Subgroups — C₂×#22624709 #33999823

Order 18688.

11138 conjugacy classes of subgroups.

The subgroup lattice has 1120 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

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

	subgroup	G/H
center	C₂²	C₂²×D₄×D₇₃
commutator, cosocle	C₄×C₇₃	C₂⁶
Frattini	C₄	C₂⁵×D₇₃
Fitting	C₂×#577×C₇₃	C₂
socle	C₂²×C₇₃	C₂³×D₄
hypercenter	C₂×#577	D₇₃
hypocenter	C₇₃	C₂×#3585
LCS	G ▷ C₄×C₇₃ ▷ C₂×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂² ◁ C₂×#41 ◁ C₂×#577

Complements

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

N	H ≅ G/N	type
1. C₂×#17989424	C₂	semidirect
2. C₂×H(5,𝔽₂)×D₇₃	C₂	semidirect
3. #22624709	C₂	direct (N × H)
4. C₂×#17989396	C₂	semidirect
5. C₂×#17989395	C₂	semidirect
6. C₂×#17989393	C₂	semidirect
7. C₂×#17989392	C₂	semidirect
8. C₂×#17989391	C₂	semidirect
9. C₂×#17989390	C₂	semidirect
10. C₂×#17989389	C₂	semidirect
11. C₂×#17989386	C₂	semidirect
12. C₂×#17989384	C₂	semidirect
13. C₂²×#14556618	C₂	semidirect
14. C₂×AGL(1,ℤ/8)×D₇₃	C₂	semidirect
15. C₂×#17989352	C₂	semidirect
16. C₂×#577×C₇₃	C₂	semidirect
18. #17989424	C₂²	semidirect
20. C₂×#14556639	C₂²	semidirect
23. C₂×#14556637	C₂²	semidirect
24. C₂×#14556637	C₂²	semidirect
25. C₂×#14556637	C₂²	semidirect
26. C₂×#14556637	C₂²	semidirect
28. C₂×#14556636	C₂²	semidirect
30. H(5,𝔽₂)×D₇₃	C₂²	semidirect
32. C₂²×#11924029	C₂²	semidirect
36. C₂×#41×D₇₃	C₂²	semidirect
37. C₂×#41×D₇₃	C₂²	semidirect
39. C₂²×D₄×D₇₃	C₂²	semidirect
40. #17989396	C₂²	semidirect
41. #17989395	C₂²	semidirect
42. #17989393	C₂²	semidirect
43. #17989392	C₂²	semidirect
44. #17989391	C₂²	semidirect
45. #17989390	C₂²	semidirect
46. #17989389	C₂²	semidirect
47. #17989386	C₂²	semidirect
48. #17989384	C₂²	semidirect
49. C₂×#14556623	C₂²	semidirect
50. C₂×#14556623	C₂²	semidirect
51. C₂×#14556622	C₂²	semidirect
52. C₂×#14556620	C₂²	semidirect
53. C₂×#14556620	C₂²	semidirect
54. C₂×#14556619	C₂²	semidirect
55. C₂×#14556619	C₂²	semidirect
56. C₂×#14556618	C₂²	semidirect
57. C₂×#14556618	C₂²	semidirect
58. C₂×#14556618	C₂²	semidirect
59. C₂×#14556618	C₂²	semidirect
60. C₂×#14556618	C₂²	semidirect
61. C₂×#14556618	C₂²	semidirect
62. C₂×#14556617	C₂²	semidirect
63. C₂×#14556616	C₂²	semidirect
64. C₂×#14556616	C₂²	semidirect
65. C₂×#14556615	C₂²	semidirect
66. C₂×#14556615	C₂²	semidirect
67. AGL(1,ℤ/8)×D₇₃	C₂²	semidirect
68. C₂×#14556614	C₂²	semidirect
69. C₂×#14556613	C₂²	semidirect
70. C₂×#14556612	C₂²	semidirect
71. C₂×#14556611	C₂²	semidirect
72. C₂×#14556611	C₂²	semidirect
73. C₂²×#11924015	C₂²	semidirect
74. C₂×SD₁₆×D₇₃	C₂²	semidirect
75. C₂²×D₅₈₄	C₂²	semidirect
76. C₂²×#11924013	C₂²	semidirect
77. C₂×D₈×D₇₃	C₂²	semidirect
78. #17989352	C₂²	semidirect
79. C₂×#14556599	C₂²	semidirect
80. C₂×#14556598	C₂²	semidirect
81. C₂×#14556597	C₂²	semidirect
82. C₂²×#11924011	C₂²	semidirect
83. C₂×M₁₆×D₇₃	C₂²	semidirect
84. C₂×2₋¹⁺⁴×C₇₃	C₂²	semidirect
85. C₂×H(5,𝔽₂)×C₇₃	C₂²	semidirect
86. #577×C₇₃	C₂²	semidirect
87. C₂×#137×C₇₃	C₂²	semidirect
88. C₂×AGL(1,ℤ/8)×C₇₃	C₂²	semidirect
89. C₂×#135×C₇₃	C₂²	semidirect
90. C₂²×SD₁₆×C₇₃	C₂²	semidirect
91. C₂×#131×C₇₃	C₂²	semidirect
95. #14556639	C₂³	semidirect
102. #14556637	C₂³	semidirect
103. #14556637	C₂³	semidirect
104. #14556637	C₂³	semidirect
105. #14556637	C₂³	semidirect
108. #14556636	C₂³	semidirect
119. C₂×#11924029	C₂³	semidirect
120. C₂×#11924029	C₂³	semidirect
128. C₂×#11924028	C₂³	semidirect
141. #41×D₇₃	C₂³	semidirect
142. #41×D₇₃	C₂³	semidirect
146. C₂×Q₈×D₇₃	C₂³	semidirect
151. C₂²×D₂₉₂	C₂³	semidirect
168. C₂×D₄×D₇₃	C₂³	semidirect
169. C₂×D₄×D₇₃	C₂³	semidirect
174. #14556623	C₂³	semidirect
175. #14556623	C₂³	semidirect
176. #14556622	C₂³	semidirect
177. #14556620	C₂³	semidirect
178. #14556620	C₂³	semidirect
179. #14556619	C₂³	semidirect
180. #14556619	C₂³	semidirect
181. #14556618	C₂³	semidirect
182. #14556618	C₂³	semidirect
183. #14556618	C₂³	semidirect
184. #14556618	C₂³	semidirect
185. #14556618	C₂³	semidirect
186. #14556617	C₂³	semidirect
187. #14556616	C₂³	semidirect
188. #14556616	C₂³	semidirect
189. #14556615	C₂³	semidirect
190. #14556615	C₂³	semidirect
191. #14556614	C₂³	semidirect
192. #14556613	C₂³	semidirect
193. #14556612	C₂³	semidirect
194. #14556611	C₂³	semidirect
195. #14556611	C₂³	semidirect
196. C₂×Dic₂₉₂	C₂³	semidirect
197. C₂×#11924018	C₂³	semidirect
198. C₂×#11924018	C₂³	semidirect
199. C₂×#11924017	C₂³	semidirect
200. C₂×#11924017	C₂³	semidirect
201. C₂×#11924016	C₂³	semidirect
202. C₂×#11924016	C₂³	semidirect
203. C₂×#11924015	C₂³	semidirect
204. C₂×#11924015	C₂³	semidirect
205. C₂×#11924015	C₂³	semidirect
206. C₂×#11924015	C₂³	semidirect
207. SD₁₆×D₇₃	C₂³	semidirect
208. C₂×D₅₈₄	C₂³	semidirect
209. C₂×D₅₈₄	C₂³	semidirect
210. C₂×D₅₈₄	C₂³	semidirect
211. C₂×#11924013	C₂³	semidirect
212. C₂×#11924013	C₂³	semidirect
213. C₂×#11924013	C₂³	semidirect
214. C₂×#11924013	C₂³	semidirect
215. D₈×D₇₃	C₂³	semidirect
216. #14556599	C₂³	semidirect
217. #14556598	C₂³	semidirect
218. #14556597	C₂³	semidirect
219. C₂×#11924012	C₂³	semidirect
222. C₂×#11924011	C₂³	semidirect
223. C₂×#11924011	C₂³	semidirect
224. C₂×#11924011	C₂³	semidirect
225. M₁₆×D₇₃	C₂³	semidirect
226. C₂²×#10596831	C₂³	semidirect
227. C₂×C₈×D₇₃	C₂³	semidirect
229. 2₋¹⁺⁴×C₇₃	C₂³	semidirect
231. H(5,𝔽₂)×C₇₃	C₂³	semidirect
236. C₂×#41×C₇₃	C₂³	semidirect
238. C₂²×Q₈×C₇₃	C₂³	semidirect
241. #137×C₇₃	C₂³	semidirect
242. AGL(1,ℤ/8)×C₇₃	C₂³	semidirect
243. #135×C₇₃	C₂³	semidirect
244. C₂×Q₁₆×C₇₃	C₂³	semidirect
245. C₂×SD₁₆×C₇₃	C₂³	semidirect
246. C₂×SD₁₆×C₇₃	C₂³	semidirect
247. C₂×SD₁₆×C₇₃	C₂³	semidirect
248. C₂×SD₁₆×C₇₃	C₂³	semidirect
249. C₂×D₈×C₇₃	C₂³	semidirect
250. #131×C₇₃	C₂³	semidirect
251. C₂×M₁₆×C₇₃	C₂³	semidirect
252. C₂²×C₈×C₇₃	C₂³	semidirect
272. #11924029	C₂⁴	semidirect
283. #11924028	C₂⁴	semidirect
302. Q₈×D₇₃	C₂⁴	semidirect
317. C₂×D₂₉₂	C₂⁴	semidirect
343. D₄×D₇₃	C₂⁴	semidirect
363. Dic₂₉₂	C₂⁴	semidirect
364. #11924018	C₂⁴	semidirect
365. #11924018	C₂⁴	semidirect
366. #11924017	C₂⁴	semidirect
367. #11924017	C₂⁴	semidirect
368. #11924016	C₂⁴	semidirect
369. #11924016	C₂⁴	semidirect
370. #11924015	C₂⁴	semidirect
371. #11924015	C₂⁴	semidirect
372. #11924015	C₂⁴	semidirect
373. D₅₈₄	C₂⁴	semidirect
374. D₅₈₄	C₂⁴	semidirect
375. #11924013	C₂⁴	semidirect
376. #11924013	C₂⁴	semidirect
377. #11924013	C₂⁴	semidirect
378. #11924012	C₂⁴	semidirect
381. #11924011	C₂⁴	semidirect
382. #11924011	C₂⁴	semidirect
385. C₂×#10596831	C₂⁴	semidirect
386. C₈×D₇₃	C₂⁴	semidirect
395. #41×C₇₃	C₂⁴	semidirect
402. C₂×Q₈×C₇₃	C₂⁴	semidirect
416. Q₁₆×C₇₃	C₂⁴	semidirect
417. SD₁₆×C₇₃	C₂⁴	semidirect
418. SD₁₆×C₇₃	C₂⁴	semidirect
419. SD₁₆×C₇₃	C₂⁴	semidirect
420. D₈×C₇₃	C₂⁴	semidirect
421. M₁₆×C₇₃	C₂⁴	semidirect
424. C₂×C₈×C₇₃	C₂⁴	semidirect
554. C₂×C₇₃	#3585	semidirect
566. C₂×#577	D₇₃	semidirect
576. C₇₃	C₂×#3585	semidirect
581. C₂×2₋¹⁺⁴	C₂×D₇₃	semidirect
592. C₂×H(5,𝔽₂)	C₂×D₇₃	semidirect
605. #577	C₂×D₇₃	semidirect
617. C₂×#137	C₂×D₇₃	semidirect
632. C₂×AGL(1,ℤ/8)	C₂×D₇₃	semidirect
638. C₂×#135	C₂×D₇₃	semidirect
641. C₂²×SD₁₆	C₂×D₇₃	semidirect
649. C₂×#131	C₂×D₇₃	semidirect
657. 2₋¹⁺⁴	C₂²×D₇₃	semidirect
672. H(5,𝔽₂)	C₂²×D₇₃	semidirect
711. C₂×#41	C₂²×D₇₃	semidirect
717. C₂²×Q₈	C₂²×D₇₃	semidirect
752. #137	C₂²×D₇₃	semidirect
765. AGL(1,ℤ/8)	C₂²×D₇₃	semidirect
771. #135	C₂²×D₇₃	semidirect
775. C₂×Q₁₆	C₂²×D₇₃	semidirect
785. C₂×SD₁₆	C₂²×D₇₃	semidirect
786. C₂×SD₁₆	C₂²×D₇₃	semidirect
787. C₂×SD₁₆	C₂²×D₇₃	semidirect
788. C₂×SD₁₆	C₂²×D₇₃	semidirect
797. C₂×D₈	C₂²×D₇₃	semidirect
801. #131	C₂²×D₇₃	semidirect
809. C₂×M₁₆	C₂²×D₇₃	semidirect
812. C₂²×C₈	C₂²×D₇₃	semidirect
860. #41	C₂³×D₇₃	semidirect
878. C₂×Q₈	C₂³×D₇₃	semidirect
955. Q₁₆	C₂³×D₇₃	semidirect
963. SD₁₆	C₂³×D₇₃	semidirect
964. SD₁₆	C₂³×D₇₃	semidirect
965. SD₁₆	C₂³×D₇₃	semidirect
971. D₈	C₂³×D₇₃	semidirect
977. M₁₆	C₂³×D₇₃	semidirect
984. C₂×C₈	C₂³×D₇₃	semidirect
1117. C₂	#22624709	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#17989424	2
C₂×H(5,𝔽₂)×D₇₃	2
#22624709	2
C₂×#17989396	2
C₂×#17989395	2
C₂×#17989393	2
C₂×#17989392	2
C₂×#17989391	2
C₂×#17989390	2
C₂×#17989389	2
C₂×#17989386	2
C₂×#17989384	2
C₂²×#14556618	2
C₂×AGL(1,ℤ/8)×D₇₃	2
C₂×#17989352	2
C₂×#577×C₇₃	2
C₂×#3585	73

Subgroups — C2×#22624709 #33999823

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#22624709 #33999823