Finite Group Databasebeta

← Group #11792374

Character table — Group #11792374

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order1222233444466661212366666666121212121212121212121266881212242424242424242424242424242424242244444466661212121212121212121212124488
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-1-1-11111-1-1-1-11111-1-1-1-11111-1-1-1-1
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
χ5111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-111-1-111-1-1-1-1-1-111-1-1111111-1-1
χ6111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-1-11111-1-1111111-1-1-1-1-1-1-1-111
χ7111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1111-1-1-1-111-1-1-1-1-1-1111111-1-111
χ8111111111111111111111111111111111111111-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11-1-111-1-1111111-1-111-1-1-1-111-1-1
χ92222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-200000000000000000000000000000000000000002-200
χ102222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-22200-2-20000000000000000000000000000000000000000-2200
χ11222222-12222222-1-1-1-122-1-1-1-1-1-1222-1-1-1-12-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-122220000-1-1-1-10000-1-1-1-100000000
χ12222222-12222222-1-1-1-122-1-1-1-1-1-1222-1-1-1-12-1-1-1-1-122-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-2-2-2-2000011110000111100000000
χ13222222-12222222-1-1-1-122-1-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-2-2-1-1-2-2-2-21111111111112-22-20000-1-1110000-1-11100000000
χ14222222-12222222-1-1-1-122-1-1-1-1-1-1222-1-1-1-12-1-1-1-1-1-2-2-1-1-2-2-2-2111111111111-22-22000011-1-1000011-1-100000000
χ1522222-122222-1-1-1222-1-1-1222-1-1-1-1-1-122-1-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-1000022220000-1-1-1-10000-1-1-1-10000
χ1622222-122222-1-1-1222-1-1-1222-1-1-1-1-1-122-1-1-12-1-1-1-122-1-1-1-1-1-12222-1-1-1-1-1-1-1-10000-2-2-2-200001111000011110000
χ1722222-122222-1-1-1222-1-1-1222-1-1-1-1-1-122-1-1-12-1-1-1-1-2-2-1-11111-2-2-2-211111111000022-2-2000011110000-1-1-1-10000
χ1822222-122222-1-1-1222-1-1-1222-1-1-1-1-1-122-1-1-12-1-1-1-1-2-2-1-11111-2-2-2-2111111110000-2-2220000-1-1-1-1000011110000
χ19222-2-22222-2-2-2-2222222-22-2-2-2-2222-22-222-2-2-2-22-2002-200000000000000000000002i−2i00002i2i−2i−2i000000000000
χ20222-2-22222-2-2-2-2222222-22-2-2-2-2222-22-222-2-2-2-22-2002-20000000000000000000000−2i2i0000−2i−2i2i2i000000000000
χ21222-2-222-2-222-2-222-2-222-22-2-2-2-22-2-22-22-2-222222-200-220000000000000000020-200000022000000-2-200000000
χ22222-2-222-2-222-2-222-2-222-22-2-2-2-22-2-22-22-2-222222-200-2200000000000000000-202000000-2-20000002200000000
χ23222-2-22-1-2-222-2-22-111-12-2-11111-1-2-221-1112-1-1-1-11001-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i3020-20000−i3i3-1-10000−i3i31100000000
χ24222-2-22-1-2-222-2-22-111-12-2-11111-1-2-221-1112-1-1-1-11001-10000−i3−i3i3i3−i3−i3−i3−i3i3i3i3i30-2020000i3−i3110000i3−i3-1-100000000
χ25222-2-22-1-2-222-2-22-111-12-2-11111-1-2-221-1112-1-1-1-11001-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i3020-20000i3−i3-1-10000i3−i31100000000
χ26222-2-22-1-2-222-2-22-111-12-2-11111-1-2-221-1112-1-1-1-11001-10000i3i3−i3−i3i3i3i3i3−i3−i3−i3−i30-2020000−i3i3110000−i3i3-1-100000000
χ27222-2-2-1222-2-211-1222-1-112-2-211-1-1-112-2-1-11-211-1100-1133−3−3000033−3−333−3−30000002i−2i0000−i−iii0000−i3−i3i3i30000
χ28222-2-2-1222-2-211-1222-1-112-2-211-1-1-112-2-1-11-211-1100-1133−3−3000033−3−333−3−3000000−2i2i0000ii−i−i0000i3i3−i3−i30000
χ29222-2-2-1222-2-211-1222-1-112-2-211-1-1-112-2-1-11-211-1100-11−3−3330000−3−333−3−3330000002i−2i0000−i−iii0000i3i3−i3−i30000
χ30222-2-2-1222-2-211-1222-1-112-2-211-1-1-112-2-1-11-211-1100-11−3−3330000−3−333−3−333000000−2i2i0000ii−i−i0000−i3−i3i3i30000
χ3122-22-2222-22-22222222-2-2-22-22222-2-2-2-2222222-2-22-2-2-22-22-22-22-22-22-22-22-20000000000000000000000000000
χ3222-22-2222-22-22222222-2-2-22-22222-2-2-2-2222222-2-2-22-2-2-22-22-22-22-22-22-22-220000000000000000000000000000
χ3322-22-222-22-222222-2-22-2-2-22-2222-22222-2-2-2-2-2-2-2-200220000000000000000000000000000000000000000002-2
χ3422-22-222-22-222222-2-22-2-2-22-2222-22222-2-2-2-2-2-2-2-20022000000000000000000000000000000000000000000-22
χ3522-22-22-12-22-2222-1-1-1-1-2-21-11-1-1-12-2-211-1-12-1-1-1112-2112-22-2-11-11-11-11-11-1100000000−i3i3−i3i30000i3−i3−i3i300000000
χ3622-22-22-12-22-2222-1-1-1-1-2-21-11-1-1-12-2-211-1-12-1-1-1112-2112-22-2-11-11-11-11-11-1100000000i3−i3i3−i30000−i3i3i3−i300000000
χ3722-22-22-12-22-2222-1-1-1-1-2-21-11-1-1-12-2-211-1-12-1-1-111-2211-22-221-11-11-11-11-11-100000000−i3i3i3−i30000i3−i3i3−i300000000
χ3822-22-22-12-22-2222-1-1-1-1-2-21-11-1-1-12-2-211-1-12-1-1-111-2211-22-221-11-11-11-11-11-100000000i3−i3−i3i30000−i3i3−i3i300000000
χ3922-22-2-122-22-2-1-1-1222-111-22-2-1-1-1-111-2-2-1-1-12-1-1112-211-11-112-22-2-11-11-11-11000000000000−i3i3−i3i30000−i3i3−i3i30000
χ4022-22-2-122-22-2-1-1-1222-111-22-2-1-1-1-111-2-2-1-1-12-1-1112-211-11-112-22-2-11-11-11-11000000000000i3−i3i3−i30000i3−i3i3−i30000
χ4122-22-2-122-22-2-1-1-1222-111-22-2-1-1-1-111-2-2-1-1-12-1-111-22111-11-1-22-221-11-11-11-1000000000000−i3i3−i3i30000i3−i3i3−i30000
χ4222-22-2-122-22-2-1-1-1222-111-22-2-1-1-1-111-2-2-1-1-12-1-111-22111-11-1-22-221-11-11-11-1000000000000i3−i3i3−i30000−i3i3−i3i30000
χ4322-2-22222-2-22-2-222222-22-2-22-2-222-22-2222-2-2-2-2-2200-22000000000000000000002-2000000000000002-2-220000
χ4422-2-22222-2-22-2-222222-22-2-22-2-222-22-2222-2-2-2-2-2200-2200000000000000000000-2200000000000000-222-20000
χ4522-2-2222-222-2-2-222-2-22-22-2-22-2-22-22-22-2-2-22222-22002-2000000000000000020-20000022000000-2-20000000000
χ4622-2-2222-222-2-2-222-2-22-22-2-22-2-22-22-22-2-2-22222-22002-20000000000000000-20200000-2-2000000220000000000
χ4722-2-222-1-222-2-2-22-111-1-2211-111-1-22-2-11112-1-1-11-100-110000−i3i3i3−i3−i3i3−i3i3i3−i3i3−i320-200000-1-1−i3i3000011i3−i300000000
χ4822-2-222-1-222-2-2-22-111-1-2211-111-1-22-2-11112-1-1-11-100-110000−i3i3i3−i3−i3i3−i3i3i3−i3i3−i3-2020000011i3−i30000-1-1−i3i300000000
χ4922-2-222-1-222-2-2-22-111-1-2211-111-1-22-2-11112-1-1-11-100-110000i3−i3−i3i3i3−i3i3−i3−i3i3−i3i320-200000-1-1i3−i3000011−i3i300000000
χ5022-2-222-1-222-2-2-22-111-1-2211-111-1-22-2-11112-1-1-11-100-110000i3−i3−i3i3i3−i3i3−i3−i3i3−i3i3-2020000011−i3i30000-1-1i3−i300000000
χ5122-2-22-122-2-2211-1222-11-1-2-2211-1-11-1-22-1-11-2111-1001-13−3−3300003−3−333−3−3300002-20000003−3−330000-111-10000
χ5222-2-22-122-2-2211-1222-11-1-2-2211-1-11-1-22-1-11-2111-1001-13−3−3300003−3−333−3−330000-22000000−333−300001-1-110000
χ5322-2-22-122-2-2211-1222-11-1-2-2211-1-11-1-22-1-11-2111-1001-1−333−30000−333−3−333−300002-2000000−333−30000-111-10000
χ5422-2-22-122-2-2211-1222-11-1-2-2211-1-11-1-22-1-11-2111-1001-1−333−30000−333−3−333−30000-220000003−3−3300001-1-110000
χ55444444-2-4-4-4-4444-222-244-2-2-2-2-2-2-4-4-42222-4222-2-2002200000000000000000000000000000000000000000000
χ5644444-24-4-4-4-4-2-2-24-4-4-2-2-2444-2-2-2222-4-4222-422-2-2002200000000000000000000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-211-2-211114411-2-2-2-2-2-2-2-2111111110000000000000000000000000000
χ5844444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-211-2-21111-4-41122222222-1-1-1-1-1-1-1-10000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-211122222-1-122-1-11100-1-1000000003i3i−3i−3i−3i−3i3i3i0000000000000000000000000000
χ6044444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-211122222-1-122-1-11100-1-100000000−3i−3i3i3i3i3i−3i−3i0000000000000000000000000000
χ61444-4-44-244-4-4-4-44-2-2-2-24-4-22222-244-4-22-2-2-4222-2200-2200000000000000000000000000000000000000000000
χ62444-4-4-24-4-44422-24-4-4-2-224-4-422-222-2-4422-24-2-2-22002-200000000000000000000000000000000000000000000
χ63444-4-4-2-244-4-422-2-2-2-21-22-222-1-11-2-22-221122-1-11-1001-12323−23−230000−3−333−3−3330000000000000000000000000000
χ64444-4-4-2-244-4-422-2-2-2-21-22-222-1-11-2-22-221122-1-11-1001-1−23−232323000033−3−333−3−30000000000000000000000000000
χ65444-4-4-2-2-4-44422-2-2221-22-222-1-1122-22-2-1-1-2-2111-100-110000−2i3−2i32i32i3i3i3i3i3−i3−i3−i3−i30000000000000000000000000000
χ66444-4-4-2-2-4-44422-2-2221-22-222-1-1122-22-2-1-1-2-2111-100-1100002i32i3−2i3−2i3−i3−i3−i3−i3i3i3i3i30000000000000000000000000000
χ6744-44-44-2-44-44444-222-2-4-42-22-2-2-2-444-2-222-42222200-2-200000000000000000000000000000000000000000000
χ6844-44-4-24-44-44-2-2-24-4-4-222-44-4-2-2-22-2-244222-4222200-2-200000000000000000000000000000000000000000000
χ6944-44-4-2-24-44-4-2-2-2-2-2-21222-22111-2222211-2-211-1-14-4-1-1-22-22-22-221-11-11-11-10000000000000000000000000000
χ7044-44-4-2-24-44-4-2-2-2-2-2-21222-22111-2222211-2-211-1-1-44-1-12-22-22-22-2-11-11-11-110000000000000000000000000000
χ7144-44-4-2-2-44-44-2-2-2-2221222-221112-2-2-2-2-1-122-1-1-1-10011000000003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000
χ7244-44-4-2-2-44-44-2-2-2-2221222-221112-2-2-2-2-1-122-1-1-1-1001100000000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000
χ7344-4-444-24-4-44-4-44-2-2-2-2-4422-222-24-442-2-2-2-42222-2002-200000000000000000000000000000000000000000000
χ7444-4-44-24-444-422-24-4-4-22-2-4-4422-22-224-422-24-2-22-200-2200000000000000000000000000000000000000000000
χ7544-4-44-2-24-4-4422-2-2-2-212-222-2-1-11-22-22-21122-1-1-1100-1123−23−23230000−333−3−333−30000000000000000000000000000
χ7644-4-44-2-24-4-4422-2-2-2-212-222-2-1-11-22-22-21122-1-1-1100-11−232323−2300003−3−333−3−330000000000000000000000000000
χ7744-4-44-2-2-444-422-2-22212-222-2-1-112-22-22-1-1-2-211-11001-10000−2i32i32i3−2i3i3−i3i3−i3−i3i3−i3i30000000000000000000000000000
χ7844-4-44-2-2-444-422-2-22212-222-2-1-112-22-22-1-1-2-211-11001-100002i3−2i3−2i32i3−i3i3−i3i3i3−i3i3−i30000000000000000000000000000
χ798-800088000000-8-80080000000-80000000000000000000000000000000000000000000000000000000000000
χ808-80008-4000000-8443−43-4000000040000043−43000000000000000000000000000000000000000000000000000000
χ818-80008-4000000-84−4343-40000000400000−4343000000000000000000000000000000000000000000000000000000
χ828-8000-480000−4i34i34-800-400000−4i34i340000000000000000000000000000000000000000000000000000000000000
χ838-8000-4800004i3−4i34-800-4000004i3−4i340000000000000000000000000000000000000000000000000000000000000
χ848-8000-4-40000−4i34i34443−432000002i3−2i3-200000−2323006i−6i00000000000000000000000000000000000000000000000000
χ858-8000-4-40000−4i34i344−43432000002i3−2i3-20000023−2300−6i6i00000000000000000000000000000000000000000000000000
χ868-8000-4-400004i3−4i34443−43200000−2i32i3-200000−232300−6i6i00000000000000000000000000000000000000000000000000
χ878-8000-4-400004i3−4i344−4343200000−2i32i3-20000023−23006i−6i00000000000000000000000000000000000000000000000000

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