Subgroups — #33950881

Order 18688.

2136 conjugacy classes of subgroups.

The subgroup lattice has 1312 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	D₄×#11924028	C₂	1	1	yes	maximal, characteristic
2	#22619003	C₂	1	2	yes	maximal, complemented
3	#22618999	C₂	1	2	yes	maximal, complemented
4	#22618990	C₂	1	2	yes	maximal, complemented
5	#22618982	C₂	1	2	yes	maximal, complemented
6	#22618980	C₂	1	2	yes	maximal, complemented
7	#22618978	C₂	1	2	yes	maximal, complemented
8	#22618961	C₂	1	2	yes	maximal, complemented
9	#22618956	C₂	1	2	yes	maximal, complemented
10	#22618674	C₂	1	1	yes	maximal, characteristic, complemented
11	D₄×#11924012	C₂	1	1	yes	maximal, characteristic, complemented
12	#22618652	C₂	1	1	yes	maximal, characteristic, complemented
13	#22618652	C₂	1	1	yes	maximal, characteristic, complemented
14	#22618650	C₂	1	1	yes	maximal, characteristic, complemented
15	#22618634	C₂	1	1	yes	maximal, characteristic, complemented
16	#22618625	C₂	1	1	yes	maximal, characteristic, complemented
17	#22618596	C₂	1	1	yes	maximal, characteristic, complemented
18	#22618580	C₂	1	1	yes	maximal, characteristic, complemented
19	#22618377	C₂	1	1	yes	maximal, characteristic, complemented
20	#22618377	C₂	1	1	yes	maximal, characteristic, complemented
21	#22618375	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#17988553	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×#435×C₇₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#11924028	C₂²	1	1	yes	characteristic
25	C₂²×#11924028	C₂²	1	1	yes	characteristic
26	C₂×#14556597	C₂²	1	1	yes	characteristic, complemented
27	C₂×#14556597	C₂²	1	1	yes	characteristic, complemented
28	C₂×#14556597	C₂²	1	1	yes	characteristic, complemented
29	C₂×#14556597	C₂²	1	1	yes	characteristic, complemented
30	C₂²×#11924012	C₂²	1	1	yes	characteristic, complemented
31	C₂²×#11924012	C₂²	1	1	yes	characteristic, complemented
32	#17989258	C₄	1	1	yes	characteristic
33	D₄×Dic₁₄₆	C₄	1	1	yes	characteristic
34	#17989246	C₄	1	1	yes	characteristic
35	#17989246	C₄	1	1	yes	characteristic
36	#17989242	C₄	1	1	yes	characteristic
37	#17989238	C₄	1	2	yes	—
38	#17989233	C₄	1	1	yes	characteristic
39	#17989233	C₄	1	1	yes	characteristic
40	#17989227	C₄	1	2	yes	—
41	#17989227	C₄	1	2	yes	—
42	D₄×D₂₉₂	C₄	1	1	yes	characteristic
43	D₄×C₂²⋊D₇₃	C₄	1	2	yes	—
44	#17989137	C₂²	1	1	yes	characteristic
45	#17989134	C₂²	1	2	yes	—
46	#17989098	C₂²	1	1	yes	characteristic
47	#17989098	C₂²	1	1	yes	characteristic
48	#17989096	C₂²	1	2	yes	—
49	#17989096	C₂²	1	2	yes	—
50	C₄×#11924028	C₂²	1	1	yes	characteristic
51	C₄×D₄×D₇₃	C₂²	1	2	yes	—
52	#17988665	C₂²	1	2	yes	complemented
53	#17988664	C₂²	1	2	yes	complemented
54	#17988663	C₂²	1	2	yes	complemented
55	#17988663	C₂²	1	2	yes	complemented
56	#17988662	C₂²	1	2	yes	complemented
57	#17988662	C₂²	1	2	yes	complemented
58	#17988661	C₂²	1	2	yes	complemented
59	#17988661	C₂²	1	2	yes	complemented
60	#17988660	C₂²	1	2	yes	complemented
61	#17988660	C₂²	1	2	yes	complemented
62	#17988660	C₂²	1	2	yes	complemented
63	#17988660	C₂²	1	2	yes	complemented
64	#17988659	C₂²	1	2	yes	—
65	#17988659	C₂²	1	2	yes	complemented
66	#17988658	C₂²	1	2	yes	complemented
67	#17988658	C₂²	1	2	yes	complemented
68	#17988657	C₂²	1	2	yes	complemented
69	#17988657	C₂²	1	2	yes	complemented
70	#17988656	C₂²	1	2	yes	complemented
71	#17988656	C₂²	1	2	yes	complemented
72	#17988655	C₂²	1	2	yes	complemented
73	#17988655	C₂²	1	2	yes	complemented
74	D₄×#10596831	C₂²	1	2	yes	complemented
75	#17988652	C₂²	1	2	yes	complemented
76	C₈×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
77	C₈×C₂²⋊D₇₃	C₂²	1	2	yes	complemented
78	#17988650	C₂²	1	2	yes	complemented
79	#17988650	C₂²	1	2	yes	complemented
80	#17988649	C₂²	1	2	yes	complemented
81	#17988649	C₂²	1	2	yes	complemented
82	#17988647	C₂²	1	2	yes	complemented
83	#17988647	C₂²	1	2	yes	complemented
84	#17988643	C₂²	1	2	yes	complemented
85	#17988642	C₂²	1	2	yes	complemented
86	#17988642	C₂²	1	2	yes	complemented
87	#17988639	C₂²	1	2	yes	complemented
88	#17988613	C₂²	1	1	yes	characteristic, complemented
89	#17988613	C₂²	1	1	yes	characteristic, complemented
90	#17988611	C₂²	1	1	yes	characteristic, complemented
91	#17988555	C₂²	1	2	yes	complemented
92	#17988555	C₂²	1	2	yes	complemented
93	#17988553	C₂²	1	1	yes	characteristic
94	#17988553	C₂²	1	1	yes	characteristic
95	#17988553	C₂²	1	1	yes	characteristic
96	#17988553	C₂²	1	1	yes	characteristic
97	#17988553	C₂²	1	1	yes	characteristic, complemented
98	#17988553	C₂²	1	1	yes	characteristic, complemented
99	#17988553	C₂²	1	1	yes	characteristic, complemented
100	#17988553	C₂²	1	2	yes	complemented
101	#17988553	C₂²	1	2	yes	complemented
102	#17988553	C₂²	1	1	yes	characteristic, complemented
103	#17988552	C₂²	1	2	yes	complemented
104	#17988552	C₂²	1	2	yes	complemented
105	#17988552	C₂²	1	2	yes	complemented
106	#17988552	C₂²	1	2	yes	complemented
107	#17988551	C₂²	1	1	yes	characteristic, complemented
108	#17988551	C₂²	1	1	yes	characteristic, complemented
109	#17988550	C₂²	1	2	yes	complemented
110	#17988550	C₂²	1	2	yes	complemented
111	#17988549	C₂²	1	2	yes	complemented
112	#17988549	C₂²	1	2	yes	complemented
113	C₂×#14556503	C₂²	1	2	yes	complemented
114	C₂×#14556503	C₂²	1	2	yes	complemented
115	C₂²⋊C₈×D₇₃	C₂²	1	2	yes	complemented
116	C₂²⋊C₈×D₇₃	C₂²	1	2	yes	complemented
117	#17988542	C₂²	1	1	yes	characteristic, complemented
118	#17988542	C₂²	1	1	yes	characteristic, complemented
119	C₄×#11924012	C₂²	1	1	yes	characteristic, complemented
120	C₂²×M₁₆×C₇₃	C₂²	1	1	yes	characteristic, complemented
121	C₂³×C₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
122	C₂×C₄×D₄×C₇₃	C₂²	1	1	yes	characteristic
123	#435×C₇₃	C₂²	1	1	yes	characteristic
124	#435×C₇₃	C₂²	1	1	yes	characteristic
125	#435×C₇₃	C₂²	1	1	yes	characteristic, complemented
126	#435×C₇₃	C₂²	1	1	yes	characteristic, complemented
127	#435×C₇₃	C₂²	1	1	yes	characteristic, complemented
128	#435×C₇₃	C₂²	1	1	yes	characteristic, complemented
129	#435×C₇₃	C₂²	1	1	yes	characteristic, complemented
130	#435×C₇₃	C₂²	1	1	yes	characteristic, complemented
131	C₂×C₄⋊C₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
132	C₂×C₂²⋊C₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
133	C₂×C₂²⋊C₈×C₇₃	C₂²	1	1	yes	characteristic, complemented
134	C₂×#97×C₇₃	C₂²	1	1	yes	characteristic, complemented
135	C₂×#11924028	—	4	2	no	—
136	C₂×#11924028	—	4	2	no	—
137	C₂×#11924028	—	4	2	no	—
138	C₂×#11924028	—	4	2	no	—
139	C₂×#11924028	C₂×C₄	1	2	yes	—
140	C₂×#11924028	C₂×C₄	1	2	yes	—
141	C₂×#11924028	C₂×C₄	1	1	yes	characteristic
142	C₂×#11924028	C₂×C₄	1	1	yes	characteristic
143	C₂×#11924028	C₂×C₄	1	1	yes	characteristic
144	C₂×#11924028	C₂×C₄	1	1	yes	characteristic
145	C₂×#11924028	C₂³	1	1	yes	characteristic
146	C₂×#11924028	C₂³	1	1	yes	characteristic
147	C₂×#11924028	C₂³	1	1	yes	characteristic
148	C₂×#11924028	C₂³	1	2	yes	—
149	C₂×#11924028	C₂³	1	2	yes	—
150	C₂²×Dic₁₄₆	C₂×C₄	1	1	yes	characteristic
151	C₂²×Dic₁₄₆	C₂×C₄	1	1	yes	characteristic
152	C₂²×D₂₉₂	C₂×C₄	1	1	yes	characteristic
153	C₂²×D₂₉₂	C₂×C₄	1	1	yes	characteristic
154	C₂²×C₂²⋊D₇₃	C₂×C₄	1	2	yes	—
155	C₂²×C₂²⋊D₇₃	C₂×C₄	1	2	yes	—
156	C₂×D₄×D₇₃	C₂×C₄	1	2	yes	—
157	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
158	C₂²×C₄×D₇₃	C₂³	1	2	yes	—
159	#14556597	—	4	2	no	—
160	#14556597	—	4	2	no	—
161	#14556597	—	4	2	no	—
162	#14556597	—	4	2	no	—
163	C₂×#11924012	—	4	2	no	—
164	C₂×#11924012	—	4	2	no	—
165	C₂×#11924012	C₂³	1	1	yes	characteristic
166	C₂×#11924012	C₂³	1	1	yes	characteristic
167	C₂×#11924012	C₂³	1	1	yes	characteristic
168	C₂×#11924012	C₂³	1	1	yes	characteristic
169	C₂×#11924012	C₂³	1	2	yes	—
170	C₂×#11924012	C₂³	1	2	yes	—
171	C₂×#11924011	C₂³	1	2	yes	—
172	C₂×#11924011	C₂³	1	2	yes	—
173	C₂×#11924011	C₂³	1	2	yes	—
174	C₂×#11924011	C₂³	1	2	yes	—
175	C₂²×#10596831	C₂³	1	2	yes	—
176	C₂²×#10596831	C₂³	1	2	yes	—
177	C₂×C₈×D₇₃	C₂³	1	2	yes	—
178	C₂×C₈×D₇₃	C₂³	1	2	yes	—
179	C₂×C₈×D₇₃	C₂³	1	2	yes	—
180	C₂×C₈×D₇₃	C₂³	1	2	yes	—
181	#14556591	C₂×C₄	1	1	yes	characteristic
182	#14556590	C₂×C₄	1	2	yes	—
183	#14556588	C₂×C₄	1	1	yes	characteristic
184	#14556587	C₂×C₄	1	2	yes	—
185	#14556579	C₂×C₄	1	1	yes	characteristic
186	#14556579	C₂×C₄	1	1	yes	characteristic
187	#14556577	C₂×C₄	1	2	yes	—
188	#14556577	C₂×C₄	1	2	yes	—
189	#14556576	C₂×C₄	1	2	yes	—
190	#14556576	C₂×C₄	1	2	yes	—
191	#14556574	C₂×C₄	1	2	yes	—
192	#14556574	C₂×C₄	1	2	yes	—
193	#14556573	C₂×C₄	1	2	yes	—
194	#14556573	C₂×C₄	1	2	yes	—
195	#14556570	C₂×C₄	1	1	yes	characteristic
196	#14556570	C₂×C₄	1	1	yes	characteristic
197	#14556570	C₂×C₄	1	1	yes	characteristic
198	#14556570	C₂×C₄	1	1	yes	characteristic
199	#14556569	C₂×C₄	1	2	yes	—
200	#14556569	C₂×C₄	1	2	yes	—
201	#14556568	C₂×C₄	1	2	yes	—
202	#14556568	C₂×C₄	1	2	yes	—
203	#14556566	C₂×C₄	1	2	yes	—
204	#14556565	C₂×C₄	1	2	yes	—
205	#14556565	C₂×C₄	1	2	yes	—
206	#14556565	C₂×C₄	1	1	yes	characteristic
207	#14556565	C₂×C₄	1	1	yes	characteristic
208	#14556565	C₂×C₄	1	1	yes	characteristic
209	#14556565	C₂×C₄	1	1	yes	characteristic
210	#14556564	C₂×C₄	1	2	yes	—
211	#14556564	C₂×C₄	1	2	yes	—
212	#14556564	C₂×C₄	1	2	yes	—
213	#14556564	C₂×C₄	1	2	yes	—
214	#14556563	C₂×C₄	1	2	yes	—
215	#14556563	C₂×C₄	1	2	yes	—
216	#14556562	C₂×C₄	1	2	yes	—
217	#14556561	C₂×C₄	1	2	yes	—
218	#14556561	C₂×C₄	1	2	yes	—
219	#14556560	C₂×C₄	1	2	yes	—
220	#14556560	C₂×C₄	1	2	yes	—
221	#14556559	C₂×C₄	1	2	yes	—
222	#14556559	C₂×C₄	1	2	yes	—
223	C₄×Dic₁₄₆	C₂×C₄	1	1	yes	characteristic
224	C₄×Dic₁₄₆	C₂×C₄	1	1	yes	characteristic
225	C₄×D₂₉₂	C₂×C₄	1	1	yes	characteristic
226	C₄×D₂₉₂	C₂×C₄	1	1	yes	characteristic
227	C₄×D₂₉₂	C₂³	1	2	yes	—
228	C₄×D₂₉₂	C₂³	1	2	yes	—
229	D₄×Dic₇₃	C₂×C₄	1	2	yes	—
230	#14556553	C₂×C₄	1	2	yes	—
231	C₄×C₂²⋊D₇₃	C₂×C₄	1	2	yes	—
232	C₄×C₂²⋊D₇₃	C₂×C₄	1	2	yes	—
233	C₄×C₂²⋊D₇₃	C₂³	1	2	yes	—
234	C₄×C₂²⋊D₇₃	C₂³	1	2	yes	—
235	C₄×C₂²⋊D₇₃	C₂³	1	2	yes	—
236	C₄×C₂²⋊D₇₃	C₂³	1	2	yes	—
237	#14556551	C₂×C₄	1	2	yes	—
238	#14556551	C₂×C₄	1	2	yes	—
239	#14556550	C₂³	1	1	yes	characteristic
240	#14556548	C₂³	1	2	yes	—
241	C₄⋊C₄×D₇₃	C₂×C₄	1	2	yes	—
242	C₂²⋊C₄×D₇₃	C₂×C₄	1	2	yes	—
243	C₂²⋊C₄×D₇₃	C₂×C₄	1	2	yes	—
244	C₄²×D₇₃	C₂³	1	2	yes	—
245	C₄⋊#10596831	C₂³	1	2	yes	—
246	C₄⋊#10596831	C₂³	1	2	yes	—
247	#14556520	C₂³	1	2	yes	—
248	#14556520	C₂³	1	2	yes	—
249	#14556520	C₂³	1	2	yes	—
250	#14556520	C₂³	1	2	yes	—
251	C₂²⋊#10596831	C₂³	1	2	yes	—
252	C₂²⋊#10596831	C₂³	1	2	yes	—
253	C₂²⋊#10596831	C₂³	1	2	yes	—
254	C₂²⋊#10596831	C₂³	1	2	yes	—
255	#14556503	C₂³	1	2	yes	—
256	#14556503	C₂³	1	2	yes	—
257	#14556503	C₂³	1	2	yes	—
258	#14556503	C₂³	1	2	yes	—
259	#14556503	C₂³	1	2	yes	—
260	#14556503	C₂³	1	2	yes	—
261	#14556503	C₂³	1	2	yes	—
262	#14556503	C₂³	1	2	yes	—
263	#14556503	C₂³	1	2	yes	—
264	#14556503	C₂³	1	2	yes	—
265	#14556503	C₂³	1	2	yes	—
266	#14556503	C₂³	1	2	yes	—
267	#14556503	C₂³	1	2	yes	—
268	#14556503	C₂³	1	2	yes	—
269	#14556503	C₂³	1	2	yes	—
270	#14556503	C₂³	1	2	yes	—
271	#14556502	C₂³	1	2	yes	—
272	#14556501	C₂³	1	2	yes	—
273	#14556501	C₂³	1	2	yes	—
274	C₄×#10596831	C₂³	1	2	yes	—
275	C₈×Dic₇₃	C₂³	1	2	yes	—
276	C₈×Dic₇₃	C₂³	1	2	yes	—
277	C₂²×D₄×C₇₃	C₂×C₄	1	1	yes	characteristic
278	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
279	C₂³×C₄×C₇₃	C₂³	1	1	yes	characteristic
280	C₂×M₁₆×C₇₃	—	4	2	no	—
281	C₂×M₁₆×C₇₃	C₂³	1	1	yes	characteristic
282	C₂×M₁₆×C₇₃	C₂³	1	1	yes	characteristic
283	C₂×M₁₆×C₇₃	C₂³	1	1	yes	characteristic
284	C₂×M₁₆×C₇₃	C₂³	1	1	yes	characteristic
285	C₂²×C₈×C₇₃	—	4	2	no	—
286	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
287	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
288	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
289	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
290	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
291	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
292	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
293	C₂²×C₈×C₇₃	C₂³	1	1	yes	characteristic
294	C₄×D₄×C₇₃	C₂×C₄	1	1	yes	characteristic
295	C₄×D₄×C₇₃	C₂×C₄	1	1	yes	characteristic
296	C₄×D₄×C₇₃	C₂×C₄	1	1	yes	characteristic
297	C₄×D₄×C₇₃	C₂×C₄	1	1	yes	characteristic
298	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
299	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
300	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
301	C₄×D₄×C₇₃	C₂³	1	1	yes	characteristic
302	C₂×C₄⋊C₄×C₇₃	C₂×C₄	1	1	yes	characteristic
303	C₂×C₂²⋊C₄×C₇₃	C₂×C₄	1	1	yes	characteristic
304	C₂×C₂²⋊C₄×C₇₃	C₂×C₄	1	1	yes	characteristic
305	C₂×C₄²×C₇₃	C₂³	1	1	yes	characteristic
306	C₄⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
307	C₄⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
308	C₄⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
309	C₄⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
310	C₂²⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
311	C₂²⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
312	C₂²⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
313	C₂²⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
314	C₂²⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
315	C₂²⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
316	C₂²⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
317	C₂²⋊C₈×C₇₃	C₂³	1	1	yes	characteristic
318	#97×C₇₃	C₂³	1	1	yes	characteristic
319	#97×C₇₃	C₂³	1	1	yes	characteristic
320	#97×C₇₃	C₂³	1	1	yes	characteristic
321	#97×C₇₃	C₂³	1	1	yes	characteristic
322	C₂³×D₇₃	C₂²×C₄	1	2	yes	—
323	C₂³×D₇₃	C₂²×C₄	1	2	yes	—
324	#11924028	—	2	2	no	—
325	#11924028	—	2	2	no	—
326	#11924028	—	2	2	no	—
327	#11924028	—	2	2	no	—
328	#11924028	—	2	2	no	—
329	#11924028	—	2	2	no	—
330	#11924028	—	4	2	no	—
331	#11924028	—	4	2	no	—
332	#11924028	—	4	2	no	—
333	#11924028	—	4	2	no	—
334	#11924028	—	4	2	no	—
335	#11924028	—	4	2	no	—
336	#11924028	—	4	2	no	—
337	#11924028	—	4	2	no	—
338	#11924028	—	4	4	no	—
339	#11924028	—	4	4	no	—
340	C₂×Dic₁₄₆	—	4	2	no	—
341	C₂×Dic₁₄₆	—	4	2	no	—
342	C₂×Dic₁₄₆	C₂²×C₄	1	1	yes	characteristic
343	C₂×Dic₁₄₆	C₂²×C₄	1	1	yes	characteristic
344	C₂×Dic₁₄₆	C₂²×C₄	1	1	yes	characteristic
345	C₂×Dic₁₄₆	C₂²×C₄	1	2	yes	—
346	C₂×Dic₁₄₆	C₂²×C₄	1	2	yes	—
347	C₂×D₂₉₂	—	4	2	no	—
348	C₂×D₂₉₂	—	4	2	no	—
349	C₂×D₂₉₂	C₂²×C₄	1	1	yes	characteristic
350	C₂×D₂₉₂	C₂²×C₄	1	1	yes	characteristic
351	C₂×D₂₉₂	C₂²×C₄	1	1	yes	characteristic
352	C₂×D₂₉₂	C₂²×C₄	1	2	yes	—
353	C₂×D₂₉₂	C₂²×C₄	1	2	yes	—
354	C₂×D₂₉₂	C₂²×C₄	1	2	yes	—
355	C₂×D₂₉₂	C₂²×C₄	1	2	yes	—
356	C₂×C₂²⋊D₇₃	—	4	4	no	—
357	C₂×C₂²⋊D₇₃	—	4	4	no	—
358	C₂×C₂²⋊D₇₃	C₂²×C₄	1	2	yes	—
359	C₂×C₂²⋊D₇₃	C₂²×C₄	1	2	yes	—
360	C₂×C₂²⋊D₇₃	C₂²×C₄	1	2	yes	—
361	C₂×C₂²⋊D₇₃	C₂²×C₄	1	2	yes	—
362	C₂×C₂²⋊D₇₃	C₂²×C₄	1	2	yes	—
363	C₂×C₂²⋊D₇₃	C₂²×C₄	1	2	yes	—
364	C₂×C₂²⋊D₇₃	C₂²×C₄	1	2	yes	—
365	C₂×C₂²⋊D₇₃	C₂²×C₄	1	2	yes	—
366	C₂×C₂²⋊D₇₃	C₂²×C₄	1	2	yes	—
367	C₂×C₂²⋊D₇₃	C₂²×C₄	1	2	yes	—
368	C₂×C₂²⋊D₇₃	C₂²×C₄	1	2	yes	—
369	D₄×D₇₃	—	4	4	no	—
370	C₂²×Dic₇₃	C₂²×C₄	1	2	yes	—
371	C₂²×Dic₇₃	C₂²×C₄	1	2	yes	—
372	C₂×C₄×D₇₃	—	4	2	no	—
373	C₂×C₄×D₇₃	—	4	2	no	—
374	C₂×C₄×D₇₃	—	4	2	no	—
375	C₂×C₄×D₇₃	—	4	2	no	—
376	C₂×C₄×D₇₃	C₂²×C₄	1	2	yes	—
377	C₂×C₄×D₇₃	C₂²×C₄	1	2	yes	—
378	C₂×C₄×D₇₃	C₂²×C₄	1	2	yes	—
379	C₂×C₄×D₇₃	C₂²×C₄	1	2	yes	—
380	C₂×C₄×D₇₃	C₂²×C₄	1	2	yes	—
381	C₂×C₄×D₇₃	C₂²×C₄	1	2	yes	—
382	C₂×C₄×D₇₃	C₂⁴	1	2	yes	—
383	C₂×C₄×D₇₃	C₂⁴	1	2	yes	—
384	C₂×C₄×D₇₃	C₂⁴	1	2	yes	—
385	#11924012	—	2	2	no	—
386	#11924012	—	2	2	no	—
387	#11924012	—	2	2	no	—
388	#11924012	—	2	2	no	—
389	#11924012	—	4	2	no	—
390	#11924012	—	4	2	no	—
391	#11924011	—	4	2	no	—
392	#11924011	—	4	2	no	—
393	#11924011	—	4	2	no	—
394	#11924011	—	4	2	no	—
395	C₂×#10596831	—	4	2	no	—
396	C₂×#10596831	—	4	2	no	—
397	C₂×#10596831	C₂⁴	1	2	yes	—
398	C₂×#10596831	C₂⁴	1	2	yes	—
399	C₂×#10596831	C₂⁴	1	2	yes	—
400	C₂×#10596831	C₂⁴	1	2	yes	—
401	C₈×D₇₃	—	4	2	no	—
402	C₈×D₇₃	—	4	2	no	—
403	C₈×D₇₃	—	4	2	no	—
404	C₈×D₇₃	—	4	2	no	—
405	C₄⋊Dic₇₃	C₂²×C₄	1	2	yes	—
406	C₄⋊Dic₇₃	C₂²×C₄	1	1	yes	characteristic
407	C₄⋊Dic₇₃	C₂²×C₄	1	1	yes	characteristic
408	C₄⋊Dic₇₃	C₂²×C₄	1	2	yes	—
409	#11924007	C₂²×C₄	1	2	yes	—
410	#11924007	C₂²×C₄	1	2	yes	—
411	#11924007	C₂²×C₄	1	2	yes	—
412	#11924007	C₂²×C₄	1	2	yes	—
413	#11924007	C₂²×C₄	1	2	yes	—
414	#11924007	C₂²×C₄	1	2	yes	—
415	C₂²⋊Dic₇₃	C₂²×C₄	1	2	yes	—
416	C₂²⋊Dic₇₃	C₂²×C₄	1	2	yes	—
417	C₂²⋊Dic₇₃	C₂²×C₄	1	2	yes	—
418	C₂²⋊Dic₇₃	C₂²×C₄	1	2	yes	—
419	C₂²⋊Dic₇₃	C₂²×C₄	1	2	yes	—
420	#11924005	C₂²×C₄	1	2	yes	—
421	#11924005	C₂²×C₄	1	2	yes	—
422	#11924005	C₂²×C₄	1	2	yes	—
423	#11924005	C₂²×C₄	1	2	yes	—
424	#11924005	C₂²×C₄	1	2	yes	—
425	#11924005	C₂²×C₄	1	2	yes	—
426	#11924005	C₂²×C₄	1	2	yes	—
427	#11924005	C₂²×C₄	1	2	yes	—
428	#11924005	C₂²×C₄	1	2	yes	—
429	#11924005	C₂²×C₄	1	2	yes	—
430	C₄×Dic₇₃	C₂²×C₄	1	2	yes	—
431	C₄×Dic₇₃	C₂²×C₄	1	2	yes	—
432	C₄×Dic₇₃	C₂⁴	1	2	yes	—
433	C₂⁴×C₇₃	C₂²×C₄	1	1	yes	characteristic
434	C₂⁴×C₇₃	C₂²×C₄	1	1	yes	characteristic
435	C₂×D₄×C₇₃	—	4	2	no	—
436	C₂×D₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
437	C₂×D₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
438	C₂×D₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
439	C₂×D₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
440	C₂²×C₄×C₇₃	—	2	2	no	—
441	C₂²×C₄×C₇₃	—	2	2	no	—
442	C₂²×C₄×C₇₃	—	2	2	no	—
443	C₂²×C₄×C₇₃	—	2	2	no	—
444	C₂²×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
445	C₂²×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
446	C₂²×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
447	C₂²×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
448	C₂²×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
449	C₂²×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
450	C₂²×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
451	C₂²×C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
452	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
453	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
454	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
455	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
456	C₂²×C₄×C₇₃	C₂⁴	1	1	yes	characteristic
457	M₁₆×C₇₃	—	4	1	no	—
458	M₁₆×C₇₃	—	4	1	no	—
459	M₁₆×C₇₃	—	4	1	no	—
460	M₁₆×C₇₃	—	4	1	no	—
461	C₂×C₈×C₇₃	—	2	2	no	—
462	C₂×C₈×C₇₃	—	2	2	no	—
463	C₂×C₈×C₇₃	—	2	2	no	—
464	C₂×C₈×C₇₃	—	2	2	no	—
465	C₂×C₈×C₇₃	—	4	1	no	—
466	C₂×C₈×C₇₃	—	4	1	no	—
467	C₂×C₈×C₇₃	—	4	1	no	—
468	C₂×C₈×C₇₃	—	4	1	no	—
469	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
470	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
471	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
472	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
473	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
474	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
475	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
476	C₂×C₈×C₇₃	C₂⁴	1	1	yes	characteristic
477	C₄⋊C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
478	C₄⋊C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
479	C₄⋊C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
480	C₄⋊C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
481	C₂²⋊C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
482	C₂²⋊C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
483	C₂²⋊C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
484	C₂²⋊C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
485	C₂²⋊C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
486	C₂²⋊C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
487	C₂²⋊C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
488	C₂²⋊C₄×C₇₃	C₂²×C₄	1	1	yes	characteristic
489	C₄²×C₇₃	C₂²×C₄	1	1	yes	characteristic
490	C₄²×C₇₃	C₂²×C₄	1	1	yes	characteristic
491	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
492	C₄²×C₇₃	C₂⁴	1	1	yes	characteristic
493	C₂³×C₇₃	—	2	2	no	—
494	C₂³×C₇₃	—	2	2	no	—
495	C₂³×C₇₃	—	2	2	no	—
496	C₂³×C₇₃	—	4	1	no	—
497	C₂³×C₇₃	—	4	1	no	—
498	C₂³×C₇₃	—	4	1	no	—
499	C₂³×C₇₃	C₂³×C₄	1	1	yes	characteristic
500	C₂³×C₇₃	C₂³×C₄	1	1	yes	characteristic
501	C₂³×C₇₃	C₂³×C₄	1	1	yes	characteristic
502	C₂³×C₇₃	C₂³×C₄	1	1	yes	characteristic
503	C₂³×C₇₃	C₂³×C₄	1	1	yes	characteristic
504	C₂²×D₇₃	—	2	4	no	—
505	C₂²×D₇₃	—	4	2	no	—
506	C₂²×D₇₃	—	4	2	no	—
507	C₂²×D₇₃	—	4	2	no	—
508	C₂²×D₇₃	—	4	2	no	—
509	C₂²×D₇₃	—	4	2	no	—
510	C₂²×D₇₃	C₂³×C₄	1	2	yes	—
511	C₂²×D₇₃	C₂³×C₄	1	2	yes	—
512	C₂²×D₇₃	C₂³×C₄	1	2	yes	—
513	D₄×C₇₃	—	2	2	no	—
514	D₄×C₇₃	—	2	2	no	—
515	D₄×C₇₃	—	4	1	no	—
516	D₄×C₇₃	—	4	1	no	—
517	C₂×C₄×C₇₃	—	2	2	no	—
518	C₂×C₄×C₇₃	—	2	2	no	—
519	C₂×C₄×C₇₃	—	2	2	no	—
520	C₂×C₄×C₇₃	—	2	2	no	—
521	C₂×C₄×C₇₃	—	2	2	no	—
522	C₂×C₄×C₇₃	—	2	2	no	—
523	C₂×C₄×C₇₃	—	2	1	no	—
524	C₂×C₄×C₇₃	—	2	1	no	—
525	C₂×C₄×C₇₃	—	2	1	no	—
526	C₂×C₄×C₇₃	—	2	1	no	—
527	C₂×C₄×C₇₃	—	2	1	no	—
528	C₂×C₄×C₇₃	—	2	1	no	—
529	C₂×C₄×C₇₃	—	2	1	no	—
530	C₂×C₄×C₇₃	—	2	1	no	—
531	C₂×C₄×C₇₃	—	4	1	no	—
532	C₂×C₄×C₇₃	—	4	1	no	—
533	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
534	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
535	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
536	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
537	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
538	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
539	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
540	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
541	C₂×C₄×C₇₃	C₂³×C₄	1	1	yes	characteristic
542	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
543	C₂×C₄×C₇₃	H(5,𝔽₂)	1	2	yes	—
544	C₂×C₄×C₇₃	C₂⁵	1	1	yes	characteristic
545	C₂²⋊D₇₃	—	2	4	no	—
546	C₂²⋊D₇₃	—	2	4	no	—
547	C₂²⋊D₇₃	—	2	4	no	—
548	C₂²⋊D₇₃	—	2	4	no	—
549	C₂²⋊D₇₃	—	4	2	no	—
550	C₂²⋊D₇₃	—	4	2	no	—
551	C₂²⋊D₇₃	—	4	2	no	—
552	C₂²⋊D₇₃	—	4	2	no	—
553	C₂²⋊D₇₃	—	4	2	no	—
554	C₂²⋊D₇₃	—	4	2	no	—
555	C₂²⋊D₇₃	—	4	2	no	—
556	C₂×Dic₇₃	—	4	2	no	—
557	C₂×Dic₇₃	—	4	2	no	—
558	C₂×Dic₇₃	C₂³×C₄	1	2	yes	—
559	C₂×Dic₇₃	C₂³×C₄	1	2	yes	—
560	C₂×Dic₇₃	C₂³×C₄	1	2	yes	—
561	C₂×Dic₇₃	C₂³×C₄	1	2	yes	—
562	C₂×Dic₇₃	C₂³×C₄	1	2	yes	—
563	D₂₉₂	—	2	2	no	—
564	D₂₉₂	—	2	2	no	—
565	D₂₉₂	—	2	2	no	—
566	D₂₉₂	—	4	2	no	—
567	D₂₉₂	—	4	2	no	—
568	D₂₉₂	—	4	2	no	—
569	D₂₉₂	—	4	2	no	—
570	C₄×D₇₃	—	2	2	no	—
571	C₄×D₇₃	—	2	2	no	—
572	C₄×D₇₃	—	2	2	no	—
573	C₄×D₇₃	—	2	2	no	—
574	C₄×D₇₃	—	2	2	no	—
575	C₄×D₇₃	—	2	2	no	—
576	C₄×D₇₃	—	4	2	no	—
577	C₄×D₇₃	—	4	2	no	—
578	C₄×D₇₃	—	4	2	no	—
579	C₄×D₇₃	—	4	2	no	—
580	C₄×D₇₃	—	4	2	no	—
581	C₄×D₇₃	—	4	2	no	—
582	Dic₁₄₆	—	2	2	no	—
583	Dic₁₄₆	—	2	2	no	—
584	Dic₁₄₆	—	2	2	no	—
585	Dic₁₄₆	—	4	2	no	—
586	Dic₁₄₆	—	4	2	no	—
587	C₈×C₇₃	—	2	1	no	—
588	C₈×C₇₃	—	2	1	no	—
589	C₈×C₇₃	—	2	1	no	—
590	C₈×C₇₃	—	2	1	no	—
591	C₈×C₇₃	—	2	1	no	—
592	C₈×C₇₃	—	2	1	no	—
593	C₈×C₇₃	—	2	1	no	—
594	C₈×C₇₃	—	2	1	no	—
595	#10596831	—	2	2	no	—
596	#10596831	—	2	2	no	—
597	#10596831	—	2	2	no	—
598	#10596831	—	2	2	no	—
599	C₂²×C₇₃	—	2	1	no	—
600	C₂²×C₇₃	—	2	1	no	—
601	C₂²×C₇₃	—	2	1	no	—
602	C₂²×C₇₃	—	2	1	no	—
603	C₂²×C₇₃	—	2	1	no	—
604	C₂²×C₇₃	—	2	1	no	—
605	C₂²×C₇₃	—	2	1	no	—
606	C₂²×C₇₃	—	2	1	no	—
607	C₂²×C₇₃	—	2	1	no	—
608	C₂²×C₇₃	—	2	1	no	—
609	C₂²×C₇₃	—	2	1	no	—
610	C₂²×C₇₃	—	2	1	no	—
611	C₂²×C₇₃	—	2	1	no	—
612	C₂²×C₇₃	—	4	4	no	—
613	C₂²×C₇₃	—	8	2	no	—
614	C₂²×C₇₃	#518	1	2	yes	—
615	C₂²×C₇₃	#568	1	2	yes	—
616	C₂²×C₇₃	C₂⁴×C₄	1	1	yes	characteristic
617	C₂×D₇₃	—	2	2	no	—
618	C₂×D₇₃	—	2	2	no	—
619	C₂×D₇₃	—	2	2	no	—
620	C₂×D₇₃	—	2	2	no	—
621	C₂×D₇₃	—	2	2	no	—
622	C₂×D₇₃	—	2	2	no	—
623	C₂×D₇₃	—	2	2	no	—
624	C₂×D₇₃	—	2	2	no	—
625	C₂×D₇₃	—	2	2	no	—
626	C₂×D₇₃	—	8	4	no	—
627	C₂×D₇₃	—	8	4	no	—
628	C₄×C₇₃	—	2	1	no	—
629	C₄×C₇₃	—	2	1	no	—
630	C₄×C₇₃	—	2	1	no	—
631	C₄×C₇₃	—	2	1	no	—
632	C₄×C₇₃	—	2	1	no	—
633	C₄×C₇₃	—	2	1	no	—
634	C₄×C₇₃	—	2	1	no	—
635	C₄×C₇₃	—	2	1	no	—
636	C₄×C₇₃	#518	1	2	yes	—
637	C₄×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
638	C₄×C₇₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
639	Dic₇₃	—	2	2	no	—
640	Dic₇₃	—	2	2	no	—
641	Dic₇₃	—	2	2	no	—
642	Dic₇₃	—	2	2	no	—
643	Dic₇₃	—	2	2	no	—
644	#60240	—	73	1	no	maximal, Sylow
645	C₂×C₇₃	—	2	2	no	—
646	C₂×C₇₃	—	2	2	no	—
647	C₂×C₇₃	—	4	1	no	—
648	C₂×C₇₃	—	4	1	no	—
649	C₂×C₇₃	—	4	1	no	—
650	C₂×C₇₃	C₂×#518	1	1	yes	characteristic
651	C₂×C₇₃	C₂×#568	1	1	yes	characteristic
652	C₂×C₇₃	#3573	1	1	yes	characteristic
653	D₇₃	—	4	2	no	—
654	D₇₃	—	4	2	no	—
655	D₇₃	—	4	2	no	—
656	D₄×#41	—	73	1	no	—
657	#2981	—	73	2	no	—
658	#2980	—	73	2	no	—
659	#2978	—	73	2	no	—
660	#2977	—	73	2	no	—
661	#2976	—	73	2	no	—
662	#2976	—	73	2	no	—
663	#2974	—	73	2	no	—
664	#2973	—	73	2	no	—
665	#2935	—	73	1	no	—
666	D₄×M₁₆	—	73	1	no	—
667	#2933	—	73	1	no	—
668	#2933	—	73	1	no	—
669	#2932	—	73	1	no	—
670	#2930	—	73	1	no	—
671	#2929	—	73	1	no	—
672	C₂×#435	D₇₃	1	1	yes	characteristic, complemented
673	#2925	—	73	1	no	—
674	#2923	—	73	1	no	—
675	#2880	—	73	1	no	—
676	#2880	—	73	1	no	—
677	#2879	—	73	1	no	—
678	C₂×#408	—	73	1	no	—
679	C₇₃	#60240	1	1	yes	characteristic, complemented, Sylow
680	C₂²×#41	—	73	1	no	—
681	C₂²×#41	—	73	1	no	—
682	C₂×#131	—	73	1	no	—
683	C₂×#131	—	73	1	no	—
684	C₂×#131	—	73	1	no	—
685	C₂×#131	—	73	1	no	—
686	C₂²×M₁₆	—	73	1	no	—
687	C₂²×M₁₆	—	73	1	no	—
688	C₂²×M₁₆	C₂×D₇₃	1	1	yes	characteristic, complemented
689	C₂³×C₈	C₂×D₇₃	1	1	yes	characteristic, complemented
690	#550	—	73	1	no	—
691	D₄×Q₈	—	73	1	no	—
692	#548	—	73	1	no	—
693	#548	—	73	1	no	—
694	#547	—	73	1	no	—
695	#547	—	73	2	no	—
696	#546	—	73	1	no	—
697	#546	—	73	1	no	—
698	#546	—	73	2	no	—
699	#546	—	73	2	no	—
700	D₄²	—	73	2	no	—
701	D₄²	—	73	1	no	—
702	#532	—	73	2	no	—
703	#532	—	73	1	no	—
704	#525	—	73	1	no	—
705	#525	—	73	1	no	—
706	#525	—	73	2	no	—
707	#525	—	73	2	no	—
708	C₄×#41	—	73	1	no	—
709	C₂×C₄×D₄	—	73	2	no	—
710	C₂×C₄×D₄	C₂×D₇₃	1	1	yes	characteristic
711	#436	—	73	2	no	—
712	#436	—	73	2	no	—
713	#436	—	73	2	no	—
714	#436	—	73	2	no	—
715	#436	—	73	2	no	—
716	#436	—	73	2	no	—
717	#435	—	73	2	no	—
718	#435	—	73	2	no	—
719	#435	—	73	2	no	—
720	#435	—	73	2	no	—
721	#435	—	73	2	no	—
722	#435	—	73	2	no	—
723	#435	—	73	2	no	—
724	#435	—	73	2	no	—
725	#435	—	73	2	no	—
726	#435	—	73	2	no	—
727	#435	—	73	2	no	—
728	#435	—	73	2	no	—
729	#435	—	73	2	no	—
730	#435	—	73	2	no	—
731	#435	—	73	2	no	—
732	#435	—	73	2	no	—
733	#435	C₂×D₇₃	1	1	yes	characteristic
734	#435	C₂×D₇₃	1	1	yes	characteristic
735	#435	C₂×D₇₃	1	1	yes	characteristic, complemented
736	#435	C₂×D₇₃	1	1	yes	characteristic, complemented
737	#435	C₂×D₇₃	1	1	yes	characteristic, complemented
738	#435	C₂×D₇₃	1	1	yes	characteristic, complemented
739	#435	C₂×D₇₃	1	1	yes	characteristic, complemented
740	#435	C₂×D₇₃	1	1	yes	characteristic, complemented
741	C₈×D₄	—	73	2	no	—
742	C₈×D₄	—	73	2	no	—
743	C₈×D₄	—	73	2	no	—
744	C₈×D₄	—	73	2	no	—
745	C₈×D₄	—	73	2	no	—
746	C₈×D₄	—	73	2	no	—
747	#433	—	73	2	no	—
748	#433	—	73	2	no	—
749	#433	—	73	2	no	—
750	#433	—	73	2	no	—
751	#432	—	73	2	no	—
752	#432	—	73	2	no	—
753	#432	—	73	2	no	—
754	#431	—	73	2	no	—
755	#424	—	73	1	no	—
756	#424	—	73	1	no	—
757	#423	—	73	1	no	—
758	C₂×C₄⋊C₈	C₂×D₇₃	1	1	yes	characteristic, complemented
759	#408	—	73	2	no	—
760	#408	—	73	2	no	—
761	#408	—	73	1	no	—
762	#408	—	73	1	no	—
763	#408	—	73	1	no	—
764	#408	—	73	1	no	—
765	#408	—	73	2	no	—
766	#408	—	73	2	no	—
767	#408	—	73	1	no	—
768	#408	—	73	1	no	—
769	#408	—	73	1	no	—
770	#408	—	73	1	no	—
771	#408	—	73	2	no	—
772	#408	—	73	2	no	—
773	#408	—	73	2	no	—
774	#408	—	73	2	no	—
775	#407	—	73	1	no	—
776	#407	—	73	1	no	—
777	#407	—	73	2	no	—
778	#407	—	73	2	no	—
779	#407	—	73	2	no	—
780	#407	—	73	2	no	—
781	C₂×C₂²⋊C₈	—	73	2	no	—
782	C₂×C₂²⋊C₈	—	73	2	no	—
783	C₂×C₂²⋊C₈	—	73	2	no	—
784	C₂×C₂²⋊C₈	—	73	2	no	—
785	C₂×C₂²⋊C₈	C₂×D₇₃	1	1	yes	characteristic, complemented
786	C₂×C₂²⋊C₈	C₂×D₇₃	1	1	yes	characteristic, complemented
787	#405	—	73	1	no	—
788	#405	—	73	1	no	—
789	C₄×M₁₆	—	73	1	no	—
790	C₂×#97	C₂×D₇₃	1	1	yes	characteristic, complemented
791	C₂×#41	—	292	2	no	—
792	C₂×#41	—	292	2	no	—
793	C₂×#41	—	292	2	no	—
794	C₂×#41	—	292	2	no	—
795	C₂×#41	—	73	1	no	—
796	C₂×#41	—	73	1	no	—
797	C₂×#41	—	73	2	no	—
798	C₂×#41	—	73	2	no	—
799	C₂×#41	—	73	1	no	—
800	C₂×#41	—	73	1	no	—
801	C₂×#41	—	73	2	no	—
802	C₂×#41	—	73	2	no	—
803	C₂×#41	—	73	1	no	—
804	C₂×#41	—	73	1	no	—
805	C₂×#41	—	73	1	no	—
806	C₂²×Q₈	—	73	1	no	—
807	C₂²×Q₈	—	73	1	no	—
808	C₂²×D₄	—	73	2	no	—
809	C₂²×D₄	—	73	2	no	—
810	C₂²×D₄	—	73	2	no	—
811	C₂²×D₄	—	73	1	no	—
812	C₂²×D₄	—	73	1	no	—
813	C₂²×D₄	C₄×D₇₃	1	1	yes	characteristic
814	C₂³×C₄	—	73	2	no	—
815	C₂³×C₄	—	73	2	no	—
816	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
817	C₂³×C₄	C₂²×D₇₃	1	1	yes	characteristic
818	#131	—	292	2	no	—
819	#131	—	292	2	no	—
820	#131	—	292	2	no	—
821	#131	—	292	2	no	—
822	C₂×M₁₆	—	4	2	no	—
823	C₂×M₁₆	—	292	2	no	—
824	C₂×M₁₆	—	292	2	no	—
825	C₂×M₁₆	—	73	2	no	—
826	C₂×M₁₆	—	73	2	no	—
827	C₂×M₁₆	—	73	1	no	—
828	C₂×M₁₆	—	73	1	no	—
829	C₂×M₁₆	—	73	1	no	—
830	C₂×M₁₆	—	73	1	no	—
831	C₂×M₁₆	—	73	2	no	—
832	C₂×M₁₆	—	73	2	no	—
833	C₂×M₁₆	—	73	2	no	—
834	C₂×M₁₆	—	73	2	no	—
835	C₂×M₁₆	C₂²×D₇₃	1	1	yes	characteristic
836	C₂×M₁₆	C₂²×D₇₃	1	1	yes	characteristic
837	C₂×M₁₆	C₂²×D₇₃	1	1	yes	characteristic
838	C₂×M₁₆	C₂²×D₇₃	1	1	yes	characteristic
839	C₂²×C₈	—	4	2	no	—
840	C₂²×C₈	—	73	2	no	—
841	C₂²×C₈	—	73	2	no	—
842	C₂²×C₈	—	73	2	no	—
843	C₂²×C₈	—	73	2	no	—
844	C₂²×C₈	—	73	2	no	—
845	C₂²×C₈	—	73	2	no	—
846	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
847	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
848	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
849	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
850	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
851	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
852	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
853	C₂²×C₈	C₂²×D₇₃	1	1	yes	characteristic
854	C₄⋊Q₈	—	73	2	no	—
855	C₄⋊Q₈	—	73	1	no	—
856	#127	—	73	2	no	—
857	#127	—	73	1	no	—
858	#124	—	73	2	no	—
859	#124	—	73	2	no	—
860	#124	—	73	1	no	—
861	#124	—	73	1	no	—
862	#123	—	73	2	no	—
863	#123	—	73	2	no	—
864	#123	—	73	2	no	—
865	#123	—	73	2	no	—
866	#123	—	73	2	no	—
867	#123	—	73	2	no	—
868	C₂²⋊Q₈	—	73	1	no	—
869	C₂²⋊Q₈	—	73	1	no	—
870	C₂²⋊Q₈	—	73	1	no	—
871	C₂²⋊Q₈	—	73	1	no	—
872	C₂²⋊Q₈	—	73	2	no	—
873	C₂²⋊Q₈	—	73	2	no	—
874	C₂²⋊Q₈	—	73	2	no	—
875	C₂²⋊Q₈	—	73	2	no	—
876	#121	—	73	2	no	—
877	#121	—	73	2	no	—
878	#121	—	73	2	no	—
879	#121	—	73	1	no	—
880	#121	—	73	1	no	—
881	#121	—	73	1	no	—
882	#121	—	73	1	no	—
883	#121	—	73	2	no	—
884	#121	—	73	2	no	—
885	#121	—	73	2	no	—
886	#121	—	73	2	no	—
887	#121	—	73	2	no	—
888	#121	—	73	2	no	—
889	#121	—	73	2	no	—
890	#120	—	73	2	no	—
891	#120	—	73	2	no	—
892	#120	—	73	2	no	—
893	#120	—	73	2	no	—
894	#120	—	73	2	no	—
895	#120	—	73	2	no	—
896	C₄×Q₈	—	73	1	no	—
897	C₄×Q₈	—	73	1	no	—
898	C₄×D₄	—	73	2	no	—
899	C₄×D₄	—	73	2	no	—
900	C₄×D₄	—	73	2	no	—
901	C₄×D₄	—	73	2	no	—
902	C₄×D₄	—	73	2	no	—
903	C₄×D₄	—	73	2	no	—
904	C₄×D₄	—	73	2	no	—
905	C₄×D₄	—	73	2	no	—
906	C₄×D₄	—	73	2	no	—
907	C₄×D₄	—	73	2	no	—
908	C₄×D₄	—	73	1	no	—
909	C₄×D₄	—	73	1	no	—
910	C₄×D₄	—	73	2	no	—
911	C₄×D₄	—	73	2	no	—
912	C₄×D₄	C₄×D₇₃	1	1	yes	characteristic
913	C₄×D₄	C₄×D₇₃	1	1	yes	characteristic
914	C₄×D₄	C₄×D₇₃	1	1	yes	characteristic
915	C₄×D₄	C₄×D₇₃	1	1	yes	characteristic
916	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
917	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
918	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
919	C₄×D₄	C₂²×D₇₃	1	1	yes	characteristic
920	#117	—	73	1	no	—
921	#117	—	73	2	no	—
922	C₂×C₄⋊C₄	—	73	2	no	—
923	C₂×C₄⋊C₄	C₄×D₇₃	1	1	yes	characteristic
924	C₂×C₂²⋊C₄	—	73	2	no	—
925	C₂×C₂²⋊C₄	—	73	2	no	—
926	C₂×C₂²⋊C₄	C₄×D₇₃	1	1	yes	characteristic
927	C₂×C₂²⋊C₄	C₄×D₇₃	1	1	yes	characteristic
928	C₂×C₄²	—	73	2	no	—
929	C₂×C₄²	C₂²×D₇₃	1	1	yes	characteristic
930	C₄⋊C₈	—	73	2	no	—
931	C₄⋊C₈	—	73	2	no	—
932	C₄⋊C₈	—	73	2	no	—
933	C₄⋊C₈	—	73	2	no	—
934	C₄⋊C₈	—	73	2	no	—
935	C₄⋊C₈	—	73	2	no	—
936	C₄⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
937	C₄⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
938	C₄⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
939	C₄⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
940	C₂²⋊C₈	—	73	2	no	—
941	C₂²⋊C₈	—	73	2	no	—
942	C₂²⋊C₈	—	73	2	no	—
943	C₂²⋊C₈	—	73	2	no	—
944	C₂²⋊C₈	—	73	2	no	—
945	C₂²⋊C₈	—	73	2	no	—
946	C₂²⋊C₈	—	73	2	no	—
947	C₂²⋊C₈	—	73	2	no	—
948	C₂²⋊C₈	—	73	2	no	—
949	C₂²⋊C₈	—	73	2	no	—
950	C₂²⋊C₈	—	73	2	no	—
951	C₂²⋊C₈	—	73	2	no	—
952	C₂²⋊C₈	—	73	2	no	—
953	C₂²⋊C₈	—	73	2	no	—
954	C₂²⋊C₈	—	73	2	no	—
955	C₂²⋊C₈	—	73	2	no	—
956	C₂²⋊C₈	—	73	2	no	—
957	C₂²⋊C₈	—	73	2	no	—
958	C₂²⋊C₈	—	73	2	no	—
959	C₂²⋊C₈	—	73	2	no	—
960	C₂²⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
961	C₂²⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
962	C₂²⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
963	C₂²⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
964	C₂²⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
965	C₂²⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
966	C₂²⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
967	C₂²⋊C₈	C₂²×D₇₃	1	1	yes	characteristic
968	#97	—	73	2	no	—
969	#97	—	73	2	no	—
970	#97	—	73	2	no	—
971	#97	C₂²×D₇₃	1	1	yes	characteristic
972	#97	C₂²×D₇₃	1	1	yes	characteristic
973	#97	C₂²×D₇₃	1	1	yes	characteristic
974	#97	C₂²×D₇₃	1	1	yes	characteristic
975	C₄×C₈	—	73	2	no	—
976	C₄×C₈	—	73	2	no	—
977	C₄×C₈	—	73	2	no	—
978	C₂⁴	—	73	2	no	—
979	C₂⁴	—	73	2	no	—
980	C₂⁴	C₂×C₄×D₇₃	1	1	yes	characteristic
981	C₂⁴	C₂×C₄×D₇₃	1	1	yes	characteristic
982	#41	—	292	2	no	—
983	#41	—	292	2	no	—
984	#41	—	292	2	no	—
985	#41	—	292	2	no	—
986	#41	—	292	4	no	—
987	#41	—	292	4	no	—
988	#41	—	292	2	no	—
989	#41	—	292	2	no	—
990	#41	—	292	2	no	—
991	#41	—	292	2	no	—
992	#41	—	146	2	no	—
993	#41	—	146	2	no	—
994	#41	—	146	2	no	—
995	#41	—	146	2	no	—
996	#41	—	146	2	no	—
997	#41	—	146	2	no	—
998	C₂×Q₈	—	292	2	no	—
999	C₂×Q₈	—	292	2	no	—
1000	C₂×Q₈	—	73	2	no	—
1001	C₂×Q₈	—	73	2	no	—
1002	C₂×Q₈	—	73	1	no	—
1003	C₂×Q₈	—	73	1	no	—
1004	C₂×Q₈	—	73	1	no	—
1005	C₂×D₄	—	4	2	no	—
1006	C₂×D₄	—	292	2	no	—
1007	C₂×D₄	—	292	2	no	—
1008	C₂×D₄	—	292	4	no	—
1009	C₂×D₄	—	292	4	no	—
1010	C₂×D₄	—	292	4	no	—
1011	C₂×D₄	—	73	2	no	—
1012	C₂×D₄	—	73	2	no	—
1013	C₂×D₄	—	73	2	no	—
1014	C₂×D₄	—	73	2	no	—
1015	C₂×D₄	—	73	2	no	—
1016	C₂×D₄	—	73	2	no	—
1017	C₂×D₄	—	73	2	no	—
1018	C₂×D₄	—	73	2	no	—
1019	C₂×D₄	—	73	2	no	—
1020	C₂×D₄	—	73	2	no	—
1021	C₂×D₄	—	73	2	no	—
1022	C₂×D₄	—	73	2	no	—
1023	C₂×D₄	—	73	2	no	—
1024	C₂×D₄	—	73	2	no	—
1025	C₂×D₄	—	73	2	no	—
1026	C₂×D₄	—	73	1	no	—
1027	C₂×D₄	—	73	1	no	—
1028	C₂×D₄	—	73	1	no	—
1029	C₂×D₄	C₂×C₄×D₇₃	1	1	yes	characteristic
1030	C₂×D₄	C₂×C₄×D₇₃	1	1	yes	characteristic
1031	C₂×D₄	C₂×C₄×D₇₃	1	1	yes	characteristic
1032	C₂×D₄	C₂×C₄×D₇₃	1	1	yes	characteristic
1033	C₂²×C₄	—	2	2	no	—
1034	C₂²×C₄	—	2	2	no	—
1035	C₂²×C₄	—	2	2	no	—
1036	C₂²×C₄	—	2	2	no	—
1037	C₂²×C₄	—	292	2	no	—
1038	C₂²×C₄	—	292	2	no	—
1039	C₂²×C₄	—	292	2	no	—
1040	C₂²×C₄	—	292	2	no	—
1041	C₂²×C₄	—	73	2	no	—
1042	C₂²×C₄	—	73	2	no	—
1043	C₂²×C₄	—	73	2	no	—
1044	C₂²×C₄	—	73	2	no	—
1045	C₂²×C₄	—	73	2	no	—
1046	C₂²×C₄	—	73	2	no	—
1047	C₂²×C₄	—	73	2	no	—
1048	C₂²×C₄	—	73	2	no	—
1049	C₂²×C₄	—	73	2	no	—
1050	C₂²×C₄	—	73	2	no	—
1051	C₂²×C₄	—	73	2	no	—
1052	C₂²×C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
1053	C₂²×C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
1054	C₂²×C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
1055	C₂²×C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
1056	C₂²×C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
1057	C₂²×C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
1058	C₂²×C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
1059	C₂²×C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
1060	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1061	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1062	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1063	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1064	C₂²×C₄	C₂³×D₇₃	1	1	yes	characteristic
1065	M₁₆	—	4	1	no	—
1066	M₁₆	—	4	1	no	—
1067	M₁₆	—	4	1	no	—
1068	M₁₆	—	4	1	no	—
1069	M₁₆	—	292	2	no	—
1070	M₁₆	—	292	2	no	—
1071	M₁₆	—	292	2	no	—
1072	M₁₆	—	292	2	no	—
1073	M₁₆	—	292	2	no	—
1074	M₁₆	—	292	2	no	—
1075	M₁₆	—	146	2	no	—
1076	M₁₆	—	146	2	no	—
1077	M₁₆	—	146	2	no	—
1078	M₁₆	—	146	2	no	—
1079	C₂×C₈	—	2	2	no	—
1080	C₂×C₈	—	2	2	no	—
1081	C₂×C₈	—	2	2	no	—
1082	C₂×C₈	—	2	2	no	—
1083	C₂×C₈	—	4	1	no	—
1084	C₂×C₈	—	4	1	no	—
1085	C₂×C₈	—	4	1	no	—
1086	C₂×C₈	—	4	1	no	—
1087	C₂×C₈	—	292	2	no	—
1088	C₂×C₈	—	292	2	no	—
1089	C₂×C₈	—	292	2	no	—
1090	C₂×C₈	—	292	2	no	—
1091	C₂×C₈	—	292	2	no	—
1092	C₂×C₈	—	292	2	no	—
1093	C₂×C₈	—	73	2	no	—
1094	C₂×C₈	—	73	2	no	—
1095	C₂×C₈	—	73	2	no	—
1096	C₂×C₈	—	73	2	no	—
1097	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
1098	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
1099	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
1100	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
1101	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
1102	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
1103	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
1104	C₂×C₈	C₂³×D₇₃	1	1	yes	characteristic
1105	C₄⋊C₄	—	73	2	no	—
1106	C₄⋊C₄	—	73	2	no	—
1107	C₄⋊C₄	—	73	2	no	—
1108	C₄⋊C₄	—	73	2	no	—
1109	C₄⋊C₄	—	73	2	no	—
1110	C₄⋊C₄	—	73	2	no	—
1111	C₄⋊C₄	—	73	2	no	—
1112	C₄⋊C₄	—	73	1	no	—
1113	C₄⋊C₄	—	73	1	no	—
1114	C₄⋊C₄	—	73	2	no	—
1115	C₄⋊C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
1116	C₄⋊C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
1117	C₄⋊C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
1118	C₄⋊C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
1119	C₂²⋊C₄	—	73	2	no	—
1120	C₂²⋊C₄	—	73	2	no	—
1121	C₂²⋊C₄	—	73	2	no	—
1122	C₂²⋊C₄	—	73	2	no	—
1123	C₂²⋊C₄	—	73	2	no	—
1124	C₂²⋊C₄	—	73	2	no	—
1125	C₂²⋊C₄	—	73	2	no	—
1126	C₂²⋊C₄	—	73	2	no	—
1127	C₂²⋊C₄	—	73	2	no	—
1128	C₂²⋊C₄	—	73	2	no	—
1129	C₂²⋊C₄	—	73	2	no	—
1130	C₂²⋊C₄	—	73	2	no	—
1131	C₂²⋊C₄	—	73	2	no	—
1132	C₂²⋊C₄	—	73	2	no	—
1133	C₂²⋊C₄	—	73	2	no	—
1134	C₂²⋊C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
1135	C₂²⋊C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
1136	C₂²⋊C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
1137	C₂²⋊C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
1138	C₂²⋊C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
1139	C₂²⋊C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
1140	C₂²⋊C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
1141	C₂²⋊C₄	C₂×C₄×D₇₃	1	1	yes	characteristic
1142	C₄²	—	73	2	no	—
1143	C₄²	—	73	2	no	—
1144	C₄²	—	73	2	no	—
1145	C₄²	C₂×C₄×D₇₃	1	1	yes	characteristic
1146	C₄²	C₂×C₄×D₇₃	1	1	yes	characteristic
1147	C₄²	C₂³×D₇₃	1	1	yes	characteristic
1148	C₄²	C₂³×D₇₃	1	1	yes	characteristic
1149	C₂³	—	2	2	no	—
1150	C₂³	—	2	2	no	—
1151	C₂³	—	2	2	no	—
1152	C₂³	—	4	1	no	—
1153	C₂³	—	4	1	no	—
1154	C₂³	—	4	1	no	—
1155	C₂³	—	292	2	no	—
1156	C₂³	—	292	2	no	—
1157	C₂³	—	292	2	no	—
1158	C₂³	—	292	2	no	—
1159	C₂³	—	292	2	no	—
1160	C₂³	—	73	2	no	—
1161	C₂³	—	73	2	no	—
1162	C₂³	—	73	2	no	—
1163	C₂³	—	146	4	no	—
1164	C₂³	C₂²×C₄×D₇₃	1	1	yes	characteristic
1165	C₂³	C₂²×C₄×D₇₃	1	1	yes	characteristic
1166	C₂³	C₂²×C₄×D₇₃	1	1	yes	characteristic
1167	C₂³	C₂²×C₄×D₇₃	1	1	yes	characteristic
1168	C₂³	C₂²×C₄×D₇₃	1	1	yes	characteristic
1169	Q₈	—	292	2	no	—
1170	Q₈	—	292	2	no	—
1171	Q₈	—	146	2	no	—
1172	Q₈	—	146	2	no	—
1173	Q₈	—	146	2	no	—
1174	D₄	—	2	2	no	—
1175	D₄	—	2	2	no	—
1176	D₄	—	4	1	no	—
1177	D₄	—	4	1	no	—
1178	D₄	—	292	2	no	—
1179	D₄	—	292	2	no	—
1180	D₄	—	292	2	no	—
1181	D₄	—	292	2	no	—
1182	D₄	—	292	2	no	—
1183	D₄	—	292	2	no	—
1184	D₄	—	292	2	no	—
1185	D₄	—	292	2	no	—
1186	D₄	—	292	2	no	—
1187	D₄	—	292	2	no	—
1188	D₄	—	292	2	no	—
1189	D₄	—	146	4	no	—
1190	D₄	—	146	4	no	—
1191	D₄	—	146	4	no	—
1192	D₄	—	146	4	no	—
1193	D₄	—	146	2	no	—
1194	D₄	—	146	2	no	—
1195	D₄	—	146	2	no	—
1196	C₂×C₄	—	2	2	no	—
1197	C₂×C₄	—	2	2	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	2	1	no	—
1204	C₂×C₄	—	2	1	no	—
1205	C₂×C₄	—	2	1	no	—
1206	C₂×C₄	—	2	2	no	—
1207	C₂×C₄	—	2	2	no	—
1208	C₂×C₄	—	2	2	no	—
1209	C₂×C₄	—	2	2	no	—
1210	C₂×C₄	—	4	1	no	—
1211	C₂×C₄	—	4	1	no	—
1212	C₂×C₄	—	292	2	no	—
1213	C₂×C₄	—	292	2	no	—
1214	C₂×C₄	—	292	2	no	—
1215	C₂×C₄	—	292	2	no	—
1216	C₂×C₄	—	292	2	no	—
1217	C₂×C₄	—	292	2	no	—
1218	C₂×C₄	—	292	2	no	—
1219	C₂×C₄	—	292	2	no	—
1220	C₂×C₄	—	73	2	no	—
1221	C₂×C₄	—	73	2	no	—
1222	C₂×C₄	—	73	2	no	—
1223	C₂×C₄	—	73	2	no	—
1224	C₂×C₄	—	73	2	no	—
1225	C₂×C₄	—	146	2	no	—
1226	C₂×C₄	—	146	2	no	—
1227	C₂×C₄	—	146	2	no	—
1228	C₂×C₄	—	146	2	no	—
1229	C₂×C₄	—	146	2	no	—
1230	C₂×C₄	—	146	2	no	—
1231	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
1232	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
1233	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
1234	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
1235	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
1236	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
1237	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
1238	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
1239	C₂×C₄	C₂²×C₄×D₇₃	1	1	yes	characteristic
1240	C₂×C₄	#14556636	1	2	yes	—
1241	C₂×C₄	#14556637	1	2	yes	—
1242	C₂×C₄	C₂⁴×D₇₃	1	1	yes	characteristic
1243	C₈	—	2	1	no	—
1244	C₈	—	2	1	no	—
1245	C₈	—	2	1	no	—
1246	C₈	—	2	1	no	—
1247	C₈	—	2	1	no	—
1248	C₈	—	2	1	no	—
1249	C₈	—	2	1	no	—
1250	C₈	—	2	1	no	—
1251	C₈	—	146	2	no	—
1252	C₈	—	146	2	no	—
1253	C₈	—	146	2	no	—
1254	C₈	—	146	2	no	—
1255	C₂²	—	2	1	no	—
1256	C₂²	—	2	1	no	—
1257	C₂²	—	2	1	no	—
1258	C₂²	—	2	1	no	—
1259	C₂²	—	2	1	no	—
1260	C₂²	—	2	1	no	—
1261	C₂²	—	2	1	no	—
1262	C₂²	—	2	1	no	—
1263	C₂²	—	2	1	no	—
1264	C₂²	—	2	1	no	—
1265	C₂²	—	2	1	no	—
1266	C₂²	—	2	1	no	—
1267	C₂²	—	2	1	no	—
1268	C₂²	—	4	4	no	—
1269	C₂²	—	8	2	no	—
1270	C₂²	—	584	4	no	—
1271	C₂²	—	584	4	no	—
1272	C₂²	—	146	2	no	—
1273	C₂²	—	146	2	no	—
1274	C₂²	—	146	2	no	—
1275	C₂²	—	146	2	no	—
1276	C₂²	—	146	2	no	—
1277	C₂²	—	146	2	no	—
1278	C₂²	—	146	2	no	—
1279	C₂²	—	146	2	no	—
1280	C₂²	—	146	2	no	—
1281	C₂²	#17989059	1	2	yes	—
1282	C₂²	#17989353	1	2	yes	—
1283	C₂²	C₂³×C₄×D₇₃	1	1	yes	characteristic
1284	C₄	—	2	1	no	—
1285	C₄	—	2	1	no	—
1286	C₄	—	2	1	no	—
1287	C₄	—	2	1	no	—
1288	C₄	—	2	1	no	—
1289	C₄	—	2	1	no	—
1290	C₄	—	2	1	no	—
1291	C₄	—	2	1	no	—
1292	C₄	—	146	2	no	—
1293	C₄	—	146	2	no	—
1294	C₄	—	146	2	no	—
1295	C₄	—	146	2	no	—
1296	C₄	—	146	2	no	—
1297	C₄	#17989059	1	2	yes	—
1298	C₄	C₂×#14556636	1	1	yes	characteristic
1299	C₄	C₂×#14556637	1	1	yes	characteristic
1300	C₂	—	2	2	no	—
1301	C₂	—	2	2	no	—
1302	C₂	—	4	1	no	—
1303	C₂	—	4	1	no	—
1304	C₂	—	4	1	no	—
1305	C₂	—	292	2	no	—
1306	C₂	—	292	2	no	—
1307	C₂	—	292	2	no	—
1308	C₂	C₂×#17989059	1	1	yes	characteristic
1309	C₂	C₂×#17989353	1	1	yes	characteristic
1310	C₂	#22624642	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂×C₄	C₂⁴×D₇₃
commutator, socle	C₂²×C₇₃	C₂⁴×C₄
Fitting	C₂×#435×C₇₃	C₂
prime radical	D₄×#11924028	C₂
cosocle	C₂×C₄×C₇₃	C₂⁵
hypercenter	C₂×#435	D₇₃
hypocenter	C₇₃	#60240
LCS	G ▷ C₂²×C₇₃ ▷ C₇₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×#435

Complements

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

N	H ≅ G/N	type
2. #22619003	C₂	semidirect
3. #22618999	C₂	semidirect
4. #22618990	C₂	semidirect
5. #22618982	C₂	semidirect
6. #22618980	C₂	semidirect
7. #22618978	C₂	semidirect
8. #22618961	C₂	semidirect
9. #22618956	C₂	semidirect
10. #22618674	C₂	semidirect
11. D₄×#11924012	C₂	semidirect
12. #22618652	C₂	semidirect
13. #22618652	C₂	semidirect
14. #22618650	C₂	semidirect
15. #22618634	C₂	semidirect
16. #22618625	C₂	semidirect
17. #22618596	C₂	semidirect
18. #22618580	C₂	semidirect
19. #22618377	C₂	semidirect
20. #22618377	C₂	semidirect
21. #22618375	C₂	semidirect
22. C₂×#17988553	C₂	semidirect
23. C₂×#435×C₇₃	C₂	semidirect
26. C₂×#14556597	C₂²	semidirect
27. C₂×#14556597	C₂²	semidirect
28. C₂×#14556597	C₂²	semidirect
29. C₂×#14556597	C₂²	semidirect
30. C₂²×#11924012	C₂²	semidirect
31. C₂²×#11924012	C₂²	semidirect
52. #17988665	C₂²	semidirect
53. #17988664	C₂²	semidirect
54. #17988663	C₂²	semidirect
55. #17988663	C₂²	semidirect
56. #17988662	C₂²	semidirect
57. #17988662	C₂²	semidirect
58. #17988661	C₂²	semidirect
59. #17988661	C₂²	semidirect
60. #17988660	C₂²	semidirect
61. #17988660	C₂²	semidirect
62. #17988660	C₂²	semidirect
63. #17988660	C₂²	semidirect
65. #17988659	C₂²	semidirect
66. #17988658	C₂²	semidirect
67. #17988658	C₂²	semidirect
68. #17988657	C₂²	semidirect
69. #17988657	C₂²	semidirect
70. #17988656	C₂²	semidirect
71. #17988656	C₂²	semidirect
72. #17988655	C₂²	semidirect
73. #17988655	C₂²	semidirect
74. D₄×#10596831	C₂²	semidirect
75. #17988652	C₂²	semidirect
76. C₈×C₂²⋊D₇₃	C₂²	semidirect
77. C₈×C₂²⋊D₇₃	C₂²	semidirect
78. #17988650	C₂²	semidirect
79. #17988650	C₂²	semidirect
80. #17988649	C₂²	semidirect
81. #17988649	C₂²	semidirect
82. #17988647	C₂²	semidirect
83. #17988647	C₂²	semidirect
84. #17988643	C₂²	semidirect
85. #17988642	C₂²	semidirect
86. #17988642	C₂²	semidirect
87. #17988639	C₂²	semidirect
88. #17988613	C₂²	semidirect
89. #17988613	C₂²	semidirect
90. #17988611	C₂²	semidirect
91. #17988555	C₂²	semidirect
92. #17988555	C₂²	semidirect
97. #17988553	C₂²	semidirect
98. #17988553	C₂²	semidirect
99. #17988553	C₂²	semidirect
100. #17988553	C₂²	semidirect
101. #17988553	C₂²	semidirect
102. #17988553	C₂²	semidirect
103. #17988552	C₂²	semidirect
104. #17988552	C₂²	semidirect
105. #17988552	C₂²	semidirect
106. #17988552	C₂²	semidirect
107. #17988551	C₂²	semidirect
108. #17988551	C₂²	semidirect
109. #17988550	C₂²	semidirect
110. #17988550	C₂²	semidirect
111. #17988549	C₂²	semidirect
112. #17988549	C₂²	semidirect
113. C₂×#14556503	C₂²	semidirect
114. C₂×#14556503	C₂²	semidirect
115. C₂²⋊C₈×D₇₃	C₂²	semidirect
116. C₂²⋊C₈×D₇₃	C₂²	semidirect
117. #17988542	C₂²	semidirect
118. #17988542	C₂²	semidirect
119. C₄×#11924012	C₂²	semidirect
120. C₂²×M₁₆×C₇₃	C₂²	semidirect
121. C₂³×C₈×C₇₃	C₂²	semidirect
125. #435×C₇₃	C₂²	semidirect
126. #435×C₇₃	C₂²	semidirect
127. #435×C₇₃	C₂²	semidirect
128. #435×C₇₃	C₂²	semidirect
129. #435×C₇₃	C₂²	semidirect
130. #435×C₇₃	C₂²	semidirect
131. C₂×C₄⋊C₈×C₇₃	C₂²	semidirect
132. C₂×C₂²⋊C₈×C₇₃	C₂²	semidirect
133. C₂×C₂²⋊C₈×C₇₃	C₂²	semidirect
134. C₂×#97×C₇₃	C₂²	semidirect
672. C₂×#435	D₇₃	semidirect
679. C₇₃	#60240	semidirect
688. C₂²×M₁₆	C₂×D₇₃	semidirect
689. C₂³×C₈	C₂×D₇₃	semidirect
735. #435	C₂×D₇₃	semidirect
736. #435	C₂×D₇₃	semidirect
737. #435	C₂×D₇₃	semidirect
738. #435	C₂×D₇₃	semidirect
739. #435	C₂×D₇₃	semidirect
740. #435	C₂×D₇₃	semidirect
758. C₂×C₄⋊C₈	C₂×D₇₃	semidirect
785. C₂×C₂²⋊C₈	C₂×D₇₃	semidirect
786. C₂×C₂²⋊C₈	C₂×D₇₃	semidirect
790. C₂×#97	C₂×D₇₃	semidirect

Maximal subgroups

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

subgroup	index
D₄×#11924028	2
#22619003	2
#22618999	2
#22618990	2
#22618982	2
#22618980	2
#22618978	2
#22618961	2
#22618956	2
#22618674	2
D₄×#11924012	2
#22618652	2
#22618650	2
#22618634	2
#22618625	2
#22618596	2
#22618580	2
#22618377	2
#22618375	2
C₂×#17988553	2
C₂×#435×C₇₃	2
#60240	73