Finite Group Databasebeta

← Group #11922425

Character table — Group #11922425

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size1111222222446666668888888812121216161616161616161818242424242424242424242424242424242436484872727272
order1222344666121222444436661212121221212366612121212444466666881212121224242424212122488
χ1111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111-1-111111-1-11111-1-1-1-11-1-1-1-1-1-1
χ3111111111111-1-1-1-1111111111111111111111-1-1111-1-1-1-111-1-1-1-11111-111-1-1-1-1
χ4111111111111-1-1-1-1111111111111111111111-1-1-1-11-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511111-1-1111-1-111-1-1111111-1-1-1-1-1111111-1-1-1-1111-1-111111-1-1-1-1-111-1-1-11-1-111-1
χ611111-1-1111-1-111-1-1111111-1-1-1-1-1111111-1-1-1-111-11-11111-11-1-1-1-1-1-111-1-111-1-11
χ711111-1-1111-1-1-1-111111111-1-1-1-1-1111111-1-1-1-1-1-11-1-1-1-1-1-11-1111111-1-111-11-1-11
χ811111-1-1111-1-1-1-111111111-1-1-1-1-1111111-1-1-1-1-1-1-11-1-1-1-1-1-111111-1-1111-11-111-1
χ9222222222222222222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-122002-1-1-1-100-1-1-1-100002000000
χ10222222222222-2-2-2-222-1-1-1-1-1-1-1-1222-1-1-1-1-1-1-1-1-2-200211110011110000-2000000
χ1122222-2-2222-2-222-2-222-1-1-1-11111-222-1-1-1-111112200-2-1-1-1-10011110000-2000000
χ1222222-2-2222-2-2-2-22222-1-1-1-11111-222-1-1-1-11111-2-200-2111100-1-1-1-100002000000
χ132222-122-1-1-1-1-1000022222222222-1-1-1-1-1-1-1-1-1-10022-10000220000-1-1-1-10-1-10000
χ142222-122-1-1-1-1-1000022222222222-1-1-1-1-1-1-1-1-1-100-2-2-10000-2-2000011110110000
χ152222-1-2-2-1-1-1110000222222-2-2-2-2-2-1-1-1-1-1-11111002-2100002-20000-1-1110-110000
χ162222-1-2-2-1-1-1110000222222-2-2-2-2-2-1-1-1-1-1-1111100-2210000-22000011-1-101-10000
χ172-2-22200-2-22002-2002-22-2-22000002-22-2-2200002-200022-2-200000000000000000
χ182-2-22200-2-22002-2002-2-111-1−i3−i3i3i302-2-111-1−i3−i3i3i32-2000-1-11100−i3−i3i3i300000000000
χ192-2-22200-2-22002-2002-2-111-1i3i3−i3−i302-2-111-1i3i3−i3−i32-2000-1-11100i3i3−i3−i300000000000
χ202-2-22200-2-2200-22002-22-2-22000002-22-2-220000-22000-2-22200000000000000000
χ212-2-22200-2-2200-22002-2-111-1−i3−i3i3i302-2-111-1−i3−i3i3i3-2200011-1-100i3i3−i3−i300000000000
χ222-2-22200-2-2200-22002-2-111-1i3i3−i3−i302-2-111-1i3i3−i3−i3-2200011-1-100−i3−i3i3i300000000000
χ233333333333333333-1-100000000-1-1-100000000-1-111-10000-1-10000-1-1-1-1-11111-1-1
χ243333333333333333-1-100000000-1-1-100000000-1-1-1-1-100001100001111-1-1-1-1-111
χ25333333333333-3-3-3-3-1-100000000-1-1-1000000001111-10000-1-10000-1-1-1-1111-1-111
χ26333333333333-3-3-3-3-1-100000000-1-1-10000000011-1-1-1000011000011111-1-111-1-1
χ2733333-3-3333-3-333-3-3-1-1000000001-1-100000000-1-11-110000-110000-1-11111-1-11-11
χ2833333-3-3333-3-333-3-3-1-1000000001-1-100000000-1-1-11100001-1000011-1-11-111-11-1
χ2933333-3-3333-3-3-3-333-1-1000000001-1-100000000111-110000-110000-1-111-11-11-11-1
χ3033333-3-3333-3-3-3-333-1-1000000001-1-10000000011-11100001-1000011-1-1-1-11-11-11
χ314444-244-2-2-2-2-2000044-2-2-2-2-2-2-2-24-2-2111111110000-2000000000000000000000
χ324444-2-4-4-2-2-222000044-2-2-2-22222-4-2-21111-1-1-1-100002000000000000000000000
χ3344-4-444i−4i-44-44i−4i00000011-1-1i−ii−i00011-1-1i−ii−i00000−i3i3−i3i3003−33−300000000000
χ3444-4-444i−4i-44-44i−4i00000011-1-1i−ii−i00011-1-1i−ii−i00000i3−i3i3−i300−33−3300000000000
χ3544-4-444i−4i-44-44i−4i000000-2-222−2i2i−2i2i000-2-222−2i2i−2i2i00000000000000000000000000
χ3644-4-44−4i4i-44-4−4i4i00000011-1-1−ii−ii00011-1-1−ii−ii00000−i3i3−i3i300−33−3300000000000
χ3744-4-44−4i4i-44-4−4i4i00000011-1-1−ii−ii00011-1-1−ii−ii00000i3−i3i3−i3003−33−300000000000
χ3844-4-44−4i4i-44-4−4i4i000000-2-2222i−2i2i−2i000-2-2222i−2i2i−2i00000000000000000000000000
χ3944-4-4-24i−4i2-22−2i2i000000-2-222−2i2i−2i2i00011-1-1i−ii−i0000000000000006−6i6−i60000000
χ4044-4-4-24i−4i2-22−2i2i000000-2-222−2i2i−2i2i00011-1-1i−ii−i000000000000000−66−i6i60000000
χ4144-4-4-2−4i4i2-222i−2i000000-2-2222i−2i2i−2i00011-1-1−ii−ii0000000000000006−6−i6i60000000
χ4244-4-4-2−4i4i2-222i−2i000000-2-2222i−2i2i−2i00011-1-1−ii−ii000000000000000−66i6−i60000000
χ434-44-44004-4-400004i−4i001-11-13−3−330001-11-13−3−3300000−i3i3i3−i300i−i−ii00000000000
χ444-44-44004-4-400004i−4i001-11-1−333−30001-11-1−333−300000i3−i3−i3i300i−i−ii00000000000
χ454-44-44004-4-400004i−4i00-22-220000000-22-22000000000000000−2i2i2i−2i00000000000
χ464-44-44004-4-40000−4i4i001-11-13−3−330001-11-13−3−3300000i3−i3−i3i300−iii−i00000000000
χ474-44-44004-4-40000−4i4i001-11-1−333−30001-11-1−333−300000−i3i3i3−i300−iii−i00000000000
χ484-44-44004-4-40000−4i4i00-22-220000000-22-220000000000000002i−2i−2i2i00000000000
χ494-4-44-20022-20000004-44-4-4400000-22-222-2000000000000000000000000000000
χ504-4-44-20022-20000004-4-222-2−2i3−2i32i32i30-221-1-11i3i3−i3−i300000000000000000000000000
χ514-4-44-20022-20000004-4-222-22i32i3−2i3−2i30-221-1-11−i3−i3i3i300000000000000000000000000
χ526666-366-3-3-3-3-30000-2-200000000-21100000000002210000-2-2000011110-1-10000
χ536666-366-3-3-3-3-30000-2-200000000-2110000000000-2-210000220000-1-1-1-10110000
χ546666-3-6-6-3-3-3330000-2-20000000021100000000002-2-10000-22000011-1-10-110000
χ556666-3-6-6-3-3-3330000-2-2000000002110000000000-22-100002-20000-1-11101-10000
χ566-6-66600-6-66006-600-22000000000-2200000000-22000000000000000000000000
χ576-6-66600-6-6600-6600-22000000000-22000000002-2000000000000000000000000
χ5888-8-8-48i−8i4-44−4i4i00000022-2-22i−2i2i−2i000-1-111−ii−ii00000000000000000000000000
χ5988-8-8-4−8i8i4-444i−4i00000022-2-2−2i2i−2i2i000-1-111i−ii−i00000000000000000000000000
χ608-88-8-400-444000000002-22-223−23−2323000-11-11−333−300000000000000000000000000
χ618-88-8-400-444000000002-22-2−232323−23000-11-113−3−3300000000000000000000000000
χ628-88-8-400-44400000000-44-4400000002-22-2000000000000000000000000000000
χ6312-12-1212-60066-6000000-440000000002-20000000000000000000000000000000000

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