Finite Group Databasebeta

← Group #11792806

Character table — Group #11792806

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order12222222223366666666663666666666666666664466661212121212121212121212121212121222226666666624444466121212121212121212122444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111111111111111-1-11-1-11111-1-1-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-111-111-1-1-1-111111111-1-1-1-1
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
χ51111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-111-1-1-1-1-1-1-11111-1-1-1-1-1-111
χ61111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-111-1-1
χ81111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-11111-1-111
χ922222222222-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1200200-1-1-1-1000000000000
χ1022222222222-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-12-1-1222-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2-2-211111111-200-2001111000000000000
χ1122222222222-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-12-1-12-2-2-1-1-1-11111-2-2-2-2111111112222-1-1-1-1-1-1-1-1-200-2001111000000000000
χ1222222222222-12-1-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-12-1-12-2-2-1-1-1-11111-2-2-2-211111111-2-2-2-211111111200200-1-1-1-1000000000000
χ132222222222-12-1222222-1-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000220220000-1-1-1-1-1-1-1-10000
χ142222222222-12-1222222-1-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000000000000-2-20-2-20000111111110000
χ152222222222-12-1222222-1-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-21111111111110000000000000220-2-20000-1-1-1-111110000
χ162222222222-12-1222222-1-12-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-2-2-1-1-1-1-2-2-2-21111111111110000000000000-2-202200001111-1-1-1-10000
χ1722222-2-22-2-222222222222222-2-2-2-2-2-2-222222222-200-2-2-2-20000000000000000000000000000200-20022-2-2000000000000
χ1822222-2-22-2-222222222222222-2-2-2-2-2-2-222222222-200-2-2-2-20000000000000000000000000000-200200-2-222000000000000
χ1922222-2-22-2-22-12-1-1-1-1-1-122-1-12-2-2-21111-1-1-1-1-12-1-1-2001111−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i30000−i3−i3−i3−i3i3i3i3i3200-200-1-111000000000000
χ2022222-2-22-2-22-12-1-1-1-1-1-122-1-12-2-2-21111-1-1-1-1-12-1-1-2001111−i3−i3i3i30000−i3−i3−i3−i3i3i3i3i30000i3i3i3i3−i3−i3−i3−i3-20020011-1-1000000000000
χ2122222-2-22-2-22-12-1-1-1-1-1-122-1-12-2-2-21111-1-1-1-1-12-1-1-2001111i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000−i3−i3−i3−i3i3i3i3i3-20020011-1-1000000000000
χ2222222-2-22-2-22-12-1-1-1-1-1-122-1-12-2-2-21111-1-1-1-1-12-1-1-2001111i3i3−i3−i30000i3i3i3i3−i3−i3−i3−i30000i3i3i3i3−i3−i3−i3−i3200-200-1-111000000000000
χ232222-22-2-22-222222-2-2-2-22222-22-2-222-2-2222-2-2-2-2-220022-2-200000000000000000000000000000000000000000000002-200
χ242222-22-2-22-222222-2-2-2-22222-22-2-222-2-2222-2-2-2-2-220022-2-20000000000000000000000000000000000000000000000-2200
χ252222-2-22-2-2222222-2-2-2-22222-2-222-2-222222-2-2-2-2-2-200-2-222000000000000000000000000000002-2000000022-2-200000000
χ262222-2-22-2-2222222-2-2-2-22222-2-222-2-222222-2-2-2-2-2-200-2-22200000000000000000000000000000-220000000-2-22200000000
χ272222-2-22-2-22-12-122-2-2-2-2-1-12-111-1-1-2-222-1-1-11111110011-1-1000033−3−333−3−333−3−300000000000002-20000000-1-11133−3−30000
χ282222-2-22-2-22-12-122-2-2-2-2-1-12-111-1-1-2-222-1-1-11111110011-1-1000033−3−333−3−333−3−30000000000000-22000000011-1-1−3−3330000
χ292222-2-22-2-22-12-122-2-2-2-2-1-12-111-1-1-2-222-1-1-11111110011-1-10000−3−333−3−333−3−33300000000000002-20000000-1-111−3−3330000
χ302222-2-22-2-22-12-122-2-2-2-2-1-12-111-1-1-2-222-1-1-11111110011-1-10000−3−333−3−333−3−3330000000000000-22000000011-1-133−3−30000
χ312-2-22222-2-2-2222-2-222-2-2-2-222222-22-22-22-2-222-2-2-2-2002-22-20000000000000000000000000000000000000000000000002i−2i
χ322-2-22222-2-2-2222-2-222-2-2-2-222222-22-22-22-2-222-2-2-2-2002-22-2000000000000000000000000000000000000000000000000−2i2i
χ332-2-222-2-2-222222-2-222-2-2-2-2222-2-22-22-222-2-222-2-2-2200-22-22000000000000000000000000000000002-2000000002-22-20000
χ342-2-222-2-2-222222-2-222-2-2-2-2222-2-22-22-222-2-222-2-2-2200-22-2200000000000000000000000000000000-2200000000-22-220000
χ352-2-222-2-2-222-12-1-2-222-2-2112-1-111-1-22-22-111-1-1111-1001-11-100003−33−33−33−33−33−300000000000000002-200003−33−3-11-110000
χ362-2-222-2-2-222-12-1-2-222-2-2112-1-111-1-22-22-111-1-1111-1001-11-100003−33−33−33−33−33−30000000000000000-220000−33−331-11-10000
χ372-2-222-2-2-222-12-1-2-222-2-2112-1-111-1-22-22-111-1-1111-1001-11-10000−33−33−33−33−33−3300000000000000002-20000−33−33-11-110000
χ382-2-222-2-2-222-12-1-2-222-2-2112-1-111-1-22-22-111-1-1111-1001-11-10000−33−33−33−33−33−330000000000000000-2200003−33−31-11-10000
χ392-2-22-22-22-22222-2-2-2-222-2-222-22-222-2-222-2-2-2-2222-22-22-2-222-22-22-2-222-2-222-2-220000000000000000000000000000000000
χ402-2-22-22-22-22222-2-2-2-222-2-222-22-222-2-222-2-2-2-2222-2-222-2-22-22-22-222-2-222-2-222-20000000000000000000000000000000000
χ412-2-22-22-22-222-121111-1-1-2-2-1-1-22-22-111-1-111112-1-1-22-2-111-1-11-112-2-22-111-1-111-10000−i3−i3i3i3−i3−i3i3i3000000−i3i3−i3i3000000000000
χ422-2-22-22-22-222-121111-1-1-2-2-1-1-22-22-111-1-111112-1-1-22-2-111-1-11-112-2-22-111-1-111-10000i3i3−i3−i3i3i3−i3−i3000000i3−i3i3−i3000000000000
χ432-2-22-22-22-222-121111-1-1-2-2-1-1-22-22-111-1-111112-1-1-2-22-111-11-11-1-222-21-1-111-1-110000−i3−i3i3i3−i3−i3i3i3000000i3−i3i3−i3000000000000
χ442-2-22-22-22-222-121111-1-1-2-2-1-1-22-22-111-1-111112-1-1-2-22-111-11-11-1-222-21-1-111-1-110000i3i3−i3−i3i3i3−i3−i3000000−i3i3−i3i3000000000000
χ452-2-22-22-22-22-12-1-2-2-2-222112-11-11-12-2-22-11111-1-1-112-2-111-12-22-2-111-1-111-1-111-100000000000000000000003−3−33−333−30000
χ462-2-22-22-22-22-12-1-2-2-2-222112-11-11-12-2-22-11111-1-1-112-2-111-12-22-2-111-1-111-1-111-10000000000000000000000−333−33−3−330000
χ472-2-22-22-22-22-12-1-2-2-2-222112-11-11-12-2-22-11111-1-1-11-22-111-1-22-221-1-111-1-111-1-1100000000000000000000003−3−333−3−330000
χ482-2-22-22-22-22-12-1-2-2-2-222112-11-11-12-2-22-11111-1-1-11-22-111-1-22-221-1-111-1-111-1-110000000000000000000000−333−3−333−30000
χ492-2-22-2-2222-2222-2-2-2-222-2-222-2-22-2-222-22-2-2-2-2222200-222-2000000000000000022-2-222-2-2-2-2220000000000000000000000
χ502-2-22-2-2222-2222-2-2-2-222-2-222-2-22-2-222-22-2-2-2-2222200-222-20000000000000000-2-222-2-22222-2-20000000000000000000000
χ512-2-22-2-2222-22-121111-1-1-2-2-1-1-2-22-21-1-11-111112-1-12001-1-11−i3i3i3−i30000−i3i3i3−i3i3−i3−i3i322-2-2-1-11111-1-1000000−i3i3i3−i3000000000000
χ522-2-22-2-2222-22-121111-1-1-2-2-1-1-2-22-21-1-11-111112-1-12001-1-11−i3i3i3−i30000−i3i3i3−i3i3−i3−i3i3-2-22211-1-1-1-111000000i3−i3−i3i3000000000000
χ532-2-22-2-2222-22-121111-1-1-2-2-1-1-2-22-21-1-11-111112-1-12001-1-11i3−i3−i3i30000i3−i3−i3i3−i3i3i3−i322-2-2-1-11111-1-1000000i3−i3−i3i3000000000000
χ542-2-22-2-2222-22-121111-1-1-2-2-1-1-2-22-21-1-11-111112-1-12001-1-11i3−i3−i3i30000i3−i3−i3i3−i3i3i3−i3-2-22211-1-1-1-111000000−i3i3i3−i3000000000000
χ554444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-211-2441111-2-2-2-2-2-2-2-2111111110000000000000000000000000000000000
χ564444444444-2-2-2-2-2-2-2-2-2-2-2-21-2-2-2-2-2-2-2-211111-211-2-4-4111122222222-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ5744444-4-44-4-4-24-2444444-2-24-2-2222-4-4-4-4-2-2-2-2-2-2-2-2200222200000000000000000000000000000000000000000000000000
χ5844444-4-44-4-4-2-2-2-2-2-2-2-2-2-2-2-21-2222222211111-211200-1-1-1-1−2i3−2i32i32i30000i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ5944444-4-44-4-4-2-2-2-2-2-2-2-2-2-2-2-21-2222222211111-211200-1-1-1-12i32i3−2i3−2i30000−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ604444-44-4-44-44-24-2-2222244-2-2-44-4-4-2-222-2-2-222-422400-2-22200000000000000000000000000000000000000000000000000
χ614444-44-4-44-4-24-244-4-4-4-4-2-24-22-22244-4-4-2-2-222222-200-2-22200000000000000000000000000000000000000000000000000
χ624444-44-4-44-4-2-2-2-2-22222-2-2-212-222-2-222111-1-12-1-1-20011-1-1000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000000000
χ634444-44-4-44-4-2-2-2-2-22222-2-2-212-222-2-222111-1-12-1-1-20011-1-100000000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000000000
χ644444-4-44-4-444-24-2-2222244-2-2-4-44422-2-2-2-2-222-422-40022-2-200000000000000000000000000000000000000000000000000
χ654444-4-44-4-44-2-2-2-2-22222-2-2-2122-2-222-2-2111-1-12-1-1200-1-11100002323−23−23−3−333−3−3330000000000000000000000000000000000
χ664444-4-44-4-44-2-2-2-2-22222-2-2-2122-2-222-2-2111-1-12-1-1200-1-1110000−23−23232333−3−333−3−30000000000000000000000000000000000
χ6744-4-400000044-44-400004-4-4400000000-44-400000000000000000000000000002-22-22-22-22-22-20000000000000000000000
χ6844-4-400000044-44-400004-4-4400000000-44-40000000000000000000000000000-22-22-22-22-22-220000000000000000000000
χ6944-4-40000004-2-4-22−2i32i3−2i32i34-42-2000000002-22−2i32i30−2i32i3000000000000000000000002-22-2−1+i31−i3−1+i31−i3−1−i31+i3−1−i31+i30000000000000000000000
χ7044-4-40000004-2-4-22−2i32i3−2i32i34-42-2000000002-22−2i32i30−2i32i300000000000000000000000-22-221−i3−1+i31−i3−1+i31+i3−1−i31+i3−1−i30000000000000000000000
χ7144-4-40000004-2-4-222i3−2i32i3−2i34-42-2000000002-222i3−2i302i3−2i3000000000000000000000002-22-2−1−i31+i3−1−i31+i3−1+i31−i3−1+i31−i30000000000000000000000
χ7244-4-40000004-2-4-222i3−2i32i3−2i34-42-2000000002-222i3−2i302i3−2i300000000000000000000000-22-221+i3−1−i31+i3−1−i31−i3−1+i31−i3−1+i30000000000000000000000
χ734-44-400000044-4-440000-44-4400000000-4-4400000000000000000000000000002-2-222-2-22-222-20000000000000000000000
χ744-44-400000044-4-440000-44-4400000000-4-440000000000000000000000000000-222-2-222-22-2-220000000000000000000000
χ754-44-40000004-2-42-2−2i32i32i3−2i3-442-20000000022-2−2i32i302i3−2i3000000000000000000000002-2-22−1−i31+i31+i3−1−i31−i3−1+i3−1+i31−i30000000000000000000000
χ764-44-40000004-2-42-2−2i32i32i3−2i3-442-20000000022-2−2i32i302i3−2i300000000000000000000000-222-21+i3−1−i3−1−i31+i3−1+i31−i31−i3−1+i30000000000000000000000
χ774-44-40000004-2-42-22i3−2i3−2i32i3-442-20000000022-22i3−2i30−2i32i3000000000000000000000002-2-22−1+i31−i31−i3−1+i31+i3−1−i3−1−i31+i30000000000000000000000
χ784-44-40000004-2-42-22i3−2i3−2i32i3-442-20000000022-22i3−2i30−2i32i300000000000000000000000-222-21−i3−1+i3−1+i31−i3−1−i31+i31+i3−1−i30000000000000000000000
χ794-4-44444-4-4-44-2422-2-222-4-4-2-2444-4-22-22-222-2-2-422-400-22-2200000000000000000000000000000000000000000000000000
χ804-4-44444-4-4-4-24-2-4-444-4-4224-2-2-2-224-44-4-222-2-2222200-22-2200000000000000000000000000000000000000000000000000
χ814-4-44444-4-4-4-2-2-222-2-22222-21-2-2-22-22-221-1-1112-1-12001-11-1000000003i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000
χ824-4-44444-4-4-4-2-2-222-2-22222-21-2-2-22-22-221-1-1112-1-12001-11-100000000−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000
χ834-4-444-4-4-4444-2422-2-222-4-4-2-24-4-442-22-2-222-2-2-4224002-22-200000000000000000000000000000000000000000000000000
χ844-4-444-4-4-444-2-2-222-2-22222-21-222-22-22-21-1-1112-1-1-200-11-11000023−2323−23−33−33−33−330000000000000000000000000000000000
χ854-4-444-4-4-444-2-2-222-2-22222-21-222-22-22-21-1-1112-1-1-200-11-110000−2323−23233−33−33−33−30000000000000000000000000000000000
χ864-4-44-44-44-44-2-2-22222-2-222-212-22-2-222-21-1-1-1-1-21124-41-1-11-22-22-222-21-1-111-1-110000000000000000000000000000000000
χ874-4-44-44-44-44-2-2-22222-2-222-212-22-2-222-21-1-1-1-1-2112-441-1-112-22-22-2-22-111-1-111-10000000000000000000000000000000000
χ884-4-44-4-4444-4-24-2-4-4-4-444224-222-22-444-4-22222-2-2-2-2002-2-2200000000000000000000000000000000000000000000000000
χ894-4-44-4-4444-4-2-2-22222-2-222-2122-222-2-221-1-1-1-1-211-200-111-1−2i32i32i3−2i30000i3−i3−i3i3−i3i3i3−i30000000000000000000000000000000000
χ904-4-44-4-4444-4-2-2-22222-2-222-2122-222-2-221-1-1-1-1-211-200-111-12i3−2i3−2i32i30000−i3i3i3−i3i3−i3−i3i30000000000000000000000000000000000
χ9188-8-8000000-4848-80000-44-8-4000000004-4400000000000000000000000000000000000000000000000000000000000000
χ9288-8-8000000-4-44-44−4i34i3−4i34i3-444200000000-22-22i3−2i302i3−2i3000000000000000000000000000000000000000000000000000000000
χ9388-8-8000000-4-44-444i3−4i34i3−4i3-444200000000-22-2−2i32i30−2i32i3000000000000000000000000000000000000000000000000000000000
χ948-88-8000000-484-8800004-4-8-40000000044-400000000000000000000000000000000000000000000000000000000000000
χ958-88-8000000-4-444-4−4i34i34i3−4i34-44200000000-2-222i3−2i30−2i32i3000000000000000000000000000000000000000000000000000000000
χ968-88-8000000-4-444-44i3−4i3−4i34i34-44200000000-2-22−2i32i302i3−2i3000000000000000000000000000000000000000000000000000000000

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