Finite Group Databasebeta

← Group #11792368

Character table — Group #11792368

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order1222233444466661212366666666121212121212121212121224666666666612121212121212121212244444668812121212121212121212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-111-1-1-1-11111-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-11111-1-11111-1-1-1-1-1-1-1-1
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
χ51111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-11111-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111
χ61111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-111-1-11111-1-1111111-1-1-1-1-1-1-1-111-1-1
χ71111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-111-1-1-1-111-1-1-1-1-1-11111111111-1-1
χ81111111111111111111111111111111111111-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1111111-1-1-1-1-1-11111-1-111
χ92222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-20000002200000000-2-2000000002-2000022-2-200000000000000
χ102222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-20000002200000000-2-200000000-220000-2-22200000000000000
χ11222222-1222222-12-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1220000-1-1220000-1-10000-1-1-1-10000
χ12222222-1222222-12-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-12222-1-1-1-1-1-1-1-1-1-122-1-1-1-1-1-1-2-2000011-2-2000011000011110000
χ13222222-1222222-12-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-2-2-2-211-1-1111111-2-2-1-11111220000-1-1-2-20000-1-1000011110000
χ14222222-1222222-12-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-2-2-2-211-1-1111111-2-2-1-11111-2-2000011220000110000-1-1-1-10000
χ1522222-122222-1-12-122-1-1-1222-1-1-122-1-1-1-1-1-1-1-1222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-10022220000-1-1-1-100-1-1-1-100000000
χ1622222-122222-1-12-122-1-1-1222-1-1-122-1-1-1-1-1-1-1-1222-1-122-1-1-1-1-1-122-1-1-1-1-1-1-1-100-2-2-2-20000111100111100000000
χ1722222-122222-1-12-122-1-1-1222-1-1-122-1-1-1-1-1-1-1-12-2-211-2-2-1-11111-2-211-1-111110022-2-20000111100-1-1-1-100000000
χ1822222-122222-1-12-122-1-1-1222-1-1-122-1-1-1-1-1-1-1-12-2-211-2-2-1-11111-2-211-1-1111100-2-2220000-1-1-1-100111100000000
χ1922222-12-2-2-2-2-1-12-1-2-2-1-1-1222-1-1-1-2-211111111-200−i3i300-1-1−i3−i3i3i300−i3i311−i3−i3i3i300002-20000-1-11100−i3−i3i3i300000000
χ2022222-12-2-2-2-2-1-12-1-2-2-1-1-1222-1-1-1-2-211111111-200−i3i300-1-1−i3−i3i3i300−i3i311−i3−i3i3i30000-22000011-1-100i3i3−i3−i300000000
χ2122222-12-2-2-2-2-1-12-1-2-2-1-1-1222-1-1-1-2-211111111-200i3−i300-1-1i3i3−i3−i300i3−i311i3i3−i3−i300002-20000-1-11100i3i3−i3−i300000000
χ2222222-12-2-2-2-2-1-12-1-2-2-1-1-1222-1-1-1-2-211111111-200i3−i300-1-1i3i3−i3−i300i3−i311i3i3−i3−i30000-22000011-1-100−i3−i3i3i300000000
χ23222-2-22222-2-2-2-2222222-22-2-2-2-222-222-2-222-2-2-20000002-2000000002-200000000000000000000000000002i−2i00
χ24222-2-22222-2-2-2-2222222-22-2-2-2-222-222-2-222-2-2-20000002-2000000002-20000000000000000000000000000−2i2i00
χ25222-2-222-2-222-2-222-2-222-22-2-2-2-22-22-2-222-2-22220000002-200000000-2200002-2000022000000-2-2000000000000
χ26222-2-222-2-222-2-222-2-222-22-2-2-2-22-22-2-222-2-22220000002-200000000-220000-220000-2-200000022000000000000
χ27222-2-22-1-2-222-2-2-1211-12-2-11111-11-1-2-22211-1-1-10000−i3i3-11−i3i3−i3i3−i3i3001-1−i3i3−i3i32-20000-1-1000000110000−i3−i3i3i30000
χ28222-2-22-1-2-222-2-2-1211-12-2-11111-11-1-2-22211-1-1-10000−i3i3-11−i3i3−i3i3−i3i3001-1−i3i3−i3i3-22000011000000-1-10000i3i3−i3−i30000
χ29222-2-22-1-2-222-2-2-1211-12-2-11111-11-1-2-22211-1-1-10000i3−i3-11i3−i3i3−i3i3−i3001-1i3−i3i3−i32-20000-1-1000000110000i3i3−i3−i30000
χ30222-2-22-1-2-222-2-2-1211-12-2-11111-11-1-2-22211-1-1-10000i3−i3-11i3−i3i3−i3i3−i3001-1i3−i3i3−i3-22000011000000-1-10000−i3−i3i3i30000
χ3122-22-2222-22-22222-2-22-2-2-22-22222-22-22-2-2-2-2-222-22222-2-22222-2-2-2-222-2-2-2-20000000000000000000000000000
χ3222-22-2222-22-22222-2-22-2-2-22-22222-22-22-2-2-2-2-22-22-2-2-2-2-2-2-2-2-2-222222222220000000000000000000000000000
χ3322-22-222-22-222222222-2-2-22-2222-22-22-222222-2000000-2-200000000-2-20000002-20000000000002-22-200000000
χ3422-22-222-22-222222222-2-2-22-2222-22-22-222222-2000000-2-200000000-2-2000000-22000000000000-22-2200000000
χ3522-22-22-12-22-222-1211-1-2-21-11-1-1-1-112-22-21111-12-222-1-111-1-1-1-111-2-2-1-11111000000−i3i3000000−i3i30000−i3i3−i3i30000
χ3622-22-22-12-22-222-1211-1-2-21-11-1-1-1-112-22-21111-12-222-1-111-1-1-1-111-2-2-1-11111000000i3−i3000000i3−i30000i3−i3i3−i30000
χ3722-22-22-12-22-222-1211-1-2-21-11-1-1-1-112-22-21111-1-22-2-211111111-1-122-1-1-1-1-1-1000000−i3i3000000−i3i30000i3−i3i3−i30000
χ3822-22-22-12-22-222-1211-1-2-21-11-1-1-1-112-22-21111-1-22-2-211111111-1-122-1-1-1-1-1-1000000i3−i3000000i3−i30000−i3i3−i3i30000
χ3922-22-2-122-22-2-1-12-1-2-2-111-22-2-1-1-12-2-11-11111122-2-1-12211-1-1-1-1-2-211-1-111110000000000−i3i3−i3i300−i3i3i3−i300000000
χ4022-22-2-122-22-2-1-12-1-2-2-111-22-2-1-1-12-2-11-11111122-2-1-12211-1-1-1-1-2-211-1-111110000000000i3−i3i3−i300i3−i3−i3i300000000
χ4122-22-2-122-22-2-1-12-1-2-2-111-22-2-1-1-12-2-11-1111112-2211-2-211111122-1-1-1-1-1-1-1-10000000000−i3i3−i3i300i3−i3−i3i300000000
χ4222-22-2-122-22-2-1-12-1-2-2-111-22-2-1-1-12-2-11-1111112-2211-2-211111122-1-1-1-1-1-1-1-10000000000i3−i3i3−i300−i3i3i3−i300000000
χ4322-22-2-12-22-22-1-12-122-111-22-2-1-1-1-221-11-1-1-1-1-1-200−i3i30011−i3−i3i3i300i3−i311i3i3−i3−i3002-2000000−i3i3i3−i300-11-1100000000
χ4422-22-2-12-22-22-1-12-122-111-22-2-1-1-1-221-11-1-1-1-1-1-200−i3i30011−i3−i3i3i300i3−i311i3i3−i3−i300-22000000i3−i3−i3i3001-11-100000000
χ4522-22-2-12-22-22-1-12-122-111-22-2-1-1-1-221-11-1-1-1-1-1-200i3−i30011i3i3−i3−i300−i3i311−i3−i3i3i3002-2000000i3−i3−i3i300-11-1100000000
χ4622-22-2-12-22-22-1-12-122-111-22-2-1-1-1-221-11-1-1-1-1-1-200i3−i30011i3i3−i3−i300−i3i311−i3−i3i3i300-22000000−i3i3i3−i3001-11-100000000
χ4722-2-22222-2-22-2-222-2-22-22-2-22-2-22222-2-22-2-222-2000000-22000000002-20000000000000000000000000000002-2
χ4822-2-22222-2-22-2-222-2-22-22-2-22-2-22222-2-22-2-222-2000000-22000000002-2000000000000000000000000000000-22
χ4922-2-2222-222-2-2-222222-22-2-22-2-22-2-2-222-222-2-22000000-2200000000-220000000000002-200000000002-2-220000
χ5022-2-2222-222-2-2-222222-22-2-22-2-22-2-2-222-222-2-22000000-2200000000-22000000000000-220000000000-222-20000
χ5122-2-222-1-222-2-2-2-12-1-1-1-2211-111-111-222-2-1-111-10000−i3i31-1−i3i3−i3i3i3−i3001-1i3−i3i3−i3000000−i3i32-20000i3−i30000-111-10000
χ5222-2-222-1-222-2-2-2-12-1-1-1-2211-111-111-222-2-1-111-10000−i3i31-1−i3i3−i3i3i3−i3001-1i3−i3i3−i3000000i3−i3-220000−i3i300001-1-110000
χ5322-2-222-1-222-2-2-2-12-1-1-1-2211-111-111-222-2-1-111-10000i3−i31-1i3−i3i3−i3−i3i3001-1−i3i3−i3i3000000−i3i3-220000i3−i300001-1-110000
χ5422-2-222-1-222-2-2-2-12-1-1-1-2211-111-111-222-2-1-111-10000i3−i31-1i3−i3i3−i3−i3i3001-1−i3i3−i3i3000000i3−i32-20000−i3i30000-111-10000
χ55444444-2-4-4-4-444-2422-244-2-2-2-2-2-222-4-4-4-422222000000-2-2000000002200000000000000000000000000000000
χ5644444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-21111-244-2-2-2-2111111-2-2-2-21111110000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-21111-2-4-4222211-1-1-1-1222211-1-1-1-10000000000000000000000000000
χ5844444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-2111222222-1-1-1-1200−2i32i30011i3i3−i3−i300−2i32i3-1-1i3i3−i3−i30000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-2111222222-1-1-1-12002i3−2i30011−i3−i3i3i3002i3−2i3-1-1−i3−i3i3i30000000000000000000000000000
χ60444-4-44-244-4-4-4-4-24-2-2-24-4-22222-2-2244-4-4-2-2222000000-2200000000-2200000000000000000000000000000000
χ61444-4-4-2444-4-4224-244-2-224-4-422-24-4-2-222-2-222-4000000-2200000000-2200000000000000000000000000000000
χ62444-4-4-24-4-444224-2-4-4-2-224-4-422-2-4422-2-222-2-24000000-22000000002-200000000000000000000000000000000
χ63444-4-4-2-244-4-422-2-2-2-21-22-222-1-11-22-2-22211-1-120000001-13-3-3300001-13-3-330000000000000000000000000000
χ64444-4-4-2-244-4-422-2-2-2-21-22-222-1-11-22-2-22211-1-120000001-1-333-300001-1-333-30000000000000000000000000000
χ65444-4-4-2-2-4-44422-2-2221-22-222-1-112-222-2-2-1-111-20000−2i32i31-1i3−i3i3−i3−2i32i300-11i3−i3i3−i30000000000000000000000000000
χ66444-4-4-2-2-4-44422-2-2221-22-222-1-112-222-2-2-1-111-200002i3−2i31-1−i3i3−i3i32i3−2i300-11−i3i3−i3i30000000000000000000000000000
χ6744-44-44-2-44-4444-24-2-2-2-4-42-22-2-2-22-2-44-44-2-2-2-2200000022000000002200000000000000000000000000000000
χ6844-44-4-2-24-44-4-2-2-2-2221222-22111-22-22-22-1-1-1-1-24-4-2-2-2-2-1-11111222211-1-1-1-10000000000000000000000000000
χ6944-44-4-2-24-44-4-2-2-2-2221222-22111-22-22-22-1-1-1-1-2-442222-1-1-1-1-1-1-2-2-2-21111110000000000000000000000000000
χ7044-44-4-2-2-44-44-2-2-2-2-2-21222-221112-22-22-21111200−2i32i300-1-1i3i3−i3−i3002i3−2i3-1-1−i3−i3i3i30000000000000000000000000000
χ7144-44-4-2-2-44-44-2-2-2-2-2-21222-221112-22-22-211112002i3−2i300-1-1−i3−i3i3i300−2i32i3-1-1i3i3−i3−i30000000000000000000000000000
χ7244-4-444-24-4-44-4-4-2422-2-4422-222-2-2-24-4-4422-2-220000002-200000000-2200000000000000000000000000000000
χ7344-4-44-244-4-44224-2-4-4-22-2-4-4422-244-222-222-2-2-40000002-200000000-2200000000000000000000000000000000
χ7444-4-44-24-444-4224-244-22-2-4-4422-2-4-42-2-22-2-22240000002-2000000002-200000000000000000000000000000000
χ7544-4-44-2-24-4-4422-2-22212-222-2-1-11-2-2-222-2-1-1112000000-113-3-3300001-1-333-30000000000000000000000000000
χ7644-4-44-2-24-4-4422-2-22212-222-2-1-11-2-2-222-2-1-1112000000-11-333-300001-13-3-330000000000000000000000000000
χ7744-4-44-2-2-444-422-2-2-2-212-222-2-1-11222-2-2211-1-1-20000−2i32i3-11i3−i3i3−i32i3−2i300-11−i3i3−i3i30000000000000000000000000000
χ7844-4-44-2-2-444-422-2-2-2-212-222-2-1-11222-2-2211-1-1-200002i3−2i3-11−i3i3−i3i3−2i32i300-11i3−i3i3−i30000000000000000000000000000
χ798-800088000000-8-80080000000-80000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000004-843−43-40000000400000043−4300000000000000000000000000000000000000000000000000000
χ818-80008-40000004-8−4343-400000004000000−434300000000000000000000000000000000000000000000000000000
χ828-8000-480000−4i34i3-8400-400000−4i34i340000000000000000000000000000000000000000000000000000000000000
χ838-8000-4800004i3−4i3-8400-4000004i3−4i340000000000000000000000000000000000000000000000000000000000000
χ848-8000-4-40000−4i34i34443−432000002i3−2i3-2000000−23236i−6i000000000000000000000000000000000000000000000000000
χ858-8000-4-40000−4i34i344−43432000002i3−2i3-200000023−23−6i6i000000000000000000000000000000000000000000000000000
χ868-8000-4-400004i3−4i34443−43200000−2i32i3-2000000−2323−6i6i000000000000000000000000000000000000000000000000000
χ878-8000-4-400004i3−4i344−4343200000−2i32i3-200000023−236i−6i000000000000000000000000000000000000000000000000000

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