Finite Group Databasebeta

← Group #11793957

Character table — Group #11793957

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order122222334444666666666636666666661212121212121212441212121212121212121212121212121212121212888824242424242424244488881212121224242424242424242488
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1
χ922222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000000000000000002i−2i0000002i2i−2i−2i00000000
χ1022222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000000−2i2i000000−2i−2i2i2i00000000
χ112222222-1222222222-1-12-12-1-1-1-1-1-1-1-1-1-1-1-1222-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000022220000-1-1-1-1-1-1-1-10000
χ122222222-1222222222-1-12-12-1-1-1-1-1-1-1-1-1-1-1-1222-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-20000111111110000
χ132222222-1222222222-1-12-12-1-1-1-1-1-1-1-1-1-1-1-1222-1-12-2-2-2-2-2-21111-1-1-1-1111111110000000000000022-2-20000-1-1-1-111110000
χ142222222-1222222222-1-12-12-1-1-1-1-1-1-1-1-1-1-1-1222-1-12-2-2-2-2-2-21111-1-1-1-11111111100000000000000-2-22200001111-1-1-1-10000
χ152222222-1-2-2-2-222222-1-12-12-1-1-1-1-1-1-1-1-1-111-2-2-211-2000000−i3−i3i3i31111−i3−i3−i3−i3i3i3i3i3000000000000002i−2i000000−i−iii33−3−30000
χ162222222-1-2-2-2-222222-1-12-12-1-1-1-1-1-1-1-1-1-111-2-2-211-2000000−i3−i3i3i31111−i3−i3−i3−i3i3i3i3i300000000000000−2i2i000000ii−i−i−3−3330000
χ172222222-1-2-2-2-222222-1-12-12-1-1-1-1-1-1-1-1-1-111-2-2-211-2000000i3i3−i3−i31111i3i3i3i3−i3−i3−i3−i3000000000000002i−2i000000−i−iii−3−3330000
χ182222222-1-2-2-2-222222-1-12-12-1-1-1-1-1-1-1-1-1-111-2-2-211-2000000i3i3−i3−i31111i3i3i3i3−i3−i3−i3−i300000000000000−2i2i000000ii−i−i33−3−30000
χ19222222-122222-1-1-1-1-122-12-1-122-1-1-1-1-1-1-122-1-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000-1-1-1-1000000000000
χ20222222-122222-1-1-1-1-122-12-1-122-1-1-1-1-1-1-122-1-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-200001111000000000000
χ21222222-122222-1-1-1-1-122-12-1-122-1-1-1-1-1-1-122-1-1-122-1-2-21111-2-2-2-2-1-1-1-1111111112222-1-1-1-1-1-1-1-1-2-200001111000000000000
χ22222222-122222-1-1-1-1-122-12-1-122-1-1-1-1-1-1-122-1-1-122-1-2-21111-2-2-2-2-1-1-1-111111111-2-2-2-211111111220000-1-1-1-1000000000000
χ232222-2-2222-2-222-2-2-2-2222222-2-22-2-2-2-2222-222-22-2-2000000000022-2-2000000000000000000000000000000000000002-200
χ242222-2-2222-2-222-2-2-2-2222222-2-22-2-2-2-2222-222-22-2-2000000000022-2-200000000000000000000000000000000000000-2200
χ252222-2-222-222-22-2-2-2-2222222-2-22-2-2-2-222-22-2-22-2220000000000-2-2220000000022-2-22222-2-2-2-20000000000000000000000
χ262222-2-222-222-22-2-2-2-2222222-2-22-2-2-2-222-22-2-22-2220000000000-2-22200000000-2-222-2-2-2-222220000000000000000000000
χ272222-2-2-12-222-2-1111122-12-1-1-2-2-11111-1-1-2211-1-22-100−i3−i3i3i3000011-1-1−i3−i3i3i3−i3−i3i3i322-2-2-1-1-1-11111000000−i3−i3i3i3000000000000
χ282222-2-2-12-222-2-1111122-12-1-1-2-2-11111-1-1-2211-1-22-100−i3−i3i3i3000011-1-1−i3−i3i3i3−i3−i3i3i3-2-2221111-1-1-1-1000000i3i3−i3−i3000000000000
χ292222-2-2-12-222-2-1111122-12-1-1-2-2-11111-1-1-2211-1-22-100i3i3−i3−i3000011-1-1i3i3−i3−i3i3i3−i3−i322-2-2-1-1-1-11111000000i3i3−i3−i3000000000000
χ302222-2-2-12-222-2-1111122-12-1-1-2-2-11111-1-1-2211-1-22-100i3i3−i3−i3000011-1-1i3i3−i3−i3i3i3−i3−i3-2-2221111-1-1-1-1000000−i3−i3i3i3000000000000
χ312-2-222-22222-2-2-222-2-2-22-2-2222-2-222-2-22-2222-2-2-2-2200000000002-22-200000000000000000000000000000000000000002i−2i
χ322-2-222-22222-2-2-222-2-2-22-2-2222-2-222-2-22-2222-2-2-2-2200000000002-22-20000000000000000000000000000000000000000−2i2i
χ332-2-222-222-2-222-222-2-2-22-2-2222-2-222-2-22-2-2-2-22222-20000000000-22-22000000000000000000002-200002-22-2000000000000
χ342-2-222-222-2-222-222-2-2-22-2-2222-2-222-2-22-2-2-2-22222-20000000000-22-2200000000000000000000-220000-22-22000000000000
χ352-2-222-2-12-2-2221-1-111-221-2-1-12-21-1-111-11-2-21-1-1221003−33−300001-11-13−33−33−33−3000033−3−333−3−32-20000-11-11000000000000
χ362-2-222-2-12-2-2221-1-111-221-2-1-12-21-1-111-11-2-21-1-1221003−33−300001-11-13−33−33−33−30000−3−333−3−333-2200001-11-1000000000000
χ372-2-222-2-12-2-2221-1-111-221-2-1-12-21-1-111-11-2-21-1-122100−33−3300001-11-1−33−33−33−33000033−3−333−3−3-2200001-11-1000000000000
χ382-2-222-2-12-2-2221-1-111-221-2-1-12-21-1-111-11-2-21-1-122100−33−3300001-11-1−33−33−33−330000−3−333−3−3332-20000-11-11000000000000
χ392-2-22-22222-22-2-2-2-222-22-2-222-22-2-2-2222-22-22-22-22-22i−2i2i−2i−2i2i2i−2i2i−2i2-2-222i−2i−2i2i2i−2i−2i2i0000000000000000000000000000000000
χ402-2-22-22222-22-2-2-2-222-22-2-222-22-2-2-2222-22-22-22-22-2−2i2i−2i2i2i−2i−2i2i−2i2i2-2-22−2i2i2i−2i−2i2i2i−2i0000000000000000000000000000000000
χ412-2-22-2222-22-22-2-2-222-22-2-222-22-2-2-2222-2-22-22-22-220000000000-222-20000000000000000000000002-2000000002-22-20000
χ422-2-22-2222-22-22-2-2-222-22-2-222-22-2-2-2222-2-22-22-22-220000000000-222-2000000000000000000000000-2200000000-22-220000
χ432-2-22-222-12-22-2-2-2-2221-1-212-11-1111-1-1-11-112-221-1-22i−2i2i−2i−2i2i−ii−ii-111-1−iii−i−iii−i0000000000000000000000−i3i3−i3i33−3−330000
χ442-2-22-222-12-22-2-2-2-2221-1-212-11-1111-1-1-11-112-221-1-22i−2i2i−2i−2i2i−ii−ii-111-1−iii−i−iii−i0000000000000000000000i3−i3i3−i3−333−30000
χ452-2-22-222-12-22-2-2-2-2221-1-212-11-1111-1-1-11-112-221-1-2−2i2i−2i2i2i−2ii−ii−i-111-1i−i−iii−i−ii0000000000000000000000−i3i3−i3i3−333−30000
χ462-2-22-222-12-22-2-2-2-2221-1-212-11-1111-1-1-11-112-221-1-2−2i2i−2i2i2i−2ii−ii−i-111-1i−i−iii−i−ii0000000000000000000000i3−i3i3−i33−3−330000
χ472-2-22-222-1-22-22-2-2-2221-1-212-11-1111-1-1-111-1-22-2-1120000003−3−331-1-113−3−33−333−300000000000000002-20000−333−3-11-110000
χ482-2-22-222-1-22-22-2-2-2221-1-212-11-1111-1-1-111-1-22-2-1120000003−3−331-1-113−3−33−333−30000000000000000-2200003−3−331-11-10000
χ492-2-22-222-1-22-22-2-2-2221-1-212-11-1111-1-1-111-1-22-2-112000000−333−31-1-11−333−33−3−3300000000000000002-200003−3−33-11-110000
χ502-2-22-222-1-22-22-2-2-2221-1-212-11-1111-1-1-111-1-22-2-112000000−333−31-1-11−333−33−3−330000000000000000-220000−333−31-11-10000
χ512-2-22-22-122-22-2111-1-1-221-2-1-1-22111-1-1-112-2-11-1-2212i−2i−iii−i2i−2i2i−2i-111-1−iii−i−iii−i000033−3−3−3−333000000−i3i3i3−i3000000000000
χ522-2-22-22-122-22-2111-1-1-221-2-1-1-22111-1-1-112-2-11-1-2212i−2i−iii−i2i−2i2i−2i-111-1−iii−i−iii−i0000−3−33333−3−3000000i3−i3−i3i3000000000000
χ532-2-22-22-122-22-2111-1-1-221-2-1-1-22111-1-1-112-2-11-1-221−2i2ii−i−ii−2i2i−2i2i-111-1i−i−iii−i−ii000033−3−3−3−333000000i3−i3−i3i3000000000000
χ542-2-22-22-122-22-2111-1-1-221-2-1-1-22111-1-1-112-2-11-1-221−2i2ii−i−ii−2i2i−2i2i-111-1i−i−iii−i−ii0000−3−33333−3−3000000−i3i3i3−i3000000000000
χ55444444-24-4-4-4-4-2-2-2-2-244-24-2-244-2-2-2-2-2-2-2-4-4222-4-4200000000002222000000000000000000000000000000000000000000
χ56444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-21111111111110000000000000000000000000000000000
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-10000000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-2111111122222222000000−2i3−2i32i32i3-1-1-1-1i3i3i3i3−i3−i3−i3−i30000000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-21111111222222220000002i32i3−2i3−2i3-1-1-1-1−i3−i3−i3−i3i3i3i3i30000000000000000000000000000000000
χ604444-4-44-24-4-444-4-4-4-4-2-24-24-222-22222-2-2-2244-4-22-40000000000-2-222000000000000000000000000000000000000000000
χ614444-4-44-2-444-44-4-4-4-4-2-24-24-222-22222-2-22-2-4-442-24000000000022-2-2000000000000000000000000000000000000000000
χ624444-4-4-244-4-44-2222244-24-2-2-4-4-22222-2-24-4-2-224-420000000000-2-222000000000000000000000000000000000000000000
χ634444-4-4-2-24-4-44-22222-2-2-2-2-21221-1-1-1-111-22-2-22-222000000000011-1-133-3-3-3-3330000000000000000000000000000000000
χ644444-4-4-2-24-4-44-22222-2-2-2-2-21221-1-1-1-111-22-2-22-222000000000011-1-1-3-33333-3-30000000000000000000000000000000000
χ654444-4-4-2-2-444-4-22222-2-2-2-2-21221-1-1-1-1112-222-22-2-200−2i3−2i32i32i30000-1-111i3i3−i3−i3i3i3−i3−i30000000000000000000000000000000000
χ664444-4-4-2-2-444-4-22222-2-2-2-2-21221-1-1-1-1112-222-22-2-2002i32i3−2i3−2i30000-1-111−i3−i3i3i3−i3−i3i3i30000000000000000000000000000000000
χ6744-4-400440000400004-4-4-4-440040000-4-40000000000000000000000000000000022−22000022−2222−220000000000000000000000
χ6844-4-400440000400004-4-4-4-440040000-4-400000000000000000000000000000000−22220000−2222−22220000000000000000000000
χ6944-4-400-240000-2−2i32i3−2i32i34-42-42-200-2−2i32i3−2i32i3220000000000000000000000000000000022−22i6−i6i6−i6−22−220000000000000000000000
χ7044-4-400-240000-2−2i32i3−2i32i34-42-42-200-2−2i32i3−2i32i32200000000000000000000000000000000−2222−i6i6−i6i62−22−20000000000000000000000
χ7144-4-400-240000-22i3−2i32i3−2i34-42-42-200-22i3−2i32i3−2i3220000000000000000000000000000000022−22−i6i6−i6i6−22−220000000000000000000000
χ7244-4-400-240000-22i3−2i32i3−2i34-42-42-200-22i3−2i32i3−2i32200000000000000000000000000000000−2222i6−i6i6−i62−22−20000000000000000000000
χ734-44-400440000-40000-4-444-4400-40000-44000000000000000000000000000000−2i22i200−2i22i22i2−2i200000000000000000000000000
χ744-44-400440000-40000-4-444-4400-40000-440000000000000000000000000000002i2−2i2002i2−2i2−2i22i200000000000000000000000000
χ754-44-400-2400002−2i32i32i3−2i3-4-4-242-2002−2i32i32i3−2i32-2000000000000000000000000000000−2i22i200i2−i2−i2i26−6−660000000000000000000000
χ764-44-400-2400002−2i32i32i3−2i3-4-4-242-2002−2i32i32i3−2i32-20000000000000000000000000000002i2−2i200−i2i2i2−i2−666−60000000000000000000000
χ774-44-400-24000022i3−2i3−2i32i3-4-4-242-20022i3−2i3−2i32i32-2000000000000000000000000000000−2i22i200i2−i2−i2i2−666−60000000000000000000000
χ784-44-400-24000022i3−2i3−2i32i3-4-4-242-20022i3−2i3−2i32i32-20000000000000000000000000000002i2−2i200−i2i2i2−i26−6−660000000000000000000000
χ794-4-444-44-244-4-4-444-4-42-2-424-2-222-2-222-22-2-24-4-42240000000000-22-22000000000000000000000000000000000000000000
χ804-4-444-44-2-4-444-444-4-42-2-424-2-222-2-222-2222-444-2-2-400000000002-22-2000000000000000000000000000000000000000000
χ814-4-444-4-2444-4-42-2-222-442-4-2-24-42-2-222-2244-222-4-4-20000000000-22-22000000000000000000000000000000000000000000
χ824-4-444-4-2-244-4-42-2-2222-222-21-22-111-1-11-1-2-2-22222-200000000001-11-13i−3i3i−3i−3i3i−3i3i0000000000000000000000000000000000
χ834-4-444-4-2-244-4-42-2-2222-222-21-22-111-1-11-1-2-2-22222-200000000001-11-1−3i3i−3i3i3i−3i3i−3i0000000000000000000000000000000000
χ844-4-444-4-2-2-4-4442-2-2222-222-21-22-111-1-11-1222-2-2-2-220023−2323−230000-11-11−33−33−33−330000000000000000000000000000000000
χ854-4-444-4-2-2-4-4442-2-2222-222-21-22-111-1-11-1222-2-2-2-2200−2323−23230000-11-113−33−33−33−30000000000000000000000000000000000
χ864-4-44-44-24-44-44222-2-2-442-4-2-2-44222-2-2-22-442-224-4-200000000002-2-22000000000000000000000000000000000000000000
χ874-4-44-44-2-24-44-4222-2-22-222-212-2-1-1-1111-1-22-22-22-224i−4i−2i2i2i−2i−2i2i−2i2i1-1-11i−i−iii−i−ii0000000000000000000000000000000000
χ884-4-44-44-2-24-44-4222-2-22-222-212-2-1-1-1111-1-22-22-22-22−4i4i2i−2i−2i2i2i−2i2i−2i1-1-11−iii−i−iii−i0000000000000000000000000000000000
χ894-4-44-44-2-2-44-44222-2-22-222-212-2-1-1-1111-12-22-22-22-200000023−23−2323-111-1−333−33−3−330000000000000000000000000000000000
χ904-4-44-44-2-2-44-44222-2-22-222-212-2-1-1-1111-12-22-22-22-2000000−232323−23-111-13−3−33−333−30000000000000000000000000000000000
χ9188-8-8008-4000080000-44-84-8-400-40000440000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-4−4i34i3−4i34i3-4444420022i3−2i32i3−2i3-2-20000000000000000000000000000000000000000000000000000000000000000
χ9388-8-800-4-40000-44i3−4i34i3−4i3-444442002−2i32i3−2i32i3-2-20000000000000000000000000000000000000000000000000000000000000000
χ948-88-8008-40000-80000448-4-8-400400004-40000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-400004−4i34i34i3−4i344-4-44200-22i3−2i3−2i32i3-220000000000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-4000044i3−4i3−4i34i344-4-44200-2−2i32i32i3−2i3-220000000000000000000000000000000000000000000000000000000000000000

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