Finite Group Databasebeta

← Group #11776228

Character table — Group #11776228

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99
size1111222222222222333344444444444444466666666888888888888812121212121212121212121212121216161616161624242424242424242424242424243636363636363636
order1222334444666666444434666121212121212121212124444121212124412121212121212121212122668888888812121212121212121212226666242424242424242488888888
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
χ9111111-1-1-1-1111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111-1111-1-1-1-1-1-111111ii−i−iii−i−i-1-1-1-11-111-1-11-111-1-1ii−i−iii−i−iii−i−iii−i−i
χ10111111-1-1-1-1111111111111111-1-1-1-1-1-111-1-1-1-1-1-111111-1111-1-1-1-1-1-111111−i−iii−i−iii-1-1-1-11-111-1-11-111-1-1−i−iii−i−iii−i−iii−i−iii
χ11111111-1-1-1-1111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-111-1-111-1-1-1-111111ii−i−i−i−iii-1-1-1-1-11-1-111-11-1-111ii−i−i−i−iiiii−i−i−i−iii
χ12111111-1-1-1-1111111111111111-1-1-1-1-1-111-1-1-1-1-1-11111-111-1-111-1-1-1-111111−i−iiiii−i−i-1-1-1-1-11-1-111-11-1-111−i−iiiii−i−i−i−iiiii−i−i
χ13111111-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-111-1-11111-1-1-1-11-1111-1-1-1-1-1-111-1-1-1ii−i−iii−i−i11111-111-1-1-11-1-111ii−i−iii−i−i−i−iii−i−iii
χ14111111-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-111-1-11111-1-1-1-11-1111-1-1-1-1-1-111-1-1-1−i−iii−i−iii11111-111-1-1-11-1-111−i−iii−i−iiiii−i−iii−i−i
χ15111111-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-111-1-1-1-111-1-1-1ii−i−i−i−iii1111-11-1-1111-111-1-1ii−i−i−i−iii−i−iiiii−i−i
χ16111111-1-1-1-1111111-1-1-1-111111-1-1-1-1-1-111-1-11111-1-1-1-1-111-1-111-1-1-1-111-1-1-1−i−iiiii−i−i1111-11-1-1111-111-1-1−i−iiiii−i−iii−i−i−i−iii
χ172222222-22-222222222222-22222-222-2-2-2-22-222-2-2222200-2000022-2-2-2-2-2-2-20000000022-2-20000000000000000000000000000
χ182222222-22-2222222-2-2-2-22-22222-222-2-2-2-22-2-2-222-2-2-2-200-2000022-2-2-2-222200000000-2-2220000000000000000000000000000
χ19222222-22-2222222222222-2222-22-2-222-2-2-22-2-222222200-20000-2-222-2-2-2-2-200000000-2-2220000000000000000000000000000
χ20222222-22-22222222-2-2-2-22-2222-22-2-222-2-2-2222-2-2-2-2-2-200-20000-2-222-2-22220000000022-2-20000000000000000000000000000
χ2122222-1222222-1-12-12222-12-1-1-122-1-1-1-1-1-1222222-1-1-1-1222-1-1-1-1-1-1-1-1-1-12-1-100000000-1-1-1-122-1-1-1-122-1-1-1-10000000000000000
χ2222222-1222222-1-12-12222-12-1-1-122-1-1-1-1-1-1222222-1-1-1-1-2-221111-1-1-1-1-1-12-1-100000000-1-1-1-1-2-21111-2-211110000000000000000
χ2322222-1222222-1-12-1-2-2-2-2-12-1-1-122-1-1-1-1-1-122-2-2-2-21111222-1-1-1-1-1-1-1-1-1-1-21100000000111122-1-1-1-1-2-211110000000000000000
χ2422222-1222222-1-12-1-2-2-2-2-12-1-1-122-1-1-1-1-1-122-2-2-2-21111-2-221111-1-1-1-1-1-1-211000000001111-2-2111122-1-1-1-10000000000000000
χ2522222-12-22-222-1-12-12222-1-2-1-1-12-2-1-111112-222-2-2-1-1-1-100-2−i3i3−i3i3-1-11111-21100000000-1-11100−i3i3−i3i300−i3i3−i3i30000000000000000
χ2622222-12-22-222-1-12-12222-1-2-1-1-12-2-1-111112-222-2-2-1-1-1-100-2i3−i3i3−i3-1-11111-21100000000-1-11100i3−i3i3−i300i3−i3i3−i30000000000000000
χ2722222-12-22-222-1-12-1-2-2-2-2-1-2-1-1-12-2-1-111112-2-2-222111100-2−i3i3−i3i3-1-111112-1-10000000011-1-100−i3i3−i3i300i3−i3i3−i30000000000000000
χ2822222-12-22-222-1-12-1-2-2-2-2-1-2-1-1-12-2-1-111112-2-2-222111100-2i3−i3i3−i3-1-111112-1-10000000011-1-100i3−i3i3−i300−i3i3−i3i30000000000000000
χ2922222-1-22-2222-1-12-12222-1-2-1-1-1-2211-1-111-22-2-222-1-1-1-100-2−i3i3i3−i311-1-111-2110000000011-1-100−i3i3i3−i300−i3i3i3−i30000000000000000
χ3022222-1-22-2222-1-12-12222-1-2-1-1-1-2211-1-111-22-2-222-1-1-1-100-2i3−i3−i3i311-1-111-2110000000011-1-100i3−i3−i3i300i3−i3−i3i30000000000000000
χ3122222-1-22-2222-1-12-1-2-2-2-2-1-2-1-1-1-2211-1-111-2222-2-2111100-2−i3i3i3−i311-1-1112-1-100000000-1-11100−i3i3i3−i300i3−i3−i3i30000000000000000
χ3222222-1-22-2222-1-12-1-2-2-2-2-1-2-1-1-1-2211-1-111-2222-2-2111100-2i3−i3−i3i311-1-1112-1-100000000-1-11100i3−i3−i3i300−i3i3i3−i30000000000000000
χ3322222-1-2-2-2-222-1-12-12222-12-1-1-1-2-21111-1-1-2-2-2-2-2-2-1-1-1-12-22-1-1111111-1-12-1-10000000011112-2-1-1112-2-1-1110000000000000000
χ3422222-1-2-2-2-222-1-12-12222-12-1-1-1-2-21111-1-1-2-2-2-2-2-2-1-1-1-1-22211-1-11111-1-12-1-1000000001111-2211-1-1-2211-1-10000000000000000
χ3522222-1-2-2-2-222-1-12-1-2-2-2-2-12-1-1-1-2-21111-1-1-2-2222211112-22-1-1111111-1-1-21100000000-1-1-1-12-2-1-111-2211-1-10000000000000000
χ3622222-1-2-2-2-222-1-12-1-2-2-2-2-12-1-1-1-2-21111-1-1-2-222221111-22211-1-11111-1-1-21100000000-1-1-1-1-2211-1-12-2-1-1110000000000000000
χ372222-122222-1-122-120000-12-1-1-1-1-1222222-1-10000000022-12222-1-1-1-1-1-1000222222220000-1-1-1-1-1-1000000-1-1-1-1-1-1-1-100000000
χ382222-122222-1-122-120000-12-1-1-1-1-1222222-1-10000000022-12222-1-1-1-1-1-1000-2-2-2-2-2-2-2-20000-1-1-1-1-1-10000001111111100000000
χ392222-122222-1-122-120000-12-1-1-1-1-1222222-1-100000000-2-2-1-2-2-2-2-1-1-1-1-1-10002222-2-2-2-20000111111000000-1-1-1-1111100000000
χ402222-122222-1-122-120000-12-1-1-1-1-1222222-1-100000000-2-2-1-2-2-2-2-1-1-1-1-1-1000-2-2-2-2222200001111110000001111-1-1-1-100000000
χ412222-12-2-2-2-2-1-122-120000-12-1-1-111-2-2-2-22211000000002-2-122-2-21111-1-10002i2i−2i−2i2i2i−2i−2i0000-11-1-111000000−i−iii−i−iii00000000
χ422222-12-2-2-2-2-1-122-120000-12-1-1-111-2-2-2-22211000000002-2-122-2-21111-1-1000−2i−2i2i2i−2i−2i2i2i0000-11-1-111000000ii−i−iii−i−i00000000
χ432222-12-2-2-2-2-1-122-120000-12-1-1-111-2-2-2-2221100000000-22-1-2-2221111-1-10002i2i−2i−2i−2i−2i2i2i00001-111-1-1000000−i−iiiii−i−i00000000
χ442222-12-2-2-2-2-1-122-120000-12-1-1-111-2-2-2-2221100000000-22-1-2-2221111-1-1000−2i−2i2i2i2i2i−2i−2i00001-111-1-1000000ii−i−i−i−iii00000000
χ4522-2-222020-22-22-2-2-22i2i−2i−2i202-2-20-2002-20002002i−2i2i2i−2i−2i0000000002-200000−i2i2−i2i20000002i−2i000000000000−i2i2−i2i200002−22−20000
χ4622-2-222020-22-22-2-2-22i2i−2i−2i202-2-20-2002-20002002i−2i2i2i−2i−2i0000000002-200000i2−i2i2−i20000002i−2i000000000000i2−i2i2−i20000−22−220000
χ4722-2-222020-22-22-2-2-2−2i−2i2i2i202-2-20-2002-2000200−2i2i−2i−2i2i2i0000000002-200000−i2i2−i2i2000000−2i2i000000000000−i2i2−i2i20000−22−220000
χ4822-2-222020-22-22-2-2-2−2i−2i2i2i202-2-20-2002-2000200−2i2i−2i−2i2i2i0000000002-200000i2−i2i2−i2000000−2i2i000000000000i2−i2i2−i200002−22−20000
χ4922-2-2220-2022-22-2-2-22i2i−2i−2i202-2-20200-22000-200−2i2i2i2i−2i−2i000000000-22000002−2−22000000−2i2i0000000000002−2−220000i2−i2−i2i20000
χ5022-2-2220-2022-22-2-2-22i2i−2i−2i202-2-20200-22000-200−2i2i2i2i−2i−2i000000000-2200000−222−2000000−2i2i000000000000−222−20000−i2i2i2−i20000
χ5122-2-2220-2022-22-2-2-2−2i−2i2i2i202-2-20200-22000-2002i−2i−2i−2i2i2i000000000-22000002−2−220000002i−2i0000000000002−2−220000−i2i2i2−i20000
χ5222-2-2220-2022-22-2-2-2−2i−2i2i2i202-2-20200-22000-2002i−2i−2i−2i2i2i000000000-2200000−222−20000002i−2i000000000000−222−20000i2−i2−i2i20000
χ532-22-22220-20-22-22-2-22i−2i2i−2i20-22-2-202-20000202i−2i002i−2i2i−2i00000002-200000000000−i2i2−i2i22i−2i000000000000000000−i2i2−i2i200002−22−2
χ542-22-22220-20-22-22-2-22i−2i2i−2i20-22-2-202-20000202i−2i002i−2i2i−2i00000002-200000000000i2−i2i2−i22i−2i000000000000000000i2−i2i2−i20000−22−22
χ552-22-22220-20-22-22-2-2−2i2i−2i2i20-22-2-202-2000020−2i2i00−2i2i−2i2i00000002-200000000000−i2i2−i2i2−2i2i000000000000000000−i2i2−i2i20000−22−22
χ562-22-22220-20-22-22-2-2−2i2i−2i2i20-22-2-202-2000020−2i2i00−2i2i−2i2i00000002-200000000000i2−i2i2−i2−2i2i000000000000000000i2−i2i2−i200002−22−2
χ572-22-222-2020-22-22-2-22i−2i2i−2i20-22-220-220000-20−2i2i002i−2i2i−2i0000000-22000000000002−2−22−2i2i0000000000000000002−2−220000i2−i2−i2i2
χ582-22-222-2020-22-22-2-22i−2i2i−2i20-22-220-220000-20−2i2i002i−2i2i−2i0000000-2200000000000−222−2−2i2i000000000000000000−222−20000−i2i2i2−i2
χ592-22-222-2020-22-22-2-2−2i2i−2i2i20-22-220-220000-202i−2i00−2i2i−2i2i0000000-22000000000002−2−222i−2i0000000000000000002−2−220000−i2i2i2−i2
χ602-22-222-2020-22-22-2-2−2i2i−2i2i20-22-220-220000-202i−2i00−2i2i−2i2i0000000-2200000000000−222−22i−2i000000000000000000−222−20000i2−i2−i2i2
χ614444-244-44-4-2-244-240000-2-4-2-2-2-2244-4-4-4-4-22000000000020000-2-222220000000000000000000000000000000000000000000
χ624444-24-44-44-2-244-240000-2-4-2-2-22-2-4-444-4-42-200000000002000022-2-2220000000000000000000000000000000000000000000
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
χ654444-2-24-44-4-2-2-2-2-2-200001-4111-22-2-22222-2200000000002−2i32i3−2i32i311-1-1-1-100000000000000000i3−i3i3−i30000000000000000000000
χ664444-2-24-44-4-2-2-2-2-2-200001-4111-22-2-22222-22000000000022i3−2i32i3−2i311-1-1-1-100000000000000000−i3i3−i3i30000000000000000000000
χ674444-2-2-44-44-2-2-2-2-2-200001-41112-222-2-2222-200000000002−2i32i32i3−2i3-1-111-1-100000000000000000i3−i3−i3i30000000000000000000000
χ684444-2-2-44-44-2-2-2-2-2-200001-41112-222-2-2222-2000000000022i3−2i3−2i32i3-1-111-1-100000000000000000−i3i3i3−i30000000000000000000000
χ694444-2-2-4-4-4-4-2-2-2-2-2-2000014111222222-2-222000000004-4-2-2-222-1-1-1-111000000000000000-2211-1-10000000000000000000000
χ704444-2-2-4-4-4-4-2-2-2-2-2-2000014111222222-2-22200000000-44-222-2-2-1-1-1-1110000000000000002-2-1-1110000000000000000000000
χ7144-4-44-2040-44-4-22-424i4i−4i−4i-20-2220-400-220004004i−4i−2i−2i2i2i000000000-22000000000000000−2i2i0000000000000000000000000000
χ7244-4-44-2040-44-4-22-42−4i−4i4i4i-20-2220-400-22000400−4i4i2i2i−2i−2i000000000-220000000000000002i−2i0000000000000000000000000000
χ7344-4-44-20-4044-4-22-424i4i−4i−4i-20-22204002-2000-400−4i4i−2i−2i2i2i0000000002-20000000000000002i−2i0000000000000000000000000000
χ7444-4-44-20-4044-4-22-42−4i−4i4i4i-20-22204002-2000-4004i−4i2i2i−2i−2i0000000002-2000000000000000−2i2i0000000000000000000000000000
χ7544-4-4-24040-4-224-42-40000-20-22202004-4000-200000000000000000-2200000−2i22i2−2i22i200000000000000000000i2−i2i2−i2000000000000
χ7644-4-4-24040-4-224-42-40000-20-22202004-4000-200000000000000000-22000002i2−2i22i2−2i200000000000000000000−i2i2−i2i2000000000000
χ7744-4-4-240-404-224-42-40000-20-2220-200-440002000000000000000002-20000022−22−222200000000000000000000−222−2000000000000
χ7844-4-4-240-404-224-42-40000-20-2220-200-440002000000000000000002-200000−222222−22000000000000000000002−2−22000000000000
χ794-44-44-240-40-442-2-424i−4i4i−4i-202-22-40-220000404i−4i00−2i2i−2i2i0000000-22000000000000000−2i2i000000000000000000000000000000
χ804-44-44-240-40-442-2-42−4i4i−4i4i-202-22-40-22000040−4i4i002i−2i2i−2i0000000-220000000000000002i−2i000000000000000000000000000000
χ814-44-44-2-4040-442-2-424i−4i4i−4i-202-22402-20000-40−4i4i00−2i2i−2i2i00000002-20000000000000002i−2i000000000000000000000000000000
χ824-44-44-2-4040-442-2-42−4i4i−4i4i-202-22402-20000-404i−4i002i−2i2i−2i00000002-2000000000000000−2i2i000000000000000000000000000000
χ834-44-4-2440-402-2-442-40000-202-22204-40000-20000000000000000-2200000000000−2i22i2−2i22i200000000000000000000i2−i2i2−i200000000
χ844-44-4-2440-402-2-442-40000-202-22204-40000-20000000000000000-22000000000002i2−2i22i2−2i200000000000000000000−i2i2−i2i200000000
χ854-44-4-24-40402-2-442-40000-202-22-20-440000200000000000000002-20000000000022−22−222200000000000000000000−222−200000000
χ864-44-4-24-40402-2-442-40000-202-22-20-440000200000000000000002-200000000000−222222−22000000000000000000002−2−2200000000
χ874-4-44440000-4-4-4-4444-4-4440-4-44000000000000004-4-4400000000000000000000000000000000000000000000000000000000
χ884-4-44440000-4-4-4-444-444-440-4-4400000000000000-444-400000000000000000000000000000000000000000000000000000000
χ894-4-444-20000-4-4224-24-4-44-2022-2000000−2i32i3000000-222-200000000000−2i32i30−2i32i30000000000000000000000000000000000000000
χ904-4-444-20000-4-4224-24-4-44-2022-20000002i3−2i3000000-222-2000000000002i3−2i302i3−2i30000000000000000000000000000000000000000
χ914-4-444-20000-4-4224-2-444-4-2022-2000000−2i32i30000002-2-2200000000000−2i32i302i3−2i30000000000000000000000000000000000000000
χ924-4-444-20000-4-4224-2-444-4-2022-20000002i3−2i30000002-2-22000000000002i3−2i30−2i32i30000000000000000000000000000000000000000
χ9388-8-8-4-4080-8-44-44440000202-2-20400-44000-4000000000000000002-2000000000000000000000000000000000000000000000
χ9488-8-8-4-40-808-44-44440000202-2-20-4004-4000400000000000000000-22000000000000000000000000000000000000000000000
χ958-88-8-4-480-804-44-444000020-22-240-440000-400000000000000002-200000000000000000000000000000000000000000000000
χ968-88-8-4-4-80804-44-444000020-22-2-404-4000040000000000000000-2200000000000000000000000000000000000000000000000
χ978-8-88-48000044-8-8-480000-4044-400000000000000000000000000000000000000000000000000000000000000000000000000
χ988-8-88-4-400004444-4-4000020-2-22000000−4i34i30000000000000000000002i3−2i30000000000000000000000000000000000000000000
χ998-8-88-4-400004444-4-4000020-2-220000004i3−4i3000000000000000000000−2i32i30000000000000000000000000000000000000000000

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