Finite Group Databasebeta

← Group #11792369

Character table — Group #11792369

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order122223344446666663666666666661212121212121212441212121212121212121212121212121212121212244444668812121212121212121212242424242488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-111-1-11111-1-1-1-111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-111-1-111-1-1-1-11111-1-11111-1-1-1-1
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
χ51111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-1-1-1-1-111
χ61111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-111-1-1-1-11111-1-1-1-1-1-1-1-111111111-1-1
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111111111-1-1-1-1-1-111-1-1
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-1-1-11111-1-111
χ92222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-200000000002-200000022-2-200000000000000
χ102222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000-22000000-2-22200000000000000
χ11222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1222200-1-100-1-1-1-10000-1-100000000
χ12222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2001100111100001100000000
χ13222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-2-2-21111-1-1-1-11111111122-2-200-1-10011110000-1-100000000
χ14222222-12222222-1-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-2-2-21111-1-1-1-111111111-2-222001100-1-1-1-100001100000000
χ15222222-1-2-2-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-21111-2000000−i3−i3i3i31111−i3−i3−i3−i3i3i3i3i3002-200−i3i300-1-1110000−i3i300000000
χ16222222-1-2-2-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-21111-2000000−i3−i3i3i31111−i3−i3−i3−i3i3i3i3i300-2200i3−i30011-1-10000i3−i300000000
χ17222222-1-2-2-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-21111-2000000i3i3−i3−i31111i3i3i3i3−i3−i3−i3−i3002-200i3−i300-1-1110000i3−i300000000
χ18222222-1-2-2-2-2222-1-1-1-122-1-1-1-1-1-1-1-1-1-2-2-21111-2000000i3i3−i3−i31111i3i3i3i3−i3−i3−i3−i300-2200−i3i30011-1-10000−i3i300000000
χ1922222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-12222-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-100002200220000-1-1-1-100-1-1-1-10000
χ2022222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-12222-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10000-2-200-2-2000011110011110000
χ2122222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-2-21111-2-2-2-2-1-1-1-11111111100002200-2-20000-1-1-1-10011110000
χ2222222-122222-1-1-1222-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-2-21111-2-2-2-2-1-1-1-1111111110000-2-200220000111100-1-1-1-10000
χ23222-2-22222-2-22-2-2-2-2222-22-222-2-2-2-2222-222-2-2-2000000000022-2-20000000000002i−2i000000002i2i−2i−2i0000000000
χ24222-2-22222-2-22-2-2-2-2222-22-222-2-2-2-2222-222-2-2-2000000000022-2-2000000000000−2i2i00000000−2i−2i2i2i0000000000
χ25222-2-222-2-2222-2-2-2-2222-22-222-2-2-2-22-2-22-2-22220000000000-2-222000000000000000000000000000000002-200
χ26222-2-222-2-2222-2-2-2-2222-22-222-2-2-2-22-2-22-2-22220000000000-2-22200000000000000000000000000000000-2200
χ27222-2-2-1222-2-2-111-2-22-1-112-2-1-11111-1-1-1122-2-2100−i3−i3i3i30000-1-111−i3−i3i3i3−i3−i3i3i300002i−2i00000000−i−iii0033−3−30000
χ28222-2-2-1222-2-2-111-2-22-1-112-2-1-11111-1-1-1122-2-2100−i3−i3i3i30000-1-111−i3−i3i3i3−i3−i3i3i30000−2i2i00000000ii−i−i00−3−3330000
χ29222-2-2-1222-2-2-111-2-22-1-112-2-1-11111-1-1-1122-2-2100i3i3−i3−i30000-1-111i3i3−i3−i3i3i3−i3−i300002i−2i00000000−i−iii00−3−3330000
χ30222-2-2-1222-2-2-111-2-22-1-112-2-1-11111-1-1-1122-2-2100i3i3−i3−i30000-1-111i3i3−i3−i3i3i3−i3−i30000−2i2i00000000ii−i−i0033−3−30000
χ3122-22-2222-22-2222-2-222-2-2-22-2-222-2-222-2-22-22-2200000000002-22-200000000000000002-200000000002-22-20000
χ3222-22-2222-22-2222-2-222-2-2-22-2-222-2-222-2-22-22-2200000000002-22-20000000000000000-220000000000-22-220000
χ3322-22-222-22-22222-2-222-2-2-22-2-222-2-22-222-22-22-20000000000-22-2200000000000000000000000000000000002-2
χ3422-22-222-22-22222-2-222-2-2-22-2-222-2-22-222-22-22-20000000000-22-220000000000000000000000000000000000-22
χ3522-22-2-122-22-2-1-1-1-2-22-111-2211-1-111-1-1112-22-2-100−i3i3−i3i30000-11-11−i3i3−i3i3−i3i3−i3i3000000002-20000−i3i3−i3i300-11-110000
χ3622-22-2-122-22-2-1-1-1-2-22-111-2211-1-111-1-1112-22-2-100−i3i3−i3i30000-11-11−i3i3−i3i3−i3i3−i3i300000000-220000i3−i3i3−i3001-11-10000
χ3722-22-2-122-22-2-1-1-1-2-22-111-2211-1-111-1-1112-22-2-100i3−i3i3−i30000-11-11i3−i3i3−i3i3−i3i3−i3000000002-20000i3−i3i3−i300-11-110000
χ3822-22-2-122-22-2-1-1-1-2-22-111-2211-1-111-1-1112-22-2-100i3−i3i3−i30000-11-11i3−i3i3−i3i3−i3i3−i300000000-220000−i3i3−i3i3001-11-10000
χ3922-2-22222-2-222-2-22222-22-2-2-2-2-2-22222-222-2-22-22-22-2-222-22-22-2-222-2-222-2-220000000000000000000000000000
χ4022-2-22222-2-222-2-22222-22-2-2-2-2-2-22222-222-2-22-2-22-222-2-22-222-2-22-222-2-222-20000000000000000000000000000
χ4122-2-2222-222-22-2-22222-22-2-2-2-2-2-2222-22-2-222-220000000000-222-2000000002-20000220000000000-2-200000000
χ4222-2-2222-222-22-2-22222-22-2-2-2-2-2-2222-22-2-222-220000000000-222-200000000-220000-2-200000000002200000000
χ4322-2-222-12-2-222-2-2-1-1-1-1-22111111-1-1-12-22-111-1-22-22-2-22-11-11-111-1-111-1-111-1000000−i3i300−i3i3−i3i30000i3−i300000000
χ4422-2-222-12-2-222-2-2-1-1-1-1-22111111-1-1-12-22-111-1-22-22-2-22-11-11-111-1-111-1-111-1000000i3−i300i3−i3i3−i30000−i3i300000000
χ4522-2-222-12-2-222-2-2-1-1-1-1-22111111-1-1-12-22-111-1-2-22-222-21-11-1-111-11-1-111-1-11000000−i3i300i3−i3i3−i30000i3−i300000000
χ4622-2-222-12-2-222-2-2-1-1-1-1-22111111-1-1-12-22-111-1-2-22-222-21-11-1-111-11-1-111-1-11000000i3−i300−i3i3−i3i30000−i3i300000000
χ4722-2-222-1-222-22-2-2-1-1-1-1-22111111-1-1-1-22-21-1-112000000−i3i3i3−i31-1-11−i3i3i3−i3i3−i3−i3i32-20000-1-100−i3i3i3−i300001100000000
χ4822-2-222-1-222-22-2-2-1-1-1-1-22111111-1-1-1-22-21-1-112000000−i3i3i3−i31-1-11−i3i3i3−i3i3−i3−i3i3-2200001100i3−i3−i3i30000-1-100000000
χ4922-2-222-1-222-22-2-2-1-1-1-1-22111111-1-1-1-22-21-1-112000000i3−i3−i3i31-1-11i3−i3−i3i3−i3i3i3−i32-20000-1-100i3−i3−i3i300001100000000
χ5022-2-222-1-222-22-2-2-1-1-1-1-22111111-1-1-1-22-21-1-112000000i3−i3−i3i31-1-11i3−i3−i3i3−i3i3i3−i3-2200001100−i3i3i3−i30000-1-100000000
χ5122-2-22-122-2-22-111222-11-1-2-21111-1-1-1-11-12-2-2212-2-111-12-22-2-111-1-111-1-111-1000000000000003−3−33003−3−330000
χ5222-2-22-122-2-22-111222-11-1-2-21111-1-1-1-11-12-2-2212-2-111-12-22-2-111-1-111-1-111-100000000000000−333−300−333−30000
χ5322-2-22-122-2-22-111222-11-1-2-21111-1-1-1-11-12-2-221-221-1-11-22-22-111-11-1-111-1-11000000000000003−3−3300−333−30000
χ5422-2-22-122-2-22-111222-11-1-2-21111-1-1-1-11-12-2-221-221-1-11-22-22-111-11-1-111-1-1100000000000000−333−3003−3−330000
χ5544444-24-4-4-4-4-2-2-2444-2-2-244-2-2-2-2-2-2-2222-4-4-4-4200000000002222000000000000000000000000000000000000
χ5644444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-244-2-2-2-2-2-2-2-21111111111110000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2-21111111-2-2-2-2-2-2-2-2-4-4222222221111-1-1-1-1-1-1-1-10000000000000000000000000000
χ5844444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-2111111122222222000000−2i3−2i32i32i3-1-1-1-1i3i3i3i3−i3−i3−i3−i30000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-2-2-2-2-21-2-2-2-21111111222222220000002i32i3−2i3−2i3-1-1-1-1−i3−i3−i3−i3i3i3i3i30000000000000000000000000000
χ60444-4-44-244-4-44-4-422-2-24-4-22-2-22222-244-4-2-222-40000000000-2-222000000000000000000000000000000000000
χ61444-4-44-2-4-4444-4-422-2-24-4-22-2-22222-2-4-4422-2-24000000000022-2-2000000000000000000000000000000000000
χ62444-4-4-24-4-444-222-4-44-2-224-4-2-22222-222-2-4-444-2000000000022-2-2000000000000000000000000000000000000
χ63444-4-4-2-244-4-4-22222-21-22-2211-1-1-1-11-2-22-2-222200−2i3−2i32i32i3000011-1-1i3i3−i3−i3i3i3−i3−i30000000000000000000000000000
χ64444-4-4-2-244-4-4-22222-21-22-2211-1-1-1-11-2-22-2-2222002i32i3−2i3−2i3000011-1-1−i3−i3i3i3−i3−i3i3i30000000000000000000000000000
χ65444-4-4-2-2-4-444-22222-21-22-2211-1-1-1-1122-222-2-2-20000000000-1-11133-3-3-3-3330000000000000000000000000000
χ66444-4-4-2-2-4-444-22222-21-22-2211-1-1-1-1122-222-2-2-20000000000-1-111-3-33333-3-30000000000000000000000000000
χ6744-44-44-24-44-444422-2-2-4-42-222-2-222-24-4-4-22-2240000000000-22-22000000000000000000000000000000000000
χ6844-44-44-2-44-4444422-2-2-4-42-222-2-222-2-4442-22-2-400000000002-22-2000000000000000000000000000000000000
χ6944-44-4-24-44-44-2-2-2-4-44-222-4422-2-222-22-2-2-44-44200000000002-22-2000000000000000000000000000000000000
χ7044-44-4-2-24-44-4-2-2-222-21222-2-1-111-1-11-222-22-22-200−2i32i3−2i32i300001-11-1i3−i3i3−i3i3−i3i3−i30000000000000000000000000000
χ7144-44-4-2-24-44-4-2-2-222-21222-2-1-111-1-11-222-22-22-2002i3−2i32i3−2i300001-11-1−i3i3−i3i3−i3i3−i3i30000000000000000000000000000
χ7244-44-4-2-2-44-44-2-2-222-21222-2-1-111-1-112-2-22-22-220000000000-11-113-33-3-33-330000000000000000000000000000
χ7344-44-4-2-2-44-44-2-2-222-21222-2-1-111-1-112-2-22-22-220000000000-11-11-33-333-33-30000000000000000000000000000
χ7444-4-44-24-444-4-222444-22-2-4-42222-2-2-22-22-444-4-200000000002-2-22000000000000000000000000000000000000
χ7544-4-44-2-24-4-44-222-2-2-212-222-1-1-1-1111-22-2-222-224-4-222-2-22-221-1-111-1-111-1-110000000000000000000000000000
χ7644-4-44-2-24-4-44-222-2-2-212-222-1-1-1-1111-22-2-222-22-442-2-222-22-21-1-11-111-1-111-10000000000000000000000000000
χ7744-4-44-2-2-444-4-222-2-2-212-222-1-1-1-11112-222-2-22-2000000−2i32i32i3−2i3-111-1i3−i3−i3i3−i3i3i3−i30000000000000000000000000000
χ7844-4-44-2-2-444-4-222-2-2-212-222-1-1-1-11112-222-2-22-20000002i3−2i3−2i32i3-111-1−i3i3i3−i3i3−i3−i3i30000000000000000000000000000
χ798-8000880000-80000-880000000000-80000000000000000000000000000000000000000000000000000000000
χ808-80008-40000-800−4i34i34-400000000−4i34i340000000000000000000000000000000000000000000000000000000000
χ818-80008-40000-8004i3−4i34-4000000004i3−4i340000000000000000000000000000000000000000000000000000000000
χ828-8000-4800004−4i34i300-8-4000000−4i34i30040000000000000000000000000000000000000000000000000000000000
χ838-8000-48000044i3−4i300-8-40000004i3−4i30040000000000000000000000000000000000000000000000000000000000
χ848-8000-4-400004−4i34i3−4i34i34200006-62i3−2i32i3−2i3-20000000000000000000000000000000000000000000000000000000000
χ858-8000-4-400004−4i34i34i3−4i3420000-662i3−2i3−2i32i3-20000000000000000000000000000000000000000000000000000000000
χ868-8000-4-4000044i3−4i3−4i34i3420000-66−2i32i32i3−2i3-20000000000000000000000000000000000000000000000000000000000
χ878-8000-4-4000044i3−4i34i3−4i34200006-6−2i32i3−2i32i3-20000000000000000000000000000000000000000000000000000000000

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