Finite Group Databasebeta

← Group #11795019

Character table — Group #11795019

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84C85C86C87
size1122222222222222244444444444444444444888888888888888888888824242424242424242424242424242424242424242424242472727272
order1222233444466661212366666666121212121212121212121244661212121212121212121212121212121212122244666688881212121224242424242424248888
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111111-1-1111111-1-1-1-1-1-11111-1-1-1-1-1-1-1-1
χ311111111111111111111111111111111111111111111111111111111111-1-111-1-1-1-1-1-1111111-1-1-1-11111-1-1-1-1
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
χ51111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-11111-1-1-1-1-1-1-1-111-1-1
χ61111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-111-1-11111-1-111-1-1-1-1-1-1-1-11111-1-111
χ71111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-111-1-111111111-1-1-1-1-1-111
χ81111111111111111111111111111111111111-1-111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-11111111111-1-1
χ92222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-200220000-2-2000000000000000000000000000000000000002i−2i
χ102222222-2-2-2-22222-2-2222222222-2-2-2-2-2-2-2-2-2-2-200220000-2-200000000000000000000000000000000000000−2i2i
χ11222222-122222-1-1-122-12-1-12-1-1-1222-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-12200-1-1-1-122000000-1-1-1-100000000
χ12222222-122222-1-1-122-12-1-12-1-1-1222-1-1-1-1-1-1-12-122-1-1-1-1-1-1-1-12222-1-1-1-1-1-1-1-1-2-2001111-2-2000000111100000000
χ13222222-122222-1-1-122-12-1-12-1-1-1222-1-1-1-1-1-1-12-1-2-2-1-11111-1-1-2-2-2-2111111112200-1-1-1-1-2-2000000111100000000
χ14222222-122222-1-1-122-12-1-12-1-1-1222-1-1-1-1-1-1-12-1-2-2-1-11111-1-1-2-2-2-211111111-2-200111122000000-1-1-1-100000000
χ1522222-122222-1222-1-1-1-122-1-1-1-1-1-1-1222-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-1002200000022-1-1-1-10000-1-1-1-10000
χ1622222-122222-1222-1-1-1-122-1-1-1-1-1-1-1222-1-1-1-1-1222-1-12222-1-1-1-1-1-1-1-1-1-1-1-1-1-100-2-2000000-2-21111000011110000
χ1722222-122222-1222-1-1-1-122-1-1-1-1-1-1-1222-1-1-1-1-12-2-2-1-1-2-2-2-2-1-11111111111110022000000-2-2-1-1-1-1000011110000
χ1822222-122222-1222-1-1-1-122-1-1-1-1-1-1-1222-1-1-1-1-12-2-2-1-1-2-2-2-2-1-111111111111100-2-20000002211110000-1-1-1-10000
χ19222-2-22222-2-222-2-222222-2-22-2-2-2-2-22-2-222-2-222002-200002-2000000000000002i−2i000000002i2i−2i−2i000000000000
χ20222-2-22222-2-222-2-222222-2-22-2-2-2-2-22-2-222-2-222002-200002-200000000000000−2i2i00000000−2i−2i2i2i000000000000
χ21222-2-222-2-22222-2-2-2-2222-2-22-2-2-222-222-2-222-2-2002-20000-22000000000000000000002i−2i0000002i2i−2i−2i00000000
χ22222-2-222-2-22222-2-2-2-2222-2-22-2-2-222-222-2-222-2-2002-20000-2200000000000000000000−2i2i000000−2i−2i2i2i00000000
χ23222-2-22-1-2-2222-111-2-2-12-11-2-111-2221-1-111-1-1-2100-1133−3−31-100003333−3−3−3−30000−i3−i3i3i32i−2i000000−i−iii00000000
χ24222-2-22-1-2-2222-111-2-2-12-11-2-111-2221-1-111-1-1-2100-1133−3−31-100003333−3−3−3−30000i3i3−i3−i3−2i2i000000ii−i−i00000000
χ25222-2-22-1-2-2222-111-2-2-12-11-2-111-2221-1-111-1-1-2100-11−3−3331-10000−3−3−3−333330000−i3−i3i3i3−2i2i000000ii−i−i00000000
χ26222-2-22-1-2-2222-111-2-2-12-11-2-111-2221-1-111-1-1-2100-11−3−3331-10000−3−3−3−333330000i3i3−i3−i32i−2i000000−i−iii00000000
χ27222-2-2-1222-2-2-12-2-2-1-1-1-12-21-1111112-2-2-1-111-1200-110000-1133−3−333−3−333−3−3002i−2i00000000−i−iii0000−i3−i3i3i30000
χ28222-2-2-1222-2-2-12-2-2-1-1-1-12-21-1111112-2-2-1-111-1200-110000-1133−3−333−3−333−3−300−2i2i00000000ii−i−i0000i3i3−i3−i30000
χ29222-2-2-1222-2-2-12-2-2-1-1-1-12-21-1111112-2-2-1-111-1200-110000-11−3−333−3−333−3−333002i−2i00000000−i−iii0000i3i3−i3−i30000
χ30222-2-2-1222-2-2-12-2-2-1-1-1-12-21-1111112-2-2-1-111-1200-110000-11−3−333−3−333−3−33300−2i2i00000000ii−i−i0000−i3−i3i3i30000
χ3122-22-2222-22-22222222-2-2-22222-22-222-22222-2-200-2-20000-2-200000000000000000000002i−2i000000002i−2i2i−2i0000
χ3222-22-2222-22-22222222-2-2-22222-22-222-22222-2-200-2-20000-2-20000000000000000000000−2i2i00000000−2i2i−2i2i0000
χ3322-22-222-22-222222-2-22-2-2-22222-2-22-2-22-2-2-2-22200-2-20000220000000000002-2002-22-200000000000000000000
χ3422-22-222-22-222222-2-22-2-2-22222-2-22-2-22-2-2-2-22200-2-2000022000000000000-2200-22-2200000000000000000000
χ3522-22-22-1-22-222-1-1-1-2-2-1-2112-1-1-1-2-2211-111112-10011−i3i3−i3i3-1-10000−i3i3−i3i3−i3i3−i3i32-200-11-1100000000−i3i3−i3i300000000
χ3622-22-22-1-22-222-1-1-1-2-2-1-2112-1-1-1-2-2211-111112-10011−i3i3−i3i3-1-10000−i3i3−i3i3−i3i3−i3i3-22001-11-100000000i3−i3i3−i300000000
χ3722-22-22-1-22-222-1-1-1-2-2-1-2112-1-1-1-2-2211-111112-10011i3−i3i3−i3-1-10000i3−i3i3−i3i3−i3i3−i32-200-11-1100000000i3−i3i3−i300000000
χ3822-22-22-1-22-222-1-1-1-2-2-1-2112-1-1-1-2-2211-111112-10011i3−i3i3−i3-1-10000i3−i3i3−i3i3−i3i3−i3-22001-11-100000000−i3i3−i3i300000000
χ3922-22-2-122-22-2-1222-1-1-11-2-2-1-1-1-11-1122-2-1-1-1-11-20011000011−i3i3−i3i3−i3i3i3−i3i3−i3−i3i300000000002i−2i3−33−30000−ii−ii0000
χ4022-22-2-122-22-2-1222-1-1-11-2-2-1-1-1-11-1122-2-1-1-1-11-20011000011−i3i3−i3i3−i3i3i3−i3i3−i3−i3i30000000000−2i2i−33−330000i−ii−i0000
χ4122-22-2-122-22-2-1222-1-1-11-2-2-1-1-1-11-1122-2-1-1-1-11-20011000011i3−i3i3−i3i3−i3−i3i3−i3i3i3−i300000000002i−2i−33−330000−ii−ii0000
χ4222-22-2-122-22-2-1222-1-1-11-2-2-1-1-1-11-1122-2-1-1-1-11-20011000011i3−i3i3−i3i3−i3−i3i3−i3i3i3−i30000000000−2i2i3−33−30000i−ii−i0000
χ4322-2-22222-2-2222-2-2222-2-22-22-2-22-222-2222-2-2-2-22i−2i-222i−2i−2i2i-222i−2i−2i2i2i−2i2i−2i−2i2i−2i2i0000000000000000000000000000
χ4422-2-22222-2-2222-2-2222-2-22-22-2-22-222-2222-2-2-2-2−2i2i-22−2i2i2i−2i-22−2i2i2i−2i−2i2i−2i2i2i−2i2i−2i0000000000000000000000000000
χ4522-2-2222-222-222-2-2-2-22-2-22-22-2-222-2-22-2-2-2222200-2200002-20000000000000000000000000000000000002-200
χ4622-2-2222-222-222-2-2-2-22-2-22-22-2-222-2-22-2-2-2222200-2200002-2000000000000000000000000000000000000-2200
χ4722-2-222-12-2-222-11122-1-21-1-2-1112-22-11-1-1-111-212i−2i1-1−iii−i1-12i−2i−2i2i−ii−iii−ii−i0000−i3i3i3−i3000000003−3−3300000000
χ4822-2-222-12-2-222-11122-1-21-1-2-1112-22-11-1-1-111-212i−2i1-1−iii−i1-12i−2i−2i2i−ii−iii−ii−i0000i3−i3−i3i300000000−333−300000000
χ4922-2-222-12-2-222-11122-1-21-1-2-1112-22-11-1-1-111-21−2i2i1-1i−i−ii1-1−2i2i2i−2ii−ii−i−ii−ii0000−i3i3i3−i300000000−333−300000000
χ5022-2-222-12-2-222-11122-1-21-1-2-1112-22-11-1-1-111-21−2i2i1-1i−i−ii1-1−2i2i2i−2ii−ii−i−ii−ii0000i3−i3−i3i3000000003−3−3300000000
χ5122-2-22-122-2-22-12-2-2-1-1-11-221-111-11-12-22-1-1111-22i−2i1-12i−2i−2i2i1-1−iii−i−ii−iii−ii−i000000000000−i3i3i3−i30000−333−30000
χ5222-2-22-122-2-22-12-2-2-1-1-11-221-111-11-12-22-1-1111-22i−2i1-12i−2i−2i2i1-1−iii−i−ii−iii−ii−i000000000000i3−i3−i3i300003−3−330000
χ5322-2-22-122-2-22-12-2-2-1-1-11-221-111-11-12-22-1-1111-2−2i2i1-1−2i2i2i−2i1-1i−i−iii−ii−i−ii−ii000000000000−i3i3i3−i300003−3−330000
χ5422-2-22-122-2-22-12-2-2-1-1-11-221-111-11-12-22-1-1111-2−2i2i1-1−2i2i2i−2i1-1i−i−iii−ii−i−ii−ii000000000000i3−i3−i3i30000−333−30000
χ55444444-2-4-4-4-44-2-2-2-4-4-24-2-24-2-2-24-4-42222222-4200-2-20000220000000000000000000000000000000000000000
χ5644444-24-4-4-4-4-244422-2-244-2-2-2-2-222-4-4-422222-400-2-20000220000000000000000000000000000000000000000
χ5744444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-21111-2-24411-2-2-2-211-2-2-2-2111111110000000000000000000000000000
χ5844444-2-24444-2-2-2-2-2-21-2-2-2-2111-2-2-2-2-2-21111-2-2-4-4112222112222-1-1-1-1-1-1-1-10000000000000000000000000000
χ5944444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-222222-1-1-1-12200110000-1-1000033-3-3-3-3330000000000000000000000000000
χ6044444-2-2-4-4-4-4-2-2-2-2221-2-2-2-2111-222222-1-1-1-12200110000-1-10000-3-33333-3-30000000000000000000000000000
χ61444-4-44-244-4-44-22244-24-22-4-222-4-4-4-222-2-2224-200-220000-220000000000000000000000000000000000000000
χ62444-4-4-24-4-444-24-4-422-2-24-42-2222-2-2-44422-2-22-400-2200002-20000000000000000000000000000000000000000
χ63444-4-4-2-244-4-4-2-222-2-21-2-2221-1-1222-22211-1-1-2-2001-100001-12323−23−23−3−333−3−3330000000000000000000000000000
χ64444-4-4-2-244-4-4-2-222-2-21-2-2221-1-1222-22211-1-1-2-2001-100001-1−23−23232333−3−333−3−30000000000000000000000000000
χ65444-4-4-2-2-4-444-2-222221-2-2221-1-12-2-22-2-2-1-11122001-12323−23−23-110000−3−3−3−333330000000000000000000000000000
χ66444-4-4-2-2-4-444-2-222221-2-2221-1-12-2-22-2-2-1-11122001-1−23−232323-1100003333−3−3−3−30000000000000000000000000000
χ6744-44-44-24-44-44-2-2-244-2-4224-2-2-2-44-4-2-22-2-2-2-2-4200220000220000000000000000000000000000000000000000
χ6844-44-4-24-44-44-244422-22-4-4-2-2-2-222-2-4-442222-2400220000-2-20000000000000000000000000000000000000000
χ6944-44-4-2-24-44-4-2-2-2-2-2-21222-21112-22-2-2211112200-1-10000-1-1−2i32i3−2i32i3i3−i3−i3i3−i3i3i3−i30000000000000000000000000000
χ7044-44-4-2-24-44-4-2-2-2-2-2-21222-21112-22-2-2211112200-1-10000-1-12i3−2i32i3−2i3−i3i3i3−i3i3−i3−i3i30000000000000000000000000000
χ7144-44-4-2-2-44-44-2-2-2-2221222-211122-222-2-1-1-1-1-2-200-1-1−2i32i3−2i32i3110000i3−i3i3−i3i3−i3i3−i30000000000000000000000000000
χ7244-44-4-2-2-44-44-2-2-2-2221222-211122-222-2-1-1-1-1-2-200-1-12i3−2i32i3−2i3110000−i3i3−i3i3−i3i3−i3i30000000000000000000000000000
χ7344-4-444-2-444-44-222-4-4-2-42-2-4-22244-42-2222-2-24-2002-20000-220000000000000000000000000000000000000000
χ7444-4-44-24-444-4-24-4-422-22-442-222-2-22-44-422-2-2-24002-20000-220000000000000000000000000000000000000000
χ7544-4-44-2-24-4-44-2-222-2-2122-221-1-1-22-2-22-211-1-1224i−4i-11−2i2i2i−2i-11−2i2i2i−2ii−ii−i−ii−ii0000000000000000000000000000
χ7644-4-44-2-24-4-44-2-222-2-2122-221-1-1-22-2-22-211-1-122−4i4i-112i−2i−2i2i-112i−2i−2i2i−ii−iii−ii−i0000000000000000000000000000
χ7744-4-44-2-2-444-4-2-22222122-221-1-1-2-222-22-1-111-2-200-1100001-100003i−3i−3i3i3i−3i−3i3i0000000000000000000000000000
χ7844-4-44-2-2-444-4-2-22222122-221-1-1-2-222-22-1-111-2-200-1100001-10000−3i3i3i−3i−3i3i3i−3i0000000000000000000000000000
χ798-8000880000-8-8000080000-80000000000000000000000000000000000000000000000000000000000000000
χ808-80008-40000-84−4i34i300-400004−4i34i300000000000000000000000000000000000000000000000000000000000000
χ818-80008-40000-844i3−4i300-4000044i3−4i300000000000000000000000000000000000000000000000000000000000000
χ828-8000-4800004-80043−43-4000040000000043−43000000000000000000000000000000000000000000000000000000
χ838-8000-4800004-800−4343-40000400000000−4343000000000000000000000000000000000000000000000000000000
χ848-8000-4-4000044−4i34i343−4320000-22i3−2i3000000−23236i−6i0000000000000000000000000000000000000000000000000000
χ858-8000-4-4000044−4i34i3−434320000-22i3−2i300000023−23−6i6i0000000000000000000000000000000000000000000000000000
χ868-8000-4-40000444i3−4i343−4320000-2−2i32i3000000−2323−6i6i0000000000000000000000000000000000000000000000000000
χ878-8000-4-40000444i3−4i3−434320000-2−2i32i300000023−236i−6i0000000000000000000000000000000000000000000000000000

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