Subgroups — C₂×#13129288 #16770688

Order 3328.

6566 conjugacy classes of subgroups.

The subgroup lattice has 1836 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13129288	C₂	1	32	yes	maximal, direct product factor
2	C₂×C₁₃⋊#564	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#11719351	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#11719440	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#11719352	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#11719340	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#11719341	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#11719341	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#11719245	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#11719245	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#11719219	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#11719270	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#11719286	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#11719218	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#11719344	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#11719398	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#11719436	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#11719330	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#11719401	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#11719288	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#11719350	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#11719350	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#11719397	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#11719220	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#11719343	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#11719343	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×#11719269	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#11719269	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×#11719329	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#11719243	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂²×#88143	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×#554	C₂	1	1	yes	maximal, characteristic, complemented
33	C₁₃×#554	C₂²	1	16	yes	complemented
34	C₂×C₁₃×C₄⋊Q₈	C₂²	1	1	yes	characteristic
35	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
36	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
37	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
38	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
39	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
40	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
41	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
42	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
43	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic
44	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
45	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
47	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
48	C₂²×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
49	C₂×#88201	C₂²	1	1	yes	characteristic
50	C₂×#88200	C₂²	1	1	yes	characteristic
51	C₂×#88200	C₂²	1	1	yes	characteristic
52	C₂×#88200	C₂²	1	1	yes	characteristic
53	C₂×#88200	C₂²	1	1	yes	characteristic
54	C₂×#88200	C₂²	1	1	yes	characteristic
55	C₂×#88200	C₂²	1	1	yes	characteristic
56	C₂×#88200	C₂²	1	1	yes	characteristic
57	C₂×Q₈×Dic₁₃	C₂²	1	1	yes	characteristic
58	C₂×Q₈×Dic₁₃	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×#88193	C₂²	1	1	yes	characteristic
63	C₂×#88193	C₂²	1	1	yes	characteristic
64	C₂×#88189	C₂²	1	1	yes	characteristic
65	C₂×#88184	C₂²	1	1	yes	characteristic
66	C₂×#88184	C₂²	1	1	yes	characteristic
67	C₂×#88184	C₂²	1	1	yes	characteristic
68	C₂×#88184	C₂²	1	1	yes	characteristic
69	C₂×#88183	C₂²	1	1	yes	characteristic
70	C₂×#88183	C₂²	1	1	yes	characteristic
71	C₂×#88183	C₂²	1	1	yes	characteristic
72	C₂×#88183	C₂²	1	1	yes	characteristic
73	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
74	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
75	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
76	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
77	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
78	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
79	C₂×#88180	C₂²	1	1	yes	characteristic
80	C₂×#88180	C₂²	1	1	yes	characteristic
81	C₂²×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
82	C₂×#88178	C₂²	1	1	yes	characteristic
83	C₂×#88178	C₂²	1	1	yes	characteristic
84	C₂²×#6101	C₂²	1	1	yes	characteristic
85	C₂²×#6101	C₂²	1	1	yes	characteristic
86	C₂²×#6101	C₂²	1	1	yes	characteristic
87	C₂²×#6101	C₂²	1	1	yes	characteristic
88	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic
89	#11719440	C₂²	1	16	yes	complemented
90	#11719436	C₂²	1	16	yes	complemented
91	#11719401	C₂²	1	16	yes	complemented
92	#11719398	C₂²	1	16	yes	complemented
93	#11719397	C₂²	1	16	yes	complemented
94	C₁₃⋊#564	C₂²	1	16	yes	complemented
95	#11719352	C₂²	1	16	yes	complemented
96	#11719351	C₂²	1	16	yes	complemented
97	#11719350	C₂²	1	16	yes	complemented
98	#11719350	C₂²	1	16	yes	complemented
99	#11719344	C₂²	1	16	yes	complemented
100	#11719343	C₂²	1	16	yes	complemented
101	#11719343	C₂²	1	16	yes	complemented
102	#11719341	C₂²	1	16	yes	complemented
103	#11719341	C₂²	1	16	yes	complemented
104	#11719340	C₂²	1	16	yes	complemented
105	#11719330	C₂²	1	16	yes	complemented
106	#11719329	C₂²	1	16	yes	complemented
107	#11719288	C₂²	1	16	yes	complemented
108	#11719286	C₂²	1	16	yes	complemented
109	#11719270	C₂²	1	16	yes	complemented
110	#11719269	C₂²	1	16	yes	complemented
111	#11719269	C₂²	1	16	yes	complemented
112	#11719245	C₂²	1	16	yes	complemented
113	#11719245	C₂²	1	16	yes	complemented
114	#11719243	C₂²	1	16	yes	complemented
115	#11719220	C₂²	1	16	yes	complemented
116	#11719219	C₂²	1	16	yes	complemented
117	#11719218	C₂²	1	16	yes	complemented
118	C₂×#88152	C₂²	1	1	yes	characteristic
119	C₂×#88152	C₂²	1	1	yes	characteristic
120	C₂×#88152	C₂²	1	1	yes	characteristic
121	C₂×#88152	C₂²	1	1	yes	characteristic
122	C₂×#88152	C₂²	1	1	yes	characteristic
123	C₂×#88152	C₂²	1	1	yes	characteristic
124	C₂×#88152	C₂²	1	1	yes	characteristic
125	C₂×#88152	C₂²	1	1	yes	characteristic
126	C₂×#88152	C₂²	1	1	yes	characteristic
127	C₂×#88152	C₂²	1	1	yes	characteristic
128	C₂×#88152	C₂²	1	1	yes	characteristic
129	C₂×#88151	C₂²	1	1	yes	characteristic
130	C₂×#88151	C₂²	1	1	yes	characteristic
131	C₂×#88150	C₂²	1	1	yes	characteristic
132	C₂×#88150	C₂²	1	1	yes	characteristic
133	C₂×#88150	C₂²	1	1	yes	characteristic
134	C₂×#88150	C₂²	1	1	yes	characteristic
135	C₂×#88150	C₂²	1	1	yes	characteristic
136	C₂×#88150	C₂²	1	1	yes	characteristic
137	C₂×#88149	C₂²	1	1	yes	characteristic
138	C₂×#88148	C₂²	1	1	yes	characteristic
139	C₂×#88148	C₂²	1	1	yes	characteristic
140	C₂×#88148	C₂²	1	1	yes	characteristic
141	C₂×#88148	C₂²	1	1	yes	characteristic
142	C₂×#88148	C₂²	1	1	yes	characteristic
143	C₂×#88148	C₂²	1	1	yes	characteristic
144	C₂×#88148	C₂²	1	1	yes	characteristic
145	C₂×#88148	C₂²	1	1	yes	characteristic
146	C₂×#88147	C₂²	1	1	yes	characteristic
147	C₂×#88147	C₂²	1	1	yes	characteristic
148	C₂×#88146	C₂²	1	1	yes	characteristic
149	C₂×#88146	C₂²	1	1	yes	characteristic
150	C₂×#88146	C₂²	1	1	yes	characteristic
151	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
152	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
153	C₂×C₄⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
154	C₂×#88144	C₂²	1	1	yes	characteristic
155	C₂×#88144	C₂²	1	1	yes	characteristic
156	C₂×#88144	C₂²	1	1	yes	characteristic
157	C₂×#88144	C₂²	1	1	yes	characteristic
158	C₂×#88144	C₂²	1	1	yes	characteristic
159	C₂×#88144	C₂²	1	1	yes	characteristic
160	C₂×#88143	C₂²	1	1	yes	characteristic
161	C₂×#88143	C₂²	1	1	yes	characteristic
162	C₂×#88143	C₂²	1	1	yes	characteristic
163	C₂×#88143	C₂²	1	1	yes	characteristic
164	C₂×#88143	C₂²	1	1	yes	characteristic
165	C₂×#88143	C₂²	1	1	yes	characteristic
166	C₂×#88143	C₂²	1	1	yes	characteristic
167	C₂×#88143	C₂²	1	1	yes	characteristic
168	C₂×#88143	C₂²	1	1	yes	characteristic
169	C₂×#88143	C₂²	1	1	yes	characteristic
170	C₂×#88143	C₂²	1	1	yes	characteristic
171	C₂×#88143	C₂²	1	1	yes	characteristic
172	C₂×#88143	C₂²	1	1	yes	characteristic
173	C₂×#88143	C₂²	1	1	yes	characteristic
174	C₂×#88143	C₂²	1	1	yes	characteristic
175	C₂×#88143	C₂²	1	1	yes	characteristic
176	C₂×#88143	C₂²	1	1	yes	characteristic
177	C₂×#88143	C₂²	1	1	yes	characteristic
178	C₂×#88143	C₂²	1	1	yes	characteristic
179	C₂×#88143	C₂²	1	16	yes	complemented
180	C₂×#88142	C₂²	1	1	yes	characteristic
181	C₂×#88141	C₂²	1	1	yes	characteristic
182	C₂×#88141	C₂²	1	1	yes	characteristic
183	C₂×#88140	C₂²	1	1	yes	characteristic
184	C₂×#88140	C₂²	1	1	yes	characteristic
185	C₂×#88140	C₂²	1	1	yes	characteristic
186	C₂×#88139	C₂²	1	1	yes	characteristic
187	C₂×#88138	C₂²	1	1	yes	characteristic
188	C₂×#88138	C₂²	1	1	yes	characteristic
189	C₂×#88137	C₂²	1	1	yes	characteristic
190	C₂×#88137	C₂²	1	1	yes	characteristic
191	C₂×#88137	C₂²	1	1	yes	characteristic
192	C₂×#88137	C₂²	1	1	yes	characteristic
193	C₂×#88135	C₂²	1	1	yes	characteristic
194	C₂×#88135	C₂²	1	1	yes	characteristic
195	C₂×#88135	C₂²	1	1	yes	characteristic
196	C₂×#88135	C₂²	1	1	yes	characteristic
197	C₂×#88135	C₂²	1	1	yes	characteristic
198	C₂×#88135	C₂²	1	1	yes	characteristic
199	C₂×#88133	C₂²	1	1	yes	characteristic
200	C₂×#88133	C₂²	1	1	yes	characteristic
201	C₂×#88133	C₂²	1	1	yes	characteristic
202	C₂×#88133	C₂²	1	1	yes	characteristic
203	C₂×#88133	C₂²	1	1	yes	characteristic
204	C₂×#88132	C₂²	1	1	yes	characteristic
205	C₂×#88132	C₂²	1	1	yes	characteristic
206	C₂×#88132	C₂²	1	1	yes	characteristic
207	C₂×#88130	C₂²	1	1	yes	characteristic
208	C₂×#88130	C₂²	1	1	yes	characteristic
209	C₂×#88130	C₂²	1	1	yes	characteristic
210	C₂×#88130	C₂²	1	1	yes	characteristic
211	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
212	C₂×#88126	C₂²	1	1	yes	characteristic
213	C₂×#88126	C₂²	1	1	yes	characteristic
214	C₂×#88126	C₂²	1	1	yes	characteristic
215	C₂×#88124	C₂²	1	1	yes	characteristic
216	C₂×#88124	C₂²	1	1	yes	characteristic
217	C₂×#88124	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	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
226	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
227	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
228	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
229	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
230	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
231	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
232	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
233	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
234	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
235	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
236	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
237	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
238	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
239	C₂²×D₅₂	C₂³	1	1	yes	characteristic
240	C₂²×D₅₂	C₂³	1	1	yes	characteristic
241	C₂²×D₅₂	C₂³	1	1	yes	characteristic
242	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
243	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
244	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
245	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
246	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
247	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
248	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
249	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
250	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
251	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
252	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
253	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
254	C₁₃×C₄⋊Q₈	C₂³	1	8	yes	—
255	C₁₃×#125	C₂³	1	8	yes	—
256	C₁₃×#125	C₂³	1	8	yes	—
257	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
258	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
259	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
260	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
261	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
262	C₁₃×C₂²⋊Q₈	C₂³	1	8	yes	—
263	C₄×Q₈×C₁₃	C₂³	1	8	yes	—
264	C₄×D₄×C₁₃	C₂³	1	8	yes	—
265	C₄×D₄×C₁₃	C₂³	1	8	yes	—
266	C₄×D₄×C₁₃	C₂³	1	8	yes	—
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×C₄⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
284	C₂×C₁₃×C₄⋊C₄	C₂³	1	8	yes	—
285	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
292	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
293	C₂×C₄²×C₁₃	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	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
299	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
300	#88201	C₂³	1	8	yes	—
301	#88200	C₂³	1	8	yes	—
302	#88200	C₂³	1	8	yes	—
303	#88200	C₂³	1	8	yes	—
304	#88200	C₂³	1	8	yes	—
305	#88200	C₂³	1	8	yes	—
306	#88200	C₂³	1	8	yes	—
307	#88200	C₂³	1	8	yes	—
308	Q₈×Dic₁₃	C₂³	1	8	yes	—
309	Q₈×Dic₁₃	C₂³	1	8	yes	—
310	#88198	C₂³	1	8	yes	—
311	#88198	C₂³	1	8	yes	—
312	#88193	C₂³	1	8	yes	—
313	#88193	C₂³	1	8	yes	—
314	#88193	C₂³	1	8	yes	—
315	#88189	C₂³	1	8	yes	—
316	#88184	C₂³	1	8	yes	—
317	#88184	C₂³	1	8	yes	—
318	#88184	C₂³	1	8	yes	—
319	#88184	C₂³	1	8	yes	—
320	#88183	C₂³	1	8	yes	—
321	#88183	C₂³	1	8	yes	—
322	#88183	C₂³	1	8	yes	—
323	#88183	C₂³	1	8	yes	—
324	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
325	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
326	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
327	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
328	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
329	C₄×C₂²⋊D₁₃	C₂³	1	8	yes	—
330	C₂×#6103	C₂³	1	1	yes	characteristic
331	C₂×#6103	C₂³	1	1	yes	characteristic
332	C₂×#6103	C₂³	1	1	yes	characteristic
333	C₂×#6103	C₂³	1	1	yes	characteristic
334	C₂×#6103	C₂³	1	1	yes	characteristic
335	C₂×#6103	C₂³	1	1	yes	characteristic
336	C₂×#6103	C₂³	1	1	yes	characteristic
337	C₂×#6103	C₂³	1	1	yes	characteristic
338	C₂×#6103	C₂³	1	1	yes	characteristic
339	C₂×#6103	C₂³	1	1	yes	characteristic
340	C₂×#6103	C₂³	1	1	yes	characteristic
341	C₂×#6103	C₂³	1	1	yes	characteristic
342	C₂×#6103	C₂³	1	1	yes	characteristic
343	C₂×#6103	C₂³	1	1	yes	characteristic
344	C₂×#6103	C₂³	1	1	yes	characteristic
345	C₂×#6103	C₂³	1	1	yes	characteristic
346	C₂×#6103	C₂³	1	1	yes	characteristic
347	C₂×#6103	C₂³	1	1	yes	characteristic
348	C₂×#6103	C₂³	1	1	yes	characteristic
349	C₂×#6103	C₂³	1	1	yes	characteristic
350	C₂×#6103	C₂³	1	1	yes	characteristic
351	C₂×#6103	C₂³	1	1	yes	characteristic
352	C₂×#6103	C₂³	1	1	yes	characteristic
353	C₂×#6103	C₂³	1	1	yes	characteristic
354	#88180	C₂³	1	8	yes	—
355	#88180	C₂³	1	8	yes	—
356	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
357	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
358	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
359	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
360	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
361	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
362	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
363	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
364	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
365	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
366	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
367	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
368	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
369	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
370	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
371	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
372	C₂×C₄⋊Dic₁₃	C₂³	1	8	yes	—
373	#88178	C₂³	1	8	yes	—
374	#88178	C₂³	1	8	yes	—
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	1	yes	characteristic
389	C₂×#6101	C₂³	1	1	yes	characteristic
390	C₂×#6101	C₂³	1	1	yes	characteristic
391	C₂×#6101	C₂³	1	1	yes	characteristic
392	C₂×#6101	C₂³	1	1	yes	characteristic
393	C₂×#6101	C₂³	1	1	yes	characteristic
394	C₂×#6101	C₂³	1	1	yes	characteristic
395	C₂×#6101	C₂³	1	1	yes	characteristic
396	C₂×#6101	C₂³	1	1	yes	characteristic
397	C₂×#6101	C₂³	1	1	yes	characteristic
398	C₂×#6101	C₂³	1	1	yes	characteristic
399	C₂×#6101	C₂³	1	1	yes	characteristic
400	C₂×#6101	C₂³	1	1	yes	characteristic
401	C₂×#6101	C₂³	1	1	yes	characteristic
402	C₂×#6101	C₂³	1	1	yes	characteristic
403	C₂×#6101	C₂³	1	1	yes	characteristic
404	C₂×#6101	C₂³	1	1	yes	characteristic
405	C₂×#6101	C₂³	1	1	yes	characteristic
406	C₂×#6101	C₂³	1	1	yes	characteristic
407	C₂×#6101	C₂³	1	1	yes	characteristic
408	C₂×#6101	C₂³	1	1	yes	characteristic
409	C₂×#6101	C₂³	1	1	yes	characteristic
410	C₂×#6101	C₂³	1	1	yes	characteristic
411	C₂×#6101	C₂³	1	8	yes	—
412	C₂×#6101	C₂³	1	8	yes	—
413	C₂×#6101	C₂³	1	8	yes	—
414	C₂×#6101	C₂³	1	8	yes	—
415	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
416	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
417	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
418	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
419	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
420	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
421	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
422	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
423	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
424	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
425	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
426	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
427	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
428	C₂×C₄×Dic₁₃	C₂³	1	8	yes	—
429	#88152	C₂³	1	8	yes	—
430	#88152	C₂³	1	8	yes	—
431	#88152	C₂³	1	8	yes	—
432	#88152	C₂³	1	8	yes	—
433	#88152	C₂³	1	8	yes	—
434	#88152	C₂³	1	8	yes	—
435	#88152	C₂³	1	8	yes	—
436	#88152	C₂³	1	8	yes	—
437	#88152	C₂³	1	8	yes	—
438	#88152	C₂³	1	8	yes	—
439	#88152	C₂³	1	8	yes	—
440	#88151	C₂³	1	8	yes	—
441	#88151	C₂³	1	8	yes	—
442	#88150	C₂³	1	8	yes	—
443	#88150	C₂³	1	8	yes	—
444	#88150	C₂³	1	8	yes	—
445	#88150	C₂³	1	8	yes	—
446	#88150	C₂³	1	8	yes	—
447	#88150	C₂³	1	8	yes	—
448	#88149	C₂³	1	8	yes	—
449	#88148	C₂³	1	8	yes	—
450	#88148	C₂³	1	8	yes	—
451	#88148	C₂³	1	8	yes	—
452	#88148	C₂³	1	8	yes	—
453	#88148	C₂³	1	8	yes	—
454	#88148	C₂³	1	8	yes	—
455	#88148	C₂³	1	8	yes	—
456	#88148	C₂³	1	8	yes	—
457	#88147	C₂³	1	8	yes	—
458	#88147	C₂³	1	8	yes	—
459	#88146	C₂³	1	8	yes	—
460	#88146	C₂³	1	8	yes	—
461	#88146	C₂³	1	8	yes	—
462	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
463	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
464	C₄⋊C₄×D₁₃	C₂³	1	8	yes	—
465	#88144	C₂³	1	8	yes	—
466	#88144	C₂³	1	8	yes	—
467	#88144	C₂³	1	8	yes	—
468	#88144	C₂³	1	8	yes	—
469	#88144	C₂³	1	8	yes	—
470	#88144	C₂³	1	8	yes	—
471	#88143	C₂³	1	8	yes	—
472	#88143	C₂³	1	8	yes	—
473	#88143	C₂³	1	8	yes	—
474	#88143	C₂³	1	8	yes	—
475	#88143	C₂³	1	8	yes	—
476	#88143	C₂³	1	8	yes	—
477	#88143	C₂³	1	8	yes	—
478	#88143	C₂³	1	8	yes	—
479	#88143	C₂³	1	8	yes	—
480	#88143	C₂³	1	8	yes	—
481	#88143	C₂³	1	8	yes	—
482	#88143	C₂³	1	8	yes	—
483	#88143	C₂³	1	8	yes	—
484	#88143	C₂³	1	8	yes	—
485	#88143	C₂³	1	8	yes	—
486	#88143	C₂³	1	8	yes	—
487	#88143	C₂³	1	8	yes	—
488	#88143	C₂³	1	8	yes	—
489	#88143	C₂³	1	8	yes	—
490	#88142	C₂³	1	8	yes	—
491	#88141	C₂³	1	8	yes	—
492	#88141	C₂³	1	8	yes	—
493	#88140	C₂³	1	8	yes	—
494	#88140	C₂³	1	8	yes	—
495	#88140	C₂³	1	8	yes	—
496	#88139	C₂³	1	8	yes	—
497	#88138	C₂³	1	8	yes	—
498	#88138	C₂³	1	8	yes	—
499	#88137	C₂³	1	8	yes	—
500	#88137	C₂³	1	8	yes	—
501	#88137	C₂³	1	8	yes	—
502	#88137	C₂³	1	8	yes	—
503	#88135	C₂³	1	8	yes	—
504	#88135	C₂³	1	8	yes	—
505	#88135	C₂³	1	8	yes	—
506	#88135	C₂³	1	8	yes	—
507	#88135	C₂³	1	8	yes	—
508	#88135	C₂³	1	8	yes	—
509	#88133	C₂³	1	8	yes	—
510	#88133	C₂³	1	8	yes	—
511	#88133	C₂³	1	8	yes	—
512	#88133	C₂³	1	8	yes	—
513	#88133	C₂³	1	8	yes	—
514	#88132	C₂³	1	8	yes	—
515	#88132	C₂³	1	8	yes	—
516	#88132	C₂³	1	8	yes	—
517	#88130	C₂³	1	8	yes	—
518	#88130	C₂³	1	8	yes	—
519	#88130	C₂³	1	8	yes	—
520	#88130	C₂³	1	8	yes	—
521	C₄×D₅₂	C₂³	1	8	yes	—
522	#88126	C₂³	1	8	yes	—
523	#88126	C₂³	1	8	yes	—
524	#88126	C₂³	1	8	yes	—
525	#88124	C₂³	1	8	yes	—
526	#88124	C₂³	1	8	yes	—
527	#88124	C₂³	1	8	yes	—
528	C₄×Dic₂₆	C₂³	1	8	yes	—
529	C₂×#3553	—	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	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
534	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
535	C₂×Q₈×C₁₃	—	4	2	no	—
536	C₂×Q₈×C₁₃	—	4	2	no	—
537	C₂×Q₈×C₁₃	—	4	2	no	—
538	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
539	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
540	C₂×Q₈×C₁₃	C₂⁴	1	4	yes	—
541	C₂×D₄×C₁₃	—	2	4	no	—
542	C₂×D₄×C₁₃	C₂⁴	1	4	yes	—
543	C₂²×C₄×C₁₃	—	4	2	no	—
544	C₂²×C₄×C₁₃	—	4	2	no	—
545	C₂²×C₄×C₁₃	—	4	2	no	—
546	C₂²×C₄×C₁₃	—	4	2	no	—
547	C₂²×C₄×C₁₃	—	4	2	no	—
548	C₂²×C₄×C₁₃	—	4	2	no	—
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	1	yes	characteristic
557	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
558	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
559	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
560	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
561	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
562	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
563	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
564	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
565	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
566	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
567	C₂²×C₄×C₁₃	C₂⁴	1	4	yes	—
568	C₂×C₂²⋊D₁₃	—	2	4	no	—
569	C₂×C₂²⋊D₁₃	—	2	4	no	—
570	C₂×C₂²⋊D₁₃	—	2	4	no	—
571	C₂×C₂²⋊D₁₃	—	4	2	no	—
572	C₂×C₂²⋊D₁₃	—	4	2	no	—
573	C₂×C₂²⋊D₁₃	—	4	2	no	—
574	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
575	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
576	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
577	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
578	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
579	C₂×C₂²⋊D₁₃	C₂⁴	1	4	yes	—
580	C₂²×Dic₁₃	—	2	4	no	—
581	C₂²×Dic₁₃	—	4	2	no	—
582	C₂²×Dic₁₃	—	4	2	no	—
583	C₂²×Dic₁₃	—	4	2	no	—
584	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
585	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
586	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
587	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
588	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
589	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
590	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
591	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
592	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
593	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
594	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
595	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
596	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
597	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
598	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
599	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
600	C₂²×Dic₁₃	C₂⁴	1	4	yes	—
601	C₂×D₅₂	—	4	2	no	—
602	C₂×D₅₂	—	4	2	no	—
603	C₂×D₅₂	—	4	2	no	—
604	C₂×D₅₂	C₂⁴	1	4	yes	—
605	C₂×D₅₂	C₂⁴	1	4	yes	—
606	C₂×D₅₂	C₂⁴	1	4	yes	—
607	C₂×C₄×D₁₃	—	4	2	no	—
608	C₂×C₄×D₁₃	—	4	2	no	—
609	C₂×C₄×D₁₃	—	4	2	no	—
610	C₂×C₄×D₁₃	—	4	2	no	—
611	C₂×C₄×D₁₃	—	4	2	no	—
612	C₂×C₄×D₁₃	—	4	2	no	—
613	C₂×C₄×D₁₃	—	4	2	no	—
614	C₂×C₄×D₁₃	—	4	2	no	—
615	C₂×C₄×D₁₃	—	4	2	no	—
616	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
617	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
618	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
619	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
620	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
621	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
622	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
623	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
624	C₂×C₄×D₁₃	C₂⁴	1	4	yes	—
625	C₂×Dic₂₆	—	4	2	no	—
626	C₂×Dic₂₆	—	4	2	no	—
627	C₂×Dic₂₆	—	4	2	no	—
628	C₂×Dic₂₆	C₂⁴	1	4	yes	—
629	C₂×Dic₂₆	C₂⁴	1	4	yes	—
630	C₂×Dic₂₆	C₂⁴	1	4	yes	—
631	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
632	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
633	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
634	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
635	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
636	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
637	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
638	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
639	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
640	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
641	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
642	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
643	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
644	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
645	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
646	C₁₃×C₄⋊C₄	C₂⁴	1	4	yes	—
647	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
648	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
649	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
650	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
651	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
652	C₁₃×C₂²⋊C₄	C₂⁴	1	4	yes	—
653	C₄²×C₁₃	C₂⁴	1	4	yes	—
654	C₄²×C₁₃	C₂⁴	1	4	yes	—
655	C₄²×C₁₃	C₂⁴	1	4	yes	—
656	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
657	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
658	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
659	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
660	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
661	C₂²⋊Dic₁₃	C₂⁴	1	4	yes	—
662	#6103	C₂⁴	1	4	yes	—
663	#6103	C₂⁴	1	4	yes	—
664	#6103	C₂⁴	1	4	yes	—
665	#6103	C₂⁴	1	4	yes	—
666	#6103	C₂⁴	1	4	yes	—
667	#6103	C₂⁴	1	4	yes	—
668	#6103	C₂⁴	1	4	yes	—
669	#6103	C₂⁴	1	4	yes	—
670	#6103	C₂⁴	1	4	yes	—
671	#6103	C₂⁴	1	4	yes	—
672	#6103	C₂⁴	1	4	yes	—
673	#6103	C₂⁴	1	4	yes	—
674	#6103	C₂⁴	1	4	yes	—
675	#6103	C₂⁴	1	4	yes	—
676	#6103	C₂⁴	1	4	yes	—
677	#6103	C₂⁴	1	4	yes	—
678	#6103	C₂⁴	1	4	yes	—
679	#6103	C₂⁴	1	4	yes	—
680	#6103	C₂⁴	1	4	yes	—
681	#6103	C₂⁴	1	4	yes	—
682	#6103	C₂⁴	1	4	yes	—
683	#6103	C₂⁴	1	4	yes	—
684	#6103	C₂⁴	1	4	yes	—
685	#6103	C₂⁴	1	4	yes	—
686	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
687	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
688	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
689	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
690	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
691	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
692	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
693	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
694	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
695	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
696	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
697	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
698	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
699	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
700	C₄⋊Dic₁₃	C₂⁴	1	4	yes	—
701	C₄⋊Dic₁₃	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	#6101	C₂⁴	1	4	yes	—
719	#6101	C₂⁴	1	4	yes	—
720	#6101	C₂⁴	1	4	yes	—
721	#6101	C₂⁴	1	4	yes	—
722	#6101	C₂⁴	1	4	yes	—
723	#6101	C₂⁴	1	4	yes	—
724	#6101	C₂⁴	1	4	yes	—
725	#6101	C₂⁴	1	4	yes	—
726	#6101	C₂⁴	1	4	yes	—
727	#6101	C₂⁴	1	4	yes	—
728	#6101	C₂⁴	1	4	yes	—
729	#6101	C₂⁴	1	4	yes	—
730	#6101	C₂⁴	1	4	yes	—
731	#6101	C₂⁴	1	4	yes	—
732	#6101	C₂⁴	1	4	yes	—
733	#6101	C₂⁴	1	4	yes	—
734	#6101	C₂⁴	1	4	yes	—
735	#6101	C₂⁴	1	4	yes	—
736	#6101	C₂⁴	1	4	yes	—
737	#6101	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	C₄×Dic₁₃	C₂⁴	1	4	yes	—
742	C₄×Dic₁₃	C₂⁴	1	4	yes	—
743	C₄×Dic₁₃	C₂⁴	1	4	yes	—
744	C₄×Dic₁₃	C₂⁴	1	4	yes	—
745	C₄×Dic₁₃	C₂⁴	1	4	yes	—
746	C₄×Dic₁₃	C₂⁴	1	4	yes	—
747	C₄×Dic₁₃	C₂⁴	1	4	yes	—
748	C₄×Dic₁₃	C₂⁴	1	4	yes	—
749	C₄×Dic₁₃	C₂⁴	1	4	yes	—
750	C₄×Dic₁₃	C₂⁴	1	4	yes	—
751	#3553	—	13	32	no	—
752	C₂×#564	—	13	1	no	—
753	C₂×#563	—	13	1	no	—
754	C₂×#563	—	13	1	no	—
755	C₂×#562	—	13	1	no	—
756	C₂×#554	—	13	1	no	—
757	C₂×#554	—	13	1	no	—
758	C₂×#554	—	13	1	no	—
759	C₂×#554	D₁₃	1	1	yes	characteristic, complemented
760	C₂×#553	—	13	1	no	—
761	C₂×#553	—	13	1	no	—
762	C₂×#553	—	13	1	no	—
763	C₂×#553	—	13	1	no	—
764	C₂×#552	—	13	1	no	—
765	C₂×#552	—	13	1	no	—
766	C₂×#552	—	13	1	no	—
767	C₂×#552	—	13	1	no	—
768	C₂×#541	—	13	1	no	—
769	C₂×#541	—	13	1	no	—
770	C₂×#541	—	13	1	no	—
771	C₂×#541	—	13	1	no	—
772	C₂×#539	—	13	1	no	—
773	C₂×#539	—	13	1	no	—
774	C₂×#539	—	13	1	no	—
775	C₂×#539	—	13	1	no	—
776	C₂×#539	—	13	1	no	—
777	C₂×#539	—	13	1	no	—
778	C₂×#539	—	13	1	no	—
779	C₂×#539	—	13	1	no	—
780	C₂×#529	—	13	1	no	—
781	C₂×#529	—	13	1	no	—
782	C₂²×#125	—	13	1	no	—
783	C₂³×C₁₃	—	2	2	no	—
784	C₂³×C₁₃	—	2	2	no	—
785	C₂³×C₁₃	—	2	2	no	—
786	C₂³×C₁₃	—	2	2	no	—
787	C₂³×C₁₃	—	2	2	no	—
788	C₂³×C₁₃	2₋¹⁺⁴	1	4	yes	—
789	C₂³×C₁₃	C₂⁵	1	2	yes	—
790	C₂³×C₁₃	C₂⁵	1	2	yes	—
791	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
792	C₂²×D₁₃	—	2	2	no	—
793	C₂²×D₁₃	—	2	2	no	—
794	C₂²×D₁₃	—	2	2	no	—
795	C₂²×D₁₃	—	2	2	no	—
796	C₂²×D₁₃	—	2	2	no	—
797	C₂²×D₁₃	—	2	2	no	—
798	C₂²×D₁₃	—	2	2	no	—
799	C₂²×D₁₃	—	2	2	no	—
800	C₂²×D₁₃	—	2	2	no	—
801	C₂²×D₁₃	C₂⁵	1	2	yes	—
802	C₂²×D₁₃	C₂⁵	1	2	yes	—
803	C₂²×D₁₃	C₂⁵	1	2	yes	—
804	Q₈×C₁₃	—	4	4	no	—
805	Q₈×C₁₃	—	4	4	no	—
806	Q₈×C₁₃	—	4	4	no	—
807	D₄×C₁₃	—	2	8	no	—
808	C₂×C₄×C₁₃	—	2	2	no	—
809	C₂×C₄×C₁₃	—	2	2	no	—
810	C₂×C₄×C₁₃	—	2	2	no	—
811	C₂×C₄×C₁₃	—	2	2	no	—
812	C₂×C₄×C₁₃	—	2	2	no	—
813	C₂×C₄×C₁₃	—	2	2	no	—
814	C₂×C₄×C₁₃	—	2	2	no	—
815	C₂×C₄×C₁₃	—	2	2	no	—
816	C₂×C₄×C₁₃	—	2	2	no	—
817	C₂×C₄×C₁₃	—	2	2	no	—
818	C₂×C₄×C₁₃	—	2	2	no	—
819	C₂×C₄×C₁₃	—	2	2	no	—
820	C₂×C₄×C₁₃	—	2	2	no	—
821	C₂×C₄×C₁₃	—	4	4	no	—
822	C₂×C₄×C₁₃	—	4	4	no	—
823	C₂×C₄×C₁₃	—	4	4	no	—
824	C₂×C₄×C₁₃	—	4	4	no	—
825	C₂×C₄×C₁₃	—	4	4	no	—
826	C₂×C₄×C₁₃	—	4	4	no	—
827	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
828	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
829	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
830	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
831	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
832	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
833	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
834	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
835	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
836	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
837	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
838	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
839	C₂×C₄×C₁₃	C₂⁵	1	2	yes	—
840	C₂²⋊D₁₃	—	2	8	no	—
841	C₂²⋊D₁₃	—	2	8	no	—
842	C₂²⋊D₁₃	—	2	8	no	—
843	C₂²⋊D₁₃	—	4	4	no	—
844	C₂²⋊D₁₃	—	4	4	no	—
845	C₂²⋊D₁₃	—	4	4	no	—
846	C₂×Dic₁₃	—	2	8	no	—
847	C₂×Dic₁₃	—	2	2	no	—
848	C₂×Dic₁₃	—	2	2	no	—
849	C₂×Dic₁₃	—	2	2	no	—
850	C₂×Dic₁₃	—	2	2	no	—
851	C₂×Dic₁₃	—	2	2	no	—
852	C₂×Dic₁₃	—	2	2	no	—
853	C₂×Dic₁₃	—	2	2	no	—
854	C₂×Dic₁₃	—	2	2	no	—
855	C₂×Dic₁₃	—	2	2	no	—
856	C₂×Dic₁₃	—	2	2	no	—
857	C₂×Dic₁₃	—	2	2	no	—
858	C₂×Dic₁₃	—	2	2	no	—
859	C₂×Dic₁₃	—	2	2	no	—
860	C₂×Dic₁₃	—	4	4	no	—
861	C₂×Dic₁₃	—	4	4	no	—
862	C₂×Dic₁₃	—	4	4	no	—
863	C₂×Dic₁₃	C₂⁵	1	2	yes	—
864	C₂×Dic₁₃	C₂⁵	1	2	yes	—
865	C₂×Dic₁₃	C₂⁵	1	2	yes	—
866	C₂×Dic₁₃	C₂⁵	1	2	yes	—
867	C₂×Dic₁₃	C₂⁵	1	2	yes	—
868	C₂×Dic₁₃	C₂⁵	1	2	yes	—
869	C₂×Dic₁₃	C₂⁵	1	2	yes	—
870	C₂×Dic₁₃	C₂⁵	1	2	yes	—
871	C₂×Dic₁₃	C₂⁵	1	2	yes	—
872	C₂×Dic₁₃	C₂⁵	1	2	yes	—
873	C₂×Dic₁₃	C₂⁵	1	2	yes	—
874	C₂×Dic₁₃	C₂⁵	1	2	yes	—
875	C₂×Dic₁₃	C₂⁵	1	2	yes	—
876	D₅₂	—	4	4	no	—
877	D₅₂	—	4	4	no	—
878	D₅₂	—	4	4	no	—
879	C₄×D₁₃	—	4	4	no	—
880	C₄×D₁₃	—	4	4	no	—
881	C₄×D₁₃	—	4	4	no	—
882	C₄×D₁₃	—	4	4	no	—
883	C₄×D₁₃	—	4	4	no	—
884	C₄×D₁₃	—	4	4	no	—
885	C₄×D₁₃	—	4	4	no	—
886	C₄×D₁₃	—	4	4	no	—
887	C₄×D₁₃	—	4	4	no	—
888	Dic₂₆	—	4	4	no	—
889	Dic₂₆	—	4	4	no	—
890	Dic₂₆	—	4	4	no	—
891	#564	—	13	16	no	—
892	#563	—	13	16	no	—
893	#563	—	13	16	no	—
894	#562	—	13	16	no	—
895	#554	—	13	16	no	—
896	#554	—	13	16	no	—
897	#554	—	13	16	no	—
898	#554	C₂×D₁₃	1	16	yes	complemented
899	#553	—	13	16	no	—
900	#553	—	13	16	no	—
901	#553	—	13	16	no	—
902	#553	—	13	16	no	—
903	#552	—	13	16	no	—
904	#552	—	13	16	no	—
905	#552	—	13	16	no	—
906	#552	—	13	16	no	—
907	#541	—	13	16	no	—
908	#541	—	13	16	no	—
909	#541	—	13	16	no	—
910	#541	—	13	16	no	—
911	#539	—	13	16	no	—
912	#539	—	13	16	no	—
913	#539	—	13	16	no	—
914	#539	—	13	16	no	—
915	#539	—	13	16	no	—
916	#539	—	13	16	no	—
917	#539	—	13	16	no	—
918	#539	—	13	16	no	—
919	C₂×C₄⋊Q₈	—	13	1	no	—
920	C₂×C₄⋊Q₈	—	13	1	no	—
921	C₂×C₄⋊Q₈	—	13	1	no	—
922	C₂×C₄⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
923	#529	—	13	16	no	—
924	#529	—	13	16	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	—	13	1	no	—
939	C₂×#126	—	13	1	no	—
940	C₂×#126	—	13	1	no	—
941	C₂×#126	—	13	1	no	—
942	C₂×#126	—	13	1	no	—
943	C₂×#126	—	13	1	no	—
944	C₂×#126	—	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	16	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	—	13	1	no	—
970	C₂×#125	—	13	1	no	—
971	C₂×#125	—	13	1	no	—
972	C₂×#125	—	13	1	no	—
973	C₂×#125	—	13	1	no	—
974	C₂×#125	C₂×D₁₃	1	1	yes	characteristic
975	C₂×#125	C₂×D₁₃	1	1	yes	characteristic
976	C₂×#124	—	13	1	no	—
977	C₂×#124	—	13	1	no	—
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	—	13	1	no	—
983	C₂×#123	—	13	1	no	—
984	C₂×#123	—	13	1	no	—
985	C₂×#123	—	13	1	no	—
986	C₂×#123	—	13	1	no	—
987	C₂×#123	—	13	1	no	—
988	C₂×#123	—	13	1	no	—
989	C₂×#123	—	13	1	no	—
990	C₂×#123	—	13	1	no	—
991	C₂×#123	—	13	1	no	—
992	C₂×#123	—	13	1	no	—
993	C₂×#123	—	13	1	no	—
994	C₂×#123	—	13	1	no	—
995	C₂×#123	—	13	1	no	—
996	C₂×#123	—	13	1	no	—
997	C₂×#123	—	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	—	13	1	no	—
1006	C₂×C₂²⋊Q₈	—	13	1	no	—
1007	C₂×C₂²⋊Q₈	—	13	1	no	—
1008	C₂×C₂²⋊Q₈	—	13	1	no	—
1009	C₂×C₂²⋊Q₈	—	13	1	no	—
1010	C₂×C₂²⋊Q₈	—	13	1	no	—
1011	C₂×C₂²⋊Q₈	—	13	1	no	—
1012	C₂×C₂²⋊Q₈	—	13	1	no	—
1013	C₂×C₂²⋊Q₈	—	13	1	no	—
1014	C₂×C₂²⋊Q₈	—	13	1	no	—
1015	C₂×C₂²⋊Q₈	—	13	1	no	—
1016	C₂×C₂²⋊Q₈	—	13	1	no	—
1017	C₂×C₂²⋊Q₈	—	13	1	no	—
1018	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
1019	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
1020	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
1021	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
1022	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
1023	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
1024	C₂×#121	—	13	1	no	—
1025	C₂×#121	—	13	1	no	—
1026	C₂×#121	—	13	1	no	—
1027	C₂×#121	—	13	1	no	—
1028	C₂×#121	—	13	1	no	—
1029	C₂×#121	—	13	1	no	—
1030	C₂×#121	—	13	1	no	—
1031	C₂×#121	—	13	1	no	—
1032	C₂×#121	—	13	1	no	—
1033	C₂×#121	—	13	1	no	—
1034	C₂×C₄×Q₈	—	13	1	no	—
1035	C₂×C₄×Q₈	—	13	1	no	—
1036	C₂×C₄×Q₈	—	13	1	no	—
1037	C₂×C₄×Q₈	—	13	1	no	—
1038	C₂×C₄×Q₈	—	13	1	no	—
1039	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic
1040	C₂×C₄×D₄	—	13	1	no	—
1041	C₂×C₄×D₄	—	13	1	no	—
1042	C₂×C₄×D₄	—	13	1	no	—
1043	C₂×C₄×D₄	—	13	1	no	—
1044	C₂×C₄×D₄	—	13	1	no	—
1045	C₂×C₄×D₄	—	13	1	no	—
1046	C₂×C₄×D₄	—	13	1	no	—
1047	C₂×C₄×D₄	—	13	1	no	—
1048	C₂×C₄×D₄	—	13	1	no	—
1049	C₂×C₄×D₄	—	13	1	no	—
1050	C₂×C₄×D₄	—	13	1	no	—
1051	C₂×C₄×D₄	—	13	1	no	—
1052	C₂×C₄×D₄	—	13	1	no	—
1053	C₂×C₄×D₄	—	13	1	no	—
1054	C₂×C₄×D₄	—	13	1	no	—
1055	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
1056	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
1057	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
1058	C₂×#117	—	13	1	no	—
1059	C₂×#117	—	13	1	no	—
1060	C₂×#117	—	13	1	no	—
1061	C₂×#117	—	13	1	no	—
1062	C₂×#117	—	13	1	no	—
1063	C₂×#117	—	13	1	no	—
1064	C₂×#117	—	13	1	no	—
1065	C₂×#117	—	13	1	no	—
1066	C₂²×C₄⋊C₄	—	13	1	no	—
1067	C₂²×C₄⋊C₄	—	13	1	no	—
1068	C₂²×C₄⋊C₄	—	13	1	no	—
1069	C₂²×C₄⋊C₄	—	13	1	no	—
1070	C₂²×C₄⋊C₄	—	13	1	no	—
1071	C₂²×C₄⋊C₄	—	13	1	no	—
1072	C₂²×C₄⋊C₄	—	13	1	no	—
1073	C₂²×C₄⋊C₄	—	13	1	no	—
1074	C₂²×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
1075	C₂²×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
1076	C₂²×C₄²	—	13	1	no	—
1077	C₂²×C₁₃	—	2	2	no	—
1078	C₂²×C₁₃	—	2	2	no	—
1079	C₂²×C₁₃	—	2	8	no	—
1080	C₂²×C₁₃	—	2	2	no	—
1081	C₂²×C₁₃	—	2	2	no	—
1082	C₂²×C₁₃	—	2	2	no	—
1083	C₂²×C₁₃	—	4	4	no	—
1084	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	4	yes	—
1085	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	2	yes	—
1086	C₂²×C₁₃	#585	1	2	yes	—
1087	C₂²×C₁₃	#585	1	2	yes	—
1088	C₂²×C₁₃	C₂⁶	1	1	yes	characteristic
1089	C₂×D₁₃	—	2	2	no	—
1090	C₂×D₁₃	—	2	2	no	—
1091	C₂×D₁₃	—	2	2	no	—
1092	C₂×D₁₃	—	2	2	no	—
1093	C₂×D₁₃	—	2	2	no	—
1094	C₂×D₁₃	—	2	2	no	—
1095	C₂×D₁₃	—	2	2	no	—
1096	C₂×D₁₃	—	2	2	no	—
1097	C₂×D₁₃	—	2	2	no	—
1098	C₂×D₁₃	—	4	4	no	—
1099	C₂×D₁₃	—	4	4	no	—
1100	C₂×D₁₃	—	4	4	no	—
1101	C₄×C₁₃	—	2	2	no	—
1102	C₄×C₁₃	—	2	2	no	—
1103	C₄×C₁₃	—	2	2	no	—
1104	C₄×C₁₃	—	2	2	no	—
1105	C₄×C₁₃	—	2	2	no	—
1106	C₄×C₁₃	—	2	2	no	—
1107	C₄×C₁₃	—	2	2	no	—
1108	C₄×C₁₃	—	2	2	no	—
1109	C₄×C₁₃	—	2	2	no	—
1110	C₄×C₁₃	—	2	2	no	—
1111	C₄×C₁₃	—	2	2	no	—
1112	C₄×C₁₃	—	2	2	no	—
1113	C₄×C₁₃	—	2	2	no	—
1114	Dic₁₃	—	2	2	no	—
1115	Dic₁₃	—	2	2	no	—
1116	Dic₁₃	—	2	2	no	—
1117	Dic₁₃	—	2	2	no	—
1118	Dic₁₃	—	2	2	no	—
1119	Dic₁₃	—	2	2	no	—
1120	Dic₁₃	—	2	2	no	—
1121	Dic₁₃	—	2	2	no	—
1122	Dic₁₃	—	2	2	no	—
1123	Dic₁₃	—	2	2	no	—
1124	Dic₁₃	—	2	2	no	—
1125	Dic₁₃	—	2	2	no	—
1126	Dic₁₃	—	2	2	no	—
1127	C₂²×Q₈	—	13	1	no	—
1128	C₂²×Q₈	—	13	1	no	—
1129	C₂²×Q₈	—	13	1	no	—
1130	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1131	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1132	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
1133	C₂²×D₄	—	13	1	no	—
1134	C₂²×D₄	—	13	1	no	—
1135	C₂²×D₄	—	13	1	no	—
1136	C₂²×D₄	—	13	1	no	—
1137	C₂²×D₄	—	13	1	no	—
1138	C₂²×D₄	—	13	1	no	—
1139	C₂²×D₄	—	13	1	no	—
1140	C₂²×D₄	—	13	1	no	—
1141	C₂²×D₄	—	13	1	no	—
1142	C₂²×D₄	C₂²×D₁₃	1	1	yes	characteristic
1143	C₂³×C₄	—	13	1	no	—
1144	C₂³×C₄	—	13	1	no	—
1145	C₂³×C₄	—	13	1	no	—
1146	C₂³×C₄	—	13	1	no	—
1147	C₂³×C₄	—	13	1	no	—
1148	C₂³×C₄	—	13	1	no	—
1149	C₂³×C₄	—	13	1	no	—
1150	C₂³×C₄	—	13	1	no	—
1151	C₂³×C₄	—	13	1	no	—
1152	C₂³×C₄	—	13	1	no	—
1153	C₂³×C₄	—	13	1	no	—
1154	C₂³×C₄	—	13	1	no	—
1155	C₂³×C₄	—	13	1	no	—
1156	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1157	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1158	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1159	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1160	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1161	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
1162	C₄⋊Q₈	—	13	8	no	—
1163	C₄⋊Q₈	—	13	8	no	—
1164	C₄⋊Q₈	—	13	8	no	—
1165	C₄⋊Q₈	C₂²×D₁₃	1	8	yes	—
1166	#126	—	13	8	no	—
1167	#126	—	13	8	no	—
1168	#126	—	13	8	no	—
1169	#126	—	13	8	no	—
1170	#126	—	13	8	no	—
1171	#126	—	13	8	no	—
1172	#126	—	13	8	no	—
1173	#126	—	13	8	no	—
1174	#126	—	13	8	no	—
1175	#126	—	13	8	no	—
1176	#126	—	13	8	no	—
1177	#126	—	13	8	no	—
1178	#126	—	13	8	no	—
1179	#126	—	13	8	no	—
1180	#126	—	13	8	no	—
1181	#126	—	13	8	no	—
1182	#126	—	13	8	no	—
1183	#126	—	13	8	no	—
1184	#126	—	13	8	no	—
1185	#126	—	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	—	13	8	no	—
1194	#125	—	13	8	no	—
1195	#125	—	13	8	no	—
1196	#125	—	13	8	no	—
1197	#125	—	13	8	no	—
1198	#125	—	13	8	no	—
1199	#125	—	13	8	no	—
1200	#125	—	13	8	no	—
1201	#125	—	13	8	no	—
1202	#125	—	13	8	no	—
1203	#125	—	13	8	no	—
1204	#125	—	13	8	no	—
1205	#125	—	13	8	no	—
1206	#125	—	13	8	no	—
1207	#125	—	13	8	no	—
1208	#125	—	13	8	no	—
1209	#125	—	13	8	no	—
1210	#125	—	13	8	no	—
1211	#125	—	13	8	no	—
1212	#125	—	13	8	no	—
1213	#125	—	13	8	no	—
1214	#125	C₂²×D₁₃	1	8	yes	—
1215	#125	C₂²×D₁₃	1	8	yes	—
1216	#124	—	13	8	no	—
1217	#124	—	13	8	no	—
1218	#123	—	13	8	no	—
1219	#123	—	13	8	no	—
1220	#123	—	13	8	no	—
1221	#123	—	13	8	no	—
1222	#123	—	13	8	no	—
1223	#123	—	13	8	no	—
1224	#123	—	13	8	no	—
1225	#123	—	13	8	no	—
1226	#123	—	13	8	no	—
1227	#123	—	13	8	no	—
1228	#123	—	13	8	no	—
1229	#123	—	13	8	no	—
1230	#123	—	13	8	no	—
1231	#123	—	13	8	no	—
1232	#123	—	13	8	no	—
1233	#123	—	13	8	no	—
1234	#123	—	13	8	no	—
1235	#123	—	13	8	no	—
1236	#123	—	13	8	no	—
1237	#123	—	13	8	no	—
1238	C₂²⋊Q₈	—	13	8	no	—
1239	C₂²⋊Q₈	—	13	8	no	—
1240	C₂²⋊Q₈	—	13	8	no	—
1241	C₂²⋊Q₈	—	13	8	no	—
1242	C₂²⋊Q₈	—	13	8	no	—
1243	C₂²⋊Q₈	—	13	8	no	—
1244	C₂²⋊Q₈	—	13	8	no	—
1245	C₂²⋊Q₈	—	13	8	no	—
1246	C₂²⋊Q₈	—	13	8	no	—
1247	C₂²⋊Q₈	—	13	8	no	—
1248	C₂²⋊Q₈	—	13	8	no	—
1249	C₂²⋊Q₈	—	13	8	no	—
1250	C₂²⋊Q₈	—	13	8	no	—
1251	C₂²⋊Q₈	—	13	8	no	—
1252	C₂²⋊Q₈	—	13	8	no	—
1253	C₂²⋊Q₈	—	13	8	no	—
1254	C₂²⋊Q₈	—	13	8	no	—
1255	C₂²⋊Q₈	—	13	8	no	—
1256	C₂²⋊Q₈	—	13	8	no	—
1257	C₂²⋊Q₈	—	13	8	no	—
1258	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	—
1259	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	—
1260	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	—
1261	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	—
1262	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	—
1263	C₂²⋊Q₈	C₂²×D₁₃	1	8	yes	—
1264	#121	—	13	8	no	—
1265	#121	—	13	8	no	—
1266	#121	—	13	8	no	—
1267	#121	—	13	8	no	—
1268	#121	—	13	8	no	—
1269	#121	—	13	8	no	—
1270	#121	—	13	8	no	—
1271	#121	—	13	8	no	—
1272	#121	—	13	8	no	—
1273	#121	—	13	8	no	—
1274	C₄×Q₈	—	13	8	no	—
1275	C₄×Q₈	—	13	8	no	—
1276	C₄×Q₈	—	13	8	no	—
1277	C₄×Q₈	—	13	8	no	—
1278	C₄×Q₈	—	13	8	no	—
1279	C₄×Q₈	C₂²×D₁₃	1	8	yes	—
1280	C₄×D₄	—	13	8	no	—
1281	C₄×D₄	—	13	8	no	—
1282	C₄×D₄	—	13	8	no	—
1283	C₄×D₄	—	13	8	no	—
1284	C₄×D₄	—	13	8	no	—
1285	C₄×D₄	—	13	8	no	—
1286	C₄×D₄	—	13	8	no	—
1287	C₄×D₄	—	13	8	no	—
1288	C₄×D₄	—	13	8	no	—
1289	C₄×D₄	—	13	8	no	—
1290	C₄×D₄	—	13	8	no	—
1291	C₄×D₄	—	13	8	no	—
1292	C₄×D₄	—	13	8	no	—
1293	C₄×D₄	—	13	8	no	—
1294	C₄×D₄	—	13	8	no	—
1295	C₄×D₄	C₂²×D₁₃	1	8	yes	—
1296	C₄×D₄	C₂²×D₁₃	1	8	yes	—
1297	C₄×D₄	C₂²×D₁₃	1	8	yes	—
1298	#117	—	13	8	no	—
1299	#117	—	13	8	no	—
1300	#117	—	13	8	no	—
1301	#117	—	13	8	no	—
1302	#117	—	13	8	no	—
1303	#117	—	13	8	no	—
1304	#117	—	13	8	no	—
1305	#117	—	13	8	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	8	no	—
1333	C₂×C₄⋊C₄	—	13	8	no	—
1334	C₂×C₄⋊C₄	—	13	8	no	—
1335	C₂×C₄⋊C₄	—	13	8	no	—
1336	C₂×C₄⋊C₄	—	13	8	no	—
1337	C₂×C₄⋊C₄	—	13	1	no	—
1338	C₂×C₄⋊C₄	—	13	1	no	—
1339	C₂×C₄⋊C₄	—	13	1	no	—
1340	C₂×C₄⋊C₄	—	13	1	no	—
1341	C₂×C₄⋊C₄	—	13	1	no	—
1342	C₂×C₄⋊C₄	—	13	1	no	—
1343	C₂×C₄⋊C₄	—	13	1	no	—
1344	C₂×C₄⋊C₄	—	13	1	no	—
1345	C₂×C₄⋊C₄	—	13	1	no	—
1346	C₂×C₄⋊C₄	—	13	1	no	—
1347	C₂×C₄⋊C₄	—	13	1	no	—
1348	C₂×C₄⋊C₄	—	13	1	no	—
1349	C₂×C₄⋊C₄	—	13	1	no	—
1350	C₂×C₄⋊C₄	—	13	1	no	—
1351	C₂×C₄⋊C₄	—	13	1	no	—
1352	C₂×C₄⋊C₄	—	13	1	no	—
1353	C₂×C₄⋊C₄	—	13	1	no	—
1354	C₂×C₄⋊C₄	—	13	1	no	—
1355	C₂×C₄⋊C₄	—	13	1	no	—
1356	C₂×C₄⋊C₄	—	13	1	no	—
1357	C₂×C₄⋊C₄	—	13	1	no	—
1358	C₂×C₄⋊C₄	—	13	1	no	—
1359	C₂×C₄⋊C₄	—	13	1	no	—
1360	C₂×C₄⋊C₄	—	13	1	no	—
1361	C₂×C₄⋊C₄	—	13	1	no	—
1362	C₂×C₄⋊C₄	—	13	1	no	—
1363	C₂×C₄⋊C₄	—	13	8	no	—
1364	C₂×C₄⋊C₄	—	13	8	no	—
1365	C₂×C₄⋊C₄	—	13	8	no	—
1366	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1367	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1368	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1369	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1370	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1371	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1372	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1373	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1374	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1375	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1376	C₂×C₄⋊C₄	C₂²×D₁₃	1	8	yes	—
1377	C₂×C₄⋊C₄	C₂²×D₁₃	1	8	yes	—
1378	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1379	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1380	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1381	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1382	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1383	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1384	C₂×C₂²⋊C₄	—	13	1	no	—
1385	C₂×C₂²⋊C₄	—	13	1	no	—
1386	C₂×C₂²⋊C₄	—	13	1	no	—
1387	C₂×C₂²⋊C₄	—	13	1	no	—
1388	C₂×C₂²⋊C₄	—	13	1	no	—
1389	C₂×C₂²⋊C₄	—	13	1	no	—
1390	C₂×C₂²⋊C₄	—	13	1	no	—
1391	C₂×C₂²⋊C₄	—	13	1	no	—
1392	C₂×C₂²⋊C₄	—	13	1	no	—
1393	C₂×C₂²⋊C₄	—	13	1	no	—
1394	C₂×C₂²⋊C₄	—	13	1	no	—
1395	C₂×C₂²⋊C₄	—	13	1	no	—
1396	C₂×C₂²⋊C₄	—	13	1	no	—
1397	C₂×C₂²⋊C₄	—	13	1	no	—
1398	C₂×C₂²⋊C₄	—	13	1	no	—
1399	C₂×C₂²⋊C₄	—	13	1	no	—
1400	C₂×C₂²⋊C₄	—	13	1	no	—
1401	C₂×C₂²⋊C₄	—	13	1	no	—
1402	C₂×C₂²⋊C₄	—	13	1	no	—
1403	C₂×C₂²⋊C₄	—	13	1	no	—
1404	C₂×C₂²⋊C₄	—	13	1	no	—
1405	C₂×C₂²⋊C₄	—	13	1	no	—
1406	C₂×C₂²⋊C₄	—	13	1	no	—
1407	C₂×C₂²⋊C₄	—	13	1	no	—
1408	C₂×C₂²⋊C₄	—	13	1	no	—
1409	C₂×C₂²⋊C₄	—	13	1	no	—
1410	C₂×C₂²⋊C₄	—	13	1	no	—
1411	C₂×C₂²⋊C₄	—	13	1	no	—
1412	C₂×C₂²⋊C₄	—	13	1	no	—
1413	C₂×C₂²⋊C₄	—	13	1	no	—
1414	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1415	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1416	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1417	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1418	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1419	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1420	C₂×C₄²	—	13	1	no	—
1421	C₂×C₄²	—	13	1	no	—
1422	C₂×C₄²	—	13	1	no	—
1423	C₂×C₄²	—	13	1	no	—
1424	C₂×C₄²	—	13	1	no	—
1425	C₂×C₄²	—	13	1	no	—
1426	C₂×C₄²	—	13	1	no	—
1427	C₂×C₄²	—	13	1	no	—
1428	C₂×C₄²	—	13	1	no	—
1429	C₂×C₄²	—	13	1	no	—
1430	C₂×C₄²	—	13	1	no	—
1431	C₂×C₄²	—	13	1	no	—
1432	C₂×C₄²	—	13	1	no	—
1433	C₂×C₄²	—	13	8	no	—
1434	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1435	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1436	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1437	C₂×C₁₃	—	2	4	no	—
1438	C₂×C₁₃	—	4	2	no	—
1439	C₂×C₁₃	#3553	1	4	yes	complemented
1440	C₂×C₁₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
1441	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1442	C₂×C₁₃	C₂×#585	1	1	yes	characteristic
1443	D₁₃	—	4	2	no	—
1444	D₁₃	—	4	2	no	—
1445	D₁₃	—	4	2	no	—
1446	C₂⁴	—	13	1	no	—
1447	C₂⁴	—	13	1	no	—
1448	C₂⁴	—	13	1	no	—
1449	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1450	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1451	C₂×Q₈	—	4	2	no	—
1452	C₂×Q₈	—	4	2	no	—
1453	C₂×Q₈	—	4	2	no	—
1454	C₂×Q₈	—	13	4	no	—
1455	C₂×Q₈	—	13	4	no	—
1456	C₂×Q₈	—	13	4	no	—
1457	C₂×Q₈	—	52	2	no	—
1458	C₂×Q₈	—	52	2	no	—
1459	C₂×Q₈	—	52	2	no	—
1460	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1461	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1462	C₂×Q₈	C₂³×D₁₃	1	4	yes	—
1463	C₂×D₄	—	2	4	no	—
1464	C₂×D₄	—	13	4	no	—
1465	C₂×D₄	—	13	4	no	—
1466	C₂×D₄	—	13	4	no	—
1467	C₂×D₄	—	13	4	no	—
1468	C₂×D₄	—	13	4	no	—
1469	C₂×D₄	—	13	4	no	—
1470	C₂×D₄	—	13	4	no	—
1471	C₂×D₄	—	13	4	no	—
1472	C₂×D₄	—	13	4	no	—
1473	C₂×D₄	—	26	4	no	—
1474	C₂×D₄	—	26	4	no	—
1475	C₂×D₄	—	26	4	no	—
1476	C₂×D₄	—	52	2	no	—
1477	C₂×D₄	—	52	2	no	—
1478	C₂×D₄	—	52	2	no	—
1479	C₂×D₄	—	52	2	no	—
1480	C₂×D₄	—	52	2	no	—
1481	C₂×D₄	—	52	2	no	—
1482	C₂×D₄	C₂³×D₁₃	1	4	yes	—
1483	C₂²×C₄	—	4	2	no	—
1484	C₂²×C₄	—	4	2	no	—
1485	C₂²×C₄	—	4	2	no	—
1486	C₂²×C₄	—	4	2	no	—
1487	C₂²×C₄	—	4	2	no	—
1488	C₂²×C₄	—	4	2	no	—
1489	C₂²×C₄	—	13	4	no	—
1490	C₂²×C₄	—	13	1	no	—
1491	C₂²×C₄	—	13	1	no	—
1492	C₂²×C₄	—	13	1	no	—
1493	C₂²×C₄	—	13	1	no	—
1494	C₂²×C₄	—	13	1	no	—
1495	C₂²×C₄	—	13	1	no	—
1496	C₂²×C₄	—	13	1	no	—
1497	C₂²×C₄	—	13	1	no	—
1498	C₂²×C₄	—	13	1	no	—
1499	C₂²×C₄	—	13	1	no	—
1500	C₂²×C₄	—	13	1	no	—
1501	C₂²×C₄	—	13	1	no	—
1502	C₂²×C₄	—	13	1	no	—
1503	C₂²×C₄	—	13	4	no	—
1504	C₂²×C₄	—	13	4	no	—
1505	C₂²×C₄	—	13	4	no	—
1506	C₂²×C₄	—	13	4	no	—
1507	C₂²×C₄	—	13	4	no	—
1508	C₂²×C₄	—	13	4	no	—
1509	C₂²×C₄	—	13	4	no	—
1510	C₂²×C₄	—	13	4	no	—
1511	C₂²×C₄	—	13	4	no	—
1512	C₂²×C₄	—	13	4	no	—
1513	C₂²×C₄	—	13	4	no	—
1514	C₂²×C₄	—	13	4	no	—
1515	C₂²×C₄	—	26	4	no	—
1516	C₂²×C₄	—	52	2	no	—
1517	C₂²×C₄	—	52	2	no	—
1518	C₂²×C₄	—	52	2	no	—
1519	C₂²×C₄	—	52	2	no	—
1520	C₂²×C₄	—	52	2	no	—
1521	C₂²×C₄	—	52	2	no	—
1522	C₂²×C₄	—	52	2	no	—
1523	C₂²×C₄	—	52	2	no	—
1524	C₂²×C₄	—	52	2	no	—
1525	C₂²×C₄	—	52	2	no	—
1526	C₂²×C₄	—	52	2	no	—
1527	C₂²×C₄	—	52	2	no	—
1528	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1529	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1530	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1531	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1532	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1533	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1534	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1535	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1536	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1537	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1538	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1539	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1540	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1541	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1542	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1543	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1544	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1545	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
1546	C₂²×C₄	C₂³×D₁₃	1	4	yes	—
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	—	13	4	no	—
1554	C₄⋊C₄	—	13	4	no	—
1555	C₄⋊C₄	—	13	4	no	—
1556	C₄⋊C₄	—	13	4	no	—
1557	C₄⋊C₄	—	13	4	no	—
1558	C₄⋊C₄	—	13	4	no	—
1559	C₄⋊C₄	—	13	4	no	—
1560	C₄⋊C₄	—	13	4	no	—
1561	C₄⋊C₄	—	13	4	no	—
1562	C₄⋊C₄	—	13	4	no	—
1563	C₄⋊C₄	—	13	4	no	—
1564	C₄⋊C₄	—	13	4	no	—
1565	C₄⋊C₄	—	13	4	no	—
1566	C₄⋊C₄	—	13	4	no	—
1567	C₄⋊C₄	—	13	4	no	—
1568	C₄⋊C₄	—	13	4	no	—
1569	C₄⋊C₄	—	13	4	no	—
1570	C₄⋊C₄	—	13	4	no	—
1571	C₄⋊C₄	—	13	4	no	—
1572	C₄⋊C₄	—	13	4	no	—
1573	C₄⋊C₄	—	13	4	no	—
1574	C₄⋊C₄	—	13	4	no	—
1575	C₄⋊C₄	—	13	4	no	—
1576	C₄⋊C₄	—	13	4	no	—
1577	C₄⋊C₄	—	13	4	no	—
1578	C₄⋊C₄	—	13	4	no	—
1579	C₄⋊C₄	—	13	4	no	—
1580	C₄⋊C₄	—	13	4	no	—
1581	C₄⋊C₄	—	13	4	no	—
1582	C₄⋊C₄	—	13	4	no	—
1583	C₄⋊C₄	—	13	4	no	—
1584	C₄⋊C₄	—	13	4	no	—
1585	C₄⋊C₄	—	13	4	no	—
1586	C₄⋊C₄	—	13	4	no	—
1587	C₄⋊C₄	—	13	4	no	—
1588	C₄⋊C₄	—	13	4	no	—
1589	C₄⋊C₄	—	13	4	no	—
1590	C₄⋊C₄	—	13	4	no	—
1591	C₄⋊C₄	—	13	4	no	—
1592	C₄⋊C₄	—	13	4	no	—
1593	C₄⋊C₄	—	13	4	no	—
1594	C₄⋊C₄	—	13	4	no	—
1595	C₄⋊C₄	—	13	4	no	—
1596	C₄⋊C₄	—	13	4	no	—
1597	C₄⋊C₄	—	13	4	no	—
1598	C₄⋊C₄	—	13	4	no	—
1599	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1600	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1601	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1602	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1603	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1604	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1605	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1606	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1607	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1608	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1609	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1610	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1611	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1612	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1613	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1614	C₄⋊C₄	C₂³×D₁₃	1	4	yes	—
1615	C₂²⋊C₄	—	13	4	no	—
1616	C₂²⋊C₄	—	13	4	no	—
1617	C₂²⋊C₄	—	13	4	no	—
1618	C₂²⋊C₄	—	13	4	no	—
1619	C₂²⋊C₄	—	13	4	no	—
1620	C₂²⋊C₄	—	13	4	no	—
1621	C₂²⋊C₄	—	13	4	no	—
1622	C₂²⋊C₄	—	13	4	no	—
1623	C₂²⋊C₄	—	13	4	no	—
1624	C₂²⋊C₄	—	13	4	no	—
1625	C₂²⋊C₄	—	13	4	no	—
1626	C₂²⋊C₄	—	13	4	no	—
1627	C₂²⋊C₄	—	13	4	no	—
1628	C₂²⋊C₄	—	13	4	no	—
1629	C₂²⋊C₄	—	13	4	no	—
1630	C₂²⋊C₄	—	13	4	no	—
1631	C₂²⋊C₄	—	13	4	no	—
1632	C₂²⋊C₄	—	13	4	no	—
1633	C₂²⋊C₄	—	13	4	no	—
1634	C₂²⋊C₄	—	13	4	no	—
1635	C₂²⋊C₄	—	13	4	no	—
1636	C₂²⋊C₄	—	13	4	no	—
1637	C₂²⋊C₄	—	13	4	no	—
1638	C₂²⋊C₄	—	13	4	no	—
1639	C₂²⋊C₄	—	13	4	no	—
1640	C₂²⋊C₄	—	13	4	no	—
1641	C₂²⋊C₄	—	13	4	no	—
1642	C₂²⋊C₄	—	13	4	no	—
1643	C₂²⋊C₄	—	13	4	no	—
1644	C₂²⋊C₄	—	13	4	no	—
1645	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1646	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1647	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1648	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1649	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1650	C₂²⋊C₄	C₂³×D₁₃	1	4	yes	—
1651	C₄²	—	13	4	no	—
1652	C₄²	—	13	4	no	—
1653	C₄²	—	13	4	no	—
1654	C₄²	—	13	4	no	—
1655	C₄²	—	13	4	no	—
1656	C₄²	—	13	4	no	—
1657	C₄²	—	13	4	no	—
1658	C₄²	—	13	4	no	—
1659	C₄²	—	13	4	no	—
1660	C₄²	—	13	4	no	—
1661	C₄²	—	13	4	no	—
1662	C₄²	—	13	4	no	—
1663	C₄²	—	13	4	no	—
1664	C₄²	C₂³×D₁₃	1	4	yes	—
1665	C₄²	C₂³×D₁₃	1	4	yes	—
1666	C₄²	C₂³×D₁₃	1	4	yes	—
1667	C₁₃	C₂×#3553	1	1	yes	characteristic, complemented, Sylow
1668	C₂³	—	2	2	no	—
1669	C₂³	—	2	2	no	—
1670	C₂³	—	2	2	no	—
1671	C₂³	—	2	2	no	—
1672	C₂³	—	2	2	no	—
1673	C₂³	—	13	2	no	—
1674	C₂³	—	13	2	no	—
1675	C₂³	—	13	2	no	—
1676	C₂³	—	26	2	no	—
1677	C₂³	—	26	2	no	—
1678	C₂³	—	26	2	no	—
1679	C₂³	—	26	2	no	—
1680	C₂³	—	26	2	no	—
1681	C₂³	—	26	2	no	—
1682	C₂³	—	26	2	no	—
1683	C₂³	—	26	2	no	—
1684	C₂³	—	26	2	no	—
1685	C₂³	#88254	1	4	yes	—
1686	C₂³	C₂⁴×D₁₃	1	2	yes	—
1687	C₂³	C₂⁴×D₁₃	1	2	yes	—
1688	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1689	Q₈	—	4	4	no	—
1690	Q₈	—	4	4	no	—
1691	Q₈	—	4	4	no	—
1692	Q₈	—	52	4	no	—
1693	Q₈	—	52	4	no	—
1694	Q₈	—	52	4	no	—
1695	D₄	—	2	8	no	—
1696	D₄	—	26	8	no	—
1697	D₄	—	26	8	no	—
1698	D₄	—	26	8	no	—
1699	D₄	—	52	4	no	—
1700	D₄	—	52	4	no	—
1701	D₄	—	52	4	no	—
1702	D₄	—	52	4	no	—
1703	D₄	—	52	4	no	—
1704	D₄	—	52	4	no	—
1705	C₂×C₄	—	2	2	no	—
1706	C₂×C₄	—	2	2	no	—
1707	C₂×C₄	—	2	2	no	—
1708	C₂×C₄	—	2	2	no	—
1709	C₂×C₄	—	2	2	no	—
1710	C₂×C₄	—	2	2	no	—
1711	C₂×C₄	—	2	2	no	—
1712	C₂×C₄	—	2	2	no	—
1713	C₂×C₄	—	2	2	no	—
1714	C₂×C₄	—	2	2	no	—
1715	C₂×C₄	—	2	2	no	—
1716	C₂×C₄	—	2	2	no	—
1717	C₂×C₄	—	2	2	no	—
1718	C₂×C₄	—	4	4	no	—
1719	C₂×C₄	—	4	4	no	—
1720	C₂×C₄	—	4	4	no	—
1721	C₂×C₄	—	4	4	no	—
1722	C₂×C₄	—	4	4	no	—
1723	C₂×C₄	—	4	4	no	—
1724	C₂×C₄	—	13	2	no	—
1725	C₂×C₄	—	13	2	no	—
1726	C₂×C₄	—	13	2	no	—
1727	C₂×C₄	—	13	2	no	—
1728	C₂×C₄	—	13	2	no	—
1729	C₂×C₄	—	13	2	no	—
1730	C₂×C₄	—	13	2	no	—
1731	C₂×C₄	—	13	2	no	—
1732	C₂×C₄	—	13	2	no	—
1733	C₂×C₄	—	13	2	no	—
1734	C₂×C₄	—	13	2	no	—
1735	C₂×C₄	—	13	2	no	—
1736	C₂×C₄	—	13	2	no	—
1737	C₂×C₄	—	26	8	no	—
1738	C₂×C₄	—	26	2	no	—
1739	C₂×C₄	—	26	2	no	—
1740	C₂×C₄	—	26	2	no	—
1741	C₂×C₄	—	26	2	no	—
1742	C₂×C₄	—	26	2	no	—
1743	C₂×C₄	—	26	2	no	—
1744	C₂×C₄	—	26	2	no	—
1745	C₂×C₄	—	26	2	no	—
1746	C₂×C₄	—	26	2	no	—
1747	C₂×C₄	—	26	2	no	—
1748	C₂×C₄	—	26	2	no	—
1749	C₂×C₄	—	26	2	no	—
1750	C₂×C₄	—	26	2	no	—
1751	C₂×C₄	—	52	4	no	—
1752	C₂×C₄	—	52	4	no	—
1753	C₂×C₄	—	52	4	no	—
1754	C₂×C₄	—	52	4	no	—
1755	C₂×C₄	—	52	4	no	—
1756	C₂×C₄	—	52	4	no	—
1757	C₂×C₄	—	52	4	no	—
1758	C₂×C₄	—	52	4	no	—
1759	C₂×C₄	—	52	4	no	—
1760	C₂×C₄	—	52	4	no	—
1761	C₂×C₄	—	52	4	no	—
1762	C₂×C₄	—	52	4	no	—
1763	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1764	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1765	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1766	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1767	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1768	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1769	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1770	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1771	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1772	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1773	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1774	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1775	C₂×C₄	C₂⁴×D₁₃	1	2	yes	—
1776	C₂²	—	2	8	no	—
1777	C₂²	—	2	2	no	—
1778	C₂²	—	2	2	no	—
1779	C₂²	—	2	2	no	—
1780	C₂²	—	2	2	no	—
1781	C₂²	—	2	2	no	—
1782	C₂²	—	4	4	no	—
1783	C₂²	—	26	2	no	—
1784	C₂²	—	26	2	no	—
1785	C₂²	—	26	2	no	—
1786	C₂²	—	26	2	no	—
1787	C₂²	—	26	2	no	—
1788	C₂²	—	26	2	no	—
1789	C₂²	—	26	2	no	—
1790	C₂²	—	26	2	no	—
1791	C₂²	—	26	2	no	—
1792	C₂²	—	52	4	no	—
1793	C₂²	—	52	4	no	—
1794	C₂²	—	52	4	no	—
1795	C₂²	C₂×#88254	1	4	yes	—
1796	C₂²	C₂×#88254	1	2	yes	—
1797	C₂²	#11719648	1	2	yes	—
1798	C₂²	#11719650	1	2	yes	—
1799	C₂²	C₂⁵×D₁₃	1	1	yes	characteristic
1800	C₄	—	2	2	no	—
1801	C₄	—	2	2	no	—
1802	C₄	—	2	2	no	—
1803	C₄	—	2	2	no	—
1804	C₄	—	2	2	no	—
1805	C₄	—	2	2	no	—
1806	C₄	—	2	2	no	—
1807	C₄	—	2	2	no	—
1808	C₄	—	2	2	no	—
1809	C₄	—	2	2	no	—
1810	C₄	—	2	2	no	—
1811	C₄	—	2	2	no	—
1812	C₄	—	2	2	no	—
1813	C₄	—	26	2	no	—
1814	C₄	—	26	2	no	—
1815	C₄	—	26	2	no	—
1816	C₄	—	26	2	no	—
1817	C₄	—	26	2	no	—
1818	C₄	—	26	2	no	—
1819	C₄	—	26	2	no	—
1820	C₄	—	26	2	no	—
1821	C₄	—	26	2	no	—
1822	C₄	—	26	2	no	—
1823	C₄	—	26	2	no	—
1824	C₄	—	26	2	no	—
1825	C₄	—	26	2	no	—
1826	C₂	—	2	4	no	—
1827	C₂	—	4	2	no	—
1828	C₂	—	52	2	no	—
1829	C₂	—	52	2	no	—
1830	C₂	—	52	2	no	—
1831	C₂	#13129288	1	4	yes	direct product factor
1832	C₂	C₂²×#88254	1	1	yes	characteristic
1833	C₂	C₂×#11719650	1	1	yes	characteristic
1834	C₂	C₂×#11719648	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₁₃
commutator, cosocle	C₂²×C₁₃	C₂⁶
Frattini	C₂²	C₂⁵×D₁₃
Fitting	C₂×C₁₃×#554	C₂
socle	C₂³×C₁₃	C₂⁵
hypercenter	C₂×#554	D₁₃
hypocenter	C₁₃	C₂×#3553
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ C₂×#554

Complements

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

N	H ≅ G/N	type
1. #13129288	C₂	direct (N × H)
2. C₂×C₁₃⋊#564	C₂	semidirect
3. C₂×#11719351	C₂	semidirect
4. C₂×#11719440	C₂	semidirect
5. C₂×#11719352	C₂	semidirect
6. C₂×#11719340	C₂	semidirect
7. C₂×#11719341	C₂	semidirect
8. C₂×#11719341	C₂	semidirect
9. C₂×#11719245	C₂	semidirect
10. C₂×#11719245	C₂	semidirect
11. C₂×#11719219	C₂	semidirect
12. C₂×#11719270	C₂	semidirect
13. C₂×#11719286	C₂	semidirect
14. C₂×#11719218	C₂	semidirect
15. C₂×#11719344	C₂	semidirect
16. C₂×#11719398	C₂	semidirect
17. C₂×#11719436	C₂	semidirect
18. C₂×#11719330	C₂	semidirect
19. C₂×#11719401	C₂	semidirect
20. C₂×#11719288	C₂	semidirect
21. C₂×#11719350	C₂	semidirect
22. C₂×#11719350	C₂	semidirect
23. C₂×#11719397	C₂	semidirect
24. C₂×#11719220	C₂	semidirect
25. C₂×#11719343	C₂	semidirect
26. C₂×#11719343	C₂	semidirect
27. C₂×#11719269	C₂	semidirect
28. C₂×#11719269	C₂	semidirect
29. C₂×#11719329	C₂	semidirect
30. C₂×#11719243	C₂	semidirect
31. C₂²×#88143	C₂	semidirect
32. C₂×C₁₃×#554	C₂	semidirect
33. C₁₃×#554	C₂²	semidirect
89. #11719440	C₂²	semidirect
90. #11719436	C₂²	semidirect
91. #11719401	C₂²	semidirect
92. #11719398	C₂²	semidirect
93. #11719397	C₂²	semidirect
94. C₁₃⋊#564	C₂²	semidirect
95. #11719352	C₂²	semidirect
96. #11719351	C₂²	semidirect
97. #11719350	C₂²	semidirect
98. #11719350	C₂²	semidirect
99. #11719344	C₂²	semidirect
100. #11719343	C₂²	semidirect
101. #11719343	C₂²	semidirect
102. #11719341	C₂²	semidirect
103. #11719341	C₂²	semidirect
104. #11719340	C₂²	semidirect
105. #11719330	C₂²	semidirect
106. #11719329	C₂²	semidirect
107. #11719288	C₂²	semidirect
108. #11719286	C₂²	semidirect
109. #11719270	C₂²	semidirect
110. #11719269	C₂²	semidirect
111. #11719269	C₂²	semidirect
112. #11719245	C₂²	semidirect
113. #11719245	C₂²	semidirect
114. #11719243	C₂²	semidirect
115. #11719220	C₂²	semidirect
116. #11719219	C₂²	semidirect
117. #11719218	C₂²	semidirect
179. C₂×#88143	C₂²	semidirect
759. C₂×#554	D₁₃	semidirect
898. #554	C₂×D₁₃	semidirect
1439. C₂×C₁₃	#3553	semidirect
1667. C₁₃	C₂×#3553	semidirect
1831. C₂	#13129288	direct (N × H)

Maximal subgroups

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

subgroup	index
#13129288	2
C₂×C₁₃⋊#564	2
C₂×#11719351	2
C₂×#11719440	2
C₂×#11719352	2
C₂×#11719340	2
C₂×#11719341	2
C₂×#11719245	2
C₂×#11719219	2
C₂×#11719270	2
C₂×#11719286	2
C₂×#11719218	2
C₂×#11719344	2
C₂×#11719398	2
C₂×#11719436	2
C₂×#11719330	2
C₂×#11719401	2
C₂×#11719288	2
C₂×#11719350	2
C₂×#11719397	2
C₂×#11719220	2
C₂×#11719343	2
C₂×#11719269	2
C₂×#11719329	2
C₂×#11719243	2
C₂²×#88143	2
C₂×C₁₃×#554	2
C₂×#3553	13

Subgroups — C2×#13129288 #16770688

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#13129288 #16770688