Subgroups — C₂×#19148078 #26003552

Order 11008.

12314 conjugacy classes of subgroups.

The subgroup lattice has 1556 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂³×#10621898	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#41×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#19148078	C₂	1	32	yes	maximal, direct product factor
4	C₂×#14583567	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#14583562	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#14583559	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#14583555	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#14583551	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#14583547	C₂	1	2	yes	maximal, complemented
10	C₂×#14583546	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×#14583541	C₂	1	2	yes	maximal, complemented
12	C₂×#14583540	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#14583536	C₂	1	2	yes	maximal, complemented
14	C₂×#14583533	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#14583531	C₂	1	2	yes	maximal, complemented
16	C₂×#14583446	C₂	1	2	yes	maximal, complemented
17	C₂×#14583445	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#14583411	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#14583408	C₂	1	2	yes	maximal, complemented
20	C₂×#14583408	C₂	1	2	yes	maximal, complemented
21	C₂×#14583367	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂²×C₄×C₂²⋊D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄×D₄×D₄₃	C₂	1	2	yes	maximal, complemented
24	C₂×C₄₃×#525	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#10621902	C₂²	1	1	yes	characteristic, complemented
26	C₂²×#10621898	—	2	16	no	—
27	C₂²×#10621898	C₂²	1	1	yes	characteristic
28	C₂²×#10621898	C₂²	1	2	yes	complemented
29	C₂²×#10621898	C₂²	1	1	yes	characteristic, complemented
30	C₂²×#10621898	C₂²	1	1	yes	characteristic, complemented
31	C₂²×#10621898	C₂²	1	2	yes	complemented
32	C₂²×#10621898	C₂²	1	2	yes	complemented
33	C₂²×#10621898	C₂²	1	1	yes	characteristic, complemented
34	C₂²×#10621898	C₂²	1	16	yes	complemented
35	C₂²×#10621900	C₂²	1	2	yes	complemented
36	C₂²×#10621900	C₂²	1	1	yes	characteristic, complemented
37	C₂×#41×D₄₃	—	2	16	no	—
38	C₂×#41×D₄₃	C₂²	1	16	yes	complemented
39	C₂³×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
40	C₂²×Q₈×D₄₃	C₂²	1	1	yes	characteristic, complemented
41	C₂³×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
42	C₂³×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
43	C₂³×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
44	C₂²×D₄×D₄₃	C₂²	1	2	yes	—
45	C₂²×D₄×D₄₃	C₂²	1	1	yes	characteristic, complemented
46	C₂²×D₄×D₄₃	C₂²	1	2	yes	complemented
47	C₂³×C₄×D₄₃	C₂²	1	2	yes	complemented
48	C₂³×C₄×D₄₃	C₂²	1	2	yes	complemented
49	C₂³×C₄×D₄₃	C₂²	1	1	yes	characteristic, complemented
50	#14583567	C₂²	1	16	yes	complemented
51	#14583562	C₂²	1	16	yes	complemented
52	#14583559	C₂²	1	16	yes	complemented
53	#14583555	C₂²	1	16	yes	complemented
54	#14583551	C₂²	1	16	yes	complemented
55	#14583547	C₂²	1	32	yes	complemented
56	#14583546	C₂²	1	16	yes	complemented
57	#14583541	C₂²	1	32	yes	complemented
58	#14583540	C₂²	1	16	yes	complemented
59	#14583536	C₂²	1	32	yes	complemented
60	#14583533	C₂²	1	16	yes	complemented
61	#14583531	C₂²	1	32	yes	complemented
62	#14583446	C₂²	1	32	yes	complemented
63	#14583445	C₂²	1	16	yes	complemented
64	C₂×#13063324	C₂²	1	2	yes	complemented
65	C₂×#13063323	C₂²	1	1	yes	characteristic, complemented
66	C₂×#13063321	C₂²	1	1	yes	characteristic, complemented
67	C₂×#13063321	C₂²	1	2	yes	complemented
68	C₂×#13063314	C₂²	1	1	yes	characteristic, complemented
69	C₂×#13063312	C₂²	1	1	yes	characteristic, complemented
70	C₂×#13063311	C₂²	1	2	yes	complemented
71	C₂×#13063311	C₂²	1	2	yes	complemented
72	#14583411	C₂²	1	16	yes	complemented
73	#14583408	C₂²	1	32	yes	complemented
74	#14583408	C₂²	1	32	yes	complemented
75	C₂×#13063310	C₂²	1	2	yes	complemented
76	C₂×#13063310	C₂²	1	2	yes	complemented
77	C₂×#13063309	C₂²	1	2	yes	complemented
78	C₂×#13063307	C₂²	1	2	yes	complemented
79	C₂×#13063307	C₂²	1	2	yes	complemented
80	C₂×#13063305	C₂²	1	1	yes	characteristic, complemented
81	C₂×#13063305	C₂²	1	1	yes	characteristic, complemented
82	C₂×#13063303	C₂²	1	2	yes	complemented
83	C₂×#13063303	C₂²	1	2	yes	complemented
84	C₂×#13063302	C₂²	1	2	yes	complemented
85	C₂×#13063302	C₂²	1	2	yes	complemented
86	C₂×#13063300	C₂²	1	1	yes	characteristic, complemented
87	C₂×#13063300	C₂²	1	2	yes	complemented
88	C₂×#13063300	C₂²	1	1	yes	characteristic, complemented
89	C₂×#13063298	C₂²	1	2	yes	complemented
90	C₂×#13063298	C₂²	1	2	yes	complemented
91	C₂×#13063298	C₂²	1	2	yes	complemented
92	C₂×#13063298	C₂²	1	2	yes	complemented
93	C₂×#13063297	C₂²	1	2	yes	complemented
94	C₂×#13063297	C₂²	1	2	yes	complemented
95	C₂×#13063297	C₂²	1	2	yes	complemented
96	C₂×#13063297	C₂²	1	2	yes	complemented
97	C₂×#13063296	C₂²	1	2	yes	complemented
98	C₂×#13063295	C₂²	1	2	yes	complemented
99	C₂×#13063295	C₂²	1	2	yes	complemented
100	C₂×#13063295	C₂²	1	2	yes	complemented
101	C₂×#13063293	C₂²	1	2	yes	complemented
102	C₂×#13063293	C₂²	1	2	yes	complemented
103	#14583367	C₂²	1	16	yes	complemented
104	C₂×#13063290	C₂²	1	1	yes	characteristic, complemented
105	C₂×#13063290	C₂²	1	1	yes	characteristic, complemented
106	C₂×C₄×D₁₇₂	C₂²	1	2	yes	complemented
107	C₂×C₄×D₁₇₂	C₂²	1	2	yes	complemented
108	C₂×D₄×Dic₄₃	C₂²	1	2	yes	complemented
109	C₂×#13063287	C₂²	1	1	yes	characteristic, complemented
110	C₂×#13063287	C₂²	1	1	yes	characteristic, complemented
111	C₂×#13063287	C₂²	1	2	yes	complemented
112	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
113	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
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	2	yes	complemented
118	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic, complemented
119	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic, complemented
120	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
121	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic, complemented
122	C₂×C₄×C₂²⋊D₄₃	C₂²	1	16	yes	complemented
123	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	—
124	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
125	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
126	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
127	C₄×D₄×D₄₃	C₂²	1	32	yes	complemented
128	C₂×#13063282	C₂²	1	2	yes	complemented
129	C₂²×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
130	C₂×C₄⋊C₄×D₄₃	C₂²	1	2	yes	complemented
131	C₂²×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
132	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
133	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	complemented
134	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	complemented
135	C₂²×C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
136	C₂×C₄²×D₄₃	C₂²	1	2	yes	complemented
137	C₂²×#41×C₄₃	C₂²	1	1	yes	characteristic, complemented
138	C₂⁴×C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
139	C₄₃×#525	C₂²	1	16	yes	complemented
140	C₂×#123×C₄₃	C₂²	1	2	yes	complemented
141	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
142	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
143	C₂×#121×C₄₃	C₂²	1	1	yes	characteristic, complemented
144	C₂×#121×C₄₃	C₂²	1	1	yes	characteristic, complemented
145	C₂×#120×C₄₃	C₂²	1	2	yes	complemented
146	C₂×C₄×D₄×C₄₃	C₂²	1	2	yes	complemented
147	C₂×C₄×D₄×C₄₃	C₂²	1	2	yes	complemented
148	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic, complemented
149	C₂⁴×D₄₃	C₂³	1	2	yes	—
150	C₂⁴×D₄₃	C₂³	1	2	yes	—
151	C₂⁴×D₄₃	C₂³	1	1	yes	characteristic
152	C₂×#10621902	—	2	8	no	—
153	C₂×#10621902	C₂³	1	8	yes	complemented
154	C₂×#10621898	—	2	8	no	—
155	C₂×#10621898	—	2	16	no	—
156	C₂×#10621898	—	2	128	no	—
157	C₂×#10621898	—	2	8	no	—
158	C₂×#10621898	—	2	16	no	—
159	C₂×#10621898	—	2	16	no	—
160	C₂×#10621898	—	2	8	no	—
161	C₂×#10621898	D₄	1	16	yes	complemented
162	C₂×#10621898	C₂³	1	8	yes	—
163	C₂×#10621898	C₂³	1	8	yes	complemented
164	C₂×#10621898	C₂³	1	16	yes	complemented
165	C₂×#10621898	C₂³	1	16	yes	complemented
166	C₂×#10621898	C₂³	1	8	yes	complemented
167	C₂×#10621898	C₂³	1	16	yes	complemented
168	C₂×#10621898	C₂³	1	8	yes	complemented
169	C₂×#10621900	—	2	16	no	—
170	C₂×#10621900	—	2	8	no	—
171	C₂×#10621900	C₂³	1	8	yes	complemented
172	C₂×#10621900	C₂³	1	16	yes	complemented
173	#41×D₄₃	—	2	128	no	—
174	C₂²×Dic₈₆	—	2	8	no	—
175	C₂²×Dic₈₆	C₂³	1	2	yes	—
176	C₂²×Dic₈₆	C₂³	1	2	yes	—
177	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
178	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
179	C₂²×Dic₈₆	C₂³	1	8	yes	complemented
180	C₂×Q₈×D₄₃	—	2	8	no	—
181	C₂×Q₈×D₄₃	C₂³	1	8	yes	complemented
182	C₂²×D₁₇₂	—	2	8	no	—
183	C₂²×D₁₇₂	C₂³	1	2	yes	—
184	C₂²×D₁₇₂	C₂³	1	2	yes	—
185	C₂²×D₁₇₂	C₂³	1	2	yes	—
186	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
187	C₂²×D₁₇₂	C₂³	1	2	yes	—
188	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
189	C₂²×D₁₇₂	C₂³	1	8	yes	complemented
190	C₂²×C₂²⋊D₄₃	—	2	16	no	—
191	C₂²×C₂²⋊D₄₃	—	2	8	no	—
192	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
193	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
194	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
195	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
196	C₂²×C₂²⋊D₄₃	C₂³	1	8	yes	—
197	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
198	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
199	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
200	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
201	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
202	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
203	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
204	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
205	C₂²×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
206	C₂×D₄×D₄₃	—	2	16	no	—
207	C₂×D₄×D₄₃	—	2	16	no	—
208	C₂×D₄×D₄₃	—	2	8	no	—
209	C₂×D₄×D₄₃	C₂³	1	16	yes	—
210	C₂×D₄×D₄₃	C₂³	1	16	yes	complemented
211	C₂×D₄×D₄₃	C₂³	1	8	yes	complemented
212	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
213	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
214	C₂³×Dic₄₃	C₂³	1	2	yes	—
215	C₂³×Dic₄₃	C₂³	1	2	yes	—
216	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
217	C₂²×C₄×D₄₃	—	2	8	no	—
218	C₂²×C₄×D₄₃	—	2	16	no	—
219	C₂²×C₄×D₄₃	—	2	16	no	—
220	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
221	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
222	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
223	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
224	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
225	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
226	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
227	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
228	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
229	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
230	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
231	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
232	C₂²×C₄×D₄₃	C₂³	1	16	yes	complemented
233	C₂²×C₄×D₄₃	C₂³	1	16	yes	complemented
234	C₂²×C₄×D₄₃	C₂³	1	8	yes	complemented
235	#13063324	C₂³	1	16	yes	complemented
236	#13063323	C₂³	1	8	yes	complemented
237	#13063321	C₂³	1	8	yes	complemented
238	#13063321	C₂³	1	16	yes	complemented
239	#13063314	C₂³	1	8	yes	complemented
240	#13063312	C₂³	1	8	yes	complemented
241	#13063311	C₂³	1	16	yes	complemented
242	#13063311	C₂³	1	16	yes	complemented
243	#13063310	C₂³	1	16	yes	complemented
244	#13063310	C₂³	1	16	yes	complemented
245	#13063309	C₂³	1	16	yes	complemented
246	#13063307	C₂³	1	16	yes	complemented
247	#13063307	C₂³	1	16	yes	complemented
248	#13063305	C₂³	1	8	yes	complemented
249	#13063305	C₂³	1	8	yes	complemented
250	#13063303	C₂³	1	16	yes	complemented
251	#13063303	C₂³	1	16	yes	complemented
252	#13063302	C₂³	1	16	yes	complemented
253	#13063302	C₂³	1	16	yes	complemented
254	#13063300	C₂³	1	8	yes	complemented
255	#13063300	C₂³	1	8	yes	complemented
256	#13063300	C₂³	1	16	yes	complemented
257	#13063298	C₂³	1	16	yes	complemented
258	#13063298	C₂³	1	16	yes	complemented
259	#13063298	C₂³	1	16	yes	complemented
260	#13063298	C₂³	1	16	yes	complemented
261	#13063297	C₂³	1	16	yes	complemented
262	#13063297	C₂³	1	16	yes	complemented
263	#13063297	C₂³	1	16	yes	complemented
264	#13063297	C₂³	1	16	yes	complemented
265	#13063296	C₂³	1	16	yes	complemented
266	#13063295	C₂³	1	16	yes	complemented
267	#13063295	C₂³	1	16	yes	complemented
268	#13063295	C₂³	1	16	yes	complemented
269	#13063293	C₂³	1	16	yes	complemented
270	#13063293	C₂³	1	16	yes	complemented
271	#13063290	C₂³	1	8	yes	complemented
272	#13063290	C₂³	1	8	yes	complemented
273	C₄×D₁₇₂	C₂³	1	16	yes	complemented
274	C₄×D₁₇₂	C₂³	1	16	yes	complemented
275	D₄×Dic₄₃	C₂³	1	16	yes	complemented
276	#13063287	C₂³	1	16	yes	complemented
277	#13063287	C₂³	1	8	yes	complemented
278	#13063287	C₂³	1	8	yes	complemented
279	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
280	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
281	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
282	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
283	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
284	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
285	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
286	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
287	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
288	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
289	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	—
290	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
291	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
292	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
293	#13063282	C₂³	1	16	yes	complemented
294	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
295	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
296	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
298	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
299	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
301	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
302	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
303	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
304	C₂×Dic₄₃⋊C₄	C₂³	1	8	yes	complemented
305	C₄⋊C₄×D₄₃	C₂³	1	16	yes	complemented
306	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
307	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
308	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
309	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
310	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
311	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
312	C₂×C₂²⋊Dic₄₃	C₂³	1	8	yes	complemented
313	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
315	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
316	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
317	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
318	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
319	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
320	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
321	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
322	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
323	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
324	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
325	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	8	yes	complemented
326	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	complemented
327	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	complemented
328	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
329	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
330	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
331	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
332	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
333	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
334	C₂×C₄×Dic₄₃	C₂³	1	8	yes	complemented
335	C₄²×D₄₃	C₂³	1	16	yes	complemented
336	C₂⁵×C₄₃	C₂³	1	1	yes	characteristic
337	C₂×#41×C₄₃	—	2	8	no	—
338	C₂×#41×C₄₃	C₂³	1	8	yes	complemented
339	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
340	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
341	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
342	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
343	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
344	C₂³×C₄×C₄₃	—	2	8	no	—
345	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
346	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
347	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
348	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
349	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
350	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
351	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
352	C₂³×C₄×C₄₃	C₂³	1	8	yes	complemented
353	#123×C₄₃	C₂³	1	16	yes	complemented
354	C₂²⋊Q₈×C₄₃	C₂³	1	8	yes	complemented
355	C₂²⋊Q₈×C₄₃	C₂³	1	8	yes	complemented
356	#121×C₄₃	C₂³	1	8	yes	complemented
357	#121×C₄₃	C₂³	1	8	yes	complemented
358	#120×C₄₃	C₂³	1	16	yes	complemented
359	C₄×D₄×C₄₃	C₂³	1	16	yes	complemented
360	C₄×D₄×C₄₃	C₂³	1	16	yes	complemented
361	#117×C₄₃	C₂³	1	8	yes	complemented
362	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
363	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
364	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
365	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
366	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
367	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
368	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
369	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
370	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
371	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
372	C₂⁴×C₄₃	—	2	4	no	—
373	C₂⁴×C₄₃	—	2	4	no	—
374	C₂⁴×C₄₃	—	4	2	no	—
375	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
376	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
377	C₂⁴×C₄₃	C₂⁴	1	4	yes	—
378	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
379	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
380	C₂³×D₄₃	—	2	4	no	—
381	C₂³×D₄₃	—	2	8	no	—
382	C₂³×D₄₃	—	2	8	no	—
383	C₂³×D₄₃	—	2	8	no	—
384	C₂³×D₄₃	—	2	8	no	—
385	C₂³×D₄₃	—	2	4	no	—
386	C₂³×D₄₃	—	4	4	no	—
387	C₂³×D₄₃	—	4	4	no	—
388	C₂³×D₄₃	—	4	2	no	—
389	C₂³×D₄₃	C₂⁴	1	2	yes	—
390	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
391	C₂³×D₄₃	C₂⁴	1	8	yes	—
392	C₂³×D₄₃	C₂⁴	1	8	yes	—
393	C₂³×D₄₃	C₂⁴	1	4	yes	—
394	C₂³×D₄₃	C₂⁴	1	2	yes	—
395	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
396	#41×C₄₃	—	2	32	no	—
397	C₂×Q₈×C₄₃	—	2	4	no	—
398	C₂×Q₈×C₄₃	C₂⁴	1	4	yes	—
399	C₂×D₄×C₄₃	—	2	4	no	—
400	C₂×D₄×C₄₃	—	2	8	no	—
401	C₂×D₄×C₄₃	—	2	8	no	—
402	C₂×D₄×C₄₃	—	4	4	no	—
403	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
404	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
405	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
406	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
407	C₂²×C₄×C₄₃	—	2	4	no	—
408	C₂²×C₄×C₄₃	—	2	4	no	—
409	C₂²×C₄×C₄₃	—	2	4	no	—
410	C₂²×C₄×C₄₃	—	2	4	no	—
411	C₂²×C₄×C₄₃	—	2	8	no	—
412	C₂²×C₄×C₄₃	—	2	32	no	—
413	C₂²×C₄×C₄₃	—	2	4	no	—
414	C₂²×C₄×C₄₃	C₂×D₄	1	8	yes	complemented
415	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
416	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
417	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
418	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
419	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
420	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
421	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
422	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
423	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
424	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
425	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
426	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
428	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
429	C₂×C₂²⋊D₄₃	—	2	64	no	—
430	C₂×C₂²⋊D₄₃	—	2	32	no	—
431	C₂×C₂²⋊D₄₃	—	2	8	no	—
432	C₂×C₂²⋊D₄₃	—	2	8	no	—
433	C₂×C₂²⋊D₄₃	—	2	8	no	—
434	C₂×C₂²⋊D₄₃	—	2	4	no	—
435	C₂×C₂²⋊D₄₃	—	2	8	no	—
436	C₂×C₂²⋊D₄₃	—	2	4	no	—
437	C₂×C₂²⋊D₄₃	—	2	8	no	—
438	C₂×C₂²⋊D₄₃	—	2	8	no	—
439	C₂×C₂²⋊D₄₃	—	2	4	no	—
440	C₂×C₂²⋊D₄₃	—	4	4	no	—
441	C₂×C₂²⋊D₄₃	C₂×D₄	1	16	yes	complemented
442	C₂×C₂²⋊D₄₃	#41	1	8	yes	complemented
443	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
444	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
445	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
446	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
447	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
448	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
449	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
450	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
451	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
452	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
453	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
454	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
455	C₂²×Dic₄₃	—	2	8	no	—
456	C₂²×Dic₄₃	—	2	8	no	—
457	C₂²×Dic₄₃	—	2	4	no	—
458	C₂²×Dic₄₃	—	2	4	no	—
459	C₂²×Dic₄₃	—	4	2	no	—
460	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
461	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
462	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
463	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
464	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
465	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
466	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
467	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
468	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
469	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
470	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
471	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
472	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
473	#10621902	—	2	32	no	—
474	Q₈×D₄₃	—	2	32	no	—
475	#10621900	—	2	64	no	—
476	#10621900	—	2	32	no	—
477	D₄×D₄₃	—	2	64	no	—
478	D₄×D₄₃	—	2	64	no	—
479	D₄×D₄₃	—	2	32	no	—
480	#10621898	—	2	32	no	—
481	#10621898	—	2	64	no	—
482	#10621898	—	2	32	no	—
483	#10621898	—	2	64	no	—
484	#10621898	—	2	64	no	—
485	#10621898	—	2	32	no	—
486	#10621898	C₂×D₄	1	64	yes	complemented
487	C₂×D₁₇₂	—	2	4	no	—
488	C₂×D₁₇₂	—	2	32	no	—
489	C₂×D₁₇₂	—	2	8	no	—
490	C₂×D₁₇₂	—	2	8	no	—
491	C₂×D₁₇₂	—	2	8	no	—
492	C₂×D₁₇₂	—	4	4	no	—
493	C₂×D₁₇₂	C₂×D₄	1	8	yes	complemented
494	C₂×D₁₇₂	C₂⁴	1	8	yes	—
495	C₂×D₁₇₂	C₂⁴	1	8	yes	—
496	C₂×D₁₇₂	C₂⁴	1	8	yes	—
497	C₂×D₁₇₂	C₂⁴	1	4	yes	—
498	C₂×D₁₇₂	C₂⁴	1	8	yes	—
499	C₂×D₁₇₂	C₂⁴	1	4	yes	—
500	C₂×C₄×D₄₃	—	2	4	no	—
501	C₂×C₄×D₄₃	—	2	4	no	—
502	C₂×C₄×D₄₃	—	2	4	no	—
503	C₂×C₄×D₄₃	—	2	4	no	—
504	C₂×C₄×D₄₃	—	2	8	no	—
505	C₂×C₄×D₄₃	—	2	32	no	—
506	C₂×C₄×D₄₃	—	2	8	no	—
507	C₂×C₄×D₄₃	—	2	8	no	—
508	C₂×C₄×D₄₃	—	2	8	no	—
509	C₂×C₄×D₄₃	—	2	64	no	—
510	C₂×C₄×D₄₃	—	2	64	no	—
511	C₂×C₄×D₄₃	—	2	8	no	—
512	C₂×C₄×D₄₃	—	2	8	no	—
513	C₂×C₄×D₄₃	—	4	4	no	—
514	C₂×C₄×D₄₃	C₂×D₄	1	16	yes	complemented
515	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
516	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
517	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
518	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
519	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
520	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
521	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
522	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
523	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
524	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
525	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
526	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
527	C₂×Dic₈₆	—	2	4	no	—
528	C₂×Dic₈₆	—	2	8	no	—
529	C₂×Dic₈₆	—	2	8	no	—
530	C₂×Dic₈₆	—	2	32	no	—
531	C₂×Dic₈₆	C₂×D₄	1	8	yes	complemented
532	C₂×Dic₈₆	C₂⁴	1	8	yes	—
533	C₂×Dic₈₆	C₂⁴	1	8	yes	—
534	C₂×Dic₈₆	C₂⁴	1	4	yes	—
535	C₂×Dic₈₆	C₂⁴	1	4	yes	—
536	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
537	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
538	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
539	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
540	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
541	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
542	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
543	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
544	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
545	C₄²×C₄₃	C₂⁴	1	8	yes	—
546	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
547	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
548	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
549	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
550	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
551	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
552	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
553	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
554	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
555	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
556	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
557	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
558	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
559	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
560	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
561	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
562	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
563	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
564	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
565	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
566	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
567	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
568	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
569	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
570	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
571	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
572	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
573	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
574	C₄×Dic₄₃	C₂⁴	1	4	yes	—
575	C₄×Dic₄₃	C₂⁴	1	8	yes	—
576	C₄×Dic₄₃	C₂⁴	1	8	yes	—
577	C₄×Dic₄₃	C₂⁴	1	4	yes	—
578	C₄×Dic₄₃	C₂⁴	1	4	yes	—
579	C₄×Dic₄₃	C₂⁴	1	4	yes	—
580	C₂³×C₄₃	—	2	2	no	—
581	C₂³×C₄₃	—	2	2	no	—
582	C₂³×C₄₃	—	2	2	no	—
583	C₂³×C₄₃	—	2	2	no	—
584	C₂³×C₄₃	—	2	4	no	—
585	C₂³×C₄₃	—	2	8	no	—
586	C₂³×C₄₃	—	2	2	no	—
587	C₂³×C₄₃	—	2	2	no	—
588	C₂³×C₄₃	—	2	4	no	—
589	C₂³×C₄₃	—	2	8	no	—
590	C₂³×C₄₃	—	2	4	no	—
591	C₂³×C₄₃	—	2	2	no	—
592	C₂³×C₄₃	—	4	4	no	—
593	C₂³×C₄₃	—	4	16	no	—
594	C₂³×C₄₃	C₂²×D₄	1	4	yes	—
595	C₂³×C₄₃	C₂×#41	1	4	yes	complemented
596	C₂³×C₄₃	C₂⁵	1	4	yes	—
597	C₂³×C₄₃	C₂⁵	1	2	yes	—
598	C₂³×C₄₃	C₂⁵	1	2	yes	—
599	C₂³×C₄₃	C₂⁵	1	2	yes	—
600	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
601	C₂²×D₄₃	—	2	2	no	—
602	C₂²×D₄₃	—	2	4	no	—
603	C₂²×D₄₃	—	2	4	no	—
604	C₂²×D₄₃	—	2	2	no	—
605	C₂²×D₄₃	—	2	2	no	—
606	C₂²×D₄₃	—	2	4	no	—
607	C₂²×D₄₃	—	2	8	no	—
608	C₂²×D₄₃	—	2	4	no	—
609	C₂²×D₄₃	—	2	2	no	—
610	C₂²×D₄₃	—	2	16	no	—
611	C₂²×D₄₃	—	2	2	no	—
612	C₂²×D₄₃	—	2	4	no	—
613	C₂²×D₄₃	—	2	16	no	—
614	C₂²×D₄₃	—	2	16	no	—
615	C₂²×D₄₃	—	2	16	no	—
616	C₂²×D₄₃	—	2	8	no	—
617	C₂²×D₄₃	—	4	8	no	—
618	C₂²×D₄₃	—	4	4	no	—
619	C₂²×D₄₃	—	4	8	no	—
620	C₂²×D₄₃	—	4	32	no	—
621	C₂²×D₄₃	—	4	16	no	—
622	C₂²×D₄₃	—	4	32	no	—
623	C₂²×D₄₃	C₂²×D₄	1	8	yes	—
624	C₂²×D₄₃	C₂×#41	1	4	yes	complemented
625	C₂²×D₄₃	C₂⁵	1	4	yes	—
626	C₂²×D₄₃	C₂⁵	1	2	yes	—
627	C₂²×D₄₃	C₂⁵	1	4	yes	—
628	C₂²×D₄₃	C₂⁵	1	2	yes	—
629	Q₈×C₄₃	—	2	8	no	—
630	D₄×C₄₃	—	2	16	no	—
631	D₄×C₄₃	—	2	16	no	—
632	D₄×C₄₃	—	2	8	no	—
633	D₄×C₄₃	—	4	8	no	—
634	C₂×C₄×C₄₃	—	2	2	no	—
635	C₂×C₄×C₄₃	—	2	4	no	—
636	C₂×C₄×C₄₃	—	2	2	no	—
637	C₂×C₄×C₄₃	—	2	8	no	—
638	C₂×C₄×C₄₃	—	2	4	no	—
639	C₂×C₄×C₄₃	—	2	4	no	—
640	C₂×C₄×C₄₃	—	2	8	no	—
641	C₂×C₄×C₄₃	—	2	8	no	—
642	C₂×C₄×C₄₃	—	2	16	no	—
643	C₂×C₄×C₄₃	—	2	8	no	—
644	C₂×C₄×C₄₃	—	2	8	no	—
645	C₂×C₄×C₄₃	C₂²×D₄	1	4	yes	—
646	C₂×C₄×C₄₃	C₂²×D₄	1	4	yes	—
647	C₂×C₄×C₄₃	C₂²×D₄	1	16	yes	complemented
648	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
649	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
650	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
651	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
652	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
653	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
654	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
655	C₂²⋊D₄₃	—	2	16	no	—
656	C₂²⋊D₄₃	—	2	8	no	—
657	C₂²⋊D₄₃	—	2	16	no	—
658	C₂²⋊D₄₃	—	2	16	no	—
659	C₂²⋊D₄₃	—	2	8	no	—
660	C₂²⋊D₄₃	—	2	16	no	—
661	C₂²⋊D₄₃	—	2	16	no	—
662	C₂²⋊D₄₃	—	2	16	no	—
663	C₂²⋊D₄₃	—	2	8	no	—
664	C₂²⋊D₄₃	—	4	8	no	—
665	C₂²⋊D₄₃	C₂²×D₄	1	32	yes	complemented
666	C₂²⋊D₄₃	C₂×#41	1	16	yes	complemented
667	C₂×Dic₄₃	—	2	4	no	—
668	C₂×Dic₄₃	—	2	2	no	—
669	C₂×Dic₄₃	—	2	2	no	—
670	C₂×Dic₄₃	—	2	8	no	—
671	C₂×Dic₄₃	—	2	2	no	—
672	C₂×Dic₄₃	—	2	2	no	—
673	C₂×Dic₄₃	—	2	2	no	—
674	C₂×Dic₄₃	—	2	16	no	—
675	C₂×Dic₄₃	—	2	16	no	—
676	C₂×Dic₄₃	—	2	8	no	—
677	C₂×Dic₄₃	—	4	4	no	—
678	C₂×Dic₄₃	C₂²×D₄	1	8	yes	—
679	C₂×Dic₄₃	C₂×#41	1	4	yes	complemented
680	C₂×Dic₄₃	C₂⁵	1	2	yes	—
681	C₂×Dic₄₃	C₂⁵	1	2	yes	—
682	C₂×Dic₄₃	C₂⁵	1	2	yes	—
683	C₂×Dic₄₃	C₂⁵	1	4	yes	—
684	C₂×Dic₄₃	C₂⁵	1	2	yes	—
685	C₂×Dic₄₃	C₂⁵	1	2	yes	—
686	C₂×Dic₄₃	C₂⁵	1	4	yes	—
687	C₂×Dic₄₃	C₂⁵	1	2	yes	—
688	D₁₇₂	—	2	16	no	—
689	D₁₇₂	—	2	16	no	—
690	D₁₇₂	—	2	16	no	—
691	D₁₇₂	—	2	8	no	—
692	D₁₇₂	—	4	8	no	—
693	D₁₇₂	C₂²×D₄	1	16	yes	complemented
694	C₄×D₄₃	—	2	16	no	—
695	C₄×D₄₃	—	2	16	no	—
696	C₄×D₄₃	—	2	8	no	—
697	C₄×D₄₃	—	2	8	no	—
698	C₄×D₄₃	—	2	16	no	—
699	C₄×D₄₃	—	2	8	no	—
700	C₄×D₄₃	—	2	8	no	—
701	C₄×D₄₃	—	2	16	no	—
702	C₄×D₄₃	—	2	16	no	—
703	C₄×D₄₃	—	2	16	no	—
704	C₄×D₄₃	—	4	8	no	—
705	C₄×D₄₃	C₂²×D₄	1	32	yes	complemented
706	Dic₈₆	—	2	8	no	—
707	Dic₈₆	—	2	16	no	—
708	Dic₈₆	—	2	16	no	—
709	Dic₈₆	C₂²×D₄	1	16	yes	complemented
710	C₂×D₄×#41	—	43	1	no	maximal, Sylow
711	C₂²×C₄₃	—	2	2	no	—
712	C₂²×C₄₃	—	2	2	no	—
713	C₂²×C₄₃	—	2	2	no	—
714	C₂²×C₄₃	—	2	2	no	—
715	C₂²×C₄₃	—	2	8	no	—
716	C₂²×C₄₃	—	2	8	no	—
717	C₂²×C₄₃	—	2	4	no	—
718	C₂²×C₄₃	—	2	2	no	—
719	C₂²×C₄₃	—	2	4	no	—
720	C₂²×C₄₃	—	2	2	no	—
721	C₂²×C₄₃	—	2	4	no	—
722	C₂²×C₄₃	—	2	2	no	—
723	C₂²×C₄₃	—	4	16	no	—
724	C₂²×C₄₃	—	4	8	no	—
725	C₂²×C₄₃	—	4	4	no	—
726	C₂²×C₄₃	C₂³×D₄	1	4	yes	—
727	C₂²×C₄₃	C₂³×D₄	1	2	yes	—
728	C₂²×C₄₃	C₂²×#41	1	2	yes	—
729	C₂²×C₄₃	C₂²×#41	1	4	yes	complemented
730	C₂²×C₄₃	#585	1	2	yes	—
731	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
732	C₂×D₄₃	—	2	2	no	—
733	C₂×D₄₃	—	2	4	no	—
734	C₂×D₄₃	—	2	2	no	—
735	C₂×D₄₃	—	2	4	no	—
736	C₂×D₄₃	—	2	8	no	—
737	C₂×D₄₃	—	2	16	no	—
738	C₂×D₄₃	—	2	2	no	—
739	C₂×D₄₃	—	2	4	no	—
740	C₂×D₄₃	—	2	4	no	—
741	C₂×D₄₃	—	2	2	no	—
742	C₂×D₄₃	—	2	2	no	—
743	C₂×D₄₃	—	2	4	no	—
744	C₂×D₄₃	—	4	32	no	—
745	C₂×D₄₃	—	4	16	no	—
746	C₂×D₄₃	—	4	32	no	—
747	C₂×D₄₃	—	4	8	no	—
748	C₂×D₄₃	—	4	4	no	—
749	C₂×D₄₃	C₂³×D₄	1	8	yes	—
750	C₂×D₄₃	C₂²×#41	1	4	yes	complemented
751	C₄×C₄₃	—	2	2	no	—
752	C₄×C₄₃	—	2	4	no	—
753	C₄×C₄₃	—	2	2	no	—
754	C₄×C₄₃	—	2	4	no	—
755	C₄×C₄₃	—	2	4	no	—
756	C₄×C₄₃	C₂³×D₄	1	4	yes	—
757	C₄×C₄₃	C₂³×D₄	1	4	yes	—
758	Dic₄₃	—	2	4	no	—
759	Dic₄₃	—	2	2	no	—
760	Dic₄₃	—	2	2	no	—
761	Dic₄₃	—	2	2	no	—
762	Dic₄₃	—	2	2	no	—
763	Dic₄₃	—	2	2	no	—
764	Dic₄₃	C₂³×D₄	1	8	yes	—
765	Dic₄₃	C₂²×#41	1	4	yes	complemented
766	C₂³×#41	—	43	1	no	—
767	C₂³×#41	—	43	1	no	—
768	D₄×#41	—	43	32	no	—
769	C₂×#550	—	43	1	no	—
770	C₂×D₄×Q₈	—	43	1	no	—
771	C₂×#548	—	43	1	no	—
772	C₂×#548	—	43	1	no	—
773	C₂×#547	—	43	2	no	—
774	C₂×#547	—	43	1	no	—
775	C₂×#546	—	43	2	no	—
776	C₂×#546	—	43	1	no	—
777	C₂×#546	—	43	1	no	—
778	C₂×#546	—	43	2	no	—
779	C₂×D₄²	—	43	1	no	—
780	C₂×D₄²	—	43	2	no	—
781	C₂×#532	—	43	1	no	—
782	C₂×#532	—	43	2	no	—
783	C₂×#525	—	43	2	no	—
784	C₂×#525	—	43	2	no	—
785	C₂×#525	—	43	1	no	—
786	C₂×#525	D₄₃	1	1	yes	characteristic, complemented
787	C₂×C₄×#41	—	43	1	no	—
788	C₂²×C₄×D₄	—	43	1	no	—
789	C₂²×C₄×D₄	—	43	2	no	—
790	C₂×C₄₃	—	2	4	no	—
791	C₂×C₄₃	—	2	4	no	—
792	C₂×C₄₃	—	4	4	no	—
793	C₂×C₄₃	—	4	2	no	—
794	C₂×C₄₃	D₄×#41	1	4	yes	complemented
795	C₂×C₄₃	C₂⁴×D₄	1	1	yes	characteristic
796	C₂×C₄₃	C₂³×#41	1	1	yes	characteristic
797	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
798	D₄₃	—	2	4	no	—
799	D₄₃	—	2	8	no	—
800	D₄₃	—	4	4	no	—
801	D₄₃	—	4	2	no	—
802	C₂²×#41	—	43	16	no	—
803	C₂²×#41	—	43	1	no	—
804	C₂²×#41	—	43	2	no	—
805	C₂²×#41	—	43	1	no	—
806	C₂²×#41	—	43	1	no	—
807	C₂²×#41	—	43	2	no	—
808	C₂²×#41	—	43	2	no	—
809	C₂²×#41	—	43	1	no	—
810	C₂²×#41	—	43	1	no	—
811	C₂²×#41	—	43	2	no	—
812	C₂²×#41	—	43	1	no	—
813	C₂²×#41	—	43	16	no	—
814	C₂²×#41	—	86	16	no	—
815	C₂²×#41	—	86	16	no	—
816	C₂²×#41	C₂×D₄₃	1	1	yes	characteristic, complemented
817	C₂³×Q₈	—	43	1	no	—
818	C₂³×Q₈	—	43	1	no	—
819	C₂³×D₄	—	43	2	no	—
820	C₂³×D₄	—	43	1	no	—
821	C₂³×D₄	—	43	2	no	—
822	C₂³×D₄	—	43	1	no	—
823	C₂³×D₄	—	43	2	no	—
824	C₂³×D₄	—	43	1	no	—
825	C₂⁴×C₄	—	43	2	no	—
826	C₂⁴×C₄	—	43	2	no	—
827	C₂⁴×C₄	—	43	1	no	—
828	C₂⁴×C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
829	#550	—	43	16	no	—
830	D₄×Q₈	—	43	16	no	—
831	#548	—	43	16	no	—
832	#548	—	43	16	no	—
833	#547	—	43	32	no	—
834	#547	—	43	16	no	—
835	#546	—	43	32	no	—
836	#546	—	43	16	no	—
837	#546	—	43	16	no	—
838	#546	—	43	32	no	—
839	D₄²	—	43	16	no	—
840	D₄²	—	43	32	no	—
841	#532	—	43	16	no	—
842	#532	—	43	32	no	—
843	C₂×C₄⋊Q₈	—	43	1	no	—
844	C₂×C₄⋊Q₈	—	43	2	no	—
845	C₂×#127	—	43	2	no	—
846	C₂×#127	—	43	1	no	—
847	C₂×#124	—	43	1	no	—
848	C₂×#124	—	43	1	no	—
849	C₂×#124	—	43	2	no	—
850	C₂×#124	—	43	2	no	—
851	#525	—	43	32	no	—
852	#525	—	43	32	no	—
853	#525	—	43	16	no	—
854	#525	C₂×D₄₃	1	16	yes	complemented
855	C₂×#123	—	43	2	no	—
856	C₂×#123	—	43	2	no	—
857	C₂×#123	—	43	2	no	—
858	C₂×#123	—	43	2	no	—
859	C₂×#123	—	43	2	no	—
860	C₂×#123	C₂×D₄₃	1	2	yes	complemented
861	C₂×C₂²⋊Q₈	—	43	2	no	—
862	C₂×C₂²⋊Q₈	—	43	2	no	—
863	C₂×C₂²⋊Q₈	—	43	1	no	—
864	C₂×C₂²⋊Q₈	—	43	1	no	—
865	C₂×C₂²⋊Q₈	—	43	2	no	—
866	C₂×C₂²⋊Q₈	—	43	2	no	—
867	C₂×C₂²⋊Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
868	C₂×C₂²⋊Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
869	C₂×#121	—	43	2	no	—
870	C₂×#121	—	43	2	no	—
871	C₂×#121	—	43	2	no	—
872	C₂×#121	—	43	2	no	—
873	C₂×#121	—	43	2	no	—
874	C₂×#121	—	43	1	no	—
875	C₂×#121	—	43	1	no	—
876	C₂×#121	—	43	2	no	—
877	C₂×#121	—	43	2	no	—
878	C₂×#121	—	43	2	no	—
879	C₂×#121	—	43	2	no	—
880	C₂×#121	—	43	2	no	—
881	C₂×#121	C₂×D₄₃	1	1	yes	characteristic, complemented
882	C₂×#121	C₂×D₄₃	1	1	yes	characteristic, complemented
883	C₂×#120	—	43	2	no	—
884	C₂×#120	—	43	2	no	—
885	C₂×#120	—	43	2	no	—
886	C₂×#120	—	43	2	no	—
887	C₂×#120	—	43	2	no	—
888	C₂×#120	C₂×D₄₃	1	2	yes	complemented
889	C₄×#41	—	43	16	no	—
890	C₂×C₄×Q₈	—	43	1	no	—
891	C₂×C₄×Q₈	—	43	1	no	—
892	C₂×C₄×D₄	—	43	2	no	—
893	C₂×C₄×D₄	—	43	1	no	—
894	C₂×C₄×D₄	—	43	1	no	—
895	C₂×C₄×D₄	—	43	1	no	—
896	C₂×C₄×D₄	—	43	1	no	—
897	C₂×C₄×D₄	—	43	2	no	—
898	C₂×C₄×D₄	—	43	1	no	—
899	C₂×C₄×D₄	—	43	1	no	—
900	C₂×C₄×D₄	—	43	1	no	—
901	C₂×C₄×D₄	—	43	1	no	—
902	C₂×C₄×D₄	—	43	2	no	—
903	C₂×C₄×D₄	—	43	16	no	—
904	C₂×C₄×D₄	—	43	32	no	—
905	C₂×C₄×D₄	—	43	2	no	—
906	C₂×C₄×D₄	—	43	1	no	—
907	C₂×C₄×D₄	—	43	1	no	—
908	C₂×C₄×D₄	—	43	2	no	—
909	C₂×C₄×D₄	—	43	2	no	—
910	C₂×C₄×D₄	—	43	2	no	—
911	C₂×C₄×D₄	—	43	2	no	—
912	C₂×C₄×D₄	—	43	2	no	—
913	C₂×C₄×D₄	—	43	2	no	—
914	C₂×C₄×D₄	C₂×D₄₃	1	2	yes	complemented
915	C₂×C₄×D₄	C₂×D₄₃	1	2	yes	complemented
916	C₂×#117	—	43	2	no	—
917	C₂×#117	C₂×D₄₃	1	1	yes	characteristic, complemented
918	C₂²×C₄⋊C₄	—	43	1	no	—
919	C₂²×C₄⋊C₄	—	43	2	no	—
920	C₂²×C₂²⋊C₄	—	43	1	no	—
921	C₂²×C₂²⋊C₄	—	43	1	no	—
922	C₂²×C₂²⋊C₄	—	43	2	no	—
923	C₂²×C₂²⋊C₄	—	43	2	no	—
924	C₂²×C₄²	—	43	1	no	—
925	C₂²×C₄²	—	43	2	no	—
926	C₄₃	C₂×D₄×#41	1	1	yes	characteristic, complemented, Sylow
927	C₂⁵	—	43	2	no	—
928	C₂⁵	—	43	1	no	—
929	C₂⁵	—	43	2	no	—
930	C₂⁵	C₂²×D₄₃	1	1	yes	characteristic
931	C₂×#41	—	2	8	no	—
932	C₂×#41	—	43	8	no	—
933	C₂×#41	—	43	16	no	—
934	C₂×#41	—	43	8	no	—
935	C₂×#41	—	43	16	no	—
936	C₂×#41	—	43	8	no	—
937	C₂×#41	—	43	16	no	—
938	C₂×#41	—	43	16	no	—
939	C₂×#41	—	43	8	no	—
940	C₂×#41	—	43	8	no	—
941	C₂×#41	—	43	16	no	—
942	C₂×#41	—	43	8	no	—
943	C₂×#41	—	86	16	no	—
944	C₂×#41	—	86	16	no	—
945	C₂×#41	—	86	16	no	—
946	C₂×#41	—	86	8	no	—
947	C₂×#41	—	86	8	no	—
948	C₂×#41	—	86	128	no	—
949	C₂×#41	—	86	16	no	—
950	C₂×#41	—	86	8	no	—
951	C₂×#41	—	86	8	no	—
952	C₂×#41	—	86	128	no	—
953	C₂×#41	—	86	8	no	—
954	C₂×#41	C₂²×D₄₃	1	8	yes	complemented
955	C₂²×Q₈	—	43	8	no	—
956	C₂²×Q₈	—	43	1	no	—
957	C₂²×Q₈	—	43	2	no	—
958	C₂²×Q₈	—	43	2	no	—
959	C₂²×Q₈	—	43	1	no	—
960	C₂²×Q₈	—	43	8	no	—
961	C₂²×Q₈	—	86	8	no	—
962	C₂²×Q₈	—	86	8	no	—
963	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
964	C₂²×D₄	—	43	1	no	—
965	C₂²×D₄	—	43	2	no	—
966	C₂²×D₄	—	43	1	no	—
967	C₂²×D₄	—	43	1	no	—
968	C₂²×D₄	—	43	2	no	—
969	C₂²×D₄	—	43	1	no	—
970	C₂²×D₄	—	43	8	no	—
971	C₂²×D₄	—	43	2	no	—
972	C₂²×D₄	—	43	2	no	—
973	C₂²×D₄	—	43	2	no	—
974	C₂²×D₄	—	43	2	no	—
975	C₂²×D₄	—	43	2	no	—
976	C₂²×D₄	—	43	16	no	—
977	C₂²×D₄	—	43	2	no	—
978	C₂²×D₄	—	43	16	no	—
979	C₂²×D₄	—	43	16	no	—
980	C₂²×D₄	—	43	8	no	—
981	C₂²×D₄	—	43	1	no	—
982	C₂²×D₄	—	43	2	no	—
983	C₂²×D₄	—	43	2	no	—
984	C₂²×D₄	—	43	2	no	—
985	C₂²×D₄	—	43	1	no	—
986	C₂²×D₄	—	43	8	no	—
987	C₂²×D₄	—	43	2	no	—
988	C₂²×D₄	—	86	8	no	—
989	C₂²×D₄	—	86	16	no	—
990	C₂²×D₄	—	86	8	no	—
991	C₂²×D₄	—	86	16	no	—
992	C₂²×D₄	—	86	16	no	—
993	C₂²×D₄	—	86	8	no	—
994	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
995	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
996	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
997	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
998	C₂³×C₄	—	2	8	no	—
999	C₂³×C₄	—	43	2	no	—
1000	C₂³×C₄	—	43	1	no	—
1001	C₂³×C₄	—	43	1	no	—
1002	C₂³×C₄	—	43	2	no	—
1003	C₂³×C₄	—	43	2	no	—
1004	C₂³×C₄	—	43	1	no	—
1005	C₂³×C₄	—	43	2	no	—
1006	C₂³×C₄	—	43	2	no	—
1007	C₂³×C₄	—	43	2	no	—
1008	C₂³×C₄	—	43	2	no	—
1009	C₂³×C₄	—	43	1	no	—
1010	C₂³×C₄	—	43	2	no	—
1011	C₂³×C₄	—	43	1	no	—
1012	C₂³×C₄	—	43	16	no	—
1013	C₂³×C₄	—	43	16	no	—
1014	C₂³×C₄	—	43	8	no	—
1015	C₂³×C₄	—	43	1	no	—
1016	C₂³×C₄	—	43	1	no	—
1017	C₂³×C₄	—	43	2	no	—
1018	C₂³×C₄	—	43	2	no	—
1019	C₂³×C₄	—	86	16	no	—
1020	C₂³×C₄	—	86	16	no	—
1021	C₂³×C₄	—	86	8	no	—
1022	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1023	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1024	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1025	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1026	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
1027	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1028	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1029	C₂³×C₄	C₂²×D₄₃	1	8	yes	complemented
1030	C₄⋊Q₈	—	43	8	no	—
1031	C₄⋊Q₈	—	43	16	no	—
1032	#127	—	43	16	no	—
1033	#127	—	43	8	no	—
1034	#124	—	43	8	no	—
1035	#124	—	43	8	no	—
1036	#124	—	43	16	no	—
1037	#124	—	43	16	no	—
1038	#123	—	43	16	no	—
1039	#123	—	43	16	no	—
1040	#123	—	43	16	no	—
1041	#123	—	43	16	no	—
1042	#123	—	43	16	no	—
1043	#123	C₂²×D₄₃	1	16	yes	complemented
1044	C₂²⋊Q₈	—	43	16	no	—
1045	C₂²⋊Q₈	—	43	8	no	—
1046	C₂²⋊Q₈	—	43	16	no	—
1047	C₂²⋊Q₈	—	43	8	no	—
1048	C₂²⋊Q₈	—	43	16	no	—
1049	C₂²⋊Q₈	—	43	16	no	—
1050	C₂²⋊Q₈	C₂²×D₄₃	1	8	yes	complemented
1051	C₂²⋊Q₈	C₂²×D₄₃	1	8	yes	complemented
1052	#121	—	43	16	no	—
1053	#121	—	43	16	no	—
1054	#121	—	43	16	no	—
1055	#121	—	43	16	no	—
1056	#121	—	43	16	no	—
1057	#121	—	43	8	no	—
1058	#121	—	43	8	no	—
1059	#121	—	43	16	no	—
1060	#121	—	43	16	no	—
1061	#121	—	43	16	no	—
1062	#121	—	43	16	no	—
1063	#121	—	43	16	no	—
1064	#121	C₂²×D₄₃	1	8	yes	complemented
1065	#121	C₂²×D₄₃	1	8	yes	complemented
1066	#120	—	43	16	no	—
1067	#120	—	43	16	no	—
1068	#120	—	43	16	no	—
1069	#120	—	43	16	no	—
1070	#120	—	43	16	no	—
1071	#120	C₂²×D₄₃	1	16	yes	complemented
1072	C₄×Q₈	—	43	8	no	—
1073	C₄×Q₈	—	43	8	no	—
1074	C₄×D₄	—	43	16	no	—
1075	C₄×D₄	—	43	8	no	—
1076	C₄×D₄	—	43	8	no	—
1077	C₄×D₄	—	43	8	no	—
1078	C₄×D₄	—	43	16	no	—
1079	C₄×D₄	—	43	8	no	—
1080	C₄×D₄	—	43	8	no	—
1081	C₄×D₄	—	43	8	no	—
1082	C₄×D₄	—	43	8	no	—
1083	C₄×D₄	—	43	8	no	—
1084	C₄×D₄	—	43	16	no	—
1085	C₄×D₄	—	43	16	no	—
1086	C₄×D₄	—	43	8	no	—
1087	C₄×D₄	—	43	8	no	—
1088	C₄×D₄	—	43	16	no	—
1089	C₄×D₄	—	43	16	no	—
1090	C₄×D₄	—	43	16	no	—
1091	C₄×D₄	—	43	16	no	—
1092	C₄×D₄	—	43	16	no	—
1093	C₄×D₄	—	43	16	no	—
1094	C₄×D₄	C₂²×D₄₃	1	16	yes	complemented
1095	C₄×D₄	C₂²×D₄₃	1	16	yes	complemented
1096	#117	—	43	16	no	—
1097	#117	C₂²×D₄₃	1	8	yes	complemented
1098	C₂×C₄⋊C₄	—	43	1	no	—
1099	C₂×C₄⋊C₄	—	43	2	no	—
1100	C₂×C₄⋊C₄	—	43	1	no	—
1101	C₂×C₄⋊C₄	—	43	1	no	—
1102	C₂×C₄⋊C₄	—	43	1	no	—
1103	C₂×C₄⋊C₄	—	43	2	no	—
1104	C₂×C₄⋊C₄	—	43	8	no	—
1105	C₂×C₄⋊C₄	—	43	2	no	—
1106	C₂×C₄⋊C₄	—	43	2	no	—
1107	C₂×C₄⋊C₄	—	43	2	no	—
1108	C₂×C₄⋊C₄	—	43	2	no	—
1109	C₂×C₄⋊C₄	—	43	16	no	—
1110	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
1111	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1112	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1113	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
1114	C₂×C₂²⋊C₄	—	43	1	no	—
1115	C₂×C₂²⋊C₄	—	43	1	no	—
1116	C₂×C₂²⋊C₄	—	43	1	no	—
1117	C₂×C₂²⋊C₄	—	43	2	no	—
1118	C₂×C₂²⋊C₄	—	43	1	no	—
1119	C₂×C₂²⋊C₄	—	43	8	no	—
1120	C₂×C₂²⋊C₄	—	43	2	no	—
1121	C₂×C₂²⋊C₄	—	43	1	no	—
1122	C₂×C₂²⋊C₄	—	43	1	no	—
1123	C₂×C₂²⋊C₄	—	43	2	no	—
1124	C₂×C₂²⋊C₄	—	43	1	no	—
1125	C₂×C₂²⋊C₄	—	43	2	no	—
1126	C₂×C₂²⋊C₄	—	43	2	no	—
1127	C₂×C₂²⋊C₄	—	43	1	no	—
1128	C₂×C₂²⋊C₄	—	43	8	no	—
1129	C₂×C₂²⋊C₄	—	43	2	no	—
1130	C₂×C₂²⋊C₄	—	43	2	no	—
1131	C₂×C₂²⋊C₄	—	43	2	no	—
1132	C₂×C₂²⋊C₄	—	43	2	no	—
1133	C₂×C₂²⋊C₄	—	43	2	no	—
1134	C₂×C₂²⋊C₄	—	43	16	no	—
1135	C₂×C₂²⋊C₄	—	43	16	no	—
1136	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1137	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1138	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1139	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1140	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1141	C₂×C₄²	—	43	2	no	—
1142	C₂×C₄²	—	43	1	no	—
1143	C₂×C₄²	—	43	2	no	—
1144	C₂×C₄²	—	43	1	no	—
1145	C₂×C₄²	—	43	8	no	—
1146	C₂×C₄²	—	43	1	no	—
1147	C₂×C₄²	—	43	1	no	—
1148	C₂×C₄²	—	43	16	no	—
1149	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
1150	C₂⁴	—	2	4	no	—
1151	C₂⁴	—	2	4	no	—
1152	C₂⁴	—	4	2	no	—
1153	C₂⁴	—	43	1	no	—
1154	C₂⁴	—	43	2	no	—
1155	C₂⁴	—	43	1	no	—
1156	C₂⁴	—	43	2	no	—
1157	C₂⁴	—	43	8	no	—
1158	C₂⁴	—	43	4	no	—
1159	C₂⁴	—	43	8	no	—
1160	C₂⁴	—	86	8	no	—
1161	C₂⁴	—	86	8	no	—
1162	C₂⁴	—	86	4	no	—
1163	C₂⁴	—	86	8	no	—
1164	C₂⁴	—	86	4	no	—
1165	C₂⁴	—	86	8	no	—
1166	C₂⁴	—	172	2	no	—
1167	C₂⁴	—	172	4	no	—
1168	C₂⁴	—	172	4	no	—
1169	C₂⁴	C₂³×D₄₃	1	2	yes	—
1170	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1171	C₂⁴	C₂³×D₄₃	1	4	yes	—
1172	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1173	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1174	#41	—	2	32	no	—
1175	#41	—	43	64	no	—
1176	#41	—	86	64	no	—
1177	#41	—	86	64	no	—
1178	#41	—	86	64	no	—
1179	#41	—	86	32	no	—
1180	#41	—	86	32	no	—
1181	#41	—	86	64	no	—
1182	#41	—	86	32	no	—
1183	#41	—	86	32	no	—
1184	#41	—	86	32	no	—
1185	C₂×Q₈	—	2	4	no	—
1186	C₂×Q₈	—	43	8	no	—
1187	C₂×Q₈	—	43	4	no	—
1188	C₂×Q₈	—	43	8	no	—
1189	C₂×Q₈	—	43	8	no	—
1190	C₂×Q₈	—	43	4	no	—
1191	C₂×Q₈	—	86	8	no	—
1192	C₂×Q₈	—	86	8	no	—
1193	C₂×Q₈	—	86	32	no	—
1194	C₂×Q₈	—	86	32	no	—
1195	C₂×Q₈	—	86	4	no	—
1196	C₂×Q₈	C₂³×D₄₃	1	4	yes	—
1197	C₂×D₄	—	2	8	no	—
1198	C₂×D₄	—	2	8	no	—
1199	C₂×D₄	—	2	4	no	—
1200	C₂×D₄	—	4	4	no	—
1201	C₂×D₄	—	43	16	no	—
1202	C₂×D₄	—	43	8	no	—
1203	C₂×D₄	—	43	4	no	—
1204	C₂×D₄	—	43	8	no	—
1205	C₂×D₄	—	43	4	no	—
1206	C₂×D₄	—	43	4	no	—
1207	C₂×D₄	—	43	8	no	—
1208	C₂×D₄	—	43	4	no	—
1209	C₂×D₄	—	43	8	no	—
1210	C₂×D₄	—	43	8	no	—
1211	C₂×D₄	—	43	8	no	—
1212	C₂×D₄	—	43	8	no	—
1213	C₂×D₄	—	43	8	no	—
1214	C₂×D₄	—	43	8	no	—
1215	C₂×D₄	—	43	8	no	—
1216	C₂×D₄	—	43	4	no	—
1217	C₂×D₄	—	43	8	no	—
1218	C₂×D₄	—	43	8	no	—
1219	C₂×D₄	—	43	8	no	—
1220	C₂×D₄	—	43	4	no	—
1221	C₂×D₄	—	43	8	no	—
1222	C₂×D₄	—	86	32	no	—
1223	C₂×D₄	—	86	8	no	—
1224	C₂×D₄	—	86	8	no	—
1225	C₂×D₄	—	86	8	no	—
1226	C₂×D₄	—	86	8	no	—
1227	C₂×D₄	—	86	8	no	—
1228	C₂×D₄	—	86	8	no	—
1229	C₂×D₄	—	86	4	no	—
1230	C₂×D₄	—	86	64	no	—
1231	C₂×D₄	—	86	32	no	—
1232	C₂×D₄	—	86	64	no	—
1233	C₂×D₄	—	86	64	no	—
1234	C₂×D₄	—	86	32	no	—
1235	C₂×D₄	—	86	8	no	—
1236	C₂×D₄	—	86	8	no	—
1237	C₂×D₄	—	86	4	no	—
1238	C₂×D₄	—	86	8	no	—
1239	C₂×D₄	—	86	4	no	—
1240	C₂×D₄	—	86	4	no	—
1241	C₂×D₄	—	172	4	no	—
1242	C₂×D₄	—	172	4	no	—
1243	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1244	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1245	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1246	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1247	C₂²×C₄	—	2	4	no	—
1248	C₂²×C₄	—	2	4	no	—
1249	C₂²×C₄	—	2	4	no	—
1250	C₂²×C₄	—	2	4	no	—
1251	C₂²×C₄	—	2	4	no	—
1252	C₂²×C₄	—	2	8	no	—
1253	C₂²×C₄	—	2	32	no	—
1254	C₂²×C₄	—	43	1	no	—
1255	C₂²×C₄	—	43	2	no	—
1256	C₂²×C₄	—	43	16	no	—
1257	C₂²×C₄	—	43	8	no	—
1258	C₂²×C₄	—	43	1	no	—
1259	C₂²×C₄	—	43	1	no	—
1260	C₂²×C₄	—	43	1	no	—
1261	C₂²×C₄	—	43	4	no	—
1262	C₂²×C₄	—	43	1	no	—
1263	C₂²×C₄	—	43	1	no	—
1264	C₂²×C₄	—	43	2	no	—
1265	C₂²×C₄	—	43	4	no	—
1266	C₂²×C₄	—	43	8	no	—
1267	C₂²×C₄	—	43	8	no	—
1268	C₂²×C₄	—	43	4	no	—
1269	C₂²×C₄	—	43	8	no	—
1270	C₂²×C₄	—	43	8	no	—
1271	C₂²×C₄	—	43	8	no	—
1272	C₂²×C₄	—	43	4	no	—
1273	C₂²×C₄	—	43	4	no	—
1274	C₂²×C₄	—	43	8	no	—
1275	C₂²×C₄	—	43	8	no	—
1276	C₂²×C₄	—	43	4	no	—
1277	C₂²×C₄	—	43	8	no	—
1278	C₂²×C₄	—	43	4	no	—
1279	C₂²×C₄	—	43	8	no	—
1280	C₂²×C₄	—	86	8	no	—
1281	C₂²×C₄	—	86	8	no	—
1282	C₂²×C₄	—	86	64	no	—
1283	C₂²×C₄	—	86	64	no	—
1284	C₂²×C₄	—	86	8	no	—
1285	C₂²×C₄	—	86	8	no	—
1286	C₂²×C₄	—	86	8	no	—
1287	C₂²×C₄	—	86	8	no	—
1288	C₂²×C₄	—	86	8	no	—
1289	C₂²×C₄	—	86	4	no	—
1290	C₂²×C₄	—	86	4	no	—
1291	C₂²×C₄	—	86	4	no	—
1292	C₂²×C₄	—	86	4	no	—
1293	C₂²×C₄	—	86	4	no	—
1294	C₂²×C₄	—	86	8	no	—
1295	C₂²×C₄	—	86	4	no	—
1296	C₂²×C₄	—	86	32	no	—
1297	C₂²×C₄	—	172	4	no	—
1298	C₂²×C₄	—	172	2	no	—
1299	C₂²×C₄	D₄×D₄₃	1	8	yes	complemented
1300	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1301	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1302	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1303	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1304	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1305	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1306	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1307	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1308	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1309	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1310	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1311	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1312	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1313	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1314	C₄⋊C₄	—	43	4	no	—
1315	C₄⋊C₄	—	43	8	no	—
1316	C₄⋊C₄	—	43	4	no	—
1317	C₄⋊C₄	—	43	4	no	—
1318	C₄⋊C₄	—	43	4	no	—
1319	C₄⋊C₄	—	43	8	no	—
1320	C₄⋊C₄	—	43	8	no	—
1321	C₄⋊C₄	—	43	8	no	—
1322	C₄⋊C₄	—	43	8	no	—
1323	C₄⋊C₄	—	43	8	no	—
1324	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1325	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1326	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1327	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1328	C₂²⋊C₄	—	43	4	no	—
1329	C₂²⋊C₄	—	43	4	no	—
1330	C₂²⋊C₄	—	43	4	no	—
1331	C₂²⋊C₄	—	43	8	no	—
1332	C₂²⋊C₄	—	43	4	no	—
1333	C₂²⋊C₄	—	43	8	no	—
1334	C₂²⋊C₄	—	43	4	no	—
1335	C₂²⋊C₄	—	43	4	no	—
1336	C₂²⋊C₄	—	43	8	no	—
1337	C₂²⋊C₄	—	43	4	no	—
1338	C₂²⋊C₄	—	43	8	no	—
1339	C₂²⋊C₄	—	43	8	no	—
1340	C₂²⋊C₄	—	43	4	no	—
1341	C₂²⋊C₄	—	43	8	no	—
1342	C₂²⋊C₄	—	43	8	no	—
1343	C₂²⋊C₄	—	43	8	no	—
1344	C₂²⋊C₄	—	43	8	no	—
1345	C₂²⋊C₄	—	43	8	no	—
1346	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1347	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1348	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1349	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1350	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1351	C₄²	—	43	4	no	—
1352	C₄²	—	43	4	no	—
1353	C₄²	—	43	8	no	—
1354	C₄²	—	43	4	no	—
1355	C₄²	—	43	8	no	—
1356	C₄²	—	43	4	no	—
1357	C₄²	C₂³×D₄₃	1	8	yes	—
1358	C₂³	—	2	2	no	—
1359	C₂³	—	2	2	no	—
1360	C₂³	—	2	2	no	—
1361	C₂³	—	2	2	no	—
1362	C₂³	—	2	8	no	—
1363	C₂³	—	2	2	no	—
1364	C₂³	—	2	4	no	—
1365	C₂³	—	2	4	no	—
1366	C₂³	—	2	2	no	—
1367	C₂³	—	2	8	no	—
1368	C₂³	—	2	2	no	—
1369	C₂³	—	2	4	no	—
1370	C₂³	—	4	4	no	—
1371	C₂³	—	4	16	no	—
1372	C₂³	—	43	8	no	—
1373	C₂³	—	43	4	no	—
1374	C₂³	—	43	2	no	—
1375	C₂³	—	43	4	no	—
1376	C₂³	—	43	2	no	—
1377	C₂³	—	43	4	no	—
1378	C₂³	—	86	16	no	—
1379	C₂³	—	86	16	no	—
1380	C₂³	—	86	8	no	—
1381	C₂³	—	86	16	no	—
1382	C₂³	—	86	2	no	—
1383	C₂³	—	86	4	no	—
1384	C₂³	—	86	4	no	—
1385	C₂³	—	86	2	no	—
1386	C₂³	—	86	8	no	—
1387	C₂³	—	86	4	no	—
1388	C₂³	—	86	2	no	—
1389	C₂³	—	86	4	no	—
1390	C₂³	—	86	2	no	—
1391	C₂³	—	86	16	no	—
1392	C₂³	—	86	2	no	—
1393	C₂³	—	86	4	no	—
1394	C₂³	—	172	4	no	—
1395	C₂³	—	172	8	no	—
1396	C₂³	—	172	8	no	—
1397	C₂³	—	172	32	no	—
1398	C₂³	—	172	16	no	—
1399	C₂³	—	172	32	no	—
1400	C₂³	C₂×D₄×D₄₃	1	4	yes	—
1401	C₂³	#41×D₄₃	1	4	yes	complemented
1402	C₂³	C₂⁴×D₄₃	1	4	yes	—
1403	C₂³	C₂⁴×D₄₃	1	2	yes	—
1404	C₂³	C₂⁴×D₄₃	1	2	yes	—
1405	C₂³	C₂⁴×D₄₃	1	2	yes	—
1406	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1407	Q₈	—	2	8	no	—
1408	Q₈	—	43	16	no	—
1409	Q₈	—	86	16	no	—
1410	Q₈	—	86	16	no	—
1411	Q₈	—	86	8	no	—
1412	D₄	—	2	16	no	—
1413	D₄	—	2	16	no	—
1414	D₄	—	2	8	no	—
1415	D₄	—	4	8	no	—
1416	D₄	—	43	32	no	—
1417	D₄	—	43	16	no	—
1418	D₄	—	43	16	no	—
1419	D₄	—	86	16	no	—
1420	D₄	—	86	16	no	—
1421	D₄	—	86	16	no	—
1422	D₄	—	86	16	no	—
1423	D₄	—	86	16	no	—
1424	D₄	—	86	16	no	—
1425	D₄	—	86	8	no	—
1426	D₄	—	86	16	no	—
1427	D₄	—	86	16	no	—
1428	D₄	—	86	8	no	—
1429	D₄	—	86	16	no	—
1430	D₄	—	86	8	no	—
1431	D₄	—	86	8	no	—
1432	D₄	—	172	8	no	—
1433	D₄	—	172	8	no	—
1434	C₂×C₄	—	2	2	no	—
1435	C₂×C₄	—	2	2	no	—
1436	C₂×C₄	—	2	8	no	—
1437	C₂×C₄	—	2	4	no	—
1438	C₂×C₄	—	2	4	no	—
1439	C₂×C₄	—	2	4	no	—
1440	C₂×C₄	—	2	8	no	—
1441	C₂×C₄	—	2	8	no	—
1442	C₂×C₄	—	2	8	no	—
1443	C₂×C₄	—	2	8	no	—
1444	C₂×C₄	—	2	16	no	—
1445	C₂×C₄	—	43	8	no	—
1446	C₂×C₄	—	43	4	no	—
1447	C₂×C₄	—	43	2	no	—
1448	C₂×C₄	—	43	4	no	—
1449	C₂×C₄	—	43	32	no	—
1450	C₂×C₄	—	43	2	no	—
1451	C₂×C₄	—	43	2	no	—
1452	C₂×C₄	—	43	2	no	—
1453	C₂×C₄	—	43	2	no	—
1454	C₂×C₄	—	43	2	no	—
1455	C₂×C₄	—	43	4	no	—
1456	C₂×C₄	—	86	16	no	—
1457	C₂×C₄	—	86	16	no	—
1458	C₂×C₄	—	86	16	no	—
1459	C₂×C₄	—	86	16	no	—
1460	C₂×C₄	—	86	16	no	—
1461	C₂×C₄	—	86	16	no	—
1462	C₂×C₄	—	86	16	no	—
1463	C₂×C₄	—	86	8	no	—
1464	C₂×C₄	—	86	2	no	—
1465	C₂×C₄	—	86	4	no	—
1466	C₂×C₄	—	86	2	no	—
1467	C₂×C₄	—	86	8	no	—
1468	C₂×C₄	—	86	2	no	—
1469	C₂×C₄	—	86	2	no	—
1470	C₂×C₄	—	86	2	no	—
1471	C₂×C₄	—	86	8	no	—
1472	C₂×C₄	—	86	8	no	—
1473	C₂×C₄	—	86	8	no	—
1474	C₂×C₄	—	86	16	no	—
1475	C₂×C₄	—	86	8	no	—
1476	C₂×C₄	—	172	8	no	—
1477	C₂×C₄	—	172	4	no	—
1478	C₂×C₄	C₂×D₄×D₄₃	1	4	yes	—
1479	C₂×C₄	C₂×D₄×D₄₃	1	4	yes	—
1480	C₂×C₄	C₂×D₄×D₄₃	1	16	yes	complemented
1481	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1482	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1483	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1484	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1485	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1486	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1487	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1488	C₂²	—	2	8	no	—
1489	C₂²	—	2	8	no	—
1490	C₂²	—	2	2	no	—
1491	C₂²	—	2	2	no	—
1492	C₂²	—	2	2	no	—
1493	C₂²	—	2	2	no	—
1494	C₂²	—	2	2	no	—
1495	C₂²	—	2	4	no	—
1496	C₂²	—	2	4	no	—
1497	C₂²	—	2	2	no	—
1498	C₂²	—	2	2	no	—
1499	C₂²	—	2	4	no	—
1500	C₂²	—	4	16	no	—
1501	C₂²	—	4	4	no	—
1502	C₂²	—	4	8	no	—
1503	C₂²	—	43	8	no	—
1504	C₂²	—	43	4	no	—
1505	C₂²	—	86	8	no	—
1506	C₂²	—	86	16	no	—
1507	C₂²	—	86	2	no	—
1508	C₂²	—	86	4	no	—
1509	C₂²	—	86	4	no	—
1510	C₂²	—	86	2	no	—
1511	C₂²	—	86	4	no	—
1512	C₂²	—	86	2	no	—
1513	C₂²	—	86	4	no	—
1514	C₂²	—	86	2	no	—
1515	C₂²	—	86	2	no	—
1516	C₂²	—	86	4	no	—
1517	C₂²	—	172	32	no	—
1518	C₂²	—	172	16	no	—
1519	C₂²	—	172	32	no	—
1520	C₂²	—	172	8	no	—
1521	C₂²	—	172	4	no	—
1522	C₂²	C₂²×D₄×D₄₃	1	4	yes	—
1523	C₂²	C₂²×D₄×D₄₃	1	2	yes	—
1524	C₂²	C₂×#41×D₄₃	1	2	yes	—
1525	C₂²	C₂×#41×D₄₃	1	4	yes	complemented
1526	C₂²	#14583735	1	2	yes	—
1527	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1528	C₄	—	2	2	no	—
1529	C₄	—	2	2	no	—
1530	C₄	—	2	4	no	—
1531	C₄	—	2	4	no	—
1532	C₄	—	2	4	no	—
1533	C₄	—	43	8	no	—
1534	C₄	—	43	4	no	—
1535	C₄	—	86	2	no	—
1536	C₄	—	86	4	no	—
1537	C₄	—	86	2	no	—
1538	C₄	—	86	2	no	—
1539	C₄	—	86	2	no	—
1540	C₄	—	86	2	no	—
1541	C₄	C₂²×D₄×D₄₃	1	4	yes	—
1542	C₄	C₂²×D₄×D₄₃	1	4	yes	—
1543	C₂	—	2	4	no	—
1544	C₂	—	2	4	no	—
1545	C₂	—	4	2	no	—
1546	C₂	—	4	4	no	—
1547	C₂	—	86	4	no	—
1548	C₂	—	86	8	no	—
1549	C₂	—	172	4	no	—
1550	C₂	—	172	2	no	—
1551	C₂	#19148078	1	4	yes	direct product factor
1552	C₂	C₂³×D₄×D₄₃	1	1	yes	characteristic
1553	C₂	C₂²×#41×D₄₃	1	1	yes	characteristic
1554	C₂	C₂×#14583735	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₄₃
commutator, cosocle	C₂²×C₄₃	C₂⁶
Frattini	C₂²	C₂⁵×D₄₃
Fitting	C₂×C₄₃×#525	C₂
socle	C₂³×C₄₃	C₂⁵
hypercenter	C₂×#525	D₄₃
hypocenter	C₄₃	C₂×D₄×#41
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₂×#525

Complements

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

N	H ≅ G/N	type
1. C₂³×#10621898	C₂	semidirect
2. C₂²×#41×D₄₃	C₂	semidirect
3. #19148078	C₂	direct (N × H)
4. C₂×#14583567	C₂	semidirect
5. C₂×#14583562	C₂	semidirect
6. C₂×#14583559	C₂	semidirect
7. C₂×#14583555	C₂	semidirect
8. C₂×#14583551	C₂	semidirect
9. C₂×#14583547	C₂	semidirect
10. C₂×#14583546	C₂	semidirect
11. C₂×#14583541	C₂	semidirect
12. C₂×#14583540	C₂	semidirect
13. C₂×#14583536	C₂	semidirect
14. C₂×#14583533	C₂	semidirect
15. C₂×#14583531	C₂	semidirect
16. C₂×#14583446	C₂	semidirect
17. C₂×#14583445	C₂	semidirect
18. C₂×#14583411	C₂	semidirect
19. C₂×#14583408	C₂	semidirect
20. C₂×#14583408	C₂	semidirect
21. C₂×#14583367	C₂	semidirect
22. C₂²×C₄×C₂²⋊D₄₃	C₂	semidirect
23. C₂×C₄×D₄×D₄₃	C₂	semidirect
24. C₂×C₄₃×#525	C₂	semidirect
25. C₂²×#10621902	C₂²	semidirect
28. C₂²×#10621898	C₂²	semidirect
29. C₂²×#10621898	C₂²	semidirect
30. C₂²×#10621898	C₂²	semidirect
31. C₂²×#10621898	C₂²	semidirect
32. C₂²×#10621898	C₂²	semidirect
33. C₂²×#10621898	C₂²	semidirect
34. C₂²×#10621898	C₂²	semidirect
35. C₂²×#10621900	C₂²	semidirect
36. C₂²×#10621900	C₂²	semidirect
38. C₂×#41×D₄₃	C₂²	semidirect
39. C₂³×Dic₈₆	C₂²	semidirect
40. C₂²×Q₈×D₄₃	C₂²	semidirect
41. C₂³×D₁₇₂	C₂²	semidirect
43. C₂³×C₂²⋊D₄₃	C₂²	semidirect
45. C₂²×D₄×D₄₃	C₂²	semidirect
46. C₂²×D₄×D₄₃	C₂²	semidirect
47. C₂³×C₄×D₄₃	C₂²	semidirect
48. C₂³×C₄×D₄₃	C₂²	semidirect
49. C₂³×C₄×D₄₃	C₂²	semidirect
50. #14583567	C₂²	semidirect
51. #14583562	C₂²	semidirect
52. #14583559	C₂²	semidirect
53. #14583555	C₂²	semidirect
54. #14583551	C₂²	semidirect
55. #14583547	C₂²	semidirect
56. #14583546	C₂²	semidirect
57. #14583541	C₂²	semidirect
58. #14583540	C₂²	semidirect
59. #14583536	C₂²	semidirect
60. #14583533	C₂²	semidirect
61. #14583531	C₂²	semidirect
62. #14583446	C₂²	semidirect
63. #14583445	C₂²	semidirect
64. C₂×#13063324	C₂²	semidirect
65. C₂×#13063323	C₂²	semidirect
66. C₂×#13063321	C₂²	semidirect
67. C₂×#13063321	C₂²	semidirect
68. C₂×#13063314	C₂²	semidirect
69. C₂×#13063312	C₂²	semidirect
70. C₂×#13063311	C₂²	semidirect
71. C₂×#13063311	C₂²	semidirect
72. #14583411	C₂²	semidirect
73. #14583408	C₂²	semidirect
74. #14583408	C₂²	semidirect
75. C₂×#13063310	C₂²	semidirect
76. C₂×#13063310	C₂²	semidirect
77. C₂×#13063309	C₂²	semidirect
78. C₂×#13063307	C₂²	semidirect
79. C₂×#13063307	C₂²	semidirect
80. C₂×#13063305	C₂²	semidirect
81. C₂×#13063305	C₂²	semidirect
82. C₂×#13063303	C₂²	semidirect
83. C₂×#13063303	C₂²	semidirect
84. C₂×#13063302	C₂²	semidirect
85. C₂×#13063302	C₂²	semidirect
86. C₂×#13063300	C₂²	semidirect
87. C₂×#13063300	C₂²	semidirect
88. C₂×#13063300	C₂²	semidirect
89. C₂×#13063298	C₂²	semidirect
90. C₂×#13063298	C₂²	semidirect
91. C₂×#13063298	C₂²	semidirect
92. C₂×#13063298	C₂²	semidirect
93. C₂×#13063297	C₂²	semidirect
94. C₂×#13063297	C₂²	semidirect
95. C₂×#13063297	C₂²	semidirect
96. C₂×#13063297	C₂²	semidirect
97. C₂×#13063296	C₂²	semidirect
98. C₂×#13063295	C₂²	semidirect
99. C₂×#13063295	C₂²	semidirect
100. C₂×#13063295	C₂²	semidirect
101. C₂×#13063293	C₂²	semidirect
102. C₂×#13063293	C₂²	semidirect
103. #14583367	C₂²	semidirect
104. C₂×#13063290	C₂²	semidirect
105. C₂×#13063290	C₂²	semidirect
106. C₂×C₄×D₁₇₂	C₂²	semidirect
107. C₂×C₄×D₁₇₂	C₂²	semidirect
108. C₂×D₄×Dic₄₃	C₂²	semidirect
109. C₂×#13063287	C₂²	semidirect
110. C₂×#13063287	C₂²	semidirect
111. C₂×#13063287	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×C₄×C₂²⋊D₄₃	C₂²	semidirect
120. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
121. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
122. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
124. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
125. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
126. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
127. C₄×D₄×D₄₃	C₂²	semidirect
128. C₂×#13063282	C₂²	semidirect
129. C₂²×Dic₄₃⋊C₄	C₂²	semidirect
130. C₂×C₄⋊C₄×D₄₃	C₂²	semidirect
131. C₂²×C₂²⋊Dic₄₃	C₂²	semidirect
132. C₂²×(C₂×D₄₃)⋊C₄	C₂²	semidirect
133. C₂×C₂²⋊C₄×D₄₃	C₂²	semidirect
134. C₂×C₂²⋊C₄×D₄₃	C₂²	semidirect
135. C₂²×C₄×Dic₄₃	C₂²	semidirect
136. C₂×C₄²×D₄₃	C₂²	semidirect
137. C₂²×#41×C₄₃	C₂²	semidirect
138. C₂⁴×C₄×C₄₃	C₂²	semidirect
139. C₄₃×#525	C₂²	semidirect
140. C₂×#123×C₄₃	C₂²	semidirect
141. C₂×C₂²⋊Q₈×C₄₃	C₂²	semidirect
142. C₂×C₂²⋊Q₈×C₄₃	C₂²	semidirect
143. C₂×#121×C₄₃	C₂²	semidirect
144. C₂×#121×C₄₃	C₂²	semidirect
145. C₂×#120×C₄₃	C₂²	semidirect
146. C₂×C₄×D₄×C₄₃	C₂²	semidirect
147. C₂×C₄×D₄×C₄₃	C₂²	semidirect
148. C₂×#117×C₄₃	C₂²	semidirect
153. C₂×#10621902	C₂³	semidirect
161. C₂×#10621898	D₄	semidirect
163. C₂×#10621898	C₂³	semidirect
164. C₂×#10621898	C₂³	semidirect
165. C₂×#10621898	C₂³	semidirect
166. C₂×#10621898	C₂³	semidirect
167. C₂×#10621898	C₂³	semidirect
168. C₂×#10621898	C₂³	semidirect
171. C₂×#10621900	C₂³	semidirect
172. C₂×#10621900	C₂³	semidirect
179. C₂²×Dic₈₆	C₂³	semidirect
181. C₂×Q₈×D₄₃	C₂³	semidirect
189. C₂²×D₁₇₂	C₂³	semidirect
205. C₂²×C₂²⋊D₄₃	C₂³	semidirect
210. C₂×D₄×D₄₃	C₂³	semidirect
211. C₂×D₄×D₄₃	C₂³	semidirect
232. C₂²×C₄×D₄₃	C₂³	semidirect
233. C₂²×C₄×D₄₃	C₂³	semidirect
234. C₂²×C₄×D₄₃	C₂³	semidirect
235. #13063324	C₂³	semidirect
236. #13063323	C₂³	semidirect
237. #13063321	C₂³	semidirect
238. #13063321	C₂³	semidirect
239. #13063314	C₂³	semidirect
240. #13063312	C₂³	semidirect
241. #13063311	C₂³	semidirect
242. #13063311	C₂³	semidirect
243. #13063310	C₂³	semidirect
244. #13063310	C₂³	semidirect
245. #13063309	C₂³	semidirect
246. #13063307	C₂³	semidirect
247. #13063307	C₂³	semidirect
248. #13063305	C₂³	semidirect
249. #13063305	C₂³	semidirect
250. #13063303	C₂³	semidirect
251. #13063303	C₂³	semidirect
252. #13063302	C₂³	semidirect
253. #13063302	C₂³	semidirect
254. #13063300	C₂³	semidirect
255. #13063300	C₂³	semidirect
256. #13063300	C₂³	semidirect
257. #13063298	C₂³	semidirect
258. #13063298	C₂³	semidirect
259. #13063298	C₂³	semidirect
260. #13063298	C₂³	semidirect
261. #13063297	C₂³	semidirect
262. #13063297	C₂³	semidirect
263. #13063297	C₂³	semidirect
264. #13063297	C₂³	semidirect
265. #13063296	C₂³	semidirect
266. #13063295	C₂³	semidirect
267. #13063295	C₂³	semidirect
268. #13063295	C₂³	semidirect
269. #13063293	C₂³	semidirect
270. #13063293	C₂³	semidirect
271. #13063290	C₂³	semidirect
272. #13063290	C₂³	semidirect
273. C₄×D₁₇₂	C₂³	semidirect
274. C₄×D₁₇₂	C₂³	semidirect
275. D₄×Dic₄₃	C₂³	semidirect
276. #13063287	C₂³	semidirect
277. #13063287	C₂³	semidirect
278. #13063287	C₂³	semidirect
281. C₄×C₂²⋊D₄₃	C₂³	semidirect
282. C₄×C₂²⋊D₄₃	C₂³	semidirect
283. C₄×C₂²⋊D₄₃	C₂³	semidirect
284. C₄×C₂²⋊D₄₃	C₂³	semidirect
285. C₄×C₂²⋊D₄₃	C₂³	semidirect
286. C₄×C₂²⋊D₄₃	C₂³	semidirect
287. C₄×C₂²⋊D₄₃	C₂³	semidirect
288. C₄×C₂²⋊D₄₃	C₂³	semidirect
290. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
291. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
292. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
293. #13063282	C₂³	semidirect
304. C₂×Dic₄₃⋊C₄	C₂³	semidirect
305. C₄⋊C₄×D₄₃	C₂³	semidirect
312. C₂×C₂²⋊Dic₄₃	C₂³	semidirect
325. C₂×(C₂×D₄₃)⋊C₄	C₂³	semidirect
326. C₂²⋊C₄×D₄₃	C₂³	semidirect
327. C₂²⋊C₄×D₄₃	C₂³	semidirect
334. C₂×C₄×Dic₄₃	C₂³	semidirect
335. C₄²×D₄₃	C₂³	semidirect
338. C₂×#41×C₄₃	C₂³	semidirect
352. C₂³×C₄×C₄₃	C₂³	semidirect
353. #123×C₄₃	C₂³	semidirect
354. C₂²⋊Q₈×C₄₃	C₂³	semidirect
355. C₂²⋊Q₈×C₄₃	C₂³	semidirect
356. #121×C₄₃	C₂³	semidirect
357. #121×C₄₃	C₂³	semidirect
358. #120×C₄₃	C₂³	semidirect
359. C₄×D₄×C₄₃	C₂³	semidirect
360. C₄×D₄×C₄₃	C₂³	semidirect
361. #117×C₄₃	C₂³	semidirect
414. C₂²×C₄×C₄₃	C₂×D₄	semidirect
441. C₂×C₂²⋊D₄₃	C₂×D₄	semidirect
442. C₂×C₂²⋊D₄₃	#41	semidirect
486. #10621898	C₂×D₄	semidirect
493. C₂×D₁₇₂	C₂×D₄	semidirect
514. C₂×C₄×D₄₃	C₂×D₄	semidirect
531. C₂×Dic₈₆	C₂×D₄	semidirect
595. C₂³×C₄₃	C₂×#41	semidirect
624. C₂²×D₄₃	C₂×#41	semidirect
647. C₂×C₄×C₄₃	C₂²×D₄	semidirect
665. C₂²⋊D₄₃	C₂²×D₄	semidirect
666. C₂²⋊D₄₃	C₂×#41	semidirect
679. C₂×Dic₄₃	C₂×#41	semidirect
693. D₁₇₂	C₂²×D₄	semidirect
705. C₄×D₄₃	C₂²×D₄	semidirect
709. Dic₈₆	C₂²×D₄	semidirect
729. C₂²×C₄₃	C₂²×#41	semidirect
750. C₂×D₄₃	C₂²×#41	semidirect
765. Dic₄₃	C₂²×#41	semidirect
786. C₂×#525	D₄₃	semidirect
794. C₂×C₄₃	D₄×#41	semidirect
816. C₂²×#41	C₂×D₄₃	semidirect
828. C₂⁴×C₄	C₂×D₄₃	semidirect
854. #525	C₂×D₄₃	semidirect
860. C₂×#123	C₂×D₄₃	semidirect
867. C₂×C₂²⋊Q₈	C₂×D₄₃	semidirect
868. C₂×C₂²⋊Q₈	C₂×D₄₃	semidirect
881. C₂×#121	C₂×D₄₃	semidirect
882. C₂×#121	C₂×D₄₃	semidirect
888. C₂×#120	C₂×D₄₃	semidirect
914. C₂×C₄×D₄	C₂×D₄₃	semidirect
915. C₂×C₄×D₄	C₂×D₄₃	semidirect
917. C₂×#117	C₂×D₄₃	semidirect
926. C₄₃	C₂×D₄×#41	semidirect
954. C₂×#41	C₂²×D₄₃	semidirect
1029. C₂³×C₄	C₂²×D₄₃	semidirect
1043. #123	C₂²×D₄₃	semidirect
1050. C₂²⋊Q₈	C₂²×D₄₃	semidirect
1051. C₂²⋊Q₈	C₂²×D₄₃	semidirect
1064. #121	C₂²×D₄₃	semidirect
1065. #121	C₂²×D₄₃	semidirect
1071. #120	C₂²×D₄₃	semidirect
1094. C₄×D₄	C₂²×D₄₃	semidirect
1095. C₄×D₄	C₂²×D₄₃	semidirect
1097. #117	C₂²×D₄₃	semidirect
1299. C₂²×C₄	D₄×D₄₃	semidirect
1401. C₂³	#41×D₄₃	semidirect
1480. C₂×C₄	C₂×D₄×D₄₃	semidirect
1525. C₂²	C₂×#41×D₄₃	semidirect
1551. C₂	#19148078	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂³×#10621898	2
C₂²×#41×D₄₃	2
#19148078	2
C₂×#14583567	2
C₂×#14583562	2
C₂×#14583559	2
C₂×#14583555	2
C₂×#14583551	2
C₂×#14583547	2
C₂×#14583546	2
C₂×#14583541	2
C₂×#14583540	2
C₂×#14583536	2
C₂×#14583533	2
C₂×#14583531	2
C₂×#14583446	2
C₂×#14583445	2
C₂×#14583411	2
C₂×#14583408	2
C₂×#14583367	2
C₂²×C₄×C₂²⋊D₄₃	2
C₂×C₄×D₄×D₄₃	2
C₂×C₄₃×#525	2
C₂×D₄×#41	43

Subgroups — C2×#19148078 #26003552

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#19148078 #26003552