Subgroups — C₃×#61814 #10680421

Order 768.

1688 conjugacy classes of subgroups.

The subgroup lattice has 1682 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3547	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#3512	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#3352	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#3351	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#3348	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#3347	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#3346	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#3344	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#3337	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#3336	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#3327	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#3326	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#3320	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#3315	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#3312	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#3307	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#3301	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#3300	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#3236	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#3232	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#3204	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#3203	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#3201	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#3201	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#3111	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#3107	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#3099	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#3098	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×#3097	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃×#3097	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃×#2981	C₂	1	1	yes	maximal, characteristic, complemented
32	#61814	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
33	C₃×#562	—	2	1	no	—
34	C₃×#562	—	2	1	no	—
35	C₃×#555	—	2	1	no	—
36	C₃×#555	C₂²	1	1	yes	characteristic
37	C₃×#554	C₂²	1	1	yes	characteristic
38	C₃×#553	—	2	1	no	—
39	C₃×#553	—	2	1	no	—
40	C₃×#553	—	2	1	no	—
41	C₃×#553	—	2	1	no	—
42	C₃×#553	—	2	1	no	—
43	C₃×#553	C₂²	1	1	yes	characteristic
44	C₃×#553	C₂²	1	1	yes	characteristic
45	C₃×#553	C₂²	1	1	yes	characteristic
46	C₃×#553	C₂²	1	1	yes	characteristic
47	C₃×#552	C₂²	1	1	yes	characteristic
48	C₃×#552	C₂²	1	1	yes	characteristic
49	C₃×#552	C₂²	1	1	yes	characteristic
50	C₃×#552	C₂²	1	1	yes	characteristic
51	C₃×#552	C₂²	1	1	yes	characteristic
52	C₃×#552	C₂²	1	1	yes	characteristic
53	C₃×D₄×Q₈	C₂²	1	1	yes	characteristic
54	C₃×#548	C₂²	1	1	yes	characteristic
55	C₃×#548	C₂²	1	1	yes	characteristic
56	C₃×#547	C₂²	1	1	yes	characteristic
57	C₃×#544	—	2	1	no	—
58	C₃×#542	—	2	1	no	—
59	C₃×#542	—	2	1	no	—
60	C₃×#541	—	2	1	no	—
61	C₃×#540	—	2	1	no	—
62	C₃×#540	—	2	1	no	—
63	C₃×#537	C₂²	1	1	yes	characteristic
64	C₃×#537	C₂²	1	1	yes	characteristic
65	C₃×#537	C₂²	1	1	yes	characteristic
66	C₃×#537	C₂²	1	1	yes	characteristic
67	C₃×#536	C₂²	1	1	yes	characteristic
68	C₃×#536	C₂²	1	1	yes	characteristic
69	C₃×#533	C₂²	1	1	yes	characteristic
70	C₃×#532	C₂²	1	1	yes	characteristic
71	C₃×#529	—	2	1	no	—
72	C₃×#529	—	2	1	no	—
73	C₃×#529	C₂²	1	1	yes	characteristic
74	C₂×C₃×#125	C₂²	1	1	yes	characteristic
75	C₃×#520	C₂²	1	1	yes	characteristic
76	C₃×#520	C₂²	1	1	yes	characteristic
77	C₃×C₄×#41	C₂²	1	1	yes	characteristic
78	C₃×#501	C₂²	1	1	yes	characteristic
79	C₃×#501	C₂²	1	1	yes	characteristic
80	C₃×#499	C₂²	1	1	yes	characteristic
81	C₃×#499	C₂²	1	1	yes	characteristic
82	C₃×#491	C₂²	1	1	yes	characteristic
83	C₃×#491	C₂²	1	1	yes	characteristic
84	C₃×#488	C₂²	1	1	yes	characteristic
85	C₃×#488	C₂²	1	1	yes	characteristic
86	C₃×#485	C₂²	1	1	yes	characteristic
87	C₃×#485	C₂²	1	1	yes	characteristic
88	C₃×#485	C₂²	1	1	yes	characteristic
89	C₃×#485	C₂²	1	1	yes	characteristic
90	C₃×#485	C₂²	1	1	yes	characteristic
91	C₃×#485	C₂²	1	1	yes	characteristic
92	C₃×#485	C₂²	1	1	yes	characteristic
93	C₃×#485	C₂²	1	1	yes	characteristic
94	C₃×#485	C₂²	1	1	yes	characteristic
95	C₃×#485	C₂²	1	1	yes	characteristic
96	C₃×#485	C₂²	1	1	yes	characteristic
97	C₃×#484	C₂²	1	1	yes	characteristic
98	C₃×#484	C₂²	1	1	yes	characteristic
99	C₃×#484	C₂²	1	1	yes	characteristic
100	C₃×#484	C₂²	1	1	yes	characteristic
101	C₃×#484	C₂²	1	1	yes	characteristic
102	C₃×#484	C₂²	1	1	yes	characteristic
103	C₃×#484	C₂²	1	1	yes	characteristic
104	C₃×#483	C₂²	1	1	yes	characteristic
105	C₃×#483	C₂²	1	1	yes	characteristic
106	C₃×#483	C₂²	1	1	yes	characteristic
107	C₃×#483	C₂²	1	1	yes	characteristic
108	C₃×#483	C₂²	1	1	yes	characteristic
109	C₃×#483	C₂²	1	1	yes	characteristic
110	C₃×#483	C₂²	1	1	yes	characteristic
111	C₃×#482	C₂²	1	1	yes	characteristic
112	C₃×#482	C₂²	1	1	yes	characteristic
113	C₃×#482	C₂²	1	1	yes	characteristic
114	C₃×#482	C₂²	1	1	yes	characteristic
115	C₃×#482	C₂²	1	1	yes	characteristic
116	C₃×#481	C₂²	1	1	yes	characteristic
117	C₃×#481	C₂²	1	1	yes	characteristic
118	C₃×#481	C₂²	1	1	yes	characteristic
119	C₃×#480	C₂²	1	1	yes	characteristic
120	C₃×#480	C₂²	1	1	yes	characteristic
121	C₃×#480	C₂²	1	1	yes	characteristic
122	C₃×#479	C₂²	1	1	yes	characteristic
123	C₃×#479	C₂²	1	1	yes	characteristic
124	C₃×#479	C₂²	1	1	yes	characteristic
125	C₃×#479	C₂²	1	1	yes	characteristic
126	C₃×#479	C₂²	1	1	yes	characteristic
127	C₃×#479	C₂²	1	1	yes	characteristic
128	C₃×#479	C₂²	1	1	yes	characteristic
129	C₃×#478	C₂²	1	1	yes	characteristic
130	C₃×#478	C₂²	1	1	yes	characteristic
131	C₃×#478	C₂²	1	1	yes	characteristic
132	C₃×#475	C₂²	1	1	yes	characteristic
133	C₃×#474	C₂²	1	1	yes	characteristic
134	C₃×#470	C₂²	1	1	yes	characteristic
135	C₃×#470	C₂²	1	1	yes	characteristic
136	C₃×#470	C₂²	1	1	yes	characteristic
137	C₃×#469	C₂²	1	1	yes	characteristic
138	C₃×#468	C₂²	1	1	yes	characteristic
139	C₃×#468	C₂²	1	1	yes	characteristic
140	C₃×#468	C₂²	1	1	yes	characteristic
141	C₃×#468	C₂²	1	1	yes	characteristic
142	C₃×#467	C₂²	1	1	yes	characteristic
143	C₃×#467	C₂²	1	1	yes	characteristic
144	C₃×#467	C₂²	1	1	yes	characteristic
145	C₃×#466	C₂²	1	1	yes	characteristic
146	C₃×#465	C₂²	1	1	yes	characteristic
147	C₃×#465	C₂²	1	1	yes	characteristic
148	C₃×#465	C₂²	1	1	yes	characteristic
149	C₃×#465	C₂²	1	1	yes	characteristic
150	C₃×#464	C₂²	1	1	yes	characteristic
151	C₃×#463	C₂²	1	1	yes	characteristic
152	C₃×#462	C₂²	1	1	yes	characteristic
153	C₃×#461	C₂²	1	1	yes	characteristic
154	C₃×#452	C₂²	1	1	yes	characteristic
155	C₃×#452	C₂²	1	1	yes	characteristic
156	C₃×#452	C₂²	1	1	yes	characteristic
157	C₃×#452	C₂²	1	1	yes	characteristic
158	C₃×#452	C₂²	1	1	yes	characteristic
159	C₃×#451	C₂²	1	1	yes	characteristic
160	C₃×#451	C₂²	1	1	yes	characteristic
161	C₃×#449	C₂²	1	1	yes	characteristic
162	C₃×#449	C₂²	1	1	yes	characteristic
163	C₃×#449	C₂²	1	1	yes	characteristic
164	C₃×#448	C₂²	1	1	yes	characteristic
165	C₃×#448	C₂²	1	1	yes	characteristic
166	C₃×#442	C₂²	1	1	yes	characteristic
167	C₃×#441	C₂²	1	1	yes	characteristic
168	C₃×#440	C₂²	1	1	yes	characteristic
169	C₃×#440	C₂²	1	1	yes	characteristic
170	C₃×C₄×Q₁₆	C₂²	1	1	yes	characteristic
171	C₃×C₄×Q₁₆	C₂²	1	1	yes	characteristic
172	C₃×C₄×SD₁₆	C₂²	1	1	yes	characteristic
173	C₃×C₄×SD₁₆	C₂²	1	1	yes	characteristic
174	C₃×#436	C₂²	1	1	yes	characteristic
175	C₃×#436	C₂²	1	1	yes	characteristic
176	C₃×#435	C₂²	1	1	yes	characteristic
177	C₃×#435	C₂²	1	1	yes	characteristic
178	C₃×#435	C₂²	1	1	yes	characteristic
179	C₃×#435	C₂²	1	1	yes	characteristic
180	C₃×C₈×D₄	C₂²	1	1	yes	characteristic
181	C₃×C₈×D₄	C₂²	1	1	yes	characteristic
182	C₃×#432	C₂²	1	1	yes	characteristic
183	C₃×#431	C₂²	1	1	yes	characteristic
184	C₃×#428	C₂²	1	1	yes	characteristic
185	C₃×#428	C₂²	1	1	yes	characteristic
186	C₃×#428	C₂²	1	1	yes	characteristic
187	C₃×#428	C₂²	1	1	yes	characteristic
188	C₃×#427	C₂²	1	1	yes	characteristic
189	C₃×#427	C₂²	1	1	yes	characteristic
190	C₂×C₃×#107	C₂²	1	1	yes	characteristic
191	C₂×C₃×#106	C₂²	1	1	yes	characteristic
192	C₃×#419	C₂²	1	1	yes	characteristic
193	C₃×#419	C₂²	1	1	yes	characteristic
194	C₃×#417	C₂²	1	1	yes	characteristic
195	C₃×#417	C₂²	1	1	yes	characteristic
196	C₃×#416	C₂²	1	1	yes	characteristic
197	C₃×#416	C₂²	1	1	yes	characteristic
198	C₂×C₃×#103	C₂²	1	1	yes	characteristic
199	C₂×C₃×#103	C₂²	1	1	yes	characteristic
200	C₃×#408	C₂²	1	1	yes	characteristic
201	C₃×#408	C₂²	1	1	yes	characteristic
202	C₃×#408	C₂²	1	1	yes	characteristic
203	C₃×#408	C₂²	1	1	yes	characteristic
204	#3547	C₂×C₃	1	1	yes	characteristic, complemented
205	#3512	C₂×C₃	1	1	yes	characteristic, complemented
206	#3352	C₂×C₃	1	1	yes	characteristic, complemented
207	#3351	C₂×C₃	1	1	yes	characteristic, complemented
208	#3348	C₂×C₃	1	1	yes	characteristic, complemented
209	#3347	C₂×C₃	1	1	yes	characteristic, complemented
210	#3346	C₂×C₃	1	1	yes	characteristic, complemented
211	#3344	C₂×C₃	1	1	yes	characteristic, complemented
212	#3337	C₂×C₃	1	1	yes	characteristic, complemented
213	#3336	C₂×C₃	1	1	yes	characteristic, complemented
214	#3327	C₂×C₃	1	1	yes	characteristic, complemented
215	#3326	C₂×C₃	1	1	yes	characteristic, complemented
216	#3320	C₂×C₃	1	1	yes	characteristic, complemented
217	#3315	C₂×C₃	1	1	yes	characteristic, complemented
218	#3312	C₂×C₃	1	1	yes	characteristic, complemented
219	#3307	C₂×C₃	1	1	yes	characteristic, complemented
220	#3301	C₂×C₃	1	1	yes	characteristic, complemented
221	#3300	C₂×C₃	1	1	yes	characteristic, complemented
222	#3236	C₂×C₃	1	1	yes	characteristic, complemented
223	#3232	C₂×C₃	1	1	yes	characteristic, complemented
224	#3204	C₂×C₃	1	1	yes	characteristic, complemented
225	#3203	C₂×C₃	1	1	yes	characteristic, complemented
226	#3201	C₂×C₃	1	1	yes	characteristic, complemented
227	#3201	C₂×C₃	1	1	yes	characteristic, complemented
228	#3111	C₂×C₃	1	1	yes	characteristic, complemented
229	#3107	C₂×C₃	1	1	yes	characteristic, complemented
230	#3099	C₂×C₃	1	1	yes	characteristic, complemented
231	#3098	C₂×C₃	1	1	yes	characteristic, complemented
232	#3097	C₂×C₃	1	1	yes	characteristic, complemented
233	#3097	C₂×C₃	1	1	yes	characteristic, complemented
234	#2981	C₂×C₃	1	1	yes	characteristic, complemented
235	C₂×C₃×#41	C₂³	1	1	yes	characteristic
236	C₂×C₃×#41	C₂³	1	1	yes	characteristic
237	C₂×C₃×#41	C₂³	1	1	yes	characteristic
238	C₂×C₃×#41	C₂³	1	1	yes	characteristic
239	C₂×C₃×#41	C₂³	1	1	yes	characteristic
240	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
241	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
242	C₂×C₃×Q₁₆	C₂³	1	1	yes	characteristic
243	C₂×C₃×Q₁₆	C₂³	1	1	yes	characteristic
244	C₂×C₃×Q₁₆	C₂³	1	1	yes	characteristic
245	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
246	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
247	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
248	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
249	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
250	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
251	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
252	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
253	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
254	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
255	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
256	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
257	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
258	C₃×C₄⋊Q₈	—	2	1	no	—
259	C₃×C₄⋊Q₈	—	2	1	no	—
260	C₃×C₄⋊Q₈	—	2	1	no	—
261	C₃×C₄⋊Q₈	D₄	1	1	yes	characteristic
262	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
263	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
264	C₃×#127	D₄	1	1	yes	characteristic
265	C₃×#126	—	2	1	no	—
266	C₃×#126	—	2	1	no	—
267	C₃×#126	—	2	1	no	—
268	C₃×#126	—	2	1	no	—
269	C₃×#126	—	2	1	no	—
270	C₃×#126	—	2	1	no	—
271	C₃×#126	—	2	1	no	—
272	C₃×#126	—	2	1	no	—
273	C₃×#126	—	2	1	no	—
274	C₃×#126	—	2	1	no	—
275	C₃×#126	—	2	1	no	—
276	C₃×#125	—	2	1	no	—
277	C₃×#125	—	2	1	no	—
278	C₃×#125	—	2	1	no	—
279	C₃×#125	—	2	1	no	—
280	C₃×#125	—	2	1	no	—
281	C₃×#125	—	2	1	no	—
282	C₃×#125	—	2	1	no	—
283	C₃×#125	—	2	1	no	—
284	C₃×#125	—	2	1	no	—
285	C₃×#125	—	2	1	no	—
286	C₃×#125	C₂³	1	1	yes	characteristic
287	C₃×#125	C₂³	1	1	yes	characteristic
288	C₃×#125	C₂³	1	1	yes	characteristic
289	C₃×#125	C₂³	1	1	yes	characteristic
290	C₃×#125	C₂³	1	1	yes	characteristic
291	C₃×#124	—	2	1	no	—
292	C₃×#124	—	2	1	no	—
293	C₃×#124	—	2	1	no	—
294	C₃×#124	—	2	1	no	—
295	C₃×#124	—	2	1	no	—
296	C₃×#124	—	2	1	no	—
297	C₃×#124	D₄	1	1	yes	characteristic
298	C₃×#124	D₄	1	1	yes	characteristic
299	C₃×#124	C₂³	1	1	yes	characteristic
300	C₃×#123	—	2	1	no	—
301	C₃×#123	—	2	1	no	—
302	C₃×#123	—	2	1	no	—
303	C₃×#123	—	2	1	no	—
304	C₃×#123	—	2	1	no	—
305	C₃×#123	—	2	1	no	—
306	C₃×#123	—	2	1	no	—
307	C₃×#123	—	2	1	no	—
308	C₃×#123	—	2	1	no	—
309	C₃×#123	—	2	1	no	—
310	C₃×#123	—	2	1	no	—
311	C₃×#123	—	2	1	no	—
312	C₃×#123	—	2	1	no	—
313	C₃×#123	—	2	1	no	—
314	C₃×#123	—	2	1	no	—
315	C₃×#123	—	2	1	no	—
316	C₃×#123	—	2	1	no	—
317	C₃×C₂²⋊Q₈	—	2	1	no	—
318	C₃×C₂²⋊Q₈	—	2	1	no	—
319	C₃×C₂²⋊Q₈	—	2	1	no	—
320	C₃×C₂²⋊Q₈	—	2	1	no	—
321	C₃×C₂²⋊Q₈	—	2	1	no	—
322	C₃×C₂²⋊Q₈	—	2	1	no	—
323	C₃×C₂²⋊Q₈	—	2	1	no	—
324	C₃×C₂²⋊Q₈	—	2	1	no	—
325	C₃×C₂²⋊Q₈	—	2	1	no	—
326	C₃×C₂²⋊Q₈	—	2	1	no	—
327	C₃×C₂²⋊Q₈	—	2	1	no	—
328	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
329	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
330	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
331	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
332	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
333	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
334	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
335	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
336	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
337	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
338	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
339	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
340	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
341	C₃×#121	—	2	1	no	—
342	C₃×#121	—	2	1	no	—
343	C₃×#121	—	2	1	no	—
344	C₃×#121	—	2	1	no	—
345	C₃×#121	—	2	1	no	—
346	C₃×#121	—	2	1	no	—
347	C₃×#121	—	2	1	no	—
348	C₃×#121	—	2	1	no	—
349	C₃×#121	—	2	1	no	—
350	C₃×#121	—	2	1	no	—
351	C₃×#121	—	2	1	no	—
352	C₃×#121	—	2	1	no	—
353	C₃×#121	—	2	1	no	—
354	C₃×#121	—	2	1	no	—
355	C₃×#121	—	2	1	no	—
356	C₃×#121	—	2	1	no	—
357	C₃×#121	—	2	1	no	—
358	C₃×#121	—	2	1	no	—
359	C₃×#121	—	2	1	no	—
360	C₃×#121	—	2	1	no	—
361	C₃×#121	D₄	1	1	yes	characteristic
362	C₃×#121	D₄	1	1	yes	characteristic
363	C₃×#121	D₄	1	1	yes	characteristic
364	C₃×#121	D₄	1	1	yes	characteristic
365	C₃×#121	C₂³	1	1	yes	characteristic
366	C₃×#121	C₂³	1	1	yes	characteristic
367	C₃×#121	C₂³	1	1	yes	characteristic
368	C₃×#121	C₂³	1	1	yes	characteristic
369	C₃×#121	C₂³	1	1	yes	characteristic
370	C₃×#121	C₂³	1	1	yes	characteristic
371	C₃×#121	C₂³	1	1	yes	characteristic
372	C₃×C₄×Q₈	—	2	1	no	—
373	C₃×C₄×Q₈	—	2	1	no	—
374	C₃×C₄×Q₈	—	2	1	no	—
375	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
376	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
377	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
378	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
379	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
380	C₃×C₄×D₄	—	2	1	no	—
381	C₃×C₄×D₄	—	2	1	no	—
382	C₃×C₄×D₄	—	2	1	no	—
383	C₃×C₄×D₄	—	2	1	no	—
384	C₃×C₄×D₄	—	2	1	no	—
385	C₃×C₄×D₄	—	2	1	no	—
386	C₃×C₄×D₄	—	2	1	no	—
387	C₃×C₄×D₄	—	2	1	no	—
388	C₃×C₄×D₄	—	2	1	no	—
389	C₃×C₄×D₄	—	2	1	no	—
390	C₃×C₄×D₄	—	2	1	no	—
391	C₃×C₄×D₄	—	2	1	no	—
392	C₃×C₄×D₄	—	2	1	no	—
393	C₃×C₄×D₄	—	2	1	no	—
394	C₃×C₄×D₄	—	2	1	no	—
395	C₃×C₄×D₄	—	2	1	no	—
396	C₃×C₄×D₄	—	2	1	no	—
397	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
398	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
399	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
400	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
401	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
402	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
403	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
404	C₃×#117	—	2	1	no	—
405	C₃×#117	—	2	1	no	—
406	C₃×#117	—	2	1	no	—
407	C₃×#117	—	2	1	no	—
408	C₃×#117	—	2	1	no	—
409	C₃×#117	—	2	1	no	—
410	C₃×#117	—	2	1	no	—
411	C₃×#117	—	2	1	no	—
412	C₃×#117	—	2	1	no	—
413	C₃×#117	—	2	1	no	—
414	C₃×#117	C₂³	1	1	yes	characteristic
415	C₃×#117	C₂³	1	1	yes	characteristic
416	C₃×#117	C₂³	1	1	yes	characteristic
417	C₃×#117	C₂³	1	1	yes	characteristic
418	C₃×#117	C₂³	1	1	yes	characteristic
419	C₃×#117	C₂³	1	1	yes	characteristic
420	C₃×#117	C₂³	1	1	yes	characteristic
421	C₂×C₃×C₄⋊C₄	—	2	1	no	—
422	C₂×C₃×C₄⋊C₄	—	2	1	no	—
423	C₂×C₃×C₄⋊C₄	—	2	1	no	—
424	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
425	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
426	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
427	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
428	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
429	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
430	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
431	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
432	C₂×C₃×C₄²	—	2	1	no	—
433	C₂×C₃×C₄²	C₂³	1	1	yes	characteristic
434	C₃×#107	C₂³	1	1	yes	characteristic
435	C₃×#107	C₂³	1	1	yes	characteristic
436	C₃×#107	C₂³	1	1	yes	characteristic
437	C₃×#107	C₂³	1	1	yes	characteristic
438	C₃×#107	C₂³	1	1	yes	characteristic
439	C₃×#107	C₂³	1	1	yes	characteristic
440	C₃×#107	C₂³	1	1	yes	characteristic
441	C₃×#107	C₂³	1	1	yes	characteristic
442	C₃×#107	C₂³	1	1	yes	characteristic
443	C₃×#107	C₂³	1	1	yes	characteristic
444	C₃×#107	C₂³	1	1	yes	characteristic
445	C₃×#107	C₂³	1	1	yes	characteristic
446	C₃×#106	C₂³	1	1	yes	characteristic
447	C₃×#106	C₂³	1	1	yes	characteristic
448	C₃×#106	C₂³	1	1	yes	characteristic
449	C₃×#106	C₂³	1	1	yes	characteristic
450	C₃×#106	C₂³	1	1	yes	characteristic
451	C₃×#106	C₂³	1	1	yes	characteristic
452	C₃×#106	C₂³	1	1	yes	characteristic
453	C₃×#106	C₂³	1	1	yes	characteristic
454	C₃×#106	C₂³	1	1	yes	characteristic
455	C₃×#106	C₂³	1	1	yes	characteristic
456	C₃×#106	C₂³	1	1	yes	characteristic
457	C₃×#106	C₂³	1	1	yes	characteristic
458	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
459	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
460	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
461	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
462	C₃×#103	C₂³	1	1	yes	characteristic
463	C₃×#103	C₂³	1	1	yes	characteristic
464	C₃×#103	C₂³	1	1	yes	characteristic
465	C₃×#103	C₂³	1	1	yes	characteristic
466	C₃×#103	C₂³	1	1	yes	characteristic
467	C₃×#103	C₂³	1	1	yes	characteristic
468	C₃×#103	C₂³	1	1	yes	characteristic
469	C₃×#103	C₂³	1	1	yes	characteristic
470	C₃×#103	C₂³	1	1	yes	characteristic
471	C₃×#103	C₂³	1	1	yes	characteristic
472	C₃×#103	C₂³	1	1	yes	characteristic
473	C₃×#103	C₂³	1	1	yes	characteristic
474	C₃×#103	C₂³	1	1	yes	characteristic
475	C₃×#103	C₂³	1	1	yes	characteristic
476	C₃×#103	C₂³	1	1	yes	characteristic
477	C₃×#103	C₂³	1	1	yes	characteristic
478	C₃×#103	C₂³	1	1	yes	characteristic
479	C₃×#103	C₂³	1	1	yes	characteristic
480	C₃×#103	C₂³	1	1	yes	characteristic
481	C₃×#103	C₂³	1	1	yes	characteristic
482	C₃×#103	C₂³	1	1	yes	characteristic
483	C₃×#103	C₂³	1	1	yes	characteristic
484	C₃×#102	C₂³	1	1	yes	characteristic
485	C₃×#102	C₂³	1	1	yes	characteristic
486	C₃×#102	C₂³	1	1	yes	characteristic
487	C₃×#102	C₂³	1	1	yes	characteristic
488	C₃×#102	C₂³	1	1	yes	characteristic
489	C₃×#102	C₂³	1	1	yes	characteristic
490	C₃×#102	C₂³	1	1	yes	characteristic
491	C₃×#102	C₂³	1	1	yes	characteristic
492	C₃×#102	C₂³	1	1	yes	characteristic
493	C₃×#102	C₂³	1	1	yes	characteristic
494	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
495	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
496	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
497	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
498	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
499	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
500	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
501	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
502	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
503	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
504	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
505	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
506	C₃×#97	C₂³	1	1	yes	characteristic
507	C₃×#97	C₂³	1	1	yes	characteristic
508	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
509	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
510	#562	—	2	1	no	—
511	#562	—	2	1	no	—
512	#555	—	2	1	no	—
513	#555	C₂²×C₃	1	1	yes	characteristic
514	#554	C₂²×C₃	1	1	yes	characteristic
515	#553	—	2	1	no	—
516	#553	—	2	1	no	—
517	#553	—	2	1	no	—
518	#553	—	2	1	no	—
519	#553	—	2	1	no	—
520	#553	C₂²×C₃	1	1	yes	characteristic
521	#553	C₂²×C₃	1	1	yes	characteristic
522	#553	C₂²×C₃	1	1	yes	characteristic
523	#553	C₂²×C₃	1	1	yes	characteristic
524	#552	C₂²×C₃	1	1	yes	characteristic
525	#552	C₂²×C₃	1	1	yes	characteristic
526	#552	C₂²×C₃	1	1	yes	characteristic
527	#552	C₂²×C₃	1	1	yes	characteristic
528	#552	C₂²×C₃	1	1	yes	characteristic
529	#552	C₂²×C₃	1	1	yes	characteristic
530	D₄×Q₈	C₂²×C₃	1	1	yes	characteristic
531	#548	C₂²×C₃	1	1	yes	characteristic
532	#548	C₂²×C₃	1	1	yes	characteristic
533	#547	C₂²×C₃	1	1	yes	characteristic
534	#544	—	2	1	no	—
535	#542	—	2	1	no	—
536	#542	—	2	1	no	—
537	#541	—	2	1	no	—
538	#540	—	2	1	no	—
539	#540	—	2	1	no	—
540	#537	C₂²×C₃	1	1	yes	characteristic
541	#537	C₂²×C₃	1	1	yes	characteristic
542	#537	C₂²×C₃	1	1	yes	characteristic
543	#537	C₂²×C₃	1	1	yes	characteristic
544	#536	C₂²×C₃	1	1	yes	characteristic
545	#536	C₂²×C₃	1	1	yes	characteristic
546	#533	C₂²×C₃	1	1	yes	characteristic
547	#532	C₂²×C₃	1	1	yes	characteristic
548	#529	—	2	1	no	—
549	#529	—	2	1	no	—
550	#529	C₂²×C₃	1	1	yes	characteristic
551	C₂×#125	C₂²×C₃	1	1	yes	characteristic
552	#520	C₂²×C₃	1	1	yes	characteristic
553	#520	C₂²×C₃	1	1	yes	characteristic
554	C₄×#41	C₂²×C₃	1	1	yes	characteristic
555	#501	C₂²×C₃	1	1	yes	characteristic
556	#501	C₂²×C₃	1	1	yes	characteristic
557	#499	C₂²×C₃	1	1	yes	characteristic
558	#499	C₂²×C₃	1	1	yes	characteristic
559	#491	C₂²×C₃	1	1	yes	characteristic
560	#491	C₂²×C₃	1	1	yes	characteristic
561	#488	C₂²×C₃	1	1	yes	characteristic
562	#488	C₂²×C₃	1	1	yes	characteristic
563	#485	C₂²×C₃	1	1	yes	characteristic
564	#485	C₂²×C₃	1	1	yes	characteristic
565	#485	C₂²×C₃	1	1	yes	characteristic
566	#485	C₂²×C₃	1	1	yes	characteristic
567	#485	C₂²×C₃	1	1	yes	characteristic
568	#485	C₂²×C₃	1	1	yes	characteristic
569	#485	C₂²×C₃	1	1	yes	characteristic
570	#485	C₂²×C₃	1	1	yes	characteristic
571	#485	C₂²×C₃	1	1	yes	characteristic
572	#485	C₂²×C₃	1	1	yes	characteristic
573	#485	C₂²×C₃	1	1	yes	characteristic
574	#484	C₂²×C₃	1	1	yes	characteristic
575	#484	C₂²×C₃	1	1	yes	characteristic
576	#484	C₂²×C₃	1	1	yes	characteristic
577	#484	C₂²×C₃	1	1	yes	characteristic
578	#484	C₂²×C₃	1	1	yes	characteristic
579	#484	C₂²×C₃	1	1	yes	characteristic
580	#484	C₂²×C₃	1	1	yes	characteristic
581	#483	C₂²×C₃	1	1	yes	characteristic
582	#483	C₂²×C₃	1	1	yes	characteristic
583	#483	C₂²×C₃	1	1	yes	characteristic
584	#483	C₂²×C₃	1	1	yes	characteristic
585	#483	C₂²×C₃	1	1	yes	characteristic
586	#483	C₂²×C₃	1	1	yes	characteristic
587	#483	C₂²×C₃	1	1	yes	characteristic
588	#482	C₂²×C₃	1	1	yes	characteristic
589	#482	C₂²×C₃	1	1	yes	characteristic
590	#482	C₂²×C₃	1	1	yes	characteristic
591	#482	C₂²×C₃	1	1	yes	characteristic
592	#482	C₂²×C₃	1	1	yes	characteristic
593	#481	C₂²×C₃	1	1	yes	characteristic
594	#481	C₂²×C₃	1	1	yes	characteristic
595	#481	C₂²×C₃	1	1	yes	characteristic
596	#480	C₂²×C₃	1	1	yes	characteristic
597	#480	C₂²×C₃	1	1	yes	characteristic
598	#480	C₂²×C₃	1	1	yes	characteristic
599	#479	C₂²×C₃	1	1	yes	characteristic
600	#479	C₂²×C₃	1	1	yes	characteristic
601	#479	C₂²×C₃	1	1	yes	characteristic
602	#479	C₂²×C₃	1	1	yes	characteristic
603	#479	C₂²×C₃	1	1	yes	characteristic
604	#479	C₂²×C₃	1	1	yes	characteristic
605	#479	C₂²×C₃	1	1	yes	characteristic
606	#478	C₂²×C₃	1	1	yes	characteristic
607	#478	C₂²×C₃	1	1	yes	characteristic
608	#478	C₂²×C₃	1	1	yes	characteristic
609	#475	C₂²×C₃	1	1	yes	characteristic
610	#474	C₂²×C₃	1	1	yes	characteristic
611	#470	C₂²×C₃	1	1	yes	characteristic
612	#470	C₂²×C₃	1	1	yes	characteristic
613	#470	C₂²×C₃	1	1	yes	characteristic
614	#469	C₂²×C₃	1	1	yes	characteristic
615	#468	C₂²×C₃	1	1	yes	characteristic
616	#468	C₂²×C₃	1	1	yes	characteristic
617	#468	C₂²×C₃	1	1	yes	characteristic
618	#468	C₂²×C₃	1	1	yes	characteristic
619	#467	C₂²×C₃	1	1	yes	characteristic
620	#467	C₂²×C₃	1	1	yes	characteristic
621	#467	C₂²×C₃	1	1	yes	characteristic
622	#466	C₂²×C₃	1	1	yes	characteristic
623	#465	C₂²×C₃	1	1	yes	characteristic
624	#465	C₂²×C₃	1	1	yes	characteristic
625	#465	C₂²×C₃	1	1	yes	characteristic
626	#465	C₂²×C₃	1	1	yes	characteristic
627	#464	C₂²×C₃	1	1	yes	characteristic
628	#463	C₂²×C₃	1	1	yes	characteristic
629	#462	C₂²×C₃	1	1	yes	characteristic
630	#461	C₂²×C₃	1	1	yes	characteristic
631	#452	C₂²×C₃	1	1	yes	characteristic
632	#452	C₂²×C₃	1	1	yes	characteristic
633	#452	C₂²×C₃	1	1	yes	characteristic
634	#452	C₂²×C₃	1	1	yes	characteristic
635	#452	C₂²×C₃	1	1	yes	characteristic
636	#451	C₂²×C₃	1	1	yes	characteristic
637	#451	C₂²×C₃	1	1	yes	characteristic
638	#449	C₂²×C₃	1	1	yes	characteristic
639	#449	C₂²×C₃	1	1	yes	characteristic
640	#449	C₂²×C₃	1	1	yes	characteristic
641	#448	C₂²×C₃	1	1	yes	characteristic
642	#448	C₂²×C₃	1	1	yes	characteristic
643	#442	C₂²×C₃	1	1	yes	characteristic
644	#441	C₂²×C₃	1	1	yes	characteristic
645	#440	C₂²×C₃	1	1	yes	characteristic
646	#440	C₂²×C₃	1	1	yes	characteristic
647	C₄×Q₁₆	C₂²×C₃	1	1	yes	characteristic
648	C₄×Q₁₆	C₂²×C₃	1	1	yes	characteristic
649	C₄×SD₁₆	C₂²×C₃	1	1	yes	characteristic
650	C₄×SD₁₆	C₂²×C₃	1	1	yes	characteristic
651	#436	C₂²×C₃	1	1	yes	characteristic
652	#436	C₂²×C₃	1	1	yes	characteristic
653	#435	C₂²×C₃	1	1	yes	characteristic
654	#435	C₂²×C₃	1	1	yes	characteristic
655	#435	C₂²×C₃	1	1	yes	characteristic
656	#435	C₂²×C₃	1	1	yes	characteristic
657	C₈×D₄	C₂²×C₃	1	1	yes	characteristic
658	C₈×D₄	C₂²×C₃	1	1	yes	characteristic
659	#432	C₂²×C₃	1	1	yes	characteristic
660	#431	C₂²×C₃	1	1	yes	characteristic
661	#428	C₂²×C₃	1	1	yes	characteristic
662	#428	C₂²×C₃	1	1	yes	characteristic
663	#428	C₂²×C₃	1	1	yes	characteristic
664	#428	C₂²×C₃	1	1	yes	characteristic
665	#427	C₂²×C₃	1	1	yes	characteristic
666	#427	C₂²×C₃	1	1	yes	characteristic
667	C₂×#107	C₂²×C₃	1	1	yes	characteristic
668	C₂×#106	C₂²×C₃	1	1	yes	characteristic
669	#419	C₂²×C₃	1	1	yes	characteristic
670	#419	C₂²×C₃	1	1	yes	characteristic
671	#417	C₂²×C₃	1	1	yes	characteristic
672	#417	C₂²×C₃	1	1	yes	characteristic
673	#416	C₂²×C₃	1	1	yes	characteristic
674	#416	C₂²×C₃	1	1	yes	characteristic
675	C₂×#103	C₂²×C₃	1	1	yes	characteristic
676	C₂×#103	C₂²×C₃	1	1	yes	characteristic
677	#408	C₂²×C₃	1	1	yes	characteristic
678	#408	C₂²×C₃	1	1	yes	characteristic
679	#408	C₂²×C₃	1	1	yes	characteristic
680	#408	C₂²×C₃	1	1	yes	characteristic
681	C₃×#41	—	4	1	no	—
682	C₃×#41	—	4	1	no	—
683	C₃×#41	—	4	1	no	—
684	C₃×#41	—	4	1	no	—
685	C₃×#41	—	4	1	no	—
686	C₃×#41	—	4	1	no	—
687	C₃×#41	—	4	1	no	—
688	C₃×#41	—	4	1	no	—
689	C₃×#41	—	4	1	no	—
690	C₃×#41	—	4	1	no	—
691	C₂×C₃×Q₈	—	2	1	no	—
692	C₂×C₃×Q₈	—	2	1	no	—
693	C₂×C₃×Q₈	—	2	1	no	—
694	C₂×C₃×Q₈	—	4	1	no	—
695	C₂×C₃×Q₈	—	4	1	no	—
696	C₂×C₃×Q₈	—	4	1	no	—
697	C₂×C₃×Q₈	—	4	1	no	—
698	C₂×C₃×Q₈	C₂×D₄	1	1	yes	characteristic
699	C₂×C₃×Q₈	C₂×D₄	1	1	yes	characteristic
700	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
701	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
702	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
703	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
704	C₂×C₃×D₄	—	2	1	no	—
705	C₂×C₃×D₄	—	2	1	no	—
706	C₂×C₃×D₄	—	2	1	no	—
707	C₂×C₃×D₄	—	2	1	no	—
708	C₂×C₃×D₄	—	2	1	no	—
709	C₂×C₃×D₄	—	2	1	no	—
710	C₂×C₃×D₄	—	2	1	no	—
711	C₂×C₃×D₄	—	2	1	no	—
712	C₂×C₃×D₄	—	2	1	no	—
713	C₂×C₃×D₄	—	2	1	no	—
714	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
715	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
716	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
717	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
718	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
719	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
720	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
721	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
722	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
723	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
724	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
725	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
726	C₂²×C₃×C₄	—	2	1	no	—
727	C₂²×C₃×C₄	—	2	1	no	—
728	C₂²×C₃×C₄	—	2	1	no	—
729	C₂²×C₃×C₄	—	2	1	no	—
730	C₂²×C₃×C₄	—	2	1	no	—
731	C₂²×C₃×C₄	—	2	1	no	—
732	C₂²×C₃×C₄	—	2	1	no	—
733	C₂²×C₃×C₄	—	2	1	no	—
734	C₂²×C₃×C₄	—	2	1	no	—
735	C₂²×C₃×C₄	—	2	1	no	—
736	C₂²×C₃×C₄	—	2	1	no	—
737	C₂²×C₃×C₄	—	2	1	no	—
738	C₂²×C₃×C₄	—	2	1	no	—
739	C₂²×C₃×C₄	—	2	1	no	—
740	C₂²×C₃×C₄	—	2	1	no	—
741	C₂²×C₃×C₄	—	2	1	no	—
742	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
743	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
744	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
745	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
746	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
747	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
748	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
749	C₃×Q₁₆	—	4	1	no	—
750	C₃×Q₁₆	—	4	1	no	—
751	C₃×Q₁₆	—	4	1	no	—
752	C₃×SD₁₆	—	4	1	no	—
753	C₃×SD₁₆	—	4	1	no	—
754	C₃×SD₁₆	—	4	1	no	—
755	C₃×SD₁₆	—	4	1	no	—
756	C₃×D₈	—	4	1	no	—
757	C₃×M₁₆	—	4	1	no	—
758	C₃×M₁₆	—	4	1	no	—
759	C₃×M₁₆	—	4	1	no	—
760	C₃×M₁₆	—	4	1	no	—
761	C₂×C₃×C₈	—	4	1	no	—
762	C₂×C₃×C₈	—	4	1	no	—
763	C₂×C₃×C₈	—	4	1	no	—
764	C₂×C₃×C₈	—	4	1	no	—
765	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
766	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
767	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
768	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
769	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
770	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
771	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
772	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
773	C₃×C₄⋊C₄	—	2	1	no	—
774	C₃×C₄⋊C₄	—	2	1	no	—
775	C₃×C₄⋊C₄	—	2	1	no	—
776	C₃×C₄⋊C₄	—	2	1	no	—
777	C₃×C₄⋊C₄	—	2	1	no	—
778	C₃×C₄⋊C₄	—	2	1	no	—
779	C₃×C₄⋊C₄	—	2	1	no	—
780	C₃×C₄⋊C₄	—	2	1	no	—
781	C₃×C₄⋊C₄	—	2	1	no	—
782	C₃×C₄⋊C₄	—	2	1	no	—
783	C₃×C₄⋊C₄	—	2	1	no	—
784	C₃×C₄⋊C₄	—	2	1	no	—
785	C₃×C₄⋊C₄	—	2	1	no	—
786	C₃×C₄⋊C₄	—	2	1	no	—
787	C₃×C₄⋊C₄	—	2	1	no	—
788	C₃×C₄⋊C₄	—	2	1	no	—
789	C₃×C₄⋊C₄	—	2	1	no	—
790	C₃×C₄⋊C₄	—	2	1	no	—
791	C₃×C₄⋊C₄	—	2	1	no	—
792	C₃×C₄⋊C₄	—	2	1	no	—
793	C₃×C₄⋊C₄	—	2	1	no	—
794	C₃×C₄⋊C₄	—	2	1	no	—
795	C₃×C₄⋊C₄	—	2	1	no	—
796	C₃×C₄⋊C₄	—	2	1	no	—
797	C₃×C₄⋊C₄	—	2	1	no	—
798	C₃×C₄⋊C₄	—	2	1	no	—
799	C₃×C₄⋊C₄	—	2	1	no	—
800	C₃×C₄⋊C₄	—	2	1	no	—
801	C₃×C₄⋊C₄	—	2	1	no	—
802	C₃×C₄⋊C₄	—	2	1	no	—
803	C₃×C₄⋊C₄	—	2	1	no	—
804	C₃×C₄⋊C₄	—	2	1	no	—
805	C₃×C₄⋊C₄	—	2	1	no	—
806	C₃×C₄⋊C₄	—	2	1	no	—
807	C₃×C₄⋊C₄	—	2	1	no	—
808	C₃×C₄⋊C₄	—	2	1	no	—
809	C₃×C₄⋊C₄	—	2	1	no	—
810	C₃×C₄⋊C₄	—	2	1	no	—
811	C₃×C₄⋊C₄	—	2	1	no	—
812	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
813	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
814	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
815	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
816	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
817	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
818	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
819	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
820	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
821	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
822	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
823	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
824	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
825	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
826	C₃×C₂²⋊C₄	—	2	1	no	—
827	C₃×C₂²⋊C₄	—	2	1	no	—
828	C₃×C₂²⋊C₄	—	2	1	no	—
829	C₃×C₂²⋊C₄	—	2	1	no	—
830	C₃×C₂²⋊C₄	—	2	1	no	—
831	C₃×C₂²⋊C₄	—	2	1	no	—
832	C₃×C₂²⋊C₄	—	2	1	no	—
833	C₃×C₂²⋊C₄	—	2	1	no	—
834	C₃×C₂²⋊C₄	—	2	1	no	—
835	C₃×C₂²⋊C₄	—	2	1	no	—
836	C₃×C₂²⋊C₄	—	2	1	no	—
837	C₃×C₂²⋊C₄	—	2	1	no	—
838	C₃×C₂²⋊C₄	—	2	1	no	—
839	C₃×C₂²⋊C₄	—	2	1	no	—
840	C₃×C₂²⋊C₄	—	2	1	no	—
841	C₃×C₂²⋊C₄	—	2	1	no	—
842	C₃×C₂²⋊C₄	—	2	1	no	—
843	C₃×C₂²⋊C₄	—	2	1	no	—
844	C₃×C₂²⋊C₄	—	2	1	no	—
845	C₃×C₂²⋊C₄	—	2	1	no	—
846	C₃×C₂²⋊C₄	—	2	1	no	—
847	C₃×C₂²⋊C₄	—	2	1	no	—
848	C₃×C₂²⋊C₄	—	2	1	no	—
849	C₃×C₂²⋊C₄	—	2	1	no	—
850	C₃×C₂²⋊C₄	—	2	1	no	—
851	C₃×C₂²⋊C₄	—	2	1	no	—
852	C₃×C₂²⋊C₄	—	2	1	no	—
853	C₃×C₂²⋊C₄	—	2	1	no	—
854	C₃×C₂²⋊C₄	—	2	1	no	—
855	C₃×C₂²⋊C₄	—	2	1	no	—
856	C₃×C₂²⋊C₄	—	2	1	no	—
857	C₃×C₂²⋊C₄	—	2	1	no	—
858	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
859	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
860	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
861	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
862	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
863	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
864	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
865	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
866	C₃×C₄²	—	2	1	no	—
867	C₃×C₄²	—	2	1	no	—
868	C₃×C₄²	—	2	1	no	—
869	C₃×C₄²	—	2	1	no	—
870	C₃×C₄²	—	2	1	no	—
871	C₃×C₄²	—	2	1	no	—
872	C₃×C₄²	—	2	1	no	—
873	C₃×C₄²	—	2	1	no	—
874	C₃×C₄²	—	2	1	no	—
875	C₃×C₄²	—	2	1	no	—
876	C₃×C₄²	—	2	1	no	—
877	C₃×C₄²	—	2	1	no	—
878	C₃×C₄²	C₂×D₄	1	1	yes	characteristic
879	C₃×C₄²	C₂×D₄	1	1	yes	characteristic
880	C₃×C₄²	C₂⁴	1	1	yes	characteristic
881	C₃×C₄²	C₂⁴	1	1	yes	characteristic
882	C₂×#41	C₂³×C₃	1	1	yes	characteristic
883	C₂×#41	C₂³×C₃	1	1	yes	characteristic
884	C₂×#41	C₂³×C₃	1	1	yes	characteristic
885	C₂×#41	C₂³×C₃	1	1	yes	characteristic
886	C₂×#41	C₂³×C₃	1	1	yes	characteristic
887	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
888	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
889	C₂×Q₁₆	C₂³×C₃	1	1	yes	characteristic
890	C₂×Q₁₆	C₂³×C₃	1	1	yes	characteristic
891	C₂×Q₁₆	C₂³×C₃	1	1	yes	characteristic
892	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
893	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
894	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
895	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
896	C₂×D₈	C₂³×C₃	1	1	yes	characteristic
897	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
898	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
899	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
900	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
901	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
902	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
903	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
904	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
905	C₄⋊Q₈	—	2	1	no	—
906	C₄⋊Q₈	—	2	1	no	—
907	C₄⋊Q₈	—	2	1	no	—
908	C₄⋊Q₈	C₃×D₄	1	1	yes	characteristic
909	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
910	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
911	#127	C₃×D₄	1	1	yes	characteristic
912	#126	—	2	1	no	—
913	#126	—	2	1	no	—
914	#126	—	2	1	no	—
915	#126	—	2	1	no	—
916	#126	—	2	1	no	—
917	#126	—	2	1	no	—
918	#126	—	2	1	no	—
919	#126	—	2	1	no	—
920	#126	—	2	1	no	—
921	#126	—	2	1	no	—
922	#126	—	2	1	no	—
923	#125	—	2	1	no	—
924	#125	—	2	1	no	—
925	#125	—	2	1	no	—
926	#125	—	2	1	no	—
927	#125	—	2	1	no	—
928	#125	—	2	1	no	—
929	#125	—	2	1	no	—
930	#125	—	2	1	no	—
931	#125	—	2	1	no	—
932	#125	—	2	1	no	—
933	#125	C₂³×C₃	1	1	yes	characteristic
934	#125	C₂³×C₃	1	1	yes	characteristic
935	#125	C₂³×C₃	1	1	yes	characteristic
936	#125	C₂³×C₃	1	1	yes	characteristic
937	#125	C₂³×C₃	1	1	yes	characteristic
938	#124	—	2	1	no	—
939	#124	—	2	1	no	—
940	#124	—	2	1	no	—
941	#124	—	2	1	no	—
942	#124	—	2	1	no	—
943	#124	—	2	1	no	—
944	#124	C₃×D₄	1	1	yes	characteristic
945	#124	C₃×D₄	1	1	yes	characteristic
946	#124	C₂³×C₃	1	1	yes	characteristic
947	#123	—	2	1	no	—
948	#123	—	2	1	no	—
949	#123	—	2	1	no	—
950	#123	—	2	1	no	—
951	#123	—	2	1	no	—
952	#123	—	2	1	no	—
953	#123	—	2	1	no	—
954	#123	—	2	1	no	—
955	#123	—	2	1	no	—
956	#123	—	2	1	no	—
957	#123	—	2	1	no	—
958	#123	—	2	1	no	—
959	#123	—	2	1	no	—
960	#123	—	2	1	no	—
961	#123	—	2	1	no	—
962	#123	—	2	1	no	—
963	#123	—	2	1	no	—
964	C₂²⋊Q₈	—	2	1	no	—
965	C₂²⋊Q₈	—	2	1	no	—
966	C₂²⋊Q₈	—	2	1	no	—
967	C₂²⋊Q₈	—	2	1	no	—
968	C₂²⋊Q₈	—	2	1	no	—
969	C₂²⋊Q₈	—	2	1	no	—
970	C₂²⋊Q₈	—	2	1	no	—
971	C₂²⋊Q₈	—	2	1	no	—
972	C₂²⋊Q₈	—	2	1	no	—
973	C₂²⋊Q₈	—	2	1	no	—
974	C₂²⋊Q₈	—	2	1	no	—
975	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
976	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
977	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
978	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
979	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
980	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
981	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
982	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
983	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
984	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
985	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
986	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
987	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
988	#121	—	2	1	no	—
989	#121	—	2	1	no	—
990	#121	—	2	1	no	—
991	#121	—	2	1	no	—
992	#121	—	2	1	no	—
993	#121	—	2	1	no	—
994	#121	—	2	1	no	—
995	#121	—	2	1	no	—
996	#121	—	2	1	no	—
997	#121	—	2	1	no	—
998	#121	—	2	1	no	—
999	#121	—	2	1	no	—
1000	#121	—	2	1	no	—
1001	#121	—	2	1	no	—
1002	#121	—	2	1	no	—
1003	#121	—	2	1	no	—
1004	#121	—	2	1	no	—
1005	#121	—	2	1	no	—
1006	#121	—	2	1	no	—
1007	#121	—	2	1	no	—
1008	#121	C₃×D₄	1	1	yes	characteristic
1009	#121	C₃×D₄	1	1	yes	characteristic
1010	#121	C₃×D₄	1	1	yes	characteristic
1011	#121	C₃×D₄	1	1	yes	characteristic
1012	#121	C₂³×C₃	1	1	yes	characteristic
1013	#121	C₂³×C₃	1	1	yes	characteristic
1014	#121	C₂³×C₃	1	1	yes	characteristic
1015	#121	C₂³×C₃	1	1	yes	characteristic
1016	#121	C₂³×C₃	1	1	yes	characteristic
1017	#121	C₂³×C₃	1	1	yes	characteristic
1018	#121	C₂³×C₃	1	1	yes	characteristic
1019	C₄×Q₈	—	2	1	no	—
1020	C₄×Q₈	—	2	1	no	—
1021	C₄×Q₈	—	2	1	no	—
1022	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1023	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1024	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1025	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1026	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1027	C₄×D₄	—	2	1	no	—
1028	C₄×D₄	—	2	1	no	—
1029	C₄×D₄	—	2	1	no	—
1030	C₄×D₄	—	2	1	no	—
1031	C₄×D₄	—	2	1	no	—
1032	C₄×D₄	—	2	1	no	—
1033	C₄×D₄	—	2	1	no	—
1034	C₄×D₄	—	2	1	no	—
1035	C₄×D₄	—	2	1	no	—
1036	C₄×D₄	—	2	1	no	—
1037	C₄×D₄	—	2	1	no	—
1038	C₄×D₄	—	2	1	no	—
1039	C₄×D₄	—	2	1	no	—
1040	C₄×D₄	—	2	1	no	—
1041	C₄×D₄	—	2	1	no	—
1042	C₄×D₄	—	2	1	no	—
1043	C₄×D₄	—	2	1	no	—
1044	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1045	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1046	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1047	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1048	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1049	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1050	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1051	#117	—	2	1	no	—
1052	#117	—	2	1	no	—
1053	#117	—	2	1	no	—
1054	#117	—	2	1	no	—
1055	#117	—	2	1	no	—
1056	#117	—	2	1	no	—
1057	#117	—	2	1	no	—
1058	#117	—	2	1	no	—
1059	#117	—	2	1	no	—
1060	#117	—	2	1	no	—
1061	#117	C₂³×C₃	1	1	yes	characteristic
1062	#117	C₂³×C₃	1	1	yes	characteristic
1063	#117	C₂³×C₃	1	1	yes	characteristic
1064	#117	C₂³×C₃	1	1	yes	characteristic
1065	#117	C₂³×C₃	1	1	yes	characteristic
1066	#117	C₂³×C₃	1	1	yes	characteristic
1067	#117	C₂³×C₃	1	1	yes	characteristic
1068	C₂×C₄⋊C₄	—	2	1	no	—
1069	C₂×C₄⋊C₄	—	2	1	no	—
1070	C₂×C₄⋊C₄	—	2	1	no	—
1071	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1072	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1073	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1074	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1075	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1076	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1077	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1078	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1079	C₂×C₄²	—	2	1	no	—
1080	C₂×C₄²	C₂³×C₃	1	1	yes	characteristic
1081	#107	C₂³×C₃	1	1	yes	characteristic
1082	#107	C₂³×C₃	1	1	yes	characteristic
1083	#107	C₂³×C₃	1	1	yes	characteristic
1084	#107	C₂³×C₃	1	1	yes	characteristic
1085	#107	C₂³×C₃	1	1	yes	characteristic
1086	#107	C₂³×C₃	1	1	yes	characteristic
1087	#107	C₂³×C₃	1	1	yes	characteristic
1088	#107	C₂³×C₃	1	1	yes	characteristic
1089	#107	C₂³×C₃	1	1	yes	characteristic
1090	#107	C₂³×C₃	1	1	yes	characteristic
1091	#107	C₂³×C₃	1	1	yes	characteristic
1092	#107	C₂³×C₃	1	1	yes	characteristic
1093	#106	C₂³×C₃	1	1	yes	characteristic
1094	#106	C₂³×C₃	1	1	yes	characteristic
1095	#106	C₂³×C₃	1	1	yes	characteristic
1096	#106	C₂³×C₃	1	1	yes	characteristic
1097	#106	C₂³×C₃	1	1	yes	characteristic
1098	#106	C₂³×C₃	1	1	yes	characteristic
1099	#106	C₂³×C₃	1	1	yes	characteristic
1100	#106	C₂³×C₃	1	1	yes	characteristic
1101	#106	C₂³×C₃	1	1	yes	characteristic
1102	#106	C₂³×C₃	1	1	yes	characteristic
1103	#106	C₂³×C₃	1	1	yes	characteristic
1104	#106	C₂³×C₃	1	1	yes	characteristic
1105	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
1106	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
1107	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
1108	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
1109	#103	C₂³×C₃	1	1	yes	characteristic
1110	#103	C₂³×C₃	1	1	yes	characteristic
1111	#103	C₂³×C₃	1	1	yes	characteristic
1112	#103	C₂³×C₃	1	1	yes	characteristic
1113	#103	C₂³×C₃	1	1	yes	characteristic
1114	#103	C₂³×C₃	1	1	yes	characteristic
1115	#103	C₂³×C₃	1	1	yes	characteristic
1116	#103	C₂³×C₃	1	1	yes	characteristic
1117	#103	C₂³×C₃	1	1	yes	characteristic
1118	#103	C₂³×C₃	1	1	yes	characteristic
1119	#103	C₂³×C₃	1	1	yes	characteristic
1120	#103	C₂³×C₃	1	1	yes	characteristic
1121	#103	C₂³×C₃	1	1	yes	characteristic
1122	#103	C₂³×C₃	1	1	yes	characteristic
1123	#103	C₂³×C₃	1	1	yes	characteristic
1124	#103	C₂³×C₃	1	1	yes	characteristic
1125	#103	C₂³×C₃	1	1	yes	characteristic
1126	#103	C₂³×C₃	1	1	yes	characteristic
1127	#103	C₂³×C₃	1	1	yes	characteristic
1128	#103	C₂³×C₃	1	1	yes	characteristic
1129	#103	C₂³×C₃	1	1	yes	characteristic
1130	#103	C₂³×C₃	1	1	yes	characteristic
1131	#102	C₂³×C₃	1	1	yes	characteristic
1132	#102	C₂³×C₃	1	1	yes	characteristic
1133	#102	C₂³×C₃	1	1	yes	characteristic
1134	#102	C₂³×C₃	1	1	yes	characteristic
1135	#102	C₂³×C₃	1	1	yes	characteristic
1136	#102	C₂³×C₃	1	1	yes	characteristic
1137	#102	C₂³×C₃	1	1	yes	characteristic
1138	#102	C₂³×C₃	1	1	yes	characteristic
1139	#102	C₂³×C₃	1	1	yes	characteristic
1140	#102	C₂³×C₃	1	1	yes	characteristic
1141	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1142	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1143	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1144	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1145	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1146	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1147	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1148	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1149	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1150	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1151	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1152	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1153	#97	C₂³×C₃	1	1	yes	characteristic
1154	#97	C₂³×C₃	1	1	yes	characteristic
1155	C₄×C₈	C₂³×C₃	1	1	yes	characteristic
1156	C₄×C₈	C₂³×C₃	1	1	yes	characteristic
1157	C₂³×C₃	—	2	1	no	—
1158	C₂³×C₃	—	2	1	no	—
1159	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1160	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1161	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1162	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1163	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1164	C₃×Q₈	—	2	1	no	—
1165	C₃×Q₈	—	2	1	no	—
1166	C₃×Q₈	—	2	1	no	—
1167	C₃×Q₈	—	2	1	no	—
1168	C₃×Q₈	—	2	1	no	—
1169	C₃×Q₈	—	2	1	no	—
1170	C₃×Q₈	—	2	1	no	—
1171	C₃×Q₈	—	2	1	no	—
1172	C₃×Q₈	—	4	1	no	—
1173	C₃×Q₈	—	4	1	no	—
1174	C₃×Q₈	—	8	1	no	—
1175	C₃×Q₈	—	8	1	no	—
1176	C₃×Q₈	—	8	1	no	—
1177	C₃×D₄	—	2	1	no	—
1178	C₃×D₄	—	2	1	no	—
1179	C₃×D₄	—	2	1	no	—
1180	C₃×D₄	—	2	1	no	—
1181	C₃×D₄	—	4	1	no	—
1182	C₃×D₄	—	4	1	no	—
1183	C₃×D₄	—	4	1	no	—
1184	C₃×D₄	—	4	1	no	—
1185	C₃×D₄	—	4	1	no	—
1186	C₃×D₄	—	4	1	no	—
1187	C₃×D₄	—	4	1	no	—
1188	C₃×D₄	—	4	1	no	—
1189	C₃×D₄	—	4	1	no	—
1190	C₃×D₄	—	4	1	no	—
1191	C₃×D₄	—	4	2	no	—
1192	C₃×D₄	—	8	1	no	—
1193	C₃×D₄	—	8	1	no	—
1194	C₃×D₄	—	8	1	no	—
1195	C₃×D₄	—	8	1	no	—
1196	C₃×D₄	—	8	1	no	—
1197	C₃×D₄	—	8	1	no	—
1198	C₃×D₄	—	8	1	no	—
1199	C₃×D₄	—	8	1	no	—
1200	C₃×D₄	—	8	1	no	—
1201	C₂×C₃×C₄	—	2	1	no	—
1202	C₂×C₃×C₄	—	2	1	no	—
1203	C₂×C₃×C₄	—	2	1	no	—
1204	C₂×C₃×C₄	—	2	1	no	—
1205	C₂×C₃×C₄	—	2	1	no	—
1206	C₂×C₃×C₄	—	2	1	no	—
1207	C₂×C₃×C₄	—	2	1	no	—
1208	C₂×C₃×C₄	—	2	1	no	—
1209	C₂×C₃×C₄	—	2	1	no	—
1210	C₂×C₃×C₄	—	2	1	no	—
1211	C₂×C₃×C₄	—	2	1	no	—
1212	C₂×C₃×C₄	—	2	1	no	—
1213	C₂×C₃×C₄	—	2	1	no	—
1214	C₂×C₃×C₄	—	2	1	no	—
1215	C₂×C₃×C₄	—	2	1	no	—
1216	C₂×C₃×C₄	—	2	1	no	—
1217	C₂×C₃×C₄	—	2	1	no	—
1218	C₂×C₃×C₄	—	2	1	no	—
1219	C₂×C₃×C₄	—	2	1	no	—
1220	C₂×C₃×C₄	—	2	1	no	—
1221	C₂×C₃×C₄	—	2	1	no	—
1222	C₂×C₃×C₄	—	2	1	no	—
1223	C₂×C₃×C₄	—	2	1	no	—
1224	C₂×C₃×C₄	—	2	1	no	—
1225	C₂×C₃×C₄	—	4	1	no	—
1226	C₂×C₃×C₄	—	4	1	no	—
1227	C₂×C₃×C₄	—	4	2	no	—
1228	C₂×C₃×C₄	—	4	2	no	—
1229	C₂×C₃×C₄	—	8	1	no	—
1230	C₂×C₃×C₄	—	8	1	no	—
1231	C₂×C₃×C₄	—	8	1	no	—
1232	C₂×C₃×C₄	—	8	1	no	—
1233	C₂×C₃×C₄	—	8	1	no	—
1234	C₂×C₃×C₄	—	8	1	no	—
1235	C₂×C₃×C₄	—	8	1	no	—
1236	C₂×C₃×C₄	—	8	1	no	—
1237	C₂×C₃×C₄	—	8	1	no	—
1238	C₂×C₃×C₄	—	8	1	no	—
1239	C₂×C₃×C₄	—	8	1	no	—
1240	C₂×C₃×C₄	—	8	1	no	—
1241	C₂×C₃×C₄	—	8	1	no	—
1242	C₂×C₃×C₄	—	8	1	no	—
1243	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1244	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1245	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1246	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1247	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1248	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1249	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1250	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1251	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1252	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1253	C₃×C₈	—	2	1	no	—
1254	C₃×C₈	—	2	1	no	—
1255	C₃×C₈	—	2	1	no	—
1256	C₃×C₈	—	2	1	no	—
1257	C₃×C₈	—	2	1	no	—
1258	C₃×C₈	—	2	1	no	—
1259	C₃×C₈	—	2	1	no	—
1260	C₃×C₈	—	2	1	no	—
1261	#41	—	4	1	no	—
1262	#41	—	4	1	no	—
1263	#41	—	4	1	no	—
1264	#41	—	4	1	no	—
1265	#41	—	4	1	no	—
1266	#41	—	4	1	no	—
1267	#41	—	4	1	no	—
1268	#41	—	4	1	no	—
1269	#41	—	4	1	no	—
1270	#41	—	4	1	no	—
1271	C₂×Q₈	—	2	1	no	—
1272	C₂×Q₈	—	2	1	no	—
1273	C₂×Q₈	—	2	1	no	—
1274	C₂×Q₈	—	4	1	no	—
1275	C₂×Q₈	—	4	1	no	—
1276	C₂×Q₈	—	4	1	no	—
1277	C₂×Q₈	—	4	1	no	—
1278	C₂×Q₈	C₂×C₃×D₄	1	1	yes	characteristic
1279	C₂×Q₈	C₂×C₃×D₄	1	1	yes	characteristic
1280	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1281	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1282	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1283	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1284	C₂×D₄	—	2	1	no	—
1285	C₂×D₄	—	2	1	no	—
1286	C₂×D₄	—	2	1	no	—
1287	C₂×D₄	—	2	1	no	—
1288	C₂×D₄	—	2	1	no	—
1289	C₂×D₄	—	2	1	no	—
1290	C₂×D₄	—	2	1	no	—
1291	C₂×D₄	—	2	1	no	—
1292	C₂×D₄	—	2	1	no	—
1293	C₂×D₄	—	2	1	no	—
1294	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1295	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1296	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1297	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1298	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1299	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1300	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1301	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1302	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1303	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1304	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1305	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1306	C₂²×C₄	—	2	1	no	—
1307	C₂²×C₄	—	2	1	no	—
1308	C₂²×C₄	—	2	1	no	—
1309	C₂²×C₄	—	2	1	no	—
1310	C₂²×C₄	—	2	1	no	—
1311	C₂²×C₄	—	2	1	no	—
1312	C₂²×C₄	—	2	1	no	—
1313	C₂²×C₄	—	2	1	no	—
1314	C₂²×C₄	—	2	1	no	—
1315	C₂²×C₄	—	2	1	no	—
1316	C₂²×C₄	—	2	1	no	—
1317	C₂²×C₄	—	2	1	no	—
1318	C₂²×C₄	—	2	1	no	—
1319	C₂²×C₄	—	2	1	no	—
1320	C₂²×C₄	—	2	1	no	—
1321	C₂²×C₄	—	2	1	no	—
1322	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1323	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1324	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1325	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1326	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1327	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1328	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1329	Q₁₆	—	4	1	no	—
1330	Q₁₆	—	4	1	no	—
1331	Q₁₆	—	4	1	no	—
1332	SD₁₆	—	4	1	no	—
1333	SD₁₆	—	4	1	no	—
1334	SD₁₆	—	4	1	no	—
1335	SD₁₆	—	4	1	no	—
1336	D₈	—	4	1	no	—
1337	M₁₆	—	4	1	no	—
1338	M₁₆	—	4	1	no	—
1339	M₁₆	—	4	1	no	—
1340	M₁₆	—	4	1	no	—
1341	C₂×C₈	—	4	1	no	—
1342	C₂×C₈	—	4	1	no	—
1343	C₂×C₈	—	4	1	no	—
1344	C₂×C₈	—	4	1	no	—
1345	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1346	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1347	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1348	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1349	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1350	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1351	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1352	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1353	C₄⋊C₄	—	2	1	no	—
1354	C₄⋊C₄	—	2	1	no	—
1355	C₄⋊C₄	—	2	1	no	—
1356	C₄⋊C₄	—	2	1	no	—
1357	C₄⋊C₄	—	2	1	no	—
1358	C₄⋊C₄	—	2	1	no	—
1359	C₄⋊C₄	—	2	1	no	—
1360	C₄⋊C₄	—	2	1	no	—
1361	C₄⋊C₄	—	2	1	no	—
1362	C₄⋊C₄	—	2	1	no	—
1363	C₄⋊C₄	—	2	1	no	—
1364	C₄⋊C₄	—	2	1	no	—
1365	C₄⋊C₄	—	2	1	no	—
1366	C₄⋊C₄	—	2	1	no	—
1367	C₄⋊C₄	—	2	1	no	—
1368	C₄⋊C₄	—	2	1	no	—
1369	C₄⋊C₄	—	2	1	no	—
1370	C₄⋊C₄	—	2	1	no	—
1371	C₄⋊C₄	—	2	1	no	—
1372	C₄⋊C₄	—	2	1	no	—
1373	C₄⋊C₄	—	2	1	no	—
1374	C₄⋊C₄	—	2	1	no	—
1375	C₄⋊C₄	—	2	1	no	—
1376	C₄⋊C₄	—	2	1	no	—
1377	C₄⋊C₄	—	2	1	no	—
1378	C₄⋊C₄	—	2	1	no	—
1379	C₄⋊C₄	—	2	1	no	—
1380	C₄⋊C₄	—	2	1	no	—
1381	C₄⋊C₄	—	2	1	no	—
1382	C₄⋊C₄	—	2	1	no	—
1383	C₄⋊C₄	—	2	1	no	—
1384	C₄⋊C₄	—	2	1	no	—
1385	C₄⋊C₄	—	2	1	no	—
1386	C₄⋊C₄	—	2	1	no	—
1387	C₄⋊C₄	—	2	1	no	—
1388	C₄⋊C₄	—	2	1	no	—
1389	C₄⋊C₄	—	2	1	no	—
1390	C₄⋊C₄	—	2	1	no	—
1391	C₄⋊C₄	—	2	1	no	—
1392	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1393	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1394	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1395	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1396	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1397	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1398	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1399	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1400	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1401	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1402	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1403	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1404	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1405	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1406	C₂²⋊C₄	—	2	1	no	—
1407	C₂²⋊C₄	—	2	1	no	—
1408	C₂²⋊C₄	—	2	1	no	—
1409	C₂²⋊C₄	—	2	1	no	—
1410	C₂²⋊C₄	—	2	1	no	—
1411	C₂²⋊C₄	—	2	1	no	—
1412	C₂²⋊C₄	—	2	1	no	—
1413	C₂²⋊C₄	—	2	1	no	—
1414	C₂²⋊C₄	—	2	1	no	—
1415	C₂²⋊C₄	—	2	1	no	—
1416	C₂²⋊C₄	—	2	1	no	—
1417	C₂²⋊C₄	—	2	1	no	—
1418	C₂²⋊C₄	—	2	1	no	—
1419	C₂²⋊C₄	—	2	1	no	—
1420	C₂²⋊C₄	—	2	1	no	—
1421	C₂²⋊C₄	—	2	1	no	—
1422	C₂²⋊C₄	—	2	1	no	—
1423	C₂²⋊C₄	—	2	1	no	—
1424	C₂²⋊C₄	—	2	1	no	—
1425	C₂²⋊C₄	—	2	1	no	—
1426	C₂²⋊C₄	—	2	1	no	—
1427	C₂²⋊C₄	—	2	1	no	—
1428	C₂²⋊C₄	—	2	1	no	—
1429	C₂²⋊C₄	—	2	1	no	—
1430	C₂²⋊C₄	—	2	1	no	—
1431	C₂²⋊C₄	—	2	1	no	—
1432	C₂²⋊C₄	—	2	1	no	—
1433	C₂²⋊C₄	—	2	1	no	—
1434	C₂²⋊C₄	—	2	1	no	—
1435	C₂²⋊C₄	—	2	1	no	—
1436	C₂²⋊C₄	—	2	1	no	—
1437	C₂²⋊C₄	—	2	1	no	—
1438	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1439	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1440	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1441	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1442	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1443	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1444	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1445	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1446	C₄²	—	2	1	no	—
1447	C₄²	—	2	1	no	—
1448	C₄²	—	2	1	no	—
1449	C₄²	—	2	1	no	—
1450	C₄²	—	2	1	no	—
1451	C₄²	—	2	1	no	—
1452	C₄²	—	2	1	no	—
1453	C₄²	—	2	1	no	—
1454	C₄²	—	2	1	no	—
1455	C₄²	—	2	1	no	—
1456	C₄²	—	2	1	no	—
1457	C₄²	—	2	1	no	—
1458	C₄²	C₂×C₃×D₄	1	1	yes	characteristic
1459	C₄²	C₂×C₃×D₄	1	1	yes	characteristic
1460	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1461	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1462	C₂²×C₃	—	2	1	no	—
1463	C₂²×C₃	—	2	1	no	—
1464	C₂²×C₃	—	2	1	no	—
1465	C₂²×C₃	—	2	1	no	—
1466	C₂²×C₃	—	2	1	no	—
1467	C₂²×C₃	—	2	1	no	—
1468	C₂²×C₃	—	2	1	no	—
1469	C₂²×C₃	—	2	1	no	—
1470	C₂²×C₃	—	2	1	no	—
1471	C₂²×C₃	—	2	1	no	—
1472	C₂²×C₃	—	2	1	no	—
1473	C₂²×C₃	—	2	1	no	—
1474	C₂²×C₃	—	2	1	no	—
1475	C₂²×C₃	—	2	1	no	—
1476	C₂²×C₃	—	2	1	no	—
1477	C₂²×C₃	—	4	1	no	—
1478	C₂²×C₃	—	4	1	no	—
1479	C₂²×C₃	—	4	1	no	—
1480	C₂²×C₃	—	4	1	no	—
1481	C₂²×C₃	—	4	1	no	—
1482	C₂²×C₃	—	4	1	no	—
1483	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1484	C₃×C₄	—	2	1	no	—
1485	C₃×C₄	—	2	1	no	—
1486	C₃×C₄	—	2	1	no	—
1487	C₃×C₄	—	2	1	no	—
1488	C₃×C₄	—	2	1	no	—
1489	C₃×C₄	—	2	1	no	—
1490	C₃×C₄	—	2	1	no	—
1491	C₃×C₄	—	2	1	no	—
1492	C₃×C₄	—	2	1	no	—
1493	C₃×C₄	—	4	1	no	—
1494	C₃×C₄	—	4	1	no	—
1495	C₃×C₄	—	4	1	no	—
1496	C₃×C₄	—	4	1	no	—
1497	C₃×C₄	—	4	1	no	—
1498	C₃×C₄	—	4	1	no	—
1499	C₃×C₄	—	4	1	no	—
1500	C₃×C₄	—	4	1	no	—
1501	C₃×C₄	—	4	1	no	—
1502	C₃×C₄	—	4	1	no	—
1503	C₃×C₄	—	4	1	no	—
1504	C₃×C₄	—	4	1	no	—
1505	C₃×C₄	—	4	1	no	—
1506	C₃×C₄	—	4	1	no	—
1507	C₃×C₄	#585	1	1	yes	characteristic
1508	C₃×C₄	#585	1	1	yes	characteristic
1509	C₂³	—	2	1	no	—
1510	C₂³	—	2	1	no	—
1511	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1512	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1513	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1514	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1515	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1516	Q₈	—	2	1	no	—
1517	Q₈	—	2	1	no	—
1518	Q₈	—	2	1	no	—
1519	Q₈	—	2	1	no	—
1520	Q₈	—	2	1	no	—
1521	Q₈	—	2	1	no	—
1522	Q₈	—	2	1	no	—
1523	Q₈	—	2	1	no	—
1524	Q₈	—	4	1	no	—
1525	Q₈	—	4	1	no	—
1526	Q₈	—	8	1	no	—
1527	Q₈	—	8	1	no	—
1528	Q₈	—	8	1	no	—
1529	D₄	—	2	1	no	—
1530	D₄	—	2	1	no	—
1531	D₄	—	2	1	no	—
1532	D₄	—	2	1	no	—
1533	D₄	—	4	1	no	—
1534	D₄	—	4	1	no	—
1535	D₄	—	4	1	no	—
1536	D₄	—	4	1	no	—
1537	D₄	—	4	1	no	—
1538	D₄	—	4	1	no	—
1539	D₄	—	4	1	no	—
1540	D₄	—	4	1	no	—
1541	D₄	—	4	1	no	—
1542	D₄	—	4	1	no	—
1543	D₄	—	4	2	no	—
1544	D₄	—	8	1	no	—
1545	D₄	—	8	1	no	—
1546	D₄	—	8	1	no	—
1547	D₄	—	8	1	no	—
1548	D₄	—	8	1	no	—
1549	D₄	—	8	1	no	—
1550	D₄	—	8	1	no	—
1551	D₄	—	8	1	no	—
1552	D₄	—	8	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	2	1	no	—
1577	C₂×C₄	—	4	1	no	—
1578	C₂×C₄	—	4	1	no	—
1579	C₂×C₄	—	4	2	no	—
1580	C₂×C₄	—	4	2	no	—
1581	C₂×C₄	—	8	1	no	—
1582	C₂×C₄	—	8	1	no	—
1583	C₂×C₄	—	8	1	no	—
1584	C₂×C₄	—	8	1	no	—
1585	C₂×C₄	—	8	1	no	—
1586	C₂×C₄	—	8	1	no	—
1587	C₂×C₄	—	8	1	no	—
1588	C₂×C₄	—	8	1	no	—
1589	C₂×C₄	—	8	1	no	—
1590	C₂×C₄	—	8	1	no	—
1591	C₂×C₄	—	8	1	no	—
1592	C₂×C₄	—	8	1	no	—
1593	C₂×C₄	—	8	1	no	—
1594	C₂×C₄	—	8	1	no	—
1595	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1596	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1597	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1598	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1599	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1600	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1601	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1602	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1603	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1604	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1605	C₈	—	2	1	no	—
1606	C₈	—	2	1	no	—
1607	C₈	—	2	1	no	—
1608	C₈	—	2	1	no	—
1609	C₈	—	2	1	no	—
1610	C₈	—	2	1	no	—
1611	C₈	—	2	1	no	—
1612	C₈	—	2	1	no	—
1613	C₂×C₃	—	4	1	no	—
1614	C₂×C₃	—	4	1	no	—
1615	C₂×C₃	—	4	1	no	—
1616	C₂×C₃	—	4	1	no	—
1617	C₂×C₃	—	4	1	no	—
1618	C₂×C₃	—	8	1	no	—
1619	C₂×C₃	—	8	1	no	—
1620	C₂×C₃	#3485	1	1	yes	characteristic
1621	C₂×C₃	#3584	1	1	yes	characteristic
1622	C₂×C₃	#3586	1	1	yes	characteristic
1623	C₂²	—	2	1	no	—
1624	C₂²	—	2	1	no	—
1625	C₂²	—	2	1	no	—
1626	C₂²	—	2	1	no	—
1627	C₂²	—	2	1	no	—
1628	C₂²	—	2	1	no	—
1629	C₂²	—	2	1	no	—
1630	C₂²	—	2	1	no	—
1631	C₂²	—	2	1	no	—
1632	C₂²	—	2	1	no	—
1633	C₂²	—	2	1	no	—
1634	C₂²	—	2	1	no	—
1635	C₂²	—	2	1	no	—
1636	C₂²	—	2	1	no	—
1637	C₂²	—	2	1	no	—
1638	C₂²	—	4	1	no	—
1639	C₂²	—	4	1	no	—
1640	C₂²	—	4	1	no	—
1641	C₂²	—	4	1	no	—
1642	C₂²	—	4	1	no	—
1643	C₂²	—	4	1	no	—
1644	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1645	C₄	—	2	1	no	—
1646	C₄	—	2	1	no	—
1647	C₄	—	2	1	no	—
1648	C₄	—	2	1	no	—
1649	C₄	—	2	1	no	—
1650	C₄	—	2	1	no	—
1651	C₄	—	2	1	no	—
1652	C₄	—	2	1	no	—
1653	C₄	—	2	1	no	—
1654	C₄	—	4	1	no	—
1655	C₄	—	4	1	no	—
1656	C₄	—	4	1	no	—
1657	C₄	—	4	1	no	—
1658	C₄	—	4	1	no	—
1659	C₄	—	4	1	no	—
1660	C₄	—	4	1	no	—
1661	C₄	—	4	1	no	—
1662	C₄	—	4	1	no	—
1663	C₄	—	4	1	no	—
1664	C₄	—	4	1	no	—
1665	C₄	—	4	1	no	—
1666	C₄	—	4	1	no	—
1667	C₄	—	4	1	no	—
1668	C₄	C₃×#585	1	1	yes	characteristic
1669	C₄	C₃×#585	1	1	yes	characteristic
1670	C₃	#61814	1	1	yes	characteristic, direct product factor, Sylow
1671	C₂	—	4	1	no	—
1672	C₂	—	4	1	no	—
1673	C₂	—	4	1	no	—
1674	C₂	—	4	1	no	—
1675	C₂	—	4	1	no	—
1676	C₂	—	8	1	no	—
1677	C₂	—	8	1	no	—
1678	C₂	C₃×#3485	1	1	yes	characteristic
1679	C₂	C₃×#3584	1	1	yes	characteristic
1680	C₂	C₃×#3586	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²×C₃	C₂³×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁵×C₃
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂²×C₃ ◁ C₃×#532 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃×#3547	C₂	semidirect
2. C₃×#3512	C₂	semidirect
3. C₃×#3352	C₂	semidirect
4. C₃×#3351	C₂	semidirect
5. C₃×#3348	C₂	semidirect
6. C₃×#3347	C₂	semidirect
7. C₃×#3346	C₂	semidirect
8. C₃×#3344	C₂	semidirect
9. C₃×#3337	C₂	semidirect
10. C₃×#3336	C₂	semidirect
11. C₃×#3327	C₂	semidirect
12. C₃×#3326	C₂	semidirect
13. C₃×#3320	C₂	semidirect
14. C₃×#3315	C₂	semidirect
15. C₃×#3312	C₂	semidirect
16. C₃×#3307	C₂	semidirect
17. C₃×#3301	C₂	semidirect
18. C₃×#3300	C₂	semidirect
19. C₃×#3236	C₂	semidirect
20. C₃×#3232	C₂	semidirect
21. C₃×#3204	C₂	semidirect
22. C₃×#3203	C₂	semidirect
23. C₃×#3201	C₂	semidirect
24. C₃×#3201	C₂	semidirect
25. C₃×#3111	C₂	semidirect
26. C₃×#3107	C₂	semidirect
27. C₃×#3099	C₂	semidirect
28. C₃×#3098	C₂	semidirect
29. C₃×#3097	C₂	semidirect
30. C₃×#3097	C₂	semidirect
31. C₃×#2981	C₂	semidirect
32. #61814	C₃	direct (N × H)
204. #3547	C₂×C₃	semidirect
205. #3512	C₂×C₃	semidirect
206. #3352	C₂×C₃	semidirect
207. #3351	C₂×C₃	semidirect
208. #3348	C₂×C₃	semidirect
209. #3347	C₂×C₃	semidirect
210. #3346	C₂×C₃	semidirect
211. #3344	C₂×C₃	semidirect
212. #3337	C₂×C₃	semidirect
213. #3336	C₂×C₃	semidirect
214. #3327	C₂×C₃	semidirect
215. #3326	C₂×C₃	semidirect
216. #3320	C₂×C₃	semidirect
217. #3315	C₂×C₃	semidirect
218. #3312	C₂×C₃	semidirect
219. #3307	C₂×C₃	semidirect
220. #3301	C₂×C₃	semidirect
221. #3300	C₂×C₃	semidirect
222. #3236	C₂×C₃	semidirect
223. #3232	C₂×C₃	semidirect
224. #3204	C₂×C₃	semidirect
225. #3203	C₂×C₃	semidirect
226. #3201	C₂×C₃	semidirect
227. #3201	C₂×C₃	semidirect
228. #3111	C₂×C₃	semidirect
229. #3107	C₂×C₃	semidirect
230. #3099	C₂×C₃	semidirect
231. #3098	C₂×C₃	semidirect
232. #3097	C₂×C₃	semidirect
233. #3097	C₂×C₃	semidirect
234. #2981	C₂×C₃	semidirect
1670. C₃	#61814	direct (N × H)

Maximal subgroups

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

subgroup	index
C₃×#3547	2
C₃×#3512	2
C₃×#3352	2
C₃×#3351	2
C₃×#3348	2
C₃×#3347	2
C₃×#3346	2
C₃×#3344	2
C₃×#3337	2
C₃×#3336	2
C₃×#3327	2
C₃×#3326	2
C₃×#3320	2
C₃×#3315	2
C₃×#3312	2
C₃×#3307	2
C₃×#3301	2
C₃×#3300	2
C₃×#3236	2
C₃×#3232	2
C₃×#3204	2
C₃×#3203	2
C₃×#3201	2
C₃×#3111	2
C₃×#3107	2
C₃×#3099	2
C₃×#3098	2
C₃×#3097	2
C₃×#2981	2
#61814	3

Subgroups — C3×#61814 #10680421

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#61814 #10680421