Subgroups — #11100253

Order 768.

1530 conjugacy classes of subgroups.

The subgroup lattice has 1364 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#2468	C₂	1	1	yes	maximal, characteristic, complemented
2	#83100	C₂	1	1	yes	maximal, characteristic, complemented
3	#83089	C₂	1	1	yes	maximal, characteristic, complemented
4	#82401	C₂	1	1	yes	maximal, characteristic
5	#82369	C₂	1	1	yes	maximal, characteristic, complemented
6	#77995	C₂	1	1	yes	maximal, characteristic, complemented
7	#77894	C₂	1	1	yes	maximal, characteristic, complemented
8	#77841	C₂	1	1	yes	maximal, characteristic, complemented
9	#77841	C₂	1	1	yes	maximal, characteristic, complemented
10	#77103	C₂	1	1	yes	maximal, characteristic, complemented
11	#77101	C₂	1	1	yes	maximal, characteristic, complemented
12	#77060	C₂	1	1	yes	maximal, characteristic
13	#77057	C₂	1	1	yes	maximal, characteristic
14	#75951	C₂	1	1	yes	maximal, characteristic, complemented
15	#75742	C₂	1	1	yes	maximal, characteristic, complemented
16	#75682	C₂	1	1	yes	maximal, characteristic, complemented
17	#75660	C₂	1	1	yes	maximal, characteristic, complemented
18	#75572	C₂	1	1	yes	maximal, characteristic, complemented
19	#75523	C₂	1	1	yes	maximal, characteristic, complemented
20	#75317	C₂	1	1	yes	maximal, characteristic, complemented
21	#75050	C₂	1	1	yes	maximal, characteristic, complemented
22	#74624	C₂	1	1	yes	maximal, characteristic, complemented
23	#74615	C₂	1	1	yes	maximal, characteristic, complemented
24	#74469	C₂	1	1	yes	maximal, characteristic, complemented
25	#74466	C₂	1	1	yes	maximal, characteristic, complemented
26	#74086	C₂	1	1	yes	maximal, characteristic, complemented
27	#74061	C₂	1	1	yes	maximal, characteristic, complemented
28	#74006	C₂	1	1	yes	maximal, characteristic, complemented
29	#73946	C₂	1	1	yes	maximal, characteristic, complemented
30	#73686	C₂	1	1	yes	maximal, characteristic, complemented
31	#73648	C₂	1	1	yes	maximal, characteristic, complemented
32	#40583	—	3	1	no	maximal, Sylow
33	C₂×C₃×#126	C₂²	1	1	yes	characteristic
34	C₂×C₃×C₄×D₄	C₂²	1	1	yes	characteristic
35	C₂×C₄×#67	C₂²	1	1	yes	characteristic
36	C₂×C₄×#67	C₂²	1	1	yes	characteristic
37	C₂×#897	C₂²	1	1	yes	characteristic
38	C₂×#896	C₂²	1	1	yes	characteristic
39	C₂×#879	C₂²	1	1	yes	characteristic
40	C₂×#872	C₂²	1	1	yes	characteristic
41	C₂×C₄×Dic₆	C₂²	1	1	yes	characteristic
42	C₃×#398	C₂²	1	1	yes	characteristic
43	C₃×#398	C₂²	1	1	yes	characteristic
44	C₃×#394	C₂²	1	1	yes	characteristic
45	C₃×#394	C₂²	1	1	yes	characteristic
46	C₃×#388	C₂²	1	1	yes	characteristic
47	C₃×#388	C₂²	1	1	yes	characteristic
48	C₃×#388	C₂²	1	1	yes	characteristic
49	C₃×#387	C₂²	1	1	yes	characteristic
50	C₃×#385	C₂²	1	1	yes	characteristic
51	C₃×#385	C₂²	1	1	yes	characteristic
52	C₃×#381	C₂²	1	1	yes	characteristic
53	C₃×#380	C₂²	1	1	yes	characteristic
54	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
55	#5223	C₂²	1	1	yes	characteristic
56	#5222	C₂²	1	1	yes	characteristic
57	#5222	C₂²	1	1	yes	characteristic
58	#5222	C₂²	1	1	yes	characteristic
59	#5211	C₂²	1	1	yes	characteristic
60	#5210	C₂²	1	1	yes	characteristic
61	#5210	C₂²	1	1	yes	characteristic
62	C₄×#217	C₂²	1	1	yes	characteristic
63	C₄×#217	C₂²	1	1	yes	characteristic
64	C₄×#217	C₂²	1	1	yes	characteristic
65	#4992	C₂²	1	1	yes	characteristic
66	#4992	C₂²	1	1	yes	characteristic
67	#4990	C₂²	1	1	yes	characteristic
68	#4989	C₂²	1	1	yes	characteristic
69	#4989	C₂²	1	1	yes	characteristic
70	#4989	C₂²	1	1	yes	characteristic
71	#4987	C₂²	1	1	yes	characteristic
72	#4985	C₂²	1	1	yes	characteristic
73	#4983	C₂²	1	1	yes	characteristic
74	#4983	C₂²	1	1	yes	characteristic
75	#4983	C₂²	1	1	yes	characteristic
76	#4983	C₂²	1	1	yes	characteristic
77	#4982	C₂²	1	1	yes	characteristic
78	#4982	C₂²	1	1	yes	characteristic
79	#4981	C₂²	1	1	yes	characteristic
80	#4980	C₂²	1	1	yes	characteristic
81	#4980	C₂²	1	1	yes	characteristic
82	#4980	C₂²	1	1	yes	characteristic
83	#4980	C₂²	1	1	yes	characteristic
84	#4979	C₂²	1	1	yes	characteristic
85	#4979	C₂²	1	1	yes	characteristic
86	#4979	C₂²	1	1	yes	characteristic
87	#4979	C₂²	1	1	yes	characteristic
88	#4978	C₂²	1	1	yes	characteristic
89	#4978	C₂²	1	1	yes	characteristic
90	#4978	C₂²	1	1	yes	characteristic
91	#4978	C₂²	1	1	yes	characteristic
92	#4978	C₂²	1	1	yes	characteristic
93	#4978	C₂²	1	1	yes	characteristic
94	#4978	C₂²	1	1	yes	characteristic
95	#4977	C₂²	1	1	yes	characteristic
96	#4977	C₂²	1	1	yes	characteristic
97	#4976	C₂²	1	1	yes	characteristic
98	#4976	C₂²	1	1	yes	characteristic
99	#4961	C₂²	1	1	yes	characteristic
100	#4961	C₂²	1	1	yes	characteristic
101	#4961	C₂²	1	1	yes	characteristic
102	#4959	C₂²	1	1	yes	characteristic
103	#4957	C₂²	1	1	yes	characteristic
104	#4957	C₂²	1	1	yes	characteristic
105	#4956	C₂²	1	1	yes	characteristic
106	#4956	C₂²	1	1	yes	characteristic
107	#4956	C₂²	1	1	yes	characteristic
108	#4956	C₂²	1	1	yes	characteristic
109	#4953	C₂²	1	1	yes	characteristic
110	#4953	C₂²	1	1	yes	characteristic
111	#4952	C₂²	1	1	yes	characteristic
112	#4952	C₂²	1	1	yes	characteristic
113	#4952	C₂²	1	1	yes	characteristic
114	#4952	C₂²	1	1	yes	characteristic
115	#4952	C₂²	1	1	yes	characteristic
116	#4951	C₂²	1	1	yes	characteristic
117	#4951	C₂²	1	1	yes	characteristic
118	#4951	C₂²	1	1	yes	characteristic
119	#4949	C₂²	1	1	yes	characteristic
120	#4949	C₂²	1	1	yes	characteristic
121	#4948	C₂²	1	1	yes	characteristic
122	#4948	C₂²	1	1	yes	characteristic
123	#4948	C₂²	1	1	yes	characteristic
124	#4948	C₂²	1	1	yes	characteristic
125	#4948	C₂²	1	1	yes	characteristic
126	#4947	C₂²	1	1	yes	characteristic
127	#4947	C₂²	1	1	yes	characteristic
128	#4947	C₂²	1	1	yes	characteristic
129	#4947	C₂²	1	1	yes	characteristic
130	#4945	C₂²	1	1	yes	characteristic
131	#4945	C₂²	1	1	yes	characteristic
132	#4945	C₂²	1	1	yes	characteristic
133	#4945	C₂²	1	1	yes	characteristic
134	#4945	C₂²	1	1	yes	characteristic
135	#4944	C₂²	1	1	yes	characteristic
136	#4944	C₂²	1	1	yes	characteristic
137	#4944	C₂²	1	1	yes	characteristic
138	#4940	C₂²	1	1	yes	characteristic
139	#4940	C₂²	1	1	yes	characteristic
140	#4936	C₂²	1	1	yes	characteristic
141	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
142	#4933	C₂²	1	1	yes	characteristic
143	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
144	#4928	C₂²	1	1	yes	characteristic
145	#4928	C₂²	1	1	yes	characteristic
146	#4928	C₂²	1	1	yes	characteristic
147	#4928	C₂²	1	1	yes	characteristic
148	#4675	C₂²	1	1	yes	characteristic
149	#4670	C₂²	1	1	yes	characteristic
150	#4669	C₂²	1	1	yes	characteristic
151	#4669	C₂²	1	1	yes	characteristic
152	#4668	C₂²	1	1	yes	characteristic
153	#4667	C₂²	1	1	yes	characteristic
154	#4667	C₂²	1	1	yes	characteristic
155	#4666	C₂²	1	1	yes	characteristic
156	#4664	C₂²	1	1	yes	characteristic
157	D₃×#95	C₂²	1	1	yes	characteristic
158	#4661	C₂²	1	1	yes	characteristic
159	#4660	C₂²	1	1	yes	characteristic
160	#4660	C₂²	1	1	yes	characteristic
161	#4660	C₂²	1	1	yes	characteristic
162	#4659	C₂²	1	1	yes	characteristic
163	#4658	C₂²	1	1	yes	characteristic
164	#4658	C₂²	1	1	yes	characteristic
165	#4658	C₂²	1	1	yes	characteristic
166	#4658	C₂²	1	1	yes	characteristic
167	#4657	C₂²	1	1	yes	characteristic
168	#4657	C₂²	1	1	yes	characteristic
169	#4655	C₂²	1	1	yes	characteristic
170	#4655	C₂²	1	1	yes	characteristic
171	#4653	C₂²	1	1	yes	characteristic
172	#4653	C₂²	1	1	yes	characteristic
173	#4652	C₂²	1	1	yes	characteristic
174	#4652	C₂²	1	1	yes	characteristic
175	#4651	C₂²	1	1	yes	characteristic
176	#4651	C₂²	1	1	yes	characteristic
177	#4651	C₂²	1	1	yes	characteristic
178	#4651	C₂²	1	1	yes	characteristic
179	#4650	C₂²	1	1	yes	characteristic
180	#4650	C₂²	1	1	yes	characteristic
181	#4649	C₂²	1	1	yes	characteristic
182	#4649	C₂²	1	1	yes	characteristic
183	#4649	C₂²	1	1	yes	characteristic
184	#4649	C₂²	1	1	yes	characteristic
185	#4646	C₂²	1	1	yes	characteristic
186	#4646	C₂²	1	1	yes	characteristic
187	#4646	C₂²	1	1	yes	characteristic
188	#2837	—	3	1	no	—
189	#2832	—	3	1	no	—
190	#2781	—	3	1	no	—
191	#2770	—	3	1	no	—
192	#2757	—	3	1	no	—
193	#2756	—	3	1	no	—
194	#2753	—	3	1	no	—
195	#2747	—	3	1	no	—
196	#2723	—	3	1	no	—
197	#2702	—	3	1	no	—
198	#2666	—	3	1	no	—
199	#2666	—	3	1	no	—
200	#2654	—	3	1	no	—
201	#2638	—	3	1	no	—
202	#2637	—	3	1	no	—
203	#2575	—	3	1	no	—
204	#2574	—	3	1	no	—
205	#2564	—	3	1	no	—
206	#2525	—	3	1	no	—
207	#2524	—	3	1	no	—
208	#2523	—	3	1	no	—
209	#2515	—	3	1	no	—
210	#2508	—	3	1	no	—
211	#2469	—	3	1	no	—
212	#2468	D₃	1	1	yes	characteristic, complemented
213	#2466	—	3	1	no	—
214	#2438	—	3	1	no	—
215	#2392	—	3	1	no	—
216	#2362	—	3	1	no	—
217	#2357	—	3	1	no	—
218	#2318	—	3	1	no	—
219	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
220	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
221	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
222	C₂²×#67	C₂³	1	1	yes	characteristic
223	C₂²×#67	C₂³	1	1	yes	characteristic
224	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
225	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
226	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
227	C₂²×Dic₆	C₂³	1	1	yes	characteristic
228	C₂²×Dic₆	C₂³	1	1	yes	characteristic
229	C₃×#126	—	4	2	no	—
230	C₃×C₄×D₄	—	4	2	no	—
231	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₃×C₄⋊C₄	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×C₂²⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
248	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
249	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
250	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
251	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
252	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
253	C₂×#217	C₂³	1	1	yes	characteristic
254	C₂×#217	C₂³	1	1	yes	characteristic
255	C₂×#217	C₂³	1	1	yes	characteristic
256	C₂×#217	C₂³	1	1	yes	characteristic
257	C₂×#217	C₂³	1	1	yes	characteristic
258	C₂×#217	C₂³	1	1	yes	characteristic
259	C₂×#217	C₂³	1	1	yes	characteristic
260	C₂×#217	C₂³	1	1	yes	characteristic
261	C₂×#217	C₂³	1	1	yes	characteristic
262	C₂×#217	C₂³	1	1	yes	characteristic
263	C₂×#217	C₂³	1	1	yes	characteristic
264	C₂×#217	C₂³	1	1	yes	characteristic
265	C₂×#217	C₂³	1	1	yes	characteristic
266	C₂×#217	C₂³	1	1	yes	characteristic
267	C₄×#67	—	2	4	no	—
268	C₄×#67	—	2	4	no	—
269	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
280	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
281	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
282	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
283	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
284	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
285	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
286	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
287	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
298	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×Dic₃⋊C₄	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×C₄×Dic₃	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
315	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
316	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
317	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
318	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
319	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
320	#897	—	4	2	no	—
321	#896	—	2	4	no	—
322	#879	—	4	2	no	—
323	#872	—	4	2	no	—
324	C₄×Dic₆	—	4	2	no	—
325	C₃×#95	C₂³	1	1	yes	characteristic
326	C₃×#95	C₂³	1	1	yes	characteristic
327	C₃×#95	C₂³	1	1	yes	characteristic
328	C₃×#95	C₂³	1	1	yes	characteristic
329	C₃×#95	C₂³	1	1	yes	characteristic
330	C₃×#95	C₂³	1	1	yes	characteristic
331	C₃×#95	C₂³	1	1	yes	characteristic
332	C₃×#95	C₂³	1	1	yes	characteristic
333	C₃×#95	C₂³	1	1	yes	characteristic
334	C₃×#95	C₂³	1	1	yes	characteristic
335	C₃⋊#95	C₂³	1	1	yes	characteristic
336	C₃⋊#95	C₂³	1	1	yes	characteristic
337	C₃⋊#95	C₂³	1	1	yes	characteristic
338	C₃⋊#95	C₂³	1	1	yes	characteristic
339	C₃⋊#95	C₂³	1	1	yes	characteristic
340	C₃⋊#95	C₂³	1	1	yes	characteristic
341	C₃⋊#95	C₂³	1	1	yes	characteristic
342	C₃⋊#95	C₂³	1	1	yes	characteristic
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	C₂×#126	—	3	1	no	—
384	C₂×#126	C₂×D₃	1	1	yes	characteristic
385	C₂×C₂²⋊Q₈	—	3	1	no	—
386	C₂×C₂²⋊Q₈	—	3	1	no	—
387	C₂×C₄×Q₈	—	3	1	no	—
388	C₂×C₄×D₄	—	3	1	no	—
389	C₂×C₄×D₄	—	3	1	no	—
390	C₂×C₄×D₄	C₂×D₃	1	1	yes	characteristic
391	C₂×#117	—	3	1	no	—
392	#400	—	3	1	no	—
393	#400	—	3	1	no	—
394	#400	—	3	1	no	—
395	#400	—	3	1	no	—
396	#400	—	3	1	no	—
397	#400	—	3	1	no	—
398	#400	—	3	1	no	—
399	#400	—	3	1	no	—
400	#400	—	3	1	no	—
401	#399	—	3	1	no	—
402	#399	—	3	1	no	—
403	#398	—	3	1	no	—
404	#398	—	3	1	no	—
405	#398	—	3	1	no	—
406	#398	—	3	1	no	—
407	#398	—	3	1	no	—
408	#398	—	3	1	no	—
409	#398	—	3	1	no	—
410	#398	—	3	1	no	—
411	#398	—	3	1	no	—
412	#398	—	3	1	no	—
413	#398	C₂×D₃	1	1	yes	characteristic
414	#398	C₂×D₃	1	1	yes	characteristic
415	#397	—	3	1	no	—
416	#397	—	3	1	no	—
417	#397	—	3	1	no	—
418	#397	—	3	1	no	—
419	#397	—	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	#396	—	3	1	no	—
426	#396	—	3	1	no	—
427	#396	—	3	1	no	—
428	#396	—	3	1	no	—
429	#396	—	3	1	no	—
430	#395	—	3	1	no	—
431	#395	—	3	1	no	—
432	#395	—	3	1	no	—
433	#395	—	3	1	no	—
434	#394	—	3	1	no	—
435	#394	—	3	1	no	—
436	#394	—	3	1	no	—
437	#394	—	3	1	no	—
438	#394	—	3	1	no	—
439	#394	—	3	1	no	—
440	#394	—	3	1	no	—
441	#394	C₂×D₃	1	1	yes	characteristic
442	#394	C₂×D₃	1	1	yes	characteristic
443	#393	—	3	1	no	—
444	#393	—	3	1	no	—
445	#393	—	3	1	no	—
446	#393	—	3	1	no	—
447	#392	—	3	1	no	—
448	#391	—	3	1	no	—
449	#391	—	3	1	no	—
450	#391	—	3	1	no	—
451	#390	—	3	1	no	—
452	#390	—	3	1	no	—
453	#389	—	3	1	no	—
454	#389	—	3	1	no	—
455	#389	—	3	1	no	—
456	#389	—	3	1	no	—
457	#389	—	3	1	no	—
458	#389	—	3	1	no	—
459	#388	—	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	C₂×D₃	1	1	yes	characteristic
477	#388	C₂×D₃	1	1	yes	characteristic
478	#388	C₂×D₃	1	1	yes	characteristic
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	#387	—	3	1	no	—
493	#387	—	3	1	no	—
494	#387	—	3	1	no	—
495	#387	—	3	1	no	—
496	#387	—	3	1	no	—
497	#387	C₂×D₃	1	1	yes	characteristic
498	#386	—	3	1	no	—
499	#386	—	3	1	no	—
500	#386	—	3	1	no	—
501	#386	—	3	1	no	—
502	#385	—	3	1	no	—
503	#385	—	3	1	no	—
504	#385	—	3	1	no	—
505	#385	—	3	1	no	—
506	#385	—	3	1	no	—
507	#385	—	3	1	no	—
508	#385	C₂×D₃	1	1	yes	characteristic
509	#385	C₂×D₃	1	1	yes	characteristic
510	#383	—	3	1	no	—
511	#383	—	3	1	no	—
512	#383	—	3	1	no	—
513	#383	—	3	1	no	—
514	#382	—	3	1	no	—
515	#382	—	3	1	no	—
516	#382	—	3	1	no	—
517	#382	—	3	1	no	—
518	#382	—	3	1	no	—
519	#381	—	3	1	no	—
520	#381	—	3	1	no	—
521	#381	C₂×D₃	1	1	yes	characteristic
522	#380	—	3	1	no	—
523	#380	—	3	1	no	—
524	#380	—	3	1	no	—
525	#380	C₂×D₃	1	1	yes	characteristic
526	C₄×C₄⋊C₄	—	3	1	no	—
527	C₄×C₄⋊C₄	—	3	1	no	—
528	C₄×C₄⋊C₄	—	3	1	no	—
529	C₄×C₄⋊C₄	—	3	1	no	—
530	C₄×C₄⋊C₄	—	3	1	no	—
531	C₄×C₄⋊C₄	—	3	1	no	—
532	C₄×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
533	C₄×C₂²⋊C₄	—	3	1	no	—
534	C₄×C₂²⋊C₄	—	3	1	no	—
535	C₄×C₂²⋊C₄	—	3	1	no	—
536	C₄×C₂²⋊C₄	—	3	1	no	—
537	C₂×#95	—	3	1	no	—
538	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
539	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
540	C₂³×D₃	C₂⁴	1	1	yes	characteristic
541	C₂×C₃×D₄	—	4	1	no	—
542	C₂×C₃×D₄	—	4	1	no	—
543	C₂×C₃×D₄	—	4	1	no	—
544	C₂²×C₃×C₄	—	2	2	no	—
545	C₂²×C₃×C₄	—	2	2	no	—
546	C₂²×C₃×C₄	—	4	1	no	—
547	C₂²×C₃×C₄	—	4	1	no	—
548	C₂²×C₃×C₄	—	4	1	no	—
549	C₂²×C₃×C₄	—	4	1	no	—
550	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
551	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
552	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
553	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
554	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
555	C₂²×C₃×C₄	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	C₂×#67	—	2	2	no	—
564	C₂×#67	—	2	2	no	—
565	C₂×#67	—	2	2	no	—
566	C₂×#67	—	4	1	no	—
567	C₂×#67	—	4	1	no	—
568	C₂×#67	—	4	1	no	—
569	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
570	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
571	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
572	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
573	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
574	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
575	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
576	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
577	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
578	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
579	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
580	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
581	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
582	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
583	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
584	C₂×C₄×D₃	—	4	1	no	—
585	C₂×C₄×D₃	—	4	1	no	—
586	C₂×C₄×D₃	—	4	1	no	—
587	C₂×C₄×D₃	—	4	1	no	—
588	C₂×C₄×D₃	—	4	1	no	—
589	C₂×C₄×D₃	—	4	1	no	—
590	C₂×C₄×D₃	—	4	1	no	—
591	C₂×C₄×D₃	—	4	1	no	—
592	C₂×C₄×D₃	#41	1	4	yes	—
593	C₂×Dic₆	—	2	2	no	—
594	C₂×Dic₆	—	4	1	no	—
595	C₂×Dic₆	—	4	1	no	—
596	C₂×Dic₆	—	4	1	no	—
597	C₂×Dic₆	—	4	1	no	—
598	C₂×Dic₆	—	4	1	no	—
599	C₃×C₄⋊C₄	—	2	2	no	—
600	C₃×C₄⋊C₄	—	2	2	no	—
601	C₃×C₄⋊C₄	—	4	1	no	—
602	C₃×C₄⋊C₄	—	4	1	no	—
603	C₃×C₄⋊C₄	—	4	1	no	—
604	C₃×C₄⋊C₄	—	4	1	no	—
605	C₃×C₄⋊C₄	—	4	1	no	—
606	C₃×C₄⋊C₄	—	4	1	no	—
607	C₃×C₄⋊C₄	—	4	1	no	—
608	C₃×C₂²⋊C₄	—	2	2	no	—
609	C₃×C₂²⋊C₄	—	2	2	no	—
610	C₃×C₂²⋊C₄	—	4	1	no	—
611	C₃×C₂²⋊C₄	—	4	1	no	—
612	C₃×C₂²⋊C₄	—	4	1	no	—
613	C₃×C₂²⋊C₄	—	4	1	no	—
614	C₃×C₂²⋊C₄	—	4	1	no	—
615	C₃×C₂²⋊C₄	—	4	1	no	—
616	C₃×C₂²⋊C₄	—	4	1	no	—
617	C₃×C₂²⋊C₄	—	4	1	no	—
618	C₃×C₄²	—	2	2	no	—
619	C₃×C₄²	—	2	2	no	—
620	C₃×C₄²	—	4	1	no	—
621	#217	—	2	2	no	—
622	#217	—	2	2	no	—
623	#217	—	2	2	no	—
624	#217	—	4	1	no	—
625	#217	—	4	1	no	—
626	#217	—	4	1	no	—
627	#217	—	4	1	no	—
628	#217	—	4	1	no	—
629	#217	—	4	1	no	—
630	#217	—	4	1	no	—
631	#217	—	4	1	no	—
632	#217	—	4	1	no	—
633	#217	—	4	1	no	—
634	#217	—	4	1	no	—
635	(C₂×D₃)⋊C₄	—	2	2	no	—
636	(C₂×D₃)⋊C₄	—	2	2	no	—
637	(C₂×D₃)⋊C₄	—	2	2	no	—
638	(C₂×D₃)⋊C₄	—	2	2	no	—
639	(C₂×D₃)⋊C₄	—	2	2	no	—
640	(C₂×D₃)⋊C₄	—	4	1	no	—
641	(C₂×D₃)⋊C₄	—	4	1	no	—
642	(C₂×D₃)⋊C₄	—	4	1	no	—
643	(C₂×D₃)⋊C₄	—	4	1	no	—
644	(C₂×D₃)⋊C₄	—	4	1	no	—
645	C₄⋊Dic₃	—	2	2	no	—
646	C₄⋊Dic₃	—	2	2	no	—
647	C₄⋊Dic₃	—	4	1	no	—
648	C₄⋊Dic₃	—	4	1	no	—
649	C₄⋊Dic₃	—	4	1	no	—
650	C₄⋊Dic₃	—	4	1	no	—
651	C₄⋊Dic₃	—	4	1	no	—
652	C₄⋊Dic₃	—	4	1	no	—
653	Dic₃⋊C₄	—	2	2	no	—
654	Dic₃⋊C₄	—	2	2	no	—
655	Dic₃⋊C₄	—	2	2	no	—
656	Dic₃⋊C₄	—	2	2	no	—
657	Dic₃⋊C₄	—	2	2	no	—
658	Dic₃⋊C₄	—	2	2	no	—
659	Dic₃⋊C₄	—	4	1	no	—
660	Dic₃⋊C₄	—	4	1	no	—
661	Dic₃⋊C₄	—	4	1	no	—
662	Dic₃⋊C₄	—	4	1	no	—
663	Dic₃⋊C₄	—	4	1	no	—
664	Dic₃⋊C₄	—	4	1	no	—
665	Dic₃⋊C₄	—	4	1	no	—
666	Dic₃⋊C₄	—	4	1	no	—
667	Dic₃⋊C₄	—	4	1	no	—
668	Dic₃⋊C₄	—	4	1	no	—
669	Dic₃⋊C₄	—	4	1	no	—
670	Dic₃⋊C₄	—	4	1	no	—
671	Dic₃⋊C₄	—	4	1	no	—
672	Dic₃⋊C₄	—	4	1	no	—
673	Dic₃⋊C₄	—	4	1	no	—
674	Dic₃⋊C₄	—	4	1	no	—
675	C₄×Dic₃	—	2	2	no	—
676	C₄×Dic₃	—	2	2	no	—
677	C₄×Dic₃	—	2	2	no	—
678	C₄×Dic₃	—	2	2	no	—
679	C₄×Dic₃	—	4	1	no	—
680	C₄×Dic₃	—	4	1	no	—
681	C₄×Dic₃	—	4	1	no	—
682	C₄×Dic₃	—	4	1	no	—
683	C₄×Dic₃	—	4	1	no	—
684	C₄×Dic₃	—	4	1	no	—
685	C₄×Dic₃	—	4	1	no	—
686	C₂²×Q₈	—	3	1	no	—
687	C₂²×Q₈	—	3	1	no	—
688	C₂²×D₄	—	3	1	no	—
689	C₂²×D₄	—	3	1	no	—
690	C₂²×D₄	C₂²×D₃	1	1	yes	characteristic
691	C₂³×C₄	—	3	1	no	—
692	C₂³×C₄	—	3	1	no	—
693	C₂³×C₄	—	3	1	no	—
694	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
695	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
696	#126	—	4	2	no	—
697	#126	—	12	2	no	—
698	C₂²⋊Q₈	—	6	4	no	—
699	C₂²⋊Q₈	—	12	2	no	—
700	C₄×Q₈	—	12	2	no	—
701	C₄×D₄	—	4	2	no	—
702	C₄×D₄	—	6	4	no	—
703	C₄×D₄	—	6	4	no	—
704	#117	—	12	2	no	—
705	C₂×C₄⋊C₄	—	3	1	no	—
706	C₂×C₄⋊C₄	—	3	1	no	—
707	C₂×C₄⋊C₄	—	3	1	no	—
708	C₂×C₄⋊C₄	—	3	1	no	—
709	C₂×C₄⋊C₄	—	3	1	no	—
710	C₂×C₄⋊C₄	—	3	1	no	—
711	C₂×C₄⋊C₄	—	3	1	no	—
712	C₂×C₄⋊C₄	—	3	1	no	—
713	C₂×C₄⋊C₄	—	3	1	no	—
714	C₂×C₄⋊C₄	—	3	1	no	—
715	C₂×C₄⋊C₄	—	3	1	no	—
716	C₂×C₄⋊C₄	—	3	1	no	—
717	C₂×C₄⋊C₄	—	3	1	no	—
718	C₂×C₄⋊C₄	—	3	1	no	—
719	C₂×C₄⋊C₄	—	3	1	no	—
720	C₂×C₄⋊C₄	—	3	1	no	—
721	C₂×C₄⋊C₄	—	3	1	no	—
722	C₂×C₄⋊C₄	—	3	1	no	—
723	C₂×C₄⋊C₄	—	3	1	no	—
724	C₂×C₄⋊C₄	—	3	1	no	—
725	C₂×C₄⋊C₄	—	3	1	no	—
726	C₂×C₄⋊C₄	—	3	1	no	—
727	C₂×C₄⋊C₄	—	3	1	no	—
728	C₂×C₄⋊C₄	—	3	1	no	—
729	C₂×C₄⋊C₄	—	3	1	no	—
730	C₂×C₄⋊C₄	—	3	1	no	—
731	C₂×C₄⋊C₄	—	3	1	no	—
732	C₂×C₄⋊C₄	—	3	1	no	—
733	C₂×C₄⋊C₄	—	3	1	no	—
734	C₂×C₄⋊C₄	—	3	1	no	—
735	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
736	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
737	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
738	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
739	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
740	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
741	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
742	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
743	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
744	C₂×C₂²⋊C₄	—	3	1	no	—
745	C₂×C₂²⋊C₄	—	3	1	no	—
746	C₂×C₂²⋊C₄	—	3	1	no	—
747	C₂×C₂²⋊C₄	—	3	1	no	—
748	C₂×C₂²⋊C₄	—	3	1	no	—
749	C₂×C₂²⋊C₄	—	3	1	no	—
750	C₂×C₂²⋊C₄	—	3	1	no	—
751	C₂×C₂²⋊C₄	—	3	1	no	—
752	C₂×C₂²⋊C₄	—	3	1	no	—
753	C₂×C₂²⋊C₄	—	3	1	no	—
754	C₂×C₂²⋊C₄	—	3	1	no	—
755	C₂×C₂²⋊C₄	—	3	1	no	—
756	C₂×C₂²⋊C₄	—	3	1	no	—
757	C₂×C₂²⋊C₄	—	3	1	no	—
758	C₂×C₂²⋊C₄	—	3	1	no	—
759	C₂×C₂²⋊C₄	—	3	1	no	—
760	C₂×C₂²⋊C₄	—	3	1	no	—
761	C₂×C₂²⋊C₄	—	3	1	no	—
762	C₂×C₂²⋊C₄	—	3	1	no	—
763	C₂×C₂²⋊C₄	—	3	1	no	—
764	C₂×C₂²⋊C₄	—	3	1	no	—
765	C₂×C₂²⋊C₄	—	3	1	no	—
766	C₂×C₂²⋊C₄	—	3	1	no	—
767	C₂×C₂²⋊C₄	—	3	1	no	—
768	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
769	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
770	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
771	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
772	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
773	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
774	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
775	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
776	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
777	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
778	C₂×C₄²	—	3	1	no	—
779	C₂×C₄²	—	3	1	no	—
780	C₂×C₄²	—	3	1	no	—
781	C₂×C₄²	—	3	1	no	—
782	C₂×C₄²	—	3	1	no	—
783	C₂×C₄²	—	3	1	no	—
784	C₂×C₄²	—	3	1	no	—
785	C₂×C₄²	—	3	1	no	—
786	C₂×C₄²	—	3	1	no	—
787	C₂×C₄²	—	3	1	no	—
788	C₂×C₄²	—	3	1	no	—
789	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
790	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
791	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
792	#95	—	3	1	no	—
793	#95	—	3	1	no	—
794	#95	—	3	1	no	—
795	#95	—	3	1	no	—
796	#95	—	3	1	no	—
797	#95	—	3	1	no	—
798	#95	—	3	1	no	—
799	#95	—	3	1	no	—
800	#95	—	3	1	no	—
801	#95	—	3	1	no	—
802	#95	—	3	1	no	—
803	#95	—	3	1	no	—
804	#95	—	3	1	no	—
805	#95	—	3	1	no	—
806	#95	—	3	1	no	—
807	#95	—	3	1	no	—
808	#95	—	3	1	no	—
809	#95	—	3	1	no	—
810	#95	—	3	1	no	—
811	#95	—	3	1	no	—
812	#95	—	3	1	no	—
813	#95	—	3	1	no	—
814	#95	—	3	1	no	—
815	#95	—	3	1	no	—
816	#95	—	3	1	no	—
817	#95	—	3	1	no	—
818	#95	—	3	1	no	—
819	#95	—	3	1	no	—
820	#95	—	3	1	no	—
821	#95	—	3	1	no	—
822	#95	—	3	1	no	—
823	#95	—	3	1	no	—
824	#95	—	3	1	no	—
825	#95	—	3	1	no	—
826	#95	—	3	1	no	—
827	#95	—	3	1	no	—
828	#95	—	3	1	no	—
829	#95	—	3	1	no	—
830	#95	—	3	1	no	—
831	#95	—	3	1	no	—
832	#95	—	3	1	no	—
833	#95	—	3	1	no	—
834	#95	—	3	1	no	—
835	#95	—	3	1	no	—
836	#95	—	3	1	no	—
837	#95	—	3	1	no	—
838	#95	—	3	1	no	—
839	#95	—	3	1	no	—
840	#95	C₂²×D₃	1	1	yes	characteristic
841	#95	C₂²×D₃	1	1	yes	characteristic
842	#95	C₂²×D₃	1	1	yes	characteristic
843	#95	C₂²×D₃	1	1	yes	characteristic
844	#95	C₂²×D₃	1	1	yes	characteristic
845	#95	C₂²×D₃	1	1	yes	characteristic
846	#95	C₂²×D₃	1	1	yes	characteristic
847	#95	C₂²×D₃	1	1	yes	characteristic
848	#95	C₂²×D₃	1	1	yes	characteristic
849	#95	C₂²×D₃	1	1	yes	characteristic
850	C₂³×C₃	—	2	1	no	—
851	C₂³×C₃	—	2	1	no	—
852	C₂³×C₃	—	2	1	no	—
853	C₂³×C₃	—	2	1	no	—
854	C₂³×C₃	—	2	1	no	—
855	C₂³×C₃	—	2	1	no	—
856	C₂³×C₃	—	2	1	no	—
857	C₂³×C₃	—	2	1	no	—
858	C₂³×C₃	—	2	1	no	—
859	C₂³×C₃	—	2	1	no	—
860	C₂³×C₃	—	2	1	no	—
861	C₂³×C₃	—	2	1	no	—
862	C₂³×C₃	—	2	1	no	—
863	C₂³×C₃	—	2	1	no	—
864	C₂³×C₃	C₂⁵	1	1	yes	characteristic
865	C₂²×D₃	—	2	1	no	—
866	C₂²×D₃	—	2	1	no	—
867	C₂²×D₃	—	2	1	no	—
868	C₂²×D₃	—	2	1	no	—
869	C₂²×D₃	—	2	1	no	—
870	C₂²×D₃	—	2	1	no	—
871	C₂²×D₃	C₂×#41	1	2	yes	—
872	C₃×D₄	—	4	4	no	—
873	C₂×C₃×C₄	—	2	1	no	—
874	C₂×C₃×C₄	—	2	1	no	—
875	C₂×C₃×C₄	—	2	1	no	—
876	C₂×C₃×C₄	—	2	1	no	—
877	C₂×C₃×C₄	—	2	1	no	—
878	C₂×C₃×C₄	—	2	1	no	—
879	C₂×C₃×C₄	—	2	1	no	—
880	C₂×C₃×C₄	—	2	1	no	—
881	C₂×C₃×C₄	—	2	1	no	—
882	C₂×C₃×C₄	—	2	1	no	—
883	C₂×C₃×C₄	—	2	1	no	—
884	C₂×C₃×C₄	—	2	1	no	—
885	C₂×C₃×C₄	—	2	1	no	—
886	C₂×C₃×C₄	—	2	1	no	—
887	C₂×C₃×C₄	—	2	1	no	—
888	C₂×C₃×C₄	—	2	1	no	—
889	C₂×C₃×C₄	—	2	1	no	—
890	C₂×C₃×C₄	—	2	1	no	—
891	C₂×C₃×C₄	—	2	1	no	—
892	C₂×C₃×C₄	—	2	1	no	—
893	C₂×C₃×C₄	—	2	1	no	—
894	C₂×C₃×C₄	—	2	1	no	—
895	C₂×C₃×C₄	—	2	1	no	—
896	C₂×C₃×C₄	—	2	1	no	—
897	C₂×C₃×C₄	—	2	1	no	—
898	C₂×C₃×C₄	—	2	1	no	—
899	C₂×C₃×C₄	—	2	1	no	—
900	C₂×C₃×C₄	—	2	1	no	—
901	C₂×C₃×C₄	—	2	1	no	—
902	C₂×C₃×C₄	—	2	1	no	—
903	C₂×C₃×C₄	—	2	1	no	—
904	C₂×C₃×C₄	—	2	1	no	—
905	C₂×C₃×C₄	—	2	1	no	—
906	C₂×C₃×C₄	—	2	1	no	—
907	C₂×C₃×C₄	—	2	1	no	—
908	C₂×C₃×C₄	—	2	1	no	—
909	C₂×C₃×C₄	—	2	1	no	—
910	C₂×C₃×C₄	—	8	2	no	—
911	C₂×C₃×C₄	—	8	2	no	—
912	C₂×C₃×C₄	C₂×#41	1	2	yes	—
913	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
914	#67	—	4	4	no	—
915	#67	—	4	4	no	—
916	C₂×Dic₃	—	2	1	no	—
917	C₂×Dic₃	—	2	1	no	—
918	C₂×Dic₃	—	2	1	no	—
919	C₂×Dic₃	—	2	1	no	—
920	C₂×Dic₃	—	2	1	no	—
921	C₂×Dic₃	—	2	1	no	—
922	C₂×Dic₃	—	2	1	no	—
923	C₂×Dic₃	—	2	1	no	—
924	C₂×Dic₃	—	2	1	no	—
925	C₂×Dic₃	—	2	1	no	—
926	C₂×Dic₃	—	2	1	no	—
927	C₂×Dic₃	—	2	1	no	—
928	C₂×Dic₃	—	2	1	no	—
929	C₂×Dic₃	—	2	1	no	—
930	C₂×Dic₃	—	2	1	no	—
931	C₂×Dic₃	—	2	1	no	—
932	C₂×Dic₃	—	2	1	no	—
933	C₂×Dic₃	—	2	1	no	—
934	C₂×Dic₃	—	2	1	no	—
935	C₂×Dic₃	—	2	1	no	—
936	C₂×Dic₃	—	2	1	no	—
937	C₂×Dic₃	—	2	1	no	—
938	C₂×Dic₃	—	2	1	no	—
939	C₂×Dic₃	—	2	1	no	—
940	C₂×Dic₃	—	2	1	no	—
941	C₂×Dic₃	—	2	1	no	—
942	C₂×Dic₃	—	2	1	no	—
943	C₂×Dic₃	—	2	1	no	—
944	C₂×Dic₃	—	2	1	no	—
945	C₂×Dic₃	—	2	1	no	—
946	C₂×Dic₃	—	2	1	no	—
947	C₂×Dic₃	—	2	1	no	—
948	C₂×Dic₃	—	2	1	no	—
949	C₂×Dic₃	—	2	1	no	—
950	C₂×Dic₃	—	2	1	no	—
951	C₂×Dic₃	—	2	1	no	—
952	C₂×Dic₃	—	2	1	no	—
953	C₂×Dic₃	—	2	1	no	—
954	C₂×Dic₃	—	2	1	no	—
955	C₂×Dic₃	—	2	1	no	—
956	C₂×Dic₃	—	2	1	no	—
957	C₂×Dic₃	—	2	1	no	—
958	C₂×Dic₃	—	2	1	no	—
959	C₂×Dic₃	C₂×#41	1	2	yes	—
960	C₂×Dic₃	2₋¹⁺⁴	1	2	yes	—
961	C₄×D₃	—	4	4	no	—
962	C₄×D₃	—	8	2	no	—
963	C₄×D₃	—	8	2	no	—
964	Dic₆	—	4	4	no	—
965	Dic₆	—	8	2	no	—
966	C₂⁴	—	3	1	no	—
967	C₂⁴	C₂³×D₃	1	1	yes	characteristic
968	C₂⁴	C₂³×D₃	1	1	yes	characteristic
969	C₂×Q₈	—	6	2	no	—
970	C₂×Q₈	—	12	1	no	—
971	C₂×Q₈	—	12	1	no	—
972	C₂×Q₈	—	12	1	no	—
973	C₂×Q₈	—	12	1	no	—
974	C₂×Q₈	—	12	1	no	—
975	C₂×D₄	—	4	1	no	—
976	C₂×D₄	—	4	1	no	—
977	C₂×D₄	—	4	1	no	—
978	C₂×D₄	—	6	2	no	—
979	C₂×D₄	—	6	2	no	—
980	C₂×D₄	—	6	2	no	—
981	C₂×D₄	—	12	1	no	—
982	C₂×D₄	—	12	1	no	—
983	C₂×D₄	—	12	1	no	—
984	C₂²×C₄	—	2	2	no	—
985	C₂²×C₄	—	2	2	no	—
986	C₂²×C₄	—	3	1	no	—
987	C₂²×C₄	—	3	1	no	—
988	C₂²×C₄	—	3	4	no	—
989	C₂²×C₄	—	3	1	no	—
990	C₂²×C₄	—	3	1	no	—
991	C₂²×C₄	—	3	1	no	—
992	C₂²×C₄	—	3	1	no	—
993	C₂²×C₄	—	3	1	no	—
994	C₂²×C₄	—	3	1	no	—
995	C₂²×C₄	—	3	1	no	—
996	C₂²×C₄	—	3	1	no	—
997	C₂²×C₄	—	3	1	no	—
998	C₂²×C₄	—	3	1	no	—
999	C₂²×C₄	—	3	1	no	—
1000	C₂²×C₄	—	3	1	no	—
1001	C₂²×C₄	—	3	1	no	—
1002	C₂²×C₄	—	4	1	no	—
1003	C₂²×C₄	—	4	1	no	—
1004	C₂²×C₄	—	4	1	no	—
1005	C₂²×C₄	—	4	1	no	—
1006	C₂²×C₄	—	12	1	no	—
1007	C₂²×C₄	—	12	1	no	—
1008	C₂²×C₄	—	12	1	no	—
1009	C₂²×C₄	—	12	1	no	—
1010	C₂²×C₄	—	12	1	no	—
1011	C₂²×C₄	—	12	1	no	—
1012	C₂²×C₄	—	12	1	no	—
1013	C₂²×C₄	—	12	1	no	—
1014	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1015	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1016	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1017	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1018	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1019	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1020	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1021	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1022	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1023	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1024	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1025	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1026	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1027	C₄⋊C₄	—	2	2	no	—
1028	C₄⋊C₄	—	2	2	no	—
1029	C₄⋊C₄	—	4	1	no	—
1030	C₄⋊C₄	—	4	1	no	—
1031	C₄⋊C₄	—	4	1	no	—
1032	C₄⋊C₄	—	4	1	no	—
1033	C₄⋊C₄	—	4	1	no	—
1034	C₄⋊C₄	—	4	1	no	—
1035	C₄⋊C₄	—	4	1	no	—
1036	C₄⋊C₄	—	6	2	no	—
1037	C₄⋊C₄	—	6	2	no	—
1038	C₄⋊C₄	—	6	2	no	—
1039	C₄⋊C₄	—	6	2	no	—
1040	C₄⋊C₄	—	6	2	no	—
1041	C₄⋊C₄	—	6	2	no	—
1042	C₄⋊C₄	—	6	2	no	—
1043	C₄⋊C₄	—	6	2	no	—
1044	C₄⋊C₄	—	12	1	no	—
1045	C₄⋊C₄	—	12	1	no	—
1046	C₄⋊C₄	—	12	1	no	—
1047	C₄⋊C₄	—	12	1	no	—
1048	C₄⋊C₄	—	12	1	no	—
1049	C₄⋊C₄	—	12	1	no	—
1050	C₄⋊C₄	—	12	1	no	—
1051	C₄⋊C₄	—	12	1	no	—
1052	C₄⋊C₄	—	12	1	no	—
1053	C₄⋊C₄	—	12	1	no	—
1054	C₄⋊C₄	—	12	1	no	—
1055	C₄⋊C₄	—	12	1	no	—
1056	C₄⋊C₄	—	12	1	no	—
1057	C₄⋊C₄	—	12	1	no	—
1058	C₄⋊C₄	—	12	1	no	—
1059	C₄⋊C₄	—	12	1	no	—
1060	C₄⋊C₄	—	12	1	no	—
1061	C₄⋊C₄	—	12	1	no	—
1062	C₄⋊C₄	—	12	1	no	—
1063	C₄⋊C₄	—	12	1	no	—
1064	C₄⋊C₄	—	12	1	no	—
1065	C₄⋊C₄	—	12	1	no	—
1066	C₂²⋊C₄	—	2	2	no	—
1067	C₂²⋊C₄	—	2	2	no	—
1068	C₂²⋊C₄	—	4	1	no	—
1069	C₂²⋊C₄	—	4	1	no	—
1070	C₂²⋊C₄	—	4	1	no	—
1071	C₂²⋊C₄	—	4	1	no	—
1072	C₂²⋊C₄	—	4	1	no	—
1073	C₂²⋊C₄	—	4	1	no	—
1074	C₂²⋊C₄	—	4	1	no	—
1075	C₂²⋊C₄	—	4	1	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	—	12	1	no	—
1085	C₂²⋊C₄	—	12	1	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	1	no	—
1099	C₂²⋊C₄	—	12	1	no	—
1100	C₄²	—	2	2	no	—
1101	C₄²	—	2	2	no	—
1102	C₄²	—	4	1	no	—
1103	C₄²	—	6	2	no	—
1104	C₄²	—	6	2	no	—
1105	C₄²	—	6	2	no	—
1106	C₄²	—	6	2	no	—
1107	C₄²	—	12	1	no	—
1108	C₄²	—	12	1	no	—
1109	C₄²	—	12	1	no	—
1110	C₄²	—	12	1	no	—
1111	C₄²	—	12	1	no	—
1112	C₄²	—	12	1	no	—
1113	C₄²	—	12	1	no	—
1114	C₂²×C₃	—	4	1	no	—
1115	C₂²×C₃	—	4	1	no	—
1116	C₂²×C₃	—	4	1	no	—
1117	C₂²×C₃	—	4	1	no	—
1118	C₂²×C₃	—	4	1	no	—
1119	C₂²×C₃	—	4	1	no	—
1120	C₂²×C₃	—	4	1	no	—
1121	C₂²×C₃	—	4	1	no	—
1122	C₂²×C₃	—	4	1	no	—
1123	C₂²×C₃	—	4	1	no	—
1124	C₂²×C₃	—	4	1	no	—
1125	C₂²×C₃	—	4	1	no	—
1126	C₂²×C₃	—	4	1	no	—
1127	C₂²×C₃	—	4	1	no	—
1128	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1129	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1130	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1131	C₂²×C₃	#585	1	1	yes	characteristic
1132	C₂²×C₃	#585	1	1	yes	characteristic
1133	C₂²×C₃	#585	1	1	yes	characteristic
1134	C₂²×C₃	#585	1	1	yes	characteristic
1135	C₂×D₃	—	2	2	no	—
1136	C₂×D₃	—	2	2	no	—
1137	C₂×D₃	—	2	2	no	—
1138	C₂×D₃	—	4	1	no	—
1139	C₂×D₃	—	4	1	no	—
1140	C₂×D₃	—	4	1	no	—
1141	C₂×D₃	—	4	1	no	—
1142	C₃×C₄	—	2	2	no	—
1143	C₃×C₄	—	2	2	no	—
1144	C₃×C₄	—	4	1	no	—
1145	C₃×C₄	—	4	1	no	—
1146	C₃×C₄	—	4	1	no	—
1147	C₃×C₄	—	4	1	no	—
1148	C₃×C₄	—	4	1	no	—
1149	C₃×C₄	—	4	1	no	—
1150	C₃×C₄	—	4	1	no	—
1151	C₃×C₄	—	4	1	no	—
1152	C₃×C₄	—	4	1	no	—
1153	C₃×C₄	—	4	1	no	—
1154	C₃×C₄	—	4	1	no	—
1155	Dic₃	—	2	2	no	—
1156	Dic₃	—	2	2	no	—
1157	Dic₃	—	4	1	no	—
1158	Dic₃	—	4	1	no	—
1159	Dic₃	—	4	1	no	—
1160	Dic₃	—	4	1	no	—
1161	Dic₃	—	4	1	no	—
1162	Dic₃	—	4	1	no	—
1163	Dic₃	—	4	1	no	—
1164	Dic₃	—	4	1	no	—
1165	Dic₃	—	4	1	no	—
1166	Dic₃	—	4	1	no	—
1167	Dic₃	—	4	1	no	—
1168	Dic₃	—	4	1	no	—
1169	Dic₃	—	4	1	no	—
1170	C₂³	—	2	1	no	—
1171	C₂³	—	2	1	no	—
1172	C₂³	—	2	1	no	—
1173	C₂³	—	2	1	no	—
1174	C₂³	—	2	1	no	—
1175	C₂³	—	2	1	no	—
1176	C₂³	—	2	1	no	—
1177	C₂³	—	2	1	no	—
1178	C₂³	—	2	1	no	—
1179	C₂³	—	2	1	no	—
1180	C₂³	—	2	1	no	—
1181	C₂³	—	2	1	no	—
1182	C₂³	—	2	1	no	—
1183	C₂³	—	2	1	no	—
1184	C₂³	—	3	2	no	—
1185	C₂³	—	6	1	no	—
1186	C₂³	—	6	1	no	—
1187	C₂³	—	6	1	no	—
1188	C₂³	—	6	1	no	—
1189	C₂³	—	6	1	no	—
1190	C₂³	—	6	1	no	—
1191	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1192	Q₈	—	12	4	no	—
1193	Q₈	—	24	2	no	—
1194	D₄	—	4	4	no	—
1195	D₄	—	12	4	no	—
1196	D₄	—	12	4	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	1	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	1	no	—
1216	C₂×C₄	—	2	1	no	—
1217	C₂×C₄	—	2	1	no	—
1218	C₂×C₄	—	2	1	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	1	no	—
1227	C₂×C₄	—	2	1	no	—
1228	C₂×C₄	—	2	1	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	3	2	no	—
1235	C₂×C₄	—	3	2	no	—
1236	C₂×C₄	—	6	1	no	—
1237	C₂×C₄	—	6	1	no	—
1238	C₂×C₄	—	6	1	no	—
1239	C₂×C₄	—	6	1	no	—
1240	C₂×C₄	—	6	1	no	—
1241	C₂×C₄	—	6	1	no	—
1242	C₂×C₄	—	6	1	no	—
1243	C₂×C₄	—	6	1	no	—
1244	C₂×C₄	—	6	1	no	—
1245	C₂×C₄	—	6	1	no	—
1246	C₂×C₄	—	6	1	no	—
1247	C₂×C₄	—	6	1	no	—
1248	C₂×C₄	—	6	1	no	—
1249	C₂×C₄	—	6	1	no	—
1250	C₂×C₄	—	6	1	no	—
1251	C₂×C₄	—	6	1	no	—
1252	C₂×C₄	—	6	1	no	—
1253	C₂×C₄	—	6	1	no	—
1254	C₂×C₄	—	6	1	no	—
1255	C₂×C₄	—	6	1	no	—
1256	C₂×C₄	—	6	1	no	—
1257	C₂×C₄	—	6	1	no	—
1258	C₂×C₄	—	6	1	no	—
1259	C₂×C₄	—	6	1	no	—
1260	C₂×C₄	—	6	1	no	—
1261	C₂×C₄	—	6	1	no	—
1262	C₂×C₄	—	6	1	no	—
1263	C₂×C₄	—	6	1	no	—
1264	C₂×C₄	—	6	1	no	—
1265	C₂×C₄	—	6	1	no	—
1266	C₂×C₄	—	6	1	no	—
1267	C₂×C₄	—	6	1	no	—
1268	C₂×C₄	—	6	1	no	—
1269	C₂×C₄	—	6	1	no	—
1270	C₂×C₄	—	6	1	no	—
1271	C₂×C₄	—	6	1	no	—
1272	C₂×C₄	—	6	1	no	—
1273	C₂×C₄	—	6	1	no	—
1274	C₂×C₄	—	6	1	no	—
1275	C₂×C₄	—	6	1	no	—
1276	C₂×C₄	—	6	1	no	—
1277	C₂×C₄	—	6	1	no	—
1278	C₂×C₄	—	6	1	no	—
1279	C₂×C₄	—	8	2	no	—
1280	C₂×C₄	—	8	2	no	—
1281	C₂×C₄	—	12	4	no	—
1282	C₂×C₄	—	24	2	no	—
1283	C₂×C₄	—	24	2	no	—
1284	C₂×C₄	#1004	1	2	yes	—
1285	C₂×C₄	D₃×#41	1	2	yes	—
1286	C₂×C₃	—	8	1	no	—
1287	C₂×C₃	—	8	1	no	—
1288	C₂×C₃	#3455	1	1	yes	characteristic
1289	C₂×C₃	#3495	1	1	yes	characteristic
1290	C₂×C₃	#3505	1	1	yes	characteristic
1291	C₂×C₃	#3540	1	1	yes	characteristic
1292	C₂×C₃	#3559	1	1	yes	characteristic
1293	C₂×C₃	#3565	1	1	yes	characteristic
1294	C₂×C₃	#3566	1	1	yes	characteristic
1295	D₃	—	4	2	no	—
1296	C₂²	—	4	1	no	—
1297	C₂²	—	4	1	no	—
1298	C₂²	—	4	1	no	—
1299	C₂²	—	4	1	no	—
1300	C₂²	—	4	1	no	—
1301	C₂²	—	4	1	no	—
1302	C₂²	—	4	1	no	—
1303	C₂²	—	4	1	no	—
1304	C₂²	—	4	1	no	—
1305	C₂²	—	4	1	no	—
1306	C₂²	—	4	1	no	—
1307	C₂²	—	4	1	no	—
1308	C₂²	—	4	1	no	—
1309	C₂²	—	4	1	no	—
1310	C₂²	—	6	2	no	—
1311	C₂²	—	6	2	no	—
1312	C₂²	—	6	2	no	—
1313	C₂²	—	12	1	no	—
1314	C₂²	—	12	1	no	—
1315	C₂²	—	12	1	no	—
1316	C₂²	—	12	1	no	—
1317	C₂²	C₂×#1004	1	1	yes	characteristic
1318	C₂²	C₂×D₃×#41	1	1	yes	characteristic
1319	C₂²	#5964	1	1	yes	characteristic
1320	C₂²	#5964	1	1	yes	characteristic
1321	C₂²	#5964	1	1	yes	characteristic
1322	C₂²	#5966	1	1	yes	characteristic
1323	C₂²	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1324	C₄	—	2	2	no	—
1325	C₄	—	2	2	no	—
1326	C₄	—	4	1	no	—
1327	C₄	—	4	1	no	—
1328	C₄	—	4	1	no	—
1329	C₄	—	4	1	no	—
1330	C₄	—	4	1	no	—
1331	C₄	—	4	1	no	—
1332	C₄	—	4	1	no	—
1333	C₄	—	4	1	no	—
1334	C₄	—	4	1	no	—
1335	C₄	—	4	1	no	—
1336	C₄	—	4	1	no	—
1337	C₄	—	6	2	no	—
1338	C₄	—	6	2	no	—
1339	C₄	—	12	1	no	—
1340	C₄	—	12	1	no	—
1341	C₄	—	12	1	no	—
1342	C₄	—	12	1	no	—
1343	C₄	—	12	1	no	—
1344	C₄	—	12	1	no	—
1345	C₄	—	12	1	no	—
1346	C₄	—	12	1	no	—
1347	C₄	—	12	1	no	—
1348	C₄	—	12	1	no	—
1349	C₄	—	12	1	no	—
1350	C₄	—	12	1	no	—
1351	C₄	—	12	1	no	—
1352	C₃	#40583	1	1	yes	characteristic, complemented, Sylow
1353	C₂	—	8	1	no	—
1354	C₂	—	8	1	no	—
1355	C₂	—	12	2	no	—
1356	C₂	#86055	1	1	yes	characteristic
1357	C₂	#86146	1	1	yes	characteristic
1358	C₂	#86544	1	1	yes	characteristic
1359	C₂	#86666	1	1	yes	characteristic
1360	C₂	#86695	1	1	yes	characteristic
1361	C₂	#86831	1	1	yes	characteristic
1362	C₂	#86905	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₃
commutator, socle, cosocle	C₂³×C₃	C₂⁵
Fitting	C₃×#2468	C₂
prime radical	#5223	C₂²
hypercenter	#2468	D₃
hypocenter	C₃	#40583
LCS	G ▷ C₂³×C₃ ▷ C₃
UCS	C₁ ◁ C₂³ ◁ #2468

Complements

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

N	H ≅ G/N	type
1. C₃×#2468	C₂	semidirect
2. #83100	C₂	semidirect
3. #83089	C₂	semidirect
5. #82369	C₂	semidirect
6. #77995	C₂	semidirect
7. #77894	C₂	semidirect
8. #77841	C₂	semidirect
9. #77841	C₂	semidirect
10. #77103	C₂	semidirect
11. #77101	C₂	semidirect
14. #75951	C₂	semidirect
15. #75742	C₂	semidirect
16. #75682	C₂	semidirect
17. #75660	C₂	semidirect
18. #75572	C₂	semidirect
19. #75523	C₂	semidirect
20. #75317	C₂	semidirect
21. #75050	C₂	semidirect
22. #74624	C₂	semidirect
23. #74615	C₂	semidirect
24. #74469	C₂	semidirect
25. #74466	C₂	semidirect
26. #74086	C₂	semidirect
27. #74061	C₂	semidirect
28. #74006	C₂	semidirect
29. #73946	C₂	semidirect
30. #73686	C₂	semidirect
31. #73648	C₂	semidirect
212. #2468	D₃	semidirect
1352. C₃	#40583	semidirect

Maximal subgroups

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

subgroup	index
C₃×#2468	2
#83100	2
#83089	2
#82401	2
#82369	2
#77995	2
#77894	2
#77841	2
#77103	2
#77101	2
#77060	2
#77057	2
#75951	2
#75742	2
#75682	2
#75660	2
#75572	2
#75523	2
#75317	2
#75050	2
#74624	2
#74615	2
#74469	2
#74466	2
#74086	2
#74061	2
#74006	2
#73946	2
#73686	2
#73648	2
#40583	3