Subgroups — C₂×#19148621 #26004582

Order 11008.

8774 conjugacy classes of subgroups.

The subgroup lattice has 1472 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148621	C₂	1	32	yes	maximal, direct product factor
2	C₂×#14583613	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#14583604	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#14583597	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#14583596	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#14583592	C₂	1	2	yes	maximal, complemented
7	C₂×#14583567	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#14583546	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#14583543	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#14583543	C₂	1	2	yes	maximal, complemented
11	C₂×#14583538	C₂	1	2	yes	maximal, complemented
12	C₂×D₄×C₂²⋊D₄₃	C₂	1	2	yes	maximal, complemented
13	C₂×D₄×C₂²⋊D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#14583499	C₂	1	2	yes	maximal, complemented
15	C₂×#14583487	C₂	1	2	yes	maximal, complemented
16	C₂×#14583481	C₂	1	2	yes	maximal, complemented
17	C₂×#14583444	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#14583430	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#14583410	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#14583409	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂×#121×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#14583372	C₂	1	2	yes	maximal, complemented
23	C₂²×C₄×C₂²⋊D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#121×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#10621898	C₂²	1	1	yes	characteristic, complemented
26	C₂²×#10621900	C₂²	1	2	yes	complemented
27	C₂²×#10621900	C₂²	1	1	yes	characteristic, complemented
28	C₂³×C₂²⋊D₄₃	C₂²	1	2	yes	—
29	C₂³×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
30	C₂²×D₄×D₄₃	C₂²	1	2	yes	complemented
31	C₂²×D₄×D₄₃	C₂²	1	1	yes	characteristic, complemented
32	C₂³×C₄×D₄₃	C₂²	1	1	yes	characteristic, complemented
33	#14583613	C₂²	1	16	yes	complemented
34	#14583604	C₂²	1	16	yes	complemented
35	#14583597	C₂²	1	16	yes	complemented
36	#14583596	C₂²	1	16	yes	complemented
37	#14583592	C₂²	1	32	yes	complemented
38	#14583567	C₂²	1	16	yes	complemented
39	#14583546	C₂²	1	16	yes	complemented
40	#14583543	C₂²	1	32	yes	complemented
41	#14583543	C₂²	1	16	yes	complemented
42	#14583538	C₂²	1	32	yes	complemented
43	D₄×C₂²⋊D₄₃	C₂²	1	16	yes	complemented
44	D₄×C₂²⋊D₄₃	C₂²	1	32	yes	complemented
45	#14583499	C₂²	1	32	yes	complemented
46	#14583487	C₂²	1	32	yes	complemented
47	#14583481	C₂²	1	32	yes	complemented
48	#14583444	C₂²	1	16	yes	complemented
49	C₂×#13063324	C₂²	1	1	yes	characteristic, complemented
50	C₂×#13063321	C₂²	1	1	yes	characteristic, complemented
51	C₂×#13063321	C₂²	1	2	yes	complemented
52	#14583430	C₂²	1	16	yes	complemented
53	C₂×#13063320	C₂²	1	2	yes	complemented
54	C₂×#13063318	C₂²	1	2	yes	complemented
55	C₂×#13063318	C₂²	1	2	yes	complemented
56	C₂×#13063316	C₂²	1	1	yes	characteristic, complemented
57	C₂×#13063315	C₂²	1	2	yes	complemented
58	C₂×#13063312	C₂²	1	1	yes	characteristic, complemented
59	C₂×#13063312	C₂²	1	2	yes	complemented
60	C₂×#13063311	C₂²	1	2	yes	complemented
61	C₂×#13063311	C₂²	1	2	yes	complemented
62	#14583410	C₂²	1	16	yes	complemented
63	#14583409	C₂²	1	16	yes	complemented
64	C₂×#13063310	C₂²	1	2	yes	complemented
65	C₂×#13063308	C₂²	1	2	yes	complemented
66	C₂×#13063307	C₂²	1	2	yes	complemented
67	C₂×#13063307	C₂²	1	2	yes	complemented
68	C₂×#13063306	C₂²	1	2	yes	complemented
69	C₂×#13063306	C₂²	1	2	yes	complemented
70	C₂×#13063306	C₂²	1	2	yes	complemented
71	C₂×#13063305	C₂²	1	1	yes	characteristic, complemented
72	C₂×#13063304	C₂²	1	1	yes	characteristic, complemented
73	C₂×#13063304	C₂²	1	2	yes	complemented
74	C₂×#13063304	C₂²	1	1	yes	characteristic, complemented
75	C₂×#13063303	C₂²	1	2	yes	complemented
76	C₂×#13063300	C₂²	1	1	yes	characteristic, complemented
77	C₂×#13063299	C₂²	1	1	yes	characteristic, complemented
78	C₂×#13063299	C₂²	1	2	yes	complemented
79	C₂×#13063299	C₂²	1	1	yes	characteristic, complemented
80	C₂×#13063298	C₂²	1	2	yes	complemented
81	C₂×#13063298	C₂²	1	2	yes	complemented
82	C₂×#13063297	C₂²	1	2	yes	complemented
83	C₂×#13063297	C₂²	1	2	yes	complemented
84	C₂×#13063297	C₂²	1	2	yes	complemented
85	C₂×#13063297	C₂²	1	2	yes	complemented
86	C₂×#13063297	C₂²	1	2	yes	complemented
87	C₂×#13063297	C₂²	1	2	yes	complemented
88	C₂×#13063296	C₂²	1	1	yes	characteristic, complemented
89	C₂×#13063296	C₂²	1	2	yes	complemented
90	C₂×#13063296	C₂²	1	2	yes	complemented
91	C₂×#13063296	C₂²	1	1	yes	characteristic, complemented
92	#121×D₄₃	C₂²	1	16	yes	complemented
93	C₂×#13063294	C₂²	1	2	yes	complemented
94	C₂×#13063294	C₂²	1	2	yes	complemented
95	C₂×#13063294	C₂²	1	2	yes	complemented
96	C₂×#13063293	C₂²	1	2	yes	complemented
97	C₂×#13063293	C₂²	1	2	yes	complemented
98	C₂×#13063293	C₂²	1	2	yes	complemented
99	#14583372	C₂²	1	32	yes	complemented
100	C₂×#13063290	C₂²	1	1	yes	characteristic, complemented
101	C₂×D₄×Dic₄₃	C₂²	1	2	yes	complemented
102	C₂×D₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
103	C₂×D₄×Dic₄₃	C₂²	1	2	yes	complemented
104	C₂×D₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
105	C₂×#13063287	C₂²	1	1	yes	characteristic, complemented
106	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	—
107	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
108	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
109	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
110	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
111	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
112	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic, complemented
113	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic, complemented
114	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic, complemented
115	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic, complemented
116	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic, complemented
117	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic, complemented
118	C₂×C₄×C₂²⋊D₄₃	C₂²	1	16	yes	complemented
119	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
120	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
121	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
122	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
123	C₂×#13063284	C₂²	1	1	yes	characteristic, complemented
124	C₂×#13063283	C₂²	1	1	yes	characteristic, complemented
125	C₂×#13063281	C₂²	1	2	yes	complemented
126	C₂×#13063281	C₂²	1	2	yes	complemented
127	C₂²×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
128	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic, complemented
129	C₂²×C₂²⋊Dic₄₃	C₂²	1	2	yes	complemented
130	C₂²×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
131	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
132	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	complemented
133	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	complemented
134	C₂²×C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
135	C₂³×D₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
136	C₂³×D₄×C₄₃	C₂²	1	2	yes	complemented
137	C₂⁴×C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
138	C₂×#121×C₄₃	C₂²	1	1	yes	characteristic
139	C₂×#121×C₄₃	C₂²	1	2	yes	complemented
140	C₂×#121×C₄₃	C₂²	1	1	yes	characteristic, complemented
141	C₂×#121×C₄₃	C₂²	1	1	yes	characteristic, complemented
142	C₂×#121×C₄₃	C₂²	1	1	yes	characteristic, complemented
143	C₂×#121×C₄₃	C₂²	1	2	yes	complemented
144	C₂×#121×C₄₃	C₂²	1	16	yes	complemented
145	C₂²×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
146	C₂²×C₂²⋊C₄×C₄₃	C₂²	1	2	yes	complemented
147	C₂⁴×D₄₃	C₂³	1	1	yes	characteristic
148	C₂⁴×D₄₃	C₂³	1	2	yes	—
149	C₂×#10621898	—	4	4	no	—
150	C₂×#10621898	C₂³	1	8	yes	complemented
151	C₂×#10621900	—	4	4	no	—
152	C₂×#10621900	—	4	8	no	—
153	C₂×#10621900	C₂³	1	8	yes	complemented
154	C₂×#10621900	C₂³	1	16	yes	complemented
155	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
156	C₂²×Dic₈₆	C₂³	1	2	yes	—
157	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
158	C₂²×D₁₇₂	C₂³	1	2	yes	—
159	C₂²×C₂²⋊D₄₃	—	2	8	no	—
160	C₂²×C₂²⋊D₄₃	—	2	16	no	—
161	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
162	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
163	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
164	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
165	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
166	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
167	C₂²×C₂²⋊D₄₃	C₂³	1	8	yes	—
168	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
169	C₂²×C₂²⋊D₄₃	C₂³	1	16	yes	—
170	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
171	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
172	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
173	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
174	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
175	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
176	C₂×D₄×D₄₃	—	4	4	no	—
177	C₂×D₄×D₄₃	—	4	8	no	—
178	C₂×D₄×D₄₃	C₂³	1	16	yes	complemented
179	C₂×D₄×D₄₃	C₂³	1	8	yes	complemented
180	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
181	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
182	C₂³×Dic₄₃	C₂³	1	2	yes	—
183	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
184	C₂³×Dic₄₃	C₂³	1	2	yes	—
185	C₂³×Dic₄₃	C₂³	1	2	yes	—
186	C₂²×C₄×D₄₃	—	4	4	no	—
187	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
188	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
191	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
192	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
193	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
194	C₂²×C₄×D₄₃	C₂³	1	8	yes	complemented
195	#13063324	C₂³	1	8	yes	complemented
196	#13063321	C₂³	1	8	yes	complemented
197	#13063321	C₂³	1	16	yes	complemented
198	#13063320	C₂³	1	16	yes	complemented
199	#13063318	C₂³	1	16	yes	complemented
200	#13063318	C₂³	1	16	yes	complemented
201	#13063316	C₂³	1	8	yes	complemented
202	#13063315	C₂³	1	16	yes	complemented
203	#13063312	C₂³	1	16	yes	complemented
204	#13063312	C₂³	1	8	yes	complemented
205	#13063311	C₂³	1	16	yes	complemented
206	#13063311	C₂³	1	16	yes	complemented
207	#13063310	C₂³	1	16	yes	complemented
208	#13063308	C₂³	1	16	yes	complemented
209	#13063307	C₂³	1	16	yes	complemented
210	#13063307	C₂³	1	16	yes	complemented
211	#13063306	C₂³	1	16	yes	complemented
212	#13063306	C₂³	1	16	yes	complemented
213	#13063306	C₂³	1	16	yes	complemented
214	#13063305	C₂³	1	8	yes	complemented
215	#13063304	C₂³	1	8	yes	complemented
216	#13063304	C₂³	1	16	yes	complemented
217	#13063304	C₂³	1	8	yes	complemented
218	#13063303	C₂³	1	16	yes	complemented
219	#13063300	C₂³	1	8	yes	complemented
220	#13063299	C₂³	1	8	yes	complemented
221	#13063299	C₂³	1	16	yes	complemented
222	#13063299	C₂³	1	8	yes	complemented
223	#13063298	C₂³	1	16	yes	complemented
224	#13063298	C₂³	1	16	yes	complemented
225	#13063297	C₂³	1	16	yes	complemented
226	#13063297	C₂³	1	16	yes	complemented
227	#13063297	C₂³	1	16	yes	complemented
228	#13063297	C₂³	1	16	yes	complemented
229	#13063297	C₂³	1	16	yes	complemented
230	#13063297	C₂³	1	16	yes	complemented
231	#13063296	C₂³	1	8	yes	complemented
232	#13063296	C₂³	1	16	yes	complemented
233	#13063296	C₂³	1	8	yes	complemented
234	#13063296	C₂³	1	16	yes	complemented
235	#13063294	C₂³	1	16	yes	complemented
236	#13063294	C₂³	1	16	yes	complemented
237	#13063294	C₂³	1	16	yes	complemented
238	#13063293	C₂³	1	16	yes	complemented
239	#13063293	C₂³	1	16	yes	complemented
240	#13063293	C₂³	1	16	yes	complemented
241	#13063290	C₂³	1	8	yes	complemented
242	D₄×Dic₄₃	C₂³	1	16	yes	complemented
243	D₄×Dic₄₃	C₂³	1	16	yes	complemented
244	D₄×Dic₄₃	C₂³	1	8	yes	complemented
245	D₄×Dic₄₃	C₂³	1	8	yes	complemented
246	#13063287	C₂³	1	8	yes	complemented
247	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
248	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	—
249	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
250	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
251	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
252	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
253	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
254	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
255	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
256	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
257	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
258	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
259	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
260	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
261	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
262	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
263	#13063284	C₂³	1	8	yes	complemented
264	#13063283	C₂³	1	8	yes	complemented
265	#13063281	C₂³	1	16	yes	complemented
266	#13063281	C₂³	1	16	yes	complemented
267	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
270	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
271	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
272	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
277	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
278	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
279	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
280	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
281	C₂×Dic₄₃⋊C₄	C₂³	1	8	yes	complemented
282	C₄⋊C₄×D₄₃	C₂³	1	8	yes	complemented
283	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
284	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
285	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
286	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
287	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
288	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
289	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
290	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
291	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
292	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
293	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
294	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
295	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
296	C₂×C₂²⋊Dic₄₃	C₂³	1	8	yes	complemented
297	C₂×C₂²⋊Dic₄₃	C₂³	1	16	yes	complemented
298	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
300	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
301	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
302	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
306	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
307	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
308	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	8	yes	complemented
309	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	complemented
310	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	complemented
311	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
313	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
315	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
316	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
317	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
318	C₂×C₄×Dic₄₃	C₂³	1	8	yes	complemented
319	C₂⁵×C₄₃	C₂³	1	1	yes	characteristic
320	C₂⁵×C₄₃	C₂³	1	2	yes	—
321	C₂²×D₄×C₄₃	—	4	4	no	—
322	C₂²×D₄×C₄₃	—	4	8	no	—
323	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
324	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
325	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
326	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
327	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
328	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
329	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
330	C₂²×D₄×C₄₃	C₂³	1	8	yes	complemented
331	C₂²×D₄×C₄₃	C₂³	1	16	yes	complemented
332	C₂³×C₄×C₄₃	—	4	4	no	—
333	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
334	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
335	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
336	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
337	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
338	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
339	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
340	C₂³×C₄×C₄₃	C₂³	1	8	yes	complemented
341	#121×C₄₃	C₂³	1	8	yes	—
342	#121×C₄₃	C₂³	1	8	yes	complemented
343	#121×C₄₃	C₂³	1	16	yes	complemented
344	#121×C₄₃	C₂³	1	8	yes	complemented
345	#121×C₄₃	C₂³	1	8	yes	complemented
346	#121×C₄₃	C₂³	1	16	yes	complemented
347	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
348	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
349	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
350	C₂×C₄⋊C₄×C₄₃	C₂³	1	8	yes	complemented
351	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
352	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
353	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
354	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
355	C₂×C₂²⋊C₄×C₄₃	C₂³	1	16	yes	complemented
356	C₂⁴×C₄₃	—	2	4	no	—
357	C₂⁴×C₄₃	—	2	4	no	—
358	C₂⁴×C₄₃	—	2	8	no	—
359	C₂⁴×C₄₃	—	4	2	no	—
360	C₂⁴×C₄₃	—	4	4	no	—
361	C₂⁴×C₄₃	—	4	4	no	—
362	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
363	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
364	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
365	C₂⁴×C₄₃	C₂⁴	1	4	yes	—
366	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
367	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
368	C₂⁴×C₄₃	C₂⁴	1	8	yes	—
369	C₂³×D₄₃	—	2	4	no	—
370	C₂³×D₄₃	—	2	4	no	—
371	C₂³×D₄₃	—	2	8	no	—
372	C₂³×D₄₃	—	4	2	no	—
373	C₂³×D₄₃	—	4	4	no	—
374	C₂³×D₄₃	—	4	4	no	—
375	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
376	C₂³×D₄₃	C₂⁴	1	2	yes	—
377	C₂³×D₄₃	C₂⁴	1	4	yes	—
378	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
379	C₂³×D₄₃	C₂⁴	1	8	yes	—
380	C₂×D₄×C₄₃	—	2	4	no	—
381	C₂×D₄×C₄₃	—	2	4	no	—
382	C₂×D₄×C₄₃	—	2	8	no	—
383	C₂×D₄×C₄₃	—	2	8	no	—
384	C₂×D₄×C₄₃	—	4	4	no	—
385	C₂×D₄×C₄₃	—	4	4	no	—
386	C₂×D₄×C₄₃	—	4	4	no	—
387	C₂×D₄×C₄₃	—	4	32	no	—
388	C₂×D₄×C₄₃	—	4	16	no	—
389	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
390	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
391	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
392	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
393	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
394	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
395	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
396	C₂²×C₄×C₄₃	—	2	4	no	—
397	C₂²×C₄×C₄₃	—	2	4	no	—
398	C₂²×C₄×C₄₃	—	2	4	no	—
399	C₂²×C₄×C₄₃	—	4	2	no	—
400	C₂²×C₄×C₄₃	—	4	2	no	—
401	C₂²×C₄×C₄₃	—	4	2	no	—
402	C₂²×C₄×C₄₃	—	4	4	no	—
403	C₂²×C₄×C₄₃	—	4	16	no	—
404	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
407	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
408	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
410	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
411	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
412	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
413	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
414	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
415	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
416	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
417	C₂×C₂²⋊D₄₃	—	2	32	no	—
418	C₂×C₂²⋊D₄₃	—	2	64	no	—
419	C₂×C₂²⋊D₄₃	—	2	8	no	—
420	C₂×C₂²⋊D₄₃	—	2	4	no	—
421	C₂×C₂²⋊D₄₃	—	2	4	no	—
422	C₂×C₂²⋊D₄₃	—	2	8	no	—
423	C₂×C₂²⋊D₄₃	—	2	8	no	—
424	C₂×C₂²⋊D₄₃	—	2	8	no	—
425	C₂×C₂²⋊D₄₃	—	2	4	no	—
426	C₂×C₂²⋊D₄₃	—	4	4	no	—
427	C₂×C₂²⋊D₄₃	—	4	4	no	—
428	C₂×C₂²⋊D₄₃	—	4	4	no	—
429	C₂×C₂²⋊D₄₃	—	4	4	no	—
430	C₂×C₂²⋊D₄₃	—	4	4	no	—
431	C₂×C₂²⋊D₄₃	#41	1	8	yes	complemented
432	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
433	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
434	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
435	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
436	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
437	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
438	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
439	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
440	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
441	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
442	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
443	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
444	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
445	C₂²×Dic₄₃	—	2	4	no	—
446	C₂²×Dic₄₃	—	2	8	no	—
447	C₂²×Dic₄₃	—	2	4	no	—
448	C₂²×Dic₄₃	—	4	2	no	—
449	C₂²×Dic₄₃	—	4	4	no	—
450	C₂²×Dic₄₃	—	4	4	no	—
451	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
452	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
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	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
457	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
458	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
459	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
460	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
461	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
462	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
463	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
464	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
465	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
466	#10621900	—	4	16	no	—
467	#10621900	—	4	32	no	—
468	D₄×D₄₃	—	4	32	no	—
469	D₄×D₄₃	—	4	16	no	—
470	#10621898	—	4	16	no	—
471	C₂×D₁₇₂	—	2	4	no	—
472	C₂×D₁₇₂	—	4	4	no	—
473	C₂×D₁₇₂	C₂⁴	1	4	yes	—
474	C₂×D₁₇₂	C₂⁴	1	8	yes	—
475	C₂×C₄×D₄₃	—	2	4	no	—
476	C₂×C₄×D₄₃	—	2	4	no	—
477	C₂×C₄×D₄₃	—	4	2	no	—
478	C₂×C₄×D₄₃	—	4	2	no	—
479	C₂×C₄×D₄₃	—	4	4	no	—
480	C₂×C₄×D₄₃	—	4	4	no	—
481	C₂×C₄×D₄₃	—	4	4	no	—
482	C₂×C₄×D₄₃	—	4	16	no	—
483	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
484	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
485	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
486	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
487	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
488	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
489	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
490	C₂×Dic₈₆	—	2	4	no	—
491	C₂×Dic₈₆	—	4	4	no	—
492	C₂×Dic₈₆	C₂⁴	1	4	yes	—
493	C₂×Dic₈₆	C₂⁴	1	8	yes	—
494	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
495	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
496	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
497	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
498	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
499	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
500	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
501	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
502	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
503	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
504	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
505	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
506	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
507	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
508	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
509	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
510	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
511	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
512	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
513	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
514	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
515	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
516	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
517	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
518	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
519	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
520	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
521	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
522	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
523	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
524	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
525	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
526	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
527	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
528	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
529	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
530	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
531	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
532	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
533	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
534	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
535	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
536	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
537	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
538	C₄×Dic₄₃	C₂⁴	1	4	yes	—
539	C₄×Dic₄₃	C₂⁴	1	4	yes	—
540	C₄×Dic₄₃	C₂⁴	1	4	yes	—
541	C₄×Dic₄₃	C₂⁴	1	4	yes	—
542	C₄×Dic₄₃	C₂⁴	1	8	yes	—
543	C₄×Dic₄₃	C₂⁴	1	8	yes	—
544	C₄×Dic₄₃	C₂⁴	1	8	yes	—
545	C₂³×C₄₃	—	2	2	no	—
546	C₂³×C₄₃	—	2	2	no	—
547	C₂³×C₄₃	—	2	2	no	—
548	C₂³×C₄₃	—	2	2	no	—
549	C₂³×C₄₃	—	2	4	no	—
550	C₂³×C₄₃	—	2	8	no	—
551	C₂³×C₄₃	—	2	2	no	—
552	C₂³×C₄₃	—	2	4	no	—
553	C₂³×C₄₃	—	2	4	no	—
554	C₂³×C₄₃	—	2	4	no	—
555	C₂³×C₄₃	—	2	2	no	—
556	C₂³×C₄₃	—	2	4	no	—
557	C₂³×C₄₃	—	2	4	no	—
558	C₂³×C₄₃	—	2	8	no	—
559	C₂³×C₄₃	—	2	2	no	—
560	C₂³×C₄₃	—	2	16	no	—
561	C₂³×C₄₃	—	4	4	no	—
562	C₂³×C₄₃	—	4	8	no	—
563	C₂³×C₄₃	—	4	8	no	—
564	C₂³×C₄₃	—	4	16	no	—
565	C₂³×C₄₃	—	8	16	no	—
566	C₂³×C₄₃	C₂×#41	1	4	yes	—
567	C₂³×C₄₃	H(5,𝔽₂)	1	4	yes	—
568	C₂³×C₄₃	C₂⁵	1	4	yes	—
569	C₂³×C₄₃	C₂⁵	1	2	yes	—
570	C₂³×C₄₃	C₂⁵	1	4	yes	—
571	C₂³×C₄₃	C₂⁵	1	2	yes	—
572	C₂³×C₄₃	C₂⁵	1	2	yes	—
573	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
574	C₂²×D₄₃	—	2	2	no	—
575	C₂²×D₄₃	—	2	2	no	—
576	C₂²×D₄₃	—	2	2	no	—
577	C₂²×D₄₃	—	2	4	no	—
578	C₂²×D₄₃	—	2	2	no	—
579	C₂²×D₄₃	—	2	4	no	—
580	C₂²×D₄₃	—	2	4	no	—
581	C₂²×D₄₃	—	2	2	no	—
582	C₂²×D₄₃	—	2	8	no	—
583	C₂²×D₄₃	—	2	8	no	—
584	C₂²×D₄₃	—	2	16	no	—
585	C₂²×D₄₃	—	4	4	no	—
586	C₂²×D₄₃	—	4	8	no	—
587	C₂²×D₄₃	—	4	8	no	—
588	C₂²×D₄₃	—	4	16	no	—
589	C₂²×D₄₃	—	8	16	no	—
590	C₂²×D₄₃	C₂×#41	1	4	yes	—
591	C₂²×D₄₃	C₂⁵	1	2	yes	—
592	C₂²×D₄₃	C₂⁵	1	4	yes	—
593	C₂²×D₄₃	C₂⁵	1	2	yes	—
594	D₄×C₄₃	—	2	16	no	—
595	D₄×C₄₃	—	2	16	no	—
596	D₄×C₄₃	—	2	8	no	—
597	D₄×C₄₃	—	2	8	no	—
598	D₄×C₄₃	—	4	8	no	—
599	D₄×C₄₃	—	4	8	no	—
600	D₄×C₄₃	—	4	8	no	—
601	C₂×C₄×C₄₃	—	2	4	no	—
602	C₂×C₄×C₄₃	—	2	2	no	—
603	C₂×C₄×C₄₃	—	2	2	no	—
604	C₂×C₄×C₄₃	—	2	4	no	—
605	C₂×C₄×C₄₃	—	2	2	no	—
606	C₂×C₄×C₄₃	—	2	8	no	—
607	C₂×C₄×C₄₃	—	2	8	no	—
608	C₂×C₄×C₄₃	—	2	8	no	—
609	C₂×C₄×C₄₃	—	4	4	no	—
610	C₂×C₄×C₄₃	—	4	4	no	—
611	C₂×C₄×C₄₃	—	4	4	no	—
612	C₂×C₄×C₄₃	—	4	8	no	—
613	C₂×C₄×C₄₃	H(5,𝔽₂)	1	4	yes	—
614	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
615	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
616	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
617	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
618	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
619	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
620	C₂²⋊D₄₃	—	2	8	no	—
621	C₂²⋊D₄₃	—	2	16	no	—
622	C₂²⋊D₄₃	—	2	16	no	—
623	C₂²⋊D₄₃	—	2	16	no	—
624	C₂²⋊D₄₃	—	2	8	no	—
625	C₂²⋊D₄₃	—	2	16	no	—
626	C₂²⋊D₄₃	—	2	8	no	—
627	C₂²⋊D₄₃	—	4	8	no	—
628	C₂²⋊D₄₃	—	4	8	no	—
629	C₂²⋊D₄₃	—	4	8	no	—
630	C₂²⋊D₄₃	—	4	8	no	—
631	C₂²⋊D₄₃	—	4	8	no	—
632	C₂²⋊D₄₃	C₂×#41	1	16	yes	complemented
633	C₂×Dic₄₃	—	2	2	no	—
634	C₂×Dic₄₃	—	2	4	no	—
635	C₂×Dic₄₃	—	2	4	no	—
636	C₂×Dic₄₃	—	2	2	no	—
637	C₂×Dic₄₃	—	2	4	no	—
638	C₂×Dic₄₃	—	2	2	no	—
639	C₂×Dic₄₃	—	2	2	no	—
640	C₂×Dic₄₃	—	2	2	no	—
641	C₂×Dic₄₃	—	2	8	no	—
642	C₂×Dic₄₃	—	2	8	no	—
643	C₂×Dic₄₃	—	2	16	no	—
644	C₂×Dic₄₃	—	4	4	no	—
645	C₂×Dic₄₃	—	4	8	no	—
646	C₂×Dic₄₃	—	4	8	no	—
647	C₂×Dic₄₃	C₂×#41	1	4	yes	—
648	C₂×Dic₄₃	C₂⁵	1	2	yes	—
649	C₂×Dic₄₃	C₂⁵	1	4	yes	—
650	C₂×Dic₄₃	C₂⁵	1	2	yes	—
651	C₂×Dic₄₃	C₂⁵	1	2	yes	—
652	C₂×Dic₄₃	C₂⁵	1	2	yes	—
653	C₂×Dic₄₃	C₂⁵	1	4	yes	—
654	C₂×Dic₄₃	C₂⁵	1	4	yes	—
655	C₂×Dic₄₃	C₂⁵	1	2	yes	—
656	C₂×Dic₄₃	C₂⁵	1	2	yes	—
657	D₁₇₂	—	2	8	no	—
658	D₁₇₂	—	4	8	no	—
659	C₄×D₄₃	—	2	8	no	—
660	C₄×D₄₃	—	2	8	no	—
661	C₄×D₄₃	—	4	4	no	—
662	C₄×D₄₃	—	4	4	no	—
663	C₄×D₄₃	—	4	8	no	—
664	C₄×D₄₃	—	4	8	no	—
665	C₄×D₄₃	—	4	8	no	—
666	Dic₈₆	—	2	8	no	—
667	Dic₈₆	—	4	8	no	—
668	C₂×#3519	—	43	1	no	maximal, Sylow
669	C₂²×C₄₃	—	2	2	no	—
670	C₂²×C₄₃	—	2	2	no	—
671	C₂²×C₄₃	—	2	2	no	—
672	C₂²×C₄₃	—	2	2	no	—
673	C₂²×C₄₃	—	2	8	no	—
674	C₂²×C₄₃	—	2	8	no	—
675	C₂²×C₄₃	—	2	4	no	—
676	C₂²×C₄₃	—	2	2	no	—
677	C₂²×C₄₃	—	2	4	no	—
678	C₂²×C₄₃	—	2	4	no	—
679	C₂²×C₄₃	—	2	4	no	—
680	C₂²×C₄₃	—	2	2	no	—
681	C₂²×C₄₃	—	2	4	no	—
682	C₂²×C₄₃	—	2	4	no	—
683	C₂²×C₄₃	—	2	2	no	—
684	C₂²×C₄₃	—	4	16	no	—
685	C₂²×C₄₃	—	4	8	no	—
686	C₂²×C₄₃	—	4	4	no	—
687	C₂²×C₄₃	—	4	8	no	—
688	C₂²×C₄₃	—	8	16	no	—
689	C₂²×C₄₃	C₂²×#41	1	4	yes	—
690	C₂²×C₄₃	C₂²×#41	1	2	yes	—
691	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	4	yes	—
692	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
693	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
694	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
695	C₂×D₄₃	—	2	2	no	—
696	C₂×D₄₃	—	2	2	no	—
697	C₂×D₄₃	—	2	8	no	—
698	C₂×D₄₃	—	2	2	no	—
699	C₂×D₄₃	—	2	4	no	—
700	C₂×D₄₃	—	2	2	no	—
701	C₂×D₄₃	—	2	2	no	—
702	C₂×D₄₃	—	2	4	no	—
703	C₂×D₄₃	—	2	4	no	—
704	C₂×D₄₃	—	4	16	no	—
705	C₂×D₄₃	—	4	4	no	—
706	C₂×D₄₃	—	4	8	no	—
707	C₂×D₄₃	—	8	16	no	—
708	C₂×D₄₃	C₂²×#41	1	4	yes	—
709	C₄×C₄₃	—	2	4	no	—
710	C₄×C₄₃	—	2	2	no	—
711	C₄×C₄₃	—	2	2	no	—
712	C₄×C₄₃	—	2	4	no	—
713	C₄×C₄₃	—	2	2	no	—
714	C₄×C₄₃	C₂×H(5,𝔽₂)	1	4	yes	—
715	Dic₄₃	—	2	2	no	—
716	Dic₄₃	—	2	4	no	—
717	Dic₄₃	—	2	4	no	—
718	Dic₄₃	—	2	2	no	—
719	Dic₄₃	—	2	4	no	—
720	Dic₄₃	—	2	2	no	—
721	Dic₄₃	—	2	2	no	—
722	Dic₄₃	—	2	2	no	—
723	Dic₄₃	C₂²×#41	1	4	yes	—
724	#3519	—	43	32	no	—
725	C₂×#555	—	43	1	no	—
726	C₂×#554	—	43	1	no	—
727	C₂×#553	—	43	2	no	—
728	C₂×#553	—	43	1	no	—
729	C₂×#553	—	43	1	no	—
730	C₂×#550	—	43	1	no	—
731	C₂×#546	—	43	2	no	—
732	C₂×#546	—	43	1	no	—
733	C₂×#546	—	43	2	no	—
734	C₂×#546	—	43	1	no	—
735	C₂×D₄²	—	43	2	no	—
736	C₂×D₄²	—	43	1	no	—
737	C₂×#540	—	43	2	no	—
738	C₂×#538	—	43	2	no	—
739	C₂×#538	—	43	2	no	—
740	C₂×#532	—	43	1	no	—
741	C₂×#529	—	43	1	no	—
742	C₂×#525	—	43	1	no	—
743	C₂×#525	—	43	1	no	—
744	C₂²×#121	—	43	1	no	—
745	C₂²×#121	D₄₃	1	1	yes	characteristic, complemented
746	C₂×#518	—	43	2	no	—
747	C₂²×C₄×D₄	—	43	1	no	—
748	C₂×C₄₃	—	2	4	no	—
749	C₂×C₄₃	—	2	4	no	—
750	C₂×C₄₃	—	4	4	no	—
751	C₂×C₄₃	—	4	2	no	—
752	C₂×C₄₃	—	4	4	no	—
753	C₂×C₄₃	#3519	1	4	yes	complemented
754	C₂×C₄₃	C₂³×#41	1	1	yes	characteristic
755	C₂×C₄₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
756	C₂×C₄₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
757	D₄₃	—	2	4	no	—
758	D₄₃	—	4	2	no	—
759	D₄₃	—	4	4	no	—
760	C₂²×#41	—	43	1	no	—
761	C₂²×#41	—	43	2	no	—
762	C₂²×#41	—	43	1	no	—
763	C₂³×D₄	—	43	1	no	—
764	C₂³×D₄	—	43	2	no	—
765	C₂³×D₄	—	43	1	no	—
766	C₂³×D₄	—	43	2	no	—
767	C₂³×D₄	C₂×D₄₃	1	1	yes	characteristic, complemented
768	C₂³×D₄	C₂×D₄₃	1	2	yes	complemented
769	C₂⁴×C₄	—	43	1	no	—
770	C₂⁴×C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
771	#555	—	43	16	no	—
772	#554	—	43	16	no	—
773	#553	—	43	32	no	—
774	#553	—	43	16	no	—
775	#553	—	43	16	no	—
776	#550	—	43	16	no	—
777	#546	—	43	32	no	—
778	#546	—	43	16	no	—
779	#546	—	43	32	no	—
780	#546	—	43	16	no	—
781	D₄²	—	43	32	no	—
782	D₄²	—	43	16	no	—
783	#540	—	43	32	no	—
784	#538	—	43	32	no	—
785	#538	—	43	32	no	—
786	#532	—	43	16	no	—
787	C₂×C₄⋊Q₈	—	43	1	no	—
788	C₂×#127	—	43	1	no	—
789	C₂×#127	—	43	2	no	—
790	#529	—	43	16	no	—
791	C₂×#126	—	43	2	no	—
792	C₂×#126	—	43	2	no	—
793	C₂×#126	—	43	2	no	—
794	C₂×#125	—	43	1	no	—
795	C₂×#125	—	43	2	no	—
796	C₂×#124	—	43	1	no	—
797	C₂×#124	—	43	2	no	—
798	C₂×#124	—	43	2	no	—
799	C₂×#124	—	43	2	no	—
800	#525	—	43	16	no	—
801	#525	—	43	16	no	—
802	C₂×#123	—	43	2	no	—
803	C₂×#123	—	43	2	no	—
804	C₂×#123	—	43	2	no	—
805	C₂×#123	—	43	2	no	—
806	C₂×#123	—	43	2	no	—
807	C₂×#123	—	43	2	no	—
808	C₂×#123	—	43	2	no	—
809	C₂×C₂²⋊Q₈	—	43	1	no	—
810	C₂×C₂²⋊Q₈	—	43	1	no	—
811	C₂×C₂²⋊Q₈	—	43	2	no	—
812	C₂×C₂²⋊Q₈	—	43	2	no	—
813	C₂×C₂²⋊Q₈	—	43	1	no	—
814	C₂×#121	—	43	1	no	—
815	C₂×#121	—	43	1	no	—
816	C₂×#121	—	43	2	no	—
817	C₂×#121	—	43	2	no	—
818	C₂×#121	—	43	2	no	—
819	C₂×#121	—	43	2	no	—
820	C₂×#121	—	43	2	no	—
821	C₂×#121	—	43	2	no	—
822	C₂×#121	—	43	2	no	—
823	C₂×#121	—	43	2	no	—
824	C₂×#121	—	43	1	no	—
825	C₂×#121	—	43	1	no	—
826	C₂×#121	—	43	2	no	—
827	C₂×#121	—	43	16	no	—
828	C₂×#121	—	43	1	no	—
829	C₂×#121	—	43	2	no	—
830	C₂×#121	—	43	2	no	—
831	C₂×#121	C₂×D₄₃	1	1	yes	characteristic
832	C₂×#121	C₂×D₄₃	1	1	yes	characteristic, complemented
833	C₂×#121	C₂×D₄₃	1	2	yes	complemented
834	C₂×#121	C₂×D₄₃	1	2	yes	complemented
835	C₂×#121	C₂×D₄₃	1	1	yes	characteristic, complemented
836	C₂×#121	C₂×D₄₃	1	1	yes	characteristic, complemented
837	C₂×#121	C₂×D₄₃	1	16	yes	complemented
838	C₂×#120	—	43	2	no	—
839	C₂×#120	—	43	2	no	—
840	C₂×#120	—	43	2	no	—
841	C₂×#120	—	43	2	no	—
842	C₂×#120	—	43	2	no	—
843	C₂×#120	—	43	2	no	—
844	#518	—	43	32	no	—
845	C₂×C₄×Q₈	—	43	1	no	—
846	C₂×C₄×D₄	—	43	2	no	—
847	C₂×C₄×D₄	—	43	2	no	—
848	C₂×C₄×D₄	—	43	1	no	—
849	C₂×C₄×D₄	—	43	1	no	—
850	C₂×C₄×D₄	—	43	1	no	—
851	C₂×C₄×D₄	—	43	1	no	—
852	C₂×C₄×D₄	—	43	2	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	—	43	1	no	—
859	C₂×C₄×D₄	—	43	2	no	—
860	C₂×C₄×D₄	—	43	2	no	—
861	C₂×C₄×D₄	—	43	2	no	—
862	C₂×C₄×D₄	—	43	16	no	—
863	C₂×C₄×D₄	—	43	1	no	—
864	C₂×C₄×D₄	—	43	2	no	—
865	C₂×C₄×D₄	—	43	2	no	—
866	C₂×C₄×D₄	—	43	2	no	—
867	C₂×C₄×D₄	—	43	2	no	—
868	C₂×#117	—	43	1	no	—
869	C₂×#117	—	43	1	no	—
870	C₂×#117	—	43	2	no	—
871	C₂×#117	—	43	2	no	—
872	C₂²×C₄⋊C₄	—	43	1	no	—
873	C₂²×C₄⋊C₄	—	43	1	no	—
874	C₂²×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
875	C₂²×C₂²⋊C₄	—	43	1	no	—
876	C₂²×C₂²⋊C₄	—	43	2	no	—
877	C₂²×C₂²⋊C₄	—	43	1	no	—
878	C₂²×C₂²⋊C₄	—	43	2	no	—
879	C₂²×C₂²⋊C₄	—	43	2	no	—
880	C₂²×C₂²⋊C₄	C₂×D₄₃	1	2	yes	complemented
881	C₂²×C₄²	—	43	1	no	—
882	C₄₃	C₂×#3519	1	1	yes	characteristic, complemented, Sylow
883	C₂⁵	—	43	1	no	—
884	C₂⁵	—	43	2	no	—
885	C₂⁵	C₂²×D₄₃	1	1	yes	characteristic
886	C₂⁵	C₂²×D₄₃	1	2	yes	—
887	C₂×#41	—	43	8	no	—
888	C₂×#41	—	43	16	no	—
889	C₂×#41	—	43	8	no	—
890	C₂×#41	—	172	4	no	—
891	C₂×#41	—	172	8	no	—
892	C₂×#41	—	172	4	no	—
893	C₂²×Q₈	—	43	1	no	—
894	C₂²×Q₈	—	43	2	no	—
895	C₂²×D₄	—	4	4	no	—
896	C₂²×D₄	—	4	8	no	—
897	C₂²×D₄	—	43	1	no	—
898	C₂²×D₄	—	43	1	no	—
899	C₂²×D₄	—	43	2	no	—
900	C₂²×D₄	—	43	1	no	—
901	C₂²×D₄	—	43	2	no	—
902	C₂²×D₄	—	43	1	no	—
903	C₂²×D₄	—	43	2	no	—
904	C₂²×D₄	—	43	8	no	—
905	C₂²×D₄	—	43	2	no	—
906	C₂²×D₄	—	43	16	no	—
907	C₂²×D₄	—	43	2	no	—
908	C₂²×D₄	—	43	2	no	—
909	C₂²×D₄	—	43	2	no	—
910	C₂²×D₄	—	43	2	no	—
911	C₂²×D₄	—	43	2	no	—
912	C₂²×D₄	—	43	8	no	—
913	C₂²×D₄	—	43	16	no	—
914	C₂²×D₄	—	43	1	no	—
915	C₂²×D₄	—	43	2	no	—
916	C₂²×D₄	—	86	8	no	—
917	C₂²×D₄	—	86	16	no	—
918	C₂²×D₄	—	172	4	no	—
919	C₂²×D₄	—	172	8	no	—
920	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
921	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
922	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
923	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
924	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
925	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
926	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
927	C₂²×D₄	C₂²×D₄₃	1	8	yes	complemented
928	C₂²×D₄	C₂²×D₄₃	1	16	yes	complemented
929	C₂³×C₄	—	4	4	no	—
930	C₂³×C₄	—	43	1	no	—
931	C₂³×C₄	—	43	1	no	—
932	C₂³×C₄	—	43	2	no	—
933	C₂³×C₄	—	43	1	no	—
934	C₂³×C₄	—	43	2	no	—
935	C₂³×C₄	—	43	2	no	—
936	C₂³×C₄	—	43	1	no	—
937	C₂³×C₄	—	43	1	no	—
938	C₂³×C₄	—	43	1	no	—
939	C₂³×C₄	—	43	2	no	—
940	C₂³×C₄	—	43	2	no	—
941	C₂³×C₄	—	43	2	no	—
942	C₂³×C₄	—	43	1	no	—
943	C₂³×C₄	—	43	8	no	—
944	C₂³×C₄	—	172	4	no	—
945	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
946	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
947	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
948	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
949	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
950	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
951	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
952	C₂³×C₄	C₂²×D₄₃	1	8	yes	complemented
953	C₄⋊Q₈	—	43	8	no	—
954	#127	—	43	8	no	—
955	#127	—	43	16	no	—
956	#126	—	43	16	no	—
957	#126	—	43	16	no	—
958	#126	—	43	16	no	—
959	#125	—	43	8	no	—
960	#125	—	43	16	no	—
961	#124	—	43	8	no	—
962	#124	—	43	16	no	—
963	#124	—	43	16	no	—
964	#124	—	43	16	no	—
965	#123	—	43	16	no	—
966	#123	—	43	16	no	—
967	#123	—	43	16	no	—
968	#123	—	43	16	no	—
969	#123	—	43	16	no	—
970	#123	—	43	16	no	—
971	#123	—	43	16	no	—
972	C₂²⋊Q₈	—	43	8	no	—
973	C₂²⋊Q₈	—	43	8	no	—
974	C₂²⋊Q₈	—	43	16	no	—
975	C₂²⋊Q₈	—	43	8	no	—
976	C₂²⋊Q₈	—	43	16	no	—
977	#121	—	43	16	no	—
978	#121	—	43	8	no	—
979	#121	—	43	8	no	—
980	#121	—	43	16	no	—
981	#121	—	43	16	no	—
982	#121	—	43	16	no	—
983	#121	—	43	16	no	—
984	#121	—	43	16	no	—
985	#121	—	43	16	no	—
986	#121	—	43	16	no	—
987	#121	—	43	8	no	—
988	#121	—	43	8	no	—
989	#121	—	43	16	no	—
990	#121	—	43	8	no	—
991	#121	—	43	16	no	—
992	#121	—	43	16	no	—
993	#121	C₂²×D₄₃	1	8	yes	—
994	#121	C₂²×D₄₃	1	8	yes	complemented
995	#121	C₂²×D₄₃	1	16	yes	complemented
996	#121	C₂²×D₄₃	1	16	yes	complemented
997	#121	C₂²×D₄₃	1	8	yes	complemented
998	#121	C₂²×D₄₃	1	8	yes	complemented
999	#120	—	43	16	no	—
1000	#120	—	43	16	no	—
1001	#120	—	43	16	no	—
1002	#120	—	43	16	no	—
1003	#120	—	43	16	no	—
1004	#120	—	43	16	no	—
1005	C₄×Q₈	—	43	8	no	—
1006	C₄×D₄	—	43	16	no	—
1007	C₄×D₄	—	43	16	no	—
1008	C₄×D₄	—	43	8	no	—
1009	C₄×D₄	—	43	8	no	—
1010	C₄×D₄	—	43	8	no	—
1011	C₄×D₄	—	43	8	no	—
1012	C₄×D₄	—	43	8	no	—
1013	C₄×D₄	—	43	8	no	—
1014	C₄×D₄	—	43	8	no	—
1015	C₄×D₄	—	43	8	no	—
1016	C₄×D₄	—	43	8	no	—
1017	C₄×D₄	—	43	8	no	—
1018	C₄×D₄	—	43	16	no	—
1019	C₄×D₄	—	43	16	no	—
1020	C₄×D₄	—	43	16	no	—
1021	C₄×D₄	—	43	16	no	—
1022	C₄×D₄	—	43	8	no	—
1023	C₄×D₄	—	43	16	no	—
1024	C₄×D₄	—	43	16	no	—
1025	C₄×D₄	—	43	16	no	—
1026	C₄×D₄	—	43	16	no	—
1027	#117	—	43	8	no	—
1028	#117	—	43	8	no	—
1029	#117	—	43	16	no	—
1030	#117	—	43	16	no	—
1031	C₂×C₄⋊C₄	—	43	1	no	—
1032	C₂×C₄⋊C₄	—	43	1	no	—
1033	C₂×C₄⋊C₄	—	43	1	no	—
1034	C₂×C₄⋊C₄	—	43	1	no	—
1035	C₂×C₄⋊C₄	—	43	1	no	—
1036	C₂×C₄⋊C₄	—	43	8	no	—
1037	C₂×C₄⋊C₄	—	43	2	no	—
1038	C₂×C₄⋊C₄	—	43	1	no	—
1039	C₂×C₄⋊C₄	—	43	2	no	—
1040	C₂×C₄⋊C₄	—	43	2	no	—
1041	C₂×C₄⋊C₄	—	43	2	no	—
1042	C₂×C₄⋊C₄	—	43	2	no	—
1043	C₂×C₄⋊C₄	—	43	2	no	—
1044	C₂×C₄⋊C₄	—	43	2	no	—
1045	C₂×C₄⋊C₄	—	43	2	no	—
1046	C₂×C₄⋊C₄	—	43	8	no	—
1047	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1048	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1049	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
1050	C₂×C₄⋊C₄	C₂²×D₄₃	1	8	yes	complemented
1051	C₂×C₂²⋊C₄	—	43	1	no	—
1052	C₂×C₂²⋊C₄	—	43	2	no	—
1053	C₂×C₂²⋊C₄	—	43	2	no	—
1054	C₂×C₂²⋊C₄	—	43	1	no	—
1055	C₂×C₂²⋊C₄	—	43	2	no	—
1056	C₂×C₂²⋊C₄	—	43	1	no	—
1057	C₂×C₂²⋊C₄	—	43	1	no	—
1058	C₂×C₂²⋊C₄	—	43	8	no	—
1059	C₂×C₂²⋊C₄	—	43	16	no	—
1060	C₂×C₂²⋊C₄	—	43	2	no	—
1061	C₂×C₂²⋊C₄	—	43	2	no	—
1062	C₂×C₂²⋊C₄	—	43	2	no	—
1063	C₂×C₂²⋊C₄	—	43	2	no	—
1064	C₂×C₂²⋊C₄	—	43	2	no	—
1065	C₂×C₂²⋊C₄	—	43	2	no	—
1066	C₂×C₂²⋊C₄	—	43	1	no	—
1067	C₂×C₂²⋊C₄	—	43	1	no	—
1068	C₂×C₂²⋊C₄	—	43	2	no	—
1069	C₂×C₂²⋊C₄	—	43	2	no	—
1070	C₂×C₂²⋊C₄	—	43	1	no	—
1071	C₂×C₂²⋊C₄	—	43	2	no	—
1072	C₂×C₂²⋊C₄	—	43	1	no	—
1073	C₂×C₂²⋊C₄	—	43	8	no	—
1074	C₂×C₂²⋊C₄	—	43	2	no	—
1075	C₂×C₂²⋊C₄	—	43	2	no	—
1076	C₂×C₂²⋊C₄	—	43	2	no	—
1077	C₂×C₂²⋊C₄	—	43	16	no	—
1078	C₂×C₂²⋊C₄	—	43	16	no	—
1079	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1080	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1081	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1082	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1083	C₂×C₂²⋊C₄	C₂²×D₄₃	1	16	yes	complemented
1084	C₂×C₄²	—	43	1	no	—
1085	C₂×C₄²	—	43	2	no	—
1086	C₂×C₄²	—	43	2	no	—
1087	C₂×C₄²	—	43	2	no	—
1088	C₂×C₄²	—	43	1	no	—
1089	C₂×C₄²	—	43	1	no	—
1090	C₂×C₄²	—	43	1	no	—
1091	C₂×C₄²	—	43	8	no	—
1092	C₂⁴	—	2	4	no	—
1093	C₂⁴	—	2	4	no	—
1094	C₂⁴	—	2	8	no	—
1095	C₂⁴	—	4	2	no	—
1096	C₂⁴	—	4	4	no	—
1097	C₂⁴	—	4	4	no	—
1098	C₂⁴	—	43	1	no	—
1099	C₂⁴	—	43	1	no	—
1100	C₂⁴	—	43	2	no	—
1101	C₂⁴	—	43	4	no	—
1102	C₂⁴	—	43	8	no	—
1103	C₂⁴	—	86	8	no	—
1104	C₂⁴	—	86	4	no	—
1105	C₂⁴	—	86	4	no	—
1106	C₂⁴	—	172	4	no	—
1107	C₂⁴	—	172	4	no	—
1108	C₂⁴	—	172	2	no	—
1109	C₂⁴	C₂³×D₄₃	1	2	yes	—
1110	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1111	C₂⁴	C₂³×D₄₃	1	2	yes	—
1112	C₂⁴	C₂³×D₄₃	1	4	yes	—
1113	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1114	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1115	C₂⁴	C₂³×D₄₃	1	8	yes	—
1116	#41	—	172	16	no	—
1117	#41	—	172	32	no	—
1118	#41	—	172	16	no	—
1119	C₂×Q₈	—	43	4	no	—
1120	C₂×Q₈	—	43	8	no	—
1121	C₂×Q₈	—	86	4	no	—
1122	C₂×Q₈	—	172	4	no	—
1123	C₂×D₄	—	2	8	no	—
1124	C₂×D₄	—	2	8	no	—
1125	C₂×D₄	—	2	4	no	—
1126	C₂×D₄	—	2	4	no	—
1127	C₂×D₄	—	4	16	no	—
1128	C₂×D₄	—	4	4	no	—
1129	C₂×D₄	—	4	4	no	—
1130	C₂×D₄	—	4	4	no	—
1131	C₂×D₄	—	4	32	no	—
1132	C₂×D₄	—	43	8	no	—
1133	C₂×D₄	—	43	4	no	—
1134	C₂×D₄	—	43	4	no	—
1135	C₂×D₄	—	43	8	no	—
1136	C₂×D₄	—	43	4	no	—
1137	C₂×D₄	—	43	8	no	—
1138	C₂×D₄	—	43	4	no	—
1139	C₂×D₄	—	43	8	no	—
1140	C₂×D₄	—	43	8	no	—
1141	C₂×D₄	—	43	8	no	—
1142	C₂×D₄	—	43	8	no	—
1143	C₂×D₄	—	43	8	no	—
1144	C₂×D₄	—	43	8	no	—
1145	C₂×D₄	—	43	8	no	—
1146	C₂×D₄	—	43	4	no	—
1147	C₂×D₄	—	43	8	no	—
1148	C₂×D₄	—	86	4	no	—
1149	C₂×D₄	—	86	8	no	—
1150	C₂×D₄	—	86	32	no	—
1151	C₂×D₄	—	86	64	no	—
1152	C₂×D₄	—	86	4	no	—
1153	C₂×D₄	—	86	8	no	—
1154	C₂×D₄	—	86	8	no	—
1155	C₂×D₄	—	86	4	no	—
1156	C₂×D₄	—	86	8	no	—
1157	C₂×D₄	—	86	4	no	—
1158	C₂×D₄	—	172	4	no	—
1159	C₂×D₄	—	172	16	no	—
1160	C₂×D₄	—	172	4	no	—
1161	C₂×D₄	—	172	4	no	—
1162	C₂×D₄	—	172	4	no	—
1163	C₂×D₄	—	172	4	no	—
1164	C₂×D₄	—	172	4	no	—
1165	C₂×D₄	—	172	32	no	—
1166	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1167	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1168	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1169	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1170	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1171	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1172	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1173	C₂²×C₄	—	2	4	no	—
1174	C₂²×C₄	—	2	4	no	—
1175	C₂²×C₄	—	2	4	no	—
1176	C₂²×C₄	—	4	16	no	—
1177	C₂²×C₄	—	4	2	no	—
1178	C₂²×C₄	—	4	2	no	—
1179	C₂²×C₄	—	4	2	no	—
1180	C₂²×C₄	—	4	4	no	—
1181	C₂²×C₄	—	43	1	no	—
1182	C₂²×C₄	—	43	4	no	—
1183	C₂²×C₄	—	43	4	no	—
1184	C₂²×C₄	—	43	8	no	—
1185	C₂²×C₄	—	43	2	no	—
1186	C₂²×C₄	—	43	1	no	—
1187	C₂²×C₄	—	43	1	no	—
1188	C₂²×C₄	—	43	1	no	—
1189	C₂²×C₄	—	43	1	no	—
1190	C₂²×C₄	—	43	2	no	—
1191	C₂²×C₄	—	43	2	no	—
1192	C₂²×C₄	—	43	1	no	—
1193	C₂²×C₄	—	43	4	no	—
1194	C₂²×C₄	—	43	8	no	—
1195	C₂²×C₄	—	43	8	no	—
1196	C₂²×C₄	—	43	4	no	—
1197	C₂²×C₄	—	43	4	no	—
1198	C₂²×C₄	—	43	4	no	—
1199	C₂²×C₄	—	43	8	no	—
1200	C₂²×C₄	—	43	8	no	—
1201	C₂²×C₄	—	43	8	no	—
1202	C₂²×C₄	—	43	4	no	—
1203	C₂²×C₄	—	86	4	no	—
1204	C₂²×C₄	—	86	8	no	—
1205	C₂²×C₄	—	86	4	no	—
1206	C₂²×C₄	—	86	4	no	—
1207	C₂²×C₄	—	86	4	no	—
1208	C₂²×C₄	—	172	16	no	—
1209	C₂²×C₄	—	172	2	no	—
1210	C₂²×C₄	—	172	2	no	—
1211	C₂²×C₄	—	172	4	no	—
1212	C₂²×C₄	—	172	4	no	—
1213	C₂²×C₄	—	172	4	no	—
1214	C₂²×C₄	—	172	2	no	—
1215	C₂²×C₄	—	172	4	no	—
1216	C₂²×C₄	—	172	4	no	—
1217	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1218	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1219	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1220	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1221	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1222	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1223	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1224	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1225	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1226	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1227	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1228	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1229	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1230	C₄⋊C₄	—	43	4	no	—
1231	C₄⋊C₄	—	43	4	no	—
1232	C₄⋊C₄	—	43	4	no	—
1233	C₄⋊C₄	—	43	4	no	—
1234	C₄⋊C₄	—	43	4	no	—
1235	C₄⋊C₄	—	43	8	no	—
1236	C₄⋊C₄	—	43	4	no	—
1237	C₄⋊C₄	—	43	8	no	—
1238	C₄⋊C₄	—	43	8	no	—
1239	C₄⋊C₄	—	43	8	no	—
1240	C₄⋊C₄	—	43	8	no	—
1241	C₄⋊C₄	—	43	8	no	—
1242	C₄⋊C₄	—	43	8	no	—
1243	C₄⋊C₄	—	43	8	no	—
1244	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1245	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1246	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1247	C₂²⋊C₄	—	43	4	no	—
1248	C₂²⋊C₄	—	43	8	no	—
1249	C₂²⋊C₄	—	43	8	no	—
1250	C₂²⋊C₄	—	43	4	no	—
1251	C₂²⋊C₄	—	43	8	no	—
1252	C₂²⋊C₄	—	43	4	no	—
1253	C₂²⋊C₄	—	43	4	no	—
1254	C₂²⋊C₄	—	43	8	no	—
1255	C₂²⋊C₄	—	43	8	no	—
1256	C₂²⋊C₄	—	43	8	no	—
1257	C₂²⋊C₄	—	43	8	no	—
1258	C₂²⋊C₄	—	43	8	no	—
1259	C₂²⋊C₄	—	43	8	no	—
1260	C₂²⋊C₄	—	43	4	no	—
1261	C₂²⋊C₄	—	43	4	no	—
1262	C₂²⋊C₄	—	43	8	no	—
1263	C₂²⋊C₄	—	43	8	no	—
1264	C₂²⋊C₄	—	43	4	no	—
1265	C₂²⋊C₄	—	43	8	no	—
1266	C₂²⋊C₄	—	43	4	no	—
1267	C₂²⋊C₄	—	43	8	no	—
1268	C₂²⋊C₄	—	43	8	no	—
1269	C₂²⋊C₄	—	43	8	no	—
1270	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1271	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1272	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1273	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1274	C₄²	—	43	4	no	—
1275	C₄²	—	43	4	no	—
1276	C₄²	—	43	4	no	—
1277	C₄²	—	43	4	no	—
1278	C₄²	—	43	8	no	—
1279	C₄²	—	43	8	no	—
1280	C₄²	—	43	8	no	—
1281	C₂³	—	2	2	no	—
1282	C₂³	—	2	2	no	—
1283	C₂³	—	2	2	no	—
1284	C₂³	—	2	2	no	—
1285	C₂³	—	2	4	no	—
1286	C₂³	—	2	8	no	—
1287	C₂³	—	2	2	no	—
1288	C₂³	—	2	4	no	—
1289	C₂³	—	2	2	no	—
1290	C₂³	—	2	4	no	—
1291	C₂³	—	2	4	no	—
1292	C₂³	—	2	4	no	—
1293	C₂³	—	2	4	no	—
1294	C₂³	—	2	8	no	—
1295	C₂³	—	2	2	no	—
1296	C₂³	—	2	16	no	—
1297	C₂³	—	4	4	no	—
1298	C₂³	—	4	8	no	—
1299	C₂³	—	4	8	no	—
1300	C₂³	—	4	16	no	—
1301	C₂³	—	8	16	no	—
1302	C₂³	—	43	4	no	—
1303	C₂³	—	43	2	no	—
1304	C₂³	—	43	2	no	—
1305	C₂³	—	43	4	no	—
1306	C₂³	—	86	16	no	—
1307	C₂³	—	86	8	no	—
1308	C₂³	—	86	2	no	—
1309	C₂³	—	86	2	no	—
1310	C₂³	—	86	4	no	—
1311	C₂³	—	86	2	no	—
1312	C₂³	—	86	2	no	—
1313	C₂³	—	86	4	no	—
1314	C₂³	—	86	4	no	—
1315	C₂³	—	86	8	no	—
1316	C₂³	—	86	2	no	—
1317	C₂³	—	344	16	no	—
1318	C₂³	—	172	8	no	—
1319	C₂³	—	172	8	no	—
1320	C₂³	—	172	4	no	—
1321	C₂³	—	172	16	no	—
1322	C₂³	#41×D₄₃	1	4	yes	—
1323	C₂³	#13063370	1	4	yes	—
1324	C₂³	C₂⁴×D₄₃	1	4	yes	—
1325	C₂³	C₂⁴×D₄₃	1	2	yes	—
1326	C₂³	C₂⁴×D₄₃	1	4	yes	—
1327	C₂³	C₂⁴×D₄₃	1	2	yes	—
1328	C₂³	C₂⁴×D₄₃	1	2	yes	—
1329	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1330	Q₈	—	86	8	no	—
1331	Q₈	—	172	8	no	—
1332	D₄	—	2	16	no	—
1333	D₄	—	2	16	no	—
1334	D₄	—	2	8	no	—
1335	D₄	—	2	8	no	—
1336	D₄	—	4	8	no	—
1337	D₄	—	4	8	no	—
1338	D₄	—	4	8	no	—
1339	D₄	—	43	16	no	—
1340	D₄	—	86	8	no	—
1341	D₄	—	86	16	no	—
1342	D₄	—	86	8	no	—
1343	D₄	—	86	16	no	—
1344	D₄	—	86	16	no	—
1345	D₄	—	86	8	no	—
1346	D₄	—	86	16	no	—
1347	D₄	—	86	8	no	—
1348	D₄	—	172	8	no	—
1349	D₄	—	172	8	no	—
1350	D₄	—	172	8	no	—
1351	D₄	—	172	8	no	—
1352	D₄	—	172	8	no	—
1353	D₄	—	172	8	no	—
1354	C₂×C₄	—	2	2	no	—
1355	C₂×C₄	—	2	2	no	—
1356	C₂×C₄	—	2	2	no	—
1357	C₂×C₄	—	2	4	no	—
1358	C₂×C₄	—	2	4	no	—
1359	C₂×C₄	—	2	8	no	—
1360	C₂×C₄	—	2	8	no	—
1361	C₂×C₄	—	2	8	no	—
1362	C₂×C₄	—	4	4	no	—
1363	C₂×C₄	—	4	4	no	—
1364	C₂×C₄	—	4	4	no	—
1365	C₂×C₄	—	4	8	no	—
1366	C₂×C₄	—	43	4	no	—
1367	C₂×C₄	—	43	2	no	—
1368	C₂×C₄	—	43	2	no	—
1369	C₂×C₄	—	43	4	no	—
1370	C₂×C₄	—	43	2	no	—
1371	C₂×C₄	—	43	2	no	—
1372	C₂×C₄	—	43	2	no	—
1373	C₂×C₄	—	43	4	no	—
1374	C₂×C₄	—	43	4	no	—
1375	C₂×C₄	—	43	2	no	—
1376	C₂×C₄	—	86	8	no	—
1377	C₂×C₄	—	86	16	no	—
1378	C₂×C₄	—	86	4	no	—
1379	C₂×C₄	—	86	2	no	—
1380	C₂×C₄	—	86	2	no	—
1381	C₂×C₄	—	86	2	no	—
1382	C₂×C₄	—	86	2	no	—
1383	C₂×C₄	—	86	2	no	—
1384	C₂×C₄	—	86	8	no	—
1385	C₂×C₄	—	86	4	no	—
1386	C₂×C₄	—	86	4	no	—
1387	C₂×C₄	—	86	8	no	—
1388	C₂×C₄	—	86	8	no	—
1389	C₂×C₄	—	172	4	no	—
1390	C₂×C₄	—	172	4	no	—
1391	C₂×C₄	—	172	8	no	—
1392	C₂×C₄	—	172	8	no	—
1393	C₂×C₄	—	172	8	no	—
1394	C₂×C₄	—	172	4	no	—
1395	C₂×C₄	—	172	8	no	—
1396	C₂×C₄	—	172	8	no	—
1397	C₂×C₄	#13063370	1	4	yes	—
1398	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1399	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1400	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1401	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1402	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1403	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1404	C₂²	—	2	8	no	—
1405	C₂²	—	2	8	no	—
1406	C₂²	—	2	2	no	—
1407	C₂²	—	2	2	no	—
1408	C₂²	—	2	2	no	—
1409	C₂²	—	2	2	no	—
1410	C₂²	—	2	4	no	—
1411	C₂²	—	2	2	no	—
1412	C₂²	—	2	4	no	—
1413	C₂²	—	2	2	no	—
1414	C₂²	—	2	4	no	—
1415	C₂²	—	2	4	no	—
1416	C₂²	—	2	4	no	—
1417	C₂²	—	2	4	no	—
1418	C₂²	—	2	2	no	—
1419	C₂²	—	4	16	no	—
1420	C₂²	—	4	4	no	—
1421	C₂²	—	4	8	no	—
1422	C₂²	—	4	8	no	—
1423	C₂²	—	8	16	no	—
1424	C₂²	—	43	4	no	—
1425	C₂²	—	86	8	no	—
1426	C₂²	—	86	2	no	—
1427	C₂²	—	86	2	no	—
1428	C₂²	—	86	4	no	—
1429	C₂²	—	86	2	no	—
1430	C₂²	—	86	2	no	—
1431	C₂²	—	86	4	no	—
1432	C₂²	—	86	4	no	—
1433	C₂²	—	86	2	no	—
1434	C₂²	—	344	16	no	—
1435	C₂²	—	172	16	no	—
1436	C₂²	—	172	8	no	—
1437	C₂²	—	172	4	no	—
1438	C₂²	C₂×#41×D₄₃	1	4	yes	—
1439	C₂²	C₂×#41×D₄₃	1	2	yes	—
1440	C₂²	C₂×#13063370	1	4	yes	—
1441	C₂²	C₂×#13063370	1	2	yes	—
1442	C₂²	C₂×#13063370	1	2	yes	—
1443	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1444	C₄	—	2	2	no	—
1445	C₄	—	2	2	no	—
1446	C₄	—	2	2	no	—
1447	C₄	—	2	4	no	—
1448	C₄	—	2	4	no	—
1449	C₄	—	43	4	no	—
1450	C₄	—	86	2	no	—
1451	C₄	—	86	4	no	—
1452	C₄	—	86	2	no	—
1453	C₄	—	86	2	no	—
1454	C₄	—	86	2	no	—
1455	C₄	—	86	2	no	—
1456	C₄	—	86	4	no	—
1457	C₄	—	86	4	no	—
1458	C₄	C₂×#13063370	1	4	yes	—
1459	C₂	—	2	4	no	—
1460	C₂	—	2	4	no	—
1461	C₂	—	4	2	no	—
1462	C₂	—	4	4	no	—
1463	C₂	—	4	4	no	—
1464	C₂	—	86	4	no	—
1465	C₂	—	172	4	no	—
1466	C₂	—	172	2	no	—
1467	C₂	#19148621	1	4	yes	direct product factor
1468	C₂	C₂²×#41×D₄₃	1	1	yes	characteristic
1469	C₂	C₂²×#13063370	1	1	yes	characteristic
1470	C₂	C₂²×#13063370	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₄₃
commutator, cosocle	C₂²×C₄₃	C₂⁶
Frattini	C₂²	C₂⁵×D₄₃
Fitting	C₂²×#121×C₄₃	C₂
socle	C₂³×C₄₃	C₂⁵
hypercenter	C₂²×#121	D₄₃
hypocenter	C₄₃	C₂×#3519
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂²×#121

Complements

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

N	H ≅ G/N	type
1. #19148621	C₂	direct (N × H)
2. C₂×#14583613	C₂	semidirect
3. C₂×#14583604	C₂	semidirect
4. C₂×#14583597	C₂	semidirect
5. C₂×#14583596	C₂	semidirect
6. C₂×#14583592	C₂	semidirect
7. C₂×#14583567	C₂	semidirect
8. C₂×#14583546	C₂	semidirect
9. C₂×#14583543	C₂	semidirect
10. C₂×#14583543	C₂	semidirect
11. C₂×#14583538	C₂	semidirect
12. C₂×D₄×C₂²⋊D₄₃	C₂	semidirect
13. C₂×D₄×C₂²⋊D₄₃	C₂	semidirect
14. C₂×#14583499	C₂	semidirect
15. C₂×#14583487	C₂	semidirect
16. C₂×#14583481	C₂	semidirect
17. C₂×#14583444	C₂	semidirect
18. C₂×#14583430	C₂	semidirect
19. C₂×#14583410	C₂	semidirect
20. C₂×#14583409	C₂	semidirect
21. C₂×#121×D₄₃	C₂	semidirect
22. C₂×#14583372	C₂	semidirect
23. C₂²×C₄×C₂²⋊D₄₃	C₂	semidirect
24. C₂²×#121×C₄₃	C₂	semidirect
25. C₂²×#10621898	C₂²	semidirect
26. C₂²×#10621900	C₂²	semidirect
27. C₂²×#10621900	C₂²	semidirect
30. C₂²×D₄×D₄₃	C₂²	semidirect
31. C₂²×D₄×D₄₃	C₂²	semidirect
32. C₂³×C₄×D₄₃	C₂²	semidirect
33. #14583613	C₂²	semidirect
34. #14583604	C₂²	semidirect
35. #14583597	C₂²	semidirect
36. #14583596	C₂²	semidirect
37. #14583592	C₂²	semidirect
38. #14583567	C₂²	semidirect
39. #14583546	C₂²	semidirect
40. #14583543	C₂²	semidirect
41. #14583543	C₂²	semidirect
42. #14583538	C₂²	semidirect
43. D₄×C₂²⋊D₄₃	C₂²	semidirect
44. D₄×C₂²⋊D₄₃	C₂²	semidirect
45. #14583499	C₂²	semidirect
46. #14583487	C₂²	semidirect
47. #14583481	C₂²	semidirect
48. #14583444	C₂²	semidirect
49. C₂×#13063324	C₂²	semidirect
50. C₂×#13063321	C₂²	semidirect
51. C₂×#13063321	C₂²	semidirect
52. #14583430	C₂²	semidirect
53. C₂×#13063320	C₂²	semidirect
54. C₂×#13063318	C₂²	semidirect
55. C₂×#13063318	C₂²	semidirect
56. C₂×#13063316	C₂²	semidirect
57. C₂×#13063315	C₂²	semidirect
58. C₂×#13063312	C₂²	semidirect
59. C₂×#13063312	C₂²	semidirect
60. C₂×#13063311	C₂²	semidirect
61. C₂×#13063311	C₂²	semidirect
62. #14583410	C₂²	semidirect
63. #14583409	C₂²	semidirect
64. C₂×#13063310	C₂²	semidirect
65. C₂×#13063308	C₂²	semidirect
66. C₂×#13063307	C₂²	semidirect
67. C₂×#13063307	C₂²	semidirect
68. C₂×#13063306	C₂²	semidirect
69. C₂×#13063306	C₂²	semidirect
70. C₂×#13063306	C₂²	semidirect
71. C₂×#13063305	C₂²	semidirect
72. C₂×#13063304	C₂²	semidirect
73. C₂×#13063304	C₂²	semidirect
74. C₂×#13063304	C₂²	semidirect
75. C₂×#13063303	C₂²	semidirect
76. C₂×#13063300	C₂²	semidirect
77. C₂×#13063299	C₂²	semidirect
78. C₂×#13063299	C₂²	semidirect
79. C₂×#13063299	C₂²	semidirect
80. C₂×#13063298	C₂²	semidirect
81. C₂×#13063298	C₂²	semidirect
82. C₂×#13063297	C₂²	semidirect
83. C₂×#13063297	C₂²	semidirect
84. C₂×#13063297	C₂²	semidirect
85. C₂×#13063297	C₂²	semidirect
86. C₂×#13063297	C₂²	semidirect
87. C₂×#13063297	C₂²	semidirect
88. C₂×#13063296	C₂²	semidirect
89. C₂×#13063296	C₂²	semidirect
90. C₂×#13063296	C₂²	semidirect
91. C₂×#13063296	C₂²	semidirect
92. #121×D₄₃	C₂²	semidirect
93. C₂×#13063294	C₂²	semidirect
94. C₂×#13063294	C₂²	semidirect
95. C₂×#13063294	C₂²	semidirect
96. C₂×#13063293	C₂²	semidirect
97. C₂×#13063293	C₂²	semidirect
98. C₂×#13063293	C₂²	semidirect
99. #14583372	C₂²	semidirect
100. C₂×#13063290	C₂²	semidirect
101. C₂×D₄×Dic₄₃	C₂²	semidirect
102. C₂×D₄×Dic₄₃	C₂²	semidirect
103. C₂×D₄×Dic₄₃	C₂²	semidirect
104. C₂×D₄×Dic₄₃	C₂²	semidirect
105. C₂×#13063287	C₂²	semidirect
109. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
110. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
111. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
112. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
113. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
114. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
115. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
116. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
117. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
118. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
119. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
120. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
121. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
122. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
123. C₂×#13063284	C₂²	semidirect
124. C₂×#13063283	C₂²	semidirect
125. C₂×#13063281	C₂²	semidirect
126. C₂×#13063281	C₂²	semidirect
127. C₂²×Dic₄₃⋊C₄	C₂²	semidirect
128. C₂×C₄⋊C₄×D₄₃	C₂²	semidirect
129. C₂²×C₂²⋊Dic₄₃	C₂²	semidirect
130. C₂²×C₂²⋊Dic₄₃	C₂²	semidirect
131. C₂²×(C₂×D₄₃)⋊C₄	C₂²	semidirect
132. C₂×C₂²⋊C₄×D₄₃	C₂²	semidirect
133. C₂×C₂²⋊C₄×D₄₃	C₂²	semidirect
134. C₂²×C₄×Dic₄₃	C₂²	semidirect
135. C₂³×D₄×C₄₃	C₂²	semidirect
136. C₂³×D₄×C₄₃	C₂²	semidirect
137. C₂⁴×C₄×C₄₃	C₂²	semidirect
139. C₂×#121×C₄₃	C₂²	semidirect
140. C₂×#121×C₄₃	C₂²	semidirect
141. C₂×#121×C₄₃	C₂²	semidirect
142. C₂×#121×C₄₃	C₂²	semidirect
143. C₂×#121×C₄₃	C₂²	semidirect
144. C₂×#121×C₄₃	C₂²	semidirect
145. C₂²×C₄⋊C₄×C₄₃	C₂²	semidirect
146. C₂²×C₂²⋊C₄×C₄₃	C₂²	semidirect
150. C₂×#10621898	C₂³	semidirect
153. C₂×#10621900	C₂³	semidirect
154. C₂×#10621900	C₂³	semidirect
178. C₂×D₄×D₄₃	C₂³	semidirect
179. C₂×D₄×D₄₃	C₂³	semidirect
194. C₂²×C₄×D₄₃	C₂³	semidirect
195. #13063324	C₂³	semidirect
196. #13063321	C₂³	semidirect
197. #13063321	C₂³	semidirect
198. #13063320	C₂³	semidirect
199. #13063318	C₂³	semidirect
200. #13063318	C₂³	semidirect
201. #13063316	C₂³	semidirect
202. #13063315	C₂³	semidirect
203. #13063312	C₂³	semidirect
204. #13063312	C₂³	semidirect
205. #13063311	C₂³	semidirect
206. #13063311	C₂³	semidirect
207. #13063310	C₂³	semidirect
208. #13063308	C₂³	semidirect
209. #13063307	C₂³	semidirect
210. #13063307	C₂³	semidirect
211. #13063306	C₂³	semidirect
212. #13063306	C₂³	semidirect
213. #13063306	C₂³	semidirect
214. #13063305	C₂³	semidirect
215. #13063304	C₂³	semidirect
216. #13063304	C₂³	semidirect
217. #13063304	C₂³	semidirect
218. #13063303	C₂³	semidirect
219. #13063300	C₂³	semidirect
220. #13063299	C₂³	semidirect
221. #13063299	C₂³	semidirect
222. #13063299	C₂³	semidirect
223. #13063298	C₂³	semidirect
224. #13063298	C₂³	semidirect
225. #13063297	C₂³	semidirect
226. #13063297	C₂³	semidirect
227. #13063297	C₂³	semidirect
228. #13063297	C₂³	semidirect
229. #13063297	C₂³	semidirect
230. #13063297	C₂³	semidirect
231. #13063296	C₂³	semidirect
232. #13063296	C₂³	semidirect
233. #13063296	C₂³	semidirect
234. #13063296	C₂³	semidirect
235. #13063294	C₂³	semidirect
236. #13063294	C₂³	semidirect
237. #13063294	C₂³	semidirect
238. #13063293	C₂³	semidirect
239. #13063293	C₂³	semidirect
240. #13063293	C₂³	semidirect
241. #13063290	C₂³	semidirect
242. D₄×Dic₄₃	C₂³	semidirect
243. D₄×Dic₄₃	C₂³	semidirect
244. D₄×Dic₄₃	C₂³	semidirect
245. D₄×Dic₄₃	C₂³	semidirect
246. #13063287	C₂³	semidirect
250. C₄×C₂²⋊D₄₃	C₂³	semidirect
251. C₄×C₂²⋊D₄₃	C₂³	semidirect
252. C₄×C₂²⋊D₄₃	C₂³	semidirect
253. C₄×C₂²⋊D₄₃	C₂³	semidirect
254. C₄×C₂²⋊D₄₃	C₂³	semidirect
255. C₄×C₂²⋊D₄₃	C₂³	semidirect
256. C₄×C₂²⋊D₄₃	C₂³	semidirect
257. C₄×C₂²⋊D₄₃	C₂³	semidirect
258. C₄×C₂²⋊D₄₃	C₂³	semidirect
259. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
260. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
261. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
262. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
263. #13063284	C₂³	semidirect
264. #13063283	C₂³	semidirect
265. #13063281	C₂³	semidirect
266. #13063281	C₂³	semidirect
281. C₂×Dic₄₃⋊C₄	C₂³	semidirect
282. C₄⋊C₄×D₄₃	C₂³	semidirect
296. C₂×C₂²⋊Dic₄₃	C₂³	semidirect
297. C₂×C₂²⋊Dic₄₃	C₂³	semidirect
308. C₂×(C₂×D₄₃)⋊C₄	C₂³	semidirect
309. C₂²⋊C₄×D₄₃	C₂³	semidirect
310. C₂²⋊C₄×D₄₃	C₂³	semidirect
318. C₂×C₄×Dic₄₃	C₂³	semidirect
330. C₂²×D₄×C₄₃	C₂³	semidirect
331. C₂²×D₄×C₄₃	C₂³	semidirect
340. C₂³×C₄×C₄₃	C₂³	semidirect
342. #121×C₄₃	C₂³	semidirect
343. #121×C₄₃	C₂³	semidirect
344. #121×C₄₃	C₂³	semidirect
345. #121×C₄₃	C₂³	semidirect
346. #121×C₄₃	C₂³	semidirect
350. C₂×C₄⋊C₄×C₄₃	C₂³	semidirect
355. C₂×C₂²⋊C₄×C₄₃	C₂³	semidirect
431. C₂×C₂²⋊D₄₃	#41	semidirect
632. C₂²⋊D₄₃	C₂×#41	semidirect
745. C₂²×#121	D₄₃	semidirect
753. C₂×C₄₃	#3519	semidirect
767. C₂³×D₄	C₂×D₄₃	semidirect
768. C₂³×D₄	C₂×D₄₃	semidirect
770. C₂⁴×C₄	C₂×D₄₃	semidirect
832. C₂×#121	C₂×D₄₃	semidirect
833. C₂×#121	C₂×D₄₃	semidirect
834. C₂×#121	C₂×D₄₃	semidirect
835. C₂×#121	C₂×D₄₃	semidirect
836. C₂×#121	C₂×D₄₃	semidirect
837. C₂×#121	C₂×D₄₃	semidirect
874. C₂²×C₄⋊C₄	C₂×D₄₃	semidirect
880. C₂²×C₂²⋊C₄	C₂×D₄₃	semidirect
882. C₄₃	C₂×#3519	semidirect
927. C₂²×D₄	C₂²×D₄₃	semidirect
928. C₂²×D₄	C₂²×D₄₃	semidirect
952. C₂³×C₄	C₂²×D₄₃	semidirect
994. #121	C₂²×D₄₃	semidirect
995. #121	C₂²×D₄₃	semidirect
996. #121	C₂²×D₄₃	semidirect
997. #121	C₂²×D₄₃	semidirect
998. #121	C₂²×D₄₃	semidirect
1050. C₂×C₄⋊C₄	C₂²×D₄₃	semidirect
1083. C₂×C₂²⋊C₄	C₂²×D₄₃	semidirect
1467. C₂	#19148621	direct (N × H)

Maximal subgroups

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

subgroup	index
#19148621	2
C₂×#14583613	2
C₂×#14583604	2
C₂×#14583597	2
C₂×#14583596	2
C₂×#14583592	2
C₂×#14583567	2
C₂×#14583546	2
C₂×#14583543	2
C₂×#14583538	2
C₂×D₄×C₂²⋊D₄₃	2
C₂×#14583499	2
C₂×#14583487	2
C₂×#14583481	2
C₂×#14583444	2
C₂×#14583430	2
C₂×#14583410	2
C₂×#14583409	2
C₂×#121×D₄₃	2
C₂×#14583372	2
C₂²×C₄×C₂²⋊D₄₃	2
C₂²×#121×C₄₃	2
C₂×#3519	43

Subgroups — C2×#19148621 #26004582

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#19148621 #26004582