Subgroups — C₁₀₉×#34296 #42152290

Order 27904.

2612 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#551×C₁₀₉	C₂	1	1	yes	maximal, characteristic
2	C₁₀₉×#2373	C₂	1	1	yes	maximal, characteristic, complemented
3	C₁₀₉×#2373	C₂	1	1	yes	maximal, characteristic, complemented
4	C₁₀₉×#2368	C₂	1	1	yes	maximal, characteristic, complemented
5	C₁₀₉×#2367	C₂	1	1	yes	maximal, characteristic, complemented
6	C₁₀₉×#2360	C₂	1	1	yes	maximal, characteristic, complemented
7	C₁₀₉×#2359	C₂	1	1	yes	maximal, characteristic, complemented
8	C₁₀₉×#2359	C₂	1	1	yes	maximal, characteristic, complemented
9	C₁₀₉×#2359	C₂	1	1	yes	maximal, characteristic, complemented
10	C₁₀₉×#2358	C₂	1	1	yes	maximal, characteristic
11	C₁₀₉×#2352	C₂	1	1	yes	maximal, characteristic, complemented
12	C₁₀₉×#2349	C₂	1	1	yes	maximal, characteristic, complemented
13	C₁₀₉×#2343	C₂	1	1	yes	maximal, characteristic, complemented
14	C₁₀₉×#2343	C₂	1	1	yes	maximal, characteristic, complemented
15	C₁₀₉×#2342	C₂	1	1	yes	maximal, characteristic, complemented
16	C₁₀₉×#2342	C₂	1	1	yes	maximal, characteristic, complemented
17	C₁₀₉×#2337	C₂	1	1	yes	maximal, characteristic, complemented
18	C₁₀₉×#2335	C₂	1	1	yes	maximal, characteristic, complemented
19	C₁₀₉×#2334	C₂	1	1	yes	maximal, characteristic, complemented
20	C₁₀₉×#2334	C₂	1	1	yes	maximal, characteristic, complemented
21	C₁₀₉×#2329	C₂	1	1	yes	maximal, characteristic, complemented
22	C₁₀₉×#2322	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×C₂²⋊Q₈×C₁₀₉	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#123×C₁₀₉	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×#120×C₁₀₉	C₂	1	1	yes	maximal, characteristic
26	C₁₀₉×#2296	C₂	1	1	yes	maximal, characteristic, complemented
27	C₁₀₉×#2290	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#385×C₁₀₉	C₂	1	1	yes	maximal, characteristic, complemented
29	C₁₀₉×#2275	C₂	1	1	yes	maximal, characteristic, complemented
30	C₁₀₉×#2274	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×C₄×C₂²⋊C₄×C₁₀₉	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂⁴×C₄×C₁₀₉	C₂²	1	1	yes	characteristic
33	#551×C₁₀₉	C₄	1	16	yes	complemented
34	C₂×#126×C₁₀₉	C₂²	1	1	yes	characteristic
35	C₂×#126×C₁₀₉	C₂²	1	1	yes	characteristic
36	C₂×#124×C₁₀₉	C₂²	1	1	yes	characteristic
37	C₂×#123×C₁₀₉	C₂²	1	1	yes	characteristic
38	C₂×#123×C₁₀₉	C₂²	1	1	yes	characteristic
39	C₂×#123×C₁₀₉	C₂²	1	1	yes	characteristic
40	C₂×C₂²⋊Q₈×C₁₀₉	C₂²	1	1	yes	characteristic
41	C₂×C₂²⋊Q₈×C₁₀₉	C₂²	1	1	yes	characteristic
42	C₂×#120×C₁₀₉	C₂²	1	1	yes	characteristic
43	C₂×C₄×Q₈×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₄×D₄×C₁₀₉	C₂²	1	1	yes	characteristic
45	C₂×C₄×D₄×C₁₀₉	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₄×C₁₀₉	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₄×C₁₀₉	C₂²	1	1	yes	characteristic
48	C₂×C₄×D₄×C₁₀₉	C₂²	1	1	yes	characteristic
49	C₂×C₄×D₄×C₁₀₉	C₂²	1	1	yes	characteristic
50	C₂×C₄×D₄×C₁₀₉	C₂²	1	1	yes	characteristic
51	C₂×#117×C₁₀₉	C₂²	1	1	yes	characteristic
52	C₂×#117×C₁₀₉	C₂²	1	1	yes	characteristic
53	C₂×#117×C₁₀₉	C₂²	1	1	yes	characteristic
54	C₂×#117×C₁₀₉	C₂²	1	1	yes	characteristic
55	C₂×#117×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
56	C₂²×C₄⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
57	C₂²×C₄⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
58	C₂²×C₂²⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
59	C₂²×C₂²⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
60	C₂²×C₂²⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
61	C₂²×C₂²⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
62	C₂²×C₄²×C₁₀₉	C₂²	1	1	yes	characteristic
63	C₂²×C₄²×C₁₀₉	C₂²	1	1	yes	characteristic
64	#391×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
65	#391×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
66	#391×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
67	#390×C₁₀₉	C₂²	1	1	yes	characteristic
68	#389×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
69	#389×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
70	#389×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
71	#389×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
72	#389×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
73	#389×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
74	#389×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
75	#389×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
76	#388×C₁₀₉	C₂²	1	1	yes	characteristic
77	#388×C₁₀₉	C₂²	1	1	yes	characteristic
78	#388×C₁₀₉	C₂²	1	1	yes	characteristic
79	#388×C₁₀₉	C₂²	1	1	yes	characteristic
80	#388×C₁₀₉	C₂²	1	1	yes	characteristic
81	#388×C₁₀₉	C₂²	1	1	yes	characteristic
82	#388×C₁₀₉	C₂²	1	1	yes	characteristic
83	#388×C₁₀₉	C₂²	1	1	yes	characteristic
84	#388×C₁₀₉	C₂²	1	1	yes	characteristic
85	#388×C₁₀₉	C₂²	1	1	yes	characteristic
86	#388×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
87	#388×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
88	#388×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
89	#388×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
90	#388×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
91	#388×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
92	#387×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
93	#387×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
94	#387×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
95	#387×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
96	#387×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
97	#387×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
98	#387×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
99	#387×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
100	#387×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
101	#387×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
102	#387×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
103	#387×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
104	#387×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
105	#387×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
106	#387×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
107	#387×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
108	#386×C₁₀₉	C₂²	1	1	yes	characteristic
109	#386×C₁₀₉	C₂²	1	1	yes	characteristic
110	#386×C₁₀₉	C₂²	1	1	yes	characteristic
111	#386×C₁₀₉	C₂²	1	1	yes	characteristic
112	#386×C₁₀₉	C₂²	1	1	yes	characteristic
113	#386×C₁₀₉	C₂²	1	1	yes	characteristic
114	#385×C₁₀₉	C₂²	1	1	yes	characteristic
115	#385×C₁₀₉	C₂²	1	1	yes	characteristic
116	#385×C₁₀₉	C₂²	1	1	yes	characteristic
117	#385×C₁₀₉	C₂²	1	1	yes	characteristic
118	#385×C₁₀₉	C₂²	1	1	yes	characteristic
119	#385×C₁₀₉	C₂²	1	1	yes	characteristic
120	#385×C₁₀₉	C₂²	1	1	yes	characteristic
121	#385×C₁₀₉	C₂²	1	1	yes	characteristic
122	#385×C₁₀₉	C₂²	1	1	yes	characteristic
123	#385×C₁₀₉	C₂²	1	1	yes	characteristic
124	#385×C₁₀₉	C₂²	1	1	yes	characteristic
125	#385×C₁₀₉	C₂²	1	1	yes	characteristic
126	#385×C₁₀₉	C₂²	1	1	yes	characteristic
127	#385×C₁₀₉	C₂²	1	1	yes	characteristic
128	#385×C₁₀₉	C₂²	1	1	yes	characteristic
129	#385×C₁₀₉	C₂²	1	1	yes	characteristic
130	#385×C₁₀₉	C₂²	1	1	yes	characteristic
131	#385×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
132	#385×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
133	#385×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
134	#383×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
135	#382×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
136	#382×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
137	#381×C₁₀₉	C₂²	1	1	yes	characteristic
138	#381×C₁₀₉	C₂²	1	1	yes	characteristic
139	#380×C₁₀₉	C₂²	1	1	yes	characteristic
140	#380×C₁₀₉	C₂²	1	1	yes	characteristic
141	#380×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
142	#379×C₁₀₉	C₂²	1	1	yes	characteristic
143	C₄×C₄⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
144	C₄×C₄⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
145	C₄×C₄⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
146	C₄×C₄⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
147	C₄×C₄⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
148	C₄×C₄⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
149	C₄×C₄⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
150	C₄×C₄⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
151	C₄×C₄⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
152	C₄×C₄⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
153	C₄×C₄⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
154	C₄×C₄⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
155	C₄×C₄⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
156	C₄×C₄⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
157	C₄×C₄⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
158	C₄×C₂²⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
159	C₄×C₂²⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
160	C₄×C₂²⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
161	C₄×C₂²⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
162	C₄×C₂²⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
163	C₄×C₂²⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
164	C₄×C₂²⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
165	C₄×C₂²⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
166	C₄×C₂²⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
167	C₄×C₂²⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
168	C₄×C₂²⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
169	C₄×C₂²⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
170	C₄×C₂²⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
171	C₄×C₂²⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
172	C₄×C₂²⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
173	C₄×C₂²⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
174	C₄×C₂²⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
175	C₄×C₂²⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
176	C₄×C₂²⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic
177	C₄×C₂²⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
178	C₄×C₂²⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
179	C₄×C₂²⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
180	C₄×C₂²⋊C₄×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
181	#376×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
182	#376×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
183	C₂×#95×C₁₀₉	C₂²	1	1	yes	characteristic
184	C₂×#95×C₁₀₉	C₂²	1	1	yes	characteristic
185	C₂×#95×C₁₀₉	C₂²	1	1	yes	characteristic
186	C₂×#95×C₁₀₉	C₂²	1	1	yes	characteristic
187	C₂×#95×C₁₀₉	C₂²	1	1	yes	characteristic, complemented
188	C₂⁵×C₁₀₉	C₂³	1	1	yes	characteristic
189	C₂²×Q₈×C₁₀₉	C₂³	1	1	yes	characteristic
190	C₂²×D₄×C₁₀₉	C₂³	1	1	yes	characteristic
191	C₂²×D₄×C₁₀₉	C₂³	1	1	yes	characteristic
192	C₂²×D₄×C₁₀₉	C₂³	1	1	yes	characteristic
193	C₂³×C₄×C₁₀₉	—	2	4	no	—
194	C₂³×C₄×C₁₀₉	—	4	2	no	—
195	C₂³×C₄×C₁₀₉	—	4	2	no	—
196	C₂³×C₄×C₁₀₉	C₂³	1	1	yes	characteristic
197	C₂³×C₄×C₁₀₉	C₂³	1	1	yes	characteristic
198	C₂³×C₄×C₁₀₉	C₂³	1	1	yes	characteristic
199	C₂³×C₄×C₁₀₉	C₂³	1	1	yes	characteristic
200	C₂³×C₄×C₁₀₉	C₂³	1	1	yes	characteristic
201	C₂³×C₄×C₁₀₉	C₂³	1	1	yes	characteristic
202	C₂³×C₄×C₁₀₉	C₂³	1	1	yes	characteristic
203	C₂³×C₄×C₁₀₉	C₂³	1	1	yes	characteristic
204	C₂³×C₄×C₁₀₉	C₂³	1	1	yes	characteristic
205	C₂³×C₄×C₁₀₉	C₂³	1	1	yes	characteristic
206	C₂³×C₄×C₁₀₉	C₂³	1	1	yes	characteristic
207	C₂³×C₄×C₁₀₉	C₂³	1	1	yes	characteristic
208	C₂³×C₄×C₁₀₉	C₂³	1	1	yes	characteristic
209	C₂³×C₄×C₁₀₉	C₂³	1	1	yes	characteristic
210	C₂³×C₄×C₁₀₉	C₂³	1	1	yes	characteristic
211	C₂³×C₄×C₁₀₉	C₂³	1	1	yes	characteristic
212	C₂³×C₄×C₁₀₉	C₂³	1	1	yes	characteristic
213	#126×C₁₀₉	C₂×C₄	1	8	yes	complemented
214	#126×C₁₀₉	C₂×C₄	1	8	yes	complemented
215	#124×C₁₀₉	C₂×C₄	1	8	yes	complemented
216	#123×C₁₀₉	C₂×C₄	1	8	yes	complemented
217	#123×C₁₀₉	C₂×C₄	1	8	yes	complemented
218	#123×C₁₀₉	C₂×C₄	1	8	yes	complemented
219	C₂²⋊Q₈×C₁₀₉	C₂×C₄	1	8	yes	complemented
220	C₂²⋊Q₈×C₁₀₉	C₂×C₄	1	8	yes	complemented
221	#120×C₁₀₉	C₂×C₄	1	8	yes	—
222	C₄×Q₈×C₁₀₉	—	4	2	no	—
223	C₄×D₄×C₁₀₉	—	2	4	no	—
224	C₄×D₄×C₁₀₉	—	2	4	no	—
225	C₄×D₄×C₁₀₉	—	4	2	no	—
226	C₄×D₄×C₁₀₉	—	4	2	no	—
227	C₄×D₄×C₁₀₉	—	4	2	no	—
228	C₄×D₄×C₁₀₉	C₂×C₄	1	8	yes	complemented
229	C₄×D₄×C₁₀₉	C₂×C₄	1	8	yes	complemented
230	#117×C₁₀₉	—	2	4	no	—
231	#117×C₁₀₉	—	4	2	no	—
232	#117×C₁₀₉	—	4	2	no	—
233	#117×C₁₀₉	C₂×C₄	1	8	yes	complemented
234	#117×C₁₀₉	C₂×C₄	1	8	yes	complemented
235	C₂×C₄⋊C₄×C₁₀₉	—	2	4	no	—
236	C₂×C₄⋊C₄×C₁₀₉	—	4	2	no	—
237	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
239	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
240	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
242	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
243	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
244	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
245	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
246	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
247	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
248	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
249	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
250	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
251	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
252	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
253	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
254	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
267	C₂×C₂²⋊C₄×C₁₀₉	—	2	4	no	—
268	C₂×C₂²⋊C₄×C₁₀₉	—	4	2	no	—
269	C₂×C₂²⋊C₄×C₁₀₉	C₂×C₄	1	8	yes	complemented
270	C₂×C₂²⋊C₄×C₁₀₉	C₂×C₄	1	8	yes	complemented
271	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
272	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
273	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
274	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
275	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
276	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
298	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
300	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
301	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
302	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
303	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
304	C₂×C₂²⋊C₄×C₁₀₉	C₂³	1	1	yes	characteristic
305	C₂×C₄²×C₁₀₉	—	4	2	no	—
306	C₂×C₄²×C₁₀₉	—	4	2	no	—
307	C₂×C₄²×C₁₀₉	C₂³	1	1	yes	characteristic
308	C₂×C₄²×C₁₀₉	C₂³	1	1	yes	characteristic
309	C₂×C₄²×C₁₀₉	C₂³	1	1	yes	characteristic
310	C₂×C₄²×C₁₀₉	C₂³	1	1	yes	characteristic
311	C₂×C₄²×C₁₀₉	C₂³	1	1	yes	characteristic
312	C₂×C₄²×C₁₀₉	C₂³	1	1	yes	characteristic
313	C₂×C₄²×C₁₀₉	C₂³	1	1	yes	characteristic
314	C₂×C₄²×C₁₀₉	C₂³	1	1	yes	characteristic
315	C₂×C₄²×C₁₀₉	C₂³	1	1	yes	characteristic
316	C₂×C₄²×C₁₀₉	C₂³	1	1	yes	characteristic
317	C₂×C₄²×C₁₀₉	C₂³	1	1	yes	characteristic
318	C₂×C₄²×C₁₀₉	C₂³	1	1	yes	characteristic
319	C₂×C₄²×C₁₀₉	C₂³	1	1	yes	characteristic
320	C₂×C₄²×C₁₀₉	C₂³	1	1	yes	characteristic
321	C₂×C₄²×C₁₀₉	C₂³	1	1	yes	characteristic
322	C₂×C₄²×C₁₀₉	C₂³	1	1	yes	characteristic
323	C₂×C₄²×C₁₀₉	C₂³	1	1	yes	characteristic
324	C₂×C₄²×C₁₀₉	C₂³	1	1	yes	characteristic
325	C₂×C₄²×C₁₀₉	C₂³	1	1	yes	characteristic
326	C₂×C₄²×C₁₀₉	C₂³	1	1	yes	characteristic
327	C₂×C₄²×C₁₀₉	C₂³	1	1	yes	characteristic
328	C₂×C₄²×C₁₀₉	C₂³	1	1	yes	characteristic
329	C₂×C₄²×C₁₀₉	C₂³	1	1	yes	characteristic
330	C₂×C₄²×C₁₀₉	C₂³	1	1	yes	characteristic
331	C₂×C₄²×C₁₀₉	C₂³	1	1	yes	characteristic
332	#95×C₁₀₉	C₂³	1	1	yes	characteristic
333	#95×C₁₀₉	C₂³	1	1	yes	characteristic
334	#95×C₁₀₉	C₂³	1	1	yes	characteristic
335	#95×C₁₀₉	C₂³	1	1	yes	characteristic
336	#95×C₁₀₉	C₂³	1	1	yes	characteristic
337	#95×C₁₀₉	C₂³	1	1	yes	characteristic
338	#95×C₁₀₉	C₂³	1	1	yes	characteristic
339	#95×C₁₀₉	C₂³	1	1	yes	characteristic
340	#95×C₁₀₉	C₂³	1	1	yes	characteristic
341	#95×C₁₀₉	C₂³	1	1	yes	characteristic
342	#95×C₁₀₉	C₂³	1	1	yes	characteristic
343	#95×C₁₀₉	C₂³	1	1	yes	characteristic
344	#95×C₁₀₉	C₂³	1	1	yes	characteristic
345	#95×C₁₀₉	C₂³	1	1	yes	characteristic
346	#95×C₁₀₉	C₂³	1	1	yes	characteristic
347	#95×C₁₀₉	C₂³	1	1	yes	characteristic
348	#95×C₁₀₉	C₂³	1	1	yes	characteristic
349	#95×C₁₀₉	C₂³	1	1	yes	characteristic
350	#95×C₁₀₉	C₂³	1	1	yes	characteristic
351	#95×C₁₀₉	C₂³	1	1	yes	characteristic
352	#95×C₁₀₉	C₂³	1	1	yes	characteristic
353	#95×C₁₀₉	C₂³	1	1	yes	characteristic
354	#95×C₁₀₉	C₂³	1	1	yes	characteristic
355	#95×C₁₀₉	C₂³	1	1	yes	characteristic
356	#95×C₁₀₉	C₂³	1	1	yes	characteristic
357	#95×C₁₀₉	C₂³	1	1	yes	characteristic
358	#95×C₁₀₉	C₂³	1	1	yes	characteristic
359	#95×C₁₀₉	C₂³	1	1	yes	characteristic
360	#95×C₁₀₉	C₂³	1	1	yes	characteristic
361	#95×C₁₀₉	C₂³	1	1	yes	characteristic
362	#95×C₁₀₉	C₂³	1	1	yes	characteristic
363	#95×C₁₀₉	C₂³	1	1	yes	characteristic
364	#95×C₁₀₉	C₂³	1	1	yes	characteristic
365	#95×C₁₀₉	C₂³	1	1	yes	characteristic
366	#95×C₁₀₉	C₂³	1	1	yes	characteristic
367	#95×C₁₀₉	C₂³	1	1	yes	characteristic
368	#95×C₁₀₉	C₂³	1	1	yes	characteristic
369	#95×C₁₀₉	C₂³	1	1	yes	characteristic
370	#95×C₁₀₉	C₂³	1	1	yes	characteristic
371	#95×C₁₀₉	C₂³	1	1	yes	characteristic
372	#95×C₁₀₉	C₂³	1	1	yes	characteristic
373	#95×C₁₀₉	C₂³	1	1	yes	characteristic
374	#95×C₁₀₉	C₂³	1	1	yes	characteristic
375	#95×C₁₀₉	C₂³	1	1	yes	characteristic
376	C₂⁴×C₁₀₉	—	2	2	no	—
377	C₂⁴×C₁₀₉	—	2	2	no	—
378	C₂⁴×C₁₀₉	—	2	2	no	—
379	C₂⁴×C₁₀₉	—	2	2	no	—
380	C₂⁴×C₁₀₉	—	4	1	no	—
381	C₂⁴×C₁₀₉	—	4	1	no	—
382	C₂⁴×C₁₀₉	C₂²×C₄	1	4	yes	—
383	C₂⁴×C₁₀₉	C₂⁴	1	1	yes	characteristic
384	C₂⁴×C₁₀₉	C₂⁴	1	1	yes	characteristic
385	C₂⁴×C₁₀₉	C₂⁴	1	1	yes	characteristic
386	C₂⁴×C₁₀₉	C₂⁴	1	1	yes	characteristic
387	C₂×Q₈×C₁₀₉	—	4	1	no	—
388	C₂×Q₈×C₁₀₉	—	4	1	no	—
389	C₂×Q₈×C₁₀₉	C₂²×C₄	1	4	yes	complemented
390	C₂×D₄×C₁₀₉	—	2	2	no	—
391	C₂×D₄×C₁₀₉	—	2	2	no	—
392	C₂×D₄×C₁₀₉	—	2	2	no	—
393	C₂×D₄×C₁₀₉	—	2	2	no	—
394	C₂×D₄×C₁₀₉	—	4	1	no	—
395	C₂×D₄×C₁₀₉	—	4	1	no	—
396	C₂×D₄×C₁₀₉	C₂²×C₄	1	4	yes	—
397	C₂×D₄×C₁₀₉	C₂²×C₄	1	4	yes	—
398	C₂×D₄×C₁₀₉	C₂²×C₄	1	4	yes	—
399	C₂²×C₄×C₁₀₉	—	2	2	no	—
400	C₂²×C₄×C₁₀₉	—	2	2	no	—
401	C₂²×C₄×C₁₀₉	—	2	2	no	—
402	C₂²×C₄×C₁₀₉	—	2	2	no	—
403	C₂²×C₄×C₁₀₉	—	2	2	no	—
404	C₂²×C₄×C₁₀₉	—	2	2	no	—
405	C₂²×C₄×C₁₀₉	—	2	2	no	—
406	C₂²×C₄×C₁₀₉	—	2	2	no	—
407	C₂²×C₄×C₁₀₉	—	2	2	no	—
408	C₂²×C₄×C₁₀₉	—	2	2	no	—
409	C₂²×C₄×C₁₀₉	—	2	2	no	—
410	C₂²×C₄×C₁₀₉	—	2	2	no	—
411	C₂²×C₄×C₁₀₉	—	2	2	no	—
412	C₂²×C₄×C₁₀₉	—	2	2	no	—
413	C₂²×C₄×C₁₀₉	—	2	2	no	—
414	C₂²×C₄×C₁₀₉	—	2	2	no	—
415	C₂²×C₄×C₁₀₉	—	2	2	no	—
416	C₂²×C₄×C₁₀₉	—	2	2	no	—
417	C₂²×C₄×C₁₀₉	—	2	2	no	—
418	C₂²×C₄×C₁₀₉	—	2	2	no	—
419	C₂²×C₄×C₁₀₉	—	2	2	no	—
420	C₂²×C₄×C₁₀₉	—	2	2	no	—
421	C₂²×C₄×C₁₀₉	—	4	1	no	—
422	C₂²×C₄×C₁₀₉	—	4	1	no	—
423	C₂²×C₄×C₁₀₉	—	4	1	no	—
424	C₂²×C₄×C₁₀₉	—	4	1	no	—
425	C₂²×C₄×C₁₀₉	—	4	1	no	—
426	C₂²×C₄×C₁₀₉	—	4	1	no	—
427	C₂²×C₄×C₁₀₉	—	4	1	no	—
428	C₂²×C₄×C₁₀₉	—	4	1	no	—
429	C₂²×C₄×C₁₀₉	—	4	1	no	—
430	C₂²×C₄×C₁₀₉	—	4	1	no	—
431	C₂²×C₄×C₁₀₉	—	4	1	no	—
432	C₂²×C₄×C₁₀₉	—	4	1	no	—
433	C₂²×C₄×C₁₀₉	—	4	1	no	—
434	C₂²×C₄×C₁₀₉	—	4	1	no	—
435	C₂²×C₄×C₁₀₉	—	4	1	no	—
436	C₂²×C₄×C₁₀₉	—	4	1	no	—
437	C₂²×C₄×C₁₀₉	—	4	1	no	—
438	C₂²×C₄×C₁₀₉	—	4	1	no	—
439	C₂²×C₄×C₁₀₉	—	4	1	no	—
440	C₂²×C₄×C₁₀₉	—	4	1	no	—
441	C₂²×C₄×C₁₀₉	—	4	1	no	—
442	C₂²×C₄×C₁₀₉	—	4	1	no	—
443	C₂²×C₄×C₁₀₉	—	4	1	no	—
444	C₂²×C₄×C₁₀₉	—	4	16	no	—
445	C₂²×C₄×C₁₀₉	C₂²×C₄	1	4	yes	—
446	C₂²×C₄×C₁₀₉	C₂²×C₄	1	4	yes	—
447	C₂²×C₄×C₁₀₉	C₂²×C₄	1	4	yes	—
448	C₂²×C₄×C₁₀₉	C₂²×C₄	1	4	yes	—
449	C₂²×C₄×C₁₀₉	C₂²×C₄	1	4	yes	complemented
450	C₂²×C₄×C₁₀₉	#41	1	4	yes	—
451	C₂²×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
452	C₂²×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
453	C₂²×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
457	C₂²×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
458	C₂²×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
459	C₂²×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
460	C₂²×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
461	C₂²×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
462	C₂²×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
463	C₂²×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
464	C₂²×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
465	C₂²×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
467	C₂²×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
468	C₂²×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
469	C₂²×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
470	C₂²×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
471	C₂²×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
472	C₂²×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
473	C₂²×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
474	C₂²×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
475	C₂²×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
476	C₂²×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
477	C₂²×C₄×C₁₀₉	C₂⁴	1	1	yes	characteristic
478	C₄⋊C₄×C₁₀₉	—	2	2	no	—
479	C₄⋊C₄×C₁₀₉	—	2	2	no	—
480	C₄⋊C₄×C₁₀₉	—	2	2	no	—
481	C₄⋊C₄×C₁₀₉	—	2	2	no	—
482	C₄⋊C₄×C₁₀₉	—	2	2	no	—
483	C₄⋊C₄×C₁₀₉	—	2	2	no	—
484	C₄⋊C₄×C₁₀₉	—	2	2	no	—
485	C₄⋊C₄×C₁₀₉	—	2	2	no	—
486	C₄⋊C₄×C₁₀₉	—	2	2	no	—
487	C₄⋊C₄×C₁₀₉	—	2	2	no	—
488	C₄⋊C₄×C₁₀₉	—	2	2	no	—
489	C₄⋊C₄×C₁₀₉	—	4	1	no	—
490	C₄⋊C₄×C₁₀₉	—	4	1	no	—
491	C₄⋊C₄×C₁₀₉	—	4	1	no	—
492	C₄⋊C₄×C₁₀₉	—	4	1	no	—
493	C₄⋊C₄×C₁₀₉	—	4	1	no	—
494	C₄⋊C₄×C₁₀₉	—	4	1	no	—
495	C₄⋊C₄×C₁₀₉	—	4	1	no	—
496	C₄⋊C₄×C₁₀₉	—	4	1	no	—
497	C₄⋊C₄×C₁₀₉	—	4	1	no	—
498	C₄⋊C₄×C₁₀₉	—	4	1	no	—
499	C₄⋊C₄×C₁₀₉	—	4	1	no	—
500	C₄⋊C₄×C₁₀₉	C₂²×C₄	1	4	yes	complemented
501	C₄⋊C₄×C₁₀₉	C₂²×C₄	1	4	yes	complemented
502	C₄⋊C₄×C₁₀₉	C₂²×C₄	1	4	yes	complemented
503	C₄⋊C₄×C₁₀₉	C₂²×C₄	1	4	yes	complemented
504	C₄⋊C₄×C₁₀₉	C₂²×C₄	1	4	yes	complemented
505	C₄⋊C₄×C₁₀₉	C₂²×C₄	1	4	yes	complemented
506	C₄⋊C₄×C₁₀₉	C₂²×C₄	1	4	yes	complemented
507	C₄⋊C₄×C₁₀₉	C₂²×C₄	1	4	yes	complemented
508	C₂²⋊C₄×C₁₀₉	—	2	2	no	—
509	C₂²⋊C₄×C₁₀₉	—	2	2	no	—
510	C₂²⋊C₄×C₁₀₉	—	2	2	no	—
511	C₂²⋊C₄×C₁₀₉	—	2	2	no	—
512	C₂²⋊C₄×C₁₀₉	—	2	2	no	—
513	C₂²⋊C₄×C₁₀₉	—	2	2	no	—
514	C₂²⋊C₄×C₁₀₉	—	2	2	no	—
515	C₂²⋊C₄×C₁₀₉	—	2	2	no	—
516	C₂²⋊C₄×C₁₀₉	—	2	2	no	—
517	C₂²⋊C₄×C₁₀₉	—	2	2	no	—
518	C₂²⋊C₄×C₁₀₉	—	2	2	no	—
519	C₂²⋊C₄×C₁₀₉	—	2	2	no	—
520	C₂²⋊C₄×C₁₀₉	—	4	1	no	—
521	C₂²⋊C₄×C₁₀₉	—	4	1	no	—
522	C₂²⋊C₄×C₁₀₉	—	4	1	no	—
523	C₂²⋊C₄×C₁₀₉	—	4	1	no	—
524	C₂²⋊C₄×C₁₀₉	—	4	1	no	—
525	C₂²⋊C₄×C₁₀₉	—	4	1	no	—
526	C₂²⋊C₄×C₁₀₉	—	4	1	no	—
527	C₂²⋊C₄×C₁₀₉	C₂²×C₄	1	4	yes	—
528	C₂²⋊C₄×C₁₀₉	C₂²×C₄	1	4	yes	—
529	C₂²⋊C₄×C₁₀₉	C₂²×C₄	1	4	yes	—
530	C₂²⋊C₄×C₁₀₉	C₂²×C₄	1	4	yes	—
531	C₂²⋊C₄×C₁₀₉	C₂²×C₄	1	4	yes	—
532	C₂²⋊C₄×C₁₀₉	C₂²×C₄	1	4	yes	—
533	C₂²⋊C₄×C₁₀₉	C₂²×C₄	1	4	yes	—
534	C₂²⋊C₄×C₁₀₉	C₂²×C₄	1	4	yes	—
535	C₂²⋊C₄×C₁₀₉	C₂²×C₄	1	4	yes	—
536	C₂²⋊C₄×C₁₀₉	C₂²×C₄	1	4	yes	—
537	C₂²⋊C₄×C₁₀₉	C₂²×C₄	1	4	yes	—
538	C₂²⋊C₄×C₁₀₉	C₂²×C₄	1	4	yes	complemented
539	C₂²⋊C₄×C₁₀₉	C₂²×C₄	1	4	yes	complemented
540	C₂²⋊C₄×C₁₀₉	C₂²×C₄	1	4	yes	complemented
541	C₂²⋊C₄×C₁₀₉	#41	1	4	yes	—
542	C₄²×C₁₀₉	—	2	2	no	—
543	C₄²×C₁₀₉	—	2	2	no	—
544	C₄²×C₁₀₉	—	2	2	no	—
545	C₄²×C₁₀₉	—	2	2	no	—
546	C₄²×C₁₀₉	—	2	2	no	—
547	C₄²×C₁₀₉	—	2	2	no	—
548	C₄²×C₁₀₉	—	4	1	no	—
549	C₄²×C₁₀₉	—	4	1	no	—
550	C₄²×C₁₀₉	—	4	1	no	—
551	C₄²×C₁₀₉	—	4	1	no	—
552	C₄²×C₁₀₉	—	4	1	no	—
553	C₄²×C₁₀₉	—	4	1	no	—
554	C₄²×C₁₀₉	—	4	1	no	—
555	C₄²×C₁₀₉	—	4	1	no	—
556	C₄²×C₁₀₉	—	4	1	no	—
557	C₄²×C₁₀₉	—	4	1	no	—
558	C₄²×C₁₀₉	—	4	1	no	—
559	C₄²×C₁₀₉	—	4	1	no	—
560	C₄²×C₁₀₉	—	4	1	no	—
561	C₄²×C₁₀₉	—	4	1	no	—
562	C₄²×C₁₀₉	—	4	1	no	—
563	C₄²×C₁₀₉	—	4	1	no	—
564	C₄²×C₁₀₉	C₂²×C₄	1	4	yes	complemented
565	C₄²×C₁₀₉	C₂²×C₄	1	4	yes	complemented
566	C₄²×C₁₀₉	C₂²×C₄	1	4	yes	complemented
567	C₂³×C₁₀₉	—	2	1	no	—
568	C₂³×C₁₀₉	—	2	1	no	—
569	C₂³×C₁₀₉	—	2	1	no	—
570	C₂³×C₁₀₉	—	2	1	no	—
571	C₂³×C₁₀₉	—	2	1	no	—
572	C₂³×C₁₀₉	—	2	1	no	—
573	C₂³×C₁₀₉	—	2	1	no	—
574	C₂³×C₁₀₉	—	2	1	no	—
575	C₂³×C₁₀₉	—	2	8	no	—
576	C₂³×C₁₀₉	—	2	8	no	—
577	C₂³×C₁₀₉	—	2	1	no	—
578	C₂³×C₁₀₉	—	2	1	no	—
579	C₂³×C₁₀₉	—	2	1	no	—
580	C₂³×C₁₀₉	—	2	1	no	—
581	C₂³×C₁₀₉	—	2	1	no	—
582	C₂³×C₁₀₉	—	2	1	no	—
583	C₂³×C₁₀₉	—	2	1	no	—
584	C₂³×C₁₀₉	—	2	1	no	—
585	C₂³×C₁₀₉	—	2	1	no	—
586	C₂³×C₁₀₉	—	2	1	no	—
587	C₂³×C₁₀₉	—	2	1	no	—
588	C₂³×C₁₀₉	—	2	1	no	—
589	C₂³×C₁₀₉	—	4	4	no	—
590	C₂³×C₁₀₉	—	4	4	no	—
591	C₂³×C₁₀₉	—	4	4	no	—
592	C₂³×C₁₀₉	—	4	4	no	—
593	C₂³×C₁₀₉	—	4	4	no	—
594	C₂³×C₁₀₉	C₂³×C₄	1	2	yes	—
595	C₂³×C₁₀₉	C₂³×C₄	1	2	yes	—
596	C₂³×C₁₀₉	C₂³×C₄	1	2	yes	—
597	C₂³×C₁₀₉	C₂³×C₄	1	2	yes	—
598	C₂³×C₁₀₉	C₂×#41	1	2	yes	—
599	C₂³×C₁₀₉	C₂×#41	1	2	yes	—
600	C₂³×C₁₀₉	H(5,𝔽₂)	1	2	yes	—
601	C₂³×C₁₀₉	2₋¹⁺⁴	1	2	yes	—
602	C₂³×C₁₀₉	C₂⁵	1	1	yes	characteristic
603	Q₈×C₁₀₉	—	4	4	no	—
604	D₄×C₁₀₉	—	2	8	no	—
605	D₄×C₁₀₉	—	2	8	no	—
606	D₄×C₁₀₉	—	4	4	no	—
607	C₂×C₄×C₁₀₉	—	2	8	no	—
608	C₂×C₄×C₁₀₉	—	2	8	no	—
609	C₂×C₄×C₁₀₉	—	2	8	no	—
610	C₂×C₄×C₁₀₉	—	2	1	no	—
611	C₂×C₄×C₁₀₉	—	2	1	no	—
612	C₂×C₄×C₁₀₉	—	2	1	no	—
613	C₂×C₄×C₁₀₉	—	2	1	no	—
614	C₂×C₄×C₁₀₉	—	2	1	no	—
615	C₂×C₄×C₁₀₉	—	2	1	no	—
616	C₂×C₄×C₁₀₉	—	2	1	no	—
617	C₂×C₄×C₁₀₉	—	2	1	no	—
618	C₂×C₄×C₁₀₉	—	2	1	no	—
619	C₂×C₄×C₁₀₉	—	2	1	no	—
620	C₂×C₄×C₁₀₉	—	2	1	no	—
621	C₂×C₄×C₁₀₉	—	2	1	no	—
622	C₂×C₄×C₁₀₉	—	2	1	no	—
623	C₂×C₄×C₁₀₉	—	2	1	no	—
624	C₂×C₄×C₁₀₉	—	2	1	no	—
625	C₂×C₄×C₁₀₉	—	2	1	no	—
626	C₂×C₄×C₁₀₉	—	2	1	no	—
627	C₂×C₄×C₁₀₉	—	2	1	no	—
628	C₂×C₄×C₁₀₉	—	2	1	no	—
629	C₂×C₄×C₁₀₉	—	2	1	no	—
630	C₂×C₄×C₁₀₉	—	2	1	no	—
631	C₂×C₄×C₁₀₉	—	2	1	no	—
632	C₂×C₄×C₁₀₉	—	2	1	no	—
633	C₂×C₄×C₁₀₉	—	2	1	no	—
634	C₂×C₄×C₁₀₉	—	2	1	no	—
635	C₂×C₄×C₁₀₉	—	2	1	no	—
636	C₂×C₄×C₁₀₉	—	2	1	no	—
637	C₂×C₄×C₁₀₉	—	2	1	no	—
638	C₂×C₄×C₁₀₉	—	2	1	no	—
639	C₂×C₄×C₁₀₉	—	2	1	no	—
640	C₂×C₄×C₁₀₉	—	2	1	no	—
641	C₂×C₄×C₁₀₉	—	2	1	no	—
642	C₂×C₄×C₁₀₉	—	2	1	no	—
643	C₂×C₄×C₁₀₉	—	2	1	no	—
644	C₂×C₄×C₁₀₉	—	2	1	no	—
645	C₂×C₄×C₁₀₉	—	2	1	no	—
646	C₂×C₄×C₁₀₉	—	2	1	no	—
647	C₂×C₄×C₁₀₉	—	2	1	no	—
648	C₂×C₄×C₁₀₉	—	2	1	no	—
649	C₂×C₄×C₁₀₉	—	2	1	no	—
650	C₂×C₄×C₁₀₉	—	2	1	no	—
651	C₂×C₄×C₁₀₉	—	2	1	no	—
652	C₂×C₄×C₁₀₉	—	2	1	no	—
653	C₂×C₄×C₁₀₉	—	2	1	no	—
654	C₂×C₄×C₁₀₉	—	2	1	no	—
655	C₂×C₄×C₁₀₉	—	2	1	no	—
656	C₂×C₄×C₁₀₉	—	2	1	no	—
657	C₂×C₄×C₁₀₉	—	2	1	no	—
658	C₂×C₄×C₁₀₉	—	2	1	no	—
659	C₂×C₄×C₁₀₉	—	2	1	no	—
660	C₂×C₄×C₁₀₉	—	2	1	no	—
661	C₂×C₄×C₁₀₉	—	2	1	no	—
662	C₂×C₄×C₁₀₉	—	2	1	no	—
663	C₂×C₄×C₁₀₉	—	2	1	no	—
664	C₂×C₄×C₁₀₉	—	2	1	no	—
665	C₂×C₄×C₁₀₉	—	2	1	no	—
666	C₂×C₄×C₁₀₉	—	2	1	no	—
667	C₂×C₄×C₁₀₉	—	2	1	no	—
668	C₂×C₄×C₁₀₉	—	2	1	no	—
669	C₂×C₄×C₁₀₉	—	2	1	no	—
670	C₂×C₄×C₁₀₉	—	2	1	no	—
671	C₂×C₄×C₁₀₉	—	2	1	no	—
672	C₂×C₄×C₁₀₉	—	2	1	no	—
673	C₂×C₄×C₁₀₉	—	2	1	no	—
674	C₂×C₄×C₁₀₉	—	2	1	no	—
675	C₂×C₄×C₁₀₉	—	4	4	no	—
676	C₂×C₄×C₁₀₉	—	4	4	no	—
677	C₂×C₄×C₁₀₉	—	4	4	no	—
678	C₂×C₄×C₁₀₉	—	4	4	no	—
679	C₂×C₄×C₁₀₉	—	4	4	no	—
680	C₂×C₄×C₁₀₉	—	4	4	no	—
681	C₂×C₄×C₁₀₉	—	4	4	no	—
682	C₂×C₄×C₁₀₉	—	4	4	no	—
683	C₂×C₄×C₁₀₉	—	4	4	no	—
684	C₂×C₄×C₁₀₉	—	4	4	no	—
685	C₂×C₄×C₁₀₉	—	8	2	no	—
686	C₂×C₄×C₁₀₉	—	8	2	no	—
687	C₂×C₄×C₁₀₉	—	8	2	no	—
688	C₂×C₄×C₁₀₉	—	8	2	no	—
689	C₂×C₄×C₁₀₉	C₂³×C₄	1	2	yes	—
690	C₂×C₄×C₁₀₉	C₂³×C₄	1	2	yes	—
691	C₂×C₄×C₁₀₉	C₂³×C₄	1	2	yes	—
692	C₂×C₄×C₁₀₉	C₂³×C₄	1	2	yes	—
693	C₂×C₄×C₁₀₉	C₂³×C₄	1	2	yes	—
694	C₂×C₄×C₁₀₉	C₂³×C₄	1	2	yes	—
695	C₂×C₄×C₁₀₉	C₂³×C₄	1	2	yes	—
696	C₂×C₄×C₁₀₉	C₂³×C₄	1	2	yes	—
697	C₂×C₄×C₁₀₉	C₂³×C₄	1	2	yes	—
698	C₂×C₄×C₁₀₉	C₂³×C₄	1	2	yes	—
699	C₂×C₄×C₁₀₉	C₂³×C₄	1	2	yes	—
700	C₂×C₄×C₁₀₉	C₂×#41	1	2	yes	—
701	C₂×C₄×C₁₀₉	C₂×#41	1	2	yes	—
702	C₂×C₄×C₁₀₉	C₂×#41	1	2	yes	—
703	C₂×C₄×C₁₀₉	C₂×#41	1	2	yes	—
704	C₂×C₄×C₁₀₉	H(5,𝔽₂)	1	2	yes	—
705	C₂²×C₁₀₉	—	2	2	no	—
706	C₂²×C₁₀₉	—	2	2	no	—
707	C₂²×C₁₀₉	—	2	2	no	—
708	C₂²×C₁₀₉	—	2	2	no	—
709	C₂²×C₁₀₉	—	2	2	no	—
710	C₂²×C₁₀₉	—	2	2	no	—
711	C₂²×C₁₀₉	—	2	2	no	—
712	C₂²×C₁₀₉	—	2	2	no	—
713	C₂²×C₁₀₉	—	2	2	no	—
714	C₂²×C₁₀₉	—	2	2	no	—
715	C₂²×C₁₀₉	—	2	2	no	—
716	C₂²×C₁₀₉	—	2	2	no	—
717	C₂²×C₁₀₉	—	2	2	no	—
718	C₂²×C₁₀₉	—	2	2	no	—
719	C₂²×C₁₀₉	—	2	2	no	—
720	C₂²×C₁₀₉	—	2	2	no	—
721	C₂²×C₁₀₉	—	2	2	no	—
722	C₂²×C₁₀₉	—	2	2	no	—
723	C₂²×C₁₀₉	—	4	16	no	—
724	C₂²×C₁₀₉	—	4	1	no	—
725	C₂²×C₁₀₉	—	4	1	no	—
726	C₂²×C₁₀₉	—	4	1	no	—
727	C₂²×C₁₀₉	—	4	1	no	—
728	C₂²×C₁₀₉	—	4	1	no	—
729	C₂²×C₁₀₉	—	4	1	no	—
730	C₂²×C₁₀₉	—	4	1	no	—
731	C₂²×C₁₀₉	—	4	1	no	—
732	C₂²×C₁₀₉	C₄×#41	1	4	yes	—
733	C₂²×C₁₀₉	#520	1	4	yes	—
734	C₂²×C₁₀₉	C₂⁴×C₄	1	1	yes	characteristic
735	C₂²×C₁₀₉	C₂²×#41	1	1	yes	characteristic
736	C₂²×C₁₀₉	C₂²×#41	1	1	yes	characteristic
737	C₂²×C₁₀₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
738	C₂²×C₁₀₉	C₂×H(5,𝔽₂)	1	1	yes	characteristic
739	C₂²×C₁₀₉	C₂×2₋¹⁺⁴	1	1	yes	characteristic
740	C₂²×C₁₀₉	#585	1	1	yes	characteristic
741	C₄×C₁₀₉	—	2	2	no	—
742	C₄×C₁₀₉	—	2	2	no	—
743	C₄×C₁₀₉	—	2	2	no	—
744	C₄×C₁₀₉	—	2	2	no	—
745	C₄×C₁₀₉	—	2	2	no	—
746	C₄×C₁₀₉	—	2	2	no	—
747	C₄×C₁₀₉	—	2	2	no	—
748	C₄×C₁₀₉	—	2	2	no	—
749	C₄×C₁₀₉	—	2	2	no	—
750	C₄×C₁₀₉	—	2	2	no	—
751	C₄×C₁₀₉	—	2	2	no	—
752	C₄×C₁₀₉	—	2	2	no	—
753	C₄×C₁₀₉	—	2	2	no	—
754	C₄×C₁₀₉	—	2	2	no	—
755	C₄×C₁₀₉	—	2	2	no	—
756	C₄×C₁₀₉	—	2	2	no	—
757	C₄×C₁₀₉	—	4	1	no	—
758	C₄×C₁₀₉	—	4	1	no	—
759	C₄×C₁₀₉	—	4	1	no	—
760	C₄×C₁₀₉	—	4	1	no	—
761	C₄×C₁₀₉	—	4	1	no	—
762	C₄×C₁₀₉	—	4	1	no	—
763	C₄×C₁₀₉	—	4	1	no	—
764	C₄×C₁₀₉	—	4	1	no	—
765	C₄×C₁₀₉	—	4	1	no	—
766	C₄×C₁₀₉	—	4	1	no	—
767	C₄×C₁₀₉	—	4	1	no	—
768	#34296	C₁₀₉	1	1	yes	maximal, characteristic, direct product factor, Sylow
769	C₂×C₁₀₉	—	2	4	no	—
770	C₂×C₁₀₉	—	2	4	no	—
771	C₂×C₁₀₉	—	4	2	no	—
772	C₂×C₁₀₉	—	4	2	no	—
773	C₂×C₁₀₉	C₂×C₄×#41	1	1	yes	characteristic
774	C₂×C₁₀₉	C₂×#520	1	1	yes	characteristic
775	C₂×C₁₀₉	C₄×H(5,𝔽₂)	1	1	yes	characteristic
776	C₂×C₁₀₉	#3490	1	1	yes	characteristic
777	C₂×C₁₀₉	#3495	1	1	yes	characteristic
778	C₂×C₁₀₉	#3513	1	1	yes	characteristic
779	C₂×C₁₀₉	#3520	1	1	yes	characteristic
780	C₂×#551	C₂×C₁₀₉	1	1	yes	characteristic
781	#2373	C₂×C₁₀₉	1	1	yes	characteristic, complemented
782	#2373	C₂×C₁₀₉	1	1	yes	characteristic, complemented
783	#2368	C₂×C₁₀₉	1	1	yes	characteristic, complemented
784	#2367	C₂×C₁₀₉	1	1	yes	characteristic, complemented
785	#2360	C₂×C₁₀₉	1	1	yes	characteristic, complemented
786	#2359	C₂×C₁₀₉	1	1	yes	characteristic, complemented
787	#2359	C₂×C₁₀₉	1	1	yes	characteristic, complemented
788	#2359	C₂×C₁₀₉	1	1	yes	characteristic, complemented
789	#2358	C₂×C₁₀₉	1	1	yes	characteristic
790	#2352	C₂×C₁₀₉	1	1	yes	characteristic, complemented
791	#2349	C₂×C₁₀₉	1	1	yes	characteristic, complemented
792	#2343	C₂×C₁₀₉	1	1	yes	characteristic, complemented
793	#2343	C₂×C₁₀₉	1	1	yes	characteristic, complemented
794	#2342	C₂×C₁₀₉	1	1	yes	characteristic, complemented
795	#2342	C₂×C₁₀₉	1	1	yes	characteristic, complemented
796	#2337	C₂×C₁₀₉	1	1	yes	characteristic, complemented
797	#2335	C₂×C₁₀₉	1	1	yes	characteristic, complemented
798	#2334	C₂×C₁₀₉	1	1	yes	characteristic, complemented
799	#2334	C₂×C₁₀₉	1	1	yes	characteristic, complemented
800	#2329	C₂×C₁₀₉	1	1	yes	characteristic, complemented
801	#2322	C₂×C₁₀₉	1	1	yes	characteristic, complemented
802	C₄×C₂²⋊Q₈	C₂×C₁₀₉	1	1	yes	characteristic, complemented
803	C₄×#123	C₂×C₁₀₉	1	1	yes	characteristic, complemented
804	C₄×#120	C₂×C₁₀₉	1	1	yes	characteristic
805	#2296	C₂×C₁₀₉	1	1	yes	characteristic, complemented
806	#2290	C₂×C₁₀₉	1	1	yes	characteristic, complemented
807	C₂×#385	C₂×C₁₀₉	1	1	yes	characteristic, complemented
808	#2275	C₂×C₁₀₉	1	1	yes	characteristic, complemented
809	#2274	C₂×C₁₀₉	1	1	yes	characteristic, complemented
810	C₂×C₄×C₂²⋊C₄	C₂×C₁₀₉	1	1	yes	characteristic, complemented
811	C₁₀₉	#34296	1	1	yes	characteristic, direct product factor, Sylow
812	C₂⁴×C₄	C₂²×C₁₀₉	1	1	yes	characteristic
813	#551	C₄×C₁₀₉	1	16	yes	complemented
814	C₂×#126	C₂²×C₁₀₉	1	1	yes	characteristic
815	C₂×#126	C₂²×C₁₀₉	1	1	yes	characteristic
816	C₂×#124	C₂²×C₁₀₉	1	1	yes	characteristic
817	C₂×#123	C₂²×C₁₀₉	1	1	yes	characteristic
818	C₂×#123	C₂²×C₁₀₉	1	1	yes	characteristic
819	C₂×#123	C₂²×C₁₀₉	1	1	yes	characteristic
820	C₂×C₂²⋊Q₈	C₂²×C₁₀₉	1	1	yes	characteristic
821	C₂×C₂²⋊Q₈	C₂²×C₁₀₉	1	1	yes	characteristic
822	C₂×#120	C₂²×C₁₀₉	1	1	yes	characteristic
823	C₂×C₄×Q₈	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
824	C₂×C₄×D₄	C₂²×C₁₀₉	1	1	yes	characteristic
825	C₂×C₄×D₄	C₂²×C₁₀₉	1	1	yes	characteristic
826	C₂×C₄×D₄	C₂²×C₁₀₉	1	1	yes	characteristic
827	C₂×C₄×D₄	C₂²×C₁₀₉	1	1	yes	characteristic
828	C₂×C₄×D₄	C₂²×C₁₀₉	1	1	yes	characteristic
829	C₂×C₄×D₄	C₂²×C₁₀₉	1	1	yes	characteristic
830	C₂×C₄×D₄	C₂²×C₁₀₉	1	1	yes	characteristic
831	C₂×#117	C₂²×C₁₀₉	1	1	yes	characteristic
832	C₂×#117	C₂²×C₁₀₉	1	1	yes	characteristic
833	C₂×#117	C₂²×C₁₀₉	1	1	yes	characteristic
834	C₂×#117	C₂²×C₁₀₉	1	1	yes	characteristic
835	C₂×#117	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
836	C₂²×C₄⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic
837	C₂²×C₄⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic
838	C₂²×C₂²⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic
839	C₂²×C₂²⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic
840	C₂²×C₂²⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic
841	C₂²×C₂²⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic
842	C₂²×C₄²	C₂²×C₁₀₉	1	1	yes	characteristic
843	C₂²×C₄²	C₂²×C₁₀₉	1	1	yes	characteristic
844	#391	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
845	#391	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
846	#391	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
847	#390	C₂²×C₁₀₉	1	1	yes	characteristic
848	#389	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
849	#389	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
850	#389	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
851	#389	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
852	#389	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
853	#389	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
854	#389	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
855	#389	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
856	#388	C₂²×C₁₀₉	1	1	yes	characteristic
857	#388	C₂²×C₁₀₉	1	1	yes	characteristic
858	#388	C₂²×C₁₀₉	1	1	yes	characteristic
859	#388	C₂²×C₁₀₉	1	1	yes	characteristic
860	#388	C₂²×C₁₀₉	1	1	yes	characteristic
861	#388	C₂²×C₁₀₉	1	1	yes	characteristic
862	#388	C₂²×C₁₀₉	1	1	yes	characteristic
863	#388	C₂²×C₁₀₉	1	1	yes	characteristic
864	#388	C₂²×C₁₀₉	1	1	yes	characteristic
865	#388	C₂²×C₁₀₉	1	1	yes	characteristic
866	#388	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
867	#388	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
868	#388	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
869	#388	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
870	#388	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
871	#388	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
872	#387	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
873	#387	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
874	#387	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
875	#387	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
876	#387	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
877	#387	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
878	#387	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
879	#387	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
880	#387	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
881	#387	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
882	#387	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
883	#387	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
884	#387	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
885	#387	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
886	#387	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
887	#387	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
888	#386	C₂²×C₁₀₉	1	1	yes	characteristic
889	#386	C₂²×C₁₀₉	1	1	yes	characteristic
890	#386	C₂²×C₁₀₉	1	1	yes	characteristic
891	#386	C₂²×C₁₀₉	1	1	yes	characteristic
892	#386	C₂²×C₁₀₉	1	1	yes	characteristic
893	#386	C₂²×C₁₀₉	1	1	yes	characteristic
894	#385	C₂²×C₁₀₉	1	1	yes	characteristic
895	#385	C₂²×C₁₀₉	1	1	yes	characteristic
896	#385	C₂²×C₁₀₉	1	1	yes	characteristic
897	#385	C₂²×C₁₀₉	1	1	yes	characteristic
898	#385	C₂²×C₁₀₉	1	1	yes	characteristic
899	#385	C₂²×C₁₀₉	1	1	yes	characteristic
900	#385	C₂²×C₁₀₉	1	1	yes	characteristic
901	#385	C₂²×C₁₀₉	1	1	yes	characteristic
902	#385	C₂²×C₁₀₉	1	1	yes	characteristic
903	#385	C₂²×C₁₀₉	1	1	yes	characteristic
904	#385	C₂²×C₁₀₉	1	1	yes	characteristic
905	#385	C₂²×C₁₀₉	1	1	yes	characteristic
906	#385	C₂²×C₁₀₉	1	1	yes	characteristic
907	#385	C₂²×C₁₀₉	1	1	yes	characteristic
908	#385	C₂²×C₁₀₉	1	1	yes	characteristic
909	#385	C₂²×C₁₀₉	1	1	yes	characteristic
910	#385	C₂²×C₁₀₉	1	1	yes	characteristic
911	#385	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
912	#385	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
913	#385	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
914	#383	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
915	#382	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
916	#382	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
917	#381	C₂²×C₁₀₉	1	1	yes	characteristic
918	#381	C₂²×C₁₀₉	1	1	yes	characteristic
919	#380	C₂²×C₁₀₉	1	1	yes	characteristic
920	#380	C₂²×C₁₀₉	1	1	yes	characteristic
921	#380	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
922	#379	C₂²×C₁₀₉	1	1	yes	characteristic
923	C₄×C₄⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
924	C₄×C₄⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
925	C₄×C₄⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
926	C₄×C₄⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
927	C₄×C₄⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
928	C₄×C₄⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
929	C₄×C₄⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
930	C₄×C₄⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
931	C₄×C₄⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
932	C₄×C₄⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
933	C₄×C₄⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
934	C₄×C₄⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
935	C₄×C₄⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
936	C₄×C₄⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
937	C₄×C₄⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
938	C₄×C₂²⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic
939	C₄×C₂²⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic
940	C₄×C₂²⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic
941	C₄×C₂²⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic
942	C₄×C₂²⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic
943	C₄×C₂²⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic
944	C₄×C₂²⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic
945	C₄×C₂²⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic
946	C₄×C₂²⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic
947	C₄×C₂²⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic
948	C₄×C₂²⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic
949	C₄×C₂²⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic
950	C₄×C₂²⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic
951	C₄×C₂²⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic
952	C₄×C₂²⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic
953	C₄×C₂²⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic
954	C₄×C₂²⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic
955	C₄×C₂²⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic
956	C₄×C₂²⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic
957	C₄×C₂²⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
958	C₄×C₂²⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
959	C₄×C₂²⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
960	C₄×C₂²⋊C₄	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
961	#376	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
962	#376	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
963	C₂×#95	C₂²×C₁₀₉	1	1	yes	characteristic
964	C₂×#95	C₂²×C₁₀₉	1	1	yes	characteristic
965	C₂×#95	C₂²×C₁₀₉	1	1	yes	characteristic
966	C₂×#95	C₂²×C₁₀₉	1	1	yes	characteristic
967	C₂×#95	C₂²×C₁₀₉	1	1	yes	characteristic, complemented
968	C₂⁵	C₂³×C₁₀₉	1	1	yes	characteristic
969	C₂²×Q₈	C₂³×C₁₀₉	1	1	yes	characteristic
970	C₂²×D₄	C₂³×C₁₀₉	1	1	yes	characteristic
971	C₂²×D₄	C₂³×C₁₀₉	1	1	yes	characteristic
972	C₂²×D₄	C₂³×C₁₀₉	1	1	yes	characteristic
973	C₂³×C₄	—	2	4	no	—
974	C₂³×C₄	—	4	2	no	—
975	C₂³×C₄	—	4	2	no	—
976	C₂³×C₄	C₂³×C₁₀₉	1	1	yes	characteristic
977	C₂³×C₄	C₂³×C₁₀₉	1	1	yes	characteristic
978	C₂³×C₄	C₂³×C₁₀₉	1	1	yes	characteristic
979	C₂³×C₄	C₂³×C₁₀₉	1	1	yes	characteristic
980	C₂³×C₄	C₂³×C₁₀₉	1	1	yes	characteristic
981	C₂³×C₄	C₂³×C₁₀₉	1	1	yes	characteristic
982	C₂³×C₄	C₂³×C₁₀₉	1	1	yes	characteristic
983	C₂³×C₄	C₂³×C₁₀₉	1	1	yes	characteristic
984	C₂³×C₄	C₂³×C₁₀₉	1	1	yes	characteristic
985	C₂³×C₄	C₂³×C₁₀₉	1	1	yes	characteristic
986	C₂³×C₄	C₂³×C₁₀₉	1	1	yes	characteristic
987	C₂³×C₄	C₂³×C₁₀₉	1	1	yes	characteristic
988	C₂³×C₄	C₂³×C₁₀₉	1	1	yes	characteristic
989	C₂³×C₄	C₂³×C₁₀₉	1	1	yes	characteristic
990	C₂³×C₄	C₂³×C₁₀₉	1	1	yes	characteristic
991	C₂³×C₄	C₂³×C₁₀₉	1	1	yes	characteristic
992	C₂³×C₄	C₂³×C₁₀₉	1	1	yes	characteristic
993	#126	C₂×C₄×C₁₀₉	1	8	yes	complemented
994	#126	C₂×C₄×C₁₀₉	1	8	yes	complemented
995	#124	C₂×C₄×C₁₀₉	1	8	yes	complemented
996	#123	C₂×C₄×C₁₀₉	1	8	yes	complemented
997	#123	C₂×C₄×C₁₀₉	1	8	yes	complemented
998	#123	C₂×C₄×C₁₀₉	1	8	yes	complemented
999	C₂²⋊Q₈	C₂×C₄×C₁₀₉	1	8	yes	complemented
1000	C₂²⋊Q₈	C₂×C₄×C₁₀₉	1	8	yes	complemented
1001	#120	C₂×C₄×C₁₀₉	1	8	yes	—
1002	C₄×Q₈	—	4	2	no	—
1003	C₄×D₄	—	2	4	no	—
1004	C₄×D₄	—	2	4	no	—
1005	C₄×D₄	—	4	2	no	—
1006	C₄×D₄	—	4	2	no	—
1007	C₄×D₄	—	4	2	no	—
1008	C₄×D₄	C₂×C₄×C₁₀₉	1	8	yes	complemented
1009	C₄×D₄	C₂×C₄×C₁₀₉	1	8	yes	complemented
1010	#117	—	2	4	no	—
1011	#117	—	4	2	no	—
1012	#117	—	4	2	no	—
1013	#117	C₂×C₄×C₁₀₉	1	8	yes	complemented
1014	#117	C₂×C₄×C₁₀₉	1	8	yes	complemented
1015	C₂×C₄⋊C₄	—	2	4	no	—
1016	C₂×C₄⋊C₄	—	4	2	no	—
1017	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1018	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1019	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1020	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1021	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1022	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1023	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1024	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1025	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1026	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1027	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1028	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1029	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1030	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1031	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1032	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1033	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1034	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1035	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1036	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1037	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1038	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1039	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1040	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1041	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1042	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1043	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1044	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1045	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1046	C₂×C₄⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1047	C₂×C₂²⋊C₄	—	2	4	no	—
1048	C₂×C₂²⋊C₄	—	4	2	no	—
1049	C₂×C₂²⋊C₄	C₂×C₄×C₁₀₉	1	8	yes	complemented
1050	C₂×C₂²⋊C₄	C₂×C₄×C₁₀₉	1	8	yes	complemented
1051	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1052	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1053	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1054	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1055	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1056	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1057	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1058	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1059	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1060	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1061	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1062	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1063	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1064	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1065	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1066	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1067	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1068	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1069	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1070	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1071	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1072	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1073	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1074	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1075	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1076	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1077	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1078	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1079	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1080	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1081	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1082	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1083	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1084	C₂×C₂²⋊C₄	C₂³×C₁₀₉	1	1	yes	characteristic
1085	C₂×C₄²	—	4	2	no	—
1086	C₂×C₄²	—	4	2	no	—
1087	C₂×C₄²	C₂³×C₁₀₉	1	1	yes	characteristic
1088	C₂×C₄²	C₂³×C₁₀₉	1	1	yes	characteristic
1089	C₂×C₄²	C₂³×C₁₀₉	1	1	yes	characteristic
1090	C₂×C₄²	C₂³×C₁₀₉	1	1	yes	characteristic
1091	C₂×C₄²	C₂³×C₁₀₉	1	1	yes	characteristic
1092	C₂×C₄²	C₂³×C₁₀₉	1	1	yes	characteristic
1093	C₂×C₄²	C₂³×C₁₀₉	1	1	yes	characteristic
1094	C₂×C₄²	C₂³×C₁₀₉	1	1	yes	characteristic
1095	C₂×C₄²	C₂³×C₁₀₉	1	1	yes	characteristic
1096	C₂×C₄²	C₂³×C₁₀₉	1	1	yes	characteristic
1097	C₂×C₄²	C₂³×C₁₀₉	1	1	yes	characteristic
1098	C₂×C₄²	C₂³×C₁₀₉	1	1	yes	characteristic
1099	C₂×C₄²	C₂³×C₁₀₉	1	1	yes	characteristic
1100	C₂×C₄²	C₂³×C₁₀₉	1	1	yes	characteristic
1101	C₂×C₄²	C₂³×C₁₀₉	1	1	yes	characteristic
1102	C₂×C₄²	C₂³×C₁₀₉	1	1	yes	characteristic
1103	C₂×C₄²	C₂³×C₁₀₉	1	1	yes	characteristic
1104	C₂×C₄²	C₂³×C₁₀₉	1	1	yes	characteristic
1105	C₂×C₄²	C₂³×C₁₀₉	1	1	yes	characteristic
1106	C₂×C₄²	C₂³×C₁₀₉	1	1	yes	characteristic
1107	C₂×C₄²	C₂³×C₁₀₉	1	1	yes	characteristic
1108	C₂×C₄²	C₂³×C₁₀₉	1	1	yes	characteristic
1109	C₂×C₄²	C₂³×C₁₀₉	1	1	yes	characteristic
1110	C₂×C₄²	C₂³×C₁₀₉	1	1	yes	characteristic
1111	C₂×C₄²	C₂³×C₁₀₉	1	1	yes	characteristic
1112	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1113	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1114	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1115	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1116	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1117	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1118	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1119	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1120	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1121	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1122	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1123	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1124	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1125	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1126	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1127	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1128	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1129	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1130	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1131	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1132	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1133	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1134	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1135	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1136	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1137	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1138	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1139	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1140	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1141	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1142	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1143	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1144	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1145	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1146	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1147	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1148	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1149	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1150	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1151	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1152	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1153	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1154	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1155	#95	C₂³×C₁₀₉	1	1	yes	characteristic
1156	C₂⁴	—	2	2	no	—
1157	C₂⁴	—	2	2	no	—
1158	C₂⁴	—	2	2	no	—
1159	C₂⁴	—	2	2	no	—
1160	C₂⁴	—	4	1	no	—
1161	C₂⁴	—	4	1	no	—
1162	C₂⁴	C₂²×C₄×C₁₀₉	1	4	yes	—
1163	C₂⁴	C₂⁴×C₁₀₉	1	1	yes	characteristic
1164	C₂⁴	C₂⁴×C₁₀₉	1	1	yes	characteristic
1165	C₂⁴	C₂⁴×C₁₀₉	1	1	yes	characteristic
1166	C₂⁴	C₂⁴×C₁₀₉	1	1	yes	characteristic
1167	C₂×Q₈	—	4	1	no	—
1168	C₂×Q₈	—	4	1	no	—
1169	C₂×Q₈	C₂²×C₄×C₁₀₉	1	4	yes	complemented
1170	C₂×D₄	—	2	2	no	—
1171	C₂×D₄	—	2	2	no	—
1172	C₂×D₄	—	2	2	no	—
1173	C₂×D₄	—	2	2	no	—
1174	C₂×D₄	—	4	1	no	—
1175	C₂×D₄	—	4	1	no	—
1176	C₂×D₄	C₂²×C₄×C₁₀₉	1	4	yes	—
1177	C₂×D₄	C₂²×C₄×C₁₀₉	1	4	yes	—
1178	C₂×D₄	C₂²×C₄×C₁₀₉	1	4	yes	—
1179	C₂²×C₄	—	2	2	no	—
1180	C₂²×C₄	—	2	2	no	—
1181	C₂²×C₄	—	2	2	no	—
1182	C₂²×C₄	—	2	2	no	—
1183	C₂²×C₄	—	2	2	no	—
1184	C₂²×C₄	—	2	2	no	—
1185	C₂²×C₄	—	2	2	no	—
1186	C₂²×C₄	—	2	2	no	—
1187	C₂²×C₄	—	2	2	no	—
1188	C₂²×C₄	—	2	2	no	—
1189	C₂²×C₄	—	2	2	no	—
1190	C₂²×C₄	—	2	2	no	—
1191	C₂²×C₄	—	2	2	no	—
1192	C₂²×C₄	—	2	2	no	—
1193	C₂²×C₄	—	2	2	no	—
1194	C₂²×C₄	—	2	2	no	—
1195	C₂²×C₄	—	2	2	no	—
1196	C₂²×C₄	—	2	2	no	—
1197	C₂²×C₄	—	2	2	no	—
1198	C₂²×C₄	—	2	2	no	—
1199	C₂²×C₄	—	2	2	no	—
1200	C₂²×C₄	—	2	2	no	—
1201	C₂²×C₄	—	4	1	no	—
1202	C₂²×C₄	—	4	1	no	—
1203	C₂²×C₄	—	4	1	no	—
1204	C₂²×C₄	—	4	1	no	—
1205	C₂²×C₄	—	4	1	no	—
1206	C₂²×C₄	—	4	1	no	—
1207	C₂²×C₄	—	4	1	no	—
1208	C₂²×C₄	—	4	1	no	—
1209	C₂²×C₄	—	4	1	no	—
1210	C₂²×C₄	—	4	1	no	—
1211	C₂²×C₄	—	4	1	no	—
1212	C₂²×C₄	—	4	1	no	—
1213	C₂²×C₄	—	4	1	no	—
1214	C₂²×C₄	—	4	1	no	—
1215	C₂²×C₄	—	4	1	no	—
1216	C₂²×C₄	—	4	1	no	—
1217	C₂²×C₄	—	4	1	no	—
1218	C₂²×C₄	—	4	1	no	—
1219	C₂²×C₄	—	4	1	no	—
1220	C₂²×C₄	—	4	1	no	—
1221	C₂²×C₄	—	4	1	no	—
1222	C₂²×C₄	—	4	1	no	—
1223	C₂²×C₄	—	4	1	no	—
1224	C₂²×C₄	—	4	16	no	—
1225	C₂²×C₄	C₂²×C₄×C₁₀₉	1	4	yes	—
1226	C₂²×C₄	C₂²×C₄×C₁₀₉	1	4	yes	—
1227	C₂²×C₄	C₂²×C₄×C₁₀₉	1	4	yes	—
1228	C₂²×C₄	C₂²×C₄×C₁₀₉	1	4	yes	—
1229	C₂²×C₄	C₂²×C₄×C₁₀₉	1	4	yes	complemented
1230	C₂²×C₄	#41×C₁₀₉	1	4	yes	—
1231	C₂²×C₄	C₂⁴×C₁₀₉	1	1	yes	characteristic
1232	C₂²×C₄	C₂⁴×C₁₀₉	1	1	yes	characteristic
1233	C₂²×C₄	C₂⁴×C₁₀₉	1	1	yes	characteristic
1234	C₂²×C₄	C₂⁴×C₁₀₉	1	1	yes	characteristic
1235	C₂²×C₄	C₂⁴×C₁₀₉	1	1	yes	characteristic
1236	C₂²×C₄	C₂⁴×C₁₀₉	1	1	yes	characteristic
1237	C₂²×C₄	C₂⁴×C₁₀₉	1	1	yes	characteristic
1238	C₂²×C₄	C₂⁴×C₁₀₉	1	1	yes	characteristic
1239	C₂²×C₄	C₂⁴×C₁₀₉	1	1	yes	characteristic
1240	C₂²×C₄	C₂⁴×C₁₀₉	1	1	yes	characteristic
1241	C₂²×C₄	C₂⁴×C₁₀₉	1	1	yes	characteristic
1242	C₂²×C₄	C₂⁴×C₁₀₉	1	1	yes	characteristic
1243	C₂²×C₄	C₂⁴×C₁₀₉	1	1	yes	characteristic
1244	C₂²×C₄	C₂⁴×C₁₀₉	1	1	yes	characteristic
1245	C₂²×C₄	C₂⁴×C₁₀₉	1	1	yes	characteristic
1246	C₂²×C₄	C₂⁴×C₁₀₉	1	1	yes	characteristic
1247	C₂²×C₄	C₂⁴×C₁₀₉	1	1	yes	characteristic
1248	C₂²×C₄	C₂⁴×C₁₀₉	1	1	yes	characteristic
1249	C₂²×C₄	C₂⁴×C₁₀₉	1	1	yes	characteristic
1250	C₂²×C₄	C₂⁴×C₁₀₉	1	1	yes	characteristic
1251	C₂²×C₄	C₂⁴×C₁₀₉	1	1	yes	characteristic
1252	C₂²×C₄	C₂⁴×C₁₀₉	1	1	yes	characteristic
1253	C₂²×C₄	C₂⁴×C₁₀₉	1	1	yes	characteristic
1254	C₂²×C₄	C₂⁴×C₁₀₉	1	1	yes	characteristic
1255	C₂²×C₄	C₂⁴×C₁₀₉	1	1	yes	characteristic
1256	C₂²×C₄	C₂⁴×C₁₀₉	1	1	yes	characteristic
1257	C₂²×C₄	C₂⁴×C₁₀₉	1	1	yes	characteristic
1258	C₄⋊C₄	—	2	2	no	—
1259	C₄⋊C₄	—	2	2	no	—
1260	C₄⋊C₄	—	2	2	no	—
1261	C₄⋊C₄	—	2	2	no	—
1262	C₄⋊C₄	—	2	2	no	—
1263	C₄⋊C₄	—	2	2	no	—
1264	C₄⋊C₄	—	2	2	no	—
1265	C₄⋊C₄	—	2	2	no	—
1266	C₄⋊C₄	—	2	2	no	—
1267	C₄⋊C₄	—	2	2	no	—
1268	C₄⋊C₄	—	2	2	no	—
1269	C₄⋊C₄	—	4	1	no	—
1270	C₄⋊C₄	—	4	1	no	—
1271	C₄⋊C₄	—	4	1	no	—
1272	C₄⋊C₄	—	4	1	no	—
1273	C₄⋊C₄	—	4	1	no	—
1274	C₄⋊C₄	—	4	1	no	—
1275	C₄⋊C₄	—	4	1	no	—
1276	C₄⋊C₄	—	4	1	no	—
1277	C₄⋊C₄	—	4	1	no	—
1278	C₄⋊C₄	—	4	1	no	—
1279	C₄⋊C₄	—	4	1	no	—
1280	C₄⋊C₄	C₂²×C₄×C₁₀₉	1	4	yes	complemented
1281	C₄⋊C₄	C₂²×C₄×C₁₀₉	1	4	yes	complemented
1282	C₄⋊C₄	C₂²×C₄×C₁₀₉	1	4	yes	complemented
1283	C₄⋊C₄	C₂²×C₄×C₁₀₉	1	4	yes	complemented
1284	C₄⋊C₄	C₂²×C₄×C₁₀₉	1	4	yes	complemented
1285	C₄⋊C₄	C₂²×C₄×C₁₀₉	1	4	yes	complemented
1286	C₄⋊C₄	C₂²×C₄×C₁₀₉	1	4	yes	complemented
1287	C₄⋊C₄	C₂²×C₄×C₁₀₉	1	4	yes	complemented
1288	C₂²⋊C₄	—	2	2	no	—
1289	C₂²⋊C₄	—	2	2	no	—
1290	C₂²⋊C₄	—	2	2	no	—
1291	C₂²⋊C₄	—	2	2	no	—
1292	C₂²⋊C₄	—	2	2	no	—
1293	C₂²⋊C₄	—	2	2	no	—
1294	C₂²⋊C₄	—	2	2	no	—
1295	C₂²⋊C₄	—	2	2	no	—
1296	C₂²⋊C₄	—	2	2	no	—
1297	C₂²⋊C₄	—	2	2	no	—
1298	C₂²⋊C₄	—	2	2	no	—
1299	C₂²⋊C₄	—	2	2	no	—
1300	C₂²⋊C₄	—	4	1	no	—
1301	C₂²⋊C₄	—	4	1	no	—
1302	C₂²⋊C₄	—	4	1	no	—
1303	C₂²⋊C₄	—	4	1	no	—
1304	C₂²⋊C₄	—	4	1	no	—
1305	C₂²⋊C₄	—	4	1	no	—
1306	C₂²⋊C₄	—	4	1	no	—
1307	C₂²⋊C₄	C₂²×C₄×C₁₀₉	1	4	yes	—
1308	C₂²⋊C₄	C₂²×C₄×C₁₀₉	1	4	yes	—
1309	C₂²⋊C₄	C₂²×C₄×C₁₀₉	1	4	yes	—
1310	C₂²⋊C₄	C₂²×C₄×C₁₀₉	1	4	yes	—
1311	C₂²⋊C₄	C₂²×C₄×C₁₀₉	1	4	yes	—
1312	C₂²⋊C₄	C₂²×C₄×C₁₀₉	1	4	yes	—
1313	C₂²⋊C₄	C₂²×C₄×C₁₀₉	1	4	yes	—
1314	C₂²⋊C₄	C₂²×C₄×C₁₀₉	1	4	yes	—
1315	C₂²⋊C₄	C₂²×C₄×C₁₀₉	1	4	yes	—
1316	C₂²⋊C₄	C₂²×C₄×C₁₀₉	1	4	yes	—
1317	C₂²⋊C₄	C₂²×C₄×C₁₀₉	1	4	yes	—
1318	C₂²⋊C₄	C₂²×C₄×C₁₀₉	1	4	yes	complemented
1319	C₂²⋊C₄	C₂²×C₄×C₁₀₉	1	4	yes	complemented
1320	C₂²⋊C₄	C₂²×C₄×C₁₀₉	1	4	yes	complemented
1321	C₂²⋊C₄	#41×C₁₀₉	1	4	yes	—
1322	C₄²	—	2	2	no	—
1323	C₄²	—	2	2	no	—
1324	C₄²	—	2	2	no	—
1325	C₄²	—	2	2	no	—
1326	C₄²	—	2	2	no	—
1327	C₄²	—	2	2	no	—
1328	C₄²	—	4	1	no	—
1329	C₄²	—	4	1	no	—
1330	C₄²	—	4	1	no	—
1331	C₄²	—	4	1	no	—
1332	C₄²	—	4	1	no	—
1333	C₄²	—	4	1	no	—
1334	C₄²	—	4	1	no	—
1335	C₄²	—	4	1	no	—
1336	C₄²	—	4	1	no	—
1337	C₄²	—	4	1	no	—
1338	C₄²	—	4	1	no	—
1339	C₄²	—	4	1	no	—
1340	C₄²	—	4	1	no	—
1341	C₄²	—	4	1	no	—
1342	C₄²	—	4	1	no	—
1343	C₄²	—	4	1	no	—
1344	C₄²	C₂²×C₄×C₁₀₉	1	4	yes	complemented
1345	C₄²	C₂²×C₄×C₁₀₉	1	4	yes	complemented
1346	C₄²	C₂²×C₄×C₁₀₉	1	4	yes	complemented
1347	C₂³	—	2	1	no	—
1348	C₂³	—	2	1	no	—
1349	C₂³	—	2	1	no	—
1350	C₂³	—	2	1	no	—
1351	C₂³	—	2	1	no	—
1352	C₂³	—	2	1	no	—
1353	C₂³	—	2	1	no	—
1354	C₂³	—	2	1	no	—
1355	C₂³	—	2	8	no	—
1356	C₂³	—	2	8	no	—
1357	C₂³	—	2	1	no	—
1358	C₂³	—	2	1	no	—
1359	C₂³	—	2	1	no	—
1360	C₂³	—	2	1	no	—
1361	C₂³	—	2	1	no	—
1362	C₂³	—	2	1	no	—
1363	C₂³	—	2	1	no	—
1364	C₂³	—	2	1	no	—
1365	C₂³	—	2	1	no	—
1366	C₂³	—	2	1	no	—
1367	C₂³	—	2	1	no	—
1368	C₂³	—	2	1	no	—
1369	C₂³	—	4	4	no	—
1370	C₂³	—	4	4	no	—
1371	C₂³	—	4	4	no	—
1372	C₂³	—	4	4	no	—
1373	C₂³	—	4	4	no	—
1374	C₂³	C₂³×C₄×C₁₀₉	1	2	yes	—
1375	C₂³	C₂³×C₄×C₁₀₉	1	2	yes	—
1376	C₂³	C₂³×C₄×C₁₀₉	1	2	yes	—
1377	C₂³	C₂³×C₄×C₁₀₉	1	2	yes	—
1378	C₂³	C₂×#41×C₁₀₉	1	2	yes	—
1379	C₂³	C₂×#41×C₁₀₉	1	2	yes	—
1380	C₂³	H(5,𝔽₂)×C₁₀₉	1	2	yes	—
1381	C₂³	2₋¹⁺⁴×C₁₀₉	1	2	yes	—
1382	C₂³	C₂⁵×C₁₀₉	1	1	yes	characteristic
1383	Q₈	—	4	4	no	—
1384	D₄	—	2	8	no	—
1385	D₄	—	2	8	no	—
1386	D₄	—	4	4	no	—
1387	C₂×C₄	—	2	8	no	—
1388	C₂×C₄	—	2	8	no	—
1389	C₂×C₄	—	2	8	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	2	1	no	—
1422	C₂×C₄	—	2	1	no	—
1423	C₂×C₄	—	2	1	no	—
1424	C₂×C₄	—	2	1	no	—
1425	C₂×C₄	—	2	1	no	—
1426	C₂×C₄	—	2	1	no	—
1427	C₂×C₄	—	2	1	no	—
1428	C₂×C₄	—	2	1	no	—
1429	C₂×C₄	—	2	1	no	—
1430	C₂×C₄	—	2	1	no	—
1431	C₂×C₄	—	2	1	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	2	1	no	—
1437	C₂×C₄	—	2	1	no	—
1438	C₂×C₄	—	2	1	no	—
1439	C₂×C₄	—	2	1	no	—
1440	C₂×C₄	—	2	1	no	—
1441	C₂×C₄	—	2	1	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	2	1	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	2	1	no	—
1450	C₂×C₄	—	2	1	no	—
1451	C₂×C₄	—	2	1	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	4	4	no	—
1456	C₂×C₄	—	4	4	no	—
1457	C₂×C₄	—	4	4	no	—
1458	C₂×C₄	—	4	4	no	—
1459	C₂×C₄	—	4	4	no	—
1460	C₂×C₄	—	4	4	no	—
1461	C₂×C₄	—	4	4	no	—
1462	C₂×C₄	—	4	4	no	—
1463	C₂×C₄	—	4	4	no	—
1464	C₂×C₄	—	4	4	no	—
1465	C₂×C₄	—	8	2	no	—
1466	C₂×C₄	—	8	2	no	—
1467	C₂×C₄	—	8	2	no	—
1468	C₂×C₄	—	8	2	no	—
1469	C₂×C₄	C₂³×C₄×C₁₀₉	1	2	yes	—
1470	C₂×C₄	C₂³×C₄×C₁₀₉	1	2	yes	—
1471	C₂×C₄	C₂³×C₄×C₁₀₉	1	2	yes	—
1472	C₂×C₄	C₂³×C₄×C₁₀₉	1	2	yes	—
1473	C₂×C₄	C₂³×C₄×C₁₀₉	1	2	yes	—
1474	C₂×C₄	C₂³×C₄×C₁₀₉	1	2	yes	—
1475	C₂×C₄	C₂³×C₄×C₁₀₉	1	2	yes	—
1476	C₂×C₄	C₂³×C₄×C₁₀₉	1	2	yes	—
1477	C₂×C₄	C₂³×C₄×C₁₀₉	1	2	yes	—
1478	C₂×C₄	C₂³×C₄×C₁₀₉	1	2	yes	—
1479	C₂×C₄	C₂³×C₄×C₁₀₉	1	2	yes	—
1480	C₂×C₄	C₂×#41×C₁₀₉	1	2	yes	—
1481	C₂×C₄	C₂×#41×C₁₀₉	1	2	yes	—
1482	C₂×C₄	C₂×#41×C₁₀₉	1	2	yes	—
1483	C₂×C₄	C₂×#41×C₁₀₉	1	2	yes	—
1484	C₂×C₄	H(5,𝔽₂)×C₁₀₉	1	2	yes	—
1485	C₂²	—	2	2	no	—
1486	C₂²	—	2	2	no	—
1487	C₂²	—	2	2	no	—
1488	C₂²	—	2	2	no	—
1489	C₂²	—	2	2	no	—
1490	C₂²	—	2	2	no	—
1491	C₂²	—	2	2	no	—
1492	C₂²	—	2	2	no	—
1493	C₂²	—	2	2	no	—
1494	C₂²	—	2	2	no	—
1495	C₂²	—	2	2	no	—
1496	C₂²	—	2	2	no	—
1497	C₂²	—	2	2	no	—
1498	C₂²	—	2	2	no	—
1499	C₂²	—	2	2	no	—
1500	C₂²	—	2	2	no	—
1501	C₂²	—	2	2	no	—
1502	C₂²	—	2	2	no	—
1503	C₂²	—	4	16	no	—
1504	C₂²	—	4	1	no	—
1505	C₂²	—	4	1	no	—
1506	C₂²	—	4	1	no	—
1507	C₂²	—	4	1	no	—
1508	C₂²	—	4	1	no	—
1509	C₂²	—	4	1	no	—
1510	C₂²	—	4	1	no	—
1511	C₂²	—	4	1	no	—
1512	C₂²	C₄×#41×C₁₀₉	1	4	yes	—
1513	C₂²	#520×C₁₀₉	1	4	yes	—
1514	C₂²	C₂⁴×C₄×C₁₀₉	1	1	yes	characteristic
1515	C₂²	C₂²×#41×C₁₀₉	1	1	yes	characteristic
1516	C₂²	C₂²×#41×C₁₀₉	1	1	yes	characteristic
1517	C₂²	C₂×H(5,𝔽₂)×C₁₀₉	1	1	yes	characteristic
1518	C₂²	C₂×H(5,𝔽₂)×C₁₀₉	1	1	yes	characteristic
1519	C₂²	C₂×2₋¹⁺⁴×C₁₀₉	1	1	yes	characteristic
1520	C₂²	#585×C₁₀₉	1	1	yes	characteristic
1521	C₄	—	2	2	no	—
1522	C₄	—	2	2	no	—
1523	C₄	—	2	2	no	—
1524	C₄	—	2	2	no	—
1525	C₄	—	2	2	no	—
1526	C₄	—	2	2	no	—
1527	C₄	—	2	2	no	—
1528	C₄	—	2	2	no	—
1529	C₄	—	2	2	no	—
1530	C₄	—	2	2	no	—
1531	C₄	—	2	2	no	—
1532	C₄	—	2	2	no	—
1533	C₄	—	2	2	no	—
1534	C₄	—	2	2	no	—
1535	C₄	—	2	2	no	—
1536	C₄	—	2	2	no	—
1537	C₄	—	4	1	no	—
1538	C₄	—	4	1	no	—
1539	C₄	—	4	1	no	—
1540	C₄	—	4	1	no	—
1541	C₄	—	4	1	no	—
1542	C₄	—	4	1	no	—
1543	C₄	—	4	1	no	—
1544	C₄	—	4	1	no	—
1545	C₄	—	4	1	no	—
1546	C₄	—	4	1	no	—
1547	C₄	—	4	1	no	—
1548	C₂	—	2	4	no	—
1549	C₂	—	2	4	no	—
1550	C₂	—	4	2	no	—
1551	C₂	—	4	2	no	—
1552	C₂	C₂×C₄×#41×C₁₀₉	1	1	yes	characteristic
1553	C₂	C₂×#520×C₁₀₉	1	1	yes	characteristic
1554	C₂	C₄×H(5,𝔽₂)×C₁₀₉	1	1	yes	characteristic
1555	C₂	C₁₀₉×#3490	1	1	yes	characteristic
1556	C₂	C₁₀₉×#3495	1	1	yes	characteristic
1557	C₂	C₁₀₉×#3513	1	1	yes	characteristic
1558	C₂	C₁₀₉×#3520	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³×C₁₀₉	C₂⁵
commutator	C₂²	C₂⁴×C₄×C₁₀₉
Frattini, cosocle	C₂³	C₂⁵×C₁₀₉
prime radical	C₂×#120×C₁₀₉	C₂²
LCS	G ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂³×C₁₀₉ ◁ G

Complements

Splittings G = N ⋊ H with N normal; H ≅ G/N.

N	H ≅ G/N	type
2. C₁₀₉×#2373	C₂	semidirect
3. C₁₀₉×#2373	C₂	semidirect
4. C₁₀₉×#2368	C₂	semidirect
5. C₁₀₉×#2367	C₂	semidirect
6. C₁₀₉×#2360	C₂	semidirect
7. C₁₀₉×#2359	C₂	semidirect
8. C₁₀₉×#2359	C₂	semidirect
9. C₁₀₉×#2359	C₂	semidirect
11. C₁₀₉×#2352	C₂	semidirect
12. C₁₀₉×#2349	C₂	semidirect
13. C₁₀₉×#2343	C₂	semidirect
14. C₁₀₉×#2343	C₂	semidirect
15. C₁₀₉×#2342	C₂	semidirect
16. C₁₀₉×#2342	C₂	semidirect
17. C₁₀₉×#2337	C₂	semidirect
18. C₁₀₉×#2335	C₂	semidirect
19. C₁₀₉×#2334	C₂	semidirect
20. C₁₀₉×#2334	C₂	semidirect
21. C₁₀₉×#2329	C₂	semidirect
22. C₁₀₉×#2322	C₂	semidirect
23. C₄×C₂²⋊Q₈×C₁₀₉	C₂	semidirect
24. C₄×#123×C₁₀₉	C₂	semidirect
26. C₁₀₉×#2296	C₂	semidirect
27. C₁₀₉×#2290	C₂	semidirect
28. C₂×#385×C₁₀₉	C₂	semidirect
29. C₁₀₉×#2275	C₂	semidirect
30. C₁₀₉×#2274	C₂	semidirect
31. C₂×C₄×C₂²⋊C₄×C₁₀₉	C₂	semidirect
33. #551×C₁₀₉	C₄	semidirect
43. C₂×C₄×Q₈×C₁₀₉	C₂²	semidirect
55. C₂×#117×C₁₀₉	C₂²	semidirect
64. #391×C₁₀₉	C₂²	semidirect
65. #391×C₁₀₉	C₂²	semidirect
66. #391×C₁₀₉	C₂²	semidirect
68. #389×C₁₀₉	C₂²	semidirect
69. #389×C₁₀₉	C₂²	semidirect
70. #389×C₁₀₉	C₂²	semidirect
71. #389×C₁₀₉	C₂²	semidirect
72. #389×C₁₀₉	C₂²	semidirect
73. #389×C₁₀₉	C₂²	semidirect
74. #389×C₁₀₉	C₂²	semidirect
75. #389×C₁₀₉	C₂²	semidirect
86. #388×C₁₀₉	C₂²	semidirect
87. #388×C₁₀₉	C₂²	semidirect
88. #388×C₁₀₉	C₂²	semidirect
89. #388×C₁₀₉	C₂²	semidirect
90. #388×C₁₀₉	C₂²	semidirect
91. #388×C₁₀₉	C₂²	semidirect
92. #387×C₁₀₉	C₂²	semidirect
93. #387×C₁₀₉	C₂²	semidirect
94. #387×C₁₀₉	C₂²	semidirect
95. #387×C₁₀₉	C₂²	semidirect
96. #387×C₁₀₉	C₂²	semidirect
97. #387×C₁₀₉	C₂²	semidirect
98. #387×C₁₀₉	C₂²	semidirect
99. #387×C₁₀₉	C₂²	semidirect
100. #387×C₁₀₉	C₂²	semidirect
101. #387×C₁₀₉	C₂²	semidirect
102. #387×C₁₀₉	C₂²	semidirect
103. #387×C₁₀₉	C₂²	semidirect
104. #387×C₁₀₉	C₂²	semidirect
105. #387×C₁₀₉	C₂²	semidirect
106. #387×C₁₀₉	C₂²	semidirect
107. #387×C₁₀₉	C₂²	semidirect
131. #385×C₁₀₉	C₂²	semidirect
132. #385×C₁₀₉	C₂²	semidirect
133. #385×C₁₀₉	C₂²	semidirect
134. #383×C₁₀₉	C₂²	semidirect
135. #382×C₁₀₉	C₂²	semidirect
136. #382×C₁₀₉	C₂²	semidirect
141. #380×C₁₀₉	C₂²	semidirect
143. C₄×C₄⋊C₄×C₁₀₉	C₂²	semidirect
144. C₄×C₄⋊C₄×C₁₀₉	C₂²	semidirect
145. C₄×C₄⋊C₄×C₁₀₉	C₂²	semidirect
146. C₄×C₄⋊C₄×C₁₀₉	C₂²	semidirect
147. C₄×C₄⋊C₄×C₁₀₉	C₂²	semidirect
148. C₄×C₄⋊C₄×C₁₀₉	C₂²	semidirect
149. C₄×C₄⋊C₄×C₁₀₉	C₂²	semidirect
150. C₄×C₄⋊C₄×C₁₀₉	C₂²	semidirect
151. C₄×C₄⋊C₄×C₁₀₉	C₂²	semidirect
152. C₄×C₄⋊C₄×C₁₀₉	C₂²	semidirect
153. C₄×C₄⋊C₄×C₁₀₉	C₂²	semidirect
154. C₄×C₄⋊C₄×C₁₀₉	C₂²	semidirect
155. C₄×C₄⋊C₄×C₁₀₉	C₂²	semidirect
156. C₄×C₄⋊C₄×C₁₀₉	C₂²	semidirect
157. C₄×C₄⋊C₄×C₁₀₉	C₂²	semidirect
177. C₄×C₂²⋊C₄×C₁₀₉	C₂²	semidirect
178. C₄×C₂²⋊C₄×C₁₀₉	C₂²	semidirect
179. C₄×C₂²⋊C₄×C₁₀₉	C₂²	semidirect
180. C₄×C₂²⋊C₄×C₁₀₉	C₂²	semidirect
181. #376×C₁₀₉	C₂²	semidirect
182. #376×C₁₀₉	C₂²	semidirect
187. C₂×#95×C₁₀₉	C₂²	semidirect
213. #126×C₁₀₉	C₂×C₄	semidirect
214. #126×C₁₀₉	C₂×C₄	semidirect
215. #124×C₁₀₉	C₂×C₄	semidirect
216. #123×C₁₀₉	C₂×C₄	semidirect
217. #123×C₁₀₉	C₂×C₄	semidirect
218. #123×C₁₀₉	C₂×C₄	semidirect
219. C₂²⋊Q₈×C₁₀₉	C₂×C₄	semidirect
220. C₂²⋊Q₈×C₁₀₉	C₂×C₄	semidirect
228. C₄×D₄×C₁₀₉	C₂×C₄	semidirect
229. C₄×D₄×C₁₀₉	C₂×C₄	semidirect
233. #117×C₁₀₉	C₂×C₄	semidirect
234. #117×C₁₀₉	C₂×C₄	semidirect
269. C₂×C₂²⋊C₄×C₁₀₉	C₂×C₄	semidirect
270. C₂×C₂²⋊C₄×C₁₀₉	C₂×C₄	semidirect
389. C₂×Q₈×C₁₀₉	C₂²×C₄	semidirect
449. C₂²×C₄×C₁₀₉	C₂²×C₄	semidirect
500. C₄⋊C₄×C₁₀₉	C₂²×C₄	semidirect
501. C₄⋊C₄×C₁₀₉	C₂²×C₄	semidirect
502. C₄⋊C₄×C₁₀₉	C₂²×C₄	semidirect
503. C₄⋊C₄×C₁₀₉	C₂²×C₄	semidirect
504. C₄⋊C₄×C₁₀₉	C₂²×C₄	semidirect
505. C₄⋊C₄×C₁₀₉	C₂²×C₄	semidirect
506. C₄⋊C₄×C₁₀₉	C₂²×C₄	semidirect
507. C₄⋊C₄×C₁₀₉	C₂²×C₄	semidirect
538. C₂²⋊C₄×C₁₀₉	C₂²×C₄	semidirect
539. C₂²⋊C₄×C₁₀₉	C₂²×C₄	semidirect
540. C₂²⋊C₄×C₁₀₉	C₂²×C₄	semidirect
564. C₄²×C₁₀₉	C₂²×C₄	semidirect
565. C₄²×C₁₀₉	C₂²×C₄	semidirect
566. C₄²×C₁₀₉	C₂²×C₄	semidirect
768. #34296	C₁₀₉	direct (N × H)
781. #2373	C₂×C₁₀₉	semidirect
782. #2373	C₂×C₁₀₉	semidirect
783. #2368	C₂×C₁₀₉	semidirect
784. #2367	C₂×C₁₀₉	semidirect
785. #2360	C₂×C₁₀₉	semidirect
786. #2359	C₂×C₁₀₉	semidirect
787. #2359	C₂×C₁₀₉	semidirect
788. #2359	C₂×C₁₀₉	semidirect
790. #2352	C₂×C₁₀₉	semidirect
791. #2349	C₂×C₁₀₉	semidirect
792. #2343	C₂×C₁₀₉	semidirect
793. #2343	C₂×C₁₀₉	semidirect
794. #2342	C₂×C₁₀₉	semidirect
795. #2342	C₂×C₁₀₉	semidirect
796. #2337	C₂×C₁₀₉	semidirect
797. #2335	C₂×C₁₀₉	semidirect
798. #2334	C₂×C₁₀₉	semidirect
799. #2334	C₂×C₁₀₉	semidirect
800. #2329	C₂×C₁₀₉	semidirect
801. #2322	C₂×C₁₀₉	semidirect
802. C₄×C₂²⋊Q₈	C₂×C₁₀₉	semidirect
803. C₄×#123	C₂×C₁₀₉	semidirect
805. #2296	C₂×C₁₀₉	semidirect
806. #2290	C₂×C₁₀₉	semidirect
807. C₂×#385	C₂×C₁₀₉	semidirect
808. #2275	C₂×C₁₀₉	semidirect
809. #2274	C₂×C₁₀₉	semidirect
810. C₂×C₄×C₂²⋊C₄	C₂×C₁₀₉	semidirect
811. C₁₀₉	#34296	direct (N × H)
813. #551	C₄×C₁₀₉	semidirect
823. C₂×C₄×Q₈	C₂²×C₁₀₉	semidirect
835. C₂×#117	C₂²×C₁₀₉	semidirect
844. #391	C₂²×C₁₀₉	semidirect
845. #391	C₂²×C₁₀₉	semidirect
846. #391	C₂²×C₁₀₉	semidirect
848. #389	C₂²×C₁₀₉	semidirect
849. #389	C₂²×C₁₀₉	semidirect
850. #389	C₂²×C₁₀₉	semidirect
851. #389	C₂²×C₁₀₉	semidirect
852. #389	C₂²×C₁₀₉	semidirect
853. #389	C₂²×C₁₀₉	semidirect
854. #389	C₂²×C₁₀₉	semidirect
855. #389	C₂²×C₁₀₉	semidirect
866. #388	C₂²×C₁₀₉	semidirect
867. #388	C₂²×C₁₀₉	semidirect
868. #388	C₂²×C₁₀₉	semidirect
869. #388	C₂²×C₁₀₉	semidirect
870. #388	C₂²×C₁₀₉	semidirect
871. #388	C₂²×C₁₀₉	semidirect
872. #387	C₂²×C₁₀₉	semidirect
873. #387	C₂²×C₁₀₉	semidirect
874. #387	C₂²×C₁₀₉	semidirect
875. #387	C₂²×C₁₀₉	semidirect
876. #387	C₂²×C₁₀₉	semidirect
877. #387	C₂²×C₁₀₉	semidirect
878. #387	C₂²×C₁₀₉	semidirect
879. #387	C₂²×C₁₀₉	semidirect
880. #387	C₂²×C₁₀₉	semidirect
881. #387	C₂²×C₁₀₉	semidirect
882. #387	C₂²×C₁₀₉	semidirect
883. #387	C₂²×C₁₀₉	semidirect
884. #387	C₂²×C₁₀₉	semidirect
885. #387	C₂²×C₁₀₉	semidirect
886. #387	C₂²×C₁₀₉	semidirect
887. #387	C₂²×C₁₀₉	semidirect
911. #385	C₂²×C₁₀₉	semidirect
912. #385	C₂²×C₁₀₉	semidirect
913. #385	C₂²×C₁₀₉	semidirect
914. #383	C₂²×C₁₀₉	semidirect
915. #382	C₂²×C₁₀₉	semidirect
916. #382	C₂²×C₁₀₉	semidirect
921. #380	C₂²×C₁₀₉	semidirect
923. C₄×C₄⋊C₄	C₂²×C₁₀₉	semidirect
924. C₄×C₄⋊C₄	C₂²×C₁₀₉	semidirect
925. C₄×C₄⋊C₄	C₂²×C₁₀₉	semidirect
926. C₄×C₄⋊C₄	C₂²×C₁₀₉	semidirect
927. C₄×C₄⋊C₄	C₂²×C₁₀₉	semidirect
928. C₄×C₄⋊C₄	C₂²×C₁₀₉	semidirect
929. C₄×C₄⋊C₄	C₂²×C₁₀₉	semidirect
930. C₄×C₄⋊C₄	C₂²×C₁₀₉	semidirect
931. C₄×C₄⋊C₄	C₂²×C₁₀₉	semidirect
932. C₄×C₄⋊C₄	C₂²×C₁₀₉	semidirect
933. C₄×C₄⋊C₄	C₂²×C₁₀₉	semidirect
934. C₄×C₄⋊C₄	C₂²×C₁₀₉	semidirect
935. C₄×C₄⋊C₄	C₂²×C₁₀₉	semidirect
936. C₄×C₄⋊C₄	C₂²×C₁₀₉	semidirect
937. C₄×C₄⋊C₄	C₂²×C₁₀₉	semidirect
957. C₄×C₂²⋊C₄	C₂²×C₁₀₉	semidirect
958. C₄×C₂²⋊C₄	C₂²×C₁₀₉	semidirect
959. C₄×C₂²⋊C₄	C₂²×C₁₀₉	semidirect
960. C₄×C₂²⋊C₄	C₂²×C₁₀₉	semidirect
961. #376	C₂²×C₁₀₉	semidirect
962. #376	C₂²×C₁₀₉	semidirect
967. C₂×#95	C₂²×C₁₀₉	semidirect
993. #126	C₂×C₄×C₁₀₉	semidirect
994. #126	C₂×C₄×C₁₀₉	semidirect
995. #124	C₂×C₄×C₁₀₉	semidirect
996. #123	C₂×C₄×C₁₀₉	semidirect
997. #123	C₂×C₄×C₁₀₉	semidirect
998. #123	C₂×C₄×C₁₀₉	semidirect
999. C₂²⋊Q₈	C₂×C₄×C₁₀₉	semidirect
1000. C₂²⋊Q₈	C₂×C₄×C₁₀₉	semidirect
1008. C₄×D₄	C₂×C₄×C₁₀₉	semidirect
1009. C₄×D₄	C₂×C₄×C₁₀₉	semidirect
1013. #117	C₂×C₄×C₁₀₉	semidirect
1014. #117	C₂×C₄×C₁₀₉	semidirect
1049. C₂×C₂²⋊C₄	C₂×C₄×C₁₀₉	semidirect
1050. C₂×C₂²⋊C₄	C₂×C₄×C₁₀₉	semidirect
1169. C₂×Q₈	C₂²×C₄×C₁₀₉	semidirect
1229. C₂²×C₄	C₂²×C₄×C₁₀₉	semidirect
1280. C₄⋊C₄	C₂²×C₄×C₁₀₉	semidirect
1281. C₄⋊C₄	C₂²×C₄×C₁₀₉	semidirect
1282. C₄⋊C₄	C₂²×C₄×C₁₀₉	semidirect
1283. C₄⋊C₄	C₂²×C₄×C₁₀₉	semidirect
1284. C₄⋊C₄	C₂²×C₄×C₁₀₉	semidirect
1285. C₄⋊C₄	C₂²×C₄×C₁₀₉	semidirect
1286. C₄⋊C₄	C₂²×C₄×C₁₀₉	semidirect
1287. C₄⋊C₄	C₂²×C₄×C₁₀₉	semidirect
1318. C₂²⋊C₄	C₂²×C₄×C₁₀₉	semidirect
1319. C₂²⋊C₄	C₂²×C₄×C₁₀₉	semidirect
1320. C₂²⋊C₄	C₂²×C₄×C₁₀₉	semidirect
1344. C₄²	C₂²×C₄×C₁₀₉	semidirect
1345. C₄²	C₂²×C₄×C₁₀₉	semidirect
1346. C₄²	C₂²×C₄×C₁₀₉	semidirect

Maximal subgroups

By isomorphism type — maximal subgroups of the same type appear once, whether or not they are normal.

subgroup	index
C₂×#551×C₁₀₉	2
C₁₀₉×#2373	2
C₁₀₉×#2368	2
C₁₀₉×#2367	2
C₁₀₉×#2360	2
C₁₀₉×#2359	2
C₁₀₉×#2358	2
C₁₀₉×#2352	2
C₁₀₉×#2349	2
C₁₀₉×#2343	2
C₁₀₉×#2342	2
C₁₀₉×#2337	2
C₁₀₉×#2335	2
C₁₀₉×#2334	2
C₁₀₉×#2329	2
C₁₀₉×#2322	2
C₄×C₂²⋊Q₈×C₁₀₉	2
C₄×#123×C₁₀₉	2
C₄×#120×C₁₀₉	2
C₁₀₉×#2296	2
C₁₀₉×#2290	2
C₂×#385×C₁₀₉	2
C₁₀₉×#2275	2
C₁₀₉×#2274	2
C₂×C₄×C₂²⋊C₄×C₁₀₉	2
#34296	109

Subgroups — C109×#34296 #42152290

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₁₀₉×#34296 #42152290