-1-133−3−32i−2i000000ii−i−i−i3−i3i3i30000000i3−i3−ii0000000000
χ492-22-2222i−2i00-22-22-2-22i−2i2i−2i2000-2-222i−2i0002i−2i2i−2i0002−22−2000000000000000000000000−i2i22−2−i2i22−22−2−i2i2−i2i22-22i−2i00000002−2−i2i2000000
χ502-22-2222i−2i00-22-22-2-22i−2i2i−2i2000-2-222i−2i0002i−2i2i−2i0002−22−2000000000000000000000000−i2i2−22i2−i22−22−2−i2i2−i2i2-22−2i2i0000000−22i2−i2000000
χ512-22-2222i−2i00-22-22-2-22i−2i2i−2i2000-2-222i−2i0002i−2i2i−2i000−22−22000000000000000000000000i2−i22−2−i2i2−22−22i2−i2i2−i2-22−2i2i00000002−2−i2i2000000
χ522-22-2222i−2i00-22-22-2-22i−2i2i−2i2000-2-222i−2i0002i−2i2i−2i000−22−22000000000000000000000000i2−i2−22i2−i2−22−22i2−i2i2−i22-22i−2i0000000−22i2−i2000000
χ532-22-222−2i2i00-22-22-2-2−2i2i−2i2i2000-2-22−2i2i000−2i2i−2i2i0002−22−2000000000000000000000000i2−i22−2i2−i22−22−2i2−i2i2−i22-2−2i2i00000002−2i2−i2000000
χ542-22-222−2i2i00-22-22-2-2−2i2i−2i2i2000-2-22−2i2i000−2i2i−2i2i0002−22−2000000000000000000000000i2−i2−22−i2i22−22−2i2−i2i2−i2-222i−2i0000000−22−i2i2000000
χ552-22-222−2i2i00-22-22-2-2−2i2i−2i2i2000-2-22−2i2i000−2i2i−2i2i000−22−22000000000000000000000000−i2i22−2i2−i2−22−22−i2i2−i2i2-222i−2i00000002−2i2−i2000000
χ562-22-222−2i2i00-22-22-2-2−2i2i−2i2i2000-2-22−2i2i000−2i2i−2i2i000−22−22000000000000000000000000−i2i2−22−i2i2−22−22−i2i2−i2i22-2−2i2i0000000−22−i2i2000000
χ5744444-244-4-444-2-2-24-2-2-2-2-200-4-2-2-24422-4-2-2-2-222-400000-4000000002222000000000000000000000000000000000000000000000
χ5844444-2-4-4-4-444-2-2-242222-2004-2-2-2-4-4-2-2-4222222-40000040000000022-2-2000000000000000000000000000000000000000000000
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χ614444-2-24444-2-2-2-2-2-2-2-2-2-21444111-2-2-2-2-21111-2-2-200004-2-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000000
χ624444-2-24444-2-2-2-2-2-2-2-2-2-21-4-44111-2-2-2-2-21111-2-2-20000-4-2222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000000
χ634444-2-244-4-4-2-2-2-2-2-2-2-2-2-2100-4111-2-2222111122200000200000000-1-1-1-13-33-33-33-30000000000000000000000000000000000000
χ644444-2-244-4-4-2-2-2-2-2-2-2-2-2-2100-4111-2-2222111122200000200000000-1-1-1-1-33-33-33-330000000000000000000000000000000000000
χ654444-2-2-4-444-2-2-2-2-2-22222144-41112222-2-1-1-1-1-2-2-20000-42-2-22222-2-211-1-11111-1-1-1-10000000000000000000000000000000000000
χ664444-2-2-4-444-2-2-2-2-2-222221-4-4-41112222-2-1-1-1-1-2-2-200004222-2-2-2-22211-1-1-1-1-1-111110000000000000000000000000000000000000
χ674444-2-2-4-4-4-4-2-2-2-2-2-22222100411122-2-22-1-1-1-122200000-200000000-1-1113-33-3-33-330000000000000000000000000000000000000
χ684444-2-2-4-4-4-4-2-2-2-2-2-22222100411122-2-22-1-1-1-122200000-200000000-1-111-33-333-33-30000000000000000000000000000000000000
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χ844-44-44-24i−4i00-442-22-4−2i2i−2i2i-200022-24i−4i000−2i2i−2i2i00022−2222−22000000000000000000000000−2i22i20000−22−22i2−i2i2−i2000000000000000000000
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χ864-44-44-2−4i4i00-442-22-42i−2i2i−2i-200022-2−4i4i0002i−2i2i−2i00022−2222−220000000000000000000000002i2−2i20000−22−22−i2i2−i2i2000000000000000000000
χ874-44-44-2−4i4i00-442-22-42i−2i2i−2i-200022-2−4i4i0002i−2i2i−2i000−2222−2222000000000000000000000000−2i22i200002−22−2i2−i2i2−i2000000000000000000000
χ884-44-4-244i−4i002-2-44-424i−4i4i−4i-200022-2−2i2i000−2i2i−2i2i00000000000000000000000000000000022−22−2i22i20000000000000000000−22i2−i2000000
χ894-44-4-244i−4i002-2-44-424i−4i4i−4i-200022-2−2i2i000−2i2i−2i2i000000000000000000000000000000000−22222i2−2i200000000000000000002−2−i2i2000000
χ904-44-4-24−4i4i002-2-44-42−4i4i−4i4i-200022-22i−2i0002i−2i2i−2i00000000000000000000000000000000022−222i2−2i20000000000000000000−22−i2i2000000
χ914-44-4-24−4i4i002-2-44-42−4i4i−4i4i-200022-22i−2i0002i−2i2i−2i000000000000000000000000000000000−2222−2i22i200000000000000000002−2i2−i2000000
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χ954-4-444-200004-422-2-4−2i32i32i3−2i3-2000-22200000−2i32i32i3−2i30002i2−2i2−2i22i2000000000000000000000000000000−i2i2i2−i26−6−66000000000000000000000
χ964-4-444-200004-422-2-42i3−2i3−2i32i3-2000-222000002i3−2i3−2i32i3000−2i22i22i2−2i2000000000000000000000000000000i2−i2−i2i26−6−66000000000000000000000
χ974-4-444-200004-422-2-42i3−2i3−2i32i3-2000-222000002i3−2i3−2i32i30002i2−2i2−2i22i2000000000000000000000000000000−i2i2i2−i2−666−6000000000000000000000
χ988-88-8-4-48i−8i004-44-444−4i4i−4i4i2000-2-22−4i4i0002i−2i2i−2i000000000000000000000000000000000000000000000000000000000000000000
χ998-88-8-4-4−8i8i004-44-4444i−4i4i−4i2000-2-224i−4i000−2i2i−2i2i000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-88-480000-44-8-8840000-4000-444000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-40000-4444-44−4i34i34i3−4i320002-2-2000002i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-40000-4444-444i3−4i3−4i34i320002-2-200000−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000000000000000

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