Finite Group Databasebeta

← Group #11792801

Character table — Group #11792801

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order12222222223366666666663666666666666666662466666666666612121212121212122222666666664444441212121212121212121212122444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-1-11
χ61111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-111-1
χ71111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-111-1
χ81111111111111111111111111111111111111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111-1-11
χ922222222222-122-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000-1-1-1-1000000000000
χ1022222222222-122-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2-2-211111111-2-200001111000000000000
χ1122222222222-122-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-122-2-2-2-211-1-1-1-11111-2-21111112222-1-1-1-1-1-1-1-1-2-200001111000000000000
χ1222222222222-122-1-1-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-122-2-2-2-211-1-1-1-11111-2-2111111-2-2-2-211111111220000-1-1-1-1000000000000
χ132222222222-12-1-12222-1222-1-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-10000000000000022220000-1-1-1-1-1-1-1-10000
χ142222222222-12-1-12222-1222-1-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-1-1-1-1-122-1-1-1-100000000000000-2-2-2-20000111111110000
χ152222222222-12-1-12222-1222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-211-2-2-1-1-1-1111111-2-211110000000000000022-2-20000-1-1-1-111110000
χ162222222222-12-1-12222-1222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-211-2-2-1-1-1-1111111-2-2111100000000000000-2-22200001111-1-1-1-10000
χ1722222-2-22-2-2222222222222222-2-2-2-2-2-22222222-2-22-22222-2-2-2-22222-2-2-2-2-2-2-2-20000000000000000000000000000000000
χ1822222-2-22-2-2222222222222222-2-2-2-2-2-22222222-2-2-22-2-2-2-2-2-2-2-2-2-2-2-2222222220000000000000000000000000000000000
χ1922222-2-22-2-22-122-1-1-1-12-1-1-1-122-2-21111-1-1-1-1-1-1-1-2-22-222-1-11111-1-1-1-1-2-21111110000−i3−i3−i3−i3i3i3i3i3000000−i3−i3i3i3000000000000
χ2022222-2-22-2-22-122-1-1-1-12-1-1-1-122-2-21111-1-1-1-1-1-1-1-2-22-222-1-11111-1-1-1-1-2-21111110000i3i3i3i3−i3−i3−i3−i3000000i3i3−i3−i3000000000000
χ2122222-2-22-2-22-122-1-1-1-12-1-1-1-122-2-21111-1-1-1-1-1-1-1-2-2-22-2-2111111111122-1-1-1-1-1-10000−i3−i3−i3−i3i3i3i3i3000000i3i3−i3−i3000000000000
χ2222222-2-22-2-22-122-1-1-1-12-1-1-1-122-2-21111-1-1-1-1-1-1-1-2-2-22-2-2111111111122-1-1-1-1-1-10000i3i3i3i3−i3−i3−i3−i3000000−i3−i3i3i3000000000000
χ2322222-2-22-2-2-12-1-12222-1222-1-1-111-2-2-2-2-1-1-1-1-1-1-1112-2-1-1221111-1-1-1-111-2-21111000000000000000000000033−3−333−3−30000
χ2422222-2-22-2-2-12-1-12222-1222-1-1-111-2-2-2-2-1-1-1-1-1-1-1112-2-1-1221111-1-1-1-111-2-211110000000000000000000000−3−333−3−3330000
χ2522222-2-22-2-2-12-1-12222-1222-1-1-111-2-2-2-2-1-1-1-1-1-1-111-2211-2-211111111-1-122-1-1-1-1000000000000000000000033−3−3−3−3330000
χ2622222-2-22-2-2-12-1-12222-1222-1-1-111-2-2-2-2-1-1-1-1-1-1-111-2211-2-211111111-1-122-1-1-1-10000000000000000000000−3−33333−3−30000
χ272222-22-2-22-2222222-2-222-2-22-2-22-222-2-222-2-2-2-222-200000022-2-2000000000000000000000000000000000000000000200-2
χ282222-22-2-22-2222222-2-222-2-22-2-22-222-2-222-2-2-2-222-200000022-2-2000000000000000000000000000000000000000000-2002
χ292222-2-22-2-22222222-2-222-2-22-2-2-22-2-22222-2-2-2-22-22000000-2-22200000000000000000000000000000000000000000002-20
χ302222-2-22-2-22222222-2-222-2-22-2-2-22-2-22222-2-2-2-22-22000000-2-2220000000000000000000000000000000000000000000-220
χ312-2-22222-2-2-222-2-2-2-22222-2-222-2222-22-2-2-222-2-22-2-20000002-22-200000000000000000000000000002i−2i000000002i−2i2i−2i0000
χ322-2-22222-2-2-222-2-2-2-22222-2-222-2222-22-2-2-222-2-22-2-20000002-22-20000000000000000000000000000−2i2i00000000−2i2i−2i2i0000
χ332-2-22222-2-2-2-1211-2-222-12-2-2-1-11-1-12-22-211-1-111-11100−i3i300-11-11−i3−i3i3i3−i3i300−i3−i3i3i300000000000000002i−2i00003−33−3−ii−ii0000
χ342-2-22222-2-2-2-1211-2-222-12-2-2-1-11-1-12-22-211-1-111-11100−i3i300-11-11−i3−i3i3i3−i3i300−i3−i3i3i30000000000000000−2i2i0000−33−33i−ii−i0000
χ352-2-22222-2-2-2-1211-2-222-12-2-2-1-11-1-12-22-211-1-111-11100i3−i300-11-11i3i3−i3−i3i3−i300i3i3−i3−i300000000000000002i−2i0000−33−33−ii−ii0000
χ362-2-22222-2-2-2-1211-2-222-12-2-2-1-11-1-12-22-211-1-111-11100i3−i300-11-11i3i3−i3−i3i3−i300i3i3−i3−i30000000000000000−2i2i00003−33−3i−ii−i0000
χ372-2-222-2-2-22222-2-2-2-22222-2-222-2-2-2-22-22-2-222-2-2222000000-22-22000000000000000000000000002-20000002-2-2200000000
χ382-2-222-2-2-22222-2-2-2-22222-2-222-2-2-2-22-22-2-222-2-2222000000-22-2200000000000000000000000000-22000000-222-200000000
χ392-2-222-2-2-222-1211-2-222-12-2-2-1-1111-22-2211-1-111-1-1-100−i3i3001-11-1−i3−i3i3i3i3−i300i3i3−i3−i3000000000000002-2000000-111-1−i3i3i3−i30000
χ402-2-222-2-2-222-1211-2-222-12-2-2-1-1111-22-2211-1-111-1-1-100−i3i3001-11-1−i3−i3i3i3i3−i300i3i3−i3−i300000000000000-220000001-1-11i3−i3−i3i30000
χ412-2-222-2-2-222-1211-2-222-12-2-2-1-1111-22-2211-1-111-1-1-100i3−i3001-11-1i3i3−i3−i3−i3i300−i3−i3i3i3000000000000002-2000000-111-1i3−i3−i3i30000
χ422-2-222-2-2-222-1211-2-222-12-2-2-1-1111-22-2211-1-111-1-1-100i3−i3001-11-1i3i3−i3−i3−i3i300−i3−i3i3i300000000000000-220000001-1-11−i3i3i3−i30000
χ432-2-22-22-22-2222-2-2-2-2-2-222222-222-22-2-22-2-2-2-2222-220000002-2-220000000000000000000000002-200002-22-2000000000000
χ442-2-22-22-22-2222-2-2-2-2-2-222222-222-22-2-22-2-2-2-2222-220000002-2-22000000000000000000000000-220000-22-22000000000000
χ452-2-22-22-22-222-1-2-211112-1-1-1-1-222-2-111-11111-1-1-1-220000−i3i3-111-1−i3i3−i3i300−i3i3−i3i3−i3i30000−i3−i3i3i3−i3−i3i3i32-20000-11-11000000000000
χ462-2-22-22-22-222-1-2-211112-1-1-1-1-222-2-111-11111-1-1-1-220000−i3i3-111-1−i3i3−i3i300−i3i3−i3i3−i3i30000i3i3−i3−i3i3i3−i3−i3-2200001-11-1000000000000
χ472-2-22-22-22-222-1-2-211112-1-1-1-1-222-2-111-11111-1-1-1-220000i3−i3-111-1i3−i3i3−i300i3−i3i3−i3i3−i30000−i3−i3i3i3−i3−i3i3i3-2200001-11-1000000000000
χ482-2-22-22-22-222-1-2-211112-1-1-1-1-222-2-111-11111-1-1-1-220000i3−i3-111-1i3−i3i3−i300i3−i3i3−i3i3−i30000i3i3−i3−i3i3i3−i3−i32-20000-11-11000000000000
χ492-2-22-2-2222-222-2-2-2-2-2-222222-22-22-222-2-2-2-2-22222-2000000-222-200000000000022-2-222-2-2-2-2220000000000000000000000
χ502-2-22-2-2222-222-2-2-2-2-2-222222-22-22-222-2-2-2-2-22222-2000000-222-2000000000000-2-222-2-22222-2-20000000000000000000000
χ512-2-22-2-2222-22-1-2-211112-1-1-1-1-22-221-1-111111-1-1-12-20000−i3i31-1-11−i3i3−i3i300i3−i3i3−i3i3−i322-2-2-1-11111-1-1000000−i3i3i3−i3000000000000
χ522-2-22-2-2222-22-1-2-211112-1-1-1-1-22-221-1-111111-1-1-12-20000−i3i31-1-11−i3i3−i3i300i3−i3i3−i3i3−i3-2-22211-1-1-1-111000000i3−i3−i3i3000000000000
χ532-2-22-2-2222-22-1-2-211112-1-1-1-1-22-221-1-111111-1-1-12-20000i3−i31-1-11i3−i3i3−i300−i3i3−i3i3−i3i322-2-2-1-11111-1-1000000i3−i3−i3i3000000000000
χ542-2-22-2-2222-22-1-2-211112-1-1-1-1-22-221-1-111111-1-1-12-20000i3−i31-1-11i3−i3i3−i300−i3i3−i3i3−i3i3-2-22211-1-1-1-111000000−i3i3i3−i3000000000000
χ554444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-21111111-2-244-2-2-2-211111111-2-2-2-211110000000000000000000000000000000000
χ564444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-21111111-2-2-4-422221111-1-1-1-12222-1-1-1-10000000000000000000000000000000000
χ5744444-4-44-4-4-2-2-2-2-2-2-2-2-2-2-2-21-2-22222221111111224-4-2-2-2-2-1-1-1-111112222-1-1-1-10000000000000000000000000000000000
χ5844444-4-44-4-4-2-2-2-2-2-2-2-2-2-2-2-21-2-2222222111111122-442222-1-1-1-1-1-1-1-1-2-2-2-211110000000000000000000000000000000000
χ594444-44-4-44-44-244-2-2224-222-2-4-44-4-2-222-2-22222-24-4000000-2-2220000000000000000000000000000000000000000000000
χ604444-44-4-44-4-24-2-244-4-4-24-4-4-222-2244-4-4-2-22222-2-22000000-2-2220000000000000000000000000000000000000000000000
χ614444-44-4-44-4-2-2-2-2-2-222-2-222122-22-2-22211-1-1-1-11-2200000011-1-13-3-3300003-3-330000000000000000000000000000000000
χ624444-44-4-44-4-2-2-2-2-2-222-2-222122-22-2-22211-1-1-1-11-2200000011-1-1-333-30000-333-30000000000000000000000000000000000
χ634444-4-44-4-444-244-2-2224-222-2-4-4-4422-2-2-2-22222-2-4400000022-2-20000000000000000000000000000000000000000000000
χ644444-4-44-4-44-24-2-244-4-4-24-4-4-2222-2-4-444-2-22222-22-200000022-2-20000000000000000000000000000000000000000000000
χ654444-4-44-4-44-2-2-2-2-2-222-2-2221222-222-2-211-1-1-1-112-2000000-1-1113-3-330000-333-30000000000000000000000000000000000
χ664444-4-44-4-44-2-2-2-2-2-222-2-2221222-222-2-211-1-1-1-112-2000000-1-111-333-300003-3-330000000000000000000000000000000000
χ6744-4-4000000444-44-400-4-4004000000004-40000-40000000000000000000000002-22-22-22-22-22-20000000000000000000000
χ6844-4-4000000444-44-400-4-4004000000004-40000-4000000000000000000000000-22-22-22-22-22-220000000000000000000000
χ6944-4-40000004-24-4-22−2i32i3-42−2i32i3-200000000-22−2i32i3−2i32i320000000000000000000000002-22-2−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i30000000000000000000000
χ7044-4-40000004-24-4-22−2i32i3-42−2i32i3-200000000-22−2i32i3−2i32i32000000000000000000000000-22-221+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i30000000000000000000000
χ7144-4-40000004-24-4-222i3−2i3-422i3−2i3-200000000-222i3−2i32i3−2i320000000000000000000000002-22-2−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i30000000000000000000000
χ7244-4-40000004-24-4-222i3−2i3-422i3−2i3-200000000-222i3−2i32i3−2i32000000000000000000000000-22-221−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i30000000000000000000000
χ734-44-400000044-44-4400-4-400400000000-440000-40000000000000000000000002-2-222-2-22-222-20000000000000000000000
χ744-44-400000044-44-4400-4-400400000000-440000-4000000000000000000000000-222-2-222-22-2-220000000000000000000000
χ754-44-40000004-2-442-2−2i32i3-422i3−2i3-2000000002-2−2i32i32i3−2i320000000000000000000000002-2-22−1+i31−i31−i3−1+i31+i3−1−i3−1−i31+i30000000000000000000000
χ764-44-40000004-2-442-2−2i32i3-422i3−2i3-2000000002-2−2i32i32i3−2i32000000000000000000000000-222-21−i3−1+i3−1+i31−i3−1−i31+i31+i3−1−i30000000000000000000000
χ774-44-40000004-2-442-22i3−2i3-42−2i32i3-2000000002-22i3−2i3−2i32i320000000000000000000000002-2-22−1−i31+i31+i3−1−i31−i3−1+i3−1+i31−i30000000000000000000000
χ784-44-40000004-2-442-22i3−2i3-42−2i32i3-2000000002-22i3−2i3−2i32i32000000000000000000000000-222-21+i3−1−i3−1−i31+i3−1+i31−i31−i3−1+i30000000000000000000000
χ794-4-44444-4-4-44-2-4-422-2-24-222-24-444-22-2222-2-222-2-4-4000000-22-220000000000000000000000000000000000000000000000
χ804-4-44444-4-4-4-2-22222-2-2-2-2221-22-2-2-22-22-1-111-1-112200−2i32i3001-11-1i3i3−i3−i3−2i32i300i3i3−i3−i30000000000000000000000000000000000
χ814-4-44444-4-4-4-2-22222-2-2-2-2221-22-2-2-22-22-1-111-1-1122002i3−2i3001-11-1−i3−i3i3i32i3−2i300−i3−i3i3i30000000000000000000000000000000000
χ824-4-444-4-4-4444-2-4-422-2-24-222-24-4-4-42-22-222-2-222-2440000002-22-20000000000000000000000000000000000000000000000
χ834-4-444-4-4-444-2-22222-2-2-2-2221-22222-22-2-1-111-1-11-2-200−2i32i300-11-11i3i3−i3−i32i3−2i300−i3−i3i3i30000000000000000000000000000000000
χ844-4-444-4-4-444-2-22222-2-2-2-2221-22222-22-2-1-111-1-11-2-2002i3−2i300-11-11−i3−i3i3i3−2i32i300i3i3−i3−i30000000000000000000000000000000000
χ854-4-44-44-44-44-2422-4-4-4-4-2444-22-2-224-4-442222-2-2-22-2000000-222-20000000000000000000000000000000000000000000000
χ864-4-44-44-44-44-2-2222222-2-2-2-212-2-22-222-2-1-1-1-11112-20000−2i32i31-1-11i3−i3i3−i300−2i32i3i3−i3i3−i30000000000000000000000000000000000
χ874-4-44-44-44-44-2-2222222-2-2-2-212-2-22-222-2-1-1-1-11112-200002i3−2i31-1-11−i3i3−i3i3002i3−2i3−i3i3−i3i30000000000000000000000000000000000
χ884-4-44-4-4444-4-2422-4-4-4-4-2444-22-22-2-444-42222-2-2-2-220000002-2-220000000000000000000000000000000000000000000000
χ894-4-44-4-4444-4-2-2222222-2-2-2-212-22-22-2-22-1-1-1-1111-220000−2i32i3-111-1i3−i3i3−i3002i3−2i3−i3i3−i3i30000000000000000000000000000000000
χ904-4-44-4-4444-4-2-2222222-2-2-2-212-22-22-2-22-1-1-1-1111-2200002i3−2i3-111-1−i3i3−i3i300−2i32i3i3−i3i3−i30000000000000000000000000000000000
χ9188-8-8000000-48-448-8004-800-400000000-44000040000000000000000000000000000000000000000000000000000000000
χ9288-8-8000000-4-4-44-44−4i34i344−4i34i32000000002-22i3−2i32i3−2i3-20000000000000000000000000000000000000000000000000000000000
χ9388-8-8000000-4-4-44-444i3−4i3444i3−4i32000000002-2−2i32i3−2i32i3-20000000000000000000000000000000000000000000000000000000000
χ948-88-8000000-484-4-88004-800-4000000004-4000040000000000000000000000000000000000000000000000000000000000
χ958-88-8000000-4-44-44-4−4i34i3444i3−4i3200000000-222i3−2i3−2i32i3-20000000000000000000000000000000000000000000000000000000000
χ968-88-8000000-4-44-44-44i3−4i344−4i34i3200000000-22−2i32i32i3−2i3-20000000000000000000000000000000000000000000000000000000000

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