Subgroups — C₃×#61642 #10680249

Order 768.

2042 conjugacy classes of subgroups.

The subgroup lattice has 1850 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₃×#3541	C₂	1	1	yes	maximal, characteristic, complemented
2	C₃×#3489	C₂	1	1	yes	maximal, characteristic, complemented
3	C₃×#3320	C₂	1	1	yes	maximal, characteristic, complemented
4	C₃×#3315	C₂	1	1	yes	maximal, characteristic, complemented
5	C₃×#3314	C₂	1	1	yes	maximal, characteristic, complemented
6	C₃×#3313	C₂	1	1	yes	maximal, characteristic, complemented
7	C₃×#3302	C₂	1	1	yes	maximal, characteristic, complemented
8	C₃×#3300	C₂	1	1	yes	maximal, characteristic, complemented
9	C₃×#3299	C₂	1	1	yes	maximal, characteristic, complemented
10	C₃×#3297	C₂	1	1	yes	maximal, characteristic, complemented
11	C₃×D₄×Q₁₆	C₂	1	1	yes	maximal, characteristic, complemented
12	C₃×#3285	C₂	1	1	yes	maximal, characteristic, complemented
13	C₃×#3283	C₂	1	1	yes	maximal, characteristic, complemented
14	C₃×#3282	C₂	1	1	yes	maximal, characteristic, complemented
15	C₃×#3270	C₂	1	1	yes	maximal, characteristic, complemented
16	C₃×#3269	C₂	1	1	yes	maximal, characteristic, complemented
17	C₃×#3269	C₂	1	1	yes	maximal, characteristic, complemented
18	C₃×#3266	C₂	1	1	yes	maximal, characteristic, complemented
19	C₃×#3225	C₂	1	1	yes	maximal, characteristic, complemented
20	C₃×#3223	C₂	1	1	yes	maximal, characteristic, complemented
21	C₃×#3203	C₂	1	1	yes	maximal, characteristic, complemented
22	C₃×#3201	C₂	1	1	yes	maximal, characteristic, complemented
23	C₃×#3190	C₂	1	1	yes	maximal, characteristic, complemented
24	C₃×#3189	C₂	1	1	yes	maximal, characteristic, complemented
25	C₃×#3124	C₂	1	1	yes	maximal, characteristic, complemented
26	C₃×#3120	C₂	1	1	yes	maximal, characteristic, complemented
27	C₃×#3013	C₂	1	1	yes	maximal, characteristic, complemented
28	C₃×#3011	C₂	1	1	yes	maximal, characteristic, complemented
29	C₃×#3002	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₃×#452	C₂	1	1	yes	maximal, characteristic, complemented
31	C₃×#2977	C₂	1	1	yes	maximal, characteristic, complemented
32	#61642	C₃	1	1	yes	maximal, characteristic, direct product factor, Sylow
33	C₂×C₃×2₋¹⁺⁴	C₂²	1	1	yes	characteristic
34	C₂²×C₃×#41	C₂²	1	1	yes	characteristic
35	C₂×C₃×#137	C₂²	1	1	yes	characteristic, complemented
36	C₂×C₃×#137	C₂²	1	1	yes	characteristic, complemented
37	C₂×C₃×#135	C₂²	1	1	yes	characteristic
38	C₂×C₃×#135	C₂²	1	1	yes	characteristic
39	C₂×C₃×#135	C₂²	1	1	yes	characteristic, complemented
40	C₂²×C₃×Q₁₆	C₂²	1	1	yes	characteristic
41	C₂²×C₃×Q₁₆	C₂²	1	1	yes	characteristic, complemented
42	C₂²×C₃×SD₁₆	C₂²	1	1	yes	characteristic
43	C₃×#563	—	2	1	no	—
44	C₃×#562	—	2	1	no	—
45	C₃×#556	C₂²	1	1	yes	characteristic, complemented
46	C₃×#554	—	2	1	no	—
47	C₃×#554	C₂²	1	1	yes	characteristic
48	C₃×#553	—	2	1	no	—
49	C₃×#553	C₂²	1	1	yes	characteristic
50	C₃×#552	C₂²	1	1	yes	characteristic, complemented
51	C₃×D₄×Q₈	C₂²	1	1	yes	characteristic
52	C₃×D₄×Q₈	C₂²	1	1	yes	characteristic
53	C₃×D₄×Q₈	C₂²	1	1	yes	characteristic
54	C₃×#548	C₂²	1	1	yes	characteristic
55	C₃×#548	C₂²	1	1	yes	characteristic
56	C₃×#548	C₂²	1	1	yes	characteristic
57	C₃×#548	C₂²	1	1	yes	characteristic, complemented
58	C₃×#547	—	2	1	no	—
59	C₃×#547	—	2	1	no	—
60	C₃×#547	C₂²	1	1	yes	characteristic
61	C₃×#547	C₂²	1	1	yes	characteristic
62	C₃×#547	C₂²	1	1	yes	characteristic, complemented
63	C₃×#546	—	2	1	no	—
64	C₃×#546	—	2	1	no	—
65	C₃×#546	C₂²	1	1	yes	characteristic
66	C₃×#546	C₂²	1	1	yes	characteristic
67	C₃×#542	—	2	1	no	—
68	C₃×#542	C₂²	1	1	yes	characteristic, complemented
69	C₃×#541	C₂²	1	1	yes	characteristic, complemented
70	C₃×#539	—	2	1	no	—
71	C₃×#538	—	2	1	no	—
72	C₃×#538	—	2	1	no	—
73	C₃×#537	—	2	1	no	—
74	C₃×#537	C₂²	1	1	yes	characteristic
75	C₃×#537	C₂²	1	1	yes	characteristic, complemented
76	C₃×#536	—	2	1	no	—
77	C₃×#536	C₂²	1	1	yes	characteristic
78	C₃×#536	C₂²	1	1	yes	characteristic, complemented
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
84	C₂×C₃×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
85	C₃×#520	C₂²	1	1	yes	characteristic
86	C₃×#497	C₂²	1	1	yes	characteristic, complemented
87	C₃×#497	C₂²	1	1	yes	characteristic, complemented
88	C₃×#495	C₂²	1	1	yes	characteristic, complemented
89	C₃×#494	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
98	C₃×#484	C₂²	1	1	yes	characteristic
99	C₃×#484	C₂²	1	1	yes	characteristic, complemented
100	C₃×#484	C₂²	1	1	yes	characteristic, complemented
101	C₃×#484	C₂²	1	1	yes	characteristic, complemented
102	C₃×#483	C₂²	1	1	yes	characteristic, complemented
103	C₃×#482	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×#468	C₂²	1	1	yes	characteristic, complemented
112	C₃×#468	C₂²	1	1	yes	characteristic, complemented
113	C₃×#468	C₂²	1	1	yes	characteristic, complemented
114	C₃×#467	C₂²	1	1	yes	characteristic
115	C₃×#467	C₂²	1	1	yes	characteristic
116	C₃×#467	C₂²	1	1	yes	characteristic, complemented
117	C₃×#467	C₂²	1	1	yes	characteristic, complemented
118	C₃×#467	C₂²	1	1	yes	characteristic, complemented
119	C₃×#467	C₂²	1	1	yes	characteristic, complemented
120	C₃×#467	C₂²	1	1	yes	characteristic, complemented
121	C₃×#467	C₂²	1	1	yes	characteristic, complemented
122	C₃×#466	C₂²	1	1	yes	characteristic, complemented
123	C₃×#465	C₂²	1	1	yes	characteristic
124	C₃×#465	C₂²	1	1	yes	characteristic
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×#464	C₂²	1	1	yes	characteristic, complemented
129	C₃×#464	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×#462	C₂²	1	1	yes	characteristic, complemented
134	C₃×#462	C₂²	1	1	yes	characteristic, complemented
135	C₃×#462	C₂²	1	1	yes	characteristic, complemented
136	C₃×#461	C₂²	1	1	yes	characteristic, complemented
137	C₃×#461	C₂²	1	1	yes	characteristic, complemented
138	C₃×#452	C₂²	1	1	yes	characteristic
139	C₃×#452	C₂²	1	1	yes	characteristic
140	C₃×#452	C₂²	1	1	yes	characteristic
141	C₃×#452	C₂²	1	1	yes	characteristic
142	C₃×#452	C₂²	1	1	yes	characteristic
143	C₃×#452	C₂²	1	1	yes	characteristic
144	C₃×#452	C₂²	1	1	yes	characteristic
145	C₃×#452	C₂²	1	1	yes	characteristic
146	C₃×#452	C₂²	1	1	yes	characteristic
147	C₃×#452	C₂²	1	1	yes	characteristic
148	C₃×#452	C₂²	1	1	yes	characteristic, complemented
149	C₃×#452	C₂²	1	1	yes	characteristic, complemented
150	C₃×#452	C₂²	1	1	yes	characteristic, complemented
151	C₃×#452	C₂²	1	1	yes	characteristic, complemented
152	C₃×#452	C₂²	1	1	yes	characteristic, complemented
153	C₃×#452	C₂²	1	1	yes	characteristic, complemented
154	C₃×#451	C₂²	1	1	yes	characteristic
155	C₃×#451	C₂²	1	1	yes	characteristic
156	C₃×#451	C₂²	1	1	yes	characteristic
157	C₃×#451	C₂²	1	1	yes	characteristic, complemented
158	C₃×#451	C₂²	1	1	yes	characteristic, complemented
159	C₃×#451	C₂²	1	1	yes	characteristic, complemented
160	C₃×#451	C₂²	1	1	yes	characteristic, complemented
161	C₃×#451	C₂²	1	1	yes	characteristic, complemented
162	C₃×#451	C₂²	1	1	yes	characteristic, complemented
163	C₃×#451	C₂²	1	1	yes	characteristic, complemented
164	C₃×#450	C₂²	1	1	yes	characteristic
165	C₃×#449	C₂²	1	1	yes	characteristic
166	C₃×#449	C₂²	1	1	yes	characteristic
167	C₃×#449	C₂²	1	1	yes	characteristic, complemented
168	C₃×#449	C₂²	1	1	yes	characteristic, complemented
169	C₃×#448	C₂²	1	1	yes	characteristic
170	C₃×#448	C₂²	1	1	yes	characteristic, complemented
171	C₃×#448	C₂²	1	1	yes	characteristic, complemented
172	C₃×#448	C₂²	1	1	yes	characteristic, complemented
173	C₃×#447	C₂²	1	1	yes	characteristic
174	C₃×#441	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×Q₁₆	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×#435	C₂²	1	1	yes	characteristic
183	C₃×#435	C₂²	1	1	yes	characteristic
184	C₃×#435	C₂²	1	1	yes	characteristic, complemented
185	C₃×#435	C₂²	1	1	yes	characteristic, complemented
186	C₃×C₈×D₄	C₂²	1	1	yes	characteristic
187	C₃×C₈×D₄	C₂²	1	1	yes	characteristic
188	C₃×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
189	C₃×C₈×D₄	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×#417	C₂²	1	1	yes	characteristic, complemented
194	C₃×#416	C₂²	1	1	yes	characteristic
195	C₃×#416	C₂²	1	1	yes	characteristic
196	C₃×#416	C₂²	1	1	yes	characteristic, complemented
197	C₂×C₃×#103	C₂²	1	1	yes	characteristic
198	C₂×C₃×#103	C₂²	1	1	yes	characteristic, complemented
199	C₂×C₃×#102	C₂²	1	1	yes	characteristic
200	C₃×#408	C₂²	1	1	yes	characteristic, complemented
201	C₃×#408	C₂²	1	1	yes	characteristic, complemented
202	C₂×C₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
203	C₂×C₃×C₂²⋊C₈	C₂²	1	1	yes	characteristic
204	#3541	C₂×C₃	1	1	yes	characteristic, complemented
205	#3489	C₂×C₃	1	1	yes	characteristic, complemented
206	#3320	C₂×C₃	1	1	yes	characteristic, complemented
207	#3315	C₂×C₃	1	1	yes	characteristic, complemented
208	#3314	C₂×C₃	1	1	yes	characteristic, complemented
209	#3313	C₂×C₃	1	1	yes	characteristic, complemented
210	#3302	C₂×C₃	1	1	yes	characteristic, complemented
211	#3300	C₂×C₃	1	1	yes	characteristic, complemented
212	#3299	C₂×C₃	1	1	yes	characteristic, complemented
213	#3297	C₂×C₃	1	1	yes	characteristic, complemented
214	D₄×Q₁₆	C₂×C₃	1	1	yes	characteristic, complemented
215	#3285	C₂×C₃	1	1	yes	characteristic, complemented
216	#3283	C₂×C₃	1	1	yes	characteristic, complemented
217	#3282	C₂×C₃	1	1	yes	characteristic, complemented
218	#3270	C₂×C₃	1	1	yes	characteristic, complemented
219	#3269	C₂×C₃	1	1	yes	characteristic, complemented
220	#3269	C₂×C₃	1	1	yes	characteristic, complemented
221	#3266	C₂×C₃	1	1	yes	characteristic, complemented
222	#3225	C₂×C₃	1	1	yes	characteristic, complemented
223	#3223	C₂×C₃	1	1	yes	characteristic, complemented
224	#3203	C₂×C₃	1	1	yes	characteristic, complemented
225	#3201	C₂×C₃	1	1	yes	characteristic, complemented
226	#3190	C₂×C₃	1	1	yes	characteristic, complemented
227	#3189	C₂×C₃	1	1	yes	characteristic, complemented
228	#3124	C₂×C₃	1	1	yes	characteristic, complemented
229	#3120	C₂×C₃	1	1	yes	characteristic, complemented
230	#3013	C₂×C₃	1	1	yes	characteristic, complemented
231	#3011	C₂×C₃	1	1	yes	characteristic, complemented
232	#3002	C₂×C₃	1	1	yes	characteristic, complemented
233	C₂×#452	C₂×C₃	1	1	yes	characteristic, complemented
234	#2977	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	—	4	2	no	—
243	C₂×C₃×#41	—	4	2	no	—
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	C₂×C₃×#41	C₂³	1	1	yes	characteristic
253	C₂²×C₃×Q₈	—	2	1	no	—
254	C₂²×C₃×Q₈	C₂³	1	1	yes	characteristic
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×Q₈	C₂³	1	1	yes	characteristic
260	C₂²×C₃×D₄	—	2	1	no	—
261	C₂²×C₃×D₄	C₂³	1	1	yes	characteristic
262	C₂³×C₃×C₄	—	2	1	no	—
263	C₂³×C₃×C₄	C₂³	1	1	yes	characteristic
264	C₃×#137	—	4	2	no	—
265	C₃×#137	—	4	2	no	—
266	C₃×#135	—	4	2	no	—
267	C₃×#135	—	4	2	no	—
268	C₃×#135	—	4	2	no	—
269	C₂×C₃×Q₁₆	—	4	2	no	—
270	C₂×C₃×Q₁₆	—	4	2	no	—
271	C₂×C₃×Q₁₆	C₂³	1	1	yes	characteristic
272	C₂×C₃×Q₁₆	C₂³	1	1	yes	characteristic
273	C₂×C₃×Q₁₆	C₂³	1	1	yes	characteristic
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×Q₁₆	C₂³	1	1	yes	characteristic
279	C₂×C₃×Q₁₆	C₂³	1	1	yes	characteristic
280	C₂×C₃×Q₁₆	C₂³	1	1	yes	characteristic
281	C₂×C₃×Q₁₆	C₂³	1	1	yes	characteristic
282	C₂×C₃×Q₁₆	C₂³	1	1	yes	characteristic
283	C₂×C₃×SD₁₆	—	4	2	no	—
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×SD₁₆	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×M₁₆	C₂³	1	1	yes	characteristic
297	C₂×C₃×M₁₆	C₂³	1	1	yes	characteristic
298	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
299	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
300	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
301	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
302	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
303	C₂²×C₃×C₈	C₂³	1	1	yes	characteristic
304	C₃×C₄⋊Q₈	—	2	1	no	—
305	C₃×C₄⋊Q₈	—	2	1	no	—
306	C₃×C₄⋊Q₈	—	2	1	no	—
307	C₃×C₄⋊Q₈	—	2	1	no	—
308	C₃×C₄⋊Q₈	C₂³	1	1	yes	characteristic
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×#126	—	2	1	no	—
313	C₃×#126	—	2	1	no	—
314	C₃×#126	—	2	1	no	—
315	C₃×#126	—	2	1	no	—
316	C₃×#126	—	2	1	no	—
317	C₃×#126	—	2	1	no	—
318	C₃×#126	—	2	1	no	—
319	C₃×#125	—	2	1	no	—
320	C₃×#125	—	2	1	no	—
321	C₃×#125	—	2	1	no	—
322	C₃×#125	—	2	1	no	—
323	C₃×#125	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
330	C₃×#124	—	2	1	no	—
331	C₃×#124	C₂³	1	1	yes	characteristic
332	C₃×#124	C₂³	1	1	yes	characteristic
333	C₃×#124	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
348	C₃×#123	—	2	1	no	—
349	C₃×#123	—	2	1	no	—
350	C₃×#123	D₄	1	1	yes	characteristic
351	C₃×#123	D₄	1	1	yes	characteristic
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	—	2	1	no	—
364	C₃×C₂²⋊Q₈	—	2	1	no	—
365	C₃×C₂²⋊Q₈	—	2	1	no	—
366	C₃×C₂²⋊Q₈	—	2	1	no	—
367	C₃×C₂²⋊Q₈	—	2	1	no	—
368	C₃×C₂²⋊Q₈	—	2	1	no	—
369	C₃×C₂²⋊Q₈	—	2	1	no	—
370	C₃×C₂²⋊Q₈	—	2	1	no	—
371	C₃×C₂²⋊Q₈	—	2	1	no	—
372	C₃×C₂²⋊Q₈	—	2	1	no	—
373	C₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
374	C₃×C₂²⋊Q₈	D₄	1	1	yes	characteristic
375	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
376	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
377	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
378	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
379	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
380	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
381	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
382	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
383	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
384	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
385	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
386	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
387	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
388	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
389	C₃×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
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	—	2	1	no	—
398	C₃×#121	—	2	1	no	—
399	C₃×#121	—	2	1	no	—
400	C₃×#121	—	2	1	no	—
401	C₃×#121	—	2	1	no	—
402	C₃×#121	—	2	1	no	—
403	C₃×#121	—	2	1	no	—
404	C₃×#121	—	2	1	no	—
405	C₃×#121	—	2	1	no	—
406	C₃×#121	D₄	1	1	yes	characteristic
407	C₃×#121	D₄	1	1	yes	characteristic
408	C₃×#121	C₂³	1	1	yes	characteristic
409	C₃×#121	C₂³	1	1	yes	characteristic
410	C₃×#121	C₂³	1	1	yes	characteristic
411	C₃×#121	C₂³	1	1	yes	characteristic
412	C₃×#121	C₂³	1	1	yes	characteristic
413	C₃×#120	—	2	1	no	—
414	C₃×#120	—	2	1	no	—
415	C₃×#120	—	2	1	no	—
416	C₃×#120	D₄	1	1	yes	characteristic
417	C₃×#120	D₄	1	1	yes	characteristic
418	C₃×C₄×Q₈	—	2	1	no	—
419	C₃×C₄×Q₈	C₂³	1	1	yes	characteristic
420	C₃×C₄×Q₈	C₂³	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	—	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×#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	—	2	1	no	—
454	C₂×C₃×C₄⋊C₄	—	2	1	no	—
455	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
456	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
457	C₂×C₃×C₄⋊C₄	C₂³	1	1	yes	characteristic
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×#103	C₂³	1	1	yes	characteristic
493	C₃×#103	C₂³	1	1	yes	characteristic
494	C₃×#103	C₂³	1	1	yes	characteristic
495	C₃×#103	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
523	C₂²×#41	C₂²×C₃	1	1	yes	characteristic
524	C₂×#137	C₂²×C₃	1	1	yes	characteristic, complemented
525	C₂×#137	C₂²×C₃	1	1	yes	characteristic, complemented
526	C₂×#135	C₂²×C₃	1	1	yes	characteristic
527	C₂×#135	C₂²×C₃	1	1	yes	characteristic
528	C₂×#135	C₂²×C₃	1	1	yes	characteristic, complemented
529	C₂²×Q₁₆	C₂²×C₃	1	1	yes	characteristic
530	C₂²×Q₁₆	C₂²×C₃	1	1	yes	characteristic, complemented
531	C₂²×SD₁₆	C₂²×C₃	1	1	yes	characteristic
532	#563	—	2	1	no	—
533	#562	—	2	1	no	—
534	#556	C₂²×C₃	1	1	yes	characteristic, complemented
535	#554	—	2	1	no	—
536	#554	C₂²×C₃	1	1	yes	characteristic
537	#553	—	2	1	no	—
538	#553	C₂²×C₃	1	1	yes	characteristic
539	#552	C₂²×C₃	1	1	yes	characteristic, complemented
540	D₄×Q₈	C₂²×C₃	1	1	yes	characteristic
541	D₄×Q₈	C₂²×C₃	1	1	yes	characteristic
542	D₄×Q₈	C₂²×C₃	1	1	yes	characteristic
543	#548	C₂²×C₃	1	1	yes	characteristic
544	#548	C₂²×C₃	1	1	yes	characteristic
545	#548	C₂²×C₃	1	1	yes	characteristic
546	#548	C₂²×C₃	1	1	yes	characteristic, complemented
547	#547	—	2	1	no	—
548	#547	—	2	1	no	—
549	#547	C₂²×C₃	1	1	yes	characteristic
550	#547	C₂²×C₃	1	1	yes	characteristic
551	#547	C₂²×C₃	1	1	yes	characteristic, complemented
552	#546	—	2	1	no	—
553	#546	—	2	1	no	—
554	#546	C₂²×C₃	1	1	yes	characteristic
555	#546	C₂²×C₃	1	1	yes	characteristic
556	#542	—	2	1	no	—
557	#542	C₂²×C₃	1	1	yes	characteristic, complemented
558	#541	C₂²×C₃	1	1	yes	characteristic, complemented
559	#539	—	2	1	no	—
560	#538	—	2	1	no	—
561	#538	—	2	1	no	—
562	#537	—	2	1	no	—
563	#537	C₂²×C₃	1	1	yes	characteristic
564	#537	C₂²×C₃	1	1	yes	characteristic, complemented
565	#536	—	2	1	no	—
566	#536	C₂²×C₃	1	1	yes	characteristic
567	#536	C₂²×C₃	1	1	yes	characteristic, complemented
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
573	C₂×C₂²⋊Q₈	C₂²×C₃	1	1	yes	characteristic
574	#520	C₂²×C₃	1	1	yes	characteristic
575	#497	C₂²×C₃	1	1	yes	characteristic, complemented
576	#497	C₂²×C₃	1	1	yes	characteristic, complemented
577	#495	C₂²×C₃	1	1	yes	characteristic, complemented
578	#494	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
587	#484	C₂²×C₃	1	1	yes	characteristic
588	#484	C₂²×C₃	1	1	yes	characteristic, complemented
589	#484	C₂²×C₃	1	1	yes	characteristic, complemented
590	#484	C₂²×C₃	1	1	yes	characteristic, complemented
591	#483	C₂²×C₃	1	1	yes	characteristic, complemented
592	#482	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	#468	C₂²×C₃	1	1	yes	characteristic, complemented
601	#468	C₂²×C₃	1	1	yes	characteristic, complemented
602	#468	C₂²×C₃	1	1	yes	characteristic, complemented
603	#467	C₂²×C₃	1	1	yes	characteristic
604	#467	C₂²×C₃	1	1	yes	characteristic
605	#467	C₂²×C₃	1	1	yes	characteristic, complemented
606	#467	C₂²×C₃	1	1	yes	characteristic, complemented
607	#467	C₂²×C₃	1	1	yes	characteristic, complemented
608	#467	C₂²×C₃	1	1	yes	characteristic, complemented
609	#467	C₂²×C₃	1	1	yes	characteristic, complemented
610	#467	C₂²×C₃	1	1	yes	characteristic, complemented
611	#466	C₂²×C₃	1	1	yes	characteristic, complemented
612	#465	C₂²×C₃	1	1	yes	characteristic
613	#465	C₂²×C₃	1	1	yes	characteristic
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	#464	C₂²×C₃	1	1	yes	characteristic, complemented
618	#464	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	#462	C₂²×C₃	1	1	yes	characteristic, complemented
623	#462	C₂²×C₃	1	1	yes	characteristic, complemented
624	#462	C₂²×C₃	1	1	yes	characteristic, complemented
625	#461	C₂²×C₃	1	1	yes	characteristic, complemented
626	#461	C₂²×C₃	1	1	yes	characteristic, complemented
627	#452	C₂²×C₃	1	1	yes	characteristic
628	#452	C₂²×C₃	1	1	yes	characteristic
629	#452	C₂²×C₃	1	1	yes	characteristic
630	#452	C₂²×C₃	1	1	yes	characteristic
631	#452	C₂²×C₃	1	1	yes	characteristic
632	#452	C₂²×C₃	1	1	yes	characteristic
633	#452	C₂²×C₃	1	1	yes	characteristic
634	#452	C₂²×C₃	1	1	yes	characteristic
635	#452	C₂²×C₃	1	1	yes	characteristic
636	#452	C₂²×C₃	1	1	yes	characteristic
637	#452	C₂²×C₃	1	1	yes	characteristic, complemented
638	#452	C₂²×C₃	1	1	yes	characteristic, complemented
639	#452	C₂²×C₃	1	1	yes	characteristic, complemented
640	#452	C₂²×C₃	1	1	yes	characteristic, complemented
641	#452	C₂²×C₃	1	1	yes	characteristic, complemented
642	#452	C₂²×C₃	1	1	yes	characteristic, complemented
643	#451	C₂²×C₃	1	1	yes	characteristic
644	#451	C₂²×C₃	1	1	yes	characteristic
645	#451	C₂²×C₃	1	1	yes	characteristic
646	#451	C₂²×C₃	1	1	yes	characteristic, complemented
647	#451	C₂²×C₃	1	1	yes	characteristic, complemented
648	#451	C₂²×C₃	1	1	yes	characteristic, complemented
649	#451	C₂²×C₃	1	1	yes	characteristic, complemented
650	#451	C₂²×C₃	1	1	yes	characteristic, complemented
651	#451	C₂²×C₃	1	1	yes	characteristic, complemented
652	#451	C₂²×C₃	1	1	yes	characteristic, complemented
653	#450	C₂²×C₃	1	1	yes	characteristic
654	#449	C₂²×C₃	1	1	yes	characteristic
655	#449	C₂²×C₃	1	1	yes	characteristic
656	#449	C₂²×C₃	1	1	yes	characteristic, complemented
657	#449	C₂²×C₃	1	1	yes	characteristic, complemented
658	#448	C₂²×C₃	1	1	yes	characteristic
659	#448	C₂²×C₃	1	1	yes	characteristic, complemented
660	#448	C₂²×C₃	1	1	yes	characteristic, complemented
661	#448	C₂²×C₃	1	1	yes	characteristic, complemented
662	#447	C₂²×C₃	1	1	yes	characteristic
663	#441	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×Q₁₆	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	#435	C₂²×C₃	1	1	yes	characteristic
672	#435	C₂²×C₃	1	1	yes	characteristic
673	#435	C₂²×C₃	1	1	yes	characteristic, complemented
674	#435	C₂²×C₃	1	1	yes	characteristic, complemented
675	C₈×D₄	C₂²×C₃	1	1	yes	characteristic
676	C₈×D₄	C₂²×C₃	1	1	yes	characteristic
677	C₈×D₄	C₂²×C₃	1	1	yes	characteristic, complemented
678	C₈×D₄	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	#417	C₂²×C₃	1	1	yes	characteristic, complemented
683	#416	C₂²×C₃	1	1	yes	characteristic
684	#416	C₂²×C₃	1	1	yes	characteristic
685	#416	C₂²×C₃	1	1	yes	characteristic, complemented
686	C₂×#103	C₂²×C₃	1	1	yes	characteristic
687	C₂×#103	C₂²×C₃	1	1	yes	characteristic, complemented
688	C₂×#102	C₂²×C₃	1	1	yes	characteristic
689	#408	C₂²×C₃	1	1	yes	characteristic, complemented
690	#408	C₂²×C₃	1	1	yes	characteristic, complemented
691	C₂×C₂²⋊C₈	C₂²×C₃	1	1	yes	characteristic
692	C₂×C₂²⋊C₈	C₂²×C₃	1	1	yes	characteristic
693	C₂⁴×C₃	—	2	1	no	—
694	C₂⁴×C₃	C₂×D₄	1	1	yes	characteristic
695	C₃×#41	—	2	2	no	—
696	C₃×#41	—	2	2	no	—
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	—	4	1	no	—
702	C₃×#41	—	4	1	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	4	no	—
710	C₃×#41	—	4	4	no	—
711	C₃×#41	—	4	1	no	—
712	C₃×#41	—	4	1	no	—
713	C₃×#41	—	4	1	no	—
714	C₃×#41	—	4	1	no	—
715	C₃×#41	—	4	4	no	—
716	C₃×#41	—	4	4	no	—
717	C₃×#41	—	4	4	no	—
718	C₂×C₃×Q₈	—	2	1	no	—
719	C₂×C₃×Q₈	—	2	1	no	—
720	C₂×C₃×Q₈	—	2	1	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	2	no	—
726	C₂×C₃×Q₈	—	2	2	no	—
727	C₂×C₃×Q₈	—	2	2	no	—
728	C₂×C₃×Q₈	—	4	1	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	4	no	—
734	C₂×C₃×Q₈	—	4	1	no	—
735	C₂×C₃×Q₈	—	4	1	no	—
736	C₂×C₃×Q₈	—	4	1	no	—
737	C₂×C₃×Q₈	—	4	1	no	—
738	C₂×C₃×Q₈	C₂×D₄	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×Q₈	C₂⁴	1	1	yes	characteristic
742	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
743	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
744	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
745	C₂×C₃×Q₈	C₂⁴	1	1	yes	characteristic
746	C₂×C₃×D₄	—	2	1	no	—
747	C₂×C₃×D₄	—	2	2	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	—	4	1	no	—
762	C₂×C₃×D₄	—	4	4	no	—
763	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
764	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
765	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
766	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
767	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
768	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
769	C₂×C₃×D₄	C₂×D₄	1	1	yes	characteristic
770	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
771	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
772	C₂×C₃×D₄	C₂⁴	1	1	yes	characteristic
773	C₂²×C₃×C₄	—	2	1	no	—
774	C₂²×C₃×C₄	—	2	1	no	—
775	C₂²×C₃×C₄	—	2	1	no	—
776	C₂²×C₃×C₄	—	2	1	no	—
777	C₂²×C₃×C₄	—	2	1	no	—
778	C₂²×C₃×C₄	—	2	1	no	—
779	C₂²×C₃×C₄	—	2	1	no	—
780	C₂²×C₃×C₄	—	2	1	no	—
781	C₂²×C₃×C₄	—	2	1	no	—
782	C₂²×C₃×C₄	—	2	1	no	—
783	C₂²×C₃×C₄	—	2	1	no	—
784	C₂²×C₃×C₄	—	2	1	no	—
785	C₂²×C₃×C₄	—	2	1	no	—
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	—	4	1	no	—
794	C₂²×C₃×C₄	—	4	1	no	—
795	C₂²×C₃×C₄	—	4	4	no	—
796	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
797	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
798	C₂²×C₃×C₄	C₂×D₄	1	1	yes	characteristic
799	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
800	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
801	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
802	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
803	C₂²×C₃×C₄	C₂⁴	1	1	yes	characteristic
804	C₃×Q₁₆	—	2	2	no	—
805	C₃×Q₁₆	—	2	2	no	—
806	C₃×Q₁₆	—	2	2	no	—
807	C₃×Q₁₆	—	4	1	no	—
808	C₃×Q₁₆	—	4	1	no	—
809	C₃×Q₁₆	—	4	1	no	—
810	C₃×Q₁₆	—	4	1	no	—
811	C₃×Q₁₆	—	4	1	no	—
812	C₃×Q₁₆	—	4	1	no	—
813	C₃×Q₁₆	—	4	1	no	—
814	C₃×Q₁₆	—	4	1	no	—
815	C₃×Q₁₆	—	4	1	no	—
816	C₃×SD₁₆	—	2	2	no	—
817	C₃×SD₁₆	—	2	2	no	—
818	C₃×SD₁₆	—	2	2	no	—
819	C₃×SD₁₆	—	2	2	no	—
820	C₃×SD₁₆	—	4	1	no	—
821	C₃×SD₁₆	—	4	1	no	—
822	C₃×SD₁₆	—	4	1	no	—
823	C₃×SD₁₆	—	4	1	no	—
824	C₃×SD₁₆	—	4	1	no	—
825	C₃×SD₁₆	—	4	1	no	—
826	C₃×D₈	—	2	2	no	—
827	C₃×D₈	—	4	1	no	—
828	C₃×M₁₆	—	4	1	no	—
829	C₃×M₁₆	—	4	1	no	—
830	C₂×C₃×C₈	—	4	1	no	—
831	C₂×C₃×C₈	—	4	1	no	—
832	C₂×C₃×C₈	—	4	1	no	—
833	C₂×C₃×C₈	—	4	1	no	—
834	C₂×C₃×C₈	—	4	1	no	—
835	C₂×C₃×C₈	—	4	1	no	—
836	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
837	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
838	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
839	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
840	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
841	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
842	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
843	C₂×C₃×C₈	C₂⁴	1	1	yes	characteristic
844	C₃×C₄⋊C₄	—	2	1	no	—
845	C₃×C₄⋊C₄	—	2	1	no	—
846	C₃×C₄⋊C₄	—	2	1	no	—
847	C₃×C₄⋊C₄	—	2	1	no	—
848	C₃×C₄⋊C₄	—	2	1	no	—
849	C₃×C₄⋊C₄	—	2	1	no	—
850	C₃×C₄⋊C₄	—	2	1	no	—
851	C₃×C₄⋊C₄	—	2	1	no	—
852	C₃×C₄⋊C₄	—	2	1	no	—
853	C₃×C₄⋊C₄	—	2	1	no	—
854	C₃×C₄⋊C₄	—	2	1	no	—
855	C₃×C₄⋊C₄	—	2	1	no	—
856	C₃×C₄⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
877	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
878	C₃×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
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	C₂⁴	1	1	yes	characteristic
883	C₃×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
884	C₃×C₄⋊C₄	C₂⁴	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×C₂²⋊C₄	—	2	1	no	—
889	C₃×C₂²⋊C₄	—	2	1	no	—
890	C₃×C₂²⋊C₄	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
920	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
921	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
922	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
923	C₃×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
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×C₄²	—	2	1	no	—
930	C₃×C₄²	—	2	1	no	—
931	C₃×C₄²	—	2	1	no	—
932	C₃×C₄²	—	2	1	no	—
933	C₃×C₄²	—	2	1	no	—
934	C₃×C₄²	—	2	1	no	—
935	C₃×C₄²	—	2	1	no	—
936	C₃×C₄²	C₂⁴	1	1	yes	characteristic
937	C₃×C₄²	C₂⁴	1	1	yes	characteristic
938	2₋¹⁺⁴	—	4	2	no	—
939	2₋¹⁺⁴	—	4	2	no	—
940	C₂×#41	—	2	1	no	—
941	C₂×#41	—	2	1	no	—
942	C₂×#41	—	2	1	no	—
943	C₂×#41	—	2	1	no	—
944	C₂×#41	—	2	1	no	—
945	C₂×#41	—	4	2	no	—
946	C₂×#41	—	4	2	no	—
947	C₂×#41	C₂³×C₃	1	1	yes	characteristic
948	C₂×#41	C₂³×C₃	1	1	yes	characteristic
949	C₂×#41	C₂³×C₃	1	1	yes	characteristic
950	C₂×#41	C₂³×C₃	1	1	yes	characteristic
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	C₂²×Q₈	—	2	1	no	—
957	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
958	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
959	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
960	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
961	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
962	C₂²×Q₈	C₂³×C₃	1	1	yes	characteristic
963	C₂²×D₄	—	2	1	no	—
964	C₂²×D₄	C₂³×C₃	1	1	yes	characteristic
965	C₂³×C₄	—	2	1	no	—
966	C₂³×C₄	C₂³×C₃	1	1	yes	characteristic
967	#137	—	4	2	no	—
968	#137	—	4	2	no	—
969	#135	—	4	2	no	—
970	#135	—	4	2	no	—
971	#135	—	4	2	no	—
972	C₂×Q₁₆	—	4	2	no	—
973	C₂×Q₁₆	—	4	2	no	—
974	C₂×Q₁₆	C₂³×C₃	1	1	yes	characteristic
975	C₂×Q₁₆	C₂³×C₃	1	1	yes	characteristic
976	C₂×Q₁₆	C₂³×C₃	1	1	yes	characteristic
977	C₂×Q₁₆	C₂³×C₃	1	1	yes	characteristic
978	C₂×Q₁₆	C₂³×C₃	1	1	yes	characteristic
979	C₂×Q₁₆	C₂³×C₃	1	1	yes	characteristic
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×Q₁₆	C₂³×C₃	1	1	yes	characteristic
985	C₂×Q₁₆	C₂³×C₃	1	1	yes	characteristic
986	C₂×SD₁₆	—	4	2	no	—
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×D₈	C₂³×C₃	1	1	yes	characteristic
998	C₂×D₈	C₂³×C₃	1	1	yes	characteristic
999	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
1000	C₂×M₁₆	C₂³×C₃	1	1	yes	characteristic
1001	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
1002	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
1003	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
1004	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
1005	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
1006	C₂²×C₈	C₂³×C₃	1	1	yes	characteristic
1007	C₄⋊Q₈	—	2	1	no	—
1008	C₄⋊Q₈	—	2	1	no	—
1009	C₄⋊Q₈	—	2	1	no	—
1010	C₄⋊Q₈	—	2	1	no	—
1011	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1012	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1013	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1014	C₄⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1015	#126	—	2	1	no	—
1016	#126	—	2	1	no	—
1017	#126	—	2	1	no	—
1018	#126	—	2	1	no	—
1019	#126	—	2	1	no	—
1020	#126	—	2	1	no	—
1021	#126	—	2	1	no	—
1022	#125	—	2	1	no	—
1023	#125	—	2	1	no	—
1024	#125	—	2	1	no	—
1025	#125	—	2	1	no	—
1026	#125	C₂³×C₃	1	1	yes	characteristic
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	—	2	1	no	—
1033	#124	—	2	1	no	—
1034	#124	C₂³×C₃	1	1	yes	characteristic
1035	#124	C₂³×C₃	1	1	yes	characteristic
1036	#124	C₂³×C₃	1	1	yes	characteristic
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	—	2	1	no	—
1070	C₂²⋊Q₈	—	2	1	no	—
1071	C₂²⋊Q₈	—	2	1	no	—
1072	C₂²⋊Q₈	—	2	1	no	—
1073	C₂²⋊Q₈	—	2	1	no	—
1074	C₂²⋊Q₈	—	2	1	no	—
1075	C₂²⋊Q₈	—	2	1	no	—
1076	C₂²⋊Q₈	C₃×D₄	1	1	yes	characteristic
1077	C₂²⋊Q₈	C₃×D₄	1	1	yes	characteristic
1078	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1079	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1080	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1081	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1082	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1083	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1084	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1085	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1086	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1087	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1088	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1089	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1090	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1091	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
1092	C₂²⋊Q₈	C₂³×C₃	1	1	yes	characteristic
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	—	2	1	no	—
1104	#121	—	2	1	no	—
1105	#121	—	2	1	no	—
1106	#121	—	2	1	no	—
1107	#121	—	2	1	no	—
1108	#121	—	2	1	no	—
1109	#121	C₃×D₄	1	1	yes	characteristic
1110	#121	C₃×D₄	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	C₃×D₄	1	1	yes	characteristic
1120	#120	C₃×D₄	1	1	yes	characteristic
1121	C₄×Q₈	—	2	1	no	—
1122	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1123	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1124	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1125	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1126	C₄×Q₈	C₂³×C₃	1	1	yes	characteristic
1127	C₄×D₄	—	2	1	no	—
1128	C₄×D₄	—	2	1	no	—
1129	C₄×D₄	—	2	1	no	—
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	#117	—	2	1	no	—
1148	#117	—	2	1	no	—
1149	#117	C₂³×C₃	1	1	yes	characteristic
1150	#117	C₂³×C₃	1	1	yes	characteristic
1151	#117	C₂³×C₃	1	1	yes	characteristic
1152	C₂×C₄⋊C₄	—	2	1	no	—
1153	C₂×C₄⋊C₄	—	2	1	no	—
1154	C₂×C₄⋊C₄	—	2	1	no	—
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	C₂³×C₃	1	1	yes	characteristic
1159	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1160	C₂×C₄⋊C₄	C₂³×C₃	1	1	yes	characteristic
1161	C₂×C₂²⋊C₄	—	2	1	no	—
1162	C₂×C₂²⋊C₄	—	2	1	no	—
1163	C₂×C₂²⋊C₄	—	2	1	no	—
1164	C₂×C₂²⋊C₄	—	2	1	no	—
1165	#107	C₂³×C₃	1	1	yes	characteristic
1166	#107	C₂³×C₃	1	1	yes	characteristic
1167	#107	C₂³×C₃	1	1	yes	characteristic
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	#106	C₂³×C₃	1	1	yes	characteristic
1172	#106	C₂³×C₃	1	1	yes	characteristic
1173	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
1174	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
1175	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
1176	C₄⋊C₈	C₂³×C₃	1	1	yes	characteristic
1177	#103	C₂³×C₃	1	1	yes	characteristic
1178	#103	C₂³×C₃	1	1	yes	characteristic
1179	#103	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	#103	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	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1210	C₂²⋊C₈	C₂³×C₃	1	1	yes	characteristic
1211	C₂²⋊C₈	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	#97	C₂³×C₃	1	1	yes	characteristic
1222	#97	C₂³×C₃	1	1	yes	characteristic
1223	C₄×C₈	C₂³×C₃	1	1	yes	characteristic
1224	C₄×C₈	C₂³×C₃	1	1	yes	characteristic
1225	C₂³×C₃	—	2	1	no	—
1226	C₂³×C₃	—	2	2	no	—
1227	C₂³×C₃	—	2	1	no	—
1228	C₂³×C₃	—	2	1	no	—
1229	C₂³×C₃	—	4	1	no	—
1230	C₂³×C₃	—	4	1	no	—
1231	C₂³×C₃	—	4	2	no	—
1232	C₂³×C₃	—	4	2	no	—
1233	C₂³×C₃	—	8	1	no	—
1234	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1235	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1236	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1237	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1238	C₂³×C₃	C₂²×D₄	1	1	yes	characteristic
1239	C₃×Q₈	—	2	1	no	—
1240	C₃×Q₈	—	2	1	no	—
1241	C₃×Q₈	—	2	1	no	—
1242	C₃×Q₈	—	2	1	no	—
1243	C₃×Q₈	—	2	1	no	—
1244	C₃×Q₈	—	2	1	no	—
1245	C₃×Q₈	—	2	1	no	—
1246	C₃×Q₈	—	2	1	no	—
1247	C₃×Q₈	—	2	1	no	—
1248	C₃×Q₈	—	2	1	no	—
1249	C₃×Q₈	—	2	1	no	—
1250	C₃×Q₈	—	2	1	no	—
1251	C₃×Q₈	—	2	1	no	—
1252	C₃×Q₈	—	4	1	no	—
1253	C₃×Q₈	—	4	2	no	—
1254	C₃×Q₈	—	4	2	no	—
1255	C₃×Q₈	—	4	2	no	—
1256	C₃×Q₈	—	4	2	no	—
1257	C₃×Q₈	—	8	1	no	—
1258	C₃×Q₈	—	8	1	no	—
1259	C₃×Q₈	—	8	1	no	—
1260	C₃×Q₈	H(5,𝔽₂)	1	2	yes	—
1261	C₃×D₄	—	2	4	no	—
1262	C₃×D₄	—	2	2	no	—
1263	C₃×D₄	—	2	2	no	—
1264	C₃×D₄	—	2	1	no	—
1265	C₃×D₄	—	2	1	no	—
1266	C₃×D₄	—	2	1	no	—
1267	C₃×D₄	—	2	1	no	—
1268	C₃×D₄	—	2	1	no	—
1269	C₃×D₄	—	4	1	no	—
1270	C₃×D₄	—	4	1	no	—
1271	C₃×D₄	—	4	1	no	—
1272	C₃×D₄	—	4	1	no	—
1273	C₃×D₄	—	4	1	no	—
1274	C₃×D₄	—	4	2	no	—
1275	C₃×D₄	—	4	2	no	—
1276	C₃×D₄	—	4	2	no	—
1277	C₃×D₄	—	4	2	no	—
1278	C₃×D₄	—	4	2	no	—
1279	C₃×D₄	—	4	2	no	—
1280	C₃×D₄	—	4	2	no	—
1281	C₃×D₄	—	8	1	no	—
1282	C₃×D₄	—	8	1	no	—
1283	C₃×D₄	—	8	1	no	—
1284	C₃×D₄	—	8	1	no	—
1285	C₃×D₄	—	8	1	no	—
1286	C₃×D₄	—	8	1	no	—
1287	C₃×D₄	H(5,𝔽₂)	1	2	yes	—
1288	C₂×C₃×C₄	—	2	4	no	—
1289	C₂×C₃×C₄	—	2	1	no	—
1290	C₂×C₃×C₄	—	2	1	no	—
1291	C₂×C₃×C₄	—	2	1	no	—
1292	C₂×C₃×C₄	—	2	1	no	—
1293	C₂×C₃×C₄	—	2	1	no	—
1294	C₂×C₃×C₄	—	2	1	no	—
1295	C₂×C₃×C₄	—	2	1	no	—
1296	C₂×C₃×C₄	—	2	1	no	—
1297	C₂×C₃×C₄	—	2	1	no	—
1298	C₂×C₃×C₄	—	2	1	no	—
1299	C₂×C₃×C₄	—	2	1	no	—
1300	C₂×C₃×C₄	—	2	1	no	—
1301	C₂×C₃×C₄	—	2	1	no	—
1302	C₂×C₃×C₄	—	2	1	no	—
1303	C₂×C₃×C₄	—	2	1	no	—
1304	C₂×C₃×C₄	—	2	1	no	—
1305	C₂×C₃×C₄	—	2	1	no	—
1306	C₂×C₃×C₄	—	2	1	no	—
1307	C₂×C₃×C₄	—	2	1	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	—	4	1	no	—
1313	C₂×C₃×C₄	—	4	1	no	—
1314	C₂×C₃×C₄	—	4	1	no	—
1315	C₂×C₃×C₄	—	4	2	no	—
1316	C₂×C₃×C₄	—	4	2	no	—
1317	C₂×C₃×C₄	—	4	2	no	—
1318	C₂×C₃×C₄	—	4	2	no	—
1319	C₂×C₃×C₄	—	4	2	no	—
1320	C₂×C₃×C₄	—	4	2	no	—
1321	C₂×C₃×C₄	—	4	2	no	—
1322	C₂×C₃×C₄	—	4	2	no	—
1323	C₂×C₃×C₄	—	4	2	no	—
1324	C₂×C₃×C₄	—	8	1	no	—
1325	C₂×C₃×C₄	—	8	1	no	—
1326	C₂×C₃×C₄	—	8	1	no	—
1327	C₂×C₃×C₄	—	8	1	no	—
1328	C₂×C₃×C₄	—	8	1	no	—
1329	C₂×C₃×C₄	—	8	1	no	—
1330	C₂×C₃×C₄	—	8	1	no	—
1331	C₂×C₃×C₄	—	8	1	no	—
1332	C₂×C₃×C₄	—	8	1	no	—
1333	C₂×C₃×C₄	—	8	1	no	—
1334	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1335	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1336	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1337	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1338	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1339	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1340	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1341	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1342	C₂×C₃×C₄	C₂²×D₄	1	1	yes	characteristic
1343	C₂×C₃×C₄	C₂⁵	1	1	yes	characteristic
1344	C₃×C₈	—	2	1	no	—
1345	C₃×C₈	—	2	1	no	—
1346	C₃×C₈	—	2	1	no	—
1347	C₃×C₈	—	2	1	no	—
1348	C₃×C₈	—	2	1	no	—
1349	C₃×C₈	—	2	1	no	—
1350	C₃×C₈	—	2	1	no	—
1351	C₃×C₈	—	2	1	no	—
1352	C₂⁴	—	2	1	no	—
1353	C₂⁴	C₂×C₃×D₄	1	1	yes	characteristic
1354	#41	—	2	2	no	—
1355	#41	—	2	2	no	—
1356	#41	—	2	2	no	—
1357	#41	—	2	2	no	—
1358	#41	—	2	2	no	—
1359	#41	—	2	2	no	—
1360	#41	—	4	1	no	—
1361	#41	—	4	1	no	—
1362	#41	—	4	1	no	—
1363	#41	—	4	1	no	—
1364	#41	—	4	1	no	—
1365	#41	—	4	1	no	—
1366	#41	—	4	1	no	—
1367	#41	—	4	1	no	—
1368	#41	—	4	4	no	—
1369	#41	—	4	4	no	—
1370	#41	—	4	1	no	—
1371	#41	—	4	1	no	—
1372	#41	—	4	1	no	—
1373	#41	—	4	1	no	—
1374	#41	—	4	4	no	—
1375	#41	—	4	4	no	—
1376	#41	—	4	4	no	—
1377	C₂×Q₈	—	2	1	no	—
1378	C₂×Q₈	—	2	1	no	—
1379	C₂×Q₈	—	2	1	no	—
1380	C₂×Q₈	—	2	1	no	—
1381	C₂×Q₈	—	2	1	no	—
1382	C₂×Q₈	—	2	1	no	—
1383	C₂×Q₈	—	2	1	no	—
1384	C₂×Q₈	—	2	2	no	—
1385	C₂×Q₈	—	2	2	no	—
1386	C₂×Q₈	—	2	2	no	—
1387	C₂×Q₈	—	4	1	no	—
1388	C₂×Q₈	—	4	1	no	—
1389	C₂×Q₈	—	4	1	no	—
1390	C₂×Q₈	—	4	1	no	—
1391	C₂×Q₈	—	4	1	no	—
1392	C₂×Q₈	—	4	4	no	—
1393	C₂×Q₈	—	4	1	no	—
1394	C₂×Q₈	—	4	1	no	—
1395	C₂×Q₈	—	4	1	no	—
1396	C₂×Q₈	—	4	1	no	—
1397	C₂×Q₈	C₂×C₃×D₄	1	1	yes	characteristic
1398	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1399	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1400	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1401	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1402	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1403	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1404	C₂×Q₈	C₂⁴×C₃	1	1	yes	characteristic
1405	C₂×D₄	—	2	1	no	—
1406	C₂×D₄	—	2	2	no	—
1407	C₂×D₄	—	2	1	no	—
1408	C₂×D₄	—	2	1	no	—
1409	C₂×D₄	—	2	1	no	—
1410	C₂×D₄	—	2	1	no	—
1411	C₂×D₄	—	2	1	no	—
1412	C₂×D₄	—	2	1	no	—
1413	C₂×D₄	—	2	1	no	—
1414	C₂×D₄	—	2	1	no	—
1415	C₂×D₄	—	2	1	no	—
1416	C₂×D₄	—	2	1	no	—
1417	C₂×D₄	—	2	1	no	—
1418	C₂×D₄	—	2	1	no	—
1419	C₂×D₄	—	2	1	no	—
1420	C₂×D₄	—	4	1	no	—
1421	C₂×D₄	—	4	4	no	—
1422	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1423	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1424	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1425	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1426	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1427	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1428	C₂×D₄	C₂×C₃×D₄	1	1	yes	characteristic
1429	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1430	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1431	C₂×D₄	C₂⁴×C₃	1	1	yes	characteristic
1432	C₂²×C₄	—	2	1	no	—
1433	C₂²×C₄	—	2	1	no	—
1434	C₂²×C₄	—	2	1	no	—
1435	C₂²×C₄	—	2	1	no	—
1436	C₂²×C₄	—	2	1	no	—
1437	C₂²×C₄	—	2	1	no	—
1438	C₂²×C₄	—	2	1	no	—
1439	C₂²×C₄	—	2	1	no	—
1440	C₂²×C₄	—	2	1	no	—
1441	C₂²×C₄	—	2	1	no	—
1442	C₂²×C₄	—	2	1	no	—
1443	C₂²×C₄	—	2	1	no	—
1444	C₂²×C₄	—	2	1	no	—
1445	C₂²×C₄	—	2	1	no	—
1446	C₂²×C₄	—	2	1	no	—
1447	C₂²×C₄	—	2	1	no	—
1448	C₂²×C₄	—	2	1	no	—
1449	C₂²×C₄	—	2	1	no	—
1450	C₂²×C₄	—	2	1	no	—
1451	C₂²×C₄	—	2	1	no	—
1452	C₂²×C₄	—	4	1	no	—
1453	C₂²×C₄	—	4	1	no	—
1454	C₂²×C₄	—	4	4	no	—
1455	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1456	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1457	C₂²×C₄	C₂×C₃×D₄	1	1	yes	characteristic
1458	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1459	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1460	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1461	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1462	C₂²×C₄	C₂⁴×C₃	1	1	yes	characteristic
1463	Q₁₆	—	2	2	no	—
1464	Q₁₆	—	2	2	no	—
1465	Q₁₆	—	2	2	no	—
1466	Q₁₆	—	4	1	no	—
1467	Q₁₆	—	4	1	no	—
1468	Q₁₆	—	4	1	no	—
1469	Q₁₆	—	4	1	no	—
1470	Q₁₆	—	4	1	no	—
1471	Q₁₆	—	4	1	no	—
1472	Q₁₆	—	4	1	no	—
1473	Q₁₆	—	4	1	no	—
1474	Q₁₆	—	4	1	no	—
1475	SD₁₆	—	2	2	no	—
1476	SD₁₆	—	2	2	no	—
1477	SD₁₆	—	2	2	no	—
1478	SD₁₆	—	2	2	no	—
1479	SD₁₆	—	4	1	no	—
1480	SD₁₆	—	4	1	no	—
1481	SD₁₆	—	4	1	no	—
1482	SD₁₆	—	4	1	no	—
1483	SD₁₆	—	4	1	no	—
1484	SD₁₆	—	4	1	no	—
1485	D₈	—	2	2	no	—
1486	D₈	—	4	1	no	—
1487	M₁₆	—	4	1	no	—
1488	M₁₆	—	4	1	no	—
1489	C₂×C₈	—	4	1	no	—
1490	C₂×C₈	—	4	1	no	—
1491	C₂×C₈	—	4	1	no	—
1492	C₂×C₈	—	4	1	no	—
1493	C₂×C₈	—	4	1	no	—
1494	C₂×C₈	—	4	1	no	—
1495	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1496	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1497	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1498	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1499	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1500	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1501	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1502	C₂×C₈	C₂⁴×C₃	1	1	yes	characteristic
1503	C₄⋊C₄	—	2	1	no	—
1504	C₄⋊C₄	—	2	1	no	—
1505	C₄⋊C₄	—	2	1	no	—
1506	C₄⋊C₄	—	2	1	no	—
1507	C₄⋊C₄	—	2	1	no	—
1508	C₄⋊C₄	—	2	1	no	—
1509	C₄⋊C₄	—	2	1	no	—
1510	C₄⋊C₄	—	2	1	no	—
1511	C₄⋊C₄	—	2	1	no	—
1512	C₄⋊C₄	—	2	1	no	—
1513	C₄⋊C₄	—	2	1	no	—
1514	C₄⋊C₄	—	2	1	no	—
1515	C₄⋊C₄	—	2	1	no	—
1516	C₄⋊C₄	—	2	1	no	—
1517	C₄⋊C₄	—	2	1	no	—
1518	C₄⋊C₄	—	2	1	no	—
1519	C₄⋊C₄	—	2	1	no	—
1520	C₄⋊C₄	—	2	1	no	—
1521	C₄⋊C₄	—	2	1	no	—
1522	C₄⋊C₄	—	2	1	no	—
1523	C₄⋊C₄	—	2	1	no	—
1524	C₄⋊C₄	—	2	1	no	—
1525	C₄⋊C₄	—	2	1	no	—
1526	C₄⋊C₄	—	2	1	no	—
1527	C₄⋊C₄	—	2	1	no	—
1528	C₄⋊C₄	—	2	1	no	—
1529	C₄⋊C₄	—	2	1	no	—
1530	C₄⋊C₄	—	2	1	no	—
1531	C₄⋊C₄	—	2	1	no	—
1532	C₄⋊C₄	—	2	1	no	—
1533	C₄⋊C₄	—	2	1	no	—
1534	C₄⋊C₄	—	2	1	no	—
1535	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1536	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1537	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1538	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1539	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1540	C₄⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1541	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1542	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1543	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1544	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1545	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1546	C₄⋊C₄	C₂⁴×C₃	1	1	yes	characteristic
1547	C₂²⋊C₄	—	2	1	no	—
1548	C₂²⋊C₄	—	2	1	no	—
1549	C₂²⋊C₄	—	2	1	no	—
1550	C₂²⋊C₄	—	2	1	no	—
1551	C₂²⋊C₄	—	2	1	no	—
1552	C₂²⋊C₄	—	2	1	no	—
1553	C₂²⋊C₄	—	2	1	no	—
1554	C₂²⋊C₄	—	2	1	no	—
1555	C₂²⋊C₄	—	2	1	no	—
1556	C₂²⋊C₄	—	2	1	no	—
1557	C₂²⋊C₄	—	2	1	no	—
1558	C₂²⋊C₄	—	2	1	no	—
1559	C₂²⋊C₄	—	2	1	no	—
1560	C₂²⋊C₄	—	2	1	no	—
1561	C₂²⋊C₄	—	2	1	no	—
1562	C₂²⋊C₄	—	2	1	no	—
1563	C₂²⋊C₄	—	2	1	no	—
1564	C₂²⋊C₄	—	2	1	no	—
1565	C₂²⋊C₄	—	2	1	no	—
1566	C₂²⋊C₄	—	2	1	no	—
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	C₂×C₃×D₄	1	1	yes	characteristic
1579	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1580	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1581	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1582	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1583	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1584	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1585	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1586	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1587	C₂²⋊C₄	C₂×C₃×D₄	1	1	yes	characteristic
1588	C₄²	—	2	1	no	—
1589	C₄²	—	2	1	no	—
1590	C₄²	—	2	1	no	—
1591	C₄²	—	2	1	no	—
1592	C₄²	—	2	1	no	—
1593	C₄²	—	2	1	no	—
1594	C₄²	—	2	1	no	—
1595	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1596	C₄²	C₂⁴×C₃	1	1	yes	characteristic
1597	C₂²×C₃	—	2	1	no	—
1598	C₂²×C₃	—	2	1	no	—
1599	C₂²×C₃	—	2	1	no	—
1600	C₂²×C₃	—	2	1	no	—
1601	C₂²×C₃	—	2	1	no	—
1602	C₂²×C₃	—	2	1	no	—
1603	C₂²×C₃	—	2	1	no	—
1604	C₂²×C₃	—	2	2	no	—
1605	C₂²×C₃	—	2	1	no	—
1606	C₂²×C₃	—	2	1	no	—
1607	C₂²×C₃	—	2	1	no	—
1608	C₂²×C₃	—	2	1	no	—
1609	C₂²×C₃	—	2	1	no	—
1610	C₂²×C₃	—	2	1	no	—
1611	C₂²×C₃	—	2	1	no	—
1612	C₂²×C₃	—	4	1	no	—
1613	C₂²×C₃	—	4	1	no	—
1614	C₂²×C₃	—	4	1	no	—
1615	C₂²×C₃	—	4	1	no	—
1616	C₂²×C₃	—	4	1	no	—
1617	C₂²×C₃	—	4	1	no	—
1618	C₂²×C₃	—	4	1	no	—
1619	C₂²×C₃	—	4	1	no	—
1620	C₂²×C₃	—	8	2	no	—
1621	C₂²×C₃	—	8	4	no	—
1622	C₂²×C₃	#578	1	2	yes	—
1623	C₂²×C₃	C₂³×D₄	1	1	yes	characteristic
1624	C₃×C₄	—	2	1	no	—
1625	C₃×C₄	—	2	1	no	—
1626	C₃×C₄	—	2	1	no	—
1627	C₃×C₄	—	2	2	no	—
1628	C₃×C₄	—	2	1	no	—
1629	C₃×C₄	—	2	1	no	—
1630	C₃×C₄	—	2	1	no	—
1631	C₃×C₄	—	2	1	no	—
1632	C₃×C₄	—	2	1	no	—
1633	C₃×C₄	—	2	1	no	—
1634	C₃×C₄	—	4	1	no	—
1635	C₃×C₄	—	4	1	no	—
1636	C₃×C₄	—	4	1	no	—
1637	C₃×C₄	—	4	1	no	—
1638	C₃×C₄	—	4	1	no	—
1639	C₃×C₄	—	4	1	no	—
1640	C₃×C₄	—	4	1	no	—
1641	C₃×C₄	—	4	1	no	—
1642	C₃×C₄	—	4	1	no	—
1643	C₃×C₄	—	4	1	no	—
1644	C₃×C₄	—	4	1	no	—
1645	C₃×C₄	—	4	1	no	—
1646	C₃×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1647	C₃×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1648	C₂³	—	2	1	no	—
1649	C₂³	—	2	2	no	—
1650	C₂³	—	2	1	no	—
1651	C₂³	—	2	1	no	—
1652	C₂³	—	4	1	no	—
1653	C₂³	—	4	1	no	—
1654	C₂³	—	4	2	no	—
1655	C₂³	—	4	2	no	—
1656	C₂³	—	8	1	no	—
1657	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1658	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1659	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1660	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1661	C₂³	C₂²×C₃×D₄	1	1	yes	characteristic
1662	Q₈	—	2	1	no	—
1663	Q₈	—	2	1	no	—
1664	Q₈	—	2	1	no	—
1665	Q₈	—	2	1	no	—
1666	Q₈	—	2	1	no	—
1667	Q₈	—	2	1	no	—
1668	Q₈	—	2	1	no	—
1669	Q₈	—	2	1	no	—
1670	Q₈	—	2	1	no	—
1671	Q₈	—	2	1	no	—
1672	Q₈	—	2	1	no	—
1673	Q₈	—	2	1	no	—
1674	Q₈	—	2	1	no	—
1675	Q₈	—	4	1	no	—
1676	Q₈	—	4	2	no	—
1677	Q₈	—	4	2	no	—
1678	Q₈	—	4	2	no	—
1679	Q₈	—	4	2	no	—
1680	Q₈	—	8	1	no	—
1681	Q₈	—	8	1	no	—
1682	Q₈	—	8	1	no	—
1683	Q₈	C₃×H(5,𝔽₂)	1	2	yes	—
1684	D₄	—	2	4	no	—
1685	D₄	—	2	2	no	—
1686	D₄	—	2	2	no	—
1687	D₄	—	2	1	no	—
1688	D₄	—	2	1	no	—
1689	D₄	—	2	1	no	—
1690	D₄	—	2	1	no	—
1691	D₄	—	2	1	no	—
1692	D₄	—	4	1	no	—
1693	D₄	—	4	1	no	—
1694	D₄	—	4	1	no	—
1695	D₄	—	4	1	no	—
1696	D₄	—	4	1	no	—
1697	D₄	—	4	2	no	—
1698	D₄	—	4	2	no	—
1699	D₄	—	4	2	no	—
1700	D₄	—	4	2	no	—
1701	D₄	—	4	2	no	—
1702	D₄	—	4	2	no	—
1703	D₄	—	4	2	no	—
1704	D₄	—	8	1	no	—
1705	D₄	—	8	1	no	—
1706	D₄	—	8	1	no	—
1707	D₄	—	8	1	no	—
1708	D₄	—	8	1	no	—
1709	D₄	—	8	1	no	—
1710	D₄	C₃×H(5,𝔽₂)	1	2	yes	—
1711	C₂×C₄	—	2	4	no	—
1712	C₂×C₄	—	2	1	no	—
1713	C₂×C₄	—	2	1	no	—
1714	C₂×C₄	—	2	1	no	—
1715	C₂×C₄	—	2	1	no	—
1716	C₂×C₄	—	2	1	no	—
1717	C₂×C₄	—	2	1	no	—
1718	C₂×C₄	—	2	1	no	—
1719	C₂×C₄	—	2	1	no	—
1720	C₂×C₄	—	2	1	no	—
1721	C₂×C₄	—	2	1	no	—
1722	C₂×C₄	—	2	1	no	—
1723	C₂×C₄	—	2	1	no	—
1724	C₂×C₄	—	2	1	no	—
1725	C₂×C₄	—	2	1	no	—
1726	C₂×C₄	—	2	1	no	—
1727	C₂×C₄	—	2	1	no	—
1728	C₂×C₄	—	2	1	no	—
1729	C₂×C₄	—	2	1	no	—
1730	C₂×C₄	—	2	1	no	—
1731	C₂×C₄	—	2	1	no	—
1732	C₂×C₄	—	2	1	no	—
1733	C₂×C₄	—	2	1	no	—
1734	C₂×C₄	—	2	1	no	—
1735	C₂×C₄	—	4	1	no	—
1736	C₂×C₄	—	4	1	no	—
1737	C₂×C₄	—	4	1	no	—
1738	C₂×C₄	—	4	2	no	—
1739	C₂×C₄	—	4	2	no	—
1740	C₂×C₄	—	4	2	no	—
1741	C₂×C₄	—	4	2	no	—
1742	C₂×C₄	—	4	2	no	—
1743	C₂×C₄	—	4	2	no	—
1744	C₂×C₄	—	4	2	no	—
1745	C₂×C₄	—	4	2	no	—
1746	C₂×C₄	—	4	2	no	—
1747	C₂×C₄	—	8	1	no	—
1748	C₂×C₄	—	8	1	no	—
1749	C₂×C₄	—	8	1	no	—
1750	C₂×C₄	—	8	1	no	—
1751	C₂×C₄	—	8	1	no	—
1752	C₂×C₄	—	8	1	no	—
1753	C₂×C₄	—	8	1	no	—
1754	C₂×C₄	—	8	1	no	—
1755	C₂×C₄	—	8	1	no	—
1756	C₂×C₄	—	8	1	no	—
1757	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1758	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1759	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1760	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1761	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1762	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1763	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1764	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1765	C₂×C₄	C₂²×C₃×D₄	1	1	yes	characteristic
1766	C₂×C₄	C₂⁵×C₃	1	1	yes	characteristic
1767	C₈	—	2	1	no	—
1768	C₈	—	2	1	no	—
1769	C₈	—	2	1	no	—
1770	C₈	—	2	1	no	—
1771	C₈	—	2	1	no	—
1772	C₈	—	2	1	no	—
1773	C₈	—	2	1	no	—
1774	C₈	—	2	1	no	—
1775	C₂×C₃	—	2	2	no	—
1776	C₂×C₃	—	4	1	no	—
1777	C₂×C₃	—	4	1	no	—
1778	C₂×C₃	—	4	1	no	—
1779	C₂×C₃	—	4	1	no	—
1780	C₂×C₃	—	4	2	no	—
1781	C₂×C₃	—	8	1	no	—
1782	C₂×C₃	—	8	1	no	—
1783	C₂×C₃	#3484	1	1	yes	characteristic
1784	C₂×C₃	C₂×#578	1	1	yes	characteristic
1785	C₂×C₃	#3584	1	1	yes	characteristic
1786	C₂²	—	2	1	no	—
1787	C₂²	—	2	1	no	—
1788	C₂²	—	2	1	no	—
1789	C₂²	—	2	2	no	—
1790	C₂²	—	2	1	no	—
1791	C₂²	—	2	1	no	—
1792	C₂²	—	2	1	no	—
1793	C₂²	—	2	1	no	—
1794	C₂²	—	2	1	no	—
1795	C₂²	—	2	1	no	—
1796	C₂²	—	2	1	no	—
1797	C₂²	—	2	1	no	—
1798	C₂²	—	2	1	no	—
1799	C₂²	—	2	1	no	—
1800	C₂²	—	2	1	no	—
1801	C₂²	—	4	1	no	—
1802	C₂²	—	4	1	no	—
1803	C₂²	—	4	1	no	—
1804	C₂²	—	4	1	no	—
1805	C₂²	—	4	1	no	—
1806	C₂²	—	4	1	no	—
1807	C₂²	—	4	1	no	—
1808	C₂²	—	4	1	no	—
1809	C₂²	—	8	2	no	—
1810	C₂²	—	8	4	no	—
1811	C₂²	C₃×#578	1	2	yes	—
1812	C₂²	C₂³×C₃×D₄	1	1	yes	characteristic
1813	C₄	—	2	1	no	—
1814	C₄	—	2	2	no	—
1815	C₄	—	2	1	no	—
1816	C₄	—	2	1	no	—
1817	C₄	—	2	1	no	—
1818	C₄	—	2	1	no	—
1819	C₄	—	2	1	no	—
1820	C₄	—	2	1	no	—
1821	C₄	—	2	1	no	—
1822	C₄	—	2	1	no	—
1823	C₄	—	4	1	no	—
1824	C₄	—	4	1	no	—
1825	C₄	—	4	1	no	—
1826	C₄	—	4	1	no	—
1827	C₄	—	4	1	no	—
1828	C₄	—	4	1	no	—
1829	C₄	—	4	1	no	—
1830	C₄	—	4	1	no	—
1831	C₄	—	4	1	no	—
1832	C₄	—	4	1	no	—
1833	C₄	—	4	1	no	—
1834	C₄	—	4	1	no	—
1835	C₄	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1836	C₄	C₂×C₃×H(5,𝔽₂)	1	1	yes	characteristic
1837	C₃	#61642	1	1	yes	characteristic, direct product factor, Sylow
1838	C₂	—	2	2	no	—
1839	C₂	—	4	1	no	—
1840	C₂	—	4	1	no	—
1841	C₂	—	4	1	no	—
1842	C₂	—	4	1	no	—
1843	C₂	—	4	2	no	—
1844	C₂	—	8	1	no	—
1845	C₂	—	8	1	no	—
1846	C₂	C₃×#3484	1	1	yes	characteristic
1847	C₂	C₂×C₃×#578	1	1	yes	characteristic
1848	C₂	C₃×#3584	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×#3541	C₂	semidirect
2. C₃×#3489	C₂	semidirect
3. C₃×#3320	C₂	semidirect
4. C₃×#3315	C₂	semidirect
5. C₃×#3314	C₂	semidirect
6. C₃×#3313	C₂	semidirect
7. C₃×#3302	C₂	semidirect
8. C₃×#3300	C₂	semidirect
9. C₃×#3299	C₂	semidirect
10. C₃×#3297	C₂	semidirect
11. C₃×D₄×Q₁₆	C₂	semidirect
12. C₃×#3285	C₂	semidirect
13. C₃×#3283	C₂	semidirect
14. C₃×#3282	C₂	semidirect
15. C₃×#3270	C₂	semidirect
16. C₃×#3269	C₂	semidirect
17. C₃×#3269	C₂	semidirect
18. C₃×#3266	C₂	semidirect
19. C₃×#3225	C₂	semidirect
20. C₃×#3223	C₂	semidirect
21. C₃×#3203	C₂	semidirect
22. C₃×#3201	C₂	semidirect
23. C₃×#3190	C₂	semidirect
24. C₃×#3189	C₂	semidirect
25. C₃×#3124	C₂	semidirect
26. C₃×#3120	C₂	semidirect
27. C₃×#3013	C₂	semidirect
28. C₃×#3011	C₂	semidirect
29. C₃×#3002	C₂	semidirect
30. C₂×C₃×#452	C₂	semidirect
31. C₃×#2977	C₂	semidirect
32. #61642	C₃	direct (N × H)
35. C₂×C₃×#137	C₂²	semidirect
36. C₂×C₃×#137	C₂²	semidirect
39. C₂×C₃×#135	C₂²	semidirect
41. C₂²×C₃×Q₁₆	C₂²	semidirect
45. C₃×#556	C₂²	semidirect
50. C₃×#552	C₂²	semidirect
57. C₃×#548	C₂²	semidirect
62. C₃×#547	C₂²	semidirect
68. C₃×#542	C₂²	semidirect
69. C₃×#541	C₂²	semidirect
75. C₃×#537	C₂²	semidirect
78. C₃×#536	C₂²	semidirect
86. C₃×#497	C₂²	semidirect
87. C₃×#497	C₂²	semidirect
88. C₃×#495	C₂²	semidirect
89. C₃×#494	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
99. C₃×#484	C₂²	semidirect
100. C₃×#484	C₂²	semidirect
101. C₃×#484	C₂²	semidirect
102. C₃×#483	C₂²	semidirect
103. C₃×#482	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×#468	C₂²	semidirect
112. C₃×#468	C₂²	semidirect
113. C₃×#468	C₂²	semidirect
116. C₃×#467	C₂²	semidirect
117. C₃×#467	C₂²	semidirect
118. C₃×#467	C₂²	semidirect
119. C₃×#467	C₂²	semidirect
120. C₃×#467	C₂²	semidirect
121. C₃×#467	C₂²	semidirect
122. C₃×#466	C₂²	semidirect
125. C₃×#465	C₂²	semidirect
126. C₃×#464	C₂²	semidirect
127. C₃×#464	C₂²	semidirect
128. C₃×#464	C₂²	semidirect
129. C₃×#464	C₂²	semidirect
130. C₃×#463	C₂²	semidirect
131. C₃×#463	C₂²	semidirect
132. C₃×#462	C₂²	semidirect
133. C₃×#462	C₂²	semidirect
134. C₃×#462	C₂²	semidirect
135. C₃×#462	C₂²	semidirect
136. C₃×#461	C₂²	semidirect
137. C₃×#461	C₂²	semidirect
148. C₃×#452	C₂²	semidirect
149. C₃×#452	C₂²	semidirect
150. C₃×#452	C₂²	semidirect
151. C₃×#452	C₂²	semidirect
152. C₃×#452	C₂²	semidirect
153. C₃×#452	C₂²	semidirect
157. C₃×#451	C₂²	semidirect
158. C₃×#451	C₂²	semidirect
159. C₃×#451	C₂²	semidirect
160. C₃×#451	C₂²	semidirect
161. C₃×#451	C₂²	semidirect
162. C₃×#451	C₂²	semidirect
163. C₃×#451	C₂²	semidirect
167. C₃×#449	C₂²	semidirect
168. C₃×#449	C₂²	semidirect
170. C₃×#448	C₂²	semidirect
171. C₃×#448	C₂²	semidirect
172. C₃×#448	C₂²	semidirect
174. C₃×#441	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×Q₁₆	C₂²	semidirect
180. C₃×C₄×SD₁₆	C₂²	semidirect
181. C₃×C₄×D₈	C₂²	semidirect
184. C₃×#435	C₂²	semidirect
185. C₃×#435	C₂²	semidirect
188. C₃×C₈×D₄	C₂²	semidirect
189. C₃×C₈×D₄	C₂²	semidirect
190. C₃×#433	C₂²	semidirect
191. C₃×#433	C₂²	semidirect
192. C₃×#419	C₂²	semidirect
193. C₃×#417	C₂²	semidirect
196. C₃×#416	C₂²	semidirect
198. C₂×C₃×#103	C₂²	semidirect
200. C₃×#408	C₂²	semidirect
201. C₃×#408	C₂²	semidirect
204. #3541	C₂×C₃	semidirect
205. #3489	C₂×C₃	semidirect
206. #3320	C₂×C₃	semidirect
207. #3315	C₂×C₃	semidirect
208. #3314	C₂×C₃	semidirect
209. #3313	C₂×C₃	semidirect
210. #3302	C₂×C₃	semidirect
211. #3300	C₂×C₃	semidirect
212. #3299	C₂×C₃	semidirect
213. #3297	C₂×C₃	semidirect
214. D₄×Q₁₆	C₂×C₃	semidirect
215. #3285	C₂×C₃	semidirect
216. #3283	C₂×C₃	semidirect
217. #3282	C₂×C₃	semidirect
218. #3270	C₂×C₃	semidirect
219. #3269	C₂×C₃	semidirect
220. #3269	C₂×C₃	semidirect
221. #3266	C₂×C₃	semidirect
222. #3225	C₂×C₃	semidirect
223. #3223	C₂×C₃	semidirect
224. #3203	C₂×C₃	semidirect
225. #3201	C₂×C₃	semidirect
226. #3190	C₂×C₃	semidirect
227. #3189	C₂×C₃	semidirect
228. #3124	C₂×C₃	semidirect
229. #3120	C₂×C₃	semidirect
230. #3013	C₂×C₃	semidirect
231. #3011	C₂×C₃	semidirect
232. #3002	C₂×C₃	semidirect
233. C₂×#452	C₂×C₃	semidirect
234. #2977	C₂×C₃	semidirect
524. C₂×#137	C₂²×C₃	semidirect
525. C₂×#137	C₂²×C₃	semidirect
528. C₂×#135	C₂²×C₃	semidirect
530. C₂²×Q₁₆	C₂²×C₃	semidirect
534. #556	C₂²×C₃	semidirect
539. #552	C₂²×C₃	semidirect
546. #548	C₂²×C₃	semidirect
551. #547	C₂²×C₃	semidirect
557. #542	C₂²×C₃	semidirect
558. #541	C₂²×C₃	semidirect
564. #537	C₂²×C₃	semidirect
567. #536	C₂²×C₃	semidirect
575. #497	C₂²×C₃	semidirect
576. #497	C₂²×C₃	semidirect
577. #495	C₂²×C₃	semidirect
578. #494	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
588. #484	C₂²×C₃	semidirect
589. #484	C₂²×C₃	semidirect
590. #484	C₂²×C₃	semidirect
591. #483	C₂²×C₃	semidirect
592. #482	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. #468	C₂²×C₃	semidirect
601. #468	C₂²×C₃	semidirect
602. #468	C₂²×C₃	semidirect
605. #467	C₂²×C₃	semidirect
606. #467	C₂²×C₃	semidirect
607. #467	C₂²×C₃	semidirect
608. #467	C₂²×C₃	semidirect
609. #467	C₂²×C₃	semidirect
610. #467	C₂²×C₃	semidirect
611. #466	C₂²×C₃	semidirect
614. #465	C₂²×C₃	semidirect
615. #464	C₂²×C₃	semidirect
616. #464	C₂²×C₃	semidirect
617. #464	C₂²×C₃	semidirect
618. #464	C₂²×C₃	semidirect
619. #463	C₂²×C₃	semidirect
620. #463	C₂²×C₃	semidirect
621. #462	C₂²×C₃	semidirect
622. #462	C₂²×C₃	semidirect
623. #462	C₂²×C₃	semidirect
624. #462	C₂²×C₃	semidirect
625. #461	C₂²×C₃	semidirect
626. #461	C₂²×C₃	semidirect
637. #452	C₂²×C₃	semidirect
638. #452	C₂²×C₃	semidirect
639. #452	C₂²×C₃	semidirect
640. #452	C₂²×C₃	semidirect
641. #452	C₂²×C₃	semidirect
642. #452	C₂²×C₃	semidirect
646. #451	C₂²×C₃	semidirect
647. #451	C₂²×C₃	semidirect
648. #451	C₂²×C₃	semidirect
649. #451	C₂²×C₃	semidirect
650. #451	C₂²×C₃	semidirect
651. #451	C₂²×C₃	semidirect
652. #451	C₂²×C₃	semidirect
656. #449	C₂²×C₃	semidirect
657. #449	C₂²×C₃	semidirect
659. #448	C₂²×C₃	semidirect
660. #448	C₂²×C₃	semidirect
661. #448	C₂²×C₃	semidirect
663. #441	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×Q₁₆	C₂²×C₃	semidirect
669. C₄×SD₁₆	C₂²×C₃	semidirect
670. C₄×D₈	C₂²×C₃	semidirect
673. #435	C₂²×C₃	semidirect
674. #435	C₂²×C₃	semidirect
677. C₈×D₄	C₂²×C₃	semidirect
678. C₈×D₄	C₂²×C₃	semidirect
679. #433	C₂²×C₃	semidirect
680. #433	C₂²×C₃	semidirect
681. #419	C₂²×C₃	semidirect
682. #417	C₂²×C₃	semidirect
685. #416	C₂²×C₃	semidirect
687. C₂×#103	C₂²×C₃	semidirect
689. #408	C₂²×C₃	semidirect
690. #408	C₂²×C₃	semidirect
1837. C₃	#61642	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×#3541	2
C₃×#3489	2
C₃×#3320	2
C₃×#3315	2
C₃×#3314	2
C₃×#3313	2
C₃×#3302	2
C₃×#3300	2
C₃×#3299	2
C₃×#3297	2
C₃×D₄×Q₁₆	2
C₃×#3285	2
C₃×#3283	2
C₃×#3282	2
C₃×#3270	2
C₃×#3269	2
C₃×#3266	2
C₃×#3225	2
C₃×#3223	2
C₃×#3203	2
C₃×#3201	2
C₃×#3190	2
C₃×#3189	2
C₃×#3124	2
C₃×#3120	2
C₃×#3013	2
C₃×#3011	2
C₃×#3002	2
C₂×C₃×#452	2
C₃×#2977	2
#61642	3

Subgroups — C3×#61642 #10680249

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₃×#61642 #10680249