Subgroups — #33978765

Order 18688.

1906 conjugacy classes of subgroups.

The subgroup lattice has 1324 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22623807	C₂	1	1	yes	maximal, characteristic, complemented
2	#22622997	C₂	1	2	yes	maximal, complemented
3	#22622699	C₂	1	2	yes	maximal, complemented
4	#22622051	C₂	1	2	yes	maximal, complemented
5	#22621886	C₂	1	2	yes	maximal, complemented
6	#22621760	C₂	1	2	yes	maximal, complemented
7	#22621639	C₂	1	2	yes	maximal, complemented
8	#22621517	C₂	1	2	yes	maximal, complemented
9	#22621442	C₂	1	2	yes	maximal, complemented
10	#22621293	C₂	1	1	yes	maximal, characteristic, complemented
11	#22621268	C₂	1	1	yes	maximal, characteristic, complemented
12	#22621243	C₂	1	1	yes	maximal, characteristic, complemented
13	#22620946	C₂	1	1	yes	maximal, characteristic, complemented
14	#22620938	C₂	1	1	yes	maximal, characteristic, complemented
15	#22620903	C₂	1	1	yes	maximal, characteristic, complemented
16	#22620082	C₂	1	1	yes	maximal, characteristic, complemented
17	#22620061	C₂	1	1	yes	maximal, characteristic, complemented
18	#22619962	C₂	1	1	yes	maximal, characteristic, complemented
19	#22619403	C₂	1	1	yes	maximal, characteristic, complemented
20	#22619386	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#17988787	C₂	1	1	yes	maximal, characteristic, complemented
22	#22619056	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇₃×#3482	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#14556622	C₂²	1	2	yes	complemented
25	C₂×#14556611	C₂²	1	2	yes	complemented
26	C₂²×#11924015	C₂²	1	2	yes	—
27	#17989322	—	2	1	no	—
28	#17989322	C₂²	1	2	yes	—
29	#17989258	—	2	1	no	—
30	#17989258	C₂²	1	2	yes	—
31	#17989233	—	2	1	no	—
32	#17989233	—	2	1	no	—
33	#17989233	C₂²	1	2	yes	—
34	#17989233	C₂²	1	2	yes	—
35	#17989192	—	2	1	no	—
36	#17989192	—	2	1	no	—
37	#17989151	—	2	1	no	—
38	#17989144	C₂²	1	1	yes	characteristic
39	#17989137	C₂²	1	1	yes	characteristic
40	#17989137	C₂²	1	1	yes	characteristic
41	#17989137	C₂²	1	1	yes	characteristic
42	#17989137	C₂²	1	1	yes	characteristic
43	C₂×#14556588	C₂²	1	1	yes	characteristic
44	#17989061	—	2	1	no	—
45	#17988979	C₂²	1	2	yes	complemented
46	#17988977	C₂²	1	2	yes	—
47	#17988969	C₂²	1	2	yes	complemented
48	#17988953	C₂²	1	2	yes	—
49	#17988949	C₂²	1	2	yes	complemented
50	#17988944	C₂²	1	2	yes	complemented
51	#17988917	C₂²	1	2	yes	—
52	#17988911	C₂²	1	2	yes	complemented
53	#17988905	C₂²	1	2	yes	complemented
54	#17988891	C₂²	1	2	yes	complemented
55	#17988884	C₂²	1	2	yes	complemented
56	#17988874	C₂²	1	2	yes	complemented
57	#17988872	C₂²	1	1	yes	characteristic, complemented
58	#17988872	C₂²	1	1	yes	characteristic, complemented
59	#17988872	C₂²	1	1	yes	characteristic, complemented
60	#17988867	C₂²	1	1	yes	characteristic, complemented
61	#17988838	C₂²	1	2	yes	complemented
62	#17988835	C₂²	1	2	yes	complemented
63	#17988826	C₂²	1	2	yes	—
64	#17988818	C₂²	1	2	yes	complemented
65	#17988818	C₂²	1	2	yes	complemented
66	#17988814	C₂²	1	2	yes	—
67	#17988809	C₂²	1	2	yes	complemented
68	#17988809	C₂²	1	2	yes	complemented
69	#17988809	C₂²	1	2	yes	complemented
70	#17988806	C₂²	1	2	yes	complemented
71	#17988802	C₂²	1	2	yes	complemented
72	#17988799	C₂²	1	2	yes	complemented
73	#17988797	C₂²	1	1	yes	characteristic, complemented
74	#17988797	C₂²	1	1	yes	characteristic, complemented
75	#17988797	C₂²	1	1	yes	characteristic, complemented
76	#17988792	C₂²	1	1	yes	characteristic, complemented
77	#17988789	C₂²	1	2	yes	complemented
78	#17988787	C₂²	1	1	yes	characteristic
79	#17988787	C₂²	1	1	yes	characteristic
80	#17988787	C₂²	1	1	yes	characteristic
81	#17988787	C₂²	1	1	yes	characteristic
82	#17988787	C₂²	1	2	yes	—
83	#17988787	C₂²	1	1	yes	characteristic
84	#17988787	C₂²	1	1	yes	characteristic
85	#17988787	C₂²	1	2	yes	—
86	#17988782	C₂²	1	1	yes	characteristic
87	#17988782	C₂²	1	1	yes	characteristic
88	#17988747	C₂²	1	2	yes	complemented
89	#17988747	C₂²	1	2	yes	complemented
90	#17988747	C₂²	1	2	yes	complemented
91	#17988743	C₂²	1	2	yes	—
92	#17988737	C₂²	1	2	yes	—
93	#17988732	C₂²	1	2	yes	complemented
94	#17988730	C₂²	1	2	yes	complemented
95	#17988726	C₂²	1	2	yes	complemented
96	#17988720	C₂²	1	2	yes	—
97	#17988718	C₂²	1	2	yes	complemented
98	#17988697	C₂²	1	2	yes	complemented
99	#17988692	C₂²	1	2	yes	complemented
100	#17988692	C₂²	1	2	yes	complemented
101	#17988685	C₂²	1	2	yes	complemented
102	C₄×#11924015	C₂²	1	2	yes	complemented
103	C₄×#11924015	C₂²	1	2	yes	complemented
104	#17988659	C₂²	1	2	yes	—
105	#17988659	C₂²	1	2	yes	complemented
106	D₄×#10596831	C₂²	1	2	yes	—
107	#17988644	C₂²	1	1	yes	characteristic
108	#17988644	C₂²	1	1	yes	characteristic, complemented
109	#17988640	C₂²	1	1	yes	characteristic, complemented
110	#17988611	C₂²	1	1	yes	characteristic, complemented
111	C₂×C₄⋊#10596831	C₂²	1	1	yes	characteristic
112	C₂×C₄⋊#10596831	C₂²	1	1	yes	characteristic, complemented
113	#17988586	C₂²	1	2	yes	complemented
114	#17988581	C₂²	1	2	yes	complemented
115	C₂×#14556511	C₂²	1	2	yes	—
116	#557×C₇₃	C₂²	1	1	yes	characteristic, complemented
117	#556×C₇₃	—	2	1	no	—
118	#556×C₇₃	C₂²	1	1	yes	characteristic, complemented
119	#552×C₇₃	—	2	1	no	—
120	#552×C₇₃	—	2	1	no	—
121	#552×C₇₃	C₂²	1	1	yes	characteristic
122	#552×C₇₃	C₂²	1	1	yes	characteristic, complemented
123	D₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic
124	#548×C₇₃	C₂²	1	1	yes	characteristic
125	#548×C₇₃	C₂²	1	1	yes	characteristic, complemented
126	#547×C₇₃	—	2	1	no	—
127	#547×C₇₃	C₂²	1	1	yes	characteristic
128	#533×C₇₃	—	2	1	no	—
129	#533×C₇₃	C₂²	1	1	yes	characteristic, complemented
130	#529×C₇₃	—	2	1	no	—
131	#529×C₇₃	—	2	1	no	—
132	#529×C₇₃	C₂²	1	1	yes	characteristic
133	#529×C₇₃	C₂²	1	1	yes	characteristic, complemented
134	C₄×#41×C₇₃	—	2	1	no	—
135	C₄×#41×C₇₃	C₂²	1	1	yes	characteristic
136	C₄×#41×C₇₃	C₂²	1	1	yes	characteristic, complemented
137	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic
138	C₂×C₄×Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
139	C₂×#11924028	—	2	1	no	—
140	C₂×#11924028	—	2	1	no	—
141	C₂×#11924028	C₂³	1	2	yes	—
142	C₂×#11924028	C₂³	1	2	yes	—
143	C₂²×D₂₉₂	—	2	1	no	—
144	C₂²×D₂₉₂	—	2	1	no	—
145	C₂²×D₂₉₂	C₂³	1	2	yes	—
146	#14556622	—	4	4	no	—
147	#14556611	—	4	4	no	—
148	C₂×#11924018	C₂³	1	2	yes	—
149	C₂×#11924018	C₂³	1	2	yes	—
150	C₂×#11924018	C₂³	1	2	yes	—
151	C₂×#11924016	C₂³	1	2	yes	—
152	C₂×#11924015	—	4	4	no	—
153	C₂×#11924015	C₂³	1	2	yes	—
154	C₂×#11924015	C₂³	1	2	yes	—
155	C₂×#11924015	C₂³	1	2	yes	—
156	C₂×#11924015	C₂³	1	2	yes	—
157	C₂×#11924015	C₂³	1	2	yes	—
158	C₂×#11924015	C₂³	1	2	yes	—
159	C₂×#11924013	C₂³	1	2	yes	—
160	C₂×#11924013	C₂³	1	2	yes	—
161	C₂×#11924012	C₂³	1	2	yes	—
162	C₂²×#10596831	C₂³	1	2	yes	—
163	C₂²×#10596831	C₂³	1	2	yes	—
164	#14556591	C₂³	1	1	yes	characteristic
165	#14556591	C₂³	1	1	yes	characteristic
166	#14556588	—	2	1	no	—
167	#14556588	—	2	1	no	—
168	#14556588	C₂³	1	1	yes	characteristic
169	#14556588	C₂³	1	1	yes	characteristic
170	#14556588	C₂³	1	2	yes	—
171	#14556587	—	2	2	no	—
172	#14556583	—	2	1	no	—
173	#14556580	—	2	2	no	—
174	#14556579	—	2	1	no	—
175	#14556579	—	2	1	no	—
176	#14556579	C₂³	1	2	yes	—
177	#14556579	C₂³	1	2	yes	—
178	#14556576	—	2	2	no	—
179	#14556576	—	2	2	no	—
180	#14556576	—	2	2	no	—
181	#14556576	—	2	2	no	—
182	#14556570	—	2	1	no	—
183	#14556570	C₂³	1	2	yes	—
184	#14556565	—	2	1	no	—
185	#14556565	—	2	1	no	—
186	#14556565	—	2	1	no	—
187	#14556565	—	2	1	no	—
188	#14556565	—	2	1	no	—
189	#14556565	—	2	1	no	—
190	#14556565	C₂³	1	2	yes	—
191	#14556565	C₂³	1	2	yes	—
192	#14556564	—	2	2	no	—
193	#14556564	—	2	2	no	—
194	#14556564	—	2	2	no	—
195	#14556564	—	2	2	no	—
196	#14556559	—	2	2	no	—
197	#14556559	—	2	2	no	—
198	C₄×Dic₁₄₆	—	2	1	no	—
199	C₄×Dic₁₄₆	C₂³	1	2	yes	—
200	C₄×D₂₉₂	—	2	1	no	—
201	C₄×D₂₉₂	—	2	1	no	—
202	C₄×D₂₉₂	—	2	1	no	—
203	C₄×D₂₉₂	—	2	1	no	—
204	C₄×D₂₉₂	—	2	1	no	—
205	C₄×D₂₉₂	—	2	1	no	—
206	C₄×D₂₉₂	C₂³	1	2	yes	—
207	C₄×D₂₉₂	C₂³	1	2	yes	—
208	#14556553	—	2	2	no	—
209	#14556553	—	2	2	no	—
210	#14556550	—	2	1	no	—
211	C₂²⋊C₄×D₇₃	—	2	2	no	—
212	C₂²⋊C₄×D₇₃	—	2	2	no	—
213	#14556524	C₂³	1	2	yes	—
214	#14556522	C₂³	1	2	yes	—
215	#14556522	C₂³	1	2	yes	—
216	#14556522	C₂³	1	2	yes	—
217	C₄⋊#10596831	C₂³	1	1	yes	characteristic
218	C₄⋊#10596831	C₂³	1	1	yes	characteristic
219	C₄⋊#10596831	C₂³	1	2	yes	—
220	C₄⋊#10596831	C₂³	1	1	yes	characteristic
221	C₄⋊#10596831	C₂³	1	2	yes	—
222	C₄⋊#10596831	C₂³	1	2	yes	—
223	C₄⋊#10596831	C₂³	1	1	yes	characteristic
224	#14556515	C₂³	1	2	yes	—
225	#14556515	C₂³	1	2	yes	—
226	#14556515	C₂³	1	2	yes	—
227	#14556514	C₂³	1	2	yes	—
228	#14556514	C₂³	1	2	yes	—
229	#14556514	C₂³	1	2	yes	—
230	#14556514	C₂³	1	2	yes	—
231	#14556512	C₂³	1	2	yes	—
232	#14556511	C₂³	1	2	yes	—
233	#14556511	C₂³	1	2	yes	—
234	#14556511	C₂³	1	2	yes	—
235	#14556511	C₂³	1	2	yes	—
236	#14556511	C₂³	1	2	yes	—
237	#14556511	C₂³	1	2	yes	—
238	#14556511	C₂³	1	2	yes	—
239	#14556511	C₂³	1	2	yes	—
240	C₂²⋊#10596831	C₂³	1	2	yes	—
241	C₂²⋊#10596831	C₂³	1	2	yes	—
242	C₂²⋊#10596831	C₂³	1	2	yes	—
243	#14556502	C₂³	1	2	yes	—
244	#14556502	C₂³	1	2	yes	—
245	C₄×#10596831	C₂³	1	2	yes	—
246	C₂×#41×C₇₃	—	2	1	no	—
247	C₂×#41×C₇₃	D₄	1	1	yes	characteristic
248	C₂×#41×C₇₃	C₂³	1	1	yes	characteristic
249	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
250	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
251	C₄⋊Q₈×C₇₃	—	2	1	no	—
252	C₄⋊Q₈×C₇₃	—	2	1	no	—
253	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
254	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
255	#126×C₇₃	—	2	1	no	—
256	#126×C₇₃	—	2	1	no	—
257	#126×C₇₃	—	2	1	no	—
258	#126×C₇₃	—	2	1	no	—
259	#126×C₇₃	—	2	1	no	—
260	#126×C₇₃	—	2	1	no	—
261	#125×C₇₃	—	2	1	no	—
262	#125×C₇₃	—	2	1	no	—
263	#125×C₇₃	—	2	1	no	—
264	#125×C₇₃	—	2	1	no	—
265	#125×C₇₃	—	2	1	no	—
266	#125×C₇₃	C₂³	1	1	yes	characteristic
267	#125×C₇₃	C₂³	1	1	yes	characteristic
268	#124×C₇₃	—	2	1	no	—
269	#124×C₇₃	—	2	1	no	—
270	#124×C₇₃	C₂³	1	1	yes	characteristic
271	#124×C₇₃	C₂³	1	1	yes	characteristic
272	#123×C₇₃	—	2	1	no	—
273	#123×C₇₃	—	2	1	no	—
274	#123×C₇₃	—	2	1	no	—
275	#123×C₇₃	—	2	1	no	—
276	#123×C₇₃	—	2	1	no	—
277	#123×C₇₃	—	2	1	no	—
278	C₂²⋊Q₈×C₇₃	—	2	1	no	—
279	C₂²⋊Q₈×C₇₃	—	2	1	no	—
280	C₂²⋊Q₈×C₇₃	—	2	1	no	—
281	C₂²⋊Q₈×C₇₃	—	2	1	no	—
282	C₂²⋊Q₈×C₇₃	—	2	1	no	—
283	C₂²⋊Q₈×C₇₃	—	2	1	no	—
284	C₂²⋊Q₈×C₇₃	—	2	1	no	—
285	C₂²⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
286	C₂²⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
287	C₂²⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
288	C₂²⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
289	#121×C₇₃	—	2	1	no	—
290	#121×C₇₃	—	2	1	no	—
291	#121×C₇₃	C₂³	1	1	yes	characteristic
292	#121×C₇₃	C₂³	1	1	yes	characteristic
293	C₄×Q₈×C₇₃	—	2	1	no	—
294	C₄×Q₈×C₇₃	—	2	1	no	—
295	C₄×Q₈×C₇₃	—	2	1	no	—
296	C₄×Q₈×C₇₃	—	2	1	no	—
297	C₄×Q₈×C₇₃	—	2	1	no	—
298	C₄×Q₈×C₇₃	—	2	1	no	—
299	C₄×Q₈×C₇₃	D₄	1	1	yes	characteristic
300	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
301	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
302	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
303	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
304	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
305	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
306	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
307	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
308	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
309	C₄×D₄×C₇₃	—	2	1	no	—
310	C₄×D₄×C₇₃	—	2	1	no	—
311	C₄×D₄×C₇₃	—	2	1	no	—
312	C₄×D₄×C₇₃	—	2	1	no	—
313	C₄×D₄×C₇₃	—	2	1	no	—
314	C₄×D₄×C₇₃	—	2	1	no	—
315	C₄×D₄×C₇₃	—	2	1	no	—
316	C₄×D₄×C₇₃	D₄	1	1	yes	characteristic
317	C₄×D₄×C₇₃	D₄	1	1	yes	characteristic
318	C₄×D₄×C₇₃	D₄	1	1	yes	characteristic
319	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
320	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
321	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
322	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
323	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
324	#117×C₇₃	—	2	1	no	—
325	#117×C₇₃	—	2	1	no	—
326	#117×C₇₃	—	2	1	no	—
327	#117×C₇₃	—	2	1	no	—
328	#117×C₇₃	—	2	1	no	—
329	#117×C₇₃	—	2	1	no	—
330	#117×C₇₃	—	2	1	no	—
331	#117×C₇₃	D₄	1	1	yes	characteristic
332	#117×C₇₃	D₄	1	1	yes	characteristic
333	#117×C₇₃	D₄	1	1	yes	characteristic
334	#117×C₇₃	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
336	C₂×C₄⋊C₄×C₇₃	—	2	1	no	—
337	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
338	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
339	C₂×C₄²×C₇₃	—	2	1	no	—
340	C₂×C₄²×C₇₃	—	2	1	no	—
341	C₂×C₄²×C₇₃	—	2	1	no	—
342	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
343	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
344	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
345	C₂³×D₇₃	—	2	2	no	—
346	#11924028	—	4	2	no	—
347	#11924028	—	4	2	no	—
348	#11924028	—	4	2	no	—
349	#11924028	—	4	2	no	—
350	#11924028	—	8	2	no	—
351	#11924028	—	8	2	no	—
352	C₂×Dic₁₄₆	—	2	1	no	—
353	C₂×Dic₁₄₆	C₂⁴	1	2	yes	—
354	C₂×D₂₉₂	—	2	2	no	—
355	C₂×D₂₉₂	—	2	1	no	—
356	C₂×D₂₉₂	—	2	1	no	—
357	C₂×D₂₉₂	—	2	1	no	—
358	C₂×D₂₉₂	—	2	1	no	—
359	C₂×D₂₉₂	—	2	2	no	—
360	C₂×D₂₉₂	—	2	2	no	—
361	C₂×D₂₉₂	—	4	2	no	—
362	C₂×D₂₉₂	—	4	2	no	—
363	C₂×D₂₉₂	—	4	4	no	—
364	C₂×D₂₉₂	—	8	2	no	—
365	C₂×D₂₉₂	C₂⁴	1	2	yes	—
366	C₂×D₂₉₂	C₂⁴	1	2	yes	—
367	C₂×C₂²⋊D₇₃	—	2	2	no	—
368	C₂×C₂²⋊D₇₃	—	2	2	no	—
369	C₂×C₂²⋊D₇₃	—	2	2	no	—
370	C₂×C₂²⋊D₇₃	—	2	2	no	—
371	C₂×C₄×D₇₃	—	2	2	no	—
372	C₂×C₄×D₇₃	—	2	2	no	—
373	C₂×C₄×D₇₃	—	2	2	no	—
374	C₂×C₄×D₇₃	—	2	2	no	—
375	#11924018	—	2	4	no	—
376	#11924018	—	4	2	no	—
377	#11924018	—	4	2	no	—
378	#11924016	—	4	2	no	—
379	#11924015	—	2	4	no	—
380	#11924015	—	2	4	no	—
381	#11924015	—	4	2	no	—
382	#11924015	—	4	2	no	—
383	#11924015	—	4	2	no	—
384	#11924015	—	4	2	no	—
385	#11924013	—	4	2	no	—
386	#11924013	—	4	2	no	—
387	#11924012	—	4	2	no	—
388	C₂×#10596831	—	4	2	no	—
389	C₂×#10596831	—	4	2	no	—
390	C₂×#10596831	C₂⁴	1	2	yes	—
391	C₂×#10596831	C₂⁴	1	2	yes	—
392	C₂×#10596831	C₂⁴	1	2	yes	—
393	C₂×#10596831	C₂⁴	1	2	yes	—
394	C₄⋊Dic₇₃	—	2	1	no	—
395	C₄⋊Dic₇₃	—	2	1	no	—
396	C₄⋊Dic₇₃	—	2	1	no	—
397	C₄⋊Dic₇₃	C₂⁴	1	2	yes	—
398	#11924007	—	2	2	no	—
399	#11924007	—	2	2	no	—
400	C₂²⋊Dic₇₃	—	2	2	no	—
401	#11924005	—	2	2	no	—
402	#11924005	—	2	2	no	—
403	#11924005	—	2	2	no	—
404	#11924005	—	2	2	no	—
405	#11924005	—	2	2	no	—
406	#11924005	—	2	2	no	—
407	#11924005	—	2	2	no	—
408	#11924005	—	2	2	no	—
409	C₄×Dic₇₃	—	2	2	no	—
410	#41×C₇₃	—	2	2	no	—
411	#41×C₇₃	—	4	2	no	—
412	#41×C₇₃	—	4	1	no	—
413	#41×C₇₃	—	4	4	no	—
414	C₂×Q₈×C₇₃	—	2	1	no	—
415	C₂×Q₈×C₇₃	—	2	1	no	—
416	C₂×Q₈×C₇₃	—	2	1	no	—
417	C₂×Q₈×C₇₃	—	2	2	no	—
418	C₂×Q₈×C₇₃	—	2	2	no	—
419	C₂×Q₈×C₇₃	—	4	1	no	—
420	C₂×Q₈×C₇₃	—	4	1	no	—
421	C₂×Q₈×C₇₃	C₂×D₄	1	1	yes	characteristic
422	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
423	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
424	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
425	C₂×D₄×C₇₃	—	2	1	no	—
426	C₂×D₄×C₇₃	—	2	1	no	—
427	C₂×D₄×C₇₃	—	2	1	no	—
428	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
429	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
430	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
431	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₇₃	—	2	1	no	—
433	C₂²×C₄×C₇₃	—	2	1	no	—
434	C₂²×C₄×C₇₃	—	2	1	no	—
435	C₂²×C₄×C₇₃	—	2	1	no	—
436	C₂²×C₄×C₇₃	—	2	1	no	—
437	C₂²×C₄×C₇₃	—	2	1	no	—
438	C₂²×C₄×C₇₃	—	2	1	no	—
439	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
440	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
441	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
442	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
443	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
444	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
445	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
446	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
447	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
448	C₄⋊C₄×C₇₃	—	2	1	no	—
449	C₄⋊C₄×C₇₃	—	2	1	no	—
450	C₄⋊C₄×C₇₃	—	2	1	no	—
451	C₄⋊C₄×C₇₃	—	2	1	no	—
452	C₄⋊C₄×C₇₃	—	2	1	no	—
453	C₄⋊C₄×C₇₃	—	2	1	no	—
454	C₄⋊C₄×C₇₃	—	2	1	no	—
455	C₄⋊C₄×C₇₃	—	2	1	no	—
456	C₄⋊C₄×C₇₃	—	2	1	no	—
457	C₄⋊C₄×C₇₃	—	2	1	no	—
458	C₄⋊C₄×C₇₃	—	2	1	no	—
459	C₄⋊C₄×C₇₃	—	2	1	no	—
460	C₄⋊C₄×C₇₃	—	2	1	no	—
461	C₄⋊C₄×C₇₃	—	2	1	no	—
462	C₄⋊C₄×C₇₃	—	2	1	no	—
463	C₄⋊C₄×C₇₃	—	2	1	no	—
464	C₄⋊C₄×C₇₃	—	2	1	no	—
465	C₄⋊C₄×C₇₃	—	2	1	no	—
466	C₄⋊C₄×C₇₃	—	2	1	no	—
467	C₄⋊C₄×C₇₃	—	2	1	no	—
468	C₄⋊C₄×C₇₃	—	2	1	no	—
469	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
470	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
471	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
472	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
473	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
474	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
475	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
476	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
477	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
478	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
479	C₂²⋊C₄×C₇₃	—	2	1	no	—
480	C₂²⋊C₄×C₇₃	—	2	1	no	—
481	C₂²⋊C₄×C₇₃	—	2	1	no	—
482	C₂²⋊C₄×C₇₃	—	2	1	no	—
483	C₂²⋊C₄×C₇₃	—	2	1	no	—
484	C₂²⋊C₄×C₇₃	—	2	1	no	—
485	C₂²⋊C₄×C₇₃	—	2	1	no	—
486	C₂²⋊C₄×C₇₃	—	2	1	no	—
487	C₂²⋊C₄×C₇₃	—	2	1	no	—
488	C₂²⋊C₄×C₇₃	—	2	1	no	—
489	C₂²⋊C₄×C₇₃	—	2	1	no	—
490	C₂²⋊C₄×C₇₃	—	2	1	no	—
491	C₂²⋊C₄×C₇₃	—	2	1	no	—
492	C₂²⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
493	C₂²⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
494	C₂²⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
495	C₂²⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
496	C₂²⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
497	C₂²⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
498	C₄²×C₇₃	—	2	1	no	—
499	C₄²×C₇₃	—	2	1	no	—
500	C₄²×C₇₃	—	2	1	no	—
501	C₄²×C₇₃	—	2	1	no	—
502	C₄²×C₇₃	—	2	1	no	—
503	C₄²×C₇₃	—	2	1	no	—
504	C₄²×C₇₃	—	2	1	no	—
505	C₄²×C₇₃	—	2	1	no	—
506	C₄²×C₇₃	—	2	1	no	—
507	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
508	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
509	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
510	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
511	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
512	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
513	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
514	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
515	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
516	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
517	C₂³×C₇₃	—	2	1	no	—
518	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
519	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
520	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
521	C₂²×D₇₃	—	2	2	no	—
522	C₂²×D₇₃	—	2	2	no	—
523	C₂²×D₇₃	—	4	4	no	—
524	C₂²×D₇₃	—	8	2	no	—
525	C₂²×D₇₃	—	8	2	no	—
526	Q₈×C₇₃	—	2	1	no	—
527	Q₈×C₇₃	—	2	1	no	—
528	Q₈×C₇₃	—	2	1	no	—
529	Q₈×C₇₃	—	2	1	no	—
530	Q₈×C₇₃	—	2	1	no	—
531	Q₈×C₇₃	—	4	1	no	—
532	Q₈×C₇₃	—	4	2	no	—
533	Q₈×C₇₃	—	4	2	no	—
534	Q₈×C₇₃	—	4	2	no	—
535	Q₈×C₇₃	H(5,𝔽₂)	1	2	yes	—
536	D₄×C₇₃	—	2	2	no	—
537	D₄×C₇₃	—	2	2	no	—
538	D₄×C₇₃	—	2	1	no	—
539	D₄×C₇₃	—	2	1	no	—
540	D₄×C₇₃	—	4	1	no	—
541	D₄×C₇₃	—	4	2	no	—
542	D₄×C₇₃	—	4	2	no	—
543	D₄×C₇₃	—	4	2	no	—
544	C₂×C₄×C₇₃	—	2	2	no	—
545	C₂×C₄×C₇₃	—	2	1	no	—
546	C₂×C₄×C₇₃	—	2	2	no	—
547	C₂×C₄×C₇₃	—	2	2	no	—
548	C₂×C₄×C₇₃	—	2	2	no	—
549	C₂×C₄×C₇₃	—	2	1	no	—
550	C₂×C₄×C₇₃	—	2	1	no	—
551	C₂×C₄×C₇₃	—	2	1	no	—
552	C₂×C₄×C₇₃	—	2	1	no	—
553	C₂×C₄×C₇₃	—	2	1	no	—
554	C₂×C₄×C₇₃	—	2	1	no	—
555	C₂×C₄×C₇₃	—	2	1	no	—
556	C₂×C₄×C₇₃	—	2	1	no	—
557	C₂×C₄×C₇₃	—	2	1	no	—
558	C₂×C₄×C₇₃	—	2	1	no	—
559	C₂×C₄×C₇₃	—	2	1	no	—
560	C₂×C₄×C₇₃	—	2	1	no	—
561	C₂×C₄×C₇₃	—	4	1	no	—
562	C₂×C₄×C₇₃	—	4	1	no	—
563	C₂×C₄×C₇₃	—	4	2	no	—
564	C₂×C₄×C₇₃	—	4	2	no	—
565	C₂×C₄×C₇₃	—	4	2	no	—
566	C₂×C₄×C₇₃	—	4	2	no	—
567	C₂×C₄×C₇₃	—	4	2	no	—
568	C₂×C₄×C₇₃	—	4	2	no	—
569	C₂×C₄×C₇₃	—	4	2	no	—
570	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
571	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
572	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
573	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
574	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
575	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
576	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
577	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
578	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
579	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
580	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
581	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
582	C₂²⋊D₇₃	—	8	2	no	—
583	C₂²⋊D₇₃	—	8	2	no	—
584	C₂²⋊D₇₃	—	8	2	no	—
585	C₂²⋊D₇₃	—	8	2	no	—
586	C₂×Dic₇₃	—	2	2	no	—
587	C₂×Dic₇₃	—	2	2	no	—
588	D₂₉₂	—	2	2	no	—
589	D₂₉₂	—	2	2	no	—
590	D₂₉₂	—	2	2	no	—
591	D₂₉₂	—	2	2	no	—
592	D₂₉₂	—	4	2	no	—
593	D₂₉₂	—	4	2	no	—
594	D₂₉₂	—	4	4	no	—
595	D₂₉₂	—	4	2	no	—
596	D₂₉₂	—	4	2	no	—
597	D₂₉₂	—	8	2	no	—
598	D₂₉₂	—	8	2	no	—
599	C₄×D₇₃	—	8	2	no	—
600	C₄×D₇₃	—	8	2	no	—
601	C₄×D₇₃	—	8	2	no	—
602	C₄×D₇₃	—	8	2	no	—
603	Dic₁₄₆	—	2	2	no	—
604	Dic₁₄₆	—	2	2	no	—
605	Dic₁₄₆	—	4	2	no	—
606	#10596831	—	2	2	no	—
607	#10596831	—	2	2	no	—
608	#10596831	—	2	2	no	—
609	#10596831	—	2	2	no	—
610	C₂²×C₇₃	—	2	1	no	—
611	C₂²×C₇₃	—	2	1	no	—
612	C₂²×C₇₃	—	2	1	no	—
613	C₂²×C₇₃	—	2	1	no	—
614	C₂²×C₇₃	—	2	1	no	—
615	C₂²×C₇₃	—	2	1	no	—
616	C₂²×C₇₃	—	2	1	no	—
617	C₂²×C₇₃	—	2	1	no	—
618	C₂²×C₇₃	—	4	1	no	—
619	C₂²×C₇₃	—	4	1	no	—
620	C₂²×C₇₃	—	4	1	no	—
621	C₂²×C₇₃	#575	1	2	yes	—
622	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
623	C₂×D₇₃	—	4	2	no	—
624	C₂×D₇₃	—	4	2	no	—
625	C₂×D₇₃	—	4	2	no	—
626	C₂×D₇₃	—	4	2	no	—
627	C₂×D₇₃	—	4	2	no	—
628	C₂×D₇₃	—	4	2	no	—
629	C₂×D₇₃	—	16	4	no	—
630	C₄×C₇₃	—	2	1	no	—
631	C₄×C₇₃	—	2	1	no	—
632	C₄×C₇₃	—	2	1	no	—
633	C₄×C₇₃	—	2	2	no	—
634	C₄×C₇₃	—	2	1	no	—
635	C₄×C₇₃	—	2	1	no	—
636	C₄×C₇₃	—	2	1	no	—
637	C₄×C₇₃	—	2	1	no	—
638	C₄×C₇₃	—	2	1	no	—
639	C₄×C₇₃	—	2	1	no	—
640	C₄×C₇₃	—	2	1	no	—
641	C₄×C₇₃	—	4	1	no	—
642	C₄×C₇₃	—	4	1	no	—
643	C₄×C₇₃	—	4	1	no	—
644	C₄×C₇₃	—	4	1	no	—
645	C₄×C₇₃	—	4	1	no	—
646	C₄×C₇₃	—	4	1	no	—
647	C₄×C₇₃	#577	1	2	yes	—
648	C₄×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
649	C₄×C₇₃	#585	1	1	yes	characteristic
650	Dic₇₃	—	4	2	no	—
651	Dic₇₃	—	4	2	no	—
652	#61981	—	73	1	no	maximal, Sylow
653	C₂×C₇₃	—	2	2	no	—
654	C₂×C₇₃	—	4	1	no	—
655	C₂×C₇₃	—	4	1	no	—
656	C₂×C₇₃	—	8	1	no	—
657	C₂×C₇₃	#3488	1	1	yes	characteristic
658	C₂×C₇₃	C₂×#575	1	1	yes	characteristic
659	C₂×C₇₃	C₂×#577	1	1	yes	characteristic
660	D₇₃	—	8	2	no	—
661	D₇₃	—	8	2	no	—
662	#3508	—	73	1	no	—
663	#3482	D₇₃	1	1	yes	characteristic, complemented
664	#3401	—	73	2	no	—
665	#3371	—	73	2	no	—
666	#3317	—	73	2	no	—
667	#3306	—	73	2	no	—
668	#3296	—	73	2	no	—
669	#3282	—	73	2	no	—
670	#3271	—	73	2	no	—
671	#3266	—	73	2	no	—
672	#3251	—	73	1	no	—
673	#3248	—	73	1	no	—
674	#3246	—	73	1	no	—
675	#3217	—	73	1	no	—
676	#3216	—	73	1	no	—
677	#3212	—	73	1	no	—
678	#3115	—	73	1	no	—
679	#3113	—	73	1	no	—
680	#3103	—	73	1	no	—
681	#3037	—	73	1	no	—
682	#3035	—	73	1	no	—
683	C₂×#460	—	73	1	no	—
684	#2990	—	73	1	no	—
685	C₇₃	#61981	1	1	yes	characteristic, complemented, Sylow
686	C₂×#137	—	73	2	no	—
687	C₂×#135	—	73	2	no	—
688	C₂²×SD₁₆	—	73	2	no	—
689	#559	—	73	2	no	—
690	#559	—	146	1	no	—
691	#557	C₂×D₇₃	1	1	yes	characteristic, complemented
692	#556	—	2	1	no	—
693	#556	C₂×D₇₃	1	1	yes	characteristic, complemented
694	#552	—	2	1	no	—
695	#552	—	2	1	no	—
696	#552	C₂×D₇₃	1	1	yes	characteristic
697	#552	C₂×D₇₃	1	1	yes	characteristic, complemented
698	#550	—	73	2	no	—
699	#550	—	146	1	no	—
700	D₄×Q₈	C₂×D₇₃	1	1	yes	characteristic
701	#548	C₂×D₇₃	1	1	yes	characteristic
702	#548	C₂×D₇₃	1	1	yes	characteristic, complemented
703	#547	—	2	1	no	—
704	#547	C₂×D₇₃	1	1	yes	characteristic
705	#546	—	73	2	no	—
706	#546	—	73	2	no	—
707	#546	—	146	1	no	—
708	#546	—	146	1	no	—
709	#540	—	146	1	no	—
710	#540	—	146	1	no	—
711	#535	—	146	1	no	—
712	#533	—	2	1	no	—
713	#533	—	73	1	no	—
714	#533	C₂×D₇₃	1	1	yes	characteristic, complemented
715	#532	—	73	1	no	—
716	#532	—	73	1	no	—
717	#532	—	73	1	no	—
718	#532	—	73	1	no	—
719	C₂×#127	—	73	1	no	—
720	#529	—	2	1	no	—
721	#529	—	2	1	no	—
722	#529	C₂×D₇₃	1	1	yes	characteristic
723	#529	C₂×D₇₃	1	1	yes	characteristic, complemented
724	#518	—	146	1	no	—
725	C₄×#41	—	2	1	no	—
726	C₄×#41	C₂×D₇₃	1	1	yes	characteristic
727	C₄×#41	C₂×D₇₃	1	1	yes	characteristic, complemented
728	C₂×C₄×Q₈	C₂×D₇₃	1	1	yes	characteristic
729	C₂×C₄×Q₈	C₂×D₇₃	1	1	yes	characteristic, complemented
730	#497	—	73	2	no	—
731	#496	—	73	2	no	—
732	#495	—	73	2	no	—
733	#490	—	73	2	no	—
734	#489	—	73	2	no	—
735	#488	—	73	2	no	—
736	#483	—	73	2	no	—
737	#482	—	73	2	no	—
738	#481	—	73	2	no	—
739	#479	—	73	2	no	—
740	#478	—	73	2	no	—
741	#476	—	73	2	no	—
742	#475	—	73	1	no	—
743	#475	—	73	1	no	—
744	#475	—	73	1	no	—
745	#474	—	73	1	no	—
746	#469	—	73	2	no	—
747	#468	—	73	2	no	—
748	#467	—	73	2	no	—
749	#465	—	73	2	no	—
750	#465	—	73	2	no	—
751	#465	—	73	2	no	—
752	#464	—	73	2	no	—
753	#464	—	73	2	no	—
754	#464	—	73	2	no	—
755	#464	—	73	2	no	—
756	#463	—	73	2	no	—
757	#463	—	73	2	no	—
758	#462	—	73	1	no	—
759	#462	—	73	1	no	—
760	#462	—	73	1	no	—
761	#461	—	73	2	no	—
762	#461	—	73	1	no	—
763	#460	—	73	1	no	—
764	#460	—	73	1	no	—
765	#460	—	73	1	no	—
766	#460	—	73	2	no	—
767	#460	—	73	2	no	—
768	#460	—	73	1	no	—
769	#460	—	73	1	no	—
770	#460	—	73	1	no	—
771	#459	—	73	1	no	—
772	#459	—	73	1	no	—
773	#452	—	73	2	no	—
774	#452	—	73	2	no	—
775	#452	—	73	2	no	—
776	#451	—	73	2	no	—
777	#450	—	73	2	no	—
778	#449	—	73	2	no	—
779	#449	—	73	2	no	—
780	#448	—	73	2	no	—
781	#447	—	73	2	no	—
782	#446	—	73	2	no	—
783	#442	—	73	2	no	—
784	#441	—	73	2	no	—
785	#441	—	73	2	no	—
786	#440	—	73	2	no	—
787	C₄×SD₁₆	—	73	2	no	—
788	C₄×SD₁₆	—	73	2	no	—
789	#435	—	73	2	no	—
790	#435	—	73	2	no	—
791	C₈×D₄	—	73	2	no	—
792	#432	—	73	1	no	—
793	#432	—	73	1	no	—
794	#431	—	73	1	no	—
795	#423	—	73	1	no	—
796	C₂×C₄⋊C₈	—	73	1	no	—
797	C₂×C₄⋊C₈	—	73	1	no	—
798	#417	—	73	2	no	—
799	#416	—	73	2	no	—
800	C₂×#102	—	73	2	no	—
801	C₂×#41	—	2	1	no	—
802	C₂×#41	—	73	2	no	—
803	C₂×#41	—	73	2	no	—
804	C₂×#41	—	146	1	no	—
805	C₂×#41	—	146	1	no	—
806	C₂×#41	C₂²⋊D₇₃	1	1	yes	characteristic
807	C₂×#41	C₂²×D₇₃	1	1	yes	characteristic
808	C₂²×Q₈	C₂²×D₇₃	1	1	yes	characteristic
809	C₂²×Q₈	C₂²×D₇₃	1	1	yes	characteristic
810	C₂²×D₄	—	73	2	no	—
811	C₂²×D₄	—	146	1	no	—
812	C₂²×D₄	—	146	1	no	—
813	#137	—	292	4	no	—
814	#135	—	292	4	no	—
815	C₂×Q₁₆	—	73	2	no	—
816	C₂×Q₁₆	—	73	2	no	—
817	C₂×Q₁₆	—	73	2	no	—
818	C₂×SD₁₆	—	292	4	no	—
819	C₂×SD₁₆	—	73	2	no	—
820	C₂×SD₁₆	—	73	2	no	—
821	C₂×SD₁₆	—	73	2	no	—
822	C₂×SD₁₆	—	73	2	no	—
823	C₂×SD₁₆	—	73	2	no	—
824	C₂×SD₁₆	—	73	2	no	—
825	C₂×SD₁₆	—	73	2	no	—
826	C₂×D₈	—	73	2	no	—
827	C₂×D₈	—	73	2	no	—
828	C₂×M₁₆	—	73	2	no	—
829	C₂²×C₈	—	73	2	no	—
830	C₂²×C₈	—	73	2	no	—
831	C₄⋊Q₈	—	2	1	no	—
832	C₄⋊Q₈	—	2	1	no	—
833	C₄⋊Q₈	—	73	1	no	—
834	C₄⋊Q₈	—	73	1	no	—
835	C₄⋊Q₈	C₂²×D₇₃	1	1	yes	characteristic
836	C₄⋊Q₈	C₂²×D₇₃	1	1	yes	characteristic
837	#127	—	73	1	no	—
838	#127	—	73	1	no	—
839	#127	—	73	2	no	—
840	#127	—	146	2	no	—
841	#127	—	146	1	no	—
842	#127	—	146	1	no	—
843	#126	—	2	1	no	—
844	#126	—	2	1	no	—
845	#126	—	2	1	no	—
846	#126	—	2	1	no	—
847	#126	—	2	1	no	—
848	#126	—	2	1	no	—
849	#125	—	2	1	no	—
850	#125	—	2	1	no	—
851	#125	—	2	1	no	—
852	#125	—	2	1	no	—
853	#125	—	2	1	no	—
854	#125	—	146	1	no	—
855	#125	C₂²×D₇₃	1	1	yes	characteristic
856	#125	C₂²×D₇₃	1	1	yes	characteristic
857	#124	—	2	1	no	—
858	#124	—	2	1	no	—
859	#124	—	73	2	no	—
860	#124	—	73	2	no	—
861	#124	—	146	2	no	—
862	#124	—	146	1	no	—
863	#124	—	146	1	no	—
864	#124	C₂²×D₇₃	1	1	yes	characteristic
865	#124	C₂²×D₇₃	1	1	yes	characteristic
866	#123	—	2	1	no	—
867	#123	—	2	1	no	—
868	#123	—	2	1	no	—
869	#123	—	2	1	no	—
870	#123	—	2	1	no	—
871	#123	—	2	1	no	—
872	#123	—	146	2	no	—
873	#123	—	146	2	no	—
874	#123	—	146	2	no	—
875	#123	—	146	2	no	—
876	C₂²⋊Q₈	—	2	1	no	—
877	C₂²⋊Q₈	—	2	1	no	—
878	C₂²⋊Q₈	—	2	1	no	—
879	C₂²⋊Q₈	—	2	1	no	—
880	C₂²⋊Q₈	—	2	1	no	—
881	C₂²⋊Q₈	—	2	1	no	—
882	C₂²⋊Q₈	—	2	1	no	—
883	C₂²⋊Q₈	—	73	2	no	—
884	C₂²⋊Q₈	—	146	1	no	—
885	C₂²⋊Q₈	C₂²×D₇₃	1	1	yes	characteristic
886	C₂²⋊Q₈	C₂²×D₇₃	1	1	yes	characteristic
887	C₂²⋊Q₈	C₂²×D₇₃	1	1	yes	characteristic
888	C₂²⋊Q₈	C₂²×D₇₃	1	1	yes	characteristic
889	#121	—	2	1	no	—
890	#121	—	2	1	no	—
891	#121	—	73	2	no	—
892	#121	—	73	2	no	—
893	#121	—	146	1	no	—
894	#121	—	146	1	no	—
895	#121	—	146	1	no	—
896	#121	—	146	1	no	—
897	#121	—	146	1	no	—
898	#121	—	146	1	no	—
899	#121	—	146	2	no	—
900	#121	—	146	2	no	—
901	#121	—	146	2	no	—
902	#121	—	146	2	no	—
903	#121	C₂²×D₇₃	1	1	yes	characteristic
904	#121	C₂²×D₇₃	1	1	yes	characteristic
905	#120	—	146	2	no	—
906	#120	—	146	2	no	—
907	C₄×Q₈	—	2	1	no	—
908	C₄×Q₈	—	2	1	no	—
909	C₄×Q₈	—	2	1	no	—
910	C₄×Q₈	—	2	1	no	—
911	C₄×Q₈	—	2	1	no	—
912	C₄×Q₈	—	2	1	no	—
913	C₄×Q₈	—	73	2	no	—
914	C₄×Q₈	—	146	1	no	—
915	C₄×Q₈	C₂²⋊D₇₃	1	1	yes	characteristic
916	C₄×Q₈	C₂²×D₇₃	1	1	yes	characteristic
917	C₄×Q₈	C₂²×D₇₃	1	1	yes	characteristic
918	C₄×Q₈	C₂²×D₇₃	1	1	yes	characteristic
919	C₄×Q₈	C₂²×D₇₃	1	1	yes	characteristic
920	C₄×Q₈	C₂²×D₇₃	1	1	yes	characteristic
921	C₄×Q₈	C₂²×D₇₃	1	1	yes	characteristic
922	C₄×Q₈	C₂²×D₇₃	1	1	yes	characteristic
923	C₄×Q₈	C₂²×D₇₃	1	1	yes	characteristic
924	C₄×Q₈	C₂²×D₇₃	1	1	yes	characteristic
925	C₄×D₄	—	2	1	no	—
926	C₄×D₄	—	2	1	no	—
927	C₄×D₄	—	2	1	no	—
928	C₄×D₄	—	2	1	no	—
929	C₄×D₄	—	2	1	no	—
930	C₄×D₄	—	2	1	no	—
931	C₄×D₄	—	2	1	no	—
932	C₄×D₄	—	73	2	no	—
933	C₄×D₄	—	73	2	no	—
934	C₄×D₄	—	146	2	no	—
935	C₄×D₄	—	146	2	no	—
936	C₄×D₄	—	146	1	no	—
937	C₄×D₄	—	146	1	no	—
938	C₄×D₄	—	146	1	no	—
939	C₄×D₄	—	146	1	no	—
940	C₄×D₄	—	146	1	no	—
941	C₄×D₄	—	146	1	no	—
942	C₄×D₄	C₂²⋊D₇₃	1	1	yes	characteristic
943	C₄×D₄	C₂²⋊D₇₃	1	1	yes	characteristic
944	C₄×D₄	C₂²⋊D₇₃	1	1	yes	characteristic
945	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
946	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
947	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
948	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
949	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
950	#117	—	2	1	no	—
951	#117	—	2	1	no	—
952	#117	—	2	1	no	—
953	#117	—	2	1	no	—
954	#117	—	2	1	no	—
955	#117	—	2	1	no	—
956	#117	—	2	1	no	—
957	#117	—	146	1	no	—
958	#117	C₂²⋊D₇₃	1	1	yes	characteristic
959	#117	C₂²⋊D₇₃	1	1	yes	characteristic
960	#117	C₂²⋊D₇₃	1	1	yes	characteristic
961	#117	C₂²×D₇₃	1	1	yes	characteristic
962	C₂×C₄⋊C₄	—	2	1	no	—
963	C₂×C₄⋊C₄	—	2	1	no	—
964	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
965	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
966	C₂×C₂²⋊C₄	—	146	2	no	—
967	C₂×C₂²⋊C₄	—	146	2	no	—
968	C₂×C₄²	—	2	1	no	—
969	C₂×C₄²	—	2	1	no	—
970	C₂×C₄²	—	2	1	no	—
971	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
972	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
973	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
974	#107	—	73	2	no	—
975	#106	—	73	2	no	—
976	#106	—	73	2	no	—
977	#106	—	73	2	no	—
978	C₄⋊C₈	—	73	1	no	—
979	C₄⋊C₈	—	73	1	no	—
980	C₄⋊C₈	—	73	1	no	—
981	C₄⋊C₈	—	73	2	no	—
982	C₄⋊C₈	—	73	2	no	—
983	C₄⋊C₈	—	73	2	no	—
984	C₄⋊C₈	—	73	1	no	—
985	#103	—	73	2	no	—
986	#103	—	73	2	no	—
987	#103	—	73	2	no	—
988	#103	—	73	2	no	—
989	#103	—	73	2	no	—
990	#103	—	73	2	no	—
991	#103	—	73	2	no	—
992	#102	—	73	2	no	—
993	#102	—	73	2	no	—
994	#102	—	73	2	no	—
995	#102	—	73	2	no	—
996	#102	—	73	2	no	—
997	#102	—	73	2	no	—
998	#102	—	73	2	no	—
999	#102	—	73	2	no	—
1000	#102	—	73	2	no	—
1001	C₂²⋊C₈	—	73	2	no	—
1002	C₂²⋊C₈	—	73	2	no	—
1003	C₂²⋊C₈	—	73	2	no	—
1004	#97	—	73	2	no	—
1005	#97	—	73	2	no	—
1006	C₄×C₈	—	73	2	no	—
1007	C₂⁴	—	146	2	no	—
1008	#41	—	2	2	no	—
1009	#41	—	4	2	no	—
1010	#41	—	4	1	no	—
1011	#41	—	4	4	no	—
1012	#41	—	292	2	no	—
1013	#41	—	292	2	no	—
1014	#41	—	292	2	no	—
1015	#41	—	292	2	no	—
1016	#41	—	584	2	no	—
1017	#41	—	584	2	no	—
1018	C₂×Q₈	—	2	1	no	—
1019	C₂×Q₈	—	2	1	no	—
1020	C₂×Q₈	—	2	1	no	—
1021	C₂×Q₈	—	2	2	no	—
1022	C₂×Q₈	—	2	2	no	—
1023	C₂×Q₈	—	4	1	no	—
1024	C₂×Q₈	—	4	1	no	—
1025	C₂×Q₈	—	73	2	no	—
1026	C₂×Q₈	—	146	1	no	—
1027	C₂×Q₈	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1028	C₂×Q₈	C₂³×D₇₃	1	1	yes	characteristic
1029	C₂×Q₈	C₂³×D₇₃	1	1	yes	characteristic
1030	C₂×Q₈	C₂³×D₇₃	1	1	yes	characteristic
1031	C₂×D₄	—	2	1	no	—
1032	C₂×D₄	—	2	1	no	—
1033	C₂×D₄	—	2	1	no	—
1034	C₂×D₄	—	292	4	no	—
1035	C₂×D₄	—	292	2	no	—
1036	C₂×D₄	—	292	2	no	—
1037	C₂×D₄	—	584	2	no	—
1038	C₂×D₄	—	73	2	no	—
1039	C₂×D₄	—	73	2	no	—
1040	C₂×D₄	—	146	2	no	—
1041	C₂×D₄	—	146	2	no	—
1042	C₂×D₄	—	146	2	no	—
1043	C₂×D₄	—	146	2	no	—
1044	C₂×D₄	—	146	1	no	—
1045	C₂×D₄	—	146	1	no	—
1046	C₂×D₄	—	146	2	no	—
1047	C₂×D₄	—	146	1	no	—
1048	C₂×D₄	—	146	1	no	—
1049	C₂×D₄	—	146	2	no	—
1050	C₂×D₄	—	146	2	no	—
1051	C₂×D₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1052	C₂×D₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1053	C₂×D₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1054	C₂×D₄	C₂³×D₇₃	1	1	yes	characteristic
1055	C₂²×C₄	—	2	1	no	—
1056	C₂²×C₄	—	2	1	no	—
1057	C₂²×C₄	—	2	1	no	—
1058	C₂²×C₄	—	2	1	no	—
1059	C₂²×C₄	—	2	1	no	—
1060	C₂²×C₄	—	2	1	no	—
1061	C₂²×C₄	—	2	1	no	—
1062	C₂²×C₄	—	146	2	no	—
1063	C₂²×C₄	—	146	2	no	—
1064	C₂²×C₄	—	146	2	no	—
1065	C₂²×C₄	—	146	2	no	—
1066	C₂²×C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1067	C₂²×C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1068	C₂²×C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1069	C₂²×C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1070	C₂²×C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1071	C₂²×C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1072	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1073	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1074	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1075	Q₁₆	—	292	2	no	—
1076	Q₁₆	—	292	2	no	—
1077	Q₁₆	—	146	4	no	—
1078	SD₁₆	—	292	2	no	—
1079	SD₁₆	—	292	2	no	—
1080	SD₁₆	—	292	2	no	—
1081	SD₁₆	—	292	2	no	—
1082	SD₁₆	—	292	2	no	—
1083	SD₁₆	—	146	4	no	—
1084	SD₁₆	—	146	4	no	—
1085	D₈	—	292	2	no	—
1086	D₈	—	292	2	no	—
1087	M₁₆	—	292	2	no	—
1088	C₂×C₈	—	292	2	no	—
1089	C₂×C₈	—	292	2	no	—
1090	C₂×C₈	—	73	2	no	—
1091	C₂×C₈	—	73	2	no	—
1092	C₂×C₈	—	73	2	no	—
1093	C₂×C₈	—	73	2	no	—
1094	C₄⋊C₄	—	2	1	no	—
1095	C₄⋊C₄	—	2	1	no	—
1096	C₄⋊C₄	—	2	1	no	—
1097	C₄⋊C₄	—	2	1	no	—
1098	C₄⋊C₄	—	2	1	no	—
1099	C₄⋊C₄	—	2	1	no	—
1100	C₄⋊C₄	—	2	1	no	—
1101	C₄⋊C₄	—	2	1	no	—
1102	C₄⋊C₄	—	2	1	no	—
1103	C₄⋊C₄	—	2	1	no	—
1104	C₄⋊C₄	—	2	1	no	—
1105	C₄⋊C₄	—	2	1	no	—
1106	C₄⋊C₄	—	2	1	no	—
1107	C₄⋊C₄	—	2	1	no	—
1108	C₄⋊C₄	—	2	1	no	—
1109	C₄⋊C₄	—	2	1	no	—
1110	C₄⋊C₄	—	2	1	no	—
1111	C₄⋊C₄	—	2	1	no	—
1112	C₄⋊C₄	—	2	1	no	—
1113	C₄⋊C₄	—	2	1	no	—
1114	C₄⋊C₄	—	2	1	no	—
1115	C₄⋊C₄	—	73	2	no	—
1116	C₄⋊C₄	—	146	2	no	—
1117	C₄⋊C₄	—	146	2	no	—
1118	C₄⋊C₄	—	146	1	no	—
1119	C₄⋊C₄	—	146	1	no	—
1120	C₄⋊C₄	—	146	1	no	—
1121	C₄⋊C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1122	C₄⋊C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1123	C₄⋊C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1124	C₄⋊C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1125	C₄⋊C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1126	C₄⋊C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1127	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1128	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1129	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1130	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1131	C₂²⋊C₄	—	2	1	no	—
1132	C₂²⋊C₄	—	2	1	no	—
1133	C₂²⋊C₄	—	2	1	no	—
1134	C₂²⋊C₄	—	2	1	no	—
1135	C₂²⋊C₄	—	2	1	no	—
1136	C₂²⋊C₄	—	2	1	no	—
1137	C₂²⋊C₄	—	2	1	no	—
1138	C₂²⋊C₄	—	2	1	no	—
1139	C₂²⋊C₄	—	2	1	no	—
1140	C₂²⋊C₄	—	2	1	no	—
1141	C₂²⋊C₄	—	2	1	no	—
1142	C₂²⋊C₄	—	2	1	no	—
1143	C₂²⋊C₄	—	2	1	no	—
1144	C₂²⋊C₄	—	146	2	no	—
1145	C₂²⋊C₄	—	146	2	no	—
1146	C₂²⋊C₄	—	146	2	no	—
1147	C₂²⋊C₄	—	146	2	no	—
1148	C₂²⋊C₄	—	146	2	no	—
1149	C₂²⋊C₄	—	146	2	no	—
1150	C₂²⋊C₄	—	146	2	no	—
1151	C₂²⋊C₄	—	146	2	no	—
1152	C₂²⋊C₄	—	146	2	no	—
1153	C₂²⋊C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1154	C₂²⋊C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1155	C₂²⋊C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1156	C₂²⋊C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1157	C₂²⋊C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1158	C₂²⋊C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1159	C₄²	—	2	1	no	—
1160	C₄²	—	2	1	no	—
1161	C₄²	—	2	1	no	—
1162	C₄²	—	2	1	no	—
1163	C₄²	—	2	1	no	—
1164	C₄²	—	2	1	no	—
1165	C₄²	—	2	1	no	—
1166	C₄²	—	2	1	no	—
1167	C₄²	—	2	1	no	—
1168	C₄²	—	146	2	no	—
1169	C₄²	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1170	C₄²	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1171	C₄²	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1172	C₄²	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1173	C₄²	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1174	C₄²	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1175	C₄²	C₂³×D₇₃	1	1	yes	characteristic
1176	C₄²	C₂³×D₇₃	1	1	yes	characteristic
1177	C₄²	C₂³×D₇₃	1	1	yes	characteristic
1178	C₄²	C₂³×D₇₃	1	1	yes	characteristic
1179	C₂³	—	2	1	no	—
1180	C₂³	—	292	4	no	—
1181	C₂³	—	584	2	no	—
1182	C₂³	—	584	2	no	—
1183	C₂³	—	146	2	no	—
1184	C₂³	—	146	2	no	—
1185	C₂³	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1186	C₂³	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1187	C₂³	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1188	Q₈	—	2	1	no	—
1189	Q₈	—	2	1	no	—
1190	Q₈	—	2	1	no	—
1191	Q₈	—	2	1	no	—
1192	Q₈	—	2	1	no	—
1193	Q₈	—	4	1	no	—
1194	Q₈	—	4	2	no	—
1195	Q₈	—	4	2	no	—
1196	Q₈	—	4	2	no	—
1197	Q₈	—	292	2	no	—
1198	Q₈	—	146	2	no	—
1199	Q₈	—	146	2	no	—
1200	Q₈	#14556637	1	2	yes	—
1201	D₄	—	2	2	no	—
1202	D₄	—	2	2	no	—
1203	D₄	—	2	1	no	—
1204	D₄	—	2	1	no	—
1205	D₄	—	4	1	no	—
1206	D₄	—	4	2	no	—
1207	D₄	—	4	2	no	—
1208	D₄	—	4	2	no	—
1209	D₄	—	292	2	no	—
1210	D₄	—	292	2	no	—
1211	D₄	—	292	4	no	—
1212	D₄	—	292	2	no	—
1213	D₄	—	292	2	no	—
1214	D₄	—	584	2	no	—
1215	D₄	—	584	2	no	—
1216	D₄	—	584	2	no	—
1217	D₄	—	584	2	no	—
1218	D₄	—	584	2	no	—
1219	D₄	—	584	2	no	—
1220	D₄	—	146	2	no	—
1221	D₄	—	146	2	no	—
1222	D₄	—	146	2	no	—
1223	D₄	—	146	2	no	—
1224	C₂×C₄	—	2	2	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	2	2	no	—
1227	C₂×C₄	—	2	2	no	—
1228	C₂×C₄	—	2	2	no	—
1229	C₂×C₄	—	2	1	no	—
1230	C₂×C₄	—	2	1	no	—
1231	C₂×C₄	—	2	1	no	—
1232	C₂×C₄	—	2	1	no	—
1233	C₂×C₄	—	2	1	no	—
1234	C₂×C₄	—	2	1	no	—
1235	C₂×C₄	—	2	1	no	—
1236	C₂×C₄	—	2	1	no	—
1237	C₂×C₄	—	2	1	no	—
1238	C₂×C₄	—	2	1	no	—
1239	C₂×C₄	—	2	1	no	—
1240	C₂×C₄	—	2	1	no	—
1241	C₂×C₄	—	4	1	no	—
1242	C₂×C₄	—	4	1	no	—
1243	C₂×C₄	—	4	2	no	—
1244	C₂×C₄	—	4	2	no	—
1245	C₂×C₄	—	4	2	no	—
1246	C₂×C₄	—	4	2	no	—
1247	C₂×C₄	—	4	2	no	—
1248	C₂×C₄	—	4	2	no	—
1249	C₂×C₄	—	4	2	no	—
1250	C₂×C₄	—	584	2	no	—
1251	C₂×C₄	—	584	2	no	—
1252	C₂×C₄	—	584	2	no	—
1253	C₂×C₄	—	584	2	no	—
1254	C₂×C₄	—	146	2	no	—
1255	C₂×C₄	—	146	2	no	—
1256	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1257	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1258	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1259	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1260	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1261	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1262	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1263	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1264	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1265	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1266	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1267	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1268	C₈	—	146	2	no	—
1269	C₈	—	146	2	no	—
1270	C₈	—	146	2	no	—
1271	C₈	—	146	2	no	—
1272	C₂²	—	2	1	no	—
1273	C₂²	—	2	1	no	—
1274	C₂²	—	2	1	no	—
1275	C₂²	—	2	1	no	—
1276	C₂²	—	2	1	no	—
1277	C₂²	—	2	1	no	—
1278	C₂²	—	2	1	no	—
1279	C₂²	—	2	1	no	—
1280	C₂²	—	4	1	no	—
1281	C₂²	—	4	1	no	—
1282	C₂²	—	4	1	no	—
1283	C₂²	—	292	2	no	—
1284	C₂²	—	292	2	no	—
1285	C₂²	—	292	2	no	—
1286	C₂²	—	292	2	no	—
1287	C₂²	—	292	2	no	—
1288	C₂²	—	292	2	no	—
1289	C₂²	—	1168	4	no	—
1290	C₂²	#17989385	1	2	yes	—
1291	C₂²	C₂³×C₂²⋊D₇₃	1	1	yes	characteristic
1292	C₄	—	2	1	no	—
1293	C₄	—	2	1	no	—
1294	C₄	—	2	1	no	—
1295	C₄	—	2	2	no	—
1296	C₄	—	2	1	no	—
1297	C₄	—	2	1	no	—
1298	C₄	—	2	1	no	—
1299	C₄	—	2	1	no	—
1300	C₄	—	2	1	no	—
1301	C₄	—	2	1	no	—
1302	C₄	—	2	1	no	—
1303	C₄	—	4	1	no	—
1304	C₄	—	4	1	no	—
1305	C₄	—	4	1	no	—
1306	C₄	—	4	1	no	—
1307	C₄	—	4	1	no	—
1308	C₄	—	4	1	no	—
1309	C₄	—	292	2	no	—
1310	C₄	—	292	2	no	—
1311	C₄	#17989395	1	2	yes	—
1312	C₄	C₂×#14556637	1	1	yes	characteristic
1313	C₄	#17989423	1	1	yes	characteristic
1314	C₂	—	2	2	no	—
1315	C₂	—	4	1	no	—
1316	C₂	—	4	1	no	—
1317	C₂	—	8	1	no	—
1318	C₂	—	584	2	no	—
1319	C₂	—	584	2	no	—
1320	C₂	#22623600	1	1	yes	characteristic
1321	C₂	C₂×#17989385	1	1	yes	characteristic
1322	C₂	C₂×#17989395	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂³×C₂²⋊D₇₃
commutator, cosocle	C₂×C₄×C₇₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₇₃
Fitting	C₇₃×#3482	C₂
socle	C₂²×C₇₃	C₂³×D₄
hypercenter	#3482	D₇₃
hypocenter	C₇₃	#61981
LCS	G ▷ C₂×C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ C₄×#41 ◁ #3482

Complements

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

N	H ≅ G/N	type
1. #22623807	C₂	semidirect
2. #22622997	C₂	semidirect
3. #22622699	C₂	semidirect
4. #22622051	C₂	semidirect
5. #22621886	C₂	semidirect
6. #22621760	C₂	semidirect
7. #22621639	C₂	semidirect
8. #22621517	C₂	semidirect
9. #22621442	C₂	semidirect
10. #22621293	C₂	semidirect
11. #22621268	C₂	semidirect
12. #22621243	C₂	semidirect
13. #22620946	C₂	semidirect
14. #22620938	C₂	semidirect
15. #22620903	C₂	semidirect
16. #22620082	C₂	semidirect
17. #22620061	C₂	semidirect
18. #22619962	C₂	semidirect
19. #22619403	C₂	semidirect
20. #22619386	C₂	semidirect
21. C₂×#17988787	C₂	semidirect
22. #22619056	C₂	semidirect
23. C₇₃×#3482	C₂	semidirect
24. C₂×#14556622	C₂²	semidirect
25. C₂×#14556611	C₂²	semidirect
45. #17988979	C₂²	semidirect
47. #17988969	C₂²	semidirect
49. #17988949	C₂²	semidirect
50. #17988944	C₂²	semidirect
52. #17988911	C₂²	semidirect
53. #17988905	C₂²	semidirect
54. #17988891	C₂²	semidirect
55. #17988884	C₂²	semidirect
56. #17988874	C₂²	semidirect
57. #17988872	C₂²	semidirect
58. #17988872	C₂²	semidirect
59. #17988872	C₂²	semidirect
60. #17988867	C₂²	semidirect
61. #17988838	C₂²	semidirect
62. #17988835	C₂²	semidirect
64. #17988818	C₂²	semidirect
65. #17988818	C₂²	semidirect
67. #17988809	C₂²	semidirect
68. #17988809	C₂²	semidirect
69. #17988809	C₂²	semidirect
70. #17988806	C₂²	semidirect
71. #17988802	C₂²	semidirect
72. #17988799	C₂²	semidirect
73. #17988797	C₂²	semidirect
74. #17988797	C₂²	semidirect
75. #17988797	C₂²	semidirect
76. #17988792	C₂²	semidirect
77. #17988789	C₂²	semidirect
88. #17988747	C₂²	semidirect
89. #17988747	C₂²	semidirect
90. #17988747	C₂²	semidirect
93. #17988732	C₂²	semidirect
94. #17988730	C₂²	semidirect
95. #17988726	C₂²	semidirect
97. #17988718	C₂²	semidirect
98. #17988697	C₂²	semidirect
99. #17988692	C₂²	semidirect
100. #17988692	C₂²	semidirect
101. #17988685	C₂²	semidirect
102. C₄×#11924015	C₂²	semidirect
103. C₄×#11924015	C₂²	semidirect
105. #17988659	C₂²	semidirect
108. #17988644	C₂²	semidirect
109. #17988640	C₂²	semidirect
110. #17988611	C₂²	semidirect
112. C₂×C₄⋊#10596831	C₂²	semidirect
113. #17988586	C₂²	semidirect
114. #17988581	C₂²	semidirect
116. #557×C₇₃	C₂²	semidirect
118. #556×C₇₃	C₂²	semidirect
122. #552×C₇₃	C₂²	semidirect
125. #548×C₇₃	C₂²	semidirect
129. #533×C₇₃	C₂²	semidirect
133. #529×C₇₃	C₂²	semidirect
136. C₄×#41×C₇₃	C₂²	semidirect
138. C₂×C₄×Q₈×C₇₃	C₂²	semidirect
663. #3482	D₇₃	semidirect
685. C₇₃	#61981	semidirect
691. #557	C₂×D₇₃	semidirect
693. #556	C₂×D₇₃	semidirect
697. #552	C₂×D₇₃	semidirect
702. #548	C₂×D₇₃	semidirect
714. #533	C₂×D₇₃	semidirect
723. #529	C₂×D₇₃	semidirect
727. C₄×#41	C₂×D₇₃	semidirect
729. C₂×C₄×Q₈	C₂×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#22623807	2
#22622997	2
#22622699	2
#22622051	2
#22621886	2
#22621760	2
#22621639	2
#22621517	2
#22621442	2
#22621293	2
#22621268	2
#22621243	2
#22620946	2
#22620938	2
#22620903	2
#22620082	2
#22620061	2
#22619962	2
#22619403	2
#22619386	2
C₂×#17988787	2
#22619056	2
C₇₃×#3482	2
#61981	73