Finite Group Databasebeta

← Group #11776192

Character table — Group #11776192

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222222222333344444444444444466666666888888888888812121212121212121212121212121216161616161624242424242424242424242424243636363636363636
order12223344446666664444346661212121212121212121222441212121244121212121212121212121246688888888121212121212121212124412121212242424242424242488888888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-11111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ31111111111111111111111111111111111111111111-1-11-1-1-1-11111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111-1-1-1-1
χ41111111111111111111111111111111111111111111-1-11-1-1-1-1111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111
χ51111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-11111111111111-1-1-111111111-1-1-1-1111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
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
χ71111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1-1-11111
χ81111111111111111-1-1-1-1111111111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-1111111-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1111111-1-1-1-111111111-1-1-1-1
χ9111111-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1111-1-1-1-1-1-1111-1-1ii−i−iii−i−i-1-1111-111-1-11-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ10111111-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-111111-1111-1-1-1-1-1-1111-1-1−i−iii−i−iii-1-1111-111-1-11-111-1-1−i−iii−i−iii−i−iii−i−iii
χ11111111-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-1111-1-1ii−i−i−i−iii-1-111-11-1-111-11-1-111ii−i−i−i−iiiii−i−i−i−iii
χ12111111-1-1-1-1111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1-111-1-1-1-1111-1-1−i−iiiii−i−i-1-111-11-1-111-11-1-111−i−iiiii−i−i−i−iiiii−i−i
χ13111111-1-1-1-1111111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-11-1111-1-1-1-1-1-111-111ii−i−iii−i−i11-1-11-111-1-1-11-1-111ii−i−iii−i−i−i−iii−i−iii
χ14111111-1-1-1-1111111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-11-1111-1-1-1-1-1-111-111−i−iii−i−iii11-1-11-111-1-1-11-1-111−i−iii−i−iiiii−i−iii−i−i
χ15111111-1-1-1-1111111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-111-111ii−i−i−i−iii11-1-1-11-1-1111-111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111111-1-1-1-1111111-1-1-1-111111-1-1-1-111-1-1-1-11111-1-1-1-1-111-1-111-1-1-1-111-111−i−iiiii−i−i11-1-1-11-1-1111-111-1-1−i−iiiii−i−iii−i−i−i−iii
χ172222222-2-2222222222222-22222-222-2-2-2-22-222-2-2222200-2000022-2-2-2-2-22200000000-2-2-2-20000000000000000000000000000
χ182222222-2-22222222-2-2-2-22-22222-222-2-2-2-22-2-2-222-2-2-2-200-2000022-2-2-2-22-2-20000000022220000000000000000000000000000
χ19222222-222-222222222222-2222-22-2-2-2-222-22-2-222222200-20000-2-222-2-2-2-2-20000000022-2-20000000000000000000000000000
χ20222222-222-2222222-2-2-2-22-2222-22-2-2-2-222-2222-2-2-2-2-2-200-20000-2-222-2-222200000000-2-2220000000000000000000000000000
χ2122222-1222222-12-1-12222-12-1-1-122-1-1-1-1-1-1222222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-100000000-1-1-1-122-1-1-1-122-1-1-1-10000000000000000
χ2222222-1222222-12-1-12222-12-1-1-122-1-1-1-1-1-1222222-1-1-1-1-2-221111-1-1-1-1-1-12-1-100000000-1-1-1-1-2-21111-2-211110000000000000000
χ2322222-1222222-12-1-1-2-2-2-2-12-1-1-122-1-1-1-1-1-122-2-2-2-21111222-1-1-1-1-1-1-1-1-1-1-21100000000111122-1-1-1-1-2-211110000000000000000
χ2422222-1222222-12-1-1-2-2-2-2-12-1-1-122-1-1-1-1-1-122-2-2-2-21111-2-221111-1-1-1-1-1-1-211000000001111-2-2111122-1-1-1-10000000000000000
χ2522222-12-2-2222-12-1-12222-1-2-1-1-12-2-1-111112-222-2-2-1-1-1-100-2−i3i3−i3i3-1-11111-2-1-100000000111100−i3i3−i3i300−i3i3−i3i30000000000000000
χ2622222-12-2-2222-12-1-12222-1-2-1-1-12-2-1-111112-222-2-2-1-1-1-100-2i3−i3i3−i3-1-11111-2-1-100000000111100i3−i3i3−i300i3−i3i3−i30000000000000000
χ2722222-12-2-2222-12-1-1-2-2-2-2-1-2-1-1-12-2-1-111112-2-2-222111100-2−i3i3−i3i3-1-1111121100000000-1-1-1-100−i3i3−i3i300i3−i3i3−i30000000000000000
χ2822222-12-2-2222-12-1-1-2-2-2-2-1-2-1-1-12-2-1-111112-2-2-222111100-2i3−i3i3−i3-1-1111121100000000-1-1-1-100i3−i3i3−i300−i3i3−i3i30000000000000000
χ2922222-1-222-222-12-1-12222-1-2-1-1-1-221111-1-1-22-2-222-1-1-1-100-2−i3i3i3−i311-1-111-21100000000-1-11100−i3i3i3−i300−i3i3i3−i30000000000000000
χ3022222-1-222-222-12-1-12222-1-2-1-1-1-221111-1-1-22-2-222-1-1-1-100-2i3−i3−i3i311-1-111-21100000000-1-11100i3−i3−i3i300i3−i3−i3i30000000000000000
χ3122222-1-222-222-12-1-1-2-2-2-2-1-2-1-1-1-221111-1-1-2222-2-2111100-2−i3i3i3−i311-1-1112-1-10000000011-1-100−i3i3i3−i300i3−i3−i3i30000000000000000
χ3222222-1-222-222-12-1-1-2-2-2-2-1-2-1-1-1-221111-1-1-2222-2-2111100-2i3−i3−i3i311-1-1112-1-10000000011-1-100i3−i3−i3i300−i3i3i3−i30000000000000000
χ3322222-1-2-2-2-222-12-1-12222-12-1-1-1-2-211-1-111-2-2-2-2-2-2-1-1-1-12-22-1-1111111-1-12110000000011-1-12-2-1-1112-2-1-1110000000000000000
χ3422222-1-2-2-2-222-12-1-12222-12-1-1-1-2-211-1-111-2-2-2-2-2-2-1-1-1-1-22211-1-11111-1-12110000000011-1-1-2211-1-1-2211-1-10000000000000000
χ3522222-1-2-2-2-222-12-1-1-2-2-2-2-12-1-1-1-2-211-1-111-2-2222211112-22-1-1111111-1-1-2-1-100000000-1-1112-2-1-111-2211-1-10000000000000000
χ3622222-1-2-2-2-222-12-1-1-2-2-2-2-12-1-1-1-2-211-1-111-2-222221111-22211-1-11111-1-1-2-1-100000000-1-111-2211-1-12-2-1-1110000000000000000
χ372222-122222-1-12-1220000-12-1-1-1-1-1222222-1-10000000022-12222-1-1-1-1-1-1000222222220000-1-1-1-1-1-1000000-1-1-1-1-1-1-1-100000000
χ382222-122222-1-12-1220000-12-1-1-1-1-1222222-1-10000000022-12222-1-1-1-1-1-1000-2-2-2-2-2-2-2-20000-1-1-1-1-1-10000001111111100000000
χ392222-122222-1-12-1220000-12-1-1-1-1-1222222-1-100000000-2-2-1-2-2-2-2-1-1-1-1-1-10002222-2-2-2-20000111111000000-1-1-1-1111100000000
χ402222-122222-1-12-1220000-12-1-1-1-1-1222222-1-100000000-2-2-1-2-2-2-2-1-1-1-1-1-1000-2-2-2-2222200001111110000001111-1-1-1-100000000
χ412222-12-2-2-2-2-1-12-1220000-12-1-1-111-2-222-2-211000000002-2-122-2-21111-1-10002i2i−2i−2i2i2i−2i−2i0000-11-1-111000000−i−iii−i−iii00000000
χ422222-12-2-2-2-2-1-12-1220000-12-1-1-111-2-222-2-211000000002-2-122-2-21111-1-1000−2i−2i2i2i−2i−2i2i2i0000-11-1-111000000ii−i−iii−i−i00000000
χ432222-12-2-2-2-2-1-12-1220000-12-1-1-111-2-222-2-21100000000-22-1-2-2221111-1-10002i2i−2i−2i−2i−2i2i2i00001-111-1-1000000−i−iiiii−i−i00000000
χ442222-12-2-2-2-2-1-12-1220000-12-1-1-111-2-222-2-21100000000-22-1-2-2221111-1-1000−2i−2i2i2i2i2i−2i−2i00001-111-1-1000000ii−i−i−i−iii00000000
χ4522-2-222200-22-22-2-2-222-2-2202-2-2202-20000-202-20022-2-200000002-2000002-22−22−2000000000000000000002−22−200002−22−20000
χ4622-2-222200-22-22-2-2-222-2-2202-2-2202-20000-202-20022-2-200000002-2000002-2−22−2200000000000000000000−22−220000−22−220000
χ4722-2-222200-22-22-2-2-2-2-222202-2-2202-20000-20-2200-2-22200000002-200000-222−22−2000000000000000000002−22−20000−22−220000
χ4822-2-222200-22-22-2-2-2-2-222202-2-2202-20000-20-2200-2-22200000002-200000-22−22−2200000000000000000000−22−2200002−22−20000
χ4922-2-222-20022-22-2-2-222-2-2202-2-2-20-22000020-220022-2-20000000-2200000-22−i2i2i2−i200000000000000000000−i2i2i2−i20000−i2i2i2−i20000
χ5022-2-222-20022-22-2-2-222-2-2202-2-2-20-22000020-220022-2-20000000-2200000-22i2−i2−i2i200000000000000000000i2−i2−i2i20000i2−i2−i2i20000
χ5122-2-222-20022-22-2-2-2-2-222202-2-2-20-220000202-200-2-2220000000-22000002-2−i2i2i2−i200000000000000000000−i2i2i2−i20000i2−i2−i2i20000
χ5222-2-222-20022-22-2-2-2-2-222202-2-2-20-220000202-200-2-2220000000-22000002-2i2−i2−i2i200000000000000000000i2−i2−i2i20000−i2i2i2−i20000
χ532-2-222202-20-22-2-2-222i−2i2i−2i20-22-20-200002-202002i−2i2i−2i2i−2i0000000002-2000000000−i2i2−i2i22i−2i000000000000000000−i2i2−i2i200002−22−2
χ542-2-222202-20-22-2-2-222i−2i2i−2i20-22-20-200002-202002i−2i2i−2i2i−2i0000000002-2000000000i2−i2i2−i22i−2i000000000000000000i2−i2i2−i20000−22−22
χ552-2-222202-20-22-2-2-22−2i2i−2i2i20-22-20-200002-20200−2i2i−2i2i−2i2i0000000002-2000000000−i2i2−i2i2−2i2i000000000000000000−i2i2−i2i20000−22−22
χ562-2-222202-20-22-2-2-22−2i2i−2i2i20-22-20-200002-20200−2i2i−2i2i−2i2i0000000002-2000000000i2−i2i2−i2−2i2i000000000000000000i2−i2i2−i200002−22−2
χ572-2-22220-220-22-2-2-222i−2i2i−2i20-22-2020000-220-200−2i2i2i−2i2i−2i000000000-220000000002−2−22−2i2i0000000000000000002−2−220000i2−i2−i2i2
χ582-2-22220-220-22-2-2-222i−2i2i−2i20-22-2020000-220-200−2i2i2i−2i2i−2i000000000-22000000000−222−2−2i2i000000000000000000−222−20000−i2i2i2−i2
χ592-2-22220-220-22-2-2-22−2i2i−2i2i20-22-2020000-220-2002i−2i−2i2i−2i2i000000000-220000000002−2−222i−2i0000000000000000002−2−220000−i2i2i2−i2
χ602-2-22220-220-22-2-2-22−2i2i−2i2i20-22-2020000-220-2002i−2i−2i2i−2i2i000000000-22000000000−222−22i−2i000000000000000000−222−20000i2−i2−i2i2
χ614444-244-4-44-2-24-2440000-2-4-2-2-2-2244-4-4-4-4-22000000000020000-2-222220000000000000000000000000000000000000000000
χ624444-24-444-4-2-24-2440000-2-4-2-2-22-2-4-4-4-4442-200000000002000022-2-2220000000000000000000000000000000000000000000
χ634444-2-24444-2-2-2-2-2-2000014111-2-2-2-2-2-2-2-2-2-20000000044-2-2-2-2-2111111000000000000000-2-211110000000000000000000000
χ644444-2-24444-2-2-2-2-2-2000014111-2-2-2-2-2-2-2-2-2-200000000-4-4-2222211111100000000000000022-1-1-1-10000000000000000000000
χ654444-2-24-4-44-2-2-2-2-2-200001-4111-22-2-22222-2200000000002−2i32i3−2i32i311-1-1-1-100000000000000000i3−i3i3−i30000000000000000000000
χ664444-2-24-4-44-2-2-2-2-2-200001-4111-22-2-22222-22000000000022i3−2i32i3−2i311-1-1-1-100000000000000000−i3i3−i3i30000000000000000000000
χ674444-2-2-444-4-2-2-2-2-2-200001-41112-22222-2-22-200000000002−2i32i32i3−2i3-1-111-1-100000000000000000i3−i3−i3i30000000000000000000000
χ684444-2-2-444-4-2-2-2-2-2-200001-41112-22222-2-22-2000000000022i3−2i3−2i32i3-1-111-1-100000000000000000−i3i3i3−i30000000000000000000000
χ694444-2-2-4-4-4-4-2-2-2-2-2-20000141112222-2-22222000000004-4-2-2-222-1-1-1-111000000000000000-2211-1-10000000000000000000000
χ704444-2-2-4-4-4-4-2-2-2-2-2-20000141112222-2-2222200000000-44-222-2-2-1-1-1-1110000000000000002-2-1-1110000000000000000000000
χ7144-4-44-2400-44-4-2-42244-4-4-20-22240-220000-404-400-2-2220000000-2200000-220000000000000000000000000000000000000000
χ7244-4-44-2400-44-4-2-422-4-444-20-22240-220000-40-440022-2-20000000-22000002-20000000000000000000000000000000000000000
χ7344-4-44-2-40044-4-2-42244-4-4-20-222-402-2000040-4400-2-22200000002-2000002-20000000000000000000000000000000000000000
χ7444-4-44-2-40044-4-2-422-4-444-20-222-402-20000404-40022-2-200000002-200000-220000000000000000000000000000000000000000
χ7544-4-4-24400-4-2242-4-40000-20-222-204-4000020000000000000000-22000000022−2222−2200000000000000000000−22−22000000000000
χ7644-4-4-24400-4-2242-4-40000-20-222-204-4000020000000000000000-220000000−2222−2222000000000000000000002−22−2000000000000
χ7744-4-4-24-4004-2242-4-40000-20-22220-440000-200000000000000002-20000000−2i22i22i2−2i200000000000000000000i2−i2−i2i2000000000000
χ7844-4-4-24-4004-2242-4-40000-20-22220-440000-200000000000000002-200000002i2−2i2−2i22i200000000000000000000−i2i2i2−i2000000000000
χ794-44-4440000-4-4-444-44i−4i−4i4i40-4-44000000000000004i−4i−4i4i00000000000000000000000000000000000000000000000000000000
χ804-44-4440000-4-4-444-4−4i4i4i−4i40-4-4400000000000000−4i4i4i−4i00000000000000000000000000000000000000000000000000000000
χ814-44-44-20000-4-424-224i−4i−4i4i-2022-20000−2i32i300000000−2i2i2i−2i00000000000−2i32i3000000000000023−230000000000000000000000000000
χ824-44-44-20000-4-424-224i−4i−4i4i-2022-200002i3−2i300000000−2i2i2i−2i000000000002i3−2i30000000000000−23230000000000000000000000000000
χ834-44-44-20000-4-424-22−4i4i4i−4i-2022-20000−2i32i3000000002i−2i−2i2i00000000000−2i32i30000000000000−23230000000000000000000000000000
χ844-44-44-20000-4-424-22−4i4i4i−4i-2022-200002i3−2i3000000002i−2i−2i2i000000000002i3−2i3000000000000023−230000000000000000000000000000
χ854-4-444-204-40-442-42-24i−4i4i−4i-202-220-40000-2204004i−4i−2i2i−2i2i000000000-220000000000000−2i2i000000000000000000000000000000
χ864-4-444-204-40-442-42-2−4i4i−4i4i-202-220-40000-220400−4i4i2i−2i2i−2i000000000-2200000000000002i−2i000000000000000000000000000000
χ874-4-444-20-440-442-42-24i−4i4i−4i-202-220400002-20-400−4i4i−2i2i−2i2i0000000002-200000000000002i−2i000000000000000000000000000000
χ884-4-444-20-440-442-42-2−4i4i−4i4i-202-220400002-20-4004i−4i2i−2i2i−2i0000000002-20000000000000−2i2i000000000000000000000000000000
χ894-4-44-2404-402-2-42-440000-202-220200004-40-200000000000000000-22000000000−2i22i2−2i22i200000000000000000000i2−i2i2−i200000000
χ904-4-44-2404-402-2-42-440000-202-220200004-40-200000000000000000-220000000002i2−2i22i2−2i200000000000000000000−i2i2−i2i200000000
χ914-4-44-240-4402-2-42-440000-202-220-20000-4402000000000000000002-200000000022−22−222200000000000000000000−222−200000000
χ924-4-44-240-4402-2-42-440000-202-220-20000-4402000000000000000002-2000000000−222222−22000000000000000000002−2−2200000000
χ9388-8-8-4-4800-8-44-44440000202-2-2-40-440000400000000000000002-200000000000000000000000000000000000000000000000
χ9488-8-8-4-4-8008-44-44440000202-2-2404-40000-40000000000000000-2200000000000000000000000000000000000000000000000
χ958-88-8-48000044-8-48-80000-4044-400000000000000000000000000000000000000000000000000000000000000000000000000
χ968-88-8-4-40000444-4-44000020-2-220000−4i34i3000000000000000000000002i3−2i30000000000000000000000000000000000000000000
χ978-88-8-4-40000444-4-44000020-2-2200004i3−4i300000000000000000000000−2i32i30000000000000000000000000000000000000000000
χ988-8-88-4-408-804-4444-4000020-22-2040000-440-4000000000000000002-2000000000000000000000000000000000000000000000
χ998-8-88-4-40-8804-4444-4000020-22-20-400004-40400000000000000000-22000000000000000000000000000000000000000000000

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