Subgroups — #10956187

Order 768.

2234 conjugacy classes of subgroups.

The subgroup lattice has 1342 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#5516	C₂	1	1	yes	maximal, characteristic
2	C₃×#2343	C₂	1	1	yes	maximal, characteristic
3	#82237	C₂	1	1	yes	maximal, characteristic
4	#74964	C₂	1	1	yes	maximal, characteristic, complemented
5	#74964	C₂	1	1	yes	maximal, characteristic, complemented
6	#74963	C₂	1	1	yes	maximal, characteristic, complemented
7	#74963	C₂	1	1	yes	maximal, characteristic, complemented
8	#74946	C₂	1	1	yes	maximal, characteristic, complemented
9	#74946	C₂	1	1	yes	maximal, characteristic, complemented
10	#74938	C₂	1	1	yes	maximal, characteristic, complemented
11	#74938	C₂	1	1	yes	maximal, characteristic, complemented
12	#74392	C₂	1	1	yes	maximal, characteristic
13	#74392	C₂	1	1	yes	maximal, characteristic
14	#74382	C₂	1	1	yes	maximal, characteristic
15	#74378	C₂	1	1	yes	maximal, characteristic
16	#74264	C₂	1	1	yes	maximal, characteristic, complemented
17	#74260	C₂	1	1	yes	maximal, characteristic, complemented
18	#74158	C₂	1	1	yes	maximal, characteristic, complemented
19	#74151	C₂	1	1	yes	maximal, characteristic, complemented
20	#74059	C₂	1	1	yes	maximal, characteristic
21	#74053	C₂	1	1	yes	maximal, characteristic
22	#73642	C₂	1	1	yes	maximal, characteristic, complemented
23	#73619	C₂	1	1	yes	maximal, characteristic, complemented
24	#73455	C₂	1	1	yes	maximal, characteristic
25	#73455	C₂	1	1	yes	maximal, characteristic
26	#73435	C₂	1	1	yes	maximal, characteristic
27	C₄×#877	C₂	1	1	yes	maximal, characteristic
28	#73393	C₂	1	1	yes	maximal, characteristic, complemented
29	#73384	C₂	1	1	yes	maximal, characteristic, complemented
30	#73335	C₂	1	1	yes	maximal, characteristic
31	C₂×#4646	C₂	1	1	yes	maximal, characteristic
32	#34254	—	3	1	no	maximal, Sylow
33	C₂³×Dic₆	C₂²	1	1	yes	characteristic
34	C₂×C₃×#117	C₂²	1	1	yes	characteristic
35	C₂×#926	C₂²	1	1	yes	characteristic
36	C₂²×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
37	C₂²×C₄×Dic₃	C₂²	1	1	yes	characteristic
38	#5516	C₄	1	16	yes	complemented
39	C₂×#887	C₂²	1	1	yes	characteristic
40	C₂×#887	C₂²	1	1	yes	characteristic
41	C₂×#887	C₂²	1	1	yes	characteristic
42	C₂×#887	C₂²	1	1	yes	characteristic
43	C₂×#877	C₂²	1	1	yes	characteristic
44	C₂×#877	C₂²	1	1	yes	characteristic
45	C₂×#877	C₂²	1	1	yes	characteristic
46	C₂×#877	C₂²	1	1	yes	characteristic
47	C₂×#877	C₂²	1	1	yes	characteristic
48	C₂×#877	C₂²	1	1	yes	characteristic
49	C₂×C₄×Dic₆	C₂²	1	1	yes	characteristic
50	C₂×C₄×Dic₆	C₂²	1	1	yes	characteristic
51	C₂×C₄×Dic₆	C₂²	1	1	yes	characteristic
52	C₂×C₄×Dic₆	C₂²	1	1	yes	characteristic
53	C₃×#387	C₂²	1	1	yes	characteristic
54	C₃×#387	C₂²	1	1	yes	characteristic
55	C₃×#387	C₂²	1	1	yes	characteristic
56	C₃×#387	C₂²	1	1	yes	characteristic
57	C₃×#385	C₂²	1	1	yes	characteristic
58	C₃×#385	C₂²	1	1	yes	characteristic
59	C₃×#383	C₂²	1	1	yes	characteristic
60	C₃×#382	C₂²	1	1	yes	characteristic
61	C₃×#381	C₂²	1	1	yes	characteristic
62	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
63	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
64	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
65	C₃×#376	C₂²	1	1	yes	characteristic
66	C₂×C₃×#95	C₂²	1	1	yes	characteristic
67	#5211	C₂²	1	1	yes	characteristic
68	#5210	C₂²	1	1	yes	characteristic
69	#5210	C₂²	1	1	yes	characteristic
70	C₄×#217	C₂²	1	1	yes	characteristic
71	C₄×#217	C₂²	1	1	yes	characteristic
72	C₂×C₃⋊#95	C₂²	1	1	yes	characteristic
73	C₂×C₃⋊#95	C₂²	1	1	yes	characteristic
74	C₂×C₃⋊#95	C₂²	1	1	yes	characteristic
75	#4980	C₂²	1	1	yes	characteristic
76	#4980	C₂²	1	1	yes	characteristic
77	#4980	C₂²	1	1	yes	characteristic
78	#4980	C₂²	1	1	yes	characteristic
79	#4978	C₂²	1	1	yes	characteristic
80	#4978	C₂²	1	1	yes	characteristic
81	#4978	C₂²	1	1	yes	characteristic
82	#4978	C₂²	1	1	yes	characteristic
83	#4977	C₂²	1	1	yes	characteristic
84	#4977	C₂²	1	1	yes	characteristic
85	#4976	C₂²	1	1	yes	characteristic
86	#4976	C₂²	1	1	yes	characteristic
87	#4976	C₂²	1	1	yes	characteristic
88	#4976	C₂²	1	1	yes	characteristic
89	#4975	C₂²	1	1	yes	characteristic
90	#4975	C₂²	1	1	yes	characteristic
91	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
92	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
93	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
94	Dic₃×C₄⋊C₄	C₂²	1	1	yes	characteristic
95	#4950	C₂²	1	1	yes	characteristic
96	#4950	C₂²	1	1	yes	characteristic
97	#4946	C₂²	1	1	yes	characteristic
98	#4946	C₂²	1	1	yes	characteristic
99	#4943	C₂²	1	1	yes	characteristic
100	#4943	C₂²	1	1	yes	characteristic
101	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
102	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
103	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
104	Dic₃×C₂²⋊C₄	C₂²	1	1	yes	characteristic
105	#4937	C₂²	1	1	yes	characteristic
106	#4936	C₂²	1	1	yes	characteristic
107	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
108	#4933	C₂²	1	1	yes	characteristic
109	#4933	C₂²	1	1	yes	characteristic
110	#4933	C₂²	1	1	yes	characteristic
111	#4933	C₂²	1	1	yes	characteristic
112	#4932	C₂²	1	1	yes	characteristic
113	#4932	C₂²	1	1	yes	characteristic
114	#4932	C₂²	1	1	yes	characteristic
115	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
116	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
117	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
118	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
119	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
120	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
121	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
122	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
123	C₄²×Dic₃	C₂²	1	1	yes	characteristic
124	C₄²×Dic₃	C₂²	1	1	yes	characteristic
125	#4655	C₂²	1	1	yes	characteristic
126	#4655	C₂²	1	1	yes	characteristic
127	#4655	C₂²	1	1	yes	characteristic
128	#4655	C₂²	1	1	yes	characteristic
129	#4654	C₂²	1	1	yes	characteristic
130	#4654	C₂²	1	1	yes	characteristic
131	#4654	C₂²	1	1	yes	characteristic
132	#4654	C₂²	1	1	yes	characteristic
133	#4653	C₂²	1	1	yes	characteristic
134	#4653	C₂²	1	1	yes	characteristic
135	#4653	C₂²	1	1	yes	characteristic
136	#4653	C₂²	1	1	yes	characteristic
137	#4652	C₂²	1	1	yes	characteristic
138	#4652	C₂²	1	1	yes	characteristic
139	#4652	C₂²	1	1	yes	characteristic
140	#4652	C₂²	1	1	yes	characteristic
141	#4651	C₂²	1	1	yes	characteristic
142	#4651	C₂²	1	1	yes	characteristic
143	#4651	C₂²	1	1	yes	characteristic
144	#4651	C₂²	1	1	yes	characteristic
145	#4651	C₂²	1	1	yes	characteristic
146	#4651	C₂²	1	1	yes	characteristic
147	#4650	C₂²	1	1	yes	characteristic
148	#4650	C₂²	1	1	yes	characteristic
149	#4650	C₂²	1	1	yes	characteristic
150	#4650	C₂²	1	1	yes	characteristic
151	#4650	C₂²	1	1	yes	characteristic
152	#4650	C₂²	1	1	yes	characteristic
153	#4649	C₂²	1	1	yes	characteristic
154	#4649	C₂²	1	1	yes	characteristic
155	#4649	C₂²	1	1	yes	characteristic
156	#4649	C₂²	1	1	yes	characteristic
157	#4649	C₂²	1	1	yes	characteristic
158	#4649	C₂²	1	1	yes	characteristic
159	#4649	C₂²	1	1	yes	characteristic
160	#4649	C₂²	1	1	yes	characteristic
161	#4649	C₂²	1	1	yes	characteristic
162	#4649	C₂²	1	1	yes	characteristic
163	#4648	C₂²	1	1	yes	characteristic
164	#4648	C₂²	1	1	yes	characteristic
165	#4648	C₂²	1	1	yes	characteristic
166	#4648	C₂²	1	1	yes	characteristic
167	#4648	C₂²	1	1	yes	characteristic
168	#4648	C₂²	1	1	yes	characteristic
169	#4647	C₂²	1	1	yes	characteristic
170	#4647	C₂²	1	1	yes	characteristic
171	#4647	C₂²	1	1	yes	characteristic
172	#4647	C₂²	1	1	yes	characteristic
173	#4646	C₂²	1	1	yes	characteristic
174	#4646	C₂²	1	1	yes	characteristic
175	#4646	C₂²	1	1	yes	characteristic
176	#4646	C₂²	1	1	yes	characteristic
177	#4646	C₂²	1	1	yes	characteristic
178	#4646	C₂²	1	1	yes	characteristic
179	#4646	C₂²	1	1	yes	characteristic
180	#4646	C₂²	1	1	yes	characteristic
181	#4646	C₂²	1	1	yes	characteristic
182	#4646	C₂²	1	1	yes	characteristic
183	#4646	C₂²	1	1	yes	characteristic
184	#4646	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	#4646	C₂²	1	1	yes	characteristic
189	C₂×#519	—	3	1	no	—
190	#2356	—	3	1	no	—
191	#2356	—	3	1	no	—
192	#2356	—	3	1	no	—
193	#2356	—	3	1	no	—
194	#2355	—	3	1	no	—
195	#2355	—	3	1	no	—
196	#2355	—	3	1	no	—
197	#2355	—	3	1	no	—
198	#2343	—	3	1	no	—
199	#2343	—	3	1	no	—
200	#2343	—	3	1	no	—
201	#2343	—	3	1	no	—
202	#2343	—	3	1	no	—
203	#2343	—	3	1	no	—
204	#2343	—	3	1	no	—
205	#2343	D₃	1	1	yes	characteristic
206	#2320	—	3	1	no	—
207	#2320	—	3	1	no	—
208	#2320	—	3	1	no	—
209	#2320	—	3	1	no	—
210	#2317	—	3	1	no	—
211	#2310	—	3	1	no	—
212	#2296	—	3	1	no	—
213	#2295	—	3	1	no	—
214	#2295	—	3	1	no	—
215	#2295	—	3	1	no	—
216	#2295	—	3	1	no	—
217	C₂×#391	—	3	1	no	—
218	#2274	—	3	1	no	—
219	C₄×#117	—	3	1	no	—
220	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
221	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
222	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
223	C₂³×Dic₃	C₂³	1	1	yes	characteristic
224	C₂³×Dic₃	C₂³	1	1	yes	characteristic
225	C₂³×Dic₃	C₂³	1	1	yes	characteristic
226	C₂³×Dic₃	C₂³	1	1	yes	characteristic
227	C₂²×Dic₆	—	2	4	no	—
228	C₂²×Dic₆	—	2	4	no	—
229	C₂²×Dic₆	C₂×C₄	1	8	yes	—
230	C₂²×Dic₆	C₂³	1	1	yes	characteristic
231	C₂²×Dic₆	C₂³	1	1	yes	characteristic
232	C₂²×Dic₆	C₂³	1	1	yes	characteristic
233	C₂²×Dic₆	C₂³	1	1	yes	characteristic
234	C₃×#117	C₂×C₄	1	8	yes	—
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×C₄⋊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×C₄²	C₂³	1	1	yes	characteristic
246	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
247	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
248	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
249	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
250	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
251	C₂×#217	C₂³	1	1	yes	characteristic
252	C₂×#217	C₂³	1	1	yes	characteristic
253	C₂×#217	C₂³	1	1	yes	characteristic
254	C₂×#217	C₂³	1	1	yes	characteristic
255	#926	C₂×C₄	1	8	yes	—
256	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
261	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
262	C₂×Dic₃⋊C₄	—	2	4	no	—
263	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×Dic₃⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₃	—	2	4	no	—
288	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
299	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
300	C₂×C₄×Dic₃	C₂³	1	1	yes	characteristic
301	C₂×C₄×Dic₃	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×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	#887	C₂×C₄	1	8	yes	complemented
319	#887	C₂×C₄	1	8	yes	complemented
320	#887	C₂×C₄	1	8	yes	complemented
321	#887	C₂×C₄	1	8	yes	complemented
322	#877	—	2	4	no	—
323	#877	—	2	4	no	—
324	#877	C₂×C₄	1	8	yes	—
325	#877	C₂×C₄	1	8	yes	—
326	#877	C₂×C₄	1	8	yes	—
327	#877	C₂×C₄	1	8	yes	—
328	C₄×Dic₆	C₂×C₄	1	8	yes	complemented
329	C₄×Dic₆	C₂×C₄	1	8	yes	complemented
330	C₄×Dic₆	C₂×C₄	1	8	yes	complemented
331	C₄×Dic₆	C₂×C₄	1	8	yes	complemented
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	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	C₃⋊#95	C₂³	1	1	yes	characteristic
390	C₃⋊#95	C₂³	1	1	yes	characteristic
391	C₃⋊#95	C₂³	1	1	yes	characteristic
392	C₃⋊#95	C₂³	1	1	yes	characteristic
393	C₃⋊#95	C₂³	1	1	yes	characteristic
394	C₃⋊#95	C₂³	1	1	yes	characteristic
395	C₃⋊#95	C₂³	1	1	yes	characteristic
396	C₂³×Q₈	—	3	1	no	—
397	#519	—	3	16	no	—
398	C₂×C₄×Q₈	—	3	1	no	—
399	C₂×C₄×Q₈	—	3	1	no	—
400	C₂×C₄×Q₈	—	3	1	no	—
401	C₂×C₄×Q₈	—	3	1	no	—
402	C₂×C₄×Q₈	—	3	1	no	—
403	C₂×C₄×Q₈	—	3	1	no	—
404	C₂×C₄×Q₈	—	3	1	no	—
405	C₂×C₄×Q₈	—	3	1	no	—
406	C₂×#117	—	3	1	no	—
407	C₂×#117	—	3	1	no	—
408	C₂×#117	—	3	1	no	—
409	C₂×#117	—	3	1	no	—
410	C₂×#117	—	3	1	no	—
411	C₂×#117	—	3	1	no	—
412	C₂×#117	—	3	1	no	—
413	C₂×#117	C₂×D₃	1	1	yes	characteristic
414	C₂²×C₄⋊C₄	—	3	1	no	—
415	C₂²×C₄²	—	3	1	no	—
416	#391	—	3	1	no	—
417	#391	—	3	1	no	—
418	#391	—	3	1	no	—
419	#391	—	3	1	no	—
420	#391	—	3	1	no	—
421	#391	—	3	1	no	—
422	#391	—	3	1	no	—
423	#391	—	3	1	no	—
424	#391	—	3	1	no	—
425	#391	—	3	1	no	—
426	#391	—	3	1	no	—
427	#391	—	3	1	no	—
428	#391	—	3	1	no	—
429	#391	—	3	1	no	—
430	#391	—	3	1	no	—
431	#391	—	3	1	no	—
432	#389	—	3	1	no	—
433	#389	—	3	1	no	—
434	#389	—	3	1	no	—
435	#389	—	3	1	no	—
436	#389	—	3	1	no	—
437	#389	—	3	1	no	—
438	#389	—	3	1	no	—
439	#389	—	3	1	no	—
440	#387	—	3	1	no	—
441	#387	—	3	1	no	—
442	#387	—	3	1	no	—
443	#387	—	3	1	no	—
444	#387	—	3	1	no	—
445	#387	—	3	1	no	—
446	#387	—	3	1	no	—
447	#387	—	3	1	no	—
448	#387	—	3	1	no	—
449	#387	—	3	1	no	—
450	#387	—	3	1	no	—
451	#387	—	3	1	no	—
452	#387	—	3	1	no	—
453	#387	—	3	1	no	—
454	#387	—	3	1	no	—
455	#387	—	3	1	no	—
456	#387	—	3	1	no	—
457	#387	—	3	1	no	—
458	#387	—	3	1	no	—
459	#387	—	3	1	no	—
460	#387	—	3	1	no	—
461	#387	—	3	1	no	—
462	#387	—	3	1	no	—
463	#387	—	3	1	no	—
464	#387	—	3	1	no	—
465	#387	—	3	1	no	—
466	#387	—	3	1	no	—
467	#387	—	3	1	no	—
468	#387	C₂×D₃	1	1	yes	characteristic
469	#387	C₂×D₃	1	1	yes	characteristic
470	#387	C₂×D₃	1	1	yes	characteristic
471	#387	C₂×D₃	1	1	yes	characteristic
472	#385	—	3	1	no	—
473	#385	—	3	1	no	—
474	#385	—	3	1	no	—
475	#385	—	3	1	no	—
476	#385	—	3	1	no	—
477	#385	—	3	1	no	—
478	#385	C₂×D₃	1	1	yes	characteristic
479	#385	C₂×D₃	1	1	yes	characteristic
480	#384	—	3	1	no	—
481	#384	—	3	1	no	—
482	#383	—	3	1	no	—
483	#383	—	3	1	no	—
484	#383	—	3	1	no	—
485	#383	—	3	1	no	—
486	#383	—	3	1	no	—
487	#383	—	3	1	no	—
488	#383	—	3	1	no	—
489	#383	C₂×D₃	1	1	yes	characteristic
490	#382	—	3	1	no	—
491	#382	—	3	1	no	—
492	#382	—	3	1	no	—
493	#382	—	3	1	no	—
494	#382	—	3	1	no	—
495	#382	—	3	1	no	—
496	#382	—	3	1	no	—
497	#382	—	3	1	no	—
498	#382	—	3	1	no	—
499	#382	C₂×D₃	1	1	yes	characteristic
500	#381	—	3	1	no	—
501	#381	—	3	1	no	—
502	#381	—	3	1	no	—
503	#381	C₂×D₃	1	1	yes	characteristic
504	C₄×C₄⋊C₄	—	3	1	no	—
505	C₄×C₄⋊C₄	—	3	1	no	—
506	C₄×C₄⋊C₄	—	3	1	no	—
507	C₄×C₄⋊C₄	—	3	1	no	—
508	C₄×C₄⋊C₄	—	3	1	no	—
509	C₄×C₄⋊C₄	—	3	1	no	—
510	C₄×C₄⋊C₄	—	3	1	no	—
511	C₄×C₄⋊C₄	—	3	1	no	—
512	C₄×C₄⋊C₄	—	3	1	no	—
513	C₄×C₄⋊C₄	—	3	1	no	—
514	C₄×C₄⋊C₄	—	3	1	no	—
515	C₄×C₄⋊C₄	—	3	1	no	—
516	C₄×C₄⋊C₄	—	3	1	no	—
517	C₄×C₄⋊C₄	—	3	1	no	—
518	C₄×C₄⋊C₄	—	3	1	no	—
519	C₄×C₄⋊C₄	—	3	1	no	—
520	C₄×C₄⋊C₄	—	3	1	no	—
521	C₄×C₄⋊C₄	—	3	1	no	—
522	C₄×C₄⋊C₄	—	3	1	no	—
523	C₄×C₄⋊C₄	—	3	1	no	—
524	C₄×C₄⋊C₄	—	3	1	no	—
525	C₄×C₄⋊C₄	—	3	1	no	—
526	C₄×C₄⋊C₄	—	3	1	no	—
527	C₄×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
528	C₄×C₂²⋊C₄	—	3	1	no	—
529	C₄×C₂²⋊C₄	—	3	1	no	—
530	C₄×C₂²⋊C₄	—	3	1	no	—
531	C₄×C₂²⋊C₄	—	3	1	no	—
532	C₄×C₂²⋊C₄	—	3	1	no	—
533	C₄×C₂²⋊C₄	—	3	1	no	—
534	C₄×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
535	C₄×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
536	#376	—	3	1	no	—
537	#376	—	3	1	no	—
538	#376	—	3	1	no	—
539	#376	—	3	1	no	—
540	#376	—	3	1	no	—
541	#376	—	3	1	no	—
542	#376	—	3	1	no	—
543	#376	—	3	1	no	—
544	#376	—	3	1	no	—
545	#376	C₂×D₃	1	1	yes	characteristic
546	C₂×#95	—	3	1	no	—
547	C₂×#95	—	3	1	no	—
548	C₂×#95	—	3	1	no	—
549	C₂×#95	C₂×D₃	1	1	yes	characteristic
550	C₄³	—	3	1	no	—
551	C₄³	—	3	1	no	—
552	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
553	C₂²×C₃×C₄	—	2	2	no	—
554	C₂²×C₃×C₄	—	2	2	no	—
555	C₂²×C₃×C₄	—	2	2	no	—
556	C₂²×C₃×C₄	—	2	2	no	—
557	C₂²×C₃×C₄	—	2	2	no	—
558	C₂²×C₃×C₄	—	4	1	no	—
559	C₂²×C₃×C₄	—	4	1	no	—
560	C₂²×C₃×C₄	—	4	1	no	—
561	C₂²×C₃×C₄	C₂²×C₄	1	4	yes	—
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	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
569	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
570	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
571	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
572	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
573	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
574	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
575	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
576	C₂²×Dic₃	—	2	2	no	—
577	C₂²×Dic₃	—	2	2	no	—
578	C₂²×Dic₃	—	2	2	no	—
579	C₂²×Dic₃	—	2	2	no	—
580	C₂²×Dic₃	—	2	2	no	—
581	C₂²×Dic₃	—	4	1	no	—
582	C₂²×Dic₃	—	4	1	no	—
583	C₂²×Dic₃	—	4	1	no	—
584	C₂²×Dic₃	C₂²×C₄	1	4	yes	—
585	C₂²×Dic₃	C₂²×C₄	1	4	yes	—
586	C₂²×Dic₃	#41	1	4	yes	—
587	C₂²×Dic₃	#41	1	4	yes	—
588	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
589	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
590	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
591	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
592	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
593	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
594	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
595	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
596	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
597	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
598	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
599	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
600	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
601	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
602	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
603	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
604	C₂×Dic₆	—	2	32	no	—
605	C₂×Dic₆	—	2	2	no	—
606	C₂×Dic₆	—	2	2	no	—
607	C₂×Dic₆	—	2	2	no	—
608	C₂×Dic₆	—	2	2	no	—
609	C₂×Dic₆	—	2	2	no	—
610	C₂×Dic₆	—	2	2	no	—
611	C₂×Dic₆	—	2	2	no	—
612	C₂×Dic₆	—	2	2	no	—
613	C₂×Dic₆	C₂²×C₄	1	4	yes	—
614	C₂×Dic₆	C₂²×C₄	1	4	yes	—
615	C₂×Dic₆	C₂²×C₄	1	4	yes	—
616	C₂×Dic₆	C₂²×C₄	1	4	yes	—
617	C₃×C₄⋊C₄	—	2	2	no	—
618	C₃×C₄⋊C₄	—	4	1	no	—
619	C₃×C₄⋊C₄	—	4	1	no	—
620	C₃×C₄⋊C₄	—	4	1	no	—
621	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
622	C₃×C₄⋊C₄	C₂²×C₄	1	4	yes	—
623	C₃×C₂²⋊C₄	—	2	2	no	—
624	C₃×C₂²⋊C₄	—	2	2	no	—
625	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
626	C₃×C₂²⋊C₄	C₂²×C₄	1	4	yes	—
627	C₃×C₄²	—	2	2	no	—
628	C₃×C₄²	—	4	1	no	—
629	C₃×C₄²	—	4	1	no	—
630	C₃×C₄²	—	4	1	no	—
631	C₃×C₄²	C₂²×C₄	1	4	yes	—
632	C₃×C₄²	C₂²×C₄	1	4	yes	—
633	#217	—	2	2	no	—
634	#217	—	2	2	no	—
635	#217	C₂²×C₄	1	4	yes	—
636	#217	C₂²×C₄	1	4	yes	—
637	C₄⋊Dic₃	—	2	2	no	—
638	C₄⋊Dic₃	—	4	1	no	—
639	C₄⋊Dic₃	—	4	1	no	—
640	C₄⋊Dic₃	—	4	1	no	—
641	C₄⋊Dic₃	C₂²×C₄	1	4	yes	—
642	C₄⋊Dic₃	C₂²×C₄	1	4	yes	—
643	Dic₃⋊C₄	—	2	2	no	—
644	Dic₃⋊C₄	—	2	2	no	—
645	Dic₃⋊C₄	—	2	2	no	—
646	Dic₃⋊C₄	—	2	2	no	—
647	Dic₃⋊C₄	—	2	2	no	—
648	Dic₃⋊C₄	—	2	2	no	—
649	Dic₃⋊C₄	—	2	2	no	—
650	Dic₃⋊C₄	—	2	2	no	—
651	Dic₃⋊C₄	—	2	2	no	—
652	Dic₃⋊C₄	—	2	2	no	—
653	Dic₃⋊C₄	—	4	1	no	—
654	Dic₃⋊C₄	—	4	1	no	—
655	Dic₃⋊C₄	—	4	1	no	—
656	Dic₃⋊C₄	—	4	1	no	—
657	Dic₃⋊C₄	—	4	1	no	—
658	Dic₃⋊C₄	—	4	1	no	—
659	Dic₃⋊C₄	C₂²×C₄	1	4	yes	—
660	Dic₃⋊C₄	C₂²×C₄	1	4	yes	—
661	Dic₃⋊C₄	C₂²×C₄	1	4	yes	—
662	Dic₃⋊C₄	C₂²×C₄	1	4	yes	—
663	Dic₃⋊C₄	C₂²×C₄	1	4	yes	—
664	Dic₃⋊C₄	C₂²×C₄	1	4	yes	—
665	Dic₃⋊C₄	C₂²×C₄	1	4	yes	—
666	Dic₃⋊C₄	C₂²×C₄	1	4	yes	—
667	C₄×Dic₃	—	2	2	no	—
668	C₄×Dic₃	—	2	2	no	—
669	C₄×Dic₃	—	2	2	no	—
670	C₄×Dic₃	—	2	2	no	—
671	C₄×Dic₃	—	2	2	no	—
672	C₄×Dic₃	—	2	2	no	—
673	C₄×Dic₃	—	2	2	no	—
674	C₄×Dic₃	—	2	2	no	—
675	C₄×Dic₃	—	2	2	no	—
676	C₄×Dic₃	—	2	2	no	—
677	C₄×Dic₃	—	2	2	no	—
678	C₄×Dic₃	—	4	1	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	C₄×Dic₃	—	4	1	no	—
687	C₄×Dic₃	C₂²×C₄	1	4	yes	—
688	C₄×Dic₃	C₂²×C₄	1	4	yes	—
689	C₄×Dic₃	C₂²×C₄	1	4	yes	—
690	C₄×Dic₃	C₂²×C₄	1	4	yes	—
691	C₄×Dic₃	C₂²×C₄	1	4	yes	—
692	C₄×Dic₃	C₂²×C₄	1	4	yes	—
693	C₄×Dic₃	C₂²×C₄	1	4	yes	—
694	C₄×Dic₃	C₂²×C₄	1	4	yes	—
695	C₄×Dic₃	C₂²×C₄	1	4	yes	—
696	C₄×Dic₃	C₂²×C₄	1	4	yes	—
697	C₂²×Q₈	—	3	8	no	—
698	C₂²×Q₈	—	3	1	no	—
699	C₂²×Q₈	—	3	1	no	—
700	C₂²×Q₈	—	3	1	no	—
701	C₂²×Q₈	—	3	1	no	—
702	C₂²×Q₈	—	6	4	no	—
703	C₂²×Q₈	—	6	4	no	—
704	C₂³×C₄	—	3	1	no	—
705	C₂³×C₄	—	3	1	no	—
706	C₂³×C₄	—	3	1	no	—
707	C₂³×C₄	—	3	1	no	—
708	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
709	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
710	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
711	C₄×Q₈	—	3	8	no	—
712	C₄×Q₈	—	3	8	no	—
713	C₄×Q₈	—	3	8	no	—
714	C₄×Q₈	—	3	8	no	—
715	C₄×Q₈	—	3	8	no	—
716	C₄×Q₈	—	3	8	no	—
717	C₄×Q₈	—	3	8	no	—
718	C₄×Q₈	—	3	8	no	—
719	#117	—	3	8	no	—
720	#117	—	3	8	no	—
721	#117	—	3	8	no	—
722	#117	—	3	8	no	—
723	#117	—	3	8	no	—
724	#117	—	6	4	no	—
725	#117	—	6	4	no	—
726	#117	C₄×D₃	1	8	yes	—
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	—	3	1	no	—
736	C₂×C₄⋊C₄	—	3	1	no	—
737	C₂×C₄⋊C₄	—	3	1	no	—
738	C₂×C₄⋊C₄	—	3	1	no	—
739	C₂×C₄⋊C₄	—	3	1	no	—
740	C₂×C₄⋊C₄	—	3	1	no	—
741	C₂×C₄⋊C₄	—	3	1	no	—
742	C₂×C₄⋊C₄	—	3	1	no	—
743	C₂×C₄⋊C₄	—	3	1	no	—
744	C₂×C₄⋊C₄	—	3	1	no	—
745	C₂×C₄⋊C₄	—	3	1	no	—
746	C₂×C₄⋊C₄	—	3	1	no	—
747	C₂×C₄⋊C₄	—	3	1	no	—
748	C₂×C₄⋊C₄	—	3	1	no	—
749	C₂×C₄⋊C₄	—	3	1	no	—
750	C₂×C₄⋊C₄	—	3	1	no	—
751	C₂×C₄⋊C₄	—	3	1	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	—	6	4	no	—
758	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
759	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
760	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
761	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
762	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
763	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
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×C₄²	—	3	1	no	—
773	C₂×C₄²	—	3	1	no	—
774	C₂×C₄²	—	3	1	no	—
775	C₂×C₄²	—	3	1	no	—
776	C₂×C₄²	—	3	1	no	—
777	C₂×C₄²	—	3	1	no	—
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	—	3	1	no	—
790	C₂×C₄²	—	3	1	no	—
791	C₂×C₄²	—	3	1	no	—
792	C₂×C₄²	—	3	1	no	—
793	C₂×C₄²	—	3	1	no	—
794	C₂×C₄²	—	3	1	no	—
795	C₂×C₄²	—	3	1	no	—
796	C₂×C₄²	—	3	1	no	—
797	C₂×C₄²	—	3	1	no	—
798	C₂×C₄²	—	3	1	no	—
799	C₂×C₄²	—	3	1	no	—
800	C₂×C₄²	—	3	1	no	—
801	C₂×C₄²	—	3	1	no	—
802	C₂×C₄²	—	6	4	no	—
803	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
804	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
805	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
806	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
807	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
808	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
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	—	3	1	no	—
841	#95	—	3	1	no	—
842	#95	—	3	1	no	—
843	#95	—	3	1	no	—
844	#95	—	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	C₂²×D₃	1	1	yes	characteristic
858	#95	C₂²×D₃	1	1	yes	characteristic
859	#95	C₂²×D₃	1	1	yes	characteristic
860	#95	C₂²×D₃	1	1	yes	characteristic
861	#95	C₂²×D₃	1	1	yes	characteristic
862	#95	C₂²×D₃	1	1	yes	characteristic
863	#95	C₂²×D₃	1	1	yes	characteristic
864	#95	C₂²×D₃	1	1	yes	characteristic
865	#95	C₂²×D₃	1	1	yes	characteristic
866	#95	C₂²×D₃	1	1	yes	characteristic
867	#95	C₂²×D₃	1	1	yes	characteristic
868	#95	C₂²×D₃	1	1	yes	characteristic
869	#95	C₂²×D₃	1	1	yes	characteristic
870	#95	C₂²×D₃	1	1	yes	characteristic
871	#95	C₂²×D₃	1	1	yes	characteristic
872	#95	C₂²×D₃	1	1	yes	characteristic
873	C₂³×C₃	—	2	1	no	—
874	C₂³×C₃	—	2	1	no	—
875	C₂³×C₃	—	2	1	no	—
876	C₂³×C₃	—	2	1	no	—
877	C₂³×C₃	C₂³×C₄	1	2	yes	—
878	C₂³×C₃	C₂×#41	1	2	yes	—
879	C₂³×C₃	C₂×#41	1	2	yes	—
880	C₂³×C₃	C₂⁵	1	1	yes	characteristic
881	C₂×C₃×C₄	—	2	8	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	—	2	1	no	—
911	C₂×C₃×C₄	—	2	1	no	—
912	C₂×C₃×C₄	—	2	1	no	—
913	C₂×C₃×C₄	—	2	1	no	—
914	C₂×C₃×C₄	—	2	1	no	—
915	C₂×C₃×C₄	—	2	1	no	—
916	C₂×C₃×C₄	—	2	1	no	—
917	C₂×C₃×C₄	—	4	4	no	—
918	C₂×C₃×C₄	—	8	2	no	—
919	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
920	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
921	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
922	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
923	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
924	C₂×C₃×C₄	C₂³×C₄	1	2	yes	—
925	C₂×C₃×C₄	2₋¹⁺⁴	1	2	yes	—
926	C₂×Dic₃	—	2	8	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	—	2	1	no	—
960	C₂×Dic₃	—	2	1	no	—
961	C₂×Dic₃	—	2	1	no	—
962	C₂×Dic₃	—	4	4	no	—
963	C₂×Dic₃	—	8	2	no	—
964	C₂×Dic₃	#117	1	16	yes	—
965	C₂×Dic₃	C₂³×C₄	1	2	yes	—
966	C₂×Dic₃	C₂³×C₄	1	2	yes	—
967	C₂×Dic₃	C₂³×C₄	1	2	yes	—
968	C₂×Dic₃	C₂³×C₄	1	2	yes	—
969	C₂×Dic₃	C₂³×C₄	1	2	yes	—
970	C₂×Dic₃	C₂³×C₄	1	2	yes	—
971	C₂×Dic₃	C₂³×C₄	1	2	yes	—
972	C₂×Dic₃	C₂³×C₄	1	2	yes	—
973	C₂×Dic₃	C₂×#41	1	2	yes	—
974	C₂×Dic₃	C₂×#41	1	2	yes	—
975	C₂×Dic₃	C₂×#41	1	2	yes	—
976	C₂×Dic₃	C₂×#41	1	2	yes	—
977	C₂×Dic₃	2₋¹⁺⁴	1	2	yes	—
978	Dic₆	—	2	8	no	—
979	Dic₆	—	2	8	no	—
980	Dic₆	—	2	8	no	—
981	Dic₆	—	2	8	no	—
982	C₂⁴	C₂³×D₃	1	1	yes	characteristic
983	C₂×Q₈	—	3	4	no	—
984	C₂×Q₈	—	3	4	no	—
985	C₂×Q₈	—	3	4	no	—
986	C₂×Q₈	—	3	4	no	—
987	C₂×Q₈	—	6	2	no	—
988	C₂×Q₈	—	6	2	no	—
989	C₂×Q₈	—	6	2	no	—
990	C₂×Q₈	—	6	2	no	—
991	C₂×Q₈	—	6	2	no	—
992	C₂×Q₈	—	6	2	no	—
993	C₂×Q₈	—	6	2	no	—
994	C₂×Q₈	—	6	2	no	—
995	C₂×Q₈	—	6	32	no	—
996	C₂²×C₄	—	2	2	no	—
997	C₂²×C₄	—	2	2	no	—
998	C₂²×C₄	—	2	2	no	—
999	C₂²×C₄	—	2	2	no	—
1000	C₂²×C₄	—	2	2	no	—
1001	C₂²×C₄	—	3	4	no	—
1002	C₂²×C₄	—	3	4	no	—
1003	C₂²×C₄	—	3	4	no	—
1004	C₂²×C₄	—	3	1	no	—
1005	C₂²×C₄	—	3	1	no	—
1006	C₂²×C₄	—	3	4	no	—
1007	C₂²×C₄	—	3	1	no	—
1008	C₂²×C₄	—	3	1	no	—
1009	C₂²×C₄	—	3	1	no	—
1010	C₂²×C₄	—	3	1	no	—
1011	C₂²×C₄	—	3	1	no	—
1012	C₂²×C₄	—	3	1	no	—
1013	C₂²×C₄	—	3	1	no	—
1014	C₂²×C₄	—	3	1	no	—
1015	C₂²×C₄	—	3	1	no	—
1016	C₂²×C₄	—	3	1	no	—
1017	C₂²×C₄	—	3	1	no	—
1018	C₂²×C₄	—	3	1	no	—
1019	C₂²×C₄	—	3	1	no	—
1020	C₂²×C₄	—	3	1	no	—
1021	C₂²×C₄	—	4	1	no	—
1022	C₂²×C₄	—	4	1	no	—
1023	C₂²×C₄	—	4	1	no	—
1024	C₂²×C₄	—	6	2	no	—
1025	C₂²×C₄	—	6	2	no	—
1026	C₂²×C₄	—	6	2	no	—
1027	C₂²×C₄	—	6	2	no	—
1028	C₂²×C₄	—	6	2	no	—
1029	C₂²×C₄	—	12	1	no	—
1030	C₂²×C₄	—	12	1	no	—
1031	C₂²×C₄	—	12	1	no	—
1032	C₂²×C₄	C₂×C₄×D₃	1	4	yes	—
1033	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1034	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1035	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1036	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1037	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1038	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1039	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1040	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1041	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1042	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1043	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1044	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1045	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1046	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1047	C₄⋊C₄	—	2	2	no	—
1048	C₄⋊C₄	—	3	4	no	—
1049	C₄⋊C₄	—	3	4	no	—
1050	C₄⋊C₄	—	3	4	no	—
1051	C₄⋊C₄	—	3	4	no	—
1052	C₄⋊C₄	—	3	4	no	—
1053	C₄⋊C₄	—	3	4	no	—
1054	C₄⋊C₄	—	3	4	no	—
1055	C₄⋊C₄	—	3	4	no	—
1056	C₄⋊C₄	—	3	4	no	—
1057	C₄⋊C₄	—	3	4	no	—
1058	C₄⋊C₄	—	4	1	no	—
1059	C₄⋊C₄	—	4	1	no	—
1060	C₄⋊C₄	—	4	1	no	—
1061	C₄⋊C₄	—	6	2	no	—
1062	C₄⋊C₄	—	6	2	no	—
1063	C₄⋊C₄	—	6	2	no	—
1064	C₄⋊C₄	—	6	2	no	—
1065	C₄⋊C₄	—	6	2	no	—
1066	C₄⋊C₄	—	6	2	no	—
1067	C₄⋊C₄	—	6	2	no	—
1068	C₄⋊C₄	—	6	2	no	—
1069	C₄⋊C₄	—	6	2	no	—
1070	C₄⋊C₄	—	6	2	no	—
1071	C₄⋊C₄	—	6	2	no	—
1072	C₄⋊C₄	—	12	1	no	—
1073	C₄⋊C₄	—	12	1	no	—
1074	C₄⋊C₄	—	12	1	no	—
1075	C₄⋊C₄	—	12	1	no	—
1076	C₄⋊C₄	—	12	1	no	—
1077	C₄⋊C₄	—	12	1	no	—
1078	C₄⋊C₄	—	12	1	no	—
1079	C₄⋊C₄	—	12	1	no	—
1080	C₄⋊C₄	—	12	1	no	—
1081	C₄⋊C₄	C₂×C₄×D₃	1	4	yes	—
1082	C₄⋊C₄	C₂×C₄×D₃	1	4	yes	—
1083	C₂²⋊C₄	—	2	2	no	—
1084	C₂²⋊C₄	—	2	2	no	—
1085	C₂²⋊C₄	—	3	4	no	—
1086	C₂²⋊C₄	—	3	4	no	—
1087	C₂²⋊C₄	—	6	2	no	—
1088	C₂²⋊C₄	—	6	2	no	—
1089	C₂²⋊C₄	C₂×C₄×D₃	1	4	yes	—
1090	C₂²⋊C₄	C₂×C₄×D₃	1	4	yes	—
1091	C₄²	—	2	2	no	—
1092	C₄²	—	3	4	no	—
1093	C₄²	—	3	4	no	—
1094	C₄²	—	3	4	no	—
1095	C₄²	—	3	4	no	—
1096	C₄²	—	3	4	no	—
1097	C₄²	—	3	4	no	—
1098	C₄²	—	3	4	no	—
1099	C₄²	—	3	4	no	—
1100	C₄²	—	3	4	no	—
1101	C₄²	—	3	4	no	—
1102	C₄²	—	4	1	no	—
1103	C₄²	—	4	1	no	—
1104	C₄²	—	4	1	no	—
1105	C₄²	—	6	2	no	—
1106	C₄²	—	6	2	no	—
1107	C₄²	—	6	2	no	—
1108	C₄²	—	6	2	no	—
1109	C₄²	—	6	2	no	—
1110	C₄²	—	6	2	no	—
1111	C₄²	—	6	2	no	—
1112	C₄²	—	6	2	no	—
1113	C₄²	—	6	2	no	—
1114	C₄²	—	6	2	no	—
1115	C₄²	—	6	2	no	—
1116	C₄²	—	12	1	no	—
1117	C₄²	—	12	1	no	—
1118	C₄²	—	12	1	no	—
1119	C₄²	—	12	1	no	—
1120	C₄²	—	12	1	no	—
1121	C₄²	—	12	1	no	—
1122	C₄²	—	12	1	no	—
1123	C₄²	—	12	1	no	—
1124	C₄²	—	12	1	no	—
1125	C₄²	C₂×C₄×D₃	1	4	yes	—
1126	C₄²	C₂×C₄×D₃	1	4	yes	—
1127	C₂²×C₃	—	2	2	no	—
1128	C₂²×C₃	—	2	2	no	—
1129	C₂²×C₃	—	2	2	no	—
1130	C₂²×C₃	—	2	2	no	—
1131	C₂²×C₃	—	2	2	no	—
1132	C₂²×C₃	—	2	2	no	—
1133	C₂²×C₃	C₂×#117	1	4	yes	—
1134	C₂²×C₃	C₂⁴×C₄	1	1	yes	characteristic
1135	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1136	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1137	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1138	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1139	C₂²×C₃	#585	1	1	yes	characteristic
1140	C₂²×C₃	#585	1	1	yes	characteristic
1141	C₃×C₄	—	2	2	no	—
1142	C₃×C₄	—	2	2	no	—
1143	C₃×C₄	—	2	2	no	—
1144	C₃×C₄	—	2	2	no	—
1145	C₃×C₄	—	2	2	no	—
1146	C₃×C₄	—	2	2	no	—
1147	C₃×C₄	—	2	2	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	—	2	2	no	—
1158	Dic₃	—	2	2	no	—
1159	Dic₃	—	2	2	no	—
1160	Dic₃	—	2	2	no	—
1161	Dic₃	—	2	2	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	C₂×#117	1	4	yes	—
1170	Dic₃	C₂×#117	1	4	yes	—
1171	C₂³	—	2	1	no	—
1172	C₂³	—	2	1	no	—
1173	C₂³	—	2	1	no	—
1174	C₂³	—	2	1	no	—
1175	C₂³	C₂²×C₄×D₃	1	2	yes	—
1176	C₂³	D₃×#41	1	2	yes	—
1177	C₂³	D₃×#41	1	2	yes	—
1178	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1179	Q₈	—	6	8	no	—
1180	Q₈	—	6	8	no	—
1181	Q₈	—	6	8	no	—
1182	Q₈	—	6	8	no	—
1183	C₂×C₄	—	2	1	no	—
1184	C₂×C₄	—	2	1	no	—
1185	C₂×C₄	—	2	1	no	—
1186	C₂×C₄	—	2	1	no	—
1187	C₂×C₄	—	2	1	no	—
1188	C₂×C₄	—	2	1	no	—
1189	C₂×C₄	—	2	1	no	—
1190	C₂×C₄	—	2	1	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	1	no	—
1196	C₂×C₄	—	2	1	no	—
1197	C₂×C₄	—	2	8	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	—	3	2	no	—
1220	C₂×C₄	—	3	2	no	—
1221	C₂×C₄	—	3	2	no	—
1222	C₂×C₄	—	3	2	no	—
1223	C₂×C₄	—	3	2	no	—
1224	C₂×C₄	—	3	2	no	—
1225	C₂×C₄	—	3	16	no	—
1226	C₂×C₄	—	3	2	no	—
1227	C₂×C₄	—	3	2	no	—
1228	C₂×C₄	—	3	2	no	—
1229	C₂×C₄	—	3	2	no	—
1230	C₂×C₄	—	3	2	no	—
1231	C₂×C₄	—	3	2	no	—
1232	C₂×C₄	—	3	2	no	—
1233	C₂×C₄	—	4	4	no	—
1234	C₂×C₄	—	6	1	no	—
1235	C₂×C₄	—	6	1	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	8	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	—	8	2	no	—
1271	C₂×C₄	—	12	4	no	—
1272	C₂×C₄	—	24	2	no	—
1273	C₂×C₄	C₂²×C₄×D₃	1	2	yes	—
1274	C₂×C₄	C₂²×C₄×D₃	1	2	yes	—
1275	C₂×C₄	C₂²×C₄×D₃	1	2	yes	—
1276	C₂×C₄	C₂²×C₄×D₃	1	2	yes	—
1277	C₂×C₄	C₂²×C₄×D₃	1	2	yes	—
1278	C₂×C₄	C₂²×C₄×D₃	1	2	yes	—
1279	C₂×C₄	#1010	1	2	yes	—
1280	C₂×C₃	—	2	4	no	—
1281	C₂×C₃	C₂²×#117	1	1	yes	characteristic
1282	C₂×C₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1283	C₂×C₃	C₄×2₋¹⁺⁴	1	1	yes	characteristic
1284	C₂×C₃	#3495	1	1	yes	characteristic
1285	C₂×C₃	#3495	1	1	yes	characteristic
1286	C₂×C₃	#3509	1	1	yes	characteristic
1287	C₂×C₃	#3510	1	1	yes	characteristic
1288	C₂²	—	2	2	no	—
1289	C₂²	—	2	2	no	—
1290	C₂²	—	2	2	no	—
1291	C₂²	—	2	2	no	—
1292	C₂²	—	2	2	no	—
1293	C₂²	—	2	2	no	—
1294	C₂²	D₃×#117	1	4	yes	—
1295	C₂²	C₂³×C₄×D₃	1	1	yes	characteristic
1296	C₂²	C₂×D₃×#41	1	1	yes	characteristic
1297	C₂²	C₂×D₃×#41	1	1	yes	characteristic
1298	C₂²	C₂×#1010	1	1	yes	characteristic
1299	C₂²	#5964	1	1	yes	characteristic
1300	C₂²	#5966	1	1	yes	characteristic
1301	C₂²	D₃×2₋¹⁺⁴	1	1	yes	characteristic
1302	C₄	—	2	2	no	—
1303	C₄	—	2	2	no	—
1304	C₄	—	2	2	no	—
1305	C₄	—	2	2	no	—
1306	C₄	—	2	2	no	—
1307	C₄	—	2	2	no	—
1308	C₄	—	2	2	no	—
1309	C₄	—	3	4	no	—
1310	C₄	—	3	4	no	—
1311	C₄	—	4	1	no	—
1312	C₄	—	4	1	no	—
1313	C₄	—	4	1	no	—
1314	C₄	—	4	1	no	—
1315	C₄	—	4	1	no	—
1316	C₄	—	4	1	no	—
1317	C₄	—	4	1	no	—
1318	C₄	—	6	2	no	—
1319	C₄	—	6	2	no	—
1320	C₄	—	6	2	no	—
1321	C₄	—	6	2	no	—
1322	C₄	—	6	2	no	—
1323	C₄	—	6	2	no	—
1324	C₄	—	6	2	no	—
1325	C₄	—	12	1	no	—
1326	C₄	—	12	1	no	—
1327	C₄	—	12	1	no	—
1328	C₄	—	12	1	no	—
1329	C₄	—	12	1	no	—
1330	C₄	—	12	1	no	—
1331	C₄	—	12	1	no	—
1332	C₃	#34254	1	1	yes	characteristic, complemented, Sylow
1333	C₂	—	2	4	no	—
1334	C₂	C₂×D₃×#117	1	1	yes	characteristic
1335	C₂	C₄×#1010	1	1	yes	characteristic
1336	C₂	#85887	1	1	yes	characteristic
1337	C₂	#86793	1	1	yes	characteristic
1338	C₂	#86794	1	1	yes	characteristic
1339	C₂	#86829	1	1	yes	characteristic
1340	C₂	#86832	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₃
commutator	C₂²×C₃	C₂⁴×C₄
Fitting	C₃×#2343	C₂
socle, cosocle	C₂³×C₃	C₂⁵
prime radical	C₂⁴×C₃	C₂⁴
hypercenter	#2343	D₃
hypocenter	C₃	#34254
LCS	G ▷ C₂²×C₃ ▷ C₃
UCS	C₁ ◁ C₂³ ◁ #2343

Complements

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

N	H ≅ G/N	type
4. #74964	C₂	semidirect
5. #74964	C₂	semidirect
6. #74963	C₂	semidirect
7. #74963	C₂	semidirect
8. #74946	C₂	semidirect
9. #74946	C₂	semidirect
10. #74938	C₂	semidirect
11. #74938	C₂	semidirect
16. #74264	C₂	semidirect
17. #74260	C₂	semidirect
18. #74158	C₂	semidirect
19. #74151	C₂	semidirect
22. #73642	C₂	semidirect
23. #73619	C₂	semidirect
28. #73393	C₂	semidirect
29. #73384	C₂	semidirect
38. #5516	C₄	semidirect
318. #887	C₂×C₄	semidirect
319. #887	C₂×C₄	semidirect
320. #887	C₂×C₄	semidirect
321. #887	C₂×C₄	semidirect
328. C₄×Dic₆	C₂×C₄	semidirect
329. C₄×Dic₆	C₂×C₄	semidirect
330. C₄×Dic₆	C₂×C₄	semidirect
331. C₄×Dic₆	C₂×C₄	semidirect
1332. C₃	#34254	semidirect

Maximal subgroups

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

subgroup	index
C₂×#5516	2
C₃×#2343	2
#82237	2
#74964	2
#74963	2
#74946	2
#74938	2
#74392	2
#74382	2
#74378	2
#74264	2
#74260	2
#74158	2
#74151	2
#74059	2
#74053	2
#73642	2
#73619	2
#73455	2
#73435	2
C₄×#877	2
#73393	2
#73384	2
#73335	2
C₂×#4646	2
#34254	3