Subgroups — #26005291

Order 11008.

7274 conjugacy classes of subgroups.

The subgroup lattice has 1690 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19149147	C₂	1	4	yes	maximal, complemented
2	#19149141	C₂	1	4	yes	maximal, complemented
3	#19149129	C₂	1	2	yes	maximal, complemented
4	#19149126	C₂	1	2	yes	maximal, complemented
5	#19149114	C₂	1	2	yes	maximal, complemented
6	#19149111	C₂	1	2	yes	maximal, complemented
7	#19148947	C₂	1	4	yes	maximal, complemented
8	#19148935	C₂	1	2	yes	maximal, complemented
9	#19148925	C₂	1	2	yes	maximal, complemented
10	#19148680	C₂	1	2	yes	maximal, complemented
11	#19148678	C₂	1	2	yes	maximal, complemented
12	#19148629	C₂	1	2	yes	maximal, complemented
13	#19148627	C₂	1	2	yes	maximal, complemented
14	#19148539	C₂	1	4	yes	maximal, complemented
15	#19148529	C₂	1	4	yes	maximal, complemented
16	#19148436	C₂	1	2	yes	maximal, complemented
17	#19148434	C₂	1	2	yes	maximal, complemented
18	#19148359	C₂	1	2	yes	maximal, complemented
19	#19148352	C₂	1	2	yes	maximal, complemented
20	#19148330	C₂	1	4	yes	maximal, complemented
21	#19148318	C₂	1	4	yes	maximal, complemented
22	#19148233	C₂	1	4	yes	maximal, complemented
23	C₂×#14583449	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#14583433	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂×C₄₃×#529	C₂	1	1	yes	maximal, characteristic, complemented
26	C₂×#13063370	C₂²	1	4	yes	complemented
27	C₂²×#10621898	C₂²	1	2	yes	complemented
28	#14583653	C₂²	1	4	yes	complemented
29	#14583651	C₂²	1	8	yes	complemented
30	#14583647	C₂²	1	4	yes	complemented
31	#14583643	C₂²	1	4	yes	complemented
32	#14583641	C₂²	1	4	yes	complemented
33	#14583640	C₂²	1	8	yes	complemented
34	#14583634	C₂²	1	4	yes	complemented
35	#14583634	C₂²	1	2	yes	complemented
36	#14583631	C₂²	1	4	yes	complemented
37	Q₈×Dic₈₆	C₂²	1	2	yes	complemented
38	#14583614	C₂²	1	2	yes	complemented
39	#14583612	C₂²	1	8	yes	complemented
40	#14583609	C₂²	1	4	yes	complemented
41	#14583609	C₂²	1	2	yes	complemented
42	#14583606	C₂²	1	2	yes	complemented
43	#14583605	C₂²	1	4	yes	complemented
44	#14583602	C₂²	1	4	yes	complemented
45	#14583600	C₂²	1	8	yes	complemented
46	#14583598	C₂²	1	8	yes	complemented
47	#14583597	C₂²	1	8	yes	complemented
48	#14583597	C₂²	1	4	yes	complemented
49	#14583595	C₂²	1	4	yes	complemented
50	#14583595	C₂²	1	4	yes	complemented
51	#14583593	C₂²	1	8	yes	complemented
52	#14583591	C₂²	1	4	yes	complemented
53	#14583589	C₂²	1	4	yes	complemented
54	#14583578	C₂²	1	8	yes	complemented
55	#14583576	C₂²	1	8	yes	complemented
56	#14583574	C₂²	1	8	yes	complemented
57	#14583573	C₂²	1	8	yes	complemented
58	#14583573	C₂²	1	8	yes	complemented
59	#14583571	C₂²	1	2	yes	complemented
60	#14583570	C₂²	1	2	yes	complemented
61	#14583560	C₂²	1	4	yes	complemented
62	#14583558	C₂²	1	4	yes	complemented
63	#14583553	C₂²	1	4	yes	complemented
64	#14583553	C₂²	1	4	yes	complemented
65	#14583550	C₂²	1	8	yes	complemented
66	#14583550	C₂²	1	4	yes	complemented
67	#14583550	C₂²	1	8	yes	complemented
68	#14583549	C₂²	1	4	yes	complemented
69	#14583547	C₂²	1	8	yes	complemented
70	#14583547	C₂²	1	8	yes	complemented
71	#14583545	C₂²	1	4	yes	complemented
72	#14583545	C₂²	1	4	yes	complemented
73	#14583544	C₂²	1	8	yes	complemented
74	#14583544	C₂²	1	8	yes	complemented
75	#14583542	C₂²	1	4	yes	complemented
76	#14583541	C₂²	1	8	yes	complemented
77	#14583541	C₂²	1	8	yes	complemented
78	#14583540	C₂²	1	4	yes	complemented
79	#14583539	C₂²	1	8	yes	complemented
80	#14583539	C₂²	1	8	yes	complemented
81	#14583539	C₂²	1	8	yes	complemented
82	#14583538	C₂²	1	8	yes	complemented
83	D₄×D₁₇₂	C₂²	1	4	yes	complemented
84	D₄×D₁₇₂	C₂²	1	4	yes	complemented
85	D₄×D₁₇₂	C₂²	1	2	yes	complemented
86	#14583533	C₂²	1	4	yes	complemented
87	D₄×C₂²⋊D₄₃	C₂²	1	4	yes	complemented
88	#14583529	C₂²	1	4	yes	complemented
89	#14583527	C₂²	1	4	yes	complemented
90	#14583521	C₂²	1	4	yes	complemented
91	#14583521	C₂²	1	8	yes	complemented
92	#14583520	C₂²	1	4	yes	complemented
93	#14583520	C₂²	1	4	yes	complemented
94	#14583518	C₂²	1	4	yes	complemented
95	#14583515	C₂²	1	8	yes	complemented
96	#14583505	C₂²	1	4	yes	complemented
97	#14583504	C₂²	1	4	yes	complemented
98	#14583504	C₂²	1	4	yes	complemented
99	#14583500	C₂²	1	4	yes	complemented
100	#14583498	C₂²	1	4	yes	complemented
101	#14583497	C₂²	1	8	yes	complemented
102	#14583496	C₂²	1	4	yes	complemented
103	#14583490	C₂²	1	8	yes	complemented
104	#14583489	C₂²	1	4	yes	complemented
105	#14583488	C₂²	1	8	yes	complemented
106	#14583488	C₂²	1	8	yes	complemented
107	#14583487	C₂²	1	4	yes	complemented
108	#14583483	C₂²	1	8	yes	complemented
109	#14583482	C₂²	1	8	yes	complemented
110	#14583480	C₂²	1	4	yes	complemented
111	#14583476	C₂²	1	4	yes	complemented
112	#14583471	C₂²	1	8	yes	complemented
113	#14583468	C₂²	1	4	yes	complemented
114	#14583467	C₂²	1	4	yes	complemented
115	#14583461	C₂²	1	4	yes	complemented
116	#14583461	C₂²	1	4	yes	complemented
117	#14583460	C₂²	1	8	yes	complemented
118	#14583458	C₂²	1	4	yes	complemented
119	#14583457	C₂²	1	4	yes	complemented
120	#14583449	C₂²	1	2	yes	complemented
121	#14583449	C₂²	1	2	yes	complemented
122	#14583449	C₂²	1	4	yes	complemented
123	#14583449	C₂²	1	2	yes	complemented
124	#14583449	C₂²	1	2	yes	complemented
125	#14583449	C₂²	1	2	yes	complemented
126	#14583449	C₂²	1	2	yes	complemented
127	#14583449	C₂²	1	2	yes	complemented
128	#14583449	C₂²	1	2	yes	complemented
129	#14583444	C₂²	1	4	yes	complemented
130	C₂×#13063325	C₂²	1	1	yes	characteristic, complemented
131	C₂×#13063322	C₂²	1	1	yes	characteristic, complemented
132	#14583435	C₂²	1	4	yes	complemented
133	#14583433	C₂²	1	2	yes	complemented
134	#14583433	C₂²	1	4	yes	complemented
135	#14583433	C₂²	1	2	yes	complemented
136	#14583433	C₂²	1	2	yes	complemented
137	#14583433	C₂²	1	2	yes	complemented
138	#14583433	C₂²	1	2	yes	complemented
139	#14583433	C₂²	1	2	yes	complemented
140	#14583433	C₂²	1	2	yes	complemented
141	#14583433	C₂²	1	2	yes	complemented
142	C₂×#13063319	C₂²	1	2	yes	complemented
143	C₂×#13063317	C₂²	1	1	yes	characteristic, complemented
144	C₂×#13063313	C₂²	1	1	yes	characteristic, complemented
145	C₂×#13063313	C₂²	1	2	yes	complemented
146	#14583412	C₂²	1	4	yes	complemented
147	#14583410	C₂²	1	4	yes	complemented
148	#14583407	C₂²	1	8	yes	complemented
149	C₂×#13063308	C₂²	1	2	yes	complemented
150	#123×D₄₃	C₂²	1	8	yes	complemented
151	C₂×#13063304	C₂²	1	1	yes	characteristic, complemented
152	C₂×#13063299	C₂²	1	1	yes	characteristic
153	C₂×#13063299	C₂²	1	4	yes	complemented
154	C₂×#13063299	C₂²	1	2	yes	complemented
155	C₂×#13063299	C₂²	1	2	yes	complemented
156	#121×D₄₃	C₂²	1	4	yes	complemented
157	#14583381	C₂²	1	4	yes	complemented
158	#14583379	C₂²	1	4	yes	complemented
159	#14583373	C₂²	1	4	yes	complemented
160	#14583372	C₂²	1	4	yes	complemented
161	#14583371	C₂²	1	4	yes	complemented
162	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
163	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
164	C₂×C₄×D₁₇₂	C₂²	1	2	yes	complemented
165	C₂×C₄×D₁₇₂	C₂²	1	2	yes	complemented
166	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
167	C₂×#13063282	C₂²	1	2	yes	complemented
168	C₄₃×#529	C₂²	1	2	yes	complemented
169	C₄₃×#529	C₂²	1	2	yes	complemented
170	C₄₃×#529	C₂²	1	2	yes	complemented
171	C₄₃×#529	C₂²	1	2	yes	complemented
172	C₄₃×#529	C₂²	1	2	yes	complemented
173	C₄₃×#529	C₂²	1	2	yes	complemented
174	C₄₃×#529	C₂²	1	2	yes	complemented
175	C₄₃×#529	C₂²	1	2	yes	complemented
176	C₂×#126×C₄₃	C₂²	1	2	yes	complemented
177	C₂×#125×C₄₃	C₂²	1	1	yes	characteristic, complemented
178	C₂×#124×C₄₃	C₂²	1	1	yes	characteristic, complemented
179	C₂×#123×C₄₃	C₂²	1	2	yes	complemented
180	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
181	C₂×#121×C₄₃	C₂²	1	1	yes	characteristic
182	C₂×C₄×Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
183	C₂×C₄×D₄×C₄₃	C₂²	1	2	yes	complemented
184	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
185	C₂×#117×C₄₃	C₂²	1	2	yes	complemented
186	C₂²×C₄²×C₄₃	C₂²	1	1	yes	characteristic, complemented
187	#13063370	—	4	16	no	—
188	C₂×#10621902	C₂³	1	4	yes	—
189	C₂×#10621898	—	4	8	no	—
190	C₂×#10621898	C₂³	1	4	yes	—
191	C₂×#10621898	C₂³	1	4	yes	—
192	C₂×#10621898	C₂³	1	4	yes	—
193	C₂×#10621898	C₂³	1	4	yes	—
194	C₂×#10621898	C₂³	1	4	yes	—
195	C₂×#10621898	C₂³	1	8	yes	—
196	C₂×#10621900	C₂³	1	8	yes	—
197	C₂×#10621900	C₂³	1	8	yes	—
198	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
199	C₂²×Dic₈₆	C₂³	1	2	yes	—
200	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
201	C₂²×D₁₇₂	C₂³	1	2	yes	—
202	C₂²×D₁₇₂	C₂³	1	2	yes	—
203	C₂²×D₁₇₂	C₂³	1	4	yes	—
204	C₂²×D₁₇₂	C₂³	1	2	yes	—
205	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
206	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
207	C₂²×C₂²⋊D₄₃	C₂³	1	8	yes	—
208	C₂×D₄×D₄₃	C₂³	1	4	yes	—
209	C₂×D₄×D₄₃	C₂³	1	8	yes	—
210	C₂×D₄×D₄₃	C₂³	1	8	yes	—
211	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
212	C₂²×C₄×D₄₃	C₂³	1	4	yes	—
213	#13063325	C₂³	1	4	yes	—
214	#13063325	C₂³	1	2	yes	—
215	#13063325	C₂³	1	2	yes	—
216	#13063325	C₂³	1	2	yes	—
217	#13063325	C₂³	1	2	yes	—
218	#13063324	C₂³	1	4	yes	—
219	#13063324	C₂³	1	8	yes	—
220	#13063324	C₂³	1	8	yes	—
221	#13063322	C₂³	1	2	yes	—
222	#13063322	C₂³	1	4	yes	—
223	#13063322	C₂³	1	2	yes	—
224	#13063322	C₂³	1	2	yes	—
225	#13063322	C₂³	1	2	yes	—
226	#13063321	C₂³	1	4	yes	—
227	#13063320	C₂³	1	8	yes	—
228	#13063320	C₂³	1	8	yes	—
229	#13063320	C₂³	1	8	yes	—
230	#13063320	C₂³	1	8	yes	—
231	#13063319	C₂³	1	4	yes	—
232	#13063319	C₂³	1	8	yes	—
233	#13063319	C₂³	1	4	yes	—
234	#13063319	C₂³	1	4	yes	—
235	#13063319	C₂³	1	4	yes	—
236	#13063318	C₂³	1	8	yes	—
237	#13063317	C₂³	1	4	yes	—
238	#13063317	C₂³	1	2	yes	—
239	#13063317	C₂³	1	2	yes	—
240	#13063317	C₂³	1	2	yes	—
241	#13063317	C₂³	1	2	yes	—
242	#13063316	C₂³	1	8	yes	—
243	#13063316	C₂³	1	4	yes	—
244	#13063315	C₂³	1	8	yes	—
245	#13063314	C₂³	1	8	yes	—
246	#13063314	C₂³	1	4	yes	—
247	#13063313	C₂³	1	4	yes	—
248	#13063313	C₂³	1	4	yes	—
249	#13063313	C₂³	1	8	yes	—
250	#13063313	C₂³	1	2	yes	—
251	#13063313	C₂³	1	2	yes	—
252	#13063313	C₂³	1	4	yes	—
253	#13063313	C₂³	1	2	yes	—
254	#13063313	C₂³	1	2	yes	—
255	#13063313	C₂³	1	4	yes	—
256	#13063313	C₂³	1	4	yes	—
257	#13063311	C₂³	1	8	yes	—
258	#13063311	C₂³	1	8	yes	—
259	#13063311	C₂³	1	8	yes	—
260	#13063311	C₂³	1	8	yes	—
261	#13063310	C₂³	1	8	yes	—
262	#13063310	C₂³	1	8	yes	—
263	#13063310	C₂³	1	8	yes	—
264	#13063310	C₂³	1	8	yes	—
265	#13063310	C₂³	1	8	yes	—
266	#13063310	C₂³	1	8	yes	—
267	#13063310	C₂³	1	8	yes	—
268	#13063310	C₂³	1	8	yes	—
269	#13063310	C₂³	1	8	yes	—
270	#13063309	C₂³	1	8	yes	—
271	#13063309	C₂³	1	8	yes	—
272	#13063309	C₂³	1	8	yes	—
273	#13063309	C₂³	1	8	yes	—
274	#13063308	C₂³	1	8	yes	—
275	#13063308	C₂³	1	4	yes	—
276	#13063308	C₂³	1	4	yes	—
277	#13063308	C₂³	1	4	yes	—
278	#13063308	C₂³	1	4	yes	—
279	#13063308	C₂³	1	8	yes	—
280	#13063307	C₂³	1	8	yes	—
281	#13063307	C₂³	1	8	yes	—
282	#13063307	C₂³	1	8	yes	—
283	#13063307	C₂³	1	8	yes	—
284	#13063306	C₂³	1	8	yes	—
285	#13063305	C₂³	1	8	yes	—
286	#13063305	C₂³	1	8	yes	—
287	#13063304	C₂³	1	4	yes	—
288	#13063304	C₂³	1	2	yes	—
289	#13063304	C₂³	1	2	yes	—
290	#13063304	C₂³	1	2	yes	—
291	#13063304	C₂³	1	2	yes	—
292	#13063303	C₂³	1	8	yes	—
293	#13063303	C₂³	1	8	yes	—
294	#13063303	C₂³	1	8	yes	—
295	#13063303	C₂³	1	8	yes	—
296	#13063303	C₂³	1	8	yes	—
297	#13063303	C₂³	1	8	yes	—
298	#13063302	C₂³	1	8	yes	—
299	#13063302	C₂³	1	8	yes	—
300	#13063302	C₂³	1	8	yes	—
301	#13063301	C₂³	1	8	yes	—
302	#13063301	C₂³	1	4	yes	—
303	#13063300	C₂³	1	4	yes	—
304	#13063300	C₂³	1	8	yes	—
305	#13063300	C₂³	1	8	yes	—
306	#13063300	C₂³	1	4	yes	—
307	#13063300	C₂³	1	8	yes	—
308	#13063300	C₂³	1	8	yes	—
309	#13063300	C₂³	1	8	yes	—
310	#13063299	C₂³	1	2	yes	—
311	#13063299	C₂³	1	4	yes	—
312	#13063299	C₂³	1	4	yes	—
313	#13063299	C₂³	1	4	yes	—
314	#13063299	C₂³	1	4	yes	—
315	#13063299	C₂³	1	8	yes	—
316	#13063299	C₂³	1	8	yes	—
317	#13063299	C₂³	1	4	yes	—
318	#13063299	C₂³	1	4	yes	—
319	#13063299	C₂³	1	8	yes	—
320	#13063299	C₂³	1	4	yes	—
321	#13063299	C₂³	1	4	yes	—
322	#13063299	C₂³	1	2	yes	—
323	#13063299	C₂³	1	2	yes	—
324	#13063299	C₂³	1	2	yes	—
325	#13063299	C₂³	1	4	yes	—
326	#13063299	C₂³	1	4	yes	—
327	#13063299	C₂³	1	4	yes	—
328	#13063298	C₂³	1	8	yes	—
329	#13063298	C₂³	1	8	yes	—
330	#13063298	C₂³	1	8	yes	—
331	#13063298	C₂³	1	8	yes	—
332	#13063298	C₂³	1	8	yes	—
333	#13063298	C₂³	1	8	yes	—
334	#13063298	C₂³	1	8	yes	—
335	#13063297	C₂³	1	8	yes	—
336	#13063297	C₂³	1	8	yes	—
337	#13063297	C₂³	1	8	yes	—
338	#13063296	C₂³	1	4	yes	—
339	#13063295	C₂³	1	8	yes	—
340	#13063295	C₂³	1	8	yes	—
341	#13063295	C₂³	1	8	yes	—
342	#13063295	C₂³	1	8	yes	—
343	#13063295	C₂³	1	8	yes	—
344	#13063295	C₂³	1	8	yes	—
345	#13063295	C₂³	1	8	yes	—
346	#13063294	C₂³	1	8	yes	—
347	#13063293	C₂³	1	8	yes	—
348	#13063293	C₂³	1	8	yes	—
349	Q₈×Dic₄₃	C₂³	1	4	yes	—
350	C₄×Dic₈₆	C₂³	1	4	yes	—
351	C₄×Dic₈₆	C₂³	1	2	yes	—
352	C₄×Dic₈₆	C₂³	1	2	yes	—
353	C₄×Dic₈₆	C₂³	1	2	yes	—
354	C₄×Dic₈₆	C₂³	1	2	yes	—
355	C₄×D₁₇₂	C₂³	1	4	yes	—
356	C₄×D₁₇₂	C₂³	1	4	yes	—
357	C₄×D₁₇₂	C₂³	1	4	yes	—
358	C₄×D₁₇₂	C₂³	1	2	yes	—
359	C₄×D₁₇₂	C₂³	1	4	yes	—
360	C₄×D₁₇₂	C₂³	1	8	yes	—
361	C₄×D₁₇₂	C₂³	1	4	yes	—
362	C₄×D₁₇₂	C₂³	1	4	yes	—
363	C₄×D₁₇₂	C₂³	1	2	yes	—
364	C₄×D₁₇₂	C₂³	1	4	yes	—
365	C₄×D₁₇₂	C₂³	1	4	yes	—
366	C₄×D₁₇₂	C₂³	1	2	yes	—
367	C₄×D₁₇₂	C₂³	1	4	yes	—
368	C₄×D₁₇₂	C₂³	1	2	yes	—
369	C₄×D₁₇₂	C₂³	1	4	yes	—
370	C₄×D₁₇₂	C₂³	1	4	yes	—
371	D₄×Dic₄₃	C₂³	1	4	yes	—
372	#13063287	C₂³	1	4	yes	—
373	#13063287	C₂³	1	8	yes	—
374	#13063287	C₂³	1	8	yes	—
375	#13063287	C₂³	1	8	yes	—
376	#13063287	C₂³	1	4	yes	—
377	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	—
378	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
379	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	—
380	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
381	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	—
382	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	—
383	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
384	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
385	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
386	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
387	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
388	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
389	#13063284	C₂³	1	4	yes	—
390	#13063283	C₂³	1	8	yes	—
391	#13063283	C₂³	1	4	yes	—
392	#13063282	C₂³	1	4	yes	—
393	#13063282	C₂³	1	8	yes	—
394	#13063282	C₂³	1	4	yes	—
395	#13063282	C₂³	1	4	yes	—
396	#13063282	C₂³	1	4	yes	—
397	#13063281	C₂³	1	8	yes	—
398	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
399	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
400	C₂×C₄⋊Dic₄₃	C₂³	1	4	yes	—
401	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
402	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
403	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
404	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
405	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
406	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
407	C₄⋊C₄×D₄₃	C₂³	1	8	yes	—
408	C₄⋊C₄×D₄₃	C₂³	1	8	yes	—
409	C₄⋊C₄×D₄₃	C₂³	1	4	yes	—
410	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
411	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	8	yes	—
412	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
413	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
414	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
415	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
416	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
417	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
418	C₂²⋊C₄×D₄₃	C₂³	1	8	yes	—
419	C₂²⋊C₄×D₄₃	C₂³	1	8	yes	—
420	C₂²⋊C₄×D₄₃	C₂³	1	8	yes	—
421	C₂²⋊C₄×D₄₃	C₂³	1	8	yes	—
422	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
423	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
424	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
425	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
426	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
427	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
428	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
429	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
430	#126×C₄₃	C₂³	1	4	yes	—
431	#126×C₄₃	C₂³	1	4	yes	—
432	#126×C₄₃	C₂³	1	4	yes	—
433	#126×C₄₃	C₂³	1	4	yes	—
434	#125×C₄₃	C₂³	1	2	yes	—
435	#125×C₄₃	C₂³	1	2	yes	—
436	#125×C₄₃	C₂³	1	2	yes	—
437	#125×C₄₃	C₂³	1	2	yes	—
438	#124×C₄₃	C₂³	1	2	yes	—
439	#124×C₄₃	C₂³	1	2	yes	—
440	#124×C₄₃	C₂³	1	2	yes	—
441	#124×C₄₃	C₂³	1	2	yes	—
442	#123×C₄₃	C₂³	1	4	yes	—
443	#123×C₄₃	C₂³	1	4	yes	—
444	#123×C₄₃	C₂³	1	4	yes	—
445	#123×C₄₃	C₂³	1	4	yes	—
446	C₂²⋊Q₈×C₄₃	C₂³	1	2	yes	—
447	C₂²⋊Q₈×C₄₃	C₂³	1	2	yes	—
448	C₂²⋊Q₈×C₄₃	C₂³	1	2	yes	—
449	C₂²⋊Q₈×C₄₃	C₂³	1	2	yes	—
450	#121×C₄₃	C₂³	1	2	yes	—
451	#121×C₄₃	C₂³	1	2	yes	—
452	#121×C₄₃	C₂³	1	2	yes	—
453	#121×C₄₃	C₂³	1	2	yes	—
454	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
455	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
456	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
457	C₄×Q₈×C₄₃	C₂³	1	2	yes	—
458	C₄×D₄×C₄₃	C₂³	1	4	yes	—
459	C₄×D₄×C₄₃	C₂³	1	4	yes	—
460	C₄×D₄×C₄₃	C₂³	1	2	yes	—
461	C₄×D₄×C₄₃	C₂³	1	4	yes	—
462	C₄×D₄×C₄₃	C₂³	1	2	yes	—
463	C₄×D₄×C₄₃	C₂³	1	4	yes	—
464	C₄×D₄×C₄₃	C₂³	1	2	yes	—
465	C₄×D₄×C₄₃	C₂³	1	2	yes	—
466	#117×C₄₃	C₂³	1	4	yes	—
467	#117×C₄₃	C₂³	1	4	yes	—
468	#117×C₄₃	C₂³	1	4	yes	—
469	#117×C₄₃	C₂³	1	4	yes	—
470	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
471	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
472	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
473	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
474	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
475	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
476	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
477	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
478	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
479	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
480	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
481	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
482	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
483	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
484	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
485	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
486	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
487	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
488	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
489	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
490	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
491	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
492	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
493	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
494	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
495	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
496	C₂³×D₄₃	C₂⁴	1	4	yes	—
497	C₂³×D₄₃	C₂⁴	1	2	yes	—
498	C₂³×D₄₃	C₂⁴	1	8	yes	—
499	C₂×Q₈×C₄₃	—	4	2	no	—
500	C₂×Q₈×C₄₃	C₂⁴	1	2	yes	—
501	C₂×Q₈×C₄₃	C₂⁴	1	2	yes	—
502	C₂×D₄×C₄₃	—	2	8	no	—
503	C₂×D₄×C₄₃	—	4	2	no	—
504	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
505	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
506	C₂×D₄×C₄₃	C₂⁴	1	2	yes	—
507	C₂×D₄×C₄₃	C₂⁴	1	2	yes	—
508	C₂²×C₄×C₄₃	—	2	4	no	—
509	C₂²×C₄×C₄₃	—	4	2	no	—
510	C₂²×C₄×C₄₃	—	4	2	no	—
511	C₂²×C₄×C₄₃	—	4	4	no	—
512	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
513	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
514	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
515	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
516	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
517	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
518	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
519	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
520	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
521	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
522	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
523	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
524	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
525	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
526	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
527	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
528	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
529	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
530	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
531	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
532	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
533	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
534	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
535	C₂×C₂²⋊D₄₃	—	2	16	no	—
536	C₂×C₂²⋊D₄₃	—	2	8	no	—
537	C₂×C₂²⋊D₄₃	—	4	16	no	—
538	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
539	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
540	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
541	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
542	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
543	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
544	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
545	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
546	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
547	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
548	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
549	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
550	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
551	#10621902	—	4	8	no	—
552	#10621900	—	4	16	no	—
553	#10621900	—	4	16	no	—
554	D₄×D₄₃	—	4	16	no	—
555	D₄×D₄₃	—	4	16	no	—
556	D₄×D₄₃	—	4	8	no	—
557	#10621898	—	4	8	no	—
558	#10621898	—	4	8	no	—
559	#10621898	—	4	8	no	—
560	#10621898	—	4	8	no	—
561	#10621898	—	4	8	no	—
562	#10621898	—	4	16	no	—
563	C₂×D₁₇₂	—	4	4	no	—
564	C₂×D₁₇₂	—	4	2	no	—
565	C₂×D₁₇₂	—	4	4	no	—
566	C₂×D₁₇₂	—	4	4	no	—
567	C₂×D₁₇₂	—	4	8	no	—
568	C₂×D₁₇₂	C₂⁴	1	4	yes	—
569	C₂×D₁₇₂	C₂⁴	1	2	yes	—
570	C₂×D₁₇₂	C₂⁴	1	4	yes	—
571	C₂×D₁₇₂	C₂⁴	1	8	yes	—
572	C₂×D₁₇₂	C₂⁴	1	8	yes	—
573	C₂×D₁₇₂	C₂⁴	1	2	yes	—
574	C₂×D₁₇₂	C₂⁴	1	4	yes	—
575	C₂×D₁₇₂	C₂⁴	1	4	yes	—
576	C₂×D₁₇₂	C₂⁴	1	4	yes	—
577	C₂×D₁₇₂	C₂⁴	1	4	yes	—
578	C₂×D₁₇₂	C₂⁴	1	8	yes	—
579	C₂×C₄×D₄₃	—	4	8	no	—
580	C₂×C₄×D₄₃	—	4	4	no	—
581	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
582	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
583	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
584	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
585	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
586	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
587	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
588	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
589	C₂×Dic₈₆	—	4	2	no	—
590	C₂×Dic₈₆	—	4	4	no	—
591	C₂×Dic₈₆	C₂⁴	1	2	yes	—
592	C₂×Dic₈₆	C₂⁴	1	2	yes	—
593	C₂×Dic₈₆	C₂⁴	1	4	yes	—
594	C₂×Dic₈₆	C₂⁴	1	4	yes	—
595	C₂×Dic₈₆	C₂⁴	1	8	yes	—
596	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
597	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
598	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
599	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
600	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
601	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
602	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
603	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
604	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
605	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
606	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
607	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
608	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
609	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
610	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
611	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
612	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
613	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
614	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
615	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
616	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
617	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
618	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
619	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
620	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
621	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
622	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
623	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
624	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
625	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
626	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
627	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
628	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
629	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
630	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
631	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
632	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
633	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
634	C₄²×C₄₃	C₂⁴	1	4	yes	—
635	C₄²×C₄₃	C₂⁴	1	4	yes	—
636	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
637	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
638	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
639	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
640	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
641	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
642	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
643	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
644	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
645	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
646	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
647	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
648	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
649	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
650	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
651	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
652	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
653	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
654	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
655	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
656	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
657	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
658	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
659	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
660	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
661	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
662	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
663	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
664	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
665	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
666	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
667	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
668	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
669	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
670	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
671	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
672	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
673	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
674	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
675	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
676	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
677	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
678	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
679	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
680	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
681	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
682	C₄×Dic₄₃	C₂⁴	1	4	yes	—
683	C₄×Dic₄₃	C₂⁴	1	4	yes	—
684	C₄×Dic₄₃	C₂⁴	1	8	yes	—
685	C₄×Dic₄₃	C₂⁴	1	8	yes	—
686	C₂³×C₄₃	—	2	4	no	—
687	C₂³×C₄₃	—	4	1	no	—
688	C₂³×C₄₃	—	4	1	no	—
689	C₂³×C₄₃	—	4	2	no	—
690	C₂³×C₄₃	—	4	2	no	—
691	C₂³×C₄₃	H(5,𝔽₂)	1	4	yes	—
692	C₂³×C₄₃	C₂⁵	1	4	yes	—
693	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
694	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
695	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
696	C₂²×D₄₃	—	2	8	no	—
697	C₂²×D₄₃	—	2	4	no	—
698	C₂²×D₄₃	—	4	2	no	—
699	C₂²×D₄₃	—	4	2	no	—
700	C₂²×D₄₃	—	4	4	no	—
701	C₂²×D₄₃	—	4	4	no	—
702	C₂²×D₄₃	—	4	8	no	—
703	C₂²×D₄₃	—	4	8	no	—
704	C₂²×D₄₃	—	4	8	no	—
705	C₂²×D₄₃	C₂⁵	1	4	yes	—
706	C₂²×D₄₃	C₂⁵	1	8	yes	—
707	Q₈×C₄₃	—	2	4	no	—
708	Q₈×C₄₃	—	4	2	no	—
709	D₄×C₄₃	—	2	8	no	—
710	D₄×C₄₃	—	2	8	no	—
711	D₄×C₄₃	—	2	4	no	—
712	D₄×C₄₃	—	4	2	no	—
713	C₂×C₄×C₄₃	—	2	2	no	—
714	C₂×C₄×C₄₃	—	2	2	no	—
715	C₂×C₄×C₄₃	—	2	2	no	—
716	C₂×C₄×C₄₃	—	2	2	no	—
717	C₂×C₄×C₄₃	—	2	2	no	—
718	C₂×C₄×C₄₃	—	2	2	no	—
719	C₂×C₄×C₄₃	—	2	4	no	—
720	C₂×C₄×C₄₃	—	2	2	no	—
721	C₂×C₄×C₄₃	—	2	2	no	—
722	C₂×C₄×C₄₃	—	2	2	no	—
723	C₂×C₄×C₄₃	—	2	2	no	—
724	C₂×C₄×C₄₃	—	2	8	no	—
725	C₂×C₄×C₄₃	—	2	2	no	—
726	C₂×C₄×C₄₃	—	2	2	no	—
727	C₂×C₄×C₄₃	—	4	1	no	—
728	C₂×C₄×C₄₃	—	4	1	no	—
729	C₂×C₄×C₄₃	—	4	1	no	—
730	C₂×C₄×C₄₃	—	4	1	no	—
731	C₂×C₄×C₄₃	—	4	2	no	—
732	C₂×C₄×C₄₃	—	4	4	no	—
733	C₂×C₄×C₄₃	—	4	1	no	—
734	C₂×C₄×C₄₃	—	4	1	no	—
735	C₂×C₄×C₄₃	—	4	2	no	—
736	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
737	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
738	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
739	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
740	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
741	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
742	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
743	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
744	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
745	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
746	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
747	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
748	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
749	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
750	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
751	C₂²⋊D₄₃	—	2	16	no	—
752	C₂²⋊D₄₃	—	2	16	no	—
753	C₂²⋊D₄₃	—	2	8	no	—
754	C₂²⋊D₄₃	—	2	8	no	—
755	C₂²⋊D₄₃	—	4	8	no	—
756	C₂²⋊D₄₃	—	4	8	no	—
757	C₂²⋊D₄₃	—	4	8	no	—
758	C₂²⋊D₄₃	—	4	8	no	—
759	C₂×Dic₄₃	—	2	8	no	—
760	C₂×Dic₄₃	—	2	4	no	—
761	C₂×Dic₄₃	—	4	2	no	—
762	C₂×Dic₄₃	—	4	2	no	—
763	C₂×Dic₄₃	—	4	8	no	—
764	C₂×Dic₄₃	C₂⁵	1	4	yes	—
765	C₂×Dic₄₃	C₂⁵	1	4	yes	—
766	C₂×Dic₄₃	C₂⁵	1	4	yes	—
767	C₂×Dic₄₃	C₂⁵	1	8	yes	—
768	D₁₇₂	—	2	4	no	—
769	D₁₇₂	—	2	8	no	—
770	D₁₇₂	—	2	8	no	—
771	D₁₇₂	—	4	2	no	—
772	D₁₇₂	—	4	8	no	—
773	D₁₇₂	—	4	4	no	—
774	D₁₇₂	—	4	4	no	—
775	D₁₇₂	—	4	4	no	—
776	D₁₇₂	—	4	4	no	—
777	D₁₇₂	—	4	8	no	—
778	D₁₇₂	—	4	8	no	—
779	C₄×D₄₃	—	2	8	no	—
780	C₄×D₄₃	—	4	4	no	—
781	C₄×D₄₃	—	4	8	no	—
782	C₄×D₄₃	—	4	8	no	—
783	C₄×D₄₃	—	4	8	no	—
784	C₄×D₄₃	—	4	8	no	—
785	C₄×D₄₃	—	4	8	no	—
786	C₄×D₄₃	—	4	8	no	—
787	Dic₈₆	—	2	4	no	—
788	Dic₈₆	—	4	2	no	—
789	Dic₈₆	—	4	4	no	—
790	Dic₈₆	—	4	4	no	—
791	Dic₈₆	—	4	8	no	—
792	#62822	—	43	1	no	maximal, Sylow
793	C₂²×C₄₃	—	2	1	no	—
794	C₂²×C₄₃	—	2	1	no	—
795	C₂²×C₄₃	—	2	1	no	—
796	C₂²×C₄₃	—	2	1	no	—
797	C₂²×C₄₃	—	2	1	no	—
798	C₂²×C₄₃	—	2	1	no	—
799	C₂²×C₄₃	—	2	4	no	—
800	C₂²×C₄₃	—	2	4	no	—
801	C₂²×C₄₃	—	2	4	no	—
802	C₂²×C₄₃	—	4	4	no	—
803	C₂²×C₄₃	—	8	4	no	—
804	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
805	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
806	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
807	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
808	C₂×D₄₃	—	2	4	no	—
809	C₂×D₄₃	—	2	8	no	—
810	C₂×D₄₃	—	2	4	no	—
811	C₂×D₄₃	—	2	4	no	—
812	C₂×D₄₃	—	2	8	no	—
813	C₂×D₄₃	—	2	8	no	—
814	C₂×D₄₃	—	8	8	no	—
815	C₂×D₄₃	—	8	4	no	—
816	C₂×D₄₃	—	16	8	no	—
817	C₄×C₄₃	—	2	1	no	—
818	C₄×C₄₃	—	2	1	no	—
819	C₄×C₄₃	—	2	4	no	—
820	C₄×C₄₃	—	2	1	no	—
821	C₄×C₄₃	—	2	1	no	—
822	C₄×C₄₃	—	2	1	no	—
823	C₄×C₄₃	—	2	1	no	—
824	C₄×C₄₃	—	2	4	no	—
825	C₄×C₄₃	—	2	4	no	—
826	C₄×C₄₃	—	2	1	no	—
827	C₄×C₄₃	—	2	1	no	—
828	C₄×C₄₃	—	2	1	no	—
829	C₄×C₄₃	—	2	1	no	—
830	C₄×C₄₃	#585	1	2	yes	—
831	C₄×C₄₃	#585	1	2	yes	—
832	Dic₄₃	—	2	8	no	—
833	Dic₄₃	—	2	4	no	—
834	Dic₄₃	—	2	4	no	—
835	Dic₄₃	—	2	4	no	—
836	#3560	—	43	4	no	—
837	#3560	—	43	4	no	—
838	#3559	—	43	2	no	—
839	#3559	—	43	2	no	—
840	#3558	—	43	2	no	—
841	#3558	—	43	2	no	—
842	#3545	—	43	4	no	—
843	#3544	—	43	2	no	—
844	#3543	—	43	2	no	—
845	#3522	—	43	2	no	—
846	#3522	—	43	2	no	—
847	#3519	—	43	2	no	—
848	#3519	—	43	2	no	—
849	#3513	—	43	4	no	—
850	#3513	—	43	4	no	—
851	#3505	—	43	2	no	—
852	#3505	—	43	2	no	—
853	#3496	—	43	2	no	—
854	#3496	—	43	2	no	—
855	#3494	—	43	4	no	—
856	#3494	—	43	4	no	—
857	#3485	—	43	4	no	—
858	C₂×#532	—	43	1	no	—
859	C₂×#529	—	43	1	no	—
860	C₂×#529	D₄₃	1	1	yes	characteristic, complemented
861	C₂×C₄₃	—	2	2	no	—
862	C₂×C₄₃	—	2	2	no	—
863	C₂×C₄₃	—	2	2	no	—
864	C₂×C₄₃	—	4	4	no	—
865	C₂×C₄₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
866	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
867	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
868	D₄₃	—	4	8	no	—
869	D₄₃	—	4	4	no	—
870	C₂×H(5,𝔽₂)	—	43	4	no	—
871	C₂²×#41	—	43	2	no	—
872	#563	—	43	8	no	—
873	#563	—	43	4	no	—
874	#562	—	43	4	no	—
875	#562	—	43	4	no	—
876	H(3,𝔽₄)	—	43	4	no	—
877	#560	—	43	8	no	—
878	#559	—	43	4	no	—
879	#559	—	43	4	no	—
880	#559	—	43	2	no	—
881	Q₈²	—	43	2	no	—
882	#555	—	43	2	no	—
883	#555	—	43	8	no	—
884	#554	—	43	4	no	—
885	#554	—	43	4	no	—
886	#554	—	43	2	no	—
887	#554	—	43	2	no	—
888	#553	—	43	8	no	—
889	#553	—	43	4	no	—
890	#553	—	43	4	no	—
891	#553	—	43	4	no	—
892	#553	—	43	8	no	—
893	#553	—	43	8	no	—
894	#553	—	43	8	no	—
895	#553	—	43	4	no	—
896	#552	—	43	4	no	—
897	#552	—	43	4	no	—
898	#551	—	43	8	no	—
899	#551	—	43	8	no	—
900	#551	—	43	8	no	—
901	#551	—	43	8	no	—
902	#551	—	43	8	no	—
903	#550	—	43	2	no	—
904	#550	—	43	2	no	—
905	#548	—	43	4	no	—
906	#548	—	43	4	no	—
907	#547	—	43	8	no	—
908	#547	—	43	8	no	—
909	#547	—	43	4	no	—
910	#547	—	43	4	no	—
911	#547	—	43	4	no	—
912	#547	—	43	8	no	—
913	#547	—	43	8	no	—
914	#547	—	43	4	no	—
915	#546	—	43	4	no	—
916	#546	—	43	8	no	—
917	#546	—	43	8	no	—
918	#546	—	43	4	no	—
919	#546	—	43	8	no	—
920	#546	—	43	8	no	—
921	#546	—	43	8	no	—
922	#546	—	43	4	no	—
923	#546	—	43	4	no	—
924	#546	—	43	8	no	—
925	#546	—	43	8	no	—
926	#546	—	43	8	no	—
927	D₄²	—	43	4	no	—
928	D₄²	—	43	4	no	—
929	D₄²	—	43	4	no	—
930	D₄²	—	43	4	no	—
931	D₄²	—	43	2	no	—
932	#544	—	43	4	no	—
933	#544	—	43	4	no	—
934	#542	—	43	8	no	—
935	#542	—	43	4	no	—
936	#542	—	43	4	no	—
937	#542	—	43	8	no	—
938	#542	—	43	4	no	—
939	#542	—	43	4	no	—
940	#540	—	43	4	no	—
941	#540	—	43	4	no	—
942	#540	—	43	4	no	—
943	#540	—	43	4	no	—
944	#539	—	43	8	no	—
945	#539	—	43	8	no	—
946	#539	—	43	4	no	—
947	#539	—	43	4	no	—
948	#538	—	43	8	no	—
949	#538	—	43	8	no	—
950	#538	—	43	8	no	—
951	#538	—	43	4	no	—
952	#538	—	43	8	no	—
953	#538	—	43	4	no	—
954	#537	—	43	4	no	—
955	#537	—	43	4	no	—
956	#536	—	43	8	no	—
957	#535	—	43	4	no	—
958	#535	—	43	4	no	—
959	#534	—	43	4	no	—
960	#534	—	43	8	no	—
961	#534	—	43	4	no	—
962	#534	—	43	4	no	—
963	#534	—	43	4	no	—
964	#532	—	43	4	no	—
965	#532	—	43	2	no	—
966	#532	—	43	2	no	—
967	#532	—	43	2	no	—
968	#532	—	43	2	no	—
969	#532	—	43	2	no	—
970	#532	—	43	2	no	—
971	#532	—	43	2	no	—
972	#532	—	43	2	no	—
973	#532	—	43	4	no	—
974	C₂×C₄⋊Q₈	—	43	1	no	—
975	C₂×#127	—	43	1	no	—
976	#529	—	43	4	no	—
977	#529	—	43	2	no	—
978	#529	—	43	2	no	—
979	#529	—	43	2	no	—
980	#529	—	43	2	no	—
981	#529	—	43	2	no	—
982	#529	—	43	2	no	—
983	#529	—	43	2	no	—
984	#529	—	43	2	no	—
985	#529	—	43	4	no	—
986	#529	C₂×D₄₃	1	2	yes	complemented
987	#529	C₂×D₄₃	1	2	yes	complemented
988	#529	C₂×D₄₃	1	2	yes	complemented
989	#529	C₂×D₄₃	1	2	yes	complemented
990	#529	C₂×D₄₃	1	2	yes	complemented
991	#529	C₂×D₄₃	1	2	yes	complemented
992	#529	C₂×D₄₃	1	2	yes	complemented
993	#529	C₂×D₄₃	1	2	yes	complemented
994	C₂×#126	—	43	2	no	—
995	C₂×#126	C₂×D₄₃	1	2	yes	complemented
996	C₂×#125	—	43	1	no	—
997	C₂×#125	C₂×D₄₃	1	1	yes	characteristic, complemented
998	C₂×#124	—	43	1	no	—
999	C₂×#124	—	43	2	no	—
1000	C₂×#124	C₂×D₄₃	1	1	yes	characteristic, complemented
1001	#525	—	43	4	no	—
1002	#525	—	43	8	no	—
1003	#525	—	43	4	no	—
1004	C₂×#123	—	43	2	no	—
1005	C₂×#123	—	43	8	no	—
1006	C₂×#123	C₂×D₄₃	1	2	yes	complemented
1007	C₂×C₂²⋊Q₈	—	43	1	no	—
1008	C₂×C₂²⋊Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
1009	C₂×#121	—	43	1	no	—
1010	C₂×#121	—	43	2	no	—
1011	C₂×#121	—	43	2	no	—
1012	C₂×#121	—	43	4	no	—
1013	C₂×#121	—	43	4	no	—
1014	C₂×#121	C₂×D₄₃	1	1	yes	characteristic
1015	#520	—	43	4	no	—
1016	#520	—	43	4	no	—
1017	#518	—	43	4	no	—
1018	#518	—	43	4	no	—
1019	#518	—	43	4	no	—
1020	C₂×C₄×Q₈	—	43	1	no	—
1021	C₂×C₄×Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
1022	C₂×C₄×D₄	—	43	2	no	—
1023	C₂×C₄×D₄	—	43	1	no	—
1024	C₂×C₄×D₄	—	43	2	no	—
1025	C₂×C₄×D₄	—	43	2	no	—
1026	C₂×C₄×D₄	C₂×D₄₃	1	2	yes	complemented
1027	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic, complemented
1028	C₂×#117	—	43	2	no	—
1029	C₂×#117	C₂×D₄₃	1	2	yes	complemented
1030	C₂²×C₄²	C₂×D₄₃	1	1	yes	characteristic, complemented
1031	C₄₃	#62822	1	1	yes	characteristic, complemented, Sylow
1032	H(5,𝔽₂)	—	172	16	no	—
1033	C₂×#41	—	43	4	no	—
1034	C₂×#41	—	43	8	no	—
1035	C₂×#41	—	43	8	no	—
1036	C₂×#41	—	43	4	no	—
1037	C₂×#41	—	43	4	no	—
1038	C₂×#41	—	43	4	no	—
1039	C₂×#41	—	43	4	no	—
1040	C₂×#41	—	43	4	no	—
1041	C₂×#41	—	43	8	no	—
1042	C₂×#41	—	172	8	no	—
1043	C₂²×Q₈	—	43	1	no	—
1044	C₂²×Q₈	—	43	2	no	—
1045	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
1046	C₂²×D₄	—	43	2	no	—
1047	C₂²×D₄	—	43	4	no	—
1048	C₂²×D₄	—	43	8	no	—
1049	C₂²×D₄	—	43	4	no	—
1050	C₂²×D₄	—	43	8	no	—
1051	C₂²×D₄	—	43	8	no	—
1052	C₂²×D₄	—	43	1	no	—
1053	C₂²×D₄	—	43	2	no	—
1054	C₂²×D₄	—	43	2	no	—
1055	C₂²×D₄	—	43	4	no	—
1056	C₂²×D₄	—	43	2	no	—
1057	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
1058	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
1059	C₂³×C₄	—	43	2	no	—
1060	C₂³×C₄	—	43	4	no	—
1061	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1062	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
1063	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1064	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1065	C₄⋊Q₈	—	43	4	no	—
1066	C₄⋊Q₈	—	43	8	no	—
1067	C₄⋊Q₈	—	43	8	no	—
1068	C₄⋊Q₈	—	43	2	no	—
1069	C₄⋊Q₈	—	43	2	no	—
1070	C₄⋊Q₈	—	43	2	no	—
1071	C₄⋊Q₈	—	43	2	no	—
1072	C₄⋊Q₈	—	43	4	no	—
1073	#127	—	43	4	no	—
1074	#127	—	43	2	no	—
1075	#127	—	43	2	no	—
1076	#127	—	43	2	no	—
1077	#127	—	43	2	no	—
1078	#127	—	43	4	no	—
1079	#126	—	43	8	no	—
1080	#126	—	43	8	no	—
1081	#126	—	43	8	no	—
1082	#126	—	43	8	no	—
1083	#126	—	43	8	no	—
1084	#126	—	43	4	no	—
1085	#126	—	43	4	no	—
1086	#126	—	43	4	no	—
1087	#126	—	43	4	no	—
1088	#126	—	43	8	no	—
1089	#126	C₂²×D₄₃	1	4	yes	—
1090	#126	C₂²×D₄₃	1	4	yes	—
1091	#126	C₂²×D₄₃	1	4	yes	—
1092	#126	C₂²×D₄₃	1	4	yes	—
1093	#125	—	43	4	no	—
1094	#125	—	43	8	no	—
1095	#125	—	43	8	no	—
1096	#125	—	43	2	no	—
1097	#125	—	43	2	no	—
1098	#125	—	43	2	no	—
1099	#125	—	43	2	no	—
1100	#125	—	43	4	no	—
1101	#125	C₂²×D₄₃	1	2	yes	—
1102	#125	C₂²×D₄₃	1	2	yes	—
1103	#125	C₂²×D₄₃	1	2	yes	—
1104	#125	C₂²×D₄₃	1	2	yes	—
1105	#124	—	43	4	no	—
1106	#124	—	43	8	no	—
1107	#124	—	43	8	no	—
1108	#124	—	43	8	no	—
1109	#124	—	43	8	no	—
1110	#124	—	43	8	no	—
1111	#124	—	43	2	no	—
1112	#124	—	43	2	no	—
1113	#124	—	43	2	no	—
1114	#124	—	43	2	no	—
1115	#124	—	43	4	no	—
1116	#124	—	43	4	no	—
1117	#124	—	43	4	no	—
1118	#124	—	43	4	no	—
1119	#124	—	43	4	no	—
1120	#124	—	43	8	no	—
1121	#124	C₂²×D₄₃	1	2	yes	—
1122	#124	C₂²×D₄₃	1	2	yes	—
1123	#124	C₂²×D₄₃	1	2	yes	—
1124	#124	C₂²×D₄₃	1	2	yes	—
1125	#123	—	43	8	no	—
1126	#123	—	43	4	no	—
1127	#123	—	43	4	no	—
1128	#123	—	43	4	no	—
1129	#123	—	43	4	no	—
1130	#123	—	43	8	no	—
1131	#123	—	43	8	no	—
1132	#123	—	43	8	no	—
1133	#123	—	43	8	no	—
1134	#123	—	43	8	no	—
1135	#123	—	43	8	no	—
1136	#123	—	43	8	no	—
1137	#123	—	43	8	no	—
1138	#123	—	43	8	no	—
1139	#123	—	43	8	no	—
1140	#123	—	43	8	no	—
1141	#123	—	43	8	no	—
1142	#123	—	43	8	no	—
1143	#123	—	43	8	no	—
1144	#123	—	43	8	no	—
1145	#123	—	43	8	no	—
1146	#123	—	43	8	no	—
1147	#123	—	43	8	no	—
1148	#123	—	43	8	no	—
1149	#123	C₂²×D₄₃	1	4	yes	—
1150	#123	C₂²×D₄₃	1	4	yes	—
1151	#123	C₂²×D₄₃	1	4	yes	—
1152	#123	C₂²×D₄₃	1	4	yes	—
1153	C₂²⋊Q₈	—	43	4	no	—
1154	C₂²⋊Q₈	—	43	8	no	—
1155	C₂²⋊Q₈	—	43	2	no	—
1156	C₂²⋊Q₈	—	43	2	no	—
1157	C₂²⋊Q₈	—	43	2	no	—
1158	C₂²⋊Q₈	—	43	2	no	—
1159	C₂²⋊Q₈	—	43	4	no	—
1160	C₂²⋊Q₈	—	43	8	no	—
1161	C₂²⋊Q₈	—	43	8	no	—
1162	C₂²⋊Q₈	—	43	8	no	—
1163	C₂²⋊Q₈	—	43	8	no	—
1164	C₂²⋊Q₈	—	43	8	no	—
1165	C₂²⋊Q₈	—	43	8	no	—
1166	C₂²⋊Q₈	—	43	8	no	—
1167	C₂²⋊Q₈	—	43	8	no	—
1168	C₂²⋊Q₈	—	43	8	no	—
1169	C₂²⋊Q₈	—	43	8	no	—
1170	C₂²⋊Q₈	—	43	8	no	—
1171	C₂²⋊Q₈	C₂²×D₄₃	1	2	yes	—
1172	C₂²⋊Q₈	C₂²×D₄₃	1	2	yes	—
1173	C₂²⋊Q₈	C₂²×D₄₃	1	2	yes	—
1174	C₂²⋊Q₈	C₂²×D₄₃	1	2	yes	—
1175	#121	—	43	8	no	—
1176	#121	—	43	4	no	—
1177	#121	—	43	8	no	—
1178	#121	—	43	8	no	—
1179	#121	—	43	2	no	—
1180	#121	—	43	4	no	—
1181	#121	—	43	4	no	—
1182	#121	—	43	2	no	—
1183	#121	—	43	2	no	—
1184	#121	—	43	2	no	—
1185	#121	—	43	4	no	—
1186	#121	—	43	4	no	—
1187	#121	—	43	4	no	—
1188	#121	—	43	4	no	—
1189	#121	—	43	4	no	—
1190	#121	—	43	4	no	—
1191	#121	—	43	8	no	—
1192	#121	—	43	8	no	—
1193	#121	—	43	4	no	—
1194	#121	—	43	4	no	—
1195	#121	—	43	4	no	—
1196	#121	—	43	8	no	—
1197	#121	—	43	4	no	—
1198	#121	—	43	4	no	—
1199	#121	—	43	8	no	—
1200	#121	—	43	8	no	—
1201	#121	—	43	8	no	—
1202	#121	—	43	8	no	—
1203	#121	—	43	8	no	—
1204	#121	—	43	8	no	—
1205	#121	—	43	8	no	—
1206	#121	—	43	8	no	—
1207	#121	—	43	8	no	—
1208	#121	—	43	8	no	—
1209	#121	—	43	8	no	—
1210	#121	—	43	8	no	—
1211	#121	C₂²×D₄₃	1	2	yes	—
1212	#121	C₂²×D₄₃	1	2	yes	—
1213	#121	C₂²×D₄₃	1	2	yes	—
1214	#121	C₂²×D₄₃	1	2	yes	—
1215	#120	—	43	8	no	—
1216	#120	—	43	8	no	—
1217	#120	—	43	8	no	—
1218	#120	—	43	8	no	—
1219	#120	—	43	8	no	—
1220	#120	—	43	8	no	—
1221	#120	—	43	8	no	—
1222	#120	—	43	8	no	—
1223	#120	—	43	8	no	—
1224	#120	—	43	8	no	—
1225	C₄×Q₈	—	43	4	no	—
1226	C₄×Q₈	—	43	2	no	—
1227	C₄×Q₈	—	43	2	no	—
1228	C₄×Q₈	—	43	2	no	—
1229	C₄×Q₈	—	43	2	no	—
1230	C₄×Q₈	—	43	4	no	—
1231	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
1232	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
1233	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
1234	C₄×Q₈	C₂²×D₄₃	1	2	yes	—
1235	C₄×D₄	—	43	4	no	—
1236	C₄×D₄	—	43	4	no	—
1237	C₄×D₄	—	43	4	no	—
1238	C₄×D₄	—	43	4	no	—
1239	C₄×D₄	—	43	4	no	—
1240	C₄×D₄	—	43	8	no	—
1241	C₄×D₄	—	43	8	no	—
1242	C₄×D₄	—	43	8	no	—
1243	C₄×D₄	—	43	8	no	—
1244	C₄×D₄	—	43	8	no	—
1245	C₄×D₄	—	43	4	no	—
1246	C₄×D₄	—	43	8	no	—
1247	C₄×D₄	—	43	4	no	—
1248	C₄×D₄	—	43	8	no	—
1249	C₄×D₄	—	43	8	no	—
1250	C₄×D₄	—	43	8	no	—
1251	C₄×D₄	—	43	8	no	—
1252	C₄×D₄	—	43	8	no	—
1253	C₄×D₄	—	43	2	no	—
1254	C₄×D₄	—	43	4	no	—
1255	C₄×D₄	—	43	4	no	—
1256	C₄×D₄	—	43	2	no	—
1257	C₄×D₄	—	43	2	no	—
1258	C₄×D₄	—	43	2	no	—
1259	C₄×D₄	—	43	4	no	—
1260	C₄×D₄	—	43	4	no	—
1261	C₄×D₄	—	43	4	no	—
1262	C₄×D₄	—	43	4	no	—
1263	C₄×D₄	—	43	4	no	—
1264	C₄×D₄	—	43	4	no	—
1265	C₄×D₄	—	43	4	no	—
1266	C₄×D₄	—	43	4	no	—
1267	C₄×D₄	—	43	4	no	—
1268	C₄×D₄	—	43	8	no	—
1269	C₄×D₄	C₂²×D₄₃	1	2	yes	—
1270	C₄×D₄	C₂²×D₄₃	1	2	yes	—
1271	C₄×D₄	C₂²×D₄₃	1	4	yes	—
1272	C₄×D₄	C₂²×D₄₃	1	4	yes	—
1273	C₄×D₄	C₂²×D₄₃	1	2	yes	—
1274	C₄×D₄	C₂²×D₄₃	1	4	yes	—
1275	C₄×D₄	C₂²×D₄₃	1	2	yes	—
1276	C₄×D₄	C₂²×D₄₃	1	4	yes	—
1277	#117	—	43	4	no	—
1278	#117	—	43	4	no	—
1279	#117	—	43	8	no	—
1280	#117	—	43	8	no	—
1281	#117	—	43	4	no	—
1282	#117	—	43	4	no	—
1283	#117	—	43	4	no	—
1284	#117	—	43	4	no	—
1285	#117	—	43	8	no	—
1286	#117	C₂²×D₄₃	1	4	yes	—
1287	#117	C₂²×D₄₃	1	4	yes	—
1288	#117	C₂²×D₄₃	1	4	yes	—
1289	#117	C₂²×D₄₃	1	4	yes	—
1290	C₂×C₄⋊C₄	—	43	2	no	—
1291	C₂×C₄⋊C₄	—	43	2	no	—
1292	C₂×C₄⋊C₄	—	43	2	no	—
1293	C₂×C₄⋊C₄	—	43	2	no	—
1294	C₂×C₄⋊C₄	—	43	1	no	—
1295	C₂×C₄⋊C₄	—	43	2	no	—
1296	C₂×C₄⋊C₄	—	43	1	no	—
1297	C₂×C₄⋊C₄	—	43	2	no	—
1298	C₂×C₄⋊C₄	—	43	4	no	—
1299	C₂×C₄⋊C₄	—	43	4	no	—
1300	C₂×C₄⋊C₄	—	43	8	no	—
1301	C₂×C₄⋊C₄	—	43	8	no	—
1302	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
1303	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
1304	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1305	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
1306	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1307	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
1308	C₂×C₂²⋊C₄	—	43	2	no	—
1309	C₂×C₂²⋊C₄	—	43	2	no	—
1310	C₂×C₂²⋊C₄	—	43	2	no	—
1311	C₂×C₂²⋊C₄	—	43	4	no	—
1312	C₂×C₂²⋊C₄	—	43	4	no	—
1313	C₂×C₂²⋊C₄	—	43	2	no	—
1314	C₂×C₂²⋊C₄	—	43	2	no	—
1315	C₂×C₂²⋊C₄	—	43	8	no	—
1316	C₂×C₂²⋊C₄	—	43	8	no	—
1317	C₂×C₂²⋊C₄	—	43	8	no	—
1318	C₂×C₂²⋊C₄	—	43	8	no	—
1319	C₂×C₂²⋊C₄	—	43	8	no	—
1320	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1321	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1322	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1323	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1324	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1325	C₂×C₄²	—	43	2	no	—
1326	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1327	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1328	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
1329	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1330	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1331	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1332	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1333	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1334	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1335	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1336	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1337	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1338	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1339	C₂⁴	—	43	2	no	—
1340	C₂⁴	—	43	4	no	—
1341	C₂⁴	—	43	8	no	—
1342	C₂⁴	C₂³×D₄₃	1	2	yes	—
1343	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1344	#41	—	172	8	no	—
1345	#41	—	172	8	no	—
1346	#41	—	172	8	no	—
1347	#41	—	172	8	no	—
1348	#41	—	172	16	no	—
1349	#41	—	172	8	no	—
1350	#41	—	172	16	no	—
1351	#41	—	172	16	no	—
1352	#41	—	172	8	no	—
1353	C₂×Q₈	—	4	2	no	—
1354	C₂×Q₈	—	43	2	no	—
1355	C₂×Q₈	—	43	2	no	—
1356	C₂×Q₈	—	43	8	no	—
1357	C₂×Q₈	—	43	4	no	—
1358	C₂×Q₈	—	43	4	no	—
1359	C₂×Q₈	—	172	4	no	—
1360	C₂×Q₈	—	172	2	no	—
1361	C₂×Q₈	C₂³×D₄₃	1	2	yes	—
1362	C₂×Q₈	C₂³×D₄₃	1	2	yes	—
1363	C₂×D₄	—	2	8	no	—
1364	C₂×D₄	—	4	2	no	—
1365	C₂×D₄	—	43	4	no	—
1366	C₂×D₄	—	43	8	no	—
1367	C₂×D₄	—	43	8	no	—
1368	C₂×D₄	—	43	4	no	—
1369	C₂×D₄	—	43	8	no	—
1370	C₂×D₄	—	43	8	no	—
1371	C₂×D₄	—	43	8	no	—
1372	C₂×D₄	—	43	8	no	—
1373	C₂×D₄	—	43	2	no	—
1374	C₂×D₄	—	43	4	no	—
1375	C₂×D₄	—	43	4	no	—
1376	C₂×D₄	—	43	8	no	—
1377	C₂×D₄	—	43	2	no	—
1378	C₂×D₄	—	43	8	no	—
1379	C₂×D₄	—	43	4	no	—
1380	C₂×D₄	—	43	4	no	—
1381	C₂×D₄	—	43	4	no	—
1382	C₂×D₄	—	43	4	no	—
1383	C₂×D₄	—	43	8	no	—
1384	C₂×D₄	—	86	16	no	—
1385	C₂×D₄	—	86	8	no	—
1386	C₂×D₄	—	172	4	no	—
1387	C₂×D₄	—	172	4	no	—
1388	C₂×D₄	—	172	2	no	—
1389	C₂×D₄	—	172	8	no	—
1390	C₂×D₄	—	172	4	no	—
1391	C₂×D₄	—	172	8	no	—
1392	C₂×D₄	—	172	16	no	—
1393	C₂×D₄	—	172	16	no	—
1394	C₂×D₄	—	172	16	no	—
1395	C₂×D₄	C₂³×D₄₃	1	2	yes	—
1396	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1397	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1398	C₂×D₄	C₂³×D₄₃	1	2	yes	—
1399	C₂²×C₄	—	2	4	no	—
1400	C₂²×C₄	—	4	2	no	—
1401	C₂²×C₄	—	4	4	no	—
1402	C₂²×C₄	—	4	2	no	—
1403	C₂²×C₄	—	43	2	no	—
1404	C₂²×C₄	—	43	4	no	—
1405	C₂²×C₄	—	43	2	no	—
1406	C₂²×C₄	—	43	2	no	—
1407	C₂²×C₄	—	43	8	no	—
1408	C₂²×C₄	—	43	4	no	—
1409	C₂²×C₄	—	43	8	no	—
1410	C₂²×C₄	—	43	8	no	—
1411	C₂²×C₄	—	43	4	no	—
1412	C₂²×C₄	—	43	8	no	—
1413	C₂²×C₄	—	43	8	no	—
1414	C₂²×C₄	—	43	8	no	—
1415	C₂²×C₄	—	43	8	no	—
1416	C₂²×C₄	—	172	4	no	—
1417	C₂²×C₄	—	172	8	no	—
1418	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1419	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1420	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1421	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1422	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1423	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1424	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1425	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1426	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1427	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1428	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1429	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1430	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1431	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1432	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1433	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1434	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1435	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1436	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1437	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1438	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1439	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1440	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1441	C₄⋊C₄	—	43	4	no	—
1442	C₄⋊C₄	—	43	2	no	—
1443	C₄⋊C₄	—	43	4	no	—
1444	C₄⋊C₄	—	43	4	no	—
1445	C₄⋊C₄	—	43	4	no	—
1446	C₄⋊C₄	—	43	8	no	—
1447	C₄⋊C₄	—	43	8	no	—
1448	C₄⋊C₄	—	43	4	no	—
1449	C₄⋊C₄	—	43	2	no	—
1450	C₄⋊C₄	—	43	4	no	—
1451	C₄⋊C₄	—	43	4	no	—
1452	C₄⋊C₄	—	43	4	no	—
1453	C₄⋊C₄	—	43	4	no	—
1454	C₄⋊C₄	—	43	4	no	—
1455	C₄⋊C₄	—	43	4	no	—
1456	C₄⋊C₄	—	43	2	no	—
1457	C₄⋊C₄	—	43	8	no	—
1458	C₄⋊C₄	—	43	8	no	—
1459	C₄⋊C₄	—	43	2	no	—
1460	C₄⋊C₄	—	43	4	no	—
1461	C₄⋊C₄	—	43	8	no	—
1462	C₄⋊C₄	—	43	8	no	—
1463	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1464	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
1465	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1466	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1467	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
1468	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1469	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1470	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1471	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1472	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
1473	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1474	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
1475	C₂²⋊C₄	—	43	4	no	—
1476	C₂²⋊C₄	—	43	8	no	—
1477	C₂²⋊C₄	—	43	4	no	—
1478	C₂²⋊C₄	—	43	8	no	—
1479	C₂²⋊C₄	—	43	4	no	—
1480	C₂²⋊C₄	—	43	4	no	—
1481	C₂²⋊C₄	—	43	4	no	—
1482	C₂²⋊C₄	—	43	8	no	—
1483	C₂²⋊C₄	—	43	8	no	—
1484	C₂²⋊C₄	—	43	8	no	—
1485	C₂²⋊C₄	—	43	4	no	—
1486	C₂²⋊C₄	—	43	4	no	—
1487	C₂²⋊C₄	—	43	4	no	—
1488	C₂²⋊C₄	—	43	4	no	—
1489	C₂²⋊C₄	—	43	8	no	—
1490	C₂²⋊C₄	—	43	4	no	—
1491	C₂²⋊C₄	—	43	8	no	—
1492	C₂²⋊C₄	—	43	8	no	—
1493	C₂²⋊C₄	—	43	8	no	—
1494	C₂²⋊C₄	—	43	8	no	—
1495	C₂²⋊C₄	—	43	8	no	—
1496	C₂²⋊C₄	—	43	8	no	—
1497	C₂²⋊C₄	—	43	8	no	—
1498	C₂²⋊C₄	—	43	8	no	—
1499	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1500	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1501	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1502	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1503	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1504	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1505	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1506	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1507	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1508	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1509	C₄²	—	43	4	no	—
1510	C₄²	—	43	4	no	—
1511	C₄²	—	43	8	no	—
1512	C₄²	—	43	8	no	—
1513	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1514	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1515	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1516	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1517	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1518	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1519	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1520	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1521	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1522	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1523	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1524	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1525	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1526	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1527	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1528	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1529	C₄²	C₂³×D₄₃	1	4	yes	—
1530	C₄²	C₂³×D₄₃	1	4	yes	—
1531	C₂³	—	2	4	no	—
1532	C₂³	—	4	1	no	—
1533	C₂³	—	4	1	no	—
1534	C₂³	—	4	2	no	—
1535	C₂³	—	4	2	no	—
1536	C₂³	—	43	4	no	—
1537	C₂³	—	43	8	no	—
1538	C₂³	—	86	8	no	—
1539	C₂³	—	86	4	no	—
1540	C₂³	—	172	2	no	—
1541	C₂³	—	172	2	no	—
1542	C₂³	—	172	4	no	—
1543	C₂³	—	172	4	no	—
1544	C₂³	—	172	8	no	—
1545	C₂³	—	172	8	no	—
1546	C₂³	—	172	8	no	—
1547	C₂³	#13063371	1	4	yes	—
1548	C₂³	C₂⁴×D₄₃	1	4	yes	—
1549	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1550	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1551	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1552	Q₈	—	2	4	no	—
1553	Q₈	—	4	2	no	—
1554	Q₈	—	86	4	no	—
1555	Q₈	—	172	4	no	—
1556	Q₈	—	172	4	no	—
1557	Q₈	—	172	2	no	—
1558	Q₈	—	172	8	no	—
1559	D₄	—	2	8	no	—
1560	D₄	—	2	8	no	—
1561	D₄	—	2	4	no	—
1562	D₄	—	4	2	no	—
1563	D₄	—	86	8	no	—
1564	D₄	—	86	8	no	—
1565	D₄	—	86	16	no	—
1566	D₄	—	86	16	no	—
1567	D₄	—	86	4	no	—
1568	D₄	—	86	8	no	—
1569	D₄	—	86	8	no	—
1570	D₄	—	172	8	no	—
1571	D₄	—	172	4	no	—
1572	D₄	—	172	4	no	—
1573	D₄	—	172	8	no	—
1574	D₄	—	172	4	no	—
1575	D₄	—	172	4	no	—
1576	D₄	—	172	2	no	—
1577	D₄	—	172	8	no	—
1578	D₄	—	172	8	no	—
1579	D₄	—	172	8	no	—
1580	D₄	—	172	8	no	—
1581	D₄	—	172	8	no	—
1582	C₂×C₄	—	2	2	no	—
1583	C₂×C₄	—	2	2	no	—
1584	C₂×C₄	—	2	2	no	—
1585	C₂×C₄	—	2	2	no	—
1586	C₂×C₄	—	2	2	no	—
1587	C₂×C₄	—	2	2	no	—
1588	C₂×C₄	—	2	4	no	—
1589	C₂×C₄	—	2	2	no	—
1590	C₂×C₄	—	2	2	no	—
1591	C₂×C₄	—	2	2	no	—
1592	C₂×C₄	—	2	2	no	—
1593	C₂×C₄	—	2	2	no	—
1594	C₂×C₄	—	2	2	no	—
1595	C₂×C₄	—	2	8	no	—
1596	C₂×C₄	—	4	4	no	—
1597	C₂×C₄	—	4	1	no	—
1598	C₂×C₄	—	4	1	no	—
1599	C₂×C₄	—	4	1	no	—
1600	C₂×C₄	—	4	1	no	—
1601	C₂×C₄	—	4	2	no	—
1602	C₂×C₄	—	4	1	no	—
1603	C₂×C₄	—	4	1	no	—
1604	C₂×C₄	—	4	2	no	—
1605	C₂×C₄	—	43	4	no	—
1606	C₂×C₄	—	43	4	no	—
1607	C₂×C₄	—	43	8	no	—
1608	C₂×C₄	—	43	4	no	—
1609	C₂×C₄	—	86	8	no	—
1610	C₂×C₄	—	86	4	no	—
1611	C₂×C₄	—	86	8	no	—
1612	C₂×C₄	—	172	8	no	—
1613	C₂×C₄	—	172	8	no	—
1614	C₂×C₄	—	172	4	no	—
1615	C₂×C₄	—	172	8	no	—
1616	C₂×C₄	—	172	8	no	—
1617	C₂×C₄	—	172	8	no	—
1618	C₂×C₄	—	172	8	no	—
1619	C₂×C₄	—	172	2	no	—
1620	C₂×C₄	—	172	8	no	—
1621	C₂×C₄	—	172	2	no	—
1622	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1623	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1624	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1625	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1626	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1627	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1628	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1629	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1630	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1631	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1632	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1633	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1634	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1635	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1636	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1637	C₂²	—	2	1	no	—
1638	C₂²	—	2	1	no	—
1639	C₂²	—	2	1	no	—
1640	C₂²	—	2	1	no	—
1641	C₂²	—	2	1	no	—
1642	C₂²	—	2	1	no	—
1643	C₂²	—	2	4	no	—
1644	C₂²	—	2	4	no	—
1645	C₂²	—	2	4	no	—
1646	C₂²	—	4	4	no	—
1647	C₂²	—	8	4	no	—
1648	C₂²	—	86	8	no	—
1649	C₂²	—	86	4	no	—
1650	C₂²	—	86	4	no	—
1651	C₂²	—	86	8	no	—
1652	C₂²	—	86	8	no	—
1653	C₂²	—	86	4	no	—
1654	C₂²	—	344	8	no	—
1655	C₂²	—	344	4	no	—
1656	C₂²	—	688	8	no	—
1657	C₂²	C₂×#13063371	1	2	yes	—
1658	C₂²	C₂×#13063371	1	2	yes	—
1659	C₂²	C₂×#13063371	1	2	yes	—
1660	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1661	C₄	—	2	1	no	—
1662	C₄	—	2	1	no	—
1663	C₄	—	2	1	no	—
1664	C₄	—	2	1	no	—
1665	C₄	—	2	4	no	—
1666	C₄	—	2	1	no	—
1667	C₄	—	2	1	no	—
1668	C₄	—	2	4	no	—
1669	C₄	—	2	1	no	—
1670	C₄	—	2	1	no	—
1671	C₄	—	2	1	no	—
1672	C₄	—	2	1	no	—
1673	C₄	—	2	4	no	—
1674	C₄	—	86	4	no	—
1675	C₄	—	86	8	no	—
1676	C₄	—	86	4	no	—
1677	C₄	—	86	4	no	—
1678	C₄	#14583735	1	2	yes	—
1679	C₄	#14583735	1	2	yes	—
1680	C₂	—	2	2	no	—
1681	C₂	—	2	2	no	—
1682	C₂	—	2	2	no	—
1683	C₂	—	4	4	no	—
1684	C₂	—	172	4	no	—
1685	C₂	—	172	8	no	—
1686	C₂	C₂²×#13063371	1	1	yes	characteristic
1687	C₂	C₂×#14583735	1	1	yes	characteristic
1688	C₂	C₂×#14583735	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₄₃
commutator, socle, cosocle	C₂²×C₄₃	C₂⁶
Fitting	C₂×C₄₃×#529	C₂
hypercenter	C₂×#529	D₄₃
hypocenter	C₄₃	#62822
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×#529

Complements

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

N	H ≅ G/N	type
1. #19149147	C₂	semidirect
2. #19149141	C₂	semidirect
3. #19149129	C₂	semidirect
4. #19149126	C₂	semidirect
5. #19149114	C₂	semidirect
6. #19149111	C₂	semidirect
7. #19148947	C₂	semidirect
8. #19148935	C₂	semidirect
9. #19148925	C₂	semidirect
10. #19148680	C₂	semidirect
11. #19148678	C₂	semidirect
12. #19148629	C₂	semidirect
13. #19148627	C₂	semidirect
14. #19148539	C₂	semidirect
15. #19148529	C₂	semidirect
16. #19148436	C₂	semidirect
17. #19148434	C₂	semidirect
18. #19148359	C₂	semidirect
19. #19148352	C₂	semidirect
20. #19148330	C₂	semidirect
21. #19148318	C₂	semidirect
22. #19148233	C₂	semidirect
23. C₂×#14583449	C₂	semidirect
24. C₂×#14583433	C₂	semidirect
25. C₂×C₄₃×#529	C₂	semidirect
26. C₂×#13063370	C₂²	semidirect
27. C₂²×#10621898	C₂²	semidirect
28. #14583653	C₂²	semidirect
29. #14583651	C₂²	semidirect
30. #14583647	C₂²	semidirect
31. #14583643	C₂²	semidirect
32. #14583641	C₂²	semidirect
33. #14583640	C₂²	semidirect
34. #14583634	C₂²	semidirect
35. #14583634	C₂²	semidirect
36. #14583631	C₂²	semidirect
37. Q₈×Dic₈₆	C₂²	semidirect
38. #14583614	C₂²	semidirect
39. #14583612	C₂²	semidirect
40. #14583609	C₂²	semidirect
41. #14583609	C₂²	semidirect
42. #14583606	C₂²	semidirect
43. #14583605	C₂²	semidirect
44. #14583602	C₂²	semidirect
45. #14583600	C₂²	semidirect
46. #14583598	C₂²	semidirect
47. #14583597	C₂²	semidirect
48. #14583597	C₂²	semidirect
49. #14583595	C₂²	semidirect
50. #14583595	C₂²	semidirect
51. #14583593	C₂²	semidirect
52. #14583591	C₂²	semidirect
53. #14583589	C₂²	semidirect
54. #14583578	C₂²	semidirect
55. #14583576	C₂²	semidirect
56. #14583574	C₂²	semidirect
57. #14583573	C₂²	semidirect
58. #14583573	C₂²	semidirect
59. #14583571	C₂²	semidirect
60. #14583570	C₂²	semidirect
61. #14583560	C₂²	semidirect
62. #14583558	C₂²	semidirect
63. #14583553	C₂²	semidirect
64. #14583553	C₂²	semidirect
65. #14583550	C₂²	semidirect
66. #14583550	C₂²	semidirect
67. #14583550	C₂²	semidirect
68. #14583549	C₂²	semidirect
69. #14583547	C₂²	semidirect
70. #14583547	C₂²	semidirect
71. #14583545	C₂²	semidirect
72. #14583545	C₂²	semidirect
73. #14583544	C₂²	semidirect
74. #14583544	C₂²	semidirect
75. #14583542	C₂²	semidirect
76. #14583541	C₂²	semidirect
77. #14583541	C₂²	semidirect
78. #14583540	C₂²	semidirect
79. #14583539	C₂²	semidirect
80. #14583539	C₂²	semidirect
81. #14583539	C₂²	semidirect
82. #14583538	C₂²	semidirect
83. D₄×D₁₇₂	C₂²	semidirect
84. D₄×D₁₇₂	C₂²	semidirect
85. D₄×D₁₇₂	C₂²	semidirect
86. #14583533	C₂²	semidirect
87. D₄×C₂²⋊D₄₃	C₂²	semidirect
88. #14583529	C₂²	semidirect
89. #14583527	C₂²	semidirect
90. #14583521	C₂²	semidirect
91. #14583521	C₂²	semidirect
92. #14583520	C₂²	semidirect
93. #14583520	C₂²	semidirect
94. #14583518	C₂²	semidirect
95. #14583515	C₂²	semidirect
96. #14583505	C₂²	semidirect
97. #14583504	C₂²	semidirect
98. #14583504	C₂²	semidirect
99. #14583500	C₂²	semidirect
100. #14583498	C₂²	semidirect
101. #14583497	C₂²	semidirect
102. #14583496	C₂²	semidirect
103. #14583490	C₂²	semidirect
104. #14583489	C₂²	semidirect
105. #14583488	C₂²	semidirect
106. #14583488	C₂²	semidirect
107. #14583487	C₂²	semidirect
108. #14583483	C₂²	semidirect
109. #14583482	C₂²	semidirect
110. #14583480	C₂²	semidirect
111. #14583476	C₂²	semidirect
112. #14583471	C₂²	semidirect
113. #14583468	C₂²	semidirect
114. #14583467	C₂²	semidirect
115. #14583461	C₂²	semidirect
116. #14583461	C₂²	semidirect
117. #14583460	C₂²	semidirect
118. #14583458	C₂²	semidirect
119. #14583457	C₂²	semidirect
120. #14583449	C₂²	semidirect
121. #14583449	C₂²	semidirect
122. #14583449	C₂²	semidirect
123. #14583449	C₂²	semidirect
124. #14583449	C₂²	semidirect
125. #14583449	C₂²	semidirect
126. #14583449	C₂²	semidirect
127. #14583449	C₂²	semidirect
128. #14583449	C₂²	semidirect
129. #14583444	C₂²	semidirect
130. C₂×#13063325	C₂²	semidirect
131. C₂×#13063322	C₂²	semidirect
132. #14583435	C₂²	semidirect
133. #14583433	C₂²	semidirect
134. #14583433	C₂²	semidirect
135. #14583433	C₂²	semidirect
136. #14583433	C₂²	semidirect
137. #14583433	C₂²	semidirect
138. #14583433	C₂²	semidirect
139. #14583433	C₂²	semidirect
140. #14583433	C₂²	semidirect
141. #14583433	C₂²	semidirect
142. C₂×#13063319	C₂²	semidirect
143. C₂×#13063317	C₂²	semidirect
144. C₂×#13063313	C₂²	semidirect
145. C₂×#13063313	C₂²	semidirect
146. #14583412	C₂²	semidirect
147. #14583410	C₂²	semidirect
148. #14583407	C₂²	semidirect
149. C₂×#13063308	C₂²	semidirect
150. #123×D₄₃	C₂²	semidirect
151. C₂×#13063304	C₂²	semidirect
153. C₂×#13063299	C₂²	semidirect
154. C₂×#13063299	C₂²	semidirect
155. C₂×#13063299	C₂²	semidirect
156. #121×D₄₃	C₂²	semidirect
157. #14583381	C₂²	semidirect
158. #14583379	C₂²	semidirect
159. #14583373	C₂²	semidirect
160. #14583372	C₂²	semidirect
161. #14583371	C₂²	semidirect
162. C₂×C₄×Dic₈₆	C₂²	semidirect
163. C₂×C₄×D₁₇₂	C₂²	semidirect
164. C₂×C₄×D₁₇₂	C₂²	semidirect
165. C₂×C₄×D₁₇₂	C₂²	semidirect
166. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
167. C₂×#13063282	C₂²	semidirect
168. C₄₃×#529	C₂²	semidirect
169. C₄₃×#529	C₂²	semidirect
170. C₄₃×#529	C₂²	semidirect
171. C₄₃×#529	C₂²	semidirect
172. C₄₃×#529	C₂²	semidirect
173. C₄₃×#529	C₂²	semidirect
174. C₄₃×#529	C₂²	semidirect
175. C₄₃×#529	C₂²	semidirect
176. C₂×#126×C₄₃	C₂²	semidirect
177. C₂×#125×C₄₃	C₂²	semidirect
178. C₂×#124×C₄₃	C₂²	semidirect
179. C₂×#123×C₄₃	C₂²	semidirect
180. C₂×C₂²⋊Q₈×C₄₃	C₂²	semidirect
182. C₂×C₄×Q₈×C₄₃	C₂²	semidirect
183. C₂×C₄×D₄×C₄₃	C₂²	semidirect
184. C₂×C₄×D₄×C₄₃	C₂²	semidirect
185. C₂×#117×C₄₃	C₂²	semidirect
186. C₂²×C₄²×C₄₃	C₂²	semidirect
860. C₂×#529	D₄₃	semidirect
986. #529	C₂×D₄₃	semidirect
987. #529	C₂×D₄₃	semidirect
988. #529	C₂×D₄₃	semidirect
989. #529	C₂×D₄₃	semidirect
990. #529	C₂×D₄₃	semidirect
991. #529	C₂×D₄₃	semidirect
992. #529	C₂×D₄₃	semidirect
993. #529	C₂×D₄₃	semidirect
995. C₂×#126	C₂×D₄₃	semidirect
997. C₂×#125	C₂×D₄₃	semidirect
1000. C₂×#124	C₂×D₄₃	semidirect
1006. C₂×#123	C₂×D₄₃	semidirect
1008. C₂×C₂²⋊Q₈	C₂×D₄₃	semidirect
1021. C₂×C₄×Q₈	C₂×D₄₃	semidirect
1026. C₂×C₄×D₄	C₂×D₄₃	semidirect
1027. C₂×C₄×D₄	C₂×D₄₃	semidirect
1029. C₂×#117	C₂×D₄₃	semidirect
1030. C₂²×C₄²	C₂×D₄₃	semidirect
1031. C₄₃	#62822	semidirect

Maximal subgroups

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

subgroup	index
#19149147	2
#19149141	2
#19149129	2
#19149126	2
#19149114	2
#19149111	2
#19148947	2
#19148935	2
#19148925	2
#19148680	2
#19148678	2
#19148629	2
#19148627	2
#19148539	2
#19148529	2
#19148436	2
#19148434	2
#19148359	2
#19148352	2
#19148330	2
#19148318	2
#19148233	2
C₂×#14583449	2
C₂×#14583433	2
C₂×C₄₃×#529	2
#62822	43