Subgroups — C₂×#22624257 #33993568

Order 18688.

8814 conjugacy classes of subgroups.

The subgroup lattice has 1480 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22624257	C₂	1	32	yes	maximal, direct product factor
2	C₂×#17989326	C₂	1	2	yes	maximal, complemented
3	C₂×#17989325	C₂	1	2	yes	maximal, complemented
4	C₂×#17989319	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#17989257	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#17989256	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#17989230	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#17989226	C₂	1	2	yes	maximal, complemented
9	C₂×#17989225	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#17989222	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×D₄×C₂²⋊D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×D₄×C₂²⋊D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#17989219	C₂	1	2	yes	maximal, complemented
14	C₂×#17989192	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#17989191	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#17989187	C₂	1	2	yes	maximal, complemented
17	C₂×#17989155	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#17989152	C₂	1	2	yes	maximal, complemented
19	C₂×#17989147	C₂	1	2	yes	maximal, complemented
20	C₂×#17989145	C₂	1	2	yes	maximal, complemented
21	C₂×#127×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#17989116	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#17989115	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#535×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#11924029	C₂²	1	1	yes	characteristic, complemented
26	C₂²×#11924027	C₂²	1	2	yes	complemented
27	C₂³×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
28	C₂³×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
29	C₂²×D₄×D₇₃	C₂²	1	2	yes	complemented
30	C₂²×D₄×D₇₃	C₂²	1	1	yes	characteristic, complemented
31	C₂²×D₄×D₇₃	C₂²	1	2	yes	complemented
32	C₂²×D₄×D₇₃	C₂²	1	2	yes	complemented
33	C₂²×D₄×D₇₃	C₂²	1	1	yes	characteristic, complemented
34	C₂²×D₄×D₇₃	C₂²	1	1	yes	characteristic, complemented
35	#17989326	C₂²	1	32	yes	complemented
36	#17989325	C₂²	1	32	yes	complemented
37	#17989319	C₂²	1	16	yes	complemented
38	#17989257	C₂²	1	16	yes	complemented
39	#17989256	C₂²	1	16	yes	complemented
40	#17989230	C₂²	1	16	yes	complemented
41	#17989226	C₂²	1	32	yes	complemented
42	#17989225	C₂²	1	16	yes	complemented
43	#17989222	C₂²	1	16	yes	complemented
44	D₄×C₂²⋊D₇₃	C₂²	1	16	yes	complemented
45	D₄×C₂²⋊D₇₃	C₂²	1	16	yes	complemented
46	#17989219	C₂²	1	32	yes	complemented
47	#17989192	C₂²	1	16	yes	complemented
48	#17989191	C₂²	1	16	yes	complemented
49	#17989187	C₂²	1	32	yes	complemented
50	#17989155	C₂²	1	16	yes	complemented
51	#17989152	C₂²	1	32	yes	complemented
52	#17989147	C₂²	1	32	yes	complemented
53	#17989145	C₂²	1	32	yes	complemented
54	C₂×#14556588	C₂²	1	1	yes	characteristic, complemented
55	C₂×#14556587	C₂²	1	1	yes	characteristic
56	C₂×#14556587	C₂²	1	2	yes	complemented
57	C₂×#14556587	C₂²	1	2	yes	complemented
58	C₂×#14556587	C₂²	1	1	yes	characteristic, complemented
59	C₂×#14556587	C₂²	1	2	yes	complemented
60	C₂×#14556587	C₂²	1	1	yes	characteristic, complemented
61	#127×D₇₃	C₂²	1	16	yes	complemented
62	#17989116	C₂²	1	16	yes	complemented
63	#17989115	C₂²	1	16	yes	complemented
64	C₂×#14556586	C₂²	1	1	yes	characteristic, complemented
65	C₂×#14556584	C₂²	1	2	yes	complemented
66	C₂×#14556584	C₂²	1	1	yes	characteristic, complemented
67	C₂×#14556583	C₂²	1	1	yes	characteristic, complemented
68	C₂×#14556581	C₂²	1	1	yes	characteristic, complemented
69	C₂×#14556580	C₂²	1	1	yes	characteristic, complemented
70	C₂×#14556577	C₂²	1	1	yes	characteristic, complemented
71	C₂×#14556577	C₂²	1	2	yes	complemented
72	C₂×#14556576	C₂²	1	2	yes	complemented
73	C₂×#14556576	C₂²	1	2	yes	complemented
74	C₂×#14556576	C₂²	1	1	yes	characteristic, complemented
75	C₂×#14556575	C₂²	1	2	yes	complemented
76	C₂×#14556574	C₂²	1	2	yes	complemented
77	C₂×#14556573	C₂²	1	1	yes	characteristic, complemented
78	C₂×#14556573	C₂²	1	2	yes	complemented
79	C₂×#14556573	C₂²	1	2	yes	complemented
80	C₂×#14556573	C₂²	1	2	yes	complemented
81	C₂×#14556572	C₂²	1	2	yes	complemented
82	C₂×#14556572	C₂²	1	2	yes	complemented
83	C₂×#14556569	C₂²	1	1	yes	characteristic, complemented
84	C₂×#14556567	C₂²	1	1	yes	characteristic, complemented
85	C₂×#14556565	C₂²	1	2	yes	complemented
86	C₂×#14556565	C₂²	1	1	yes	characteristic, complemented
87	C₂×#14556565	C₂²	1	1	yes	characteristic, complemented
88	C₂×#14556564	C₂²	1	1	yes	characteristic
89	C₂×#14556564	C₂²	1	2	yes	complemented
90	C₂×#14556564	C₂²	1	2	yes	complemented
91	C₂×#14556564	C₂²	1	2	yes	complemented
92	C₂×#14556564	C₂²	1	2	yes	complemented
93	C₂×#14556564	C₂²	1	2	yes	complemented
94	C₂×#14556563	C₂²	1	2	yes	complemented
95	C₂×#14556563	C₂²	1	2	yes	complemented
96	C₂×#14556563	C₂²	1	2	yes	complemented
97	C₂×#14556563	C₂²	1	2	yes	complemented
98	C₂×#14556563	C₂²	1	2	yes	complemented
99	C₂×#14556563	C₂²	1	2	yes	complemented
100	C₂×#14556563	C₂²	1	2	yes	complemented
101	C₂×#14556562	C₂²	1	1	yes	characteristic
102	C₂×#14556562	C₂²	1	2	yes	complemented
103	C₂×#14556562	C₂²	1	2	yes	complemented
104	C₂×#14556562	C₂²	1	2	yes	complemented
105	C₂×#14556562	C₂²	1	1	yes	characteristic, complemented
106	C₂×#14556562	C₂²	1	1	yes	characteristic, complemented
107	C₂×#14556561	C₂²	1	2	yes	complemented
108	C₂×#14556561	C₂²	1	2	yes	complemented
109	C₂×#14556561	C₂²	1	2	yes	complemented
110	C₂×#14556560	C₂²	1	2	yes	complemented
111	C₂×#14556560	C₂²	1	2	yes	complemented
112	C₂×#14556559	C₂²	1	2	yes	complemented
113	C₂×#14556559	C₂²	1	2	yes	complemented
114	C₂×#14556559	C₂²	1	2	yes	complemented
115	C₂×#14556559	C₂²	1	2	yes	complemented
116	C₂×#14556559	C₂²	1	2	yes	complemented
117	C₂×Q₈×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
118	C₂×C₄×Dic₁₄₆	C₂²	1	1	yes	characteristic, complemented
119	C₂×C₄×D₂₉₂	C₂²	1	1	yes	characteristic, complemented
120	C₂×C₄×D₂₉₂	C₂²	1	1	yes	characteristic, complemented
121	C₂×C₄×D₂₉₂	C₂²	1	1	yes	characteristic, complemented
122	C₂×D₄×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
123	C₂×D₄×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
124	C₂×D₄×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
125	C₂×C₄×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
126	C₂×C₄×C₂²⋊D₇₃	C₂²	1	1	yes	characteristic, complemented
127	C₂×C₄×C₂²⋊D₇₃	C₂²	1	1	yes	characteristic, complemented
128	C₂×#14556551	C₂²	1	2	yes	complemented
129	C₂×#14556551	C₂²	1	2	yes	complemented
130	C₂×#14556548	C₂²	1	1	yes	characteristic, complemented
131	C₂×#14556547	C₂²	1	2	yes	complemented
132	C₂²×#11924005	C₂²	1	2	yes	complemented
133	C₂×C₂²⋊C₄×D₇₃	C₂²	1	2	yes	complemented
134	C₂×C₄²×D₇₃	C₂²	1	1	yes	characteristic, complemented
135	C₂²×#41×C₇₃	C₂²	1	1	yes	characteristic, complemented
136	C₂³×D₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
137	#535×C₇₃	C₂²	1	16	yes	complemented
138	C₂×#127×C₇₃	C₂²	1	1	yes	characteristic, complemented
139	C₂×#127×C₇₃	C₂²	1	1	yes	characteristic, complemented
140	C₂×#124×C₇₃	C₂²	1	1	yes	characteristic, complemented
141	C₂×#124×C₇₃	C₂²	1	1	yes	characteristic, complemented
142	C₂×#121×C₇₃	C₂²	1	2	yes	complemented
143	C₂×#121×C₇₃	C₂²	1	2	yes	complemented
144	C₂×#120×C₇₃	C₂²	1	2	yes	complemented
145	C₂×#120×C₇₃	C₂²	1	2	yes	complemented
146	C₂×#117×C₇₃	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₇₃	C₂³	1	2	yes	—
148	C₂⁴×D₇₃	C₂³	1	2	yes	—
149	C₂⁴×D₇₃	C₂³	1	2	yes	—
150	C₂×#11924029	—	4	4	no	—
151	C₂×#11924029	C₂³	1	8	yes	complemented
152	C₂×#11924027	—	4	8	no	—
153	C₂×#11924027	C₂³	1	16	yes	complemented
154	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
155	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
156	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
157	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
158	C₂²×D₂₉₂	C₂³	1	2	yes	—
159	C₂²×D₂₉₂	C₂³	1	2	yes	—
160	C₂²×D₂₉₂	C₂³	1	2	yes	—
161	C₂²×C₂²⋊D₇₃	—	4	8	no	—
162	C₂²×C₂²⋊D₇₃	—	4	8	no	—
163	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
164	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
165	C₂²×C₂²⋊D₇₃	C₂³	1	1	yes	characteristic
166	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
167	C₂²×C₂²⋊D₇₃	C₂³	1	1	yes	characteristic
168	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
169	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
170	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
171	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
172	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
173	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
174	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
175	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
176	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
177	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
178	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
179	C₂²×C₂²⋊D₇₃	C₂³	1	16	yes	complemented
180	C₂²×C₂²⋊D₇₃	C₂³	1	16	yes	complemented
181	C₂×D₄×D₇₃	—	4	4	no	—
182	C₂×D₄×D₇₃	—	4	4	no	—
183	C₂×D₄×D₇₃	—	4	4	no	—
184	C₂×D₄×D₇₃	—	4	8	no	—
185	C₂×D₄×D₇₃	—	4	8	no	—
186	C₂×D₄×D₇₃	—	4	8	no	—
187	C₂×D₄×D₇₃	C₂³	1	16	yes	complemented
188	C₂×D₄×D₇₃	C₂³	1	16	yes	complemented
189	C₂×D₄×D₇₃	C₂³	1	8	yes	complemented
190	C₂×D₄×D₇₃	C₂³	1	8	yes	complemented
191	C₂×D₄×D₇₃	C₂³	1	16	yes	complemented
192	C₂×D₄×D₇₃	C₂³	1	8	yes	complemented
193	C₂³×Dic₇₃	C₂³	1	2	yes	—
194	C₂³×Dic₇₃	C₂³	1	2	yes	—
195	C₂³×Dic₇₃	C₂³	1	2	yes	—
196	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
198	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
201	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
202	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
203	#14556588	C₂³	1	8	yes	complemented
204	#14556587	C₂³	1	8	yes	—
205	#14556587	C₂³	1	16	yes	complemented
206	#14556587	C₂³	1	8	yes	complemented
207	#14556587	C₂³	1	16	yes	complemented
208	#14556587	C₂³	1	16	yes	complemented
209	#14556587	C₂³	1	8	yes	complemented
210	#14556586	C₂³	1	8	yes	complemented
211	#14556584	C₂³	1	16	yes	complemented
212	#14556584	C₂³	1	8	yes	complemented
213	#14556583	C₂³	1	8	yes	complemented
214	#14556581	C₂³	1	8	yes	complemented
215	#14556580	C₂³	1	8	yes	complemented
216	#14556577	C₂³	1	8	yes	complemented
217	#14556577	C₂³	1	16	yes	complemented
218	#14556576	C₂³	1	8	yes	complemented
219	#14556576	C₂³	1	16	yes	complemented
220	#14556576	C₂³	1	16	yes	complemented
221	#14556575	C₂³	1	16	yes	complemented
222	#14556574	C₂³	1	16	yes	complemented
223	#14556573	C₂³	1	16	yes	complemented
224	#14556573	C₂³	1	16	yes	complemented
225	#14556573	C₂³	1	8	yes	complemented
226	#14556573	C₂³	1	16	yes	complemented
227	#14556572	C₂³	1	16	yes	complemented
228	#14556572	C₂³	1	16	yes	complemented
229	#14556569	C₂³	1	8	yes	complemented
230	#14556567	C₂³	1	8	yes	complemented
231	#14556565	C₂³	1	16	yes	complemented
232	#14556565	C₂³	1	8	yes	complemented
233	#14556565	C₂³	1	8	yes	complemented
234	#14556564	C₂³	1	8	yes	—
235	#14556564	C₂³	1	16	yes	complemented
236	#14556564	C₂³	1	16	yes	complemented
237	#14556564	C₂³	1	16	yes	complemented
238	#14556564	C₂³	1	16	yes	complemented
239	#14556564	C₂³	1	16	yes	complemented
240	#14556563	C₂³	1	16	yes	complemented
241	#14556563	C₂³	1	16	yes	complemented
242	#14556563	C₂³	1	16	yes	complemented
243	#14556563	C₂³	1	16	yes	complemented
244	#14556563	C₂³	1	16	yes	complemented
245	#14556563	C₂³	1	16	yes	complemented
246	#14556563	C₂³	1	16	yes	complemented
247	#14556562	C₂³	1	8	yes	—
248	#14556562	C₂³	1	16	yes	complemented
249	#14556562	C₂³	1	16	yes	complemented
250	#14556562	C₂³	1	16	yes	complemented
251	#14556562	C₂³	1	8	yes	complemented
252	#14556562	C₂³	1	8	yes	complemented
253	#14556561	C₂³	1	16	yes	complemented
254	#14556561	C₂³	1	16	yes	complemented
255	#14556561	C₂³	1	16	yes	complemented
256	#14556560	C₂³	1	16	yes	complemented
257	#14556560	C₂³	1	16	yes	complemented
258	#14556559	C₂³	1	16	yes	complemented
259	#14556559	C₂³	1	16	yes	complemented
260	#14556559	C₂³	1	16	yes	complemented
261	#14556559	C₂³	1	16	yes	complemented
262	#14556559	C₂³	1	16	yes	complemented
263	Q₈×Dic₇₃	C₂³	1	8	yes	complemented
264	C₄×Dic₁₄₆	C₂³	1	8	yes	complemented
265	C₄×D₂₉₂	C₂³	1	8	yes	complemented
266	C₄×D₂₉₂	C₂³	1	8	yes	complemented
267	C₄×D₂₉₂	C₂³	1	8	yes	complemented
268	D₄×Dic₇₃	C₂³	1	8	yes	complemented
269	D₄×Dic₇₃	C₂³	1	8	yes	complemented
270	D₄×Dic₇₃	C₂³	1	8	yes	complemented
271	C₄×C₂²⋊D₇₃	C₂³	1	16	yes	complemented
272	C₄×C₂²⋊D₇₃	C₂³	1	8	yes	complemented
273	C₄×C₂²⋊D₇₃	C₂³	1	8	yes	complemented
274	#14556551	C₂³	1	16	yes	complemented
275	#14556551	C₂³	1	16	yes	complemented
276	#14556548	C₂³	1	8	yes	complemented
277	#14556547	C₂³	1	16	yes	complemented
278	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
279	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
280	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
281	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
282	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
283	C₂×#11924007	C₂³	1	2	yes	—
284	C₂×#11924007	C₂³	1	2	yes	—
285	C₂×#11924007	C₂³	1	1	yes	characteristic
286	C₂×#11924007	C₂³	1	1	yes	characteristic
287	C₂×#11924007	C₂³	1	1	yes	characteristic
288	C₂×#11924007	C₂³	1	2	yes	—
289	C₂×#11924007	C₂³	1	1	yes	characteristic
290	C₂×#11924007	C₂³	1	1	yes	characteristic
291	C₂×#11924007	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
293	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
294	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
295	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
296	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
297	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
298	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
299	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
300	C₂×#11924005	C₂³	1	1	yes	characteristic
301	C₂×#11924005	C₂³	1	2	yes	—
302	C₂×#11924005	C₂³	1	1	yes	characteristic
303	C₂×#11924005	C₂³	1	2	yes	—
304	C₂×#11924005	C₂³	1	2	yes	—
305	C₂×#11924005	C₂³	1	1	yes	characteristic
306	C₂×#11924005	C₂³	1	1	yes	characteristic
307	C₂×#11924005	C₂³	1	2	yes	—
308	C₂×#11924005	C₂³	1	1	yes	characteristic
309	C₂×#11924005	C₂³	1	2	yes	—
310	C₂×#11924005	C₂³	1	1	yes	characteristic
311	C₂×#11924005	C₂³	1	2	yes	—
312	C₂×#11924005	C₂³	1	2	yes	—
313	C₂×#11924005	C₂³	1	16	yes	complemented
314	C₂²⋊C₄×D₇₃	C₂³	1	16	yes	complemented
315	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
316	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
317	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
318	C₂×C₄×Dic₇₃	C₂³	1	2	yes	—
319	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
320	C₄²×D₇₃	C₂³	1	8	yes	complemented
321	C₂⁵×C₇₃	C₂³	1	2	yes	—
322	C₂×#41×C₇₃	—	4	4	no	—
323	C₂×#41×C₇₃	C₂³	1	8	yes	complemented
324	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
325	C₂²×D₄×C₇₃	—	4	4	no	—
326	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
327	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
328	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
329	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
330	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
331	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
332	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
333	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
334	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
335	C₂²×D₄×C₇₃	C₂³	1	8	yes	complemented
336	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
337	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
338	#127×C₇₃	C₂³	1	8	yes	complemented
339	#127×C₇₃	C₂³	1	8	yes	complemented
340	#124×C₇₃	C₂³	1	8	yes	complemented
341	#124×C₇₃	C₂³	1	8	yes	complemented
342	#121×C₇₃	C₂³	1	16	yes	complemented
343	#121×C₇₃	C₂³	1	16	yes	complemented
344	#120×C₇₃	C₂³	1	16	yes	complemented
345	#120×C₇₃	C₂³	1	16	yes	complemented
346	#117×C₇₃	C₂³	1	8	yes	complemented
347	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
348	C₂×C₄⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₄×C₇₃	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
352	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
353	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
354	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
355	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
356	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
357	C₂³×D₇₃	—	2	8	no	—
358	C₂³×D₇₃	—	2	8	no	—
359	C₂³×D₇₃	—	4	4	no	—
360	C₂³×D₇₃	—	4	4	no	—
361	C₂³×D₇₃	—	4	4	no	—
362	C₂³×D₇₃	—	4	4	no	—
363	C₂³×D₇₃	—	4	4	no	—
364	C₂³×D₇₃	—	4	4	no	—
365	C₂³×D₇₃	—	4	4	no	—
366	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
367	C₂³×D₇₃	C₂⁴	1	2	yes	—
368	C₂³×D₇₃	C₂⁴	1	2	yes	—
369	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
370	C₂³×D₇₃	C₂⁴	1	8	yes	—
371	C₂³×D₇₃	C₂⁴	1	8	yes	—
372	C₂³×D₇₃	C₂⁴	1	8	yes	—
373	#11924029	—	4	16	no	—
374	#11924027	—	4	32	no	—
375	C₂×Dic₁₄₆	—	2	4	no	—
376	C₂×Dic₁₄₆	C₂⁴	1	4	yes	—
377	C₂×D₂₉₂	—	2	4	no	—
378	C₂×D₂₉₂	—	2	4	no	—
379	C₂×D₂₉₂	—	2	4	no	—
380	C₂×D₂₉₂	—	4	4	no	—
381	C₂×D₂₉₂	—	4	4	no	—
382	C₂×D₂₉₂	—	4	4	no	—
383	C₂×D₂₉₂	C₂⁴	1	4	yes	—
384	C₂×D₂₉₂	C₂⁴	1	4	yes	—
385	C₂×D₂₉₂	C₂⁴	1	4	yes	—
386	C₂×D₂₉₂	C₂⁴	1	8	yes	—
387	C₂×D₂₉₂	C₂⁴	1	8	yes	—
388	C₂×D₂₉₂	C₂⁴	1	8	yes	—
389	C₂×C₂²⋊D₇₃	—	2	8	no	—
390	C₂×C₂²⋊D₇₃	—	2	4	no	—
391	C₂×C₂²⋊D₇₃	—	2	8	no	—
392	C₂×C₂²⋊D₇₃	—	2	8	no	—
393	C₂×C₂²⋊D₇₃	—	2	4	no	—
394	C₂×C₂²⋊D₇₃	—	4	32	no	—
395	C₂×C₂²⋊D₇₃	—	4	4	no	—
396	C₂×C₂²⋊D₇₃	—	4	4	no	—
397	C₂×C₂²⋊D₇₃	—	4	4	no	—
398	C₂×C₂²⋊D₇₃	—	4	4	no	—
399	C₂×C₂²⋊D₇₃	—	4	4	no	—
400	C₂×C₂²⋊D₇₃	—	4	4	no	—
401	C₂×C₂²⋊D₇₃	—	4	4	no	—
402	C₂×C₂²⋊D₇₃	—	4	4	no	—
403	C₂×C₂²⋊D₇₃	—	4	4	no	—
404	C₂×C₂²⋊D₇₃	—	4	4	no	—
405	C₂×C₂²⋊D₇₃	—	4	4	no	—
406	C₂×C₂²⋊D₇₃	—	4	32	no	—
407	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
408	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
409	C₂×C₂²⋊D₇₃	C₂⁴	1	4	yes	—
410	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
411	C₂×C₂²⋊D₇₃	C₂⁴	1	4	yes	—
412	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
413	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
414	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
415	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
416	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
417	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
418	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
419	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
420	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
421	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
422	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
423	D₄×D₇₃	—	4	16	no	—
424	D₄×D₇₃	—	4	16	no	—
425	D₄×D₇₃	—	4	16	no	—
426	D₄×D₇₃	—	4	32	no	—
427	D₄×D₇₃	—	4	32	no	—
428	D₄×D₇₃	—	4	32	no	—
429	C₂²×Dic₇₃	—	2	8	no	—
430	C₂²×Dic₇₃	—	4	4	no	—
431	C₂²×Dic₇₃	—	4	4	no	—
432	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
434	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
435	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
436	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
437	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
438	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
439	C₂²×Dic₇₃	C₂⁴	1	8	yes	—
440	C₂²×Dic₇₃	C₂⁴	1	8	yes	—
441	C₂²×Dic₇₃	C₂⁴	1	8	yes	—
442	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
443	C₂×C₄×D₇₃	—	2	4	no	—
444	C₂×C₄×D₇₃	—	2	4	no	—
445	C₂×C₄×D₇₃	—	2	4	no	—
446	C₂×C₄×D₇₃	—	2	4	no	—
447	C₂×C₄×D₇₃	—	4	4	no	—
448	C₂×C₄×D₇₃	—	4	4	no	—
449	C₂×C₄×D₇₃	—	4	4	no	—
450	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
451	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
452	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
453	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
454	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
455	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
456	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
457	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
458	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
459	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
460	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
461	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
462	#11924007	C₂⁴	1	8	yes	—
463	#11924007	C₂⁴	1	8	yes	—
464	#11924007	C₂⁴	1	4	yes	—
465	#11924007	C₂⁴	1	4	yes	—
466	#11924007	C₂⁴	1	4	yes	—
467	#11924007	C₂⁴	1	8	yes	—
468	#11924007	C₂⁴	1	4	yes	—
469	#11924007	C₂⁴	1	4	yes	—
470	#11924007	C₂⁴	1	4	yes	—
471	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
472	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
473	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
474	C₂²⋊Dic₇₃	C₂⁴	1	4	yes	—
475	C₂²⋊Dic₇₃	C₂⁴	1	4	yes	—
476	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
477	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
478	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
479	#11924005	C₂⁴	1	4	yes	—
480	#11924005	C₂⁴	1	8	yes	—
481	#11924005	C₂⁴	1	4	yes	—
482	#11924005	C₂⁴	1	8	yes	—
483	#11924005	C₂⁴	1	8	yes	—
484	#11924005	C₂⁴	1	4	yes	—
485	#11924005	C₂⁴	1	4	yes	—
486	#11924005	C₂⁴	1	8	yes	—
487	#11924005	C₂⁴	1	4	yes	—
488	#11924005	C₂⁴	1	8	yes	—
489	#11924005	C₂⁴	1	4	yes	—
490	#11924005	C₂⁴	1	8	yes	—
491	#11924005	C₂⁴	1	8	yes	—
492	C₄×Dic₇₃	C₂⁴	1	4	yes	—
493	C₄×Dic₇₃	C₂⁴	1	4	yes	—
494	C₄×Dic₇₃	C₂⁴	1	4	yes	—
495	C₄×Dic₇₃	C₂⁴	1	8	yes	—
496	C₄×Dic₇₃	C₂⁴	1	4	yes	—
497	C₂⁴×C₇₃	—	4	4	no	—
498	C₂⁴×C₇₃	—	4	4	no	—
499	C₂⁴×C₇₃	—	4	4	no	—
500	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
501	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
502	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
503	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
504	C₂⁴×C₇₃	C₂⁴	1	8	yes	—
505	#41×C₇₃	—	4	16	no	—
506	C₂×Q₈×C₇₃	—	2	4	no	—
507	C₂×Q₈×C₇₃	C₂⁴	1	4	yes	—
508	C₂×D₄×C₇₃	—	2	4	no	—
509	C₂×D₄×C₇₃	—	2	4	no	—
510	C₂×D₄×C₇₃	—	2	4	no	—
511	C₂×D₄×C₇₃	—	4	16	no	—
512	C₂×D₄×C₇₃	—	4	4	no	—
513	C₂×D₄×C₇₃	—	4	4	no	—
514	C₂×D₄×C₇₃	—	4	4	no	—
515	C₂×D₄×C₇₃	—	4	4	no	—
516	C₂×D₄×C₇₃	—	4	4	no	—
517	C₂×D₄×C₇₃	—	4	4	no	—
518	C₂×D₄×C₇₃	C₂⁴	1	4	yes	—
519	C₂×D₄×C₇₃	C₂⁴	1	4	yes	—
520	C₂×D₄×C₇₃	C₂⁴	1	4	yes	—
521	C₂×D₄×C₇₃	C₂⁴	1	8	yes	—
522	C₂×D₄×C₇₃	C₂⁴	1	8	yes	—
523	C₂×D₄×C₇₃	C₂⁴	1	8	yes	—
524	C₂×D₄×C₇₃	C₂⁴	1	8	yes	—
525	C₂×D₄×C₇₃	C₂⁴	1	8	yes	—
526	C₂×D₄×C₇₃	C₂⁴	1	8	yes	—
527	C₂²×C₄×C₇₃	—	2	4	no	—
528	C₂²×C₄×C₇₃	—	4	4	no	—
529	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
533	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
534	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
535	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
536	C₂²×C₄×C₇₃	C₂⁴	1	8	yes	—
537	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
538	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
539	C₄⋊C₄×C₇₃	C₂⁴	1	4	yes	—
540	C₂²⋊C₄×C₇₃	C₂⁴	1	4	yes	—
541	C₂²⋊C₄×C₇₃	C₂⁴	1	4	yes	—
542	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
543	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
544	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
545	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
546	C₄²×C₇₃	C₂⁴	1	4	yes	—
547	C₄²×C₇₃	C₂⁴	1	4	yes	—
548	C₂³×C₇₃	—	2	2	no	—
549	C₂³×C₇₃	—	2	4	no	—
550	C₂³×C₇₃	—	2	4	no	—
551	C₂³×C₇₃	—	2	4	no	—
552	C₂³×C₇₃	—	2	4	no	—
553	C₂³×C₇₃	—	2	4	no	—
554	C₂³×C₇₃	—	2	4	no	—
555	C₂³×C₇₃	—	2	4	no	—
556	C₂³×C₇₃	—	2	4	no	—
557	C₂³×C₇₃	—	2	4	no	—
558	C₂³×C₇₃	—	2	2	no	—
559	C₂³×C₇₃	—	2	2	no	—
560	C₂³×C₇₃	—	4	8	no	—
561	C₂³×C₇₃	—	4	8	no	—
562	C₂³×C₇₃	—	4	8	no	—
563	C₂³×C₇₃	—	8	16	no	—
564	C₂³×C₇₃	C₂⁵	1	2	yes	—
565	C₂³×C₇₃	C₂⁵	1	4	yes	—
566	C₂³×C₇₃	C₂⁵	1	4	yes	—
567	C₂³×C₇₃	C₂⁵	1	4	yes	—
568	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
569	C₂²×D₇₃	—	2	2	no	—
570	C₂²×D₇₃	—	2	2	no	—
571	C₂²×D₇₃	—	2	2	no	—
572	C₂²×D₇₃	—	2	4	no	—
573	C₂²×D₇₃	—	2	4	no	—
574	C₂²×D₇₃	—	2	4	no	—
575	C₂²×D₇₃	—	2	2	no	—
576	C₂²×D₇₃	—	2	4	no	—
577	C₂²×D₇₃	—	2	4	no	—
578	C₂²×D₇₃	—	2	2	no	—
579	C₂²×D₇₃	—	2	4	no	—
580	C₂²×D₇₃	—	2	16	no	—
581	C₂²×D₇₃	—	2	16	no	—
582	C₂²×D₇₃	—	4	8	no	—
583	C₂²×D₇₃	—	4	8	no	—
584	C₂²×D₇₃	—	4	8	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	C₂²×D₇₃	—	8	16	no	—
590	C₂²×D₇₃	—	8	16	no	—
591	C₂²×D₇₃	—	8	16	no	—
592	C₂²×D₇₃	H(5,𝔽₂)	1	4	yes	—
593	C₂²×D₇₃	C₂⁵	1	2	yes	—
594	C₂²×D₇₃	C₂⁵	1	4	yes	—
595	C₂²×D₇₃	C₂⁵	1	4	yes	—
596	C₂²×D₇₃	C₂⁵	1	2	yes	—
597	Q₈×C₇₃	—	2	8	no	—
598	D₄×C₇₃	—	2	8	no	—
599	D₄×C₇₃	—	2	8	no	—
600	D₄×C₇₃	—	2	8	no	—
601	D₄×C₇₃	—	4	8	no	—
602	D₄×C₇₃	—	4	8	no	—
603	D₄×C₇₃	—	4	8	no	—
604	D₄×C₇₃	—	4	8	no	—
605	D₄×C₇₃	—	4	8	no	—
606	D₄×C₇₃	—	4	8	no	—
607	C₂×C₄×C₇₃	—	2	2	no	—
608	C₂×C₄×C₇₃	—	2	4	no	—
609	C₂×C₄×C₇₃	—	2	2	no	—
610	C₂×C₄×C₇₃	—	2	2	no	—
611	C₂×C₄×C₇₃	—	2	2	no	—
612	C₂×C₄×C₇₃	—	2	2	no	—
613	C₂×C₄×C₇₃	—	2	8	no	—
614	C₂×C₄×C₇₃	—	4	8	no	—
615	C₂×C₄×C₇₃	H(5,𝔽₂)	1	4	yes	—
616	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
617	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
618	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
619	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
620	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
621	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
622	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
623	C₂²⋊D₇₃	—	2	16	no	—
624	C₂²⋊D₇₃	—	2	8	no	—
625	C₂²⋊D₇₃	—	2	16	no	—
626	C₂²⋊D₇₃	—	2	16	no	—
627	C₂²⋊D₇₃	—	2	8	no	—
628	C₂²⋊D₇₃	—	4	8	no	—
629	C₂²⋊D₇₃	—	4	8	no	—
630	C₂²⋊D₇₃	—	4	8	no	—
631	C₂²⋊D₇₃	—	4	8	no	—
632	C₂²⋊D₇₃	—	4	8	no	—
633	C₂²⋊D₇₃	—	4	8	no	—
634	C₂²⋊D₇₃	—	4	8	no	—
635	C₂²⋊D₇₃	—	4	8	no	—
636	C₂²⋊D₇₃	—	4	8	no	—
637	C₂²⋊D₇₃	—	4	8	no	—
638	C₂²⋊D₇₃	—	4	8	no	—
639	C₂×Dic₇₃	—	2	2	no	—
640	C₂×Dic₇₃	—	2	2	no	—
641	C₂×Dic₇₃	—	2	2	no	—
642	C₂×Dic₇₃	—	2	4	no	—
643	C₂×Dic₇₃	—	2	4	no	—
644	C₂×Dic₇₃	—	2	2	no	—
645	C₂×Dic₇₃	—	2	2	no	—
646	C₂×Dic₇₃	—	2	16	no	—
647	C₂×Dic₇₃	—	4	8	no	—
648	C₂×Dic₇₃	—	4	8	no	—
649	C₂×Dic₇₃	H(5,𝔽₂)	1	4	yes	—
650	C₂×Dic₇₃	C₂⁵	1	2	yes	—
651	C₂×Dic₇₃	C₂⁵	1	2	yes	—
652	C₂×Dic₇₃	C₂⁵	1	2	yes	—
653	C₂×Dic₇₃	C₂⁵	1	2	yes	—
654	C₂×Dic₇₃	C₂⁵	1	4	yes	—
655	C₂×Dic₇₃	C₂⁵	1	4	yes	—
656	C₂×Dic₇₃	C₂⁵	1	2	yes	—
657	C₂×Dic₇₃	C₂⁵	1	2	yes	—
658	D₂₉₂	—	2	8	no	—
659	D₂₉₂	—	2	8	no	—
660	D₂₉₂	—	2	8	no	—
661	D₂₉₂	—	4	8	no	—
662	D₂₉₂	—	4	8	no	—
663	D₂₉₂	—	4	8	no	—
664	C₄×D₇₃	—	2	8	no	—
665	C₄×D₇₃	—	2	8	no	—
666	C₄×D₇₃	—	2	8	no	—
667	C₄×D₇₃	—	2	8	no	—
668	C₄×D₇₃	—	4	8	no	—
669	C₄×D₇₃	—	4	8	no	—
670	C₄×D₇₃	—	4	8	no	—
671	Dic₁₄₆	—	2	8	no	—
672	C₂²×C₇₃	—	2	4	no	—
673	C₂²×C₇₃	—	2	4	no	—
674	C₂²×C₇₃	—	2	4	no	—
675	C₂²×C₇₃	—	2	2	no	—
676	C₂²×C₇₃	—	2	2	no	—
677	C₂²×C₇₃	—	2	4	no	—
678	C₂²×C₇₃	—	2	4	no	—
679	C₂²×C₇₃	—	2	4	no	—
680	C₂²×C₇₃	—	2	4	no	—
681	C₂²×C₇₃	—	2	4	no	—
682	C₂²×C₇₃	—	2	4	no	—
683	C₂²×C₇₃	—	2	2	no	—
684	C₂²×C₇₃	—	4	8	no	—
685	C₂²×C₇₃	—	4	8	no	—
686	C₂²×C₇₃	—	4	8	no	—
687	C₂²×C₇₃	—	4	4	no	—
688	C₂²×C₇₃	—	8	16	no	—
689	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	2	yes	—
690	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	2	yes	—
691	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	2	yes	—
692	C₂²×C₇₃	C₂⁶	1	1	yes	characteristic
693	C₂×D₇₃	—	2	2	no	—
694	C₂×D₇₃	—	2	2	no	—
695	C₂×D₇₃	—	2	8	no	—
696	C₂×D₇₃	—	2	2	no	—
697	C₂×D₇₃	—	2	4	no	—
698	C₂×D₇₃	—	2	4	no	—
699	C₂×D₇₃	—	2	4	no	—
700	C₂×D₇₃	—	2	2	no	—
701	C₂×D₇₃	—	2	4	no	—
702	C₂×D₇₃	—	2	4	no	—
703	C₂×D₇₃	—	2	4	no	—
704	C₂×D₇₃	—	2	2	no	—
705	C₂×D₇₃	—	4	8	no	—
706	C₂×D₇₃	—	4	4	no	—
707	C₂×D₇₃	—	4	8	no	—
708	C₂×D₇₃	—	8	16	no	—
709	C₂×D₇₃	—	8	16	no	—
710	C₂×D₇₃	—	8	16	no	—
711	C₂×D₇₃	C₂×H(5,𝔽₂)	1	4	yes	—
712	C₄×C₇₃	—	2	2	no	—
713	C₄×C₇₃	—	2	2	no	—
714	C₄×C₇₃	—	2	2	no	—
715	C₄×C₇₃	—	2	2	no	—
716	C₄×C₇₃	—	2	4	no	—
717	C₄×C₇₃	—	2	2	no	—
718	C₄×C₇₃	C₂×H(5,𝔽₂)	1	4	yes	—
719	Dic₇₃	—	2	2	no	—
720	Dic₇₃	—	2	2	no	—
721	Dic₇₃	—	2	2	no	—
722	Dic₇₃	—	2	2	no	—
723	Dic₇₃	—	2	4	no	—
724	Dic₇₃	—	2	4	no	—
725	Dic₇₃	—	2	2	no	—
726	Dic₇₃	C₂×H(5,𝔽₂)	1	4	yes	—
727	C₂×#3543	—	73	1	no	maximal, Sylow
728	C₂×C₇₃	—	4	4	no	—
729	C₂×C₇₃	—	4	4	no	—
730	C₂×C₇₃	—	4	4	no	—
731	C₂×C₇₃	—	4	2	no	—
732	C₂×C₇₃	#3543	1	4	yes	complemented
733	C₂×C₇₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
734	C₂×C₇₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
735	C₂×C₇₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
736	D₇₃	—	2	4	no	—
737	D₇₃	—	4	4	no	—
738	D₇₃	—	4	2	no	—
739	D₇₃	—	4	4	no	—
740	#3543	—	73	32	no	—
741	C₂×#560	—	73	2	no	—
742	C₂×#560	—	73	2	no	—
743	C₂×#559	—	73	1	no	—
744	C₂×#550	—	73	1	no	—
745	C₂×#550	—	73	1	no	—
746	C₂×#546	—	73	1	no	—
747	C₂×#546	—	73	1	no	—
748	C₂×#546	—	73	2	no	—
749	C₂×D₄²	—	73	1	no	—
750	C₂×D₄²	—	73	1	no	—
751	C₂×D₄²	—	73	1	no	—
752	C₂×D₄²	—	73	2	no	—
753	C₂×#540	—	73	1	no	—
754	C₂×#540	—	73	2	no	—
755	C₂×#540	—	73	1	no	—
756	C₂×#535	—	73	1	no	—
757	C₂×#535	—	73	2	no	—
758	C₂×#535	D₇₃	1	1	yes	characteristic, complemented
759	C₂×#534	—	73	2	no	—
760	C₂×#534	—	73	2	no	—
761	C₂²×#127	—	73	1	no	—
762	C₂×#529	—	73	1	no	—
763	C₂×#529	—	73	1	no	—
764	C₇₃	C₂×#3543	1	1	yes	characteristic, complemented, Sylow
765	C₂²×#41	—	73	1	no	—
766	C₂²×#41	—	73	2	no	—
767	C₂²×#41	C₂×D₇₃	1	1	yes	characteristic, complemented
768	C₂³×D₄	—	73	2	no	—
769	C₂³×D₄	—	73	2	no	—
770	C₂³×D₄	—	73	2	no	—
771	C₂³×D₄	—	73	1	no	—
772	C₂³×D₄	—	73	1	no	—
773	C₂³×D₄	—	73	2	no	—
774	C₂³×D₄	—	73	2	no	—
775	C₂³×D₄	—	73	1	no	—
776	C₂³×D₄	C₂×D₇₃	1	1	yes	characteristic, complemented
777	#560	—	73	32	no	—
778	#560	—	73	32	no	—
779	#559	—	73	16	no	—
780	#550	—	73	16	no	—
781	#550	—	73	16	no	—
782	#546	—	73	16	no	—
783	#546	—	73	16	no	—
784	#546	—	73	32	no	—
785	D₄²	—	73	16	no	—
786	D₄²	—	73	16	no	—
787	D₄²	—	73	16	no	—
788	D₄²	—	73	32	no	—
789	#540	—	73	16	no	—
790	#540	—	73	32	no	—
791	#540	—	73	16	no	—
792	#535	—	73	16	no	—
793	#535	—	73	32	no	—
794	#535	C₂×D₇₃	1	16	yes	complemented
795	#534	—	73	32	no	—
796	#534	—	73	32	no	—
797	C₂×#127	—	73	1	no	—
798	C₂×#127	—	73	2	no	—
799	C₂×#127	—	73	1	no	—
800	C₂×#127	—	73	2	no	—
801	C₂×#127	—	73	1	no	—
802	C₂×#127	—	73	2	no	—
803	C₂×#127	—	73	16	no	—
804	C₂×#127	—	73	1	no	—
805	C₂×#127	C₂×D₇₃	1	1	yes	characteristic, complemented
806	C₂×#127	C₂×D₇₃	1	1	yes	characteristic, complemented
807	#529	—	73	16	no	—
808	#529	—	73	16	no	—
809	C₂×#126	—	73	1	no	—
810	C₂×#126	—	73	2	no	—
811	C₂×#126	—	73	1	no	—
812	C₂×#125	—	73	1	no	—
813	C₂×#125	—	73	1	no	—
814	C₂×#124	—	73	1	no	—
815	C₂×#124	—	73	1	no	—
816	C₂×#124	—	73	2	no	—
817	C₂×#124	C₂×D₇₃	1	1	yes	characteristic, complemented
818	C₂×#124	C₂×D₇₃	1	1	yes	characteristic, complemented
819	C₂×#123	—	73	2	no	—
820	C₂×#123	—	73	2	no	—
821	C₂×#123	—	73	2	no	—
822	C₂×#123	—	73	1	no	—
823	C₂×#123	—	73	2	no	—
824	C₂×#123	—	73	2	no	—
825	C₂×#123	—	73	2	no	—
826	C₂×#123	—	73	1	no	—
827	C₂×#123	—	73	2	no	—
828	C₂×#123	—	73	2	no	—
829	C₂×#123	—	73	2	no	—
830	C₂×C₂²⋊Q₈	—	73	1	no	—
831	C₂×C₂²⋊Q₈	—	73	1	no	—
832	C₂×#121	—	73	1	no	—
833	C₂×#121	—	73	2	no	—
834	C₂×#121	—	73	2	no	—
835	C₂×#121	—	73	2	no	—
836	C₂×#121	—	73	2	no	—
837	C₂×#121	—	73	2	no	—
838	C₂×#121	—	73	1	no	—
839	C₂×#121	—	73	2	no	—
840	C₂×#121	—	73	1	no	—
841	C₂×#121	—	73	2	no	—
842	C₂×#121	—	73	2	no	—
843	C₂×#121	—	73	2	no	—
844	C₂×#121	—	73	2	no	—
845	C₂×#121	—	73	2	no	—
846	C₂×#121	—	73	1	no	—
847	C₂×#121	—	73	1	no	—
848	C₂×#121	—	73	1	no	—
849	C₂×#121	—	73	2	no	—
850	C₂×#121	—	73	2	no	—
851	C₂×#121	—	73	2	no	—
852	C₂×#121	—	73	2	no	—
853	C₂×#121	—	73	2	no	—
854	C₂×#121	C₂×D₇₃	1	2	yes	complemented
855	C₂×#121	C₂×D₇₃	1	2	yes	complemented
856	C₂×#120	—	73	2	no	—
857	C₂×#120	—	73	2	no	—
858	C₂×#120	—	73	2	no	—
859	C₂×#120	—	73	2	no	—
860	C₂×#120	—	73	2	no	—
861	C₂×#120	—	73	2	no	—
862	C₂×#120	—	73	2	no	—
863	C₂×#120	—	73	2	no	—
864	C₂×#120	—	73	2	no	—
865	C₂×#120	—	73	2	no	—
866	C₂×#120	C₂×D₇₃	1	2	yes	complemented
867	C₂×#120	C₂×D₇₃	1	2	yes	complemented
868	C₂×C₄×Q₈	—	73	1	no	—
869	C₂×C₄×Q₈	—	73	1	no	—
870	C₂×C₄×D₄	—	73	1	no	—
871	C₂×C₄×D₄	—	73	1	no	—
872	C₂×C₄×D₄	—	73	1	no	—
873	C₂×C₄×D₄	—	73	1	no	—
874	C₂×C₄×D₄	—	73	1	no	—
875	C₂×C₄×D₄	—	73	2	no	—
876	C₂×C₄×D₄	—	73	2	no	—
877	C₂×C₄×D₄	—	73	2	no	—
878	C₂×C₄×D₄	—	73	1	no	—
879	C₂×C₄×D₄	—	73	1	no	—
880	C₂×C₄×D₄	—	73	1	no	—
881	C₂×#117	—	73	2	no	—
882	C₂×#117	—	73	1	no	—
883	C₂×#117	C₂×D₇₃	1	1	yes	characteristic, complemented
884	C₂²×C₂²⋊C₄	—	73	2	no	—
885	C₂²×C₂²⋊C₄	—	73	2	no	—
886	C₂²×C₄²	—	73	1	no	—
887	C₂⁵	—	73	2	no	—
888	C₂⁵	—	73	2	no	—
889	C₂⁵	—	73	2	no	—
890	C₂⁵	C₂²×D₇₃	1	2	yes	—
891	C₂×#41	—	4	4	no	—
892	C₂×#41	—	292	8	no	—
893	C₂×#41	—	292	4	no	—
894	C₂×#41	—	73	8	no	—
895	C₂×#41	—	73	16	no	—
896	C₂×#41	C₂²×D₇₃	1	8	yes	complemented
897	C₂²×Q₈	—	73	1	no	—
898	C₂²×Q₈	C₂²×D₇₃	1	1	yes	characteristic
899	C₂²×D₄	—	4	4	no	—
900	C₂²×D₄	—	292	8	no	—
901	C₂²×D₄	—	292	8	no	—
902	C₂²×D₄	—	292	4	no	—
903	C₂²×D₄	—	292	4	no	—
904	C₂²×D₄	—	292	4	no	—
905	C₂²×D₄	—	292	8	no	—
906	C₂²×D₄	—	292	8	no	—
907	C₂²×D₄	—	292	8	no	—
908	C₂²×D₄	—	73	2	no	—
909	C₂²×D₄	—	73	2	no	—
910	C₂²×D₄	—	73	2	no	—
911	C₂²×D₄	—	73	2	no	—
912	C₂²×D₄	—	73	2	no	—
913	C₂²×D₄	—	73	2	no	—
914	C₂²×D₄	—	73	2	no	—
915	C₂²×D₄	—	73	2	no	—
916	C₂²×D₄	—	73	2	no	—
917	C₂²×D₄	—	73	2	no	—
918	C₂²×D₄	—	73	2	no	—
919	C₂²×D₄	—	73	16	no	—
920	C₂²×D₄	—	73	16	no	—
921	C₂²×D₄	—	73	16	no	—
922	C₂²×D₄	—	73	8	no	—
923	C₂²×D₄	—	73	8	no	—
924	C₂²×D₄	—	73	16	no	—
925	C₂²×D₄	—	73	16	no	—
926	C₂²×D₄	—	73	8	no	—
927	C₂²×D₄	—	73	2	no	—
928	C₂²×D₄	—	73	1	no	—
929	C₂²×D₄	—	73	2	no	—
930	C₂²×D₄	—	73	1	no	—
931	C₂²×D₄	—	73	2	no	—
932	C₂²×D₄	—	73	2	no	—
933	C₂²×D₄	—	73	2	no	—
934	C₂²×D₄	—	73	2	no	—
935	C₂²×D₄	—	73	1	no	—
936	C₂²×D₄	—	73	1	no	—
937	C₂²×D₄	—	73	1	no	—
938	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
939	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
940	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
941	C₂²×D₄	C₂²×D₇₃	1	2	yes	—
942	C₂²×D₄	C₂²×D₇₃	1	2	yes	—
943	C₂²×D₄	C₂²×D₇₃	1	2	yes	—
944	C₂²×D₄	C₂²×D₇₃	1	2	yes	—
945	C₂²×D₄	C₂²×D₇₃	1	2	yes	—
946	C₂²×D₄	C₂²×D₇₃	1	2	yes	—
947	C₂²×D₄	C₂²×D₇₃	1	8	yes	complemented
948	C₂³×C₄	—	73	2	no	—
949	C₂³×C₄	—	73	2	no	—
950	C₂³×C₄	—	73	2	no	—
951	C₂³×C₄	—	73	2	no	—
952	C₂³×C₄	—	73	2	no	—
953	C₂³×C₄	—	73	2	no	—
954	C₂³×C₄	—	73	1	no	—
955	C₂³×C₄	—	73	1	no	—
956	C₂³×C₄	—	73	1	no	—
957	C₂³×C₄	—	73	1	no	—
958	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
959	C₂³×C₄	C₂²×D₇₃	1	2	yes	—
960	#127	—	73	16	no	—
961	#127	—	73	8	no	—
962	#127	—	73	8	no	—
963	#127	—	73	16	no	—
964	#127	—	73	8	no	—
965	#127	—	73	16	no	—
966	#127	—	73	8	no	—
967	#127	C₂²×D₇₃	1	8	yes	complemented
968	#127	C₂²×D₇₃	1	8	yes	complemented
969	#126	—	73	8	no	—
970	#126	—	73	16	no	—
971	#126	—	73	8	no	—
972	#125	—	73	8	no	—
973	#125	—	73	8	no	—
974	#124	—	73	8	no	—
975	#124	—	73	8	no	—
976	#124	—	73	16	no	—
977	#124	C₂²×D₇₃	1	8	yes	complemented
978	#124	C₂²×D₇₃	1	8	yes	complemented
979	#123	—	73	16	no	—
980	#123	—	73	16	no	—
981	#123	—	73	16	no	—
982	#123	—	73	8	no	—
983	#123	—	73	16	no	—
984	#123	—	73	16	no	—
985	#123	—	73	16	no	—
986	#123	—	73	8	no	—
987	#123	—	73	16	no	—
988	#123	—	73	16	no	—
989	#123	—	73	16	no	—
990	C₂²⋊Q₈	—	73	8	no	—
991	C₂²⋊Q₈	—	73	8	no	—
992	#121	—	73	8	no	—
993	#121	—	73	16	no	—
994	#121	—	73	16	no	—
995	#121	—	73	16	no	—
996	#121	—	73	16	no	—
997	#121	—	73	16	no	—
998	#121	—	73	8	no	—
999	#121	—	73	16	no	—
1000	#121	—	73	8	no	—
1001	#121	—	73	16	no	—
1002	#121	—	73	16	no	—
1003	#121	—	73	16	no	—
1004	#121	—	73	16	no	—
1005	#121	—	73	16	no	—
1006	#121	—	73	8	no	—
1007	#121	—	73	8	no	—
1008	#121	—	73	8	no	—
1009	#121	—	73	16	no	—
1010	#121	—	73	16	no	—
1011	#121	—	73	16	no	—
1012	#121	—	73	16	no	—
1013	#121	—	73	16	no	—
1014	#121	C₂²×D₇₃	1	16	yes	complemented
1015	#121	C₂²×D₇₃	1	16	yes	complemented
1016	#120	—	73	16	no	—
1017	#120	—	73	16	no	—
1018	#120	—	73	16	no	—
1019	#120	—	73	16	no	—
1020	#120	—	73	16	no	—
1021	#120	—	73	16	no	—
1022	#120	—	73	16	no	—
1023	#120	—	73	16	no	—
1024	#120	—	73	16	no	—
1025	#120	—	73	16	no	—
1026	#120	C₂²×D₇₃	1	16	yes	complemented
1027	#120	C₂²×D₇₃	1	16	yes	complemented
1028	C₄×Q₈	—	73	8	no	—
1029	C₄×Q₈	—	73	8	no	—
1030	C₄×D₄	—	73	8	no	—
1031	C₄×D₄	—	73	8	no	—
1032	C₄×D₄	—	73	8	no	—
1033	C₄×D₄	—	73	8	no	—
1034	C₄×D₄	—	73	8	no	—
1035	C₄×D₄	—	73	16	no	—
1036	C₄×D₄	—	73	16	no	—
1037	C₄×D₄	—	73	16	no	—
1038	C₄×D₄	—	73	8	no	—
1039	C₄×D₄	—	73	8	no	—
1040	C₄×D₄	—	73	8	no	—
1041	#117	—	73	16	no	—
1042	#117	—	73	8	no	—
1043	#117	C₂²×D₇₃	1	8	yes	complemented
1044	C₂×C₄⋊C₄	—	73	2	no	—
1045	C₂×C₄⋊C₄	—	73	1	no	—
1046	C₂×C₄⋊C₄	—	73	2	no	—
1047	C₂×C₄⋊C₄	—	73	1	no	—
1048	C₂×C₄⋊C₄	—	73	1	no	—
1049	C₂×C₄⋊C₄	—	73	1	no	—
1050	C₂×C₄⋊C₄	—	73	1	no	—
1051	C₂×C₄⋊C₄	—	73	1	no	—
1052	C₂×C₄⋊C₄	—	73	1	no	—
1053	C₂×C₄⋊C₄	—	73	2	no	—
1054	C₂×C₄⋊C₄	—	73	1	no	—
1055	C₂×C₄⋊C₄	—	73	1	no	—
1056	C₂×C₄⋊C₄	—	73	2	no	—
1057	C₂×C₄⋊C₄	—	73	1	no	—
1058	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1059	C₂×C₄⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1060	C₂×C₂²⋊C₄	—	73	2	no	—
1061	C₂×C₂²⋊C₄	—	73	2	no	—
1062	C₂×C₂²⋊C₄	—	73	2	no	—
1063	C₂×C₂²⋊C₄	—	73	1	no	—
1064	C₂×C₂²⋊C₄	—	73	1	no	—
1065	C₂×C₂²⋊C₄	—	73	2	no	—
1066	C₂×C₂²⋊C₄	—	73	2	no	—
1067	C₂×C₂²⋊C₄	—	73	2	no	—
1068	C₂×C₂²⋊C₄	—	73	1	no	—
1069	C₂×C₂²⋊C₄	—	73	2	no	—
1070	C₂×C₂²⋊C₄	—	73	1	no	—
1071	C₂×C₂²⋊C₄	—	73	2	no	—
1072	C₂×C₂²⋊C₄	—	73	2	no	—
1073	C₂×C₂²⋊C₄	—	73	16	no	—
1074	C₂×C₂²⋊C₄	—	73	1	no	—
1075	C₂×C₂²⋊C₄	—	73	1	no	—
1076	C₂×C₂²⋊C₄	—	73	1	no	—
1077	C₂×C₂²⋊C₄	—	73	1	no	—
1078	C₂×C₂²⋊C₄	—	73	2	no	—
1079	C₂×C₂²⋊C₄	—	73	2	no	—
1080	C₂×C₂²⋊C₄	—	73	2	no	—
1081	C₂×C₂²⋊C₄	—	73	2	no	—
1082	C₂×C₂²⋊C₄	—	73	16	no	—
1083	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1084	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1085	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1086	C₂×C₂²⋊C₄	C₂²×D₇₃	1	1	yes	characteristic
1087	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1088	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1089	C₂×C₄²	—	73	1	no	—
1090	C₂×C₄²	—	73	2	no	—
1091	C₂×C₄²	—	73	1	no	—
1092	C₂×C₄²	—	73	1	no	—
1093	C₂×C₄²	—	73	1	no	—
1094	C₂×C₄²	—	73	8	no	—
1095	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1096	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1097	C₂⁴	—	4	4	no	—
1098	C₂⁴	—	4	4	no	—
1099	C₂⁴	—	4	4	no	—
1100	C₂⁴	—	292	4	no	—
1101	C₂⁴	—	292	4	no	—
1102	C₂⁴	—	292	4	no	—
1103	C₂⁴	—	292	4	no	—
1104	C₂⁴	—	292	4	no	—
1105	C₂⁴	—	292	4	no	—
1106	C₂⁴	—	292	4	no	—
1107	C₂⁴	—	73	8	no	—
1108	C₂⁴	—	73	8	no	—
1109	C₂⁴	—	73	8	no	—
1110	C₂⁴	—	73	1	no	—
1111	C₂⁴	—	73	2	no	—
1112	C₂⁴	—	73	1	no	—
1113	C₂⁴	—	73	2	no	—
1114	C₂⁴	—	146	8	no	—
1115	C₂⁴	—	146	8	no	—
1116	C₂⁴	C₂³×D₇₃	1	2	yes	—
1117	C₂⁴	C₂³×D₇₃	1	2	yes	—
1118	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1119	C₂⁴	C₂³×D₇₃	1	2	yes	—
1120	C₂⁴	C₂³×D₇₃	1	8	yes	—
1121	#41	—	4	16	no	—
1122	#41	—	292	32	no	—
1123	#41	—	292	16	no	—
1124	C₂×Q₈	—	2	4	no	—
1125	C₂×Q₈	—	73	4	no	—
1126	C₂×Q₈	—	146	4	no	—
1127	C₂×Q₈	C₂³×D₇₃	1	4	yes	—
1128	C₂×D₄	—	2	4	no	—
1129	C₂×D₄	—	2	4	no	—
1130	C₂×D₄	—	2	4	no	—
1131	C₂×D₄	—	4	16	no	—
1132	C₂×D₄	—	4	4	no	—
1133	C₂×D₄	—	4	4	no	—
1134	C₂×D₄	—	4	4	no	—
1135	C₂×D₄	—	4	4	no	—
1136	C₂×D₄	—	4	4	no	—
1137	C₂×D₄	—	4	4	no	—
1138	C₂×D₄	—	292	4	no	—
1139	C₂×D₄	—	292	4	no	—
1140	C₂×D₄	—	292	4	no	—
1141	C₂×D₄	—	292	32	no	—
1142	C₂×D₄	—	292	32	no	—
1143	C₂×D₄	—	292	16	no	—
1144	C₂×D₄	—	292	16	no	—
1145	C₂×D₄	—	292	16	no	—
1146	C₂×D₄	—	292	32	no	—
1147	C₂×D₄	—	292	32	no	—
1148	C₂×D₄	—	292	4	no	—
1149	C₂×D₄	—	292	4	no	—
1150	C₂×D₄	—	292	4	no	—
1151	C₂×D₄	—	292	4	no	—
1152	C₂×D₄	—	292	4	no	—
1153	C₂×D₄	—	292	4	no	—
1154	C₂×D₄	—	292	4	no	—
1155	C₂×D₄	—	292	4	no	—
1156	C₂×D₄	—	292	4	no	—
1157	C₂×D₄	—	292	4	no	—
1158	C₂×D₄	—	292	4	no	—
1159	C₂×D₄	—	292	32	no	—
1160	C₂×D₄	—	73	8	no	—
1161	C₂×D₄	—	73	8	no	—
1162	C₂×D₄	—	73	8	no	—
1163	C₂×D₄	—	73	8	no	—
1164	C₂×D₄	—	73	8	no	—
1165	C₂×D₄	—	73	8	no	—
1166	C₂×D₄	—	73	8	no	—
1167	C₂×D₄	—	73	8	no	—
1168	C₂×D₄	—	73	8	no	—
1169	C₂×D₄	—	73	8	no	—
1170	C₂×D₄	—	73	8	no	—
1171	C₂×D₄	—	73	8	no	—
1172	C₂×D₄	—	73	4	no	—
1173	C₂×D₄	—	73	8	no	—
1174	C₂×D₄	—	73	4	no	—
1175	C₂×D₄	—	73	8	no	—
1176	C₂×D₄	—	73	8	no	—
1177	C₂×D₄	—	73	8	no	—
1178	C₂×D₄	—	73	8	no	—
1179	C₂×D₄	—	73	4	no	—
1180	C₂×D₄	—	73	4	no	—
1181	C₂×D₄	—	73	4	no	—
1182	C₂×D₄	—	146	4	no	—
1183	C₂×D₄	—	146	8	no	—
1184	C₂×D₄	—	146	4	no	—
1185	C₂×D₄	—	146	8	no	—
1186	C₂×D₄	—	146	8	no	—
1187	C₂×D₄	—	146	4	no	—
1188	C₂×D₄	—	146	4	no	—
1189	C₂×D₄	—	146	4	no	—
1190	C₂×D₄	C₂³×D₇₃	1	4	yes	—
1191	C₂×D₄	C₂³×D₇₃	1	4	yes	—
1192	C₂×D₄	C₂³×D₇₃	1	4	yes	—
1193	C₂×D₄	C₂³×D₇₃	1	8	yes	—
1194	C₂×D₄	C₂³×D₇₃	1	8	yes	—
1195	C₂×D₄	C₂³×D₇₃	1	8	yes	—
1196	C₂×D₄	C₂³×D₇₃	1	8	yes	—
1197	C₂×D₄	C₂³×D₇₃	1	8	yes	—
1198	C₂×D₄	C₂³×D₇₃	1	8	yes	—
1199	C₂²×C₄	—	2	4	no	—
1200	C₂²×C₄	—	4	4	no	—
1201	C₂²×C₄	—	292	4	no	—
1202	C₂²×C₄	—	292	4	no	—
1203	C₂²×C₄	—	292	4	no	—
1204	C₂²×C₄	—	292	4	no	—
1205	C₂²×C₄	—	292	4	no	—
1206	C₂²×C₄	—	73	8	no	—
1207	C₂²×C₄	—	73	8	no	—
1208	C₂²×C₄	—	73	8	no	—
1209	C₂²×C₄	—	73	8	no	—
1210	C₂²×C₄	—	73	8	no	—
1211	C₂²×C₄	—	73	1	no	—
1212	C₂²×C₄	—	73	8	no	—
1213	C₂²×C₄	—	73	1	no	—
1214	C₂²×C₄	—	73	1	no	—
1215	C₂²×C₄	—	73	1	no	—
1216	C₂²×C₄	—	73	1	no	—
1217	C₂²×C₄	—	73	2	no	—
1218	C₂²×C₄	—	73	2	no	—
1219	C₂²×C₄	—	73	1	no	—
1220	C₂²×C₄	—	73	4	no	—
1221	C₂²×C₄	—	73	4	no	—
1222	C₂²×C₄	—	73	4	no	—
1223	C₂²×C₄	—	73	4	no	—
1224	C₂²×C₄	—	146	4	no	—
1225	C₂²×C₄	—	146	4	no	—
1226	C₂²×C₄	—	146	8	no	—
1227	C₂²×C₄	—	146	4	no	—
1228	C₂²×C₄	—	146	4	no	—
1229	C₂²×C₄	C₂³×D₇₃	1	4	yes	—
1230	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1231	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1232	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
1233	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1234	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1235	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1236	C₂²×C₄	C₂³×D₇₃	1	8	yes	—
1237	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1238	C₄⋊C₄	—	73	8	no	—
1239	C₄⋊C₄	—	73	4	no	—
1240	C₄⋊C₄	—	73	8	no	—
1241	C₄⋊C₄	—	73	4	no	—
1242	C₄⋊C₄	—	73	4	no	—
1243	C₄⋊C₄	—	73	4	no	—
1244	C₄⋊C₄	—	73	4	no	—
1245	C₄⋊C₄	—	73	8	no	—
1246	C₄⋊C₄	—	73	4	no	—
1247	C₄⋊C₄	—	73	4	no	—
1248	C₄⋊C₄	—	73	4	no	—
1249	C₄⋊C₄	—	73	4	no	—
1250	C₄⋊C₄	—	73	8	no	—
1251	C₄⋊C₄	—	73	4	no	—
1252	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1253	C₄⋊C₄	C₂³×D₇₃	1	4	yes	—
1254	C₂²⋊C₄	—	73	8	no	—
1255	C₂²⋊C₄	—	73	8	no	—
1256	C₂²⋊C₄	—	73	8	no	—
1257	C₂²⋊C₄	—	73	4	no	—
1258	C₂²⋊C₄	—	73	4	no	—
1259	C₂²⋊C₄	—	73	8	no	—
1260	C₂²⋊C₄	—	73	8	no	—
1261	C₂²⋊C₄	—	73	8	no	—
1262	C₂²⋊C₄	—	73	4	no	—
1263	C₂²⋊C₄	—	73	8	no	—
1264	C₂²⋊C₄	—	73	4	no	—
1265	C₂²⋊C₄	—	73	8	no	—
1266	C₂²⋊C₄	—	73	8	no	—
1267	C₂²⋊C₄	—	73	4	no	—
1268	C₂²⋊C₄	—	73	4	no	—
1269	C₂²⋊C₄	—	73	4	no	—
1270	C₂²⋊C₄	—	73	4	no	—
1271	C₂²⋊C₄	—	73	8	no	—
1272	C₂²⋊C₄	—	73	8	no	—
1273	C₂²⋊C₄	—	73	8	no	—
1274	C₂²⋊C₄	—	73	8	no	—
1275	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1276	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1277	C₂²⋊C₄	C₂³×D₇₃	1	4	yes	—
1278	C₂²⋊C₄	C₂³×D₇₃	1	4	yes	—
1279	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1280	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1281	C₄²	—	73	4	no	—
1282	C₄²	—	73	4	no	—
1283	C₄²	—	73	4	no	—
1284	C₄²	—	73	8	no	—
1285	C₄²	—	73	4	no	—
1286	C₄²	C₂³×D₇₃	1	4	yes	—
1287	C₄²	C₂³×D₇₃	1	4	yes	—
1288	C₂³	—	2	4	no	—
1289	C₂³	—	2	4	no	—
1290	C₂³	—	2	4	no	—
1291	C₂³	—	2	4	no	—
1292	C₂³	—	2	4	no	—
1293	C₂³	—	2	4	no	—
1294	C₂³	—	2	2	no	—
1295	C₂³	—	2	2	no	—
1296	C₂³	—	2	2	no	—
1297	C₂³	—	2	4	no	—
1298	C₂³	—	2	4	no	—
1299	C₂³	—	2	4	no	—
1300	C₂³	—	4	8	no	—
1301	C₂³	—	4	8	no	—
1302	C₂³	—	4	8	no	—
1303	C₂³	—	8	16	no	—
1304	C₂³	—	292	8	no	—
1305	C₂³	—	292	8	no	—
1306	C₂³	—	292	8	no	—
1307	C₂³	—	292	8	no	—
1308	C₂³	—	292	8	no	—
1309	C₂³	—	292	8	no	—
1310	C₂³	—	292	8	no	—
1311	C₂³	—	584	16	no	—
1312	C₂³	—	584	16	no	—
1313	C₂³	—	584	16	no	—
1314	C₂³	—	73	4	no	—
1315	C₂³	—	73	2	no	—
1316	C₂³	—	73	4	no	—
1317	C₂³	—	73	2	no	—
1318	C₂³	—	73	4	no	—
1319	C₂³	—	146	16	no	—
1320	C₂³	—	146	16	no	—
1321	C₂³	—	146	4	no	—
1322	C₂³	—	146	4	no	—
1323	C₂³	—	146	4	no	—
1324	C₂³	—	146	4	no	—
1325	C₂³	—	146	2	no	—
1326	C₂³	—	146	2	no	—
1327	C₂³	—	146	4	no	—
1328	C₂³	—	146	2	no	—
1329	C₂³	—	146	4	no	—
1330	C₂³	—	146	2	no	—
1331	C₂³	—	146	2	no	—
1332	C₂³	C₂⁴×D₇₃	1	4	yes	—
1333	C₂³	C₂⁴×D₇₃	1	4	yes	—
1334	C₂³	C₂⁴×D₇₃	1	2	yes	—
1335	C₂³	C₂⁴×D₇₃	1	4	yes	—
1336	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1337	Q₈	—	2	8	no	—
1338	Q₈	—	146	8	no	—
1339	D₄	—	2	8	no	—
1340	D₄	—	2	8	no	—
1341	D₄	—	2	8	no	—
1342	D₄	—	4	8	no	—
1343	D₄	—	4	8	no	—
1344	D₄	—	4	8	no	—
1345	D₄	—	4	8	no	—
1346	D₄	—	4	8	no	—
1347	D₄	—	4	8	no	—
1348	D₄	—	292	8	no	—
1349	D₄	—	292	8	no	—
1350	D₄	—	292	8	no	—
1351	D₄	—	292	8	no	—
1352	D₄	—	292	8	no	—
1353	D₄	—	292	8	no	—
1354	D₄	—	292	8	no	—
1355	D₄	—	292	8	no	—
1356	D₄	—	292	8	no	—
1357	D₄	—	292	8	no	—
1358	D₄	—	292	8	no	—
1359	D₄	—	292	8	no	—
1360	D₄	—	292	8	no	—
1361	D₄	—	292	8	no	—
1362	D₄	—	146	8	no	—
1363	D₄	—	146	16	no	—
1364	D₄	—	146	8	no	—
1365	D₄	—	146	16	no	—
1366	D₄	—	146	16	no	—
1367	D₄	—	146	8	no	—
1368	D₄	—	146	8	no	—
1369	D₄	—	146	8	no	—
1370	C₂×C₄	—	2	2	no	—
1371	C₂×C₄	—	2	2	no	—
1372	C₂×C₄	—	2	2	no	—
1373	C₂×C₄	—	2	2	no	—
1374	C₂×C₄	—	2	2	no	—
1375	C₂×C₄	—	2	4	no	—
1376	C₂×C₄	—	2	8	no	—
1377	C₂×C₄	—	4	8	no	—
1378	C₂×C₄	—	292	8	no	—
1379	C₂×C₄	—	292	8	no	—
1380	C₂×C₄	—	292	8	no	—
1381	C₂×C₄	—	292	8	no	—
1382	C₂×C₄	—	292	8	no	—
1383	C₂×C₄	—	73	4	no	—
1384	C₂×C₄	—	73	2	no	—
1385	C₂×C₄	—	73	2	no	—
1386	C₂×C₄	—	73	2	no	—
1387	C₂×C₄	—	73	2	no	—
1388	C₂×C₄	—	73	4	no	—
1389	C₂×C₄	—	73	2	no	—
1390	C₂×C₄	—	73	4	no	—
1391	C₂×C₄	—	73	2	no	—
1392	C₂×C₄	—	146	8	no	—
1393	C₂×C₄	—	146	8	no	—
1394	C₂×C₄	—	146	16	no	—
1395	C₂×C₄	—	146	4	no	—
1396	C₂×C₄	—	146	4	no	—
1397	C₂×C₄	—	146	2	no	—
1398	C₂×C₄	—	146	2	no	—
1399	C₂×C₄	—	146	2	no	—
1400	C₂×C₄	—	146	2	no	—
1401	C₂×C₄	—	146	2	no	—
1402	C₂×C₄	—	146	8	no	—
1403	C₂×C₄	—	146	8	no	—
1404	C₂×C₄	#14556636	1	4	yes	—
1405	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1406	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1407	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1408	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1409	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1410	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1411	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1412	C₂²	—	2	4	no	—
1413	C₂²	—	2	4	no	—
1414	C₂²	—	2	4	no	—
1415	C₂²	—	2	4	no	—
1416	C₂²	—	2	4	no	—
1417	C₂²	—	2	4	no	—
1418	C₂²	—	2	2	no	—
1419	C₂²	—	2	2	no	—
1420	C₂²	—	2	2	no	—
1421	C₂²	—	2	4	no	—
1422	C₂²	—	2	4	no	—
1423	C₂²	—	2	4	no	—
1424	C₂²	—	4	4	no	—
1425	C₂²	—	4	8	no	—
1426	C₂²	—	4	8	no	—
1427	C₂²	—	4	8	no	—
1428	C₂²	—	8	16	no	—
1429	C₂²	—	292	4	no	—
1430	C₂²	—	292	8	no	—
1431	C₂²	—	292	8	no	—
1432	C₂²	—	584	16	no	—
1433	C₂²	—	584	16	no	—
1434	C₂²	—	584	16	no	—
1435	C₂²	—	73	4	no	—
1436	C₂²	—	146	4	no	—
1437	C₂²	—	146	4	no	—
1438	C₂²	—	146	4	no	—
1439	C₂²	—	146	4	no	—
1440	C₂²	—	146	2	no	—
1441	C₂²	—	146	2	no	—
1442	C₂²	—	146	4	no	—
1443	C₂²	—	146	2	no	—
1444	C₂²	—	146	4	no	—
1445	C₂²	—	146	8	no	—
1446	C₂²	—	146	2	no	—
1447	C₂²	—	146	2	no	—
1448	C₂²	H(5,𝔽₂)×D₇₃	1	2	yes	—
1449	C₂²	H(5,𝔽₂)×D₇₃	1	2	yes	—
1450	C₂²	C₂×#14556636	1	2	yes	—
1451	C₂²	C₂⁵×D₇₃	1	1	yes	characteristic
1452	C₄	—	2	2	no	—
1453	C₄	—	2	2	no	—
1454	C₄	—	2	2	no	—
1455	C₄	—	2	2	no	—
1456	C₄	—	2	2	no	—
1457	C₄	—	2	4	no	—
1458	C₄	—	73	4	no	—
1459	C₄	—	146	4	no	—
1460	C₄	—	146	4	no	—
1461	C₄	—	146	2	no	—
1462	C₄	—	146	2	no	—
1463	C₄	—	146	2	no	—
1464	C₄	—	146	2	no	—
1465	C₄	—	146	2	no	—
1466	C₄	C₂×#14556636	1	4	yes	—
1467	C₂	—	4	2	no	—
1468	C₂	—	4	4	no	—
1469	C₂	—	4	4	no	—
1470	C₂	—	4	4	no	—
1471	C₂	—	292	2	no	—
1472	C₂	—	292	4	no	—
1473	C₂	—	292	4	no	—
1474	C₂	—	146	4	no	—
1475	C₂	#22624257	1	4	yes	direct product factor
1476	C₂	C₂×H(5,𝔽₂)×D₇₃	1	1	yes	characteristic
1477	C₂	C₂×H(5,𝔽₂)×D₇₃	1	1	yes	characteristic
1478	C₂	C₂²×#14556636	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₇₃
commutator, cosocle	C₂²×C₇₃	C₂⁶
Frattini	C₂²	C₂⁵×D₇₃
Fitting	C₂×#535×C₇₃	C₂
socle	C₂³×C₇₃	C₂⁵
hypercenter	C₂×#535	D₇₃
hypocenter	C₇₃	C₂×#3543
LCS	G ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂³ ◁ C₂×#535

Complements

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

N	H ≅ G/N	type
1. #22624257	C₂	direct (N × H)
2. C₂×#17989326	C₂	semidirect
3. C₂×#17989325	C₂	semidirect
4. C₂×#17989319	C₂	semidirect
5. C₂×#17989257	C₂	semidirect
6. C₂×#17989256	C₂	semidirect
7. C₂×#17989230	C₂	semidirect
8. C₂×#17989226	C₂	semidirect
9. C₂×#17989225	C₂	semidirect
10. C₂×#17989222	C₂	semidirect
11. C₂×D₄×C₂²⋊D₇₃	C₂	semidirect
12. C₂×D₄×C₂²⋊D₇₃	C₂	semidirect
13. C₂×#17989219	C₂	semidirect
14. C₂×#17989192	C₂	semidirect
15. C₂×#17989191	C₂	semidirect
16. C₂×#17989187	C₂	semidirect
17. C₂×#17989155	C₂	semidirect
18. C₂×#17989152	C₂	semidirect
19. C₂×#17989147	C₂	semidirect
20. C₂×#17989145	C₂	semidirect
21. C₂×#127×D₇₃	C₂	semidirect
22. C₂×#17989116	C₂	semidirect
23. C₂×#17989115	C₂	semidirect
24. C₂×#535×C₇₃	C₂	semidirect
25. C₂²×#11924029	C₂²	semidirect
26. C₂²×#11924027	C₂²	semidirect
27. C₂³×C₂²⋊D₇₃	C₂²	semidirect
28. C₂³×C₂²⋊D₇₃	C₂²	semidirect
29. C₂²×D₄×D₇₃	C₂²	semidirect
30. C₂²×D₄×D₇₃	C₂²	semidirect
31. C₂²×D₄×D₇₃	C₂²	semidirect
32. C₂²×D₄×D₇₃	C₂²	semidirect
33. C₂²×D₄×D₇₃	C₂²	semidirect
34. C₂²×D₄×D₇₃	C₂²	semidirect
35. #17989326	C₂²	semidirect
36. #17989325	C₂²	semidirect
37. #17989319	C₂²	semidirect
38. #17989257	C₂²	semidirect
39. #17989256	C₂²	semidirect
40. #17989230	C₂²	semidirect
41. #17989226	C₂²	semidirect
42. #17989225	C₂²	semidirect
43. #17989222	C₂²	semidirect
44. D₄×C₂²⋊D₇₃	C₂²	semidirect
45. D₄×C₂²⋊D₇₃	C₂²	semidirect
46. #17989219	C₂²	semidirect
47. #17989192	C₂²	semidirect
48. #17989191	C₂²	semidirect
49. #17989187	C₂²	semidirect
50. #17989155	C₂²	semidirect
51. #17989152	C₂²	semidirect
52. #17989147	C₂²	semidirect
53. #17989145	C₂²	semidirect
54. C₂×#14556588	C₂²	semidirect
56. C₂×#14556587	C₂²	semidirect
57. C₂×#14556587	C₂²	semidirect
58. C₂×#14556587	C₂²	semidirect
59. C₂×#14556587	C₂²	semidirect
60. C₂×#14556587	C₂²	semidirect
61. #127×D₇₃	C₂²	semidirect
62. #17989116	C₂²	semidirect
63. #17989115	C₂²	semidirect
64. C₂×#14556586	C₂²	semidirect
65. C₂×#14556584	C₂²	semidirect
66. C₂×#14556584	C₂²	semidirect
67. C₂×#14556583	C₂²	semidirect
68. C₂×#14556581	C₂²	semidirect
69. C₂×#14556580	C₂²	semidirect
70. C₂×#14556577	C₂²	semidirect
71. C₂×#14556577	C₂²	semidirect
72. C₂×#14556576	C₂²	semidirect
73. C₂×#14556576	C₂²	semidirect
74. C₂×#14556576	C₂²	semidirect
75. C₂×#14556575	C₂²	semidirect
76. C₂×#14556574	C₂²	semidirect
77. C₂×#14556573	C₂²	semidirect
78. C₂×#14556573	C₂²	semidirect
79. C₂×#14556573	C₂²	semidirect
80. C₂×#14556573	C₂²	semidirect
81. C₂×#14556572	C₂²	semidirect
82. C₂×#14556572	C₂²	semidirect
83. C₂×#14556569	C₂²	semidirect
84. C₂×#14556567	C₂²	semidirect
85. C₂×#14556565	C₂²	semidirect
86. C₂×#14556565	C₂²	semidirect
87. C₂×#14556565	C₂²	semidirect
89. C₂×#14556564	C₂²	semidirect
90. C₂×#14556564	C₂²	semidirect
91. C₂×#14556564	C₂²	semidirect
92. C₂×#14556564	C₂²	semidirect
93. C₂×#14556564	C₂²	semidirect
94. C₂×#14556563	C₂²	semidirect
95. C₂×#14556563	C₂²	semidirect
96. C₂×#14556563	C₂²	semidirect
97. C₂×#14556563	C₂²	semidirect
98. C₂×#14556563	C₂²	semidirect
99. C₂×#14556563	C₂²	semidirect
100. C₂×#14556563	C₂²	semidirect
102. C₂×#14556562	C₂²	semidirect
103. C₂×#14556562	C₂²	semidirect
104. C₂×#14556562	C₂²	semidirect
105. C₂×#14556562	C₂²	semidirect
106. C₂×#14556562	C₂²	semidirect
107. C₂×#14556561	C₂²	semidirect
108. C₂×#14556561	C₂²	semidirect
109. C₂×#14556561	C₂²	semidirect
110. C₂×#14556560	C₂²	semidirect
111. C₂×#14556560	C₂²	semidirect
112. C₂×#14556559	C₂²	semidirect
113. C₂×#14556559	C₂²	semidirect
114. C₂×#14556559	C₂²	semidirect
115. C₂×#14556559	C₂²	semidirect
116. C₂×#14556559	C₂²	semidirect
117. C₂×Q₈×Dic₇₃	C₂²	semidirect
118. C₂×C₄×Dic₁₄₆	C₂²	semidirect
119. C₂×C₄×D₂₉₂	C₂²	semidirect
120. C₂×C₄×D₂₉₂	C₂²	semidirect
121. C₂×C₄×D₂₉₂	C₂²	semidirect
122. C₂×D₄×Dic₇₃	C₂²	semidirect
123. C₂×D₄×Dic₇₃	C₂²	semidirect
124. C₂×D₄×Dic₇₃	C₂²	semidirect
125. C₂×C₄×C₂²⋊D₇₃	C₂²	semidirect
126. C₂×C₄×C₂²⋊D₇₃	C₂²	semidirect
127. C₂×C₄×C₂²⋊D₇₃	C₂²	semidirect
128. C₂×#14556551	C₂²	semidirect
129. C₂×#14556551	C₂²	semidirect
130. C₂×#14556548	C₂²	semidirect
131. C₂×#14556547	C₂²	semidirect
132. C₂²×#11924005	C₂²	semidirect
133. C₂×C₂²⋊C₄×D₇₃	C₂²	semidirect
134. C₂×C₄²×D₇₃	C₂²	semidirect
135. C₂²×#41×C₇₃	C₂²	semidirect
136. C₂³×D₄×C₇₃	C₂²	semidirect
137. #535×C₇₃	C₂²	semidirect
138. C₂×#127×C₇₃	C₂²	semidirect
139. C₂×#127×C₇₃	C₂²	semidirect
140. C₂×#124×C₇₃	C₂²	semidirect
141. C₂×#124×C₇₃	C₂²	semidirect
142. C₂×#121×C₇₃	C₂²	semidirect
143. C₂×#121×C₇₃	C₂²	semidirect
144. C₂×#120×C₇₃	C₂²	semidirect
145. C₂×#120×C₇₃	C₂²	semidirect
146. C₂×#117×C₇₃	C₂²	semidirect
151. C₂×#11924029	C₂³	semidirect
153. C₂×#11924027	C₂³	semidirect
179. C₂²×C₂²⋊D₇₃	C₂³	semidirect
180. C₂²×C₂²⋊D₇₃	C₂³	semidirect
187. C₂×D₄×D₇₃	C₂³	semidirect
188. C₂×D₄×D₇₃	C₂³	semidirect
189. C₂×D₄×D₇₃	C₂³	semidirect
190. C₂×D₄×D₇₃	C₂³	semidirect
191. C₂×D₄×D₇₃	C₂³	semidirect
192. C₂×D₄×D₇₃	C₂³	semidirect
203. #14556588	C₂³	semidirect
205. #14556587	C₂³	semidirect
206. #14556587	C₂³	semidirect
207. #14556587	C₂³	semidirect
208. #14556587	C₂³	semidirect
209. #14556587	C₂³	semidirect
210. #14556586	C₂³	semidirect
211. #14556584	C₂³	semidirect
212. #14556584	C₂³	semidirect
213. #14556583	C₂³	semidirect
214. #14556581	C₂³	semidirect
215. #14556580	C₂³	semidirect
216. #14556577	C₂³	semidirect
217. #14556577	C₂³	semidirect
218. #14556576	C₂³	semidirect
219. #14556576	C₂³	semidirect
220. #14556576	C₂³	semidirect
221. #14556575	C₂³	semidirect
222. #14556574	C₂³	semidirect
223. #14556573	C₂³	semidirect
224. #14556573	C₂³	semidirect
225. #14556573	C₂³	semidirect
226. #14556573	C₂³	semidirect
227. #14556572	C₂³	semidirect
228. #14556572	C₂³	semidirect
229. #14556569	C₂³	semidirect
230. #14556567	C₂³	semidirect
231. #14556565	C₂³	semidirect
232. #14556565	C₂³	semidirect
233. #14556565	C₂³	semidirect
235. #14556564	C₂³	semidirect
236. #14556564	C₂³	semidirect
237. #14556564	C₂³	semidirect
238. #14556564	C₂³	semidirect
239. #14556564	C₂³	semidirect
240. #14556563	C₂³	semidirect
241. #14556563	C₂³	semidirect
242. #14556563	C₂³	semidirect
243. #14556563	C₂³	semidirect
244. #14556563	C₂³	semidirect
245. #14556563	C₂³	semidirect
246. #14556563	C₂³	semidirect
248. #14556562	C₂³	semidirect
249. #14556562	C₂³	semidirect
250. #14556562	C₂³	semidirect
251. #14556562	C₂³	semidirect
252. #14556562	C₂³	semidirect
253. #14556561	C₂³	semidirect
254. #14556561	C₂³	semidirect
255. #14556561	C₂³	semidirect
256. #14556560	C₂³	semidirect
257. #14556560	C₂³	semidirect
258. #14556559	C₂³	semidirect
259. #14556559	C₂³	semidirect
260. #14556559	C₂³	semidirect
261. #14556559	C₂³	semidirect
262. #14556559	C₂³	semidirect
263. Q₈×Dic₇₃	C₂³	semidirect
264. C₄×Dic₁₄₆	C₂³	semidirect
265. C₄×D₂₉₂	C₂³	semidirect
266. C₄×D₂₉₂	C₂³	semidirect
267. C₄×D₂₉₂	C₂³	semidirect
268. D₄×Dic₇₃	C₂³	semidirect
269. D₄×Dic₇₃	C₂³	semidirect
270. D₄×Dic₇₃	C₂³	semidirect
271. C₄×C₂²⋊D₇₃	C₂³	semidirect
272. C₄×C₂²⋊D₇₃	C₂³	semidirect
273. C₄×C₂²⋊D₇₃	C₂³	semidirect
274. #14556551	C₂³	semidirect
275. #14556551	C₂³	semidirect
276. #14556548	C₂³	semidirect
277. #14556547	C₂³	semidirect
313. C₂×#11924005	C₂³	semidirect
314. C₂²⋊C₄×D₇₃	C₂³	semidirect
320. C₄²×D₇₃	C₂³	semidirect
323. C₂×#41×C₇₃	C₂³	semidirect
335. C₂²×D₄×C₇₃	C₂³	semidirect
338. #127×C₇₃	C₂³	semidirect
339. #127×C₇₃	C₂³	semidirect
340. #124×C₇₃	C₂³	semidirect
341. #124×C₇₃	C₂³	semidirect
342. #121×C₇₃	C₂³	semidirect
343. #121×C₇₃	C₂³	semidirect
344. #120×C₇₃	C₂³	semidirect
345. #120×C₇₃	C₂³	semidirect
346. #117×C₇₃	C₂³	semidirect
732. C₂×C₇₃	#3543	semidirect
758. C₂×#535	D₇₃	semidirect
764. C₇₃	C₂×#3543	semidirect
767. C₂²×#41	C₂×D₇₃	semidirect
776. C₂³×D₄	C₂×D₇₃	semidirect
794. #535	C₂×D₇₃	semidirect
805. C₂×#127	C₂×D₇₃	semidirect
806. C₂×#127	C₂×D₇₃	semidirect
817. C₂×#124	C₂×D₇₃	semidirect
818. C₂×#124	C₂×D₇₃	semidirect
854. C₂×#121	C₂×D₇₃	semidirect
855. C₂×#121	C₂×D₇₃	semidirect
866. C₂×#120	C₂×D₇₃	semidirect
867. C₂×#120	C₂×D₇₃	semidirect
883. C₂×#117	C₂×D₇₃	semidirect
896. C₂×#41	C₂²×D₇₃	semidirect
947. C₂²×D₄	C₂²×D₇₃	semidirect
967. #127	C₂²×D₇₃	semidirect
968. #127	C₂²×D₇₃	semidirect
977. #124	C₂²×D₇₃	semidirect
978. #124	C₂²×D₇₃	semidirect
1014. #121	C₂²×D₇₃	semidirect
1015. #121	C₂²×D₇₃	semidirect
1026. #120	C₂²×D₇₃	semidirect
1027. #120	C₂²×D₇₃	semidirect
1043. #117	C₂²×D₇₃	semidirect
1475. C₂	#22624257	direct (N × H)

Maximal subgroups

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

subgroup	index
#22624257	2
C₂×#17989326	2
C₂×#17989325	2
C₂×#17989319	2
C₂×#17989257	2
C₂×#17989256	2
C₂×#17989230	2
C₂×#17989226	2
C₂×#17989225	2
C₂×#17989222	2
C₂×D₄×C₂²⋊D₇₃	2
C₂×#17989219	2
C₂×#17989192	2
C₂×#17989191	2
C₂×#17989187	2
C₂×#17989155	2
C₂×#17989152	2
C₂×#17989147	2
C₂×#17989145	2
C₂×#127×D₇₃	2
C₂×#17989116	2
C₂×#17989115	2
C₂×#535×C₇₃	2
C₂×#3543	73

Subgroups — C2×#22624257 #33993568

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#22624257 #33993568