Finite Group Databasebeta

← Group #11867883

Character table — Group #11867883

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87C88C89C90C91C92C93C94C95C96C97C98C99C100C101C102
size112222222224444444446688888888888121212121212122424242424242424363672112222222224444444446688888888888121212121212122424242424242424363672
order12233446666366661212121288412121212121212121212888242424242668242424242482226644666666666121212128841212121212121212121288824242424266824242424248
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-11111111111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1
χ31111111111111111111111-1-1-1-1-111-1-1-1-11111111-1-1-1-111-1-111-11111111111111111111111-1-1-1-1-111-1-1-1-11111111-1-1-1-111-1-111-1
χ41111111111111111111111-1-1-1-1-111-1-1-1-11-1-11111-1-1-11-1-111-1-111111111111111111111111-1-1-1-1-111-1-1-1-11-1-11111-1-1-11-1-111-1-11
χ511111111111111111111-1-111111111111-111-1-1-1-1-1-1-111111-1-1-111111111111111111111-1-111111111111-111-1-1-1-1-1-1-111111-1-1-1
χ611111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111
χ711111111111111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1111-111-1-1-1-1111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1111-111-1-1-1-11
χ811111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-111111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1
χ922222-2-2222222222-2-2-2-20000000-2-2000002i−2i000000002i−2i0000022222-2-2222222222-2-2-2-20000000-2-2000002i−2i000000002i−2i00000
χ1022222-2-2222222222-2-2-2-20000000-2-200000−2i2i00000000−2i2i0000022222-2-2222222222-2-2-2-20000000-2-200000−2i2i00000000−2i2i00000
χ112222-122-1-12-1-12-1-1-1-122-122222-1-1-1-1-1-1-1-1200-1-1-1-12-1-1000000002222-122-1-12-1-12-1-1-1-122-122222-1-1-1-1-1-1-1-1200-1-1-1-12-1-100000000
χ122222-122-1-12-1-12-1-1-1-122-122-2-2-211-1-11111200-1-1-1-1-211000000002222-122-1-12-1-12-1-1-1-122-122-2-2-211-1-11111200-1-1-1-1-21100000000
χ132222-122-1-12-1-12-1-1-1-122-1-2-2222-1-1-1-1-1-1-1-1-2001111-211000000002222-122-1-12-1-12-1-1-1-122-1-2-2222-1-1-1-1-1-1-1-1-2001111-21100000000
χ142222-122-1-12-1-12-1-1-1-122-1-2-2-2-2-211-1-11111-20011112-1-1000000002222-122-1-12-1-12-1-1-1-122-1-2-2-2-2-211-1-11111-20011112-1-100000000
χ15222-122222-12-1-1-1-1-12-1-12002-1-122-1-1-1-1-1-102200000002-1-1-1-1000222-122222-12-1-1-1-1-12-1-12002-1-122-1-1-1-1-1-102200000002-1-1-1-1000
χ16222-122222-12-1-1-1-1-12-1-12002-1-122-1-1-1-1-1-10-2-20000000-21111000222-122222-12-1-1-1-1-12-1-12002-1-122-1-1-1-1-1-10-2-20000000-21111000
χ17222-122222-12-1-1-1-1-12-1-1200-211-2-2-1-111110220000000-2-1-111000222-122222-12-1-1-1-1-12-1-1200-211-2-2-1-111110220000000-2-1-111000
χ18222-122222-12-1-1-1-1-12-1-1200-211-2-2-1-111110-2-20000000211-1-1000222-122222-12-1-1-1-1-12-1-1200-211-2-2-1-111110-2-20000000211-1-1000
χ19222-12-2-222-12-1-1-1-1-1-211-2000−i3i30011−i3−i3i3i302i−2i00000000−ii3−3000222-12-2-222-12-1-1-1-1-1-211-2000−i3i30011−i3−i3i3i302i−2i00000000−ii3−3000
χ20222-12-2-222-12-1-1-1-1-1-211-2000−i3i30011−i3−i3i3i30−2i2i00000000i−i−33000222-12-2-222-12-1-1-1-1-1-211-2000−i3i30011−i3−i3i3i30−2i2i00000000i−i−33000
χ21222-12-2-222-12-1-1-1-1-1-211-2000i3−i30011i3i3−i3−i302i−2i00000000−ii−33000222-12-2-222-12-1-1-1-1-1-211-2000i3−i30011i3i3−i3−i302i−2i00000000−ii−33000
χ22222-12-2-222-12-1-1-1-1-1-211-2000i3−i30011i3i3−i3−i30−2i2i00000000i−i3−3000222-12-2-222-12-1-1-1-1-1-211-2000i3−i30011i3i3−i3−i30−2i2i00000000i−i3−3000
χ2322-2222-2-2-2222-2-2-22-22-2222000002-20000-20022-2-20000000000022-2222-2-2-2222-2-2-22-22-2222000002-20000-20022-2-200000000000
χ2422-2222-2-2-2222-2-2-22-22-22-2-2000002-20000200-2-2220000000000022-2222-2-2-2222-2-2-22-22-22-2-2000002-20000200-2-22200000000000
χ2522-222-22-2-2222-2-2-222-22-20000000-2200000000000000000002-2022-222-22-2-2222-2-2-222-22-20000000-2200000000000000000002-20
χ2622-222-22-2-2222-2-2-222-22-20000000-220000000000000000000-22022-222-22-2-2222-2-2-222-22-20000000-220000000000000000000-220
χ2722-22-12-2112-1-1-211-112-2-122000−i3i3-11−i3i3−i3i3-200-1-1110−i3i30000000022-22-12-2112-1-1-211-112-2-122000−i3i3-11−i3i3−i3i3-200-1-1110−i3i300000000
χ2822-22-12-2112-1-1-211-112-2-122000i3−i3-11i3−i3i3−i3-200-1-1110i3−i30000000022-22-12-2112-1-1-211-112-2-122000i3−i3-11i3−i3i3−i3-200-1-1110i3−i300000000
χ2922-22-12-2112-1-1-211-112-2-1-2-2000−i3i3-11−i3i3−i3i320011-1-10i3−i30000000022-22-12-2112-1-1-211-112-2-1-2-2000−i3i3-11−i3i3−i3i320011-1-10i3−i300000000
χ3022-22-12-2112-1-1-211-112-2-1-2-2000i3−i3-11i3−i3i3−i320011-1-10−i3i30000000022-22-12-2112-1-1-211-112-2-1-2-2000i3−i3-11i3−i3i3−i320011-1-10−i3i300000000
χ314444-2-4-4-2-24-2-24-2-2-22-4-4200000002200000000000000000000004444-2-4-4-2-24-2-24-2-2-22-4-420000000220000000000000000000000
χ32444-2-244-2-2-2-21-2111-2-2-2-2004-2-2-2-2111111000000000000000000444-2-244-2-2-2-21-2111-2-2-2-2004-2-2-2-2111111000000000000000000
χ33444-2-244-2-2-2-21-2111-2-2-2-200-4222211-1-1-1-1000000000000000000444-2-244-2-2-2-21-2111-2-2-2-200-4222211-1-1-1-1000000000000000000
χ34444-2-2-4-4-2-2-2-21-21112222000−2i32i300-1-1i3i3−i3−i3000000000000000000444-2-2-4-4-2-2-2-21-21112222000−2i32i300-1-1i3i3−i3−i3000000000000000000
χ35444-2-2-4-4-2-2-2-21-211122220002i3−2i300-1-1−i3−i3i3i3000000000000000000444-2-2-4-4-2-2-2-21-211122220002i3−2i300-1-1−i3−i3i3i3000000000000000000
χ3644-44-2-44224-2-2-422-2-2-44200000002-2000000000000000000000044-44-2-44224-2-2-422-2-2-44200000002-20000000000000000000000
χ3744-4-244-4-4-4-24-2222-2-4-2240000000-22000000000000000000000044-4-244-4-4-4-24-2222-2-4-2240000000-220000000000000000000000
χ3844-4-24-44-4-4-24-2222-242-2-400000002-2000000000000000000000044-4-24-44-4-4-24-2222-242-2-400000002-20000000000000000000000
χ3944-4-2-24-422-2-212-1-112-22-200000−2i32i31-1i3−i3i3−i300000000000000000044-4-2-24-422-2-212-1-112-22-200000−2i32i31-1i3−i3i3−i3000000000000000000
χ4044-4-2-24-422-2-212-1-112-22-2000002i3−2i31-1−i3i3−i3i300000000000000000044-4-2-24-422-2-212-1-112-22-2000002i3−2i31-1−i3i3−i3i3000000000000000000
χ4144-4-2-2-4422-2-212-1-11-22-220000000-113-3-3300000000000000000044-4-2-2-4422-2-212-1-11-22-220000000-113-3-33000000000000000000
χ4244-4-2-2-4422-2-212-1-11-22-220000000-11-333-300000000000000000044-4-2-2-4422-2-212-1-11-22-220000000-11-333-3000000000000000000
χ434-40440000-4-44000-40000−2i22i200000000000000−2i22i200000000000004-40440000-4-44000-40000−2i22i200000000000000−2i22i20000000000000
χ444-40440000-4-44000-400002i2−2i2000000000000002i2−2i200000000000004-40440000-4-44000-400002i2−2i2000000000000002i2−2i20000000000000
χ454-404-200−2i32i3-42-20−2i32i320000−2i22i200000000000000i2−i26−6000000000004-404-200−2i32i3-42-20−2i32i320000−2i22i200000000000000i2−i26−600000000000
χ464-404-200−2i32i3-42-20−2i32i3200002i2−2i200000000000000−i2i2−66000000000004-404-200−2i32i3-42-20−2i32i3200002i2−2i200000000000000−i2i2−6600000000000
χ474-404-2002i3−2i3-42-202i3−2i320000−2i22i200000000000000i2−i2−66000000000004-404-2002i3−2i3-42-202i3−2i320000−2i22i200000000000000i2−i2−6600000000000
χ484-404-2002i3−2i3-42-202i3−2i3200002i2−2i200000000000000−i2i26−6000000000004-404-2002i3−2i3-42-202i3−2i3200002i2−2i200000000000000−i2i26−600000000000
χ498-80-4800004-8-40004000000000000000000000000000000000008-80-4800004-8-4000400000000000000000000000000000000000
χ508-80-4-400−4i34i344202i3−2i3-2000000000000000000000000000000000008-80-4-400−4i34i344202i3−2i3-200000000000000000000000000000000000
χ518-80-4-4004i3−4i34420−2i32i3-2000000000000000000000000000000000008-80-4-4004i3−4i34420−2i32i3-200000000000000000000000000000000000
χ52111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1
χ531111111111111111111111111111111111-1-11111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-111111111
χ541111111111111111111111-1-1-1-1-111-1-1-1-11111111-1-1-1-111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-1-1-1-1-1-1-11111-1-111-1-11
χ551111111111111111111111-1-1-1-1-111-1-1-1-11-1-11111-1-1-11-1-111-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111-1-11111-111-1-1-1-1111-111-1-111-1
χ5611111111111111111111-1-111111111111-111-1-1-1-1-1-1-111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11-1-11111111-1-1-1-1-1111
χ5711111111111111111111-1-111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1111111111111111-1-1-1
χ5811111111111111111111-1-1-1-1-1-1-111-1-1-1-1-111-1-1-1-1111-111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111-1-11111-1-1-11-1-11111-1
χ5911111111111111111111-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111111-1-111111111111-1-1-1-111-1-1-1-11
χ6022222-2-2222222222-2-2-2-20000000-2-2000002i−2i000000002i−2i00000-2-2-2-2-222-2-2-2-2-2-2-2-2-2222200000002200000−2i2i00000000−2i2i00000
χ6122222-2-2222222222-2-2-2-20000000-2-200000−2i2i00000000−2i2i00000-2-2-2-2-222-2-2-2-2-2-2-2-2-22222000000022000002i−2i000000002i−2i00000
χ622222-122-1-12-1-12-1-1-1-122-122222-1-1-1-1-1-1-1-1200-1-1-1-12-1-100000000-2-2-2-21-2-211-211-21111-2-21-2-2-2-2-211111111-2001111-21100000000
χ632222-122-1-12-1-12-1-1-1-122-122-2-2-211-1-11111200-1-1-1-1-21100000000-2-2-2-21-2-211-211-21111-2-21-2-2222-1-111-1-1-1-1-20011112-1-100000000
χ642222-122-1-12-1-12-1-1-1-122-1-2-2222-1-1-1-1-1-1-1-1-2001111-21100000000-2-2-2-21-2-211-211-21111-2-2122-2-2-211111111200-1-1-1-12-1-100000000
χ652222-122-1-12-1-12-1-1-1-122-1-2-2-2-2-211-1-11111-20011112-1-100000000-2-2-2-21-2-211-211-21111-2-2122222-1-111-1-1-1-1200-1-1-1-1-21100000000
χ66222-122222-12-1-1-1-1-12-1-12002-1-122-1-1-1-1-1-102200000002-1-1-1-1000-2-2-21-2-2-2-2-21-211111-211-200-211-2-21111110-2-20000000-21111000
χ67222-122222-12-1-1-1-1-12-1-12002-1-122-1-1-1-1-1-10-2-20000000-21111000-2-2-21-2-2-2-2-21-211111-211-200-211-2-211111102200000002-1-1-1-1000
χ68222-122222-12-1-1-1-1-12-1-1200-211-2-2-1-111110220000000-2-1-111000-2-2-21-2-2-2-2-21-211111-211-2002-1-12211-1-1-1-10-2-20000000211-1-1000
χ69222-122222-12-1-1-1-1-12-1-1200-211-2-2-1-111110-2-20000000211-1-1000-2-2-21-2-2-2-2-21-211111-211-2002-1-12211-1-1-1-10220000000-2-1-111000
χ70222-12-2-222-12-1-1-1-1-1-211-2000−i3i30011−i3−i3i3i302i−2i00000000−ii3−3000-2-2-21-222-2-21-2111112-1-12000i3−i300-1-1i3i3−i3−i30−2i2i00000000i−i−33000
χ71222-12-2-222-12-1-1-1-1-1-211-2000−i3i30011−i3−i3i3i30−2i2i00000000i−i−33000-2-2-21-222-2-21-2111112-1-12000i3−i300-1-1i3i3−i3−i302i−2i00000000−ii3−3000
χ72222-12-2-222-12-1-1-1-1-1-211-2000i3−i30011i3i3−i3−i302i−2i00000000−ii−33000-2-2-21-222-2-21-2111112-1-12000−i3i300-1-1−i3−i3i3i30−2i2i00000000i−i3−3000
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χ7422-2222-2-2-2222-2-2-22-22-2222000002-20000-20022-2-200000000000-2-22-2-2-2222-2-2-2222-22-22-2-2-200000-220000200-2-22200000000000
χ7522-2222-2-2-2222-2-2-22-22-22-2-2000002-20000200-2-22200000000000-2-22-2-2-2222-2-2-2222-22-22-22200000-220000-20022-2-200000000000
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χ8022-22-12-2112-1-1-211-112-2-1-2-2000−i3i3-11−i3i3−i3i320011-1-10i3−i300000000-2-22-21-22-1-1-2112-1-11-1-22122000i3−i31-1i3−i3i3−i3-200-1-1110−i3i300000000
χ8122-22-12-2112-1-1-211-112-2-1-2-2000i3−i3-11i3−i3i3−i320011-1-10−i3i300000000-2-22-21-22-1-1-2112-1-11-1-22122000−i3i31-1−i3i3−i3i3-200-1-1110i3−i300000000
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χ86444-2-2-4-4-2-2-2-21-211122220002i3−2i300-1-1−i3−i3i3i3000000000000000000-4-4-422442222-12-1-1-1-2-2-2-2000−2i32i30011i3i3−i3−i3000000000000000000
χ8744-44-2-44224-2-2-422-2-2-44200000002-20000000000000000000000-4-44-424-4-2-2-4224-2-2224-4-20000000-220000000000000000000000
χ8844-4-244-4-4-4-24-2222-2-4-2240000000-220000000000000000000000-4-442-4-44442-42-2-2-2242-2-400000002-20000000000000000000000
χ8944-4-24-44-4-4-24-2222-242-2-400000002-20000000000000000000000-4-442-44-4442-42-2-2-22-4-2240000000-220000000000000000000000
χ9044-4-2-24-422-2-212-1-112-22-200000−2i32i31-1i3−i3i3−i3000000000000000000-4-4422-44-2-222-1-211-1-22-22000002i3−2i3-11−i3i3−i3i3000000000000000000
χ9144-4-2-24-422-2-212-1-112-22-2000002i3−2i31-1−i3i3−i3i3000000000000000000-4-4422-44-2-222-1-211-1-22-2200000−2i32i3-11i3−i3i3−i3000000000000000000
χ9244-4-2-2-4422-2-212-1-11-22-220000000-113-3-33000000000000000000-4-44224-4-2-222-1-211-12-22-200000001-1-333-3000000000000000000
χ9344-4-2-2-4422-2-212-1-11-22-220000000-11-333-3000000000000000000-4-44224-4-2-222-1-211-12-22-200000001-13-3-33000000000000000000
χ944-40440000-4-44000-40000−2i22i200000000000000−2i22i20000000000000-440-4-4000044-4000400002i2−2i2000000000000002i2−2i20000000000000
χ954-40440000-4-44000-400002i2−2i2000000000000002i2−2i20000000000000-440-4-4000044-400040000−2i22i200000000000000−2i22i20000000000000
χ964-404-200−2i32i3-42-20−2i32i320000−2i22i200000000000000i2−i26−600000000000-440-42002i3−2i34-2202i3−2i3-200002i2−2i200000000000000−i2i2−6600000000000
χ974-404-200−2i32i3-42-20−2i32i3200002i2−2i200000000000000−i2i2−6600000000000-440-42002i3−2i34-2202i3−2i3-20000−2i22i200000000000000i2−i26−600000000000
χ984-404-2002i3−2i3-42-202i3−2i320000−2i22i200000000000000i2−i2−6600000000000-440-4200−2i32i34-220−2i32i3-200002i2−2i200000000000000−i2i26−600000000000
χ994-404-2002i3−2i3-42-202i3−2i3200002i2−2i200000000000000−i2i26−600000000000-440-4200−2i32i34-220−2i32i3-20000−2i22i200000000000000i2−i2−6600000000000
χ1008-80-4800004-8-4000400000000000000000000000000000000000-8804-80000-484000-400000000000000000000000000000000000
χ1018-80-4-400−4i34i344202i3−2i3-200000000000000000000000000000000000-88044004i3−4i3-4-4-20−2i32i3200000000000000000000000000000000000
χ1028-80-4-4004i3−4i34420−2i32i3-200000000000000000000000000000000000-8804400−4i34i3-4-4-202i3−2i3200000000000000000000000000000000000

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