Finite Group Databasebeta

← Group #11864993

Character table — Group #11864993

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size11112222222222222222224444444444444444444444888888888888888888881212121212121212121212122424242424242424242424242424242424243636363636363636
order1244222334446666121212121212223446666666612121212121212121266666666661212121212121212121244441212121212121212246688881212242424242424242422224444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-1-1-1
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
χ51111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-111-1-1-1-11111-1-1-1-111-1-111-1-1
χ61111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-1-111-1-111
χ71111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1111111-1-1-1-1-1-111-1-111
χ81111111111111111111111-1-11-1-111111111111111111-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1111111-1-111-1-1
χ911-1-1-1-1111-1111111-1-1-1-1-1-1111-1-11-1-1-1-1111-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-1111-11-1-1-111-1-111-1-11-11-11-11-1
χ1011-1-1-1-1111-1111111-1-1-1-1-1-1111-1-11-1-1-1-1111-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-111-1-11111-1-1-1-11-111-11-11-1-1-1-111-1-111-11-11-11-11
χ1111-1-1-1-1111-1111111-1-1-1-1-1-1111-1-11-1-1-1-1111-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-11-1-11-11-11111-1-111-1-1-11-11-11-11
χ1211-1-1-1-1111-1111111-1-1-1-1-1-1111-1-11-1-1-1-1111-111-1-1-1-1111111-1-11111-1-1-1-111-1-1-1-1-1-111-1-1-1-11111-11-1-1-11-1111-1-111-1-1111-11-11-11-1
χ1311-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-11-1-11-1-111111-1-1-1-1111-1-111-1-11
χ1411-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1111111111111-1-11111-1-1-1-1-11-1-1-111-111-1-11111-1-1-111-1-111-1
χ1511-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111111-1111-1-11-1-111-1-1-1-111-111-1-111-1
χ1611-1-1-1-1111-1111111-1-1-1-1-1-1-1-11111-1-1-1-1111-111-1-1-1-111-1-1-1-1-1-1-1-1-1-11111111111-1-111-1-1-1-111111-111-111-1-1-1-1-11111-1-11-1-111-1-11
χ1722222222-12222-1-1-122-1-1-1-122-122222-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-10000-1-10000000000000000
χ1822222222-12222-1-1-122-1-1-1-122-122222-1-1-1-1-12-1-1-1-1-1-12222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-2-2-211111111-2-2110000110000000000000000
χ1922222222-12222-1-1-122-1-1-1-1-2-2-1-2-2222-1-1-1-1-12-1-1-1-1-1-122-2-211-1-11111-2-211-1-111112222-1-1-1-1-1-1-1-1-2-2110000110000000000000000
χ2022222222-12222-1-1-122-1-1-1-1-2-2-1-2-2222-1-1-1-1-12-1-1-1-1-1-122-2-211-1-11111-2-211-1-11111-2-2-2-21111111122-1-10000-1-10000000000000000
χ212222222-12222-1222-1-1222222-122-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000000000000000222200-1-1-1-1-1-1-1-100000000
χ222222222-12222-1222-1-1222222-122-1-1-122-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-122-1-1-1-1-1-10000000000000000-2-2-2-2001111111100000000
χ232222222-12222-1222-1-12222-2-2-1-2-2-1-1-122-1-1-1-122-1-1-1-1-1-111-2-2-1-1111111-2-2-1-11111000000000000000022-2-200-1-1-1-1111100000000
χ242222222-12222-1222-1-12222-2-2-1-2-2-1-1-122-1-1-1-122-1-1-1-1-1-111-2-2-1-1111111-2-2-1-111110000000000000000-2-222001111-1-1-1-100000000
χ2522222-2-222-22-22-2-222222-2-200200-22-22-2-2-22-22-222-2-22-200002-2000000002-20000000000000000000000000000000000002-200-22
χ2622222-2-222-22-22-2-222222-2-200200-22-22-2-2-22-22-222-2-22-200002-2000000002-2000000000000000000000000000000000000-22002-2
χ272222-22-222-2-222-2-222222-2-200200-2-22-22-2-22-2-2222-2-2-220000-2200000000-2200000000000000000000000000000000002-200-2200
χ282222-22-222-2-222-2-222222-2-200200-2-22-22-2-22-2-2222-2-2-220000-2200000000-220000000000000000000000000000000000-22002-200
χ292222-2-22222-2-222222222222-222-22-2-2-2-22222-2-22222-2-22-22-2-2-222-2-22-22-2-2-222-2-200000000000000000000000000000000000000
χ302222-2-22222-2-22222222222-222-222-2-2-2-22222-2-22222-2-2-22-22-2-2-2-222-22-22-2-2-2-22200000000000000000000000000000000000000
χ312222-2-222-12-2-22-1-1-122-1-1-1-12-2-12-22-2-211-1-1-1211-1-1-1-1-2-22-2-1111-1-1112-2-1111-1-1110000−i3−i3i3i3−i3−i3i3i300−i3i30000−i3i30000000000000000
χ322222-2-222-12-2-22-1-1-122-1-1-1-12-2-12-22-2-211-1-1-1211-1-1-1-1-2-22-2-1111-1-1112-2-1111-1-1110000i3i3−i3−i3i3i3−i3−i300i3−i30000i3−i30000000000000000
χ332222-2-222-12-2-22-1-1-122-1-1-1-1-22-1-222-2-211-1-1-1211-1-1-1-1-2-2-221-11111-1-1-221-11111-1-10000−i3−i3i3i3−i3−i3i3i300i3−i30000i3−i30000000000000000
χ342222-2-222-12-2-22-1-1-122-1-1-1-1-22-1-222-2-211-1-1-1211-1-1-1-1-2-2-221-11111-1-1-221-11111-1-10000i3i3−i3−i3i3i3−i3−i300−i3i30000−i3i30000000000000000
χ352222-2-22-122-2-2-1222-1-122222-2-12-2-111-2-2-1-1-1-1-2-2-1-1-1-111-112-211-1-111-112-211-1-11100000000000000000000003−33−33−33−300000000
χ362222-2-22-122-2-2-1222-1-122222-2-12-2-111-2-2-1-1-1-1-2-2-1-1-1-111-112-211-1-111-112-211-1-1110000000000000000000000−33−33−33−3300000000
χ372222-2-22-122-2-2-1222-1-12222-22-1-22-111-2-2-1-1-1-1-2-2-1-1-1-1111-1-221111-1-11-1-221111-1-100000000000000000000003−33−3−33−3300000000
χ382222-2-22-122-2-2-1222-1-12222-22-1-22-111-2-2-1-1-1-1-2-2-1-1-1-1111-1-221111-1-11-1-221111-1-10000000000000000000000−33−333−33−300000000
χ3922-2-222222-2-2-22222-2-2-2-2-2-22-22-2222222222-2-2-2-2-2-2-2-2-22-22-22222-2-2-22-22-2-2-2-22200000000000000000000000000000000000000
χ4022-2-222222-2-2-22222-2-2-2-2-2-2-2222-222222222-2-2-2-2-2-2-2-2-2-22-2222-2-2222-22-2-2-222-2-200000000000000000000000000000000000000
χ4122-2-22222-1-2-2-22-1-1-1-2-211112-2-1-22222-1-1-1-1-1-2111111-2-22-2-11-1-1-1-111-221-11111-1-10000−i3−i3i3i3i3i3−i3−i300−i3i30000i3−i30000000000000000
χ4222-2-22222-1-2-2-22-1-1-1-2-211112-2-1-22222-1-1-1-1-1-2111111-2-22-2-11-1-1-1-111-221-11111-1-10000i3i3−i3−i3−i3−i3i3i300i3−i30000−i3i30000000000000000
χ4322-2-22222-1-2-2-22-1-1-1-2-21111-22-12-2222-1-1-1-1-1-2111111-2-2-221-1-1-111-1-12-2-1111-1-1110000−i3−i3i3i3i3i3−i3−i300i3−i30000−i3i30000000000000000
χ4422-2-22222-1-2-2-22-1-1-1-2-21111-22-12-2222-1-1-1-1-1-2111111-2-2-221-1-1-111-1-12-2-1111-1-1110000i3i3−i3−i3−i3−i3i3i300−i3i30000i3−i30000000000000000
χ4522-2-2222-12-2-2-2-122211-2-2-2-22-2-1-22-1-1-122-1-1-11-2-2111111-112-2-1-1-1-1111-1-221111-1-100000000000000000000003−3−333−3−3300000000
χ4622-2-2222-12-2-2-2-122211-2-2-2-22-2-1-22-1-1-122-1-1-11-2-2111111-112-2-1-1-1-1111-1-221111-1-10000000000000000000000−333−3−333−300000000
χ4722-2-2222-12-2-2-2-122211-2-2-2-2-22-12-2-1-1-122-1-1-11-2-21111111-1-22-1-111-1-1-112-211-1-11100000000000000000000003−3−33−333−300000000
χ4822-2-2222-12-2-2-2-122211-2-2-2-2-22-12-2-1-1-122-1-1-11-2-21111111-1-22-1-111-1-1-112-211-1-1110000000000000000000000−333−33−3−3300000000
χ4922-2-22-2-2222-222-2-22-2-2-2-22200200-22-22-2-2-222-22-2-222-2200002-200000000-2200000000000000000000000000000000002200-2-200
χ5022-2-22-2-2222-222-2-22-2-2-2-22200200-22-22-2-2-222-22-2-222-2200002-200000000-220000000000000000000000000000000000-2-2002200
χ5122-2-2-22-22222-22-2-22-2-2-2-22200200-2-22-22-2-2222-2-2-2222-20000-22000000002-20000000000000000000000000000000000002200-2-2
χ5222-2-2-22-22222-22-2-22-2-2-2-22200200-2-22-22-2-2222-2-2-2222-20000-22000000002-2000000000000000000000000000000000000-2-20022
χ5322-2-2-2-222-1-2222-1-1-1-2-2111122-1-2-22-2-211-1-1-1-2-1-111112222-1-111-1-1-1-1-2-211-1-1111122-2-2-1-1-1-111112-2-1-10000110000000000000000
χ5422-2-2-2-222-1-2222-1-1-1-2-2111122-1-2-22-2-211-1-1-1-2-1-111112222-1-111-1-1-1-1-2-211-1-11111-2-2221111-1-1-1-1-22110000-1-10000000000000000
χ5522-2-2-2-222-1-2222-1-1-1-2-21111-2-2-1222-2-211-1-1-1-2-1-1111122-2-21111111122-1-1-1-1-1-1-1-122-2-2-1-1-1-11111-22110000-1-10000000000000000
χ5622-2-2-2-222-1-2222-1-1-1-2-21111-2-2-1222-2-211-1-1-1-2-1-1111122-2-21111111122-1-1-1-1-1-1-1-1-2-2221111-1-1-1-12-2-1-10000110000000000000000
χ5722-2-2-2-22-12-222-122211-2-2-2-222-1-2-2-111-2-2-1-1-11221111-1-1-1-12211-1-1-1-111-2-2-1-1111100000000000000002-22-200-1-111-1-11100000000
χ5822-2-2-2-22-12-222-122211-2-2-2-222-1-2-2-111-2-2-1-1-11221111-1-1-1-12211-1-1-1-111-2-2-1-111110000000000000000-22-220011-1-111-1-100000000
χ5922-2-2-2-22-12-222-122211-2-2-2-2-2-2-122-111-2-2-1-1-11221111-1-111-2-2111111-1-122-1-1-1-1-1-100000000000000002-2-2200-1-11111-1-100000000
χ6022-2-2-2-22-12-222-122211-2-2-2-2-2-2-122-111-2-2-1-1-11221111-1-111-2-2111111-1-122-1-1-1-1-1-10000000000000000-222-20011-1-1-1-11100000000
χ614444444-2-2444-2-2-2-2-2-2-2-2-2-244144-2-2-2-2-2111-2-2-21111-2-2-2-2-2-2111111-2-2-2-211111100000000000000000000000000000000000000
χ624444444-2-2444-2-2-2-2-2-2-2-2-2-2-4-41-4-4-2-2-2-2-2111-2-2-21111-2-2222211-1-1-1-1222211-1-1-1-100000000000000000000000000000000000000
χ6344444-4-44-2-44-4422-244-2-22200-200-44-4-2222-2-4-22-2-2224-40000-2200000000-22000000000000000000000000000000000000000000
χ6444444-4-4-24-44-4-2-4-44-2-244-4-400-2002-224-422-224-4-2-222-220000-2200000000-22000000000000000000000000000000000000000000
χ6544444-4-4-2-2-44-4-222-2-2-2-2-222001002-22-22-1-112-2211-1-1-2200001-13-33-300001-13-33-300000000000000000000000000000000000000
χ6644444-4-4-2-2-44-4-222-2-2-2-2-222001002-22-22-1-112-2211-1-1-2200001-1-33-3300001-1-33-3300000000000000000000000000000000000000
χ674444-44-44-2-4-44422-244-2-22200-200-4-442-222-2-42-2-2-222-4400002-2000000002-2000000000000000000000000000000000000000000
χ684444-44-4-24-4-44-2-4-44-2-244-4-400-20022-2-4422-22-44-2-2222-200002-2000000002-2000000000000000000000000000000000000000000
χ694444-44-4-2-2-4-44-222-2-2-2-2-2220010022-22-2-1-1122-211-1-12-20000-113-3-330000-113-3-3300000000000000000000000000000000000000
χ704444-44-4-2-2-4-44-222-2-2-2-2-2220010022-22-2-1-1122-211-1-12-20000-11-333-30000-11-333-300000000000000000000000000000000000000
χ714444-4-44-2-24-4-4-2-2-2-2-2-2-2-2-2-24-414-4-22222111-222111122-22-22-1-111-1-1-22-22-1-111-1-100000000000000000000000000000000000000
χ724444-4-44-2-24-4-4-2-2-2-2-2-2-2-2-2-2-441-44-22222111-2221111222-22-2-1-1-1-1112-22-2-1-1-1-11100000000000000000000000000000000000000
χ7344-4-4444-2-2-4-4-4-2-2-2-22222224-41-44-2-2-2-2-2111222-1-1-1-122-22-221111-1-12-22-2-1-1-1-11100000000000000000000000000000000000000
χ7444-4-4444-2-2-4-4-4-2-2-2-2222222-4414-4-2-2-2-2-2111222-1-1-1-1222-22-211-1-111-22-22-1-111-1-100000000000000000000000000000000000000
χ7544-4-44-4-44-24-44422-2-4-422-2-200-200-44-4-2222-242-222-2-2-440000-22000000002-2000000000000000000000000000000000000000000
χ7644-4-44-4-4-244-44-2-4-4422-4-44400-2002-224-422-2-2-4422-2-22-20000-22000000002-2000000000000000000000000000000000000000000
χ7744-4-44-4-4-2-24-44-222-22222-2-2001002-22-22-1-11-22-2-1-1112-200001-13-3-330000-11-333-300000000000000000000000000000000000000
χ7844-4-44-4-4-2-24-44-222-22222-2-2001002-22-22-1-11-22-2-1-1112-200001-1-333-30000-113-3-3300000000000000000000000000000000000000
χ7944-4-4-44-44-244-4422-2-4-422-2-200-200-4-442-222-24-2222-2-24-400002-200000000-22000000000000000000000000000000000000000000
χ8044-4-4-44-4-2444-4-2-4-4422-4-44400-20022-2-4422-2-24-422-2-2-2200002-200000000-22000000000000000000000000000000000000000000
χ8144-4-4-44-4-2-244-4-222-22222-2-20010022-22-2-1-11-2-22-1-111-220000-113-33-300001-1-33-3300000000000000000000000000000000000000
χ8244-4-4-44-4-2-244-4-222-22222-2-20010022-22-2-1-11-2-22-1-111-220000-11-33-3300001-13-33-300000000000000000000000000000000000000
χ8344-4-4-4-44-2-2-444-2-2-2-2222222441-4-4-222221112-2-2-1-1-1-1-2-2-2-2-2-2-1-11111222211-1-1-1-100000000000000000000000000000000000000
χ8444-4-4-4-44-2-2-444-2-2-2-2222222-4-4144-222221112-2-2-1-1-1-1-2-22222-1-1-1-1-1-1-2-2-2-211111100000000000000000000000000000000000000
χ854-44i−4i00044000-400-44i−4i4i−4i00004000000000-40004i−4i0000000000000000000000002-22i−2i2-22-22i−2i2i−2i00000000000000000000000000
χ864-44i−4i00044000-400-44i−4i4i−4i00004000000000-40004i−4i000000000000000000000000-22−2i2i-22-22−2i2i−2i2i00000000000000000000000000
χ874-44i−4i0004-2000-4−2i32i324i−4i−2i2i23−2300-20000000−2i32i32000−2i2i23−2300000000000000000000002-22i−2i−1−i31+i3−1+i31−i32ζ11−2ζ112ζ7−2ζ700000000000000000000000000
χ884-44i−4i0004-2000-4−2i32i324i−4i−2i2i23−2300-20000000−2i32i32000−2i2i23−230000000000000000000000-22−2i2i1+i3−1−i31−i3−1+i3−2ζ112ζ11−2ζ72ζ700000000000000000000000000
χ894-44i−4i0004-2000-42i3−2i324i−4i−2i2i−232300-200000002i3−2i32000−2i2i−232300000000000000000000002-22i−2i−1+i31−i3−1−i31+i32ζ7−2ζ72ζ11−2ζ1100000000000000000000000000
χ904-44i−4i0004-2000-42i3−2i324i−4i−2i2i−232300-200000002i3−2i32000−2i2i−23230000000000000000000000-22−2i2i1−i3−1+i31+i3−1−i3−2ζ72ζ7−2ζ112ζ1100000000000000000000000000
χ914-4−4i4i00044000-400-4−4i4i−4i4i00004000000000-4000−4i4i0000000000000000000000002-2−2i2i2-22-2−2i2i−2i2i00000000000000000000000000
χ924-4−4i4i00044000-400-4−4i4i−4i4i00004000000000-4000−4i4i000000000000000000000000-222i−2i-22-222i−2i2i−2i00000000000000000000000000
χ934-4−4i4i0004-2000-4−2i32i32−4i4i2i−2i−232300-20000000−2i32i320002i−2i−232300000000000000000000002-2−2i2i−1−i31+i3−1+i31−i3−2ζ112ζ11−2ζ72ζ700000000000000000000000000
χ944-4−4i4i0004-2000-4−2i32i32−4i4i2i−2i−232300-20000000−2i32i320002i−2i−23230000000000000000000000-222i−2i1+i3−1−i31−i3−1+i32ζ11−2ζ112ζ7−2ζ700000000000000000000000000
χ954-4−4i4i0004-2000-42i3−2i32−4i4i2i−2i23−2300-200000002i3−2i320002i−2i23−2300000000000000000000002-2−2i2i−1+i31−i3−1−i31+i3−2ζ72ζ7−2ζ112ζ1100000000000000000000000000
χ964-4−4i4i0004-2000-42i3−2i32−4i4i2i−2i23−2300-200000002i3−2i320002i−2i23−230000000000000000000000-222i−2i1−i3−1+i31+i3−1−i32ζ7−2ζ72ζ11−2ζ1100000000000000000000000000
χ978-88i−8i000-48000400-8−4i4i8i−8i0000-40000000004000−4i4i00000000000000000000000000000000000000000000000000000000000000
χ988-88i−8i000-4-40004−4i34i34−4i4i−4i4i43−4300200000002i3−2i3-20002i−2i−2323000000000000000000000000000000000000000000000000000000000000
χ998-88i−8i000-4-400044i3−4i34−4i4i−4i4i−43430020000000−2i32i3-20002i−2i23−23000000000000000000000000000000000000000000000000000000000000
χ1008-8−8i8i000-48000400-84i−4i−8i8i0000-400000000040004i−4i00000000000000000000000000000000000000000000000000000000000000
χ1018-8−8i8i000-4-40004−4i34i344i−4i4i−4i−434300200000002i3−2i3-2000−2i2i23−23000000000000000000000000000000000000000000000000000000000000
χ1028-8−8i8i000-4-400044i3−4i344i−4i4i−4i43−430020000000−2i32i3-2000−2i2i−2323000000000000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 12 (ζ12 = 1); i = ζ3.