Finite Group Databasebeta

← Group #11878358

Character table — Group #11878358

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444444444488888888888888888888888242424242424242424242424242424243636363636364848484872
order122233446666662346666688121212121212121212126668121212242424242424242424242424242424242444444466121212121212224488121212128
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-11-1-111-111-1-1-1-111-1-1-1-1-1-11-1-11-1
χ3111111111111111111111111111111111111111111111111111111111-11-111-1-11-1-11111-1-1-1-1-1-1-1-1-111-1-1
χ4111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111-1-1-1-11
χ51111111111111111111111-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-11-1111-1-1-1-111-1-1-1-111-111-11
χ61111111111111111111111-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-1-1111-1-1111111111111-1-1-1-1-1-1-1
χ71111111111111111111111-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1-111-1-1-1-1-1-1-1-11111-1-11111-1
χ81111111111111111111111-1-11111111111111-1111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1111-11-1-1-11111-1-1-1-1-1-1111-1-111
χ911111111111111-11-1-1-111111-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-111-11-1-11-11111-1-1-1-11-11-111-11-11-1
χ1011111111111111-11-1-1-111111-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-11-1-1-11-11111-1-111-1-1-11-11-1-1-1-1111
χ1111111111111111-11-1-1-111111-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1111-11-1-1-1-111-1-111-11-11-1-111-1-11
χ1211111111111111-11-1-1-111111-1-111111111-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11-111-11-1-1-1-111111-11-1111-11-1-1
χ1311111111111111-11-1-1-1111-1-1-1-111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-111111111111-11-1-1-111-1-111-1-1-11-111111-1-1-1
χ1411111111111111-11-1-1-1111-1-1-1-111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-1111111111-111-1-1-111111-1-1-1-11-11-1-1-11-11-11
χ1511111111111111-11-1-1-1111-1-1-1-111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-111111111-11-1-1111-1-1-1-1-111111-11-1-1-1-11-111
χ1611111111111111-11-1-1-1111-1-1-1-111111111-1-1-11-1-1-1-1-1-1-1-1-1-1-111111111-1-1-11-1111-1-111-1-111-11-1111-1-111-1
χ17222222-2-222222222-22222200-2-2-2-2-2-2-2-2-2-22220-2-2-2000000000000000000000000000000002-2-220000000
χ18222222-2-222222222-22222200-2-2-2-2-2-2-2-2-2-22220-2-2-200000000000000000000000000000000-222-20000000
χ19222222-2-2222222-222-2-22220022-2-2-2-2-2-2-2-2-2-2-202220000000000000000000000000000000022-2-20000000
χ20222222-2-2222222-222-2-22220022-2-2-2-2-2-2-2-2-2-2-2022200000000000000000000000000000000-2-2220000000
χ2122222-122-12-122-12-1222-1-1-122-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-120200220-1-10000-1-1000000-100-10
χ2222222-122-12-122-12-1222-1-1-122-1-122-1-1-1-1-1-1-1-1-122-1-122-1-1-1-1-1-122-1-1-1-1-1-1-20-200-2-201100001100000010010
χ2322222-122-12-122-12-1222-1-1-1-2-2-1-122-1-1-1-1-1-1-1-1-1-22-1-1-2-2111111-2-211111120-2002-20-1-10000-1-100000010010
χ2422222-122-12-122-12-1222-1-1-1-2-2-1-122-1-1-1-1-1-1-1-1-1-22-1-1-2-2111111-2-2111111-20200-22011000011000000-100-10
χ2522222-122-12-122-1-2-1-2-2-2-1-1-1221122-1-1-1-1-1-1111-2-21122-1-1-1-1-1-1-2-211111120-200-220-1-1000011000000100-10
χ2622222-122-12-122-1-2-1-2-2-2-1-1-1221122-1-1-1-1-1-1111-2-21122-1-1-1-1-1-1-2-2111111-202002-20110000-1-1000000-10010
χ2722222-122-12-122-1-2-1-2-2-2-1-1-1-2-21122-1-1-1-1-1-11112-211-2-211111122-1-1-1-1-1-120200-2-20-1-1000011000000-10010
χ2822222-122-12-122-1-2-1-2-2-2-1-1-1-2-21122-1-1-1-1-1-11112-211-2-211111122-1-1-1-1-1-1-20-200220110000-1-1000000100-10
χ292222-12222-12-1-122-12-1-1-1-1-12222-1-122-1-1-1-12-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10202200200-1-1-1-1000000000-1-100
χ302222-12222-12-1-122-12-1-1-1-1-12222-1-122-1-1-1-12-1-12-1-1-1-1-122-1-1-1-1-1-122-1-1-1-10-20-2-200-20011110000000001100
χ312222-12222-12-1-122-12-1-1-1-1-1-2-222-1-122-1-1-1-12-1-1-2-1-1-111-2-2111111-2-21111020-2-2002001111000000000-1-100
χ322222-12222-12-1-122-12-1-1-1-1-1-2-222-1-122-1-1-1-12-1-1-2-1-1-111-2-2111111-2-211110-202200-200-1-1-1-10000000001100
χ332222-12222-12-1-12-2-1-211-1-1-122-2-2-1-122-1-1-1-1-211-2111-1-122-1-1-1-111-2-211110202-200-200-1-111000000000-1100
χ342222-12222-12-1-12-2-1-211-1-1-122-2-2-1-122-1-1-1-1-211-2111-1-122-1-1-1-111-2-211110-20-220020011-1-10000000001-100
χ352222-12222-12-1-12-2-1-211-1-1-1-2-2-2-2-1-122-1-1-1-1-211211111-2-21111-1-122-1-1-1-1020-2200-20011-1-1000000000-1100
χ362222-12222-12-1-12-2-1-211-1-1-1-2-2-2-2-1-122-1-1-1-1-211211111-2-21111-1-122-1-1-1-10-202-200200-1-1110000000001-100
χ3744444-2-4-4-24-244-24-2-444-2-2-20022-4-4222222-2-2-20-4220000000000000000000000000000000000000000000
χ3844444-2-4-4-24-244-2-4-24-4-4-2-2-200-2-2-4-422222222204-2-20000000000000000000000000000000000000000000
χ394444-24-4-44-24-2-244-2-4-2-2-2-2-200-4-422-4-422224-2-202220000000000000000000000000000000000000000000
χ404444-24-4-44-24-2-24-4-2422-2-2-2004422-4-42222-4220-2-2-20000000000000000000000000000000000000000000
χ414444-2-244-2-2-2-2-2-2414-2-211144-2-2-2-2-2-21111-2114-211-2-2-2-21111-2-2-2-21111000000000000000000000000000
χ424444-2-244-2-2-2-2-2-2414-2-2111-4-4-2-2-2-2-2-21111-211-4-2112222-1-1-1-12222-1-1-1-1000000000000000000000000000
χ434444-2-244-2-2-2-2-2-2-41-4221114422-2-2-2-211112-1-1-42-1-1-2-2-2-211112222-1-1-1-1000000000000000000000000000
χ444444-2-244-2-2-2-2-2-2-41-422111-4-422-2-2-2-211112-1-142-1-12222-1-1-1-1-2-2-2-21111000000000000000000000000000
χ454444-2-2-4-4-2-2-2-2-2-241-4-2-211100222222-1-1-1-1-21102-1-100003i3i−3i−3i00003i3i−3i−3i000000000000000000000000000
χ464444-2-2-4-4-2-2-2-2-2-241-4-2-211100222222-1-1-1-1-21102-1-10000−3i−3i3i3i0000−3i−3i3i3i000000000000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-2-4142211100-2-22222-1-1-1-12-1-10-21100003i3i−3i−3i0000−3i−3i3i3i000000000000000000000000000
χ484444-2-2-4-4-2-2-2-2-2-2-4142211100-2-22222-1-1-1-12-1-10-2110000−3i−3i3i3i00003i3i−3i−3i000000000000000000000000000
χ4944-4-4440044-4-4-4-4040004-4-4000000000000000000000000000000000000000000000000000000022−2200000
χ5044-4-4440044-4-4-4-4040004-4-40000000000000000000000000000000000000000000000000000000−222200000
χ514-44-44400-4-44-44-404000-44-4−2i22i200000000000000000−2i22i2−2i22i2−2i22i2−2i22i200000000000000000000000000000000000
χ524-44-44400-4-44-44-404000-44-42i2−2i2000000000000000002i2−2i22i2−2i22i2−2i22i2−2i200000000000000000000000000000000000
χ534-44-44-2002-4-2-4420-20002-22−2i22i223−23000000000000023−23−2i22i2i2−i2i2−i2i2−i200i6−i6i6−i6i6−i6000000000000000000000000000
χ544-44-44-2002-4-2-4420-20002-22−2i22i2−23230000000000000−2323−2i22i2i2−i2i2−i2i2−i200−i6i6−i6i6−i6i6000000000000000000000000000
χ554-44-44-2002-4-2-4420-20002-222i2−2i223−23000000000000023−232i2−2i2−i2i2−i2i2−i2i200−i6i6−i6i6−i6i6000000000000000000000000000
χ564-44-44-2002-4-2-4420-20002-222i2−2i2−23230000000000000−23232i2−2i2−i2i2−i2i2−i2i200i6−i6i6−i6i6−i6000000000000000000000000000
χ574-44-4-2400-4242-2-40-20−2i32i32-22−2i22i200000000000−2i32i30000i2−i2−2i22i2i2−i2i2−i26−6006−6−66000000000000000000000000000
χ584-44-4-2400-4242-2-40-20−2i32i32-222i2−2i200000000000−2i32i30000−i2i22i2−2i2−i2i2−i2i2−6600−666−6000000000000000000000000000
χ594-44-4-2400-4242-2-40-202i3−2i32-22−2i22i2000000000002i3−2i30000i2−i2−2i22i2i2−i2i2−i2−6600−666−6000000000000000000000000000
χ604-44-4-2400-4242-2-40-202i3−2i32-222i2−2i2000000000002i3−2i30000−i2i22i2−2i2−i2i2−i2i26−6006−6−66000000000000000000000000000
χ614-44-4-2-20022-22-22010−2i32i3-11-1−2i22i223−2300003i3i−3i−3i0i3−i300−33i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ236−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000
χ624-44-4-2-20022-22-22010−2i32i3-11-1−2i22i2−23230000−3i−3i3i3i0i3−i3003−3i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ236−6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000
χ634-44-4-2-20022-22-22010−2i32i3-11-12i2−2i223−2300003i3i−3i−3i0i3−i300−33−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−66−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000
χ644-44-4-2-20022-22-22010−2i32i3-11-12i2−2i2−23230000−3i−3i3i3i0i3−i3003−3−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ23−66i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000
χ654-44-4-2-20022-22-220102i3−2i3-11-1−2i22i223−230000−3i−3i3i3i0−i3i300−33i2−i2i2−i2−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−66i6−i6−ζ7+ζ23ζ7−ζ23−ζ5+ζ13ζ5−ζ13000000000000000000000000000
χ664-44-4-2-20022-22-220102i3−2i3-11-1−2i22i2−232300003i3i−3i−3i0−i3i3003−3i2−i2i2−i2ζ5−2ζ7+ζ13−2ζ23−ζ5+2ζ7−ζ13+2ζ23−2ζ5+ζ7−2ζ13+ζ232ζ5−ζ7+2ζ13−ζ23−66−i6i6ζ5−ζ13−ζ5+ζ13ζ7−ζ23−ζ7+ζ23000000000000000000000000000
χ674-44-4-2-20022-22-220102i3−2i3-11-12i2−2i223−230000−3i−3i3i3i0−i3i300−33−i2i2−i2i22ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ23−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ236−6−i6i6ζ7−ζ23−ζ7+ζ23ζ5−ζ13−ζ5+ζ13000000000000000000000000000
χ684-44-4-2-20022-22-220102i3−2i3-11-12i2−2i2−232300003i3i−3i−3i0−i3i3003−3−i2i2−i2i2−ζ5+2ζ7−ζ13+2ζ23ζ5−2ζ7+ζ13−2ζ232ζ5−ζ7+2ζ13−ζ23−2ζ5+ζ7−2ζ13+ζ236−6i6−i6−ζ5+ζ13ζ5−ζ13−ζ7+ζ23ζ7−ζ23000000000000000000000000000
χ694-4-44444-4-4-4-44-4404000-4-4400004-44-44-44-400000000000000000000000000000000000000000000000000
χ704-4-4444-44-4-4-44-4404000-4-440000-44-44-44-4400000000000000000000000000000000000000000000000000
χ714-4-444-24-42-424-4-20-200022-200004-4-22-22-220000000000000000000000000000000−2i32i300000000000000000
χ724-4-444-24-42-424-4-20-200022-200004-4-22-22-2200000000000000000000000000000002i3−2i300000000000000000
χ734-4-444-2-442-424-4-20-200022-20000-442-22-22-20000000000000000000000000000000000000−2i32i300000000000
χ744-4-444-2-442-424-4-20-200022-20000-442-22-22-200000000000000000000000000000000000002i3−2i300000000000
χ754-4-44-244-4-42-4-2240-200022-20000-224-4-22-2200000000000000000000000000000000023−23000000000000000
χ764-4-44-244-4-42-4-2240-200022-20000-224-4-22-22000000000000000000000000000000000−2323000000000000000
χ774-4-44-24-44-42-4-2240-200022-200002-2-442-22-20000000000000000000000000000000000023−230000000000000
χ784-4-44-24-44-42-4-2240-200022-200002-2-442-22-200000000000000000000000000000000000−23230000000000000
χ7988-8-88-400-484-8-840-4000-44400000000000000000000000000000000000000000000000000000000000000
χ8088-8-8-48008-4-844-80-4000-44400000000000000000000000000000000000000000000000000000000000000
χ8188-8-8-4-400-4-44444020002-2-2000000006i−6i−6i6i00000000000000000000000000000000000000000000000000
χ8288-8-8-4-400-4-44444020002-2-200000000−6i6i6i−6i00000000000000000000000000000000000000000000000000
χ838-8-88-4-48-8444-44-402000-2-220000-44-442-22-200000000000000000000000000000000000000000000000000
χ848-8-88-4-4-88444-44-402000-2-2200004-44-4-22-2200000000000000000000000000000000000000000000000000

Here ζ is a primitive root of unity of order 24 (ζ24 = 1); i = ζ6.