Subgroups — #3500×D₇₃ #33994448

Order 18688.

11534 conjugacy classes of subgroups.

The subgroup lattice has 1216 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×2₋¹⁺⁴×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×H(5,𝔽₂)×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#22623725	C₂	1	1	yes	maximal, characteristic, complemented
4	#22623724	C₂	1	1	yes	maximal, characteristic, complemented
5	#22623723	C₂	1	3	yes	maximal, complemented
6	#22623722	C₂	1	4	yes	maximal, complemented
7	#22623721	C₂	1	3	yes	maximal, complemented
8	#22623720	C₂	1	3	yes	maximal, complemented
9	#22623719	C₂	1	1	yes	maximal, characteristic, complemented
10	#22623718	C₂	1	3	yes	maximal, complemented
11	#22623717	C₂	1	12	yes	maximal, complemented
12	#548×D₇₃	C₂	1	4	yes	maximal, complemented
13	#546×D₇₃	C₂	1	12	yes	maximal, complemented
14	#536×D₇₃	C₂	1	3	yes	maximal, complemented
15	#535×D₇₃	C₂	1	3	yes	maximal, complemented
16	#532×D₇₃	C₂	1	3	yes	maximal, complemented
17	C₂×#124×D₇₃	C₂	1	3	yes	maximal, complemented
18	C₄×#41×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
19	C₇₃×#3500	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#14556639	C₂²	1	3	yes	complemented
21	C₂×#14556639	C₂²	1	2	yes	complemented
22	C₂×#14556638	C₂²	1	1	yes	characteristic, complemented
23	C₂×#14556638	C₂²	1	6	yes	complemented
24	C₂×#14556638	C₂²	1	3	yes	complemented
25	2₋¹⁺⁴×D₇₃	—	2	16	no	—
26	C₂×#14556637	C₂²	1	3	yes	complemented
27	C₂×#14556637	C₂²	1	2	yes	complemented
28	C₂×#14556637	C₂²	1	1	yes	characteristic, complemented
29	C₂×#14556636	C₂²	1	6	yes	complemented
30	C₂×#14556636	C₂²	1	3	yes	complemented
31	H(5,𝔽₂)×D₇₃	—	2	16	no	—
32	C₂×#41×D₇₃	C₂²	1	3	yes	—
33	C₂×#41×D₇₃	C₂²	1	2	yes	—
34	C₂×#41×D₇₃	C₂²	1	1	yes	characteristic
35	C₂×#41×D₇₃	C₂²	1	3	yes	complemented
36	C₂×#41×D₇₃	C₂²	1	6	yes	complemented
37	C₂²×Q₈×D₇₃	C₂²	1	3	yes	complemented
38	C₂²×Q₈×D₇₃	C₂²	1	2	yes	complemented
39	C₂²×D₄×D₇₃	C₂²	1	3	yes	—
40	C₂²×D₄×D₇₃	C₂²	1	6	yes	—
41	#17989249	C₂²	1	4	yes	complemented
42	#17989248	C₂²	1	4	yes	complemented
43	#17989247	C₂²	1	12	yes	complemented
44	#17989246	C₂²	1	12	yes	complemented
45	#17989245	C₂²	1	12	yes	complemented
46	#17989244	C₂²	1	4	yes	complemented
47	#17989243	C₂²	1	12	yes	complemented
48	#17989234	C₂²	1	12	yes	complemented
49	#17989233	C₂²	1	12	yes	complemented
50	#17989232	C₂²	1	12	yes	complemented
51	#17989231	C₂²	1	12	yes	complemented
52	#17989230	C₂²	1	12	yes	complemented
53	#17989229	C₂²	1	24	yes	complemented
54	#17989228	C₂²	1	12	yes	complemented
55	#17989227	C₂²	1	24	yes	complemented
56	#17989226	C₂²	1	24	yes	complemented
57	#17989225	C₂²	1	12	yes	complemented
58	#17989224	C₂²	1	24	yes	complemented
59	#17989163	C₂²	1	3	yes	complemented
60	#17989162	C₂²	1	6	yes	complemented
61	#17989161	C₂²	1	3	yes	complemented
62	#17989160	C₂²	1	12	yes	complemented
63	#17989159	C₂²	1	12	yes	complemented
64	#17989158	C₂²	1	3	yes	complemented
65	#17989157	C₂²	1	6	yes	complemented
66	#17989156	C₂²	1	3	yes	complemented
67	#17989155	C₂²	1	6	yes	complemented
68	#17989154	C₂²	1	3	yes	complemented
69	#17989153	C₂²	1	12	yes	complemented
70	#17989152	C₂²	1	12	yes	complemented
71	#17989151	C₂²	1	3	yes	complemented
72	#17989150	C₂²	1	6	yes	complemented
73	#17989138	C₂²	1	3	yes	complemented
74	#17989137	C₂²	1	3	yes	complemented
75	#17989136	C₂²	1	3	yes	complemented
76	#17989136	C₂²	1	3	yes	complemented
77	#17989135	C₂²	1	3	yes	complemented
78	#17989134	C₂²	1	12	yes	complemented
79	#17989133	C₂²	1	3	yes	complemented
80	#17989133	C₂²	1	3	yes	complemented
81	#17989132	C₂²	1	12	yes	complemented
82	C₄⋊Q₈×D₇₃	C₂²	1	3	yes	complemented
83	#127×D₇₃	C₂²	1	3	yes	complemented
84	C₂×#14556580	C₂²	1	3	yes	complemented
85	C₂×#14556579	C₂²	1	3	yes	complemented
86	C₂×#14556578	C₂²	1	3	yes	complemented
87	C₂×#14556577	C₂²	1	12	yes	complemented
88	#124×D₇₃	C₂²	1	6	yes	complemented
89	#124×D₇₃	C₂²	1	12	yes	complemented
90	#124×D₇₃	C₂²	1	3	yes	complemented
91	#124×D₇₃	C₂²	1	1	yes	characteristic, complemented
92	#124×D₇₃	C₂²	1	12	yes	complemented
93	#124×D₇₃	C₂²	1	6	yes	complemented
94	#124×D₇₃	C₂²	1	6	yes	complemented
95	#123×D₇₃	C₂²	1	12	yes	complemented
96	C₂²⋊Q₈×D₇₃	C₂²	1	12	yes	complemented
97	#121×D₇₃	C₂²	1	12	yes	complemented
98	#121×D₇₃	C₂²	1	12	yes	complemented
99	#120×D₇₃	C₂²	1	12	yes	complemented
100	#41×Dic₇₃	C₂²	1	1	yes	characteristic, complemented
101	C₄×#11924029	C₂²	1	2	yes	complemented
102	C₄×#11924028	C₂²	1	3	yes	complemented
103	#17989055	C₂²	1	3	yes	complemented
104	C₄×#11924027	C₂²	1	6	yes	complemented
105	C₄×Q₈×D₇₃	C₂²	1	2	yes	complemented
106	C₄×D₄×D₇₃	C₂²	1	6	yes	complemented
107	C₄×D₄×D₇₃	C₂²	1	12	yes	complemented
108	#117×D₇₃	C₂²	1	3	yes	complemented
109	C₂×C₂²⋊C₄×D₇₃	C₂²	1	12	yes	complemented
110	C₂×C₄²×D₇₃	C₂²	1	3	yes	complemented
111	C₂×2₋¹⁺⁴×C₇₃	C₂²	1	1	yes	characteristic, complemented
112	C₂×H(5,𝔽₂)×C₇₃	C₂²	1	1	yes	characteristic, complemented
113	#548×C₇₃	C₂²	1	4	yes	complemented
114	#546×C₇₃	C₂²	1	12	yes	complemented
115	#536×C₇₃	C₂²	1	3	yes	complemented
116	#535×C₇₃	C₂²	1	3	yes	complemented
117	#532×C₇₃	C₂²	1	3	yes	complemented
118	C₂×#124×C₇₃	C₂²	1	3	yes	complemented
119	C₄×#41×C₇₃	C₂²	1	1	yes	characteristic, complemented
120	C₂⁴×D₇₃	C₂³	1	6	yes	—
121	#14556639	—	2	16	no	—
122	#14556639	—	2	24	no	—
123	#14556638	—	2	24	no	—
124	#14556638	—	2	48	no	—
125	#14556638	—	2	8	no	—
126	#14556637	—	2	16	no	—
127	#14556637	—	2	24	no	—
128	#14556637	—	2	8	no	—
129	#14556636	—	2	24	no	—
130	#14556636	—	2	48	no	—
131	C₂×#11924029	C₂³	1	3	yes	—
132	C₂×#11924029	C₂³	1	2	yes	—
133	C₂×#11924029	C₂³	1	1	yes	characteristic
134	C₂×#11924029	C₂³	1	3	yes	complemented
135	C₂×#11924029	C₂³	1	6	yes	complemented
136	C₂×#11924028	C₂³	1	3	yes	—
137	C₂×#11924028	C₂³	1	6	yes	—
138	C₂×#11924028	C₂³	1	6	yes	—
139	C₂×#11924028	C₂³	1	3	yes	—
140	C₂×#11924028	C₂³	1	3	yes	complemented
141	C₂×#11924028	C₂³	1	6	yes	complemented
142	C₂×#11924028	C₂³	1	12	yes	complemented
143	C₂×#11924028	C₂³	1	6	yes	complemented
144	C₂×#11924027	C₂³	1	6	yes	—
145	C₂×#11924027	C₂³	1	3	yes	—
146	C₂×#11924027	C₂³	1	6	yes	—
147	C₂×#11924027	C₂³	1	3	yes	—
148	C₂×#11924027	C₂³	1	6	yes	complemented
149	C₂×#11924027	C₂³	1	3	yes	complemented
150	C₂×#11924027	C₂³	1	12	yes	complemented
151	C₂×#11924027	C₂³	1	6	yes	complemented
152	#41×D₇₃	—	2	16	no	—
153	#41×D₇₃	—	2	48	no	—
154	#41×D₇₃	—	2	24	no	—
155	#41×D₇₃	—	2	24	no	—
156	#41×D₇₃	D₄	1	16	yes	complemented
157	C₂²×Dic₁₄₆	C₂³	1	3	yes	complemented
158	C₂²×Dic₁₄₆	C₂³	1	6	yes	complemented
159	C₂²×Dic₁₄₆	C₂³	1	6	yes	complemented
160	C₂×Q₈×D₇₃	—	2	16	no	—
161	C₂×Q₈×D₇₃	—	2	24	no	—
162	C₂×Q₈×D₇₃	C₂³	1	1	yes	characteristic
163	C₂×Q₈×D₇₃	C₂³	1	3	yes	—
164	C₂×Q₈×D₇₃	C₂³	1	6	yes	—
165	C₂×Q₈×D₇₃	C₂³	1	1	yes	characteristic
166	C₂×Q₈×D₇₃	C₂³	1	6	yes	complemented
167	C₂×Q₈×D₇₃	C₂³	1	6	yes	complemented
168	C₂×Q₈×D₇₃	C₂³	1	2	yes	complemented
169	C₂×Q₈×D₇₃	C₂³	1	6	yes	complemented
170	C₂²×D₂₉₂	C₂³	1	3	yes	—
171	C₂²×D₂₉₂	C₂³	1	6	yes	—
172	C₂²×C₂²⋊D₇₃	C₂³	1	6	yes	—
173	C₂²×C₂²⋊D₇₃	C₂³	1	12	yes	—
174	C₂×D₄×D₇₃	—	2	48	no	—
175	C₂×D₄×D₇₃	—	2	24	no	—
176	C₂×D₄×D₇₃	C₂³	1	1	yes	characteristic
177	C₂×D₄×D₇₃	C₂³	1	3	yes	—
178	C₂×D₄×D₇₃	C₂³	1	6	yes	—
179	C₂×D₄×D₇₃	C₂³	1	6	yes	—
180	C₂×D₄×D₇₃	C₂³	1	6	yes	—
181	C₂×D₄×D₇₃	C₂³	1	6	yes	—
182	C₂×D₄×D₇₃	C₂³	1	6	yes	—
183	C₂×D₄×D₇₃	C₂³	1	12	yes	—
184	C₂×D₄×D₇₃	C₂³	1	6	yes	—
185	C₂×D₄×D₇₃	C₂³	1	6	yes	—
186	C₂×D₄×D₇₃	C₂³	1	12	yes	—
187	C₂×D₄×D₇₃	C₂³	1	3	yes	—
188	C₂²×C₄×D₇₃	C₂³	1	6	yes	—
189	C₂²×C₄×D₇₃	C₂³	1	6	yes	—
190	C₂²×C₄×D₇₃	C₂³	1	6	yes	—
191	C₂²×C₄×D₇₃	C₂³	1	6	yes	—
192	C₂²×C₄×D₇₃	C₂³	1	3	yes	—
193	#14556591	C₂³	1	3	yes	complemented
194	#14556590	C₂³	1	12	yes	complemented
195	#14556589	C₂³	1	3	yes	complemented
196	#14556589	C₂³	1	3	yes	complemented
197	#14556588	C₂³	1	3	yes	complemented
198	#14556587	C₂³	1	12	yes	complemented
199	#14556587	C₂³	1	3	yes	complemented
200	#14556587	C₂³	1	3	yes	complemented
201	#14556580	C₂³	1	1	yes	characteristic, complemented
202	#14556580	C₂³	1	3	yes	complemented
203	#14556580	C₂³	1	6	yes	complemented
204	#14556580	C₂³	1	12	yes	complemented
205	#14556579	C₂³	1	1	yes	characteristic, complemented
206	#14556579	C₂³	1	3	yes	complemented
207	#14556579	C₂³	1	6	yes	complemented
208	#14556579	C₂³	1	12	yes	complemented
209	#14556578	C₂³	1	1	yes	characteristic, complemented
210	#14556578	C₂³	1	3	yes	complemented
211	#14556578	C₂³	1	6	yes	complemented
212	#14556578	C₂³	1	12	yes	complemented
213	#14556577	C₂³	1	4	yes	complemented
214	#14556577	C₂³	1	12	yes	complemented
215	#14556577	C₂³	1	24	yes	complemented
216	#14556577	C₂³	1	24	yes	complemented
217	#14556577	C₂³	1	24	yes	complemented
218	#14556576	C₂³	1	24	yes	complemented
219	#14556575	C₂³	1	12	yes	complemented
220	#14556574	C₂³	1	12	yes	complemented
221	#14556573	C₂³	1	24	yes	complemented
222	#14556572	C₂³	1	12	yes	complemented
223	#14556571	C₂³	1	12	yes	complemented
224	#14556570	C₂³	1	12	yes	complemented
225	#14556569	C₂³	1	24	yes	complemented
226	#14556568	C₂³	1	24	yes	complemented
227	#14556567	C₂³	1	12	yes	complemented
228	#14556566	C₂³	1	12	yes	complemented
229	#14556566	C₂³	1	12	yes	complemented
230	#14556565	C₂³	1	12	yes	complemented
231	#14556565	C₂³	1	12	yes	complemented
232	#14556564	C₂³	1	12	yes	complemented
233	#14556564	C₂³	1	12	yes	complemented
234	#14556564	C₂³	1	24	yes	complemented
235	#14556563	C₂³	1	12	yes	complemented
236	#14556563	C₂³	1	12	yes	complemented
237	#14556563	C₂³	1	24	yes	complemented
238	#14556562	C₂³	1	12	yes	complemented
239	#14556562	C₂³	1	12	yes	complemented
240	#14556561	C₂³	1	12	yes	complemented
241	#14556561	C₂³	1	24	yes	complemented
242	#14556560	C₂³	1	12	yes	complemented
243	#14556559	C₂³	1	24	yes	complemented
244	#14556559	C₂³	1	12	yes	complemented
245	Q₈×Dic₇₃	C₂³	1	2	yes	complemented
246	C₄×Dic₁₄₆	C₂³	1	6	yes	complemented
247	#14556556	C₂³	1	6	yes	complemented
248	C₄×D₂₉₂	C₂³	1	12	yes	complemented
249	C₄×D₂₉₂	C₂³	1	6	yes	complemented
250	D₄×Dic₇₃	C₂³	1	12	yes	complemented
251	D₄×Dic₇₃	C₂³	1	6	yes	complemented
252	#14556553	C₂³	1	12	yes	complemented
253	#14556553	C₂³	1	6	yes	complemented
254	C₄×C₂²⋊D₇₃	C₂³	1	12	yes	complemented
255	C₄×C₂²⋊D₇₃	C₂³	1	12	yes	complemented
256	C₄×C₂²⋊D₇₃	C₂³	1	12	yes	complemented
257	#14556551	C₂³	1	12	yes	complemented
258	#14556551	C₂³	1	12	yes	complemented
259	#14556551	C₂³	1	12	yes	complemented
260	#14556550	C₂³	1	3	yes	complemented
261	#14556549	C₂³	1	6	yes	complemented
262	#14556548	C₂³	1	6	yes	complemented
263	#14556547	C₂³	1	6	yes	complemented
264	C₄⋊C₄×D₇₃	C₂³	1	12	yes	—
265	C₄⋊C₄×D₇₃	C₂³	1	6	yes	—
266	C₂×C₂²⋊Dic₇₃	C₂³	1	12	yes	complemented
267	C₂×#11924005	C₂³	1	12	yes	complemented
268	C₂×#11924005	C₂³	1	12	yes	complemented
269	C₂²⋊C₄×D₇₃	C₂³	1	12	yes	—
270	C₂²⋊C₄×D₇₃	C₂³	1	24	yes	—
271	C₂²⋊C₄×D₇₃	C₂³	1	6	yes	—
272	C₂²⋊C₄×D₇₃	C₂³	1	4	yes	—
273	C₂²⋊C₄×D₇₃	C₂³	1	24	yes	complemented
274	C₂²⋊C₄×D₇₃	C₂³	1	24	yes	complemented
275	C₂×C₄×Dic₇₃	C₂³	1	6	yes	complemented
276	C₂×C₄×Dic₇₃	C₂³	1	3	yes	complemented
277	C₄²×D₇₃	C₂³	1	3	yes	—
278	C₄²×D₇₃	C₂³	1	1	yes	characteristic
279	C₄²×D₇₃	C₂³	1	6	yes	—
280	C₄²×D₇₃	C₂³	1	6	yes	complemented
281	C₄²×D₇₃	C₂³	1	3	yes	complemented
282	C₄²×D₇₃	C₂³	1	3	yes	complemented
283	2₋¹⁺⁴×C₇₃	—	2	8	no	—
284	H(5,𝔽₂)×C₇₃	—	2	8	no	—
285	C₂×#41×C₇₃	C₂³	1	3	yes	—
286	C₂×#41×C₇₃	C₂³	1	2	yes	—
287	C₂×#41×C₇₃	C₂³	1	1	yes	characteristic
288	C₂×#41×C₇₃	C₂³	1	3	yes	complemented
289	C₂×#41×C₇₃	C₂³	1	6	yes	complemented
290	C₂²×Q₈×C₇₃	C₂³	1	3	yes	complemented
291	C₂²×Q₈×C₇₃	C₂³	1	2	yes	complemented
292	C₂²×D₄×C₇₃	C₂³	1	3	yes	—
293	C₂²×D₄×C₇₃	C₂³	1	6	yes	—
294	C₄⋊Q₈×C₇₃	C₂³	1	3	yes	complemented
295	#127×C₇₃	C₂³	1	3	yes	complemented
296	#124×C₇₃	C₂³	1	1	yes	characteristic, complemented
297	#124×C₇₃	C₂³	1	3	yes	complemented
298	#124×C₇₃	C₂³	1	6	yes	complemented
299	#124×C₇₃	C₂³	1	12	yes	complemented
300	#123×C₇₃	C₂³	1	12	yes	complemented
301	C₂²⋊Q₈×C₇₃	C₂³	1	12	yes	complemented
302	#121×C₇₃	C₂³	1	12	yes	complemented
303	#121×C₇₃	C₂³	1	12	yes	complemented
304	#120×C₇₃	C₂³	1	12	yes	complemented
305	C₄×Q₈×C₇₃	C₂³	1	2	yes	complemented
306	C₄×D₄×C₇₃	C₂³	1	12	yes	complemented
307	C₄×D₄×C₇₃	C₂³	1	6	yes	complemented
308	#117×C₇₃	C₂³	1	3	yes	complemented
309	C₂×C₂²⋊C₄×C₇₃	C₂³	1	12	yes	complemented
310	C₂×C₄²×C₇₃	C₂³	1	3	yes	complemented
311	C₂³×D₇₃	—	2	24	no	—
312	C₂³×D₇₃	—	4	24	no	—
313	C₂³×D₇₃	C₂⁴	1	6	yes	—
314	C₂³×D₇₃	C₂⁴	1	2	yes	—
315	C₂³×D₇₃	C₂⁴	1	3	yes	—
316	C₂³×D₇₃	C₂⁴	1	12	yes	—
317	C₂³×D₇₃	C₂⁴	1	6	yes	—
318	#11924029	—	2	8	no	—
319	#11924029	—	2	24	no	—
320	#11924029	—	2	12	no	—
321	#11924029	—	2	12	no	—
322	#11924029	C₂×D₄	1	8	yes	complemented
323	#11924028	—	2	12	no	—
324	#11924028	—	2	12	no	—
325	#11924028	—	2	48	no	—
326	#11924028	—	2	24	no	—
327	#11924028	—	2	24	no	—
328	#11924028	—	2	24	no	—
329	#11924028	—	2	24	no	—
330	#11924028	C₂×D₄	1	24	yes	complemented
331	#11924027	—	2	24	no	—
332	#11924027	—	2	48	no	—
333	#11924027	—	2	24	no	—
334	#11924027	—	2	24	no	—
335	#11924027	—	2	12	no	—
336	#11924027	—	2	12	no	—
337	#11924027	—	2	24	no	—
338	#11924027	C₂×D₄	1	24	yes	complemented
339	C₂×Dic₁₄₆	—	2	12	no	—
340	C₂×Dic₁₄₆	—	2	24	no	—
341	C₂×Dic₁₄₆	—	2	24	no	—
342	C₂×Dic₁₄₆	C₂⁴	1	12	yes	—
343	C₂×Dic₁₄₆	C₂⁴	1	6	yes	—
344	C₂×Dic₁₄₆	C₂⁴	1	6	yes	—
345	C₂×Dic₁₄₆	C₂⁴	1	2	yes	—
346	C₂×Dic₁₄₆	C₂⁴	1	3	yes	—
347	C₂×Dic₁₄₆	C₂⁴	1	1	yes	characteristic
348	C₂×Dic₁₄₆	C₂⁴	1	3	yes	—
349	Q₈×D₇₃	—	2	8	no	—
350	Q₈×D₇₃	—	2	24	no	—
351	Q₈×D₇₃	—	2	12	no	—
352	Q₈×D₇₃	—	2	24	no	—
353	Q₈×D₇₃	—	2	24	no	—
354	Q₈×D₇₃	—	2	4	no	—
355	Q₈×D₇₃	—	2	24	no	—
356	Q₈×D₇₃	C₂×D₄	1	8	yes	—
357	C₂×D₂₉₂	—	2	12	no	—
358	C₂×D₂₉₂	—	2	24	no	—
359	C₂×D₂₉₂	C₂⁴	1	6	yes	—
360	C₂×D₂₉₂	C₂⁴	1	6	yes	—
361	C₂×D₂₉₂	C₂⁴	1	6	yes	—
362	C₂×D₂₉₂	C₂⁴	1	3	yes	—
363	C₂×D₂₉₂	C₂⁴	1	1	yes	characteristic
364	C₂×D₂₉₂	C₂⁴	1	12	yes	—
365	C₂×D₂₉₂	C₂⁴	1	3	yes	—
366	C₂×C₂²⋊D₇₃	—	2	48	no	—
367	C₂×C₂²⋊D₇₃	—	2	24	no	—
368	C₂×C₂²⋊D₇₃	C₂⁴	1	6	yes	—
369	C₂×C₂²⋊D₇₃	C₂⁴	1	6	yes	—
370	C₂×C₂²⋊D₇₃	C₂⁴	1	6	yes	—
371	C₂×C₂²⋊D₇₃	C₂⁴	1	12	yes	—
372	C₂×C₂²⋊D₇₃	C₂⁴	1	6	yes	—
373	C₂×C₂²⋊D₇₃	C₂⁴	1	6	yes	—
374	C₂×C₂²⋊D₇₃	C₂⁴	1	2	yes	—
375	C₂×C₂²⋊D₇₃	C₂⁴	1	12	yes	—
376	C₂×C₂²⋊D₇₃	C₂⁴	1	12	yes	—
377	C₂×C₂²⋊D₇₃	C₂⁴	1	6	yes	—
378	D₄×D₇₃	—	2	24	no	—
379	D₄×D₇₃	—	2	24	no	—
380	D₄×D₇₃	—	2	24	no	—
381	D₄×D₇₃	—	2	48	no	—
382	D₄×D₇₃	—	2	24	no	—
383	D₄×D₇₃	—	2	24	no	—
384	D₄×D₇₃	—	2	12	no	—
385	D₄×D₇₃	—	2	24	no	—
386	D₄×D₇₃	—	2	24	no	—
387	D₄×D₇₃	—	2	4	no	—
388	D₄×D₇₃	—	4	24	no	—
389	D₄×D₇₃	C₂×D₄	1	24	yes	—
390	C₂²×Dic₇₃	C₂⁴	1	6	yes	—
391	C₂²×Dic₇₃	C₂⁴	1	6	yes	—
392	C₂²×Dic₇₃	C₂⁴	1	6	yes	—
393	C₂²×Dic₇₃	C₂⁴	1	6	yes	—
394	C₂²×Dic₇₃	C₂⁴	1	3	yes	—
395	C₂×C₄×D₇₃	—	2	24	no	—
396	C₂×C₄×D₇₃	—	2	24	no	—
397	C₂×C₄×D₇₃	—	2	24	no	—
398	C₂×C₄×D₇₃	—	4	12	no	—
399	C₂×C₄×D₇₃	C₂×D₄	1	24	yes	—
400	C₂×C₄×D₇₃	C₂⁴	1	2	yes	—
401	C₂×C₄×D₇₃	C₂⁴	1	6	yes	—
402	C₂×C₄×D₇₃	C₂⁴	1	6	yes	—
403	C₂×C₄×D₇₃	C₂⁴	1	2	yes	—
404	C₂×C₄×D₇₃	C₂⁴	1	12	yes	—
405	C₂×C₄×D₇₃	C₂⁴	1	6	yes	—
406	C₂×C₄×D₇₃	C₂⁴	1	6	yes	—
407	C₂×C₄×D₇₃	C₂⁴	1	6	yes	—
408	C₂×C₄×D₇₃	C₂⁴	1	6	yes	—
409	C₂×C₄×D₇₃	C₂⁴	1	6	yes	—
410	C₂×C₄×D₇₃	C₂⁴	1	6	yes	—
411	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
412	C₂×C₄×D₇₃	C₂⁴	1	3	yes	—
413	C₂×C₄×D₇₃	C₂⁴	1	3	yes	—
414	C₂×C₄×D₇₃	C₂⁴	1	3	yes	—
415	C₄⋊Dic₇₃	C₂⁴	1	6	yes	—
416	C₄⋊Dic₇₃	C₂⁴	1	12	yes	—
417	#11924007	C₂⁴	1	12	yes	—
418	#11924007	C₂⁴	1	12	yes	—
419	#11924007	C₂⁴	1	12	yes	—
420	C₂²⋊Dic₇₃	C₂⁴	1	12	yes	—
421	C₂²⋊Dic₇₃	C₂⁴	1	24	yes	—
422	C₂²⋊Dic₇₃	C₂⁴	1	6	yes	—
423	C₂²⋊Dic₇₃	C₂⁴	1	4	yes	—
424	#11924005	C₂⁴	1	12	yes	—
425	#11924005	C₂⁴	1	12	yes	—
426	#11924005	C₂⁴	1	24	yes	—
427	#11924005	C₂⁴	1	24	yes	—
428	#11924005	C₂⁴	1	12	yes	—
429	#11924005	C₂⁴	1	4	yes	—
430	#11924005	C₂⁴	1	4	yes	—
431	C₄×Dic₇₃	C₂⁴	1	2	yes	—
432	C₄×Dic₇₃	C₂⁴	1	1	yes	characteristic
433	C₄×Dic₇₃	C₂⁴	1	6	yes	—
434	C₄×Dic₇₃	C₂⁴	1	3	yes	—
435	C₄×Dic₇₃	C₂⁴	1	6	yes	—
436	C₄×Dic₇₃	C₂⁴	1	6	yes	—
437	C₄×Dic₇₃	C₂⁴	1	6	yes	—
438	C₂⁴×C₇₃	C₂⁴	1	6	yes	—
439	#41×C₇₃	—	2	8	no	—
440	#41×C₇₃	—	2	24	no	—
441	#41×C₇₃	—	2	12	no	—
442	#41×C₇₃	—	2	12	no	—
443	#41×C₇₃	C₂×D₄	1	8	yes	complemented
444	C₂×Q₈×C₇₃	—	2	8	no	—
445	C₂×Q₈×C₇₃	—	2	12	no	—
446	C₂×Q₈×C₇₃	C₂⁴	1	6	yes	—
447	C₂×Q₈×C₇₃	C₂⁴	1	3	yes	—
448	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
449	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
450	C₂×D₄×C₇₃	—	2	24	no	—
451	C₂×D₄×C₇₃	—	2	12	no	—
452	C₂×D₄×C₇₃	C₂⁴	1	6	yes	—
453	C₂×D₄×C₇₃	C₂⁴	1	6	yes	—
454	C₂×D₄×C₇₃	C₂⁴	1	6	yes	—
455	C₂×D₄×C₇₃	C₂⁴	1	3	yes	—
456	C₂×D₄×C₇₃	C₂⁴	1	1	yes	characteristic
457	C₂×D₄×C₇₃	C₂⁴	1	12	yes	—
458	C₂×D₄×C₇₃	C₂⁴	1	3	yes	—
459	C₂²×C₄×C₇₃	C₂⁴	1	6	yes	—
460	C₂²×C₄×C₇₃	C₂⁴	1	6	yes	—
461	C₂²×C₄×C₇₃	C₂⁴	1	6	yes	—
462	C₂²×C₄×C₇₃	C₂⁴	1	6	yes	—
463	C₂²×C₄×C₇₃	C₂⁴	1	3	yes	—
464	C₄⋊C₄×C₇₃	C₂⁴	1	6	yes	—
465	C₄⋊C₄×C₇₃	C₂⁴	1	12	yes	—
466	C₂²⋊C₄×C₇₃	C₂⁴	1	12	yes	—
467	C₂²⋊C₄×C₇₃	C₂⁴	1	24	yes	—
468	C₂²⋊C₄×C₇₃	C₂⁴	1	6	yes	—
469	C₂²⋊C₄×C₇₃	C₂⁴	1	4	yes	—
470	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
471	C₄²×C₇₃	C₂⁴	1	3	yes	—
472	C₄²×C₇₃	C₂⁴	1	6	yes	—
473	C₂³×C₇₃	—	2	12	no	—
474	C₂³×C₇₃	—	4	12	no	—
475	C₂³×C₇₃	C₂⁵	1	6	yes	—
476	C₂³×C₇₃	C₂⁵	1	2	yes	—
477	C₂³×C₇₃	C₂⁵	1	3	yes	—
478	C₂²×D₇₃	—	2	12	no	—
479	C₂²×D₇₃	—	2	12	no	—
480	C₂²×D₇₃	—	2	4	no	—
481	C₂²×D₇₃	—	2	12	no	—
482	C₂²×D₇₃	—	2	8	no	—
483	C₂²×D₇₃	—	2	24	no	—
484	C₂²×D₇₃	—	2	24	no	—
485	C₂²×D₇₃	—	4	24	no	—
486	C₂²×D₇₃	—	4	12	no	—
487	C₂²×D₇₃	—	8	48	no	—
488	C₂²×D₇₃	C₂²×D₄	1	12	yes	—
489	C₂²×D₇₃	C₂⁵	1	6	yes	—
490	C₂²×D₇₃	C₂⁵	1	2	yes	—
491	C₂²×D₇₃	C₂⁵	1	3	yes	—
492	C₂²×D₇₃	C₂⁵	1	1	yes	characteristic
493	Q₈×C₇₃	—	2	6	no	—
494	Q₈×C₇₃	—	2	12	no	—
495	Q₈×C₇₃	—	2	2	no	—
496	Q₈×C₇₃	C₂²×D₄	1	4	yes	—
497	D₄×C₇₃	—	2	12	no	—
498	D₄×C₇₃	—	2	12	no	—
499	D₄×C₇₃	—	2	6	no	—
500	D₄×C₇₃	—	2	12	no	—
501	D₄×C₇₃	—	2	2	no	—
502	D₄×C₇₃	—	4	12	no	—
503	D₄×C₇₃	C₂²×D₄	1	12	yes	—
504	C₂×C₄×C₇₃	—	2	12	no	—
505	C₂×C₄×C₇₃	—	2	12	no	—
506	C₂×C₄×C₇₃	—	2	12	no	—
507	C₂×C₄×C₇₃	—	4	6	no	—
508	C₂×C₄×C₇₃	C₂²×D₄	1	12	yes	—
509	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
510	C₂×C₄×C₇₃	C₂⁵	1	6	yes	—
511	C₂×C₄×C₇₃	C₂⁵	1	6	yes	—
512	C₂×C₄×C₇₃	C₂⁵	1	2	yes	—
513	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
514	C₂×C₄×C₇₃	C₂⁵	1	3	yes	—
515	C₂²⋊D₇₃	—	2	12	no	—
516	C₂²⋊D₇₃	—	2	12	no	—
517	C₂²⋊D₇₃	—	2	12	no	—
518	C₂²⋊D₇₃	—	2	12	no	—
519	C₂²⋊D₇₃	—	2	12	no	—
520	C₂²⋊D₇₃	—	2	24	no	—
521	C₂²⋊D₇₃	—	2	4	no	—
522	C₂²⋊D₇₃	—	4	12	no	—
523	C₂²⋊D₇₃	—	4	12	no	—
524	C₂²⋊D₇₃	C₂²×D₄	1	24	yes	—
525	C₂×Dic₇₃	—	2	12	no	—
526	C₂×Dic₇₃	—	2	12	no	—
527	C₂×Dic₇₃	—	2	12	no	—
528	C₂×Dic₇₃	—	4	6	no	—
529	C₂×Dic₇₃	C₂²×D₄	1	12	yes	—
530	C₂×Dic₇₃	C₂⁵	1	2	yes	—
531	C₂×Dic₇₃	C₂⁵	1	6	yes	—
532	C₂×Dic₇₃	C₂⁵	1	6	yes	—
533	C₂×Dic₇₃	C₂⁵	1	2	yes	—
534	C₂×Dic₇₃	C₂⁵	1	1	yes	characteristic
535	C₂×Dic₇₃	C₂⁵	1	3	yes	—
536	D₂₉₂	—	2	12	no	—
537	D₂₉₂	—	2	12	no	—
538	D₂₉₂	—	2	6	no	—
539	D₂₉₂	—	2	12	no	—
540	D₂₉₂	—	2	2	no	—
541	D₂₉₂	—	4	12	no	—
542	D₂₉₂	C₂²×D₄	1	12	yes	—
543	C₄×D₇₃	—	2	4	no	—
544	C₄×D₇₃	—	2	12	no	—
545	C₄×D₇₃	—	2	24	no	—
546	C₄×D₇₃	—	2	4	no	—
547	C₄×D₇₃	—	2	12	no	—
548	C₄×D₇₃	—	2	12	no	—
549	C₄×D₇₃	—	2	12	no	—
550	C₄×D₇₃	—	2	12	no	—
551	C₄×D₇₃	—	2	12	no	—
552	C₄×D₇₃	—	4	6	no	—
553	C₄×D₇₃	—	4	6	no	—
554	C₄×D₇₃	C₂²×D₄	1	12	yes	—
555	C₄×D₇₃	C₂²×D₄	1	4	yes	—
556	C₄×D₇₃	C₂²×D₄	1	12	yes	—
557	C₄×D₇₃	C₂²×D₄	1	12	yes	—
558	Dic₁₄₆	—	2	6	no	—
559	Dic₁₄₆	—	2	12	no	—
560	Dic₁₄₆	—	2	2	no	—
561	Dic₁₄₆	—	2	12	no	—
562	Dic₁₄₆	—	2	24	no	—
563	Dic₁₄₆	—	2	4	no	—
564	Dic₁₄₆	C₂²×D₄	1	12	yes	—
565	C₂²×C₇₃	—	2	6	no	—
566	C₂²×C₇₃	—	2	2	no	—
567	C₂²×C₇₃	—	2	6	no	—
568	C₂²×C₇₃	—	2	4	no	—
569	C₂²×C₇₃	—	2	12	no	—
570	C₂²×C₇₃	—	8	12	no	—
571	C₂²×C₇₃	C₂³×D₄	1	6	yes	—
572	C₂²×C₇₃	C₂⁶	1	1	yes	characteristic
573	C₂×D₇₃	—	2	6	no	—
574	C₂×D₇₃	—	2	24	no	—
575	C₂×D₇₃	—	2	2	no	—
576	C₂×D₇₃	—	2	6	no	—
577	C₂×D₇₃	—	2	4	no	—
578	C₂×D₇₃	—	2	12	no	—
579	C₂×D₇₃	—	4	8	no	—
580	C₂×D₇₃	—	4	24	no	—
581	C₂×D₇₃	—	8	24	no	—
582	C₂×D₇₃	—	8	12	no	—
583	C₂×D₇₃	C₂³×D₄	1	6	yes	—
584	C₂×D₇₃	C₂³×D₄	1	2	yes	—
585	C₂×D₇₃	#585	1	4	yes	—
586	C₄×C₇₃	—	2	6	no	—
587	C₄×C₇₃	—	2	2	no	—
588	C₄×C₇₃	—	2	2	no	—
589	C₄×C₇₃	—	2	6	no	—
590	C₄×C₇₃	C₂³×D₄	1	2	yes	—
591	C₄×C₇₃	C₂³×D₄	1	6	yes	—
592	Dic₇₃	—	2	6	no	—
593	Dic₇₃	—	2	2	no	—
594	Dic₇₃	—	2	2	no	—
595	Dic₇₃	—	2	6	no	—
596	Dic₇₃	C₂³×D₄	1	2	yes	—
597	Dic₇₃	C₂³×D₄	1	6	yes	—
598	C₂×#3500	—	73	1	no	maximal, Sylow
599	C₂×C₇₃	—	2	6	no	—
600	C₂×C₇₃	—	4	6	no	—
601	C₂×C₇₃	—	4	2	no	—
602	C₂×C₇₃	C₂⁴×D₄	1	1	yes	characteristic
603	C₂×C₇₃	C₂×#585	1	2	yes	—
604	D₇₃	—	2	6	no	—
605	D₇₃	—	4	2	no	—
606	D₇₃	—	4	6	no	—
607	D₇₃	#3500	1	4	yes	direct product factor
608	C₂²×2₋¹⁺⁴	—	73	1	no	—
609	C₂²×H(5,𝔽₂)	—	73	1	no	—
610	#3500	—	73	1	no	—
611	#3500	—	73	1	no	—
612	#3500	—	73	4	no	—
613	#3500	—	73	12	no	—
614	#3500	—	73	3	no	—
615	#3500	—	73	3	no	—
616	#3500	—	73	3	no	—
617	#3500	—	73	3	no	—
618	#3500	—	73	1	no	—
619	#3500	D₇₃	1	1	yes	characteristic, direct product factor
620	C₂×#548	—	73	4	no	—
621	C₂×#546	—	73	12	no	—
622	C₂×#536	—	73	3	no	—
623	C₂×#535	—	73	3	no	—
624	C₂×#532	—	73	3	no	—
625	C₂²×#124	—	73	3	no	—
626	C₂×C₄×#41	—	73	1	no	—
627	C₇₃	C₂×#3500	1	1	yes	characteristic, complemented, Sylow
628	C₂×2₋¹⁺⁴	—	73	1	no	—
629	C₂×2₋¹⁺⁴	—	73	3	no	—
630	C₂×2₋¹⁺⁴	—	73	6	no	—
631	C₂×2₋¹⁺⁴	—	73	2	no	—
632	C₂×2₋¹⁺⁴	—	73	3	no	—
633	C₂×2₋¹⁺⁴	—	146	16	no	—
634	C₂×2₋¹⁺⁴	C₂×D₇₃	1	1	yes	characteristic, complemented
635	C₂×H(5,𝔽₂)	—	73	2	no	—
636	C₂×H(5,𝔽₂)	—	73	3	no	—
637	C₂×H(5,𝔽₂)	—	73	1	no	—
638	C₂×H(5,𝔽₂)	—	73	6	no	—
639	C₂×H(5,𝔽₂)	—	73	3	no	—
640	C₂×H(5,𝔽₂)	—	146	16	no	—
641	C₂×H(5,𝔽₂)	C₂×D₇₃	1	1	yes	characteristic, complemented
642	C₂²×#41	—	73	1	no	—
643	C₂²×#41	—	73	3	no	—
644	C₂²×#41	—	73	2	no	—
645	C₂²×#41	—	73	3	no	—
646	C₂²×#41	—	73	6	no	—
647	C₂³×Q₈	—	73	3	no	—
648	C₂³×Q₈	—	73	2	no	—
649	C₂³×D₄	—	73	3	no	—
650	C₂³×D₄	—	73	6	no	—
651	#548	—	73	4	no	—
652	#548	—	73	4	no	—
653	#548	—	73	12	no	—
654	#548	—	73	12	no	—
655	#548	—	73	12	no	—
656	#548	—	73	4	no	—
657	#548	—	73	12	no	—
658	#548	C₂×D₇₃	1	4	yes	complemented
659	#546	—	73	12	no	—
660	#546	—	73	12	no	—
661	#546	—	73	12	no	—
662	#546	—	73	24	no	—
663	#546	—	73	12	no	—
664	#546	—	73	24	no	—
665	#546	—	73	12	no	—
666	#546	—	73	24	no	—
667	#546	—	73	12	no	—
668	#546	—	73	12	no	—
669	#546	—	73	24	no	—
670	#546	C₂×D₇₃	1	12	yes	complemented
671	#536	—	73	3	no	—
672	#536	—	73	3	no	—
673	#536	—	73	6	no	—
674	#536	—	73	6	no	—
675	#536	—	73	12	no	—
676	#536	—	73	12	no	—
677	#536	—	73	3	no	—
678	#536	C₂×D₇₃	1	3	yes	complemented
679	#535	—	73	3	no	—
680	#535	—	73	3	no	—
681	#535	—	73	6	no	—
682	#535	—	73	6	no	—
683	#535	—	73	12	no	—
684	#535	—	73	12	no	—
685	#535	—	73	3	no	—
686	#535	C₂×D₇₃	1	3	yes	complemented
687	#532	—	73	3	no	—
688	#532	—	73	3	no	—
689	#532	—	73	3	no	—
690	#532	—	73	3	no	—
691	#532	—	73	3	no	—
692	#532	—	73	3	no	—
693	#532	—	73	12	no	—
694	#532	—	73	12	no	—
695	#532	—	73	3	no	—
696	#532	C₂×D₇₃	1	3	yes	complemented
697	C₂×C₄⋊Q₈	—	73	3	no	—
698	C₂×#127	—	73	3	no	—
699	C₂×#124	—	73	3	no	—
700	C₂×#124	—	73	3	no	—
701	C₂×#124	—	73	3	no	—
702	C₂×#124	—	73	6	no	—
703	C₂×#124	—	73	12	no	—
704	C₂×#124	—	73	6	no	—
705	C₂×#124	—	73	6	no	—
706	C₂×#124	—	73	12	no	—
707	C₂×#124	—	73	1	no	—
708	C₂×#124	—	73	12	no	—
709	C₂×#124	—	73	3	no	—
710	C₂×#124	C₂×D₇₃	1	3	yes	complemented
711	C₂×#123	—	73	12	no	—
712	C₂×C₂²⋊Q₈	—	73	12	no	—
713	C₂×#121	—	73	12	no	—
714	C₂×#121	—	73	12	no	—
715	C₂×#120	—	73	12	no	—
716	C₄×#41	—	73	1	no	—
717	C₄×#41	—	73	2	no	—
718	C₄×#41	—	73	6	no	—
719	C₄×#41	—	73	3	no	—
720	C₄×#41	—	73	3	no	—
721	C₄×#41	C₂×D₇₃	1	1	yes	characteristic, complemented
722	C₂×C₄×Q₈	—	73	2	no	—
723	C₂×C₄×D₄	—	73	6	no	—
724	C₂×C₄×D₄	—	73	12	no	—
725	C₂×#117	—	73	3	no	—
726	C₂²×C₂²⋊C₄	—	73	12	no	—
727	C₂²×C₄²	—	73	3	no	—
728	C₂⁵	—	73	6	no	—
729	2₋¹⁺⁴	—	2	8	no	—
730	2₋¹⁺⁴	—	146	16	no	—
731	2₋¹⁺⁴	—	146	24	no	—
732	2₋¹⁺⁴	—	146	48	no	—
733	2₋¹⁺⁴	—	146	24	no	—
734	2₋¹⁺⁴	—	146	8	no	—
735	H(5,𝔽₂)	—	2	8	no	—
736	H(5,𝔽₂)	—	146	48	no	—
737	H(5,𝔽₂)	—	146	24	no	—
738	H(5,𝔽₂)	—	146	16	no	—
739	H(5,𝔽₂)	—	146	24	no	—
740	H(5,𝔽₂)	—	146	8	no	—
741	C₂×#41	—	73	16	no	—
742	C₂×#41	—	73	1	no	—
743	C₂×#41	—	73	3	no	—
744	C₂×#41	—	73	3	no	—
745	C₂×#41	—	73	6	no	—
746	C₂×#41	—	73	2	no	—
747	C₂×#41	—	73	3	no	—
748	C₂×#41	—	73	6	no	—
749	C₂×#41	—	73	3	no	—
750	C₂×#41	—	73	6	no	—
751	C₂×#41	—	73	3	no	—
752	C₂×#41	—	73	6	no	—
753	C₂×#41	—	73	12	no	—
754	C₂×#41	—	73	6	no	—
755	C₂×#41	—	73	3	no	—
756	C₂×#41	—	73	6	no	—
757	C₂×#41	—	73	3	no	—
758	C₂×#41	—	73	6	no	—
759	C₂×#41	—	73	3	no	—
760	C₂×#41	—	73	6	no	—
761	C₂×#41	—	73	12	no	—
762	C₂×#41	—	73	6	no	—
763	C₂×#41	—	146	24	no	—
764	C₂×#41	—	146	24	no	—
765	C₂×#41	—	146	48	no	—
766	C₂×#41	—	146	16	no	—
767	C₂×#41	C₂²×D₇₃	1	3	yes	—
768	C₂×#41	C₂²×D₇₃	1	2	yes	—
769	C₂×#41	C₂²×D₇₃	1	1	yes	characteristic
770	C₂×#41	C₂²×D₇₃	1	3	yes	complemented
771	C₂×#41	C₂²×D₇₃	1	6	yes	complemented
772	C₂²×Q₈	—	73	1	no	—
773	C₂²×Q₈	—	73	6	no	—
774	C₂²×Q₈	—	73	3	no	—
775	C₂²×Q₈	—	73	6	no	—
776	C₂²×Q₈	—	73	6	no	—
777	C₂²×Q₈	—	73	1	no	—
778	C₂²×Q₈	—	73	6	no	—
779	C₂²×Q₈	—	73	2	no	—
780	C₂²×Q₈	—	73	6	no	—
781	C₂²×Q₈	—	73	3	no	—
782	C₂²×Q₈	—	73	6	no	—
783	C₂²×Q₈	—	146	24	no	—
784	C₂²×Q₈	—	146	16	no	—
785	C₂²×Q₈	C₂²×D₇₃	1	3	yes	complemented
786	C₂²×Q₈	C₂²×D₇₃	1	2	yes	complemented
787	C₂²×D₄	—	73	12	no	—
788	C₂²×D₄	—	73	3	no	—
789	C₂²×D₄	—	73	6	no	—
790	C₂²×D₄	—	73	12	no	—
791	C₂²×D₄	—	73	6	no	—
792	C₂²×D₄	—	73	6	no	—
793	C₂²×D₄	—	73	6	no	—
794	C₂²×D₄	—	73	3	no	—
795	C₂²×D₄	—	73	6	no	—
796	C₂²×D₄	—	73	6	no	—
797	C₂²×D₄	—	73	1	no	—
798	C₂²×D₄	—	73	12	no	—
799	C₂²×D₄	—	73	6	no	—
800	C₂²×D₄	—	73	6	no	—
801	C₂²×D₄	—	73	3	no	—
802	C₂²×D₄	—	73	6	no	—
803	C₂²×D₄	—	146	24	no	—
804	C₂²×D₄	—	146	48	no	—
805	C₂²×D₄	C₂²×D₇₃	1	3	yes	—
806	C₂²×D₄	C₂²×D₇₃	1	6	yes	—
807	C₂³×C₄	—	73	6	no	—
808	C₂³×C₄	—	73	3	no	—
809	C₂³×C₄	—	73	6	no	—
810	C₂³×C₄	—	73	6	no	—
811	C₂³×C₄	—	73	6	no	—
812	C₄⋊Q₈	—	73	3	no	—
813	C₄⋊Q₈	—	73	3	no	—
814	C₄⋊Q₈	—	73	12	no	—
815	C₄⋊Q₈	—	73	3	no	—
816	C₄⋊Q₈	C₂²×D₇₃	1	3	yes	complemented
817	#127	—	73	3	no	—
818	#127	—	73	3	no	—
819	#127	—	73	12	no	—
820	#127	—	73	3	no	—
821	#127	C₂²×D₇₃	1	3	yes	complemented
822	#124	—	73	3	no	—
823	#124	—	73	6	no	—
824	#124	—	73	12	no	—
825	#124	—	73	1	no	—
826	#124	—	73	3	no	—
827	#124	—	73	6	no	—
828	#124	—	73	12	no	—
829	#124	—	73	1	no	—
830	#124	—	73	12	no	—
831	#124	—	73	24	no	—
832	#124	—	73	24	no	—
833	#124	—	73	24	no	—
834	#124	—	73	4	no	—
835	#124	—	73	3	no	—
836	#124	—	73	6	no	—
837	#124	—	73	12	no	—
838	#124	—	73	1	no	—
839	#124	C₂²×D₇₃	1	3	yes	complemented
840	#124	C₂²×D₇₃	1	6	yes	complemented
841	#124	C₂²×D₇₃	1	12	yes	complemented
842	#124	C₂²×D₇₃	1	1	yes	characteristic, complemented
843	#123	—	73	12	no	—
844	#123	—	73	12	no	—
845	#123	—	73	24	no	—
846	#123	—	73	24	no	—
847	#123	—	73	12	no	—
848	#123	C₂²×D₇₃	1	12	yes	complemented
849	C₂²⋊Q₈	—	73	12	no	—
850	C₂²⋊Q₈	—	73	12	no	—
851	C₂²⋊Q₈	—	73	24	no	—
852	C₂²⋊Q₈	—	73	12	no	—
853	C₂²⋊Q₈	—	73	24	no	—
854	C₂²⋊Q₈	C₂²×D₇₃	1	12	yes	complemented
855	#121	—	73	12	no	—
856	#121	—	73	12	no	—
857	#121	—	73	12	no	—
858	#121	—	73	12	no	—
859	#121	—	73	24	no	—
860	#121	—	73	12	no	—
861	#121	—	73	12	no	—
862	#121	—	73	12	no	—
863	#121	—	73	12	no	—
864	#121	—	73	12	no	—
865	#121	—	73	12	no	—
866	#121	—	73	24	no	—
867	#121	C₂²×D₇₃	1	12	yes	complemented
868	#121	C₂²×D₇₃	1	12	yes	complemented
869	#120	—	73	12	no	—
870	#120	—	73	24	no	—
871	#120	—	73	12	no	—
872	#120	—	73	12	no	—
873	#120	—	73	24	no	—
874	#120	C₂²×D₇₃	1	12	yes	complemented
875	C₄×Q₈	—	73	2	no	—
876	C₄×Q₈	—	73	6	no	—
877	C₄×Q₈	—	73	6	no	—
878	C₄×Q₈	C₂²×D₇₃	1	2	yes	complemented
879	C₄×D₄	—	73	6	no	—
880	C₄×D₄	—	73	12	no	—
881	C₄×D₄	—	73	12	no	—
882	C₄×D₄	—	73	12	no	—
883	C₄×D₄	—	73	12	no	—
884	C₄×D₄	—	73	6	no	—
885	C₄×D₄	—	73	12	no	—
886	C₄×D₄	—	73	12	no	—
887	C₄×D₄	—	73	12	no	—
888	C₄×D₄	—	73	12	no	—
889	C₄×D₄	—	73	6	no	—
890	C₄×D₄	—	73	12	no	—
891	C₄×D₄	C₂²×D₇₃	1	6	yes	complemented
892	C₄×D₄	C₂²×D₇₃	1	12	yes	complemented
893	#117	—	73	3	no	—
894	#117	—	73	6	no	—
895	#117	—	73	6	no	—
896	#117	—	73	6	no	—
897	#117	C₂²×D₇₃	1	3	yes	complemented
898	C₂×C₄⋊C₄	—	73	6	no	—
899	C₂×C₄⋊C₄	—	73	12	no	—
900	C₂×C₂²⋊C₄	—	73	12	no	—
901	C₂×C₂²⋊C₄	—	73	12	no	—
902	C₂×C₂²⋊C₄	—	73	12	no	—
903	C₂×C₂²⋊C₄	—	73	12	no	—
904	C₂×C₂²⋊C₄	—	73	24	no	—
905	C₂×C₂²⋊C₄	—	73	24	no	—
906	C₂×C₂²⋊C₄	—	73	24	no	—
907	C₂×C₂²⋊C₄	—	73	6	no	—
908	C₂×C₂²⋊C₄	—	73	4	no	—
909	C₂×C₂²⋊C₄	C₂²×D₇₃	1	12	yes	complemented
910	C₂×C₄²	—	73	3	no	—
911	C₂×C₄²	—	73	6	no	—
912	C₂×C₄²	—	73	3	no	—
913	C₂×C₄²	—	73	6	no	—
914	C₂×C₄²	—	73	6	no	—
915	C₂×C₄²	—	73	3	no	—
916	C₂×C₄²	—	73	3	no	—
917	C₂×C₄²	—	73	1	no	—
918	C₂×C₄²	C₂²×D₇₃	1	3	yes	complemented
919	C₂⁴	—	292	24	no	—
920	C₂⁴	—	73	12	no	—
921	C₂⁴	—	73	6	no	—
922	C₂⁴	—	73	3	no	—
923	C₂⁴	—	73	6	no	—
924	C₂⁴	—	73	2	no	—
925	C₂⁴	—	146	24	no	—
926	C₂⁴	C₂³×D₇₃	1	6	yes	—
927	#41	—	2	8	no	—
928	#41	—	2	24	no	—
929	#41	—	2	12	no	—
930	#41	—	2	12	no	—
931	#41	—	73	8	no	—
932	#41	—	73	24	no	—
933	#41	—	73	24	no	—
934	#41	—	146	24	no	—
935	#41	—	146	24	no	—
936	#41	—	146	48	no	—
937	#41	—	146	24	no	—
938	#41	—	146	24	no	—
939	#41	—	146	24	no	—
940	#41	—	146	12	no	—
941	#41	—	146	24	no	—
942	#41	—	146	12	no	—
943	#41	—	146	12	no	—
944	#41	—	146	12	no	—
945	#41	—	146	48	no	—
946	#41	—	146	24	no	—
947	#41	—	146	24	no	—
948	#41	—	146	8	no	—
949	#41	—	146	24	no	—
950	#41	—	146	12	no	—
951	#41	—	146	12	no	—
952	#41	D₄×D₇₃	1	8	yes	complemented
953	C₂×Q₈	—	2	8	no	—
954	C₂×Q₈	—	2	12	no	—
955	C₂×Q₈	—	73	8	no	—
956	C₂×Q₈	—	73	3	no	—
957	C₂×Q₈	—	73	12	no	—
958	C₂×Q₈	—	73	6	no	—
959	C₂×Q₈	—	73	6	no	—
960	C₂×Q₈	—	73	3	no	—
961	C₂×Q₈	—	73	2	no	—
962	C₂×Q₈	—	73	1	no	—
963	C₂×Q₈	—	146	24	no	—
964	C₂×Q₈	—	146	24	no	—
965	C₂×Q₈	—	146	12	no	—
966	C₂×Q₈	—	146	24	no	—
967	C₂×Q₈	—	146	24	no	—
968	C₂×Q₈	—	146	24	no	—
969	C₂×Q₈	—	146	4	no	—
970	C₂×Q₈	—	146	24	no	—
971	C₂×Q₈	—	146	8	no	—
972	C₂×Q₈	—	146	12	no	—
973	C₂×Q₈	C₂³×D₇₃	1	6	yes	—
974	C₂×Q₈	C₂³×D₇₃	1	3	yes	—
975	C₂×Q₈	C₂³×D₇₃	1	1	yes	characteristic
976	C₂×Q₈	C₂³×D₇₃	1	1	yes	characteristic
977	C₂×D₄	—	2	24	no	—
978	C₂×D₄	—	2	12	no	—
979	C₂×D₄	—	292	24	no	—
980	C₂×D₄	—	73	12	no	—
981	C₂×D₄	—	73	12	no	—
982	C₂×D₄	—	73	6	no	—
983	C₂×D₄	—	73	24	no	—
984	C₂×D₄	—	73	6	no	—
985	C₂×D₄	—	73	6	no	—
986	C₂×D₄	—	73	6	no	—
987	C₂×D₄	—	73	6	no	—
988	C₂×D₄	—	73	12	no	—
989	C₂×D₄	—	73	6	no	—
990	C₂×D₄	—	73	2	no	—
991	C₂×D₄	—	73	12	no	—
992	C₂×D₄	—	73	3	no	—
993	C₂×D₄	—	73	6	no	—
994	C₂×D₄	—	73	6	no	—
995	C₂×D₄	—	73	6	no	—
996	C₂×D₄	—	73	3	no	—
997	C₂×D₄	—	73	1	no	—
998	C₂×D₄	—	146	24	no	—
999	C₂×D₄	—	146	12	no	—
1000	C₂×D₄	—	146	24	no	—
1001	C₂×D₄	—	146	24	no	—
1002	C₂×D₄	—	146	24	no	—
1003	C₂×D₄	—	146	4	no	—
1004	C₂×D₄	—	146	24	no	—
1005	C₂×D₄	—	146	48	no	—
1006	C₂×D₄	—	146	24	no	—
1007	C₂×D₄	—	146	24	no	—
1008	C₂×D₄	—	146	24	no	—
1009	C₂×D₄	—	146	48	no	—
1010	C₂×D₄	—	146	24	no	—
1011	C₂×D₄	—	146	12	no	—
1012	C₂×D₄	C₂³×D₇₃	1	6	yes	—
1013	C₂×D₄	C₂³×D₇₃	1	6	yes	—
1014	C₂×D₄	C₂³×D₇₃	1	6	yes	—
1015	C₂×D₄	C₂³×D₇₃	1	3	yes	—
1016	C₂×D₄	C₂³×D₇₃	1	1	yes	characteristic
1017	C₂×D₄	C₂³×D₇₃	1	12	yes	—
1018	C₂×D₄	C₂³×D₇₃	1	3	yes	—
1019	C₂²×C₄	—	292	12	no	—
1020	C₂²×C₄	—	73	6	no	—
1021	C₂²×C₄	—	73	6	no	—
1022	C₂²×C₄	—	73	6	no	—
1023	C₂²×C₄	—	73	3	no	—
1024	C₂²×C₄	—	73	24	no	—
1025	C₂²×C₄	—	73	1	no	—
1026	C₂²×C₄	—	73	3	no	—
1027	C₂²×C₄	—	73	3	no	—
1028	C₂²×C₄	—	73	3	no	—
1029	C₂²×C₄	—	73	6	no	—
1030	C₂²×C₄	—	73	6	no	—
1031	C₂²×C₄	—	73	6	no	—
1032	C₂²×C₄	—	73	2	no	—
1033	C₂²×C₄	—	73	6	no	—
1034	C₂²×C₄	—	73	6	no	—
1035	C₂²×C₄	—	73	12	no	—
1036	C₂²×C₄	—	73	2	no	—
1037	C₂²×C₄	—	73	6	no	—
1038	C₂²×C₄	—	73	6	no	—
1039	C₂²×C₄	—	73	6	no	—
1040	C₂²×C₄	—	73	6	no	—
1041	C₂²×C₄	—	146	24	no	—
1042	C₂²×C₄	—	146	24	no	—
1043	C₂²×C₄	—	146	24	no	—
1044	C₂²×C₄	C₂³×D₇₃	1	6	yes	—
1045	C₂²×C₄	C₂³×D₇₃	1	6	yes	—
1046	C₂²×C₄	C₂³×D₇₃	1	6	yes	—
1047	C₂²×C₄	C₂³×D₇₃	1	6	yes	—
1048	C₂²×C₄	C₂³×D₇₃	1	3	yes	—
1049	C₄⋊C₄	—	73	12	no	—
1050	C₄⋊C₄	—	73	12	no	—
1051	C₄⋊C₄	—	73	12	no	—
1052	C₄⋊C₄	—	73	6	no	—
1053	C₄⋊C₄	—	73	12	no	—
1054	C₄⋊C₄	C₂³×D₇₃	1	6	yes	—
1055	C₄⋊C₄	C₂³×D₇₃	1	12	yes	—
1056	C₂²⋊C₄	—	73	12	no	—
1057	C₂²⋊C₄	—	73	24	no	—
1058	C₂²⋊C₄	—	73	6	no	—
1059	C₂²⋊C₄	—	73	4	no	—
1060	C₂²⋊C₄	—	73	12	no	—
1061	C₂²⋊C₄	—	73	12	no	—
1062	C₂²⋊C₄	—	73	24	no	—
1063	C₂²⋊C₄	—	73	24	no	—
1064	C₂²⋊C₄	—	73	12	no	—
1065	C₂²⋊C₄	—	73	4	no	—
1066	C₂²⋊C₄	—	73	4	no	—
1067	C₂²⋊C₄	C₂³×D₇₃	1	12	yes	—
1068	C₂²⋊C₄	C₂³×D₇₃	1	24	yes	—
1069	C₂²⋊C₄	C₂³×D₇₃	1	6	yes	—
1070	C₂²⋊C₄	C₂³×D₇₃	1	4	yes	—
1071	C₄²	—	73	2	no	—
1072	C₄²	—	73	1	no	—
1073	C₄²	—	73	6	no	—
1074	C₄²	—	73	3	no	—
1075	C₄²	—	73	6	no	—
1076	C₄²	—	73	6	no	—
1077	C₄²	—	73	6	no	—
1078	C₄²	C₂³×D₇₃	1	1	yes	characteristic
1079	C₄²	C₂³×D₇₃	1	3	yes	—
1080	C₄²	C₂³×D₇₃	1	6	yes	—
1081	C₂³	—	2	12	no	—
1082	C₂³	—	4	12	no	—
1083	C₂³	—	292	12	no	—
1084	C₂³	—	292	24	no	—
1085	C₂³	—	584	48	no	—
1086	C₂³	—	73	1	no	—
1087	C₂³	—	73	12	no	—
1088	C₂³	—	73	3	no	—
1089	C₂³	—	73	6	no	—
1090	C₂³	—	73	2	no	—
1091	C₂³	—	146	4	no	—
1092	C₂³	—	146	12	no	—
1093	C₂³	—	146	8	no	—
1094	C₂³	—	146	24	no	—
1095	C₂³	—	146	24	no	—
1096	C₂³	—	146	12	no	—
1097	C₂³	—	146	12	no	—
1098	C₂³	C₂⁴×D₇₃	1	6	yes	—
1099	C₂³	C₂⁴×D₇₃	1	2	yes	—
1100	C₂³	C₂⁴×D₇₃	1	3	yes	—
1101	Q₈	—	2	12	no	—
1102	Q₈	—	2	6	no	—
1103	Q₈	—	2	2	no	—
1104	Q₈	—	73	12	no	—
1105	Q₈	—	146	12	no	—
1106	Q₈	—	146	24	no	—
1107	Q₈	—	146	4	no	—
1108	Q₈	—	146	12	no	—
1109	Q₈	—	146	6	no	—
1110	Q₈	—	146	2	no	—
1111	Q₈	C₂×D₄×D₇₃	1	4	yes	—
1112	D₄	—	2	12	no	—
1113	D₄	—	2	12	no	—
1114	D₄	—	2	12	no	—
1115	D₄	—	2	6	no	—
1116	D₄	—	2	2	no	—
1117	D₄	—	4	12	no	—
1118	D₄	—	292	12	no	—
1119	D₄	—	292	12	no	—
1120	D₄	—	292	12	no	—
1121	D₄	—	73	24	no	—
1122	D₄	—	73	12	no	—
1123	D₄	—	146	12	no	—
1124	D₄	—	146	12	no	—
1125	D₄	—	146	12	no	—
1126	D₄	—	146	24	no	—
1127	D₄	—	146	4	no	—
1128	D₄	—	146	12	no	—
1129	D₄	—	146	12	no	—
1130	D₄	—	146	12	no	—
1131	D₄	—	146	12	no	—
1132	D₄	—	146	12	no	—
1133	D₄	—	146	6	no	—
1134	D₄	—	146	2	no	—
1135	D₄	C₂×D₄×D₇₃	1	12	yes	—
1136	C₂×C₄	—	2	12	no	—
1137	C₂×C₄	—	2	12	no	—
1138	C₂×C₄	—	2	12	no	—
1139	C₂×C₄	—	4	6	no	—
1140	C₂×C₄	—	292	6	no	—
1141	C₂×C₄	—	292	6	no	—
1142	C₂×C₄	—	292	6	no	—
1143	C₂×C₄	—	73	12	no	—
1144	C₂×C₄	—	73	1	no	—
1145	C₂×C₄	—	73	3	no	—
1146	C₂×C₄	—	73	4	no	—
1147	C₂×C₄	—	73	12	no	—
1148	C₂×C₄	—	73	12	no	—
1149	C₂×C₄	—	73	12	no	—
1150	C₂×C₄	—	73	2	no	—
1151	C₂×C₄	—	73	6	no	—
1152	C₂×C₄	—	73	6	no	—
1153	C₂×C₄	—	73	2	no	—
1154	C₂×C₄	—	146	12	no	—
1155	C₂×C₄	—	146	12	no	—
1156	C₂×C₄	—	146	4	no	—
1157	C₂×C₄	—	146	12	no	—
1158	C₂×C₄	—	146	4	no	—
1159	C₂×C₄	—	146	12	no	—
1160	C₂×C₄	—	146	24	no	—
1161	C₂×C₄	—	146	12	no	—
1162	C₂×C₄	—	146	12	no	—
1163	C₂×C₄	—	146	12	no	—
1164	C₂×C₄	—	146	12	no	—
1165	C₂×C₄	—	146	12	no	—
1166	C₂×C₄	C₂×D₄×D₇₃	1	12	yes	—
1167	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1168	C₂×C₄	C₂⁴×D₇₃	1	6	yes	—
1169	C₂×C₄	C₂⁴×D₇₃	1	6	yes	—
1170	C₂×C₄	C₂⁴×D₇₃	1	2	yes	—
1171	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1172	C₂×C₄	C₂⁴×D₇₃	1	3	yes	—
1173	C₂²	—	2	6	no	—
1174	C₂²	—	2	2	no	—
1175	C₂²	—	2	6	no	—
1176	C₂²	—	2	4	no	—
1177	C₂²	—	2	12	no	—
1178	C₂²	—	8	12	no	—
1179	C₂²	—	292	24	no	—
1180	C₂²	—	292	8	no	—
1181	C₂²	—	584	12	no	—
1182	C₂²	—	584	24	no	—
1183	C₂²	—	73	2	no	—
1184	C₂²	—	73	4	no	—
1185	C₂²	—	73	6	no	—
1186	C₂²	—	146	24	no	—
1187	C₂²	—	146	2	no	—
1188	C₂²	—	146	6	no	—
1189	C₂²	—	146	4	no	—
1190	C₂²	—	146	12	no	—
1191	C₂²	—	146	6	no	—
1192	C₂²	C₂²×D₄×D₇₃	1	6	yes	—
1193	C₂²	C₂⁵×D₇₃	1	1	yes	characteristic
1194	C₄	—	2	2	no	—
1195	C₄	—	2	6	no	—
1196	C₄	—	2	2	no	—
1197	C₄	—	2	6	no	—
1198	C₄	—	73	2	no	—
1199	C₄	—	73	6	no	—
1200	C₄	—	146	2	no	—
1201	C₄	—	146	6	no	—
1202	C₄	—	146	2	no	—
1203	C₄	—	146	6	no	—
1204	C₄	C₂²×D₄×D₇₃	1	6	yes	—
1205	C₄	C₂²×D₄×D₇₃	1	2	yes	—
1206	C₂	—	2	6	no	—
1207	C₂	—	4	6	no	—
1208	C₂	—	4	2	no	—
1209	C₂	—	292	6	no	—
1210	C₂	—	292	2	no	—
1211	C₂	—	73	4	no	—
1212	C₂	—	146	6	no	—
1213	C₂	C₂³×D₄×D₇₃	1	1	yes	characteristic
1214	C₂	#585×D₇₃	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₇₃
commutator, socle, cosocle	C₂²×C₇₃	C₂⁶
Fitting	C₇₃×#3500	C₂
hypercenter	#3500	D₇₃
hypocenter	C₇₃	C₂×#3500
LCS	G ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ #3500

Complements

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

N	H ≅ G/N	type
1. C₂×2₋¹⁺⁴×D₇₃	C₂	semidirect
2. C₂×H(5,𝔽₂)×D₇₃	C₂	semidirect
3. #22623725	C₂	semidirect
4. #22623724	C₂	semidirect
5. #22623723	C₂	semidirect
6. #22623722	C₂	semidirect
7. #22623721	C₂	semidirect
8. #22623720	C₂	semidirect
9. #22623719	C₂	semidirect
10. #22623718	C₂	semidirect
11. #22623717	C₂	semidirect
12. #548×D₇₃	C₂	semidirect
13. #546×D₇₃	C₂	semidirect
14. #536×D₇₃	C₂	semidirect
15. #535×D₇₃	C₂	semidirect
16. #532×D₇₃	C₂	semidirect
17. C₂×#124×D₇₃	C₂	semidirect
18. C₄×#41×D₇₃	C₂	semidirect
19. C₇₃×#3500	C₂	semidirect
20. C₂×#14556639	C₂²	semidirect
21. C₂×#14556639	C₂²	semidirect
22. C₂×#14556638	C₂²	semidirect
23. C₂×#14556638	C₂²	semidirect
24. C₂×#14556638	C₂²	semidirect
26. C₂×#14556637	C₂²	semidirect
27. C₂×#14556637	C₂²	semidirect
28. C₂×#14556637	C₂²	semidirect
29. C₂×#14556636	C₂²	semidirect
30. C₂×#14556636	C₂²	semidirect
35. C₂×#41×D₇₃	C₂²	semidirect
36. C₂×#41×D₇₃	C₂²	semidirect
37. C₂²×Q₈×D₇₃	C₂²	semidirect
38. C₂²×Q₈×D₇₃	C₂²	semidirect
41. #17989249	C₂²	semidirect
42. #17989248	C₂²	semidirect
43. #17989247	C₂²	semidirect
44. #17989246	C₂²	semidirect
45. #17989245	C₂²	semidirect
46. #17989244	C₂²	semidirect
47. #17989243	C₂²	semidirect
48. #17989234	C₂²	semidirect
49. #17989233	C₂²	semidirect
50. #17989232	C₂²	semidirect
51. #17989231	C₂²	semidirect
52. #17989230	C₂²	semidirect
53. #17989229	C₂²	semidirect
54. #17989228	C₂²	semidirect
55. #17989227	C₂²	semidirect
56. #17989226	C₂²	semidirect
57. #17989225	C₂²	semidirect
58. #17989224	C₂²	semidirect
59. #17989163	C₂²	semidirect
60. #17989162	C₂²	semidirect
61. #17989161	C₂²	semidirect
62. #17989160	C₂²	semidirect
63. #17989159	C₂²	semidirect
64. #17989158	C₂²	semidirect
65. #17989157	C₂²	semidirect
66. #17989156	C₂²	semidirect
67. #17989155	C₂²	semidirect
68. #17989154	C₂²	semidirect
69. #17989153	C₂²	semidirect
70. #17989152	C₂²	semidirect
71. #17989151	C₂²	semidirect
72. #17989150	C₂²	semidirect
73. #17989138	C₂²	semidirect
74. #17989137	C₂²	semidirect
75. #17989136	C₂²	semidirect
76. #17989136	C₂²	semidirect
77. #17989135	C₂²	semidirect
78. #17989134	C₂²	semidirect
79. #17989133	C₂²	semidirect
80. #17989133	C₂²	semidirect
81. #17989132	C₂²	semidirect
82. C₄⋊Q₈×D₇₃	C₂²	semidirect
83. #127×D₇₃	C₂²	semidirect
84. C₂×#14556580	C₂²	semidirect
85. C₂×#14556579	C₂²	semidirect
86. C₂×#14556578	C₂²	semidirect
87. C₂×#14556577	C₂²	semidirect
88. #124×D₇₃	C₂²	semidirect
89. #124×D₇₃	C₂²	semidirect
90. #124×D₇₃	C₂²	semidirect
91. #124×D₇₃	C₂²	semidirect
92. #124×D₇₃	C₂²	semidirect
93. #124×D₇₃	C₂²	semidirect
94. #124×D₇₃	C₂²	semidirect
95. #123×D₇₃	C₂²	semidirect
96. C₂²⋊Q₈×D₇₃	C₂²	semidirect
97. #121×D₇₃	C₂²	semidirect
98. #121×D₇₃	C₂²	semidirect
99. #120×D₇₃	C₂²	semidirect
100. #41×Dic₇₃	C₂²	semidirect
101. C₄×#11924029	C₂²	semidirect
102. C₄×#11924028	C₂²	semidirect
103. #17989055	C₂²	semidirect
104. C₄×#11924027	C₂²	semidirect
105. C₄×Q₈×D₇₃	C₂²	semidirect
106. C₄×D₄×D₇₃	C₂²	semidirect
107. C₄×D₄×D₇₃	C₂²	semidirect
108. #117×D₇₃	C₂²	semidirect
109. C₂×C₂²⋊C₄×D₇₃	C₂²	semidirect
110. C₂×C₄²×D₇₃	C₂²	semidirect
111. C₂×2₋¹⁺⁴×C₇₃	C₂²	semidirect
112. C₂×H(5,𝔽₂)×C₇₃	C₂²	semidirect
113. #548×C₇₃	C₂²	semidirect
114. #546×C₇₃	C₂²	semidirect
115. #536×C₇₃	C₂²	semidirect
116. #535×C₇₃	C₂²	semidirect
117. #532×C₇₃	C₂²	semidirect
118. C₂×#124×C₇₃	C₂²	semidirect
119. C₄×#41×C₇₃	C₂²	semidirect
134. C₂×#11924029	C₂³	semidirect
135. C₂×#11924029	C₂³	semidirect
140. C₂×#11924028	C₂³	semidirect
141. C₂×#11924028	C₂³	semidirect
142. C₂×#11924028	C₂³	semidirect
143. C₂×#11924028	C₂³	semidirect
148. C₂×#11924027	C₂³	semidirect
149. C₂×#11924027	C₂³	semidirect
150. C₂×#11924027	C₂³	semidirect
151. C₂×#11924027	C₂³	semidirect
156. #41×D₇₃	D₄	semidirect
157. C₂²×Dic₁₄₆	C₂³	semidirect
158. C₂²×Dic₁₄₆	C₂³	semidirect
159. C₂²×Dic₁₄₆	C₂³	semidirect
166. C₂×Q₈×D₇₃	C₂³	semidirect
167. C₂×Q₈×D₇₃	C₂³	semidirect
168. C₂×Q₈×D₇₃	C₂³	semidirect
169. C₂×Q₈×D₇₃	C₂³	semidirect
193. #14556591	C₂³	semidirect
194. #14556590	C₂³	semidirect
195. #14556589	C₂³	semidirect
196. #14556589	C₂³	semidirect
197. #14556588	C₂³	semidirect
198. #14556587	C₂³	semidirect
199. #14556587	C₂³	semidirect
200. #14556587	C₂³	semidirect
201. #14556580	C₂³	semidirect
202. #14556580	C₂³	semidirect
203. #14556580	C₂³	semidirect
204. #14556580	C₂³	semidirect
205. #14556579	C₂³	semidirect
206. #14556579	C₂³	semidirect
207. #14556579	C₂³	semidirect
208. #14556579	C₂³	semidirect
209. #14556578	C₂³	semidirect
210. #14556578	C₂³	semidirect
211. #14556578	C₂³	semidirect
212. #14556578	C₂³	semidirect
213. #14556577	C₂³	semidirect
214. #14556577	C₂³	semidirect
215. #14556577	C₂³	semidirect
216. #14556577	C₂³	semidirect
217. #14556577	C₂³	semidirect
218. #14556576	C₂³	semidirect
219. #14556575	C₂³	semidirect
220. #14556574	C₂³	semidirect
221. #14556573	C₂³	semidirect
222. #14556572	C₂³	semidirect
223. #14556571	C₂³	semidirect
224. #14556570	C₂³	semidirect
225. #14556569	C₂³	semidirect
226. #14556568	C₂³	semidirect
227. #14556567	C₂³	semidirect
228. #14556566	C₂³	semidirect
229. #14556566	C₂³	semidirect
230. #14556565	C₂³	semidirect
231. #14556565	C₂³	semidirect
232. #14556564	C₂³	semidirect
233. #14556564	C₂³	semidirect
234. #14556564	C₂³	semidirect
235. #14556563	C₂³	semidirect
236. #14556563	C₂³	semidirect
237. #14556563	C₂³	semidirect
238. #14556562	C₂³	semidirect
239. #14556562	C₂³	semidirect
240. #14556561	C₂³	semidirect
241. #14556561	C₂³	semidirect
242. #14556560	C₂³	semidirect
243. #14556559	C₂³	semidirect
244. #14556559	C₂³	semidirect
245. Q₈×Dic₇₃	C₂³	semidirect
246. C₄×Dic₁₄₆	C₂³	semidirect
247. #14556556	C₂³	semidirect
248. C₄×D₂₉₂	C₂³	semidirect
249. C₄×D₂₉₂	C₂³	semidirect
250. D₄×Dic₇₃	C₂³	semidirect
251. D₄×Dic₇₃	C₂³	semidirect
252. #14556553	C₂³	semidirect
253. #14556553	C₂³	semidirect
254. C₄×C₂²⋊D₇₃	C₂³	semidirect
255. C₄×C₂²⋊D₇₃	C₂³	semidirect
256. C₄×C₂²⋊D₇₃	C₂³	semidirect
257. #14556551	C₂³	semidirect
258. #14556551	C₂³	semidirect
259. #14556551	C₂³	semidirect
260. #14556550	C₂³	semidirect
261. #14556549	C₂³	semidirect
262. #14556548	C₂³	semidirect
263. #14556547	C₂³	semidirect
266. C₂×C₂²⋊Dic₇₃	C₂³	semidirect
267. C₂×#11924005	C₂³	semidirect
268. C₂×#11924005	C₂³	semidirect
273. C₂²⋊C₄×D₇₃	C₂³	semidirect
274. C₂²⋊C₄×D₇₃	C₂³	semidirect
275. C₂×C₄×Dic₇₃	C₂³	semidirect
276. C₂×C₄×Dic₇₃	C₂³	semidirect
280. C₄²×D₇₃	C₂³	semidirect
281. C₄²×D₇₃	C₂³	semidirect
282. C₄²×D₇₃	C₂³	semidirect
288. C₂×#41×C₇₃	C₂³	semidirect
289. C₂×#41×C₇₃	C₂³	semidirect
290. C₂²×Q₈×C₇₃	C₂³	semidirect
291. C₂²×Q₈×C₇₃	C₂³	semidirect
294. C₄⋊Q₈×C₇₃	C₂³	semidirect
295. #127×C₇₃	C₂³	semidirect
296. #124×C₇₃	C₂³	semidirect
297. #124×C₇₃	C₂³	semidirect
298. #124×C₇₃	C₂³	semidirect
299. #124×C₇₃	C₂³	semidirect
300. #123×C₇₃	C₂³	semidirect
301. C₂²⋊Q₈×C₇₃	C₂³	semidirect
302. #121×C₇₃	C₂³	semidirect
303. #121×C₇₃	C₂³	semidirect
304. #120×C₇₃	C₂³	semidirect
305. C₄×Q₈×C₇₃	C₂³	semidirect
306. C₄×D₄×C₇₃	C₂³	semidirect
307. C₄×D₄×C₇₃	C₂³	semidirect
308. #117×C₇₃	C₂³	semidirect
309. C₂×C₂²⋊C₄×C₇₃	C₂³	semidirect
310. C₂×C₄²×C₇₃	C₂³	semidirect
322. #11924029	C₂×D₄	semidirect
330. #11924028	C₂×D₄	semidirect
338. #11924027	C₂×D₄	semidirect
443. #41×C₇₃	C₂×D₄	semidirect
607. D₇₃	#3500	direct (N × H)
619. #3500	D₇₃	direct (N × H)
627. C₇₃	C₂×#3500	semidirect
634. C₂×2₋¹⁺⁴	C₂×D₇₃	semidirect
641. C₂×H(5,𝔽₂)	C₂×D₇₃	semidirect
658. #548	C₂×D₇₃	semidirect
670. #546	C₂×D₇₃	semidirect
678. #536	C₂×D₇₃	semidirect
686. #535	C₂×D₇₃	semidirect
696. #532	C₂×D₇₃	semidirect
710. C₂×#124	C₂×D₇₃	semidirect
721. C₄×#41	C₂×D₇₃	semidirect
770. C₂×#41	C₂²×D₇₃	semidirect
771. C₂×#41	C₂²×D₇₃	semidirect
785. C₂²×Q₈	C₂²×D₇₃	semidirect
786. C₂²×Q₈	C₂²×D₇₃	semidirect
816. C₄⋊Q₈	C₂²×D₇₃	semidirect
821. #127	C₂²×D₇₃	semidirect
839. #124	C₂²×D₇₃	semidirect
840. #124	C₂²×D₇₃	semidirect
841. #124	C₂²×D₇₃	semidirect
842. #124	C₂²×D₇₃	semidirect
848. #123	C₂²×D₇₃	semidirect
854. C₂²⋊Q₈	C₂²×D₇₃	semidirect
867. #121	C₂²×D₇₃	semidirect
868. #121	C₂²×D₇₃	semidirect
874. #120	C₂²×D₇₃	semidirect
878. C₄×Q₈	C₂²×D₇₃	semidirect
891. C₄×D₄	C₂²×D₇₃	semidirect
892. C₄×D₄	C₂²×D₇₃	semidirect
897. #117	C₂²×D₇₃	semidirect
909. C₂×C₂²⋊C₄	C₂²×D₇₃	semidirect
918. C₂×C₄²	C₂²×D₇₃	semidirect
952. #41	D₄×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×2₋¹⁺⁴×D₇₃	2
C₂×H(5,𝔽₂)×D₇₃	2
#22623725	2
#22623724	2
#22623723	2
#22623722	2
#22623721	2
#22623720	2
#22623719	2
#22623718	2
#22623717	2
#548×D₇₃	2
#546×D₇₃	2
#536×D₇₃	2
#535×D₇₃	2
#532×D₇₃	2
C₂×#124×D₇₃	2
C₄×#41×D₇₃	2
C₇₃×#3500	2
C₂×#3500	73

Subgroups — #3500×D73 #33994448

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #3500×D₇₃ #33994448