Subgroups — #3585×D₇₃ #33999819

Order 18688.

11138 conjugacy classes of subgroups.

The subgroup lattice has 1252 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#585×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×H(5,𝔽₂)×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#22624712	C₂	1	1	yes	maximal, characteristic, complemented
4	#22624711	C₂	1	1	yes	maximal, characteristic, complemented
5	#22624710	C₂	1	1	yes	maximal, characteristic, complemented
6	#22624709	C₂	1	8	yes	maximal, complemented
7	#22624708	C₂	1	6	yes	maximal, complemented
8	#22624707	C₂	1	6	yes	maximal, complemented
9	#22624706	C₂	1	8	yes	maximal, complemented
10	#577×D₇₃	C₂	1	8	yes	maximal, complemented
11	#576×D₇₃	C₂	1	8	yes	maximal, complemented
12	#575×D₇₃	C₂	1	6	yes	maximal, complemented
13	C₂×AGL(1,ℤ/8)×D₇₃	C₂	1	6	yes	maximal, complemented
14	#568×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
15	C₇₃×#3585	C₂	1	1	yes	maximal, characteristic, complemented
16	#17989424	—	2	1	no	—
17	#17989424	C₂²	1	4	yes	complemented
18	#17989423	—	2	4	no	—
19	#17989423	C₂²	1	1	yes	characteristic, complemented
20	#17989423	C₂²	1	6	yes	complemented
21	#17989422	—	2	3	no	—
22	#17989422	C₂²	1	4	yes	complemented
23	2₋¹⁺⁴×D₇₃	—	2	1	no	—
24	2₋¹⁺⁴×D₇₃	C₂²	1	4	yes	complemented
25	C₂×#14556637	—	2	1	no	—
26	C₂×#14556637	C₂²	1	1	yes	characteristic, complemented
27	C₂×#14556637	C₂²	1	3	yes	complemented
28	C₂×#14556636	—	2	3	no	—
29	C₂×#14556636	C₂²	1	3	yes	complemented
30	H(5,𝔽₂)×D₇₃	—	2	4	no	—
31	H(5,𝔽₂)×D₇₃	—	2	4	no	—
32	H(5,𝔽₂)×D₇₃	—	2	3	no	—
33	H(5,𝔽₂)×D₇₃	C₂²	1	8	yes	complemented
34	H(5,𝔽₂)×D₇₃	C₂²	1	4	yes	complemented
35	H(5,𝔽₂)×D₇₃	C₂²	1	8	yes	complemented
36	C₂×#41×D₇₃	—	2	4	no	—
37	C₂×#41×D₇₃	—	2	1	no	—
38	C₂×#41×D₇₃	C₂²	1	1	yes	characteristic
39	C₂×#41×D₇₃	C₂²	1	3	yes	complemented
40	C₂×#41×D₇₃	C₂²	1	6	yes	complemented
41	C₂²×D₄×D₇₃	—	2	3	no	—
42	C₂²×D₄×D₇₃	C₂²	1	3	yes	complemented
43	#17989399	C₂²	1	8	yes	complemented
44	#17989398	C₂²	1	8	yes	complemented
45	#17989397	C₂²	1	24	yes	complemented
46	#17989396	C₂²	1	24	yes	complemented
47	#17989395	C₂²	1	8	yes	complemented
48	#17989394	C₂²	1	24	yes	complemented
49	#17989393	C₂²	1	24	yes	complemented
50	#17989392	C₂²	1	8	yes	complemented
51	#17989391	C₂²	1	24	yes	complemented
52	#17989391	C₂²	1	24	yes	complemented
53	#17989390	C₂²	1	8	yes	complemented
54	#17989390	C₂²	1	8	yes	complemented
55	#17989389	C₂²	1	24	yes	complemented
56	#17989388	C₂²	1	24	yes	complemented
57	#17989387	C₂²	1	6	yes	complemented
58	#17989386	C₂²	1	12	yes	complemented
59	#17989386	C₂²	1	12	yes	complemented
60	#17989385	C₂²	1	6	yes	complemented
61	#17989385	C₂²	1	6	yes	complemented
62	#17989384	C₂²	1	24	yes	complemented
63	#17989383	C₂²	1	12	yes	complemented
64	#17989383	C₂²	1	12	yes	complemented
65	#137×D₇₃	C₂²	1	4	yes	complemented
66	#137×D₇₃	C₂²	1	12	yes	complemented
67	C₂×#14556619	C₂²	1	6	yes	complemented
68	C₂×#14556618	C₂²	1	12	yes	complemented
69	C₂×#14556617	C₂²	1	6	yes	complemented
70	C₂×#14556616	C₂²	1	6	yes	complemented
71	C₂×#14556615	C₂²	1	12	yes	complemented
72	AGL(1,ℤ/8)×D₇₃	C₂²	1	12	yes	complemented
73	AGL(1,ℤ/8)×D₇₃	C₂²	1	24	yes	complemented
74	AGL(1,ℤ/8)×D₇₃	C₂²	1	12	yes	complemented
75	AGL(1,ℤ/8)×D₇₃	C₂²	1	24	yes	complemented
76	AGL(1,ℤ/8)×D₇₃	C₂²	1	24	yes	complemented
77	#135×D₇₃	C₂²	1	24	yes	complemented
78	C₂×SD₁₆×D₇₃	C₂²	1	12	yes	complemented
79	C₂×D₈×D₇₃	C₂²	1	12	yes	complemented
80	#17989354	C₂²	1	1	yes	characteristic, complemented
81	#17989353	C₂²	1	6	yes	complemented
82	#17989352	C₂²	1	8	yes	complemented
83	#131×D₇₃	C₂²	1	8	yes	complemented
84	C₂×M₁₆×D₇₃	C₂²	1	6	yes	complemented
85	#585×C₇₃	C₂²	1	1	yes	characteristic, complemented
86	C₂×H(5,𝔽₂)×C₇₃	C₂²	1	1	yes	characteristic, complemented
87	#577×C₇₃	C₂²	1	8	yes	complemented
88	#576×C₇₃	C₂²	1	8	yes	complemented
89	#575×C₇₃	C₂²	1	6	yes	complemented
90	C₂×AGL(1,ℤ/8)×C₇₃	C₂²	1	6	yes	complemented
91	#568×C₇₃	C₂²	1	1	yes	characteristic, complemented
92	C₂⁴×D₇₃	—	2	3	no	—
93	#14556639	—	2	4	no	—
94	#14556639	—	2	4	no	—
95	#14556639	—	2	1	no	—
96	#14556639	C₂³	1	12	yes	complemented
97	#14556638	—	2	12	no	—
98	#14556638	—	2	6	no	—
99	#14556638	—	2	4	no	—
100	#14556638	C₂³	1	4	yes	complemented
101	#14556638	C₂³	1	12	yes	complemented
102	#14556637	—	2	8	no	—
103	#14556637	—	2	8	no	—
104	#14556637	—	2	4	no	—
105	#14556637	—	2	12	no	—
106	#14556637	—	2	6	no	—
107	#14556637	—	2	12	no	—
108	#14556637	—	2	4	no	—
109	#14556637	C₂³	1	8	yes	complemented
110	#14556637	C₂³	1	4	yes	complemented
111	#14556637	C₂³	1	24	yes	complemented
112	#14556637	C₂³	1	12	yes	complemented
113	#14556636	—	2	12	no	—
114	#14556636	—	2	24	no	—
115	#14556636	—	2	24	no	—
116	#14556636	—	2	12	no	—
117	#14556636	—	2	12	no	—
118	#14556636	—	2	12	no	—
119	#14556636	—	2	3	no	—
120	#14556636	C₂³	1	24	yes	complemented
121	#14556636	C₂³	1	12	yes	complemented
122	C₂×#11924029	—	2	4	no	—
123	C₂×#11924029	—	2	1	no	—
124	C₂×#11924029	D₄	1	1	yes	characteristic
125	C₂×#11924029	C₂³	1	3	yes	complemented
126	C₂×#11924029	C₂³	1	6	yes	complemented
127	C₂×#11924028	—	2	12	no	—
128	C₂×#11924028	—	2	3	no	—
129	C₂×#11924028	—	2	3	no	—
130	C₂×#11924028	—	2	6	no	—
131	C₂×#11924028	C₂³	1	3	yes	—
132	C₂×#11924028	C₂³	1	3	yes	complemented
133	C₂×#11924028	C₂³	1	6	yes	complemented
134	C₂×#11924027	—	2	12	no	—
135	C₂×#11924027	—	2	3	no	—
136	C₂×#11924027	—	2	3	no	—
137	C₂×#11924027	—	2	6	no	—
138	C₂×#11924027	D₄	1	3	yes	—
139	C₂×#11924027	C₂³	1	3	yes	complemented
140	C₂×#11924027	C₂³	1	6	yes	complemented
141	#41×D₇₃	—	2	4	no	—
142	#41×D₇₃	—	2	12	no	—
143	#41×D₇₃	—	2	12	no	—
144	#41×D₇₃	—	2	8	no	—
145	#41×D₇₃	—	2	8	no	—
146	#41×D₇₃	—	2	4	no	—
147	#41×D₇₃	—	2	12	no	—
148	#41×D₇₃	—	2	6	no	—
149	#41×D₇₃	—	2	6	no	—
150	#41×D₇₃	—	2	6	no	—
151	#41×D₇₃	—	2	6	no	—
152	#41×D₇₃	—	2	6	no	—
153	#41×D₇₃	—	2	6	no	—
154	#41×D₇₃	—	2	4	no	—
155	#41×D₇₃	D₄	1	4	yes	—
156	#41×D₇₃	D₄	1	4	yes	—
157	#41×D₇₃	C₂³	1	4	yes	—
158	#41×D₇₃	C₂³	1	12	yes	—
159	#41×D₇₃	C₂³	1	4	yes	—
160	#41×D₇₃	C₂³	1	4	yes	—
161	#41×D₇₃	C₂³	1	12	yes	complemented
162	#41×D₇₃	C₂³	1	12	yes	complemented
163	#41×D₇₃	C₂³	1	12	yes	complemented
164	#41×D₇₃	C₂³	1	12	yes	complemented
165	C₂×Q₈×D₇₃	—	2	4	no	—
166	C₂×Q₈×D₇₃	D₄	1	1	yes	characteristic
167	C₂×Q₈×D₇₃	C₂³	1	1	yes	characteristic
168	C₂×Q₈×D₇₃	C₂³	1	6	yes	complemented
169	C₂²×D₂₉₂	—	2	3	no	—
170	C₂²×D₂₉₂	C₂³	1	3	yes	complemented
171	C₂²×C₂²⋊D₇₃	—	2	6	no	—
172	C₂²×C₂²⋊D₇₃	—	2	3	no	—
173	C₂×D₄×D₇₃	—	2	3	no	—
174	C₂×D₄×D₇₃	—	2	6	no	—
175	C₂×D₄×D₇₃	—	2	3	no	—
176	C₂×D₄×D₇₃	—	2	6	no	—
177	C₂×D₄×D₇₃	—	2	24	no	—
178	C₂×D₄×D₇₃	—	2	24	no	—
179	C₂×D₄×D₇₃	—	2	12	no	—
180	C₂×D₄×D₇₃	—	2	3	no	—
181	C₂×D₄×D₇₃	—	2	6	no	—
182	C₂×D₄×D₇₃	—	2	6	no	—
183	C₂×D₄×D₇₃	—	2	3	no	—
184	C₂×D₄×D₇₃	—	2	3	no	—
185	C₂×D₄×D₇₃	D₄	1	3	yes	—
186	C₂×D₄×D₇₃	C₂³	1	3	yes	—
187	C₂×D₄×D₇₃	C₂³	1	12	yes	—
188	C₂×D₄×D₇₃	C₂³	1	12	yes	complemented
189	C₂×D₄×D₇₃	C₂³	1	6	yes	complemented
190	C₂×D₄×D₇₃	C₂³	1	6	yes	complemented
191	C₂²×C₄×D₇₃	—	2	3	no	—
192	C₂²×C₄×D₇₃	—	2	6	no	—
193	C₂²×C₄×D₇₃	C₂³	1	3	yes	—
194	#14556624	C₂³	1	4	yes	complemented
195	#14556624	C₂³	1	12	yes	complemented
196	#14556623	C₂³	1	8	yes	complemented
197	#14556623	C₂³	1	24	yes	complemented
198	#14556622	C₂³	1	4	yes	complemented
199	#14556622	C₂³	1	12	yes	complemented
200	#14556621	C₂³	1	4	yes	complemented
201	#14556621	C₂³	1	12	yes	complemented
202	#14556620	C₂³	1	8	yes	complemented
203	#14556620	C₂³	1	24	yes	complemented
204	#14556619	C₂³	1	12	yes	complemented
205	#14556619	C₂³	1	24	yes	complemented
206	#14556619	C₂³	1	12	yes	complemented
207	#14556618	C₂³	1	24	yes	complemented
208	#14556618	C₂³	1	48	yes	complemented
209	#14556618	C₂³	1	24	yes	complemented
210	#14556617	C₂³	1	12	yes	complemented
211	#14556617	C₂³	1	24	yes	complemented
212	#14556617	C₂³	1	12	yes	complemented
213	#14556616	C₂³	1	12	yes	complemented
214	#14556616	C₂³	1	12	yes	complemented
215	#14556616	C₂³	1	24	yes	complemented
216	#14556615	C₂³	1	24	yes	complemented
217	#14556615	C₂³	1	48	yes	complemented
218	#14556615	C₂³	1	24	yes	complemented
219	#14556614	C₂³	1	24	yes	complemented
220	#14556613	C₂³	1	24	yes	complemented
221	#14556612	C₂³	1	24	yes	complemented
222	#14556612	C₂³	1	24	yes	complemented
223	#14556611	C₂³	1	24	yes	complemented
224	#14556611	C₂³	1	24	yes	complemented
225	#14556610	C₂³	1	24	yes	complemented
226	Q₁₆×D₇₃	C₂³	1	8	yes	complemented
227	C₂×#11924017	C₂³	1	12	yes	complemented
228	C₂×#11924016	C₂³	1	12	yes	complemented
229	C₂×#11924015	C₂³	1	12	yes	complemented
230	SD₁₆×D₇₃	C₂³	1	24	yes	complemented
231	SD₁₆×D₇₃	C₂³	1	8	yes	complemented
232	SD₁₆×D₇₃	C₂³	1	48	yes	complemented
233	C₂×D₅₈₄	C₂³	1	12	yes	complemented
234	C₂×#11924013	C₂³	1	12	yes	complemented
235	C₂×#11924013	C₂³	1	12	yes	complemented
236	D₈×D₇₃	C₂³	1	24	yes	complemented
237	D₈×D₇₃	C₂³	1	48	yes	complemented
238	#14556599	C₂³	1	24	yes	complemented
239	#14556598	C₂³	1	8	yes	complemented
240	#14556597	C₂³	1	24	yes	complemented
241	C₂×#11924012	C₂³	1	6	yes	complemented
242	C₂×#11924011	C₂³	1	12	yes	complemented
243	M₁₆×D₇₃	C₂³	1	4	yes	—
244	M₁₆×D₇₃	C₂³	1	12	yes	complemented
245	M₁₆×D₇₃	C₂³	1	12	yes	complemented
246	M₁₆×D₇₃	C₂³	1	12	yes	complemented
247	C₂×C₈×D₇₃	C₂³	1	12	yes	complemented
248	2₋¹⁺⁴×C₇₃	—	2	1	no	—
249	2₋¹⁺⁴×C₇₃	C₂³	1	4	yes	complemented
250	H(5,𝔽₂)×C₇₃	—	2	4	no	—
251	H(5,𝔽₂)×C₇₃	—	2	3	no	—
252	H(5,𝔽₂)×C₇₃	C₂³	1	8	yes	complemented
253	H(5,𝔽₂)×C₇₃	C₂³	1	4	yes	complemented
254	C₂×#41×C₇₃	—	2	4	no	—
255	C₂×#41×C₇₃	—	2	1	no	—
256	C₂×#41×C₇₃	C₂³	1	1	yes	characteristic
257	C₂×#41×C₇₃	C₂³	1	3	yes	complemented
258	C₂×#41×C₇₃	C₂³	1	6	yes	complemented
259	C₂²×D₄×C₇₃	—	2	3	no	—
260	C₂²×D₄×C₇₃	C₂³	1	3	yes	complemented
261	#137×C₇₃	C₂³	1	4	yes	complemented
262	#137×C₇₃	C₂³	1	12	yes	complemented
263	AGL(1,ℤ/8)×C₇₃	C₂³	1	12	yes	complemented
264	AGL(1,ℤ/8)×C₇₃	C₂³	1	24	yes	complemented
265	AGL(1,ℤ/8)×C₇₃	C₂³	1	12	yes	complemented
266	#135×C₇₃	C₂³	1	24	yes	complemented
267	C₂×SD₁₆×C₇₃	C₂³	1	12	yes	complemented
268	C₂×D₈×C₇₃	C₂³	1	12	yes	complemented
269	#131×C₇₃	C₂³	1	8	yes	complemented
270	C₂×M₁₆×C₇₃	C₂³	1	6	yes	complemented
271	C₂³×D₇₃	—	2	3	no	—
272	C₂³×D₇₃	—	2	3	no	—
273	C₂³×D₇₃	—	2	6	no	—
274	C₂³×D₇₃	—	2	12	no	—
275	C₂³×D₇₃	—	2	12	no	—
276	C₂³×D₇₃	—	2	6	no	—
277	C₂³×D₇₃	—	8	12	no	—
278	C₂³×D₇₃	C₂×D₄	1	3	yes	—
279	#11924029	—	2	8	no	—
280	#11924029	—	2	4	no	—
281	#11924029	—	2	12	no	—
282	#11924029	—	2	6	no	—
283	#11924029	—	2	6	no	—
284	#11924029	—	2	6	no	—
285	#11924029	C₂×D₄	1	4	yes	—
286	#11924029	C₂×D₄	1	4	yes	—
287	#11924029	C₂⁴	1	12	yes	—
288	#11924029	C₂⁴	1	4	yes	—
289	#11924029	C₂⁴	1	12	yes	complemented
290	#11924028	—	2	6	no	—
291	#11924028	—	2	6	no	—
292	#11924028	—	2	6	no	—
293	#11924028	—	2	24	no	—
294	#11924028	—	2	12	no	—
295	#11924028	—	2	4	no	—
296	#11924028	—	2	12	no	—
297	#11924028	—	2	12	no	—
298	#11924028	—	2	12	no	—
299	#11924028	—	2	12	no	—
300	#11924028	—	2	12	no	—
301	#11924028	—	2	24	no	—
302	#11924028	—	2	12	no	—
303	#11924028	C₂×D₄	1	12	yes	—
304	#11924028	C₂⁴	1	12	yes	—
305	#11924028	C₂⁴	1	12	yes	—
306	#11924028	C₂⁴	1	4	yes	—
307	#11924028	C₂⁴	1	12	yes	complemented
308	#11924027	—	2	12	no	—
309	#11924027	—	2	24	no	—
310	#11924027	—	2	4	no	—
311	#11924027	—	2	12	no	—
312	#11924027	—	2	12	no	—
313	#11924027	—	2	12	no	—
314	#11924027	—	2	12	no	—
315	#11924027	—	2	12	no	—
316	#11924027	—	2	6	no	—
317	#11924027	—	2	6	no	—
318	#11924027	—	2	6	no	—
319	#11924027	—	2	24	no	—
320	#11924027	—	2	12	no	—
321	#11924027	C₂×D₄	1	12	yes	—
322	#11924027	C₂×D₄	1	12	yes	—
323	#11924027	C₂⁴	1	12	yes	—
324	#11924027	C₂⁴	1	4	yes	—
325	#11924027	C₂⁴	1	12	yes	complemented
326	C₂×Dic₁₄₆	—	2	1	no	—
327	C₂×Dic₁₄₆	—	2	6	no	—
328	C₂×Dic₁₄₆	—	2	12	no	—
329	C₂×Dic₁₄₆	C₂×D₄	1	3	yes	—
330	C₂×Dic₁₄₆	C₂⁴	1	1	yes	characteristic
331	C₂×Dic₁₄₆	C₂⁴	1	6	yes	complemented
332	Q₈×D₇₃	—	2	4	no	—
333	Q₈×D₇₃	—	2	6	no	—
334	Q₈×D₇₃	—	2	1	no	—
335	Q₈×D₇₃	—	2	1	no	—
336	Q₈×D₇₃	—	2	6	no	—
337	Q₈×D₇₃	—	2	12	no	—
338	Q₈×D₇₃	C₂×D₄	1	4	yes	—
339	Q₈×D₇₃	C₂×D₄	1	4	yes	—
340	Q₈×D₇₃	C₂⁴	1	4	yes	—
341	Q₈×D₇₃	C₂⁴	1	2	yes	—
342	Q₈×D₇₃	C₂⁴	1	2	yes	—
343	Q₈×D₇₃	C₂⁴	1	12	yes	complemented
344	C₂×D₂₉₂	—	2	3	no	—
345	C₂×D₂₉₂	—	2	6	no	—
346	C₂×D₂₉₂	—	2	3	no	—
347	C₂×D₂₉₂	—	2	6	no	—
348	C₂×D₂₉₂	—	2	24	no	—
349	C₂×D₂₉₂	—	2	12	no	—
350	C₂×D₂₉₂	C₂×D₄	1	3	yes	—
351	C₂×D₂₉₂	C₂⁴	1	12	yes	—
352	C₂×D₂₉₂	C₂⁴	1	3	yes	—
353	C₂×D₂₉₂	C₂⁴	1	6	yes	complemented
354	C₂×C₂²⋊D₇₃	—	2	3	no	—
355	C₂×C₂²⋊D₇₃	—	2	6	no	—
356	C₂×C₂²⋊D₇₃	—	2	3	no	—
357	C₂×C₂²⋊D₇₃	—	2	6	no	—
358	C₂×C₂²⋊D₇₃	—	2	48	no	—
359	C₂×C₂²⋊D₇₃	—	2	24	no	—
360	C₂×C₂²⋊D₇₃	—	2	3	no	—
361	C₂×C₂²⋊D₇₃	—	2	6	no	—
362	C₂×C₂²⋊D₇₃	—	2	12	no	—
363	C₂×C₂²⋊D₇₃	—	2	12	no	—
364	C₂×C₂²⋊D₇₃	—	2	6	no	—
365	C₂×C₂²⋊D₇₃	C₂×D₄	1	6	yes	—
366	D₄×D₇₃	—	2	12	no	—
367	D₄×D₇₃	—	2	12	no	—
368	D₄×D₇₃	—	2	4	no	—
369	D₄×D₇₃	—	2	12	no	—
370	D₄×D₇₃	—	2	12	no	—
371	D₄×D₇₃	—	2	12	no	—
372	D₄×D₇₃	—	2	24	no	—
373	D₄×D₇₃	—	2	12	no	—
374	D₄×D₇₃	—	2	48	no	—
375	D₄×D₇₃	—	2	24	no	—
376	D₄×D₇₃	—	2	24	no	—
377	D₄×D₇₃	—	2	12	no	—
378	D₄×D₇₃	—	2	3	no	—
379	D₄×D₇₃	—	2	12	no	—
380	D₄×D₇₃	—	2	3	no	—
381	D₄×D₇₃	—	2	12	no	—
382	D₄×D₇₃	—	2	12	no	—
383	D₄×D₇₃	—	2	6	no	—
384	D₄×D₇₃	—	2	12	no	—
385	D₄×D₇₃	—	2	12	no	—
386	D₄×D₇₃	—	2	6	no	—
387	D₄×D₇₃	C₂×D₄	1	12	yes	—
388	D₄×D₇₃	C₂×D₄	1	12	yes	—
389	D₄×D₇₃	C₂⁴	1	4	yes	—
390	D₄×D₇₃	C₂⁴	1	6	yes	—
391	D₄×D₇₃	C₂⁴	1	24	yes	—
392	D₄×D₇₃	C₂⁴	1	6	yes	—
393	D₄×D₇₃	C₂⁴	1	12	yes	complemented
394	C₂²×Dic₇₃	—	2	3	no	—
395	C₂²×Dic₇₃	—	2	6	no	—
396	C₂²×Dic₇₃	C₂×D₄	1	3	yes	—
397	C₂×C₄×D₇₃	—	2	1	no	—
398	C₂×C₄×D₇₃	—	2	6	no	—
399	C₂×C₄×D₇₃	—	2	3	no	—
400	C₂×C₄×D₇₃	—	2	6	no	—
401	C₂×C₄×D₇₃	—	2	3	no	—
402	C₂×C₄×D₇₃	—	2	6	no	—
403	C₂×C₄×D₇₃	—	2	4	no	—
404	C₂×C₄×D₇₃	—	2	12	no	—
405	C₂×C₄×D₇₃	—	2	12	no	—
406	C₂×C₄×D₇₃	—	2	12	no	—
407	C₂×C₄×D₇₃	—	2	12	no	—
408	C₂×C₄×D₇₃	—	2	12	no	—
409	C₂×C₄×D₇₃	C₂×D₄	1	3	yes	—
410	C₂×C₄×D₇₃	C₂×D₄	1	6	yes	—
411	C₂×C₄×D₇₃	C₂×D₄	1	6	yes	—
412	C₂×C₄×D₇₃	C₂×D₄	1	3	yes	—
413	C₂×C₄×D₇₃	C₂⁴	1	6	yes	—
414	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
415	C₂×C₄×D₇₃	C₂⁴	1	3	yes	—
416	C₂×C₄×D₇₃	C₂⁴	1	6	yes	—
417	Dic₂₉₂	C₂⁴	1	8	yes	complemented
418	#11924018	C₂⁴	1	8	yes	complemented
419	#11924018	C₂⁴	1	8	yes	complemented
420	#11924017	C₂⁴	1	24	yes	complemented
421	#11924017	C₂⁴	1	8	yes	complemented
422	#11924016	C₂⁴	1	24	yes	complemented
423	#11924016	C₂⁴	1	8	yes	complemented
424	#11924015	C₂⁴	1	24	yes	complemented
425	#11924015	C₂⁴	1	8	yes	complemented
426	D₅₈₄	C₂⁴	1	24	yes	complemented
427	#11924013	C₂⁴	1	24	yes	complemented
428	#11924013	C₂⁴	1	24	yes	complemented
429	#11924012	C₂⁴	1	4	yes	—
430	#11924012	C₂⁴	1	12	yes	complemented
431	#11924011	C₂⁴	1	8	yes	—
432	#11924011	C₂⁴	1	24	yes	complemented
433	C₂×#10596831	C₂⁴	1	12	yes	complemented
434	C₈×D₇₃	C₂⁴	1	8	yes	—
435	C₈×D₇₃	C₂⁴	1	24	yes	complemented
436	C₂⁴×C₇₃	—	2	3	no	—
437	#41×C₇₃	—	2	8	no	—
438	#41×C₇₃	—	2	4	no	—
439	#41×C₇₃	—	2	12	no	—
440	#41×C₇₃	—	2	6	no	—
441	#41×C₇₃	—	2	6	no	—
442	#41×C₇₃	—	2	6	no	—
443	#41×C₇₃	C₂×D₄	1	4	yes	—
444	#41×C₇₃	C₂⁴	1	12	yes	—
445	#41×C₇₃	C₂⁴	1	4	yes	—
446	#41×C₇₃	C₂⁴	1	4	yes	—
447	#41×C₇₃	C₂⁴	1	12	yes	complemented
448	C₂×Q₈×C₇₃	—	2	4	no	—
449	C₂×Q₈×C₇₃	C₂×D₄	1	1	yes	characteristic
450	C₂×Q₈×C₇₃	C₂⁴	1	1	yes	characteristic
451	C₂×Q₈×C₇₃	C₂⁴	1	6	yes	complemented
452	C₂×D₄×C₇₃	—	2	3	no	—
453	C₂×D₄×C₇₃	—	2	6	no	—
454	C₂×D₄×C₇₃	—	2	24	no	—
455	C₂×D₄×C₇₃	—	2	12	no	—
456	C₂×D₄×C₇₃	—	2	3	no	—
457	C₂×D₄×C₇₃	—	2	6	no	—
458	C₂×D₄×C₇₃	C₂×D₄	1	3	yes	—
459	C₂×D₄×C₇₃	C₂⁴	1	12	yes	—
460	C₂×D₄×C₇₃	C₂⁴	1	3	yes	—
461	C₂×D₄×C₇₃	C₂⁴	1	6	yes	complemented
462	C₂²×C₄×C₇₃	—	2	3	no	—
463	C₂²×C₄×C₇₃	—	2	6	no	—
464	C₂²×C₄×C₇₃	C₂⁴	1	3	yes	—
465	Q₁₆×C₇₃	C₂⁴	1	8	yes	complemented
466	SD₁₆×C₇₃	C₂⁴	1	24	yes	complemented
467	SD₁₆×C₇₃	C₂⁴	1	8	yes	complemented
468	D₈×C₇₃	C₂⁴	1	24	yes	complemented
469	M₁₆×C₇₃	C₂⁴	1	4	yes	—
470	M₁₆×C₇₃	C₂⁴	1	12	yes	complemented
471	C₂×C₈×C₇₃	C₂⁴	1	12	yes	complemented
472	C₂³×C₇₃	—	2	3	no	—
473	C₂³×C₇₃	—	2	6	no	—
474	C₂³×C₇₃	—	2	12	no	—
475	C₂³×C₇₃	—	8	6	no	—
476	C₂³×C₇₃	C₂²×D₄	1	3	yes	—
477	C₂²×D₇₃	—	2	3	no	—
478	C₂²×D₇₃	—	2	6	no	—
479	C₂²×D₇₃	—	2	12	no	—
480	C₂²×D₇₃	—	2	4	no	—
481	C₂²×D₇₃	—	2	6	no	—
482	C₂²×D₇₃	—	2	6	no	—
483	C₂²×D₇₃	—	2	12	no	—
484	C₂²×D₇₃	—	2	24	no	—
485	C₂²×D₇₃	—	4	6	no	—
486	C₂²×D₇₃	—	4	12	no	—
487	C₂²×D₇₃	—	8	12	no	—
488	C₂²×D₇₃	—	8	24	no	—
489	C₂²×D₇₃	—	8	24	no	—
490	C₂²×D₇₃	—	8	12	no	—
491	C₂²×D₇₃	—	8	6	no	—
492	C₂²×D₇₃	C₂²×D₄	1	1	yes	characteristic
493	C₂²×D₇₃	C₂²×D₄	1	6	yes	—
494	C₂²×D₇₃	C₂²×D₄	1	6	yes	—
495	C₂²×D₇₃	C₂²×D₄	1	3	yes	—
496	Q₈×C₇₃	—	2	6	no	—
497	Q₈×C₇₃	—	2	1	no	—
498	Q₈×C₇₃	C₂²×D₄	1	4	yes	—
499	Q₈×C₇₃	C₂⁵	1	4	yes	—
500	Q₈×C₇₃	C₂⁵	1	2	yes	—
501	D₄×C₇₃	—	2	12	no	—
502	D₄×C₇₃	—	2	4	no	—
503	D₄×C₇₃	—	2	12	no	—
504	D₄×C₇₃	—	2	12	no	—
505	D₄×C₇₃	—	2	3	no	—
506	D₄×C₇₃	—	2	6	no	—
507	D₄×C₇₃	C₂²×D₄	1	12	yes	—
508	D₄×C₇₃	C₂⁵	1	4	yes	—
509	D₄×C₇₃	C₂⁵	1	6	yes	—
510	C₂×C₄×C₇₃	—	2	1	no	—
511	C₂×C₄×C₇₃	—	2	6	no	—
512	C₂×C₄×C₇₃	—	2	4	no	—
513	C₂×C₄×C₇₃	—	2	12	no	—
514	C₂×C₄×C₇₃	—	2	12	no	—
515	C₂×C₄×C₇₃	C₂²×D₄	1	3	yes	—
516	C₂×C₄×C₇₃	C₂²×D₄	1	6	yes	—
517	C₂×C₄×C₇₃	C₂⁵	1	6	yes	—
518	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
519	C₂²⋊D₇₃	—	2	12	no	—
520	C₂²⋊D₇₃	—	2	4	no	—
521	C₂²⋊D₇₃	—	2	12	no	—
522	C₂²⋊D₇₃	—	2	12	no	—
523	C₂²⋊D₇₃	—	2	4	no	—
524	C₂²⋊D₇₃	—	2	12	no	—
525	C₂²⋊D₇₃	—	2	6	no	—
526	C₂²⋊D₇₃	—	2	24	no	—
527	C₂²⋊D₇₃	—	2	6	no	—
528	C₂²⋊D₇₃	—	2	4	no	—
529	C₂²⋊D₇₃	—	2	12	no	—
530	C₂²⋊D₇₃	C₂²×D₄	1	24	yes	—
531	C₂×Dic₇₃	—	2	1	no	—
532	C₂×Dic₇₃	—	2	6	no	—
533	C₂×Dic₇₃	—	2	4	no	—
534	C₂×Dic₇₃	—	2	12	no	—
535	C₂×Dic₇₃	—	2	12	no	—
536	C₂×Dic₇₃	C₂²×D₄	1	3	yes	—
537	C₂×Dic₇₃	C₂²×D₄	1	6	yes	—
538	C₂×Dic₇₃	C₂²×D₄	1	1	yes	characteristic
539	C₂×Dic₇₃	C₂²×D₄	1	6	yes	—
540	D₂₉₂	—	2	12	no	—
541	D₂₉₂	—	2	4	no	—
542	D₂₉₂	—	2	12	no	—
543	D₂₉₂	—	2	12	no	—
544	D₂₉₂	—	2	3	no	—
545	D₂₉₂	—	2	6	no	—
546	D₂₉₂	C₂²×D₄	1	12	yes	—
547	D₂₉₂	C₂⁵	1	4	yes	—
548	D₂₉₂	C₂⁵	1	6	yes	—
549	C₄×D₇₃	—	2	2	no	—
550	C₄×D₇₃	—	2	2	no	—
551	C₄×D₇₃	—	2	4	no	—
552	C₄×D₇₃	—	2	12	no	—
553	C₄×D₇₃	—	2	4	no	—
554	C₄×D₇₃	—	2	12	no	—
555	C₄×D₇₃	—	2	12	no	—
556	C₄×D₇₃	—	2	4	no	—
557	C₄×D₇₃	—	2	12	no	—
558	C₄×D₇₃	—	2	12	no	—
559	C₄×D₇₃	C₂²×D₄	1	1	yes	characteristic
560	C₄×D₇₃	C₂²×D₄	1	6	yes	—
561	C₄×D₇₃	C₂²×D₄	1	6	yes	—
562	C₄×D₇₃	C₂²×D₄	1	6	yes	—
563	C₄×D₇₃	C₂²×D₄	1	6	yes	—
564	C₄×D₇₃	C₂²×D₄	1	1	yes	characteristic
565	C₄×D₇₃	C₂²×D₄	1	6	yes	—
566	C₄×D₇₃	C₂⁵	1	1	yes	characteristic
567	C₄×D₇₃	C₂⁵	1	6	yes	—
568	C₄×D₇₃	C₂⁵	1	1	yes	characteristic
569	Dic₁₄₆	—	2	6	no	—
570	Dic₁₄₆	—	2	1	no	—
571	Dic₁₄₆	—	2	4	no	—
572	Dic₁₄₆	—	2	12	no	—
573	Dic₁₄₆	—	2	2	no	—
574	Dic₁₄₆	—	2	2	no	—
575	Dic₁₄₆	C₂²×D₄	1	12	yes	—
576	Dic₁₄₆	C₂⁵	1	4	yes	—
577	Dic₁₄₆	C₂⁵	1	2	yes	—
578	C₈×C₇₃	C₂⁵	1	8	yes	—
579	#10596831	C₂⁵	1	8	yes	—
580	C₂²×C₇₃	—	2	4	no	—
581	C₂²×C₇₃	—	2	6	no	—
582	C₂²×C₇₃	—	4	3	no	—
583	C₂²×C₇₃	—	4	6	no	—
584	C₂²×C₇₃	—	8	12	no	—
585	C₂²×C₇₃	—	8	6	no	—
586	C₂²×C₇₃	C₂³×D₄	1	1	yes	characteristic
587	C₂²×C₇₃	C₂³×D₄	1	6	yes	—
588	C₂×D₇₃	—	2	2	no	—
589	C₂×D₇₃	—	2	12	no	—
590	C₂×D₇₃	—	2	4	no	—
591	C₂×D₇₃	—	2	6	no	—
592	C₂×D₇₃	—	4	6	no	—
593	C₂×D₇₃	—	4	3	no	—
594	C₂×D₇₃	—	4	12	no	—
595	C₂×D₇₃	—	4	6	no	—
596	C₂×D₇₃	—	4	12	no	—
597	C₂×D₇₃	—	4	8	no	—
598	C₂×D₇₃	—	8	12	no	—
599	C₂×D₇₃	—	8	24	no	—
600	C₂×D₇₃	—	8	6	no	—
601	C₂×D₇₃	—	8	12	no	—
602	C₂×D₇₃	C₂³×D₄	1	1	yes	characteristic
603	C₂×D₇₃	C₂³×D₄	1	6	yes	—
604	C₂×D₇₃	C₂³×D₄	1	1	yes	characteristic
605	C₄×C₇₃	—	2	4	no	—
606	C₄×C₇₃	—	2	2	no	—
607	C₄×C₇₃	C₂³×D₄	1	6	yes	—
608	C₄×C₇₃	C₂³×D₄	1	1	yes	characteristic
609	C₄×C₇₃	C₂⁶	1	1	yes	characteristic
610	Dic₇₃	—	2	4	no	—
611	Dic₇₃	—	2	2	no	—
612	Dic₇₃	C₂³×D₄	1	1	yes	characteristic
613	Dic₇₃	C₂³×D₄	1	6	yes	—
614	Dic₇₃	C₂³×D₄	1	1	yes	characteristic
615	C₂×#3585	—	73	1	no	maximal, Sylow
616	C₂×C₇₃	—	2	1	no	—
617	C₂×C₇₃	—	2	6	no	—
618	C₂×C₇₃	—	4	6	no	—
619	C₂×C₇₃	—	4	4	no	—
620	C₂×C₇₃	C₂⁴×D₄	1	1	yes	characteristic
621	D₇₃	—	2	1	no	—
622	D₇₃	—	2	6	no	—
623	D₇₃	—	4	6	no	—
624	D₇₃	—	4	4	no	—
625	D₇₃	#3585	1	2	yes	direct product factor
626	C₂×#585	—	73	1	no	—
627	C₂²×H(5,𝔽₂)	—	73	1	no	—
628	#3585	—	73	1	no	—
629	#3585	—	73	1	no	—
630	#3585	—	73	8	no	—
631	#3585	—	73	8	no	—
632	#3585	—	73	6	no	—
633	#3585	—	73	6	no	—
634	#3585	—	73	1	no	—
635	#3585	D₇₃	1	1	yes	characteristic, direct product factor
636	C₂×#577	—	73	8	no	—
637	C₂×#576	—	73	8	no	—
638	C₂×#575	—	73	6	no	—
639	C₂²×AGL(1,ℤ/8)	—	73	6	no	—
640	C₂×#568	—	73	1	no	—
641	C₇₃	C₂×#3585	1	1	yes	characteristic, complemented, Sylow
642	#585	—	73	4	no	—
643	#585	—	73	4	no	—
644	#585	—	73	1	no	—
645	#585	—	73	6	no	—
646	#585	—	146	4	no	—
647	#585	—	146	3	no	—
648	#585	—	146	1	no	—
649	#585	C₂×D₇₃	1	1	yes	characteristic, complemented
650	C₂×2₋¹⁺⁴	—	73	4	no	—
651	C₂×2₋¹⁺⁴	—	146	1	no	—
652	C₂×H(5,𝔽₂)	—	73	8	no	—
653	C₂×H(5,𝔽₂)	—	73	8	no	—
654	C₂×H(5,𝔽₂)	—	73	4	no	—
655	C₂×H(5,𝔽₂)	—	73	1	no	—
656	C₂×H(5,𝔽₂)	—	73	3	no	—
657	C₂×H(5,𝔽₂)	—	73	3	no	—
658	C₂×H(5,𝔽₂)	—	146	3	no	—
659	C₂×H(5,𝔽₂)	—	146	3	no	—
660	C₂×H(5,𝔽₂)	—	146	1	no	—
661	C₂×H(5,𝔽₂)	—	146	4	no	—
662	C₂×H(5,𝔽₂)	—	146	4	no	—
663	C₂×H(5,𝔽₂)	C₂×D₇₃	1	1	yes	characteristic, complemented
664	C₂²×#41	—	73	1	no	—
665	C₂²×#41	—	73	3	no	—
666	C₂²×#41	—	73	6	no	—
667	C₂²×#41	—	146	1	no	—
668	C₂²×#41	—	146	4	no	—
669	C₂³×D₄	—	73	3	no	—
670	C₂³×D₄	—	146	3	no	—
671	#577	—	73	8	no	—
672	#577	—	73	8	no	—
673	#577	—	73	24	no	—
674	#577	—	73	24	no	—
675	#577	—	73	24	no	—
676	#577	—	73	24	no	—
677	#577	—	73	8	no	—
678	#577	C₂×D₇₃	1	8	yes	complemented
679	#576	—	73	8	no	—
680	#576	—	73	8	no	—
681	#576	—	73	24	no	—
682	#576	—	73	24	no	—
683	#576	—	73	24	no	—
684	#576	—	73	24	no	—
685	#576	—	73	8	no	—
686	#576	C₂×D₇₃	1	8	yes	complemented
687	#575	—	73	6	no	—
688	#575	—	73	6	no	—
689	#575	—	73	12	no	—
690	#575	—	73	12	no	—
691	#575	—	73	12	no	—
692	#575	—	73	12	no	—
693	#575	—	73	24	no	—
694	#575	—	73	6	no	—
695	#575	C₂×D₇₃	1	6	yes	complemented
696	C₂×#137	—	73	4	no	—
697	C₂×#137	—	73	12	no	—
698	C₂×AGL(1,ℤ/8)	—	73	6	no	—
699	C₂×AGL(1,ℤ/8)	—	73	6	no	—
700	C₂×AGL(1,ℤ/8)	—	73	24	no	—
701	C₂×AGL(1,ℤ/8)	—	73	24	no	—
702	C₂×AGL(1,ℤ/8)	—	73	12	no	—
703	C₂×AGL(1,ℤ/8)	—	73	24	no	—
704	C₂×AGL(1,ℤ/8)	—	73	12	no	—
705	C₂×AGL(1,ℤ/8)	—	73	12	no	—
706	C₂×AGL(1,ℤ/8)	—	73	12	no	—
707	C₂×AGL(1,ℤ/8)	—	73	6	no	—
708	C₂×AGL(1,ℤ/8)	C₂×D₇₃	1	6	yes	complemented
709	C₂×#135	—	73	24	no	—
710	C₂²×SD₁₆	—	73	12	no	—
711	C₂²×D₈	—	73	12	no	—
712	#568	—	73	1	no	—
713	#568	—	73	8	no	—
714	#568	—	73	6	no	—
715	#568	C₂×D₇₃	1	1	yes	characteristic, complemented
716	C₂×#131	—	73	8	no	—
717	C₂²×M₁₆	—	73	6	no	—
718	C₂⁵	—	146	3	no	—
719	2₋¹⁺⁴	—	2	1	no	—
720	2₋¹⁺⁴	—	73	4	no	—
721	2₋¹⁺⁴	—	73	12	no	—
722	2₋¹⁺⁴	—	73	12	no	—
723	2₋¹⁺⁴	—	146	4	no	—
724	2₋¹⁺⁴	—	146	4	no	—
725	2₋¹⁺⁴	—	146	4	no	—
726	2₋¹⁺⁴	—	146	6	no	—
727	2₋¹⁺⁴	—	146	12	no	—
728	2₋¹⁺⁴	—	146	1	no	—
729	2₋¹⁺⁴	C₂²×D₇₃	1	4	yes	complemented
730	H(5,𝔽₂)	—	2	4	no	—
731	H(5,𝔽₂)	—	2	3	no	—
732	H(5,𝔽₂)	—	73	4	no	—
733	H(5,𝔽₂)	—	73	24	no	—
734	H(5,𝔽₂)	—	73	8	no	—
735	H(5,𝔽₂)	—	73	12	no	—
736	H(5,𝔽₂)	—	73	24	no	—
737	H(5,𝔽₂)	—	73	12	no	—
738	H(5,𝔽₂)	—	146	12	no	—
739	H(5,𝔽₂)	—	146	12	no	—
740	H(5,𝔽₂)	—	146	24	no	—
741	H(5,𝔽₂)	—	146	24	no	—
742	H(5,𝔽₂)	—	146	12	no	—
743	H(5,𝔽₂)	—	146	12	no	—
744	H(5,𝔽₂)	—	146	12	no	—
745	H(5,𝔽₂)	—	146	6	no	—
746	H(5,𝔽₂)	—	146	8	no	—
747	H(5,𝔽₂)	—	146	8	no	—
748	H(5,𝔽₂)	—	146	12	no	—
749	H(5,𝔽₂)	—	146	4	no	—
750	H(5,𝔽₂)	—	146	4	no	—
751	H(5,𝔽₂)	—	146	3	no	—
752	H(5,𝔽₂)	C₂²×D₇₃	1	8	yes	complemented
753	H(5,𝔽₂)	C₂²×D₇₃	1	4	yes	complemented
754	C₂×#41	—	2	4	no	—
755	C₂×#41	—	2	1	no	—
756	C₂×#41	—	73	4	no	—
757	C₂×#41	—	73	4	no	—
758	C₂×#41	—	73	4	no	—
759	C₂×#41	—	73	4	no	—
760	C₂×#41	—	73	1	no	—
761	C₂×#41	—	73	3	no	—
762	C₂×#41	—	73	3	no	—
763	C₂×#41	—	73	12	no	—
764	C₂×#41	—	73	4	no	—
765	C₂×#41	—	73	12	no	—
766	C₂×#41	—	73	12	no	—
767	C₂×#41	—	73	12	no	—
768	C₂×#41	—	73	12	no	—
769	C₂×#41	—	73	3	no	—
770	C₂×#41	—	73	6	no	—
771	C₂×#41	—	73	3	no	—
772	C₂×#41	—	73	6	no	—
773	C₂×#41	—	73	6	no	—
774	C₂×#41	—	73	3	no	—
775	C₂×#41	—	146	3	no	—
776	C₂×#41	—	146	6	no	—
777	C₂×#41	—	146	3	no	—
778	C₂×#41	—	146	12	no	—
779	C₂×#41	—	146	3	no	—
780	C₂×#41	—	146	6	no	—
781	C₂×#41	—	146	6	no	—
782	C₂×#41	—	146	6	no	—
783	C₂×#41	—	146	6	no	—
784	C₂×#41	—	146	6	no	—
785	C₂×#41	—	146	6	no	—
786	C₂×#41	—	146	6	no	—
787	C₂×#41	—	146	3	no	—
788	C₂×#41	—	146	12	no	—
789	C₂×#41	—	146	12	no	—
790	C₂×#41	—	146	4	no	—
791	C₂×#41	—	146	8	no	—
792	C₂×#41	—	146	8	no	—
793	C₂×#41	—	146	4	no	—
794	C₂×#41	—	146	4	no	—
795	C₂×#41	—	146	12	no	—
796	C₂×#41	—	146	12	no	—
797	C₂×#41	—	146	4	no	—
798	C₂×#41	—	146	1	no	—
799	C₂×#41	C₂²×D₇₃	1	1	yes	characteristic
800	C₂×#41	C₂²×D₇₃	1	3	yes	complemented
801	C₂×#41	C₂²×D₇₃	1	6	yes	complemented
802	C₂²×Q₈	—	73	1	no	—
803	C₂²×Q₈	—	73	1	no	—
804	C₂²×Q₈	—	73	6	no	—
805	C₂²×Q₈	—	146	4	no	—
806	C₂²×D₄	—	2	3	no	—
807	C₂²×D₄	—	73	3	no	—
808	C₂²×D₄	—	73	12	no	—
809	C₂²×D₄	—	73	3	no	—
810	C₂²×D₄	—	73	6	no	—
811	C₂²×D₄	—	73	12	no	—
812	C₂²×D₄	—	73	6	no	—
813	C₂²×D₄	—	73	3	no	—
814	C₂²×D₄	—	146	3	no	—
815	C₂²×D₄	—	146	3	no	—
816	C₂²×D₄	—	146	6	no	—
817	C₂²×D₄	—	146	3	no	—
818	C₂²×D₄	—	146	6	no	—
819	C₂²×D₄	—	146	3	no	—
820	C₂²×D₄	—	146	6	no	—
821	C₂²×D₄	—	146	24	no	—
822	C₂²×D₄	—	146	24	no	—
823	C₂²×D₄	—	146	3	no	—
824	C₂²×D₄	—	146	12	no	—
825	C₂²×D₄	—	146	3	no	—
826	C₂²×D₄	—	146	6	no	—
827	C₂²×D₄	—	146	6	no	—
828	C₂²×D₄	—	146	3	no	—
829	C₂²×D₄	C₂²×D₇₃	1	3	yes	complemented
830	C₂³×C₄	—	73	3	no	—
831	C₂³×C₄	—	146	3	no	—
832	C₂³×C₄	—	146	6	no	—
833	#137	—	73	4	no	—
834	#137	—	73	12	no	—
835	#137	—	73	4	no	—
836	#137	—	73	12	no	—
837	#137	—	73	8	no	—
838	#137	—	73	24	no	—
839	#137	—	73	8	no	—
840	#137	—	73	24	no	—
841	#137	—	73	4	no	—
842	#137	—	73	12	no	—
843	#137	C₂²×D₇₃	1	4	yes	complemented
844	#137	C₂²×D₇₃	1	12	yes	complemented
845	AGL(1,ℤ/8)	—	73	12	no	—
846	AGL(1,ℤ/8)	—	73	12	no	—
847	AGL(1,ℤ/8)	—	73	24	no	—
848	AGL(1,ℤ/8)	—	73	12	no	—
849	AGL(1,ℤ/8)	—	73	24	no	—
850	AGL(1,ℤ/8)	—	73	12	no	—
851	AGL(1,ℤ/8)	—	73	24	no	—
852	AGL(1,ℤ/8)	—	73	48	no	—
853	AGL(1,ℤ/8)	—	73	24	no	—
854	AGL(1,ℤ/8)	—	73	24	no	—
855	AGL(1,ℤ/8)	—	73	48	no	—
856	AGL(1,ℤ/8)	—	73	24	no	—
857	AGL(1,ℤ/8)	—	73	12	no	—
858	AGL(1,ℤ/8)	—	73	24	no	—
859	AGL(1,ℤ/8)	—	73	12	no	—
860	AGL(1,ℤ/8)	C₂²×D₇₃	1	12	yes	complemented
861	AGL(1,ℤ/8)	C₂²×D₇₃	1	24	yes	complemented
862	AGL(1,ℤ/8)	C₂²×D₇₃	1	12	yes	complemented
863	#135	—	73	24	no	—
864	#135	—	73	24	no	—
865	#135	—	73	24	no	—
866	#135	—	73	24	no	—
867	#135	—	73	24	no	—
868	#135	—	73	24	no	—
869	#135	—	73	24	no	—
870	#135	C₂²×D₇₃	1	24	yes	complemented
871	C₂×Q₁₆	—	73	8	no	—
872	C₂×SD₁₆	—	73	12	no	—
873	C₂×SD₁₆	—	73	12	no	—
874	C₂×SD₁₆	—	73	24	no	—
875	C₂×SD₁₆	—	73	48	no	—
876	C₂×SD₁₆	—	73	8	no	—
877	C₂×SD₁₆	—	73	12	no	—
878	C₂×SD₁₆	C₂²×D₇₃	1	12	yes	complemented
879	C₂×D₈	—	73	12	no	—
880	C₂×D₈	—	73	12	no	—
881	C₂×D₈	—	73	24	no	—
882	C₂×D₈	—	73	48	no	—
883	C₂×D₈	—	73	12	no	—
884	C₂×D₈	C₂²×D₇₃	1	12	yes	complemented
885	#131	—	73	8	no	—
886	#131	—	73	24	no	—
887	#131	—	73	24	no	—
888	#131	C₂²×D₇₃	1	8	yes	complemented
889	C₂×M₁₆	—	73	6	no	—
890	C₂×M₁₆	—	73	4	no	—
891	C₂×M₁₆	—	73	12	no	—
892	C₂×M₁₆	—	73	12	no	—
893	C₂×M₁₆	—	73	12	no	—
894	C₂×M₁₆	—	73	12	no	—
895	C₂×M₁₆	C₂²×D₇₃	1	6	yes	complemented
896	C₂²×C₈	—	73	12	no	—
897	C₂⁴	—	2	3	no	—
898	C₂⁴	—	584	12	no	—
899	C₂⁴	—	73	3	no	—
900	C₂⁴	—	146	3	no	—
901	C₂⁴	—	146	6	no	—
902	C₂⁴	—	146	6	no	—
903	C₂⁴	—	146	12	no	—
904	C₂⁴	—	146	12	no	—
905	C₂⁴	—	146	3	no	—
906	#41	—	2	8	no	—
907	#41	—	2	4	no	—
908	#41	—	2	12	no	—
909	#41	—	2	6	no	—
910	#41	—	2	6	no	—
911	#41	—	2	6	no	—
912	#41	—	73	4	no	—
913	#41	—	73	4	no	—
914	#41	—	73	12	no	—
915	#41	—	73	12	no	—
916	#41	—	73	12	no	—
917	#41	—	73	12	no	—
918	#41	—	73	12	no	—
919	#41	—	73	4	no	—
920	#41	—	73	12	no	—
921	#41	—	73	12	no	—
922	#41	—	73	4	no	—
923	#41	—	73	12	no	—
924	#41	—	73	12	no	—
925	#41	—	73	4	no	—
926	#41	—	73	12	no	—
927	#41	—	146	4	no	—
928	#41	—	146	12	no	—
929	#41	—	146	12	no	—
930	#41	—	146	12	no	—
931	#41	—	146	12	no	—
932	#41	—	146	12	no	—
933	#41	—	146	24	no	—
934	#41	—	146	12	no	—
935	#41	—	146	24	no	—
936	#41	—	146	12	no	—
937	#41	—	146	4	no	—
938	#41	—	146	12	no	—
939	#41	—	146	6	no	—
940	#41	—	146	12	no	—
941	#41	—	146	12	no	—
942	#41	—	146	6	no	—
943	#41	—	146	12	no	—
944	#41	—	146	12	no	—
945	#41	—	146	6	no	—
946	#41	—	146	6	no	—
947	#41	—	146	6	no	—
948	#41	—	146	6	no	—
949	#41	—	146	24	no	—
950	#41	—	146	24	no	—
951	#41	—	146	12	no	—
952	#41	—	146	12	no	—
953	#41	—	146	8	no	—
954	#41	—	146	4	no	—
955	#41	—	146	12	no	—
956	#41	—	146	6	no	—
957	#41	—	146	6	no	—
958	#41	—	146	6	no	—
959	#41	D₄×D₇₃	1	4	yes	—
960	#41	C₂³×D₇₃	1	12	yes	—
961	#41	C₂³×D₇₃	1	4	yes	—
962	#41	C₂³×D₇₃	1	4	yes	—
963	#41	C₂³×D₇₃	1	12	yes	complemented
964	C₂×Q₈	—	2	4	no	—
965	C₂×Q₈	—	73	4	no	—
966	C₂×Q₈	—	73	4	no	—
967	C₂×Q₈	—	73	3	no	—
968	C₂×Q₈	—	73	4	no	—
969	C₂×Q₈	—	73	2	no	—
970	C₂×Q₈	—	73	2	no	—
971	C₂×Q₈	—	73	12	no	—
972	C₂×Q₈	—	73	1	no	—
973	C₂×Q₈	—	73	6	no	—
974	C₂×Q₈	—	146	1	no	—
975	C₂×Q₈	—	146	6	no	—
976	C₂×Q₈	—	146	12	no	—
977	C₂×Q₈	—	146	6	no	—
978	C₂×Q₈	—	146	1	no	—
979	C₂×Q₈	—	146	1	no	—
980	C₂×Q₈	—	146	6	no	—
981	C₂×Q₈	—	146	12	no	—
982	C₂×Q₈	—	146	4	no	—
983	C₂×Q₈	D₄×D₇₃	1	1	yes	characteristic
984	C₂×Q₈	C₂³×D₇₃	1	1	yes	characteristic
985	C₂×Q₈	C₂³×D₇₃	1	6	yes	complemented
986	C₂×D₄	—	2	3	no	—
987	C₂×D₄	—	2	6	no	—
988	C₂×D₄	—	2	24	no	—
989	C₂×D₄	—	2	12	no	—
990	C₂×D₄	—	2	3	no	—
991	C₂×D₄	—	2	6	no	—
992	C₂×D₄	—	73	6	no	—
993	C₂×D₄	—	73	12	no	—
994	C₂×D₄	—	73	12	no	—
995	C₂×D₄	—	73	4	no	—
996	C₂×D₄	—	73	6	no	—
997	C₂×D₄	—	73	24	no	—
998	C₂×D₄	—	73	6	no	—
999	C₂×D₄	—	73	12	no	—
1000	C₂×D₄	—	73	3	no	—
1001	C₂×D₄	—	73	12	no	—
1002	C₂×D₄	—	73	3	no	—
1003	C₂×D₄	—	73	6	no	—
1004	C₂×D₄	—	146	24	no	—
1005	C₂×D₄	—	146	12	no	—
1006	C₂×D₄	—	146	3	no	—
1007	C₂×D₄	—	146	6	no	—
1008	C₂×D₄	—	146	3	no	—
1009	C₂×D₄	—	146	3	no	—
1010	C₂×D₄	—	146	12	no	—
1011	C₂×D₄	—	146	12	no	—
1012	C₂×D₄	—	146	6	no	—
1013	C₂×D₄	—	146	12	no	—
1014	C₂×D₄	—	146	12	no	—
1015	C₂×D₄	—	146	12	no	—
1016	C₂×D₄	—	146	6	no	—
1017	C₂×D₄	—	146	3	no	—
1018	C₂×D₄	—	146	6	no	—
1019	C₂×D₄	—	146	12	no	—
1020	C₂×D₄	—	146	12	no	—
1021	C₂×D₄	—	146	6	no	—
1022	C₂×D₄	—	146	48	no	—
1023	C₂×D₄	—	146	24	no	—
1024	C₂×D₄	—	146	24	no	—
1025	C₂×D₄	—	146	12	no	—
1026	C₂×D₄	—	146	12	no	—
1027	C₂×D₄	—	146	12	no	—
1028	C₂×D₄	—	146	4	no	—
1029	C₂×D₄	—	146	12	no	—
1030	C₂×D₄	—	146	12	no	—
1031	C₂×D₄	—	146	12	no	—
1032	C₂×D₄	—	146	48	no	—
1033	C₂×D₄	—	146	24	no	—
1034	C₂×D₄	—	146	3	no	—
1035	C₂×D₄	—	146	6	no	—
1036	C₂×D₄	—	146	3	no	—
1037	C₂×D₄	—	146	6	no	—
1038	C₂×D₄	—	146	24	no	—
1039	C₂×D₄	—	146	12	no	—
1040	C₂×D₄	—	146	3	no	—
1041	C₂×D₄	—	146	6	no	—
1042	C₂×D₄	D₄×D₇₃	1	3	yes	—
1043	C₂×D₄	C₂³×D₇₃	1	12	yes	—
1044	C₂×D₄	C₂³×D₇₃	1	3	yes	—
1045	C₂×D₄	C₂³×D₇₃	1	6	yes	complemented
1046	C₂²×C₄	—	2	3	no	—
1047	C₂²×C₄	—	2	6	no	—
1048	C₂²×C₄	—	73	3	no	—
1049	C₂²×C₄	—	73	3	no	—
1050	C₂²×C₄	—	73	6	no	—
1051	C₂²×C₄	—	73	3	no	—
1052	C₂²×C₄	—	73	6	no	—
1053	C₂²×C₄	—	73	6	no	—
1054	C₂²×C₄	—	73	1	no	—
1055	C₂²×C₄	—	73	3	no	—
1056	C₂²×C₄	—	73	6	no	—
1057	C₂²×C₄	—	146	4	no	—
1058	C₂²×C₄	—	146	3	no	—
1059	C₂²×C₄	—	146	12	no	—
1060	C₂²×C₄	—	146	12	no	—
1061	C₂²×C₄	—	146	12	no	—
1062	C₂²×C₄	—	146	6	no	—
1063	C₂²×C₄	—	146	12	no	—
1064	C₂²×C₄	—	146	12	no	—
1065	C₂²×C₄	—	146	1	no	—
1066	C₂²×C₄	—	146	6	no	—
1067	C₂²×C₄	—	146	3	no	—
1068	C₂²×C₄	—	146	6	no	—
1069	C₂²×C₄	—	146	3	no	—
1070	C₂²×C₄	—	146	6	no	—
1071	C₂²×C₄	C₂³×D₇₃	1	3	yes	—
1072	Q₁₆	—	73	8	no	—
1073	Q₁₆	—	73	8	no	—
1074	Q₁₆	—	73	8	no	—
1075	Q₁₆	C₂³×D₇₃	1	8	yes	complemented
1076	SD₁₆	—	73	24	no	—
1077	SD₁₆	—	73	8	no	—
1078	SD₁₆	—	73	24	no	—
1079	SD₁₆	—	73	8	no	—
1080	SD₁₆	—	73	24	no	—
1081	SD₁₆	—	73	8	no	—
1082	SD₁₆	C₂³×D₇₃	1	24	yes	complemented
1083	SD₁₆	C₂³×D₇₃	1	8	yes	complemented
1084	D₈	—	73	24	no	—
1085	D₈	—	73	24	no	—
1086	D₈	—	73	24	no	—
1087	D₈	C₂³×D₇₃	1	24	yes	complemented
1088	M₁₆	—	73	4	no	—
1089	M₁₆	—	73	12	no	—
1090	M₁₆	—	73	8	no	—
1091	M₁₆	—	73	24	no	—
1092	M₁₆	C₂³×D₇₃	1	4	yes	—
1093	M₁₆	C₂³×D₇₃	1	12	yes	complemented
1094	C₂×C₈	—	73	12	no	—
1095	C₂×C₈	—	73	8	no	—
1096	C₂×C₈	—	73	24	no	—
1097	C₂×C₈	C₂³×D₇₃	1	12	yes	complemented
1098	C₂³	—	2	3	no	—
1099	C₂³	—	2	6	no	—
1100	C₂³	—	2	12	no	—
1101	C₂³	—	8	6	no	—
1102	C₂³	—	292	12	no	—
1103	C₂³	—	292	6	no	—
1104	C₂³	—	584	6	no	—
1105	C₂³	—	584	12	no	—
1106	C₂³	—	584	24	no	—
1107	C₂³	—	584	24	no	—
1108	C₂³	—	584	12	no	—
1109	C₂³	—	73	6	no	—
1110	C₂³	—	73	3	no	—
1111	C₂³	—	73	1	no	—
1112	C₂³	—	73	6	no	—
1113	C₂³	—	146	4	no	—
1114	C₂³	—	146	6	no	—
1115	C₂³	—	146	6	no	—
1116	C₂³	—	146	12	no	—
1117	C₂³	—	146	24	no	—
1118	C₂³	—	146	3	no	—
1119	C₂³	—	146	6	no	—
1120	C₂³	—	146	12	no	—
1121	C₂³	C₂×D₄×D₇₃	1	3	yes	—
1122	Q₈	—	2	6	no	—
1123	Q₈	—	2	1	no	—
1124	Q₈	—	73	12	no	—
1125	Q₈	—	73	4	no	—
1126	Q₈	—	73	2	no	—
1127	Q₈	—	146	4	no	—
1128	Q₈	—	146	12	no	—
1129	Q₈	—	146	2	no	—
1130	Q₈	—	146	2	no	—
1131	Q₈	—	146	6	no	—
1132	Q₈	—	146	1	no	—
1133	Q₈	C₂×D₄×D₇₃	1	4	yes	—
1134	Q₈	C₂⁴×D₇₃	1	4	yes	—
1135	Q₈	C₂⁴×D₇₃	1	2	yes	—
1136	D₄	—	2	12	no	—
1137	D₄	—	2	4	no	—
1138	D₄	—	2	12	no	—
1139	D₄	—	2	3	no	—
1140	D₄	—	2	12	no	—
1141	D₄	—	2	6	no	—
1142	D₄	—	73	24	no	—
1143	D₄	—	73	12	no	—
1144	D₄	—	73	4	no	—
1145	D₄	—	73	6	no	—
1146	D₄	—	146	12	no	—
1147	D₄	—	146	4	no	—
1148	D₄	—	146	12	no	—
1149	D₄	—	146	6	no	—
1150	D₄	—	146	6	no	—
1151	D₄	—	146	24	no	—
1152	D₄	—	146	4	no	—
1153	D₄	—	146	12	no	—
1154	D₄	—	146	12	no	—
1155	D₄	—	146	4	no	—
1156	D₄	—	146	12	no	—
1157	D₄	—	146	12	no	—
1158	D₄	—	146	4	no	—
1159	D₄	—	146	12	no	—
1160	D₄	—	146	3	no	—
1161	D₄	—	146	12	no	—
1162	D₄	—	146	6	no	—
1163	D₄	C₂×D₄×D₇₃	1	12	yes	—
1164	D₄	C₂⁴×D₇₃	1	4	yes	—
1165	D₄	C₂⁴×D₇₃	1	6	yes	—
1166	C₂×C₄	—	2	1	no	—
1167	C₂×C₄	—	2	6	no	—
1168	C₂×C₄	—	2	4	no	—
1169	C₂×C₄	—	2	12	no	—
1170	C₂×C₄	—	2	12	no	—
1171	C₂×C₄	—	73	1	no	—
1172	C₂×C₄	—	73	3	no	—
1173	C₂×C₄	—	73	6	no	—
1174	C₂×C₄	—	73	6	no	—
1175	C₂×C₄	—	73	1	no	—
1176	C₂×C₄	—	73	1	no	—
1177	C₂×C₄	—	73	6	no	—
1178	C₂×C₄	—	73	6	no	—
1179	C₂×C₄	—	73	6	no	—
1180	C₂×C₄	—	73	6	no	—
1181	C₂×C₄	—	73	6	no	—
1182	C₂×C₄	—	73	1	no	—
1183	C₂×C₄	—	73	6	no	—
1184	C₂×C₄	—	73	1	no	—
1185	C₂×C₄	—	146	4	no	—
1186	C₂×C₄	—	146	12	no	—
1187	C₂×C₄	—	146	12	no	—
1188	C₂×C₄	—	146	2	no	—
1189	C₂×C₄	—	146	2	no	—
1190	C₂×C₄	—	146	4	no	—
1191	C₂×C₄	—	146	12	no	—
1192	C₂×C₄	—	146	4	no	—
1193	C₂×C₄	—	146	12	no	—
1194	C₂×C₄	—	146	12	no	—
1195	C₂×C₄	—	146	1	no	—
1196	C₂×C₄	—	146	6	no	—
1197	C₂×C₄	—	146	4	no	—
1198	C₂×C₄	—	146	12	no	—
1199	C₂×C₄	—	146	12	no	—
1200	C₂×C₄	C₂×D₄×D₇₃	1	3	yes	—
1201	C₂×C₄	C₂×D₄×D₇₃	1	6	yes	—
1202	C₂×C₄	C₂⁴×D₇₃	1	6	yes	—
1203	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1204	C₈	—	73	8	no	—
1205	C₈	C₂⁴×D₇₃	1	8	yes	—
1206	C₂²	—	2	4	no	—
1207	C₂²	—	2	6	no	—
1208	C₂²	—	4	3	no	—
1209	C₂²	—	4	6	no	—
1210	C₂²	—	8	12	no	—
1211	C₂²	—	8	6	no	—
1212	C₂²	—	292	6	no	—
1213	C₂²	—	292	3	no	—
1214	C₂²	—	292	6	no	—
1215	C₂²	—	292	12	no	—
1216	C₂²	—	292	8	no	—
1217	C₂²	—	292	12	no	—
1218	C₂²	—	584	12	no	—
1219	C₂²	—	584	6	no	—
1220	C₂²	—	584	24	no	—
1221	C₂²	—	584	12	no	—
1222	C₂²	—	73	1	no	—
1223	C₂²	—	73	1	no	—
1224	C₂²	—	73	6	no	—
1225	C₂²	—	146	2	no	—
1226	C₂²	—	146	12	no	—
1227	C₂²	—	146	4	no	—
1228	C₂²	—	146	6	no	—
1229	C₂²	C₂²×D₄×D₇₃	1	1	yes	characteristic
1230	C₂²	C₂²×D₄×D₇₃	1	6	yes	—
1231	C₄	—	2	2	no	—
1232	C₄	—	2	4	no	—
1233	C₄	—	73	1	no	—
1234	C₄	—	73	1	no	—
1235	C₄	—	73	6	no	—
1236	C₄	—	146	2	no	—
1237	C₄	—	146	4	no	—
1238	C₄	C₂²×D₄×D₇₃	1	1	yes	characteristic
1239	C₄	C₂²×D₄×D₇₃	1	6	yes	—
1240	C₄	C₂⁵×D₇₃	1	1	yes	characteristic
1241	C₂	—	2	1	no	—
1242	C₂	—	2	6	no	—
1243	C₂	—	4	6	no	—
1244	C₂	—	4	4	no	—
1245	C₂	—	292	6	no	—
1246	C₂	—	292	4	no	—
1247	C₂	—	73	2	no	—
1248	C₂	—	146	1	no	—
1249	C₂	—	146	6	no	—
1250	C₂	C₂³×D₄×D₇₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂	C₂³×D₄×D₇₃
commutator, cosocle	C₄×C₇₃	C₂⁶
Frattini	C₄	C₂⁵×D₇₃
Fitting	C₇₃×#3585	C₂
socle	C₂×C₇₃	C₂⁴×D₄
hypercenter	#3585	D₇₃
hypocenter	C₇₃	C₂×#3585
LCS	G ▷ C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂ ◁ C₂×#41 ◁ #3585

Complements

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

N	H ≅ G/N	type
1. #585×D₇₃	C₂	semidirect
2. C₂×H(5,𝔽₂)×D₇₃	C₂	semidirect
3. #22624712	C₂	semidirect
4. #22624711	C₂	semidirect
5. #22624710	C₂	semidirect
6. #22624709	C₂	semidirect
7. #22624708	C₂	semidirect
8. #22624707	C₂	semidirect
9. #22624706	C₂	semidirect
10. #577×D₇₃	C₂	semidirect
11. #576×D₇₃	C₂	semidirect
12. #575×D₇₃	C₂	semidirect
13. C₂×AGL(1,ℤ/8)×D₇₃	C₂	semidirect
14. #568×D₇₃	C₂	semidirect
15. C₇₃×#3585	C₂	semidirect
17. #17989424	C₂²	semidirect
19. #17989423	C₂²	semidirect
20. #17989423	C₂²	semidirect
22. #17989422	C₂²	semidirect
24. 2₋¹⁺⁴×D₇₃	C₂²	semidirect
26. C₂×#14556637	C₂²	semidirect
27. C₂×#14556637	C₂²	semidirect
29. C₂×#14556636	C₂²	semidirect
33. H(5,𝔽₂)×D₇₃	C₂²	semidirect
34. H(5,𝔽₂)×D₇₃	C₂²	semidirect
35. H(5,𝔽₂)×D₇₃	C₂²	semidirect
39. C₂×#41×D₇₃	C₂²	semidirect
40. C₂×#41×D₇₃	C₂²	semidirect
42. C₂²×D₄×D₇₃	C₂²	semidirect
43. #17989399	C₂²	semidirect
44. #17989398	C₂²	semidirect
45. #17989397	C₂²	semidirect
46. #17989396	C₂²	semidirect
47. #17989395	C₂²	semidirect
48. #17989394	C₂²	semidirect
49. #17989393	C₂²	semidirect
50. #17989392	C₂²	semidirect
51. #17989391	C₂²	semidirect
52. #17989391	C₂²	semidirect
53. #17989390	C₂²	semidirect
54. #17989390	C₂²	semidirect
55. #17989389	C₂²	semidirect
56. #17989388	C₂²	semidirect
57. #17989387	C₂²	semidirect
58. #17989386	C₂²	semidirect
59. #17989386	C₂²	semidirect
60. #17989385	C₂²	semidirect
61. #17989385	C₂²	semidirect
62. #17989384	C₂²	semidirect
63. #17989383	C₂²	semidirect
64. #17989383	C₂²	semidirect
65. #137×D₇₃	C₂²	semidirect
66. #137×D₇₃	C₂²	semidirect
67. C₂×#14556619	C₂²	semidirect
68. C₂×#14556618	C₂²	semidirect
69. C₂×#14556617	C₂²	semidirect
70. C₂×#14556616	C₂²	semidirect
71. C₂×#14556615	C₂²	semidirect
72. AGL(1,ℤ/8)×D₇₃	C₂²	semidirect
73. AGL(1,ℤ/8)×D₇₃	C₂²	semidirect
74. AGL(1,ℤ/8)×D₇₃	C₂²	semidirect
75. AGL(1,ℤ/8)×D₇₃	C₂²	semidirect
76. AGL(1,ℤ/8)×D₇₃	C₂²	semidirect
77. #135×D₇₃	C₂²	semidirect
78. C₂×SD₁₆×D₇₃	C₂²	semidirect
79. C₂×D₈×D₇₃	C₂²	semidirect
80. #17989354	C₂²	semidirect
81. #17989353	C₂²	semidirect
82. #17989352	C₂²	semidirect
83. #131×D₇₃	C₂²	semidirect
84. C₂×M₁₆×D₇₃	C₂²	semidirect
85. #585×C₇₃	C₂²	semidirect
86. C₂×H(5,𝔽₂)×C₇₃	C₂²	semidirect
87. #577×C₇₃	C₂²	semidirect
88. #576×C₇₃	C₂²	semidirect
89. #575×C₇₃	C₂²	semidirect
90. C₂×AGL(1,ℤ/8)×C₇₃	C₂²	semidirect
91. #568×C₇₃	C₂²	semidirect
96. #14556639	C₂³	semidirect
100. #14556638	C₂³	semidirect
101. #14556638	C₂³	semidirect
109. #14556637	C₂³	semidirect
110. #14556637	C₂³	semidirect
111. #14556637	C₂³	semidirect
112. #14556637	C₂³	semidirect
120. #14556636	C₂³	semidirect
121. #14556636	C₂³	semidirect
125. C₂×#11924029	C₂³	semidirect
126. C₂×#11924029	C₂³	semidirect
132. C₂×#11924028	C₂³	semidirect
133. C₂×#11924028	C₂³	semidirect
139. C₂×#11924027	C₂³	semidirect
140. C₂×#11924027	C₂³	semidirect
161. #41×D₇₃	C₂³	semidirect
162. #41×D₇₃	C₂³	semidirect
163. #41×D₇₃	C₂³	semidirect
164. #41×D₇₃	C₂³	semidirect
168. C₂×Q₈×D₇₃	C₂³	semidirect
170. C₂²×D₂₉₂	C₂³	semidirect
188. C₂×D₄×D₇₃	C₂³	semidirect
189. C₂×D₄×D₇₃	C₂³	semidirect
190. C₂×D₄×D₇₃	C₂³	semidirect
194. #14556624	C₂³	semidirect
195. #14556624	C₂³	semidirect
196. #14556623	C₂³	semidirect
197. #14556623	C₂³	semidirect
198. #14556622	C₂³	semidirect
199. #14556622	C₂³	semidirect
200. #14556621	C₂³	semidirect
201. #14556621	C₂³	semidirect
202. #14556620	C₂³	semidirect
203. #14556620	C₂³	semidirect
204. #14556619	C₂³	semidirect
205. #14556619	C₂³	semidirect
206. #14556619	C₂³	semidirect
207. #14556618	C₂³	semidirect
208. #14556618	C₂³	semidirect
209. #14556618	C₂³	semidirect
210. #14556617	C₂³	semidirect
211. #14556617	C₂³	semidirect
212. #14556617	C₂³	semidirect
213. #14556616	C₂³	semidirect
214. #14556616	C₂³	semidirect
215. #14556616	C₂³	semidirect
216. #14556615	C₂³	semidirect
217. #14556615	C₂³	semidirect
218. #14556615	C₂³	semidirect
219. #14556614	C₂³	semidirect
220. #14556613	C₂³	semidirect
221. #14556612	C₂³	semidirect
222. #14556612	C₂³	semidirect
223. #14556611	C₂³	semidirect
224. #14556611	C₂³	semidirect
225. #14556610	C₂³	semidirect
226. Q₁₆×D₇₃	C₂³	semidirect
227. C₂×#11924017	C₂³	semidirect
228. C₂×#11924016	C₂³	semidirect
229. C₂×#11924015	C₂³	semidirect
230. SD₁₆×D₇₃	C₂³	semidirect
231. SD₁₆×D₇₃	C₂³	semidirect
232. SD₁₆×D₇₃	C₂³	semidirect
233. C₂×D₅₈₄	C₂³	semidirect
234. C₂×#11924013	C₂³	semidirect
235. C₂×#11924013	C₂³	semidirect
236. D₈×D₇₃	C₂³	semidirect
237. D₈×D₇₃	C₂³	semidirect
238. #14556599	C₂³	semidirect
239. #14556598	C₂³	semidirect
240. #14556597	C₂³	semidirect
241. C₂×#11924012	C₂³	semidirect
242. C₂×#11924011	C₂³	semidirect
244. M₁₆×D₇₃	C₂³	semidirect
245. M₁₆×D₇₃	C₂³	semidirect
246. M₁₆×D₇₃	C₂³	semidirect
247. C₂×C₈×D₇₃	C₂³	semidirect
249. 2₋¹⁺⁴×C₇₃	C₂³	semidirect
252. H(5,𝔽₂)×C₇₃	C₂³	semidirect
253. H(5,𝔽₂)×C₇₃	C₂³	semidirect
257. C₂×#41×C₇₃	C₂³	semidirect
258. C₂×#41×C₇₃	C₂³	semidirect
260. C₂²×D₄×C₇₃	C₂³	semidirect
261. #137×C₇₃	C₂³	semidirect
262. #137×C₇₃	C₂³	semidirect
263. AGL(1,ℤ/8)×C₇₃	C₂³	semidirect
264. AGL(1,ℤ/8)×C₇₃	C₂³	semidirect
265. AGL(1,ℤ/8)×C₇₃	C₂³	semidirect
266. #135×C₇₃	C₂³	semidirect
267. C₂×SD₁₆×C₇₃	C₂³	semidirect
268. C₂×D₈×C₇₃	C₂³	semidirect
269. #131×C₇₃	C₂³	semidirect
270. C₂×M₁₆×C₇₃	C₂³	semidirect
289. #11924029	C₂⁴	semidirect
307. #11924028	C₂⁴	semidirect
325. #11924027	C₂⁴	semidirect
331. C₂×Dic₁₄₆	C₂⁴	semidirect
343. Q₈×D₇₃	C₂⁴	semidirect
353. C₂×D₂₉₂	C₂⁴	semidirect
393. D₄×D₇₃	C₂⁴	semidirect
417. Dic₂₉₂	C₂⁴	semidirect
418. #11924018	C₂⁴	semidirect
419. #11924018	C₂⁴	semidirect
420. #11924017	C₂⁴	semidirect
421. #11924017	C₂⁴	semidirect
422. #11924016	C₂⁴	semidirect
423. #11924016	C₂⁴	semidirect
424. #11924015	C₂⁴	semidirect
425. #11924015	C₂⁴	semidirect
426. D₅₈₄	C₂⁴	semidirect
427. #11924013	C₂⁴	semidirect
428. #11924013	C₂⁴	semidirect
430. #11924012	C₂⁴	semidirect
432. #11924011	C₂⁴	semidirect
433. C₂×#10596831	C₂⁴	semidirect
435. C₈×D₇₃	C₂⁴	semidirect
447. #41×C₇₃	C₂⁴	semidirect
451. C₂×Q₈×C₇₃	C₂⁴	semidirect
461. C₂×D₄×C₇₃	C₂⁴	semidirect
465. Q₁₆×C₇₃	C₂⁴	semidirect
466. SD₁₆×C₇₃	C₂⁴	semidirect
467. SD₁₆×C₇₃	C₂⁴	semidirect
468. D₈×C₇₃	C₂⁴	semidirect
470. M₁₆×C₇₃	C₂⁴	semidirect
471. C₂×C₈×C₇₃	C₂⁴	semidirect
625. D₇₃	#3585	direct (N × H)
635. #3585	D₇₃	direct (N × H)
641. C₇₃	C₂×#3585	semidirect
649. #585	C₂×D₇₃	semidirect
663. C₂×H(5,𝔽₂)	C₂×D₇₃	semidirect
678. #577	C₂×D₇₃	semidirect
686. #576	C₂×D₇₃	semidirect
695. #575	C₂×D₇₃	semidirect
708. C₂×AGL(1,ℤ/8)	C₂×D₇₃	semidirect
715. #568	C₂×D₇₃	semidirect
729. 2₋¹⁺⁴	C₂²×D₇₃	semidirect
752. H(5,𝔽₂)	C₂²×D₇₃	semidirect
753. H(5,𝔽₂)	C₂²×D₇₃	semidirect
800. C₂×#41	C₂²×D₇₃	semidirect
801. C₂×#41	C₂²×D₇₃	semidirect
829. C₂²×D₄	C₂²×D₇₃	semidirect
843. #137	C₂²×D₇₃	semidirect
844. #137	C₂²×D₇₃	semidirect
860. AGL(1,ℤ/8)	C₂²×D₇₃	semidirect
861. AGL(1,ℤ/8)	C₂²×D₇₃	semidirect
862. AGL(1,ℤ/8)	C₂²×D₇₃	semidirect
870. #135	C₂²×D₇₃	semidirect
878. C₂×SD₁₆	C₂²×D₇₃	semidirect
884. C₂×D₈	C₂²×D₇₃	semidirect
888. #131	C₂²×D₇₃	semidirect
895. C₂×M₁₆	C₂²×D₇₃	semidirect
963. #41	C₂³×D₇₃	semidirect
985. C₂×Q₈	C₂³×D₇₃	semidirect
1045. C₂×D₄	C₂³×D₇₃	semidirect
1075. Q₁₆	C₂³×D₇₃	semidirect
1082. SD₁₆	C₂³×D₇₃	semidirect
1083. SD₁₆	C₂³×D₇₃	semidirect
1087. D₈	C₂³×D₇₃	semidirect
1093. M₁₆	C₂³×D₇₃	semidirect
1097. C₂×C₈	C₂³×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#585×D₇₃	2
C₂×H(5,𝔽₂)×D₇₃	2
#22624712	2
#22624711	2
#22624710	2
#22624709	2
#22624708	2
#22624707	2
#22624706	2
#577×D₇₃	2
#576×D₇₃	2
#575×D₇₃	2
C₂×AGL(1,ℤ/8)×D₇₃	2
#568×D₇₃	2
C₇₃×#3585	2
C₂×#3585	73

Subgroups — #3585×D73 #33999819

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #3585×D₇₃ #33999819