Finite Group Databasebeta

← Group #11878574

Character table — Group #11878574

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222222244444444444444888888888812121212121212121212121216161616161616162424242424242424242436363636484848487272
order122233446666662346666612121212121224666121212121288882424242424242424666612121212244488242424242244612121244
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ21111111111111111111111111111111111111111111111111111111111-11-11-1-1-1-1-1-1-1-1-1-1-11-11-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-1111111111-11-1111111-1-1-1-11-11-1-1-1
χ411111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-11111-1-1-1-111
χ51111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-11-11-1-1-1-1-1-1-1-1-1-1-11-11-111
χ61111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-11111111111-1-1-1-1-1-1
χ71111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11111-1-1-1-1-1-111111111-1-1
χ81111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-11-11111111-1-1-1-1-11-1111
χ911111111111111-11-1-1-111111-1-1111-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-111-1-11-111-1-11-11-111-1-1-11
χ1011111111111111-11-1-1-111111-1-1111-1-1-1-1-111-1-111-1-11111-1-1-1-11111-1-1-1-1-111-1-11-1-111-11-11-111-11-1
χ1111111111111111-11-1-1-111111-1-1111-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-11-1-111-111-1-1-11-111-1-111-1
χ1211111111111111-11-1-1-111111-1-1111-1-1-1-1-111-1-1-1-111-1-1-1-111111111-1-1-1-1-1-111-11-1-1111-11-1-1-111-11
χ1311111111111111-11-1-1-111111-1-111-11-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-111111-1-11-11-1-111-11-111-1-11-11
χ1411111111111111-11-1-1-111111-1-111-11-1-1-1-111-1-111-1-11111-1-1-1-1-1-1-1-11111-1-1111-111-1-11-11-1-1-1111-1
χ1511111111111111-11-1-1-111111-1-111-11-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-1111111-1-1-11-1-1111-11-111-1-11-1
χ1611111111111111-11-1-1-111111-1-111-11-1-1-1-111-1-1-1-111-1-1-1-11111-1-1-1-11111-111-11-111-1-1-11-11-111-1-11
χ17222222-2-222222222-222222-2-2-2-2-2-200222-2-2-2-2-20000000000000000000000000000002-2-22000000
χ18222222-2-222222222-222222-2-2-2-2-2-200222-2-2-2-2-2000000000000000000000000000000-222-2000000
χ19222222-2-2222222-222-2-2222-2-222-2-200-2-2-22-2-22200000000000000000000000000000022-2-2000000
χ20222222-2-2222222-222-2-2222-2-222-2-200-2-2-22-2-222000000000000000000000000000000-2-222000000
χ2122222-1222-1-12-122-1222-1-1-1-1222-1222-1-1-1-1-1-1-1-10000000000002-1-1-12-1-1-1202022-1-1-1-10000-10-1000
χ2222222-1222-1-12-122-1222-1-1-1-1222-1222-1-1-1-1-1-1-1-10000000000002-1-1-12-1-1-1-20-20-2-211110000101000
χ2322222-1222-1-12-122-1222-1-1-1-1222-12-2-2-1-1-1-1-1-1-1-1000000000000-2111-21112020-2-211110000-10-1000
χ2422222-1222-1-12-122-1222-1-1-1-1222-12-2-2-1-1-1-1-1-1-1-1000000000000-2111-2111-20-2022-1-1-1-10000101000
χ2522222-1222-1-12-12-2-1-2-2-2-1-1-1-12-2-2-122-21111-1-1110000000000002-1-1-1-211120-202-2-1-1110000-101000
χ2622222-1222-1-12-12-2-1-2-2-2-1-1-1-12-2-2-122-21111-1-1110000000000002-1-1-1-2111-2020-2211-1-1000010-1000
χ2722222-1222-1-12-12-2-1-2-2-2-1-1-1-12-2-2-12-221111-1-111000000000000-21112-1-1-120-20-2211-1-10000-101000
χ2822222-1222-1-12-12-2-1-2-2-2-1-1-1-12-2-2-12-221111-1-111000000000000-21112-1-1-1-20202-2-1-111000010-1000
χ292222-1222-122-12-12-12-1-1-1-1-12-1-1-12-1222-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-12-1-1-12-1-1020200000000000-10-100
χ302222-1222-122-12-12-12-1-1-1-1-12-1-1-12-1222-1-12-1-1-1-1-2-2-2-211111111-12-1-1-12-1-10-20-20000000000010100
χ312222-1222-122-12-12-12-1-1-1-1-12-1-1-12-1-2-22-1-12-1-1-1-12222-1-1-1-1-1-1-1-11-2111-2110-20-20000000000010100
χ322222-1222-122-12-12-12-1-1-1-1-12-1-1-12-1-2-22-1-12-1-1-1-1-2-2-2-2111111111-2111-211020200000000000-10-100
χ332222-1222-122-12-1-2-1-211-1-1-12-1112-12-2-211-2-1-11122-2-2-1-1-1-11111-12-1-11-211020-200000000000-10100
χ342222-1222-122-12-1-2-1-211-1-1-12-1112-12-2-211-2-1-111-2-2221111-1-1-1-1-12-1-11-2110-2020000000000010-100
χ352222-1222-122-12-1-2-1-211-1-1-12-1112-1-22-211-2-1-11122-2-2-1-1-1-111111-211-12-1-10-2020000000000010-100
χ362222-1222-122-12-1-2-1-211-1-1-12-1112-1-22-211-2-1-111-2-2221111-1-1-1-11-211-12-1-1020-200000000000-10100
χ3744444-2-4-44-2-24-244-2-444-2-2-22-4-4-42-400-2-2-2222220000000000000000000000000000000000000000
χ3844444-2-4-44-2-24-24-4-24-4-4-2-2-22-4442-400222-222-2-20000000000000000000000000000000000000000
χ394444-24-4-4-244-24-24-2-4-2-2-2-2-2-4222-42004-2-2-422220000000000000000000000000000000000000000
χ404444-24-4-4-244-24-2-4-2422-2-2-2-42-2-2-4200-422422-2-20000000000000000000000000000000000000000
χ414444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-244-211-21111000000000000-2-211-2-21100000000000000000000
χ424444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-2-4-4-211-2111100000000000022-1-122-1-100000000000000000000
χ434444-2-244-2-2-2-2-2-2-41-422111-2-222-2-24-42-1-1211-1-1000000000000-2-21122-1-100000000000000000000
χ444444-2-244-2-2-2-2-2-2-41-422111-2-222-2-2-442-1-1211-1-100000000000022-1-1-2-21100000000000000000000
χ454444-2-2-4-4-2-2-2-2-2-241-4-2-211122222200-2112-1-1-1-1000000000000003-3003-300000000000000000000
χ464444-2-2-4-4-2-2-2-2-2-241-4-2-211122222200-2112-1-1-1-100000000000000-3300-3300000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-2-4142211122-2-222002-1-1-2-1-111000000000000003-300-3300000000000000000000
χ484444-2-2-4-4-2-2-2-2-2-2-4142211122-2-222002-1-1-2-1-11100000000000000-33003-300000000000000000000
χ4944-4-44400-4-4-444-4040004-4-4000000000000000000−2i22i20000−2i2−2i22i22i20000000000000000000000000000
χ5044-4-44400-4-4-444-4040004-4-40000000000000000002i2−2i200002i22i2−2i2−2i20000000000000000000000000000
χ5144-4-4-24002-4-4-2420-2000-2220023−23000000000023−2300−2i22i2i6i6−i6−i6i2i2−i2−i20000000000000000000000000000
χ5244-4-4-24002-4-4-2420-2000-2220023−23000000000023−23002i2−2i2−i6−i6i6i6−i2−i2i2i20000000000000000000000000000
χ5344-4-4-24002-4-4-2420-2000-22200−23230000000000−232300−2i22i2−i6−i6i6i6i2i2−i2−i20000000000000000000000000000
χ5444-4-4-24002-4-4-2420-2000-22200−23230000000000−2323002i2−2i2i6i6−i6−i6−i2−i2i2i20000000000000000000000000000
χ554-44-4440044-4-4-4-404000-44-40000000000000000−2i22i200−2i22i2−2i22i200000000000000000000000000000000
χ564-44-4440044-4-4-4-404000-44-400000000000000002i2−2i2002i2−2i22i2−2i200000000000000000000000000000000
χ574-44-4-2400-24-42-420-20−2i32i32-22000000000−2i32i300000−2i22i200i2−i2i2−i26−66−60000000000000000000000000000
χ584-44-4-2400-24-42-420-20−2i32i32-22000000000−2i32i3000002i2−2i200−i2i2−i2i2−66−660000000000000000000000000000
χ594-44-4-2400-24-42-420-202i3−2i32-220000000002i3−2i300000−2i22i200i2−i2i2−i2−66−660000000000000000000000000000
χ604-44-4-2400-24-42-420-202i3−2i32-220000000002i3−2i3000002i2−2i200−i2i2−i2i26−66−60000000000000000000000000000
χ614-4-44444-4-4-44-4-4404000-4-444-400-440000004-4000000000000000000000000000000000000000000
χ624-4-4444-44-4-44-4-4404000-4-44-44004-4000000-44000000000000000000000000000000000000000000
χ634-4-444-24-4-42-2-4240-200022-2-2-40024000000-2200000000000000000000000000000023−230000000000
χ644-4-444-24-4-42-2-4240-200022-2-2-40024000000-22000000000000000000000000000000−23230000000000
χ654-4-444-2-44-42-2-4240-200022-22400-2-40000002-20000000000000000000000000000−2i32i3000000000000
χ664-4-444-2-44-42-2-4240-200022-22400-2-40000002-200000000000000000000000000002i3−2i3000000000000
χ674-4-44-244-42-442-4-20-200022-24200-4-2000000-220000000000−2i32i32i3−2i30000000000000000000000000000
χ684-4-44-244-42-442-4-20-200022-24200-4-2000000-2200000000002i3−2i3−2i32i30000000000000000000000000000
χ694-4-44-24-442-442-4-20-200022-2-4-200420000002-200000023−23−232300000000000000000000000000000000
χ704-4-44-24-442-442-4-20-200022-2-4-200420000002-2000000−232323−2300000000000000000000000000000000
χ7188-8-88-400-8448-4-80-4000-44400000000000000000000000000000000000000000000000000000000
χ7288-8-8-4-400444-4-44020002-2-20043−430000000000−23230000000000000000000000000000000000000000
χ7388-8-8-4-400444-4-44020002-2-200−4343000000000023−230000000000000000000000000000000000000000
χ748-88-88-4008-44-84-80-40004-4400000000000000000000000000000000000000000000000000000000
χ758-88-8-4-400-4-44444020−4i34i3-22-20000000002i3−2i3000000000000000000000000000000000000000000000
χ768-88-8-4-400-4-444440204i3−4i3-22-2000000000−2i32i3000000000000000000000000000000000000000000000
χ778-8-88-4-48-844-444-402000-2-22-44004-40000002-2000000000000000000000000000000000000000000
χ788-8-88-4-4-8844-444-402000-2-224-400-44000000-22000000000000000000000000000000000000000000

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