Finite Group Databasebeta

← Group #11864518

Character table — Group #11864518

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order122222334444666666666634444666666666121212121212121212121212121212121212121212121212121212128888242424242424242444448812121212121212122424242422224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-11111-1-1-1-1-1-1-1-1
χ41111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ511111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1
χ611111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111-1-111
χ711111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111-1-111
χ811111111111111111111111-1-1-1-111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-111-1-1
χ91111-1-111-1-11111-1-1-1-11111111-1-1-1-111-1-1-1-111-1-11-1-11111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-11-11-11-111-1-111-1-111-1-1111-1-1-11-1
χ101111-1-111-1-11111-1-1-1-11111111-1-1-1-111-1-1-1-111-1-11-1-11111-1-111-1-111-1-11111-1-1-1-111-1-11111-1-1-1-1-111-1-11-1-11111-1-1-1-111-1-1-1111-11
χ111111-1-111-1-11111-1-1-1-11111111-1-1-1-111-1-1-1-111-1-11-1-11111-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-111111-1-111-111-1-1-1-11111-1-1-1-1-1111-11
χ121111-1-111-1-11111-1-1-1-11111111-1-1-1-111-1-1-1-111-1-11-1-11111-1-111-1-111-1-11111-1-1-1-1-1-111-1-1-1-11111-11-11-11-1-111-1-111-1-111111-1-1-11-1
χ131111-1-111-1-11111-1-1-1-111111-1-111-1-111-1-1-1-111-1-11-1-111-1-111-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-11-1-11-1111-1-1-1-111-1-11111-11-1-1-11
χ141111-1-111-1-11111-1-1-1-111111-1-111-1-111-1-1-1-111-1-11-1-111-1-111-1-11111-1-1-1-1-1-1111111-1-11111-1-1-1-1-11-111-1-1-111-1-11111-1-1-1-11-1111-1
χ151111-1-111-1-11111-1-1-1-111111-1-111-1-111-1-1-1-111-1-11-1-111-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-111111-11-1-1111-1-111-1-1-1-111-1-11-1111-1
χ161111-1-111-1-11111-1-1-1-111111-1-111-1-111-1-1-1-111-1-11-1-111-1-111-1-11111-1-1-1-1-1-11111-1-111-1-1-1-11111-111-11-1-1-11111-1-111-1-111-11-1-1-11
χ1722222222-2-2-2-2222222222220000222222222-2-2-2-2-2-2-2-200000000-2-2-2-200000000000000000000000000000000000000002-200-22
χ1822222222-2-2-2-2222222222220000222222222-2-2-2-2-2-2-2-200000000-2-2-2-20000000000000000000000000000000000000000-22002-2
χ192222222-12222222222-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-1222-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000220022-1-1-1-10000-1-1-1-100000000
χ202222222-12222222222-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-1222-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1000000000000-2-200-2-211110000111100000000
χ212222222-12222222222-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1222-121111-2-2-2-2-1-1-1-1111111110000000000002200-2-2-1-1-1-10000111100000000
χ222222222-12222222222-1-1-12-1-2-2-2-2-1-1-1-1-1-1-1-1-1-1-1-1222-121111-2-2-2-2-1-1-1-111111111000000000000-2-2002211110000-1-1-1-100000000
χ23222222-122222-1-1-1-1-1-1222-1-1222222-1-1-1-1-1-1-1222-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10022000000-1-1-1-1000000000000
χ24222222-122222-1-1-1-1-1-1222-1-1222222-1-1-1-1-1-1-1222-1-1-12-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-21111111100-2-20000001111000000000000
χ25222222-122222-1-1-1-1-1-1222-1-1-2-2-2-222-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-21111-1-1-1-1111111112222-1-1-1-1-1-1-1-100-2-20000001111000000000000
χ26222222-122222-1-1-1-1-1-1222-1-1-2-2-2-222-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-21111-1-1-1-111111111-2-2-2-2111111110022000000-1-1-1-1000000000000
χ272222-2-22222-2-222-2-2-2-2222220000-2-222-2-2-2-22-222-222-2-200000000-2-22200000000000000000000000000000000000000002200-2-2
χ282222-2-22222-2-222-2-2-2-2222220000-2-222-2-2-2-22-222-222-2-200000000-2-2220000000000000000000000000000000000000000-2-20022
χ292222-2-22-1-2-22222-2-2-2-2-1-1-12-122-2-211-1-11111-1-1112-2-2-12-1-11122-2-2-1-111-1-1-1-111110000000000002-2002-2-1-1110000-1-11100000000
χ302222-2-22-1-2-22222-2-2-2-2-1-1-12-122-2-211-1-11111-1-1112-2-2-12-1-11122-2-2-1-111-1-1-1-11111000000000000-2200-2211-1-1000011-1-100000000
χ312222-2-22-1-2-22222-2-2-2-2-1-1-12-1-2-22211-1-11111-1-1112-2-2-1211-1-1-2-222-1-1111111-1-1-1-10000000000002-200-22-1-111000011-1-100000000
χ322222-2-22-1-2-22222-2-2-2-2-1-1-12-1-2-22211-1-11111-1-1112-2-2-1211-1-1-2-222-1-1111111-1-1-1-1000000000000-22002-211-1-10000-1-11100000000
χ332222-2-2-12-2-222-1-11111222-1-122-2-2-2-2-1-11111-12-2-2-1112-122-2-2-1-111-1-111-1-1-1-1111122-2-2-1-1-1-11111002-2000000-1-111000000000000
χ342222-2-2-12-2-222-1-11111222-1-122-2-2-2-2-1-11111-12-2-2-1112-122-2-2-1-111-1-111-1-1-1-11111-2-2221111-1-1-1-100-2200000011-1-1000000000000
χ352222-2-2-12-2-222-1-11111222-1-1-2-222-2-2-1-11111-12-2-2-1112-1-2-22211-1-1-1-1111111-1-1-1-122-2-2-1-1-1-1111100-2200000011-1-1000000000000
χ362222-2-2-12-2-222-1-11111222-1-1-2-222-2-2-1-11111-12-2-2-1112-1-2-22211-1-1-1-1111111-1-1-1-1-2-2221111-1-1-1-1002-2000000-1-111000000000000
χ372-2-222-2222-22-2-2-222-2-22-2-22200002-2-2-222-2-22-22-222-22-2000000002-22-2000000000000000000000000000000000000002-2002-200
χ382-2-222-2222-22-2-2-222-2-22-2-22200002-2-2-222-2-22-22-222-22-2000000002-22-200000000000000000000000000000000000000-2200-2200
χ392-2-222-222-22-22-2-222-2-22-2-2222-22-22-2-2-222-2-222-22-2-22-222-22-22-22-2-22-2222-2-222-2-200000000000000000000000000000000000000
χ402-2-222-222-22-22-2-222-2-22-2-222-22-222-2-2-222-2-222-22-2-22-22-22-22-22-22-22-22-2-222-2-22200000000000000000000000000000000000000
χ412-2-222-22-1-22-22-2-222-2-2-1112-12-22-2-1111-1-111-1-11-1-2-2212-11-112-22-21-11-1-1-111-1-1110000000000000000003−33−300003−33−300000000
χ422-2-222-22-1-22-22-2-222-2-2-1112-12-22-2-1111-1-111-1-11-1-2-2212-11-112-22-21-11-1-1-111-1-111000000000000000000−33−330000−33−3300000000
χ432-2-222-22-1-22-22-2-222-2-2-1112-1-22-22-1111-1-111-1-11-1-2-22121-11-1-22-221-11-111-1-111-1-10000000000000000003−33−30000−33−3300000000
χ442-2-222-22-1-22-22-2-222-2-2-1112-1-22-22-1111-1-111-1-11-1-2-22121-11-1-22-221-11-111-1-111-1-1000000000000000000−33−3300003−33−300000000
χ452-2-222-2-12-22-2211-1-1112-2-2-1-12-22-22-211-1-111-12-2211-1-2-12-22-2-11-111-11-1-1-111-1-1110000−i3−i3i3i3−i3−i3i3i30000000000−i3i3−i3i3000000000000
χ462-2-222-2-12-22-2211-1-1112-2-2-1-12-22-22-211-1-111-12-2211-1-2-12-22-2-11-111-11-1-1-111-1-1110000i3i3−i3−i3i3i3−i3−i30000000000i3−i3i3−i3000000000000
χ472-2-222-2-12-22-2211-1-1112-2-2-1-1-22-222-211-1-111-12-2211-1-2-1-22-221-11-11-11-111-1-111-1-10000−i3−i3i3i3−i3−i3i3i30000000000i3−i3i3−i3000000000000
χ482-2-222-2-12-22-2211-1-1112-2-2-1-1-22-222-211-1-111-12-2211-1-2-1-22-221-11-11-11-111-1-111-1-10000i3i3−i3−i3i3i3−i3−i30000000000−i3i3−i3i3000000000000
χ492-2-22-22222-2-22-2-2-2-2222-2-2222-2-22-22-2-2-2-222222-2-22-2-222-2-222-2-22-222-222-2-2-2-22200000000000000000000000000000000000000
χ502-2-22-22222-2-22-2-2-2-2222-2-222-222-2-22-2-2-2-222222-2-22-2-22-222-2-222-2-222-2-2-22222-2-200000000000000000000000000000000000000
χ512-2-22-2222-222-2-2-2-2-2222-2-2220000-22-2-2-2-2222-2-222-222-2000000002-2-22000000000000000000000000000000000000002-200-2200
χ522-2-22-2222-222-2-2-2-2-2222-2-2220000-22-2-2-2-2222-2-222-222-2000000002-2-2200000000000000000000000000000000000000-22002-200
χ532-2-22-222-12-2-22-2-2-2-222-1112-12-2-221-11111-1-1-1-1-11-22-212-111-12-2-221-1-11-1-11111-1-10000000000000000003−3−3300003−3−3300000000
χ542-2-22-222-12-2-22-2-2-2-222-1112-12-2-221-11111-1-1-1-1-11-22-212-111-12-2-221-1-11-1-11111-1-1000000000000000000−333−30000−333−300000000
χ552-2-22-222-12-2-22-2-2-2-222-1112-1-222-21-11111-1-1-1-1-11-22-2121-1-11-222-21-1-1111-1-1-1-1110000000000000000003−3−330000−333−300000000
χ562-2-22-222-12-2-22-2-2-2-222-1112-1-222-21-11111-1-1-1-1-11-22-2121-1-11-222-21-1-1111-1-1-1-111000000000000000000−333−300003−3−3300000000
χ572-2-22-22-122-2-221111-1-12-2-2-1-12-2-22-221111-1-1-122-21-11-2-12-2-22-111-11-1-11-1-11111-1-10000−i3−i3i3i3i3i3−i3−i30000000000−i3i3i3−i3000000000000
χ582-2-22-22-122-2-221111-1-12-2-2-1-12-2-22-221111-1-1-122-21-11-2-12-2-22-111-11-1-11-1-11111-1-10000i3i3−i3−i3−i3−i3i3i30000000000i3−i3−i3i3000000000000
χ592-2-22-22-122-2-221111-1-12-2-2-1-1-222-2-221111-1-1-122-21-11-2-1-222-21-1-111-1-1111-1-1-1-1110000−i3−i3i3i3i3i3−i3−i30000000000i3−i3−i3i3000000000000
χ602-2-22-22-122-2-221111-1-12-2-2-1-1-222-2-221111-1-1-122-21-11-2-1-222-21-1-111-1-1111-1-1-1-1110000i3i3−i3−i3−i3−i3i3i30000000000−i3i3i3−i3000000000000
χ614444444-2-4-4-4-4444444-2-2-24-20000-2-2-2-2-2-2-2-2-2222-4-4-42-40000000022220000000000000000000000000000000000000000000000
χ62444444-24-4-4-4-4-2-2-2-2-2-2444-2-2000044-2-2-2-2-2-2-2-4-4-4222-420000000022220000000000000000000000000000000000000000000000
χ63444444-2-24444-2-2-2-2-2-2-2-2-2-214444-2-21111111-2-2-2-2-2-2-2-2-2-2-2-2-2-2-2-211111111111100000000000000000000000000000000000000
χ64444444-2-24444-2-2-2-2-2-2-2-2-2-21-4-4-4-4-2-21111111-2-2-2-2-2-2-2-2222222221111-1-1-1-1-1-1-1-100000000000000000000000000000000000000
χ65444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-210000-2-211111112222222200000000-1-1-1-13-33-33-33-300000000000000000000000000000000000000
χ66444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-210000-2-211111112222222200000000-1-1-1-1-33-33-33-3300000000000000000000000000000000000000
χ674444-4-44-244-4-444-4-4-4-4-2-2-24-2000022-2-22222-22-2-2-4442-40000000022-2-20000000000000000000000000000000000000000000000
χ684444-4-4-2444-4-4-2-22222444-2-20000-4-4-2-22222-2-4442-2-2-420000000022-2-20000000000000000000000000000000000000000000000
χ694444-4-4-2-244-4-4-2-22222-2-2-2-2100002211-1-1-1-112-2-22-2-22200000000-1-1113-33-3-33-3300000000000000000000000000000000000000
χ704444-4-4-2-244-4-4-2-22222-2-2-2-2100002211-1-1-1-112-2-22-2-22200000000-1-111-33-333-33-300000000000000000000000000000000000000
χ714444-4-4-2-2-4-444-2-22222-2-2-2-2144-4-42211-1-1-1-11-222-222-2-2-2-222-2-22211-1-11111-1-1-1-100000000000000000000000000000000000000
χ724444-4-4-2-2-4-444-2-22222-2-2-2-21-4-4442211-1-1-1-11-222-222-2-222-2-222-2-211-1-1-1-1-1-1111100000000000000000000000000000000000000
χ7344-4-4004400004-40000-44-4-440000004-40000-400000000000000000000000000000022−22000022−2222−2200000000000000000000000000
χ7444-4-4004400004-40000-44-4-440000004-40000-4000000000000000000000000000000−22220000−2222−222200000000000000000000000000
χ7544-4-400-240000-22−2i32i3−2i32i3-44-42-2000000-22−2i32i3−2i32i3200000000000000000000000000000022−22i6−i6i6−i6−22−2200000000000000000000000000
χ7644-4-400-240000-22−2i32i3−2i32i3-44-42-2000000-22−2i32i3−2i32i32000000000000000000000000000000−2222−i6i6−i6i62−22−200000000000000000000000000
χ7744-4-400-240000-222i3−2i32i3−2i3-44-42-2000000-222i3−2i32i3−2i3200000000000000000000000000000022−22−i6i6−i6i6−22−2200000000000000000000000000
χ7844-4-400-240000-222i3−2i32i3−2i3-44-42-2000000-222i3−2i32i3−2i32000000000000000000000000000000−2222i6−i6i6−i62−22−200000000000000000000000000
χ794-44-400440000-440000-4-44-44000000-440000-4000000000000000000000000000022−220022−22−2222000000000000000000000000000000
χ804-44-400440000-440000-4-44-44000000-440000-40000000000000000000000000000−222200−222222−22000000000000000000000000000000
χ814-44-400-2400002-2−2i32i32i3−2i3-4-442-20000002-2−2i32i32i3−2i32000000000000000000000000000022−2200−222−2i6−i6−i6i600000000000000000000000000
χ824-44-400-2400002-2−2i32i32i3−2i3-4-442-20000002-2−2i32i32i3−2i320000000000000000000000000000−2222002−2−22−i6i6i6−i600000000000000000000000000
χ834-44-400-2400002-22i3−2i3−2i32i3-4-442-20000002-22i3−2i3−2i32i32000000000000000000000000000022−2200−222−2−i6i6i6−i600000000000000000000000000
χ844-44-400-2400002-22i3−2i3−2i32i3-4-442-20000002-22i3−2i3−2i32i320000000000000000000000000000−2222002−2−22i6−i6−i6i600000000000000000000000000
χ854-4-444-44-24-44-4-4-444-4-4-2224-20000-2222-2-222-22-2244-4-2-400000000-22-220000000000000000000000000000000000000000000000
χ864-4-444-4-244-44-422-2-2224-4-4-2-200004-422-2-222-2-44-4-2-224200000000-22-220000000000000000000000000000000000000000000000
χ874-4-444-4-2-24-44-422-2-222-222-210000-22-1-111-1-112-22-2-22-22000000001-11-13-3-333-3-3300000000000000000000000000000000000000
χ884-4-444-4-2-24-44-422-2-222-222-210000-22-1-111-1-112-22-2-22-22000000001-11-1-333-3-333-300000000000000000000000000000000000000
χ894-4-444-4-2-2-44-4422-2-222-222-214-44-4-22-1-111-1-11-22-222-22-2-22-22-22-22-11-1111-1-111-1-100000000000000000000000000000000000000
χ904-4-444-4-2-2-44-4422-2-222-222-21-44-44-22-1-111-1-11-22-222-22-22-22-22-22-2-11-11-1-111-1-11100000000000000000000000000000000000000
χ914-4-44-444-2-444-4-4-4-4-444-2224-200002-22222-2-2-222-24-44-2-400000000-222-20000000000000000000000000000000000000000000000
χ924-4-44-44-24-444-42222-2-24-4-4-2-20000-442222-2-2-2-4-44-22-24200000000-222-20000000000000000000000000000000000000000000000
χ934-4-44-44-2-24-4-442222-2-2-222-214-4-442-2-1-1-1-1111-2-222-222-2-222-2-222-2-111-111-1-1-1-11100000000000000000000000000000000000000
χ944-4-44-44-2-24-4-442222-2-2-222-21-444-42-2-1-1-1-1111-2-222-222-22-2-222-2-22-111-1-1-11111-1-100000000000000000000000000000000000000
χ954-4-44-44-2-2-444-42222-2-2-222-2100002-2-1-1-1-111122-2-22-2-22000000001-1-113-3-33-333-300000000000000000000000000000000000000
χ964-4-44-44-2-2-444-42222-2-2-222-2100002-2-1-1-1-111122-2-22-2-22000000001-1-11-333-33-3-3300000000000000000000000000000000000000
χ9788-8-8008-400008-800004-44-8-4000000-4400004000000000000000000000000000000000000000000000000000000000000000000
χ9888-8-800-4-40000-44−4i34i3−4i34i34-44420000002-22i3−2i32i3−2i3-2000000000000000000000000000000000000000000000000000000000000000000
χ9988-8-800-4-40000-444i3−4i34i3−4i34-44420000002-2−2i32i3−2i32i3-2000000000000000000000000000000000000000000000000000000000000000000
χ1008-88-8008-40000-88000044-4-8-40000004-400004000000000000000000000000000000000000000000000000000000000000000000
χ1018-88-800-4-400004-4−4i34i34i3−4i344-442000000-222i3−2i3−2i32i3-2000000000000000000000000000000000000000000000000000000000000000000
χ1028-88-800-4-400004-44i3−4i3−4i34i344-442000000-22−2i32i32i3−2i3-2000000000000000000000000000000000000000000000000000000000000000000

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