Subgroups — #16807981

Order 3328.

2224 conjugacy classes of subgroups.

The subgroup lattice has 2118 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13131378	C₂	1	1	yes	maximal, characteristic, complemented
2	#13131377	C₂	1	1	yes	maximal, characteristic, complemented
3	#13131376	C₂	1	1	yes	maximal, characteristic, complemented
4	#13131374	C₂	1	1	yes	maximal, characteristic, complemented
5	#13131372	C₂	1	1	yes	maximal, characteristic, complemented
6	#13131372	C₂	1	1	yes	maximal, characteristic, complemented
7	#13131371	C₂	1	1	yes	maximal, characteristic, complemented
8	#13131368	C₂	1	1	yes	maximal, characteristic, complemented
9	#13131364	C₂	1	1	yes	maximal, characteristic, complemented
10	#13131363	C₂	1	1	yes	maximal, characteristic, complemented
11	#13131362	C₂	1	1	yes	maximal, characteristic, complemented
12	#13131361	C₂	1	1	yes	maximal, characteristic, complemented
13	#13131360	C₂	1	1	yes	maximal, characteristic, complemented
14	#13131359	C₂	1	1	yes	maximal, characteristic, complemented
15	#13131359	C₂	1	1	yes	maximal, characteristic, complemented
16	#13131335	C₂	1	1	yes	maximal, characteristic, complemented
17	#13131335	C₂	1	1	yes	maximal, characteristic, complemented
18	#13131333	C₂	1	1	yes	maximal, characteristic, complemented
19	#13131332	C₂	1	1	yes	maximal, characteristic, complemented
20	#13131330	C₂	1	1	yes	maximal, characteristic, complemented
21	#13131329	C₂	1	1	yes	maximal, characteristic, complemented
22	#13131326	C₂	1	1	yes	maximal, characteristic, complemented
23	#13131326	C₂	1	1	yes	maximal, characteristic, complemented
24	#13131325	C₂	1	1	yes	maximal, characteristic, complemented
25	#13131324	C₂	1	1	yes	maximal, characteristic, complemented
26	#13131323	C₂	1	1	yes	maximal, characteristic, complemented
27	#13131322	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂²⋊Q₈×#261	C₂	1	1	yes	maximal, characteristic, complemented
29	#123×#261	C₂	1	1	yes	maximal, characteristic, complemented
30	#121×#261	C₂	1	1	yes	maximal, characteristic, complemented
31	D₁₃×#562	C₂	1	1	yes	maximal, characteristic
32	C₂×Q₈×#261	C₂²	1	1	yes	characteristic
33	C₂×Q₈×#261	C₂²	1	1	yes	characteristic
34	C₂×D₄×#261	C₂²	1	1	yes	characteristic
35	C₂×D₄×#261	C₂²	1	1	yes	characteristic
36	C₂×D₄×#261	C₂²	1	1	yes	characteristic
37	C₂×D₄×#261	C₂²	1	1	yes	characteristic
38	C₂×D₄×#261	C₂²	1	1	yes	characteristic
39	C₂×D₄×#261	C₂²	1	1	yes	characteristic
40	C₂×#88237	C₂²	1	1	yes	characteristic
41	C₂×#88237	C₂²	1	1	yes	characteristic
42	C₂²×C₄⋊#261	C₂²	1	1	yes	characteristic
43	C₂²×C₄×#261	C₂²	1	1	yes	characteristic
44	C₁₃×#562	C₄	1	1	yes	characteristic, complemented
45	#11719405	C₄	1	1	yes	characteristic, complemented
46	D₁₃×#125	C₂²	1	1	yes	characteristic
47	#11719389	C₄	1	1	yes	characteristic, complemented
48	#11719389	C₄	1	1	yes	characteristic, complemented
49	D₁₃×#124	C₂²	1	1	yes	characteristic
50	D₁₃×#124	C₂²	1	1	yes	characteristic
51	#11719372	C₄	1	1	yes	characteristic, complemented
52	#11719372	C₄	1	1	yes	characteristic, complemented
53	#11719372	C₄	1	1	yes	characteristic, complemented
54	#11719372	C₄	1	1	yes	characteristic, complemented
55	D₁₃×#123	C₂²	1	1	yes	characteristic
56	D₁₃×#123	C₂²	1	1	yes	characteristic
57	D₁₃×#123	C₂²	1	1	yes	characteristic
58	D₁₃×#123	C₂²	1	1	yes	characteristic
59	#11719352	C₄	1	1	yes	characteristic, complemented
60	#11719352	C₄	1	1	yes	characteristic, complemented
61	#11719352	C₄	1	1	yes	characteristic, complemented
62	#11719352	C₄	1	1	yes	characteristic, complemented
63	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
64	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
65	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
66	D₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
67	#11719326	C₄	1	1	yes	characteristic, complemented
68	#11719326	C₄	1	1	yes	characteristic, complemented
69	#11719326	C₄	1	1	yes	characteristic, complemented
70	#11719326	C₄	1	1	yes	characteristic, complemented
71	D₁₃×#121	C₂²	1	1	yes	characteristic
72	D₁₃×#121	C₂²	1	1	yes	characteristic
73	D₁₃×#121	C₂²	1	1	yes	characteristic
74	D₁₃×#121	C₂²	1	1	yes	characteristic
75	(C₂×#261)⋊Q₈	C₂²	1	1	yes	characteristic
76	(C₂×#261)⋊Q₈	C₂²	1	1	yes	characteristic
77	(C₂×#261)⋊Q₈	C₂²	1	1	yes	characteristic
78	(C₂×#261)⋊Q₈	C₂²	1	1	yes	characteristic
79	(C₂×#261)⋊Q₈	C₂²	1	1	yes	characteristic
80	(C₂×#261)⋊Q₈	C₂²	1	1	yes	characteristic
81	#11719151	C₂²	1	1	yes	characteristic
82	#11719151	C₂²	1	1	yes	characteristic
83	#11719151	C₂²	1	1	yes	characteristic
84	#11719151	C₂²	1	1	yes	characteristic
85	#11719151	C₂²	1	1	yes	characteristic
86	#11719151	C₂²	1	1	yes	characteristic
87	#11719150	C₂²	1	1	yes	characteristic
88	#11719150	C₂²	1	1	yes	characteristic
89	#11719150	C₂²	1	1	yes	characteristic
90	#11719150	C₂²	1	1	yes	characteristic
91	#11719150	C₂²	1	1	yes	characteristic
92	#11719150	C₂²	1	1	yes	characteristic
93	#11719150	C₂²	1	1	yes	characteristic
94	#11719150	C₂²	1	1	yes	characteristic
95	#11719150	C₂²	1	1	yes	characteristic
96	#11719150	C₂²	1	1	yes	characteristic
97	#11719150	C₂²	1	1	yes	characteristic
98	#11719150	C₂²	1	1	yes	characteristic
99	#11719136	C₂²	1	1	yes	characteristic
100	#11719136	C₂²	1	1	yes	characteristic
101	#11719136	C₂²	1	1	yes	characteristic
102	#11719136	C₂²	1	1	yes	characteristic
103	#11719135	C₂²	1	1	yes	characteristic
104	#11719135	C₂²	1	1	yes	characteristic
105	C₄×C₂²⋊#261	C₂²	1	1	yes	characteristic
106	C₄×C₂²⋊#261	C₂²	1	1	yes	characteristic
107	C₄×C₂²⋊#261	C₂²	1	1	yes	characteristic
108	C₄×C₂²⋊#261	C₂²	1	1	yes	characteristic
109	C₂×(C₂×#261)⋊C₄	C₂²	1	1	yes	characteristic
110	C₂×(C₂×#261)⋊C₄	C₂²	1	1	yes	characteristic
111	#11719083	C₂²	1	1	yes	characteristic
112	#11719083	C₂²	1	1	yes	characteristic
113	#11719083	C₂²	1	1	yes	characteristic
114	#11719083	C₂²	1	1	yes	characteristic
115	#11719083	C₂²	1	1	yes	characteristic
116	#11719083	C₂²	1	1	yes	characteristic
117	#11719083	C₂²	1	1	yes	characteristic
118	#11719083	C₂²	1	1	yes	characteristic
119	#11719083	C₂²	1	1	yes	characteristic
120	#11719083	C₂²	1	1	yes	characteristic
121	#11719082	C₂²	1	1	yes	characteristic
122	#11719082	C₂²	1	1	yes	characteristic
123	#11719082	C₂²	1	1	yes	characteristic
124	#11719082	C₂²	1	1	yes	characteristic
125	#11719082	C₂²	1	1	yes	characteristic
126	#11719082	C₂²	1	1	yes	characteristic
127	#11719082	C₂²	1	1	yes	characteristic
128	#11719082	C₂²	1	1	yes	characteristic
129	#11719082	C₂²	1	1	yes	characteristic
130	#11719082	C₂²	1	1	yes	characteristic
131	#11719082	C₂²	1	1	yes	characteristic
132	#11719082	C₂²	1	1	yes	characteristic
133	#11719082	C₂²	1	1	yes	characteristic
134	#11719082	C₂²	1	1	yes	characteristic
135	#11719082	C₂²	1	1	yes	characteristic
136	#11719082	C₂²	1	1	yes	characteristic
137	#11719082	C₂²	1	1	yes	characteristic
138	#11719082	C₂²	1	1	yes	characteristic
139	#11719082	C₂²	1	1	yes	characteristic
140	#11719082	C₂²	1	1	yes	characteristic
141	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
142	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
143	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
144	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
145	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
146	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
147	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
148	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
149	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
150	C₄⋊C₄×#261	C₂²	1	1	yes	characteristic
151	#11719071	C₂²	1	1	yes	characteristic
152	#11719071	C₂²	1	1	yes	characteristic
153	#11719071	C₂²	1	1	yes	characteristic
154	#11719071	C₂²	1	1	yes	characteristic
155	#11719071	C₂²	1	1	yes	characteristic
156	#11719071	C₂²	1	1	yes	characteristic
157	#11719071	C₂²	1	1	yes	characteristic
158	#11719071	C₂²	1	1	yes	characteristic
159	#11719071	C₂²	1	1	yes	characteristic
160	#11719071	C₂²	1	1	yes	characteristic
161	#11719071	C₂²	1	1	yes	characteristic
162	#11719071	C₂²	1	1	yes	characteristic
163	#11719071	C₂²	1	1	yes	characteristic
164	#11719071	C₂²	1	1	yes	characteristic
165	#11719071	C₂²	1	1	yes	characteristic
166	#11719071	C₂²	1	1	yes	characteristic
167	#11719071	C₂²	1	1	yes	characteristic
168	#11719071	C₂²	1	1	yes	characteristic
169	#11719071	C₂²	1	1	yes	characteristic
170	#11719071	C₂²	1	1	yes	characteristic
171	#11719071	C₂²	1	1	yes	characteristic
172	#11719071	C₂²	1	1	yes	characteristic
173	#11719071	C₂²	1	1	yes	characteristic
174	#11719071	C₂²	1	1	yes	characteristic
175	#11719070	C₂²	1	1	yes	characteristic
176	#11719070	C₂²	1	1	yes	characteristic
177	#11719070	C₂²	1	1	yes	characteristic
178	#11719070	C₂²	1	1	yes	characteristic
179	#11719070	C₂²	1	1	yes	characteristic
180	#11719070	C₂²	1	1	yes	characteristic
181	#11719070	C₂²	1	1	yes	characteristic
182	#11719070	C₂²	1	1	yes	characteristic
183	#11719070	C₂²	1	1	yes	characteristic
184	#11719070	C₂²	1	1	yes	characteristic
185	#11719070	C₂²	1	1	yes	characteristic
186	#11719070	C₂²	1	1	yes	characteristic
187	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
188	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
189	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
190	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
191	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
192	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
193	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
194	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
195	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
196	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
197	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
198	C₂²⋊C₄×#261	C₂²	1	1	yes	characteristic
199	#11719059	C₂²	1	1	yes	characteristic
200	#11719057	C₂²	1	1	yes	characteristic
201	#11719057	C₂²	1	1	yes	characteristic
202	#11719057	C₂²	1	1	yes	characteristic
203	C₂³×#261	C₂³	1	1	yes	characteristic
204	C₂³×#261	C₂³	1	1	yes	characteristic
205	C₂³×#261	C₂³	1	1	yes	characteristic
206	C₂³×#261	C₂³	1	1	yes	characteristic
207	C₂³×#261	C₂³	1	1	yes	characteristic
208	C₂³×#261	C₂³	1	1	yes	characteristic
209	C₂³×#261	C₂³	1	1	yes	characteristic
210	C₂³×#261	C₂³	1	1	yes	characteristic
211	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
212	C₂×Q₈×D₁₃	C₂³	1	1	yes	characteristic
213	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
214	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
215	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
216	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
217	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
218	C₂×D₄×D₁₃	C₂³	1	1	yes	characteristic
219	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
220	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
221	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
222	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
223	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
224	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
225	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
226	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
227	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
229	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
230	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
232	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
233	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
243	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊#261	C₂³	1	1	yes	characteristic
247	Q₈×#261	—	4	2	no	—
248	Q₈×#261	—	4	2	no	—
249	D₄×#261	—	4	2	no	—
250	D₄×#261	—	4	2	no	—
251	D₄×#261	—	4	2	no	—
252	D₄×#261	—	4	2	no	—
253	D₄×#261	—	4	2	no	—
254	D₄×#261	—	4	2	no	—
255	#88237	—	4	2	no	—
256	#88237	—	4	2	no	—
257	C₂×C₄⋊#261	—	4	2	no	—
258	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
262	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
263	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊#261	C₂³	1	1	yes	characteristic
280	C₂×C₄×#261	—	4	2	no	—
281	C₂×C₄×#261	C₂³	1	1	yes	characteristic
282	C₂×C₄×#261	C₂³	1	1	yes	characteristic
283	C₂×C₄×#261	C₂³	1	1	yes	characteristic
284	C₂×C₄×#261	C₂³	1	1	yes	characteristic
285	C₂×C₄×#261	C₂³	1	1	yes	characteristic
286	C₂×C₄×#261	C₂³	1	1	yes	characteristic
287	C₂×C₄×#261	C₂³	1	1	yes	characteristic
288	C₂×C₄×#261	C₂³	1	1	yes	characteristic
289	C₂×C₄×#261	C₂³	1	1	yes	characteristic
290	C₂×C₄×#261	C₂³	1	1	yes	characteristic
291	C₂×C₄×#261	C₂³	1	1	yes	characteristic
292	C₂×C₄×#261	C₂³	1	1	yes	characteristic
293	C₂×C₄×#261	C₂³	1	1	yes	characteristic
294	C₂×C₄×#261	C₂³	1	1	yes	characteristic
295	C₂×C₄×#261	C₂³	1	1	yes	characteristic
296	C₂×C₄×#261	C₂³	1	1	yes	characteristic
297	C₂×C₄×#261	C₂³	1	1	yes	characteristic
298	C₂×C₄×#261	C₂³	1	1	yes	characteristic
299	C₂×C₄×#261	C₂³	1	1	yes	characteristic
300	C₂×C₄×#261	C₂³	1	1	yes	characteristic
301	C₂×C₄×#261	C₂³	1	1	yes	characteristic
302	C₂×C₄×#261	C₂³	1	1	yes	characteristic
303	C₁₃×#125	C₂×C₄	1	1	yes	characteristic, complemented
304	C₁₃×#124	C₂×C₄	1	1	yes	characteristic, complemented
305	C₁₃×#124	C₂×C₄	1	1	yes	characteristic, complemented
306	C₁₃×#123	C₂×C₄	1	1	yes	characteristic, complemented
307	C₁₃×#123	C₂×C₄	1	1	yes	characteristic, complemented
308	C₁₃×#123	C₂×C₄	1	1	yes	characteristic, complemented
309	C₁₃×#123	C₂×C₄	1	1	yes	characteristic, complemented
310	C₁₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
311	C₁₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
312	C₁₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
313	C₁₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic, complemented
314	C₁₃×#121	C₂×C₄	1	1	yes	characteristic, complemented
315	C₁₃×#121	C₂×C₄	1	1	yes	characteristic, complemented
316	C₁₃×#121	C₂×C₄	1	1	yes	characteristic, complemented
317	C₁₃×#121	C₂×C₄	1	1	yes	characteristic, complemented
318	#88201	C₂×C₄	1	1	yes	characteristic, complemented
319	#88201	C₂×C₄	1	1	yes	characteristic, complemented
320	#88200	C₂×C₄	1	1	yes	characteristic, complemented
321	#88200	C₂×C₄	1	1	yes	characteristic, complemented
322	#88200	C₂×C₄	1	1	yes	characteristic, complemented
323	#88200	C₂×C₄	1	1	yes	characteristic, complemented
324	#88193	C₂×C₄	1	1	yes	characteristic, complemented
325	#88193	C₂×C₄	1	1	yes	characteristic, complemented
326	#88193	C₂×C₄	1	1	yes	characteristic, complemented
327	#88193	C₂×C₄	1	1	yes	characteristic, complemented
328	#88193	C₂×C₄	1	1	yes	characteristic, complemented
329	#88193	C₂×C₄	1	1	yes	characteristic, complemented
330	#88193	C₂×C₄	1	1	yes	characteristic, complemented
331	#88193	C₂×C₄	1	1	yes	characteristic, complemented
332	#88192	C₂×C₄	1	1	yes	characteristic, complemented
333	#88192	C₂×C₄	1	1	yes	characteristic, complemented
334	#88192	C₂×C₄	1	1	yes	characteristic, complemented
335	#88192	C₂×C₄	1	1	yes	characteristic, complemented
336	#88190	C₂×C₄	1	1	yes	characteristic, complemented
337	#88190	C₂×C₄	1	1	yes	characteristic, complemented
338	#88189	C₂×C₄	1	1	yes	characteristic, complemented
339	#88189	C₂×C₄	1	1	yes	characteristic, complemented
340	#88189	C₂×C₄	1	1	yes	characteristic, complemented
341	#88189	C₂×C₄	1	1	yes	characteristic, complemented
342	#88184	C₂×C₄	1	1	yes	characteristic, complemented
343	#88184	C₂×C₄	1	1	yes	characteristic, complemented
344	#88184	C₂×C₄	1	1	yes	characteristic, complemented
345	#88184	C₂×C₄	1	1	yes	characteristic, complemented
346	#88183	C₂×C₄	1	1	yes	characteristic, complemented
347	#88183	C₂×C₄	1	1	yes	characteristic, complemented
348	#88183	C₂×C₄	1	1	yes	characteristic, complemented
349	#88183	C₂×C₄	1	1	yes	characteristic, complemented
350	#88178	C₂×C₄	1	1	yes	characteristic, complemented
351	#88178	C₂×C₄	1	1	yes	characteristic, complemented
352	#88178	C₂×C₄	1	1	yes	characteristic, complemented
353	#88178	C₂×C₄	1	1	yes	characteristic, complemented
354	#88151	C₂×C₄	1	1	yes	characteristic, complemented
355	#88151	C₂×C₄	1	1	yes	characteristic, complemented
356	#88151	C₂×C₄	1	1	yes	characteristic, complemented
357	#88151	C₂×C₄	1	1	yes	characteristic, complemented
358	#88150	C₂×C₄	1	1	yes	characteristic, complemented
359	#88150	C₂×C₄	1	1	yes	characteristic, complemented
360	#88150	C₂×C₄	1	1	yes	characteristic, complemented
361	#88150	C₂×C₄	1	1	yes	characteristic, complemented
362	#88150	C₂×C₄	1	1	yes	characteristic, complemented
363	#88150	C₂×C₄	1	1	yes	characteristic, complemented
364	#88150	C₂×C₄	1	1	yes	characteristic, complemented
365	#88150	C₂×C₄	1	1	yes	characteristic, complemented
366	#88149	C₂×C₄	1	1	yes	characteristic, complemented
367	#88149	C₂×C₄	1	1	yes	characteristic, complemented
368	#88149	C₂×C₄	1	1	yes	characteristic, complemented
369	#88149	C₂×C₄	1	1	yes	characteristic, complemented
370	#88148	C₂×C₄	1	1	yes	characteristic, complemented
371	#88148	C₂×C₄	1	1	yes	characteristic, complemented
372	#88148	C₂×C₄	1	1	yes	characteristic, complemented
373	#88148	C₂×C₄	1	1	yes	characteristic, complemented
374	#88148	C₂×C₄	1	1	yes	characteristic, complemented
375	#88148	C₂×C₄	1	1	yes	characteristic, complemented
376	#88148	C₂×C₄	1	1	yes	characteristic, complemented
377	#88148	C₂×C₄	1	1	yes	characteristic, complemented
378	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
379	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
380	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
381	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
382	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
383	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
384	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
385	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
386	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
387	C₄⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
388	#88144	C₂×C₄	1	1	yes	characteristic, complemented
389	#88144	C₂×C₄	1	1	yes	characteristic, complemented
390	#88143	C₂×C₄	1	1	yes	characteristic, complemented
391	#88143	C₂×C₄	1	1	yes	characteristic, complemented
392	#88143	C₂×C₄	1	1	yes	characteristic, complemented
393	#88143	C₂×C₄	1	1	yes	characteristic, complemented
394	#88140	C₂×C₄	1	1	yes	characteristic, complemented
395	#88140	C₂×C₄	1	1	yes	characteristic, complemented
396	#88140	C₂×C₄	1	1	yes	characteristic, complemented
397	#88140	C₂×C₄	1	1	yes	characteristic, complemented
398	#88139	C₂×C₄	1	1	yes	characteristic, complemented
399	#88139	C₂×C₄	1	1	yes	characteristic, complemented
400	#88139	C₂×C₄	1	1	yes	characteristic, complemented
401	#88139	C₂×C₄	1	1	yes	characteristic, complemented
402	#88139	C₂×C₄	1	1	yes	characteristic, complemented
403	#88139	C₂×C₄	1	1	yes	characteristic, complemented
404	#88139	C₂×C₄	1	1	yes	characteristic, complemented
405	#88139	C₂×C₄	1	1	yes	characteristic, complemented
406	#88138	C₂×C₄	1	1	yes	characteristic, complemented
407	#88138	C₂×C₄	1	1	yes	characteristic, complemented
408	#88138	C₂×C₄	1	1	yes	characteristic, complemented
409	#88138	C₂×C₄	1	1	yes	characteristic, complemented
410	#88138	C₂×C₄	1	1	yes	characteristic, complemented
411	#88138	C₂×C₄	1	1	yes	characteristic, complemented
412	#88138	C₂×C₄	1	1	yes	characteristic, complemented
413	#88138	C₂×C₄	1	1	yes	characteristic, complemented
414	#88137	C₂×C₄	1	1	yes	characteristic, complemented
415	#88137	C₂×C₄	1	1	yes	characteristic, complemented
416	#88137	C₂×C₄	1	1	yes	characteristic, complemented
417	#88137	C₂×C₄	1	1	yes	characteristic, complemented
418	#88137	C₂×C₄	1	1	yes	characteristic, complemented
419	#88137	C₂×C₄	1	1	yes	characteristic, complemented
420	#88137	C₂×C₄	1	1	yes	characteristic, complemented
421	#88137	C₂×C₄	1	1	yes	characteristic, complemented
422	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
423	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
424	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
425	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
426	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
427	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
428	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
429	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
430	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
431	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
432	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
433	C₂²⋊C₄×D₁₃	C₂³	1	1	yes	characteristic
434	#88132	C₂×C₄	1	1	yes	characteristic, complemented
435	#88132	C₂×C₄	1	1	yes	characteristic, complemented
436	#88132	C₂×C₄	1	1	yes	characteristic, complemented
437	#88132	C₂×C₄	1	1	yes	characteristic, complemented
438	#88132	C₂×C₄	1	1	yes	characteristic, complemented
439	#88132	C₂×C₄	1	1	yes	characteristic, complemented
440	#88132	C₂×C₄	1	1	yes	characteristic, complemented
441	#88132	C₂×C₄	1	1	yes	characteristic, complemented
442	#88129	C₂×C₄	1	1	yes	characteristic, complemented
443	#88129	C₂×C₄	1	1	yes	characteristic, complemented
444	C₄²×D₁₃	C₂³	1	1	yes	characteristic
445	#88124	C₂×C₄	1	1	yes	characteristic, complemented
446	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
447	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
448	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
449	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
450	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
451	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
452	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
453	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
454	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
455	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
456	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
457	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
458	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
459	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
460	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
461	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
462	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
463	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
464	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
465	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
466	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
467	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
468	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
469	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
470	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
471	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
472	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
473	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
474	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
475	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
476	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
477	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
478	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
479	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
480	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
481	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
482	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
483	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
484	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
485	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
486	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
487	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
488	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
489	(C₂×#261)⋊C₄	C₂³	1	1	yes	characteristic
490	#34519	—	13	1	no	maximal, Sylow
491	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
492	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
493	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
494	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
495	C₂²×#261	—	2	2	no	—
496	C₂²×#261	—	2	2	no	—
497	C₂²×#261	—	2	2	no	—
498	C₂²×#261	—	2	2	no	—
499	C₂²×#261	—	2	2	no	—
500	C₂²×#261	—	2	2	no	—
501	C₂²×#261	—	4	1	no	—
502	C₂²×#261	—	4	1	no	—
503	C₂²×#261	—	4	1	no	—
504	C₂²×#261	—	4	1	no	—
505	C₂²×#261	—	4	1	no	—
506	C₂²×#261	—	4	1	no	—
507	C₂²×#261	—	4	1	no	—
508	C₂²×#261	—	4	1	no	—
509	C₂²×#261	—	4	1	no	—
510	C₂²×#261	—	4	1	no	—
511	C₂²×#261	—	4	1	no	—
512	C₂²×#261	—	4	1	no	—
513	C₂²×#261	—	4	1	no	—
514	C₂²×#261	—	4	1	no	—
515	C₂²×#261	—	4	1	no	—
516	C₂²×#261	—	4	1	no	—
517	C₂²×#261	—	4	1	no	—
518	C₂²×#261	—	4	1	no	—
519	C₂²×#261	C₂⁴	1	1	yes	characteristic
520	C₂²×#261	C₂⁴	1	1	yes	characteristic
521	C₂²×#261	C₂⁴	1	1	yes	characteristic
522	C₂²×#261	C₂⁴	1	1	yes	characteristic
523	C₂²×#261	C₂⁴	1	1	yes	characteristic
524	C₂²×#261	C₂⁴	1	1	yes	characteristic
525	C₂²×#261	C₂⁴	1	1	yes	characteristic
526	C₂²×#261	C₂⁴	1	1	yes	characteristic
527	C₂²×#261	C₂⁴	1	1	yes	characteristic
528	C₂²×#261	C₂⁴	1	1	yes	characteristic
529	C₂²×#261	C₂⁴	1	1	yes	characteristic
530	C₂²×#261	C₂⁴	1	1	yes	characteristic
531	C₂²×#261	C₂⁴	1	1	yes	characteristic
532	C₂²×#261	C₂⁴	1	1	yes	characteristic
533	C₂²×#261	C₂⁴	1	1	yes	characteristic
534	C₂²×#261	C₂⁴	1	1	yes	characteristic
535	C₂×Q₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
536	C₂×Q₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
537	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
538	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
539	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
540	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
541	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
542	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
543	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
544	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
545	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
546	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
547	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
548	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
549	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
550	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
551	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
552	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
553	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
554	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
555	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
556	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
557	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
558	C₂×C₂²⋊D₁₃	C₂²×C₄	1	1	yes	characteristic
559	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
560	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
561	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
562	C₂²×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
563	Q₈×D₁₃	—	4	1	no	—
564	Q₈×D₁₃	—	4	1	no	—
565	Q₈×D₁₃	—	4	1	no	—
566	Q₈×D₁₃	—	4	1	no	—
567	D₄×D₁₃	—	4	1	no	—
568	D₄×D₁₃	—	4	1	no	—
569	D₄×D₁₃	—	4	1	no	—
570	D₄×D₁₃	—	4	1	no	—
571	D₄×D₁₃	—	4	1	no	—
572	D₄×D₁₃	—	4	1	no	—
573	D₄×D₁₃	—	4	1	no	—
574	D₄×D₁₃	—	4	1	no	—
575	D₄×D₁₃	—	4	1	no	—
576	D₄×D₁₃	—	4	1	no	—
577	D₄×D₁₃	—	4	1	no	—
578	D₄×D₁₃	—	4	1	no	—
579	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
580	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
581	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
582	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
583	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
584	C₂×D₅₂	C₂²×C₄	1	1	yes	characteristic
585	C₂×C₄×D₁₃	—	4	1	no	—
586	C₂×C₄×D₁₃	—	4	1	no	—
587	C₂×C₄×D₁₃	—	4	1	no	—
588	C₂×C₄×D₁₃	—	4	1	no	—
589	C₂×C₄×D₁₃	—	4	1	no	—
590	C₂×C₄×D₁₃	—	4	1	no	—
591	C₂×C₄×D₁₃	—	4	1	no	—
592	C₂×C₄×D₁₃	—	4	1	no	—
593	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
594	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
595	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
596	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
597	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
598	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
599	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
600	C₂×C₄×D₁₃	C₂²×C₄	1	1	yes	characteristic
601	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
602	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
603	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
604	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
605	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
606	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
607	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
608	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
609	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
610	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
611	C₂×C₄×D₁₃	C₂⁴	1	1	yes	characteristic
612	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
613	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
614	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
615	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
616	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
617	C₂×Dic₂₆	C₂²×C₄	1	1	yes	characteristic
618	C₂²⋊#261	—	2	2	no	—
619	C₂²⋊#261	—	2	2	no	—
620	C₂²⋊#261	—	2	2	no	—
621	C₂²⋊#261	—	2	2	no	—
622	C₂²⋊#261	—	2	2	no	—
623	C₂²⋊#261	—	2	2	no	—
624	C₂²⋊#261	—	4	1	no	—
625	C₂²⋊#261	—	4	1	no	—
626	C₂²⋊#261	—	4	1	no	—
627	C₂²⋊#261	—	4	1	no	—
628	C₂²⋊#261	—	4	1	no	—
629	C₂²⋊#261	—	4	1	no	—
630	C₂²⋊#261	—	4	1	no	—
631	C₂²⋊#261	—	4	1	no	—
632	C₂²⋊#261	—	4	1	no	—
633	C₂²⋊#261	—	4	1	no	—
634	C₂²⋊#261	—	4	1	no	—
635	C₂²⋊#261	—	4	1	no	—
636	C₂²⋊#261	—	4	1	no	—
637	C₂²⋊#261	—	4	1	no	—
638	C₂²⋊#261	—	4	1	no	—
639	C₂²⋊#261	—	4	1	no	—
640	C₂²⋊#261	—	4	1	no	—
641	C₂²⋊#261	—	4	1	no	—
642	C₄⋊#261	—	2	2	no	—
643	C₄⋊#261	—	2	2	no	—
644	C₄⋊#261	—	2	2	no	—
645	C₄⋊#261	—	2	2	no	—
646	C₄⋊#261	—	4	1	no	—
647	C₄⋊#261	—	4	1	no	—
648	C₄⋊#261	—	4	1	no	—
649	C₄⋊#261	—	4	1	no	—
650	C₄⋊#261	—	4	1	no	—
651	C₄⋊#261	—	4	1	no	—
652	C₄⋊#261	—	4	1	no	—
653	C₄⋊#261	—	4	1	no	—
654	C₄⋊#261	—	4	1	no	—
655	C₄⋊#261	—	4	1	no	—
656	C₄⋊#261	—	4	1	no	—
657	C₄⋊#261	—	4	1	no	—
658	C₄⋊#261	—	4	1	no	—
659	C₄⋊#261	—	4	1	no	—
660	C₄⋊#261	—	4	1	no	—
661	C₄⋊#261	—	4	1	no	—
662	C₄⋊#261	—	4	1	no	—
663	C₄⋊#261	—	4	1	no	—
664	C₄×#261	—	2	2	no	—
665	C₄×#261	—	2	2	no	—
666	C₄×#261	—	2	2	no	—
667	C₄×#261	—	2	2	no	—
668	C₄×#261	—	2	2	no	—
669	C₄×#261	—	2	2	no	—
670	C₄×#261	—	2	2	no	—
671	C₄×#261	—	4	1	no	—
672	C₄×#261	—	4	1	no	—
673	C₄×#261	—	4	1	no	—
674	C₄×#261	—	4	1	no	—
675	C₄×#261	—	4	1	no	—
676	C₄×#261	—	4	1	no	—
677	C₄×#261	—	4	1	no	—
678	C₄×#261	—	4	1	no	—
679	C₄×#261	—	4	1	no	—
680	C₄×#261	—	4	1	no	—
681	C₄×#261	—	4	1	no	—
682	C₄×#261	—	4	1	no	—
683	C₄×#261	—	4	1	no	—
684	C₄×#261	—	4	1	no	—
685	C₄×#261	—	4	1	no	—
686	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
687	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
688	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
689	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
690	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
691	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
692	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
693	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
694	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
695	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
696	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
697	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
698	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
699	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
700	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
701	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
702	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
703	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
704	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
705	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
706	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
707	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
708	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
709	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
710	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
711	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
712	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
713	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
714	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
715	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
716	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
717	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
718	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
719	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
720	C₂²⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
721	#6103	C₂²×C₄	1	1	yes	characteristic
722	#6103	C₂²×C₄	1	1	yes	characteristic
723	#6103	C₂²×C₄	1	1	yes	characteristic
724	#6103	C₂²×C₄	1	1	yes	characteristic
725	#6103	C₂²×C₄	1	1	yes	characteristic
726	#6103	C₂²×C₄	1	1	yes	characteristic
727	#6103	C₂²×C₄	1	1	yes	characteristic
728	#6103	C₂²×C₄	1	1	yes	characteristic
729	#6103	C₂²×C₄	1	1	yes	characteristic
730	#6103	C₂²×C₄	1	1	yes	characteristic
731	#6103	C₂²×C₄	1	1	yes	characteristic
732	#6103	C₂²×C₄	1	1	yes	characteristic
733	#6103	C₂²×C₄	1	1	yes	characteristic
734	#6103	C₂²×C₄	1	1	yes	characteristic
735	#6103	C₂²×C₄	1	1	yes	characteristic
736	#6103	C₂²×C₄	1	1	yes	characteristic
737	#6103	C₂²×C₄	1	1	yes	characteristic
738	#6103	C₂²×C₄	1	1	yes	characteristic
739	#6103	C₂²×C₄	1	1	yes	characteristic
740	#6103	C₂²×C₄	1	1	yes	characteristic
741	#6103	C₂²×C₄	1	1	yes	characteristic
742	#6103	C₂²×C₄	1	1	yes	characteristic
743	#6103	C₂²×C₄	1	1	yes	characteristic
744	#6103	C₂²×C₄	1	1	yes	characteristic
745	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
746	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
747	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
748	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
749	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
750	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
751	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
752	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
753	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
754	C₄⋊Dic₁₃	C₂²×C₄	1	1	yes	characteristic
755	#6101	C₂²×C₄	1	1	yes	characteristic
756	#6101	C₂²×C₄	1	1	yes	characteristic
757	#6101	C₂²×C₄	1	1	yes	characteristic
758	#6101	C₂²×C₄	1	1	yes	characteristic
759	#6101	C₂²×C₄	1	1	yes	characteristic
760	#6101	C₂²×C₄	1	1	yes	characteristic
761	#6101	C₂²×C₄	1	1	yes	characteristic
762	#6101	C₂²×C₄	1	1	yes	characteristic
763	#6101	C₂²×C₄	1	1	yes	characteristic
764	#6101	C₂²×C₄	1	1	yes	characteristic
765	#6101	C₂²×C₄	1	1	yes	characteristic
766	#6101	C₂²×C₄	1	1	yes	characteristic
767	#6101	C₂²×C₄	1	1	yes	characteristic
768	#6101	C₂²×C₄	1	1	yes	characteristic
769	#6101	C₂²×C₄	1	1	yes	characteristic
770	#6101	C₂²×C₄	1	1	yes	characteristic
771	#6101	C₂²×C₄	1	1	yes	characteristic
772	#6101	C₂²×C₄	1	1	yes	characteristic
773	#6101	C₂²×C₄	1	1	yes	characteristic
774	#6101	C₂²×C₄	1	1	yes	characteristic
775	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
776	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
777	C₄×Dic₁₃	C₂²×C₄	1	1	yes	characteristic
778	C₂×#562	—	13	1	no	—
779	#2378	—	13	1	no	—
780	#2377	—	13	1	no	—
781	#2376	—	13	1	no	—
782	#2374	—	13	1	no	—
783	#2372	—	13	1	no	—
784	#2372	—	13	1	no	—
785	#2371	—	13	1	no	—
786	#2368	—	13	1	no	—
787	#2364	—	13	1	no	—
788	#2363	—	13	1	no	—
789	#2362	—	13	1	no	—
790	#2361	—	13	1	no	—
791	#2360	—	13	1	no	—
792	#2359	—	13	1	no	—
793	#2359	—	13	1	no	—
794	#2335	—	13	1	no	—
795	#2335	—	13	1	no	—
796	#2333	—	13	1	no	—
797	#2332	—	13	1	no	—
798	#2330	—	13	1	no	—
799	#2329	—	13	1	no	—
800	#2326	—	13	1	no	—
801	#2326	—	13	1	no	—
802	#2325	—	13	1	no	—
803	#2324	—	13	1	no	—
804	#2323	—	13	1	no	—
805	#2322	—	13	1	no	—
806	C₄×C₂²⋊Q₈	—	13	1	no	—
807	C₄×#123	—	13	1	no	—
808	C₄×#121	—	13	1	no	—
809	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
810	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
811	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
812	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
813	C₂²×D₁₃	—	2	1	no	—
814	C₂²×D₁₃	—	2	1	no	—
815	C₂²×D₁₃	—	2	1	no	—
816	C₂²×D₁₃	—	2	1	no	—
817	C₂²×D₁₃	—	2	1	no	—
818	C₂²×D₁₃	—	2	1	no	—
819	C₂²×D₁₃	—	2	1	no	—
820	C₂²×D₁₃	—	2	1	no	—
821	C₂²×D₁₃	—	2	1	no	—
822	C₂²×D₁₃	—	2	1	no	—
823	C₂²×D₁₃	—	2	1	no	—
824	C₂²×D₁₃	—	2	1	no	—
825	C₂²×D₁₃	—	2	1	no	—
826	C₂²×D₁₃	—	2	1	no	—
827	C₂²×D₁₃	—	2	1	no	—
828	C₂²×D₁₃	—	2	1	no	—
829	C₂²×D₁₃	—	2	1	no	—
830	C₂²×D₁₃	—	2	1	no	—
831	C₂²×D₁₃	—	2	1	no	—
832	C₂²×D₁₃	—	2	1	no	—
833	C₂²×D₁₃	—	2	1	no	—
834	C₂²×D₁₃	—	2	1	no	—
835	C₂²×D₁₃	—	2	1	no	—
836	C₂²×D₁₃	—	2	1	no	—
837	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
838	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
839	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
840	C₂²×D₁₃	C₂³×C₄	1	1	yes	characteristic
841	C₂²×D₁₃	C₂⁵	1	1	yes	characteristic
842	C₂×#261	—	2	1	no	—
843	C₂×#261	—	2	1	no	—
844	C₂×#261	—	2	1	no	—
845	C₂×#261	—	2	1	no	—
846	C₂×#261	—	2	1	no	—
847	C₂×#261	—	2	1	no	—
848	C₂×#261	—	2	1	no	—
849	C₂×#261	—	2	1	no	—
850	C₂×#261	—	2	1	no	—
851	C₂×#261	—	2	1	no	—
852	C₂×#261	—	2	1	no	—
853	C₂×#261	—	2	1	no	—
854	C₂×#261	—	2	1	no	—
855	C₂×#261	—	2	1	no	—
856	C₂×#261	—	2	1	no	—
857	C₂×#261	—	2	1	no	—
858	C₂×#261	—	2	1	no	—
859	C₂×#261	—	2	1	no	—
860	C₂×#261	—	2	1	no	—
861	C₂×#261	—	2	1	no	—
862	C₂×#261	—	2	1	no	—
863	C₂×#261	—	2	1	no	—
864	C₂×#261	—	2	1	no	—
865	C₂×#261	—	2	1	no	—
866	C₂×#261	—	2	1	no	—
867	C₂×#261	—	2	1	no	—
868	C₂×#261	—	2	1	no	—
869	C₂×#261	—	2	1	no	—
870	C₂×#261	—	2	1	no	—
871	C₂×#261	—	2	1	no	—
872	C₂×#261	—	2	1	no	—
873	C₂×#261	—	2	1	no	—
874	C₂×#261	—	2	1	no	—
875	C₂×#261	—	2	1	no	—
876	C₂×#261	—	2	1	no	—
877	C₂×#261	—	2	1	no	—
878	C₂×#261	—	2	1	no	—
879	C₂×#261	—	2	1	no	—
880	C₂×#261	—	2	1	no	—
881	C₂×#261	—	2	1	no	—
882	C₂×#261	—	2	1	no	—
883	C₂×#261	—	2	1	no	—
884	C₂×#261	—	2	1	no	—
885	C₂×#261	—	2	1	no	—
886	C₂×#261	—	2	1	no	—
887	C₂×#261	—	4	4	no	—
888	C₂×#261	—	4	4	no	—
889	C₂×#261	—	8	2	no	—
890	C₂×#261	—	8	2	no	—
891	C₂×#261	—	8	2	no	—
892	C₂×#261	—	8	2	no	—
893	C₂×#261	—	8	2	no	—
894	C₂×#261	—	8	2	no	—
895	C₂×#261	H(5,𝔽₂)	1	2	yes	—
896	C₂×#261	H(5,𝔽₂)	1	2	yes	—
897	C₂×#261	2₋¹⁺⁴	1	2	yes	—
898	Q₈×C₁₃	—	4	1	no	—
899	Q₈×C₁₃	—	4	1	no	—
900	D₄×C₁₃	—	4	1	no	—
901	D₄×C₁₃	—	4	1	no	—
902	D₄×C₁₃	—	4	1	no	—
903	D₄×C₁₃	—	4	1	no	—
904	D₄×C₁₃	—	4	1	no	—
905	D₄×C₁₃	—	4	1	no	—
906	C₂×C₄×C₁₃	—	4	1	no	—
907	C₂×C₄×C₁₃	—	4	1	no	—
908	C₂×C₄×C₁₃	—	4	1	no	—
909	C₂×C₄×C₁₃	—	4	1	no	—
910	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
911	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
912	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
913	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
914	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
915	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
916	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
917	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
918	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
919	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
920	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
921	C₂²⋊D₁₃	—	4	1	no	—
922	C₂²⋊D₁₃	—	4	1	no	—
923	C₂²⋊D₁₃	—	4	1	no	—
924	C₂²⋊D₁₃	—	4	1	no	—
925	C₂²⋊D₁₃	—	4	1	no	—
926	C₂²⋊D₁₃	—	4	1	no	—
927	C₂²⋊D₁₃	—	4	1	no	—
928	C₂²⋊D₁₃	—	4	1	no	—
929	C₂²⋊D₁₃	—	4	1	no	—
930	C₂²⋊D₁₃	—	4	1	no	—
931	C₂²⋊D₁₃	—	4	1	no	—
932	C₂²⋊D₁₃	—	4	1	no	—
933	C₂×Dic₁₃	—	4	1	no	—
934	C₂×Dic₁₃	—	4	1	no	—
935	C₂×Dic₁₃	—	4	1	no	—
936	C₂×Dic₁₃	—	4	1	no	—
937	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
938	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
939	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
940	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
941	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
942	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
943	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
944	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
945	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
946	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
947	C₂×Dic₁₃	C₂³×C₄	1	1	yes	characteristic
948	D₅₂	—	4	1	no	—
949	D₅₂	—	4	1	no	—
950	D₅₂	—	4	1	no	—
951	D₅₂	—	4	1	no	—
952	D₅₂	—	4	1	no	—
953	D₅₂	—	4	1	no	—
954	C₄×D₁₃	—	2	1	no	—
955	C₄×D₁₃	—	2	1	no	—
956	C₄×D₁₃	—	2	1	no	—
957	C₄×D₁₃	—	2	1	no	—
958	C₄×D₁₃	—	2	1	no	—
959	C₄×D₁₃	—	2	1	no	—
960	C₄×D₁₃	—	2	1	no	—
961	C₄×D₁₃	—	2	1	no	—
962	C₄×D₁₃	—	2	1	no	—
963	C₄×D₁₃	—	2	1	no	—
964	C₄×D₁₃	—	2	1	no	—
965	C₄×D₁₃	—	2	1	no	—
966	C₄×D₁₃	—	2	1	no	—
967	C₄×D₁₃	—	2	1	no	—
968	C₄×D₁₃	—	2	1	no	—
969	C₄×D₁₃	—	2	1	no	—
970	C₄×D₁₃	—	2	1	no	—
971	C₄×D₁₃	—	2	1	no	—
972	C₄×D₁₃	—	2	1	no	—
973	C₄×D₁₃	—	2	1	no	—
974	C₄×D₁₃	—	2	1	no	—
975	C₄×D₁₃	—	2	1	no	—
976	C₄×D₁₃	—	4	1	no	—
977	C₄×D₁₃	—	4	1	no	—
978	C₄×D₁₃	—	4	1	no	—
979	C₄×D₁₃	—	4	1	no	—
980	C₄×D₁₃	—	4	1	no	—
981	C₄×D₁₃	—	4	1	no	—
982	C₄×D₁₃	—	4	1	no	—
983	C₄×D₁₃	—	4	1	no	—
984	Dic₂₆	—	4	1	no	—
985	Dic₂₆	—	4	1	no	—
986	Dic₂₆	—	4	1	no	—
987	Dic₂₆	—	4	1	no	—
988	Dic₂₆	—	4	1	no	—
989	Dic₂₆	—	4	1	no	—
990	#562	—	13	1	no	—
991	#562	—	13	1	no	—
992	#562	—	13	1	no	—
993	#562	—	13	1	no	—
994	#562	—	13	1	no	—
995	#562	—	13	1	no	—
996	#562	—	13	1	no	—
997	#562	—	13	1	no	—
998	#562	—	13	1	no	—
999	#562	—	13	1	no	—
1000	#562	—	13	1	no	—
1001	#562	—	13	1	no	—
1002	#562	—	13	1	no	—
1003	#562	—	13	1	no	—
1004	#562	—	13	1	no	—
1005	#562	#261	1	1	yes	characteristic, complemented
1006	C₂×#125	—	13	1	no	—
1007	C₂×#124	—	13	1	no	—
1008	C₂×#124	—	13	1	no	—
1009	C₂×#123	—	13	1	no	—
1010	C₂×#123	—	13	1	no	—
1011	C₂×#123	—	13	1	no	—
1012	C₂×#123	—	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×#121	—	13	1	no	—
1018	C₂×#121	—	13	1	no	—
1019	C₂×#121	—	13	1	no	—
1020	C₂×#121	—	13	1	no	—
1021	C₂×C₄×Q₈	—	13	1	no	—
1022	C₂×C₄×Q₈	—	13	1	no	—
1023	C₂×C₄×D₄	—	13	1	no	—
1024	C₂×C₄×D₄	—	13	1	no	—
1025	C₂×C₄×D₄	—	13	1	no	—
1026	C₂×C₄×D₄	—	13	1	no	—
1027	C₂×C₄×D₄	—	13	1	no	—
1028	C₂×C₄×D₄	—	13	1	no	—
1029	C₂×#117	—	13	1	no	—
1030	C₂×#117	—	13	1	no	—
1031	C₂²×C₄⋊C₄	—	13	1	no	—
1032	C₂²×C₄²	—	13	1	no	—
1033	#391	—	13	1	no	—
1034	#391	—	13	1	no	—
1035	#391	—	13	1	no	—
1036	#391	—	13	1	no	—
1037	#391	—	13	1	no	—
1038	#391	—	13	1	no	—
1039	#390	—	13	1	no	—
1040	#390	—	13	1	no	—
1041	#390	—	13	1	no	—
1042	#390	—	13	1	no	—
1043	#390	—	13	1	no	—
1044	#390	—	13	1	no	—
1045	#389	—	13	1	no	—
1046	#389	—	13	1	no	—
1047	#389	—	13	1	no	—
1048	#389	—	13	1	no	—
1049	#389	—	13	1	no	—
1050	#389	—	13	1	no	—
1051	#389	—	13	1	no	—
1052	#389	—	13	1	no	—
1053	#389	—	13	1	no	—
1054	#389	—	13	1	no	—
1055	#388	—	13	1	no	—
1056	#388	—	13	1	no	—
1057	#388	—	13	1	no	—
1058	#388	—	13	1	no	—
1059	#388	—	13	1	no	—
1060	#388	—	13	1	no	—
1061	#388	—	13	1	no	—
1062	#388	—	13	1	no	—
1063	#388	—	13	1	no	—
1064	#388	—	13	1	no	—
1065	#388	—	13	1	no	—
1066	#388	—	13	1	no	—
1067	#388	—	13	1	no	—
1068	#388	—	13	1	no	—
1069	#388	—	13	1	no	—
1070	#388	—	13	1	no	—
1071	#388	—	13	1	no	—
1072	#388	—	13	1	no	—
1073	#388	—	13	1	no	—
1074	#388	—	13	1	no	—
1075	#388	—	13	1	no	—
1076	#388	—	13	1	no	—
1077	#388	—	13	1	no	—
1078	#388	—	13	1	no	—
1079	#387	—	13	1	no	—
1080	#387	—	13	1	no	—
1081	#387	—	13	1	no	—
1082	#387	—	13	1	no	—
1083	#387	—	13	1	no	—
1084	#387	—	13	1	no	—
1085	#387	—	13	1	no	—
1086	#387	—	13	1	no	—
1087	#387	—	13	1	no	—
1088	#387	—	13	1	no	—
1089	#387	—	13	1	no	—
1090	#387	—	13	1	no	—
1091	#387	—	13	1	no	—
1092	#387	—	13	1	no	—
1093	#387	—	13	1	no	—
1094	#387	—	13	1	no	—
1095	#387	—	13	1	no	—
1096	#387	—	13	1	no	—
1097	#387	—	13	1	no	—
1098	#387	—	13	1	no	—
1099	#386	—	13	1	no	—
1100	#386	—	13	1	no	—
1101	#386	—	13	1	no	—
1102	#386	—	13	1	no	—
1103	#386	—	13	1	no	—
1104	#386	—	13	1	no	—
1105	#386	—	13	1	no	—
1106	#386	—	13	1	no	—
1107	#386	—	13	1	no	—
1108	#386	—	13	1	no	—
1109	#386	—	13	1	no	—
1110	#386	—	13	1	no	—
1111	#385	—	13	1	no	—
1112	#385	—	13	1	no	—
1113	#385	—	13	1	no	—
1114	#385	—	13	1	no	—
1115	#385	—	13	1	no	—
1116	#385	—	13	1	no	—
1117	#385	—	13	1	no	—
1118	#385	—	13	1	no	—
1119	#385	—	13	1	no	—
1120	#385	—	13	1	no	—
1121	#385	—	13	1	no	—
1122	#385	—	13	1	no	—
1123	#384	—	13	1	no	—
1124	#381	—	13	1	no	—
1125	#381	—	13	1	no	—
1126	#380	—	13	1	no	—
1127	#380	—	13	1	no	—
1128	#380	—	13	1	no	—
1129	#380	—	13	1	no	—
1130	C₄×C₄⋊C₄	—	13	1	no	—
1131	C₄×C₄⋊C₄	—	13	1	no	—
1132	C₄×C₄⋊C₄	—	13	1	no	—
1133	C₄×C₄⋊C₄	—	13	1	no	—
1134	C₄×C₄⋊C₄	—	13	1	no	—
1135	C₄×C₄⋊C₄	—	13	1	no	—
1136	C₄×C₄⋊C₄	—	13	1	no	—
1137	C₄×C₄⋊C₄	—	13	1	no	—
1138	C₄×C₄⋊C₄	—	13	1	no	—
1139	C₄×C₄⋊C₄	—	13	1	no	—
1140	C₄×C₂²⋊C₄	—	13	1	no	—
1141	C₄×C₂²⋊C₄	—	13	1	no	—
1142	C₄×C₂²⋊C₄	—	13	1	no	—
1143	C₄×C₂²⋊C₄	—	13	1	no	—
1144	C₄×C₂²⋊C₄	—	13	1	no	—
1145	C₄×C₂²⋊C₄	—	13	1	no	—
1146	C₄×C₂²⋊C₄	—	13	1	no	—
1147	C₄×C₂²⋊C₄	—	13	1	no	—
1148	C₄×C₂²⋊C₄	—	13	1	no	—
1149	C₄×C₂²⋊C₄	—	13	1	no	—
1150	C₄×C₂²⋊C₄	—	13	1	no	—
1151	C₄×C₂²⋊C₄	—	13	1	no	—
1152	C₄×C₂²⋊C₄	—	13	1	no	—
1153	C₄×C₂²⋊C₄	—	13	1	no	—
1154	C₄×C₂²⋊C₄	—	13	1	no	—
1155	C₄×C₂²⋊C₄	—	13	1	no	—
1156	#376	—	13	1	no	—
1157	#376	—	13	1	no	—
1158	#376	—	13	1	no	—
1159	C₂×#95	—	13	1	no	—
1160	C₂×#95	—	13	1	no	—
1161	C₂²×C₁₃	—	2	1	no	—
1162	C₂²×C₁₃	—	2	1	no	—
1163	C₂²×C₁₃	—	2	1	no	—
1164	C₂²×C₁₃	—	2	1	no	—
1165	C₂²×C₁₃	—	2	1	no	—
1166	C₂²×C₁₃	—	2	1	no	—
1167	C₂²×C₁₃	—	2	1	no	—
1168	C₂²×C₁₃	—	2	1	no	—
1169	C₂²×C₁₃	—	2	1	no	—
1170	C₂²×C₁₃	—	2	1	no	—
1171	C₂²×C₁₃	—	2	1	no	—
1172	C₂²×C₁₃	—	2	1	no	—
1173	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
1174	C₂×D₁₃	—	2	1	no	—
1175	C₂×D₁₃	—	2	1	no	—
1176	C₂×D₁₃	—	2	1	no	—
1177	C₂×D₁₃	—	2	1	no	—
1178	C₂×D₁₃	—	2	1	no	—
1179	C₂×D₁₃	—	2	1	no	—
1180	C₂×D₁₃	—	2	1	no	—
1181	C₂×D₁₃	—	2	1	no	—
1182	C₂×D₁₃	—	2	1	no	—
1183	C₂×D₁₃	—	2	1	no	—
1184	C₂×D₁₃	—	2	1	no	—
1185	C₂×D₁₃	—	2	1	no	—
1186	C₂×D₁₃	—	4	1	no	—
1187	C₂×D₁₃	—	4	1	no	—
1188	C₂×D₁₃	—	4	1	no	—
1189	C₂×D₁₃	—	4	1	no	—
1190	C₂×D₁₃	—	4	1	no	—
1191	C₂×D₁₃	—	4	1	no	—
1192	C₂×D₁₃	—	4	1	no	—
1193	C₂×D₁₃	—	4	1	no	—
1194	C₂×D₁₃	—	4	1	no	—
1195	C₂×D₁₃	—	4	1	no	—
1196	C₂×D₁₃	—	4	1	no	—
1197	C₂×D₁₃	—	4	1	no	—
1198	C₂×D₁₃	—	4	1	no	—
1199	C₂×D₁₃	—	4	1	no	—
1200	C₂×D₁₃	—	4	1	no	—
1201	C₂×D₁₃	—	4	1	no	—
1202	C₂×D₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1203	C₂×D₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1204	C₂×D₁₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1205	C₂×D₁₃	#585	1	1	yes	characteristic
1206	C₂×D₁₃	#585	1	1	yes	characteristic
1207	C₂×D₁₃	#585	1	1	yes	characteristic
1208	#261	—	2	2	no	—
1209	#261	—	2	2	no	—
1210	#261	—	2	2	no	—
1211	#261	—	4	1	no	—
1212	#261	—	4	1	no	—
1213	#261	—	4	1	no	—
1214	#261	—	4	1	no	—
1215	#261	—	4	1	no	—
1216	#261	—	4	1	no	—
1217	#261	—	4	1	no	—
1218	#261	—	4	1	no	—
1219	#261	—	4	1	no	—
1220	#261	—	4	1	no	—
1221	#261	—	4	1	no	—
1222	#261	—	4	1	no	—
1223	#261	—	4	1	no	—
1224	C₄×C₁₃	—	2	1	no	—
1225	C₄×C₁₃	—	2	1	no	—
1226	C₄×C₁₃	—	2	1	no	—
1227	C₄×C₁₃	—	2	1	no	—
1228	C₄×C₁₃	—	2	1	no	—
1229	C₄×C₁₃	—	2	1	no	—
1230	C₄×C₁₃	—	2	1	no	—
1231	C₄×C₁₃	—	2	1	no	—
1232	C₄×C₁₃	—	2	1	no	—
1233	C₄×C₁₃	—	2	1	no	—
1234	C₄×C₁₃	—	2	1	no	—
1235	Dic₁₃	—	2	1	no	—
1236	Dic₁₃	—	2	1	no	—
1237	Dic₁₃	—	2	1	no	—
1238	Dic₁₃	—	2	1	no	—
1239	Dic₁₃	—	2	1	no	—
1240	Dic₁₃	—	2	1	no	—
1241	Dic₁₃	—	2	1	no	—
1242	Dic₁₃	—	2	1	no	—
1243	Dic₁₃	—	2	1	no	—
1244	Dic₁₃	—	2	1	no	—
1245	Dic₁₃	—	2	1	no	—
1246	C₂²×Q₈	—	13	1	no	—
1247	C₂²×Q₈	—	13	1	no	—
1248	C₂²×D₄	—	13	1	no	—
1249	C₂²×D₄	—	13	1	no	—
1250	C₂²×D₄	—	13	1	no	—
1251	C₂²×D₄	—	13	1	no	—
1252	C₂²×D₄	—	13	1	no	—
1253	C₂²×D₄	—	13	1	no	—
1254	C₂³×C₄	—	13	1	no	—
1255	C₂³×C₄	—	13	1	no	—
1256	C₂³×C₄	—	13	1	no	—
1257	C₂³×C₄	—	13	1	no	—
1258	C₂³×C₄	—	13	1	no	—
1259	C₂³×C₄	—	13	1	no	—
1260	C₂³×C₄	—	13	1	no	—
1261	C₂³×C₄	—	13	1	no	—
1262	C₂³×C₄	—	13	1	no	—
1263	C₂³×C₄	—	13	1	no	—
1264	C₂³×C₄	—	13	1	no	—
1265	C₂³×C₄	—	13	1	no	—
1266	#125	—	13	1	no	—
1267	#125	—	13	1	no	—
1268	#125	—	13	1	no	—
1269	#125	—	13	1	no	—
1270	#125	—	13	1	no	—
1271	#125	—	13	1	no	—
1272	#125	—	13	1	no	—
1273	#125	C₂×#261	1	1	yes	characteristic, complemented
1274	#124	—	13	1	no	—
1275	#124	—	13	1	no	—
1276	#124	—	13	1	no	—
1277	#124	—	13	1	no	—
1278	#124	—	13	1	no	—
1279	#124	—	13	1	no	—
1280	#124	—	13	1	no	—
1281	#124	—	13	1	no	—
1282	#124	—	13	1	no	—
1283	#124	—	13	1	no	—
1284	#124	—	13	1	no	—
1285	#124	—	13	1	no	—
1286	#124	—	13	1	no	—
1287	#124	—	13	1	no	—
1288	#124	C₂×#261	1	1	yes	characteristic, complemented
1289	#124	C₂×#261	1	1	yes	characteristic, complemented
1290	#123	—	13	1	no	—
1291	#123	—	13	1	no	—
1292	#123	—	13	1	no	—
1293	#123	—	13	1	no	—
1294	#123	—	13	1	no	—
1295	#123	—	13	1	no	—
1296	#123	—	13	1	no	—
1297	#123	—	13	1	no	—
1298	#123	—	13	1	no	—
1299	#123	—	13	1	no	—
1300	#123	—	13	1	no	—
1301	#123	—	13	1	no	—
1302	#123	—	13	1	no	—
1303	#123	—	13	1	no	—
1304	#123	—	13	1	no	—
1305	#123	—	13	1	no	—
1306	#123	—	13	1	no	—
1307	#123	—	13	1	no	—
1308	#123	—	13	1	no	—
1309	#123	—	13	1	no	—
1310	#123	—	13	1	no	—
1311	#123	—	13	1	no	—
1312	#123	—	13	1	no	—
1313	#123	—	13	1	no	—
1314	#123	—	13	1	no	—
1315	#123	—	13	1	no	—
1316	#123	—	13	1	no	—
1317	#123	—	13	1	no	—
1318	#123	C₂×#261	1	1	yes	characteristic, complemented
1319	#123	C₂×#261	1	1	yes	characteristic, complemented
1320	#123	C₂×#261	1	1	yes	characteristic, complemented
1321	#123	C₂×#261	1	1	yes	characteristic, complemented
1322	C₂²⋊Q₈	—	13	1	no	—
1323	C₂²⋊Q₈	—	13	1	no	—
1324	C₂²⋊Q₈	—	13	1	no	—
1325	C₂²⋊Q₈	—	13	1	no	—
1326	C₂²⋊Q₈	—	13	1	no	—
1327	C₂²⋊Q₈	—	13	1	no	—
1328	C₂²⋊Q₈	—	13	1	no	—
1329	C₂²⋊Q₈	—	13	1	no	—
1330	C₂²⋊Q₈	—	13	1	no	—
1331	C₂²⋊Q₈	—	13	1	no	—
1332	C₂²⋊Q₈	—	13	1	no	—
1333	C₂²⋊Q₈	—	13	1	no	—
1334	C₂²⋊Q₈	—	13	1	no	—
1335	C₂²⋊Q₈	—	13	1	no	—
1336	C₂²⋊Q₈	—	13	1	no	—
1337	C₂²⋊Q₈	—	13	1	no	—
1338	C₂²⋊Q₈	—	13	1	no	—
1339	C₂²⋊Q₈	—	13	1	no	—
1340	C₂²⋊Q₈	—	13	1	no	—
1341	C₂²⋊Q₈	—	13	1	no	—
1342	C₂²⋊Q₈	—	13	1	no	—
1343	C₂²⋊Q₈	—	13	1	no	—
1344	C₂²⋊Q₈	—	13	1	no	—
1345	C₂²⋊Q₈	—	13	1	no	—
1346	C₂²⋊Q₈	—	13	1	no	—
1347	C₂²⋊Q₈	—	13	1	no	—
1348	C₂²⋊Q₈	—	13	1	no	—
1349	C₂²⋊Q₈	—	13	1	no	—
1350	C₂²⋊Q₈	C₂×#261	1	1	yes	characteristic, complemented
1351	C₂²⋊Q₈	C₂×#261	1	1	yes	characteristic, complemented
1352	C₂²⋊Q₈	C₂×#261	1	1	yes	characteristic, complemented
1353	C₂²⋊Q₈	C₂×#261	1	1	yes	characteristic, complemented
1354	#121	—	13	1	no	—
1355	#121	—	13	1	no	—
1356	#121	—	13	1	no	—
1357	#121	—	13	1	no	—
1358	#121	—	13	1	no	—
1359	#121	—	13	1	no	—
1360	#121	—	13	1	no	—
1361	#121	—	13	1	no	—
1362	#121	—	13	1	no	—
1363	#121	—	13	1	no	—
1364	#121	—	13	1	no	—
1365	#121	—	13	1	no	—
1366	#121	—	13	1	no	—
1367	#121	—	13	1	no	—
1368	#121	—	13	1	no	—
1369	#121	—	13	1	no	—
1370	#121	—	13	1	no	—
1371	#121	—	13	1	no	—
1372	#121	—	13	1	no	—
1373	#121	—	13	1	no	—
1374	#121	—	13	1	no	—
1375	#121	—	13	1	no	—
1376	#121	—	13	1	no	—
1377	#121	—	13	1	no	—
1378	#121	—	13	1	no	—
1379	#121	—	13	1	no	—
1380	#121	—	13	1	no	—
1381	#121	—	13	1	no	—
1382	#121	C₂×#261	1	1	yes	characteristic, complemented
1383	#121	C₂×#261	1	1	yes	characteristic, complemented
1384	#121	C₂×#261	1	1	yes	characteristic, complemented
1385	#121	C₂×#261	1	1	yes	characteristic, complemented
1386	C₄×Q₈	—	52	2	no	—
1387	C₄×Q₈	—	52	2	no	—
1388	C₄×D₄	—	52	2	no	—
1389	C₄×D₄	—	52	2	no	—
1390	C₄×D₄	—	52	2	no	—
1391	C₄×D₄	—	52	2	no	—
1392	C₄×D₄	—	52	2	no	—
1393	C₄×D₄	—	52	2	no	—
1394	#117	—	52	2	no	—
1395	#117	—	52	2	no	—
1396	C₂×C₄⋊C₄	—	13	1	no	—
1397	C₂×C₄⋊C₄	—	13	1	no	—
1398	C₂×C₄⋊C₄	—	13	1	no	—
1399	C₂×C₄⋊C₄	—	13	1	no	—
1400	C₂×C₄⋊C₄	—	13	1	no	—
1401	C₂×C₄⋊C₄	—	13	1	no	—
1402	C₂×C₄⋊C₄	—	13	1	no	—
1403	C₂×C₄⋊C₄	—	13	1	no	—
1404	C₂×C₄⋊C₄	—	13	1	no	—
1405	C₂×C₄⋊C₄	—	13	1	no	—
1406	C₂×C₄⋊C₄	—	13	1	no	—
1407	C₂×C₄⋊C₄	—	13	1	no	—
1408	C₂×C₄⋊C₄	—	13	1	no	—
1409	C₂×C₄⋊C₄	—	13	1	no	—
1410	C₂×C₄⋊C₄	—	13	1	no	—
1411	C₂×C₄⋊C₄	—	13	1	no	—
1412	C₂×C₄⋊C₄	—	13	1	no	—
1413	C₂×C₄⋊C₄	—	13	1	no	—
1414	C₂×C₄⋊C₄	—	13	1	no	—
1415	C₂×C₄⋊C₄	—	13	1	no	—
1416	C₂×C₄⋊C₄	—	13	1	no	—
1417	C₂×C₄⋊C₄	—	13	1	no	—
1418	C₂×C₄⋊C₄	—	13	1	no	—
1419	C₂×C₄⋊C₄	—	13	1	no	—
1420	C₂×C₄⋊C₄	—	13	1	no	—
1421	C₂×C₄⋊C₄	—	13	1	no	—
1422	C₂×C₄⋊C₄	—	13	1	no	—
1423	C₂×C₄⋊C₄	—	13	1	no	—
1424	C₂×C₄⋊C₄	—	13	1	no	—
1425	C₂×C₄⋊C₄	—	13	1	no	—
1426	C₂×C₄⋊C₄	—	13	1	no	—
1427	C₂×C₄⋊C₄	—	13	1	no	—
1428	C₂×C₄⋊C₄	—	52	2	no	—
1429	C₂×C₂²⋊C₄	—	13	1	no	—
1430	C₂×C₂²⋊C₄	—	13	1	no	—
1431	C₂×C₂²⋊C₄	—	13	1	no	—
1432	C₂×C₂²⋊C₄	—	13	1	no	—
1433	C₂×C₂²⋊C₄	—	13	1	no	—
1434	C₂×C₂²⋊C₄	—	13	1	no	—
1435	C₂×C₂²⋊C₄	—	13	1	no	—
1436	C₂×C₂²⋊C₄	—	13	1	no	—
1437	C₂×C₂²⋊C₄	—	13	1	no	—
1438	C₂×C₂²⋊C₄	—	13	1	no	—
1439	C₂×C₂²⋊C₄	—	13	1	no	—
1440	C₂×C₂²⋊C₄	—	13	1	no	—
1441	C₂×C₂²⋊C₄	—	13	1	no	—
1442	C₂×C₂²⋊C₄	—	13	1	no	—
1443	C₂×C₂²⋊C₄	—	13	1	no	—
1444	C₂×C₂²⋊C₄	—	13	1	no	—
1445	C₂×C₂²⋊C₄	—	13	1	no	—
1446	C₂×C₂²⋊C₄	—	13	1	no	—
1447	C₂×C₂²⋊C₄	—	13	1	no	—
1448	C₂×C₂²⋊C₄	—	13	1	no	—
1449	C₂×C₂²⋊C₄	—	13	1	no	—
1450	C₂×C₂²⋊C₄	—	13	1	no	—
1451	C₂×C₂²⋊C₄	—	13	1	no	—
1452	C₂×C₂²⋊C₄	—	13	1	no	—
1453	C₂×C₂²⋊C₄	—	13	1	no	—
1454	C₂×C₂²⋊C₄	—	13	1	no	—
1455	C₂×C₂²⋊C₄	—	13	1	no	—
1456	C₂×C₂²⋊C₄	—	13	1	no	—
1457	C₂×C₂²⋊C₄	—	13	1	no	—
1458	C₂×C₂²⋊C₄	—	13	1	no	—
1459	C₂×C₂²⋊C₄	—	13	1	no	—
1460	C₂×C₂²⋊C₄	—	13	1	no	—
1461	C₂×C₂²⋊C₄	—	13	1	no	—
1462	C₂×C₂²⋊C₄	—	13	1	no	—
1463	C₂×C₂²⋊C₄	—	13	1	no	—
1464	C₂×C₂²⋊C₄	—	13	1	no	—
1465	C₂×C₄²	—	13	1	no	—
1466	C₂×C₄²	—	13	1	no	—
1467	C₂×C₄²	—	13	1	no	—
1468	C₂×C₄²	—	13	1	no	—
1469	C₂×C₄²	—	13	1	no	—
1470	C₂×C₄²	—	13	1	no	—
1471	C₂×C₄²	—	13	1	no	—
1472	C₂×C₄²	—	13	1	no	—
1473	C₂×C₄²	—	13	1	no	—
1474	C₂×C₄²	—	13	1	no	—
1475	C₂×C₄²	—	13	1	no	—
1476	C₂×C₄²	—	13	1	no	—
1477	C₂×C₄²	—	13	1	no	—
1478	C₂×C₄²	—	13	1	no	—
1479	C₂×C₄²	—	13	1	no	—
1480	C₂×C₄²	—	13	1	no	—
1481	C₂×C₄²	—	13	1	no	—
1482	C₂×C₄²	—	13	1	no	—
1483	C₂×C₄²	—	13	1	no	—
1484	C₂×C₄²	—	13	1	no	—
1485	C₂×C₄²	—	13	1	no	—
1486	C₂×C₄²	—	13	1	no	—
1487	C₂×C₄²	—	13	1	no	—
1488	C₂×C₄²	—	52	2	no	—
1489	#95	—	13	1	no	—
1490	#95	—	13	1	no	—
1491	#95	—	13	1	no	—
1492	#95	—	13	1	no	—
1493	#95	—	13	1	no	—
1494	#95	—	13	1	no	—
1495	#95	—	13	1	no	—
1496	#95	—	13	1	no	—
1497	#95	—	13	1	no	—
1498	#95	—	13	1	no	—
1499	#95	—	13	1	no	—
1500	#95	—	13	1	no	—
1501	#95	—	13	1	no	—
1502	#95	—	13	1	no	—
1503	#95	—	13	1	no	—
1504	#95	—	13	1	no	—
1505	#95	—	13	1	no	—
1506	#95	—	13	1	no	—
1507	#95	—	13	1	no	—
1508	#95	—	13	1	no	—
1509	#95	—	13	1	no	—
1510	#95	—	13	1	no	—
1511	#95	—	13	1	no	—
1512	#95	—	13	1	no	—
1513	#95	—	13	1	no	—
1514	#95	—	13	1	no	—
1515	#95	—	13	1	no	—
1516	#95	—	13	1	no	—
1517	#95	—	13	1	no	—
1518	#95	—	13	1	no	—
1519	#95	—	13	1	no	—
1520	#95	—	13	1	no	—
1521	#95	—	13	1	no	—
1522	#95	—	13	1	no	—
1523	#95	—	13	1	no	—
1524	#95	—	13	1	no	—
1525	#95	—	13	1	no	—
1526	#95	—	13	1	no	—
1527	#95	—	13	1	no	—
1528	#95	—	13	1	no	—
1529	#95	—	13	1	no	—
1530	#95	—	13	1	no	—
1531	#95	—	13	1	no	—
1532	#95	—	13	1	no	—
1533	C₂×C₁₃	—	4	1	no	—
1534	C₂×C₁₃	—	4	1	no	—
1535	C₂×C₁₃	—	4	1	no	—
1536	C₂×C₁₃	—	4	1	no	—
1537	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1538	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1539	C₂×C₁₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1540	D₁₃	—	4	1	no	—
1541	D₁₃	—	4	1	no	—
1542	D₁₃	—	4	1	no	—
1543	D₁₃	—	4	1	no	—
1544	D₁₃	#3535	1	1	yes	characteristic
1545	D₁₃	#3542	1	1	yes	characteristic
1546	D₁₃	#3547	1	1	yes	characteristic
1547	D₁₃	#3566	1	1	yes	characteristic
1548	C₂⁴	—	13	1	no	—
1549	C₂⁴	—	13	1	no	—
1550	C₂⁴	—	13	1	no	—
1551	C₂⁴	—	13	1	no	—
1552	C₂×Q₈	—	13	1	no	—
1553	C₂×Q₈	—	13	1	no	—
1554	C₂×Q₈	—	13	1	no	—
1555	C₂×Q₈	—	13	1	no	—
1556	C₂×Q₈	—	13	1	no	—
1557	C₂×Q₈	—	13	1	no	—
1558	C₂×Q₈	—	52	1	no	—
1559	C₂×Q₈	—	52	1	no	—
1560	C₂×Q₈	—	52	1	no	—
1561	C₂×Q₈	—	52	1	no	—
1562	C₂×Q₈	C₂²×#261	1	1	yes	characteristic
1563	C₂×Q₈	C₂²×#261	1	1	yes	characteristic
1564	C₂×D₄	—	13	1	no	—
1565	C₂×D₄	—	13	1	no	—
1566	C₂×D₄	—	13	1	no	—
1567	C₂×D₄	—	13	1	no	—
1568	C₂×D₄	—	13	1	no	—
1569	C₂×D₄	—	13	1	no	—
1570	C₂×D₄	—	13	1	no	—
1571	C₂×D₄	—	13	1	no	—
1572	C₂×D₄	—	13	1	no	—
1573	C₂×D₄	—	13	1	no	—
1574	C₂×D₄	—	13	1	no	—
1575	C₂×D₄	—	13	1	no	—
1576	C₂×D₄	—	13	1	no	—
1577	C₂×D₄	—	13	1	no	—
1578	C₂×D₄	—	13	1	no	—
1579	C₂×D₄	—	13	1	no	—
1580	C₂×D₄	—	13	1	no	—
1581	C₂×D₄	—	13	1	no	—
1582	C₂×D₄	—	52	1	no	—
1583	C₂×D₄	—	52	1	no	—
1584	C₂×D₄	—	52	1	no	—
1585	C₂×D₄	—	52	1	no	—
1586	C₂×D₄	—	52	1	no	—
1587	C₂×D₄	—	52	1	no	—
1588	C₂×D₄	—	52	1	no	—
1589	C₂×D₄	—	52	1	no	—
1590	C₂×D₄	—	52	1	no	—
1591	C₂×D₄	—	52	1	no	—
1592	C₂×D₄	—	52	1	no	—
1593	C₂×D₄	—	52	1	no	—
1594	C₂×D₄	C₂²×#261	1	1	yes	characteristic
1595	C₂×D₄	C₂²×#261	1	1	yes	characteristic
1596	C₂×D₄	C₂²×#261	1	1	yes	characteristic
1597	C₂×D₄	C₂²×#261	1	1	yes	characteristic
1598	C₂×D₄	C₂²×#261	1	1	yes	characteristic
1599	C₂×D₄	C₂²×#261	1	1	yes	characteristic
1600	C₂²×C₄	—	13	1	no	—
1601	C₂²×C₄	—	13	1	no	—
1602	C₂²×C₄	—	13	1	no	—
1603	C₂²×C₄	—	13	1	no	—
1604	C₂²×C₄	—	13	1	no	—
1605	C₂²×C₄	—	13	1	no	—
1606	C₂²×C₄	—	13	1	no	—
1607	C₂²×C₄	—	13	1	no	—
1608	C₂²×C₄	—	13	1	no	—
1609	C₂²×C₄	—	13	1	no	—
1610	C₂²×C₄	—	13	1	no	—
1611	C₂²×C₄	—	13	1	no	—
1612	C₂²×C₄	—	13	1	no	—
1613	C₂²×C₄	—	13	1	no	—
1614	C₂²×C₄	—	13	1	no	—
1615	C₂²×C₄	—	13	1	no	—
1616	C₂²×C₄	—	13	1	no	—
1617	C₂²×C₄	—	13	1	no	—
1618	C₂²×C₄	—	13	1	no	—
1619	C₂²×C₄	—	13	1	no	—
1620	C₂²×C₄	—	13	1	no	—
1621	C₂²×C₄	—	13	1	no	—
1622	C₂²×C₄	—	13	1	no	—
1623	C₂²×C₄	—	13	1	no	—
1624	C₂²×C₄	—	13	1	no	—
1625	C₂²×C₄	—	13	1	no	—
1626	C₂²×C₄	—	13	1	no	—
1627	C₂²×C₄	—	13	1	no	—
1628	C₂²×C₄	—	13	1	no	—
1629	C₂²×C₄	—	13	1	no	—
1630	C₂²×C₄	—	13	1	no	—
1631	C₂²×C₄	—	13	1	no	—
1632	C₂²×C₄	—	13	1	no	—
1633	C₂²×C₄	—	13	1	no	—
1634	C₂²×C₄	—	13	1	no	—
1635	C₂²×C₄	—	13	1	no	—
1636	C₂²×C₄	—	13	1	no	—
1637	C₂²×C₄	—	13	1	no	—
1638	C₂²×C₄	—	13	1	no	—
1639	C₂²×C₄	—	26	2	no	—
1640	C₂²×C₄	—	26	2	no	—
1641	C₂²×C₄	—	26	2	no	—
1642	C₂²×C₄	—	26	2	no	—
1643	C₂²×C₄	—	26	2	no	—
1644	C₂²×C₄	—	26	2	no	—
1645	C₂²×C₄	—	52	1	no	—
1646	C₂²×C₄	—	52	1	no	—
1647	C₂²×C₄	—	52	1	no	—
1648	C₂²×C₄	—	52	1	no	—
1649	C₂²×C₄	—	52	1	no	—
1650	C₂²×C₄	—	52	1	no	—
1651	C₂²×C₄	—	52	1	no	—
1652	C₂²×C₄	—	52	1	no	—
1653	C₂²×C₄	—	52	1	no	—
1654	C₂²×C₄	—	52	1	no	—
1655	C₂²×C₄	—	52	1	no	—
1656	C₂²×C₄	—	52	1	no	—
1657	C₂²×C₄	—	52	1	no	—
1658	C₂²×C₄	—	52	1	no	—
1659	C₂²×C₄	—	52	1	no	—
1660	C₂²×C₄	—	52	1	no	—
1661	C₂²×C₄	—	52	1	no	—
1662	C₂²×C₄	—	52	1	no	—
1663	C₂²×C₄	—	52	1	no	—
1664	C₂²×C₄	—	52	1	no	—
1665	C₂²×C₄	—	52	1	no	—
1666	C₂²×C₄	—	52	1	no	—
1667	C₂²×C₄	—	52	1	no	—
1668	C₂²×C₄	—	52	1	no	—
1669	C₂²×C₄	—	52	1	no	—
1670	C₂²×C₄	—	52	1	no	—
1671	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1672	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1673	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1674	C₂²×C₄	C₂²×#261	1	1	yes	characteristic
1675	C₄⋊C₄	—	13	1	no	—
1676	C₄⋊C₄	—	13	1	no	—
1677	C₄⋊C₄	—	13	1	no	—
1678	C₄⋊C₄	—	13	1	no	—
1679	C₄⋊C₄	—	13	1	no	—
1680	C₄⋊C₄	—	13	1	no	—
1681	C₄⋊C₄	—	13	1	no	—
1682	C₄⋊C₄	—	13	1	no	—
1683	C₄⋊C₄	—	13	1	no	—
1684	C₄⋊C₄	—	13	1	no	—
1685	C₄⋊C₄	—	13	1	no	—
1686	C₄⋊C₄	—	13	1	no	—
1687	C₄⋊C₄	—	13	1	no	—
1688	C₄⋊C₄	—	13	1	no	—
1689	C₄⋊C₄	—	13	1	no	—
1690	C₄⋊C₄	—	13	1	no	—
1691	C₄⋊C₄	—	13	1	no	—
1692	C₄⋊C₄	—	13	1	no	—
1693	C₄⋊C₄	—	13	1	no	—
1694	C₄⋊C₄	—	13	1	no	—
1695	C₄⋊C₄	—	13	1	no	—
1696	C₄⋊C₄	—	13	1	no	—
1697	C₄⋊C₄	—	13	1	no	—
1698	C₄⋊C₄	—	13	1	no	—
1699	C₄⋊C₄	—	13	1	no	—
1700	C₄⋊C₄	—	13	1	no	—
1701	C₄⋊C₄	—	13	1	no	—
1702	C₄⋊C₄	—	13	1	no	—
1703	C₄⋊C₄	—	13	1	no	—
1704	C₄⋊C₄	—	13	1	no	—
1705	C₄⋊C₄	—	26	2	no	—
1706	C₄⋊C₄	—	26	2	no	—
1707	C₄⋊C₄	—	26	2	no	—
1708	C₄⋊C₄	—	26	2	no	—
1709	C₄⋊C₄	—	52	1	no	—
1710	C₄⋊C₄	—	52	1	no	—
1711	C₄⋊C₄	—	52	1	no	—
1712	C₄⋊C₄	—	52	1	no	—
1713	C₄⋊C₄	—	52	1	no	—
1714	C₄⋊C₄	—	52	1	no	—
1715	C₄⋊C₄	—	52	1	no	—
1716	C₄⋊C₄	—	52	1	no	—
1717	C₄⋊C₄	—	52	1	no	—
1718	C₄⋊C₄	—	52	1	no	—
1719	C₄⋊C₄	—	52	1	no	—
1720	C₄⋊C₄	—	52	1	no	—
1721	C₄⋊C₄	—	52	1	no	—
1722	C₄⋊C₄	—	52	1	no	—
1723	C₄⋊C₄	—	52	1	no	—
1724	C₄⋊C₄	—	52	1	no	—
1725	C₄⋊C₄	—	52	1	no	—
1726	C₄⋊C₄	—	52	1	no	—
1727	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1728	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1729	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1730	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1731	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1732	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1733	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1734	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1735	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1736	C₄⋊C₄	C₂²×#261	1	1	yes	characteristic
1737	C₂²⋊C₄	—	13	1	no	—
1738	C₂²⋊C₄	—	13	1	no	—
1739	C₂²⋊C₄	—	13	1	no	—
1740	C₂²⋊C₄	—	13	1	no	—
1741	C₂²⋊C₄	—	13	1	no	—
1742	C₂²⋊C₄	—	13	1	no	—
1743	C₂²⋊C₄	—	13	1	no	—
1744	C₂²⋊C₄	—	13	1	no	—
1745	C₂²⋊C₄	—	13	1	no	—
1746	C₂²⋊C₄	—	13	1	no	—
1747	C₂²⋊C₄	—	13	1	no	—
1748	C₂²⋊C₄	—	13	1	no	—
1749	C₂²⋊C₄	—	13	1	no	—
1750	C₂²⋊C₄	—	13	1	no	—
1751	C₂²⋊C₄	—	13	1	no	—
1752	C₂²⋊C₄	—	13	1	no	—
1753	C₂²⋊C₄	—	13	1	no	—
1754	C₂²⋊C₄	—	13	1	no	—
1755	C₂²⋊C₄	—	13	1	no	—
1756	C₂²⋊C₄	—	13	1	no	—
1757	C₂²⋊C₄	—	13	1	no	—
1758	C₂²⋊C₄	—	13	1	no	—
1759	C₂²⋊C₄	—	13	1	no	—
1760	C₂²⋊C₄	—	13	1	no	—
1761	C₂²⋊C₄	—	13	1	no	—
1762	C₂²⋊C₄	—	13	1	no	—
1763	C₂²⋊C₄	—	13	1	no	—
1764	C₂²⋊C₄	—	13	1	no	—
1765	C₂²⋊C₄	—	13	1	no	—
1766	C₂²⋊C₄	—	13	1	no	—
1767	C₂²⋊C₄	—	13	1	no	—
1768	C₂²⋊C₄	—	13	1	no	—
1769	C₂²⋊C₄	—	13	1	no	—
1770	C₂²⋊C₄	—	13	1	no	—
1771	C₂²⋊C₄	—	13	1	no	—
1772	C₂²⋊C₄	—	13	1	no	—
1773	C₂²⋊C₄	—	26	2	no	—
1774	C₂²⋊C₄	—	26	2	no	—
1775	C₂²⋊C₄	—	26	2	no	—
1776	C₂²⋊C₄	—	26	2	no	—
1777	C₂²⋊C₄	—	26	2	no	—
1778	C₂²⋊C₄	—	26	2	no	—
1779	C₂²⋊C₄	—	52	1	no	—
1780	C₂²⋊C₄	—	52	1	no	—
1781	C₂²⋊C₄	—	52	1	no	—
1782	C₂²⋊C₄	—	52	1	no	—
1783	C₂²⋊C₄	—	52	1	no	—
1784	C₂²⋊C₄	—	52	1	no	—
1785	C₂²⋊C₄	—	52	1	no	—
1786	C₂²⋊C₄	—	52	1	no	—
1787	C₂²⋊C₄	—	52	1	no	—
1788	C₂²⋊C₄	—	52	1	no	—
1789	C₂²⋊C₄	—	52	1	no	—
1790	C₂²⋊C₄	—	52	1	no	—
1791	C₂²⋊C₄	—	52	1	no	—
1792	C₂²⋊C₄	—	52	1	no	—
1793	C₂²⋊C₄	—	52	1	no	—
1794	C₂²⋊C₄	—	52	1	no	—
1795	C₂²⋊C₄	—	52	1	no	—
1796	C₂²⋊C₄	—	52	1	no	—
1797	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1798	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1799	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1800	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1801	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1802	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1803	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1804	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1805	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1806	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1807	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1808	C₂²⋊C₄	C₂²×#261	1	1	yes	characteristic
1809	C₄²	—	13	1	no	—
1810	C₄²	—	13	1	no	—
1811	C₄²	—	13	1	no	—
1812	C₄²	—	26	2	no	—
1813	C₄²	—	26	2	no	—
1814	C₄²	—	26	2	no	—
1815	C₄²	—	26	2	no	—
1816	C₄²	—	26	2	no	—
1817	C₄²	—	26	2	no	—
1818	C₄²	—	26	2	no	—
1819	C₄²	—	52	1	no	—
1820	C₄²	—	52	1	no	—
1821	C₄²	—	52	1	no	—
1822	C₄²	—	52	1	no	—
1823	C₄²	—	52	1	no	—
1824	C₄²	—	52	1	no	—
1825	C₄²	—	52	1	no	—
1826	C₄²	—	52	1	no	—
1827	C₄²	—	52	1	no	—
1828	C₄²	—	52	1	no	—
1829	C₄²	—	52	1	no	—
1830	C₄²	—	52	1	no	—
1831	C₄²	—	52	1	no	—
1832	C₄²	—	52	1	no	—
1833	C₄²	—	52	1	no	—
1834	C₄²	C₂²×#261	1	1	yes	characteristic
1835	C₁₃	#34519	1	1	yes	characteristic, complemented, Sylow
1836	C₂³	—	13	1	no	—
1837	C₂³	—	13	1	no	—
1838	C₂³	—	13	1	no	—
1839	C₂³	—	13	1	no	—
1840	C₂³	—	13	1	no	—
1841	C₂³	—	26	1	no	—
1842	C₂³	—	26	1	no	—
1843	C₂³	—	26	1	no	—
1844	C₂³	—	26	1	no	—
1845	C₂³	—	26	1	no	—
1846	C₂³	—	26	1	no	—
1847	C₂³	—	26	1	no	—
1848	C₂³	—	26	1	no	—
1849	C₂³	—	26	1	no	—
1850	C₂³	—	26	1	no	—
1851	C₂³	—	26	1	no	—
1852	C₂³	—	26	1	no	—
1853	C₂³	—	26	1	no	—
1854	C₂³	—	26	1	no	—
1855	C₂³	—	26	1	no	—
1856	C₂³	—	26	1	no	—
1857	C₂³	—	26	1	no	—
1858	C₂³	—	26	1	no	—
1859	C₂³	—	26	1	no	—
1860	C₂³	—	26	1	no	—
1861	C₂³	—	26	1	no	—
1862	C₂³	—	26	1	no	—
1863	C₂³	—	26	1	no	—
1864	C₂³	—	26	1	no	—
1865	C₂³	C₂³×#261	1	1	yes	characteristic
1866	C₂³	C₂³×#261	1	1	yes	characteristic
1867	C₂³	C₂³×#261	1	1	yes	characteristic
1868	C₂³	C₂³×#261	1	1	yes	characteristic
1869	Q₈	—	4	1	no	—
1870	Q₈	—	4	1	no	—
1871	Q₈	—	52	1	no	—
1872	Q₈	—	52	1	no	—
1873	Q₈	—	52	1	no	—
1874	Q₈	—	52	1	no	—
1875	Q₈	—	52	1	no	—
1876	Q₈	—	52	1	no	—
1877	D₄	—	4	1	no	—
1878	D₄	—	4	1	no	—
1879	D₄	—	4	1	no	—
1880	D₄	—	4	1	no	—
1881	D₄	—	4	1	no	—
1882	D₄	—	4	1	no	—
1883	D₄	—	52	1	no	—
1884	D₄	—	52	1	no	—
1885	D₄	—	52	1	no	—
1886	D₄	—	52	1	no	—
1887	D₄	—	52	1	no	—
1888	D₄	—	52	1	no	—
1889	D₄	—	52	1	no	—
1890	D₄	—	52	1	no	—
1891	D₄	—	52	1	no	—
1892	D₄	—	52	1	no	—
1893	D₄	—	52	1	no	—
1894	D₄	—	52	1	no	—
1895	D₄	—	52	1	no	—
1896	D₄	—	52	1	no	—
1897	D₄	—	52	1	no	—
1898	D₄	—	52	1	no	—
1899	D₄	—	52	1	no	—
1900	D₄	—	52	1	no	—
1901	C₂×C₄	—	4	1	no	—
1902	C₂×C₄	—	4	1	no	—
1903	C₂×C₄	—	4	1	no	—
1904	C₂×C₄	—	4	1	no	—
1905	C₂×C₄	—	13	2	no	—
1906	C₂×C₄	—	13	2	no	—
1907	C₂×C₄	—	13	2	no	—
1908	C₂×C₄	—	13	1	no	—
1909	C₂×C₄	—	13	1	no	—
1910	C₂×C₄	—	13	1	no	—
1911	C₂×C₄	—	13	1	no	—
1912	C₂×C₄	—	13	1	no	—
1913	C₂×C₄	—	13	1	no	—
1914	C₂×C₄	—	13	1	no	—
1915	C₂×C₄	—	13	1	no	—
1916	C₂×C₄	—	13	1	no	—
1917	C₂×C₄	—	13	1	no	—
1918	C₂×C₄	—	13	1	no	—
1919	C₂×C₄	—	26	1	no	—
1920	C₂×C₄	—	26	1	no	—
1921	C₂×C₄	—	26	1	no	—
1922	C₂×C₄	—	26	1	no	—
1923	C₂×C₄	—	26	1	no	—
1924	C₂×C₄	—	26	1	no	—
1925	C₂×C₄	—	26	1	no	—
1926	C₂×C₄	—	26	1	no	—
1927	C₂×C₄	—	26	1	no	—
1928	C₂×C₄	—	26	1	no	—
1929	C₂×C₄	—	26	1	no	—
1930	C₂×C₄	—	26	1	no	—
1931	C₂×C₄	—	26	1	no	—
1932	C₂×C₄	—	26	1	no	—
1933	C₂×C₄	—	26	1	no	—
1934	C₂×C₄	—	26	1	no	—
1935	C₂×C₄	—	26	1	no	—
1936	C₂×C₄	—	26	1	no	—
1937	C₂×C₄	—	26	1	no	—
1938	C₂×C₄	—	26	1	no	—
1939	C₂×C₄	—	26	1	no	—
1940	C₂×C₄	—	26	1	no	—
1941	C₂×C₄	—	26	1	no	—
1942	C₂×C₄	—	26	1	no	—
1943	C₂×C₄	—	26	1	no	—
1944	C₂×C₄	—	26	1	no	—
1945	C₂×C₄	—	26	1	no	—
1946	C₂×C₄	—	26	1	no	—
1947	C₂×C₄	—	26	1	no	—
1948	C₂×C₄	—	26	1	no	—
1949	C₂×C₄	—	26	1	no	—
1950	C₂×C₄	—	26	1	no	—
1951	C₂×C₄	—	26	1	no	—
1952	C₂×C₄	—	26	1	no	—
1953	C₂×C₄	—	26	1	no	—
1954	C₂×C₄	—	26	1	no	—
1955	C₂×C₄	—	26	1	no	—
1956	C₂×C₄	—	26	1	no	—
1957	C₂×C₄	—	26	1	no	—
1958	C₂×C₄	—	26	1	no	—
1959	C₂×C₄	—	26	1	no	—
1960	C₂×C₄	—	26	1	no	—
1961	C₂×C₄	—	26	1	no	—
1962	C₂×C₄	—	26	1	no	—
1963	C₂×C₄	—	26	1	no	—
1964	C₂×C₄	—	26	1	no	—
1965	C₂×C₄	—	26	1	no	—
1966	C₂×C₄	—	26	1	no	—
1967	C₂×C₄	—	26	1	no	—
1968	C₂×C₄	—	26	1	no	—
1969	C₂×C₄	—	26	1	no	—
1970	C₂×C₄	—	26	1	no	—
1971	C₂×C₄	—	26	1	no	—
1972	C₂×C₄	—	26	1	no	—
1973	C₂×C₄	—	26	1	no	—
1974	C₂×C₄	—	26	1	no	—
1975	C₂×C₄	—	26	1	no	—
1976	C₂×C₄	—	26	1	no	—
1977	C₂×C₄	—	26	1	no	—
1978	C₂×C₄	—	26	1	no	—
1979	C₂×C₄	—	26	1	no	—
1980	C₂×C₄	—	26	1	no	—
1981	C₂×C₄	—	26	1	no	—
1982	C₂×C₄	—	26	1	no	—
1983	C₂×C₄	—	26	1	no	—
1984	C₂×C₄	—	26	1	no	—
1985	C₂×C₄	—	26	1	no	—
1986	C₂×C₄	—	52	1	no	—
1987	C₂×C₄	—	52	1	no	—
1988	C₂×C₄	—	52	1	no	—
1989	C₂×C₄	—	52	1	no	—
1990	C₂×C₄	—	52	1	no	—
1991	C₂×C₄	—	52	1	no	—
1992	C₂×C₄	—	52	1	no	—
1993	C₂×C₄	—	52	1	no	—
1994	C₂×C₄	—	52	1	no	—
1995	C₂×C₄	—	52	1	no	—
1996	C₂×C₄	—	52	1	no	—
1997	C₂×C₄	—	52	1	no	—
1998	C₂×C₄	—	52	4	no	—
1999	C₂×C₄	—	52	4	no	—
2000	C₂×C₄	—	104	2	no	—
2001	C₂×C₄	—	104	2	no	—
2002	C₂×C₄	—	104	2	no	—
2003	C₂×C₄	—	104	2	no	—
2004	C₂×C₄	—	104	2	no	—
2005	C₂×C₄	—	104	2	no	—
2006	C₂×C₄	C₂³×#261	1	1	yes	characteristic
2007	C₂×C₄	C₂³×#261	1	1	yes	characteristic
2008	C₂×C₄	C₂³×#261	1	1	yes	characteristic
2009	C₂×C₄	C₂³×#261	1	1	yes	characteristic
2010	C₂×C₄	C₂³×#261	1	1	yes	characteristic
2011	C₂×C₄	C₂³×#261	1	1	yes	characteristic
2012	C₂×C₄	C₂³×#261	1	1	yes	characteristic
2013	C₂×C₄	C₂³×#261	1	1	yes	characteristic
2014	C₂×C₄	C₂³×#261	1	1	yes	characteristic
2015	C₂×C₄	C₂³×#261	1	1	yes	characteristic
2016	C₂×C₄	C₂³×#261	1	1	yes	characteristic
2017	C₂²	—	2	1	no	—
2018	C₂²	—	2	1	no	—
2019	C₂²	—	2	1	no	—
2020	C₂²	—	2	1	no	—
2021	C₂²	—	2	1	no	—
2022	C₂²	—	2	1	no	—
2023	C₂²	—	2	1	no	—
2024	C₂²	—	2	1	no	—
2025	C₂²	—	2	1	no	—
2026	C₂²	—	2	1	no	—
2027	C₂²	—	2	1	no	—
2028	C₂²	—	2	1	no	—
2029	C₂²	—	13	1	no	—
2030	C₂²	—	13	1	no	—
2031	C₂²	—	13	1	no	—
2032	C₂²	—	13	1	no	—
2033	C₂²	—	13	1	no	—
2034	C₂²	—	13	1	no	—
2035	C₂²	—	26	1	no	—
2036	C₂²	—	26	1	no	—
2037	C₂²	—	26	1	no	—
2038	C₂²	—	26	1	no	—
2039	C₂²	—	26	1	no	—
2040	C₂²	—	26	1	no	—
2041	C₂²	—	26	1	no	—
2042	C₂²	—	26	1	no	—
2043	C₂²	—	26	1	no	—
2044	C₂²	—	26	1	no	—
2045	C₂²	—	26	1	no	—
2046	C₂²	—	26	1	no	—
2047	C₂²	—	52	1	no	—
2048	C₂²	—	52	1	no	—
2049	C₂²	—	52	1	no	—
2050	C₂²	—	52	1	no	—
2051	C₂²	—	52	1	no	—
2052	C₂²	—	52	1	no	—
2053	C₂²	—	52	1	no	—
2054	C₂²	—	52	1	no	—
2055	C₂²	—	52	1	no	—
2056	C₂²	—	52	1	no	—
2057	C₂²	—	52	1	no	—
2058	C₂²	—	52	1	no	—
2059	C₂²	—	52	1	no	—
2060	C₂²	—	52	1	no	—
2061	C₂²	—	52	1	no	—
2062	C₂²	—	52	1	no	—
2063	C₂²	C₂⁴×#261	1	1	yes	characteristic
2064	C₄	—	2	1	no	—
2065	C₄	—	2	1	no	—
2066	C₄	—	2	1	no	—
2067	C₄	—	2	1	no	—
2068	C₄	—	2	1	no	—
2069	C₄	—	2	1	no	—
2070	C₄	—	2	1	no	—
2071	C₄	—	2	1	no	—
2072	C₄	—	2	1	no	—
2073	C₄	—	2	1	no	—
2074	C₄	—	2	1	no	—
2075	C₄	—	26	2	no	—
2076	C₄	—	26	2	no	—
2077	C₄	—	26	2	no	—
2078	C₄	—	26	1	no	—
2079	C₄	—	26	1	no	—
2080	C₄	—	26	1	no	—
2081	C₄	—	26	1	no	—
2082	C₄	—	26	1	no	—
2083	C₄	—	26	1	no	—
2084	C₄	—	26	1	no	—
2085	C₄	—	26	1	no	—
2086	C₄	—	26	1	no	—
2087	C₄	—	26	1	no	—
2088	C₄	—	26	1	no	—
2089	C₄	—	52	1	no	—
2090	C₄	—	52	1	no	—
2091	C₄	—	52	1	no	—
2092	C₄	—	52	1	no	—
2093	C₄	—	52	1	no	—
2094	C₄	—	52	1	no	—
2095	C₄	—	52	1	no	—
2096	C₄	—	52	1	no	—
2097	C₄	—	52	1	no	—
2098	C₄	—	52	1	no	—
2099	C₄	—	52	1	no	—
2100	C₄	—	52	1	no	—
2101	C₄	—	52	1	no	—
2102	C₂	—	4	1	no	—
2103	C₂	—	4	1	no	—
2104	C₂	—	4	1	no	—
2105	C₂	—	4	1	no	—
2106	C₂	—	13	1	no	—
2107	C₂	—	13	1	no	—
2108	C₂	—	13	1	no	—
2109	C₂	—	13	1	no	—
2110	C₂	—	52	1	no	—
2111	C₂	—	52	1	no	—
2112	C₂	—	52	1	no	—
2113	C₂	—	52	1	no	—
2114	C₂	H(5,𝔽₂)×#261	1	1	yes	characteristic
2115	C₂	H(5,𝔽₂)×#261	1	1	yes	characteristic
2116	C₂	2₋¹⁺⁴×#261	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁴×#261
commutator, socle	C₂²×C₁₃	C₂⁴×C₄
Fitting	C₁₃×#562	C₄
prime radical	D₁₃×#562	C₂
cosocle	C₂²×D₁₃	C₂⁵
hypercenter	#562	#261
hypocenter	C₁₃	#34519
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂² ◁ #562

Complements

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

N	H ≅ G/N	type
1. #13131378	C₂	semidirect
2. #13131377	C₂	semidirect
3. #13131376	C₂	semidirect
4. #13131374	C₂	semidirect
5. #13131372	C₂	semidirect
6. #13131372	C₂	semidirect
7. #13131371	C₂	semidirect
8. #13131368	C₂	semidirect
9. #13131364	C₂	semidirect
10. #13131363	C₂	semidirect
11. #13131362	C₂	semidirect
12. #13131361	C₂	semidirect
13. #13131360	C₂	semidirect
14. #13131359	C₂	semidirect
15. #13131359	C₂	semidirect
16. #13131335	C₂	semidirect
17. #13131335	C₂	semidirect
18. #13131333	C₂	semidirect
19. #13131332	C₂	semidirect
20. #13131330	C₂	semidirect
21. #13131329	C₂	semidirect
22. #13131326	C₂	semidirect
23. #13131326	C₂	semidirect
24. #13131325	C₂	semidirect
25. #13131324	C₂	semidirect
26. #13131323	C₂	semidirect
27. #13131322	C₂	semidirect
28. C₂²⋊Q₈×#261	C₂	semidirect
29. #123×#261	C₂	semidirect
30. #121×#261	C₂	semidirect
44. C₁₃×#562	C₄	semidirect
45. #11719405	C₄	semidirect
47. #11719389	C₄	semidirect
48. #11719389	C₄	semidirect
51. #11719372	C₄	semidirect
52. #11719372	C₄	semidirect
53. #11719372	C₄	semidirect
54. #11719372	C₄	semidirect
59. #11719352	C₄	semidirect
60. #11719352	C₄	semidirect
61. #11719352	C₄	semidirect
62. #11719352	C₄	semidirect
67. #11719326	C₄	semidirect
68. #11719326	C₄	semidirect
69. #11719326	C₄	semidirect
70. #11719326	C₄	semidirect
303. C₁₃×#125	C₂×C₄	semidirect
304. C₁₃×#124	C₂×C₄	semidirect
305. C₁₃×#124	C₂×C₄	semidirect
306. C₁₃×#123	C₂×C₄	semidirect
307. C₁₃×#123	C₂×C₄	semidirect
308. C₁₃×#123	C₂×C₄	semidirect
309. C₁₃×#123	C₂×C₄	semidirect
310. C₁₃×C₂²⋊Q₈	C₂×C₄	semidirect
311. C₁₃×C₂²⋊Q₈	C₂×C₄	semidirect
312. C₁₃×C₂²⋊Q₈	C₂×C₄	semidirect
313. C₁₃×C₂²⋊Q₈	C₂×C₄	semidirect
314. C₁₃×#121	C₂×C₄	semidirect
315. C₁₃×#121	C₂×C₄	semidirect
316. C₁₃×#121	C₂×C₄	semidirect
317. C₁₃×#121	C₂×C₄	semidirect
318. #88201	C₂×C₄	semidirect
319. #88201	C₂×C₄	semidirect
320. #88200	C₂×C₄	semidirect
321. #88200	C₂×C₄	semidirect
322. #88200	C₂×C₄	semidirect
323. #88200	C₂×C₄	semidirect
324. #88193	C₂×C₄	semidirect
325. #88193	C₂×C₄	semidirect
326. #88193	C₂×C₄	semidirect
327. #88193	C₂×C₄	semidirect
328. #88193	C₂×C₄	semidirect
329. #88193	C₂×C₄	semidirect
330. #88193	C₂×C₄	semidirect
331. #88193	C₂×C₄	semidirect
332. #88192	C₂×C₄	semidirect
333. #88192	C₂×C₄	semidirect
334. #88192	C₂×C₄	semidirect
335. #88192	C₂×C₄	semidirect
336. #88190	C₂×C₄	semidirect
337. #88190	C₂×C₄	semidirect
338. #88189	C₂×C₄	semidirect
339. #88189	C₂×C₄	semidirect
340. #88189	C₂×C₄	semidirect
341. #88189	C₂×C₄	semidirect
342. #88184	C₂×C₄	semidirect
343. #88184	C₂×C₄	semidirect
344. #88184	C₂×C₄	semidirect
345. #88184	C₂×C₄	semidirect
346. #88183	C₂×C₄	semidirect
347. #88183	C₂×C₄	semidirect
348. #88183	C₂×C₄	semidirect
349. #88183	C₂×C₄	semidirect
350. #88178	C₂×C₄	semidirect
351. #88178	C₂×C₄	semidirect
352. #88178	C₂×C₄	semidirect
353. #88178	C₂×C₄	semidirect
354. #88151	C₂×C₄	semidirect
355. #88151	C₂×C₄	semidirect
356. #88151	C₂×C₄	semidirect
357. #88151	C₂×C₄	semidirect
358. #88150	C₂×C₄	semidirect
359. #88150	C₂×C₄	semidirect
360. #88150	C₂×C₄	semidirect
361. #88150	C₂×C₄	semidirect
362. #88150	C₂×C₄	semidirect
363. #88150	C₂×C₄	semidirect
364. #88150	C₂×C₄	semidirect
365. #88150	C₂×C₄	semidirect
366. #88149	C₂×C₄	semidirect
367. #88149	C₂×C₄	semidirect
368. #88149	C₂×C₄	semidirect
369. #88149	C₂×C₄	semidirect
370. #88148	C₂×C₄	semidirect
371. #88148	C₂×C₄	semidirect
372. #88148	C₂×C₄	semidirect
373. #88148	C₂×C₄	semidirect
374. #88148	C₂×C₄	semidirect
375. #88148	C₂×C₄	semidirect
376. #88148	C₂×C₄	semidirect
377. #88148	C₂×C₄	semidirect
388. #88144	C₂×C₄	semidirect
389. #88144	C₂×C₄	semidirect
390. #88143	C₂×C₄	semidirect
391. #88143	C₂×C₄	semidirect
392. #88143	C₂×C₄	semidirect
393. #88143	C₂×C₄	semidirect
394. #88140	C₂×C₄	semidirect
395. #88140	C₂×C₄	semidirect
396. #88140	C₂×C₄	semidirect
397. #88140	C₂×C₄	semidirect
398. #88139	C₂×C₄	semidirect
399. #88139	C₂×C₄	semidirect
400. #88139	C₂×C₄	semidirect
401. #88139	C₂×C₄	semidirect
402. #88139	C₂×C₄	semidirect
403. #88139	C₂×C₄	semidirect
404. #88139	C₂×C₄	semidirect
405. #88139	C₂×C₄	semidirect
406. #88138	C₂×C₄	semidirect
407. #88138	C₂×C₄	semidirect
408. #88138	C₂×C₄	semidirect
409. #88138	C₂×C₄	semidirect
410. #88138	C₂×C₄	semidirect
411. #88138	C₂×C₄	semidirect
412. #88138	C₂×C₄	semidirect
413. #88138	C₂×C₄	semidirect
414. #88137	C₂×C₄	semidirect
415. #88137	C₂×C₄	semidirect
416. #88137	C₂×C₄	semidirect
417. #88137	C₂×C₄	semidirect
418. #88137	C₂×C₄	semidirect
419. #88137	C₂×C₄	semidirect
420. #88137	C₂×C₄	semidirect
421. #88137	C₂×C₄	semidirect
434. #88132	C₂×C₄	semidirect
435. #88132	C₂×C₄	semidirect
436. #88132	C₂×C₄	semidirect
437. #88132	C₂×C₄	semidirect
438. #88132	C₂×C₄	semidirect
439. #88132	C₂×C₄	semidirect
440. #88132	C₂×C₄	semidirect
441. #88132	C₂×C₄	semidirect
442. #88129	C₂×C₄	semidirect
443. #88129	C₂×C₄	semidirect
445. #88124	C₂×C₄	semidirect
1005. #562	#261	semidirect
1273. #125	C₂×#261	semidirect
1288. #124	C₂×#261	semidirect
1289. #124	C₂×#261	semidirect
1318. #123	C₂×#261	semidirect
1319. #123	C₂×#261	semidirect
1320. #123	C₂×#261	semidirect
1321. #123	C₂×#261	semidirect
1350. C₂²⋊Q₈	C₂×#261	semidirect
1351. C₂²⋊Q₈	C₂×#261	semidirect
1352. C₂²⋊Q₈	C₂×#261	semidirect
1353. C₂²⋊Q₈	C₂×#261	semidirect
1382. #121	C₂×#261	semidirect
1383. #121	C₂×#261	semidirect
1384. #121	C₂×#261	semidirect
1385. #121	C₂×#261	semidirect
1835. C₁₃	#34519	semidirect

Maximal subgroups

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

subgroup	index
#13131378	2
#13131377	2
#13131376	2
#13131374	2
#13131372	2
#13131371	2
#13131368	2
#13131364	2
#13131363	2
#13131362	2
#13131361	2
#13131360	2
#13131359	2
#13131335	2
#13131333	2
#13131332	2
#13131330	2
#13131329	2
#13131326	2
#13131325	2
#13131324	2
#13131323	2
#13131322	2
C₂²⋊Q₈×#261	2
#123×#261	2
#121×#261	2
D₁₃×#562	2
#34519	13