Finite Group Databasebeta

← Group #11793899

Character table — Group #11793899

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96
size1111222222222222222222444444444444444444888888888888888888888812121212121212121212121224242424242424242424242424242424242472727272
order12222233444466666666663666666666121212121212121222666666666666666612121212888824242424242424244488881212121224242424242424242488
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
χ51111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-111-1-1-1-1-1-11111-1-1-1-111-1-1
χ61111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-11111-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1111111-1-1
χ922222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-2000000000000002i−2i0000002i2i−2i−2i00000000
χ1022222222-2-2-2-222222222222222222222-2-2-2-2-2-2-2-2000000000000000000-2-2-2-200000000000000−2i2i000000−2i−2i2i2i00000000
χ112222222-1222222222-1-12-12-1-1-1-1-1-1-1-1-1-1222-1-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000022220000-1-1-1-1-1-1-1-10000
χ122222222-1222222222-1-12-12-1-1-1-1-1-1-1-1-1-1222-1-12-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-20000111111110000
χ132222222-1222222222-1-12-12-1-1-1-1-1-1-1-1-1-1222-1-12-1-1-2-2-2-2-2-2111111111111-1-1-1-10000000000000022-2-20000-1-1-1-111110000
χ142222222-1222222222-1-12-12-1-1-1-1-1-1-1-1-1-1222-1-12-1-1-2-2-2-2-2-2111111111111-1-1-1-100000000000000-2-22200001111-1-1-1-10000
χ152222222-1-2-2-2-222222-1-12-12-1-1-1-1-1-1-1-1-1-1-2-2-211-211000000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i31111000000000000002i−2i000000−i−iii33−3−30000
χ162222222-1-2-2-2-222222-1-12-12-1-1-1-1-1-1-1-1-1-1-2-2-211-211000000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3111100000000000000−2i2i000000ii−i−i−3−3330000
χ172222222-1-2-2-2-222222-1-12-12-1-1-1-1-1-1-1-1-1-1-2-2-211-211000000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i31111000000000000002i−2i000000−i−iii−3−3330000
χ182222222-1-2-2-2-222222-1-12-12-1-1-1-1-1-1-1-1-1-1-2-2-211-211000000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3111100000000000000−2i2i000000ii−i−i33−3−30000
χ19222222-122222-1-1-1-1-122-12-1-122-1-1-1-1-1-1-1-1-1-122-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000-1-1-1-1000000000000
χ20222222-122222-1-1-1-1-122-12-1-122-1-1-1-1-1-1-1-1-1-122-12222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-200001111000000000000
χ21222222-122222-1-1-1-1-122-12-1-122-1-1-1-1-1-1-1-1-1-122-122-2-21111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-200001111000000000000
χ22222222-122222-1-1-1-1-122-12-1-122-1-1-1-1-1-1-1-1-1-122-122-2-21111-2-2-2-211111111-1-1-1-1-2-2-2-211111111220000-1-1-1-1000000000000
χ232222-2-2222-2-222-2-2-2-2222222-2-222-2-2-2-2222-22-2-22-200000000000000000022-2-20000000000000000000000000000002-200
χ242222-2-2222-2-222-2-2-2-2222222-2-222-2-2-2-2222-22-2-22-200000000000000000022-2-2000000000000000000000000000000-2200
χ252222-2-222-222-22-2-2-2-2222222-2-222-2-2-2-22-2-22-222-22000000000000000000-2-22222-2-22222-2-2-2-20000000000000000000000
χ262222-2-222-222-22-2-2-2-2222222-2-222-2-2-2-22-2-22-222-22000000000000000000-2-222-2-222-2-2-2-222220000000000000000000000
χ272222-2-2-12-222-2-1111122-12-1-1-2-2-1-11111-111-1-22-1-2200−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i311-1-122-2-2-1-1-1-11111000000−i3−i3i3i3000000000000
χ282222-2-2-12-222-2-1111122-12-1-1-2-2-1-11111-111-1-22-1-2200−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i311-1-1-2-2221111-1-1-1-1000000i3i3−i3−i3000000000000
χ292222-2-2-12-222-2-1111122-12-1-1-2-2-1-11111-111-1-22-1-2200i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i311-1-122-2-2-1-1-1-11111000000i3i3−i3−i3000000000000
χ302222-2-2-12-222-2-1111122-12-1-1-2-2-1-11111-111-1-22-1-2200i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i311-1-1-2-2221111-1-1-1-1000000−i3−i3i3i3000000000000
χ312-2-222-22222-2-2-222-2-2-2-222-222-2-2-222-2-222-222-2-2-220000000000000000002-22-20000000000002i−2i00002i−2i2i−2i000000000000
χ322-2-222-22222-2-2-222-2-2-2-222-222-2-2-222-2-222-222-2-2-220000000000000000002-22-2000000000000−2i2i0000−2i2i−2i2i000000000000
χ332-2-222-222-2-222-222-2-2-2-222-222-2-2-222-2-22-22-2-2222-2000000000000000000-22-22000000000000000000000000000000002-2
χ342-2-222-222-2-222-222-2-2-2-222-222-2-2-222-2-22-22-2-2222-2000000000000000000-22-2200000000000000000000000000000000-22
χ352-2-222-2-1222-2-21-1-111-2-2-121-12-211-1-111-1-11-12-21-2200−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3-11-11000033−3−333−3−32i−2i0000−ii−ii000000000000
χ362-2-222-2-1222-2-21-1-111-2-2-121-12-211-1-111-1-11-12-21-2200−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3-11-110000−3−333−3−333−2i2i0000i−ii−i000000000000
χ372-2-222-2-1222-2-21-1-111-2-2-121-12-211-1-111-1-11-12-21-2200i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3-11-11000033−3−333−3−3−2i2i0000i−ii−i000000000000
χ382-2-222-2-1222-2-21-1-111-2-2-121-12-211-1-111-1-11-12-21-2200i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3-11-110000−3−333−3−3332i−2i0000−ii−ii000000000000
χ392-2-22-22222-22-2-2-2-222-2-222-22-22-2-2-2-22222-2-2222-2-20000000000000000002-2-2200000000000000002i−2i000000002i−2i2i−2i0000
χ402-2-22-22222-22-2-2-2-222-2-222-22-22-2-2-2-22222-2-2222-2-20000000000000000002-2-220000000000000000−2i2i00000000−2i2i−2i2i0000
χ412-2-22-2222-22-22-2-2-222-2-222-22-22-2-2-2-2222-222-2-2-2222-22-2-222-22-22-2-222-2-22-222-20000000000000000000000000000000000
χ422-2-22-2222-22-22-2-2-222-2-222-22-22-2-2-2-2222-222-2-2-222-22-222-2-22-22-222-2-222-2-222-20000000000000000000000000000000000
χ432-2-22-222-12-22-2-2-2-222112-1-2-11-11111-1-1-12-2-2-1-1211000000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3-111-100000000000000002i−2i00003−33−3−ii−ii0000
χ442-2-22-222-12-22-2-2-2-222112-1-2-11-11111-1-1-12-2-2-1-1211000000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i3-111-10000000000000000−2i2i0000−33−33i−ii−i0000
χ452-2-22-222-12-22-2-2-2-222112-1-2-11-11111-1-1-12-2-2-1-1211000000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3-111-100000000000000002i−2i0000−33−33−ii−ii0000
χ462-2-22-222-12-22-2-2-2-222112-1-2-11-11111-1-1-12-2-2-1-1211000000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i3-111-10000000000000000−2i2i00003−33−3i−ii−i0000
χ472-2-22-222-1-22-22-2-2-222112-1-2-11-11111-1-1-1-22211-2-1-12-22-2-22-11-11-111-1-111-11-1-110000000000000000000000−i3i3i3−i3−i3i3i3−i30000
χ482-2-22-222-1-22-22-2-2-222112-1-2-11-11111-1-1-1-22211-2-1-12-22-2-22-11-11-111-1-111-11-1-110000000000000000000000i3−i3−i3i3i3−i3−i3i30000
χ492-2-22-222-1-22-22-2-2-222112-1-2-11-11111-1-1-1-22211-2-1-1-22-222-21-11-11-1-111-1-111-1-110000000000000000000000−i3i3i3−i3i3−i3−i3i30000
χ502-2-22-222-1-22-22-2-2-222112-1-2-11-11111-1-1-1-22211-2-1-1-22-222-21-11-11-1-111-1-111-1-110000000000000000000000i3−i3−i3i3−i3i3i3−i30000
χ512-2-22-22-12-22-22111-1-1-2-2-121-1-221111-1-1-11-1-1-2-21222-2-111-12-22-2-111-1-111-11-1-11000033−3−3−3−3330000003−3−33000000000000
χ522-2-22-22-12-22-22111-1-1-2-2-121-1-221111-1-1-11-1-1-2-21222-2-111-12-22-2-111-1-111-11-1-110000−3−33333−3−3000000−333−3000000000000
χ532-2-22-22-12-22-22111-1-1-2-2-121-1-221111-1-1-11-1-1-2-2122-221-1-11-22-221-1-111-1-111-1-11000033−3−3−3−333000000−333−3000000000000
χ542-2-22-22-12-22-22111-1-1-2-2-121-1-221111-1-1-11-1-1-2-2122-221-1-11-22-221-1-111-1-111-1-110000−3−33333−3−30000003−3−33000000000000
χ55444444-24-4-4-4-4-2-2-2-2-244-24-2-244-2-2-2-2-2-2-2222-4-42-4-400000000000000000022220000000000000000000000000000000000
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
χ57444444-2-24444-2-2-2-2-2-2-2-2-2-21-2-21111111-2-2-2-2-2-2-2-2-4-422222222-1-1-1-1-1-1-1-111110000000000000000000000000000000000
χ58444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-2111111122222222000000−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i3-1-1-1-10000000000000000000000000000000000
χ59444444-2-2-4-4-4-4-2-2-2-2-2-2-2-2-2-21-2-21111111222222220000002i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i3-1-1-1-10000000000000000000000000000000000
χ604444-4-44-24-4-444-4-4-4-4-2-24-24-222-2-22222-244-4-22-4-22000000000000000000-2-2220000000000000000000000000000000000
χ614444-4-44-2-444-44-4-4-4-4-2-24-24-222-2-22222-2-4-442-242-200000000000000000022-2-20000000000000000000000000000000000
χ624444-4-4-244-4-44-2222244-24-2-2-4-4-2-22222-2-2-224-424-4000000000000000000-2-2220000000000000000000000000000000000
χ634444-4-4-2-24-4-44-22222-2-2-2-2-212211-1-1-1-11-2-22-222-22000000000033-3-3-3-33311-1-10000000000000000000000000000000000
χ644444-4-4-2-24-4-44-22222-2-2-2-2-212211-1-1-1-11-2-22-222-220000000000-3-33333-3-311-1-10000000000000000000000000000000000
χ654444-4-4-2-2-444-4-22222-2-2-2-2-212211-1-1-1-1122-22-2-22-200−2i3−2i32i32i30000i3i3−i3−i3i3i3−i3−i3-1-1110000000000000000000000000000000000
χ664444-4-4-2-2-444-4-22222-2-2-2-2-212211-1-1-1-1122-22-2-22-2002i32i3−2i3−2i30000−i3−i3i3i3−i3−i3i3i3-1-1110000000000000000000000000000000000
χ6744-4-400440000400004-4-4-4-44004-40000-400000000000000000000000000000000−2i22i20000−2i22i2−2i22i20000000000000000000000
χ6844-4-400440000400004-4-4-4-44004-40000-4000000000000000000000000000000002i2−2i200002i2−2i22i2−2i20000000000000000000000
χ6944-4-400-240000-2−2i32i3−2i32i34-42-42-200-22−2i32i3−2i32i3200000000000000000000000000000000−2i22i26−66−6i2−i2i2−i20000000000000000000000
χ7044-4-400-240000-2−2i32i3−2i32i34-42-42-200-22−2i32i3−2i32i32000000000000000000000000000000002i2−2i2−66−66−i2i2−i2i20000000000000000000000
χ7144-4-400-240000-22i3−2i32i3−2i34-42-42-200-222i3−2i32i3−2i3200000000000000000000000000000000−2i22i2−66−66i2−i2i2−i20000000000000000000000
χ7244-4-400-240000-22i3−2i32i3−2i34-42-42-200-222i3−2i32i3−2i32000000000000000000000000000000002i2−2i26−66−6−i2i2−i2i20000000000000000000000
χ734-44-400440000-40000-44-4-44400-440000-400000000000000000000000000000022−220022−22−222200000000000000000000000000
χ744-44-400440000-40000-44-4-44400-440000-4000000000000000000000000000000−222200−222222−2200000000000000000000000000
χ754-44-400-2400002−2i32i32i3−2i3-442-4-2-2002-2−2i32i32i3−2i3200000000000000000000000000000022−2200−222−2i6−i6−i6i60000000000000000000000
χ764-44-400-2400002−2i32i32i3−2i3-442-4-2-2002-2−2i32i32i3−2i32000000000000000000000000000000−2222002−2−22−i6i6i6−i60000000000000000000000
χ774-44-400-24000022i3−2i3−2i32i3-442-4-2-2002-22i3−2i3−2i32i3200000000000000000000000000000022−2200−222−2−i6i6i6−i60000000000000000000000
χ784-44-400-24000022i3−2i3−2i32i3-442-4-2-2002-22i3−2i3−2i32i32000000000000000000000000000000−2222002−2−22i6−i6−i6i60000000000000000000000
χ794-4-444-44-244-4-4-444-4-4224-2-4-2-2222-2-222-24-44-22-42-2000000000000000000-22-220000000000000000000000000000000000
χ804-4-444-44-2-4-444-444-4-4224-2-4-2-2222-2-222-2-44-42-24-220000000000000000002-22-20000000000000000000000000000000000
χ814-4-444-4-24-4-4442-2-222-4-4-242-24-422-2-222-22-22-44-24-40000000000000000002-22-20000000000000000000000000000000000
χ824-4-444-4-2-244-4-42-2-22222-2-221-22-1-111-1-11-22-2-2222-200−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i31-11-10000000000000000000000000000000000
χ834-4-444-4-2-244-4-42-2-22222-2-221-22-1-111-1-11-22-2-2222-2002i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i31-11-10000000000000000000000000000000000
χ844-4-444-4-2-2-4-4442-2-22222-2-221-22-1-111-1-112-222-2-2-2200000000003-33-3-33-33-11-110000000000000000000000000000000000
χ854-4-444-4-2-2-4-4442-2-22222-2-221-22-1-111-1-112-222-2-2-220000000000-33-333-33-3-11-110000000000000000000000000000000000
χ864-4-44-44-244-44-4222-2-2-4-4-242-2-442222-2-2-2-22244-2-4-4000000000000000000-222-20000000000000000000000000000000000
χ874-4-44-44-2-24-44-4222-2-222-2-2212-2-1-1-1-1111-222-2-2-222000000−2i32i32i3−2i3i3−i3−i3i3−i3i3i3−i31-1-110000000000000000000000000000000000
χ884-4-44-44-2-24-44-4222-2-222-2-2212-2-1-1-1-1111-222-2-2-2220000002i3−2i3−2i32i3−i3i3i3−i3i3−i3−i3i31-1-110000000000000000000000000000000000
χ894-4-44-44-2-2-44-44222-2-222-2-2212-2-1-1-1-11112-2-2222-2-24-4-222-2-22-221-1-111-1-11-111-10000000000000000000000000000000000
χ904-4-44-44-2-2-44-44222-2-222-2-2212-2-1-1-1-11112-2-2222-2-2-442-2-222-22-2-111-1-111-1-111-10000000000000000000000000000000000
χ9188-8-8008-4000080000-44-84-8-400-44000040000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-4−4i34i3−4i34i3-444442002-22i3−2i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000
χ9388-8-800-4-40000-44i3−4i34i3−4i3-444442002-2−2i32i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000
χ948-88-8008-40000-800004-4-848-4004-4000040000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-400004−4i34i34i3−4i34-444-4200-222i3−2i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-4000044i3−4i3−4i34i34-444-4200-22−2i32i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000

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