Subgroups — C₃×#61653 #10680260

Order 768.

2164 conjugacy classes of subgroups.

The subgroup lattice has 1952 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3542	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#3488	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#3332	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#3326	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#3325	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#3323	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#3321	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#3318	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#3317	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#3306	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#3275	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#3274	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#3274	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#3273	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#3271	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#3268	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#3264	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#3264	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#3224	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#3220	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#3204	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#3198	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#3194	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#3192	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#3125	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#3119	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#3012	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#3008	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×#3006	C₂	1	1	yes	maximal, characteristic, complemented
30	C₃×#3005	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃×#2978	C₂	1	1	yes	maximal, characteristic, complemented
32	#61653	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
33	C₂×C₃×H(5,𝔽₂)	C₂²	1	1	yes	characteristic, complemented
34	C₂²×C₃×#41	C₂²	1	1	yes	characteristic, complemented
35	C₂×C₃×#137	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
38	C₂×C₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
39	C₂×C₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
40	C₂×C₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic, complemented
41	C₂×C₃×#135	C₂²	1	1	yes	characteristic, complemented
42	C₂²×C₃×D₈	C₂²	1	1	yes	characteristic, complemented
43	C₃×#562	—	2	1	no	—
44	C₃×#560	—	2	1	no	—
45	C₃×#555	C₂²	1	1	yes	characteristic, complemented
46	C₃×#553	C₂²	1	1	yes	characteristic, complemented
47	C₃×#552	C₂²	1	1	yes	characteristic, complemented
48	C₃×#551	—	2	1	no	—
49	C₃×#550	C₂²	1	1	yes	characteristic
50	C₃×#550	C₂²	1	1	yes	characteristic, complemented
51	C₃×#550	C₂²	1	1	yes	characteristic, complemented
52	C₃×#548	C₂²	1	1	yes	characteristic, complemented
53	C₃×#548	C₂²	1	1	yes	characteristic, complemented
54	C₃×#547	C₂²	1	1	yes	characteristic, complemented
55	C₃×#546	—	2	1	no	—
56	C₃×#546	—	2	1	no	—
57	C₃×#546	—	2	1	no	—
58	C₃×#546	C₂²	1	1	yes	characteristic
59	C₃×#546	C₂²	1	1	yes	characteristic, complemented
60	C₃×#546	C₂²	1	1	yes	characteristic, complemented
61	C₃×#546	C₂²	1	1	yes	characteristic, complemented
62	C₃×D₄²	—	2	1	no	—
63	C₃×D₄²	—	2	1	no	—
64	C₃×D₄²	C₂²	1	1	yes	characteristic, complemented
65	C₃×D₄²	C₂²	1	1	yes	characteristic, complemented
66	C₃×D₄²	C₂²	1	1	yes	characteristic, complemented
67	C₃×#542	C₂²	1	1	yes	characteristic, complemented
68	C₃×#540	—	2	1	no	—
69	C₃×#540	C₂²	1	1	yes	characteristic, complemented
70	C₃×#538	—	2	1	no	—
71	C₃×#537	—	2	1	no	—
72	C₃×#537	C₂²	1	1	yes	characteristic, complemented
73	C₃×#537	C₂²	1	1	yes	characteristic, complemented
74	C₃×#535	—	2	1	no	—
75	C₃×#535	—	2	1	no	—
76	C₃×#535	C₂²	1	1	yes	characteristic, complemented
77	C₃×#535	C₂²	1	1	yes	characteristic, complemented
78	C₃×#534	—	2	1	no	—
79	C₃×#525	—	2	1	no	—
80	C₃×#525	C₂²	1	1	yes	characteristic
81	C₃×#525	C₂²	1	1	yes	characteristic, complemented
82	C₂×C₃×#121	—	2	1	no	—
83	C₂×C₃×#121	C₂²	1	1	yes	characteristic, complemented
84	C₂×C₃×#121	C₂²	1	1	yes	characteristic, complemented
85	C₃×#520	C₂²	1	1	yes	characteristic, complemented
86	C₃×#496	C₂²	1	1	yes	characteristic, complemented
87	C₃×#496	C₂²	1	1	yes	characteristic, complemented
88	C₃×#495	C₂²	1	1	yes	characteristic, complemented
89	C₃×#493	C₂²	1	1	yes	characteristic, complemented
90	C₃×#490	C₂²	1	1	yes	characteristic, complemented
91	C₃×#489	C₂²	1	1	yes	characteristic, complemented
92	C₃×#488	C₂²	1	1	yes	characteristic, complemented
93	C₃×#486	C₂²	1	1	yes	characteristic, complemented
94	C₃×#485	C₂²	1	1	yes	characteristic, complemented
95	C₃×#483	C₂²	1	1	yes	characteristic, complemented
96	C₃×#483	C₂²	1	1	yes	characteristic, complemented
97	C₃×#482	C₂²	1	1	yes	characteristic, complemented
98	C₃×#482	C₂²	1	1	yes	characteristic, complemented
99	C₃×#482	C₂²	1	1	yes	characteristic, complemented
100	C₃×#481	C₂²	1	1	yes	characteristic, complemented
101	C₃×#481	C₂²	1	1	yes	characteristic, complemented
102	C₃×#481	C₂²	1	1	yes	characteristic, complemented
103	C₃×#481	C₂²	1	1	yes	characteristic, complemented
104	C₃×#481	C₂²	1	1	yes	characteristic, complemented
105	C₃×#480	C₂²	1	1	yes	characteristic, complemented
106	C₃×#479	C₂²	1	1	yes	characteristic, complemented
107	C₃×#478	C₂²	1	1	yes	characteristic, complemented
108	C₃×#476	C₂²	1	1	yes	characteristic, complemented
109	C₃×#475	C₂²	1	1	yes	characteristic, complemented
110	C₃×#470	C₂²	1	1	yes	characteristic, complemented
111	C₃×#469	C₂²	1	1	yes	characteristic, complemented
112	C₃×#469	C₂²	1	1	yes	characteristic, complemented
113	C₃×#469	C₂²	1	1	yes	characteristic, complemented
114	C₃×#469	C₂²	1	1	yes	characteristic, complemented
115	C₃×#469	C₂²	1	1	yes	characteristic, complemented
116	C₃×#469	C₂²	1	1	yes	characteristic, complemented
117	C₃×#469	C₂²	1	1	yes	characteristic, complemented
118	C₃×#469	C₂²	1	1	yes	characteristic, complemented
119	C₃×#468	C₂²	1	1	yes	characteristic, complemented
120	C₃×#468	C₂²	1	1	yes	characteristic, complemented
121	C₃×#468	C₂²	1	1	yes	characteristic, complemented
122	C₃×#466	C₂²	1	1	yes	characteristic, complemented
123	C₃×#465	C₂²	1	1	yes	characteristic, complemented
124	C₃×#465	C₂²	1	1	yes	characteristic, complemented
125	C₃×#465	C₂²	1	1	yes	characteristic, complemented
126	C₃×#464	C₂²	1	1	yes	characteristic, complemented
127	C₃×#464	C₂²	1	1	yes	characteristic, complemented
128	C₃×#463	C₂²	1	1	yes	characteristic, complemented
129	C₃×#463	C₂²	1	1	yes	characteristic, complemented
130	C₃×#463	C₂²	1	1	yes	characteristic, complemented
131	C₃×#463	C₂²	1	1	yes	characteristic, complemented
132	C₃×#460	C₂²	1	1	yes	characteristic, complemented
133	C₃×#460	C₂²	1	1	yes	characteristic, complemented
134	C₃×#459	C₂²	1	1	yes	characteristic, complemented
135	C₃×#459	C₂²	1	1	yes	characteristic, complemented
136	C₃×#459	C₂²	1	1	yes	characteristic, complemented
137	C₃×#459	C₂²	1	1	yes	characteristic, complemented
138	C₃×#452	C₂²	1	1	yes	characteristic, complemented
139	C₃×#452	C₂²	1	1	yes	characteristic, complemented
140	C₃×#452	C₂²	1	1	yes	characteristic, complemented
141	C₃×#452	C₂²	1	1	yes	characteristic, complemented
142	C₃×#452	C₂²	1	1	yes	characteristic, complemented
143	C₃×#452	C₂²	1	1	yes	characteristic, complemented
144	C₃×#450	C₂²	1	1	yes	characteristic, complemented
145	C₃×#450	C₂²	1	1	yes	characteristic, complemented
146	C₃×#450	C₂²	1	1	yes	characteristic, complemented
147	C₃×#449	C₂²	1	1	yes	characteristic
148	C₃×#449	C₂²	1	1	yes	characteristic, complemented
149	C₃×#449	C₂²	1	1	yes	characteristic, complemented
150	C₃×#449	C₂²	1	1	yes	characteristic, complemented
151	C₃×#449	C₂²	1	1	yes	characteristic, complemented
152	C₃×#449	C₂²	1	1	yes	characteristic, complemented
153	C₃×#449	C₂²	1	1	yes	characteristic, complemented
154	C₃×#449	C₂²	1	1	yes	characteristic, complemented
155	C₃×#449	C₂²	1	1	yes	characteristic, complemented
156	C₃×#449	C₂²	1	1	yes	characteristic, complemented
157	C₃×#449	C₂²	1	1	yes	characteristic, complemented
158	C₃×#449	C₂²	1	1	yes	characteristic, complemented
159	C₃×#449	C₂²	1	1	yes	characteristic, complemented
160	C₃×#449	C₂²	1	1	yes	characteristic, complemented
161	C₃×#448	C₂²	1	1	yes	characteristic, complemented
162	C₃×#448	C₂²	1	1	yes	characteristic, complemented
163	C₃×#447	C₂²	1	1	yes	characteristic, complemented
164	C₃×#447	C₂²	1	1	yes	characteristic, complemented
165	C₃×#447	C₂²	1	1	yes	characteristic, complemented
166	C₃×#447	C₂²	1	1	yes	characteristic, complemented
167	C₃×#447	C₂²	1	1	yes	characteristic, complemented
168	C₃×#447	C₂²	1	1	yes	characteristic, complemented
169	C₃×#447	C₂²	1	1	yes	characteristic, complemented
170	C₃×#447	C₂²	1	1	yes	characteristic, complemented
171	C₃×#447	C₂²	1	1	yes	characteristic, complemented
172	C₃×#447	C₂²	1	1	yes	characteristic, complemented
173	C₃×#447	C₂²	1	1	yes	characteristic, complemented
174	C₃×#442	C₂²	1	1	yes	characteristic, complemented
175	C₃×#442	C₂²	1	1	yes	characteristic, complemented
176	C₃×#441	C₂²	1	1	yes	characteristic, complemented
177	C₃×#440	C₂²	1	1	yes	characteristic, complemented
178	C₃×C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
179	C₃×C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
180	C₃×C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
181	C₃×C₄×D₈	C₂²	1	1	yes	characteristic, complemented
182	C₃×#436	C₂²	1	1	yes	characteristic, complemented
183	C₃×#436	C₂²	1	1	yes	characteristic, complemented
184	C₃×#436	C₂²	1	1	yes	characteristic, complemented
185	C₃×#436	C₂²	1	1	yes	characteristic, complemented
186	C₃×#435	C₂²	1	1	yes	characteristic, complemented
187	C₃×#435	C₂²	1	1	yes	characteristic, complemented
188	C₃×#435	C₂²	1	1	yes	characteristic, complemented
189	C₃×#435	C₂²	1	1	yes	characteristic, complemented
190	C₃×#433	C₂²	1	1	yes	characteristic, complemented
191	C₃×#433	C₂²	1	1	yes	characteristic, complemented
192	C₃×#419	C₂²	1	1	yes	characteristic, complemented
193	C₃×#418	C₂²	1	1	yes	characteristic, complemented
194	C₃×#418	C₂²	1	1	yes	characteristic, complemented
195	C₃×#417	C₂²	1	1	yes	characteristic, complemented
196	C₃×#417	C₂²	1	1	yes	characteristic, complemented
197	C₃×#417	C₂²	1	1	yes	characteristic, complemented
198	C₃×#416	C₂²	1	1	yes	characteristic, complemented
199	C₂×C₃×#102	C₂²	1	1	yes	characteristic, complemented
200	C₃×#408	C₂²	1	1	yes	characteristic, complemented
201	C₃×#408	C₂²	1	1	yes	characteristic, complemented
202	C₃×#407	C₂²	1	1	yes	characteristic, complemented
203	C₃×#407	C₂²	1	1	yes	characteristic, complemented
204	#3542	C₂×C₃	1	1	yes	characteristic, complemented
205	#3488	C₂×C₃	1	1	yes	characteristic, complemented
206	#3332	C₂×C₃	1	1	yes	characteristic, complemented
207	#3326	C₂×C₃	1	1	yes	characteristic, complemented
208	#3325	C₂×C₃	1	1	yes	characteristic, complemented
209	#3323	C₂×C₃	1	1	yes	characteristic, complemented
210	#3321	C₂×C₃	1	1	yes	characteristic, complemented
211	#3318	C₂×C₃	1	1	yes	characteristic, complemented
212	#3317	C₂×C₃	1	1	yes	characteristic, complemented
213	#3306	C₂×C₃	1	1	yes	characteristic, complemented
214	#3275	C₂×C₃	1	1	yes	characteristic, complemented
215	#3274	C₂×C₃	1	1	yes	characteristic, complemented
216	#3274	C₂×C₃	1	1	yes	characteristic, complemented
217	#3273	C₂×C₃	1	1	yes	characteristic, complemented
218	#3271	C₂×C₃	1	1	yes	characteristic, complemented
219	#3268	C₂×C₃	1	1	yes	characteristic, complemented
220	#3264	C₂×C₃	1	1	yes	characteristic, complemented
221	#3264	C₂×C₃	1	1	yes	characteristic, complemented
222	#3224	C₂×C₃	1	1	yes	characteristic, complemented
223	#3220	C₂×C₃	1	1	yes	characteristic, complemented
224	#3204	C₂×C₃	1	1	yes	characteristic, complemented
225	#3198	C₂×C₃	1	1	yes	characteristic, complemented
226	#3194	C₂×C₃	1	1	yes	characteristic, complemented
227	#3192	C₂×C₃	1	1	yes	characteristic, complemented
228	#3125	C₂×C₃	1	1	yes	characteristic, complemented
229	#3119	C₂×C₃	1	1	yes	characteristic, complemented
230	#3012	C₂×C₃	1	1	yes	characteristic, complemented
231	#3008	C₂×C₃	1	1	yes	characteristic, complemented
232	#3006	C₂×C₃	1	1	yes	characteristic, complemented
233	#3005	C₂×C₃	1	1	yes	characteristic, complemented
234	#2978	C₂×C₃	1	1	yes	characteristic, complemented
235	C₃×H(5,𝔽₂)	—	4	2	no	—
236	C₃×H(5,𝔽₂)	—	4	2	no	—
237	C₂×C₃×#41	—	2	1	no	—
238	C₂×C₃×#41	—	2	1	no	—
239	C₂×C₃×#41	—	2	1	no	—
240	C₂×C₃×#41	—	2	1	no	—
241	C₂×C₃×#41	—	4	2	no	—
242	C₂×C₃×#41	—	4	2	no	—
243	C₂×C₃×#41	C₂³	1	1	yes	characteristic
244	C₂×C₃×#41	C₂³	1	1	yes	characteristic
245	C₂×C₃×#41	C₂³	1	1	yes	characteristic
246	C₂×C₃×#41	C₂³	1	1	yes	characteristic
247	C₂×C₃×#41	C₂³	1	1	yes	characteristic
248	C₂×C₃×#41	C₂³	1	1	yes	characteristic
249	C₂×C₃×#41	C₂³	1	1	yes	characteristic
250	C₂×C₃×#41	C₂³	1	1	yes	characteristic
251	C₂×C₃×#41	C₂³	1	1	yes	characteristic
252	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
253	C₂²×C₃×D₄	—	2	1	no	—
254	C₂²×C₃×D₄	—	2	1	no	—
255	C₂²×C₃×D₄	—	2	1	no	—
256	C₂²×C₃×D₄	—	2	1	no	—
257	C₂²×C₃×D₄	—	2	1	no	—
258	C₂²×C₃×D₄	—	2	1	no	—
259	C₂²×C₃×D₄	—	2	1	no	—
260	C₂²×C₃×D₄	—	2	1	no	—
261	C₂²×C₃×D₄	—	2	1	no	—
262	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
263	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
264	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
265	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
266	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
267	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
268	C₂³×C₃×C₄	—	2	1	no	—
269	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
270	C₃×#137	—	4	2	no	—
271	C₃×AGL(1,ℤ/8)	—	4	2	no	—
272	C₃×AGL(1,ℤ/8)	—	4	2	no	—
273	C₃×AGL(1,ℤ/8)	—	4	2	no	—
274	C₃×AGL(1,ℤ/8)	—	4	2	no	—
275	C₃×AGL(1,ℤ/8)	—	4	2	no	—
276	C₃×#135	—	4	2	no	—
277	C₂×C₃×Q₁₆	C₂³	1	1	yes	characteristic
278	C₂×C₃×Q₁₆	C₂³	1	1	yes	characteristic
279	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
280	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
281	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
282	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
283	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
284	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
285	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
286	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
287	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
288	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
289	C₂×C₃×D₈	—	4	2	no	—
290	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
291	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
292	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
293	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
294	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
295	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
296	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
297	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
298	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
299	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
300	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
301	C₂×C₃×D₈	C₂³	1	1	yes	characteristic
302	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
303	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
304	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
305	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
306	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
307	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
308	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
309	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
310	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
311	C₃×#127	—	2	1	no	—
312	C₃×#127	—	2	1	no	—
313	C₃×#127	—	2	1	no	—
314	C₃×#127	—	2	1	no	—
315	C₃×#127	C₂³	1	1	yes	characteristic
316	C₃×#127	C₂³	1	1	yes	characteristic
317	C₃×#127	C₂³	1	1	yes	characteristic
318	C₃×#126	—	2	1	no	—
319	C₃×#126	—	2	1	no	—
320	C₃×#126	—	2	1	no	—
321	C₃×#125	—	2	1	no	—
322	C₃×#125	C₂³	1	1	yes	characteristic
323	C₃×#124	—	2	1	no	—
324	C₃×#124	—	2	1	no	—
325	C₃×#124	—	2	1	no	—
326	C₃×#124	—	2	1	no	—
327	C₃×#124	—	2	1	no	—
328	C₃×#124	—	2	1	no	—
329	C₃×#124	C₂³	1	1	yes	characteristic
330	C₃×#124	C₂³	1	1	yes	characteristic
331	C₃×#124	C₂³	1	1	yes	characteristic
332	C₃×#123	—	2	1	no	—
333	C₃×#123	—	2	1	no	—
334	C₃×#123	—	2	1	no	—
335	C₃×#123	—	2	1	no	—
336	C₃×#123	—	2	1	no	—
337	C₃×#123	—	2	1	no	—
338	C₃×#123	—	2	1	no	—
339	C₃×#123	—	2	1	no	—
340	C₃×#123	—	2	1	no	—
341	C₃×#123	—	2	1	no	—
342	C₃×#123	—	2	1	no	—
343	C₃×#123	—	2	1	no	—
344	C₃×#123	D₄	1	1	yes	characteristic
345	C₃×#123	D₄	1	1	yes	characteristic
346	C₃×C₂²⋊Q₈	—	2	1	no	—
347	C₃×C₂²⋊Q₈	—	2	1	no	—
348	C₃×C₂²⋊Q₈	—	2	1	no	—
349	C₃×C₂²⋊Q₈	—	2	1	no	—
350	C₃×C₂²⋊Q₈	—	2	1	no	—
351	C₃×C₂²⋊Q₈	—	2	1	no	—
352	C₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
353	C₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
354	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
355	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
356	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
357	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
358	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
359	C₃×#121	—	2	1	no	—
360	C₃×#121	—	2	1	no	—
361	C₃×#121	—	2	1	no	—
362	C₃×#121	—	2	1	no	—
363	C₃×#121	—	2	1	no	—
364	C₃×#121	—	2	1	no	—
365	C₃×#121	—	2	1	no	—
366	C₃×#121	—	2	1	no	—
367	C₃×#121	—	2	1	no	—
368	C₃×#121	—	2	1	no	—
369	C₃×#121	—	2	1	no	—
370	C₃×#121	—	2	1	no	—
371	C₃×#121	—	2	1	no	—
372	C₃×#121	—	2	1	no	—
373	C₃×#121	—	2	1	no	—
374	C₃×#121	—	2	1	no	—
375	C₃×#121	—	2	1	no	—
376	C₃×#121	—	2	1	no	—
377	C₃×#121	—	2	1	no	—
378	C₃×#121	—	2	1	no	—
379	C₃×#121	—	2	1	no	—
380	C₃×#121	—	2	1	no	—
381	C₃×#121	—	2	1	no	—
382	C₃×#121	—	2	1	no	—
383	C₃×#121	—	2	1	no	—
384	C₃×#121	—	2	1	no	—
385	C₃×#121	—	2	1	no	—
386	C₃×#121	—	2	1	no	—
387	C₃×#121	—	2	1	no	—
388	C₃×#121	—	2	1	no	—
389	C₃×#121	—	2	1	no	—
390	C₃×#121	D₄	1	1	yes	characteristic
391	C₃×#121	D₄	1	1	yes	characteristic
392	C₃×#121	C₂³	1	1	yes	characteristic
393	C₃×#121	C₂³	1	1	yes	characteristic
394	C₃×#121	C₂³	1	1	yes	characteristic
395	C₃×#121	C₂³	1	1	yes	characteristic
396	C₃×#121	C₂³	1	1	yes	characteristic
397	C₃×#121	C₂³	1	1	yes	characteristic
398	C₃×#121	C₂³	1	1	yes	characteristic
399	C₃×#121	C₂³	1	1	yes	characteristic
400	C₃×#121	C₂³	1	1	yes	characteristic
401	C₃×#121	C₂³	1	1	yes	characteristic
402	C₃×#121	C₂³	1	1	yes	characteristic
403	C₃×#121	C₂³	1	1	yes	characteristic
404	C₃×#121	C₂³	1	1	yes	characteristic
405	C₃×#121	C₂³	1	1	yes	characteristic
406	C₃×#121	C₂³	1	1	yes	characteristic
407	C₃×#120	—	2	1	no	—
408	C₃×#120	—	2	1	no	—
409	C₃×#120	—	2	1	no	—
410	C₃×#120	—	2	1	no	—
411	C₃×#120	—	2	1	no	—
412	C₃×#120	—	2	1	no	—
413	C₃×#120	—	2	1	no	—
414	C₃×#120	—	2	1	no	—
415	C₃×#120	—	2	1	no	—
416	C₃×#120	—	2	1	no	—
417	C₃×#120	—	2	1	no	—
418	C₃×#120	—	2	1	no	—
419	C₃×#120	—	2	1	no	—
420	C₃×#120	—	2	1	no	—
421	C₃×#120	—	2	1	no	—
422	C₃×#120	D₄	1	1	yes	characteristic
423	C₃×#120	D₄	1	1	yes	characteristic
424	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
425	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
426	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
427	C₃×C₄×D₄	—	2	1	no	—
428	C₃×C₄×D₄	—	2	1	no	—
429	C₃×C₄×D₄	—	2	1	no	—
430	C₃×C₄×D₄	—	2	1	no	—
431	C₃×C₄×D₄	—	2	1	no	—
432	C₃×C₄×D₄	—	2	1	no	—
433	C₃×C₄×D₄	—	2	1	no	—
434	C₃×C₄×D₄	—	2	1	no	—
435	C₃×C₄×D₄	—	2	1	no	—
436	C₃×C₄×D₄	—	2	1	no	—
437	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
438	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
439	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
440	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
441	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
442	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
443	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
444	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
445	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
446	C₃×#117	—	2	1	no	—
447	C₃×#117	—	2	1	no	—
448	C₃×#117	—	2	1	no	—
449	C₃×#117	C₂³	1	1	yes	characteristic
450	C₃×#117	C₂³	1	1	yes	characteristic
451	C₃×#117	C₂³	1	1	yes	characteristic
452	C₂×C₃×C₄⋊C₄	—	2	1	no	—
453	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
454	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
455	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
456	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
457	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
458	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
459	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
460	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
461	C₂×C₃×C₂²⋊C₄	—	2	1	no	—
462	C₃×#107	C₂³	1	1	yes	characteristic
463	C₃×#107	C₂³	1	1	yes	characteristic
464	C₃×#106	C₂³	1	1	yes	characteristic
465	C₃×#106	C₂³	1	1	yes	characteristic
466	C₃×#106	C₂³	1	1	yes	characteristic
467	C₃×#106	C₂³	1	1	yes	characteristic
468	C₃×#106	C₂³	1	1	yes	characteristic
469	C₃×#106	C₂³	1	1	yes	characteristic
470	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
471	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
472	C₃×C₄⋊C₈	C₂³	1	1	yes	characteristic
473	C₃×C₄⋊C₈	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×#102	C₂³	1	1	yes	characteristic
495	C₃×#102	C₂³	1	1	yes	characteristic
496	C₃×#102	C₂³	1	1	yes	characteristic
497	C₃×#102	C₂³	1	1	yes	characteristic
498	C₃×#102	C₂³	1	1	yes	characteristic
499	C₃×#102	C₂³	1	1	yes	characteristic
500	C₃×#102	C₂³	1	1	yes	characteristic
501	C₃×#102	C₂³	1	1	yes	characteristic
502	C₃×#102	C₂³	1	1	yes	characteristic
503	C₃×#102	C₂³	1	1	yes	characteristic
504	C₃×#102	C₂³	1	1	yes	characteristic
505	C₃×#102	C₂³	1	1	yes	characteristic
506	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
507	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
508	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
509	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
510	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
511	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
512	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
513	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
514	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
515	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
516	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
517	C₃×C₂²⋊C₈	C₂³	1	1	yes	characteristic
518	C₃×#97	C₂³	1	1	yes	characteristic
519	C₃×#97	C₂³	1	1	yes	characteristic
520	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
521	C₃×C₄×C₈	C₂³	1	1	yes	characteristic
522	C₂×H(5,𝔽₂)	C₂²×C₃	1	1	yes	characteristic, complemented
523	C₂²×#41	C₂²×C₃	1	1	yes	characteristic, complemented
524	C₂×#137	C₂²×C₃	1	1	yes	characteristic, complemented
525	C₂×AGL(1,ℤ/8)	C₂²×C₃	1	1	yes	characteristic, complemented
526	C₂×AGL(1,ℤ/8)	C₂²×C₃	1	1	yes	characteristic, complemented
527	C₂×AGL(1,ℤ/8)	C₂²×C₃	1	1	yes	characteristic, complemented
528	C₂×AGL(1,ℤ/8)	C₂²×C₃	1	1	yes	characteristic, complemented
529	C₂×AGL(1,ℤ/8)	C₂²×C₃	1	1	yes	characteristic, complemented
530	C₂×#135	C₂²×C₃	1	1	yes	characteristic, complemented
531	C₂²×D₈	C₂²×C₃	1	1	yes	characteristic, complemented
532	#562	—	2	1	no	—
533	#560	—	2	1	no	—
534	#555	C₂²×C₃	1	1	yes	characteristic, complemented
535	#553	C₂²×C₃	1	1	yes	characteristic, complemented
536	#552	C₂²×C₃	1	1	yes	characteristic, complemented
537	#551	—	2	1	no	—
538	#550	C₂²×C₃	1	1	yes	characteristic
539	#550	C₂²×C₃	1	1	yes	characteristic, complemented
540	#550	C₂²×C₃	1	1	yes	characteristic, complemented
541	#548	C₂²×C₃	1	1	yes	characteristic, complemented
542	#548	C₂²×C₃	1	1	yes	characteristic, complemented
543	#547	C₂²×C₃	1	1	yes	characteristic, complemented
544	#546	—	2	1	no	—
545	#546	—	2	1	no	—
546	#546	—	2	1	no	—
547	#546	C₂²×C₃	1	1	yes	characteristic
548	#546	C₂²×C₃	1	1	yes	characteristic, complemented
549	#546	C₂²×C₃	1	1	yes	characteristic, complemented
550	#546	C₂²×C₃	1	1	yes	characteristic, complemented
551	D₄²	—	2	1	no	—
552	D₄²	—	2	1	no	—
553	D₄²	C₂²×C₃	1	1	yes	characteristic, complemented
554	D₄²	C₂²×C₃	1	1	yes	characteristic, complemented
555	D₄²	C₂²×C₃	1	1	yes	characteristic, complemented
556	#542	C₂²×C₃	1	1	yes	characteristic, complemented
557	#540	—	2	1	no	—
558	#540	C₂²×C₃	1	1	yes	characteristic, complemented
559	#538	—	2	1	no	—
560	#537	—	2	1	no	—
561	#537	C₂²×C₃	1	1	yes	characteristic, complemented
562	#537	C₂²×C₃	1	1	yes	characteristic, complemented
563	#535	—	2	1	no	—
564	#535	—	2	1	no	—
565	#535	C₂²×C₃	1	1	yes	characteristic, complemented
566	#535	C₂²×C₃	1	1	yes	characteristic, complemented
567	#534	—	2	1	no	—
568	#525	—	2	1	no	—
569	#525	C₂²×C₃	1	1	yes	characteristic
570	#525	C₂²×C₃	1	1	yes	characteristic, complemented
571	C₂×#121	—	2	1	no	—
572	C₂×#121	C₂²×C₃	1	1	yes	characteristic, complemented
573	C₂×#121	C₂²×C₃	1	1	yes	characteristic, complemented
574	#520	C₂²×C₃	1	1	yes	characteristic, complemented
575	#496	C₂²×C₃	1	1	yes	characteristic, complemented
576	#496	C₂²×C₃	1	1	yes	characteristic, complemented
577	#495	C₂²×C₃	1	1	yes	characteristic, complemented
578	#493	C₂²×C₃	1	1	yes	characteristic, complemented
579	#490	C₂²×C₃	1	1	yes	characteristic, complemented
580	#489	C₂²×C₃	1	1	yes	characteristic, complemented
581	#488	C₂²×C₃	1	1	yes	characteristic, complemented
582	#486	C₂²×C₃	1	1	yes	characteristic, complemented
583	#485	C₂²×C₃	1	1	yes	characteristic, complemented
584	#483	C₂²×C₃	1	1	yes	characteristic, complemented
585	#483	C₂²×C₃	1	1	yes	characteristic, complemented
586	#482	C₂²×C₃	1	1	yes	characteristic, complemented
587	#482	C₂²×C₃	1	1	yes	characteristic, complemented
588	#482	C₂²×C₃	1	1	yes	characteristic, complemented
589	#481	C₂²×C₃	1	1	yes	characteristic, complemented
590	#481	C₂²×C₃	1	1	yes	characteristic, complemented
591	#481	C₂²×C₃	1	1	yes	characteristic, complemented
592	#481	C₂²×C₃	1	1	yes	characteristic, complemented
593	#481	C₂²×C₃	1	1	yes	characteristic, complemented
594	#480	C₂²×C₃	1	1	yes	characteristic, complemented
595	#479	C₂²×C₃	1	1	yes	characteristic, complemented
596	#478	C₂²×C₃	1	1	yes	characteristic, complemented
597	#476	C₂²×C₃	1	1	yes	characteristic, complemented
598	#475	C₂²×C₃	1	1	yes	characteristic, complemented
599	#470	C₂²×C₃	1	1	yes	characteristic, complemented
600	#469	C₂²×C₃	1	1	yes	characteristic, complemented
601	#469	C₂²×C₃	1	1	yes	characteristic, complemented
602	#469	C₂²×C₃	1	1	yes	characteristic, complemented
603	#469	C₂²×C₃	1	1	yes	characteristic, complemented
604	#469	C₂²×C₃	1	1	yes	characteristic, complemented
605	#469	C₂²×C₃	1	1	yes	characteristic, complemented
606	#469	C₂²×C₃	1	1	yes	characteristic, complemented
607	#469	C₂²×C₃	1	1	yes	characteristic, complemented
608	#468	C₂²×C₃	1	1	yes	characteristic, complemented
609	#468	C₂²×C₃	1	1	yes	characteristic, complemented
610	#468	C₂²×C₃	1	1	yes	characteristic, complemented
611	#466	C₂²×C₃	1	1	yes	characteristic, complemented
612	#465	C₂²×C₃	1	1	yes	characteristic, complemented
613	#465	C₂²×C₃	1	1	yes	characteristic, complemented
614	#465	C₂²×C₃	1	1	yes	characteristic, complemented
615	#464	C₂²×C₃	1	1	yes	characteristic, complemented
616	#464	C₂²×C₃	1	1	yes	characteristic, complemented
617	#463	C₂²×C₃	1	1	yes	characteristic, complemented
618	#463	C₂²×C₃	1	1	yes	characteristic, complemented
619	#463	C₂²×C₃	1	1	yes	characteristic, complemented
620	#463	C₂²×C₃	1	1	yes	characteristic, complemented
621	#460	C₂²×C₃	1	1	yes	characteristic, complemented
622	#460	C₂²×C₃	1	1	yes	characteristic, complemented
623	#459	C₂²×C₃	1	1	yes	characteristic, complemented
624	#459	C₂²×C₃	1	1	yes	characteristic, complemented
625	#459	C₂²×C₃	1	1	yes	characteristic, complemented
626	#459	C₂²×C₃	1	1	yes	characteristic, complemented
627	#452	C₂²×C₃	1	1	yes	characteristic, complemented
628	#452	C₂²×C₃	1	1	yes	characteristic, complemented
629	#452	C₂²×C₃	1	1	yes	characteristic, complemented
630	#452	C₂²×C₃	1	1	yes	characteristic, complemented
631	#452	C₂²×C₃	1	1	yes	characteristic, complemented
632	#452	C₂²×C₃	1	1	yes	characteristic, complemented
633	#450	C₂²×C₃	1	1	yes	characteristic, complemented
634	#450	C₂²×C₃	1	1	yes	characteristic, complemented
635	#450	C₂²×C₃	1	1	yes	characteristic, complemented
636	#449	C₂²×C₃	1	1	yes	characteristic
637	#449	C₂²×C₃	1	1	yes	characteristic, complemented
638	#449	C₂²×C₃	1	1	yes	characteristic, complemented
639	#449	C₂²×C₃	1	1	yes	characteristic, complemented
640	#449	C₂²×C₃	1	1	yes	characteristic, complemented
641	#449	C₂²×C₃	1	1	yes	characteristic, complemented
642	#449	C₂²×C₃	1	1	yes	characteristic, complemented
643	#449	C₂²×C₃	1	1	yes	characteristic, complemented
644	#449	C₂²×C₃	1	1	yes	characteristic, complemented
645	#449	C₂²×C₃	1	1	yes	characteristic, complemented
646	#449	C₂²×C₃	1	1	yes	characteristic, complemented
647	#449	C₂²×C₃	1	1	yes	characteristic, complemented
648	#449	C₂²×C₃	1	1	yes	characteristic, complemented
649	#449	C₂²×C₃	1	1	yes	characteristic, complemented
650	#448	C₂²×C₃	1	1	yes	characteristic, complemented
651	#448	C₂²×C₃	1	1	yes	characteristic, complemented
652	#447	C₂²×C₃	1	1	yes	characteristic, complemented
653	#447	C₂²×C₃	1	1	yes	characteristic, complemented
654	#447	C₂²×C₃	1	1	yes	characteristic, complemented
655	#447	C₂²×C₃	1	1	yes	characteristic, complemented
656	#447	C₂²×C₃	1	1	yes	characteristic, complemented
657	#447	C₂²×C₃	1	1	yes	characteristic, complemented
658	#447	C₂²×C₃	1	1	yes	characteristic, complemented
659	#447	C₂²×C₃	1	1	yes	characteristic, complemented
660	#447	C₂²×C₃	1	1	yes	characteristic, complemented
661	#447	C₂²×C₃	1	1	yes	characteristic, complemented
662	#447	C₂²×C₃	1	1	yes	characteristic, complemented
663	#442	C₂²×C₃	1	1	yes	characteristic, complemented
664	#442	C₂²×C₃	1	1	yes	characteristic, complemented
665	#441	C₂²×C₃	1	1	yes	characteristic, complemented
666	#440	C₂²×C₃	1	1	yes	characteristic, complemented
667	C₄×SD₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
668	C₄×SD₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
669	C₄×SD₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
670	C₄×D₈	C₂²×C₃	1	1	yes	characteristic, complemented
671	#436	C₂²×C₃	1	1	yes	characteristic, complemented
672	#436	C₂²×C₃	1	1	yes	characteristic, complemented
673	#436	C₂²×C₃	1	1	yes	characteristic, complemented
674	#436	C₂²×C₃	1	1	yes	characteristic, complemented
675	#435	C₂²×C₃	1	1	yes	characteristic, complemented
676	#435	C₂²×C₃	1	1	yes	characteristic, complemented
677	#435	C₂²×C₃	1	1	yes	characteristic, complemented
678	#435	C₂²×C₃	1	1	yes	characteristic, complemented
679	#433	C₂²×C₃	1	1	yes	characteristic, complemented
680	#433	C₂²×C₃	1	1	yes	characteristic, complemented
681	#419	C₂²×C₃	1	1	yes	characteristic, complemented
682	#418	C₂²×C₃	1	1	yes	characteristic, complemented
683	#418	C₂²×C₃	1	1	yes	characteristic, complemented
684	#417	C₂²×C₃	1	1	yes	characteristic, complemented
685	#417	C₂²×C₃	1	1	yes	characteristic, complemented
686	#417	C₂²×C₃	1	1	yes	characteristic, complemented
687	#416	C₂²×C₃	1	1	yes	characteristic, complemented
688	C₂×#102	C₂²×C₃	1	1	yes	characteristic, complemented
689	#408	C₂²×C₃	1	1	yes	characteristic, complemented
690	#408	C₂²×C₃	1	1	yes	characteristic, complemented
691	#407	C₂²×C₃	1	1	yes	characteristic, complemented
692	#407	C₂²×C₃	1	1	yes	characteristic, complemented
693	C₂⁴×C₃	—	2	1	no	—
694	C₂⁴×C₃	—	2	1	no	—
695	C₂⁴×C₃	—	2	1	no	—
696	C₂⁴×C₃	—	2	1	no	—
697	C₂⁴×C₃	—	2	1	no	—
698	C₂⁴×C₃	—	2	1	no	—
699	C₂⁴×C₃	C₂×D₄	1	1	yes	characteristic
700	C₃×#41	—	2	2	no	—
701	C₃×#41	—	2	2	no	—
702	C₃×#41	—	2	2	no	—
703	C₃×#41	—	2	2	no	—
704	C₃×#41	—	2	2	no	—
705	C₃×#41	—	2	2	no	—
706	C₃×#41	—	4	1	no	—
707	C₃×#41	—	4	1	no	—
708	C₃×#41	—	4	1	no	—
709	C₃×#41	—	4	1	no	—
710	C₃×#41	—	4	1	no	—
711	C₃×#41	—	4	1	no	—
712	C₃×#41	—	4	1	no	—
713	C₃×#41	—	4	1	no	—
714	C₃×#41	—	4	4	no	—
715	C₃×#41	—	4	4	no	—
716	C₃×#41	—	4	1	no	—
717	C₃×#41	—	4	1	no	—
718	C₃×#41	—	4	1	no	—
719	C₃×#41	—	4	1	no	—
720	C₃×#41	—	4	4	no	—
721	C₃×#41	—	8	2	no	—
722	C₂×C₃×Q₈	—	2	1	no	—
723	C₂×C₃×Q₈	—	2	1	no	—
724	C₂×C₃×Q₈	—	2	2	no	—
725	C₂×C₃×Q₈	—	4	1	no	—
726	C₂×C₃×Q₈	C₂×D₄	1	1	yes	characteristic
727	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
728	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
729	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
730	C₂×C₃×D₄	—	2	1	no	—
731	C₂×C₃×D₄	—	2	2	no	—
732	C₂×C₃×D₄	—	2	2	no	—
733	C₂×C₃×D₄	—	2	2	no	—
734	C₂×C₃×D₄	—	2	1	no	—
735	C₂×C₃×D₄	—	2	1	no	—
736	C₂×C₃×D₄	—	2	1	no	—
737	C₂×C₃×D₄	—	2	1	no	—
738	C₂×C₃×D₄	—	2	1	no	—
739	C₂×C₃×D₄	—	2	1	no	—
740	C₂×C₃×D₄	—	2	1	no	—
741	C₂×C₃×D₄	—	2	1	no	—
742	C₂×C₃×D₄	—	2	1	no	—
743	C₂×C₃×D₄	—	2	1	no	—
744	C₂×C₃×D₄	—	2	1	no	—
745	C₂×C₃×D₄	—	2	1	no	—
746	C₂×C₃×D₄	—	2	1	no	—
747	C₂×C₃×D₄	—	2	1	no	—
748	C₂×C₃×D₄	—	2	1	no	—
749	C₂×C₃×D₄	—	2	1	no	—
750	C₂×C₃×D₄	—	2	1	no	—
751	C₂×C₃×D₄	—	2	1	no	—
752	C₂×C₃×D₄	—	2	1	no	—
753	C₂×C₃×D₄	—	2	1	no	—
754	C₂×C₃×D₄	—	2	1	no	—
755	C₂×C₃×D₄	—	2	1	no	—
756	C₂×C₃×D₄	—	2	1	no	—
757	C₂×C₃×D₄	—	2	1	no	—
758	C₂×C₃×D₄	—	2	1	no	—
759	C₂×C₃×D₄	—	2	1	no	—
760	C₂×C₃×D₄	—	2	1	no	—
761	C₂×C₃×D₄	—	2	1	no	—
762	C₂×C₃×D₄	—	2	1	no	—
763	C₂×C₃×D₄	—	2	1	no	—
764	C₂×C₃×D₄	—	2	1	no	—
765	C₂×C₃×D₄	—	2	1	no	—
766	C₂×C₃×D₄	—	2	1	no	—
767	C₂×C₃×D₄	—	2	1	no	—
768	C₂×C₃×D₄	—	4	1	no	—
769	C₂×C₃×D₄	—	4	1	no	—
770	C₂×C₃×D₄	—	4	1	no	—
771	C₂×C₃×D₄	—	4	1	no	—
772	C₂×C₃×D₄	—	4	1	no	—
773	C₂×C₃×D₄	—	4	1	no	—
774	C₂×C₃×D₄	—	4	1	no	—
775	C₂×C₃×D₄	—	4	1	no	—
776	C₂×C₃×D₄	—	4	1	no	—
777	C₂×C₃×D₄	—	4	4	no	—
778	C₂×C₃×D₄	—	4	4	no	—
779	C₂×C₃×D₄	—	4	4	no	—
780	C₂×C₃×D₄	—	4	4	no	—
781	C₂×C₃×D₄	—	8	2	no	—
782	C₂×C₃×D₄	—	8	2	no	—
783	C₂×C₃×D₄	—	8	2	no	—
784	C₂×C₃×D₄	—	8	2	no	—
785	C₂×C₃×D₄	—	8	2	no	—
786	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
787	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
788	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
789	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
790	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
791	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
792	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
793	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
794	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
795	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
796	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
797	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
798	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
799	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
800	C₂²×C₃×C₄	—	2	1	no	—
801	C₂²×C₃×C₄	—	2	1	no	—
802	C₂²×C₃×C₄	—	2	1	no	—
803	C₂²×C₃×C₄	—	2	1	no	—
804	C₂²×C₃×C₄	—	2	1	no	—
805	C₂²×C₃×C₄	—	2	1	no	—
806	C₂²×C₃×C₄	—	2	1	no	—
807	C₂²×C₃×C₄	—	2	1	no	—
808	C₂²×C₃×C₄	—	2	1	no	—
809	C₂²×C₃×C₄	—	2	1	no	—
810	C₂²×C₃×C₄	—	2	1	no	—
811	C₂²×C₃×C₄	—	2	1	no	—
812	C₂²×C₃×C₄	—	2	1	no	—
813	C₂²×C₃×C₄	—	2	1	no	—
814	C₂²×C₃×C₄	—	2	1	no	—
815	C₂²×C₃×C₄	—	2	1	no	—
816	C₂²×C₃×C₄	—	2	1	no	—
817	C₂²×C₃×C₄	—	4	1	no	—
818	C₂²×C₃×C₄	—	4	1	no	—
819	C₂²×C₃×C₄	—	4	4	no	—
820	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
821	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
822	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
823	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
824	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
825	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
826	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
827	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
828	C₃×Q₁₆	—	2	2	no	—
829	C₃×Q₁₆	—	4	1	no	—
830	C₃×SD₁₆	—	2	2	no	—
831	C₃×SD₁₆	—	2	2	no	—
832	C₃×SD₁₆	—	2	2	no	—
833	C₃×SD₁₆	—	2	2	no	—
834	C₃×SD₁₆	—	4	1	no	—
835	C₃×SD₁₆	—	4	1	no	—
836	C₃×SD₁₆	—	4	1	no	—
837	C₃×SD₁₆	—	4	1	no	—
838	C₃×SD₁₆	—	4	1	no	—
839	C₃×SD₁₆	—	4	1	no	—
840	C₃×D₈	—	2	2	no	—
841	C₃×D₈	—	2	2	no	—
842	C₃×D₈	—	2	2	no	—
843	C₃×D₈	—	4	1	no	—
844	C₃×D₈	—	4	1	no	—
845	C₃×D₈	—	4	1	no	—
846	C₃×D₈	—	4	1	no	—
847	C₃×D₈	—	4	1	no	—
848	C₃×D₈	—	4	1	no	—
849	C₃×D₈	—	4	1	no	—
850	C₃×D₈	—	4	1	no	—
851	C₃×D₈	—	4	1	no	—
852	C₃×M₁₆	—	4	1	no	—
853	C₃×M₁₆	—	4	1	no	—
854	C₃×M₁₆	—	4	1	no	—
855	C₃×M₁₆	—	4	1	no	—
856	C₃×M₁₆	—	4	1	no	—
857	C₃×M₁₆	—	4	1	no	—
858	C₂×C₃×C₈	—	4	1	no	—
859	C₂×C₃×C₈	—	4	1	no	—
860	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
861	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
862	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
863	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
864	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
865	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
866	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
867	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
868	C₃×C₄⋊C₄	—	2	1	no	—
869	C₃×C₄⋊C₄	—	2	1	no	—
870	C₃×C₄⋊C₄	—	2	1	no	—
871	C₃×C₄⋊C₄	—	2	1	no	—
872	C₃×C₄⋊C₄	—	2	1	no	—
873	C₃×C₄⋊C₄	—	2	1	no	—
874	C₃×C₄⋊C₄	—	2	1	no	—
875	C₃×C₄⋊C₄	—	2	1	no	—
876	C₃×C₄⋊C₄	—	2	1	no	—
877	C₃×C₄⋊C₄	—	2	1	no	—
878	C₃×C₄⋊C₄	—	2	1	no	—
879	C₃×C₄⋊C₄	—	2	1	no	—
880	C₃×C₄⋊C₄	—	2	1	no	—
881	C₃×C₄⋊C₄	—	2	1	no	—
882	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
883	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
884	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
885	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
886	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
887	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
888	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
889	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
890	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
891	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
892	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
893	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
894	C₃×C₂²⋊C₄	—	2	1	no	—
895	C₃×C₂²⋊C₄	—	2	1	no	—
896	C₃×C₂²⋊C₄	—	2	1	no	—
897	C₃×C₂²⋊C₄	—	2	1	no	—
898	C₃×C₂²⋊C₄	—	2	1	no	—
899	C₃×C₂²⋊C₄	—	2	1	no	—
900	C₃×C₂²⋊C₄	—	2	1	no	—
901	C₃×C₂²⋊C₄	—	2	1	no	—
902	C₃×C₂²⋊C₄	—	2	1	no	—
903	C₃×C₂²⋊C₄	—	2	1	no	—
904	C₃×C₂²⋊C₄	—	2	1	no	—
905	C₃×C₂²⋊C₄	—	2	1	no	—
906	C₃×C₂²⋊C₄	—	2	1	no	—
907	C₃×C₂²⋊C₄	—	2	1	no	—
908	C₃×C₂²⋊C₄	—	2	1	no	—
909	C₃×C₂²⋊C₄	—	2	1	no	—
910	C₃×C₂²⋊C₄	—	2	1	no	—
911	C₃×C₂²⋊C₄	—	2	1	no	—
912	C₃×C₂²⋊C₄	—	2	1	no	—
913	C₃×C₂²⋊C₄	—	2	1	no	—
914	C₃×C₂²⋊C₄	—	2	1	no	—
915	C₃×C₂²⋊C₄	—	2	1	no	—
916	C₃×C₂²⋊C₄	—	2	1	no	—
917	C₃×C₂²⋊C₄	—	2	1	no	—
918	C₃×C₂²⋊C₄	—	2	1	no	—
919	C₃×C₂²⋊C₄	—	2	1	no	—
920	C₃×C₂²⋊C₄	—	2	1	no	—
921	C₃×C₂²⋊C₄	—	2	1	no	—
922	C₃×C₂²⋊C₄	—	2	1	no	—
923	C₃×C₂²⋊C₄	—	2	1	no	—
924	C₃×C₂²⋊C₄	—	2	1	no	—
925	C₃×C₂²⋊C₄	—	2	1	no	—
926	C₃×C₂²⋊C₄	—	2	1	no	—
927	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
928	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
929	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
930	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
931	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
932	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
933	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
934	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
935	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
936	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
937	C₃×C₄²	—	2	1	no	—
938	C₃×C₄²	—	2	1	no	—
939	C₃×C₄²	—	2	1	no	—
940	C₃×C₄²	—	2	1	no	—
941	C₃×C₄²	—	2	1	no	—
942	C₃×C₄²	C₂⁴	1	1	yes	characteristic
943	C₃×C₄²	C₂⁴	1	1	yes	characteristic
944	H(5,𝔽₂)	—	4	2	no	—
945	H(5,𝔽₂)	—	4	2	no	—
946	C₂×#41	—	2	1	no	—
947	C₂×#41	—	2	1	no	—
948	C₂×#41	—	2	1	no	—
949	C₂×#41	—	2	1	no	—
950	C₂×#41	—	4	2	no	—
951	C₂×#41	—	4	2	no	—
952	C₂×#41	C₂³×C₃	1	1	yes	characteristic
953	C₂×#41	C₂³×C₃	1	1	yes	characteristic
954	C₂×#41	C₂³×C₃	1	1	yes	characteristic
955	C₂×#41	C₂³×C₃	1	1	yes	characteristic
956	C₂×#41	C₂³×C₃	1	1	yes	characteristic
957	C₂×#41	C₂³×C₃	1	1	yes	characteristic
958	C₂×#41	C₂³×C₃	1	1	yes	characteristic
959	C₂×#41	C₂³×C₃	1	1	yes	characteristic
960	C₂×#41	C₂³×C₃	1	1	yes	characteristic
961	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
962	C₂²×D₄	—	2	1	no	—
963	C₂²×D₄	—	2	1	no	—
964	C₂²×D₄	—	2	1	no	—
965	C₂²×D₄	—	2	1	no	—
966	C₂²×D₄	—	2	1	no	—
967	C₂²×D₄	—	2	1	no	—
968	C₂²×D₄	—	2	1	no	—
969	C₂²×D₄	—	2	1	no	—
970	C₂²×D₄	—	2	1	no	—
971	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
972	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
973	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
974	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
975	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
976	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
977	C₂³×C₄	—	2	1	no	—
978	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
979	#137	—	4	2	no	—
980	AGL(1,ℤ/8)	—	4	2	no	—
981	AGL(1,ℤ/8)	—	4	2	no	—
982	AGL(1,ℤ/8)	—	4	2	no	—
983	AGL(1,ℤ/8)	—	4	2	no	—
984	AGL(1,ℤ/8)	—	4	2	no	—
985	#135	—	4	2	no	—
986	C₂×Q₁₆	C₂³×C₃	1	1	yes	characteristic
987	C₂×Q₁₆	C₂³×C₃	1	1	yes	characteristic
988	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
989	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
990	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
991	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
992	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
993	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
994	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
995	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
996	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
997	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
998	C₂×D₈	—	4	2	no	—
999	C₂×D₈	C₂³×C₃	1	1	yes	characteristic
1000	C₂×D₈	C₂³×C₃	1	1	yes	characteristic
1001	C₂×D₈	C₂³×C₃	1	1	yes	characteristic
1002	C₂×D₈	C₂³×C₃	1	1	yes	characteristic
1003	C₂×D₈	C₂³×C₃	1	1	yes	characteristic
1004	C₂×D₈	C₂³×C₃	1	1	yes	characteristic
1005	C₂×D₈	C₂³×C₃	1	1	yes	characteristic
1006	C₂×D₈	C₂³×C₃	1	1	yes	characteristic
1007	C₂×D₈	C₂³×C₃	1	1	yes	characteristic
1008	C₂×D₈	C₂³×C₃	1	1	yes	characteristic
1009	C₂×D₈	C₂³×C₃	1	1	yes	characteristic
1010	C₂×D₈	C₂³×C₃	1	1	yes	characteristic
1011	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
1012	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
1013	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
1014	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
1015	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
1016	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
1017	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
1018	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
1019	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1020	#127	—	2	1	no	—
1021	#127	—	2	1	no	—
1022	#127	—	2	1	no	—
1023	#127	—	2	1	no	—
1024	#127	C₂³×C₃	1	1	yes	characteristic
1025	#127	C₂³×C₃	1	1	yes	characteristic
1026	#127	C₂³×C₃	1	1	yes	characteristic
1027	#126	—	2	1	no	—
1028	#126	—	2	1	no	—
1029	#126	—	2	1	no	—
1030	#125	—	2	1	no	—
1031	#125	C₂³×C₃	1	1	yes	characteristic
1032	#124	—	2	1	no	—
1033	#124	—	2	1	no	—
1034	#124	—	2	1	no	—
1035	#124	—	2	1	no	—
1036	#124	—	2	1	no	—
1037	#124	—	2	1	no	—
1038	#124	C₂³×C₃	1	1	yes	characteristic
1039	#124	C₂³×C₃	1	1	yes	characteristic
1040	#124	C₂³×C₃	1	1	yes	characteristic
1041	#123	—	2	1	no	—
1042	#123	—	2	1	no	—
1043	#123	—	2	1	no	—
1044	#123	—	2	1	no	—
1045	#123	—	2	1	no	—
1046	#123	—	2	1	no	—
1047	#123	—	2	1	no	—
1048	#123	—	2	1	no	—
1049	#123	—	2	1	no	—
1050	#123	—	2	1	no	—
1051	#123	—	2	1	no	—
1052	#123	—	2	1	no	—
1053	#123	C₃×D₄	1	1	yes	characteristic
1054	#123	C₃×D₄	1	1	yes	characteristic
1055	C₂²⋊Q₈	—	2	1	no	—
1056	C₂²⋊Q₈	—	2	1	no	—
1057	C₂²⋊Q₈	—	2	1	no	—
1058	C₂²⋊Q₈	—	2	1	no	—
1059	C₂²⋊Q₈	—	2	1	no	—
1060	C₂²⋊Q₈	—	2	1	no	—
1061	C₂²⋊Q₈	C₃×D₄	1	1	yes	characteristic
1062	C₂²⋊Q₈	C₃×D₄	1	1	yes	characteristic
1063	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1064	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1065	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1066	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1067	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1068	#121	—	2	1	no	—
1069	#121	—	2	1	no	—
1070	#121	—	2	1	no	—
1071	#121	—	2	1	no	—
1072	#121	—	2	1	no	—
1073	#121	—	2	1	no	—
1074	#121	—	2	1	no	—
1075	#121	—	2	1	no	—
1076	#121	—	2	1	no	—
1077	#121	—	2	1	no	—
1078	#121	—	2	1	no	—
1079	#121	—	2	1	no	—
1080	#121	—	2	1	no	—
1081	#121	—	2	1	no	—
1082	#121	—	2	1	no	—
1083	#121	—	2	1	no	—
1084	#121	—	2	1	no	—
1085	#121	—	2	1	no	—
1086	#121	—	2	1	no	—
1087	#121	—	2	1	no	—
1088	#121	—	2	1	no	—
1089	#121	—	2	1	no	—
1090	#121	—	2	1	no	—
1091	#121	—	2	1	no	—
1092	#121	—	2	1	no	—
1093	#121	—	2	1	no	—
1094	#121	—	2	1	no	—
1095	#121	—	2	1	no	—
1096	#121	—	2	1	no	—
1097	#121	—	2	1	no	—
1098	#121	—	2	1	no	—
1099	#121	C₃×D₄	1	1	yes	characteristic
1100	#121	C₃×D₄	1	1	yes	characteristic
1101	#121	C₂³×C₃	1	1	yes	characteristic
1102	#121	C₂³×C₃	1	1	yes	characteristic
1103	#121	C₂³×C₃	1	1	yes	characteristic
1104	#121	C₂³×C₃	1	1	yes	characteristic
1105	#121	C₂³×C₃	1	1	yes	characteristic
1106	#121	C₂³×C₃	1	1	yes	characteristic
1107	#121	C₂³×C₃	1	1	yes	characteristic
1108	#121	C₂³×C₃	1	1	yes	characteristic
1109	#121	C₂³×C₃	1	1	yes	characteristic
1110	#121	C₂³×C₃	1	1	yes	characteristic
1111	#121	C₂³×C₃	1	1	yes	characteristic
1112	#121	C₂³×C₃	1	1	yes	characteristic
1113	#121	C₂³×C₃	1	1	yes	characteristic
1114	#121	C₂³×C₃	1	1	yes	characteristic
1115	#121	C₂³×C₃	1	1	yes	characteristic
1116	#120	—	2	1	no	—
1117	#120	—	2	1	no	—
1118	#120	—	2	1	no	—
1119	#120	—	2	1	no	—
1120	#120	—	2	1	no	—
1121	#120	—	2	1	no	—
1122	#120	—	2	1	no	—
1123	#120	—	2	1	no	—
1124	#120	—	2	1	no	—
1125	#120	—	2	1	no	—
1126	#120	—	2	1	no	—
1127	#120	—	2	1	no	—
1128	#120	—	2	1	no	—
1129	#120	—	2	1	no	—
1130	#120	—	2	1	no	—
1131	#120	C₃×D₄	1	1	yes	characteristic
1132	#120	C₃×D₄	1	1	yes	characteristic
1133	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1134	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1135	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1136	C₄×D₄	—	2	1	no	—
1137	C₄×D₄	—	2	1	no	—
1138	C₄×D₄	—	2	1	no	—
1139	C₄×D₄	—	2	1	no	—
1140	C₄×D₄	—	2	1	no	—
1141	C₄×D₄	—	2	1	no	—
1142	C₄×D₄	—	2	1	no	—
1143	C₄×D₄	—	2	1	no	—
1144	C₄×D₄	—	2	1	no	—
1145	C₄×D₄	—	2	1	no	—
1146	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1147	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1148	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1149	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1150	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1151	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1152	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1153	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1154	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1155	#117	—	2	1	no	—
1156	#117	—	2	1	no	—
1157	#117	—	2	1	no	—
1158	#117	C₂³×C₃	1	1	yes	characteristic
1159	#117	C₂³×C₃	1	1	yes	characteristic
1160	#117	C₂³×C₃	1	1	yes	characteristic
1161	C₂×C₄⋊C₄	—	2	1	no	—
1162	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1163	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1164	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1165	C₂×C₂²⋊C₄	—	2	1	no	—
1166	C₂×C₂²⋊C₄	—	2	1	no	—
1167	C₂×C₂²⋊C₄	—	2	1	no	—
1168	C₂×C₂²⋊C₄	—	2	1	no	—
1169	C₂×C₂²⋊C₄	—	2	1	no	—
1170	C₂×C₂²⋊C₄	—	2	1	no	—
1171	#107	C₂³×C₃	1	1	yes	characteristic
1172	#107	C₂³×C₃	1	1	yes	characteristic
1173	#106	C₂³×C₃	1	1	yes	characteristic
1174	#106	C₂³×C₃	1	1	yes	characteristic
1175	#106	C₂³×C₃	1	1	yes	characteristic
1176	#106	C₂³×C₃	1	1	yes	characteristic
1177	#106	C₂³×C₃	1	1	yes	characteristic
1178	#106	C₂³×C₃	1	1	yes	characteristic
1179	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
1180	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
1181	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
1182	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
1183	#103	C₂³×C₃	1	1	yes	characteristic
1184	#103	C₂³×C₃	1	1	yes	characteristic
1185	#103	C₂³×C₃	1	1	yes	characteristic
1186	#103	C₂³×C₃	1	1	yes	characteristic
1187	#103	C₂³×C₃	1	1	yes	characteristic
1188	#103	C₂³×C₃	1	1	yes	characteristic
1189	#103	C₂³×C₃	1	1	yes	characteristic
1190	#103	C₂³×C₃	1	1	yes	characteristic
1191	#103	C₂³×C₃	1	1	yes	characteristic
1192	#103	C₂³×C₃	1	1	yes	characteristic
1193	#102	C₂³×C₃	1	1	yes	characteristic
1194	#102	C₂³×C₃	1	1	yes	characteristic
1195	#102	C₂³×C₃	1	1	yes	characteristic
1196	#102	C₂³×C₃	1	1	yes	characteristic
1197	#102	C₂³×C₃	1	1	yes	characteristic
1198	#102	C₂³×C₃	1	1	yes	characteristic
1199	#102	C₂³×C₃	1	1	yes	characteristic
1200	#102	C₂³×C₃	1	1	yes	characteristic
1201	#102	C₂³×C₃	1	1	yes	characteristic
1202	#102	C₂³×C₃	1	1	yes	characteristic
1203	#102	C₂³×C₃	1	1	yes	characteristic
1204	#102	C₂³×C₃	1	1	yes	characteristic
1205	#102	C₂³×C₃	1	1	yes	characteristic
1206	#102	C₂³×C₃	1	1	yes	characteristic
1207	#102	C₂³×C₃	1	1	yes	characteristic
1208	#102	C₂³×C₃	1	1	yes	characteristic
1209	#102	C₂³×C₃	1	1	yes	characteristic
1210	#102	C₂³×C₃	1	1	yes	characteristic
1211	#102	C₂³×C₃	1	1	yes	characteristic
1212	#102	C₂³×C₃	1	1	yes	characteristic
1213	#102	C₂³×C₃	1	1	yes	characteristic
1214	#102	C₂³×C₃	1	1	yes	characteristic
1215	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1216	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1217	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1218	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1219	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1220	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1221	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1222	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1223	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1224	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1225	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1226	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1227	#97	C₂³×C₃	1	1	yes	characteristic
1228	#97	C₂³×C₃	1	1	yes	characteristic
1229	C₄×C₈	C₂³×C₃	1	1	yes	characteristic
1230	C₄×C₈	C₂³×C₃	1	1	yes	characteristic
1231	C₂³×C₃	—	2	1	no	—
1232	C₂³×C₃	—	2	1	no	—
1233	C₂³×C₃	—	2	1	no	—
1234	C₂³×C₃	—	2	1	no	—
1235	C₂³×C₃	—	2	1	no	—
1236	C₂³×C₃	—	2	1	no	—
1237	C₂³×C₃	—	2	1	no	—
1238	C₂³×C₃	—	4	1	no	—
1239	C₂³×C₃	—	4	1	no	—
1240	C₂³×C₃	—	4	1	no	—
1241	C₂³×C₃	—	4	2	no	—
1242	C₂³×C₃	—	4	2	no	—
1243	C₂³×C₃	—	4	2	no	—
1244	C₂³×C₃	—	4	2	no	—
1245	C₂³×C₃	—	4	2	no	—
1246	C₂³×C₃	—	4	2	no	—
1247	C₂³×C₃	—	8	1	no	—
1248	C₂³×C₃	—	8	1	no	—
1249	C₂³×C₃	—	8	1	no	—
1250	C₂³×C₃	—	8	1	no	—
1251	C₂³×C₃	—	8	1	no	—
1252	C₂³×C₃	—	8	1	no	—
1253	C₂³×C₃	—	8	1	no	—
1254	C₂³×C₃	—	8	1	no	—
1255	C₂³×C₃	—	8	1	no	—
1256	C₂³×C₃	—	8	1	no	—
1257	C₂³×C₃	—	8	1	no	—
1258	C₂³×C₃	—	8	1	no	—
1259	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1260	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1261	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1262	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1263	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1264	C₃×Q₈	—	2	1	no	—
1265	C₃×Q₈	—	2	1	no	—
1266	C₃×Q₈	—	2	1	no	—
1267	C₃×Q₈	—	2	1	no	—
1268	C₃×Q₈	—	2	1	no	—
1269	C₃×Q₈	—	4	1	no	—
1270	C₃×Q₈	—	4	2	no	—
1271	C₃×Q₈	—	8	1	no	—
1272	C₃×Q₈	H(5,𝔽₂)	1	2	yes	—
1273	C₃×D₄	—	2	4	no	—
1274	C₃×D₄	—	2	1	no	—
1275	C₃×D₄	—	2	1	no	—
1276	C₃×D₄	—	2	1	no	—
1277	C₃×D₄	—	2	1	no	—
1278	C₃×D₄	—	2	1	no	—
1279	C₃×D₄	—	2	1	no	—
1280	C₃×D₄	—	2	1	no	—
1281	C₃×D₄	—	2	1	no	—
1282	C₃×D₄	—	2	1	no	—
1283	C₃×D₄	—	2	1	no	—
1284	C₃×D₄	—	2	1	no	—
1285	C₃×D₄	—	2	1	no	—
1286	C₃×D₄	—	2	1	no	—
1287	C₃×D₄	—	4	1	no	—
1288	C₃×D₄	—	4	1	no	—
1289	C₃×D₄	—	4	1	no	—
1290	C₃×D₄	—	4	1	no	—
1291	C₃×D₄	—	4	1	no	—
1292	C₃×D₄	—	4	1	no	—
1293	C₃×D₄	—	4	1	no	—
1294	C₃×D₄	—	4	2	no	—
1295	C₃×D₄	—	4	2	no	—
1296	C₃×D₄	—	4	2	no	—
1297	C₃×D₄	—	4	2	no	—
1298	C₃×D₄	—	4	2	no	—
1299	C₃×D₄	—	4	2	no	—
1300	C₃×D₄	—	4	2	no	—
1301	C₃×D₄	—	4	2	no	—
1302	C₃×D₄	—	4	2	no	—
1303	C₃×D₄	—	4	2	no	—
1304	C₃×D₄	—	4	2	no	—
1305	C₃×D₄	—	4	2	no	—
1306	C₃×D₄	—	8	1	no	—
1307	C₃×D₄	—	8	1	no	—
1308	C₃×D₄	—	8	1	no	—
1309	C₃×D₄	—	8	1	no	—
1310	C₃×D₄	—	8	1	no	—
1311	C₃×D₄	—	8	1	no	—
1312	C₃×D₄	—	8	1	no	—
1313	C₃×D₄	—	8	1	no	—
1314	C₃×D₄	—	8	1	no	—
1315	C₃×D₄	—	8	1	no	—
1316	C₃×D₄	—	8	1	no	—
1317	C₃×D₄	—	8	1	no	—
1318	C₃×D₄	—	8	1	no	—
1319	C₃×D₄	—	8	1	no	—
1320	C₃×D₄	—	8	1	no	—
1321	C₃×D₄	—	8	1	no	—
1322	C₃×D₄	—	8	1	no	—
1323	C₃×D₄	—	8	1	no	—
1324	C₃×D₄	—	8	1	no	—
1325	C₃×D₄	—	8	1	no	—
1326	C₃×D₄	—	8	1	no	—
1327	C₃×D₄	—	8	1	no	—
1328	C₃×D₄	H(5,𝔽₂)	1	2	yes	—
1329	C₂×C₃×C₄	—	2	4	no	—
1330	C₂×C₃×C₄	—	2	1	no	—
1331	C₂×C₃×C₄	—	2	1	no	—
1332	C₂×C₃×C₄	—	2	1	no	—
1333	C₂×C₃×C₄	—	2	1	no	—
1334	C₂×C₃×C₄	—	2	1	no	—
1335	C₂×C₃×C₄	—	2	1	no	—
1336	C₂×C₃×C₄	—	2	1	no	—
1337	C₂×C₃×C₄	—	2	1	no	—
1338	C₂×C₃×C₄	—	2	1	no	—
1339	C₂×C₃×C₄	—	2	1	no	—
1340	C₂×C₃×C₄	—	2	1	no	—
1341	C₂×C₃×C₄	—	2	1	no	—
1342	C₂×C₃×C₄	—	2	1	no	—
1343	C₂×C₃×C₄	—	2	1	no	—
1344	C₂×C₃×C₄	—	2	1	no	—
1345	C₂×C₃×C₄	—	2	1	no	—
1346	C₂×C₃×C₄	—	2	1	no	—
1347	C₂×C₃×C₄	—	2	1	no	—
1348	C₂×C₃×C₄	—	2	1	no	—
1349	C₂×C₃×C₄	—	4	1	no	—
1350	C₂×C₃×C₄	—	4	1	no	—
1351	C₂×C₃×C₄	—	4	1	no	—
1352	C₂×C₃×C₄	—	4	2	no	—
1353	C₂×C₃×C₄	—	4	2	no	—
1354	C₂×C₃×C₄	—	4	2	no	—
1355	C₂×C₃×C₄	—	4	2	no	—
1356	C₂×C₃×C₄	—	4	2	no	—
1357	C₂×C₃×C₄	—	4	2	no	—
1358	C₂×C₃×C₄	—	4	2	no	—
1359	C₂×C₃×C₄	—	8	1	no	—
1360	C₂×C₃×C₄	—	8	1	no	—
1361	C₂×C₃×C₄	—	8	1	no	—
1362	C₂×C₃×C₄	—	8	1	no	—
1363	C₂×C₃×C₄	—	8	1	no	—
1364	C₂×C₃×C₄	—	8	1	no	—
1365	C₂×C₃×C₄	—	8	1	no	—
1366	C₂×C₃×C₄	—	8	1	no	—
1367	C₂×C₃×C₄	—	8	1	no	—
1368	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1369	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1370	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1371	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1372	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1373	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1374	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1375	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1376	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1377	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1378	C₃×C₈	—	2	1	no	—
1379	C₃×C₈	—	2	1	no	—
1380	C₃×C₈	—	2	1	no	—
1381	C₃×C₈	—	2	1	no	—
1382	C₃×C₈	—	2	1	no	—
1383	C₃×C₈	—	2	1	no	—
1384	C₃×C₈	—	2	1	no	—
1385	C₃×C₈	—	2	1	no	—
1386	C₂⁴	—	2	1	no	—
1387	C₂⁴	—	2	1	no	—
1388	C₂⁴	—	2	1	no	—
1389	C₂⁴	—	2	1	no	—
1390	C₂⁴	—	2	1	no	—
1391	C₂⁴	—	2	1	no	—
1392	C₂⁴	C₂×C₃×D₄	1	1	yes	characteristic
1393	#41	—	2	2	no	—
1394	#41	—	2	2	no	—
1395	#41	—	2	2	no	—
1396	#41	—	2	2	no	—
1397	#41	—	2	2	no	—
1398	#41	—	2	2	no	—
1399	#41	—	4	1	no	—
1400	#41	—	4	1	no	—
1401	#41	—	4	1	no	—
1402	#41	—	4	1	no	—
1403	#41	—	4	1	no	—
1404	#41	—	4	1	no	—
1405	#41	—	4	1	no	—
1406	#41	—	4	1	no	—
1407	#41	—	4	4	no	—
1408	#41	—	4	4	no	—
1409	#41	—	4	1	no	—
1410	#41	—	4	1	no	—
1411	#41	—	4	1	no	—
1412	#41	—	4	1	no	—
1413	#41	—	4	4	no	—
1414	#41	—	8	2	no	—
1415	C₂×Q₈	—	2	1	no	—
1416	C₂×Q₈	—	2	1	no	—
1417	C₂×Q₈	—	2	2	no	—
1418	C₂×Q₈	—	4	1	no	—
1419	C₂×Q₈	C₂×C₃×D₄	1	1	yes	characteristic
1420	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1421	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1422	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1423	C₂×D₄	—	2	1	no	—
1424	C₂×D₄	—	2	2	no	—
1425	C₂×D₄	—	2	2	no	—
1426	C₂×D₄	—	2	2	no	—
1427	C₂×D₄	—	2	1	no	—
1428	C₂×D₄	—	2	1	no	—
1429	C₂×D₄	—	2	1	no	—
1430	C₂×D₄	—	2	1	no	—
1431	C₂×D₄	—	2	1	no	—
1432	C₂×D₄	—	2	1	no	—
1433	C₂×D₄	—	2	1	no	—
1434	C₂×D₄	—	2	1	no	—
1435	C₂×D₄	—	2	1	no	—
1436	C₂×D₄	—	2	1	no	—
1437	C₂×D₄	—	2	1	no	—
1438	C₂×D₄	—	2	1	no	—
1439	C₂×D₄	—	2	1	no	—
1440	C₂×D₄	—	2	1	no	—
1441	C₂×D₄	—	2	1	no	—
1442	C₂×D₄	—	2	1	no	—
1443	C₂×D₄	—	2	1	no	—
1444	C₂×D₄	—	2	1	no	—
1445	C₂×D₄	—	2	1	no	—
1446	C₂×D₄	—	2	1	no	—
1447	C₂×D₄	—	2	1	no	—
1448	C₂×D₄	—	2	1	no	—
1449	C₂×D₄	—	2	1	no	—
1450	C₂×D₄	—	2	1	no	—
1451	C₂×D₄	—	2	1	no	—
1452	C₂×D₄	—	2	1	no	—
1453	C₂×D₄	—	2	1	no	—
1454	C₂×D₄	—	2	1	no	—
1455	C₂×D₄	—	2	1	no	—
1456	C₂×D₄	—	2	1	no	—
1457	C₂×D₄	—	2	1	no	—
1458	C₂×D₄	—	2	1	no	—
1459	C₂×D₄	—	2	1	no	—
1460	C₂×D₄	—	2	1	no	—
1461	C₂×D₄	—	4	1	no	—
1462	C₂×D₄	—	4	1	no	—
1463	C₂×D₄	—	4	1	no	—
1464	C₂×D₄	—	4	1	no	—
1465	C₂×D₄	—	4	1	no	—
1466	C₂×D₄	—	4	1	no	—
1467	C₂×D₄	—	4	1	no	—
1468	C₂×D₄	—	4	1	no	—
1469	C₂×D₄	—	4	1	no	—
1470	C₂×D₄	—	4	4	no	—
1471	C₂×D₄	—	4	4	no	—
1472	C₂×D₄	—	4	4	no	—
1473	C₂×D₄	—	4	4	no	—
1474	C₂×D₄	—	8	2	no	—
1475	C₂×D₄	—	8	2	no	—
1476	C₂×D₄	—	8	2	no	—
1477	C₂×D₄	—	8	2	no	—
1478	C₂×D₄	—	8	2	no	—
1479	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1480	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1481	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1482	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1483	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1484	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1485	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1486	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1487	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1488	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1489	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1490	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1491	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1492	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1493	C₂²×C₄	—	2	1	no	—
1494	C₂²×C₄	—	2	1	no	—
1495	C₂²×C₄	—	2	1	no	—
1496	C₂²×C₄	—	2	1	no	—
1497	C₂²×C₄	—	2	1	no	—
1498	C₂²×C₄	—	2	1	no	—
1499	C₂²×C₄	—	2	1	no	—
1500	C₂²×C₄	—	2	1	no	—
1501	C₂²×C₄	—	2	1	no	—
1502	C₂²×C₄	—	2	1	no	—
1503	C₂²×C₄	—	2	1	no	—
1504	C₂²×C₄	—	2	1	no	—
1505	C₂²×C₄	—	2	1	no	—
1506	C₂²×C₄	—	2	1	no	—
1507	C₂²×C₄	—	2	1	no	—
1508	C₂²×C₄	—	2	1	no	—
1509	C₂²×C₄	—	2	1	no	—
1510	C₂²×C₄	—	4	1	no	—
1511	C₂²×C₄	—	4	1	no	—
1512	C₂²×C₄	—	4	4	no	—
1513	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1514	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1515	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1516	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1517	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1518	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1519	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1520	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1521	Q₁₆	—	2	2	no	—
1522	Q₁₆	—	4	1	no	—
1523	SD₁₆	—	2	2	no	—
1524	SD₁₆	—	2	2	no	—
1525	SD₁₆	—	2	2	no	—
1526	SD₁₆	—	2	2	no	—
1527	SD₁₆	—	4	1	no	—
1528	SD₁₆	—	4	1	no	—
1529	SD₁₆	—	4	1	no	—
1530	SD₁₆	—	4	1	no	—
1531	SD₁₆	—	4	1	no	—
1532	SD₁₆	—	4	1	no	—
1533	D₈	—	2	2	no	—
1534	D₈	—	2	2	no	—
1535	D₈	—	2	2	no	—
1536	D₈	—	4	1	no	—
1537	D₈	—	4	1	no	—
1538	D₈	—	4	1	no	—
1539	D₈	—	4	1	no	—
1540	D₈	—	4	1	no	—
1541	D₈	—	4	1	no	—
1542	D₈	—	4	1	no	—
1543	D₈	—	4	1	no	—
1544	D₈	—	4	1	no	—
1545	M₁₆	—	4	1	no	—
1546	M₁₆	—	4	1	no	—
1547	M₁₆	—	4	1	no	—
1548	M₁₆	—	4	1	no	—
1549	M₁₆	—	4	1	no	—
1550	M₁₆	—	4	1	no	—
1551	C₂×C₈	—	4	1	no	—
1552	C₂×C₈	—	4	1	no	—
1553	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1554	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1555	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1556	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1557	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1558	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1559	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1560	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1561	C₄⋊C₄	—	2	1	no	—
1562	C₄⋊C₄	—	2	1	no	—
1563	C₄⋊C₄	—	2	1	no	—
1564	C₄⋊C₄	—	2	1	no	—
1565	C₄⋊C₄	—	2	1	no	—
1566	C₄⋊C₄	—	2	1	no	—
1567	C₄⋊C₄	—	2	1	no	—
1568	C₄⋊C₄	—	2	1	no	—
1569	C₄⋊C₄	—	2	1	no	—
1570	C₄⋊C₄	—	2	1	no	—
1571	C₄⋊C₄	—	2	1	no	—
1572	C₄⋊C₄	—	2	1	no	—
1573	C₄⋊C₄	—	2	1	no	—
1574	C₄⋊C₄	—	2	1	no	—
1575	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1576	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1577	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1578	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1579	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1580	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1581	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1582	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1583	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1584	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1585	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1586	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1587	C₂²⋊C₄	—	2	1	no	—
1588	C₂²⋊C₄	—	2	1	no	—
1589	C₂²⋊C₄	—	2	1	no	—
1590	C₂²⋊C₄	—	2	1	no	—
1591	C₂²⋊C₄	—	2	1	no	—
1592	C₂²⋊C₄	—	2	1	no	—
1593	C₂²⋊C₄	—	2	1	no	—
1594	C₂²⋊C₄	—	2	1	no	—
1595	C₂²⋊C₄	—	2	1	no	—
1596	C₂²⋊C₄	—	2	1	no	—
1597	C₂²⋊C₄	—	2	1	no	—
1598	C₂²⋊C₄	—	2	1	no	—
1599	C₂²⋊C₄	—	2	1	no	—
1600	C₂²⋊C₄	—	2	1	no	—
1601	C₂²⋊C₄	—	2	1	no	—
1602	C₂²⋊C₄	—	2	1	no	—
1603	C₂²⋊C₄	—	2	1	no	—
1604	C₂²⋊C₄	—	2	1	no	—
1605	C₂²⋊C₄	—	2	1	no	—
1606	C₂²⋊C₄	—	2	1	no	—
1607	C₂²⋊C₄	—	2	1	no	—
1608	C₂²⋊C₄	—	2	1	no	—
1609	C₂²⋊C₄	—	2	1	no	—
1610	C₂²⋊C₄	—	2	1	no	—
1611	C₂²⋊C₄	—	2	1	no	—
1612	C₂²⋊C₄	—	2	1	no	—
1613	C₂²⋊C₄	—	2	1	no	—
1614	C₂²⋊C₄	—	2	1	no	—
1615	C₂²⋊C₄	—	2	1	no	—
1616	C₂²⋊C₄	—	2	1	no	—
1617	C₂²⋊C₄	—	2	1	no	—
1618	C₂²⋊C₄	—	2	1	no	—
1619	C₂²⋊C₄	—	2	1	no	—
1620	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1621	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1622	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1623	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1624	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1625	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1626	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1627	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1628	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1629	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1630	C₄²	—	2	1	no	—
1631	C₄²	—	2	1	no	—
1632	C₄²	—	2	1	no	—
1633	C₄²	—	2	1	no	—
1634	C₄²	—	2	1	no	—
1635	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1636	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1637	C₂²×C₃	—	2	1	no	—
1638	C₂²×C₃	—	2	1	no	—
1639	C₂²×C₃	—	2	1	no	—
1640	C₂²×C₃	—	2	1	no	—
1641	C₂²×C₃	—	2	1	no	—
1642	C₂²×C₃	—	2	1	no	—
1643	C₂²×C₃	—	2	1	no	—
1644	C₂²×C₃	—	2	1	no	—
1645	C₂²×C₃	—	2	1	no	—
1646	C₂²×C₃	—	2	1	no	—
1647	C₂²×C₃	—	2	1	no	—
1648	C₂²×C₃	—	2	1	no	—
1649	C₂²×C₃	—	2	2	no	—
1650	C₂²×C₃	—	2	1	no	—
1651	C₂²×C₃	—	2	1	no	—
1652	C₂²×C₃	—	2	1	no	—
1653	C₂²×C₃	—	4	1	no	—
1654	C₂²×C₃	—	4	1	no	—
1655	C₂²×C₃	—	4	1	no	—
1656	C₂²×C₃	—	4	1	no	—
1657	C₂²×C₃	—	4	1	no	—
1658	C₂²×C₃	—	4	1	no	—
1659	C₂²×C₃	—	4	1	no	—
1660	C₂²×C₃	—	4	1	no	—
1661	C₂²×C₃	—	4	1	no	—
1662	C₂²×C₃	—	4	1	no	—
1663	C₂²×C₃	—	4	1	no	—
1664	C₂²×C₃	—	4	1	no	—
1665	C₂²×C₃	—	4	1	no	—
1666	C₂²×C₃	—	4	1	no	—
1667	C₂²×C₃	—	4	1	no	—
1668	C₂²×C₃	—	4	1	no	—
1669	C₂²×C₃	—	4	1	no	—
1670	C₂²×C₃	—	4	1	no	—
1671	C₂²×C₃	—	4	1	no	—
1672	C₂²×C₃	—	4	1	no	—
1673	C₂²×C₃	—	8	2	no	—
1674	C₂²×C₃	—	8	4	no	—
1675	C₂²×C₃	—	16	2	no	—
1676	C₂²×C₃	—	16	2	no	—
1677	C₂²×C₃	—	16	2	no	—
1678	C₂²×C₃	—	16	2	no	—
1679	C₂²×C₃	—	16	2	no	—
1680	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1681	C₃×C₄	—	2	1	no	—
1682	C₃×C₄	—	2	1	no	—
1683	C₃×C₄	—	2	1	no	—
1684	C₃×C₄	—	2	1	no	—
1685	C₃×C₄	—	2	1	no	—
1686	C₃×C₄	—	2	2	no	—
1687	C₃×C₄	—	2	1	no	—
1688	C₃×C₄	—	2	1	no	—
1689	C₃×C₄	—	2	1	no	—
1690	C₃×C₄	—	2	1	no	—
1691	C₃×C₄	—	4	1	no	—
1692	C₃×C₄	—	4	1	no	—
1693	C₃×C₄	—	4	1	no	—
1694	C₃×C₄	—	4	1	no	—
1695	C₃×C₄	—	4	1	no	—
1696	C₃×C₄	—	4	1	no	—
1697	C₃×C₄	—	4	1	no	—
1698	C₃×C₄	—	4	1	no	—
1699	C₃×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1700	C₃×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1701	C₂³	—	2	1	no	—
1702	C₂³	—	2	1	no	—
1703	C₂³	—	2	1	no	—
1704	C₂³	—	2	1	no	—
1705	C₂³	—	2	1	no	—
1706	C₂³	—	2	1	no	—
1707	C₂³	—	2	1	no	—
1708	C₂³	—	4	1	no	—
1709	C₂³	—	4	1	no	—
1710	C₂³	—	4	1	no	—
1711	C₂³	—	4	2	no	—
1712	C₂³	—	4	2	no	—
1713	C₂³	—	4	2	no	—
1714	C₂³	—	4	2	no	—
1715	C₂³	—	4	2	no	—
1716	C₂³	—	4	2	no	—
1717	C₂³	—	8	1	no	—
1718	C₂³	—	8	1	no	—
1719	C₂³	—	8	1	no	—
1720	C₂³	—	8	1	no	—
1721	C₂³	—	8	1	no	—
1722	C₂³	—	8	1	no	—
1723	C₂³	—	8	1	no	—
1724	C₂³	—	8	1	no	—
1725	C₂³	—	8	1	no	—
1726	C₂³	—	8	1	no	—
1727	C₂³	—	8	1	no	—
1728	C₂³	—	8	1	no	—
1729	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1730	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1731	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1732	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1733	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1734	Q₈	—	2	1	no	—
1735	Q₈	—	2	1	no	—
1736	Q₈	—	2	1	no	—
1737	Q₈	—	2	1	no	—
1738	Q₈	—	2	1	no	—
1739	Q₈	—	4	1	no	—
1740	Q₈	—	4	2	no	—
1741	Q₈	—	8	1	no	—
1742	Q₈	C₃×H(5,𝔽₂)	1	2	yes	—
1743	D₄	—	2	4	no	—
1744	D₄	—	2	1	no	—
1745	D₄	—	2	1	no	—
1746	D₄	—	2	1	no	—
1747	D₄	—	2	1	no	—
1748	D₄	—	2	1	no	—
1749	D₄	—	2	1	no	—
1750	D₄	—	2	1	no	—
1751	D₄	—	2	1	no	—
1752	D₄	—	2	1	no	—
1753	D₄	—	2	1	no	—
1754	D₄	—	2	1	no	—
1755	D₄	—	2	1	no	—
1756	D₄	—	2	1	no	—
1757	D₄	—	4	1	no	—
1758	D₄	—	4	1	no	—
1759	D₄	—	4	1	no	—
1760	D₄	—	4	1	no	—
1761	D₄	—	4	1	no	—
1762	D₄	—	4	1	no	—
1763	D₄	—	4	1	no	—
1764	D₄	—	4	2	no	—
1765	D₄	—	4	2	no	—
1766	D₄	—	4	2	no	—
1767	D₄	—	4	2	no	—
1768	D₄	—	4	2	no	—
1769	D₄	—	4	2	no	—
1770	D₄	—	4	2	no	—
1771	D₄	—	4	2	no	—
1772	D₄	—	4	2	no	—
1773	D₄	—	4	2	no	—
1774	D₄	—	4	2	no	—
1775	D₄	—	4	2	no	—
1776	D₄	—	8	1	no	—
1777	D₄	—	8	1	no	—
1778	D₄	—	8	1	no	—
1779	D₄	—	8	1	no	—
1780	D₄	—	8	1	no	—
1781	D₄	—	8	1	no	—
1782	D₄	—	8	1	no	—
1783	D₄	—	8	1	no	—
1784	D₄	—	8	1	no	—
1785	D₄	—	8	1	no	—
1786	D₄	—	8	1	no	—
1787	D₄	—	8	1	no	—
1788	D₄	—	8	1	no	—
1789	D₄	—	8	1	no	—
1790	D₄	—	8	1	no	—
1791	D₄	—	8	1	no	—
1792	D₄	—	8	1	no	—
1793	D₄	—	8	1	no	—
1794	D₄	—	8	1	no	—
1795	D₄	—	8	1	no	—
1796	D₄	—	8	1	no	—
1797	D₄	—	8	1	no	—
1798	D₄	C₃×H(5,𝔽₂)	1	2	yes	—
1799	C₂×C₄	—	2	4	no	—
1800	C₂×C₄	—	2	1	no	—
1801	C₂×C₄	—	2	1	no	—
1802	C₂×C₄	—	2	1	no	—
1803	C₂×C₄	—	2	1	no	—
1804	C₂×C₄	—	2	1	no	—
1805	C₂×C₄	—	2	1	no	—
1806	C₂×C₄	—	2	1	no	—
1807	C₂×C₄	—	2	1	no	—
1808	C₂×C₄	—	2	1	no	—
1809	C₂×C₄	—	2	1	no	—
1810	C₂×C₄	—	2	1	no	—
1811	C₂×C₄	—	2	1	no	—
1812	C₂×C₄	—	2	1	no	—
1813	C₂×C₄	—	2	1	no	—
1814	C₂×C₄	—	2	1	no	—
1815	C₂×C₄	—	2	1	no	—
1816	C₂×C₄	—	2	1	no	—
1817	C₂×C₄	—	2	1	no	—
1818	C₂×C₄	—	2	1	no	—
1819	C₂×C₄	—	4	1	no	—
1820	C₂×C₄	—	4	1	no	—
1821	C₂×C₄	—	4	1	no	—
1822	C₂×C₄	—	4	2	no	—
1823	C₂×C₄	—	4	2	no	—
1824	C₂×C₄	—	4	2	no	—
1825	C₂×C₄	—	4	2	no	—
1826	C₂×C₄	—	4	2	no	—
1827	C₂×C₄	—	4	2	no	—
1828	C₂×C₄	—	4	2	no	—
1829	C₂×C₄	—	8	1	no	—
1830	C₂×C₄	—	8	1	no	—
1831	C₂×C₄	—	8	1	no	—
1832	C₂×C₄	—	8	1	no	—
1833	C₂×C₄	—	8	1	no	—
1834	C₂×C₄	—	8	1	no	—
1835	C₂×C₄	—	8	1	no	—
1836	C₂×C₄	—	8	1	no	—
1837	C₂×C₄	—	8	1	no	—
1838	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1839	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1840	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1841	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1842	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1843	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1844	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1845	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1846	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1847	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1848	C₈	—	2	1	no	—
1849	C₈	—	2	1	no	—
1850	C₈	—	2	1	no	—
1851	C₈	—	2	1	no	—
1852	C₈	—	2	1	no	—
1853	C₈	—	2	1	no	—
1854	C₈	—	2	1	no	—
1855	C₈	—	2	1	no	—
1856	C₂×C₃	—	4	1	no	—
1857	C₂×C₃	—	4	1	no	—
1858	C₂×C₃	—	4	1	no	—
1859	C₂×C₃	—	4	1	no	—
1860	C₂×C₃	—	4	1	no	—
1861	C₂×C₃	—	4	2	no	—
1862	C₂×C₃	—	8	1	no	—
1863	C₂×C₃	—	8	1	no	—
1864	C₂×C₃	—	8	1	no	—
1865	C₂×C₃	—	8	1	no	—
1866	C₂×C₃	—	8	1	no	—
1867	C₂×C₃	—	8	1	no	—
1868	C₂×C₃	#3484	1	1	yes	characteristic
1869	C₂×C₃	#3585	1	1	yes	characteristic
1870	C₂×C₃	#3585	1	1	yes	characteristic
1871	C₂²	—	2	1	no	—
1872	C₂²	—	2	1	no	—
1873	C₂²	—	2	2	no	—
1874	C₂²	—	2	1	no	—
1875	C₂²	—	2	1	no	—
1876	C₂²	—	2	1	no	—
1877	C₂²	—	2	1	no	—
1878	C₂²	—	2	1	no	—
1879	C₂²	—	2	1	no	—
1880	C₂²	—	2	1	no	—
1881	C₂²	—	2	1	no	—
1882	C₂²	—	2	1	no	—
1883	C₂²	—	2	1	no	—
1884	C₂²	—	2	1	no	—
1885	C₂²	—	2	1	no	—
1886	C₂²	—	2	1	no	—
1887	C₂²	—	4	1	no	—
1888	C₂²	—	4	1	no	—
1889	C₂²	—	4	1	no	—
1890	C₂²	—	4	1	no	—
1891	C₂²	—	4	1	no	—
1892	C₂²	—	4	1	no	—
1893	C₂²	—	4	1	no	—
1894	C₂²	—	4	1	no	—
1895	C₂²	—	4	1	no	—
1896	C₂²	—	4	1	no	—
1897	C₂²	—	4	1	no	—
1898	C₂²	—	4	1	no	—
1899	C₂²	—	4	1	no	—
1900	C₂²	—	4	1	no	—
1901	C₂²	—	4	1	no	—
1902	C₂²	—	4	1	no	—
1903	C₂²	—	4	1	no	—
1904	C₂²	—	4	1	no	—
1905	C₂²	—	4	1	no	—
1906	C₂²	—	4	1	no	—
1907	C₂²	—	8	2	no	—
1908	C₂²	—	8	4	no	—
1909	C₂²	—	16	2	no	—
1910	C₂²	—	16	2	no	—
1911	C₂²	—	16	2	no	—
1912	C₂²	—	16	2	no	—
1913	C₂²	—	16	2	no	—
1914	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1915	C₄	—	2	1	no	—
1916	C₄	—	2	2	no	—
1917	C₄	—	2	1	no	—
1918	C₄	—	2	1	no	—
1919	C₄	—	2	1	no	—
1920	C₄	—	2	1	no	—
1921	C₄	—	2	1	no	—
1922	C₄	—	2	1	no	—
1923	C₄	—	2	1	no	—
1924	C₄	—	2	1	no	—
1925	C₄	—	4	1	no	—
1926	C₄	—	4	1	no	—
1927	C₄	—	4	1	no	—
1928	C₄	—	4	1	no	—
1929	C₄	—	4	1	no	—
1930	C₄	—	4	1	no	—
1931	C₄	—	4	1	no	—
1932	C₄	—	4	1	no	—
1933	C₄	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1934	C₄	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1935	C₃	#61653	1	1	yes	characteristic, direct product factor, Sylow
1936	C₂	—	4	1	no	—
1937	C₂	—	4	1	no	—
1938	C₂	—	4	1	no	—
1939	C₂	—	4	1	no	—
1940	C₂	—	4	1	no	—
1941	C₂	—	4	2	no	—
1942	C₂	—	8	1	no	—
1943	C₂	—	8	1	no	—
1944	C₂	—	8	1	no	—
1945	C₂	—	8	1	no	—
1946	C₂	—	8	1	no	—
1947	C₂	—	8	1	no	—
1948	C₂	C₃×#3484	1	1	yes	characteristic
1949	C₂	C₃×#3585	1	1	yes	characteristic
1950	C₂	C₃×#3585	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×#525 ◁ G

Complements

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

N	H ≅ G/N	type
1. C₃×#3542	C₂	semidirect
2. C₃×#3488	C₂	semidirect
3. C₃×#3332	C₂	semidirect
4. C₃×#3326	C₂	semidirect
5. C₃×#3325	C₂	semidirect
6. C₃×#3323	C₂	semidirect
7. C₃×#3321	C₂	semidirect
8. C₃×#3318	C₂	semidirect
9. C₃×#3317	C₂	semidirect
10. C₃×#3306	C₂	semidirect
11. C₃×#3275	C₂	semidirect
12. C₃×#3274	C₂	semidirect
13. C₃×#3274	C₂	semidirect
14. C₃×#3273	C₂	semidirect
15. C₃×#3271	C₂	semidirect
16. C₃×#3268	C₂	semidirect
17. C₃×#3264	C₂	semidirect
18. C₃×#3264	C₂	semidirect
19. C₃×#3224	C₂	semidirect
20. C₃×#3220	C₂	semidirect
21. C₃×#3204	C₂	semidirect
22. C₃×#3198	C₂	semidirect
23. C₃×#3194	C₂	semidirect
24. C₃×#3192	C₂	semidirect
25. C₃×#3125	C₂	semidirect
26. C₃×#3119	C₂	semidirect
27. C₃×#3012	C₂	semidirect
28. C₃×#3008	C₂	semidirect
29. C₃×#3006	C₂	semidirect
30. C₃×#3005	C₂	semidirect
31. C₃×#2978	C₂	semidirect
32. #61653	C₃	direct (N × H)
33. C₂×C₃×H(5,𝔽₂)	C₂²	semidirect
34. C₂²×C₃×#41	C₂²	semidirect
35. C₂×C₃×#137	C₂²	semidirect
36. C₂×C₃×AGL(1,ℤ/8)	C₂²	semidirect
37. C₂×C₃×AGL(1,ℤ/8)	C₂²	semidirect
38. C₂×C₃×AGL(1,ℤ/8)	C₂²	semidirect
39. C₂×C₃×AGL(1,ℤ/8)	C₂²	semidirect
40. C₂×C₃×AGL(1,ℤ/8)	C₂²	semidirect
41. C₂×C₃×#135	C₂²	semidirect
42. C₂²×C₃×D₈	C₂²	semidirect
45. C₃×#555	C₂²	semidirect
46. C₃×#553	C₂²	semidirect
47. C₃×#552	C₂²	semidirect
50. C₃×#550	C₂²	semidirect
51. C₃×#550	C₂²	semidirect
52. C₃×#548	C₂²	semidirect
53. C₃×#548	C₂²	semidirect
54. C₃×#547	C₂²	semidirect
59. C₃×#546	C₂²	semidirect
60. C₃×#546	C₂²	semidirect
61. C₃×#546	C₂²	semidirect
64. C₃×D₄²	C₂²	semidirect
65. C₃×D₄²	C₂²	semidirect
66. C₃×D₄²	C₂²	semidirect
67. C₃×#542	C₂²	semidirect
69. C₃×#540	C₂²	semidirect
72. C₃×#537	C₂²	semidirect
73. C₃×#537	C₂²	semidirect
76. C₃×#535	C₂²	semidirect
77. C₃×#535	C₂²	semidirect
81. C₃×#525	C₂²	semidirect
83. C₂×C₃×#121	C₂²	semidirect
84. C₂×C₃×#121	C₂²	semidirect
85. C₃×#520	C₂²	semidirect
86. C₃×#496	C₂²	semidirect
87. C₃×#496	C₂²	semidirect
88. C₃×#495	C₂²	semidirect
89. C₃×#493	C₂²	semidirect
90. C₃×#490	C₂²	semidirect
91. C₃×#489	C₂²	semidirect
92. C₃×#488	C₂²	semidirect
93. C₃×#486	C₂²	semidirect
94. C₃×#485	C₂²	semidirect
95. C₃×#483	C₂²	semidirect
96. C₃×#483	C₂²	semidirect
97. C₃×#482	C₂²	semidirect
98. C₃×#482	C₂²	semidirect
99. C₃×#482	C₂²	semidirect
100. C₃×#481	C₂²	semidirect
101. C₃×#481	C₂²	semidirect
102. C₃×#481	C₂²	semidirect
103. C₃×#481	C₂²	semidirect
104. C₃×#481	C₂²	semidirect
105. C₃×#480	C₂²	semidirect
106. C₃×#479	C₂²	semidirect
107. C₃×#478	C₂²	semidirect
108. C₃×#476	C₂²	semidirect
109. C₃×#475	C₂²	semidirect
110. C₃×#470	C₂²	semidirect
111. C₃×#469	C₂²	semidirect
112. C₃×#469	C₂²	semidirect
113. C₃×#469	C₂²	semidirect
114. C₃×#469	C₂²	semidirect
115. C₃×#469	C₂²	semidirect
116. C₃×#469	C₂²	semidirect
117. C₃×#469	C₂²	semidirect
118. C₃×#469	C₂²	semidirect
119. C₃×#468	C₂²	semidirect
120. C₃×#468	C₂²	semidirect
121. C₃×#468	C₂²	semidirect
122. C₃×#466	C₂²	semidirect
123. C₃×#465	C₂²	semidirect
124. C₃×#465	C₂²	semidirect
125. C₃×#465	C₂²	semidirect
126. C₃×#464	C₂²	semidirect
127. C₃×#464	C₂²	semidirect
128. C₃×#463	C₂²	semidirect
129. C₃×#463	C₂²	semidirect
130. C₃×#463	C₂²	semidirect
131. C₃×#463	C₂²	semidirect
132. C₃×#460	C₂²	semidirect
133. C₃×#460	C₂²	semidirect
134. C₃×#459	C₂²	semidirect
135. C₃×#459	C₂²	semidirect
136. C₃×#459	C₂²	semidirect
137. C₃×#459	C₂²	semidirect
138. C₃×#452	C₂²	semidirect
139. C₃×#452	C₂²	semidirect
140. C₃×#452	C₂²	semidirect
141. C₃×#452	C₂²	semidirect
142. C₃×#452	C₂²	semidirect
143. C₃×#452	C₂²	semidirect
144. C₃×#450	C₂²	semidirect
145. C₃×#450	C₂²	semidirect
146. C₃×#450	C₂²	semidirect
148. C₃×#449	C₂²	semidirect
149. C₃×#449	C₂²	semidirect
150. C₃×#449	C₂²	semidirect
151. C₃×#449	C₂²	semidirect
152. C₃×#449	C₂²	semidirect
153. C₃×#449	C₂²	semidirect
154. C₃×#449	C₂²	semidirect
155. C₃×#449	C₂²	semidirect
156. C₃×#449	C₂²	semidirect
157. C₃×#449	C₂²	semidirect
158. C₃×#449	C₂²	semidirect
159. C₃×#449	C₂²	semidirect
160. C₃×#449	C₂²	semidirect
161. C₃×#448	C₂²	semidirect
162. C₃×#448	C₂²	semidirect
163. C₃×#447	C₂²	semidirect
164. C₃×#447	C₂²	semidirect
165. C₃×#447	C₂²	semidirect
166. C₃×#447	C₂²	semidirect
167. C₃×#447	C₂²	semidirect
168. C₃×#447	C₂²	semidirect
169. C₃×#447	C₂²	semidirect
170. C₃×#447	C₂²	semidirect
171. C₃×#447	C₂²	semidirect
172. C₃×#447	C₂²	semidirect
173. C₃×#447	C₂²	semidirect
174. C₃×#442	C₂²	semidirect
175. C₃×#442	C₂²	semidirect
176. C₃×#441	C₂²	semidirect
177. C₃×#440	C₂²	semidirect
178. C₃×C₄×SD₁₆	C₂²	semidirect
179. C₃×C₄×SD₁₆	C₂²	semidirect
180. C₃×C₄×SD₁₆	C₂²	semidirect
181. C₃×C₄×D₈	C₂²	semidirect
182. C₃×#436	C₂²	semidirect
183. C₃×#436	C₂²	semidirect
184. C₃×#436	C₂²	semidirect
185. C₃×#436	C₂²	semidirect
186. C₃×#435	C₂²	semidirect
187. C₃×#435	C₂²	semidirect
188. C₃×#435	C₂²	semidirect
189. C₃×#435	C₂²	semidirect
190. C₃×#433	C₂²	semidirect
191. C₃×#433	C₂²	semidirect
192. C₃×#419	C₂²	semidirect
193. C₃×#418	C₂²	semidirect
194. C₃×#418	C₂²	semidirect
195. C₃×#417	C₂²	semidirect
196. C₃×#417	C₂²	semidirect
197. C₃×#417	C₂²	semidirect
198. C₃×#416	C₂²	semidirect
199. C₂×C₃×#102	C₂²	semidirect
200. C₃×#408	C₂²	semidirect
201. C₃×#408	C₂²	semidirect
202. C₃×#407	C₂²	semidirect
203. C₃×#407	C₂²	semidirect
204. #3542	C₂×C₃	semidirect
205. #3488	C₂×C₃	semidirect
206. #3332	C₂×C₃	semidirect
207. #3326	C₂×C₃	semidirect
208. #3325	C₂×C₃	semidirect
209. #3323	C₂×C₃	semidirect
210. #3321	C₂×C₃	semidirect
211. #3318	C₂×C₃	semidirect
212. #3317	C₂×C₃	semidirect
213. #3306	C₂×C₃	semidirect
214. #3275	C₂×C₃	semidirect
215. #3274	C₂×C₃	semidirect
216. #3274	C₂×C₃	semidirect
217. #3273	C₂×C₃	semidirect
218. #3271	C₂×C₃	semidirect
219. #3268	C₂×C₃	semidirect
220. #3264	C₂×C₃	semidirect
221. #3264	C₂×C₃	semidirect
222. #3224	C₂×C₃	semidirect
223. #3220	C₂×C₃	semidirect
224. #3204	C₂×C₃	semidirect
225. #3198	C₂×C₃	semidirect
226. #3194	C₂×C₃	semidirect
227. #3192	C₂×C₃	semidirect
228. #3125	C₂×C₃	semidirect
229. #3119	C₂×C₃	semidirect
230. #3012	C₂×C₃	semidirect
231. #3008	C₂×C₃	semidirect
232. #3006	C₂×C₃	semidirect
233. #3005	C₂×C₃	semidirect
234. #2978	C₂×C₃	semidirect
522. C₂×H(5,𝔽₂)	C₂²×C₃	semidirect
523. C₂²×#41	C₂²×C₃	semidirect
524. C₂×#137	C₂²×C₃	semidirect
525. C₂×AGL(1,ℤ/8)	C₂²×C₃	semidirect
526. C₂×AGL(1,ℤ/8)	C₂²×C₃	semidirect
527. C₂×AGL(1,ℤ/8)	C₂²×C₃	semidirect
528. C₂×AGL(1,ℤ/8)	C₂²×C₃	semidirect
529. C₂×AGL(1,ℤ/8)	C₂²×C₃	semidirect
530. C₂×#135	C₂²×C₃	semidirect
531. C₂²×D₈	C₂²×C₃	semidirect
534. #555	C₂²×C₃	semidirect
535. #553	C₂²×C₃	semidirect
536. #552	C₂²×C₃	semidirect
539. #550	C₂²×C₃	semidirect
540. #550	C₂²×C₃	semidirect
541. #548	C₂²×C₃	semidirect
542. #548	C₂²×C₃	semidirect
543. #547	C₂²×C₃	semidirect
548. #546	C₂²×C₃	semidirect
549. #546	C₂²×C₃	semidirect
550. #546	C₂²×C₃	semidirect
553. D₄²	C₂²×C₃	semidirect
554. D₄²	C₂²×C₃	semidirect
555. D₄²	C₂²×C₃	semidirect
556. #542	C₂²×C₃	semidirect
558. #540	C₂²×C₃	semidirect
561. #537	C₂²×C₃	semidirect
562. #537	C₂²×C₃	semidirect
565. #535	C₂²×C₃	semidirect
566. #535	C₂²×C₃	semidirect
570. #525	C₂²×C₃	semidirect
572. C₂×#121	C₂²×C₃	semidirect
573. C₂×#121	C₂²×C₃	semidirect
574. #520	C₂²×C₃	semidirect
575. #496	C₂²×C₃	semidirect
576. #496	C₂²×C₃	semidirect
577. #495	C₂²×C₃	semidirect
578. #493	C₂²×C₃	semidirect
579. #490	C₂²×C₃	semidirect
580. #489	C₂²×C₃	semidirect
581. #488	C₂²×C₃	semidirect
582. #486	C₂²×C₃	semidirect
583. #485	C₂²×C₃	semidirect
584. #483	C₂²×C₃	semidirect
585. #483	C₂²×C₃	semidirect
586. #482	C₂²×C₃	semidirect
587. #482	C₂²×C₃	semidirect
588. #482	C₂²×C₃	semidirect
589. #481	C₂²×C₃	semidirect
590. #481	C₂²×C₃	semidirect
591. #481	C₂²×C₃	semidirect
592. #481	C₂²×C₃	semidirect
593. #481	C₂²×C₃	semidirect
594. #480	C₂²×C₃	semidirect
595. #479	C₂²×C₃	semidirect
596. #478	C₂²×C₃	semidirect
597. #476	C₂²×C₃	semidirect
598. #475	C₂²×C₃	semidirect
599. #470	C₂²×C₃	semidirect
600. #469	C₂²×C₃	semidirect
601. #469	C₂²×C₃	semidirect
602. #469	C₂²×C₃	semidirect
603. #469	C₂²×C₃	semidirect
604. #469	C₂²×C₃	semidirect
605. #469	C₂²×C₃	semidirect
606. #469	C₂²×C₃	semidirect
607. #469	C₂²×C₃	semidirect
608. #468	C₂²×C₃	semidirect
609. #468	C₂²×C₃	semidirect
610. #468	C₂²×C₃	semidirect
611. #466	C₂²×C₃	semidirect
612. #465	C₂²×C₃	semidirect
613. #465	C₂²×C₃	semidirect
614. #465	C₂²×C₃	semidirect
615. #464	C₂²×C₃	semidirect
616. #464	C₂²×C₃	semidirect
617. #463	C₂²×C₃	semidirect
618. #463	C₂²×C₃	semidirect
619. #463	C₂²×C₃	semidirect
620. #463	C₂²×C₃	semidirect
621. #460	C₂²×C₃	semidirect
622. #460	C₂²×C₃	semidirect
623. #459	C₂²×C₃	semidirect
624. #459	C₂²×C₃	semidirect
625. #459	C₂²×C₃	semidirect
626. #459	C₂²×C₃	semidirect
627. #452	C₂²×C₃	semidirect
628. #452	C₂²×C₃	semidirect
629. #452	C₂²×C₃	semidirect
630. #452	C₂²×C₃	semidirect
631. #452	C₂²×C₃	semidirect
632. #452	C₂²×C₃	semidirect
633. #450	C₂²×C₃	semidirect
634. #450	C₂²×C₃	semidirect
635. #450	C₂²×C₃	semidirect
637. #449	C₂²×C₃	semidirect
638. #449	C₂²×C₃	semidirect
639. #449	C₂²×C₃	semidirect
640. #449	C₂²×C₃	semidirect
641. #449	C₂²×C₃	semidirect
642. #449	C₂²×C₃	semidirect
643. #449	C₂²×C₃	semidirect
644. #449	C₂²×C₃	semidirect
645. #449	C₂²×C₃	semidirect
646. #449	C₂²×C₃	semidirect
647. #449	C₂²×C₃	semidirect
648. #449	C₂²×C₃	semidirect
649. #449	C₂²×C₃	semidirect
650. #448	C₂²×C₃	semidirect
651. #448	C₂²×C₃	semidirect
652. #447	C₂²×C₃	semidirect
653. #447	C₂²×C₃	semidirect
654. #447	C₂²×C₃	semidirect
655. #447	C₂²×C₃	semidirect
656. #447	C₂²×C₃	semidirect
657. #447	C₂²×C₃	semidirect
658. #447	C₂²×C₃	semidirect
659. #447	C₂²×C₃	semidirect
660. #447	C₂²×C₃	semidirect
661. #447	C₂²×C₃	semidirect
662. #447	C₂²×C₃	semidirect
663. #442	C₂²×C₃	semidirect
664. #442	C₂²×C₃	semidirect
665. #441	C₂²×C₃	semidirect
666. #440	C₂²×C₃	semidirect
667. C₄×SD₁₆	C₂²×C₃	semidirect
668. C₄×SD₁₆	C₂²×C₃	semidirect
669. C₄×SD₁₆	C₂²×C₃	semidirect
670. C₄×D₈	C₂²×C₃	semidirect
671. #436	C₂²×C₃	semidirect
672. #436	C₂²×C₃	semidirect
673. #436	C₂²×C₃	semidirect
674. #436	C₂²×C₃	semidirect
675. #435	C₂²×C₃	semidirect
676. #435	C₂²×C₃	semidirect
677. #435	C₂²×C₃	semidirect
678. #435	C₂²×C₃	semidirect
679. #433	C₂²×C₃	semidirect
680. #433	C₂²×C₃	semidirect
681. #419	C₂²×C₃	semidirect
682. #418	C₂²×C₃	semidirect
683. #418	C₂²×C₃	semidirect
684. #417	C₂²×C₃	semidirect
685. #417	C₂²×C₃	semidirect
686. #417	C₂²×C₃	semidirect
687. #416	C₂²×C₃	semidirect
688. C₂×#102	C₂²×C₃	semidirect
689. #408	C₂²×C₃	semidirect
690. #408	C₂²×C₃	semidirect
691. #407	C₂²×C₃	semidirect
692. #407	C₂²×C₃	semidirect
1935. C₃	#61653	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×#3542	2
C₃×#3488	2
C₃×#3332	2
C₃×#3326	2
C₃×#3325	2
C₃×#3323	2
C₃×#3321	2
C₃×#3318	2
C₃×#3317	2
C₃×#3306	2
C₃×#3275	2
C₃×#3274	2
C₃×#3273	2
C₃×#3271	2
C₃×#3268	2
C₃×#3264	2
C₃×#3224	2
C₃×#3220	2
C₃×#3204	2
C₃×#3198	2
C₃×#3194	2
C₃×#3192	2
C₃×#3125	2
C₃×#3119	2
C₃×#3012	2
C₃×#3008	2
C₃×#3006	2
C₃×#3005	2
C₃×#2978	2
#61653	3

Subgroups — C3×#61653 #10680260

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#61653 #10680260