Subgroups — #16026550

Order 3328.

1974 conjugacy classes of subgroups.

The subgroup lattice has 1328 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719401	C₂	1	1	yes	maximal, characteristic
2	#13118029	C₂	1	1	yes	maximal, characteristic
3	#13118027	C₂	1	1	yes	maximal, characteristic
4	#13118027	C₂	1	1	yes	maximal, characteristic
5	#13118026	C₂	1	1	yes	maximal, characteristic
6	#13117962	C₂	1	1	yes	maximal, characteristic
7	#13117961	C₂	1	1	yes	maximal, characteristic
8	#13117959	C₂	1	1	yes	maximal, characteristic
9	#13117956	C₂	1	1	yes	maximal, characteristic
10	#13117935	C₂	1	1	yes	maximal, characteristic, complemented
11	#13117933	C₂	1	1	yes	maximal, characteristic, complemented
12	#13117891	C₂	1	1	yes	maximal, characteristic, complemented
13	#13117889	C₂	1	1	yes	maximal, characteristic, complemented
14	#13117802	C₂	1	1	yes	maximal, characteristic, complemented
15	#13117798	C₂	1	1	yes	maximal, characteristic, complemented
16	#13117750	C₂	1	1	yes	maximal, characteristic, complemented
17	#13117748	C₂	1	1	yes	maximal, characteristic, complemented
18	#13117642	C₂	1	1	yes	maximal, characteristic, complemented
19	#13117641	C₂	1	1	yes	maximal, characteristic, complemented
20	#13117639	C₂	1	1	yes	maximal, characteristic, complemented
21	#13117635	C₂	1	1	yes	maximal, characteristic, complemented
22	#13117576	C₂	1	1	yes	maximal, characteristic, complemented
23	#13117574	C₂	1	1	yes	maximal, characteristic, complemented
24	#13117574	C₂	1	1	yes	maximal, characteristic, complemented
25	#13117513	C₂	1	1	yes	maximal, characteristic
26	#13117513	C₂	1	1	yes	maximal, characteristic
27	#13117442	C₂	1	1	yes	maximal, characteristic
28	#13117370	C₂	1	1	yes	maximal, characteristic
29	C₄×#88150	C₂	1	1	yes	maximal, characteristic
30	#13117317	C₂	1	1	yes	maximal, characteristic
31	C₁₃×#2330	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×C₁₃×#125	C₂²	1	1	yes	characteristic
33	#11719401	C₄	1	16	yes	complemented
34	C₂×#88152	C₂²	1	1	yes	characteristic
35	C₂×#88152	C₂²	1	1	yes	characteristic
36	C₂×#88152	C₂²	1	1	yes	characteristic
37	C₂×#88150	C₂²	1	1	yes	characteristic
38	C₂×#88150	C₂²	1	1	yes	characteristic
39	C₂×#88146	C₂²	1	1	yes	characteristic
40	C₂×#88146	C₂²	1	1	yes	characteristic
41	C₂×#88144	C₂²	1	1	yes	characteristic
42	C₂×#88143	C₂²	1	1	yes	characteristic
43	C₂×#88143	C₂²	1	1	yes	characteristic
44	C₂×#88143	C₂²	1	1	yes	characteristic
45	C₂×#88142	C₂²	1	1	yes	characteristic
46	C₂×#88141	C₂²	1	1	yes	characteristic
47	C₂×#88141	C₂²	1	1	yes	characteristic
48	C₂×#88141	C₂²	1	1	yes	characteristic
49	C₂×#88141	C₂²	1	1	yes	characteristic
50	C₂×#88130	C₂²	1	1	yes	characteristic
51	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
52	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
53	C₂×C₄×Dic₂₆	C₂²	1	1	yes	characteristic
54	C₁₃×#389	C₂²	1	1	yes	characteristic
55	C₁₃×#389	C₂²	1	1	yes	characteristic
56	C₁₃×#389	C₂²	1	1	yes	characteristic
57	C₁₃×#389	C₂²	1	1	yes	characteristic
58	C₁₃×#389	C₂²	1	1	yes	characteristic
59	C₁₃×#389	C₂²	1	1	yes	characteristic
60	C₁₃×#387	C₂²	1	1	yes	characteristic
61	C₁₃×#387	C₂²	1	1	yes	characteristic
62	C₁₃×#387	C₂²	1	1	yes	characteristic
63	C₁₃×#387	C₂²	1	1	yes	characteristic
64	C₁₃×#384	C₂²	1	1	yes	characteristic
65	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
66	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
67	C₁₃×#376	C₂²	1	1	yes	characteristic
68	#11718651	C₂²	1	1	yes	characteristic
69	#11718651	C₂²	1	1	yes	characteristic
70	#11718651	C₂²	1	1	yes	characteristic
71	#11718651	C₂²	1	1	yes	characteristic
72	#11718651	C₂²	1	1	yes	characteristic
73	#11718650	C₂²	1	1	yes	characteristic
74	#11718650	C₂²	1	1	yes	characteristic
75	#11718650	C₂²	1	1	yes	characteristic
76	#11718650	C₂²	1	1	yes	characteristic
77	#11718646	C₂²	1	1	yes	characteristic
78	#11718646	C₂²	1	1	yes	characteristic
79	#11718642	C₂²	1	1	yes	characteristic
80	#11718642	C₂²	1	1	yes	characteristic
81	#11718642	C₂²	1	1	yes	characteristic
82	#11718642	C₂²	1	1	yes	characteristic
83	#11718642	C₂²	1	1	yes	characteristic
84	#11718642	C₂²	1	1	yes	characteristic
85	#11718642	C₂²	1	1	yes	characteristic
86	#11718642	C₂²	1	1	yes	characteristic
87	#11718639	C₂²	1	1	yes	characteristic
88	#11718639	C₂²	1	1	yes	characteristic
89	#11718639	C₂²	1	1	yes	characteristic
90	#11718639	C₂²	1	1	yes	characteristic
91	#11718637	C₂²	1	1	yes	characteristic
92	#11718637	C₂²	1	1	yes	characteristic
93	#11718637	C₂²	1	1	yes	characteristic
94	#11718637	C₂²	1	1	yes	characteristic
95	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
96	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
97	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
98	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
99	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
100	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
101	#11718634	C₂²	1	1	yes	characteristic
102	#11718634	C₂²	1	1	yes	characteristic
103	#11718634	C₂²	1	1	yes	characteristic
104	#11718634	C₂²	1	1	yes	characteristic
105	#11718633	C₂²	1	1	yes	characteristic
106	#11718633	C₂²	1	1	yes	characteristic
107	#11718633	C₂²	1	1	yes	characteristic
108	#11718633	C₂²	1	1	yes	characteristic
109	#11718633	C₂²	1	1	yes	characteristic
110	#11718633	C₂²	1	1	yes	characteristic
111	#11718633	C₂²	1	1	yes	characteristic
112	#11718633	C₂²	1	1	yes	characteristic
113	#11718633	C₂²	1	1	yes	characteristic
114	#11718633	C₂²	1	1	yes	characteristic
115	#11718633	C₂²	1	1	yes	characteristic
116	#11718601	C₂²	1	1	yes	characteristic
117	#11718601	C₂²	1	1	yes	characteristic
118	#11718601	C₂²	1	1	yes	characteristic
119	C₄×#6103	C₂²	1	1	yes	characteristic
120	C₄×#6103	C₂²	1	1	yes	characteristic
121	#11718598	C₂²	1	1	yes	characteristic
122	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
123	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic
124	#11718594	C₂²	1	1	yes	characteristic
125	#11718594	C₂²	1	1	yes	characteristic
126	#11718594	C₂²	1	1	yes	characteristic
127	#11718594	C₂²	1	1	yes	characteristic
128	#11718594	C₂²	1	1	yes	characteristic
129	#11718593	C₂²	1	1	yes	characteristic
130	C₄×#6101	C₂²	1	1	yes	characteristic
131	C₄×#6101	C₂²	1	1	yes	characteristic
132	C₄×#6101	C₂²	1	1	yes	characteristic
133	C₄×#6101	C₂²	1	1	yes	characteristic
134	C₄×#6101	C₂²	1	1	yes	characteristic
135	C₄×#6101	C₂²	1	1	yes	characteristic
136	C₄×#6101	C₂²	1	1	yes	characteristic
137	C₄×#6101	C₂²	1	1	yes	characteristic
138	#11718589	C₂²	1	1	yes	characteristic
139	#11718589	C₂²	1	1	yes	characteristic
140	#11718331	C₂²	1	1	yes	characteristic
141	#11718330	C₂²	1	1	yes	characteristic
142	#11718330	C₂²	1	1	yes	characteristic
143	#11718330	C₂²	1	1	yes	characteristic
144	#11718329	C₂²	1	1	yes	characteristic
145	#11718329	C₂²	1	1	yes	characteristic
146	#11718329	C₂²	1	1	yes	characteristic
147	#11718329	C₂²	1	1	yes	characteristic
148	#11718328	C₂²	1	1	yes	characteristic
149	#11718328	C₂²	1	1	yes	characteristic
150	#11718327	C₂²	1	1	yes	characteristic
151	#11718327	C₂²	1	1	yes	characteristic
152	#11718316	C₂²	1	1	yes	characteristic
153	#11718316	C₂²	1	1	yes	characteristic
154	#11718316	C₂²	1	1	yes	characteristic
155	#11718316	C₂²	1	1	yes	characteristic
156	#11718315	C₂²	1	1	yes	characteristic
157	#11718315	C₂²	1	1	yes	characteristic
158	#11718315	C₂²	1	1	yes	characteristic
159	#11718314	C₂²	1	1	yes	characteristic
160	#11718314	C₂²	1	1	yes	characteristic
161	#11718314	C₂²	1	1	yes	characteristic
162	#11718314	C₂²	1	1	yes	characteristic
163	#11718314	C₂²	1	1	yes	characteristic
164	#11718313	C₂²	1	1	yes	characteristic
165	#11718313	C₂²	1	1	yes	characteristic
166	#11718313	C₂²	1	1	yes	characteristic
167	#11718312	C₂²	1	1	yes	characteristic
168	#11718312	C₂²	1	1	yes	characteristic
169	#11718312	C₂²	1	1	yes	characteristic
170	#11718311	C₂²	1	1	yes	characteristic
171	#11718310	C₂²	1	1	yes	characteristic
172	#11718310	C₂²	1	1	yes	characteristic
173	#11718310	C₂²	1	1	yes	characteristic
174	#11718310	C₂²	1	1	yes	characteristic
175	#11718310	C₂²	1	1	yes	characteristic
176	#11718310	C₂²	1	1	yes	characteristic
177	#11718310	C₂²	1	1	yes	characteristic
178	#11718310	C₂²	1	1	yes	characteristic
179	#11718309	C₂²	1	1	yes	characteristic
180	#11718309	C₂²	1	1	yes	characteristic
181	#11718308	C₂²	1	1	yes	characteristic
182	#11718308	C₂²	1	1	yes	characteristic
183	#11718308	C₂²	1	1	yes	characteristic
184	#11718307	C₂²	1	1	yes	characteristic
185	#11718307	C₂²	1	1	yes	characteristic
186	#11718307	C₂²	1	1	yes	characteristic
187	#11718307	C₂²	1	1	yes	characteristic
188	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
191	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
192	C₂²×Dic₂₆	C₂³	1	1	yes	characteristic
193	C₁₃×#125	C₂×C₄	1	8	yes	complemented
194	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
195	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
196	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
197	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
198	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
199	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
200	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
201	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
202	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
203	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
204	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
205	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
206	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
207	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
208	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
209	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
210	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
211	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
212	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
213	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
214	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
215	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
216	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
217	C₂×#6103	C₂³	1	1	yes	characteristic
218	C₂×#6103	C₂³	1	1	yes	characteristic
219	C₂×#6103	C₂³	1	1	yes	characteristic
220	C₂×#6103	C₂³	1	1	yes	characteristic
221	C₂×#6103	C₂³	1	1	yes	characteristic
222	C₂×#6103	C₂³	1	1	yes	characteristic
223	C₂×#6103	C₂³	1	1	yes	characteristic
224	C₂×#6103	C₂³	1	1	yes	characteristic
225	C₂×#6103	C₂³	1	1	yes	characteristic
226	C₂×#6103	C₂³	1	1	yes	characteristic
227	C₂×#6103	C₂³	1	1	yes	characteristic
228	C₂×#6103	C₂³	1	1	yes	characteristic
229	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
236	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
237	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
238	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
239	C₂×#6101	C₂³	1	1	yes	characteristic
240	C₂×#6101	C₂³	1	1	yes	characteristic
241	C₂×#6101	C₂³	1	1	yes	characteristic
242	C₂×#6101	C₂³	1	1	yes	characteristic
243	C₂×#6101	C₂³	1	1	yes	characteristic
244	C₂×#6101	C₂³	1	1	yes	characteristic
245	C₂×#6101	C₂³	1	1	yes	characteristic
246	C₂×#6101	C₂³	1	1	yes	characteristic
247	C₂×#6101	C₂³	1	1	yes	characteristic
248	C₂×#6101	C₂³	1	1	yes	characteristic
249	C₂×#6101	C₂³	1	1	yes	characteristic
250	C₂×#6101	C₂³	1	1	yes	characteristic
251	C₂×#6101	C₂³	1	1	yes	characteristic
252	C₂×#6101	C₂³	1	1	yes	characteristic
253	C₂×#6101	C₂³	1	1	yes	characteristic
254	C₂×#6101	C₂³	1	1	yes	characteristic
255	C₂×#6101	C₂³	1	1	yes	characteristic
256	C₂×#6101	C₂³	1	1	yes	characteristic
257	C₂×#6101	C₂³	1	1	yes	characteristic
258	C₂×#6101	C₂³	1	1	yes	characteristic
259	C₂×#6101	C₂³	1	1	yes	characteristic
260	C₂×#6101	C₂³	1	1	yes	characteristic
261	C₂×#6101	C₂³	1	1	yes	characteristic
262	C₂×#6101	C₂³	1	1	yes	characteristic
263	C₂×#6101	C₂³	1	1	yes	characteristic
264	C₂×#6101	C₂³	1	1	yes	characteristic
265	C₂×#6101	C₂³	1	1	yes	characteristic
266	C₂×#6101	C₂³	1	1	yes	characteristic
267	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
268	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
276	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
292	#88152	C₂×C₄	1	8	yes	—
293	#88152	C₂×C₄	1	8	yes	—
294	#88152	C₂×C₄	1	8	yes	—
295	#88150	C₂×C₄	1	8	yes	—
296	#88150	C₂×C₄	1	8	yes	—
297	#88146	—	4	2	no	—
298	#88146	C₂×C₄	1	8	yes	—
299	#88144	C₂×C₄	1	8	yes	complemented
300	#88143	C₂×C₄	1	8	yes	complemented
301	#88143	C₂×C₄	1	8	yes	complemented
302	#88143	C₂×C₄	1	8	yes	complemented
303	#88142	C₂×C₄	1	8	yes	complemented
304	#88141	—	4	2	no	—
305	#88141	—	4	2	no	—
306	#88141	—	4	2	no	—
307	#88141	C₂×C₄	1	8	yes	complemented
308	#88130	C₂×C₄	1	8	yes	—
309	C₄²×D₁₃	—	4	2	no	—
310	C₄×Dic₂₆	—	4	2	no	—
311	C₄×Dic₂₆	C₂×C₄	1	8	yes	complemented
312	C₁₃×#95	C₂³	1	1	yes	characteristic
313	C₁₃×#95	C₂³	1	1	yes	characteristic
314	C₁₃×#95	C₂³	1	1	yes	characteristic
315	C₁₃×#95	C₂³	1	1	yes	characteristic
316	C₁₃×#95	C₂³	1	1	yes	characteristic
317	C₁₃×#95	C₂³	1	1	yes	characteristic
318	C₁₃×#95	C₂³	1	1	yes	characteristic
319	C₁₃×#95	C₂³	1	1	yes	characteristic
320	C₁₃×#95	C₂³	1	1	yes	characteristic
321	C₁₃×#95	C₂³	1	1	yes	characteristic
322	C₁₃×#95	C₂³	1	1	yes	characteristic
323	C₁₃×#95	C₂³	1	1	yes	characteristic
324	#88071	C₂³	1	1	yes	characteristic
325	#88071	C₂³	1	1	yes	characteristic
326	#88071	C₂³	1	1	yes	characteristic
327	#88071	C₂³	1	1	yes	characteristic
328	#88071	C₂³	1	1	yes	characteristic
329	#88071	C₂³	1	1	yes	characteristic
330	#88071	C₂³	1	1	yes	characteristic
331	#88071	C₂³	1	1	yes	characteristic
332	#88071	C₂³	1	1	yes	characteristic
333	#88071	C₂³	1	1	yes	characteristic
334	#88071	C₂³	1	1	yes	characteristic
335	#88071	C₂³	1	1	yes	characteristic
336	#88071	C₂³	1	1	yes	characteristic
337	#88071	C₂³	1	1	yes	characteristic
338	#88071	C₂³	1	1	yes	characteristic
339	#88071	C₂³	1	1	yes	characteristic
340	#88071	C₂³	1	1	yes	characteristic
341	#88071	C₂³	1	1	yes	characteristic
342	#88071	C₂³	1	1	yes	characteristic
343	#88071	C₂³	1	1	yes	characteristic
344	#88071	C₂³	1	1	yes	characteristic
345	#88071	C₂³	1	1	yes	characteristic
346	#88071	C₂³	1	1	yes	characteristic
347	#88071	C₂³	1	1	yes	characteristic
348	#88071	C₂³	1	1	yes	characteristic
349	#88071	C₂³	1	1	yes	characteristic
350	#88071	C₂³	1	1	yes	characteristic
351	#88071	C₂³	1	1	yes	characteristic
352	#88071	C₂³	1	1	yes	characteristic
353	#88071	C₂³	1	1	yes	characteristic
354	#88071	C₂³	1	1	yes	characteristic
355	#88071	C₂³	1	1	yes	characteristic
356	#88071	C₂³	1	1	yes	characteristic
357	#88071	C₂³	1	1	yes	characteristic
358	#88071	C₂³	1	1	yes	characteristic
359	#88071	C₂³	1	1	yes	characteristic
360	#88071	C₂³	1	1	yes	characteristic
361	#88071	C₂³	1	1	yes	characteristic
362	#88071	C₂³	1	1	yes	characteristic
363	#88071	C₂³	1	1	yes	characteristic
364	#34420	—	13	1	no	maximal, Sylow
365	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
366	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
367	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
368	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
369	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
370	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
371	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
372	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
373	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
374	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
375	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
376	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
377	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
379	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
380	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
381	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
382	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
383	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
384	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
385	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
386	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
387	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
388	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
389	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
390	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
391	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
392	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
393	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
394	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
395	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
396	C₂×C₄×D₁₃	—	2	2	no	—
397	C₂×C₄×D₁₃	—	2	2	no	—
398	C₂×C₄×D₁₃	—	2	2	no	—
399	C₂×C₄×D₁₃	—	2	2	no	—
400	C₂×C₄×D₁₃	—	4	1	no	—
401	C₂×C₄×D₁₃	—	4	1	no	—
402	C₂×C₄×D₁₃	—	4	1	no	—
403	C₂×C₄×D₁₃	—	4	1	no	—
404	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
405	C₂×Dic₂₆	—	2	2	no	—
406	C₂×Dic₂₆	—	2	2	no	—
407	C₂×Dic₂₆	—	2	2	no	—
408	C₂×Dic₂₆	—	2	2	no	—
409	C₂×Dic₂₆	C₂²×C₄	1	4	yes	—
410	C₂×Dic₂₆	C₂²×C₄	1	4	yes	—
411	C₁₃×C₄⋊C₄	—	4	1	no	—
412	C₁₃×C₄⋊C₄	—	4	1	no	—
413	C₁₃×C₄⋊C₄	—	4	1	no	—
414	C₁₃×C₄⋊C₄	—	4	1	no	—
415	C₁₃×C₄⋊C₄	—	4	1	no	—
416	C₁₃×C₄⋊C₄	—	4	1	no	—
417	C₁₃×C₄⋊C₄	—	4	1	no	—
418	C₁₃×C₄⋊C₄	—	4	1	no	—
419	C₁₃×C₄⋊C₄	—	4	1	no	—
420	C₁₃×C₄⋊C₄	—	4	1	no	—
421	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
422	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
423	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
424	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
425	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
426	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
427	C₄²×C₁₃	—	2	2	no	—
428	C₄²×C₁₃	—	4	1	no	—
429	C₄²×C₁₃	—	4	1	no	—
430	C₄²×C₁₃	—	4	1	no	—
431	C₄²×C₁₃	—	4	1	no	—
432	C₄²×C₁₃	—	4	1	no	—
433	C₄²×C₁₃	C₂²×C₄	1	4	yes	—
434	#6103	—	4	1	no	—
435	#6103	—	4	1	no	—
436	#6103	—	4	1	no	—
437	#6103	—	4	1	no	—
438	#6103	—	4	1	no	—
439	#6103	—	4	1	no	—
440	#6103	C₂²×C₄	1	4	yes	—
441	#6103	C₂²×C₄	1	4	yes	—
442	#6103	C₂²×C₄	1	4	yes	—
443	#6103	C₂²×C₄	1	4	yes	—
444	#6103	C₂²×C₄	1	4	yes	—
445	#6103	C₂²×C₄	1	4	yes	—
446	C₄⋊Dic₁₃	—	2	2	no	—
447	C₄⋊Dic₁₃	—	2	2	no	—
448	C₄⋊Dic₁₃	—	4	1	no	—
449	C₄⋊Dic₁₃	—	4	1	no	—
450	C₄⋊Dic₁₃	—	4	1	no	—
451	C₄⋊Dic₁₃	—	4	1	no	—
452	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
453	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
454	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
455	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	—
456	#6101	—	2	2	no	—
457	#6101	—	2	2	no	—
458	#6101	—	2	2	no	—
459	#6101	—	2	2	no	—
460	#6101	—	2	2	no	—
461	#6101	—	2	2	no	—
462	#6101	—	4	1	no	—
463	#6101	—	4	1	no	—
464	#6101	—	4	1	no	—
465	#6101	—	4	1	no	—
466	#6101	—	4	1	no	—
467	#6101	—	4	1	no	—
468	#6101	—	4	1	no	—
469	#6101	—	4	1	no	—
470	#6101	—	4	1	no	—
471	#6101	—	4	1	no	—
472	#6101	—	4	1	no	—
473	#6101	—	4	1	no	—
474	#6101	C₂²×C₄	1	4	yes	—
475	#6101	C₂²×C₄	1	4	yes	—
476	#6101	C₂²×C₄	1	4	yes	—
477	#6101	C₂²×C₄	1	4	yes	—
478	#6101	C₂²×C₄	1	4	yes	—
479	#6101	C₂²×C₄	1	4	yes	—
480	#6101	C₂²×C₄	1	4	yes	—
481	#6101	C₂²×C₄	1	4	yes	—
482	#6101	C₂²×C₄	1	4	yes	—
483	#6101	C₂²×C₄	1	4	yes	—
484	C₄×Dic₁₃	—	2	2	no	—
485	C₄×Dic₁₃	—	2	2	no	—
486	C₄×Dic₁₃	—	2	2	no	—
487	C₄×Dic₁₃	—	2	2	no	—
488	C₄×Dic₁₃	—	2	2	no	—
489	C₄×Dic₁₃	—	2	2	no	—
490	C₄×Dic₁₃	—	2	2	no	—
491	C₄×Dic₁₃	—	4	1	no	—
492	C₄×Dic₁₃	—	4	1	no	—
493	C₄×Dic₁₃	—	4	1	no	—
494	C₄×Dic₁₃	—	4	1	no	—
495	C₄×Dic₁₃	—	4	1	no	—
496	C₄×Dic₁₃	—	4	1	no	—
497	C₄×Dic₁₃	—	4	1	no	—
498	C₄×Dic₁₃	—	4	1	no	—
499	C₄×Dic₁₃	—	4	1	no	—
500	C₄×Dic₁₃	—	4	1	no	—
501	C₄×Dic₁₃	—	4	1	no	—
502	C₄×Dic₁₃	—	4	1	no	—
503	C₄×Dic₁₃	—	4	1	no	—
504	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
505	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
506	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
507	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
508	C₄×Dic₁₃	C₂²×C₄	1	4	yes	—
509	C₂×#541	—	13	1	no	—
510	#2383	—	13	1	no	—
511	#2383	—	13	1	no	—
512	#2383	—	13	1	no	—
513	#2383	—	13	1	no	—
514	#2373	—	13	1	no	—
515	#2373	—	13	1	no	—
516	#2373	—	13	1	no	—
517	#2373	—	13	1	no	—
518	#2370	—	13	1	no	—
519	#2370	—	13	1	no	—
520	#2365	—	13	1	no	—
521	#2365	—	13	1	no	—
522	#2356	—	13	1	no	—
523	#2356	—	13	1	no	—
524	Q₈×C₄⋊C₄	—	13	1	no	—
525	Q₈×C₄⋊C₄	—	13	1	no	—
526	#2336	—	13	1	no	—
527	#2336	—	13	1	no	—
528	#2336	—	13	1	no	—
529	#2336	—	13	1	no	—
530	#2330	—	13	1	no	—
531	#2330	—	13	1	no	—
532	#2330	—	13	1	no	—
533	#2330	D₁₃	1	1	yes	characteristic, complemented
534	#2323	—	13	1	no	—
535	#2323	—	13	1	no	—
536	#2314	—	13	1	no	—
537	C₄×C₂²⋊Q₈	—	13	1	no	—
538	C₄×C₂²⋊Q₈	—	13	1	no	—
539	#2296	—	13	1	no	—
540	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
541	C₂²×D₁₃	—	2	1	no	—
542	C₂²×D₁₃	—	2	1	no	—
543	C₂²×D₁₃	—	2	1	no	—
544	C₂²×D₁₃	—	2	1	no	—
545	C₂²×D₁₃	—	2	1	no	—
546	C₂²×D₁₃	—	2	1	no	—
547	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
548	C₂×C₄×C₁₃	—	2	1	no	—
549	C₂×C₄×C₁₃	—	2	1	no	—
550	C₂×C₄×C₁₃	—	2	1	no	—
551	C₂×C₄×C₁₃	—	2	1	no	—
552	C₂×C₄×C₁₃	—	2	1	no	—
553	C₂×C₄×C₁₃	—	2	1	no	—
554	C₂×C₄×C₁₃	—	2	1	no	—
555	C₂×C₄×C₁₃	—	2	1	no	—
556	C₂×C₄×C₁₃	—	2	1	no	—
557	C₂×C₄×C₁₃	—	2	1	no	—
558	C₂×C₄×C₁₃	—	2	1	no	—
559	C₂×C₄×C₁₃	—	2	1	no	—
560	C₂×C₄×C₁₃	—	2	1	no	—
561	C₂×C₄×C₁₃	—	2	1	no	—
562	C₂×C₄×C₁₃	—	2	1	no	—
563	C₂×C₄×C₁₃	—	2	1	no	—
564	C₂×C₄×C₁₃	—	2	1	no	—
565	C₂×C₄×C₁₃	—	2	1	no	—
566	C₂×C₄×C₁₃	—	2	1	no	—
567	C₂×C₄×C₁₃	—	2	1	no	—
568	C₂×C₄×C₁₃	—	2	1	no	—
569	C₂×C₄×C₁₃	—	2	1	no	—
570	C₂×C₄×C₁₃	—	2	1	no	—
571	C₂×C₄×C₁₃	—	2	1	no	—
572	C₂×C₄×C₁₃	—	2	1	no	—
573	C₂×C₄×C₁₃	—	2	1	no	—
574	C₂×C₄×C₁₃	—	2	1	no	—
575	C₂×C₄×C₁₃	—	2	1	no	—
576	C₂×C₄×C₁₃	—	2	1	no	—
577	C₂×C₄×C₁₃	—	2	1	no	—
578	C₂×C₄×C₁₃	—	2	1	no	—
579	C₂×C₄×C₁₃	—	2	1	no	—
580	C₂×C₄×C₁₃	—	2	1	no	—
581	C₂×C₄×C₁₃	—	2	1	no	—
582	C₂×C₄×C₁₃	—	2	1	no	—
583	C₂×C₄×C₁₃	—	2	1	no	—
584	C₂×C₄×C₁₃	—	2	1	no	—
585	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
586	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
587	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
588	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
589	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
590	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
591	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
592	C₂×C₄×C₁₃	2₋¹⁺⁴	1	2	yes	—
593	C₂×Dic₁₃	—	2	1	no	—
594	C₂×Dic₁₃	—	2	1	no	—
595	C₂×Dic₁₃	—	2	1	no	—
596	C₂×Dic₁₃	—	2	1	no	—
597	C₂×Dic₁₃	—	2	1	no	—
598	C₂×Dic₁₃	—	2	1	no	—
599	C₂×Dic₁₃	—	2	1	no	—
600	C₂×Dic₁₃	—	2	1	no	—
601	C₂×Dic₁₃	—	2	1	no	—
602	C₂×Dic₁₃	—	2	1	no	—
603	C₂×Dic₁₃	—	2	1	no	—
604	C₂×Dic₁₃	—	2	1	no	—
605	C₂×Dic₁₃	—	2	1	no	—
606	C₂×Dic₁₃	—	2	1	no	—
607	C₂×Dic₁₃	—	2	1	no	—
608	C₂×Dic₁₃	—	2	1	no	—
609	C₂×Dic₁₃	—	2	1	no	—
610	C₂×Dic₁₃	—	2	1	no	—
611	C₂×Dic₁₃	—	2	1	no	—
612	C₂×Dic₁₃	—	2	1	no	—
613	C₂×Dic₁₃	—	2	1	no	—
614	C₂×Dic₁₃	—	2	1	no	—
615	C₂×Dic₁₃	—	2	1	no	—
616	C₂×Dic₁₃	—	2	1	no	—
617	C₂×Dic₁₃	—	2	1	no	—
618	C₂×Dic₁₃	—	2	1	no	—
619	C₂×Dic₁₃	—	2	1	no	—
620	C₂×Dic₁₃	—	2	1	no	—
621	C₂×Dic₁₃	—	2	1	no	—
622	C₂×Dic₁₃	—	2	1	no	—
623	C₂×Dic₁₃	—	2	1	no	—
624	C₂×Dic₁₃	—	2	1	no	—
625	C₂×Dic₁₃	—	2	1	no	—
626	C₂×Dic₁₃	—	2	1	no	—
627	C₂×Dic₁₃	—	2	1	no	—
628	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
629	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
630	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
631	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
632	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
633	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
634	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
635	C₂×Dic₁₃	H(5,𝔽₂)	1	2	yes	—
636	C₂×Dic₁₃	2₋¹⁺⁴	1	2	yes	—
637	C₂×Dic₁₃	2₋¹⁺⁴	1	2	yes	—
638	C₄×D₁₃	—	2	8	no	—
639	C₄×D₁₃	—	4	4	no	—
640	C₄×D₁₃	—	4	4	no	—
641	Dic₂₆	—	2	8	no	—
642	Dic₂₆	—	2	8	no	—
643	#541	—	13	16	no	—
644	C₂×C₄⋊Q₈	—	13	1	no	—
645	C₂×#126	—	13	1	no	—
646	C₂×#126	—	13	1	no	—
647	C₂×#126	—	13	1	no	—
648	C₂×#126	—	13	1	no	—
649	C₂×#125	—	13	1	no	—
650	C₂×#125	—	13	1	no	—
651	C₂×#125	—	13	1	no	—
652	C₂×#125	—	13	1	no	—
653	C₂×#125	C₂×D₁₃	1	1	yes	characteristic
654	C₂×C₂²⋊Q₈	—	13	1	no	—
655	C₂×C₂²⋊Q₈	—	13	1	no	—
656	C₂×C₄×Q₈	—	13	1	no	—
657	C₂×C₄×Q₈	—	13	1	no	—
658	C₂×C₄×Q₈	—	13	1	no	—
659	C₂×C₄×Q₈	—	13	1	no	—
660	C₂×C₄×Q₈	—	13	1	no	—
661	C₂×C₄×Q₈	—	13	1	no	—
662	C₂×#117	—	13	1	no	—
663	C₂×#117	—	13	1	no	—
664	C₂²×C₄²	—	13	1	no	—
665	#391	—	13	1	no	—
666	#391	—	13	1	no	—
667	#391	—	13	1	no	—
668	#391	—	13	1	no	—
669	#389	—	13	1	no	—
670	#389	—	13	1	no	—
671	#389	—	13	1	no	—
672	#389	—	13	1	no	—
673	#389	—	13	1	no	—
674	#389	—	13	1	no	—
675	#389	—	13	1	no	—
676	#389	—	13	1	no	—
677	#389	—	13	1	no	—
678	#389	—	13	1	no	—
679	#389	—	13	1	no	—
680	#389	—	13	1	no	—
681	#389	—	13	1	no	—
682	#389	—	13	1	no	—
683	#389	—	13	1	no	—
684	#389	—	13	1	no	—
685	#389	—	13	1	no	—
686	#389	—	13	1	no	—
687	#389	—	13	1	no	—
688	#389	—	13	1	no	—
689	#389	—	13	1	no	—
690	#389	—	13	1	no	—
691	#389	C₂×D₁₃	1	1	yes	characteristic
692	#389	C₂×D₁₃	1	1	yes	characteristic
693	#389	C₂×D₁₃	1	1	yes	characteristic
694	#389	C₂×D₁₃	1	1	yes	characteristic
695	#389	C₂×D₁₃	1	1	yes	characteristic
696	#389	C₂×D₁₃	1	1	yes	characteristic
697	#388	—	13	1	no	—
698	#388	—	13	1	no	—
699	#388	—	13	1	no	—
700	#388	—	13	1	no	—
701	#388	—	13	1	no	—
702	#388	—	13	1	no	—
703	#388	—	13	1	no	—
704	#388	—	13	1	no	—
705	#388	—	13	1	no	—
706	#388	—	13	1	no	—
707	#388	—	13	1	no	—
708	#388	—	13	1	no	—
709	#387	—	13	1	no	—
710	#387	—	13	1	no	—
711	#387	—	13	1	no	—
712	#387	—	13	1	no	—
713	#387	—	13	1	no	—
714	#387	—	13	1	no	—
715	#387	—	13	1	no	—
716	#387	—	13	1	no	—
717	#387	—	13	1	no	—
718	#387	—	13	1	no	—
719	#387	—	13	1	no	—
720	#387	—	13	1	no	—
721	#387	—	13	1	no	—
722	#387	—	13	1	no	—
723	#387	—	13	1	no	—
724	#387	—	13	1	no	—
725	#387	—	13	1	no	—
726	#387	—	13	1	no	—
727	#387	—	13	1	no	—
728	#387	—	13	1	no	—
729	#387	—	13	1	no	—
730	#387	—	13	1	no	—
731	#387	—	13	1	no	—
732	#387	—	13	1	no	—
733	#387	—	13	1	no	—
734	#387	—	13	1	no	—
735	#387	—	13	1	no	—
736	#387	—	13	1	no	—
737	#387	—	13	1	no	—
738	#387	—	13	1	no	—
739	#387	—	13	1	no	—
740	#387	—	13	1	no	—
741	#387	C₂×D₁₃	1	1	yes	characteristic
742	#387	C₂×D₁₃	1	1	yes	characteristic
743	#387	C₂×D₁₃	1	1	yes	characteristic
744	#387	C₂×D₁₃	1	1	yes	characteristic
745	#385	—	13	1	no	—
746	#385	—	13	1	no	—
747	#385	—	13	1	no	—
748	#385	—	13	1	no	—
749	#385	—	13	1	no	—
750	#385	—	13	1	no	—
751	#385	—	13	1	no	—
752	#385	—	13	1	no	—
753	#384	—	13	1	no	—
754	#384	—	13	1	no	—
755	#384	—	13	1	no	—
756	#384	—	13	1	no	—
757	#384	C₂×D₁₃	1	1	yes	characteristic
758	#383	—	13	1	no	—
759	#383	—	13	1	no	—
760	#383	—	13	1	no	—
761	#383	—	13	1	no	—
762	#382	—	13	1	no	—
763	#380	—	13	1	no	—
764	#380	—	13	1	no	—
765	C₄×C₄⋊C₄	—	13	1	no	—
766	C₄×C₄⋊C₄	—	13	1	no	—
767	C₄×C₄⋊C₄	—	13	1	no	—
768	C₄×C₄⋊C₄	—	13	1	no	—
769	C₄×C₄⋊C₄	—	13	1	no	—
770	C₄×C₄⋊C₄	—	13	1	no	—
771	C₄×C₄⋊C₄	—	13	1	no	—
772	C₄×C₄⋊C₄	—	13	1	no	—
773	C₄×C₄⋊C₄	—	13	1	no	—
774	C₄×C₄⋊C₄	—	13	1	no	—
775	C₄×C₄⋊C₄	—	13	1	no	—
776	C₄×C₄⋊C₄	—	13	1	no	—
777	C₄×C₄⋊C₄	—	13	1	no	—
778	C₄×C₄⋊C₄	—	13	1	no	—
779	C₄×C₄⋊C₄	—	13	1	no	—
780	C₄×C₄⋊C₄	—	13	1	no	—
781	C₄×C₄⋊C₄	—	13	1	no	—
782	C₄×C₄⋊C₄	—	13	1	no	—
783	C₄×C₄⋊C₄	—	13	1	no	—
784	C₄×C₄⋊C₄	—	13	1	no	—
785	C₄×C₄⋊C₄	—	13	1	no	—
786	C₄×C₄⋊C₄	—	13	1	no	—
787	C₄×C₄⋊C₄	—	13	1	no	—
788	C₄×C₄⋊C₄	—	13	1	no	—
789	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
790	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic
791	C₄×C₂²⋊C₄	—	13	1	no	—
792	C₄×C₂²⋊C₄	—	13	1	no	—
793	C₄×C₂²⋊C₄	—	13	1	no	—
794	C₄×C₂²⋊C₄	—	13	1	no	—
795	#376	—	13	1	no	—
796	#376	—	13	1	no	—
797	#376	—	13	1	no	—
798	#376	C₂×D₁₃	1	1	yes	characteristic
799	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
800	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
801	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
802	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
803	C₂²×C₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
804	C₂²×C₁₃	#585	1	1	yes	characteristic
805	C₂²×C₁₃	#585	1	1	yes	characteristic
806	C₂×D₁₃	—	2	2	no	—
807	C₂×D₁₃	—	2	2	no	—
808	C₂×D₁₃	—	2	2	no	—
809	C₂×D₁₃	—	4	1	no	—
810	C₂×D₁₃	—	4	1	no	—
811	C₂×D₁₃	—	4	1	no	—
812	C₂×D₁₃	—	4	1	no	—
813	C₄×C₁₃	—	2	2	no	—
814	C₄×C₁₃	—	2	2	no	—
815	C₄×C₁₃	—	2	2	no	—
816	C₄×C₁₃	—	2	2	no	—
817	C₄×C₁₃	—	2	2	no	—
818	C₄×C₁₃	—	2	2	no	—
819	C₄×C₁₃	—	2	2	no	—
820	C₄×C₁₃	—	2	2	no	—
821	C₄×C₁₃	—	4	1	no	—
822	C₄×C₁₃	—	4	1	no	—
823	C₄×C₁₃	—	4	1	no	—
824	C₄×C₁₃	—	4	1	no	—
825	C₄×C₁₃	—	4	1	no	—
826	C₄×C₁₃	—	4	1	no	—
827	C₄×C₁₃	—	4	1	no	—
828	Dic₁₃	—	2	2	no	—
829	Dic₁₃	—	2	2	no	—
830	Dic₁₃	—	2	2	no	—
831	Dic₁₃	—	2	2	no	—
832	Dic₁₃	—	2	2	no	—
833	Dic₁₃	—	2	2	no	—
834	Dic₁₃	—	2	2	no	—
835	Dic₁₃	—	4	1	no	—
836	Dic₁₃	—	4	1	no	—
837	Dic₁₃	—	4	1	no	—
838	Dic₁₃	—	4	1	no	—
839	Dic₁₃	—	4	1	no	—
840	Dic₁₃	—	4	1	no	—
841	Dic₁₃	—	4	1	no	—
842	Dic₁₃	#520	1	4	yes	—
843	C₂²×Q₈	—	13	1	no	—
844	C₂²×Q₈	—	13	1	no	—
845	C₂³×C₄	—	13	1	no	—
846	C₂³×C₄	—	13	1	no	—
847	C₂³×C₄	—	13	1	no	—
848	C₄⋊Q₈	—	13	8	no	—
849	#126	—	13	8	no	—
850	#126	—	13	8	no	—
851	#126	—	13	8	no	—
852	#126	—	13	8	no	—
853	#125	—	13	8	no	—
854	#125	—	13	8	no	—
855	#125	—	13	8	no	—
856	#125	—	13	8	no	—
857	#125	C₄×D₁₃	1	8	yes	complemented
858	C₂²⋊Q₈	—	13	8	no	—
859	C₂²⋊Q₈	—	13	8	no	—
860	C₄×Q₈	—	13	8	no	—
861	C₄×Q₈	—	13	8	no	—
862	C₄×Q₈	—	52	2	no	—
863	C₄×Q₈	—	52	2	no	—
864	C₄×Q₈	—	52	2	no	—
865	C₄×Q₈	—	52	2	no	—
866	#117	—	13	8	no	—
867	#117	—	52	2	no	—
868	C₂×C₄⋊C₄	—	13	1	no	—
869	C₂×C₄⋊C₄	—	13	1	no	—
870	C₂×C₄⋊C₄	—	13	1	no	—
871	C₂×C₄⋊C₄	—	13	1	no	—
872	C₂×C₄⋊C₄	—	13	1	no	—
873	C₂×C₄⋊C₄	—	13	1	no	—
874	C₂×C₄⋊C₄	—	13	1	no	—
875	C₂×C₄⋊C₄	—	13	1	no	—
876	C₂×C₄⋊C₄	—	13	1	no	—
877	C₂×C₄⋊C₄	—	13	1	no	—
878	C₂×C₄⋊C₄	—	13	1	no	—
879	C₂×C₄⋊C₄	—	13	1	no	—
880	C₂×C₄⋊C₄	—	13	1	no	—
881	C₂×C₄⋊C₄	—	13	1	no	—
882	C₂×C₄⋊C₄	—	13	1	no	—
883	C₂×C₄⋊C₄	—	13	1	no	—
884	C₂×C₄⋊C₄	—	13	1	no	—
885	C₂×C₄⋊C₄	—	13	1	no	—
886	C₂×C₄⋊C₄	—	13	1	no	—
887	C₂×C₄⋊C₄	—	13	1	no	—
888	C₂×C₄⋊C₄	—	13	1	no	—
889	C₂×C₄⋊C₄	—	13	1	no	—
890	C₂×C₄⋊C₄	—	13	1	no	—
891	C₂×C₄⋊C₄	—	13	1	no	—
892	C₂×C₄⋊C₄	—	13	1	no	—
893	C₂×C₄⋊C₄	—	13	1	no	—
894	C₂×C₄⋊C₄	—	13	1	no	—
895	C₂×C₄⋊C₄	—	13	1	no	—
896	C₂×C₄⋊C₄	—	13	1	no	—
897	C₂×C₄⋊C₄	—	13	1	no	—
898	C₂×C₄⋊C₄	—	13	1	no	—
899	C₂×C₄⋊C₄	—	13	1	no	—
900	C₂×C₄⋊C₄	—	13	1	no	—
901	C₂×C₄⋊C₄	—	13	1	no	—
902	C₂×C₄⋊C₄	—	13	1	no	—
903	C₂×C₄⋊C₄	—	13	1	no	—
904	C₂×C₄⋊C₄	—	13	1	no	—
905	C₂×C₄⋊C₄	—	13	1	no	—
906	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
907	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
908	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
909	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
910	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
911	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
912	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
913	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
914	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
915	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
916	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
917	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
918	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
919	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
920	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
922	C₂×C₂²⋊C₄	—	13	1	no	—
923	C₂×C₂²⋊C₄	—	13	1	no	—
924	C₂×C₂²⋊C₄	—	13	1	no	—
925	C₂×C₂²⋊C₄	—	13	1	no	—
926	C₂×C₂²⋊C₄	—	13	1	no	—
927	C₂×C₂²⋊C₄	—	13	1	no	—
928	C₂×C₂²⋊C₄	—	13	1	no	—
929	C₂×C₂²⋊C₄	—	13	1	no	—
930	C₂×C₂²⋊C₄	—	13	1	no	—
931	C₂×C₂²⋊C₄	—	13	1	no	—
932	C₂×C₂²⋊C₄	—	13	1	no	—
933	C₂×C₂²⋊C₄	—	13	1	no	—
934	C₂×C₄²	—	13	1	no	—
935	C₂×C₄²	—	13	1	no	—
936	C₂×C₄²	—	13	1	no	—
937	C₂×C₄²	—	13	1	no	—
938	C₂×C₄²	—	13	1	no	—
939	C₂×C₄²	—	13	1	no	—
940	C₂×C₄²	—	13	1	no	—
941	C₂×C₄²	—	13	1	no	—
942	C₂×C₄²	—	13	1	no	—
943	C₂×C₄²	—	13	1	no	—
944	C₂×C₄²	—	13	1	no	—
945	C₂×C₄²	—	13	1	no	—
946	C₂×C₄²	—	13	1	no	—
947	C₂×C₄²	—	13	1	no	—
948	C₂×C₄²	—	13	1	no	—
949	C₂×C₄²	—	13	1	no	—
950	C₂×C₄²	—	13	1	no	—
951	C₂×C₄²	—	13	1	no	—
952	C₂×C₄²	—	13	1	no	—
953	C₂×C₄²	—	13	1	no	—
954	C₂×C₄²	—	13	1	no	—
955	C₂×C₄²	—	13	1	no	—
956	C₂×C₄²	—	13	1	no	—
957	C₂×C₄²	—	13	1	no	—
958	C₂×C₄²	—	13	1	no	—
959	C₂×C₄²	—	52	2	no	—
960	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
961	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
962	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
963	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
964	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
965	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
966	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
967	#95	—	13	1	no	—
968	#95	—	13	1	no	—
969	#95	—	13	1	no	—
970	#95	—	13	1	no	—
971	#95	—	13	1	no	—
972	#95	—	13	1	no	—
973	#95	—	13	1	no	—
974	#95	—	13	1	no	—
975	#95	—	13	1	no	—
976	#95	—	13	1	no	—
977	#95	—	13	1	no	—
978	#95	—	13	1	no	—
979	#95	—	13	1	no	—
980	#95	—	13	1	no	—
981	#95	—	13	1	no	—
982	#95	—	13	1	no	—
983	#95	—	13	1	no	—
984	#95	—	13	1	no	—
985	#95	—	13	1	no	—
986	#95	—	13	1	no	—
987	#95	—	13	1	no	—
988	#95	—	13	1	no	—
989	#95	—	13	1	no	—
990	#95	—	13	1	no	—
991	#95	—	13	1	no	—
992	#95	—	13	1	no	—
993	#95	—	13	1	no	—
994	#95	—	13	1	no	—
995	#95	—	13	1	no	—
996	#95	—	13	1	no	—
997	#95	—	13	1	no	—
998	#95	—	13	1	no	—
999	#95	—	13	1	no	—
1000	#95	—	13	1	no	—
1001	#95	—	13	1	no	—
1002	#95	—	13	1	no	—
1003	#95	—	13	1	no	—
1004	#95	—	13	1	no	—
1005	#95	—	13	1	no	—
1006	#95	—	13	1	no	—
1007	#95	C₂²×D₁₃	1	1	yes	characteristic
1008	#95	C₂²×D₁₃	1	1	yes	characteristic
1009	#95	C₂²×D₁₃	1	1	yes	characteristic
1010	#95	C₂²×D₁₃	1	1	yes	characteristic
1011	#95	C₂²×D₁₃	1	1	yes	characteristic
1012	#95	C₂²×D₁₃	1	1	yes	characteristic
1013	#95	C₂²×D₁₃	1	1	yes	characteristic
1014	#95	C₂²×D₁₃	1	1	yes	characteristic
1015	#95	C₂²×D₁₃	1	1	yes	characteristic
1016	#95	C₂²×D₁₃	1	1	yes	characteristic
1017	#95	C₂²×D₁₃	1	1	yes	characteristic
1018	#95	C₂²×D₁₃	1	1	yes	characteristic
1019	C₂×C₁₃	C₂×#520	1	1	yes	characteristic
1020	C₂×C₁₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1021	C₂×C₁₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1022	C₂×C₁₃	#3538	1	1	yes	characteristic
1023	C₂×C₁₃	#3539	1	1	yes	characteristic
1024	C₂×C₁₃	#3555	1	1	yes	characteristic
1025	C₂×C₁₃	#3555	1	1	yes	characteristic
1026	D₁₃	—	4	2	no	—
1027	C₂⁴	—	13	1	no	—
1028	C₂×Q₈	—	13	4	no	—
1029	C₂×Q₈	—	13	4	no	—
1030	C₂×Q₈	—	26	2	no	—
1031	C₂×Q₈	—	26	2	no	—
1032	C₂×Q₈	—	26	2	no	—
1033	C₂×Q₈	—	26	2	no	—
1034	C₂²×C₄	—	13	1	no	—
1035	C₂²×C₄	—	13	1	no	—
1036	C₂²×C₄	—	13	1	no	—
1037	C₂²×C₄	—	13	1	no	—
1038	C₂²×C₄	—	13	1	no	—
1039	C₂²×C₄	—	13	1	no	—
1040	C₂²×C₄	—	13	1	no	—
1041	C₂²×C₄	—	13	1	no	—
1042	C₂²×C₄	—	13	4	no	—
1043	C₂²×C₄	—	13	1	no	—
1044	C₂²×C₄	—	13	1	no	—
1045	C₂²×C₄	—	13	1	no	—
1046	C₂²×C₄	—	13	1	no	—
1047	C₂²×C₄	—	13	1	no	—
1048	C₂²×C₄	—	13	1	no	—
1049	C₂²×C₄	—	13	1	no	—
1050	C₂²×C₄	—	26	2	no	—
1051	C₂²×C₄	—	26	2	no	—
1052	C₂²×C₄	—	26	2	no	—
1053	C₂²×C₄	—	26	2	no	—
1054	C₂²×C₄	—	52	1	no	—
1055	C₂²×C₄	—	52	1	no	—
1056	C₂²×C₄	—	52	1	no	—
1057	C₂²×C₄	—	52	1	no	—
1058	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1059	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1060	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1061	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1062	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1063	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1064	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1065	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1066	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1067	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1068	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1069	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1070	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1071	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1072	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1073	C₄⋊C₄	—	4	1	no	—
1074	C₄⋊C₄	—	4	1	no	—
1075	C₄⋊C₄	—	4	1	no	—
1076	C₄⋊C₄	—	4	1	no	—
1077	C₄⋊C₄	—	4	1	no	—
1078	C₄⋊C₄	—	4	1	no	—
1079	C₄⋊C₄	—	4	1	no	—
1080	C₄⋊C₄	—	4	1	no	—
1081	C₄⋊C₄	—	4	1	no	—
1082	C₄⋊C₄	—	4	1	no	—
1083	C₄⋊C₄	—	13	4	no	—
1084	C₄⋊C₄	—	13	4	no	—
1085	C₄⋊C₄	—	13	4	no	—
1086	C₄⋊C₄	—	13	4	no	—
1087	C₄⋊C₄	—	13	4	no	—
1088	C₄⋊C₄	—	13	4	no	—
1089	C₄⋊C₄	—	13	4	no	—
1090	C₄⋊C₄	—	13	4	no	—
1091	C₄⋊C₄	—	13	4	no	—
1092	C₄⋊C₄	—	13	4	no	—
1093	C₄⋊C₄	—	13	4	no	—
1094	C₄⋊C₄	—	13	4	no	—
1095	C₄⋊C₄	—	13	4	no	—
1096	C₄⋊C₄	—	13	4	no	—
1097	C₄⋊C₄	—	26	2	no	—
1098	C₄⋊C₄	—	26	2	no	—
1099	C₄⋊C₄	—	26	2	no	—
1100	C₄⋊C₄	—	26	2	no	—
1101	C₄⋊C₄	—	26	2	no	—
1102	C₄⋊C₄	—	26	2	no	—
1103	C₄⋊C₄	—	26	2	no	—
1104	C₄⋊C₄	—	26	2	no	—
1105	C₄⋊C₄	—	52	1	no	—
1106	C₄⋊C₄	—	52	1	no	—
1107	C₄⋊C₄	—	52	1	no	—
1108	C₄⋊C₄	—	52	1	no	—
1109	C₄⋊C₄	—	52	1	no	—
1110	C₄⋊C₄	—	52	1	no	—
1111	C₄⋊C₄	—	52	1	no	—
1112	C₄⋊C₄	—	52	1	no	—
1113	C₄⋊C₄	—	52	1	no	—
1114	C₄⋊C₄	—	52	1	no	—
1115	C₄⋊C₄	—	52	1	no	—
1116	C₄⋊C₄	—	52	1	no	—
1117	C₄⋊C₄	—	52	1	no	—
1118	C₄⋊C₄	—	52	1	no	—
1119	C₄⋊C₄	—	52	1	no	—
1120	C₄⋊C₄	—	52	1	no	—
1121	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1122	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1123	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1124	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1125	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1126	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1127	C₂²⋊C₄	—	13	4	no	—
1128	C₂²⋊C₄	—	13	4	no	—
1129	C₂²⋊C₄	—	13	4	no	—
1130	C₂²⋊C₄	—	13	4	no	—
1131	C₂²⋊C₄	—	13	4	no	—
1132	C₂²⋊C₄	—	13	4	no	—
1133	C₂²⋊C₄	—	52	1	no	—
1134	C₂²⋊C₄	—	52	1	no	—
1135	C₂²⋊C₄	—	52	1	no	—
1136	C₂²⋊C₄	—	52	1	no	—
1137	C₂²⋊C₄	—	52	1	no	—
1138	C₂²⋊C₄	—	52	1	no	—
1139	C₄²	—	2	2	no	—
1140	C₄²	—	4	1	no	—
1141	C₄²	—	4	1	no	—
1142	C₄²	—	4	1	no	—
1143	C₄²	—	4	1	no	—
1144	C₄²	—	4	1	no	—
1145	C₄²	—	13	4	no	—
1146	C₄²	—	13	4	no	—
1147	C₄²	—	13	4	no	—
1148	C₄²	—	13	4	no	—
1149	C₄²	—	13	4	no	—
1150	C₄²	—	26	2	no	—
1151	C₄²	—	26	2	no	—
1152	C₄²	—	26	2	no	—
1153	C₄²	—	26	2	no	—
1154	C₄²	—	26	2	no	—
1155	C₄²	—	26	2	no	—
1156	C₄²	—	26	2	no	—
1157	C₄²	—	52	1	no	—
1158	C₄²	—	52	1	no	—
1159	C₄²	—	52	1	no	—
1160	C₄²	—	52	1	no	—
1161	C₄²	—	52	1	no	—
1162	C₄²	—	52	1	no	—
1163	C₄²	—	52	1	no	—
1164	C₄²	—	52	1	no	—
1165	C₄²	—	52	1	no	—
1166	C₄²	—	52	1	no	—
1167	C₄²	—	52	1	no	—
1168	C₄²	—	52	1	no	—
1169	C₄²	—	52	1	no	—
1170	C₄²	C₂×C₄×D₁₃	1	4	yes	—
1171	C₁₃	#34420	1	1	yes	characteristic, complemented, Sylow
1172	C₂³	—	13	2	no	—
1173	C₂³	—	26	1	no	—
1174	C₂³	—	26	1	no	—
1175	C₂³	—	26	1	no	—
1176	C₂³	—	26	1	no	—
1177	C₂³	—	26	1	no	—
1178	C₂³	—	26	1	no	—
1179	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1180	Q₈	—	26	8	no	—
1181	Q₈	—	26	8	no	—
1182	C₂×C₄	—	2	1	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	13	2	no	—
1220	C₂×C₄	—	13	2	no	—
1221	C₂×C₄	—	13	2	no	—
1222	C₂×C₄	—	13	2	no	—
1223	C₂×C₄	—	13	2	no	—
1224	C₂×C₄	—	13	2	no	—
1225	C₂×C₄	—	13	2	no	—
1226	C₂×C₄	—	13	2	no	—
1227	C₂×C₄	—	13	2	no	—
1228	C₂×C₄	—	13	2	no	—
1229	C₂×C₄	—	26	8	no	—
1230	C₂×C₄	—	26	1	no	—
1231	C₂×C₄	—	26	1	no	—
1232	C₂×C₄	—	26	1	no	—
1233	C₂×C₄	—	26	1	no	—
1234	C₂×C₄	—	26	1	no	—
1235	C₂×C₄	—	26	1	no	—
1236	C₂×C₄	—	26	1	no	—
1237	C₂×C₄	—	26	1	no	—
1238	C₂×C₄	—	26	1	no	—
1239	C₂×C₄	—	26	1	no	—
1240	C₂×C₄	—	26	1	no	—
1241	C₂×C₄	—	26	1	no	—
1242	C₂×C₄	—	26	1	no	—
1243	C₂×C₄	—	26	1	no	—
1244	C₂×C₄	—	26	1	no	—
1245	C₂×C₄	—	26	1	no	—
1246	C₂×C₄	—	26	1	no	—
1247	C₂×C₄	—	26	1	no	—
1248	C₂×C₄	—	26	1	no	—
1249	C₂×C₄	—	26	1	no	—
1250	C₂×C₄	—	26	1	no	—
1251	C₂×C₄	—	26	1	no	—
1252	C₂×C₄	—	26	1	no	—
1253	C₂×C₄	—	26	1	no	—
1254	C₂×C₄	—	26	1	no	—
1255	C₂×C₄	—	26	1	no	—
1256	C₂×C₄	—	26	1	no	—
1257	C₂×C₄	—	26	1	no	—
1258	C₂×C₄	—	26	1	no	—
1259	C₂×C₄	—	26	1	no	—
1260	C₂×C₄	—	26	1	no	—
1261	C₂×C₄	—	26	1	no	—
1262	C₂×C₄	—	26	1	no	—
1263	C₂×C₄	—	26	1	no	—
1264	C₂×C₄	—	26	1	no	—
1265	C₂×C₄	—	52	4	no	—
1266	C₂×C₄	—	52	4	no	—
1267	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1268	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1269	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1270	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1271	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1272	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1273	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1274	C₂×C₄	#88254	1	2	yes	—
1275	C₂²	—	26	2	no	—
1276	C₂²	—	26	2	no	—
1277	C₂²	—	26	2	no	—
1278	C₂²	—	52	1	no	—
1279	C₂²	—	52	1	no	—
1280	C₂²	—	52	1	no	—
1281	C₂²	—	52	1	no	—
1282	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
1283	C₂²	C₂×#88254	1	1	yes	characteristic
1284	C₂²	#11719648	1	1	yes	characteristic
1285	C₂²	D₁₃×H(5,𝔽₂)	1	1	yes	characteristic
1286	C₂²	#11719650	1	1	yes	characteristic
1287	C₂²	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1288	C₂²	D₁₃×2₋¹⁺⁴	1	1	yes	characteristic
1289	C₄	—	2	2	no	—
1290	C₄	—	2	2	no	—
1291	C₄	—	2	2	no	—
1292	C₄	—	2	2	no	—
1293	C₄	—	2	2	no	—
1294	C₄	—	2	2	no	—
1295	C₄	—	2	2	no	—
1296	C₄	—	2	2	no	—
1297	C₄	—	4	1	no	—
1298	C₄	—	4	1	no	—
1299	C₄	—	4	1	no	—
1300	C₄	—	4	1	no	—
1301	C₄	—	4	1	no	—
1302	C₄	—	4	1	no	—
1303	C₄	—	4	1	no	—
1304	C₄	—	13	4	no	—
1305	C₄	—	26	2	no	—
1306	C₄	—	26	2	no	—
1307	C₄	—	26	2	no	—
1308	C₄	—	26	2	no	—
1309	C₄	—	26	2	no	—
1310	C₄	—	26	2	no	—
1311	C₄	—	26	2	no	—
1312	C₄	—	52	1	no	—
1313	C₄	—	52	1	no	—
1314	C₄	—	52	1	no	—
1315	C₄	—	52	1	no	—
1316	C₄	—	52	1	no	—
1317	C₄	—	52	1	no	—
1318	C₄	—	52	1	no	—
1319	C₂	—	52	2	no	—
1320	C₂	D₁₃×#520	1	1	yes	characteristic
1321	C₂	#13128047	1	1	yes	characteristic
1322	C₂	C₄×#88254	1	1	yes	characteristic
1323	C₂	#13129078	1	1	yes	characteristic
1324	C₂	#13129088	1	1	yes	characteristic
1325	C₂	#13129317	1	1	yes	characteristic
1326	C₂	#13129321	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₁₃
commutator	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₁₃×#2330	C₂
socle, cosocle	C₂³×C₁₃	C₂⁵
prime radical	C₂³×D₁₃	C₂⁴
hypercenter	#2330	D₁₃
hypocenter	C₁₃	#34420
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂³ ◁ #2330

Complements

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

N	H ≅ G/N	type
10. #13117935	C₂	semidirect
11. #13117933	C₂	semidirect
12. #13117891	C₂	semidirect
13. #13117889	C₂	semidirect
14. #13117802	C₂	semidirect
15. #13117798	C₂	semidirect
16. #13117750	C₂	semidirect
17. #13117748	C₂	semidirect
18. #13117642	C₂	semidirect
19. #13117641	C₂	semidirect
20. #13117639	C₂	semidirect
21. #13117635	C₂	semidirect
22. #13117576	C₂	semidirect
23. #13117574	C₂	semidirect
24. #13117574	C₂	semidirect
31. C₁₃×#2330	C₂	semidirect
33. #11719401	C₄	semidirect
193. C₁₃×#125	C₂×C₄	semidirect
299. #88144	C₂×C₄	semidirect
300. #88143	C₂×C₄	semidirect
301. #88143	C₂×C₄	semidirect
302. #88143	C₂×C₄	semidirect
303. #88142	C₂×C₄	semidirect
307. #88141	C₂×C₄	semidirect
311. C₄×Dic₂₆	C₂×C₄	semidirect
533. #2330	D₁₃	semidirect
857. #125	C₄×D₁₃	semidirect
1171. C₁₃	#34420	semidirect

Maximal subgroups

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

subgroup	index
C₂×#11719401	2
#13118029	2
#13118027	2
#13118026	2
#13117962	2
#13117961	2
#13117959	2
#13117956	2
#13117935	2
#13117933	2
#13117891	2
#13117889	2
#13117802	2
#13117798	2
#13117750	2
#13117748	2
#13117642	2
#13117641	2
#13117639	2
#13117635	2
#13117576	2
#13117574	2
#13117513	2
#13117442	2
#13117370	2
C₄×#88150	2
#13117317	2
C₁₃×#2330	2
#34420	13