Subgroups — #25269815

Order 11008.

2070 conjugacy classes of subgroups.

The subgroup lattice has 1542 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19142912	C₂	1	1	yes	maximal, characteristic, complemented
2	#19142908	C₂	1	1	yes	maximal, characteristic, complemented
3	#19142887	C₂	1	1	yes	maximal, characteristic, complemented
4	#19140567	C₂	1	1	yes	maximal, characteristic, complemented
5	#19140525	C₂	1	1	yes	maximal, characteristic, complemented
6	#19140404	C₂	1	1	yes	maximal, characteristic, complemented
7	#19140333	C₂	1	1	yes	maximal, characteristic
8	#19139858	C₂	1	1	yes	maximal, characteristic, complemented
9	#19139850	C₂	1	1	yes	maximal, characteristic, complemented
10	#19139846	C₂	1	1	yes	maximal, characteristic, complemented
11	#19139841	C₂	1	1	yes	maximal, characteristic, complemented
12	#19139659	C₂	1	1	yes	maximal, characteristic, complemented
13	#19139651	C₂	1	1	yes	maximal, characteristic, complemented
14	#19139644	C₂	1	1	yes	maximal, characteristic, complemented
15	#19139636	C₂	1	1	yes	maximal, characteristic, complemented
16	#19139233	C₂	1	1	yes	maximal, characteristic, complemented
17	#19139225	C₂	1	1	yes	maximal, characteristic, complemented
18	#19139218	C₂	1	1	yes	maximal, characteristic, complemented
19	#19139210	C₂	1	1	yes	maximal, characteristic, complemented
20	#19138521	C₂	1	1	yes	maximal, characteristic, complemented
21	#19138513	C₂	1	1	yes	maximal, characteristic, complemented
22	#19138506	C₂	1	1	yes	maximal, characteristic, complemented
23	#19138498	C₂	1	1	yes	maximal, characteristic, complemented
24	#19137256	C₂	1	1	yes	maximal, characteristic, complemented
25	#19137250	C₂	1	1	yes	maximal, characteristic, complemented
26	#19137223	C₂	1	1	yes	maximal, characteristic, complemented
27	#19137221	C₂	1	1	yes	maximal, characteristic, complemented
28	#19137127	C₂	1	1	yes	maximal, characteristic, complemented
29	#19137105	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×C₄×C₂²⋊Dic₄₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₃×#2849	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#13063320	C₂²	1	1	yes	characteristic, complemented
33	C₂×#13063318	C₂²	1	1	yes	characteristic, complemented
34	C₂×#13063308	C₂²	1	1	yes	characteristic
35	C₂×#13063308	C₂²	1	1	yes	characteristic
36	C₂×#13063302	C₂²	1	1	yes	characteristic
37	C₂×#13063297	C₂²	1	1	yes	characteristic
38	C₂×#13063294	C₂²	1	1	yes	characteristic
39	C₂×#13063290	C₂²	1	1	yes	characteristic, complemented
40	C₂×D₄×Dic₄₃	C₂²	1	1	yes	characteristic
41	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
42	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
43	C₂²×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
44	C₂²×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
45	C₂²×C₄×Dic₄₃	C₂²	1	1	yes	characteristic
46	C₂²×C₄×Dic₄₃	C₂²	1	1	yes	characteristic
47	#14582841	C₂²	1	1	yes	characteristic, complemented
48	#14582840	C₂²	1	1	yes	characteristic, complemented
49	#14582840	C₂²	1	1	yes	characteristic, complemented
50	#14582840	C₂²	1	1	yes	characteristic, complemented
51	#14582839	C₂²	1	1	yes	characteristic, complemented
52	#14582837	C₂²	1	1	yes	characteristic, complemented
53	#14582835	C₂²	1	1	yes	characteristic
54	#14582835	C₂²	1	1	yes	characteristic
55	#14582833	C₂²	1	1	yes	characteristic, complemented
56	#14582832	C₂²	1	1	yes	characteristic, complemented
57	#14582830	C₂²	1	1	yes	characteristic, complemented
58	#14582829	C₂²	1	1	yes	characteristic, complemented
59	#14582828	C₂²	1	1	yes	characteristic, complemented
60	#14582827	C₂²	1	1	yes	characteristic
61	#14582827	C₂²	1	1	yes	characteristic
62	#14582827	C₂²	1	1	yes	characteristic, complemented
63	#14582822	C₂²	1	1	yes	characteristic
64	#14582822	C₂²	1	1	yes	characteristic
65	#14582822	C₂²	1	1	yes	characteristic
66	#14582822	C₂²	1	1	yes	characteristic
67	#14582815	C₂²	1	1	yes	characteristic, complemented
68	#14582814	C₂²	1	1	yes	characteristic
69	#14582814	C₂²	1	1	yes	characteristic
70	#14582814	C₂²	1	1	yes	characteristic, complemented
71	#14582813	C₂²	1	1	yes	characteristic
72	#14582813	C₂²	1	1	yes	characteristic
73	#14582812	C₂²	1	1	yes	characteristic, complemented
74	#14582811	C₂²	1	1	yes	characteristic
75	#14582811	C₂²	1	1	yes	characteristic
76	#14582811	C₂²	1	1	yes	characteristic, complemented
77	#14582807	C₂²	1	1	yes	characteristic
78	#14582807	C₂²	1	1	yes	characteristic
79	#14582803	C₂²	1	1	yes	characteristic, complemented
80	#14582802	C₂²	1	1	yes	characteristic
81	#14582802	C₂²	1	1	yes	characteristic
82	#14582799	C₂²	1	1	yes	characteristic
83	#14582799	C₂²	1	1	yes	characteristic
84	#14582799	C₂²	1	1	yes	characteristic, complemented
85	#14582796	C₂²	1	1	yes	characteristic, complemented
86	#14582794	C₂²	1	1	yes	characteristic, complemented
87	#14582793	C₂²	1	1	yes	characteristic
88	#14582793	C₂²	1	1	yes	characteristic
89	#14582793	C₂²	1	1	yes	characteristic, complemented
90	#14582793	C₂²	1	1	yes	characteristic, complemented
91	#14582792	C₂²	1	1	yes	characteristic
92	#14582792	C₂²	1	1	yes	characteristic
93	#14582792	C₂²	1	1	yes	characteristic
94	#14582792	C₂²	1	1	yes	characteristic
95	#14582792	C₂²	1	1	yes	characteristic, complemented
96	#14582791	C₂²	1	1	yes	characteristic, complemented
97	#14582791	C₂²	1	1	yes	characteristic, complemented
98	#14582791	C₂²	1	1	yes	characteristic, complemented
99	#14582789	C₂²	1	1	yes	characteristic, complemented
100	#14582789	C₂²	1	1	yes	characteristic, complemented
101	#14582788	C₂²	1	1	yes	characteristic, complemented
102	#14582787	C₂²	1	1	yes	characteristic
103	#14582787	C₂²	1	1	yes	characteristic
104	#14582787	C₂²	1	1	yes	characteristic, complemented
105	#14582787	C₂²	1	1	yes	characteristic, complemented
106	#14582787	C₂²	1	1	yes	characteristic, complemented
107	#14582786	C₂²	1	1	yes	characteristic, complemented
108	#14582786	C₂²	1	1	yes	characteristic, complemented
109	#14582785	C₂²	1	1	yes	characteristic, complemented
110	#14582784	C₂²	1	1	yes	characteristic, complemented
111	#14582784	C₂²	1	1	yes	characteristic, complemented
112	#14582784	C₂²	1	1	yes	characteristic, complemented
113	#14582782	C₂²	1	1	yes	characteristic, complemented
114	#14582782	C₂²	1	1	yes	characteristic, complemented
115	#14582781	C₂²	1	1	yes	characteristic, complemented
116	#14582780	C₂²	1	1	yes	characteristic, complemented
117	#14582780	C₂²	1	1	yes	characteristic, complemented
118	#14582780	C₂²	1	1	yes	characteristic, complemented
119	#14582779	C₂²	1	1	yes	characteristic
120	#14582779	C₂²	1	1	yes	characteristic
121	#14582779	C₂²	1	1	yes	characteristic
122	#14582779	C₂²	1	1	yes	characteristic
123	#14582778	C₂²	1	1	yes	characteristic
124	#14582778	C₂²	1	1	yes	characteristic
125	#14582778	C₂²	1	1	yes	characteristic
126	#14582778	C₂²	1	1	yes	characteristic
127	#14582776	C₂²	1	1	yes	characteristic
128	#14582776	C₂²	1	1	yes	characteristic
129	#14582775	C₂²	1	1	yes	characteristic
130	#14582775	C₂²	1	1	yes	characteristic
131	#14582774	C₂²	1	1	yes	characteristic
132	#14582774	C₂²	1	1	yes	characteristic
133	#14582772	C₂²	1	1	yes	characteristic
134	#14582772	C₂²	1	1	yes	characteristic
135	#14582772	C₂²	1	1	yes	characteristic
136	#14582772	C₂²	1	1	yes	characteristic
137	#14582771	C₂²	1	1	yes	characteristic
138	#14582771	C₂²	1	1	yes	characteristic
139	#14582766	C₂²	1	1	yes	characteristic, complemented
140	#14582766	C₂²	1	1	yes	characteristic, complemented
141	#14582766	C₂²	1	1	yes	characteristic, complemented
142	#14582766	C₂²	1	1	yes	characteristic, complemented
143	#14582764	C₂²	1	1	yes	characteristic, complemented
144	#14582763	C₂²	1	1	yes	characteristic, complemented
145	#14582762	C₂²	1	1	yes	characteristic
146	#14582762	C₂²	1	1	yes	characteristic
147	#14582761	C₂²	1	1	yes	characteristic, complemented
148	#14582760	C₂²	1	1	yes	characteristic, complemented
149	#14582757	C₂²	1	1	yes	characteristic
150	#14582757	C₂²	1	1	yes	characteristic
151	#14582757	C₂²	1	1	yes	characteristic, complemented
152	#14582756	C₂²	1	1	yes	characteristic, complemented
153	#14582755	C₂²	1	1	yes	characteristic
154	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
155	#14582750	C₂²	1	1	yes	characteristic, complemented
156	#14582750	C₂²	1	1	yes	characteristic, complemented
157	#14582750	C₂²	1	1	yes	characteristic, complemented
158	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
159	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
160	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
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
166	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
167	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
168	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
169	#14582746	C₂²	1	1	yes	characteristic, complemented
170	C₂×C₄₃⋊#95	C₂²	1	1	yes	characteristic
171	C₂×C₄₃⋊#95	C₂²	1	1	yes	characteristic
172	C₂⁴×C₄×C₄₃	C₂²	1	1	yes	characteristic
173	C₂×#123×C₄₃	C₂²	1	1	yes	characteristic
174	C₂×#123×C₄₃	C₂²	1	1	yes	characteristic
175	C₂×#120×C₄₃	C₂²	1	1	yes	characteristic
176	C₄₃×#386	C₂²	1	1	yes	characteristic
177	C₄₃×#386	C₂²	1	1	yes	characteristic
178	C₄₃×#386	C₂²	1	1	yes	characteristic
179	C₄₃×#386	C₂²	1	1	yes	characteristic
180	C₄₃×#385	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×#381	C₂²	1	1	yes	characteristic
185	C₄₃×#381	C₂²	1	1	yes	characteristic
186	C₄₃×#379	C₂²	1	1	yes	characteristic
187	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
188	C₂²×C₂²⋊D₄₃	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	C₂³×Dic₄₃	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	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
198	#13063320	—	4	2	no	—
199	#13063318	—	4	2	no	—
200	#13063308	—	4	2	no	—
201	#13063308	—	4	2	no	—
202	#13063302	—	2	4	no	—
203	#13063297	—	2	4	no	—
204	#13063294	—	2	4	no	—
205	#13063290	—	4	2	no	—
206	D₄×Dic₄₃	—	2	4	no	—
207	(C₂²⋊D₄₃)⋊C₄	—	2	4	no	—
208	(C₂²⋊D₄₃)⋊C₄	—	4	2	no	—
209	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
210	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
211	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
212	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
213	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
214	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
215	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
216	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
217	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
218	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
219	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
220	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
221	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
222	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
223	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
224	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
225	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
226	C₂×Dic₄₃⋊C₄	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×C₂²⋊Dic₄₃	—	2	4	no	—
232	C₂×C₂²⋊Dic₄₃	—	2	4	no	—
233	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
234	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
235	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
236	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
237	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
238	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
239	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
240	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
241	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
242	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
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×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×C₄×Dic₄₃	—	4	2	no	—
267	C₂×C₄×Dic₄₃	—	4	2	no	—
268	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
269	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
270	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
271	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
272	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
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	C₄₃⋊#95	C₂³	1	1	yes	characteristic
283	C₄₃⋊#95	C₂³	1	1	yes	characteristic
284	C₄₃⋊#95	C₂³	1	1	yes	characteristic
285	C₄₃⋊#95	C₂³	1	1	yes	characteristic
286	C₄₃⋊#95	C₂³	1	1	yes	characteristic
287	C₄₃⋊#95	C₂³	1	1	yes	characteristic
288	C₄₃⋊#95	C₂³	1	1	yes	characteristic
289	C₄₃⋊#95	C₂³	1	1	yes	characteristic
290	C₄₃⋊#95	C₂³	1	1	yes	characteristic
291	C₄₃⋊#95	C₂³	1	1	yes	characteristic
292	C₄₃⋊#95	C₂³	1	1	yes	characteristic
293	C₄₃⋊#95	C₂³	1	1	yes	characteristic
294	C₄₃⋊#95	C₂³	1	1	yes	characteristic
295	C₄₃⋊#95	C₂³	1	1	yes	characteristic
296	C₄₃⋊#95	C₂³	1	1	yes	characteristic
297	C₄₃⋊#95	C₂³	1	1	yes	characteristic
298	C₄₃⋊#95	C₂³	1	1	yes	characteristic
299	C₄₃⋊#95	C₂³	1	1	yes	characteristic
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	C₂⁵×C₄₃	C₂³	1	1	yes	characteristic
323	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
324	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
325	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
326	C₂³×C₄×C₄₃	—	2	4	no	—
327	C₂³×C₄×C₄₃	—	4	2	no	—
328	C₂³×C₄×C₄₃	—	4	2	no	—
329	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
330	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
331	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
332	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
333	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
334	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
335	#123×C₄₃	—	4	2	no	—
336	#123×C₄₃	—	4	2	no	—
337	#120×C₄₃	—	2	4	no	—
338	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
345	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
346	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
351	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
352	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
353	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
354	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
355	#95×C₄₃	C₂³	1	1	yes	characteristic
356	#95×C₄₃	C₂³	1	1	yes	characteristic
357	#95×C₄₃	C₂³	1	1	yes	characteristic
358	#95×C₄₃	C₂³	1	1	yes	characteristic
359	#95×C₄₃	C₂³	1	1	yes	characteristic
360	#95×C₄₃	C₂³	1	1	yes	characteristic
361	#95×C₄₃	C₂³	1	1	yes	characteristic
362	#95×C₄₃	C₂³	1	1	yes	characteristic
363	C₂⁴×C₄₃	—	2	2	no	—
364	C₂⁴×C₄₃	—	2	2	no	—
365	C₂⁴×C₄₃	—	4	1	no	—
366	C₂⁴×C₄₃	—	4	1	no	—
367	C₂⁴×C₄₃	—	4	1	no	—
368	C₂⁴×C₄₃	—	4	1	no	—
369	C₂⁴×C₄₃	#41	1	4	yes	—
370	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
371	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
372	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
373	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
374	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
375	C₂×D₄×C₄₃	—	2	2	no	—
376	C₂×D₄×C₄₃	—	2	2	no	—
377	C₂×D₄×C₄₃	—	2	2	no	—
378	C₂×D₄×C₄₃	—	2	2	no	—
379	C₂×D₄×C₄₃	—	2	2	no	—
380	C₂×D₄×C₄₃	—	4	1	no	—
381	C₂×D₄×C₄₃	—	4	1	no	—
382	C₂×D₄×C₄₃	—	4	1	no	—
383	C₂×D₄×C₄₃	—	4	1	no	—
384	C₂²×C₄×C₄₃	—	2	2	no	—
385	C₂²×C₄×C₄₃	—	2	2	no	—
386	C₂²×C₄×C₄₃	—	2	2	no	—
387	C₂²×C₄×C₄₃	—	2	2	no	—
388	C₂²×C₄×C₄₃	—	2	2	no	—
389	C₂²×C₄×C₄₃	—	2	2	no	—
390	C₂²×C₄×C₄₃	—	2	2	no	—
391	C₂²×C₄×C₄₃	—	2	2	no	—
392	C₂²×C₄×C₄₃	—	2	2	no	—
393	C₂²×C₄×C₄₃	—	2	2	no	—
394	C₂²×C₄×C₄₃	—	2	2	no	—
395	C₂²×C₄×C₄₃	—	2	2	no	—
396	C₂²×C₄×C₄₃	—	4	1	no	—
397	C₂²×C₄×C₄₃	—	4	1	no	—
398	C₂²×C₄×C₄₃	—	4	1	no	—
399	C₂²×C₄×C₄₃	—	4	1	no	—
400	C₂²×C₄×C₄₃	—	4	1	no	—
401	C₂²×C₄×C₄₃	—	4	1	no	—
402	C₂²×C₄×C₄₃	—	4	16	no	—
403	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
410	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
411	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
412	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
413	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
414	C₂×C₂²⋊D₄₃	—	2	2	no	—
415	C₂×C₂²⋊D₄₃	—	2	2	no	—
416	C₂×C₂²⋊D₄₃	—	2	2	no	—
417	C₂×C₂²⋊D₄₃	—	2	2	no	—
418	C₂×C₂²⋊D₄₃	—	2	2	no	—
419	C₂×C₂²⋊D₄₃	—	2	2	no	—
420	C₂×C₂²⋊D₄₃	—	4	1	no	—
421	C₂×C₂²⋊D₄₃	—	4	1	no	—
422	C₂×C₂²⋊D₄₃	—	4	1	no	—
423	C₂×C₂²⋊D₄₃	—	4	1	no	—
424	C₂×C₂²⋊D₄₃	—	4	1	no	—
425	C₂×C₂²⋊D₄₃	—	4	1	no	—
426	C₂²×Dic₄₃	—	2	2	no	—
427	C₂²×Dic₄₃	—	2	2	no	—
428	C₂²×Dic₄₃	—	2	2	no	—
429	C₂²×Dic₄₃	—	4	1	no	—
430	C₂²×Dic₄₃	—	4	1	no	—
431	C₂²×Dic₄₃	—	4	1	no	—
432	C₂²×Dic₄₃	—	4	1	no	—
433	C₂²×Dic₄₃	—	4	1	no	—
434	C₂²×Dic₄₃	—	4	1	no	—
435	C₂²×Dic₄₃	—	4	1	no	—
436	C₂²×Dic₄₃	—	4	1	no	—
437	C₂²×Dic₄₃	—	4	1	no	—
438	C₂²×Dic₄₃	—	4	1	no	—
439	C₂²×Dic₄₃	#41	1	4	yes	—
440	C₂²×Dic₄₃	#41	1	4	yes	—
441	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
442	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
443	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
444	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
445	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
446	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
447	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
448	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
449	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
450	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
451	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
452	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
453	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
454	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
455	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
456	C₂×C₄×D₄₃	—	2	2	no	—
457	C₂×C₄×D₄₃	—	4	1	no	—
458	C₂×C₄×D₄₃	—	4	1	no	—
459	C₂×Dic₈₆	—	2	2	no	—
460	C₂×Dic₈₆	—	4	1	no	—
461	C₂×Dic₈₆	—	4	1	no	—
462	C₄⋊C₄×C₄₃	—	2	2	no	—
463	C₄⋊C₄×C₄₃	—	2	2	no	—
464	C₄⋊C₄×C₄₃	—	4	1	no	—
465	C₄⋊C₄×C₄₃	—	4	1	no	—
466	C₂²⋊C₄×C₄₃	—	2	2	no	—
467	C₂²⋊C₄×C₄₃	—	2	2	no	—
468	C₂²⋊C₄×C₄₃	—	2	2	no	—
469	C₂²⋊C₄×C₄₃	—	2	2	no	—
470	C₂²⋊C₄×C₄₃	—	2	2	no	—
471	C₂²⋊C₄×C₄₃	—	2	2	no	—
472	C₂²⋊C₄×C₄₃	—	2	2	no	—
473	C₂²⋊C₄×C₄₃	—	4	1	no	—
474	C₂²⋊C₄×C₄₃	—	4	1	no	—
475	C₂²⋊C₄×C₄₃	—	4	1	no	—
476	C₂²⋊C₄×C₄₃	—	4	1	no	—
477	C₂²⋊C₄×C₄₃	—	4	1	no	—
478	C₂²⋊C₄×C₄₃	—	4	1	no	—
479	C₂²⋊Dic₄₃	—	2	2	no	—
480	C₂²⋊Dic₄₃	—	2	2	no	—
481	C₂²⋊Dic₄₃	—	2	2	no	—
482	C₂²⋊Dic₄₃	—	2	2	no	—
483	C₂²⋊Dic₄₃	—	2	2	no	—
484	C₂²⋊Dic₄₃	—	2	2	no	—
485	C₂²⋊Dic₄₃	—	2	2	no	—
486	C₂²⋊Dic₄₃	—	2	2	no	—
487	C₂²⋊Dic₄₃	—	2	2	no	—
488	C₂²⋊Dic₄₃	—	2	2	no	—
489	C₂²⋊Dic₄₃	—	2	2	no	—
490	C₂²⋊Dic₄₃	—	2	2	no	—
491	C₂²⋊Dic₄₃	—	2	2	no	—
492	C₂²⋊Dic₄₃	—	2	2	no	—
493	C₂²⋊Dic₄₃	—	2	2	no	—
494	C₂²⋊Dic₄₃	—	4	1	no	—
495	C₂²⋊Dic₄₃	—	4	1	no	—
496	C₂²⋊Dic₄₃	—	4	1	no	—
497	C₂²⋊Dic₄₃	—	4	1	no	—
498	C₂²⋊Dic₄₃	—	4	1	no	—
499	C₂²⋊Dic₄₃	—	4	1	no	—
500	C₂²⋊Dic₄₃	—	4	1	no	—
501	C₂²⋊Dic₄₃	—	4	1	no	—
502	(C₂×D₄₃)⋊C₄	—	2	2	no	—
503	(C₂×D₄₃)⋊C₄	—	2	2	no	—
504	(C₂×D₄₃)⋊C₄	—	2	2	no	—
505	(C₂×D₄₃)⋊C₄	—	2	2	no	—
506	(C₂×D₄₃)⋊C₄	—	4	1	no	—
507	(C₂×D₄₃)⋊C₄	—	4	1	no	—
508	(C₂×D₄₃)⋊C₄	—	4	1	no	—
509	(C₂×D₄₃)⋊C₄	—	4	1	no	—
510	(C₂×D₄₃)⋊C₄	—	4	1	no	—
511	(C₂×D₄₃)⋊C₄	—	4	1	no	—
512	C₄⋊Dic₄₃	—	2	2	no	—
513	C₄⋊Dic₄₃	—	2	2	no	—
514	C₄⋊Dic₄₃	—	4	1	no	—
515	C₄⋊Dic₄₃	—	4	1	no	—
516	C₄⋊Dic₄₃	—	4	1	no	—
517	C₄⋊Dic₄₃	—	4	1	no	—
518	Dic₄₃⋊C₄	—	2	2	no	—
519	Dic₄₃⋊C₄	—	2	2	no	—
520	Dic₄₃⋊C₄	—	2	2	no	—
521	Dic₄₃⋊C₄	—	2	2	no	—
522	Dic₄₃⋊C₄	—	2	2	no	—
523	Dic₄₃⋊C₄	—	2	2	no	—
524	Dic₄₃⋊C₄	—	4	1	no	—
525	Dic₄₃⋊C₄	—	4	1	no	—
526	Dic₄₃⋊C₄	—	4	1	no	—
527	Dic₄₃⋊C₄	—	4	1	no	—
528	Dic₄₃⋊C₄	—	4	1	no	—
529	Dic₄₃⋊C₄	—	4	1	no	—
530	Dic₄₃⋊C₄	—	4	1	no	—
531	Dic₄₃⋊C₄	—	4	1	no	—
532	Dic₄₃⋊C₄	—	4	1	no	—
533	Dic₄₃⋊C₄	—	4	1	no	—
534	C₄×Dic₄₃	—	2	2	no	—
535	C₄×Dic₄₃	—	2	2	no	—
536	C₄×Dic₄₃	—	2	2	no	—
537	C₄×Dic₄₃	—	2	2	no	—
538	C₄×Dic₄₃	—	2	2	no	—
539	C₄×Dic₄₃	—	2	2	no	—
540	C₄×Dic₄₃	—	4	1	no	—
541	C₄×Dic₄₃	—	4	1	no	—
542	C₄×Dic₄₃	—	4	1	no	—
543	C₄×Dic₄₃	—	4	1	no	—
544	C₄×Dic₄₃	—	4	1	no	—
545	C₄×Dic₄₃	—	4	1	no	—
546	C₄×Dic₄₃	—	4	1	no	—
547	C₄×Dic₄₃	—	4	1	no	—
548	C₂³×C₄₃	—	2	1	no	—
549	C₂³×C₄₃	—	2	1	no	—
550	C₂³×C₄₃	—	2	1	no	—
551	C₂³×C₄₃	—	2	1	no	—
552	C₂³×C₄₃	—	2	8	no	—
553	C₂³×C₄₃	—	2	1	no	—
554	C₂³×C₄₃	—	2	1	no	—
555	C₂³×C₄₃	—	2	1	no	—
556	C₂³×C₄₃	—	2	1	no	—
557	C₂³×C₄₃	—	2	1	no	—
558	C₂³×C₄₃	—	2	1	no	—
559	C₂³×C₄₃	—	2	1	no	—
560	C₂³×C₄₃	—	2	1	no	—
561	C₂³×C₄₃	—	2	1	no	—
562	C₂³×C₄₃	—	2	1	no	—
563	C₂³×C₄₃	—	2	1	no	—
564	C₂³×C₄₃	—	2	1	no	—
565	C₂³×C₄₃	—	2	1	no	—
566	C₂³×C₄₃	—	2	1	no	—
567	C₂³×C₄₃	—	2	1	no	—
568	C₂³×C₄₃	—	2	1	no	—
569	C₂³×C₄₃	—	2	1	no	—
570	C₂³×C₄₃	—	2	1	no	—
571	C₂³×C₄₃	—	2	1	no	—
572	C₂³×C₄₃	—	4	4	no	—
573	C₂³×C₄₃	—	4	4	no	—
574	C₂³×C₄₃	—	4	4	no	—
575	C₂³×C₄₃	—	4	4	no	—
576	C₂³×C₄₃	—	4	4	no	—
577	C₂³×C₄₃	—	4	4	no	—
578	C₂³×C₄₃	C₂×#41	1	2	yes	—
579	C₂³×C₄₃	C₂×#41	1	2	yes	—
580	C₂³×C₄₃	C₂×#41	1	2	yes	—
581	C₂³×C₄₃	C₂×#41	1	2	yes	—
582	C₂³×C₄₃	C₂×#41	1	2	yes	—
583	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
584	C₂²×D₄₃	—	2	1	no	—
585	C₂²×D₄₃	—	2	1	no	—
586	C₂²×D₄₃	—	2	1	no	—
587	C₂²×D₄₃	—	2	1	no	—
588	C₂²×D₄₃	—	2	1	no	—
589	C₂²×D₄₃	—	2	1	no	—
590	C₂²×D₄₃	—	2	1	no	—
591	D₄×C₄₃	—	4	4	no	—
592	D₄×C₄₃	—	8	2	no	—
593	D₄×C₄₃	—	8	2	no	—
594	C₂×C₄×C₄₃	—	2	8	no	—
595	C₂×C₄×C₄₃	—	2	1	no	—
596	C₂×C₄×C₄₃	—	2	1	no	—
597	C₂×C₄×C₄₃	—	2	1	no	—
598	C₂×C₄×C₄₃	—	2	1	no	—
599	C₂×C₄×C₄₃	—	2	1	no	—
600	C₂×C₄×C₄₃	—	2	1	no	—
601	C₂×C₄×C₄₃	—	2	1	no	—
602	C₂×C₄×C₄₃	—	2	1	no	—
603	C₂×C₄×C₄₃	—	2	1	no	—
604	C₂×C₄×C₄₃	—	2	1	no	—
605	C₂×C₄×C₄₃	—	2	1	no	—
606	C₂×C₄×C₄₃	—	2	1	no	—
607	C₂×C₄×C₄₃	—	2	1	no	—
608	C₂×C₄×C₄₃	—	2	1	no	—
609	C₂×C₄×C₄₃	—	2	1	no	—
610	C₂×C₄×C₄₃	—	2	1	no	—
611	C₂×C₄×C₄₃	—	2	1	no	—
612	C₂×C₄×C₄₃	—	2	1	no	—
613	C₂×C₄×C₄₃	—	2	1	no	—
614	C₂×C₄×C₄₃	—	2	1	no	—
615	C₂×C₄×C₄₃	—	2	1	no	—
616	C₂×C₄×C₄₃	—	2	1	no	—
617	C₂×C₄×C₄₃	—	2	1	no	—
618	C₂×C₄×C₄₃	—	2	1	no	—
619	C₂×C₄×C₄₃	—	2	1	no	—
620	C₂×C₄×C₄₃	—	2	1	no	—
621	C₂×C₄×C₄₃	—	2	1	no	—
622	C₂×C₄×C₄₃	—	2	1	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	—	4	4	no	—
627	C₂×C₄×C₄₃	—	4	4	no	—
628	C₂×C₄×C₄₃	—	4	4	no	—
629	C₂×C₄×C₄₃	—	4	4	no	—
630	C₂×C₄×C₄₃	—	4	4	no	—
631	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
632	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
633	C₂²⋊D₄₃	—	4	4	no	—
634	C₂²⋊D₄₃	—	4	4	no	—
635	C₂²⋊D₄₃	—	8	2	no	—
636	C₂²⋊D₄₃	—	8	2	no	—
637	C₂×Dic₄₃	—	2	1	no	—
638	C₂×Dic₄₃	—	2	1	no	—
639	C₂×Dic₄₃	—	2	1	no	—
640	C₂×Dic₄₃	—	2	1	no	—
641	C₂×Dic₄₃	—	2	1	no	—
642	C₂×Dic₄₃	—	2	1	no	—
643	C₂×Dic₄₃	—	2	1	no	—
644	C₂×Dic₄₃	—	2	1	no	—
645	C₂×Dic₄₃	—	2	1	no	—
646	C₂×Dic₄₃	—	2	1	no	—
647	C₂×Dic₄₃	—	2	1	no	—
648	C₂×Dic₄₃	—	2	1	no	—
649	C₂×Dic₄₃	—	2	1	no	—
650	C₂×Dic₄₃	—	2	1	no	—
651	C₂×Dic₄₃	—	2	1	no	—
652	C₂×Dic₄₃	—	2	1	no	—
653	C₂×Dic₄₃	—	2	1	no	—
654	C₂×Dic₄₃	—	2	1	no	—
655	C₂×Dic₄₃	—	2	1	no	—
656	C₂×Dic₄₃	—	2	1	no	—
657	C₂×Dic₄₃	—	2	1	no	—
658	C₂×Dic₄₃	—	2	1	no	—
659	C₂×Dic₄₃	—	2	1	no	—
660	C₂×Dic₄₃	—	2	1	no	—
661	C₂×Dic₄₃	—	2	1	no	—
662	C₂×Dic₄₃	—	2	1	no	—
663	C₂×Dic₄₃	—	2	1	no	—
664	C₂×Dic₄₃	—	2	1	no	—
665	C₂×Dic₄₃	—	2	1	no	—
666	C₂×Dic₄₃	—	2	1	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	—	4	4	no	—
679	C₂×Dic₄₃	—	4	4	no	—
680	C₂×Dic₄₃	—	4	4	no	—
681	C₂×Dic₄₃	—	4	4	no	—
682	C₂×Dic₄₃	—	8	2	no	—
683	C₂×Dic₄₃	C₂×#41	1	2	yes	—
684	C₂×Dic₄₃	C₂×#41	1	2	yes	—
685	C₂×Dic₄₃	C₂×#41	1	2	yes	—
686	C₂×Dic₄₃	C₂×#41	1	2	yes	—
687	C₄×D₄₃	—	8	2	no	—
688	Dic₈₆	—	4	4	no	—
689	#35022	—	43	1	no	maximal, Sylow
690	C₂²×C₄₃	—	2	2	no	—
691	C₂²×C₄₃	—	2	2	no	—
692	C₂²×C₄₃	—	2	2	no	—
693	C₂²×C₄₃	—	2	2	no	—
694	C₂²×C₄₃	—	2	2	no	—
695	C₂²×C₄₃	—	2	2	no	—
696	C₂²×C₄₃	—	2	2	no	—
697	C₂²×C₄₃	—	2	2	no	—
698	C₂²×C₄₃	—	2	2	no	—
699	C₂²×C₄₃	—	2	2	no	—
700	C₂²×C₄₃	—	2	2	no	—
701	C₂²×C₄₃	—	2	2	no	—
702	C₂²×C₄₃	—	4	16	no	—
703	C₂²×C₄₃	—	4	1	no	—
704	C₂²×C₄₃	—	4	1	no	—
705	C₂²×C₄₃	—	4	1	no	—
706	C₂²×C₄₃	—	4	1	no	—
707	C₂²×C₄₃	—	4	1	no	—
708	C₂²×C₄₃	—	4	1	no	—
709	C₂²×C₄₃	—	4	1	no	—
710	C₂²×C₄₃	—	4	1	no	—
711	C₂²×C₄₃	—	4	1	no	—
712	C₂²×C₄₃	—	4	1	no	—
713	C₂²×C₄₃	—	4	1	no	—
714	C₂²×C₄₃	—	4	1	no	—
715	C₂²×C₄₃	—	4	1	no	—
716	C₂²×C₄₃	—	4	1	no	—
717	C₂²×C₄₃	—	4	1	no	—
718	C₂²×C₄₃	#529	1	4	yes	—
719	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
720	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
721	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
722	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
723	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
724	C₂²×C₄₃	#585	1	1	yes	characteristic
725	C₂²×C₄₃	#585	1	1	yes	characteristic
726	C₂×D₄₃	—	4	1	no	—
727	C₂×D₄₃	—	4	1	no	—
728	C₂×D₄₃	—	4	1	no	—
729	C₂×D₄₃	—	4	1	no	—
730	C₂×D₄₃	—	4	1	no	—
731	C₂×D₄₃	—	4	1	no	—
732	C₂×D₄₃	—	4	1	no	—
733	C₄×C₄₃	—	2	2	no	—
734	C₄×C₄₃	—	2	2	no	—
735	C₄×C₄₃	—	4	1	no	—
736	C₄×C₄₃	—	4	1	no	—
737	C₄×C₄₃	—	4	1	no	—
738	C₄×C₄₃	—	4	1	no	—
739	C₄×C₄₃	—	4	1	no	—
740	C₄×C₄₃	—	4	1	no	—
741	C₄×C₄₃	—	4	1	no	—
742	C₄×C₄₃	—	4	1	no	—
743	C₄×C₄₃	—	4	1	no	—
744	Dic₄₃	—	2	2	no	—
745	Dic₄₃	—	2	2	no	—
746	Dic₄₃	—	2	2	no	—
747	Dic₄₃	—	2	2	no	—
748	Dic₄₃	—	4	1	no	—
749	Dic₄₃	—	4	1	no	—
750	Dic₄₃	—	4	1	no	—
751	Dic₄₃	—	4	1	no	—
752	Dic₄₃	—	4	1	no	—
753	Dic₄₃	—	4	1	no	—
754	Dic₄₃	—	4	1	no	—
755	Dic₄₃	—	4	1	no	—
756	Dic₄₃	—	4	1	no	—
757	Dic₄₃	—	4	1	no	—
758	Dic₄₃	—	4	1	no	—
759	#2852	—	43	1	no	—
760	#2852	—	43	1	no	—
761	#2849	—	43	1	no	—
762	#2849	D₄₃	1	1	yes	characteristic, complemented
763	#2646	—	43	1	no	—
764	#2639	—	43	1	no	—
765	#2626	—	43	1	no	—
766	#2617	—	43	1	no	—
767	#2573	—	43	1	no	—
768	#2573	—	43	1	no	—
769	#2572	—	43	1	no	—
770	#2572	—	43	1	no	—
771	#2554	—	43	1	no	—
772	#2554	—	43	1	no	—
773	#2553	—	43	1	no	—
774	#2553	—	43	1	no	—
775	#2516	—	43	1	no	—
776	#2516	—	43	1	no	—
777	#2515	—	43	1	no	—
778	#2515	—	43	1	no	—
779	#2458	—	43	1	no	—
780	#2458	—	43	1	no	—
781	#2457	—	43	1	no	—
782	#2457	—	43	1	no	—
783	#2321	—	43	1	no	—
784	#2321	—	43	1	no	—
785	#2318	—	43	1	no	—
786	#2318	—	43	1	no	—
787	C₄×C₂²⋊Q₈	—	43	1	no	—
788	C₄×#121	—	43	1	no	—
789	C₂×C₄×C₂²⋊C₄	—	43	1	no	—
790	C₂×C₄₃	—	2	4	no	—
791	C₂×C₄₃	—	4	2	no	—
792	C₂×C₄₃	—	4	2	no	—
793	C₂×C₄₃	—	8	1	no	—
794	C₂×C₄₃	C₂×#529	1	1	yes	characteristic
795	C₂×C₄₃	#3459	1	1	yes	characteristic
796	C₂×C₄₃	#3460	1	1	yes	characteristic
797	C₂×C₄₃	#3490	1	1	yes	characteristic
798	C₂×C₄₃	#3491	1	1	yes	characteristic
799	C₂×C₄₃	#3505	1	1	yes	characteristic
800	C₂×C₄₃	#3506	1	1	yes	characteristic
801	D₄₃	—	8	1	no	—
802	C₂⁴×C₄	C₂×D₄₃	1	1	yes	characteristic
803	C₂×#126	—	43	1	no	—
804	C₂×#126	—	43	1	no	—
805	C₂×#123	—	43	1	no	—
806	C₂×#123	—	43	1	no	—
807	C₂×#123	C₂×D₄₃	1	1	yes	characteristic
808	C₂×#123	C₂×D₄₃	1	1	yes	characteristic
809	C₂×C₂²⋊Q₈	—	43	1	no	—
810	C₂×#121	—	43	1	no	—
811	C₂×#120	—	43	1	no	—
812	C₂×#120	C₂×D₄₃	1	1	yes	characteristic
813	C₂×C₄×Q₈	—	43	1	no	—
814	C₂×C₄×D₄	—	43	1	no	—
815	C₂×C₄×D₄	—	43	1	no	—
816	C₂×C₄×D₄	—	43	1	no	—
817	C₂²×C₂²⋊C₄	—	43	1	no	—
818	C₂²×C₂²⋊C₄	—	43	1	no	—
819	C₂²×C₄²	—	43	1	no	—
820	C₂²×C₄²	—	43	1	no	—
821	#400	—	43	1	no	—
822	#400	—	43	1	no	—
823	#400	—	43	1	no	—
824	#400	—	43	1	no	—
825	#400	—	43	1	no	—
826	#400	—	43	1	no	—
827	#399	—	43	1	no	—
828	#399	—	43	1	no	—
829	#398	—	43	1	no	—
830	#398	—	43	1	no	—
831	#398	—	43	1	no	—
832	#398	—	43	1	no	—
833	#397	—	43	1	no	—
834	#397	—	43	1	no	—
835	#397	—	43	1	no	—
836	#397	—	43	1	no	—
837	#396	—	43	1	no	—
838	#396	—	43	1	no	—
839	#396	—	43	1	no	—
840	#396	—	43	1	no	—
841	#394	—	43	1	no	—
842	#394	—	43	1	no	—
843	#394	—	43	1	no	—
844	#394	—	43	1	no	—
845	#394	—	43	1	no	—
846	#394	—	43	1	no	—
847	#393	—	43	1	no	—
848	#393	—	43	1	no	—
849	#393	—	43	1	no	—
850	#393	—	43	1	no	—
851	#392	—	43	1	no	—
852	#392	—	43	1	no	—
853	#391	—	43	1	no	—
854	#390	—	43	1	no	—
855	#390	—	43	1	no	—
856	#390	—	43	1	no	—
857	#390	—	43	1	no	—
858	#390	—	43	1	no	—
859	#389	—	43	1	no	—
860	#389	—	43	1	no	—
861	#388	—	43	1	no	—
862	#388	—	43	1	no	—
863	#388	—	43	1	no	—
864	#388	—	43	1	no	—
865	#388	—	43	1	no	—
866	#388	—	43	1	no	—
867	#388	—	43	1	no	—
868	#388	—	43	1	no	—
869	#388	—	43	1	no	—
870	#388	—	43	1	no	—
871	#388	—	43	1	no	—
872	#388	—	43	1	no	—
873	#388	—	43	1	no	—
874	#388	—	43	1	no	—
875	#388	—	43	1	no	—
876	#388	—	43	1	no	—
877	#388	—	43	1	no	—
878	#388	—	43	1	no	—
879	#388	—	43	1	no	—
880	#388	—	43	1	no	—
881	#387	—	43	1	no	—
882	#387	—	43	1	no	—
883	#387	—	43	1	no	—
884	#387	—	43	1	no	—
885	#387	—	43	1	no	—
886	#387	—	43	1	no	—
887	#387	—	43	1	no	—
888	#387	—	43	1	no	—
889	#387	—	43	1	no	—
890	#387	—	43	1	no	—
891	#387	—	43	1	no	—
892	#387	—	43	1	no	—
893	#386	—	43	1	no	—
894	#386	—	43	1	no	—
895	#386	—	43	1	no	—
896	#386	—	43	1	no	—
897	#386	—	43	1	no	—
898	#386	—	43	1	no	—
899	#386	—	43	1	no	—
900	#386	—	43	1	no	—
901	#386	—	43	1	no	—
902	#386	—	43	1	no	—
903	#386	—	43	1	no	—
904	#386	—	43	1	no	—
905	#386	C₂×D₄₃	1	1	yes	characteristic
906	#386	C₂×D₄₃	1	1	yes	characteristic
907	#386	C₂×D₄₃	1	1	yes	characteristic
908	#386	C₂×D₄₃	1	1	yes	characteristic
909	#385	—	43	1	no	—
910	#385	—	43	1	no	—
911	#385	—	43	1	no	—
912	#385	—	43	1	no	—
913	#385	—	43	1	no	—
914	#385	—	43	1	no	—
915	#385	—	43	1	no	—
916	#385	—	43	1	no	—
917	#385	C₂×D₄₃	1	1	yes	characteristic
918	#385	C₂×D₄₃	1	1	yes	characteristic
919	#385	C₂×D₄₃	1	1	yes	characteristic
920	#385	C₂×D₄₃	1	1	yes	characteristic
921	#383	—	43	1	no	—
922	#383	—	43	1	no	—
923	#383	—	43	1	no	—
924	#383	—	43	1	no	—
925	#382	—	43	1	no	—
926	#382	—	43	1	no	—
927	#381	—	43	1	no	—
928	#381	—	43	1	no	—
929	#381	—	43	1	no	—
930	#381	—	43	1	no	—
931	#381	C₂×D₄₃	1	1	yes	characteristic
932	#381	C₂×D₄₃	1	1	yes	characteristic
933	#380	—	43	1	no	—
934	#380	—	43	1	no	—
935	#380	—	43	1	no	—
936	#380	—	43	1	no	—
937	#379	—	43	1	no	—
938	#379	C₂×D₄₃	1	1	yes	characteristic
939	C₄×C₄⋊C₄	—	43	1	no	—
940	C₄×C₄⋊C₄	—	43	1	no	—
941	C₄×C₄⋊C₄	—	43	1	no	—
942	C₄×C₄⋊C₄	—	43	1	no	—
943	C₄×C₂²⋊C₄	—	43	1	no	—
944	C₄×C₂²⋊C₄	—	43	1	no	—
945	C₄×C₂²⋊C₄	—	43	1	no	—
946	C₄×C₂²⋊C₄	—	43	1	no	—
947	C₄×C₂²⋊C₄	—	43	1	no	—
948	C₄×C₂²⋊C₄	—	43	1	no	—
949	C₄×C₂²⋊C₄	—	43	1	no	—
950	C₄×C₂²⋊C₄	—	43	1	no	—
951	C₄×C₂²⋊C₄	—	43	1	no	—
952	C₄×C₂²⋊C₄	—	43	1	no	—
953	C₄×C₂²⋊C₄	—	43	1	no	—
954	C₄×C₂²⋊C₄	—	43	1	no	—
955	C₂×#95	—	43	1	no	—
956	C₂×#95	—	43	1	no	—
957	C₄₃	#35022	1	1	yes	characteristic, complemented, Sylow
958	C₂⁵	C₂²×D₄₃	1	1	yes	characteristic
959	C₂²×Q₈	—	43	1	no	—
960	C₂²×D₄	—	43	1	no	—
961	C₂²×D₄	—	43	1	no	—
962	C₂²×D₄	—	43	1	no	—
963	C₂²×D₄	—	43	1	no	—
964	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
965	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
966	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
967	C₂³×C₄	—	2	4	no	—
968	C₂³×C₄	—	4	2	no	—
969	C₂³×C₄	—	4	2	no	—
970	C₂³×C₄	—	43	1	no	—
971	C₂³×C₄	—	43	1	no	—
972	C₂³×C₄	—	43	1	no	—
973	C₂³×C₄	—	43	1	no	—
974	C₂³×C₄	—	43	1	no	—
975	C₂³×C₄	—	43	1	no	—
976	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
977	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
978	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
979	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
980	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
981	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
982	#126	—	172	2	no	—
983	#126	—	172	2	no	—
984	#123	—	4	2	no	—
985	#123	—	4	2	no	—
986	#123	—	172	2	no	—
987	#123	—	172	2	no	—
988	C₂²⋊Q₈	—	86	4	no	—
989	#121	—	86	4	no	—
990	#120	—	2	4	no	—
991	#120	—	86	4	no	—
992	C₄×Q₈	—	172	2	no	—
993	C₄×D₄	—	86	4	no	—
994	C₄×D₄	—	86	4	no	—
995	C₄×D₄	—	172	2	no	—
996	C₂×C₄⋊C₄	—	43	1	no	—
997	C₂×C₄⋊C₄	—	43	1	no	—
998	C₂×C₄⋊C₄	—	43	1	no	—
999	C₂×C₄⋊C₄	—	43	1	no	—
1000	C₂×C₄⋊C₄	—	43	1	no	—
1001	C₂×C₄⋊C₄	—	43	1	no	—
1002	C₂×C₄⋊C₄	—	43	1	no	—
1003	C₂×C₄⋊C₄	—	43	1	no	—
1004	C₂×C₄⋊C₄	—	43	1	no	—
1005	C₂×C₄⋊C₄	—	43	1	no	—
1006	C₂×C₄⋊C₄	—	43	1	no	—
1007	C₂×C₄⋊C₄	—	43	1	no	—
1008	C₂×C₄⋊C₄	—	43	1	no	—
1009	C₂×C₄⋊C₄	—	43	1	no	—
1010	C₂×C₄⋊C₄	—	43	1	no	—
1011	C₂×C₄⋊C₄	—	43	1	no	—
1012	C₂×C₄⋊C₄	—	43	1	no	—
1013	C₂×C₄⋊C₄	—	43	1	no	—
1014	C₂×C₄⋊C₄	—	43	1	no	—
1015	C₂×C₄⋊C₄	—	43	1	no	—
1016	C₂×C₄⋊C₄	—	43	1	no	—
1017	C₂×C₄⋊C₄	—	43	1	no	—
1018	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1019	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1020	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1021	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1022	C₂×C₂²⋊C₄	—	43	1	no	—
1023	C₂×C₂²⋊C₄	—	43	1	no	—
1024	C₂×C₂²⋊C₄	—	43	1	no	—
1025	C₂×C₂²⋊C₄	—	43	1	no	—
1026	C₂×C₂²⋊C₄	—	43	1	no	—
1027	C₂×C₂²⋊C₄	—	43	1	no	—
1028	C₂×C₂²⋊C₄	—	43	1	no	—
1029	C₂×C₂²⋊C₄	—	43	1	no	—
1030	C₂×C₂²⋊C₄	—	43	1	no	—
1031	C₂×C₂²⋊C₄	—	43	1	no	—
1032	C₂×C₂²⋊C₄	—	43	1	no	—
1033	C₂×C₂²⋊C₄	—	43	1	no	—
1034	C₂×C₂²⋊C₄	—	43	1	no	—
1035	C₂×C₂²⋊C₄	—	43	1	no	—
1036	C₂×C₂²⋊C₄	—	43	1	no	—
1037	C₂×C₂²⋊C₄	—	43	1	no	—
1038	C₂×C₂²⋊C₄	—	43	1	no	—
1039	C₂×C₂²⋊C₄	—	43	1	no	—
1040	C₂×C₂²⋊C₄	—	43	1	no	—
1041	C₂×C₂²⋊C₄	—	43	1	no	—
1042	C₂×C₂²⋊C₄	—	43	1	no	—
1043	C₂×C₂²⋊C₄	—	43	1	no	—
1044	C₂×C₂²⋊C₄	—	43	1	no	—
1045	C₂×C₂²⋊C₄	—	43	1	no	—
1046	C₂×C₂²⋊C₄	—	43	1	no	—
1047	C₂×C₂²⋊C₄	—	43	1	no	—
1048	C₂×C₂²⋊C₄	—	43	1	no	—
1049	C₂×C₂²⋊C₄	—	43	1	no	—
1050	C₂×C₂²⋊C₄	—	43	1	no	—
1051	C₂×C₂²⋊C₄	—	43	1	no	—
1052	C₂×C₂²⋊C₄	—	43	1	no	—
1053	C₂×C₂²⋊C₄	—	43	1	no	—
1054	C₂×C₂²⋊C₄	—	43	1	no	—
1055	C₂×C₂²⋊C₄	—	86	4	no	—
1056	C₂×C₂²⋊C₄	—	86	4	no	—
1057	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1058	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1059	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1060	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1061	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1062	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1063	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1064	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1065	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1066	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1067	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1068	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1069	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1070	C₂×C₄²	—	43	1	no	—
1071	C₂×C₄²	—	43	1	no	—
1072	C₂×C₄²	—	43	1	no	—
1073	C₂×C₄²	—	43	1	no	—
1074	C₂×C₄²	—	43	1	no	—
1075	C₂×C₄²	—	43	1	no	—
1076	C₂×C₄²	—	43	1	no	—
1077	C₂×C₄²	—	43	1	no	—
1078	C₂×C₄²	—	43	1	no	—
1079	C₂×C₄²	—	43	1	no	—
1080	C₂×C₄²	—	43	1	no	—
1081	C₂×C₄²	—	43	1	no	—
1082	C₂×C₄²	—	43	1	no	—
1083	C₂×C₄²	—	43	1	no	—
1084	C₂×C₄²	—	172	2	no	—
1085	C₂×C₄²	—	172	2	no	—
1086	#95	—	43	1	no	—
1087	#95	—	43	1	no	—
1088	#95	—	43	1	no	—
1089	#95	—	43	1	no	—
1090	#95	—	43	1	no	—
1091	#95	—	43	1	no	—
1092	#95	—	43	1	no	—
1093	#95	—	43	1	no	—
1094	#95	—	43	1	no	—
1095	#95	—	43	1	no	—
1096	#95	—	43	1	no	—
1097	#95	—	43	1	no	—
1098	#95	—	43	1	no	—
1099	#95	—	43	1	no	—
1100	#95	—	43	1	no	—
1101	#95	—	43	1	no	—
1102	#95	—	43	1	no	—
1103	#95	—	43	1	no	—
1104	#95	—	43	1	no	—
1105	#95	—	43	1	no	—
1106	#95	—	43	1	no	—
1107	#95	—	43	1	no	—
1108	#95	—	43	1	no	—
1109	#95	—	43	1	no	—
1110	#95	—	43	1	no	—
1111	#95	—	43	1	no	—
1112	#95	—	43	1	no	—
1113	#95	—	43	1	no	—
1114	#95	—	43	1	no	—
1115	#95	—	43	1	no	—
1116	#95	—	43	1	no	—
1117	#95	—	43	1	no	—
1118	#95	—	43	1	no	—
1119	#95	—	43	1	no	—
1120	#95	—	43	1	no	—
1121	#95	—	43	1	no	—
1122	#95	—	43	1	no	—
1123	#95	—	43	1	no	—
1124	#95	—	43	1	no	—
1125	#95	—	43	1	no	—
1126	#95	C₂²×D₄₃	1	1	yes	characteristic
1127	#95	C₂²×D₄₃	1	1	yes	characteristic
1128	#95	C₂²×D₄₃	1	1	yes	characteristic
1129	#95	C₂²×D₄₃	1	1	yes	characteristic
1130	#95	C₂²×D₄₃	1	1	yes	characteristic
1131	#95	C₂²×D₄₃	1	1	yes	characteristic
1132	#95	C₂²×D₄₃	1	1	yes	characteristic
1133	#95	C₂²×D₄₃	1	1	yes	characteristic
1134	C₂⁴	—	2	2	no	—
1135	C₂⁴	—	2	2	no	—
1136	C₂⁴	—	4	1	no	—
1137	C₂⁴	—	4	1	no	—
1138	C₂⁴	—	4	1	no	—
1139	C₂⁴	—	4	1	no	—
1140	C₂⁴	—	43	1	no	—
1141	C₂⁴	#10621900	1	4	yes	—
1142	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1143	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1144	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1145	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1146	C₂×Q₈	—	86	2	no	—
1147	C₂×Q₈	—	172	1	no	—
1148	C₂×Q₈	—	172	1	no	—
1149	C₂×D₄	—	2	2	no	—
1150	C₂×D₄	—	2	2	no	—
1151	C₂×D₄	—	2	2	no	—
1152	C₂×D₄	—	2	2	no	—
1153	C₂×D₄	—	2	2	no	—
1154	C₂×D₄	—	4	1	no	—
1155	C₂×D₄	—	4	1	no	—
1156	C₂×D₄	—	4	1	no	—
1157	C₂×D₄	—	4	1	no	—
1158	C₂×D₄	—	86	2	no	—
1159	C₂×D₄	—	86	2	no	—
1160	C₂×D₄	—	86	2	no	—
1161	C₂×D₄	—	86	2	no	—
1162	C₂×D₄	—	86	2	no	—
1163	C₂×D₄	—	86	2	no	—
1164	C₂×D₄	—	172	1	no	—
1165	C₂×D₄	—	172	1	no	—
1166	C₂×D₄	—	172	1	no	—
1167	C₂×D₄	—	172	1	no	—
1168	C₂×D₄	—	172	1	no	—
1169	C₂×D₄	—	172	1	no	—
1170	C₂²×C₄	—	2	2	no	—
1171	C₂²×C₄	—	2	2	no	—
1172	C₂²×C₄	—	2	2	no	—
1173	C₂²×C₄	—	2	2	no	—
1174	C₂²×C₄	—	2	2	no	—
1175	C₂²×C₄	—	2	2	no	—
1176	C₂²×C₄	—	2	2	no	—
1177	C₂²×C₄	—	2	2	no	—
1178	C₂²×C₄	—	2	2	no	—
1179	C₂²×C₄	—	2	2	no	—
1180	C₂²×C₄	—	2	2	no	—
1181	C₂²×C₄	—	2	2	no	—
1182	C₂²×C₄	—	4	1	no	—
1183	C₂²×C₄	—	4	1	no	—
1184	C₂²×C₄	—	4	1	no	—
1185	C₂²×C₄	—	4	1	no	—
1186	C₂²×C₄	—	4	1	no	—
1187	C₂²×C₄	—	4	1	no	—
1188	C₂²×C₄	—	4	16	no	—
1189	C₂²×C₄	—	43	1	no	—
1190	C₂²×C₄	—	43	1	no	—
1191	C₂²×C₄	—	43	1	no	—
1192	C₂²×C₄	—	43	1	no	—
1193	C₂²×C₄	—	43	4	no	—
1194	C₂²×C₄	—	43	4	no	—
1195	C₂²×C₄	—	43	1	no	—
1196	C₂²×C₄	—	43	1	no	—
1197	C₂²×C₄	—	43	1	no	—
1198	C₂²×C₄	—	43	1	no	—
1199	C₂²×C₄	—	43	1	no	—
1200	C₂²×C₄	—	43	1	no	—
1201	C₂²×C₄	—	43	1	no	—
1202	C₂²×C₄	—	43	1	no	—
1203	C₂²×C₄	—	43	1	no	—
1204	C₂²×C₄	—	43	1	no	—
1205	C₂²×C₄	—	43	1	no	—
1206	C₂²×C₄	—	86	2	no	—
1207	C₂²×C₄	—	86	2	no	—
1208	C₂²×C₄	—	86	2	no	—
1209	C₂²×C₄	—	86	2	no	—
1210	C₂²×C₄	—	172	1	no	—
1211	C₂²×C₄	—	172	1	no	—
1212	C₂²×C₄	—	172	1	no	—
1213	C₂²×C₄	—	172	1	no	—
1214	C₂²×C₄	—	172	1	no	—
1215	C₂²×C₄	—	172	1	no	—
1216	C₂²×C₄	—	172	1	no	—
1217	C₂²×C₄	—	172	1	no	—
1218	C₂²×C₄	—	172	1	no	—
1219	C₂²×C₄	—	172	1	no	—
1220	C₂²×C₄	—	172	1	no	—
1221	C₂²×C₄	—	172	1	no	—
1222	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1223	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1224	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1225	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1226	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1227	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1228	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1229	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1230	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1231	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1232	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1233	C₄⋊C₄	—	2	2	no	—
1234	C₄⋊C₄	—	2	2	no	—
1235	C₄⋊C₄	—	4	1	no	—
1236	C₄⋊C₄	—	4	1	no	—
1237	C₄⋊C₄	—	86	2	no	—
1238	C₄⋊C₄	—	86	2	no	—
1239	C₄⋊C₄	—	86	2	no	—
1240	C₄⋊C₄	—	86	2	no	—
1241	C₄⋊C₄	—	86	2	no	—
1242	C₄⋊C₄	—	86	2	no	—
1243	C₄⋊C₄	—	86	2	no	—
1244	C₄⋊C₄	—	86	2	no	—
1245	C₄⋊C₄	—	172	1	no	—
1246	C₄⋊C₄	—	172	1	no	—
1247	C₄⋊C₄	—	172	1	no	—
1248	C₄⋊C₄	—	172	1	no	—
1249	C₄⋊C₄	—	172	1	no	—
1250	C₄⋊C₄	—	172	1	no	—
1251	C₄⋊C₄	—	172	1	no	—
1252	C₄⋊C₄	—	172	1	no	—
1253	C₄⋊C₄	—	172	1	no	—
1254	C₄⋊C₄	—	172	1	no	—
1255	C₄⋊C₄	—	172	1	no	—
1256	C₄⋊C₄	—	172	1	no	—
1257	C₄⋊C₄	—	172	1	no	—
1258	C₄⋊C₄	—	172	1	no	—
1259	C₂²⋊C₄	—	2	2	no	—
1260	C₂²⋊C₄	—	2	2	no	—
1261	C₂²⋊C₄	—	2	2	no	—
1262	C₂²⋊C₄	—	2	2	no	—
1263	C₂²⋊C₄	—	2	2	no	—
1264	C₂²⋊C₄	—	2	2	no	—
1265	C₂²⋊C₄	—	2	2	no	—
1266	C₂²⋊C₄	—	4	1	no	—
1267	C₂²⋊C₄	—	4	1	no	—
1268	C₂²⋊C₄	—	4	1	no	—
1269	C₂²⋊C₄	—	4	1	no	—
1270	C₂²⋊C₄	—	4	1	no	—
1271	C₂²⋊C₄	—	4	1	no	—
1272	C₂²⋊C₄	—	86	2	no	—
1273	C₂²⋊C₄	—	86	2	no	—
1274	C₂²⋊C₄	—	86	2	no	—
1275	C₂²⋊C₄	—	86	2	no	—
1276	C₂²⋊C₄	—	86	2	no	—
1277	C₂²⋊C₄	—	86	2	no	—
1278	C₂²⋊C₄	—	86	2	no	—
1279	C₂²⋊C₄	—	86	2	no	—
1280	C₂²⋊C₄	—	86	2	no	—
1281	C₂²⋊C₄	—	86	2	no	—
1282	C₂²⋊C₄	—	86	2	no	—
1283	C₂²⋊C₄	—	86	2	no	—
1284	C₂²⋊C₄	—	86	2	no	—
1285	C₂²⋊C₄	—	86	2	no	—
1286	C₂²⋊C₄	—	86	2	no	—
1287	C₂²⋊C₄	—	86	2	no	—
1288	C₂²⋊C₄	—	86	2	no	—
1289	C₂²⋊C₄	—	86	2	no	—
1290	C₂²⋊C₄	—	86	2	no	—
1291	C₂²⋊C₄	—	172	1	no	—
1292	C₂²⋊C₄	—	172	1	no	—
1293	C₂²⋊C₄	—	172	1	no	—
1294	C₂²⋊C₄	—	172	1	no	—
1295	C₂²⋊C₄	—	172	1	no	—
1296	C₂²⋊C₄	—	172	1	no	—
1297	C₂²⋊C₄	—	172	1	no	—
1298	C₂²⋊C₄	—	172	1	no	—
1299	C₂²⋊C₄	—	172	1	no	—
1300	C₂²⋊C₄	—	172	1	no	—
1301	C₂²⋊C₄	—	172	1	no	—
1302	C₂²⋊C₄	—	172	1	no	—
1303	C₂²⋊C₄	—	172	1	no	—
1304	C₂²⋊C₄	—	172	1	no	—
1305	C₄²	—	86	2	no	—
1306	C₄²	—	86	2	no	—
1307	C₄²	—	86	2	no	—
1308	C₄²	—	86	2	no	—
1309	C₄²	—	86	2	no	—
1310	C₄²	—	86	2	no	—
1311	C₄²	—	172	1	no	—
1312	C₄²	—	172	1	no	—
1313	C₄²	—	172	1	no	—
1314	C₄²	—	172	1	no	—
1315	C₄²	—	172	1	no	—
1316	C₄²	—	172	1	no	—
1317	C₄²	—	172	1	no	—
1318	C₄²	—	172	1	no	—
1319	C₂³	—	2	1	no	—
1320	C₂³	—	2	1	no	—
1321	C₂³	—	2	1	no	—
1322	C₂³	—	2	1	no	—
1323	C₂³	—	2	8	no	—
1324	C₂³	—	2	1	no	—
1325	C₂³	—	2	1	no	—
1326	C₂³	—	2	1	no	—
1327	C₂³	—	2	1	no	—
1328	C₂³	—	2	1	no	—
1329	C₂³	—	2	1	no	—
1330	C₂³	—	2	1	no	—
1331	C₂³	—	2	1	no	—
1332	C₂³	—	2	1	no	—
1333	C₂³	—	2	1	no	—
1334	C₂³	—	2	1	no	—
1335	C₂³	—	2	1	no	—
1336	C₂³	—	2	1	no	—
1337	C₂³	—	2	1	no	—
1338	C₂³	—	2	1	no	—
1339	C₂³	—	2	1	no	—
1340	C₂³	—	2	1	no	—
1341	C₂³	—	2	1	no	—
1342	C₂³	—	2	1	no	—
1343	C₂³	—	4	4	no	—
1344	C₂³	—	4	4	no	—
1345	C₂³	—	4	4	no	—
1346	C₂³	—	4	4	no	—
1347	C₂³	—	4	4	no	—
1348	C₂³	—	4	4	no	—
1349	C₂³	—	86	1	no	—
1350	C₂³	—	86	1	no	—
1351	C₂³	—	86	1	no	—
1352	C₂³	—	86	1	no	—
1353	C₂³	—	86	1	no	—
1354	C₂³	—	86	1	no	—
1355	C₂³	—	86	1	no	—
1356	C₂³	#41×D₄₃	1	2	yes	—
1357	C₂³	#41×D₄₃	1	2	yes	—
1358	C₂³	C₂×#10621900	1	2	yes	—
1359	C₂³	C₂×#10621900	1	2	yes	—
1360	C₂³	C₂×#10621900	1	2	yes	—
1361	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1362	Q₈	—	172	4	no	—
1363	D₄	—	4	4	no	—
1364	D₄	—	8	2	no	—
1365	D₄	—	8	2	no	—
1366	D₄	—	344	2	no	—
1367	D₄	—	344	2	no	—
1368	D₄	—	172	4	no	—
1369	D₄	—	172	4	no	—
1370	C₂×C₄	—	2	8	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	1	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	1	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	4	4	no	—
1403	C₂×C₄	—	4	4	no	—
1404	C₂×C₄	—	4	4	no	—
1405	C₂×C₄	—	4	4	no	—
1406	C₂×C₄	—	4	4	no	—
1407	C₂×C₄	—	43	2	no	—
1408	C₂×C₄	—	43	2	no	—
1409	C₂×C₄	—	43	2	no	—
1410	C₂×C₄	—	43	2	no	—
1411	C₂×C₄	—	86	1	no	—
1412	C₂×C₄	—	86	1	no	—
1413	C₂×C₄	—	86	1	no	—
1414	C₂×C₄	—	86	1	no	—
1415	C₂×C₄	—	86	1	no	—
1416	C₂×C₄	—	86	1	no	—
1417	C₂×C₄	—	86	1	no	—
1418	C₂×C₄	—	86	1	no	—
1419	C₂×C₄	—	86	1	no	—
1420	C₂×C₄	—	86	1	no	—
1421	C₂×C₄	—	86	1	no	—
1422	C₂×C₄	—	86	1	no	—
1423	C₂×C₄	—	86	1	no	—
1424	C₂×C₄	—	86	1	no	—
1425	C₂×C₄	—	86	1	no	—
1426	C₂×C₄	—	86	1	no	—
1427	C₂×C₄	—	86	1	no	—
1428	C₂×C₄	—	86	1	no	—
1429	C₂×C₄	—	86	1	no	—
1430	C₂×C₄	—	86	1	no	—
1431	C₂×C₄	—	86	1	no	—
1432	C₂×C₄	—	86	1	no	—
1433	C₂×C₄	—	86	1	no	—
1434	C₂×C₄	—	86	1	no	—
1435	C₂×C₄	—	86	1	no	—
1436	C₂×C₄	—	86	1	no	—
1437	C₂×C₄	—	86	1	no	—
1438	C₂×C₄	—	86	1	no	—
1439	C₂×C₄	—	86	1	no	—
1440	C₂×C₄	—	86	1	no	—
1441	C₂×C₄	—	86	1	no	—
1442	C₂×C₄	—	86	1	no	—
1443	C₂×C₄	—	86	1	no	—
1444	C₂×C₄	—	86	1	no	—
1445	C₂×C₄	—	86	1	no	—
1446	C₂×C₄	—	86	1	no	—
1447	C₂×C₄	—	86	1	no	—
1448	C₂×C₄	—	86	1	no	—
1449	C₂×C₄	—	86	1	no	—
1450	C₂×C₄	—	86	1	no	—
1451	C₂×C₄	—	86	1	no	—
1452	C₂×C₄	—	344	2	no	—
1453	C₂×C₄	—	344	2	no	—
1454	C₂×C₄	—	172	4	no	—
1455	C₂×C₄	—	172	4	no	—
1456	C₂×C₄	—	172	4	no	—
1457	C₂×C₄	—	172	4	no	—
1458	C₂×C₄	#13063370	1	2	yes	—
1459	C₂×C₄	#13063370	1	2	yes	—
1460	C₂²	—	2	2	no	—
1461	C₂²	—	2	2	no	—
1462	C₂²	—	2	2	no	—
1463	C₂²	—	2	2	no	—
1464	C₂²	—	2	2	no	—
1465	C₂²	—	2	2	no	—
1466	C₂²	—	2	2	no	—
1467	C₂²	—	2	2	no	—
1468	C₂²	—	2	2	no	—
1469	C₂²	—	2	2	no	—
1470	C₂²	—	2	2	no	—
1471	C₂²	—	2	2	no	—
1472	C₂²	—	4	16	no	—
1473	C₂²	—	4	1	no	—
1474	C₂²	—	4	1	no	—
1475	C₂²	—	4	1	no	—
1476	C₂²	—	4	1	no	—
1477	C₂²	—	4	1	no	—
1478	C₂²	—	4	1	no	—
1479	C₂²	—	4	1	no	—
1480	C₂²	—	4	1	no	—
1481	C₂²	—	4	1	no	—
1482	C₂²	—	4	1	no	—
1483	C₂²	—	4	1	no	—
1484	C₂²	—	4	1	no	—
1485	C₂²	—	4	1	no	—
1486	C₂²	—	4	1	no	—
1487	C₂²	—	4	1	no	—
1488	C₂²	—	172	1	no	—
1489	C₂²	—	172	1	no	—
1490	C₂²	—	172	1	no	—
1491	C₂²	—	172	1	no	—
1492	C₂²	—	172	1	no	—
1493	C₂²	—	172	1	no	—
1494	C₂²	—	172	1	no	—
1495	C₂²	#14583426	1	4	yes	—
1496	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1497	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1498	C₂²	C₂²×#10621900	1	1	yes	characteristic
1499	C₂²	C₂×#13063370	1	1	yes	characteristic
1500	C₂²	C₂×#13063370	1	1	yes	characteristic
1501	C₂²	#14583735	1	1	yes	characteristic
1502	C₂²	#14583735	1	1	yes	characteristic
1503	C₄	—	2	2	no	—
1504	C₄	—	2	2	no	—
1505	C₄	—	4	1	no	—
1506	C₄	—	4	1	no	—
1507	C₄	—	4	1	no	—
1508	C₄	—	4	1	no	—
1509	C₄	—	4	1	no	—
1510	C₄	—	4	1	no	—
1511	C₄	—	4	1	no	—
1512	C₄	—	4	1	no	—
1513	C₄	—	4	1	no	—
1514	C₄	—	86	2	no	—
1515	C₄	—	86	2	no	—
1516	C₄	—	86	2	no	—
1517	C₄	—	86	2	no	—
1518	C₄	—	172	1	no	—
1519	C₄	—	172	1	no	—
1520	C₄	—	172	1	no	—
1521	C₄	—	172	1	no	—
1522	C₄	—	172	1	no	—
1523	C₄	—	172	1	no	—
1524	C₄	—	172	1	no	—
1525	C₄	—	172	1	no	—
1526	C₄	—	172	1	no	—
1527	C₄	—	172	1	no	—
1528	C₄	—	172	1	no	—
1529	C₂	—	2	4	no	—
1530	C₂	—	4	2	no	—
1531	C₂	—	4	2	no	—
1532	C₂	—	8	1	no	—
1533	C₂	—	344	1	no	—
1534	C₂	C₂×#14583426	1	1	yes	characteristic
1535	C₂	#19148002	1	1	yes	characteristic
1536	C₂	#19148013	1	1	yes	characteristic
1537	C₂	#19148282	1	1	yes	characteristic
1538	C₂	#19148291	1	1	yes	characteristic
1539	C₂	#19148423	1	1	yes	characteristic
1540	C₂	#19148438	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂³	C₂⁴×D₄₃
commutator, socle, cosocle	C₂³×C₄₃	C₂⁵
Fitting	C₄₃×#2849	C₂
prime radical	#19140333	C₂
hypercenter	#2849	D₄₃
hypocenter	C₄₃	#35022
LCS	G ▷ C₂³×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ #2849

Complements

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

N	H ≅ G/N	type
1. #19142912	C₂	semidirect
2. #19142908	C₂	semidirect
3. #19142887	C₂	semidirect
4. #19140567	C₂	semidirect
5. #19140525	C₂	semidirect
6. #19140404	C₂	semidirect
8. #19139858	C₂	semidirect
9. #19139850	C₂	semidirect
10. #19139846	C₂	semidirect
11. #19139841	C₂	semidirect
12. #19139659	C₂	semidirect
13. #19139651	C₂	semidirect
14. #19139644	C₂	semidirect
15. #19139636	C₂	semidirect
16. #19139233	C₂	semidirect
17. #19139225	C₂	semidirect
18. #19139218	C₂	semidirect
19. #19139210	C₂	semidirect
20. #19138521	C₂	semidirect
21. #19138513	C₂	semidirect
22. #19138506	C₂	semidirect
23. #19138498	C₂	semidirect
24. #19137256	C₂	semidirect
25. #19137250	C₂	semidirect
26. #19137223	C₂	semidirect
27. #19137221	C₂	semidirect
28. #19137127	C₂	semidirect
29. #19137105	C₂	semidirect
30. C₂×C₄×C₂²⋊Dic₄₃	C₂	semidirect
31. C₄₃×#2849	C₂	semidirect
32. C₂×#13063320	C₂²	semidirect
33. C₂×#13063318	C₂²	semidirect
39. C₂×#13063290	C₂²	semidirect
42. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
47. #14582841	C₂²	semidirect
48. #14582840	C₂²	semidirect
49. #14582840	C₂²	semidirect
50. #14582840	C₂²	semidirect
51. #14582839	C₂²	semidirect
52. #14582837	C₂²	semidirect
55. #14582833	C₂²	semidirect
56. #14582832	C₂²	semidirect
57. #14582830	C₂²	semidirect
58. #14582829	C₂²	semidirect
59. #14582828	C₂²	semidirect
62. #14582827	C₂²	semidirect
67. #14582815	C₂²	semidirect
70. #14582814	C₂²	semidirect
73. #14582812	C₂²	semidirect
76. #14582811	C₂²	semidirect
79. #14582803	C₂²	semidirect
84. #14582799	C₂²	semidirect
85. #14582796	C₂²	semidirect
86. #14582794	C₂²	semidirect
89. #14582793	C₂²	semidirect
90. #14582793	C₂²	semidirect
95. #14582792	C₂²	semidirect
96. #14582791	C₂²	semidirect
97. #14582791	C₂²	semidirect
98. #14582791	C₂²	semidirect
99. #14582789	C₂²	semidirect
100. #14582789	C₂²	semidirect
101. #14582788	C₂²	semidirect
104. #14582787	C₂²	semidirect
105. #14582787	C₂²	semidirect
106. #14582787	C₂²	semidirect
107. #14582786	C₂²	semidirect
108. #14582786	C₂²	semidirect
109. #14582785	C₂²	semidirect
110. #14582784	C₂²	semidirect
111. #14582784	C₂²	semidirect
112. #14582784	C₂²	semidirect
113. #14582782	C₂²	semidirect
114. #14582782	C₂²	semidirect
115. #14582781	C₂²	semidirect
116. #14582780	C₂²	semidirect
117. #14582780	C₂²	semidirect
118. #14582780	C₂²	semidirect
139. #14582766	C₂²	semidirect
140. #14582766	C₂²	semidirect
141. #14582766	C₂²	semidirect
142. #14582766	C₂²	semidirect
143. #14582764	C₂²	semidirect
144. #14582763	C₂²	semidirect
147. #14582761	C₂²	semidirect
148. #14582760	C₂²	semidirect
151. #14582757	C₂²	semidirect
152. #14582756	C₂²	semidirect
154. C₄⋊C₄×Dic₄₃	C₂²	semidirect
155. #14582750	C₂²	semidirect
156. #14582750	C₂²	semidirect
157. #14582750	C₂²	semidirect
160. C₂²⋊C₄×Dic₄₃	C₂²	semidirect
169. #14582746	C₂²	semidirect
762. #2849	D₄₃	semidirect
957. C₄₃	#35022	semidirect

Maximal subgroups

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

subgroup	index
#19142912	2
#19142908	2
#19142887	2
#19140567	2
#19140525	2
#19140404	2
#19140333	2
#19139858	2
#19139850	2
#19139846	2
#19139841	2
#19139659	2
#19139651	2
#19139644	2
#19139636	2
#19139233	2
#19139225	2
#19139218	2
#19139210	2
#19138521	2
#19138513	2
#19138506	2
#19138498	2
#19137256	2
#19137250	2
#19137223	2
#19137221	2
#19137127	2
#19137105	2
C₂×C₄×C₂²⋊Dic₄₃	2
C₄₃×#2849	2
#35022	43