Finite Group Databasebeta

← Group #11792383

Character table — Group #11792383

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order122223344446666121236666666612121212121212121212124466121212121212121212121212121212121212244466888812121212121224242424242424242444
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-11111-1-111-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-111-1-11111-1-1-1-11111-1-1-1-1
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
χ51111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-1111111-1-1-1-1-1-1-1-1-1-111
χ61111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-1111111-1-1
χ71111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-111-1-1-1-111111111-1-1-1-111-1-1
χ81111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-111
χ92222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-200220000-2-2000000000000000000000000000000000000002-2
χ102222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-200220000-2-200000000000000000000000000000000000000-22
χ11222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-12200-1-12200-1-10000-1-1-1-100000000
χ12222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-20011-2-200110000111100000000
χ13222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-1-1-2-2-2-2-1-11111111111112200-1-1-2-200-1-10000111100000000
χ14222222-1222222-12-1-1-122-1-1-1-1-1-1-1-1-1222-1-1-1-12-2-2-1-1-2-2-2-2-1-1111111111111-2-200112200110000-1-1-1-100000000
χ1522222-122222-1-12-122-1-1-1222-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1002200002200-1-1-1-10000-1-1-1-10000
χ1622222-122222-1-12-122-1-1-1222-1-1-1222-1-1-1-1-1-1-1-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-100-2-20000-2-2001111000011110000
χ1722222-122222-1-12-122-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-2-2-1-11111-1-1-2-2-2-21111111100220000-2-200-1-1-1-1000011110000
χ1822222-122222-1-12-122-1-1-1222-1-1-1222-1-1-1-1-1-1-1-1-2-2-1-11111-1-1-2-2-2-21111111100-2-20000220011110000-1-1-1-10000
χ19222-2-22222-2-2-2-222-2-222-22-2-22-2-222-222-222-2-2-22i−2i2-22i2i−2i−2i2-22i2i−2i−2i2i2i2i2i−2i−2i−2i−2i0000000000000000000000000000
χ20222-2-22222-2-2-2-222-2-222-22-2-22-2-222-222-222-2-2-2−2i2i2-2−2i−2i2i2i2-2−2i−2i2i2i−2i−2i−2i−2i2i2i2i2i0000000000000000000000000000
χ21222-2-222-2-222-2-2222222-22-2-22-2-2-2-22-2-22-2-2222002-20000-220000000000000000000000000000000000002-200
χ22222-2-222-2-222-2-2222222-22-2-22-2-2-2-22-2-22-2-2222002-20000-22000000000000000000000000000000000000-2200
χ23222-2-22-122-2-2-2-2-1211-12-2-111-111-1-1122-2-1-111-22i−2i-112i2i−2i−2i-11−i−iii−i−i−i−iiiii0000−i3i30000−i3i3000033−3−300000000
χ24222-2-22-122-2-2-2-2-1211-12-2-111-111-1-1122-2-1-111-22i−2i-112i2i−2i−2i-11−i−iii−i−i−i−iiiii0000i3−i30000i3−i30000−3−33300000000
χ25222-2-22-122-2-2-2-2-1211-12-2-111-111-1-1122-2-1-111-2−2i2i-11−2i−2i2i2i-11ii−i−iiiii−i−i−i−i0000−i3i30000−i3i30000−3−33300000000
χ26222-2-22-122-2-2-2-2-1211-12-2-111-111-1-1122-2-1-111-2−2i2i-11−2i−2i2i2i-11ii−i−iiiii−i−i−i−i0000i3−i30000i3−i3000033−3−300000000
χ27222-2-2-1222-2-2112-1-2-2-1-112-2-2-11122-2-1-11-1-11112i−2i-11−i−iii-112i2i−2i−2i−i−i−i−iiiii000000000000−i3−i3i3i3000033−3−30000
χ28222-2-2-1222-2-2112-1-2-2-1-112-2-2-11122-2-1-11-1-11112i−2i-11−i−iii-112i2i−2i−2i−i−i−i−iiiii000000000000i3i3−i3−i30000−3−3330000
χ29222-2-2-1222-2-2112-1-2-2-1-112-2-2-11122-2-1-11-1-1111−2i2i-11ii−i−i-11−2i−2i2i2iiiii−i−i−i−i000000000000−i3−i3i3i30000−3−3330000
χ30222-2-2-1222-2-2112-1-2-2-1-112-2-2-11122-2-1-11-1-1111−2i2i-11ii−i−i-11−2i−2i2i2iiiii−i−i−i−i000000000000i3i3−i3−i3000033−3−30000
χ3122-22-2222-22-22222222-2-2-2-222222-2-22-222222-200-2-20000-2-20000000000000000002-2000000002-22-200000000
χ3222-22-2222-22-22222222-2-2-2-222222-2-22-222222-200-2-20000-2-2000000000000000000-2200000000-22-2200000000
χ3322-22-222-22-222222-2-22-2-2-2-22222-222-22-2-2-2-2-2200-2-2000022000000000000000000002-200000000002-22-20000
χ3422-22-222-22-222222-2-22-2-2-2-22222-222-22-2-2-2-2-2200-2-200002200000000000000000000-220000000000-22-220000
χ3522-22-22-12-22-222-12-1-1-1-2-211-1-1-1-1-1112-22-1-1-1-1-20011000011−i3i3−i3i3−i3−i3i3i3−i3−i3i3i30000−i3i32-200i3−i30000-11-1100000000
χ3622-22-22-12-22-222-12-1-1-1-2-211-1-1-1-1-1112-22-1-1-1-1-20011000011−i3i3−i3i3−i3−i3i3i3−i3−i3i3i30000i3−i3-2200−i3i300001-11-100000000
χ3722-22-22-12-22-222-12-1-1-1-2-211-1-1-1-1-1112-22-1-1-1-1-20011000011i3−i3i3−i3i3i3−i3−i3i3i3−i3−i30000−i3i3-2200i3−i300001-11-100000000
χ3822-22-22-12-22-222-12-1-1-1-2-211-1-1-1-1-1112-22-1-1-1-1-20011000011i3−i3i3−i3i3i3−i3−i3i3i3−i3−i30000i3−i32-200−i3i30000-11-1100000000
χ3922-22-2-12-22-22-1-12-1-2-2-111-2-22-1-1-1-2221-111111-10011−i3i3−i3i3-1-10000−i3i3−i3i3−i3i3−i3i3000000002-200−i3i3−i3i30000-11-110000
χ4022-22-2-12-22-22-1-12-1-2-2-111-2-22-1-1-1-2221-111111-10011−i3i3−i3i3-1-10000−i3i3−i3i3−i3i3−i3i300000000-2200i3−i3i3−i300001-11-10000
χ4122-22-2-12-22-22-1-12-1-2-2-111-2-22-1-1-1-2221-111111-10011i3−i3i3−i3-1-10000i3−i3i3−i3i3−i3i3−i3000000002-200i3−i3i3−i30000-11-110000
χ4222-22-2-12-22-22-1-12-1-2-2-111-2-22-1-1-1-2221-111111-10011i3−i3i3−i3-1-10000i3−i3i3−i3i3−i3i3−i300000000-2200−i3i3−i3i300001-11-10000
χ4322-2-22222-2-22-2-222-2-22-22-22-22-2-22-222-2-222-2-2200-220000-220000000000002-200220000-2-20000000000000000
χ4422-2-22222-2-22-2-222-2-22-22-22-22-2-22-222-2-222-2-2200-220000-22000000000000-2200-2-20000220000000000000000
χ4522-2-2222-222-2-2-222222-22-22-22-2-2-22-2-222-2-222-200-2200002-2000000000000002-2000000002-2-22000000000000
χ4622-2-2222-222-2-2-222222-22-22-22-2-2-22-2-222-2-222-200-2200002-200000000000000-2200000000-222-2000000000000
χ4722-2-222-12-2-22-2-2-1211-1-221-11-111-11-12-2-2-1-1112001-100001-13−3−3333−3−3−3−3332-200-1-100001100003−3−3300000000
χ4822-2-222-12-2-22-2-2-1211-1-221-11-111-11-12-2-2-1-1112001-100001-13−3−3333−3−3−3−333-2200110000-1-10000−333−300000000
χ4922-2-222-12-2-22-2-2-1211-1-221-11-111-11-12-2-2-1-1112001-100001-1−333−3−3−33333−3−32-200-1-10000110000−333−300000000
χ5022-2-222-12-2-22-2-2-1211-1-221-11-111-11-12-2-2-1-1112001-100001-1−333−3−3−33333−3−3-2200110000-1-100003−3−3300000000
χ5122-2-22-12-222-2112-122-11-1-22-2-111-22-21-1-111-1-11001-13−3−33-1100003−33−3−33−33002-200000000-111-100003−3−330000
χ5222-2-22-12-222-2112-122-11-1-22-2-111-22-21-1-111-1-11001-13−3−33-1100003−33−3−33−3300-22000000001-1-110000−333−30000
χ5322-2-22-12-222-2112-122-11-1-22-2-111-22-21-1-111-1-11001-1−333−3-110000−33−333−33−3002-200000000-111-10000−333−30000
χ5422-2-22-12-222-2112-122-11-1-22-2-111-22-21-1-111-1-11001-1−333−3-110000−33−333−33−300-22000000001-1-1100003−3−330000
χ55444444-2-4-4-4-444-2422-244-2-2-2-2-2-2222-4-4-42222-400-2-20000220000000000000000000000000000000000000000
χ5644444-24-4-4-4-4-2-24-2-4-4-2-2-2444-2-2-2-4-4-42222222200-2-20000220000000000000000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-21111-24411-2-2-2-211-2-2-2-2111111110000000000000000000000000000
χ5844444-2-24444-2-2-2-2-2-21-2-2-2-2-2111-2-2-2-2-2-21111-2-4-4112222112222-1-1-1-1-1-1-1-10000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-2111222222-1-1-1-1200110000-1-100003-3-333-3-330000000000000000000000000000
χ6044444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2-2111222222-1-1-1-1200110000-1-10000-333-3-333-30000000000000000000000000000
χ61444-4-44-2-4-444-4-4-24-2-2-24-4-222-22222-2-4-4422-2-2400-2200002-20000000000000000000000000000000000000000
χ62444-4-4-24-4-444224-244-2-224-4-4-222-4-4422-222-2-2-200-2200002-20000000000000000000000000000000000000000
χ63444-4-4-2-244-4-422-2-2221-22-2221-1-1-2-22-2-2211-1-124i−4i1-1−2i−2i2i2i1-1−2i−2i2i2iiiii−i−i−i−i0000000000000000000000000000
χ64444-4-4-2-244-4-422-2-2221-22-2221-1-1-2-22-2-2211-1-12−4i4i1-12i2i−2i−2i1-12i2i−2i−2i−i−i−i−iiiii0000000000000000000000000000
χ65444-4-4-2-2-4-44422-2-2-2-21-22-2221-1-122-222-2-1-111-2001-10000-1100003i−3i−3i3i−3i3i3i−3i0000000000000000000000000000
χ66444-4-4-2-2-4-44422-2-2-2-21-22-2221-1-122-222-2-1-111-2001-10000-110000−3i3i3i−3i3i−3i−3i3i0000000000000000000000000000
χ6744-44-44-2-44-4444-2422-2-4-422-2-2-2-22-2-2-44-42222400220000-2-20000000000000000000000000000000000000000
χ6844-44-4-244-44-4-2-24-244-222-4-44-2-2-24-4-4-22-2-2-2-2-2200220000220000000000000000000000000000000000000000
χ6944-44-4-2-24-44-4-2-2-2-2-2-212222-2111-222-22-21111200-1-10000-1-1−2i32i3−2i32i3i3i3−i3−i3i3i3−i3−i30000000000000000000000000000
χ7044-44-4-2-24-44-4-2-2-2-2-2-212222-2111-222-22-21111200-1-10000-1-12i3−2i32i3−2i3−i3−i3i3i3−i3−i3i3i30000000000000000000000000000
χ7144-44-4-2-2-44-44-2-2-2-22212222-21112-2-22-22-1-1-1-1-200-1-1−2i32i3−2i32i3110000i3−i3i3−i3i3−i3i3−i30000000000000000000000000000
χ7244-44-4-2-2-44-44-2-2-2-22212222-21112-2-22-22-1-1-1-1-200-1-12i3−2i32i3−2i3110000−i3i3−i3i3−i3i3−i3i30000000000000000000000000000
χ7344-4-444-2-444-4-4-4-24-2-2-2-442-22-2222-22-44422-2-2-4002-20000-220000000000000000000000000000000000000000
χ7444-4-44-244-4-44224-2-4-4-22-2-44-4-2224-44-222-2-222-2002-200002-20000000000000000000000000000000000000000
χ7544-4-44-2-24-4-4422-2-22212-22-221-1-1-22-2-22211-1-1-200-110000-1123−23−2323−3−33333−3−30000000000000000000000000000
χ7644-4-44-2-24-4-4422-2-22212-22-221-1-1-22-2-22211-1-1-200-110000-11−232323−2333−3−3−3−3330000000000000000000000000000
χ7744-4-44-2-2-444-422-2-2-2-212-22-221-1-12-222-2-2-1-111200-1123−23−23231-10000−33−333−33−30000000000000000000000000000
χ7844-4-44-2-2-444-422-2-2-2-212-22-221-1-12-222-2-2-1-111200-11−232323−231-100003−33−3−33−330000000000000000000000000000
χ798-800088000000-8-800800000-8000000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000004-843−43-4000004000000000043−43000000000000000000000000000000000000000000000000000
χ818-80008-40000004-8−4343-40000040000000000−4343000000000000000000000000000000000000000000000000000
χ828-8000-480000−4i34i3-8400-4000004−4i34i30000000000000000000000000000000000000000000000000000000000000
χ838-8000-4800004i3−4i3-8400-40000044i3−4i30000000000000000000000000000000000000000000000000000000000000
χ848-8000-4-40000−4i34i34443−43200000-22i3−2i30000006i−6i−2323000000000000000000000000000000000000000000000000000
χ858-8000-4-40000−4i34i344−4343200000-22i3−2i3000000−6i6i23−23000000000000000000000000000000000000000000000000000
χ868-8000-4-400004i3−4i34443−43200000-2−2i32i3000000−6i6i−2323000000000000000000000000000000000000000000000000000
χ878-8000-4-400004i3−4i344−4343200000-2−2i32i30000006i−6i23−23000000000000000000000000000000000000000000000000000

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