Subgroups — #16727583

Order 3328.

1920 conjugacy classes of subgroups.

The subgroup lattice has 1176 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#13123850	C₂	1	2	yes	maximal, complemented
2	#13123841	C₂	1	2	yes	maximal, complemented
3	#13123832	C₂	1	2	yes	maximal, complemented
4	#13123832	C₂	1	2	yes	maximal, complemented
5	#13123823	C₂	1	2	yes	maximal, complemented
6	#13123823	C₂	1	2	yes	maximal, complemented
7	#13123812	C₂	1	2	yes	maximal, complemented
8	#13123803	C₂	1	2	yes	maximal, complemented
9	#13123785	C₂	1	1	yes	maximal, characteristic, complemented
10	#13123777	C₂	1	1	yes	maximal, characteristic, complemented
11	D₄×#6099	C₂	1	1	yes	maximal, characteristic, complemented
12	#13123563	C₂	1	1	yes	maximal, characteristic, complemented
13	#13123563	C₂	1	1	yes	maximal, characteristic, complemented
14	#13123540	C₂	1	1	yes	maximal, characteristic, complemented
15	#13123531	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#11718672	C₂	1	1	yes	maximal, characteristic, complemented
17	#13123502	C₂	1	1	yes	maximal, characteristic, complemented
18	#13123494	C₂	1	1	yes	maximal, characteristic, complemented
19	#13123494	C₂	1	1	yes	maximal, characteristic, complemented
20	#13123264	C₂	1	1	yes	maximal, characteristic, complemented
21	#13123255	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#11718658	C₂	1	1	yes	maximal, characteristic, complemented
23	C₁₃×#3475	C₂	1	1	yes	maximal, characteristic
24	C₁₃×#556	C₄	1	1	yes	characteristic
25	C₁₃×#555	C₄	1	1	yes	characteristic
26	C₁₃×#554	C₄	1	1	yes	characteristic
27	C₁₃×#553	C₄	1	1	yes	characteristic
28	C₁₃×#553	C₄	1	1	yes	characteristic
29	C₁₃×#552	C₄	1	1	yes	characteristic
30	C₁₃×#552	C₄	1	1	yes	characteristic
31	C₁₃×#552	C₄	1	2	yes	—
32	C₁₃×#551	C₄	1	2	yes	—
33	C₁₃×#551	C₄	1	2	yes	—
34	C₁₃×#547	C₄	1	1	yes	characteristic
35	C₁₃×#546	C₄	1	2	yes	—
36	C₁₃×#533	C₂²	1	1	yes	characteristic
37	C₁₃×#529	C₂²	1	2	yes	—
38	C₁₃×#529	C₂²	1	2	yes	—
39	C₁₃×#529	C₂²	1	2	yes	—
40	C₁₃×#525	C₂²	1	1	yes	characteristic
41	C₁₃×#525	C₂²	1	1	yes	characteristic
42	C₄×C₁₃×#41	C₂²	1	2	yes	—
43	C₄×C₁₃×#41	C₂²	1	1	yes	characteristic
44	C₂×C₄×D₄×C₁₃	C₂²	1	1	yes	characteristic
45	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
46	C₂×C₁₃×#117	C₂²	1	1	yes	characteristic
47	C₂×#88202	C₂²	1	1	yes	characteristic
48	C₂×#88202	C₂²	1	1	yes	characteristic
49	C₂²×#6099	C₂²	1	1	yes	characteristic
50	C₂²×#6099	C₂²	1	1	yes	characteristic
51	C₂²×#6099	C₂²	1	1	yes	characteristic
52	C₂³×#1055	C₂²	1	1	yes	characteristic
53	#11718895	C₂²	1	1	yes	characteristic
54	#11718895	C₂²	1	1	yes	characteristic
55	#11718868	C₂²	1	1	yes	characteristic
56	#11718868	C₂²	1	1	yes	characteristic
57	C₂×C₂²⋊#1055	C₂²	1	1	yes	characteristic
58	C₂×C₂²⋊#1055	C₂²	1	1	yes	characteristic
59	#11718685	C₂²	1	2	yes	complemented
60	#11718685	C₂²	1	2	yes	complemented
61	#11718685	C₂²	1	2	yes	complemented
62	#11718685	C₂²	1	2	yes	complemented
63	#11718685	C₂²	1	2	yes	complemented
64	#11718685	C₂²	1	2	yes	complemented
65	#11718685	C₂²	1	2	yes	complemented
66	Q₈×#1055	C₂²	1	2	yes	complemented
67	#11718673	C₂²	1	2	yes	—
68	#11718673	C₂²	1	2	yes	complemented
69	#11718673	C₂²	1	2	yes	complemented
70	#11718673	C₂²	1	2	yes	complemented
71	#11718673	C₂²	1	2	yes	complemented
72	#11718672	C₂²	1	1	yes	characteristic
73	#11718672	C₂²	1	1	yes	characteristic
74	#11718672	C₂²	1	2	yes	—
75	#11718672	C₂²	1	1	yes	characteristic
76	#11718672	C₂²	1	1	yes	characteristic
77	#11718672	C₂²	1	1	yes	characteristic
78	#11718672	C₂²	1	1	yes	characteristic
79	#11718672	C₂²	1	1	yes	characteristic
80	#11718672	C₂²	1	1	yes	characteristic
81	#11718672	C₂²	1	2	yes	—
82	#11718672	C₂²	1	2	yes	complemented
83	#11718672	C₂²	1	2	yes	complemented
84	#11718672	C₂²	1	2	yes	complemented
85	#11718672	C₂²	1	2	yes	complemented
86	#11718672	C₂²	1	2	yes	complemented
87	#11718672	C₂²	1	2	yes	complemented
88	#11718672	C₂²	1	2	yes	complemented
89	#11718672	C₂²	1	2	yes	complemented
90	D₄×#1055	C₂²	1	2	yes	—
91	D₄×#1055	C₂²	1	2	yes	complemented
92	D₄×#1055	C₂²	1	2	yes	complemented
93	D₄×#1055	C₂²	1	2	yes	complemented
94	D₄×#1055	C₂²	1	2	yes	complemented
95	#11718661	C₂²	1	2	yes	complemented
96	#11718661	C₂²	1	2	yes	complemented
97	#11718661	C₂²	1	2	yes	complemented
98	#11718661	C₂²	1	2	yes	complemented
99	#11718661	C₂²	1	2	yes	complemented
100	#11718661	C₂²	1	2	yes	complemented
101	#11718660	C₂²	1	1	yes	characteristic
102	#11718660	C₂²	1	1	yes	characteristic
103	#11718660	C₂²	1	1	yes	characteristic
104	#11718660	C₂²	1	1	yes	characteristic
105	#11718658	C₂²	1	1	yes	characteristic
106	#11718658	C₂²	1	1	yes	characteristic
107	#11718658	C₂²	1	1	yes	characteristic
108	#11718658	C₂²	1	1	yes	characteristic
109	#11718658	C₂²	1	1	yes	characteristic
110	#11718658	C₂²	1	1	yes	characteristic
111	#11718658	C₂²	1	1	yes	characteristic
112	#11718658	C₂²	1	1	yes	characteristic
113	#11718658	C₂²	1	2	yes	complemented
114	#11718658	C₂²	1	2	yes	complemented
115	#11718658	C₂²	1	2	yes	complemented
116	#11718658	C₂²	1	2	yes	complemented
117	#11718658	C₂²	1	2	yes	complemented
118	#11718658	C₂²	1	2	yes	complemented
119	#11718587	C₂²	1	2	yes	complemented
120	#11718587	C₂²	1	2	yes	complemented
121	#11718587	C₂²	1	2	yes	complemented
122	#11718586	C₂²	1	2	yes	complemented
123	#11718586	C₂²	1	2	yes	complemented
124	#11718586	C₂²	1	2	yes	complemented
125	#11718585	C₂²	1	1	yes	characteristic
126	C₂×C₄⋊#1055	C₂²	1	1	yes	characteristic
127	C₄×#6099	C₂²	1	1	yes	characteristic
128	C₄×#6099	C₂²	1	2	yes	complemented
129	C₄×#6099	C₂²	1	2	yes	complemented
130	C₄×#6099	C₂²	1	2	yes	complemented
131	C₂×#88043	C₂²	1	1	yes	characteristic
132	C₂×#88043	C₂²	1	2	yes	complemented
133	C₂×#88043	C₂²	1	2	yes	complemented
134	C₂×C₄×#1055	C₂²	1	2	yes	complemented
135	C₂×C₁₃×#41	C₂×C₄	1	2	yes	—
136	C₂×C₁₃×#41	C₂³	1	1	yes	characteristic
137	C₂²×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
138	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
139	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
140	C₁₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
141	C₁₃×C₄⋊Q₈	C₂×C₄	1	1	yes	characteristic
142	C₁₃×#126	C₂×C₄	1	2	yes	—
143	C₁₃×#126	C₂×C₄	1	2	yes	—
144	C₁₃×#126	C₂×C₄	1	2	yes	—
145	C₁₃×#126	C₂×C₄	1	2	yes	—
146	C₁₃×#126	C₂×C₄	1	2	yes	—
147	C₁₃×#126	C₂×C₄	1	2	yes	—
148	C₁₃×#125	C₂×C₄	1	2	yes	—
149	C₁₃×#125	C₂×C₄	1	2	yes	—
150	C₁₃×#125	C₂×C₄	1	2	yes	—
151	C₁₃×#125	C₂×C₄	1	1	yes	characteristic
152	C₁₃×#125	C₂×C₄	1	1	yes	characteristic
153	C₁₃×#124	C₂×C₄	1	2	yes	—
154	C₁₃×#124	C₂×C₄	1	2	yes	—
155	C₁₃×#124	C₂×C₄	1	2	yes	—
156	C₁₃×#123	C₂×C₄	1	2	yes	—
157	C₁₃×#123	C₂×C₄	1	2	yes	—
158	C₁₃×#123	C₂×C₄	1	2	yes	—
159	C₁₃×#123	C₂×C₄	1	2	yes	—
160	C₁₃×#123	C₂×C₄	1	2	yes	—
161	C₁₃×#123	C₂×C₄	1	2	yes	—
162	C₁₃×#123	C₂×C₄	1	2	yes	—
163	C₁₃×#123	C₂×C₄	1	2	yes	—
164	C₁₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
165	C₁₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
166	C₁₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
167	C₁₃×C₂²⋊Q₈	C₂×C₄	1	1	yes	characteristic
168	C₁₃×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
169	C₁₃×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
170	C₁₃×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
171	C₁₃×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
172	C₁₃×C₂²⋊Q₈	C₂×C₄	1	2	yes	—
173	C₁₃×#121	C₂×C₄	1	1	yes	characteristic
174	C₁₃×#121	C₂×C₄	1	1	yes	characteristic
175	C₁₃×#121	C₂×C₄	1	1	yes	characteristic
176	C₁₃×#121	C₂×C₄	1	1	yes	characteristic
177	C₁₃×#121	C₂×C₄	1	2	yes	—
178	C₁₃×#121	C₂×C₄	1	2	yes	—
179	C₁₃×#121	C₂×C₄	1	2	yes	—
180	C₁₃×#120	C₂×C₄	1	2	yes	—
181	C₁₃×#120	C₂×C₄	1	2	yes	—
182	C₄×Q₈×C₁₃	C₂×C₄	1	1	yes	characteristic
183	C₄×Q₈×C₁₃	C₂×C₄	1	2	yes	—
184	C₄×Q₈×C₁₃	C₂×C₄	1	1	yes	characteristic
185	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
186	C₄×Q₈×C₁₃	C₂³	1	2	yes	—
187	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
188	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
189	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
190	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
191	C₄×D₄×C₁₃	C₂×C₄	1	2	yes	—
192	C₄×D₄×C₁₃	C₂×C₄	1	2	yes	—
193	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
194	C₄×D₄×C₁₃	C₂×C₄	1	2	yes	—
195	C₄×D₄×C₁₃	C₂×C₄	1	2	yes	—
196	C₄×D₄×C₁₃	C₂×C₄	1	2	yes	—
197	C₄×D₄×C₁₃	C₂×C₄	1	1	yes	characteristic
198	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
199	C₄×D₄×C₁₃	C₂³	1	2	yes	—
200	C₄×D₄×C₁₃	C₂³	1	2	yes	—
201	C₄×D₄×C₁₃	C₂³	1	2	yes	—
202	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
203	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
204	C₄×D₄×C₁₃	C₂³	1	1	yes	characteristic
205	C₄×D₄×C₁₃	C₂³	1	2	yes	—
206	C₁₃×#117	C₂×C₄	1	2	yes	—
207	C₁₃×#117	C₂×C₄	1	2	yes	—
208	C₁₃×#117	C₂×C₄	1	1	yes	characteristic
209	C₁₃×#117	C₂×C₄	1	1	yes	characteristic
210	C₁₃×#117	C₂×C₄	1	1	yes	characteristic
211	C₁₃×#117	C₂×C₄	1	1	yes	characteristic
212	C₁₃×#117	C₂×C₄	1	2	yes	—
213	C₁₃×#117	C₂×C₄	1	2	yes	—
214	C₁₃×#117	C₂×C₄	1	2	yes	—
215	C₁₃×#117	C₂³	1	1	yes	characteristic
216	C₁₃×#117	C₂³	1	1	yes	characteristic
217	C₁₃×#117	C₂³	1	1	yes	characteristic
218	C₁₃×#117	C₂³	1	2	yes	—
219	C₁₃×#117	C₂³	1	2	yes	—
220	C₁₃×#117	C₂³	1	2	yes	—
221	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
222	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
223	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
224	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
225	C₂×C₁₃×C₄⋊C₄	C₂×C₄	1	1	yes	characteristic
226	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	2	yes	—
227	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	2	yes	—
228	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
229	C₂×C₁₃×C₂²⋊C₄	C₂×C₄	1	1	yes	characteristic
230	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
231	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
232	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
233	C₂×C₄²×C₁₃	C₂³	1	2	yes	—
234	#88202	—	2	4	no	—
235	#88202	—	2	4	no	—
236	C₂×#6099	—	2	4	no	—
237	C₂×#6099	—	2	4	no	—
238	C₂×#6099	—	2	4	no	—
239	C₂×#6099	C₂³	1	1	yes	characteristic
240	C₂×#6099	C₂³	1	1	yes	characteristic
241	C₂×#6099	C₂³	1	1	yes	characteristic
242	C₂×#6099	C₂³	1	1	yes	characteristic
243	C₂×#6099	C₂³	1	1	yes	characteristic
244	C₂×#6099	C₂³	1	2	yes	—
245	C₂×#6099	C₂³	1	2	yes	—
246	C₂×#6099	C₂³	1	2	yes	—
247	C₂×#6099	C₂³	1	1	yes	characteristic
248	C₂×#6099	C₂³	1	1	yes	characteristic
249	C₂×#6099	C₂³	1	2	yes	—
250	C₂×#6099	C₂³	1	1	yes	characteristic
251	C₂²×#1055	—	2	4	no	—
252	C₂²×#1055	C₂³	1	1	yes	characteristic
253	C₂²×#1055	C₂³	1	1	yes	characteristic
254	C₂²×#1055	C₂³	1	1	yes	characteristic
255	C₂²×#1055	C₂³	1	2	yes	—
256	C₂²×#1055	C₂³	1	1	yes	characteristic
257	C₂²×#1055	C₂³	1	1	yes	characteristic
258	C₂²×#1055	C₂³	1	2	yes	—
259	C₂²×#1055	C₂³	1	2	yes	—
260	C₂²×#1055	C₂³	1	2	yes	—
261	C₂²×#1055	C₂³	1	1	yes	characteristic
262	C₂²×#1055	C₂³	1	1	yes	characteristic
263	C₂²×#1055	C₂³	1	1	yes	characteristic
264	C₂²⋊#1055	C₂³	1	2	yes	—
265	C₂²⋊#1055	C₂³	1	1	yes	characteristic
266	C₂²⋊#1055	C₂³	1	2	yes	—
267	C₂²⋊#1055	C₂³	1	1	yes	characteristic
268	C₂²⋊#1055	C₂³	1	1	yes	characteristic
269	C₂²⋊#1055	C₂³	1	1	yes	characteristic
270	C₂²⋊#1055	C₂³	1	2	yes	—
271	C₂²⋊#1055	C₂³	1	2	yes	—
272	C₂²⋊#1055	C₂³	1	2	yes	—
273	C₂²⋊#1055	C₂³	1	2	yes	—
274	C₂²⋊#1055	C₂³	1	2	yes	—
275	C₂²⋊#1055	C₂³	1	1	yes	characteristic
276	C₂²⋊#1055	C₂³	1	1	yes	characteristic
277	C₂²⋊#1055	C₂³	1	1	yes	characteristic
278	C₂²⋊#1055	C₂³	1	1	yes	characteristic
279	C₂²⋊#1055	C₂³	1	2	yes	—
280	C₄⋊#1055	C₂³	1	2	yes	—
281	C₄⋊#1055	C₂³	1	2	yes	—
282	C₄⋊#1055	C₂³	1	2	yes	—
283	C₄⋊#1055	C₂³	1	2	yes	—
284	C₄⋊#1055	C₂³	1	2	yes	—
285	C₄⋊#1055	C₂³	1	2	yes	—
286	C₄⋊#1055	C₂³	1	2	yes	—
287	C₄⋊#1055	C₂³	1	2	yes	—
288	C₄⋊#1055	C₂³	1	2	yes	—
289	C₄⋊#1055	C₂³	1	1	yes	characteristic
290	C₄⋊#1055	C₂³	1	1	yes	characteristic
291	C₄⋊#1055	C₂³	1	1	yes	characteristic
292	C₄⋊#1055	C₂³	1	1	yes	characteristic
293	C₄⋊#1055	C₂³	1	2	yes	—
294	#88043	C₂³	1	2	yes	—
295	#88043	C₂³	1	2	yes	—
296	#88043	C₂³	1	2	yes	—
297	#88043	C₂³	1	2	yes	—
298	#88043	C₂³	1	2	yes	—
299	#88043	C₂³	1	2	yes	—
300	#88043	C₂³	1	2	yes	—
301	#88043	C₂³	1	2	yes	—
302	#88043	C₂³	1	1	yes	characteristic
303	#88043	C₂³	1	1	yes	characteristic
304	#88043	C₂³	1	1	yes	characteristic
305	#88043	C₂³	1	1	yes	characteristic
306	#88043	C₂³	1	2	yes	—
307	C₄×#1055	C₂³	1	2	yes	—
308	C₄×#1055	C₂³	1	2	yes	—
309	C₄×#1055	C₂³	1	2	yes	—
310	C₄×#1055	C₂³	1	2	yes	—
311	C₄×#1055	C₂³	1	2	yes	—
312	C₄×#1055	C₂³	1	2	yes	—
313	C₄×#1055	C₂³	1	2	yes	—
314	C₄×#1055	C₂³	1	2	yes	—
315	C₄×#1055	C₂³	1	2	yes	—
316	#60216	—	13	1	no	maximal, Sylow
317	C₂⁴×C₁₃	C₂²×C₄	1	1	yes	characteristic
318	C₂⁴×C₁₃	C₂²×C₄	1	1	yes	characteristic
319	C₁₃×#41	—	2	2	no	—
320	C₁₃×#41	—	2	2	no	—
321	C₁₃×#41	—	4	4	no	—
322	C₂×Q₈×C₁₃	C₂²×C₄	1	1	yes	characteristic
323	C₂×Q₈×C₁₃	C₂²×C₄	1	2	yes	—
324	C₂×Q₈×C₁₃	C₂²×C₄	1	2	yes	—
325	C₂×D₄×C₁₃	—	4	2	no	—
326	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
327	C₂×D₄×C₁₃	C₂²×C₄	1	2	yes	—
328	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
329	C₂×D₄×C₁₃	C₂²×C₄	1	2	yes	—
330	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
331	C₂×D₄×C₁₃	C₂²×C₄	1	2	yes	—
332	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
333	C₂×D₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
334	C₂×D₄×C₁₃	C₂²×C₄	1	2	yes	—
335	C₂×D₄×C₁₃	C₂²×C₄	1	2	yes	—
336	C₂²×C₄×C₁₃	—	2	2	no	—
337	C₂²×C₄×C₁₃	—	2	2	no	—
338	C₂²×C₄×C₁₃	—	2	2	no	—
339	C₂²×C₄×C₁₃	—	2	2	no	—
340	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
341	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
342	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
343	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
344	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
345	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
346	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
347	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
348	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
349	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
350	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
351	C₂²×C₄×C₁₃	C₂²×C₄	1	1	yes	characteristic
352	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
353	C₂²×C₄×C₁₃	C₂²×C₄	1	2	yes	—
354	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
355	C₂²×C₄×C₁₃	C₂⁴	1	2	yes	—
356	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
357	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
358	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
359	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
360	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
361	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
362	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
363	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
364	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
365	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
366	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
367	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
368	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
369	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
370	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
371	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
372	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
373	C₁₃×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
374	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
375	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
376	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
377	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
378	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
379	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
380	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
381	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
382	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
383	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
384	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
385	C₁₃×C₄⋊C₄	C₂²×C₄	1	2	yes	—
386	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
387	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
388	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
389	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
390	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
391	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
392	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
393	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
394	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
395	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
396	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
397	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
398	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
399	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
400	C₁₃×C₂²⋊C₄	C₂²×C₄	1	1	yes	characteristic
401	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
402	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
403	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
404	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
405	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
406	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
407	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
408	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
409	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
410	C₁₃×C₂²⋊C₄	C₂²×C₄	1	2	yes	—
411	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
412	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
413	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
414	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
415	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
416	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
417	C₄²×C₁₃	C₂²×C₄	1	1	yes	characteristic
418	C₄²×C₁₃	C₂²×C₄	1	2	yes	—
419	C₄²×C₁₃	C₂⁴	1	2	yes	—
420	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
421	C₄²×C₁₃	C₂⁴	1	1	yes	characteristic
422	C₄²×C₁₃	C₂⁴	1	2	yes	—
423	C₄²×C₁₃	C₂⁴	1	2	yes	—
424	#6099	—	2	2	no	—
425	#6099	—	2	2	no	—
426	#6099	—	2	2	no	—
427	#6099	—	2	2	no	—
428	#6099	—	2	2	no	—
429	#6099	—	2	4	no	—
430	#6099	—	2	4	no	—
431	#6099	—	2	2	no	—
432	#6099	—	2	2	no	—
433	#6099	—	2	4	no	—
434	#6099	—	2	4	no	—
435	#6099	#41	1	4	yes	complemented
436	C₂×#1055	—	2	2	no	—
437	C₂×#1055	—	2	2	no	—
438	C₂×#1055	—	2	2	no	—
439	C₂×#1055	—	2	2	no	—
440	C₂×#1055	—	2	2	no	—
441	C₂×#1055	—	2	2	no	—
442	C₂×#1055	—	2	2	no	—
443	C₂×#1055	—	2	4	no	—
444	C₂×#1055	—	2	4	no	—
445	C₂×#1055	—	2	4	no	—
446	C₂×#1055	—	2	4	no	—
447	C₂×#1055	#41	1	4	yes	complemented
448	C₂×#1055	C₂⁴	1	1	yes	characteristic
449	C₂×#1055	C₂⁴	1	1	yes	characteristic
450	C₂×#1055	C₂⁴	1	1	yes	characteristic
451	C₂×#1055	C₂⁴	1	2	yes	—
452	C₂×#1055	C₂⁴	1	2	yes	—
453	C₂×#1055	C₂⁴	1	2	yes	—
454	C₂×#1055	C₂⁴	1	1	yes	characteristic
455	C₂×#1055	C₂⁴	1	1	yes	characteristic
456	C₂×#1055	C₂⁴	1	1	yes	characteristic
457	C₂×#1055	C₂⁴	1	1	yes	characteristic
458	C₂×#1055	C₂⁴	1	2	yes	—
459	C₂×#1055	C₂⁴	1	1	yes	characteristic
460	#3475	D₁₃	1	1	yes	characteristic
461	#2970	—	13	2	no	—
462	#2969	—	13	2	no	—
463	#2968	—	13	2	no	—
464	#2968	—	13	2	no	—
465	#2967	—	13	2	no	—
466	#2967	—	13	2	no	—
467	#2966	—	13	2	no	—
468	#2965	—	13	2	no	—
469	#2962	—	13	1	no	—
470	#2961	—	13	1	no	—
471	D₄×M₁₆	—	13	1	no	—
472	#2933	—	13	1	no	—
473	#2933	—	13	1	no	—
474	#2930	—	13	1	no	—
475	#2929	—	13	1	no	—
476	C₂×#435	—	13	1	no	—
477	#2925	—	13	1	no	—
478	#2924	—	13	1	no	—
479	#2924	—	13	1	no	—
480	#2875	—	13	1	no	—
481	#2873	—	13	1	no	—
482	C₂×#405	—	13	1	no	—
483	C₂³×C₁₃	—	2	2	no	—
484	C₂³×C₁₃	—	2	2	no	—
485	C₂³×C₁₃	—	2	2	no	—
486	C₂³×C₁₃	—	4	1	no	—
487	C₂³×C₁₃	—	4	1	no	—
488	C₂³×C₁₃	—	4	1	no	—
489	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
490	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
491	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
492	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
493	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
494	C₂³×C₁₃	C₂³×C₄	1	1	yes	characteristic
495	Q₈×C₁₃	—	2	2	no	—
496	Q₈×C₁₃	—	4	2	no	—
497	Q₈×C₁₃	—	4	2	no	—
498	D₄×C₁₃	—	2	4	no	—
499	D₄×C₁₃	—	2	2	no	—
500	D₄×C₁₃	—	2	2	no	—
501	D₄×C₁₃	—	2	4	no	—
502	D₄×C₁₃	—	2	2	no	—
503	D₄×C₁₃	—	4	1	no	—
504	D₄×C₁₃	—	4	1	no	—
505	D₄×C₁₃	—	4	2	no	—
506	D₄×C₁₃	—	4	2	no	—
507	D₄×C₁₃	—	4	2	no	—
508	C₂×C₄×C₁₃	—	2	2	no	—
509	C₂×C₄×C₁₃	—	2	2	no	—
510	C₂×C₄×C₁₃	—	2	4	no	—
511	C₂×C₄×C₁₃	—	2	2	no	—
512	C₂×C₄×C₁₃	—	2	2	no	—
513	C₂×C₄×C₁₃	—	2	2	no	—
514	C₂×C₄×C₁₃	—	2	2	no	—
515	C₂×C₄×C₁₃	—	2	1	no	—
516	C₂×C₄×C₁₃	—	2	1	no	—
517	C₂×C₄×C₁₃	—	2	1	no	—
518	C₂×C₄×C₁₃	—	2	1	no	—
519	C₂×C₄×C₁₃	—	2	2	no	—
520	C₂×C₄×C₁₃	—	2	2	no	—
521	C₂×C₄×C₁₃	—	2	1	no	—
522	C₂×C₄×C₁₃	—	2	1	no	—
523	C₂×C₄×C₁₃	—	2	1	no	—
524	C₂×C₄×C₁₃	—	2	1	no	—
525	C₂×C₄×C₁₃	—	4	2	no	—
526	C₂×C₄×C₁₃	—	4	2	no	—
527	C₂×C₄×C₁₃	—	4	2	no	—
528	C₂×C₄×C₁₃	—	4	1	no	—
529	C₂×C₄×C₁₃	—	4	1	no	—
530	C₂×C₄×C₁₃	—	4	2	no	—
531	C₂×C₄×C₁₃	—	4	2	no	—
532	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
533	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
534	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
535	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
536	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
537	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
538	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
539	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
540	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
541	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
542	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
543	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
544	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
545	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
546	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
547	C₂×C₄×C₁₃	C₂³×C₄	1	1	yes	characteristic
548	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
549	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
550	C₂×C₄×C₁₃	C₂⁵	1	1	yes	characteristic
551	#1055	—	2	1	no	—
552	#1055	—	2	1	no	—
553	#1055	—	2	1	no	—
554	#1055	—	2	1	no	—
555	#1055	—	2	1	no	—
556	#1055	—	2	1	no	—
557	#1055	—	2	2	no	—
558	#1055	—	2	2	no	—
559	#1055	—	2	2	no	—
560	#1055	C₂×#41	1	2	yes	—
561	#1055	C₂×#41	1	4	yes	—
562	#1055	C₂×#41	1	2	yes	—
563	C₂×#131	—	13	1	no	—
564	C₂×#131	—	13	1	no	—
565	C₂²×M₁₆	—	13	1	no	—
566	C₂²×M₁₆	—	13	1	no	—
567	C₂²×M₁₆	—	13	1	no	—
568	C₂³×C₈	—	13	1	no	—
569	#556	Dic₁₃	1	1	yes	characteristic
570	#555	Dic₁₃	1	1	yes	characteristic
571	#554	Dic₁₃	1	1	yes	characteristic
572	#553	Dic₁₃	1	1	yes	characteristic
573	#553	Dic₁₃	1	1	yes	characteristic
574	#552	Dic₁₃	1	1	yes	characteristic
575	#552	Dic₁₃	1	1	yes	characteristic
576	#552	Dic₁₃	1	2	yes	—
577	#551	Dic₁₃	1	2	yes	—
578	#551	Dic₁₃	1	2	yes	—
579	#547	Dic₁₃	1	1	yes	characteristic
580	#546	Dic₁₃	1	2	yes	—
581	#533	C₂×D₁₃	1	1	yes	characteristic
582	#529	C₂×D₁₃	1	2	yes	—
583	#529	C₂×D₁₃	1	2	yes	—
584	#529	C₂×D₁₃	1	2	yes	—
585	#525	C₂×D₁₃	1	1	yes	characteristic
586	#525	C₂×D₁₃	1	1	yes	characteristic
587	C₄×#41	C₂×D₁₃	1	2	yes	—
588	C₄×#41	C₂×D₁₃	1	1	yes	characteristic
589	C₂×C₄×D₄	C₂×D₁₃	1	1	yes	characteristic
590	C₂×#117	C₂×D₁₃	1	1	yes	characteristic
591	C₂×#117	C₂×D₁₃	1	1	yes	characteristic
592	#446	—	13	2	no	—
593	#446	—	13	2	no	—
594	#446	—	13	2	no	—
595	#446	—	13	2	no	—
596	#446	—	13	2	no	—
597	#446	—	13	2	no	—
598	#446	—	13	2	no	—
599	C₈×Q₈	—	13	2	no	—
600	#436	—	13	2	no	—
601	#436	—	13	2	no	—
602	#436	—	13	2	no	—
603	#436	—	13	2	no	—
604	#436	—	13	2	no	—
605	#435	—	13	1	no	—
606	#435	—	13	1	no	—
607	#435	—	13	1	no	—
608	#435	—	13	1	no	—
609	#435	—	13	1	no	—
610	#435	—	13	1	no	—
611	#435	—	13	1	no	—
612	#435	—	13	1	no	—
613	#435	—	13	2	no	—
614	#435	—	13	2	no	—
615	#435	—	13	2	no	—
616	#435	—	13	2	no	—
617	#435	—	13	2	no	—
618	#435	—	13	2	no	—
619	#435	—	13	2	no	—
620	#435	—	13	2	no	—
621	#435	—	13	2	no	—
622	#435	—	13	2	no	—
623	C₈×D₄	—	13	2	no	—
624	C₈×D₄	—	13	2	no	—
625	C₈×D₄	—	13	2	no	—
626	C₈×D₄	—	13	2	no	—
627	C₈×D₄	—	13	2	no	—
628	#433	—	13	2	no	—
629	#433	—	13	2	no	—
630	#433	—	13	2	no	—
631	#433	—	13	2	no	—
632	#433	—	13	2	no	—
633	#433	—	13	2	no	—
634	#432	—	13	2	no	—
635	#432	—	13	2	no	—
636	#432	—	13	2	no	—
637	#431	—	13	2	no	—
638	#431	—	13	2	no	—
639	#431	—	13	2	no	—
640	#424	—	13	1	no	—
641	#424	—	13	1	no	—
642	#424	—	13	1	no	—
643	#424	—	13	1	no	—
644	#423	—	13	1	no	—
645	C₂×C₄⋊C₈	—	13	1	no	—
646	#408	—	13	1	no	—
647	#408	—	13	1	no	—
648	#407	—	13	1	no	—
649	#407	—	13	1	no	—
650	C₂×C₂²⋊C₈	—	13	1	no	—
651	C₂×C₂²⋊C₈	—	13	1	no	—
652	#405	—	13	1	no	—
653	#405	—	13	1	no	—
654	#405	—	13	1	no	—
655	#405	—	13	1	no	—
656	#405	—	13	1	no	—
657	#405	—	13	1	no	—
658	#405	—	13	1	no	—
659	#405	—	13	1	no	—
660	#405	—	13	2	no	—
661	#405	—	13	2	no	—
662	#405	—	13	2	no	—
663	#405	—	13	2	no	—
664	#405	—	13	2	no	—
665	#405	—	13	2	no	—
666	C₄×M₁₆	—	13	2	no	—
667	C₄×M₁₆	—	13	2	no	—
668	C₄×M₁₆	—	13	1	no	—
669	C₄×M₁₆	—	13	2	no	—
670	C₂×#97	—	13	2	no	—
671	C₂×#97	—	13	1	no	—
672	C₂×#97	—	13	2	no	—
673	C₂×C₄×C₈	—	13	2	no	—
674	C₂²×C₁₃	—	2	1	no	—
675	C₂²×C₁₃	—	2	1	no	—
676	C₂²×C₁₃	—	2	1	no	—
677	C₂²×C₁₃	—	2	1	no	—
678	C₂²×C₁₃	—	2	1	no	—
679	C₂²×C₁₃	—	2	1	no	—
680	C₂²×C₁₃	—	2	1	no	—
681	C₂²×C₁₃	—	2	2	no	—
682	C₂²×C₁₃	—	2	1	no	—
683	C₂²×C₁₃	—	2	2	no	—
684	C₂²×C₁₃	—	2	1	no	—
685	C₂²×C₁₃	—	2	1	no	—
686	C₂²×C₁₃	—	2	1	no	—
687	C₂²×C₁₃	—	2	2	no	—
688	C₂²×C₁₃	—	2	1	no	—
689	C₂²×C₁₃	—	2	1	no	—
690	C₂²×C₁₃	—	4	4	no	—
691	C₂²×C₁₃	—	8	2	no	—
692	C₂²×C₁₃	C₄×#41	1	2	yes	—
693	C₂²×C₁₃	#568	1	2	yes	—
694	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
695	C₄×C₁₃	—	2	1	no	—
696	C₄×C₁₃	—	2	1	no	—
697	C₄×C₁₃	—	2	1	no	—
698	C₄×C₁₃	—	2	1	no	—
699	C₄×C₁₃	—	2	2	no	—
700	C₄×C₁₃	—	2	2	no	—
701	C₄×C₁₃	—	2	2	no	—
702	C₄×C₁₃	—	2	1	no	—
703	C₄×C₁₃	—	2	1	no	—
704	C₄×C₁₃	—	2	2	no	—
705	C₄×C₁₃	—	2	1	no	—
706	C₄×C₁₃	—	2	2	no	—
707	C₄×C₁₃	—	2	2	no	—
708	C₄×C₁₃	—	2	2	no	—
709	C₄×C₁₃	—	2	1	no	—
710	C₄×C₁₃	C₄×#41	1	2	yes	—
711	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
712	C₄×C₁₃	C₂²×#41	1	1	yes	characteristic
713	C₂×#41	C₂×Dic₁₃	1	2	yes	—
714	C₂×#41	C₂²×D₁₃	1	1	yes	characteristic
715	C₂²×D₄	C₂×Dic₁₃	1	1	yes	characteristic
716	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
717	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
718	#131	—	26	4	no	—
719	#131	—	26	4	no	—
720	C₂×M₁₆	—	13	1	no	—
721	C₂×M₁₆	—	13	1	no	—
722	C₂×M₁₆	—	13	1	no	—
723	C₂×M₁₆	—	13	2	no	—
724	C₂×M₁₆	—	13	1	no	—
725	C₂×M₁₆	—	13	1	no	—
726	C₂×M₁₆	—	13	1	no	—
727	C₂×M₁₆	—	13	2	no	—
728	C₂×M₁₆	—	13	1	no	—
729	C₂×M₁₆	—	13	1	no	—
730	C₂×M₁₆	—	13	2	no	—
731	C₂×M₁₆	—	13	2	no	—
732	C₂×M₁₆	—	26	4	no	—
733	C₂×M₁₆	—	26	4	no	—
734	C₂×M₁₆	—	26	4	no	—
735	C₂²×C₈	—	13	1	no	—
736	C₂²×C₈	—	13	1	no	—
737	C₂²×C₈	—	13	1	no	—
738	C₂²×C₈	—	13	1	no	—
739	C₂²×C₈	—	13	1	no	—
740	C₂²×C₈	—	13	1	no	—
741	C₂²×C₈	—	13	2	no	—
742	C₂²×C₈	—	13	1	no	—
743	C₂²×C₈	—	13	2	no	—
744	C₂²×C₈	—	13	1	no	—
745	C₂²×C₈	—	13	2	no	—
746	C₂²×C₈	—	13	2	no	—
747	C₂²×C₈	—	26	4	no	—
748	C₄⋊Q₈	C₂×Dic₁₃	1	1	yes	characteristic
749	C₄⋊Q₈	C₂×Dic₁₃	1	1	yes	characteristic
750	#126	C₂×Dic₁₃	1	2	yes	—
751	#126	C₂×Dic₁₃	1	2	yes	—
752	#126	C₂×Dic₁₃	1	2	yes	—
753	#126	C₂×Dic₁₃	1	2	yes	—
754	#126	C₂×Dic₁₃	1	2	yes	—
755	#126	C₂×Dic₁₃	1	2	yes	—
756	#125	C₂×Dic₁₃	1	2	yes	—
757	#125	C₂×Dic₁₃	1	2	yes	—
758	#125	C₂×Dic₁₃	1	2	yes	—
759	#125	C₂×Dic₁₃	1	1	yes	characteristic
760	#125	C₂×Dic₁₃	1	1	yes	characteristic
761	#124	C₂×Dic₁₃	1	2	yes	—
762	#124	C₂×Dic₁₃	1	2	yes	—
763	#124	C₂×Dic₁₃	1	2	yes	—
764	#123	C₂×Dic₁₃	1	2	yes	—
765	#123	C₂×Dic₁₃	1	2	yes	—
766	#123	C₂×Dic₁₃	1	2	yes	—
767	#123	C₂×Dic₁₃	1	2	yes	—
768	#123	C₂×Dic₁₃	1	2	yes	—
769	#123	C₂×Dic₁₃	1	2	yes	—
770	#123	C₂×Dic₁₃	1	2	yes	—
771	#123	C₂×Dic₁₃	1	2	yes	—
772	C₂²⋊Q₈	C₂×Dic₁₃	1	1	yes	characteristic
773	C₂²⋊Q₈	C₂×Dic₁₃	1	1	yes	characteristic
774	C₂²⋊Q₈	C₂×Dic₁₃	1	1	yes	characteristic
775	C₂²⋊Q₈	C₂×Dic₁₃	1	1	yes	characteristic
776	C₂²⋊Q₈	C₂×Dic₁₃	1	2	yes	—
777	C₂²⋊Q₈	C₂×Dic₁₃	1	2	yes	—
778	C₂²⋊Q₈	C₂×Dic₁₃	1	2	yes	—
779	C₂²⋊Q₈	C₂×Dic₁₃	1	2	yes	—
780	C₂²⋊Q₈	C₂×Dic₁₃	1	2	yes	—
781	#121	C₂×Dic₁₃	1	1	yes	characteristic
782	#121	C₂×Dic₁₃	1	1	yes	characteristic
783	#121	C₂×Dic₁₃	1	1	yes	characteristic
784	#121	C₂×Dic₁₃	1	1	yes	characteristic
785	#121	C₂×Dic₁₃	1	2	yes	—
786	#121	C₂×Dic₁₃	1	2	yes	—
787	#121	C₂×Dic₁₃	1	2	yes	—
788	#120	C₂×Dic₁₃	1	2	yes	—
789	#120	C₂×Dic₁₃	1	2	yes	—
790	C₄×Q₈	C₂×Dic₁₃	1	1	yes	characteristic
791	C₄×Q₈	C₂×Dic₁₃	1	2	yes	—
792	C₄×Q₈	C₂×Dic₁₃	1	1	yes	characteristic
793	C₄×Q₈	C₂²×D₁₃	1	2	yes	—
794	C₄×Q₈	C₂²×D₁₃	1	2	yes	—
795	C₄×D₄	C₂×Dic₁₃	1	1	yes	characteristic
796	C₄×D₄	C₂×Dic₁₃	1	1	yes	characteristic
797	C₄×D₄	C₂×Dic₁₃	1	1	yes	characteristic
798	C₄×D₄	C₂×Dic₁₃	1	1	yes	characteristic
799	C₄×D₄	C₂×Dic₁₃	1	2	yes	—
800	C₄×D₄	C₂×Dic₁₃	1	2	yes	—
801	C₄×D₄	C₂×Dic₁₃	1	1	yes	characteristic
802	C₄×D₄	C₂×Dic₁₃	1	2	yes	—
803	C₄×D₄	C₂×Dic₁₃	1	2	yes	—
804	C₄×D₄	C₂×Dic₁₃	1	2	yes	—
805	C₄×D₄	C₂×Dic₁₃	1	1	yes	characteristic
806	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
807	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
808	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
809	C₄×D₄	C₂²×D₁₃	1	1	yes	characteristic
810	C₄×D₄	C₂²×D₁₃	1	2	yes	—
811	C₄×D₄	C₂²×D₁₃	1	2	yes	—
812	C₄×D₄	C₂²×D₁₃	1	2	yes	—
813	C₄×D₄	C₂²×D₁₃	1	2	yes	—
814	#117	C₂×Dic₁₃	1	2	yes	—
815	#117	C₂×Dic₁₃	1	2	yes	—
816	#117	C₂×Dic₁₃	1	1	yes	characteristic
817	#117	C₂×Dic₁₃	1	1	yes	characteristic
818	#117	C₂×Dic₁₃	1	1	yes	characteristic
819	#117	C₂×Dic₁₃	1	1	yes	characteristic
820	#117	C₂×Dic₁₃	1	2	yes	—
821	#117	C₂×Dic₁₃	1	2	yes	—
822	#117	C₂×Dic₁₃	1	2	yes	—
823	#117	C₂²×D₁₃	1	1	yes	characteristic
824	#117	C₂²×D₁₃	1	1	yes	characteristic
825	#117	C₂²×D₁₃	1	1	yes	characteristic
826	#117	C₂²×D₁₃	1	2	yes	—
827	#117	C₂²×D₁₃	1	2	yes	—
828	#117	C₂²×D₁₃	1	2	yes	—
829	C₂×C₄⋊C₄	C₂×Dic₁₃	1	1	yes	characteristic
830	C₂×C₄⋊C₄	C₂×Dic₁₃	1	1	yes	characteristic
831	C₂×C₄⋊C₄	C₂×Dic₁₃	1	1	yes	characteristic
832	C₂×C₄⋊C₄	C₂×Dic₁₃	1	1	yes	characteristic
833	C₂×C₄⋊C₄	C₂×Dic₁₃	1	1	yes	characteristic
834	C₂×C₂²⋊C₄	C₂×Dic₁₃	1	2	yes	—
835	C₂×C₂²⋊C₄	C₂×Dic₁₃	1	2	yes	—
836	C₂×C₂²⋊C₄	C₂×Dic₁₃	1	1	yes	characteristic
837	C₂×C₂²⋊C₄	C₂×Dic₁₃	1	1	yes	characteristic
838	C₂×C₄²	C₂²×D₁₃	1	2	yes	—
839	C₂×C₄²	C₂²×D₁₃	1	2	yes	—
840	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
841	C₂×C₄²	C₂²×D₁₃	1	2	yes	—
842	C₄⋊C₈	—	13	1	no	—
843	C₄⋊C₈	—	13	1	no	—
844	C₄⋊C₈	—	13	1	no	—
845	C₄⋊C₈	—	13	1	no	—
846	C₄⋊C₈	—	13	2	no	—
847	C₄⋊C₈	—	13	2	no	—
848	C₄⋊C₈	—	13	2	no	—
849	C₄⋊C₈	—	13	2	no	—
850	C₄⋊C₈	—	13	2	no	—
851	C₄⋊C₈	—	13	2	no	—
852	C₄⋊C₈	—	13	2	no	—
853	C₄⋊C₈	—	13	2	no	—
854	C₄⋊C₈	—	13	2	no	—
855	C₄⋊C₈	—	13	2	no	—
856	C₂²⋊C₈	—	13	1	no	—
857	C₂²⋊C₈	—	13	1	no	—
858	C₂²⋊C₈	—	13	1	no	—
859	C₂²⋊C₈	—	13	1	no	—
860	C₂²⋊C₈	—	13	1	no	—
861	C₂²⋊C₈	—	13	1	no	—
862	C₂²⋊C₈	—	13	1	no	—
863	C₂²⋊C₈	—	13	1	no	—
864	C₂²⋊C₈	—	13	2	no	—
865	C₂²⋊C₈	—	13	2	no	—
866	C₂²⋊C₈	—	13	2	no	—
867	C₂²⋊C₈	—	13	2	no	—
868	C₂²⋊C₈	—	13	2	no	—
869	C₂²⋊C₈	—	13	2	no	—
870	C₂²⋊C₈	—	13	2	no	—
871	C₂²⋊C₈	—	13	2	no	—
872	#97	—	13	1	no	—
873	#97	—	13	2	no	—
874	#97	—	13	1	no	—
875	#97	—	13	2	no	—
876	#97	—	13	2	no	—
877	#97	—	13	2	no	—
878	#97	—	13	2	no	—
879	#97	—	13	1	no	—
880	#97	—	13	2	no	—
881	#97	—	13	1	no	—
882	#97	—	13	2	no	—
883	#97	—	13	2	no	—
884	#97	—	13	2	no	—
885	C₄×C₈	—	13	2	no	—
886	C₄×C₈	—	13	2	no	—
887	C₄×C₈	—	13	2	no	—
888	C₄×C₈	—	13	2	no	—
889	C₄×C₈	—	13	2	no	—
890	C₄×C₈	—	13	2	no	—
891	C₄×C₈	—	13	2	no	—
892	C₄×C₈	—	13	2	no	—
893	C₄×C₈	—	13	2	no	—
894	C₂×C₁₃	—	2	2	no	—
895	C₂×C₁₃	—	2	2	no	—
896	C₂×C₁₃	—	4	2	no	—
897	C₂×C₁₃	—	4	1	no	—
898	C₂×C₁₃	—	4	1	no	—
899	C₂×C₁₃	—	4	1	no	—
900	C₂×C₁₃	C₂×C₄×#41	1	1	yes	characteristic
901	C₂×C₁₃	C₂×#568	1	1	yes	characteristic
902	C₂×C₁₃	#3573	1	1	yes	characteristic
903	C₂⁴	C₂²×Dic₁₃	1	1	yes	characteristic
904	C₂⁴	C₂²×Dic₁₃	1	1	yes	characteristic
905	#41	—	2	2	no	—
906	#41	—	2	2	no	—
907	#41	—	4	4	no	—
908	C₂×Q₈	C₂²×Dic₁₃	1	1	yes	characteristic
909	C₂×Q₈	C₂²×Dic₁₃	1	2	yes	—
910	C₂×Q₈	C₂²×Dic₁₃	1	2	yes	—
911	C₂×D₄	—	4	2	no	—
912	C₂×D₄	C₂²×Dic₁₃	1	1	yes	characteristic
913	C₂×D₄	C₂²×Dic₁₃	1	2	yes	—
914	C₂×D₄	C₂²×Dic₁₃	1	1	yes	characteristic
915	C₂×D₄	C₂²×Dic₁₃	1	2	yes	—
916	C₂×D₄	C₂²×Dic₁₃	1	1	yes	characteristic
917	C₂×D₄	C₂²×Dic₁₃	1	2	yes	—
918	C₂×D₄	C₂²×Dic₁₃	1	1	yes	characteristic
919	C₂×D₄	C₂²×Dic₁₃	1	1	yes	characteristic
920	C₂×D₄	C₂²×Dic₁₃	1	2	yes	—
921	C₂×D₄	C₂²×Dic₁₃	1	2	yes	—
922	C₂²×C₄	—	2	2	no	—
923	C₂²×C₄	—	2	2	no	—
924	C₂²×C₄	—	2	2	no	—
925	C₂²×C₄	—	2	2	no	—
926	C₂²×C₄	C₂²×Dic₁₃	1	2	yes	—
927	C₂²×C₄	C₂²×Dic₁₃	1	1	yes	characteristic
928	C₂²×C₄	C₂²×Dic₁₃	1	1	yes	characteristic
929	C₂²×C₄	C₂²×Dic₁₃	1	1	yes	characteristic
930	C₂²×C₄	C₂²×Dic₁₃	1	1	yes	characteristic
931	C₂²×C₄	C₂²×Dic₁₃	1	1	yes	characteristic
932	C₂²×C₄	C₂²×Dic₁₃	1	1	yes	characteristic
933	C₂²×C₄	C₂²×Dic₁₃	1	1	yes	characteristic
934	C₂²×C₄	C₂²×Dic₁₃	1	2	yes	—
935	C₂²×C₄	C₂²×Dic₁₃	1	2	yes	—
936	C₂²×C₄	C₂²×Dic₁₃	1	2	yes	—
937	C₂²×C₄	C₂²×Dic₁₃	1	1	yes	characteristic
938	C₂²×C₄	C₂²×Dic₁₃	1	2	yes	—
939	C₂²×C₄	C₂²×Dic₁₃	1	2	yes	—
940	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
941	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
942	C₂²×C₄	C₂³×D₁₃	1	2	yes	—
943	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
944	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
945	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
946	M₁₆	—	13	4	no	—
947	M₁₆	—	26	2	no	—
948	M₁₆	—	26	2	no	—
949	M₁₆	—	26	2	no	—
950	M₁₆	—	26	2	no	—
951	M₁₆	—	26	4	no	—
952	M₁₆	—	26	4	no	—
953	M₁₆	—	26	4	no	—
954	M₁₆	—	26	4	no	—
955	M₁₆	—	26	2	no	—
956	M₁₆	—	26	2	no	—
957	M₁₆	—	26	2	no	—
958	C₂×C₈	—	13	4	no	—
959	C₂×C₈	—	13	1	no	—
960	C₂×C₈	—	13	2	no	—
961	C₂×C₈	—	13	1	no	—
962	C₂×C₈	—	13	1	no	—
963	C₂×C₈	—	13	2	no	—
964	C₂×C₈	—	13	1	no	—
965	C₂×C₈	—	13	1	no	—
966	C₂×C₈	—	13	2	no	—
967	C₂×C₈	—	13	2	no	—
968	C₂×C₈	—	13	1	no	—
969	C₂×C₈	—	13	1	no	—
970	C₂×C₈	—	13	1	no	—
971	C₂×C₈	—	26	2	no	—
972	C₂×C₈	—	26	2	no	—
973	C₂×C₈	—	26	2	no	—
974	C₂×C₈	—	26	2	no	—
975	C₂×C₈	—	26	4	no	—
976	C₂×C₈	—	26	4	no	—
977	C₂×C₈	—	26	4	no	—
978	C₂×C₈	—	26	4	no	—
979	C₂×C₈	—	26	2	no	—
980	C₂×C₈	—	26	2	no	—
981	C₂×C₈	—	26	2	no	—
982	C₄⋊C₄	C₂²×Dic₁₃	1	1	yes	characteristic
983	C₄⋊C₄	C₂²×Dic₁₃	1	1	yes	characteristic
984	C₄⋊C₄	C₂²×Dic₁₃	1	1	yes	characteristic
985	C₄⋊C₄	C₂²×Dic₁₃	1	1	yes	characteristic
986	C₄⋊C₄	C₂²×Dic₁₃	1	1	yes	characteristic
987	C₄⋊C₄	C₂²×Dic₁₃	1	1	yes	characteristic
988	C₄⋊C₄	C₂²×Dic₁₃	1	1	yes	characteristic
989	C₄⋊C₄	C₂²×Dic₁₃	1	2	yes	—
990	C₄⋊C₄	C₂²×Dic₁₃	1	2	yes	—
991	C₄⋊C₄	C₂²×Dic₁₃	1	2	yes	—
992	C₄⋊C₄	C₂²×Dic₁₃	1	2	yes	—
993	C₄⋊C₄	C₂²×Dic₁₃	1	1	yes	characteristic
994	C₄⋊C₄	C₂²×Dic₁₃	1	1	yes	characteristic
995	C₄⋊C₄	C₂²×Dic₁₃	1	1	yes	characteristic
996	C₄⋊C₄	C₂²×Dic₁₃	1	2	yes	—
997	C₄⋊C₄	C₂²×Dic₁₃	1	2	yes	—
998	C₄⋊C₄	C₂²×Dic₁₃	1	2	yes	—
999	C₄⋊C₄	C₂²×Dic₁₃	1	2	yes	—
1000	C₄⋊C₄	C₂²×Dic₁₃	1	2	yes	—
1001	C₄⋊C₄	C₂²×Dic₁₃	1	2	yes	—
1002	C₄⋊C₄	C₂²×Dic₁₃	1	2	yes	—
1003	C₄⋊C₄	C₂²×Dic₁₃	1	2	yes	—
1004	C₄⋊C₄	C₂²×Dic₁₃	1	2	yes	—
1005	C₄⋊C₄	C₂²×Dic₁₃	1	2	yes	—
1006	C₄⋊C₄	C₂²×Dic₁₃	1	2	yes	—
1007	C₄⋊C₄	C₂²×Dic₁₃	1	2	yes	—
1008	C₂²⋊C₄	C₂²×Dic₁₃	1	2	yes	—
1009	C₂²⋊C₄	C₂²×Dic₁₃	1	1	yes	characteristic
1010	C₂²⋊C₄	C₂²×Dic₁₃	1	1	yes	characteristic
1011	C₂²⋊C₄	C₂²×Dic₁₃	1	2	yes	—
1012	C₂²⋊C₄	C₂²×Dic₁₃	1	2	yes	—
1013	C₂²⋊C₄	C₂²×Dic₁₃	1	2	yes	—
1014	C₂²⋊C₄	C₂²×Dic₁₃	1	2	yes	—
1015	C₂²⋊C₄	C₂²×Dic₁₃	1	2	yes	—
1016	C₂²⋊C₄	C₂²×Dic₁₃	1	2	yes	—
1017	C₂²⋊C₄	C₂²×Dic₁₃	1	1	yes	characteristic
1018	C₂²⋊C₄	C₂²×Dic₁₃	1	1	yes	characteristic
1019	C₂²⋊C₄	C₂²×Dic₁₃	1	1	yes	characteristic
1020	C₂²⋊C₄	C₂²×Dic₁₃	1	1	yes	characteristic
1021	C₂²⋊C₄	C₂²×Dic₁₃	1	1	yes	characteristic
1022	C₂²⋊C₄	C₂²×Dic₁₃	1	1	yes	characteristic
1023	C₂²⋊C₄	C₂²×Dic₁₃	1	2	yes	—
1024	C₂²⋊C₄	C₂²×Dic₁₃	1	2	yes	—
1025	C₂²⋊C₄	C₂²×Dic₁₃	1	2	yes	—
1026	C₂²⋊C₄	C₂²×Dic₁₃	1	2	yes	—
1027	C₂²⋊C₄	C₂²×Dic₁₃	1	2	yes	—
1028	C₂²⋊C₄	C₂²×Dic₁₃	1	2	yes	—
1029	C₂²⋊C₄	C₂²×Dic₁₃	1	2	yes	—
1030	C₂²⋊C₄	C₂²×Dic₁₃	1	2	yes	—
1031	C₂²⋊C₄	C₂²×Dic₁₃	1	2	yes	—
1032	C₂²⋊C₄	C₂²×Dic₁₃	1	2	yes	—
1033	C₄²	C₂²×Dic₁₃	1	2	yes	—
1034	C₄²	C₂²×Dic₁₃	1	2	yes	—
1035	C₄²	C₂²×Dic₁₃	1	2	yes	—
1036	C₄²	C₂²×Dic₁₃	1	2	yes	—
1037	C₄²	C₂²×Dic₁₃	1	2	yes	—
1038	C₄²	C₂²×Dic₁₃	1	1	yes	characteristic
1039	C₄²	C₂²×Dic₁₃	1	1	yes	characteristic
1040	C₄²	C₂²×Dic₁₃	1	2	yes	—
1041	C₄²	C₂³×D₁₃	1	2	yes	—
1042	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1043	C₄²	C₂³×D₁₃	1	2	yes	—
1044	C₄²	C₂³×D₁₃	1	2	yes	—
1045	C₄²	C₂³×D₁₃	1	1	yes	characteristic
1046	C₁₃	#60216	1	1	yes	characteristic, complemented, Sylow
1047	C₂³	—	2	2	no	—
1048	C₂³	—	2	2	no	—
1049	C₂³	—	2	2	no	—
1050	C₂³	—	4	1	no	—
1051	C₂³	—	4	1	no	—
1052	C₂³	—	4	1	no	—
1053	C₂³	C₂³×Dic₁₃	1	1	yes	characteristic
1054	C₂³	C₂³×Dic₁₃	1	1	yes	characteristic
1055	C₂³	C₂³×Dic₁₃	1	2	yes	—
1056	C₂³	C₂³×Dic₁₃	1	1	yes	characteristic
1057	C₂³	C₂³×Dic₁₃	1	1	yes	characteristic
1058	C₂³	C₂³×Dic₁₃	1	1	yes	characteristic
1059	Q₈	—	2	2	no	—
1060	Q₈	—	4	2	no	—
1061	Q₈	—	4	2	no	—
1062	D₄	—	2	2	no	—
1063	D₄	—	2	2	no	—
1064	D₄	—	2	4	no	—
1065	D₄	—	2	4	no	—
1066	D₄	—	2	2	no	—
1067	D₄	—	4	1	no	—
1068	D₄	—	4	1	no	—
1069	D₄	—	4	2	no	—
1070	D₄	—	4	2	no	—
1071	D₄	—	4	2	no	—
1072	C₂×C₄	—	2	4	no	—
1073	C₂×C₄	—	2	2	no	—
1074	C₂×C₄	—	2	2	no	—
1075	C₂×C₄	—	2	2	no	—
1076	C₂×C₄	—	2	2	no	—
1077	C₂×C₄	—	2	2	no	—
1078	C₂×C₄	—	2	2	no	—
1079	C₂×C₄	—	2	1	no	—
1080	C₂×C₄	—	2	1	no	—
1081	C₂×C₄	—	2	1	no	—
1082	C₂×C₄	—	2	1	no	—
1083	C₂×C₄	—	2	2	no	—
1084	C₂×C₄	—	2	2	no	—
1085	C₂×C₄	—	2	1	no	—
1086	C₂×C₄	—	2	1	no	—
1087	C₂×C₄	—	2	1	no	—
1088	C₂×C₄	—	2	1	no	—
1089	C₂×C₄	—	4	1	no	—
1090	C₂×C₄	—	4	2	no	—
1091	C₂×C₄	—	4	2	no	—
1092	C₂×C₄	—	4	2	no	—
1093	C₂×C₄	—	4	1	no	—
1094	C₂×C₄	—	4	2	no	—
1095	C₂×C₄	—	4	2	no	—
1096	C₂×C₄	#41×D₁₃	1	2	yes	—
1097	C₂×C₄	#41×D₁₃	1	2	yes	—
1098	C₂×C₄	C₂³×Dic₁₃	1	1	yes	characteristic
1099	C₂×C₄	C₂³×Dic₁₃	1	1	yes	characteristic
1100	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1101	C₂×C₄	C₂³×Dic₁₃	1	1	yes	characteristic
1102	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1103	C₂×C₄	C₂³×Dic₁₃	1	1	yes	characteristic
1104	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1105	C₂×C₄	C₂³×Dic₁₃	1	1	yes	characteristic
1106	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1107	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1108	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1109	C₂×C₄	C₂³×Dic₁₃	1	2	yes	—
1110	C₂×C₄	C₂³×Dic₁₃	1	1	yes	characteristic
1111	C₂×C₄	C₂³×Dic₁₃	1	1	yes	characteristic
1112	C₂×C₄	C₂³×Dic₁₃	1	1	yes	characteristic
1113	C₂×C₄	C₂³×Dic₁₃	1	1	yes	characteristic
1114	C₂×C₄	C₂⁴×D₁₃	1	1	yes	characteristic
1115	C₈	—	13	2	no	—
1116	C₈	—	13	2	no	—
1117	C₈	—	13	4	no	—
1118	C₈	—	26	1	no	—
1119	C₈	—	26	1	no	—
1120	C₈	—	26	1	no	—
1121	C₈	—	26	2	no	—
1122	C₈	—	26	2	no	—
1123	C₈	—	26	2	no	—
1124	C₈	—	26	1	no	—
1125	C₈	—	26	1	no	—
1126	C₈	—	26	1	no	—
1127	C₂²	—	2	1	no	—
1128	C₂²	—	2	1	no	—
1129	C₂²	—	2	1	no	—
1130	C₂²	—	2	1	no	—
1131	C₂²	—	2	1	no	—
1132	C₂²	—	2	2	no	—
1133	C₂²	—	2	1	no	—
1134	C₂²	—	2	1	no	—
1135	C₂²	—	2	1	no	—
1136	C₂²	—	2	2	no	—
1137	C₂²	—	2	1	no	—
1138	C₂²	—	2	1	no	—
1139	C₂²	—	2	1	no	—
1140	C₂²	—	2	1	no	—
1141	C₂²	—	2	1	no	—
1142	C₂²	—	2	2	no	—
1143	C₂²	—	4	4	no	—
1144	C₂²	—	8	2	no	—
1145	C₂²	#11719524	1	2	yes	—
1146	C₂²	#41×Dic₁₃	1	2	yes	—
1147	C₂²	C₂⁴×Dic₁₃	1	1	yes	characteristic
1148	C₄	—	2	2	no	—
1149	C₄	—	2	2	no	—
1150	C₄	—	2	1	no	—
1151	C₄	—	2	1	no	—
1152	C₄	—	2	2	no	—
1153	C₄	—	2	1	no	—
1154	C₄	—	2	2	no	—
1155	C₄	—	2	2	no	—
1156	C₄	—	2	2	no	—
1157	C₄	—	2	1	no	—
1158	C₄	—	2	1	no	—
1159	C₄	—	2	1	no	—
1160	C₄	—	2	1	no	—
1161	C₄	—	2	1	no	—
1162	C₄	—	2	2	no	—
1163	C₄	#41×Dic₁₃	1	2	yes	—
1164	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1165	C₄	C₂×#41×D₁₃	1	1	yes	characteristic
1166	C₂	—	2	2	no	—
1167	C₂	—	2	2	no	—
1168	C₂	—	4	1	no	—
1169	C₂	—	4	1	no	—
1170	C₂	—	4	1	no	—
1171	C₂	—	4	2	no	—
1172	C₂	C₂×#41×Dic₁₃	1	1	yes	characteristic
1173	C₂	C₂×#11719524	1	1	yes	characteristic
1174	C₂	#13129548	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₁₃
commutator, socle	C₂²×C₁₃	C₂⁴×C₄
Fitting, prime radical	C₁₃×#3475	C₂
cosocle	C₂×C₄×C₁₃	C₂⁵
hypercenter	#3475	D₁₃
hypocenter	C₁₃	#60216
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂×C₄ ◁ #3475

Complements

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

N	H ≅ G/N	type
1. #13123850	C₂	semidirect
2. #13123841	C₂	semidirect
3. #13123832	C₂	semidirect
4. #13123832	C₂	semidirect
5. #13123823	C₂	semidirect
6. #13123823	C₂	semidirect
7. #13123812	C₂	semidirect
8. #13123803	C₂	semidirect
9. #13123785	C₂	semidirect
10. #13123777	C₂	semidirect
11. D₄×#6099	C₂	semidirect
12. #13123563	C₂	semidirect
13. #13123563	C₂	semidirect
14. #13123540	C₂	semidirect
15. #13123531	C₂	semidirect
16. C₂×#11718672	C₂	semidirect
17. #13123502	C₂	semidirect
18. #13123494	C₂	semidirect
19. #13123494	C₂	semidirect
20. #13123264	C₂	semidirect
21. #13123255	C₂	semidirect
22. C₂×#11718658	C₂	semidirect
59. #11718685	C₂²	semidirect
60. #11718685	C₂²	semidirect
61. #11718685	C₂²	semidirect
62. #11718685	C₂²	semidirect
63. #11718685	C₂²	semidirect
64. #11718685	C₂²	semidirect
65. #11718685	C₂²	semidirect
66. Q₈×#1055	C₂²	semidirect
68. #11718673	C₂²	semidirect
69. #11718673	C₂²	semidirect
70. #11718673	C₂²	semidirect
71. #11718673	C₂²	semidirect
82. #11718672	C₂²	semidirect
83. #11718672	C₂²	semidirect
84. #11718672	C₂²	semidirect
85. #11718672	C₂²	semidirect
86. #11718672	C₂²	semidirect
87. #11718672	C₂²	semidirect
88. #11718672	C₂²	semidirect
89. #11718672	C₂²	semidirect
91. D₄×#1055	C₂²	semidirect
92. D₄×#1055	C₂²	semidirect
93. D₄×#1055	C₂²	semidirect
94. D₄×#1055	C₂²	semidirect
95. #11718661	C₂²	semidirect
96. #11718661	C₂²	semidirect
97. #11718661	C₂²	semidirect
98. #11718661	C₂²	semidirect
99. #11718661	C₂²	semidirect
100. #11718661	C₂²	semidirect
113. #11718658	C₂²	semidirect
114. #11718658	C₂²	semidirect
115. #11718658	C₂²	semidirect
116. #11718658	C₂²	semidirect
117. #11718658	C₂²	semidirect
118. #11718658	C₂²	semidirect
119. #11718587	C₂²	semidirect
120. #11718587	C₂²	semidirect
121. #11718587	C₂²	semidirect
122. #11718586	C₂²	semidirect
123. #11718586	C₂²	semidirect
124. #11718586	C₂²	semidirect
128. C₄×#6099	C₂²	semidirect
129. C₄×#6099	C₂²	semidirect
130. C₄×#6099	C₂²	semidirect
132. C₂×#88043	C₂²	semidirect
133. C₂×#88043	C₂²	semidirect
134. C₂×C₄×#1055	C₂²	semidirect
435. #6099	#41	semidirect
447. C₂×#1055	#41	semidirect
1046. C₁₃	#60216	semidirect

Maximal subgroups

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

subgroup	index
#13123850	2
#13123841	2
#13123832	2
#13123823	2
#13123812	2
#13123803	2
#13123785	2
#13123777	2
D₄×#6099	2
#13123563	2
#13123540	2
#13123531	2
C₂×#11718672	2
#13123502	2
#13123494	2
#13123264	2
#13123255	2
C₂×#11718658	2
C₁₃×#3475	2
#60216	13