Subgroups — C₂×#13129315 #16770626

Order 3328.

6446 conjugacy classes of subgroups.

The subgroup lattice has 1772 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129315	C₂	1	32	yes	maximal, direct product factor
2	C₂×#11719356	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#11719351	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#11719351	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11719427	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#11719390	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#11719390	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#11719426	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#11719346	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#11719376	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#11719407	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#11719407	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#11719407	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#11719341	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#11719355	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#11719413	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#11719328	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#11719434	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#11719367	C₂	1	1	yes	maximal, characteristic
20	C₂×#11719374	C₂	1	1	yes	maximal, characteristic
21	C₂×#11719436	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#11719330	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#11719401	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#11719401	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#11719406	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#11719406	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#11719406	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#11719406	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11719327	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#11719327	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#11719354	C₂	1	1	yes	maximal, characteristic
32	C₂×C₁₃×#563	C₂	1	1	yes	maximal, characteristic, complemented
33	C₁₃×#563	C₂²	1	16	yes	complemented
34	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×#126	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
42	C₂×C₁₃×#124	C₂²	1	1	yes	characteristic
43	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
44	C₂×C₁₃×#123	C₂²	1	1	yes	characteristic
45	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
46	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
47	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
48	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
49	C₂×#88200	C₂²	1	1	yes	characteristic
50	C₂×#88200	C₂²	1	1	yes	characteristic
51	C₂×#88200	C₂²	1	1	yes	characteristic
52	C₂×Q₈×Dic₁₃	C₂²	1	1	yes	characteristic
53	C₂×Q₈×Dic₁₃	C₂²	1	1	yes	characteristic
54	C₂×Q₈×Dic₁₃	C₂²	1	1	yes	characteristic
55	C₂×#88198	C₂²	1	1	yes	characteristic
56	C₂×#88198	C₂²	1	1	yes	characteristic
57	C₂×#88198	C₂²	1	1	yes	characteristic
58	C₂×#88198	C₂²	1	1	yes	characteristic
59	C₂×#88198	C₂²	1	1	yes	characteristic
60	C₂×#88198	C₂²	1	1	yes	characteristic
61	C₂×#88193	C₂²	1	1	yes	characteristic
62	C₂×#88190	C₂²	1	1	yes	characteristic
63	C₂×#88189	C₂²	1	1	yes	characteristic
64	C₂×D₄×Dic₁₃	C₂²	1	1	yes	characteristic
65	C₂×#88183	C₂²	1	1	yes	characteristic
66	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
67	C₂×#88180	C₂²	1	1	yes	characteristic
68	C₂×#88178	C₂²	1	1	yes	characteristic
69	C₂×#88178	C₂²	1	1	yes	characteristic
70	C₂×#88178	C₂²	1	1	yes	characteristic
71	C₂²×#6101	C₂²	1	1	yes	characteristic
72	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic
73	#11719436	C₂²	1	16	yes	complemented
74	#11719434	C₂²	1	16	yes	complemented
75	#11719427	C₂²	1	16	yes	complemented
76	#11719426	C₂²	1	16	yes	complemented
77	#11719413	C₂²	1	16	yes	complemented
78	#11719407	C₂²	1	16	yes	complemented
79	#11719407	C₂²	1	16	yes	complemented
80	#11719407	C₂²	1	16	yes	complemented
81	#11719406	C₂²	1	16	yes	complemented
82	#11719406	C₂²	1	16	yes	complemented
83	#11719406	C₂²	1	16	yes	complemented
84	#11719406	C₂²	1	16	yes	complemented
85	#11719401	C₂²	1	16	yes	complemented
86	#11719401	C₂²	1	16	yes	complemented
87	#11719390	C₂²	1	16	yes	complemented
88	#11719390	C₂²	1	16	yes	complemented
89	#11719376	C₂²	1	16	yes	complemented
90	#11719374	C₂²	1	16	yes	—
91	#11719367	C₂²	1	16	yes	—
92	#11719356	C₂²	1	16	yes	complemented
93	#11719355	C₂²	1	16	yes	complemented
94	#11719354	C₂²	1	16	yes	—
95	#11719351	C₂²	1	16	yes	complemented
96	#11719351	C₂²	1	16	yes	complemented
97	#11719346	C₂²	1	16	yes	complemented
98	#11719341	C₂²	1	16	yes	complemented
99	#11719330	C₂²	1	16	yes	complemented
100	#11719328	C₂²	1	16	yes	complemented
101	#11719327	C₂²	1	16	yes	complemented
102	#11719327	C₂²	1	16	yes	complemented
103	C₂×#88152	C₂²	1	1	yes	characteristic
104	C₂×#88152	C₂²	1	1	yes	characteristic
105	C₂×#88152	C₂²	1	1	yes	characteristic
106	C₂×#88152	C₂²	1	1	yes	characteristic
107	C₂×#88152	C₂²	1	1	yes	characteristic
108	C₂×#88152	C₂²	1	1	yes	characteristic
109	C₂×#88152	C₂²	1	1	yes	characteristic
110	C₂×#88152	C₂²	1	1	yes	characteristic
111	C₂×#88150	C₂²	1	1	yes	characteristic
112	C₂×#88150	C₂²	1	1	yes	characteristic
113	C₂×#88150	C₂²	1	1	yes	characteristic
114	C₂×#88150	C₂²	1	1	yes	characteristic
115	C₂×#88150	C₂²	1	1	yes	characteristic
116	C₂×#88146	C₂²	1	1	yes	characteristic
117	C₂×#88146	C₂²	1	1	yes	characteristic
118	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
119	C₂×#88144	C₂²	1	1	yes	characteristic
120	C₂×#88144	C₂²	1	1	yes	characteristic
121	C₂×#88144	C₂²	1	1	yes	characteristic
122	C₂×#88144	C₂²	1	1	yes	characteristic
123	C₂×#88144	C₂²	1	1	yes	characteristic
124	C₂×#88144	C₂²	1	1	yes	characteristic
125	C₂×#88143	C₂²	1	1	yes	characteristic
126	C₂×#88143	C₂²	1	1	yes	characteristic
127	C₂×#88143	C₂²	1	1	yes	characteristic
128	C₂×#88143	C₂²	1	1	yes	characteristic
129	C₂×#88143	C₂²	1	1	yes	characteristic
130	C₂×#88143	C₂²	1	1	yes	characteristic
131	C₂×#88143	C₂²	1	1	yes	characteristic
132	C₂×#88143	C₂²	1	1	yes	characteristic
133	C₂×#88143	C₂²	1	1	yes	characteristic
134	C₂×#88143	C₂²	1	1	yes	characteristic
135	C₂×#88143	C₂²	1	1	yes	characteristic
136	C₂×#88143	C₂²	1	1	yes	characteristic
137	C₂×#88143	C₂²	1	1	yes	characteristic
138	C₂×#88143	C₂²	1	1	yes	characteristic
139	C₂×#88143	C₂²	1	1	yes	characteristic
140	C₂×#88143	C₂²	1	1	yes	characteristic
141	C₂×#88143	C₂²	1	1	yes	characteristic
142	C₂×#88143	C₂²	1	1	yes	characteristic
143	C₂×#88143	C₂²	1	1	yes	characteristic
144	C₂×#88142	C₂²	1	1	yes	characteristic
145	C₂×#88142	C₂²	1	1	yes	characteristic
146	C₂×#88142	C₂²	1	1	yes	characteristic
147	C₂×#88142	C₂²	1	1	yes	characteristic
148	C₂×#88142	C₂²	1	1	yes	characteristic
149	C₂×#88142	C₂²	1	1	yes	characteristic
150	C₂×#88142	C₂²	1	1	yes	characteristic
151	C₂×#88142	C₂²	1	1	yes	characteristic
152	C₂×#88142	C₂²	1	1	yes	characteristic
153	C₂×#88142	C₂²	1	1	yes	characteristic
154	C₂×#88141	C₂²	1	1	yes	characteristic
155	C₂×#88141	C₂²	1	1	yes	characteristic
156	C₂×#88141	C₂²	1	1	yes	characteristic
157	C₂×#88141	C₂²	1	1	yes	characteristic
158	C₂×#88141	C₂²	1	1	yes	characteristic
159	C₂×#88141	C₂²	1	1	yes	characteristic
160	C₂×#88141	C₂²	1	1	yes	characteristic
161	C₂×#88141	C₂²	1	1	yes	characteristic
162	C₂×#88141	C₂²	1	1	yes	characteristic
163	C₂×#88141	C₂²	1	1	yes	characteristic
164	C₂×#88141	C₂²	1	1	yes	characteristic
165	C₂×#88141	C₂²	1	1	yes	characteristic
166	C₂×#88141	C₂²	1	1	yes	characteristic
167	C₂×#88139	C₂²	1	1	yes	characteristic
168	C₂×#88139	C₂²	1	1	yes	characteristic
169	C₂×#88139	C₂²	1	1	yes	characteristic
170	C₂×#88139	C₂²	1	1	yes	characteristic
171	C₂×#88139	C₂²	1	1	yes	characteristic
172	C₂×#88137	C₂²	1	1	yes	characteristic
173	C₂×#88137	C₂²	1	1	yes	characteristic
174	C₂×#88135	C₂²	1	1	yes	characteristic
175	C₂×#88135	C₂²	1	1	yes	characteristic
176	C₂×#88135	C₂²	1	1	yes	characteristic
177	C₂×#88133	C₂²	1	1	yes	characteristic
178	C₂×#88133	C₂²	1	1	yes	characteristic
179	C₂×#88133	C₂²	1	1	yes	characteristic
180	C₂×#88133	C₂²	1	1	yes	characteristic
181	C₂×#88133	C₂²	1	1	yes	characteristic
182	C₂×#88133	C₂²	1	1	yes	characteristic
183	C₂×#88133	C₂²	1	1	yes	characteristic
184	C₂×#88133	C₂²	1	1	yes	characteristic
185	C₂×#88133	C₂²	1	1	yes	characteristic
186	C₂×#88133	C₂²	1	1	yes	characteristic
187	C₂×#88133	C₂²	1	1	yes	characteristic
188	C₂×#88133	C₂²	1	1	yes	characteristic
189	C₂×#88133	C₂²	1	1	yes	characteristic
190	C₂×#88132	C₂²	1	1	yes	characteristic
191	C₂×#88132	C₂²	1	1	yes	characteristic
192	C₂×#88132	C₂²	1	1	yes	characteristic
193	C₂×#88132	C₂²	1	1	yes	characteristic
194	C₂×#88132	C₂²	1	1	yes	characteristic
195	C₂×#88132	C₂²	1	1	yes	characteristic
196	C₂×#88132	C₂²	1	1	yes	characteristic
197	C₂×#88132	C₂²	1	1	yes	characteristic
198	C₂×#88132	C₂²	1	1	yes	characteristic
199	C₂×#88132	C₂²	1	1	yes	characteristic
200	C₂×#88131	C₂²	1	1	yes	characteristic
201	C₂×#88131	C₂²	1	1	yes	characteristic
202	C₂×#88131	C₂²	1	1	yes	characteristic
203	C₂×#88131	C₂²	1	1	yes	characteristic
204	C₂×#88131	C₂²	1	1	yes	characteristic
205	C₂×#88131	C₂²	1	1	yes	characteristic
206	C₂×#88131	C₂²	1	1	yes	characteristic
207	C₂×#88130	C₂²	1	1	yes	characteristic
208	C₂×#88126	C₂²	1	1	yes	characteristic
209	C₂×#88126	C₂²	1	1	yes	characteristic
210	C₂×#88124	C₂²	1	1	yes	characteristic
211	C₂×#88124	C₂²	1	1	yes	characteristic
212	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
213	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
214	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
215	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
216	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
217	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
218	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
219	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
220	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
221	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
222	C₂²×D₄×C₁₃	C₂³	1	1	yes	characteristic
223	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
224	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
225	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
226	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
227	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
228	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
229	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
230	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
231	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
232	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
233	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
234	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
235	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
236	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
237	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
238	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
239	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
240	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
241	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
242	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
243	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
244	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
245	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
246	C₁₃×#126	C₂³	1	8	yes	—
247	C₁₃×#126	C₂³	1	8	yes	—
248	C₁₃×#126	C₂³	1	8	yes	—
249	C₁₃×#126	C₂³	1	8	yes	—
250	C₁₃×#125	C₂³	1	8	yes	—
251	C₁₃×#125	C₂³	1	8	yes	—
252	C₁₃×#124	C₂³	1	8	yes	—
253	C₁₃×#123	C₂³	1	8	yes	—
254	C₁₃×#123	C₂³	1	8	yes	—
255	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
256	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
257	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
258	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
259	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
286	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
287	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
291	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
294	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
298	#88200	C₂³	1	8	yes	—
299	#88200	C₂³	1	8	yes	—
300	#88200	C₂³	1	8	yes	—
301	Q₈×Dic₁₃	C₂³	1	8	yes	—
302	Q₈×Dic₁₃	C₂³	1	8	yes	—
303	Q₈×Dic₁₃	C₂³	1	8	yes	—
304	#88198	C₂³	1	8	yes	—
305	#88198	C₂³	1	8	yes	—
306	#88198	C₂³	1	8	yes	—
307	#88198	C₂³	1	8	yes	—
308	#88198	C₂³	1	8	yes	—
309	#88198	C₂³	1	8	yes	—
310	#88193	C₂³	1	8	yes	—
311	#88190	C₂³	1	8	yes	—
312	#88189	C₂³	1	8	yes	—
313	D₄×Dic₁₃	C₂³	1	8	yes	—
314	#88183	C₂³	1	8	yes	—
315	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
316	C₂×#6103	C₂³	1	1	yes	characteristic
317	C₂×#6103	C₂³	1	1	yes	characteristic
318	C₂×#6103	C₂³	1	1	yes	characteristic
319	C₂×#6103	C₂³	1	1	yes	characteristic
320	C₂×#6103	C₂³	1	1	yes	characteristic
321	C₂×#6103	C₂³	1	1	yes	characteristic
322	C₂×#6103	C₂³	1	1	yes	characteristic
323	C₂×#6103	C₂³	1	1	yes	characteristic
324	C₂×#6103	C₂³	1	1	yes	characteristic
325	C₂×#6103	C₂³	1	1	yes	characteristic
326	#88180	C₂³	1	8	yes	—
327	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
328	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
329	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
330	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
331	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
333	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
337	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
342	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
343	#88178	C₂³	1	8	yes	—
344	#88178	C₂³	1	8	yes	—
345	#88178	C₂³	1	8	yes	—
346	C₂×#6101	C₂³	1	1	yes	characteristic
347	C₂×#6101	C₂³	1	1	yes	characteristic
348	C₂×#6101	C₂³	1	1	yes	characteristic
349	C₂×#6101	C₂³	1	1	yes	characteristic
350	C₂×#6101	C₂³	1	1	yes	characteristic
351	C₂×#6101	C₂³	1	1	yes	characteristic
352	C₂×#6101	C₂³	1	1	yes	characteristic
353	C₂×#6101	C₂³	1	1	yes	characteristic
354	C₂×#6101	C₂³	1	1	yes	characteristic
355	C₂×#6101	C₂³	1	1	yes	characteristic
356	C₂×#6101	C₂³	1	1	yes	characteristic
357	C₂×#6101	C₂³	1	1	yes	characteristic
358	C₂×#6101	C₂³	1	1	yes	characteristic
359	C₂×#6101	C₂³	1	1	yes	characteristic
360	C₂×#6101	C₂³	1	1	yes	characteristic
361	C₂×#6101	C₂³	1	1	yes	characteristic
362	C₂×#6101	C₂³	1	1	yes	characteristic
363	C₂×#6101	C₂³	1	1	yes	characteristic
364	C₂×#6101	C₂³	1	1	yes	characteristic
365	C₂×#6101	C₂³	1	1	yes	characteristic
366	C₂×#6101	C₂³	1	1	yes	characteristic
367	C₂×#6101	C₂³	1	1	yes	characteristic
368	C₂×#6101	C₂³	1	1	yes	characteristic
369	C₂×#6101	C₂³	1	1	yes	characteristic
370	C₂×#6101	C₂³	1	1	yes	characteristic
371	C₂×#6101	C₂³	1	1	yes	characteristic
372	C₂×#6101	C₂³	1	1	yes	characteristic
373	C₂×#6101	C₂³	1	1	yes	characteristic
374	C₂×#6101	C₂³	1	1	yes	characteristic
375	C₂×#6101	C₂³	1	1	yes	characteristic
376	C₂×#6101	C₂³	1	1	yes	characteristic
377	C₂×#6101	C₂³	1	1	yes	characteristic
378	C₂×#6101	C₂³	1	1	yes	characteristic
379	C₂×#6101	C₂³	1	1	yes	characteristic
380	C₂×#6101	C₂³	1	1	yes	characteristic
381	C₂×#6101	C₂³	1	1	yes	characteristic
382	C₂×#6101	C₂³	1	1	yes	characteristic
383	C₂×#6101	C₂³	1	1	yes	characteristic
384	C₂×#6101	C₂³	1	1	yes	characteristic
385	C₂×#6101	C₂³	1	1	yes	characteristic
386	C₂×#6101	C₂³	1	1	yes	characteristic
387	C₂×#6101	C₂³	1	1	yes	characteristic
388	C₂×#6101	C₂³	1	8	yes	—
389	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
390	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
391	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
392	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
393	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
394	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
395	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
396	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
397	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
398	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
399	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
400	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
401	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
402	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
403	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
404	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
405	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
406	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
407	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
408	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
409	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
410	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
411	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
412	C₂×C₄×Dic₁₃	C₂³	1	8	yes	—
413	#88152	C₂³	1	8	yes	—
414	#88152	C₂³	1	8	yes	—
415	#88152	C₂³	1	8	yes	—
416	#88152	C₂³	1	8	yes	—
417	#88152	C₂³	1	8	yes	—
418	#88152	C₂³	1	8	yes	—
419	#88152	C₂³	1	8	yes	—
420	#88152	C₂³	1	8	yes	—
421	#88150	C₂³	1	8	yes	—
422	#88150	C₂³	1	8	yes	—
423	#88150	C₂³	1	8	yes	—
424	#88150	C₂³	1	8	yes	—
425	#88150	C₂³	1	8	yes	—
426	#88146	C₂³	1	8	yes	—
427	#88146	C₂³	1	8	yes	—
428	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
429	#88144	C₂³	1	8	yes	—
430	#88144	C₂³	1	8	yes	—
431	#88144	C₂³	1	8	yes	—
432	#88144	C₂³	1	8	yes	—
433	#88144	C₂³	1	8	yes	—
434	#88144	C₂³	1	8	yes	—
435	#88143	C₂³	1	8	yes	—
436	#88143	C₂³	1	8	yes	—
437	#88143	C₂³	1	8	yes	—
438	#88143	C₂³	1	8	yes	—
439	#88143	C₂³	1	8	yes	—
440	#88143	C₂³	1	8	yes	—
441	#88143	C₂³	1	8	yes	—
442	#88143	C₂³	1	8	yes	—
443	#88143	C₂³	1	8	yes	—
444	#88143	C₂³	1	8	yes	—
445	#88143	C₂³	1	8	yes	—
446	#88143	C₂³	1	8	yes	—
447	#88143	C₂³	1	8	yes	—
448	#88143	C₂³	1	8	yes	—
449	#88143	C₂³	1	8	yes	—
450	#88143	C₂³	1	8	yes	—
451	#88143	C₂³	1	8	yes	—
452	#88143	C₂³	1	8	yes	—
453	#88143	C₂³	1	8	yes	—
454	#88142	C₂³	1	8	yes	—
455	#88142	C₂³	1	8	yes	—
456	#88142	C₂³	1	8	yes	—
457	#88142	C₂³	1	8	yes	—
458	#88142	C₂³	1	8	yes	—
459	#88142	C₂³	1	8	yes	—
460	#88142	C₂³	1	8	yes	—
461	#88142	C₂³	1	8	yes	—
462	#88142	C₂³	1	8	yes	—
463	#88142	C₂³	1	8	yes	—
464	#88141	C₂³	1	8	yes	—
465	#88141	C₂³	1	8	yes	—
466	#88141	C₂³	1	8	yes	—
467	#88141	C₂³	1	8	yes	—
468	#88141	C₂³	1	8	yes	—
469	#88141	C₂³	1	8	yes	—
470	#88141	C₂³	1	8	yes	—
471	#88141	C₂³	1	8	yes	—
472	#88141	C₂³	1	8	yes	—
473	#88141	C₂³	1	8	yes	—
474	#88141	C₂³	1	8	yes	—
475	#88141	C₂³	1	8	yes	—
476	#88141	C₂³	1	8	yes	—
477	#88139	C₂³	1	8	yes	—
478	#88139	C₂³	1	8	yes	—
479	#88139	C₂³	1	8	yes	—
480	#88139	C₂³	1	8	yes	—
481	#88139	C₂³	1	8	yes	—
482	#88137	C₂³	1	8	yes	—
483	#88137	C₂³	1	8	yes	—
484	#88135	C₂³	1	8	yes	—
485	#88135	C₂³	1	8	yes	—
486	#88135	C₂³	1	8	yes	—
487	#88133	C₂³	1	8	yes	—
488	#88133	C₂³	1	8	yes	—
489	#88133	C₂³	1	8	yes	—
490	#88133	C₂³	1	8	yes	—
491	#88133	C₂³	1	8	yes	—
492	#88133	C₂³	1	8	yes	—
493	#88133	C₂³	1	8	yes	—
494	#88133	C₂³	1	8	yes	—
495	#88133	C₂³	1	8	yes	—
496	#88133	C₂³	1	8	yes	—
497	#88133	C₂³	1	8	yes	—
498	#88133	C₂³	1	8	yes	—
499	#88133	C₂³	1	8	yes	—
500	#88132	C₂³	1	8	yes	—
501	#88132	C₂³	1	8	yes	—
502	#88132	C₂³	1	8	yes	—
503	#88132	C₂³	1	8	yes	—
504	#88132	C₂³	1	8	yes	—
505	#88132	C₂³	1	8	yes	—
506	#88132	C₂³	1	8	yes	—
507	#88132	C₂³	1	8	yes	—
508	#88132	C₂³	1	8	yes	—
509	#88132	C₂³	1	8	yes	—
510	#88131	C₂³	1	8	yes	—
511	#88131	C₂³	1	8	yes	—
512	#88131	C₂³	1	8	yes	—
513	#88131	C₂³	1	8	yes	—
514	#88131	C₂³	1	8	yes	—
515	#88131	C₂³	1	8	yes	—
516	#88131	C₂³	1	8	yes	—
517	#88130	C₂³	1	8	yes	—
518	#88126	C₂³	1	8	yes	—
519	#88126	C₂³	1	8	yes	—
520	#88124	C₂³	1	8	yes	—
521	#88124	C₂³	1	8	yes	—
522	C₄×Dic₂₆	C₂³	1	8	yes	—
523	C₄×Dic₂₆	C₂³	1	8	yes	—
524	C₄×Dic₂₆	C₂³	1	8	yes	—
525	C₄×Dic₂₆	C₂³	1	8	yes	—
526	C₄×Dic₂₆	C₂³	1	8	yes	—
527	C₄×Dic₂₆	C₂³	1	8	yes	—
528	C₄×Dic₂₆	C₂³	1	8	yes	—
529	C₂×#3555	—	13	1	no	maximal, Sylow
530	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
531	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
532	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
533	C₂×Q₈×C₁₃	—	4	2	no	—
534	C₂×Q₈×C₁₃	—	4	2	no	—
535	C₂×Q₈×C₁₃	—	4	2	no	—
536	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
537	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
538	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
539	C₂×D₄×C₁₃	—	4	2	no	—
540	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
541	C₂²×C₄×C₁₃	—	4	2	no	—
542	C₂²×C₄×C₁₃	—	4	2	no	—
543	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
544	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
545	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
546	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
547	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
548	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
549	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
550	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
551	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
552	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
553	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
554	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
555	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
556	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
557	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
558	C₂×C₂²⋊D₁₃	—	2	4	no	—
559	C₂×C₂²⋊D₁₃	—	4	2	no	—
560	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
561	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
562	C₂²×Dic₁₃	—	2	4	no	—
563	C₂²×Dic₁₃	—	2	4	no	—
564	C₂²×Dic₁₃	—	2	4	no	—
565	C₂²×Dic₁₃	—	4	2	no	—
566	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
567	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
568	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
569	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
570	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
571	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
572	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
573	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
574	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
575	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
576	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
577	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
578	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
579	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
580	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
581	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
582	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
583	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
584	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
585	C₂×C₄×D₁₃	—	2	4	no	—
586	C₂×C₄×D₁₃	—	4	2	no	—
587	C₂×C₄×D₁₃	—	4	2	no	—
588	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
589	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
590	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
591	C₂×Dic₂₆	—	2	4	no	—
592	C₂×Dic₂₆	—	2	4	no	—
593	C₂×Dic₂₆	—	2	4	no	—
594	C₂×Dic₂₆	—	2	4	no	—
595	C₂×Dic₂₆	—	2	4	no	—
596	C₂×Dic₂₆	—	4	2	no	—
597	C₂×Dic₂₆	—	4	2	no	—
598	C₂×Dic₂₆	—	4	2	no	—
599	C₂×Dic₂₆	—	4	2	no	—
600	C₂×Dic₂₆	—	4	2	no	—
601	C₂×Dic₂₆	C₂⁴	1	4	yes	—
602	C₂×Dic₂₆	C₂⁴	1	4	yes	—
603	C₂×Dic₂₆	C₂⁴	1	4	yes	—
604	C₂×Dic₂₆	C₂⁴	1	4	yes	—
605	C₂×Dic₂₆	C₂⁴	1	4	yes	—
606	C₂×Dic₂₆	C₂⁴	1	4	yes	—
607	C₂×Dic₂₆	C₂⁴	1	4	yes	—
608	C₂×Dic₂₆	C₂⁴	1	4	yes	—
609	C₂×Dic₂₆	C₂⁴	1	4	yes	—
610	C₂×Dic₂₆	C₂⁴	1	4	yes	—
611	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
612	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
613	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
614	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
615	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
616	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
617	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
618	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
619	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
620	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
621	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
622	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
623	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
624	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
625	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
626	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
627	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
628	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
629	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
630	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
631	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
632	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
633	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
634	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
635	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
636	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
637	C₄²×C₁₃	C₂⁴	1	4	yes	—
638	C₄²×C₁₃	C₂⁴	1	4	yes	—
639	C₄²×C₁₃	C₂⁴	1	4	yes	—
640	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
641	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
642	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
643	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
644	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
645	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
646	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
647	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
648	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
649	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
650	#6103	C₂⁴	1	4	yes	—
651	#6103	C₂⁴	1	4	yes	—
652	#6103	C₂⁴	1	4	yes	—
653	#6103	C₂⁴	1	4	yes	—
654	#6103	C₂⁴	1	4	yes	—
655	#6103	C₂⁴	1	4	yes	—
656	#6103	C₂⁴	1	4	yes	—
657	#6103	C₂⁴	1	4	yes	—
658	#6103	C₂⁴	1	4	yes	—
659	#6103	C₂⁴	1	4	yes	—
660	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
661	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
662	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
663	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
664	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
665	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
666	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
667	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
668	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
669	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
670	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
671	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
672	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
673	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
674	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
675	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
676	#6101	C₂⁴	1	4	yes	—
677	#6101	C₂⁴	1	4	yes	—
678	#6101	C₂⁴	1	4	yes	—
679	#6101	C₂⁴	1	4	yes	—
680	#6101	C₂⁴	1	4	yes	—
681	#6101	C₂⁴	1	4	yes	—
682	#6101	C₂⁴	1	4	yes	—
683	#6101	C₂⁴	1	4	yes	—
684	#6101	C₂⁴	1	4	yes	—
685	#6101	C₂⁴	1	4	yes	—
686	#6101	C₂⁴	1	4	yes	—
687	#6101	C₂⁴	1	4	yes	—
688	#6101	C₂⁴	1	4	yes	—
689	#6101	C₂⁴	1	4	yes	—
690	#6101	C₂⁴	1	4	yes	—
691	#6101	C₂⁴	1	4	yes	—
692	#6101	C₂⁴	1	4	yes	—
693	#6101	C₂⁴	1	4	yes	—
694	#6101	C₂⁴	1	4	yes	—
695	#6101	C₂⁴	1	4	yes	—
696	#6101	C₂⁴	1	4	yes	—
697	#6101	C₂⁴	1	4	yes	—
698	#6101	C₂⁴	1	4	yes	—
699	#6101	C₂⁴	1	4	yes	—
700	#6101	C₂⁴	1	4	yes	—
701	#6101	C₂⁴	1	4	yes	—
702	#6101	C₂⁴	1	4	yes	—
703	#6101	C₂⁴	1	4	yes	—
704	#6101	C₂⁴	1	4	yes	—
705	#6101	C₂⁴	1	4	yes	—
706	#6101	C₂⁴	1	4	yes	—
707	#6101	C₂⁴	1	4	yes	—
708	#6101	C₂⁴	1	4	yes	—
709	#6101	C₂⁴	1	4	yes	—
710	#6101	C₂⁴	1	4	yes	—
711	#6101	C₂⁴	1	4	yes	—
712	#6101	C₂⁴	1	4	yes	—
713	#6101	C₂⁴	1	4	yes	—
714	#6101	C₂⁴	1	4	yes	—
715	#6101	C₂⁴	1	4	yes	—
716	#6101	C₂⁴	1	4	yes	—
717	#6101	C₂⁴	1	4	yes	—
718	C₄×Dic₁₃	C₂⁴	1	4	yes	—
719	C₄×Dic₁₃	C₂⁴	1	4	yes	—
720	C₄×Dic₁₃	C₂⁴	1	4	yes	—
721	C₄×Dic₁₃	C₂⁴	1	4	yes	—
722	C₄×Dic₁₃	C₂⁴	1	4	yes	—
723	C₄×Dic₁₃	C₂⁴	1	4	yes	—
724	C₄×Dic₁₃	C₂⁴	1	4	yes	—
725	C₄×Dic₁₃	C₂⁴	1	4	yes	—
726	C₄×Dic₁₃	C₂⁴	1	4	yes	—
727	C₄×Dic₁₃	C₂⁴	1	4	yes	—
728	C₄×Dic₁₃	C₂⁴	1	4	yes	—
729	C₄×Dic₁₃	C₂⁴	1	4	yes	—
730	C₄×Dic₁₃	C₂⁴	1	4	yes	—
731	C₄×Dic₁₃	C₂⁴	1	4	yes	—
732	C₄×Dic₁₃	C₂⁴	1	4	yes	—
733	C₄×Dic₁₃	C₂⁴	1	4	yes	—
734	C₄×Dic₁₃	C₂⁴	1	4	yes	—
735	C₄×Dic₁₃	C₂⁴	1	4	yes	—
736	C₄×Dic₁₃	C₂⁴	1	4	yes	—
737	C₄×Dic₁₃	C₂⁴	1	4	yes	—
738	C₄×Dic₁₃	C₂⁴	1	4	yes	—
739	C₄×Dic₁₃	C₂⁴	1	4	yes	—
740	C₄×Dic₁₃	C₂⁴	1	4	yes	—
741	#3555	—	13	32	no	—
742	C₂×#563	—	13	1	no	—
743	C₂×#563	—	13	1	no	—
744	C₂×#563	—	13	1	no	—
745	C₂×#563	D₁₃	1	1	yes	characteristic, complemented
746	C₂×Q₈²	—	13	1	no	—
747	C₂×#557	—	13	1	no	—
748	C₂×#557	—	13	1	no	—
749	C₂×#557	—	13	1	no	—
750	C₂×#556	—	13	1	no	—
751	C₂×#556	—	13	1	no	—
752	C₂×#556	—	13	1	no	—
753	C₂×#556	—	13	1	no	—
754	C₂×#556	—	13	1	no	—
755	C₂×#554	—	13	1	no	—
756	C₂×#552	—	13	1	no	—
757	C₂×#552	—	13	1	no	—
758	C₂×#544	—	13	1	no	—
759	C₂×#544	—	13	1	no	—
760	C₂×#542	—	13	1	no	—
761	C₂×#542	—	13	1	no	—
762	C₂×#541	—	13	1	no	—
763	C₂×#541	—	13	1	no	—
764	C₂×#541	—	13	1	no	—
765	C₂×#541	—	13	1	no	—
766	C₂×#541	—	13	1	no	—
767	C₂×#541	—	13	1	no	—
768	C₂×#541	—	13	1	no	—
769	C₂×#541	—	13	1	no	—
770	C₂×#533	—	13	1	no	—
771	C₂×#533	—	13	1	no	—
772	C₂×#529	—	13	1	no	—
773	C₂³×C₁₃	—	2	2	no	—
774	C₂³×C₁₃	—	2	2	no	—
775	C₂³×C₁₃	—	2	2	no	—
776	C₂³×C₁₃	—	2	2	no	—
777	C₂³×C₁₃	—	2	2	no	—
778	C₂³×C₁₃	—	2	2	no	—
779	C₂³×C₁₃	C₂⁵	1	2	yes	—
780	C₂³×C₁₃	C₂⁵	1	2	yes	—
781	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
782	C₂²×D₁₃	—	2	2	no	—
783	C₂²×D₁₃	—	2	2	no	—
784	C₂²×D₁₃	—	2	2	no	—
785	C₂²×D₁₃	C₂⁵	1	2	yes	—
786	Q₈×C₁₃	—	4	4	no	—
787	Q₈×C₁₃	—	4	4	no	—
788	Q₈×C₁₃	—	4	4	no	—
789	D₄×C₁₃	—	4	4	no	—
790	C₂×C₄×C₁₃	—	2	2	no	—
791	C₂×C₄×C₁₃	—	2	2	no	—
792	C₂×C₄×C₁₃	—	2	2	no	—
793	C₂×C₄×C₁₃	—	2	2	no	—
794	C₂×C₄×C₁₃	—	2	2	no	—
795	C₂×C₄×C₁₃	—	2	2	no	—
796	C₂×C₄×C₁₃	—	2	2	no	—
797	C₂×C₄×C₁₃	—	2	2	no	—
798	C₂×C₄×C₁₃	—	2	2	no	—
799	C₂×C₄×C₁₃	—	2	2	no	—
800	C₂×C₄×C₁₃	—	2	2	no	—
801	C₂×C₄×C₁₃	—	2	2	no	—
802	C₂×C₄×C₁₃	—	2	2	no	—
803	C₂×C₄×C₁₃	—	4	4	no	—
804	C₂×C₄×C₁₃	—	4	4	no	—
805	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
806	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
807	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
808	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
809	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
810	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
811	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
812	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
813	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
814	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
815	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
816	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
817	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
818	C₂²⋊D₁₃	—	2	8	no	—
819	C₂²⋊D₁₃	—	4	4	no	—
820	C₂×Dic₁₃	—	2	2	no	—
821	C₂×Dic₁₃	—	2	2	no	—
822	C₂×Dic₁₃	—	2	2	no	—
823	C₂×Dic₁₃	—	2	2	no	—
824	C₂×Dic₁₃	—	2	2	no	—
825	C₂×Dic₁₃	—	2	2	no	—
826	C₂×Dic₁₃	—	2	2	no	—
827	C₂×Dic₁₃	—	2	2	no	—
828	C₂×Dic₁₃	—	2	2	no	—
829	C₂×Dic₁₃	—	2	2	no	—
830	C₂×Dic₁₃	—	2	2	no	—
831	C₂×Dic₁₃	—	2	2	no	—
832	C₂×Dic₁₃	—	2	2	no	—
833	C₂×Dic₁₃	—	2	8	no	—
834	C₂×Dic₁₃	—	2	8	no	—
835	C₂×Dic₁₃	—	2	8	no	—
836	C₂×Dic₁₃	—	4	4	no	—
837	C₂×Dic₁₃	2₋¹⁺⁴	1	4	yes	—
838	C₂×Dic₁₃	2₋¹⁺⁴	1	4	yes	—
839	C₂×Dic₁₃	C₂⁵	1	2	yes	—
840	C₂×Dic₁₃	C₂⁵	1	2	yes	—
841	C₂×Dic₁₃	C₂⁵	1	2	yes	—
842	C₂×Dic₁₃	C₂⁵	1	2	yes	—
843	C₂×Dic₁₃	C₂⁵	1	2	yes	—
844	C₂×Dic₁₃	C₂⁵	1	2	yes	—
845	C₂×Dic₁₃	C₂⁵	1	2	yes	—
846	C₂×Dic₁₃	C₂⁵	1	2	yes	—
847	C₂×Dic₁₃	C₂⁵	1	2	yes	—
848	C₂×Dic₁₃	C₂⁵	1	2	yes	—
849	C₂×Dic₁₃	C₂⁵	1	2	yes	—
850	C₂×Dic₁₃	C₂⁵	1	2	yes	—
851	C₂×Dic₁₃	C₂⁵	1	2	yes	—
852	C₂×Dic₁₃	C₂⁵	1	2	yes	—
853	C₂×Dic₁₃	C₂⁵	1	2	yes	—
854	C₄×D₁₃	—	2	8	no	—
855	C₄×D₁₃	—	4	4	no	—
856	C₄×D₁₃	—	4	4	no	—
857	Dic₂₆	—	2	8	no	—
858	Dic₂₆	—	2	8	no	—
859	Dic₂₆	—	2	8	no	—
860	Dic₂₆	—	2	8	no	—
861	Dic₂₆	—	2	8	no	—
862	Dic₂₆	—	4	4	no	—
863	Dic₂₆	—	4	4	no	—
864	Dic₂₆	—	4	4	no	—
865	Dic₂₆	—	4	4	no	—
866	Dic₂₆	—	4	4	no	—
867	#563	—	13	16	no	—
868	#563	—	13	16	no	—
869	#563	—	13	16	no	—
870	#563	C₂×D₁₃	1	16	yes	complemented
871	Q₈²	—	13	16	no	—
872	#557	—	13	16	no	—
873	#557	—	13	16	no	—
874	#557	—	13	16	no	—
875	#556	—	13	16	no	—
876	#556	—	13	16	no	—
877	#556	—	13	16	no	—
878	#556	—	13	16	no	—
879	#556	—	13	16	no	—
880	#554	—	13	16	no	—
881	#552	—	13	16	no	—
882	#552	—	13	16	no	—
883	#544	—	13	16	no	—
884	#544	—	13	16	no	—
885	#542	—	13	16	no	—
886	#542	—	13	16	no	—
887	#541	—	13	16	no	—
888	#541	—	13	16	no	—
889	#541	—	13	16	no	—
890	#541	—	13	16	no	—
891	#541	—	13	16	no	—
892	#541	—	13	16	no	—
893	#541	—	13	16	no	—
894	#541	—	13	16	no	—
895	#533	—	13	16	no	—
896	#533	—	13	16	no	—
897	C₂×C₄⋊Q₈	—	13	1	no	—
898	C₂×C₄⋊Q₈	—	13	1	no	—
899	C₂×C₄⋊Q₈	—	13	1	no	—
900	C₂×C₄⋊Q₈	—	13	1	no	—
901	C₂×C₄⋊Q₈	—	13	1	no	—
902	C₂×C₄⋊Q₈	—	13	1	no	—
903	C₂×C₄⋊Q₈	—	13	1	no	—
904	C₂×C₄⋊Q₈	—	13	1	no	—
905	C₂×C₄⋊Q₈	—	13	1	no	—
906	C₂×C₄⋊Q₈	—	13	1	no	—
907	C₂×C₄⋊Q₈	—	13	1	no	—
908	C₂×C₄⋊Q₈	—	13	1	no	—
909	C₂×C₄⋊Q₈	—	13	1	no	—
910	C₂×C₄⋊Q₈	—	13	1	no	—
911	C₂×C₄⋊Q₈	—	13	1	no	—
912	C₂×C₄⋊Q₈	—	13	1	no	—
913	C₂×C₄⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
914	C₂×C₄⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
915	#529	—	13	16	no	—
916	C₂×#126	—	13	1	no	—
917	C₂×#126	—	13	1	no	—
918	C₂×#126	—	13	1	no	—
919	C₂×#126	—	13	1	no	—
920	C₂×#126	—	13	1	no	—
921	C₂×#126	—	13	1	no	—
922	C₂×#126	—	13	1	no	—
923	C₂×#126	—	13	1	no	—
924	C₂×#126	—	13	1	no	—
925	C₂×#126	—	13	1	no	—
926	C₂×#126	—	13	1	no	—
927	C₂×#126	—	13	1	no	—
928	C₂×#126	—	13	1	no	—
929	C₂×#126	—	13	1	no	—
930	C₂×#126	—	13	1	no	—
931	C₂×#126	—	13	1	no	—
932	C₂×#126	—	13	1	no	—
933	C₂×#126	—	13	1	no	—
934	C₂×#126	—	13	1	no	—
935	C₂×#126	—	13	1	no	—
936	C₂×#126	—	13	1	no	—
937	C₂×#126	—	13	1	no	—
938	C₂×#126	C₂×D₁₃	1	1	yes	characteristic
939	C₂×#126	C₂×D₁₃	1	1	yes	characteristic
940	C₂×#126	C₂×D₁₃	1	1	yes	characteristic
941	C₂×#126	C₂×D₁₃	1	1	yes	characteristic
942	C₂×#125	—	13	1	no	—
943	C₂×#125	—	13	1	no	—
944	C₂×#125	—	13	1	no	—
945	C₂×#125	—	13	1	no	—
946	C₂×#125	—	13	1	no	—
947	C₂×#125	—	13	1	no	—
948	C₂×#125	—	13	1	no	—
949	C₂×#125	—	13	1	no	—
950	C₂×#125	—	13	1	no	—
951	C₂×#125	—	13	1	no	—
952	C₂×#125	—	13	1	no	—
953	C₂×#125	—	13	1	no	—
954	C₂×#125	—	13	1	no	—
955	C₂×#125	—	13	1	no	—
956	C₂×#125	—	13	1	no	—
957	C₂×#125	—	13	1	no	—
958	C₂×#125	—	13	1	no	—
959	C₂×#125	—	13	1	no	—
960	C₂×#125	—	13	1	no	—
961	C₂×#125	—	13	1	no	—
962	C₂×#125	—	13	1	no	—
963	C₂×#125	—	13	1	no	—
964	C₂×#125	—	13	1	no	—
965	C₂×#125	—	13	1	no	—
966	C₂×#125	—	13	1	no	—
967	C₂×#125	—	13	1	no	—
968	C₂×#125	—	13	1	no	—
969	C₂×#125	C₂×D₁₃	1	1	yes	characteristic
970	C₂×#125	C₂×D₁₃	1	1	yes	characteristic
971	C₂×#124	—	13	1	no	—
972	C₂×#124	—	13	1	no	—
973	C₂×#124	—	13	1	no	—
974	C₂×#124	—	13	1	no	—
975	C₂×#124	—	13	1	no	—
976	C₂×#124	—	13	1	no	—
977	C₂×#124	C₂×D₁₃	1	1	yes	characteristic
978	C₂×#123	—	13	1	no	—
979	C₂×#123	—	13	1	no	—
980	C₂×#123	—	13	1	no	—
981	C₂×#123	—	13	1	no	—
982	C₂×#123	C₂×D₁₃	1	1	yes	characteristic
983	C₂×#123	C₂×D₁₃	1	1	yes	characteristic
984	C₂×C₂²⋊Q₈	—	13	1	no	—
985	C₂×C₂²⋊Q₈	—	13	1	no	—
986	C₂×C₂²⋊Q₈	—	13	1	no	—
987	C₂×C₂²⋊Q₈	—	13	1	no	—
988	C₂×C₂²⋊Q₈	—	13	1	no	—
989	C₂×C₂²⋊Q₈	—	13	1	no	—
990	C₂×C₂²⋊Q₈	—	13	1	no	—
991	C₂×C₂²⋊Q₈	—	13	1	no	—
992	C₂×C₂²⋊Q₈	—	13	1	no	—
993	C₂×C₂²⋊Q₈	—	13	1	no	—
994	C₂×C₂²⋊Q₈	—	13	1	no	—
995	C₂×C₂²⋊Q₈	—	13	1	no	—
996	C₂×C₂²⋊Q₈	—	13	1	no	—
997	C₂×C₂²⋊Q₈	—	13	1	no	—
998	C₂×C₂²⋊Q₈	—	13	1	no	—
999	C₂×C₂²⋊Q₈	—	13	1	no	—
1000	C₂×C₂²⋊Q₈	—	13	1	no	—
1001	C₂×C₂²⋊Q₈	—	13	1	no	—
1002	C₂×C₂²⋊Q₈	—	13	1	no	—
1003	C₂×C₂²⋊Q₈	—	13	1	no	—
1004	C₂×C₂²⋊Q₈	—	13	1	no	—
1005	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
1006	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
1007	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
1008	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
1009	C₂×#121	—	13	1	no	—
1010	C₂×C₄×Q₈	—	13	1	no	—
1011	C₂×C₄×Q₈	—	13	1	no	—
1012	C₂×C₄×Q₈	—	13	1	no	—
1013	C₂×C₄×Q₈	—	13	1	no	—
1014	C₂×C₄×Q₈	—	13	1	no	—
1015	C₂×C₄×Q₈	—	13	1	no	—
1016	C₂×C₄×Q₈	—	13	1	no	—
1017	C₂×C₄×Q₈	—	13	1	no	—
1018	C₂×C₄×Q₈	—	13	1	no	—
1019	C₂×C₄×Q₈	—	13	1	no	—
1020	C₂×C₄×Q₈	—	13	1	no	—
1021	C₂×C₄×Q₈	—	13	1	no	—
1022	C₂×C₄×Q₈	—	13	1	no	—
1023	C₂×C₄×Q₈	—	13	1	no	—
1024	C₂×C₄×Q₈	—	13	1	no	—
1025	C₂×C₄×Q₈	—	13	1	no	—
1026	C₂×C₄×Q₈	—	13	1	no	—
1027	C₂×C₄×Q₈	—	13	1	no	—
1028	C₂×C₄×Q₈	—	13	1	no	—
1029	C₂×C₄×Q₈	—	13	1	no	—
1030	C₂×C₄×Q₈	—	13	1	no	—
1031	C₂×C₄×Q₈	—	13	1	no	—
1032	C₂×C₄×Q₈	—	13	1	no	—
1033	C₂×C₄×D₄	—	13	1	no	—
1034	C₂×C₄×D₄	—	13	1	no	—
1035	C₂×C₄×D₄	—	13	1	no	—
1036	C₂×C₄×D₄	—	13	1	no	—
1037	C₂×C₄×D₄	—	13	1	no	—
1038	C₂×#117	—	13	1	no	—
1039	C₂×#117	—	13	1	no	—
1040	C₂×#117	—	13	1	no	—
1041	C₂×#117	—	13	1	no	—
1042	C₂×#117	—	13	1	no	—
1043	C₂×#117	—	13	1	no	—
1044	C₂×#117	—	13	1	no	—
1045	C₂×#117	—	13	1	no	—
1046	C₂×#117	—	13	1	no	—
1047	C₂×#117	—	13	1	no	—
1048	C₂×#117	—	13	1	no	—
1049	C₂×#117	—	13	1	no	—
1050	C₂²×C₄⋊C₄	—	13	1	no	—
1051	C₂²×C₄⋊C₄	—	13	1	no	—
1052	C₂²×C₄²	—	13	1	no	—
1053	C₂²×C₁₃	—	2	2	no	—
1054	C₂²×C₁₃	—	2	2	no	—
1055	C₂²×C₁₃	—	2	2	no	—
1056	C₂²×C₁₃	—	2	2	no	—
1057	C₂²×C₁₃	—	2	2	no	—
1058	C₂²×C₁₃	—	2	2	no	—
1059	C₂²×C₁₃	—	4	4	no	—
1060	C₂²×C₁₃	—	4	4	no	—
1061	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
1062	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
1063	C₂²×C₁₃	#585	1	2	yes	—
1064	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
1065	C₂×D₁₃	—	2	2	no	—
1066	C₂×D₁₃	—	2	2	no	—
1067	C₂×D₁₃	—	2	2	no	—
1068	C₂×D₁₃	—	4	4	no	—
1069	C₄×C₁₃	—	2	2	no	—
1070	C₄×C₁₃	—	2	2	no	—
1071	C₄×C₁₃	—	2	2	no	—
1072	C₄×C₁₃	—	2	2	no	—
1073	C₄×C₁₃	—	2	2	no	—
1074	C₄×C₁₃	—	2	2	no	—
1075	C₄×C₁₃	—	2	2	no	—
1076	C₄×C₁₃	—	2	2	no	—
1077	C₄×C₁₃	—	2	2	no	—
1078	C₄×C₁₃	—	2	2	no	—
1079	C₄×C₁₃	—	2	2	no	—
1080	C₄×C₁₃	—	2	2	no	—
1081	C₄×C₁₃	—	2	2	no	—
1082	Dic₁₃	—	2	2	no	—
1083	Dic₁₃	—	2	2	no	—
1084	Dic₁₃	—	2	2	no	—
1085	Dic₁₃	—	2	2	no	—
1086	Dic₁₃	—	2	2	no	—
1087	Dic₁₃	—	2	2	no	—
1088	Dic₁₃	—	2	2	no	—
1089	Dic₁₃	—	2	2	no	—
1090	Dic₁₃	—	2	2	no	—
1091	Dic₁₃	—	2	2	no	—
1092	Dic₁₃	—	2	2	no	—
1093	Dic₁₃	—	2	2	no	—
1094	Dic₁₃	—	2	2	no	—
1095	Dic₁₃	C₂×2₋¹⁺⁴	1	4	yes	—
1096	Dic₁₃	C₂×2₋¹⁺⁴	1	4	yes	—
1097	C₂²×Q₈	—	13	1	no	—
1098	C₂²×Q₈	—	13	1	no	—
1099	C₂²×Q₈	—	13	1	no	—
1100	C₂²×Q₈	—	13	1	no	—
1101	C₂²×Q₈	—	13	1	no	—
1102	C₂²×Q₈	—	13	1	no	—
1103	C₂²×Q₈	—	13	1	no	—
1104	C₂²×Q₈	—	13	1	no	—
1105	C₂²×Q₈	—	13	1	no	—
1106	C₂²×Q₈	—	13	1	no	—
1107	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1108	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1109	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1110	C₂²×D₄	—	13	1	no	—
1111	C₂²×D₄	—	13	1	no	—
1112	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1113	C₂³×C₄	—	13	1	no	—
1114	C₂³×C₄	—	13	1	no	—
1115	C₂³×C₄	—	13	1	no	—
1116	C₂³×C₄	—	13	1	no	—
1117	C₂³×C₄	—	13	1	no	—
1118	C₂³×C₄	—	13	1	no	—
1119	C₂³×C₄	—	13	1	no	—
1120	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1121	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1122	C₄⋊Q₈	—	13	8	no	—
1123	C₄⋊Q₈	—	13	8	no	—
1124	C₄⋊Q₈	—	13	8	no	—
1125	C₄⋊Q₈	—	13	8	no	—
1126	C₄⋊Q₈	—	13	8	no	—
1127	C₄⋊Q₈	—	13	8	no	—
1128	C₄⋊Q₈	—	13	8	no	—
1129	C₄⋊Q₈	—	13	8	no	—
1130	C₄⋊Q₈	—	13	8	no	—
1131	C₄⋊Q₈	—	13	8	no	—
1132	C₄⋊Q₈	—	13	8	no	—
1133	C₄⋊Q₈	—	13	8	no	—
1134	C₄⋊Q₈	—	13	8	no	—
1135	C₄⋊Q₈	—	13	8	no	—
1136	C₄⋊Q₈	—	13	8	no	—
1137	C₄⋊Q₈	—	13	8	no	—
1138	C₄⋊Q₈	C₂²×D₁₃	1	8	yes	—
1139	C₄⋊Q₈	C₂²×D₁₃	1	8	yes	—
1140	#126	—	13	8	no	—
1141	#126	—	13	8	no	—
1142	#126	—	13	8	no	—
1143	#126	—	13	8	no	—
1144	#126	—	13	8	no	—
1145	#126	—	13	8	no	—
1146	#126	—	13	8	no	—
1147	#126	—	13	8	no	—
1148	#126	—	13	8	no	—
1149	#126	—	13	8	no	—
1150	#126	—	13	8	no	—
1151	#126	—	13	8	no	—
1152	#126	—	13	8	no	—
1153	#126	—	13	8	no	—
1154	#126	—	13	8	no	—
1155	#126	—	13	8	no	—
1156	#126	—	13	8	no	—
1157	#126	—	13	8	no	—
1158	#126	—	13	8	no	—
1159	#126	—	13	8	no	—
1160	#126	—	13	8	no	—
1161	#126	—	13	8	no	—
1162	#126	C₂²×D₁₃	1	8	yes	—
1163	#126	C₂²×D₁₃	1	8	yes	—
1164	#126	C₂²×D₁₃	1	8	yes	—
1165	#126	C₂²×D₁₃	1	8	yes	—
1166	#125	—	13	8	no	—
1167	#125	—	13	8	no	—
1168	#125	—	13	8	no	—
1169	#125	—	13	8	no	—
1170	#125	—	13	8	no	—
1171	#125	—	13	8	no	—
1172	#125	—	13	8	no	—
1173	#125	—	13	8	no	—
1174	#125	—	13	8	no	—
1175	#125	—	13	8	no	—
1176	#125	—	13	8	no	—
1177	#125	—	13	8	no	—
1178	#125	—	13	8	no	—
1179	#125	—	13	8	no	—
1180	#125	—	13	8	no	—
1181	#125	—	13	8	no	—
1182	#125	—	13	8	no	—
1183	#125	—	13	8	no	—
1184	#125	—	13	8	no	—
1185	#125	—	13	8	no	—
1186	#125	—	13	8	no	—
1187	#125	—	13	8	no	—
1188	#125	—	13	8	no	—
1189	#125	—	13	8	no	—
1190	#125	—	13	8	no	—
1191	#125	—	13	8	no	—
1192	#125	—	13	8	no	—
1193	#125	C₂²×D₁₃	1	8	yes	—
1194	#125	C₂²×D₁₃	1	8	yes	—
1195	#124	—	13	8	no	—
1196	#124	—	13	8	no	—
1197	#124	—	13	8	no	—
1198	#124	—	13	8	no	—
1199	#124	—	13	8	no	—
1200	#124	—	13	8	no	—
1201	#124	C₂²×D₁₃	1	8	yes	—
1202	#123	—	13	8	no	—
1203	#123	—	13	8	no	—
1204	#123	—	13	8	no	—
1205	#123	—	13	8	no	—
1206	#123	C₂²×D₁₃	1	8	yes	—
1207	#123	C₂²×D₁₃	1	8	yes	—
1208	C₂²⋊Q₈	—	13	8	no	—
1209	C₂²⋊Q₈	—	13	8	no	—
1210	C₂²⋊Q₈	—	13	8	no	—
1211	C₂²⋊Q₈	—	13	8	no	—
1212	C₂²⋊Q₈	—	13	8	no	—
1213	C₂²⋊Q₈	—	13	8	no	—
1214	C₂²⋊Q₈	—	13	8	no	—
1215	C₂²⋊Q₈	—	13	8	no	—
1216	C₂²⋊Q₈	—	13	8	no	—
1217	C₂²⋊Q₈	—	13	8	no	—
1218	C₂²⋊Q₈	—	13	8	no	—
1219	C₂²⋊Q₈	—	13	8	no	—
1220	C₂²⋊Q₈	—	13	8	no	—
1221	C₂²⋊Q₈	—	13	8	no	—
1222	C₂²⋊Q₈	—	13	8	no	—
1223	C₂²⋊Q₈	—	13	8	no	—
1224	C₂²⋊Q₈	—	13	8	no	—
1225	C₂²⋊Q₈	—	13	8	no	—
1226	C₂²⋊Q₈	—	13	8	no	—
1227	C₂²⋊Q₈	—	13	8	no	—
1228	C₂²⋊Q₈	—	13	8	no	—
1229	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	—
1230	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	—
1231	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	—
1232	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	—
1233	#121	—	13	8	no	—
1234	C₄×Q₈	—	13	8	no	—
1235	C₄×Q₈	—	13	8	no	—
1236	C₄×Q₈	—	13	8	no	—
1237	C₄×Q₈	—	13	8	no	—
1238	C₄×Q₈	—	13	8	no	—
1239	C₄×Q₈	—	13	8	no	—
1240	C₄×Q₈	—	13	8	no	—
1241	C₄×Q₈	—	13	8	no	—
1242	C₄×Q₈	—	13	8	no	—
1243	C₄×Q₈	—	13	8	no	—
1244	C₄×Q₈	—	13	8	no	—
1245	C₄×Q₈	—	13	8	no	—
1246	C₄×Q₈	—	13	8	no	—
1247	C₄×Q₈	—	13	8	no	—
1248	C₄×Q₈	—	13	8	no	—
1249	C₄×Q₈	—	13	8	no	—
1250	C₄×Q₈	—	13	8	no	—
1251	C₄×Q₈	—	13	8	no	—
1252	C₄×Q₈	—	13	8	no	—
1253	C₄×Q₈	—	13	8	no	—
1254	C₄×Q₈	—	13	8	no	—
1255	C₄×Q₈	—	13	8	no	—
1256	C₄×Q₈	—	13	8	no	—
1257	C₄×D₄	—	13	8	no	—
1258	C₄×D₄	—	13	8	no	—
1259	C₄×D₄	—	13	8	no	—
1260	C₄×D₄	—	13	8	no	—
1261	C₄×D₄	—	13	8	no	—
1262	#117	—	13	8	no	—
1263	#117	—	13	8	no	—
1264	#117	—	13	8	no	—
1265	#117	—	13	8	no	—
1266	#117	—	13	8	no	—
1267	#117	—	13	8	no	—
1268	#117	—	13	8	no	—
1269	#117	—	13	8	no	—
1270	#117	—	13	8	no	—
1271	#117	—	13	8	no	—
1272	#117	—	13	8	no	—
1273	#117	—	13	8	no	—
1274	C₂×C₄⋊C₄	—	13	1	no	—
1275	C₂×C₄⋊C₄	—	13	1	no	—
1276	C₂×C₄⋊C₄	—	13	1	no	—
1277	C₂×C₄⋊C₄	—	13	1	no	—
1278	C₂×C₄⋊C₄	—	13	1	no	—
1279	C₂×C₄⋊C₄	—	13	1	no	—
1280	C₂×C₄⋊C₄	—	13	8	no	—
1281	C₂×C₄⋊C₄	—	13	1	no	—
1282	C₂×C₄⋊C₄	—	13	1	no	—
1283	C₂×C₄⋊C₄	—	13	1	no	—
1284	C₂×C₄⋊C₄	—	13	1	no	—
1285	C₂×C₄⋊C₄	—	13	1	no	—
1286	C₂×C₄⋊C₄	—	13	1	no	—
1287	C₂×C₄⋊C₄	—	13	1	no	—
1288	C₂×C₄⋊C₄	—	13	1	no	—
1289	C₂×C₄⋊C₄	—	13	1	no	—
1290	C₂×C₄⋊C₄	—	13	1	no	—
1291	C₂×C₄⋊C₄	—	13	1	no	—
1292	C₂×C₄⋊C₄	—	13	1	no	—
1293	C₂×C₄⋊C₄	—	13	1	no	—
1294	C₂×C₄⋊C₄	—	13	1	no	—
1295	C₂×C₄⋊C₄	—	13	1	no	—
1296	C₂×C₄⋊C₄	—	13	1	no	—
1297	C₂×C₄⋊C₄	—	13	1	no	—
1298	C₂×C₄⋊C₄	—	13	1	no	—
1299	C₂×C₄⋊C₄	—	13	1	no	—
1300	C₂×C₄⋊C₄	—	13	1	no	—
1301	C₂×C₄⋊C₄	—	13	1	no	—
1302	C₂×C₄⋊C₄	—	13	1	no	—
1303	C₂×C₄⋊C₄	—	13	1	no	—
1304	C₂×C₄⋊C₄	—	13	1	no	—
1305	C₂×C₄⋊C₄	—	13	1	no	—
1306	C₂×C₄⋊C₄	—	13	1	no	—
1307	C₂×C₄⋊C₄	—	13	1	no	—
1308	C₂×C₄⋊C₄	—	13	1	no	—
1309	C₂×C₄⋊C₄	—	13	1	no	—
1310	C₂×C₄⋊C₄	—	13	1	no	—
1311	C₂×C₄⋊C₄	—	13	1	no	—
1312	C₂×C₄⋊C₄	—	13	1	no	—
1313	C₂×C₄⋊C₄	—	13	1	no	—
1314	C₂×C₄⋊C₄	—	13	1	no	—
1315	C₂×C₄⋊C₄	—	13	1	no	—
1316	C₂×C₄⋊C₄	—	13	1	no	—
1317	C₂×C₄⋊C₄	—	13	1	no	—
1318	C₂×C₄⋊C₄	—	13	1	no	—
1319	C₂×C₄⋊C₄	—	13	1	no	—
1320	C₂×C₄⋊C₄	—	13	1	no	—
1321	C₂×C₄⋊C₄	—	13	1	no	—
1322	C₂×C₄⋊C₄	—	13	1	no	—
1323	C₂×C₄⋊C₄	—	13	1	no	—
1324	C₂×C₄⋊C₄	—	13	1	no	—
1325	C₂×C₄⋊C₄	—	13	1	no	—
1326	C₂×C₄⋊C₄	—	13	1	no	—
1327	C₂×C₄⋊C₄	—	13	1	no	—
1328	C₂×C₄⋊C₄	—	13	1	no	—
1329	C₂×C₄⋊C₄	—	13	1	no	—
1330	C₂×C₄⋊C₄	—	13	1	no	—
1331	C₂×C₄⋊C₄	—	13	1	no	—
1332	C₂×C₄⋊C₄	—	13	1	no	—
1333	C₂×C₄⋊C₄	—	13	8	no	—
1334	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1335	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1336	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1337	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1338	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1339	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1340	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1341	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1342	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1343	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1344	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1345	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1346	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1347	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1348	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1349	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1350	C₂×C₂²⋊C₄	—	13	1	no	—
1351	C₂×C₂²⋊C₄	—	13	1	no	—
1352	C₂×C₂²⋊C₄	—	13	1	no	—
1353	C₂×C₂²⋊C₄	—	13	1	no	—
1354	C₂×C₂²⋊C₄	—	13	1	no	—
1355	C₂×C₂²⋊C₄	—	13	1	no	—
1356	C₂×C₂²⋊C₄	—	13	1	no	—
1357	C₂×C₂²⋊C₄	—	13	1	no	—
1358	C₂×C₂²⋊C₄	—	13	1	no	—
1359	C₂×C₂²⋊C₄	—	13	1	no	—
1360	C₂×C₂²⋊C₄	—	13	1	no	—
1361	C₂×C₂²⋊C₄	—	13	1	no	—
1362	C₂×C₂²⋊C₄	—	13	1	no	—
1363	C₂×C₂²⋊C₄	—	13	1	no	—
1364	C₂×C₂²⋊C₄	—	13	1	no	—
1365	C₂×C₂²⋊C₄	—	13	1	no	—
1366	C₂×C₂²⋊C₄	—	13	1	no	—
1367	C₂×C₂²⋊C₄	—	13	1	no	—
1368	C₂×C₂²⋊C₄	—	13	1	no	—
1369	C₂×C₂²⋊C₄	—	13	1	no	—
1370	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1371	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1372	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1373	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1374	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1375	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1376	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1377	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1378	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1379	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1380	C₂×C₄²	—	13	1	no	—
1381	C₂×C₄²	—	13	1	no	—
1382	C₂×C₄²	—	13	1	no	—
1383	C₂×C₄²	—	13	1	no	—
1384	C₂×C₄²	—	13	1	no	—
1385	C₂×C₄²	—	13	1	no	—
1386	C₂×C₄²	—	13	1	no	—
1387	C₂×C₄²	—	13	1	no	—
1388	C₂×C₄²	—	13	1	no	—
1389	C₂×C₄²	—	13	1	no	—
1390	C₂×C₄²	—	13	1	no	—
1391	C₂×C₄²	—	13	1	no	—
1392	C₂×C₄²	—	13	1	no	—
1393	C₂×C₄²	—	13	1	no	—
1394	C₂×C₄²	—	13	1	no	—
1395	C₂×C₄²	—	13	1	no	—
1396	C₂×C₄²	—	13	1	no	—
1397	C₂×C₄²	—	13	1	no	—
1398	C₂×C₄²	—	13	1	no	—
1399	C₂×C₄²	—	13	1	no	—
1400	C₂×C₄²	—	13	1	no	—
1401	C₂×C₄²	—	13	1	no	—
1402	C₂×C₄²	—	13	1	no	—
1403	C₂×C₄²	—	13	8	no	—
1404	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1405	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1406	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1407	C₂×C₁₃	—	4	2	no	—
1408	C₂×C₁₃	—	4	2	no	—
1409	C₂×C₁₃	#3555	1	4	yes	complemented
1410	C₂×C₁₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1411	C₂×C₁₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1412	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1413	D₁₃	—	4	2	no	—
1414	C₂⁴	—	13	1	no	—
1415	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1416	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1417	C₂×Q₈	—	4	2	no	—
1418	C₂×Q₈	—	4	2	no	—
1419	C₂×Q₈	—	4	2	no	—
1420	C₂×Q₈	—	13	4	no	—
1421	C₂×Q₈	—	13	4	no	—
1422	C₂×Q₈	—	13	4	no	—
1423	C₂×Q₈	—	13	4	no	—
1424	C₂×Q₈	—	13	4	no	—
1425	C₂×Q₈	—	13	4	no	—
1426	C₂×Q₈	—	13	4	no	—
1427	C₂×Q₈	—	13	4	no	—
1428	C₂×Q₈	—	13	4	no	—
1429	C₂×Q₈	—	13	4	no	—
1430	C₂×Q₈	—	26	4	no	—
1431	C₂×Q₈	—	26	4	no	—
1432	C₂×Q₈	—	26	4	no	—
1433	C₂×Q₈	—	26	4	no	—
1434	C₂×Q₈	—	26	4	no	—
1435	C₂×Q₈	—	52	2	no	—
1436	C₂×Q₈	—	52	2	no	—
1437	C₂×Q₈	—	52	2	no	—
1438	C₂×Q₈	—	52	2	no	—
1439	C₂×Q₈	—	52	2	no	—
1440	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1441	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1442	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1443	C₂×D₄	—	4	2	no	—
1444	C₂×D₄	—	13	4	no	—
1445	C₂×D₄	—	13	4	no	—
1446	C₂×D₄	—	26	4	no	—
1447	C₂×D₄	—	52	2	no	—
1448	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1449	C₂²×C₄	—	4	2	no	—
1450	C₂²×C₄	—	4	2	no	—
1451	C₂²×C₄	—	13	1	no	—
1452	C₂²×C₄	—	13	1	no	—
1453	C₂²×C₄	—	13	4	no	—
1454	C₂²×C₄	—	13	4	no	—
1455	C₂²×C₄	—	13	4	no	—
1456	C₂²×C₄	—	13	1	no	—
1457	C₂²×C₄	—	13	1	no	—
1458	C₂²×C₄	—	13	1	no	—
1459	C₂²×C₄	—	13	1	no	—
1460	C₂²×C₄	—	13	1	no	—
1461	C₂²×C₄	—	13	1	no	—
1462	C₂²×C₄	—	13	1	no	—
1463	C₂²×C₄	—	13	1	no	—
1464	C₂²×C₄	—	13	1	no	—
1465	C₂²×C₄	—	13	1	no	—
1466	C₂²×C₄	—	13	1	no	—
1467	C₂²×C₄	—	13	1	no	—
1468	C₂²×C₄	—	13	1	no	—
1469	C₂²×C₄	—	13	4	no	—
1470	C₂²×C₄	—	13	4	no	—
1471	C₂²×C₄	—	13	4	no	—
1472	C₂²×C₄	—	13	4	no	—
1473	C₂²×C₄	—	26	4	no	—
1474	C₂²×C₄	—	26	4	no	—
1475	C₂²×C₄	—	26	4	no	—
1476	C₂²×C₄	—	26	4	no	—
1477	C₂²×C₄	—	52	2	no	—
1478	C₂²×C₄	—	52	2	no	—
1479	C₂²×C₄	—	52	2	no	—
1480	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1481	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1482	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1483	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1484	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1485	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1486	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1487	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1488	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1489	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1490	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1491	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1492	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1493	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1494	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1495	C₄⋊C₄	—	13	4	no	—
1496	C₄⋊C₄	—	13	4	no	—
1497	C₄⋊C₄	—	13	4	no	—
1498	C₄⋊C₄	—	13	4	no	—
1499	C₄⋊C₄	—	13	4	no	—
1500	C₄⋊C₄	—	13	4	no	—
1501	C₄⋊C₄	—	13	4	no	—
1502	C₄⋊C₄	—	13	4	no	—
1503	C₄⋊C₄	—	13	4	no	—
1504	C₄⋊C₄	—	13	4	no	—
1505	C₄⋊C₄	—	13	4	no	—
1506	C₄⋊C₄	—	13	4	no	—
1507	C₄⋊C₄	—	13	4	no	—
1508	C₄⋊C₄	—	13	4	no	—
1509	C₄⋊C₄	—	13	4	no	—
1510	C₄⋊C₄	—	13	4	no	—
1511	C₄⋊C₄	—	13	4	no	—
1512	C₄⋊C₄	—	13	4	no	—
1513	C₄⋊C₄	—	13	4	no	—
1514	C₄⋊C₄	—	13	4	no	—
1515	C₄⋊C₄	—	13	4	no	—
1516	C₄⋊C₄	—	13	4	no	—
1517	C₄⋊C₄	—	13	4	no	—
1518	C₄⋊C₄	—	13	4	no	—
1519	C₄⋊C₄	—	13	4	no	—
1520	C₄⋊C₄	—	13	4	no	—
1521	C₄⋊C₄	—	13	4	no	—
1522	C₄⋊C₄	—	13	4	no	—
1523	C₄⋊C₄	—	13	4	no	—
1524	C₄⋊C₄	—	13	4	no	—
1525	C₄⋊C₄	—	13	4	no	—
1526	C₄⋊C₄	—	13	4	no	—
1527	C₄⋊C₄	—	13	4	no	—
1528	C₄⋊C₄	—	13	4	no	—
1529	C₄⋊C₄	—	13	4	no	—
1530	C₄⋊C₄	—	13	4	no	—
1531	C₄⋊C₄	—	13	4	no	—
1532	C₄⋊C₄	—	13	4	no	—
1533	C₄⋊C₄	—	13	4	no	—
1534	C₄⋊C₄	—	13	4	no	—
1535	C₄⋊C₄	—	13	4	no	—
1536	C₄⋊C₄	—	13	4	no	—
1537	C₄⋊C₄	—	13	4	no	—
1538	C₄⋊C₄	—	13	4	no	—
1539	C₄⋊C₄	—	13	4	no	—
1540	C₄⋊C₄	—	13	4	no	—
1541	C₄⋊C₄	—	13	4	no	—
1542	C₄⋊C₄	—	13	4	no	—
1543	C₄⋊C₄	—	13	4	no	—
1544	C₄⋊C₄	—	13	4	no	—
1545	C₄⋊C₄	—	13	4	no	—
1546	C₄⋊C₄	—	13	4	no	—
1547	C₄⋊C₄	—	13	4	no	—
1548	C₄⋊C₄	—	13	4	no	—
1549	C₄⋊C₄	—	13	4	no	—
1550	C₄⋊C₄	—	13	4	no	—
1551	C₄⋊C₄	—	13	4	no	—
1552	C₄⋊C₄	—	13	4	no	—
1553	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1554	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1555	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1556	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1557	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1558	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1559	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1560	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1561	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1562	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1563	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1564	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1565	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1566	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1567	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1568	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1569	C₂²⋊C₄	—	13	4	no	—
1570	C₂²⋊C₄	—	13	4	no	—
1571	C₂²⋊C₄	—	13	4	no	—
1572	C₂²⋊C₄	—	13	4	no	—
1573	C₂²⋊C₄	—	13	4	no	—
1574	C₂²⋊C₄	—	13	4	no	—
1575	C₂²⋊C₄	—	13	4	no	—
1576	C₂²⋊C₄	—	13	4	no	—
1577	C₂²⋊C₄	—	13	4	no	—
1578	C₂²⋊C₄	—	13	4	no	—
1579	C₂²⋊C₄	—	13	4	no	—
1580	C₂²⋊C₄	—	13	4	no	—
1581	C₂²⋊C₄	—	13	4	no	—
1582	C₂²⋊C₄	—	13	4	no	—
1583	C₂²⋊C₄	—	13	4	no	—
1584	C₂²⋊C₄	—	13	4	no	—
1585	C₂²⋊C₄	—	13	4	no	—
1586	C₂²⋊C₄	—	13	4	no	—
1587	C₂²⋊C₄	—	13	4	no	—
1588	C₂²⋊C₄	—	13	4	no	—
1589	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1590	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1591	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1592	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1593	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1594	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1595	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1596	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1597	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1598	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1599	C₄²	—	13	4	no	—
1600	C₄²	—	13	4	no	—
1601	C₄²	—	13	4	no	—
1602	C₄²	—	13	4	no	—
1603	C₄²	—	13	4	no	—
1604	C₄²	—	13	4	no	—
1605	C₄²	—	13	4	no	—
1606	C₄²	—	13	4	no	—
1607	C₄²	—	13	4	no	—
1608	C₄²	—	13	4	no	—
1609	C₄²	—	13	4	no	—
1610	C₄²	—	13	4	no	—
1611	C₄²	—	13	4	no	—
1612	C₄²	—	13	4	no	—
1613	C₄²	—	13	4	no	—
1614	C₄²	—	13	4	no	—
1615	C₄²	—	13	4	no	—
1616	C₄²	—	13	4	no	—
1617	C₄²	—	13	4	no	—
1618	C₄²	—	13	4	no	—
1619	C₄²	—	13	4	no	—
1620	C₄²	—	13	4	no	—
1621	C₄²	—	13	4	no	—
1622	C₄²	C₂³×D₁₃	1	4	yes	—
1623	C₄²	C₂³×D₁₃	1	4	yes	—
1624	C₄²	C₂³×D₁₃	1	4	yes	—
1625	C₁₃	C₂×#3555	1	1	yes	characteristic, complemented, Sylow
1626	C₂³	—	2	2	no	—
1627	C₂³	—	2	2	no	—
1628	C₂³	—	2	2	no	—
1629	C₂³	—	2	2	no	—
1630	C₂³	—	2	2	no	—
1631	C₂³	—	2	2	no	—
1632	C₂³	—	13	2	no	—
1633	C₂³	—	26	2	no	—
1634	C₂³	—	26	2	no	—
1635	C₂³	—	26	2	no	—
1636	C₂³	C₂⁴×D₁₃	1	2	yes	—
1637	C₂³	C₂⁴×D₁₃	1	2	yes	—
1638	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1639	Q₈	—	4	4	no	—
1640	Q₈	—	4	4	no	—
1641	Q₈	—	4	4	no	—
1642	Q₈	—	26	8	no	—
1643	Q₈	—	26	8	no	—
1644	Q₈	—	26	8	no	—
1645	Q₈	—	26	8	no	—
1646	Q₈	—	26	8	no	—
1647	Q₈	—	52	4	no	—
1648	Q₈	—	52	4	no	—
1649	Q₈	—	52	4	no	—
1650	Q₈	—	52	4	no	—
1651	Q₈	—	52	4	no	—
1652	D₄	—	4	4	no	—
1653	D₄	—	26	8	no	—
1654	D₄	—	52	4	no	—
1655	C₂×C₄	—	2	2	no	—
1656	C₂×C₄	—	2	2	no	—
1657	C₂×C₄	—	2	2	no	—
1658	C₂×C₄	—	2	2	no	—
1659	C₂×C₄	—	2	2	no	—
1660	C₂×C₄	—	2	2	no	—
1661	C₂×C₄	—	2	2	no	—
1662	C₂×C₄	—	2	2	no	—
1663	C₂×C₄	—	2	2	no	—
1664	C₂×C₄	—	2	2	no	—
1665	C₂×C₄	—	2	2	no	—
1666	C₂×C₄	—	2	2	no	—
1667	C₂×C₄	—	2	2	no	—
1668	C₂×C₄	—	4	4	no	—
1669	C₂×C₄	—	4	4	no	—
1670	C₂×C₄	—	13	4	no	—
1671	C₂×C₄	—	13	4	no	—
1672	C₂×C₄	—	13	2	no	—
1673	C₂×C₄	—	13	2	no	—
1674	C₂×C₄	—	13	2	no	—
1675	C₂×C₄	—	13	2	no	—
1676	C₂×C₄	—	13	2	no	—
1677	C₂×C₄	—	13	2	no	—
1678	C₂×C₄	—	13	2	no	—
1679	C₂×C₄	—	13	2	no	—
1680	C₂×C₄	—	13	2	no	—
1681	C₂×C₄	—	13	2	no	—
1682	C₂×C₄	—	13	2	no	—
1683	C₂×C₄	—	13	2	no	—
1684	C₂×C₄	—	13	2	no	—
1685	C₂×C₄	—	13	2	no	—
1686	C₂×C₄	—	13	2	no	—
1687	C₂×C₄	—	26	8	no	—
1688	C₂×C₄	—	26	8	no	—
1689	C₂×C₄	—	26	8	no	—
1690	C₂×C₄	—	26	8	no	—
1691	C₂×C₄	—	26	2	no	—
1692	C₂×C₄	—	26	2	no	—
1693	C₂×C₄	—	26	2	no	—
1694	C₂×C₄	—	26	2	no	—
1695	C₂×C₄	—	26	2	no	—
1696	C₂×C₄	—	26	2	no	—
1697	C₂×C₄	—	26	2	no	—
1698	C₂×C₄	—	26	2	no	—
1699	C₂×C₄	—	26	2	no	—
1700	C₂×C₄	—	26	2	no	—
1701	C₂×C₄	—	26	2	no	—
1702	C₂×C₄	—	26	2	no	—
1703	C₂×C₄	—	26	2	no	—
1704	C₂×C₄	—	52	4	no	—
1705	C₂×C₄	—	52	4	no	—
1706	C₂×C₄	—	52	4	no	—
1707	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1708	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1709	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1710	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1711	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1712	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1713	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1714	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1715	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1716	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1717	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1718	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1719	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1720	C₂²	—	2	2	no	—
1721	C₂²	—	2	2	no	—
1722	C₂²	—	2	2	no	—
1723	C₂²	—	2	2	no	—
1724	C₂²	—	2	2	no	—
1725	C₂²	—	2	2	no	—
1726	C₂²	—	4	4	no	—
1727	C₂²	—	4	4	no	—
1728	C₂²	—	26	2	no	—
1729	C₂²	—	26	2	no	—
1730	C₂²	—	26	2	no	—
1731	C₂²	—	52	4	no	—
1732	C₂²	#11719650	1	2	yes	—
1733	C₂²	D₁₃×2₋¹⁺⁴	1	2	yes	—
1734	C₂²	D₁₃×2₋¹⁺⁴	1	2	yes	—
1735	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1736	C₄	—	2	2	no	—
1737	C₄	—	2	2	no	—
1738	C₄	—	2	2	no	—
1739	C₄	—	2	2	no	—
1740	C₄	—	2	2	no	—
1741	C₄	—	2	2	no	—
1742	C₄	—	2	2	no	—
1743	C₄	—	2	2	no	—
1744	C₄	—	2	2	no	—
1745	C₄	—	2	2	no	—
1746	C₄	—	2	2	no	—
1747	C₄	—	2	2	no	—
1748	C₄	—	2	2	no	—
1749	C₄	—	13	4	no	—
1750	C₄	—	13	4	no	—
1751	C₄	—	26	2	no	—
1752	C₄	—	26	2	no	—
1753	C₄	—	26	2	no	—
1754	C₄	—	26	2	no	—
1755	C₄	—	26	2	no	—
1756	C₄	—	26	2	no	—
1757	C₄	—	26	2	no	—
1758	C₄	—	26	2	no	—
1759	C₄	—	26	2	no	—
1760	C₄	—	26	2	no	—
1761	C₄	—	26	2	no	—
1762	C₄	—	26	2	no	—
1763	C₄	—	26	2	no	—
1764	C₂	—	4	2	no	—
1765	C₂	—	4	2	no	—
1766	C₂	—	52	2	no	—
1767	C₂	#13129315	1	4	yes	direct product factor
1768	C₂	C₂×D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1769	C₂	C₂×D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1770	C₂	C₂×#11719650	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₁₃
commutator, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₂×C₁₃×#563	C₂
socle	C₂³×C₁₃	C₂⁵
prime radical	C₂×#88193	C₂²
hypercenter	C₂×#563	D₁₃
hypocenter	C₁₃	C₂×#3555
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#563

Complements

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

N	H ≅ G/N	type
1. #13129315	C₂	direct (N × H)
2. C₂×#11719356	C₂	semidirect
3. C₂×#11719351	C₂	semidirect
4. C₂×#11719351	C₂	semidirect
5. C₂×#11719427	C₂	semidirect
6. C₂×#11719390	C₂	semidirect
7. C₂×#11719390	C₂	semidirect
8. C₂×#11719426	C₂	semidirect
9. C₂×#11719346	C₂	semidirect
10. C₂×#11719376	C₂	semidirect
11. C₂×#11719407	C₂	semidirect
12. C₂×#11719407	C₂	semidirect
13. C₂×#11719407	C₂	semidirect
14. C₂×#11719341	C₂	semidirect
15. C₂×#11719355	C₂	semidirect
16. C₂×#11719413	C₂	semidirect
17. C₂×#11719328	C₂	semidirect
18. C₂×#11719434	C₂	semidirect
21. C₂×#11719436	C₂	semidirect
22. C₂×#11719330	C₂	semidirect
23. C₂×#11719401	C₂	semidirect
24. C₂×#11719401	C₂	semidirect
25. C₂×#11719406	C₂	semidirect
26. C₂×#11719406	C₂	semidirect
27. C₂×#11719406	C₂	semidirect
28. C₂×#11719406	C₂	semidirect
29. C₂×#11719327	C₂	semidirect
30. C₂×#11719327	C₂	semidirect
32. C₂×C₁₃×#563	C₂	semidirect
33. C₁₃×#563	C₂²	semidirect
73. #11719436	C₂²	semidirect
74. #11719434	C₂²	semidirect
75. #11719427	C₂²	semidirect
76. #11719426	C₂²	semidirect
77. #11719413	C₂²	semidirect
78. #11719407	C₂²	semidirect
79. #11719407	C₂²	semidirect
80. #11719407	C₂²	semidirect
81. #11719406	C₂²	semidirect
82. #11719406	C₂²	semidirect
83. #11719406	C₂²	semidirect
84. #11719406	C₂²	semidirect
85. #11719401	C₂²	semidirect
86. #11719401	C₂²	semidirect
87. #11719390	C₂²	semidirect
88. #11719390	C₂²	semidirect
89. #11719376	C₂²	semidirect
92. #11719356	C₂²	semidirect
93. #11719355	C₂²	semidirect
95. #11719351	C₂²	semidirect
96. #11719351	C₂²	semidirect
97. #11719346	C₂²	semidirect
98. #11719341	C₂²	semidirect
99. #11719330	C₂²	semidirect
100. #11719328	C₂²	semidirect
101. #11719327	C₂²	semidirect
102. #11719327	C₂²	semidirect
745. C₂×#563	D₁₃	semidirect
870. #563	C₂×D₁₃	semidirect
1409. C₂×C₁₃	#3555	semidirect
1625. C₁₃	C₂×#3555	semidirect
1767. C₂	#13129315	direct (N × H)

Maximal subgroups

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

subgroup	index
#13129315	2
C₂×#11719356	2
C₂×#11719351	2
C₂×#11719427	2
C₂×#11719390	2
C₂×#11719426	2
C₂×#11719346	2
C₂×#11719376	2
C₂×#11719407	2
C₂×#11719341	2
C₂×#11719355	2
C₂×#11719413	2
C₂×#11719328	2
C₂×#11719434	2
C₂×#11719367	2
C₂×#11719374	2
C₂×#11719436	2
C₂×#11719330	2
C₂×#11719401	2
C₂×#11719406	2
C₂×#11719327	2
C₂×#11719354	2
C₂×C₁₃×#563	2
C₂×#3555	13

Subgroups — C2×#13129315 #16770626

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13129315 #16770626