Subgroups — C₄×#14583484 #25255664

Order 11008.

2650 conjugacy classes of subgroups.

The subgroup lattice has 1608 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583484	C₂	1	1	yes	maximal, characteristic
2	#19137409	C₂	1	1	yes	maximal, characteristic, complemented
3	#19137404	C₂	1	1	yes	maximal, characteristic, complemented
4	#19137386	C₂	1	1	yes	maximal, characteristic, complemented
5	#19137380	C₂	1	1	yes	maximal, characteristic, complemented
6	#19137371	C₂	1	1	yes	maximal, characteristic, complemented
7	#19137365	C₂	1	1	yes	maximal, characteristic, complemented
8	#19137361	C₂	1	1	yes	maximal, characteristic, complemented
9	#19137356	C₂	1	1	yes	maximal, characteristic, complemented
10	#19137326	C₂	1	1	yes	maximal, characteristic, complemented
11	#19137296	C₂	1	1	yes	maximal, characteristic, complemented
12	#19137256	C₂	1	1	yes	maximal, characteristic, complemented
13	#19137250	C₂	1	1	yes	maximal, characteristic, complemented
14	#19137223	C₂	1	1	yes	maximal, characteristic, complemented
15	#19137221	C₂	1	1	yes	maximal, characteristic, complemented
16	#19137191	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄×#13063318	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄×#13063318	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×#13063312	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×#13063311	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×#13063302	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#13063307	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#13063306	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#13063297	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×#13063297	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×#13063296	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×#13063294	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×D₄×Dic₄₃	C₂	1	1	yes	maximal, characteristic, complemented
29	C₄×(C₂²⋊D₄₃)⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₄×C₂²⋊Dic₄₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×#120×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
32	#14583484	C₄	1	16	yes	direct product factor
33	C₂×#13063318	C₂²	1	1	yes	characteristic
34	C₂×#13063318	C₂²	1	1	yes	characteristic
35	C₂×#13063312	C₂²	1	1	yes	characteristic
36	C₂×#13063311	C₂²	1	1	yes	characteristic
37	C₂×#13063307	C₂²	1	1	yes	characteristic
38	C₂×#13063306	C₂²	1	1	yes	characteristic
39	C₂×#13063302	C₂²	1	1	yes	characteristic
40	C₂×#13063297	C₂²	1	1	yes	characteristic
41	C₂×#13063297	C₂²	1	1	yes	characteristic
42	C₂×#13063296	C₂²	1	1	yes	characteristic
43	C₂×#13063294	C₂²	1	1	yes	characteristic
44	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
45	C₂×D₄×Dic₄₃	C₂²	1	1	yes	characteristic
46	C₂×D₄×Dic₄₃	C₂²	1	1	yes	characteristic
47	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
48	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
49	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
50	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic, complemented
51	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
52	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
53	C₂²×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
54	C₂²×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
55	C₂²×C₄×Dic₄₃	C₂²	1	1	yes	characteristic
56	C₂²×C₄×Dic₄₃	C₂²	1	1	yes	characteristic
57	C₂²×C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
58	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic, complemented
59	#14582804	C₂²	1	1	yes	characteristic, complemented
60	#14582803	C₂²	1	1	yes	characteristic, complemented
61	#14582803	C₂²	1	1	yes	characteristic, complemented
62	#14582802	C₂²	1	1	yes	characteristic
63	#14582802	C₂²	1	1	yes	characteristic
64	#14582799	C₂²	1	1	yes	characteristic
65	#14582799	C₂²	1	1	yes	characteristic
66	#14582799	C₂²	1	1	yes	characteristic, complemented
67	#14582796	C₂²	1	1	yes	characteristic, complemented
68	#14582795	C₂²	1	1	yes	characteristic, complemented
69	#14582794	C₂²	1	1	yes	characteristic, complemented
70	#14582794	C₂²	1	1	yes	characteristic, complemented
71	#14582793	C₂²	1	1	yes	characteristic
72	#14582793	C₂²	1	1	yes	characteristic
73	#14582793	C₂²	1	1	yes	characteristic
74	#14582793	C₂²	1	1	yes	characteristic
75	#14582793	C₂²	1	1	yes	characteristic
76	#14582793	C₂²	1	1	yes	characteristic
77	#14582793	C₂²	1	1	yes	characteristic, complemented
78	#14582793	C₂²	1	1	yes	characteristic, complemented
79	#14582793	C₂²	1	1	yes	characteristic, complemented
80	#14582792	C₂²	1	1	yes	characteristic
81	#14582792	C₂²	1	1	yes	characteristic
82	#14582792	C₂²	1	1	yes	characteristic
83	#14582792	C₂²	1	1	yes	characteristic
84	#14582791	C₂²	1	1	yes	characteristic, complemented
85	#14582789	C₂²	1	1	yes	characteristic, complemented
86	#14582789	C₂²	1	1	yes	characteristic, complemented
87	#14582788	C₂²	1	1	yes	characteristic, complemented
88	#14582787	C₂²	1	1	yes	characteristic
89	#14582787	C₂²	1	1	yes	characteristic
90	#14582787	C₂²	1	1	yes	characteristic
91	#14582787	C₂²	1	1	yes	characteristic
92	#14582787	C₂²	1	1	yes	characteristic
93	#14582787	C₂²	1	1	yes	characteristic
94	#14582787	C₂²	1	1	yes	characteristic, complemented
95	#14582786	C₂²	1	1	yes	characteristic, complemented
96	#14582786	C₂²	1	1	yes	characteristic, complemented
97	#14582786	C₂²	1	1	yes	characteristic, complemented
98	#14582784	C₂²	1	1	yes	characteristic, complemented
99	#14582784	C₂²	1	1	yes	characteristic, complemented
100	#14582782	C₂²	1	1	yes	characteristic, complemented
101	#14582782	C₂²	1	1	yes	characteristic, complemented
102	#14582781	C₂²	1	1	yes	characteristic, complemented
103	#14582781	C₂²	1	1	yes	characteristic, complemented
104	#14582781	C₂²	1	1	yes	characteristic, complemented
105	#14582780	C₂²	1	1	yes	characteristic, complemented
106	#14582780	C₂²	1	1	yes	characteristic, complemented
107	#14582779	C₂²	1	1	yes	characteristic
108	#14582779	C₂²	1	1	yes	characteristic
109	#14582779	C₂²	1	1	yes	characteristic
110	#14582778	C₂²	1	1	yes	characteristic
111	#14582778	C₂²	1	1	yes	characteristic
112	#14582778	C₂²	1	1	yes	characteristic
113	#14582776	C₂²	1	1	yes	characteristic
114	#14582776	C₂²	1	1	yes	characteristic, complemented
115	#14582775	C₂²	1	1	yes	characteristic
116	#14582775	C₂²	1	1	yes	characteristic
117	#14582775	C₂²	1	1	yes	characteristic, complemented
118	#14582774	C₂²	1	1	yes	characteristic
119	#14582773	C₂²	1	1	yes	characteristic, complemented
120	#14582772	C₂²	1	1	yes	characteristic
121	#14582772	C₂²	1	1	yes	characteristic
122	#14582772	C₂²	1	1	yes	characteristic
123	#14582771	C₂²	1	1	yes	characteristic
124	#14582771	C₂²	1	1	yes	characteristic, complemented
125	#14582766	C₂²	1	1	yes	characteristic, complemented
126	#14582766	C₂²	1	1	yes	characteristic, complemented
127	#14582764	C₂²	1	1	yes	characteristic, complemented
128	#14582763	C₂²	1	1	yes	characteristic, complemented
129	#14582761	C₂²	1	1	yes	characteristic, complemented
130	#14582760	C₂²	1	1	yes	characteristic, complemented
131	#14582757	C₂²	1	1	yes	characteristic
132	#14582757	C₂²	1	1	yes	characteristic
133	#14582757	C₂²	1	1	yes	characteristic, complemented
134	#14582756	C₂²	1	1	yes	characteristic, complemented
135	#14582755	C₂²	1	1	yes	characteristic
136	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
137	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
138	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
139	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
140	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
141	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
142	C₄×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
143	C₄×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
144	#14582750	C₂²	1	1	yes	characteristic, complemented
145	#14582750	C₂²	1	1	yes	characteristic, complemented
146	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
147	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
148	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
149	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
150	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
151	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
152	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
153	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
154	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
155	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
156	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
157	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
158	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
159	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
160	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
161	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
162	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
163	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
164	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
165	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
166	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
167	#14582746	C₂²	1	1	yes	characteristic, complemented
168	#14582746	C₂²	1	1	yes	characteristic, complemented
169	C₂×C₄₃⋊#95	C₂²	1	1	yes	characteristic
170	C₂×C₄₃⋊#95	C₂²	1	1	yes	characteristic
171	C₄²×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
172	C₄²×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
173	C₂⁴×C₄×C₄₃	C₂²	1	1	yes	characteristic
174	C₂×#120×C₄₃	C₂²	1	1	yes	characteristic
175	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
176	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
177	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
178	C₄₃×#386	C₂²	1	1	yes	characteristic
179	C₄₃×#386	C₂²	1	1	yes	characteristic
180	C₄₃×#386	C₂²	1	1	yes	characteristic
181	C₄₃×#385	C₂²	1	1	yes	characteristic
182	C₄₃×#385	C₂²	1	1	yes	characteristic
183	C₄₃×#385	C₂²	1	1	yes	characteristic
184	C₄₃×#379	C₂²	1	1	yes	characteristic
185	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
186	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
187	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
188	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
189	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
190	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
191	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
193	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
194	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
195	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
196	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
197	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
198	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
199	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
202	#13063318	C₂×C₄	1	8	yes	complemented
203	#13063318	C₂×C₄	1	8	yes	complemented
204	#13063312	C₂×C₄	1	8	yes	complemented
205	#13063311	C₂×C₄	1	8	yes	complemented
206	#13063307	C₂×C₄	1	8	yes	complemented
207	#13063306	C₂×C₄	1	8	yes	complemented
208	#13063302	C₂×C₄	1	8	yes	complemented
209	#13063297	C₂×C₄	1	8	yes	complemented
210	#13063297	C₂×C₄	1	8	yes	complemented
211	#13063296	C₂×C₄	1	8	yes	complemented
212	#13063294	C₂×C₄	1	8	yes	complemented
213	C₄×Dic₈₆	—	4	2	no	—
214	D₄×Dic₄₃	—	2	4	no	—
215	D₄×Dic₄₃	C₂×C₄	1	8	yes	complemented
216	C₄×C₂²⋊D₄₃	—	2	4	no	—
217	C₄×C₂²⋊D₄₃	—	4	2	no	—
218	C₄×C₂²⋊D₄₃	—	4	2	no	—
219	C₄×C₂²⋊D₄₃	—	4	2	no	—
220	(C₂²⋊D₄₃)⋊C₄	—	2	4	no	—
221	(C₂²⋊D₄₃)⋊C₄	C₂×C₄	1	8	yes	complemented
222	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
223	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
224	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
225	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
226	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
227	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
228	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
229	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
230	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
231	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
232	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
233	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
234	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₄₃	—	2	4	no	—
242	C₂×C₂²⋊Dic₄₃	C₂×C₄	1	8	yes	complemented
243	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
244	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
245	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
246	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
250	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
251	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
252	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
253	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
254	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
255	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
256	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
257	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
258	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
259	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
260	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
261	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
262	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
263	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
264	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
265	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₄₃	—	4	2	no	—
274	C₂×C₄×Dic₄₃	—	4	2	no	—
275	C₂×C₄×Dic₄₃	—	4	2	no	—
276	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
277	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
278	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
279	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
280	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
281	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
282	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
299	C₄²×D₄₃	—	4	2	no	—
300	C₄₃⋊#95	C₂³	1	1	yes	characteristic
301	C₄₃⋊#95	C₂³	1	1	yes	characteristic
302	C₄₃⋊#95	C₂³	1	1	yes	characteristic
303	C₄₃⋊#95	C₂³	1	1	yes	characteristic
304	C₄₃⋊#95	C₂³	1	1	yes	characteristic
305	C₄₃⋊#95	C₂³	1	1	yes	characteristic
306	C₄₃⋊#95	C₂³	1	1	yes	characteristic
307	C₄₃⋊#95	C₂³	1	1	yes	characteristic
308	C₄₃⋊#95	C₂³	1	1	yes	characteristic
309	C₄₃⋊#95	C₂³	1	1	yes	characteristic
310	C₄₃⋊#95	C₂³	1	1	yes	characteristic
311	C₄₃⋊#95	C₂³	1	1	yes	characteristic
312	C₄₃⋊#95	C₂³	1	1	yes	characteristic
313	C₄₃⋊#95	C₂³	1	1	yes	characteristic
314	C₄₃⋊#95	C₂³	1	1	yes	characteristic
315	C₄₃⋊#95	C₂³	1	1	yes	characteristic
316	C₄₃⋊#95	C₂³	1	1	yes	characteristic
317	C₄₃⋊#95	C₂³	1	1	yes	characteristic
318	C₄₃⋊#95	C₂³	1	1	yes	characteristic
319	C₄₃⋊#95	C₂³	1	1	yes	characteristic
320	C₄₃⋊#95	C₂³	1	1	yes	characteristic
321	C₄₃⋊#95	C₂³	1	1	yes	characteristic
322	C₄₃⋊#95	C₂³	1	1	yes	characteristic
323	C₄₃⋊#95	C₂³	1	1	yes	characteristic
324	C₄₃⋊#95	C₂³	1	1	yes	characteristic
325	C₄₃⋊#95	C₂³	1	1	yes	characteristic
326	C₄₃⋊#95	C₂³	1	1	yes	characteristic
327	C₄₃⋊#95	C₂³	1	1	yes	characteristic
328	C₄₃⋊#95	C₂³	1	1	yes	characteristic
329	C₄₃⋊#95	C₂³	1	1	yes	characteristic
330	C₄₃⋊#95	C₂³	1	1	yes	characteristic
331	C₄₃⋊#95	C₂³	1	1	yes	characteristic
332	C₄₃⋊#95	C₂³	1	1	yes	characteristic
333	C₄₃⋊#95	C₂³	1	1	yes	characteristic
334	C₂⁵×C₄₃	C₂³	1	1	yes	characteristic
335	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
336	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
337	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
338	C₂³×C₄×C₄₃	—	2	4	no	—
339	C₂³×C₄×C₄₃	—	4	2	no	—
340	C₂³×C₄×C₄₃	—	4	2	no	—
341	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
342	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
343	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
344	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
345	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
346	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
347	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
348	#120×C₄₃	C₂×C₄	1	8	yes	complemented
349	C₄×D₄×C₄₃	—	2	4	no	—
350	C₄×D₄×C₄₃	—	4	2	no	—
351	C₄×D₄×C₄₃	—	4	2	no	—
352	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
353	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
354	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
355	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
356	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
357	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
358	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
359	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
360	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
361	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
362	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
363	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
364	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
365	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
366	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
367	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
368	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
369	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
370	#95×C₄₃	C₂³	1	1	yes	characteristic
371	#95×C₄₃	C₂³	1	1	yes	characteristic
372	#95×C₄₃	C₂³	1	1	yes	characteristic
373	#95×C₄₃	C₂³	1	1	yes	characteristic
374	#95×C₄₃	C₂³	1	1	yes	characteristic
375	#95×C₄₃	C₂³	1	1	yes	characteristic
376	C₂⁴×C₄₃	—	2	2	no	—
377	C₂⁴×C₄₃	—	2	2	no	—
378	C₂⁴×C₄₃	—	4	1	no	—
379	C₂⁴×C₄₃	—	4	1	no	—
380	C₂⁴×C₄₃	—	4	1	no	—
381	C₂⁴×C₄₃	—	4	1	no	—
382	C₂⁴×C₄₃	C₂²×C₄	1	4	yes	—
383	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
384	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
385	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
386	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
387	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
388	C₂×D₄×C₄₃	—	2	2	no	—
389	C₂×D₄×C₄₃	—	2	2	no	—
390	C₂×D₄×C₄₃	—	4	1	no	—
391	C₂×D₄×C₄₃	—	4	1	no	—
392	C₂×D₄×C₄₃	—	4	1	no	—
393	C₂×D₄×C₄₃	—	4	1	no	—
394	C₂×D₄×C₄₃	C₂²×C₄	1	4	yes	—
395	C₂×D₄×C₄₃	C₂²×C₄	1	4	yes	—
396	C₂×D₄×C₄₃	C₂²×C₄	1	4	yes	—
397	C₂²×C₄×C₄₃	—	2	2	no	—
398	C₂²×C₄×C₄₃	—	2	2	no	—
399	C₂²×C₄×C₄₃	—	2	2	no	—
400	C₂²×C₄×C₄₃	—	2	2	no	—
401	C₂²×C₄×C₄₃	—	2	2	no	—
402	C₂²×C₄×C₄₃	—	2	2	no	—
403	C₂²×C₄×C₄₃	—	2	2	no	—
404	C₂²×C₄×C₄₃	—	2	2	no	—
405	C₂²×C₄×C₄₃	—	2	2	no	—
406	C₂²×C₄×C₄₃	—	2	2	no	—
407	C₂²×C₄×C₄₃	—	2	2	no	—
408	C₂²×C₄×C₄₃	—	2	2	no	—
409	C₂²×C₄×C₄₃	—	2	2	no	—
410	C₂²×C₄×C₄₃	—	2	2	no	—
411	C₂²×C₄×C₄₃	—	4	1	no	—
412	C₂²×C₄×C₄₃	—	4	1	no	—
413	C₂²×C₄×C₄₃	—	4	1	no	—
414	C₂²×C₄×C₄₃	—	4	1	no	—
415	C₂²×C₄×C₄₃	—	4	1	no	—
416	C₂²×C₄×C₄₃	—	4	1	no	—
417	C₂²×C₄×C₄₃	—	4	16	no	—
418	C₂²×C₄×C₄₃	#41	1	4	yes	—
419	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
420	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
421	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
422	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
423	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
424	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
426	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
430	C₂×C₂²⋊D₄₃	—	2	2	no	—
431	C₂×C₂²⋊D₄₃	—	2	2	no	—
432	C₂×C₂²⋊D₄₃	—	4	1	no	—
433	C₂×C₂²⋊D₄₃	—	4	1	no	—
434	C₂×C₂²⋊D₄₃	—	4	1	no	—
435	C₂×C₂²⋊D₄₃	—	4	1	no	—
436	C₂×C₂²⋊D₄₃	—	4	1	no	—
437	C₂×C₂²⋊D₄₃	—	4	1	no	—
438	C₂×C₂²⋊D₄₃	C₂²×C₄	1	4	yes	—
439	C₂×C₂²⋊D₄₃	C₂²×C₄	1	4	yes	—
440	C₂×C₂²⋊D₄₃	C₂²×C₄	1	4	yes	—
441	C₂×C₂²⋊D₄₃	C₂²×C₄	1	4	yes	complemented
442	C₂²×Dic₄₃	—	2	2	no	—
443	C₂²×Dic₄₃	—	2	2	no	—
444	C₂²×Dic₄₃	—	4	1	no	—
445	C₂²×Dic₄₃	—	4	1	no	—
446	C₂²×Dic₄₃	—	4	1	no	—
447	C₂²×Dic₄₃	—	4	1	no	—
448	C₂²×Dic₄₃	—	4	1	no	—
449	C₂²×Dic₄₃	—	4	1	no	—
450	C₂²×Dic₄₃	—	4	1	no	—
451	C₂²×Dic₄₃	—	4	1	no	—
452	C₂²×Dic₄₃	—	4	1	no	—
453	C₂²×Dic₄₃	—	4	1	no	—
454	C₂²×Dic₄₃	—	4	1	no	—
455	C₂²×Dic₄₃	—	4	1	no	—
456	C₂²×Dic₄₃	C₂²×C₄	1	4	yes	—
457	C₂²×Dic₄₃	C₂²×C₄	1	4	yes	—
458	C₂²×Dic₄₃	C₂²×C₄	1	4	yes	complemented
459	C₂²×Dic₄₃	#41	1	4	yes	—
460	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
461	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
462	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
463	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
464	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
465	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
466	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
467	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
468	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
469	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
470	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
471	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
472	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
473	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
474	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
475	C₂×C₄×D₄₃	—	2	2	no	—
476	C₂×C₄×D₄₃	—	2	2	no	—
477	C₂×C₄×D₄₃	—	2	2	no	—
478	C₂×C₄×D₄₃	—	2	2	no	—
479	C₂×C₄×D₄₃	—	4	1	no	—
480	C₂×C₄×D₄₃	—	4	1	no	—
481	C₂×C₄×D₄₃	—	4	1	no	—
482	C₂×C₄×D₄₃	—	4	1	no	—
483	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	complemented
484	C₂×Dic₈₆	—	4	1	no	—
485	C₂×Dic₈₆	—	4	1	no	—
486	C₂×Dic₈₆	C₂²×C₄	1	4	yes	complemented
487	C₄⋊C₄×C₄₃	—	2	2	no	—
488	C₄⋊C₄×C₄₃	—	4	1	no	—
489	C₄⋊C₄×C₄₃	—	4	1	no	—
490	C₂²⋊C₄×C₄₃	—	2	2	no	—
491	C₂²⋊C₄×C₄₃	—	2	2	no	—
492	C₂²⋊C₄×C₄₃	—	2	2	no	—
493	C₂²⋊C₄×C₄₃	—	4	1	no	—
494	C₂²⋊C₄×C₄₃	—	4	1	no	—
495	C₂²⋊C₄×C₄₃	—	4	1	no	—
496	C₂²⋊C₄×C₄₃	—	4	1	no	—
497	C₂²⋊C₄×C₄₃	—	4	1	no	—
498	C₂²⋊C₄×C₄₃	—	4	1	no	—
499	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
500	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
501	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
502	C₄²×C₄₃	—	2	2	no	—
503	C₄²×C₄₃	—	2	2	no	—
504	C₄²×C₄₃	—	2	2	no	—
505	C₂²⋊Dic₄₃	—	2	2	no	—
506	C₂²⋊Dic₄₃	—	2	2	no	—
507	C₂²⋊Dic₄₃	—	2	2	no	—
508	C₂²⋊Dic₄₃	—	2	2	no	—
509	C₂²⋊Dic₄₃	—	2	2	no	—
510	C₂²⋊Dic₄₃	—	2	2	no	—
511	C₂²⋊Dic₄₃	—	2	2	no	—
512	C₂²⋊Dic₄₃	—	4	1	no	—
513	C₂²⋊Dic₄₃	—	4	1	no	—
514	C₂²⋊Dic₄₃	—	4	1	no	—
515	C₂²⋊Dic₄₃	—	4	1	no	—
516	C₂²⋊Dic₄₃	—	4	1	no	—
517	C₂²⋊Dic₄₃	—	4	1	no	—
518	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	—
519	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	—
520	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	—
521	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	—
522	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	—
523	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	—
524	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	—
525	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	complemented
526	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	complemented
527	(C₂×D₄₃)⋊C₄	—	2	2	no	—
528	(C₂×D₄₃)⋊C₄	—	2	2	no	—
529	(C₂×D₄₃)⋊C₄	—	4	1	no	—
530	(C₂×D₄₃)⋊C₄	—	4	1	no	—
531	(C₂×D₄₃)⋊C₄	—	4	1	no	—
532	(C₂×D₄₃)⋊C₄	—	4	1	no	—
533	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	complemented
534	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	complemented
535	C₄⋊Dic₄₃	—	2	2	no	—
536	C₄⋊Dic₄₃	—	4	1	no	—
537	C₄⋊Dic₄₃	—	4	1	no	—
538	C₄⋊Dic₄₃	C₂²×C₄	1	4	yes	complemented
539	C₄⋊Dic₄₃	C₂²×C₄	1	4	yes	complemented
540	Dic₄₃⋊C₄	—	2	2	no	—
541	Dic₄₃⋊C₄	—	2	2	no	—
542	Dic₄₃⋊C₄	—	4	1	no	—
543	Dic₄₃⋊C₄	—	4	1	no	—
544	Dic₄₃⋊C₄	—	4	1	no	—
545	Dic₄₃⋊C₄	—	4	1	no	—
546	Dic₄₃⋊C₄	—	4	1	no	—
547	Dic₄₃⋊C₄	—	4	1	no	—
548	Dic₄₃⋊C₄	—	4	1	no	—
549	Dic₄₃⋊C₄	—	4	1	no	—
550	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	complemented
551	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	complemented
552	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	complemented
553	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	complemented
554	C₄×Dic₄₃	—	2	2	no	—
555	C₄×Dic₄₃	—	2	2	no	—
556	C₄×Dic₄₃	—	2	2	no	—
557	C₄×Dic₄₃	—	2	2	no	—
558	C₄×Dic₄₃	—	2	2	no	—
559	C₄×Dic₄₃	—	2	2	no	—
560	C₄×Dic₄₃	—	2	2	no	—
561	C₄×Dic₄₃	—	2	2	no	—
562	C₄×Dic₄₃	—	2	2	no	—
563	C₄×Dic₄₃	—	4	1	no	—
564	C₄×Dic₄₃	—	4	1	no	—
565	C₄×Dic₄₃	—	4	1	no	—
566	C₄×Dic₄₃	—	4	1	no	—
567	C₄×Dic₄₃	—	4	1	no	—
568	C₄×Dic₄₃	—	4	1	no	—
569	C₄×Dic₄₃	—	4	1	no	—
570	C₄×Dic₄₃	—	4	1	no	—
571	C₄×Dic₄₃	—	4	1	no	—
572	C₄×Dic₄₃	—	4	1	no	—
573	C₄×Dic₄₃	—	4	1	no	—
574	C₄×Dic₄₃	—	4	1	no	—
575	C₄×Dic₄₃	C₂²×C₄	1	4	yes	complemented
576	C₄×Dic₄₃	C₂²×C₄	1	4	yes	complemented
577	C₂³×C₄₃	—	2	1	no	—
578	C₂³×C₄₃	—	2	1	no	—
579	C₂³×C₄₃	—	2	1	no	—
580	C₂³×C₄₃	—	2	1	no	—
581	C₂³×C₄₃	—	2	8	no	—
582	C₂³×C₄₃	—	2	1	no	—
583	C₂³×C₄₃	—	2	1	no	—
584	C₂³×C₄₃	—	2	1	no	—
585	C₂³×C₄₃	—	2	1	no	—
586	C₂³×C₄₃	—	2	1	no	—
587	C₂³×C₄₃	—	2	1	no	—
588	C₂³×C₄₃	—	2	1	no	—
589	C₂³×C₄₃	—	2	1	no	—
590	C₂³×C₄₃	—	2	1	no	—
591	C₂³×C₄₃	—	2	1	no	—
592	C₂³×C₄₃	—	2	1	no	—
593	C₂³×C₄₃	—	2	1	no	—
594	C₂³×C₄₃	—	2	1	no	—
595	C₂³×C₄₃	—	2	1	no	—
596	C₂³×C₄₃	—	2	1	no	—
597	C₂³×C₄₃	—	2	1	no	—
598	C₂³×C₄₃	—	2	1	no	—
599	C₂³×C₄₃	—	2	1	no	—
600	C₂³×C₄₃	—	4	4	no	—
601	C₂³×C₄₃	—	4	4	no	—
602	C₂³×C₄₃	—	4	4	no	—
603	C₂³×C₄₃	—	4	4	no	—
604	C₂³×C₄₃	—	4	4	no	—
605	C₂³×C₄₃	—	4	4	no	—
606	C₂³×C₄₃	C₂³×C₄	1	2	yes	—
607	C₂³×C₄₃	C₂³×C₄	1	2	yes	—
608	C₂³×C₄₃	C₂³×C₄	1	2	yes	—
609	C₂³×C₄₃	C₂³×C₄	1	2	yes	—
610	C₂³×C₄₃	C₂×#41	1	2	yes	—
611	C₂³×C₄₃	C₂×#41	1	2	yes	—
612	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
613	C₂²×D₄₃	—	2	1	no	—
614	C₂²×D₄₃	—	2	1	no	—
615	C₂²×D₄₃	—	2	1	no	—
616	C₂²×D₄₃	—	2	1	no	—
617	C₂²×D₄₃	—	2	1	no	—
618	C₂²×D₄₃	—	2	1	no	—
619	C₂²×D₄₃	C₂³×C₄	1	2	yes	—
620	D₄×C₄₃	—	2	8	no	—
621	D₄×C₄₃	—	4	4	no	—
622	D₄×C₄₃	—	4	4	no	—
623	C₂×C₄×C₄₃	—	2	1	no	—
624	C₂×C₄×C₄₃	—	2	1	no	—
625	C₂×C₄×C₄₃	—	2	1	no	—
626	C₂×C₄×C₄₃	—	2	1	no	—
627	C₂×C₄×C₄₃	—	2	1	no	—
628	C₂×C₄×C₄₃	—	2	1	no	—
629	C₂×C₄×C₄₃	—	2	1	no	—
630	C₂×C₄×C₄₃	—	2	1	no	—
631	C₂×C₄×C₄₃	—	2	8	no	—
632	C₂×C₄×C₄₃	—	2	1	no	—
633	C₂×C₄×C₄₃	—	2	1	no	—
634	C₂×C₄×C₄₃	—	2	1	no	—
635	C₂×C₄×C₄₃	—	2	1	no	—
636	C₂×C₄×C₄₃	—	2	1	no	—
637	C₂×C₄×C₄₃	—	2	1	no	—
638	C₂×C₄×C₄₃	—	2	1	no	—
639	C₂×C₄×C₄₃	—	2	1	no	—
640	C₂×C₄×C₄₃	—	2	1	no	—
641	C₂×C₄×C₄₃	—	2	1	no	—
642	C₂×C₄×C₄₃	—	2	1	no	—
643	C₂×C₄×C₄₃	—	2	1	no	—
644	C₂×C₄×C₄₃	—	2	1	no	—
645	C₂×C₄×C₄₃	—	2	1	no	—
646	C₂×C₄×C₄₃	—	2	1	no	—
647	C₂×C₄×C₄₃	—	2	1	no	—
648	C₂×C₄×C₄₃	—	2	1	no	—
649	C₂×C₄×C₄₃	—	2	1	no	—
650	C₂×C₄×C₄₃	—	4	4	no	—
651	C₂×C₄×C₄₃	—	4	4	no	—
652	C₂×C₄×C₄₃	—	4	4	no	—
653	C₂×C₄×C₄₃	—	4	4	no	—
654	C₂×C₄×C₄₃	—	4	4	no	—
655	C₂×C₄×C₄₃	—	4	4	no	—
656	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
657	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
658	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
659	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
660	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
661	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
662	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
663	C₂²⋊D₄₃	—	2	8	no	—
664	C₂²⋊D₄₃	—	4	4	no	—
665	C₂²⋊D₄₃	—	4	4	no	—
666	C₂²⋊D₄₃	—	4	4	no	—
667	C₂×Dic₄₃	—	2	1	no	—
668	C₂×Dic₄₃	—	2	1	no	—
669	C₂×Dic₄₃	—	2	1	no	—
670	C₂×Dic₄₃	—	2	1	no	—
671	C₂×Dic₄₃	—	2	1	no	—
672	C₂×Dic₄₃	—	2	1	no	—
673	C₂×Dic₄₃	—	2	1	no	—
674	C₂×Dic₄₃	—	2	1	no	—
675	C₂×Dic₄₃	—	2	1	no	—
676	C₂×Dic₄₃	—	2	1	no	—
677	C₂×Dic₄₃	—	2	1	no	—
678	C₂×Dic₄₃	—	2	1	no	—
679	C₂×Dic₄₃	—	2	1	no	—
680	C₂×Dic₄₃	—	2	1	no	—
681	C₂×Dic₄₃	—	2	1	no	—
682	C₂×Dic₄₃	—	2	1	no	—
683	C₂×Dic₄₃	—	2	1	no	—
684	C₂×Dic₄₃	—	2	1	no	—
685	C₂×Dic₄₃	—	2	1	no	—
686	C₂×Dic₄₃	—	2	1	no	—
687	C₂×Dic₄₃	—	2	1	no	—
688	C₂×Dic₄₃	—	2	1	no	—
689	C₂×Dic₄₃	—	2	1	no	—
690	C₂×Dic₄₃	—	2	1	no	—
691	C₂×Dic₄₃	—	2	1	no	—
692	C₂×Dic₄₃	—	2	1	no	—
693	C₂×Dic₄₃	—	2	1	no	—
694	C₂×Dic₄₃	—	2	1	no	—
695	C₂×Dic₄₃	—	2	1	no	—
696	C₂×Dic₄₃	—	2	1	no	—
697	C₂×Dic₄₃	—	2	1	no	—
698	C₂×Dic₄₃	—	2	1	no	—
699	C₂×Dic₄₃	—	2	1	no	—
700	C₂×Dic₄₃	—	2	1	no	—
701	C₂×Dic₄₃	—	2	1	no	—
702	C₂×Dic₄₃	—	2	1	no	—
703	C₂×Dic₄₃	—	4	4	no	—
704	C₂×Dic₄₃	—	4	4	no	—
705	C₂×Dic₄₃	—	4	4	no	—
706	C₂×Dic₄₃	—	4	4	no	—
707	C₂×Dic₄₃	—	4	4	no	—
708	C₂×Dic₄₃	—	4	4	no	—
709	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
710	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
711	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
712	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
713	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
714	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
715	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
716	C₂×Dic₄₃	C₂×#41	1	2	yes	—
717	C₂×Dic₄₃	C₂×#41	1	2	yes	—
718	C₄×D₄₃	—	4	4	no	—
719	C₄×D₄₃	—	4	4	no	—
720	C₄×D₄₃	—	4	4	no	—
721	Dic₈₆	—	4	4	no	—
722	C₄×#538	—	43	1	no	maximal, Sylow
723	C₂²×C₄₃	—	2	2	no	—
724	C₂²×C₄₃	—	2	2	no	—
725	C₂²×C₄₃	—	2	2	no	—
726	C₂²×C₄₃	—	2	2	no	—
727	C₂²×C₄₃	—	2	2	no	—
728	C₂²×C₄₃	—	2	2	no	—
729	C₂²×C₄₃	—	2	2	no	—
730	C₂²×C₄₃	—	2	2	no	—
731	C₂²×C₄₃	—	2	2	no	—
732	C₂²×C₄₃	—	2	2	no	—
733	C₂²×C₄₃	—	2	2	no	—
734	C₂²×C₄₃	—	2	2	no	—
735	C₂²×C₄₃	—	2	2	no	—
736	C₂²×C₄₃	—	2	2	no	—
737	C₂²×C₄₃	—	2	2	no	—
738	C₂²×C₄₃	—	4	16	no	—
739	C₂²×C₄₃	—	4	1	no	—
740	C₂²×C₄₃	—	4	1	no	—
741	C₂²×C₄₃	—	4	1	no	—
742	C₂²×C₄₃	—	4	1	no	—
743	C₂²×C₄₃	—	4	1	no	—
744	C₂²×C₄₃	—	4	1	no	—
745	C₂²×C₄₃	—	4	1	no	—
746	C₂²×C₄₃	—	4	1	no	—
747	C₂²×C₄₃	—	4	1	no	—
748	C₂²×C₄₃	—	4	1	no	—
749	C₂²×C₄₃	—	4	1	no	—
750	C₂²×C₄₃	—	4	1	no	—
751	C₂²×C₄₃	C₄×#41	1	4	yes	—
752	C₂²×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
753	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
754	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
755	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
756	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
757	C₂²×C₄₃	#585	1	1	yes	characteristic
758	C₂²×C₄₃	#585	1	1	yes	characteristic
759	C₂×D₄₃	—	2	2	no	—
760	C₂×D₄₃	—	2	2	no	—
761	C₂×D₄₃	—	2	2	no	—
762	C₂×D₄₃	—	4	1	no	—
763	C₂×D₄₃	—	4	1	no	—
764	C₂×D₄₃	—	4	1	no	—
765	C₂×D₄₃	—	4	1	no	—
766	C₄×C₄₃	—	2	2	no	—
767	C₄×C₄₃	—	2	2	no	—
768	C₄×C₄₃	—	2	2	no	—
769	C₄×C₄₃	—	2	2	no	—
770	C₄×C₄₃	—	4	1	no	—
771	C₄×C₄₃	—	4	1	no	—
772	C₄×C₄₃	—	4	1	no	—
773	C₄×C₄₃	—	4	1	no	—
774	C₄×C₄₃	—	4	1	no	—
775	C₄×C₄₃	—	4	1	no	—
776	C₄×C₄₃	#538	1	4	yes	complemented
777	Dic₄₃	—	2	2	no	—
778	Dic₄₃	—	2	2	no	—
779	Dic₄₃	—	2	2	no	—
780	Dic₄₃	—	2	2	no	—
781	Dic₄₃	—	2	2	no	—
782	Dic₄₃	—	2	2	no	—
783	Dic₄₃	—	2	2	no	—
784	Dic₄₃	—	2	2	no	—
785	Dic₄₃	—	2	2	no	—
786	Dic₄₃	—	4	1	no	—
787	Dic₄₃	—	4	1	no	—
788	Dic₄₃	—	4	1	no	—
789	Dic₄₃	—	4	1	no	—
790	Dic₄₃	—	4	1	no	—
791	Dic₄₃	—	4	1	no	—
792	C₂×#538	—	43	1	no	—
793	#2337	—	43	1	no	—
794	#2337	—	43	1	no	—
795	#2335	—	43	1	no	—
796	#2335	—	43	1	no	—
797	#2334	—	43	1	no	—
798	#2334	—	43	1	no	—
799	#2333	—	43	1	no	—
800	#2333	—	43	1	no	—
801	#2329	—	43	1	no	—
802	#2325	—	43	1	no	—
803	#2321	—	43	1	no	—
804	#2321	—	43	1	no	—
805	#2318	—	43	1	no	—
806	#2318	—	43	1	no	—
807	#2312	—	43	1	no	—
808	C₄×#126	—	43	1	no	—
809	C₄×#126	—	43	1	no	—
810	C₄×#124	—	43	1	no	—
811	C₄×#124	—	43	1	no	—
812	C₄×C₂²⋊Q₈	—	43	1	no	—
813	C₄×#123	—	43	1	no	—
814	C₄×#123	—	43	1	no	—
815	C₄×#121	—	43	1	no	—
816	C₄×#121	—	43	1	no	—
817	C₄×#121	—	43	1	no	—
818	C₄×#120	—	43	1	no	—
819	C₄×#120	D₄₃	1	1	yes	characteristic, complemented
820	C₄²×D₄	—	43	1	no	—
821	C₄²×D₄	—	43	1	no	—
822	C₂×C₄×C₂²⋊C₄	—	43	1	no	—
823	C₂×C₄₃	—	2	4	no	—
824	C₂×C₄₃	—	4	2	no	—
825	C₂×C₄₃	—	4	2	no	—
826	C₂×C₄₃	—	4	2	no	—
827	C₂×C₄₃	C₂×C₄×#41	1	1	yes	characteristic
828	C₂×C₄₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
829	C₂×C₄₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
830	C₂×C₄₃	C₂×#538	1	1	yes	characteristic
831	C₂×C₄₃	#3455	1	1	yes	characteristic
832	C₂×C₄₃	#3459	1	1	yes	characteristic
833	C₂×C₄₃	#3460	1	1	yes	characteristic
834	D₄₃	—	4	2	no	—
835	C₂⁴×C₄	C₂×D₄₃	1	1	yes	characteristic
836	#538	—	43	16	no	—
837	C₂×#126	—	43	1	no	—
838	C₂×#126	—	43	1	no	—
839	C₂×#124	—	43	1	no	—
840	C₂×#124	—	43	1	no	—
841	C₂×#123	—	43	1	no	—
842	C₂×#123	—	43	1	no	—
843	C₂×C₂²⋊Q₈	—	43	1	no	—
844	C₂×#121	—	43	1	no	—
845	C₂×#121	—	43	1	no	—
846	C₂×#121	—	43	1	no	—
847	C₂×#120	—	43	1	no	—
848	C₂×#120	C₂×D₄₃	1	1	yes	characteristic
849	C₂×C₄×Q₈	—	43	1	no	—
850	C₂×C₄×D₄	—	43	1	no	—
851	C₂×C₄×D₄	—	43	1	no	—
852	C₂×C₄×D₄	—	43	1	no	—
853	C₂×C₄×D₄	—	43	1	no	—
854	C₂×C₄×D₄	—	43	1	no	—
855	C₂×C₄×D₄	—	43	1	no	—
856	C₂×C₄×D₄	—	43	1	no	—
857	C₂×C₄×D₄	—	43	1	no	—
858	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
859	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
860	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
861	C₂²×C₂²⋊C₄	—	43	1	no	—
862	C₂²×C₂²⋊C₄	—	43	1	no	—
863	C₂²×C₄²	—	43	1	no	—
864	C₂²×C₄²	—	43	1	no	—
865	C₂²×C₄²	—	43	1	no	—
866	C₂²×C₄²	—	43	1	no	—
867	#391	—	43	1	no	—
868	#391	—	43	1	no	—
869	#391	—	43	1	no	—
870	#390	—	43	1	no	—
871	#390	—	43	1	no	—
872	#390	—	43	1	no	—
873	#390	—	43	1	no	—
874	#390	—	43	1	no	—
875	#389	—	43	1	no	—
876	#389	—	43	1	no	—
877	#389	—	43	1	no	—
878	#389	—	43	1	no	—
879	#388	—	43	1	no	—
880	#388	—	43	1	no	—
881	#388	—	43	1	no	—
882	#388	—	43	1	no	—
883	#388	—	43	1	no	—
884	#388	—	43	1	no	—
885	#388	—	43	1	no	—
886	#388	—	43	1	no	—
887	#388	—	43	1	no	—
888	#388	—	43	1	no	—
889	#388	—	43	1	no	—
890	#388	—	43	1	no	—
891	#388	—	43	1	no	—
892	#388	—	43	1	no	—
893	#388	—	43	1	no	—
894	#388	—	43	1	no	—
895	#388	—	43	1	no	—
896	#388	—	43	1	no	—
897	#388	—	43	1	no	—
898	#388	—	43	1	no	—
899	#388	—	43	1	no	—
900	#388	—	43	1	no	—
901	#388	—	43	1	no	—
902	#388	—	43	1	no	—
903	#387	—	43	1	no	—
904	#387	—	43	1	no	—
905	#387	—	43	1	no	—
906	#387	—	43	1	no	—
907	#387	—	43	1	no	—
908	#387	—	43	1	no	—
909	#387	—	43	1	no	—
910	#387	—	43	1	no	—
911	#387	—	43	1	no	—
912	#387	—	43	1	no	—
913	#387	—	43	1	no	—
914	#387	—	43	1	no	—
915	#386	—	43	1	no	—
916	#386	—	43	1	no	—
917	#386	—	43	1	no	—
918	#386	—	43	1	no	—
919	#386	—	43	1	no	—
920	#386	—	43	1	no	—
921	#386	—	43	1	no	—
922	#386	—	43	1	no	—
923	#386	—	43	1	no	—
924	#386	—	43	1	no	—
925	#386	—	43	1	no	—
926	#386	C₂×D₄₃	1	1	yes	characteristic
927	#386	C₂×D₄₃	1	1	yes	characteristic
928	#386	C₂×D₄₃	1	1	yes	characteristic
929	#385	—	43	1	no	—
930	#385	—	43	1	no	—
931	#385	—	43	1	no	—
932	#385	—	43	1	no	—
933	#385	—	43	1	no	—
934	#385	—	43	1	no	—
935	#385	—	43	1	no	—
936	#385	C₂×D₄₃	1	1	yes	characteristic
937	#385	C₂×D₄₃	1	1	yes	characteristic
938	#385	C₂×D₄₃	1	1	yes	characteristic
939	#383	—	43	1	no	—
940	#383	—	43	1	no	—
941	#382	—	43	1	no	—
942	#382	—	43	1	no	—
943	#381	—	43	1	no	—
944	#381	—	43	1	no	—
945	#380	—	43	1	no	—
946	#380	—	43	1	no	—
947	#380	—	43	1	no	—
948	#380	—	43	1	no	—
949	#379	—	43	1	no	—
950	#379	C₂×D₄₃	1	1	yes	characteristic
951	C₄×C₄⋊C₄	—	43	1	no	—
952	C₄×C₄⋊C₄	—	43	1	no	—
953	C₄×C₄⋊C₄	—	43	1	no	—
954	C₄×C₄⋊C₄	—	43	1	no	—
955	C₄×C₄⋊C₄	—	43	1	no	—
956	C₄×C₄⋊C₄	—	43	1	no	—
957	C₄×C₄⋊C₄	—	43	1	no	—
958	C₄×C₄⋊C₄	—	43	1	no	—
959	C₄×C₄⋊C₄	—	43	1	no	—
960	C₄×C₄⋊C₄	—	43	1	no	—
961	C₄×C₂²⋊C₄	—	43	1	no	—
962	C₄×C₂²⋊C₄	—	43	1	no	—
963	C₄×C₂²⋊C₄	—	43	1	no	—
964	C₄×C₂²⋊C₄	—	43	1	no	—
965	C₄×C₂²⋊C₄	—	43	1	no	—
966	C₄×C₂²⋊C₄	—	43	1	no	—
967	C₄×C₂²⋊C₄	—	43	1	no	—
968	C₄×C₂²⋊C₄	—	43	1	no	—
969	C₄×C₂²⋊C₄	—	43	1	no	—
970	C₄×C₂²⋊C₄	—	43	1	no	—
971	C₄×C₂²⋊C₄	—	43	1	no	—
972	C₄×C₂²⋊C₄	—	43	1	no	—
973	C₄×C₂²⋊C₄	—	43	1	no	—
974	C₄×C₂²⋊C₄	—	43	1	no	—
975	C₄×C₂²⋊C₄	—	43	1	no	—
976	C₄×C₂²⋊C₄	—	43	1	no	—
977	C₄×C₂²⋊C₄	—	43	1	no	—
978	C₄×C₂²⋊C₄	—	43	1	no	—
979	C₄×C₂²⋊C₄	—	43	1	no	—
980	C₄×C₂²⋊C₄	—	43	1	no	—
981	C₄×C₂²⋊C₄	—	43	1	no	—
982	C₄×C₂²⋊C₄	—	43	1	no	—
983	C₄×C₂²⋊C₄	—	43	1	no	—
984	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
985	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
986	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
987	C₂×#95	—	43	1	no	—
988	C₂×#95	—	43	1	no	—
989	C₄³	—	43	1	no	—
990	C₄³	—	43	1	no	—
991	C₄₃	C₄×#538	1	1	yes	characteristic, complemented, Sylow
992	C₂⁵	C₂²×D₄₃	1	1	yes	characteristic
993	C₂²×Q₈	—	43	1	no	—
994	C₂²×D₄	—	43	1	no	—
995	C₂²×D₄	—	43	1	no	—
996	C₂²×D₄	—	43	1	no	—
997	C₂²×D₄	—	43	1	no	—
998	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
999	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
1000	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
1001	C₂³×C₄	—	2	4	no	—
1002	C₂³×C₄	—	4	2	no	—
1003	C₂³×C₄	—	4	2	no	—
1004	C₂³×C₄	—	43	1	no	—
1005	C₂³×C₄	—	43	1	no	—
1006	C₂³×C₄	—	43	1	no	—
1007	C₂³×C₄	—	43	1	no	—
1008	C₂³×C₄	—	43	1	no	—
1009	C₂³×C₄	—	43	1	no	—
1010	C₂³×C₄	—	43	1	no	—
1011	C₂³×C₄	—	43	1	no	—
1012	C₂³×C₄	—	43	1	no	—
1013	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1014	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1015	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1016	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1017	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1018	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1019	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1020	#126	—	43	8	no	—
1021	#126	—	43	8	no	—
1022	#124	—	43	8	no	—
1023	#124	—	43	8	no	—
1024	#123	—	43	8	no	—
1025	#123	—	43	8	no	—
1026	C₂²⋊Q₈	—	43	8	no	—
1027	#121	—	43	8	no	—
1028	#121	—	43	8	no	—
1029	#121	—	43	8	no	—
1030	#120	—	43	8	no	—
1031	#120	C₄×D₄₃	1	8	yes	complemented
1032	C₄×Q₈	—	172	2	no	—
1033	C₄×D₄	—	2	4	no	—
1034	C₄×D₄	—	4	2	no	—
1035	C₄×D₄	—	4	2	no	—
1036	C₄×D₄	—	43	8	no	—
1037	C₄×D₄	—	43	8	no	—
1038	C₄×D₄	—	86	4	no	—
1039	C₄×D₄	—	86	4	no	—
1040	C₄×D₄	—	86	4	no	—
1041	C₄×D₄	—	172	2	no	—
1042	C₄×D₄	—	172	2	no	—
1043	C₄×D₄	—	172	2	no	—
1044	C₂×C₄⋊C₄	—	43	1	no	—
1045	C₂×C₄⋊C₄	—	43	1	no	—
1046	C₂×C₄⋊C₄	—	43	1	no	—
1047	C₂×C₄⋊C₄	—	43	1	no	—
1048	C₂×C₄⋊C₄	—	43	1	no	—
1049	C₂×C₄⋊C₄	—	43	1	no	—
1050	C₂×C₄⋊C₄	—	43	1	no	—
1051	C₂×C₄⋊C₄	—	43	1	no	—
1052	C₂×C₄⋊C₄	—	43	1	no	—
1053	C₂×C₄⋊C₄	—	43	1	no	—
1054	C₂×C₄⋊C₄	—	43	1	no	—
1055	C₂×C₄⋊C₄	—	43	1	no	—
1056	C₂×C₄⋊C₄	—	43	1	no	—
1057	C₂×C₄⋊C₄	—	43	1	no	—
1058	C₂×C₄⋊C₄	—	43	1	no	—
1059	C₂×C₄⋊C₄	—	43	1	no	—
1060	C₂×C₄⋊C₄	—	43	1	no	—
1061	C₂×C₄⋊C₄	—	43	1	no	—
1062	C₂×C₄⋊C₄	—	43	1	no	—
1063	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1064	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1065	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1066	C₂×C₂²⋊C₄	—	43	8	no	—
1067	C₂×C₂²⋊C₄	—	43	1	no	—
1068	C₂×C₂²⋊C₄	—	43	1	no	—
1069	C₂×C₂²⋊C₄	—	43	1	no	—
1070	C₂×C₂²⋊C₄	—	43	1	no	—
1071	C₂×C₂²⋊C₄	—	43	1	no	—
1072	C₂×C₂²⋊C₄	—	43	1	no	—
1073	C₂×C₂²⋊C₄	—	43	1	no	—
1074	C₂×C₂²⋊C₄	—	43	1	no	—
1075	C₂×C₂²⋊C₄	—	43	1	no	—
1076	C₂×C₂²⋊C₄	—	43	1	no	—
1077	C₂×C₂²⋊C₄	—	43	1	no	—
1078	C₂×C₂²⋊C₄	—	43	1	no	—
1079	C₂×C₂²⋊C₄	—	43	1	no	—
1080	C₂×C₂²⋊C₄	—	43	1	no	—
1081	C₂×C₂²⋊C₄	—	43	1	no	—
1082	C₂×C₂²⋊C₄	—	43	1	no	—
1083	C₂×C₂²⋊C₄	—	43	1	no	—
1084	C₂×C₂²⋊C₄	—	43	1	no	—
1085	C₂×C₂²⋊C₄	—	43	1	no	—
1086	C₂×C₂²⋊C₄	—	43	1	no	—
1087	C₂×C₂²⋊C₄	—	43	1	no	—
1088	C₂×C₂²⋊C₄	—	43	1	no	—
1089	C₂×C₂²⋊C₄	—	43	1	no	—
1090	C₂×C₂²⋊C₄	—	43	1	no	—
1091	C₂×C₂²⋊C₄	—	43	1	no	—
1092	C₂×C₂²⋊C₄	—	43	1	no	—
1093	C₂×C₂²⋊C₄	—	43	1	no	—
1094	C₂×C₂²⋊C₄	—	43	1	no	—
1095	C₂×C₂²⋊C₄	—	43	1	no	—
1096	C₂×C₂²⋊C₄	—	43	1	no	—
1097	C₂×C₂²⋊C₄	—	86	4	no	—
1098	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1099	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1100	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1101	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1102	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1103	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1104	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1105	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1106	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1107	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1108	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1109	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1110	C₂×C₄²	—	43	1	no	—
1111	C₂×C₄²	—	43	1	no	—
1112	C₂×C₄²	—	43	1	no	—
1113	C₂×C₄²	—	43	1	no	—
1114	C₂×C₄²	—	43	1	no	—
1115	C₂×C₄²	—	43	1	no	—
1116	C₂×C₄²	—	43	1	no	—
1117	C₂×C₄²	—	43	1	no	—
1118	C₂×C₄²	—	43	1	no	—
1119	C₂×C₄²	—	43	1	no	—
1120	C₂×C₄²	—	43	1	no	—
1121	C₂×C₄²	—	43	1	no	—
1122	C₂×C₄²	—	43	1	no	—
1123	C₂×C₄²	—	43	1	no	—
1124	C₂×C₄²	—	43	1	no	—
1125	C₂×C₄²	—	43	1	no	—
1126	C₂×C₄²	—	43	1	no	—
1127	C₂×C₄²	—	43	1	no	—
1128	C₂×C₄²	—	43	1	no	—
1129	C₂×C₄²	—	43	1	no	—
1130	C₂×C₄²	—	43	1	no	—
1131	C₂×C₄²	—	43	1	no	—
1132	C₂×C₄²	—	43	1	no	—
1133	C₂×C₄²	—	172	2	no	—
1134	C₂×C₄²	—	172	2	no	—
1135	C₂×C₄²	—	172	2	no	—
1136	C₂×C₄²	—	172	2	no	—
1137	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1138	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1139	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1140	#95	—	43	1	no	—
1141	#95	—	43	1	no	—
1142	#95	—	43	1	no	—
1143	#95	—	43	1	no	—
1144	#95	—	43	1	no	—
1145	#95	—	43	1	no	—
1146	#95	—	43	1	no	—
1147	#95	—	43	1	no	—
1148	#95	—	43	1	no	—
1149	#95	—	43	1	no	—
1150	#95	—	43	1	no	—
1151	#95	—	43	1	no	—
1152	#95	—	43	1	no	—
1153	#95	—	43	1	no	—
1154	#95	—	43	1	no	—
1155	#95	—	43	1	no	—
1156	#95	—	43	1	no	—
1157	#95	—	43	1	no	—
1158	#95	—	43	1	no	—
1159	#95	—	43	1	no	—
1160	#95	—	43	1	no	—
1161	#95	—	43	1	no	—
1162	#95	—	43	1	no	—
1163	#95	—	43	1	no	—
1164	#95	—	43	1	no	—
1165	#95	—	43	1	no	—
1166	#95	—	43	1	no	—
1167	#95	—	43	1	no	—
1168	#95	—	43	1	no	—
1169	#95	—	43	1	no	—
1170	#95	—	43	1	no	—
1171	#95	—	43	1	no	—
1172	#95	—	43	1	no	—
1173	#95	—	43	1	no	—
1174	#95	C₂²×D₄₃	1	1	yes	characteristic
1175	#95	C₂²×D₄₃	1	1	yes	characteristic
1176	#95	C₂²×D₄₃	1	1	yes	characteristic
1177	#95	C₂²×D₄₃	1	1	yes	characteristic
1178	#95	C₂²×D₄₃	1	1	yes	characteristic
1179	#95	C₂²×D₄₃	1	1	yes	characteristic
1180	C₂⁴	—	2	2	no	—
1181	C₂⁴	—	2	2	no	—
1182	C₂⁴	—	4	1	no	—
1183	C₂⁴	—	4	1	no	—
1184	C₂⁴	—	4	1	no	—
1185	C₂⁴	—	4	1	no	—
1186	C₂⁴	—	43	1	no	—
1187	C₂⁴	C₂×C₄×D₄₃	1	4	yes	—
1188	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1189	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1190	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1191	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1192	C₂×Q₈	—	43	4	no	—
1193	C₂×Q₈	—	172	1	no	—
1194	C₂×Q₈	—	172	1	no	—
1195	C₂×D₄	—	2	2	no	—
1196	C₂×D₄	—	2	2	no	—
1197	C₂×D₄	—	4	1	no	—
1198	C₂×D₄	—	4	1	no	—
1199	C₂×D₄	—	4	1	no	—
1200	C₂×D₄	—	4	1	no	—
1201	C₂×D₄	—	43	4	no	—
1202	C₂×D₄	—	43	4	no	—
1203	C₂×D₄	—	43	4	no	—
1204	C₂×D₄	—	43	4	no	—
1205	C₂×D₄	—	86	2	no	—
1206	C₂×D₄	—	86	2	no	—
1207	C₂×D₄	—	172	1	no	—
1208	C₂×D₄	—	172	1	no	—
1209	C₂×D₄	—	172	1	no	—
1210	C₂×D₄	—	172	1	no	—
1211	C₂×D₄	—	172	1	no	—
1212	C₂×D₄	—	172	1	no	—
1213	C₂×D₄	C₂×C₄×D₄₃	1	4	yes	—
1214	C₂×D₄	C₂×C₄×D₄₃	1	4	yes	—
1215	C₂×D₄	C₂×C₄×D₄₃	1	4	yes	—
1216	C₂²×C₄	—	2	2	no	—
1217	C₂²×C₄	—	2	2	no	—
1218	C₂²×C₄	—	2	2	no	—
1219	C₂²×C₄	—	2	2	no	—
1220	C₂²×C₄	—	2	2	no	—
1221	C₂²×C₄	—	2	2	no	—
1222	C₂²×C₄	—	2	2	no	—
1223	C₂²×C₄	—	2	2	no	—
1224	C₂²×C₄	—	2	2	no	—
1225	C₂²×C₄	—	2	2	no	—
1226	C₂²×C₄	—	2	2	no	—
1227	C₂²×C₄	—	2	2	no	—
1228	C₂²×C₄	—	2	2	no	—
1229	C₂²×C₄	—	2	2	no	—
1230	C₂²×C₄	—	4	1	no	—
1231	C₂²×C₄	—	4	1	no	—
1232	C₂²×C₄	—	4	1	no	—
1233	C₂²×C₄	—	4	1	no	—
1234	C₂²×C₄	—	4	1	no	—
1235	C₂²×C₄	—	4	1	no	—
1236	C₂²×C₄	—	4	16	no	—
1237	C₂²×C₄	—	43	1	no	—
1238	C₂²×C₄	—	43	1	no	—
1239	C₂²×C₄	—	43	1	no	—
1240	C₂²×C₄	—	43	1	no	—
1241	C₂²×C₄	—	43	1	no	—
1242	C₂²×C₄	—	43	1	no	—
1243	C₂²×C₄	—	43	1	no	—
1244	C₂²×C₄	—	43	1	no	—
1245	C₂²×C₄	—	43	1	no	—
1246	C₂²×C₄	—	43	4	no	—
1247	C₂²×C₄	—	43	4	no	—
1248	C₂²×C₄	—	43	4	no	—
1249	C₂²×C₄	—	43	4	no	—
1250	C₂²×C₄	—	43	4	no	—
1251	C₂²×C₄	—	43	1	no	—
1252	C₂²×C₄	—	43	1	no	—
1253	C₂²×C₄	—	43	1	no	—
1254	C₂²×C₄	—	43	1	no	—
1255	C₂²×C₄	—	43	1	no	—
1256	C₂²×C₄	—	43	1	no	—
1257	C₂²×C₄	—	86	2	no	—
1258	C₂²×C₄	—	86	2	no	—
1259	C₂²×C₄	—	86	2	no	—
1260	C₂²×C₄	—	86	2	no	—
1261	C₂²×C₄	—	86	2	no	—
1262	C₂²×C₄	—	86	2	no	—
1263	C₂²×C₄	—	172	1	no	—
1264	C₂²×C₄	—	172	1	no	—
1265	C₂²×C₄	—	172	1	no	—
1266	C₂²×C₄	—	172	1	no	—
1267	C₂²×C₄	—	172	1	no	—
1268	C₂²×C₄	—	172	1	no	—
1269	C₂²×C₄	—	172	1	no	—
1270	C₂²×C₄	—	172	1	no	—
1271	C₂²×C₄	—	172	1	no	—
1272	C₂²×C₄	—	172	1	no	—
1273	C₂²×C₄	—	172	1	no	—
1274	C₂²×C₄	—	172	1	no	—
1275	C₂²×C₄	—	172	1	no	—
1276	C₂²×C₄	—	172	1	no	—
1277	C₂²×C₄	—	172	1	no	—
1278	C₂²×C₄	—	172	1	no	—
1279	C₂²×C₄	#10621900	1	4	yes	—
1280	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1281	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1282	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1283	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1284	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1285	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1286	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1287	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1288	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1289	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1290	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1291	C₄⋊C₄	—	2	2	no	—
1292	C₄⋊C₄	—	4	1	no	—
1293	C₄⋊C₄	—	4	1	no	—
1294	C₄⋊C₄	—	43	4	no	—
1295	C₄⋊C₄	—	43	4	no	—
1296	C₄⋊C₄	—	43	4	no	—
1297	C₄⋊C₄	—	43	4	no	—
1298	C₄⋊C₄	—	43	4	no	—
1299	C₄⋊C₄	—	43	4	no	—
1300	C₄⋊C₄	—	86	2	no	—
1301	C₄⋊C₄	—	86	2	no	—
1302	C₄⋊C₄	—	86	2	no	—
1303	C₄⋊C₄	—	172	1	no	—
1304	C₄⋊C₄	—	172	1	no	—
1305	C₄⋊C₄	—	172	1	no	—
1306	C₄⋊C₄	—	172	1	no	—
1307	C₄⋊C₄	—	172	1	no	—
1308	C₄⋊C₄	—	172	1	no	—
1309	C₄⋊C₄	—	172	1	no	—
1310	C₄⋊C₄	—	172	1	no	—
1311	C₄⋊C₄	—	172	1	no	—
1312	C₄⋊C₄	—	172	1	no	—
1313	C₂²⋊C₄	—	2	2	no	—
1314	C₂²⋊C₄	—	2	2	no	—
1315	C₂²⋊C₄	—	2	2	no	—
1316	C₂²⋊C₄	—	4	1	no	—
1317	C₂²⋊C₄	—	4	1	no	—
1318	C₂²⋊C₄	—	4	1	no	—
1319	C₂²⋊C₄	—	4	1	no	—
1320	C₂²⋊C₄	—	4	1	no	—
1321	C₂²⋊C₄	—	4	1	no	—
1322	C₂²⋊C₄	—	43	4	no	—
1323	C₂²⋊C₄	—	43	4	no	—
1324	C₂²⋊C₄	—	43	4	no	—
1325	C₂²⋊C₄	—	43	4	no	—
1326	C₂²⋊C₄	—	43	4	no	—
1327	C₂²⋊C₄	—	43	4	no	—
1328	C₂²⋊C₄	—	43	4	no	—
1329	C₂²⋊C₄	—	43	4	no	—
1330	C₂²⋊C₄	—	43	4	no	—
1331	C₂²⋊C₄	—	43	4	no	—
1332	C₂²⋊C₄	—	43	4	no	—
1333	C₂²⋊C₄	—	86	2	no	—
1334	C₂²⋊C₄	—	86	2	no	—
1335	C₂²⋊C₄	—	86	2	no	—
1336	C₂²⋊C₄	—	86	2	no	—
1337	C₂²⋊C₄	—	86	2	no	—
1338	C₂²⋊C₄	—	86	2	no	—
1339	C₂²⋊C₄	—	86	2	no	—
1340	C₂²⋊C₄	—	86	2	no	—
1341	C₂²⋊C₄	—	86	2	no	—
1342	C₂²⋊C₄	—	172	1	no	—
1343	C₂²⋊C₄	—	172	1	no	—
1344	C₂²⋊C₄	—	172	1	no	—
1345	C₂²⋊C₄	—	172	1	no	—
1346	C₂²⋊C₄	—	172	1	no	—
1347	C₂²⋊C₄	—	172	1	no	—
1348	C₂²⋊C₄	—	172	1	no	—
1349	C₂²⋊C₄	—	172	1	no	—
1350	C₂²⋊C₄	—	172	1	no	—
1351	C₂²⋊C₄	—	172	1	no	—
1352	C₂²⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1353	C₂²⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1354	C₂²⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1355	C₄²	—	2	2	no	—
1356	C₄²	—	2	2	no	—
1357	C₄²	—	2	2	no	—
1358	C₄²	—	43	4	no	—
1359	C₄²	—	43	4	no	—
1360	C₄²	—	86	2	no	—
1361	C₄²	—	86	2	no	—
1362	C₄²	—	86	2	no	—
1363	C₄²	—	86	2	no	—
1364	C₄²	—	86	2	no	—
1365	C₄²	—	86	2	no	—
1366	C₄²	—	86	2	no	—
1367	C₄²	—	86	2	no	—
1368	C₄²	—	86	2	no	—
1369	C₄²	—	172	1	no	—
1370	C₄²	—	172	1	no	—
1371	C₄²	—	172	1	no	—
1372	C₄²	—	172	1	no	—
1373	C₄²	—	172	1	no	—
1374	C₄²	—	172	1	no	—
1375	C₄²	—	172	1	no	—
1376	C₄²	—	172	1	no	—
1377	C₄²	—	172	1	no	—
1378	C₄²	—	172	1	no	—
1379	C₄²	—	172	1	no	—
1380	C₄²	—	172	1	no	—
1381	C₂³	—	2	1	no	—
1382	C₂³	—	2	1	no	—
1383	C₂³	—	2	1	no	—
1384	C₂³	—	2	1	no	—
1385	C₂³	—	2	8	no	—
1386	C₂³	—	2	1	no	—
1387	C₂³	—	2	1	no	—
1388	C₂³	—	2	1	no	—
1389	C₂³	—	2	1	no	—
1390	C₂³	—	2	1	no	—
1391	C₂³	—	2	1	no	—
1392	C₂³	—	2	1	no	—
1393	C₂³	—	2	1	no	—
1394	C₂³	—	2	1	no	—
1395	C₂³	—	2	1	no	—
1396	C₂³	—	2	1	no	—
1397	C₂³	—	2	1	no	—
1398	C₂³	—	2	1	no	—
1399	C₂³	—	2	1	no	—
1400	C₂³	—	2	1	no	—
1401	C₂³	—	2	1	no	—
1402	C₂³	—	2	1	no	—
1403	C₂³	—	2	1	no	—
1404	C₂³	—	4	4	no	—
1405	C₂³	—	4	4	no	—
1406	C₂³	—	4	4	no	—
1407	C₂³	—	4	4	no	—
1408	C₂³	—	4	4	no	—
1409	C₂³	—	4	4	no	—
1410	C₂³	—	43	2	no	—
1411	C₂³	—	86	1	no	—
1412	C₂³	—	86	1	no	—
1413	C₂³	—	86	1	no	—
1414	C₂³	—	86	1	no	—
1415	C₂³	—	86	1	no	—
1416	C₂³	—	86	1	no	—
1417	C₂³	C₂²×C₄×D₄₃	1	2	yes	—
1418	C₂³	C₂²×C₄×D₄₃	1	2	yes	—
1419	C₂³	C₂²×C₄×D₄₃	1	2	yes	—
1420	C₂³	C₂²×C₄×D₄₃	1	2	yes	—
1421	C₂³	#41×D₄₃	1	2	yes	—
1422	C₂³	C₂×#10621900	1	2	yes	—
1423	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1424	Q₈	—	172	4	no	—
1425	D₄	—	2	8	no	—
1426	D₄	—	4	4	no	—
1427	D₄	—	4	4	no	—
1428	D₄	—	86	8	no	—
1429	D₄	—	172	4	no	—
1430	D₄	—	172	4	no	—
1431	D₄	—	172	4	no	—
1432	C₂×C₄	—	2	1	no	—
1433	C₂×C₄	—	2	1	no	—
1434	C₂×C₄	—	2	1	no	—
1435	C₂×C₄	—	2	1	no	—
1436	C₂×C₄	—	2	1	no	—
1437	C₂×C₄	—	2	1	no	—
1438	C₂×C₄	—	2	1	no	—
1439	C₂×C₄	—	2	1	no	—
1440	C₂×C₄	—	2	8	no	—
1441	C₂×C₄	—	2	1	no	—
1442	C₂×C₄	—	2	1	no	—
1443	C₂×C₄	—	2	1	no	—
1444	C₂×C₄	—	2	1	no	—
1445	C₂×C₄	—	2	1	no	—
1446	C₂×C₄	—	2	1	no	—
1447	C₂×C₄	—	2	1	no	—
1448	C₂×C₄	—	2	1	no	—
1449	C₂×C₄	—	2	1	no	—
1450	C₂×C₄	—	2	1	no	—
1451	C₂×C₄	—	2	1	no	—
1452	C₂×C₄	—	2	1	no	—
1453	C₂×C₄	—	2	1	no	—
1454	C₂×C₄	—	2	1	no	—
1455	C₂×C₄	—	2	1	no	—
1456	C₂×C₄	—	2	1	no	—
1457	C₂×C₄	—	2	1	no	—
1458	C₂×C₄	—	2	1	no	—
1459	C₂×C₄	—	4	4	no	—
1460	C₂×C₄	—	4	4	no	—
1461	C₂×C₄	—	4	4	no	—
1462	C₂×C₄	—	4	4	no	—
1463	C₂×C₄	—	4	4	no	—
1464	C₂×C₄	—	4	4	no	—
1465	C₂×C₄	—	43	2	no	—
1466	C₂×C₄	—	43	2	no	—
1467	C₂×C₄	—	43	2	no	—
1468	C₂×C₄	—	43	2	no	—
1469	C₂×C₄	—	43	2	no	—
1470	C₂×C₄	—	43	2	no	—
1471	C₂×C₄	—	43	2	no	—
1472	C₂×C₄	—	43	2	no	—
1473	C₂×C₄	—	43	2	no	—
1474	C₂×C₄	—	86	1	no	—
1475	C₂×C₄	—	86	1	no	—
1476	C₂×C₄	—	86	1	no	—
1477	C₂×C₄	—	86	1	no	—
1478	C₂×C₄	—	86	1	no	—
1479	C₂×C₄	—	86	1	no	—
1480	C₂×C₄	—	86	1	no	—
1481	C₂×C₄	—	86	1	no	—
1482	C₂×C₄	—	86	1	no	—
1483	C₂×C₄	—	86	1	no	—
1484	C₂×C₄	—	86	1	no	—
1485	C₂×C₄	—	86	1	no	—
1486	C₂×C₄	—	86	1	no	—
1487	C₂×C₄	—	86	1	no	—
1488	C₂×C₄	—	86	1	no	—
1489	C₂×C₄	—	86	1	no	—
1490	C₂×C₄	—	86	1	no	—
1491	C₂×C₄	—	86	1	no	—
1492	C₂×C₄	—	86	1	no	—
1493	C₂×C₄	—	86	1	no	—
1494	C₂×C₄	—	86	1	no	—
1495	C₂×C₄	—	86	1	no	—
1496	C₂×C₄	—	86	1	no	—
1497	C₂×C₄	—	86	1	no	—
1498	C₂×C₄	—	86	1	no	—
1499	C₂×C₄	—	86	1	no	—
1500	C₂×C₄	—	86	1	no	—
1501	C₂×C₄	—	86	1	no	—
1502	C₂×C₄	—	86	1	no	—
1503	C₂×C₄	—	86	1	no	—
1504	C₂×C₄	—	86	1	no	—
1505	C₂×C₄	—	86	1	no	—
1506	C₂×C₄	—	86	1	no	—
1507	C₂×C₄	—	86	1	no	—
1508	C₂×C₄	—	86	1	no	—
1509	C₂×C₄	—	86	1	no	—
1510	C₂×C₄	—	172	4	no	—
1511	C₂×C₄	—	172	4	no	—
1512	C₂×C₄	—	172	4	no	—
1513	C₂×C₄	—	172	4	no	—
1514	C₂×C₄	—	172	4	no	—
1515	C₂×C₄	—	172	4	no	—
1516	C₂×C₄	—	172	4	no	—
1517	C₂×C₄	—	172	4	no	—
1518	C₂×C₄	—	172	4	no	—
1519	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1520	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1521	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1522	C₂×C₄	C₂×#10621900	1	2	yes	—
1523	C₂×C₄	C₂×#10621900	1	2	yes	—
1524	C₂×C₄	#13063370	1	2	yes	—
1525	C₂×C₄	#13063370	1	2	yes	—
1526	C₂²	—	2	2	no	—
1527	C₂²	—	2	2	no	—
1528	C₂²	—	2	2	no	—
1529	C₂²	—	2	2	no	—
1530	C₂²	—	2	2	no	—
1531	C₂²	—	2	2	no	—
1532	C₂²	—	2	2	no	—
1533	C₂²	—	2	2	no	—
1534	C₂²	—	2	2	no	—
1535	C₂²	—	2	2	no	—
1536	C₂²	—	2	2	no	—
1537	C₂²	—	2	2	no	—
1538	C₂²	—	2	2	no	—
1539	C₂²	—	2	2	no	—
1540	C₂²	—	2	2	no	—
1541	C₂²	—	4	16	no	—
1542	C₂²	—	4	1	no	—
1543	C₂²	—	4	1	no	—
1544	C₂²	—	4	1	no	—
1545	C₂²	—	4	1	no	—
1546	C₂²	—	4	1	no	—
1547	C₂²	—	4	1	no	—
1548	C₂²	—	4	1	no	—
1549	C₂²	—	4	1	no	—
1550	C₂²	—	4	1	no	—
1551	C₂²	—	4	1	no	—
1552	C₂²	—	4	1	no	—
1553	C₂²	—	4	1	no	—
1554	C₂²	—	86	2	no	—
1555	C₂²	—	86	2	no	—
1556	C₂²	—	86	2	no	—
1557	C₂²	—	172	1	no	—
1558	C₂²	—	172	1	no	—
1559	C₂²	—	172	1	no	—
1560	C₂²	—	172	1	no	—
1561	C₂²	C₄×#10621900	1	4	yes	—
1562	C₂²	C₂³×C₄×D₄₃	1	1	yes	characteristic
1563	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1564	C₂²	C₂²×#10621900	1	1	yes	characteristic
1565	C₂²	C₂×#13063370	1	1	yes	characteristic
1566	C₂²	C₂×#13063370	1	1	yes	characteristic
1567	C₂²	#14583735	1	1	yes	characteristic
1568	C₂²	#14583735	1	1	yes	characteristic
1569	C₄	—	2	2	no	—
1570	C₄	—	2	2	no	—
1571	C₄	—	2	2	no	—
1572	C₄	—	2	2	no	—
1573	C₄	—	4	1	no	—
1574	C₄	—	4	1	no	—
1575	C₄	—	4	1	no	—
1576	C₄	—	4	1	no	—
1577	C₄	—	4	1	no	—
1578	C₄	—	4	1	no	—
1579	C₄	—	86	2	no	—
1580	C₄	—	86	2	no	—
1581	C₄	—	86	2	no	—
1582	C₄	—	86	2	no	—
1583	C₄	—	86	2	no	—
1584	C₄	—	86	2	no	—
1585	C₄	—	86	2	no	—
1586	C₄	—	86	2	no	—
1587	C₄	—	86	2	no	—
1588	C₄	—	172	1	no	—
1589	C₄	—	172	1	no	—
1590	C₄	—	172	1	no	—
1591	C₄	—	172	1	no	—
1592	C₄	—	172	1	no	—
1593	C₄	—	172	1	no	—
1594	C₄	#14583484	1	4	yes	direct product factor
1595	C₂	—	2	4	no	—
1596	C₂	—	4	2	no	—
1597	C₂	—	4	2	no	—
1598	C₂	—	4	2	no	—
1599	C₂	—	172	2	no	—
1600	C₂	C₂×C₄×#10621900	1	1	yes	characteristic
1601	C₂	C₄×#13063370	1	1	yes	characteristic
1602	C₂	C₄×#13063370	1	1	yes	characteristic
1603	C₂	C₂×#14583484	1	1	yes	characteristic
1604	C₂	#19147983	1	1	yes	characteristic
1605	C₂	#19148002	1	1	yes	characteristic
1606	C₂	#19148013	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₄₃
commutator	C₂²×C₄₃	C₂⁴×C₄
Frattini	C₂³	C₂⁴×D₄₃
Fitting	C₄×#120×C₄₃	C₂
socle, cosocle	C₂³×C₄₃	C₂⁵
prime radical	C₂×#14583484	C₂
hypercenter	C₄×#120	D₄₃
hypocenter	C₄₃	C₄×#538
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₄×#120

Complements

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

N	H ≅ G/N	type
2. #19137409	C₂	semidirect
3. #19137404	C₂	semidirect
4. #19137386	C₂	semidirect
5. #19137380	C₂	semidirect
6. #19137371	C₂	semidirect
7. #19137365	C₂	semidirect
8. #19137361	C₂	semidirect
9. #19137356	C₂	semidirect
10. #19137326	C₂	semidirect
11. #19137296	C₂	semidirect
12. #19137256	C₂	semidirect
13. #19137250	C₂	semidirect
14. #19137223	C₂	semidirect
15. #19137221	C₂	semidirect
16. #19137191	C₂	semidirect
17. C₄×#13063318	C₂	semidirect
18. C₄×#13063318	C₂	semidirect
19. C₄×#13063312	C₂	semidirect
20. C₄×#13063311	C₂	semidirect
21. C₄×#13063302	C₂	semidirect
22. C₄×#13063307	C₂	semidirect
23. C₄×#13063306	C₂	semidirect
24. C₄×#13063297	C₂	semidirect
25. C₄×#13063297	C₂	semidirect
26. C₄×#13063296	C₂	semidirect
27. C₄×#13063294	C₂	semidirect
28. C₄×D₄×Dic₄₃	C₂	semidirect
29. C₄×(C₂²⋊D₄₃)⋊C₄	C₂	semidirect
30. C₂×C₄×C₂²⋊Dic₄₃	C₂	semidirect
31. C₄×#120×C₄₃	C₂	semidirect
32. #14583484	C₄	direct (N × H)
44. C₂×C₄×Dic₈₆	C₂²	semidirect
50. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
57. C₂²×C₄×Dic₄₃	C₂²	semidirect
58. C₂×C₄²×D₄₃	C₂²	semidirect
59. #14582804	C₂²	semidirect
60. #14582803	C₂²	semidirect
61. #14582803	C₂²	semidirect
66. #14582799	C₂²	semidirect
67. #14582796	C₂²	semidirect
68. #14582795	C₂²	semidirect
69. #14582794	C₂²	semidirect
70. #14582794	C₂²	semidirect
77. #14582793	C₂²	semidirect
78. #14582793	C₂²	semidirect
79. #14582793	C₂²	semidirect
84. #14582791	C₂²	semidirect
85. #14582789	C₂²	semidirect
86. #14582789	C₂²	semidirect
87. #14582788	C₂²	semidirect
94. #14582787	C₂²	semidirect
95. #14582786	C₂²	semidirect
96. #14582786	C₂²	semidirect
97. #14582786	C₂²	semidirect
98. #14582784	C₂²	semidirect
99. #14582784	C₂²	semidirect
100. #14582782	C₂²	semidirect
101. #14582782	C₂²	semidirect
102. #14582781	C₂²	semidirect
103. #14582781	C₂²	semidirect
104. #14582781	C₂²	semidirect
105. #14582780	C₂²	semidirect
106. #14582780	C₂²	semidirect
114. #14582776	C₂²	semidirect
117. #14582775	C₂²	semidirect
119. #14582773	C₂²	semidirect
124. #14582771	C₂²	semidirect
125. #14582766	C₂²	semidirect
126. #14582766	C₂²	semidirect
127. #14582764	C₂²	semidirect
128. #14582763	C₂²	semidirect
129. #14582761	C₂²	semidirect
130. #14582760	C₂²	semidirect
133. #14582757	C₂²	semidirect
134. #14582756	C₂²	semidirect
136. C₄⋊C₄×Dic₄₃	C₂²	semidirect
137. C₄⋊C₄×Dic₄₃	C₂²	semidirect
138. C₄×Dic₄₃⋊C₄	C₂²	semidirect
139. C₄×Dic₄₃⋊C₄	C₂²	semidirect
140. C₄×Dic₄₃⋊C₄	C₂²	semidirect
141. C₄×Dic₄₃⋊C₄	C₂²	semidirect
142. C₄×C₄⋊Dic₄₃	C₂²	semidirect
143. C₄×C₄⋊Dic₄₃	C₂²	semidirect
144. #14582750	C₂²	semidirect
145. #14582750	C₂²	semidirect
150. C₂²⋊C₄×Dic₄₃	C₂²	semidirect
151. C₂²⋊C₄×Dic₄₃	C₂²	semidirect
152. C₄×(C₂×D₄₃)⋊C₄	C₂²	semidirect
153. C₄×(C₂×D₄₃)⋊C₄	C₂²	semidirect
165. C₄×C₂²⋊Dic₄₃	C₂²	semidirect
166. C₄×C₂²⋊Dic₄₃	C₂²	semidirect
167. #14582746	C₂²	semidirect
168. #14582746	C₂²	semidirect
171. C₄²×Dic₄₃	C₂²	semidirect
172. C₄²×Dic₄₃	C₂²	semidirect
202. #13063318	C₂×C₄	semidirect
203. #13063318	C₂×C₄	semidirect
204. #13063312	C₂×C₄	semidirect
205. #13063311	C₂×C₄	semidirect
206. #13063307	C₂×C₄	semidirect
207. #13063306	C₂×C₄	semidirect
208. #13063302	C₂×C₄	semidirect
209. #13063297	C₂×C₄	semidirect
210. #13063297	C₂×C₄	semidirect
211. #13063296	C₂×C₄	semidirect
212. #13063294	C₂×C₄	semidirect
215. D₄×Dic₄₃	C₂×C₄	semidirect
221. (C₂²⋊D₄₃)⋊C₄	C₂×C₄	semidirect
242. C₂×C₂²⋊Dic₄₃	C₂×C₄	semidirect
348. #120×C₄₃	C₂×C₄	semidirect
441. C₂×C₂²⋊D₄₃	C₂²×C₄	semidirect
458. C₂²×Dic₄₃	C₂²×C₄	semidirect
483. C₂×C₄×D₄₃	C₂²×C₄	semidirect
486. C₂×Dic₈₆	C₂²×C₄	semidirect
525. C₂²⋊Dic₄₃	C₂²×C₄	semidirect
526. C₂²⋊Dic₄₃	C₂²×C₄	semidirect
533. (C₂×D₄₃)⋊C₄	C₂²×C₄	semidirect
534. (C₂×D₄₃)⋊C₄	C₂²×C₄	semidirect
538. C₄⋊Dic₄₃	C₂²×C₄	semidirect
539. C₄⋊Dic₄₃	C₂²×C₄	semidirect
550. Dic₄₃⋊C₄	C₂²×C₄	semidirect
551. Dic₄₃⋊C₄	C₂²×C₄	semidirect
552. Dic₄₃⋊C₄	C₂²×C₄	semidirect
553. Dic₄₃⋊C₄	C₂²×C₄	semidirect
575. C₄×Dic₄₃	C₂²×C₄	semidirect
576. C₄×Dic₄₃	C₂²×C₄	semidirect
776. C₄×C₄₃	#538	semidirect
819. C₄×#120	D₄₃	semidirect
991. C₄₃	C₄×#538	semidirect
1031. #120	C₄×D₄₃	semidirect
1594. C₄	#14583484	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×#14583484	2
#19137409	2
#19137404	2
#19137386	2
#19137380	2
#19137371	2
#19137365	2
#19137361	2
#19137356	2
#19137326	2
#19137296	2
#19137256	2
#19137250	2
#19137223	2
#19137221	2
#19137191	2
C₄×#13063318	2
C₄×#13063312	2
C₄×#13063311	2
C₄×#13063302	2
C₄×#13063307	2
C₄×#13063306	2
C₄×#13063297	2
C₄×#13063296	2
C₄×#13063294	2
C₄×D₄×Dic₄₃	2
C₄×(C₂²⋊D₄₃)⋊C₄	2
C₂×C₄×C₂²⋊Dic₄₃	2
C₄×#120×C₄₃	2
C₄×#538	43

Subgroups — C4×#14583484 #25255664

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄×#14583484 #25255664