Subgroups — #33978898

Order 18688.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1862 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22623889	C₂	1	1	yes	maximal, characteristic, complemented
2	D₄×#11924027	C₂	1	1	yes	maximal, characteristic, complemented
3	#22622976	C₂	1	1	yes	maximal, characteristic, complemented
4	#22622948	C₂	1	1	yes	maximal, characteristic, complemented
5	#22622724	C₂	1	1	yes	maximal, characteristic, complemented
6	#22622644	C₂	1	1	yes	maximal, characteristic, complemented
7	#22621924	C₂	1	1	yes	maximal, characteristic, complemented
8	#22621915	C₂	1	1	yes	maximal, characteristic, complemented
9	#22621892	C₂	1	1	yes	maximal, characteristic, complemented
10	#22621887	C₂	1	1	yes	maximal, characteristic, complemented
11	#22621791	C₂	1	1	yes	maximal, characteristic, complemented
12	#22621737	C₂	1	1	yes	maximal, characteristic, complemented
13	#22621625	C₂	1	1	yes	maximal, characteristic, complemented
14	D₈×C₂²⋊D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
15	#22621422	C₂	1	1	yes	maximal, characteristic, complemented
16	#22621420	C₂	1	1	yes	maximal, characteristic, complemented
17	#22621409	C₂	1	1	yes	maximal, characteristic, complemented
18	#22621286	C₂	1	1	yes	maximal, characteristic, complemented
19	#22621253	C₂	1	1	yes	maximal, characteristic, complemented
20	#22621252	C₂	1	1	yes	maximal, characteristic, complemented
21	#22620915	C₂	1	1	yes	maximal, characteristic, complemented
22	#22620913	C₂	1	1	yes	maximal, characteristic, complemented
23	#22620862	C₂	1	1	yes	maximal, characteristic, complemented
24	#22620070	C₂	1	1	yes	maximal, characteristic, complemented
25	#22620067	C₂	1	1	yes	maximal, characteristic, complemented
26	#22619973	C₂	1	1	yes	maximal, characteristic, complemented
27	#22619392	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#17988800	C₂	1	1	yes	maximal, characteristic, complemented
29	#463×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
30	#22619051	C₂	1	1	yes	maximal, characteristic, complemented
31	C₇₃×#3264	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×#11924027	—	2	1	no	—
33	C₂×#14556617	C₂²	1	1	yes	characteristic, complemented
34	C₂²×#11924016	C₂²	1	1	yes	characteristic, complemented
35	C₂×SD₁₆×D₇₃	C₂²	1	1	yes	characteristic, complemented
36	C₂×D₈×D₇₃	C₂²	1	1	yes	characteristic
37	#17989320	C₂²	1	1	yes	characteristic, complemented
38	#17989306	C₂²	1	1	yes	characteristic, complemented
39	#17989301	—	2	1	no	—
40	#17989265	—	2	1	no	—
41	#17989263	—	2	1	no	—
42	#17989257	C₂²	1	1	yes	characteristic, complemented
43	D₄×Dic₁₄₆	C₂²	1	1	yes	characteristic, complemented
44	#17989250	C₂²	1	1	yes	characteristic, complemented
45	#17989246	C₂²	1	1	yes	characteristic, complemented
46	#17989244	C₂²	1	1	yes	characteristic, complemented
47	#17989243	—	2	1	no	—
48	#17989241	C₂²	1	1	yes	characteristic, complemented
49	#17989237	C₂²	1	1	yes	characteristic
50	#17989237	C₂²	1	1	yes	characteristic, complemented
51	#17989234	C₂²	1	1	yes	characteristic, complemented
52	#17989231	—	2	1	no	—
53	#17989224	—	2	1	no	—
54	#17989224	—	2	1	no	—
55	#17989224	—	2	1	no	—
56	D₄×C₂²⋊D₇₃	C₂²	1	1	yes	characteristic
57	D₄×C₂²⋊D₇₃	C₂²	1	1	yes	characteristic, complemented
58	D₄×C₂²⋊D₇₃	C₂²	1	1	yes	characteristic, complemented
59	#17989205	—	2	1	no	—
60	#17989172	—	2	1	no	—
61	#17989169	—	2	1	no	—
62	#17989135	C₂²	1	1	yes	characteristic, complemented
63	#17989133	C₂²	1	1	yes	characteristic, complemented
64	#17989132	C₂²	1	1	yes	characteristic, complemented
65	#17989132	C₂²	1	1	yes	characteristic, complemented
66	#17989123	C₂²	1	1	yes	characteristic, complemented
67	#17989119	C₂²	1	1	yes	characteristic, complemented
68	#17989118	C₂²	1	1	yes	characteristic, complemented
69	C₂×#14556578	C₂²	1	1	yes	characteristic, complemented
70	#124×D₇₃	C₂²	1	1	yes	characteristic, complemented
71	#17989097	—	2	1	no	—
72	#17989093	—	2	1	no	—
73	#17989093	—	2	1	no	—
74	#17989060	—	2	1	no	—
75	C₄×#11924027	C₂²	1	1	yes	characteristic
76	C₂×D₄×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
77	C₂×D₄×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
78	C₄×D₄×D₇₃	C₂²	1	1	yes	characteristic, complemented
79	#17988975	C₂²	1	1	yes	characteristic, complemented
80	#17988975	C₂²	1	1	yes	characteristic, complemented
81	#17988974	C₂²	1	1	yes	characteristic, complemented
82	#17988962	C₂²	1	1	yes	characteristic, complemented
83	#17988958	C₂²	1	1	yes	characteristic, complemented
84	#17988947	C₂²	1	1	yes	characteristic, complemented
85	#17988946	C₂²	1	1	yes	characteristic, complemented
86	#17988945	C₂²	1	1	yes	characteristic, complemented
87	#17988945	C₂²	1	1	yes	characteristic, complemented
88	#17988936	C₂²	1	1	yes	characteristic, complemented
89	#17988932	C₂²	1	1	yes	characteristic, complemented
90	#17988923	C₂²	1	1	yes	characteristic, complemented
91	#17988919	C₂²	1	1	yes	characteristic, complemented
92	#17988915	C₂²	1	1	yes	characteristic, complemented
93	#17988903	C₂²	1	1	yes	characteristic, complemented
94	#17988901	C₂²	1	1	yes	characteristic, complemented
95	#17988899	C₂²	1	1	yes	characteristic, complemented
96	#17988886	C₂²	1	1	yes	characteristic, complemented
97	#17988885	C₂²	1	1	yes	characteristic, complemented
98	#17988885	C₂²	1	1	yes	characteristic, complemented
99	#17988885	C₂²	1	1	yes	characteristic, complemented
100	#17988883	C₂²	1	1	yes	characteristic, complemented
101	#17988880	C₂²	1	1	yes	characteristic, complemented
102	#17988877	C₂²	1	1	yes	characteristic, complemented
103	#17988876	C₂²	1	1	yes	characteristic, complemented
104	#17988871	C₂²	1	1	yes	characteristic, complemented
105	#17988865	C₂²	1	1	yes	characteristic, complemented
106	#17988838	C₂²	1	1	yes	characteristic, complemented
107	#17988833	C₂²	1	1	yes	characteristic, complemented
108	#17988831	C₂²	1	1	yes	characteristic, complemented
109	#17988823	C₂²	1	1	yes	characteristic, complemented
110	#17988821	C₂²	1	1	yes	characteristic, complemented
111	#17988820	C₂²	1	1	yes	characteristic, complemented
112	#17988820	C₂²	1	1	yes	characteristic, complemented
113	#17988818	C₂²	1	1	yes	characteristic, complemented
114	#17988815	C₂²	1	1	yes	characteristic, complemented
115	#17988815	C₂²	1	1	yes	characteristic, complemented
116	#17988805	C₂²	1	1	yes	characteristic, complemented
117	#17988804	C₂²	1	1	yes	characteristic, complemented
118	#17988804	C₂²	1	1	yes	characteristic, complemented
119	#17988804	C₂²	1	1	yes	characteristic, complemented
120	#17988803	C₂²	1	1	yes	characteristic, complemented
121	#17988802	C₂²	1	1	yes	characteristic, complemented
122	#17988801	C₂²	1	1	yes	characteristic, complemented
123	#17988801	C₂²	1	1	yes	characteristic, complemented
124	#17988800	C₂²	1	1	yes	characteristic
125	#17988800	C₂²	1	1	yes	characteristic
126	#17988800	C₂²	1	1	yes	characteristic, complemented
127	#17988800	C₂²	1	1	yes	characteristic, complemented
128	#17988800	C₂²	1	1	yes	characteristic, complemented
129	#17988800	C₂²	1	1	yes	characteristic, complemented
130	#17988800	C₂²	1	1	yes	characteristic, complemented
131	#17988800	C₂²	1	1	yes	characteristic, complemented
132	#17988800	C₂²	1	1	yes	characteristic, complemented
133	#17988800	C₂²	1	1	yes	characteristic, complemented
134	#17988799	C₂²	1	1	yes	characteristic, complemented
135	#17988790	C₂²	1	1	yes	characteristic, complemented
136	#17988790	C₂²	1	1	yes	characteristic, complemented
137	#17988786	C₂²	1	1	yes	characteristic, complemented
138	#17988785	C₂²	1	1	yes	characteristic, complemented
139	#17988784	C₂²	1	1	yes	characteristic, complemented
140	#17988781	C₂²	1	1	yes	characteristic, complemented
141	#17988780	C₂²	1	1	yes	characteristic
142	#17988780	C₂²	1	1	yes	characteristic, complemented
143	#17988780	C₂²	1	1	yes	characteristic, complemented
144	#17988739	C₂²	1	1	yes	characteristic, complemented
145	#17988738	C₂²	1	1	yes	characteristic, complemented
146	#17988734	C₂²	1	1	yes	characteristic, complemented
147	#17988732	C₂²	1	1	yes	characteristic, complemented
148	#17988730	C₂²	1	1	yes	characteristic, complemented
149	#17988728	C₂²	1	1	yes	characteristic, complemented
150	#17988725	C₂²	1	1	yes	characteristic, complemented
151	#17988724	C₂²	1	1	yes	characteristic, complemented
152	#17988724	C₂²	1	1	yes	characteristic, complemented
153	#17988721	C₂²	1	1	yes	characteristic
154	#17988721	C₂²	1	1	yes	characteristic, complemented
155	#17988719	C₂²	1	1	yes	characteristic
156	#17988719	C₂²	1	1	yes	characteristic, complemented
157	#17988719	C₂²	1	1	yes	characteristic, complemented
158	#17988716	C₂²	1	1	yes	characteristic, complemented
159	#17988715	C₂²	1	1	yes	characteristic, complemented
160	#17988697	C₂²	1	1	yes	characteristic, complemented
161	#17988696	C₂²	1	1	yes	characteristic, complemented
162	#17988696	C₂²	1	1	yes	characteristic, complemented
163	#17988689	C₂²	1	1	yes	characteristic, complemented
164	#17988688	C₂²	1	1	yes	characteristic, complemented
165	#17988688	C₂²	1	1	yes	characteristic, complemented
166	#17988687	C₂²	1	1	yes	characteristic, complemented
167	#17988678	C₂²	1	1	yes	characteristic, complemented
168	#17988678	C₂²	1	1	yes	characteristic, complemented
169	D₈×Dic₇₃	C₂²	1	1	yes	characteristic
170	D₈×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
171	#17988661	C₂²	1	1	yes	characteristic, complemented
172	#17988659	C₂²	1	1	yes	characteristic, complemented
173	#17988656	C₂²	1	1	yes	characteristic, complemented
174	C₈×C₂²⋊D₇₃	C₂²	1	1	yes	characteristic, complemented
175	#17988650	C₂²	1	1	yes	characteristic, complemented
176	#17988642	C₂²	1	1	yes	characteristic, complemented
177	#17988641	C₂²	1	1	yes	characteristic, complemented
178	#17988637	C₂²	1	1	yes	characteristic, complemented
179	#17988610	C₂²	1	1	yes	characteristic, complemented
180	C₂×#14556520	C₂²	1	1	yes	characteristic, complemented
181	C₄⋊C₈×D₇₃	C₂²	1	1	yes	characteristic, complemented
182	#17988589	C₂²	1	1	yes	characteristic, complemented
183	#17988588	C₂²	1	1	yes	characteristic, complemented
184	C₂×#14556516	C₂²	1	1	yes	characteristic, complemented
185	#103×D₇₃	C₂²	1	1	yes	characteristic, complemented
186	C₂×#14556512	C₂²	1	1	yes	characteristic, complemented
187	#102×D₇₃	C₂²	1	1	yes	characteristic, complemented
188	C₂×AGL(1,ℤ/8)×C₇₃	C₂²	1	1	yes	characteristic, complemented
189	C₂²×D₈×C₇₃	C₂²	1	1	yes	characteristic
190	#546×C₇₃	C₂²	1	1	yes	characteristic, complemented
191	D₄²×C₇₃	C₂²	1	1	yes	characteristic, complemented
192	#496×C₇₃	C₂²	1	1	yes	characteristic, complemented
193	#469×C₇₃	C₂²	1	1	yes	characteristic, complemented
194	#465×C₇₃	C₂²	1	1	yes	characteristic, complemented
195	#463×C₇₃	C₂²	1	1	yes	characteristic
196	#459×C₇₃	C₂²	1	1	yes	characteristic, complemented
197	#450×C₇₃	C₂²	1	1	yes	characteristic, complemented
198	#449×C₇₃	C₂²	1	1	yes	characteristic, complemented
199	#447×C₇₃	C₂²	1	1	yes	characteristic
200	#447×C₇₃	C₂²	1	1	yes	characteristic, complemented
201	#442×C₇₃	C₂²	1	1	yes	characteristic, complemented
202	#435×C₇₃	C₂²	1	1	yes	characteristic, complemented
203	C₂×#11924028	C₂³	1	1	yes	characteristic
204	C₂×#11924027	—	2	1	no	—
205	C₂×#11924027	—	2	1	no	—
206	C₂×#11924027	—	2	1	no	—
207	C₂×#11924027	—	2	1	no	—
208	C₂×#11924027	—	2	1	no	—
209	C₂×#11924027	—	2	1	no	—
210	C₂×#11924027	—	2	1	no	—
211	C₂×#11924027	—	4	8	no	—
212	C₂×#11924027	D₄	1	1	yes	characteristic
213	C₂²×Dic₁₄₆	—	2	1	no	—
214	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
215	C₂×Q₈×D₇₃	C₂³	1	1	yes	characteristic
216	C₂²×C₂²⋊D₇₃	—	2	1	no	—
217	C₂²×C₂²⋊D₇₃	—	2	1	no	—
218	C₂²×C₂²⋊D₇₃	—	2	1	no	—
219	C₂×D₄×D₇₃	C₂³	1	1	yes	characteristic
220	C₂×D₄×D₇₃	C₂³	1	1	yes	characteristic
221	C₂³×Dic₇₃	—	2	1	no	—
222	C₂³×Dic₇₃	—	2	1	no	—
223	C₂²×C₄×D₇₃	—	2	1	no	—
224	#14556617	—	4	2	no	—
225	C₂×#11924017	C₂³	1	1	yes	characteristic
226	C₂×#11924017	C₂³	1	1	yes	characteristic
227	C₂×#11924016	—	4	2	no	—
228	C₂×#11924016	C₂³	1	1	yes	characteristic
229	C₂×#11924016	C₂³	1	1	yes	characteristic
230	C₂×#11924016	C₂³	1	1	yes	characteristic
231	C₂×#11924016	C₂³	1	1	yes	characteristic
232	C₂×#11924016	C₂³	1	1	yes	characteristic
233	C₂×#11924016	C₂³	1	1	yes	characteristic
234	C₂×#11924015	C₂³	1	1	yes	characteristic
235	SD₁₆×D₇₃	—	4	2	no	—
236	C₂×D₅₈₄	C₂³	1	1	yes	characteristic
237	C₂×#11924013	C₂³	1	1	yes	characteristic
238	C₂×#11924013	C₂³	1	1	yes	characteristic
239	C₂×#11924013	C₂³	1	1	yes	characteristic
240	C₂×#11924013	C₂³	1	1	yes	characteristic
241	C₂×#11924013	C₂³	1	1	yes	characteristic
242	D₈×D₇₃	—	4	2	no	—
243	C₂×#11924012	C₂³	1	1	yes	characteristic
244	C₂²×#10596831	C₂³	1	1	yes	characteristic
245	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
246	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
247	#14556591	C₂³	1	1	yes	characteristic
248	#14556590	—	2	1	no	—
249	#14556590	C₂³	1	1	yes	characteristic
250	#14556590	C₂³	1	1	yes	characteristic
251	#14556589	C₂³	1	1	yes	characteristic
252	#14556587	C₂³	1	1	yes	characteristic
253	#14556587	C₂³	1	1	yes	characteristic
254	#14556587	C₂³	1	1	yes	characteristic
255	#14556586	—	2	1	no	—
256	#14556584	—	2	1	no	—
257	#14556584	—	2	1	no	—
258	#14556584	—	2	1	no	—
259	#14556584	—	2	1	no	—
260	#14556582	C₂³	1	1	yes	characteristic
261	#14556580	C₂³	1	1	yes	characteristic
262	#14556579	C₂³	1	1	yes	characteristic
263	#14556578	—	2	1	no	—
264	#14556578	—	2	1	no	—
265	#14556578	—	2	1	no	—
266	#14556578	—	2	1	no	—
267	#14556578	C₂³	1	1	yes	characteristic
268	#14556578	C₂³	1	1	yes	characteristic
269	#14556578	C₂³	1	1	yes	characteristic
270	#14556578	C₂³	1	1	yes	characteristic
271	#14556577	—	2	1	no	—
272	#14556577	—	2	1	no	—
273	#14556577	—	2	1	no	—
274	#14556577	—	2	1	no	—
275	#14556577	—	2	1	no	—
276	#14556577	—	2	1	no	—
277	#14556575	—	2	1	no	—
278	#14556575	—	2	1	no	—
279	#14556575	—	2	1	no	—
280	#14556574	—	2	1	no	—
281	#14556573	—	2	1	no	—
282	#14556573	—	2	1	no	—
283	#14556573	—	2	1	no	—
284	#14556573	—	2	1	no	—
285	#14556573	—	2	1	no	—
286	#14556572	—	2	1	no	—
287	#14556572	—	2	1	no	—
288	#14556572	—	2	1	no	—
289	#14556571	—	2	1	no	—
290	#14556571	C₂³	1	1	yes	characteristic
291	#14556570	—	2	1	no	—
292	#14556570	—	2	1	no	—
293	#14556570	C₂³	1	1	yes	characteristic
294	#14556569	—	2	1	no	—
295	#14556569	—	2	1	no	—
296	#14556568	—	2	1	no	—
297	#14556568	—	2	1	no	—
298	#14556568	—	2	1	no	—
299	#14556568	—	2	1	no	—
300	#14556568	—	2	1	no	—
301	#14556568	—	2	1	no	—
302	#14556565	C₂³	1	1	yes	characteristic
303	#14556565	C₂³	1	1	yes	characteristic
304	#14556565	C₂³	1	1	yes	characteristic
305	#14556563	—	2	1	no	—
306	#14556563	—	2	1	no	—
307	#14556563	—	2	1	no	—
308	#14556563	—	2	1	no	—
309	#14556563	—	2	1	no	—
310	#14556563	—	2	1	no	—
311	#14556563	—	2	1	no	—
312	#14556563	—	2	1	no	—
313	#14556563	—	2	1	no	—
314	#14556563	—	2	1	no	—
315	#14556562	—	2	1	no	—
316	#14556562	—	2	1	no	—
317	#14556562	—	2	1	no	—
318	#14556562	—	2	1	no	—
319	#14556562	C₂³	1	1	yes	characteristic
320	#14556562	C₂³	1	1	yes	characteristic
321	#14556562	C₂³	1	1	yes	characteristic
322	#14556560	—	2	1	no	—
323	#14556560	—	2	1	no	—
324	#14556560	—	2	1	no	—
325	#14556559	—	2	1	no	—
326	#14556559	—	2	1	no	—
327	#14556559	—	2	1	no	—
328	#14556559	—	2	1	no	—
329	Q₈×Dic₇₃	C₂³	1	1	yes	characteristic
330	C₄×Dic₁₄₆	C₂³	1	1	yes	characteristic
331	C₄×Dic₁₄₆	C₂³	1	1	yes	characteristic
332	#14556556	D₄	1	1	yes	characteristic
333	#14556556	C₂³	1	1	yes	characteristic
334	C₄×D₂₉₂	C₂³	1	1	yes	characteristic
335	D₄×Dic₇₃	—	2	1	no	—
336	D₄×Dic₇₃	—	2	1	no	—
337	D₄×Dic₇₃	—	2	1	no	—
338	D₄×Dic₇₃	—	2	1	no	—
339	D₄×Dic₇₃	—	2	1	no	—
340	D₄×Dic₇₃	—	2	1	no	—
341	D₄×Dic₇₃	D₄	1	1	yes	characteristic
342	D₄×Dic₇₃	C₂³	1	1	yes	characteristic
343	D₄×Dic₇₃	C₂³	1	1	yes	characteristic
344	D₄×Dic₇₃	C₂³	1	1	yes	characteristic
345	D₄×Dic₇₃	C₂³	1	1	yes	characteristic
346	D₄×Dic₇₃	C₂³	1	1	yes	characteristic
347	D₄×Dic₇₃	C₂³	1	1	yes	characteristic
348	D₄×Dic₇₃	C₂³	1	1	yes	characteristic
349	D₄×Dic₇₃	C₂³	1	1	yes	characteristic
350	#14556553	C₂³	1	1	yes	characteristic
351	#14556553	C₂³	1	1	yes	characteristic
352	C₄×C₂²⋊D₇₃	—	2	1	no	—
353	C₄×C₂²⋊D₇₃	—	2	1	no	—
354	C₄×C₂²⋊D₇₃	—	2	1	no	—
355	C₄×C₂²⋊D₇₃	—	2	1	no	—
356	C₄×C₂²⋊D₇₃	—	2	1	no	—
357	C₄×C₂²⋊D₇₃	—	2	1	no	—
358	C₄×C₂²⋊D₇₃	C₂³	1	1	yes	characteristic
359	C₄×C₂²⋊D₇₃	C₂³	1	1	yes	characteristic
360	#14556551	—	2	1	no	—
361	#14556551	—	2	1	no	—
362	#14556551	—	2	1	no	—
363	#14556551	—	2	1	no	—
364	#14556551	—	2	1	no	—
365	#14556551	—	2	1	no	—
366	#14556551	D₄	1	1	yes	characteristic
367	#14556551	D₄	1	1	yes	characteristic
368	#14556550	—	2	1	no	—
369	#14556549	—	2	1	no	—
370	#14556549	D₄	1	1	yes	characteristic
371	#14556547	—	2	1	no	—
372	#14556547	—	2	1	no	—
373	#14556547	D₄	1	1	yes	characteristic
374	#14556547	D₄	1	1	yes	characteristic
375	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
376	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
377	C₄⋊C₄×D₇₃	C₂³	1	1	yes	characteristic
378	C₂×C₂²⋊Dic₇₃	—	2	1	no	—
379	C₂×C₂²⋊Dic₇₃	—	2	1	no	—
380	C₂×C₂²⋊Dic₇₃	—	2	1	no	—
381	C₂×C₂²⋊Dic₇₃	—	2	1	no	—
382	C₂²⋊C₄×D₇₃	—	2	1	no	—
383	C₂²⋊C₄×D₇₃	—	2	1	no	—
384	C₂²⋊C₄×D₇₃	—	2	1	no	—
385	C₂²⋊C₄×D₇₃	—	2	1	no	—
386	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
387	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
388	C₄²×D₇₃	C₂³	1	1	yes	characteristic
389	#14556525	C₂³	1	1	yes	characteristic
390	#14556525	C₂³	1	1	yes	characteristic
391	#14556525	C₂³	1	1	yes	characteristic
392	#14556524	C₂³	1	1	yes	characteristic
393	#14556522	C₂³	1	1	yes	characteristic
394	#14556522	C₂³	1	1	yes	characteristic
395	#14556522	C₂³	1	1	yes	characteristic
396	C₄⋊#10596831	C₂³	1	1	yes	characteristic
397	#14556520	C₂³	1	1	yes	characteristic
398	#14556520	C₂³	1	1	yes	characteristic
399	#14556520	C₂³	1	1	yes	characteristic
400	#14556520	C₂³	1	1	yes	characteristic
401	#14556520	C₂³	1	1	yes	characteristic
402	#14556520	C₂³	1	1	yes	characteristic
403	#14556520	C₂³	1	1	yes	characteristic
404	#14556520	C₂³	1	1	yes	characteristic
405	#14556516	C₂³	1	1	yes	characteristic
406	#14556516	C₂³	1	1	yes	characteristic
407	#14556516	C₂³	1	1	yes	characteristic
408	#14556516	C₂³	1	1	yes	characteristic
409	#14556516	C₂³	1	1	yes	characteristic
410	#14556516	C₂³	1	1	yes	characteristic
411	#14556515	C₂³	1	1	yes	characteristic
412	#14556515	C₂³	1	1	yes	characteristic
413	#14556515	C₂³	1	1	yes	characteristic
414	#14556514	C₂³	1	1	yes	characteristic
415	#14556514	C₂³	1	1	yes	characteristic
416	#14556513	C₂³	1	1	yes	characteristic
417	#14556513	C₂³	1	1	yes	characteristic
418	#14556513	C₂³	1	1	yes	characteristic
419	#14556513	C₂³	1	1	yes	characteristic
420	#14556512	C₂³	1	1	yes	characteristic
421	#14556512	C₂³	1	1	yes	characteristic
422	#14556512	C₂³	1	1	yes	characteristic
423	#14556512	C₂³	1	1	yes	characteristic
424	#14556512	C₂³	1	1	yes	characteristic
425	#14556512	C₂³	1	1	yes	characteristic
426	#14556512	C₂³	1	1	yes	characteristic
427	#14556512	C₂³	1	1	yes	characteristic
428	#14556512	C₂³	1	1	yes	characteristic
429	#14556511	C₂³	1	1	yes	characteristic
430	#14556511	C₂³	1	1	yes	characteristic
431	C₂²⋊#10596831	C₂³	1	1	yes	characteristic
432	C₂²⋊#10596831	C₂³	1	1	yes	characteristic
433	#14556503	C₂³	1	1	yes	characteristic
434	#14556503	C₂³	1	1	yes	characteristic
435	#14556502	C₂³	1	1	yes	characteristic
436	#14556501	C₂³	1	1	yes	characteristic
437	#14556501	C₂³	1	1	yes	characteristic
438	C₈×Dic₇₃	C₂³	1	1	yes	characteristic
439	C₈×Dic₇₃	C₂³	1	1	yes	characteristic
440	C₂×#41×C₇₃	C₂³	1	1	yes	characteristic
441	C₂²×D₄×C₇₃	—	2	1	no	—
442	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
443	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
444	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
445	AGL(1,ℤ/8)×C₇₃	—	4	2	no	—
446	C₂×SD₁₆×C₇₃	C₂³	1	1	yes	characteristic
447	C₂×SD₁₆×C₇₃	C₂³	1	1	yes	characteristic
448	C₂×SD₁₆×C₇₃	C₂³	1	1	yes	characteristic
449	C₂×D₈×C₇₃	—	4	2	no	—
450	C₂×D₈×C₇₃	C₂³	1	1	yes	characteristic
451	C₂×D₈×C₇₃	C₂³	1	1	yes	characteristic
452	C₂×D₈×C₇₃	C₂³	1	1	yes	characteristic
453	C₂×D₈×C₇₃	C₂³	1	1	yes	characteristic
454	C₂×D₈×C₇₃	C₂³	1	1	yes	characteristic
455	C₂×D₈×C₇₃	C₂³	1	1	yes	characteristic
456	C₂×M₁₆×C₇₃	C₂³	1	1	yes	characteristic
457	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
458	#127×C₇₃	C₂³	1	1	yes	characteristic
459	#124×C₇₃	C₂³	1	1	yes	characteristic
460	#123×C₇₃	—	2	1	no	—
461	C₂²⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
462	#121×C₇₃	—	2	1	no	—
463	#121×C₇₃	—	2	1	no	—
464	#121×C₇₃	C₂³	1	1	yes	characteristic
465	#121×C₇₃	C₂³	1	1	yes	characteristic
466	#121×C₇₃	C₂³	1	1	yes	characteristic
467	#120×C₇₃	—	2	1	no	—
468	#120×C₇₃	—	2	1	no	—
469	#120×C₇₃	—	2	1	no	—
470	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
471	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
472	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
473	C₂×C₂²⋊C₄×C₇₃	—	2	1	no	—
474	#106×C₇₃	C₂³	1	1	yes	characteristic
475	C₄⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
476	#103×C₇₃	C₂³	1	1	yes	characteristic
477	#102×C₇₃	C₂³	1	1	yes	characteristic
478	#102×C₇₃	C₂³	1	1	yes	characteristic
479	#102×C₇₃	C₂³	1	1	yes	characteristic
480	#102×C₇₃	C₂³	1	1	yes	characteristic
481	#102×C₇₃	C₂³	1	1	yes	characteristic
482	C₂²⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
483	C₂²⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
484	#97×C₇₃	C₂³	1	1	yes	characteristic
485	C₂³×D₇₃	—	2	1	no	—
486	C₂³×D₇₃	—	2	1	no	—
487	#11924028	—	4	1	no	—
488	#11924028	—	4	1	no	—
489	#11924027	—	2	4	no	—
490	#11924027	—	4	4	no	—
491	#11924027	—	4	4	no	—
492	#11924027	—	4	4	no	—
493	#11924027	—	4	4	no	—
494	#11924027	—	4	4	no	—
495	#11924027	—	4	4	no	—
496	#11924027	—	4	4	no	—
497	C₂×Dic₁₄₆	—	2	1	no	—
498	C₂×Dic₁₄₆	—	2	1	no	—
499	C₂×Dic₁₄₆	—	2	1	no	—
500	C₂×Dic₁₄₆	—	2	1	no	—
501	C₂×Dic₁₄₆	—	2	1	no	—
502	C₂×Dic₁₄₆	—	4	1	no	—
503	C₂×Dic₁₄₆	—	4	1	no	—
504	C₂×Dic₁₄₆	—	4	4	no	—
505	C₂×Dic₁₄₆	C₂×D₄	1	1	yes	characteristic
506	C₂×Dic₁₄₆	C₂⁴	1	1	yes	characteristic
507	C₂×Dic₁₄₆	C₂⁴	1	1	yes	characteristic
508	Q₈×D₇₃	—	4	1	no	—
509	Q₈×D₇₃	—	4	1	no	—
510	C₂×D₂₉₂	C₂⁴	1	1	yes	characteristic
511	C₂×D₂₉₂	C₂⁴	1	1	yes	characteristic
512	C₂×C₂²⋊D₇₃	—	2	1	no	—
513	C₂×C₂²⋊D₇₃	—	2	1	no	—
514	C₂×C₂²⋊D₇₃	—	2	1	no	—
515	C₂×C₂²⋊D₇₃	—	2	1	no	—
516	C₂×C₂²⋊D₇₃	—	2	1	no	—
517	C₂×C₂²⋊D₇₃	—	2	1	no	—
518	C₂×C₂²⋊D₇₃	—	2	1	no	—
519	C₂×C₂²⋊D₇₃	—	2	1	no	—
520	C₂×C₂²⋊D₇₃	—	2	1	no	—
521	C₂×C₂²⋊D₇₃	—	2	1	no	—
522	C₂×C₂²⋊D₇₃	—	2	1	no	—
523	C₂×C₂²⋊D₇₃	—	2	1	no	—
524	C₂×C₂²⋊D₇₃	—	2	1	no	—
525	C₂×C₂²⋊D₇₃	—	2	1	no	—
526	C₂×C₂²⋊D₇₃	—	2	1	no	—
527	C₂×C₂²⋊D₇₃	—	4	4	no	—
528	C₂×C₂²⋊D₇₃	—	4	4	no	—
529	C₂×C₂²⋊D₇₃	—	4	4	no	—
530	C₂×C₂²⋊D₇₃	C₂×D₄	1	1	yes	characteristic
531	C₂×C₂²⋊D₇₃	C₂×D₄	1	1	yes	characteristic
532	D₄×D₇₃	—	2	2	no	—
533	D₄×D₇₃	—	4	1	no	—
534	D₄×D₇₃	—	4	1	no	—
535	D₄×D₇₃	—	4	1	no	—
536	C₂²×Dic₇₃	—	2	1	no	—
537	C₂²×Dic₇₃	—	2	1	no	—
538	C₂²×Dic₇₃	—	2	1	no	—
539	C₂²×Dic₇₃	—	2	1	no	—
540	C₂²×Dic₇₃	—	2	1	no	—
541	C₂²×Dic₇₃	—	2	1	no	—
542	C₂²×Dic₇₃	—	2	1	no	—
543	C₂²×Dic₇₃	—	2	1	no	—
544	C₂²×Dic₇₃	—	2	1	no	—
545	C₂²×Dic₇₃	—	2	1	no	—
546	C₂²×Dic₇₃	—	2	1	no	—
547	C₂²×Dic₇₃	—	4	4	no	—
548	C₂²×Dic₇₃	—	4	4	no	—
549	C₂²×Dic₇₃	C₂×D₄	1	1	yes	characteristic
550	C₂²×Dic₇₃	C₂×D₄	1	1	yes	characteristic
551	C₂²×Dic₇₃	C₂×D₄	1	1	yes	characteristic
552	C₂²×Dic₇₃	C₂×D₄	1	1	yes	characteristic
553	C₂×C₄×D₇₃	—	2	1	no	—
554	C₂×C₄×D₇₃	—	2	1	no	—
555	C₂×C₄×D₇₃	—	2	1	no	—
556	C₂×C₄×D₇₃	—	2	1	no	—
557	C₂×C₄×D₇₃	—	2	1	no	—
558	C₂×C₄×D₇₃	—	2	1	no	—
559	C₂×C₄×D₇₃	—	4	4	no	—
560	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
561	C₂×C₄×D₇₃	C₂×D₄	1	1	yes	characteristic
562	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
563	#11924017	—	4	1	no	—
564	#11924017	—	4	1	no	—
565	#11924016	—	2	2	no	—
566	#11924016	—	2	2	no	—
567	#11924016	—	4	1	no	—
568	#11924016	—	4	1	no	—
569	#11924016	—	4	1	no	—
570	#11924016	—	4	1	no	—
571	#11924015	—	4	1	no	—
572	D₅₈₄	—	4	1	no	—
573	#11924013	—	2	2	no	—
574	#11924013	—	4	1	no	—
575	#11924013	—	4	1	no	—
576	#11924013	—	4	1	no	—
577	#11924013	—	4	1	no	—
578	#11924012	—	4	1	no	—
579	C₂×#10596831	—	4	1	no	—
580	C₂×#10596831	C₂⁴	1	1	yes	characteristic
581	C₂×#10596831	C₂⁴	1	1	yes	characteristic
582	C₂×#10596831	C₂⁴	1	1	yes	characteristic
583	C₂×#10596831	C₂⁴	1	1	yes	characteristic
584	C₈×D₇₃	—	4	1	no	—
585	C₈×D₇₃	—	4	1	no	—
586	C₄⋊Dic₇₃	—	2	1	no	—
587	C₄⋊Dic₇₃	—	2	1	no	—
588	C₄⋊Dic₇₃	—	2	1	no	—
589	C₄⋊Dic₇₃	—	2	1	no	—
590	C₄⋊Dic₇₃	—	2	1	no	—
591	C₄⋊Dic₇₃	—	2	1	no	—
592	C₄⋊Dic₇₃	C₂×D₄	1	1	yes	characteristic
593	C₄⋊Dic₇₃	C₂⁴	1	1	yes	characteristic
594	C₄⋊Dic₇₃	C₂⁴	1	1	yes	characteristic
595	C₄⋊Dic₇₃	C₂⁴	1	1	yes	characteristic
596	C₄⋊Dic₇₃	C₂⁴	1	1	yes	characteristic
597	#11924007	—	2	1	no	—
598	#11924007	—	2	1	no	—
599	#11924007	—	2	1	no	—
600	#11924007	—	2	1	no	—
601	#11924007	—	2	1	no	—
602	#11924007	—	2	1	no	—
603	#11924007	—	2	1	no	—
604	#11924007	—	2	1	no	—
605	#11924007	—	2	1	no	—
606	#11924007	C₂×D₄	1	1	yes	characteristic
607	#11924007	C₂×D₄	1	1	yes	characteristic
608	#11924007	C₂×D₄	1	1	yes	characteristic
609	#11924007	C₂×D₄	1	1	yes	characteristic
610	C₂²⋊Dic₇₃	—	2	1	no	—
611	C₂²⋊Dic₇₃	—	2	1	no	—
612	C₂²⋊Dic₇₃	—	2	1	no	—
613	C₂²⋊Dic₇₃	—	2	1	no	—
614	C₂²⋊Dic₇₃	—	2	1	no	—
615	C₂²⋊Dic₇₃	—	2	1	no	—
616	C₂²⋊Dic₇₃	—	2	1	no	—
617	C₂²⋊Dic₇₃	—	2	1	no	—
618	C₂²⋊Dic₇₃	—	2	1	no	—
619	C₂²⋊Dic₇₃	—	2	1	no	—
620	C₂²⋊Dic₇₃	—	2	1	no	—
621	C₂²⋊Dic₇₃	—	2	1	no	—
622	C₂²⋊Dic₇₃	—	2	1	no	—
623	C₂²⋊Dic₇₃	—	2	1	no	—
624	C₂²⋊Dic₇₃	—	2	1	no	—
625	C₂²⋊Dic₇₃	—	2	1	no	—
626	C₂²⋊Dic₇₃	—	2	1	no	—
627	C₂²⋊Dic₇₃	—	2	1	no	—
628	C₂²⋊Dic₇₃	—	2	1	no	—
629	C₂²⋊Dic₇₃	—	2	1	no	—
630	C₂²⋊Dic₇₃	C₂×D₄	1	1	yes	characteristic
631	C₂²⋊Dic₇₃	C₂×D₄	1	1	yes	characteristic
632	#11924005	—	2	1	no	—
633	#11924005	—	2	1	no	—
634	#11924005	—	2	1	no	—
635	#11924005	—	2	1	no	—
636	#11924005	—	2	1	no	—
637	#11924005	—	2	1	no	—
638	#11924005	—	2	1	no	—
639	#11924005	—	2	1	no	—
640	#11924005	—	2	1	no	—
641	#11924005	—	2	1	no	—
642	#11924005	—	2	1	no	—
643	#11924005	C₂×D₄	1	1	yes	characteristic
644	#11924005	C₂×D₄	1	1	yes	characteristic
645	C₄×Dic₇₃	—	2	1	no	—
646	C₄×Dic₇₃	—	2	1	no	—
647	C₄×Dic₇₃	—	2	1	no	—
648	C₄×Dic₇₃	C₂×D₄	1	1	yes	characteristic
649	C₄×Dic₇₃	C₂×D₄	1	1	yes	characteristic
650	C₄×Dic₇₃	C₂×D₄	1	1	yes	characteristic
651	C₄×Dic₇₃	C₂×D₄	1	1	yes	characteristic
652	C₄×Dic₇₃	C₂×D₄	1	1	yes	characteristic
653	C₄×Dic₇₃	C₂×D₄	1	1	yes	characteristic
654	C₄×Dic₇₃	C₂⁴	1	1	yes	characteristic
655	C₄×Dic₇₃	C₂⁴	1	1	yes	characteristic
656	C₄×Dic₇₃	C₂⁴	1	1	yes	characteristic
657	C₂⁴×C₇₃	—	2	1	no	—
658	C₂⁴×C₇₃	—	2	1	no	—
659	C₂⁴×C₇₃	—	2	1	no	—
660	#41×C₇₃	—	4	1	no	—
661	#41×C₇₃	—	4	1	no	—
662	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
663	C₂×D₄×C₇₃	—	2	2	no	—
664	C₂×D₄×C₇₃	—	2	2	no	—
665	C₂×D₄×C₇₃	—	2	1	no	—
666	C₂×D₄×C₇₃	—	2	1	no	—
667	C₂×D₄×C₇₃	—	2	1	no	—
668	C₂×D₄×C₇₃	—	2	1	no	—
669	C₂×D₄×C₇₃	—	2	1	no	—
670	C₂×D₄×C₇₃	—	2	1	no	—
671	C₂×D₄×C₇₃	—	2	1	no	—
672	C₂×D₄×C₇₃	—	2	1	no	—
673	C₂×D₄×C₇₃	—	2	1	no	—
674	C₂×D₄×C₇₃	—	4	1	no	—
675	C₂×D₄×C₇₃	—	4	1	no	—
676	C₂×D₄×C₇₃	—	4	1	no	—
677	C₂×D₄×C₇₃	—	4	1	no	—
678	C₂×D₄×C₇₃	—	4	4	no	—
679	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
680	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
681	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
682	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
683	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
684	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
685	C₂²×C₄×C₇₃	—	2	1	no	—
686	C₂²×C₄×C₇₃	—	2	1	no	—
687	C₂²×C₄×C₇₃	—	2	1	no	—
688	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
689	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
690	SD₁₆×C₇₃	—	2	2	no	—
691	SD₁₆×C₇₃	—	4	1	no	—
692	SD₁₆×C₇₃	—	4	1	no	—
693	D₈×C₇₃	—	2	2	no	—
694	D₈×C₇₃	—	2	2	no	—
695	D₈×C₇₃	—	4	1	no	—
696	D₈×C₇₃	—	4	1	no	—
697	D₈×C₇₃	—	4	1	no	—
698	D₈×C₇₃	—	4	1	no	—
699	M₁₆×C₇₃	—	4	1	no	—
700	C₂×C₈×C₇₃	—	4	1	no	—
701	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
702	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
703	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
704	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
705	C₄⋊C₄×C₇₃	—	2	1	no	—
706	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
707	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
708	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
709	C₂²⋊C₄×C₇₃	—	2	1	no	—
710	C₂²⋊C₄×C₇₃	—	2	1	no	—
711	C₂²⋊C₄×C₇₃	—	2	1	no	—
712	C₂²⋊C₄×C₇₃	—	2	1	no	—
713	C₂²⋊C₄×C₇₃	—	2	1	no	—
714	C₂²⋊C₄×C₇₃	—	2	1	no	—
715	C₂²⋊C₄×C₇₃	—	2	1	no	—
716	C₂²⋊C₄×C₇₃	—	2	1	no	—
717	C₂²⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
718	C₂²⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
719	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
720	C₂³×C₇₃	—	2	1	no	—
721	C₂³×C₇₃	—	2	1	no	—
722	C₂³×C₇₃	—	2	1	no	—
723	C₂³×C₇₃	—	2	1	no	—
724	C₂³×C₇₃	—	2	1	no	—
725	C₂³×C₇₃	—	4	2	no	—
726	C₂³×C₇₃	—	4	2	no	—
727	C₂³×C₇₃	—	4	2	no	—
728	C₂³×C₇₃	—	4	2	no	—
729	C₂³×C₇₃	—	4	2	no	—
730	C₂³×C₇₃	—	8	1	no	—
731	C₂³×C₇₃	—	8	1	no	—
732	C₂³×C₇₃	—	8	1	no	—
733	C₂³×C₇₃	—	8	1	no	—
734	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
735	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
736	C₂²×D₇₃	—	2	1	no	—
737	C₂²×D₇₃	—	2	1	no	—
738	C₂²×D₇₃	—	4	2	no	—
739	C₂²×D₇₃	—	4	2	no	—
740	C₂²×D₇₃	—	4	2	no	—
741	C₂²×D₇₃	—	8	1	no	—
742	C₂²×D₇₃	—	8	1	no	—
743	C₂²×D₇₃	—	8	1	no	—
744	C₂²×D₇₃	C₂²×D₄	1	1	yes	characteristic
745	Q₈×C₇₃	—	2	1	no	—
746	Q₈×C₇₃	—	2	1	no	—
747	D₄×C₇₃	—	2	2	no	—
748	D₄×C₇₃	—	2	1	no	—
749	D₄×C₇₃	—	2	1	no	—
750	D₄×C₇₃	—	2	1	no	—
751	D₄×C₇₃	—	2	1	no	—
752	D₄×C₇₃	—	2	1	no	—
753	D₄×C₇₃	—	2	1	no	—
754	D₄×C₇₃	—	2	1	no	—
755	D₄×C₇₃	—	2	1	no	—
756	D₄×C₇₃	—	2	1	no	—
757	D₄×C₇₃	—	4	2	no	—
758	D₄×C₇₃	—	4	2	no	—
759	D₄×C₇₃	—	4	2	no	—
760	D₄×C₇₃	—	4	2	no	—
761	D₄×C₇₃	—	4	2	no	—
762	D₄×C₇₃	—	8	1	no	—
763	D₄×C₇₃	—	8	1	no	—
764	D₄×C₇₃	—	8	1	no	—
765	D₄×C₇₃	—	8	1	no	—
766	D₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
767	C₂×C₄×C₇₃	—	2	1	no	—
768	C₂×C₄×C₇₃	—	2	1	no	—
769	C₂×C₄×C₇₃	—	2	1	no	—
770	C₂×C₄×C₇₃	—	2	1	no	—
771	C₂×C₄×C₇₃	—	2	1	no	—
772	C₂×C₄×C₇₃	—	2	1	no	—
773	C₂×C₄×C₇₃	—	2	1	no	—
774	C₂×C₄×C₇₃	—	4	2	no	—
775	C₂×C₄×C₇₃	—	8	1	no	—
776	C₂×C₄×C₇₃	—	8	1	no	—
777	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
778	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
779	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
780	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
781	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
782	C₂²⋊D₇₃	—	2	2	no	—
783	C₂²⋊D₇₃	—	4	2	no	—
784	C₂²⋊D₇₃	—	4	2	no	—
785	C₂²⋊D₇₃	—	4	2	no	—
786	C₂²⋊D₇₃	—	4	2	no	—
787	C₂²⋊D₇₃	—	4	2	no	—
788	C₂²⋊D₇₃	—	4	2	no	—
789	C₂²⋊D₇₃	—	4	2	no	—
790	C₂²⋊D₇₃	—	4	2	no	—
791	C₂²⋊D₇₃	—	4	2	no	—
792	C₂²⋊D₇₃	—	4	2	no	—
793	C₂²⋊D₇₃	—	8	1	no	—
794	C₂²⋊D₇₃	—	8	1	no	—
795	C₂²⋊D₇₃	—	8	1	no	—
796	C₂²⋊D₇₃	—	8	1	no	—
797	C₂²⋊D₇₃	—	8	1	no	—
798	C₂²⋊D₇₃	AGL(1,ℤ/8)	1	4	yes	complemented
799	C₂×Dic₇₃	—	2	2	no	—
800	C₂×Dic₇₃	—	2	2	no	—
801	C₂×Dic₇₃	—	2	1	no	—
802	C₂×Dic₇₃	—	2	1	no	—
803	C₂×Dic₇₃	—	2	1	no	—
804	C₂×Dic₇₃	—	2	1	no	—
805	C₂×Dic₇₃	—	2	1	no	—
806	C₂×Dic₇₃	—	2	1	no	—
807	C₂×Dic₇₃	—	4	1	no	—
808	C₂×Dic₇₃	—	4	1	no	—
809	C₂×Dic₇₃	—	4	2	no	—
810	C₂×Dic₇₃	—	4	2	no	—
811	C₂×Dic₇₃	—	4	2	no	—
812	C₂×Dic₇₃	—	4	2	no	—
813	C₂×Dic₇₃	—	4	2	no	—
814	C₂×Dic₇₃	—	4	2	no	—
815	C₂×Dic₇₃	—	4	2	no	—
816	C₂×Dic₇₃	—	4	2	no	—
817	C₂×Dic₇₃	—	4	2	no	—
818	C₂×Dic₇₃	—	4	2	no	—
819	C₂×Dic₇₃	—	8	1	no	—
820	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
821	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
822	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
823	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
824	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
825	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
826	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
827	D₂₉₂	—	2	1	no	—
828	D₂₉₂	—	2	1	no	—
829	D₂₉₂	—	2	1	no	—
830	D₂₉₂	—	2	1	no	—
831	C₄×D₇₃	—	2	2	no	—
832	C₄×D₇₃	—	2	1	no	—
833	C₄×D₇₃	—	2	1	no	—
834	C₄×D₇₃	—	4	1	no	—
835	C₄×D₇₃	—	4	2	no	—
836	C₄×D₇₃	—	4	2	no	—
837	C₄×D₇₃	—	4	2	no	—
838	C₄×D₇₃	—	8	1	no	—
839	C₄×D₇₃	—	8	1	no	—
840	C₄×D₇₃	—	8	1	no	—
841	Dic₁₄₆	—	2	2	no	—
842	Dic₁₄₆	—	2	1	no	—
843	Dic₁₄₆	—	2	1	no	—
844	Dic₁₄₆	—	2	1	no	—
845	Dic₁₄₆	—	2	1	no	—
846	Dic₁₄₆	—	4	2	no	—
847	Dic₁₄₆	—	4	2	no	—
848	Dic₁₄₆	—	4	2	no	—
849	Dic₁₄₆	—	8	1	no	—
850	Dic₁₄₆	—	8	1	no	—
851	C₈×C₇₃	—	2	1	no	—
852	C₈×C₇₃	—	2	1	no	—
853	C₈×C₇₃	—	2	1	no	—
854	C₈×C₇₃	—	2	1	no	—
855	#10596831	—	2	1	no	—
856	#10596831	—	2	1	no	—
857	#10596831	—	2	1	no	—
858	#10596831	—	2	1	no	—
859	C₂²×C₇₃	—	2	1	no	—
860	C₂²×C₇₃	—	2	1	no	—
861	C₂²×C₇₃	—	2	1	no	—
862	C₂²×C₇₃	—	2	2	no	—
863	C₂²×C₇₃	—	2	1	no	—
864	C₂²×C₇₃	—	2	1	no	—
865	C₂²×C₇₃	—	4	1	no	—
866	C₂²×C₇₃	—	4	1	no	—
867	C₂²×C₇₃	—	4	1	no	—
868	C₂²×C₇₃	—	4	1	no	—
869	C₂²×C₇₃	—	4	1	no	—
870	C₂²×C₇₃	—	4	1	no	—
871	C₂²×C₇₃	—	4	1	no	—
872	C₂²×C₇₃	—	4	1	no	—
873	C₂²×C₇₃	—	4	1	no	—
874	C₂²×C₇₃	—	4	1	no	—
875	C₂²×C₇₃	—	4	1	no	—
876	C₂²×C₇₃	—	4	1	no	—
877	C₂²×C₇₃	—	4	1	no	—
878	C₂²×C₇₃	—	4	1	no	—
879	C₂²×C₇₃	—	8	4	no	—
880	C₂²×C₇₃	—	8	4	no	—
881	C₂²×C₇₃	—	16	2	no	—
882	C₂²×C₇₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
883	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
884	C₂×D₇₃	—	2	1	no	—
885	C₂×D₇₃	—	2	1	no	—
886	C₂×D₇₃	—	4	1	no	—
887	C₂×D₇₃	—	4	1	no	—
888	C₂×D₇₃	—	4	1	no	—
889	C₂×D₇₃	—	4	1	no	—
890	C₂×D₇₃	—	4	1	no	—
891	C₂×D₇₃	—	4	1	no	—
892	C₂×D₇₃	—	8	4	no	—
893	C₂×D₇₃	—	16	2	no	—
894	C₂×D₇₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
895	C₄×C₇₃	—	2	1	no	—
896	C₄×C₇₃	—	2	1	no	—
897	C₄×C₇₃	—	2	1	no	—
898	C₄×C₇₃	—	2	1	no	—
899	C₄×C₇₃	—	4	1	no	—
900	C₄×C₇₃	—	4	1	no	—
901	C₄×C₇₃	—	4	1	no	—
902	C₄×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
903	C₄×C₇₃	#585	1	1	yes	characteristic
904	Dic₇₃	—	2	1	no	—
905	Dic₇₃	—	2	1	no	—
906	Dic₇₃	—	2	1	no	—
907	Dic₇₃	—	2	1	no	—
908	Dic₇₃	—	2	1	no	—
909	Dic₇₃	—	2	1	no	—
910	Dic₇₃	—	4	1	no	—
911	Dic₇₃	—	4	1	no	—
912	Dic₇₃	—	4	1	no	—
913	Dic₇₃	—	4	1	no	—
914	Dic₇₃	—	4	1	no	—
915	Dic₇₃	—	4	1	no	—
916	Dic₇₃	C₂×AGL(1,ℤ/8)	1	2	yes	—
917	#61989	—	73	1	no	maximal, Sylow
918	C₂×C₇₃	—	2	2	no	—
919	C₂×C₇₃	—	4	2	no	—
920	C₂×C₇₃	—	4	1	no	—
921	C₂×C₇₃	—	8	1	no	—
922	C₂×C₇₃	—	8	1	no	—
923	C₂×C₇₃	—	8	1	no	—
924	C₂×C₇₃	—	8	1	no	—
925	C₂×C₇₃	#3488	1	1	yes	characteristic
926	C₂×C₇₃	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
927	C₂×C₇₃	#3584	1	1	yes	characteristic
928	D₇₃	—	2	2	no	—
929	D₇₃	—	8	1	no	—
930	D₇₃	—	8	1	no	—
931	#3514	—	73	1	no	—
932	D₄×#41	—	73	1	no	—
933	#3399	—	73	1	no	—
934	#3397	—	73	1	no	—
935	#3373	—	73	1	no	—
936	#3367	—	73	1	no	—
937	#3308	—	73	1	no	—
938	#3308	—	73	1	no	—
939	#3306	—	73	1	no	—
940	#3306	—	73	1	no	—
941	#3298	—	73	1	no	—
942	#3294	—	73	1	no	—
943	D₄×SD₁₆	—	73	1	no	—
944	D₄×D₈	—	73	1	no	—
945	#3265	—	73	1	no	—
946	#3265	—	73	1	no	—
947	#3264	—	73	1	no	—
948	#3264	D₇₃	1	1	yes	characteristic, complemented
949	#3251	—	73	1	no	—
950	#3247	—	73	1	no	—
951	#3247	—	73	1	no	—
952	#3213	—	73	1	no	—
953	#3213	—	73	1	no	—
954	#3207	—	73	1	no	—
955	#3114	—	73	1	no	—
956	#3114	—	73	1	no	—
957	#3105	—	73	1	no	—
958	#3036	—	73	1	no	—
959	C₂×#463	—	73	1	no	—
960	C₂×#463	—	73	1	no	—
961	#2990	—	73	1	no	—
962	C₇₃	#61989	1	1	yes	characteristic, complemented, Sylow
963	C₂²×#41	—	146	1	no	—
964	C₂×AGL(1,ℤ/8)	—	73	1	no	—
965	C₂×AGL(1,ℤ/8)	C₂×D₇₃	1	1	yes	characteristic, complemented
966	C₂²×SD₁₆	—	73	1	no	—
967	C₂²×SD₁₆	—	73	1	no	—
968	C₂²×D₈	—	73	1	no	—
969	C₂²×D₈	C₂×D₇₃	1	1	yes	characteristic
970	#559	—	73	1	no	—
971	#556	—	73	1	no	—
972	#555	—	146	1	no	—
973	#551	—	146	1	no	—
974	#551	—	146	1	no	—
975	#550	—	73	1	no	—
976	D₄×Q₈	—	73	1	no	—
977	D₄×Q₈	—	73	1	no	—
978	#548	—	73	1	no	—
979	#548	—	73	1	no	—
980	#548	—	146	1	no	—
981	#547	—	73	1	no	—
982	#547	—	73	1	no	—
983	#547	—	73	1	no	—
984	#546	—	73	1	no	—
985	#546	—	146	1	no	—
986	#546	—	146	1	no	—
987	#546	—	146	1	no	—
988	#546	—	146	1	no	—
989	#546	C₂×D₇₃	1	1	yes	characteristic, complemented
990	D₄²	—	73	1	no	—
991	D₄²	—	73	1	no	—
992	D₄²	—	73	1	no	—
993	D₄²	C₂×D₇₃	1	1	yes	characteristic, complemented
994	#542	—	146	1	no	—
995	#538	—	146	1	no	—
996	#538	—	146	1	no	—
997	#532	—	73	1	no	—
998	#532	—	73	1	no	—
999	#532	—	73	1	no	—
1000	#532	—	73	1	no	—
1001	#529	—	73	1	no	—
1002	#529	—	73	1	no	—
1003	#529	—	73	1	no	—
1004	C₂×#124	—	73	1	no	—
1005	C₂×#124	—	73	1	no	—
1006	#525	—	146	1	no	—
1007	#525	—	146	1	no	—
1008	#525	—	146	1	no	—
1009	#518	—	146	1	no	—
1010	C₄×#41	—	73	1	no	—
1011	C₂×C₄×D₄	—	73	1	no	—
1012	C₂×C₄×D₄	—	73	1	no	—
1013	C₂×C₄×D₄	—	73	1	no	—
1014	#496	—	73	1	no	—
1015	#496	—	73	1	no	—
1016	#496	—	73	1	no	—
1017	#496	C₂×D₇₃	1	1	yes	characteristic, complemented
1018	#493	—	73	1	no	—
1019	#492	—	73	1	no	—
1020	#489	—	73	1	no	—
1021	#489	—	73	1	no	—
1022	#489	—	73	1	no	—
1023	#489	—	73	1	no	—
1024	#487	—	73	1	no	—
1025	#486	—	73	1	no	—
1026	#484	—	73	1	no	—
1027	#483	—	73	1	no	—
1028	#483	—	73	1	no	—
1029	#481	—	73	1	no	—
1030	#480	—	73	1	no	—
1031	#480	—	73	1	no	—
1032	#478	—	73	1	no	—
1033	#478	—	73	1	no	—
1034	#478	—	73	1	no	—
1035	#478	—	73	1	no	—
1036	#477	—	73	1	no	—
1037	#477	—	73	1	no	—
1038	#476	—	73	1	no	—
1039	#476	—	73	1	no	—
1040	#475	—	73	1	no	—
1041	#474	—	73	1	no	—
1042	#469	—	73	1	no	—
1043	#469	C₂×D₇₃	1	1	yes	characteristic, complemented
1044	#468	—	73	1	no	—
1045	#468	—	73	1	no	—
1046	#466	—	73	1	no	—
1047	#466	—	73	1	no	—
1048	#466	—	73	1	no	—
1049	#466	—	73	1	no	—
1050	#465	—	73	1	no	—
1051	#465	—	73	1	no	—
1052	#465	—	73	1	no	—
1053	#465	C₂×D₇₃	1	1	yes	characteristic, complemented
1054	#463	—	73	1	no	—
1055	#463	—	73	1	no	—
1056	#463	—	73	1	no	—
1057	#463	—	73	1	no	—
1058	#463	—	73	1	no	—
1059	#463	—	73	1	no	—
1060	#463	—	73	1	no	—
1061	#463	—	73	1	no	—
1062	#463	—	73	1	no	—
1063	#463	—	73	1	no	—
1064	#463	—	73	1	no	—
1065	#463	—	73	1	no	—
1066	#463	—	73	1	no	—
1067	#463	—	73	1	no	—
1068	#463	—	73	1	no	—
1069	#463	—	73	1	no	—
1070	#463	—	73	1	no	—
1071	#463	—	73	1	no	—
1072	#463	—	73	1	no	—
1073	#463	C₂×D₇₃	1	1	yes	characteristic
1074	#461	—	73	1	no	—
1075	#461	—	73	1	no	—
1076	#460	—	73	1	no	—
1077	#460	—	73	1	no	—
1078	#460	—	73	1	no	—
1079	#459	—	73	1	no	—
1080	#459	—	73	1	no	—
1081	#459	—	73	1	no	—
1082	#459	—	73	1	no	—
1083	#459	C₂×D₇₃	1	1	yes	characteristic, complemented
1084	#450	—	73	1	no	—
1085	#450	—	73	1	no	—
1086	#450	C₂×D₇₃	1	1	yes	characteristic, complemented
1087	#449	—	73	1	no	—
1088	#449	—	73	1	no	—
1089	#449	—	73	1	no	—
1090	#449	C₂×D₇₃	1	1	yes	characteristic, complemented
1091	#448	—	73	1	no	—
1092	#448	—	73	1	no	—
1093	#448	—	73	1	no	—
1094	#448	—	73	1	no	—
1095	#447	—	73	1	no	—
1096	#447	—	73	1	no	—
1097	#447	—	73	1	no	—
1098	#447	—	73	1	no	—
1099	#447	—	73	1	no	—
1100	#447	C₂×D₇₃	1	1	yes	characteristic
1101	#447	C₂×D₇₃	1	1	yes	characteristic, complemented
1102	#446	—	73	1	no	—
1103	#446	—	73	1	no	—
1104	#442	—	73	1	no	—
1105	#442	—	73	1	no	—
1106	#442	—	73	1	no	—
1107	#442	C₂×D₇₃	1	1	yes	characteristic, complemented
1108	#440	—	73	1	no	—
1109	#440	—	73	1	no	—
1110	#440	—	73	1	no	—
1111	#440	—	73	1	no	—
1112	C₄×SD₁₆	—	73	1	no	—
1113	C₄×SD₁₆	—	73	1	no	—
1114	C₄×D₈	—	73	1	no	—
1115	C₄×D₈	—	73	1	no	—
1116	#435	—	73	1	no	—
1117	#435	—	73	1	no	—
1118	#435	—	73	1	no	—
1119	#435	C₂×D₇₃	1	1	yes	characteristic, complemented
1120	C₈×D₄	—	73	1	no	—
1121	C₈×D₄	—	73	1	no	—
1122	#432	—	73	1	no	—
1123	#432	—	73	1	no	—
1124	#431	—	73	1	no	—
1125	#423	—	73	1	no	—
1126	C₂×C₄⋊C₈	—	73	1	no	—
1127	C₂×C₄⋊C₈	—	73	1	no	—
1128	#417	—	73	1	no	—
1129	#417	—	73	1	no	—
1130	C₂×#103	—	73	1	no	—
1131	C₂×#103	—	73	1	no	—
1132	C₂×#102	—	73	1	no	—
1133	C₂×#102	—	73	1	no	—
1134	C₂×#41	—	292	8	no	—
1135	C₂×#41	—	73	1	no	—
1136	C₂×#41	—	73	1	no	—
1137	C₂×#41	—	146	1	no	—
1138	C₂×#41	—	146	1	no	—
1139	C₂×#41	—	146	1	no	—
1140	C₂×#41	—	146	1	no	—
1141	C₂×#41	—	146	1	no	—
1142	C₂×#41	—	146	1	no	—
1143	C₂×#41	—	146	1	no	—
1144	C₂×#41	C₂²×D₇₃	1	1	yes	characteristic
1145	C₂²×Q₈	—	73	1	no	—
1146	C₂²×Q₈	—	73	1	no	—
1147	C₂²×Q₈	—	146	1	no	—
1148	C₂²×D₄	—	2	1	no	—
1149	C₂²×D₄	—	73	1	no	—
1150	C₂²×D₄	—	73	1	no	—
1151	C₂²×D₄	—	146	1	no	—
1152	C₂²×D₄	—	146	1	no	—
1153	C₂²×D₄	—	146	1	no	—
1154	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
1155	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
1156	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
1157	C₂³×C₄	—	146	1	no	—
1158	C₂³×C₄	—	146	1	no	—
1159	C₂³×C₄	—	146	1	no	—
1160	AGL(1,ℤ/8)	—	4	2	no	—
1161	AGL(1,ℤ/8)	—	292	2	no	—
1162	C₂×SD₁₆	—	292	2	no	—
1163	C₂×SD₁₆	—	292	2	no	—
1164	C₂×SD₁₆	—	73	1	no	—
1165	C₂×SD₁₆	—	73	1	no	—
1166	C₂×SD₁₆	—	73	1	no	—
1167	C₂×SD₁₆	—	73	1	no	—
1168	C₂×SD₁₆	—	73	1	no	—
1169	C₂×SD₁₆	—	73	1	no	—
1170	C₂×SD₁₆	—	73	1	no	—
1171	C₂×SD₁₆	—	73	1	no	—
1172	C₂×SD₁₆	—	73	1	no	—
1173	C₂×SD₁₆	C₂²×D₇₃	1	1	yes	characteristic
1174	C₂×SD₁₆	C₂²×D₇₃	1	1	yes	characteristic
1175	C₂×SD₁₆	C₂²×D₇₃	1	1	yes	characteristic
1176	C₂×D₈	—	4	2	no	—
1177	C₂×D₈	—	292	2	no	—
1178	C₂×D₈	—	73	1	no	—
1179	C₂×D₈	—	73	1	no	—
1180	C₂×D₈	—	73	1	no	—
1181	C₂×D₈	—	73	1	no	—
1182	C₂×D₈	—	73	1	no	—
1183	C₂×D₈	—	73	1	no	—
1184	C₂×D₈	C₂²×D₇₃	1	1	yes	characteristic
1185	C₂×D₈	C₂²×D₇₃	1	1	yes	characteristic
1186	C₂×D₈	C₂²×D₇₃	1	1	yes	characteristic
1187	C₂×D₈	C₂²×D₇₃	1	1	yes	characteristic
1188	C₂×D₈	C₂²×D₇₃	1	1	yes	characteristic
1189	C₂×D₈	C₂²×D₇₃	1	1	yes	characteristic
1190	C₂×M₁₆	—	73	1	no	—
1191	C₂×M₁₆	C₂²×D₇₃	1	1	yes	characteristic
1192	C₂²×C₈	—	73	1	no	—
1193	C₂²×C₈	—	73	1	no	—
1194	C₂²×C₈	—	73	1	no	—
1195	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
1196	C₄⋊Q₈	—	73	1	no	—
1197	C₄⋊Q₈	—	73	1	no	—
1198	C₄⋊Q₈	—	73	1	no	—
1199	C₄⋊Q₈	—	73	1	no	—
1200	C₄⋊Q₈	—	146	1	no	—
1201	#127	—	73	1	no	—
1202	#127	—	73	1	no	—
1203	#127	—	73	1	no	—
1204	#127	C₂²×D₇₃	1	1	yes	characteristic
1205	#126	—	146	1	no	—
1206	#126	—	146	1	no	—
1207	#126	—	146	1	no	—
1208	#126	—	146	1	no	—
1209	#126	—	146	1	no	—
1210	#125	—	73	1	no	—
1211	#124	—	73	1	no	—
1212	#124	—	73	1	no	—
1213	#124	—	73	1	no	—
1214	#124	—	73	1	no	—
1215	#124	—	73	1	no	—
1216	#124	—	73	1	no	—
1217	#124	—	146	1	no	—
1218	#124	—	146	1	no	—
1219	#124	—	146	1	no	—
1220	#124	—	146	1	no	—
1221	#124	—	146	1	no	—
1222	#124	—	146	1	no	—
1223	#124	—	146	1	no	—
1224	#124	—	146	1	no	—
1225	#124	—	146	1	no	—
1226	#124	—	146	1	no	—
1227	#124	C₂²×D₇₃	1	1	yes	characteristic
1228	#123	—	2	1	no	—
1229	#123	—	146	1	no	—
1230	#123	—	146	1	no	—
1231	#123	—	146	1	no	—
1232	#123	—	146	1	no	—
1233	#123	—	146	1	no	—
1234	#123	—	146	1	no	—
1235	#123	—	146	1	no	—
1236	#123	—	146	1	no	—
1237	#123	—	146	1	no	—
1238	#123	—	146	1	no	—
1239	#123	—	146	1	no	—
1240	#123	—	146	1	no	—
1241	C₂²⋊Q₈	—	73	1	no	—
1242	C₂²⋊Q₈	—	73	1	no	—
1243	C₂²⋊Q₈	—	146	1	no	—
1244	C₂²⋊Q₈	—	146	1	no	—
1245	C₂²⋊Q₈	—	146	1	no	—
1246	C₂²⋊Q₈	—	146	1	no	—
1247	C₂²⋊Q₈	—	146	1	no	—
1248	C₂²⋊Q₈	—	146	1	no	—
1249	C₂²⋊Q₈	—	146	1	no	—
1250	C₂²⋊Q₈	—	146	1	no	—
1251	C₂²⋊Q₈	—	146	1	no	—
1252	C₂²⋊Q₈	—	146	1	no	—
1253	C₂²⋊Q₈	—	146	1	no	—
1254	C₂²⋊Q₈	C₂²×D₇₃	1	1	yes	characteristic
1255	#121	—	2	1	no	—
1256	#121	—	2	1	no	—
1257	#121	—	73	1	no	—
1258	#121	—	73	1	no	—
1259	#121	—	73	1	no	—
1260	#121	—	73	1	no	—
1261	#121	—	73	1	no	—
1262	#121	—	73	1	no	—
1263	#121	—	146	1	no	—
1264	#121	—	146	1	no	—
1265	#121	—	146	1	no	—
1266	#121	—	146	1	no	—
1267	#121	—	146	1	no	—
1268	#121	—	146	1	no	—
1269	#121	—	146	1	no	—
1270	#121	—	146	1	no	—
1271	#121	—	146	1	no	—
1272	#121	—	146	1	no	—
1273	#121	—	146	1	no	—
1274	#121	—	146	1	no	—
1275	#121	—	146	1	no	—
1276	#121	—	146	1	no	—
1277	#121	C₂²×D₇₃	1	1	yes	characteristic
1278	#121	C₂²×D₇₃	1	1	yes	characteristic
1279	#121	C₂²×D₇₃	1	1	yes	characteristic
1280	#120	—	2	1	no	—
1281	#120	—	2	1	no	—
1282	#120	—	2	1	no	—
1283	#120	—	146	1	no	—
1284	#120	—	146	1	no	—
1285	#120	—	146	1	no	—
1286	#120	—	146	1	no	—
1287	#120	—	146	1	no	—
1288	#120	—	146	1	no	—
1289	#120	—	146	1	no	—
1290	C₄×Q₈	—	73	1	no	—
1291	C₄×Q₈	—	73	1	no	—
1292	C₄×Q₈	—	73	1	no	—
1293	C₄×Q₈	—	73	1	no	—
1294	C₄×Q₈	—	73	1	no	—
1295	C₄×D₄	—	73	1	no	—
1296	C₄×D₄	—	73	1	no	—
1297	C₄×D₄	—	73	1	no	—
1298	C₄×D₄	—	73	1	no	—
1299	C₄×D₄	—	73	1	no	—
1300	C₄×D₄	—	73	1	no	—
1301	C₄×D₄	—	73	1	no	—
1302	C₄×D₄	—	73	1	no	—
1303	C₄×D₄	—	73	1	no	—
1304	C₄×D₄	—	73	1	no	—
1305	C₄×D₄	—	73	1	no	—
1306	C₄×D₄	—	73	1	no	—
1307	C₄×D₄	—	73	1	no	—
1308	C₄×D₄	—	73	1	no	—
1309	C₄×D₄	—	73	1	no	—
1310	C₄×D₄	—	73	1	no	—
1311	C₄×D₄	—	146	1	no	—
1312	C₄×D₄	—	146	1	no	—
1313	C₄×D₄	—	146	1	no	—
1314	C₄×D₄	—	146	1	no	—
1315	C₄×D₄	—	146	1	no	—
1316	C₄×D₄	—	146	1	no	—
1317	C₄×D₄	—	146	1	no	—
1318	C₄×D₄	—	146	1	no	—
1319	C₄×D₄	—	146	1	no	—
1320	C₄×D₄	—	146	1	no	—
1321	C₄×D₄	—	146	1	no	—
1322	C₄×D₄	—	146	1	no	—
1323	C₄×D₄	—	146	1	no	—
1324	C₄×D₄	—	146	1	no	—
1325	C₄×D₄	—	146	1	no	—
1326	C₄×D₄	—	146	1	no	—
1327	C₄×D₄	—	146	1	no	—
1328	C₄×D₄	—	146	1	no	—
1329	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
1330	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
1331	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
1332	#117	—	73	1	no	—
1333	#117	—	73	1	no	—
1334	#117	—	73	1	no	—
1335	#117	—	146	1	no	—
1336	#117	—	146	1	no	—
1337	#117	—	146	1	no	—
1338	#117	—	146	1	no	—
1339	C₂×C₄⋊C₄	—	73	1	no	—
1340	C₂×C₄⋊C₄	—	73	1	no	—
1341	C₂×C₄⋊C₄	—	73	1	no	—
1342	C₂×C₂²⋊C₄	—	2	1	no	—
1343	C₂×C₂²⋊C₄	—	146	1	no	—
1344	C₂×C₂²⋊C₄	—	146	1	no	—
1345	C₂×C₂²⋊C₄	—	146	1	no	—
1346	C₂×C₂²⋊C₄	—	146	1	no	—
1347	C₂×C₂²⋊C₄	—	146	1	no	—
1348	C₂×C₂²⋊C₄	—	146	1	no	—
1349	C₂×C₂²⋊C₄	—	146	1	no	—
1350	C₂×C₂²⋊C₄	—	146	1	no	—
1351	C₂×C₄²	—	73	1	no	—
1352	C₂×C₄²	—	73	1	no	—
1353	C₂×C₄²	—	73	1	no	—
1354	#107	—	73	1	no	—
1355	#107	—	73	1	no	—
1356	#107	—	73	1	no	—
1357	#107	—	73	1	no	—
1358	#106	—	73	1	no	—
1359	#106	—	73	1	no	—
1360	#106	—	73	1	no	—
1361	#106	C₂²×D₇₃	1	1	yes	characteristic
1362	C₄⋊C₈	—	73	1	no	—
1363	C₄⋊C₈	—	73	1	no	—
1364	C₄⋊C₈	—	73	1	no	—
1365	C₄⋊C₈	—	73	1	no	—
1366	C₄⋊C₈	—	73	1	no	—
1367	C₄⋊C₈	—	73	1	no	—
1368	C₄⋊C₈	—	73	1	no	—
1369	C₄⋊C₈	—	73	1	no	—
1370	C₄⋊C₈	—	73	1	no	—
1371	C₄⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
1372	#103	—	73	1	no	—
1373	#103	—	73	1	no	—
1374	#103	—	73	1	no	—
1375	#103	—	73	1	no	—
1376	#103	—	73	1	no	—
1377	#103	—	73	1	no	—
1378	#103	—	73	1	no	—
1379	#103	—	73	1	no	—
1380	#103	—	73	1	no	—
1381	#103	—	73	1	no	—
1382	#103	—	73	1	no	—
1383	#103	C₂²×D₇₃	1	1	yes	characteristic
1384	#102	—	73	1	no	—
1385	#102	—	73	1	no	—
1386	#102	—	73	1	no	—
1387	#102	—	73	1	no	—
1388	#102	—	73	1	no	—
1389	#102	—	73	1	no	—
1390	#102	—	73	1	no	—
1391	#102	—	73	1	no	—
1392	#102	—	73	1	no	—
1393	#102	—	73	1	no	—
1394	#102	—	73	1	no	—
1395	#102	—	73	1	no	—
1396	#102	—	73	1	no	—
1397	#102	—	73	1	no	—
1398	#102	—	73	1	no	—
1399	#102	C₂²×D₇₃	1	1	yes	characteristic
1400	#102	C₂²×D₇₃	1	1	yes	characteristic
1401	#102	C₂²×D₇₃	1	1	yes	characteristic
1402	#102	C₂²×D₇₃	1	1	yes	characteristic
1403	#102	C₂²×D₇₃	1	1	yes	characteristic
1404	C₂²⋊C₈	—	73	1	no	—
1405	C₂²⋊C₈	—	73	1	no	—
1406	C₂²⋊C₈	—	73	1	no	—
1407	C₂²⋊C₈	—	73	1	no	—
1408	C₂²⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
1409	C₂²⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
1410	#97	—	73	1	no	—
1411	#97	—	73	1	no	—
1412	#97	—	73	1	no	—
1413	#97	C₂²×D₇₃	1	1	yes	characteristic
1414	C₄×C₈	—	73	1	no	—
1415	C₄×C₈	—	73	1	no	—
1416	C₂⁴	—	2	1	no	—
1417	C₂⁴	—	2	1	no	—
1418	C₂⁴	—	2	1	no	—
1419	C₂⁴	—	146	1	no	—
1420	C₂⁴	—	146	1	no	—
1421	#41	—	4	1	no	—
1422	#41	—	4	1	no	—
1423	#41	—	292	1	no	—
1424	#41	—	292	1	no	—
1425	#41	—	292	4	no	—
1426	#41	—	292	4	no	—
1427	#41	—	292	4	no	—
1428	#41	—	292	4	no	—
1429	#41	—	292	4	no	—
1430	#41	—	292	4	no	—
1431	#41	—	292	4	no	—
1432	#41	—	146	4	no	—
1433	C₂×Q₈	—	292	1	no	—
1434	C₂×Q₈	—	292	1	no	—
1435	C₂×Q₈	—	292	4	no	—
1436	C₂×Q₈	—	292	1	no	—
1437	C₂×Q₈	—	292	1	no	—
1438	C₂×Q₈	—	73	1	no	—
1439	C₂×Q₈	—	73	1	no	—
1440	C₂×Q₈	—	73	1	no	—
1441	C₂×Q₈	—	146	1	no	—
1442	C₂×Q₈	—	146	1	no	—
1443	C₂×Q₈	—	146	1	no	—
1444	C₂×Q₈	—	146	1	no	—
1445	C₂×Q₈	—	146	1	no	—
1446	C₂×Q₈	C₂³×D₇₃	1	1	yes	characteristic
1447	C₂×D₄	—	2	2	no	—
1448	C₂×D₄	—	2	2	no	—
1449	C₂×D₄	—	2	1	no	—
1450	C₂×D₄	—	2	1	no	—
1451	C₂×D₄	—	2	1	no	—
1452	C₂×D₄	—	2	1	no	—
1453	C₂×D₄	—	2	1	no	—
1454	C₂×D₄	—	2	1	no	—
1455	C₂×D₄	—	2	1	no	—
1456	C₂×D₄	—	2	1	no	—
1457	C₂×D₄	—	2	1	no	—
1458	C₂×D₄	—	4	1	no	—
1459	C₂×D₄	—	4	1	no	—
1460	C₂×D₄	—	4	1	no	—
1461	C₂×D₄	—	4	1	no	—
1462	C₂×D₄	—	4	4	no	—
1463	C₂×D₄	—	292	4	no	—
1464	C₂×D₄	—	292	4	no	—
1465	C₂×D₄	—	292	4	no	—
1466	C₂×D₄	—	292	1	no	—
1467	C₂×D₄	—	292	1	no	—
1468	C₂×D₄	—	292	1	no	—
1469	C₂×D₄	—	73	1	no	—
1470	C₂×D₄	—	73	1	no	—
1471	C₂×D₄	—	73	1	no	—
1472	C₂×D₄	—	73	1	no	—
1473	C₂×D₄	—	146	1	no	—
1474	C₂×D₄	—	146	1	no	—
1475	C₂×D₄	—	146	1	no	—
1476	C₂×D₄	—	146	1	no	—
1477	C₂×D₄	—	146	1	no	—
1478	C₂×D₄	—	146	1	no	—
1479	C₂×D₄	—	146	1	no	—
1480	C₂×D₄	—	146	1	no	—
1481	C₂×D₄	—	146	1	no	—
1482	C₂×D₄	—	146	1	no	—
1483	C₂×D₄	—	146	1	no	—
1484	C₂×D₄	—	146	1	no	—
1485	C₂×D₄	—	146	1	no	—
1486	C₂×D₄	—	146	1	no	—
1487	C₂×D₄	—	146	2	no	—
1488	C₂×D₄	—	146	1	no	—
1489	C₂×D₄	D₄×D₇₃	1	1	yes	characteristic
1490	C₂×D₄	C₂³×D₇₃	1	1	yes	characteristic
1491	C₂×D₄	C₂³×D₇₃	1	1	yes	characteristic
1492	C₂×D₄	C₂³×D₇₃	1	1	yes	characteristic
1493	C₂×D₄	C₂³×D₇₃	1	1	yes	characteristic
1494	C₂×D₄	C₂³×D₇₃	1	1	yes	characteristic
1495	C₂²×C₄	—	2	1	no	—
1496	C₂²×C₄	—	2	1	no	—
1497	C₂²×C₄	—	2	1	no	—
1498	C₂²×C₄	—	292	4	no	—
1499	C₂²×C₄	—	292	4	no	—
1500	C₂²×C₄	—	292	4	no	—
1501	C₂²×C₄	—	73	1	no	—
1502	C₂²×C₄	—	73	1	no	—
1503	C₂²×C₄	—	73	1	no	—
1504	C₂²×C₄	—	73	1	no	—
1505	C₂²×C₄	—	73	1	no	—
1506	C₂²×C₄	—	73	1	no	—
1507	C₂²×C₄	—	73	1	no	—
1508	C₂²×C₄	—	146	1	no	—
1509	C₂²×C₄	—	146	1	no	—
1510	C₂²×C₄	—	146	1	no	—
1511	C₂²×C₄	—	146	1	no	—
1512	C₂²×C₄	—	146	1	no	—
1513	C₂²×C₄	—	146	1	no	—
1514	C₂²×C₄	—	146	1	no	—
1515	C₂²×C₄	—	146	1	no	—
1516	C₂²×C₄	—	146	1	no	—
1517	C₂²×C₄	—	146	1	no	—
1518	C₂²×C₄	—	146	1	no	—
1519	C₂²×C₄	—	146	1	no	—
1520	C₂²×C₄	—	146	1	no	—
1521	C₂²×C₄	—	146	1	no	—
1522	C₂²×C₄	—	146	1	no	—
1523	C₂²×C₄	—	146	1	no	—
1524	C₂²×C₄	—	146	1	no	—
1525	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1526	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1527	SD₁₆	—	2	2	no	—
1528	SD₁₆	—	4	1	no	—
1529	SD₁₆	—	4	1	no	—
1530	SD₁₆	—	292	1	no	—
1531	SD₁₆	—	292	1	no	—
1532	SD₁₆	—	292	1	no	—
1533	SD₁₆	—	292	1	no	—
1534	SD₁₆	—	292	1	no	—
1535	SD₁₆	—	292	1	no	—
1536	SD₁₆	—	292	1	no	—
1537	SD₁₆	—	146	2	no	—
1538	SD₁₆	—	146	2	no	—
1539	D₈	—	2	2	no	—
1540	D₈	—	2	2	no	—
1541	D₈	—	4	1	no	—
1542	D₈	—	4	1	no	—
1543	D₈	—	4	1	no	—
1544	D₈	—	4	1	no	—
1545	D₈	—	292	1	no	—
1546	D₈	—	292	1	no	—
1547	D₈	—	292	1	no	—
1548	D₈	—	292	1	no	—
1549	D₈	—	292	1	no	—
1550	D₈	—	146	2	no	—
1551	M₁₆	—	4	1	no	—
1552	M₁₆	—	292	1	no	—
1553	C₂×C₈	—	4	1	no	—
1554	C₂×C₈	—	292	1	no	—
1555	C₂×C₈	—	292	1	no	—
1556	C₂×C₈	—	292	1	no	—
1557	C₂×C₈	—	73	1	no	—
1558	C₂×C₈	—	73	1	no	—
1559	C₂×C₈	—	73	1	no	—
1560	C₂×C₈	—	73	1	no	—
1561	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
1562	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
1563	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
1564	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
1565	C₄⋊C₄	—	2	1	no	—
1566	C₄⋊C₄	—	73	1	no	—
1567	C₄⋊C₄	—	73	1	no	—
1568	C₄⋊C₄	—	73	1	no	—
1569	C₄⋊C₄	—	73	1	no	—
1570	C₄⋊C₄	—	73	1	no	—
1571	C₄⋊C₄	—	73	1	no	—
1572	C₄⋊C₄	—	73	1	no	—
1573	C₄⋊C₄	—	73	1	no	—
1574	C₄⋊C₄	—	73	1	no	—
1575	C₄⋊C₄	—	146	1	no	—
1576	C₄⋊C₄	—	146	1	no	—
1577	C₄⋊C₄	—	146	1	no	—
1578	C₄⋊C₄	—	146	1	no	—
1579	C₄⋊C₄	—	146	1	no	—
1580	C₄⋊C₄	—	146	1	no	—
1581	C₄⋊C₄	—	146	1	no	—
1582	C₄⋊C₄	—	146	1	no	—
1583	C₄⋊C₄	—	146	1	no	—
1584	C₄⋊C₄	—	146	1	no	—
1585	C₄⋊C₄	—	146	1	no	—
1586	C₄⋊C₄	—	146	1	no	—
1587	C₄⋊C₄	—	146	1	no	—
1588	C₄⋊C₄	—	146	1	no	—
1589	C₄⋊C₄	—	146	1	no	—
1590	C₄⋊C₄	D₄×D₇₃	1	1	yes	characteristic
1591	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1592	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1593	C₂²⋊C₄	—	2	1	no	—
1594	C₂²⋊C₄	—	2	1	no	—
1595	C₂²⋊C₄	—	2	1	no	—
1596	C₂²⋊C₄	—	2	1	no	—
1597	C₂²⋊C₄	—	2	1	no	—
1598	C₂²⋊C₄	—	2	1	no	—
1599	C₂²⋊C₄	—	2	1	no	—
1600	C₂²⋊C₄	—	2	1	no	—
1601	C₂²⋊C₄	—	73	1	no	—
1602	C₂²⋊C₄	—	73	1	no	—
1603	C₂²⋊C₄	—	73	1	no	—
1604	C₂²⋊C₄	—	73	1	no	—
1605	C₂²⋊C₄	—	146	1	no	—
1606	C₂²⋊C₄	—	146	1	no	—
1607	C₂²⋊C₄	—	146	1	no	—
1608	C₂²⋊C₄	—	146	1	no	—
1609	C₂²⋊C₄	—	146	1	no	—
1610	C₂²⋊C₄	—	146	1	no	—
1611	C₂²⋊C₄	—	146	1	no	—
1612	C₂²⋊C₄	—	146	1	no	—
1613	C₂²⋊C₄	—	146	1	no	—
1614	C₂²⋊C₄	—	146	1	no	—
1615	C₂²⋊C₄	—	146	1	no	—
1616	C₂²⋊C₄	—	146	1	no	—
1617	C₂²⋊C₄	—	146	1	no	—
1618	C₂²⋊C₄	—	146	1	no	—
1619	C₂²⋊C₄	—	146	1	no	—
1620	C₂²⋊C₄	—	146	1	no	—
1621	C₂²⋊C₄	—	146	1	no	—
1622	C₂²⋊C₄	—	146	1	no	—
1623	C₂²⋊C₄	—	146	1	no	—
1624	C₂²⋊C₄	—	146	1	no	—
1625	C₂²⋊C₄	—	146	1	no	—
1626	C₂²⋊C₄	—	146	1	no	—
1627	C₂²⋊C₄	—	146	1	no	—
1628	C₂²⋊C₄	—	146	1	no	—
1629	C₂²⋊C₄	—	146	1	no	—
1630	C₂²⋊C₄	—	146	1	no	—
1631	C₂²⋊C₄	—	146	1	no	—
1632	C₂²⋊C₄	—	146	1	no	—
1633	C₂²⋊C₄	—	146	1	no	—
1634	C₂²⋊C₄	—	146	1	no	—
1635	C₂²⋊C₄	—	146	1	no	—
1636	C₂²⋊C₄	D₄×D₇₃	1	1	yes	characteristic
1637	C₂²⋊C₄	D₄×D₇₃	1	1	yes	characteristic
1638	C₄²	—	73	1	no	—
1639	C₄²	—	73	1	no	—
1640	C₄²	—	73	1	no	—
1641	C₄²	—	73	1	no	—
1642	C₄²	—	73	1	no	—
1643	C₄²	—	73	1	no	—
1644	C₄²	—	73	1	no	—
1645	C₄²	—	73	1	no	—
1646	C₄²	—	73	1	no	—
1647	C₄²	—	146	1	no	—
1648	C₄²	—	146	1	no	—
1649	C₄²	—	146	1	no	—
1650	C₄²	C₂³×D₇₃	1	1	yes	characteristic
1651	C₂³	—	2	1	no	—
1652	C₂³	—	2	1	no	—
1653	C₂³	—	2	1	no	—
1654	C₂³	—	2	1	no	—
1655	C₂³	—	2	1	no	—
1656	C₂³	—	4	2	no	—
1657	C₂³	—	4	2	no	—
1658	C₂³	—	4	2	no	—
1659	C₂³	—	4	2	no	—
1660	C₂³	—	4	2	no	—
1661	C₂³	—	8	1	no	—
1662	C₂³	—	8	1	no	—
1663	C₂³	—	8	1	no	—
1664	C₂³	—	8	1	no	—
1665	C₂³	—	292	2	no	—
1666	C₂³	—	292	2	no	—
1667	C₂³	—	292	2	no	—
1668	C₂³	—	584	1	no	—
1669	C₂³	—	584	1	no	—
1670	C₂³	—	584	1	no	—
1671	C₂³	—	73	1	no	—
1672	C₂³	—	146	1	no	—
1673	C₂³	—	146	1	no	—
1674	C₂³	C₂×D₄×D₇₃	1	1	yes	characteristic
1675	C₂³	C₂×D₄×D₇₃	1	1	yes	characteristic
1676	Q₈	—	2	1	no	—
1677	Q₈	—	2	1	no	—
1678	Q₈	—	292	2	no	—
1679	Q₈	—	292	2	no	—
1680	Q₈	—	292	2	no	—
1681	Q₈	—	584	1	no	—
1682	Q₈	—	584	1	no	—
1683	Q₈	—	146	2	no	—
1684	Q₈	—	146	1	no	—
1685	Q₈	—	146	1	no	—
1686	Q₈	—	146	1	no	—
1687	Q₈	—	146	1	no	—
1688	D₄	—	2	2	no	—
1689	D₄	—	2	1	no	—
1690	D₄	—	2	1	no	—
1691	D₄	—	2	1	no	—
1692	D₄	—	2	1	no	—
1693	D₄	—	2	1	no	—
1694	D₄	—	2	1	no	—
1695	D₄	—	2	1	no	—
1696	D₄	—	2	1	no	—
1697	D₄	—	2	1	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	—	8	1	no	—
1704	D₄	—	8	1	no	—
1705	D₄	—	8	1	no	—
1706	D₄	—	8	1	no	—
1707	D₄	—	292	2	no	—
1708	D₄	—	292	2	no	—
1709	D₄	—	292	2	no	—
1710	D₄	—	292	2	no	—
1711	D₄	—	292	2	no	—
1712	D₄	—	292	2	no	—
1713	D₄	—	292	2	no	—
1714	D₄	—	292	2	no	—
1715	D₄	—	292	2	no	—
1716	D₄	—	292	2	no	—
1717	D₄	—	584	1	no	—
1718	D₄	—	584	1	no	—
1719	D₄	—	584	1	no	—
1720	D₄	—	584	1	no	—
1721	D₄	—	584	1	no	—
1722	D₄	—	73	4	no	—
1723	D₄	—	146	2	no	—
1724	D₄	—	146	1	no	—
1725	D₄	—	146	1	no	—
1726	D₄	—	146	1	no	—
1727	D₄	—	146	1	no	—
1728	D₄	#14556636	1	2	yes	—
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	—	2	1	no	—
1736	C₂×C₄	—	4	2	no	—
1737	C₂×C₄	—	8	1	no	—
1738	C₂×C₄	—	8	1	no	—
1739	C₂×C₄	—	292	2	no	—
1740	C₂×C₄	—	292	1	no	—
1741	C₂×C₄	—	292	2	no	—
1742	C₂×C₄	—	292	2	no	—
1743	C₂×C₄	—	292	2	no	—
1744	C₂×C₄	—	292	2	no	—
1745	C₂×C₄	—	292	2	no	—
1746	C₂×C₄	—	292	2	no	—
1747	C₂×C₄	—	292	2	no	—
1748	C₂×C₄	—	292	2	no	—
1749	C₂×C₄	—	292	2	no	—
1750	C₂×C₄	—	292	2	no	—
1751	C₂×C₄	—	292	2	no	—
1752	C₂×C₄	—	292	2	no	—
1753	C₂×C₄	—	292	1	no	—
1754	C₂×C₄	—	292	1	no	—
1755	C₂×C₄	—	584	1	no	—
1756	C₂×C₄	—	584	1	no	—
1757	C₂×C₄	—	584	1	no	—
1758	C₂×C₄	—	584	1	no	—
1759	C₂×C₄	—	73	1	no	—
1760	C₂×C₄	—	73	1	no	—
1761	C₂×C₄	—	73	1	no	—
1762	C₂×C₄	—	73	1	no	—
1763	C₂×C₄	—	73	1	no	—
1764	C₂×C₄	—	73	1	no	—
1765	C₂×C₄	—	73	1	no	—
1766	C₂×C₄	—	146	2	no	—
1767	C₂×C₄	—	146	1	no	—
1768	C₂×C₄	—	146	1	no	—
1769	C₂×C₄	—	146	1	no	—
1770	C₂×C₄	—	146	1	no	—
1771	C₂×C₄	—	146	1	no	—
1772	C₂×C₄	—	146	1	no	—
1773	C₂×C₄	—	146	2	no	—
1774	C₂×C₄	—	146	2	no	—
1775	C₂×C₄	—	146	1	no	—
1776	C₂×C₄	—	146	1	no	—
1777	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
1778	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
1779	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
1780	C₂×C₄	C₂×D₄×D₇₃	1	1	yes	characteristic
1781	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1782	C₈	—	2	1	no	—
1783	C₈	—	2	1	no	—
1784	C₈	—	2	1	no	—
1785	C₈	—	2	1	no	—
1786	C₈	—	146	1	no	—
1787	C₈	—	146	1	no	—
1788	C₈	—	146	1	no	—
1789	C₈	—	146	1	no	—
1790	C₂²	—	2	1	no	—
1791	C₂²	—	2	1	no	—
1792	C₂²	—	2	1	no	—
1793	C₂²	—	2	2	no	—
1794	C₂²	—	2	1	no	—
1795	C₂²	—	2	1	no	—
1796	C₂²	—	4	1	no	—
1797	C₂²	—	4	1	no	—
1798	C₂²	—	4	1	no	—
1799	C₂²	—	4	1	no	—
1800	C₂²	—	4	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	—	4	1	no	—
1810	C₂²	—	8	4	no	—
1811	C₂²	—	8	4	no	—
1812	C₂²	—	16	2	no	—
1813	C₂²	—	292	1	no	—
1814	C₂²	—	292	1	no	—
1815	C₂²	—	292	1	no	—
1816	C₂²	—	292	1	no	—
1817	C₂²	—	292	1	no	—
1818	C₂²	—	292	1	no	—
1819	C₂²	—	584	4	no	—
1820	C₂²	—	73	2	no	—
1821	C₂²	—	1168	2	no	—
1822	C₂²	—	146	1	no	—
1823	C₂²	—	146	1	no	—
1824	C₂²	AGL(1,ℤ/8)×D₇₃	1	2	yes	—
1825	C₂²	C₂²×D₄×D₇₃	1	1	yes	characteristic
1826	C₄	—	2	1	no	—
1827	C₄	—	2	1	no	—
1828	C₄	—	2	1	no	—
1829	C₄	—	2	1	no	—
1830	C₄	—	4	1	no	—
1831	C₄	—	4	1	no	—
1832	C₄	—	4	1	no	—
1833	C₄	—	292	1	no	—
1834	C₄	—	292	1	no	—
1835	C₄	—	292	1	no	—
1836	C₄	—	292	1	no	—
1837	C₄	—	292	1	no	—
1838	C₄	—	292	1	no	—
1839	C₄	—	73	2	no	—
1840	C₄	—	146	1	no	—
1841	C₄	—	146	1	no	—
1842	C₄	—	146	1	no	—
1843	C₄	—	146	1	no	—
1844	C₄	—	146	1	no	—
1845	C₄	—	146	1	no	—
1846	C₄	C₂×#14556636	1	1	yes	characteristic
1847	C₄	#17989422	1	1	yes	characteristic
1848	C₂	—	2	2	no	—
1849	C₂	—	4	1	no	—
1850	C₂	—	4	2	no	—
1851	C₂	—	8	1	no	—
1852	C₂	—	8	1	no	—
1853	C₂	—	8	1	no	—
1854	C₂	—	8	1	no	—
1855	C₂	—	584	1	no	—
1856	C₂	—	584	1	no	—
1857	C₂	—	146	2	no	—
1858	C₂	#22623591	1	1	yes	characteristic
1859	C₂	C₂×AGL(1,ℤ/8)×D₇₃	1	1	yes	characteristic
1860	C₂	#22624699	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₇₃
commutator, cosocle	C₂×C₄×C₇₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₇₃
Fitting	C₇₃×#3264	C₂
socle	C₂²×C₇₃	C₂³×D₄
hypercenter	#3264	D₇₃
hypocenter	C₇₃	#61989
LCS	G ▷ C₂×C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ C₄×D₄ ◁ #3264

Complements

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

N	H ≅ G/N	type
1. #22623889	C₂	semidirect
2. D₄×#11924027	C₂	semidirect
3. #22622976	C₂	semidirect
4. #22622948	C₂	semidirect
5. #22622724	C₂	semidirect
6. #22622644	C₂	semidirect
7. #22621924	C₂	semidirect
8. #22621915	C₂	semidirect
9. #22621892	C₂	semidirect
10. #22621887	C₂	semidirect
11. #22621791	C₂	semidirect
12. #22621737	C₂	semidirect
13. #22621625	C₂	semidirect
14. D₈×C₂²⋊D₇₃	C₂	semidirect
15. #22621422	C₂	semidirect
16. #22621420	C₂	semidirect
17. #22621409	C₂	semidirect
18. #22621286	C₂	semidirect
19. #22621253	C₂	semidirect
20. #22621252	C₂	semidirect
21. #22620915	C₂	semidirect
22. #22620913	C₂	semidirect
23. #22620862	C₂	semidirect
24. #22620070	C₂	semidirect
25. #22620067	C₂	semidirect
26. #22619973	C₂	semidirect
27. #22619392	C₂	semidirect
28. C₂×#17988800	C₂	semidirect
29. #463×D₇₃	C₂	semidirect
30. #22619051	C₂	semidirect
31. C₇₃×#3264	C₂	semidirect
33. C₂×#14556617	C₂²	semidirect
34. C₂²×#11924016	C₂²	semidirect
35. C₂×SD₁₆×D₇₃	C₂²	semidirect
37. #17989320	C₂²	semidirect
38. #17989306	C₂²	semidirect
42. #17989257	C₂²	semidirect
43. D₄×Dic₁₄₆	C₂²	semidirect
44. #17989250	C₂²	semidirect
45. #17989246	C₂²	semidirect
46. #17989244	C₂²	semidirect
48. #17989241	C₂²	semidirect
50. #17989237	C₂²	semidirect
51. #17989234	C₂²	semidirect
57. D₄×C₂²⋊D₇₃	C₂²	semidirect
58. D₄×C₂²⋊D₇₃	C₂²	semidirect
62. #17989135	C₂²	semidirect
63. #17989133	C₂²	semidirect
64. #17989132	C₂²	semidirect
65. #17989132	C₂²	semidirect
66. #17989123	C₂²	semidirect
67. #17989119	C₂²	semidirect
68. #17989118	C₂²	semidirect
69. C₂×#14556578	C₂²	semidirect
70. #124×D₇₃	C₂²	semidirect
76. C₂×D₄×Dic₇₃	C₂²	semidirect
77. C₂×D₄×Dic₇₃	C₂²	semidirect
78. C₄×D₄×D₇₃	C₂²	semidirect
79. #17988975	C₂²	semidirect
80. #17988975	C₂²	semidirect
81. #17988974	C₂²	semidirect
82. #17988962	C₂²	semidirect
83. #17988958	C₂²	semidirect
84. #17988947	C₂²	semidirect
85. #17988946	C₂²	semidirect
86. #17988945	C₂²	semidirect
87. #17988945	C₂²	semidirect
88. #17988936	C₂²	semidirect
89. #17988932	C₂²	semidirect
90. #17988923	C₂²	semidirect
91. #17988919	C₂²	semidirect
92. #17988915	C₂²	semidirect
93. #17988903	C₂²	semidirect
94. #17988901	C₂²	semidirect
95. #17988899	C₂²	semidirect
96. #17988886	C₂²	semidirect
97. #17988885	C₂²	semidirect
98. #17988885	C₂²	semidirect
99. #17988885	C₂²	semidirect
100. #17988883	C₂²	semidirect
101. #17988880	C₂²	semidirect
102. #17988877	C₂²	semidirect
103. #17988876	C₂²	semidirect
104. #17988871	C₂²	semidirect
105. #17988865	C₂²	semidirect
106. #17988838	C₂²	semidirect
107. #17988833	C₂²	semidirect
108. #17988831	C₂²	semidirect
109. #17988823	C₂²	semidirect
110. #17988821	C₂²	semidirect
111. #17988820	C₂²	semidirect
112. #17988820	C₂²	semidirect
113. #17988818	C₂²	semidirect
114. #17988815	C₂²	semidirect
115. #17988815	C₂²	semidirect
116. #17988805	C₂²	semidirect
117. #17988804	C₂²	semidirect
118. #17988804	C₂²	semidirect
119. #17988804	C₂²	semidirect
120. #17988803	C₂²	semidirect
121. #17988802	C₂²	semidirect
122. #17988801	C₂²	semidirect
123. #17988801	C₂²	semidirect
126. #17988800	C₂²	semidirect
127. #17988800	C₂²	semidirect
128. #17988800	C₂²	semidirect
129. #17988800	C₂²	semidirect
130. #17988800	C₂²	semidirect
131. #17988800	C₂²	semidirect
132. #17988800	C₂²	semidirect
133. #17988800	C₂²	semidirect
134. #17988799	C₂²	semidirect
135. #17988790	C₂²	semidirect
136. #17988790	C₂²	semidirect
137. #17988786	C₂²	semidirect
138. #17988785	C₂²	semidirect
139. #17988784	C₂²	semidirect
140. #17988781	C₂²	semidirect
142. #17988780	C₂²	semidirect
143. #17988780	C₂²	semidirect
144. #17988739	C₂²	semidirect
145. #17988738	C₂²	semidirect
146. #17988734	C₂²	semidirect
147. #17988732	C₂²	semidirect
148. #17988730	C₂²	semidirect
149. #17988728	C₂²	semidirect
150. #17988725	C₂²	semidirect
151. #17988724	C₂²	semidirect
152. #17988724	C₂²	semidirect
154. #17988721	C₂²	semidirect
156. #17988719	C₂²	semidirect
157. #17988719	C₂²	semidirect
158. #17988716	C₂²	semidirect
159. #17988715	C₂²	semidirect
160. #17988697	C₂²	semidirect
161. #17988696	C₂²	semidirect
162. #17988696	C₂²	semidirect
163. #17988689	C₂²	semidirect
164. #17988688	C₂²	semidirect
165. #17988688	C₂²	semidirect
166. #17988687	C₂²	semidirect
167. #17988678	C₂²	semidirect
168. #17988678	C₂²	semidirect
170. D₈×Dic₇₃	C₂²	semidirect
171. #17988661	C₂²	semidirect
172. #17988659	C₂²	semidirect
173. #17988656	C₂²	semidirect
174. C₈×C₂²⋊D₇₃	C₂²	semidirect
175. #17988650	C₂²	semidirect
176. #17988642	C₂²	semidirect
177. #17988641	C₂²	semidirect
178. #17988637	C₂²	semidirect
179. #17988610	C₂²	semidirect
180. C₂×#14556520	C₂²	semidirect
181. C₄⋊C₈×D₇₃	C₂²	semidirect
182. #17988589	C₂²	semidirect
183. #17988588	C₂²	semidirect
184. C₂×#14556516	C₂²	semidirect
185. #103×D₇₃	C₂²	semidirect
186. C₂×#14556512	C₂²	semidirect
187. #102×D₇₃	C₂²	semidirect
188. C₂×AGL(1,ℤ/8)×C₇₃	C₂²	semidirect
190. #546×C₇₃	C₂²	semidirect
191. D₄²×C₇₃	C₂²	semidirect
192. #496×C₇₃	C₂²	semidirect
193. #469×C₇₃	C₂²	semidirect
194. #465×C₇₃	C₂²	semidirect
196. #459×C₇₃	C₂²	semidirect
197. #450×C₇₃	C₂²	semidirect
198. #449×C₇₃	C₂²	semidirect
200. #447×C₇₃	C₂²	semidirect
201. #442×C₇₃	C₂²	semidirect
202. #435×C₇₃	C₂²	semidirect
798. C₂²⋊D₇₃	AGL(1,ℤ/8)	semidirect
948. #3264	D₇₃	semidirect
962. C₇₃	#61989	semidirect
965. C₂×AGL(1,ℤ/8)	C₂×D₇₃	semidirect
989. #546	C₂×D₇₃	semidirect
993. D₄²	C₂×D₇₃	semidirect
1017. #496	C₂×D₇₃	semidirect
1043. #469	C₂×D₇₃	semidirect
1053. #465	C₂×D₇₃	semidirect
1083. #459	C₂×D₇₃	semidirect
1086. #450	C₂×D₇₃	semidirect
1090. #449	C₂×D₇₃	semidirect
1101. #447	C₂×D₇₃	semidirect
1107. #442	C₂×D₇₃	semidirect
1119. #435	C₂×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#22623889	2
D₄×#11924027	2
#22622976	2
#22622948	2
#22622724	2
#22622644	2
#22621924	2
#22621915	2
#22621892	2
#22621887	2
#22621791	2
#22621737	2
#22621625	2
D₈×C₂²⋊D₇₃	2
#22621422	2
#22621420	2
#22621409	2
#22621286	2
#22621253	2
#22621252	2
#22620915	2
#22620913	2
#22620862	2
#22620070	2
#22620067	2
#22619973	2
#22619392	2
C₂×#17988800	2
#463×D₇₃	2
#22619051	2
C₇₃×#3264	2
#61989	73