Subgroups — #11235743

Order 768.

1830 conjugacy classes of subgroups.

The subgroup lattice has 1504 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#2842	C₂	1	1	yes	maximal, characteristic, complemented
2	#78077	C₂	1	1	yes	maximal, characteristic, complemented
3	#78074	C₂	1	1	yes	maximal, characteristic, complemented
4	#78066	C₂	1	1	yes	maximal, characteristic, complemented
5	#78064	C₂	1	1	yes	maximal, characteristic, complemented
6	#78040	C₂	1	1	yes	maximal, characteristic, complemented
7	#78038	C₂	1	1	yes	maximal, characteristic, complemented
8	#78031	C₂	1	1	yes	maximal, characteristic, complemented
9	#78026	C₂	1	1	yes	maximal, characteristic, complemented
10	#77382	C₂	1	1	yes	maximal, characteristic, complemented
11	#77381	C₂	1	1	yes	maximal, characteristic, complemented
12	#77379	C₂	1	1	yes	maximal, characteristic, complemented
13	#77378	C₂	1	1	yes	maximal, characteristic, complemented
14	#77376	C₂	1	1	yes	maximal, characteristic, complemented
15	#77374	C₂	1	1	yes	maximal, characteristic, complemented
16	#77358	C₂	1	1	yes	maximal, characteristic, complemented
17	#77348	C₂	1	1	yes	maximal, characteristic, complemented
18	#77330	C₂	1	1	yes	maximal, characteristic, complemented
19	#77327	C₂	1	1	yes	maximal, characteristic, complemented
20	#77323	C₂	1	1	yes	maximal, characteristic, complemented
21	#77316	C₂	1	1	yes	maximal, characteristic, complemented
22	#77307	C₂	1	1	yes	maximal, characteristic, complemented
23	#77302	C₂	1	1	yes	maximal, characteristic, complemented
24	#77300	C₂	1	1	yes	maximal, characteristic, complemented
25	#77299	C₂	1	1	yes	maximal, characteristic, complemented
26	#73860	C₂	1	1	yes	maximal, characteristic
27	#73851	C₂	1	1	yes	maximal, characteristic, complemented
28	#73851	C₂	1	1	yes	maximal, characteristic, complemented
29	#73847	C₂	1	1	yes	maximal, characteristic, complemented
30	#73847	C₂	1	1	yes	maximal, characteristic, complemented
31	#73817	C₂	1	1	yes	maximal, characteristic, complemented
32	#45459	—	3	1	no	maximal, Sylow
33	C₂⁴×Dic₃	C₂²	1	1	yes	characteristic
34	C₂×#953	C₂²	1	1	yes	characteristic
35	C₂×#953	C₂²	1	1	yes	characteristic
36	C₂×#898	C₂²	1	1	yes	characteristic, complemented
37	C₂×#894	C₂²	1	1	yes	characteristic, complemented
38	C₂×#892	C₂²	1	1	yes	characteristic, complemented
39	C₂×#890	C₂²	1	1	yes	characteristic, complemented
40	C₂×#886	C₂²	1	1	yes	characteristic
41	C₂×#886	C₂²	1	1	yes	characteristic
42	C₂×#886	C₂²	1	1	yes	characteristic
43	C₂×#886	C₂²	1	1	yes	characteristic
44	C₂×#877	C₂²	1	1	yes	characteristic
45	C₂×#877	C₂²	1	1	yes	characteristic
46	C₃×#399	C₂²	1	1	yes	characteristic
47	C₃×#399	C₂²	1	1	yes	characteristic
48	C₃×#399	C₂²	1	1	yes	characteristic
49	C₃×#399	C₂²	1	1	yes	characteristic
50	C₃×#396	C₂²	1	1	yes	characteristic
51	C₃×#396	C₂²	1	1	yes	characteristic
52	C₃×#396	C₂²	1	1	yes	characteristic
53	C₃×#396	C₂²	1	1	yes	characteristic
54	C₃×#396	C₂²	1	1	yes	characteristic
55	C₃×#396	C₂²	1	1	yes	characteristic
56	C₃×#396	C₂²	1	1	yes	characteristic
57	C₃×#396	C₂²	1	1	yes	characteristic
58	C₃×#379	C₂²	1	1	yes	characteristic
59	C₃×#379	C₂²	1	1	yes	characteristic
60	C₃×#379	C₂²	1	1	yes	characteristic
61	#5247	C₂²	1	1	yes	characteristic
62	#4994	C₂²	1	1	yes	characteristic, complemented
63	#4994	C₂²	1	1	yes	characteristic, complemented
64	#4994	C₂²	1	1	yes	characteristic, complemented
65	#4993	C₂²	1	1	yes	characteristic, complemented
66	#4992	C₂²	1	1	yes	characteristic, complemented
67	#4992	C₂²	1	1	yes	characteristic, complemented
68	#4992	C₂²	1	1	yes	characteristic, complemented
69	#4992	C₂²	1	1	yes	characteristic, complemented
70	#4991	C₂²	1	1	yes	characteristic, complemented
71	#4990	C₂²	1	1	yes	characteristic, complemented
72	#4990	C₂²	1	1	yes	characteristic, complemented
73	#4990	C₂²	1	1	yes	characteristic, complemented
74	#4990	C₂²	1	1	yes	characteristic, complemented
75	#4989	C₂²	1	1	yes	characteristic, complemented
76	#4989	C₂²	1	1	yes	characteristic, complemented
77	#4989	C₂²	1	1	yes	characteristic, complemented
78	#4988	C₂²	1	1	yes	characteristic, complemented
79	#4987	C₂²	1	1	yes	characteristic, complemented
80	#4986	C₂²	1	1	yes	characteristic, complemented
81	#4986	C₂²	1	1	yes	characteristic, complemented
82	#4986	C₂²	1	1	yes	characteristic, complemented
83	#4985	C₂²	1	1	yes	characteristic, complemented
84	#4984	C₂²	1	1	yes	characteristic, complemented
85	#4984	C₂²	1	1	yes	characteristic, complemented
86	#4982	C₂²	1	1	yes	characteristic, complemented
87	#4982	C₂²	1	1	yes	characteristic, complemented
88	#4982	C₂²	1	1	yes	characteristic, complemented
89	#4982	C₂²	1	1	yes	characteristic, complemented
90	#4982	C₂²	1	1	yes	characteristic, complemented
91	#4980	C₂²	1	1	yes	characteristic, complemented
92	#4980	C₂²	1	1	yes	characteristic, complemented
93	#4980	C₂²	1	1	yes	characteristic, complemented
94	#4980	C₂²	1	1	yes	characteristic, complemented
95	#4978	C₂²	1	1	yes	characteristic, complemented
96	#4978	C₂²	1	1	yes	characteristic, complemented
97	#4978	C₂²	1	1	yes	characteristic, complemented
98	#4978	C₂²	1	1	yes	characteristic, complemented
99	#4978	C₂²	1	1	yes	characteristic, complemented
100	#4977	C₂²	1	1	yes	characteristic, complemented
101	#4977	C₂²	1	1	yes	characteristic, complemented
102	#4977	C₂²	1	1	yes	characteristic, complemented
103	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
104	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
105	#4972	C₂²	1	1	yes	characteristic, complemented
106	#4961	C₂²	1	1	yes	characteristic
107	#4961	C₂²	1	1	yes	characteristic
108	#4961	C₂²	1	1	yes	characteristic
109	#4961	C₂²	1	1	yes	characteristic
110	#4961	C₂²	1	1	yes	characteristic
111	#4961	C₂²	1	1	yes	characteristic
112	#4960	C₂²	1	1	yes	characteristic
113	#4960	C₂²	1	1	yes	characteristic
114	#4960	C₂²	1	1	yes	characteristic
115	#4958	C₂²	1	1	yes	characteristic
116	#4958	C₂²	1	1	yes	characteristic
117	#4958	C₂²	1	1	yes	characteristic
118	#4958	C₂²	1	1	yes	characteristic
119	#4958	C₂²	1	1	yes	characteristic
120	#4958	C₂²	1	1	yes	characteristic
121	#4958	C₂²	1	1	yes	characteristic
122	#4958	C₂²	1	1	yes	characteristic
123	#4957	C₂²	1	1	yes	characteristic
124	#4957	C₂²	1	1	yes	characteristic
125	#4957	C₂²	1	1	yes	characteristic
126	#4957	C₂²	1	1	yes	characteristic
127	#4957	C₂²	1	1	yes	characteristic
128	#4957	C₂²	1	1	yes	characteristic
129	#4956	C₂²	1	1	yes	characteristic
130	#4956	C₂²	1	1	yes	characteristic
131	#4956	C₂²	1	1	yes	characteristic
132	#4956	C₂²	1	1	yes	characteristic
133	#4956	C₂²	1	1	yes	characteristic
134	#4956	C₂²	1	1	yes	characteristic
135	#4953	C₂²	1	1	yes	characteristic
136	#4953	C₂²	1	1	yes	characteristic
137	#4953	C₂²	1	1	yes	characteristic
138	#4950	C₂²	1	1	yes	characteristic
139	#4950	C₂²	1	1	yes	characteristic
140	#4950	C₂²	1	1	yes	characteristic
141	#4950	C₂²	1	1	yes	characteristic
142	#4950	C₂²	1	1	yes	characteristic
143	#4950	C₂²	1	1	yes	characteristic
144	#4950	C₂²	1	1	yes	characteristic
145	#4950	C₂²	1	1	yes	characteristic
146	#4945	C₂²	1	1	yes	characteristic
147	#4945	C₂²	1	1	yes	characteristic
148	#4945	C₂²	1	1	yes	characteristic
149	#4945	C₂²	1	1	yes	characteristic
150	#4945	C₂²	1	1	yes	characteristic
151	#4945	C₂²	1	1	yes	characteristic
152	#4944	C₂²	1	1	yes	characteristic
153	#4944	C₂²	1	1	yes	characteristic
154	#4944	C₂²	1	1	yes	characteristic
155	#4944	C₂²	1	1	yes	characteristic
156	#4944	C₂²	1	1	yes	characteristic
157	#4944	C₂²	1	1	yes	characteristic
158	#4943	C₂²	1	1	yes	characteristic
159	#4943	C₂²	1	1	yes	characteristic
160	#4943	C₂²	1	1	yes	characteristic
161	#4943	C₂²	1	1	yes	characteristic
162	#4943	C₂²	1	1	yes	characteristic
163	#4943	C₂²	1	1	yes	characteristic
164	#4942	C₂²	1	1	yes	characteristic
165	#4942	C₂²	1	1	yes	characteristic
166	#4942	C₂²	1	1	yes	characteristic
167	#4942	C₂²	1	1	yes	characteristic
168	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
169	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
170	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
171	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
172	#4675	C₂²	1	1	yes	characteristic, complemented
173	#4674	C₂²	1	1	yes	characteristic, complemented
174	#4670	C₂²	1	1	yes	characteristic, complemented
175	#4669	C₂²	1	1	yes	characteristic, complemented
176	#4669	C₂²	1	1	yes	characteristic, complemented
177	#4666	C₂²	1	1	yes	characteristic, complemented
178	#4665	C₂²	1	1	yes	characteristic, complemented
179	C₃⋊#401	C₂²	1	1	yes	characteristic, complemented
180	#4661	C₂²	1	1	yes	characteristic, complemented
181	#4660	C₂²	1	1	yes	characteristic, complemented
182	#4660	C₂²	1	1	yes	characteristic, complemented
183	#4655	C₂²	1	1	yes	characteristic, complemented
184	#4654	C₂²	1	1	yes	characteristic, complemented
185	#4654	C₂²	1	1	yes	characteristic, complemented
186	#4654	C₂²	1	1	yes	characteristic, complemented
187	#4651	C₂²	1	1	yes	characteristic, complemented
188	#2849	—	3	1	no	—
189	#2849	—	3	1	no	—
190	#2842	D₃	1	1	yes	characteristic, complemented
191	#2812	—	3	1	no	—
192	#2765	—	3	1	no	—
193	#2761	—	3	1	no	—
194	#2750	—	3	1	no	—
195	#2749	—	3	1	no	—
196	#2746	—	3	1	no	—
197	#2744	—	3	1	no	—
198	#2740	—	3	1	no	—
199	#2738	—	3	1	no	—
200	#2707	—	3	1	no	—
201	#2706	—	3	1	no	—
202	#2694	—	3	1	no	—
203	#2693	—	3	1	no	—
204	#2609	—	3	1	no	—
205	#2601	—	3	1	no	—
206	#2576	—	3	1	no	—
207	#2575	—	3	1	no	—
208	#2554	—	3	1	no	—
209	#2553	—	3	1	no	—
210	#2516	—	3	1	no	—
211	#2515	—	3	1	no	—
212	#2475	—	3	1	no	—
213	#2471	—	3	1	no	—
214	#2471	—	3	1	no	—
215	#2470	—	3	1	no	—
216	#2375	—	3	1	no	—
217	#2375	—	3	1	no	—
218	#2280	—	3	1	no	—
219	C₂⁵×C₃	C₂³	1	1	yes	characteristic
220	C₂²×#67	C₂³	1	1	yes	characteristic
221	C₂²×#67	C₂³	1	1	yes	characteristic
222	C₂²×#67	C₂³	1	1	yes	characteristic
223	C₂²×#67	C₂³	1	1	yes	characteristic
224	C₂²×#67	C₂³	1	1	yes	characteristic
225	C₂²×#67	C₂³	1	1	yes	characteristic
226	C₂³×Dic₃	—	2	4	no	—
227	C₂³×Dic₃	—	4	2	no	—
228	C₂³×Dic₃	—	4	2	no	—
229	C₂³×Dic₃	C₂³	1	1	yes	characteristic
230	C₂³×Dic₃	C₂³	1	1	yes	characteristic
231	C₂³×Dic₃	C₂³	1	1	yes	characteristic
232	C₂³×Dic₃	C₂³	1	1	yes	characteristic
233	C₂³×Dic₃	C₂³	1	1	yes	characteristic
234	C₂³×Dic₃	C₂³	1	1	yes	characteristic
235	C₂²×D₁₂	C₂³	1	1	yes	characteristic
236	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
237	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
238	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
251	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
252	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
268	#953	—	2	4	no	—
269	#953	—	2	4	no	—
270	C₂×#217	C₂³	1	1	yes	characteristic
271	C₂×#217	C₂³	1	1	yes	characteristic
272	C₂×#217	C₂³	1	1	yes	characteristic
273	C₂×#217	C₂³	1	1	yes	characteristic
274	C₂×#217	C₂³	1	1	yes	characteristic
275	C₂×#217	C₂³	1	1	yes	characteristic
276	C₂×#217	C₂³	1	1	yes	characteristic
277	C₂×#217	C₂³	1	1	yes	characteristic
278	C₂×#217	C₂³	1	1	yes	characteristic
279	C₂×#217	C₂³	1	1	yes	characteristic
280	C₂×#217	C₂³	1	1	yes	characteristic
281	C₂×#217	C₂³	1	1	yes	characteristic
282	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
303	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
304	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
305	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
306	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
307	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
308	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
309	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
310	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
311	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
312	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
313	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
316	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
317	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
321	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
322	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
323	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
324	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
325	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
326	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
327	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
328	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
329	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
330	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
331	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
332	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
333	#898	—	4	2	no	—
334	#894	—	4	2	no	—
335	#892	—	4	2	no	—
336	#890	—	4	2	no	—
337	#886	—	4	2	no	—
338	#886	—	4	2	no	—
339	#886	—	4	2	no	—
340	#886	—	4	2	no	—
341	#877	—	4	2	no	—
342	#877	—	4	2	no	—
343	C₃×#95	C₂³	1	1	yes	characteristic
344	C₃×#95	C₂³	1	1	yes	characteristic
345	C₃×#95	C₂³	1	1	yes	characteristic
346	C₃×#95	C₂³	1	1	yes	characteristic
347	C₃⋊#95	C₂³	1	1	yes	characteristic
348	C₃⋊#95	C₂³	1	1	yes	characteristic
349	C₃⋊#95	C₂³	1	1	yes	characteristic
350	C₃⋊#95	C₂³	1	1	yes	characteristic
351	C₃⋊#95	C₂³	1	1	yes	characteristic
352	C₃⋊#95	C₂³	1	1	yes	characteristic
353	C₃⋊#95	C₂³	1	1	yes	characteristic
354	C₃⋊#95	C₂³	1	1	yes	characteristic
355	C₃⋊#95	C₂³	1	1	yes	characteristic
356	C₃⋊#95	C₂³	1	1	yes	characteristic
357	C₃⋊#95	C₂³	1	1	yes	characteristic
358	C₃⋊#95	C₂³	1	1	yes	characteristic
359	C₃⋊#95	C₂³	1	1	yes	characteristic
360	C₃⋊#95	C₂³	1	1	yes	characteristic
361	C₃⋊#95	C₂³	1	1	yes	characteristic
362	C₃⋊#95	C₂³	1	1	yes	characteristic
363	C₃⋊#95	C₂³	1	1	yes	characteristic
364	C₃⋊#95	C₂³	1	1	yes	characteristic
365	C₃⋊#95	C₂³	1	1	yes	characteristic
366	C₃⋊#95	C₂³	1	1	yes	characteristic
367	C₃⋊#95	C₂³	1	1	yes	characteristic
368	C₃⋊#95	C₂³	1	1	yes	characteristic
369	C₃⋊#95	C₂³	1	1	yes	characteristic
370	C₃⋊#95	C₂³	1	1	yes	characteristic
371	C₃⋊#95	C₂³	1	1	yes	characteristic
372	C₃⋊#95	C₂³	1	1	yes	characteristic
373	C₃⋊#95	C₂³	1	1	yes	characteristic
374	C₃⋊#95	C₂³	1	1	yes	characteristic
375	C₃⋊#95	C₂³	1	1	yes	characteristic
376	C₃⋊#95	C₂³	1	1	yes	characteristic
377	C₃⋊#95	C₂³	1	1	yes	characteristic
378	C₃⋊#95	C₂³	1	1	yes	characteristic
379	C₃⋊#95	C₂³	1	1	yes	characteristic
380	C₃⋊#95	C₂³	1	1	yes	characteristic
381	C₃⋊#95	C₂³	1	1	yes	characteristic
382	C₃⋊#95	C₂³	1	1	yes	characteristic
383	C₃⋊#95	C₂³	1	1	yes	characteristic
384	C₃⋊#95	C₂³	1	1	yes	characteristic
385	C₃⋊#95	C₂³	1	1	yes	characteristic
386	C₃⋊#95	C₂³	1	1	yes	characteristic
387	C₃⋊#95	C₂³	1	1	yes	characteristic
388	C₃⋊#95	C₂³	1	1	yes	characteristic
389	C₂⁴×C₄	—	3	1	no	—
390	C₂×#126	—	3	1	no	—
391	C₂×#125	—	3	1	no	—
392	C₂×#123	—	3	1	no	—
393	C₂×#123	—	3	1	no	—
394	C₂×#123	—	3	1	no	—
395	C₂×#123	—	3	1	no	—
396	C₂×#123	—	3	1	no	—
397	C₂×#120	—	3	1	no	—
398	C₂×#120	—	3	1	no	—
399	C₂×#117	—	3	1	no	—
400	C₂×#117	—	3	1	no	—
401	C₂×#117	—	3	1	no	—
402	#401	—	3	1	no	—
403	#400	—	3	1	no	—
404	#400	—	3	1	no	—
405	#400	—	3	1	no	—
406	#400	—	3	1	no	—
407	#400	—	3	1	no	—
408	#400	—	3	1	no	—
409	#399	—	3	1	no	—
410	#399	C₂×D₃	1	1	yes	characteristic
411	#399	C₂×D₃	1	1	yes	characteristic
412	#399	C₂×D₃	1	1	yes	characteristic
413	#399	C₂×D₃	1	1	yes	characteristic
414	#398	—	3	1	no	—
415	#398	—	3	1	no	—
416	#398	—	3	1	no	—
417	#398	—	3	1	no	—
418	#398	—	3	1	no	—
419	#398	—	3	1	no	—
420	#397	—	3	1	no	—
421	#397	—	3	1	no	—
422	#397	—	3	1	no	—
423	#397	—	3	1	no	—
424	#397	—	3	1	no	—
425	#397	—	3	1	no	—
426	#397	—	3	1	no	—
427	#397	—	3	1	no	—
428	#397	—	3	1	no	—
429	#396	—	3	1	no	—
430	#396	—	3	1	no	—
431	#396	—	3	1	no	—
432	#396	C₂×D₃	1	1	yes	characteristic
433	#396	C₂×D₃	1	1	yes	characteristic
434	#396	C₂×D₃	1	1	yes	characteristic
435	#396	C₂×D₃	1	1	yes	characteristic
436	#396	C₂×D₃	1	1	yes	characteristic
437	#396	C₂×D₃	1	1	yes	characteristic
438	#396	C₂×D₃	1	1	yes	characteristic
439	#396	C₂×D₃	1	1	yes	characteristic
440	#394	—	3	1	no	—
441	#394	—	3	1	no	—
442	#394	—	3	1	no	—
443	#394	—	3	1	no	—
444	#394	—	3	1	no	—
445	#394	—	3	1	no	—
446	#394	—	3	1	no	—
447	#392	—	3	1	no	—
448	#392	—	3	1	no	—
449	#392	—	3	1	no	—
450	#390	—	3	1	no	—
451	#390	—	3	1	no	—
452	#390	—	3	1	no	—
453	#390	—	3	1	no	—
454	#390	—	3	1	no	—
455	#390	—	3	1	no	—
456	#390	—	3	1	no	—
457	#389	—	3	1	no	—
458	#389	—	3	1	no	—
459	#389	—	3	1	no	—
460	#388	—	3	1	no	—
461	#388	—	3	1	no	—
462	#388	—	3	1	no	—
463	#388	—	3	1	no	—
464	#388	—	3	1	no	—
465	#388	—	3	1	no	—
466	#388	—	3	1	no	—
467	#388	—	3	1	no	—
468	#388	—	3	1	no	—
469	#388	—	3	1	no	—
470	#388	—	3	1	no	—
471	#388	—	3	1	no	—
472	#388	—	3	1	no	—
473	#388	—	3	1	no	—
474	#388	—	3	1	no	—
475	#388	—	3	1	no	—
476	#388	—	3	1	no	—
477	#388	—	3	1	no	—
478	#388	—	3	1	no	—
479	#387	—	3	1	no	—
480	#387	—	3	1	no	—
481	#387	—	3	1	no	—
482	#387	—	3	1	no	—
483	#387	—	3	1	no	—
484	#387	—	3	1	no	—
485	#387	—	3	1	no	—
486	#387	—	3	1	no	—
487	#387	—	3	1	no	—
488	#387	—	3	1	no	—
489	#387	—	3	1	no	—
490	#387	—	3	1	no	—
491	#387	—	3	1	no	—
492	#386	—	3	1	no	—
493	#386	—	3	1	no	—
494	#386	—	3	1	no	—
495	#386	—	3	1	no	—
496	#386	—	3	1	no	—
497	#386	—	3	1	no	—
498	#386	—	3	1	no	—
499	#386	—	3	1	no	—
500	#386	—	3	1	no	—
501	#386	—	3	1	no	—
502	#386	—	3	1	no	—
503	#386	—	3	1	no	—
504	#386	—	3	1	no	—
505	#386	—	3	1	no	—
506	#386	—	3	1	no	—
507	#385	—	3	1	no	—
508	#385	—	3	1	no	—
509	#385	—	3	1	no	—
510	#385	—	3	1	no	—
511	#385	—	3	1	no	—
512	#385	—	3	1	no	—
513	#385	—	3	1	no	—
514	#385	—	3	1	no	—
515	#385	—	3	1	no	—
516	#385	—	3	1	no	—
517	#385	—	3	1	no	—
518	#383	—	3	1	no	—
519	#382	—	3	1	no	—
520	#382	—	3	1	no	—
521	#382	—	3	1	no	—
522	#381	—	3	1	no	—
523	#381	—	3	1	no	—
524	#381	—	3	1	no	—
525	#381	—	3	1	no	—
526	#381	—	3	1	no	—
527	#381	—	3	1	no	—
528	#380	—	3	1	no	—
529	#380	—	3	1	no	—
530	#380	—	3	1	no	—
531	#380	—	3	1	no	—
532	#380	—	3	1	no	—
533	#379	—	3	1	no	—
534	#379	C₂×D₃	1	1	yes	characteristic
535	#379	C₂×D₃	1	1	yes	characteristic
536	#379	C₂×D₃	1	1	yes	characteristic
537	C₄×C₄⋊C₄	—	3	1	no	—
538	C₄×C₄⋊C₄	—	3	1	no	—
539	C₄×C₂²⋊C₄	—	3	1	no	—
540	C₄×C₂²⋊C₄	—	3	1	no	—
541	C₄×C₂²⋊C₄	—	3	1	no	—
542	C₄×C₂²⋊C₄	—	3	1	no	—
543	C₄×C₂²⋊C₄	—	3	1	no	—
544	C₂⁴×C₃	—	4	1	no	—
545	C₂⁴×C₃	—	4	1	no	—
546	C₂⁴×C₃	—	4	1	no	—
547	C₂⁴×C₃	—	4	1	no	—
548	C₂⁴×C₃	—	4	1	no	—
549	C₂⁴×C₃	—	4	1	no	—
550	C₂⁴×C₃	#41	1	4	yes	—
551	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
552	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
553	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
554	C₂³×D₃	C₂⁴	1	1	yes	characteristic
555	C₂³×D₃	C₂⁴	1	1	yes	characteristic
556	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
557	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
558	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
559	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
560	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
561	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
562	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
563	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
564	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
565	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
566	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
567	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
568	C₂×#67	—	2	2	no	—
569	C₂×#67	—	2	2	no	—
570	C₂×#67	—	2	2	no	—
571	C₂×#67	—	2	2	no	—
572	C₂×#67	—	2	2	no	—
573	C₂×#67	—	2	2	no	—
574	C₂×#67	—	4	1	no	—
575	C₂×#67	—	4	1	no	—
576	C₂×#67	—	4	1	no	—
577	C₂×#67	—	4	1	no	—
578	C₂×#67	—	4	1	no	—
579	C₂×#67	—	4	1	no	—
580	C₂×#67	—	4	1	no	—
581	C₂×#67	—	4	1	no	—
582	C₂×#67	—	4	1	no	—
583	C₂×#67	—	4	1	no	—
584	C₂×#67	—	4	1	no	—
585	C₂×#67	—	4	1	no	—
586	C₂²×Dic₃	—	2	2	no	—
587	C₂²×Dic₃	—	2	2	no	—
588	C₂²×Dic₃	—	2	2	no	—
589	C₂²×Dic₃	—	2	2	no	—
590	C₂²×Dic₃	—	2	2	no	—
591	C₂²×Dic₃	—	2	2	no	—
592	C₂²×Dic₃	—	2	2	no	—
593	C₂²×Dic₃	—	2	2	no	—
594	C₂²×Dic₃	—	2	2	no	—
595	C₂²×Dic₃	—	2	2	no	—
596	C₂²×Dic₃	—	2	2	no	—
597	C₂²×Dic₃	—	2	2	no	—
598	C₂²×Dic₃	—	4	1	no	—
599	C₂²×Dic₃	—	4	1	no	—
600	C₂²×Dic₃	—	4	1	no	—
601	C₂²×Dic₃	—	4	1	no	—
602	C₂²×Dic₃	—	4	1	no	—
603	C₂²×Dic₃	—	4	1	no	—
604	C₂²×Dic₃	—	4	16	no	—
605	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
606	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
607	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
608	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
609	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
610	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
611	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
612	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
613	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
614	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
615	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
616	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
617	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
618	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
619	C₂×D₁₂	—	4	1	no	—
620	C₂×D₁₂	—	4	1	no	—
621	C₂×D₁₂	—	4	1	no	—
622	C₂×C₄×D₃	—	4	1	no	—
623	C₂×C₄×D₃	—	4	1	no	—
624	C₂×C₄×D₃	—	4	1	no	—
625	C₂×C₄×D₃	—	4	1	no	—
626	C₂×C₄×D₃	—	4	1	no	—
627	C₂×C₄×D₃	—	4	1	no	—
628	C₃×C₄⋊C₄	—	4	1	no	—
629	C₃×C₄⋊C₄	—	4	1	no	—
630	C₃×C₄⋊C₄	—	4	1	no	—
631	C₃×C₄⋊C₄	—	4	1	no	—
632	C₃×C₄⋊C₄	—	4	1	no	—
633	C₃×C₄⋊C₄	—	4	1	no	—
634	C₃×C₄⋊C₄	—	4	1	no	—
635	C₃×C₄⋊C₄	—	4	1	no	—
636	C₃×C₄⋊C₄	—	4	1	no	—
637	C₃×C₄⋊C₄	—	4	1	no	—
638	C₃×C₄⋊C₄	—	4	1	no	—
639	C₃×C₄⋊C₄	—	4	1	no	—
640	C₃×C₂²⋊C₄	—	4	1	no	—
641	C₃×C₂²⋊C₄	—	4	1	no	—
642	C₃×C₂²⋊C₄	—	4	1	no	—
643	C₃×C₂²⋊C₄	—	4	1	no	—
644	C₃×C₂²⋊C₄	—	4	1	no	—
645	C₃×C₂²⋊C₄	—	4	1	no	—
646	C₃×C₂²⋊C₄	—	4	1	no	—
647	C₃×C₂²⋊C₄	—	4	1	no	—
648	C₃×C₂²⋊C₄	—	4	1	no	—
649	C₃×C₂²⋊C₄	—	4	1	no	—
650	C₃×C₂²⋊C₄	—	4	1	no	—
651	C₃×C₂²⋊C₄	—	4	1	no	—
652	C₃×C₂²⋊C₄	—	4	1	no	—
653	C₃×C₂²⋊C₄	—	4	1	no	—
654	C₃×C₂²⋊C₄	—	4	1	no	—
655	C₃×C₂²⋊C₄	—	4	1	no	—
656	C₃×C₂²⋊C₄	—	4	1	no	—
657	C₃×C₂²⋊C₄	—	4	1	no	—
658	#217	—	2	2	no	—
659	#217	—	2	2	no	—
660	#217	—	2	2	no	—
661	#217	—	2	2	no	—
662	#217	—	2	2	no	—
663	#217	—	2	2	no	—
664	#217	—	4	1	no	—
665	#217	—	4	1	no	—
666	#217	—	4	1	no	—
667	#217	—	4	1	no	—
668	#217	—	4	1	no	—
669	#217	—	4	1	no	—
670	(C₂×D₃)⋊C₄	—	2	2	no	—
671	(C₂×D₃)⋊C₄	—	2	2	no	—
672	(C₂×D₃)⋊C₄	—	2	2	no	—
673	(C₂×D₃)⋊C₄	—	2	2	no	—
674	(C₂×D₃)⋊C₄	—	4	1	no	—
675	(C₂×D₃)⋊C₄	—	4	1	no	—
676	(C₂×D₃)⋊C₄	—	4	1	no	—
677	(C₂×D₃)⋊C₄	—	4	1	no	—
678	(C₂×D₃)⋊C₄	—	4	1	no	—
679	(C₂×D₃)⋊C₄	—	4	1	no	—
680	(C₂×D₃)⋊C₄	—	4	1	no	—
681	(C₂×D₃)⋊C₄	—	4	1	no	—
682	(C₂×D₃)⋊C₄	—	4	1	no	—
683	(C₂×D₃)⋊C₄	—	4	1	no	—
684	(C₂×D₃)⋊C₄	—	4	1	no	—
685	(C₂×D₃)⋊C₄	—	4	1	no	—
686	(C₂×D₃)⋊C₄	—	4	1	no	—
687	(C₂×D₃)⋊C₄	—	4	1	no	—
688	(C₂×D₃)⋊C₄	—	4	1	no	—
689	(C₂×D₃)⋊C₄	—	4	1	no	—
690	C₄⋊Dic₃	—	2	2	no	—
691	C₄⋊Dic₃	—	2	2	no	—
692	C₄⋊Dic₃	—	2	2	no	—
693	C₄⋊Dic₃	—	2	2	no	—
694	C₄⋊Dic₃	—	4	1	no	—
695	C₄⋊Dic₃	—	4	1	no	—
696	C₄⋊Dic₃	—	4	1	no	—
697	C₄⋊Dic₃	—	4	1	no	—
698	C₄⋊Dic₃	—	4	1	no	—
699	C₄⋊Dic₃	—	4	1	no	—
700	C₄⋊Dic₃	—	4	1	no	—
701	Dic₃⋊C₄	—	2	2	no	—
702	Dic₃⋊C₄	—	2	2	no	—
703	Dic₃⋊C₄	—	4	1	no	—
704	Dic₃⋊C₄	—	4	1	no	—
705	Dic₃⋊C₄	—	4	1	no	—
706	Dic₃⋊C₄	—	4	1	no	—
707	Dic₃⋊C₄	—	4	1	no	—
708	Dic₃⋊C₄	—	4	1	no	—
709	Dic₃⋊C₄	—	4	1	no	—
710	Dic₃⋊C₄	—	4	1	no	—
711	C₄×Dic₃	—	2	2	no	—
712	C₄×Dic₃	—	2	2	no	—
713	C₄×Dic₃	—	4	1	no	—
714	C₄×Dic₃	—	4	1	no	—
715	C₄×Dic₃	—	4	1	no	—
716	C₄×Dic₃	—	4	1	no	—
717	C₄×Dic₃	—	4	1	no	—
718	C₄×Dic₃	—	4	1	no	—
719	C₄×Dic₃	—	4	1	no	—
720	C₄×Dic₃	—	4	1	no	—
721	C₂⁵	C₂²×D₃	1	1	yes	characteristic
722	C₂²×D₄	—	3	1	no	—
723	C₂²×D₄	—	3	1	no	—
724	C₂²×D₄	—	3	1	no	—
725	C₂²×D₄	—	3	1	no	—
726	C₂²×D₄	—	3	1	no	—
727	C₂²×D₄	—	3	1	no	—
728	C₂²×D₄	—	3	1	no	—
729	C₂³×C₄	—	3	1	no	—
730	C₂³×C₄	—	3	1	no	—
731	C₂³×C₄	—	3	1	no	—
732	C₂³×C₄	—	3	1	no	—
733	C₂³×C₄	—	3	1	no	—
734	C₂³×C₄	—	3	1	no	—
735	C₂³×C₄	—	3	1	no	—
736	C₂³×C₄	—	3	1	no	—
737	C₂³×C₄	—	6	4	no	—
738	C₂³×C₄	—	12	2	no	—
739	C₂³×C₄	—	12	2	no	—
740	#126	—	12	2	no	—
741	#125	—	12	2	no	—
742	#123	—	12	2	no	—
743	#123	—	12	2	no	—
744	#123	—	12	2	no	—
745	#123	—	12	2	no	—
746	#123	—	12	2	no	—
747	#120	—	6	4	no	—
748	#120	—	6	4	no	—
749	#117	—	12	2	no	—
750	#117	—	12	2	no	—
751	#117	—	12	2	no	—
752	C₂×C₄⋊C₄	—	3	1	no	—
753	C₂×C₄⋊C₄	—	3	1	no	—
754	C₂×C₄⋊C₄	—	3	1	no	—
755	C₂×C₄⋊C₄	—	3	1	no	—
756	C₂×C₄⋊C₄	—	3	1	no	—
757	C₂×C₄⋊C₄	—	3	1	no	—
758	C₂×C₄⋊C₄	—	3	1	no	—
759	C₂×C₄⋊C₄	—	3	1	no	—
760	C₂×C₄⋊C₄	—	3	1	no	—
761	C₂×C₄⋊C₄	—	3	1	no	—
762	C₂×C₄⋊C₄	—	3	1	no	—
763	C₂×C₄⋊C₄	—	3	1	no	—
764	C₂×C₄⋊C₄	—	3	1	no	—
765	C₂×C₄⋊C₄	—	3	1	no	—
766	C₂×C₄⋊C₄	—	3	1	no	—
767	C₂×C₄⋊C₄	—	3	1	no	—
768	C₂×C₄⋊C₄	—	3	1	no	—
769	C₂×C₄⋊C₄	—	3	1	no	—
770	C₂×C₄⋊C₄	—	3	1	no	—
771	C₂×C₄⋊C₄	—	3	1	no	—
772	C₂×C₄⋊C₄	—	3	1	no	—
773	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
774	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
775	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
776	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
777	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
778	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
779	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
780	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
781	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
782	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
783	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
784	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
785	C₂×C₂²⋊C₄	—	3	1	no	—
786	C₂×C₂²⋊C₄	—	3	1	no	—
787	C₂×C₂²⋊C₄	—	3	1	no	—
788	C₂×C₂²⋊C₄	—	3	1	no	—
789	C₂×C₂²⋊C₄	—	3	1	no	—
790	C₂×C₂²⋊C₄	—	3	1	no	—
791	C₂×C₂²⋊C₄	—	3	1	no	—
792	C₂×C₂²⋊C₄	—	3	1	no	—
793	C₂×C₂²⋊C₄	—	3	1	no	—
794	C₂×C₂²⋊C₄	—	3	1	no	—
795	C₂×C₂²⋊C₄	—	3	1	no	—
796	C₂×C₂²⋊C₄	—	3	1	no	—
797	C₂×C₂²⋊C₄	—	3	1	no	—
798	C₂×C₂²⋊C₄	—	3	1	no	—
799	C₂×C₂²⋊C₄	—	3	1	no	—
800	C₂×C₂²⋊C₄	—	3	1	no	—
801	C₂×C₂²⋊C₄	—	3	1	no	—
802	C₂×C₂²⋊C₄	—	3	1	no	—
803	C₂×C₂²⋊C₄	—	3	1	no	—
804	C₂×C₂²⋊C₄	—	3	1	no	—
805	C₂×C₂²⋊C₄	—	3	1	no	—
806	C₂×C₂²⋊C₄	—	3	1	no	—
807	C₂×C₂²⋊C₄	—	3	1	no	—
808	C₂×C₂²⋊C₄	—	3	1	no	—
809	C₂×C₂²⋊C₄	—	3	1	no	—
810	C₂×C₂²⋊C₄	—	3	1	no	—
811	C₂×C₂²⋊C₄	—	3	1	no	—
812	C₂×C₂²⋊C₄	—	3	1	no	—
813	C₂×C₂²⋊C₄	—	3	1	no	—
814	C₂×C₂²⋊C₄	—	3	1	no	—
815	C₂×C₂²⋊C₄	—	3	1	no	—
816	C₂×C₂²⋊C₄	—	3	1	no	—
817	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
818	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
819	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
820	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
821	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
822	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
823	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
824	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
825	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
826	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
827	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
828	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
829	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
830	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
831	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
832	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
833	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
834	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
835	C₂×C₄²	—	3	1	no	—
836	C₂×C₄²	—	3	1	no	—
837	C₂×C₄²	—	3	1	no	—
838	C₂×C₄²	—	3	1	no	—
839	C₂×C₄²	—	3	1	no	—
840	C₂×C₄²	—	3	1	no	—
841	C₂×C₄²	—	3	1	no	—
842	C₂×C₄²	—	3	1	no	—
843	C₂×C₄²	—	3	1	no	—
844	C₂×C₄²	—	3	1	no	—
845	#95	—	3	1	no	—
846	#95	—	3	1	no	—
847	#95	—	3	1	no	—
848	#95	—	3	1	no	—
849	#95	—	3	1	no	—
850	#95	—	3	1	no	—
851	#95	—	3	1	no	—
852	#95	—	3	1	no	—
853	#95	—	3	1	no	—
854	#95	—	3	1	no	—
855	#95	—	3	1	no	—
856	#95	—	3	1	no	—
857	#95	—	3	1	no	—
858	#95	—	3	1	no	—
859	#95	—	3	1	no	—
860	#95	—	3	1	no	—
861	#95	—	3	1	no	—
862	#95	—	3	1	no	—
863	#95	—	3	1	no	—
864	#95	—	3	1	no	—
865	#95	—	3	1	no	—
866	#95	—	3	1	no	—
867	#95	—	3	1	no	—
868	#95	—	3	1	no	—
869	#95	—	3	1	no	—
870	#95	—	3	1	no	—
871	#95	—	3	1	no	—
872	#95	—	3	1	no	—
873	#95	—	3	1	no	—
874	#95	—	3	1	no	—
875	#95	—	3	1	no	—
876	#95	—	3	1	no	—
877	#95	—	3	1	no	—
878	#95	—	3	1	no	—
879	#95	—	3	1	no	—
880	#95	—	3	1	no	—
881	#95	—	3	1	no	—
882	#95	—	3	1	no	—
883	#95	—	3	1	no	—
884	#95	—	3	1	no	—
885	#95	—	3	1	no	—
886	#95	—	3	1	no	—
887	#95	C₂²×D₃	1	1	yes	characteristic
888	#95	C₂²×D₃	1	1	yes	characteristic
889	#95	C₂²×D₃	1	1	yes	characteristic
890	#95	C₂²×D₃	1	1	yes	characteristic
891	C₂³×C₃	—	2	1	no	—
892	C₂³×C₃	—	2	1	no	—
893	C₂³×C₃	—	2	1	no	—
894	C₂³×C₃	—	2	1	no	—
895	C₂³×C₃	—	2	1	no	—
896	C₂³×C₃	—	2	1	no	—
897	C₂³×C₃	—	2	1	no	—
898	C₂³×C₃	—	2	1	no	—
899	C₂³×C₃	—	2	1	no	—
900	C₂³×C₃	—	2	1	no	—
901	C₂³×C₃	—	2	1	no	—
902	C₂³×C₃	—	2	1	no	—
903	C₂³×C₃	—	2	1	no	—
904	C₂³×C₃	—	2	1	no	—
905	C₂³×C₃	—	2	1	no	—
906	C₂³×C₃	—	2	1	no	—
907	C₂³×C₃	—	2	1	no	—
908	C₂³×C₃	—	2	1	no	—
909	C₂³×C₃	—	4	4	no	—
910	C₂³×C₃	—	4	4	no	—
911	C₂³×C₃	—	4	4	no	—
912	C₂³×C₃	—	4	4	no	—
913	C₂³×C₃	—	4	4	no	—
914	C₂³×C₃	—	4	4	no	—
915	C₂³×C₃	—	4	4	no	—
916	C₂³×C₃	C₂×#41	1	2	yes	—
917	C₂³×C₃	C₂×#41	1	2	yes	—
918	C₂³×C₃	C₂×#41	1	2	yes	—
919	C₂³×C₃	C₂⁵	1	1	yes	characteristic
920	C₂²×D₃	—	2	1	no	—
921	C₂²×D₃	—	2	1	no	—
922	C₂²×D₃	—	2	1	no	—
923	C₂²×D₃	—	2	1	no	—
924	C₂²×D₃	—	2	1	no	—
925	C₂²×D₃	—	2	1	no	—
926	C₂²×D₃	—	2	1	no	—
927	C₂²×D₃	—	2	1	no	—
928	C₂²×D₃	—	2	1	no	—
929	C₂²×D₃	—	2	1	no	—
930	C₂²×D₃	—	2	1	no	—
931	C₂²×D₃	—	2	1	no	—
932	C₂²×D₃	—	2	1	no	—
933	C₂²×D₃	—	2	1	no	—
934	C₂×C₃×C₄	—	2	1	no	—
935	C₂×C₃×C₄	—	2	1	no	—
936	C₂×C₃×C₄	—	2	1	no	—
937	C₂×C₃×C₄	—	2	1	no	—
938	C₂×C₃×C₄	—	2	1	no	—
939	C₂×C₃×C₄	—	2	1	no	—
940	C₂×C₃×C₄	—	2	1	no	—
941	C₂×C₃×C₄	—	2	1	no	—
942	C₂×C₃×C₄	—	2	1	no	—
943	C₂×C₃×C₄	—	2	1	no	—
944	C₂×C₃×C₄	—	2	1	no	—
945	C₂×C₃×C₄	—	2	1	no	—
946	C₂×C₃×C₄	—	2	1	no	—
947	C₂×C₃×C₄	—	2	1	no	—
948	C₂×C₃×C₄	—	2	1	no	—
949	C₂×C₃×C₄	—	2	1	no	—
950	C₂×C₃×C₄	—	2	1	no	—
951	C₂×C₃×C₄	—	2	1	no	—
952	C₂×C₃×C₄	—	2	1	no	—
953	C₂×C₃×C₄	—	2	1	no	—
954	C₂×C₃×C₄	—	2	1	no	—
955	C₂×C₃×C₄	—	2	1	no	—
956	C₂×C₃×C₄	—	2	1	no	—
957	C₂×C₃×C₄	—	2	1	no	—
958	C₂×C₃×C₄	—	2	1	no	—
959	C₂×C₃×C₄	—	2	1	no	—
960	C₂×C₃×C₄	—	2	1	no	—
961	C₂×C₃×C₄	—	2	1	no	—
962	C₂×C₃×C₄	—	2	1	no	—
963	C₂×C₃×C₄	—	2	1	no	—
964	C₂×C₃×C₄	—	2	1	no	—
965	C₂×C₃×C₄	—	2	1	no	—
966	C₂×C₃×C₄	—	2	1	no	—
967	C₂×C₃×C₄	—	2	1	no	—
968	C₂×C₃×C₄	—	2	1	no	—
969	C₂×C₃×C₄	—	2	1	no	—
970	#67	—	8	2	no	—
971	#67	—	8	2	no	—
972	#67	—	8	2	no	—
973	#67	—	8	2	no	—
974	#67	—	8	2	no	—
975	#67	—	8	2	no	—
976	C₂×Dic₃	—	2	8	no	—
977	C₂×Dic₃	—	2	1	no	—
978	C₂×Dic₃	—	2	1	no	—
979	C₂×Dic₃	—	2	1	no	—
980	C₂×Dic₃	—	2	1	no	—
981	C₂×Dic₃	—	2	1	no	—
982	C₂×Dic₃	—	2	1	no	—
983	C₂×Dic₃	—	2	1	no	—
984	C₂×Dic₃	—	2	1	no	—
985	C₂×Dic₃	—	2	1	no	—
986	C₂×Dic₃	—	2	1	no	—
987	C₂×Dic₃	—	2	1	no	—
988	C₂×Dic₃	—	2	1	no	—
989	C₂×Dic₃	—	2	1	no	—
990	C₂×Dic₃	—	2	1	no	—
991	C₂×Dic₃	—	2	1	no	—
992	C₂×Dic₃	—	2	1	no	—
993	C₂×Dic₃	—	2	1	no	—
994	C₂×Dic₃	—	2	1	no	—
995	C₂×Dic₃	—	2	1	no	—
996	C₂×Dic₃	—	2	1	no	—
997	C₂×Dic₃	—	2	1	no	—
998	C₂×Dic₃	—	2	1	no	—
999	C₂×Dic₃	—	2	1	no	—
1000	C₂×Dic₃	—	2	1	no	—
1001	C₂×Dic₃	—	2	1	no	—
1002	C₂×Dic₃	—	2	1	no	—
1003	C₂×Dic₃	—	2	1	no	—
1004	C₂×Dic₃	—	2	1	no	—
1005	C₂×Dic₃	—	2	1	no	—
1006	C₂×Dic₃	—	2	1	no	—
1007	C₂×Dic₃	—	2	1	no	—
1008	C₂×Dic₃	—	2	1	no	—
1009	C₂×Dic₃	—	2	1	no	—
1010	C₂×Dic₃	—	2	1	no	—
1011	C₂×Dic₃	—	2	1	no	—
1012	C₂×Dic₃	—	2	1	no	—
1013	C₂×Dic₃	—	2	1	no	—
1014	C₂×Dic₃	—	2	1	no	—
1015	C₂×Dic₃	—	2	1	no	—
1016	C₂×Dic₃	—	2	1	no	—
1017	C₂×Dic₃	—	4	4	no	—
1018	C₂×Dic₃	—	4	4	no	—
1019	C₂×Dic₃	—	4	4	no	—
1020	C₂×Dic₃	—	4	4	no	—
1021	C₂×Dic₃	—	4	4	no	—
1022	C₂×Dic₃	H(5,𝔽₂)	1	2	yes	—
1023	C₂×Dic₃	H(5,𝔽₂)	1	2	yes	—
1024	D₁₂	—	8	2	no	—
1025	C₄×D₃	—	4	4	no	—
1026	C₄×D₃	—	8	2	no	—
1027	C₂⁴	—	3	1	no	—
1028	C₂⁴	—	3	1	no	—
1029	C₂⁴	—	4	1	no	—
1030	C₂⁴	—	4	1	no	—
1031	C₂⁴	—	4	1	no	—
1032	C₂⁴	—	4	1	no	—
1033	C₂⁴	—	4	1	no	—
1034	C₂⁴	—	4	1	no	—
1035	C₂⁴	#239	1	4	yes	—
1036	C₂⁴	C₂³×D₃	1	1	yes	characteristic
1037	C₂⁴	C₂³×D₃	1	1	yes	characteristic
1038	C₂⁴	C₂³×D₃	1	1	yes	characteristic
1039	C₂×D₄	—	6	2	no	—
1040	C₂×D₄	—	6	2	no	—
1041	C₂×D₄	—	6	2	no	—
1042	C₂×D₄	—	6	2	no	—
1043	C₂×D₄	—	6	2	no	—
1044	C₂×D₄	—	6	2	no	—
1045	C₂×D₄	—	12	1	no	—
1046	C₂×D₄	—	12	1	no	—
1047	C₂×D₄	—	12	1	no	—
1048	C₂×D₄	—	12	1	no	—
1049	C₂×D₄	—	12	1	no	—
1050	C₂×D₄	—	12	1	no	—
1051	C₂×D₄	—	12	1	no	—
1052	C₂×D₄	—	12	1	no	—
1053	C₂×D₄	—	12	1	no	—
1054	C₂×D₄	—	12	1	no	—
1055	C₂×D₄	—	12	1	no	—
1056	C₂×D₄	—	12	1	no	—
1057	C₂×D₄	—	12	1	no	—
1058	C₂×D₄	—	12	1	no	—
1059	C₂×D₄	—	12	1	no	—
1060	C₂²×C₄	—	3	1	no	—
1061	C₂²×C₄	—	3	1	no	—
1062	C₂²×C₄	—	3	1	no	—
1063	C₂²×C₄	—	3	1	no	—
1064	C₂²×C₄	—	3	1	no	—
1065	C₂²×C₄	—	3	1	no	—
1066	C₂²×C₄	—	3	1	no	—
1067	C₂²×C₄	—	3	1	no	—
1068	C₂²×C₄	—	3	1	no	—
1069	C₂²×C₄	—	3	1	no	—
1070	C₂²×C₄	—	3	1	no	—
1071	C₂²×C₄	—	3	1	no	—
1072	C₂²×C₄	—	3	1	no	—
1073	C₂²×C₄	—	3	1	no	—
1074	C₂²×C₄	—	6	2	no	—
1075	C₂²×C₄	—	6	2	no	—
1076	C₂²×C₄	—	6	2	no	—
1077	C₂²×C₄	—	6	2	no	—
1078	C₂²×C₄	—	6	2	no	—
1079	C₂²×C₄	—	6	2	no	—
1080	C₂²×C₄	—	6	2	no	—
1081	C₂²×C₄	—	6	2	no	—
1082	C₂²×C₄	—	6	2	no	—
1083	C₂²×C₄	—	6	2	no	—
1084	C₂²×C₄	—	6	2	no	—
1085	C₂²×C₄	—	6	2	no	—
1086	C₂²×C₄	—	12	1	no	—
1087	C₂²×C₄	—	12	1	no	—
1088	C₂²×C₄	—	12	1	no	—
1089	C₂²×C₄	—	12	1	no	—
1090	C₂²×C₄	—	12	1	no	—
1091	C₂²×C₄	—	12	1	no	—
1092	C₂²×C₄	—	12	1	no	—
1093	C₂²×C₄	—	12	1	no	—
1094	C₂²×C₄	—	12	1	no	—
1095	C₂²×C₄	—	12	1	no	—
1096	C₂²×C₄	—	12	1	no	—
1097	C₂²×C₄	—	12	1	no	—
1098	C₂²×C₄	—	12	16	no	—
1099	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1100	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1101	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1102	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1103	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1104	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1105	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1106	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1107	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1108	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1109	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1110	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1111	C₄⋊C₄	—	4	1	no	—
1112	C₄⋊C₄	—	4	1	no	—
1113	C₄⋊C₄	—	4	1	no	—
1114	C₄⋊C₄	—	4	1	no	—
1115	C₄⋊C₄	—	4	1	no	—
1116	C₄⋊C₄	—	4	1	no	—
1117	C₄⋊C₄	—	4	1	no	—
1118	C₄⋊C₄	—	4	1	no	—
1119	C₄⋊C₄	—	4	1	no	—
1120	C₄⋊C₄	—	4	1	no	—
1121	C₄⋊C₄	—	4	1	no	—
1122	C₄⋊C₄	—	4	1	no	—
1123	C₄⋊C₄	—	6	2	no	—
1124	C₄⋊C₄	—	6	2	no	—
1125	C₄⋊C₄	—	6	2	no	—
1126	C₄⋊C₄	—	6	2	no	—
1127	C₄⋊C₄	—	6	2	no	—
1128	C₄⋊C₄	—	6	2	no	—
1129	C₄⋊C₄	—	12	1	no	—
1130	C₄⋊C₄	—	12	1	no	—
1131	C₄⋊C₄	—	12	1	no	—
1132	C₄⋊C₄	—	12	1	no	—
1133	C₄⋊C₄	—	12	1	no	—
1134	C₄⋊C₄	—	12	1	no	—
1135	C₄⋊C₄	—	12	1	no	—
1136	C₄⋊C₄	—	12	1	no	—
1137	C₄⋊C₄	—	12	1	no	—
1138	C₄⋊C₄	—	12	1	no	—
1139	C₄⋊C₄	—	12	1	no	—
1140	C₄⋊C₄	—	12	1	no	—
1141	C₄⋊C₄	—	12	1	no	—
1142	C₄⋊C₄	—	12	1	no	—
1143	C₄⋊C₄	—	12	1	no	—
1144	C₂²⋊C₄	—	4	1	no	—
1145	C₂²⋊C₄	—	4	1	no	—
1146	C₂²⋊C₄	—	4	1	no	—
1147	C₂²⋊C₄	—	4	1	no	—
1148	C₂²⋊C₄	—	4	1	no	—
1149	C₂²⋊C₄	—	4	1	no	—
1150	C₂²⋊C₄	—	4	1	no	—
1151	C₂²⋊C₄	—	4	1	no	—
1152	C₂²⋊C₄	—	4	1	no	—
1153	C₂²⋊C₄	—	4	1	no	—
1154	C₂²⋊C₄	—	4	1	no	—
1155	C₂²⋊C₄	—	4	1	no	—
1156	C₂²⋊C₄	—	4	1	no	—
1157	C₂²⋊C₄	—	4	1	no	—
1158	C₂²⋊C₄	—	4	1	no	—
1159	C₂²⋊C₄	—	4	1	no	—
1160	C₂²⋊C₄	—	4	1	no	—
1161	C₂²⋊C₄	—	4	1	no	—
1162	C₂²⋊C₄	—	6	2	no	—
1163	C₂²⋊C₄	—	6	2	no	—
1164	C₂²⋊C₄	—	6	2	no	—
1165	C₂²⋊C₄	—	6	2	no	—
1166	C₂²⋊C₄	—	6	2	no	—
1167	C₂²⋊C₄	—	6	2	no	—
1168	C₂²⋊C₄	—	6	2	no	—
1169	C₂²⋊C₄	—	6	2	no	—
1170	C₂²⋊C₄	—	6	2	no	—
1171	C₂²⋊C₄	—	6	2	no	—
1172	C₂²⋊C₄	—	12	1	no	—
1173	C₂²⋊C₄	—	12	1	no	—
1174	C₂²⋊C₄	—	12	1	no	—
1175	C₂²⋊C₄	—	12	1	no	—
1176	C₂²⋊C₄	—	12	1	no	—
1177	C₂²⋊C₄	—	12	1	no	—
1178	C₂²⋊C₄	—	12	1	no	—
1179	C₂²⋊C₄	—	12	1	no	—
1180	C₂²⋊C₄	—	12	1	no	—
1181	C₂²⋊C₄	—	12	1	no	—
1182	C₂²⋊C₄	—	12	1	no	—
1183	C₂²⋊C₄	—	12	1	no	—
1184	C₂²⋊C₄	—	12	1	no	—
1185	C₂²⋊C₄	—	12	1	no	—
1186	C₂²⋊C₄	—	12	1	no	—
1187	C₂²⋊C₄	—	12	1	no	—
1188	C₂²⋊C₄	—	12	1	no	—
1189	C₂²⋊C₄	—	12	1	no	—
1190	C₂²⋊C₄	—	12	1	no	—
1191	C₂²⋊C₄	—	12	1	no	—
1192	C₂²⋊C₄	—	12	1	no	—
1193	C₂²⋊C₄	—	12	1	no	—
1194	C₄²	—	6	2	no	—
1195	C₄²	—	6	2	no	—
1196	C₄²	—	12	1	no	—
1197	C₄²	—	12	1	no	—
1198	C₄²	—	12	1	no	—
1199	C₄²	—	12	1	no	—
1200	C₄²	—	12	1	no	—
1201	C₄²	—	12	1	no	—
1202	C₄²	—	12	1	no	—
1203	C₄²	—	12	1	no	—
1204	C₂²×C₃	—	2	2	no	—
1205	C₂²×C₃	—	2	2	no	—
1206	C₂²×C₃	—	2	2	no	—
1207	C₂²×C₃	—	2	2	no	—
1208	C₂²×C₃	—	2	2	no	—
1209	C₂²×C₃	—	2	2	no	—
1210	C₂²×C₃	—	2	2	no	—
1211	C₂²×C₃	—	2	2	no	—
1212	C₂²×C₃	—	2	2	no	—
1213	C₂²×C₃	—	4	16	no	—
1214	C₂²×C₃	—	4	1	no	—
1215	C₂²×C₃	—	4	1	no	—
1216	C₂²×C₃	—	4	1	no	—
1217	C₂²×C₃	—	4	1	no	—
1218	C₂²×C₃	—	4	1	no	—
1219	C₂²×C₃	—	4	1	no	—
1220	C₂²×C₃	—	4	1	no	—
1221	C₂²×C₃	—	4	1	no	—
1222	C₂²×C₃	—	4	1	no	—
1223	C₂²×C₃	—	4	1	no	—
1224	C₂²×C₃	—	4	1	no	—
1225	C₂²×C₃	—	4	1	no	—
1226	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1227	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1228	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1229	C₂²×C₃	#585	1	1	yes	characteristic
1230	C₂²×C₃	#585	1	1	yes	characteristic
1231	C₂²×C₃	#585	1	1	yes	characteristic
1232	C₂²×C₃	#585	1	1	yes	characteristic
1233	C₂×D₃	—	4	1	no	—
1234	C₂×D₃	—	4	1	no	—
1235	C₂×D₃	—	4	1	no	—
1236	C₂×D₃	—	4	1	no	—
1237	C₂×D₃	—	4	1	no	—
1238	C₂×D₃	—	4	1	no	—
1239	C₂×D₃	—	4	1	no	—
1240	C₂×D₃	—	4	1	no	—
1241	C₂×D₃	—	4	1	no	—
1242	C₂×D₃	—	4	1	no	—
1243	C₂×D₃	—	4	1	no	—
1244	C₂×D₃	—	4	1	no	—
1245	C₂×D₃	—	4	1	no	—
1246	C₂×D₃	—	4	1	no	—
1247	C₃×C₄	—	4	1	no	—
1248	C₃×C₄	—	4	1	no	—
1249	C₃×C₄	—	4	1	no	—
1250	C₃×C₄	—	4	1	no	—
1251	C₃×C₄	—	4	1	no	—
1252	C₃×C₄	—	4	1	no	—
1253	C₃×C₄	—	4	1	no	—
1254	C₃×C₄	—	4	1	no	—
1255	C₃×C₄	—	4	1	no	—
1256	C₃×C₄	—	4	1	no	—
1257	C₃×C₄	—	4	1	no	—
1258	C₃×C₄	—	4	1	no	—
1259	Dic₃	—	2	2	no	—
1260	Dic₃	—	2	2	no	—
1261	Dic₃	—	4	1	no	—
1262	Dic₃	—	4	1	no	—
1263	Dic₃	—	4	1	no	—
1264	Dic₃	—	4	1	no	—
1265	Dic₃	—	4	1	no	—
1266	Dic₃	—	4	1	no	—
1267	Dic₃	—	4	1	no	—
1268	Dic₃	—	4	1	no	—
1269	Dic₃	—	4	1	no	—
1270	Dic₃	—	4	1	no	—
1271	Dic₃	—	4	1	no	—
1272	Dic₃	—	4	1	no	—
1273	C₂³	—	2	1	no	—
1274	C₂³	—	2	1	no	—
1275	C₂³	—	2	1	no	—
1276	C₂³	—	2	1	no	—
1277	C₂³	—	2	1	no	—
1278	C₂³	—	2	1	no	—
1279	C₂³	—	2	1	no	—
1280	C₂³	—	2	1	no	—
1281	C₂³	—	2	1	no	—
1282	C₂³	—	2	1	no	—
1283	C₂³	—	2	1	no	—
1284	C₂³	—	2	1	no	—
1285	C₂³	—	2	1	no	—
1286	C₂³	—	2	1	no	—
1287	C₂³	—	2	1	no	—
1288	C₂³	—	2	1	no	—
1289	C₂³	—	2	1	no	—
1290	C₂³	—	2	1	no	—
1291	C₂³	—	4	4	no	—
1292	C₂³	—	4	4	no	—
1293	C₂³	—	4	4	no	—
1294	C₂³	—	4	4	no	—
1295	C₂³	—	4	4	no	—
1296	C₂³	—	4	4	no	—
1297	C₂³	—	4	4	no	—
1298	C₂³	—	6	1	no	—
1299	C₂³	—	6	1	no	—
1300	C₂³	—	6	1	no	—
1301	C₂³	—	6	1	no	—
1302	C₂³	—	6	1	no	—
1303	C₂³	—	6	1	no	—
1304	C₂³	—	6	1	no	—
1305	C₂³	—	6	1	no	—
1306	C₂³	—	6	1	no	—
1307	C₂³	—	6	1	no	—
1308	C₂³	—	6	1	no	—
1309	C₂³	—	6	1	no	—
1310	C₂³	—	6	1	no	—
1311	C₂³	—	6	1	no	—
1312	C₂³	C₂×#239	1	2	yes	—
1313	C₂³	C₂×#239	1	2	yes	—
1314	C₂³	C₂×#239	1	2	yes	—
1315	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1316	D₄	—	24	2	no	—
1317	D₄	—	24	2	no	—
1318	D₄	—	24	2	no	—
1319	D₄	—	24	2	no	—
1320	D₄	—	24	2	no	—
1321	D₄	—	24	2	no	—
1322	D₄	—	24	2	no	—
1323	C₂×C₄	—	2	1	no	—
1324	C₂×C₄	—	2	1	no	—
1325	C₂×C₄	—	2	1	no	—
1326	C₂×C₄	—	2	1	no	—
1327	C₂×C₄	—	2	1	no	—
1328	C₂×C₄	—	2	1	no	—
1329	C₂×C₄	—	2	1	no	—
1330	C₂×C₄	—	2	1	no	—
1331	C₂×C₄	—	2	1	no	—
1332	C₂×C₄	—	2	1	no	—
1333	C₂×C₄	—	2	1	no	—
1334	C₂×C₄	—	2	1	no	—
1335	C₂×C₄	—	2	1	no	—
1336	C₂×C₄	—	2	1	no	—
1337	C₂×C₄	—	2	1	no	—
1338	C₂×C₄	—	2	1	no	—
1339	C₂×C₄	—	2	1	no	—
1340	C₂×C₄	—	2	1	no	—
1341	C₂×C₄	—	2	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	1	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	1	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	1	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	2	1	no	—
1354	C₂×C₄	—	2	1	no	—
1355	C₂×C₄	—	2	1	no	—
1356	C₂×C₄	—	2	1	no	—
1357	C₂×C₄	—	2	1	no	—
1358	C₂×C₄	—	2	1	no	—
1359	C₂×C₄	—	3	2	no	—
1360	C₂×C₄	—	3	2	no	—
1361	C₂×C₄	—	6	8	no	—
1362	C₂×C₄	—	6	1	no	—
1363	C₂×C₄	—	6	1	no	—
1364	C₂×C₄	—	6	1	no	—
1365	C₂×C₄	—	6	1	no	—
1366	C₂×C₄	—	6	1	no	—
1367	C₂×C₄	—	6	1	no	—
1368	C₂×C₄	—	6	1	no	—
1369	C₂×C₄	—	6	1	no	—
1370	C₂×C₄	—	6	1	no	—
1371	C₂×C₄	—	6	1	no	—
1372	C₂×C₄	—	6	1	no	—
1373	C₂×C₄	—	6	1	no	—
1374	C₂×C₄	—	6	1	no	—
1375	C₂×C₄	—	6	1	no	—
1376	C₂×C₄	—	6	1	no	—
1377	C₂×C₄	—	6	1	no	—
1378	C₂×C₄	—	6	1	no	—
1379	C₂×C₄	—	6	1	no	—
1380	C₂×C₄	—	6	1	no	—
1381	C₂×C₄	—	6	1	no	—
1382	C₂×C₄	—	6	1	no	—
1383	C₂×C₄	—	6	1	no	—
1384	C₂×C₄	—	6	1	no	—
1385	C₂×C₄	—	6	1	no	—
1386	C₂×C₄	—	6	1	no	—
1387	C₂×C₄	—	6	1	no	—
1388	C₂×C₄	—	6	1	no	—
1389	C₂×C₄	—	6	1	no	—
1390	C₂×C₄	—	6	1	no	—
1391	C₂×C₄	—	6	1	no	—
1392	C₂×C₄	—	6	1	no	—
1393	C₂×C₄	—	6	1	no	—
1394	C₂×C₄	—	6	1	no	—
1395	C₂×C₄	—	6	1	no	—
1396	C₂×C₄	—	6	1	no	—
1397	C₂×C₄	—	6	1	no	—
1398	C₂×C₄	—	6	1	no	—
1399	C₂×C₄	—	6	1	no	—
1400	C₂×C₄	—	6	1	no	—
1401	C₂×C₄	—	6	1	no	—
1402	C₂×C₄	—	12	4	no	—
1403	C₂×C₄	—	12	4	no	—
1404	C₂×C₄	—	12	4	no	—
1405	C₂×C₄	—	12	4	no	—
1406	C₂×C₄	—	12	4	no	—
1407	C₂×C₄	—	12	4	no	—
1408	C₂×C₄	—	24	2	no	—
1409	C₂×C₃	—	4	2	no	—
1410	C₂×C₃	—	4	2	no	—
1411	C₂×C₃	—	4	2	no	—
1412	C₂×C₃	#3490	1	1	yes	characteristic
1413	C₂×C₃	#3491	1	1	yes	characteristic
1414	C₂×C₃	#3491	1	1	yes	characteristic
1415	C₂×C₃	#3529	1	1	yes	characteristic
1416	C₂×C₃	#3539	1	1	yes	characteristic
1417	C₂×C₃	#3539	1	1	yes	characteristic
1418	C₂×C₃	#3540	1	1	yes	characteristic
1419	D₃	—	8	1	no	—
1420	D₃	—	8	1	no	—
1421	C₂²	—	2	2	no	—
1422	C₂²	—	2	2	no	—
1423	C₂²	—	2	2	no	—
1424	C₂²	—	2	2	no	—
1425	C₂²	—	2	2	no	—
1426	C₂²	—	2	2	no	—
1427	C₂²	—	2	2	no	—
1428	C₂²	—	2	2	no	—
1429	C₂²	—	2	2	no	—
1430	C₂²	—	4	16	no	—
1431	C₂²	—	4	1	no	—
1432	C₂²	—	4	1	no	—
1433	C₂²	—	4	1	no	—
1434	C₂²	—	4	1	no	—
1435	C₂²	—	4	1	no	—
1436	C₂²	—	4	1	no	—
1437	C₂²	—	4	1	no	—
1438	C₂²	—	4	1	no	—
1439	C₂²	—	4	1	no	—
1440	C₂²	—	4	1	no	—
1441	C₂²	—	4	1	no	—
1442	C₂²	—	4	1	no	—
1443	C₂²	—	12	1	no	—
1444	C₂²	—	12	1	no	—
1445	C₂²	—	12	1	no	—
1446	C₂²	—	12	1	no	—
1447	C₂²	—	12	1	no	—
1448	C₂²	—	12	1	no	—
1449	C₂²	—	12	1	no	—
1450	C₂²	—	12	1	no	—
1451	C₂²	—	12	1	no	—
1452	C₂²	—	12	1	no	—
1453	C₂²	—	12	1	no	—
1454	C₂²	—	12	1	no	—
1455	C₂²	—	12	1	no	—
1456	C₂²	—	12	1	no	—
1457	C₂²	C₂²×#239	1	1	yes	characteristic
1458	C₂²	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1459	C₂²	D₃×H(5,𝔽₂)	1	1	yes	characteristic
1460	C₂²	#5966	1	1	yes	characteristic
1461	C₂²	#5966	1	1	yes	characteristic
1462	C₂²	#5966	1	1	yes	characteristic
1463	C₂²	#5966	1	1	yes	characteristic
1464	C₄	—	4	1	no	—
1465	C₄	—	4	1	no	—
1466	C₄	—	4	1	no	—
1467	C₄	—	4	1	no	—
1468	C₄	—	4	1	no	—
1469	C₄	—	4	1	no	—
1470	C₄	—	4	1	no	—
1471	C₄	—	4	1	no	—
1472	C₄	—	4	1	no	—
1473	C₄	—	4	1	no	—
1474	C₄	—	4	1	no	—
1475	C₄	—	4	1	no	—
1476	C₄	—	6	2	no	—
1477	C₄	—	6	2	no	—
1478	C₄	—	12	1	no	—
1479	C₄	—	12	1	no	—
1480	C₄	—	12	1	no	—
1481	C₄	—	12	1	no	—
1482	C₄	—	12	1	no	—
1483	C₄	—	12	1	no	—
1484	C₄	—	12	1	no	—
1485	C₄	—	12	1	no	—
1486	C₄	—	12	1	no	—
1487	C₄	—	12	1	no	—
1488	C₄	—	12	1	no	—
1489	C₄	—	12	1	no	—
1490	C₃	#45459	1	1	yes	characteristic, complemented, Sylow
1491	C₂	—	4	2	no	—
1492	C₂	—	4	2	no	—
1493	C₂	—	4	2	no	—
1494	C₂	—	24	1	no	—
1495	C₂	—	24	1	no	—
1496	C₂	#86573	1	1	yes	characteristic
1497	C₂	#86573	1	1	yes	characteristic
1498	C₂	#86579	1	1	yes	characteristic
1499	C₂	#87070	1	1	yes	characteristic
1500	C₂	#87072	1	1	yes	characteristic
1501	C₂	#87072	1	1	yes	characteristic
1502	C₂	#87073	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₃
commutator, socle, cosocle	C₂³×C₃	C₂⁵
Fitting	C₃×#2842	C₂
prime radical	#73860	C₂
hypercenter	#2842	D₃
hypocenter	C₃	#45459
LCS	G ▷ C₂³×C₃ ▷ C₃
UCS	C₁ ◁ C₂³ ◁ #2842

Complements

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

N	H ≅ G/N	type
1. C₃×#2842	C₂	semidirect
2. #78077	C₂	semidirect
3. #78074	C₂	semidirect
4. #78066	C₂	semidirect
5. #78064	C₂	semidirect
6. #78040	C₂	semidirect
7. #78038	C₂	semidirect
8. #78031	C₂	semidirect
9. #78026	C₂	semidirect
10. #77382	C₂	semidirect
11. #77381	C₂	semidirect
12. #77379	C₂	semidirect
13. #77378	C₂	semidirect
14. #77376	C₂	semidirect
15. #77374	C₂	semidirect
16. #77358	C₂	semidirect
17. #77348	C₂	semidirect
18. #77330	C₂	semidirect
19. #77327	C₂	semidirect
20. #77323	C₂	semidirect
21. #77316	C₂	semidirect
22. #77307	C₂	semidirect
23. #77302	C₂	semidirect
24. #77300	C₂	semidirect
25. #77299	C₂	semidirect
27. #73851	C₂	semidirect
28. #73851	C₂	semidirect
29. #73847	C₂	semidirect
30. #73847	C₂	semidirect
31. #73817	C₂	semidirect
36. C₂×#898	C₂²	semidirect
37. C₂×#894	C₂²	semidirect
38. C₂×#892	C₂²	semidirect
39. C₂×#890	C₂²	semidirect
62. #4994	C₂²	semidirect
63. #4994	C₂²	semidirect
64. #4994	C₂²	semidirect
65. #4993	C₂²	semidirect
66. #4992	C₂²	semidirect
67. #4992	C₂²	semidirect
68. #4992	C₂²	semidirect
69. #4992	C₂²	semidirect
70. #4991	C₂²	semidirect
71. #4990	C₂²	semidirect
72. #4990	C₂²	semidirect
73. #4990	C₂²	semidirect
74. #4990	C₂²	semidirect
75. #4989	C₂²	semidirect
76. #4989	C₂²	semidirect
77. #4989	C₂²	semidirect
78. #4988	C₂²	semidirect
79. #4987	C₂²	semidirect
80. #4986	C₂²	semidirect
81. #4986	C₂²	semidirect
82. #4986	C₂²	semidirect
83. #4985	C₂²	semidirect
84. #4984	C₂²	semidirect
85. #4984	C₂²	semidirect
86. #4982	C₂²	semidirect
87. #4982	C₂²	semidirect
88. #4982	C₂²	semidirect
89. #4982	C₂²	semidirect
90. #4982	C₂²	semidirect
91. #4980	C₂²	semidirect
92. #4980	C₂²	semidirect
93. #4980	C₂²	semidirect
94. #4980	C₂²	semidirect
95. #4978	C₂²	semidirect
96. #4978	C₂²	semidirect
97. #4978	C₂²	semidirect
98. #4978	C₂²	semidirect
99. #4978	C₂²	semidirect
100. #4977	C₂²	semidirect
101. #4977	C₂²	semidirect
102. #4977	C₂²	semidirect
103. Dic₃×C₄⋊C₄	C₂²	semidirect
104. Dic₃×C₄⋊C₄	C₂²	semidirect
105. #4972	C₂²	semidirect
172. #4675	C₂²	semidirect
173. #4674	C₂²	semidirect
174. #4670	C₂²	semidirect
175. #4669	C₂²	semidirect
176. #4669	C₂²	semidirect
177. #4666	C₂²	semidirect
178. #4665	C₂²	semidirect
179. C₃⋊#401	C₂²	semidirect
180. #4661	C₂²	semidirect
181. #4660	C₂²	semidirect
182. #4660	C₂²	semidirect
183. #4655	C₂²	semidirect
184. #4654	C₂²	semidirect
185. #4654	C₂²	semidirect
186. #4654	C₂²	semidirect
187. #4651	C₂²	semidirect
190. #2842	D₃	semidirect
1490. C₃	#45459	semidirect

Maximal subgroups

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

subgroup	index
C₃×#2842	2
#78077	2
#78074	2
#78066	2
#78064	2
#78040	2
#78038	2
#78031	2
#78026	2
#77382	2
#77381	2
#77379	2
#77378	2
#77376	2
#77374	2
#77358	2
#77348	2
#77330	2
#77327	2
#77323	2
#77316	2
#77307	2
#77302	2
#77300	2
#77299	2
#73860	2
#73851	2
#73847	2
#73817	2
#45459	3