Subgroups — #33964813

Order 18688.

1898 conjugacy classes of subgroups.

The subgroup lattice has 1318 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#17989283	C₂	1	1	yes	maximal, characteristic, complemented
2	#22622531	C₂	1	2	yes	maximal, complemented
3	#22622491	C₂	1	2	yes	maximal, complemented
4	#22622476	C₂	1	2	yes	maximal, complemented
5	#22622431	C₂	1	2	yes	maximal, complemented
6	#22622410	C₂	1	2	yes	maximal, complemented
7	#22622401	C₂	1	2	yes	maximal, complemented
8	#22622327	C₂	1	2	yes	maximal, complemented
9	#22622310	C₂	1	2	yes	maximal, complemented
10	#22620484	C₂	1	1	yes	maximal, characteristic, complemented
11	#22619871	C₂	1	1	yes	maximal, characteristic, complemented
12	#22619871	C₂	1	1	yes	maximal, characteristic, complemented
13	#22619860	C₂	1	1	yes	maximal, characteristic, complemented
14	#22619851	C₂	1	1	yes	maximal, characteristic, complemented
15	#22619753	C₂	1	1	yes	maximal, characteristic, complemented
16	#22619724	C₂	1	1	yes	maximal, characteristic, complemented
17	#22619552	C₂	1	1	yes	maximal, characteristic, complemented
18	#22619552	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×#14556616	C₂	1	1	yes	maximal, characteristic, complemented
20	D₄×#11924012	C₂	1	1	yes	maximal, characteristic, complemented
21	#22618520	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#17988630	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇₃×#3475	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#14556616	C₂²	1	1	yes	characteristic
25	C₂²×#11924012	C₂²	1	1	yes	characteristic
26	C₂²×#11924012	C₂²	1	1	yes	characteristic
27	#17989283	—	2	1	no	—
28	#17989283	—	2	1	no	—
29	#17989283	—	2	1	no	—
30	#17989283	—	2	1	no	—
31	#17989283	C₂²	1	2	yes	—
32	#17989283	C₂²	1	2	yes	—
33	#17989283	C₂²	1	2	yes	—
34	#17989283	C₂²	1	2	yes	—
35	C₂×#14556586	—	2	1	no	—
36	C₂×#14556583	C₂²	1	1	yes	characteristic
37	C₂×#14556573	—	2	1	no	—
38	C₂×#14556565	C₂²	1	1	yes	characteristic
39	C₂×#14556565	C₂²	1	1	yes	characteristic
40	C₂×#14556563	—	2	1	no	—
41	C₂×C₄×D₂₉₂	C₂²	1	1	yes	characteristic
42	C₂×#14556551	—	2	1	no	—
43	C₂×#14556550	C₂²	1	1	yes	characteristic
44	C₂²×C₄⋊Dic₇₃	C₂²	1	1	yes	characteristic
45	#17988993	C₂²	1	2	yes	complemented
46	#17988993	C₂²	1	2	yes	complemented
47	#17988986	C₂²	1	2	yes	complemented
48	#17988986	C₂²	1	2	yes	complemented
49	#17988925	C₂²	1	2	yes	complemented
50	#17988925	C₂²	1	2	yes	complemented
51	#17988920	C₂²	1	2	yes	complemented
52	#17988915	C₂²	1	2	yes	complemented
53	#17988911	C₂²	1	2	yes	complemented
54	#17988911	C₂²	1	2	yes	complemented
55	#17988911	C₂²	1	2	yes	complemented
56	#17988911	C₂²	1	2	yes	complemented
57	#17988908	C₂²	1	2	yes	complemented
58	#17988908	C₂²	1	2	yes	complemented
59	#17988905	C₂²	1	2	yes	complemented
60	#17988905	C₂²	1	2	yes	complemented
61	#17988903	C₂²	1	2	yes	complemented
62	#17988900	C₂²	1	2	yes	complemented
63	#17988900	C₂²	1	2	yes	complemented
64	#17988898	C₂²	1	2	yes	complemented
65	#17988894	C₂²	1	2	yes	complemented
66	#17988894	C₂²	1	2	yes	complemented
67	#17988887	C₂²	1	2	yes	complemented
68	#17988887	C₂²	1	2	yes	complemented
69	#17988884	C₂²	1	2	yes	complemented
70	#17988884	C₂²	1	2	yes	complemented
71	#17988874	C₂²	1	2	yes	complemented
72	#17988864	C₂²	1	2	yes	complemented
73	#17988838	C₂²	1	2	yes	complemented
74	#17988838	C₂²	1	2	yes	complemented
75	#17988835	C₂²	1	2	yes	complemented
76	#17988835	C₂²	1	2	yes	complemented
77	#17988821	C₂²	1	2	yes	complemented
78	#17988821	C₂²	1	2	yes	complemented
79	#17988818	C₂²	1	2	yes	complemented
80	#17988818	C₂²	1	2	yes	complemented
81	#17988697	C₂²	1	2	yes	complemented
82	#17988685	C₂²	1	2	yes	complemented
83	C₄×#11924015	C₂²	1	2	yes	complemented
84	C₄×#11924013	C₂²	1	2	yes	complemented
85	#17988665	C₂²	1	2	yes	complemented
86	#17988659	C₂²	1	2	yes	complemented
87	#17988659	C₂²	1	2	yes	complemented
88	D₄×#10596831	C₂²	1	2	yes	complemented
89	#17988630	C₂²	1	1	yes	characteristic
90	#17988630	C₂²	1	1	yes	characteristic
91	#17988630	C₂²	1	1	yes	characteristic
92	#17988630	C₂²	1	1	yes	characteristic
93	#17988630	C₂²	1	1	yes	characteristic
94	#17988630	C₂²	1	1	yes	characteristic
95	#17988630	C₂²	1	1	yes	characteristic
96	#17988630	C₂²	1	1	yes	characteristic
97	#17988630	C₂²	1	1	yes	characteristic
98	#17988630	C₂²	1	2	yes	complemented
99	#17988630	C₂²	1	2	yes	complemented
100	#17988627	C₂²	1	2	yes	complemented
101	#17988627	C₂²	1	2	yes	complemented
102	#17988623	C₂²	1	2	yes	complemented
103	#17988623	C₂²	1	2	yes	complemented
104	C₂×#14556524	C₂²	1	2	yes	complemented
105	C₂×#14556522	C₂²	1	2	yes	complemented
106	#17988611	C₂²	1	1	yes	characteristic
107	#17988591	C₂²	1	1	yes	characteristic
108	#17988591	C₂²	1	1	yes	characteristic
109	#17988591	C₂²	1	1	yes	characteristic
110	#17988588	C₂²	1	1	yes	characteristic
111	#17988588	C₂²	1	1	yes	characteristic
112	#17988588	C₂²	1	1	yes	characteristic
113	#17988551	C₂²	1	1	yes	characteristic
114	#17988551	C₂²	1	1	yes	characteristic
115	C₄×#11924012	C₂²	1	1	yes	characteristic
116	#556×C₇₃	C₂²	1	1	yes	characteristic, complemented
117	#555×C₇₃	C₂²	1	1	yes	characteristic, complemented
118	#554×C₇₃	C₂²	1	1	yes	characteristic, complemented
119	#553×C₇₃	C₂²	1	1	yes	characteristic, complemented
120	#553×C₇₃	C₂²	1	1	yes	characteristic, complemented
121	#552×C₇₃	—	2	1	no	—
122	#552×C₇₃	C₂²	1	1	yes	characteristic, complemented
123	#552×C₇₃	C₂²	1	1	yes	characteristic, complemented
124	#551×C₇₃	—	2	1	no	—
125	#551×C₇₃	—	2	1	no	—
126	#547×C₇₃	C₂²	1	1	yes	characteristic, complemented
127	#546×C₇₃	—	2	1	no	—
128	#533×C₇₃	C₂²	1	1	yes	characteristic
129	#529×C₇₃	—	2	1	no	—
130	#529×C₇₃	—	2	1	no	—
131	#529×C₇₃	—	2	1	no	—
132	#525×C₇₃	C₂²	1	1	yes	characteristic
133	#525×C₇₃	C₂²	1	1	yes	characteristic
134	C₄×#41×C₇₃	—	2	1	no	—
135	C₄×#41×C₇₃	C₂²	1	1	yes	characteristic
136	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
137	C₂×#117×C₇₃	C₂²	1	1	yes	characteristic
138	C₂×#117×C₇₃	C₂²	1	1	yes	characteristic
139	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
140	C₂²×C₂²⋊D₇₃	—	2	1	no	—
141	C₂²×C₂²⋊D₇₃	—	2	1	no	—
142	C₂³×Dic₇₃	—	2	1	no	—
143	C₂²×C₄×D₇₃	—	2	1	no	—
144	#14556616	—	2	4	no	—
145	C₂×#11924015	C₂³	1	2	yes	—
146	C₂×#11924013	C₂³	1	2	yes	—
147	C₂×#11924012	—	2	4	no	—
148	C₂×#11924012	—	2	4	no	—
149	C₂×#11924012	C₂³	1	1	yes	characteristic
150	C₂×#11924012	C₂³	1	1	yes	characteristic
151	C₂×#11924012	C₂³	1	2	yes	—
152	C₂×#11924012	C₂³	1	1	yes	characteristic
153	C₂×#11924012	C₂³	1	2	yes	—
154	C₂×#11924012	C₂³	1	1	yes	characteristic
155	C₂²×#10596831	C₂³	1	2	yes	—
156	C₂²×#10596831	C₂³	1	2	yes	—
157	#14556586	—	2	2	no	—
158	#14556586	—	2	2	no	—
159	#14556586	—	2	2	no	—
160	#14556586	—	2	2	no	—
161	#14556583	—	2	1	no	—
162	#14556583	—	2	1	no	—
163	#14556583	C₂³	1	2	yes	—
164	#14556583	C₂³	1	2	yes	—
165	#14556573	—	2	2	no	—
166	#14556573	—	2	2	no	—
167	#14556573	—	2	2	no	—
168	#14556573	—	2	2	no	—
169	#14556565	—	2	1	no	—
170	#14556565	—	2	1	no	—
171	#14556565	—	2	1	no	—
172	#14556565	—	2	1	no	—
173	#14556565	C₂³	1	2	yes	—
174	#14556565	C₂³	1	2	yes	—
175	#14556565	C₂³	1	2	yes	—
176	#14556565	C₂³	1	2	yes	—
177	#14556563	—	2	2	no	—
178	#14556563	—	2	2	no	—
179	#14556563	—	2	2	no	—
180	#14556563	—	2	2	no	—
181	C₄×D₂₉₂	—	2	1	no	—
182	C₄×D₂₉₂	—	2	1	no	—
183	C₄×D₂₉₂	C₂³	1	2	yes	—
184	C₄×D₂₉₂	C₂³	1	2	yes	—
185	#14556551	—	2	2	no	—
186	#14556551	—	2	2	no	—
187	#14556551	—	2	2	no	—
188	#14556551	—	2	2	no	—
189	#14556550	—	2	1	no	—
190	#14556550	—	2	1	no	—
191	#14556550	C₂³	1	2	yes	—
192	#14556550	C₂³	1	2	yes	—
193	C₂×C₄⋊Dic₇₃	—	2	1	no	—
194	C₂×C₄⋊Dic₇₃	—	2	1	no	—
195	C₂×C₄⋊Dic₇₃	—	2	1	no	—
196	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
197	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
198	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
199	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
200	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
201	C₂×#11924007	—	2	1	no	—
202	C₂×#11924007	—	2	1	no	—
203	C₂×C₂²⋊Dic₇₃	—	2	1	no	—
204	C₂×#11924005	—	2	1	no	—
205	C₂×#11924005	—	2	1	no	—
206	C₂×#11924005	—	2	1	no	—
207	C₂×C₄×Dic₇₃	—	2	1	no	—
208	#14556524	C₂³	1	2	yes	—
209	#14556524	C₂³	1	2	yes	—
210	#14556524	C₂³	1	2	yes	—
211	#14556524	C₂³	1	2	yes	—
212	#14556524	C₂³	1	2	yes	—
213	#14556524	C₂³	1	2	yes	—
214	#14556524	C₂³	1	2	yes	—
215	#14556524	C₂³	1	2	yes	—
216	#14556524	C₂³	1	2	yes	—
217	#14556522	C₂³	1	2	yes	—
218	#14556522	C₂³	1	2	yes	—
219	#14556522	C₂³	1	2	yes	—
220	#14556522	C₂³	1	2	yes	—
221	#14556522	C₂³	1	2	yes	—
222	#14556522	C₂³	1	2	yes	—
223	#14556522	C₂³	1	2	yes	—
224	#14556522	C₂³	1	2	yes	—
225	#14556522	C₂³	1	2	yes	—
226	C₄⋊#10596831	C₂³	1	2	yes	—
227	C₄⋊#10596831	C₂³	1	2	yes	—
228	#14556515	C₂³	1	2	yes	—
229	#14556515	C₂³	1	2	yes	—
230	#14556515	C₂³	1	2	yes	—
231	#14556512	C₂³	1	2	yes	—
232	#14556512	C₂³	1	2	yes	—
233	#14556512	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	C₂²⋊#10596831	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	C₂³	1	1	yes	characteristic
248	C₂²×D₄×C₇₃	D₄	1	1	yes	characteristic
249	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
250	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
251	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
252	C₄⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
253	#126×C₇₃	—	2	1	no	—
254	#126×C₇₃	—	2	1	no	—
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	#125×C₇₃	—	2	1	no	—
260	#125×C₇₃	—	2	1	no	—
261	#125×C₇₃	—	2	1	no	—
262	#125×C₇₃	C₂³	1	1	yes	characteristic
263	#125×C₇₃	C₂³	1	1	yes	characteristic
264	#124×C₇₃	—	2	1	no	—
265	#124×C₇₃	—	2	1	no	—
266	#124×C₇₃	—	2	1	no	—
267	#123×C₇₃	—	2	1	no	—
268	#123×C₇₃	—	2	1	no	—
269	#123×C₇₃	—	2	1	no	—
270	#123×C₇₃	—	2	1	no	—
271	#123×C₇₃	—	2	1	no	—
272	#123×C₇₃	—	2	1	no	—
273	#123×C₇₃	—	2	1	no	—
274	#123×C₇₃	—	2	1	no	—
275	C₂²⋊Q₈×C₇₃	—	2	1	no	—
276	C₂²⋊Q₈×C₇₃	—	2	1	no	—
277	C₂²⋊Q₈×C₇₃	—	2	1	no	—
278	C₂²⋊Q₈×C₇₃	—	2	1	no	—
279	C₂²⋊Q₈×C₇₃	—	2	1	no	—
280	C₂²⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
281	C₂²⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
282	C₂²⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
283	C₂²⋊Q₈×C₇₃	C₂³	1	1	yes	characteristic
284	#121×C₇₃	—	2	1	no	—
285	#121×C₇₃	—	2	1	no	—
286	#121×C₇₃	—	2	1	no	—
287	#121×C₇₃	C₂³	1	1	yes	characteristic
288	#121×C₇₃	C₂³	1	1	yes	characteristic
289	#121×C₇₃	C₂³	1	1	yes	characteristic
290	#121×C₇₃	C₂³	1	1	yes	characteristic
291	#120×C₇₃	—	2	1	no	—
292	#120×C₇₃	—	2	1	no	—
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	C₂³	1	1	yes	characteristic
297	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
298	C₄×D₄×C₇₃	—	2	1	no	—
299	C₄×D₄×C₇₃	—	2	1	no	—
300	C₄×D₄×C₇₃	—	2	1	no	—
301	C₄×D₄×C₇₃	—	2	1	no	—
302	C₄×D₄×C₇₃	—	2	1	no	—
303	C₄×D₄×C₇₃	—	2	1	no	—
304	C₄×D₄×C₇₃	—	2	1	no	—
305	C₄×D₄×C₇₃	—	2	1	no	—
306	C₄×D₄×C₇₃	—	2	1	no	—
307	C₄×D₄×C₇₃	D₄	1	1	yes	characteristic
308	C₄×D₄×C₇₃	D₄	1	1	yes	characteristic
309	C₄×D₄×C₇₃	D₄	1	1	yes	characteristic
310	C₄×D₄×C₇₃	D₄	1	1	yes	characteristic
311	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
312	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
313	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
314	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
315	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
316	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
317	#117×C₇₃	—	2	1	no	—
318	#117×C₇₃	—	2	1	no	—
319	#117×C₇₃	—	2	1	no	—
320	#117×C₇₃	—	2	1	no	—
321	#117×C₇₃	—	2	1	no	—
322	#117×C₇₃	—	2	1	no	—
323	#117×C₇₃	—	2	1	no	—
324	#117×C₇₃	—	2	1	no	—
325	#117×C₇₃	C₂³	1	1	yes	characteristic
326	#117×C₇₃	C₂³	1	1	yes	characteristic
327	#117×C₇₃	C₂³	1	1	yes	characteristic
328	#117×C₇₃	C₂³	1	1	yes	characteristic
329	#117×C₇₃	C₂³	1	1	yes	characteristic
330	#117×C₇₃	C₂³	1	1	yes	characteristic
331	#117×C₇₃	C₂³	1	1	yes	characteristic
332	C₂×C₄⋊C₄×C₇₃	D₄	1	1	yes	characteristic
333	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
334	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
335	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
336	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
337	C₂×C₂²⋊C₄×C₇₃	—	2	1	no	—
338	C₂×C₂²⋊C₄×C₇₃	—	2	1	no	—
339	C₂×C₂²⋊C₄×C₇₃	D₄	1	1	yes	characteristic
340	C₂×C₂²⋊C₄×C₇₃	D₄	1	1	yes	characteristic
341	C₂×C₄²×C₇₃	—	2	1	no	—
342	C₂×C₄²×C₇₃	—	2	1	no	—
343	C₂×C₄²×C₇₃	—	2	1	no	—
344	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
345	C₂³×D₇₃	—	2	1	no	—
346	C₂×D₂₉₂	—	2	2	no	—
347	C₂×D₂₉₂	—	2	2	no	—
348	C₂×D₂₉₂	—	2	1	no	—
349	C₂×D₂₉₂	C₂⁴	1	2	yes	—
350	C₂×C₂²⋊D₇₃	—	2	2	no	—
351	C₂×C₂²⋊D₇₃	—	2	2	no	—
352	C₂×C₂²⋊D₇₃	—	2	2	no	—
353	C₂×C₂²⋊D₇₃	—	2	2	no	—
354	C₂×C₂²⋊D₇₃	—	4	4	no	—
355	C₂×C₂²⋊D₇₃	—	8	2	no	—
356	C₂²×Dic₇₃	—	2	1	no	—
357	C₂²×Dic₇₃	—	2	1	no	—
358	C₂²×Dic₇₃	—	2	1	no	—
359	C₂²×Dic₇₃	—	2	2	no	—
360	C₂²×Dic₇₃	—	2	2	no	—
361	C₂²×Dic₇₃	—	8	2	no	—
362	C₂×C₄×D₇₃	—	2	2	no	—
363	C₂×C₄×D₇₃	—	2	2	no	—
364	C₂×C₄×D₇₃	—	8	2	no	—
365	#11924015	—	2	4	no	—
366	#11924013	—	2	4	no	—
367	#11924012	—	2	2	no	—
368	#11924012	—	2	2	no	—
369	#11924012	—	2	2	no	—
370	#11924012	—	2	4	no	—
371	#11924012	—	2	4	no	—
372	#11924012	#41	1	4	yes	complemented
373	C₂×#10596831	—	2	4	no	—
374	C₂×#10596831	—	2	4	no	—
375	C₂×#10596831	C₂⁴	1	2	yes	—
376	C₂×#10596831	C₂⁴	1	2	yes	—
377	C₂×#10596831	C₂⁴	1	2	yes	—
378	C₂×#10596831	C₂⁴	1	2	yes	—
379	C₄⋊Dic₇₃	—	2	1	no	—
380	C₄⋊Dic₇₃	—	2	1	no	—
381	C₄⋊Dic₇₃	—	2	2	no	—
382	C₄⋊Dic₇₃	—	2	2	no	—
383	C₄⋊Dic₇₃	—	2	1	no	—
384	C₄⋊Dic₇₃	C₂⁴	1	2	yes	—
385	C₄⋊Dic₇₃	C₂⁴	1	2	yes	—
386	C₄⋊Dic₇₃	C₂⁴	1	2	yes	—
387	#11924007	—	2	2	no	—
388	#11924007	—	2	2	no	—
389	#11924007	—	2	2	no	—
390	#11924007	—	2	2	no	—
391	C₂²⋊Dic₇₃	—	2	2	no	—
392	C₂²⋊Dic₇₃	—	2	2	no	—
393	#11924005	—	2	2	no	—
394	#11924005	—	2	2	no	—
395	#11924005	—	2	2	no	—
396	#11924005	—	2	2	no	—
397	#11924005	—	2	2	no	—
398	#11924005	—	2	2	no	—
399	C₄×Dic₇₃	—	2	2	no	—
400	C₄×Dic₇₃	—	2	2	no	—
401	C₂⁴×C₇₃	C₂×D₄	1	1	yes	characteristic
402	C₂⁴×C₇₃	C₂×D₄	1	1	yes	characteristic
403	#41×C₇₃	—	2	2	no	—
404	#41×C₇₃	—	2	2	no	—
405	#41×C₇₃	—	4	4	no	—
406	C₂×Q₈×C₇₃	—	2	1	no	—
407	C₂×Q₈×C₇₃	—	2	1	no	—
408	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
409	C₂×D₄×C₇₃	—	2	1	no	—
410	C₂×D₄×C₇₃	—	2	1	no	—
411	C₂×D₄×C₇₃	—	2	1	no	—
412	C₂×D₄×C₇₃	—	2	1	no	—
413	C₂×D₄×C₇₃	—	2	1	no	—
414	C₂×D₄×C₇₃	—	4	2	no	—
415	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
416	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
417	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
418	C₂×D₄×C₇₃	C₂×D₄	1	1	yes	characteristic
419	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
420	C₂²×C₄×C₇₃	—	2	2	no	—
421	C₂²×C₄×C₇₃	—	2	2	no	—
422	C₂²×C₄×C₇₃	—	2	2	no	—
423	C₂²×C₄×C₇₃	—	2	2	no	—
424	C₂²×C₄×C₇₃	—	2	1	no	—
425	C₂²×C₄×C₇₃	—	2	1	no	—
426	C₂²×C₄×C₇₃	—	2	1	no	—
427	C₂²×C₄×C₇₃	—	2	1	no	—
428	C₂²×C₄×C₇₃	—	2	1	no	—
429	C₂²×C₄×C₇₃	—	2	1	no	—
430	C₂²×C₄×C₇₃	—	2	1	no	—
431	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
432	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
433	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
434	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
435	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
436	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
437	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
438	C₂²×C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
439	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
440	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
441	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
442	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
443	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
444	C₄⋊C₄×C₇₃	—	2	1	no	—
445	C₄⋊C₄×C₇₃	—	2	1	no	—
446	C₄⋊C₄×C₇₃	—	2	1	no	—
447	C₄⋊C₄×C₇₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
461	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
462	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
463	C₄⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
464	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
465	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
466	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
467	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
468	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
469	C₄⋊C₄×C₇₃	C₂⁴	1	1	yes	characteristic
470	C₂²⋊C₄×C₇₃	—	2	1	no	—
471	C₂²⋊C₄×C₇₃	—	2	1	no	—
472	C₂²⋊C₄×C₇₃	—	2	1	no	—
473	C₂²⋊C₄×C₇₃	—	2	1	no	—
474	C₂²⋊C₄×C₇₃	—	2	1	no	—
475	C₂²⋊C₄×C₇₃	—	2	1	no	—
476	C₂²⋊C₄×C₇₃	—	2	1	no	—
477	C₂²⋊C₄×C₇₃	—	2	1	no	—
478	C₂²⋊C₄×C₇₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
488	C₂²⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
489	C₂²⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
490	C₂²⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
491	C₂²⋊C₄×C₇₃	C₂×D₄	1	1	yes	characteristic
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	C₄²×C₇₃	—	2	1	no	—
496	C₄²×C₇₃	—	2	1	no	—
497	C₄²×C₇₃	—	2	1	no	—
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	C₂×D₄	1	1	yes	characteristic
505	C₄²×C₇₃	C₂×D₄	1	1	yes	characteristic
506	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
507	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
508	C₂³×C₇₃	—	2	2	no	—
509	C₂³×C₇₃	—	2	2	no	—
510	C₂³×C₇₃	—	2	2	no	—
511	C₂³×C₇₃	—	2	1	no	—
512	C₂³×C₇₃	—	4	1	no	—
513	C₂³×C₇₃	—	4	1	no	—
514	C₂³×C₇₃	—	4	1	no	—
515	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
516	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
517	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
518	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
519	C₂³×C₇₃	C₂²×D₄	1	1	yes	characteristic
520	C₂²×D₇₃	—	2	2	no	—
521	C₂²×D₇₃	—	4	2	no	—
522	C₂²×D₇₃	—	4	2	no	—
523	C₂²×D₇₃	—	4	2	no	—
524	Q₈×C₇₃	—	2	1	no	—
525	Q₈×C₇₃	—	2	1	no	—
526	Q₈×C₇₃	—	4	2	no	—
527	Q₈×C₇₃	—	8	1	no	—
528	D₄×C₇₃	—	2	2	no	—
529	D₄×C₇₃	—	2	2	no	—
530	D₄×C₇₃	—	2	1	no	—
531	D₄×C₇₃	—	2	1	no	—
532	D₄×C₇₃	—	4	1	no	—
533	D₄×C₇₃	—	4	1	no	—
534	D₄×C₇₃	—	4	2	no	—
535	D₄×C₇₃	—	4	2	no	—
536	D₄×C₇₃	—	4	2	no	—
537	D₄×C₇₃	—	8	1	no	—
538	D₄×C₇₃	—	8	1	no	—
539	C₂×C₄×C₇₃	—	2	2	no	—
540	C₂×C₄×C₇₃	—	2	2	no	—
541	C₂×C₄×C₇₃	—	2	2	no	—
542	C₂×C₄×C₇₃	—	2	2	no	—
543	C₂×C₄×C₇₃	—	2	2	no	—
544	C₂×C₄×C₇₃	—	2	2	no	—
545	C₂×C₄×C₇₃	—	2	1	no	—
546	C₂×C₄×C₇₃	—	2	1	no	—
547	C₂×C₄×C₇₃	—	2	1	no	—
548	C₂×C₄×C₇₃	—	2	1	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	—	4	1	no	—
561	C₂×C₄×C₇₃	—	4	1	no	—
562	C₂×C₄×C₇₃	—	4	2	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	—	8	1	no	—
567	C₂×C₄×C₇₃	—	8	1	no	—
568	C₂×C₄×C₇₃	—	8	1	no	—
569	C₂×C₄×C₇₃	C₂²×D₄	1	1	yes	characteristic
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	C₂×#41	1	2	yes	—
579	C₂×C₄×C₇₃	2₋¹⁺⁴	1	2	yes	—
580	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
581	C₂²⋊D₇₃	—	4	4	no	—
582	C₂²⋊D₇₃	—	4	4	no	—
583	C₂²⋊D₇₃	—	8	2	no	—
584	C₂²⋊D₇₃	—	8	2	no	—
585	C₂×Dic₇₃	—	2	2	no	—
586	C₂×Dic₇₃	—	2	2	no	—
587	C₂×Dic₇₃	—	2	2	no	—
588	C₂×Dic₇₃	—	4	2	no	—
589	C₂×Dic₇₃	—	4	2	no	—
590	C₂×Dic₇₃	—	4	2	no	—
591	C₂×Dic₇₃	—	8	2	no	—
592	C₂×Dic₇₃	—	8	2	no	—
593	D₂₉₂	—	2	2	no	—
594	D₂₉₂	—	2	2	no	—
595	D₂₉₂	—	4	2	no	—
596	C₄×D₇₃	—	8	2	no	—
597	C₄×D₇₃	—	8	2	no	—
598	#10596831	—	2	2	no	—
599	#10596831	—	2	2	no	—
600	#10596831	—	2	2	no	—
601	#10596831	C₂×#41	1	4	yes	—
602	C₂²×C₇₃	—	2	1	no	—
603	C₂²×C₇₃	—	2	1	no	—
604	C₂²×C₇₃	—	2	1	no	—
605	C₂²×C₇₃	—	2	1	no	—
606	C₂²×C₇₃	—	2	1	no	—
607	C₂²×C₇₃	—	2	1	no	—
608	C₂²×C₇₃	—	2	1	no	—
609	C₂²×C₇₃	—	2	1	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	—	4	4	no	—
616	C₂²×C₇₃	—	4	1	no	—
617	C₂²×C₇₃	—	4	1	no	—
618	C₂²×C₇₃	—	4	1	no	—
619	C₂²×C₇₃	—	8	2	no	—
620	C₂²×C₇₃	#547	1	2	yes	—
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	—	8	4	no	—
627	C₄×C₇₃	—	2	1	no	—
628	C₄×C₇₃	—	2	1	no	—
629	C₄×C₇₃	—	2	1	no	—
630	C₄×C₇₃	—	2	1	no	—
631	C₄×C₇₃	—	2	1	no	—
632	C₄×C₇₃	—	2	1	no	—
633	C₄×C₇₃	—	2	1	no	—
634	C₄×C₇₃	—	2	1	no	—
635	C₄×C₇₃	—	4	1	no	—
636	C₄×C₇₃	—	4	1	no	—
637	C₄×C₇₃	—	4	1	no	—
638	C₄×C₇₃	—	4	1	no	—
639	C₄×C₇₃	—	4	1	no	—
640	C₄×C₇₃	—	4	1	no	—
641	C₄×C₇₃	—	4	1	no	—
642	C₄×C₇₃	#547	1	2	yes	—
643	C₄×C₇₃	C₂²×#41	1	1	yes	characteristic
644	C₄×C₇₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
645	Dic₇₃	—	4	2	no	—
646	Dic₇₃	—	4	2	no	—
647	Dic₇₃	—	4	2	no	—
648	#61255	—	73	1	no	maximal, Sylow
649	C₂×C₇₃	—	2	2	no	—
650	C₂×C₇₃	—	2	2	no	—
651	C₂×C₇₃	—	4	1	no	—
652	C₂×C₇₃	—	4	1	no	—
653	C₂×C₇₃	—	4	1	no	—
654	C₂×C₇₃	—	8	1	no	—
655	C₂×C₇₃	C₂×#547	1	1	yes	characteristic
656	C₂×C₇₃	C₂×#575	1	1	yes	characteristic
657	C₂×C₇₃	#3585	1	1	yes	characteristic
658	D₇₃	—	8	2	no	—
659	#3475	D₇₃	1	1	yes	characteristic, complemented
660	C₂×#553	—	73	1	no	—
661	#3355	—	73	2	no	—
662	#3351	—	73	2	no	—
663	#3350	—	73	2	no	—
664	#3347	—	73	2	no	—
665	#3346	—	73	2	no	—
666	#3345	—	73	2	no	—
667	#3339	—	73	2	no	—
668	#3337	—	73	2	no	—
669	#3166	—	73	1	no	—
670	#3094	—	73	1	no	—
671	#3094	—	73	1	no	—
672	#3093	—	73	1	no	—
673	#3092	—	73	1	no	—
674	#3080	—	73	1	no	—
675	#3077	—	73	1	no	—
676	#3055	—	73	1	no	—
677	#3055	—	73	1	no	—
678	C₄×AGL(1,ℤ/8)	—	73	1	no	—
679	D₄×M₁₆	—	73	1	no	—
680	#2911	—	73	1	no	—
681	C₂×#428	—	73	1	no	—
682	C₇₃	#61255	1	1	yes	characteristic, complemented, Sylow
683	C₂×AGL(1,ℤ/8)	—	73	1	no	—
684	C₂²×M₁₆	—	73	1	no	—
685	C₂²×M₁₆	—	73	1	no	—
686	#556	C₂×D₇₃	1	1	yes	characteristic, complemented
687	#555	C₂×D₇₃	1	1	yes	characteristic, complemented
688	#554	C₂×D₇₃	1	1	yes	characteristic, complemented
689	#553	—	73	2	no	—
690	#553	—	73	2	no	—
691	#553	—	73	2	no	—
692	#553	—	73	2	no	—
693	#553	—	146	1	no	—
694	#553	—	146	1	no	—
695	#553	—	146	1	no	—
696	#553	—	146	1	no	—
697	#553	C₂×D₇₃	1	1	yes	characteristic, complemented
698	#553	C₂×D₇₃	1	1	yes	characteristic, complemented
699	#552	—	2	1	no	—
700	#552	C₂×D₇₃	1	1	yes	characteristic, complemented
701	#552	C₂×D₇₃	1	1	yes	characteristic, complemented
702	#551	—	2	1	no	—
703	#551	—	2	1	no	—
704	#547	C₂×D₇₃	1	1	yes	characteristic, complemented
705	#546	—	2	1	no	—
706	#533	C₂×D₇₃	1	1	yes	characteristic
707	#529	—	2	1	no	—
708	#529	—	2	1	no	—
709	#529	—	2	1	no	—
710	C₂×#126	—	146	1	no	—
711	C₂×#125	—	73	1	no	—
712	#525	C₂×D₇₃	1	1	yes	characteristic
713	#525	C₂×D₇₃	1	1	yes	characteristic
714	C₂×#123	—	146	1	no	—
715	C₂×#121	—	73	1	no	—
716	C₂×#121	—	73	1	no	—
717	C₂×#121	—	146	1	no	—
718	C₄×#41	—	2	1	no	—
719	C₄×#41	C₂×D₇₃	1	1	yes	characteristic
720	C₂×C₄×D₄	—	73	1	no	—
721	C₂×C₄×D₄	—	146	1	no	—
722	C₂×C₄×D₄	C₂×D₇₃	1	1	yes	characteristic
723	C₂×#117	—	73	1	no	—
724	C₂×#117	C₂×D₇₃	1	1	yes	characteristic
725	C₂×#117	C₂×D₇₃	1	1	yes	characteristic
726	C₂²×C₄⋊C₄	—	73	1	no	—
727	#501	—	73	2	no	—
728	#501	—	73	2	no	—
729	#499	—	73	2	no	—
730	#499	—	73	2	no	—
731	#485	—	73	2	no	—
732	#485	—	73	2	no	—
733	#484	—	73	2	no	—
734	#483	—	73	2	no	—
735	#482	—	73	2	no	—
736	#482	—	73	2	no	—
737	#482	—	73	2	no	—
738	#482	—	73	2	no	—
739	#482	—	73	2	no	—
740	#482	—	73	2	no	—
741	#481	—	73	2	no	—
742	#481	—	73	2	no	—
743	#481	—	73	2	no	—
744	#480	—	73	2	no	—
745	#480	—	73	2	no	—
746	#480	—	73	2	no	—
747	#479	—	73	2	no	—
748	#479	—	73	2	no	—
749	#478	—	73	2	no	—
750	#478	—	73	2	no	—
751	#478	—	73	2	no	—
752	#478	—	73	2	no	—
753	#476	—	73	2	no	—
754	#474	—	73	2	no	—
755	#469	—	73	2	no	—
756	#469	—	73	2	no	—
757	#468	—	73	2	no	—
758	#468	—	73	2	no	—
759	#466	—	73	2	no	—
760	#466	—	73	2	no	—
761	#465	—	73	2	no	—
762	#465	—	73	2	no	—
763	#442	—	73	2	no	—
764	#440	—	73	2	no	—
765	C₄×SD₁₆	—	73	2	no	—
766	C₄×D₈	—	73	2	no	—
767	#436	—	73	2	no	—
768	#435	—	73	2	no	—
769	#435	—	73	2	no	—
770	C₈×D₄	—	73	2	no	—
771	#428	—	73	1	no	—
772	#428	—	73	1	no	—
773	#428	—	73	1	no	—
774	#428	—	73	1	no	—
775	#428	—	73	2	no	—
776	#428	—	73	1	no	—
777	#428	—	73	1	no	—
778	#428	—	73	2	no	—
779	#428	—	73	1	no	—
780	#428	—	73	1	no	—
781	#428	—	73	1	no	—
782	#428	—	73	2	no	—
783	#428	—	73	2	no	—
784	#427	—	73	2	no	—
785	#427	—	73	2	no	—
786	C₂×#107	—	73	2	no	—
787	C₂×#106	—	73	2	no	—
788	#423	—	73	1	no	—
789	#418	—	73	1	no	—
790	#418	—	73	1	no	—
791	#418	—	73	1	no	—
792	#417	—	73	1	no	—
793	#417	—	73	1	no	—
794	#417	—	73	1	no	—
795	#407	—	73	1	no	—
796	#407	—	73	1	no	—
797	C₄×M₁₆	—	73	1	no	—
798	C₂×#41	—	2	1	no	—
799	C₂×#41	C₂²×D₇₃	1	1	yes	characteristic
800	C₂²×D₄	—	73	1	no	—
801	C₂²×D₄	—	146	1	no	—
802	C₂²×D₄	—	146	1	no	—
803	C₂²×D₄	C₂²⋊D₇₃	1	1	yes	characteristic
804	C₂³×C₄	—	146	1	no	—
805	C₂³×C₄	—	146	1	no	—
806	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
807	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
808	AGL(1,ℤ/8)	—	146	4	no	—
809	C₂×SD₁₆	—	73	2	no	—
810	C₂×D₈	—	73	2	no	—
811	C₂×M₁₆	—	73	1	no	—
812	C₂×M₁₆	—	73	1	no	—
813	C₂×M₁₆	—	73	1	no	—
814	C₂×M₁₆	—	73	2	no	—
815	C₂×M₁₆	—	73	2	no	—
816	C₂×M₁₆	—	73	1	no	—
817	C₂×M₁₆	—	146	4	no	—
818	C₂×M₁₆	—	146	4	no	—
819	C₂²×C₈	—	73	2	no	—
820	C₂²×C₈	—	73	2	no	—
821	C₄⋊Q₈	C₂²×D₇₃	1	1	yes	characteristic
822	C₄⋊Q₈	C₂²×D₇₃	1	1	yes	characteristic
823	#126	—	2	1	no	—
824	#126	—	2	1	no	—
825	#126	—	2	1	no	—
826	#126	—	2	1	no	—
827	#126	—	2	1	no	—
828	#126	—	2	1	no	—
829	#126	—	146	2	no	—
830	#126	—	146	2	no	—
831	#126	—	146	2	no	—
832	#126	—	146	2	no	—
833	#125	—	2	1	no	—
834	#125	—	2	1	no	—
835	#125	—	2	1	no	—
836	#125	—	73	2	no	—
837	#125	—	73	2	no	—
838	#125	—	146	1	no	—
839	#125	—	146	1	no	—
840	#125	C₂²×D₇₃	1	1	yes	characteristic
841	#125	C₂²×D₇₃	1	1	yes	characteristic
842	#124	—	2	1	no	—
843	#124	—	2	1	no	—
844	#124	—	2	1	no	—
845	#123	—	2	1	no	—
846	#123	—	2	1	no	—
847	#123	—	2	1	no	—
848	#123	—	2	1	no	—
849	#123	—	2	1	no	—
850	#123	—	2	1	no	—
851	#123	—	2	1	no	—
852	#123	—	2	1	no	—
853	#123	—	146	2	no	—
854	#123	—	146	2	no	—
855	#123	—	146	2	no	—
856	#123	—	146	2	no	—
857	C₂²⋊Q₈	—	2	1	no	—
858	C₂²⋊Q₈	—	2	1	no	—
859	C₂²⋊Q₈	—	2	1	no	—
860	C₂²⋊Q₈	—	2	1	no	—
861	C₂²⋊Q₈	—	2	1	no	—
862	C₂²⋊Q₈	C₂²×D₇₃	1	1	yes	characteristic
863	C₂²⋊Q₈	C₂²×D₇₃	1	1	yes	characteristic
864	C₂²⋊Q₈	C₂²×D₇₃	1	1	yes	characteristic
865	C₂²⋊Q₈	C₂²×D₇₃	1	1	yes	characteristic
866	#121	—	2	1	no	—
867	#121	—	2	1	no	—
868	#121	—	2	1	no	—
869	#121	—	73	2	no	—
870	#121	—	73	2	no	—
871	#121	—	73	2	no	—
872	#121	—	73	2	no	—
873	#121	—	146	2	no	—
874	#121	—	146	2	no	—
875	#121	—	146	2	no	—
876	#121	—	146	2	no	—
877	#121	—	146	1	no	—
878	#121	—	146	1	no	—
879	#121	—	146	1	no	—
880	#121	—	146	1	no	—
881	#121	C₂²×D₇₃	1	1	yes	characteristic
882	#121	C₂²×D₇₃	1	1	yes	characteristic
883	#121	C₂²×D₇₃	1	1	yes	characteristic
884	#121	C₂²×D₇₃	1	1	yes	characteristic
885	#120	—	2	1	no	—
886	#120	—	2	1	no	—
887	C₄×Q₈	—	2	1	no	—
888	C₄×Q₈	—	2	1	no	—
889	C₄×Q₈	—	2	1	no	—
890	C₄×Q₈	C₂²×D₇₃	1	1	yes	characteristic
891	C₄×Q₈	C₂²×D₇₃	1	1	yes	characteristic
892	C₄×D₄	—	2	1	no	—
893	C₄×D₄	—	2	1	no	—
894	C₄×D₄	—	2	1	no	—
895	C₄×D₄	—	2	1	no	—
896	C₄×D₄	—	2	1	no	—
897	C₄×D₄	—	2	1	no	—
898	C₄×D₄	—	2	1	no	—
899	C₄×D₄	—	2	1	no	—
900	C₄×D₄	—	2	1	no	—
901	C₄×D₄	—	73	2	no	—
902	C₄×D₄	—	73	2	no	—
903	C₄×D₄	—	146	2	no	—
904	C₄×D₄	—	146	2	no	—
905	C₄×D₄	—	146	2	no	—
906	C₄×D₄	—	146	2	no	—
907	C₄×D₄	—	146	1	no	—
908	C₄×D₄	—	146	1	no	—
909	C₄×D₄	C₂²⋊D₇₃	1	1	yes	characteristic
910	C₄×D₄	C₂²⋊D₇₃	1	1	yes	characteristic
911	C₄×D₄	C₂²⋊D₇₃	1	1	yes	characteristic
912	C₄×D₄	C₂²⋊D₇₃	1	1	yes	characteristic
913	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
914	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
915	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
916	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
917	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
918	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
919	#117	—	2	1	no	—
920	#117	—	2	1	no	—
921	#117	—	2	1	no	—
922	#117	—	2	1	no	—
923	#117	—	2	1	no	—
924	#117	—	2	1	no	—
925	#117	—	2	1	no	—
926	#117	—	2	1	no	—
927	#117	—	73	2	no	—
928	#117	—	73	2	no	—
929	#117	—	146	1	no	—
930	#117	—	146	1	no	—
931	#117	C₂²×D₇₃	1	1	yes	characteristic
932	#117	C₂²×D₇₃	1	1	yes	characteristic
933	#117	C₂²×D₇₃	1	1	yes	characteristic
934	#117	C₂²×D₇₃	1	1	yes	characteristic
935	#117	C₂²×D₇₃	1	1	yes	characteristic
936	#117	C₂²×D₇₃	1	1	yes	characteristic
937	#117	C₂²×D₇₃	1	1	yes	characteristic
938	C₂×C₄⋊C₄	—	73	1	no	—
939	C₂×C₄⋊C₄	—	73	1	no	—
940	C₂×C₄⋊C₄	—	73	2	no	—
941	C₂×C₄⋊C₄	—	73	2	no	—
942	C₂×C₄⋊C₄	—	73	1	no	—
943	C₂×C₄⋊C₄	—	146	1	no	—
944	C₂×C₄⋊C₄	—	146	1	no	—
945	C₂×C₄⋊C₄	—	146	1	no	—
946	C₂×C₄⋊C₄	—	146	1	no	—
947	C₂×C₄⋊C₄	—	146	1	no	—
948	C₂×C₄⋊C₄	C₂²⋊D₇₃	1	1	yes	characteristic
949	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
950	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
951	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
952	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
953	C₂×C₂²⋊C₄	—	2	1	no	—
954	C₂×C₂²⋊C₄	—	2	1	no	—
955	C₂×C₂²⋊C₄	—	146	1	no	—
956	C₂×C₂²⋊C₄	—	146	1	no	—
957	C₂×C₂²⋊C₄	—	146	1	no	—
958	C₂×C₂²⋊C₄	—	146	1	no	—
959	C₂×C₂²⋊C₄	C₂²⋊D₇₃	1	1	yes	characteristic
960	C₂×C₂²⋊C₄	C₂²⋊D₇₃	1	1	yes	characteristic
961	C₂×C₄²	—	2	1	no	—
962	C₂×C₄²	—	2	1	no	—
963	C₂×C₄²	—	2	1	no	—
964	C₂×C₄²	—	146	1	no	—
965	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
966	#107	—	73	2	no	—
967	#107	—	73	2	no	—
968	#107	—	73	2	no	—
969	#107	—	73	2	no	—
970	#107	—	73	2	no	—
971	#107	—	73	2	no	—
972	#107	—	73	2	no	—
973	#107	—	73	2	no	—
974	#107	—	73	2	no	—
975	#106	—	73	2	no	—
976	#106	—	73	2	no	—
977	#106	—	73	2	no	—
978	#106	—	73	2	no	—
979	#106	—	73	2	no	—
980	#106	—	73	2	no	—
981	#106	—	73	2	no	—
982	#106	—	73	2	no	—
983	#106	—	73	2	no	—
984	C₄⋊C₈	—	73	2	no	—
985	C₄⋊C₈	—	73	2	no	—
986	#103	—	73	2	no	—
987	#103	—	73	2	no	—
988	#103	—	73	2	no	—
989	#102	—	73	2	no	—
990	#102	—	73	2	no	—
991	#102	—	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	C₂²⋊C₈	—	73	2	no	—
999	C₂²⋊C₈	—	73	2	no	—
1000	C₂²⋊C₈	—	73	2	no	—
1001	C₂²⋊C₈	—	73	2	no	—
1002	#97	—	73	2	no	—
1003	C₄×C₈	—	73	2	no	—
1004	C₂⁴	—	146	1	no	—
1005	C₂⁴	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1006	C₂⁴	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1007	#41	—	2	2	no	—
1008	#41	—	2	2	no	—
1009	#41	—	4	4	no	—
1010	C₂×Q₈	—	2	1	no	—
1011	C₂×Q₈	—	2	1	no	—
1012	C₂×Q₈	C₂³×D₇₃	1	1	yes	characteristic
1013	C₂×D₄	—	2	1	no	—
1014	C₂×D₄	—	2	1	no	—
1015	C₂×D₄	—	2	1	no	—
1016	C₂×D₄	—	2	1	no	—
1017	C₂×D₄	—	2	1	no	—
1018	C₂×D₄	—	4	2	no	—
1019	C₂×D₄	—	292	4	no	—
1020	C₂×D₄	—	584	2	no	—
1021	C₂×D₄	—	73	2	no	—
1022	C₂×D₄	—	146	2	no	—
1023	C₂×D₄	—	146	2	no	—
1024	C₂×D₄	—	146	2	no	—
1025	C₂×D₄	—	146	2	no	—
1026	C₂×D₄	—	146	1	no	—
1027	C₂×D₄	—	146	2	no	—
1028	C₂×D₄	—	146	2	no	—
1029	C₂×D₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1030	C₂×D₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1031	C₂×D₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1032	C₂×D₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1033	C₂×D₄	C₂³×D₇₃	1	1	yes	characteristic
1034	C₂²×C₄	—	2	2	no	—
1035	C₂²×C₄	—	2	2	no	—
1036	C₂²×C₄	—	2	2	no	—
1037	C₂²×C₄	—	2	2	no	—
1038	C₂²×C₄	—	2	1	no	—
1039	C₂²×C₄	—	2	1	no	—
1040	C₂²×C₄	—	2	1	no	—
1041	C₂²×C₄	—	2	1	no	—
1042	C₂²×C₄	—	2	1	no	—
1043	C₂²×C₄	—	2	1	no	—
1044	C₂²×C₄	—	2	1	no	—
1045	C₂²×C₄	—	584	2	no	—
1046	C₂²×C₄	—	584	2	no	—
1047	C₂²×C₄	—	146	1	no	—
1048	C₂²×C₄	—	146	1	no	—
1049	C₂²×C₄	—	146	1	no	—
1050	C₂²×C₄	—	146	2	no	—
1051	C₂²×C₄	—	146	2	no	—
1052	C₂²×C₄	—	146	2	no	—
1053	C₂²×C₄	—	146	2	no	—
1054	C₂²×C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1055	C₂²×C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1056	C₂²×C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1057	C₂²×C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1058	C₂²×C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1059	C₂²×C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1060	C₂²×C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1061	C₂²×C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1062	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1063	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1064	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1065	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1066	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1067	SD₁₆	—	146	4	no	—
1068	D₈	—	146	4	no	—
1069	M₁₆	—	73	4	no	—
1070	M₁₆	—	146	4	no	—
1071	M₁₆	—	146	4	no	—
1072	M₁₆	—	146	2	no	—
1073	M₁₆	—	146	2	no	—
1074	M₁₆	—	146	2	no	—
1075	C₂×C₈	—	73	2	no	—
1076	C₂×C₈	—	73	2	no	—
1077	C₂×C₈	—	73	2	no	—
1078	C₂×C₈	—	73	2	no	—
1079	C₂×C₈	—	146	4	no	—
1080	C₂×C₈	—	146	4	no	—
1081	C₄⋊C₄	—	2	1	no	—
1082	C₄⋊C₄	—	2	1	no	—
1083	C₄⋊C₄	—	2	1	no	—
1084	C₄⋊C₄	—	2	1	no	—
1085	C₄⋊C₄	—	2	1	no	—
1086	C₄⋊C₄	—	2	1	no	—
1087	C₄⋊C₄	—	2	1	no	—
1088	C₄⋊C₄	—	2	1	no	—
1089	C₄⋊C₄	—	2	1	no	—
1090	C₄⋊C₄	—	2	1	no	—
1091	C₄⋊C₄	—	2	1	no	—
1092	C₄⋊C₄	—	2	1	no	—
1093	C₄⋊C₄	—	2	1	no	—
1094	C₄⋊C₄	—	2	1	no	—
1095	C₄⋊C₄	—	2	1	no	—
1096	C₄⋊C₄	—	2	1	no	—
1097	C₄⋊C₄	—	73	2	no	—
1098	C₄⋊C₄	—	73	2	no	—
1099	C₄⋊C₄	—	73	2	no	—
1100	C₄⋊C₄	—	146	2	no	—
1101	C₄⋊C₄	—	146	2	no	—
1102	C₄⋊C₄	—	146	2	no	—
1103	C₄⋊C₄	—	146	2	no	—
1104	C₄⋊C₄	—	146	1	no	—
1105	C₄⋊C₄	—	146	1	no	—
1106	C₄⋊C₄	—	146	2	no	—
1107	C₄⋊C₄	—	146	2	no	—
1108	C₄⋊C₄	—	146	1	no	—
1109	C₄⋊C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1110	C₄⋊C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1111	C₄⋊C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1112	C₄⋊C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1113	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1114	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1115	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1116	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1117	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1118	C₄⋊C₄	C₂³×D₇₃	1	1	yes	characteristic
1119	C₂²⋊C₄	—	2	1	no	—
1120	C₂²⋊C₄	—	2	1	no	—
1121	C₂²⋊C₄	—	2	1	no	—
1122	C₂²⋊C₄	—	2	1	no	—
1123	C₂²⋊C₄	—	2	1	no	—
1124	C₂²⋊C₄	—	2	1	no	—
1125	C₂²⋊C₄	—	2	1	no	—
1126	C₂²⋊C₄	—	2	1	no	—
1127	C₂²⋊C₄	—	2	1	no	—
1128	C₂²⋊C₄	—	2	1	no	—
1129	C₂²⋊C₄	—	2	1	no	—
1130	C₂²⋊C₄	—	2	1	no	—
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	—	146	2	no	—
1137	C₂²⋊C₄	—	146	2	no	—
1138	C₂²⋊C₄	—	146	2	no	—
1139	C₂²⋊C₄	—	146	2	no	—
1140	C₂²⋊C₄	—	146	2	no	—
1141	C₂²⋊C₄	—	146	2	no	—
1142	C₂²⋊C₄	—	146	2	no	—
1143	C₂²⋊C₄	—	146	2	no	—
1144	C₂²⋊C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1145	C₂²⋊C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1146	C₂²⋊C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1147	C₂²⋊C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1148	C₂²⋊C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1149	C₂²⋊C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1150	C₂²⋊C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1151	C₂²⋊C₄	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1152	C₄²	—	2	1	no	—
1153	C₄²	—	2	1	no	—
1154	C₄²	—	2	1	no	—
1155	C₄²	—	2	1	no	—
1156	C₄²	—	2	1	no	—
1157	C₄²	—	2	1	no	—
1158	C₄²	—	2	1	no	—
1159	C₄²	—	2	1	no	—
1160	C₄²	—	2	1	no	—
1161	C₄²	—	146	2	no	—
1162	C₄²	—	146	2	no	—
1163	C₄²	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1164	C₄²	C₂×C₂²⋊D₇₃	1	1	yes	characteristic
1165	C₄²	C₂³×D₇₃	1	1	yes	characteristic
1166	C₄²	C₂³×D₇₃	1	1	yes	characteristic
1167	C₂³	—	2	2	no	—
1168	C₂³	—	2	2	no	—
1169	C₂³	—	2	2	no	—
1170	C₂³	—	2	1	no	—
1171	C₂³	—	4	1	no	—
1172	C₂³	—	4	1	no	—
1173	C₂³	—	4	1	no	—
1174	C₂³	—	292	2	no	—
1175	C₂³	—	292	2	no	—
1176	C₂³	—	292	2	no	—
1177	C₂³	—	146	2	no	—
1178	C₂³	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1179	C₂³	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1180	C₂³	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1181	C₂³	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1182	C₂³	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1183	Q₈	—	2	1	no	—
1184	Q₈	—	2	1	no	—
1185	Q₈	—	4	2	no	—
1186	Q₈	—	8	1	no	—
1187	D₄	—	2	2	no	—
1188	D₄	—	2	2	no	—
1189	D₄	—	2	1	no	—
1190	D₄	—	2	1	no	—
1191	D₄	—	4	1	no	—
1192	D₄	—	4	1	no	—
1193	D₄	—	4	2	no	—
1194	D₄	—	4	2	no	—
1195	D₄	—	4	2	no	—
1196	D₄	—	8	1	no	—
1197	D₄	—	8	1	no	—
1198	D₄	—	292	4	no	—
1199	D₄	—	292	4	no	—
1200	D₄	—	292	2	no	—
1201	D₄	—	584	2	no	—
1202	D₄	—	584	2	no	—
1203	D₄	—	146	2	no	—
1204	D₄	—	146	2	no	—
1205	C₂×C₄	—	2	2	no	—
1206	C₂×C₄	—	2	2	no	—
1207	C₂×C₄	—	2	1	no	—
1208	C₂×C₄	—	2	1	no	—
1209	C₂×C₄	—	2	1	no	—
1210	C₂×C₄	—	2	1	no	—
1211	C₂×C₄	—	2	1	no	—
1212	C₂×C₄	—	2	1	no	—
1213	C₂×C₄	—	2	1	no	—
1214	C₂×C₄	—	2	1	no	—
1215	C₂×C₄	—	2	2	no	—
1216	C₂×C₄	—	2	2	no	—
1217	C₂×C₄	—	2	2	no	—
1218	C₂×C₄	—	2	2	no	—
1219	C₂×C₄	—	2	1	no	—
1220	C₂×C₄	—	2	1	no	—
1221	C₂×C₄	—	2	1	no	—
1222	C₂×C₄	—	2	1	no	—
1223	C₂×C₄	—	2	1	no	—
1224	C₂×C₄	—	2	1	no	—
1225	C₂×C₄	—	2	1	no	—
1226	C₂×C₄	—	4	1	no	—
1227	C₂×C₄	—	4	1	no	—
1228	C₂×C₄	—	4	2	no	—
1229	C₂×C₄	—	4	2	no	—
1230	C₂×C₄	—	4	2	no	—
1231	C₂×C₄	—	4	2	no	—
1232	C₂×C₄	—	8	1	no	—
1233	C₂×C₄	—	8	1	no	—
1234	C₂×C₄	—	8	1	no	—
1235	C₂×C₄	—	292	2	no	—
1236	C₂×C₄	—	292	2	no	—
1237	C₂×C₄	—	292	2	no	—
1238	C₂×C₄	—	584	2	no	—
1239	C₂×C₄	—	584	2	no	—
1240	C₂×C₄	—	584	2	no	—
1241	C₂×C₄	—	584	2	no	—
1242	C₂×C₄	—	146	2	no	—
1243	C₂×C₄	—	146	2	no	—
1244	C₂×C₄	—	146	2	no	—
1245	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1246	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1247	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1248	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1249	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1250	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1251	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1252	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1253	C₂×C₄	C₂²×C₂²⋊D₇₃	1	1	yes	characteristic
1254	C₂×C₄	#41×D₇₃	1	2	yes	—
1255	C₂×C₄	#14556638	1	2	yes	—
1256	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1257	C₈	—	73	4	no	—
1258	C₈	—	146	2	no	—
1259	C₈	—	146	2	no	—
1260	C₈	—	146	2	no	—
1261	C₂²	—	2	1	no	—
1262	C₂²	—	2	1	no	—
1263	C₂²	—	2	1	no	—
1264	C₂²	—	2	1	no	—
1265	C₂²	—	2	1	no	—
1266	C₂²	—	2	1	no	—
1267	C₂²	—	2	1	no	—
1268	C₂²	—	2	1	no	—
1269	C₂²	—	2	1	no	—
1270	C₂²	—	2	1	no	—
1271	C₂²	—	2	1	no	—
1272	C₂²	—	2	1	no	—
1273	C₂²	—	2	1	no	—
1274	C₂²	—	4	4	no	—
1275	C₂²	—	4	1	no	—
1276	C₂²	—	4	1	no	—
1277	C₂²	—	4	1	no	—
1278	C₂²	—	8	2	no	—
1279	C₂²	—	292	2	no	—
1280	C₂²	—	292	2	no	—
1281	C₂²	—	292	2	no	—
1282	C₂²	—	584	4	no	—
1283	C₂²	#17989236	1	2	yes	—
1284	C₂²	#17989385	1	2	yes	—
1285	C₂²	C₂³×C₂²⋊D₇₃	1	1	yes	characteristic
1286	C₄	—	2	1	no	—
1287	C₄	—	2	1	no	—
1288	C₄	—	2	1	no	—
1289	C₄	—	2	1	no	—
1290	C₄	—	2	1	no	—
1291	C₄	—	2	1	no	—
1292	C₄	—	2	1	no	—
1293	C₄	—	2	1	no	—
1294	C₄	—	4	1	no	—
1295	C₄	—	4	1	no	—
1296	C₄	—	4	1	no	—
1297	C₄	—	4	1	no	—
1298	C₄	—	4	1	no	—
1299	C₄	—	4	1	no	—
1300	C₄	—	4	1	no	—
1301	C₄	—	292	2	no	—
1302	C₄	—	292	2	no	—
1303	C₄	—	292	2	no	—
1304	C₄	#17989236	1	2	yes	—
1305	C₄	C₂×#41×D₇₃	1	1	yes	characteristic
1306	C₄	C₂×#14556638	1	1	yes	characteristic
1307	C₂	—	2	2	no	—
1308	C₂	—	2	2	no	—
1309	C₂	—	4	1	no	—
1310	C₂	—	4	1	no	—
1311	C₂	—	4	1	no	—
1312	C₂	—	8	1	no	—
1313	C₂	—	584	2	no	—
1314	C₂	C₂×#17989236	1	1	yes	characteristic
1315	C₂	C₂×#17989385	1	1	yes	characteristic
1316	C₂	#22624710	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×#3475	C₂
socle	C₂²×C₇₃	C₂³×D₄
hypercenter	#3475	D₇₃
hypocenter	C₇₃	#61255
LCS	G ▷ C₂×C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄×D₄ ◁ #3475

Complements

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

N	H ≅ G/N	type
1. C₂×#17989283	C₂	semidirect
2. #22622531	C₂	semidirect
3. #22622491	C₂	semidirect
4. #22622476	C₂	semidirect
5. #22622431	C₂	semidirect
6. #22622410	C₂	semidirect
7. #22622401	C₂	semidirect
8. #22622327	C₂	semidirect
9. #22622310	C₂	semidirect
10. #22620484	C₂	semidirect
11. #22619871	C₂	semidirect
12. #22619871	C₂	semidirect
13. #22619860	C₂	semidirect
14. #22619851	C₂	semidirect
15. #22619753	C₂	semidirect
16. #22619724	C₂	semidirect
17. #22619552	C₂	semidirect
18. #22619552	C₂	semidirect
19. C₄×#14556616	C₂	semidirect
20. D₄×#11924012	C₂	semidirect
21. #22618520	C₂	semidirect
22. C₂×#17988630	C₂	semidirect
23. C₇₃×#3475	C₂	semidirect
45. #17988993	C₂²	semidirect
46. #17988993	C₂²	semidirect
47. #17988986	C₂²	semidirect
48. #17988986	C₂²	semidirect
49. #17988925	C₂²	semidirect
50. #17988925	C₂²	semidirect
51. #17988920	C₂²	semidirect
52. #17988915	C₂²	semidirect
53. #17988911	C₂²	semidirect
54. #17988911	C₂²	semidirect
55. #17988911	C₂²	semidirect
56. #17988911	C₂²	semidirect
57. #17988908	C₂²	semidirect
58. #17988908	C₂²	semidirect
59. #17988905	C₂²	semidirect
60. #17988905	C₂²	semidirect
61. #17988903	C₂²	semidirect
62. #17988900	C₂²	semidirect
63. #17988900	C₂²	semidirect
64. #17988898	C₂²	semidirect
65. #17988894	C₂²	semidirect
66. #17988894	C₂²	semidirect
67. #17988887	C₂²	semidirect
68. #17988887	C₂²	semidirect
69. #17988884	C₂²	semidirect
70. #17988884	C₂²	semidirect
71. #17988874	C₂²	semidirect
72. #17988864	C₂²	semidirect
73. #17988838	C₂²	semidirect
74. #17988838	C₂²	semidirect
75. #17988835	C₂²	semidirect
76. #17988835	C₂²	semidirect
77. #17988821	C₂²	semidirect
78. #17988821	C₂²	semidirect
79. #17988818	C₂²	semidirect
80. #17988818	C₂²	semidirect
81. #17988697	C₂²	semidirect
82. #17988685	C₂²	semidirect
83. C₄×#11924015	C₂²	semidirect
84. C₄×#11924013	C₂²	semidirect
85. #17988665	C₂²	semidirect
86. #17988659	C₂²	semidirect
87. #17988659	C₂²	semidirect
88. D₄×#10596831	C₂²	semidirect
98. #17988630	C₂²	semidirect
99. #17988630	C₂²	semidirect
100. #17988627	C₂²	semidirect
101. #17988627	C₂²	semidirect
102. #17988623	C₂²	semidirect
103. #17988623	C₂²	semidirect
104. C₂×#14556524	C₂²	semidirect
105. C₂×#14556522	C₂²	semidirect
116. #556×C₇₃	C₂²	semidirect
117. #555×C₇₃	C₂²	semidirect
118. #554×C₇₃	C₂²	semidirect
119. #553×C₇₃	C₂²	semidirect
120. #553×C₇₃	C₂²	semidirect
122. #552×C₇₃	C₂²	semidirect
123. #552×C₇₃	C₂²	semidirect
126. #547×C₇₃	C₂²	semidirect
372. #11924012	#41	semidirect
659. #3475	D₇₃	semidirect
682. C₇₃	#61255	semidirect
686. #556	C₂×D₇₃	semidirect
687. #555	C₂×D₇₃	semidirect
688. #554	C₂×D₇₃	semidirect
697. #553	C₂×D₇₃	semidirect
698. #553	C₂×D₇₃	semidirect
700. #552	C₂×D₇₃	semidirect
701. #552	C₂×D₇₃	semidirect
704. #547	C₂×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#17989283	2
#22622531	2
#22622491	2
#22622476	2
#22622431	2
#22622410	2
#22622401	2
#22622327	2
#22622310	2
#22620484	2
#22619871	2
#22619860	2
#22619851	2
#22619753	2
#22619724	2
#22619552	2
C₄×#14556616	2
D₄×#11924012	2
#22618520	2
C₂×#17988630	2
C₇₃×#3475	2
#61255	73