Fi
22
Subgroups corresponding to Multiplicity Free Actions
Fi
22
Fi
22
.2
2.U
6
(2)
2.U
6
(2) < 2.U
6
(2).2
2.U
6
(2).2
O
7
(3)
O
7
(3)
O
8
+
(2).3.2 × 2
O
8
+
(2).3.2
O
8
+
(2).3.2 < O
8
+
(2).3.2 × 2
O
8
+
(2).3 × 2 < O
8
+
(2).3.2 × 2
O
8
+
(2).S
3
< O
8
+
(2).3.2 × 2
O
8
+
(2).2 × 2 < O
8
+
(2).3.2 × 2
O
8
+
(2).3 < O
8
+
(2).3.2
O
8
+
(2).3 < O
8
+
(2).3.2 × 2
O
8
+
(2).2 < O
8
+
(2).3.2
O
8
+
(2).2 < O
8
+
(2).3.2 × 2 (Rank 13)
O
8
+
(2).2 < O
8
+
(2).3.2 × 2 (Rank 14)
2
10
:M
22
.2
2
10
:M
22
2
10
:M
22
< 2
10
:M
22
.2
2
6
:S
6
(2)
2
6
:S
6
(2) < 2
7
:S
6
(2)
2
F
4
(2)'
2
F
4
(2)'.2