Finite Group Databasebeta

← Group #11888602

Character table — Group #11888602

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size111122222222224444444444444444444488888888888888888888888121212121818242424242424242424242424242436363636364848484872
order12223344666666234666668812121212121212121212666812121224242424242424242424242424242424224444244444661212121212122448861212128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-11-11111-1-1-1-1-1-1-1-1-111-1-1-1
χ3111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-11-1-1-1-11111-1-1-1-1-1-1-111-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-1-1-11
χ51111111111111111111111-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11-11-111111111-1-1-111-1-1-1-11
χ61111111111111111111111-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-11111111-1-1-1-1111-1-1-1-111-1
χ71111111111111111111111-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-1-1-1-1-1-11111111-1-111-1-1-1
χ81111111111111111111111-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11-11-1-1-1-1-1-1-1-1-1-1-11111111
χ911111111111111-11-1-1-111111-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1111111-11-1-1-1111-1-111-1-11-1-111-11-11-1
χ1011111111111111-11-1-1-111111-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1-1-1-1111-1-111-1-1-1-111-111-1-1-111-11
χ1111111111111111-11-1-1-111111-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-111-1-11-1-1-111-1-11111-1-1-111-1-11-1-111
χ1211111111111111-11-1-1-111111-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1111-1111-1-1-111-1-1111-1-1111-11-1-1
χ1311111111111111-11-1-1-1111-1-1-1-111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1111111111111-1-11-1-11-1-111-1-111-1-1-111111-11-1-1
χ1411111111111111-11-1-1-1111-1-1-1-111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-11111111111-1-1111-11-1-1111-1-1-1-1111-1-1-1-11-1-111
χ1511111111111111-11-1-1-1111-1-1-1-111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-111111111-1-11111-11-111-1-1-11111-1-11-1-1-1-1-111-11
χ1611111111111111-11-1-1-1111-1-1-1-111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-111-111-1-111-1-111-11111-11-11-1
χ17222222-2-222222222-22222200-2-2-2-2-2-2-2-2-2-22220-2-2-2000000000000000000002200000000000000-22-20000000
χ18222222-2-222222222-22222200-2-2-2-2-2-2-2-2-2-22220-2-2-200000000000000000000-2-2000000000000002-220000000
χ19222222-2-2222222-222-2-22220022-2-2-2-2-2-2-2-2-2-2-20222000000000000000000002200000000000000-2-220000000
χ20222222-2-2222222-222-2-22220022-2-2-2-2-2-2-2-2-2-2-2022200000000000000000000-2-20000000000000022-20000000
χ2122222-122-12-12-122-1222-1-1-122-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1220000220020-1-1-1-1000000000-1-1000
χ2222222-122-12-12-122-1222-1-1-122-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-2-20000-2-200-20111100000000011000
χ2322222-122-12-12-122-1222-1-1-1-2-2-1-122-1-1-1-1-1-1-1-1-1-22-1-1-2-2111111-2-2111111220000-2-20020-1-1-1-100000000011000
χ2422222-122-12-12-122-1222-1-1-1-2-2-1-122-1-1-1-1-1-1-1-1-1-22-1-1-2-2111111-2-2111111-2-200002200-201111000000000-1-1000
χ2522222-122-12-12-12-2-1-2-2-2-1-1-1221122-1-1-1-1-1-1111-2-21122-1-1-1-1-1-1-2-2111111220000-2200-20-1-1110000000001-1000
χ2622222-122-12-12-12-2-1-2-2-2-1-1-1221122-1-1-1-1-1-1111-2-21122-1-1-1-1-1-1-2-2111111-2-200002-2002011-1-1000000000-11000
χ2722222-122-12-12-12-2-1-2-2-2-1-1-1-2-21122-1-1-1-1-1-11112-211-2-211111122-1-1-1-1-1-12200002-200-20-1-111000000000-11000
χ2822222-122-12-12-12-2-1-2-2-2-1-1-1-2-21122-1-1-1-1-1-11112-211-2-211111122-1-1-1-1-1-1-2-20000-22002011-1-10000000001-1000
χ292222-12222-12-12-12-12-1-1-1-1-12222-1-122-1-1-1-12-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10022000022020000-1-1-1-10000000-1-10
χ302222-12222-12-12-12-12-1-1-1-1-12222-1-122-1-1-1-12-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-100-2-20000-2-20-2000011110000000110
χ312222-12222-12-12-12-12-1-1-1-1-1-2-222-1-122-1-1-1-12-1-1-2-1-1-111-2-2111111-2-21111002200002-20-20000-1-1-1-10000000110
χ322222-12222-12-12-12-12-1-1-1-1-1-2-222-1-122-1-1-1-12-1-1-2-1-1-111-2-2111111-2-2111100-2-20000-2202000011110000000-1-10
χ332222-12222-12-12-1-2-1-211-1-1-122-2-2-1-122-1-1-1-1-211-2111-1-122-1-1-1-111-2-2111100220000-2-2020000-1-11100000001-10
χ342222-12222-12-12-1-2-1-211-1-1-122-2-2-1-122-1-1-1-1-211-2111-1-122-1-1-1-111-2-2111100-2-20000220-2000011-1-10000000-110
χ352222-12222-12-12-1-2-1-211-1-1-1-2-2-2-2-1-122-1-1-1-1-211211111-2-21111-1-122-1-1-1-100220000-220-20000-1-1110000000-110
χ362222-12222-12-12-1-2-1-211-1-1-1-2-2-2-2-1-122-1-1-1-1-211211111-2-21111-1-122-1-1-1-100-2-200002-202000011-1-100000001-10
χ372-2-22222-2-2-2-222-202000-2-2200002-22-222-2-2000000000000000000000002-22i−2i000000002-2002i−2i000002i−2i00000
χ382-2-22222-2-2-2-222-202000-2-2200002-22-222-2-2000000000000000000000002-2−2i2i000000002-200−2i2i00000−2i2i00000
χ392-2-22222-2-2-2-222-202000-2-2200002-22-222-2-200000000000000000000000-222i−2i00000000-22002i−2i00000−2i2i00000
χ402-2-22222-2-2-2-222-202000-2-2200002-22-222-2-200000000000000000000000-22−2i2i00000000-2200−2i2i000002i−2i00000
χ4144444-2-4-4-24-24-244-2-444-2-2-20022-4-4222222-2-2-20-4220000000000000000000000000000000000000000000000
χ4244444-2-4-4-24-24-24-4-24-4-4-2-2-200-2-2-4-422222222204-2-20000000000000000000000000000000000000000000000
χ434444-24-4-44-24-24-24-2-4-2-2-2-2-200-4-422-4-422224-2-202220000000000000000000000000000000000000000000000
χ444444-24-4-44-24-24-2-4-2422-2-2-2004422-4-42222-4220-2-2-20000000000000000000000000000000000000000000000
χ454444-2-244-2-2-2-2-2-2414-2-211144-2-2-2-2-2-21111-2114-211-2-2-2-21111-2-2-2-21111000000000000000000000000000000
χ464444-2-244-2-2-2-2-2-2414-2-2111-4-4-2-2-2-2-2-21111-211-4-2112222-1-1-1-12222-1-1-1-1000000000000000000000000000000
χ474444-2-244-2-2-2-2-2-2-41-4221114422-2-2-2-211112-1-1-42-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000000000
χ484444-2-244-2-2-2-2-2-2-41-422111-4-422-2-2-2-211112-1-142-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000000000
χ494444-2-2-4-4-2-2-2-2-2-241-4-2-211100222222-1-1-1-1-21102-1-100003i3i−3i−3i00003i3i−3i−3i000000000000000000000000000000
χ504444-2-2-4-4-2-2-2-2-2-241-4-2-211100222222-1-1-1-1-21102-1-10000−3i−3i3i3i0000−3i−3i3i3i000000000000000000000000000000
χ514444-2-2-4-4-2-2-2-2-2-2-4142211100-2-22222-1-1-1-12-1-10-21100003i3i−3i−3i0000−3i−3i3i3i000000000000000000000000000000
χ524444-2-2-4-4-2-2-2-2-2-2-4142211100-2-22222-1-1-1-12-1-10-2110000−3i−3i3i3i00003i3i−3i−3i000000000000000000000000000000
χ5344-4-444004-4-4-4-44040004-4-4−2i22i200000000000000000−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000000000000000000000
χ5444-4-444004-4-4-4-44040004-4-42i2−2i2000000000000000002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000000000000000000000
χ5544-4-44-200-2-42-4240-2000-222−2i22i223−23000000000000023−23−2i22i2i2−i2i2−i2i2−i200i6−i6i6−i6i6−i6000000000000000000000000000000
χ5644-4-44-200-2-42-4240-2000-222−2i22i2−23230000000000000−2323−2i22i2i2−i2i2−i2i2−i200−i6i6−i6i6−i6i6000000000000000000000000000000
χ5744-4-44-200-2-42-4240-2000-2222i2−2i223−23000000000000023−232i2−2i2−i2i2−i2i2−i2i200−i6i6−i6i6−i6i6000000000000000000000000000000
χ5844-4-44-200-2-42-4240-2000-2222i2−2i2−23230000000000000−23232i2−2i2−i2i2−i2i2−i2i200i6−i6i6−i6i6−i6000000000000000000000000000000
χ5944-4-4-240042-42-4-20-20−2i32i3-222−2i22i200000000000−2i32i30000i2−i2−2i22i2i2−i2i2−i26−6006−6−66000000000000000000000000000000
χ6044-4-4-240042-42-4-20-20−2i32i3-2222i2−2i200000000000−2i32i30000−i2i22i2−2i2−i2i2−i2i2−6600−666−6000000000000000000000000000000
χ6144-4-4-240042-42-4-20-202i3−2i3-222−2i22i2000000000002i3−2i30000i2−i2−2i22i2i2−i2i2−i2−6600−666−6000000000000000000000000000000
χ6244-4-4-240042-42-4-20-202i3−2i3-2222i2−2i2000000000002i3−2i30000−i2i22i2−2i2−i2i2−i2i26−6006−6−66000000000000000000000000000000
χ6344-4-4-2-200-22222-2010−2i32i31-1-1−2i22i223−2300003i−3i3i−3i0i3−i300−33i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ236−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000000
χ6444-4-4-2-200-22222-2010−2i32i31-1-1−2i22i2−23230000−3i3i−3i3i0i3−i3003−3i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ236−6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000
χ6544-4-4-2-200-22222-2010−2i32i31-1-12i2−2i223−2300003i−3i3i−3i0i3−i300−33−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−66−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000000
χ6644-4-4-2-200-22222-2010−2i32i31-1-12i2−2i2−23230000−3i3i−3i3i0i3−i3003−3−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−66i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000
χ6744-4-4-2-200-22222-20102i3−2i31-1-1−2i22i223−230000−3i3i−3i3i0−i3i300−33i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−66i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000000
χ6844-4-4-2-200-22222-20102i3−2i31-1-1−2i22i2−232300003i−3i3i−3i0−i3i3003−3i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−66−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000000
χ6944-4-4-2-200-22222-20102i3−2i31-1-12i2−2i223−230000−3i3i−3i3i0−i3i300−33−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ236−6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000000
χ7044-4-4-2-200-22222-20102i3−2i31-1-12i2−2i2−232300003i−3i3i−3i0−i3i3003−3−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ236−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000000
χ714-44-44400-444-4-4-404000-44-40000000000000000000000000000000000000004i−4i000000000000000000000000
χ724-44-44400-444-4-4-404000-44-4000000000000000000000000000000000000000−4i4i000000000000000000000000
χ734-4-4444-44-4-4-444-404000-4-440000-44-44-4-44400000000000000000000000000000000000000000000000000000
χ744-4-444-24-42-424-2-40-200022-200004-4-22-2-222000000000000000000000004-40000000000-220000000000000000
χ754-4-444-24-42-424-2-40-200022-200004-4-22-2-22200000000000000000000000-4400000000002-20000000000000000
χ764-4-444-2-442-424-2-40-200022-20000-442-222-2-20000000000000000000000000000000000000−2i32i300000000000000
χ774-4-444-2-442-424-2-40-200022-20000-442-222-2-200000000000000000000000000000000000002i3−2i300000000000000
χ784-4-44-244-4-42-4-2420-200022-20000-224-4-2-22200000000000000000000000004i−4i000000000000−2i2i000000000000
χ794-4-44-244-4-42-4-2420-200022-20000-224-4-2-2220000000000000000000000000−4i4i0000000000002i−2i000000000000
χ804-4-44-24-44-42-4-2420-200022-200002-2-4422-2-20000000000000000000000000000000000000000023−230000000000
χ814-4-44-24-44-42-4-2420-200022-200002-2-4422-2-200000000000000000000000000000000000000000−23230000000000
χ828-88-88-40048-4-84-80-40004-4400000000000000000000000000000000000000000000000000000000000000000
χ838-88-8-4800-8-484-840-40004-4400000000000000000000000000000000000000000000000000000000000000000
χ848-88-8-4-4004-4-444402000-22-2000000006i−6i−6i6i00000000000000000000000000000000000000000000000000000
χ858-88-8-4-4004-4-444402000-22-200000000−6i6i6i−6i00000000000000000000000000000000000000000000000000000
χ868-8-88-4-48-8444-4-4402000-2-220000-44-4422-2-200000000000000000000000000000000000000000000000000000
χ878-8-88-4-4-88444-4-4402000-2-2200004-44-4-2-22200000000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.