Finite Group Databasebeta

← Group #11792809

Character table — Group #11792809

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order1222222222336666666666366666666666666666446666121212121212121212121212121212122222666666664444441212121212121212121212122244
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
χ51111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-11-11-1
χ61111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-11-11
χ71111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-11-11
χ81111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111111-11-1
χ922222222222-12-1-1-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000-1-1-1-1000000000000
χ1022222222222-12-1-1-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-200001111000000000000
χ1122222222222-12-1-1-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-122-2-2-1-1-1-1-2-2-2-21111111111112222-1-1-1-1-1-1-1-1-2-200001111000000000000
χ1222222222222-12-1-1-122-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-122-2-2-1-1-1-1-2-2-2-2111111111111-2-2-2-211111111220000-1-1-1-1000000000000
χ132222222222-12-1222-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000000000000022220000-1-1-1-1-1-1-1-10000
χ142222222222-12-1222-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100000000000000-2-2-2-20000111111110000
χ152222222222-12-1222-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-1-1-1-11111-2-2-2-2111111110000000000000022-2-20000-1-1-1-111110000
χ162222222222-12-1222-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-1-1-1-11111-2-2-2-21111111100000000000000-2-22200001111-1-1-1-10000
χ1722222-2-22-2-2222222222222222-2-2-2-2-2-22222222-2-22-2-2-2-2-222-2-222-2-22222-2-2-2-20000000000000000000000000000000000
χ1822222-2-22-2-2222222222222222-2-2-2-2-2-22222222-2-2-22-2-2-2-2-2-222-2-222-2-2-2-222220000000000000000000000000000000000
χ1922222-2-22-2-22-12-1-1-122-1-1-1-1-122-2-21111-1-1-1-1-1-1-1-2-22-2111122-2-2-1-111-1-1-1-111110000−i3−i3−i3−i3i3i3i3i3000000−i3−i3i3i3000000000000
χ2022222-2-22-2-22-12-1-1-122-1-1-1-1-122-2-21111-1-1-1-1-1-1-1-2-22-2111122-2-2-1-111-1-1-1-111110000i3i3i3i3−i3−i3−i3−i3000000i3i3−i3−i3000000000000
χ2122222-2-22-2-22-12-1-1-122-1-1-1-1-122-2-21111-1-1-1-1-1-1-1-2-2-221111-2-22211-1-11111-1-1-1-10000−i3−i3−i3−i3i3i3i3i3000000i3i3−i3−i3000000000000
χ2222222-2-22-2-22-12-1-1-122-1-1-1-1-122-2-21111-1-1-1-1-1-1-1-2-2-221111-2-22211-1-11111-1-1-1-10000i3i3i3i3−i3−i3−i3−i3000000−i3−i3i3i3000000000000
χ2322222-2-22-2-2-12-1222-1-12222-1-1-111-2-2-2-2-1-1-1-1-1-1-1112-21111-1-11122-2-2-1-1-1-11111000000000000000000000033−3−333−3−30000
χ2422222-2-22-2-2-12-1222-1-12222-1-1-111-2-2-2-2-1-1-1-1-1-1-1112-21111-1-11122-2-2-1-1-1-111110000000000000000000000−3−333−3−3330000
χ2522222-2-22-2-2-12-1222-1-12222-1-1-111-2-2-2-2-1-1-1-1-1-1-111-22111111-1-1-2-2221111-1-1-1-1000000000000000000000033−3−3−3−3330000
χ2622222-2-22-2-2-12-1222-1-12222-1-1-111-2-2-2-2-1-1-1-1-1-1-111-22111111-1-1-2-2221111-1-1-1-10000000000000000000000−3−33333−3−30000
χ272222-22-2-22-22222-2-22222-2-22-2-22-222-2-22-2-2-2-2222-20022-2-2000000000000000000000000000000000000000000000020-20
χ282222-22-2-22-22222-2-22222-2-22-2-22-222-2-22-2-2-2-2222-20022-2-20000000000000000000000000000000000000000000000-2020
χ292222-2-22-2-222222-2-22222-2-22-2-2-22-2-2222-2-2-2-222-2200-2-2220000000000000000000000000000000000000000000000020-2
χ302222-2-22-2-222222-2-22222-2-22-2-2-22-2-2222-2-2-2-222-2200-2-22200000000000000000000000000000000000000000000000-202
χ312-2-22222-2-2-2222222-2-2-2-2-2-222-2222-22-2222-2-2-2-2-2-2002-22-200000000000000000000000000002i−2i00002i−2i2i−2i000000000000
χ322-2-22222-2-2-2222222-2-2-2-2-2-222-2222-22-2222-2-2-2-2-2-2002-22-20000000000000000000000000000−2i2i0000−2i2i−2i2i000000000000
χ332-2-22222-2-2-22-12-1-1-1-2-21111-12-222-11-11-1-1-11111-2-200-11-1100003−33−333−3−333−3−30000−i3−i3i3i3−i3−i3i3i32i−2i0000−ii−ii000000000000
χ342-2-22222-2-2-22-12-1-1-1-2-21111-12-222-11-11-1-1-11111-2-200-11-1100003−33−333−3−333−3−30000i3i3−i3−i3i3i3−i3−i3−2i2i0000i−ii−i000000000000
χ352-2-22222-2-2-22-12-1-1-1-2-21111-12-222-11-11-1-1-11111-2-200-11-110000−33−33−3−333−3−3330000−i3−i3i3i3−i3−i3i3i3−2i2i0000i−ii−i000000000000
χ362-2-22222-2-2-22-12-1-1-1-2-21111-12-222-11-11-1-1-11111-2-200-11-110000−33−33−3−333−3−3330000i3i3−i3−i3i3i3−i3−i32i−2i0000−ii−ii000000000000
χ372-2-222-2-2-222222222-2-2-2-2-2-222-2-2-2-22-22222-2-2-2-22200-22-22000000000000000022-2-222-2-2-2-2220000000000000000000000
χ382-2-222-2-2-222222222-2-2-2-2-2-222-2-2-2-22-22222-2-2-2-22200-22-220000000000000000-2-222-2-22222-2-20000000000000000000000
χ392-2-222-2-2-2222-12-1-1-1-2-21111-12-2-2-21-11-1-1-1-1111122001-11-100003−3−3333−3−3−3−33322-2-2-1-11111-1-10000003−3−33000000000000
χ402-2-222-2-2-2222-12-1-1-1-2-21111-12-2-2-21-11-1-1-1-1111122001-11-100003−3−3333−3−3−3−333-2-22211-1-1-1-111000000−333−3000000000000
χ412-2-222-2-2-2222-12-1-1-1-2-21111-12-2-2-21-11-1-1-1-1111122001-11-10000−333−3−3−33333−3−322-2-2-1-11111-1-1000000−333−3000000000000
χ422-2-222-2-2-2222-12-1-1-1-2-21111-12-2-2-21-11-1-1-1-1111122001-11-10000−333−3−3−33333−3−3-2-22211-1-1-1-1110000003−3−33000000000000
χ432-2-22-22-22-222222-2-2-2-2-2-2222-222-22-2-222-2-222-2-2-22002-2-22000000000000000000000000000000002-2000000002-22-20000
χ442-2-22-22-22-222222-2-2-2-2-2-2222-222-22-2-222-2-222-2-2-22002-2-2200000000000000000000000000000000-2200000000-22-220000
χ452-2-22-22-22-22-12-12-2-211-2-222-11-1-112-2-22-111-1-1111-100-111-13−33−300003−33−33−33−300000000000000002-200003−33−3-11-110000
χ462-2-22-22-22-22-12-12-2-211-2-222-11-1-112-2-22-111-1-1111-100-111-13−33−300003−33−33−33−30000000000000000-220000−33−331-11-10000
χ472-2-22-22-22-22-12-12-2-211-2-222-11-1-112-2-22-111-1-1111-100-111-1−33−330000−33−33−33−3300000000000000002-20000−33−33-11-110000
χ482-2-22-22-22-22-12-12-2-211-2-222-11-1-112-2-22-111-1-1111-100-111-1−33−330000−33−33−33−330000000000000000-2200003−33−31-11-10000
χ492-2-22-2-2222-22222-2-2-2-2-2-2222-22-22-222-22-2-222-2-22-200-222-20000000000000000000000000000002-20000002-2-2200000000
χ502-2-22-2-2222-22222-2-2-2-2-2-2222-22-22-222-22-2-222-2-22-200-222-2000000000000000000000000000000-22000000-222-200000000
χ512-2-22-2-2222-2-12-12-2-211-2-222-11-11-1-222-2-111-1-111-11001-1-113−3−3300003−33−3−33−33000000000000002-2000000-111-1−333−30000
χ522-2-22-2-2222-2-12-12-2-211-2-222-11-11-1-222-2-111-1-111-11001-1-113−3−3300003−33−3−33−3300000000000000-220000001-1-113−3−330000
χ532-2-22-2-2222-2-12-12-2-211-2-222-11-11-1-222-2-111-1-111-11001-1-11−333−30000−33−333−33−3000000000000002-2000000-111-13−3−330000
χ542-2-22-2-2222-2-12-12-2-211-2-222-11-11-1-222-2-111-1-111-11001-1-11−333−30000−33−333−33−300000000000000-220000001-1-11−333−30000
χ554444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-21111111-2-2441111-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ564444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-21111111-2-2-4-4111122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ5744444-4-44-4-4-2-2-2-2-2-2-2-2-2-2-2-21-2-22222221111111224-4-1-1-1-1-2-222-2-2221111-1-1-1-10000000000000000000000000000000000
χ5844444-4-44-4-4-2-2-2-2-2-2-2-2-2-2-2-21-2-2222222111111122-44-1-1-1-122-2-222-2-2-1-1-1-111110000000000000000000000000000000000
χ594444-44-4-44-44-24-22244-2-222-2-4-44-4-2-222-22222-2-24-400-2-22200000000000000000000000000000000000000000000000000
χ604444-44-4-44-4-24-24-4-4-2-244-4-4-222-2244-4-4-22222-2-2-2200-2-22200000000000000000000000000000000000000000000000000
χ614444-44-4-44-4-2-2-2-222-2-2-2-222122-22-2-2221-1-1-1-111-220011-1-1000000003-3-333-3-330000000000000000000000000000000000
χ624444-44-4-44-4-2-2-2-222-2-2-2-222122-22-2-2221-1-1-1-111-220011-1-100000000-333-3-333-30000000000000000000000000000000000
χ634444-4-44-4-444-24-22244-2-222-2-4-4-4422-2-2-22222-2-2-440022-2-200000000000000000000000000000000000000000000000000
χ644444-4-44-4-44-24-24-4-4-2-244-4-4-2222-2-4-444-22222-2-22-20022-2-200000000000000000000000000000000000000000000000000
χ654444-4-44-4-44-2-2-2-222-2-2-2-2221222-222-2-21-1-1-1-1112-200-1-111000000003-3-33-333-30000000000000000000000000000000000
χ664444-4-44-4-44-2-2-2-222-2-2-2-2221222-222-2-21-1-1-1-1112-200-1-11100000000-333-33-3-330000000000000000000000000000000000
χ6744-4-400000044-4-4004-44-400400000000-400004-40000000000000000000000002-22-22-22-22-22-20000000000000000000000
χ6844-4-400000044-4-4004-44-400400000000-400004-4000000000000000000000000-22-22-22-22-22-220000000000000000000000
χ6944-4-40000004-2-42−2i32i34-4-22−2i32i3-2000000002−2i32i3−2i32i3-220000000000000000000000002-22-2−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i30000000000000000000000
χ7044-4-40000004-2-42−2i32i34-4-22−2i32i3-2000000002−2i32i3−2i32i3-22000000000000000000000000-22-221+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i30000000000000000000000
χ7144-4-40000004-2-422i3−2i34-4-222i3−2i3-20000000022i3−2i32i3−2i3-220000000000000000000000002-22-2−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i30000000000000000000000
χ7244-4-40000004-2-422i3−2i34-4-222i3−2i3-20000000022i3−2i32i3−2i3-22000000000000000000000000-22-221−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i30000000000000000000000
χ734-44-400000044-4-400-44-4400400000000-40000-440000000000000000000000002-2-222-2-22-222-20000000000000000000000
χ744-44-400000044-4-400-44-4400400000000-40000-44000000000000000000000000-222-2-222-22-2-220000000000000000000000
χ754-44-40000004-2-42−2i32i3-442-22i3−2i3-2000000002−2i32i32i3−2i32-20000000000000000000000002-2-22−1−i31+i31+i3−1−i31−i3−1+i3−1+i31−i30000000000000000000000
χ764-44-40000004-2-42−2i32i3-442-22i3−2i3-2000000002−2i32i32i3−2i32-2000000000000000000000000-222-21+i3−1−i3−1−i31+i3−1+i31−i31−i3−1+i30000000000000000000000
χ774-44-40000004-2-422i3−2i3-442-2−2i32i3-20000000022i3−2i3−2i32i32-20000000000000000000000002-2-22−1+i31−i31−i3−1+i31+i3−1−i3−1−i31+i30000000000000000000000
χ784-44-40000004-2-422i3−2i3-442-2−2i32i3-20000000022i3−2i3−2i32i32-2000000000000000000000000-222-21−i3−1+i3−1+i31−i3−1−i31+i31+i3−1−i30000000000000000000000
χ794-4-44444-4-4-4-24-244422-4-4-4-4-2-22-2-24-44-4-2-2-222222200-22-2200000000000000000000000000000000000000000000000000
χ804-4-44444-4-4-4-2-2-2-2-2-22222221-22-2-2-22-22111-1-1-1-122001-11-1000023−2323−23−3−333−3−3330000000000000000000000000000000000
χ814-4-44444-4-4-4-2-2-2-2-2-22222221-22-2-2-22-22111-1-1-1-122001-11-10000−2323−232333−3−333−3−30000000000000000000000000000000000
χ824-4-444-4-4-444-24-244422-4-4-4-4-2-2222-44-44-2-2-22222-2-2002-22-200000000000000000000000000000000000000000000000000
χ834-4-444-4-4-444-2-2-2-2-2-22222221-22222-22-2111-1-1-1-1-2-200-11-11000023−23−2323−3−33333−3−30000000000000000000000000000000000
χ844-4-444-4-4-444-2-2-2-2-2-22222221-22222-22-2111-1-1-1-1-2-200-11-110000−232323−2333−3−3−3−3330000000000000000000000000000000000
χ854-4-44-44-44-444-24-222-4-422-2-2-2-444-4-222-2-222-2-222-4400-222-200000000000000000000000000000000000000000000000000
χ864-4-44-44-44-44-2-2-2-2222222-2-212-2-22-222-21-1-111-1-12-2001-1-1123−2323−230000−33−33−33−330000000000000000000000000000000000
χ874-4-44-44-44-44-2-2-2-2222222-2-212-2-22-222-21-1-111-1-12-2001-1-11−2323−232300003−33−33−33−30000000000000000000000000000000000
χ884-4-44-4-4444-44-24-222-4-422-2-2-2-44-442-2-22-222-2-2224-4002-2-2200000000000000000000000000000000000000000000000000
χ894-4-44-4-4444-4-2-2-2-2222222-2-212-22-22-2-221-1-111-1-1-2200-111-123−23−23230000−33−333−33−30000000000000000000000000000000000
χ904-4-44-4-4444-4-2-2-2-2222222-2-212-22-22-2-221-1-111-1-1-2200-111-1−232323−2300003−33−3−33−330000000000000000000000000000000000
χ9188-8-8000000-484-800-448-800-40000000040000-440000000000000000000000000000000000000000000000000000000000
χ9288-8-8000000-4-444−4i34i3-44-44−4i34i3200000000-22i3−2i32i3−2i32-20000000000000000000000000000000000000000000000000000000000
χ9388-8-8000000-4-4444i3−4i3-44-444i3−4i3200000000-2−2i32i3−2i32i32-20000000000000000000000000000000000000000000000000000000000
χ948-88-8000000-484-8004-4-8800-400000000400004-40000000000000000000000000000000000000000000000000000000000
χ958-88-8000000-4-444−4i34i34-44-44i3−4i3200000000-22i3−2i3−2i32i3-220000000000000000000000000000000000000000000000000000000000
χ968-88-8000000-4-4444i3−4i34-44-4−4i34i3200000000-2−2i32i32i3−2i3-220000000000000000000000000000000000000000000000000000000000

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