Subgroups — #26005435

Order 11008.

7264 conjugacy classes of subgroups.

The subgroup lattice has 1828 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19149187	C₂	1	4	yes	maximal, complemented
2	#19149151	C₂	1	4	yes	maximal, complemented
3	#19149036	C₂	1	2	yes	maximal, complemented
4	#19149022	C₂	1	4	yes	maximal, complemented
5	#19148984	C₂	1	2	yes	maximal, complemented
6	#19148967	C₂	1	2	yes	maximal, complemented
7	#19148928	C₂	1	2	yes	maximal, complemented
8	#19148785	C₂	1	4	yes	maximal, complemented
9	#19148644	C₂	1	2	yes	maximal, complemented
10	#19148627	C₂	1	2	yes	maximal, complemented
11	#19148621	C₂	1	4	yes	maximal, complemented
12	#19148593	C₂	1	2	yes	maximal, complemented
13	#19148551	C₂	1	2	yes	maximal, complemented
14	#19148550	C₂	1	4	yes	maximal, complemented
15	#19148515	C₂	1	2	yes	maximal, complemented
16	#19148457	C₂	1	1	yes	maximal, characteristic, complemented
17	#19148444	C₂	1	1	yes	maximal, characteristic, complemented
18	#19148434	C₂	1	4	yes	maximal, complemented
19	#19148382	C₂	1	2	yes	maximal, complemented
20	#19148361	C₂	1	1	yes	maximal, characteristic, complemented
21	#19148357	C₂	1	1	yes	maximal, characteristic, complemented
22	#19148325	C₂	1	4	yes	maximal, complemented
23	#19148275	C₂	1	2	yes	maximal, complemented
24	#19148264	C₂	1	2	yes	maximal, complemented
25	#19147891	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#14583433	C₂	1	1	yes	maximal, characteristic, complemented
27	C₂×C₄₃×#532	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#13063372	C₂²	1	2	yes	complemented
29	C₂×#13063371	C₂²	1	2	yes	complemented
30	#14583648	C₂²	1	8	yes	complemented
31	#14583644	C₂²	1	8	yes	complemented
32	#14583637	C₂²	1	8	yes	complemented
33	#14583636	C₂²	1	8	yes	complemented
34	#14583635	C₂²	1	2	yes	complemented
35	#14583631	C₂²	1	4	yes	complemented
36	#14583624	C₂²	1	2	yes	complemented
37	#14583623	C₂²	1	2	yes	complemented
38	#14583619	C₂²	1	2	yes	complemented
39	#14583618	C₂²	1	4	yes	complemented
40	#14583614	C₂²	1	2	yes	complemented
41	#14583613	C₂²	1	4	yes	complemented
42	#14583611	C₂²	1	8	yes	complemented
43	#14583606	C₂²	1	2	yes	complemented
44	#14583604	C₂²	1	4	yes	complemented
45	#14583598	C₂²	1	8	yes	complemented
46	#14583598	C₂²	1	8	yes	complemented
47	#14583597	C₂²	1	4	yes	complemented
48	#14583596	C₂²	1	4	yes	complemented
49	#14583595	C₂²	1	4	yes	complemented
50	#14583595	C₂²	1	4	yes	complemented
51	#14583595	C₂²	1	4	yes	complemented
52	#14583592	C₂²	1	8	yes	complemented
53	#14583592	C₂²	1	8	yes	complemented
54	#14583589	C₂²	1	4	yes	complemented
55	#14583589	C₂²	1	4	yes	complemented
56	#14583589	C₂²	1	4	yes	complemented
57	#14583579	C₂²	1	8	yes	complemented
58	#14583578	C₂²	1	8	yes	complemented
59	#14583578	C₂²	1	8	yes	complemented
60	#14583575	C₂²	1	8	yes	complemented
61	#14583570	C₂²	1	2	yes	complemented
62	#14583569	C₂²	1	2	yes	complemented
63	#14583569	C₂²	1	2	yes	complemented
64	#14583568	C₂²	1	4	yes	complemented
65	#14583567	C₂²	1	4	yes	complemented
66	D₄×Dic₈₆	C₂²	1	2	yes	complemented
67	#14583564	C₂²	1	2	yes	complemented
68	Q₈×C₂²⋊D₄₃	C₂²	1	4	yes	complemented
69	#14583560	C₂²	1	4	yes	complemented
70	#14583558	C₂²	1	4	yes	complemented
71	#14583558	C₂²	1	4	yes	complemented
72	#14583558	C₂²	1	4	yes	complemented
73	#14583557	C₂²	1	4	yes	complemented
74	#14583556	C₂²	1	4	yes	complemented
75	#14583554	C₂²	1	2	yes	complemented
76	#14583553	C₂²	1	2	yes	complemented
77	#14583552	C₂²	1	2	yes	complemented
78	#14583548	C₂²	1	8	yes	complemented
79	#14583548	C₂²	1	4	yes	complemented
80	#14583546	C₂²	1	4	yes	complemented
81	#14583545	C₂²	1	4	yes	complemented
82	#14583545	C₂²	1	4	yes	complemented
83	#14583545	C₂²	1	4	yes	complemented
84	#14583543	C₂²	1	4	yes	complemented
85	#14583543	C₂²	1	4	yes	complemented
86	#14583543	C₂²	1	8	yes	complemented
87	#14583542	C₂²	1	4	yes	complemented
88	#14583539	C₂²	1	8	yes	complemented
89	#14583538	C₂²	1	8	yes	complemented
90	#14583538	C₂²	1	8	yes	complemented
91	#14583537	C₂²	1	4	yes	complemented
92	#14583537	C₂²	1	8	yes	complemented
93	D₄×D₁₇₂	C₂²	1	2	yes	complemented
94	#14583534	C₂²	1	2	yes	complemented
95	D₄×C₂²⋊D₄₃	C₂²	1	4	yes	complemented
96	D₄×C₂²⋊D₄₃	C₂²	1	4	yes	complemented
97	D₄×C₂²⋊D₄₃	C₂²	1	8	yes	complemented
98	#14583526	C₂²	1	4	yes	complemented
99	#14583523	C₂²	1	4	yes	complemented
100	#14583514	C₂²	1	4	yes	complemented
101	#14583513	C₂²	1	8	yes	complemented
102	#14583510	C₂²	1	4	yes	complemented
103	#14583503	C₂²	1	4	yes	complemented
104	#14583503	C₂²	1	4	yes	complemented
105	#14583500	C₂²	1	4	yes	complemented
106	#14583499	C₂²	1	8	yes	complemented
107	#14583499	C₂²	1	8	yes	complemented
108	#14583496	C₂²	1	8	yes	complemented
109	#14583494	C₂²	1	4	yes	complemented
110	#14583491	C₂²	1	8	yes	complemented
111	#14583487	C₂²	1	8	yes	complemented
112	#14583486	C₂²	1	4	yes	complemented
113	#14583483	C₂²	1	8	yes	complemented
114	#14583482	C₂²	1	8	yes	complemented
115	#14583481	C₂²	1	8	yes	complemented
116	#14583481	C₂²	1	8	yes	complemented
117	#14583477	C₂²	1	2	yes	complemented
118	#14583477	C₂²	1	2	yes	complemented
119	#14583477	C₂²	1	4	yes	complemented
120	#14583477	C₂²	1	4	yes	complemented
121	#14583476	C₂²	1	4	yes	complemented
122	#14583474	C₂²	1	4	yes	complemented
123	#14583470	C₂²	1	2	yes	complemented
124	#14583470	C₂²	1	4	yes	complemented
125	#14583463	C₂²	1	2	yes	complemented
126	#14583463	C₂²	1	4	yes	complemented
127	#14583462	C₂²	1	4	yes	complemented
128	#14583462	C₂²	1	4	yes	complemented
129	#14583458	C₂²	1	8	yes	complemented
130	#14583457	C₂²	1	4	yes	complemented
131	#14583456	C₂²	1	1	yes	characteristic, complemented
132	#14583456	C₂²	1	1	yes	characteristic, complemented
133	#14583456	C₂²	1	1	yes	characteristic, complemented
134	#14583449	C₂²	1	1	yes	characteristic, complemented
135	#14583449	C₂²	1	1	yes	characteristic, complemented
136	#14583449	C₂²	1	1	yes	characteristic, complemented
137	#14583448	C₂²	1	4	yes	complemented
138	#14583444	C₂²	1	4	yes	complemented
139	#14583433	C₂²	1	2	yes	complemented
140	#14583433	C₂²	1	2	yes	complemented
141	#14583433	C₂²	1	2	yes	complemented
142	#14583433	C₂²	1	2	yes	complemented
143	#14583433	C₂²	1	2	yes	complemented
144	#14583433	C₂²	1	2	yes	complemented
145	#14583433	C₂²	1	2	yes	complemented
146	#14583433	C₂²	1	2	yes	complemented
147	#14583433	C₂²	1	2	yes	complemented
148	#14583433	C₂²	1	2	yes	complemented
149	#14583433	C₂²	1	2	yes	complemented
150	#14583433	C₂²	1	2	yes	complemented
151	#14583433	C₂²	1	2	yes	complemented
152	#14583433	C₂²	1	2	yes	complemented
153	#14583430	C₂²	1	4	yes	complemented
154	#14583428	C₂²	1	4	yes	complemented
155	#14583428	C₂²	1	4	yes	complemented
156	C₂×#13063319	C₂²	1	2	yes	complemented
157	C₂×#13063317	C₂²	1	1	yes	characteristic, complemented
158	C₂×#13063313	C₂²	1	1	yes	characteristic, complemented
159	#124×D₄₃	C₂²	1	4	yes	complemented
160	#14583410	C₂²	1	2	yes	complemented
161	#14583410	C₂²	1	4	yes	complemented
162	#14583410	C₂²	1	4	yes	complemented
163	#14583410	C₂²	1	2	yes	complemented
164	#14583410	C₂²	1	2	yes	complemented
165	#14583409	C₂²	1	4	yes	complemented
166	C₂×#13063308	C₂²	1	2	yes	complemented
167	C₂×#13063304	C₂²	1	1	yes	characteristic, complemented
168	C₂×#13063304	C₂²	1	4	yes	complemented
169	C₂×#13063299	C₂²	1	1	yes	characteristic
170	C₂×#13063299	C₂²	1	4	yes	complemented
171	#121×D₄₃	C₂²	1	4	yes	complemented
172	#14583382	C₂²	1	2	yes	complemented
173	#14583382	C₂²	1	2	yes	complemented
174	#14583378	C₂²	1	4	yes	complemented
175	#14583372	C₂²	1	8	yes	complemented
176	#14583371	C₂²	1	4	yes	complemented
177	C₄×#10621898	C₂²	1	2	yes	complemented
178	C₄×#10621898	C₂²	1	2	yes	complemented
179	C₄×#10621898	C₂²	1	2	yes	complemented
180	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
181	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
182	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
183	C₂×#13063282	C₂²	1	2	yes	complemented
184	C₂²×#41×C₄₃	C₂²	1	2	yes	complemented
185	C₄₃×#532	C₂²	1	1	yes	characteristic
186	C₄₃×#532	C₂²	1	1	yes	characteristic, complemented
187	C₄₃×#532	C₂²	1	2	yes	complemented
188	C₄₃×#532	C₂²	1	1	yes	characteristic, complemented
189	C₄₃×#532	C₂²	1	1	yes	characteristic, complemented
190	C₄₃×#532	C₂²	1	2	yes	complemented
191	C₄₃×#532	C₂²	1	2	yes	complemented
192	C₄₃×#532	C₂²	1	2	yes	complemented
193	C₄₃×#532	C₂²	1	2	yes	complemented
194	C₄₃×#532	C₂²	1	2	yes	complemented
195	C₂×C₄⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
196	C₂×#127×C₄₃	C₂²	1	1	yes	characteristic, complemented
197	C₂×#124×C₄₃	C₂²	1	2	yes	complemented
198	C₂×#121×C₄₃	C₂²	1	2	yes	complemented
199	C₂×#121×C₄₃	C₂²	1	2	yes	complemented
200	C₂×C₄×D₄×C₄₃	C₂²	1	2	yes	complemented
201	C₂×C₄×D₄×C₄₃	C₂²	1	2	yes	complemented
202	C₂²×C₄²×C₄₃	C₂²	1	1	yes	characteristic, complemented
203	#13063372	—	4	8	no	—
204	#13063371	—	4	8	no	—
205	C₂×#10621902	C₂³	1	4	yes	—
206	C₂×#10621898	C₂³	1	2	yes	—
207	C₂×#10621898	C₂³	1	4	yes	—
208	C₂×#10621898	C₂³	1	4	yes	—
209	C₂×#10621898	C₂³	1	2	yes	—
210	C₂×#10621898	C₂³	1	2	yes	—
211	C₂×#10621900	C₂³	1	4	yes	—
212	C₂×#10621900	C₂³	1	4	yes	—
213	C₂×#10621900	C₂³	1	8	yes	—
214	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
215	C₂²×Dic₈₆	C₂³	1	4	yes	—
216	C₂×Q₈×D₄₃	C₂³	1	4	yes	—
217	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
218	C₂²×D₁₇₂	C₂³	1	4	yes	—
219	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
220	C₂²×C₂²⋊D₄₃	C₂³	1	8	yes	—
221	C₂×D₄×D₄₃	C₂³	1	4	yes	—
222	C₂×D₄×D₄₃	C₂³	1	8	yes	—
223	C₂×D₄×D₄₃	C₂³	1	4	yes	—
224	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
225	#13063325	C₂³	1	1	yes	characteristic
226	#13063325	C₂³	1	1	yes	characteristic
227	#13063325	C₂³	1	1	yes	characteristic
228	#13063324	C₂³	1	4	yes	—
229	#13063323	C₂³	1	8	yes	—
230	#13063323	C₂³	1	4	yes	—
231	#13063322	C₂³	1	1	yes	characteristic
232	#13063321	C₂³	1	8	yes	—
233	#13063321	C₂³	1	4	yes	—
234	#13063321	C₂³	1	4	yes	—
235	#13063320	C₂³	1	8	yes	—
236	#13063320	C₂³	1	8	yes	—
237	#13063320	C₂³	1	8	yes	—
238	#13063319	C₂³	1	4	yes	—
239	#13063319	C₂³	1	4	yes	—
240	#13063319	C₂³	1	4	yes	—
241	#13063319	C₂³	1	4	yes	—
242	#13063319	C₂³	1	4	yes	—
243	#13063319	C₂³	1	4	yes	—
244	#13063318	C₂³	1	8	yes	—
245	#13063318	C₂³	1	8	yes	—
246	#13063318	C₂³	1	8	yes	—
247	#13063318	C₂³	1	8	yes	—
248	#13063317	C₂³	1	2	yes	—
249	#13063317	C₂³	1	2	yes	—
250	#13063317	C₂³	1	2	yes	—
251	#13063317	C₂³	1	2	yes	—
252	#13063317	C₂³	1	2	yes	—
253	#13063317	C₂³	1	2	yes	—
254	#13063317	C₂³	1	2	yes	—
255	#13063316	C₂³	1	4	yes	—
256	#13063315	C₂³	1	8	yes	—
257	#13063315	C₂³	1	8	yes	—
258	#13063315	C₂³	1	8	yes	—
259	#13063314	C₂³	1	8	yes	—
260	#13063314	C₂³	1	4	yes	—
261	#13063313	C₂³	1	2	yes	—
262	#13063313	C₂³	1	2	yes	—
263	#13063313	C₂³	1	2	yes	—
264	#13063313	C₂³	1	2	yes	—
265	#13063313	C₂³	1	2	yes	—
266	#13063313	C₂³	1	2	yes	—
267	#13063313	C₂³	1	2	yes	—
268	#13063312	C₂³	1	8	yes	—
269	#13063312	C₂³	1	4	yes	—
270	#13063312	C₂³	1	4	yes	—
271	#13063311	C₂³	1	8	yes	—
272	#13063311	C₂³	1	8	yes	—
273	#13063311	C₂³	1	8	yes	—
274	#13063311	C₂³	1	8	yes	—
275	#13063310	C₂³	1	8	yes	—
276	#13063310	C₂³	1	8	yes	—
277	#13063310	C₂³	1	8	yes	—
278	#13063309	C₂³	1	8	yes	—
279	#13063308	C₂³	1	4	yes	—
280	#13063308	C₂³	1	8	yes	—
281	#13063308	C₂³	1	8	yes	—
282	#13063308	C₂³	1	4	yes	—
283	#13063308	C₂³	1	4	yes	—
284	#13063308	C₂³	1	4	yes	—
285	#13063308	C₂³	1	4	yes	—
286	#13063308	C₂³	1	4	yes	—
287	#13063308	C₂³	1	4	yes	—
288	#13063307	C₂³	1	8	yes	—
289	#13063307	C₂³	1	8	yes	—
290	#13063307	C₂³	1	8	yes	—
291	#13063307	C₂³	1	8	yes	—
292	#13063306	C₂³	1	8	yes	—
293	#13063306	C₂³	1	8	yes	—
294	#13063306	C₂³	1	8	yes	—
295	#13063306	C₂³	1	8	yes	—
296	#13063306	C₂³	1	8	yes	—
297	#13063306	C₂³	1	8	yes	—
298	#13063305	C₂³	1	4	yes	—
299	#13063304	C₂³	1	4	yes	—
300	#13063304	C₂³	1	2	yes	—
301	#13063304	C₂³	1	8	yes	—
302	#13063304	C₂³	1	4	yes	—
303	#13063304	C₂³	1	4	yes	—
304	#13063304	C₂³	1	4	yes	—
305	#13063304	C₂³	1	2	yes	—
306	#13063304	C₂³	1	8	yes	—
307	#13063304	C₂³	1	2	yes	—
308	#13063304	C₂³	1	2	yes	—
309	#13063304	C₂³	1	2	yes	—
310	#13063304	C₂³	1	2	yes	—
311	#13063304	C₂³	1	2	yes	—
312	#13063304	C₂³	1	2	yes	—
313	#13063304	C₂³	1	2	yes	—
314	#13063304	C₂³	1	2	yes	—
315	#13063303	C₂³	1	8	yes	—
316	#13063303	C₂³	1	8	yes	—
317	#13063303	C₂³	1	8	yes	—
318	#13063302	C₂³	1	8	yes	—
319	#13063302	C₂³	1	8	yes	—
320	#13063301	C₂³	1	4	yes	—
321	#13063301	C₂³	1	4	yes	—
322	#13063301	C₂³	1	8	yes	—
323	#13063301	C₂³	1	8	yes	—
324	#13063300	C₂³	1	4	yes	—
325	#13063299	C₂³	1	4	yes	—
326	#13063299	C₂³	1	4	yes	—
327	#13063299	C₂³	1	4	yes	—
328	#13063299	C₂³	1	2	yes	—
329	#13063299	C₂³	1	8	yes	—
330	#13063299	C₂³	1	2	yes	—
331	#13063299	C₂³	1	8	yes	—
332	#13063299	C₂³	1	4	yes	—
333	#13063299	C₂³	1	2	yes	—
334	#13063299	C₂³	1	2	yes	—
335	#13063299	C₂³	1	2	yes	—
336	#13063299	C₂³	1	2	yes	—
337	#13063299	C₂³	1	2	yes	—
338	#13063299	C₂³	1	2	yes	—
339	#13063299	C₂³	1	2	yes	—
340	#13063299	C₂³	1	2	yes	—
341	#13063298	C₂³	1	8	yes	—
342	#13063298	C₂³	1	8	yes	—
343	#13063298	C₂³	1	8	yes	—
344	#13063298	C₂³	1	8	yes	—
345	#13063297	C₂³	1	8	yes	—
346	#13063297	C₂³	1	8	yes	—
347	#13063297	C₂³	1	8	yes	—
348	#13063297	C₂³	1	8	yes	—
349	#13063297	C₂³	1	8	yes	—
350	#13063297	C₂³	1	8	yes	—
351	#13063297	C₂³	1	8	yes	—
352	#13063297	C₂³	1	8	yes	—
353	#13063297	C₂³	1	8	yes	—
354	#13063297	C₂³	1	8	yes	—
355	#13063297	C₂³	1	8	yes	—
356	#13063297	C₂³	1	8	yes	—
357	#13063296	C₂³	1	4	yes	—
358	#13063296	C₂³	1	8	yes	—
359	#13063296	C₂³	1	4	yes	—
360	#13063296	C₂³	1	4	yes	—
361	#13063296	C₂³	1	8	yes	—
362	#13063296	C₂³	1	4	yes	—
363	#13063295	C₂³	1	8	yes	—
364	#13063294	C₂³	1	8	yes	—
365	#13063294	C₂³	1	4	yes	—
366	#13063294	C₂³	1	8	yes	—
367	#13063293	C₂³	1	8	yes	—
368	#13063293	C₂³	1	8	yes	—
369	#13063293	C₂³	1	8	yes	—
370	#13063293	C₂³	1	8	yes	—
371	#13063293	C₂³	1	8	yes	—
372	#13063293	C₂³	1	8	yes	—
373	Q₈×Dic₄₃	C₂³	1	4	yes	—
374	Q₈×Dic₄₃	C₂³	1	4	yes	—
375	C₄×Dic₈₆	C₂³	1	2	yes	—
376	C₄×Dic₈₆	C₂³	1	2	yes	—
377	C₄×Dic₈₆	C₂³	1	2	yes	—
378	C₄×Dic₈₆	C₂³	1	2	yes	—
379	C₄×Dic₈₆	C₂³	1	2	yes	—
380	C₄×Dic₈₆	C₂³	1	2	yes	—
381	C₄×Dic₈₆	C₂³	1	2	yes	—
382	C₄×Dic₈₆	C₂³	1	2	yes	—
383	C₄×Dic₈₆	C₂³	1	2	yes	—
384	C₄×Dic₈₆	C₂³	1	2	yes	—
385	#13063290	C₂³	1	4	yes	—
386	C₄×D₁₇₂	C₂³	1	2	yes	—
387	C₄×D₁₇₂	C₂³	1	2	yes	—
388	C₄×D₁₇₂	C₂³	1	2	yes	—
389	C₄×D₁₇₂	C₂³	1	2	yes	—
390	C₄×D₁₇₂	C₂³	1	2	yes	—
391	C₄×D₁₇₂	C₂³	1	2	yes	—
392	C₄×D₁₇₂	C₂³	1	2	yes	—
393	C₄×D₁₇₂	C₂³	1	2	yes	—
394	C₄×D₁₇₂	C₂³	1	2	yes	—
395	C₄×D₁₇₂	C₂³	1	2	yes	—
396	D₄×Dic₄₃	C₂³	1	4	yes	—
397	D₄×Dic₄₃	C₂³	1	4	yes	—
398	D₄×Dic₄₃	C₂³	1	8	yes	—
399	D₄×Dic₄₃	C₂³	1	8	yes	—
400	D₄×Dic₄₃	C₂³	1	4	yes	—
401	D₄×Dic₄₃	C₂³	1	4	yes	—
402	#13063287	C₂³	1	4	yes	—
403	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	—
404	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
405	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	—
406	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
407	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
408	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	—
409	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
410	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	—
411	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	—
412	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	—
413	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	—
414	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	—
415	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	—
416	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	—
417	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
418	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
419	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
420	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
421	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
422	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
423	#13063284	C₂³	1	2	yes	—
424	#13063284	C₂³	1	4	yes	—
425	#13063284	C₂³	1	4	yes	—
426	#13063284	C₂³	1	2	yes	—
427	#13063284	C₂³	1	2	yes	—
428	#13063283	C₂³	1	4	yes	—
429	#13063282	C₂³	1	4	yes	—
430	#13063282	C₂³	1	4	yes	—
431	#13063282	C₂³	1	4	yes	—
432	#13063282	C₂³	1	4	yes	—
433	#13063282	C₂³	1	4	yes	—
434	#13063282	C₂³	1	4	yes	—
435	#13063282	C₂³	1	4	yes	—
436	#13063281	C₂³	1	8	yes	—
437	#13063281	C₂³	1	8	yes	—
438	#13063281	C₂³	1	8	yes	—
439	C₂×C₄⋊Dic₄₃	C₂³	1	4	yes	—
440	C₂×C₄⋊Dic₄₃	C₂³	1	4	yes	—
441	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
442	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
443	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
444	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
445	C₂×Dic₄₃⋊C₄	C₂³	1	8	yes	—
446	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
447	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
448	C₄⋊C₄×D₄₃	C₂³	1	4	yes	—
449	C₂×C₂²⋊Dic₄₃	C₂³	1	8	yes	—
450	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
451	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	8	yes	—
452	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
453	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
454	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
455	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
456	C₂²⋊C₄×D₄₃	C₂³	1	8	yes	—
457	C₂²⋊C₄×D₄₃	C₂³	1	8	yes	—
458	C₂²⋊C₄×D₄₃	C₂³	1	8	yes	—
459	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
460	C₄²×D₄₃	C₂³	1	4	yes	—
461	C₂×#41×C₄₃	—	4	8	no	—
462	C₂×#41×C₄₃	C₂³	1	2	yes	—
463	C₂×#41×C₄₃	C₂³	1	2	yes	—
464	C₂×#41×C₄₃	C₂³	1	2	yes	—
465	C₂×#41×C₄₃	C₂³	1	2	yes	—
466	C₂×#41×C₄₃	C₂³	1	4	yes	—
467	C₂×#41×C₄₃	C₂³	1	4	yes	—
468	C₂²×Q₈×C₄₃	C₂³	1	2	yes	—
469	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
470	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
471	C₂²×D₄×C₄₃	C₂³	1	4	yes	—
472	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
473	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
474	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
475	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
476	C₂³×C₄×C₄₃	C₂³	1	4	yes	—
477	C₄⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
478	C₄⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
479	C₄⋊Q₈×C₄₃	C₂³	1	2	yes	—
480	C₄⋊Q₈×C₄₃	C₂³	1	2	yes	—
481	C₄⋊Q₈×C₄₃	C₂³	1	2	yes	—
482	#127×C₄₃	C₂³	1	1	yes	characteristic
483	#127×C₄₃	C₂³	1	1	yes	characteristic
484	#127×C₄₃	C₂³	1	2	yes	—
485	#127×C₄₃	C₂³	1	2	yes	—
486	#127×C₄₃	C₂³	1	2	yes	—
487	#124×C₄₃	C₂³	1	2	yes	—
488	#124×C₄₃	C₂³	1	4	yes	—
489	#124×C₄₃	C₂³	1	2	yes	—
490	#124×C₄₃	C₂³	1	2	yes	—
491	#124×C₄₃	C₂³	1	2	yes	—
492	#124×C₄₃	C₂³	1	4	yes	—
493	#121×C₄₃	C₂³	1	2	yes	—
494	#121×C₄₃	C₂³	1	2	yes	—
495	#121×C₄₃	C₂³	1	2	yes	—
496	#121×C₄₃	C₂³	1	4	yes	—
497	#121×C₄₃	C₂³	1	4	yes	—
498	#121×C₄₃	C₂³	1	2	yes	—
499	#121×C₄₃	C₂³	1	4	yes	—
500	#121×C₄₃	C₂³	1	2	yes	—
501	#121×C₄₃	C₂³	1	2	yes	—
502	#121×C₄₃	C₂³	1	2	yes	—
503	#121×C₄₃	C₂³	1	4	yes	—
504	#121×C₄₃	C₂³	1	2	yes	—
505	C₄×D₄×C₄₃	C₂³	1	2	yes	—
506	C₄×D₄×C₄₃	C₂³	1	2	yes	—
507	C₄×D₄×C₄₃	C₂³	1	2	yes	—
508	C₄×D₄×C₄₃	C₂³	1	4	yes	—
509	C₄×D₄×C₄₃	C₂³	1	4	yes	—
510	C₄×D₄×C₄₃	C₂³	1	2	yes	—
511	C₄×D₄×C₄₃	C₂³	1	4	yes	—
512	C₄×D₄×C₄₃	C₂³	1	2	yes	—
513	C₄×D₄×C₄₃	C₂³	1	2	yes	—
514	C₄×D₄×C₄₃	C₂³	1	2	yes	—
515	C₄×D₄×C₄₃	C₂³	1	2	yes	—
516	C₄×D₄×C₄₃	C₂³	1	4	yes	—
517	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
518	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
519	C₂×C₂²⋊C₄×C₄₃	C₂³	1	4	yes	—
520	C₂×C₂²⋊C₄×C₄₃	C₂³	1	4	yes	—
521	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
522	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
523	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
524	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
525	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
526	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
527	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
528	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
529	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
530	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
531	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
532	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
533	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
534	C₂⁴×C₄₃	C₂⁴	1	4	yes	—
535	C₂³×D₄₃	C₂⁴	1	2	yes	—
536	C₂³×D₄₃	C₂⁴	1	8	yes	—
537	#41×C₄₃	—	2	8	no	—
538	#41×C₄₃	—	2	8	no	—
539	#41×C₄₃	—	4	8	no	—
540	#41×C₄₃	—	4	8	no	—
541	#41×C₄₃	—	4	4	no	—
542	#41×C₄₃	—	4	4	no	—
543	C₂×Q₈×C₄₃	—	4	4	no	—
544	C₂×Q₈×C₄₃	C₂⁴	1	2	yes	—
545	C₂×Q₈×C₄₃	C₂⁴	1	2	yes	—
546	C₂×Q₈×C₄₃	C₂⁴	1	4	yes	—
547	C₂×D₄×C₄₃	—	4	4	no	—
548	C₂×D₄×C₄₃	—	4	8	no	—
549	C₂×D₄×C₄₃	—	4	4	no	—
550	C₂×D₄×C₄₃	—	4	4	no	—
551	C₂×D₄×C₄₃	C₂⁴	1	2	yes	—
552	C₂×D₄×C₄₃	C₂⁴	1	2	yes	—
553	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
554	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
555	C₂×D₄×C₄₃	C₂⁴	1	2	yes	—
556	C₂×D₄×C₄₃	C₂⁴	1	2	yes	—
557	C₂×D₄×C₄₃	C₂⁴	1	2	yes	—
558	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
559	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
560	C₂×D₄×C₄₃	C₂⁴	1	2	yes	—
561	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
562	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
563	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
564	C₂²×C₄×C₄₃	—	2	4	no	—
565	C₂²×C₄×C₄₃	—	4	2	no	—
566	C₂²×C₄×C₄₃	—	4	2	no	—
567	C₂²×C₄×C₄₃	—	4	8	no	—
568	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
569	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
570	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
571	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
572	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
573	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
574	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
575	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
576	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
577	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
578	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
579	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
580	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
581	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
582	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
583	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
584	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
585	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
586	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
587	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
588	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
589	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
590	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
591	C₂×C₂²⋊D₄₃	—	4	4	no	—
592	C₂×C₂²⋊D₄₃	—	4	16	no	—
593	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
594	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
595	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
596	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
597	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
598	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
599	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
600	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
601	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
602	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
603	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
604	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
605	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
606	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
607	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
608	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
609	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
610	#10621902	—	4	8	no	—
611	Q₈×D₄₃	—	4	8	no	—
612	#10621900	—	4	8	no	—
613	#10621900	—	4	8	no	—
614	#10621900	—	4	16	no	—
615	D₄×D₄₃	—	4	16	no	—
616	D₄×D₄₃	—	4	8	no	—
617	D₄×D₄₃	—	4	8	no	—
618	#10621898	—	2	8	no	—
619	#10621898	—	4	4	no	—
620	#10621898	—	4	8	no	—
621	#10621898	—	4	8	no	—
622	#10621898	—	4	4	no	—
623	C₂×D₁₇₂	—	2	4	no	—
624	C₂×D₁₇₂	—	4	8	no	—
625	C₂×D₁₇₂	C₂⁴	1	2	yes	—
626	C₂×D₁₇₂	C₂⁴	1	2	yes	—
627	C₂×D₁₇₂	C₂⁴	1	2	yes	—
628	C₂×D₁₇₂	C₂⁴	1	2	yes	—
629	C₂×D₁₇₂	C₂⁴	1	2	yes	—
630	C₂×D₁₇₂	C₂⁴	1	8	yes	—
631	C₂×C₄×D₄₃	—	4	4	no	—
632	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
633	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
634	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
635	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
636	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
637	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
638	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
639	C₂×Dic₈₆	—	2	4	no	—
640	C₂×Dic₈₆	—	4	8	no	—
641	C₂×Dic₈₆	C₂⁴	1	2	yes	—
642	C₂×Dic₈₆	C₂⁴	1	2	yes	—
643	C₂×Dic₈₆	C₂⁴	1	2	yes	—
644	C₂×Dic₈₆	C₂⁴	1	2	yes	—
645	C₂×Dic₈₆	C₂⁴	1	2	yes	—
646	C₂×Dic₈₆	C₂⁴	1	8	yes	—
647	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
648	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
649	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
650	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
651	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
652	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
653	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
654	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
655	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
656	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
657	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
658	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
659	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
660	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
661	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
662	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
663	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
664	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
665	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
666	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
667	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
668	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
669	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
670	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
671	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
672	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
673	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
674	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
675	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
676	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
677	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
678	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
679	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
680	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
681	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
682	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
683	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
684	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
685	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
686	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
687	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
688	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
689	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
690	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
691	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
692	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
693	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
694	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
695	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
696	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
697	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
698	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
699	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
700	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
701	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
702	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
703	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
704	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
705	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
706	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
707	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
708	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
709	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
710	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
711	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
712	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
713	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
714	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
715	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
716	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
717	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
718	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
719	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
720	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
721	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
722	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
723	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
724	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
725	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
726	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
727	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
728	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
729	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
730	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
731	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
732	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
733	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
734	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
735	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
736	C₄×Dic₄₃	C₂⁴	1	4	yes	—
737	C₄×Dic₄₃	C₂⁴	1	4	yes	—
738	C₄×Dic₄₃	C₂⁴	1	4	yes	—
739	C₄×Dic₄₃	C₂⁴	1	4	yes	—
740	C₄×Dic₄₃	C₂⁴	1	4	yes	—
741	C₄×Dic₄₃	C₂⁴	1	8	yes	—
742	C₄×Dic₄₃	C₂⁴	1	8	yes	—
743	C₂³×C₄₃	—	2	2	no	—
744	C₂³×C₄₃	—	2	2	no	—
745	C₂³×C₄₃	—	2	8	no	—
746	C₂³×C₄₃	—	4	1	no	—
747	C₂³×C₄₃	—	4	4	no	—
748	C₂³×C₄₃	—	4	4	no	—
749	C₂³×C₄₃	C₂⁵	1	4	yes	—
750	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
751	C₂³×C₄₃	C₂⁵	1	4	yes	—
752	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
753	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
754	C₂²×D₄₃	—	2	4	no	—
755	C₂²×D₄₃	—	4	2	no	—
756	C₂²×D₄₃	—	4	2	no	—
757	C₂²×D₄₃	—	4	8	no	—
758	C₂²×D₄₃	—	4	8	no	—
759	C₂²×D₄₃	—	4	8	no	—
760	C₂²×D₄₃	C₂⁵	1	4	yes	—
761	C₂²×D₄₃	C₂⁵	1	4	yes	—
762	Q₈×C₄₃	—	2	4	no	—
763	Q₈×C₄₃	—	2	4	no	—
764	Q₈×C₄₃	—	4	4	no	—
765	D₄×C₄₃	—	2	8	no	—
766	D₄×C₄₃	—	2	8	no	—
767	D₄×C₄₃	—	2	4	no	—
768	D₄×C₄₃	—	2	4	no	—
769	D₄×C₄₃	—	2	4	no	—
770	D₄×C₄₃	—	2	4	no	—
771	D₄×C₄₃	—	4	2	no	—
772	D₄×C₄₃	—	4	4	no	—
773	D₄×C₄₃	—	4	4	no	—
774	D₄×C₄₃	—	4	2	no	—
775	D₄×C₄₃	—	4	4	no	—
776	D₄×C₄₃	—	4	4	no	—
777	D₄×C₄₃	—	4	4	no	—
778	C₂×C₄×C₄₃	—	2	2	no	—
779	C₂×C₄×C₄₃	—	2	2	no	—
780	C₂×C₄×C₄₃	—	2	2	no	—
781	C₂×C₄×C₄₃	—	2	8	no	—
782	C₂×C₄×C₄₃	—	2	8	no	—
783	C₂×C₄×C₄₃	—	2	2	no	—
784	C₂×C₄×C₄₃	—	2	2	no	—
785	C₂×C₄×C₄₃	—	2	2	no	—
786	C₂×C₄×C₄₃	—	2	2	no	—
787	C₂×C₄×C₄₃	—	2	2	no	—
788	C₂×C₄×C₄₃	—	2	2	no	—
789	C₂×C₄×C₄₃	—	2	2	no	—
790	C₂×C₄×C₄₃	—	4	1	no	—
791	C₂×C₄×C₄₃	—	4	1	no	—
792	C₂×C₄×C₄₃	—	4	1	no	—
793	C₂×C₄×C₄₃	—	4	1	no	—
794	C₂×C₄×C₄₃	—	4	1	no	—
795	C₂×C₄×C₄₃	—	4	1	no	—
796	C₂×C₄×C₄₃	—	4	1	no	—
797	C₂×C₄×C₄₃	—	4	4	no	—
798	C₂×C₄×C₄₃	—	4	4	no	—
799	C₂×C₄×C₄₃	—	4	4	no	—
800	C₂×C₄×C₄₃	H(5,𝔽₂)	1	4	yes	—
801	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
802	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
803	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
804	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
805	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
806	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
807	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
808	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
809	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
810	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
811	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
812	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
813	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
814	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
815	C₂²⋊D₄₃	—	2	8	no	—
816	C₂²⋊D₄₃	—	2	8	no	—
817	C₂²⋊D₄₃	—	2	8	no	—
818	C₂²⋊D₄₃	—	4	8	no	—
819	C₂²⋊D₄₃	—	4	8	no	—
820	C₂²⋊D₄₃	—	4	4	no	—
821	C₂²⋊D₄₃	—	4	8	no	—
822	C₂²⋊D₄₃	—	4	8	no	—
823	C₂²⋊D₄₃	—	4	8	no	—
824	C₂²⋊D₄₃	—	4	4	no	—
825	C₂²⋊D₄₃	—	4	8	no	—
826	C₂×Dic₄₃	—	2	4	no	—
827	C₂×Dic₄₃	—	4	8	no	—
828	C₂×Dic₄₃	—	4	2	no	—
829	C₂×Dic₄₃	—	4	8	no	—
830	C₂×Dic₄₃	—	4	8	no	—
831	C₂×Dic₄₃	—	4	2	no	—
832	C₂×Dic₄₃	C₂⁵	1	4	yes	—
833	C₂×Dic₄₃	C₂⁵	1	4	yes	—
834	C₂×Dic₄₃	C₂⁵	1	4	yes	—
835	C₂×Dic₄₃	C₂⁵	1	4	yes	—
836	C₂×Dic₄₃	C₂⁵	1	4	yes	—
837	C₂×Dic₄₃	C₂⁵	1	4	yes	—
838	D₁₇₂	—	2	4	no	—
839	D₁₇₂	—	2	4	no	—
840	D₁₇₂	—	2	4	no	—
841	D₁₇₂	—	2	4	no	—
842	D₁₇₂	—	4	8	no	—
843	D₁₇₂	—	4	2	no	—
844	C₄×D₄₃	—	2	8	no	—
845	C₄×D₄₃	—	2	8	no	—
846	C₄×D₄₃	—	4	4	no	—
847	C₄×D₄₃	—	4	4	no	—
848	C₄×D₄₃	—	4	4	no	—
849	C₄×D₄₃	—	4	8	no	—
850	C₄×D₄₃	—	4	8	no	—
851	Dic₈₆	—	2	4	no	—
852	Dic₈₆	—	2	4	no	—
853	Dic₈₆	—	2	4	no	—
854	Dic₈₆	—	2	4	no	—
855	Dic₈₆	—	4	8	no	—
856	Dic₈₆	—	4	2	no	—
857	#62830	—	43	1	no	maximal, Sylow
858	C₂²×C₄₃	—	2	1	no	—
859	C₂²×C₄₃	—	2	1	no	—
860	C₂²×C₄₃	—	2	1	no	—
861	C₂²×C₄₃	—	2	1	no	—
862	C₂²×C₄₃	—	2	4	no	—
863	C₂²×C₄₃	—	2	1	no	—
864	C₂²×C₄₃	—	2	4	no	—
865	C₂²×C₄₃	—	2	4	no	—
866	C₂²×C₄₃	—	2	4	no	—
867	C₂²×C₄₃	—	2	1	no	—
868	C₂²×C₄₃	—	2	4	no	—
869	C₂²×C₄₃	—	2	4	no	—
870	C₂²×C₄₃	—	2	1	no	—
871	C₂²×C₄₃	—	4	4	no	—
872	C₂²×C₄₃	—	8	8	no	—
873	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
874	C₂²×C₄₃	#585	1	2	yes	—
875	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
876	C₂×D₄₃	—	2	4	no	—
877	C₂×D₄₃	—	2	4	no	—
878	C₂×D₄₃	—	2	4	no	—
879	C₂×D₄₃	—	2	4	no	—
880	C₂×D₄₃	—	2	4	no	—
881	C₂×D₄₃	—	2	4	no	—
882	C₂×D₄₃	—	8	4	no	—
883	C₂×D₄₃	—	16	8	no	—
884	C₄×C₄₃	—	2	4	no	—
885	C₄×C₄₃	—	2	4	no	—
886	C₄×C₄₃	—	2	1	no	—
887	C₄×C₄₃	—	2	1	no	—
888	C₄×C₄₃	—	2	1	no	—
889	C₄×C₄₃	—	2	1	no	—
890	C₄×C₄₃	—	2	1	no	—
891	C₄×C₄₃	—	2	1	no	—
892	C₄×C₄₃	—	2	1	no	—
893	C₄×C₄₃	—	2	1	no	—
894	C₄×C₄₃	—	2	1	no	—
895	C₄×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
896	C₄×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
897	C₄×C₄₃	#585	1	2	yes	—
898	Dic₄₃	—	2	4	no	—
899	Dic₄₃	—	2	4	no	—
900	Dic₄₃	—	2	4	no	—
901	Dic₄₃	—	2	4	no	—
902	Dic₄₃	—	2	4	no	—
903	Dic₄₃	—	2	4	no	—
904	#3562	—	43	4	no	—
905	#3560	—	43	4	no	—
906	#3552	—	43	2	no	—
907	#3551	—	43	4	no	—
908	#3547	—	43	2	no	—
909	#3546	—	43	2	no	—
910	#3543	—	43	2	no	—
911	#3534	—	43	4	no	—
912	#3520	—	43	2	no	—
913	#3519	—	43	4	no	—
914	#3519	—	43	2	no	—
915	#3517	—	43	2	no	—
916	#3514	—	43	2	no	—
917	#3514	—	43	4	no	—
918	#3512	—	43	2	no	—
919	#3507	—	43	1	no	—
920	#3506	—	43	1	no	—
921	#3505	—	43	4	no	—
922	#3500	—	43	2	no	—
923	#3497	—	43	1	no	—
924	#3496	—	43	1	no	—
925	#3494	—	43	4	no	—
926	#3489	—	43	2	no	—
927	#3488	—	43	2	no	—
928	#3444	—	43	1	no	—
929	C₂×#532	D₄₃	1	1	yes	characteristic, complemented
930	C₂×#529	—	43	1	no	—
931	C₂×C₄₃	—	2	2	no	—
932	C₂×C₄₃	—	2	2	no	—
933	C₂×C₄₃	—	4	4	no	—
934	C₂×C₄₃	—	4	1	no	—
935	C₂×C₄₃	—	4	4	no	—
936	C₂×C₄₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
937	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
938	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
939	D₄₃	—	4	4	no	—
940	D₄₃	—	4	4	no	—
941	C₂×2₋¹⁺⁴	—	43	2	no	—
942	C₂×H(5,𝔽₂)	—	43	2	no	—
943	C₂²×#41	C₂×D₄₃	1	2	yes	complemented
944	#563	—	43	8	no	—
945	#562	—	43	8	no	—
946	#560	—	43	8	no	—
947	#560	—	43	8	no	—
948	#559	—	43	2	no	—
949	#559	—	43	4	no	—
950	#557	—	43	2	no	—
951	#556	—	43	2	no	—
952	#556	—	43	4	no	—
953	#556	—	43	2	no	—
954	#555	—	43	8	no	—
955	#555	—	43	4	no	—
956	#555	—	43	2	no	—
957	#554	—	43	2	no	—
958	#554	—	43	4	no	—
959	#553	—	43	8	no	—
960	#553	—	43	8	no	—
961	#553	—	43	4	no	—
962	#553	—	43	4	no	—
963	#553	—	43	4	no	—
964	#553	—	43	4	no	—
965	#553	—	43	8	no	—
966	#553	—	43	8	no	—
967	#553	—	43	4	no	—
968	#552	—	43	4	no	—
969	#552	—	43	4	no	—
970	#552	—	43	4	no	—
971	#551	—	43	8	no	—
972	#551	—	43	8	no	—
973	#551	—	43	8	no	—
974	#551	—	43	8	no	—
975	#550	—	43	4	no	—
976	#550	—	43	2	no	—
977	#550	—	43	2	no	—
978	#550	—	43	4	no	—
979	#550	—	43	2	no	—
980	D₄×Q₈	—	43	4	no	—
981	D₄×Q₈	—	43	2	no	—
982	D₄×Q₈	—	43	2	no	—
983	#548	—	43	4	no	—
984	#548	—	43	4	no	—
985	#548	—	43	4	no	—
986	#548	—	43	4	no	—
987	#548	—	43	4	no	—
988	#548	—	43	4	no	—
989	#547	—	43	8	no	—
990	#547	—	43	4	no	—
991	#547	—	43	2	no	—
992	#547	—	43	2	no	—
993	#547	—	43	2	no	—
994	#546	—	43	8	no	—
995	#546	—	43	4	no	—
996	#546	—	43	4	no	—
997	#546	—	43	8	no	—
998	#546	—	43	4	no	—
999	#546	—	43	4	no	—
1000	#546	—	43	8	no	—
1001	#546	—	43	8	no	—
1002	#546	—	43	4	no	—
1003	#546	—	43	4	no	—
1004	#546	—	43	4	no	—
1005	#546	—	43	4	no	—
1006	#546	—	43	8	no	—
1007	D₄²	—	43	4	no	—
1008	D₄²	—	43	8	no	—
1009	D₄²	—	43	4	no	—
1010	D₄²	—	43	2	no	—
1011	D₄²	—	43	2	no	—
1012	#544	—	43	4	no	—
1013	#542	—	43	4	no	—
1014	#542	—	43	8	no	—
1015	#542	—	43	4	no	—
1016	#541	—	43	4	no	—
1017	#540	—	43	4	no	—
1018	#540	—	43	4	no	—
1019	#540	—	43	8	no	—
1020	#540	—	43	8	no	—
1021	#540	—	43	4	no	—
1022	#539	—	43	4	no	—
1023	#539	—	43	8	no	—
1024	#539	—	43	8	no	—
1025	#538	—	43	8	no	—
1026	#538	—	43	4	no	—
1027	#538	—	43	8	no	—
1028	#538	—	43	8	no	—
1029	#538	—	43	8	no	—
1030	#538	—	43	8	no	—
1031	#537	—	43	2	no	—
1032	#537	—	43	4	no	—
1033	#537	—	43	2	no	—
1034	#537	—	43	4	no	—
1035	#537	—	43	4	no	—
1036	#536	—	43	2	no	—
1037	#536	—	43	4	no	—
1038	#536	—	43	4	no	—
1039	#535	—	43	2	no	—
1040	#535	—	43	4	no	—
1041	#535	—	43	4	no	—
1042	#535	—	43	4	no	—
1043	#534	—	43	8	no	—
1044	#534	—	43	4	no	—
1045	#533	—	43	1	no	—
1046	#533	—	43	1	no	—
1047	#533	—	43	1	no	—
1048	#532	—	43	4	no	—
1049	#532	—	43	4	no	—
1050	#532	—	43	1	no	—
1051	#532	—	43	1	no	—
1052	#532	—	43	1	no	—
1053	#532	C₂×D₄₃	1	1	yes	characteristic
1054	#532	C₂×D₄₃	1	2	yes	complemented
1055	#532	C₂×D₄₃	1	1	yes	characteristic, complemented
1056	#532	C₂×D₄₃	1	2	yes	complemented
1057	#532	C₂×D₄₃	1	1	yes	characteristic, complemented
1058	#532	C₂×D₄₃	1	1	yes	characteristic, complemented
1059	#532	C₂×D₄₃	1	2	yes	complemented
1060	#532	C₂×D₄₃	1	2	yes	complemented
1061	#532	C₂×D₄₃	1	2	yes	complemented
1062	#532	C₂×D₄₃	1	2	yes	complemented
1063	C₂×C₄⋊Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
1064	C₂×#127	C₂×D₄₃	1	1	yes	characteristic, complemented
1065	#529	—	43	4	no	—
1066	#529	—	43	4	no	—
1067	#529	—	43	4	no	—
1068	#529	—	43	2	no	—
1069	#529	—	43	2	no	—
1070	#529	—	43	2	no	—
1071	#529	—	43	2	no	—
1072	#529	—	43	2	no	—
1073	#529	—	43	2	no	—
1074	#529	—	43	2	no	—
1075	#529	—	43	2	no	—
1076	#529	—	43	2	no	—
1077	#529	—	43	2	no	—
1078	#529	—	43	2	no	—
1079	#529	—	43	2	no	—
1080	#529	—	43	2	no	—
1081	#529	—	43	2	no	—
1082	C₂×#126	—	43	2	no	—
1083	C₂×#125	—	43	1	no	—
1084	C₂×#124	—	43	4	no	—
1085	C₂×#124	—	43	1	no	—
1086	C₂×#124	C₂×D₄₃	1	2	yes	complemented
1087	#525	—	43	2	no	—
1088	#525	—	43	2	no	—
1089	#525	—	43	2	no	—
1090	#525	—	43	4	no	—
1091	#525	—	43	4	no	—
1092	#525	—	43	4	no	—
1093	C₂×#123	—	43	2	no	—
1094	C₂×C₂²⋊Q₈	—	43	1	no	—
1095	C₂×C₂²⋊Q₈	—	43	4	no	—
1096	C₂×#121	—	43	1	no	—
1097	C₂×#121	—	43	4	no	—
1098	C₂×#121	—	43	4	no	—
1099	C₂×#121	C₂×D₄₃	1	2	yes	complemented
1100	C₂×#121	C₂×D₄₃	1	2	yes	complemented
1101	#520	—	43	2	no	—
1102	#520	—	43	2	no	—
1103	#520	—	43	4	no	—
1104	#518	—	43	4	no	—
1105	#518	—	43	8	no	—
1106	C₄×#41	—	43	2	no	—
1107	C₄×#41	—	43	2	no	—
1108	C₄×#41	—	43	2	no	—
1109	C₂×C₄×Q₈	—	43	1	no	—
1110	C₂×C₄×D₄	—	43	2	no	—
1111	C₂×C₄×D₄	—	43	1	no	—
1112	C₂×C₄×D₄	C₂×D₄₃	1	2	yes	complemented
1113	C₂×C₄×D₄	C₂×D₄₃	1	2	yes	complemented
1114	C₂×#117	—	43	2	no	—
1115	C₂²×C₄²	C₂×D₄₃	1	1	yes	characteristic, complemented
1116	C₄₃	#62830	1	1	yes	characteristic, complemented, Sylow
1117	2₋¹⁺⁴	—	172	8	no	—
1118	H(5,𝔽₂)	—	172	8	no	—
1119	C₂×#41	—	4	8	no	—
1120	C₂×#41	—	43	4	no	—
1121	C₂×#41	—	43	4	no	—
1122	C₂×#41	—	43	4	no	—
1123	C₂×#41	—	43	8	no	—
1124	C₂×#41	—	43	2	no	—
1125	C₂×#41	—	43	2	no	—
1126	C₂×#41	—	43	2	no	—
1127	C₂×#41	—	43	4	no	—
1128	C₂×#41	—	43	4	no	—
1129	C₂×#41	C₂²×D₄₃	1	2	yes	—
1130	C₂×#41	C₂²×D₄₃	1	2	yes	—
1131	C₂×#41	C₂²×D₄₃	1	4	yes	—
1132	C₂×#41	C₂²×D₄₃	1	4	yes	—
1133	C₂×#41	C₂²×D₄₃	1	2	yes	—
1134	C₂×#41	C₂²×D₄₃	1	2	yes	—
1135	C₂²×Q₈	—	43	4	no	—
1136	C₂²×Q₈	—	43	1	no	—
1137	C₂²×Q₈	—	43	4	no	—
1138	C₂²×Q₈	C₂²×D₄₃	1	2	yes	—
1139	C₂²×D₄	—	43	2	no	—
1140	C₂²×D₄	—	43	8	no	—
1141	C₂²×D₄	—	43	4	no	—
1142	C₂²×D₄	—	43	8	no	—
1143	C₂²×D₄	—	43	4	no	—
1144	C₂²×D₄	—	43	1	no	—
1145	C₂²×D₄	—	43	4	no	—
1146	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
1147	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
1148	C₂²×D₄	C₂²×D₄₃	1	4	yes	—
1149	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
1150	C₂³×C₄	—	43	2	no	—
1151	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1152	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1153	C₂³×C₄	C₂²×D₄₃	1	4	yes	—
1154	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1155	C₄⋊Q₈	—	43	4	no	—
1156	C₄⋊Q₈	—	43	8	no	—
1157	C₄⋊Q₈	—	43	4	no	—
1158	C₄⋊Q₈	—	43	1	no	—
1159	C₄⋊Q₈	—	43	1	no	—
1160	C₄⋊Q₈	—	43	1	no	—
1161	C₄⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
1162	C₄⋊Q₈	C₂²×D₄₃	1	2	yes	—
1163	C₄⋊Q₈	C₂²×D₄₃	1	2	yes	—
1164	C₄⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
1165	C₄⋊Q₈	C₂²×D₄₃	1	2	yes	—
1166	#127	—	43	4	no	—
1167	#127	—	43	4	no	—
1168	#127	—	43	8	no	—
1169	#127	—	43	1	no	—
1170	#127	C₂²×D₄₃	1	1	yes	characteristic
1171	#127	C₂²×D₄₃	1	2	yes	—
1172	#127	C₂²×D₄₃	1	2	yes	—
1173	#127	C₂²×D₄₃	1	1	yes	characteristic
1174	#127	C₂²×D₄₃	1	2	yes	—
1175	#126	—	43	8	no	—
1176	#126	—	43	8	no	—
1177	#126	—	43	8	no	—
1178	#126	—	43	8	no	—
1179	#126	—	43	8	no	—
1180	#126	—	43	8	no	—
1181	#126	—	43	8	no	—
1182	#126	—	43	4	no	—
1183	#126	—	43	4	no	—
1184	#126	—	43	4	no	—
1185	#126	—	43	4	no	—
1186	#126	—	43	4	no	—
1187	#126	—	43	4	no	—
1188	#125	—	43	4	no	—
1189	#125	—	43	8	no	—
1190	#125	—	43	8	no	—
1191	#125	—	43	8	no	—
1192	#125	—	43	2	no	—
1193	#125	—	43	2	no	—
1194	#125	—	43	2	no	—
1195	#125	—	43	2	no	—
1196	#125	—	43	2	no	—
1197	#125	—	43	2	no	—
1198	#125	—	43	2	no	—
1199	#124	—	43	4	no	—
1200	#124	—	43	8	no	—
1201	#124	—	43	4	no	—
1202	#124	—	43	4	no	—
1203	#124	—	43	8	no	—
1204	#124	—	43	8	no	—
1205	#124	—	43	8	no	—
1206	#124	—	43	8	no	—
1207	#124	—	43	8	no	—
1208	#124	—	43	2	no	—
1209	#124	—	43	2	no	—
1210	#124	—	43	2	no	—
1211	#124	—	43	2	no	—
1212	#124	—	43	2	no	—
1213	#124	—	43	2	no	—
1214	#124	—	43	2	no	—
1215	#124	C₂²×D₄₃	1	2	yes	—
1216	#124	C₂²×D₄₃	1	2	yes	—
1217	#124	C₂²×D₄₃	1	2	yes	—
1218	#124	C₂²×D₄₃	1	4	yes	—
1219	#124	C₂²×D₄₃	1	2	yes	—
1220	#124	C₂²×D₄₃	1	4	yes	—
1221	#123	—	43	8	no	—
1222	#123	—	43	8	no	—
1223	#123	—	43	8	no	—
1224	#123	—	43	8	no	—
1225	#123	—	43	8	no	—
1226	#123	—	43	8	no	—
1227	#123	—	43	4	no	—
1228	#123	—	43	4	no	—
1229	#123	—	43	4	no	—
1230	#123	—	43	4	no	—
1231	#123	—	43	4	no	—
1232	#123	—	43	4	no	—
1233	#123	—	43	4	no	—
1234	#123	—	43	8	no	—
1235	#123	—	43	8	no	—
1236	#123	—	43	8	no	—
1237	#123	—	43	8	no	—
1238	#123	—	43	8	no	—
1239	#123	—	43	8	no	—
1240	#123	—	43	8	no	—
1241	#123	—	43	8	no	—
1242	#123	—	43	8	no	—
1243	#123	—	43	8	no	—
1244	C₂²⋊Q₈	—	43	4	no	—
1245	C₂²⋊Q₈	—	43	4	no	—
1246	C₂²⋊Q₈	—	43	8	no	—
1247	C₂²⋊Q₈	—	43	8	no	—
1248	C₂²⋊Q₈	—	43	2	no	—
1249	C₂²⋊Q₈	—	43	2	no	—
1250	C₂²⋊Q₈	—	43	2	no	—
1251	C₂²⋊Q₈	—	43	2	no	—
1252	C₂²⋊Q₈	—	43	2	no	—
1253	C₂²⋊Q₈	—	43	4	no	—
1254	C₂²⋊Q₈	—	43	4	no	—
1255	C₂²⋊Q₈	—	43	8	no	—
1256	C₂²⋊Q₈	—	43	8	no	—
1257	C₂²⋊Q₈	—	43	2	no	—
1258	C₂²⋊Q₈	—	43	2	no	—
1259	C₂²⋊Q₈	—	43	2	no	—
1260	C₂²⋊Q₈	—	43	2	no	—
1261	C₂²⋊Q₈	—	43	2	no	—
1262	C₂²⋊Q₈	—	43	4	no	—
1263	C₂²⋊Q₈	—	43	4	no	—
1264	C₂²⋊Q₈	—	43	4	no	—
1265	C₂²⋊Q₈	—	43	8	no	—
1266	C₂²⋊Q₈	—	43	8	no	—
1267	C₂²⋊Q₈	—	43	8	no	—
1268	C₂²⋊Q₈	—	43	8	no	—
1269	C₂²⋊Q₈	—	43	8	no	—
1270	#121	—	43	8	no	—
1271	#121	—	43	4	no	—
1272	#121	—	43	4	no	—
1273	#121	—	43	4	no	—
1274	#121	—	43	4	no	—
1275	#121	—	43	8	no	—
1276	#121	—	43	8	no	—
1277	#121	—	43	8	no	—
1278	#121	—	43	8	no	—
1279	#121	—	43	8	no	—
1280	#121	—	43	8	no	—
1281	#121	—	43	8	no	—
1282	#121	—	43	8	no	—
1283	#121	—	43	8	no	—
1284	#121	—	43	8	no	—
1285	#121	—	43	8	no	—
1286	#121	—	43	8	no	—
1287	#121	—	43	8	no	—
1288	#121	—	43	2	no	—
1289	#121	—	43	2	no	—
1290	#121	—	43	2	no	—
1291	#121	—	43	2	no	—
1292	#121	—	43	2	no	—
1293	#121	—	43	2	no	—
1294	#121	—	43	4	no	—
1295	#121	—	43	4	no	—
1296	#121	—	43	8	no	—
1297	#121	—	43	8	no	—
1298	#121	—	43	2	no	—
1299	#121	—	43	2	no	—
1300	#121	—	43	2	no	—
1301	#121	—	43	2	no	—
1302	#121	—	43	4	no	—
1303	#121	—	43	4	no	—
1304	#121	—	43	4	no	—
1305	#121	—	43	8	no	—
1306	#121	—	43	8	no	—
1307	#121	—	43	8	no	—
1308	#121	—	43	8	no	—
1309	#121	C₂²×D₄₃	1	2	yes	—
1310	#121	C₂²×D₄₃	1	2	yes	—
1311	#121	C₂²×D₄₃	1	2	yes	—
1312	#121	C₂²×D₄₃	1	2	yes	—
1313	#121	C₂²×D₄₃	1	2	yes	—
1314	#121	C₂²×D₄₃	1	4	yes	—
1315	#121	C₂²×D₄₃	1	2	yes	—
1316	#121	C₂²×D₄₃	1	4	yes	—
1317	#121	C₂²×D₄₃	1	4	yes	—
1318	#121	C₂²×D₄₃	1	2	yes	—
1319	#121	C₂²×D₄₃	1	2	yes	—
1320	#121	C₂²×D₄₃	1	4	yes	—
1321	#120	—	43	4	no	—
1322	#120	—	43	8	no	—
1323	#120	—	43	8	no	—
1324	#120	—	43	8	no	—
1325	#120	—	43	8	no	—
1326	#120	—	43	8	no	—
1327	#120	—	43	8	no	—
1328	#120	—	43	8	no	—
1329	#120	—	43	8	no	—
1330	#120	—	43	8	no	—
1331	C₄×Q₈	—	43	4	no	—
1332	C₄×Q₈	—	43	4	no	—
1333	C₄×Q₈	—	43	4	no	—
1334	C₄×Q₈	—	43	2	no	—
1335	C₄×Q₈	—	43	2	no	—
1336	C₄×Q₈	—	43	2	no	—
1337	C₄×Q₈	—	43	2	no	—
1338	C₄×Q₈	—	43	2	no	—
1339	C₄×Q₈	—	43	2	no	—
1340	C₄×Q₈	—	43	2	no	—
1341	C₄×Q₈	—	43	2	no	—
1342	C₄×Q₈	—	43	2	no	—
1343	C₄×Q₈	—	43	2	no	—
1344	C₄×D₄	—	43	4	no	—
1345	C₄×D₄	—	43	8	no	—
1346	C₄×D₄	—	43	8	no	—
1347	C₄×D₄	—	43	4	no	—
1348	C₄×D₄	—	43	4	no	—
1349	C₄×D₄	—	43	4	no	—
1350	C₄×D₄	—	43	4	no	—
1351	C₄×D₄	—	43	4	no	—
1352	C₄×D₄	—	43	4	no	—
1353	C₄×D₄	—	43	4	no	—
1354	C₄×D₄	—	43	4	no	—
1355	C₄×D₄	—	43	4	no	—
1356	C₄×D₄	—	43	4	no	—
1357	C₄×D₄	—	43	4	no	—
1358	C₄×D₄	—	43	4	no	—
1359	C₄×D₄	—	43	4	no	—
1360	C₄×D₄	—	43	8	no	—
1361	C₄×D₄	—	43	8	no	—
1362	C₄×D₄	—	43	8	no	—
1363	C₄×D₄	—	43	8	no	—
1364	C₄×D₄	—	43	4	no	—
1365	C₄×D₄	—	43	8	no	—
1366	C₄×D₄	—	43	8	no	—
1367	C₄×D₄	—	43	8	no	—
1368	C₄×D₄	—	43	8	no	—
1369	C₄×D₄	—	43	8	no	—
1370	C₄×D₄	—	43	8	no	—
1371	C₄×D₄	—	43	2	no	—
1372	C₄×D₄	—	43	2	no	—
1373	C₄×D₄	—	43	2	no	—
1374	C₄×D₄	—	43	2	no	—
1375	C₄×D₄	—	43	2	no	—
1376	C₄×D₄	—	43	2	no	—
1377	C₄×D₄	—	43	2	no	—
1378	C₄×D₄	—	43	2	no	—
1379	C₄×D₄	—	43	2	no	—
1380	C₄×D₄	—	43	2	no	—
1381	C₄×D₄	C₂²×D₄₃	1	2	yes	—
1382	C₄×D₄	C₂²×D₄₃	1	2	yes	—
1383	C₄×D₄	C₂²×D₄₃	1	2	yes	—
1384	C₄×D₄	C₂²×D₄₃	1	2	yes	—
1385	C₄×D₄	C₂²×D₄₃	1	4	yes	—
1386	C₄×D₄	C₂²×D₄₃	1	4	yes	—
1387	C₄×D₄	C₂²×D₄₃	1	4	yes	—
1388	C₄×D₄	C₂²×D₄₃	1	2	yes	—
1389	C₄×D₄	C₂²×D₄₃	1	2	yes	—
1390	C₄×D₄	C₂²×D₄₃	1	2	yes	—
1391	C₄×D₄	C₂²×D₄₃	1	4	yes	—
1392	C₄×D₄	C₂²×D₄₃	1	2	yes	—
1393	#117	—	43	2	no	—
1394	#117	—	43	2	no	—
1395	#117	—	43	2	no	—
1396	#117	—	43	4	no	—
1397	#117	—	43	4	no	—
1398	#117	—	43	4	no	—
1399	#117	—	43	8	no	—
1400	#117	—	43	8	no	—
1401	#117	—	43	8	no	—
1402	#117	—	43	4	no	—
1403	#117	—	43	4	no	—
1404	#117	—	43	4	no	—
1405	#117	—	43	4	no	—
1406	#117	—	43	4	no	—
1407	#117	—	43	4	no	—
1408	#117	—	43	4	no	—
1409	C₂×C₄⋊C₄	—	43	2	no	—
1410	C₂×C₄⋊C₄	—	43	2	no	—
1411	C₂×C₄⋊C₄	—	43	1	no	—
1412	C₂×C₄⋊C₄	—	43	2	no	—
1413	C₂×C₄⋊C₄	—	43	1	no	—
1414	C₂×C₄⋊C₄	—	43	2	no	—
1415	C₂×C₄⋊C₄	—	43	4	no	—
1416	C₂×C₄⋊C₄	—	43	4	no	—
1417	C₂×C₄⋊C₄	—	43	8	no	—
1418	C₂×C₄⋊C₄	—	43	4	no	—
1419	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
1420	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
1421	C₂×C₂²⋊C₄	—	43	2	no	—
1422	C₂×C₂²⋊C₄	—	43	8	no	—
1423	C₂×C₂²⋊C₄	—	43	2	no	—
1424	C₂×C₂²⋊C₄	—	43	2	no	—
1425	C₂×C₂²⋊C₄	—	43	2	no	—
1426	C₂×C₂²⋊C₄	—	43	2	no	—
1427	C₂×C₂²⋊C₄	—	43	8	no	—
1428	C₂×C₂²⋊C₄	—	43	8	no	—
1429	C₂×C₂²⋊C₄	—	43	8	no	—
1430	C₂×C₂²⋊C₄	—	43	8	no	—
1431	C₂×C₂²⋊C₄	C₂²×D₄₃	1	4	yes	—
1432	C₂×C₂²⋊C₄	C₂²×D₄₃	1	4	yes	—
1433	C₂×C₄²	—	43	2	no	—
1434	C₂×C₄²	—	43	4	no	—
1435	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1436	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1437	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1438	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1439	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1440	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1441	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1442	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1443	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1444	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1445	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1446	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1447	C₂⁴	—	43	2	no	—
1448	C₂⁴	—	43	8	no	—
1449	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1450	C₂⁴	C₂³×D₄₃	1	4	yes	—
1451	#41	—	2	8	no	—
1452	#41	—	2	8	no	—
1453	#41	—	4	8	no	—
1454	#41	—	4	8	no	—
1455	#41	—	4	4	no	—
1456	#41	—	4	4	no	—
1457	#41	—	86	8	no	—
1458	#41	—	172	4	no	—
1459	#41	—	172	8	no	—
1460	#41	—	172	8	no	—
1461	#41	—	172	4	no	—
1462	#41	—	172	16	no	—
1463	#41	—	172	8	no	—
1464	#41	—	172	8	no	—
1465	#41	—	172	8	no	—
1466	C₂×Q₈	—	4	4	no	—
1467	C₂×Q₈	—	43	2	no	—
1468	C₂×Q₈	—	43	2	no	—
1469	C₂×Q₈	—	43	2	no	—
1470	C₂×Q₈	—	43	2	no	—
1471	C₂×Q₈	—	43	2	no	—
1472	C₂×Q₈	—	43	8	no	—
1473	C₂×Q₈	—	86	4	no	—
1474	C₂×Q₈	—	172	8	no	—
1475	C₂×Q₈	—	172	8	no	—
1476	C₂×Q₈	C₂³×D₄₃	1	2	yes	—
1477	C₂×Q₈	C₂³×D₄₃	1	2	yes	—
1478	C₂×Q₈	C₂³×D₄₃	1	4	yes	—
1479	C₂×D₄	—	4	4	no	—
1480	C₂×D₄	—	4	4	no	—
1481	C₂×D₄	—	4	4	no	—
1482	C₂×D₄	—	4	8	no	—
1483	C₂×D₄	—	43	4	no	—
1484	C₂×D₄	—	43	4	no	—
1485	C₂×D₄	—	43	4	no	—
1486	C₂×D₄	—	43	8	no	—
1487	C₂×D₄	—	43	8	no	—
1488	C₂×D₄	—	43	4	no	—
1489	C₂×D₄	—	43	8	no	—
1490	C₂×D₄	—	43	4	no	—
1491	C₂×D₄	—	43	8	no	—
1492	C₂×D₄	—	43	8	no	—
1493	C₂×D₄	—	43	8	no	—
1494	C₂×D₄	—	43	2	no	—
1495	C₂×D₄	—	43	2	no	—
1496	C₂×D₄	—	43	2	no	—
1497	C₂×D₄	—	43	2	no	—
1498	C₂×D₄	—	43	2	no	—
1499	C₂×D₄	—	43	8	no	—
1500	C₂×D₄	—	86	4	no	—
1501	C₂×D₄	—	172	8	no	—
1502	C₂×D₄	—	172	8	no	—
1503	C₂×D₄	—	172	8	no	—
1504	C₂×D₄	—	172	16	no	—
1505	C₂×D₄	—	172	4	no	—
1506	C₂×D₄	—	172	16	no	—
1507	C₂×D₄	C₂³×D₄₃	1	2	yes	—
1508	C₂×D₄	C₂³×D₄₃	1	2	yes	—
1509	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1510	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1511	C₂×D₄	C₂³×D₄₃	1	2	yes	—
1512	C₂×D₄	C₂³×D₄₃	1	2	yes	—
1513	C₂×D₄	C₂³×D₄₃	1	2	yes	—
1514	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1515	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1516	C₂×D₄	C₂³×D₄₃	1	2	yes	—
1517	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1518	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1519	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1520	C₂²×C₄	—	2	4	no	—
1521	C₂²×C₄	—	4	8	no	—
1522	C₂²×C₄	—	4	2	no	—
1523	C₂²×C₄	—	4	2	no	—
1524	C₂²×C₄	—	43	2	no	—
1525	C₂²×C₄	—	43	2	no	—
1526	C₂²×C₄	—	43	2	no	—
1527	C₂²×C₄	—	43	8	no	—
1528	C₂²×C₄	—	43	8	no	—
1529	C₂²×C₄	—	43	8	no	—
1530	C₂²×C₄	—	43	4	no	—
1531	C₂²×C₄	—	43	4	no	—
1532	C₂²×C₄	—	43	4	no	—
1533	C₂²×C₄	—	43	4	no	—
1534	C₂²×C₄	—	43	4	no	—
1535	C₂²×C₄	—	43	8	no	—
1536	C₂²×C₄	—	43	8	no	—
1537	C₂²×C₄	—	172	4	no	—
1538	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1539	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1540	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1541	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1542	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1543	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1544	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1545	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1546	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1547	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1548	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1549	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1550	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1551	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1552	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1553	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1554	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1555	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1556	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1557	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1558	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1559	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1560	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1561	C₄⋊C₄	—	43	2	no	—
1562	C₄⋊C₄	—	43	4	no	—
1563	C₄⋊C₄	—	43	2	no	—
1564	C₄⋊C₄	—	43	2	no	—
1565	C₄⋊C₄	—	43	2	no	—
1566	C₄⋊C₄	—	43	2	no	—
1567	C₄⋊C₄	—	43	4	no	—
1568	C₄⋊C₄	—	43	8	no	—
1569	C₄⋊C₄	—	43	4	no	—
1570	C₄⋊C₄	—	43	4	no	—
1571	C₄⋊C₄	—	43	4	no	—
1572	C₄⋊C₄	—	43	4	no	—
1573	C₄⋊C₄	—	43	2	no	—
1574	C₄⋊C₄	—	43	2	no	—
1575	C₄⋊C₄	—	43	4	no	—
1576	C₄⋊C₄	—	43	8	no	—
1577	C₄⋊C₄	—	43	8	no	—
1578	C₄⋊C₄	—	43	8	no	—
1579	C₄⋊C₄	—	43	4	no	—
1580	C₄⋊C₄	—	43	4	no	—
1581	C₄⋊C₄	—	43	2	no	—
1582	C₄⋊C₄	—	43	4	no	—
1583	C₄⋊C₄	—	43	8	no	—
1584	C₄⋊C₄	—	43	8	no	—
1585	C₄⋊C₄	—	43	4	no	—
1586	C₄⋊C₄	—	43	4	no	—
1587	C₄⋊C₄	—	43	4	no	—
1588	C₄⋊C₄	—	43	4	no	—
1589	C₄⋊C₄	—	43	2	no	—
1590	C₄⋊C₄	—	43	2	no	—
1591	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
1592	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
1593	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
1594	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1595	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1596	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
1597	C₂²⋊C₄	—	43	4	no	—
1598	C₂²⋊C₄	—	43	4	no	—
1599	C₂²⋊C₄	—	43	8	no	—
1600	C₂²⋊C₄	—	43	8	no	—
1601	C₂²⋊C₄	—	43	8	no	—
1602	C₂²⋊C₄	—	43	4	no	—
1603	C₂²⋊C₄	—	43	4	no	—
1604	C₂²⋊C₄	—	43	8	no	—
1605	C₂²⋊C₄	—	43	8	no	—
1606	C₂²⋊C₄	—	43	4	no	—
1607	C₂²⋊C₄	—	43	8	no	—
1608	C₂²⋊C₄	—	43	4	no	—
1609	C₂²⋊C₄	—	43	4	no	—
1610	C₂²⋊C₄	—	43	4	no	—
1611	C₂²⋊C₄	—	43	4	no	—
1612	C₂²⋊C₄	—	43	4	no	—
1613	C₂²⋊C₄	—	43	8	no	—
1614	C₂²⋊C₄	—	43	4	no	—
1615	C₂²⋊C₄	—	43	4	no	—
1616	C₂²⋊C₄	—	43	4	no	—
1617	C₂²⋊C₄	—	43	4	no	—
1618	C₂²⋊C₄	—	43	8	no	—
1619	C₂²⋊C₄	—	43	4	no	—
1620	C₂²⋊C₄	—	43	8	no	—
1621	C₂²⋊C₄	—	43	8	no	—
1622	C₂²⋊C₄	—	43	4	no	—
1623	C₂²⋊C₄	—	43	4	no	—
1624	C₂²⋊C₄	—	43	4	no	—
1625	C₂²⋊C₄	—	43	4	no	—
1626	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1627	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1628	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1629	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1630	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1631	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1632	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1633	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1634	C₄²	—	43	4	no	—
1635	C₄²	—	43	4	no	—
1636	C₄²	—	43	4	no	—
1637	C₄²	—	43	4	no	—
1638	C₄²	—	43	4	no	—
1639	C₄²	—	43	8	no	—
1640	C₄²	—	43	8	no	—
1641	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1642	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1643	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1644	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1645	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1646	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1647	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1648	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1649	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1650	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1651	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1652	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1653	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1654	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1655	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1656	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1657	C₂³	—	2	2	no	—
1658	C₂³	—	2	2	no	—
1659	C₂³	—	2	8	no	—
1660	C₂³	—	4	1	no	—
1661	C₂³	—	4	4	no	—
1662	C₂³	—	4	4	no	—
1663	C₂³	—	43	4	no	—
1664	C₂³	—	43	4	no	—
1665	C₂³	—	86	4	no	—
1666	C₂³	—	172	2	no	—
1667	C₂³	—	172	2	no	—
1668	C₂³	—	172	8	no	—
1669	C₂³	—	172	8	no	—
1670	C₂³	—	172	8	no	—
1671	C₂³	C₂⁴×D₄₃	1	4	yes	—
1672	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1673	C₂³	C₂⁴×D₄₃	1	4	yes	—
1674	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1675	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1676	Q₈	—	2	4	no	—
1677	Q₈	—	2	4	no	—
1678	Q₈	—	4	4	no	—
1679	Q₈	—	86	4	no	—
1680	Q₈	—	86	4	no	—
1681	Q₈	—	86	4	no	—
1682	Q₈	—	86	4	no	—
1683	Q₈	—	172	8	no	—
1684	Q₈	—	172	2	no	—
1685	D₄	—	2	8	no	—
1686	D₄	—	2	8	no	—
1687	D₄	—	2	4	no	—
1688	D₄	—	2	4	no	—
1689	D₄	—	2	4	no	—
1690	D₄	—	2	4	no	—
1691	D₄	—	4	4	no	—
1692	D₄	—	4	4	no	—
1693	D₄	—	4	4	no	—
1694	D₄	—	4	4	no	—
1695	D₄	—	4	2	no	—
1696	D₄	—	4	4	no	—
1697	D₄	—	4	2	no	—
1698	D₄	—	86	8	no	—
1699	D₄	—	86	8	no	—
1700	D₄	—	86	8	no	—
1701	D₄	—	86	4	no	—
1702	D₄	—	86	4	no	—
1703	D₄	—	86	4	no	—
1704	D₄	—	86	4	no	—
1705	D₄	—	172	8	no	—
1706	D₄	—	172	2	no	—
1707	D₄	—	172	8	no	—
1708	D₄	—	172	8	no	—
1709	D₄	—	172	4	no	—
1710	D₄	—	172	8	no	—
1711	D₄	—	172	8	no	—
1712	D₄	—	172	8	no	—
1713	D₄	—	172	4	no	—
1714	D₄	—	172	8	no	—
1715	C₂×C₄	—	2	2	no	—
1716	C₂×C₄	—	2	2	no	—
1717	C₂×C₄	—	2	2	no	—
1718	C₂×C₄	—	2	2	no	—
1719	C₂×C₄	—	2	2	no	—
1720	C₂×C₄	—	2	2	no	—
1721	C₂×C₄	—	2	2	no	—
1722	C₂×C₄	—	2	8	no	—
1723	C₂×C₄	—	2	8	no	—
1724	C₂×C₄	—	2	2	no	—
1725	C₂×C₄	—	2	2	no	—
1726	C₂×C₄	—	2	2	no	—
1727	C₂×C₄	—	4	4	no	—
1728	C₂×C₄	—	4	4	no	—
1729	C₂×C₄	—	4	4	no	—
1730	C₂×C₄	—	4	1	no	—
1731	C₂×C₄	—	4	1	no	—
1732	C₂×C₄	—	4	1	no	—
1733	C₂×C₄	—	4	1	no	—
1734	C₂×C₄	—	4	1	no	—
1735	C₂×C₄	—	4	1	no	—
1736	C₂×C₄	—	4	1	no	—
1737	C₂×C₄	—	43	4	no	—
1738	C₂×C₄	—	43	4	no	—
1739	C₂×C₄	—	43	4	no	—
1740	C₂×C₄	—	43	4	no	—
1741	C₂×C₄	—	43	4	no	—
1742	C₂×C₄	—	43	4	no	—
1743	C₂×C₄	—	86	4	no	—
1744	C₂×C₄	—	86	8	no	—
1745	C₂×C₄	—	86	8	no	—
1746	C₂×C₄	—	172	4	no	—
1747	C₂×C₄	—	172	8	no	—
1748	C₂×C₄	—	172	8	no	—
1749	C₂×C₄	—	172	4	no	—
1750	C₂×C₄	—	172	4	no	—
1751	C₂×C₄	—	172	2	no	—
1752	C₂×C₄	—	172	2	no	—
1753	C₂×C₄	—	172	8	no	—
1754	C₂×C₄	—	172	8	no	—
1755	C₂×C₄	—	172	8	no	—
1756	C₂×C₄	#13063370	1	4	yes	—
1757	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1758	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1759	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1760	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1761	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1762	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1763	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1764	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1765	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1766	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1767	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1768	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1769	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1770	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1771	C₂²	—	2	1	no	—
1772	C₂²	—	2	1	no	—
1773	C₂²	—	2	1	no	—
1774	C₂²	—	2	1	no	—
1775	C₂²	—	2	1	no	—
1776	C₂²	—	2	4	no	—
1777	C₂²	—	2	4	no	—
1778	C₂²	—	2	1	no	—
1779	C₂²	—	2	1	no	—
1780	C₂²	—	2	4	no	—
1781	C₂²	—	2	4	no	—
1782	C₂²	—	2	4	no	—
1783	C₂²	—	2	4	no	—
1784	C₂²	—	4	4	no	—
1785	C₂²	—	8	8	no	—
1786	C₂²	—	86	4	no	—
1787	C₂²	—	86	4	no	—
1788	C₂²	—	86	4	no	—
1789	C₂²	—	86	4	no	—
1790	C₂²	—	86	4	no	—
1791	C₂²	—	86	4	no	—
1792	C₂²	—	344	4	no	—
1793	C₂²	—	688	8	no	—
1794	C₂²	C₂×#13063370	1	2	yes	—
1795	C₂²	#14583735	1	2	yes	—
1796	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1797	C₄	—	2	1	no	—
1798	C₄	—	2	1	no	—
1799	C₄	—	2	4	no	—
1800	C₄	—	2	4	no	—
1801	C₄	—	2	1	no	—
1802	C₄	—	2	1	no	—
1803	C₄	—	2	1	no	—
1804	C₄	—	2	1	no	—
1805	C₄	—	2	1	no	—
1806	C₄	—	2	1	no	—
1807	C₄	—	2	1	no	—
1808	C₄	—	86	4	no	—
1809	C₄	—	86	4	no	—
1810	C₄	—	86	4	no	—
1811	C₄	—	86	4	no	—
1812	C₄	—	86	4	no	—
1813	C₄	—	86	4	no	—
1814	C₄	C₂×#13063370	1	2	yes	—
1815	C₄	C₂×#13063370	1	2	yes	—
1816	C₄	#14583735	1	2	yes	—
1817	C₂	—	2	2	no	—
1818	C₂	—	2	2	no	—
1819	C₂	—	4	1	no	—
1820	C₂	—	4	4	no	—
1821	C₂	—	4	4	no	—
1822	C₂	—	172	4	no	—
1823	C₂	—	172	4	no	—
1824	C₂	C₂²×#13063370	1	1	yes	characteristic
1825	C₂	C₂×#14583735	1	1	yes	characteristic
1826	C₂	C₂×#14583735	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₄₃
commutator, socle, cosocle	C₂²×C₄₃	C₂⁶
Fitting	C₂×C₄₃×#532	C₂
hypercenter	C₂×#532	D₄₃
hypocenter	C₄₃	#62830
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×#532

Complements

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

N	H ≅ G/N	type
1. #19149187	C₂	semidirect
2. #19149151	C₂	semidirect
3. #19149036	C₂	semidirect
4. #19149022	C₂	semidirect
5. #19148984	C₂	semidirect
6. #19148967	C₂	semidirect
7. #19148928	C₂	semidirect
8. #19148785	C₂	semidirect
9. #19148644	C₂	semidirect
10. #19148627	C₂	semidirect
11. #19148621	C₂	semidirect
12. #19148593	C₂	semidirect
13. #19148551	C₂	semidirect
14. #19148550	C₂	semidirect
15. #19148515	C₂	semidirect
16. #19148457	C₂	semidirect
17. #19148444	C₂	semidirect
18. #19148434	C₂	semidirect
19. #19148382	C₂	semidirect
20. #19148361	C₂	semidirect
21. #19148357	C₂	semidirect
22. #19148325	C₂	semidirect
23. #19148275	C₂	semidirect
24. #19148264	C₂	semidirect
25. #19147891	C₂	semidirect
26. C₂×#14583433	C₂	semidirect
27. C₂×C₄₃×#532	C₂	semidirect
28. C₂×#13063372	C₂²	semidirect
29. C₂×#13063371	C₂²	semidirect
30. #14583648	C₂²	semidirect
31. #14583644	C₂²	semidirect
32. #14583637	C₂²	semidirect
33. #14583636	C₂²	semidirect
34. #14583635	C₂²	semidirect
35. #14583631	C₂²	semidirect
36. #14583624	C₂²	semidirect
37. #14583623	C₂²	semidirect
38. #14583619	C₂²	semidirect
39. #14583618	C₂²	semidirect
40. #14583614	C₂²	semidirect
41. #14583613	C₂²	semidirect
42. #14583611	C₂²	semidirect
43. #14583606	C₂²	semidirect
44. #14583604	C₂²	semidirect
45. #14583598	C₂²	semidirect
46. #14583598	C₂²	semidirect
47. #14583597	C₂²	semidirect
48. #14583596	C₂²	semidirect
49. #14583595	C₂²	semidirect
50. #14583595	C₂²	semidirect
51. #14583595	C₂²	semidirect
52. #14583592	C₂²	semidirect
53. #14583592	C₂²	semidirect
54. #14583589	C₂²	semidirect
55. #14583589	C₂²	semidirect
56. #14583589	C₂²	semidirect
57. #14583579	C₂²	semidirect
58. #14583578	C₂²	semidirect
59. #14583578	C₂²	semidirect
60. #14583575	C₂²	semidirect
61. #14583570	C₂²	semidirect
62. #14583569	C₂²	semidirect
63. #14583569	C₂²	semidirect
64. #14583568	C₂²	semidirect
65. #14583567	C₂²	semidirect
66. D₄×Dic₈₆	C₂²	semidirect
67. #14583564	C₂²	semidirect
68. Q₈×C₂²⋊D₄₃	C₂²	semidirect
69. #14583560	C₂²	semidirect
70. #14583558	C₂²	semidirect
71. #14583558	C₂²	semidirect
72. #14583558	C₂²	semidirect
73. #14583557	C₂²	semidirect
74. #14583556	C₂²	semidirect
75. #14583554	C₂²	semidirect
76. #14583553	C₂²	semidirect
77. #14583552	C₂²	semidirect
78. #14583548	C₂²	semidirect
79. #14583548	C₂²	semidirect
80. #14583546	C₂²	semidirect
81. #14583545	C₂²	semidirect
82. #14583545	C₂²	semidirect
83. #14583545	C₂²	semidirect
84. #14583543	C₂²	semidirect
85. #14583543	C₂²	semidirect
86. #14583543	C₂²	semidirect
87. #14583542	C₂²	semidirect
88. #14583539	C₂²	semidirect
89. #14583538	C₂²	semidirect
90. #14583538	C₂²	semidirect
91. #14583537	C₂²	semidirect
92. #14583537	C₂²	semidirect
93. D₄×D₁₇₂	C₂²	semidirect
94. #14583534	C₂²	semidirect
95. D₄×C₂²⋊D₄₃	C₂²	semidirect
96. D₄×C₂²⋊D₄₃	C₂²	semidirect
97. D₄×C₂²⋊D₄₃	C₂²	semidirect
98. #14583526	C₂²	semidirect
99. #14583523	C₂²	semidirect
100. #14583514	C₂²	semidirect
101. #14583513	C₂²	semidirect
102. #14583510	C₂²	semidirect
103. #14583503	C₂²	semidirect
104. #14583503	C₂²	semidirect
105. #14583500	C₂²	semidirect
106. #14583499	C₂²	semidirect
107. #14583499	C₂²	semidirect
108. #14583496	C₂²	semidirect
109. #14583494	C₂²	semidirect
110. #14583491	C₂²	semidirect
111. #14583487	C₂²	semidirect
112. #14583486	C₂²	semidirect
113. #14583483	C₂²	semidirect
114. #14583482	C₂²	semidirect
115. #14583481	C₂²	semidirect
116. #14583481	C₂²	semidirect
117. #14583477	C₂²	semidirect
118. #14583477	C₂²	semidirect
119. #14583477	C₂²	semidirect
120. #14583477	C₂²	semidirect
121. #14583476	C₂²	semidirect
122. #14583474	C₂²	semidirect
123. #14583470	C₂²	semidirect
124. #14583470	C₂²	semidirect
125. #14583463	C₂²	semidirect
126. #14583463	C₂²	semidirect
127. #14583462	C₂²	semidirect
128. #14583462	C₂²	semidirect
129. #14583458	C₂²	semidirect
130. #14583457	C₂²	semidirect
131. #14583456	C₂²	semidirect
132. #14583456	C₂²	semidirect
133. #14583456	C₂²	semidirect
134. #14583449	C₂²	semidirect
135. #14583449	C₂²	semidirect
136. #14583449	C₂²	semidirect
137. #14583448	C₂²	semidirect
138. #14583444	C₂²	semidirect
139. #14583433	C₂²	semidirect
140. #14583433	C₂²	semidirect
141. #14583433	C₂²	semidirect
142. #14583433	C₂²	semidirect
143. #14583433	C₂²	semidirect
144. #14583433	C₂²	semidirect
145. #14583433	C₂²	semidirect
146. #14583433	C₂²	semidirect
147. #14583433	C₂²	semidirect
148. #14583433	C₂²	semidirect
149. #14583433	C₂²	semidirect
150. #14583433	C₂²	semidirect
151. #14583433	C₂²	semidirect
152. #14583433	C₂²	semidirect
153. #14583430	C₂²	semidirect
154. #14583428	C₂²	semidirect
155. #14583428	C₂²	semidirect
156. C₂×#13063319	C₂²	semidirect
157. C₂×#13063317	C₂²	semidirect
158. C₂×#13063313	C₂²	semidirect
159. #124×D₄₃	C₂²	semidirect
160. #14583410	C₂²	semidirect
161. #14583410	C₂²	semidirect
162. #14583410	C₂²	semidirect
163. #14583410	C₂²	semidirect
164. #14583410	C₂²	semidirect
165. #14583409	C₂²	semidirect
166. C₂×#13063308	C₂²	semidirect
167. C₂×#13063304	C₂²	semidirect
168. C₂×#13063304	C₂²	semidirect
170. C₂×#13063299	C₂²	semidirect
171. #121×D₄₃	C₂²	semidirect
172. #14583382	C₂²	semidirect
173. #14583382	C₂²	semidirect
174. #14583378	C₂²	semidirect
175. #14583372	C₂²	semidirect
176. #14583371	C₂²	semidirect
177. C₄×#10621898	C₂²	semidirect
178. C₄×#10621898	C₂²	semidirect
179. C₄×#10621898	C₂²	semidirect
180. C₂×C₄×Dic₈₆	C₂²	semidirect
181. C₂×C₄×D₁₇₂	C₂²	semidirect
182. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
183. C₂×#13063282	C₂²	semidirect
184. C₂²×#41×C₄₃	C₂²	semidirect
186. C₄₃×#532	C₂²	semidirect
187. C₄₃×#532	C₂²	semidirect
188. C₄₃×#532	C₂²	semidirect
189. C₄₃×#532	C₂²	semidirect
190. C₄₃×#532	C₂²	semidirect
191. C₄₃×#532	C₂²	semidirect
192. C₄₃×#532	C₂²	semidirect
193. C₄₃×#532	C₂²	semidirect
194. C₄₃×#532	C₂²	semidirect
195. C₂×C₄⋊Q₈×C₄₃	C₂²	semidirect
196. C₂×#127×C₄₃	C₂²	semidirect
197. C₂×#124×C₄₃	C₂²	semidirect
198. C₂×#121×C₄₃	C₂²	semidirect
199. C₂×#121×C₄₃	C₂²	semidirect
200. C₂×C₄×D₄×C₄₃	C₂²	semidirect
201. C₂×C₄×D₄×C₄₃	C₂²	semidirect
202. C₂²×C₄²×C₄₃	C₂²	semidirect
929. C₂×#532	D₄₃	semidirect
943. C₂²×#41	C₂×D₄₃	semidirect
1054. #532	C₂×D₄₃	semidirect
1055. #532	C₂×D₄₃	semidirect
1056. #532	C₂×D₄₃	semidirect
1057. #532	C₂×D₄₃	semidirect
1058. #532	C₂×D₄₃	semidirect
1059. #532	C₂×D₄₃	semidirect
1060. #532	C₂×D₄₃	semidirect
1061. #532	C₂×D₄₃	semidirect
1062. #532	C₂×D₄₃	semidirect
1063. C₂×C₄⋊Q₈	C₂×D₄₃	semidirect
1064. C₂×#127	C₂×D₄₃	semidirect
1086. C₂×#124	C₂×D₄₃	semidirect
1099. C₂×#121	C₂×D₄₃	semidirect
1100. C₂×#121	C₂×D₄₃	semidirect
1112. C₂×C₄×D₄	C₂×D₄₃	semidirect
1113. C₂×C₄×D₄	C₂×D₄₃	semidirect
1115. C₂²×C₄²	C₂×D₄₃	semidirect
1116. C₄₃	#62830	semidirect

Maximal subgroups

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

subgroup	index
#19149187	2
#19149151	2
#19149036	2
#19149022	2
#19148984	2
#19148967	2
#19148928	2
#19148785	2
#19148644	2
#19148627	2
#19148621	2
#19148593	2
#19148551	2
#19148550	2
#19148515	2
#19148457	2
#19148444	2
#19148434	2
#19148382	2
#19148361	2
#19148357	2
#19148325	2
#19148275	2
#19148264	2
#19147891	2
C₂×#14583433	2
C₂×C₄₃×#532	2
#62830	43