Finite Group Databasebeta

← Group #11878569

Character table — Group #11878569

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78
size1111222222222244444444444444888888888812121212121212121212121216161616161616162424242424242424242436363636484848487272
order1222334466666623466666121212121212446661212121212888824242424242424241212121212121212244488242424242244612121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111
χ2111111111111111111111111111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111-1-1-1-1
χ311111111111111111111111111111111111111-1-1-1-1-1-1-1-1-1-1-1-111111111-1-111111111-1-1-1-1-1-111-1-1
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
χ51111111111111111111111111111-1-111111111111111111111-1-1-1-1-1-1-1-1-1-111-1-1-1-1-1-1-1-1-1-1-1-11111
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
χ81111111111111111111111111111-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-1-1111111-1-1-1-111-1-111
χ911111111111111-11-1-1-11111-1-11111-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-11-11-11-111-1-11-11-11-11-1-11
χ1011111111111111-11-1-1-11111-1-11111-1-1-1-1-111-1-111-1-11111-1-1-1-111-1-111-1-11-1-11-11-1-111-11-111-1-111-1
χ1111111111111111-11-1-1-11111-1-11111-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-111-11-111-1-1-11-11-111-11-1
χ1211111111111111-11-1-1-11111-1-11111-1-1-1-1-111-1-1-1-111-1-1-1-1111111-1-111-1-1-11-11-11-1-1111-11-1-11-11-11
χ1311111111111111-11-1-1-11111-1-1111-11-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-111-1-11-1-111-11-11-111-1-11
χ1411111111111111-11-1-1-11111-1-1111-11-1-1-1-111-1-111-1-11111-1-1-1-1-1-111-1-111-11-111-111-1-11-11-1-11-111-1
χ1511111111111111-11-1-1-11111-1-1111-11-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1111-11-1-11-1-1111-11-11-11-11-1
χ1611111111111111-11-1-1-11111-1-1111-11-1-1-1-111-1-1-1-111-1-1-1-11111-1-111-1-1111-1-111-111-1-1-11-111-1-11-11
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
χ19222222-2-2222222-222-2-2222-222-2-2-200-2-2-22-2-22200000000000000000000000000000022-2-2000000
χ20222222-2-2222222-222-2-2222-222-2-2-200-2-2-22-2-222000000000000000000000000000000-2-222000000
χ2122222-1222-1-12-122-12-1-1-1-1-1-1-1-12-12222-1-12-1-1-1-12222-1-1-1-1-1-1-1-12-1-12-1-1-1-122000000000000-1-10000
χ2222222-1222-1-12-122-12-1-1-1-1-1-1-1-12-12222-1-12-1-1-1-1-2-2-2-2111111112-1-12-1-1-1-1-2-2000000000000110000
χ2322222-1222-1-12-122-12-1-1-1-1-1-1-1-12-12-2-22-1-12-1-1-1-12222-1-1-1-1-1-1-1-1-211-21111-2-2000000000000110000
χ2422222-1222-1-12-122-12-1-1-1-1-1-1-1-12-12-2-22-1-12-1-1-1-1-2-2-2-211111111-211-2111122000000000000-1-10000
χ2522222-1222-1-12-12-2-1-211-1-1-1-1112-122-2-211-2-1-11122-2-2-1-1-1-111112-11-2-1-1112-2000000000000-110000
χ2622222-1222-1-12-12-2-1-211-1-1-1-1112-122-2-211-2-1-111-2-2221111-1-1-1-12-11-2-1-111-220000000000001-10000
χ2722222-1222-1-12-12-2-1-211-1-1-1-1112-12-22-211-2-1-11122-2-2-1-1-1-11111-21-1211-1-1-220000000000001-10000
χ2822222-1222-1-12-12-2-1-211-1-1-1-1112-12-22-211-2-1-111-2-2221111-1-1-1-1-21-1211-1-12-2000000000000-110000
χ292222-1222-122-12-12-1222-1-1-1222-12-122-1-1-1-1-1-1-1-1000000000000-122-1-1-1-1-1002222-1-1-1-1000000-1-100
χ302222-1222-122-12-12-1222-1-1-1222-12-122-1-1-1-1-1-1-1-1000000000000-122-1-1-1-1-100-2-2-2-211110000001100
χ312222-1222-122-12-12-1222-1-1-1222-12-1-2-2-1-1-1-1-1-1-1-10000000000001-2-2111110022-2-21111000000-1-100
χ322222-1222-122-12-12-1222-1-1-1222-12-1-2-2-1-1-1-1-1-1-1-10000000000001-2-21111100-2-222-1-1-1-10000001100
χ332222-1222-122-12-1-2-1-2-2-2-1-1-12-2-2-12-12-21111-1-111000000000000-12-21-1-111002-22-2-1-111000000-1100
χ342222-1222-122-12-1-2-1-2-2-2-1-1-12-2-2-12-12-21111-1-111000000000000-12-21-1-11100-22-2211-1-10000001-100
χ352222-1222-122-12-1-2-1-2-2-2-1-1-12-2-2-12-1-221111-1-1110000000000001-22-111-1-1002-2-2211-1-1000000-1100
χ362222-1222-122-12-1-2-1-2-2-2-1-1-12-2-2-12-1-221111-1-1110000000000001-22-111-1-100-222-2-1-1110000001-100
χ3744444-2-4-44-2-24-244-2-4-2-2-2-2-2222-42-4004-2-2-422220000000000000000000000000000000000000000
χ3844444-2-4-44-2-24-24-4-2422-2-2-22-2-2-42-400-422422-2-20000000000000000000000000000000000000000
χ394444-24-4-4-244-24-24-2-444-2-2-2-4-4-42-4200-2-2-2222220000000000000000000000000000000000000000
χ404444-24-4-4-244-24-2-4-24-4-4-2-2-2-4442-4200222-222-2-20000000000000000000000000000000000000000
χ414444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-244-211-21111000000000000-2-2-2-2111100000000000000000000
χ424444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-2-4-4-211-211110000000000002222-1-1-1-100000000000000000000
χ434444-2-244-2-2-2-2-2-2-41-422111-222-2-2-24-42-1-1211-1-1000000000000-2-22211-1-100000000000000000000
χ444444-2-244-2-2-2-2-2-2-41-422111-222-2-2-2-442-1-1211-1-100000000000022-2-2-1-11100000000000000000000
χ454444-2-2-4-4-2-2-2-2-2-241-4-2-211122222200-2112-1-1-1-100000000000000003-33-300000000000000000000
χ464444-2-2-4-4-2-2-2-2-2-241-4-2-211122222200-2112-1-1-1-10000000000000000-33-3300000000000000000000
χ474444-2-2-4-4-2-2-2-2-2-2-414221112-2-2222002-1-1-2-1-11100000000000000003-3-3300000000000000000000
χ484444-2-2-4-4-2-2-2-2-2-2-414221112-2-2222002-1-1-2-1-1110000000000000000-333-300000000000000000000
χ4944-4-44400-4-4-444-4040004-4-40000000000000000−2i22i200−2i2−2i22i22i200000000000000000000000000000000
χ5044-4-44400-4-4-444-4040004-4-400000000000000002i2−2i2002i22i2−2i2−2i200000000000000000000000000000000
χ5144-4-44-200-4224-2-40-20−2i32i3-222000000000−2i32i300000−2i22i200i2i2−i2−i266−6−60000000000000000000000000000
χ5244-4-44-200-4224-2-40-20−2i32i3-222000000000−2i32i3000002i2−2i200−i2−i2i2i2−6−6660000000000000000000000000000
χ5344-4-44-200-4224-2-40-202i3−2i3-2220000000002i3−2i300000−2i22i200i2i2−i2−i2−6−6660000000000000000000000000000
χ5444-4-44-200-4224-2-40-202i3−2i3-2220000000002i3−2i3000002i2−2i200−i2−i2i2i266−6−60000000000000000000000000000
χ554-44-4440044-4-4-4-404000-44-4000000000000000000−2i22i20000−2i22i2−2i22i20000000000000000000000000000
χ564-44-4440044-4-4-4-404000-44-40000000000000000002i2−2i200002i2−2i22i2−2i20000000000000000000000000000
χ574-44-44-2004-22-42-40-20002-22023−230000000000023−2300−2i22i2i6−i6i6−i6i2−i2i2−i20000000000000000000000000000
χ584-44-44-2004-22-42-40-20002-22023−230000000000023−23002i2−2i2−i6i6−i6i6−i2i2−i2i20000000000000000000000000000
χ594-44-44-2004-22-42-40-20002-220−232300000000000−232300−2i22i2−i6i6−i6i6i2−i2i2−i20000000000000000000000000000
χ604-44-44-2004-22-42-40-20002-220−232300000000000−2323002i2−2i2i6−i6i6−i6−i2i2−i2i20000000000000000000000000000
χ614-4-44444-4-4-44-4-4404000-4-44400-4-440000004-4000000000000000000000000000000000000000000
χ624-4-4444-44-4-44-4-4404000-4-44-40044-4000000-44000000000000000000000000000000000000000000
χ634-4-444-24-4-42-2-4240-200022-2-200-424000000-2200000023−23−232300000000000000000000000000000000
χ644-4-444-24-4-42-2-4240-200022-2-200-424000000-22000000−232323−2300000000000000000000000000000000
χ654-4-444-2-44-42-2-4240-200022-22004-2-40000002-20000000000−2i32i32i3−2i30000000000000000000000000000
χ664-4-444-2-44-42-2-4240-200022-22004-2-40000002-200000000002i3−2i3−2i32i30000000000000000000000000000
χ674-4-44-244-42-442-4-20-200022-24002-4-2000000-220000000000000000000000000000−2i32i3000000000000
χ684-4-44-244-42-442-4-20-200022-24002-4-2000000-2200000000000000000000000000002i3−2i3000000000000
χ694-4-44-24-442-442-4-20-200022-2-400-2420000002-200000000000000000000000000000023−230000000000
χ704-4-44-24-442-442-4-20-200022-2-400-2420000002-2000000000000000000000000000000−23230000000000
χ7188-8-8-48004-8-8-4840-4000-44400000000000000000000000000000000000000000000000000000000
χ7288-8-8-4-400444-4-44020−4i34i32-2-20000000002i3−2i3000000000000000000000000000000000000000000000
χ7388-8-8-4-400444-4-440204i3−4i32-2-2000000000−2i32i3000000000000000000000000000000000000000000000
χ748-88-8-4800-48-84-840-40004-4400000000000000000000000000000000000000000000000000000000
χ758-88-8-4-400-4-4444402000-22-2043−4300000000000−23230000000000000000000000000000000000000000
χ768-88-8-4-400-4-4444402000-22-20−43430000000000023−230000000000000000000000000000000000000000
χ778-8-88-4-48-844-444-402000-2-22-40044-40000002-2000000000000000000000000000000000000000000
χ788-8-88-4-4-8844-444-402000-2-22400-4-44000000-22000000000000000000000000000000000000000000

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