Finite Group Databasebeta

← Group #11865802

Character table — Group #11865802

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222222222333344444444444444466666666888888888888812121212121212121212121212121216161616161624242424242424242424242424243636363636363636
order12223344446666664444346661212121212121212121222441212121224661212121212121212122244466888812121212666121212246666121212122424242444448888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111-1-11-1-111-1-1-1-1111111111111-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-1-1-11-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-1-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-1-1-11-1-1111111-1-11-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1111111111111111-111-1-11111-1-1-1-1111111-1-111-1-111-1-11111-1-1-1-1-1-1-1-1
χ61111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111
χ71111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-111111111-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111111111-1-1-1-1
χ9111111-1-11111111111111-11111-1-1-1-1-1-111111-1-111111-111-1-1-1-1-1-1-11111-1-1-11111-1-1-1-1-1-1111-1-1-1-1111-1-1-1-11111-1-1-1-11111-1-1
χ10111111-1-11111111111111-11111-1-1-1-1-1-111111-1-111111-111-1-1-1-1-1-1-111-1-1-11111-1-111-1-1-1-1111-1-1-1-11-1-1-1-11111-1-11111-1-1-1-111
χ11111111-1-11111111111111-11111-1-1-1-1-1-111111-1-11111-11-1-1-111-1-1-1-11111-1-1-111-1-111-1-1-1-1-1-1-11111-11111-1-1-1-1-1-111-1-111-1-111
χ12111111-1-11111111111111-11111-1-1-1-1-1-111111-1-11111-11-1-1-111-1-1-1-111-1-1-1111111-1-1-1-1-1-1-1-1-11111-1-1-11111-1-111-1-111-1-111-1-1
χ13111111-1-111111111-1-1-1-11-11111-1-1-1-1-1-1111-1-111-1-1-1-11-111-1-1-1-1-1-1-111111-1-1-1-111-1-11111111-1-1-11-11111-1-1-1-111-1-111-1-1-1-111
χ14111111-1-111111111-1-1-1-11-11111-1-1-1-1-1-1111-1-111-1-1-1-11-111-1-1-1-1-1-1-111-1-1111-1-1-1-1111111111-1-1-11-1-1-11111-1-1-1-111-1-11111-1-1
χ15111111-1-111111111-1-1-1-11-11111-1-1-1-1-1-1111-1-111-1-1-1-1-11-1-1-111-1-1-1-111111-1-1-1-1-1-1111111-1-1-1111-1111-1-1-1-111-1-11111-1-111-1-1
χ16111111-1-111111111-1-1-1-11-11111-1-1-1-1-1-1111-1-111-1-1-1-1-11-1-1-111-1-1-1-111-1-1111-1-111-1-11111-1-1-1111-11-1-1-1-1111111-1-1-1-111-1-111
χ1722222222-2-222222222222-2222-222-2-222-2-2-2-2-22222220000-20022-2-2-2-200-200-2-2000022-2-20000000000000000000000000000
χ1822222222-2-2222222-2-2-2-22-2222-222-2-222-2-2-222-2-2-2-2-2-20000-20022-2-2-2-200200220000-2-2220000000000000000000000000000
χ19222222-2-2-2-2222222222222222-2-2-222-2-2-2-2-2-2-2-2-222220000200-2-222-2-200200-2-20000-2-2220000000000000000000000000000
χ20222222-2-2-2-2222222-2-2-2-222222-2-2-222-2-2-2-2-22222-2-2-2-20000200-2-222-2-200-20022000022-2-20000000000000000000000000000
χ2122222-1222222-1-12-12222-12-1-1-12-1-1-1-122-1-122222-1-1-1-122-1-12-1-1-1-1-1-1-1-100200-1-10000-1-1-1-12-1-12-1-12200-1-100-1-1000000000000
χ2222222-1222222-1-12-12222-12-1-1-12-1-1-1-122-1-122222-1-1-1-1-2-211211-1-1-1-1-1-100200-1-10000-1-1-1-1-211-211-2-200110011000000000000
χ2322222-1222222-1-12-1-2-2-2-2-12-1-1-12-1-1-1-122-1-12-2-2-2-2111122-1-12-1-1-1-1-1-1-1-100-20011000011112-1-12-1-1-2-200110011000000000000
χ2422222-1222222-1-12-1-2-2-2-2-12-1-1-12-1-1-1-122-1-12-2-2-2-21111-2-211211-1-1-1-1-1-100-2001100001111-211-2112200-1-100-1-1000000000000
χ2522222-122-2-222-1-12-12222-1-2-1-1-1-2-1-1112211-2-2-222-1-1-1-100−i3i3-2−i3i3-1-1111100-200110000-1-1110−i3i30−i3i30000−i3i300−i3i3000000000000
χ2622222-122-2-222-1-12-12222-1-2-1-1-1-2-1-1112211-2-2-222-1-1-1-100i3−i3-2i3−i3-1-1111100-200110000-1-1110i3−i30i3−i30000i3−i300i3−i3000000000000
χ2722222-122-2-222-1-12-1-2-2-2-2-1-2-1-1-1-2-1-1112211-222-2-2111100−i3i3-2−i3i3-1-1111100200-1-1000011-1-10−i3i30−i3i30000i3−i300i3−i3000000000000
χ2822222-122-2-222-1-12-1-2-2-2-2-1-2-1-1-1-2-1-1112211-222-2-2111100i3−i3-2i3−i3-1-1111100200-1-1000011-1-10i3−i30i3−i30000−i3i300−i3i3000000000000
χ2922222-1-2-22222-1-12-12222-1-2-1-1-121111-2-2-1-1222-2-2-1-1-1-12-2-1-1-2111111-1-100-200-1-1000011112-1-1-211-22001100-1-1000000000000
χ3022222-1-2-22222-1-12-12222-1-2-1-1-121111-2-2-1-1222-2-2-1-1-1-1-2211-2-1-11111-1-100-200-1-100001111-2112-1-12-200-1-10011000000000000
χ3122222-1-2-22222-1-12-1-2-2-2-2-1-2-1-1-121111-2-2-1-12-2-22211112-2-1-1-2111111-1-100200110000-1-1-1-12-1-1-2112-200-1-10011000000000000
χ3222222-1-2-22222-1-12-1-2-2-2-2-1-2-1-1-121111-2-2-1-12-2-2221111-2211-2-1-11111-1-100200110000-1-1-1-1-2112-1-1-22001100-1-1000000000000
χ3322222-1-2-2-2-222-1-12-12222-12-1-1-1-211-1-1-2-211-2-2-2-2-2-1-1-1-100−i3i32i3−i311-1-1110020011000011-1-10−i3i30i3−i30000i3−i300−i3i3000000000000
χ3422222-1-2-2-2-222-1-12-12222-12-1-1-1-211-1-1-2-211-2-2-2-2-2-1-1-1-100i3−i32−i3i311-1-1110020011000011-1-10i3−i30−i3i30000−i3i300i3−i3000000000000
χ3522222-1-2-2-2-222-1-12-1-2-2-2-2-12-1-1-1-211-1-1-2-211-22222111100−i3i32i3−i311-1-11100-200-1-10000-1-1110−i3i30i3−i30000−i3i300i3−i3000000000000
χ3622222-1-2-2-2-222-1-12-1-2-2-2-2-12-1-1-1-211-1-1-2-211-22222111100i3−i32−i3i311-1-11100-200-1-10000-1-1110i3−i30−i3i30000i3−i300−i3i3000000000000
χ372222-122222-1-122-120000-12-1-1-1-12222-1-122-1000000002222-122-1-1-1-1-1-1220220022220000-1-1-1-1-1-100-1-100-1-100-1-1-1-100000000
χ382222-122222-1-122-120000-12-1-1-1-12222-1-122-1000000002222-122-1-1-1-1-1-1-2-20-2-200-2-2-2-20000-1-1-1-1-1-10011001100111100000000
χ392222-122222-1-122-120000-12-1-1-1-12222-1-122-100000000-2-2-2-2-1-2-2-1-1-1-1-1-12202200-2-2-2-2000011111100-1-100-1-100111100000000
χ402222-122222-1-122-120000-12-1-1-1-12222-1-122-100000000-2-2-2-2-1-2-2-1-1-1-1-1-1-2-20-2-200222200001111110011001100-1-1-1-100000000
χ412222-12-2-222-1-122-120000-1-2-1-1-1-1-2-2-2-21122-1000000002-2221-2-21111-1-1220-2-20022-2-20000-1-1-111100-1-1001100-1-11100000000
χ422222-12-2-222-1-122-120000-1-2-1-1-1-1-2-2-2-21122-1000000002-2221-2-21111-1-1-2-202200-2-2220000-1-1-1111001100-1-10011-1-100000000
χ432222-12-2-222-1-122-120000-1-2-1-1-1-1-2-2-2-21122-100000000-22-2-21221111-1-1220-2-200-2-2220000111-1-1-100-1-100110011-1-100000000
χ442222-12-2-222-1-122-120000-1-2-1-1-1-1-2-2-2-21122-100000000-22-2-21221111-1-1-2-20220022-2-20000111-1-1-1001100-1-100-1-11100000000
χ452-22-2222i−2i002-22-2-2-22i2i−2i−2i202-2-202i−2i002i−2i000002-22i2i−2i−2i00000002i−2i000000000002−2−i2i22-20000000000000000002−2−i2i20000−i2i22−2
χ462-22-2222i−2i002-22-2-2-22i2i−2i−2i202-2-202i−2i002i−2i000002-22i2i−2i−2i00000002i−2i00000000000−22i2−i22-2000000000000000000−22i2−i20000i2−i2−22
χ472-22-2222i−2i002-22-2-2-2−2i−2i2i2i202-2-202i−2i002i−2i00000-22−2i−2i2i2i00000002i−2i000000000002−2−i2i2-220000000000000000002−2−i2i20000i2−i2−22
χ482-22-2222i−2i002-22-2-2-2−2i−2i2i2i202-2-202i−2i002i−2i00000-22−2i−2i2i2i00000002i−2i00000000000−22i2−i2-22000000000000000000−22i2−i20000−i2i22−2
χ492-22-222−2i2i002-22-2-2-22i2i−2i−2i202-2-20−2i2i00−2i2i00000-222i2i−2i−2i0000000−2i2i000000000002−2i2−i2-220000000000000000002−2i2−i20000−i2i2−22
χ502-22-222−2i2i002-22-2-2-22i2i−2i−2i202-2-20−2i2i00−2i2i00000-222i2i−2i−2i0000000−2i2i00000000000−22−i2i2-22000000000000000000−22−i2i20000i2−i22−2
χ512-22-222−2i2i002-22-2-2-2−2i−2i2i2i202-2-20−2i2i00−2i2i000002-2−2i−2i2i2i0000000−2i2i000000000002−2i2−i22-20000000000000000002−2i2−i20000i2−i22−2
χ522-22-222−2i2i002-22-2-2-2−2i−2i2i2i202-2-20−2i2i00−2i2i000002-2−2i−2i2i2i0000000−2i2i00000000000−22−i2i22-2000000000000000000−22−i2i20000−i2i2−22
χ532-2-2222002-2-22-2-2-222-22-220-2-2220000002-2-22-2002-22-2000000000002-20002i−2i2-2000000000000000000002i−2i0000002i−2i000000
χ542-2-2222002-2-22-2-2-222-22-220-2-2220000002-2-22-2002-22-2000000000002-2000−2i2i2-200000000000000000000−2i2i000000−2i2i000000
χ552-2-2222002-2-22-2-2-22-22-2220-2-2220000002-2-2-2200-22-22000000000002-20002i−2i-22000000000000000000002i−2i000000−2i2i000000
χ562-2-2222002-2-22-2-2-22-22-2220-2-2220000002-2-2-2200-22-22000000000002-2000−2i2i-2200000000000000000000−2i2i0000002i−2i000000
χ572-2-222200-22-22-2-2-222-22-220-2-22-2000000-222-22002-22-200000000000-222-2000-2200000000000000002-20000000000002-20000
χ582-2-222200-22-22-2-2-222-22-220-2-22-2000000-222-22002-22-200000000000-22-22000-220000000000000000-22000000000000-220000
χ592-2-222200-22-22-2-2-22-22-2220-2-22-2000000-2222-200-22-2200000000000-222-20002-200000000000000002-2000000000000-220000
χ602-2-222200-22-22-2-2-22-22-2220-2-22-2000000-2222-200-22-2200000000000-22-220002-20000000000000000-220000000000002-20000
χ614444-2444-4-4-2-244-240000-2-4-2-2-2244-4-4-2-2-4-42000000000000200-2-222220000000000000000000000000000000000000000000
χ624444-24-4-4-4-4-2-244-240000-24-2-2-22-4-44422-4-42000000000000-20022-2-2220000000000000000000000000000000000000000000
χ634444-2-24444-2-2-2-2-2-2000014111-2-2-2-2-2-2-2-2-2-20000000044-2-2-2-2-2111111000000000000000-211-2110000000000000000000000
χ644444-2-24444-2-2-2-2-2-2000014111-2-2-2-2-2-2-2-2-2-200000000-4-422-2221111110000000000000002-1-12-1-10000000000000000000000
χ654444-2-244-4-4-2-2-2-2-2-200001-41112-2-222-2-22220000000000−2i32i32−2i32i311-1-1-1-10000000000000000i3−i30i3−i30000000000000000000000
χ664444-2-244-4-4-2-2-2-2-2-200001-41112-2-222-2-222200000000002i3−2i322i3−2i311-1-1-1-10000000000000000−i3i30−i3i30000000000000000000000
χ674444-2-2-4-444-2-2-2-2-2-200001-4111-2222222-2-2-2000000004-4-2-2222-1-1-1-111000000000000000-2112-1-10000000000000000000000
χ684444-2-2-4-444-2-2-2-2-2-200001-4111-2222222-2-2-200000000-44222-2-2-1-1-1-1110000000000000002-1-1-2110000000000000000000000
χ694444-2-2-4-4-4-4-2-2-2-2-2-2000014111222-2-2222220000000000−2i32i3-22i3−2i3-1-111-1-10000000000000000i3−i30−i3i30000000000000000000000
χ704444-2-2-4-4-4-4-2-2-2-2-2-2000014111222-2-22222200000000002i3−2i3-2−2i32i3-1-111-1-10000000000000000−i3i30i3−i30000000000000000000000
χ7144-4-4440000-4-4-444-44i−4i−4i4i40-44-4000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ7244-4-4440000-4-4-444-4−4i4i4i−4i40-44-400000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ7344-4-44-20000-4-42-2424i−4i−4i4i-202-2200023−23000000000−2i2i2i−2i00000000023−23000000000000000−2i32i30000000000000000000000000000
χ7444-4-44-20000-4-42-2424i−4i−4i4i-202-22000−2323000000000−2i2i2i−2i000000000−23230000000000000002i3−2i30000000000000000000000000000
χ7544-4-44-20000-4-42-242−4i4i4i−4i-202-2200023−230000000002i−2i−2i2i00000000023−230000000000000002i3−2i30000000000000000000000000000
χ7644-4-44-20000-4-42-242−4i4i4i−4i-202-22000−23230000000002i−2i−2i2i000000000−2323000000000000000−2i32i30000000000000000000000000000
χ774-44-44-24i−4i004-4-22-424i4i−4i−4i-20-2220−2i2i004i−4i000004-4−2i−2i2i2i0000000−2i2i000000000000000-22000000000000000000000000000000
χ784-44-44-24i−4i004-4-22-42−4i−4i4i4i-20-2220−2i2i004i−4i00000-442i2i−2i−2i0000000−2i2i0000000000000002-2000000000000000000000000000000
χ794-44-44-2−4i4i004-4-22-424i4i−4i−4i-20-22202i−2i00−4i4i00000-44−2i−2i2i2i00000002i−2i0000000000000002-2000000000000000000000000000000
χ804-44-44-2−4i4i004-4-22-42−4i−4i4i4i-20-22202i−2i00−4i4i000004-42i2i−2i−2i00000002i−2i000000000000000-22000000000000000000000000000000
χ814-44-4-244i−4i00-224-42-40000-20-22204i−4i00−2i2i000000000000000000−2i2i0000000000022−22−2i22i200000000000000000000−22i2−i200000000
χ824-44-4-244i−4i00-224-42-40000-20-22204i−4i00−2i2i000000000000000000−2i2i00000000000−22222i2−2i2000000000000000000002−2−i2i200000000
χ834-44-4-24−4i4i00-224-42-40000-20-2220−4i4i002i−2i0000000000000000002i−2i0000000000022−222i2−2i200000000000000000000−22−i2i200000000
χ844-44-4-24−4i4i00-224-42-40000-20-2220−4i4i002i−2i0000000000000000002i−2i00000000000−2222−2i22i2000000000000000000002−2i2−i200000000
χ854-4-444-2004-4-4422-4-24-44-4-2022-24000000-22-44-400-22-2200000000000-2200000-22000000000000000000000000000000000000
χ864-4-444-2004-4-4422-4-2-44-44-2022-24000000-22-4-44002-22-200000000000-22000002-2000000000000000000000000000000000000
χ874-4-444-200-44-4422-4-24-44-4-2022-2-40000002-24-4400-22-22000000000002-2000002-2000000000000000000000000000000000000
χ884-4-444-200-44-4422-4-2-44-44-2022-2-40000002-244-4002-22-2000000000002-200000-22000000000000000000000000000000000000
χ894-4-44-24004-42-2-4-4240000-2022-2-20000004-420000000000000000000-220004i−4i0000000000000000000000−2i2i00000000000000
χ904-4-44-24004-42-2-4-4240000-2022-2-20000004-420000000000000000000-22000−4i4i00000000000000000000002i−2i00000000000000
χ914-4-44-2400-442-2-4-4240000-2022-22000000-44-200000000000000000002-24-4000000000000000000000-22000000000000000000
χ924-4-44-2400-442-2-4-4240000-2022-22000000-44-200000000000000000002-2-440000000000000000000002-2000000000000000000
χ9388-8-8-48000044-88-4-80000-404-4400000000000000000000000000000000000000000000000000000000000000000000000000
χ9488-8-8-4-40000444-4-44000020-22-200043−430000000000000000000000−2323000000000000000000000000000000000000000000000
χ9588-8-8-4-40000444-4-44000020-22-2000−4343000000000000000000000023−23000000000000000000000000000000000000000000000
χ968-88-8-4-48i−8i00-44-44440000202-2-20−4i4i00−4i4i0000000000000000002i−2i00000000000000000000000000000000000000000000000
χ978-88-8-4-4−8i8i00-44-44440000202-2-204i−4i004i−4i000000000000000000−2i2i00000000000000000000000000000000000000000000000
χ988-8-88-4-4008-84-4444-4000020-2-22-4000000-44400000000000000000002-20000000000000000000000000000000000000000000
χ998-8-88-4-400-884-4444-4000020-2-2240000004-4-40000000000000000000-220000000000000000000000000000000000000000000

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