Subgroups — #33994627

Order 18688.

7242 conjugacy classes of subgroups.

The subgroup lattice has 1808 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22624224	C₂	1	4	yes	maximal, complemented
2	#22624216	C₂	1	4	yes	maximal, complemented
3	#22624180	C₂	1	2	yes	maximal, complemented
4	#22624176	C₂	1	2	yes	maximal, complemented
5	#22624158	C₂	1	2	yes	maximal, complemented
6	#22624153	C₂	1	2	yes	maximal, complemented
7	#22624144	C₂	1	4	yes	maximal, complemented
8	#22624134	C₂	1	4	yes	maximal, complemented
9	#22623980	C₂	1	4	yes	maximal, complemented
10	#22623968	C₂	1	4	yes	maximal, complemented
11	#22623770	C₂	1	2	yes	maximal, complemented
12	#22623765	C₂	1	2	yes	maximal, complemented
13	#22623734	C₂	1	2	yes	maximal, complemented
14	#22623727	C₂	1	2	yes	maximal, complemented
15	#22623685	C₂	1	2	yes	maximal, complemented
16	#22623683	C₂	1	2	yes	maximal, complemented
17	#22623637	C₂	1	2	yes	maximal, complemented
18	#22623632	C₂	1	4	yes	maximal, complemented
19	#22623618	C₂	1	4	yes	maximal, complemented
20	#22623611	C₂	1	2	yes	maximal, complemented
21	#22623603	C₂	1	2	yes	maximal, complemented
22	#22623578	C₂	1	2	yes	maximal, complemented
23	C₂×#17989098	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#14556570	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×#525×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#14556638	C₂²	1	2	yes	complemented
27	C₂²×#11924028	C₂²	1	1	yes	characteristic, complemented
28	C₂³×Dic₁₄₆	C₂²	1	1	yes	characteristic, complemented
29	#17989340	C₂²	1	8	yes	complemented
30	#17989338	C₂²	1	8	yes	complemented
31	#17989334	C₂²	1	8	yes	complemented
32	#17989332	C₂²	1	8	yes	complemented
33	#17989307	C₂²	1	4	yes	complemented
34	#17989305	C₂²	1	4	yes	complemented
35	#17989296	C₂²	1	8	yes	complemented
36	#17989296	C₂²	1	8	yes	complemented
37	#17989295	C₂²	1	4	yes	complemented
38	#17989294	C₂²	1	4	yes	complemented
39	#17989294	C₂²	1	4	yes	complemented
40	#17989292	C₂²	1	8	yes	complemented
41	#17989292	C₂²	1	4	yes	complemented
42	#17989291	C₂²	1	8	yes	complemented
43	#17989289	C₂²	1	4	yes	complemented
44	#17989286	C₂²	1	8	yes	complemented
45	#17989283	C₂²	1	4	yes	complemented
46	#17989280	C₂²	1	8	yes	complemented
47	#17989279	C₂²	1	4	yes	complemented
48	#17989277	C₂²	1	4	yes	complemented
49	#17989277	C₂²	1	4	yes	complemented
50	#17989277	C₂²	1	4	yes	complemented
51	#17989276	C₂²	1	4	yes	complemented
52	#17989274	C₂²	1	8	yes	complemented
53	#17989272	C₂²	1	4	yes	complemented
54	#17989270	C₂²	1	8	yes	complemented
55	#17989268	C₂²	1	8	yes	complemented
56	#17989268	C₂²	1	8	yes	complemented
57	#17989266	C₂²	1	8	yes	complemented
58	#17989263	C₂²	1	8	yes	complemented
59	#17989263	C₂²	1	8	yes	complemented
60	#17989263	C₂²	1	8	yes	complemented
61	D₄×Dic₁₄₆	C₂²	1	4	yes	complemented
62	D₄×Dic₁₄₆	C₂²	1	4	yes	complemented
63	D₄×Dic₁₄₆	C₂²	1	4	yes	complemented
64	Q₈×C₂²⋊D₇₃	C₂²	1	4	yes	complemented
65	#17989250	C₂²	1	4	yes	complemented
66	#17989250	C₂²	1	4	yes	complemented
67	#17989246	C₂²	1	4	yes	complemented
68	#17989246	C₂²	1	4	yes	complemented
69	#17989246	C₂²	1	4	yes	complemented
70	#17989244	C₂²	1	4	yes	complemented
71	#17989243	C₂²	1	4	yes	complemented
72	#17989243	C₂²	1	4	yes	complemented
73	#17989242	C₂²	1	4	yes	complemented
74	#17989241	C₂²	1	4	yes	complemented
75	#17989237	C₂²	1	4	yes	complemented
76	#17989236	C₂²	1	8	yes	complemented
77	#17989236	C₂²	1	4	yes	complemented
78	#17989235	C₂²	1	8	yes	complemented
79	#17989233	C₂²	1	4	yes	complemented
80	#17989231	C₂²	1	8	yes	complemented
81	#17989231	C₂²	1	8	yes	complemented
82	#17989231	C₂²	1	4	yes	complemented
83	#17989224	C₂²	1	8	yes	complemented
84	#17989224	C₂²	1	8	yes	complemented
85	#17989218	C₂²	1	4	yes	complemented
86	#17989216	C₂²	1	4	yes	complemented
87	#17989216	C₂²	1	4	yes	complemented
88	#17989215	C₂²	1	2	yes	complemented
89	#17989213	C₂²	1	4	yes	—
90	#17989213	C₂²	1	4	yes	complemented
91	#17989212	C₂²	1	4	yes	complemented
92	#17989208	C₂²	1	4	yes	complemented
93	#17989205	C₂²	1	8	yes	complemented
94	#17989204	C₂²	1	4	yes	complemented
95	#17989202	C₂²	1	8	yes	complemented
96	#17989199	C₂²	1	4	yes	complemented
97	#17989197	C₂²	1	4	yes	complemented
98	#17989186	C₂²	1	4	yes	complemented
99	#17989184	C₂²	1	4	yes	complemented
100	#17989182	C₂²	1	4	yes	complemented
101	#17989182	C₂²	1	4	yes	complemented
102	#17989181	C₂²	1	8	yes	complemented
103	#17989180	C₂²	1	8	yes	complemented
104	#17989179	C₂²	1	8	yes	complemented
105	#17989179	C₂²	1	8	yes	complemented
106	#17989175	C₂²	1	4	yes	complemented
107	#17989174	C₂²	1	4	yes	complemented
108	#17989172	C₂²	1	8	yes	complemented
109	#17989172	C₂²	1	8	yes	complemented
110	#17989166	C₂²	1	4	yes	complemented
111	#17989165	C₂²	1	2	yes	complemented
112	#17989165	C₂²	1	4	yes	complemented
113	#17989164	C₂²	1	4	yes	complemented
114	#17989163	C₂²	1	2	yes	complemented
115	#17989160	C₂²	1	4	yes	complemented
116	#17989159	C₂²	1	8	yes	complemented
117	#17989158	C₂²	1	2	yes	complemented
118	#17989158	C₂²	1	4	yes	complemented
119	#17989146	C₂²	1	4	yes	—
120	#17989144	C₂²	1	4	yes	complemented
121	#17989139	C₂²	1	4	yes	complemented
122	#17989121	C₂²	1	4	yes	complemented
123	#17989118	C₂²	1	4	yes	complemented
124	#17989098	C₂²	1	2	yes	—
125	#17989098	C₂²	1	2	yes	—
126	#17989098	C₂²	1	2	yes	—
127	#17989098	C₂²	1	2	yes	—
128	#17989098	C₂²	1	2	yes	complemented
129	#17989098	C₂²	1	2	yes	complemented
130	#17989098	C₂²	1	2	yes	complemented
131	#17989098	C₂²	1	2	yes	complemented
132	#17989098	C₂²	1	4	yes	complemented
133	#17989097	C₂²	1	4	yes	complemented
134	#17989093	C₂²	1	8	yes	complemented
135	#17989093	C₂²	1	8	yes	complemented
136	C₂×#14556574	C₂²	1	2	yes	complemented
137	C₂×#14556570	C₂²	1	2	yes	—
138	C₂×#14556570	C₂²	1	2	yes	—
139	C₂×#14556570	C₂²	1	1	yes	characteristic
140	C₂×#14556570	C₂²	1	2	yes	complemented
141	C₂×#14556570	C₂²	1	2	yes	complemented
142	C₂×#14556570	C₂²	1	2	yes	complemented
143	C₂×#14556570	C₂²	1	2	yes	complemented
144	C₂×#14556570	C₂²	1	2	yes	complemented
145	C₂×#14556570	C₂²	1	2	yes	complemented
146	C₂×#14556570	C₂²	1	1	yes	characteristic, complemented
147	C₂×#14556570	C₂²	1	2	yes	complemented
148	C₂×#14556570	C₂²	1	2	yes	complemented
149	C₂×#14556570	C₂²	1	2	yes	complemented
150	C₂×#14556570	C₂²	1	2	yes	complemented
151	C₂×#14556570	C₂²	1	4	yes	complemented
152	C₂²⋊Q₈×D₇₃	C₂²	1	4	yes	complemented
153	C₂×#14556565	C₂²	1	1	yes	characteristic
154	C₂×#14556565	C₂²	1	1	yes	characteristic, complemented
155	C₂×#14556560	C₂²	1	2	yes	—
156	#17989070	C₂²	1	2	yes	complemented
157	#17989067	C₂²	1	2	yes	complemented
158	#17989066	C₂²	1	8	yes	complemented
159	#17989064	C₂²	1	2	yes	complemented
160	#17989062	C₂²	1	4	yes	—
161	#17989060	C₂²	1	4	yes	—
162	C₂×C₄×C₂²⋊D₇₃	C₂²	1	2	yes	—
163	C₂×C₄×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
164	C₂×#14556550	C₂²	1	1	yes	characteristic, complemented
165	C₂²×C₄⋊Dic₇₃	C₂²	1	1	yes	characteristic, complemented
166	C₂²×#11924007	C₂²	1	2	yes	complemented
167	C₂²×C₂²⋊Dic₇₃	C₂²	1	2	yes	—
168	C₂²×#41×C₇₃	C₂²	1	1	yes	characteristic, complemented
169	C₂⁴×C₄×C₇₃	C₂²	1	1	yes	characteristic
170	#525×C₇₃	C₂²	1	2	yes	—
171	#525×C₇₃	C₂²	1	2	yes	—
172	#525×C₇₃	C₂²	1	2	yes	—
173	#525×C₇₃	C₂²	1	2	yes	—
174	#525×C₇₃	C₂²	1	2	yes	complemented
175	#525×C₇₃	C₂²	1	2	yes	complemented
176	#525×C₇₃	C₂²	1	2	yes	complemented
177	#525×C₇₃	C₂²	1	2	yes	complemented
178	C₂×#123×C₇₃	C₂²	1	2	yes	complemented
179	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic
180	C₂×C₂²⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
181	C₂×#121×C₇₃	C₂²	1	1	yes	characteristic
182	C₂×#121×C₇₃	C₂²	1	1	yes	characteristic, complemented
183	C₂×#120×C₇₃	C₂²	1	2	yes	—
184	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	—
185	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	complemented
186	C₂×#117×C₇₃	C₂²	1	1	yes	characteristic, complemented
187	#14556638	—	4	8	no	—
188	C₂×#11924028	—	4	4	no	—
189	C₂×#11924028	C₂³	1	2	yes	—
190	C₂×#11924028	C₂³	1	2	yes	—
191	C₂×#11924028	C₂³	1	2	yes	—
192	C₂×#11924028	C₂³	1	2	yes	—
193	C₂×#11924028	C₂³	1	4	yes	complemented
194	C₂×#11924027	C₂³	1	8	yes	—
195	C₂×#11924027	C₂³	1	8	yes	—
196	C₂×#11924027	C₂³	1	4	yes	complemented
197	C₂²×Dic₁₄₆	—	4	4	no	—
198	C₂²×Dic₁₄₆	C₂³	1	2	yes	—
199	C₂²×Dic₁₄₆	C₂³	1	2	yes	—
200	C₂²×Dic₁₄₆	C₂³	1	2	yes	—
201	C₂²×Dic₁₄₆	C₂³	1	2	yes	—
202	C₂²×Dic₁₄₆	C₂³	1	2	yes	—
203	C₂²×Dic₁₄₆	C₂³	1	2	yes	—
204	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
205	C₂²×Dic₁₄₆	C₂³	1	4	yes	complemented
206	C₂×Q₈×D₇₃	C₂³	1	4	yes	complemented
207	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
208	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
209	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
210	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
211	C₂³×Dic₇₃	C₂³	1	2	yes	—
212	C₂³×Dic₇₃	C₂³	1	2	yes	—
213	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
214	#14556591	C₂³	1	4	yes	complemented
215	#14556591	C₂³	1	4	yes	complemented
216	#14556590	C₂³	1	4	yes	complemented
217	#14556590	C₂³	1	8	yes	complemented
218	#14556590	C₂³	1	8	yes	complemented
219	#14556590	C₂³	1	8	yes	complemented
220	#14556589	C₂³	1	4	yes	complemented
221	#14556589	C₂³	1	8	yes	complemented
222	#14556586	C₂³	1	8	yes	complemented
223	#14556586	C₂³	1	8	yes	complemented
224	#14556585	C₂³	1	8	yes	complemented
225	#14556584	C₂³	1	8	yes	—
226	#14556584	C₂³	1	8	yes	—
227	#14556584	C₂³	1	8	yes	—
228	#14556584	C₂³	1	8	yes	—
229	#14556584	C₂³	1	8	yes	complemented
230	#14556584	C₂³	1	8	yes	complemented
231	#14556584	C₂³	1	8	yes	complemented
232	#14556583	C₂³	1	4	yes	complemented
233	#14556583	C₂³	1	8	yes	complemented
234	#14556582	C₂³	1	8	yes	complemented
235	#14556582	C₂³	1	8	yes	complemented
236	#14556582	C₂³	1	4	yes	complemented
237	#14556581	C₂³	1	8	yes	complemented
238	#14556581	C₂³	1	8	yes	complemented
239	#14556581	C₂³	1	8	yes	complemented
240	#14556581	C₂³	1	8	yes	complemented
241	#14556581	C₂³	1	8	yes	complemented
242	#14556579	C₂³	1	4	yes	complemented
243	#14556578	C₂³	1	8	yes	—
244	#14556578	C₂³	1	8	yes	—
245	#14556578	C₂³	1	4	yes	complemented
246	#14556577	C₂³	1	8	yes	—
247	#14556577	C₂³	1	8	yes	—
248	#14556577	C₂³	1	8	yes	complemented
249	#14556577	C₂³	1	8	yes	complemented
250	#14556576	C₂³	1	8	yes	complemented
251	#14556575	C₂³	1	8	yes	—
252	#14556575	C₂³	1	8	yes	—
253	#14556575	C₂³	1	8	yes	complemented
254	#14556574	C₂³	1	8	yes	—
255	#14556574	C₂³	1	4	yes	—
256	#14556574	C₂³	1	4	yes	—
257	#14556574	C₂³	1	4	yes	—
258	#14556574	C₂³	1	4	yes	—
259	#14556574	C₂³	1	8	yes	complemented
260	#14556573	C₂³	1	8	yes	—
261	#14556573	C₂³	1	8	yes	—
262	#14556573	C₂³	1	8	yes	complemented
263	#14556573	C₂³	1	8	yes	complemented
264	#14556572	C₂³	1	8	yes	—
265	#14556572	C₂³	1	8	yes	—
266	#14556572	C₂³	1	8	yes	—
267	#14556572	C₂³	1	8	yes	—
268	#14556572	C₂³	1	8	yes	—
269	#14556572	C₂³	1	8	yes	complemented
270	#14556571	C₂³	1	4	yes	complemented
271	#14556571	C₂³	1	4	yes	complemented
272	#14556571	C₂³	1	8	yes	complemented
273	#14556570	C₂³	1	4	yes	—
274	#14556570	C₂³	1	4	yes	—
275	#14556570	C₂³	1	2	yes	—
276	#14556570	C₂³	1	8	yes	—
277	#14556570	C₂³	1	2	yes	—
278	#14556570	C₂³	1	4	yes	—
279	#14556570	C₂³	1	4	yes	—
280	#14556570	C₂³	1	4	yes	—
281	#14556570	C₂³	1	4	yes	—
282	#14556570	C₂³	1	4	yes	—
283	#14556570	C₂³	1	4	yes	—
284	#14556570	C₂³	1	2	yes	—
285	#14556570	C₂³	1	8	yes	—
286	#14556570	C₂³	1	2	yes	—
287	#14556570	C₂³	1	4	yes	—
288	#14556570	C₂³	1	4	yes	—
289	#14556570	C₂³	1	4	yes	—
290	#14556570	C₂³	1	4	yes	—
291	#14556570	C₂³	1	2	yes	—
292	#14556570	C₂³	1	2	yes	—
293	#14556570	C₂³	1	4	yes	—
294	#14556570	C₂³	1	4	yes	—
295	#14556570	C₂³	1	2	yes	—
296	#14556570	C₂³	1	4	yes	—
297	#14556570	C₂³	1	4	yes	—
298	#14556570	C₂³	1	2	yes	—
299	#14556570	C₂³	1	4	yes	complemented
300	#14556570	C₂³	1	4	yes	complemented
301	#14556570	C₂³	1	4	yes	complemented
302	#14556570	C₂³	1	8	yes	complemented
303	#14556569	C₂³	1	8	yes	complemented
304	#14556569	C₂³	1	8	yes	complemented
305	#14556569	C₂³	1	8	yes	complemented
306	#14556569	C₂³	1	8	yes	complemented
307	#14556568	C₂³	1	8	yes	—
308	#14556568	C₂³	1	8	yes	—
309	#14556568	C₂³	1	8	yes	—
310	#14556568	C₂³	1	8	yes	—
311	#14556568	C₂³	1	8	yes	—
312	#14556568	C₂³	1	8	yes	—
313	#14556568	C₂³	1	8	yes	complemented
314	#14556568	C₂³	1	8	yes	complemented
315	#14556568	C₂³	1	8	yes	complemented
316	#14556568	C₂³	1	8	yes	complemented
317	#14556568	C₂³	1	8	yes	complemented
318	#14556567	C₂³	1	4	yes	complemented
319	#14556567	C₂³	1	8	yes	complemented
320	#14556565	C₂³	1	2	yes	—
321	#14556565	C₂³	1	2	yes	—
322	#14556565	C₂³	1	2	yes	—
323	#14556565	C₂³	1	2	yes	—
324	#14556565	C₂³	1	2	yes	—
325	#14556565	C₂³	1	2	yes	—
326	#14556565	C₂³	1	2	yes	—
327	#14556565	C₂³	1	2	yes	—
328	#14556565	C₂³	1	4	yes	complemented
329	#14556564	C₂³	1	8	yes	complemented
330	#14556563	C₂³	1	8	yes	—
331	#14556563	C₂³	1	8	yes	—
332	#14556563	C₂³	1	8	yes	—
333	#14556563	C₂³	1	8	yes	—
334	#14556563	C₂³	1	8	yes	—
335	#14556563	C₂³	1	8	yes	—
336	#14556563	C₂³	1	8	yes	complemented
337	#14556562	C₂³	1	8	yes	—
338	#14556562	C₂³	1	8	yes	—
339	#14556562	C₂³	1	4	yes	complemented
340	#14556560	C₂³	1	8	yes	—
341	#14556560	C₂³	1	4	yes	—
342	#14556560	C₂³	1	4	yes	—
343	#14556560	C₂³	1	4	yes	—
344	#14556560	C₂³	1	4	yes	—
345	#14556559	C₂³	1	8	yes	—
346	Q₈×Dic₇₃	C₂³	1	4	yes	complemented
347	C₄×Dic₁₄₆	C₂³	1	4	yes	complemented
348	C₄×Dic₁₄₆	C₂³	1	4	yes	complemented
349	C₄×Dic₁₄₆	C₂³	1	8	yes	complemented
350	C₄×Dic₁₄₆	C₂³	1	4	yes	complemented
351	#14556556	C₂³	1	4	yes	complemented
352	#14556556	C₂³	1	8	yes	complemented
353	#14556556	C₂³	1	4	yes	complemented
354	C₄×D₂₉₂	C₂³	1	4	yes	complemented
355	D₄×Dic₇₃	C₂³	1	8	yes	—
356	D₄×Dic₇₃	C₂³	1	8	yes	—
357	D₄×Dic₇₃	C₂³	1	8	yes	—
358	D₄×Dic₇₃	C₂³	1	8	yes	—
359	D₄×Dic₇₃	C₂³	1	8	yes	—
360	D₄×Dic₇₃	C₂³	1	8	yes	—
361	D₄×Dic₇₃	C₂³	1	4	yes	complemented
362	C₄×C₂²⋊D₇₃	C₂³	1	8	yes	—
363	C₄×C₂²⋊D₇₃	C₂³	1	4	yes	—
364	C₄×C₂²⋊D₇₃	C₂³	1	4	yes	—
365	C₄×C₂²⋊D₇₃	C₂³	1	8	yes	—
366	C₄×C₂²⋊D₇₃	C₂³	1	4	yes	—
367	C₄×C₂²⋊D₇₃	C₂³	1	4	yes	—
368	C₄×C₂²⋊D₇₃	C₂³	1	4	yes	—
369	C₄×C₂²⋊D₇₃	C₂³	1	4	yes	—
370	C₄×C₂²⋊D₇₃	C₂³	1	4	yes	—
371	C₄×C₂²⋊D₇₃	C₂³	1	4	yes	—
372	C₄×C₂²⋊D₇₃	C₂³	1	8	yes	complemented
373	#14556551	C₂³	1	8	yes	—
374	#14556551	C₂³	1	8	yes	—
375	#14556551	C₂³	1	8	yes	—
376	#14556551	C₂³	1	8	yes	—
377	#14556551	C₂³	1	8	yes	complemented
378	#14556550	C₂³	1	8	yes	—
379	#14556550	C₂³	1	2	yes	—
380	#14556550	C₂³	1	2	yes	—
381	#14556550	C₂³	1	2	yes	—
382	#14556550	C₂³	1	2	yes	—
383	#14556550	C₂³	1	4	yes	complemented
384	#14556549	C₂³	1	4	yes	complemented
385	#14556548	C₂³	1	8	yes	complemented
386	#14556547	C₂³	1	8	yes	—
387	#14556547	C₂³	1	8	yes	—
388	#14556547	C₂³	1	8	yes	—
389	#14556547	C₂³	1	8	yes	complemented
390	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
391	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
392	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
393	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
394	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
395	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
396	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
397	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
398	C₂×C₄⋊Dic₇₃	C₂³	1	4	yes	complemented
399	C₂×#11924007	C₂³	1	4	yes	—
400	C₂×#11924007	C₂³	1	4	yes	—
401	C₂×#11924007	C₂³	1	2	yes	—
402	C₂×#11924007	C₂³	1	4	yes	—
403	C₂×#11924007	C₂³	1	4	yes	—
404	C₂×#11924007	C₂³	1	4	yes	—
405	C₂×#11924007	C₂³	1	4	yes	—
406	C₂×#11924007	C₂³	1	2	yes	—
407	C₂×#11924007	C₂³	1	8	yes	complemented
408	C₄⋊C₄×D₇₃	C₂³	1	4	yes	complemented
409	C₄⋊C₄×D₇₃	C₂³	1	8	yes	complemented
410	C₂×C₂²⋊Dic₇₃	C₂³	1	4	yes	—
411	C₂×C₂²⋊Dic₇₃	C₂³	1	4	yes	—
412	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
413	C₂×C₂²⋊Dic₇₃	C₂³	1	8	yes	—
414	C₂×C₂²⋊Dic₇₃	C₂³	1	4	yes	—
415	C₂×C₂²⋊Dic₇₃	C₂³	1	4	yes	—
416	C₂×C₂²⋊Dic₇₃	C₂³	1	4	yes	—
417	C₂×C₂²⋊Dic₇₃	C₂³	1	4	yes	—
418	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
419	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
420	C₂×#11924005	C₂³	1	2	yes	—
421	C₂×#11924005	C₂³	1	2	yes	—
422	C₂²⋊C₄×D₇₃	C₂³	1	8	yes	—
423	C₂×C₄×Dic₇₃	C₂³	1	2	yes	—
424	C₂⁵×C₇₃	C₂³	1	1	yes	characteristic
425	C₂×#41×C₇₃	—	4	4	no	—
426	C₂×#41×C₇₃	C₂³	1	2	yes	—
427	C₂×#41×C₇₃	C₂³	1	2	yes	—
428	C₂×#41×C₇₃	C₂³	1	2	yes	—
429	C₂×#41×C₇₃	C₂³	1	2	yes	—
430	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
431	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
432	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
433	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
434	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
435	C₂³×C₄×C₇₃	—	4	4	no	—
436	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
437	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
438	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
439	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
440	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
441	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
442	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
443	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
444	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
445	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
446	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
447	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
448	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
449	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
450	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
451	#123×C₇₃	C₂³	1	4	yes	—
452	#123×C₇₃	C₂³	1	4	yes	—
453	#123×C₇₃	C₂³	1	4	yes	—
454	#123×C₇₃	C₂³	1	4	yes	—
455	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
456	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
457	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
458	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
459	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
460	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
461	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
462	C₂²⋊Q₈×C₇₃	C₂³	1	2	yes	—
463	#121×C₇₃	C₂³	1	2	yes	—
464	#121×C₇₃	C₂³	1	2	yes	—
465	#121×C₇₃	C₂³	1	2	yes	—
466	#121×C₇₃	C₂³	1	2	yes	—
467	#121×C₇₃	C₂³	1	2	yes	—
468	#121×C₇₃	C₂³	1	2	yes	—
469	#121×C₇₃	C₂³	1	2	yes	—
470	#121×C₇₃	C₂³	1	2	yes	—
471	#120×C₇₃	C₂³	1	4	yes	—
472	#120×C₇₃	C₂³	1	4	yes	—
473	#120×C₇₃	C₂³	1	4	yes	—
474	#120×C₇₃	C₂³	1	4	yes	—
475	C₄×D₄×C₇₃	C₂³	1	4	yes	—
476	C₄×D₄×C₇₃	C₂³	1	4	yes	—
477	C₄×D₄×C₇₃	C₂³	1	4	yes	—
478	C₄×D₄×C₇₃	C₂³	1	4	yes	—
479	C₄×D₄×C₇₃	C₂³	1	4	yes	—
480	C₄×D₄×C₇₃	C₂³	1	4	yes	—
481	C₄×D₄×C₇₃	C₂³	1	4	yes	—
482	C₄×D₄×C₇₃	C₂³	1	4	yes	—
483	#117×C₇₃	C₂³	1	2	yes	—
484	#117×C₇₃	C₂³	1	2	yes	—
485	#117×C₇₃	C₂³	1	2	yes	—
486	#117×C₇₃	C₂³	1	2	yes	—
487	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
488	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
489	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
490	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
491	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
492	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
493	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
494	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
495	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
496	C₂×C₄²×C₇₃	C₂³	1	2	yes	—
497	C₂³×D₇₃	C₂⁴	1	2	yes	—
498	#11924028	—	2	8	no	—
499	#11924028	—	4	4	no	—
500	#11924028	—	4	8	no	—
501	#11924028	—	4	4	no	—
502	#11924028	—	4	4	no	—
503	#11924027	—	4	8	no	—
504	#11924027	—	4	16	no	—
505	#11924027	—	4	16	no	—
506	C₂×Dic₁₄₆	—	2	8	no	—
507	C₂×Dic₁₄₆	—	4	4	no	—
508	C₂×Dic₁₄₆	—	4	4	no	—
509	C₂×Dic₁₄₆	—	4	4	no	—
510	C₂×Dic₁₄₆	—	4	4	no	—
511	C₂×Dic₁₄₆	—	4	2	no	—
512	C₂×Dic₁₄₆	—	4	8	no	—
513	C₂×Dic₁₄₆	—	4	4	no	—
514	C₂×Dic₁₄₆	C₂⁴	1	4	yes	—
515	C₂×Dic₁₄₆	C₂⁴	1	4	yes	—
516	C₂×Dic₁₄₆	C₂⁴	1	2	yes	—
517	C₂×Dic₁₄₆	C₂⁴	1	8	yes	—
518	C₂×Dic₁₄₆	C₂⁴	1	8	yes	—
519	C₂×Dic₁₄₆	C₂⁴	1	2	yes	—
520	C₂×Dic₁₄₆	C₂⁴	1	4	yes	—
521	C₂×Dic₁₄₆	C₂⁴	1	4	yes	—
522	Q₈×D₇₃	—	4	8	no	—
523	C₂×D₂₉₂	—	4	2	no	—
524	C₂×D₂₉₂	C₂⁴	1	2	yes	—
525	C₂×D₂₉₂	C₂⁴	1	2	yes	—
526	C₂×C₂²⋊D₇₃	—	2	8	no	—
527	C₂×C₂²⋊D₇₃	—	4	4	no	—
528	C₂×C₂²⋊D₇₃	—	4	4	no	—
529	C₂×C₂²⋊D₇₃	C₂⁴	1	4	yes	—
530	C₂×C₂²⋊D₇₃	C₂⁴	1	4	yes	—
531	C₂×C₂²⋊D₇₃	C₂⁴	1	4	yes	—
532	C₂×C₂²⋊D₇₃	C₂⁴	1	4	yes	—
533	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
534	C₂×C₂²⋊D₇₃	C₂⁴	1	4	yes	—
535	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
536	C₂×C₂²⋊D₇₃	C₂⁴	1	4	yes	—
537	C₂²×Dic₇₃	—	4	4	no	—
538	C₂²×Dic₇₃	—	4	4	no	—
539	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
540	C₂²×Dic₇₃	C₂⁴	1	4	yes	—
541	C₂²×Dic₇₃	C₂⁴	1	4	yes	—
542	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
543	C₂²×Dic₇₃	C₂⁴	1	4	yes	—
544	C₂²×Dic₇₃	C₂⁴	1	4	yes	—
545	C₂²×Dic₇₃	C₂⁴	1	4	yes	—
546	C₂²×Dic₇₃	C₂⁴	1	4	yes	—
547	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
548	C₂²×Dic₇₃	C₂⁴	1	8	yes	—
549	C₂²×Dic₇₃	C₂⁴	1	8	yes	—
550	C₂×C₄×D₇₃	—	4	4	no	—
551	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
552	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
553	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
554	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
555	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
556	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
557	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
558	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
559	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
560	C₄⋊Dic₇₃	C₂⁴	1	2	yes	—
561	C₄⋊Dic₇₃	C₂⁴	1	2	yes	—
562	C₄⋊Dic₇₃	C₂⁴	1	2	yes	—
563	C₄⋊Dic₇₃	C₂⁴	1	2	yes	—
564	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
565	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
566	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
567	#11924007	C₂⁴	1	8	yes	—
568	#11924007	C₂⁴	1	8	yes	—
569	#11924007	C₂⁴	1	8	yes	—
570	#11924007	C₂⁴	1	8	yes	—
571	#11924007	C₂⁴	1	8	yes	—
572	#11924007	C₂⁴	1	8	yes	—
573	#11924007	C₂⁴	1	4	yes	—
574	#11924007	C₂⁴	1	4	yes	—
575	#11924007	C₂⁴	1	4	yes	—
576	#11924007	C₂⁴	1	4	yes	—
577	#11924007	C₂⁴	1	8	yes	—
578	#11924007	C₂⁴	1	8	yes	—
579	#11924007	C₂⁴	1	8	yes	—
580	#11924007	C₂⁴	1	8	yes	—
581	#11924007	C₂⁴	1	8	yes	—
582	#11924007	C₂⁴	1	8	yes	—
583	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
584	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
585	C₂²⋊Dic₇₃	C₂⁴	1	4	yes	—
586	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
587	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
588	C₂²⋊Dic₇₃	C₂⁴	1	4	yes	—
589	C₂²⋊Dic₇₃	C₂⁴	1	4	yes	—
590	C₂²⋊Dic₇₃	C₂⁴	1	4	yes	—
591	C₂²⋊Dic₇₃	C₂⁴	1	4	yes	—
592	C₂²⋊Dic₇₃	C₂⁴	1	4	yes	—
593	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
594	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
595	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
596	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
597	#11924005	C₂⁴	1	8	yes	—
598	#11924005	C₂⁴	1	8	yes	—
599	#11924005	C₂⁴	1	4	yes	—
600	#11924005	C₂⁴	1	4	yes	—
601	#11924005	C₂⁴	1	4	yes	—
602	#11924005	C₂⁴	1	4	yes	—
603	#11924005	C₂⁴	1	8	yes	—
604	#11924005	C₂⁴	1	8	yes	—
605	C₄×Dic₇₃	C₂⁴	1	4	yes	—
606	C₄×Dic₇₃	C₂⁴	1	4	yes	—
607	C₄×Dic₇₃	C₂⁴	1	8	yes	—
608	C₄×Dic₇₃	C₂⁴	1	8	yes	—
609	C₄×Dic₇₃	C₂⁴	1	8	yes	—
610	C₄×Dic₇₃	C₂⁴	1	8	yes	—
611	C₂⁴×C₇₃	—	2	4	no	—
612	C₂⁴×C₇₃	—	4	2	no	—
613	C₂⁴×C₇₃	—	4	2	no	—
614	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
615	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
616	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
617	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
618	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
619	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
620	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
621	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
622	#41×C₇₃	—	2	8	no	—
623	#41×C₇₃	—	4	4	no	—
624	#41×C₇₃	—	4	4	no	—
625	#41×C₇₃	—	4	4	no	—
626	C₂×Q₈×C₇₃	—	4	2	no	—
627	C₂×Q₈×C₇₃	C₂⁴	1	2	yes	—
628	C₂×Q₈×C₇₃	C₂⁴	1	2	yes	—
629	C₂×D₄×C₇₃	—	2	8	no	—
630	C₂×D₄×C₇₃	—	4	2	no	—
631	C₂×D₄×C₇₃	—	4	4	no	—
632	C₂×D₄×C₇₃	—	4	4	no	—
633	C₂×D₄×C₇₃	C₂⁴	1	4	yes	—
634	C₂×D₄×C₇₃	C₂⁴	1	4	yes	—
635	C₂×D₄×C₇₃	C₂⁴	1	4	yes	—
636	C₂×D₄×C₇₃	C₂⁴	1	4	yes	—
637	C₂×D₄×C₇₃	C₂⁴	1	2	yes	—
638	C₂×D₄×C₇₃	C₂⁴	1	4	yes	—
639	C₂×D₄×C₇₃	C₂⁴	1	4	yes	—
640	C₂×D₄×C₇₃	C₂⁴	1	2	yes	—
641	C₂²×C₄×C₇₃	—	2	4	no	—
642	C₂²×C₄×C₇₃	—	2	4	no	—
643	C₂²×C₄×C₇₃	—	2	4	no	—
644	C₂²×C₄×C₇₃	—	4	2	no	—
645	C₂²×C₄×C₇₃	—	4	2	no	—
646	C₂²×C₄×C₇₃	—	4	2	no	—
647	C₂²×C₄×C₇₃	—	4	2	no	—
648	C₂²×C₄×C₇₃	—	4	2	no	—
649	C₂²×C₄×C₇₃	—	4	2	no	—
650	C₂²×C₄×C₇₃	—	4	2	no	—
651	C₂²×C₄×C₇₃	—	4	2	no	—
652	C₂²×C₄×C₇₃	—	4	4	no	—
653	C₂²×C₄×C₇₃	—	4	2	no	—
654	C₂²×C₄×C₇₃	—	4	2	no	—
655	C₂²×C₄×C₇₃	—	4	2	no	—
656	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
657	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
658	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
659	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
660	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
661	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
662	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
663	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
664	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
665	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
666	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
667	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
668	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
669	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
670	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
671	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
672	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
673	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
674	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
675	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
676	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
677	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
678	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
679	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
680	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
681	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
682	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
683	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
684	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
685	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
686	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
687	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
688	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
689	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
690	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
691	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
692	C₄⋊C₄×C₇₃	C₂⁴	1	2	yes	—
693	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
694	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
695	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
696	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
697	C₂²⋊C₄×C₇₃	C₂⁴	1	4	yes	—
698	C₂²⋊C₄×C₇₃	C₂⁴	1	4	yes	—
699	C₂²⋊C₄×C₇₃	C₂⁴	1	4	yes	—
700	C₂²⋊C₄×C₇₃	C₂⁴	1	4	yes	—
701	C₂²⋊C₄×C₇₃	C₂⁴	1	4	yes	—
702	C₂²⋊C₄×C₇₃	C₂⁴	1	4	yes	—
703	C₂²⋊C₄×C₇₃	C₂⁴	1	4	yes	—
704	C₂²⋊C₄×C₇₃	C₂⁴	1	4	yes	—
705	C₂²⋊C₄×C₇₃	C₂⁴	1	4	yes	—
706	C₂²⋊C₄×C₇₃	C₂⁴	1	4	yes	—
707	C₄²×C₇₃	C₂⁴	1	4	yes	—
708	C₄²×C₇₃	C₂⁴	1	4	yes	—
709	C₂³×C₇₃	—	2	2	no	—
710	C₂³×C₇₃	—	2	2	no	—
711	C₂³×C₇₃	—	2	2	no	—
712	C₂³×C₇₃	—	2	2	no	—
713	C₂³×C₇₃	—	2	2	no	—
714	C₂³×C₇₃	—	2	2	no	—
715	C₂³×C₇₃	—	2	2	no	—
716	C₂³×C₇₃	—	2	2	no	—
717	C₂³×C₇₃	—	2	2	no	—
718	C₂³×C₇₃	—	2	2	no	—
719	C₂³×C₇₃	—	2	2	no	—
720	C₂³×C₇₃	—	2	2	no	—
721	C₂³×C₇₃	—	2	4	no	—
722	C₂³×C₇₃	—	4	1	no	—
723	C₂³×C₇₃	—	4	1	no	—
724	C₂³×C₇₃	—	4	1	no	—
725	C₂³×C₇₃	—	4	1	no	—
726	C₂³×C₇₃	—	4	1	no	—
727	C₂³×C₇₃	—	4	1	no	—
728	C₂³×C₇₃	—	4	1	no	—
729	C₂³×C₇₃	—	4	1	no	—
730	C₂³×C₇₃	—	4	2	no	—
731	C₂³×C₇₃	—	4	2	no	—
732	C₂³×C₇₃	—	4	16	no	—
733	C₂³×C₇₃	2₋¹⁺⁴	1	4	yes	complemented
734	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
735	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
736	C₂³×C₇₃	C₂⁵	1	4	yes	—
737	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
738	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
739	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
740	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
741	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
742	C₂²×D₇₃	—	2	4	no	—
743	C₂²×D₇₃	—	4	2	no	—
744	C₂²×D₇₃	—	4	2	no	—
745	C₂²×D₇₃	C₂⁵	1	4	yes	—
746	Q₈×C₇₃	—	2	4	no	—
747	Q₈×C₇₃	—	4	2	no	—
748	D₄×C₇₃	—	2	8	no	—
749	D₄×C₇₃	—	2	8	no	—
750	D₄×C₇₃	—	2	8	no	—
751	D₄×C₇₃	—	2	8	no	—
752	D₄×C₇₃	—	2	4	no	—
753	D₄×C₇₃	—	4	4	no	—
754	D₄×C₇₃	—	4	4	no	—
755	D₄×C₇₃	—	4	2	no	—
756	C₂×C₄×C₇₃	—	2	2	no	—
757	C₂×C₄×C₇₃	—	2	2	no	—
758	C₂×C₄×C₇₃	—	2	2	no	—
759	C₂×C₄×C₇₃	—	2	4	no	—
760	C₂×C₄×C₇₃	—	2	2	no	—
761	C₂×C₄×C₇₃	—	2	2	no	—
762	C₂×C₄×C₇₃	—	2	2	no	—
763	C₂×C₄×C₇₃	—	2	2	no	—
764	C₂×C₄×C₇₃	—	2	2	no	—
765	C₂×C₄×C₇₃	—	2	2	no	—
766	C₂×C₄×C₇₃	—	2	2	no	—
767	C₂×C₄×C₇₃	—	2	2	no	—
768	C₂×C₄×C₇₃	—	2	2	no	—
769	C₂×C₄×C₇₃	—	2	2	no	—
770	C₂×C₄×C₇₃	—	2	2	no	—
771	C₂×C₄×C₇₃	—	2	2	no	—
772	C₂×C₄×C₇₃	—	2	8	no	—
773	C₂×C₄×C₇₃	—	4	1	no	—
774	C₂×C₄×C₇₃	—	4	1	no	—
775	C₂×C₄×C₇₃	—	4	1	no	—
776	C₂×C₄×C₇₃	—	4	1	no	—
777	C₂×C₄×C₇₃	—	4	1	no	—
778	C₂×C₄×C₇₃	—	4	1	no	—
779	C₂×C₄×C₇₃	—	4	1	no	—
780	C₂×C₄×C₇₃	—	4	1	no	—
781	C₂×C₄×C₇₃	—	4	1	no	—
782	C₂×C₄×C₇₃	—	4	1	no	—
783	C₂×C₄×C₇₃	—	4	1	no	—
784	C₂×C₄×C₇₃	—	4	1	no	—
785	C₂×C₄×C₇₃	—	4	2	no	—
786	C₂×C₄×C₇₃	—	4	4	no	—
787	C₂×C₄×C₇₃	—	4	2	no	—
788	C₂×C₄×C₇₃	H(5,𝔽₂)	1	4	yes	—
789	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
790	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
791	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
792	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
793	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
794	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
795	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
796	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
797	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
798	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
799	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
800	C₂²⋊D₇₃	—	2	8	no	—
801	C₂²⋊D₇₃	—	2	8	no	—
802	C₂²⋊D₇₃	—	2	8	no	—
803	C₂²⋊D₇₃	—	2	8	no	—
804	C₂²⋊D₇₃	—	4	4	no	—
805	C₂²⋊D₇₃	—	4	4	no	—
806	C₂²⋊D₇₃	—	4	8	no	—
807	C₂²⋊D₇₃	—	4	8	no	—
808	C₂×Dic₇₃	—	2	8	no	—
809	C₂×Dic₇₃	—	2	4	no	—
810	C₂×Dic₇₃	—	2	8	no	—
811	C₂×Dic₇₃	—	4	2	no	—
812	C₂×Dic₇₃	—	4	4	no	—
813	C₂×Dic₇₃	—	4	4	no	—
814	C₂×Dic₇₃	—	4	4	no	—
815	C₂×Dic₇₃	—	4	4	no	—
816	C₂×Dic₇₃	—	4	2	no	—
817	C₂×Dic₇₃	—	4	8	no	—
818	C₂×Dic₇₃	—	4	8	no	—
819	C₂×Dic₇₃	C₂⁵	1	4	yes	—
820	C₂×Dic₇₃	C₂⁵	1	4	yes	—
821	C₂×Dic₇₃	C₂⁵	1	8	yes	—
822	C₂×Dic₇₃	C₂⁵	1	8	yes	—
823	C₂×Dic₇₃	C₂⁵	1	4	yes	—
824	D₂₉₂	—	2	4	no	—
825	D₂₉₂	—	4	2	no	—
826	C₄×D₇₃	—	2	8	no	—
827	C₄×D₇₃	—	4	4	no	—
828	C₄×D₇₃	—	4	8	no	—
829	C₄×D₇₃	—	4	8	no	—
830	Dic₁₄₆	—	2	8	no	—
831	Dic₁₄₆	—	2	8	no	—
832	Dic₁₄₆	—	2	4	no	—
833	Dic₁₄₆	—	4	8	no	—
834	Dic₁₄₆	—	4	4	no	—
835	Dic₁₄₆	—	4	4	no	—
836	Dic₁₄₆	—	4	2	no	—
837	Dic₁₄₆	—	4	8	no	—
838	C₂²×C₇₃	—	2	8	no	—
839	C₂²×C₇₃	—	2	1	no	—
840	C₂²×C₇₃	—	2	1	no	—
841	C₂²×C₇₃	—	2	1	no	—
842	C₂²×C₇₃	—	2	1	no	—
843	C₂²×C₇₃	—	2	1	no	—
844	C₂²×C₇₃	—	2	1	no	—
845	C₂²×C₇₃	—	2	1	no	—
846	C₂²×C₇₃	—	2	1	no	—
847	C₂²×C₇₃	—	2	1	no	—
848	C₂²×C₇₃	—	2	1	no	—
849	C₂²×C₇₃	—	2	4	no	—
850	C₂²×C₇₃	—	2	1	no	—
851	C₂²×C₇₃	—	2	1	no	—
852	C₂²×C₇₃	—	2	4	no	—
853	C₂²×C₇₃	—	2	1	no	—
854	C₂²×C₇₃	—	2	1	no	—
855	C₂²×C₇₃	—	2	4	no	—
856	C₂²×C₇₃	—	2	1	no	—
857	C₂²×C₇₃	—	2	1	no	—
858	C₂²×C₇₃	—	4	4	no	—
859	C₂²×C₇₃	—	4	4	no	—
860	C₂²×C₇₃	—	4	4	no	—
861	C₂²×C₇₃	—	4	4	no	—
862	C₂²×C₇₃	—	4	4	no	—
863	C₂²×C₇₃	—	4	4	no	—
864	C₂²×C₇₃	—	8	4	no	—
865	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	2	yes	—
866	C₂²×C₇₃	C₂×2₋¹⁺⁴	1	2	yes	—
867	C₂²×C₇₃	C₂×2₋¹⁺⁴	1	2	yes	—
868	C₂²×C₇₃	C₂×2₋¹⁺⁴	1	2	yes	—
869	C₂²×C₇₃	#585	1	2	yes	—
870	C₂²×C₇₃	C₂⁶	1	1	yes	characteristic
871	C₂×D₇₃	—	2	4	no	—
872	C₂×D₇₃	—	2	4	no	—
873	C₂×D₇₃	—	2	4	no	—
874	C₂×D₇₃	—	8	4	no	—
875	C₄×C₇₃	—	2	1	no	—
876	C₄×C₇₃	—	2	1	no	—
877	C₄×C₇₃	—	2	4	no	—
878	C₄×C₇₃	—	2	1	no	—
879	C₄×C₇₃	—	2	1	no	—
880	C₄×C₇₃	—	2	1	no	—
881	C₄×C₇₃	—	2	1	no	—
882	C₄×C₇₃	—	2	4	no	—
883	C₄×C₇₃	—	2	4	no	—
884	C₄×C₇₃	C₂×H(5,𝔽₂)	1	2	yes	—
885	C₄×C₇₃	C₂×H(5,𝔽₂)	1	2	yes	—
886	Dic₇₃	—	2	8	no	—
887	Dic₇₃	—	2	4	no	—
888	Dic₇₃	—	2	4	no	—
889	Dic₇₃	—	2	4	no	—
890	Dic₇₃	—	2	8	no	—
891	#62819	—	73	1	no	maximal, Sylow
892	C₂×C₇₃	—	2	2	no	—
893	C₂×C₇₃	—	2	2	no	—
894	C₂×C₇₃	—	2	2	no	—
895	C₂×C₇₃	—	2	2	no	—
896	C₂×C₇₃	—	2	2	no	—
897	C₂×C₇₃	—	4	1	no	—
898	C₂×C₇₃	—	4	1	no	—
899	C₂×C₇₃	—	4	4	no	—
900	C₂×C₇₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
901	C₂×C₇₃	C₂²×2₋¹⁺⁴	1	1	yes	characteristic
902	C₂×C₇₃	C₂×#585	1	1	yes	characteristic
903	D₇₃	—	4	4	no	—
904	#3541	—	73	4	no	—
905	#3541	—	73	4	no	—
906	#3538	—	73	2	no	—
907	#3538	—	73	2	no	—
908	#3536	—	73	2	no	—
909	#3536	—	73	2	no	—
910	#3535	—	73	4	no	—
911	#3535	—	73	4	no	—
912	#3520	—	73	4	no	—
913	#3520	—	73	4	no	—
914	#3505	—	73	2	no	—
915	#3505	—	73	2	no	—
916	#3501	—	73	2	no	—
917	#3501	—	73	2	no	—
918	#3495	—	73	2	no	—
919	#3495	—	73	2	no	—
920	#3492	—	73	4	no	—
921	#3492	—	73	2	no	—
922	#3490	—	73	4	no	—
923	#3489	—	73	2	no	—
924	#3489	—	73	2	no	—
925	#3486	—	73	2	no	—
926	C₂×#525	—	73	1	no	—
927	C₂×#525	D₇₃	1	1	yes	characteristic, complemented
928	C₂²×C₂²⋊Q₈	—	73	1	no	—
929	C₇₃	#62819	1	1	yes	characteristic, complemented, Sylow
930	C₂×2₋¹⁺⁴	—	73	2	no	—
931	C₂²×#41	—	73	1	no	—
932	C₂²×#41	C₂×D₇₃	1	1	yes	characteristic, complemented
933	C₂³×Q₈	—	73	1	no	—
934	C₂⁴×C₄	C₂×D₇₃	1	1	yes	characteristic
935	#563	—	73	8	no	—
936	#563	—	73	8	no	—
937	#562	—	73	8	no	—
938	#562	—	73	8	no	—
939	#556	—	73	4	no	—
940	#556	—	73	4	no	—
941	#554	—	73	8	no	—
942	#554	—	73	4	no	—
943	#554	—	73	4	no	—
944	#554	—	73	8	no	—
945	#554	—	73	4	no	—
946	#554	—	73	8	no	—
947	#554	—	73	4	no	—
948	#554	—	73	8	no	—
949	#553	—	73	8	no	—
950	#553	—	73	4	no	—
951	#553	—	73	4	no	—
952	#553	—	73	8	no	—
953	#552	—	73	8	no	—
954	#552	—	73	4	no	—
955	#552	—	73	4	no	—
956	#552	—	73	4	no	—
957	#552	—	73	4	no	—
958	#552	—	73	8	no	—
959	#552	—	73	4	no	—
960	#552	—	73	4	no	—
961	#551	—	73	8	no	—
962	#551	—	73	8	no	—
963	#551	—	73	8	no	—
964	#551	—	73	8	no	—
965	#551	—	73	8	no	—
966	#551	—	73	8	no	—
967	D₄×Q₈	—	73	4	no	—
968	D₄×Q₈	—	73	4	no	—
969	D₄×Q₈	—	73	4	no	—
970	D₄×Q₈	—	73	4	no	—
971	D₄×Q₈	—	73	4	no	—
972	D₄×Q₈	—	73	4	no	—
973	#548	—	73	4	no	—
974	#548	—	73	4	no	—
975	#548	—	73	4	no	—
976	#548	—	73	4	no	—
977	#548	—	73	4	no	—
978	#548	—	73	4	no	—
979	#547	—	73	8	no	—
980	#547	—	73	4	no	—
981	#547	—	73	8	no	—
982	#547	—	73	4	no	—
983	#547	—	73	4	no	—
984	#547	—	73	4	no	—
985	#546	—	73	8	no	—
986	#546	—	73	4	no	—
987	#546	—	73	8	no	—
988	#546	—	73	8	no	—
989	#546	—	73	8	no	—
990	#546	—	73	4	no	—
991	#544	—	73	4	no	—
992	#544	—	73	4	no	—
993	#544	—	73	2	no	—
994	#544	—	73	4	no	—
995	#543	—	73	4	no	—
996	#543	—	73	4	no	—
997	#543	—	73	4	no	—
998	#542	—	73	8	no	—
999	#542	—	73	4	no	—
1000	#542	—	73	8	no	—
1001	#542	—	73	4	no	—
1002	#541	—	73	4	no	—
1003	#541	—	73	4	no	—
1004	#539	—	73	8	no	—
1005	#539	—	73	8	no	—
1006	#539	—	73	4	no	—
1007	#539	—	73	4	no	—
1008	#539	—	73	4	no	—
1009	#539	—	73	8	no	—
1010	#539	—	73	8	no	—
1011	#539	—	73	4	no	—
1012	#538	—	73	4	no	—
1013	#538	—	73	8	no	—
1014	#538	—	73	8	no	—
1015	#538	—	73	4	no	—
1016	#537	—	73	2	no	—
1017	#537	—	73	4	no	—
1018	#537	—	73	4	no	—
1019	#537	—	73	4	no	—
1020	#536	—	73	2	no	—
1021	#536	—	73	4	no	—
1022	#536	—	73	8	no	—
1023	#536	—	73	4	no	—
1024	#536	—	73	2	no	—
1025	#534	—	73	4	no	—
1026	#533	—	73	4	no	—
1027	#533	—	73	4	no	—
1028	#529	—	73	4	no	—
1029	#529	—	73	4	no	—
1030	#525	—	73	2	no	—
1031	#525	—	73	2	no	—
1032	#525	—	73	2	no	—
1033	#525	—	73	2	no	—
1034	#525	—	73	2	no	—
1035	#525	—	73	2	no	—
1036	#525	—	73	2	no	—
1037	#525	—	73	2	no	—
1038	#525	—	73	4	no	—
1039	#525	—	73	4	no	—
1040	#525	—	73	8	no	—
1041	#525	—	73	8	no	—
1042	#525	C₂×D₇₃	1	2	yes	—
1043	#525	C₂×D₇₃	1	2	yes	—
1044	#525	C₂×D₇₃	1	2	yes	—
1045	#525	C₂×D₇₃	1	2	yes	—
1046	#525	C₂×D₇₃	1	2	yes	complemented
1047	#525	C₂×D₇₃	1	2	yes	complemented
1048	#525	C₂×D₇₃	1	2	yes	complemented
1049	#525	C₂×D₇₃	1	2	yes	complemented
1050	C₂×#123	—	73	2	no	—
1051	C₂×#123	C₂×D₇₃	1	2	yes	complemented
1052	C₂×C₂²⋊Q₈	—	73	2	no	—
1053	C₂×C₂²⋊Q₈	—	73	2	no	—
1054	C₂×C₂²⋊Q₈	—	73	2	no	—
1055	C₂×C₂²⋊Q₈	—	73	2	no	—
1056	C₂×C₂²⋊Q₈	—	73	2	no	—
1057	C₂×C₂²⋊Q₈	—	73	2	no	—
1058	C₂×C₂²⋊Q₈	—	73	2	no	—
1059	C₂×C₂²⋊Q₈	—	73	2	no	—
1060	C₂×C₂²⋊Q₈	—	73	2	no	—
1061	C₂×C₂²⋊Q₈	—	73	2	no	—
1062	C₂×C₂²⋊Q₈	—	73	2	no	—
1063	C₂×C₂²⋊Q₈	—	73	2	no	—
1064	C₂×C₂²⋊Q₈	—	73	1	no	—
1065	C₂×C₂²⋊Q₈	—	73	1	no	—
1066	C₂×C₂²⋊Q₈	—	73	4	no	—
1067	C₂×C₂²⋊Q₈	—	73	4	no	—
1068	C₂×C₂²⋊Q₈	C₂×D₇₃	1	1	yes	characteristic
1069	C₂×C₂²⋊Q₈	C₂×D₇₃	1	1	yes	characteristic, complemented
1070	C₂×#121	—	73	1	no	—
1071	C₂×#121	—	73	1	no	—
1072	C₂×#121	C₂×D₇₃	1	1	yes	characteristic
1073	C₂×#121	C₂×D₇₃	1	1	yes	characteristic, complemented
1074	C₂×#120	—	73	2	no	—
1075	C₂×#120	C₂×D₇₃	1	2	yes	—
1076	#520	—	73	2	no	—
1077	#520	—	73	8	no	—
1078	#520	—	73	2	no	—
1079	#519	—	73	2	no	—
1080	#518	—	73	4	no	—
1081	#518	—	73	4	no	—
1082	C₂×C₄×D₄	—	73	2	no	—
1083	C₂×C₄×D₄	—	73	2	no	—
1084	C₂×C₄×D₄	C₂×D₇₃	1	2	yes	—
1085	C₂×C₄×D₄	C₂×D₇₃	1	2	yes	complemented
1086	C₂×#117	—	73	1	no	—
1087	C₂×#117	C₂×D₇₃	1	1	yes	characteristic, complemented
1088	C₂²×C₄⋊C₄	—	73	2	no	—
1089	C₂²×C₄⋊C₄	—	73	1	no	—
1090	C₂²×C₂²⋊C₄	—	73	2	no	—
1091	C₂⁵	C₂²×D₇₃	1	1	yes	characteristic
1092	2₋¹⁺⁴	—	292	8	no	—
1093	C₂×#41	—	4	4	no	—
1094	C₂×#41	—	292	4	no	—
1095	C₂×#41	—	73	8	no	—
1096	C₂×#41	—	73	8	no	—
1097	C₂×#41	—	73	4	no	—
1098	C₂×#41	—	73	2	no	—
1099	C₂×#41	—	73	2	no	—
1100	C₂×#41	—	73	2	no	—
1101	C₂×#41	—	73	4	no	—
1102	C₂×#41	—	73	2	no	—
1103	C₂×#41	C₂²×D₇₃	1	2	yes	—
1104	C₂×#41	C₂²×D₇₃	1	2	yes	—
1105	C₂×#41	C₂²×D₇₃	1	2	yes	—
1106	C₂×#41	C₂²×D₇₃	1	2	yes	—
1107	C₂²×Q₈	—	292	4	no	—
1108	C₂²×Q₈	—	73	4	no	—
1109	C₂²×Q₈	—	73	2	no	—
1110	C₂²×Q₈	—	73	2	no	—
1111	C₂²×Q₈	—	73	2	no	—
1112	C₂²×Q₈	—	73	2	no	—
1113	C₂²×Q₈	—	73	2	no	—
1114	C₂²×Q₈	—	73	1	no	—
1115	C₂²×Q₈	—	73	4	no	—
1116	C₂²×Q₈	—	73	2	no	—
1117	C₂²×Q₈	C₂²×D₇₃	1	1	yes	characteristic
1118	C₂²×D₄	—	73	2	no	—
1119	C₂²×D₄	—	73	2	no	—
1120	C₂²×D₄	—	73	2	no	—
1121	C₂²×D₄	—	73	1	no	—
1122	C₂²×D₄	C₂²×D₇₃	1	2	yes	—
1123	C₂²×D₄	C₂²×D₇₃	1	2	yes	—
1124	C₂²×D₄	C₂²×D₇₃	1	2	yes	—
1125	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
1126	C₂³×C₄	—	4	4	no	—
1127	C₂³×C₄	—	73	2	no	—
1128	C₂³×C₄	—	73	2	no	—
1129	C₂³×C₄	—	73	2	no	—
1130	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
1131	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
1132	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
1133	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
1134	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
1135	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
1136	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
1137	C₂³×C₄	C₂²×D₇₃	1	2	yes	—
1138	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
1139	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
1140	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
1141	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
1142	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
1143	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
1144	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
1145	C₄⋊Q₈	—	73	4	no	—
1146	C₄⋊Q₈	—	73	8	no	—
1147	C₄⋊Q₈	—	73	4	no	—
1148	C₄⋊Q₈	—	73	8	no	—
1149	C₄⋊Q₈	—	73	8	no	—
1150	C₄⋊Q₈	—	73	8	no	—
1151	C₄⋊Q₈	—	73	4	no	—
1152	C₄⋊Q₈	—	73	4	no	—
1153	#126	—	73	8	no	—
1154	#126	—	73	8	no	—
1155	#126	—	73	8	no	—
1156	#126	—	73	8	no	—
1157	#126	—	73	8	no	—
1158	#126	—	73	8	no	—
1159	#126	—	73	8	no	—
1160	#126	—	73	8	no	—
1161	#126	—	73	8	no	—
1162	#126	—	73	8	no	—
1163	#125	—	73	4	no	—
1164	#125	—	73	8	no	—
1165	#125	—	73	8	no	—
1166	#125	—	73	8	no	—
1167	#125	—	73	8	no	—
1168	#125	—	73	8	no	—
1169	#125	—	73	8	no	—
1170	#125	—	73	8	no	—
1171	#125	—	73	4	no	—
1172	#125	—	73	8	no	—
1173	#124	—	73	4	no	—
1174	#124	—	73	8	no	—
1175	#124	—	73	8	no	—
1176	#124	—	73	8	no	—
1177	#124	—	73	8	no	—
1178	#124	—	73	8	no	—
1179	#124	—	73	8	no	—
1180	#124	—	73	4	no	—
1181	#123	—	73	8	no	—
1182	#123	—	73	8	no	—
1183	#123	—	73	8	no	—
1184	#123	—	73	8	no	—
1185	#123	—	73	8	no	—
1186	#123	—	73	8	no	—
1187	#123	—	73	4	no	—
1188	#123	—	73	4	no	—
1189	#123	—	73	4	no	—
1190	#123	—	73	4	no	—
1191	#123	—	73	8	no	—
1192	#123	—	73	8	no	—
1193	#123	—	73	8	no	—
1194	#123	—	73	8	no	—
1195	#123	—	73	8	no	—
1196	#123	—	73	8	no	—
1197	#123	—	73	8	no	—
1198	#123	—	73	8	no	—
1199	#123	—	73	8	no	—
1200	#123	—	73	8	no	—
1201	#123	C₂²×D₇₃	1	4	yes	—
1202	#123	C₂²×D₇₃	1	4	yes	—
1203	#123	C₂²×D₇₃	1	4	yes	—
1204	#123	C₂²×D₇₃	1	4	yes	—
1205	C₂²⋊Q₈	—	73	4	no	—
1206	C₂²⋊Q₈	—	73	8	no	—
1207	C₂²⋊Q₈	—	73	4	no	—
1208	C₂²⋊Q₈	—	73	4	no	—
1209	C₂²⋊Q₈	—	73	2	no	—
1210	C₂²⋊Q₈	—	73	4	no	—
1211	C₂²⋊Q₈	—	73	4	no	—
1212	C₂²⋊Q₈	—	73	4	no	—
1213	C₂²⋊Q₈	—	73	4	no	—
1214	C₂²⋊Q₈	—	73	4	no	—
1215	C₂²⋊Q₈	—	73	4	no	—
1216	C₂²⋊Q₈	—	73	4	no	—
1217	C₂²⋊Q₈	—	73	4	no	—
1218	C₂²⋊Q₈	—	73	4	no	—
1219	C₂²⋊Q₈	—	73	4	no	—
1220	C₂²⋊Q₈	—	73	4	no	—
1221	C₂²⋊Q₈	—	73	4	no	—
1222	C₂²⋊Q₈	—	73	4	no	—
1223	C₂²⋊Q₈	—	73	4	no	—
1224	C₂²⋊Q₈	—	73	2	no	—
1225	C₂²⋊Q₈	—	73	2	no	—
1226	C₂²⋊Q₈	—	73	2	no	—
1227	C₂²⋊Q₈	—	73	2	no	—
1228	C₂²⋊Q₈	—	73	2	no	—
1229	C₂²⋊Q₈	—	73	2	no	—
1230	C₂²⋊Q₈	—	73	2	no	—
1231	C₂²⋊Q₈	—	73	4	no	—
1232	C₂²⋊Q₈	—	73	4	no	—
1233	C₂²⋊Q₈	—	73	8	no	—
1234	C₂²⋊Q₈	—	73	8	no	—
1235	C₂²⋊Q₈	—	73	4	no	—
1236	C₂²⋊Q₈	—	73	8	no	—
1237	C₂²⋊Q₈	—	73	4	no	—
1238	C₂²⋊Q₈	—	73	8	no	—
1239	C₂²⋊Q₈	—	73	4	no	—
1240	C₂²⋊Q₈	—	73	8	no	—
1241	C₂²⋊Q₈	—	73	8	no	—
1242	C₂²⋊Q₈	—	73	8	no	—
1243	C₂²⋊Q₈	—	73	8	no	—
1244	C₂²⋊Q₈	—	73	8	no	—
1245	C₂²⋊Q₈	—	73	8	no	—
1246	C₂²⋊Q₈	—	73	8	no	—
1247	C₂²⋊Q₈	—	73	8	no	—
1248	C₂²⋊Q₈	—	73	8	no	—
1249	C₂²⋊Q₈	—	73	8	no	—
1250	C₂²⋊Q₈	—	73	8	no	—
1251	C₂²⋊Q₈	—	73	8	no	—
1252	C₂²⋊Q₈	—	73	8	no	—
1253	C₂²⋊Q₈	—	73	8	no	—
1254	C₂²⋊Q₈	—	73	8	no	—
1255	C₂²⋊Q₈	C₂²×D₇₃	1	2	yes	—
1256	C₂²⋊Q₈	C₂²×D₇₃	1	2	yes	—
1257	C₂²⋊Q₈	C₂²×D₇₃	1	2	yes	—
1258	C₂²⋊Q₈	C₂²×D₇₃	1	2	yes	—
1259	C₂²⋊Q₈	C₂²×D₇₃	1	2	yes	—
1260	C₂²⋊Q₈	C₂²×D₇₃	1	2	yes	—
1261	C₂²⋊Q₈	C₂²×D₇₃	1	2	yes	—
1262	C₂²⋊Q₈	C₂²×D₇₃	1	2	yes	—
1263	#121	—	73	8	no	—
1264	#121	—	73	8	no	—
1265	#121	—	73	4	no	—
1266	#121	—	73	8	no	—
1267	#121	—	73	8	no	—
1268	#121	—	73	8	no	—
1269	#121	—	73	8	no	—
1270	#121	—	73	8	no	—
1271	#121	—	73	8	no	—
1272	#121	—	73	8	no	—
1273	#121	—	73	2	no	—
1274	#121	—	73	2	no	—
1275	#121	—	73	2	no	—
1276	#121	—	73	2	no	—
1277	#121	—	73	2	no	—
1278	#121	—	73	2	no	—
1279	#121	—	73	2	no	—
1280	#121	—	73	2	no	—
1281	#121	—	73	4	no	—
1282	#121	—	73	8	no	—
1283	#121	C₂²×D₇₃	1	2	yes	—
1284	#121	C₂²×D₇₃	1	2	yes	—
1285	#121	C₂²×D₇₃	1	2	yes	—
1286	#121	C₂²×D₇₃	1	2	yes	—
1287	#121	C₂²×D₇₃	1	2	yes	—
1288	#121	C₂²×D₇₃	1	2	yes	—
1289	#121	C₂²×D₇₃	1	2	yes	—
1290	#121	C₂²×D₇₃	1	2	yes	—
1291	#120	—	73	4	no	—
1292	#120	—	73	4	no	—
1293	#120	—	73	4	no	—
1294	#120	—	73	4	no	—
1295	#120	—	73	8	no	—
1296	#120	—	73	8	no	—
1297	#120	C₂²×D₇₃	1	4	yes	—
1298	#120	C₂²×D₇₃	1	4	yes	—
1299	#120	C₂²×D₇₃	1	4	yes	—
1300	#120	C₂²×D₇₃	1	4	yes	—
1301	C₄×Q₈	—	73	4	no	—
1302	C₄×Q₈	—	73	4	no	—
1303	C₄×Q₈	—	73	4	no	—
1304	C₄×Q₈	—	73	8	no	—
1305	C₄×Q₈	—	73	4	no	—
1306	C₄×Q₈	—	73	4	no	—
1307	C₄×Q₈	—	73	4	no	—
1308	C₄×Q₈	—	73	8	no	—
1309	C₄×D₄	—	73	8	no	—
1310	C₄×D₄	—	73	8	no	—
1311	C₄×D₄	—	73	8	no	—
1312	C₄×D₄	—	73	8	no	—
1313	C₄×D₄	—	73	8	no	—
1314	C₄×D₄	—	73	8	no	—
1315	C₄×D₄	—	73	4	no	—
1316	C₄×D₄	—	73	4	no	—
1317	C₄×D₄	—	73	4	no	—
1318	C₄×D₄	—	73	4	no	—
1319	C₄×D₄	—	73	4	no	—
1320	C₄×D₄	—	73	4	no	—
1321	C₄×D₄	—	73	4	no	—
1322	C₄×D₄	—	73	4	no	—
1323	C₄×D₄	—	73	4	no	—
1324	C₄×D₄	—	73	8	no	—
1325	C₄×D₄	—	73	8	no	—
1326	C₄×D₄	—	73	8	no	—
1327	C₄×D₄	—	73	8	no	—
1328	C₄×D₄	—	73	8	no	—
1329	C₄×D₄	—	73	8	no	—
1330	C₄×D₄	—	73	8	no	—
1331	C₄×D₄	—	73	8	no	—
1332	C₄×D₄	—	73	4	no	—
1333	C₄×D₄	C₂²×D₇₃	1	4	yes	—
1334	C₄×D₄	C₂²×D₇₃	1	4	yes	—
1335	C₄×D₄	C₂²×D₇₃	1	4	yes	—
1336	C₄×D₄	C₂²×D₇₃	1	4	yes	—
1337	C₄×D₄	C₂²×D₇₃	1	4	yes	—
1338	C₄×D₄	C₂²×D₇₃	1	4	yes	—
1339	C₄×D₄	C₂²×D₇₃	1	4	yes	—
1340	C₄×D₄	C₂²×D₇₃	1	4	yes	—
1341	#117	—	73	2	no	—
1342	#117	—	73	2	no	—
1343	#117	—	73	2	no	—
1344	#117	—	73	2	no	—
1345	#117	—	73	8	no	—
1346	#117	—	73	4	no	—
1347	#117	—	73	4	no	—
1348	#117	—	73	8	no	—
1349	#117	—	73	8	no	—
1350	#117	—	73	8	no	—
1351	#117	—	73	8	no	—
1352	#117	—	73	8	no	—
1353	#117	C₂²×D₇₃	1	2	yes	—
1354	#117	C₂²×D₇₃	1	2	yes	—
1355	#117	C₂²×D₇₃	1	2	yes	—
1356	#117	C₂²×D₇₃	1	2	yes	—
1357	C₂×C₄⋊C₄	—	73	2	no	—
1358	C₂×C₄⋊C₄	—	73	4	no	—
1359	C₂×C₄⋊C₄	—	73	4	no	—
1360	C₂×C₄⋊C₄	—	73	2	no	—
1361	C₂×C₄⋊C₄	—	73	4	no	—
1362	C₂×C₄⋊C₄	—	73	4	no	—
1363	C₂×C₄⋊C₄	—	73	2	no	—
1364	C₂×C₄⋊C₄	—	73	2	no	—
1365	C₂×C₄⋊C₄	—	73	4	no	—
1366	C₂×C₄⋊C₄	—	73	4	no	—
1367	C₂×C₄⋊C₄	—	73	2	no	—
1368	C₂×C₄⋊C₄	—	73	2	no	—
1369	C₂×C₄⋊C₄	—	73	1	no	—
1370	C₂×C₄⋊C₄	—	73	1	no	—
1371	C₂×C₄⋊C₄	—	73	2	no	—
1372	C₂×C₄⋊C₄	—	73	2	no	—
1373	C₂×C₄⋊C₄	—	73	4	no	—
1374	C₂×C₄⋊C₄	—	73	8	no	—
1375	C₂×C₄⋊C₄	—	73	4	no	—
1376	C₂×C₄⋊C₄	—	73	8	no	—
1377	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1378	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1379	C₂×C₄⋊C₄	C₂²×D₇₃	1	2	yes	—
1380	C₂×C₄⋊C₄	C₂²×D₇₃	1	2	yes	—
1381	C₂×C₂²⋊C₄	—	73	4	no	—
1382	C₂×C₂²⋊C₄	—	73	4	no	—
1383	C₂×C₂²⋊C₄	—	73	4	no	—
1384	C₂×C₂²⋊C₄	—	73	4	no	—
1385	C₂×C₂²⋊C₄	—	73	4	no	—
1386	C₂×C₂²⋊C₄	—	73	4	no	—
1387	C₂×C₂²⋊C₄	—	73	2	no	—
1388	C₂×C₂²⋊C₄	—	73	2	no	—
1389	C₂×C₂²⋊C₄	—	73	2	no	—
1390	C₂×C₂²⋊C₄	—	73	8	no	—
1391	C₂×C₂²⋊C₄	—	73	2	no	—
1392	C₂×C₂²⋊C₄	—	73	2	no	—
1393	C₂×C₂²⋊C₄	—	73	8	no	—
1394	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1395	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1396	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1397	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1398	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1399	C₂×C₄²	—	73	2	no	—
1400	C₂×C₄²	C₂²×D₇₃	1	2	yes	—
1401	C₂⁴	—	2	4	no	—
1402	C₂⁴	—	4	2	no	—
1403	C₂⁴	—	4	2	no	—
1404	C₂⁴	—	73	2	no	—
1405	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1406	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1407	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1408	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1409	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1410	C₂⁴	C₂³×D₇₃	1	2	yes	—
1411	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1412	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1413	#41	—	2	8	no	—
1414	#41	—	4	4	no	—
1415	#41	—	4	4	no	—
1416	#41	—	4	4	no	—
1417	#41	—	292	4	no	—
1418	#41	—	292	8	no	—
1419	#41	—	292	4	no	—
1420	#41	—	292	4	no	—
1421	#41	—	292	8	no	—
1422	#41	—	292	16	no	—
1423	#41	—	292	16	no	—
1424	#41	—	146	8	no	—
1425	C₂×Q₈	—	4	2	no	—
1426	C₂×Q₈	—	292	4	no	—
1427	C₂×Q₈	—	292	4	no	—
1428	C₂×Q₈	—	292	4	no	—
1429	C₂×Q₈	—	292	4	no	—
1430	C₂×Q₈	—	292	2	no	—
1431	C₂×Q₈	—	292	8	no	—
1432	C₂×Q₈	—	292	4	no	—
1433	C₂×Q₈	—	292	8	no	—
1434	C₂×Q₈	—	73	8	no	—
1435	C₂×Q₈	—	73	4	no	—
1436	C₂×Q₈	—	73	4	no	—
1437	C₂×Q₈	—	73	2	no	—
1438	C₂×Q₈	—	73	8	no	—
1439	C₂×Q₈	—	73	4	no	—
1440	C₂×Q₈	—	73	4	no	—
1441	C₂×Q₈	—	73	2	no	—
1442	C₂×Q₈	—	146	8	no	—
1443	C₂×Q₈	C₂³×D₇₃	1	2	yes	—
1444	C₂×Q₈	C₂³×D₇₃	1	2	yes	—
1445	C₂×D₄	—	2	8	no	—
1446	C₂×D₄	—	4	2	no	—
1447	C₂×D₄	—	4	4	no	—
1448	C₂×D₄	—	4	4	no	—
1449	C₂×D₄	—	292	2	no	—
1450	C₂×D₄	—	292	4	no	—
1451	C₂×D₄	—	292	4	no	—
1452	C₂×D₄	—	73	8	no	—
1453	C₂×D₄	—	73	4	no	—
1454	C₂×D₄	—	73	8	no	—
1455	C₂×D₄	—	73	4	no	—
1456	C₂×D₄	—	73	4	no	—
1457	C₂×D₄	—	73	4	no	—
1458	C₂×D₄	—	73	4	no	—
1459	C₂×D₄	—	73	4	no	—
1460	C₂×D₄	—	73	2	no	—
1461	C₂×D₄	—	73	2	no	—
1462	C₂×D₄	—	146	8	no	—
1463	C₂×D₄	C₂³×D₇₃	1	4	yes	—
1464	C₂×D₄	C₂³×D₇₃	1	4	yes	—
1465	C₂×D₄	C₂³×D₇₃	1	4	yes	—
1466	C₂×D₄	C₂³×D₇₃	1	4	yes	—
1467	C₂×D₄	C₂³×D₇₃	1	2	yes	—
1468	C₂×D₄	C₂³×D₇₃	1	4	yes	—
1469	C₂×D₄	C₂³×D₇₃	1	4	yes	—
1470	C₂×D₄	C₂³×D₇₃	1	2	yes	—
1471	C₂²×C₄	—	2	4	no	—
1472	C₂²×C₄	—	2	4	no	—
1473	C₂²×C₄	—	2	4	no	—
1474	C₂²×C₄	—	4	2	no	—
1475	C₂²×C₄	—	4	2	no	—
1476	C₂²×C₄	—	4	2	no	—
1477	C₂²×C₄	—	4	2	no	—
1478	C₂²×C₄	—	4	2	no	—
1479	C₂²×C₄	—	4	2	no	—
1480	C₂²×C₄	—	4	2	no	—
1481	C₂²×C₄	—	4	2	no	—
1482	C₂²×C₄	—	4	4	no	—
1483	C₂²×C₄	—	4	2	no	—
1484	C₂²×C₄	—	4	2	no	—
1485	C₂²×C₄	—	4	2	no	—
1486	C₂²×C₄	—	292	4	no	—
1487	C₂²×C₄	—	292	4	no	—
1488	C₂²×C₄	—	292	4	no	—
1489	C₂²×C₄	—	73	2	no	—
1490	C₂²×C₄	—	73	4	no	—
1491	C₂²×C₄	—	73	4	no	—
1492	C₂²×C₄	—	73	4	no	—
1493	C₂²×C₄	—	73	4	no	—
1494	C₂²×C₄	—	73	2	no	—
1495	C₂²×C₄	—	73	8	no	—
1496	C₂²×C₄	—	73	8	no	—
1497	C₂²×C₄	—	73	8	no	—
1498	C₂²×C₄	—	73	8	no	—
1499	C₂²×C₄	—	73	4	no	—
1500	C₂²×C₄	—	73	2	no	—
1501	C₂²×C₄	—	73	4	no	—
1502	C₂²×C₄	—	73	4	no	—
1503	C₂²×C₄	—	73	4	no	—
1504	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1505	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1506	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
1507	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1508	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1509	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1510	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1511	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1512	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1513	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1514	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1515	C₂²×C₄	C₂³×D₇₃	1	4	yes	—
1516	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1517	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1518	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1519	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1520	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1521	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
1522	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1523	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1524	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1525	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
1526	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1527	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1528	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1529	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1530	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1531	C₂²×C₄	C₂³×D₇₃	1	4	yes	—
1532	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1533	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1534	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1535	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1536	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1537	C₄⋊C₄	—	73	8	no	—
1538	C₄⋊C₄	—	73	8	no	—
1539	C₄⋊C₄	—	73	4	no	—
1540	C₄⋊C₄	—	73	8	no	—
1541	C₄⋊C₄	—	73	8	no	—
1542	C₄⋊C₄	—	73	8	no	—
1543	C₄⋊C₄	—	73	4	no	—
1544	C₄⋊C₄	—	73	4	no	—
1545	C₄⋊C₄	—	73	4	no	—
1546	C₄⋊C₄	—	73	8	no	—
1547	C₄⋊C₄	—	73	8	no	—
1548	C₄⋊C₄	—	73	8	no	—
1549	C₄⋊C₄	—	73	8	no	—
1550	C₄⋊C₄	—	73	8	no	—
1551	C₄⋊C₄	—	73	8	no	—
1552	C₄⋊C₄	—	73	8	no	—
1553	C₄⋊C₄	—	73	4	no	—
1554	C₄⋊C₄	—	73	4	no	—
1555	C₄⋊C₄	—	73	2	no	—
1556	C₄⋊C₄	—	73	4	no	—
1557	C₄⋊C₄	—	73	4	no	—
1558	C₄⋊C₄	—	73	2	no	—
1559	C₄⋊C₄	—	73	2	no	—
1560	C₄⋊C₄	—	73	2	no	—
1561	C₄⋊C₄	—	73	8	no	—
1562	C₄⋊C₄	—	73	8	no	—
1563	C₄⋊C₄	—	73	8	no	—
1564	C₄⋊C₄	—	73	8	no	—
1565	C₄⋊C₄	C₂³×D₇₃	1	2	yes	—
1566	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1567	C₄⋊C₄	C₂³×D₇₃	1	2	yes	—
1568	C₄⋊C₄	C₂³×D₇₃	1	2	yes	—
1569	C₄⋊C₄	C₂³×D₇₃	1	2	yes	—
1570	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1571	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1572	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1573	C₂²⋊C₄	—	73	8	no	—
1574	C₂²⋊C₄	—	73	8	no	—
1575	C₂²⋊C₄	—	73	4	no	—
1576	C₂²⋊C₄	—	73	8	no	—
1577	C₂²⋊C₄	—	73	8	no	—
1578	C₂²⋊C₄	—	73	4	no	—
1579	C₂²⋊C₄	—	73	4	no	—
1580	C₂²⋊C₄	—	73	4	no	—
1581	C₂²⋊C₄	—	73	4	no	—
1582	C₂²⋊C₄	—	73	4	no	—
1583	C₂²⋊C₄	—	73	8	no	—
1584	C₂²⋊C₄	—	73	8	no	—
1585	C₂²⋊C₄	—	73	8	no	—
1586	C₂²⋊C₄	—	73	8	no	—
1587	C₂²⋊C₄	—	73	4	no	—
1588	C₂²⋊C₄	—	73	4	no	—
1589	C₂²⋊C₄	—	73	8	no	—
1590	C₂²⋊C₄	—	73	8	no	—
1591	C₂²⋊C₄	—	73	4	no	—
1592	C₂²⋊C₄	—	73	4	no	—
1593	C₂²⋊C₄	—	73	8	no	—
1594	C₂²⋊C₄	—	73	8	no	—
1595	C₂²⋊C₄	C₂³×D₇₃	1	4	yes	—
1596	C₂²⋊C₄	C₂³×D₇₃	1	4	yes	—
1597	C₂²⋊C₄	C₂³×D₇₃	1	4	yes	—
1598	C₂²⋊C₄	C₂³×D₇₃	1	4	yes	—
1599	C₂²⋊C₄	C₂³×D₇₃	1	4	yes	—
1600	C₂²⋊C₄	C₂³×D₇₃	1	4	yes	—
1601	C₂²⋊C₄	C₂³×D₇₃	1	4	yes	—
1602	C₂²⋊C₄	C₂³×D₇₃	1	4	yes	—
1603	C₂²⋊C₄	C₂³×D₇₃	1	4	yes	—
1604	C₂²⋊C₄	C₂³×D₇₃	1	4	yes	—
1605	C₄²	—	73	4	no	—
1606	C₄²	—	73	4	no	—
1607	C₄²	—	73	8	no	—
1608	C₄²	—	73	8	no	—
1609	C₄²	—	73	8	no	—
1610	C₄²	—	73	8	no	—
1611	C₄²	C₂³×D₇₃	1	4	yes	—
1612	C₄²	C₂³×D₇₃	1	4	yes	—
1613	C₂³	—	2	2	no	—
1614	C₂³	—	2	2	no	—
1615	C₂³	—	2	2	no	—
1616	C₂³	—	2	2	no	—
1617	C₂³	—	2	2	no	—
1618	C₂³	—	2	2	no	—
1619	C₂³	—	2	2	no	—
1620	C₂³	—	2	2	no	—
1621	C₂³	—	2	2	no	—
1622	C₂³	—	2	2	no	—
1623	C₂³	—	2	2	no	—
1624	C₂³	—	2	2	no	—
1625	C₂³	—	2	4	no	—
1626	C₂³	—	4	1	no	—
1627	C₂³	—	4	1	no	—
1628	C₂³	—	4	1	no	—
1629	C₂³	—	4	1	no	—
1630	C₂³	—	4	1	no	—
1631	C₂³	—	4	1	no	—
1632	C₂³	—	4	1	no	—
1633	C₂³	—	4	1	no	—
1634	C₂³	—	4	2	no	—
1635	C₂³	—	4	2	no	—
1636	C₂³	—	4	16	no	—
1637	C₂³	—	292	2	no	—
1638	C₂³	—	292	2	no	—
1639	C₂³	—	73	4	no	—
1640	C₂³	—	146	4	no	—
1641	C₂³	#14556638	1	4	yes	complemented
1642	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1643	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1644	C₂³	C₂⁴×D₇₃	1	4	yes	—
1645	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1646	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1647	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1648	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1649	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1650	Q₈	—	2	4	no	—
1651	Q₈	—	4	2	no	—
1652	Q₈	—	292	4	no	—
1653	Q₈	—	292	4	no	—
1654	Q₈	—	292	8	no	—
1655	Q₈	—	292	2	no	—
1656	Q₈	—	292	8	no	—
1657	Q₈	—	146	8	no	—
1658	Q₈	—	146	8	no	—
1659	Q₈	—	146	4	no	—
1660	D₄	—	2	8	no	—
1661	D₄	—	2	8	no	—
1662	D₄	—	2	8	no	—
1663	D₄	—	2	8	no	—
1664	D₄	—	2	4	no	—
1665	D₄	—	4	2	no	—
1666	D₄	—	4	4	no	—
1667	D₄	—	4	4	no	—
1668	D₄	—	292	2	no	—
1669	D₄	—	292	4	no	—
1670	D₄	—	292	4	no	—
1671	D₄	—	292	8	no	—
1672	D₄	—	292	8	no	—
1673	D₄	—	146	8	no	—
1674	D₄	—	146	8	no	—
1675	D₄	—	146	8	no	—
1676	D₄	—	146	8	no	—
1677	D₄	—	146	4	no	—
1678	C₂×C₄	—	2	2	no	—
1679	C₂×C₄	—	2	2	no	—
1680	C₂×C₄	—	2	2	no	—
1681	C₂×C₄	—	2	4	no	—
1682	C₂×C₄	—	2	2	no	—
1683	C₂×C₄	—	2	2	no	—
1684	C₂×C₄	—	2	2	no	—
1685	C₂×C₄	—	2	2	no	—
1686	C₂×C₄	—	2	2	no	—
1687	C₂×C₄	—	2	2	no	—
1688	C₂×C₄	—	2	2	no	—
1689	C₂×C₄	—	2	2	no	—
1690	C₂×C₄	—	2	2	no	—
1691	C₂×C₄	—	2	2	no	—
1692	C₂×C₄	—	2	2	no	—
1693	C₂×C₄	—	2	2	no	—
1694	C₂×C₄	—	2	8	no	—
1695	C₂×C₄	—	4	1	no	—
1696	C₂×C₄	—	4	1	no	—
1697	C₂×C₄	—	4	1	no	—
1698	C₂×C₄	—	4	1	no	—
1699	C₂×C₄	—	4	1	no	—
1700	C₂×C₄	—	4	1	no	—
1701	C₂×C₄	—	4	1	no	—
1702	C₂×C₄	—	4	1	no	—
1703	C₂×C₄	—	4	1	no	—
1704	C₂×C₄	—	4	1	no	—
1705	C₂×C₄	—	4	1	no	—
1706	C₂×C₄	—	4	1	no	—
1707	C₂×C₄	—	4	2	no	—
1708	C₂×C₄	—	4	4	no	—
1709	C₂×C₄	—	4	2	no	—
1710	C₂×C₄	—	292	4	no	—
1711	C₂×C₄	—	292	8	no	—
1712	C₂×C₄	—	292	8	no	—
1713	C₂×C₄	—	292	2	no	—
1714	C₂×C₄	—	292	4	no	—
1715	C₂×C₄	—	292	4	no	—
1716	C₂×C₄	—	292	4	no	—
1717	C₂×C₄	—	292	4	no	—
1718	C₂×C₄	—	292	2	no	—
1719	C₂×C₄	—	292	8	no	—
1720	C₂×C₄	—	292	8	no	—
1721	C₂×C₄	—	73	4	no	—
1722	C₂×C₄	—	73	4	no	—
1723	C₂×C₄	—	73	8	no	—
1724	C₂×C₄	—	73	8	no	—
1725	C₂×C₄	—	73	4	no	—
1726	C₂×C₄	—	146	8	no	—
1727	C₂×C₄	—	146	4	no	—
1728	C₂×C₄	—	146	8	no	—
1729	C₂×C₄	—	146	8	no	—
1730	C₂×C₄	#14556636	1	4	yes	—
1731	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1732	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1733	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1734	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1735	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1736	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1737	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1738	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1739	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1740	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1741	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1742	C₂²	—	2	8	no	—
1743	C₂²	—	2	1	no	—
1744	C₂²	—	2	1	no	—
1745	C₂²	—	2	1	no	—
1746	C₂²	—	2	1	no	—
1747	C₂²	—	2	1	no	—
1748	C₂²	—	2	1	no	—
1749	C₂²	—	2	1	no	—
1750	C₂²	—	2	1	no	—
1751	C₂²	—	2	1	no	—
1752	C₂²	—	2	1	no	—
1753	C₂²	—	2	1	no	—
1754	C₂²	—	2	1	no	—
1755	C₂²	—	2	4	no	—
1756	C₂²	—	2	4	no	—
1757	C₂²	—	2	1	no	—
1758	C₂²	—	2	1	no	—
1759	C₂²	—	2	4	no	—
1760	C₂²	—	2	1	no	—
1761	C₂²	—	2	1	no	—
1762	C₂²	—	4	4	no	—
1763	C₂²	—	4	4	no	—
1764	C₂²	—	4	4	no	—
1765	C₂²	—	4	4	no	—
1766	C₂²	—	4	4	no	—
1767	C₂²	—	4	4	no	—
1768	C₂²	—	8	4	no	—
1769	C₂²	—	584	4	no	—
1770	C₂²	—	146	4	no	—
1771	C₂²	—	146	4	no	—
1772	C₂²	—	146	4	no	—
1773	C₂²	C₂×#14556636	1	2	yes	—
1774	C₂²	C₂×#14556638	1	2	yes	—
1775	C₂²	C₂×#14556638	1	2	yes	—
1776	C₂²	C₂×#14556638	1	2	yes	—
1777	C₂²	#17989423	1	2	yes	—
1778	C₂²	C₂⁵×D₇₃	1	1	yes	characteristic
1779	C₄	—	2	1	no	—
1780	C₄	—	2	1	no	—
1781	C₄	—	2	1	no	—
1782	C₄	—	2	1	no	—
1783	C₄	—	2	1	no	—
1784	C₄	—	2	1	no	—
1785	C₄	—	2	4	no	—
1786	C₄	—	2	4	no	—
1787	C₄	—	2	4	no	—
1788	C₄	—	146	4	no	—
1789	C₄	—	146	8	no	—
1790	C₄	—	146	4	no	—
1791	C₄	—	146	8	no	—
1792	C₄	—	146	4	no	—
1793	C₄	C₂×#14556636	1	2	yes	—
1794	C₄	C₂×#14556636	1	2	yes	—
1795	C₂	—	2	2	no	—
1796	C₂	—	2	2	no	—
1797	C₂	—	2	2	no	—
1798	C₂	—	2	2	no	—
1799	C₂	—	2	2	no	—
1800	C₂	—	4	1	no	—
1801	C₂	—	4	1	no	—
1802	C₂	—	4	4	no	—
1803	C₂	—	292	4	no	—
1804	C₂	C₂²×#14556636	1	1	yes	characteristic
1805	C₂	C₂²×#14556638	1	1	yes	characteristic
1806	C₂	C₂×#17989423	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₇₃
commutator, socle, cosocle	C₂²×C₇₃	C₂⁶
Fitting	C₂×#525×C₇₃	C₂
hypercenter	C₂×#525	D₇₃
hypocenter	C₇₃	#62819
LCS	G ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ C₂×#525

Complements

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

N	H ≅ G/N	type
1. #22624224	C₂	semidirect
2. #22624216	C₂	semidirect
3. #22624180	C₂	semidirect
4. #22624176	C₂	semidirect
5. #22624158	C₂	semidirect
6. #22624153	C₂	semidirect
7. #22624144	C₂	semidirect
8. #22624134	C₂	semidirect
9. #22623980	C₂	semidirect
10. #22623968	C₂	semidirect
11. #22623770	C₂	semidirect
12. #22623765	C₂	semidirect
13. #22623734	C₂	semidirect
14. #22623727	C₂	semidirect
15. #22623685	C₂	semidirect
16. #22623683	C₂	semidirect
17. #22623637	C₂	semidirect
18. #22623632	C₂	semidirect
19. #22623618	C₂	semidirect
20. #22623611	C₂	semidirect
21. #22623603	C₂	semidirect
22. #22623578	C₂	semidirect
23. C₂×#17989098	C₂	semidirect
24. C₂²×#14556570	C₂	semidirect
25. C₂×#525×C₇₃	C₂	semidirect
26. C₂×#14556638	C₂²	semidirect
27. C₂²×#11924028	C₂²	semidirect
28. C₂³×Dic₁₄₆	C₂²	semidirect
29. #17989340	C₂²	semidirect
30. #17989338	C₂²	semidirect
31. #17989334	C₂²	semidirect
32. #17989332	C₂²	semidirect
33. #17989307	C₂²	semidirect
34. #17989305	C₂²	semidirect
35. #17989296	C₂²	semidirect
36. #17989296	C₂²	semidirect
37. #17989295	C₂²	semidirect
38. #17989294	C₂²	semidirect
39. #17989294	C₂²	semidirect
40. #17989292	C₂²	semidirect
41. #17989292	C₂²	semidirect
42. #17989291	C₂²	semidirect
43. #17989289	C₂²	semidirect
44. #17989286	C₂²	semidirect
45. #17989283	C₂²	semidirect
46. #17989280	C₂²	semidirect
47. #17989279	C₂²	semidirect
48. #17989277	C₂²	semidirect
49. #17989277	C₂²	semidirect
50. #17989277	C₂²	semidirect
51. #17989276	C₂²	semidirect
52. #17989274	C₂²	semidirect
53. #17989272	C₂²	semidirect
54. #17989270	C₂²	semidirect
55. #17989268	C₂²	semidirect
56. #17989268	C₂²	semidirect
57. #17989266	C₂²	semidirect
58. #17989263	C₂²	semidirect
59. #17989263	C₂²	semidirect
60. #17989263	C₂²	semidirect
61. D₄×Dic₁₄₆	C₂²	semidirect
62. D₄×Dic₁₄₆	C₂²	semidirect
63. D₄×Dic₁₄₆	C₂²	semidirect
64. Q₈×C₂²⋊D₇₃	C₂²	semidirect
65. #17989250	C₂²	semidirect
66. #17989250	C₂²	semidirect
67. #17989246	C₂²	semidirect
68. #17989246	C₂²	semidirect
69. #17989246	C₂²	semidirect
70. #17989244	C₂²	semidirect
71. #17989243	C₂²	semidirect
72. #17989243	C₂²	semidirect
73. #17989242	C₂²	semidirect
74. #17989241	C₂²	semidirect
75. #17989237	C₂²	semidirect
76. #17989236	C₂²	semidirect
77. #17989236	C₂²	semidirect
78. #17989235	C₂²	semidirect
79. #17989233	C₂²	semidirect
80. #17989231	C₂²	semidirect
81. #17989231	C₂²	semidirect
82. #17989231	C₂²	semidirect
83. #17989224	C₂²	semidirect
84. #17989224	C₂²	semidirect
85. #17989218	C₂²	semidirect
86. #17989216	C₂²	semidirect
87. #17989216	C₂²	semidirect
88. #17989215	C₂²	semidirect
90. #17989213	C₂²	semidirect
91. #17989212	C₂²	semidirect
92. #17989208	C₂²	semidirect
93. #17989205	C₂²	semidirect
94. #17989204	C₂²	semidirect
95. #17989202	C₂²	semidirect
96. #17989199	C₂²	semidirect
97. #17989197	C₂²	semidirect
98. #17989186	C₂²	semidirect
99. #17989184	C₂²	semidirect
100. #17989182	C₂²	semidirect
101. #17989182	C₂²	semidirect
102. #17989181	C₂²	semidirect
103. #17989180	C₂²	semidirect
104. #17989179	C₂²	semidirect
105. #17989179	C₂²	semidirect
106. #17989175	C₂²	semidirect
107. #17989174	C₂²	semidirect
108. #17989172	C₂²	semidirect
109. #17989172	C₂²	semidirect
110. #17989166	C₂²	semidirect
111. #17989165	C₂²	semidirect
112. #17989165	C₂²	semidirect
113. #17989164	C₂²	semidirect
114. #17989163	C₂²	semidirect
115. #17989160	C₂²	semidirect
116. #17989159	C₂²	semidirect
117. #17989158	C₂²	semidirect
118. #17989158	C₂²	semidirect
120. #17989144	C₂²	semidirect
121. #17989139	C₂²	semidirect
122. #17989121	C₂²	semidirect
123. #17989118	C₂²	semidirect
128. #17989098	C₂²	semidirect
129. #17989098	C₂²	semidirect
130. #17989098	C₂²	semidirect
131. #17989098	C₂²	semidirect
132. #17989098	C₂²	semidirect
133. #17989097	C₂²	semidirect
134. #17989093	C₂²	semidirect
135. #17989093	C₂²	semidirect
136. C₂×#14556574	C₂²	semidirect
140. C₂×#14556570	C₂²	semidirect
141. C₂×#14556570	C₂²	semidirect
142. C₂×#14556570	C₂²	semidirect
143. C₂×#14556570	C₂²	semidirect
144. C₂×#14556570	C₂²	semidirect
145. C₂×#14556570	C₂²	semidirect
146. C₂×#14556570	C₂²	semidirect
147. C₂×#14556570	C₂²	semidirect
148. C₂×#14556570	C₂²	semidirect
149. C₂×#14556570	C₂²	semidirect
150. C₂×#14556570	C₂²	semidirect
151. C₂×#14556570	C₂²	semidirect
152. C₂²⋊Q₈×D₇₃	C₂²	semidirect
154. C₂×#14556565	C₂²	semidirect
156. #17989070	C₂²	semidirect
157. #17989067	C₂²	semidirect
158. #17989066	C₂²	semidirect
159. #17989064	C₂²	semidirect
163. C₂×C₄×C₂²⋊D₇₃	C₂²	semidirect
164. C₂×#14556550	C₂²	semidirect
165. C₂²×C₄⋊Dic₇₃	C₂²	semidirect
166. C₂²×#11924007	C₂²	semidirect
168. C₂²×#41×C₇₃	C₂²	semidirect
174. #525×C₇₃	C₂²	semidirect
175. #525×C₇₃	C₂²	semidirect
176. #525×C₇₃	C₂²	semidirect
177. #525×C₇₃	C₂²	semidirect
178. C₂×#123×C₇₃	C₂²	semidirect
180. C₂×C₂²⋊Q₈×C₇₃	C₂²	semidirect
182. C₂×#121×C₇₃	C₂²	semidirect
185. C₂×C₄×D₄×C₇₃	C₂²	semidirect
186. C₂×#117×C₇₃	C₂²	semidirect
193. C₂×#11924028	C₂³	semidirect
196. C₂×#11924027	C₂³	semidirect
205. C₂²×Dic₁₄₆	C₂³	semidirect
206. C₂×Q₈×D₇₃	C₂³	semidirect
214. #14556591	C₂³	semidirect
215. #14556591	C₂³	semidirect
216. #14556590	C₂³	semidirect
217. #14556590	C₂³	semidirect
218. #14556590	C₂³	semidirect
219. #14556590	C₂³	semidirect
220. #14556589	C₂³	semidirect
221. #14556589	C₂³	semidirect
222. #14556586	C₂³	semidirect
223. #14556586	C₂³	semidirect
224. #14556585	C₂³	semidirect
229. #14556584	C₂³	semidirect
230. #14556584	C₂³	semidirect
231. #14556584	C₂³	semidirect
232. #14556583	C₂³	semidirect
233. #14556583	C₂³	semidirect
234. #14556582	C₂³	semidirect
235. #14556582	C₂³	semidirect
236. #14556582	C₂³	semidirect
237. #14556581	C₂³	semidirect
238. #14556581	C₂³	semidirect
239. #14556581	C₂³	semidirect
240. #14556581	C₂³	semidirect
241. #14556581	C₂³	semidirect
242. #14556579	C₂³	semidirect
245. #14556578	C₂³	semidirect
248. #14556577	C₂³	semidirect
249. #14556577	C₂³	semidirect
250. #14556576	C₂³	semidirect
253. #14556575	C₂³	semidirect
259. #14556574	C₂³	semidirect
262. #14556573	C₂³	semidirect
263. #14556573	C₂³	semidirect
269. #14556572	C₂³	semidirect
270. #14556571	C₂³	semidirect
271. #14556571	C₂³	semidirect
272. #14556571	C₂³	semidirect
299. #14556570	C₂³	semidirect
300. #14556570	C₂³	semidirect
301. #14556570	C₂³	semidirect
302. #14556570	C₂³	semidirect
303. #14556569	C₂³	semidirect
304. #14556569	C₂³	semidirect
305. #14556569	C₂³	semidirect
306. #14556569	C₂³	semidirect
313. #14556568	C₂³	semidirect
314. #14556568	C₂³	semidirect
315. #14556568	C₂³	semidirect
316. #14556568	C₂³	semidirect
317. #14556568	C₂³	semidirect
318. #14556567	C₂³	semidirect
319. #14556567	C₂³	semidirect
328. #14556565	C₂³	semidirect
329. #14556564	C₂³	semidirect
336. #14556563	C₂³	semidirect
339. #14556562	C₂³	semidirect
346. Q₈×Dic₇₃	C₂³	semidirect
347. C₄×Dic₁₄₆	C₂³	semidirect
348. C₄×Dic₁₄₆	C₂³	semidirect
349. C₄×Dic₁₄₆	C₂³	semidirect
350. C₄×Dic₁₄₆	C₂³	semidirect
351. #14556556	C₂³	semidirect
352. #14556556	C₂³	semidirect
353. #14556556	C₂³	semidirect
354. C₄×D₂₉₂	C₂³	semidirect
361. D₄×Dic₇₃	C₂³	semidirect
372. C₄×C₂²⋊D₇₃	C₂³	semidirect
377. #14556551	C₂³	semidirect
383. #14556550	C₂³	semidirect
384. #14556549	C₂³	semidirect
385. #14556548	C₂³	semidirect
389. #14556547	C₂³	semidirect
398. C₂×C₄⋊Dic₇₃	C₂³	semidirect
407. C₂×#11924007	C₂³	semidirect
408. C₄⋊C₄×D₇₃	C₂³	semidirect
409. C₄⋊C₄×D₇₃	C₂³	semidirect
733. C₂³×C₇₃	2₋¹⁺⁴	semidirect
927. C₂×#525	D₇₃	semidirect
929. C₇₃	#62819	semidirect
932. C₂²×#41	C₂×D₇₃	semidirect
1046. #525	C₂×D₇₃	semidirect
1047. #525	C₂×D₇₃	semidirect
1048. #525	C₂×D₇₃	semidirect
1049. #525	C₂×D₇₃	semidirect
1051. C₂×#123	C₂×D₇₃	semidirect
1069. C₂×C₂²⋊Q₈	C₂×D₇₃	semidirect
1073. C₂×#121	C₂×D₇₃	semidirect
1085. C₂×C₄×D₄	C₂×D₇₃	semidirect
1087. C₂×#117	C₂×D₇₃	semidirect
1641. C₂³	#14556638	semidirect

Maximal subgroups

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

subgroup	index
#22624224	2
#22624216	2
#22624180	2
#22624176	2
#22624158	2
#22624153	2
#22624144	2
#22624134	2
#22623980	2
#22623968	2
#22623770	2
#22623765	2
#22623734	2
#22623727	2
#22623685	2
#22623683	2
#22623637	2
#22623632	2
#22623618	2
#22623611	2
#22623603	2
#22623578	2
C₂×#17989098	2
C₂²×#14556570	2
C₂×#525×C₇₃	2
#62819	73