Finite Group Databasebeta

← Group #11921656

Character table — Group #11921656

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63
size11112222224466666688881212121212121216161616161616161616181818182424242424242436363636363648484848484872
order12223446661212444444366648888121236661212121212128888241224242424444488612121212122
χ1111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111-1-1-1-1111111111111-1-1-1-1-1-11-1-1-1-111-1-1-1-1-1-11111-1
χ3111111111111-1-1-1-111111111111111111111111-1-1-1-11111111-1-1-1-1-1-111-1-1-1-1-1
χ4111111111111-1-1-1-11111111-1-1-1-11111111111111111-1-11-1-1-1-1-1-11111-1-1-1-1-1-11
χ511111-1-1111-1-111-1-1111111-111-1-1111111-1-1-1-1-1-11111-11-111-1-1-1111-1-1-1111-1-1-1
χ611111-1-1111-1-111-1-1111111-1-1-111111111-1-1-1-1-1-1-1-1-1-11-1-1-1-111-11-1-1111-111-1-11
χ711111-1-1111-1-1-1-111111111-111-1-1111111-1-1-1-1-1-1-1-1-1-1-11-111-1-11-1-1-111-11-1-1111
χ811111-1-1111-1-1-1-111111111-1-1-111111111-1-1-1-1-1-111111-1-1-1-1111-111-1-11-1-1-111-1
χ9222222222222222222-1-1-1-12000022-1-1-1-1-1-1-1-1-1-10000002000022000000-1-1-1-10
χ10222222222222-2-2-2-222-1-1-1-12000022-1-1-1-1-1-1-1-1-1-100000020000-2-200000011110
χ1122222-2-2222-2-222-2-222-1-1-1-1-2000022-1-1-1-1111111000000-20000-22000000-1-1110
χ1222222-2-2222-2-2-2-22222-1-1-1-1-2000022-1-1-1-1111111000000-200002-200000011-1-10
χ132222-122-1-1-1-1-1000022222222222-1-1-1-1-1-122-1-1-1-1000022-1-1-1-1-1000000-1-100000
χ142222-122-1-1-1-1-100002222222-2-2-2-2-1-1-1-1-1-122-1-1-1-10000-2-2-111110000001100000
χ152222-1-2-2-1-1-1110000222222-222-2-2-1-1-1-1-1-1-2-211110000-221-1-1110000001-100000
χ162222-1-2-2-1-1-1110000222222-2-2-222-1-1-1-1-1-1-2-2111100002-2111-1-1000000-1100000
χ1722-2-2200-2-22000000-2222-2-200000-2222-2-20000002i2i−2i−2i0000000002i−2i000000000
χ1822-2-2200-2-22000000-2222-2-200000-2222-2-2000000−2i−2i2i2i000000000−2i2i000000000
χ192-22-222i−2i-22-22i−2i2-22i−2i00-11-1102−2i2−i200-11-11i−iii−i−i2−22−20002−2i2−i20000i2−i2001-1i−i0
χ202-22-222i−2i-22-22i−2i2-22i−2i00-11-110−22−i2i200-11-11i−iii−i−i−22−22000−22−i2i20000−i2i2001-1i−i0
χ212-22-222i−2i-22-22i−2i-22−2i2i00-11-1102−2i2−i200-11-11i−iii−i−i−22−220002−2i2−i20000−i2i200-11−ii0
χ222-22-222i−2i-22-22i−2i-22−2i2i00-11-110−22−i2i200-11-11i−iii−i−i2−22−2000−22−i2i20000i2−i200-11−ii0
χ232-22-22−2i2i-22-2−2i2i2-2−2i2i00-11-1102−2−i2i200-11-11−ii−i−iii2−22−20002−2−i2i20000−i2i2001-1−ii0
χ242-22-22−2i2i-22-2−2i2i2-2−2i2i00-11-110−22i2−i200-11-11−ii−i−iii−22−22000−22i2−i20000i2−i2001-1−ii0
χ252-22-22−2i2i-22-2−2i2i-222i−2i00-11-1102−2−i2i200-11-11−ii−i−iii−22−220002−2−i2i20000i2−i200-11i−i0
χ262-22-22−2i2i-22-2−2i2i-222i−2i00-11-110−22i2−i200-11-11−ii−i−iii2−22−2000−22i2−i20000−i2i200-11i−i0
χ273333333333333333-1-10000-11111-1-100000000001111-1-1-11111-1-1-1-111-1-10000-1
χ283333333333333333-1-10000-1-1-1-1-1-1-10000000000-1-1-1-111-1-1-1-1-1-1-111-1-11100001
χ29333333333333-3-3-3-3-1-10000-11111-1-10000000000-1-1-1-1-1-1-111111111-1-1-1-100001
χ30333333333333-3-3-3-3-1-10000-1-1-1-1-1-1-10000000000111111-1-1-1-1-111-1-111110000-1
χ3133333-3-3333-3-333-3-3-1-10000111-1-1-1-1000000000011111-1111-1-11-1-1-1-1-11-100001
χ3233333-3-3333-3-333-3-3-1-100001-1-111-1-10000000000-1-1-1-1-111-1-1111-11111-110000-1
χ3333333-3-3333-3-3-3-333-1-10000111-1-1-1-10000000000-1-1-1-11-1111-1-1-1111111-10000-1
χ3433333-3-3333-3-3-3-333-1-100001-1-111-1-100000000001111-111-1-111-11-1-1-1-1-1100001
χ354444-244-2-2-2-2-2000044-2-2-2-240000-2-21111-2-21111000000-200000000000000000
χ364444-2-4-4-2-2-222000044-2-2-2-2-40000-2-2111122-1-1-1-1000000200000000000000000
χ3744-4-4400-4-44000000-44-2-22200000-44-2-222000000000000000000000000000000
χ3844-4-4-20022-2000000-4444-4-4000002-2-2-222000000000000000000000000000000
χ3944-4-4-20022-2000000-44-2-222000002-211-1-1003i−3i3i−3i000000000000000000000000
χ4044-4-4-20022-2000000-44-2-222000002-211-1-100−3i3i−3i3i000000000000000000000000
χ414-44-444i−4i-44-44i−4i4-44i−4i001-11-100000001-11-1−ii−i−iii0000000000000000000-11−ii0
χ424-44-444i−4i-44-44i−4i-44−4i4i001-11-100000001-11-1−ii−i−iii00000000000000000001-1i−i0
χ434-44-44−4i4i-44-4−4i4i4-4−4i4i001-11-100000001-11-1i−iii−i−i0000000000000000000-11i−i0
χ444-44-44−4i4i-44-4−4i4i-444i−4i001-11-100000001-11-1i−iii−i−i00000000000000000001-1−ii0
χ454-44-4-24i−4i2-22−2i2i000000-22-22022−222i2−2i2001-11-12i−2i−i−iii0000000−22−i2i20000000000000
χ464-44-4-24i−4i2-22−2i2i000000-22-220−2222−2i22i2001-11-12i−2i−i−iii00000002−2i2−i20000000000000
χ474-44-4-2−4i4i2-222i−2i000000-22-22022−22−2i22i2001-11-1−2i2iii−i−i0000000−22i2−i20000000000000
χ484-44-4-2−4i4i2-222i−2i000000-22-220−22222i2−2i2001-11-1−2i2iii−i−i00000002−2−i2i20000000000000
χ494-4-444004-4-400000000-222-20000000-222-20000002i2−2i2−2i22i200000000000000000000
χ504-4-444004-4-400000000-222-20000000-222-2000000−2i22i22i2−2i200000000000000000000
χ516666-366-3-3-3-3-30000-2-20000-222221100000000000000-2-21-1-1-1-10000001100000
χ526666-366-3-3-3-3-30000-2-20000-2-2-2-2-211000000000000002211111000000-1-100000
χ536666-3-6-6-3-3-3330000-2-20000222-2-211000000000000002-2-1-1-111000000-1100000
χ546666-3-6-6-3-3-3330000-2-200002-2-2221100000000000000-22-111-1-10000001-100000
χ5566-6-6600-6-660000002-20000000002-200000000002i2i−2i−2i000000000−2i2i000000000
χ5666-6-6600-6-660000002-20000000002-20000000000−2i−2i2i2i0000000002i−2i000000000
χ578-88-8-48i−8i4-44−4i4i0000002-22-20000000-11-11−2i2iii−i−i000000000000000000000000
χ588-88-8-4−8i8i4-444i−4i0000002-22-20000000-11-112i−2i−i−iii000000000000000000000000
χ598-8-888008-8-8000000002-2-2200000002-2-22000000000000000000000000000000
χ608-8-88-400-444000000002-2-220000000-111-1003-3-33000000000000000000000000
χ618-8-88-400-444000000002-2-220000000-111-100-333-3000000000000000000000000
χ628-8-88-400-44400000000-444-400000002-2-22000000000000000000000000000000
χ631212-12-12-60066-60000004-4000000000-220000000000000000000000000000000000

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