Finite Group Databasebeta

← Group #11792370

Character table — Group #11792370

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order122223344446666663666666666661212121212121212441212121212121212121212121212121212121212244466888812121212121224242424242424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-1-1-1
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
χ51111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-111-1-111-1-1-1-111-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-11111-1-1-1-111-1-1
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111
χ92222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000000000000000000000000000002-2
χ102222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000000000000000000000000000-22
χ11222222-12222-1-1222-1-122-1-1-1-1-1-1-1-1-1222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-12200-1-122000000-1-1-1-1-1-100000000
χ12222222-12222-1-1222-1-122-1-1-1-1-1-1-1-1-1222-1-1-12-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20011-2-200000011111100000000
χ13222222-12222-1-1222-1-122-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-21111-1-1-1-1111111112200-1-1-2-2000000-1-1111100000000
χ14222222-12222-1-1222-1-122-1-1-1-1-1-1-1-1-1222-1-1-12-1-2-2-2-2-2-21111-1-1-1-111111111-2-200112200000011-1-1-1-100000000
χ1522222-12222222-1-1-12-1-1-122-1-1-1-1-1-1-1-1-1-1222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10022000022-1-1-1-1000000-1-1-1-10000
χ1622222-12222222-1-1-12-1-1-122-1-1-1-1-1-1-1-1-1-1222-1222-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100-2-20000-2-2111100000011110000
χ1722222-12222222-1-1-12-1-1-122-1-1-1-1-1-1-1-1-1-1222-12-2-21111-2-2-2-2-1-1-1-11111111100220000-2-2-1-1-1-100000011110000
χ1822222-12222222-1-1-12-1-1-122-1-1-1-1-1-1-1-1-1-1222-12-2-21111-2-2-2-2-1-1-1-11111111100-2-20000221111000000-1-1-1-10000
χ19222-2-22222-2-2222-2-2222-2-2-222-2-2-2-2222-222-2-2-2000000000022-2-200000000002i−2i0000002i2i−2i−2i00000000000000
χ20222-2-22222-2-2222-2-2222-2-2-222-2-2-2-2222-222-2-2-2000000000022-2-20000000000−2i2i000000−2i−2i2i2i00000000000000
χ21222-2-222-2-222222-2-2222-2-2-222-2-2-2-22-2-22-2-22220000000000-2-222000000002-2002200000000-2-2000000000000
χ22222-2-222-2-222222-2-2222-2-2-222-2-2-2-22-2-22-2-22220000000000-2-22200000000-2200-2-20000000022000000000000
χ23222-2-22-1-2-222-1-12-2-2-1-12-211-1-11111-1-2-2211-12-1000000−i3−i3i3i311-1-1−i3−i3−i3−i3i3i3i3i32-200-1-10000000011−i3−i3i3i300000000
χ24222-2-22-1-2-222-1-12-2-2-1-12-211-1-11111-1-2-2211-12-1000000−i3−i3i3i311-1-1−i3−i3−i3−i3i3i3i3i3-22001100000000-1-1i3i3−i3−i300000000
χ25222-2-22-1-2-222-1-12-2-2-1-12-211-1-11111-1-2-2211-12-1000000i3i3−i3−i311-1-1i3i3i3i3−i3−i3−i3−i32-200-1-10000000011i3i3−i3−i300000000
χ26222-2-22-1-2-222-1-12-2-2-1-12-211-1-11111-1-2-2211-12-1000000i3i3−i3−i311-1-1i3i3i3i3−i3−i3−i3−i3-22001100000000-1-1−i3−i3i3i300000000
χ27222-2-2-1222-2-222-1112-1-11-2-2-1-11111-1-1-1122-21-200−i3−i3i3i30000-1-111−i3−i3i3i3−i3−i3i3i3002i−2i000000−i−iii00000033−3−30000
χ28222-2-2-1222-2-222-1112-1-11-2-2-1-11111-1-1-1122-21-200−i3−i3i3i30000-1-111−i3−i3i3i3−i3−i3i3i300−2i2i000000ii−i−i000000−3−3330000
χ29222-2-2-1222-2-222-1112-1-11-2-2-1-11111-1-1-1122-21-200i3i3−i3−i30000-1-111i3i3−i3−i3i3i3−i3−i3002i−2i000000−i−iii000000−3−3330000
χ30222-2-2-1222-2-222-1112-1-11-2-2-1-11111-1-1-1122-21-200i3i3−i3−i30000-1-111i3i3−i3−i3i3i3−i3−i300−2i2i000000ii−i−i00000033−3−30000
χ3122-22-2222-22-2-2-222222-2-22-2-2-222-2-222-222-2-2-2200000000002-22-2000000000000002-2000000002-22-200000000
χ3222-22-2222-22-2-2-222222-2-22-2-2-222-2-222-222-2-2-2200000000002-22-200000000000000-2200000000-22-2200000000
χ3322-22-222-22-22-2-222222-2-22-2-2-222-2-22-22-2-2222-20000000000-22-2200000000000000002-200000000002-22-20000
χ3422-22-222-22-22-2-222222-2-22-2-2-222-2-22-22-2-2222-20000000000-22-220000000000000000-220000000000-22-220000
χ3522-22-22-12-22-211222-1-1-2-2-1111-1-111-12-22-111-2-1000000−i3i3−i3i3-11-11−i3i3−i3i3−i3i3−i3i30000−i3i32-2000000−i3i3-11-1100000000
χ3622-22-22-12-22-211222-1-1-2-2-1111-1-111-12-22-111-2-1000000−i3i3−i3i3-11-11−i3i3−i3i3−i3i3−i3i30000i3−i3-22000000i3−i31-11-100000000
χ3722-22-22-12-22-211222-1-1-2-2-1111-1-111-12-22-111-2-1000000i3−i3i3−i3-11-11i3−i3i3−i3i3−i3i3−i30000−i3i3-22000000−i3i31-11-100000000
χ3822-22-22-12-22-211222-1-1-2-2-1111-1-111-12-22-111-2-1000000i3−i3i3−i3-11-11i3−i3i3−i3i3−i3i3−i30000i3−i32-2000000i3−i3-11-1100000000
χ3922-22-2-12-22-22-2-2-1-1-12-1112-211-1-111-11-11-222-1-200−i3i3−i3i300001-11-1−i3i3i3−i3i3−i3−i3i3000000002-2−i3i3−i3i3000000-11-110000
χ4022-22-2-12-22-22-2-2-1-1-12-1112-211-1-111-11-11-222-1-200−i3i3−i3i300001-11-1−i3i3i3−i3i3−i3−i3i300000000-22i3−i3i3−i30000001-11-10000
χ4122-22-2-12-22-22-2-2-1-1-12-1112-211-1-111-11-11-222-1-200i3−i3i3−i300001-11-1i3−i3−i3i3−i3i3i3−i3000000002-2i3−i3i3−i3000000-11-110000
χ4222-22-2-12-22-22-2-2-1-1-12-1112-211-1-111-11-11-222-1-200i3−i3i3−i300001-11-1i3−i3−i3i3−i3i3i3−i300000000-22−i3i3−i3i30000001-11-10000
χ4322-2-22222-2-22-2-22-2-222-22-22-2-2-2-22222-2-22-222-200000000002-2-22000000000000000000000000000000002-200
χ4422-2-22222-2-22-2-22-2-222-22-22-2-2-2-22222-2-22-222-200000000002-2-2200000000000000000000000000000000-2200
χ4522-2-2222-222-2-2-22-2-222-22-22-2-2-2-2222-222-22-2-222-22-2-222-2-22-222-22-22-2-22-220000000000000000000000000000
χ4622-2-2222-222-2-2-22-2-222-22-22-2-2-2-2222-222-22-2-22-22-222-2-222-2-222-2-22-222-22-20000000000000000000000000000
χ4722-2-222-1-222-2112-2-2-1-1-221-11111-1-1-1-2221-11-2-12-22-2-22-111-11-1-11-11-111-11-10000−i3i300000000i3−i3−i3i3i3−i300000000
χ4822-2-222-1-222-2112-2-2-1-1-221-11111-1-1-1-2221-11-2-12-22-2-22-111-11-1-11-11-111-11-10000i3−i300000000−i3i3i3−i3−i3i300000000
χ4922-2-222-1-222-2112-2-2-1-1-221-11111-1-1-1-2221-11-2-1-22-222-21-1-111-1-111-11-1-11-110000−i3i300000000i3−i3i3−i3−i3i300000000
χ5022-2-222-1-222-2112-2-2-1-1-221-11111-1-1-1-2221-11-2-1-22-222-21-1-111-1-111-11-1-11-110000i3−i300000000−i3i3−i3i3i3−i300000000
χ5122-2-22-12-222-2-2-2-1112-11-1-221111-1-1-11-1-1-22-2122-2-111-12-2-221-1-11-11-111-11-100000000003−3−330000003−3−330000
χ5222-2-22-12-222-2-2-2-1112-11-1-221111-1-1-11-1-1-22-2122-2-111-12-2-221-1-11-11-111-11-10000000000−333−3000000−333−30000
χ5322-2-22-12-222-2-2-2-1112-11-1-221111-1-1-11-1-1-22-212-221-1-11-222-21-1-111-11-1-11-1100000000003−3−33000000−333−30000
χ5422-2-22-12-222-2-2-2-1112-11-1-221111-1-1-11-1-1-22-212-221-1-11-222-21-1-111-11-1-11-110000000000−333−30000003−3−330000
χ55444444-2-4-4-4-4-2-2444-2-244-2-2-2-2-2-2-2-2-2-4-4-4222-4200000000002222000000000000000000000000000000000000
χ5644444-24-4-4-4-444-2-2-24-2-2-244-2-2-2-2-2-2-2222-4-4-42-400000000002222000000000000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-21111111111110000000000000000000000000000
χ5844444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-10000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222220000000000-1-1-1-133-3-3-3-3330000000000000000000000000000
χ6044444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222220000000000-1-1-1-1-3-33333-3-30000000000000000000000000000
χ61444-4-44-244-4-4-2-24-4-4-2-24-422-2-22222-244-4-2-22-420000000000-2-222000000000000000000000000000000000000
χ62444-4-4-24-4-44444-2224-2-22-4-4-2-22222-222-2-4-44-24000000000022-2-2000000000000000000000000000000000000
χ63444-4-4-2-244-4-4-2-2-222-21-222211-1-1-1-11-2-22-2-222200−2i3−2i32i32i3000011-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000
χ64444-4-4-2-244-4-4-2-2-222-21-222211-1-1-1-11-2-22-2-2222002i32i3−2i3−2i3000011-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000
χ65444-4-4-2-2-4-444-2-2-222-21-222211-1-1-1-1122-222-2-2-2000000−2i3−2i32i32i3-1-111i3i3i3i3−i3−i3−i3−i30000000000000000000000000000
χ66444-4-4-2-2-4-444-2-2-222-21-222211-1-1-1-1122-222-2-2-20000002i32i3−2i3−2i3-1-111−i3−i3−i3−i3i3i3i3i30000000000000000000000000000
χ6744-44-44-2-44-4422444-2-2-4-4-2222-2-222-2-44-42-2-24200000000002-22-2000000000000000000000000000000000000
χ6844-44-4-244-44-4-4-4-2-2-24-2224-422-2-222-2-22-24-4-4240000000000-22-22000000000000000000000000000000000000
χ6944-44-4-2-24-44-422-2-2-2-2122-22-1-111-1-11-22-2-2222-2000000−2i32i3−2i32i31-11-1i3−i3i3−i3i3−i3i3−i30000000000000000000000000000
χ7044-44-4-2-24-44-422-2-2-2-2122-22-1-111-1-11-22-2-2222-20000002i3−2i32i3−2i31-11-1−i3i3−i3i3−i3i3−i3i30000000000000000000000000000
χ7144-44-4-2-2-44-4422-2-2-2-2122-22-1-111-1-112-222-2-2-2200−2i32i3−2i32i30000-11-11i3−i3−i3i3−i3i3i3−i30000000000000000000000000000
χ7244-44-4-2-2-44-4422-2-2-2-2122-22-1-111-1-112-222-2-2-22002i3−2i32i3−2i30000-11-11−i3i3i3−i3i3−i3−i3i30000000000000000000000000000
χ7344-4-444-24-4-44224-4-4-2-2-442-22222-2-2-24-4-4-22-2420000000000-222-2000000000000000000000000000000000000
χ7444-4-44-244-4-44-4-4-2224-22-2-442222-2-2-2-2224-44-2-40000000000-222-2000000000000000000000000000000000000
χ7544-4-44-2-24-4-4422-222-212-22-2-1-1-1-1111-222-22-2-2200000000001-1-113-3-333-3-330000000000000000000000000000
χ7644-4-44-2-24-4-4422-222-212-22-2-1-1-1-1111-222-22-2-2200000000001-1-11-333-3-333-30000000000000000000000000000
χ7744-4-44-2-2-444-422-222-212-22-2-1-1-1-11112-2-22-222-24-4-222-2-222-2-111-11-11-1-11-110000000000000000000000000000
χ7844-4-44-2-2-444-422-222-212-22-2-1-1-1-11112-2-22-222-2-442-2-222-2-22-111-1-11-111-11-10000000000000000000000000000
χ798-800088000000-800-880000000000-80000000000000000000000000000000000000000000000000000000000
χ808-80008-40000−4i34i3-8004-40000−4i34i3000040000000000000000000000000000000000000000000000000000000000
χ818-80008-400004i3−4i3-8004-400004i3−4i3000040000000000000000000000000000000000000000000000000000000000
χ828-8000-480000004−4i34i3-8-4000000−4i34i30040000000000000000000000000000000000000000000000000000000000
χ838-8000-4800000044i3−4i3-8-40000004i3−4i30040000000000000000000000000000000000000000000000000000000000
χ848-8000-4-40000−4i34i34−4i34i34200002i3−2i32i3−2i36-6-20000000000000000000000000000000000000000000000000000000000
χ858-8000-4-40000−4i34i344i3−4i34200002i3−2i3−2i32i3-66-20000000000000000000000000000000000000000000000000000000000
χ868-8000-4-400004i3−4i34−4i34i3420000−2i32i32i3−2i3-66-20000000000000000000000000000000000000000000000000000000000
χ878-8000-4-400004i3−4i344i3−4i3420000−2i32i3−2i32i36-6-20000000000000000000000000000000000000000000000000000000000

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