Finite Group Databasebeta

← Group #11792371

Character table — Group #11792371

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order1222233444466666636666666666612121212121212124412121212121212121212121212121212121212122244446666881212121212121212242424244488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-11-11111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-11-11-1-1-1-11111-1-1-1-1-1-1111111-1-1-1-1
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
χ51111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11111-1-11111-1-1-1-1-1-11111-1-1-1-1-1-111
χ61111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-11-11-1-1-111-1-111-1-1-1-111-1-1111111-1-1
χ71111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-11-1111-1-111-1-11111-1-111-1-1-1-111-1-1
χ81111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1111111-1-1-1-11111-1-111
χ92222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-20000000000002-200000022-2-2000000000000
χ102222222-2-2-2-2222222222222222222-2-2-2-2-2-2-2-20000000000-2-2-2-2000000000000-22000000-2-222000000000000
χ11222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1202022-1-10000-1-1-1-1-1-10000000000
χ12222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-12222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-20-20-2-21100001111110000000000
χ13222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-2-2-21111-1-1-1-1111111112020-2-2-1-100001111-1-10000000000
χ14222222-1222222-1-12-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-2-2-2-21111-1-1-1-111111111-20-2022110000-1-1-1-1110000000000
χ15222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-1-1-1-1-2-2-21111-2000000−i3−i3i3i31111−i3−i3−i3−i3i3i3i3i300002-2−i3i30000-1-111−i3i30000000000
χ16222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-1-1-1-1-2-2-21111-2000000−i3−i3i3i31111−i3−i3−i3−i3i3i3i3i30000-22i3−i3000011-1-1i3−i30000000000
χ17222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-1-1-1-1-2-2-21111-2000000i3i3−i3−i31111i3i3i3i3−i3−i3−i3−i300002-2i3−i30000-1-111i3−i30000000000
χ18222222-1-2-2-2-222-1-12-1-122-1-1-1-1-1-1-1-1-1-2-2-21111-2000000i3i3−i3−i31111i3i3i3i3−i3−i3−i3−i30000-22−i3i3000011-1-1−i3i30000000000
χ1922222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-1-12222-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-102020000-1-122000000-1-1-1-1-1-10000
χ2022222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-1-12222-122-1-1-1-12222-1-1-1-1-1-1-1-1-1-1-1-10-20-2000011-2-20000001111110000
χ2122222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-2-21111-2-2-2-2-1-1-1-11111111102020000-1-1-2-2000000-1-111110000
χ2222222-122222-1-122-12-1-1-122-1-1-1-1-1-1-1-1-1-12222-1-2-21111-2-2-2-2-1-1-1-1111111110-20-20000112200000011-1-1-1-10000
χ23222-2-22222-2-222-2-2222-2-22-222-2-2-2-2222-222-2-2-2000000000022-2-2000000000000000000000000000000002i−2i00
χ24222-2-22222-2-222-2-2222-2-22-222-2-2-2-2222-222-2-2-2000000000022-2-200000000000000000000000000000000−2i2i00
χ25222-2-222-2-22222-2-2222-2-22-222-2-2-2-22-2-22-2-22220000000000-2-22200000000020-200002200000000-2-200000000
χ26222-2-222-2-22222-2-2222-2-22-222-2-2-2-22-2-22-2-22220000000000-2-222000000000-2020000-2-2000000002200000000
χ27222-2-2-12-2-222-1-1-2-2-12-1112-2-1-11111-111-1-2-222-100−i3−i3i3i3000011-1-1−i3−i3i3i3−i3−i3i3i3020-20000-1-10000000011−i3−i3i3i30000
χ28222-2-2-12-2-222-1-1-2-2-12-1112-2-1-11111-111-1-2-222-100−i3−i3i3i3000011-1-1−i3−i3i3i3−i3−i3i3i30-20200001100000000-1-1i3i3−i3−i30000
χ29222-2-2-12-2-222-1-1-2-2-12-1112-2-1-11111-111-1-2-222-100i3i3−i3−i3000011-1-1i3i3−i3−i3i3i3−i3−i3020-20000-1-10000000011i3i3−i3−i30000
χ30222-2-2-12-2-222-1-1-2-2-12-1112-2-1-11111-111-1-2-222-100i3i3−i3−i3000011-1-1i3i3−i3−i3i3i3−i3−i30-20200001100000000-1-1−i3−i3i3i30000
χ3122-22-2222-22-2-2-2222222-2-2-2-2-222-2-222-2-22-22-222-22-22-22-22-22-22-22-22-22-22-20000000000000000000000000000
χ3222-22-2222-22-2-2-2222222-2-2-2-2-222-2-222-2-22-22-22-22-22-22-22-222-22-2-22-22-22-220000000000000000000000000000
χ3322-22-222-22-22-2-2222222-2-2-2-2-222-2-22-222-22-22-20000000000-22-220000000020-20002200000000-2-20000000000
χ3422-22-222-22-22-2-2222222-2-2-2-2-222-2-22-222-22-22-20000000000-22-2200000000-202000-2-200000000220000000000
χ3522-22-22-12-22-2-2-2-1-12-1-12-21111-1-111-12-2-2-11-1122-22-22-2-11-11-11-11-11-11-11-11000000−i3i30000−i3i3−i3i3i3−i30000000000
χ3622-22-22-12-22-2-2-2-1-12-1-12-21111-1-111-12-2-2-11-1122-22-22-2-11-11-11-11-11-11-11-11000000i3−i30000i3−i3i3−i3−i3i30000000000
χ3722-22-22-12-22-2-2-2-1-12-1-12-21111-1-111-12-2-2-11-112-22-22-221-11-1-11-111-11-11-11-1000000−i3i30000i3−i3i3−i3i3−i30000000000
χ3822-22-22-12-22-2-2-2-1-12-1-12-21111-1-111-12-2-2-11-112-22-22-221-11-1-11-111-11-11-11-1000000i3−i30000−i3i3−i3i3−i3i30000000000
χ3922-22-22-1-22-22-2-2-1-12-1-12-21111-1-111-1-2221-11-1-2000000−i3i3i3−i31-11-1−i3i3−i3i3i3−i3i3−i320-2000-1-10000−i3i3i3−i3110000000000
χ4022-22-22-1-22-22-2-2-1-12-1-12-21111-1-111-1-2221-11-1-2000000−i3i3i3−i31-11-1−i3i3−i3i3i3−i3i3−i3-202000110000i3−i3−i3i3-1-10000000000
χ4122-22-22-1-22-22-2-2-1-12-1-12-21111-1-111-1-2221-11-1-2000000i3−i3−i3i31-11-1i3−i3i3−i3−i3i3−i3i320-2000-1-10000i3−i3−i3i3110000000000
χ4222-22-22-1-22-22-2-2-1-12-1-12-21111-1-111-1-2221-11-1-2000000i3−i3−i3i31-11-1i3−i3i3−i3−i3i3−i3i3-202000110000−i3i3i3−i3-1-10000000000
χ4322-22-2-122-22-21122-12-1-11-2-211-1-111-1-1112-22-2-12-2-11-112-22-2-11-11-11-11-11-1100000000−i3i300000000−i3i3−i3i3−i3i30000
χ4422-22-2-122-22-21122-12-1-11-2-211-1-111-1-1112-22-2-12-2-11-112-22-2-11-11-11-11-11-1100000000i3−i300000000i3−i3i3−i3i3−i30000
χ4522-22-2-122-22-21122-12-1-11-2-211-1-111-1-1112-22-2-1-221-11-1-22-22-11-111-11-11-11-100000000−i3i300000000−i3i3i3−i3i3−i30000
χ4622-22-2-122-22-21122-12-1-11-2-211-1-111-1-1112-22-2-1-221-11-1-22-22-11-111-11-11-11-100000000i3−i300000000i3−i3−i3i3−i3i30000
χ4722-2-22222-2-22-2-2-2-2222-22-22-2-2-2-22222-222-2-22-200000000002-2-2200000000000000000000000000000000002-2
χ4822-2-22222-2-22-2-2-2-2222-22-22-2-2-2-22222-222-2-22-200000000002-2-220000000000000000000000000000000000-22
χ4922-2-2222-222-2-2-2-2-2222-22-22-2-2-2-2222-22-2-222-220000000000-222-20000000000000000002-2000000002-2-220000
χ5022-2-2222-222-2-2-2-2-2222-22-22-2-2-2-2222-22-2-222-220000000000-222-2000000000000000000-2200000000-222-20000
χ5122-2-22-12-222-211-2-2-12-11-1-221111-1-1-11-11-222-2-100−i3i3i3−i300001-1-11−i3i3i3−i3−i3i3i3−i300000000−i3i32-2000000i3−i3-111-10000
χ5222-2-22-12-222-211-2-2-12-11-1-221111-1-1-11-11-222-2-100−i3i3i3−i300001-1-11−i3i3i3−i3−i3i3i3−i300000000i3−i3-22000000−i3i31-1-110000
χ5322-2-22-12-222-211-2-2-12-11-1-221111-1-1-11-11-222-2-100i3−i3−i3i300001-1-11i3−i3−i3i3i3−i3−i3i300000000−i3i3-22000000i3−i31-1-110000
χ5422-2-22-12-222-211-2-2-12-11-1-221111-1-1-11-11-222-2-100i3−i3−i3i300001-1-11i3−i3−i3i3i3−i3−i3i300000000i3−i32-2000000−i3i3-111-10000
χ5544444-24-4-4-4-4-2-244-24-2-2-244-2-2-2-2-2-2-2222-4-4-4-4200000000002222000000000000000000000000000000000000
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
χ60444-4-44-244-4-444224-2-2-4-4-22-2-22222-244-4-2-222-40000000000-2-222000000000000000000000000000000000000
χ61444-4-44-2-4-44444224-2-2-4-4-22-2-22222-2-4-4422-2-24000000000022-2-2000000000000000000000000000000000000
χ62444-4-4-2444-4-4-2-2-4-4-24-2224-4-2-22222-2-2-2244-4-420000000000-2-222000000000000000000000000000000000000
χ63444-4-4-2-244-4-4-2-222-2-2122-2211-1-1-1-11-2-22-2-2222000000000011-1-133-3-3-3-3330000000000000000000000000000
χ64444-4-4-2-244-4-4-2-222-2-2122-2211-1-1-1-11-2-22-2-2222000000000011-1-1-3-33333-3-30000000000000000000000000000
χ65444-4-4-2-2-4-444-2-222-2-2122-2211-1-1-1-1122-222-2-2-200−2i3−2i32i32i30000-1-111i3i3−i3−i3i3i3−i3−i30000000000000000000000000000
χ66444-4-4-2-2-4-444-2-222-2-2122-2211-1-1-1-1122-222-2-2-2002i32i3−2i3−2i30000-1-111−i3−i3i3i3−i3−i3i3i30000000000000000000000000000
χ6744-44-4-24-44-442244-24-2-22-4-422-2-222-22-2-2-44-44200000000002-22-2000000000000000000000000000000000000
χ6844-44-4-2-24-44-422-2-2-2-21-2222-1-111-1-11-222-22-22-24-4-22-22-22-221-11-11-11-11-11-10000000000000000000000000000
χ6944-44-4-2-24-44-422-2-2-2-21-2222-1-111-1-11-222-22-22-2-442-22-22-22-21-11-1-11-11-11-110000000000000000000000000000
χ7044-44-4-2-2-44-4422-2-2-2-21-2222-1-111-1-112-2-22-22-22000000−2i32i32i3−2i3-11-11i3−i3i3−i3−i3i3−i3i30000000000000000000000000000
χ7144-44-4-2-2-44-4422-2-2-2-21-2222-1-111-1-112-2-22-22-220000002i3−2i3−2i32i3-11-11−i3i3−i3i3i3−i3i3−i30000000000000000000000000000
χ7244-4-444-24-4-44-4-4224-2-2-442-22222-2-2-24-44-222-2-40000000000-222-2000000000000000000000000000000000000
χ7344-4-444-2-444-4-4-4224-2-2-442-22222-2-2-2-44-42-2-22400000000002-2-22000000000000000000000000000000000000
χ7444-4-44-244-4-4422-4-4-24-22-2-442222-2-2-2-22-24-4-4420000000000-222-2000000000000000000000000000000000000
χ7544-4-44-2-24-4-442222-2-212-22-2-1-1-1-1111-22-2-222-2200000000001-1-113-3-33-333-30000000000000000000000000000
χ7644-4-44-2-24-4-442222-2-212-22-2-1-1-1-1111-22-2-222-2200000000001-1-11-333-33-3-330000000000000000000000000000
χ7744-4-44-2-2-444-42222-2-212-22-2-1-1-1-11112-222-2-22-200−2i32i32i3−2i30000-111-1i3−i3−i3i3i3−i3−i3i30000000000000000000000000000
χ7844-4-44-2-2-444-42222-2-212-22-2-1-1-1-11112-222-2-22-2002i3−2i3−2i32i30000-111-1−i3i3i3−i3−i3i3i3−i30000000000000000000000000000
χ798-80008800000000-8-880000000000-80000000000000000000000000000000000000000000000000000000000
χ808-80008-4000000−4i34i3-84-4000000−4i34i30040000000000000000000000000000000000000000000000000000000000
χ818-80008-40000004i3−4i3-84-40000004i3−4i30040000000000000000000000000000000000000000000000000000000000
χ828-8000-480000−4i34i3004-8-40000−4i34i3000040000000000000000000000000000000000000000000000000000000000
χ838-8000-4800004i3−4i3004-8-400004i3−4i3000040000000000000000000000000000000000000000000000000000000000
χ848-8000-4-40000−4i34i3−4i34i344200002i3−2i32i3−2i36-6-20000000000000000000000000000000000000000000000000000000000
χ858-8000-4-40000−4i34i34i3−4i344200002i3−2i3−2i32i3-66-20000000000000000000000000000000000000000000000000000000000
χ868-8000-4-400004i3−4i3−4i34i34420000−2i32i32i3−2i3-66-20000000000000000000000000000000000000000000000000000000000
χ878-8000-4-400004i3−4i34i3−4i34420000−2i32i3−2i32i36-6-20000000000000000000000000000000000000000000000000000000000

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