Subgroups — C₂×#22623661 #33994322

Order 18688.

8006 conjugacy classes of subgroups.

The subgroup lattice has 1364 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22623661	C₂	1	32	yes	maximal, direct product factor
2	C₂×#17989299	C₂	1	2	yes	maximal, complemented
3	C₂×#17989286	C₂	1	2	yes	maximal, complemented
4	C₂×#17989280	C₂	1	2	yes	maximal, complemented
5	C₂×#17989267	C₂	1	2	yes	maximal, complemented
6	C₂×#17989266	C₂	1	2	yes	maximal, complemented
7	C₂×#17989236	C₂	1	2	yes	maximal, complemented
8	C₂×#17989226	C₂	1	2	yes	maximal, complemented
9	C₂×#17989225	C₂	1	2	yes	maximal, complemented
10	C₂×#17989214	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#17989211	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#17989202	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#17989191	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#17989188	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#17989150	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#17989132	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×#17989121	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#17989118	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#17989097	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#121×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#17989066	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#17989059	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂²×#14556548	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#532×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#11924027	C₂²	1	1	yes	characteristic
26	C₂²×#11924027	C₂²	1	2	yes	complemented
27	C₂²×D₄×D₇₃	C₂²	1	1	yes	characteristic
28	C₂²×D₄×D₇₃	C₂²	1	2	yes	—
29	C₂³×C₄×D₇₃	C₂²	1	1	yes	characteristic
30	#17989299	C₂²	1	32	yes	complemented
31	#17989286	C₂²	1	32	yes	complemented
32	#17989280	C₂²	1	32	yes	complemented
33	#17989267	C₂²	1	32	yes	complemented
34	#17989266	C₂²	1	32	yes	complemented
35	#17989236	C₂²	1	32	yes	complemented
36	#17989226	C₂²	1	32	yes	complemented
37	#17989225	C₂²	1	32	yes	complemented
38	#17989214	C₂²	1	16	yes	complemented
39	#17989211	C₂²	1	16	yes	complemented
40	#17989202	C₂²	1	16	yes	complemented
41	#17989191	C₂²	1	16	yes	complemented
42	#17989188	C₂²	1	16	yes	complemented
43	#17989150	C₂²	1	16	yes	complemented
44	#17989132	C₂²	1	16	yes	complemented
45	C₂×#14556590	C₂²	1	1	yes	characteristic, complemented
46	C₂×#14556589	C₂²	1	2	yes	complemented
47	C₂×#14556587	C₂²	1	1	yes	characteristic, complemented
48	#17989121	C₂²	1	16	yes	complemented
49	#17989118	C₂²	1	16	yes	complemented
50	C₂×#14556586	C₂²	1	2	yes	complemented
51	C₂×#14556585	C₂²	1	2	yes	complemented
52	C₂×#14556584	C₂²	1	2	yes	complemented
53	C₂×#14556584	C₂²	1	2	yes	complemented
54	C₂×#14556583	C₂²	1	1	yes	characteristic, complemented
55	C₂×#14556582	C₂²	1	1	yes	characteristic, complemented
56	C₂×#14556581	C₂²	1	2	yes	complemented
57	C₂×#14556580	C₂²	1	2	yes	complemented
58	C₂×#14556579	C₂²	1	1	yes	characteristic, complemented
59	C₂×#14556578	C₂²	1	1	yes	characteristic, complemented
60	C₂×#14556577	C₂²	1	2	yes	complemented
61	C₂×#14556577	C₂²	1	2	yes	complemented
62	#17989097	C₂²	1	16	yes	complemented
63	C₂×#14556576	C₂²	1	2	yes	complemented
64	C₂×#14556574	C₂²	1	2	yes	complemented
65	C₂×#14556574	C₂²	1	2	yes	complemented
66	C₂×#14556574	C₂²	1	2	yes	complemented
67	C₂×#14556573	C₂²	1	2	yes	—
68	C₂×#14556573	C₂²	1	2	yes	complemented
69	C₂×#14556572	C₂²	1	2	yes	complemented
70	C₂×#14556572	C₂²	1	2	yes	complemented
71	C₂×#14556572	C₂²	1	2	yes	complemented
72	C₂×#14556571	C₂²	1	1	yes	characteristic, complemented
73	C₂×#14556570	C₂²	1	2	yes	complemented
74	C₂×#14556570	C₂²	1	1	yes	characteristic, complemented
75	C₂×#14556569	C₂²	1	2	yes	—
76	C₂×#14556567	C₂²	1	2	yes	—
77	C₂×#14556567	C₂²	1	2	yes	complemented
78	C₂×#14556566	C₂²	1	1	yes	characteristic
79	C₂×#14556565	C₂²	1	1	yes	characteristic
80	C₂×#14556565	C₂²	1	2	yes	complemented
81	C₂×#14556564	C₂²	1	2	yes	—
82	C₂×#14556564	C₂²	1	2	yes	complemented
83	C₂×#14556563	C₂²	1	2	yes	—
84	C₂×#14556563	C₂²	1	2	yes	complemented
85	C₂×#14556563	C₂²	1	2	yes	complemented
86	C₂×#14556563	C₂²	1	2	yes	complemented
87	C₂×#14556563	C₂²	1	2	yes	complemented
88	C₂×#14556563	C₂²	1	2	yes	complemented
89	C₂×#14556562	C₂²	1	1	yes	characteristic
90	C₂×#14556562	C₂²	1	1	yes	characteristic, complemented
91	#121×D₇₃	C₂²	1	16	yes	complemented
92	C₂×#14556559	C₂²	1	2	yes	—
93	C₂×#14556559	C₂²	1	2	yes	—
94	C₂×#14556559	C₂²	1	2	yes	—
95	#17989066	C₂²	1	16	yes	complemented
96	#17989059	C₂²	1	16	yes	complemented
97	C₂×C₄×Dic₁₄₆	C₂²	1	1	yes	characteristic, complemented
98	C₂×#14556556	C₂²	1	1	yes	characteristic, complemented
99	C₂×C₄×D₂₉₂	C₂²	1	1	yes	characteristic, complemented
100	C₂×D₄×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
101	C₂×D₄×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
102	C₂×D₄×Dic₇₃	C₂²	1	2	yes	complemented
103	C₂×D₄×Dic₇₃	C₂²	1	2	yes	complemented
104	C₂×#14556553	C₂²	1	1	yes	characteristic, complemented
105	C₂×C₄×C₂²⋊D₇₃	C₂²	1	2	yes	—
106	C₂×C₄×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
107	C₂×C₄×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
108	C₂×#14556551	C₂²	1	2	yes	—
109	C₂×#14556551	C₂²	1	2	yes	complemented
110	C₂×#14556551	C₂²	1	2	yes	complemented
111	C₂×#14556551	C₂²	1	2	yes	complemented
112	C₂×#14556549	C₂²	1	1	yes	characteristic
113	C₂×#14556548	C₂²	1	1	yes	characteristic
114	C₂×#14556548	C₂²	1	1	yes	characteristic
115	C₂×#14556548	C₂²	1	1	yes	characteristic
116	C₂×#14556548	C₂²	1	1	yes	characteristic
117	C₂×#14556548	C₂²	1	1	yes	characteristic, complemented
118	C₂×#14556548	C₂²	1	1	yes	characteristic, complemented
119	C₂×#14556548	C₂²	1	1	yes	characteristic, complemented
120	C₂×#14556548	C₂²	1	1	yes	characteristic, complemented
121	C₂×#14556548	C₂²	1	2	yes	complemented
122	C₂×#14556548	C₂²	1	16	yes	complemented
123	C₂×#14556547	C₂²	1	2	yes	complemented
124	C₂×#14556547	C₂²	1	2	yes	complemented
125	C₂²×#11924007	C₂²	1	1	yes	characteristic, complemented
126	C₂²×#11924007	C₂²	1	1	yes	characteristic, complemented
127	C₂²×#11924007	C₂²	1	2	yes	complemented
128	C₂×C₄⋊C₄×D₇₃	C₂²	1	1	yes	characteristic
129	C₂²×#11924005	C₂²	1	1	yes	characteristic
130	C₂²×#11924005	C₂²	1	1	yes	characteristic
131	C₂²×#11924005	C₂²	1	2	yes	—
132	C₂×C₂²⋊C₄×D₇₃	C₂²	1	2	yes	—
133	C₂×C₂²⋊C₄×D₇₃	C₂²	1	2	yes	—
134	C₂²×C₄×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
135	C₂²×#41×C₇₃	C₂²	1	2	yes	complemented
136	#532×C₇₃	C₂²	1	16	yes	complemented
137	C₂×C₄⋊Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
138	C₂×#127×C₇₃	C₂²	1	1	yes	characteristic, complemented
139	C₂×#124×C₇₃	C₂²	1	2	yes	complemented
140	C₂×#121×C₇₃	C₂²	1	1	yes	characteristic
141	C₂×#121×C₇₃	C₂²	1	2	yes	complemented
142	C₂×#121×C₇₃	C₂²	1	1	yes	characteristic, complemented
143	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
144	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×D₄×C₇₃	C₂²	1	2	yes	complemented
146	C₂²×C₄²×C₇₃	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₇₃	C₂³	1	1	yes	characteristic
148	C₂⁴×D₇₃	C₂³	1	2	yes	—
149	C₂×#11924027	—	2	8	no	—
150	C₂×#11924027	—	4	8	no	—
151	C₂×#11924027	C₂³	1	8	yes	—
152	C₂×#11924027	C₂³	1	16	yes	complemented
153	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
154	C₂²×Dic₁₄₆	C₂³	1	2	yes	—
155	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
156	C₂²×D₂₉₂	C₂³	1	2	yes	—
157	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
158	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
159	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
160	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
161	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
162	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
163	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
164	C₂×D₄×D₇₃	—	2	8	no	—
165	C₂×D₄×D₇₃	—	4	8	no	—
166	C₂×D₄×D₇₃	C₂³	1	8	yes	—
167	C₂×D₄×D₇₃	C₂³	1	16	yes	—
168	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
169	C₂³×Dic₇₃	C₂³	1	2	yes	—
170	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
171	C₂³×Dic₇₃	C₂³	1	2	yes	—
172	C₂³×Dic₇₃	C₂³	1	1	yes	characteristic
173	C₂³×Dic₇₃	C₂³	1	2	yes	—
174	C₂²×C₄×D₇₃	—	2	8	no	—
175	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
176	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
177	C₂²×C₄×D₇₃	C₂³	1	8	yes	—
178	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
179	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
180	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
181	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
182	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
183	#14556590	C₂³	1	8	yes	complemented
184	#14556589	C₂³	1	16	yes	complemented
185	#14556587	C₂³	1	8	yes	complemented
186	#14556586	C₂³	1	16	yes	complemented
187	#14556585	C₂³	1	16	yes	complemented
188	#14556584	C₂³	1	16	yes	complemented
189	#14556584	C₂³	1	16	yes	complemented
190	#14556583	C₂³	1	8	yes	complemented
191	#14556582	C₂³	1	8	yes	complemented
192	#14556581	C₂³	1	16	yes	complemented
193	#14556580	C₂³	1	16	yes	complemented
194	#14556579	C₂³	1	8	yes	complemented
195	#14556578	C₂³	1	8	yes	complemented
196	#14556577	C₂³	1	16	yes	complemented
197	#14556577	C₂³	1	16	yes	complemented
198	#14556576	C₂³	1	16	yes	complemented
199	#14556574	C₂³	1	16	yes	complemented
200	#14556574	C₂³	1	16	yes	complemented
201	#14556574	C₂³	1	16	yes	complemented
202	#14556573	C₂³	1	16	yes	—
203	#14556573	C₂³	1	16	yes	complemented
204	#14556572	C₂³	1	16	yes	complemented
205	#14556572	C₂³	1	16	yes	complemented
206	#14556572	C₂³	1	16	yes	complemented
207	#14556571	C₂³	1	8	yes	complemented
208	#14556570	C₂³	1	8	yes	complemented
209	#14556570	C₂³	1	16	yes	complemented
210	#14556569	C₂³	1	16	yes	—
211	#14556567	C₂³	1	16	yes	—
212	#14556567	C₂³	1	16	yes	complemented
213	#14556566	C₂³	1	8	yes	—
214	#14556565	C₂³	1	8	yes	—
215	#14556565	C₂³	1	16	yes	complemented
216	#14556564	C₂³	1	16	yes	—
217	#14556564	C₂³	1	16	yes	complemented
218	#14556563	C₂³	1	16	yes	—
219	#14556563	C₂³	1	16	yes	complemented
220	#14556563	C₂³	1	16	yes	complemented
221	#14556563	C₂³	1	16	yes	complemented
222	#14556563	C₂³	1	16	yes	complemented
223	#14556563	C₂³	1	16	yes	complemented
224	#14556562	C₂³	1	8	yes	—
225	#14556562	C₂³	1	8	yes	complemented
226	#14556559	C₂³	1	16	yes	—
227	#14556559	C₂³	1	16	yes	—
228	#14556559	C₂³	1	16	yes	—
229	C₄×Dic₁₄₆	C₂³	1	8	yes	complemented
230	#14556556	C₂³	1	8	yes	complemented
231	C₄×D₂₉₂	C₂³	1	8	yes	complemented
232	D₄×Dic₇₃	C₂³	1	8	yes	complemented
233	D₄×Dic₇₃	C₂³	1	8	yes	complemented
234	D₄×Dic₇₃	C₂³	1	16	yes	complemented
235	D₄×Dic₇₃	C₂³	1	16	yes	complemented
236	#14556553	C₂³	1	8	yes	complemented
237	C₄×C₂²⋊D₇₃	C₂³	1	16	yes	—
238	C₄×C₂²⋊D₇₃	C₂³	1	16	yes	complemented
239	C₄×C₂²⋊D₇₃	C₂³	1	16	yes	complemented
240	#14556551	C₂³	1	16	yes	—
241	#14556551	C₂³	1	16	yes	complemented
242	#14556551	C₂³	1	16	yes	complemented
243	#14556551	C₂³	1	16	yes	complemented
244	#14556549	C₂³	1	8	yes	—
245	#14556548	C₂³	1	8	yes	—
246	#14556548	C₂³	1	8	yes	—
247	#14556548	C₂³	1	8	yes	—
248	#14556548	C₂³	1	8	yes	—
249	#14556548	C₂³	1	16	yes	complemented
250	#14556548	C₂³	1	8	yes	complemented
251	#14556548	C₂³	1	8	yes	complemented
252	#14556548	C₂³	1	8	yes	complemented
253	#14556548	C₂³	1	8	yes	complemented
254	#14556547	C₂³	1	16	yes	complemented
255	#14556547	C₂³	1	16	yes	complemented
256	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
259	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
260	C₂×#11924007	C₂³	1	1	yes	characteristic
261	C₂×#11924007	C₂³	1	2	yes	—
262	C₂×#11924007	C₂³	1	2	yes	—
263	C₂×#11924007	C₂³	1	2	yes	—
264	C₂×#11924007	C₂³	1	2	yes	—
265	C₂×#11924007	C₂³	1	1	yes	characteristic
266	C₂×#11924007	C₂³	1	1	yes	characteristic
267	C₂×#11924007	C₂³	1	1	yes	characteristic
268	C₂×#11924007	C₂³	1	1	yes	characteristic
269	C₂×#11924007	C₂³	1	1	yes	characteristic
270	C₂×#11924007	C₂³	1	1	yes	characteristic
271	C₂×#11924007	C₂³	1	1	yes	characteristic
272	C₂×#11924007	C₂³	1	2	yes	—
273	C₂×#11924007	C₂³	1	2	yes	—
274	C₂×#11924007	C₂³	1	2	yes	—
275	C₂×#11924007	C₂³	1	2	yes	—
276	C₂×#11924007	C₂³	1	8	yes	complemented
277	C₂×#11924007	C₂³	1	16	yes	complemented
278	C₂×#11924007	C₂³	1	8	yes	complemented
279	C₄⋊C₄×D₇₃	C₂³	1	8	yes	—
280	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
281	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
282	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
283	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
284	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
285	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
286	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
287	C₂×#11924005	C₂³	1	8	yes	—
288	C₂×#11924005	C₂³	1	16	yes	—
289	C₂×#11924005	C₂³	1	8	yes	—
290	C₂×#11924005	C₂³	1	1	yes	characteristic
291	C₂×#11924005	C₂³	1	2	yes	—
292	C₂×#11924005	C₂³	1	2	yes	—
293	C₂×#11924005	C₂³	1	2	yes	—
294	C₂×#11924005	C₂³	1	1	yes	characteristic
295	C₂×#11924005	C₂³	1	1	yes	characteristic
296	C₂×#11924005	C₂³	1	1	yes	characteristic
297	C₂×#11924005	C₂³	1	1	yes	characteristic
298	C₂×#11924005	C₂³	1	1	yes	characteristic
299	C₂×#11924005	C₂³	1	1	yes	characteristic
300	C₂×#11924005	C₂³	1	1	yes	characteristic
301	C₂×#11924005	C₂³	1	2	yes	—
302	C₂×#11924005	C₂³	1	2	yes	—
303	C₂×#11924005	C₂³	1	2	yes	—
304	C₂×#11924005	C₂³	1	2	yes	—
305	C₂×#11924005	C₂³	1	2	yes	—
306	C₂²⋊C₄×D₇₃	C₂³	1	16	yes	—
307	C₂²⋊C₄×D₇₃	C₂³	1	16	yes	—
308	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
309	C₂×C₄×Dic₇₃	C₂³	1	2	yes	—
310	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
311	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
313	C₂×C₄×Dic₇₃	C₂³	1	2	yes	—
314	C₂×C₄×Dic₇₃	C₂³	1	2	yes	—
315	C₂×C₄×Dic₇₃	C₂³	1	8	yes	complemented
316	C₂×#41×C₇₃	—	4	8	no	—
317	C₂×#41×C₇₃	C₂³	1	16	yes	complemented
318	C₂²×Q₈×C₇₃	C₂³	1	2	yes	—
319	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
320	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
321	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
322	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
323	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
324	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
325	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
326	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
327	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
328	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
329	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
330	C₄⋊Q₈×C₇₃	C₂³	1	8	yes	complemented
331	#127×C₇₃	C₂³	1	8	yes	complemented
332	#124×C₇₃	C₂³	1	16	yes	complemented
333	#121×C₇₃	C₂³	1	8	yes	—
334	#121×C₇₃	C₂³	1	8	yes	complemented
335	#121×C₇₃	C₂³	1	16	yes	complemented
336	C₄×D₄×C₇₃	C₂³	1	8	yes	complemented
337	C₄×D₄×C₇₃	C₂³	1	8	yes	complemented
338	C₄×D₄×C₇₃	C₂³	1	16	yes	complemented
339	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₇₃	C₂³	1	2	yes	—
342	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
343	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
344	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
345	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
346	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
347	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
348	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
349	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₇₃	C₂³	1	8	yes	complemented
351	C₂³×D₇₃	—	2	4	no	—
352	C₂³×D₇₃	—	2	4	no	—
353	C₂³×D₇₃	—	2	8	no	—
354	C₂³×D₇₃	—	4	2	no	—
355	C₂³×D₇₃	—	4	4	no	—
356	C₂³×D₇₃	—	4	4	no	—
357	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
358	C₂³×D₇₃	C₂⁴	1	2	yes	—
359	C₂³×D₇₃	C₂⁴	1	4	yes	—
360	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
361	C₂³×D₇₃	C₂⁴	1	8	yes	—
362	#11924027	—	2	32	no	—
363	#11924027	—	4	32	no	—
364	C₂×Dic₁₄₆	—	2	4	no	—
365	C₂×Dic₁₄₆	—	4	4	no	—
366	C₂×Dic₁₄₆	C₂⁴	1	4	yes	—
367	C₂×Dic₁₄₆	C₂⁴	1	8	yes	—
368	C₂×D₂₉₂	—	2	4	no	—
369	C₂×D₂₉₂	—	4	4	no	—
370	C₂×D₂₉₂	C₂⁴	1	4	yes	—
371	C₂×D₂₉₂	C₂⁴	1	8	yes	—
372	C₂×C₂²⋊D₇₃	—	2	8	no	—
373	C₂×C₂²⋊D₇₃	—	2	8	no	—
374	C₂×C₂²⋊D₇₃	—	2	8	no	—
375	C₂×C₂²⋊D₇₃	—	4	4	no	—
376	C₂×C₂²⋊D₇₃	—	4	4	no	—
377	C₂×C₂²⋊D₇₃	—	4	4	no	—
378	C₂×C₂²⋊D₇₃	—	4	4	no	—
379	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
380	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
381	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
382	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
383	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
384	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
385	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
386	D₄×D₇₃	—	2	32	no	—
387	D₄×D₇₃	—	4	32	no	—
388	C₂²×Dic₇₃	—	2	4	no	—
389	C₂²×Dic₇₃	—	2	4	no	—
390	C₂²×Dic₇₃	—	2	8	no	—
391	C₂²×Dic₇₃	—	4	4	no	—
392	C₂²×Dic₇₃	—	4	2	no	—
393	C₂²×Dic₇₃	—	4	4	no	—
394	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
395	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
396	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
397	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
398	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
399	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
400	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
401	C₂²×Dic₇₃	C₂⁴	1	4	yes	—
402	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₇₃	C₂⁴	1	4	yes	—
404	C₂²×Dic₇₃	C₂⁴	1	8	yes	—
405	C₂²×Dic₇₃	C₂⁴	1	4	yes	—
406	C₂²×Dic₇₃	C₂⁴	1	8	yes	—
407	C₂²×Dic₇₃	C₂⁴	1	8	yes	—
408	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
409	C₂×C₄×D₇₃	—	2	4	no	—
410	C₂×C₄×D₇₃	—	2	4	no	—
411	C₂×C₄×D₇₃	—	2	4	no	—
412	C₂×C₄×D₇₃	—	2	32	no	—
413	C₂×C₄×D₇₃	—	4	4	no	—
414	C₂×C₄×D₇₃	—	4	4	no	—
415	C₂×C₄×D₇₃	—	4	4	no	—
416	C₂×C₄×D₇₃	#41	1	8	yes	complemented
417	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
418	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
419	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
420	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
421	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
422	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
423	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
424	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
425	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
426	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
427	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
428	#11924007	C₂⁴	1	8	yes	—
429	#11924007	C₂⁴	1	4	yes	—
430	#11924007	C₂⁴	1	4	yes	—
431	#11924007	C₂⁴	1	4	yes	—
432	#11924007	C₂⁴	1	4	yes	—
433	#11924007	C₂⁴	1	4	yes	—
434	#11924007	C₂⁴	1	4	yes	—
435	#11924007	C₂⁴	1	4	yes	—
436	#11924007	C₂⁴	1	4	yes	—
437	#11924007	C₂⁴	1	8	yes	—
438	#11924007	C₂⁴	1	8	yes	—
439	#11924007	C₂⁴	1	8	yes	—
440	#11924007	C₂⁴	1	8	yes	—
441	#11924007	C₂⁴	1	8	yes	—
442	#11924007	C₂⁴	1	8	yes	—
443	#11924007	C₂⁴	1	8	yes	—
444	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
445	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
446	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
447	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
448	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
449	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
450	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
451	#11924005	C₂⁴	1	4	yes	—
452	#11924005	C₂⁴	1	8	yes	—
453	#11924005	C₂⁴	1	8	yes	—
454	#11924005	C₂⁴	1	8	yes	—
455	#11924005	C₂⁴	1	4	yes	—
456	#11924005	C₂⁴	1	4	yes	—
457	#11924005	C₂⁴	1	4	yes	—
458	#11924005	C₂⁴	1	4	yes	—
459	#11924005	C₂⁴	1	4	yes	—
460	#11924005	C₂⁴	1	4	yes	—
461	#11924005	C₂⁴	1	4	yes	—
462	#11924005	C₂⁴	1	8	yes	—
463	#11924005	C₂⁴	1	8	yes	—
464	#11924005	C₂⁴	1	8	yes	—
465	#11924005	C₂⁴	1	8	yes	—
466	#11924005	C₂⁴	1	8	yes	—
467	C₄×Dic₇₃	C₂⁴	1	4	yes	—
468	C₄×Dic₇₃	C₂⁴	1	4	yes	—
469	C₄×Dic₇₃	C₂⁴	1	4	yes	—
470	C₄×Dic₇₃	C₂⁴	1	4	yes	—
471	C₄×Dic₇₃	C₂⁴	1	8	yes	—
472	C₄×Dic₇₃	C₂⁴	1	8	yes	—
473	C₄×Dic₇₃	C₂⁴	1	8	yes	—
474	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
475	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
476	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
477	#41×C₇₃	—	4	32	no	—
478	C₂×Q₈×C₇₃	—	4	4	no	—
479	C₂×Q₈×C₇₃	C₂⁴	1	8	yes	—
480	C₂×D₄×C₇₃	—	2	8	no	—
481	C₂×D₄×C₇₃	—	2	8	no	—
482	C₂×D₄×C₇₃	—	2	4	no	—
483	C₂×D₄×C₇₃	—	2	4	no	—
484	C₂×D₄×C₇₃	—	4	4	no	—
485	C₂×D₄×C₇₃	—	4	4	no	—
486	C₂×D₄×C₇₃	C₂⁴	1	4	yes	—
487	C₂×D₄×C₇₃	C₂⁴	1	4	yes	—
488	C₂×D₄×C₇₃	C₂⁴	1	8	yes	—
489	C₂×D₄×C₇₃	C₂⁴	1	8	yes	—
490	C₂×D₄×C₇₃	C₂⁴	1	8	yes	—
491	C₂×D₄×C₇₃	C₂⁴	1	8	yes	—
492	C₂²×C₄×C₇₃	—	2	4	no	—
493	C₂²×C₄×C₇₃	—	2	4	no	—
494	C₂²×C₄×C₇₃	—	4	2	no	—
495	C₂²×C₄×C₇₃	—	4	4	no	—
496	C₂²×C₄×C₇₃	—	4	4	no	—
497	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
498	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
499	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
500	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
501	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
502	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
503	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
504	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
505	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
506	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
507	C₂²×C₄×C₇₃	C₂⁴	1	8	yes	—
508	C₂²×C₄×C₇₃	C₂⁴	1	8	yes	—
509	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
510	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
511	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
512	C₄⋊C₄×C₇₃	C₂⁴	1	8	yes	—
513	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
514	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
515	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
516	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
517	C₄²×C₇₃	C₂⁴	1	4	yes	—
518	C₄²×C₇₃	C₂⁴	1	4	yes	—
519	C₄²×C₇₃	C₂⁴	1	4	yes	—
520	C₄²×C₇₃	C₂⁴	1	4	yes	—
521	C₂³×C₇₃	—	2	2	no	—
522	C₂³×C₇₃	—	2	2	no	—
523	C₂³×C₇₃	—	2	4	no	—
524	C₂³×C₇₃	—	2	4	no	—
525	C₂³×C₇₃	—	2	4	no	—
526	C₂³×C₇₃	—	2	4	no	—
527	C₂³×C₇₃	—	2	4	no	—
528	C₂³×C₇₃	—	2	4	no	—
529	C₂³×C₇₃	H(5,𝔽₂)	1	4	yes	—
530	C₂³×C₇₃	C₂⁵	1	4	yes	—
531	C₂³×C₇₃	C₂⁵	1	4	yes	—
532	C₂³×C₇₃	C₂⁵	1	2	yes	—
533	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
534	C₂²×D₇₃	—	2	2	no	—
535	C₂²×D₇₃	—	2	2	no	—
536	C₂²×D₇₃	—	2	2	no	—
537	C₂²×D₇₃	—	2	4	no	—
538	C₂²×D₇₃	—	2	4	no	—
539	C₂²×D₇₃	—	2	8	no	—
540	C₂²×D₇₃	—	2	2	no	—
541	C₂²×D₇₃	—	2	4	no	—
542	C₂²×D₇₃	—	2	2	no	—
543	C₂²×D₇₃	—	2	8	no	—
544	C₂²×D₇₃	—	2	16	no	—
545	C₂²×D₇₃	—	4	4	no	—
546	C₂²×D₇₃	—	4	8	no	—
547	C₂²×D₇₃	—	4	8	no	—
548	C₂²×D₇₃	—	4	16	no	—
549	C₂²×D₇₃	—	8	16	no	—
550	C₂²×D₇₃	C₂×#41	1	4	yes	—
551	C₂²×D₇₃	C₂⁵	1	2	yes	—
552	C₂²×D₇₃	C₂⁵	1	4	yes	—
553	C₂²×D₇₃	C₂⁵	1	2	yes	—
554	Q₈×C₇₃	—	4	8	no	—
555	D₄×C₇₃	—	2	16	no	—
556	D₄×C₇₃	—	2	16	no	—
557	D₄×C₇₃	—	2	8	no	—
558	D₄×C₇₃	—	2	8	no	—
559	D₄×C₇₃	—	4	8	no	—
560	D₄×C₇₃	—	4	8	no	—
561	C₂×C₄×C₇₃	—	2	2	no	—
562	C₂×C₄×C₇₃	—	2	2	no	—
563	C₂×C₄×C₇₃	—	2	2	no	—
564	C₂×C₄×C₇₃	—	2	8	no	—
565	C₂×C₄×C₇₃	—	2	4	no	—
566	C₂×C₄×C₇₃	—	2	4	no	—
567	C₂×C₄×C₇₃	—	2	2	no	—
568	C₂×C₄×C₇₃	—	2	2	no	—
569	C₂×C₄×C₇₃	—	2	8	no	—
570	C₂×C₄×C₇₃	—	4	4	no	—
571	C₂×C₄×C₇₃	—	4	8	no	—
572	C₂×C₄×C₇₃	—	4	8	no	—
573	C₂×C₄×C₇₃	C₂×#41	1	4	yes	—
574	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
575	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
576	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
577	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
578	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
579	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
580	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
581	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
582	C₂²⋊D₇₃	—	2	16	no	—
583	C₂²⋊D₇₃	—	2	16	no	—
584	C₂²⋊D₇₃	—	2	16	no	—
585	C₂²⋊D₇₃	—	4	8	no	—
586	C₂²⋊D₇₃	—	4	8	no	—
587	C₂²⋊D₇₃	—	4	8	no	—
588	C₂²⋊D₇₃	—	4	8	no	—
589	C₂×Dic₇₃	—	2	2	no	—
590	C₂×Dic₇₃	—	2	4	no	—
591	C₂×Dic₇₃	—	2	2	no	—
592	C₂×Dic₇₃	—	2	4	no	—
593	C₂×Dic₇₃	—	2	2	no	—
594	C₂×Dic₇₃	—	2	8	no	—
595	C₂×Dic₇₃	—	2	4	no	—
596	C₂×Dic₇₃	—	2	2	no	—
597	C₂×Dic₇₃	—	2	2	no	—
598	C₂×Dic₇₃	—	2	8	no	—
599	C₂×Dic₇₃	—	2	16	no	—
600	C₂×Dic₇₃	—	4	8	no	—
601	C₂×Dic₇₃	—	4	4	no	—
602	C₂×Dic₇₃	—	4	8	no	—
603	C₂×Dic₇₃	C₂×#41	1	4	yes	—
604	C₂×Dic₇₃	C₂⁵	1	2	yes	—
605	C₂×Dic₇₃	C₂⁵	1	4	yes	—
606	C₂×Dic₇₃	C₂⁵	1	2	yes	—
607	C₂×Dic₇₃	C₂⁵	1	2	yes	—
608	C₂×Dic₇₃	C₂⁵	1	2	yes	—
609	C₂×Dic₇₃	C₂⁵	1	4	yes	—
610	C₂×Dic₇₃	C₂⁵	1	4	yes	—
611	C₂×Dic₇₃	C₂⁵	1	2	yes	—
612	C₂×Dic₇₃	C₂⁵	1	2	yes	—
613	D₂₉₂	—	2	8	no	—
614	D₂₉₂	—	4	8	no	—
615	C₄×D₇₃	—	2	8	no	—
616	C₄×D₇₃	—	2	8	no	—
617	C₄×D₇₃	—	2	8	no	—
618	C₄×D₇₃	—	4	8	no	—
619	C₄×D₇₃	—	4	8	no	—
620	C₄×D₇₃	—	4	8	no	—
621	C₄×D₇₃	C₂×#41	1	16	yes	complemented
622	Dic₁₄₆	—	2	8	no	—
623	Dic₁₄₆	—	4	8	no	—
624	C₂²×C₇₃	—	2	2	no	—
625	C₂²×C₇₃	—	2	2	no	—
626	C₂²×C₇₃	—	2	8	no	—
627	C₂²×C₇₃	—	2	4	no	—
628	C₂²×C₇₃	—	2	4	no	—
629	C₂²×C₇₃	—	2	4	no	—
630	C₂²×C₇₃	—	2	4	no	—
631	C₂²×C₇₃	—	2	4	no	—
632	C₂²×C₇₃	—	2	4	no	—
633	C₂²×C₇₃	—	4	8	no	—
634	C₂²×C₇₃	—	4	8	no	—
635	C₂²×C₇₃	C₂²×#41	1	2	yes	—
636	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	4	yes	—
637	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	2	yes	—
638	C₂²×C₇₃	#585	1	2	yes	—
639	C₂²×C₇₃	C₂⁶	1	1	yes	characteristic
640	C₂×D₇₃	—	2	2	no	—
641	C₂×D₇₃	—	2	2	no	—
642	C₂×D₇₃	—	2	8	no	—
643	C₂×D₇₃	—	2	2	no	—
644	C₂×D₇₃	—	2	4	no	—
645	C₂×D₇₃	—	2	4	no	—
646	C₂×D₇₃	—	2	2	no	—
647	C₂×D₇₃	—	2	4	no	—
648	C₂×D₇₃	—	2	2	no	—
649	C₂×D₇₃	—	4	16	no	—
650	C₂×D₇₃	—	4	4	no	—
651	C₂×D₇₃	—	4	8	no	—
652	C₂×D₇₃	—	8	16	no	—
653	C₂×D₇₃	C₂²×#41	1	4	yes	—
654	C₄×C₇₃	—	2	2	no	—
655	C₄×C₇₃	—	2	4	no	—
656	C₄×C₇₃	—	2	4	no	—
657	C₄×C₇₃	—	2	2	no	—
658	C₄×C₇₃	—	2	2	no	—
659	C₄×C₇₃	—	2	2	no	—
660	C₄×C₇₃	—	2	2	no	—
661	C₄×C₇₃	C₂²×#41	1	4	yes	—
662	Dic₇₃	—	2	4	no	—
663	Dic₇₃	—	2	2	no	—
664	Dic₇₃	—	2	2	no	—
665	Dic₇₃	—	2	4	no	—
666	Dic₇₃	—	2	2	no	—
667	Dic₇₃	—	2	4	no	—
668	Dic₇₃	—	2	2	no	—
669	Dic₇₃	—	2	2	no	—
670	Dic₇₃	C₂²×#41	1	4	yes	—
671	C₂×#3494	—	73	1	no	maximal, Sylow
672	C₂×C₇₃	—	2	4	no	—
673	C₂×C₇₃	—	4	4	no	—
674	C₂×C₇₃	—	4	4	no	—
675	C₂×C₇₃	#3494	1	4	yes	complemented
676	C₂×C₇₃	C₂³×#41	1	1	yes	characteristic
677	C₂×C₇₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
678	C₂×C₇₃	C₂×#585	1	1	yes	characteristic
679	D₇₃	—	2	4	no	—
680	D₇₃	—	4	2	no	—
681	D₇₃	—	4	4	no	—
682	#3494	—	73	32	no	—
683	C₂×#555	—	73	2	no	—
684	C₂×#553	—	73	2	no	—
685	C₂×#553	—	73	2	no	—
686	C₂×#551	—	73	2	no	—
687	C₂×#551	—	73	2	no	—
688	C₂×#547	—	73	2	no	—
689	C₂×#546	—	73	2	no	—
690	C₂×#546	—	73	2	no	—
691	C₂×#544	—	73	1	no	—
692	C₂×#542	—	73	1	no	—
693	C₂×#542	—	73	1	no	—
694	C₂×#540	—	73	1	no	—
695	C₂×#540	—	73	1	no	—
696	C₂×#535	—	73	1	no	—
697	C₂×#532	—	73	1	no	—
698	C₂×#532	D₇₃	1	1	yes	characteristic, complemented
699	C₂×#529	—	73	1	no	—
700	C₂×#529	—	73	1	no	—
701	C₂×#525	—	73	1	no	—
702	C₂²×#121	—	73	1	no	—
703	C₂×#520	—	73	1	no	—
704	C₂×#518	—	73	1	no	—
705	C₂²×#117	—	73	1	no	—
706	C₇₃	C₂×#3494	1	1	yes	characteristic, complemented, Sylow
707	C₂²×#41	—	73	2	no	—
708	C₂²×#41	—	73	1	no	—
709	C₂²×#41	C₂×D₇₃	1	2	yes	complemented
710	C₂³×D₄	—	73	2	no	—
711	C₂³×D₄	—	73	1	no	—
712	C₂⁴×C₄	—	73	1	no	—
713	#555	—	73	32	no	—
714	#553	—	73	32	no	—
715	#553	—	73	32	no	—
716	#551	—	73	32	no	—
717	#551	—	73	32	no	—
718	#547	—	73	32	no	—
719	#546	—	73	32	no	—
720	#546	—	73	32	no	—
721	#544	—	73	16	no	—
722	#542	—	73	16	no	—
723	#542	—	73	16	no	—
724	#540	—	73	16	no	—
725	#540	—	73	16	no	—
726	#535	—	73	16	no	—
727	#532	—	73	16	no	—
728	#532	C₂×D₇₃	1	16	yes	complemented
729	C₂×C₄⋊Q₈	—	73	2	no	—
730	C₂×C₄⋊Q₈	—	73	1	no	—
731	C₂×C₄⋊Q₈	C₂×D₇₃	1	1	yes	characteristic, complemented
732	C₂×#127	—	73	1	no	—
733	C₂×#127	C₂×D₇₃	1	1	yes	characteristic, complemented
734	#529	—	73	16	no	—
735	#529	—	73	16	no	—
736	C₂×#126	—	73	2	no	—
737	C₂×#126	—	73	2	no	—
738	C₂×#126	—	73	2	no	—
739	C₂×#126	—	73	2	no	—
740	C₂×#125	—	73	1	no	—
741	C₂×#125	—	73	2	no	—
742	C₂×#125	—	73	1	no	—
743	C₂×#124	—	73	2	no	—
744	C₂×#124	—	73	1	no	—
745	C₂×#124	—	73	2	no	—
746	C₂×#124	—	73	2	no	—
747	C₂×#124	—	73	1	no	—
748	C₂×#124	C₂×D₇₃	1	2	yes	complemented
749	#525	—	73	16	no	—
750	C₂×#123	—	73	2	no	—
751	C₂×#123	—	73	2	no	—
752	C₂×#123	—	73	2	no	—
753	C₂×#123	—	73	2	no	—
754	C₂×#123	—	73	2	no	—
755	C₂×#123	—	73	2	no	—
756	C₂×#123	—	73	2	no	—
757	C₂×#123	—	73	2	no	—
758	C₂×#123	—	73	2	no	—
759	C₂×C₂²⋊Q₈	—	73	2	no	—
760	C₂×C₂²⋊Q₈	—	73	2	no	—
761	C₂×C₂²⋊Q₈	—	73	1	no	—
762	C₂×C₂²⋊Q₈	—	73	2	no	—
763	C₂×C₂²⋊Q₈	—	73	1	no	—
764	C₂×C₂²⋊Q₈	—	73	2	no	—
765	C₂×#121	—	73	1	no	—
766	C₂×#121	—	73	2	no	—
767	C₂×#121	—	73	1	no	—
768	C₂×#121	—	73	2	no	—
769	C₂×#121	—	73	2	no	—
770	C₂×#121	—	73	2	no	—
771	C₂×#121	—	73	2	no	—
772	C₂×#121	—	73	2	no	—
773	C₂×#121	—	73	1	no	—
774	C₂×#121	—	73	2	no	—
775	C₂×#121	—	73	16	no	—
776	C₂×#121	—	73	1	no	—
777	C₂×#121	—	73	2	no	—
778	C₂×#121	—	73	2	no	—
779	C₂×#121	C₂×D₇₃	1	1	yes	characteristic
780	C₂×#121	C₂×D₇₃	1	1	yes	characteristic, complemented
781	C₂×#121	C₂×D₇₃	1	2	yes	complemented
782	C₂×#120	—	73	2	no	—
783	C₂×#120	—	73	2	no	—
784	C₂×#120	—	73	2	no	—
785	#520	—	73	16	no	—
786	#518	—	73	16	no	—
787	C₂×C₄×Q₈	—	73	1	no	—
788	C₂×C₄×Q₈	—	73	1	no	—
789	C₂×C₄×D₄	—	73	1	no	—
790	C₂×C₄×D₄	—	73	1	no	—
791	C₂×C₄×D₄	—	73	2	no	—
792	C₂×C₄×D₄	—	73	2	no	—
793	C₂×C₄×D₄	—	73	2	no	—
794	C₂×C₄×D₄	—	73	2	no	—
795	C₂×C₄×D₄	—	73	2	no	—
796	C₂×C₄×D₄	—	73	1	no	—
797	C₂×C₄×D₄	—	73	2	no	—
798	C₂×C₄×D₄	—	73	2	no	—
799	C₂×C₄×D₄	—	73	2	no	—
800	C₂×C₄×D₄	—	73	2	no	—
801	C₂×C₄×D₄	—	73	1	no	—
802	C₂×C₄×D₄	C₂×D₇₃	1	1	yes	characteristic, complemented
803	C₂×C₄×D₄	C₂×D₇₃	1	1	yes	characteristic, complemented
804	C₂×C₄×D₄	C₂×D₇₃	1	2	yes	complemented
805	C₂×#117	—	73	1	no	—
806	C₂×#117	—	73	2	no	—
807	C₂×#117	—	73	2	no	—
808	C₂×#117	—	73	1	no	—
809	C₂×#117	—	73	1	no	—
810	C₂×#117	—	73	1	no	—
811	C₂×#117	—	73	1	no	—
812	C₂×#117	—	73	1	no	—
813	C₂×#117	—	73	1	no	—
814	C₂×#117	—	73	1	no	—
815	C₂×#117	—	73	1	no	—
816	C₂×#117	—	73	2	no	—
817	C₂×#117	—	73	16	no	—
818	C₂²×C₄⋊C₄	—	73	1	no	—
819	C₂²×C₄⋊C₄	—	73	1	no	—
820	C₂²×C₄⋊C₄	—	73	2	no	—
821	C₂²×C₄⋊C₄	—	73	1	no	—
822	C₂²×C₂²⋊C₄	—	73	1	no	—
823	C₂²×C₂²⋊C₄	—	73	1	no	—
824	C₂²×C₂²⋊C₄	—	73	2	no	—
825	C₂²×C₂²⋊C₄	—	73	2	no	—
826	C₂²×C₂²⋊C₄	—	73	2	no	—
827	C₂²×C₄²	—	73	1	no	—
828	C₂²×C₄²	C₂×D₇₃	1	1	yes	characteristic, complemented
829	C₂⁵	—	73	2	no	—
830	C₂⁵	—	73	1	no	—
831	C₂×#41	—	4	8	no	—
832	C₂×#41	—	292	8	no	—
833	C₂×#41	—	73	16	no	—
834	C₂×#41	—	73	8	no	—
835	C₂×#41	—	146	8	no	—
836	C₂×#41	C₂²×D₇₃	1	16	yes	complemented
837	C₂²×Q₈	—	73	2	no	—
838	C₂²×Q₈	—	73	1	no	—
839	C₂²×Q₈	C₂²×D₇₃	1	2	yes	—
840	C₂²×D₄	—	292	8	no	—
841	C₂²×D₄	—	73	2	no	—
842	C₂²×D₄	—	73	2	no	—
843	C₂²×D₄	—	73	2	no	—
844	C₂²×D₄	—	73	2	no	—
845	C₂²×D₄	—	73	16	no	—
846	C₂²×D₄	—	73	2	no	—
847	C₂²×D₄	—	73	2	no	—
848	C₂²×D₄	—	73	2	no	—
849	C₂²×D₄	—	73	8	no	—
850	C₂²×D₄	—	73	2	no	—
851	C₂²×D₄	—	73	1	no	—
852	C₂²×D₄	—	146	8	no	—
853	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
854	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
855	C₂²×D₄	C₂²×D₇₃	1	2	yes	—
856	C₂²×D₄	C₂²×D₇₃	1	2	yes	—
857	C₂²×D₄	C₂²×D₇₃	1	2	yes	—
858	C₂²×D₄	C₂²×D₇₃	1	2	yes	—
859	C₂³×C₄	—	73	1	no	—
860	C₂³×C₄	—	73	2	no	—
861	C₂³×C₄	—	73	2	no	—
862	C₂³×C₄	—	73	2	no	—
863	C₂³×C₄	—	73	2	no	—
864	C₂³×C₄	—	73	2	no	—
865	C₂³×C₄	—	73	1	no	—
866	C₂³×C₄	—	73	1	no	—
867	C₂³×C₄	—	73	1	no	—
868	C₂³×C₄	—	73	2	no	—
869	C₂³×C₄	—	73	1	no	—
870	C₂³×C₄	—	73	1	no	—
871	C₂³×C₄	—	73	1	no	—
872	C₂³×C₄	—	73	8	no	—
873	C₂³×C₄	—	146	8	no	—
874	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
875	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
876	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
877	C₂³×C₄	C₂²×D₇₃	1	2	yes	—
878	C₂³×C₄	C₂²×D₇₃	1	2	yes	—
879	C₄⋊Q₈	—	73	16	no	—
880	C₄⋊Q₈	—	73	8	no	—
881	C₄⋊Q₈	C₂²×D₇₃	1	8	yes	complemented
882	#127	—	73	8	no	—
883	#127	C₂²×D₇₃	1	8	yes	complemented
884	#126	—	73	16	no	—
885	#126	—	73	16	no	—
886	#126	—	73	16	no	—
887	#126	—	73	16	no	—
888	#125	—	73	8	no	—
889	#125	—	73	16	no	—
890	#125	—	73	8	no	—
891	#124	—	73	16	no	—
892	#124	—	73	8	no	—
893	#124	—	73	16	no	—
894	#124	—	73	16	no	—
895	#124	—	73	8	no	—
896	#124	C₂²×D₇₃	1	16	yes	complemented
897	#123	—	73	16	no	—
898	#123	—	73	16	no	—
899	#123	—	73	16	no	—
900	#123	—	73	16	no	—
901	#123	—	73	16	no	—
902	#123	—	73	16	no	—
903	#123	—	73	16	no	—
904	#123	—	73	16	no	—
905	#123	—	73	16	no	—
906	C₂²⋊Q₈	—	73	16	no	—
907	C₂²⋊Q₈	—	73	16	no	—
908	C₂²⋊Q₈	—	73	8	no	—
909	C₂²⋊Q₈	—	73	16	no	—
910	C₂²⋊Q₈	—	73	8	no	—
911	C₂²⋊Q₈	—	73	16	no	—
912	#121	—	73	8	no	—
913	#121	—	73	16	no	—
914	#121	—	73	8	no	—
915	#121	—	73	16	no	—
916	#121	—	73	16	no	—
917	#121	—	73	16	no	—
918	#121	—	73	16	no	—
919	#121	—	73	16	no	—
920	#121	—	73	8	no	—
921	#121	—	73	16	no	—
922	#121	—	73	8	no	—
923	#121	—	73	16	no	—
924	#121	—	73	16	no	—
925	#121	C₂²×D₇₃	1	8	yes	—
926	#121	C₂²×D₇₃	1	8	yes	complemented
927	#121	C₂²×D₇₃	1	16	yes	complemented
928	#120	—	73	16	no	—
929	#120	—	73	16	no	—
930	#120	—	73	16	no	—
931	C₄×Q₈	—	73	8	no	—
932	C₄×Q₈	—	73	8	no	—
933	C₄×D₄	—	73	8	no	—
934	C₄×D₄	—	73	8	no	—
935	C₄×D₄	—	73	16	no	—
936	C₄×D₄	—	73	16	no	—
937	C₄×D₄	—	73	16	no	—
938	C₄×D₄	—	73	16	no	—
939	C₄×D₄	—	73	16	no	—
940	C₄×D₄	—	73	8	no	—
941	C₄×D₄	—	73	16	no	—
942	C₄×D₄	—	73	16	no	—
943	C₄×D₄	—	73	16	no	—
944	C₄×D₄	—	73	16	no	—
945	C₄×D₄	—	73	8	no	—
946	C₄×D₄	C₂²×D₇₃	1	8	yes	complemented
947	C₄×D₄	C₂²×D₇₃	1	8	yes	complemented
948	C₄×D₄	C₂²×D₇₃	1	16	yes	complemented
949	#117	—	73	8	no	—
950	#117	—	73	16	no	—
951	#117	—	73	16	no	—
952	#117	—	73	8	no	—
953	#117	—	73	8	no	—
954	#117	—	73	8	no	—
955	#117	—	73	8	no	—
956	#117	—	73	8	no	—
957	#117	—	73	8	no	—
958	#117	—	73	8	no	—
959	#117	—	73	8	no	—
960	#117	—	73	16	no	—
961	C₂×C₄⋊C₄	—	73	1	no	—
962	C₂×C₄⋊C₄	—	73	2	no	—
963	C₂×C₄⋊C₄	—	73	1	no	—
964	C₂×C₄⋊C₄	—	73	1	no	—
965	C₂×C₄⋊C₄	—	73	1	no	—
966	C₂×C₄⋊C₄	—	73	1	no	—
967	C₂×C₄⋊C₄	—	73	1	no	—
968	C₂×C₄⋊C₄	—	73	1	no	—
969	C₂×C₄⋊C₄	—	73	1	no	—
970	C₂×C₄⋊C₄	—	73	8	no	—
971	C₂×C₄⋊C₄	—	73	8	no	—
972	C₂×C₄⋊C₄	—	73	1	no	—
973	C₂×C₄⋊C₄	—	73	2	no	—
974	C₂×C₄⋊C₄	—	73	2	no	—
975	C₂×C₄⋊C₄	—	73	16	no	—
976	C₂×C₄⋊C₄	—	73	2	no	—
977	C₂×C₄⋊C₄	—	73	1	no	—
978	C₂×C₄⋊C₄	—	73	2	no	—
979	C₂×C₄⋊C₄	—	73	2	no	—
980	C₂×C₄⋊C₄	—	73	2	no	—
981	C₂×C₄⋊C₄	—	73	2	no	—
982	C₂×C₄⋊C₄	—	73	2	no	—
983	C₂×C₄⋊C₄	—	73	2	no	—
984	C₂×C₄⋊C₄	—	73	8	no	—
985	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
986	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
987	C₂×C₄⋊C₄	C₂²×D₇₃	1	2	yes	—
988	C₂×C₂²⋊C₄	—	73	2	no	—
989	C₂×C₂²⋊C₄	—	73	2	no	—
990	C₂×C₂²⋊C₄	—	73	2	no	—
991	C₂×C₂²⋊C₄	—	73	2	no	—
992	C₂×C₂²⋊C₄	—	73	2	no	—
993	C₂×C₂²⋊C₄	—	73	2	no	—
994	C₂×C₂²⋊C₄	—	73	2	no	—
995	C₂×C₂²⋊C₄	—	73	1	no	—
996	C₂×C₂²⋊C₄	—	73	1	no	—
997	C₂×C₂²⋊C₄	—	73	2	no	—
998	C₂×C₂²⋊C₄	—	73	1	no	—
999	C₂×C₂²⋊C₄	—	73	1	no	—
1000	C₂×C₂²⋊C₄	—	73	1	no	—
1001	C₂×C₂²⋊C₄	—	73	1	no	—
1002	C₂×C₂²⋊C₄	—	73	1	no	—
1003	C₂×C₂²⋊C₄	—	73	1	no	—
1004	C₂×C₂²⋊C₄	—	73	8	no	—
1005	C₂×C₂²⋊C₄	—	73	8	no	—
1006	C₂×C₂²⋊C₄	—	73	2	no	—
1007	C₂×C₂²⋊C₄	—	73	2	no	—
1008	C₂×C₂²⋊C₄	—	73	2	no	—
1009	C₂×C₂²⋊C₄	—	73	16	no	—
1010	C₂×C₂²⋊C₄	—	73	2	no	—
1011	C₂×C₂²⋊C₄	—	73	2	no	—
1012	C₂×C₂²⋊C₄	—	73	2	no	—
1013	C₂×C₂²⋊C₄	—	73	2	no	—
1014	C₂×C₂²⋊C₄	—	73	16	no	—
1015	C₂×C₂²⋊C₄	—	73	16	no	—
1016	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1017	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1018	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1019	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1020	C₂×C₄²	—	73	1	no	—
1021	C₂×C₄²	—	73	1	no	—
1022	C₂×C₄²	—	73	2	no	—
1023	C₂×C₄²	—	73	2	no	—
1024	C₂×C₄²	—	73	1	no	—
1025	C₂×C₄²	—	73	1	no	—
1026	C₂×C₄²	—	73	8	no	—
1027	C₂×C₄²	—	73	2	no	—
1028	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1029	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1030	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1031	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1032	C₂×C₄²	C₂²×D₇₃	1	8	yes	complemented
1033	C₂⁴	—	292	2	no	—
1034	C₂⁴	—	292	4	no	—
1035	C₂⁴	—	292	4	no	—
1036	C₂⁴	—	73	8	no	—
1037	C₂⁴	—	73	4	no	—
1038	C₂⁴	—	73	1	no	—
1039	C₂⁴	—	73	1	no	—
1040	C₂⁴	—	73	2	no	—
1041	C₂⁴	—	146	4	no	—
1042	C₂⁴	—	146	8	no	—
1043	C₂⁴	—	146	4	no	—
1044	C₂⁴	C₂³×D₇₃	1	2	yes	—
1045	C₂⁴	C₂³×D₇₃	1	2	yes	—
1046	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1047	#41	—	4	32	no	—
1048	#41	—	292	32	no	—
1049	#41	—	146	32	no	—
1050	C₂×Q₈	—	4	4	no	—
1051	C₂×Q₈	—	292	4	no	—
1052	C₂×Q₈	—	73	8	no	—
1053	C₂×Q₈	—	73	4	no	—
1054	C₂×Q₈	—	146	4	no	—
1055	C₂×Q₈	C₂³×D₇₃	1	8	yes	—
1056	C₂×D₄	—	2	8	no	—
1057	C₂×D₄	—	2	8	no	—
1058	C₂×D₄	—	2	4	no	—
1059	C₂×D₄	—	2	4	no	—
1060	C₂×D₄	—	4	4	no	—
1061	C₂×D₄	—	4	4	no	—
1062	C₂×D₄	—	292	4	no	—
1063	C₂×D₄	—	292	32	no	—
1064	C₂×D₄	—	292	4	no	—
1065	C₂×D₄	—	292	4	no	—
1066	C₂×D₄	—	292	4	no	—
1067	C₂×D₄	—	292	4	no	—
1068	C₂×D₄	—	73	8	no	—
1069	C₂×D₄	—	73	8	no	—
1070	C₂×D₄	—	73	8	no	—
1071	C₂×D₄	—	73	8	no	—
1072	C₂×D₄	—	73	8	no	—
1073	C₂×D₄	—	73	8	no	—
1074	C₂×D₄	—	73	8	no	—
1075	C₂×D₄	—	73	8	no	—
1076	C₂×D₄	—	73	4	no	—
1077	C₂×D₄	—	146	32	no	—
1078	C₂×D₄	—	146	8	no	—
1079	C₂×D₄	—	146	8	no	—
1080	C₂×D₄	—	146	8	no	—
1081	C₂×D₄	—	146	4	no	—
1082	C₂×D₄	C₂³×D₇₃	1	4	yes	—
1083	C₂×D₄	C₂³×D₇₃	1	4	yes	—
1084	C₂×D₄	C₂³×D₇₃	1	8	yes	—
1085	C₂×D₄	C₂³×D₇₃	1	8	yes	—
1086	C₂×D₄	C₂³×D₇₃	1	8	yes	—
1087	C₂×D₄	C₂³×D₇₃	1	8	yes	—
1088	C₂²×C₄	—	2	4	no	—
1089	C₂²×C₄	—	2	4	no	—
1090	C₂²×C₄	—	4	2	no	—
1091	C₂²×C₄	—	4	4	no	—
1092	C₂²×C₄	—	4	4	no	—
1093	C₂²×C₄	—	292	4	no	—
1094	C₂²×C₄	—	292	4	no	—
1095	C₂²×C₄	—	292	4	no	—
1096	C₂²×C₄	—	292	4	no	—
1097	C₂²×C₄	—	292	2	no	—
1098	C₂²×C₄	—	292	4	no	—
1099	C₂²×C₄	—	73	4	no	—
1100	C₂²×C₄	—	73	8	no	—
1101	C₂²×C₄	—	73	8	no	—
1102	C₂²×C₄	—	73	8	no	—
1103	C₂²×C₄	—	73	8	no	—
1104	C₂²×C₄	—	73	8	no	—
1105	C₂²×C₄	—	73	1	no	—
1106	C₂²×C₄	—	73	8	no	—
1107	C₂²×C₄	—	73	4	no	—
1108	C₂²×C₄	—	73	4	no	—
1109	C₂²×C₄	—	73	4	no	—
1110	C₂²×C₄	—	73	8	no	—
1111	C₂²×C₄	—	73	1	no	—
1112	C₂²×C₄	—	73	2	no	—
1113	C₂²×C₄	—	73	1	no	—
1114	C₂²×C₄	—	73	1	no	—
1115	C₂²×C₄	—	73	1	no	—
1116	C₂²×C₄	—	73	2	no	—
1117	C₂²×C₄	—	73	2	no	—
1118	C₂²×C₄	—	73	1	no	—
1119	C₂²×C₄	—	73	4	no	—
1120	C₂²×C₄	—	73	4	no	—
1121	C₂²×C₄	—	73	4	no	—
1122	C₂²×C₄	—	146	4	no	—
1123	C₂²×C₄	—	146	32	no	—
1124	C₂²×C₄	—	146	4	no	—
1125	C₂²×C₄	—	146	4	no	—
1126	C₂²×C₄	—	146	8	no	—
1127	C₂²×C₄	—	146	4	no	—
1128	C₂²×C₄	—	146	4	no	—
1129	C₂²×C₄	C₂³×D₇₃	1	4	yes	—
1130	C₂²×C₄	C₂³×D₇₃	1	4	yes	—
1131	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1132	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1133	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
1134	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
1135	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1136	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1137	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1138	C₂²×C₄	C₂³×D₇₃	1	4	yes	—
1139	C₂²×C₄	C₂³×D₇₃	1	8	yes	—
1140	C₂²×C₄	C₂³×D₇₃	1	8	yes	—
1141	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1142	C₄⋊C₄	—	73	4	no	—
1143	C₄⋊C₄	—	73	8	no	—
1144	C₄⋊C₄	—	73	4	no	—
1145	C₄⋊C₄	—	73	4	no	—
1146	C₄⋊C₄	—	73	4	no	—
1147	C₄⋊C₄	—	73	4	no	—
1148	C₄⋊C₄	—	73	4	no	—
1149	C₄⋊C₄	—	73	4	no	—
1150	C₄⋊C₄	—	73	4	no	—
1151	C₄⋊C₄	—	73	8	no	—
1152	C₄⋊C₄	—	73	8	no	—
1153	C₄⋊C₄	—	73	8	no	—
1154	C₄⋊C₄	—	73	8	no	—
1155	C₄⋊C₄	—	73	8	no	—
1156	C₄⋊C₄	—	73	8	no	—
1157	C₄⋊C₄	—	73	8	no	—
1158	C₄⋊C₄	—	73	4	no	—
1159	C₄⋊C₄	—	73	4	no	—
1160	C₄⋊C₄	—	73	8	no	—
1161	C₄⋊C₄	—	73	8	no	—
1162	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1163	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1164	C₄⋊C₄	C₂³×D₇₃	1	8	yes	—
1165	C₂²⋊C₄	—	73	8	no	—
1166	C₂²⋊C₄	—	73	8	no	—
1167	C₂²⋊C₄	—	73	8	no	—
1168	C₂²⋊C₄	—	73	8	no	—
1169	C₂²⋊C₄	—	73	8	no	—
1170	C₂²⋊C₄	—	73	8	no	—
1171	C₂²⋊C₄	—	73	8	no	—
1172	C₂²⋊C₄	—	73	4	no	—
1173	C₂²⋊C₄	—	73	4	no	—
1174	C₂²⋊C₄	—	73	8	no	—
1175	C₂²⋊C₄	—	73	4	no	—
1176	C₂²⋊C₄	—	73	4	no	—
1177	C₂²⋊C₄	—	73	4	no	—
1178	C₂²⋊C₄	—	73	4	no	—
1179	C₂²⋊C₄	—	73	4	no	—
1180	C₂²⋊C₄	—	73	4	no	—
1181	C₂²⋊C₄	—	73	8	no	—
1182	C₂²⋊C₄	—	73	8	no	—
1183	C₂²⋊C₄	—	73	8	no	—
1184	C₂²⋊C₄	—	73	8	no	—
1185	C₂²⋊C₄	—	73	8	no	—
1186	C₂²⋊C₄	—	73	8	no	—
1187	C₂²⋊C₄	—	73	8	no	—
1188	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1189	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1190	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1191	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1192	C₄²	—	73	4	no	—
1193	C₄²	—	73	4	no	—
1194	C₄²	—	73	4	no	—
1195	C₄²	—	73	4	no	—
1196	C₄²	—	73	8	no	—
1197	C₄²	—	73	8	no	—
1198	C₄²	—	73	8	no	—
1199	C₄²	C₂³×D₇₃	1	4	yes	—
1200	C₄²	C₂³×D₇₃	1	4	yes	—
1201	C₄²	C₂³×D₇₃	1	4	yes	—
1202	C₄²	C₂³×D₇₃	1	4	yes	—
1203	C₂³	—	2	2	no	—
1204	C₂³	—	2	2	no	—
1205	C₂³	—	2	4	no	—
1206	C₂³	—	2	4	no	—
1207	C₂³	—	2	4	no	—
1208	C₂³	—	2	4	no	—
1209	C₂³	—	2	4	no	—
1210	C₂³	—	2	4	no	—
1211	C₂³	—	292	16	no	—
1212	C₂³	—	292	4	no	—
1213	C₂³	—	292	8	no	—
1214	C₂³	—	292	8	no	—
1215	C₂³	—	584	16	no	—
1216	C₂³	—	73	4	no	—
1217	C₂³	—	73	2	no	—
1218	C₂³	—	73	2	no	—
1219	C₂³	—	73	4	no	—
1220	C₂³	—	146	8	no	—
1221	C₂³	—	146	16	no	—
1222	C₂³	—	146	2	no	—
1223	C₂³	—	146	4	no	—
1224	C₂³	—	146	4	no	—
1225	C₂³	—	146	8	no	—
1226	C₂³	—	146	2	no	—
1227	C₂³	—	146	4	no	—
1228	C₂³	—	146	2	no	—
1229	C₂³	—	146	2	no	—
1230	C₂³	—	146	2	no	—
1231	C₂³	#14556636	1	4	yes	—
1232	C₂³	C₂⁴×D₇₃	1	4	yes	—
1233	C₂³	C₂⁴×D₇₃	1	4	yes	—
1234	C₂³	C₂⁴×D₇₃	1	2	yes	—
1235	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1236	Q₈	—	4	8	no	—
1237	Q₈	—	292	8	no	—
1238	Q₈	—	146	8	no	—
1239	D₄	—	2	16	no	—
1240	D₄	—	2	16	no	—
1241	D₄	—	2	8	no	—
1242	D₄	—	2	8	no	—
1243	D₄	—	4	8	no	—
1244	D₄	—	4	8	no	—
1245	D₄	—	292	8	no	—
1246	D₄	—	292	8	no	—
1247	D₄	—	292	8	no	—
1248	D₄	—	292	8	no	—
1249	D₄	—	292	8	no	—
1250	D₄	—	146	16	no	—
1251	D₄	—	146	16	no	—
1252	D₄	—	146	16	no	—
1253	D₄	—	146	8	no	—
1254	C₂×C₄	—	2	2	no	—
1255	C₂×C₄	—	2	2	no	—
1256	C₂×C₄	—	2	2	no	—
1257	C₂×C₄	—	2	8	no	—
1258	C₂×C₄	—	2	4	no	—
1259	C₂×C₄	—	2	4	no	—
1260	C₂×C₄	—	2	2	no	—
1261	C₂×C₄	—	2	2	no	—
1262	C₂×C₄	—	2	8	no	—
1263	C₂×C₄	—	4	8	no	—
1264	C₂×C₄	—	4	8	no	—
1265	C₂×C₄	—	4	4	no	—
1266	C₂×C₄	—	292	8	no	—
1267	C₂×C₄	—	292	8	no	—
1268	C₂×C₄	—	292	8	no	—
1269	C₂×C₄	—	292	8	no	—
1270	C₂×C₄	—	292	8	no	—
1271	C₂×C₄	—	292	4	no	—
1272	C₂×C₄	—	73	4	no	—
1273	C₂×C₄	—	73	2	no	—
1274	C₂×C₄	—	73	16	no	—
1275	C₂×C₄	—	73	2	no	—
1276	C₂×C₄	—	73	4	no	—
1277	C₂×C₄	—	73	2	no	—
1278	C₂×C₄	—	73	2	no	—
1279	C₂×C₄	—	73	2	no	—
1280	C₂×C₄	—	73	4	no	—
1281	C₂×C₄	—	73	4	no	—
1282	C₂×C₄	—	73	2	no	—
1283	C₂×C₄	—	146	8	no	—
1284	C₂×C₄	—	146	8	no	—
1285	C₂×C₄	—	146	8	no	—
1286	C₂×C₄	—	146	16	no	—
1287	C₂×C₄	—	146	2	no	—
1288	C₂×C₄	—	146	4	no	—
1289	C₂×C₄	—	146	2	no	—
1290	C₂×C₄	—	146	4	no	—
1291	C₂×C₄	—	146	2	no	—
1292	C₂×C₄	—	146	8	no	—
1293	C₂×C₄	—	146	2	no	—
1294	C₂×C₄	—	146	4	no	—
1295	C₂×C₄	—	146	2	no	—
1296	C₂×C₄	—	146	8	no	—
1297	C₂×C₄	#41×D₇₃	1	4	yes	—
1298	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1299	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1300	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1301	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1302	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1303	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1304	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1305	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1306	C₂²	—	2	8	no	—
1307	C₂²	—	2	2	no	—
1308	C₂²	—	2	2	no	—
1309	C₂²	—	2	4	no	—
1310	C₂²	—	2	4	no	—
1311	C₂²	—	2	4	no	—
1312	C₂²	—	2	4	no	—
1313	C₂²	—	2	4	no	—
1314	C₂²	—	2	4	no	—
1315	C₂²	—	4	8	no	—
1316	C₂²	—	4	8	no	—
1317	C₂²	—	292	16	no	—
1318	C₂²	—	292	4	no	—
1319	C₂²	—	292	8	no	—
1320	C₂²	—	584	16	no	—
1321	C₂²	—	73	4	no	—
1322	C₂²	—	146	2	no	—
1323	C₂²	—	146	4	no	—
1324	C₂²	—	146	4	no	—
1325	C₂²	—	146	2	no	—
1326	C₂²	—	146	4	no	—
1327	C₂²	—	146	2	no	—
1328	C₂²	—	146	8	no	—
1329	C₂²	—	146	2	no	—
1330	C₂²	—	146	2	no	—
1331	C₂²	C₂×#41×D₇₃	1	2	yes	—
1332	C₂²	C₂×#14556636	1	4	yes	—
1333	C₂²	C₂×#14556636	1	2	yes	—
1334	C₂²	#17989423	1	2	yes	—
1335	C₂²	C₂⁵×D₇₃	1	1	yes	characteristic
1336	C₄	—	2	2	no	—
1337	C₄	—	2	2	no	—
1338	C₄	—	2	2	no	—
1339	C₄	—	2	4	no	—
1340	C₄	—	2	4	no	—
1341	C₄	—	2	2	no	—
1342	C₄	—	2	2	no	—
1343	C₄	—	73	4	no	—
1344	C₄	—	146	2	no	—
1345	C₄	—	146	4	no	—
1346	C₄	—	146	2	no	—
1347	C₄	—	146	4	no	—
1348	C₄	—	146	2	no	—
1349	C₄	—	146	2	no	—
1350	C₄	—	146	4	no	—
1351	C₄	—	146	2	no	—
1352	C₄	C₂×#41×D₇₃	1	4	yes	—
1353	C₂	—	2	4	no	—
1354	C₂	—	4	4	no	—
1355	C₂	—	4	4	no	—
1356	C₂	—	292	2	no	—
1357	C₂	—	292	4	no	—
1358	C₂	—	146	4	no	—
1359	C₂	#22623661	1	4	yes	direct product factor
1360	C₂	C₂²×#41×D₇₃	1	1	yes	characteristic
1361	C₂	C₂²×#14556636	1	1	yes	characteristic
1362	C₂	C₂×#17989423	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₇₃
commutator, cosocle	C₂²×C₇₃	C₂⁶
Frattini	C₂²	C₂⁵×D₇₃
Fitting	C₂×#532×C₇₃	C₂
socle	C₂³×C₇₃	C₂⁵
hypercenter	C₂×#532	D₇₃
hypocenter	C₇₃	C₂×#3494
LCS	G ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂³ ◁ C₂×#532

Complements

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

N	H ≅ G/N	type
1. #22623661	C₂	direct (N × H)
2. C₂×#17989299	C₂	semidirect
3. C₂×#17989286	C₂	semidirect
4. C₂×#17989280	C₂	semidirect
5. C₂×#17989267	C₂	semidirect
6. C₂×#17989266	C₂	semidirect
7. C₂×#17989236	C₂	semidirect
8. C₂×#17989226	C₂	semidirect
9. C₂×#17989225	C₂	semidirect
10. C₂×#17989214	C₂	semidirect
11. C₂×#17989211	C₂	semidirect
12. C₂×#17989202	C₂	semidirect
13. C₂×#17989191	C₂	semidirect
14. C₂×#17989188	C₂	semidirect
15. C₂×#17989150	C₂	semidirect
16. C₂×#17989132	C₂	semidirect
17. C₂×#17989121	C₂	semidirect
18. C₂×#17989118	C₂	semidirect
19. C₂×#17989097	C₂	semidirect
20. C₂×#121×D₇₃	C₂	semidirect
21. C₂×#17989066	C₂	semidirect
22. C₂×#17989059	C₂	semidirect
23. C₂²×#14556548	C₂	semidirect
24. C₂×#532×C₇₃	C₂	semidirect
26. C₂²×#11924027	C₂²	semidirect
30. #17989299	C₂²	semidirect
31. #17989286	C₂²	semidirect
32. #17989280	C₂²	semidirect
33. #17989267	C₂²	semidirect
34. #17989266	C₂²	semidirect
35. #17989236	C₂²	semidirect
36. #17989226	C₂²	semidirect
37. #17989225	C₂²	semidirect
38. #17989214	C₂²	semidirect
39. #17989211	C₂²	semidirect
40. #17989202	C₂²	semidirect
41. #17989191	C₂²	semidirect
42. #17989188	C₂²	semidirect
43. #17989150	C₂²	semidirect
44. #17989132	C₂²	semidirect
45. C₂×#14556590	C₂²	semidirect
46. C₂×#14556589	C₂²	semidirect
47. C₂×#14556587	C₂²	semidirect
48. #17989121	C₂²	semidirect
49. #17989118	C₂²	semidirect
50. C₂×#14556586	C₂²	semidirect
51. C₂×#14556585	C₂²	semidirect
52. C₂×#14556584	C₂²	semidirect
53. C₂×#14556584	C₂²	semidirect
54. C₂×#14556583	C₂²	semidirect
55. C₂×#14556582	C₂²	semidirect
56. C₂×#14556581	C₂²	semidirect
57. C₂×#14556580	C₂²	semidirect
58. C₂×#14556579	C₂²	semidirect
59. C₂×#14556578	C₂²	semidirect
60. C₂×#14556577	C₂²	semidirect
61. C₂×#14556577	C₂²	semidirect
62. #17989097	C₂²	semidirect
63. C₂×#14556576	C₂²	semidirect
64. C₂×#14556574	C₂²	semidirect
65. C₂×#14556574	C₂²	semidirect
66. C₂×#14556574	C₂²	semidirect
68. C₂×#14556573	C₂²	semidirect
69. C₂×#14556572	C₂²	semidirect
70. C₂×#14556572	C₂²	semidirect
71. C₂×#14556572	C₂²	semidirect
72. C₂×#14556571	C₂²	semidirect
73. C₂×#14556570	C₂²	semidirect
74. C₂×#14556570	C₂²	semidirect
77. C₂×#14556567	C₂²	semidirect
80. C₂×#14556565	C₂²	semidirect
82. C₂×#14556564	C₂²	semidirect
84. C₂×#14556563	C₂²	semidirect
85. C₂×#14556563	C₂²	semidirect
86. C₂×#14556563	C₂²	semidirect
87. C₂×#14556563	C₂²	semidirect
88. C₂×#14556563	C₂²	semidirect
90. C₂×#14556562	C₂²	semidirect
91. #121×D₇₃	C₂²	semidirect
95. #17989066	C₂²	semidirect
96. #17989059	C₂²	semidirect
97. C₂×C₄×Dic₁₄₆	C₂²	semidirect
98. C₂×#14556556	C₂²	semidirect
99. C₂×C₄×D₂₉₂	C₂²	semidirect
100. C₂×D₄×Dic₇₃	C₂²	semidirect
101. C₂×D₄×Dic₇₃	C₂²	semidirect
102. C₂×D₄×Dic₇₃	C₂²	semidirect
103. C₂×D₄×Dic₇₃	C₂²	semidirect
104. C₂×#14556553	C₂²	semidirect
106. C₂×C₄×C₂²⋊D₇₃	C₂²	semidirect
107. C₂×C₄×C₂²⋊D₇₃	C₂²	semidirect
109. C₂×#14556551	C₂²	semidirect
110. C₂×#14556551	C₂²	semidirect
111. C₂×#14556551	C₂²	semidirect
117. C₂×#14556548	C₂²	semidirect
118. C₂×#14556548	C₂²	semidirect
119. C₂×#14556548	C₂²	semidirect
120. C₂×#14556548	C₂²	semidirect
121. C₂×#14556548	C₂²	semidirect
122. C₂×#14556548	C₂²	semidirect
123. C₂×#14556547	C₂²	semidirect
124. C₂×#14556547	C₂²	semidirect
125. C₂²×#11924007	C₂²	semidirect
126. C₂²×#11924007	C₂²	semidirect
127. C₂²×#11924007	C₂²	semidirect
134. C₂²×C₄×Dic₇₃	C₂²	semidirect
135. C₂²×#41×C₇₃	C₂²	semidirect
136. #532×C₇₃	C₂²	semidirect
137. C₂×C₄⋊Q₈×C₇₃	C₂²	semidirect
138. C₂×#127×C₇₃	C₂²	semidirect
139. C₂×#124×C₇₃	C₂²	semidirect
141. C₂×#121×C₇₃	C₂²	semidirect
142. C₂×#121×C₇₃	C₂²	semidirect
143. C₂×C₄×D₄×C₇₃	C₂²	semidirect
144. C₂×C₄×D₄×C₇₃	C₂²	semidirect
145. C₂×C₄×D₄×C₇₃	C₂²	semidirect
146. C₂²×C₄²×C₇₃	C₂²	semidirect
152. C₂×#11924027	C₂³	semidirect
183. #14556590	C₂³	semidirect
184. #14556589	C₂³	semidirect
185. #14556587	C₂³	semidirect
186. #14556586	C₂³	semidirect
187. #14556585	C₂³	semidirect
188. #14556584	C₂³	semidirect
189. #14556584	C₂³	semidirect
190. #14556583	C₂³	semidirect
191. #14556582	C₂³	semidirect
192. #14556581	C₂³	semidirect
193. #14556580	C₂³	semidirect
194. #14556579	C₂³	semidirect
195. #14556578	C₂³	semidirect
196. #14556577	C₂³	semidirect
197. #14556577	C₂³	semidirect
198. #14556576	C₂³	semidirect
199. #14556574	C₂³	semidirect
200. #14556574	C₂³	semidirect
201. #14556574	C₂³	semidirect
203. #14556573	C₂³	semidirect
204. #14556572	C₂³	semidirect
205. #14556572	C₂³	semidirect
206. #14556572	C₂³	semidirect
207. #14556571	C₂³	semidirect
208. #14556570	C₂³	semidirect
209. #14556570	C₂³	semidirect
212. #14556567	C₂³	semidirect
215. #14556565	C₂³	semidirect
217. #14556564	C₂³	semidirect
219. #14556563	C₂³	semidirect
220. #14556563	C₂³	semidirect
221. #14556563	C₂³	semidirect
222. #14556563	C₂³	semidirect
223. #14556563	C₂³	semidirect
225. #14556562	C₂³	semidirect
229. C₄×Dic₁₄₆	C₂³	semidirect
230. #14556556	C₂³	semidirect
231. C₄×D₂₉₂	C₂³	semidirect
232. D₄×Dic₇₃	C₂³	semidirect
233. D₄×Dic₇₃	C₂³	semidirect
234. D₄×Dic₇₃	C₂³	semidirect
235. D₄×Dic₇₃	C₂³	semidirect
236. #14556553	C₂³	semidirect
238. C₄×C₂²⋊D₇₃	C₂³	semidirect
239. C₄×C₂²⋊D₇₃	C₂³	semidirect
241. #14556551	C₂³	semidirect
242. #14556551	C₂³	semidirect
243. #14556551	C₂³	semidirect
249. #14556548	C₂³	semidirect
250. #14556548	C₂³	semidirect
251. #14556548	C₂³	semidirect
252. #14556548	C₂³	semidirect
253. #14556548	C₂³	semidirect
254. #14556547	C₂³	semidirect
255. #14556547	C₂³	semidirect
276. C₂×#11924007	C₂³	semidirect
277. C₂×#11924007	C₂³	semidirect
278. C₂×#11924007	C₂³	semidirect
315. C₂×C₄×Dic₇₃	C₂³	semidirect
317. C₂×#41×C₇₃	C₂³	semidirect
330. C₄⋊Q₈×C₇₃	C₂³	semidirect
331. #127×C₇₃	C₂³	semidirect
332. #124×C₇₃	C₂³	semidirect
334. #121×C₇₃	C₂³	semidirect
335. #121×C₇₃	C₂³	semidirect
336. C₄×D₄×C₇₃	C₂³	semidirect
337. C₄×D₄×C₇₃	C₂³	semidirect
338. C₄×D₄×C₇₃	C₂³	semidirect
350. C₂×C₄²×C₇₃	C₂³	semidirect
416. C₂×C₄×D₇₃	#41	semidirect
621. C₄×D₇₃	C₂×#41	semidirect
675. C₂×C₇₃	#3494	semidirect
698. C₂×#532	D₇₃	semidirect
706. C₇₃	C₂×#3494	semidirect
709. C₂²×#41	C₂×D₇₃	semidirect
728. #532	C₂×D₇₃	semidirect
731. C₂×C₄⋊Q₈	C₂×D₇₃	semidirect
733. C₂×#127	C₂×D₇₃	semidirect
748. C₂×#124	C₂×D₇₃	semidirect
780. C₂×#121	C₂×D₇₃	semidirect
781. C₂×#121	C₂×D₇₃	semidirect
802. C₂×C₄×D₄	C₂×D₇₃	semidirect
803. C₂×C₄×D₄	C₂×D₇₃	semidirect
804. C₂×C₄×D₄	C₂×D₇₃	semidirect
828. C₂²×C₄²	C₂×D₇₃	semidirect
836. C₂×#41	C₂²×D₇₃	semidirect
881. C₄⋊Q₈	C₂²×D₇₃	semidirect
883. #127	C₂²×D₇₃	semidirect
896. #124	C₂²×D₇₃	semidirect
926. #121	C₂²×D₇₃	semidirect
927. #121	C₂²×D₇₃	semidirect
946. C₄×D₄	C₂²×D₇₃	semidirect
947. C₄×D₄	C₂²×D₇₃	semidirect
948. C₄×D₄	C₂²×D₇₃	semidirect
1032. C₂×C₄²	C₂²×D₇₃	semidirect
1359. C₂	#22623661	direct (N × H)

Maximal subgroups

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

subgroup	index
#22623661	2
C₂×#17989299	2
C₂×#17989286	2
C₂×#17989280	2
C₂×#17989267	2
C₂×#17989266	2
C₂×#17989236	2
C₂×#17989226	2
C₂×#17989225	2
C₂×#17989214	2
C₂×#17989211	2
C₂×#17989202	2
C₂×#17989191	2
C₂×#17989188	2
C₂×#17989150	2
C₂×#17989132	2
C₂×#17989121	2
C₂×#17989118	2
C₂×#17989097	2
C₂×#121×D₇₃	2
C₂×#17989066	2
C₂×#17989059	2
C₂²×#14556548	2
C₂×#532×C₇₃	2
C₂×#3494	73

Subgroups — C2×#22623661 #33994322

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#22623661 #33994322