Finite Group Databasebeta

← Group #11792363

Character table — Group #11792363

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order122223344446666121236666666612121212121212121212122466666666661212121212121212121244444488121212121212121212121212242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-1111111-1-1-1-1-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1
χ411111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ51111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-1-111
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-111-1-1-1-11111-1-1-1-11111-1-111
χ81111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111111111-1-1
χ92222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-20000002200000000-2-20000002-20000000022-2-2000000000000
χ102222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-20000002200000000-2-2000000-2200000000-2-222000000000000
χ11222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-122222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1002222000000-1-1-1-1-1-1-1-100000000
χ12222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-122222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-100-2-2-2-20000001111111100000000
χ13222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-211-1-1111111-2-2-1-111110022-2-2000000-1-1-1-1111100000000
χ14222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-211-1-1111111-2-2-1-1111100-2-2220000001111-1-1-1-100000000
χ15222222-1-2-2-2-222-1211-122-1-1-1-1-1-1111-2-2-21111-20000−i3i3-1-1−i3−i3i3i3−i3i30011−i3−i3i3i3002-200000000-1-111−i3−i3i3i300000000
χ16222222-1-2-2-2-222-1211-122-1-1-1-1-1-1111-2-2-21111-20000−i3i3-1-1−i3−i3i3i3−i3i30011−i3−i3i3i300-220000000011-1-1i3i3−i3−i300000000
χ17222222-1-2-2-2-222-1211-122-1-1-1-1-1-1111-2-2-21111-20000i3−i3-1-1i3i3−i3−i3i3−i30011i3i3−i3−i3002-200000000-1-111i3i3−i3−i300000000
χ18222222-1-2-2-2-222-1211-122-1-1-1-1-1-1111-2-2-21111-20000i3−i3-1-1i3i3−i3−i3i3−i30011i3i3−i3−i300-220000000011-1-1−i3−i3i3i300000000
χ1922222-122222-1-12-122-1-1-12-1-1-122222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-122000022-1-1-1-100000000-1-1-1-10000
χ2022222-122222-1-12-122-1-1-12-1-1-122222-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-1-2-20000-2-211110000000011110000
χ2122222-122222-1-12-122-1-1-12-1-1-122222-1-1-1-1-1-1-1-1-2-211-2-2-1-11111-2-211-1-11111220000-2-2-1-1-1-10000000011110000
χ2222222-122222-1-12-122-1-1-12-1-1-122222-1-1-1-1-1-1-1-1-2-211-2-2-1-11111-2-211-1-11111-2-2000022111100000000-1-1-1-10000
χ23222-2-22222-2-22222222-2-22222-2-22-2-222-22222-2000000-2-200000000-2-2000000002i−2i00000000002i−2i2i−2i00000000
χ24222-2-22222-2-22222222-2-22222-2-22-2-222-22222-2000000-2-200000000-2-200000000−2i2i0000000000−2i2i−2i2i00000000
χ25222-2-222-2-2222222-2-22-2-22222-2-2-222-2-22-2-2-2-222-22222-2-22222-2-2-2-222-2-2-2-20000000000000000000000000000
χ26222-2-222-2-2222222-2-22-2-22222-2-2-222-2-22-2-2-2-22-22-2-2-2-2-2-2-2-2-2-222222222220000000000000000000000000000
χ27222-2-22-122-2-222-12-1-1-1-2-2-1-1-1-111-11122-2-1-1-1-1-20000−i3i311−i3−i3i3i3i3−i30011i3i3−i3−i300002i−2i0000003−33−3−ii−ii00000000
χ28222-2-22-122-2-222-12-1-1-1-2-2-1-1-1-111-11122-2-1-1-1-1-20000−i3i311−i3−i3i3i3i3−i30011i3i3−i3−i30000−2i2i000000−33−33i−ii−i00000000
χ29222-2-22-122-2-222-12-1-1-1-2-2-1-1-1-111-11122-2-1-1-1-1-20000i3−i311i3i3−i3−i3−i3i30011−i3−i3i3i300002i−2i000000−33−33−ii−ii00000000
χ30222-2-22-122-2-222-12-1-1-1-2-2-1-1-1-111-11122-2-1-1-1-1-20000i3−i311i3i3−i3−i3−i3i30011−i3−i3i3i30000−2i2i0000003−33−3i−ii−i00000000
χ31222-2-22-1-2-22222-1211-1-2-2-1-1-1-1111-1-1-2-22111122-222-1-111-1-1-1-111-2-2-1-111110000000000003−3−333−3−3300000000
χ32222-2-22-1-2-22222-1211-1-2-2-1-1-1-1111-1-1-2-22111122-222-1-111-1-1-1-111-2-2-1-11111000000000000−333−3−333−300000000
χ33222-2-22-1-2-22222-1211-1-2-2-1-1-1-1111-1-1-2-2211112-22-2-211111111-1-122-1-1-1-1-1-10000000000003−3−33−333−300000000
χ34222-2-22-1-2-22222-1211-1-2-2-1-1-1-1111-1-1-2-2211112-22-2-211111111-1-122-1-1-1-1-1-1000000000000−333−33−3−3300000000
χ35222-2-2-12-2-222-1-12-1-2-2-1112-1-1-1-2-2-22211-11111-12-2-1-12211-1-1-1-1-2-211-1-1111100000000−i3−i3i3i300000000−i3−i3i3i30000
χ36222-2-2-12-2-222-1-12-1-2-2-1112-1-1-1-2-2-22211-11111-12-2-1-12211-1-1-1-1-2-211-1-1111100000000i3i3−i3−i300000000i3i3−i3−i30000
χ37222-2-2-12-2-222-1-12-1-2-2-1112-1-1-1-2-2-22211-11111-1-2211-2-211111122-1-1-1-1-1-1-1-100000000−i3−i3i3i300000000i3i3−i3−i30000
χ38222-2-2-12-2-222-1-12-1-2-2-1112-1-1-1-2-2-22211-11111-1-2211-2-211111122-1-1-1-1-1-1-1-100000000i3i3−i3−i300000000−i3−i3i3i30000
χ3922-22-2222-22-2-2-2222222-2-2-2-222-2-22-22-2-222-2-220000002-2000000002-200000000002-20000000000002-22-20000
χ4022-22-2222-22-2-2-2222222-2-2-2-222-2-22-22-2-222-2-220000002-2000000002-20000000000-22000000000000-22-220000
χ4122-22-222-22-22-2-222-2-222-2-2-2-222-22-22-222-2-222-20000002-200000000-220000000000000000000000000000002-2
χ4222-22-222-22-22-2-222-2-222-2-2-2-222-22-22-222-2-222-20000002-200000000-22000000000000000000000000000000-22
χ4322-22-2-122-22-2112-122-1-11-211-12-2-22-2-111-1-111-100−i3i300-11−i3i3−i3i300−i3i3-11−i3i3−i3i30000002-2−i3i3−i3i300000000-11-110000
χ4422-22-2-122-22-2112-122-1-11-211-12-2-22-2-111-1-111-100−i3i300-11−i3i3−i3i300−i3i3-11−i3i3−i3i3000000-22i3−i3i3−i3000000001-11-10000
χ4522-22-2-122-22-2112-122-1-11-211-12-2-22-2-111-1-111-100i3−i300-11i3−i3i3−i300i3−i3-11i3−i3i3−i30000002-2i3−i3i3−i300000000-11-110000
χ4622-22-2-122-22-2112-122-1-11-211-12-2-22-2-111-1-111-100i3−i300-11i3−i3i3−i300i3−i3-11i3−i3i3−i3000000-22−i3i3−i3i3000000001-11-10000
χ4722-2-22222-2-22-2-222222-22-2-2-22-22-2-222-2222-2-2-2000000-2200000000-2200000000000000000000000000002-200
χ4822-2-22222-2-22-2-222222-22-2-2-22-22-2-222-2222-2-2-2000000-2200000000-220000000000000000000000000000-2200
χ4922-2-2222-222-2-2-222-2-22-22-2-2-22-2222-2-22-2-2-2222000000-22000000002-200002-20000002-2-220000000000000000
χ5022-2-2222-222-2-2-222-2-22-22-2-2-22-2222-2-22-2-2-2222000000-22000000002-20000-22000000-222-20000000000000000
χ5122-2-22-12-222-2112-1-2-2-11-1-211-1-2222-21-1111-1-1-100−i3i3001-1−i3i3−i3i300i3−i3-11i3−i3i3−i32-2000000-111-100000000−i3i3i3−i30000
χ5222-2-22-12-222-2112-1-2-2-11-1-211-1-2222-21-1111-1-1-100−i3i3001-1−i3i3−i3i300i3−i3-11i3−i3i3−i3-220000001-1-1100000000i3−i3−i3i30000
χ5322-2-22-12-222-2112-1-2-2-11-1-211-1-2222-21-1111-1-1-100i3−i3001-1i3−i3i3−i300−i3i3-11−i3i3−i3i32-2000000-111-100000000i3−i3−i3i30000
χ5422-2-22-12-222-2112-1-2-2-11-1-211-1-2222-21-1111-1-1-100i3−i3001-1i3−i3i3−i300−i3i3-11−i3i3−i3i3-220000001-1-1100000000−i3i3i3−i30000
χ5544444-24-4-4-4-4-2-24-2-4-4-2-2-24-2-2-244-4-4-422222222000000-2-2000000002200000000000000000000000000000000
χ5644444-2-24444-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-2-2-21111-244-2-2-2-2111111-2-2-2-21111110000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2111-2-2-2-2-2-2-2-21111-2-4-4222211-1-1-1-1222211-1-1-1-10000000000000000000000000000
χ5844444-2-2-4-4-4-4-2-2-2-2221-2-2-2111-2-2222222-1-1-1-120000−2i32i311i3i3−i3−i3−2i32i300-1-1i3i3−i3−i30000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-2-2-2221-2-2-2111-2-2222222-1-1-1-1200002i3−2i311−i3−i3i3i32i3−2i300-1-1−i3−i3i3i30000000000000000000000000000
χ60444-4-4-2444-4-4-2-24-244-2224-2-2-2-4-44-4-4-2-22-2-2-2-2200000022000000002200000000000000000000000000000000
χ61444-4-4-2-244-4-4-2-2-2-2-2-2122-211122-222-2-22111120000−2i32i3-1-1i3i3−i3−i32i3−2i300-1-1−i3−i3i3i30000000000000000000000000000
χ62444-4-4-2-244-4-4-2-2-2-2-2-2122-211122-222-2-221111200002i3−2i3-1-1−i3−i3i3i3−2i32i300-1-1i3i3−i3−i30000000000000000000000000000
χ63444-4-4-2-2-4-444-2-2-2-222122-2111222-2-222-2-1-1-1-1-24-4-2-2-2-2-1-11111222211-1-1-1-10000000000000000000000000000
χ64444-4-4-2-2-4-444-2-2-2-222122-2111222-2-222-2-1-1-1-1-2-442222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000
χ6544-44-44-24-44-4-4-4-24-2-2-24-4222-2-222-224-4-4-2-2224000000-2200000000-2200000000000000000000000000000000
χ6644-44-44-2-44-44-4-4-2422-24-4222-2-22-22-2-44422-2-2-4000000-22000000002-200000000000000000000000000000000
χ6744-44-4-24-44-44224-2-4-4-2-22-422-24-44-442-2-222-2-22000000-22000000002-200000000000000000000000000000000
χ6844-44-4-2-24-44-422-2-2-2-21-222-1-11-222-22-22211-1-1-200−2i32i3001-1i3−i3i3−i300−2i32i31-1i3−i3i3−i30000000000000000000000000000
χ6944-44-4-2-24-44-422-2-2-2-21-222-1-11-222-22-22211-1-1-2002i3−2i3001-1−i3i3−i3i3002i3−2i31-1−i3i3−i3i30000000000000000000000000000
χ7044-44-4-2-2-44-4422-2-2221-222-1-11-22-22-22-2-2-1-11120000001-13-3-330000-113-3-330000000000000000000000000000
χ7144-44-4-2-2-44-4422-2-2221-222-1-11-22-22-22-2-2-1-11120000001-1-333-30000-11-333-30000000000000000000000000000
χ7244-4-444-24-4-44-4-4-24-2-2-2-44222-22-222-24-44-2-222-40000002-2000000002-200000000000000000000000000000000
χ7344-4-444-2-444-4-4-4-2422-2-44222-22-2-2-22-44-422-2-240000002-200000000-2200000000000000000000000000000000
χ7444-4-44-244-4-44224-244-22-2-422-2-44-4-44-22-2-2-22220000002-2000000002-200000000000000000000000000000000
χ7544-4-44-2-24-4-4422-2-2-2-212-22-1-112-222-2-22-211-1-12000000-113-3-330000-11-333-30000000000000000000000000000
χ7644-4-44-2-24-4-4422-2-2-2-212-22-1-112-222-2-22-211-1-12000000-11-333-30000-113-3-330000000000000000000000000000
χ7744-4-44-2-2-444-422-2-22212-22-1-112-2-2-222-22-1-111-200−2i32i300-11i3−i3i3−i3002i3−2i31-1−i3i3−i3i30000000000000000000000000000
χ7844-4-44-2-2-444-422-2-22212-22-1-112-2-2-222-22-1-111-2002i3−2i300-11−i3i3−i3i300−2i32i31-1i3−i3i3−i30000000000000000000000000000
χ798-800088000000-8-800800000-8000000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000004-843−43-40000040000000043−4300000000000000000000000000000000000000000000000000000
χ818-80008-40000004-8−4343-400000400000000−434300000000000000000000000000000000000000000000000000000
χ828-8000-480000−4i34i3-8400-4000−4i34i34000000000000000000000000000000000000000000000000000000000000000
χ838-8000-4800004i3−4i3-8400-40004i3−4i34000000000000000000000000000000000000000000000000000000000000000
χ848-8000-4-40000−4i34i34443−4320002i3−2i3-200000000−23236i−6i000000000000000000000000000000000000000000000000000
χ858-8000-4-40000−4i34i344−434320002i3−2i3-20000000023−23−6i6i000000000000000000000000000000000000000000000000000
χ868-8000-4-400004i3−4i34443−432000−2i32i3-200000000−2323−6i6i000000000000000000000000000000000000000000000000000
χ878-8000-4-400004i3−4i344−43432000−2i32i3-20000000023−236i−6i000000000000000000000000000000000000000000000000000

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