Subgroups — #11001698

Order 768.

1506 conjugacy classes of subgroups.

The subgroup lattice has 1318 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#2401	C₂	1	1	yes	maximal, characteristic, complemented
2	#78438	C₂	1	1	yes	maximal, characteristic, complemented
3	#78427	C₂	1	1	yes	maximal, characteristic, complemented
4	#78408	C₂	1	1	yes	maximal, characteristic, complemented
5	#78407	C₂	1	1	yes	maximal, characteristic, complemented
6	#78333	C₂	1	1	yes	maximal, characteristic, complemented
7	#78331	C₂	1	1	yes	maximal, characteristic, complemented
8	#78323	C₂	1	1	yes	maximal, characteristic, complemented
9	#78316	C₂	1	1	yes	maximal, characteristic, complemented
10	#77735	C₂	1	1	yes	maximal, characteristic
11	#77734	C₂	1	1	yes	maximal, characteristic
12	#77728	C₂	1	1	yes	maximal, characteristic
13	#77666	C₂	1	1	yes	maximal, characteristic, complemented
14	#77664	C₂	1	1	yes	maximal, characteristic, complemented
15	#77656	C₂	1	1	yes	maximal, characteristic, complemented
16	#77449	C₂	1	1	yes	maximal, characteristic
17	#77405	C₂	1	1	yes	maximal, characteristic, complemented
18	#73779	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×#896	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×#897	C₂	1	1	yes	maximal, characteristic, complemented
21	#73671	C₂	1	1	yes	maximal, characteristic, complemented
22	#73670	C₂	1	1	yes	maximal, characteristic, complemented
23	#73669	C₂	1	1	yes	maximal, characteristic, complemented
24	#73583	C₂	1	1	yes	maximal, characteristic
25	C₄×#883	C₂	1	1	yes	maximal, characteristic
26	#73482	C₂	1	1	yes	maximal, characteristic, complemented
27	#73481	C₂	1	1	yes	maximal, characteristic
28	#73480	C₂	1	1	yes	maximal, characteristic, complemented
29	#73480	C₂	1	1	yes	maximal, characteristic, complemented
30	#73420	C₂	1	1	yes	maximal, characteristic, complemented
31	#73397	C₂	1	1	yes	maximal, characteristic, complemented
32	#36679	—	3	1	no	maximal, Sylow
33	C₂×C₄×#67	C₂²	1	1	yes	characteristic
34	C₂×#926	C₂²	1	1	yes	characteristic
35	C₂×#897	C₂²	1	1	yes	characteristic
36	C₂×#896	C₂²	1	1	yes	characteristic
37	C₂×#883	C₂²	1	1	yes	characteristic
38	C₂×C₄²×D₃	C₂²	1	1	yes	characteristic
39	C₂×C₄×Dic₆	C₂²	1	1	yes	characteristic
40	C₂×C₄×Dic₆	C₂²	1	1	yes	characteristic
41	C₂×C₄×Dic₆	C₂²	1	1	yes	characteristic
42	C₃×#401	C₂²	1	1	yes	characteristic
43	C₃×#400	C₂²	1	1	yes	characteristic
44	C₃×#400	C₂²	1	1	yes	characteristic
45	C₃×#400	C₂²	1	1	yes	characteristic
46	C₃×#397	C₂²	1	1	yes	characteristic
47	C₃×#397	C₂²	1	1	yes	characteristic
48	C₃×#397	C₂²	1	1	yes	characteristic
49	C₃×#396	C₂²	1	1	yes	characteristic
50	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
51	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
52	C₃×C₄×C₄⋊C₄	C₂²	1	1	yes	characteristic
53	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
54	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
55	C₃×C₄×C₂²⋊C₄	C₂²	1	1	yes	characteristic
56	C₃×#376	C₂²	1	1	yes	characteristic
57	C₄×#217	C₂²	1	1	yes	characteristic
58	C₄×#217	C₂²	1	1	yes	characteristic
59	#4994	C₂²	1	1	yes	characteristic
60	#4992	C₂²	1	1	yes	characteristic
61	#4989	C₂²	1	1	yes	characteristic
62	#4987	C₂²	1	1	yes	characteristic
63	#4986	C₂²	1	1	yes	characteristic
64	#4986	C₂²	1	1	yes	characteristic
65	#4986	C₂²	1	1	yes	characteristic
66	#4985	C₂²	1	1	yes	characteristic
67	#4985	C₂²	1	1	yes	characteristic
68	#4984	C₂²	1	1	yes	characteristic
69	#4983	C₂²	1	1	yes	characteristic
70	#4982	C₂²	1	1	yes	characteristic
71	#4982	C₂²	1	1	yes	characteristic
72	#4982	C₂²	1	1	yes	characteristic
73	#4982	C₂²	1	1	yes	characteristic
74	#4982	C₂²	1	1	yes	characteristic
75	#4981	C₂²	1	1	yes	characteristic
76	#4980	C₂²	1	1	yes	characteristic
77	#4979	C₂²	1	1	yes	characteristic
78	#4979	C₂²	1	1	yes	characteristic
79	#4976	C₂²	1	1	yes	characteristic
80	#4973	C₂²	1	1	yes	characteristic
81	#4961	C₂²	1	1	yes	characteristic
82	#4961	C₂²	1	1	yes	characteristic
83	#4961	C₂²	1	1	yes	characteristic
84	#4959	C₂²	1	1	yes	characteristic
85	#4956	C₂²	1	1	yes	characteristic
86	#4953	C₂²	1	1	yes	characteristic
87	#4953	C₂²	1	1	yes	characteristic
88	#4953	C₂²	1	1	yes	characteristic
89	#4952	C₂²	1	1	yes	characteristic
90	#4952	C₂²	1	1	yes	characteristic
91	#4952	C₂²	1	1	yes	characteristic
92	#4951	C₂²	1	1	yes	characteristic
93	#4949	C₂²	1	1	yes	characteristic
94	#4949	C₂²	1	1	yes	characteristic
95	#4948	C₂²	1	1	yes	characteristic
96	#4948	C₂²	1	1	yes	characteristic
97	#4948	C₂²	1	1	yes	characteristic
98	#4948	C₂²	1	1	yes	characteristic
99	#4948	C₂²	1	1	yes	characteristic
100	#4947	C₂²	1	1	yes	characteristic
101	#4947	C₂²	1	1	yes	characteristic
102	#4947	C₂²	1	1	yes	characteristic
103	#4945	C₂²	1	1	yes	characteristic
104	C₄×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
105	C₄×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
106	C₄×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
107	C₄×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
108	C₄×(C₂×D₃)⋊C₄	C₂²	1	1	yes	characteristic
109	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
110	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
111	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
112	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
113	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
114	C₄×C₄⋊Dic₃	C₂²	1	1	yes	characteristic
115	#4932	C₂²	1	1	yes	characteristic
116	#4932	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	C₄×Dic₃⋊C₄	C₂²	1	1	yes	characteristic
124	#4677	C₂²	1	1	yes	characteristic
125	#4676	C₂²	1	1	yes	characteristic
126	#4675	C₂²	1	1	yes	characteristic
127	#4675	C₂²	1	1	yes	characteristic
128	#4675	C₂²	1	1	yes	characteristic
129	#4675	C₂²	1	1	yes	characteristic
130	#4675	C₂²	1	1	yes	characteristic
131	#4674	C₂²	1	1	yes	characteristic
132	#4674	C₂²	1	1	yes	characteristic
133	#4673	C₂²	1	1	yes	characteristic
134	#4668	C₂²	1	1	yes	characteristic
135	#4668	C₂²	1	1	yes	characteristic
136	#4668	C₂²	1	1	yes	characteristic
137	#4668	C₂²	1	1	yes	characteristic
138	#4667	C₂²	1	1	yes	characteristic
139	#4664	C₂²	1	1	yes	characteristic
140	C₃⋊#401	C₂²	1	1	yes	characteristic
141	C₃⋊#401	C₂²	1	1	yes	characteristic
142	C₃⋊#401	C₂²	1	1	yes	characteristic
143	#4661	C₂²	1	1	yes	characteristic
144	#4661	C₂²	1	1	yes	characteristic
145	#4661	C₂²	1	1	yes	characteristic
146	#4661	C₂²	1	1	yes	characteristic
147	#4661	C₂²	1	1	yes	characteristic
148	#4661	C₂²	1	1	yes	characteristic
149	#4661	C₂²	1	1	yes	characteristic
150	#4661	C₂²	1	1	yes	characteristic
151	#4661	C₂²	1	1	yes	characteristic
152	#4660	C₂²	1	1	yes	characteristic
153	#4660	C₂²	1	1	yes	characteristic
154	#4660	C₂²	1	1	yes	characteristic
155	#4660	C₂²	1	1	yes	characteristic
156	#4660	C₂²	1	1	yes	characteristic
157	#4660	C₂²	1	1	yes	characteristic
158	#4660	C₂²	1	1	yes	characteristic
159	#4659	C₂²	1	1	yes	characteristic
160	#4659	C₂²	1	1	yes	characteristic
161	#4659	C₂²	1	1	yes	characteristic
162	#4658	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	#4658	C₂²	1	1	yes	characteristic
168	#4658	C₂²	1	1	yes	characteristic
169	#4657	C₂²	1	1	yes	characteristic
170	#4657	C₂²	1	1	yes	characteristic
171	#4657	C₂²	1	1	yes	characteristic
172	#4657	C₂²	1	1	yes	characteristic
173	#4657	C₂²	1	1	yes	characteristic
174	#4656	C₂²	1	1	yes	characteristic
175	#4656	C₂²	1	1	yes	characteristic
176	#4656	C₂²	1	1	yes	characteristic
177	#4656	C₂²	1	1	yes	characteristic
178	#4656	C₂²	1	1	yes	characteristic
179	#4656	C₂²	1	1	yes	characteristic
180	#4656	C₂²	1	1	yes	characteristic
181	#4656	C₂²	1	1	yes	characteristic
182	#4654	C₂²	1	1	yes	characteristic
183	#4653	C₂²	1	1	yes	characteristic
184	#4653	C₂²	1	1	yes	characteristic
185	#4652	C₂²	1	1	yes	characteristic
186	#4652	C₂²	1	1	yes	characteristic
187	#4646	C₂²	1	1	yes	characteristic
188	#2841	—	3	1	no	—
189	#2839	—	3	1	no	—
190	#2839	—	3	1	no	—
191	#2838	—	3	1	no	—
192	#2838	—	3	1	no	—
193	#2835	—	3	1	no	—
194	#2834	—	3	1	no	—
195	#2833	—	3	1	no	—
196	#2833	—	3	1	no	—
197	#2831	—	3	1	no	—
198	#2831	—	3	1	no	—
199	#2827	—	3	1	no	—
200	#2827	—	3	1	no	—
201	#2817	—	3	1	no	—
202	#2814	—	3	1	no	—
203	#2814	—	3	1	no	—
204	#2402	—	3	1	no	—
205	#2402	—	3	1	no	—
206	#2401	—	3	1	no	—
207	#2401	—	3	1	no	—
208	#2401	—	3	1	no	—
209	#2401	D₃	1	1	yes	characteristic, complemented
210	#2399	—	3	1	no	—
211	#2399	—	3	1	no	—
212	#2398	—	3	1	no	—
213	#2396	—	3	1	no	—
214	#2396	—	3	1	no	—
215	#2395	—	3	1	no	—
216	C₄×C₂²⋊Q₈	—	3	1	no	—
217	C₄×C₂²⋊Q₈	—	3	1	no	—
218	C₄×#123	—	3	1	no	—
219	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
220	C₂²×#67	C₂³	1	1	yes	characteristic
221	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
222	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
223	C₂²×C₄×D₃	C₂³	1	1	yes	characteristic
224	C₂²×Dic₆	C₂³	1	1	yes	characteristic
225	C₂²×Dic₆	C₂³	1	1	yes	characteristic
226	C₂²×Dic₆	C₂³	1	1	yes	characteristic
227	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×C₃×C₂²⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
240	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
241	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
242	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
243	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
244	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
245	C₂×#217	C₂³	1	1	yes	characteristic
246	C₂×#217	C₂³	1	1	yes	characteristic
247	C₂×#217	C₂³	1	1	yes	characteristic
248	C₂×#217	C₂³	1	1	yes	characteristic
249	C₂×#217	C₂³	1	1	yes	characteristic
250	C₂×#217	C₂³	1	1	yes	characteristic
251	C₂×#217	C₂³	1	1	yes	characteristic
252	C₄×#67	—	4	2	no	—
253	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×(C₂×D₃)⋊C₄	C₂³	1	1	yes	characteristic
264	#926	—	4	2	no	—
265	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
275	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
276	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
277	C₂×C₄⋊Dic₃	C₂³	1	1	yes	characteristic
278	C₂×C₄⋊Dic₃	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×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×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×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	#897	—	2	4	no	—
313	#896	—	2	4	no	—
314	#883	—	2	4	no	—
315	C₄²×D₃	—	4	2	no	—
316	C₄×Dic₆	—	4	2	no	—
317	C₄×Dic₆	—	4	2	no	—
318	C₄×Dic₆	—	4	2	no	—
319	C₃×#95	C₂³	1	1	yes	characteristic
320	C₃×#95	C₂³	1	1	yes	characteristic
321	C₃×#95	C₂³	1	1	yes	characteristic
322	C₃×#95	C₂³	1	1	yes	characteristic
323	C₃×#95	C₂³	1	1	yes	characteristic
324	C₃×#95	C₂³	1	1	yes	characteristic
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×#123	—	3	1	no	—
384	C₂×C₂²⋊Q₈	—	3	1	no	—
385	C₂×C₂²⋊Q₈	—	3	1	no	—
386	C₂×C₄×Q₈	—	3	1	no	—
387	C₂×C₄×Q₈	—	3	1	no	—
388	C₂×C₄×Q₈	—	3	1	no	—
389	C₂×C₄×D₄	—	3	1	no	—
390	C₂×#117	—	3	1	no	—
391	C₂²×C₄²	—	3	1	no	—
392	#401	—	3	1	no	—
393	#401	—	3	1	no	—
394	#401	—	3	1	no	—
395	#401	C₂×D₃	1	1	yes	characteristic
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	#400	—	3	1	no	—
402	#400	—	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	#400	—	3	1	no	—
410	#400	—	3	1	no	—
411	#400	—	3	1	no	—
412	#400	—	3	1	no	—
413	#400	—	3	1	no	—
414	#400	—	3	1	no	—
415	#400	—	3	1	no	—
416	#400	—	3	1	no	—
417	#400	—	3	1	no	—
418	#400	C₂×D₃	1	1	yes	characteristic
419	#400	C₂×D₃	1	1	yes	characteristic
420	#400	C₂×D₃	1	1	yes	characteristic
421	#399	—	3	1	no	—
422	#399	—	3	1	no	—
423	#399	—	3	1	no	—
424	#398	—	3	1	no	—
425	#398	—	3	1	no	—
426	#398	—	3	1	no	—
427	#398	—	3	1	no	—
428	#398	—	3	1	no	—
429	#398	—	3	1	no	—
430	#398	—	3	1	no	—
431	#398	—	3	1	no	—
432	#398	—	3	1	no	—
433	#398	—	3	1	no	—
434	#398	—	3	1	no	—
435	#398	—	3	1	no	—
436	#398	—	3	1	no	—
437	#398	—	3	1	no	—
438	#398	—	3	1	no	—
439	#398	—	3	1	no	—
440	#398	—	3	1	no	—
441	#398	—	3	1	no	—
442	#398	—	3	1	no	—
443	#398	—	3	1	no	—
444	#398	—	3	1	no	—
445	#397	—	3	1	no	—
446	#397	—	3	1	no	—
447	#397	—	3	1	no	—
448	#397	—	3	1	no	—
449	#397	—	3	1	no	—
450	#397	—	3	1	no	—
451	#397	—	3	1	no	—
452	#397	—	3	1	no	—
453	#397	—	3	1	no	—
454	#397	—	3	1	no	—
455	#397	—	3	1	no	—
456	#397	—	3	1	no	—
457	#397	—	3	1	no	—
458	#397	—	3	1	no	—
459	#397	C₂×D₃	1	1	yes	characteristic
460	#397	C₂×D₃	1	1	yes	characteristic
461	#397	C₂×D₃	1	1	yes	characteristic
462	#396	—	3	1	no	—
463	#396	—	3	1	no	—
464	#396	—	3	1	no	—
465	#396	—	3	1	no	—
466	#396	—	3	1	no	—
467	#396	—	3	1	no	—
468	#396	—	3	1	no	—
469	#396	C₂×D₃	1	1	yes	characteristic
470	#395	—	3	1	no	—
471	#395	—	3	1	no	—
472	#395	—	3	1	no	—
473	#395	—	3	1	no	—
474	#395	—	3	1	no	—
475	#395	—	3	1	no	—
476	#395	—	3	1	no	—
477	#395	—	3	1	no	—
478	#395	—	3	1	no	—
479	#395	—	3	1	no	—
480	#394	—	3	1	no	—
481	#394	—	3	1	no	—
482	#394	—	3	1	no	—
483	#394	—	3	1	no	—
484	#393	—	3	1	no	—
485	#393	—	3	1	no	—
486	#393	—	3	1	no	—
487	#393	—	3	1	no	—
488	#391	—	3	1	no	—
489	#391	—	3	1	no	—
490	#389	—	3	1	no	—
491	#389	—	3	1	no	—
492	#388	—	3	1	no	—
493	#388	—	3	1	no	—
494	#387	—	3	1	no	—
495	#387	—	3	1	no	—
496	#387	—	3	1	no	—
497	#387	—	3	1	no	—
498	#387	—	3	1	no	—
499	#387	—	3	1	no	—
500	#386	—	3	1	no	—
501	#385	—	3	1	no	—
502	#385	—	3	1	no	—
503	#385	—	3	1	no	—
504	#385	—	3	1	no	—
505	#385	—	3	1	no	—
506	#381	—	3	1	no	—
507	#380	—	3	1	no	—
508	#380	—	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	C₂×D₃	1	1	yes	characteristic
523	C₄×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
524	C₄×C₄⋊C₄	C₂×D₃	1	1	yes	characteristic
525	C₄×C₂²⋊C₄	—	3	1	no	—
526	C₄×C₂²⋊C₄	—	3	1	no	—
527	C₄×C₂²⋊C₄	—	3	1	no	—
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	C₂×D₃	1	1	yes	characteristic
533	C₄×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
534	C₄×C₂²⋊C₄	C₂×D₃	1	1	yes	characteristic
535	#376	—	3	1	no	—
536	#376	—	3	1	no	—
537	#376	C₂×D₃	1	1	yes	characteristic
538	C₂⁴×C₃	C₂⁴	1	1	yes	characteristic
539	C₂³×D₃	C₂⁴	1	1	yes	characteristic
540	C₂²×C₃×C₄	—	2	2	no	—
541	C₂²×C₃×C₄	—	2	2	no	—
542	C₂²×C₃×C₄	—	2	2	no	—
543	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
544	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
545	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
546	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
547	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
548	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
549	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
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	C₂×#67	—	2	2	no	—
558	C₂×#67	—	4	1	no	—
559	C₂×#67	—	4	1	no	—
560	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
561	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
562	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
563	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
564	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
565	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
566	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
567	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
568	C₂²×Dic₃	C₂⁴	1	1	yes	characteristic
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	C₂×C₄×D₃	—	2	2	no	—
576	C₂×C₄×D₃	—	2	2	no	—
577	C₂×C₄×D₃	—	2	2	no	—
578	C₂×C₄×D₃	—	4	1	no	—
579	C₂×C₄×D₃	—	4	1	no	—
580	C₂×C₄×D₃	—	4	1	no	—
581	C₂×C₄×D₃	—	4	1	no	—
582	C₂×C₄×D₃	—	4	1	no	—
583	C₂×C₄×D₃	#41	1	4	yes	—
584	C₂×Dic₆	—	2	2	no	—
585	C₂×Dic₆	—	2	2	no	—
586	C₂×Dic₆	—	4	1	no	—
587	C₂×Dic₆	—	4	1	no	—
588	C₂×Dic₆	—	4	1	no	—
589	C₂×Dic₆	—	4	1	no	—
590	C₂×Dic₆	—	4	1	no	—
591	C₂×Dic₆	—	4	1	no	—
592	C₂×Dic₆	—	4	1	no	—
593	C₃×C₄⋊C₄	—	2	2	no	—
594	C₃×C₄⋊C₄	—	2	2	no	—
595	C₃×C₄⋊C₄	—	4	1	no	—
596	C₃×C₄⋊C₄	—	4	1	no	—
597	C₃×C₄⋊C₄	—	4	1	no	—
598	C₃×C₄⋊C₄	—	4	1	no	—
599	C₃×C₂²⋊C₄	—	2	2	no	—
600	C₃×C₂²⋊C₄	—	4	1	no	—
601	C₃×C₂²⋊C₄	—	4	1	no	—
602	C₃×C₂²⋊C₄	—	4	1	no	—
603	C₃×C₂²⋊C₄	—	4	1	no	—
604	C₃×C₂²⋊C₄	—	4	1	no	—
605	C₃×C₄²	—	2	2	no	—
606	C₃×C₄²	—	2	2	no	—
607	C₃×C₄²	—	2	2	no	—
608	C₃×C₄²	—	2	2	no	—
609	C₃×C₄²	—	2	2	no	—
610	C₃×C₄²	—	2	2	no	—
611	#217	—	2	2	no	—
612	#217	—	4	1	no	—
613	#217	—	4	1	no	—
614	#217	—	4	1	no	—
615	#217	—	4	1	no	—
616	#217	—	4	1	no	—
617	#217	—	4	1	no	—
618	(C₂×D₃)⋊C₄	—	2	2	no	—
619	(C₂×D₃)⋊C₄	—	2	2	no	—
620	(C₂×D₃)⋊C₄	—	2	2	no	—
621	(C₂×D₃)⋊C₄	—	2	2	no	—
622	(C₂×D₃)⋊C₄	—	2	2	no	—
623	(C₂×D₃)⋊C₄	—	4	1	no	—
624	(C₂×D₃)⋊C₄	—	4	1	no	—
625	(C₂×D₃)⋊C₄	—	4	1	no	—
626	(C₂×D₃)⋊C₄	—	4	1	no	—
627	(C₂×D₃)⋊C₄	—	4	1	no	—
628	(C₂×D₃)⋊C₄	—	4	1	no	—
629	C₄⋊Dic₃	—	2	2	no	—
630	C₄⋊Dic₃	—	2	2	no	—
631	C₄⋊Dic₃	—	2	2	no	—
632	C₄⋊Dic₃	—	4	1	no	—
633	C₄⋊Dic₃	—	4	1	no	—
634	C₄⋊Dic₃	—	4	1	no	—
635	C₄⋊Dic₃	—	4	1	no	—
636	C₄⋊Dic₃	—	4	1	no	—
637	C₄⋊Dic₃	—	4	1	no	—
638	C₄⋊Dic₃	—	4	1	no	—
639	C₄⋊Dic₃	—	4	1	no	—
640	C₄⋊Dic₃	—	4	1	no	—
641	C₄⋊Dic₃	—	4	1	no	—
642	C₄⋊Dic₃	—	4	1	no	—
643	C₄⋊Dic₃	—	4	1	no	—
644	C₄⋊Dic₃	—	4	1	no	—
645	C₄⋊Dic₃	—	4	1	no	—
646	Dic₃⋊C₄	—	2	2	no	—
647	Dic₃⋊C₄	—	2	2	no	—
648	Dic₃⋊C₄	—	2	2	no	—
649	Dic₃⋊C₄	—	4	1	no	—
650	Dic₃⋊C₄	—	4	1	no	—
651	Dic₃⋊C₄	—	4	1	no	—
652	Dic₃⋊C₄	—	4	1	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	—	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	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	—	4	1	no	—
675	C₄×Dic₃	—	4	1	no	—
676	C₂²×Q₈	—	3	1	no	—
677	C₂²×Q₈	—	3	1	no	—
678	C₂²×Q₈	—	3	1	no	—
679	C₂²×D₄	—	3	1	no	—
680	C₂³×C₄	—	3	1	no	—
681	C₂³×C₄	—	3	1	no	—
682	C₂³×C₄	—	3	1	no	—
683	C₂³×C₄	C₂²×D₃	1	1	yes	characteristic
684	#123	—	6	4	no	—
685	C₂²⋊Q₈	—	6	4	no	—
686	C₂²⋊Q₈	—	6	4	no	—
687	C₄×Q₈	—	12	2	no	—
688	C₄×Q₈	—	12	2	no	—
689	C₄×Q₈	—	12	2	no	—
690	C₄×D₄	—	12	2	no	—
691	#117	—	12	2	no	—
692	C₂×C₄⋊C₄	—	3	1	no	—
693	C₂×C₄⋊C₄	—	3	1	no	—
694	C₂×C₄⋊C₄	—	3	1	no	—
695	C₂×C₄⋊C₄	—	3	1	no	—
696	C₂×C₄⋊C₄	—	3	1	no	—
697	C₂×C₄⋊C₄	—	3	1	no	—
698	C₂×C₄⋊C₄	—	3	1	no	—
699	C₂×C₄⋊C₄	—	3	1	no	—
700	C₂×C₄⋊C₄	—	3	1	no	—
701	C₂×C₄⋊C₄	—	3	1	no	—
702	C₂×C₄⋊C₄	—	3	1	no	—
703	C₂×C₄⋊C₄	—	3	1	no	—
704	C₂×C₄⋊C₄	—	3	1	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	C₂²×D₃	1	1	yes	characteristic
731	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
732	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
733	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
734	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
735	C₂×C₄⋊C₄	C₂²×D₃	1	1	yes	characteristic
736	C₂×C₂²⋊C₄	—	3	1	no	—
737	C₂×C₂²⋊C₄	—	3	1	no	—
738	C₂×C₂²⋊C₄	—	3	1	no	—
739	C₂×C₂²⋊C₄	—	3	1	no	—
740	C₂×C₂²⋊C₄	—	3	1	no	—
741	C₂×C₂²⋊C₄	—	3	1	no	—
742	C₂×C₂²⋊C₄	—	3	1	no	—
743	C₂×C₂²⋊C₄	—	3	1	no	—
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	C₂²×D₃	1	1	yes	characteristic
755	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
756	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
757	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
758	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
759	C₂×C₂²⋊C₄	C₂²×D₃	1	1	yes	characteristic
760	C₂×C₄²	—	3	1	no	—
761	C₂×C₄²	—	3	1	no	—
762	C₂×C₄²	—	3	1	no	—
763	C₂×C₄²	—	3	1	no	—
764	C₂×C₄²	—	3	1	no	—
765	C₂×C₄²	—	3	1	no	—
766	C₂×C₄²	—	3	1	no	—
767	C₂×C₄²	—	3	1	no	—
768	C₂×C₄²	—	3	1	no	—
769	C₂×C₄²	—	12	2	no	—
770	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
771	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
772	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
773	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
774	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
775	C₂×C₄²	C₂²×D₃	1	1	yes	characteristic
776	#95	—	3	1	no	—
777	#95	—	3	1	no	—
778	#95	—	3	1	no	—
779	#95	—	3	1	no	—
780	#95	—	3	1	no	—
781	#95	—	3	1	no	—
782	#95	—	3	1	no	—
783	#95	—	3	1	no	—
784	#95	—	3	1	no	—
785	#95	—	3	1	no	—
786	#95	—	3	1	no	—
787	#95	—	3	1	no	—
788	#95	—	3	1	no	—
789	#95	—	3	1	no	—
790	#95	—	3	1	no	—
791	#95	—	3	1	no	—
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	C₂²×D₃	1	1	yes	characteristic
825	#95	C₂²×D₃	1	1	yes	characteristic
826	#95	C₂²×D₃	1	1	yes	characteristic
827	#95	C₂²×D₃	1	1	yes	characteristic
828	#95	C₂²×D₃	1	1	yes	characteristic
829	#95	C₂²×D₃	1	1	yes	characteristic
830	#95	C₂²×D₃	1	1	yes	characteristic
831	#95	C₂²×D₃	1	1	yes	characteristic
832	#95	C₂²×D₃	1	1	yes	characteristic
833	#95	C₂²×D₃	1	1	yes	characteristic
834	#95	C₂²×D₃	1	1	yes	characteristic
835	#95	C₂²×D₃	1	1	yes	characteristic
836	#95	C₂²×D₃	1	1	yes	characteristic
837	#95	C₂²×D₃	1	1	yes	characteristic
838	#95	C₂²×D₃	1	1	yes	characteristic
839	#95	C₂²×D₃	1	1	yes	characteristic
840	C₂³×C₃	—	2	1	no	—
841	C₂³×C₃	—	2	1	no	—
842	C₂³×C₃	—	2	1	no	—
843	C₂³×C₃	—	2	1	no	—
844	C₂³×C₃	—	2	1	no	—
845	C₂³×C₃	—	2	1	no	—
846	C₂³×C₃	—	2	1	no	—
847	C₂³×C₃	C₂⁵	1	1	yes	characteristic
848	C₂²×D₃	—	2	1	no	—
849	C₂²×D₃	—	2	1	no	—
850	C₂²×D₃	—	2	1	no	—
851	C₂²×D₃	—	2	1	no	—
852	C₂²×D₃	—	2	1	no	—
853	C₂²×D₃	—	2	1	no	—
854	C₂²×D₃	C₂×#41	1	2	yes	—
855	C₂×C₃×C₄	—	2	1	no	—
856	C₂×C₃×C₄	—	2	1	no	—
857	C₂×C₃×C₄	—	2	1	no	—
858	C₂×C₃×C₄	—	2	1	no	—
859	C₂×C₃×C₄	—	2	1	no	—
860	C₂×C₃×C₄	—	2	1	no	—
861	C₂×C₃×C₄	—	2	1	no	—
862	C₂×C₃×C₄	—	2	1	no	—
863	C₂×C₃×C₄	—	2	1	no	—
864	C₂×C₃×C₄	—	2	1	no	—
865	C₂×C₃×C₄	—	2	1	no	—
866	C₂×C₃×C₄	—	2	1	no	—
867	C₂×C₃×C₄	—	2	1	no	—
868	C₂×C₃×C₄	—	2	1	no	—
869	C₂×C₃×C₄	—	2	1	no	—
870	C₂×C₃×C₄	—	2	1	no	—
871	C₂×C₃×C₄	—	2	1	no	—
872	C₂×C₃×C₄	—	2	1	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	—	4	4	no	—
894	C₂×C₃×C₄	C₂×#41	1	2	yes	—
895	C₂×C₃×C₄	H(5,𝔽₂)	1	2	yes	—
896	C₂×C₃×C₄	2₋¹⁺⁴	1	2	yes	—
897	C₂×C₃×C₄	2₋¹⁺⁴	1	2	yes	—
898	#67	—	4	4	no	—
899	C₂×Dic₃	—	2	1	no	—
900	C₂×Dic₃	—	2	1	no	—
901	C₂×Dic₃	—	2	1	no	—
902	C₂×Dic₃	—	2	1	no	—
903	C₂×Dic₃	—	2	1	no	—
904	C₂×Dic₃	—	2	1	no	—
905	C₂×Dic₃	—	2	1	no	—
906	C₂×Dic₃	—	2	1	no	—
907	C₂×Dic₃	—	2	1	no	—
908	C₂×Dic₃	—	2	1	no	—
909	C₂×Dic₃	—	2	1	no	—
910	C₂×Dic₃	—	2	1	no	—
911	C₂×Dic₃	—	2	1	no	—
912	C₂×Dic₃	—	2	1	no	—
913	C₂×Dic₃	—	2	1	no	—
914	C₂×Dic₃	—	2	1	no	—
915	C₂×Dic₃	—	2	1	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	C₂×#41	1	2	yes	—
944	C₄×D₃	—	4	4	no	—
945	C₄×D₃	—	4	4	no	—
946	C₄×D₃	—	4	4	no	—
947	Dic₆	—	4	4	no	—
948	Dic₆	—	4	4	no	—
949	Dic₆	—	4	4	no	—
950	C₂⁴	—	3	1	no	—
951	C₂⁴	C₂³×D₃	1	1	yes	characteristic
952	C₂×Q₈	—	6	2	no	—
953	C₂×Q₈	—	6	2	no	—
954	C₂×Q₈	—	12	1	no	—
955	C₂×Q₈	—	12	1	no	—
956	C₂×Q₈	—	12	1	no	—
957	C₂×Q₈	—	12	1	no	—
958	C₂×Q₈	—	12	1	no	—
959	C₂×Q₈	—	12	1	no	—
960	C₂×Q₈	—	12	1	no	—
961	C₂×D₄	—	6	2	no	—
962	C₂×D₄	—	12	1	no	—
963	C₂×D₄	—	12	1	no	—
964	C₂²×C₄	—	2	2	no	—
965	C₂²×C₄	—	2	2	no	—
966	C₂²×C₄	—	2	2	no	—
967	C₂²×C₄	—	3	1	no	—
968	C₂²×C₄	—	3	4	no	—
969	C₂²×C₄	—	3	1	no	—
970	C₂²×C₄	—	3	1	no	—
971	C₂²×C₄	—	3	1	no	—
972	C₂²×C₄	—	3	1	no	—
973	C₂²×C₄	—	3	1	no	—
974	C₂²×C₄	—	3	1	no	—
975	C₂²×C₄	—	3	1	no	—
976	C₂²×C₄	—	3	1	no	—
977	C₂²×C₄	—	3	1	no	—
978	C₂²×C₄	—	3	1	no	—
979	C₂²×C₄	—	3	1	no	—
980	C₂²×C₄	—	3	1	no	—
981	C₂²×C₄	—	3	1	no	—
982	C₂²×C₄	—	3	1	no	—
983	C₂²×C₄	—	6	2	no	—
984	C₂²×C₄	—	6	2	no	—
985	C₂²×C₄	—	6	2	no	—
986	C₂²×C₄	—	12	1	no	—
987	C₂²×C₄	—	12	1	no	—
988	C₂²×C₄	—	12	1	no	—
989	C₂²×C₄	—	12	1	no	—
990	C₂²×C₄	—	12	1	no	—
991	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
992	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
993	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
994	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
995	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
996	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
997	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
998	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
999	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1000	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1001	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1002	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1003	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1004	C₂²×C₄	C₂³×D₃	1	1	yes	characteristic
1005	C₄⋊C₄	—	2	2	no	—
1006	C₄⋊C₄	—	2	2	no	—
1007	C₄⋊C₄	—	4	1	no	—
1008	C₄⋊C₄	—	4	1	no	—
1009	C₄⋊C₄	—	4	1	no	—
1010	C₄⋊C₄	—	4	1	no	—
1011	C₄⋊C₄	—	6	2	no	—
1012	C₄⋊C₄	—	6	2	no	—
1013	C₄⋊C₄	—	6	2	no	—
1014	C₄⋊C₄	—	6	2	no	—
1015	C₄⋊C₄	—	6	2	no	—
1016	C₄⋊C₄	—	6	2	no	—
1017	C₄⋊C₄	—	12	1	no	—
1018	C₄⋊C₄	—	12	1	no	—
1019	C₄⋊C₄	—	12	1	no	—
1020	C₄⋊C₄	—	12	1	no	—
1021	C₄⋊C₄	—	12	1	no	—
1022	C₄⋊C₄	—	12	1	no	—
1023	C₄⋊C₄	—	12	1	no	—
1024	C₄⋊C₄	—	12	1	no	—
1025	C₄⋊C₄	—	12	1	no	—
1026	C₄⋊C₄	—	12	1	no	—
1027	C₄⋊C₄	—	12	1	no	—
1028	C₄⋊C₄	—	12	1	no	—
1029	C₄⋊C₄	—	12	1	no	—
1030	C₄⋊C₄	—	12	1	no	—
1031	C₄⋊C₄	—	12	1	no	—
1032	C₄⋊C₄	—	12	1	no	—
1033	C₄⋊C₄	—	12	1	no	—
1034	C₄⋊C₄	—	12	1	no	—
1035	C₄⋊C₄	—	12	1	no	—
1036	C₄⋊C₄	—	12	1	no	—
1037	C₄⋊C₄	—	12	1	no	—
1038	C₄⋊C₄	—	12	1	no	—
1039	C₄⋊C₄	—	12	1	no	—
1040	C₄⋊C₄	—	12	1	no	—
1041	C₄⋊C₄	—	12	1	no	—
1042	C₄⋊C₄	—	12	1	no	—
1043	C₄⋊C₄	—	12	1	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	C₂²⋊C₄	—	2	2	no	—
1050	C₂²⋊C₄	—	4	1	no	—
1051	C₂²⋊C₄	—	4	1	no	—
1052	C₂²⋊C₄	—	4	1	no	—
1053	C₂²⋊C₄	—	4	1	no	—
1054	C₂²⋊C₄	—	4	1	no	—
1055	C₂²⋊C₄	—	6	2	no	—
1056	C₂²⋊C₄	—	6	2	no	—
1057	C₂²⋊C₄	—	6	2	no	—
1058	C₂²⋊C₄	—	6	2	no	—
1059	C₂²⋊C₄	—	6	2	no	—
1060	C₂²⋊C₄	—	6	2	no	—
1061	C₂²⋊C₄	—	12	1	no	—
1062	C₂²⋊C₄	—	12	1	no	—
1063	C₂²⋊C₄	—	12	1	no	—
1064	C₂²⋊C₄	—	12	1	no	—
1065	C₂²⋊C₄	—	12	1	no	—
1066	C₂²⋊C₄	—	12	1	no	—
1067	C₂²⋊C₄	—	12	1	no	—
1068	C₂²⋊C₄	—	12	1	no	—
1069	C₂²⋊C₄	—	12	1	no	—
1070	C₂²⋊C₄	—	12	1	no	—
1071	C₂²⋊C₄	—	12	1	no	—
1072	C₂²⋊C₄	—	12	1	no	—
1073	C₄²	—	2	2	no	—
1074	C₄²	—	2	2	no	—
1075	C₄²	—	2	2	no	—
1076	C₄²	—	2	2	no	—
1077	C₄²	—	2	2	no	—
1078	C₄²	—	2	2	no	—
1079	C₄²	—	6	2	no	—
1080	C₄²	—	6	2	no	—
1081	C₄²	—	6	2	no	—
1082	C₄²	—	6	2	no	—
1083	C₄²	—	6	2	no	—
1084	C₄²	—	6	2	no	—
1085	C₄²	—	6	2	no	—
1086	C₄²	—	12	1	no	—
1087	C₄²	—	12	1	no	—
1088	C₂²×C₃	—	4	1	no	—
1089	C₂²×C₃	—	4	1	no	—
1090	C₂²×C₃	—	4	1	no	—
1091	C₂²×C₃	—	4	1	no	—
1092	C₂²×C₃	—	4	1	no	—
1093	C₂²×C₃	—	4	1	no	—
1094	C₂²×C₃	—	4	1	no	—
1095	C₂²×C₃	C₂²×#41	1	1	yes	characteristic
1096	C₂²×C₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1097	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1098	C₂²×C₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1099	C₂²×C₃	#585	1	1	yes	characteristic
1100	C₂²×C₃	#585	1	1	yes	characteristic
1101	C₂²×C₃	#585	1	1	yes	characteristic
1102	C₂×D₃	—	2	2	no	—
1103	C₂×D₃	—	2	2	no	—
1104	C₂×D₃	—	2	2	no	—
1105	C₂×D₃	—	4	1	no	—
1106	C₂×D₃	—	4	1	no	—
1107	C₂×D₃	—	4	1	no	—
1108	C₂×D₃	—	4	1	no	—
1109	C₃×C₄	—	2	2	no	—
1110	C₃×C₄	—	4	1	no	—
1111	C₃×C₄	—	4	1	no	—
1112	C₃×C₄	—	4	1	no	—
1113	C₃×C₄	—	4	1	no	—
1114	C₃×C₄	—	4	1	no	—
1115	C₃×C₄	—	4	1	no	—
1116	C₃×C₄	—	4	1	no	—
1117	C₃×C₄	—	4	1	no	—
1118	C₃×C₄	—	4	1	no	—
1119	C₃×C₄	—	4	1	no	—
1120	C₃×C₄	—	4	1	no	—
1121	C₃×C₄	—	4	1	no	—
1122	C₃×C₄	#563	1	4	yes	—
1123	Dic₃	—	2	2	no	—
1124	Dic₃	—	4	1	no	—
1125	Dic₃	—	4	1	no	—
1126	Dic₃	—	4	1	no	—
1127	Dic₃	—	4	1	no	—
1128	Dic₃	—	4	1	no	—
1129	Dic₃	—	4	1	no	—
1130	Dic₃	—	4	1	no	—
1131	Dic₃	—	4	1	no	—
1132	Dic₃	—	4	1	no	—
1133	Dic₃	—	4	1	no	—
1134	Dic₃	—	4	1	no	—
1135	Dic₃	—	4	1	no	—
1136	Dic₃	—	4	1	no	—
1137	Dic₃	—	4	1	no	—
1138	C₂³	—	2	1	no	—
1139	C₂³	—	2	1	no	—
1140	C₂³	—	2	1	no	—
1141	C₂³	—	2	1	no	—
1142	C₂³	—	2	1	no	—
1143	C₂³	—	2	1	no	—
1144	C₂³	—	2	1	no	—
1145	C₂³	—	3	2	no	—
1146	C₂³	—	6	1	no	—
1147	C₂³	—	6	1	no	—
1148	C₂³	—	6	1	no	—
1149	C₂³	—	6	1	no	—
1150	C₂³	—	6	1	no	—
1151	C₂³	—	6	1	no	—
1152	C₂³	C₂⁴×D₃	1	1	yes	characteristic
1153	Q₈	—	12	4	no	—
1154	Q₈	—	12	4	no	—
1155	Q₈	—	12	4	no	—
1156	D₄	—	12	4	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	2	1	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	2	1	no	—
1178	C₂×C₄	—	2	1	no	—
1179	C₂×C₄	—	2	1	no	—
1180	C₂×C₄	—	2	1	no	—
1181	C₂×C₄	—	2	1	no	—
1182	C₂×C₄	—	2	1	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	—	3	2	no	—
1196	C₂×C₄	—	4	4	no	—
1197	C₂×C₄	—	6	1	no	—
1198	C₂×C₄	—	6	1	no	—
1199	C₂×C₄	—	6	1	no	—
1200	C₂×C₄	—	6	1	no	—
1201	C₂×C₄	—	6	1	no	—
1202	C₂×C₄	—	6	1	no	—
1203	C₂×C₄	—	6	1	no	—
1204	C₂×C₄	—	6	1	no	—
1205	C₂×C₄	—	6	1	no	—
1206	C₂×C₄	—	6	1	no	—
1207	C₂×C₄	—	6	1	no	—
1208	C₂×C₄	—	6	1	no	—
1209	C₂×C₄	—	6	1	no	—
1210	C₂×C₄	—	6	1	no	—
1211	C₂×C₄	—	6	1	no	—
1212	C₂×C₄	—	6	1	no	—
1213	C₂×C₄	—	6	1	no	—
1214	C₂×C₄	—	6	1	no	—
1215	C₂×C₄	—	6	1	no	—
1216	C₂×C₄	—	6	1	no	—
1217	C₂×C₄	—	6	1	no	—
1218	C₂×C₄	—	6	1	no	—
1219	C₂×C₄	—	6	1	no	—
1220	C₂×C₄	—	6	1	no	—
1221	C₂×C₄	—	6	1	no	—
1222	C₂×C₄	—	6	1	no	—
1223	C₂×C₄	—	6	1	no	—
1224	C₂×C₄	—	6	1	no	—
1225	C₂×C₄	—	6	1	no	—
1226	C₂×C₄	—	6	1	no	—
1227	C₂×C₄	—	6	1	no	—
1228	C₂×C₄	—	6	1	no	—
1229	C₂×C₄	—	6	1	no	—
1230	C₂×C₄	—	6	1	no	—
1231	C₂×C₄	—	6	1	no	—
1232	C₂×C₄	—	6	1	no	—
1233	C₂×C₄	—	6	1	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	—	12	4	no	—
1242	C₂×C₄	—	12	4	no	—
1243	C₂×C₄	—	12	4	no	—
1244	C₂×C₄	D₃×#41	1	2	yes	—
1245	C₂×C₄	#1009	1	2	yes	—
1246	C₂×C₄	#1010	1	2	yes	—
1247	C₂×C₄	#1010	1	2	yes	—
1248	C₂×C₃	—	8	1	no	—
1249	C₂×C₃	#3459	1	1	yes	characteristic
1250	C₂×C₃	#3461	1	1	yes	characteristic
1251	C₂×C₃	#3461	1	1	yes	characteristic
1252	C₂×C₃	C₂×#563	1	1	yes	characteristic
1253	C₂×C₃	#3529	1	1	yes	characteristic
1254	C₂×C₃	#3531	1	1	yes	characteristic
1255	C₂×C₃	#3531	1	1	yes	characteristic
1256	D₃	—	4	2	no	—
1257	C₂²	—	4	1	no	—
1258	C₂²	—	4	1	no	—
1259	C₂²	—	4	1	no	—
1260	C₂²	—	4	1	no	—
1261	C₂²	—	4	1	no	—
1262	C₂²	—	4	1	no	—
1263	C₂²	—	4	1	no	—
1264	C₂²	—	6	2	no	—
1265	C₂²	—	6	2	no	—
1266	C₂²	—	6	2	no	—
1267	C₂²	—	12	1	no	—
1268	C₂²	—	12	1	no	—
1269	C₂²	—	12	1	no	—
1270	C₂²	—	12	1	no	—
1271	C₂²	C₂×D₃×#41	1	1	yes	characteristic
1272	C₂²	C₂×#1009	1	1	yes	characteristic
1273	C₂²	C₂×#1010	1	1	yes	characteristic
1274	C₂²	C₂×#1010	1	1	yes	characteristic
1275	C₂²	#5964	1	1	yes	characteristic
1276	C₂²	#5964	1	1	yes	characteristic
1277	C₂²	#5964	1	1	yes	characteristic
1278	C₄	—	2	2	no	—
1279	C₄	—	4	1	no	—
1280	C₄	—	4	1	no	—
1281	C₄	—	4	1	no	—
1282	C₄	—	4	1	no	—
1283	C₄	—	4	1	no	—
1284	C₄	—	4	1	no	—
1285	C₄	—	4	1	no	—
1286	C₄	—	4	1	no	—
1287	C₄	—	4	1	no	—
1288	C₄	—	4	1	no	—
1289	C₄	—	4	1	no	—
1290	C₄	—	4	1	no	—
1291	C₄	—	6	2	no	—
1292	C₄	—	12	1	no	—
1293	C₄	—	12	1	no	—
1294	C₄	—	12	1	no	—
1295	C₄	—	12	1	no	—
1296	C₄	—	12	1	no	—
1297	C₄	—	12	1	no	—
1298	C₄	—	12	1	no	—
1299	C₄	—	12	1	no	—
1300	C₄	—	12	1	no	—
1301	C₄	—	12	1	no	—
1302	C₄	—	12	1	no	—
1303	C₄	—	12	1	no	—
1304	C₄	—	12	1	no	—
1305	C₄	—	12	1	no	—
1306	C₄	#5712	1	4	yes	—
1307	C₃	#36679	1	1	yes	characteristic, complemented, Sylow
1308	C₂	—	8	1	no	—
1309	C₂	—	12	2	no	—
1310	C₂	C₂×#5712	1	1	yes	characteristic
1311	C₂	#86132	1	1	yes	characteristic
1312	C₂	#86132	1	1	yes	characteristic
1313	C₂	#86147	1	1	yes	characteristic
1314	C₂	#86149	1	1	yes	characteristic
1315	C₂	#86149	1	1	yes	characteristic
1316	C₂	#86171	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₃
commutator, socle, cosocle	C₂³×C₃	C₂⁵
Frattini	C₂³	C₂⁴×D₃
Fitting	C₃×#2401	C₂
prime radical	C₂²×#67	C₂³
hypercenter	#2401	D₃
hypocenter	C₃	#36679
LCS	G ▷ C₂³×C₃ ▷ C₃
UCS	C₁ ◁ C₂²×C₄ ◁ #2401

Complements

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

N	H ≅ G/N	type
1. C₃×#2401	C₂	semidirect
2. #78438	C₂	semidirect
3. #78427	C₂	semidirect
4. #78408	C₂	semidirect
5. #78407	C₂	semidirect
6. #78333	C₂	semidirect
7. #78331	C₂	semidirect
8. #78323	C₂	semidirect
9. #78316	C₂	semidirect
13. #77666	C₂	semidirect
14. #77664	C₂	semidirect
15. #77656	C₂	semidirect
17. #77405	C₂	semidirect
18. #73779	C₂	semidirect
19. C₄×#896	C₂	semidirect
20. C₄×#897	C₂	semidirect
21. #73671	C₂	semidirect
22. #73670	C₂	semidirect
23. #73669	C₂	semidirect
26. #73482	C₂	semidirect
28. #73480	C₂	semidirect
29. #73480	C₂	semidirect
30. #73420	C₂	semidirect
31. #73397	C₂	semidirect
209. #2401	D₃	semidirect
1307. C₃	#36679	semidirect

Maximal subgroups

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

subgroup	index
C₃×#2401	2
#78438	2
#78427	2
#78408	2
#78407	2
#78333	2
#78331	2
#78323	2
#78316	2
#77735	2
#77734	2
#77728	2
#77666	2
#77664	2
#77656	2
#77449	2
#77405	2
#73779	2
C₄×#896	2
C₄×#897	2
#73671	2
#73670	2
#73669	2
#73583	2
C₄×#883	2
#73482	2
#73481	2
#73480	2
#73420	2
#73397	2
#36679	3