Finite Group Databasebeta

← Group #11921662

Character table — Group #11921662

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222446666668888888812121216161616161616161818242424242424242424242424242424242436484872727272
order12223446661212444444366612121212412123666121212122224881212121212121212122424242446122488
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-1-1-1111111111-1-1-1-11-1-1-1-1-1-1
χ3111111111111-1-11-1-111111111111111111111-1-111111-1-1-1-1-1-1-1-11111-111-1-1-1-1
χ4111111111111-1-11-1-111111111111111111111-1-1-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-1111-1-1111-1-111111-1-1-1-1-1111111-1-1-1-1-1-11-11-1-11111-1-1-1-111-1-111-1-111-1
χ611111-1-1111-1-1111-1-111111-1-1-1-1-1111111-1-1-1-1-1-1-11-11-11111-1-1-1-1-1-1111-111-1-11
χ711111-1-1111-1-1-1-111111111-1-1-1-1-1111111-1-1-1-1111-11-1-1-1-1-1-1111111-1-1-11-11-1-11
χ811111-1-1111-1-1-1-111111111-1-1-1-1-1111111-1-1-1-111-11-11-1-1-1-1-11111-1-111-1-11-111-1
χ9222222222222222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-12200002-1-1-1-1-1-1-1-100002000000
χ10222222222222-2-22-2-22-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-200002111111110000-2000000
χ1122222-2-2222-2-2222-2-22-1-1-1-11111-222-1-1-1-11111-2-20000-2-1-1-1-1111100002000000
χ1222222-2-2222-2-2-2-22222-1-1-1-11111-222-1-1-1-11111220000-21111-1-1-1-10000-2000000
χ132222-122-1-1-1-1-1002002222222222-1-1-1-1-1-1-1-1-1-1002222-100000000-1-1-1-10-1-10000
χ142222-122-1-1-1-1-1002002222222222-1-1-1-1-1-1-1-1-1-100-2-2-2-2-10000000011110110000
χ152222-1-2-2-1-1-1110020022222-2-2-2-2-2-1-1-1-1-1-11111002-22-2100000000-1-1110-110000
χ162222-1-2-2-1-1-1110020022222-2-2-2-2-2-1-1-1-1-1-1111100-22-2210000000011-1-101-10000
χ172-2-22200-2-220000-22-222-22-200000-2222-2-200002-200000000022-2-200000000000
χ182-2-22200-2-220000-22-22-11-1133−3−30-22-1-11133−3−32-20000033−3−3-1-11100000000000
χ192-2-22200-2-220000-22-22-11-11−3−3330-22-1-111−3−3332-200000−3−333-1-11100000000000
χ202-2-22200-2-220000-2-2222-22-200000-2222-2-20000-22000000000-2-22200000000000
χ212-2-22200-2-220000-2-222-11-1133−3−30-22-1-11133−3−3-2200000−3−33311-1-100000000000
χ222-2-22200-2-220000-2-222-11-11−3−3330-22-1-111−3−333-220000033−3−311-1-100000000000
χ2333333333333333-133-100000000-1-1-100000000-1-111-1-1-100000000-1-1-1-1-11111-1-1
χ2433333333333333-133-100000000-1-1-100000000-1-1-1-111-1000000001111-1-1-1-1-111
χ25333333333333-3-3-1-3-3-100000000-1-1-1000000001111-1-1-100000000-1-1-1-1111-1-111
χ26333333333333-3-3-1-3-3-100000000-1-1-10000000011-1-111-10000000011111-1-111-1-1
χ2733333-3-3333-3-333-1-3-3-1000000001-1-100000000111-1-11100000000-1-111-11-1-11-11
χ2833333-3-3333-3-333-1-3-3-1000000001-1-10000000011-111-110000000011-1-1-1-111-11-1
χ2933333-3-3333-3-3-3-3-133-1000000001-1-100000000-1-11-1-11100000000-1-11111-11-11-1
χ3033333-3-3333-3-3-3-3-133-1000000001-1-100000000-1-1-111-110000000011-1-11-11-11-11
χ314444-244-2-2-2-2-2004004-2-2-2-2-2-2-2-24-2-211111111000000-20000000000000000000
χ324444-2-4-4-2-2-222004004-2-2-2-22222-4-2-21111-1-1-1-100000020000000000000000000
χ3344-4-444i−4i-44-44i−4i0000001-1-11i−ii−i0001-11-1i−ii−i0000000−i3i3−i3i33−33−300000000000
χ3444-4-444i−4i-44-44i−4i0000001-1-11i−ii−i0001-11-1i−ii−i0000000i3−i3i3−i3−33−3300000000000
χ3544-4-444i−4i-44-44i−4i000000-222-2−2i2i−2i2i000-22-22−2i2i−2i2i00000000000000000000000000
χ3644-4-44−4i4i-44-4−4i4i0000001-1-11−ii−ii0001-11-1−ii−ii0000000−i3i3−i3i3−33−3300000000000
χ3744-4-44−4i4i-44-4−4i4i0000001-1-11−ii−ii0001-11-1−ii−ii0000000i3−i3i3−i33−33−300000000000
χ3844-4-44−4i4i-44-4−4i4i000000-222-22i−2i2i−2i000-22-222i−2i2i−2i00000000000000000000000000
χ3944-4-4-24i−4i2-22−2i2i000000-222-2−2i2i−2i2i0001-11-1i−ii−i0000000000000006−6i6−i60000000
χ4044-4-4-24i−4i2-22−2i2i000000-222-2−2i2i−2i2i0001-11-1i−ii−i000000000000000−66−i6i60000000
χ4144-4-4-2−4i4i2-222i−2i000000-222-22i−2i2i−2i0001-11-1−ii−ii0000000000000006−6−i6i60000000
χ4244-4-4-2−4i4i2-222i−2i000000-222-22i−2i2i−2i0001-11-1−ii−ii000000000000000−66i6−i60000000
χ434-44-44004-4-4004i−4i000011-1-1−i3i3i3−i30001-1-11−i3i3i3−i30000000i−i−ii−333−300000000000
χ444-44-44004-4-4004i−4i000011-1-1i3−i3−i3i30001-1-11i3−i3−i3i30000000i−i−ii3−3−3300000000000
χ454-44-44004-4-4004i−4i0000-2-2220000000-222-200000000000−2i2i2i−2i000000000000000
χ464-44-44004-4-400−4i4i000011-1-1−i3i3i3−i30001-1-11−i3i3i3−i30000000−iii−i3−3−3300000000000
χ474-44-44004-4-400−4i4i000011-1-1i3−i3−i3i30001-1-11i3−i3−i3i30000000−iii−i−333−300000000000
χ484-44-44004-4-400−4i4i0000-2-2220000000-222-2000000000002i−2i−2i2i000000000000000
χ494-4-44-20022-20000-40044-44-4000002-2-2-222000000000000000000000000000000
χ504-4-44-20022-20000-4004-22-222323−23−2302-211-1-1−3−33300000000000000000000000000
χ514-4-44-20022-20000-4004-22-22−23−23232302-211-1-133−3−300000000000000000000000000
χ526666-366-3-3-3-3-300-200-200000000-211000000000022-2-210000000011110-1-10000
χ536666-366-3-3-3-3-300-200-200000000-2110000000000-2-222100000000-1-1-1-10110000
χ546666-3-6-6-3-3-33300-200-20000000021100000000002-2-22-10000000011-1-10-110000
χ556666-3-6-6-3-3-33300-200-2000000002110000000000-222-2-100000000-1-11101-10000
χ566-6-66600-6-66000026-6-20000000002-200000000-22000000000000000000000000
χ576-6-66600-6-6600002-66-20000000002-2000000002-2000000000000000000000000
χ5888-8-8-48i−8i4-44−4i4i0000002-2-222i−2i2i−2i000-11-11−ii−ii00000000000000000000000000
χ5988-8-8-4−8i8i4-444i−4i0000002-2-22−2i2i−2i2i000-11-11i−ii−i00000000000000000000000000
χ608-88-8-400-4440000000022-2-2−2i32i32i3−2i3000-111-1i3−i3−i3i300000000000000000000000000
χ618-88-8-400-4440000000022-2-22i3−2i3−2i32i3000-111-1−i3i3i3−i300000000000000000000000000
χ628-88-8-400-44400000000-4-44400000002-2-22000000000000000000000000000000
χ6312-12-1212-60066-60000400-4000000000-220000000000000000000000000000000000

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