Subgroups — C₃×#61656 #10680263

Order 768.

2096 conjugacy classes of subgroups.

The subgroup lattice has 1900 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×#3489	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#3330	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#3329	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#3327	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#3322	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#3320	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#3319	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#3315	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#3308	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×#3278	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#3275	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#3273	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#3272	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#3268	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#3267	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#3266	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#3265	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#3225	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#3221	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#3203	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#3198	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#3196	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#3193	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#3124	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#3119	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#3013	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#3010	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	#61656	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
33	C₂×C₃×2₋¹⁺⁴	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×#137	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
38	C₂×C₃×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
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×SD₁₆	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
46	C₃×#553	C₂²	1	1	yes	characteristic
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×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
51	C₃×D₄×Q₈	C₂²	1	1	yes	characteristic, complemented
52	C₃×#548	C₂²	1	1	yes	characteristic
53	C₃×#548	C₂²	1	1	yes	characteristic, complemented
54	C₃×#547	—	2	1	no	—
55	C₃×#547	—	2	1	no	—
56	C₃×#547	C₂²	1	1	yes	characteristic
57	C₃×#547	C₂²	1	1	yes	characteristic, complemented
58	C₃×#547	C₂²	1	1	yes	characteristic, complemented
59	C₃×#546	—	2	1	no	—
60	C₃×#546	—	2	1	no	—
61	C₃×#546	—	2	1	no	—
62	C₃×#546	C₂²	1	1	yes	characteristic
63	C₃×#546	C₂²	1	1	yes	characteristic, complemented
64	C₃×#546	C₂²	1	1	yes	characteristic, complemented
65	C₃×#546	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×#536	—	2	1	no	—
75	C₃×#536	C₂²	1	1	yes	characteristic, complemented
76	C₃×#535	—	2	1	no	—
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
82	C₂×C₃×C₂²⋊Q₈	—	2	1	no	—
83	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic, complemented
84	C₂×C₃×#121	C₂²	1	1	yes	characteristic
85	C₃×#520	C₂²	1	1	yes	characteristic, complemented
86	C₃×#497	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×#492	C₂²	1	1	yes	characteristic, complemented
90	C₃×#491	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×#487	C₂²	1	1	yes	characteristic, complemented
94	C₃×#485	C₂²	1	1	yes	characteristic, complemented
95	C₃×#485	C₂²	1	1	yes	characteristic, complemented
96	C₃×#485	C₂²	1	1	yes	characteristic, complemented
97	C₃×#484	C₂²	1	1	yes	characteristic, complemented
98	C₃×#484	C₂²	1	1	yes	characteristic, complemented
99	C₃×#484	C₂²	1	1	yes	characteristic, complemented
100	C₃×#484	C₂²	1	1	yes	characteristic, complemented
101	C₃×#482	C₂²	1	1	yes	characteristic, complemented
102	C₃×#481	C₂²	1	1	yes	characteristic, complemented
103	C₃×#480	C₂²	1	1	yes	characteristic, complemented
104	C₃×#480	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×#477	C₂²	1	1	yes	characteristic, complemented
109	C₃×#474	C₂²	1	1	yes	characteristic, complemented
110	C₃×#470	C₂²	1	1	yes	characteristic, complemented
111	C₃×#470	C₂²	1	1	yes	characteristic, complemented
112	C₃×#469	C₂²	1	1	yes	characteristic, complemented
113	C₃×#468	C₂²	1	1	yes	characteristic
114	C₃×#468	C₂²	1	1	yes	characteristic
115	C₃×#468	C₂²	1	1	yes	characteristic, complemented
116	C₃×#468	C₂²	1	1	yes	characteristic, complemented
117	C₃×#468	C₂²	1	1	yes	characteristic, complemented
118	C₃×#468	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×#467	C₂²	1	1	yes	characteristic, complemented
123	C₃×#466	C₂²	1	1	yes	characteristic, complemented
124	C₃×#466	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×#462	C₂²	1	1	yes	characteristic, complemented
133	C₃×#461	C₂²	1	1	yes	characteristic, complemented
134	C₃×#461	C₂²	1	1	yes	characteristic, complemented
135	C₃×#461	C₂²	1	1	yes	characteristic, complemented
136	C₃×#460	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×#452	C₂²	1	1	yes	characteristic, complemented
145	C₃×#452	C₂²	1	1	yes	characteristic, complemented
146	C₃×#451	C₂²	1	1	yes	characteristic, complemented
147	C₃×#451	C₂²	1	1	yes	characteristic, complemented
148	C₃×#450	C₂²	1	1	yes	characteristic, complemented
149	C₃×#450	C₂²	1	1	yes	characteristic, complemented
150	C₃×#450	C₂²	1	1	yes	characteristic, complemented
151	C₃×#449	C₂²	1	1	yes	characteristic
152	C₃×#449	C₂²	1	1	yes	characteristic
153	C₃×#449	C₂²	1	1	yes	characteristic
154	C₃×#449	C₂²	1	1	yes	characteristic
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×#449	C₂²	1	1	yes	characteristic, complemented
162	C₃×#449	C₂²	1	1	yes	characteristic, complemented
163	C₃×#448	C₂²	1	1	yes	characteristic
164	C₃×#448	C₂²	1	1	yes	characteristic, complemented
165	C₃×#448	C₂²	1	1	yes	characteristic, complemented
166	C₃×#448	C₂²	1	1	yes	characteristic, complemented
167	C₃×#448	C₂²	1	1	yes	characteristic, complemented
168	C₃×#448	C₂²	1	1	yes	characteristic, complemented
169	C₃×#448	C₂²	1	1	yes	characteristic, complemented
170	C₃×#448	C₂²	1	1	yes	characteristic, complemented
171	C₃×#447	C₂²	1	1	yes	characteristic
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×#440	C₂²	1	1	yes	characteristic, complemented
176	C₃×#440	C₂²	1	1	yes	characteristic, complemented
177	C₃×#440	C₂²	1	1	yes	characteristic, complemented
178	C₃×C₄×Q₁₆	C₂²	1	1	yes	characteristic, complemented
179	C₃×C₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
180	C₃×C₄×D₈	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×#419	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×#103	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	#3489	C₂×C₃	1	1	yes	characteristic, complemented
206	#3330	C₂×C₃	1	1	yes	characteristic, complemented
207	#3329	C₂×C₃	1	1	yes	characteristic, complemented
208	#3327	C₂×C₃	1	1	yes	characteristic, complemented
209	#3322	C₂×C₃	1	1	yes	characteristic, complemented
210	#3320	C₂×C₃	1	1	yes	characteristic, complemented
211	#3319	C₂×C₃	1	1	yes	characteristic, complemented
212	#3315	C₂×C₃	1	1	yes	characteristic, complemented
213	#3308	C₂×C₃	1	1	yes	characteristic, complemented
214	#3278	C₂×C₃	1	1	yes	characteristic, complemented
215	#3275	C₂×C₃	1	1	yes	characteristic, complemented
216	#3273	C₂×C₃	1	1	yes	characteristic, complemented
217	#3272	C₂×C₃	1	1	yes	characteristic, complemented
218	#3268	C₂×C₃	1	1	yes	characteristic, complemented
219	#3267	C₂×C₃	1	1	yes	characteristic, complemented
220	#3266	C₂×C₃	1	1	yes	characteristic, complemented
221	#3265	C₂×C₃	1	1	yes	characteristic, complemented
222	#3225	C₂×C₃	1	1	yes	characteristic, complemented
223	#3221	C₂×C₃	1	1	yes	characteristic, complemented
224	#3203	C₂×C₃	1	1	yes	characteristic, complemented
225	#3198	C₂×C₃	1	1	yes	characteristic, complemented
226	#3196	C₂×C₃	1	1	yes	characteristic, complemented
227	#3193	C₂×C₃	1	1	yes	characteristic, complemented
228	#3124	C₂×C₃	1	1	yes	characteristic, complemented
229	#3119	C₂×C₃	1	1	yes	characteristic, complemented
230	#3013	C₂×C₃	1	1	yes	characteristic, complemented
231	#3010	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	C₃×2₋¹⁺⁴	—	4	2	no	—
236	C₃×2₋¹⁺⁴	—	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	—	2	1	no	—
242	C₂×C₃×#41	—	2	1	no	—
243	C₂×C₃×#41	—	4	2	no	—
244	C₂×C₃×#41	—	4	2	no	—
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	C₂×C₃×#41	C₂³	1	1	yes	characteristic
253	C₂×C₃×#41	C₂³	1	1	yes	characteristic
254	C₂²×C₃×Q₈	—	2	1	no	—
255	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
256	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
257	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
258	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
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	C₂³×C₃×C₄	—	2	1	no	—
266	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
267	C₃×#137	—	4	2	no	—
268	C₃×#137	—	4	2	no	—
269	C₃×AGL(1,ℤ/8)	—	4	2	no	—
270	C₃×AGL(1,ℤ/8)	—	4	2	no	—
271	C₃×AGL(1,ℤ/8)	—	4	2	no	—
272	C₃×AGL(1,ℤ/8)	—	4	2	no	—
273	C₃×#135	—	4	2	no	—
274	C₂×C₃×Q₁₆	C₂³	1	1	yes	characteristic
275	C₂×C₃×Q₁₆	C₂³	1	1	yes	characteristic
276	C₂×C₃×Q₁₆	C₂³	1	1	yes	characteristic
277	C₂×C₃×Q₁₆	C₂³	1	1	yes	characteristic
278	C₂×C₃×SD₁₆	—	4	2	no	—
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×SD₁₆	C₂³	1	1	yes	characteristic
290	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
291	C₂×C₃×SD₁₆	C₂³	1	1	yes	characteristic
292	C₂×C₃×SD₁₆	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×M₁₆	C₂³	1	1	yes	characteristic
300	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
301	C₂×C₃×M₁₆	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	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
306	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
307	C₃×C₄⋊Q₈	—	2	1	no	—
308	C₃×C₄⋊Q₈	—	2	1	no	—
309	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
310	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
311	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
312	C₃×#127	—	2	1	no	—
313	C₃×#127	—	2	1	no	—
314	C₃×#127	C₂³	1	1	yes	characteristic
315	C₃×#126	—	2	1	no	—
316	C₃×#126	—	2	1	no	—
317	C₃×#126	—	2	1	no	—
318	C₃×#125	—	2	1	no	—
319	C₃×#125	C₂³	1	1	yes	characteristic
320	C₃×#124	—	2	1	no	—
321	C₃×#124	—	2	1	no	—
322	C₃×#124	—	2	1	no	—
323	C₃×#124	—	2	1	no	—
324	C₃×#124	—	2	1	no	—
325	C₃×#124	—	2	1	no	—
326	C₃×#124	C₂³	1	1	yes	characteristic
327	C₃×#124	C₂³	1	1	yes	characteristic
328	C₃×#124	C₂³	1	1	yes	characteristic
329	C₃×#123	—	2	1	no	—
330	C₃×#123	—	2	1	no	—
331	C₃×#123	—	2	1	no	—
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	—	2	1	no	—
345	C₃×#123	—	2	1	no	—
346	C₃×#123	—	2	1	no	—
347	C₃×#123	D₄	1	1	yes	characteristic
348	C₃×#123	D₄	1	1	yes	characteristic
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	—	2	1	no	—
353	C₃×C₂²⋊Q₈	—	2	1	no	—
354	C₃×C₂²⋊Q₈	—	2	1	no	—
355	C₃×C₂²⋊Q₈	—	2	1	no	—
356	C₃×C₂²⋊Q₈	—	2	1	no	—
357	C₃×C₂²⋊Q₈	—	2	1	no	—
358	C₃×C₂²⋊Q₈	—	2	1	no	—
359	C₃×C₂²⋊Q₈	—	2	1	no	—
360	C₃×C₂²⋊Q₈	—	2	1	no	—
361	C₃×C₂²⋊Q₈	—	2	1	no	—
362	C₃×C₂²⋊Q₈	—	2	1	no	—
363	C₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
364	C₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
365	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
366	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
367	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
368	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
369	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
370	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
371	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
372	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
373	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
391	C₃×#121	—	2	1	no	—
392	C₃×#121	—	2	1	no	—
393	C₃×#121	—	2	1	no	—
394	C₃×#121	—	2	1	no	—
395	C₃×#121	—	2	1	no	—
396	C₃×#121	—	2	1	no	—
397	C₃×#121	D₄	1	1	yes	characteristic
398	C₃×#121	D₄	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×#121	C₂³	1	1	yes	characteristic
408	C₃×#121	C₂³	1	1	yes	characteristic
409	C₃×#121	C₂³	1	1	yes	characteristic
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	D₄	1	1	yes	characteristic
420	C₃×#120	D₄	1	1	yes	characteristic
421	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
422	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
423	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
424	C₃×C₄×D₄	—	2	1	no	—
425	C₃×C₄×D₄	—	2	1	no	—
426	C₃×C₄×D₄	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
435	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
436	C₃×C₄×D₄	C₂³	1	1	yes	characteristic
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×#117	—	2	1	no	—
444	C₃×#117	—	2	1	no	—
445	C₃×#117	—	2	1	no	—
446	C₃×#117	C₂³	1	1	yes	characteristic
447	C₃×#117	C₂³	1	1	yes	characteristic
448	C₃×#117	C₂³	1	1	yes	characteristic
449	C₂×C₃×C₄⋊C₄	—	2	1	no	—
450	C₂×C₃×C₄⋊C₄	—	2	1	no	—
451	C₂×C₃×C₄⋊C₄	—	2	1	no	—
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×#107	C₂³	1	1	yes	characteristic
465	C₃×#107	C₂³	1	1	yes	characteristic
466	C₃×#107	C₂³	1	1	yes	characteristic
467	C₃×#107	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×#103	C₂³	1	1	yes	characteristic
485	C₃×#103	C₂³	1	1	yes	characteristic
486	C₃×#103	C₂³	1	1	yes	characteristic
487	C₃×#103	C₂³	1	1	yes	characteristic
488	C₃×#103	C₂³	1	1	yes	characteristic
489	C₃×#103	C₂³	1	1	yes	characteristic
490	C₃×#103	C₂³	1	1	yes	characteristic
491	C₃×#103	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	C₂×2₋¹⁺⁴	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×#137	C₂²×C₃	1	1	yes	characteristic, complemented
526	C₂×AGL(1,ℤ/8)	C₂²×C₃	1	1	yes	characteristic
527	C₂×AGL(1,ℤ/8)	C₂²×C₃	1	1	yes	characteristic
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×SD₁₆	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
535	#553	C₂²×C₃	1	1	yes	characteristic
536	#552	C₂²×C₃	1	1	yes	characteristic, complemented
537	#551	—	2	1	no	—
538	#550	C₂²×C₃	1	1	yes	characteristic
539	D₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
540	D₄×Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
541	#548	C₂²×C₃	1	1	yes	characteristic
542	#548	C₂²×C₃	1	1	yes	characteristic, complemented
543	#547	—	2	1	no	—
544	#547	—	2	1	no	—
545	#547	C₂²×C₃	1	1	yes	characteristic
546	#547	C₂²×C₃	1	1	yes	characteristic, complemented
547	#547	C₂²×C₃	1	1	yes	characteristic, complemented
548	#546	—	2	1	no	—
549	#546	—	2	1	no	—
550	#546	—	2	1	no	—
551	#546	C₂²×C₃	1	1	yes	characteristic
552	#546	C₂²×C₃	1	1	yes	characteristic, complemented
553	#546	C₂²×C₃	1	1	yes	characteristic, complemented
554	#546	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	#536	—	2	1	no	—
564	#536	C₂²×C₃	1	1	yes	characteristic, complemented
565	#535	—	2	1	no	—
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
571	C₂×C₂²⋊Q₈	—	2	1	no	—
572	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic, complemented
573	C₂×#121	C₂²×C₃	1	1	yes	characteristic
574	#520	C₂²×C₃	1	1	yes	characteristic, complemented
575	#497	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	#492	C₂²×C₃	1	1	yes	characteristic, complemented
579	#491	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	#487	C₂²×C₃	1	1	yes	characteristic, complemented
583	#485	C₂²×C₃	1	1	yes	characteristic, complemented
584	#485	C₂²×C₃	1	1	yes	characteristic, complemented
585	#485	C₂²×C₃	1	1	yes	characteristic, complemented
586	#484	C₂²×C₃	1	1	yes	characteristic, complemented
587	#484	C₂²×C₃	1	1	yes	characteristic, complemented
588	#484	C₂²×C₃	1	1	yes	characteristic, complemented
589	#484	C₂²×C₃	1	1	yes	characteristic, complemented
590	#482	C₂²×C₃	1	1	yes	characteristic, complemented
591	#481	C₂²×C₃	1	1	yes	characteristic, complemented
592	#480	C₂²×C₃	1	1	yes	characteristic, complemented
593	#480	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	#477	C₂²×C₃	1	1	yes	characteristic, complemented
598	#474	C₂²×C₃	1	1	yes	characteristic, complemented
599	#470	C₂²×C₃	1	1	yes	characteristic, complemented
600	#470	C₂²×C₃	1	1	yes	characteristic, complemented
601	#469	C₂²×C₃	1	1	yes	characteristic, complemented
602	#468	C₂²×C₃	1	1	yes	characteristic
603	#468	C₂²×C₃	1	1	yes	characteristic
604	#468	C₂²×C₃	1	1	yes	characteristic, complemented
605	#468	C₂²×C₃	1	1	yes	characteristic, complemented
606	#468	C₂²×C₃	1	1	yes	characteristic, complemented
607	#468	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	#467	C₂²×C₃	1	1	yes	characteristic, complemented
612	#466	C₂²×C₃	1	1	yes	characteristic, complemented
613	#466	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	#462	C₂²×C₃	1	1	yes	characteristic, complemented
622	#461	C₂²×C₃	1	1	yes	characteristic, complemented
623	#461	C₂²×C₃	1	1	yes	characteristic, complemented
624	#461	C₂²×C₃	1	1	yes	characteristic, complemented
625	#460	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	#452	C₂²×C₃	1	1	yes	characteristic, complemented
634	#452	C₂²×C₃	1	1	yes	characteristic, complemented
635	#451	C₂²×C₃	1	1	yes	characteristic, complemented
636	#451	C₂²×C₃	1	1	yes	characteristic, complemented
637	#450	C₂²×C₃	1	1	yes	characteristic, complemented
638	#450	C₂²×C₃	1	1	yes	characteristic, complemented
639	#450	C₂²×C₃	1	1	yes	characteristic, complemented
640	#449	C₂²×C₃	1	1	yes	characteristic
641	#449	C₂²×C₃	1	1	yes	characteristic
642	#449	C₂²×C₃	1	1	yes	characteristic
643	#449	C₂²×C₃	1	1	yes	characteristic
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	#449	C₂²×C₃	1	1	yes	characteristic, complemented
651	#449	C₂²×C₃	1	1	yes	characteristic, complemented
652	#448	C₂²×C₃	1	1	yes	characteristic
653	#448	C₂²×C₃	1	1	yes	characteristic, complemented
654	#448	C₂²×C₃	1	1	yes	characteristic, complemented
655	#448	C₂²×C₃	1	1	yes	characteristic, complemented
656	#448	C₂²×C₃	1	1	yes	characteristic, complemented
657	#448	C₂²×C₃	1	1	yes	characteristic, complemented
658	#448	C₂²×C₃	1	1	yes	characteristic, complemented
659	#448	C₂²×C₃	1	1	yes	characteristic, complemented
660	#447	C₂²×C₃	1	1	yes	characteristic
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	#440	C₂²×C₃	1	1	yes	characteristic, complemented
665	#440	C₂²×C₃	1	1	yes	characteristic, complemented
666	#440	C₂²×C₃	1	1	yes	characteristic, complemented
667	C₄×Q₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
668	C₄×SD₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
669	C₄×D₈	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	#419	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×#103	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	C₂×D₄	1	1	yes	characteristic
697	C₃×#41	—	2	2	no	—
698	C₃×#41	—	2	2	no	—
699	C₃×#41	—	2	2	no	—
700	C₃×#41	—	2	2	no	—
701	C₃×#41	—	2	2	no	—
702	C₃×#41	—	2	2	no	—
703	C₃×#41	—	4	1	no	—
704	C₃×#41	—	4	1	no	—
705	C₃×#41	—	4	1	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	4	no	—
712	C₃×#41	—	4	4	no	—
713	C₃×#41	—	4	1	no	—
714	C₃×#41	—	4	1	no	—
715	C₃×#41	—	4	1	no	—
716	C₃×#41	—	4	1	no	—
717	C₃×#41	—	4	4	no	—
718	C₃×#41	—	4	4	no	—
719	C₃×#41	—	4	4	no	—
720	C₃×#41	—	8	2	no	—
721	C₂×C₃×Q₈	—	2	1	no	—
722	C₂×C₃×Q₈	—	2	1	no	—
723	C₂×C₃×Q₈	—	2	1	no	—
724	C₂×C₃×Q₈	—	2	1	no	—
725	C₂×C₃×Q₈	—	2	1	no	—
726	C₂×C₃×Q₈	—	2	2	no	—
727	C₂×C₃×Q₈	—	2	2	no	—
728	C₂×C₃×Q₈	—	2	2	no	—
729	C₂×C₃×Q₈	—	4	1	no	—
730	C₂×C₃×Q₈	—	4	1	no	—
731	C₂×C₃×Q₈	—	4	1	no	—
732	C₂×C₃×Q₈	—	4	1	no	—
733	C₂×C₃×Q₈	—	4	1	no	—
734	C₂×C₃×Q₈	—	4	4	no	—
735	C₂×C₃×Q₈	C₂×D₄	1	1	yes	characteristic
736	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
737	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
738	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
739	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
740	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
741	C₂×C₃×D₄	—	2	1	no	—
742	C₂×C₃×D₄	—	2	2	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	—	4	1	no	—
767	C₂×C₃×D₄	—	4	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	4	no	—
772	C₂×C₃×D₄	—	8	2	no	—
773	C₂×C₃×D₄	—	8	2	no	—
774	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
775	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
776	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
777	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
778	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
779	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
780	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
781	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
782	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
783	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
784	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
785	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
786	C₂²×C₃×C₄	—	2	1	no	—
787	C₂²×C₃×C₄	—	2	1	no	—
788	C₂²×C₃×C₄	—	2	1	no	—
789	C₂²×C₃×C₄	—	2	1	no	—
790	C₂²×C₃×C₄	—	2	1	no	—
791	C₂²×C₃×C₄	—	2	1	no	—
792	C₂²×C₃×C₄	—	2	1	no	—
793	C₂²×C₃×C₄	—	2	1	no	—
794	C₂²×C₃×C₄	—	2	1	no	—
795	C₂²×C₃×C₄	—	2	1	no	—
796	C₂²×C₃×C₄	—	2	1	no	—
797	C₂²×C₃×C₄	—	2	1	no	—
798	C₂²×C₃×C₄	—	2	1	no	—
799	C₂²×C₃×C₄	—	2	1	no	—
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	—	4	1	no	—
807	C₂²×C₃×C₄	—	4	1	no	—
808	C₂²×C₃×C₄	—	4	4	no	—
809	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
810	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
811	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
812	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
813	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
814	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
815	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
816	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
817	C₃×Q₁₆	—	2	2	no	—
818	C₃×Q₁₆	—	4	1	no	—
819	C₃×Q₁₆	—	4	1	no	—
820	C₃×Q₁₆	—	4	1	no	—
821	C₃×SD₁₆	—	2	2	no	—
822	C₃×SD₁₆	—	2	2	no	—
823	C₃×SD₁₆	—	2	2	no	—
824	C₃×SD₁₆	—	2	2	no	—
825	C₃×SD₁₆	—	4	1	no	—
826	C₃×SD₁₆	—	4	1	no	—
827	C₃×SD₁₆	—	4	1	no	—
828	C₃×SD₁₆	—	4	1	no	—
829	C₃×SD₁₆	—	4	1	no	—
830	C₃×SD₁₆	—	4	1	no	—
831	C₃×SD₁₆	—	4	1	no	—
832	C₃×SD₁₆	—	4	1	no	—
833	C₃×SD₁₆	—	4	1	no	—
834	C₃×SD₁₆	—	4	1	no	—
835	C₃×D₈	—	2	2	no	—
836	C₃×D₈	—	2	2	no	—
837	C₃×D₈	—	2	2	no	—
838	C₃×D₈	—	4	1	no	—
839	C₃×D₈	—	4	1	no	—
840	C₃×D₈	—	4	1	no	—
841	C₃×M₁₆	—	4	1	no	—
842	C₃×M₁₆	—	4	1	no	—
843	C₃×M₁₆	—	4	1	no	—
844	C₃×M₁₆	—	4	1	no	—
845	C₃×M₁₆	—	4	1	no	—
846	C₃×M₁₆	—	4	1	no	—
847	C₂×C₃×C₈	—	4	1	no	—
848	C₂×C₃×C₈	—	4	1	no	—
849	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
850	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
851	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
852	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
853	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
854	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
855	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
856	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
857	C₃×C₄⋊C₄	—	2	1	no	—
858	C₃×C₄⋊C₄	—	2	1	no	—
859	C₃×C₄⋊C₄	—	2	1	no	—
860	C₃×C₄⋊C₄	—	2	1	no	—
861	C₃×C₄⋊C₄	—	2	1	no	—
862	C₃×C₄⋊C₄	—	2	1	no	—
863	C₃×C₄⋊C₄	—	2	1	no	—
864	C₃×C₄⋊C₄	—	2	1	no	—
865	C₃×C₄⋊C₄	—	2	1	no	—
866	C₃×C₄⋊C₄	—	2	1	no	—
867	C₃×C₄⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
880	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
881	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
886	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
887	C₃×C₄⋊C₄	C₂⁴	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×C₂²⋊C₄	—	2	1	no	—
892	C₃×C₂²⋊C₄	—	2	1	no	—
893	C₃×C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
925	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
926	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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×C₄²	—	2	1	no	—
935	C₃×C₄²	—	2	1	no	—
936	C₃×C₄²	—	2	1	no	—
937	C₃×C₄²	—	2	1	no	—
938	C₃×C₄²	—	2	1	no	—
939	C₃×C₄²	C₂⁴	1	1	yes	characteristic
940	C₃×C₄²	C₂⁴	1	1	yes	characteristic
941	2₋¹⁺⁴	—	4	2	no	—
942	2₋¹⁺⁴	—	4	2	no	—
943	C₂×#41	—	2	1	no	—
944	C₂×#41	—	2	1	no	—
945	C₂×#41	—	2	1	no	—
946	C₂×#41	—	2	1	no	—
947	C₂×#41	—	2	1	no	—
948	C₂×#41	—	2	1	no	—
949	C₂×#41	—	4	2	no	—
950	C₂×#41	—	4	2	no	—
951	C₂×#41	C₂³×C₃	1	1	yes	characteristic
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	C₂²×Q₈	—	2	1	no	—
961	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
962	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
963	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
964	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
965	C₂²×D₄	—	2	1	no	—
966	C₂²×D₄	—	2	1	no	—
967	C₂²×D₄	—	2	1	no	—
968	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
969	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
970	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
971	C₂³×C₄	—	2	1	no	—
972	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
973	#137	—	4	2	no	—
974	#137	—	4	2	no	—
975	AGL(1,ℤ/8)	—	4	2	no	—
976	AGL(1,ℤ/8)	—	4	2	no	—
977	AGL(1,ℤ/8)	—	4	2	no	—
978	AGL(1,ℤ/8)	—	4	2	no	—
979	#135	—	4	2	no	—
980	C₂×Q₁₆	C₂³×C₃	1	1	yes	characteristic
981	C₂×Q₁₆	C₂³×C₃	1	1	yes	characteristic
982	C₂×Q₁₆	C₂³×C₃	1	1	yes	characteristic
983	C₂×Q₁₆	C₂³×C₃	1	1	yes	characteristic
984	C₂×SD₁₆	—	4	2	no	—
985	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
986	C₂×SD₁₆	C₂³×C₃	1	1	yes	characteristic
987	C₂×SD₁₆	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×SD₁₆	C₂³×C₃	1	1	yes	characteristic
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×M₁₆	C₂³×C₃	1	1	yes	characteristic
1006	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
1007	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
1008	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
1009	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
1010	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
1011	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
1012	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
1013	C₄⋊Q₈	—	2	1	no	—
1014	C₄⋊Q₈	—	2	1	no	—
1015	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1016	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1017	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1018	#127	—	2	1	no	—
1019	#127	—	2	1	no	—
1020	#127	C₂³×C₃	1	1	yes	characteristic
1021	#126	—	2	1	no	—
1022	#126	—	2	1	no	—
1023	#126	—	2	1	no	—
1024	#125	—	2	1	no	—
1025	#125	C₂³×C₃	1	1	yes	characteristic
1026	#124	—	2	1	no	—
1027	#124	—	2	1	no	—
1028	#124	—	2	1	no	—
1029	#124	—	2	1	no	—
1030	#124	—	2	1	no	—
1031	#124	—	2	1	no	—
1032	#124	C₂³×C₃	1	1	yes	characteristic
1033	#124	C₂³×C₃	1	1	yes	characteristic
1034	#124	C₂³×C₃	1	1	yes	characteristic
1035	#123	—	2	1	no	—
1036	#123	—	2	1	no	—
1037	#123	—	2	1	no	—
1038	#123	—	2	1	no	—
1039	#123	—	2	1	no	—
1040	#123	—	2	1	no	—
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	—	2	1	no	—
1062	C₂²⋊Q₈	—	2	1	no	—
1063	C₂²⋊Q₈	—	2	1	no	—
1064	C₂²⋊Q₈	—	2	1	no	—
1065	C₂²⋊Q₈	—	2	1	no	—
1066	C₂²⋊Q₈	—	2	1	no	—
1067	C₂²⋊Q₈	—	2	1	no	—
1068	C₂²⋊Q₈	—	2	1	no	—
1069	C₂²⋊Q₈	C₃×D₄	1	1	yes	characteristic
1070	C₂²⋊Q₈	C₃×D₄	1	1	yes	characteristic
1071	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1072	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1073	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1074	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1075	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1076	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1077	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1078	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1079	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
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	—	2	1	no	—
1100	#121	—	2	1	no	—
1101	#121	—	2	1	no	—
1102	#121	—	2	1	no	—
1103	#121	C₃×D₄	1	1	yes	characteristic
1104	#121	C₃×D₄	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	C₃×D₄	1	1	yes	characteristic
1126	#120	C₃×D₄	1	1	yes	characteristic
1127	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1128	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1129	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1130	C₄×D₄	—	2	1	no	—
1131	C₄×D₄	—	2	1	no	—
1132	C₄×D₄	—	2	1	no	—
1133	C₄×D₄	—	2	1	no	—
1134	C₄×D₄	—	2	1	no	—
1135	C₄×D₄	—	2	1	no	—
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	C₂³×C₃	1	1	yes	characteristic
1141	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1142	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1143	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1144	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
1145	C₄×D₄	C₂³×C₃	1	1	yes	characteristic
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	#117	—	2	1	no	—
1150	#117	—	2	1	no	—
1151	#117	—	2	1	no	—
1152	#117	C₂³×C₃	1	1	yes	characteristic
1153	#117	C₂³×C₃	1	1	yes	characteristic
1154	#117	C₂³×C₃	1	1	yes	characteristic
1155	C₂×C₄⋊C₄	—	2	1	no	—
1156	C₂×C₄⋊C₄	—	2	1	no	—
1157	C₂×C₄⋊C₄	—	2	1	no	—
1158	C₂×C₄⋊C₄	—	2	1	no	—
1159	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1160	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1161	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1162	C₂×C₂²⋊C₄	—	2	1	no	—
1163	C₂×C₂²⋊C₄	—	2	1	no	—
1164	C₂×C₂²⋊C₄	—	2	1	no	—
1165	C₂×C₂²⋊C₄	—	2	1	no	—
1166	C₂×C₂²⋊C₄	—	2	1	no	—
1167	C₂×C₂²⋊C₄	—	2	1	no	—
1168	#107	C₂³×C₃	1	1	yes	characteristic
1169	#107	C₂³×C₃	1	1	yes	characteristic
1170	#107	C₂³×C₃	1	1	yes	characteristic
1171	#107	C₂³×C₃	1	1	yes	characteristic
1172	#107	C₂³×C₃	1	1	yes	characteristic
1173	#107	C₂³×C₃	1	1	yes	characteristic
1174	#106	C₂³×C₃	1	1	yes	characteristic
1175	#106	C₂³×C₃	1	1	yes	characteristic
1176	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
1177	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
1178	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
1179	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
1180	#103	C₂³×C₃	1	1	yes	characteristic
1181	#103	C₂³×C₃	1	1	yes	characteristic
1182	#103	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	#103	C₂³×C₃	1	1	yes	characteristic
1194	#103	C₂³×C₃	1	1	yes	characteristic
1195	#103	C₂³×C₃	1	1	yes	characteristic
1196	#103	C₂³×C₃	1	1	yes	characteristic
1197	#103	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	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1213	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1214	C₂²⋊C₈	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	#97	C₂³×C₃	1	1	yes	characteristic
1225	#97	C₂³×C₃	1	1	yes	characteristic
1226	C₄×C₈	C₂³×C₃	1	1	yes	characteristic
1227	C₄×C₈	C₂³×C₃	1	1	yes	characteristic
1228	C₂³×C₃	—	2	1	no	—
1229	C₂³×C₃	—	2	1	no	—
1230	C₂³×C₃	—	2	1	no	—
1231	C₂³×C₃	—	2	1	no	—
1232	C₂³×C₃	—	2	1	no	—
1233	C₂³×C₃	—	4	1	no	—
1234	C₂³×C₃	—	4	1	no	—
1235	C₂³×C₃	—	4	1	no	—
1236	C₂³×C₃	—	4	2	no	—
1237	C₂³×C₃	—	4	2	no	—
1238	C₂³×C₃	—	4	2	no	—
1239	C₂³×C₃	—	8	1	no	—
1240	C₂³×C₃	—	8	1	no	—
1241	C₂³×C₃	—	8	1	no	—
1242	C₂³×C₃	—	8	1	no	—
1243	C₂³×C₃	—	8	1	no	—
1244	C₂³×C₃	—	8	1	no	—
1245	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1246	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1247	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1248	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1249	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1250	C₃×Q₈	—	2	1	no	—
1251	C₃×Q₈	—	2	1	no	—
1252	C₃×Q₈	—	2	1	no	—
1253	C₃×Q₈	—	2	1	no	—
1254	C₃×Q₈	—	2	1	no	—
1255	C₃×Q₈	—	2	1	no	—
1256	C₃×Q₈	—	2	1	no	—
1257	C₃×Q₈	—	2	1	no	—
1258	C₃×Q₈	—	2	1	no	—
1259	C₃×Q₈	—	4	1	no	—
1260	C₃×Q₈	—	4	2	no	—
1261	C₃×Q₈	—	4	2	no	—
1262	C₃×Q₈	—	4	2	no	—
1263	C₃×Q₈	—	4	2	no	—
1264	C₃×Q₈	—	8	1	no	—
1265	C₃×Q₈	H(5,𝔽₂)	1	2	yes	—
1266	C₃×D₄	—	2	4	no	—
1267	C₃×D₄	—	2	1	no	—
1268	C₃×D₄	—	2	1	no	—
1269	C₃×D₄	—	2	1	no	—
1270	C₃×D₄	—	2	1	no	—
1271	C₃×D₄	—	2	1	no	—
1272	C₃×D₄	—	2	1	no	—
1273	C₃×D₄	—	2	1	no	—
1274	C₃×D₄	—	2	1	no	—
1275	C₃×D₄	—	2	1	no	—
1276	C₃×D₄	—	4	1	no	—
1277	C₃×D₄	—	4	1	no	—
1278	C₃×D₄	—	4	1	no	—
1279	C₃×D₄	—	4	1	no	—
1280	C₃×D₄	—	4	1	no	—
1281	C₃×D₄	—	4	1	no	—
1282	C₃×D₄	—	4	1	no	—
1283	C₃×D₄	—	4	2	no	—
1284	C₃×D₄	—	4	2	no	—
1285	C₃×D₄	—	4	2	no	—
1286	C₃×D₄	—	4	2	no	—
1287	C₃×D₄	—	4	2	no	—
1288	C₃×D₄	—	4	2	no	—
1289	C₃×D₄	—	4	2	no	—
1290	C₃×D₄	—	8	1	no	—
1291	C₃×D₄	—	8	1	no	—
1292	C₃×D₄	—	8	1	no	—
1293	C₃×D₄	—	8	1	no	—
1294	C₃×D₄	—	8	1	no	—
1295	C₃×D₄	—	8	1	no	—
1296	C₃×D₄	—	8	1	no	—
1297	C₃×D₄	—	8	1	no	—
1298	C₃×D₄	—	8	1	no	—
1299	C₃×D₄	—	8	1	no	—
1300	C₃×D₄	—	8	1	no	—
1301	C₃×D₄	—	8	1	no	—
1302	C₃×D₄	—	8	1	no	—
1303	C₃×D₄	—	8	1	no	—
1304	C₃×D₄	—	8	1	no	—
1305	C₃×D₄	—	8	1	no	—
1306	C₃×D₄	H(5,𝔽₂)	1	2	yes	—
1307	C₂×C₃×C₄	—	2	4	no	—
1308	C₂×C₃×C₄	—	2	1	no	—
1309	C₂×C₃×C₄	—	2	1	no	—
1310	C₂×C₃×C₄	—	2	1	no	—
1311	C₂×C₃×C₄	—	2	1	no	—
1312	C₂×C₃×C₄	—	2	1	no	—
1313	C₂×C₃×C₄	—	2	1	no	—
1314	C₂×C₃×C₄	—	2	1	no	—
1315	C₂×C₃×C₄	—	2	1	no	—
1316	C₂×C₃×C₄	—	2	1	no	—
1317	C₂×C₃×C₄	—	2	1	no	—
1318	C₂×C₃×C₄	—	2	1	no	—
1319	C₂×C₃×C₄	—	2	1	no	—
1320	C₂×C₃×C₄	—	2	1	no	—
1321	C₂×C₃×C₄	—	2	1	no	—
1322	C₂×C₃×C₄	—	2	1	no	—
1323	C₂×C₃×C₄	—	2	1	no	—
1324	C₂×C₃×C₄	—	2	1	no	—
1325	C₂×C₃×C₄	—	2	1	no	—
1326	C₂×C₃×C₄	—	2	1	no	—
1327	C₂×C₃×C₄	—	2	1	no	—
1328	C₂×C₃×C₄	—	2	1	no	—
1329	C₂×C₃×C₄	—	4	1	no	—
1330	C₂×C₃×C₄	—	4	1	no	—
1331	C₂×C₃×C₄	—	4	1	no	—
1332	C₂×C₃×C₄	—	4	2	no	—
1333	C₂×C₃×C₄	—	4	2	no	—
1334	C₂×C₃×C₄	—	4	2	no	—
1335	C₂×C₃×C₄	—	4	2	no	—
1336	C₂×C₃×C₄	—	4	2	no	—
1337	C₂×C₃×C₄	—	4	2	no	—
1338	C₂×C₃×C₄	—	4	2	no	—
1339	C₂×C₃×C₄	—	4	2	no	—
1340	C₂×C₃×C₄	—	4	2	no	—
1341	C₂×C₃×C₄	—	4	2	no	—
1342	C₂×C₃×C₄	—	8	1	no	—
1343	C₂×C₃×C₄	—	8	1	no	—
1344	C₂×C₃×C₄	—	8	1	no	—
1345	C₂×C₃×C₄	—	8	1	no	—
1346	C₂×C₃×C₄	—	8	1	no	—
1347	C₂×C₃×C₄	—	8	1	no	—
1348	C₂×C₃×C₄	—	8	1	no	—
1349	C₂×C₃×C₄	—	8	1	no	—
1350	C₂×C₃×C₄	—	8	1	no	—
1351	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1352	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1353	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1354	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1355	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1356	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1357	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1358	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1359	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1360	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1361	C₃×C₈	—	2	1	no	—
1362	C₃×C₈	—	2	1	no	—
1363	C₃×C₈	—	2	1	no	—
1364	C₃×C₈	—	2	1	no	—
1365	C₃×C₈	—	2	1	no	—
1366	C₃×C₈	—	2	1	no	—
1367	C₃×C₈	—	2	1	no	—
1368	C₃×C₈	—	2	1	no	—
1369	C₂⁴	—	2	1	no	—
1370	C₂⁴	—	2	1	no	—
1371	C₂⁴	—	2	1	no	—
1372	C₂⁴	C₂×C₃×D₄	1	1	yes	characteristic
1373	#41	—	2	2	no	—
1374	#41	—	2	2	no	—
1375	#41	—	2	2	no	—
1376	#41	—	2	2	no	—
1377	#41	—	2	2	no	—
1378	#41	—	2	2	no	—
1379	#41	—	4	1	no	—
1380	#41	—	4	1	no	—
1381	#41	—	4	1	no	—
1382	#41	—	4	1	no	—
1383	#41	—	4	1	no	—
1384	#41	—	4	1	no	—
1385	#41	—	4	1	no	—
1386	#41	—	4	1	no	—
1387	#41	—	4	4	no	—
1388	#41	—	4	4	no	—
1389	#41	—	4	1	no	—
1390	#41	—	4	1	no	—
1391	#41	—	4	1	no	—
1392	#41	—	4	1	no	—
1393	#41	—	4	4	no	—
1394	#41	—	4	4	no	—
1395	#41	—	4	4	no	—
1396	#41	—	8	2	no	—
1397	C₂×Q₈	—	2	1	no	—
1398	C₂×Q₈	—	2	1	no	—
1399	C₂×Q₈	—	2	1	no	—
1400	C₂×Q₈	—	2	1	no	—
1401	C₂×Q₈	—	2	1	no	—
1402	C₂×Q₈	—	2	2	no	—
1403	C₂×Q₈	—	2	2	no	—
1404	C₂×Q₈	—	2	2	no	—
1405	C₂×Q₈	—	4	1	no	—
1406	C₂×Q₈	—	4	1	no	—
1407	C₂×Q₈	—	4	1	no	—
1408	C₂×Q₈	—	4	1	no	—
1409	C₂×Q₈	—	4	1	no	—
1410	C₂×Q₈	—	4	4	no	—
1411	C₂×Q₈	C₂×C₃×D₄	1	1	yes	characteristic
1412	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1413	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1414	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1415	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1416	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1417	C₂×D₄	—	2	1	no	—
1418	C₂×D₄	—	2	2	no	—
1419	C₂×D₄	—	2	1	no	—
1420	C₂×D₄	—	2	1	no	—
1421	C₂×D₄	—	2	1	no	—
1422	C₂×D₄	—	2	1	no	—
1423	C₂×D₄	—	2	1	no	—
1424	C₂×D₄	—	2	1	no	—
1425	C₂×D₄	—	2	1	no	—
1426	C₂×D₄	—	2	1	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	—	4	1	no	—
1443	C₂×D₄	—	4	1	no	—
1444	C₂×D₄	—	4	1	no	—
1445	C₂×D₄	—	4	1	no	—
1446	C₂×D₄	—	4	1	no	—
1447	C₂×D₄	—	4	4	no	—
1448	C₂×D₄	—	8	2	no	—
1449	C₂×D₄	—	8	2	no	—
1450	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1451	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1452	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1453	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1454	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1455	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1456	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1457	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1458	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1459	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1460	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1461	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1462	C₂²×C₄	—	2	1	no	—
1463	C₂²×C₄	—	2	1	no	—
1464	C₂²×C₄	—	2	1	no	—
1465	C₂²×C₄	—	2	1	no	—
1466	C₂²×C₄	—	2	1	no	—
1467	C₂²×C₄	—	2	1	no	—
1468	C₂²×C₄	—	2	1	no	—
1469	C₂²×C₄	—	2	1	no	—
1470	C₂²×C₄	—	2	1	no	—
1471	C₂²×C₄	—	2	1	no	—
1472	C₂²×C₄	—	2	1	no	—
1473	C₂²×C₄	—	2	1	no	—
1474	C₂²×C₄	—	2	1	no	—
1475	C₂²×C₄	—	2	1	no	—
1476	C₂²×C₄	—	2	1	no	—
1477	C₂²×C₄	—	2	1	no	—
1478	C₂²×C₄	—	2	1	no	—
1479	C₂²×C₄	—	2	1	no	—
1480	C₂²×C₄	—	2	1	no	—
1481	C₂²×C₄	—	2	1	no	—
1482	C₂²×C₄	—	4	1	no	—
1483	C₂²×C₄	—	4	1	no	—
1484	C₂²×C₄	—	4	4	no	—
1485	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1486	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1487	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1488	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1489	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1490	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1491	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1492	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1493	Q₁₆	—	2	2	no	—
1494	Q₁₆	—	4	1	no	—
1495	Q₁₆	—	4	1	no	—
1496	Q₁₆	—	4	1	no	—
1497	SD₁₆	—	2	2	no	—
1498	SD₁₆	—	2	2	no	—
1499	SD₁₆	—	2	2	no	—
1500	SD₁₆	—	2	2	no	—
1501	SD₁₆	—	4	1	no	—
1502	SD₁₆	—	4	1	no	—
1503	SD₁₆	—	4	1	no	—
1504	SD₁₆	—	4	1	no	—
1505	SD₁₆	—	4	1	no	—
1506	SD₁₆	—	4	1	no	—
1507	SD₁₆	—	4	1	no	—
1508	SD₁₆	—	4	1	no	—
1509	SD₁₆	—	4	1	no	—
1510	SD₁₆	—	4	1	no	—
1511	D₈	—	2	2	no	—
1512	D₈	—	2	2	no	—
1513	D₈	—	2	2	no	—
1514	D₈	—	4	1	no	—
1515	D₈	—	4	1	no	—
1516	D₈	—	4	1	no	—
1517	M₁₆	—	4	1	no	—
1518	M₁₆	—	4	1	no	—
1519	M₁₆	—	4	1	no	—
1520	M₁₆	—	4	1	no	—
1521	M₁₆	—	4	1	no	—
1522	M₁₆	—	4	1	no	—
1523	C₂×C₈	—	4	1	no	—
1524	C₂×C₈	—	4	1	no	—
1525	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1526	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1527	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1528	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1529	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1530	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1531	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1532	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1533	C₄⋊C₄	—	2	1	no	—
1534	C₄⋊C₄	—	2	1	no	—
1535	C₄⋊C₄	—	2	1	no	—
1536	C₄⋊C₄	—	2	1	no	—
1537	C₄⋊C₄	—	2	1	no	—
1538	C₄⋊C₄	—	2	1	no	—
1539	C₄⋊C₄	—	2	1	no	—
1540	C₄⋊C₄	—	2	1	no	—
1541	C₄⋊C₄	—	2	1	no	—
1542	C₄⋊C₄	—	2	1	no	—
1543	C₄⋊C₄	—	2	1	no	—
1544	C₄⋊C₄	—	2	1	no	—
1545	C₄⋊C₄	—	2	1	no	—
1546	C₄⋊C₄	—	2	1	no	—
1547	C₄⋊C₄	—	2	1	no	—
1548	C₄⋊C₄	—	2	1	no	—
1549	C₄⋊C₄	—	2	1	no	—
1550	C₄⋊C₄	—	2	1	no	—
1551	C₄⋊C₄	—	2	1	no	—
1552	C₄⋊C₄	—	2	1	no	—
1553	C₄⋊C₄	—	2	1	no	—
1554	C₄⋊C₄	—	2	1	no	—
1555	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1556	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1557	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1558	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1559	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1560	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1561	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1562	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1563	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1564	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1565	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1566	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1567	C₂²⋊C₄	—	2	1	no	—
1568	C₂²⋊C₄	—	2	1	no	—
1569	C₂²⋊C₄	—	2	1	no	—
1570	C₂²⋊C₄	—	2	1	no	—
1571	C₂²⋊C₄	—	2	1	no	—
1572	C₂²⋊C₄	—	2	1	no	—
1573	C₂²⋊C₄	—	2	1	no	—
1574	C₂²⋊C₄	—	2	1	no	—
1575	C₂²⋊C₄	—	2	1	no	—
1576	C₂²⋊C₄	—	2	1	no	—
1577	C₂²⋊C₄	—	2	1	no	—
1578	C₂²⋊C₄	—	2	1	no	—
1579	C₂²⋊C₄	—	2	1	no	—
1580	C₂²⋊C₄	—	2	1	no	—
1581	C₂²⋊C₄	—	2	1	no	—
1582	C₂²⋊C₄	—	2	1	no	—
1583	C₂²⋊C₄	—	2	1	no	—
1584	C₂²⋊C₄	—	2	1	no	—
1585	C₂²⋊C₄	—	2	1	no	—
1586	C₂²⋊C₄	—	2	1	no	—
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	C₂×C₃×D₄	1	1	yes	characteristic
1601	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1602	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1603	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1604	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1605	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1606	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1607	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1608	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1609	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1610	C₄²	—	2	1	no	—
1611	C₄²	—	2	1	no	—
1612	C₄²	—	2	1	no	—
1613	C₄²	—	2	1	no	—
1614	C₄²	—	2	1	no	—
1615	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1616	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1617	C₂²×C₃	—	2	1	no	—
1618	C₂²×C₃	—	2	1	no	—
1619	C₂²×C₃	—	2	1	no	—
1620	C₂²×C₃	—	2	1	no	—
1621	C₂²×C₃	—	2	1	no	—
1622	C₂²×C₃	—	2	1	no	—
1623	C₂²×C₃	—	2	1	no	—
1624	C₂²×C₃	—	2	1	no	—
1625	C₂²×C₃	—	2	1	no	—
1626	C₂²×C₃	—	2	1	no	—
1627	C₂²×C₃	—	2	1	no	—
1628	C₂²×C₃	—	2	2	no	—
1629	C₂²×C₃	—	2	1	no	—
1630	C₂²×C₃	—	2	1	no	—
1631	C₂²×C₃	—	2	1	no	—
1632	C₂²×C₃	—	2	1	no	—
1633	C₂²×C₃	—	4	1	no	—
1634	C₂²×C₃	—	4	1	no	—
1635	C₂²×C₃	—	4	1	no	—
1636	C₂²×C₃	—	4	1	no	—
1637	C₂²×C₃	—	4	1	no	—
1638	C₂²×C₃	—	4	1	no	—
1639	C₂²×C₃	—	4	1	no	—
1640	C₂²×C₃	—	4	1	no	—
1641	C₂²×C₃	—	4	1	no	—
1642	C₂²×C₃	—	4	1	no	—
1643	C₂²×C₃	—	4	1	no	—
1644	C₂²×C₃	—	4	1	no	—
1645	C₂²×C₃	—	4	1	no	—
1646	C₂²×C₃	—	4	1	no	—
1647	C₂²×C₃	—	8	2	no	—
1648	C₂²×C₃	—	8	4	no	—
1649	C₂²×C₃	—	16	2	no	—
1650	C₂²×C₃	—	16	2	no	—
1651	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1652	C₃×C₄	—	2	1	no	—
1653	C₃×C₄	—	2	1	no	—
1654	C₃×C₄	—	2	1	no	—
1655	C₃×C₄	—	2	1	no	—
1656	C₃×C₄	—	2	1	no	—
1657	C₃×C₄	—	2	2	no	—
1658	C₃×C₄	—	2	1	no	—
1659	C₃×C₄	—	2	1	no	—
1660	C₃×C₄	—	2	1	no	—
1661	C₃×C₄	—	2	1	no	—
1662	C₃×C₄	—	4	1	no	—
1663	C₃×C₄	—	4	1	no	—
1664	C₃×C₄	—	4	1	no	—
1665	C₃×C₄	—	4	1	no	—
1666	C₃×C₄	—	4	1	no	—
1667	C₃×C₄	—	4	1	no	—
1668	C₃×C₄	—	4	1	no	—
1669	C₃×C₄	—	4	1	no	—
1670	C₃×C₄	—	4	1	no	—
1671	C₃×C₄	—	4	1	no	—
1672	C₃×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1673	C₃×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1674	C₂³	—	2	1	no	—
1675	C₂³	—	2	1	no	—
1676	C₂³	—	2	1	no	—
1677	C₂³	—	2	1	no	—
1678	C₂³	—	2	1	no	—
1679	C₂³	—	4	1	no	—
1680	C₂³	—	4	1	no	—
1681	C₂³	—	4	1	no	—
1682	C₂³	—	4	2	no	—
1683	C₂³	—	4	2	no	—
1684	C₂³	—	4	2	no	—
1685	C₂³	—	8	1	no	—
1686	C₂³	—	8	1	no	—
1687	C₂³	—	8	1	no	—
1688	C₂³	—	8	1	no	—
1689	C₂³	—	8	1	no	—
1690	C₂³	—	8	1	no	—
1691	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1692	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1693	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1694	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1695	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1696	Q₈	—	2	1	no	—
1697	Q₈	—	2	1	no	—
1698	Q₈	—	2	1	no	—
1699	Q₈	—	2	1	no	—
1700	Q₈	—	2	1	no	—
1701	Q₈	—	2	1	no	—
1702	Q₈	—	2	1	no	—
1703	Q₈	—	2	1	no	—
1704	Q₈	—	2	1	no	—
1705	Q₈	—	4	1	no	—
1706	Q₈	—	4	2	no	—
1707	Q₈	—	4	2	no	—
1708	Q₈	—	4	2	no	—
1709	Q₈	—	4	2	no	—
1710	Q₈	—	8	1	no	—
1711	Q₈	C₃×H(5,𝔽₂)	1	2	yes	—
1712	D₄	—	2	4	no	—
1713	D₄	—	2	1	no	—
1714	D₄	—	2	1	no	—
1715	D₄	—	2	1	no	—
1716	D₄	—	2	1	no	—
1717	D₄	—	2	1	no	—
1718	D₄	—	2	1	no	—
1719	D₄	—	2	1	no	—
1720	D₄	—	2	1	no	—
1721	D₄	—	2	1	no	—
1722	D₄	—	4	1	no	—
1723	D₄	—	4	1	no	—
1724	D₄	—	4	1	no	—
1725	D₄	—	4	1	no	—
1726	D₄	—	4	1	no	—
1727	D₄	—	4	1	no	—
1728	D₄	—	4	1	no	—
1729	D₄	—	4	2	no	—
1730	D₄	—	4	2	no	—
1731	D₄	—	4	2	no	—
1732	D₄	—	4	2	no	—
1733	D₄	—	4	2	no	—
1734	D₄	—	4	2	no	—
1735	D₄	—	4	2	no	—
1736	D₄	—	8	1	no	—
1737	D₄	—	8	1	no	—
1738	D₄	—	8	1	no	—
1739	D₄	—	8	1	no	—
1740	D₄	—	8	1	no	—
1741	D₄	—	8	1	no	—
1742	D₄	—	8	1	no	—
1743	D₄	—	8	1	no	—
1744	D₄	—	8	1	no	—
1745	D₄	—	8	1	no	—
1746	D₄	—	8	1	no	—
1747	D₄	—	8	1	no	—
1748	D₄	—	8	1	no	—
1749	D₄	—	8	1	no	—
1750	D₄	—	8	1	no	—
1751	D₄	—	8	1	no	—
1752	D₄	C₃×H(5,𝔽₂)	1	2	yes	—
1753	C₂×C₄	—	2	4	no	—
1754	C₂×C₄	—	2	1	no	—
1755	C₂×C₄	—	2	1	no	—
1756	C₂×C₄	—	2	1	no	—
1757	C₂×C₄	—	2	1	no	—
1758	C₂×C₄	—	2	1	no	—
1759	C₂×C₄	—	2	1	no	—
1760	C₂×C₄	—	2	1	no	—
1761	C₂×C₄	—	2	1	no	—
1762	C₂×C₄	—	2	1	no	—
1763	C₂×C₄	—	2	1	no	—
1764	C₂×C₄	—	2	1	no	—
1765	C₂×C₄	—	2	1	no	—
1766	C₂×C₄	—	2	1	no	—
1767	C₂×C₄	—	2	1	no	—
1768	C₂×C₄	—	2	1	no	—
1769	C₂×C₄	—	2	1	no	—
1770	C₂×C₄	—	2	1	no	—
1771	C₂×C₄	—	2	1	no	—
1772	C₂×C₄	—	2	1	no	—
1773	C₂×C₄	—	2	1	no	—
1774	C₂×C₄	—	2	1	no	—
1775	C₂×C₄	—	4	1	no	—
1776	C₂×C₄	—	4	1	no	—
1777	C₂×C₄	—	4	1	no	—
1778	C₂×C₄	—	4	2	no	—
1779	C₂×C₄	—	4	2	no	—
1780	C₂×C₄	—	4	2	no	—
1781	C₂×C₄	—	4	2	no	—
1782	C₂×C₄	—	4	2	no	—
1783	C₂×C₄	—	4	2	no	—
1784	C₂×C₄	—	4	2	no	—
1785	C₂×C₄	—	4	2	no	—
1786	C₂×C₄	—	4	2	no	—
1787	C₂×C₄	—	4	2	no	—
1788	C₂×C₄	—	8	1	no	—
1789	C₂×C₄	—	8	1	no	—
1790	C₂×C₄	—	8	1	no	—
1791	C₂×C₄	—	8	1	no	—
1792	C₂×C₄	—	8	1	no	—
1793	C₂×C₄	—	8	1	no	—
1794	C₂×C₄	—	8	1	no	—
1795	C₂×C₄	—	8	1	no	—
1796	C₂×C₄	—	8	1	no	—
1797	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1798	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1799	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1800	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1801	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1802	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1803	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1804	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1805	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1806	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1807	C₈	—	2	1	no	—
1808	C₈	—	2	1	no	—
1809	C₈	—	2	1	no	—
1810	C₈	—	2	1	no	—
1811	C₈	—	2	1	no	—
1812	C₈	—	2	1	no	—
1813	C₈	—	2	1	no	—
1814	C₈	—	2	1	no	—
1815	C₂×C₃	—	4	1	no	—
1816	C₂×C₃	—	4	1	no	—
1817	C₂×C₃	—	4	1	no	—
1818	C₂×C₃	—	4	1	no	—
1819	C₂×C₃	—	4	1	no	—
1820	C₂×C₃	—	4	2	no	—
1821	C₂×C₃	—	8	1	no	—
1822	C₂×C₃	—	8	1	no	—
1823	C₂×C₃	—	8	1	no	—
1824	C₂×C₃	—	8	1	no	—
1825	C₂×C₃	#3484	1	1	yes	characteristic
1826	C₂×C₃	#3585	1	1	yes	characteristic
1827	C₂×C₃	#3586	1	1	yes	characteristic
1828	C₂²	—	2	1	no	—
1829	C₂²	—	2	2	no	—
1830	C₂²	—	2	1	no	—
1831	C₂²	—	2	1	no	—
1832	C₂²	—	2	1	no	—
1833	C₂²	—	2	1	no	—
1834	C₂²	—	2	1	no	—
1835	C₂²	—	2	1	no	—
1836	C₂²	—	2	1	no	—
1837	C₂²	—	2	1	no	—
1838	C₂²	—	2	1	no	—
1839	C₂²	—	2	1	no	—
1840	C₂²	—	2	1	no	—
1841	C₂²	—	2	1	no	—
1842	C₂²	—	2	1	no	—
1843	C₂²	—	2	1	no	—
1844	C₂²	—	4	1	no	—
1845	C₂²	—	4	1	no	—
1846	C₂²	—	4	1	no	—
1847	C₂²	—	4	1	no	—
1848	C₂²	—	4	1	no	—
1849	C₂²	—	4	1	no	—
1850	C₂²	—	4	1	no	—
1851	C₂²	—	4	1	no	—
1852	C₂²	—	4	1	no	—
1853	C₂²	—	4	1	no	—
1854	C₂²	—	4	1	no	—
1855	C₂²	—	4	1	no	—
1856	C₂²	—	4	1	no	—
1857	C₂²	—	4	1	no	—
1858	C₂²	—	8	2	no	—
1859	C₂²	—	8	4	no	—
1860	C₂²	—	16	2	no	—
1861	C₂²	—	16	2	no	—
1862	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1863	C₄	—	2	1	no	—
1864	C₄	—	2	2	no	—
1865	C₄	—	2	1	no	—
1866	C₄	—	2	1	no	—
1867	C₄	—	2	1	no	—
1868	C₄	—	2	1	no	—
1869	C₄	—	2	1	no	—
1870	C₄	—	2	1	no	—
1871	C₄	—	2	1	no	—
1872	C₄	—	2	1	no	—
1873	C₄	—	4	1	no	—
1874	C₄	—	4	1	no	—
1875	C₄	—	4	1	no	—
1876	C₄	—	4	1	no	—
1877	C₄	—	4	1	no	—
1878	C₄	—	4	1	no	—
1879	C₄	—	4	1	no	—
1880	C₄	—	4	1	no	—
1881	C₄	—	4	1	no	—
1882	C₄	—	4	1	no	—
1883	C₄	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1884	C₄	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1885	C₃	#61656	1	1	yes	characteristic, direct product factor, Sylow
1886	C₂	—	4	1	no	—
1887	C₂	—	4	1	no	—
1888	C₂	—	4	1	no	—
1889	C₂	—	4	1	no	—
1890	C₂	—	4	1	no	—
1891	C₂	—	4	2	no	—
1892	C₂	—	8	1	no	—
1893	C₂	—	8	1	no	—
1894	C₂	—	8	1	no	—
1895	C₂	—	8	1	no	—
1896	C₂	C₃×#3484	1	1	yes	characteristic
1897	C₂	C₃×#3585	1	1	yes	characteristic
1898	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×#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×#3489	C₂	semidirect
3. C₃×#3330	C₂	semidirect
4. C₃×#3329	C₂	semidirect
5. C₃×#3327	C₂	semidirect
6. C₃×#3322	C₂	semidirect
7. C₃×#3320	C₂	semidirect
8. C₃×#3319	C₂	semidirect
9. C₃×#3315	C₂	semidirect
10. C₃×#3308	C₂	semidirect
11. C₃×#3278	C₂	semidirect
12. C₃×#3275	C₂	semidirect
13. C₃×#3273	C₂	semidirect
14. C₃×#3272	C₂	semidirect
15. C₃×#3268	C₂	semidirect
16. C₃×#3267	C₂	semidirect
17. C₃×#3266	C₂	semidirect
18. C₃×#3265	C₂	semidirect
19. C₃×#3225	C₂	semidirect
20. C₃×#3221	C₂	semidirect
21. C₃×#3203	C₂	semidirect
22. C₃×#3198	C₂	semidirect
23. C₃×#3196	C₂	semidirect
24. C₃×#3193	C₂	semidirect
25. C₃×#3124	C₂	semidirect
26. C₃×#3119	C₂	semidirect
27. C₃×#3013	C₂	semidirect
28. C₃×#3010	C₂	semidirect
29. C₃×#3006	C₂	semidirect
30. C₃×#3005	C₂	semidirect
31. C₃×#2978	C₂	semidirect
32. #61656	C₃	direct (N × H)
33. C₂×C₃×2₋¹⁺⁴	C₂²	semidirect
34. C₂²×C₃×#41	C₂²	semidirect
35. C₂×C₃×#137	C₂²	semidirect
36. C₂×C₃×#137	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×SD₁₆	C₂²	semidirect
47. C₃×#552	C₂²	semidirect
50. C₃×D₄×Q₈	C₂²	semidirect
51. C₃×D₄×Q₈	C₂²	semidirect
53. C₃×#548	C₂²	semidirect
57. C₃×#547	C₂²	semidirect
58. C₃×#547	C₂²	semidirect
63. C₃×#546	C₂²	semidirect
64. C₃×#546	C₂²	semidirect
65. C₃×#546	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
75. C₃×#536	C₂²	semidirect
77. C₃×#535	C₂²	semidirect
83. C₂×C₃×C₂²⋊Q₈	C₂²	semidirect
85. C₃×#520	C₂²	semidirect
86. C₃×#497	C₂²	semidirect
87. C₃×#496	C₂²	semidirect
88. C₃×#495	C₂²	semidirect
89. C₃×#492	C₂²	semidirect
90. C₃×#491	C₂²	semidirect
91. C₃×#489	C₂²	semidirect
92. C₃×#488	C₂²	semidirect
93. C₃×#487	C₂²	semidirect
94. C₃×#485	C₂²	semidirect
95. C₃×#485	C₂²	semidirect
96. C₃×#485	C₂²	semidirect
97. C₃×#484	C₂²	semidirect
98. C₃×#484	C₂²	semidirect
99. C₃×#484	C₂²	semidirect
100. C₃×#484	C₂²	semidirect
101. C₃×#482	C₂²	semidirect
102. C₃×#481	C₂²	semidirect
103. C₃×#480	C₂²	semidirect
104. C₃×#480	C₂²	semidirect
105. C₃×#480	C₂²	semidirect
106. C₃×#479	C₂²	semidirect
107. C₃×#478	C₂²	semidirect
108. C₃×#477	C₂²	semidirect
109. C₃×#474	C₂²	semidirect
110. C₃×#470	C₂²	semidirect
111. C₃×#470	C₂²	semidirect
112. C₃×#469	C₂²	semidirect
115. C₃×#468	C₂²	semidirect
116. C₃×#468	C₂²	semidirect
117. C₃×#468	C₂²	semidirect
118. C₃×#468	C₂²	semidirect
119. C₃×#468	C₂²	semidirect
120. C₃×#468	C₂²	semidirect
121. C₃×#468	C₂²	semidirect
122. C₃×#467	C₂²	semidirect
123. C₃×#466	C₂²	semidirect
124. C₃×#466	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×#462	C₂²	semidirect
133. C₃×#461	C₂²	semidirect
134. C₃×#461	C₂²	semidirect
135. C₃×#461	C₂²	semidirect
136. C₃×#460	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×#452	C₂²	semidirect
145. C₃×#452	C₂²	semidirect
146. C₃×#451	C₂²	semidirect
147. C₃×#451	C₂²	semidirect
148. C₃×#450	C₂²	semidirect
149. C₃×#450	C₂²	semidirect
150. C₃×#450	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×#449	C₂²	semidirect
162. C₃×#449	C₂²	semidirect
164. C₃×#448	C₂²	semidirect
165. C₃×#448	C₂²	semidirect
166. C₃×#448	C₂²	semidirect
167. C₃×#448	C₂²	semidirect
168. C₃×#448	C₂²	semidirect
169. C₃×#448	C₂²	semidirect
170. C₃×#448	C₂²	semidirect
172. C₃×#447	C₂²	semidirect
173. C₃×#447	C₂²	semidirect
174. C₃×#442	C₂²	semidirect
175. C₃×#440	C₂²	semidirect
176. C₃×#440	C₂²	semidirect
177. C₃×#440	C₂²	semidirect
178. C₃×C₄×Q₁₆	C₂²	semidirect
179. C₃×C₄×SD₁₆	C₂²	semidirect
180. C₃×C₄×D₈	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×#419	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×#103	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. #3489	C₂×C₃	semidirect
206. #3330	C₂×C₃	semidirect
207. #3329	C₂×C₃	semidirect
208. #3327	C₂×C₃	semidirect
209. #3322	C₂×C₃	semidirect
210. #3320	C₂×C₃	semidirect
211. #3319	C₂×C₃	semidirect
212. #3315	C₂×C₃	semidirect
213. #3308	C₂×C₃	semidirect
214. #3278	C₂×C₃	semidirect
215. #3275	C₂×C₃	semidirect
216. #3273	C₂×C₃	semidirect
217. #3272	C₂×C₃	semidirect
218. #3268	C₂×C₃	semidirect
219. #3267	C₂×C₃	semidirect
220. #3266	C₂×C₃	semidirect
221. #3265	C₂×C₃	semidirect
222. #3225	C₂×C₃	semidirect
223. #3221	C₂×C₃	semidirect
224. #3203	C₂×C₃	semidirect
225. #3198	C₂×C₃	semidirect
226. #3196	C₂×C₃	semidirect
227. #3193	C₂×C₃	semidirect
228. #3124	C₂×C₃	semidirect
229. #3119	C₂×C₃	semidirect
230. #3013	C₂×C₃	semidirect
231. #3010	C₂×C₃	semidirect
232. #3006	C₂×C₃	semidirect
233. #3005	C₂×C₃	semidirect
234. #2978	C₂×C₃	semidirect
522. C₂×2₋¹⁺⁴	C₂²×C₃	semidirect
523. C₂²×#41	C₂²×C₃	semidirect
524. C₂×#137	C₂²×C₃	semidirect
525. C₂×#137	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×SD₁₆	C₂²×C₃	semidirect
536. #552	C₂²×C₃	semidirect
539. D₄×Q₈	C₂²×C₃	semidirect
540. D₄×Q₈	C₂²×C₃	semidirect
542. #548	C₂²×C₃	semidirect
546. #547	C₂²×C₃	semidirect
547. #547	C₂²×C₃	semidirect
552. #546	C₂²×C₃	semidirect
553. #546	C₂²×C₃	semidirect
554. #546	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
564. #536	C₂²×C₃	semidirect
566. #535	C₂²×C₃	semidirect
572. C₂×C₂²⋊Q₈	C₂²×C₃	semidirect
574. #520	C₂²×C₃	semidirect
575. #497	C₂²×C₃	semidirect
576. #496	C₂²×C₃	semidirect
577. #495	C₂²×C₃	semidirect
578. #492	C₂²×C₃	semidirect
579. #491	C₂²×C₃	semidirect
580. #489	C₂²×C₃	semidirect
581. #488	C₂²×C₃	semidirect
582. #487	C₂²×C₃	semidirect
583. #485	C₂²×C₃	semidirect
584. #485	C₂²×C₃	semidirect
585. #485	C₂²×C₃	semidirect
586. #484	C₂²×C₃	semidirect
587. #484	C₂²×C₃	semidirect
588. #484	C₂²×C₃	semidirect
589. #484	C₂²×C₃	semidirect
590. #482	C₂²×C₃	semidirect
591. #481	C₂²×C₃	semidirect
592. #480	C₂²×C₃	semidirect
593. #480	C₂²×C₃	semidirect
594. #480	C₂²×C₃	semidirect
595. #479	C₂²×C₃	semidirect
596. #478	C₂²×C₃	semidirect
597. #477	C₂²×C₃	semidirect
598. #474	C₂²×C₃	semidirect
599. #470	C₂²×C₃	semidirect
600. #470	C₂²×C₃	semidirect
601. #469	C₂²×C₃	semidirect
604. #468	C₂²×C₃	semidirect
605. #468	C₂²×C₃	semidirect
606. #468	C₂²×C₃	semidirect
607. #468	C₂²×C₃	semidirect
608. #468	C₂²×C₃	semidirect
609. #468	C₂²×C₃	semidirect
610. #468	C₂²×C₃	semidirect
611. #467	C₂²×C₃	semidirect
612. #466	C₂²×C₃	semidirect
613. #466	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. #462	C₂²×C₃	semidirect
622. #461	C₂²×C₃	semidirect
623. #461	C₂²×C₃	semidirect
624. #461	C₂²×C₃	semidirect
625. #460	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. #452	C₂²×C₃	semidirect
634. #452	C₂²×C₃	semidirect
635. #451	C₂²×C₃	semidirect
636. #451	C₂²×C₃	semidirect
637. #450	C₂²×C₃	semidirect
638. #450	C₂²×C₃	semidirect
639. #450	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. #449	C₂²×C₃	semidirect
651. #449	C₂²×C₃	semidirect
653. #448	C₂²×C₃	semidirect
654. #448	C₂²×C₃	semidirect
655. #448	C₂²×C₃	semidirect
656. #448	C₂²×C₃	semidirect
657. #448	C₂²×C₃	semidirect
658. #448	C₂²×C₃	semidirect
659. #448	C₂²×C₃	semidirect
661. #447	C₂²×C₃	semidirect
662. #447	C₂²×C₃	semidirect
663. #442	C₂²×C₃	semidirect
664. #440	C₂²×C₃	semidirect
665. #440	C₂²×C₃	semidirect
666. #440	C₂²×C₃	semidirect
667. C₄×Q₁₆	C₂²×C₃	semidirect
668. C₄×SD₁₆	C₂²×C₃	semidirect
669. C₄×D₈	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. #419	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×#103	C₂²×C₃	semidirect
689. #408	C₂²×C₃	semidirect
690. #408	C₂²×C₃	semidirect
691. #407	C₂²×C₃	semidirect
692. #407	C₂²×C₃	semidirect
1885. C₃	#61656	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×#3489	2
C₃×#3330	2
C₃×#3329	2
C₃×#3327	2
C₃×#3322	2
C₃×#3320	2
C₃×#3319	2
C₃×#3315	2
C₃×#3308	2
C₃×#3278	2
C₃×#3275	2
C₃×#3273	2
C₃×#3272	2
C₃×#3268	2
C₃×#3267	2
C₃×#3266	2
C₃×#3265	2
C₃×#3225	2
C₃×#3221	2
C₃×#3203	2
C₃×#3198	2
C₃×#3196	2
C₃×#3193	2
C₃×#3124	2
C₃×#3119	2
C₃×#3013	2
C₃×#3010	2
C₃×#3006	2
C₃×#3005	2
C₃×#2978	2
#61656	3

Subgroups — C3×#61656 #10680263

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#61656 #10680263