Subgroups — #26005247

Order 11008.

7382 conjugacy classes of subgroups.

The subgroup lattice has 1362 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148792	C₂	1	8	yes	maximal, complemented
2	#19148773	C₂	1	8	yes	maximal, complemented
3	#19148768	C₂	1	4	yes	maximal, complemented
4	#19148756	C₂	1	4	yes	maximal, complemented
5	#19148528	C₂	1	8	yes	maximal, complemented
6	#19148520	C₂	1	8	yes	maximal, complemented
7	#19148296	C₂	1	4	yes	maximal, complemented
8	#19148292	C₂	1	2	yes	maximal, complemented
9	#19148288	C₂	1	2	yes	maximal, complemented
10	#19148282	C₂	1	4	yes	maximal, complemented
11	#19148282	C₂	1	2	yes	maximal, complemented
12	#19148236	C₂	1	2	yes	maximal, complemented
13	#19148235	C₂	1	2	yes	maximal, complemented
14	#19148230	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#14583405	C₂	1	2	yes	maximal, complemented
16	C₂²×#13063306	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄₃×#3484	C₂	1	1	yes	maximal, characteristic, complemented
18	C₂×#13063370	C₂²	1	1	yes	characteristic, complemented
19	C₂²×#10621900	C₂²	1	2	yes	complemented
20	C₂⁴×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
21	#14583652	C₂²	1	4	yes	complemented
22	#14583649	C₂²	1	4	yes	complemented
23	#14583644	C₂²	1	8	yes	complemented
24	#14583644	C₂²	1	8	yes	complemented
25	#14583638	C₂²	1	4	yes	complemented
26	#14583636	C₂²	1	4	yes	complemented
27	#14583635	C₂²	1	4	yes	complemented
28	#14583633	C₂²	1	4	yes	complemented
29	#14583608	C₂²	1	8	yes	complemented
30	#14583603	C₂²	1	8	yes	complemented
31	#14583598	C₂²	1	8	yes	complemented
32	#14583596	C₂²	1	8	yes	complemented
33	#14583592	C₂²	1	8	yes	complemented
34	#14583592	C₂²	1	8	yes	complemented
35	#14583589	C₂²	1	8	yes	complemented
36	#14583586	C₂²	1	8	yes	complemented
37	#14583586	C₂²	1	8	yes	complemented
38	#14583582	C₂²	1	8	yes	complemented
39	#14583580	C₂²	1	8	yes	complemented
40	#14583580	C₂²	1	8	yes	complemented
41	#14583580	C₂²	1	8	yes	complemented
42	#14583580	C₂²	1	8	yes	complemented
43	#14583580	C₂²	1	4	yes	complemented
44	#14583579	C₂²	1	4	yes	complemented
45	#14583578	C₂²	1	8	yes	complemented
46	#14583575	C₂²	1	8	yes	complemented
47	#14583575	C₂²	1	8	yes	complemented
48	#14583575	C₂²	1	8	yes	complemented
49	#14583549	C₂²	1	8	yes	complemented
50	#14583548	C₂²	1	8	yes	complemented
51	#14583548	C₂²	1	8	yes	complemented
52	#14583547	C₂²	1	8	yes	complemented
53	#14583543	C₂²	1	8	yes	complemented
54	#14583543	C₂²	1	8	yes	complemented
55	#14583543	C₂²	1	8	yes	complemented
56	#14583543	C₂²	1	8	yes	complemented
57	#14583543	C₂²	1	8	yes	complemented
58	#14583538	C₂²	1	8	yes	complemented
59	#14583536	C₂²	1	8	yes	complemented
60	#14583536	C₂²	1	8	yes	complemented
61	#14583536	C₂²	1	8	yes	complemented
62	D₄×C₂²⋊D₄₃	C₂²	1	8	yes	complemented
63	#14583528	C₂²	1	4	yes	complemented
64	#14583525	C₂²	1	2	yes	complemented
65	#14583525	C₂²	1	4	yes	complemented
66	#14583516	C₂²	1	8	yes	complemented
67	#14583513	C₂²	1	8	yes	complemented
68	#14583503	C₂²	1	8	yes	complemented
69	#14583499	C₂²	1	8	yes	complemented
70	#14583498	C₂²	1	4	yes	complemented
71	#14583494	C₂²	1	4	yes	complemented
72	#14583494	C₂²	1	8	yes	complemented
73	#14583494	C₂²	1	8	yes	complemented
74	#14583492	C₂²	1	8	yes	complemented
75	#14583491	C₂²	1	8	yes	complemented
76	#14583491	C₂²	1	8	yes	complemented
77	#14583484	C₂²	1	8	yes	complemented
78	#14583484	C₂²	1	8	yes	complemented
79	#14583484	C₂²	1	8	yes	complemented
80	#14583484	C₂²	1	8	yes	complemented
81	#14583481	C₂²	1	8	yes	complemented
82	#14583476	C₂²	1	4	yes	complemented
83	#14583471	C₂²	1	4	yes	complemented
84	#14583470	C₂²	1	4	yes	complemented
85	#14583466	C₂²	1	2	yes	complemented
86	#14583459	C₂²	1	4	yes	complemented
87	#14583458	C₂²	1	2	yes	—
88	#14583458	C₂²	1	2	yes	complemented
89	#14583458	C₂²	1	2	yes	complemented
90	#14583458	C₂²	1	4	yes	complemented
91	#14583458	C₂²	1	4	yes	complemented
92	#14583430	C₂²	1	8	yes	complemented
93	#14583429	C₂²	1	8	yes	complemented
94	#14583410	C₂²	1	2	yes	complemented
95	#14583406	C₂²	1	4	yes	complemented
96	#14583405	C₂²	1	8	yes	complemented
97	#14583405	C₂²	1	8	yes	complemented
98	#14583405	C₂²	1	8	yes	complemented
99	#14583405	C₂²	1	8	yes	complemented
100	#14583405	C₂²	1	8	yes	complemented
101	#14583405	C₂²	1	4	yes	complemented
102	C₂×#13063309	C₂²	1	2	yes	complemented
103	C₂×#13063306	C₂²	1	2	yes	complemented
104	C₂×#13063306	C₂²	1	2	yes	complemented
105	C₂×#13063306	C₂²	1	2	yes	complemented
106	C₂×#13063306	C₂²	1	2	yes	complemented
107	C₂×#13063306	C₂²	1	8	yes	complemented
108	C₂×#13063306	C₂²	1	8	yes	complemented
109	C₂×#13063306	C₂²	1	2	yes	complemented
110	C₂×#13063306	C₂²	1	4	yes	complemented
111	#123×D₄₃	C₂²	1	4	yes	complemented
112	C₂×#13063302	C₂²	1	4	yes	complemented
113	C₂×#13063297	C₂²	1	4	yes	complemented
114	C₂×#13063294	C₂²	1	2	yes	complemented
115	C₂×#13063294	C₂²	1	2	yes	complemented
116	#14583378	C₂²	1	8	yes	complemented
117	#14583374	C₂²	1	1	yes	characteristic, complemented
118	#14583374	C₂²	1	2	yes	complemented
119	#14583374	C₂²	1	4	yes	complemented
120	#14583372	C₂²	1	2	yes	complemented
121	#14583372	C₂²	1	4	yes	complemented
122	C₂×D₄×Dic₄₃	C₂²	1	4	yes	complemented
123	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	4	yes	complemented
124	C₂×#13063281	C₂²	1	2	yes	complemented
125	C₂²×Dic₄₃⋊C₄	C₂²	1	2	yes	complemented
126	C₂²×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
127	C₂²×C₂²⋊Dic₄₃	C₂²	1	2	yes	complemented
128	C₂×H(5,𝔽₂)×C₄₃	C₂²	1	1	yes	characteristic, complemented
129	C₂³×D₄×C₄₃	C₂²	1	1	yes	characteristic
130	C₄₃×#546	C₂²	1	8	yes	complemented
131	D₄²×C₄₃	C₂²	1	8	yes	complemented
132	C₄₃×#535	C₂²	1	2	yes	complemented
133	C₄₃×#534	C₂²	1	2	yes	—
134	C₄₃×#534	C₂²	1	2	yes	complemented
135	C₄₃×#525	C₂²	1	2	yes	complemented
136	C₂×#120×C₄₃	C₂²	1	2	yes	complemented
137	C₂×#120×C₄₃	C₂²	1	2	yes	complemented
138	C₄₃×#518	C₂²	1	1	yes	characteristic, complemented
139	#13063370	—	4	4	no	—
140	C₂×#10621898	C₂³	1	2	yes	—
141	C₂×#10621900	—	4	8	no	—
142	C₂×#10621900	C₂³	1	8	yes	—
143	C₂×#10621900	C₂³	1	8	yes	—
144	C₂×#10621900	C₂³	1	4	yes	—
145	C₂×#10621900	C₂³	1	8	yes	complemented
146	C₂²×Dic₈₆	C₂³	1	2	yes	complemented
147	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
148	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
149	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
150	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
151	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	complemented
152	C₂×D₄×D₄₃	C₂³	1	4	yes	—
153	C₂³×Dic₄₃	—	4	4	no	—
154	C₂³×Dic₄₃	C₂³	1	2	yes	—
155	C₂³×Dic₄₃	C₂³	1	2	yes	—
156	C₂³×Dic₄₃	C₂³	1	2	yes	—
157	C₂³×Dic₄₃	C₂³	1	4	yes	—
158	C₂³×Dic₄₃	C₂³	1	4	yes	—
159	C₂³×Dic₄₃	C₂³	1	2	yes	—
160	C₂³×Dic₄₃	C₂³	1	2	yes	complemented
161	C₂²×C₄×D₄₃	C₂³	1	2	yes	complemented
162	#13063324	C₂³	1	8	yes	complemented
163	#13063323	C₂³	1	8	yes	complemented
164	#13063321	C₂³	1	4	yes	—
165	#13063320	C₂³	1	8	yes	complemented
166	#13063319	C₂³	1	8	yes	complemented
167	#13063318	C₂³	1	8	yes	complemented
168	#13063318	C₂³	1	8	yes	complemented
169	#13063318	C₂³	1	8	yes	complemented
170	#13063318	C₂³	1	8	yes	complemented
171	#13063318	C₂³	1	8	yes	complemented
172	#13063318	C₂³	1	8	yes	complemented
173	#13063318	C₂³	1	8	yes	complemented
174	#13063318	C₂³	1	8	yes	complemented
175	#13063317	C₂³	1	8	yes	complemented
176	#13063316	C₂³	1	8	yes	complemented
177	#13063315	C₂³	1	8	yes	complemented
178	#13063315	C₂³	1	8	yes	complemented
179	#13063315	C₂³	1	8	yes	complemented
180	#13063315	C₂³	1	8	yes	complemented
181	#13063312	C₂³	1	4	yes	—
182	#13063312	C₂³	1	8	yes	complemented
183	#13063312	C₂³	1	8	yes	complemented
184	#13063312	C₂³	1	8	yes	complemented
185	#13063311	C₂³	1	8	yes	complemented
186	#13063311	C₂³	1	8	yes	complemented
187	#13063311	C₂³	1	8	yes	complemented
188	#13063310	C₂³	1	8	yes	complemented
189	#13063309	C₂³	1	8	yes	—
190	#13063309	C₂³	1	8	yes	—
191	#13063309	C₂³	1	4	yes	complemented
192	#13063309	C₂³	1	4	yes	complemented
193	#13063308	C₂³	1	4	yes	—
194	#13063308	C₂³	1	8	yes	complemented
195	#13063308	C₂³	1	4	yes	complemented
196	#13063308	C₂³	1	8	yes	complemented
197	#13063307	C₂³	1	8	yes	complemented
198	#13063307	C₂³	1	8	yes	complemented
199	#13063307	C₂³	1	8	yes	complemented
200	#13063307	C₂³	1	8	yes	complemented
201	#13063306	C₂³	1	8	yes	—
202	#13063306	C₂³	1	4	yes	—
203	#13063306	C₂³	1	8	yes	—
204	#13063306	C₂³	1	8	yes	—
205	#13063306	C₂³	1	8	yes	—
206	#13063306	C₂³	1	4	yes	—
207	#13063306	C₂³	1	4	yes	—
208	#13063306	C₂³	1	4	yes	—
209	#13063306	C₂³	1	4	yes	—
210	#13063306	C₂³	1	4	yes	—
211	#13063306	C₂³	1	4	yes	—
212	#13063306	C₂³	1	4	yes	—
213	#13063306	C₂³	1	4	yes	—
214	#13063306	C₂³	1	4	yes	—
215	#13063306	C₂³	1	8	yes	—
216	#13063306	C₂³	1	8	yes	—
217	#13063306	C₂³	1	8	yes	complemented
218	#13063306	C₂³	1	8	yes	complemented
219	#13063306	C₂³	1	8	yes	complemented
220	#13063306	C₂³	1	4	yes	complemented
221	#13063306	C₂³	1	8	yes	complemented
222	#13063306	C₂³	1	8	yes	complemented
223	#13063306	C₂³	1	4	yes	complemented
224	#13063306	C₂³	1	4	yes	complemented
225	#13063304	C₂³	1	4	yes	—
226	#13063304	C₂³	1	8	yes	complemented
227	#13063304	C₂³	1	8	yes	complemented
228	#13063304	C₂³	1	8	yes	complemented
229	#13063304	C₂³	1	8	yes	complemented
230	#13063303	C₂³	1	8	yes	complemented
231	#13063303	C₂³	1	8	yes	complemented
232	#13063302	C₂³	1	8	yes	—
233	#13063302	C₂³	1	8	yes	—
234	#13063302	C₂³	1	8	yes	—
235	#13063302	C₂³	1	8	yes	—
236	#13063302	C₂³	1	8	yes	complemented
237	#13063302	C₂³	1	8	yes	complemented
238	#13063302	C₂³	1	8	yes	complemented
239	#13063302	C₂³	1	8	yes	complemented
240	#13063302	C₂³	1	8	yes	complemented
241	#13063302	C₂³	1	8	yes	complemented
242	#13063302	C₂³	1	8	yes	complemented
243	#13063301	C₂³	1	8	yes	complemented
244	#13063299	C₂³	1	4	yes	—
245	#13063298	C₂³	1	8	yes	complemented
246	#13063297	C₂³	1	8	yes	—
247	#13063297	C₂³	1	8	yes	—
248	#13063297	C₂³	1	8	yes	—
249	#13063297	C₂³	1	8	yes	—
250	#13063297	C₂³	1	8	yes	—
251	#13063297	C₂³	1	8	yes	—
252	#13063297	C₂³	1	8	yes	complemented
253	#13063297	C₂³	1	8	yes	complemented
254	#13063297	C₂³	1	8	yes	complemented
255	#13063297	C₂³	1	8	yes	complemented
256	#13063297	C₂³	1	8	yes	complemented
257	#13063297	C₂³	1	8	yes	complemented
258	#13063296	C₂³	1	8	yes	—
259	#13063296	C₂³	1	8	yes	complemented
260	#13063296	C₂³	1	8	yes	complemented
261	#13063296	C₂³	1	8	yes	complemented
262	#13063294	C₂³	1	4	yes	—
263	#13063294	C₂³	1	8	yes	—
264	#13063294	C₂³	1	8	yes	—
265	#13063294	C₂³	1	4	yes	—
266	#13063294	C₂³	1	4	yes	—
267	#13063294	C₂³	1	8	yes	complemented
268	#13063294	C₂³	1	4	yes	complemented
269	#13063293	C₂³	1	4	yes	—
270	#13063293	C₂³	1	4	yes	—
271	#13063293	C₂³	1	8	yes	complemented
272	#13063293	C₂³	1	4	yes	complemented
273	C₄×Dic₈₆	C₂³	1	8	yes	complemented
274	#13063290	C₂³	1	8	yes	complemented
275	D₄×Dic₄₃	C₂³	1	8	yes	—
276	D₄×Dic₄₃	C₂³	1	8	yes	—
277	D₄×Dic₄₃	C₂³	1	8	yes	—
278	D₄×Dic₄₃	C₂³	1	8	yes	—
279	D₄×Dic₄₃	C₂³	1	8	yes	—
280	D₄×Dic₄₃	C₂³	1	8	yes	complemented
281	D₄×Dic₄₃	C₂³	1	8	yes	complemented
282	D₄×Dic₄₃	C₂³	1	8	yes	complemented
283	D₄×Dic₄₃	C₂³	1	8	yes	complemented
284	D₄×Dic₄₃	C₂³	1	8	yes	complemented
285	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
286	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
287	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
288	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
289	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
290	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
291	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
292	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
293	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
294	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	complemented
295	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	complemented
296	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	complemented
297	#13063284	C₂³	1	2	yes	—
298	#13063284	C₂³	1	4	yes	complemented
299	#13063284	C₂³	1	8	yes	complemented
300	#13063282	C₂³	1	8	yes	complemented
301	#13063281	C₂³	1	8	yes	—
302	#13063281	C₂³	1	8	yes	—
303	#13063281	C₂³	1	8	yes	complemented
304	#13063281	C₂³	1	8	yes	complemented
305	#13063281	C₂³	1	8	yes	complemented
306	#13063281	C₂³	1	4	yes	complemented
307	C₂×C₄⋊Dic₄₃	C₂³	1	4	yes	complemented
308	C₂×Dic₄₃⋊C₄	C₂³	1	4	yes	—
309	C₂×Dic₄₃⋊C₄	C₂³	1	4	yes	—
310	C₂×Dic₄₃⋊C₄	C₂³	1	8	yes	—
311	C₂×Dic₄₃⋊C₄	C₂³	1	4	yes	—
312	C₂×Dic₄₃⋊C₄	C₂³	1	4	yes	—
313	C₂×Dic₄₃⋊C₄	C₂³	1	4	yes	complemented
314	C₂×Dic₄₃⋊C₄	C₂³	1	8	yes	complemented
315	C₂×Dic₄₃⋊C₄	C₂³	1	4	yes	complemented
316	C₄⋊C₄×D₄₃	C₂³	1	8	yes	complemented
317	C₂×C₂²⋊Dic₄₃	C₂³	1	4	yes	—
318	C₂×C₂²⋊Dic₄₃	C₂³	1	8	yes	—
319	C₂×C₂²⋊Dic₄₃	C₂³	1	8	yes	—
320	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
321	C₂×C₂²⋊Dic₄₃	C₂³	1	4	yes	—
322	C₂×C₂²⋊Dic₄₃	C₂³	1	4	yes	—
323	C₂×C₂²⋊Dic₄₃	C₂³	1	4	yes	—
324	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
325	C₂×C₂²⋊Dic₄₃	C₂³	1	4	yes	—
326	C₂×C₂²⋊Dic₄₃	C₂³	1	4	yes	—
327	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
328	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
329	C₂×C₂²⋊Dic₄₃	C₂³	1	4	yes	complemented
330	C₂×C₂²⋊Dic₄₃	C₂³	1	4	yes	complemented
331	C₂×C₂²⋊Dic₄₃	C₂³	1	8	yes	complemented
332	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	complemented
333	C₂²⋊C₄×D₄₃	C₂³	1	4	yes	complemented
334	C₂²⋊C₄×D₄₃	C₂³	1	8	yes	complemented
335	C₂×C₄×Dic₄₃	C₂³	1	4	yes	complemented
336	C₂⁵×C₄₃	C₂³	1	1	yes	characteristic
337	C₂⁵×C₄₃	C₂³	1	1	yes	characteristic
338	H(5,𝔽₂)×C₄₃	—	4	4	no	—
339	C₂×#41×C₄₃	C₂³	1	2	yes	—
340	C₂×#41×C₄₃	C₂³	1	4	yes	—
341	C₂²×D₄×C₄₃	—	4	4	no	—
342	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
343	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
344	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
345	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
346	C₂²×D₄×C₄₃	C₂³	1	4	yes	—
347	C₂²×D₄×C₄₃	C₂³	1	4	yes	—
348	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
349	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
350	C₂²×D₄×C₄₃	C₂³	1	4	yes	—
351	C₂²×D₄×C₄₃	C₂³	1	8	yes	—
352	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
353	#127×C₄₃	C₂³	1	4	yes	—
354	#124×C₄₃	C₂³	1	4	yes	—
355	#123×C₄₃	C₂³	1	4	yes	—
356	#123×C₄₃	C₂³	1	4	yes	—
357	#123×C₄₃	C₂³	1	4	yes	—
358	C₂²⋊Q₈×C₄₃	C₂³	1	4	yes	—
359	#121×C₄₃	C₂³	1	4	yes	—
360	#121×C₄₃	C₂³	1	8	yes	—
361	#121×C₄₃	C₂³	1	8	yes	—
362	#121×C₄₃	C₂³	1	8	yes	—
363	#120×C₄₃	C₂³	1	4	yes	—
364	#120×C₄₃	C₂³	1	4	yes	—
365	#120×C₄₃	C₂³	1	8	yes	—
366	#120×C₄₃	C₂³	1	8	yes	—
367	#120×C₄₃	C₂³	1	4	yes	—
368	#120×C₄₃	C₂³	1	4	yes	—
369	#120×C₄₃	C₂³	1	4	yes	—
370	C₄×D₄×C₄₃	C₂³	1	8	yes	—
371	C₄×D₄×C₄₃	C₂³	1	8	yes	—
372	#117×C₄₃	C₂³	1	2	yes	—
373	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
374	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
375	C₂×C₂²⋊C₄×C₄₃	C₂³	1	4	yes	—
376	C₂×C₂²⋊C₄×C₄₃	C₂³	1	4	yes	—
377	C₂⁴×C₄₃	—	2	4	no	—
378	C₂⁴×C₄₃	—	4	4	no	—
379	C₂⁴×C₄₃	—	4	2	no	—
380	C₂⁴×C₄₃	—	4	4	no	—
381	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
382	C₂⁴×C₄₃	C₂⁴	1	4	yes	—
383	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
384	C₂⁴×C₄₃	C₂⁴	1	4	yes	—
385	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
386	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
387	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
388	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
389	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
390	C₂³×D₄₃	C₂⁴	1	2	yes	—
391	C₂³×D₄₃	C₂⁴	1	2	yes	—
392	#41×C₄₃	—	4	8	no	—
393	#41×C₄₃	—	4	4	no	—
394	C₂×Q₈×C₄₃	C₂⁴	1	2	yes	—
395	C₂×D₄×C₄₃	—	2	4	no	—
396	C₂×D₄×C₄₃	—	2	4	no	—
397	C₂×D₄×C₄₃	—	2	8	no	—
398	C₂×D₄×C₄₃	—	4	2	no	—
399	C₂×D₄×C₄₃	—	4	2	no	—
400	C₂×D₄×C₄₃	—	4	16	no	—
401	C₂×D₄×C₄₃	—	4	8	no	—
402	C₂×D₄×C₄₃	—	4	8	no	—
403	C₂×D₄×C₄₃	—	4	8	no	—
404	C₂×D₄×C₄₃	—	4	4	no	—
405	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
406	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
407	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
408	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
409	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
410	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
411	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
412	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
413	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
414	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
415	C₂×D₄×C₄₃	C₂⁴	1	2	yes	—
416	C₂²×C₄×C₄₃	—	4	2	no	—
417	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
418	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
419	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
420	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
421	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
422	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
423	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
424	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
425	C₂×C₂²⋊D₄₃	—	2	8	no	—
426	C₂×C₂²⋊D₄₃	—	4	4	no	—
427	C₂×C₂²⋊D₄₃	—	4	8	no	—
428	C₂×C₂²⋊D₄₃	—	4	8	no	—
429	C₂×C₂²⋊D₄₃	—	4	4	no	—
430	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
431	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
432	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
433	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
434	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
435	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
436	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
437	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
438	C₂²×Dic₄₃	—	2	8	no	—
439	C₂²×Dic₄₃	—	4	4	no	—
440	C₂²×Dic₄₃	—	4	8	no	—
441	C₂²×Dic₄₃	—	4	8	no	—
442	C₂²×Dic₄₃	—	4	4	no	—
443	C₂²×Dic₄₃	—	4	4	no	—
444	C₂²×Dic₄₃	—	4	4	no	—
445	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
446	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
447	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
448	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
449	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
450	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
451	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
452	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
453	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
454	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
455	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
456	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
457	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
458	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
459	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
460	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
461	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
462	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
463	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
464	#10621900	—	4	16	no	—
465	#10621900	—	4	16	no	—
466	#10621900	—	4	16	no	—
467	#10621900	—	4	8	no	—
468	D₄×D₄₃	—	4	8	no	—
469	#10621898	—	4	4	no	—
470	C₂×D₁₇₂	C₂⁴	1	2	yes	—
471	C₂×C₄×D₄₃	—	4	4	no	—
472	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
473	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
474	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
475	C₂×Dic₈₆	—	4	4	no	—
476	C₂×Dic₈₆	C₂⁴	1	8	yes	—
477	C₂×Dic₈₆	C₂⁴	1	8	yes	—
478	C₂×Dic₈₆	C₂⁴	1	2	yes	—
479	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
480	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
481	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
482	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
483	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
484	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
485	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
486	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
487	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
488	C₄²×C₄₃	C₂⁴	1	4	yes	—
489	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
490	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
491	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
492	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
493	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
494	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
495	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
496	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
497	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
498	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
499	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
500	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
501	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
502	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
503	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
504	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
505	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
506	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
507	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
508	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
509	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
510	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
511	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
512	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
513	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
514	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
515	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
516	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
517	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
518	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
519	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
520	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
521	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
522	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
523	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
524	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
525	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
526	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
527	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
528	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
529	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
530	C₄×Dic₄₃	C₂⁴	1	8	yes	—
531	C₄×Dic₄₃	C₂⁴	1	8	yes	—
532	C₄×Dic₄₃	C₂⁴	1	8	yes	—
533	C₄×Dic₄₃	C₂⁴	1	8	yes	—
534	C₄×Dic₄₃	C₂⁴	1	4	yes	—
535	C₂³×C₄₃	—	2	2	no	—
536	C₂³×C₄₃	—	2	4	no	—
537	C₂³×C₄₃	—	2	8	no	—
538	C₂³×C₄₃	—	2	2	no	—
539	C₂³×C₄₃	—	2	8	no	—
540	C₂³×C₄₃	—	2	4	no	—
541	C₂³×C₄₃	—	2	2	no	—
542	C₂³×C₄₃	—	2	2	no	—
543	C₂³×C₄₃	—	2	8	no	—
544	C₂³×C₄₃	—	4	2	no	—
545	C₂³×C₄₃	—	4	4	no	—
546	C₂³×C₄₃	—	4	2	no	—
547	C₂³×C₄₃	—	4	4	no	—
548	C₂³×C₄₃	—	4	4	no	—
549	C₂³×C₄₃	—	4	2	no	—
550	C₂³×C₄₃	—	4	4	no	—
551	C₂³×C₄₃	—	4	2	no	—
552	C₂³×C₄₃	—	4	2	no	—
553	C₂³×C₄₃	—	4	4	no	—
554	C₂³×C₄₃	—	4	16	no	—
555	C₂³×C₄₃	—	8	8	no	—
556	C₂³×C₄₃	H(5,𝔽₂)	1	4	yes	—
557	C₂³×C₄₃	C₂⁵	1	2	yes	—
558	C₂³×C₄₃	C₂⁵	1	2	yes	—
559	C₂³×C₄₃	C₂⁵	1	2	yes	—
560	C₂³×C₄₃	C₂⁵	1	4	yes	—
561	C₂³×C₄₃	C₂⁵	1	2	yes	—
562	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
563	C₂³×C₄₃	C₂⁵	1	2	yes	—
564	C₂²×D₄₃	—	2	4	no	—
565	C₂²×D₄₃	—	4	4	no	—
566	C₂²×D₄₃	—	4	2	no	—
567	C₂²×D₄₃	—	4	4	no	—
568	C₂²×D₄₃	C₂⁵	1	4	yes	—
569	Q₈×C₄₃	—	4	2	no	—
570	D₄×C₄₃	—	2	8	no	—
571	D₄×C₄₃	—	2	8	no	—
572	D₄×C₄₃	—	2	8	no	—
573	D₄×C₄₃	—	2	8	no	—
574	D₄×C₄₃	—	2	16	no	—
575	D₄×C₄₃	—	4	4	no	—
576	D₄×C₄₃	—	4	4	no	—
577	D₄×C₄₃	—	4	4	no	—
578	D₄×C₄₃	—	4	2	no	—
579	D₄×C₄₃	—	4	8	no	—
580	D₄×C₄₃	—	4	8	no	—
581	C₂×C₄×C₄₃	—	2	4	no	—
582	C₂×C₄×C₄₃	—	2	2	no	—
583	C₂×C₄×C₄₃	—	2	2	no	—
584	C₂×C₄×C₄₃	—	4	4	no	—
585	C₂×C₄×C₄₃	—	4	4	no	—
586	C₂×C₄×C₄₃	—	4	4	no	—
587	C₂×C₄×C₄₃	—	4	2	no	—
588	C₂×C₄×C₄₃	—	4	4	no	—
589	C₂×C₄×C₄₃	C₂⁵	1	8	yes	—
590	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
591	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
592	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
593	C₂²⋊D₄₃	—	2	8	no	—
594	C₂²⋊D₄₃	—	2	8	no	—
595	C₂²⋊D₄₃	—	2	16	no	—
596	C₂²⋊D₄₃	—	4	4	no	—
597	C₂²⋊D₄₃	—	4	8	no	—
598	C₂²⋊D₄₃	—	4	8	no	—
599	C₂²⋊D₄₃	—	4	8	no	—
600	C₂²⋊D₄₃	—	4	8	no	—
601	C₂×Dic₄₃	—	2	4	no	—
602	C₂×Dic₄₃	—	2	4	no	—
603	C₂×Dic₄₃	—	2	4	no	—
604	C₂×Dic₄₃	—	2	8	no	—
605	C₂×Dic₄₃	—	2	8	no	—
606	C₂×Dic₄₃	—	2	8	no	—
607	C₂×Dic₄₃	—	4	8	no	—
608	C₂×Dic₄₃	—	4	2	no	—
609	C₂×Dic₄₃	—	4	8	no	—
610	C₂×Dic₄₃	—	4	2	no	—
611	C₂×Dic₄₃	—	4	2	no	—
612	C₂×Dic₄₃	—	4	4	no	—
613	C₂×Dic₄₃	—	4	4	no	—
614	C₂×Dic₄₃	—	4	2	no	—
615	C₂×Dic₄₃	—	4	2	no	—
616	C₂×Dic₄₃	—	4	4	no	—
617	C₂×Dic₄₃	—	4	4	no	—
618	C₂×Dic₄₃	—	4	4	no	—
619	C₂×Dic₄₃	—	4	4	no	—
620	C₂×Dic₄₃	C₂⁵	1	8	yes	—
621	C₂×Dic₄₃	C₂⁵	1	4	yes	—
622	C₂×Dic₄₃	C₂⁵	1	8	yes	—
623	C₂×Dic₄₃	C₂⁵	1	4	yes	—
624	C₂×Dic₄₃	C₂⁵	1	4	yes	—
625	D₁₇₂	—	4	2	no	—
626	C₄×D₄₃	—	4	8	no	—
627	C₄×D₄₃	—	4	4	no	—
628	C₄×D₄₃	—	4	8	no	—
629	Dic₈₆	—	4	8	no	—
630	Dic₈₆	—	4	2	no	—
631	Dic₈₆	—	4	8	no	—
632	#62820	—	43	1	no	maximal, Sylow
633	C₂²×C₄₃	—	2	8	no	—
634	C₂²×C₄₃	—	2	2	no	—
635	C₂²×C₄₃	—	2	4	no	—
636	C₂²×C₄₃	—	2	2	no	—
637	C₂²×C₄₃	—	2	2	no	—
638	C₂²×C₄₃	—	2	2	no	—
639	C₂²×C₄₃	—	2	2	no	—
640	C₂²×C₄₃	—	2	2	no	—
641	C₂²×C₄₃	—	2	4	no	—
642	C₂²×C₄₃	—	2	4	no	—
643	C₂²×C₄₃	—	2	4	no	—
644	C₂²×C₄₃	—	2	4	no	—
645	C₂²×C₄₃	—	2	8	no	—
646	C₂²×C₄₃	—	4	4	no	—
647	C₂²×C₄₃	—	4	16	no	—
648	C₂²×C₄₃	—	4	4	no	—
649	C₂²×C₄₃	—	8	4	no	—
650	C₂²×C₄₃	—	8	2	no	—
651	C₂²×C₄₃	—	8	2	no	—
652	C₂²×C₄₃	—	8	8	no	—
653	C₂²×C₄₃	—	16	2	no	—
654	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	4	yes	—
655	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
656	C₂²×C₄₃	#585	1	4	yes	—
657	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
658	C₂×D₄₃	—	2	4	no	—
659	C₂×D₄₃	—	2	8	no	—
660	C₂×D₄₃	—	8	4	no	—
661	C₂×D₄₃	—	16	2	no	—
662	C₄×C₄₃	—	2	4	no	—
663	C₄×C₄₃	—	2	2	no	—
664	C₄×C₄₃	—	2	2	no	—
665	C₄×C₄₃	—	2	8	no	—
666	Dic₄₃	—	2	4	no	—
667	Dic₄₃	—	2	4	no	—
668	Dic₄₃	—	2	4	no	—
669	Dic₄₃	—	2	8	no	—
670	Dic₄₃	—	2	8	no	—
671	#3535	—	43	8	no	—
672	#3534	—	43	8	no	—
673	#3533	—	43	4	no	—
674	#3533	—	43	4	no	—
675	#3513	—	43	8	no	—
676	#3513	—	43	8	no	—
677	#3492	—	43	4	no	—
678	#3491	—	43	2	no	—
679	#3491	—	43	2	no	—
680	#3490	—	43	2	no	—
681	#3490	—	43	4	no	—
682	#3485	—	43	2	no	—
683	#3485	—	43	2	no	—
684	#3484	—	43	1	no	—
685	#3484	D₄₃	1	1	yes	characteristic, complemented
686	C₂×#525	—	43	2	no	—
687	C₂²×#123	—	43	1	no	—
688	C₂×C₄₃	—	2	4	no	—
689	C₂×C₄₃	—	2	2	no	—
690	C₂×C₄₃	—	2	4	no	—
691	C₂×C₄₃	—	4	2	no	—
692	C₂×C₄₃	—	4	2	no	—
693	C₂×C₄₃	—	4	2	no	—
694	C₂×C₄₃	—	4	4	no	—
695	C₂×C₄₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
696	C₂×C₄₃	C₂×#585	1	2	yes	—
697	D₄₃	—	4	4	no	—
698	C₂×H(5,𝔽₂)	—	43	1	no	—
699	C₂×H(5,𝔽₂)	C₂×D₄₃	1	1	yes	characteristic, complemented
700	C₂²×#41	—	43	2	no	—
701	C₂³×D₄	C₂×D₄₃	1	1	yes	characteristic
702	C₂⁴×C₄	—	43	1	no	—
703	#563	—	43	4	no	—
704	#563	—	43	4	no	—
705	#562	—	43	8	no	—
706	#562	—	43	8	no	—
707	#560	—	43	4	no	—
708	#560	—	43	4	no	—
709	#559	—	43	4	no	—
710	#559	—	43	4	no	—
711	#554	—	43	8	no	—
712	#554	—	43	8	no	—
713	#553	—	43	8	no	—
714	#553	—	43	8	no	—
715	#553	—	43	8	no	—
716	#553	—	43	8	no	—
717	#552	—	43	8	no	—
718	#552	—	43	8	no	—
719	#552	—	43	8	no	—
720	#552	—	43	8	no	—
721	#551	—	43	4	no	—
722	#551	—	43	8	no	—
723	#551	—	43	8	no	—
724	#551	—	43	8	no	—
725	#551	—	43	8	no	—
726	#551	—	43	4	no	—
727	#551	—	43	8	no	—
728	#551	—	43	8	no	—
729	#551	—	43	8	no	—
730	#551	—	43	8	no	—
731	#547	—	43	8	no	—
732	#547	—	43	8	no	—
733	#547	—	43	8	no	—
734	#547	—	43	8	no	—
735	#546	—	43	8	no	—
736	#546	—	43	8	no	—
737	#546	—	43	8	no	—
738	#546	—	43	8	no	—
739	#546	—	43	8	no	—
740	#546	—	43	8	no	—
741	#546	—	43	8	no	—
742	#546	—	43	8	no	—
743	#546	—	43	8	no	—
744	#546	C₂×D₄₃	1	8	yes	complemented
745	D₄²	—	43	8	no	—
746	D₄²	C₂×D₄₃	1	8	yes	complemented
747	#544	—	43	4	no	—
748	#543	—	43	2	no	—
749	#543	—	43	4	no	—
750	#542	—	43	8	no	—
751	#542	—	43	8	no	—
752	#540	—	43	8	no	—
753	#540	—	43	8	no	—
754	#539	—	43	8	no	—
755	#539	—	43	4	no	—
756	#539	—	43	8	no	—
757	#539	—	43	4	no	—
758	#539	—	43	8	no	—
759	#539	—	43	8	no	—
760	#539	—	43	8	no	—
761	#538	—	43	8	no	—
762	#538	—	43	8	no	—
763	#538	—	43	8	no	—
764	#538	—	43	8	no	—
765	#538	—	43	8	no	—
766	#537	—	43	4	no	—
767	#536	—	43	4	no	—
768	#536	—	43	4	no	—
769	#535	—	43	2	no	—
770	#535	C₂×D₄₃	1	2	yes	complemented
771	#534	—	43	2	no	—
772	#534	—	43	2	no	—
773	#534	—	43	2	no	—
774	#534	—	43	4	no	—
775	#534	—	43	4	no	—
776	#534	—	43	4	no	—
777	#534	C₂×D₄₃	1	2	yes	—
778	#534	C₂×D₄₃	1	2	yes	complemented
779	#529	—	43	8	no	—
780	#529	—	43	8	no	—
781	#525	—	43	4	no	—
782	#525	—	43	2	no	—
783	#525	—	43	8	no	—
784	#525	—	43	8	no	—
785	#525	—	43	8	no	—
786	#525	—	43	8	no	—
787	#525	—	43	4	no	—
788	#525	—	43	8	no	—
789	#525	C₂×D₄₃	1	2	yes	complemented
790	C₂×#123	—	43	2	no	—
791	C₂×#123	—	43	2	no	—
792	C₂×#123	—	43	8	no	—
793	C₂×#123	—	43	2	no	—
794	C₂×#123	—	43	2	no	—
795	C₂×#123	—	43	8	no	—
796	C₂×#123	—	43	2	no	—
797	C₂×#123	—	43	4	no	—
798	C₂×#123	—	43	4	no	—
799	C₂×#123	—	43	2	no	—
800	C₂×C₂²⋊Q₈	—	43	4	no	—
801	C₂×#121	—	43	4	no	—
802	C₂×#120	—	43	2	no	—
803	C₂×#120	—	43	2	no	—
804	C₂×#120	C₂×D₄₃	1	2	yes	complemented
805	C₂×#120	C₂×D₄₃	1	2	yes	complemented
806	#520	—	43	8	no	—
807	#518	—	43	1	no	—
808	#518	—	43	2	no	—
809	#518	—	43	4	no	—
810	#518	—	43	2	no	—
811	#518	—	43	4	no	—
812	#518	C₂×D₄₃	1	1	yes	characteristic, complemented
813	C₂×C₄×D₄	—	43	4	no	—
814	C₂×C₄×D₄	—	43	4	no	—
815	C₂×#117	—	43	2	no	—
816	C₂²×C₄⋊C₄	—	43	2	no	—
817	C₂²×C₂²⋊C₄	—	43	1	no	—
818	C₂²×C₂²⋊C₄	—	43	2	no	—
819	C₄₃	#62820	1	1	yes	characteristic, complemented, Sylow
820	C₂⁵	C₂²×D₄₃	1	1	yes	characteristic
821	C₂⁵	C₂²×D₄₃	1	1	yes	characteristic
822	H(5,𝔽₂)	—	4	4	no	—
823	H(5,𝔽₂)	—	172	4	no	—
824	C₂×#41	—	43	8	no	—
825	C₂×#41	—	43	8	no	—
826	C₂×#41	—	43	8	no	—
827	C₂×#41	—	43	4	no	—
828	C₂×#41	—	43	2	no	—
829	C₂×#41	—	172	8	no	—
830	C₂×#41	C₂²×D₄₃	1	4	yes	—
831	C₂×#41	C₂²×D₄₃	1	2	yes	—
832	C₂²×Q₈	—	43	2	no	—
833	C₂²×D₄	—	4	4	no	—
834	C₂²×D₄	—	43	2	no	—
835	C₂²×D₄	—	43	4	no	—
836	C₂²×D₄	—	43	4	no	—
837	C₂²×D₄	—	43	2	no	—
838	C₂²×D₄	—	43	2	no	—
839	C₂²×D₄	—	43	4	no	—
840	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
841	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
842	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
843	C₂²×D₄	C₂²×D₄₃	1	4	yes	—
844	C₂²×D₄	C₂²×D₄₃	1	4	yes	—
845	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
846	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
847	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
848	C₂²×D₄	C₂²×D₄₃	1	8	yes	—
849	C₂²×D₄	C₂²×D₄₃	1	4	yes	—
850	C₂³×C₄	—	43	2	no	—
851	C₂³×C₄	—	43	2	no	—
852	C₂³×C₄	—	43	2	no	—
853	C₂³×C₄	—	43	4	no	—
854	C₂³×C₄	—	43	2	no	—
855	C₂³×C₄	—	43	4	no	—
856	C₂³×C₄	—	43	2	no	—
857	C₂³×C₄	—	43	2	no	—
858	C₂³×C₄	—	172	4	no	—
859	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
860	C₄⋊Q₈	—	43	8	no	—
861	C₄⋊Q₈	—	43	8	no	—
862	#127	—	43	4	no	—
863	#127	C₂²×D₄₃	1	4	yes	—
864	#126	—	43	8	no	—
865	#126	—	43	8	no	—
866	#126	—	43	8	no	—
867	#126	—	43	8	no	—
868	#126	—	43	8	no	—
869	#126	—	43	8	no	—
870	#126	—	43	8	no	—
871	#126	—	43	8	no	—
872	#126	—	43	8	no	—
873	#126	—	43	8	no	—
874	#125	—	43	8	no	—
875	#125	—	43	8	no	—
876	#125	—	43	8	no	—
877	#125	—	43	8	no	—
878	#125	—	43	8	no	—
879	#125	—	43	8	no	—
880	#124	—	43	8	no	—
881	#124	—	43	4	no	—
882	#124	—	43	8	no	—
883	#124	—	43	8	no	—
884	#124	—	43	8	no	—
885	#124	—	43	8	no	—
886	#124	—	43	8	no	—
887	#124	C₂²×D₄₃	1	4	yes	—
888	#123	—	43	4	no	—
889	#123	—	43	4	no	—
890	#123	—	43	4	no	—
891	#123	—	43	4	no	—
892	#123	—	43	8	no	—
893	#123	—	43	8	no	—
894	#123	—	43	8	no	—
895	#123	—	43	8	no	—
896	#123	—	43	4	no	—
897	#123	—	43	4	no	—
898	#123	—	43	4	no	—
899	#123	—	43	4	no	—
900	#123	—	43	4	no	—
901	#123	—	43	4	no	—
902	#123	—	43	8	no	—
903	#123	—	43	4	no	—
904	#123	—	43	4	no	—
905	#123	—	43	8	no	—
906	#123	—	43	8	no	—
907	#123	—	43	8	no	—
908	#123	—	43	4	no	—
909	#123	—	43	8	no	—
910	#123	—	43	8	no	—
911	#123	—	43	8	no	—
912	#123	—	43	4	no	—
913	#123	—	43	4	no	—
914	#123	—	43	8	no	—
915	#123	—	43	8	no	—
916	#123	—	43	8	no	—
917	#123	—	43	4	no	—
918	#123	—	43	4	no	—
919	#123	—	43	8	no	—
920	#123	—	43	8	no	—
921	#123	—	43	8	no	—
922	#123	—	43	8	no	—
923	#123	—	43	8	no	—
924	#123	—	43	8	no	—
925	#123	C₂²×D₄₃	1	4	yes	—
926	#123	C₂²×D₄₃	1	4	yes	—
927	#123	C₂²×D₄₃	1	4	yes	—
928	C₂²⋊Q₈	—	43	8	no	—
929	C₂²⋊Q₈	—	43	4	no	—
930	C₂²⋊Q₈	—	43	8	no	—
931	C₂²⋊Q₈	—	43	8	no	—
932	C₂²⋊Q₈	—	43	8	no	—
933	C₂²⋊Q₈	—	43	8	no	—
934	C₂²⋊Q₈	—	43	8	no	—
935	C₂²⋊Q₈	—	43	8	no	—
936	C₂²⋊Q₈	—	43	8	no	—
937	C₂²⋊Q₈	—	43	8	no	—
938	C₂²⋊Q₈	—	43	8	no	—
939	C₂²⋊Q₈	—	43	8	no	—
940	C₂²⋊Q₈	—	43	8	no	—
941	C₂²⋊Q₈	—	43	8	no	—
942	C₂²⋊Q₈	—	43	8	no	—
943	C₂²⋊Q₈	—	43	8	no	—
944	C₂²⋊Q₈	—	43	8	no	—
945	C₂²⋊Q₈	—	43	8	no	—
946	C₂²⋊Q₈	—	43	8	no	—
947	C₂²⋊Q₈	C₂²×D₄₃	1	4	yes	—
948	#121	—	43	8	no	—
949	#121	—	43	8	no	—
950	#121	—	43	8	no	—
951	#121	—	43	8	no	—
952	#121	—	43	8	no	—
953	#121	—	43	8	no	—
954	#121	—	43	8	no	—
955	#121	—	43	8	no	—
956	#121	—	43	8	no	—
957	#121	—	43	8	no	—
958	#121	—	43	8	no	—
959	#121	—	43	8	no	—
960	#121	—	43	8	no	—
961	#121	—	43	8	no	—
962	#121	—	43	8	no	—
963	#121	—	43	8	no	—
964	#121	—	43	4	no	—
965	#121	—	43	8	no	—
966	#121	C₂²×D₄₃	1	4	yes	—
967	#121	C₂²×D₄₃	1	8	yes	—
968	#121	C₂²×D₄₃	1	8	yes	—
969	#121	C₂²×D₄₃	1	8	yes	—
970	#120	—	43	4	no	—
971	#120	—	43	4	no	—
972	#120	—	43	8	no	—
973	#120	—	43	4	no	—
974	#120	—	43	8	no	—
975	#120	—	43	4	no	—
976	#120	—	43	8	no	—
977	#120	—	43	4	no	—
978	#120	—	43	4	no	—
979	#120	—	43	8	no	—
980	#120	—	43	4	no	—
981	#120	C₂²×D₄₃	1	4	yes	—
982	#120	C₂²×D₄₃	1	4	yes	—
983	#120	C₂²×D₄₃	1	8	yes	—
984	#120	C₂²×D₄₃	1	4	yes	—
985	#120	C₂²×D₄₃	1	8	yes	—
986	#120	C₂²×D₄₃	1	4	yes	—
987	#120	C₂²×D₄₃	1	4	yes	—
988	C₄×Q₈	—	43	8	no	—
989	C₄×Q₈	—	43	8	no	—
990	C₄×D₄	—	43	8	no	—
991	C₄×D₄	—	43	8	no	—
992	C₄×D₄	—	43	8	no	—
993	C₄×D₄	—	43	8	no	—
994	C₄×D₄	—	43	8	no	—
995	C₄×D₄	—	43	8	no	—
996	C₄×D₄	—	43	8	no	—
997	C₄×D₄	—	43	8	no	—
998	C₄×D₄	—	43	8	no	—
999	C₄×D₄	—	43	8	no	—
1000	C₄×D₄	—	43	8	no	—
1001	C₄×D₄	—	43	8	no	—
1002	C₄×D₄	—	43	8	no	—
1003	C₄×D₄	—	43	8	no	—
1004	C₄×D₄	—	43	8	no	—
1005	C₄×D₄	—	43	8	no	—
1006	C₄×D₄	—	43	8	no	—
1007	C₄×D₄	—	43	8	no	—
1008	C₄×D₄	—	43	8	no	—
1009	C₄×D₄	—	43	8	no	—
1010	C₄×D₄	—	43	8	no	—
1011	C₄×D₄	—	43	8	no	—
1012	C₄×D₄	C₂²×D₄₃	1	8	yes	—
1013	C₄×D₄	C₂²×D₄₃	1	8	yes	—
1014	#117	—	43	2	no	—
1015	#117	—	43	4	no	—
1016	#117	—	43	8	no	—
1017	#117	—	43	8	no	—
1018	#117	—	43	8	no	—
1019	#117	—	43	4	no	—
1020	#117	—	43	8	no	—
1021	#117	—	43	8	no	—
1022	#117	—	43	8	no	—
1023	#117	—	43	8	no	—
1024	#117	C₂²×D₄₃	1	2	yes	—
1025	C₂×C₄⋊C₄	—	43	4	no	—
1026	C₂×C₄⋊C₄	—	43	4	no	—
1027	C₂×C₄⋊C₄	—	43	4	no	—
1028	C₂×C₄⋊C₄	—	43	4	no	—
1029	C₂×C₄⋊C₄	—	43	8	no	—
1030	C₂×C₄⋊C₄	—	43	4	no	—
1031	C₂×C₄⋊C₄	—	43	4	no	—
1032	C₂×C₄⋊C₄	—	43	4	no	—
1033	C₂×C₄⋊C₄	—	43	8	no	—
1034	C₂×C₄⋊C₄	—	43	8	no	—
1035	C₂×C₂²⋊C₄	—	43	2	no	—
1036	C₂×C₂²⋊C₄	—	43	4	no	—
1037	C₂×C₂²⋊C₄	—	43	4	no	—
1038	C₂×C₂²⋊C₄	—	43	2	no	—
1039	C₂×C₂²⋊C₄	—	43	8	no	—
1040	C₂×C₂²⋊C₄	—	43	8	no	—
1041	C₂×C₂²⋊C₄	—	43	4	no	—
1042	C₂×C₂²⋊C₄	—	43	4	no	—
1043	C₂×C₂²⋊C₄	—	43	2	no	—
1044	C₂×C₂²⋊C₄	—	43	4	no	—
1045	C₂×C₂²⋊C₄	—	43	4	no	—
1046	C₂×C₂²⋊C₄	—	43	2	no	—
1047	C₂×C₂²⋊C₄	—	43	4	no	—
1048	C₂×C₂²⋊C₄	—	43	4	no	—
1049	C₂×C₂²⋊C₄	—	43	8	no	—
1050	C₂×C₂²⋊C₄	—	43	4	no	—
1051	C₂×C₂²⋊C₄	—	43	4	no	—
1052	C₂×C₂²⋊C₄	—	43	8	no	—
1053	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1054	C₂×C₂²⋊C₄	C₂²×D₄₃	1	4	yes	—
1055	C₂×C₂²⋊C₄	C₂²×D₄₃	1	4	yes	—
1056	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1057	C₂×C₄²	—	43	4	no	—
1058	C₂⁴	—	2	4	no	—
1059	C₂⁴	—	4	4	no	—
1060	C₂⁴	—	4	2	no	—
1061	C₂⁴	—	4	4	no	—
1062	C₂⁴	—	43	2	no	—
1063	C₂⁴	—	43	2	no	—
1064	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1065	C₂⁴	C₂³×D₄₃	1	4	yes	—
1066	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1067	C₂⁴	C₂³×D₄₃	1	4	yes	—
1068	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1069	C₂⁴	C₂³×D₄₃	1	2	yes	—
1070	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1071	C₂⁴	C₂³×D₄₃	1	2	yes	—
1072	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1073	#41	—	4	4	no	—
1074	#41	—	4	8	no	—
1075	#41	—	172	4	no	—
1076	#41	—	172	16	no	—
1077	#41	—	172	16	no	—
1078	#41	—	172	8	no	—
1079	#41	—	172	16	no	—
1080	C₂×Q₈	—	43	8	no	—
1081	C₂×Q₈	—	43	8	no	—
1082	C₂×Q₈	—	43	2	no	—
1083	C₂×Q₈	—	172	4	no	—
1084	C₂×Q₈	C₂³×D₄₃	1	2	yes	—
1085	C₂×D₄	—	2	4	no	—
1086	C₂×D₄	—	2	4	no	—
1087	C₂×D₄	—	2	8	no	—
1088	C₂×D₄	—	4	2	no	—
1089	C₂×D₄	—	4	2	no	—
1090	C₂×D₄	—	4	16	no	—
1091	C₂×D₄	—	4	8	no	—
1092	C₂×D₄	—	4	4	no	—
1093	C₂×D₄	—	4	8	no	—
1094	C₂×D₄	—	4	8	no	—
1095	C₂×D₄	—	43	8	no	—
1096	C₂×D₄	—	43	4	no	—
1097	C₂×D₄	—	43	4	no	—
1098	C₂×D₄	—	43	8	no	—
1099	C₂×D₄	—	43	8	no	—
1100	C₂×D₄	—	43	8	no	—
1101	C₂×D₄	—	43	8	no	—
1102	C₂×D₄	—	43	4	no	—
1103	C₂×D₄	—	43	2	no	—
1104	C₂×D₄	—	86	8	no	—
1105	C₂×D₄	—	172	4	no	—
1106	C₂×D₄	—	172	8	no	—
1107	C₂×D₄	—	172	4	no	—
1108	C₂×D₄	—	172	8	no	—
1109	C₂×D₄	—	172	8	no	—
1110	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1111	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1112	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1113	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1114	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1115	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1116	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1117	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1118	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1119	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1120	C₂×D₄	C₂³×D₄₃	1	2	yes	—
1121	C₂²×C₄	—	4	2	no	—
1122	C₂²×C₄	—	43	2	no	—
1123	C₂²×C₄	—	43	4	no	—
1124	C₂²×C₄	—	43	4	no	—
1125	C₂²×C₄	—	43	4	no	—
1126	C₂²×C₄	—	43	2	no	—
1127	C₂²×C₄	—	43	2	no	—
1128	C₂²×C₄	—	43	4	no	—
1129	C₂²×C₄	—	43	4	no	—
1130	C₂²×C₄	—	43	4	no	—
1131	C₂²×C₄	—	43	2	no	—
1132	C₂²×C₄	—	43	4	no	—
1133	C₂²×C₄	—	43	2	no	—
1134	C₂²×C₄	—	43	8	no	—
1135	C₂²×C₄	—	43	4	no	—
1136	C₂²×C₄	—	43	2	no	—
1137	C₂²×C₄	—	43	8	no	—
1138	C₂²×C₄	—	43	2	no	—
1139	C₂²×C₄	—	43	4	no	—
1140	C₂²×C₄	—	43	2	no	—
1141	C₂²×C₄	—	43	8	no	—
1142	C₂²×C₄	—	43	8	no	—
1143	C₂²×C₄	—	43	4	no	—
1144	C₂²×C₄	—	86	8	no	—
1145	C₂²×C₄	—	172	4	no	—
1146	C₂²×C₄	—	172	8	no	—
1147	C₂²×C₄	—	172	8	no	—
1148	C₂²×C₄	—	172	4	no	—
1149	C₂²×C₄	—	172	4	no	—
1150	C₂²×C₄	—	172	4	no	—
1151	C₂²×C₄	—	172	4	no	—
1152	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1153	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1154	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1155	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1156	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1157	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1158	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1159	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1160	C₄⋊C₄	—	43	8	no	—
1161	C₄⋊C₄	—	43	8	no	—
1162	C₄⋊C₄	—	43	8	no	—
1163	C₄⋊C₄	—	43	8	no	—
1164	C₄⋊C₄	—	43	8	no	—
1165	C₄⋊C₄	—	43	8	no	—
1166	C₄⋊C₄	—	43	8	no	—
1167	C₄⋊C₄	—	43	8	no	—
1168	C₄⋊C₄	—	43	8	no	—
1169	C₄⋊C₄	—	43	8	no	—
1170	C₄⋊C₄	—	43	8	no	—
1171	C₄⋊C₄	—	43	8	no	—
1172	C₄⋊C₄	—	43	8	no	—
1173	C₄⋊C₄	—	43	4	no	—
1174	C₄⋊C₄	—	43	8	no	—
1175	C₄⋊C₄	—	43	8	no	—
1176	C₄⋊C₄	—	43	8	no	—
1177	C₄⋊C₄	—	43	8	no	—
1178	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1179	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1180	C₂²⋊C₄	—	43	4	no	—
1181	C₂²⋊C₄	—	43	4	no	—
1182	C₂²⋊C₄	—	43	8	no	—
1183	C₂²⋊C₄	—	43	8	no	—
1184	C₂²⋊C₄	—	43	8	no	—
1185	C₂²⋊C₄	—	43	8	no	—
1186	C₂²⋊C₄	—	43	4	no	—
1187	C₂²⋊C₄	—	43	4	no	—
1188	C₂²⋊C₄	—	43	4	no	—
1189	C₂²⋊C₄	—	43	4	no	—
1190	C₂²⋊C₄	—	43	8	no	—
1191	C₂²⋊C₄	—	43	8	no	—
1192	C₂²⋊C₄	—	43	8	no	—
1193	C₂²⋊C₄	—	43	4	no	—
1194	C₂²⋊C₄	—	43	8	no	—
1195	C₂²⋊C₄	—	43	8	no	—
1196	C₂²⋊C₄	—	43	8	no	—
1197	C₂²⋊C₄	—	43	8	no	—
1198	C₂²⋊C₄	—	43	8	no	—
1199	C₂²⋊C₄	—	43	8	no	—
1200	C₂²⋊C₄	—	43	8	no	—
1201	C₂²⋊C₄	—	43	8	no	—
1202	C₂²⋊C₄	—	43	8	no	—
1203	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1204	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1205	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1206	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1207	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1208	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1209	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1210	C₄²	—	43	8	no	—
1211	C₄²	—	43	8	no	—
1212	C₄²	—	43	8	no	—
1213	C₄²	—	43	8	no	—
1214	C₄²	—	43	4	no	—
1215	C₄²	C₂³×D₄₃	1	4	yes	—
1216	C₂³	—	2	2	no	—
1217	C₂³	—	2	4	no	—
1218	C₂³	—	2	8	no	—
1219	C₂³	—	2	2	no	—
1220	C₂³	—	2	8	no	—
1221	C₂³	—	2	4	no	—
1222	C₂³	—	2	2	no	—
1223	C₂³	—	2	2	no	—
1224	C₂³	—	2	8	no	—
1225	C₂³	—	4	2	no	—
1226	C₂³	—	4	4	no	—
1227	C₂³	—	4	2	no	—
1228	C₂³	—	4	4	no	—
1229	C₂³	—	4	4	no	—
1230	C₂³	—	4	2	no	—
1231	C₂³	—	4	4	no	—
1232	C₂³	—	4	2	no	—
1233	C₂³	—	4	2	no	—
1234	C₂³	—	4	4	no	—
1235	C₂³	—	4	16	no	—
1236	C₂³	—	8	8	no	—
1237	C₂³	—	43	4	no	—
1238	C₂³	—	86	4	no	—
1239	C₂³	—	172	4	no	—
1240	C₂³	—	172	2	no	—
1241	C₂³	—	172	4	no	—
1242	C₂³	#13063370	1	4	yes	—
1243	C₂³	C₂⁴×D₄₃	1	2	yes	—
1244	C₂³	C₂⁴×D₄₃	1	2	yes	—
1245	C₂³	C₂⁴×D₄₃	1	2	yes	—
1246	C₂³	C₂⁴×D₄₃	1	4	yes	—
1247	C₂³	C₂⁴×D₄₃	1	2	yes	—
1248	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1249	C₂³	C₂⁴×D₄₃	1	2	yes	—
1250	Q₈	—	4	2	no	—
1251	Q₈	—	172	8	no	—
1252	Q₈	—	172	2	no	—
1253	Q₈	—	172	8	no	—
1254	D₄	—	2	8	no	—
1255	D₄	—	2	8	no	—
1256	D₄	—	2	8	no	—
1257	D₄	—	2	8	no	—
1258	D₄	—	2	16	no	—
1259	D₄	—	4	4	no	—
1260	D₄	—	4	4	no	—
1261	D₄	—	4	2	no	—
1262	D₄	—	4	4	no	—
1263	D₄	—	4	8	no	—
1264	D₄	—	4	8	no	—
1265	D₄	—	86	8	no	—
1266	D₄	—	86	8	no	—
1267	D₄	—	86	16	no	—
1268	D₄	—	172	2	no	—
1269	D₄	—	172	4	no	—
1270	D₄	—	172	8	no	—
1271	D₄	—	172	8	no	—
1272	D₄	—	172	8	no	—
1273	D₄	—	172	8	no	—
1274	C₂×C₄	—	2	2	no	—
1275	C₂×C₄	—	2	2	no	—
1276	C₂×C₄	—	2	4	no	—
1277	C₂×C₄	—	4	4	no	—
1278	C₂×C₄	—	4	4	no	—
1279	C₂×C₄	—	4	2	no	—
1280	C₂×C₄	—	4	4	no	—
1281	C₂×C₄	—	4	4	no	—
1282	C₂×C₄	—	43	8	no	—
1283	C₂×C₄	—	43	4	no	—
1284	C₂×C₄	—	43	8	no	—
1285	C₂×C₄	—	43	4	no	—
1286	C₂×C₄	—	43	4	no	—
1287	C₂×C₄	—	86	4	no	—
1288	C₂×C₄	—	86	4	no	—
1289	C₂×C₄	—	86	8	no	—
1290	C₂×C₄	—	86	8	no	—
1291	C₂×C₄	—	86	4	no	—
1292	C₂×C₄	—	86	8	no	—
1293	C₂×C₄	—	172	8	no	—
1294	C₂×C₄	—	172	4	no	—
1295	C₂×C₄	—	172	8	no	—
1296	C₂×C₄	—	172	2	no	—
1297	C₂×C₄	—	172	2	no	—
1298	C₂×C₄	—	172	4	no	—
1299	C₂×C₄	—	172	4	no	—
1300	C₂×C₄	—	172	2	no	—
1301	C₂×C₄	—	172	2	no	—
1302	C₂×C₄	—	172	8	no	—
1303	C₂×C₄	—	172	4	no	—
1304	C₂×C₄	—	172	4	no	—
1305	C₂×C₄	—	172	2	no	—
1306	C₂×C₄	—	172	4	no	—
1307	C₂×C₄	—	172	4	no	—
1308	C₂×C₄	—	172	8	no	—
1309	C₂×C₄	C₂⁴×D₄₃	1	8	yes	—
1310	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1311	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1312	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1313	C₂²	—	2	8	no	—
1314	C₂²	—	2	2	no	—
1315	C₂²	—	2	4	no	—
1316	C₂²	—	2	2	no	—
1317	C₂²	—	2	2	no	—
1318	C₂²	—	2	4	no	—
1319	C₂²	—	2	2	no	—
1320	C₂²	—	2	2	no	—
1321	C₂²	—	2	2	no	—
1322	C₂²	—	2	4	no	—
1323	C₂²	—	2	8	no	—
1324	C₂²	—	2	4	no	—
1325	C₂²	—	2	4	no	—
1326	C₂²	—	4	4	no	—
1327	C₂²	—	4	16	no	—
1328	C₂²	—	4	4	no	—
1329	C₂²	—	8	2	no	—
1330	C₂²	—	8	2	no	—
1331	C₂²	—	8	8	no	—
1332	C₂²	—	8	4	no	—
1333	C₂²	—	16	2	no	—
1334	C₂²	—	86	4	no	—
1335	C₂²	—	86	8	no	—
1336	C₂²	—	344	4	no	—
1337	C₂²	—	688	2	no	—
1338	C₂²	C₂×#13063370	1	2	yes	—
1339	C₂²	C₂×#13063370	1	4	yes	—
1340	C₂²	#14583734	1	4	yes	—
1341	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1342	C₄	—	2	2	no	—
1343	C₄	—	2	2	no	—
1344	C₄	—	2	4	no	—
1345	C₄	—	2	8	no	—
1346	C₄	—	86	4	no	—
1347	C₄	—	86	4	no	—
1348	C₄	—	86	4	no	—
1349	C₄	—	86	8	no	—
1350	C₄	—	86	8	no	—
1351	C₂	—	2	2	no	—
1352	C₂	—	2	4	no	—
1353	C₂	—	2	4	no	—
1354	C₂	—	4	2	no	—
1355	C₂	—	4	2	no	—
1356	C₂	—	4	2	no	—
1357	C₂	—	4	4	no	—
1358	C₂	—	172	4	no	—
1359	C₂	C₂²×#13063370	1	1	yes	characteristic
1360	C₂	C₂×#14583734	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₄₃
commutator, socle, cosocle	C₂²×C₄₃	C₂⁶
Fitting	C₄₃×#3484	C₂
hypercenter	#3484	D₄₃
hypocenter	C₄₃	#62820
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ #3484

Complements

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

N	H ≅ G/N	type
1. #19148792	C₂	semidirect
2. #19148773	C₂	semidirect
3. #19148768	C₂	semidirect
4. #19148756	C₂	semidirect
5. #19148528	C₂	semidirect
6. #19148520	C₂	semidirect
7. #19148296	C₂	semidirect
8. #19148292	C₂	semidirect
9. #19148288	C₂	semidirect
10. #19148282	C₂	semidirect
11. #19148282	C₂	semidirect
12. #19148236	C₂	semidirect
13. #19148235	C₂	semidirect
14. #19148230	C₂	semidirect
15. C₂×#14583405	C₂	semidirect
16. C₂²×#13063306	C₂	semidirect
17. C₄₃×#3484	C₂	semidirect
18. C₂×#13063370	C₂²	semidirect
19. C₂²×#10621900	C₂²	semidirect
20. C₂⁴×Dic₄₃	C₂²	semidirect
21. #14583652	C₂²	semidirect
22. #14583649	C₂²	semidirect
23. #14583644	C₂²	semidirect
24. #14583644	C₂²	semidirect
25. #14583638	C₂²	semidirect
26. #14583636	C₂²	semidirect
27. #14583635	C₂²	semidirect
28. #14583633	C₂²	semidirect
29. #14583608	C₂²	semidirect
30. #14583603	C₂²	semidirect
31. #14583598	C₂²	semidirect
32. #14583596	C₂²	semidirect
33. #14583592	C₂²	semidirect
34. #14583592	C₂²	semidirect
35. #14583589	C₂²	semidirect
36. #14583586	C₂²	semidirect
37. #14583586	C₂²	semidirect
38. #14583582	C₂²	semidirect
39. #14583580	C₂²	semidirect
40. #14583580	C₂²	semidirect
41. #14583580	C₂²	semidirect
42. #14583580	C₂²	semidirect
43. #14583580	C₂²	semidirect
44. #14583579	C₂²	semidirect
45. #14583578	C₂²	semidirect
46. #14583575	C₂²	semidirect
47. #14583575	C₂²	semidirect
48. #14583575	C₂²	semidirect
49. #14583549	C₂²	semidirect
50. #14583548	C₂²	semidirect
51. #14583548	C₂²	semidirect
52. #14583547	C₂²	semidirect
53. #14583543	C₂²	semidirect
54. #14583543	C₂²	semidirect
55. #14583543	C₂²	semidirect
56. #14583543	C₂²	semidirect
57. #14583543	C₂²	semidirect
58. #14583538	C₂²	semidirect
59. #14583536	C₂²	semidirect
60. #14583536	C₂²	semidirect
61. #14583536	C₂²	semidirect
62. D₄×C₂²⋊D₄₃	C₂²	semidirect
63. #14583528	C₂²	semidirect
64. #14583525	C₂²	semidirect
65. #14583525	C₂²	semidirect
66. #14583516	C₂²	semidirect
67. #14583513	C₂²	semidirect
68. #14583503	C₂²	semidirect
69. #14583499	C₂²	semidirect
70. #14583498	C₂²	semidirect
71. #14583494	C₂²	semidirect
72. #14583494	C₂²	semidirect
73. #14583494	C₂²	semidirect
74. #14583492	C₂²	semidirect
75. #14583491	C₂²	semidirect
76. #14583491	C₂²	semidirect
77. #14583484	C₂²	semidirect
78. #14583484	C₂²	semidirect
79. #14583484	C₂²	semidirect
80. #14583484	C₂²	semidirect
81. #14583481	C₂²	semidirect
82. #14583476	C₂²	semidirect
83. #14583471	C₂²	semidirect
84. #14583470	C₂²	semidirect
85. #14583466	C₂²	semidirect
86. #14583459	C₂²	semidirect
88. #14583458	C₂²	semidirect
89. #14583458	C₂²	semidirect
90. #14583458	C₂²	semidirect
91. #14583458	C₂²	semidirect
92. #14583430	C₂²	semidirect
93. #14583429	C₂²	semidirect
94. #14583410	C₂²	semidirect
95. #14583406	C₂²	semidirect
96. #14583405	C₂²	semidirect
97. #14583405	C₂²	semidirect
98. #14583405	C₂²	semidirect
99. #14583405	C₂²	semidirect
100. #14583405	C₂²	semidirect
101. #14583405	C₂²	semidirect
102. C₂×#13063309	C₂²	semidirect
103. C₂×#13063306	C₂²	semidirect
104. C₂×#13063306	C₂²	semidirect
105. C₂×#13063306	C₂²	semidirect
106. C₂×#13063306	C₂²	semidirect
107. C₂×#13063306	C₂²	semidirect
108. C₂×#13063306	C₂²	semidirect
109. C₂×#13063306	C₂²	semidirect
110. C₂×#13063306	C₂²	semidirect
111. #123×D₄₃	C₂²	semidirect
112. C₂×#13063302	C₂²	semidirect
113. C₂×#13063297	C₂²	semidirect
114. C₂×#13063294	C₂²	semidirect
115. C₂×#13063294	C₂²	semidirect
116. #14583378	C₂²	semidirect
117. #14583374	C₂²	semidirect
118. #14583374	C₂²	semidirect
119. #14583374	C₂²	semidirect
120. #14583372	C₂²	semidirect
121. #14583372	C₂²	semidirect
122. C₂×D₄×Dic₄₃	C₂²	semidirect
123. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
124. C₂×#13063281	C₂²	semidirect
125. C₂²×Dic₄₃⋊C₄	C₂²	semidirect
126. C₂²×C₂²⋊Dic₄₃	C₂²	semidirect
127. C₂²×C₂²⋊Dic₄₃	C₂²	semidirect
128. C₂×H(5,𝔽₂)×C₄₃	C₂²	semidirect
130. C₄₃×#546	C₂²	semidirect
131. D₄²×C₄₃	C₂²	semidirect
132. C₄₃×#535	C₂²	semidirect
134. C₄₃×#534	C₂²	semidirect
135. C₄₃×#525	C₂²	semidirect
136. C₂×#120×C₄₃	C₂²	semidirect
137. C₂×#120×C₄₃	C₂²	semidirect
138. C₄₃×#518	C₂²	semidirect
145. C₂×#10621900	C₂³	semidirect
146. C₂²×Dic₈₆	C₂³	semidirect
151. C₂²×C₂²⋊D₄₃	C₂³	semidirect
160. C₂³×Dic₄₃	C₂³	semidirect
161. C₂²×C₄×D₄₃	C₂³	semidirect
162. #13063324	C₂³	semidirect
163. #13063323	C₂³	semidirect
165. #13063320	C₂³	semidirect
166. #13063319	C₂³	semidirect
167. #13063318	C₂³	semidirect
168. #13063318	C₂³	semidirect
169. #13063318	C₂³	semidirect
170. #13063318	C₂³	semidirect
171. #13063318	C₂³	semidirect
172. #13063318	C₂³	semidirect
173. #13063318	C₂³	semidirect
174. #13063318	C₂³	semidirect
175. #13063317	C₂³	semidirect
176. #13063316	C₂³	semidirect
177. #13063315	C₂³	semidirect
178. #13063315	C₂³	semidirect
179. #13063315	C₂³	semidirect
180. #13063315	C₂³	semidirect
182. #13063312	C₂³	semidirect
183. #13063312	C₂³	semidirect
184. #13063312	C₂³	semidirect
185. #13063311	C₂³	semidirect
186. #13063311	C₂³	semidirect
187. #13063311	C₂³	semidirect
188. #13063310	C₂³	semidirect
191. #13063309	C₂³	semidirect
192. #13063309	C₂³	semidirect
194. #13063308	C₂³	semidirect
195. #13063308	C₂³	semidirect
196. #13063308	C₂³	semidirect
197. #13063307	C₂³	semidirect
198. #13063307	C₂³	semidirect
199. #13063307	C₂³	semidirect
200. #13063307	C₂³	semidirect
217. #13063306	C₂³	semidirect
218. #13063306	C₂³	semidirect
219. #13063306	C₂³	semidirect
220. #13063306	C₂³	semidirect
221. #13063306	C₂³	semidirect
222. #13063306	C₂³	semidirect
223. #13063306	C₂³	semidirect
224. #13063306	C₂³	semidirect
226. #13063304	C₂³	semidirect
227. #13063304	C₂³	semidirect
228. #13063304	C₂³	semidirect
229. #13063304	C₂³	semidirect
230. #13063303	C₂³	semidirect
231. #13063303	C₂³	semidirect
236. #13063302	C₂³	semidirect
237. #13063302	C₂³	semidirect
238. #13063302	C₂³	semidirect
239. #13063302	C₂³	semidirect
240. #13063302	C₂³	semidirect
241. #13063302	C₂³	semidirect
242. #13063302	C₂³	semidirect
243. #13063301	C₂³	semidirect
245. #13063298	C₂³	semidirect
252. #13063297	C₂³	semidirect
253. #13063297	C₂³	semidirect
254. #13063297	C₂³	semidirect
255. #13063297	C₂³	semidirect
256. #13063297	C₂³	semidirect
257. #13063297	C₂³	semidirect
259. #13063296	C₂³	semidirect
260. #13063296	C₂³	semidirect
261. #13063296	C₂³	semidirect
267. #13063294	C₂³	semidirect
268. #13063294	C₂³	semidirect
271. #13063293	C₂³	semidirect
272. #13063293	C₂³	semidirect
273. C₄×Dic₈₆	C₂³	semidirect
274. #13063290	C₂³	semidirect
280. D₄×Dic₄₃	C₂³	semidirect
281. D₄×Dic₄₃	C₂³	semidirect
282. D₄×Dic₄₃	C₂³	semidirect
283. D₄×Dic₄₃	C₂³	semidirect
284. D₄×Dic₄₃	C₂³	semidirect
286. C₄×C₂²⋊D₄₃	C₂³	semidirect
287. C₄×C₂²⋊D₄₃	C₂³	semidirect
288. C₄×C₂²⋊D₄₃	C₂³	semidirect
289. C₄×C₂²⋊D₄₃	C₂³	semidirect
294. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
295. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
296. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
298. #13063284	C₂³	semidirect
299. #13063284	C₂³	semidirect
300. #13063282	C₂³	semidirect
303. #13063281	C₂³	semidirect
304. #13063281	C₂³	semidirect
305. #13063281	C₂³	semidirect
306. #13063281	C₂³	semidirect
307. C₂×C₄⋊Dic₄₃	C₂³	semidirect
313. C₂×Dic₄₃⋊C₄	C₂³	semidirect
314. C₂×Dic₄₃⋊C₄	C₂³	semidirect
315. C₂×Dic₄₃⋊C₄	C₂³	semidirect
316. C₄⋊C₄×D₄₃	C₂³	semidirect
329. C₂×C₂²⋊Dic₄₃	C₂³	semidirect
330. C₂×C₂²⋊Dic₄₃	C₂³	semidirect
331. C₂×C₂²⋊Dic₄₃	C₂³	semidirect
332. C₂×(C₂×D₄₃)⋊C₄	C₂³	semidirect
333. C₂²⋊C₄×D₄₃	C₂³	semidirect
334. C₂²⋊C₄×D₄₃	C₂³	semidirect
335. C₂×C₄×Dic₄₃	C₂³	semidirect
685. #3484	D₄₃	semidirect
699. C₂×H(5,𝔽₂)	C₂×D₄₃	semidirect
744. #546	C₂×D₄₃	semidirect
746. D₄²	C₂×D₄₃	semidirect
770. #535	C₂×D₄₃	semidirect
778. #534	C₂×D₄₃	semidirect
789. #525	C₂×D₄₃	semidirect
804. C₂×#120	C₂×D₄₃	semidirect
805. C₂×#120	C₂×D₄₃	semidirect
812. #518	C₂×D₄₃	semidirect
819. C₄₃	#62820	semidirect

Maximal subgroups

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

subgroup	index
#19148792	2
#19148773	2
#19148768	2
#19148756	2
#19148528	2
#19148520	2
#19148296	2
#19148292	2
#19148288	2
#19148282	2
#19148236	2
#19148235	2
#19148230	2
C₂×#14583405	2
C₂²×#13063306	2
C₄₃×#3484	2
#62820	43