Subgroups — #2994×D₇₃ #33951078

Order 18688.

1982 conjugacy classes of subgroups.

The subgroup lattice has 1156 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#529×D₇₃	C₂	1	1	yes	maximal, characteristic
2	#22619094	C₂	1	1	yes	maximal, characteristic, complemented
3	#22619093	C₂	1	1	yes	maximal, characteristic, complemented
4	#22619092	C₂	1	1	yes	maximal, characteristic, complemented
5	#22619091	C₂	1	1	yes	maximal, characteristic, complemented
6	#22619090	C₂	1	1	yes	maximal, characteristic, complemented
7	#22619089	C₂	1	2	yes	maximal, complemented
8	#22619088	C₂	1	2	yes	maximal, complemented
9	#22619087	C₂	1	1	yes	maximal, characteristic, complemented
10	#22619086	C₂	1	1	yes	maximal, characteristic, complemented
11	#22619085	C₂	1	2	yes	maximal, complemented
12	#22619084	C₂	1	2	yes	maximal, complemented
13	#446×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
14	C₈×Q₈×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
15	#436×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
16	#435×D₇₃	C₂	1	2	yes	maximal, complemented
17	C₈×D₄×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
18	C₈×D₄×D₇₃	C₂	1	2	yes	maximal, complemented
19	#433×D₇₃	C₂	1	2	yes	maximal, complemented
20	#431×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
21	#424×D₇₃	C₂	1	2	yes	maximal, complemented
22	C₂×C₄⋊C₈×D₇₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₇₃×#2994	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×M₁₆×D₇₃	C₂²	1	2	yes	—
25	C₂²×C₈×D₇₃	C₂²	1	2	yes	—
26	C₂²×C₈×D₇₃	C₂²	1	2	yes	—
27	#17989124	C₂²	1	1	yes	characteristic
28	#17989123	C₄	1	1	yes	characteristic
29	#17989122	C₄	1	1	yes	characteristic
30	#17989121	C₂²	1	1	yes	characteristic
31	#17989120	C₄	1	2	yes	—
32	#17989119	C₂²	1	1	yes	characteristic
33	#17989118	C₄	1	1	yes	characteristic
34	#17989117	C₂²	1	2	yes	—
35	#17989116	C₄	1	1	yes	characteristic
36	#17989115	C₂²	1	2	yes	—
37	#17989114	C₄	1	2	yes	—
38	#126×D₇₃	C₄	1	2	yes	—
39	#125×D₇₃	C₄	1	1	yes	characteristic
40	#124×D₇₃	C₄	1	1	yes	characteristic
41	#123×D₇₃	C₄	1	2	yes	—
42	C₂²⋊Q₈×D₇₃	C₄	1	1	yes	characteristic
43	#121×D₇₃	C₄	1	1	yes	characteristic
44	C₄×Q₈×D₇₃	C₂²	1	1	yes	characteristic
45	C₄×D₄×D₇₃	C₂²	1	2	yes	—
46	C₄×D₄×D₇₃	C₂²	1	1	yes	characteristic
47	#117×D₇₃	C₂²	1	2	yes	—
48	C₂×C₄²×D₇₃	C₂²	1	1	yes	characteristic
49	#17988718	C₂²	1	1	yes	characteristic, complemented
50	#17988717	C₂²	1	1	yes	characteristic, complemented
51	#17988716	C₂²	1	2	yes	complemented
52	#17988715	C₂²	1	2	yes	complemented
53	#17988714	C₂²	1	1	yes	characteristic, complemented
54	Q₈×#10596831	C₂²	1	1	yes	characteristic, complemented
55	C₈×Dic₁₄₆	C₂²	1	2	yes	complemented
56	C₈×Dic₁₄₆	C₂²	1	1	yes	characteristic, complemented
57	#17988711	C₂²	1	2	yes	complemented
58	#17988711	C₂²	1	1	yes	characteristic, complemented
59	#17988666	C₂²	1	1	yes	characteristic, complemented
60	#17988665	C₂²	1	1	yes	characteristic, complemented
61	#17988664	C₂²	1	1	yes	characteristic, complemented
62	#17988663	C₂²	1	2	yes	complemented
63	#17988662	C₂²	1	2	yes	complemented
64	#17988661	C₂²	1	2	yes	complemented
65	#17988660	C₂²	1	2	yes	complemented
66	#17988659	C₂²	1	2	yes	complemented
67	#17988658	C₂²	1	2	yes	complemented
68	#17988657	C₂²	1	2	yes	complemented
69	#17988656	C₂²	1	2	yes	complemented
70	#17988655	C₂²	1	2	yes	complemented
71	C₈×D₂₉₂	C₂²	1	2	yes	complemented
72	C₈×D₂₉₂	C₂²	1	1	yes	characteristic, complemented
73	D₄×#10596831	C₂²	1	2	yes	complemented
74	D₄×#10596831	C₂²	1	1	yes	characteristic, complemented
75	#17988652	C₂²	1	1	yes	characteristic, complemented
76	#17988652	C₂²	1	2	yes	complemented
77	C₈×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
78	C₈×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
79	C₈×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
80	#17988650	C₂²	1	2	yes	complemented
81	#17988650	C₂²	1	2	yes	complemented
82	#17988650	C₂²	1	2	yes	complemented
83	#17988649	C₂²	1	2	yes	complemented
84	#17988648	C₂²	1	2	yes	complemented
85	#17988647	C₂²	1	2	yes	complemented
86	#17988647	C₂²	1	2	yes	complemented
87	#17988646	C₂²	1	2	yes	complemented
88	#17988645	C₂²	1	2	yes	complemented
89	#17988645	C₂²	1	2	yes	complemented
90	#17988640	C₂²	1	1	yes	characteristic, complemented
91	#17988639	C₂²	1	1	yes	characteristic, complemented
92	#17988639	C₂²	1	1	yes	characteristic, complemented
93	#17988638	C₂²	1	1	yes	characteristic, complemented
94	#17988638	C₂²	1	1	yes	characteristic, complemented
95	#17988637	C₂²	1	1	yes	characteristic, complemented
96	#17988637	C₂²	1	1	yes	characteristic, complemented
97	#17988615	C₂²	1	2	yes	complemented
98	#17988614	C₂²	1	2	yes	complemented
99	#17988613	C₂²	1	2	yes	complemented
100	#17988612	C₂²	1	2	yes	complemented
101	#17988612	C₂²	1	2	yes	complemented
102	#17988612	C₂²	1	2	yes	complemented
103	#17988612	C₂²	1	2	yes	complemented
104	C₂×C₄⋊#10596831	C₂²	1	1	yes	characteristic, complemented
105	C₂×#14556520	C₂²	1	2	yes	complemented
106	C₄⋊C₈×D₇₃	C₂²	1	2	yes	—
107	C₄⋊C₈×D₇₃	C₂²	1	1	yes	characteristic
108	C₄⋊C₈×D₇₃	C₂²	1	1	yes	characteristic
109	C₄⋊C₈×D₇₃	C₂²	1	1	yes	characteristic
110	C₄⋊C₈×D₇₃	C₂²	1	2	yes	—
111	C₄⋊C₈×D₇₃	C₂²	1	2	yes	—
112	C₄⋊C₈×D₇₃	C₂²	1	1	yes	characteristic
113	C₄⋊C₈×D₇₃	C₂²	1	2	yes	complemented
114	C₄⋊C₈×D₇₃	C₂²	1	1	yes	characteristic, complemented
115	C₄⋊C₈×D₇₃	C₂²	1	1	yes	characteristic, complemented
116	C₂²⋊C₈×D₇₃	C₂²	1	1	yes	characteristic
117	C₂²⋊C₈×D₇₃	C₂²	1	1	yes	characteristic
118	C₂²⋊C₈×D₇₃	C₂²	1	2	yes	—
119	C₂²⋊C₈×D₇₃	C₂²	1	2	yes	—
120	#97×D₇₃	C₂²	1	2	yes	—
121	C₄×C₈×D₇₃	C₂²	1	1	yes	characteristic
122	C₄×C₈×D₇₃	C₂²	1	1	yes	characteristic
123	C₄×C₈×D₇₃	C₂²	1	2	yes	—
124	#529×C₇₃	C₂²	1	1	yes	characteristic
125	#446×C₇₃	C₂²	1	1	yes	characteristic, complemented
126	C₈×Q₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
127	#436×C₇₃	C₂²	1	1	yes	characteristic, complemented
128	#435×C₇₃	C₂²	1	2	yes	complemented
129	C₈×D₄×C₇₃	C₂²	1	1	yes	characteristic, complemented
130	C₈×D₄×C₇₃	C₂²	1	2	yes	complemented
131	#433×C₇₃	C₂²	1	2	yes	complemented
132	#431×C₇₃	C₂²	1	1	yes	characteristic, complemented
133	#424×C₇₃	C₂²	1	2	yes	complemented
134	C₂×C₄⋊C₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
135	C₂×Q₈×D₇₃	C₂×C₄	1	1	yes	characteristic
136	C₂×D₄×D₇₃	C₂×C₄	1	2	yes	—
137	C₂×D₄×D₇₃	C₂×C₄	1	1	yes	characteristic
138	C₂²×C₄×D₇₃	C₂×C₄	1	1	yes	characteristic
139	C₂²×C₄×D₇₃	C₂×C₄	1	1	yes	characteristic
140	C₂²×C₄×D₇₃	C₂³	1	1	yes	characteristic
141	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
142	C₂×#11924012	C₂³	1	2	yes	—
143	C₂×#11924011	C₂³	1	2	yes	—
144	C₂×#11924011	C₂³	1	2	yes	—
145	M₁₆×D₇₃	—	4	4	no	—
146	C₂²×#10596831	C₂³	1	2	yes	—
147	C₂²×#10596831	C₂³	1	2	yes	—
148	C₂×C₈×D₇₃	—	4	4	no	—
149	C₂×C₈×D₇₃	—	4	4	no	—
150	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
151	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
152	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
153	C₂×C₈×D₇₃	C₂³	1	2	yes	—
154	C₂×C₈×D₇₃	C₂³	1	1	yes	characteristic
155	C₂×C₈×D₇₃	C₂³	1	2	yes	—
156	C₂×C₈×D₇₃	C₂³	1	2	yes	—
157	C₂×C₈×D₇₃	C₂³	1	2	yes	—
158	C₂×C₈×D₇₃	C₂³	1	2	yes	—
159	C₂×C₈×D₇₃	C₂³	1	2	yes	—
160	#14556586	C₂×C₄	1	2	yes	—
161	#14556586	C₂×C₄	1	2	yes	—
162	#14556586	C₂×C₄	1	2	yes	—
163	#14556585	C₂×C₄	1	2	yes	—
164	#14556584	C₂×C₄	1	2	yes	—
165	#14556584	C₂×C₄	1	2	yes	—
166	#14556584	C₂×C₄	1	2	yes	—
167	#14556583	C₂×C₄	1	1	yes	characteristic
168	#14556582	C₂×C₄	1	1	yes	characteristic
169	#14556582	C₂×C₄	1	1	yes	characteristic
170	#14556581	C₂×C₄	1	2	yes	—
171	#14556581	C₂×C₄	1	2	yes	—
172	#14556580	C₂×C₄	1	1	yes	characteristic
173	#14556579	C₂×C₄	1	1	yes	characteristic
174	#14556578	C₂×C₄	1	1	yes	characteristic
175	#14556577	C₂×C₄	1	2	yes	—
176	#14556577	C₂×C₄	1	2	yes	—
177	#14556576	C₂×C₄	1	2	yes	—
178	#14556576	C₂×C₄	1	2	yes	—
179	#14556575	C₂×C₄	1	2	yes	—
180	#14556574	C₂×C₄	1	2	yes	—
181	#14556573	C₂×C₄	1	2	yes	—
182	#14556573	C₂×C₄	1	2	yes	—
183	#14556572	C₂×C₄	1	2	yes	—
184	#14556571	C₂×C₄	1	1	yes	characteristic
185	#14556570	C₂×C₄	1	1	yes	characteristic
186	#14556569	C₂×C₄	1	2	yes	—
187	#14556568	C₂×C₄	1	2	yes	—
188	#14556567	C₂×C₄	1	1	yes	characteristic
189	#14556566	C₂×C₄	1	1	yes	characteristic
190	#14556565	C₂×C₄	1	1	yes	characteristic
191	#14556564	C₂×C₄	1	2	yes	—
192	#14556563	C₂×C₄	1	2	yes	—
193	#14556562	C₂×C₄	1	1	yes	characteristic
194	Q₈×Dic₇₃	C₂×C₄	1	1	yes	characteristic
195	C₄×Dic₁₄₆	C₂³	1	1	yes	characteristic
196	C₄×Dic₁₄₆	C₂³	1	2	yes	—
197	#14556556	C₂×C₄	1	2	yes	—
198	#14556556	C₂×C₄	1	1	yes	characteristic
199	C₄×D₂₉₂	C₂³	1	1	yes	characteristic
200	C₄×D₂₉₂	C₂³	1	2	yes	—
201	D₄×Dic₇₃	C₂×C₄	1	2	yes	—
202	D₄×Dic₇₃	C₂×C₄	1	1	yes	characteristic
203	#14556553	C₂×C₄	1	2	yes	—
204	#14556553	C₂×C₄	1	1	yes	characteristic
205	C₄×C₂²⋊D₇₃	C₂³	1	2	yes	—
206	C₄×C₂²⋊D₇₃	C₂³	1	2	yes	—
207	C₄×C₂²⋊D₇₃	C₂³	1	2	yes	—
208	#14556551	C₂×C₄	1	2	yes	—
209	#14556551	C₂×C₄	1	2	yes	—
210	#14556551	C₂×C₄	1	2	yes	—
211	#14556550	C₂³	1	2	yes	—
212	#14556549	C₂×C₄	1	2	yes	—
213	#14556549	C₂×C₄	1	2	yes	—
214	#14556548	C₂³	1	2	yes	—
215	#14556548	C₂³	1	2	yes	—
216	#14556547	C₂×C₄	1	2	yes	—
217	#14556547	C₂×C₄	1	2	yes	—
218	C₄⋊C₄×D₇₃	C₂×C₄	1	2	yes	—
219	C₄⋊C₄×D₇₃	C₂×C₄	1	2	yes	—
220	C₄⋊C₄×D₇₃	C₂×C₄	1	1	yes	characteristic
221	C₄⋊C₄×D₇₃	C₂×C₄	1	2	yes	—
222	C₄⋊C₄×D₇₃	C₂×C₄	1	1	yes	characteristic
223	C₄⋊C₄×D₇₃	C₂×C₄	1	2	yes	—
224	C₂²⋊C₄×D₇₃	C₂×C₄	1	2	yes	—
225	C₂²⋊C₄×D₇₃	C₂×C₄	1	2	yes	—
226	C₂²⋊C₄×D₇₃	C₂×C₄	1	2	yes	—
227	C₂²⋊C₄×D₇₃	C₂×C₄	1	2	yes	—
228	C₂²⋊C₄×D₇₃	C₂×C₄	1	2	yes	—
229	C₂×C₄×Dic₇₃	C₂×C₄	1	1	yes	characteristic
230	C₂×C₄×Dic₇₃	C₂×C₄	1	1	yes	characteristic
231	C₂×C₄×Dic₇₃	C₂³	1	1	yes	characteristic
232	C₄²×D₇₃	C₂×C₄	1	1	yes	characteristic
233	C₄²×D₇₃	C₂×C₄	1	1	yes	characteristic
234	C₄²×D₇₃	C₂×C₄	1	1	yes	characteristic
235	C₄²×D₇₃	C₂×C₄	1	1	yes	characteristic
236	C₄²×D₇₃	C₂³	1	1	yes	characteristic
237	C₄²×D₇₃	C₂³	1	1	yes	characteristic
238	C₄²×D₇₃	C₂³	1	1	yes	characteristic
239	C₄²×D₇₃	C₂³	1	1	yes	characteristic
240	C₄²×D₇₃	C₂³	1	2	yes	—
241	C₄⋊#10596831	C₂³	1	2	yes	—
242	C₄⋊#10596831	C₂³	1	1	yes	characteristic
243	C₄⋊#10596831	C₂³	1	1	yes	characteristic
244	C₄⋊#10596831	C₂³	1	1	yes	characteristic
245	C₄⋊#10596831	C₂³	1	2	yes	—
246	C₄⋊#10596831	C₂³	1	2	yes	—
247	C₄⋊#10596831	C₂³	1	1	yes	characteristic
248	#14556520	C₂³	1	1	yes	characteristic
249	#14556520	C₂³	1	1	yes	characteristic
250	#14556520	C₂³	1	2	yes	—
251	#14556520	C₂³	1	2	yes	—
252	#14556520	C₂³	1	2	yes	—
253	#14556520	C₂³	1	2	yes	—
254	#14556520	C₂³	1	2	yes	—
255	#14556520	C₂³	1	2	yes	—
256	#14556520	C₂³	1	1	yes	characteristic
257	#14556520	C₂³	1	1	yes	characteristic
258	#14556520	C₂³	1	2	yes	—
259	#14556520	C₂³	1	2	yes	—
260	C₂²⋊#10596831	C₂³	1	1	yes	characteristic
261	C₂²⋊#10596831	C₂³	1	1	yes	characteristic
262	C₂²⋊#10596831	C₂³	1	2	yes	—
263	C₂²⋊#10596831	C₂³	1	2	yes	—
264	#14556503	C₂³	1	1	yes	characteristic
265	#14556503	C₂³	1	1	yes	characteristic
266	#14556503	C₂³	1	1	yes	characteristic
267	#14556503	C₂³	1	1	yes	characteristic
268	#14556503	C₂³	1	2	yes	—
269	#14556503	C₂³	1	2	yes	—
270	#14556503	C₂³	1	2	yes	—
271	#14556503	C₂³	1	2	yes	—
272	#14556502	C₂³	1	2	yes	—
273	#14556501	C₂³	1	2	yes	—
274	#14556501	C₂³	1	2	yes	—
275	C₄×#10596831	C₂³	1	1	yes	characteristic
276	C₄×#10596831	C₂³	1	1	yes	characteristic
277	C₄×#10596831	C₂³	1	2	yes	—
278	C₈×Dic₇₃	C₂³	1	1	yes	characteristic
279	C₈×Dic₇₃	C₂³	1	1	yes	characteristic
280	C₈×Dic₇₃	C₂³	1	1	yes	characteristic
281	C₈×Dic₇₃	C₂³	1	1	yes	characteristic
282	C₈×Dic₇₃	C₂³	1	2	yes	—
283	C₈×Dic₇₃	C₂³	1	2	yes	—
284	C₂×M₁₆×C₇₃	C₂³	1	2	yes	—
285	C₂²×C₈×C₇₃	C₂³	1	2	yes	—
286	C₂²×C₈×C₇₃	C₂³	1	2	yes	—
287	#126×C₇₃	C₂×C₄	1	2	yes	—
288	#125×C₇₃	C₂×C₄	1	1	yes	characteristic
289	#124×C₇₃	C₂×C₄	1	1	yes	characteristic
290	#123×C₇₃	C₂×C₄	1	2	yes	—
291	C₂²⋊Q₈×C₇₃	C₂×C₄	1	1	yes	characteristic
292	#121×C₇₃	C₂×C₄	1	1	yes	characteristic
293	C₄×Q₈×C₇₃	C₂³	1	1	yes	characteristic
294	C₄×D₄×C₇₃	C₂³	1	2	yes	—
295	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
296	#117×C₇₃	C₂³	1	2	yes	—
297	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
298	C₄⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
299	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
300	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
301	C₄⋊C₈×C₇₃	C₂³	1	2	yes	—
302	C₄⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
303	C₄⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
304	C₄⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
305	C₂²⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
306	C₂²⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
307	C₂²⋊C₈×C₇₃	C₂³	1	2	yes	—
308	C₂²⋊C₈×C₇₃	C₂³	1	2	yes	—
309	#97×C₇₃	C₂³	1	2	yes	—
310	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
311	C₄×C₈×C₇₃	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₇₃	C₂³	1	2	yes	—
313	C₂³×D₇₃	C₂²×C₄	1	2	yes	—
314	C₂³×D₇₃	C₂²×C₄	1	1	yes	characteristic
315	C₂×Dic₁₄₆	C₂²×C₄	1	2	yes	—
316	C₂×Dic₁₄₆	C₂²×C₄	1	1	yes	characteristic
317	Q₈×D₇₃	—	2	4	no	—
318	C₂×D₂₉₂	C₂²×C₄	1	2	yes	—
319	C₂×D₂₉₂	C₂²×C₄	1	1	yes	characteristic
320	C₂×C₂²⋊D₇₃	C₂²×C₄	1	2	yes	—
321	C₂×C₂²⋊D₇₃	C₂²×C₄	1	2	yes	—
322	C₂×C₂²⋊D₇₃	C₂²×C₄	1	2	yes	—
323	D₄×D₇₃	—	2	8	no	—
324	D₄×D₇₃	—	2	4	no	—
325	C₂²×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
326	C₂²×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
327	C₂²×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
328	C₂²×Dic₇₃	C₂²×C₄	1	2	yes	—
329	C₂×C₄×D₇₃	—	2	4	no	—
330	C₂×C₄×D₇₃	—	2	4	no	—
331	C₂×C₄×D₇₃	—	2	2	no	—
332	C₂×C₄×D₇₃	—	2	4	no	—
333	C₂×C₄×D₇₃	—	2	2	no	—
334	C₂×C₄×D₇₃	—	2	4	no	—
335	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
336	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
337	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
338	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
339	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
340	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
341	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
342	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
343	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
344	C₂×C₄×D₇₃	C₂²×C₄	1	2	yes	—
345	C₂×C₄×D₇₃	C₂²×C₄	1	2	yes	—
346	C₂×C₄×D₇₃	C₂²×C₄	1	2	yes	—
347	C₂×C₄×D₇₃	C₂²×C₄	1	2	yes	—
348	C₂×C₄×D₇₃	C₂²×C₄	1	1	yes	characteristic
349	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
350	C₂×C₄×D₇₃	C₂⁴	1	2	yes	—
351	C₂×C₄×D₇₃	C₂⁴	1	1	yes	characteristic
352	#11924012	—	4	2	no	—
353	#11924011	—	4	2	no	—
354	#11924011	—	4	2	no	—
355	C₂×#10596831	—	4	2	no	—
356	C₂×#10596831	—	4	2	no	—
357	C₂×#10596831	C₂⁴	1	1	yes	characteristic
358	C₂×#10596831	C₂⁴	1	1	yes	characteristic
359	C₂×#10596831	C₂⁴	1	1	yes	characteristic
360	C₂×#10596831	C₂⁴	1	2	yes	—
361	C₂×#10596831	C₂⁴	1	1	yes	characteristic
362	C₂×#10596831	C₂⁴	1	2	yes	—
363	C₈×D₇₃	—	2	2	no	—
364	C₈×D₇₃	—	2	4	no	—
365	C₈×D₇₃	—	2	4	no	—
366	C₈×D₇₃	—	2	2	no	—
367	C₈×D₇₃	—	2	2	no	—
368	C₈×D₇₃	—	2	2	no	—
369	C₈×D₇₃	—	4	2	no	—
370	C₈×D₇₃	—	4	2	no	—
371	C₈×D₇₃	—	4	2	no	—
372	C₈×D₇₃	—	4	2	no	—
373	C₄⋊Dic₇₃	C₂²×C₄	1	2	yes	—
374	C₄⋊Dic₇₃	C₂²×C₄	1	2	yes	—
375	C₄⋊Dic₇₃	C₂²×C₄	1	1	yes	characteristic
376	C₄⋊Dic₇₃	C₂²×C₄	1	2	yes	—
377	C₄⋊Dic₇₃	C₂²×C₄	1	1	yes	characteristic
378	C₄⋊Dic₇₃	C₂²×C₄	1	2	yes	—
379	#11924007	C₂²×C₄	1	2	yes	—
380	#11924007	C₂²×C₄	1	2	yes	—
381	#11924007	C₂²×C₄	1	2	yes	—
382	#11924007	C₂²×C₄	1	2	yes	—
383	#11924007	C₂²×C₄	1	2	yes	—
384	#11924007	C₂²×C₄	1	2	yes	—
385	#11924007	C₂²×C₄	1	2	yes	—
386	#11924007	C₂²×C₄	1	2	yes	—
387	#11924007	C₂²×C₄	1	2	yes	—
388	#11924007	C₂²×C₄	1	2	yes	—
389	C₂²⋊Dic₇₃	C₂²×C₄	1	2	yes	—
390	C₂²⋊Dic₇₃	C₂²×C₄	1	2	yes	—
391	C₂²⋊Dic₇₃	C₂²×C₄	1	2	yes	—
392	C₂²⋊Dic₇₃	C₂²×C₄	1	2	yes	—
393	C₂²⋊Dic₇₃	C₂²×C₄	1	2	yes	—
394	#11924005	C₂²×C₄	1	2	yes	—
395	#11924005	C₂²×C₄	1	2	yes	—
396	#11924005	C₂²×C₄	1	2	yes	—
397	#11924005	C₂²×C₄	1	2	yes	—
398	#11924005	C₂²×C₄	1	2	yes	—
399	#11924005	C₂²×C₄	1	2	yes	—
400	#11924005	C₂²×C₄	1	2	yes	—
401	#11924005	C₂²×C₄	1	2	yes	—
402	#11924005	C₂²×C₄	1	2	yes	—
403	#11924005	C₂²×C₄	1	2	yes	—
404	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
405	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
406	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
407	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
408	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
409	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
410	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
411	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
412	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
413	C₄×Dic₇₃	C₂²×C₄	1	1	yes	characteristic
414	C₄×Dic₇₃	C₂²×C₄	1	2	yes	—
415	C₄×Dic₇₃	C₂²×C₄	1	2	yes	—
416	C₄×Dic₇₃	C₂⁴	1	1	yes	characteristic
417	C₄×Dic₇₃	C₂⁴	1	2	yes	—
418	C₄×Dic₇₃	C₂⁴	1	1	yes	characteristic
419	C₂×Q₈×C₇₃	C₂²×C₄	1	1	yes	characteristic
420	C₂×D₄×C₇₃	C₂²×C₄	1	2	yes	—
421	C₂×D₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
422	C₂²×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
423	C₂²×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
424	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄×C₇₃	C₂⁴	1	2	yes	—
426	M₁₆×C₇₃	—	4	2	no	—
427	C₂×C₈×C₇₃	—	4	2	no	—
428	C₂×C₈×C₇₃	—	4	2	no	—
429	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
430	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
431	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
432	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
433	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
434	C₂×C₈×C₇₃	C₂⁴	1	2	yes	—
435	C₄⋊C₄×C₇₃	C₂²×C₄	1	2	yes	—
436	C₄⋊C₄×C₇₃	C₂²×C₄	1	2	yes	—
437	C₄⋊C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
438	C₄⋊C₄×C₇₃	C₂²×C₄	1	2	yes	—
439	C₄⋊C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
440	C₄⋊C₄×C₇₃	C₂²×C₄	1	2	yes	—
441	C₂²⋊C₄×C₇₃	C₂²×C₄	1	2	yes	—
442	C₂²⋊C₄×C₇₃	C₂²×C₄	1	2	yes	—
443	C₂²⋊C₄×C₇₃	C₂²×C₄	1	2	yes	—
444	C₂²⋊C₄×C₇₃	C₂²×C₄	1	2	yes	—
445	C₂²⋊C₄×C₇₃	C₂²×C₄	1	2	yes	—
446	C₄²×C₇₃	C₂²×C₄	1	1	yes	characteristic
447	C₄²×C₇₃	C₂²×C₄	1	1	yes	characteristic
448	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
449	C₄²×C₇₃	C₂⁴	1	2	yes	—
450	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
451	C₂³×C₇₃	C₂³×C₄	1	2	yes	—
452	C₂³×C₇₃	C₂³×C₄	1	1	yes	characteristic
453	C₂²×D₇₃	—	2	2	no	—
454	C₂²×D₇₃	—	2	2	no	—
455	C₂²×D₇₃	—	2	4	no	—
456	C₂²×D₇₃	—	2	4	no	—
457	C₂²×D₇₃	—	2	4	no	—
458	C₂²×D₇₃	#131	1	4	yes	—
459	C₂²×D₇₃	C₂³×C₄	1	2	yes	—
460	C₂²×D₇₃	C₂³×C₄	1	1	yes	characteristic
461	C₂²×D₇₃	C₂³×C₄	1	1	yes	characteristic
462	Q₈×C₇₃	—	2	2	no	—
463	D₄×C₇₃	—	2	4	no	—
464	D₄×C₇₃	—	2	2	no	—
465	C₂×C₄×C₇₃	—	2	2	no	—
466	C₂×C₄×C₇₃	—	2	2	no	—
467	C₂×C₄×C₇₃	—	2	1	no	—
468	C₂×C₄×C₇₃	—	2	2	no	—
469	C₂×C₄×C₇₃	—	2	1	no	—
470	C₂×C₄×C₇₃	—	2	2	no	—
471	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
472	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
473	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
474	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
475	C₂×C₄×C₇₃	C₂³×C₄	1	2	yes	—
476	C₂×C₄×C₇₃	C₂³×C₄	1	2	yes	—
477	C₂×C₄×C₇₃	C₂³×C₄	1	2	yes	—
478	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
479	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
480	C₂²⋊D₇₃	—	2	4	no	—
481	C₂²⋊D₇₃	—	2	4	no	—
482	C₂²⋊D₇₃	—	2	4	no	—
483	C₂×Dic₇₃	—	2	2	no	—
484	C₂×Dic₇₃	—	2	2	no	—
485	C₂×Dic₇₃	—	2	4	no	—
486	C₂×Dic₇₃	—	2	2	no	—
487	C₂×Dic₇₃	C₂³×C₄	1	1	yes	characteristic
488	C₂×Dic₇₃	C₂³×C₄	1	1	yes	characteristic
489	C₂×Dic₇₃	C₂³×C₄	1	1	yes	characteristic
490	C₂×Dic₇₃	C₂³×C₄	1	1	yes	characteristic
491	C₂×Dic₇₃	C₂³×C₄	1	2	yes	—
492	C₂×Dic₇₃	C₂³×C₄	1	2	yes	—
493	C₂×Dic₇₃	C₂³×C₄	1	2	yes	—
494	C₂×Dic₇₃	C₂³×C₄	1	1	yes	characteristic
495	C₂×Dic₇₃	C₂³×C₄	1	1	yes	characteristic
496	D₂₉₂	—	2	4	no	—
497	D₂₉₂	—	2	2	no	—
498	C₄×D₇₃	—	2	2	no	—
499	C₄×D₇₃	—	2	4	no	—
500	C₄×D₇₃	—	2	2	no	—
501	C₄×D₇₃	—	2	2	no	—
502	C₄×D₇₃	—	2	2	no	—
503	C₄×D₇₃	—	2	2	no	—
504	C₄×D₇₃	—	2	2	no	—
505	C₄×D₇₃	—	2	4	no	—
506	C₄×D₇₃	—	2	4	no	—
507	C₄×D₇₃	—	2	2	no	—
508	C₄×D₇₃	—	2	1	no	—
509	C₄×D₇₃	—	2	2	no	—
510	C₄×D₇₃	—	2	1	no	—
511	C₄×D₇₃	—	2	2	no	—
512	C₄×D₇₃	—	2	2	no	—
513	C₄×D₇₃	—	2	4	no	—
514	C₄×D₇₃	—	2	2	no	—
515	C₄×D₇₃	#131	1	4	yes	—
516	C₄×D₇₃	H(5,𝔽₂)	1	2	yes	—
517	C₄×D₇₃	2₋¹⁺⁴	1	2	yes	—
518	Dic₁₄₆	—	2	2	no	—
519	Dic₁₄₆	—	2	4	no	—
520	C₈×C₇₃	—	2	1	no	—
521	C₈×C₇₃	—	2	2	no	—
522	C₈×C₇₃	—	2	2	no	—
523	C₈×C₇₃	—	2	1	no	—
524	C₈×C₇₃	—	2	1	no	—
525	C₈×C₇₃	—	2	1	no	—
526	#10596831	—	2	1	no	—
527	#10596831	—	2	2	no	—
528	#10596831	—	2	2	no	—
529	#10596831	—	2	1	no	—
530	#10596831	—	2	1	no	—
531	#10596831	—	2	1	no	—
532	C₂²×C₇₃	—	2	1	no	—
533	C₂²×C₇₃	—	2	1	no	—
534	C₂²×C₇₃	—	2	2	no	—
535	C₂²×C₇₃	—	2	2	no	—
536	C₂²×C₇₃	—	2	2	no	—
537	C₂²×C₇₃	C₂×#131	1	2	yes	—
538	C₂²×C₇₃	C₂⁴×C₄	1	1	yes	characteristic
539	C₂×D₇₃	—	2	1	no	—
540	C₂×D₇₃	—	2	1	no	—
541	C₂×D₇₃	—	2	8	no	—
542	C₂×D₇₃	—	2	2	no	—
543	C₂×D₇₃	—	2	2	no	—
544	C₂×D₇₃	—	2	2	no	—
545	C₂×D₇₃	—	4	8	no	—
546	C₂×D₇₃	#520	1	2	yes	—
547	C₂×D₇₃	C₂×#131	1	2	yes	—
548	C₂×D₇₃	C₂×#131	1	2	yes	—
549	C₂×D₇₃	C₂×#131	1	2	yes	—
550	C₄×C₇₃	—	2	1	no	—
551	C₄×C₇₃	—	2	2	no	—
552	C₄×C₇₃	—	2	2	no	—
553	C₄×C₇₃	—	2	1	no	—
554	C₄×C₇₃	—	2	1	no	—
555	C₄×C₇₃	—	2	1	no	—
556	C₄×C₇₃	—	2	2	no	—
557	C₄×C₇₃	C₂×#131	1	2	yes	—
558	C₄×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
559	C₄×C₇₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
560	Dic₇₃	—	2	1	no	—
561	Dic₇₃	—	2	2	no	—
562	Dic₇₃	—	2	2	no	—
563	Dic₇₃	—	2	1	no	—
564	Dic₇₃	—	2	1	no	—
565	Dic₇₃	—	2	1	no	—
566	Dic₇₃	—	2	2	no	—
567	Dic₇₃	#520	1	2	yes	—
568	Dic₇₃	C₂×#131	1	2	yes	—
569	C₂×#2994	—	73	1	no	maximal, Sylow
570	C₂×C₇₃	—	2	2	no	—
571	C₂×C₇₃	—	4	2	no	—
572	C₂×C₇₃	C₂×#520	1	1	yes	characteristic
573	C₂×C₇₃	C₂²×#131	1	1	yes	characteristic
574	C₂×C₇₃	C₂²×#131	1	1	yes	characteristic
575	D₇₃	—	2	2	no	—
576	D₇₃	—	4	2	no	—
577	D₇₃	#2994	1	4	yes	direct product factor
578	C₂×#529	—	73	1	no	—
579	#2994	—	73	1	no	—
580	#2994	—	73	1	no	—
581	#2994	—	73	1	no	—
582	#2994	—	73	2	no	—
583	#2994	—	73	1	no	—
584	#2994	—	73	2	no	—
585	#2994	—	73	2	no	—
586	#2994	—	73	1	no	—
587	#2994	—	73	2	no	—
588	#2994	—	73	1	no	—
589	#2994	—	73	1	no	—
590	#2994	D₇₃	1	1	yes	characteristic, direct product factor
591	C₂×#446	—	73	1	no	—
592	C₂×C₈×Q₈	—	73	1	no	—
593	C₂×#436	—	73	1	no	—
594	C₂×#435	—	73	2	no	—
595	C₂×C₈×D₄	—	73	2	no	—
596	C₂×C₈×D₄	—	73	1	no	—
597	C₂×#433	—	73	2	no	—
598	C₂×#431	—	73	1	no	—
599	C₂×#424	—	73	2	no	—
600	C₂²×C₄⋊C₈	—	73	1	no	—
601	C₇₃	C₂×#2994	1	1	yes	characteristic, complemented, Sylow
602	C₂²×M₁₆	—	73	2	no	—
603	C₂³×C₈	—	73	2	no	—
604	C₂³×C₈	—	73	2	no	—
605	#529	—	73	2	no	—
606	#529	—	73	1	no	—
607	#529	—	73	1	no	—
608	#529	—	73	2	no	—
609	#529	—	73	1	no	—
610	#529	—	73	1	no	—
611	#529	—	73	1	no	—
612	#529	—	73	2	no	—
613	#529	—	73	1	no	—
614	#529	—	73	2	no	—
615	#529	—	73	1	no	—
616	#529	C₂×D₇₃	1	1	yes	characteristic
617	C₂×#126	—	73	2	no	—
618	C₂×#125	—	73	1	no	—
619	C₂×#124	—	73	1	no	—
620	C₂×#123	—	73	2	no	—
621	C₂×C₂²⋊Q₈	—	73	1	no	—
622	C₂×#121	—	73	1	no	—
623	C₂×C₄×Q₈	—	73	1	no	—
624	C₂×C₄×D₄	—	73	2	no	—
625	C₂×C₄×D₄	—	73	1	no	—
626	C₂×#117	—	73	2	no	—
627	C₂²×C₄²	—	73	1	no	—
628	#446	—	73	1	no	—
629	#446	—	73	1	no	—
630	#446	—	73	2	no	—
631	#446	—	73	2	no	—
632	#446	—	73	1	no	—
633	#446	C₂×D₇₃	1	1	yes	characteristic, complemented
634	C₈×Q₈	—	73	1	no	—
635	C₈×Q₈	—	73	2	no	—
636	C₈×Q₈	—	73	1	no	—
637	C₈×Q₈	—	73	2	no	—
638	C₈×Q₈	—	73	1	no	—
639	C₈×Q₈	C₂×D₇₃	1	1	yes	characteristic, complemented
640	#436	—	73	2	no	—
641	#436	—	73	1	no	—
642	#436	—	73	1	no	—
643	#436	—	73	2	no	—
644	#436	—	73	1	no	—
645	#436	C₂×D₇₃	1	1	yes	characteristic, complemented
646	#435	—	73	2	no	—
647	#435	—	73	2	no	—
648	#435	—	73	2	no	—
649	#435	—	73	2	no	—
650	#435	—	73	2	no	—
651	#435	—	73	2	no	—
652	#435	—	73	2	no	—
653	#435	C₂×D₇₃	1	2	yes	complemented
654	C₈×D₄	—	73	2	no	—
655	C₈×D₄	—	73	2	no	—
656	C₈×D₄	—	73	2	no	—
657	C₈×D₄	—	73	1	no	—
658	C₈×D₄	—	73	2	no	—
659	C₈×D₄	—	73	1	no	—
660	C₈×D₄	—	73	2	no	—
661	C₈×D₄	—	73	2	no	—
662	C₈×D₄	—	73	2	no	—
663	C₈×D₄	—	73	2	no	—
664	C₈×D₄	—	73	1	no	—
665	C₈×D₄	—	73	2	no	—
666	C₈×D₄	C₂×D₇₃	1	1	yes	characteristic, complemented
667	C₈×D₄	C₂×D₇₃	1	2	yes	complemented
668	#433	—	73	2	no	—
669	#433	—	73	2	no	—
670	#433	—	73	2	no	—
671	#433	—	73	2	no	—
672	#433	—	73	2	no	—
673	#433	—	73	2	no	—
674	#433	—	73	2	no	—
675	#433	C₂×D₇₃	1	2	yes	complemented
676	#431	—	73	1	no	—
677	#431	—	73	1	no	—
678	#431	—	73	1	no	—
679	#431	—	73	1	no	—
680	#431	—	73	1	no	—
681	#431	—	73	1	no	—
682	#431	—	73	1	no	—
683	#431	C₂×D₇₃	1	1	yes	characteristic, complemented
684	#424	—	73	2	no	—
685	#424	—	73	2	no	—
686	#424	—	73	2	no	—
687	#424	—	73	2	no	—
688	#424	—	73	2	no	—
689	#424	—	73	2	no	—
690	#424	—	73	2	no	—
691	#424	C₂×D₇₃	1	2	yes	complemented
692	C₂×C₄⋊C₈	—	73	2	no	—
693	C₂×C₄⋊C₈	—	73	1	no	—
694	C₂×C₄⋊C₈	—	73	2	no	—
695	C₂×C₄⋊C₈	—	73	1	no	—
696	C₂×C₄⋊C₈	—	73	1	no	—
697	C₂×C₄⋊C₈	—	73	1	no	—
698	C₂×C₄⋊C₈	—	73	1	no	—
699	C₂×C₄⋊C₈	—	73	2	no	—
700	C₂×C₄⋊C₈	—	73	1	no	—
701	C₂×C₄⋊C₈	—	73	2	no	—
702	C₂×C₄⋊C₈	—	73	2	no	—
703	C₂×C₄⋊C₈	—	73	1	no	—
704	C₂×C₄⋊C₈	C₂×D₇₃	1	1	yes	characteristic, complemented
705	C₂×C₂²⋊C₈	—	73	1	no	—
706	C₂×C₂²⋊C₈	—	73	1	no	—
707	C₂×C₂²⋊C₈	—	73	2	no	—
708	C₂×C₂²⋊C₈	—	73	2	no	—
709	C₂×#97	—	73	2	no	—
710	C₂×C₄×C₈	—	73	1	no	—
711	C₂×C₄×C₈	—	73	1	no	—
712	C₂×C₄×C₈	—	73	2	no	—
713	C₂²×Q₈	—	73	1	no	—
714	C₂²×D₄	—	73	2	no	—
715	C₂²×D₄	—	73	1	no	—
716	C₂³×C₄	—	73	1	no	—
717	C₂³×C₄	—	73	1	no	—
718	C₂³×C₄	—	73	2	no	—
719	C₂³×C₄	—	73	1	no	—
720	C₂×M₁₆	—	292	4	no	—
721	C₂×M₁₆	—	73	2	no	—
722	C₂×M₁₆	—	73	2	no	—
723	C₂×M₁₆	—	73	2	no	—
724	C₂×M₁₆	C₂²×D₇₃	1	2	yes	—
725	C₂²×C₈	—	292	4	no	—
726	C₂²×C₈	—	292	4	no	—
727	C₂²×C₈	—	73	2	no	—
728	C₂²×C₈	—	73	2	no	—
729	C₂²×C₈	—	73	2	no	—
730	C₂²×C₈	—	73	2	no	—
731	C₂²×C₈	—	73	2	no	—
732	C₂²×C₈	—	73	2	no	—
733	C₂²×C₈	—	73	2	no	—
734	C₂²×C₈	—	73	1	no	—
735	C₂²×C₈	—	73	2	no	—
736	C₂²×C₈	—	73	1	no	—
737	C₂²×C₈	—	73	1	no	—
738	C₂²×C₈	—	73	1	no	—
739	C₂²×C₈	C₂²×D₇₃	1	2	yes	—
740	C₂²×C₈	C₂²×D₇₃	1	2	yes	—
741	#126	—	73	2	no	—
742	#126	—	73	2	no	—
743	#126	—	73	2	no	—
744	#126	—	73	2	no	—
745	#126	—	73	2	no	—
746	#126	—	73	2	no	—
747	#126	—	73	2	no	—
748	#126	C₄×D₇₃	1	2	yes	—
749	#125	—	73	2	no	—
750	#125	—	73	2	no	—
751	#125	—	73	1	no	—
752	#125	—	73	1	no	—
753	#125	—	73	1	no	—
754	#125	C₄×D₇₃	1	1	yes	characteristic
755	#124	—	73	1	no	—
756	#124	—	73	1	no	—
757	#124	—	73	2	no	—
758	#124	—	73	2	no	—
759	#124	—	73	1	no	—
760	#124	C₄×D₇₃	1	1	yes	characteristic
761	#123	—	73	2	no	—
762	#123	—	73	2	no	—
763	#123	—	73	2	no	—
764	#123	—	73	2	no	—
765	#123	—	73	2	no	—
766	#123	—	73	2	no	—
767	#123	—	73	2	no	—
768	#123	C₄×D₇₃	1	2	yes	—
769	C₂²⋊Q₈	—	73	1	no	—
770	C₂²⋊Q₈	—	73	1	no	—
771	C₂²⋊Q₈	—	73	2	no	—
772	C₂²⋊Q₈	—	73	1	no	—
773	C₂²⋊Q₈	—	73	2	no	—
774	C₂²⋊Q₈	C₄×D₇₃	1	1	yes	characteristic
775	#121	—	73	1	no	—
776	#121	—	73	2	no	—
777	#121	—	73	1	no	—
778	#121	—	73	1	no	—
779	#121	—	73	2	no	—
780	#121	C₄×D₇₃	1	1	yes	characteristic
781	C₄×Q₈	—	73	1	no	—
782	C₄×Q₈	—	73	2	no	—
783	C₄×Q₈	—	73	1	no	—
784	C₄×Q₈	—	73	2	no	—
785	C₄×Q₈	—	73	1	no	—
786	C₄×Q₈	C₂²×D₇₃	1	1	yes	characteristic
787	C₄×D₄	—	73	1	no	—
788	C₄×D₄	—	73	2	no	—
789	C₄×D₄	—	73	2	no	—
790	C₄×D₄	—	73	2	no	—
791	C₄×D₄	—	73	2	no	—
792	C₄×D₄	—	73	1	no	—
793	C₄×D₄	—	73	2	no	—
794	C₄×D₄	—	73	2	no	—
795	C₄×D₄	—	73	2	no	—
796	C₄×D₄	—	73	2	no	—
797	C₄×D₄	—	73	2	no	—
798	C₄×D₄	—	73	1	no	—
799	C₄×D₄	C₂²×D₇₃	1	2	yes	—
800	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
801	#117	—	73	2	no	—
802	#117	—	73	2	no	—
803	#117	—	73	2	no	—
804	#117	—	73	2	no	—
805	#117	—	73	2	no	—
806	#117	—	73	2	no	—
807	#117	—	73	2	no	—
808	#117	C₂²×D₇₃	1	2	yes	—
809	C₂×C₄⋊C₄	—	73	2	no	—
810	C₂×C₄⋊C₄	—	73	2	no	—
811	C₂×C₄⋊C₄	—	73	1	no	—
812	C₂×C₄⋊C₄	—	73	2	no	—
813	C₂×C₄⋊C₄	—	73	1	no	—
814	C₂×C₄⋊C₄	—	73	2	no	—
815	C₂×C₂²⋊C₄	—	73	2	no	—
816	C₂×C₂²⋊C₄	—	73	2	no	—
817	C₂×C₂²⋊C₄	—	73	2	no	—
818	C₂×C₂²⋊C₄	—	73	2	no	—
819	C₂×C₂²⋊C₄	—	73	2	no	—
820	C₂×C₄²	—	73	1	no	—
821	C₂×C₄²	—	73	1	no	—
822	C₂×C₄²	—	73	1	no	—
823	C₂×C₄²	—	73	1	no	—
824	C₂×C₄²	—	73	1	no	—
825	C₂×C₄²	—	73	1	no	—
826	C₂×C₄²	—	73	1	no	—
827	C₂×C₄²	—	73	1	no	—
828	C₂×C₄²	—	73	2	no	—
829	C₂×C₄²	—	73	1	no	—
830	C₂×C₄²	—	73	1	no	—
831	C₂×C₄²	—	73	1	no	—
832	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
833	C₄⋊C₈	—	73	2	no	—
834	C₄⋊C₈	—	73	2	no	—
835	C₄⋊C₈	—	73	2	no	—
836	C₄⋊C₈	—	73	2	no	—
837	C₄⋊C₈	—	73	1	no	—
838	C₄⋊C₈	—	73	1	no	—
839	C₄⋊C₈	—	73	2	no	—
840	C₄⋊C₈	—	73	2	no	—
841	C₄⋊C₈	—	73	2	no	—
842	C₄⋊C₈	—	73	2	no	—
843	C₄⋊C₈	—	73	1	no	—
844	C₄⋊C₈	—	73	1	no	—
845	C₄⋊C₈	—	73	2	no	—
846	C₄⋊C₈	—	73	1	no	—
847	C₄⋊C₈	—	73	1	no	—
848	C₄⋊C₈	—	73	1	no	—
849	C₄⋊C₈	—	73	2	no	—
850	C₄⋊C₈	—	73	2	no	—
851	C₄⋊C₈	—	73	1	no	—
852	C₄⋊C₈	C₂²×D₇₃	1	2	yes	—
853	C₄⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
854	C₄⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
855	C₄⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
856	C₄⋊C₈	C₂²×D₇₃	1	2	yes	—
857	C₄⋊C₈	C₂²×D₇₃	1	2	yes	—
858	C₄⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
859	C₂²⋊C₈	—	73	1	no	—
860	C₂²⋊C₈	—	73	1	no	—
861	C₂²⋊C₈	—	73	2	no	—
862	C₂²⋊C₈	—	73	2	no	—
863	C₂²⋊C₈	—	73	1	no	—
864	C₂²⋊C₈	—	73	1	no	—
865	C₂²⋊C₈	—	73	1	no	—
866	C₂²⋊C₈	—	73	1	no	—
867	C₂²⋊C₈	—	73	2	no	—
868	C₂²⋊C₈	—	73	2	no	—
869	C₂²⋊C₈	—	73	2	no	—
870	C₂²⋊C₈	—	73	2	no	—
871	C₂²⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
872	C₂²⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
873	C₂²⋊C₈	C₂²×D₇₃	1	2	yes	—
874	C₂²⋊C₈	C₂²×D₇₃	1	2	yes	—
875	#97	—	73	2	no	—
876	#97	—	73	2	no	—
877	#97	—	73	2	no	—
878	#97	C₂²×D₇₃	1	2	yes	—
879	C₄×C₈	—	73	1	no	—
880	C₄×C₈	—	73	1	no	—
881	C₄×C₈	—	73	1	no	—
882	C₄×C₈	—	73	1	no	—
883	C₄×C₈	—	73	2	no	—
884	C₄×C₈	—	73	2	no	—
885	C₄×C₈	—	73	1	no	—
886	C₄×C₈	—	73	1	no	—
887	C₄×C₈	—	73	2	no	—
888	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
889	C₄×C₈	C₂²×D₇₃	1	1	yes	characteristic
890	C₄×C₈	C₂²×D₇₃	1	2	yes	—
891	C₂⁴	—	73	1	no	—
892	C₂⁴	—	73	2	no	—
893	C₂×Q₈	—	73	2	no	—
894	C₂×Q₈	—	73	1	no	—
895	C₂×Q₈	—	146	4	no	—
896	C₂×Q₈	C₂×C₄×D₇₃	1	1	yes	characteristic
897	C₂×D₄	—	73	2	no	—
898	C₂×D₄	—	73	2	no	—
899	C₂×D₄	—	73	2	no	—
900	C₂×D₄	—	73	2	no	—
901	C₂×D₄	—	73	1	no	—
902	C₂×D₄	—	146	4	no	—
903	C₂×D₄	—	146	8	no	—
904	C₂×D₄	C₂×C₄×D₇₃	1	2	yes	—
905	C₂×D₄	C₂×C₄×D₇₃	1	1	yes	characteristic
906	C₂²×C₄	—	73	1	no	—
907	C₂²×C₄	—	73	1	no	—
908	C₂²×C₄	—	73	1	no	—
909	C₂²×C₄	—	73	1	no	—
910	C₂²×C₄	—	73	1	no	—
911	C₂²×C₄	—	73	2	no	—
912	C₂²×C₄	—	73	1	no	—
913	C₂²×C₄	—	73	1	no	—
914	C₂²×C₄	—	73	1	no	—
915	C₂²×C₄	—	73	1	no	—
916	C₂²×C₄	—	73	1	no	—
917	C₂²×C₄	—	73	1	no	—
918	C₂²×C₄	—	73	1	no	—
919	C₂²×C₄	—	73	1	no	—
920	C₂²×C₄	—	73	1	no	—
921	C₂²×C₄	—	73	2	no	—
922	C₂²×C₄	—	73	2	no	—
923	C₂²×C₄	—	73	2	no	—
924	C₂²×C₄	—	73	2	no	—
925	C₂²×C₄	—	73	1	no	—
926	C₂²×C₄	—	73	2	no	—
927	C₂²×C₄	—	146	2	no	—
928	C₂²×C₄	—	146	4	no	—
929	C₂²×C₄	—	146	4	no	—
930	C₂²×C₄	—	146	2	no	—
931	C₂²×C₄	—	146	4	no	—
932	C₂²×C₄	—	146	4	no	—
933	C₂²×C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
934	C₂²×C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
935	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
936	C₂²×C₄	C₂³×D₇₃	1	2	yes	—
937	M₁₆	—	4	2	no	—
938	M₁₆	—	292	2	no	—
939	M₁₆	—	292	2	no	—
940	M₁₆	—	292	2	no	—
941	C₂×C₈	—	4	2	no	—
942	C₂×C₈	—	4	2	no	—
943	C₂×C₈	—	292	2	no	—
944	C₂×C₈	—	292	2	no	—
945	C₂×C₈	—	292	2	no	—
946	C₂×C₈	—	292	2	no	—
947	C₂×C₈	—	292	2	no	—
948	C₂×C₈	—	292	2	no	—
949	C₂×C₈	—	73	1	no	—
950	C₂×C₈	—	73	1	no	—
951	C₂×C₈	—	73	1	no	—
952	C₂×C₈	—	73	2	no	—
953	C₂×C₈	—	73	1	no	—
954	C₂×C₈	—	73	2	no	—
955	C₂×C₈	—	146	2	no	—
956	C₂×C₈	—	146	4	no	—
957	C₂×C₈	—	146	4	no	—
958	C₂×C₈	—	146	2	no	—
959	C₂×C₈	—	146	2	no	—
960	C₂×C₈	—	146	2	no	—
961	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
962	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
963	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
964	C₂×C₈	C₂³×D₇₃	1	2	yes	—
965	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
966	C₂×C₈	C₂³×D₇₃	1	2	yes	—
967	C₄⋊C₄	—	73	2	no	—
968	C₄⋊C₄	—	73	2	no	—
969	C₄⋊C₄	—	73	2	no	—
970	C₄⋊C₄	—	73	2	no	—
971	C₄⋊C₄	—	73	2	no	—
972	C₄⋊C₄	—	73	2	no	—
973	C₄⋊C₄	—	73	2	no	—
974	C₄⋊C₄	—	73	2	no	—
975	C₄⋊C₄	—	73	2	no	—
976	C₄⋊C₄	—	73	2	no	—
977	C₄⋊C₄	—	73	2	no	—
978	C₄⋊C₄	—	73	2	no	—
979	C₄⋊C₄	—	73	1	no	—
980	C₄⋊C₄	—	73	2	no	—
981	C₄⋊C₄	—	73	1	no	—
982	C₄⋊C₄	—	73	2	no	—
983	C₄⋊C₄	C₂×C₄×D₇₃	1	2	yes	—
984	C₄⋊C₄	C₂×C₄×D₇₃	1	2	yes	—
985	C₄⋊C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
986	C₄⋊C₄	C₂×C₄×D₇₃	1	2	yes	—
987	C₄⋊C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
988	C₄⋊C₄	C₂×C₄×D₇₃	1	2	yes	—
989	C₂²⋊C₄	—	73	2	no	—
990	C₂²⋊C₄	—	73	2	no	—
991	C₂²⋊C₄	—	73	2	no	—
992	C₂²⋊C₄	—	73	2	no	—
993	C₂²⋊C₄	—	73	2	no	—
994	C₂²⋊C₄	—	73	2	no	—
995	C₂²⋊C₄	—	73	2	no	—
996	C₂²⋊C₄	—	73	2	no	—
997	C₂²⋊C₄	—	73	2	no	—
998	C₂²⋊C₄	—	73	2	no	—
999	C₂²⋊C₄	—	73	2	no	—
1000	C₂²⋊C₄	—	73	2	no	—
1001	C₂²⋊C₄	—	73	2	no	—
1002	C₂²⋊C₄	—	73	2	no	—
1003	C₂²⋊C₄	—	73	2	no	—
1004	C₂²⋊C₄	C₂×C₄×D₇₃	1	2	yes	—
1005	C₂²⋊C₄	C₂×C₄×D₇₃	1	2	yes	—
1006	C₂²⋊C₄	C₂×C₄×D₇₃	1	2	yes	—
1007	C₂²⋊C₄	C₂×C₄×D₇₃	1	2	yes	—
1008	C₂²⋊C₄	C₂×C₄×D₇₃	1	2	yes	—
1009	C₄²	—	73	1	no	—
1010	C₄²	—	73	1	no	—
1011	C₄²	—	73	1	no	—
1012	C₄²	—	73	1	no	—
1013	C₄²	—	73	1	no	—
1014	C₄²	—	73	1	no	—
1015	C₄²	—	73	1	no	—
1016	C₄²	—	73	1	no	—
1017	C₄²	—	73	1	no	—
1018	C₄²	—	73	1	no	—
1019	C₄²	—	73	2	no	—
1020	C₄²	—	73	2	no	—
1021	C₄²	—	73	1	no	—
1022	C₄²	—	73	2	no	—
1023	C₄²	—	73	1	no	—
1024	C₄²	C₂×C₄×D₇₃	1	1	yes	characteristic
1025	C₄²	C₂×C₄×D₇₃	1	1	yes	characteristic
1026	C₄²	C₂³×D₇₃	1	1	yes	characteristic
1027	C₄²	C₂³×D₇₃	1	2	yes	—
1028	C₄²	C₂³×D₇₃	1	1	yes	characteristic
1029	C₂³	—	73	1	no	—
1030	C₂³	—	73	1	no	—
1031	C₂³	—	73	4	no	—
1032	C₂³	—	73	2	no	—
1033	C₂³	—	146	4	no	—
1034	C₂³	—	146	4	no	—
1035	C₂³	—	146	4	no	—
1036	C₂³	—	146	2	no	—
1037	C₂³	—	146	2	no	—
1038	C₂³	C₂²×C₄×D₇₃	1	2	yes	—
1039	C₂³	C₂²×C₄×D₇₃	1	1	yes	characteristic
1040	Q₈	—	2	2	no	—
1041	Q₈	—	146	4	no	—
1042	Q₈	—	146	2	no	—
1043	D₄	—	2	4	no	—
1044	D₄	—	2	2	no	—
1045	D₄	—	146	4	no	—
1046	D₄	—	146	4	no	—
1047	D₄	—	146	4	no	—
1048	D₄	—	146	4	no	—
1049	D₄	—	146	2	no	—
1050	C₂×C₄	—	2	2	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	2	no	—
1053	C₂×C₄	—	2	1	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	2	no	—
1056	C₂×C₄	—	73	1	no	—
1057	C₂×C₄	—	73	1	no	—
1058	C₂×C₄	—	73	2	no	—
1059	C₂×C₄	—	73	2	no	—
1060	C₂×C₄	—	73	4	no	—
1061	C₂×C₄	—	73	1	no	—
1062	C₂×C₄	—	73	1	no	—
1063	C₂×C₄	—	73	1	no	—
1064	C₂×C₄	—	73	1	no	—
1065	C₂×C₄	—	73	2	no	—
1066	C₂×C₄	—	73	2	no	—
1067	C₂×C₄	—	73	2	no	—
1068	C₂×C₄	—	146	2	no	—
1069	C₂×C₄	—	146	4	no	—
1070	C₂×C₄	—	146	2	no	—
1071	C₂×C₄	—	146	2	no	—
1072	C₂×C₄	—	146	2	no	—
1073	C₂×C₄	—	146	2	no	—
1074	C₂×C₄	—	146	2	no	—
1075	C₂×C₄	—	146	2	no	—
1076	C₂×C₄	—	146	2	no	—
1077	C₂×C₄	—	146	4	no	—
1078	C₂×C₄	—	146	4	no	—
1079	C₂×C₄	—	146	4	no	—
1080	C₂×C₄	—	146	2	no	—
1081	C₂×C₄	—	146	2	no	—
1082	C₂×C₄	—	146	4	no	—
1083	C₂×C₄	—	146	2	no	—
1084	C₂×C₄	—	146	1	no	—
1085	C₂×C₄	—	146	2	no	—
1086	C₂×C₄	—	146	2	no	—
1087	C₂×C₄	—	146	1	no	—
1088	C₂×C₄	—	146	2	no	—
1089	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
1090	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
1091	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
1092	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
1093	C₂×C₄	C₂²×C₄×D₇₃	1	2	yes	—
1094	C₂×C₄	C₂²×C₄×D₇₃	1	2	yes	—
1095	C₂×C₄	C₂²×C₄×D₇₃	1	2	yes	—
1096	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
1097	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1098	C₈	—	2	1	no	—
1099	C₈	—	2	2	no	—
1100	C₈	—	2	2	no	—
1101	C₈	—	2	1	no	—
1102	C₈	—	2	1	no	—
1103	C₈	—	2	1	no	—
1104	C₈	—	146	1	no	—
1105	C₈	—	146	2	no	—
1106	C₈	—	146	2	no	—
1107	C₈	—	146	1	no	—
1108	C₈	—	146	1	no	—
1109	C₈	—	146	1	no	—
1110	C₂²	—	2	1	no	—
1111	C₂²	—	2	1	no	—
1112	C₂²	—	2	2	no	—
1113	C₂²	—	2	2	no	—
1114	C₂²	—	2	2	no	—
1115	C₂²	—	292	8	no	—
1116	C₂²	—	73	2	no	—
1117	C₂²	—	73	2	no	—
1118	C₂²	—	73	2	no	—
1119	C₂²	—	73	2	no	—
1120	C₂²	—	146	8	no	—
1121	C₂²	—	146	2	no	—
1122	C₂²	—	146	2	no	—
1123	C₂²	—	146	2	no	—
1124	C₂²	—	146	1	no	—
1125	C₂²	—	146	1	no	—
1126	C₂²	#131×D₇₃	1	2	yes	—
1127	C₂²	C₂³×C₄×D₇₃	1	1	yes	characteristic
1128	C₄	—	2	1	no	—
1129	C₄	—	2	1	no	—
1130	C₄	—	2	1	no	—
1131	C₄	—	2	2	no	—
1132	C₄	—	2	2	no	—
1133	C₄	—	2	1	no	—
1134	C₄	—	2	2	no	—
1135	C₄	—	73	2	no	—
1136	C₄	—	73	2	no	—
1137	C₄	—	146	1	no	—
1138	C₄	—	146	1	no	—
1139	C₄	—	146	1	no	—
1140	C₄	—	146	2	no	—
1141	C₄	—	146	2	no	—
1142	C₄	—	146	1	no	—
1143	C₄	—	146	2	no	—
1144	C₄	#131×D₇₃	1	2	yes	—
1145	C₄	H(5,𝔽₂)×D₇₃	1	1	yes	characteristic
1146	C₄	2₋¹⁺⁴×D₇₃	1	1	yes	characteristic
1147	C₂	—	2	2	no	—
1148	C₂	—	4	2	no	—
1149	C₂	—	292	2	no	—
1150	C₂	—	73	4	no	—
1151	C₂	—	146	2	no	—
1152	C₂	#520×D₇₃	1	1	yes	characteristic
1153	C₂	C₂×#131×D₇₃	1	1	yes	characteristic
1154	C₂	C₂×#131×D₇₃	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₇₃
commutator, socle	C₂²×C₇₃	C₂⁴×C₄
Fitting	C₇₃×#2994	C₂
prime radical	#121×D₇₃	C₄
cosocle	C₂×C₄×C₇₃	C₂⁵
hypercenter	#2994	D₇₃
hypocenter	C₇₃	C₂×#2994
LCS	G ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂×C₄ ◁ #2994

Complements

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

N	H ≅ G/N	type
2. #22619094	C₂	semidirect
3. #22619093	C₂	semidirect
4. #22619092	C₂	semidirect
5. #22619091	C₂	semidirect
6. #22619090	C₂	semidirect
7. #22619089	C₂	semidirect
8. #22619088	C₂	semidirect
9. #22619087	C₂	semidirect
10. #22619086	C₂	semidirect
11. #22619085	C₂	semidirect
12. #22619084	C₂	semidirect
13. #446×D₇₃	C₂	semidirect
14. C₈×Q₈×D₇₃	C₂	semidirect
15. #436×D₇₃	C₂	semidirect
16. #435×D₇₃	C₂	semidirect
17. C₈×D₄×D₇₃	C₂	semidirect
18. C₈×D₄×D₇₃	C₂	semidirect
19. #433×D₇₃	C₂	semidirect
20. #431×D₇₃	C₂	semidirect
21. #424×D₇₃	C₂	semidirect
22. C₂×C₄⋊C₈×D₇₃	C₂	semidirect
23. C₇₃×#2994	C₂	semidirect
49. #17988718	C₂²	semidirect
50. #17988717	C₂²	semidirect
51. #17988716	C₂²	semidirect
52. #17988715	C₂²	semidirect
53. #17988714	C₂²	semidirect
54. Q₈×#10596831	C₂²	semidirect
55. C₈×Dic₁₄₆	C₂²	semidirect
56. C₈×Dic₁₄₆	C₂²	semidirect
57. #17988711	C₂²	semidirect
58. #17988711	C₂²	semidirect
59. #17988666	C₂²	semidirect
60. #17988665	C₂²	semidirect
61. #17988664	C₂²	semidirect
62. #17988663	C₂²	semidirect
63. #17988662	C₂²	semidirect
64. #17988661	C₂²	semidirect
65. #17988660	C₂²	semidirect
66. #17988659	C₂²	semidirect
67. #17988658	C₂²	semidirect
68. #17988657	C₂²	semidirect
69. #17988656	C₂²	semidirect
70. #17988655	C₂²	semidirect
71. C₈×D₂₉₂	C₂²	semidirect
72. C₈×D₂₉₂	C₂²	semidirect
73. D₄×#10596831	C₂²	semidirect
74. D₄×#10596831	C₂²	semidirect
75. #17988652	C₂²	semidirect
76. #17988652	C₂²	semidirect
77. C₈×C₂²⋊D₇₃	C₂²	semidirect
78. C₈×C₂²⋊D₇₃	C₂²	semidirect
79. C₈×C₂²⋊D₇₃	C₂²	semidirect
80. #17988650	C₂²	semidirect
81. #17988650	C₂²	semidirect
82. #17988650	C₂²	semidirect
83. #17988649	C₂²	semidirect
84. #17988648	C₂²	semidirect
85. #17988647	C₂²	semidirect
86. #17988647	C₂²	semidirect
87. #17988646	C₂²	semidirect
88. #17988645	C₂²	semidirect
89. #17988645	C₂²	semidirect
90. #17988640	C₂²	semidirect
91. #17988639	C₂²	semidirect
92. #17988639	C₂²	semidirect
93. #17988638	C₂²	semidirect
94. #17988638	C₂²	semidirect
95. #17988637	C₂²	semidirect
96. #17988637	C₂²	semidirect
97. #17988615	C₂²	semidirect
98. #17988614	C₂²	semidirect
99. #17988613	C₂²	semidirect
100. #17988612	C₂²	semidirect
101. #17988612	C₂²	semidirect
102. #17988612	C₂²	semidirect
103. #17988612	C₂²	semidirect
104. C₂×C₄⋊#10596831	C₂²	semidirect
105. C₂×#14556520	C₂²	semidirect
113. C₄⋊C₈×D₇₃	C₂²	semidirect
114. C₄⋊C₈×D₇₃	C₂²	semidirect
115. C₄⋊C₈×D₇₃	C₂²	semidirect
125. #446×C₇₃	C₂²	semidirect
126. C₈×Q₈×C₇₃	C₂²	semidirect
127. #436×C₇₃	C₂²	semidirect
128. #435×C₇₃	C₂²	semidirect
129. C₈×D₄×C₇₃	C₂²	semidirect
130. C₈×D₄×C₇₃	C₂²	semidirect
131. #433×C₇₃	C₂²	semidirect
132. #431×C₇₃	C₂²	semidirect
133. #424×C₇₃	C₂²	semidirect
134. C₂×C₄⋊C₈×C₇₃	C₂²	semidirect
577. D₇₃	#2994	direct (N × H)
590. #2994	D₇₃	direct (N × H)
601. C₇₃	C₂×#2994	semidirect
633. #446	C₂×D₇₃	semidirect
639. C₈×Q₈	C₂×D₇₃	semidirect
645. #436	C₂×D₇₃	semidirect
653. #435	C₂×D₇₃	semidirect
666. C₈×D₄	C₂×D₇₃	semidirect
667. C₈×D₄	C₂×D₇₃	semidirect
675. #433	C₂×D₇₃	semidirect
683. #431	C₂×D₇₃	semidirect
691. #424	C₂×D₇₃	semidirect
704. C₂×C₄⋊C₈	C₂×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
#529×D₇₃	2
#22619094	2
#22619093	2
#22619092	2
#22619091	2
#22619090	2
#22619089	2
#22619088	2
#22619087	2
#22619086	2
#22619085	2
#22619084	2
#446×D₇₃	2
C₈×Q₈×D₇₃	2
#436×D₇₃	2
#435×D₇₃	2
C₈×D₄×D₇₃	2
#433×D₇₃	2
#431×D₇₃	2
#424×D₇₃	2
C₂×C₄⋊C₈×D₇₃	2
C₇₃×#2994	2
C₂×#2994	73

Subgroups — #2994×D73 #33951078

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — #2994×D₇₃ #33951078