Subgroups — C₂×#22623886 #33994070

Order 18688.

8006 conjugacy classes of subgroups.

The subgroup lattice has 1376 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#22623886	C₂	1	32	yes	maximal, direct product factor
2	C₂×#17989319	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#17989306	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#17989299	C₂	1	2	yes	maximal, complemented
5	C₂×#17989267	C₂	1	2	yes	maximal, complemented
6	C₂×#17989263	C₂	1	2	yes	maximal, complemented
7	C₂×Q₈×C₂²⋊D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#17989248	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#17989245	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#17989231	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#17989230	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#17989227	C₂	1	2	yes	maximal, complemented
13	C₂×D₄×C₂²⋊D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#17989201	C₂	1	2	yes	maximal, complemented
15	C₂×#17989175	C₂	1	2	yes	maximal, complemented
16	C₂×#17989171	C₂	1	2	yes	maximal, complemented
17	C₂×#17989136	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#17989121	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#17989116	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#17989116	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#124×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#17989060	C₂	1	2	yes	maximal, complemented
23	C₂×C₄×#11924028	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#124×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#11924029	C₂²	1	1	yes	characteristic, complemented
26	C₂²×#11924028	C₂²	1	1	yes	characteristic
27	C₂²×#11924027	C₂²	1	1	yes	characteristic, complemented
28	C₂²×Q₈×D₇₃	C₂²	1	1	yes	characteristic, complemented
29	C₂³×C₂²⋊D₇₃	C₂²	1	2	yes	—
30	C₂²×D₄×D₇₃	C₂²	1	1	yes	characteristic
31	#17989319	C₂²	1	16	yes	complemented
32	#17989306	C₂²	1	16	yes	complemented
33	#17989299	C₂²	1	32	yes	complemented
34	#17989267	C₂²	1	32	yes	complemented
35	#17989263	C₂²	1	32	yes	complemented
36	Q₈×C₂²⋊D₇₃	C₂²	1	16	yes	complemented
37	#17989248	C₂²	1	16	yes	complemented
38	#17989245	C₂²	1	16	yes	complemented
39	#17989231	C₂²	1	16	yes	complemented
40	#17989230	C₂²	1	16	yes	complemented
41	#17989227	C₂²	1	32	yes	complemented
42	D₄×C₂²⋊D₇₃	C₂²	1	16	yes	complemented
43	#17989201	C₂²	1	32	yes	complemented
44	#17989175	C₂²	1	32	yes	complemented
45	#17989171	C₂²	1	32	yes	complemented
46	#17989136	C₂²	1	16	yes	complemented
47	C₂×#14556589	C₂²	1	2	yes	complemented
48	C₂×#14556589	C₂²	1	1	yes	characteristic, complemented
49	C₂×#14556587	C₂²	1	1	yes	characteristic
50	#17989121	C₂²	1	16	yes	complemented
51	#17989116	C₂²	1	16	yes	complemented
52	#17989116	C₂²	1	16	yes	complemented
53	C₂×#14556585	C₂²	1	2	yes	complemented
54	C₂×#14556584	C₂²	1	2	yes	complemented
55	C₂×#14556584	C₂²	1	2	yes	complemented
56	C₂×#14556584	C₂²	1	2	yes	complemented
57	C₂×#14556584	C₂²	1	2	yes	complemented
58	C₂×#14556583	C₂²	1	1	yes	characteristic, complemented
59	C₂×#14556580	C₂²	1	1	yes	characteristic, complemented
60	C₂×#14556580	C₂²	1	2	yes	complemented
61	C₂×#14556579	C₂²	1	1	yes	characteristic, complemented
62	C₂×#14556578	C₂²	1	1	yes	characteristic
63	C₂×#14556577	C₂²	1	2	yes	complemented
64	C₂×#14556577	C₂²	1	2	yes	complemented
65	C₂×#14556577	C₂²	1	2	yes	complemented
66	C₂×#14556577	C₂²	1	2	yes	complemented
67	#124×D₇₃	C₂²	1	16	yes	complemented
68	C₂×#14556575	C₂²	1	2	yes	complemented
69	C₂×#14556574	C₂²	1	2	yes	complemented
70	C₂×#14556573	C₂²	1	2	yes	complemented
71	C₂×#14556573	C₂²	1	2	yes	complemented
72	C₂×#14556573	C₂²	1	2	yes	complemented
73	C₂×#14556573	C₂²	1	2	yes	complemented
74	C₂×#14556572	C₂²	1	2	yes	complemented
75	C₂×#14556570	C₂²	1	2	yes	complemented
76	C₂×#14556570	C₂²	1	1	yes	characteristic, complemented
77	C₂×#14556568	C₂²	1	2	yes	complemented
78	C₂×#14556568	C₂²	1	2	yes	complemented
79	C₂×#14556567	C₂²	1	2	yes	complemented
80	C₂×#14556567	C₂²	1	2	yes	complemented
81	C₂×#14556567	C₂²	1	1	yes	characteristic, complemented
82	C₂×#14556567	C₂²	1	1	yes	characteristic, complemented
83	C₂×#14556565	C₂²	1	1	yes	characteristic
84	C₂×#14556565	C₂²	1	2	yes	complemented
85	C₂×#14556564	C₂²	1	2	yes	complemented
86	C₂×#14556564	C₂²	1	2	yes	complemented
87	C₂×#14556564	C₂²	1	2	yes	complemented
88	C₂×#14556564	C₂²	1	2	yes	complemented
89	C₂×#14556563	C₂²	1	2	yes	—
90	C₂×#14556563	C₂²	1	2	yes	complemented
91	C₂×#14556562	C₂²	1	1	yes	characteristic
92	C₂×#14556562	C₂²	1	1	yes	characteristic
93	C₂×#14556561	C₂²	1	2	yes	complemented
94	C₂×#14556560	C₂²	1	2	yes	—
95	C₂×#14556560	C₂²	1	2	yes	complemented
96	C₂×#14556559	C₂²	1	2	yes	—
97	#17989060	C₂²	1	32	yes	complemented
98	C₄×#11924028	C₂²	1	16	yes	complemented
99	C₂×Q₈×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
100	C₂×Q₈×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
101	C₂×C₄×Dic₁₄₆	C₂²	1	1	yes	characteristic, complemented
102	C₂×C₄×Dic₁₄₆	C₂²	1	1	yes	characteristic, complemented
103	C₂×C₄×Dic₁₄₆	C₂²	1	1	yes	characteristic, complemented
104	C₂×C₄×D₂₉₂	C₂²	1	1	yes	characteristic, complemented
105	C₂×C₄×D₂₉₂	C₂²	1	1	yes	characteristic, complemented
106	C₂×C₄×D₂₉₂	C₂²	1	1	yes	characteristic, complemented
107	C₂×D₄×Dic₇₃	C₂²	1	1	yes	characteristic
108	C₂×D₄×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
109	C₂×C₄×C₂²⋊D₇₃	C₂²	1	1	yes	characteristic
110	C₂×C₄×C₂²⋊D₇₃	C₂²	1	1	yes	characteristic
111	C₂×C₄×C₂²⋊D₇₃	C₂²	1	2	yes	—
112	C₂×C₄×C₂²⋊D₇₃	C₂²	1	1	yes	characteristic, complemented
113	C₂×C₄×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
114	C₂×C₄×C₂²⋊D₇₃	C₂²	1	1	yes	characteristic, complemented
115	C₂×C₄×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
116	C₂×#14556551	C₂²	1	2	yes	complemented
117	C₂×#14556551	C₂²	1	2	yes	complemented
118	C₂×#14556551	C₂²	1	2	yes	complemented
119	C₂×#14556551	C₂²	1	2	yes	complemented
120	C₂×#14556551	C₂²	1	2	yes	complemented
121	C₂×#14556551	C₂²	1	2	yes	complemented
122	C₂×#14556550	C₂²	1	1	yes	characteristic, complemented
123	C₂×#14556548	C₂²	1	1	yes	characteristic, complemented
124	C₂×#14556548	C₂²	1	1	yes	characteristic, complemented
125	C₂×#14556548	C₂²	1	2	yes	complemented
126	C₂×#14556547	C₂²	1	2	yes	complemented
127	C₂×#14556547	C₂²	1	2	yes	complemented
128	C₂×#14556547	C₂²	1	2	yes	complemented
129	C₂²×C₂²⋊Dic₇₃	C₂²	1	2	yes	complemented
130	C₂×C₂²⋊C₄×D₇₃	C₂²	1	2	yes	complemented
131	C₂×C₂²⋊C₄×D₇₃	C₂²	1	2	yes	complemented
132	C₂×C₂²⋊C₄×D₇₃	C₂²	1	2	yes	complemented
133	C₂×C₄²×D₇₃	C₂²	1	1	yes	characteristic, complemented
134	C₂×C₄²×D₇₃	C₂²	1	1	yes	characteristic, complemented
135	C₂³×Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
136	C₂³×D₄×C₇₃	C₂²	1	1	yes	characteristic
137	C₂×#124×C₇₃	C₂²	1	1	yes	characteristic
138	C₂×#124×C₇₃	C₂²	1	1	yes	characteristic
139	C₂×#124×C₇₃	C₂²	1	1	yes	characteristic, complemented
140	C₂×#124×C₇₃	C₂²	1	2	yes	complemented
141	C₂×#124×C₇₃	C₂²	1	2	yes	complemented
142	C₂×#124×C₇₃	C₂²	1	1	yes	characteristic, complemented
143	C₂×#124×C₇₃	C₂²	1	16	yes	complemented
144	C₂²×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	complemented
145	C₂²×C₂²⋊C₄×C₇₃	C₂²	1	2	yes	complemented
146	C₂²×C₄²×C₇₃	C₂²	1	1	yes	characteristic, complemented
147	C₂⁴×D₇₃	C₂³	1	2	yes	—
148	C₂×#11924029	—	4	4	no	—
149	C₂×#11924029	C₂³	1	8	yes	complemented
150	C₂×#11924028	—	2	8	no	—
151	C₂×#11924028	C₂³	1	8	yes	—
152	C₂×#11924027	—	4	4	no	—
153	C₂×#11924027	C₂³	1	8	yes	complemented
154	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
155	C₂²×Dic₁₄₆	C₂³	1	1	yes	characteristic
156	C₂²×Dic₁₄₆	C₂³	1	2	yes	—
157	C₂×Q₈×D₇₃	—	4	4	no	—
158	C₂×Q₈×D₇₃	C₂³	1	8	yes	complemented
159	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
160	C₂²×D₂₉₂	C₂³	1	1	yes	characteristic
161	C₂²×D₂₉₂	C₂³	1	2	yes	—
162	C₂²×C₂²⋊D₇₃	—	2	16	no	—
163	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
164	C₂²×C₂²⋊D₇₃	C₂³	1	16	yes	—
165	C₂²×C₂²⋊D₇₃	C₂³	1	2	yes	—
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	1	yes	characteristic
173	C₂×D₄×D₇₃	—	4	4	no	—
174	C₂×D₄×D₇₃	C₂³	1	8	yes	—
175	C₂³×Dic₇₃	C₂³	1	2	yes	—
176	C₂³×Dic₇₃	C₂³	1	2	yes	—
177	C₂³×Dic₇₃	C₂³	1	2	yes	—
178	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
179	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
180	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
181	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
182	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
183	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
184	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
185	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
186	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
187	#14556589	C₂³	1	8	yes	complemented
188	#14556589	C₂³	1	16	yes	complemented
189	#14556587	C₂³	1	8	yes	—
190	#14556585	C₂³	1	16	yes	complemented
191	#14556584	C₂³	1	16	yes	complemented
192	#14556584	C₂³	1	16	yes	complemented
193	#14556584	C₂³	1	16	yes	complemented
194	#14556584	C₂³	1	16	yes	complemented
195	#14556583	C₂³	1	8	yes	complemented
196	#14556580	C₂³	1	16	yes	complemented
197	#14556580	C₂³	1	8	yes	complemented
198	#14556579	C₂³	1	8	yes	complemented
199	#14556578	C₂³	1	8	yes	—
200	#14556577	C₂³	1	16	yes	complemented
201	#14556577	C₂³	1	16	yes	complemented
202	#14556577	C₂³	1	16	yes	complemented
203	#14556577	C₂³	1	16	yes	complemented
204	#14556575	C₂³	1	16	yes	complemented
205	#14556574	C₂³	1	16	yes	complemented
206	#14556573	C₂³	1	16	yes	complemented
207	#14556573	C₂³	1	16	yes	complemented
208	#14556573	C₂³	1	16	yes	complemented
209	#14556573	C₂³	1	16	yes	complemented
210	#14556572	C₂³	1	16	yes	complemented
211	#14556570	C₂³	1	8	yes	complemented
212	#14556570	C₂³	1	16	yes	complemented
213	#14556568	C₂³	1	16	yes	complemented
214	#14556568	C₂³	1	16	yes	complemented
215	#14556567	C₂³	1	16	yes	complemented
216	#14556567	C₂³	1	16	yes	complemented
217	#14556567	C₂³	1	8	yes	complemented
218	#14556567	C₂³	1	8	yes	complemented
219	#14556565	C₂³	1	8	yes	—
220	#14556565	C₂³	1	16	yes	complemented
221	#14556564	C₂³	1	16	yes	complemented
222	#14556564	C₂³	1	16	yes	complemented
223	#14556564	C₂³	1	16	yes	complemented
224	#14556564	C₂³	1	16	yes	complemented
225	#14556563	C₂³	1	16	yes	—
226	#14556563	C₂³	1	16	yes	complemented
227	#14556562	C₂³	1	8	yes	—
228	#14556562	C₂³	1	8	yes	—
229	#14556561	C₂³	1	16	yes	complemented
230	#14556560	C₂³	1	16	yes	—
231	#14556560	C₂³	1	16	yes	complemented
232	#14556559	C₂³	1	16	yes	—
233	Q₈×Dic₇₃	C₂³	1	8	yes	complemented
234	Q₈×Dic₇₃	C₂³	1	8	yes	complemented
235	C₄×Dic₁₄₆	C₂³	1	8	yes	complemented
236	C₄×Dic₁₄₆	C₂³	1	8	yes	complemented
237	C₄×Dic₁₄₆	C₂³	1	8	yes	complemented
238	C₄×D₂₉₂	C₂³	1	8	yes	complemented
239	C₄×D₂₉₂	C₂³	1	8	yes	complemented
240	C₄×D₂₉₂	C₂³	1	8	yes	complemented
241	D₄×Dic₇₃	C₂³	1	8	yes	—
242	D₄×Dic₇₃	C₂³	1	8	yes	complemented
243	C₄×C₂²⋊D₇₃	C₂³	1	8	yes	—
244	C₄×C₂²⋊D₇₃	C₂³	1	16	yes	—
245	C₄×C₂²⋊D₇₃	C₂³	1	8	yes	—
246	C₄×C₂²⋊D₇₃	C₂³	1	16	yes	complemented
247	C₄×C₂²⋊D₇₃	C₂³	1	8	yes	complemented
248	C₄×C₂²⋊D₇₃	C₂³	1	8	yes	complemented
249	C₄×C₂²⋊D₇₃	C₂³	1	16	yes	complemented
250	#14556551	C₂³	1	16	yes	complemented
251	#14556551	C₂³	1	16	yes	complemented
252	#14556551	C₂³	1	16	yes	complemented
253	#14556551	C₂³	1	16	yes	complemented
254	#14556551	C₂³	1	16	yes	complemented
255	#14556551	C₂³	1	16	yes	complemented
256	#14556550	C₂³	1	8	yes	complemented
257	#14556548	C₂³	1	16	yes	complemented
258	#14556548	C₂³	1	8	yes	complemented
259	#14556548	C₂³	1	8	yes	complemented
260	#14556547	C₂³	1	16	yes	complemented
261	#14556547	C₂³	1	16	yes	complemented
262	#14556547	C₂³	1	16	yes	complemented
263	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
264	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
265	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
266	C₂×C₄⋊Dic₇₃	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
268	C₂×C₄⋊Dic₇₃	C₂³	1	2	yes	—
269	C₂×#11924007	C₂³	1	2	yes	—
270	C₂×#11924007	C₂³	1	1	yes	characteristic
271	C₂×#11924007	C₂³	1	2	yes	—
272	C₂×#11924007	C₂³	1	2	yes	—
273	C₂×#11924007	C₂³	1	2	yes	—
274	C₂×#11924007	C₂³	1	1	yes	characteristic
275	C₂×#11924007	C₂³	1	2	yes	—
276	C₂×#11924007	C₂³	1	2	yes	—
277	C₂×#11924007	C₂³	1	2	yes	—
278	C₂×#11924007	C₂³	1	1	yes	characteristic
279	C₂×#11924007	C₂³	1	1	yes	characteristic
280	C₂×#11924007	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	1	yes	characteristic
285	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
286	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
287	C₂×C₂²⋊Dic₇₃	C₂³	1	1	yes	characteristic
288	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
289	C₂×C₂²⋊Dic₇₃	C₂³	1	2	yes	—
290	C₂×C₂²⋊Dic₇₃	C₂³	1	16	yes	complemented
291	C₂×#11924005	C₂³	1	1	yes	characteristic
292	C₂×#11924005	C₂³	1	2	yes	—
293	C₂×#11924005	C₂³	1	2	yes	—
294	C₂×#11924005	C₂³	1	2	yes	—
295	C₂×#11924005	C₂³	1	2	yes	—
296	C₂×#11924005	C₂³	1	2	yes	—
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	2	yes	—
301	C₂×#11924005	C₂³	1	2	yes	—
302	C₂×#11924005	C₂³	1	2	yes	—
303	C₂²⋊C₄×D₇₃	C₂³	1	16	yes	complemented
304	C₂²⋊C₄×D₇₃	C₂³	1	16	yes	complemented
305	C₂²⋊C₄×D₇₃	C₂³	1	16	yes	complemented
306	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
307	C₂×C₄×Dic₇₃	C₂³	1	2	yes	—
308	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
309	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
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	C₄²×D₇₃	C₂³	1	8	yes	complemented
316	C₄²×D₇₃	C₂³	1	8	yes	complemented
317	C₂⁵×C₇₃	C₂³	1	2	yes	—
318	C₂²×Q₈×C₇₃	—	4	4	no	—
319	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
320	C₂²×Q₈×C₇₃	C₂³	1	1	yes	characteristic
321	C₂²×Q₈×C₇₃	C₂³	1	2	yes	—
322	C₂²×Q₈×C₇₃	C₂³	1	8	yes	complemented
323	C₂²×D₄×C₇₃	—	4	4	no	—
324	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
325	C₂²×D₄×C₇₃	C₂³	1	1	yes	characteristic
326	C₂²×D₄×C₇₃	C₂³	1	8	yes	—
327	C₂²×D₄×C₇₃	C₂³	1	2	yes	—
328	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
329	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
330	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
331	C₂³×C₄×C₇₃	C₂³	1	2	yes	—
332	#124×C₇₃	C₂³	1	8	yes	—
333	#124×C₇₃	C₂³	1	8	yes	—
334	#124×C₇₃	C₂³	1	8	yes	complemented
335	#124×C₇₃	C₂³	1	16	yes	complemented
336	#124×C₇₃	C₂³	1	8	yes	complemented
337	#124×C₇₃	C₂³	1	16	yes	complemented
338	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
339	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
340	C₂×C₂²⋊C₄×C₇₃	C₂³	1	2	yes	—
341	C₂×C₂²⋊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×C₂²⋊C₄×C₇₃	C₂³	1	16	yes	complemented
347	C₂×C₂²⋊C₄×C₇₃	C₂³	1	16	yes	complemented
348	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
349	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
350	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
351	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
352	C₂×C₄²×C₇₃	C₂³	1	8	yes	complemented
353	C₂³×D₇₃	—	2	8	no	—
354	C₂³×D₇₃	—	4	4	no	—
355	C₂³×D₇₃	—	4	4	no	—
356	C₂³×D₇₃	C₂⁴	1	2	yes	—
357	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
358	C₂³×D₇₃	C₂⁴	1	1	yes	characteristic
359	C₂³×D₇₃	C₂⁴	1	8	yes	—
360	#11924029	—	4	16	no	—
361	#11924028	—	2	32	no	—
362	#11924027	—	4	16	no	—
363	C₂×Dic₁₄₆	—	2	4	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	4	yes	—
368	C₂×Dic₁₄₆	C₂⁴	1	8	yes	—
369	Q₈×D₇₃	—	4	16	no	—
370	C₂×D₂₉₂	—	2	4	no	—
371	C₂×D₂₉₂	—	2	4	no	—
372	C₂×D₂₉₂	—	4	4	no	—
373	C₂×D₂₉₂	C₂⁴	1	4	yes	—
374	C₂×D₂₉₂	C₂⁴	1	4	yes	—
375	C₂×D₂₉₂	C₂⁴	1	8	yes	—
376	C₂×C₂²⋊D₇₃	—	2	8	no	—
377	C₂×C₂²⋊D₇₃	—	2	4	no	—
378	C₂×C₂²⋊D₇₃	—	2	8	no	—
379	C₂×C₂²⋊D₇₃	—	2	64	no	—
380	C₂×C₂²⋊D₇₃	—	2	8	no	—
381	C₂×C₂²⋊D₇₃	—	4	4	no	—
382	C₂×C₂²⋊D₇₃	—	4	4	no	—
383	C₂×C₂²⋊D₇₃	—	4	4	no	—
384	C₂×C₂²⋊D₇₃	—	4	4	no	—
385	C₂×C₂²⋊D₇₃	#41	1	8	yes	complemented
386	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
387	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
388	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
389	C₂×C₂²⋊D₇₃	C₂⁴	1	4	yes	—
390	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
391	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
392	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
393	C₂×C₂²⋊D₇₃	C₂⁴	1	8	yes	—
394	C₂×C₂²⋊D₇₃	C₂⁴	1	4	yes	—
395	D₄×D₇₃	—	4	16	no	—
396	C₂²×Dic₇₃	—	2	8	no	—
397	C₂²×Dic₇₃	—	4	4	no	—
398	C₂²×Dic₇₃	—	4	4	no	—
399	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
400	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
401	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
402	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
403	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
404	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
405	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
406	C₂²×Dic₇₃	C₂⁴	1	2	yes	—
407	C₂²×Dic₇₃	C₂⁴	1	8	yes	—
408	C₂²×Dic₇₃	C₂⁴	1	8	yes	—
409	C₂²×Dic₇₃	C₂⁴	1	8	yes	—
410	C₂²×Dic₇₃	C₂⁴	1	1	yes	characteristic
411	C₂×C₄×D₇₃	—	2	4	no	—
412	C₂×C₄×D₇₃	—	2	4	no	—
413	C₂×C₄×D₇₃	—	2	4	no	—
414	C₂×C₄×D₇₃	—	2	4	no	—
415	C₂×C₄×D₇₃	—	4	2	no	—
416	C₂×C₄×D₇₃	—	4	4	no	—
417	C₂×C₄×D₇₃	—	4	2	no	—
418	C₂×C₄×D₇₃	—	4	4	no	—
419	C₂×C₄×D₇₃	—	4	4	no	—
420	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
421	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
422	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
423	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
424	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
425	C₂×C₄×D₇₃	C₂⁴	1	4	yes	—
426	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
427	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
428	C₂×C₄×D₇₃	C₂⁴	1	8	yes	—
429	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
430	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
431	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
432	C₄⋊Dic₇₃	C₂⁴	1	4	yes	—
433	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
434	C₄⋊Dic₇₃	C₂⁴	1	8	yes	—
435	#11924007	C₂⁴	1	4	yes	—
436	#11924007	C₂⁴	1	8	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	4	yes	—
442	#11924007	C₂⁴	1	4	yes	—
443	#11924007	C₂⁴	1	4	yes	—
444	#11924007	C₂⁴	1	8	yes	—
445	#11924007	C₂⁴	1	8	yes	—
446	#11924007	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	4	yes	—
451	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
452	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
453	C₂²⋊Dic₇₃	C₂⁴	1	4	yes	—
454	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
455	C₂²⋊Dic₇₃	C₂⁴	1	8	yes	—
456	#11924005	C₂⁴	1	4	yes	—
457	#11924005	C₂⁴	1	8	yes	—
458	#11924005	C₂⁴	1	8	yes	—
459	#11924005	C₂⁴	1	8	yes	—
460	#11924005	C₂⁴	1	8	yes	—
461	#11924005	C₂⁴	1	8	yes	—
462	#11924005	C₂⁴	1	4	yes	—
463	#11924005	C₂⁴	1	4	yes	—
464	#11924005	C₂⁴	1	4	yes	—
465	#11924005	C₂⁴	1	8	yes	—
466	#11924005	C₂⁴	1	8	yes	—
467	#11924005	C₂⁴	1	8	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	4	yes	—
472	C₄×Dic₇₃	C₂⁴	1	4	yes	—
473	C₄×Dic₇₃	C₂⁴	1	4	yes	—
474	C₄×Dic₇₃	C₂⁴	1	8	yes	—
475	C₄×Dic₇₃	C₂⁴	1	8	yes	—
476	C₄×Dic₇₃	C₂⁴	1	8	yes	—
477	C₂⁴×C₇₃	—	2	8	no	—
478	C₂⁴×C₇₃	—	4	4	no	—
479	C₂⁴×C₇₃	—	4	4	no	—
480	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
481	C₂⁴×C₇₃	C₂⁴	1	2	yes	—
482	C₂⁴×C₇₃	C₂⁴	1	1	yes	characteristic
483	C₂⁴×C₇₃	C₂⁴	1	8	yes	—
484	C₂×Q₈×C₇₃	—	2	4	no	—
485	C₂×Q₈×C₇₃	—	2	4	no	—
486	C₂×Q₈×C₇₃	—	4	4	no	—
487	C₂×Q₈×C₇₃	—	4	16	no	—
488	C₂×Q₈×C₇₃	C₂⁴	1	4	yes	—
489	C₂×Q₈×C₇₃	C₂⁴	1	4	yes	—
490	C₂×Q₈×C₇₃	C₂⁴	1	8	yes	—
491	C₂×D₄×C₇₃	—	2	4	no	—
492	C₂×D₄×C₇₃	—	2	4	no	—
493	C₂×D₄×C₇₃	—	4	16	no	—
494	C₂×D₄×C₇₃	—	4	4	no	—
495	C₂×D₄×C₇₃	C₂⁴	1	4	yes	—
496	C₂×D₄×C₇₃	C₂⁴	1	4	yes	—
497	C₂×D₄×C₇₃	C₂⁴	1	8	yes	—
498	C₂²×C₄×C₇₃	—	2	4	no	—
499	C₂²×C₄×C₇₃	—	2	4	no	—
500	C₂²×C₄×C₇₃	—	4	2	no	—
501	C₂²×C₄×C₇₃	—	4	4	no	—
502	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
503	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
504	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
505	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
506	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
507	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
508	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
509	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
510	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
511	C₂²×C₄×C₇₃	C₂⁴	1	4	yes	—
512	C₂²×C₄×C₇₃	C₂⁴	1	8	yes	—
513	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
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	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
518	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
519	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
520	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
521	C₂²⋊C₄×C₇₃	C₂⁴	1	8	yes	—
522	C₄²×C₇₃	C₂⁴	1	4	yes	—
523	C₄²×C₇₃	C₂⁴	1	4	yes	—
524	C₄²×C₇₃	C₂⁴	1	4	yes	—
525	C₄²×C₇₃	C₂⁴	1	4	yes	—
526	C₂³×C₇₃	—	2	2	no	—
527	C₂³×C₇₃	—	2	2	no	—
528	C₂³×C₇₃	—	2	4	no	—
529	C₂³×C₇₃	—	2	4	no	—
530	C₂³×C₇₃	—	2	4	no	—
531	C₂³×C₇₃	—	2	4	no	—
532	C₂³×C₇₃	—	2	4	no	—
533	C₂³×C₇₃	—	2	4	no	—
534	C₂³×C₇₃	—	2	16	no	—
535	C₂³×C₇₃	—	4	8	no	—
536	C₂³×C₇₃	—	4	8	no	—
537	C₂³×C₇₃	—	8	16	no	—
538	C₂³×C₇₃	C₂×#41	1	4	yes	—
539	C₂³×C₇₃	C₂⁵	1	4	yes	—
540	C₂³×C₇₃	C₂⁵	1	4	yes	—
541	C₂³×C₇₃	C₂⁵	1	2	yes	—
542	C₂³×C₇₃	C₂⁵	1	1	yes	characteristic
543	C₂²×D₇₃	—	2	2	no	—
544	C₂²×D₇₃	—	2	2	no	—
545	C₂²×D₇₃	—	2	2	no	—
546	C₂²×D₇₃	—	2	4	no	—
547	C₂²×D₇₃	—	2	2	no	—
548	C₂²×D₇₃	—	2	4	no	—
549	C₂²×D₇₃	—	2	2	no	—
550	C₂²×D₇₃	—	2	4	no	—
551	C₂²×D₇₃	—	2	16	no	—
552	C₂²×D₇₃	—	4	8	no	—
553	C₂²×D₇₃	—	4	8	no	—
554	C₂²×D₇₃	—	8	16	no	—
555	C₂²×D₇₃	C₂×#41	1	4	yes	—
556	C₂²×D₇₃	C₂⁵	1	4	yes	—
557	C₂²×D₇₃	C₂⁵	1	2	yes	—
558	C₂²×D₇₃	C₂⁵	1	2	yes	—
559	Q₈×C₇₃	—	2	8	no	—
560	Q₈×C₇₃	—	2	8	no	—
561	Q₈×C₇₃	—	4	8	no	—
562	D₄×C₇₃	—	2	8	no	—
563	D₄×C₇₃	—	2	8	no	—
564	D₄×C₇₃	—	4	8	no	—
565	C₂×C₄×C₇₃	—	2	2	no	—
566	C₂×C₄×C₇₃	—	2	2	no	—
567	C₂×C₄×C₇₃	—	2	8	no	—
568	C₂×C₄×C₇₃	—	2	2	no	—
569	C₂×C₄×C₇₃	—	2	4	no	—
570	C₂×C₄×C₇₃	—	2	4	no	—
571	C₂×C₄×C₇₃	—	2	2	no	—
572	C₂×C₄×C₇₃	—	2	2	no	—
573	C₂×C₄×C₇₃	—	2	8	no	—
574	C₂×C₄×C₇₃	—	4	4	no	—
575	C₂×C₄×C₇₃	—	4	8	no	—
576	C₂×C₄×C₇₃	H(5,𝔽₂)	1	4	yes	—
577	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
578	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
579	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
580	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
581	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
582	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
583	C₂×C₄×C₇₃	C₂⁵	1	4	yes	—
584	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
585	C₂²⋊D₇₃	—	2	16	no	—
586	C₂²⋊D₇₃	—	2	8	no	—
587	C₂²⋊D₇₃	—	2	16	no	—
588	C₂²⋊D₇₃	—	2	16	no	—
589	C₂²⋊D₇₃	—	4	8	no	—
590	C₂²⋊D₇₃	—	4	8	no	—
591	C₂²⋊D₇₃	—	4	8	no	—
592	C₂²⋊D₇₃	—	4	8	no	—
593	C₂²⋊D₇₃	C₂×#41	1	16	yes	complemented
594	C₂×Dic₇₃	—	2	2	no	—
595	C₂×Dic₇₃	—	2	4	no	—
596	C₂×Dic₇₃	—	2	2	no	—
597	C₂×Dic₇₃	—	2	2	no	—
598	C₂×Dic₇₃	—	2	4	no	—
599	C₂×Dic₇₃	—	2	2	no	—
600	C₂×Dic₇₃	—	2	4	no	—
601	C₂×Dic₇₃	—	2	2	no	—
602	C₂×Dic₇₃	—	2	16	no	—
603	C₂×Dic₇₃	—	4	8	no	—
604	C₂×Dic₇₃	—	4	8	no	—
605	C₂×Dic₇₃	C₂×#41	1	4	yes	—
606	C₂×Dic₇₃	C₂⁵	1	2	yes	—
607	C₂×Dic₇₃	C₂⁵	1	2	yes	—
608	C₂×Dic₇₃	C₂⁵	1	4	yes	—
609	C₂×Dic₇₃	C₂⁵	1	2	yes	—
610	C₂×Dic₇₃	C₂⁵	1	2	yes	—
611	C₂×Dic₇₃	C₂⁵	1	2	yes	—
612	C₂×Dic₇₃	C₂⁵	1	4	yes	—
613	C₂×Dic₇₃	C₂⁵	1	4	yes	—
614	C₂×Dic₇₃	C₂⁵	1	2	yes	—
615	D₂₉₂	—	2	8	no	—
616	D₂₉₂	—	2	8	no	—
617	D₂₉₂	—	4	8	no	—
618	C₄×D₇₃	—	2	8	no	—
619	C₄×D₇₃	—	2	8	no	—
620	C₄×D₇₃	—	2	8	no	—
621	C₄×D₇₃	—	2	8	no	—
622	C₄×D₇₃	—	4	4	no	—
623	C₄×D₇₃	—	4	8	no	—
624	C₄×D₇₃	—	4	4	no	—
625	C₄×D₇₃	—	4	8	no	—
626	C₄×D₇₃	—	4	8	no	—
627	Dic₁₄₆	—	2	8	no	—
628	Dic₁₄₆	—	2	8	no	—
629	Dic₁₄₆	—	4	8	no	—
630	C₂²×C₇₃	—	2	2	no	—
631	C₂²×C₇₃	—	2	2	no	—
632	C₂²×C₇₃	—	2	8	no	—
633	C₂²×C₇₃	—	2	4	no	—
634	C₂²×C₇₃	—	2	4	no	—
635	C₂²×C₇₃	—	2	4	no	—
636	C₂²×C₇₃	—	2	4	no	—
637	C₂²×C₇₃	—	2	4	no	—
638	C₂²×C₇₃	—	2	4	no	—
639	C₂²×C₇₃	—	4	8	no	—
640	C₂²×C₇₃	—	4	8	no	—
641	C₂²×C₇₃	—	8	16	no	—
642	C₂²×C₇₃	C₂²×#41	1	4	yes	—
643	C₂²×C₇₃	C₂²×#41	1	2	yes	—
644	C₂²×C₇₃	C₂×H(5,𝔽₂)	1	2	yes	—
645	C₂²×C₇₃	#585	1	2	yes	—
646	C₂²×C₇₃	C₂⁶	1	1	yes	characteristic
647	C₂×D₇₃	—	2	2	no	—
648	C₂×D₇₃	—	2	2	no	—
649	C₂×D₇₃	—	2	8	no	—
650	C₂×D₇₃	—	2	2	no	—
651	C₂×D₇₃	—	2	4	no	—
652	C₂×D₇₃	—	2	2	no	—
653	C₂×D₇₃	—	2	4	no	—
654	C₂×D₇₃	—	2	2	no	—
655	C₂×D₇₃	—	2	4	no	—
656	C₂×D₇₃	—	4	4	no	—
657	C₂×D₇₃	—	4	8	no	—
658	C₂×D₇₃	—	8	16	no	—
659	C₂×D₇₃	C₂²×#41	1	4	yes	—
660	C₄×C₇₃	—	2	2	no	—
661	C₄×C₇₃	—	2	2	no	—
662	C₄×C₇₃	—	2	4	no	—
663	C₄×C₇₃	—	2	4	no	—
664	C₄×C₇₃	—	2	2	no	—
665	C₄×C₇₃	—	2	2	no	—
666	C₄×C₇₃	—	2	2	no	—
667	C₄×C₇₃	C₂×H(5,𝔽₂)	1	4	yes	—
668	Dic₇₃	—	2	2	no	—
669	Dic₇₃	—	2	4	no	—
670	Dic₇₃	—	2	4	no	—
671	Dic₇₃	—	2	2	no	—
672	Dic₇₃	—	2	2	no	—
673	Dic₇₃	—	2	2	no	—
674	Dic₇₃	—	2	4	no	—
675	Dic₇₃	—	2	2	no	—
676	Dic₇₃	C₂²×#41	1	4	yes	—
677	C₂×#3514	—	73	1	no	maximal, Sylow
678	C₂×C₇₃	—	2	4	no	—
679	C₂×C₇₃	—	4	4	no	—
680	C₂×C₇₃	—	4	4	no	—
681	C₂×C₇₃	#3514	1	4	yes	complemented
682	C₂×C₇₃	C₂³×#41	1	1	yes	characteristic
683	C₂×C₇₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
684	C₂×C₇₃	C₂×#585	1	1	yes	characteristic
685	D₇₃	—	2	4	no	—
686	D₇₃	—	4	2	no	—
687	D₇₃	—	4	4	no	—
688	#3514	—	73	32	no	—
689	C₂×#559	—	73	1	no	—
690	C₂×#556	—	73	1	no	—
691	C₂×#555	—	73	2	no	—
692	C₂×#551	—	73	2	no	—
693	C₂×#551	—	73	2	no	—
694	C₂×D₄×Q₈	—	73	1	no	—
695	C₂×#548	—	73	1	no	—
696	C₂×#548	—	73	1	no	—
697	C₂×#546	—	73	1	no	—
698	C₂×#546	—	73	1	no	—
699	C₂×#546	—	73	2	no	—
700	C₂×D₄²	—	73	1	no	—
701	C₂×#542	—	73	2	no	—
702	C₂×#538	—	73	2	no	—
703	C₂×#538	—	73	2	no	—
704	C₂×#532	—	73	1	no	—
705	C₂×#529	—	73	1	no	—
706	C₂×#529	—	73	1	no	—
707	C₂×#529	—	73	1	no	—
708	C₂²×#124	—	73	1	no	—
709	C₂²×#124	D₇₃	1	1	yes	characteristic, complemented
710	C₂×#518	—	73	2	no	—
711	C₂×C₄×#41	—	73	1	no	—
712	C₇₃	C₂×#3514	1	1	yes	characteristic, complemented, Sylow
713	C₂²×#41	—	73	1	no	—
714	C₂²×#41	—	73	1	no	—
715	C₂²×#41	—	73	1	no	—
716	C₂³×Q₈	—	73	1	no	—
717	C₂³×Q₈	C₂×D₇₃	1	1	yes	characteristic, complemented
718	C₂³×D₄	—	73	1	no	—
719	C₂³×D₄	—	73	2	no	—
720	C₂³×D₄	C₂×D₇₃	1	1	yes	characteristic
721	#559	—	73	16	no	—
722	#556	—	73	16	no	—
723	#555	—	73	32	no	—
724	#551	—	73	32	no	—
725	#551	—	73	32	no	—
726	D₄×Q₈	—	73	16	no	—
727	#548	—	73	16	no	—
728	#548	—	73	16	no	—
729	#546	—	73	16	no	—
730	#546	—	73	16	no	—
731	#546	—	73	32	no	—
732	D₄²	—	73	16	no	—
733	#542	—	73	32	no	—
734	#538	—	73	32	no	—
735	#538	—	73	32	no	—
736	#532	—	73	16	no	—
737	C₂×C₄⋊Q₈	—	73	1	no	—
738	C₂×C₄⋊Q₈	—	73	2	no	—
739	C₂×#127	—	73	1	no	—
740	#529	—	73	16	no	—
741	#529	—	73	16	no	—
742	#529	—	73	16	no	—
743	C₂×#126	—	73	2	no	—
744	C₂×#126	—	73	2	no	—
745	C₂×#126	—	73	2	no	—
746	C₂×#126	—	73	2	no	—
747	C₂×#126	—	73	2	no	—
748	C₂×#125	—	73	1	no	—
749	C₂×#124	—	73	1	no	—
750	C₂×#124	—	73	2	no	—
751	C₂×#124	—	73	1	no	—
752	C₂×#124	—	73	16	no	—
753	C₂×#124	—	73	2	no	—
754	C₂×#124	—	73	2	no	—
755	C₂×#124	—	73	2	no	—
756	C₂×#124	—	73	2	no	—
757	C₂×#124	—	73	1	no	—
758	C₂×#124	C₂×D₇₃	1	1	yes	characteristic
759	C₂×#124	C₂×D₇₃	1	1	yes	characteristic
760	C₂×#124	C₂×D₇₃	1	1	yes	characteristic, complemented
761	C₂×#124	C₂×D₇₃	1	2	yes	complemented
762	C₂×#124	C₂×D₇₃	1	1	yes	characteristic, complemented
763	C₂×#124	C₂×D₇₃	1	2	yes	complemented
764	C₂×#124	C₂×D₇₃	1	16	yes	complemented
765	C₂×#123	—	73	2	no	—
766	C₂×#123	—	73	2	no	—
767	C₂×#123	—	73	2	no	—
768	C₂×#123	—	73	2	no	—
769	C₂×#123	—	73	2	no	—
770	C₂×#123	—	73	2	no	—
771	C₂×#123	—	73	2	no	—
772	C₂×C₂²⋊Q₈	—	73	1	no	—
773	C₂×C₂²⋊Q₈	—	73	1	no	—
774	C₂×C₂²⋊Q₈	—	73	2	no	—
775	C₂×C₂²⋊Q₈	—	73	2	no	—
776	C₂×C₂²⋊Q₈	—	73	1	no	—
777	C₂×C₂²⋊Q₈	—	73	2	no	—
778	C₂×C₂²⋊Q₈	—	73	2	no	—
779	C₂×C₂²⋊Q₈	—	73	2	no	—
780	C₂×#121	—	73	1	no	—
781	C₂×#121	—	73	1	no	—
782	C₂×#121	—	73	2	no	—
783	C₂×#121	—	73	2	no	—
784	C₂×#121	—	73	1	no	—
785	C₂×#121	—	73	2	no	—
786	C₂×#121	—	73	2	no	—
787	C₂×#121	—	73	2	no	—
788	C₂×#121	—	73	2	no	—
789	C₂×#121	—	73	2	no	—
790	C₂×#120	—	73	2	no	—
791	C₂×#120	—	73	2	no	—
792	C₂×#120	—	73	2	no	—
793	C₂×#120	—	73	2	no	—
794	#518	—	73	32	no	—
795	C₄×#41	—	73	16	no	—
796	C₂×C₄×Q₈	—	73	1	no	—
797	C₂×C₄×Q₈	—	73	1	no	—
798	C₂×C₄×Q₈	—	73	1	no	—
799	C₂×C₄×Q₈	—	73	1	no	—
800	C₂×C₄×Q₈	—	73	1	no	—
801	C₂×C₄×D₄	—	73	1	no	—
802	C₂×C₄×D₄	—	73	1	no	—
803	C₂×C₄×D₄	—	73	1	no	—
804	C₂×C₄×D₄	—	73	1	no	—
805	C₂×C₄×D₄	—	73	1	no	—
806	C₂×C₄×D₄	—	73	1	no	—
807	C₂×C₄×D₄	—	73	2	no	—
808	C₂×C₄×D₄	—	73	2	no	—
809	C₂×C₄×D₄	—	73	2	no	—
810	C₂×C₄×D₄	—	73	2	no	—
811	C₂×C₄×D₄	—	73	2	no	—
812	C₂×C₄×D₄	—	73	2	no	—
813	C₂×C₄×D₄	—	73	2	no	—
814	C₂×C₄×D₄	—	73	2	no	—
815	C₂×C₄×D₄	—	73	2	no	—
816	C₂×C₄×D₄	—	73	1	no	—
817	C₂×C₄×D₄	—	73	1	no	—
818	C₂×C₄×D₄	—	73	1	no	—
819	C₂×#117	—	73	1	no	—
820	C₂×#117	—	73	2	no	—
821	C₂×#117	—	73	2	no	—
822	C₂×#117	—	73	2	no	—
823	C₂×#117	—	73	1	no	—
824	C₂×#117	—	73	1	no	—
825	C₂×#117	—	73	2	no	—
826	C₂²×C₂²⋊C₄	—	73	2	no	—
827	C₂²×C₂²⋊C₄	—	73	2	no	—
828	C₂²×C₂²⋊C₄	—	73	2	no	—
829	C₂²×C₂²⋊C₄	—	73	2	no	—
830	C₂²×C₂²⋊C₄	C₂×D₇₃	1	2	yes	complemented
831	C₂²×C₂²⋊C₄	C₂×D₇₃	1	2	yes	complemented
832	C₂²×C₄²	—	73	1	no	—
833	C₂²×C₄²	—	73	1	no	—
834	C₂²×C₄²	C₂×D₇₃	1	1	yes	characteristic, complemented
835	C₂⁵	—	73	2	no	—
836	C₂⁵	C₂²×D₇₃	1	2	yes	—
837	C₂×#41	—	292	4	no	—
838	C₂×#41	—	292	4	no	—
839	C₂×#41	—	73	8	no	—
840	C₂×#41	—	73	8	no	—
841	C₂×#41	—	73	8	no	—
842	C₂×#41	—	146	8	no	—
843	C₂²×Q₈	—	4	4	no	—
844	C₂²×Q₈	—	292	4	no	—
845	C₂²×Q₈	—	73	8	no	—
846	C₂²×Q₈	—	73	2	no	—
847	C₂²×Q₈	—	73	1	no	—
848	C₂²×Q₈	—	73	1	no	—
849	C₂²×Q₈	C₂²×D₇₃	1	1	yes	characteristic
850	C₂²×Q₈	C₂²×D₇₃	1	1	yes	characteristic
851	C₂²×Q₈	C₂²×D₇₃	1	2	yes	—
852	C₂²×Q₈	C₂²×D₇₃	1	8	yes	complemented
853	C₂²×D₄	—	4	4	no	—
854	C₂²×D₄	—	292	4	no	—
855	C₂²×D₄	—	73	2	no	—
856	C₂²×D₄	—	73	2	no	—
857	C₂²×D₄	—	73	2	no	—
858	C₂²×D₄	—	73	2	no	—
859	C₂²×D₄	—	73	8	no	—
860	C₂²×D₄	—	73	1	no	—
861	C₂²×D₄	—	73	1	no	—
862	C₂²×D₄	—	73	2	no	—
863	C₂²×D₄	—	73	2	no	—
864	C₂²×D₄	—	73	2	no	—
865	C₂²×D₄	—	73	16	no	—
866	C₂²×D₄	—	73	2	no	—
867	C₂²×D₄	—	73	1	no	—
868	C₂²×D₄	—	73	1	no	—
869	C₂²×D₄	—	146	16	no	—
870	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
871	C₂²×D₄	C₂²×D₇₃	1	1	yes	characteristic
872	C₂²×D₄	C₂²×D₇₃	1	2	yes	—
873	C₂²×D₄	C₂²×D₇₃	1	8	yes	—
874	C₂³×C₄	—	73	2	no	—
875	C₂³×C₄	—	73	2	no	—
876	C₂³×C₄	—	73	1	no	—
877	C₂³×C₄	—	73	2	no	—
878	C₂³×C₄	—	73	2	no	—
879	C₂³×C₄	—	73	2	no	—
880	C₂³×C₄	—	73	1	no	—
881	C₂³×C₄	—	73	2	no	—
882	C₂³×C₄	—	73	1	no	—
883	C₂³×C₄	—	73	1	no	—
884	C₂³×C₄	—	73	1	no	—
885	C₂³×C₄	—	73	1	no	—
886	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
887	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
888	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
889	C₂³×C₄	C₂²×D₇₃	1	2	yes	—
890	C₄⋊Q₈	—	73	8	no	—
891	C₄⋊Q₈	—	73	16	no	—
892	#127	—	73	8	no	—
893	#126	—	73	16	no	—
894	#126	—	73	16	no	—
895	#126	—	73	16	no	—
896	#126	—	73	16	no	—
897	#126	—	73	16	no	—
898	#125	—	73	8	no	—
899	#124	—	73	8	no	—
900	#124	—	73	16	no	—
901	#124	—	73	8	no	—
902	#124	—	73	16	no	—
903	#124	—	73	16	no	—
904	#124	—	73	16	no	—
905	#124	—	73	16	no	—
906	#124	—	73	8	no	—
907	#124	C₂²×D₇₃	1	8	yes	—
908	#124	C₂²×D₇₃	1	8	yes	—
909	#124	C₂²×D₇₃	1	8	yes	complemented
910	#124	C₂²×D₇₃	1	16	yes	complemented
911	#124	C₂²×D₇₃	1	8	yes	complemented
912	#124	C₂²×D₇₃	1	16	yes	complemented
913	#123	—	73	16	no	—
914	#123	—	73	16	no	—
915	#123	—	73	16	no	—
916	#123	—	73	16	no	—
917	#123	—	73	16	no	—
918	#123	—	73	16	no	—
919	#123	—	73	16	no	—
920	C₂²⋊Q₈	—	73	8	no	—
921	C₂²⋊Q₈	—	73	8	no	—
922	C₂²⋊Q₈	—	73	16	no	—
923	C₂²⋊Q₈	—	73	16	no	—
924	C₂²⋊Q₈	—	73	8	no	—
925	C₂²⋊Q₈	—	73	16	no	—
926	C₂²⋊Q₈	—	73	16	no	—
927	C₂²⋊Q₈	—	73	16	no	—
928	#121	—	73	8	no	—
929	#121	—	73	8	no	—
930	#121	—	73	16	no	—
931	#121	—	73	16	no	—
932	#121	—	73	8	no	—
933	#121	—	73	16	no	—
934	#121	—	73	16	no	—
935	#121	—	73	16	no	—
936	#121	—	73	16	no	—
937	#121	—	73	16	no	—
938	#120	—	73	16	no	—
939	#120	—	73	16	no	—
940	#120	—	73	16	no	—
941	#120	—	73	16	no	—
942	C₄×Q₈	—	73	8	no	—
943	C₄×Q₈	—	73	8	no	—
944	C₄×Q₈	—	73	8	no	—
945	C₄×Q₈	—	73	8	no	—
946	C₄×Q₈	—	73	8	no	—
947	C₄×D₄	—	73	8	no	—
948	C₄×D₄	—	73	8	no	—
949	C₄×D₄	—	73	8	no	—
950	C₄×D₄	—	73	8	no	—
951	C₄×D₄	—	73	8	no	—
952	C₄×D₄	—	73	8	no	—
953	C₄×D₄	—	73	16	no	—
954	C₄×D₄	—	73	16	no	—
955	C₄×D₄	—	73	16	no	—
956	C₄×D₄	—	73	16	no	—
957	C₄×D₄	—	73	16	no	—
958	C₄×D₄	—	73	16	no	—
959	C₄×D₄	—	73	16	no	—
960	C₄×D₄	—	73	16	no	—
961	C₄×D₄	—	73	16	no	—
962	C₄×D₄	—	73	8	no	—
963	C₄×D₄	—	73	8	no	—
964	C₄×D₄	—	73	8	no	—
965	#117	—	73	8	no	—
966	#117	—	73	16	no	—
967	#117	—	73	16	no	—
968	#117	—	73	16	no	—
969	#117	—	73	8	no	—
970	#117	—	73	8	no	—
971	#117	—	73	16	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	2	no	—
976	C₂×C₄⋊C₄	—	73	2	no	—
977	C₂×C₄⋊C₄	—	73	1	no	—
978	C₂×C₄⋊C₄	—	73	1	no	—
979	C₂×C₄⋊C₄	—	73	1	no	—
980	C₂×C₄⋊C₄	—	73	1	no	—
981	C₂×C₄⋊C₄	—	73	1	no	—
982	C₂×C₄⋊C₄	—	73	2	no	—
983	C₂×C₄⋊C₄	—	73	2	no	—
984	C₂×C₄⋊C₄	—	73	1	no	—
985	C₂×C₄⋊C₄	—	73	1	no	—
986	C₂×C₄⋊C₄	—	73	2	no	—
987	C₂×C₄⋊C₄	—	73	2	no	—
988	C₂×C₄⋊C₄	—	73	2	no	—
989	C₂×C₄⋊C₄	—	73	2	no	—
990	C₂×C₂²⋊C₄	—	73	1	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	16	no	—
995	C₂×C₂²⋊C₄	—	73	2	no	—
996	C₂×C₂²⋊C₄	—	73	1	no	—
997	C₂×C₂²⋊C₄	—	73	2	no	—
998	C₂×C₂²⋊C₄	—	73	2	no	—
999	C₂×C₂²⋊C₄	—	73	2	no	—
1000	C₂×C₂²⋊C₄	—	73	1	no	—
1001	C₂×C₂²⋊C₄	—	73	2	no	—
1002	C₂×C₂²⋊C₄	—	73	2	no	—
1003	C₂×C₂²⋊C₄	—	73	2	no	—
1004	C₂×C₂²⋊C₄	—	73	2	no	—
1005	C₂×C₂²⋊C₄	—	73	2	no	—
1006	C₂×C₂²⋊C₄	—	73	1	no	—
1007	C₂×C₂²⋊C₄	—	73	1	no	—
1008	C₂×C₂²⋊C₄	—	73	1	no	—
1009	C₂×C₂²⋊C₄	—	73	2	no	—
1010	C₂×C₂²⋊C₄	—	73	2	no	—
1011	C₂×C₂²⋊C₄	—	73	2	no	—
1012	C₂×C₂²⋊C₄	—	73	16	no	—
1013	C₂×C₂²⋊C₄	—	73	16	no	—
1014	C₂×C₂²⋊C₄	—	73	16	no	—
1015	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
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×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1021	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1022	C₂×C₂²⋊C₄	C₂²×D₇₃	1	2	yes	—
1023	C₂×C₂²⋊C₄	C₂²×D₇₃	1	16	yes	complemented
1024	C₂×C₂²⋊C₄	C₂²×D₇₃	1	16	yes	complemented
1025	C₂×C₄²	—	73	1	no	—
1026	C₂×C₄²	—	73	1	no	—
1027	C₂×C₄²	—	73	2	no	—
1028	C₂×C₄²	—	73	2	no	—
1029	C₂×C₄²	—	73	1	no	—
1030	C₂×C₄²	—	73	2	no	—
1031	C₂×C₄²	—	73	1	no	—
1032	C₂×C₄²	—	73	1	no	—
1033	C₂×C₄²	—	73	1	no	—
1034	C₂×C₄²	—	73	8	no	—
1035	C₂×C₄²	—	73	8	no	—
1036	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1037	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1038	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1039	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
1040	C₂×C₄²	C₂²×D₇₃	1	8	yes	complemented
1041	C₂⁴	—	2	8	no	—
1042	C₂⁴	—	4	4	no	—
1043	C₂⁴	—	4	4	no	—
1044	C₂⁴	—	292	4	no	—
1045	C₂⁴	—	292	4	no	—
1046	C₂⁴	—	73	8	no	—
1047	C₂⁴	—	73	1	no	—
1048	C₂⁴	—	73	2	no	—
1049	C₂⁴	—	73	1	no	—
1050	C₂⁴	—	146	8	no	—
1051	C₂⁴	C₂³×D₇₃	1	2	yes	—
1052	C₂⁴	C₂³×D₇₃	1	2	yes	—
1053	C₂⁴	C₂³×D₇₃	1	1	yes	characteristic
1054	C₂⁴	C₂³×D₇₃	1	8	yes	—
1055	#41	—	292	16	no	—
1056	#41	—	292	16	no	—
1057	#41	—	146	32	no	—
1058	C₂×Q₈	—	2	4	no	—
1059	C₂×Q₈	—	2	4	no	—
1060	C₂×Q₈	—	4	4	no	—
1061	C₂×Q₈	—	4	16	no	—
1062	C₂×Q₈	—	292	4	no	—
1063	C₂×Q₈	—	292	16	no	—
1064	C₂×Q₈	—	73	8	no	—
1065	C₂×Q₈	—	73	4	no	—
1066	C₂×Q₈	—	73	4	no	—
1067	C₂×Q₈	—	146	4	no	—
1068	C₂×Q₈	—	146	4	no	—
1069	C₂×Q₈	C₂³×D₇₃	1	4	yes	—
1070	C₂×Q₈	C₂³×D₇₃	1	4	yes	—
1071	C₂×Q₈	C₂³×D₇₃	1	8	yes	—
1072	C₂×D₄	—	2	4	no	—
1073	C₂×D₄	—	2	4	no	—
1074	C₂×D₄	—	4	16	no	—
1075	C₂×D₄	—	4	4	no	—
1076	C₂×D₄	—	292	4	no	—
1077	C₂×D₄	—	292	16	no	—
1078	C₂×D₄	—	292	4	no	—
1079	C₂×D₄	—	292	4	no	—
1080	C₂×D₄	—	292	4	no	—
1081	C₂×D₄	—	292	4	no	—
1082	C₂×D₄	—	73	8	no	—
1083	C₂×D₄	—	73	8	no	—
1084	C₂×D₄	—	73	8	no	—
1085	C₂×D₄	—	73	8	no	—
1086	C₂×D₄	—	73	8	no	—
1087	C₂×D₄	—	73	4	no	—
1088	C₂×D₄	—	73	4	no	—
1089	C₂×D₄	—	73	8	no	—
1090	C₂×D₄	—	73	8	no	—
1091	C₂×D₄	—	73	8	no	—
1092	C₂×D₄	—	73	8	no	—
1093	C₂×D₄	—	73	4	no	—
1094	C₂×D₄	—	73	4	no	—
1095	C₂×D₄	—	146	4	no	—
1096	C₂×D₄	—	146	8	no	—
1097	C₂×D₄	—	146	64	no	—
1098	C₂×D₄	—	146	8	no	—
1099	C₂×D₄	—	146	8	no	—
1100	C₂×D₄	—	146	4	no	—
1101	C₂×D₄	—	146	4	no	—
1102	C₂×D₄	C₂³×D₇₃	1	4	yes	—
1103	C₂×D₄	C₂³×D₇₃	1	4	yes	—
1104	C₂×D₄	C₂³×D₇₃	1	8	yes	—
1105	C₂²×C₄	—	2	4	no	—
1106	C₂²×C₄	—	2	4	no	—
1107	C₂²×C₄	—	4	2	no	—
1108	C₂²×C₄	—	4	4	no	—
1109	C₂²×C₄	—	292	2	no	—
1110	C₂²×C₄	—	292	4	no	—
1111	C₂²×C₄	—	292	2	no	—
1112	C₂²×C₄	—	292	4	no	—
1113	C₂²×C₄	—	292	4	no	—
1114	C₂²×C₄	—	292	4	no	—
1115	C₂²×C₄	—	292	4	no	—
1116	C₂²×C₄	—	73	8	no	—
1117	C₂²×C₄	—	73	8	no	—
1118	C₂²×C₄	—	73	4	no	—
1119	C₂²×C₄	—	73	4	no	—
1120	C₂²×C₄	—	73	8	no	—
1121	C₂²×C₄	—	73	8	no	—
1122	C₂²×C₄	—	73	8	no	—
1123	C₂²×C₄	—	73	1	no	—
1124	C₂²×C₄	—	73	8	no	—
1125	C₂²×C₄	—	73	1	no	—
1126	C₂²×C₄	—	73	1	no	—
1127	C₂²×C₄	—	73	2	no	—
1128	C₂²×C₄	—	73	1	no	—
1129	C₂²×C₄	—	73	1	no	—
1130	C₂²×C₄	—	73	1	no	—
1131	C₂²×C₄	—	73	2	no	—
1132	C₂²×C₄	—	73	2	no	—
1133	C₂²×C₄	—	73	4	no	—
1134	C₂²×C₄	—	73	4	no	—
1135	C₂²×C₄	—	73	4	no	—
1136	C₂²×C₄	—	73	4	no	—
1137	C₂²×C₄	—	146	4	no	—
1138	C₂²×C₄	—	146	4	no	—
1139	C₂²×C₄	—	146	8	no	—
1140	C₂²×C₄	—	146	4	no	—
1141	C₂²×C₄	—	146	4	no	—
1142	C₂²×C₄	C₂³×D₇₃	1	4	yes	—
1143	C₂²×C₄	C₂³×D₇₃	1	4	yes	—
1144	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1145	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1146	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1147	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
1148	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
1149	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1150	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1151	C₂²×C₄	C₂³×D₇₃	1	4	yes	—
1152	C₂²×C₄	C₂³×D₇₃	1	8	yes	—
1153	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1154	C₄⋊C₄	—	73	4	no	—
1155	C₄⋊C₄	—	73	8	no	—
1156	C₄⋊C₄	—	73	8	no	—
1157	C₄⋊C₄	—	73	8	no	—
1158	C₄⋊C₄	—	73	8	no	—
1159	C₄⋊C₄	—	73	4	no	—
1160	C₄⋊C₄	—	73	4	no	—
1161	C₄⋊C₄	—	73	4	no	—
1162	C₄⋊C₄	—	73	8	no	—
1163	C₄⋊C₄	—	73	8	no	—
1164	C₄⋊C₄	—	73	8	no	—
1165	C₄⋊C₄	—	73	8	no	—
1166	C₄⋊C₄	—	73	4	no	—
1167	C₄⋊C₄	—	73	4	no	—
1168	C₄⋊C₄	—	73	4	no	—
1169	C₄⋊C₄	—	73	4	no	—
1170	C₄⋊C₄	—	73	8	no	—
1171	C₄⋊C₄	—	73	8	no	—
1172	C₂²⋊C₄	—	73	4	no	—
1173	C₂²⋊C₄	—	73	8	no	—
1174	C₂²⋊C₄	—	73	8	no	—
1175	C₂²⋊C₄	—	73	8	no	—
1176	C₂²⋊C₄	—	73	8	no	—
1177	C₂²⋊C₄	—	73	4	no	—
1178	C₂²⋊C₄	—	73	8	no	—
1179	C₂²⋊C₄	—	73	8	no	—
1180	C₂²⋊C₄	—	73	8	no	—
1181	C₂²⋊C₄	—	73	4	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	4	no	—
1188	C₂²⋊C₄	—	73	4	no	—
1189	C₂²⋊C₄	—	73	4	no	—
1190	C₂²⋊C₄	—	73	8	no	—
1191	C₂²⋊C₄	—	73	8	no	—
1192	C₂²⋊C₄	—	73	8	no	—
1193	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1194	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1195	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1196	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1197	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1198	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1199	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1200	C₂²⋊C₄	C₂³×D₇₃	1	8	yes	—
1201	C₄²	—	73	4	no	—
1202	C₄²	—	73	4	no	—
1203	C₄²	—	73	4	no	—
1204	C₄²	—	73	4	no	—
1205	C₄²	—	73	4	no	—
1206	C₄²	—	73	4	no	—
1207	C₄²	—	73	8	no	—
1208	C₄²	—	73	8	no	—
1209	C₄²	—	73	8	no	—
1210	C₄²	C₂³×D₇₃	1	4	yes	—
1211	C₄²	C₂³×D₇₃	1	4	yes	—
1212	C₄²	C₂³×D₇₃	1	4	yes	—
1213	C₄²	C₂³×D₇₃	1	4	yes	—
1214	C₂³	—	2	2	no	—
1215	C₂³	—	2	2	no	—
1216	C₂³	—	2	4	no	—
1217	C₂³	—	2	4	no	—
1218	C₂³	—	2	4	no	—
1219	C₂³	—	2	4	no	—
1220	C₂³	—	2	4	no	—
1221	C₂³	—	2	4	no	—
1222	C₂³	—	2	16	no	—
1223	C₂³	—	4	8	no	—
1224	C₂³	—	4	8	no	—
1225	C₂³	—	8	16	no	—
1226	C₂³	—	292	8	no	—
1227	C₂³	—	292	8	no	—
1228	C₂³	—	584	16	no	—
1229	C₂³	—	73	4	no	—
1230	C₂³	—	73	2	no	—
1231	C₂³	—	73	4	no	—
1232	C₂³	—	73	2	no	—
1233	C₂³	—	146	16	no	—
1234	C₂³	—	146	2	no	—
1235	C₂³	—	146	4	no	—
1236	C₂³	—	146	4	no	—
1237	C₂³	—	146	2	no	—
1238	C₂³	—	146	2	no	—
1239	C₂³	—	146	4	no	—
1240	C₂³	—	146	2	no	—
1241	C₂³	—	146	2	no	—
1242	C₂³	#41×D₇₃	1	4	yes	—
1243	C₂³	C₂⁴×D₇₃	1	4	yes	—
1244	C₂³	C₂⁴×D₇₃	1	4	yes	—
1245	C₂³	C₂⁴×D₇₃	1	2	yes	—
1246	C₂³	C₂⁴×D₇₃	1	1	yes	characteristic
1247	Q₈	—	2	8	no	—
1248	Q₈	—	2	8	no	—
1249	Q₈	—	4	8	no	—
1250	Q₈	—	292	8	no	—
1251	Q₈	—	146	8	no	—
1252	Q₈	—	146	8	no	—
1253	D₄	—	2	8	no	—
1254	D₄	—	2	8	no	—
1255	D₄	—	4	8	no	—
1256	D₄	—	292	8	no	—
1257	D₄	—	292	8	no	—
1258	D₄	—	292	8	no	—
1259	D₄	—	292	8	no	—
1260	D₄	—	292	8	no	—
1261	D₄	—	73	16	no	—
1262	D₄	—	146	8	no	—
1263	D₄	—	146	16	no	—
1264	D₄	—	146	16	no	—
1265	D₄	—	146	16	no	—
1266	D₄	—	146	8	no	—
1267	D₄	—	146	8	no	—
1268	C₂×C₄	—	2	2	no	—
1269	C₂×C₄	—	2	2	no	—
1270	C₂×C₄	—	2	8	no	—
1271	C₂×C₄	—	2	2	no	—
1272	C₂×C₄	—	2	4	no	—
1273	C₂×C₄	—	2	4	no	—
1274	C₂×C₄	—	2	2	no	—
1275	C₂×C₄	—	2	2	no	—
1276	C₂×C₄	—	2	8	no	—
1277	C₂×C₄	—	4	8	no	—
1278	C₂×C₄	—	4	4	no	—
1279	C₂×C₄	—	292	8	no	—
1280	C₂×C₄	—	292	8	no	—
1281	C₂×C₄	—	292	4	no	—
1282	C₂×C₄	—	292	8	no	—
1283	C₂×C₄	—	292	4	no	—
1284	C₂×C₄	—	292	8	no	—
1285	C₂×C₄	—	292	8	no	—
1286	C₂×C₄	—	73	4	no	—
1287	C₂×C₄	—	73	2	no	—
1288	C₂×C₄	—	73	2	no	—
1289	C₂×C₄	—	73	2	no	—
1290	C₂×C₄	—	73	4	no	—
1291	C₂×C₄	—	73	2	no	—
1292	C₂×C₄	—	73	2	no	—
1293	C₂×C₄	—	73	2	no	—
1294	C₂×C₄	—	73	4	no	—
1295	C₂×C₄	—	73	4	no	—
1296	C₂×C₄	—	146	8	no	—
1297	C₂×C₄	—	146	8	no	—
1298	C₂×C₄	—	146	16	no	—
1299	C₂×C₄	—	146	4	no	—
1300	C₂×C₄	—	146	2	no	—
1301	C₂×C₄	—	146	2	no	—
1302	C₂×C₄	—	146	4	no	—
1303	C₂×C₄	—	146	2	no	—
1304	C₂×C₄	—	146	2	no	—
1305	C₂×C₄	—	146	4	no	—
1306	C₂×C₄	—	146	2	no	—
1307	C₂×C₄	—	146	8	no	—
1308	C₂×C₄	—	146	8	no	—
1309	C₂×C₄	#14556636	1	4	yes	—
1310	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1311	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1312	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1313	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1314	C₂×C₄	C₂⁴×D₇₃	1	4	yes	—
1315	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1316	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1317	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1318	C₂²	—	2	8	no	—
1319	C₂²	—	2	2	no	—
1320	C₂²	—	2	2	no	—
1321	C₂²	—	2	4	no	—
1322	C₂²	—	2	4	no	—
1323	C₂²	—	2	4	no	—
1324	C₂²	—	2	4	no	—
1325	C₂²	—	2	4	no	—
1326	C₂²	—	2	4	no	—
1327	C₂²	—	4	8	no	—
1328	C₂²	—	4	8	no	—
1329	C₂²	—	8	16	no	—
1330	C₂²	—	292	8	no	—
1331	C₂²	—	292	4	no	—
1332	C₂²	—	584	16	no	—
1333	C₂²	—	73	4	no	—
1334	C₂²	—	146	2	no	—
1335	C₂²	—	146	4	no	—
1336	C₂²	—	146	4	no	—
1337	C₂²	—	146	2	no	—
1338	C₂²	—	146	2	no	—
1339	C₂²	—	146	4	no	—
1340	C₂²	—	146	8	no	—
1341	C₂²	—	146	2	no	—
1342	C₂²	—	146	2	no	—
1343	C₂²	C₂×#41×D₇₃	1	4	yes	—
1344	C₂²	C₂×#41×D₇₃	1	2	yes	—
1345	C₂²	C₂×#14556636	1	2	yes	—
1346	C₂²	#17989423	1	2	yes	—
1347	C₂²	C₂⁵×D₇₃	1	1	yes	characteristic
1348	C₄	—	2	2	no	—
1349	C₄	—	2	2	no	—
1350	C₄	—	2	2	no	—
1351	C₄	—	2	4	no	—
1352	C₄	—	2	4	no	—
1353	C₄	—	2	2	no	—
1354	C₄	—	2	2	no	—
1355	C₄	—	73	4	no	—
1356	C₄	—	146	4	no	—
1357	C₄	—	146	2	no	—
1358	C₄	—	146	2	no	—
1359	C₄	—	146	4	no	—
1360	C₄	—	146	2	no	—
1361	C₄	—	146	2	no	—
1362	C₄	—	146	4	no	—
1363	C₄	—	146	2	no	—
1364	C₄	C₂×#14556636	1	4	yes	—
1365	C₂	—	2	4	no	—
1366	C₂	—	4	4	no	—
1367	C₂	—	4	4	no	—
1368	C₂	—	292	4	no	—
1369	C₂	—	292	2	no	—
1370	C₂	—	146	4	no	—
1371	C₂	#22623886	1	4	yes	direct product factor
1372	C₂	C₂²×#41×D₇₃	1	1	yes	characteristic
1373	C₂	C₂²×#14556636	1	1	yes	characteristic
1374	C₂	C₂×#17989423	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₇₃
commutator, cosocle	C₂²×C₇₃	C₂⁶
Frattini	C₂²	C₂⁵×D₇₃
Fitting	C₂²×#124×C₇₃	C₂
socle	C₂³×C₇₃	C₂⁵
hypercenter	C₂²×#124	D₇₃
hypocenter	C₇₃	C₂×#3514
LCS	G ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂³ ◁ C₂²×#124

Complements

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

N	H ≅ G/N	type
1. #22623886	C₂	direct (N × H)
2. C₂×#17989319	C₂	semidirect
3. C₂×#17989306	C₂	semidirect
4. C₂×#17989299	C₂	semidirect
5. C₂×#17989267	C₂	semidirect
6. C₂×#17989263	C₂	semidirect
7. C₂×Q₈×C₂²⋊D₇₃	C₂	semidirect
8. C₂×#17989248	C₂	semidirect
9. C₂×#17989245	C₂	semidirect
10. C₂×#17989231	C₂	semidirect
11. C₂×#17989230	C₂	semidirect
12. C₂×#17989227	C₂	semidirect
13. C₂×D₄×C₂²⋊D₇₃	C₂	semidirect
14. C₂×#17989201	C₂	semidirect
15. C₂×#17989175	C₂	semidirect
16. C₂×#17989171	C₂	semidirect
17. C₂×#17989136	C₂	semidirect
18. C₂×#17989121	C₂	semidirect
19. C₂×#17989116	C₂	semidirect
20. C₂×#17989116	C₂	semidirect
21. C₂×#124×D₇₃	C₂	semidirect
22. C₂×#17989060	C₂	semidirect
23. C₂×C₄×#11924028	C₂	semidirect
24. C₂²×#124×C₇₃	C₂	semidirect
25. C₂²×#11924029	C₂²	semidirect
27. C₂²×#11924027	C₂²	semidirect
28. C₂²×Q₈×D₇₃	C₂²	semidirect
31. #17989319	C₂²	semidirect
32. #17989306	C₂²	semidirect
33. #17989299	C₂²	semidirect
34. #17989267	C₂²	semidirect
35. #17989263	C₂²	semidirect
36. Q₈×C₂²⋊D₇₃	C₂²	semidirect
37. #17989248	C₂²	semidirect
38. #17989245	C₂²	semidirect
39. #17989231	C₂²	semidirect
40. #17989230	C₂²	semidirect
41. #17989227	C₂²	semidirect
42. D₄×C₂²⋊D₇₃	C₂²	semidirect
43. #17989201	C₂²	semidirect
44. #17989175	C₂²	semidirect
45. #17989171	C₂²	semidirect
46. #17989136	C₂²	semidirect
47. C₂×#14556589	C₂²	semidirect
48. C₂×#14556589	C₂²	semidirect
50. #17989121	C₂²	semidirect
51. #17989116	C₂²	semidirect
52. #17989116	C₂²	semidirect
53. C₂×#14556585	C₂²	semidirect
54. C₂×#14556584	C₂²	semidirect
55. C₂×#14556584	C₂²	semidirect
56. C₂×#14556584	C₂²	semidirect
57. C₂×#14556584	C₂²	semidirect
58. C₂×#14556583	C₂²	semidirect
59. C₂×#14556580	C₂²	semidirect
60. C₂×#14556580	C₂²	semidirect
61. C₂×#14556579	C₂²	semidirect
63. C₂×#14556577	C₂²	semidirect
64. C₂×#14556577	C₂²	semidirect
65. C₂×#14556577	C₂²	semidirect
66. C₂×#14556577	C₂²	semidirect
67. #124×D₇₃	C₂²	semidirect
68. C₂×#14556575	C₂²	semidirect
69. C₂×#14556574	C₂²	semidirect
70. C₂×#14556573	C₂²	semidirect
71. C₂×#14556573	C₂²	semidirect
72. C₂×#14556573	C₂²	semidirect
73. C₂×#14556573	C₂²	semidirect
74. C₂×#14556572	C₂²	semidirect
75. C₂×#14556570	C₂²	semidirect
76. C₂×#14556570	C₂²	semidirect
77. C₂×#14556568	C₂²	semidirect
78. C₂×#14556568	C₂²	semidirect
79. C₂×#14556567	C₂²	semidirect
80. C₂×#14556567	C₂²	semidirect
81. C₂×#14556567	C₂²	semidirect
82. C₂×#14556567	C₂²	semidirect
84. C₂×#14556565	C₂²	semidirect
85. C₂×#14556564	C₂²	semidirect
86. C₂×#14556564	C₂²	semidirect
87. C₂×#14556564	C₂²	semidirect
88. C₂×#14556564	C₂²	semidirect
90. C₂×#14556563	C₂²	semidirect
93. C₂×#14556561	C₂²	semidirect
95. C₂×#14556560	C₂²	semidirect
97. #17989060	C₂²	semidirect
98. C₄×#11924028	C₂²	semidirect
99. C₂×Q₈×Dic₇₃	C₂²	semidirect
100. C₂×Q₈×Dic₇₃	C₂²	semidirect
101. C₂×C₄×Dic₁₄₆	C₂²	semidirect
102. C₂×C₄×Dic₁₄₆	C₂²	semidirect
103. C₂×C₄×Dic₁₄₆	C₂²	semidirect
104. C₂×C₄×D₂₉₂	C₂²	semidirect
105. C₂×C₄×D₂₉₂	C₂²	semidirect
106. C₂×C₄×D₂₉₂	C₂²	semidirect
108. C₂×D₄×Dic₇₃	C₂²	semidirect
112. C₂×C₄×C₂²⋊D₇₃	C₂²	semidirect
113. C₂×C₄×C₂²⋊D₇₃	C₂²	semidirect
114. C₂×C₄×C₂²⋊D₇₃	C₂²	semidirect
115. C₂×C₄×C₂²⋊D₇₃	C₂²	semidirect
116. C₂×#14556551	C₂²	semidirect
117. C₂×#14556551	C₂²	semidirect
118. C₂×#14556551	C₂²	semidirect
119. C₂×#14556551	C₂²	semidirect
120. C₂×#14556551	C₂²	semidirect
121. C₂×#14556551	C₂²	semidirect
122. C₂×#14556550	C₂²	semidirect
123. C₂×#14556548	C₂²	semidirect
124. C₂×#14556548	C₂²	semidirect
125. C₂×#14556548	C₂²	semidirect
126. C₂×#14556547	C₂²	semidirect
127. C₂×#14556547	C₂²	semidirect
128. C₂×#14556547	C₂²	semidirect
129. C₂²×C₂²⋊Dic₇₃	C₂²	semidirect
130. C₂×C₂²⋊C₄×D₇₃	C₂²	semidirect
131. C₂×C₂²⋊C₄×D₇₃	C₂²	semidirect
132. C₂×C₂²⋊C₄×D₇₃	C₂²	semidirect
133. C₂×C₄²×D₇₃	C₂²	semidirect
134. C₂×C₄²×D₇₃	C₂²	semidirect
135. C₂³×Q₈×C₇₃	C₂²	semidirect
139. C₂×#124×C₇₃	C₂²	semidirect
140. C₂×#124×C₇₃	C₂²	semidirect
141. C₂×#124×C₇₃	C₂²	semidirect
142. C₂×#124×C₇₃	C₂²	semidirect
143. C₂×#124×C₇₃	C₂²	semidirect
144. C₂²×C₂²⋊C₄×C₇₃	C₂²	semidirect
145. C₂²×C₂²⋊C₄×C₇₃	C₂²	semidirect
146. C₂²×C₄²×C₇₃	C₂²	semidirect
149. C₂×#11924029	C₂³	semidirect
153. C₂×#11924027	C₂³	semidirect
158. C₂×Q₈×D₇₃	C₂³	semidirect
187. #14556589	C₂³	semidirect
188. #14556589	C₂³	semidirect
190. #14556585	C₂³	semidirect
191. #14556584	C₂³	semidirect
192. #14556584	C₂³	semidirect
193. #14556584	C₂³	semidirect
194. #14556584	C₂³	semidirect
195. #14556583	C₂³	semidirect
196. #14556580	C₂³	semidirect
197. #14556580	C₂³	semidirect
198. #14556579	C₂³	semidirect
200. #14556577	C₂³	semidirect
201. #14556577	C₂³	semidirect
202. #14556577	C₂³	semidirect
203. #14556577	C₂³	semidirect
204. #14556575	C₂³	semidirect
205. #14556574	C₂³	semidirect
206. #14556573	C₂³	semidirect
207. #14556573	C₂³	semidirect
208. #14556573	C₂³	semidirect
209. #14556573	C₂³	semidirect
210. #14556572	C₂³	semidirect
211. #14556570	C₂³	semidirect
212. #14556570	C₂³	semidirect
213. #14556568	C₂³	semidirect
214. #14556568	C₂³	semidirect
215. #14556567	C₂³	semidirect
216. #14556567	C₂³	semidirect
217. #14556567	C₂³	semidirect
218. #14556567	C₂³	semidirect
220. #14556565	C₂³	semidirect
221. #14556564	C₂³	semidirect
222. #14556564	C₂³	semidirect
223. #14556564	C₂³	semidirect
224. #14556564	C₂³	semidirect
226. #14556563	C₂³	semidirect
229. #14556561	C₂³	semidirect
231. #14556560	C₂³	semidirect
233. Q₈×Dic₇₃	C₂³	semidirect
234. Q₈×Dic₇₃	C₂³	semidirect
235. C₄×Dic₁₄₆	C₂³	semidirect
236. C₄×Dic₁₄₆	C₂³	semidirect
237. C₄×Dic₁₄₆	C₂³	semidirect
238. C₄×D₂₉₂	C₂³	semidirect
239. C₄×D₂₉₂	C₂³	semidirect
240. C₄×D₂₉₂	C₂³	semidirect
242. D₄×Dic₇₃	C₂³	semidirect
246. C₄×C₂²⋊D₇₃	C₂³	semidirect
247. C₄×C₂²⋊D₇₃	C₂³	semidirect
248. C₄×C₂²⋊D₇₃	C₂³	semidirect
249. C₄×C₂²⋊D₇₃	C₂³	semidirect
250. #14556551	C₂³	semidirect
251. #14556551	C₂³	semidirect
252. #14556551	C₂³	semidirect
253. #14556551	C₂³	semidirect
254. #14556551	C₂³	semidirect
255. #14556551	C₂³	semidirect
256. #14556550	C₂³	semidirect
257. #14556548	C₂³	semidirect
258. #14556548	C₂³	semidirect
259. #14556548	C₂³	semidirect
260. #14556547	C₂³	semidirect
261. #14556547	C₂³	semidirect
262. #14556547	C₂³	semidirect
290. C₂×C₂²⋊Dic₇₃	C₂³	semidirect
303. C₂²⋊C₄×D₇₃	C₂³	semidirect
304. C₂²⋊C₄×D₇₃	C₂³	semidirect
305. C₂²⋊C₄×D₇₃	C₂³	semidirect
315. C₄²×D₇₃	C₂³	semidirect
316. C₄²×D₇₃	C₂³	semidirect
322. C₂²×Q₈×C₇₃	C₂³	semidirect
334. #124×C₇₃	C₂³	semidirect
335. #124×C₇₃	C₂³	semidirect
336. #124×C₇₃	C₂³	semidirect
337. #124×C₇₃	C₂³	semidirect
346. C₂×C₂²⋊C₄×C₇₃	C₂³	semidirect
347. C₂×C₂²⋊C₄×C₇₃	C₂³	semidirect
352. C₂×C₄²×C₇₃	C₂³	semidirect
385. C₂×C₂²⋊D₇₃	#41	semidirect
593. C₂²⋊D₇₃	C₂×#41	semidirect
681. C₂×C₇₃	#3514	semidirect
709. C₂²×#124	D₇₃	semidirect
712. C₇₃	C₂×#3514	semidirect
717. C₂³×Q₈	C₂×D₇₃	semidirect
760. C₂×#124	C₂×D₇₃	semidirect
761. C₂×#124	C₂×D₇₃	semidirect
762. C₂×#124	C₂×D₇₃	semidirect
763. C₂×#124	C₂×D₇₃	semidirect
764. C₂×#124	C₂×D₇₃	semidirect
830. C₂²×C₂²⋊C₄	C₂×D₇₃	semidirect
831. C₂²×C₂²⋊C₄	C₂×D₇₃	semidirect
834. C₂²×C₄²	C₂×D₇₃	semidirect
852. C₂²×Q₈	C₂²×D₇₃	semidirect
909. #124	C₂²×D₇₃	semidirect
910. #124	C₂²×D₇₃	semidirect
911. #124	C₂²×D₇₃	semidirect
912. #124	C₂²×D₇₃	semidirect
1023. C₂×C₂²⋊C₄	C₂²×D₇₃	semidirect
1024. C₂×C₂²⋊C₄	C₂²×D₇₃	semidirect
1040. C₂×C₄²	C₂²×D₇₃	semidirect
1371. C₂	#22623886	direct (N × H)

Maximal subgroups

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

subgroup	index
#22623886	2
C₂×#17989319	2
C₂×#17989306	2
C₂×#17989299	2
C₂×#17989267	2
C₂×#17989263	2
C₂×Q₈×C₂²⋊D₇₃	2
C₂×#17989248	2
C₂×#17989245	2
C₂×#17989231	2
C₂×#17989230	2
C₂×#17989227	2
C₂×D₄×C₂²⋊D₇₃	2
C₂×#17989201	2
C₂×#17989175	2
C₂×#17989171	2
C₂×#17989136	2
C₂×#17989121	2
C₂×#17989116	2
C₂×#124×D₇₃	2
C₂×#17989060	2
C₂×C₄×#11924028	2
C₂²×#124×C₇₃	2
C₂×#3514	73

Subgroups — C2×#22623886 #33994070

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#22623886 #33994070