Subgroups — #33962269

Order 18688.

2592 conjugacy classes of subgroups.

The subgroup lattice has 1620 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22624716	C₂	1	2	yes	maximal, complemented
2	#22624701	C₂	1	1	yes	maximal, characteristic, complemented
3	#578×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
4	#22621735	C₂	1	1	yes	maximal, characteristic, complemented
5	#22621734	C₂	1	1	yes	maximal, characteristic, complemented
6	#22621733	C₂	1	1	yes	maximal, characteristic, complemented
7	#22621720	C₂	1	1	yes	maximal, characteristic, complemented
8	#22621719	C₂	1	1	yes	maximal, characteristic, complemented
9	#22621718	C₂	1	1	yes	maximal, characteristic, complemented
10	#22621717	C₂	1	1	yes	maximal, characteristic, complemented
11	#22621705	C₂	1	2	yes	maximal, complemented
12	#22621702	C₂	1	2	yes	maximal, complemented
13	#22621701	C₂	1	2	yes	maximal, complemented
14	#22621701	C₂	1	2	yes	maximal, complemented
15	#22620419	C₂	1	1	yes	maximal, characteristic, complemented
16	#22619666	C₂	1	2	yes	maximal, complemented
17	#22619653	C₂	1	1	yes	maximal, characteristic, complemented
18	#473×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
19	#22619308	C₂	1	2	yes	maximal, complemented
20	#22619296	C₂	1	2	yes	maximal, complemented
21	#22618843	C₂	1	1	yes	maximal, characteristic, complemented
22	#22618829	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇₃×#3293	C₂	1	1	yes	maximal, characteristic, complemented
24	#17989424	C₂²	1	2	yes	—
25	2₋¹⁺⁴×D₇₃	C₂²	1	2	yes	complemented
26	#17989404	C₂²	1	1	yes	characteristic, complemented
27	#17989403	—	2	2	no	—
28	#17989403	—	2	2	no	—
29	#17989403	C₂²	1	2	yes	complemented
30	#17989403	C₂²	1	2	yes	complemented
31	#17989402	C₂²	1	2	yes	complemented
32	#17989402	C₂²	1	2	yes	complemented
33	#17989401	—	2	1	no	—
34	#17989401	C₂²	1	1	yes	characteristic, complemented
35	#17989400	—	2	2	no	—
36	#17989400	—	2	1	no	—
37	#17989400	—	2	1	no	—
38	#17989400	C₂²	1	2	yes	complemented
39	#17989400	C₂²	1	1	yes	characteristic, complemented
40	#17989400	C₂²	1	1	yes	characteristic, complemented
41	#17989399	C₂²	1	2	yes	complemented
42	#17989396	—	2	2	no	—
43	#17989396	—	2	2	no	—
44	#17989396	C₂²	1	2	yes	complemented
45	#17989396	C₂²	1	2	yes	complemented
46	#17989395	C₂²	1	2	yes	complemented
47	#17989395	C₂²	1	2	yes	complemented
48	#17989394	—	2	2	no	—
49	#17989394	C₂²	1	2	yes	complemented
50	#17989392	C₂²	1	1	yes	characteristic, complemented
51	#17989389	—	2	1	no	—
52	#17989389	C₂²	1	1	yes	characteristic, complemented
53	#17989386	—	2	2	no	—
54	#17989386	—	2	2	no	—
55	#17989386	C₂²	1	2	yes	—
56	#17989386	C₂²	1	2	yes	complemented
57	#17989384	—	2	2	no	—
58	#17989384	C₂²	1	1	yes	characteristic
59	C₂×#14556623	—	2	2	no	—
60	C₂×#14556623	C₂²	1	2	yes	complemented
61	#137×D₇₃	—	2	2	no	—
62	#137×D₇₃	—	2	2	no	—
63	#137×D₇₃	C₂²	1	2	yes	—
64	#137×D₇₃	C₂²	1	2	yes	complemented
65	C₂×#14556614	—	2	1	no	—
66	C₂×#14556614	C₂²	1	1	yes	characteristic
67	#135×D₇₃	—	2	1	no	—
68	#135×D₇₃	—	2	1	no	—
69	#135×D₇₃	C₂²	1	1	yes	characteristic
70	C₂×Q₁₆×D₇₃	—	2	1	no	—
71	C₂×Q₁₆×D₇₃	C₂²	1	1	yes	characteristic, complemented
72	#17989352	C₂²	1	2	yes	complemented
73	#131×D₇₃	C₂²	1	1	yes	characteristic
74	#131×D₇₃	C₂²	1	1	yes	characteristic, complemented
75	#17989162	C₂²	1	2	yes	complemented
76	#17988980	C₂²	1	2	yes	complemented
77	#17988979	C₂²	1	2	yes	complemented
78	#17988972	C₂²	1	1	yes	characteristic, complemented
79	#17988971	C₂²	1	1	yes	characteristic, complemented
80	#17988965	C₂²	1	1	yes	characteristic, complemented
81	#17988863	C₂²	1	1	yes	characteristic, complemented
82	#17988862	C₂²	1	1	yes	characteristic, complemented
83	#17988861	C₂²	1	2	yes	complemented
84	#17988861	C₂²	1	2	yes	complemented
85	#17988860	C₂²	1	2	yes	complemented
86	#17988860	C₂²	1	2	yes	complemented
87	#17988859	C₂²	1	1	yes	characteristic, complemented
88	#17988859	C₂²	1	2	yes	complemented
89	#17988859	C₂²	1	1	yes	characteristic, complemented
90	#17988858	C₂²	1	1	yes	characteristic, complemented
91	#17988857	C₂²	1	1	yes	characteristic, complemented
92	#17988853	C₂²	1	2	yes	complemented
93	#17988853	C₂²	1	2	yes	complemented
94	#17988852	C₂²	1	2	yes	complemented
95	#17988852	C₂²	1	2	yes	complemented
96	#17988851	C₂²	1	2	yes	complemented
97	#17988850	C₂²	1	2	yes	complemented
98	#17988772	C₂²	1	2	yes	complemented
99	#17988770	C₂²	1	2	yes	complemented
100	#17988769	C₂²	1	2	yes	complemented
101	#17988769	C₂²	1	2	yes	complemented
102	#17988768	C₂²	1	2	yes	complemented
103	#17988768	C₂²	1	2	yes	complemented
104	#17988766	C₂²	1	2	yes	complemented
105	#17988766	C₂²	1	2	yes	complemented
106	#17988763	C₂²	1	2	yes	complemented
107	#17988763	C₂²	1	2	yes	complemented
108	#17988762	C₂²	1	2	yes	complemented
109	#17988761	C₂²	1	2	yes	complemented
110	#17988761	C₂²	1	2	yes	complemented
111	#17988760	C₂²	1	2	yes	complemented
112	#17988709	C₂²	1	1	yes	characteristic, complemented
113	#17988708	C₂²	1	1	yes	characteristic, complemented
114	#17988707	C₂²	1	2	yes	complemented
115	#17988706	C₂²	1	1	yes	characteristic, complemented
116	#17988706	C₂²	1	1	yes	characteristic, complemented
117	#17988706	C₂²	1	2	yes	complemented
118	#17988705	C₂²	1	1	yes	characteristic, complemented
119	#17988705	C₂²	1	1	yes	characteristic, complemented
120	#17988704	C₂²	1	1	yes	characteristic, complemented
121	#17988703	C₂²	1	1	yes	characteristic, complemented
122	#17988702	C₂²	1	1	yes	characteristic, complemented
123	#17988702	C₂²	1	1	yes	characteristic, complemented
124	#17988634	C₂²	1	1	yes	characteristic, complemented
125	#108×D₇₃	C₂²	1	1	yes	characteristic, complemented
126	#17988602	C₂²	1	1	yes	characteristic
127	#17988602	C₂²	1	1	yes	characteristic, complemented
128	#17988602	C₂²	1	2	yes	complemented
129	#17988570	C₂²	1	2	yes	complemented
130	#101×D₇₃	C₂²	1	2	yes	complemented
131	#17988541	C₂²	1	1	yes	characteristic, complemented
132	#578×C₇₃	C₂²	1	2	yes	complemented
133	#578×C₇₃	C₂²	1	1	yes	characteristic, complemented
134	#578×C₇₃	C₂²	1	1	yes	characteristic, complemented
135	#494×C₇₃	C₂²	1	1	yes	characteristic, complemented
136	#473×C₇₃	C₂²	1	1	yes	characteristic, complemented
137	#473×C₇₃	C₂²	1	2	yes	complemented
138	#473×C₇₃	C₂²	1	1	yes	characteristic, complemented
139	#456×C₇₃	C₂²	1	2	yes	complemented
140	#456×C₇₃	C₂²	1	2	yes	complemented
141	#443×C₇₃	C₂²	1	1	yes	characteristic, complemented
142	#443×C₇₃	C₂²	1	1	yes	characteristic, complemented
143	#14556639	—	2	2	no	—
144	#14556639	—	2	2	no	—
145	#14556639	—	2	2	no	—
146	#14556639	—	2	2	no	—
147	#14556639	C₂³	1	2	yes	—
148	#14556639	C₂³	1	2	yes	—
149	#14556638	—	2	2	no	—
150	#14556638	—	2	2	no	—
151	#14556638	—	4	2	no	—
152	#14556638	C₂³	1	2	yes	—
153	#14556638	C₂³	1	2	yes	—
154	#14556637	—	2	2	no	—
155	#14556637	—	2	2	no	—
156	#14556637	—	4	2	no	—
157	#14556637	C₂³	1	2	yes	—
158	#14556637	C₂³	1	2	yes	—
159	C₂×#11924029	—	2	2	no	—
160	C₂×#11924029	—	2	2	no	—
161	C₂×#11924029	C₂³	1	2	yes	—
162	#41×D₇₃	—	2	2	no	—
163	#41×D₇₃	—	2	2	no	—
164	#41×D₇₃	—	2	2	no	—
165	#41×D₇₃	—	2	2	no	—
166	#41×D₇₃	—	4	2	no	—
167	#41×D₇₃	—	4	2	no	—
168	#41×D₇₃	C₂³	1	1	yes	characteristic
169	#41×D₇₃	C₂³	1	2	yes	—
170	#41×D₇₃	C₂³	1	1	yes	characteristic
171	C₂×Q₈×D₇₃	—	2	2	no	—
172	C₂×Q₈×D₇₃	—	2	2	no	—
173	C₂×Q₈×D₇₃	C₂³	1	2	yes	—
174	#14556624	—	2	2	no	—
175	#14556624	—	2	2	no	—
176	#14556624	C₂³	1	2	yes	—
177	#14556624	C₂³	1	2	yes	—
178	#14556623	—	2	2	no	—
179	#14556623	—	2	2	no	—
180	#14556623	—	2	2	no	—
181	#14556623	—	2	2	no	—
182	#14556623	—	2	2	no	—
183	#14556623	—	2	2	no	—
184	#14556623	—	2	2	no	—
185	#14556623	—	2	2	no	—
186	#14556623	—	2	2	no	—
187	#14556623	—	2	2	no	—
188	#14556623	—	2	2	no	—
189	#14556623	—	2	2	no	—
190	#14556623	—	2	2	no	—
191	#14556623	—	2	2	no	—
192	#14556623	—	2	2	no	—
193	#14556623	—	2	2	no	—
194	#14556623	—	2	2	no	—
195	#14556623	D₄	1	1	yes	characteristic
196	#14556623	D₄	1	1	yes	characteristic
197	#14556622	—	2	2	no	—
198	#14556622	—	2	2	no	—
199	#14556622	—	2	2	no	—
200	#14556622	—	2	2	no	—
201	#14556622	C₂³	1	2	yes	—
202	#14556622	C₂³	1	2	yes	—
203	#14556622	C₂³	1	2	yes	—
204	#14556622	C₂³	1	2	yes	—
205	#14556621	—	2	2	no	—
206	#14556621	—	2	2	no	—
207	#14556621	C₂³	1	2	yes	—
208	#14556621	C₂³	1	2	yes	—
209	#14556620	—	2	2	no	—
210	#14556620	—	2	2	no	—
211	#14556620	—	2	2	no	—
212	#14556620	—	2	2	no	—
213	#14556620	—	2	2	no	—
214	#14556620	D₄	1	1	yes	characteristic
215	#14556620	D₄	1	1	yes	characteristic
216	#14556619	—	2	2	no	—
217	#14556619	—	2	2	no	—
218	#14556619	C₂³	1	2	yes	—
219	#14556619	C₂³	1	2	yes	—
220	#14556618	—	2	2	no	—
221	#14556618	—	2	2	no	—
222	#14556618	—	2	2	no	—
223	#14556618	—	2	2	no	—
224	#14556618	—	2	2	no	—
225	#14556618	D₄	1	1	yes	characteristic
226	#14556618	D₄	1	1	yes	characteristic
227	#14556616	—	2	2	no	—
228	#14556616	—	2	2	no	—
229	#14556616	C₂³	1	2	yes	—
230	#14556616	C₂³	1	2	yes	—
231	#14556615	—	2	2	no	—
232	#14556615	D₄	1	1	yes	characteristic
233	#14556615	D₄	1	1	yes	characteristic
234	#14556614	—	2	2	no	—
235	#14556614	—	2	2	no	—
236	#14556614	—	2	2	no	—
237	#14556614	—	2	2	no	—
238	#14556614	—	2	2	no	—
239	#14556614	—	2	1	no	—
240	#14556614	—	2	1	no	—
241	#14556614	—	2	1	no	—
242	#14556614	—	2	1	no	—
243	#14556614	—	2	1	no	—
244	#14556614	—	2	1	no	—
245	#14556614	—	2	1	no	—
246	#14556614	D₄	1	1	yes	characteristic
247	#14556613	—	2	1	no	—
248	#14556613	—	2	2	no	—
249	#14556613	—	2	1	no	—
250	#14556613	C₂³	1	1	yes	characteristic
251	#14556613	C₂³	1	1	yes	characteristic
252	#14556612	—	2	2	no	—
253	#14556612	—	2	2	no	—
254	#14556612	—	2	2	no	—
255	#14556612	—	2	2	no	—
256	#14556612	—	2	2	no	—
257	#14556612	D₄	1	2	yes	—
258	#14556611	—	2	2	no	—
259	#14556611	—	2	2	no	—
260	#14556611	—	2	2	no	—
261	#14556611	—	2	2	no	—
262	#14556611	C₂³	1	1	yes	characteristic
263	#14556611	C₂³	1	1	yes	characteristic
264	#14556611	C₂³	1	2	yes	—
265	#14556610	—	2	1	no	—
266	#14556610	D₄	1	1	yes	characteristic
267	C₂×Dic₂₉₂	—	2	1	no	—
268	C₂×Dic₂₉₂	C₂³	1	1	yes	characteristic
269	C₂×#11924018	—	2	2	no	—
270	C₂×#11924018	—	2	2	no	—
271	C₂×#11924018	C₂³	1	2	yes	—
272	C₂×#11924018	C₂³	1	2	yes	—
273	Q₁₆×D₇₃	—	2	2	no	—
274	Q₁₆×D₇₃	—	2	2	no	—
275	Q₁₆×D₇₃	—	2	2	no	—
276	Q₁₆×D₇₃	—	2	1	no	—
277	Q₁₆×D₇₃	—	2	1	no	—
278	Q₁₆×D₇₃	—	2	2	no	—
279	Q₁₆×D₇₃	—	2	2	no	—
280	Q₁₆×D₇₃	—	2	1	no	—
281	Q₁₆×D₇₃	—	2	1	no	—
282	Q₁₆×D₇₃	—	2	1	no	—
283	Q₁₆×D₇₃	—	2	1	no	—
284	Q₁₆×D₇₃	—	2	1	no	—
285	Q₁₆×D₇₃	D₄	1	1	yes	characteristic
286	C₂×#11924017	—	2	2	no	—
287	C₂×#11924017	C₂³	1	2	yes	—
288	C₂×#11924015	—	2	2	no	—
289	C₂×#11924015	—	2	2	no	—
290	C₂×#11924015	C₂³	1	2	yes	—
291	C₂×#11924015	C₂³	1	2	yes	—
292	SD₁₆×D₇₃	—	2	2	no	—
293	SD₁₆×D₇₃	—	2	2	no	—
294	SD₁₆×D₇₃	—	2	2	no	—
295	SD₁₆×D₇₃	—	2	2	no	—
296	SD₁₆×D₇₃	—	2	2	no	—
297	SD₁₆×D₇₃	D₄	1	2	yes	—
298	C₂×D₅₈₄	—	2	1	no	—
299	C₂×D₅₈₄	C₂³	1	1	yes	characteristic
300	D₈×D₇₃	—	2	1	no	—
301	D₈×D₇₃	D₄	1	1	yes	characteristic
302	#14556599	—	2	2	no	—
303	#14556599	—	2	1	no	—
304	#14556599	—	2	1	no	—
305	#14556599	C₂³	1	1	yes	characteristic
306	#14556599	C₂³	1	2	yes	—
307	#14556599	C₂³	1	1	yes	characteristic
308	#14556598	C₂³	1	1	yes	characteristic
309	#14556598	C₂³	1	2	yes	—
310	#14556598	C₂³	1	1	yes	characteristic
311	#14556597	—	2	2	no	—
312	#14556597	—	2	1	no	—
313	#14556597	—	2	1	no	—
314	#14556597	C₂³	1	1	yes	characteristic
315	#14556597	C₂³	1	2	yes	—
316	#14556597	C₂³	1	1	yes	characteristic
317	C₂×#11924011	—	2	2	no	—
318	C₂×#11924011	C₂³	1	1	yes	characteristic
319	M₁₆×D₇₃	—	2	2	no	—
320	M₁₆×D₇₃	—	2	1	no	—
321	M₁₆×D₇₃	—	2	1	no	—
322	M₁₆×D₇₃	C₂³	1	2	yes	—
323	M₁₆×D₇₃	C₂³	1	1	yes	characteristic
324	M₁₆×D₇₃	C₂³	1	1	yes	characteristic
325	C₂×C₈×D₇₃	—	2	1	no	—
326	C₂×C₈×D₇₃	—	2	1	no	—
327	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
328	#14556589	C₂³	1	2	yes	—
329	#14556580	C₂³	1	2	yes	—
330	#14556579	C₂³	1	2	yes	—
331	#14556576	—	4	2	no	—
332	#14556569	—	4	2	no	—
333	#14556548	C₂³	1	1	yes	characteristic
334	#14556527	C₂³	1	1	yes	characteristic
335	#14556527	C₂³	1	1	yes	characteristic
336	#14556526	C₂³	1	2	yes	—
337	#14556526	C₂³	1	1	yes	characteristic
338	#14556526	C₂³	1	1	yes	characteristic
339	#14556519	C₂³	1	1	yes	characteristic
340	#14556519	C₂³	1	2	yes	—
341	#14556519	C₂³	1	1	yes	characteristic
342	#14556518	C₂³	1	1	yes	characteristic
343	#14556518	C₂³	1	1	yes	characteristic
344	#14556518	C₂³	1	2	yes	—
345	#14556517	C₂³	1	1	yes	characteristic
346	#14556517	C₂³	1	1	yes	characteristic
347	#14556517	C₂³	1	2	yes	—
348	#14556510	C₂³	1	2	yes	—
349	#14556510	C₂³	1	2	yes	—
350	#14556509	C₂³	1	2	yes	—
351	#14556509	C₂³	1	2	yes	—
352	#14556507	C₂³	1	2	yes	—
353	#14556507	C₂³	1	2	yes	—
354	#14556502	C₂³	1	1	yes	characteristic
355	#14556501	C₂³	1	1	yes	characteristic
356	C₈×Dic₇₃	C₂³	1	1	yes	characteristic
357	2₋¹⁺⁴×C₇₃	C₂³	1	2	yes	—
358	2₋¹⁺⁴×C₇₃	C₂³	1	2	yes	—
359	#137×C₇₃	—	2	2	no	—
360	#137×C₇₃	—	2	2	no	—
361	#137×C₇₃	—	2	2	no	—
362	#137×C₇₃	—	2	2	no	—
363	#137×C₇₃	C₂³	1	2	yes	—
364	#137×C₇₃	C₂³	1	2	yes	—
365	#137×C₇₃	C₂³	1	2	yes	—
366	#137×C₇₃	C₂³	1	2	yes	—
367	#135×C₇₃	—	2	2	no	—
368	#135×C₇₃	—	2	1	no	—
369	#135×C₇₃	—	2	1	no	—
370	#135×C₇₃	C₂³	1	1	yes	characteristic
371	#135×C₇₃	C₂³	1	1	yes	characteristic
372	C₂×Q₁₆×C₇₃	—	2	2	no	—
373	C₂×Q₁₆×C₇₃	—	2	1	no	—
374	C₂×Q₁₆×C₇₃	—	2	1	no	—
375	C₂×Q₁₆×C₇₃	C₂³	1	2	yes	—
376	C₂×Q₁₆×C₇₃	C₂³	1	1	yes	characteristic
377	C₂×Q₁₆×C₇₃	C₂³	1	1	yes	characteristic
378	#131×C₇₃	C₂³	1	1	yes	characteristic
379	#131×C₇₃	C₂³	1	2	yes	—
380	#131×C₇₃	C₂³	1	1	yes	characteristic
381	C₄⋊Q₈×C₇₃	C₂³	1	2	yes	—
382	#108×C₇₃	C₂³	1	1	yes	characteristic
383	#108×C₇₃	C₂³	1	1	yes	characteristic
384	#104×C₇₃	C₂³	1	1	yes	characteristic
385	#104×C₇₃	C₂³	1	2	yes	—
386	#104×C₇₃	C₂³	1	1	yes	characteristic
387	#101×C₇₃	C₂³	1	2	yes	—
388	#101×C₇₃	C₂³	1	2	yes	—
389	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
390	#11924029	—	2	2	no	—
391	#11924029	—	2	2	no	—
392	#11924029	—	2	2	no	—
393	#11924029	—	2	2	no	—
394	#11924029	—	2	2	no	—
395	#11924029	—	2	2	no	—
396	#11924029	—	2	2	no	—
397	#11924029	—	2	2	no	—
398	#11924029	—	2	2	no	—
399	#11924029	—	2	2	no	—
400	#11924029	—	4	2	no	—
401	#11924029	—	4	2	no	—
402	#11924029	—	4	2	no	—
403	#11924029	—	4	2	no	—
404	#11924029	C₂×D₄	1	2	yes	—
405	#11924029	C₂×D₄	1	1	yes	characteristic
406	#11924029	C₂×D₄	1	1	yes	characteristic
407	#11924028	—	2	1	no	—
408	#11924028	—	2	2	no	—
409	#11924028	—	2	1	no	—
410	#11924028	—	2	2	no	—
411	#11924028	—	2	2	no	—
412	#11924028	—	2	2	no	—
413	#11924028	—	2	2	no	—
414	#11924028	—	4	2	no	—
415	#11924028	—	4	2	no	—
416	#11924028	—	4	2	no	—
417	#11924028	—	4	2	no	—
418	#11924028	—	4	2	no	—
419	#11924028	—	4	2	no	—
420	#11924028	—	4	2	no	—
421	#11924028	—	4	2	no	—
422	#11924028	—	4	2	no	—
423	#11924028	—	4	2	no	—
424	#11924028	C₂⁴	1	1	yes	characteristic
425	#11924028	C₂⁴	1	2	yes	—
426	#11924028	C₂⁴	1	1	yes	characteristic
427	#11924027	—	2	1	no	—
428	#11924027	—	2	2	no	—
429	#11924027	—	2	1	no	—
430	#11924027	—	2	2	no	—
431	#11924027	—	2	2	no	—
432	#11924027	—	4	2	no	—
433	#11924027	—	4	2	no	—
434	#11924027	—	4	2	no	—
435	#11924027	—	4	2	no	—
436	#11924027	—	4	2	no	—
437	#11924027	—	4	2	no	—
438	#11924027	C₂×D₄	1	2	yes	—
439	#11924027	C₂×D₄	1	1	yes	characteristic
440	#11924027	C₂×D₄	1	1	yes	characteristic
441	C₂×Dic₁₄₆	—	2	2	no	—
442	C₂×Dic₁₄₆	—	2	2	no	—
443	C₂×Dic₁₄₆	—	2	2	no	—
444	C₂×Dic₁₄₆	—	4	2	no	—
445	C₂×Dic₁₄₆	—	4	2	no	—
446	C₂×Dic₁₄₆	C₂⁴	1	2	yes	—
447	Q₈×D₇₃	—	2	2	no	—
448	Q₈×D₇₃	—	2	2	no	—
449	Q₈×D₇₃	—	2	2	no	—
450	Q₈×D₇₃	—	2	2	no	—
451	Q₈×D₇₃	—	2	2	no	—
452	Q₈×D₇₃	—	2	2	no	—
453	Q₈×D₇₃	—	2	2	no	—
454	Q₈×D₇₃	—	2	2	no	—
455	Q₈×D₇₃	—	2	2	no	—
456	Q₈×D₇₃	—	2	2	no	—
457	Q₈×D₇₃	—	4	2	no	—
458	Q₈×D₇₃	—	4	2	no	—
459	Q₈×D₇₃	—	4	2	no	—
460	Q₈×D₇₃	—	4	2	no	—
461	Q₈×D₇₃	C₂×D₄	1	2	yes	—
462	Q₈×D₇₃	C₂×D₄	1	1	yes	characteristic
463	Q₈×D₇₃	C₂×D₄	1	1	yes	characteristic
464	C₂×D₂₉₂	—	2	2	no	—
465	C₂×D₂₉₂	—	2	2	no	—
466	C₂×D₂₉₂	—	2	2	no	—
467	C₂×D₂₉₂	—	4	2	no	—
468	C₂×D₂₉₂	—	4	2	no	—
469	C₂×D₂₉₂	C₂⁴	1	2	yes	—
470	D₄×D₇₃	—	2	1	no	—
471	D₄×D₇₃	—	2	2	no	—
472	D₄×D₇₃	—	2	1	no	—
473	D₄×D₇₃	—	2	2	no	—
474	D₄×D₇₃	—	2	2	no	—
475	D₄×D₇₃	—	4	2	no	—
476	D₄×D₇₃	—	4	2	no	—
477	D₄×D₇₃	—	4	2	no	—
478	D₄×D₇₃	—	4	2	no	—
479	D₄×D₇₃	—	4	2	no	—
480	D₄×D₇₃	—	4	2	no	—
481	D₄×D₇₃	C₂×D₄	1	2	yes	—
482	D₄×D₇₃	C₂×D₄	1	1	yes	characteristic
483	D₄×D₇₃	C₂×D₄	1	1	yes	characteristic
484	C₂×C₄×D₇₃	—	2	1	no	—
485	C₂×C₄×D₇₃	—	2	1	no	—
486	C₂×C₄×D₇₃	—	2	2	no	—
487	C₂×C₄×D₇₃	—	2	2	no	—
488	C₂×C₄×D₇₃	—	2	2	no	—
489	C₂×C₄×D₇₃	—	4	2	no	—
490	C₂×C₄×D₇₃	—	4	2	no	—
491	C₂×C₄×D₇₃	—	4	2	no	—
492	C₂×C₄×D₇₃	—	4	2	no	—
493	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
494	Dic₂₉₂	—	2	2	no	—
495	Dic₂₉₂	—	2	2	no	—
496	Dic₂₉₂	—	2	1	no	—
497	Dic₂₉₂	—	2	1	no	—
498	Dic₂₉₂	C₂×D₄	1	1	yes	characteristic
499	Dic₂₉₂	C₂×D₄	1	1	yes	characteristic
500	#11924018	—	2	2	no	—
501	#11924018	—	2	2	no	—
502	#11924018	—	2	2	no	—
503	#11924018	—	2	2	no	—
504	#11924018	—	2	2	no	—
505	#11924018	—	2	2	no	—
506	#11924018	—	2	2	no	—
507	#11924018	—	2	2	no	—
508	#11924018	—	2	2	no	—
509	#11924018	—	2	2	no	—
510	#11924018	C₂×D₄	1	1	yes	characteristic
511	#11924018	C₂×D₄	1	2	yes	—
512	#11924018	C₂×D₄	1	1	yes	characteristic
513	#11924017	—	2	2	no	—
514	#11924017	—	2	2	no	—
515	#11924017	—	2	2	no	—
516	#11924017	—	2	2	no	—
517	#11924017	—	2	2	no	—
518	#11924017	—	2	2	no	—
519	#11924017	C₂×D₄	1	2	yes	—
520	#11924017	C₂×D₄	1	1	yes	characteristic
521	#11924017	C₂×D₄	1	1	yes	characteristic
522	#11924016	—	2	2	no	—
523	#11924016	—	2	2	no	—
524	#11924016	C₂×D₄	1	1	yes	characteristic
525	#11924016	C₂×D₄	1	2	yes	—
526	#11924016	C₂×D₄	1	1	yes	characteristic
527	#11924015	—	2	2	no	—
528	#11924015	—	2	2	no	—
529	#11924015	—	2	2	no	—
530	#11924015	—	2	2	no	—
531	#11924015	—	2	2	no	—
532	#11924015	—	2	2	no	—
533	#11924015	—	2	2	no	—
534	#11924015	—	2	2	no	—
535	#11924015	—	2	2	no	—
536	#11924015	—	2	2	no	—
537	#11924015	C₂×D₄	1	2	yes	—
538	#11924015	C₂×D₄	1	1	yes	characteristic
539	#11924015	C₂×D₄	1	1	yes	characteristic
540	D₅₈₄	—	2	2	no	—
541	D₅₈₄	—	2	2	no	—
542	D₅₈₄	—	2	1	no	—
543	D₅₈₄	—	2	1	no	—
544	D₅₈₄	C₂×D₄	1	1	yes	characteristic
545	D₅₈₄	C₂×D₄	1	1	yes	characteristic
546	#11924013	—	2	2	no	—
547	#11924013	—	2	2	no	—
548	#11924013	C₂×D₄	1	2	yes	—
549	#11924013	C₂×D₄	1	1	yes	characteristic
550	#11924013	C₂×D₄	1	1	yes	characteristic
551	#11924012	—	2	1	no	—
552	#11924012	—	2	2	no	—
553	#11924012	—	2	1	no	—
554	#11924012	C₂⁴	1	1	yes	characteristic
555	#11924012	C₂⁴	1	2	yes	—
556	#11924012	C₂⁴	1	1	yes	characteristic
557	#11924011	—	2	2	no	—
558	#11924011	—	2	1	no	—
559	#11924011	—	2	1	no	—
560	#11924011	—	2	1	no	—
561	#11924011	—	2	1	no	—
562	#11924011	—	2	2	no	—
563	#11924011	—	2	1	no	—
564	#11924011	—	2	1	no	—
565	#11924011	—	2	2	no	—
566	#11924011	C₂×D₄	1	1	yes	characteristic
567	#11924011	C₂×D₄	1	1	yes	characteristic
568	#11924011	C₂×D₄	1	1	yes	characteristic
569	#11924011	C₂×D₄	1	1	yes	characteristic
570	C₂×#10596831	—	2	1	no	—
571	C₂×#10596831	—	2	1	no	—
572	C₂×#10596831	—	2	2	no	—
573	C₂×#10596831	C₂⁴	1	1	yes	characteristic
574	C₂×#10596831	C₂⁴	1	1	yes	characteristic
575	C₈×D₇₃	—	2	1	no	—
576	C₈×D₇₃	—	2	1	no	—
577	C₈×D₇₃	—	2	2	no	—
578	C₈×D₇₃	—	2	1	no	—
579	C₈×D₇₃	—	2	1	no	—
580	C₈×D₇₃	—	2	2	no	—
581	C₈×D₇₃	—	2	1	no	—
582	C₈×D₇₃	—	2	1	no	—
583	C₈×D₇₃	—	2	2	no	—
584	C₈×D₇₃	C₂×D₄	1	1	yes	characteristic
585	C₈×D₇₃	C₂×D₄	1	1	yes	characteristic
586	C₈×D₇₃	C₂×D₄	1	1	yes	characteristic
587	C₈×D₇₃	C₂×D₄	1	1	yes	characteristic
588	#11924007	—	2	1	no	—
589	#11924007	—	4	2	no	—
590	#11924005	—	2	1	no	—
591	#11924005	—	4	2	no	—
592	#11924005	—	4	2	no	—
593	C₄×Dic₇₃	C₂⁴	1	1	yes	characteristic
594	#41×C₇₃	—	2	2	no	—
595	#41×C₇₃	—	2	2	no	—
596	#41×C₇₃	—	2	2	no	—
597	#41×C₇₃	—	2	2	no	—
598	#41×C₇₃	—	4	2	no	—
599	#41×C₇₃	—	4	2	no	—
600	#41×C₇₃	C₂⁴	1	1	yes	characteristic
601	#41×C₇₃	C₂⁴	1	2	yes	—
602	#41×C₇₃	C₂⁴	1	1	yes	characteristic
603	C₂×Q₈×C₇₃	—	2	2	no	—
604	C₂×Q₈×C₇₃	—	2	2	no	—
605	C₂×Q₈×C₇₃	—	2	2	no	—
606	C₂×Q₈×C₇₃	—	2	2	no	—
607	C₂×Q₈×C₇₃	C₂⁴	1	2	yes	—
608	C₂×Q₈×C₇₃	C₂⁴	1	2	yes	—
609	Q₁₆×C₇₃	—	2	2	no	—
610	Q₁₆×C₇₃	—	2	2	no	—
611	Q₁₆×C₇₃	—	2	2	no	—
612	Q₁₆×C₇₃	—	2	2	no	—
613	Q₁₆×C₇₃	—	2	1	no	—
614	Q₁₆×C₇₃	—	2	1	no	—
615	Q₁₆×C₇₃	—	2	2	no	—
616	Q₁₆×C₇₃	—	2	1	no	—
617	Q₁₆×C₇₃	—	2	2	no	—
618	Q₁₆×C₇₃	—	2	1	no	—
619	Q₁₆×C₇₃	C₂×D₄	1	1	yes	characteristic
620	Q₁₆×C₇₃	C₂×D₄	1	1	yes	characteristic
621	SD₁₆×C₇₃	—	2	2	no	—
622	SD₁₆×C₇₃	—	2	2	no	—
623	SD₁₆×C₇₃	—	2	2	no	—
624	SD₁₆×C₇₃	—	2	2	no	—
625	SD₁₆×C₇₃	C₂×D₄	1	1	yes	characteristic
626	SD₁₆×C₇₃	C₂×D₄	1	2	yes	—
627	SD₁₆×C₇₃	C₂×D₄	1	1	yes	characteristic
628	D₈×C₇₃	C₂×D₄	1	1	yes	characteristic
629	D₈×C₇₃	C₂×D₄	1	1	yes	characteristic
630	M₁₆×C₇₃	—	2	1	no	—
631	M₁₆×C₇₃	—	2	2	no	—
632	M₁₆×C₇₃	—	2	1	no	—
633	M₁₆×C₇₃	C₂⁴	1	1	yes	characteristic
634	M₁₆×C₇₃	C₂⁴	1	2	yes	—
635	M₁₆×C₇₃	C₂⁴	1	1	yes	characteristic
636	C₂×C₈×C₇₃	—	2	1	no	—
637	C₂×C₈×C₇₃	—	2	1	no	—
638	C₂×C₈×C₇₃	—	2	2	no	—
639	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
640	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
641	C₄⋊C₄×C₇₃	—	4	2	no	—
642	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
643	C₂²×D₇₃	—	2	1	no	—
644	C₂²×D₇₃	—	2	2	no	—
645	C₂²×D₇₃	—	2	1	no	—
646	C₂²×D₇₃	—	2	2	no	—
647	C₂²×D₇₃	—	4	2	no	—
648	C₂²×D₇₃	—	4	2	no	—
649	C₂²×D₇₃	H(5,𝔽₂)	1	1	yes	characteristic
650	Q₈×C₇₃	—	2	2	no	—
651	Q₈×C₇₃	—	2	2	no	—
652	Q₈×C₇₃	—	2	2	no	—
653	Q₈×C₇₃	—	2	2	no	—
654	Q₈×C₇₃	—	4	2	no	—
655	Q₈×C₇₃	—	4	2	no	—
656	Q₈×C₇₃	C₂²×D₄	1	1	yes	characteristic
657	Q₈×C₇₃	C₂²×D₄	1	2	yes	—
658	Q₈×C₇₃	C₂²×D₄	1	1	yes	characteristic
659	D₄×C₇₃	—	2	1	no	—
660	D₄×C₇₃	—	2	2	no	—
661	D₄×C₇₃	—	2	1	no	—
662	D₄×C₇₃	—	4	2	no	—
663	D₄×C₇₃	—	4	2	no	—
664	D₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
665	D₄×C₇₃	C₂²×D₄	1	2	yes	—
666	D₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
667	C₂×C₄×C₇₃	—	2	1	no	—
668	C₂×C₄×C₇₃	—	2	2	no	—
669	C₂×C₄×C₇₃	—	2	1	no	—
670	C₂×C₄×C₇₃	—	2	1	no	—
671	C₂×C₄×C₇₃	—	2	2	no	—
672	C₂×C₄×C₇₃	—	2	2	no	—
673	C₂×C₄×C₇₃	—	4	2	no	—
674	C₂×C₄×C₇₃	—	4	2	no	—
675	C₂×C₄×C₇₃	—	4	2	no	—
676	C₂×C₄×C₇₃	—	4	2	no	—
677	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
678	C₂²⋊D₇₃	—	2	1	no	—
679	C₂²⋊D₇₃	—	2	2	no	—
680	C₂²⋊D₇₃	—	2	1	no	—
681	C₂²⋊D₇₃	—	2	1	no	—
682	C₂²⋊D₇₃	—	2	2	no	—
683	C₂²⋊D₇₃	—	2	1	no	—
684	C₂²⋊D₇₃	—	2	1	no	—
685	C₂²⋊D₇₃	—	2	2	no	—
686	C₂²⋊D₇₃	—	2	1	no	—
687	C₂²⋊D₇₃	—	4	2	no	—
688	C₂²⋊D₇₃	—	4	2	no	—
689	C₂²⋊D₇₃	—	4	2	no	—
690	C₂²⋊D₇₃	—	4	2	no	—
691	C₂×Dic₇₃	—	2	1	no	—
692	C₂×Dic₇₃	—	2	2	no	—
693	C₂×Dic₇₃	—	2	1	no	—
694	C₂×Dic₇₃	—	2	1	no	—
695	C₂×Dic₇₃	—	2	2	no	—
696	C₂×Dic₇₃	—	4	2	no	—
697	C₂×Dic₇₃	—	4	2	no	—
698	C₂×Dic₇₃	H(5,𝔽₂)	1	1	yes	characteristic
699	D₂₉₂	—	2	1	no	—
700	D₂₉₂	—	2	2	no	—
701	D₂₉₂	—	2	1	no	—
702	D₂₉₂	—	2	2	no	—
703	D₂₉₂	—	2	2	no	—
704	D₂₉₂	—	4	2	no	—
705	D₂₉₂	—	4	2	no	—
706	D₂₉₂	—	4	2	no	—
707	D₂₉₂	—	4	2	no	—
708	D₂₉₂	—	4	2	no	—
709	D₂₉₂	—	4	2	no	—
710	D₂₉₂	C₂²×D₄	1	1	yes	characteristic
711	D₂₉₂	C₂²×D₄	1	2	yes	—
712	D₂₉₂	C₂²×D₄	1	1	yes	characteristic
713	C₄×D₇₃	—	2	1	no	—
714	C₄×D₇₃	—	2	2	no	—
715	C₄×D₇₃	—	2	1	no	—
716	C₄×D₇₃	—	2	1	no	—
717	C₄×D₇₃	—	2	2	no	—
718	C₄×D₇₃	—	2	1	no	—
719	C₄×D₇₃	—	2	1	no	—
720	C₄×D₇₃	—	2	2	no	—
721	C₄×D₇₃	—	2	1	no	—
722	C₄×D₇₃	—	4	2	no	—
723	C₄×D₇₃	—	4	2	no	—
724	C₄×D₇₃	—	4	2	no	—
725	C₄×D₇₃	—	4	2	no	—
726	C₄×D₇₃	—	4	2	no	—
727	C₄×D₇₃	—	4	2	no	—
728	C₄×D₇₃	—	4	2	no	—
729	C₄×D₇₃	—	4	2	no	—
730	C₄×D₇₃	—	4	2	no	—
731	C₄×D₇₃	—	4	2	no	—
732	C₄×D₇₃	—	4	2	no	—
733	C₄×D₇₃	—	4	2	no	—
734	C₄×D₇₃	C₂²×D₄	1	1	yes	characteristic
735	C₄×D₇₃	C₂²×D₄	1	1	yes	characteristic
736	C₄×D₇₃	C₂²×D₄	1	1	yes	characteristic
737	C₄×D₇₃	C₂²×D₄	1	1	yes	characteristic
738	Dic₁₄₆	—	2	1	no	—
739	Dic₁₄₆	—	2	2	no	—
740	Dic₁₄₆	—	2	1	no	—
741	Dic₁₄₆	—	2	2	no	—
742	Dic₁₄₆	—	2	2	no	—
743	Dic₁₄₆	—	4	2	no	—
744	Dic₁₄₆	—	4	2	no	—
745	Dic₁₄₆	—	4	2	no	—
746	Dic₁₄₆	—	4	2	no	—
747	Dic₁₄₆	—	4	2	no	—
748	Dic₁₄₆	—	4	2	no	—
749	Dic₁₄₆	C₂²×D₄	1	1	yes	characteristic
750	Dic₁₄₆	C₂²×D₄	1	2	yes	—
751	Dic₁₄₆	C₂²×D₄	1	1	yes	characteristic
752	C₈×C₇₃	—	2	1	no	—
753	C₈×C₇₃	—	2	2	no	—
754	C₈×C₇₃	—	2	1	no	—
755	C₈×C₇₃	C₂²×D₄	1	1	yes	characteristic
756	C₈×C₇₃	C₂²×D₄	1	1	yes	characteristic
757	C₈×C₇₃	C₂²×D₄	1	1	yes	characteristic
758	C₈×C₇₃	C₂²×D₄	1	1	yes	characteristic
759	#10596831	—	2	1	no	—
760	#10596831	—	2	2	no	—
761	#10596831	—	2	1	no	—
762	#10596831	C₂²×D₄	1	1	yes	characteristic
763	#10596831	C₂²×D₄	1	1	yes	characteristic
764	#10596831	C₂²×D₄	1	1	yes	characteristic
765	#10596831	C₂²×D₄	1	1	yes	characteristic
766	C₂²×C₇₃	—	2	1	no	—
767	C₂²×C₇₃	—	2	2	no	—
768	C₂²×C₇₃	—	2	1	no	—
769	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
770	C₂×D₇₃	—	2	1	no	—
771	C₂×D₇₃	—	2	2	no	—
772	C₂×D₇₃	—	2	1	no	—
773	C₂×D₇₃	—	4	1	no	—
774	C₂×D₇₃	—	4	2	no	—
775	C₂×D₇₃	—	4	2	no	—
776	C₂×D₇₃	—	8	2	no	—
777	C₂×D₇₃	—	8	1	no	—
778	C₂×D₇₃	—	8	2	no	—
779	C₂×D₇₃	—	16	2	no	—
780	C₂×D₇₃	—	16	2	no	—
781	C₂×D₇₃	D₄²	1	1	yes	characteristic
782	C₂×D₇₃	D₄²	1	1	yes	characteristic
783	C₄×C₇₃	—	2	1	no	—
784	C₄×C₇₃	—	2	2	no	—
785	C₄×C₇₃	—	2	1	no	—
786	C₄×C₇₃	—	4	1	no	—
787	C₄×C₇₃	—	4	2	no	—
788	C₄×C₇₃	—	4	2	no	—
789	C₄×C₇₃	C₂³×D₄	1	1	yes	characteristic
790	C₄×C₇₃	C₂³×D₄	1	1	yes	characteristic
791	Dic₇₃	—	2	1	no	—
792	Dic₇₃	—	2	2	no	—
793	Dic₇₃	—	2	1	no	—
794	Dic₇₃	—	4	1	no	—
795	Dic₇₃	—	4	2	no	—
796	Dic₇₃	D₄²	1	1	yes	characteristic
797	Dic₇₃	D₄²	1	1	yes	characteristic
798	#61108	—	73	1	no	maximal, Sylow
799	C₂×C₇₃	—	2	1	no	—
800	C₂×C₇₃	—	4	1	no	—
801	C₂×C₇₃	—	4	1	no	—
802	C₂×C₇₃	—	4	2	no	—
803	C₂×C₇₃	C₂×D₄²	1	1	yes	characteristic
804	D₇₃	—	2	1	no	—
805	D₇₃	—	2	1	no	—
806	D₇₃	—	4	1	no	—
807	D₇₃	—	4	2	no	—
808	D₇₃	—	4	1	no	—
809	D₇₃	—	8	2	no	—
810	#3586	—	73	2	no	—
811	#3584	—	73	1	no	—
812	C₂×#578	—	73	1	no	—
813	#3293	—	73	1	no	—
814	#3293	—	73	1	no	—
815	#3293	—	73	1	no	—
816	#3293	D₇₃	1	1	yes	characteristic, complemented
817	#3290	—	73	1	no	—
818	#3290	—	73	1	no	—
819	#3290	—	73	1	no	—
820	#3290	—	73	1	no	—
821	#3289	—	73	2	no	—
822	#3289	—	73	2	no	—
823	#3289	—	73	2	no	—
824	#3289	—	73	2	no	—
825	#3156	—	73	1	no	—
826	#3069	—	73	2	no	—
827	#3067	—	73	1	no	—
828	C₂×#473	—	73	1	no	—
829	#3022	—	73	2	no	—
830	#3020	—	73	2	no	—
831	#2957	—	73	1	no	—
832	#2955	—	73	1	no	—
833	C₇₃	#61108	1	1	yes	characteristic, complemented, Sylow
834	#585	—	73	2	no	—
835	C₂×2₋¹⁺⁴	—	73	2	no	—
836	#578	—	73	2	no	—
837	#578	—	73	2	no	—
838	#578	—	73	2	no	—
839	#578	—	73	2	no	—
840	#578	—	73	1	no	—
841	#578	—	73	1	no	—
842	#578	—	73	2	no	—
843	#578	—	73	1	no	—
844	#578	—	73	1	no	—
845	#578	—	146	1	no	—
846	#578	—	146	1	no	—
847	#578	—	146	2	no	—
848	#578	—	146	1	no	—
849	#578	—	146	2	no	—
850	#578	—	146	2	no	—
851	#578	C₂×D₇₃	1	1	yes	characteristic, complemented
852	#578	C₂×D₇₃	1	2	yes	complemented
853	#578	C₂×D₇₃	1	1	yes	characteristic, complemented
854	#577	—	73	2	no	—
855	#577	—	73	2	no	—
856	#577	—	73	2	no	—
857	#577	—	73	2	no	—
858	#577	—	73	2	no	—
859	#577	—	73	2	no	—
860	#577	—	146	2	no	—
861	#577	—	146	2	no	—
862	#577	—	146	2	no	—
863	#576	—	73	1	no	—
864	#576	—	73	1	no	—
865	#576	—	146	1	no	—
866	#575	—	73	1	no	—
867	#575	—	73	2	no	—
868	#575	—	73	2	no	—
869	#575	—	146	2	no	—
870	#575	—	146	2	no	—
871	#575	—	146	2	no	—
872	C₂×#137	—	73	2	no	—
873	C₂×#137	—	73	2	no	—
874	C₂×#137	—	73	2	no	—
875	C₂×#137	—	146	2	no	—
876	C₂×#137	—	146	2	no	—
877	C₂×#137	—	146	2	no	—
878	C₂×#135	—	73	1	no	—
879	C₂×#135	—	73	1	no	—
880	C₂×#135	—	146	1	no	—
881	C₂×#135	—	146	1	no	—
882	C₂×#135	—	146	1	no	—
883	C₂²×Q₁₆	—	73	1	no	—
884	C₂²×Q₁₆	—	146	1	no	—
885	#568	—	73	2	no	—
886	C₂×#131	—	73	1	no	—
887	C₂×#131	—	73	1	no	—
888	#536	—	73	2	no	—
889	#497	—	73	2	no	—
890	#497	—	73	2	no	—
891	#495	—	73	1	no	—
892	#495	—	73	1	no	—
893	#494	—	73	1	no	—
894	#494	C₂×D₇₃	1	1	yes	characteristic, complemented
895	#473	—	73	2	no	—
896	#473	—	73	2	no	—
897	#473	—	73	2	no	—
898	#473	—	73	1	no	—
899	#473	—	73	1	no	—
900	#473	—	73	1	no	—
901	#473	—	73	1	no	—
902	#473	—	73	2	no	—
903	#473	—	73	2	no	—
904	#473	C₂×D₇₃	1	2	yes	complemented
905	#473	C₂×D₇₃	1	1	yes	characteristic, complemented
906	#473	C₂×D₇₃	1	1	yes	characteristic, complemented
907	#472	—	73	1	no	—
908	#472	—	73	1	no	—
909	#471	—	73	2	no	—
910	#471	—	73	2	no	—
911	#471	—	73	2	no	—
912	#471	—	73	2	no	—
913	#471	—	73	2	no	—
914	#471	—	73	2	no	—
915	#456	—	73	2	no	—
916	#456	—	73	2	no	—
917	#456	—	73	2	no	—
918	#456	—	73	2	no	—
919	#456	—	73	2	no	—
920	#456	—	73	2	no	—
921	#456	C₂×D₇₃	1	2	yes	complemented
922	#456	C₂×D₇₃	1	2	yes	complemented
923	#455	—	73	2	no	—
924	#455	—	73	2	no	—
925	#455	—	73	2	no	—
926	#455	—	73	2	no	—
927	#454	—	73	2	no	—
928	#454	—	73	2	no	—
929	#454	—	73	2	no	—
930	#454	—	73	2	no	—
931	#444	—	73	1	no	—
932	#444	—	73	2	no	—
933	#444	—	73	1	no	—
934	#444	—	73	1	no	—
935	#444	—	73	1	no	—
936	#444	—	73	2	no	—
937	#443	—	73	1	no	—
938	#443	—	73	1	no	—
939	#443	—	73	1	no	—
940	#443	—	73	1	no	—
941	#443	—	73	1	no	—
942	#443	—	73	1	no	—
943	#443	C₂×D₇₃	1	1	yes	characteristic, complemented
944	#443	C₂×D₇₃	1	1	yes	characteristic, complemented
945	#430	—	73	1	no	—
946	C₂×#108	—	73	1	no	—
947	#421	—	73	1	no	—
948	#421	—	73	1	no	—
949	#421	—	73	2	no	—
950	#413	—	73	2	no	—
951	C₂×#101	—	73	2	no	—
952	#405	—	73	1	no	—
953	2₋¹⁺⁴	—	292	2	no	—
954	2₋¹⁺⁴	—	73	2	no	—
955	2₋¹⁺⁴	—	73	2	no	—
956	2₋¹⁺⁴	—	73	2	no	—
957	2₋¹⁺⁴	—	73	2	no	—
958	2₋¹⁺⁴	—	146	2	no	—
959	2₋¹⁺⁴	—	146	2	no	—
960	2₋¹⁺⁴	—	146	2	no	—
961	2₋¹⁺⁴	—	146	2	no	—
962	2₋¹⁺⁴	—	146	2	no	—
963	2₋¹⁺⁴	—	146	2	no	—
964	2₋¹⁺⁴	C₂²×D₇₃	1	2	yes	—
965	2₋¹⁺⁴	C₂²×D₇₃	1	2	yes	—
966	H(5,𝔽₂)	—	292	2	no	—
967	H(5,𝔽₂)	—	73	2	no	—
968	H(5,𝔽₂)	—	73	2	no	—
969	H(5,𝔽₂)	—	146	2	no	—
970	H(5,𝔽₂)	—	146	2	no	—
971	C₂×#41	—	292	2	no	—
972	C₂×#41	—	292	2	no	—
973	C₂×#41	—	73	1	no	—
974	C₂×#41	—	73	1	no	—
975	C₂×#41	—	73	2	no	—
976	C₂×#41	—	73	2	no	—
977	C₂×#41	—	146	2	no	—
978	C₂×#41	—	146	2	no	—
979	C₂×#41	—	146	2	no	—
980	C₂×#41	—	146	2	no	—
981	C₂×#41	—	146	2	no	—
982	C₂×#41	—	146	2	no	—
983	C₂²×Q₈	—	73	2	no	—
984	C₂²×Q₈	—	146	2	no	—
985	C₂²×Q₈	—	146	2	no	—
986	#137	—	2	2	no	—
987	#137	—	2	2	no	—
988	#137	—	2	2	no	—
989	#137	—	2	2	no	—
990	#137	—	73	1	no	—
991	#137	—	73	1	no	—
992	#137	—	73	1	no	—
993	#137	—	73	1	no	—
994	#137	—	73	2	no	—
995	#137	—	73	2	no	—
996	#137	—	73	2	no	—
997	#137	—	73	2	no	—
998	#137	—	73	2	no	—
999	#137	—	73	2	no	—
1000	#137	—	73	2	no	—
1001	#137	—	73	2	no	—
1002	#137	—	146	2	no	—
1003	#137	—	146	2	no	—
1004	#137	—	146	2	no	—
1005	#137	—	146	2	no	—
1006	#137	—	146	2	no	—
1007	#137	—	146	2	no	—
1008	#137	—	146	2	no	—
1009	#137	—	146	2	no	—
1010	#137	—	146	2	no	—
1011	#137	—	146	2	no	—
1012	#137	—	146	2	no	—
1013	#137	—	146	2	no	—
1014	#137	—	146	2	no	—
1015	#137	—	146	2	no	—
1016	#137	—	146	2	no	—
1017	#137	—	146	2	no	—
1018	#137	—	146	2	no	—
1019	#137	—	146	2	no	—
1020	#137	—	146	2	no	—
1021	#137	—	146	2	no	—
1022	#137	—	146	2	no	—
1023	#137	—	146	2	no	—
1024	#137	—	146	2	no	—
1025	#137	—	146	2	no	—
1026	#137	—	146	2	no	—
1027	#137	—	146	2	no	—
1028	#137	—	146	2	no	—
1029	#137	—	146	2	no	—
1030	#137	—	146	2	no	—
1031	#137	—	146	2	no	—
1032	#137	C₂²×D₇₃	1	2	yes	—
1033	#137	C₂²×D₇₃	1	2	yes	—
1034	#137	C₂²×D₇₃	1	2	yes	—
1035	#137	C₂²×D₇₃	1	2	yes	—
1036	AGL(1,ℤ/8)	—	73	1	no	—
1037	AGL(1,ℤ/8)	—	73	1	no	—
1038	AGL(1,ℤ/8)	—	73	1	no	—
1039	AGL(1,ℤ/8)	—	73	1	no	—
1040	AGL(1,ℤ/8)	—	73	2	no	—
1041	AGL(1,ℤ/8)	—	73	2	no	—
1042	AGL(1,ℤ/8)	—	73	2	no	—
1043	AGL(1,ℤ/8)	—	73	2	no	—
1044	AGL(1,ℤ/8)	—	146	2	no	—
1045	AGL(1,ℤ/8)	—	146	2	no	—
1046	AGL(1,ℤ/8)	—	146	2	no	—
1047	AGL(1,ℤ/8)	—	146	2	no	—
1048	AGL(1,ℤ/8)	—	146	2	no	—
1049	AGL(1,ℤ/8)	—	146	2	no	—
1050	AGL(1,ℤ/8)	—	146	2	no	—
1051	AGL(1,ℤ/8)	—	146	2	no	—
1052	AGL(1,ℤ/8)	—	146	2	no	—
1053	AGL(1,ℤ/8)	—	146	2	no	—
1054	#135	—	2	1	no	—
1055	#135	—	2	1	no	—
1056	#135	—	2	2	no	—
1057	#135	—	73	2	no	—
1058	#135	—	73	1	no	—
1059	#135	—	73	1	no	—
1060	#135	—	73	1	no	—
1061	#135	—	73	2	no	—
1062	#135	—	73	1	no	—
1063	#135	—	73	1	no	—
1064	#135	—	73	1	no	—
1065	#135	—	146	1	no	—
1066	#135	—	146	2	no	—
1067	#135	—	146	1	no	—
1068	#135	—	146	1	no	—
1069	#135	—	146	1	no	—
1070	#135	—	146	1	no	—
1071	#135	—	146	1	no	—
1072	#135	—	146	2	no	—
1073	#135	—	146	2	no	—
1074	#135	—	146	1	no	—
1075	#135	—	146	1	no	—
1076	#135	—	146	2	no	—
1077	#135	—	146	2	no	—
1078	#135	—	146	2	no	—
1079	#135	—	146	2	no	—
1080	#135	—	146	2	no	—
1081	#135	—	146	2	no	—
1082	#135	—	146	2	no	—
1083	#135	—	146	2	no	—
1084	#135	—	146	2	no	—
1085	#135	—	146	2	no	—
1086	#135	—	146	2	no	—
1087	#135	—	146	1	no	—
1088	#135	—	146	2	no	—
1089	#135	—	146	1	no	—
1090	#135	C₂²×D₇₃	1	1	yes	characteristic
1091	#135	C₂²×D₇₃	1	1	yes	characteristic
1092	C₂×Q₁₆	—	2	1	no	—
1093	C₂×Q₁₆	—	2	1	no	—
1094	C₂×Q₁₆	—	2	2	no	—
1095	C₂×Q₁₆	—	73	1	no	—
1096	C₂×Q₁₆	—	73	2	no	—
1097	C₂×Q₁₆	—	73	2	no	—
1098	C₂×Q₁₆	—	73	1	no	—
1099	C₂×Q₁₆	—	146	1	no	—
1100	C₂×Q₁₆	—	146	1	no	—
1101	C₂×Q₁₆	—	146	1	no	—
1102	C₂×Q₁₆	—	146	1	no	—
1103	C₂×Q₁₆	—	146	1	no	—
1104	C₂×Q₁₆	—	146	2	no	—
1105	C₂×Q₁₆	—	146	1	no	—
1106	C₂×Q₁₆	—	146	1	no	—
1107	C₂×Q₁₆	—	146	2	no	—
1108	C₂×Q₁₆	—	146	2	no	—
1109	C₂×Q₁₆	—	146	2	no	—
1110	C₂×Q₁₆	—	146	2	no	—
1111	C₂×Q₁₆	—	146	2	no	—
1112	C₂×Q₁₆	—	146	2	no	—
1113	C₂×Q₁₆	—	146	1	no	—
1114	C₂×Q₁₆	C₂²×D₇₃	1	1	yes	characteristic
1115	C₂×Q₁₆	C₂²×D₇₃	1	1	yes	characteristic
1116	C₂×Q₁₆	C₂²×D₇₃	1	2	yes	—
1117	C₂×SD₁₆	—	73	2	no	—
1118	C₂×SD₁₆	—	73	2	no	—
1119	C₂×SD₁₆	—	73	2	no	—
1120	C₂×SD₁₆	—	73	2	no	—
1121	C₂×SD₁₆	—	146	2	no	—
1122	C₂×SD₁₆	—	146	2	no	—
1123	C₂×SD₁₆	—	146	2	no	—
1124	C₂×SD₁₆	—	146	2	no	—
1125	C₂×SD₁₆	—	146	2	no	—
1126	C₂×SD₁₆	—	146	2	no	—
1127	C₂×SD₁₆	—	146	2	no	—
1128	C₂×SD₁₆	—	146	2	no	—
1129	C₂×D₈	—	73	1	no	—
1130	C₂×D₈	—	73	1	no	—
1131	C₂×D₈	—	146	1	no	—
1132	C₂×D₈	—	146	1	no	—
1133	#131	—	73	1	no	—
1134	#131	—	73	1	no	—
1135	#131	—	73	2	no	—
1136	#131	—	73	1	no	—
1137	#131	—	73	1	no	—
1138	#131	—	73	2	no	—
1139	#131	—	73	1	no	—
1140	#131	—	73	1	no	—
1141	#131	—	73	2	no	—
1142	#131	—	146	1	no	—
1143	#131	—	146	1	no	—
1144	#131	—	146	2	no	—
1145	#131	—	146	1	no	—
1146	#131	—	146	1	no	—
1147	#131	—	146	2	no	—
1148	#131	C₂²×D₇₃	1	1	yes	characteristic
1149	#131	C₂²×D₇₃	1	1	yes	characteristic
1150	#131	C₂²×D₇₃	1	2	yes	—
1151	C₂×M₁₆	—	73	1	no	—
1152	C₂×M₁₆	—	73	1	no	—
1153	C₂×M₁₆	—	73	1	no	—
1154	C₂×M₁₆	—	73	2	no	—
1155	C₂×M₁₆	—	146	2	no	—
1156	C₂×M₁₆	—	146	1	no	—
1157	C₂×M₁₆	—	146	1	no	—
1158	C₂×M₁₆	—	146	2	no	—
1159	C₂²×C₈	—	73	1	no	—
1160	C₂²×C₈	—	146	1	no	—
1161	C₂²×C₈	—	146	1	no	—
1162	C₄⋊Q₈	—	73	2	no	—
1163	C₄⋊Q₈	C₂²×D₇₃	1	2	yes	—
1164	#124	—	73	2	no	—
1165	#124	—	73	2	no	—
1166	#123	—	292	2	no	—
1167	C₂²⋊Q₈	—	292	2	no	—
1168	#117	—	73	1	no	—
1169	#108	—	73	2	no	—
1170	#108	—	73	1	no	—
1171	#108	—	73	1	no	—
1172	#108	—	73	1	no	—
1173	#108	—	73	1	no	—
1174	#108	C₂²×D₇₃	1	1	yes	characteristic
1175	#108	C₂²×D₇₃	1	1	yes	characteristic
1176	#104	—	73	1	no	—
1177	#104	—	73	2	no	—
1178	#104	—	73	1	no	—
1179	#104	—	73	1	no	—
1180	#104	—	73	2	no	—
1181	#104	—	73	1	no	—
1182	#104	—	73	1	no	—
1183	#104	—	73	2	no	—
1184	#104	—	73	1	no	—
1185	#104	C₂²×D₇₃	1	1	yes	characteristic
1186	#104	C₂²×D₇₃	1	2	yes	—
1187	#104	C₂²×D₇₃	1	1	yes	characteristic
1188	#101	—	73	2	no	—
1189	#101	—	73	2	no	—
1190	#101	—	73	2	no	—
1191	#101	—	73	2	no	—
1192	#101	C₂²×D₇₃	1	2	yes	—
1193	#101	C₂²×D₇₃	1	2	yes	—
1194	#100	—	73	2	no	—
1195	#100	—	73	2	no	—
1196	#97	—	73	1	no	—
1197	#97	—	73	1	no	—
1198	C₄×C₈	—	73	1	no	—
1199	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
1200	#41	—	2	2	no	—
1201	#41	—	2	2	no	—
1202	#41	—	2	2	no	—
1203	#41	—	2	2	no	—
1204	#41	—	4	2	no	—
1205	#41	—	4	2	no	—
1206	#41	—	292	2	no	—
1207	#41	—	292	2	no	—
1208	#41	—	292	2	no	—
1209	#41	—	292	2	no	—
1210	#41	—	292	2	no	—
1211	#41	—	292	2	no	—
1212	#41	—	292	2	no	—
1213	#41	—	292	2	no	—
1214	#41	—	292	2	no	—
1215	#41	—	292	2	no	—
1216	#41	—	292	2	no	—
1217	#41	—	292	2	no	—
1218	#41	—	292	2	no	—
1219	#41	—	292	2	no	—
1220	#41	—	292	2	no	—
1221	#41	—	292	2	no	—
1222	#41	—	292	2	no	—
1223	#41	—	292	2	no	—
1224	#41	—	292	2	no	—
1225	#41	—	292	2	no	—
1226	#41	—	73	2	no	—
1227	#41	—	73	1	no	—
1228	#41	—	73	1	no	—
1229	#41	—	73	2	no	—
1230	#41	—	73	1	no	—
1231	#41	—	73	1	no	—
1232	#41	—	73	1	no	—
1233	#41	—	73	2	no	—
1234	#41	—	73	1	no	—
1235	#41	—	146	2	no	—
1236	#41	—	146	2	no	—
1237	#41	—	146	2	no	—
1238	#41	—	146	2	no	—
1239	#41	—	146	1	no	—
1240	#41	—	146	2	no	—
1241	#41	—	146	1	no	—
1242	#41	—	146	2	no	—
1243	#41	—	146	2	no	—
1244	#41	—	146	2	no	—
1245	#41	—	146	2	no	—
1246	#41	—	146	2	no	—
1247	#41	—	146	2	no	—
1248	#41	—	146	2	no	—
1249	#41	—	146	2	no	—
1250	#41	—	146	2	no	—
1251	#41	—	146	2	no	—
1252	#41	—	146	2	no	—
1253	#41	—	146	2	no	—
1254	#41	—	146	1	no	—
1255	#41	—	146	2	no	—
1256	#41	—	146	1	no	—
1257	#41	C₂³×D₇₃	1	1	yes	characteristic
1258	#41	C₂³×D₇₃	1	2	yes	—
1259	#41	C₂³×D₇₃	1	1	yes	characteristic
1260	C₂×Q₈	—	2	2	no	—
1261	C₂×Q₈	—	2	2	no	—
1262	C₂×Q₈	—	2	2	no	—
1263	C₂×Q₈	—	2	2	no	—
1264	C₂×Q₈	—	292	2	no	—
1265	C₂×Q₈	—	292	2	no	—
1266	C₂×Q₈	—	292	2	no	—
1267	C₂×Q₈	—	292	2	no	—
1268	C₂×Q₈	—	292	2	no	—
1269	C₂×Q₈	—	292	2	no	—
1270	C₂×Q₈	—	73	2	no	—
1271	C₂×Q₈	—	73	1	no	—
1272	C₂×Q₈	—	73	1	no	—
1273	C₂×Q₈	—	73	2	no	—
1274	C₂×Q₈	—	146	2	no	—
1275	C₂×Q₈	—	146	2	no	—
1276	C₂×Q₈	—	146	2	no	—
1277	C₂×Q₈	—	146	2	no	—
1278	C₂×Q₈	—	146	2	no	—
1279	C₂×Q₈	—	146	2	no	—
1280	C₂×Q₈	—	146	2	no	—
1281	C₂×Q₈	—	146	2	no	—
1282	C₂×Q₈	—	146	2	no	—
1283	C₂×Q₈	—	146	2	no	—
1284	C₂×Q₈	—	146	2	no	—
1285	C₂×Q₈	—	146	2	no	—
1286	C₂×Q₈	—	146	2	no	—
1287	C₂×Q₈	C₂³×D₇₃	1	2	yes	—
1288	C₂×Q₈	C₂³×D₇₃	1	2	yes	—
1289	C₂×D₄	—	292	2	no	—
1290	C₂×D₄	—	292	2	no	—
1291	C₂×D₄	—	292	2	no	—
1292	C₂×D₄	—	292	2	no	—
1293	C₂×D₄	—	292	2	no	—
1294	C₂×D₄	—	292	2	no	—
1295	C₂×D₄	—	292	2	no	—
1296	C₂×D₄	—	292	2	no	—
1297	C₂×D₄	—	73	2	no	—
1298	C₂×D₄	—	73	1	no	—
1299	C₂×D₄	—	73	1	no	—
1300	C₂×D₄	—	73	2	no	—
1301	C₂×D₄	—	146	2	no	—
1302	C₂×D₄	—	146	2	no	—
1303	C₂×D₄	—	146	2	no	—
1304	C₂×D₄	—	146	1	no	—
1305	C₂×D₄	—	146	2	no	—
1306	C₂×D₄	—	146	1	no	—
1307	C₂×D₄	—	146	2	no	—
1308	C₂×D₄	—	146	2	no	—
1309	C₂²×C₄	—	292	2	no	—
1310	C₂²×C₄	—	292	2	no	—
1311	C₂²×C₄	—	292	2	no	—
1312	C₂²×C₄	—	292	2	no	—
1313	C₂²×C₄	—	73	1	no	—
1314	C₂²×C₄	—	146	2	no	—
1315	C₂²×C₄	—	146	2	no	—
1316	C₂²×C₄	—	146	1	no	—
1317	C₂²×C₄	—	146	1	no	—
1318	C₂²×C₄	—	146	2	no	—
1319	Q₁₆	—	2	2	no	—
1320	Q₁₆	—	2	2	no	—
1321	Q₁₆	—	2	2	no	—
1322	Q₁₆	—	2	2	no	—
1323	Q₁₆	—	2	1	no	—
1324	Q₁₆	—	2	1	no	—
1325	Q₁₆	—	2	2	no	—
1326	Q₁₆	—	2	1	no	—
1327	Q₁₆	—	2	2	no	—
1328	Q₁₆	—	2	1	no	—
1329	Q₁₆	—	73	2	no	—
1330	Q₁₆	—	73	1	no	—
1331	Q₁₆	—	73	1	no	—
1332	Q₁₆	—	73	1	no	—
1333	Q₁₆	—	73	1	no	—
1334	Q₁₆	—	146	2	no	—
1335	Q₁₆	—	146	2	no	—
1336	Q₁₆	—	146	2	no	—
1337	Q₁₆	—	146	2	no	—
1338	Q₁₆	—	146	2	no	—
1339	Q₁₆	—	146	2	no	—
1340	Q₁₆	—	146	2	no	—
1341	Q₁₆	—	146	2	no	—
1342	Q₁₆	—	146	2	no	—
1343	Q₁₆	—	146	2	no	—
1344	Q₁₆	—	146	2	no	—
1345	Q₁₆	—	146	2	no	—
1346	Q₁₆	—	146	1	no	—
1347	Q₁₆	—	146	1	no	—
1348	Q₁₆	D₄×D₇₃	1	1	yes	characteristic
1349	Q₁₆	D₄×D₇₃	1	1	yes	characteristic
1350	SD₁₆	—	2	2	no	—
1351	SD₁₆	—	2	2	no	—
1352	SD₁₆	—	2	2	no	—
1353	SD₁₆	—	2	2	no	—
1354	SD₁₆	—	73	2	no	—
1355	SD₁₆	—	73	1	no	—
1356	SD₁₆	—	73	1	no	—
1357	SD₁₆	—	73	2	no	—
1358	SD₁₆	—	73	1	no	—
1359	SD₁₆	—	73	1	no	—
1360	SD₁₆	—	73	2	no	—
1361	SD₁₆	—	73	1	no	—
1362	SD₁₆	—	73	1	no	—
1363	SD₁₆	—	146	2	no	—
1364	SD₁₆	—	146	2	no	—
1365	SD₁₆	—	146	2	no	—
1366	SD₁₆	—	146	2	no	—
1367	SD₁₆	—	146	2	no	—
1368	SD₁₆	—	146	2	no	—
1369	SD₁₆	—	146	2	no	—
1370	SD₁₆	—	146	2	no	—
1371	SD₁₆	—	146	2	no	—
1372	SD₁₆	—	146	2	no	—
1373	SD₁₆	—	146	2	no	—
1374	SD₁₆	—	146	2	no	—
1375	SD₁₆	—	146	2	no	—
1376	SD₁₆	—	146	2	no	—
1377	SD₁₆	—	146	2	no	—
1378	SD₁₆	—	146	2	no	—
1379	SD₁₆	—	146	2	no	—
1380	SD₁₆	—	146	2	no	—
1381	SD₁₆	D₄×D₇₃	1	2	yes	—
1382	SD₁₆	D₄×D₇₃	1	1	yes	characteristic
1383	SD₁₆	D₄×D₇₃	1	1	yes	characteristic
1384	D₈	—	73	2	no	—
1385	D₈	—	73	1	no	—
1386	D₈	—	73	1	no	—
1387	D₈	—	73	1	no	—
1388	D₈	—	73	1	no	—
1389	D₈	—	146	2	no	—
1390	D₈	—	146	2	no	—
1391	D₈	—	146	2	no	—
1392	D₈	—	146	2	no	—
1393	D₈	—	146	1	no	—
1394	D₈	—	146	1	no	—
1395	D₈	D₄×D₇₃	1	1	yes	characteristic
1396	D₈	D₄×D₇₃	1	1	yes	characteristic
1397	M₁₆	—	2	1	no	—
1398	M₁₆	—	2	2	no	—
1399	M₁₆	—	2	1	no	—
1400	M₁₆	—	73	1	no	—
1401	M₁₆	—	73	1	no	—
1402	M₁₆	—	73	1	no	—
1403	M₁₆	—	73	1	no	—
1404	M₁₆	—	73	1	no	—
1405	M₁₆	—	73	2	no	—
1406	M₁₆	—	73	1	no	—
1407	M₁₆	—	146	1	no	—
1408	M₁₆	—	146	2	no	—
1409	M₁₆	—	146	1	no	—
1410	M₁₆	—	146	2	no	—
1411	M₁₆	—	146	1	no	—
1412	M₁₆	—	146	1	no	—
1413	M₁₆	—	146	1	no	—
1414	M₁₆	—	146	2	no	—
1415	M₁₆	—	146	1	no	—
1416	M₁₆	—	146	1	no	—
1417	M₁₆	—	146	2	no	—
1418	M₁₆	—	146	1	no	—
1419	M₁₆	C₂³×D₇₃	1	1	yes	characteristic
1420	M₁₆	C₂³×D₇₃	1	2	yes	—
1421	M₁₆	C₂³×D₇₃	1	1	yes	characteristic
1422	C₂×C₈	—	2	1	no	—
1423	C₂×C₈	—	2	1	no	—
1424	C₂×C₈	—	2	2	no	—
1425	C₂×C₈	—	73	1	no	—
1426	C₂×C₈	—	73	1	no	—
1427	C₂×C₈	—	73	1	no	—
1428	C₂×C₈	—	73	1	no	—
1429	C₂×C₈	—	73	1	no	—
1430	C₂×C₈	—	73	1	no	—
1431	C₂×C₈	—	146	1	no	—
1432	C₂×C₈	—	146	1	no	—
1433	C₂×C₈	—	146	2	no	—
1434	C₂×C₈	—	146	1	no	—
1435	C₂×C₈	—	146	1	no	—
1436	C₂×C₈	—	146	2	no	—
1437	C₂×C₈	—	146	1	no	—
1438	C₂×C₈	—	146	1	no	—
1439	C₂×C₈	—	146	2	no	—
1440	C₂×C₈	—	146	1	no	—
1441	C₂×C₈	—	146	1	no	—
1442	C₂×C₈	—	146	2	no	—
1443	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
1444	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
1445	C₄⋊C₄	—	4	2	no	—
1446	C₄⋊C₄	—	292	2	no	—
1447	C₄⋊C₄	—	146	1	no	—
1448	C₂²⋊C₄	—	292	2	no	—
1449	C₂²⋊C₄	—	292	2	no	—
1450	C₂²⋊C₄	—	146	1	no	—
1451	C₄²	—	73	1	no	—
1452	C₄²	C₂³×D₇₃	1	1	yes	characteristic
1453	C₂³	—	292	2	no	—
1454	C₂³	—	292	2	no	—
1455	C₂³	—	73	1	no	—
1456	C₂³	—	146	1	no	—
1457	C₂³	—	146	2	no	—
1458	C₂³	—	146	1	no	—
1459	C₂³	—	146	2	no	—
1460	Q₈	—	2	2	no	—
1461	Q₈	—	2	2	no	—
1462	Q₈	—	2	2	no	—
1463	Q₈	—	2	2	no	—
1464	Q₈	—	4	2	no	—
1465	Q₈	—	4	2	no	—
1466	Q₈	—	292	2	no	—
1467	Q₈	—	292	2	no	—
1468	Q₈	—	292	2	no	—
1469	Q₈	—	292	2	no	—
1470	Q₈	—	292	2	no	—
1471	Q₈	—	292	2	no	—
1472	Q₈	—	73	1	no	—
1473	Q₈	—	73	2	no	—
1474	Q₈	—	73	1	no	—
1475	Q₈	—	146	1	no	—
1476	Q₈	—	146	2	no	—
1477	Q₈	—	146	1	no	—
1478	Q₈	—	146	2	no	—
1479	Q₈	—	146	2	no	—
1480	Q₈	C₂×D₄×D₇₃	1	1	yes	characteristic
1481	Q₈	C₂×D₄×D₇₃	1	2	yes	—
1482	Q₈	C₂×D₄×D₇₃	1	1	yes	characteristic
1483	D₄	—	2	1	no	—
1484	D₄	—	2	2	no	—
1485	D₄	—	2	1	no	—
1486	D₄	—	4	2	no	—
1487	D₄	—	4	2	no	—
1488	D₄	—	292	2	no	—
1489	D₄	—	292	2	no	—
1490	D₄	—	292	2	no	—
1491	D₄	—	292	2	no	—
1492	D₄	—	292	2	no	—
1493	D₄	—	292	2	no	—
1494	D₄	—	292	2	no	—
1495	D₄	—	292	2	no	—
1496	D₄	—	292	2	no	—
1497	D₄	—	292	2	no	—
1498	D₄	—	73	1	no	—
1499	D₄	—	73	2	no	—
1500	D₄	—	73	1	no	—
1501	D₄	—	146	1	no	—
1502	D₄	—	146	2	no	—
1503	D₄	—	146	1	no	—
1504	D₄	—	146	1	no	—
1505	D₄	—	146	2	no	—
1506	D₄	—	146	1	no	—
1507	D₄	—	146	1	no	—
1508	D₄	—	146	2	no	—
1509	D₄	—	146	1	no	—
1510	D₄	—	146	1	no	—
1511	D₄	—	146	2	no	—
1512	D₄	—	146	1	no	—
1513	D₄	—	146	2	no	—
1514	D₄	—	146	2	no	—
1515	D₄	C₂×D₄×D₇₃	1	1	yes	characteristic
1516	D₄	C₂×D₄×D₇₃	1	2	yes	—
1517	D₄	C₂×D₄×D₇₃	1	1	yes	characteristic
1518	C₂×C₄	—	2	1	no	—
1519	C₂×C₄	—	2	2	no	—
1520	C₂×C₄	—	2	1	no	—
1521	C₂×C₄	—	2	1	no	—
1522	C₂×C₄	—	2	2	no	—
1523	C₂×C₄	—	2	2	no	—
1524	C₂×C₄	—	4	2	no	—
1525	C₂×C₄	—	4	2	no	—
1526	C₂×C₄	—	4	2	no	—
1527	C₂×C₄	—	4	2	no	—
1528	C₂×C₄	—	292	2	no	—
1529	C₂×C₄	—	292	2	no	—
1530	C₂×C₄	—	292	2	no	—
1531	C₂×C₄	—	292	2	no	—
1532	C₂×C₄	—	292	2	no	—
1533	C₂×C₄	—	292	2	no	—
1534	C₂×C₄	—	292	2	no	—
1535	C₂×C₄	—	292	2	no	—
1536	C₂×C₄	—	292	2	no	—
1537	C₂×C₄	—	292	2	no	—
1538	C₂×C₄	—	292	2	no	—
1539	C₂×C₄	—	292	2	no	—
1540	C₂×C₄	—	292	2	no	—
1541	C₂×C₄	—	292	2	no	—
1542	C₂×C₄	—	73	1	no	—
1543	C₂×C₄	—	73	1	no	—
1544	C₂×C₄	—	73	1	no	—
1545	C₂×C₄	—	73	1	no	—
1546	C₂×C₄	—	73	1	no	—
1547	C₂×C₄	—	146	1	no	—
1548	C₂×C₄	—	146	2	no	—
1549	C₂×C₄	—	146	1	no	—
1550	C₂×C₄	—	146	1	no	—
1551	C₂×C₄	—	146	2	no	—
1552	C₂×C₄	—	146	1	no	—
1553	C₂×C₄	—	146	1	no	—
1554	C₂×C₄	—	146	2	no	—
1555	C₂×C₄	—	146	1	no	—
1556	C₂×C₄	—	146	2	no	—
1557	C₂×C₄	—	146	1	no	—
1558	C₂×C₄	—	146	1	no	—
1559	C₂×C₄	—	146	2	no	—
1560	C₂×C₄	—	146	1	no	—
1561	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1562	C₈	—	2	1	no	—
1563	C₈	—	2	2	no	—
1564	C₈	—	2	1	no	—
1565	C₈	—	73	1	no	—
1566	C₈	—	73	1	no	—
1567	C₈	—	73	1	no	—
1568	C₈	—	73	1	no	—
1569	C₈	—	146	1	no	—
1570	C₈	—	146	2	no	—
1571	C₈	—	146	1	no	—
1572	C₈	C₂×D₄×D₇₃	1	1	yes	characteristic
1573	C₈	C₂×D₄×D₇₃	1	1	yes	characteristic
1574	C₈	C₂×D₄×D₇₃	1	1	yes	characteristic
1575	C₈	C₂×D₄×D₇₃	1	1	yes	characteristic
1576	C₂²	—	2	1	no	—
1577	C₂²	—	2	2	no	—
1578	C₂²	—	2	1	no	—
1579	C₂²	—	292	1	no	—
1580	C₂²	—	292	2	no	—
1581	C₂²	—	292	2	no	—
1582	C₂²	—	584	2	no	—
1583	C₂²	—	584	1	no	—
1584	C₂²	—	584	2	no	—
1585	C₂²	—	73	1	no	—
1586	C₂²	—	73	1	no	—
1587	C₂²	—	1168	2	no	—
1588	C₂²	—	1168	2	no	—
1589	C₂²	—	146	1	no	—
1590	C₂²	—	146	2	no	—
1591	C₂²	—	146	1	no	—
1592	C₂²	H(5,𝔽₂)×D₇₃	1	1	yes	characteristic
1593	C₄	—	2	1	no	—
1594	C₄	—	2	2	no	—
1595	C₄	—	2	1	no	—
1596	C₄	—	4	1	no	—
1597	C₄	—	4	2	no	—
1598	C₄	—	4	2	no	—
1599	C₄	—	292	1	no	—
1600	C₄	—	292	2	no	—
1601	C₄	—	73	1	no	—
1602	C₄	—	73	1	no	—
1603	C₄	—	146	1	no	—
1604	C₄	—	146	2	no	—
1605	C₄	—	146	1	no	—
1606	C₄	C₂²×D₄×D₇₃	1	1	yes	characteristic
1607	C₄	C₂²×D₄×D₇₃	1	1	yes	characteristic
1608	C₂	—	2	1	no	—
1609	C₂	—	4	1	no	—
1610	C₂	—	4	1	no	—
1611	C₂	—	4	2	no	—
1612	C₂	—	292	1	no	—
1613	C₂	—	292	1	no	—
1614	C₂	—	292	2	no	—
1615	C₂	—	584	2	no	—
1616	C₂	—	146	1	no	—
1617	C₂	—	146	1	no	—
1618	C₂	D₄²×D₇₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂	D₄²×D₇₃
commutator, cosocle	C₂×C₄×C₇₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₇₃
Fitting	C₇₃×#3293	C₂
socle	C₂×C₇₃	C₂×D₄²
hypercenter	#3293	D₇₃
hypocenter	C₇₃	#61108
LCS	G ▷ C₂×C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂ ◁ C₂×C₄ ◁ #3293

Complements

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

N	H ≅ G/N	type
1. #22624716	C₂	semidirect
2. #22624701	C₂	semidirect
3. #578×D₇₃	C₂	semidirect
4. #22621735	C₂	semidirect
5. #22621734	C₂	semidirect
6. #22621733	C₂	semidirect
7. #22621720	C₂	semidirect
8. #22621719	C₂	semidirect
9. #22621718	C₂	semidirect
10. #22621717	C₂	semidirect
11. #22621705	C₂	semidirect
12. #22621702	C₂	semidirect
13. #22621701	C₂	semidirect
14. #22621701	C₂	semidirect
15. #22620419	C₂	semidirect
16. #22619666	C₂	semidirect
17. #22619653	C₂	semidirect
18. #473×D₇₃	C₂	semidirect
19. #22619308	C₂	semidirect
20. #22619296	C₂	semidirect
21. #22618843	C₂	semidirect
22. #22618829	C₂	semidirect
23. C₇₃×#3293	C₂	semidirect
25. 2₋¹⁺⁴×D₇₃	C₂²	semidirect
26. #17989404	C₂²	semidirect
29. #17989403	C₂²	semidirect
30. #17989403	C₂²	semidirect
31. #17989402	C₂²	semidirect
32. #17989402	C₂²	semidirect
34. #17989401	C₂²	semidirect
38. #17989400	C₂²	semidirect
39. #17989400	C₂²	semidirect
40. #17989400	C₂²	semidirect
41. #17989399	C₂²	semidirect
44. #17989396	C₂²	semidirect
45. #17989396	C₂²	semidirect
46. #17989395	C₂²	semidirect
47. #17989395	C₂²	semidirect
49. #17989394	C₂²	semidirect
50. #17989392	C₂²	semidirect
52. #17989389	C₂²	semidirect
56. #17989386	C₂²	semidirect
60. C₂×#14556623	C₂²	semidirect
64. #137×D₇₃	C₂²	semidirect
71. C₂×Q₁₆×D₇₃	C₂²	semidirect
72. #17989352	C₂²	semidirect
74. #131×D₇₃	C₂²	semidirect
75. #17989162	C₂²	semidirect
76. #17988980	C₂²	semidirect
77. #17988979	C₂²	semidirect
78. #17988972	C₂²	semidirect
79. #17988971	C₂²	semidirect
80. #17988965	C₂²	semidirect
81. #17988863	C₂²	semidirect
82. #17988862	C₂²	semidirect
83. #17988861	C₂²	semidirect
84. #17988861	C₂²	semidirect
85. #17988860	C₂²	semidirect
86. #17988860	C₂²	semidirect
87. #17988859	C₂²	semidirect
88. #17988859	C₂²	semidirect
89. #17988859	C₂²	semidirect
90. #17988858	C₂²	semidirect
91. #17988857	C₂²	semidirect
92. #17988853	C₂²	semidirect
93. #17988853	C₂²	semidirect
94. #17988852	C₂²	semidirect
95. #17988852	C₂²	semidirect
96. #17988851	C₂²	semidirect
97. #17988850	C₂²	semidirect
98. #17988772	C₂²	semidirect
99. #17988770	C₂²	semidirect
100. #17988769	C₂²	semidirect
101. #17988769	C₂²	semidirect
102. #17988768	C₂²	semidirect
103. #17988768	C₂²	semidirect
104. #17988766	C₂²	semidirect
105. #17988766	C₂²	semidirect
106. #17988763	C₂²	semidirect
107. #17988763	C₂²	semidirect
108. #17988762	C₂²	semidirect
109. #17988761	C₂²	semidirect
110. #17988761	C₂²	semidirect
111. #17988760	C₂²	semidirect
112. #17988709	C₂²	semidirect
113. #17988708	C₂²	semidirect
114. #17988707	C₂²	semidirect
115. #17988706	C₂²	semidirect
116. #17988706	C₂²	semidirect
117. #17988706	C₂²	semidirect
118. #17988705	C₂²	semidirect
119. #17988705	C₂²	semidirect
120. #17988704	C₂²	semidirect
121. #17988703	C₂²	semidirect
122. #17988702	C₂²	semidirect
123. #17988702	C₂²	semidirect
124. #17988634	C₂²	semidirect
125. #108×D₇₃	C₂²	semidirect
127. #17988602	C₂²	semidirect
128. #17988602	C₂²	semidirect
129. #17988570	C₂²	semidirect
130. #101×D₇₃	C₂²	semidirect
131. #17988541	C₂²	semidirect
132. #578×C₇₃	C₂²	semidirect
133. #578×C₇₃	C₂²	semidirect
134. #578×C₇₃	C₂²	semidirect
135. #494×C₇₃	C₂²	semidirect
136. #473×C₇₃	C₂²	semidirect
137. #473×C₇₃	C₂²	semidirect
138. #473×C₇₃	C₂²	semidirect
139. #456×C₇₃	C₂²	semidirect
140. #456×C₇₃	C₂²	semidirect
141. #443×C₇₃	C₂²	semidirect
142. #443×C₇₃	C₂²	semidirect
816. #3293	D₇₃	semidirect
833. C₇₃	#61108	semidirect
851. #578	C₂×D₇₃	semidirect
852. #578	C₂×D₇₃	semidirect
853. #578	C₂×D₇₃	semidirect
894. #494	C₂×D₇₃	semidirect
904. #473	C₂×D₇₃	semidirect
905. #473	C₂×D₇₃	semidirect
906. #473	C₂×D₇₃	semidirect
921. #456	C₂×D₇₃	semidirect
922. #456	C₂×D₇₃	semidirect
943. #443	C₂×D₇₃	semidirect
944. #443	C₂×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#22624716	2
#22624701	2
#578×D₇₃	2
#22621735	2
#22621734	2
#22621733	2
#22621720	2
#22621719	2
#22621718	2
#22621717	2
#22621705	2
#22621702	2
#22621701	2
#22620419	2
#22619666	2
#22619653	2
#473×D₇₃	2
#22619308	2
#22619296	2
#22618843	2
#22618829	2
C₇₃×#3293	2
#61108	73