Finite Group Databasebeta

← Group #13180813

Character table — Group #13180813

Order 1728.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72
size1122222224444466668888881212121212121616161616161616161616161616161818181824243636363636363636364848484848487272108108108108
order122336666366662444333666612121212123336666666666662488121222681224242424666121212662488
χ1111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111111-1-111-1-11-11-1-1-1-1111111-1-1-1-1-1-1
χ311111111111111-11-11111111-1111-11111111111111111-1-1111111-11-11111-1-1-1-1-1-111-1-1-1-1
χ411111111111111-11-11111111-1111-11111111111111111-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111
χ511-111-1-1111-1-1-111-1-111111111-11-1-11111-1-1-1111-1-1-1-1-1-1-11111-11-1-1-1111-1-1111-1-1-11-11-11-1
χ611-111-1-1111-1-1-111-1-111111111-11-1-11111-1-1-1111-1-1-1-1-1-1-11-1-11-1-11-111-1-111111-1-1-1-11-11-11
χ711-111-1-1111-1-1-11-1-111111111-1-11-111111-1-1-1111-1-1-1-1-1-11-1111-11-11-1-111-1-1-1-1-11111-1-11-11
χ811-111-1-1111-1-1-11-1-111111111-1-11-111111-1-1-1111-1-1-1-1-1-11-1-1-11-1-1111-1-1-111-1-1-1111-111-11-1
χ9222222222222222222-1-1-1-1-1-1222222-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1220022002020000-1-1-1-1-1-1000000
χ1022222222222222-22-22-1-1-1-1-1-1-2222-22-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-2-2002200-20-20000111111000000
χ112222-1-1-1-12-12-1-1-102022222220-1220-1-1-1-1222-1-1-1-1-1-1-1-1-10022-1-122020-1-1-1-1000000-1-10000
χ122222-1-1-1-12-12-1-1-102022222220-1220-1-1-1-1222-1-1-1-1-1-1-1-1-100-2-2-1-1-2-20-201111000000110000
χ13222-12222-1-1-1-1-1-122222-1-12-1-1-12-1-1-122-1-12-1-12-1-122-1-1-1-12200-1-100-10-100002-1-12-1-1000000
χ14222-12222-1-1-1-1-1-12222-12-1-12-1-12-1-1-12-12-1-12-1-12-1-1-122-1-12200-1-100-10-10000-12-1-12-1000000
χ15222-12222-1-1-1-1-1-12222-1-12-1-12-12-1-1-12-1-12-1-12-1-12-1-1-1-1222200-1-100-10-10000-1-12-1-12000000
χ16222-12222-1-1-1-1-1-1-22-222-1-12-1-112-1-1122-1-12-1-12-1-122-1-1-1-1-2-200-1-1001010000-211-211000000
χ17222-12222-1-1-1-1-1-1-22-22-12-1-12-112-1-112-12-1-12-1-12-1-1-122-1-1-2-200-1-10010100001-211-21000000
χ18222-12222-1-1-1-1-1-1-22-22-1-12-1-1212-1-112-1-12-1-12-1-12-1-1-1-122-2-200-1-100101000011-211-2000000
χ1922-222-2-2222-2-2-222-2-22-1-1-1-1-1-12-22-2-22-1-1-1111-1-1-1111111-22002-200-2020000-1-1-1111000000
χ2022-222-2-2222-2-2-22-2-222-1-1-1-1-1-1-2-22-222-1-1-1111-1-1-11111112-2002-20020-20000111-1-1-1000000
χ2122-22-111-12-1-211-10-202222222012-20-1-1-1-1-2-2-2-1-1-11111110022-112-20-20-1-111000000-110000
χ2222-22-111-12-1-211-10-202222222012-20-1-1-1-1-2-2-2-1-1-111111100-2-2-11-2202011-1-10000001-10000
χ2322-2-12-2-22-1-1111-12-2-222-1-12-1-1-1-2-11122-1-1-2112-1-1-2-21111-2200-110010-100002-1-1-211000000
χ2422-2-12-2-22-1-1111-12-2-22-12-1-12-1-1-2-1112-12-11-21-12-111-2-211-2200-110010-10000-12-11-21000000
χ2522-2-12-2-22-1-1111-12-2-22-1-12-1-12-1-2-1112-1-1211-2-1-121111-2-2-2200-110010-10000-1-1211-2000000
χ2622-2-12-2-22-1-1111-1-2-2222-1-12-1-11-2-11-122-1-1-2112-1-1-2-211112-200-1100-1010000-2112-1-1000000
χ2722-2-12-2-22-1-1111-1-2-222-12-1-12-11-2-11-12-12-11-21-12-111-2-2112-200-1100-10100001-21-12-1000000
χ2822-2-12-2-22-1-1111-1-2-222-1-12-1-121-2-11-12-1-1211-2-1-121111-2-22-200-1100-101000011-2-1-12000000
χ29333333333333333-13-10000003-1-1-13-1000000000000000-1-111-1-1-1-1-11-11111000000-1-1-1-111
χ30333333333333333-13-10000003-1-1-13-1000000000000000-1-1-1-1-1-111-1-1-1-1-1-1-10000001111-1-1
χ3133333333333333-3-1-3-1000000-3-1-1-1-3-10000000000000001111-1-1-1-11111111000000-1-111-1-1
χ3233333333333333-3-1-3-1000000-3-1-1-1-3-100000000000000011-1-1-1-1111-11-1-1-1-100000011-1-111
χ3333-333-3-3333-3-3-3331-3-100000031-11-3-10000000000000001-111-11-111-1-111-1-1000000-11-111-1
χ3433-333-3-3333-3-3-3331-3-100000031-11-3-10000000000000001-1-1-1-111-111-1-1-1110000001-11-1-11
χ3533-333-3-3333-3-3-33-313-1000000-31-113-1000000000000000-1111-11-11-1-1111-1-1000000-111-1-11
χ3633-333-3-3333-3-3-33-313-1000000-31-113-1000000000000000-11-1-1-111-1-111-1-1110000001-1-111-1
χ374444-2-2-2-24-24-2-2-20404-2-2-2-2-2-20-2440-2111-2-2-21111111110000-2-2000000000000000000000
χ38444-2-2-2-2-2-21-211104044-2-24-2-20-2-2-20-2-2114-2-2-211-2-21111000011000000000000000000000
χ39444-2-2-2-2-2-21-21110404-24-2-24-20-2-2-20-21-21-24-21-2111-2-211000011000000000000000000000
χ40444-2-2-2-2-2-21-21110404-2-24-2-240-2-2-20-211-2-2-2411-21111-2-2000011000000000000000000000
χ4144-44-222-24-2-422-20-404-2-2-2-2-2-2024-40-2111222111-1-1-1-1-1-10000-22000000000000000000000
χ4244-4-2-222-2-212-1-110-4044-2-24-2-202-220-2-211-422-21122-1-1-1-100001-1000000000000000000000
χ4344-4-2-222-2-212-1-110-404-24-2-24-202-220-21-212-421-21-1-122-1-100001-1000000000000000000000
χ4444-4-2-222-2-212-1-110-404-2-24-2-2402-220-211-222-411-2-1-1-1-12200001-1000000000000000000000
χ454-404400-4-44000-40000-2-2-2222000000-2-2-200022200000000−2i22i20000000−2i22i200000000000000
χ464-404400-4-44000-40000-2-2-2222000000-2-2-2000222000000002i2−2i200000002i2−2i200000000000000
χ474-404-2−2i32i32-4-20−2i32i320000-2-2-2222000000111000-1-1-1−i3i3−i3i3−i3i300−2i22i20000000i2−i26−6000000000000
χ484-404-2−2i32i32-4-20−2i32i320000-2-2-2222000000111000-1-1-1−i3i3−i3i3−i3i3002i2−2i20000000−i2i2−66000000000000
χ494-404-22i3−2i32-4-202i3−2i320000-2-2-2222000000111000-1-1-1i3−i3i3−i3i3−i300−2i22i20000000i2−i2−66000000000000
χ504-404-22i3−2i32-4-202i3−2i320000-2-2-2222000000111000-1-1-1i3−i3i3−i3i3−i3002i2−2i20000000−i2i26−6000000000000
χ516666-3-3-3-36-36-3-3-30-20-200000001-2-201000000000000000002211-2-2020-1-1-1-1000000110000
χ526666-3-3-3-36-36-3-3-30-20-200000001-2-20100000000000000000-2-211220-201111000000-1-10000
χ53666-36666-3-3-3-3-3-36-26-2000000-3-211-3-2000000000000000-2-20011001010000000000000000
χ54666-36666-3-3-3-3-3-3-6-2-6-20000003-2113-200000000000000022001100-10-10000000000000000
χ5566-66-333-36-3-633-3020-20000000-1-220100000000000000000221-1-220-20-1-1110000001-10000
χ5666-66-333-36-3-633-3020-20000000-1-220100000000000000000-2-21-12-202011-1-1000000-110000
χ5766-6-36-6-66-3-3333-362-6-2000000-321-13-20000000000000002-2001-100-1010000000000000000
χ5866-6-36-6-66-3-3333-3-626-2000000321-1-3-2000000000000000-22001-10010-10000000000000000
χ598-808800-8-88000-80000222-2-2-2000000222000-2-2-2000000000000000000000000000000000
χ608-808-4−4i34i34-8-40−4i34i340000222-2-2-2000000-1-1-1000111i3−i3i3−i3i3−i3000000000000000000000000000
χ618-808-44i3−4i34-8-404i3−4i340000222-2-2-2000000-1-1-1000111−i3i3−i3i3−i3i3000000000000000000000000000
χ628-80-4800-84-40004000022-4-2-2400000022-4000-2-24000000000000000000000000000000000
χ638-80-4800-84-4000400002-42-24-20000002-42000-24-2000000000000000000000000000000000
χ648-80-4800-84-400040000-4224-2-2000000-4220004-2-2000000000000000000000000000000000
χ658-80-4-4−4i34i344202i3−2i3-2000022-4-2-24000000-1-1200011-2i3−i3i3−i3−2i32i3000000000000000000000000000
χ668-80-4-4−4i34i344202i3−2i3-200002-42-24-2000000-12-10001-21i3−i3−2i32i3i3−i3000000000000000000000000000
χ678-80-4-4−4i34i344202i3−2i3-20000-4224-2-20000002-1-1000-211−2i32i3i3−i3i3−i3000000000000000000000000000
χ688-80-4-44i3−4i34420−2i32i3-2000022-4-2-24000000-1-1200011-2−i3i3−i3i32i3−2i3000000000000000000000000000
χ698-80-4-44i3−4i34420−2i32i3-200002-42-24-2000000-12-10001-21−i3i32i3−2i3−i3i3000000000000000000000000000
χ708-80-4-44i3−4i34420−2i32i3-20000-4224-2-20000002-1-1000-2112i3−2i3−i3i3−i3i3000000000000000000000000000
χ71121212-6-6-6-6-6-63-63330-40-40000000222020000000000000000000-1-1000000000000000000000
χ721212-12-6-666-6-636-3-33040-40000000-22-2020000000000000000000-11000000000000000000000

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