Subgroups — C₄×#11719342 #16022805

Order 3328.

2732 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#11719342	C₂	1	1	yes	maximal, characteristic
2	#13117968	C₂	1	1	yes	maximal, characteristic, complemented
3	#13117962	C₂	1	1	yes	maximal, characteristic, complemented
4	#13117959	C₂	1	1	yes	maximal, characteristic, complemented
5	#13117947	C₂	1	1	yes	maximal, characteristic, complemented
6	#13117921	C₂	1	1	yes	maximal, characteristic, complemented
7	#13117915	C₂	1	1	yes	maximal, characteristic, complemented
8	#13117826	C₂	1	1	yes	maximal, characteristic, complemented
9	#13117823	C₂	1	1	yes	maximal, characteristic, complemented
10	#13117812	C₂	1	1	yes	maximal, characteristic
11	#13117778	C₂	1	1	yes	maximal, characteristic, complemented
12	#13117775	C₂	1	1	yes	maximal, characteristic, complemented
13	#13117695	C₂	1	1	yes	maximal, characteristic, complemented
14	#13117694	C₂	1	1	yes	maximal, characteristic, complemented
15	#13117683	C₂	1	1	yes	maximal, characteristic, complemented
16	#13117682	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄×#88152	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄×#88152	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×#88201	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×#88200	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×#88148	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#88148	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#88140	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#88136	C₂	1	1	yes	maximal, characteristic
25	C₄²×C₂²⋊D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×#88147	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×#88146	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#88131	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×C₄×#6103	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₂²⋊C₄×D₁₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×C₁₃×C₂²⋊Q₈	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₁₃	C₂²	1	1	yes	characteristic
33	C₂×C₁₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
34	C₂×C₄×Q₈×C₁₃	C₂²	1	1	yes	characteristic, complemented
35	C₂²×C₄²×C₁₃	C₂²	1	1	yes	characteristic
36	C₂×#88201	C₂²	1	1	yes	characteristic
37	C₂×#88200	C₂²	1	1	yes	characteristic
38	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
39	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
40	C₂×C₄×C₂²⋊D₁₃	C₂²	1	1	yes	characteristic
41	C₂²×#6103	C₂²	1	1	yes	characteristic
42	C₂²×#6103	C₂²	1	1	yes	characteristic
43	C₂²×C₄×Dic₁₃	C₂²	1	1	yes	characteristic
44	#11719342	C₄	1	16	yes	direct product factor
45	C₂×#88152	C₂²	1	1	yes	characteristic
46	C₂×#88152	C₂²	1	1	yes	characteristic
47	C₂×#88148	C₂²	1	1	yes	characteristic
48	C₂×#88148	C₂²	1	1	yes	characteristic
49	C₂×#88147	C₂²	1	1	yes	characteristic
50	C₂×#88147	C₂²	1	1	yes	characteristic
51	C₂×#88146	C₂²	1	1	yes	characteristic
52	C₂×#88146	C₂²	1	1	yes	characteristic
53	C₂×#88140	C₂²	1	1	yes	characteristic
54	C₂×#88136	C₂²	1	1	yes	characteristic
55	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
56	C₂×C₂²⋊C₄×D₁₃	C₂²	1	1	yes	characteristic
57	C₂×#88131	C₂²	1	1	yes	characteristic
58	C₂×#88131	C₂²	1	1	yes	characteristic
59	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
60	C₂×C₄×D₅₂	C₂²	1	1	yes	characteristic
61	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
62	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic
63	C₂×C₄²×D₁₃	C₂²	1	1	yes	characteristic, complemented
64	C₁₃×#391	C₂²	1	1	yes	characteristic, complemented
65	C₁₃×#389	C₂²	1	1	yes	characteristic, complemented
66	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
67	C₁₃×#387	C₂²	1	1	yes	characteristic, complemented
68	C₁₃×#385	C₂²	1	1	yes	characteristic
69	C₁₃×#385	C₂²	1	1	yes	characteristic
70	C₁₃×#380	C₂²	1	1	yes	characteristic
71	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
72	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
73	C₄×C₁₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
74	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
75	C₄×C₁₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
76	#11718891	C₂²	1	1	yes	characteristic, complemented
77	#11718891	C₂²	1	1	yes	characteristic, complemented
78	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
79	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
80	C₄×C₂²⋊Dic₁₃	C₂²	1	1	yes	characteristic
81	C₂×#88071	C₂²	1	1	yes	characteristic
82	C₂×#88071	C₂²	1	1	yes	characteristic
83	#11718651	C₂²	1	1	yes	characteristic
84	#11718651	C₂²	1	1	yes	characteristic
85	#11718651	C₂²	1	1	yes	characteristic
86	#11718651	C₂²	1	1	yes	characteristic
87	#11718651	C₂²	1	1	yes	characteristic
88	#11718651	C₂²	1	1	yes	characteristic, complemented
89	#11718651	C₂²	1	1	yes	characteristic, complemented
90	#11718651	C₂²	1	1	yes	characteristic, complemented
91	#11718650	C₂²	1	1	yes	characteristic
92	#11718650	C₂²	1	1	yes	characteristic
93	#11718650	C₂²	1	1	yes	characteristic
94	#11718650	C₂²	1	1	yes	characteristic, complemented
95	#11718649	C₂²	1	1	yes	characteristic
96	#11718648	C₂²	1	1	yes	characteristic
97	#11718642	C₂²	1	1	yes	characteristic, complemented
98	#11718642	C₂²	1	1	yes	characteristic, complemented
99	#11718642	C₂²	1	1	yes	characteristic, complemented
100	#11718642	C₂²	1	1	yes	characteristic, complemented
101	#11718639	C₂²	1	1	yes	characteristic, complemented
102	#11718639	C₂²	1	1	yes	characteristic, complemented
103	#11718639	C₂²	1	1	yes	characteristic, complemented
104	#11718639	C₂²	1	1	yes	characteristic, complemented
105	#11718638	C₂²	1	1	yes	characteristic, complemented
106	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
107	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
108	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
109	C₄⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
110	#11718634	C₂²	1	1	yes	characteristic, complemented
111	#11718619	C₂²	1	1	yes	characteristic
112	#11718619	C₂²	1	1	yes	characteristic
113	#11718616	C₂²	1	1	yes	characteristic
114	#11718611	C₂²	1	1	yes	characteristic
115	#11718611	C₂²	1	1	yes	characteristic
116	#11718604	C₂²	1	1	yes	characteristic
117	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
118	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
119	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
120	C₂²⋊C₄×Dic₁₃	C₂²	1	1	yes	characteristic
121	C₄×#6103	C₂²	1	1	yes	characteristic
122	C₄×#6103	C₂²	1	1	yes	characteristic
123	C₄×#6103	C₂²	1	1	yes	characteristic
124	C₄×#6103	C₂²	1	1	yes	characteristic
125	C₄×#6103	C₂²	1	1	yes	characteristic
126	C₄×#6103	C₂²	1	1	yes	characteristic
127	C₄×#6103	C₂²	1	1	yes	characteristic
128	C₄×#6103	C₂²	1	1	yes	characteristic
129	C₄×#6103	C₂²	1	1	yes	characteristic
130	C₄×#6103	C₂²	1	1	yes	characteristic
131	C₄×#6103	C₂²	1	1	yes	characteristic
132	C₄×#6103	C₂²	1	1	yes	characteristic
133	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
134	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
135	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
136	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
137	C₄×#6103	C₂²	1	1	yes	characteristic, complemented
138	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
139	C₄×C₄⋊Dic₁₃	C₂²	1	1	yes	characteristic, complemented
140	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
141	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
142	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
143	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
144	C₄×#6101	C₂²	1	1	yes	characteristic, complemented
145	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
146	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
147	C₄²×Dic₁₃	C₂²	1	1	yes	characteristic, complemented
148	#11718331	C₂²	1	1	yes	characteristic
149	#11718331	C₂²	1	1	yes	characteristic
150	#11718331	C₂²	1	1	yes	characteristic, complemented
151	#11718331	C₂²	1	1	yes	characteristic, complemented
152	#11718330	C₂²	1	1	yes	characteristic
153	#11718330	C₂²	1	1	yes	characteristic
154	#11718330	C₂²	1	1	yes	characteristic
155	#11718330	C₂²	1	1	yes	characteristic, complemented
156	#11718329	C₂²	1	1	yes	characteristic
157	#11718329	C₂²	1	1	yes	characteristic
158	#11718327	C₂²	1	1	yes	characteristic
159	#11718327	C₂²	1	1	yes	characteristic
160	#11718327	C₂²	1	1	yes	characteristic
161	#11718327	C₂²	1	1	yes	characteristic
162	#11718327	C₂²	1	1	yes	characteristic
163	#11718327	C₂²	1	1	yes	characteristic
164	#11718327	C₂²	1	1	yes	characteristic, complemented
165	#11718327	C₂²	1	1	yes	characteristic, complemented
166	#11718326	C₂²	1	1	yes	characteristic
167	#11718326	C₂²	1	1	yes	characteristic
168	#11718326	C₂²	1	1	yes	characteristic
169	#11718326	C₂²	1	1	yes	characteristic
170	#11718325	C₂²	1	1	yes	characteristic
171	#11718325	C₂²	1	1	yes	characteristic, complemented
172	D₁₃×#95	C₂²	1	1	yes	characteristic
173	D₁₃×#95	C₂²	1	1	yes	characteristic
174	#11718316	C₂²	1	1	yes	characteristic, complemented
175	#11718316	C₂²	1	1	yes	characteristic, complemented
176	#11718315	C₂²	1	1	yes	characteristic, complemented
177	#11718315	C₂²	1	1	yes	characteristic, complemented
178	#11718314	C₂²	1	1	yes	characteristic, complemented
179	#11718314	C₂²	1	1	yes	characteristic, complemented
180	#11718312	C₂²	1	1	yes	characteristic, complemented
181	#11718312	C₂²	1	1	yes	characteristic, complemented
182	#11718310	C₂²	1	1	yes	characteristic, complemented
183	#11718310	C₂²	1	1	yes	characteristic, complemented
184	#11718309	C₂²	1	1	yes	characteristic, complemented
185	#11718309	C₂²	1	1	yes	characteristic, complemented
186	#11718309	C₂²	1	1	yes	characteristic, complemented
187	#11718309	C₂²	1	1	yes	characteristic, complemented
188	C₂⁴×D₁₃	C₂³	1	1	yes	characteristic
189	C₂²×Q₈×C₁₃	C₂³	1	1	yes	characteristic
190	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
191	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
192	C₂³×C₄×C₁₃	C₂³	1	1	yes	characteristic
193	C₂²×C₂²⋊D₁₃	C₂³	1	1	yes	characteristic
194	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
195	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
196	C₂³×Dic₁₃	C₂³	1	1	yes	characteristic
197	C₂²×D₅₂	C₂³	1	1	yes	characteristic
198	C₂²×D₅₂	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₁₃	—	2	4	no	—
200	C₂²×C₄×D₁₃	—	2	4	no	—
201	C₂²×C₄×D₁₃	—	4	2	no	—
202	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
210	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
211	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₁₃	C₂³	1	1	yes	characteristic
213	C₁₃×C₂²⋊Q₈	C₂×C₄	1	8	yes	complemented
214	C₄×Q₈×C₁₃	—	4	2	no	—
215	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×C₁₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
227	C₂×C₁₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₄²×C₁₃	—	4	2	no	—
229	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
230	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
231	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
232	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
233	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
234	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
235	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
236	C₂×C₄²×C₁₃	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₁₃	C₂³	1	1	yes	characteristic
240	#88201	C₂×C₄	1	8	yes	complemented
241	#88200	C₂×C₄	1	8	yes	complemented
242	C₄×C₂²⋊D₁₃	—	2	4	no	—
243	C₄×C₂²⋊D₁₃	—	2	4	no	—
244	C₄×C₂²⋊D₁₃	C₂×C₄	1	8	yes	complemented
245	C₂×#6103	—	2	4	no	—
246	C₂×#6103	C₂×C₄	1	8	yes	complemented
247	C₂×#6103	C₂³	1	1	yes	characteristic
248	C₂×#6103	C₂³	1	1	yes	characteristic
249	C₂×#6103	C₂³	1	1	yes	characteristic
250	C₂×#6103	C₂³	1	1	yes	characteristic
251	C₂×#6103	C₂³	1	1	yes	characteristic
252	C₂×#6103	C₂³	1	1	yes	characteristic
253	C₂×#6103	C₂³	1	1	yes	characteristic
254	C₂×#6103	C₂³	1	1	yes	characteristic
255	C₂×#6103	C₂³	1	1	yes	characteristic
256	C₂×#6103	C₂³	1	1	yes	characteristic
257	C₂×#6103	C₂³	1	1	yes	characteristic
258	C₂×#6103	C₂³	1	1	yes	characteristic
259	C₂×#6103	C₂³	1	1	yes	characteristic
260	C₂×#6103	C₂³	1	1	yes	characteristic
261	C₂×#6103	C₂³	1	1	yes	characteristic
262	C₂×#6103	C₂³	1	1	yes	characteristic
263	C₂×#6103	C₂³	1	1	yes	characteristic
264	C₂×#6103	C₂³	1	1	yes	characteristic
265	C₂×#6103	C₂³	1	1	yes	characteristic
266	C₂×#6103	C₂³	1	1	yes	characteristic
267	C₂×#6103	C₂³	1	1	yes	characteristic
268	C₂×#6103	C₂³	1	1	yes	characteristic
269	C₂×#6103	C₂³	1	1	yes	characteristic
270	C₂×#6103	C₂³	1	1	yes	characteristic
271	C₂×#6103	C₂³	1	1	yes	characteristic
272	C₂×#6103	C₂³	1	1	yes	characteristic
273	C₂×#6103	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊Dic₁₃	C₂³	1	1	yes	characteristic
280	C₂×#6101	C₂³	1	1	yes	characteristic
281	C₂×#6101	C₂³	1	1	yes	characteristic
282	C₂×#6101	C₂³	1	1	yes	characteristic
283	C₂×#6101	C₂³	1	1	yes	characteristic
284	C₂×#6101	C₂³	1	1	yes	characteristic
285	C₂×#6101	C₂³	1	1	yes	characteristic
286	C₂×#6101	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₁₃	—	2	4	no	—
288	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
302	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
303	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
304	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
305	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
306	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
308	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
309	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
310	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₁₃	C₂³	1	1	yes	characteristic
313	#88152	C₂×C₄	1	8	yes	complemented
314	#88152	C₂×C₄	1	8	yes	complemented
315	#88148	C₂×C₄	1	8	yes	complemented
316	#88148	C₂×C₄	1	8	yes	complemented
317	#88147	—	2	4	no	—
318	#88147	C₂×C₄	1	8	yes	complemented
319	#88146	—	2	4	no	—
320	#88146	C₂×C₄	1	8	yes	complemented
321	#88140	C₂×C₄	1	8	yes	complemented
322	#88136	C₂×C₄	1	8	yes	—
323	C₂²⋊C₄×D₁₃	—	2	4	no	—
324	C₂²⋊C₄×D₁₃	C₂×C₄	1	8	yes	complemented
325	#88131	—	2	4	no	—
326	#88131	C₂×C₄	1	8	yes	complemented
327	C₄×D₅₂	—	2	4	no	—
328	C₄×D₅₂	—	4	2	no	—
329	C₄²×D₁₃	—	2	4	no	—
330	C₄²×D₁₃	—	4	2	no	—
331	C₄²×D₁₃	—	4	2	no	—
332	C₁₃×#95	C₂³	1	1	yes	characteristic
333	C₁₃×#95	C₂³	1	1	yes	characteristic
334	C₁₃×#95	C₂³	1	1	yes	characteristic
335	C₁₃×#95	C₂³	1	1	yes	characteristic
336	C₁₃×#95	C₂³	1	1	yes	characteristic
337	C₁₃×#95	C₂³	1	1	yes	characteristic
338	C₁₃×#95	C₂³	1	1	yes	characteristic
339	C₁₃×#95	C₂³	1	1	yes	characteristic
340	C₁₃×#95	C₂³	1	1	yes	characteristic
341	C₁₃×#95	C₂³	1	1	yes	characteristic
342	#88071	C₂³	1	1	yes	characteristic
343	#88071	C₂³	1	1	yes	characteristic
344	#88071	C₂³	1	1	yes	characteristic
345	#88071	C₂³	1	1	yes	characteristic
346	#88071	C₂³	1	1	yes	characteristic
347	#88071	C₂³	1	1	yes	characteristic
348	#88071	C₂³	1	1	yes	characteristic
349	#88071	C₂³	1	1	yes	characteristic
350	#88071	C₂³	1	1	yes	characteristic
351	#88071	C₂³	1	1	yes	characteristic
352	#88071	C₂³	1	1	yes	characteristic
353	#88071	C₂³	1	1	yes	characteristic
354	#88071	C₂³	1	1	yes	characteristic
355	#88071	C₂³	1	1	yes	characteristic
356	#88071	C₂³	1	1	yes	characteristic
357	#88071	C₂³	1	1	yes	characteristic
358	#88071	C₂³	1	1	yes	characteristic
359	#88071	C₂³	1	1	yes	characteristic
360	#88071	C₂³	1	1	yes	characteristic
361	#88071	C₂³	1	1	yes	characteristic
362	#88071	C₂³	1	1	yes	characteristic
363	#88071	C₂³	1	1	yes	characteristic
364	#88071	C₂³	1	1	yes	characteristic
365	#88071	C₂³	1	1	yes	characteristic
366	#88071	C₂³	1	1	yes	characteristic
367	#88071	C₂³	1	1	yes	characteristic
368	#88071	C₂³	1	1	yes	characteristic
369	#88071	C₂³	1	1	yes	characteristic
370	#88071	C₂³	1	1	yes	characteristic
371	#88071	C₂³	1	1	yes	characteristic
372	#88071	C₂³	1	1	yes	characteristic
373	#88071	C₂³	1	1	yes	characteristic
374	#88071	C₂³	1	1	yes	characteristic
375	#88071	C₂³	1	1	yes	characteristic
376	C₄×#551	—	13	1	no	maximal, Sylow
377	C₂⁴×C₁₃	C₂⁴	1	1	yes	characteristic
378	C₂³×D₁₃	—	2	2	no	—
379	C₂³×D₁₃	—	2	2	no	—
380	C₂³×D₁₃	—	2	2	no	—
381	C₂³×D₁₃	—	2	2	no	—
382	C₂³×D₁₃	—	4	1	no	—
383	C₂³×D₁₃	—	4	1	no	—
384	C₂³×D₁₃	C₂²×C₄	1	4	yes	—
385	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
386	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
387	C₂³×D₁₃	C₂⁴	1	1	yes	characteristic
388	C₂×Q₈×C₁₃	—	4	1	no	—
389	C₂×Q₈×C₁₃	—	4	1	no	—
390	C₂×Q₈×C₁₃	C₂²×C₄	1	4	yes	complemented
391	C₂²×C₄×C₁₃	—	2	2	no	—
392	C₂²×C₄×C₁₃	—	2	2	no	—
393	C₂²×C₄×C₁₃	—	2	2	no	—
394	C₂²×C₄×C₁₃	—	2	2	no	—
395	C₂²×C₄×C₁₃	—	4	1	no	—
396	C₂²×C₄×C₁₃	—	4	1	no	—
397	C₂²×C₄×C₁₃	—	4	1	no	—
398	C₂²×C₄×C₁₃	C₂²×C₄	1	4	yes	—
399	C₂²×C₄×C₁₃	#41	1	4	yes	—
400	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₁₃	C₂⁴	1	1	yes	characteristic
414	C₂×C₂²⋊D₁₃	—	2	2	no	—
415	C₂×C₂²⋊D₁₃	—	2	2	no	—
416	C₂×C₂²⋊D₁₃	C₂²×C₄	1	4	yes	—
417	C₂²×Dic₁₃	—	2	2	no	—
418	C₂²×Dic₁₃	—	2	2	no	—
419	C₂²×Dic₁₃	—	2	2	no	—
420	C₂²×Dic₁₃	—	2	2	no	—
421	C₂²×Dic₁₃	—	2	2	no	—
422	C₂²×Dic₁₃	—	2	2	no	—
423	C₂²×Dic₁₃	—	4	1	no	—
424	C₂²×Dic₁₃	—	4	1	no	—
425	C₂²×Dic₁₃	C₂²×C₄	1	4	yes	—
426	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
430	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
432	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
434	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
435	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
436	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
437	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
438	C₂²×Dic₁₃	C₂⁴	1	1	yes	characteristic
439	C₂×D₅₂	—	2	2	no	—
440	C₂×D₅₂	—	2	2	no	—
441	C₂×D₅₂	—	4	1	no	—
442	C₂×D₅₂	—	4	1	no	—
443	C₂×D₅₂	C₂²×C₄	1	4	yes	—
444	C₂×D₅₂	C₂²×C₄	1	4	yes	—
445	C₂×C₄×D₁₃	—	2	2	no	—
446	C₂×C₄×D₁₃	—	2	2	no	—
447	C₂×C₄×D₁₃	—	2	2	no	—
448	C₂×C₄×D₁₃	—	2	2	no	—
449	C₂×C₄×D₁₃	—	2	2	no	—
450	C₂×C₄×D₁₃	—	2	2	no	—
451	C₂×C₄×D₁₃	—	2	2	no	—
452	C₂×C₄×D₁₃	—	2	2	no	—
453	C₂×C₄×D₁₃	—	2	2	no	—
454	C₂×C₄×D₁₃	—	2	2	no	—
455	C₂×C₄×D₁₃	—	2	2	no	—
456	C₂×C₄×D₁₃	—	2	2	no	—
457	C₂×C₄×D₁₃	—	2	2	no	—
458	C₂×C₄×D₁₃	—	2	2	no	—
459	C₂×C₄×D₁₃	—	2	2	no	—
460	C₂×C₄×D₁₃	—	2	2	no	—
461	C₂×C₄×D₁₃	—	2	2	no	—
462	C₂×C₄×D₁₃	—	2	2	no	—
463	C₂×C₄×D₁₃	—	2	2	no	—
464	C₂×C₄×D₁₃	—	2	2	no	—
465	C₂×C₄×D₁₃	—	4	16	no	—
466	C₂×C₄×D₁₃	—	4	1	no	—
467	C₂×C₄×D₁₃	—	4	1	no	—
468	C₂×C₄×D₁₃	—	4	1	no	—
469	C₂×C₄×D₁₃	—	4	1	no	—
470	C₂×C₄×D₁₃	—	4	1	no	—
471	C₂×C₄×D₁₃	—	4	1	no	—
472	C₂×C₄×D₁₃	—	4	1	no	—
473	C₂×C₄×D₁₃	—	4	1	no	—
474	C₂×C₄×D₁₃	—	4	1	no	—
475	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
476	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	—
477	C₂×C₄×D₁₃	C₂²×C₄	1	4	yes	complemented
478	C₂×C₄×D₁₃	#41	1	4	yes	—
479	C₁₃×C₄⋊C₄	—	2	2	no	—
480	C₁₃×C₄⋊C₄	—	2	2	no	—
481	C₁₃×C₄⋊C₄	—	4	1	no	—
482	C₁₃×C₄⋊C₄	—	4	1	no	—
483	C₁₃×C₄⋊C₄	—	4	1	no	—
484	C₁₃×C₄⋊C₄	—	4	1	no	—
485	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
486	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
487	C₁₃×C₄⋊C₄	C₂²×C₄	1	4	yes	complemented
488	C₁₃×C₂²⋊C₄	—	2	2	no	—
489	C₁₃×C₂²⋊C₄	—	2	2	no	—
490	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
491	C₁₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
492	C₄²×C₁₃	—	2	2	no	—
493	C₄²×C₁₃	—	2	2	no	—
494	C₄²×C₁₃	—	2	2	no	—
495	C₄²×C₁₃	—	2	2	no	—
496	C₄²×C₁₃	—	2	2	no	—
497	C₄²×C₁₃	—	2	2	no	—
498	C₄²×C₁₃	—	4	1	no	—
499	C₄²×C₁₃	—	4	1	no	—
500	C₂²⋊Dic₁₃	—	2	2	no	—
501	C₂²⋊Dic₁₃	C₂²×C₄	1	4	yes	—
502	C₂²⋊Dic₁₃	#41	1	4	yes	—
503	#6103	—	2	2	no	—
504	#6103	—	2	2	no	—
505	#6103	—	2	2	no	—
506	#6103	—	2	2	no	—
507	#6103	—	2	2	no	—
508	#6103	—	2	2	no	—
509	#6103	—	2	2	no	—
510	#6103	—	2	2	no	—
511	#6103	—	2	2	no	—
512	#6103	—	2	2	no	—
513	#6103	—	2	2	no	—
514	#6103	—	4	1	no	—
515	#6103	—	4	1	no	—
516	#6103	—	4	1	no	—
517	#6103	—	4	1	no	—
518	#6103	C₂²×C₄	1	4	yes	—
519	#6103	C₂²×C₄	1	4	yes	—
520	#6103	C₂²×C₄	1	4	yes	—
521	#6103	C₂²×C₄	1	4	yes	—
522	#6103	C₂²×C₄	1	4	yes	—
523	#6103	C₂²×C₄	1	4	yes	—
524	#6103	C₂²×C₄	1	4	yes	—
525	#6103	C₂²×C₄	1	4	yes	—
526	#6103	C₂²×C₄	1	4	yes	complemented
527	#6103	C₂²×C₄	1	4	yes	complemented
528	#6103	C₂²×C₄	1	4	yes	complemented
529	#6103	#41	1	4	yes	—
530	C₄⋊Dic₁₃	—	2	2	no	—
531	C₄⋊Dic₁₃	—	2	2	no	—
532	C₄⋊Dic₁₃	—	4	1	no	—
533	C₄⋊Dic₁₃	—	4	1	no	—
534	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	complemented
535	C₄⋊Dic₁₃	C₂²×C₄	1	4	yes	complemented
536	#6101	—	2	2	no	—
537	#6101	—	2	2	no	—
538	#6101	—	2	2	no	—
539	#6101	—	2	2	no	—
540	#6101	C₂²×C₄	1	4	yes	complemented
541	#6101	C₂²×C₄	1	4	yes	complemented
542	#6101	C₂²×C₄	1	4	yes	complemented
543	C₄×Dic₁₃	—	2	2	no	—
544	C₄×Dic₁₃	—	2	2	no	—
545	C₄×Dic₁₃	—	2	2	no	—
546	C₄×Dic₁₃	—	2	2	no	—
547	C₄×Dic₁₃	—	2	2	no	—
548	C₄×Dic₁₃	—	2	2	no	—
549	C₄×Dic₁₃	—	2	2	no	—
550	C₄×Dic₁₃	—	2	2	no	—
551	C₄×Dic₁₃	—	2	2	no	—
552	C₄×Dic₁₃	—	2	2	no	—
553	C₄×Dic₁₃	—	2	2	no	—
554	C₄×Dic₁₃	—	2	2	no	—
555	C₄×Dic₁₃	—	2	2	no	—
556	C₄×Dic₁₃	—	2	2	no	—
557	C₄×Dic₁₃	—	2	2	no	—
558	C₄×Dic₁₃	—	4	1	no	—
559	C₄×Dic₁₃	—	4	1	no	—
560	C₄×Dic₁₃	—	4	1	no	—
561	C₄×Dic₁₃	—	4	1	no	—
562	C₄×Dic₁₃	—	4	1	no	—
563	C₄×Dic₁₃	—	4	1	no	—
564	C₄×Dic₁₃	—	4	1	no	—
565	C₄×Dic₁₃	C₂²×C₄	1	4	yes	complemented
566	C₄×Dic₁₃	C₂²×C₄	1	4	yes	complemented
567	C₄×Dic₁₃	C₂²×C₄	1	4	yes	complemented
568	C₂×#551	—	13	1	no	—
569	#2374	—	13	1	no	—
570	#2373	—	13	1	no	—
571	#2373	—	13	1	no	—
572	#2372	—	13	1	no	—
573	#2368	—	13	1	no	—
574	#2368	—	13	1	no	—
575	#2359	—	13	1	no	—
576	#2359	—	13	1	no	—
577	#2358	—	13	1	no	—
578	#2353	—	13	1	no	—
579	#2353	—	13	1	no	—
580	#2343	—	13	1	no	—
581	#2343	—	13	1	no	—
582	#2342	—	13	1	no	—
583	#2342	—	13	1	no	—
584	C₄×#126	—	13	1	no	—
585	C₄×#126	—	13	1	no	—
586	C₄×#124	—	13	1	no	—
587	C₄×C₂²⋊Q₈	—	13	1	no	—
588	C₄×C₂²⋊Q₈	D₁₃	1	1	yes	characteristic, complemented
589	C₄×#123	—	13	1	no	—
590	C₄×#123	—	13	1	no	—
591	C₄×#123	—	13	1	no	—
592	C₄×#120	—	13	1	no	—
593	C₄²×D₄	—	13	1	no	—
594	C₄²×D₄	—	13	1	no	—
595	C₄×#117	—	13	1	no	—
596	C₄×#117	—	13	1	no	—
597	C₂×C₄×C₂²⋊C₄	—	13	1	no	—
598	C₂×C₄×C₂²⋊C₄	—	13	1	no	—
599	C₂³×C₁₃	—	2	1	no	—
600	C₂³×C₁₃	—	2	1	no	—
601	C₂³×C₁₃	—	2	1	no	—
602	C₂³×C₁₃	—	2	1	no	—
603	C₂³×C₁₃	C₂³×C₄	1	2	yes	—
604	C₂³×C₁₃	C₂×#41	1	2	yes	—
605	C₂³×C₁₃	C₂×#41	1	2	yes	—
606	C₂³×C₁₃	C₂⁵	1	1	yes	characteristic
607	C₂²×D₁₃	—	2	1	no	—
608	C₂²×D₁₃	—	2	1	no	—
609	C₂²×D₁₃	—	2	1	no	—
610	C₂²×D₁₃	—	2	1	no	—
611	C₂²×D₁₃	—	2	8	no	—
612	C₂²×D₁₃	—	2	1	no	—
613	C₂²×D₁₃	—	2	1	no	—
614	C₂²×D₁₃	—	2	1	no	—
615	C₂²×D₁₃	—	2	1	no	—
616	C₂²×D₁₃	—	2	1	no	—
617	C₂²×D₁₃	—	2	1	no	—
618	C₂²×D₁₃	—	2	1	no	—
619	C₂²×D₁₃	—	2	1	no	—
620	C₂²×D₁₃	—	2	1	no	—
621	C₂²×D₁₃	—	2	1	no	—
622	C₂²×D₁₃	—	2	1	no	—
623	C₂²×D₁₃	—	2	1	no	—
624	C₂²×D₁₃	—	2	8	no	—
625	C₂²×D₁₃	—	4	4	no	—
626	C₂²×D₁₃	—	4	4	no	—
627	C₂²×D₁₃	—	4	4	no	—
628	C₂²×D₁₃	—	4	4	no	—
629	C₂²×D₁₃	—	4	4	no	—
630	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
631	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
632	C₂²×D₁₃	C₂³×C₄	1	2	yes	—
633	C₂²×D₁₃	C₂×#41	1	2	yes	—
634	C₂²×D₁₃	C₂×#41	1	2	yes	—
635	Q₈×C₁₃	—	4	4	no	—
636	C₂×C₄×C₁₃	—	2	1	no	—
637	C₂×C₄×C₁₃	—	2	1	no	—
638	C₂×C₄×C₁₃	—	2	1	no	—
639	C₂×C₄×C₁₃	—	2	1	no	—
640	C₂×C₄×C₁₃	—	2	1	no	—
641	C₂×C₄×C₁₃	—	2	1	no	—
642	C₂×C₄×C₁₃	—	2	1	no	—
643	C₂×C₄×C₁₃	—	2	1	no	—
644	C₂×C₄×C₁₃	—	2	1	no	—
645	C₂×C₄×C₁₃	—	2	1	no	—
646	C₂×C₄×C₁₃	—	2	1	no	—
647	C₂×C₄×C₁₃	—	2	1	no	—
648	C₂×C₄×C₁₃	—	2	1	no	—
649	C₂×C₄×C₁₃	—	2	1	no	—
650	C₂×C₄×C₁₃	—	2	1	no	—
651	C₂×C₄×C₁₃	—	2	1	no	—
652	C₂×C₄×C₁₃	—	2	8	no	—
653	C₂×C₄×C₁₃	—	2	1	no	—
654	C₂×C₄×C₁₃	—	2	1	no	—
655	C₂×C₄×C₁₃	—	2	1	no	—
656	C₂×C₄×C₁₃	—	2	1	no	—
657	C₂×C₄×C₁₃	—	2	1	no	—
658	C₂×C₄×C₁₃	—	2	1	no	—
659	C₂×C₄×C₁₃	—	2	1	no	—
660	C₂×C₄×C₁₃	—	2	1	no	—
661	C₂×C₄×C₁₃	—	2	1	no	—
662	C₂×C₄×C₁₃	—	2	1	no	—
663	C₂×C₄×C₁₃	—	2	1	no	—
664	C₂×C₄×C₁₃	—	2	1	no	—
665	C₂×C₄×C₁₃	—	2	1	no	—
666	C₂×C₄×C₁₃	—	2	1	no	—
667	C₂×C₄×C₁₃	—	2	1	no	—
668	C₂×C₄×C₁₃	—	4	4	no	—
669	C₂×C₄×C₁₃	—	4	4	no	—
670	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
671	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
672	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
673	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
674	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
675	C₂×C₄×C₁₃	C₂³×C₄	1	2	yes	—
676	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
677	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
678	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
679	C₂×C₄×C₁₃	C₂×#41	1	2	yes	—
680	C₂×C₄×C₁₃	H(5,𝔽₂)	1	2	yes	—
681	C₂²⋊D₁₃	—	2	8	no	—
682	C₂×Dic₁₃	—	2	8	no	—
683	C₂×Dic₁₃	—	2	1	no	—
684	C₂×Dic₁₃	—	2	1	no	—
685	C₂×Dic₁₃	—	2	1	no	—
686	C₂×Dic₁₃	—	2	1	no	—
687	C₂×Dic₁₃	—	2	1	no	—
688	C₂×Dic₁₃	—	2	1	no	—
689	C₂×Dic₁₃	—	2	1	no	—
690	C₂×Dic₁₃	—	2	1	no	—
691	C₂×Dic₁₃	—	2	1	no	—
692	C₂×Dic₁₃	—	2	1	no	—
693	C₂×Dic₁₃	—	2	1	no	—
694	C₂×Dic₁₃	—	2	1	no	—
695	C₂×Dic₁₃	—	2	1	no	—
696	C₂×Dic₁₃	—	2	1	no	—
697	C₂×Dic₁₃	—	2	1	no	—
698	C₂×Dic₁₃	—	2	1	no	—
699	C₂×Dic₁₃	—	2	1	no	—
700	C₂×Dic₁₃	—	2	1	no	—
701	C₂×Dic₁₃	—	2	1	no	—
702	C₂×Dic₁₃	—	2	1	no	—
703	C₂×Dic₁₃	—	2	1	no	—
704	C₂×Dic₁₃	—	2	1	no	—
705	C₂×Dic₁₃	—	2	1	no	—
706	C₂×Dic₁₃	—	2	1	no	—
707	C₂×Dic₁₃	—	2	1	no	—
708	C₂×Dic₁₃	—	2	1	no	—
709	C₂×Dic₁₃	—	2	1	no	—
710	C₂×Dic₁₃	—	2	1	no	—
711	C₂×Dic₁₃	—	2	1	no	—
712	C₂×Dic₁₃	—	2	1	no	—
713	C₂×Dic₁₃	—	4	4	no	—
714	C₂×Dic₁₃	—	4	4	no	—
715	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
716	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
717	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
718	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
719	C₂×Dic₁₃	C₂³×C₄	1	2	yes	—
720	C₂×Dic₁₃	C₂×#41	1	2	yes	—
721	C₂×Dic₁₃	C₂×#41	1	2	yes	—
722	C₂×Dic₁₃	C₂×#41	1	2	yes	—
723	C₂×Dic₁₃	C₂×#41	1	2	yes	—
724	D₅₂	—	2	8	no	—
725	D₅₂	—	4	4	no	—
726	C₄×D₁₃	—	2	8	no	—
727	C₄×D₁₃	—	2	8	no	—
728	C₄×D₁₃	—	4	4	no	—
729	C₄×D₁₃	—	4	4	no	—
730	C₄×D₁₃	—	4	4	no	—
731	C₄×D₁₃	—	4	4	no	—
732	C₄×D₁₃	—	4	4	no	—
733	C₄×D₁₃	—	4	4	no	—
734	C₄×D₁₃	—	4	4	no	—
735	C₄×D₁₃	—	4	4	no	—
736	C₄×D₁₃	—	4	4	no	—
737	C₂⁴×C₄	—	13	1	no	—
738	#551	—	13	16	no	—
739	C₂×#126	—	13	1	no	—
740	C₂×#126	—	13	1	no	—
741	C₂×#124	—	13	1	no	—
742	C₂×#123	—	13	1	no	—
743	C₂×#123	—	13	1	no	—
744	C₂×#123	—	13	1	no	—
745	C₂×C₂²⋊Q₈	—	13	1	no	—
746	C₂×C₂²⋊Q₈	C₂×D₁₃	1	1	yes	characteristic
747	C₂×#120	—	13	1	no	—
748	C₂×C₄×Q₈	C₂×D₁₃	1	1	yes	characteristic, complemented
749	C₂×C₄×D₄	—	13	1	no	—
750	C₂×C₄×D₄	—	13	1	no	—
751	C₂×C₄×D₄	—	13	1	no	—
752	C₂×C₄×D₄	—	13	1	no	—
753	C₂×C₄×D₄	—	13	1	no	—
754	C₂×C₄×D₄	—	13	1	no	—
755	C₂×C₄×D₄	—	13	1	no	—
756	C₂×#117	—	13	1	no	—
757	C₂×#117	—	13	1	no	—
758	C₂×#117	—	13	1	no	—
759	C₂×#117	—	13	1	no	—
760	C₂²×C₂²⋊C₄	—	13	1	no	—
761	C₂²×C₂²⋊C₄	—	13	1	no	—
762	C₂²×C₂²⋊C₄	—	13	1	no	—
763	C₂²×C₂²⋊C₄	—	13	1	no	—
764	C₂²×C₄²	—	13	1	no	—
765	C₂²×C₄²	—	13	1	no	—
766	C₂²×C₄²	—	13	1	no	—
767	C₂²×C₄²	—	13	1	no	—
768	C₂²×C₄²	C₂×D₁₃	1	1	yes	characteristic
769	#391	—	13	1	no	—
770	#391	—	13	1	no	—
771	#391	C₂×D₁₃	1	1	yes	characteristic, complemented
772	#390	—	13	1	no	—
773	#389	—	13	1	no	—
774	#389	C₂×D₁₃	1	1	yes	characteristic, complemented
775	#388	—	13	1	no	—
776	#388	—	13	1	no	—
777	#388	—	13	1	no	—
778	#388	—	13	1	no	—
779	#388	—	13	1	no	—
780	#388	—	13	1	no	—
781	#388	—	13	1	no	—
782	#388	—	13	1	no	—
783	#388	—	13	1	no	—
784	#388	—	13	1	no	—
785	#388	—	13	1	no	—
786	#388	—	13	1	no	—
787	#388	—	13	1	no	—
788	#388	—	13	1	no	—
789	#388	—	13	1	no	—
790	#388	—	13	1	no	—
791	#387	—	13	1	no	—
792	#387	—	13	1	no	—
793	#387	—	13	1	no	—
794	#387	—	13	1	no	—
795	#387	—	13	1	no	—
796	#387	—	13	1	no	—
797	#387	—	13	1	no	—
798	#387	—	13	1	no	—
799	#387	—	13	1	no	—
800	#387	—	13	1	no	—
801	#387	—	13	1	no	—
802	#387	—	13	1	no	—
803	#387	—	13	1	no	—
804	#387	—	13	1	no	—
805	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
806	#387	C₂×D₁₃	1	1	yes	characteristic, complemented
807	#386	—	13	1	no	—
808	#386	—	13	1	no	—
809	#386	—	13	1	no	—
810	#386	—	13	1	no	—
811	#386	—	13	1	no	—
812	#386	—	13	1	no	—
813	#385	—	13	1	no	—
814	#385	—	13	1	no	—
815	#385	—	13	1	no	—
816	#385	—	13	1	no	—
817	#385	—	13	1	no	—
818	#385	—	13	1	no	—
819	#385	—	13	1	no	—
820	#385	—	13	1	no	—
821	#385	C₂×D₁₃	1	1	yes	characteristic
822	#385	C₂×D₁₃	1	1	yes	characteristic
823	#383	—	13	1	no	—
824	#383	—	13	1	no	—
825	#382	—	13	1	no	—
826	#381	—	13	1	no	—
827	#381	—	13	1	no	—
828	#381	—	13	1	no	—
829	#380	—	13	1	no	—
830	#380	C₂×D₁₃	1	1	yes	characteristic
831	#379	—	13	1	no	—
832	C₄×C₄⋊C₄	—	13	1	no	—
833	C₄×C₄⋊C₄	—	13	1	no	—
834	C₄×C₄⋊C₄	—	13	1	no	—
835	C₄×C₄⋊C₄	—	13	1	no	—
836	C₄×C₄⋊C₄	—	13	1	no	—
837	C₄×C₄⋊C₄	—	13	1	no	—
838	C₄×C₄⋊C₄	—	13	1	no	—
839	C₄×C₄⋊C₄	—	13	1	no	—
840	C₄×C₄⋊C₄	—	13	1	no	—
841	C₄×C₄⋊C₄	—	13	1	no	—
842	C₄×C₄⋊C₄	—	13	1	no	—
843	C₄×C₄⋊C₄	—	13	1	no	—
844	C₄×C₄⋊C₄	—	13	1	no	—
845	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
846	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
847	C₄×C₄⋊C₄	C₂×D₁₃	1	1	yes	characteristic, complemented
848	C₄×C₂²⋊C₄	—	13	1	no	—
849	C₄×C₂²⋊C₄	—	13	1	no	—
850	C₄×C₂²⋊C₄	—	13	1	no	—
851	C₄×C₂²⋊C₄	—	13	1	no	—
852	C₄×C₂²⋊C₄	—	13	1	no	—
853	C₄×C₂²⋊C₄	—	13	1	no	—
854	C₄×C₂²⋊C₄	—	13	1	no	—
855	C₄×C₂²⋊C₄	—	13	1	no	—
856	C₄×C₂²⋊C₄	—	13	1	no	—
857	C₄×C₂²⋊C₄	—	13	1	no	—
858	C₄×C₂²⋊C₄	—	13	1	no	—
859	C₄×C₂²⋊C₄	—	13	1	no	—
860	C₄×C₂²⋊C₄	—	13	1	no	—
861	C₄×C₂²⋊C₄	—	13	1	no	—
862	C₄×C₂²⋊C₄	—	13	1	no	—
863	C₄×C₂²⋊C₄	—	13	1	no	—
864	C₄×C₂²⋊C₄	—	13	1	no	—
865	C₄×C₂²⋊C₄	—	13	1	no	—
866	C₄×C₂²⋊C₄	—	13	1	no	—
867	C₄×C₂²⋊C₄	—	13	1	no	—
868	C₄×C₂²⋊C₄	—	13	1	no	—
869	C₄×C₂²⋊C₄	—	13	1	no	—
870	C₄×C₂²⋊C₄	—	13	1	no	—
871	C₄×C₂²⋊C₄	—	13	1	no	—
872	C₄×C₂²⋊C₄	—	13	1	no	—
873	C₄×C₂²⋊C₄	—	13	1	no	—
874	C₄×C₂²⋊C₄	—	13	1	no	—
875	C₄×C₂²⋊C₄	—	13	1	no	—
876	C₄×C₂²⋊C₄	—	13	1	no	—
877	C₄×C₂²⋊C₄	—	13	1	no	—
878	C₄×C₂²⋊C₄	—	13	1	no	—
879	C₄×C₂²⋊C₄	—	13	1	no	—
880	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
881	C₄×C₂²⋊C₄	C₂×D₁₃	1	1	yes	characteristic
882	#376	—	13	1	no	—
883	#376	—	13	1	no	—
884	#376	—	13	1	no	—
885	#376	—	13	1	no	—
886	C₂×#95	—	13	1	no	—
887	C₂×#95	—	13	1	no	—
888	C₂×#95	—	13	1	no	—
889	C₂×#95	—	13	1	no	—
890	C₄³	—	13	1	no	—
891	C₄³	—	13	1	no	—
892	C₄³	—	13	1	no	—
893	C₂²×C₁₃	—	2	2	no	—
894	C₂²×C₁₃	—	2	2	no	—
895	C₂²×C₁₃	—	2	2	no	—
896	C₂²×C₁₃	—	2	2	no	—
897	C₂²×C₁₃	—	2	2	no	—
898	C₂²×C₁₃	—	2	2	no	—
899	C₂²×C₁₃	C₄×#41	1	4	yes	—
900	C₂²×C₁₃	C₂⁴×C₄	1	1	yes	characteristic
901	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
902	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
903	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
904	C₂²×C₁₃	C₂²×#41	1	1	yes	characteristic
905	C₂²×C₁₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
906	C₂²×C₁₃	#585	1	1	yes	characteristic
907	C₂×D₁₃	—	2	2	no	—
908	C₂×D₁₃	—	2	2	no	—
909	C₂×D₁₃	—	2	2	no	—
910	C₂×D₁₃	—	2	2	no	—
911	C₂×D₁₃	—	2	2	no	—
912	C₂×D₁₃	—	2	2	no	—
913	C₂×D₁₃	—	2	2	no	—
914	C₂×D₁₃	—	2	2	no	—
915	C₂×D₁₃	—	2	2	no	—
916	C₂×D₁₃	—	2	2	no	—
917	C₂×D₁₃	—	2	2	no	—
918	C₂×D₁₃	—	2	2	no	—
919	C₂×D₁₃	—	4	16	no	—
920	C₂×D₁₃	—	4	1	no	—
921	C₂×D₁₃	—	4	1	no	—
922	C₂×D₁₃	—	4	1	no	—
923	C₂×D₁₃	—	4	1	no	—
924	C₂×D₁₃	—	4	1	no	—
925	C₂×D₁₃	—	4	1	no	—
926	C₂×D₁₃	—	4	1	no	—
927	C₂×D₁₃	—	4	1	no	—
928	C₂×D₁₃	C₄×#41	1	4	yes	—
929	C₄×C₁₃	—	2	2	no	—
930	C₄×C₁₃	—	2	2	no	—
931	C₄×C₁₃	—	2	2	no	—
932	C₄×C₁₃	—	2	2	no	—
933	C₄×C₁₃	—	2	2	no	—
934	C₄×C₁₃	—	2	2	no	—
935	C₄×C₁₃	—	2	2	no	—
936	C₄×C₁₃	—	2	2	no	—
937	C₄×C₁₃	—	4	1	no	—
938	C₄×C₁₃	—	4	1	no	—
939	C₄×C₁₃	—	4	1	no	—
940	C₄×C₁₃	—	4	1	no	—
941	C₄×C₁₃	—	4	1	no	—
942	C₄×C₁₃	#551	1	4	yes	complemented
943	Dic₁₃	—	2	2	no	—
944	Dic₁₃	—	2	2	no	—
945	Dic₁₃	—	2	2	no	—
946	Dic₁₃	—	2	2	no	—
947	Dic₁₃	—	2	2	no	—
948	Dic₁₃	—	2	2	no	—
949	Dic₁₃	—	2	2	no	—
950	Dic₁₃	—	2	2	no	—
951	Dic₁₃	—	2	2	no	—
952	Dic₁₃	—	4	1	no	—
953	Dic₁₃	—	4	1	no	—
954	Dic₁₃	—	4	1	no	—
955	Dic₁₃	—	4	1	no	—
956	C₂⁵	—	13	1	no	—
957	C₂²×Q₈	C₂²×D₁₃	1	1	yes	characteristic
958	C₂²×D₄	—	13	1	no	—
959	C₂²×D₄	—	13	1	no	—
960	C₂²×D₄	—	13	1	no	—
961	C₂³×C₄	—	13	1	no	—
962	C₂³×C₄	—	13	1	no	—
963	C₂³×C₄	—	13	1	no	—
964	C₂³×C₄	—	13	1	no	—
965	C₂³×C₄	—	13	1	no	—
966	C₂³×C₄	—	13	1	no	—
967	C₂³×C₄	—	13	1	no	—
968	C₂³×C₄	—	13	1	no	—
969	C₂³×C₄	—	13	1	no	—
970	C₂³×C₄	—	13	1	no	—
971	C₂³×C₄	—	13	1	no	—
972	C₂³×C₄	—	13	1	no	—
973	C₂³×C₄	—	13	1	no	—
974	C₂³×C₄	—	13	1	no	—
975	C₂³×C₄	—	26	4	no	—
976	C₂³×C₄	—	26	4	no	—
977	C₂³×C₄	—	52	2	no	—
978	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
979	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
980	C₂³×C₄	C₂²×D₁₃	1	1	yes	characteristic
981	#126	—	13	8	no	—
982	#126	—	13	8	no	—
983	#124	—	13	8	no	—
984	#123	—	13	8	no	—
985	#123	—	13	8	no	—
986	#123	—	13	8	no	—
987	C₂²⋊Q₈	—	13	8	no	—
988	C₂²⋊Q₈	C₄×D₁₃	1	8	yes	complemented
989	#120	—	13	8	no	—
990	C₄×Q₈	—	4	2	no	—
991	C₄×D₄	—	13	8	no	—
992	C₄×D₄	—	13	8	no	—
993	C₄×D₄	—	26	4	no	—
994	C₄×D₄	—	26	4	no	—
995	C₄×D₄	—	26	4	no	—
996	C₄×D₄	—	26	4	no	—
997	C₄×D₄	—	52	2	no	—
998	#117	—	13	8	no	—
999	#117	—	13	8	no	—
1000	#117	—	26	4	no	—
1001	#117	—	26	4	no	—
1002	C₂×C₄⋊C₄	—	13	1	no	—
1003	C₂×C₄⋊C₄	—	13	1	no	—
1004	C₂×C₄⋊C₄	—	13	1	no	—
1005	C₂×C₄⋊C₄	—	13	1	no	—
1006	C₂×C₄⋊C₄	—	13	1	no	—
1007	C₂×C₄⋊C₄	—	13	1	no	—
1008	C₂×C₄⋊C₄	—	13	1	no	—
1009	C₂×C₄⋊C₄	—	13	1	no	—
1010	C₂×C₄⋊C₄	—	13	1	no	—
1011	C₂×C₄⋊C₄	—	13	1	no	—
1012	C₂×C₄⋊C₄	—	13	1	no	—
1013	C₂×C₄⋊C₄	—	13	1	no	—
1014	C₂×C₄⋊C₄	—	13	1	no	—
1015	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1016	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1017	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1018	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1019	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1020	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1021	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1022	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1023	C₂×C₄⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1024	C₂×C₂²⋊C₄	—	13	1	no	—
1025	C₂×C₂²⋊C₄	—	13	1	no	—
1026	C₂×C₂²⋊C₄	—	13	8	no	—
1027	C₂×C₂²⋊C₄	—	13	1	no	—
1028	C₂×C₂²⋊C₄	—	13	1	no	—
1029	C₂×C₂²⋊C₄	—	13	1	no	—
1030	C₂×C₂²⋊C₄	—	13	1	no	—
1031	C₂×C₂²⋊C₄	—	13	1	no	—
1032	C₂×C₂²⋊C₄	—	13	1	no	—
1033	C₂×C₂²⋊C₄	—	13	1	no	—
1034	C₂×C₂²⋊C₄	—	13	1	no	—
1035	C₂×C₂²⋊C₄	—	13	1	no	—
1036	C₂×C₂²⋊C₄	—	13	1	no	—
1037	C₂×C₂²⋊C₄	—	13	1	no	—
1038	C₂×C₂²⋊C₄	—	13	1	no	—
1039	C₂×C₂²⋊C₄	—	13	8	no	—
1040	C₂×C₂²⋊C₄	—	13	1	no	—
1041	C₂×C₂²⋊C₄	—	13	1	no	—
1042	C₂×C₂²⋊C₄	—	13	1	no	—
1043	C₂×C₂²⋊C₄	—	13	1	no	—
1044	C₂×C₂²⋊C₄	—	13	1	no	—
1045	C₂×C₂²⋊C₄	—	13	1	no	—
1046	C₂×C₂²⋊C₄	—	13	1	no	—
1047	C₂×C₂²⋊C₄	—	13	1	no	—
1048	C₂×C₂²⋊C₄	—	13	1	no	—
1049	C₂×C₂²⋊C₄	—	13	1	no	—
1050	C₂×C₂²⋊C₄	—	13	1	no	—
1051	C₂×C₂²⋊C₄	—	13	1	no	—
1052	C₂×C₂²⋊C₄	—	13	1	no	—
1053	C₂×C₂²⋊C₄	—	13	1	no	—
1054	C₂×C₂²⋊C₄	—	13	1	no	—
1055	C₂×C₂²⋊C₄	—	13	1	no	—
1056	C₂×C₂²⋊C₄	—	26	4	no	—
1057	C₂×C₂²⋊C₄	—	26	4	no	—
1058	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1059	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1060	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1061	C₂×C₂²⋊C₄	C₂²×D₁₃	1	1	yes	characteristic
1062	C₂×C₄²	—	4	2	no	—
1063	C₂×C₄²	—	13	1	no	—
1064	C₂×C₄²	—	13	1	no	—
1065	C₂×C₄²	—	13	1	no	—
1066	C₂×C₄²	—	13	1	no	—
1067	C₂×C₄²	—	13	1	no	—
1068	C₂×C₄²	—	13	1	no	—
1069	C₂×C₄²	—	13	1	no	—
1070	C₂×C₄²	—	13	1	no	—
1071	C₂×C₄²	—	13	1	no	—
1072	C₂×C₄²	—	13	1	no	—
1073	C₂×C₄²	—	13	1	no	—
1074	C₂×C₄²	—	13	1	no	—
1075	C₂×C₄²	—	13	1	no	—
1076	C₂×C₄²	—	13	1	no	—
1077	C₂×C₄²	—	13	1	no	—
1078	C₂×C₄²	—	13	1	no	—
1079	C₂×C₄²	—	13	1	no	—
1080	C₂×C₄²	—	13	1	no	—
1081	C₂×C₄²	—	13	1	no	—
1082	C₂×C₄²	—	13	1	no	—
1083	C₂×C₄²	—	13	1	no	—
1084	C₂×C₄²	—	13	1	no	—
1085	C₂×C₄²	—	13	1	no	—
1086	C₂×C₄²	—	13	1	no	—
1087	C₂×C₄²	—	13	1	no	—
1088	C₂×C₄²	—	26	4	no	—
1089	C₂×C₄²	—	26	4	no	—
1090	C₂×C₄²	—	52	2	no	—
1091	C₂×C₄²	—	52	2	no	—
1092	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1093	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1094	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1095	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1096	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1097	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1098	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1099	C₂×C₄²	C₂²×D₁₃	1	1	yes	characteristic
1100	#95	—	13	1	no	—
1101	#95	—	13	1	no	—
1102	#95	—	13	1	no	—
1103	#95	—	13	1	no	—
1104	#95	—	13	1	no	—
1105	#95	—	13	1	no	—
1106	#95	—	13	1	no	—
1107	#95	—	13	1	no	—
1108	#95	—	13	1	no	—
1109	#95	—	13	1	no	—
1110	#95	—	13	1	no	—
1111	#95	—	13	1	no	—
1112	#95	—	13	1	no	—
1113	#95	—	13	1	no	—
1114	#95	—	13	1	no	—
1115	#95	—	13	1	no	—
1116	#95	—	13	1	no	—
1117	#95	—	13	1	no	—
1118	#95	—	13	1	no	—
1119	#95	—	13	1	no	—
1120	#95	—	13	1	no	—
1121	#95	—	13	1	no	—
1122	#95	—	13	1	no	—
1123	#95	—	13	1	no	—
1124	#95	—	13	1	no	—
1125	#95	—	13	1	no	—
1126	#95	—	13	1	no	—
1127	#95	—	13	1	no	—
1128	#95	—	13	1	no	—
1129	#95	—	13	1	no	—
1130	#95	—	13	1	no	—
1131	#95	—	13	1	no	—
1132	#95	—	13	1	no	—
1133	#95	—	13	1	no	—
1134	#95	C₂²×D₁₃	1	1	yes	characteristic
1135	#95	C₂²×D₁₃	1	1	yes	characteristic
1136	#95	C₂²×D₁₃	1	1	yes	characteristic
1137	#95	C₂²×D₁₃	1	1	yes	characteristic
1138	#95	C₂²×D₁₃	1	1	yes	characteristic
1139	#95	C₂²×D₁₃	1	1	yes	characteristic
1140	#95	C₂²×D₁₃	1	1	yes	characteristic
1141	#95	C₂²×D₁₃	1	1	yes	characteristic
1142	#95	C₂²×D₁₃	1	1	yes	characteristic
1143	#95	C₂²×D₁₃	1	1	yes	characteristic
1144	C₂×C₁₃	—	2	4	no	—
1145	C₂×C₁₃	C₂×C₄×#41	1	1	yes	characteristic
1146	C₂×C₁₃	C₂×C₄×#41	1	1	yes	characteristic
1147	C₂×C₁₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1148	C₂×C₁₃	C₂×#551	1	1	yes	characteristic
1149	C₂×C₁₃	#3475	1	1	yes	characteristic
1150	C₂×C₁₃	#3475	1	1	yes	characteristic
1151	C₂×C₁₃	#3481	1	1	yes	characteristic
1152	D₁₃	—	2	4	no	—
1153	D₁₃	—	4	2	no	—
1154	D₁₃	—	4	2	no	—
1155	C₂⁴	—	13	1	no	—
1156	C₂⁴	—	13	1	no	—
1157	C₂⁴	—	13	1	no	—
1158	C₂⁴	—	13	4	no	—
1159	C₂⁴	—	26	2	no	—
1160	C₂⁴	—	26	2	no	—
1161	C₂⁴	—	26	2	no	—
1162	C₂⁴	—	26	2	no	—
1163	C₂⁴	—	52	1	no	—
1164	C₂⁴	—	52	1	no	—
1165	C₂⁴	C₂³×D₁₃	1	1	yes	characteristic
1166	C₂×Q₈	—	4	1	no	—
1167	C₂×Q₈	—	4	1	no	—
1168	C₂×Q₈	C₂×C₄×D₁₃	1	4	yes	complemented
1169	C₂×D₄	—	13	4	no	—
1170	C₂×D₄	—	13	4	no	—
1171	C₂×D₄	—	13	4	no	—
1172	C₂×D₄	—	26	2	no	—
1173	C₂×D₄	—	26	2	no	—
1174	C₂×D₄	—	26	2	no	—
1175	C₂×D₄	—	26	2	no	—
1176	C₂×D₄	—	52	1	no	—
1177	C₂×D₄	—	52	1	no	—
1178	C₂²×C₄	—	2	2	no	—
1179	C₂²×C₄	—	2	2	no	—
1180	C₂²×C₄	—	2	2	no	—
1181	C₂²×C₄	—	2	2	no	—
1182	C₂²×C₄	—	4	1	no	—
1183	C₂²×C₄	—	4	1	no	—
1184	C₂²×C₄	—	4	1	no	—
1185	C₂²×C₄	—	13	4	no	—
1186	C₂²×C₄	—	13	1	no	—
1187	C₂²×C₄	—	13	1	no	—
1188	C₂²×C₄	—	13	1	no	—
1189	C₂²×C₄	—	13	1	no	—
1190	C₂²×C₄	—	13	1	no	—
1191	C₂²×C₄	—	13	1	no	—
1192	C₂²×C₄	—	13	1	no	—
1193	C₂²×C₄	—	13	1	no	—
1194	C₂²×C₄	—	13	1	no	—
1195	C₂²×C₄	—	13	4	no	—
1196	C₂²×C₄	—	13	4	no	—
1197	C₂²×C₄	—	13	4	no	—
1198	C₂²×C₄	—	13	4	no	—
1199	C₂²×C₄	—	13	1	no	—
1200	C₂²×C₄	—	13	1	no	—
1201	C₂²×C₄	—	13	1	no	—
1202	C₂²×C₄	—	13	1	no	—
1203	C₂²×C₄	—	26	2	no	—
1204	C₂²×C₄	—	26	2	no	—
1205	C₂²×C₄	—	26	2	no	—
1206	C₂²×C₄	—	26	2	no	—
1207	C₂²×C₄	—	26	2	no	—
1208	C₂²×C₄	—	26	2	no	—
1209	C₂²×C₄	—	26	2	no	—
1210	C₂²×C₄	—	26	2	no	—
1211	C₂²×C₄	—	26	2	no	—
1212	C₂²×C₄	—	26	2	no	—
1213	C₂²×C₄	—	26	2	no	—
1214	C₂²×C₄	—	26	2	no	—
1215	C₂²×C₄	—	26	2	no	—
1216	C₂²×C₄	—	26	2	no	—
1217	C₂²×C₄	—	26	2	no	—
1218	C₂²×C₄	—	26	2	no	—
1219	C₂²×C₄	—	26	2	no	—
1220	C₂²×C₄	—	26	2	no	—
1221	C₂²×C₄	—	26	2	no	—
1222	C₂²×C₄	—	26	2	no	—
1223	C₂²×C₄	—	26	2	no	—
1224	C₂²×C₄	—	26	2	no	—
1225	C₂²×C₄	—	26	2	no	—
1226	C₂²×C₄	—	26	2	no	—
1227	C₂²×C₄	—	26	2	no	—
1228	C₂²×C₄	—	26	2	no	—
1229	C₂²×C₄	—	52	1	no	—
1230	C₂²×C₄	—	52	1	no	—
1231	C₂²×C₄	—	52	1	no	—
1232	C₂²×C₄	—	52	1	no	—
1233	C₂²×C₄	—	52	1	no	—
1234	C₂²×C₄	—	52	1	no	—
1235	C₂²×C₄	—	52	1	no	—
1236	C₂²×C₄	—	52	1	no	—
1237	C₂²×C₄	—	52	1	no	—
1238	C₂²×C₄	—	52	16	no	—
1239	C₂²×C₄	—	52	1	no	—
1240	C₂²×C₄	—	52	1	no	—
1241	C₂²×C₄	C₂×C₄×D₁₃	1	4	yes	—
1242	C₂²×C₄	#6131	1	4	yes	—
1243	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1244	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1245	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1246	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1247	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1248	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1249	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1250	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1251	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1252	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1253	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1254	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1255	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1256	C₂²×C₄	C₂³×D₁₃	1	1	yes	characteristic
1257	C₄⋊C₄	—	2	2	no	—
1258	C₄⋊C₄	—	2	2	no	—
1259	C₄⋊C₄	—	4	1	no	—
1260	C₄⋊C₄	—	4	1	no	—
1261	C₄⋊C₄	—	4	1	no	—
1262	C₄⋊C₄	—	4	1	no	—
1263	C₄⋊C₄	—	13	4	no	—
1264	C₄⋊C₄	—	13	4	no	—
1265	C₄⋊C₄	—	13	4	no	—
1266	C₄⋊C₄	—	13	4	no	—
1267	C₄⋊C₄	—	13	4	no	—
1268	C₄⋊C₄	—	26	2	no	—
1269	C₄⋊C₄	—	26	2	no	—
1270	C₄⋊C₄	—	26	2	no	—
1271	C₄⋊C₄	—	26	2	no	—
1272	C₄⋊C₄	—	26	2	no	—
1273	C₄⋊C₄	—	26	2	no	—
1274	C₄⋊C₄	—	52	1	no	—
1275	C₄⋊C₄	—	52	1	no	—
1276	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	complemented
1277	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	complemented
1278	C₄⋊C₄	C₂×C₄×D₁₃	1	4	yes	complemented
1279	C₂²⋊C₄	—	2	2	no	—
1280	C₂²⋊C₄	—	2	2	no	—
1281	C₂²⋊C₄	—	13	4	no	—
1282	C₂²⋊C₄	—	13	4	no	—
1283	C₂²⋊C₄	—	13	4	no	—
1284	C₂²⋊C₄	—	13	4	no	—
1285	C₂²⋊C₄	—	13	4	no	—
1286	C₂²⋊C₄	—	13	4	no	—
1287	C₂²⋊C₄	—	13	4	no	—
1288	C₂²⋊C₄	—	13	4	no	—
1289	C₂²⋊C₄	—	13	4	no	—
1290	C₂²⋊C₄	—	13	4	no	—
1291	C₂²⋊C₄	—	13	4	no	—
1292	C₂²⋊C₄	—	13	4	no	—
1293	C₂²⋊C₄	—	13	4	no	—
1294	C₂²⋊C₄	—	13	4	no	—
1295	C₂²⋊C₄	—	26	2	no	—
1296	C₂²⋊C₄	—	26	2	no	—
1297	C₂²⋊C₄	—	26	2	no	—
1298	C₂²⋊C₄	—	26	2	no	—
1299	C₂²⋊C₄	—	26	2	no	—
1300	C₂²⋊C₄	—	26	2	no	—
1301	C₂²⋊C₄	—	26	2	no	—
1302	C₂²⋊C₄	—	26	2	no	—
1303	C₂²⋊C₄	—	26	2	no	—
1304	C₂²⋊C₄	—	26	2	no	—
1305	C₂²⋊C₄	—	26	2	no	—
1306	C₂²⋊C₄	—	26	2	no	—
1307	C₂²⋊C₄	—	52	1	no	—
1308	C₂²⋊C₄	—	52	1	no	—
1309	C₂²⋊C₄	—	52	1	no	—
1310	C₂²⋊C₄	—	52	1	no	—
1311	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1312	C₂²⋊C₄	C₂×C₄×D₁₃	1	4	yes	—
1313	C₄²	—	2	2	no	—
1314	C₄²	—	2	2	no	—
1315	C₄²	—	2	2	no	—
1316	C₄²	—	2	2	no	—
1317	C₄²	—	2	2	no	—
1318	C₄²	—	2	2	no	—
1319	C₄²	—	4	1	no	—
1320	C₄²	—	4	1	no	—
1321	C₄²	—	13	4	no	—
1322	C₄²	—	13	4	no	—
1323	C₄²	—	13	4	no	—
1324	C₄²	—	26	2	no	—
1325	C₄²	—	26	2	no	—
1326	C₄²	—	26	2	no	—
1327	C₄²	—	26	2	no	—
1328	C₄²	—	26	2	no	—
1329	C₄²	—	26	2	no	—
1330	C₄²	—	26	2	no	—
1331	C₄²	—	26	2	no	—
1332	C₄²	—	26	2	no	—
1333	C₄²	—	26	2	no	—
1334	C₄²	—	26	2	no	—
1335	C₄²	—	26	2	no	—
1336	C₄²	—	26	2	no	—
1337	C₄²	—	26	2	no	—
1338	C₄²	—	26	2	no	—
1339	C₄²	—	52	1	no	—
1340	C₄²	—	52	1	no	—
1341	C₄²	—	52	1	no	—
1342	C₄²	—	52	1	no	—
1343	C₄²	—	52	1	no	—
1344	C₄²	—	52	1	no	—
1345	C₄²	—	52	1	no	—
1346	C₁₃	C₄×#551	1	1	yes	characteristic, complemented, Sylow
1347	C₂³	—	2	1	no	—
1348	C₂³	—	2	1	no	—
1349	C₂³	—	2	1	no	—
1350	C₂³	—	2	1	no	—
1351	C₂³	—	13	2	no	—
1352	C₂³	—	13	2	no	—
1353	C₂³	—	13	2	no	—
1354	C₂³	—	13	2	no	—
1355	C₂³	—	13	2	no	—
1356	C₂³	—	26	8	no	—
1357	C₂³	—	26	1	no	—
1358	C₂³	—	26	1	no	—
1359	C₂³	—	26	1	no	—
1360	C₂³	—	26	1	no	—
1361	C₂³	—	26	8	no	—
1362	C₂³	—	26	1	no	—
1363	C₂³	—	26	1	no	—
1364	C₂³	—	26	1	no	—
1365	C₂³	—	26	1	no	—
1366	C₂³	—	26	1	no	—
1367	C₂³	—	26	1	no	—
1368	C₂³	—	26	1	no	—
1369	C₂³	—	26	1	no	—
1370	C₂³	—	26	1	no	—
1371	C₂³	—	26	1	no	—
1372	C₂³	—	26	1	no	—
1373	C₂³	—	26	1	no	—
1374	C₂³	—	52	4	no	—
1375	C₂³	—	52	4	no	—
1376	C₂³	—	52	4	no	—
1377	C₂³	—	52	4	no	—
1378	C₂³	—	52	4	no	—
1379	C₂³	C₂²×C₄×D₁₃	1	2	yes	—
1380	C₂³	C₂×#6131	1	2	yes	—
1381	C₂³	#41×D₁₃	1	2	yes	—
1382	C₂³	C₂⁴×D₁₃	1	1	yes	characteristic
1383	Q₈	—	4	4	no	—
1384	D₄	—	26	8	no	—
1385	D₄	—	26	8	no	—
1386	D₄	—	52	4	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	8	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	4	4	no	—
1420	C₂×C₄	—	4	4	no	—
1421	C₂×C₄	—	13	2	no	—
1422	C₂×C₄	—	13	2	no	—
1423	C₂×C₄	—	13	2	no	—
1424	C₂×C₄	—	13	2	no	—
1425	C₂×C₄	—	13	2	no	—
1426	C₂×C₄	—	13	2	no	—
1427	C₂×C₄	—	13	2	no	—
1428	C₂×C₄	—	13	2	no	—
1429	C₂×C₄	—	13	2	no	—
1430	C₂×C₄	—	26	8	no	—
1431	C₂×C₄	—	26	8	no	—
1432	C₂×C₄	—	26	1	no	—
1433	C₂×C₄	—	26	1	no	—
1434	C₂×C₄	—	26	1	no	—
1435	C₂×C₄	—	26	1	no	—
1436	C₂×C₄	—	26	1	no	—
1437	C₂×C₄	—	26	1	no	—
1438	C₂×C₄	—	26	1	no	—
1439	C₂×C₄	—	26	1	no	—
1440	C₂×C₄	—	26	1	no	—
1441	C₂×C₄	—	26	1	no	—
1442	C₂×C₄	—	26	1	no	—
1443	C₂×C₄	—	26	1	no	—
1444	C₂×C₄	—	26	1	no	—
1445	C₂×C₄	—	26	1	no	—
1446	C₂×C₄	—	26	1	no	—
1447	C₂×C₄	—	26	1	no	—
1448	C₂×C₄	—	26	1	no	—
1449	C₂×C₄	—	26	1	no	—
1450	C₂×C₄	—	26	8	no	—
1451	C₂×C₄	—	26	1	no	—
1452	C₂×C₄	—	26	1	no	—
1453	C₂×C₄	—	26	1	no	—
1454	C₂×C₄	—	26	1	no	—
1455	C₂×C₄	—	26	1	no	—
1456	C₂×C₄	—	26	1	no	—
1457	C₂×C₄	—	26	1	no	—
1458	C₂×C₄	—	26	1	no	—
1459	C₂×C₄	—	26	1	no	—
1460	C₂×C₄	—	26	1	no	—
1461	C₂×C₄	—	26	1	no	—
1462	C₂×C₄	—	26	1	no	—
1463	C₂×C₄	—	52	4	no	—
1464	C₂×C₄	—	52	4	no	—
1465	C₂×C₄	—	52	4	no	—
1466	C₂×C₄	—	52	4	no	—
1467	C₂×C₄	—	52	4	no	—
1468	C₂×C₄	—	52	4	no	—
1469	C₂×C₄	—	52	4	no	—
1470	C₂×C₄	—	52	4	no	—
1471	C₂×C₄	—	52	4	no	—
1472	C₂×C₄	—	52	4	no	—
1473	C₂×C₄	—	52	4	no	—
1474	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1475	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1476	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1477	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1478	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1479	C₂×C₄	C₂²×C₄×D₁₃	1	2	yes	—
1480	C₂×C₄	#88251	1	2	yes	—
1481	C₂×C₄	C₂×#6131	1	2	yes	—
1482	C₂×C₄	C₂×#6131	1	2	yes	—
1483	C₂×C₄	#41×D₁₃	1	2	yes	—
1484	C₂×C₄	#41×D₁₃	1	2	yes	—
1485	C₂²	—	2	2	no	—
1486	C₂²	—	2	2	no	—
1487	C₂²	—	2	2	no	—
1488	C₂²	—	2	2	no	—
1489	C₂²	—	2	2	no	—
1490	C₂²	—	2	2	no	—
1491	C₂²	—	13	4	no	—
1492	C₂²	—	26	2	no	—
1493	C₂²	—	26	2	no	—
1494	C₂²	—	26	2	no	—
1495	C₂²	—	26	2	no	—
1496	C₂²	—	26	2	no	—
1497	C₂²	—	26	2	no	—
1498	C₂²	—	26	2	no	—
1499	C₂²	—	26	2	no	—
1500	C₂²	—	26	2	no	—
1501	C₂²	—	26	2	no	—
1502	C₂²	—	26	2	no	—
1503	C₂²	—	26	2	no	—
1504	C₂²	—	52	16	no	—
1505	C₂²	—	52	1	no	—
1506	C₂²	—	52	1	no	—
1507	C₂²	—	52	1	no	—
1508	C₂²	—	52	1	no	—
1509	C₂²	—	52	1	no	—
1510	C₂²	—	52	1	no	—
1511	C₂²	—	52	1	no	—
1512	C₂²	—	52	1	no	—
1513	C₂²	C₄×#6131	1	4	yes	—
1514	C₂²	C₂³×C₄×D₁₃	1	1	yes	characteristic
1515	C₂²	C₂×#88251	1	1	yes	characteristic
1516	C₂²	C₂²×#6131	1	1	yes	characteristic
1517	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1518	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1519	C₂²	C₂×#41×D₁₃	1	1	yes	characteristic
1520	C₂²	#11719648	1	1	yes	characteristic
1521	C₄	—	2	2	no	—
1522	C₄	—	2	2	no	—
1523	C₄	—	2	2	no	—
1524	C₄	—	2	2	no	—
1525	C₄	—	2	2	no	—
1526	C₄	—	2	2	no	—
1527	C₄	—	2	2	no	—
1528	C₄	—	2	2	no	—
1529	C₄	—	4	1	no	—
1530	C₄	—	4	1	no	—
1531	C₄	—	4	1	no	—
1532	C₄	—	4	1	no	—
1533	C₄	—	4	1	no	—
1534	C₄	—	26	2	no	—
1535	C₄	—	26	2	no	—
1536	C₄	—	26	2	no	—
1537	C₄	—	26	2	no	—
1538	C₄	—	26	2	no	—
1539	C₄	—	26	2	no	—
1540	C₄	—	26	2	no	—
1541	C₄	—	26	2	no	—
1542	C₄	—	26	2	no	—
1543	C₄	—	52	1	no	—
1544	C₄	—	52	1	no	—
1545	C₄	—	52	1	no	—
1546	C₄	—	52	1	no	—
1547	C₄	#11719342	1	4	yes	direct product factor
1548	C₂	—	2	4	no	—
1549	C₂	—	26	4	no	—
1550	C₂	—	52	2	no	—
1551	C₂	—	52	2	no	—
1552	C₂	C₄×#41×D₁₃	1	1	yes	characteristic
1553	C₂	C₂×C₄×#6131	1	1	yes	characteristic
1554	C₂	C₄×#88251	1	1	yes	characteristic
1555	C₂	C₂×#11719342	1	1	yes	characteristic
1556	C₂	#13128388	1	1	yes	characteristic
1557	C₂	#13128403	1	1	yes	characteristic
1558	C₂	#13128438	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₁₃
commutator	C₂²×C₁₃	C₂⁴×C₄
Frattini	C₂³	C₂⁴×D₁₃
Fitting	C₄×C₁₃×C₂²⋊Q₈	C₂
socle, cosocle	C₂³×C₁₃	C₂⁵
prime radical	C₂×#88136	C₂²
hypercenter	C₄×C₂²⋊Q₈	D₁₃
hypocenter	C₁₃	C₄×#551
LCS	G ▷ C₂²×C₁₃ ▷ C₁₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₄×C₂²⋊Q₈

Complements

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

N	H ≅ G/N	type
2. #13117968	C₂	semidirect
3. #13117962	C₂	semidirect
4. #13117959	C₂	semidirect
5. #13117947	C₂	semidirect
6. #13117921	C₂	semidirect
7. #13117915	C₂	semidirect
8. #13117826	C₂	semidirect
9. #13117823	C₂	semidirect
11. #13117778	C₂	semidirect
12. #13117775	C₂	semidirect
13. #13117695	C₂	semidirect
14. #13117694	C₂	semidirect
15. #13117683	C₂	semidirect
16. #13117682	C₂	semidirect
17. C₄×#88152	C₂	semidirect
18. C₄×#88152	C₂	semidirect
19. C₄×#88201	C₂	semidirect
20. C₄×#88200	C₂	semidirect
21. C₄×#88148	C₂	semidirect
22. C₄×#88148	C₂	semidirect
23. C₄×#88140	C₂	semidirect
25. C₄²×C₂²⋊D₁₃	C₂	semidirect
26. C₄×#88147	C₂	semidirect
27. C₄×#88146	C₂	semidirect
28. C₄×#88131	C₂	semidirect
29. C₂×C₄×#6103	C₂	semidirect
30. C₄×C₂²⋊C₄×D₁₃	C₂	semidirect
31. C₄×C₁₃×C₂²⋊Q₈	C₂	semidirect
34. C₂×C₄×Q₈×C₁₃	C₂²	semidirect
44. #11719342	C₄	direct (N × H)
63. C₂×C₄²×D₁₃	C₂²	semidirect
64. C₁₃×#391	C₂²	semidirect
65. C₁₃×#389	C₂²	semidirect
66. C₁₃×#387	C₂²	semidirect
67. C₁₃×#387	C₂²	semidirect
71. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
72. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
73. C₄×C₁₃×C₄⋊C₄	C₂²	semidirect
76. #11718891	C₂²	semidirect
77. #11718891	C₂²	semidirect
88. #11718651	C₂²	semidirect
89. #11718651	C₂²	semidirect
90. #11718651	C₂²	semidirect
94. #11718650	C₂²	semidirect
97. #11718642	C₂²	semidirect
98. #11718642	C₂²	semidirect
99. #11718642	C₂²	semidirect
100. #11718642	C₂²	semidirect
101. #11718639	C₂²	semidirect
102. #11718639	C₂²	semidirect
103. #11718639	C₂²	semidirect
104. #11718639	C₂²	semidirect
105. #11718638	C₂²	semidirect
106. C₄⋊C₄×Dic₁₃	C₂²	semidirect
107. C₄⋊C₄×Dic₁₃	C₂²	semidirect
108. C₄⋊C₄×Dic₁₃	C₂²	semidirect
109. C₄⋊C₄×Dic₁₃	C₂²	semidirect
110. #11718634	C₂²	semidirect
133. C₄×#6103	C₂²	semidirect
134. C₄×#6103	C₂²	semidirect
135. C₄×#6103	C₂²	semidirect
136. C₄×#6103	C₂²	semidirect
137. C₄×#6103	C₂²	semidirect
138. C₄×C₄⋊Dic₁₃	C₂²	semidirect
139. C₄×C₄⋊Dic₁₃	C₂²	semidirect
140. C₄×#6101	C₂²	semidirect
141. C₄×#6101	C₂²	semidirect
142. C₄×#6101	C₂²	semidirect
143. C₄×#6101	C₂²	semidirect
144. C₄×#6101	C₂²	semidirect
145. C₄²×Dic₁₃	C₂²	semidirect
146. C₄²×Dic₁₃	C₂²	semidirect
147. C₄²×Dic₁₃	C₂²	semidirect
150. #11718331	C₂²	semidirect
151. #11718331	C₂²	semidirect
155. #11718330	C₂²	semidirect
164. #11718327	C₂²	semidirect
165. #11718327	C₂²	semidirect
171. #11718325	C₂²	semidirect
174. #11718316	C₂²	semidirect
175. #11718316	C₂²	semidirect
176. #11718315	C₂²	semidirect
177. #11718315	C₂²	semidirect
178. #11718314	C₂²	semidirect
179. #11718314	C₂²	semidirect
180. #11718312	C₂²	semidirect
181. #11718312	C₂²	semidirect
182. #11718310	C₂²	semidirect
183. #11718310	C₂²	semidirect
184. #11718309	C₂²	semidirect
185. #11718309	C₂²	semidirect
186. #11718309	C₂²	semidirect
187. #11718309	C₂²	semidirect
213. C₁₃×C₂²⋊Q₈	C₂×C₄	semidirect
240. #88201	C₂×C₄	semidirect
241. #88200	C₂×C₄	semidirect
244. C₄×C₂²⋊D₁₃	C₂×C₄	semidirect
246. C₂×#6103	C₂×C₄	semidirect
313. #88152	C₂×C₄	semidirect
314. #88152	C₂×C₄	semidirect
315. #88148	C₂×C₄	semidirect
316. #88148	C₂×C₄	semidirect
318. #88147	C₂×C₄	semidirect
320. #88146	C₂×C₄	semidirect
321. #88140	C₂×C₄	semidirect
324. C₂²⋊C₄×D₁₃	C₂×C₄	semidirect
326. #88131	C₂×C₄	semidirect
390. C₂×Q₈×C₁₃	C₂²×C₄	semidirect
477. C₂×C₄×D₁₃	C₂²×C₄	semidirect
485. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
486. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
487. C₁₃×C₄⋊C₄	C₂²×C₄	semidirect
526. #6103	C₂²×C₄	semidirect
527. #6103	C₂²×C₄	semidirect
528. #6103	C₂²×C₄	semidirect
534. C₄⋊Dic₁₃	C₂²×C₄	semidirect
535. C₄⋊Dic₁₃	C₂²×C₄	semidirect
540. #6101	C₂²×C₄	semidirect
541. #6101	C₂²×C₄	semidirect
542. #6101	C₂²×C₄	semidirect
565. C₄×Dic₁₃	C₂²×C₄	semidirect
566. C₄×Dic₁₃	C₂²×C₄	semidirect
567. C₄×Dic₁₃	C₂²×C₄	semidirect
588. C₄×C₂²⋊Q₈	D₁₃	semidirect
748. C₂×C₄×Q₈	C₂×D₁₃	semidirect
771. #391	C₂×D₁₃	semidirect
774. #389	C₂×D₁₃	semidirect
805. #387	C₂×D₁₃	semidirect
806. #387	C₂×D₁₃	semidirect
845. C₄×C₄⋊C₄	C₂×D₁₃	semidirect
846. C₄×C₄⋊C₄	C₂×D₁₃	semidirect
847. C₄×C₄⋊C₄	C₂×D₁₃	semidirect
942. C₄×C₁₃	#551	semidirect
988. C₂²⋊Q₈	C₄×D₁₃	semidirect
1168. C₂×Q₈	C₂×C₄×D₁₃	semidirect
1276. C₄⋊C₄	C₂×C₄×D₁₃	semidirect
1277. C₄⋊C₄	C₂×C₄×D₁₃	semidirect
1278. C₄⋊C₄	C₂×C₄×D₁₃	semidirect
1346. C₁₃	C₄×#551	semidirect
1547. C₄	#11719342	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#11719342	2
#13117968	2
#13117962	2
#13117959	2
#13117947	2
#13117921	2
#13117915	2
#13117826	2
#13117823	2
#13117812	2
#13117778	2
#13117775	2
#13117695	2
#13117694	2
#13117683	2
#13117682	2
C₄×#88152	2
C₄×#88201	2
C₄×#88200	2
C₄×#88148	2
C₄×#88140	2
C₄×#88136	2
C₄²×C₂²⋊D₁₃	2
C₄×#88147	2
C₄×#88146	2
C₄×#88131	2
C₂×C₄×#6103	2
C₄×C₂²⋊C₄×D₁₃	2
C₄×C₁₃×C₂²⋊Q₈	2
C₄×#551	13

Subgroups — C4×#11719342 #16022805

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄×#11719342 #16022805