Finite Group Databasebeta

← Group #11792731

Character table — Group #11792731

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
χ112222222-12222222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1222-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-10000000000000022220000-1-1-1-1-1-1-1-10000
χ122222222-12222222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1222-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-100000000000000-2-2-2-20000111111110000
χ132222222-12222222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1222-1-12-2-2-2-2-2-2111111111111-1-1-1-10000000000000022-2-20000-1-1-1-111110000
χ142222222-12222222222-1-1-12-1-1-1-1-1-1-1-1-1-1-1-1222-1-12-2-2-2-2-2-2111111111111-1-1-1-100000000000000-2-22200001111-1-1-1-10000
χ152222222-1-2-2-2-2222222-1-1-12-1-1-1-1-1-1-1-1-1-111-2-2-211-2000000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i31111000000000000002i−2i000000−i−iii33−3−30000
χ162222222-1-2-2-2-2222222-1-1-12-1-1-1-1-1-1-1-1-1-111-2-2-211-2000000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3111100000000000000−2i2i000000ii−i−i−3−3330000
χ172222222-1-2-2-2-2222222-1-1-12-1-1-1-1-1-1-1-1-1-111-2-2-211-2000000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i31111000000000000002i−2i000000−i−iii−3−3330000
χ182222222-1-2-2-2-2222222-1-1-12-1-1-1-1-1-1-1-1-1-111-2-2-211-2000000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3111100000000000000−2i2i000000ii−i−i33−3−30000
χ19222222-122222-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-122-1-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1220000-1-1-1-1000000000000
χ20222222-122222-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-122-1-1-122-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-211111111-2-200001111000000000000
χ21222222-122222-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-122-1-1-122-1-2-21111-2-2-2-211111111-1-1-1-12222-1-1-1-1-1-1-1-1-2-200001111000000000000
χ22222222-122222-1-1-1-1-1-1222-1-122-1-1-1-1-1-1-122-1-1-122-1-2-21111-2-2-2-211111111-1-1-1-1-2-2-2-211111111220000-1-1-1-1000000000000
χ232222-2-22222-2-222-2-2-2-222222-2-222-2-2-2-222-22-2-22-2200000000000000000022-2-222-2-22222-2-2-2-20000000000000000000000
χ242222-2-22222-2-222-2-2-2-222222-2-222-2-2-2-222-22-2-22-2200000000000000000022-2-2-2-222-2-2-2-222220000000000000000000000
χ252222-2-222-2-22222-2-2-2-222222-2-222-2-2-2-22-22-222-22-2000000000000000000-2-2220000000000000000000000000000002-200
χ262222-2-222-2-22222-2-2-2-222222-2-222-2-2-2-22-22-222-22-2000000000000000000-2-222000000000000000000000000000000-2200
χ272222-2-2-1222-2-2-1-11111222-1-1-2-2-1-11111-12-2-1112-2-100−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3-1-11122-2-2-1-1-1-11111000000−i3−i3i3i3000000000000
χ282222-2-2-1222-2-2-1-11111222-1-1-2-2-1-11111-12-2-1112-2-100−i3−i3i3i30000−i3−i3i3i3−i3−i3i3i3-1-111-2-2221111-1-1-1-1000000i3i3−i3−i3000000000000
χ292222-2-2-1222-2-2-1-11111222-1-1-2-2-1-11111-12-2-1112-2-100i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3-1-11122-2-2-1-1-1-11111000000i3i3−i3−i3000000000000
χ302222-2-2-1222-2-2-1-11111222-1-1-2-2-1-11111-12-2-1112-2-100i3i3−i3−i30000i3i3−i3−i3i3i3−i3−i3-1-111-2-2221111-1-1-1-1000000−i3−i3i3i3000000000000
χ312-2-222-2222-22-2-2-222-2-2-2-22222-2-2-222-2-222-2-22-2-2220000000000000000002-22-20000000000002-200002-22-2000000000000
χ322-2-222-2222-22-2-2-222-2-2-2-22222-2-2-222-2-222-2-22-2-2220000000000000000002-22-2000000000000-220000-22-22000000000000
χ332-2-222-222-22-22-2-222-2-2-2-22222-2-2-222-2-22-222-222-2-2000000000000000000-22-22000000000000000000000000000000002-2
χ342-2-222-222-22-22-2-222-2-2-2-22222-2-2-222-2-22-222-222-2-2000000000000000000-22-2200000000000000000000000000000000-22
χ352-2-222-2-122-22-211-1-111-2-22-1-12-211-1-111-12-21-11-22-100−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3-11-110000−i3−i3i3i3−i3−i3i3i32-20000-11-11000000000000
χ362-2-222-2-122-22-211-1-111-2-22-1-12-211-1-111-12-21-11-22-100−i3i3−i3i30000−i3i3−i3i3−i3i3−i3i3-11-110000i3i3−i3−i3i3i3−i3−i3-2200001-11-1000000000000
χ372-2-222-2-122-22-211-1-111-2-22-1-12-211-1-111-12-21-11-22-100i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3-11-110000−i3−i3i3i3−i3−i3i3i3-2200001-11-1000000000000
χ382-2-222-2-122-22-211-1-111-2-22-1-12-211-1-111-12-21-11-22-100i3−i3i3−i30000i3−i3i3−i3i3−i3i3−i3-11-110000i3i3−i3−i3i3i3−i3−i32-20000-11-11000000000000
χ392-2-22-22222-2-22-2-2-2-222-2-2222-22-2-2-2-222222-2-22-2-222-22-2-222-22-22-2-222-2-222-2-220000000000000000000000000000000000
χ402-2-22-22222-2-22-2-2-2-222-2-2222-22-2-2-2-222222-2-22-2-22-22-222-2-22-22-222-2-222-22-2-220000000000000000000000000000000000
χ412-2-22-2222-222-2-2-2-2-222-2-2222-22-2-2-2-2222-2-222-222-2000000000000000000-222-200000000000000002-2000000002-22-20000
χ422-2-22-2222-222-2-2-2-2-222-2-2222-22-2-2-2-2222-2-222-222-2000000000000000000-222-20000000000000000-2200000000-22-220000
χ432-2-22-222-12-2-22-2-2-2-22211-12-11-11111-1-1-1-1-1-2-221122-22-2-22-11-11-111-1-111-1-111-100000000000000000000003−33−33−3−330000
χ442-2-22-222-12-2-22-2-2-2-22211-12-11-11111-1-1-1-1-1-2-221122-22-2-22-11-11-111-1-111-1-111-10000000000000000000000−33−33−333−30000
χ452-2-22-222-12-2-22-2-2-2-22211-12-11-11111-1-1-1-1-1-2-22112-22-222-21-11-11-1-111-1-11-111-100000000000000000000003−33−3−333−30000
χ462-2-22-222-12-2-22-2-2-2-22211-12-11-11111-1-1-1-1-1-2-22112-22-222-21-11-11-1-111-1-11-111-10000000000000000000000−33−333−3−330000
χ472-2-22-222-1-222-2-2-2-2-22211-12-11-11111-1-1-11122-2-1-1-2000000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i31-1-1100000000000000002-20000−i3i3i3−i3-11-110000
χ482-2-22-222-1-222-2-2-2-2-22211-12-11-11111-1-1-11122-2-1-1-2000000−i3i3i3−i3−i3i3i3−i3i3−i3−i3i31-1-110000000000000000-220000i3−i3−i3i31-11-10000
χ492-2-22-222-1-222-2-2-2-2-22211-12-11-11111-1-1-11122-2-1-1-2000000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i31-1-1100000000000000002-20000i3−i3−i3i3-11-110000
χ502-2-22-222-1-222-2-2-2-2-22211-12-11-11111-1-1-11122-2-1-1-2000000i3−i3−i3i3i3−i3−i3i3−i3i3i3−i31-1-110000000000000000-220000−i3i3i3−i31-11-10000
χ512-2-22-22-122-2-221111-1-1-2-22-1-1-221111-1-1-12211-1-2-2-12-2-111-12-22-2-111-1-111-1-111-10000−i3−i3i3i3i3i3−i3−i3000000−i3i3i3−i3000000000000
χ522-2-22-22-122-2-221111-1-1-2-22-1-1-221111-1-1-12211-1-2-2-12-2-111-12-22-2-111-1-111-1-111-10000i3i3−i3−i3−i3−i3i3i3000000i3−i3−i3i3000000000000
χ532-2-22-22-122-2-221111-1-1-2-22-1-1-221111-1-1-12211-1-2-2-1-221-1-11-22-221-1-111-1-11-111-10000−i3−i3i3i3i3i3−i3−i3000000i3−i3−i3i3000000000000
χ542-2-22-22-122-2-221111-1-1-2-22-1-1-221111-1-1-12211-1-2-2-1-221-1-11-22-221-1-111-1-11-111-10000i3i3−i3−i3−i3−i3i3i3000000−i3i3i3−i3000000000000
χ55444444-24-4-4-4-4-2-2-2-2-2-2444-2-244-2-2-2-2-2-2-2-4-4222-4-4200000000000000000022220000000000000000000000000000000000
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
χ604444-4-44-244-4-444-4-4-4-4-2-2-24-222-2-22222-2-224-4-4-224000000000000000000-2-2220000000000000000000000000000000000
χ614444-4-44-2-4-44444-4-4-4-4-2-2-24-222-2-22222-22-2-4442-2-400000000000000000022-2-20000000000000000000000000000000000
χ624444-4-4-24-4-444-2-22222444-2-2-4-4-2-22222-2-442-2-2-44200000000000000000022-2-20000000000000000000000000000000000
χ634444-4-4-2-244-4-4-2-22222-2-2-2-212211-1-1-1-11-22-222-22-200−2i3−2i32i32i30000i3i3−i3−i3i3i3−i3−i311-1-10000000000000000000000000000000000
χ644444-4-4-2-244-4-4-2-22222-2-2-2-212211-1-1-1-11-22-222-22-2002i32i3−2i3−2i30000−i3−i3i3i3−i3−i3i3i311-1-10000000000000000000000000000000000
χ654444-4-4-2-2-4-444-2-22222-2-2-2-212211-1-1-1-112-22-2-22-22000000000033-3-3-3-333-1-1110000000000000000000000000000000000
χ664444-4-4-2-2-4-444-2-22222-2-2-2-212211-1-1-1-112-22-2-22-220000000000-3-33333-3-3-1-1110000000000000000000000000000000000
χ6744-4-4004400004-400004-4-4-44004-40000-400000000000000000000000000000000−2i22i20000−2i22i2−2i22i20000000000000000000000
χ6844-4-4004400004-400004-4-4-44004-40000-4000000000000000000000000000000002i2−2i200002i2−2i22i2−2i20000000000000000000000
χ6944-4-400-240000-22−2i32i3−2i32i34-4-42-200-22−2i32i3−2i32i3200000000000000000000000000000000−2i22i26−66−6i2−i2i2−i20000000000000000000000
χ7044-4-400-240000-22−2i32i3−2i32i34-4-42-200-22−2i32i3−2i32i32000000000000000000000000000000002i2−2i2−66−66−i2i2−i2i20000000000000000000000
χ7144-4-400-240000-222i3−2i32i3−2i34-4-42-200-222i3−2i32i3−2i3200000000000000000000000000000000−2i22i2−66−66i2−i2i2−i20000000000000000000000
χ7244-4-400-240000-222i3−2i32i3−2i34-4-42-200-222i3−2i32i3−2i32000000000000000000000000000000002i2−2i26−66−6−i2i2−i2i20000000000000000000000
χ734-44-400440000-440000-44-4-4400-440000-4000000000000000000000000000000−2i22i200−2i22i22i2−2i200000000000000000000000000
χ744-44-400440000-440000-44-4-4400-440000-40000000000000000000000000000002i2−2i2002i2−2i2−2i22i200000000000000000000000000
χ754-44-400-2400002-2−2i32i32i3−2i3-44-42-2002-2−2i32i32i3−2i32000000000000000000000000000000−2i22i200i2−i2−i2i26−6−660000000000000000000000
χ764-44-400-2400002-2−2i32i32i3−2i3-44-42-2002-2−2i32i32i3−2i320000000000000000000000000000002i2−2i200−i2i2i2−i2−666−60000000000000000000000
χ774-44-400-2400002-22i3−2i3−2i32i3-44-42-2002-22i3−2i3−2i32i32000000000000000000000000000000−2i22i200i2−i2−i2i2−666−60000000000000000000000
χ784-44-400-2400002-22i3−2i3−2i32i3-44-42-2002-22i3−2i3−2i32i320000000000000000000000000000002i2−2i200−i2i2i2−i26−6−660000000000000000000000
χ794-4-444-44-24-44-4-4-444-4-422-24-2-2222-2-222-2-22-44-42-24000000000000000000-22-220000000000000000000000000000000000
χ804-4-444-44-2-44-44-4-444-4-422-24-2-2222-2-222-22-24-44-22-40000000000000000002-22-20000000000000000000000000000000000
χ814-4-444-4-24-44-4422-2-222-4-44-2-24-422-2-222-2-44-22-24-420000000000000000002-22-20000000000000000000000000000000000
χ824-4-444-4-2-24-44-422-2-22222-2-21-22-1-111-1-11-222-222-2-200−2i32i3−2i32i30000i3−i3i3−i3i3−i3i3−i31-11-10000000000000000000000000000000000
χ834-4-444-4-2-24-44-422-2-22222-2-21-22-1-111-1-11-222-222-2-2002i3−2i32i3−2i30000−i3i3−i3i3−i3i3−i3i31-11-10000000000000000000000000000000000
χ844-4-444-4-2-2-44-4422-2-22222-2-21-22-1-111-1-112-2-22-2-22200000000003-33-3-33-33-11-110000000000000000000000000000000000
χ854-4-444-4-2-2-44-4422-2-22222-2-21-22-1-111-1-112-2-22-2-2220000000000-33-333-33-3-11-110000000000000000000000000000000000
χ864-4-44-44-24-444-42222-2-2-4-44-2-2-442222-2-2-2-4-4-2-224420000000000000000002-2-220000000000000000000000000000000000
χ874-4-44-44-2-24-4-442222-2-222-2-212-2-1-1-1-1111-2-222-222-24-4-222-2-22-221-1-111-1-111-1-110000000000000000000000000000000000
χ884-4-44-44-2-24-4-442222-2-222-2-212-2-1-1-1-1111-2-222-222-2-442-2-222-22-2-111-1-111-11-1-110000000000000000000000000000000000
χ894-4-44-44-2-2-444-42222-2-222-2-212-2-1-1-1-111122-2-22-2-22000000−2i32i32i3−2i3i3−i3−i3i3−i3i3i3−i3-111-10000000000000000000000000000000000
χ904-4-44-44-2-2-444-42222-2-222-2-212-2-1-1-1-111122-2-22-2-220000002i3−2i3−2i32i3−i3i3i3−i3i3−i3−i3i3-111-10000000000000000000000000000000000
χ9188-8-8008-400008-80000-444-8-400-44000040000000000000000000000000000000000000000000000000000000000000000
χ9288-8-800-4-40000-44−4i34i3−4i34i3-44442002-22i3−2i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000
χ9388-8-800-4-40000-444i3−4i34i3−4i3-44442002-2−2i32i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000
χ948-88-8008-40000-8800004-44-8-4004-4000040000000000000000000000000000000000000000000000000000000000000000
χ958-88-800-4-400004-4−4i34i34i3−4i34-444200-222i3−2i3−2i32i3-20000000000000000000000000000000000000000000000000000000000000000
χ968-88-800-4-400004-44i3−4i3−4i34i34-444200-22−2i32i32i3−2i3-20000000000000000000000000000000000000000000000000000000000000000

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