Finite Group Databasebeta

← Group #11887445

Character table — Group #11887445

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444446666888888888888888888888812121212121212121212121212121212181818182424242424242424242424363648487272
order12223344446666661212121234446661212121212121212121212128888266666666121212121212121212121212122288888824242424242424242244244661212242424242461244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111111111-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1
χ3111111111111111111111111111111111111111-1-1-1-11111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-11111-1-111-1-1
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
χ61111111111111111111111-1-11111111111111111111-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111
χ71111111111111111111111-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111
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
χ9111111-1-111111111-1-1-1-11-111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-111-1-11111-1-1-1-111-1-11-1-111-1-111-1-1-111-1-11
χ10111111-1-111111111-1-1-1-11-111111-1-1-1-11-1-1-1-11111111-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1111111-1-1-1-1-1-111-11-111-1-1-1-1111-1-111-1
χ11111111-1-111111111-1-1-1-11-111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-11111-1-1-1-1-1-11111-1-1111-11-1-11111-1-11-11-11-1
χ12111111-1-111111111-1-1-1-11-111111-1-1-1-11-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-11111-1-111-1-111-1-1-1-1111111-1-1-111-1-111-1-111-11-11-11
χ13111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-11-1-1-1-11111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-111-1-11111-1-1-1-111-1-1-111-1-11111-1-1-11-111-1
χ14111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-11-1-1-1-11111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1111-11-1-111-1-1111-11-1-11
χ15111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-11-1-1-1-1111-1-1-1-1111111111-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-11111-1-111-11-111-1-111-1-11-1-11-11
χ16111111-1-111111111-1-1-1-11-1-1-1111-1-1-1-11-1-1-1-1111-1-1-1-1111111111-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-1-1-1111111-1-11-1-111-1-1-1-111-111-11-1
χ1722222222-2-222222222222-200222-2-222-22222-2-2-20000000000000-20000-2-2-2-200000000000000000000222200000000000-2-20000
χ1822222222-2-222222222222-200222-2-222-22222-2-2-20000000000000-20000-2-2-2-200000000000000000000-2-2-2-200000000000220000
χ19222222-2-2-2-2222222-2-2-2-2220022222-2-2-2-2-2-2-2-2-2-2000000000000020000-2-2220000000000000000000022-2-2000000000002-20000
χ20222222-2-2-2-2222222-2-2-2-2220022222-2-2-2-2-2-2-2-2-2-2000000000000020000-2-22200000000000000000000-2-22200000000000-220000
χ2122222-1222222-1-1-122222-1222-1-1-122-1-1-1-1-1-1-122-10000222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1000022220000000000002200000-1-1-1-100-1-100
χ2222222-1222222-1-1-122222-1222-1-1-122-1-1-1-1-1-1-122-10000222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-10000-2-2-2-2000000000000-2-2000001111001100
χ2322222-1222222-1-1-122222-12-2-2-1-1-122-1-1-1-1-1-1-122-10000-2-2-2111111-111-2-2-1-1-1-1111100002222000000000000-2-200000-1-1-1-1001100
χ2422222-1222222-1-1-122222-12-2-2-1-1-122-1-1-1-1-1-1-122-10000-2-2-2111111-111-2-2-1-1-1-111110000-2-2-2-20000000000002200000111100-1-100
χ2522222-1-2-22222-1-1-12-2-2-2-2-1-222-1-1-1-2-211-1111122-10000-2-2-21111111-1-122-1-111-1-1-1-1000022-2-20000000000002-200000-1-11100-1100
χ2622222-1-2-22222-1-1-12-2-2-2-2-1-222-1-1-1-2-211-1111122-10000-2-2-21111111-1-122-1-111-1-1-1-10000-2-222000000000000-220000011-1-1001-100
χ2722222-1-2-22222-1-1-12-2-2-2-2-1-2-2-2-1-1-1-2-211-1111122-10000222-1-1-1-1-1-1111-2-2-1-1111111000022-2-2000000000000-2200000-1-111001-100
χ2822222-1-2-22222-1-1-12-2-2-2-2-1-2-2-2-1-1-1-2-211-1111122-10000222-1-1-1-1-1-1111-2-2-1-11111110000-2-2220000000000002-20000011-1-100-1100
χ292222-122222-1-1222-1-1-1-1-1-1222-1-1-1-1-1222-1-1-1-1-1-1222222-1-122-1-1-1-1222-1-1-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000002-1-1-1-10000000000
χ302222-122222-1-1222-1-1-1-1-1-1222-1-1-1-1-1222-1-1-1-1-1-12-2-2-2-22-1-122-1-1-1-1222-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000-211110000000000
χ312222-122222-1-1222-1-1-1-1-1-12-2-2-1-1-1-1-1222-1-1-1-1-1-122222-211-2-211112-2-211-1-1-1-11111-2-2220000-1-1-1-1-1-1-1-1000000-211110000000000
χ322222-122222-1-1222-1-1-1-1-1-12-2-2-1-1-1-1-1222-1-1-1-1-1-12-2-2-2-2-211-2-211112-2-211-1-1-1-1111122-2-20000111111110000002-1-1-1-10000000000
χ332222-12-2-222-1-1222-11111-1-222-1-1-111-2-221111-1-122222-211-2-21111-222-1-1-1-111-1-1-1-122-2-20000-1-1-1-11111000000-2-1-1110000000000
χ342222-12-2-222-1-1222-11111-1-222-1-1-111-2-221111-1-12-2-2-2-2-211-2-21111-222-1-1-1-111-1-1-1-1-2-22200001111-1-1-1-1000000211-1-10000000000
χ352222-12-2-222-1-1222-11111-1-2-2-2-1-1-111-2-221111-1-1222222-1-122-1-1-1-1-2-2-211-1-1111111-2-2-2-20000-1-1-1-11111000000211-1-10000000000
χ362222-12-2-222-1-1222-11111-1-2-2-2-1-1-111-2-221111-1-12-2-2-2-22-1-122-1-1-1-1-2-2-211-1-1111111222200001111-1-1-1-1000000-2-1-1110000000000
χ3722-2-2222i−2i002-22-2-2-22i2i−2i−2i20002-2-2002i−2i02i2i−2i−2i000−i2−i2i2i20000000000000000000000002−2−i2i22−2−i2−i2i2i222−2−22-22i−2i0000000−i2i22−2000000
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χ4122-2-222−2i2i002-22-2-2-2−2i−2i2i2i20002-2-200−2i2i0−2i−2i2i2i000−i2−i2i2i2000000000000000000000000−22−i2i2−22−i2−i2i2i2−2−2222-2−2i2i0000000−i2i2−22000000
χ4222-2-222−2i2i002-22-2-2-2−2i−2i2i2i20002-2-200−2i2i0−2i−2i2i2i000−i2−i2i2i2000000000000000000000000−22i2−i22−2−i2−i2i2i2−2−222-222i−2i0000000i2−i22−2000000
χ4322-2-222−2i2i002-22-2-2-2−2i−2i2i2i20002-2-200−2i2i0−2i−2i2i2i000i2i2−i2−i20000000000000000000000002−2−i2i2−22i2i2−i2−i222−2−2-222i−2i0000000−i2i2−22000000
χ4422-2-222−2i2i002-22-2-2-2−2i−2i2i2i20002-2-200−2i2i0−2i−2i2i2i000i2i2−i2−i20000000000000000000000002−2i2−i22−2i2i2−i2−i222−2−22-2−2i2i0000000i2−i22−2000000
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χ462-22-222002-2-22-2-22-20000202i−2i-22-20000200002-2-2−2i2i−2i2i00000000002i−2i2i−2i2-2002i2i−2i−2i-22000000−2i2i−2i2i00000000000-22000000000000
χ472-22-222002-2-22-2-22-2000020−2i2i-22-20000200002-2-22i−2i2i−2i0000000000−2i2i−2i2i2-200−2i−2i2i2i-220000002i−2i2i−2i00000000000-22000000000000
χ482-22-222002-2-22-2-22-2000020−2i2i-22-20000200002-2-2−2i2i−2i2i0000000000−2i2i−2i2i2-200−2i−2i2i2i2-2000000−2i2i−2i2i000000000002-2000000000000
χ492-22-2-12002-21-1-2-2213−33−3-102i−2i1-113−30023−33−3-11-22i−2i2i−2i0−i3i300−i3−i3i3i302i−2i−ii-113−3−i−iii2-2000000−ii−ii−i3i3−i3i30000000-113−30000000000
χ502-22-2-12002-21-1-2-2213−33−3-102i−2i1-113−30023−33−3-11-2−2i2i−2i2i0−i3i300−i3−i3i3i302i−2i−ii-113−3−i−iii-22000000i−ii−ii3−i3i3−i300000001-1−330000000000
χ512-22-2-12002-21-1-2-2213−33−3-10−2i2i1-113−30023−33−3-11-22i−2i2i−2i0i3−i300i3i3−i3−i30−2i2ii−i-113−3ii−i−i-22000000−ii−ii−i3i3−i3i300000001-1−330000000000
χ522-22-2-12002-21-1-2-2213−33−3-10−2i2i1-113−30023−33−3-11-2−2i2i−2i2i0i3−i300i3i3−i3−i30−2i2ii−i-113−3ii−i−i2-2000000i−ii−ii3−i3i3−i30000000-113−30000000000
χ532-22-2-12002-21-1-2-221−33−33-102i−2i1-11−33002−33−33-11-22i−2i2i−2i0i3−i300i3i3−i3−i302i−2i−ii-11−33−i−iii2-2000000−ii−iii3−i3i3−i30000000-11−330000000000
χ542-22-2-12002-21-1-2-221−33−33-102i−2i1-11−33002−33−33-11-2−2i2i−2i2i0i3−i300i3i3−i3−i302i−2i−ii-11−33−i−iii-22000000i−ii−i−i3i3−i3i300000001-13−30000000000
χ552-22-2-12002-21-1-2-221−33−33-10−2i2i1-11−33002−33−33-11-22i−2i2i−2i0−i3i300−i3−i3i3i30−2i2ii−i-11−33ii−i−i-22000000−ii−iii3−i3i3−i300000001-13−30000000000
χ562-22-2-12002-21-1-2-221−33−33-10−2i2i1-11−33002−33−33-11-2−2i2i−2i2i0−i3i300−i3−i3i3i30−2i2ii−i-11−33ii−i−i2-2000000i−ii−i−i3i3−i3i30000000-11−330000000000
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χ874-44-4-2-2004-42-222-22−2323−232310−4i4i-11-1−232300-23−33−3-22200000−2i32i300i3i3−i3−i302i−2i2i−2i1-13−3−i−iii0000000000000000000000000000000000000
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χ904-44-4-2-200-442-222-22−2323−23231000-11-123−230023−33−32-2-20000000−2i32i3i3−i3−i3i300000-11−333i−3i−3i3i0000000000000000000000000000000000000
χ914-44-4-2-200-442-222-22−2323−23231000-11-123−230023−33−32-2-200000002i3−2i3−i3i3i3−i300000-11−33−3i3i3i−3i0000000000000000000000000000000000000
χ924-4-44440000-4-4-44-4400004000-4-4400000000000022−22−222200000000000000000000000000000022−22−22220000000000000000000000000
χ934-4-44440000-4-4-44-4400004000-4-44000000000000−222222−22000000000000000000000000000000−222222−220000000000000000000000000
χ944-4-44-24000022-44-4-2−2i32i32i3−2i3-200022-200000−2i32i32i3−2i300022−22−2222000000000000000000000000000000−222−2i6−i6−i6i6000000000000000000000
χ954-4-44-24000022-44-4-2−2i32i32i3−2i3-200022-200000−2i32i32i3−2i3000−222222−220000000000000000000000000000002−2−22−i6i6i6−i6000000000000000000000
χ964-4-44-24000022-44-4-22i3−2i3−2i32i3-200022-2000002i3−2i3−2i32i300022−22−2222000000000000000000000000000000−222−2−i6i6i6−i6000000000000000000000
χ974-4-44-24000022-44-4-22i3−2i3−2i32i3-200022-2000002i3−2i3−2i32i3000−222222−220000000000000000000000000000002−2−22i6−i6−i6i6000000000000000000000
χ9888-8-8-4-48i−8i00-44-4444−4i−4i4i4i20002-2-200−4i4i02i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-4−8i8i00-44-44444i4i−4i−4i20002-2-2004i−4i0−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000000
χ1008-8-888-40000-8-84-4480000-400044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ1018-8-88-4-40000444-44-4−4i34i34i3−4i32000-2-22000002i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000000000000000
χ1028-8-88-4-40000444-44-44i3−4i3−4i34i32000-2-2200000−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000000000000000

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