Finite Group Databasebeta

← Group #11887246

Character table — Group #11887246

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size1111222222222222222244444444444444444446666888888888888888888888812121212121212121212121212121212181818182424242424242424242424363648487272
order12223344446666661212121222346661212121212121212121212128888466666666121212121212121212121212124488888824242424242424242244444121212122424242424121224
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
χ511111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-1111111111111111111-1-1-1-1-1-1-1111111-1-1-1-1
χ611111111111111111111-1-1111111111111111111111-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-1-1-111-1-1-1-111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111
χ711111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111-1-1-1-111
χ811111111111111111111-1-111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111-1-1-1-11111-1-1
χ9111111-1-111111111-1-1-1-1111-11111-1-1-1-1-1-1-1-11111111-111111111-1-1-1-1-111-1-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-1-11-111-1-111-1-1-111-11-1
χ10111111-1-111111111-1-1-1-1111-11111-1-1-1-1-1-1-1-11111111-111111111-1-1-1-1-111-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-1111-1-111-1-1-1-1111-1-11-11
χ11111111-1-111111111-1-1-1-1111-11111-1-1-1-1-1-1-1-1111-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-11111-1-111-111-1-11111-1-11-11-1-11
χ12111111-1-111111111-1-1-1-1111-11111-1-1-1-1-1-1-1-1111-1-1-1-1-111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-111-1-1-1-1111111-1-11-11-1-111-1-111-11-111-1
χ13111111-1-111111111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-11111-1-11111-1-1-1-111-1-11111-1-1-1-111-1-11-11-1-11111-1-1-11-11-11
χ14111111-1-111111111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-11111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111-111-1-111-1-1111-11-11-1
χ15111111-1-111111111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-111-11111-1-11111111111-1-1-1-1-1-11111-1-1111-1-111-1-111-1-11-1-111-1
χ16111111-1-111111111-1-1-1-1-1-11-11111-1-1-1-1-1-1-1-1111-1-1-1-11-1-1-1-1-1-1-1-111-11111-1-111111111-1-111-1-1-1-1111111-1-1-11-111-1-1-1-111-111-1-11
χ1722222222-2-22222222222002-2222-2-2-2222222-2-2-2000000000000000-200-2-2-2-200000000000000000000222200000000000-2-20000
χ1822222222-2-22222222222002-2222-2-2-2222222-2-2-2000000000000000-200-2-2-2-200000000000000000000-2-2-2-200000000000220000
χ19222222-2-2-2-2222222-2-2-2-20022222-222-2-2-2-2-2-2-2-2-2000000000000000200-2-2220000000000000000000022-2-2000000000002-20000
χ20222222-2-2-2-2222222-2-2-2-20022222-222-2-2-2-2-2-2-2-2-2000000000000000200-2-22200000000000000000000-2-22200000000000-220000
χ2122222-122222-12-1-12-1-1-1-122-12-1-1-12-1-122-1-1-1-1-1-122222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-122220000-1-1-1-1-1-1-1-10000002-1-1-1-10000000000
χ2222222-122222-12-1-12-1-1-1-122-12-1-1-12-1-122-1-1-1-1-1-12-2-2-2-2222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-2-2-2000011111111000000-211110000000000
χ2322222-122222-12-1-12-1-1-1-1-2-2-12-1-1-12-1-122-1-1-1-1-1-122222-2-2-2111111112-2-2-1-1-1-11111-2-2220000-1-1-1-1-1-1-1-1000000-211110000000000
χ2422222-122222-12-1-12-1-1-1-1-2-2-12-1-1-12-1-122-1-1-1-1-1-12-2-2-2-2-2-2-2111111112-2-2-1-1-1-1111122-2-20000111111110000002-1-1-1-10000000000
χ2522222-1-2-2222-12-1-12111122-1-2-1-1-1211-2-21111-1-122222-222-1-1-1-1-1-111-2-2-2-1-111111122-2-20000-1-1-1-11111000000-2-1-1110000000000
χ2622222-1-2-2222-12-1-12111122-1-2-1-1-1211-2-21111-1-12-2-2-2-2-222-1-1-1-1-1-111-2-2-2-1-1111111-2-22200001111-1-1-1-1000000211-1-10000000000
χ2722222-1-2-2222-12-1-121111-2-2-1-2-1-1-1211-2-21111-1-1222222-2-2111111-1-1-222-1-111-1-1-1-1-2-2-2-20000-1-1-1-11111000000211-1-10000000000
χ2822222-1-2-2222-12-1-121111-2-2-1-2-1-1-1211-2-21111-1-12-2-2-2-22-2-2111111-1-1-222-1-111-1-1-1-1222200001111-1-1-1-1000000-2-1-1110000000000
χ292222-122222-12-122-1222222-12-1-1-1-122-1-1-1-1-1-122-100002-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-1000022220000000000002200000-1-1-1-100-1-100
χ302222-122222-12-122-1222222-12-1-1-1-122-1-1-1-1-1-122-100002-1-122-1-1-1-122-1-1-1-1-1-1-1-1-1-1-10000-2-2-2-2000000000000-2-2000001111001100
χ312222-122222-12-122-12222-2-2-12-1-1-1-122-1-1-1-1-1-122-10000-211-2-21111-2-2-111-1-1-1-1111100002222000000000000-2-200000-1-1-1-1001100
χ322222-122222-12-122-12222-2-2-12-1-1-1-122-1-1-1-1-1-122-10000-211-2-21111-2-2-111-1-1-1-111110000-2-2-2-20000000000002200000111100-1-100
χ332222-12-2-222-12-122-1-2-2-2-222-1-2-1-1-1-1-2-211111122-10000-2-1-122-1-1-1-1-2-2111-1-1111111000022-2-2000000000000-2200000-1-11100-1100
χ342222-12-2-222-12-122-1-2-2-2-222-1-2-1-1-1-1-2-211111122-10000-2-1-122-1-1-1-1-2-2111-1-11111110000-2-2220000000000002-20000011-1-1001-100
χ352222-12-2-222-12-122-1-2-2-2-2-2-2-1-2-1-1-1-1-2-211111122-10000211-2-21111221-1-1-1-111-1-1-1-1000022-2-20000000000002-200000-1-111001-100
χ362222-12-2-222-12-122-1-2-2-2-2-2-2-1-2-1-1-1-1-2-211111122-10000211-2-21111221-1-1-1-111-1-1-1-10000-2-222000000000000-220000011-1-100-1100
χ372-22-2222i−2i00-2-222-2-22i2i−2i−2i00202-2-20002i−2i2i2i−2i−2i00022−2−2000000000000000000000000−i2i22−2−i2i222−2−2−i2−i2i2i22-22i−2i00000002−2−i2i2000000
χ382-22-2222i−2i00-2-222-2-22i2i−2i−2i00202-2-20002i−2i2i2i−2i−2i00022−2−2000000000000000000000000−i2i2−22i2−i222−2−2−i2−i2i2i2-22−2i2i0000000−22i2−i2000000
χ392-22-2222i−2i00-2-222-2-22i2i−2i−2i00202-2-20002i−2i2i2i−2i−2i000−2−222000000000000000000000000i2−i22−2−i2i2−2−222i2i2−i2−i2-22−2i2i00000002−2−i2i2000000
χ402-22-2222i−2i00-2-222-2-22i2i−2i−2i00202-2-20002i−2i2i2i−2i−2i000−2−222000000000000000000000000i2−i2−22i2−i2−2−222i2i2−i2−i22-22i−2i0000000−22i2−i2000000
χ412-22-222−2i2i00-2-222-2-2−2i−2i2i2i00202-2-2000−2i2i−2i−2i2i2i00022−2−2000000000000000000000000i2−i22−2i2−i222−2−2i2i2−i2−i22-2−2i2i00000002−2i2−i2000000
χ422-22-222−2i2i00-2-222-2-2−2i−2i2i2i00202-2-2000−2i2i−2i−2i2i2i00022−2−2000000000000000000000000i2−i2−22−i2i222−2−2i2i2−i2−i2-222i−2i0000000−22−i2i2000000
χ432-22-222−2i2i00-2-222-2-2−2i−2i2i2i00202-2-2000−2i2i−2i−2i2i2i000−2−222000000000000000000000000−i2i22−2i2−i2−2−222−i2−i2i2i2-222i−2i00000002−2i2−i2000000
χ442-22-222−2i2i00-2-222-2-2−2i−2i2i2i00202-2-2000−2i2i−2i−2i2i2i000−2−222000000000000000000000000−i2i2−22−i2i2−2−222−i2−i2i2i22-2−2i2i0000000−22−i2i2000000
χ452-2-2222002-22-2-2-22-200002-220-22-22000000002-2-22i−2i2i−2i02-22-222-2-2000002-20000002i−2i0000002i−2i2i−2i000000000002i−2i000000000000
χ462-2-2222002-22-2-2-22-200002-220-22-22000000002-2-2−2i2i−2i2i02-22-222-2-2000002-2000000−2i2i000000−2i2i−2i2i00000000000−2i2i000000000000
χ472-2-2222002-22-2-2-22-20000-2220-22-22000000002-2-22i−2i2i−2i0-22-22-2-222000002-2000000−2i2i0000002i−2i2i−2i00000000000−2i2i000000000000
χ482-2-2222002-22-2-2-22-20000-2220-22-22000000002-2-2−2i2i−2i2i0-22-22-2-222000002-20000002i−2i000000−2i2i−2i2i000000000002i−2i000000000000
χ492-2-222-1002-221-21-1-23−33−32-2-101-1123−3003−33−3-11-22i−2i2i−2i02-2-11-1-1113−3000-113−333−3−32i−2i000000−ii−ii−i3i3−i3i30000000−ii−i3i30000000000
χ502-2-222-1002-221-21-1-23−33−32-2-101-1123−3003−33−3-11-2−2i2i−2i2i02-2-11-1-1113−3000-113−333−3−3−2i2i000000i−ii−ii3−i3i3−i30000000i−ii3−i30000000000
χ512-2-222-1002-221-21-1-23−33−3-22-101-1123−3003−33−3-11-22i−2i2i−2i0-221-111-1-1−33000-113−3−3−333−2i2i000000−ii−ii−i3i3−i3i30000000i−ii3−i30000000000
χ522-2-222-1002-221-21-1-23−33−3-22-101-1123−3003−33−3-11-2−2i2i−2i2i0-221-111-1-1−33000-113−3−3−3332i−2i000000i−ii−ii3−i3i3−i30000000−ii−i3i30000000000
χ532-2-222-1002-221-21-1-2−33−332-2-101-112−3300−33−33-11-22i−2i2i−2i02-2-11-1-111−33000-11−33−3−3332i−2i000000−ii−iii3−i3i3−i30000000−iii3−i30000000000
χ542-2-222-1002-221-21-1-2−33−332-2-101-112−3300−33−33-11-2−2i2i−2i2i02-2-11-1-111−33000-11−33−3−333−2i2i000000i−ii−i−i3i3−i3i30000000i−i−i3i30000000000
χ552-2-222-1002-221-21-1-2−33−33-22-101-112−3300−33−33-11-22i−2i2i−2i0-221-111-1-13−3000-11−3333−3−3−2i2i000000−ii−iii3−i3i3−i30000000i−i−i3i30000000000
χ562-2-222-1002-221-21-1-2−33−33-22-101-112−3300−33−33-11-2−2i2i−2i2i0-221-111-1-13−3000-11−3333−3−32i−2i000000i−ii−i−i3i3−i3i30000000−iii3−i30000000000
χ5744444-244-4-44-24-2-24-2-2-2-200-2-4-2-2-2-42244-2-2-2-222-4000000000000000-400222200000000000000000000000000000000000000000
χ5844444-2-4-4-4-44-24-2-24222200-24-2-2-2-4-2-2-4-4222222-400000000000000040022-2-200000000000000000000000000000000000000000
χ594444-2444-4-4-24-244-2444400-2-4-2-2-22-4-4-2-2-2-2-2-2-4-42000000000000000200222200000000000000000000000000000000000000000
χ604444-24-4-4-4-4-24-244-2-4-4-4-400-24-2-2-2244222222-4-42000000000000000-20022-2-200000000000000000000000000000000000000000
χ614444-2-24444-2-2-2-2-2-2-2-2-2-24414111-2-2-2-2-21111-2-2-200004-2-2-2-21111-2-2-2-2-2111111110000000000000000000000000000000000000
χ624444-2-24444-2-2-2-2-2-2-2-2-2-2-4-414111-2-2-2-2-21111-2-2-20000-42222-1-1-1-122-2221111-1-1-1-10000000000000000000000000000000000000
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χ644444-2-244-4-4-2-2-2-2-2-2-2-2-2-2001-4111222-2-21111222000000000-33-3300200-1-1-1-1-33-330000000000000000000000000000000000000
χ654444-2-2-4-444-2-2-2-2-2-22222441-4111-22222-1-1-1-1-2-2-20000-4-2-2-2-211112222211-1-1-1-1-1-10000000000000000000000000000000000000
χ664444-2-2-4-444-2-2-2-2-2-22222-4-41-4111-22222-1-1-1-1-2-2-2000042222-1-1-1-1-2-22-2-211-1-111110000000000000000000000000000000000000
χ674444-2-2-4-4-4-4-2-2-2-2-2-2222200141112-2-222-1-1-1-12220000000003-33-300-200-1-111-33-330000000000000000000000000000000000000
χ684444-2-2-4-4-4-4-2-2-2-2-2-2222200141112-2-222-1-1-1-1222000000000-33-3300-200-1-1113-33-30000000000000000000000000000000000000
χ6944-4-4440000-44-4-4-4400000040-4-44000000000000−2i22i22i2−2i2000000000000000000000000000000−2i22i22i2−2i20000000000000000000000000
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χ914-4-44-2-2004-4-2222-2223−2323−23-4410-11-1-223−2300−33−33-222000002-22-2-1-111−23230001-1−3333−3−30000000000000000000000000000000000000
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χ934-4-44-2-2004-4-2222-22−2323−2323-4410-11-1-2−2323003−33−3-222000002-22-2-1-11123−230001-13−3−3−3330000000000000000000000000000000000000
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χ954-4-44-2-200-44-2222-2223−2323−230010-11-12−232300−33−332-2-2000000000-333-300023−23-113−3−333−30000000000000000000000000000000000000
χ964-4-44-2-200-44-2222-22−2323−23230010-11-1223−23003−33−32-2-20000000003-3-3300023−23-11−33−333−30000000000000000000000000000000000000
χ974-4-44-2-200-44-2222-22−2323−23230010-11-1223−23003−33−32-2-2000000000-333-3000−2323-11−333−3−330000000000000000000000000000000000000
χ9888-8-8-480000484-8-8-4000000-4044-4000000000000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-8-4-400004-4444-4−4i34i34i3−4i30020-2-22000002i3−2i3−2i32i3000000000000000000000000000000000000000000000000000000000000000000
χ10088-8-8-4-400004-4444-44i3−4i3−4i34i30020-2-2200000−2i32i32i3−2i3000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-8-4-48i−8i0044-4-444−4i−4i4i4i00202-2-2000−4i4i2i2i−2i−2i000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-8-4-4−8i8i0044-4-4444i4i−4i−4i00202-2-20004i−4i−2i−2i2i2i000000000000000000000000000000000000000000000000000000000000000000

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