Subgroups — C₂×#19149117 #26003928

Order 11008.

8122 conjugacy classes of subgroups.

The subgroup lattice has 1252 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19149117	C₂	1	32	yes	maximal, direct product factor
2	C₂×#14583647	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#14583641	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#14583641	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#14583633	C₂	1	2	yes	maximal, complemented
6	C₂×#14583559	C₂	1	2	yes	maximal, complemented
7	C₂×#14583541	C₂	1	2	yes	maximal, complemented
8	C₂×#14583540	C₂	1	2	yes	maximal, complemented
9	C₂×#14583538	C₂	1	2	yes	maximal, complemented
10	C₂×#14583533	C₂	1	2	yes	maximal, complemented
11	C₂×#14583519	C₂	1	2	yes	maximal, complemented
12	C₂×#14583489	C₂	1	2	yes	maximal, complemented
13	C₂×#14583485	C₂	1	2	yes	maximal, complemented
14	C₂×#14583481	C₂	1	2	yes	maximal, complemented
15	C₂×#14583465	C₂	1	2	yes	maximal, complemented
16	C₂×#14583460	C₂	1	2	yes	maximal, complemented
17	C₂×#14583448	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#14583434	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#124×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×C₄₃×#562	C₂	1	1	yes	maximal, characteristic, complemented
21	C₂²×#10621902	C₂²	1	1	yes	characteristic, complemented
22	C₂²×#10621898	C₂²	1	2	yes	complemented
23	C₂²×#10621900	C₂²	1	1	yes	characteristic, complemented
24	C₂²×Q₈×D₄₃	C₂²	1	1	yes	characteristic, complemented
25	C₂³×D₁₇₂	C₂²	1	2	yes	complemented
26	C₂²×D₄×D₄₃	C₂²	1	1	yes	characteristic
27	C₂²×D₄×D₄₃	C₂²	1	2	yes	complemented
28	C₂²×D₄×D₄₃	C₂²	1	2	yes	complemented
29	#14583647	C₂²	1	16	yes	complemented
30	#14583641	C₂²	1	16	yes	complemented
31	#14583641	C₂²	1	16	yes	complemented
32	#14583633	C₂²	1	32	yes	complemented
33	#14583559	C₂²	1	32	yes	complemented
34	#14583541	C₂²	1	32	yes	complemented
35	#14583540	C₂²	1	32	yes	complemented
36	#14583538	C₂²	1	32	yes	complemented
37	#14583533	C₂²	1	32	yes	complemented
38	#14583519	C₂²	1	32	yes	complemented
39	#14583489	C₂²	1	32	yes	complemented
40	#14583485	C₂²	1	32	yes	complemented
41	#14583481	C₂²	1	32	yes	complemented
42	#14583465	C₂²	1	32	yes	complemented
43	#14583460	C₂²	1	32	yes	complemented
44	#14583448	C₂²	1	16	yes	complemented
45	C₂×#13063323	C₂²	1	1	yes	characteristic, complemented
46	C₂×#13063321	C₂²	1	2	yes	—
47	C₂×#13063321	C₂²	1	1	yes	characteristic, complemented
48	#14583434	C₂²	1	16	yes	complemented
49	C₂×#13063320	C₂²	1	2	yes	complemented
50	C₂×#13063320	C₂²	1	2	yes	complemented
51	C₂×#13063318	C₂²	1	2	yes	complemented
52	C₂×#13063314	C₂²	1	2	yes	complemented
53	C₂×#13063314	C₂²	1	2	yes	complemented
54	C₂×#13063314	C₂²	1	1	yes	characteristic, complemented
55	C₂×#13063313	C₂²	1	1	yes	characteristic, complemented
56	C₂×#13063313	C₂²	1	1	yes	characteristic, complemented
57	C₂×#13063313	C₂²	1	1	yes	characteristic, complemented
58	C₂×#13063312	C₂²	1	1	yes	characteristic, complemented
59	C₂×#13063311	C₂²	1	2	yes	complemented
60	C₂×#13063311	C₂²	1	2	yes	complemented
61	C₂×#13063311	C₂²	1	2	yes	complemented
62	C₂×#13063311	C₂²	1	2	yes	complemented
63	C₂×#13063311	C₂²	1	2	yes	complemented
64	C₂×#13063311	C₂²	1	2	yes	complemented
65	C₂×#13063311	C₂²	1	2	yes	complemented
66	#124×D₄₃	C₂²	1	16	yes	complemented
67	C₂×#13063310	C₂²	1	2	yes	complemented
68	C₂×#13063310	C₂²	1	2	yes	complemented
69	C₂×#13063310	C₂²	1	2	yes	complemented
70	C₂×#13063310	C₂²	1	2	yes	complemented
71	C₂×#13063310	C₂²	1	2	yes	complemented
72	C₂×#13063308	C₂²	1	2	yes	complemented
73	C₂×#13063306	C₂²	1	2	yes	complemented
74	C₂×#13063305	C₂²	1	1	yes	characteristic, complemented
75	C₂×#13063303	C₂²	1	2	yes	complemented
76	C₂×#13063303	C₂²	1	2	yes	complemented
77	C₂×#13063303	C₂²	1	2	yes	complemented
78	C₂×#13063300	C₂²	1	1	yes	characteristic
79	C₂×#13063300	C₂²	1	2	yes	complemented
80	C₂×#13063300	C₂²	1	2	yes	complemented
81	C₂×#13063300	C₂²	1	2	yes	complemented
82	C₂×#13063300	C₂²	1	2	yes	complemented
83	C₂×#13063299	C₂²	1	2	yes	complemented
84	C₂×#13063298	C₂²	1	2	yes	—
85	C₂×#13063298	C₂²	1	2	yes	complemented
86	C₂×#13063298	C₂²	1	2	yes	complemented
87	C₂×#13063298	C₂²	1	2	yes	complemented
88	C₂×#13063297	C₂²	1	2	yes	complemented
89	C₂×#13063296	C₂²	1	2	yes	complemented
90	C₂×#13063295	C₂²	1	2	yes	complemented
91	C₂×#13063295	C₂²	1	2	yes	complemented
92	C₂×#13063295	C₂²	1	2	yes	complemented
93	C₂×#13063295	C₂²	1	2	yes	complemented
94	C₂×#13063295	C₂²	1	2	yes	complemented
95	C₂×#13063295	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	C₂×#13063293	C₂²	1	2	yes	complemented
100	C₂×#13063290	C₂²	1	2	yes	complemented
101	C₂×#13063290	C₂²	1	1	yes	characteristic, complemented
102	C₂×#13063287	C₂²	1	2	yes	complemented
103	C₂×#13063287	C₂²	1	2	yes	complemented
104	C₂×#13063287	C₂²	1	1	yes	characteristic, complemented
105	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
106	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
107	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
108	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
109	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
110	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
111	C₂×#13063283	C₂²	1	2	yes	complemented
112	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	2	yes	complemented
113	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	complemented
114	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	complemented
115	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	complemented
116	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic, complemented
117	C₄₃×#562	C₂²	1	16	yes	complemented
118	C₂×#125×C₄₃	C₂²	1	1	yes	characteristic, complemented
119	C₂×#124×C₄₃	C₂²	1	1	yes	characteristic, complemented
120	C₂×#124×C₄₃	C₂²	1	1	yes	characteristic, complemented
121	C₂×#123×C₄₃	C₂²	1	2	yes	complemented
122	C₂×#123×C₄₃	C₂²	1	2	yes	complemented
123	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	2	yes	complemented
124	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	2	yes	complemented
125	C₂×#121×C₄₃	C₂²	1	2	yes	complemented
126	C₂×#121×C₄₃	C₂²	1	2	yes	complemented
127	C₂⁴×D₄₃	C₂³	1	2	yes	—
128	C₂⁴×D₄₃	C₂³	1	2	yes	—
129	C₂⁴×D₄₃	C₂³	1	2	yes	—
130	C₂×#10621902	—	4	4	no	—
131	C₂×#10621902	C₂³	1	8	yes	complemented
132	C₂×#10621898	—	4	8	no	—
133	C₂×#10621898	C₂³	1	16	yes	complemented
134	C₂×#10621900	—	4	4	no	—
135	C₂×#10621900	C₂³	1	8	yes	complemented
136	C₂²×Dic₈₆	C₂³	1	2	yes	—
137	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
138	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
139	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
140	C₂×Q₈×D₄₃	—	4	4	no	—
141	C₂×Q₈×D₄₃	C₂³	1	8	yes	complemented
142	C₂²×D₁₇₂	—	4	8	no	—
143	C₂²×D₁₇₂	C₂³	1	2	yes	—
144	C₂²×D₁₇₂	C₂³	1	2	yes	—
145	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
146	C₂²×D₁₇₂	C₂³	1	2	yes	—
147	C₂²×D₁₇₂	C₂³	1	2	yes	—
148	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
149	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
150	C₂²×D₁₇₂	C₂³	1	2	yes	—
151	C₂²×D₁₇₂	C₂³	1	2	yes	—
152	C₂²×D₁₇₂	C₂³	1	16	yes	complemented
153	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
154	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
155	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
156	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
157	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
158	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
159	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
160	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
161	C₂×D₄×D₄₃	—	4	4	no	—
162	C₂×D₄×D₄₃	—	4	8	no	—
163	C₂×D₄×D₄₃	—	4	8	no	—
164	C₂×D₄×D₄₃	C₂³	1	8	yes	—
165	C₂×D₄×D₄₃	C₂³	1	16	yes	complemented
166	C₂×D₄×D₄₃	C₂³	1	16	yes	complemented
167	C₂³×Dic₄₃	C₂³	1	2	yes	—
168	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
169	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
170	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
171	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
172	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
173	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
174	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
175	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
176	#13063323	C₂³	1	8	yes	complemented
177	#13063321	C₂³	1	16	yes	—
178	#13063321	C₂³	1	8	yes	complemented
179	#13063320	C₂³	1	16	yes	complemented
180	#13063320	C₂³	1	16	yes	complemented
181	#13063318	C₂³	1	16	yes	complemented
182	#13063314	C₂³	1	16	yes	complemented
183	#13063314	C₂³	1	16	yes	complemented
184	#13063314	C₂³	1	8	yes	complemented
185	#13063313	C₂³	1	8	yes	complemented
186	#13063313	C₂³	1	8	yes	complemented
187	#13063313	C₂³	1	8	yes	complemented
188	#13063312	C₂³	1	8	yes	complemented
189	#13063311	C₂³	1	16	yes	complemented
190	#13063311	C₂³	1	16	yes	complemented
191	#13063311	C₂³	1	16	yes	complemented
192	#13063311	C₂³	1	16	yes	complemented
193	#13063311	C₂³	1	16	yes	complemented
194	#13063311	C₂³	1	16	yes	complemented
195	#13063311	C₂³	1	16	yes	complemented
196	#13063310	C₂³	1	16	yes	complemented
197	#13063310	C₂³	1	16	yes	complemented
198	#13063310	C₂³	1	16	yes	complemented
199	#13063310	C₂³	1	16	yes	complemented
200	#13063310	C₂³	1	16	yes	complemented
201	#13063308	C₂³	1	16	yes	complemented
202	#13063306	C₂³	1	16	yes	complemented
203	#13063305	C₂³	1	8	yes	complemented
204	#13063303	C₂³	1	16	yes	complemented
205	#13063303	C₂³	1	16	yes	complemented
206	#13063303	C₂³	1	16	yes	complemented
207	#13063300	C₂³	1	8	yes	—
208	#13063300	C₂³	1	16	yes	complemented
209	#13063300	C₂³	1	16	yes	complemented
210	#13063300	C₂³	1	16	yes	complemented
211	#13063300	C₂³	1	16	yes	complemented
212	#13063299	C₂³	1	16	yes	complemented
213	#13063298	C₂³	1	16	yes	—
214	#13063298	C₂³	1	16	yes	complemented
215	#13063298	C₂³	1	16	yes	complemented
216	#13063298	C₂³	1	16	yes	complemented
217	#13063297	C₂³	1	16	yes	complemented
218	#13063296	C₂³	1	16	yes	complemented
219	#13063295	C₂³	1	16	yes	complemented
220	#13063295	C₂³	1	16	yes	complemented
221	#13063295	C₂³	1	16	yes	complemented
222	#13063295	C₂³	1	16	yes	complemented
223	#13063295	C₂³	1	16	yes	complemented
224	#13063295	C₂³	1	16	yes	complemented
225	#13063293	C₂³	1	16	yes	complemented
226	#13063293	C₂³	1	16	yes	complemented
227	#13063293	C₂³	1	16	yes	complemented
228	#13063293	C₂³	1	16	yes	complemented
229	#13063290	C₂³	1	16	yes	complemented
230	#13063290	C₂³	1	8	yes	complemented
231	#13063287	C₂³	1	16	yes	complemented
232	#13063287	C₂³	1	16	yes	complemented
233	#13063287	C₂³	1	8	yes	complemented
234	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
235	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
236	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
237	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
238	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
239	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
240	#13063283	C₂³	1	16	yes	complemented
241	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
242	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
243	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
244	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
245	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
246	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
247	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
248	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
249	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
250	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
251	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
252	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
253	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
254	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
255	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
256	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
257	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
258	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
259	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
260	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
261	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
262	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
263	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
264	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
265	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
266	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
267	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
268	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	16	yes	complemented
269	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	complemented
270	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	complemented
271	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	complemented
272	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
273	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
274	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
275	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
276	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
277	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
278	C₄²×D₄₃	C₂³	1	8	yes	complemented
279	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
280	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
281	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
282	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
283	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
284	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
285	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
286	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
287	#125×C₄₃	C₂³	1	8	yes	complemented
288	#124×C₄₃	C₂³	1	8	yes	complemented
289	#124×C₄₃	C₂³	1	8	yes	complemented
290	#123×C₄₃	C₂³	1	16	yes	complemented
291	#123×C₄₃	C₂³	1	16	yes	complemented
292	C₂²⋊Q₈×C₄₃	C₂³	1	16	yes	complemented
293	C₂²⋊Q₈×C₄₃	C₂³	1	16	yes	complemented
294	#121×C₄₃	C₂³	1	16	yes	complemented
295	#121×C₄₃	C₂³	1	16	yes	complemented
296	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
297	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
298	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
299	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
300	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
301	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
302	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
303	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
304	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
305	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
306	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
307	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
308	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
309	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
310	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
311	C₂³×D₄₃	—	2	8	no	—
312	C₂³×D₄₃	—	4	4	no	—
313	C₂³×D₄₃	—	4	4	no	—
314	C₂³×D₄₃	—	4	4	no	—
315	C₂³×D₄₃	—	4	4	no	—
316	C₂³×D₄₃	—	4	4	no	—
317	C₂³×D₄₃	—	4	4	no	—
318	C₂³×D₄₃	—	4	4	no	—
319	C₂³×D₄₃	—	4	4	no	—
320	C₂³×D₄₃	C₂⁴	1	2	yes	—
321	C₂³×D₄₃	C₂⁴	1	2	yes	—
322	C₂³×D₄₃	C₂⁴	1	2	yes	—
323	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
324	C₂³×D₄₃	C₂⁴	1	8	yes	—
325	C₂³×D₄₃	C₂⁴	1	8	yes	—
326	C₂³×D₄₃	C₂⁴	1	8	yes	—
327	C₂×Q₈×C₄₃	—	4	2	no	—
328	C₂×Q₈×C₄₃	—	4	2	no	—
329	C₂×Q₈×C₄₃	C₂⁴	1	4	yes	—
330	C₂×Q₈×C₄₃	C₂⁴	1	4	yes	—
331	C₂×D₄×C₄₃	—	4	4	no	—
332	C₂×D₄×C₄₃	—	4	4	no	—
333	C₂×D₄×C₄₃	—	4	2	no	—
334	C₂×D₄×C₄₃	—	4	2	no	—
335	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
336	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
337	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
338	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
339	C₂²×C₄×C₄₃	—	4	4	no	—
340	C₂²×C₄×C₄₃	—	4	4	no	—
341	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
342	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
343	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
344	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
345	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
346	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
347	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
348	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
349	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
350	C₂×C₂²⋊D₄₃	—	2	8	no	—
351	C₂×C₂²⋊D₄₃	—	2	8	no	—
352	C₂×C₂²⋊D₄₃	—	2	8	no	—
353	C₂×C₂²⋊D₄₃	—	4	4	no	—
354	C₂×C₂²⋊D₄₃	—	4	4	no	—
355	C₂×C₂²⋊D₄₃	—	4	4	no	—
356	C₂×C₂²⋊D₄₃	—	4	4	no	—
357	C₂×C₂²⋊D₄₃	—	4	4	no	—
358	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
359	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
360	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
361	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
362	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
363	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
364	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
365	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
366	C₂²×Dic₄₃	—	4	4	no	—
367	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
368	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
369	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
370	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
371	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
372	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
373	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
374	#10621902	—	4	16	no	—
375	Q₈×D₄₃	—	4	16	no	—
376	#10621900	—	4	16	no	—
377	D₄×D₄₃	—	4	32	no	—
378	D₄×D₄₃	—	4	16	no	—
379	D₄×D₄₃	—	4	32	no	—
380	#10621898	—	4	32	no	—
381	C₂×D₁₇₂	—	2	8	no	—
382	C₂×D₁₇₂	—	2	8	no	—
383	C₂×D₁₇₂	—	4	4	no	—
384	C₂×D₁₇₂	—	4	2	no	—
385	C₂×D₁₇₂	—	4	4	no	—
386	C₂×D₁₇₂	—	4	4	no	—
387	C₂×D₁₇₂	—	4	2	no	—
388	C₂×D₁₇₂	—	4	4	no	—
389	C₂×D₁₇₂	—	4	2	no	—
390	C₂×D₁₇₂	—	4	32	no	—
391	C₂×D₁₇₂	C₂⁴	1	8	yes	—
392	C₂×D₁₇₂	C₂⁴	1	8	yes	—
393	C₂×D₁₇₂	C₂⁴	1	4	yes	—
394	C₂×D₁₇₂	C₂⁴	1	8	yes	—
395	C₂×D₁₇₂	C₂⁴	1	8	yes	—
396	C₂×D₁₇₂	C₂⁴	1	4	yes	—
397	C₂×D₁₇₂	C₂⁴	1	4	yes	—
398	C₂×D₁₇₂	C₂⁴	1	8	yes	—
399	C₂×D₁₇₂	C₂⁴	1	8	yes	—
400	C₂×C₄×D₄₃	—	2	4	no	—
401	C₂×C₄×D₄₃	—	2	8	no	—
402	C₂×C₄×D₄₃	—	2	4	no	—
403	C₂×C₄×D₄₃	—	4	2	no	—
404	C₂×C₄×D₄₃	—	4	4	no	—
405	C₂×C₄×D₄₃	—	4	4	no	—
406	C₂×C₄×D₄₃	—	4	4	no	—
407	C₂×C₄×D₄₃	—	4	4	no	—
408	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
409	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
410	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
411	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
412	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
413	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
414	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
415	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
416	C₂×Dic₈₆	—	2	8	no	—
417	C₂×Dic₈₆	—	4	2	no	—
418	C₂×Dic₈₆	—	4	2	no	—
419	C₂×Dic₈₆	—	4	2	no	—
420	C₂×Dic₈₆	C₂⁴	1	8	yes	—
421	C₂×Dic₈₆	C₂⁴	1	4	yes	—
422	C₂×Dic₈₆	C₂⁴	1	4	yes	—
423	C₂×Dic₈₆	C₂⁴	1	4	yes	—
424	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
425	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
426	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
427	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
428	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
429	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
430	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
431	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
432	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
433	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
434	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
435	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
436	C₄²×C₄₃	C₂⁴	1	4	yes	—
437	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
438	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
439	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
440	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
441	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
442	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
443	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
444	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
445	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
446	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
447	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
448	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
449	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
450	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
451	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
452	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
453	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
454	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
455	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
456	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
457	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
458	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
459	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
460	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
461	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
462	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
463	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
464	C₄×Dic₄₃	C₂⁴	1	4	yes	—
465	C₄×Dic₄₃	C₂⁴	1	4	yes	—
466	C₄×Dic₄₃	C₂⁴	1	4	yes	—
467	C₄×Dic₄₃	C₂⁴	1	8	yes	—
468	C₄×Dic₄₃	C₂⁴	1	8	yes	—
469	C₄×Dic₄₃	C₂⁴	1	8	yes	—
470	C₂³×C₄₃	—	2	4	no	—
471	C₂³×C₄₃	—	2	4	no	—
472	C₂³×C₄₃	—	2	4	no	—
473	C₂³×C₄₃	—	2	4	no	—
474	C₂³×C₄₃	—	2	4	no	—
475	C₂³×C₄₃	—	2	4	no	—
476	C₂³×C₄₃	C₂⁵	1	4	yes	—
477	C₂³×C₄₃	C₂⁵	1	4	yes	—
478	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
479	C₂²×D₄₃	—	2	2	no	—
480	C₂²×D₄₃	—	2	2	no	—
481	C₂²×D₄₃	—	2	4	no	—
482	C₂²×D₄₃	—	2	4	no	—
483	C₂²×D₄₃	—	2	4	no	—
484	C₂²×D₄₃	—	2	4	no	—
485	C₂²×D₄₃	—	2	4	no	—
486	C₂²×D₄₃	—	2	4	no	—
487	C₂²×D₄₃	—	2	4	no	—
488	C₂²×D₄₃	—	2	4	no	—
489	C₂²×D₄₃	—	2	4	no	—
490	C₂²×D₄₃	—	2	16	no	—
491	C₂²×D₄₃	—	4	8	no	—
492	C₂²×D₄₃	—	4	8	no	—
493	C₂²×D₄₃	—	4	8	no	—
494	C₂²×D₄₃	—	4	8	no	—
495	C₂²×D₄₃	—	4	8	no	—
496	C₂²×D₄₃	—	4	8	no	—
497	C₂²×D₄₃	—	4	8	no	—
498	C₂²×D₄₃	—	4	8	no	—
499	C₂²×D₄₃	—	8	16	no	—
500	C₂²×D₄₃	—	8	16	no	—
501	C₂²×D₄₃	—	8	16	no	—
502	C₂²×D₄₃	H(5,𝔽₂)	1	4	yes	—
503	C₂²×D₄₃	C₂⁵	1	4	yes	—
504	C₂²×D₄₃	C₂⁵	1	4	yes	—
505	C₂²×D₄₃	C₂⁵	1	4	yes	—
506	C₂²×D₄₃	C₂⁵	1	2	yes	—
507	Q₈×C₄₃	—	4	4	no	—
508	Q₈×C₄₃	—	4	4	no	—
509	D₄×C₄₃	—	4	4	no	—
510	D₄×C₄₃	—	4	8	no	—
511	D₄×C₄₃	—	4	8	no	—
512	D₄×C₄₃	—	4	4	no	—
513	C₂×C₄×C₄₃	—	2	4	no	—
514	C₂×C₄×C₄₃	—	2	2	no	—
515	C₂×C₄×C₄₃	—	2	2	no	—
516	C₂×C₄×C₄₃	—	2	4	no	—
517	C₂×C₄×C₄₃	—	2	4	no	—
518	C₂×C₄×C₄₃	—	2	4	no	—
519	C₂×C₄×C₄₃	—	2	2	no	—
520	C₂×C₄×C₄₃	—	4	8	no	—
521	C₂×C₄×C₄₃	—	4	8	no	—
522	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
523	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
524	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
525	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
526	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
527	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
528	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
529	C₂²⋊D₄₃	—	2	16	no	—
530	C₂²⋊D₄₃	—	2	16	no	—
531	C₂²⋊D₄₃	—	2	16	no	—
532	C₂²⋊D₄₃	—	4	8	no	—
533	C₂²⋊D₄₃	—	4	8	no	—
534	C₂²⋊D₄₃	—	4	8	no	—
535	C₂²⋊D₄₃	—	4	8	no	—
536	C₂²⋊D₄₃	—	4	8	no	—
537	C₂×Dic₄₃	—	2	4	no	—
538	C₂×Dic₄₃	—	2	4	no	—
539	C₂×Dic₄₃	—	2	2	no	—
540	C₂×Dic₄₃	—	2	4	no	—
541	C₂×Dic₄₃	—	2	2	no	—
542	C₂×Dic₄₃	—	4	8	no	—
543	C₂×Dic₄₃	H(5,𝔽₂)	1	4	yes	—
544	C₂×Dic₄₃	C₂⁵	1	4	yes	—
545	C₂×Dic₄₃	C₂⁵	1	2	yes	—
546	C₂×Dic₄₃	C₂⁵	1	2	yes	—
547	C₂×Dic₄₃	C₂⁵	1	4	yes	—
548	C₂×Dic₄₃	C₂⁵	1	4	yes	—
549	C₂×Dic₄₃	C₂⁵	1	2	yes	—
550	D₁₇₂	—	2	16	no	—
551	D₁₇₂	—	2	16	no	—
552	D₁₇₂	—	4	8	no	—
553	D₁₇₂	—	4	8	no	—
554	D₁₇₂	—	4	4	no	—
555	D₁₇₂	—	4	8	no	—
556	D₁₇₂	—	4	4	no	—
557	D₁₇₂	—	4	8	no	—
558	D₁₇₂	—	4	4	no	—
559	C₄×D₄₃	—	2	8	no	—
560	C₄×D₄₃	—	2	16	no	—
561	C₄×D₄₃	—	2	8	no	—
562	C₄×D₄₃	—	4	4	no	—
563	C₄×D₄₃	—	4	8	no	—
564	C₄×D₄₃	—	4	8	no	—
565	C₄×D₄₃	—	4	8	no	—
566	C₄×D₄₃	—	4	8	no	—
567	Dic₈₆	—	2	16	no	—
568	Dic₈₆	—	4	4	no	—
569	Dic₈₆	—	4	4	no	—
570	Dic₈₆	—	4	4	no	—
571	C₂×#3558	—	43	1	no	maximal, Sylow
572	C₂²×C₄₃	—	2	4	no	—
573	C₂²×C₄₃	—	2	4	no	—
574	C₂²×C₄₃	—	2	4	no	—
575	C₂²×C₄₃	—	2	4	no	—
576	C₂²×C₄₃	—	2	4	no	—
577	C₂²×C₄₃	—	2	4	no	—
578	C₂²×C₄₃	—	4	8	no	—
579	C₂²×C₄₃	—	4	8	no	—
580	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
581	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
582	C₂²×C₄₃	#585	1	2	yes	—
583	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
584	C₂×D₄₃	—	2	2	no	—
585	C₂×D₄₃	—	2	2	no	—
586	C₂×D₄₃	—	2	8	no	—
587	C₂×D₄₃	—	2	4	no	—
588	C₂×D₄₃	—	2	4	no	—
589	C₂×D₄₃	—	2	4	no	—
590	C₂×D₄₃	—	2	4	no	—
591	C₂×D₄₃	—	2	4	no	—
592	C₂×D₄₃	—	2	4	no	—
593	C₂×D₄₃	—	2	4	no	—
594	C₂×D₄₃	—	2	4	no	—
595	C₂×D₄₃	—	2	4	no	—
596	C₂×D₄₃	—	4	8	no	—
597	C₂×D₄₃	—	4	8	no	—
598	C₂×D₄₃	—	4	8	no	—
599	C₂×D₄₃	—	8	16	no	—
600	C₂×D₄₃	—	8	16	no	—
601	C₂×D₄₃	—	8	16	no	—
602	C₂×D₄₃	C₂×H(5,𝔽₂)	1	4	yes	—
603	C₄×C₄₃	—	2	4	no	—
604	C₄×C₄₃	—	2	2	no	—
605	C₄×C₄₃	—	2	2	no	—
606	C₄×C₄₃	—	2	4	no	—
607	C₄×C₄₃	—	2	4	no	—
608	C₄×C₄₃	—	2	4	no	—
609	C₄×C₄₃	—	2	2	no	—
610	Dic₄₃	—	2	4	no	—
611	Dic₄₃	—	2	4	no	—
612	Dic₄₃	—	2	2	no	—
613	Dic₄₃	—	2	4	no	—
614	Dic₄₃	—	2	2	no	—
615	Dic₄₃	C₂×H(5,𝔽₂)	1	4	yes	—
616	#3558	—	43	32	no	—
617	C₂×#562	—	43	1	no	—
618	C₂×#562	D₄₃	1	1	yes	characteristic, complemented
619	C₂×H(3,𝔽₄)	—	43	1	no	—
620	C₂×H(3,𝔽₄)	—	43	1	no	—
621	C₂×#559	—	43	2	no	—
622	C₂×#548	—	43	2	no	—
623	C₂×#546	—	43	2	no	—
624	C₂×#546	—	43	2	no	—
625	C₂×#546	—	43	2	no	—
626	C₂×D₄²	—	43	2	no	—
627	C₂×#542	—	43	2	no	—
628	C₂×#538	—	43	2	no	—
629	C₂×#538	—	43	2	no	—
630	C₂×#538	—	43	2	no	—
631	C₂×#535	—	43	2	no	—
632	C₂×#534	—	43	2	no	—
633	C₂×#532	—	43	1	no	—
634	C₂×#529	—	43	1	no	—
635	C₂²×#124	—	43	1	no	—
636	C₂×C₄₃	—	4	4	no	—
637	C₂×C₄₃	—	4	4	no	—
638	C₂×C₄₃	#3558	1	4	yes	complemented
639	C₂×C₄₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
640	C₂×C₄₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
641	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
642	D₄₃	—	2	4	no	—
643	D₄₃	—	4	4	no	—
644	D₄₃	—	4	4	no	—
645	D₄₃	—	4	4	no	—
646	C₂²×#41	—	43	1	no	—
647	C₂²×#41	—	43	1	no	—
648	C₂²×#41	—	43	2	no	—
649	C₂³×Q₈	—	43	1	no	—
650	C₂³×D₄	—	43	1	no	—
651	C₂³×D₄	—	43	2	no	—
652	C₂³×D₄	—	43	2	no	—
653	C₂³×D₄	—	43	2	no	—
654	#562	—	43	16	no	—
655	#562	C₂×D₄₃	1	16	yes	complemented
656	H(3,𝔽₄)	—	43	16	no	—
657	H(3,𝔽₄)	—	43	16	no	—
658	#559	—	43	32	no	—
659	#548	—	43	32	no	—
660	#546	—	43	32	no	—
661	#546	—	43	32	no	—
662	#546	—	43	32	no	—
663	D₄²	—	43	32	no	—
664	#542	—	43	32	no	—
665	#538	—	43	32	no	—
666	#538	—	43	32	no	—
667	#538	—	43	32	no	—
668	#535	—	43	32	no	—
669	#534	—	43	32	no	—
670	#532	—	43	16	no	—
671	C₂×C₄⋊Q₈	—	43	1	no	—
672	C₂×#127	—	43	1	no	—
673	C₂×#127	—	43	2	no	—
674	#529	—	43	16	no	—
675	C₂×#126	—	43	2	no	—
676	C₂×#126	—	43	2	no	—
677	C₂×#126	—	43	2	no	—
678	C₂×#125	C₂×D₄₃	1	1	yes	characteristic, complemented
679	C₂×#124	—	43	1	no	—
680	C₂×#124	—	43	2	no	—
681	C₂×#124	—	43	2	no	—
682	C₂×#124	—	43	1	no	—
683	C₂×#124	—	43	16	no	—
684	C₂×#124	—	43	2	no	—
685	C₂×#124	—	43	2	no	—
686	C₂×#124	—	43	2	no	—
687	C₂×#124	—	43	2	no	—
688	C₂×#124	—	43	2	no	—
689	C₂×#124	—	43	2	no	—
690	C₂×#124	—	43	2	no	—
691	C₂×#124	—	43	1	no	—
692	C₂×#124	—	43	1	no	—
693	C₂×#124	—	43	1	no	—
694	C₂×#124	C₂×D₄₃	1	1	yes	characteristic, complemented
695	C₂×#124	C₂×D₄₃	1	1	yes	characteristic, complemented
696	C₂×#123	—	43	2	no	—
697	C₂×#123	—	43	2	no	—
698	C₂×#123	—	43	2	no	—
699	C₂×#123	—	43	2	no	—
700	C₂×#123	—	43	2	no	—
701	C₂×#123	—	43	2	no	—
702	C₂×#123	—	43	2	no	—
703	C₂×#123	C₂×D₄₃	1	2	yes	complemented
704	C₂×#123	C₂×D₄₃	1	2	yes	complemented
705	C₂×C₂²⋊Q₈	—	43	2	no	—
706	C₂×C₂²⋊Q₈	—	43	2	no	—
707	C₂×C₂²⋊Q₈	—	43	2	no	—
708	C₂×C₂²⋊Q₈	—	43	1	no	—
709	C₂×C₂²⋊Q₈	C₂×D₄₃	1	2	yes	complemented
710	C₂×C₂²⋊Q₈	C₂×D₄₃	1	2	yes	complemented
711	C₂×#121	—	43	2	no	—
712	C₂×#121	—	43	2	no	—
713	C₂×#121	—	43	2	no	—
714	C₂×#121	—	43	1	no	—
715	C₂×#121	—	43	2	no	—
716	C₂×#121	—	43	2	no	—
717	C₂×#121	—	43	2	no	—
718	C₂×#121	—	43	2	no	—
719	C₂×#121	—	43	2	no	—
720	C₂×#121	—	43	2	no	—
721	C₂×#121	—	43	2	no	—
722	C₂×#121	—	43	2	no	—
723	C₂×#121	C₂×D₄₃	1	2	yes	complemented
724	C₂×#121	C₂×D₄₃	1	2	yes	complemented
725	C₂×#120	—	43	2	no	—
726	C₂×#120	—	43	2	no	—
727	C₂×#120	—	43	2	no	—
728	C₂×#120	—	43	2	no	—
729	C₂×#120	—	43	2	no	—
730	C₂×#120	—	43	2	no	—
731	C₂×#120	—	43	2	no	—
732	C₂×#120	—	43	2	no	—
733	C₂×#120	—	43	2	no	—
734	C₂×#120	—	43	2	no	—
735	C₂×C₄×Q₈	—	43	1	no	—
736	C₂×C₄×Q₈	—	43	2	no	—
737	C₂×C₄×D₄	—	43	2	no	—
738	C₂×C₄×D₄	—	43	2	no	—
739	C₂×C₄×D₄	—	43	2	no	—
740	C₂×C₄×D₄	—	43	2	no	—
741	C₂×C₄×D₄	—	43	1	no	—
742	C₂×C₄×D₄	—	43	2	no	—
743	C₂×C₄×D₄	—	43	2	no	—
744	C₂×C₄×D₄	—	43	2	no	—
745	C₂×C₄×D₄	—	43	2	no	—
746	C₂×#117	—	43	2	no	—
747	C₂²×C₂²⋊C₄	—	43	2	no	—
748	C₂²×C₂²⋊C₄	—	43	2	no	—
749	C₂²×C₂²⋊C₄	—	43	2	no	—
750	C₂²×C₂²⋊C₄	—	43	2	no	—
751	C₂²×C₄²	—	43	1	no	—
752	C₄₃	C₂×#3558	1	1	yes	characteristic, complemented, Sylow
753	C₂⁵	—	43	2	no	—
754	C₂⁵	—	43	2	no	—
755	C₂⁵	—	43	2	no	—
756	C₂×#41	—	43	8	no	—
757	C₂×#41	—	43	8	no	—
758	C₂×#41	—	43	16	no	—
759	C₂×#41	—	172	8	no	—
760	C₂×#41	—	172	4	no	—
761	C₂×#41	—	172	4	no	—
762	C₂²×Q₈	—	43	8	no	—
763	C₂²×Q₈	—	43	2	no	—
764	C₂²×Q₈	—	43	1	no	—
765	C₂²×Q₈	—	43	1	no	—
766	C₂²×Q₈	—	43	1	no	—
767	C₂²×Q₈	—	172	4	no	—
768	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
769	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
770	C₂²×D₄	—	43	2	no	—
771	C₂²×D₄	—	43	2	no	—
772	C₂²×D₄	—	43	2	no	—
773	C₂²×D₄	—	43	2	no	—
774	C₂²×D₄	—	43	2	no	—
775	C₂²×D₄	—	43	2	no	—
776	C₂²×D₄	—	43	2	no	—
777	C₂²×D₄	—	43	2	no	—
778	C₂²×D₄	—	43	8	no	—
779	C₂²×D₄	—	43	16	no	—
780	C₂²×D₄	—	43	16	no	—
781	C₂²×D₄	—	43	2	no	—
782	C₂²×D₄	—	43	2	no	—
783	C₂²×D₄	—	43	1	no	—
784	C₂²×D₄	—	43	2	no	—
785	C₂²×D₄	—	43	2	no	—
786	C₂²×D₄	—	43	1	no	—
787	C₂²×D₄	—	43	1	no	—
788	C₂²×D₄	—	43	2	no	—
789	C₂²×D₄	—	43	2	no	—
790	C₂²×D₄	—	43	16	no	—
791	C₂²×D₄	—	172	8	no	—
792	C₂²×D₄	—	172	4	no	—
793	C₂²×D₄	—	172	8	no	—
794	C₂²×D₄	—	172	8	no	—
795	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
796	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
797	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
798	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
799	C₂³×C₄	—	43	2	no	—
800	C₂³×C₄	—	43	1	no	—
801	C₂³×C₄	—	43	2	no	—
802	C₂³×C₄	—	43	1	no	—
803	C₂³×C₄	—	43	2	no	—
804	C₂³×C₄	—	43	1	no	—
805	C₂³×C₄	—	43	2	no	—
806	C₂³×C₄	—	43	2	no	—
807	C₂³×C₄	—	43	2	no	—
808	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
809	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
810	C₄⋊Q₈	—	43	8	no	—
811	#127	—	43	8	no	—
812	#127	—	43	16	no	—
813	#126	—	43	16	no	—
814	#126	—	43	16	no	—
815	#126	—	43	16	no	—
816	#125	C₂²×D₄₃	1	8	yes	complemented
817	#124	—	43	8	no	—
818	#124	—	43	16	no	—
819	#124	—	43	16	no	—
820	#124	—	43	8	no	—
821	#124	—	43	16	no	—
822	#124	—	43	16	no	—
823	#124	—	43	16	no	—
824	#124	—	43	16	no	—
825	#124	—	43	16	no	—
826	#124	—	43	16	no	—
827	#124	—	43	16	no	—
828	#124	—	43	8	no	—
829	#124	—	43	8	no	—
830	#124	—	43	8	no	—
831	#124	C₂²×D₄₃	1	8	yes	complemented
832	#124	C₂²×D₄₃	1	8	yes	complemented
833	#123	—	43	16	no	—
834	#123	—	43	16	no	—
835	#123	—	43	16	no	—
836	#123	—	43	16	no	—
837	#123	—	43	16	no	—
838	#123	—	43	16	no	—
839	#123	—	43	16	no	—
840	#123	C₂²×D₄₃	1	16	yes	complemented
841	#123	C₂²×D₄₃	1	16	yes	complemented
842	C₂²⋊Q₈	—	43	8	no	—
843	C₂²⋊Q₈	—	43	16	no	—
844	C₂²⋊Q₈	—	43	16	no	—
845	C₂²⋊Q₈	—	43	16	no	—
846	C₂²⋊Q₈	C₂²×D₄₃	1	16	yes	complemented
847	C₂²⋊Q₈	C₂²×D₄₃	1	16	yes	complemented
848	#121	—	43	16	no	—
849	#121	—	43	16	no	—
850	#121	—	43	16	no	—
851	#121	—	43	8	no	—
852	#121	—	43	16	no	—
853	#121	—	43	16	no	—
854	#121	—	43	16	no	—
855	#121	—	43	16	no	—
856	#121	—	43	16	no	—
857	#121	—	43	16	no	—
858	#121	—	43	16	no	—
859	#121	—	43	16	no	—
860	#121	C₂²×D₄₃	1	16	yes	complemented
861	#121	C₂²×D₄₃	1	16	yes	complemented
862	#120	—	43	16	no	—
863	#120	—	43	16	no	—
864	#120	—	43	16	no	—
865	#120	—	43	16	no	—
866	#120	—	43	16	no	—
867	#120	—	43	16	no	—
868	#120	—	43	16	no	—
869	#120	—	43	16	no	—
870	#120	—	43	16	no	—
871	#120	—	43	16	no	—
872	C₄×Q₈	—	43	8	no	—
873	C₄×Q₈	—	43	16	no	—
874	C₄×D₄	—	43	16	no	—
875	C₄×D₄	—	43	16	no	—
876	C₄×D₄	—	43	16	no	—
877	C₄×D₄	—	43	16	no	—
878	C₄×D₄	—	43	8	no	—
879	C₄×D₄	—	43	16	no	—
880	C₄×D₄	—	43	16	no	—
881	C₄×D₄	—	43	16	no	—
882	C₄×D₄	—	43	16	no	—
883	#117	—	43	16	no	—
884	C₂×C₄⋊C₄	—	43	2	no	—
885	C₂×C₄⋊C₄	—	43	2	no	—
886	C₂×C₄⋊C₄	—	43	2	no	—
887	C₂×C₄⋊C₄	—	43	2	no	—
888	C₂×C₄⋊C₄	—	43	2	no	—
889	C₂×C₄⋊C₄	—	43	2	no	—
890	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
891	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
892	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
893	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
894	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
895	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
896	C₂×C₂²⋊C₄	—	43	2	no	—
897	C₂×C₂²⋊C₄	—	43	2	no	—
898	C₂×C₂²⋊C₄	—	43	2	no	—
899	C₂×C₂²⋊C₄	—	43	2	no	—
900	C₂×C₂²⋊C₄	—	43	2	no	—
901	C₂×C₂²⋊C₄	—	43	2	no	—
902	C₂×C₂²⋊C₄	—	43	2	no	—
903	C₂×C₂²⋊C₄	—	43	2	no	—
904	C₂×C₂²⋊C₄	—	43	2	no	—
905	C₂×C₂²⋊C₄	—	43	2	no	—
906	C₂×C₂²⋊C₄	—	43	2	no	—
907	C₂×C₂²⋊C₄	—	43	2	no	—
908	C₂×C₂²⋊C₄	—	43	16	no	—
909	C₂×C₂²⋊C₄	—	43	2	no	—
910	C₂×C₂²⋊C₄	—	43	2	no	—
911	C₂×C₂²⋊C₄	—	43	2	no	—
912	C₂×C₂²⋊C₄	—	43	2	no	—
913	C₂×C₂²⋊C₄	—	43	2	no	—
914	C₂×C₂²⋊C₄	—	43	2	no	—
915	C₂×C₂²⋊C₄	—	43	2	no	—
916	C₂×C₂²⋊C₄	—	43	2	no	—
917	C₂×C₂²⋊C₄	—	43	2	no	—
918	C₂×C₂²⋊C₄	—	43	16	no	—
919	C₂×C₂²⋊C₄	—	43	16	no	—
920	C₂×C₂²⋊C₄	—	43	16	no	—
921	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
922	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
923	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
924	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
925	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
926	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
927	C₂×C₄²	—	43	1	no	—
928	C₂×C₄²	—	43	2	no	—
929	C₂×C₄²	—	43	1	no	—
930	C₂×C₄²	—	43	2	no	—
931	C₂×C₄²	—	43	2	no	—
932	C₂×C₄²	—	43	1	no	—
933	C₂×C₄²	—	43	8	no	—
934	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
935	C₂⁴	—	43	1	no	—
936	C₂⁴	—	43	2	no	—
937	C₂⁴	—	43	2	no	—
938	C₂⁴	—	43	2	no	—
939	C₂⁴	—	43	8	no	—
940	C₂⁴	—	43	8	no	—
941	C₂⁴	—	43	8	no	—
942	C₂⁴	—	86	8	no	—
943	C₂⁴	—	172	4	no	—
944	C₂⁴	—	172	4	no	—
945	C₂⁴	—	172	4	no	—
946	C₂⁴	—	172	4	no	—
947	C₂⁴	—	172	4	no	—
948	C₂⁴	—	172	4	no	—
949	C₂⁴	—	172	4	no	—
950	C₂⁴	—	172	4	no	—
951	C₂⁴	C₂³×D₄₃	1	2	yes	—
952	C₂⁴	C₂³×D₄₃	1	2	yes	—
953	#41	—	172	32	no	—
954	#41	—	172	16	no	—
955	#41	—	172	16	no	—
956	C₂×Q₈	—	4	2	no	—
957	C₂×Q₈	—	4	2	no	—
958	C₂×Q₈	—	43	8	no	—
959	C₂×Q₈	—	43	4	no	—
960	C₂×Q₈	—	43	4	no	—
961	C₂×Q₈	—	43	4	no	—
962	C₂×Q₈	—	86	8	no	—
963	C₂×Q₈	—	172	2	no	—
964	C₂×Q₈	—	172	2	no	—
965	C₂×Q₈	—	172	2	no	—
966	C₂×Q₈	—	172	16	no	—
967	C₂×Q₈	C₂³×D₄₃	1	4	yes	—
968	C₂×Q₈	C₂³×D₄₃	1	4	yes	—
969	C₂×D₄	—	4	4	no	—
970	C₂×D₄	—	4	4	no	—
971	C₂×D₄	—	4	2	no	—
972	C₂×D₄	—	4	2	no	—
973	C₂×D₄	—	43	8	no	—
974	C₂×D₄	—	43	8	no	—
975	C₂×D₄	—	43	8	no	—
976	C₂×D₄	—	43	8	no	—
977	C₂×D₄	—	43	8	no	—
978	C₂×D₄	—	43	8	no	—
979	C₂×D₄	—	43	8	no	—
980	C₂×D₄	—	43	8	no	—
981	C₂×D₄	—	43	8	no	—
982	C₂×D₄	—	43	8	no	—
983	C₂×D₄	—	43	4	no	—
984	C₂×D₄	—	43	8	no	—
985	C₂×D₄	—	43	8	no	—
986	C₂×D₄	—	43	4	no	—
987	C₂×D₄	—	43	4	no	—
988	C₂×D₄	—	43	8	no	—
989	C₂×D₄	—	43	8	no	—
990	C₂×D₄	—	86	8	no	—
991	C₂×D₄	—	86	8	no	—
992	C₂×D₄	—	86	8	no	—
993	C₂×D₄	—	86	8	no	—
994	C₂×D₄	—	86	8	no	—
995	C₂×D₄	—	172	4	no	—
996	C₂×D₄	—	172	4	no	—
997	C₂×D₄	—	172	4	no	—
998	C₂×D₄	—	172	2	no	—
999	C₂×D₄	—	172	4	no	—
1000	C₂×D₄	—	172	2	no	—
1001	C₂×D₄	—	172	2	no	—
1002	C₂×D₄	—	172	32	no	—
1003	C₂×D₄	—	172	16	no	—
1004	C₂×D₄	—	172	32	no	—
1005	C₂×D₄	—	172	4	no	—
1006	C₂×D₄	—	172	4	no	—
1007	C₂×D₄	—	172	4	no	—
1008	C₂×D₄	—	172	4	no	—
1009	C₂×D₄	—	172	4	no	—
1010	C₂×D₄	—	172	32	no	—
1011	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1012	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1013	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1014	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1015	C₂²×C₄	—	4	4	no	—
1016	C₂²×C₄	—	4	4	no	—
1017	C₂²×C₄	—	43	1	no	—
1018	C₂²×C₄	—	43	2	no	—
1019	C₂²×C₄	—	43	1	no	—
1020	C₂²×C₄	—	43	1	no	—
1021	C₂²×C₄	—	43	2	no	—
1022	C₂²×C₄	—	43	2	no	—
1023	C₂²×C₄	—	43	8	no	—
1024	C₂²×C₄	—	43	4	no	—
1025	C₂²×C₄	—	43	4	no	—
1026	C₂²×C₄	—	43	8	no	—
1027	C₂²×C₄	—	43	4	no	—
1028	C₂²×C₄	—	43	8	no	—
1029	C₂²×C₄	—	43	8	no	—
1030	C₂²×C₄	—	43	8	no	—
1031	C₂²×C₄	—	43	8	no	—
1032	C₂²×C₄	—	86	4	no	—
1033	C₂²×C₄	—	86	8	no	—
1034	C₂²×C₄	—	86	4	no	—
1035	C₂²×C₄	—	172	4	no	—
1036	C₂²×C₄	—	172	4	no	—
1037	C₂²×C₄	—	172	4	no	—
1038	C₂²×C₄	—	172	4	no	—
1039	C₂²×C₄	—	172	2	no	—
1040	C₂²×C₄	—	172	4	no	—
1041	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1042	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1043	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1044	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1045	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1046	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1047	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1048	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1049	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1050	C₄⋊C₄	—	43	8	no	—
1051	C₄⋊C₄	—	43	8	no	—
1052	C₄⋊C₄	—	43	8	no	—
1053	C₄⋊C₄	—	43	8	no	—
1054	C₄⋊C₄	—	43	8	no	—
1055	C₄⋊C₄	—	43	8	no	—
1056	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1057	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1058	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1059	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1060	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1061	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1062	C₂²⋊C₄	—	43	8	no	—
1063	C₂²⋊C₄	—	43	8	no	—
1064	C₂²⋊C₄	—	43	8	no	—
1065	C₂²⋊C₄	—	43	8	no	—
1066	C₂²⋊C₄	—	43	8	no	—
1067	C₂²⋊C₄	—	43	8	no	—
1068	C₂²⋊C₄	—	43	8	no	—
1069	C₂²⋊C₄	—	43	8	no	—
1070	C₂²⋊C₄	—	43	8	no	—
1071	C₂²⋊C₄	—	43	8	no	—
1072	C₂²⋊C₄	—	43	8	no	—
1073	C₂²⋊C₄	—	43	8	no	—
1074	C₂²⋊C₄	—	43	8	no	—
1075	C₂²⋊C₄	—	43	8	no	—
1076	C₂²⋊C₄	—	43	8	no	—
1077	C₂²⋊C₄	—	43	8	no	—
1078	C₂²⋊C₄	—	43	8	no	—
1079	C₂²⋊C₄	—	43	8	no	—
1080	C₂²⋊C₄	—	43	8	no	—
1081	C₂²⋊C₄	—	43	8	no	—
1082	C₂²⋊C₄	—	43	8	no	—
1083	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1084	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1085	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1086	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1087	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1088	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1089	C₄²	—	43	4	no	—
1090	C₄²	—	43	4	no	—
1091	C₄²	—	43	4	no	—
1092	C₄²	—	43	8	no	—
1093	C₄²	—	43	8	no	—
1094	C₄²	—	43	8	no	—
1095	C₄²	C₂³×D₄₃	1	4	yes	—
1096	C₂³	—	2	4	no	—
1097	C₂³	—	2	4	no	—
1098	C₂³	—	2	4	no	—
1099	C₂³	—	2	4	no	—
1100	C₂³	—	2	4	no	—
1101	C₂³	—	2	4	no	—
1102	C₂³	—	43	4	no	—
1103	C₂³	—	43	2	no	—
1104	C₂³	—	43	4	no	—
1105	C₂³	—	43	4	no	—
1106	C₂³	—	43	4	no	—
1107	C₂³	—	86	16	no	—
1108	C₂³	—	86	2	no	—
1109	C₂³	—	86	2	no	—
1110	C₂³	—	86	4	no	—
1111	C₂³	—	86	4	no	—
1112	C₂³	—	86	4	no	—
1113	C₂³	—	86	4	no	—
1114	C₂³	—	86	4	no	—
1115	C₂³	—	86	4	no	—
1116	C₂³	—	86	4	no	—
1117	C₂³	—	86	4	no	—
1118	C₂³	—	86	4	no	—
1119	C₂³	—	344	16	no	—
1120	C₂³	—	344	16	no	—
1121	C₂³	—	344	16	no	—
1122	C₂³	—	172	8	no	—
1123	C₂³	—	172	8	no	—
1124	C₂³	—	172	8	no	—
1125	C₂³	—	172	8	no	—
1126	C₂³	—	172	8	no	—
1127	C₂³	—	172	8	no	—
1128	C₂³	—	172	8	no	—
1129	C₂³	—	172	8	no	—
1130	C₂³	C₂⁴×D₄₃	1	4	yes	—
1131	C₂³	C₂⁴×D₄₃	1	4	yes	—
1132	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1133	Q₈	—	4	4	no	—
1134	Q₈	—	4	4	no	—
1135	Q₈	—	86	16	no	—
1136	Q₈	—	172	4	no	—
1137	Q₈	—	172	4	no	—
1138	Q₈	—	172	4	no	—
1139	D₄	—	4	8	no	—
1140	D₄	—	4	8	no	—
1141	D₄	—	4	4	no	—
1142	D₄	—	4	4	no	—
1143	D₄	—	86	16	no	—
1144	D₄	—	86	16	no	—
1145	D₄	—	86	16	no	—
1146	D₄	—	86	16	no	—
1147	D₄	—	86	16	no	—
1148	D₄	—	172	8	no	—
1149	D₄	—	172	8	no	—
1150	D₄	—	172	8	no	—
1151	D₄	—	172	4	no	—
1152	D₄	—	172	8	no	—
1153	D₄	—	172	4	no	—
1154	D₄	—	172	4	no	—
1155	D₄	—	172	8	no	—
1156	D₄	—	172	8	no	—
1157	D₄	—	172	8	no	—
1158	D₄	—	172	8	no	—
1159	D₄	—	172	8	no	—
1160	C₂×C₄	—	2	4	no	—
1161	C₂×C₄	—	2	4	no	—
1162	C₂×C₄	—	2	4	no	—
1163	C₂×C₄	—	2	4	no	—
1164	C₂×C₄	—	2	2	no	—
1165	C₂×C₄	—	2	2	no	—
1166	C₂×C₄	—	2	2	no	—
1167	C₂×C₄	—	4	8	no	—
1168	C₂×C₄	—	4	8	no	—
1169	C₂×C₄	—	43	4	no	—
1170	C₂×C₄	—	43	2	no	—
1171	C₂×C₄	—	43	4	no	—
1172	C₂×C₄	—	43	2	no	—
1173	C₂×C₄	—	43	2	no	—
1174	C₂×C₄	—	43	4	no	—
1175	C₂×C₄	—	43	4	no	—
1176	C₂×C₄	—	86	8	no	—
1177	C₂×C₄	—	86	16	no	—
1178	C₂×C₄	—	86	8	no	—
1179	C₂×C₄	—	86	2	no	—
1180	C₂×C₄	—	86	4	no	—
1181	C₂×C₄	—	86	4	no	—
1182	C₂×C₄	—	86	2	no	—
1183	C₂×C₄	—	86	4	no	—
1184	C₂×C₄	—	172	8	no	—
1185	C₂×C₄	—	172	8	no	—
1186	C₂×C₄	—	172	8	no	—
1187	C₂×C₄	—	172	8	no	—
1188	C₂×C₄	—	172	4	no	—
1189	C₂×C₄	—	172	8	no	—
1190	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1191	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1192	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1193	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1194	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1195	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1196	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1197	C₂²	—	2	4	no	—
1198	C₂²	—	2	4	no	—
1199	C₂²	—	2	4	no	—
1200	C₂²	—	2	4	no	—
1201	C₂²	—	2	4	no	—
1202	C₂²	—	2	4	no	—
1203	C₂²	—	4	8	no	—
1204	C₂²	—	4	8	no	—
1205	C₂²	—	43	4	no	—
1206	C₂²	—	86	8	no	—
1207	C₂²	—	86	2	no	—
1208	C₂²	—	86	2	no	—
1209	C₂²	—	86	4	no	—
1210	C₂²	—	86	4	no	—
1211	C₂²	—	86	4	no	—
1212	C₂²	—	86	4	no	—
1213	C₂²	—	86	4	no	—
1214	C₂²	—	86	4	no	—
1215	C₂²	—	86	4	no	—
1216	C₂²	—	86	4	no	—
1217	C₂²	—	86	4	no	—
1218	C₂²	—	344	16	no	—
1219	C₂²	—	344	16	no	—
1220	C₂²	—	344	16	no	—
1221	C₂²	—	172	8	no	—
1222	C₂²	—	172	8	no	—
1223	C₂²	—	172	8	no	—
1224	C₂²	H(5,𝔽₂)×D₄₃	1	2	yes	—
1225	C₂²	H(5,𝔽₂)×D₄₃	1	2	yes	—
1226	C₂²	#14583736	1	2	yes	—
1227	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1228	C₄	—	2	4	no	—
1229	C₄	—	2	4	no	—
1230	C₄	—	2	4	no	—
1231	C₄	—	2	4	no	—
1232	C₄	—	2	2	no	—
1233	C₄	—	2	2	no	—
1234	C₄	—	2	2	no	—
1235	C₄	—	43	4	no	—
1236	C₄	—	86	2	no	—
1237	C₄	—	86	4	no	—
1238	C₄	—	86	4	no	—
1239	C₄	—	86	2	no	—
1240	C₄	—	86	4	no	—
1241	C₂	—	4	4	no	—
1242	C₂	—	4	4	no	—
1243	C₂	—	86	4	no	—
1244	C₂	—	172	4	no	—
1245	C₂	—	172	4	no	—
1246	C₂	—	172	4	no	—
1247	C₂	#19149117	1	4	yes	direct product factor
1248	C₂	C₂×H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1249	C₂	C₂×H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1250	C₂	C₂×#14583736	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₄₃
commutator, cosocle	C₂²×C₄₃	C₂⁶
Frattini	C₂²	C₂⁵×D₄₃
Fitting	C₂×C₄₃×#562	C₂
socle	C₂³×C₄₃	C₂⁵
hypercenter	C₂×#562	D₄₃
hypocenter	C₄₃	C₂×#3558
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂×#562

Complements

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

N	H ≅ G/N	type
1. #19149117	C₂	direct (N × H)
2. C₂×#14583647	C₂	semidirect
3. C₂×#14583641	C₂	semidirect
4. C₂×#14583641	C₂	semidirect
5. C₂×#14583633	C₂	semidirect
6. C₂×#14583559	C₂	semidirect
7. C₂×#14583541	C₂	semidirect
8. C₂×#14583540	C₂	semidirect
9. C₂×#14583538	C₂	semidirect
10. C₂×#14583533	C₂	semidirect
11. C₂×#14583519	C₂	semidirect
12. C₂×#14583489	C₂	semidirect
13. C₂×#14583485	C₂	semidirect
14. C₂×#14583481	C₂	semidirect
15. C₂×#14583465	C₂	semidirect
16. C₂×#14583460	C₂	semidirect
17. C₂×#14583448	C₂	semidirect
18. C₂×#14583434	C₂	semidirect
19. C₂×#124×D₄₃	C₂	semidirect
20. C₂×C₄₃×#562	C₂	semidirect
21. C₂²×#10621902	C₂²	semidirect
22. C₂²×#10621898	C₂²	semidirect
23. C₂²×#10621900	C₂²	semidirect
24. C₂²×Q₈×D₄₃	C₂²	semidirect
25. C₂³×D₁₇₂	C₂²	semidirect
27. C₂²×D₄×D₄₃	C₂²	semidirect
28. C₂²×D₄×D₄₃	C₂²	semidirect
29. #14583647	C₂²	semidirect
30. #14583641	C₂²	semidirect
31. #14583641	C₂²	semidirect
32. #14583633	C₂²	semidirect
33. #14583559	C₂²	semidirect
34. #14583541	C₂²	semidirect
35. #14583540	C₂²	semidirect
36. #14583538	C₂²	semidirect
37. #14583533	C₂²	semidirect
38. #14583519	C₂²	semidirect
39. #14583489	C₂²	semidirect
40. #14583485	C₂²	semidirect
41. #14583481	C₂²	semidirect
42. #14583465	C₂²	semidirect
43. #14583460	C₂²	semidirect
44. #14583448	C₂²	semidirect
45. C₂×#13063323	C₂²	semidirect
47. C₂×#13063321	C₂²	semidirect
48. #14583434	C₂²	semidirect
49. C₂×#13063320	C₂²	semidirect
50. C₂×#13063320	C₂²	semidirect
51. C₂×#13063318	C₂²	semidirect
52. C₂×#13063314	C₂²	semidirect
53. C₂×#13063314	C₂²	semidirect
54. C₂×#13063314	C₂²	semidirect
55. C₂×#13063313	C₂²	semidirect
56. C₂×#13063313	C₂²	semidirect
57. C₂×#13063313	C₂²	semidirect
58. C₂×#13063312	C₂²	semidirect
59. C₂×#13063311	C₂²	semidirect
60. C₂×#13063311	C₂²	semidirect
61. C₂×#13063311	C₂²	semidirect
62. C₂×#13063311	C₂²	semidirect
63. C₂×#13063311	C₂²	semidirect
64. C₂×#13063311	C₂²	semidirect
65. C₂×#13063311	C₂²	semidirect
66. #124×D₄₃	C₂²	semidirect
67. C₂×#13063310	C₂²	semidirect
68. C₂×#13063310	C₂²	semidirect
69. C₂×#13063310	C₂²	semidirect
70. C₂×#13063310	C₂²	semidirect
71. C₂×#13063310	C₂²	semidirect
72. C₂×#13063308	C₂²	semidirect
73. C₂×#13063306	C₂²	semidirect
74. C₂×#13063305	C₂²	semidirect
75. C₂×#13063303	C₂²	semidirect
76. C₂×#13063303	C₂²	semidirect
77. C₂×#13063303	C₂²	semidirect
79. C₂×#13063300	C₂²	semidirect
80. C₂×#13063300	C₂²	semidirect
81. C₂×#13063300	C₂²	semidirect
82. C₂×#13063300	C₂²	semidirect
83. C₂×#13063299	C₂²	semidirect
85. C₂×#13063298	C₂²	semidirect
86. C₂×#13063298	C₂²	semidirect
87. C₂×#13063298	C₂²	semidirect
88. C₂×#13063297	C₂²	semidirect
89. C₂×#13063296	C₂²	semidirect
90. C₂×#13063295	C₂²	semidirect
91. C₂×#13063295	C₂²	semidirect
92. C₂×#13063295	C₂²	semidirect
93. C₂×#13063295	C₂²	semidirect
94. C₂×#13063295	C₂²	semidirect
95. C₂×#13063295	C₂²	semidirect
96. C₂×#13063293	C₂²	semidirect
97. C₂×#13063293	C₂²	semidirect
98. C₂×#13063293	C₂²	semidirect
99. C₂×#13063293	C₂²	semidirect
100. C₂×#13063290	C₂²	semidirect
101. C₂×#13063290	C₂²	semidirect
102. C₂×#13063287	C₂²	semidirect
103. C₂×#13063287	C₂²	semidirect
104. C₂×#13063287	C₂²	semidirect
105. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
106. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
107. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
108. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
109. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
110. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
111. C₂×#13063283	C₂²	semidirect
112. C₂²×(C₂×D₄₃)⋊C₄	C₂²	semidirect
113. C₂×C₂²⋊C₄×D₄₃	C₂²	semidirect
114. C₂×C₂²⋊C₄×D₄₃	C₂²	semidirect
115. C₂×C₂²⋊C₄×D₄₃	C₂²	semidirect
116. C₂×C₄²×D₄₃	C₂²	semidirect
117. C₄₃×#562	C₂²	semidirect
118. C₂×#125×C₄₃	C₂²	semidirect
119. C₂×#124×C₄₃	C₂²	semidirect
120. C₂×#124×C₄₃	C₂²	semidirect
121. C₂×#123×C₄₃	C₂²	semidirect
122. C₂×#123×C₄₃	C₂²	semidirect
123. C₂×C₂²⋊Q₈×C₄₃	C₂²	semidirect
124. C₂×C₂²⋊Q₈×C₄₃	C₂²	semidirect
125. C₂×#121×C₄₃	C₂²	semidirect
126. C₂×#121×C₄₃	C₂²	semidirect
131. C₂×#10621902	C₂³	semidirect
133. C₂×#10621898	C₂³	semidirect
135. C₂×#10621900	C₂³	semidirect
141. C₂×Q₈×D₄₃	C₂³	semidirect
152. C₂²×D₁₇₂	C₂³	semidirect
165. C₂×D₄×D₄₃	C₂³	semidirect
166. C₂×D₄×D₄₃	C₂³	semidirect
176. #13063323	C₂³	semidirect
178. #13063321	C₂³	semidirect
179. #13063320	C₂³	semidirect
180. #13063320	C₂³	semidirect
181. #13063318	C₂³	semidirect
182. #13063314	C₂³	semidirect
183. #13063314	C₂³	semidirect
184. #13063314	C₂³	semidirect
185. #13063313	C₂³	semidirect
186. #13063313	C₂³	semidirect
187. #13063313	C₂³	semidirect
188. #13063312	C₂³	semidirect
189. #13063311	C₂³	semidirect
190. #13063311	C₂³	semidirect
191. #13063311	C₂³	semidirect
192. #13063311	C₂³	semidirect
193. #13063311	C₂³	semidirect
194. #13063311	C₂³	semidirect
195. #13063311	C₂³	semidirect
196. #13063310	C₂³	semidirect
197. #13063310	C₂³	semidirect
198. #13063310	C₂³	semidirect
199. #13063310	C₂³	semidirect
200. #13063310	C₂³	semidirect
201. #13063308	C₂³	semidirect
202. #13063306	C₂³	semidirect
203. #13063305	C₂³	semidirect
204. #13063303	C₂³	semidirect
205. #13063303	C₂³	semidirect
206. #13063303	C₂³	semidirect
208. #13063300	C₂³	semidirect
209. #13063300	C₂³	semidirect
210. #13063300	C₂³	semidirect
211. #13063300	C₂³	semidirect
212. #13063299	C₂³	semidirect
214. #13063298	C₂³	semidirect
215. #13063298	C₂³	semidirect
216. #13063298	C₂³	semidirect
217. #13063297	C₂³	semidirect
218. #13063296	C₂³	semidirect
219. #13063295	C₂³	semidirect
220. #13063295	C₂³	semidirect
221. #13063295	C₂³	semidirect
222. #13063295	C₂³	semidirect
223. #13063295	C₂³	semidirect
224. #13063295	C₂³	semidirect
225. #13063293	C₂³	semidirect
226. #13063293	C₂³	semidirect
227. #13063293	C₂³	semidirect
228. #13063293	C₂³	semidirect
229. #13063290	C₂³	semidirect
230. #13063290	C₂³	semidirect
231. #13063287	C₂³	semidirect
232. #13063287	C₂³	semidirect
233. #13063287	C₂³	semidirect
234. C₄×C₂²⋊D₄₃	C₂³	semidirect
235. C₄×C₂²⋊D₄₃	C₂³	semidirect
236. C₄×C₂²⋊D₄₃	C₂³	semidirect
237. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
238. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
239. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
240. #13063283	C₂³	semidirect
268. C₂×(C₂×D₄₃)⋊C₄	C₂³	semidirect
269. C₂²⋊C₄×D₄₃	C₂³	semidirect
270. C₂²⋊C₄×D₄₃	C₂³	semidirect
271. C₂²⋊C₄×D₄₃	C₂³	semidirect
278. C₄²×D₄₃	C₂³	semidirect
287. #125×C₄₃	C₂³	semidirect
288. #124×C₄₃	C₂³	semidirect
289. #124×C₄₃	C₂³	semidirect
290. #123×C₄₃	C₂³	semidirect
291. #123×C₄₃	C₂³	semidirect
292. C₂²⋊Q₈×C₄₃	C₂³	semidirect
293. C₂²⋊Q₈×C₄₃	C₂³	semidirect
294. #121×C₄₃	C₂³	semidirect
295. #121×C₄₃	C₂³	semidirect
618. C₂×#562	D₄₃	semidirect
638. C₂×C₄₃	#3558	semidirect
655. #562	C₂×D₄₃	semidirect
678. C₂×#125	C₂×D₄₃	semidirect
694. C₂×#124	C₂×D₄₃	semidirect
695. C₂×#124	C₂×D₄₃	semidirect
703. C₂×#123	C₂×D₄₃	semidirect
704. C₂×#123	C₂×D₄₃	semidirect
709. C₂×C₂²⋊Q₈	C₂×D₄₃	semidirect
710. C₂×C₂²⋊Q₈	C₂×D₄₃	semidirect
723. C₂×#121	C₂×D₄₃	semidirect
724. C₂×#121	C₂×D₄₃	semidirect
752. C₄₃	C₂×#3558	semidirect
816. #125	C₂²×D₄₃	semidirect
831. #124	C₂²×D₄₃	semidirect
832. #124	C₂²×D₄₃	semidirect
840. #123	C₂²×D₄₃	semidirect
841. #123	C₂²×D₄₃	semidirect
846. C₂²⋊Q₈	C₂²×D₄₃	semidirect
847. C₂²⋊Q₈	C₂²×D₄₃	semidirect
860. #121	C₂²×D₄₃	semidirect
861. #121	C₂²×D₄₃	semidirect
1247. C₂	#19149117	direct (N × H)

Maximal subgroups

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

subgroup	index
#19149117	2
C₂×#14583647	2
C₂×#14583641	2
C₂×#14583633	2
C₂×#14583559	2
C₂×#14583541	2
C₂×#14583540	2
C₂×#14583538	2
C₂×#14583533	2
C₂×#14583519	2
C₂×#14583489	2
C₂×#14583485	2
C₂×#14583481	2
C₂×#14583465	2
C₂×#14583460	2
C₂×#14583448	2
C₂×#14583434	2
C₂×#124×D₄₃	2
C₂×C₄₃×#562	2
C₂×#3558	43

Subgroups — C2×#19149117 #26003928

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#19149117 #26003928