Finite Group Databasebeta

← Group #11867798

Character table — Group #11867798

Order 1152.

C1C2C3C4C5C6C7C8C9C10C11C12C13C14C15C16C17C18C19C20C21C22C23C24C25C26C27C28C29C30C31C32C33C34C35C36C37C38C39C40C41C42C43C44C45C46C47C48C49C50C51C52C53C54C55C56C57C58C59C60C61C62C63C64C65C66C67C68C69C70C71C72C73C74C75C76C77C78C79C80C81C82C83C84
size111122222222224444444444444466668888888888121212121212121212121212121216161616161616161818181824242424242424243636484848487272
order12223344666666234666661212121212128888446661212121212888888242424242424242412121212121212122244444424242424241212121224
χ1111111111111111111111111111111111111111111111111111111111111111111111111111111111111
χ211111111111111111111111111111111111111111111-1-1-1-11111111111111111-1-1-1-1-111-1-1-1-1-1-1-1-111-1-1-1
χ311111111111111111111111111111111-1-11111111111111111111111-1-1-1-1-1-1-1-11111-1-1-1-1111111-1-1-1-1-1-1
χ411111111111111111111111111111111-1-11111111111-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-11-1-11-1-1-1-1-1-11-1-1111
χ51111111111111111111111111111-1-1-1-11111111111-1-11111-1-1-1-1-1-1-1-111111111-1-1-1-11-1-111111-1-11-1-11-1-1
χ61111111111111111111111111111-1-1-1-11111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1111111111111-1-1-1-1-1-1-1-111-1-1-1-111
χ71111111111111111111111111111-1-1-1-1-1-111111111-1-11111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111-11111-1-1-111-111
χ81111111111111111111111111111-1-1-1-1-1-111111111-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-1-111111111-1-1-1-1111111-1-1
χ911111111111111-11-1-1-111111-1-11111111-1-1-1-1-111-1-1-1-111-1-11111-1-1-1-111-1-111-1-11111-1-11111-1-1-1-1-1-111-11
χ1011111111111111-11-1-1-111111-1-11111111-1-1-1-1-111-1-1-1-1-1-1111111-1-1-1-111-1-111-1-1-1-1-1-11-11-1-1-111111-11-11-1
χ1111111111111111-11-1-1-111111-1-1111111-11-1-1-1-111-1-1-1-111-1-11111-1-1-1-1-1-111-1-111111111-1-111-1-1-1-111-1-11-1
χ1211111111111111-11-1-1-111111-1-1111111-11-1-1-1-111-1-1-1-1-1-1111111-1-1-1-1-1-111-1-111-1-1-1-1-11-11-1-11111-11-11-11
χ1311111111111111-11-1-1-111111-1-111-1-1-1-11-1-1-1-1-111-1-11111-1-1-1-1-1-1111111-1-111-1-1-1-1-1-1-11-1111-1-111-11-111-1
χ1411111111111111-11-1-1-111111-1-111-1-1-1-11-1-1-1-1-111-1-111-1-111-1-1-1-1111111-1-111-1-1111111-1-1-1-111-1-111-1-1-11
χ1511111111111111-11-1-1-111111-1-111-1-1-1-1-11-1-1-1-111-1-11111-1-1-1-1-1-11111-1-111-1-111-1-1-1-11-11-111-1-1111-11-1-11
χ1611111111111111-11-1-1-111111-1-111-1-1-1-1-11-1-1-1-111-1-111-1-111-1-1-1-11111-1-111-1-1111111-1-111-1-111-1-1-1-1111-1
χ17222222-2-222222222-222222-2-2-2-2-2-2000000222-2-2-2-2-2000000000000000000000022-2-200000000-22000000
χ18222222-2-222222222-222222-2-2-2-2-2-2000000222-2-2-2-2-20000000000000000000000-2-222000000002-2000000
χ19222222-2-2222222-222-2-2222-2-222-2-2000000-2-2-22-2-222000000000000000000000022-2-2000000002-2000000
χ20222222-2-2222222-222-2-2222-2-222-2-2000000-2-2-22-2-2220000000000000000000000-2-22200000000-22000000
χ2122222-1222-1-122-12-1222-1-1-12-1222-1000022-1-1-1-1-1-1-1-100222200000000-122-1-1-1-1-100002002-1-1-1-100-100-100
χ2222222-1222-1-122-12-1222-1-1-12-1222-1000022-1-1-1-1-1-1-1-100-2-2-2-200000000-122-1-1-1-1-10000-200-2111100100100
χ2322222-1222-1-122-12-1222-1-1-12-1222-10000-2-2-1-1-1-1-1-1-1-1002222000000001-2-2111110000-200-2-1-1-1-100100100
χ2422222-1222-1-122-12-1222-1-1-12-1222-10000-2-2-1-1-1-1-1-1-1-100-2-2-2-2000000001-2-21111100002002111100-100-100
χ2522222-1222-1-122-1-2-1-2-2-2-1-1-12-1-2-22-100002-21111-1-1110022-2-200000000-12-21-1-1110000-2002-1-11100100-100
χ2622222-1222-1-122-1-2-1-2-2-2-1-1-12-1-2-22-100002-21111-1-11100-2-22200000000-12-21-1-1110000200-211-1-100-100100
χ2722222-1222-1-122-1-2-1-2-2-2-1-1-12-1-2-22-10000-221111-1-1110022-2-2000000001-22-111-1-10000200-2-1-11100-100100
χ2822222-1222-1-122-1-2-1-2-2-2-1-1-12-1-2-22-10000-221111-1-11100-2-222000000001-22-111-1-10000-200211-1-100100-100
χ292222-1222-122-1-122-12-1-1-1-1-1-12-1-1-122222222-1-12-1-1-1-1220000-1-1-1-1-1-1-1-12-1-12-1-1-1-1000002200000000-1-1000
χ302222-1222-122-1-122-12-1-1-1-1-1-12-1-1-122222-2-22-1-12-1-1-1-1220000-1-1-1-1-1-1-1-1-211-2111100000-2-20000000011000
χ312222-1222-122-1-122-12-1-1-1-1-1-12-1-1-12-2-2-2-2222-1-12-1-1-1-1-2-20000111111112-1-12-1-1-1-100000-2-20000000011000
χ322222-1222-122-1-122-12-1-1-1-1-1-12-1-1-12-2-2-2-2-2-22-1-12-1-1-1-1-2-2000011111111-211-21111000002200000000-1-1000
χ332222-1222-122-1-12-2-1-211-1-1-1-1211-1222222-2-211-2-1-111-2-20000-1-1-1-111112-11-2-1-11100000-22000000001-1000
χ342222-1222-122-1-12-2-1-211-1-1-1-1211-122222-22-211-2-1-111-2-20000-1-1-1-11111-21-1211-1-1000002-200000000-11000
χ352222-1222-122-1-12-2-1-211-1-1-1-1211-12-2-2-2-22-2-211-2-1-1112200001111-1-1-1-12-11-2-1-111000002-200000000-11000
χ362222-1222-122-1-12-2-1-211-1-1-1-1211-12-2-2-2-2-22-211-2-1-1112200001111-1-1-1-1-21-1211-1-100000-22000000001-1000
χ372-2-22222-2-2-2-2-22202000-2-222200-2-22i2i−2i−2i0000002-200002i−2i002i2i−2i−2i0000000000002-22-200002i−2i0000000000
χ382-2-22222-2-2-2-2-22202000-2-222200-2-22i2i−2i−2i0000002-20000−2i2i002i2i−2i−2i000000000000-22-220000−2i2i0000000000
χ392-2-22222-2-2-2-2-22202000-2-222200-2-2−2i−2i2i2i0000002-200002i−2i00−2i−2i2i2i000000000000-22-2200002i−2i0000000000
χ402-2-22222-2-2-2-2-22202000-2-222200-2-2−2i−2i2i2i0000002-20000−2i2i00−2i−2i2i2i0000000000002-22-20000−2i2i0000000000
χ412-2-2222-22-2-2-2-22202000-2-22-2-200220000000000-22002-2002-2000022-2-2000000002-2-220000002-200000000
χ422-2-2222-22-2-2-2-22202000-2-22-2-200220000000000-22002-200-22000022-2-200000000-222-2000000-2200000000
χ432-2-2222-22-2-2-2-22202000-2-22-2-200220000000000-2200-22002-20000-2-22200000000-222-20000002-200000000
χ442-2-2222-22-2-2-2-22202000-2-22-2-200220000000000-2200-2200-220000-2-222000000002-2-22000000-2200000000
χ4544444-2-4-44-2-244-24-2-444-2-2-2-42-4-4-42000000-2-2-222222000000000000000000000000000000000000000000
χ4644444-2-4-44-2-244-2-4-24-4-4-2-2-2-4244-42000000222-222-2-2000000000000000000000000000000000000000000
χ474444-24-4-4-244-2-244-2-4-2-2-2-2-22-4222-40000004-2-2-42222000000000000000000000000000000000000000000
χ484444-24-4-4-244-2-24-4-2422-2-2-22-4-2-22-4000000-422422-2-2000000000000000000000000000000000000000000
χ494444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-2000044-211-2111100000000000000-2-2-2-2111100000000000000000000
χ504444-2-244-2-2-2-2-2-2414-2-2111-2-2-2-2-2-20000-4-4-211-21111000000000000002222-1-1-1-100000000000000000000
χ514444-2-244-2-2-2-2-2-2-41-422111-2-222-2-200004-42-1-1211-1-100000000000000-2-22211-1-100000000000000000000
χ524444-2-244-2-2-2-2-2-2-41-422111-2-222-2-20000-442-1-1211-1-10000000000000022-2-2-1-11100000000000000000000
χ534444-2-2-4-4-2-2-2-2-2-241-4-2-2111222222000000-2112-1-1-1-10000000000000000003-33-300000000000000000000
χ544444-2-2-4-4-2-2-2-2-2-241-4-2-2111222222000000-2112-1-1-1-1000000000000000000-33-3300000000000000000000
χ554444-2-2-4-4-2-2-2-2-2-2-4142211122-2-2220000002-1-1-2-1-1110000000000000000003-3-3300000000000000000000
χ564444-2-2-4-4-2-2-2-2-2-2-4142211122-2-2220000002-1-1-2-1-111000000000000000000-333-300000000000000000000
χ5744-4-444004-44-4-4-4040004-4-400000022−2222−22000000000000000022−2222−2200000000000000000000000000000000
χ5844-4-444004-44-4-4-4040004-4-4000000−2222−22220000000000000000−2222−222200000000000000000000000000000000
χ5944-4-4-2400-2-4422-40-20−2i32i3-22200000022−2222−22000−2i32i300000000000−22−22i6−i6i6−i60000000000000000000000000000
χ6044-4-4-2400-2-4422-40-20−2i32i3-222000000−2222−2222000−2i32i3000000000002−22−2−i6i6−i6i60000000000000000000000000000
χ6144-4-4-2400-2-4422-40-202i3−2i3-22200000022−2222−220002i3−2i300000000000−22−22−i6i6−i6i60000000000000000000000000000
χ6244-4-4-2400-2-4422-40-202i3−2i3-222000000−2222−22220002i3−2i3000000000002−22−2i6−i6i6−i60000000000000000000000000000
χ634-44-44400-44-44-4-404000-44-4000000−2i22i22i2−2i20000000000000000−2i22i22i2−2i200000000000000000000000000000000
χ644-44-44400-44-44-4-404000-44-40000002i2−2i2−2i22i200000000000000002i2−2i2−2i22i200000000000000000000000000000000
χ654-44-4-240024-4-22-40-20002-220023−2300−2i22i22i2−2i20000000023−23000000i2−i2−i2i2i6−i6−i6i60000000000000000000000000000
χ664-44-4-240024-4-22-40-20002-220023−23002i2−2i2−2i22i20000000023−23000000−i2i2i2−i2−i6i6i6−i60000000000000000000000000000
χ674-44-4-240024-4-22-40-20002-2200−232300−2i22i22i2−2i200000000−2323000000i2−i2−i2i2−i6i6i6−i60000000000000000000000000000
χ684-44-4-240024-4-22-40-20002-2200−2323002i2−2i2−2i22i200000000−2323000000−i2i2i2−i2i6−i6−i6i60000000000000000000000000000
χ694-4-444-24-4-422-44-20-200022-24-200-420000000000-2200004i−4i00000000000000000000000000−2i2i0000000000
χ704-4-444-24-4-422-44-20-200022-24-200-420000000000-220000−4i4i000000000000000000000000002i−2i0000000000
χ714-4-444-2-44-422-44-20-200022-2-42004-200000000002-20000004-400000000000000000000000000-2200000000
χ724-4-444-2-44-422-44-20-200022-2-42004-200000000002-2000000-44000000000000000000000000002-200000000
χ734-4-44-244-42-4-42-240-200022-2-24002-44i4i−4i−4i000000-2200000000−2i−2i2i2i00000000000000000000000000000000
χ744-4-44-244-42-4-42-240-200022-2-24002-4−4i−4i4i4i000000-22000000002i2i−2i−2i00000000000000000000000000000000
χ754-4-44-24-442-4-42-240-200022-22-400-2400000000002-2004-400000000-2-2220000000000000000000000000000
χ764-4-44-24-442-4-42-240-200022-22-400-2400000000002-200-440000000022-2-20000000000000000000000000000
χ7788-8-88-40084-4-8-840-4000-44400000000000000000000000000000000000000000000000000000000000000
χ7888-8-8-4-400-44-4444020−4i34i32-2-200000000000002i3−2i300000000000000000000000000000000000000000000000
χ7988-8-8-4-400-44-44440204i3−4i32-2-20000000000000−2i32i300000000000000000000000000000000000000000000000
χ808-88-88-400-8-448-840-40004-4400000000000000000000000000000000000000000000000000000000000000
χ818-88-8-4-4004-44-44402000-22-20043−4300000000000000−2323000000000000000000000000000000000000000000
χ828-88-8-4-4004-44-44402000-22-200−43430000000000000023−23000000000000000000000000000000000000000000
χ838-8-88-4-48-84444-4-402000-2-22-4-4004400000000002-200000000000000000000000000000000000000000000
χ848-8-88-4-4-884444-4-402000-2-224400-4-40000000000-2200000000000000000000000000000000000000000000

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