Subgroups — D₄₃×#3493 #26004653

Order 11008.

7302 conjugacy classes of subgroups.

The subgroup lattice has 1590 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148316	C₂	1	1	yes	maximal, characteristic, complemented
2	#19148315	C₂	1	1	yes	maximal, characteristic, complemented
3	#19148314	C₂	1	1	yes	maximal, characteristic, complemented
4	#19148313	C₂	1	4	yes	maximal, complemented
5	#19148312	C₂	1	2	yes	maximal, complemented
6	#19148311	C₂	1	4	yes	maximal, complemented
7	#19148310	C₂	1	4	yes	maximal, complemented
8	#19148309	C₂	1	4	yes	maximal, complemented
9	#19148308	C₂	1	2	yes	maximal, complemented
10	#19148307	C₂	1	4	yes	maximal, complemented
11	#19148306	C₂	1	4	yes	maximal, complemented
12	#556×D₄₃	C₂	1	4	yes	maximal, complemented
13	#555×D₄₃	C₂	1	4	yes	maximal, complemented
14	#553×D₄₃	C₂	1	4	yes	maximal, complemented
15	#552×D₄₃	C₂	1	4	yes	maximal, complemented
16	#544×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
17	#538×D₄₃	C₂	1	4	yes	maximal, complemented
18	#537×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
19	#529×D₄₃	C₂	1	4	yes	maximal, complemented
20	#525×D₄₃	C₂	1	2	yes	maximal, complemented
21	#520×D₄₃	C₂	1	2	yes	maximal, complemented
22	C₂×#117×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₃×#3493	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#41×D₄₃	C₂²	1	2	yes	—
25	C₂³×C₄×D₄₃	C₂²	1	1	yes	characteristic
26	#14583623	C₂²	1	4	yes	complemented
27	#14583622	C₂²	1	4	yes	complemented
28	#14583621	C₂²	1	8	yes	complemented
29	#14583620	C₂²	1	4	yes	complemented
30	#14583620	C₂²	1	4	yes	complemented
31	#14583619	C₂²	1	4	yes	complemented
32	#14583618	C₂²	1	8	yes	complemented
33	#14583617	C₂²	1	4	yes	complemented
34	#14583617	C₂²	1	4	yes	complemented
35	#14583616	C₂²	1	8	yes	complemented
36	#14583616	C₂²	1	8	yes	complemented
37	#14583615	C₂²	1	4	yes	complemented
38	#14583614	C₂²	1	4	yes	complemented
39	#14583614	C₂²	1	4	yes	complemented
40	#14583613	C₂²	1	8	yes	complemented
41	#14583613	C₂²	1	4	yes	complemented
42	#14583613	C₂²	1	4	yes	complemented
43	#14583612	C₂²	1	4	yes	complemented
44	#14583612	C₂²	1	8	yes	complemented
45	#14583612	C₂²	1	4	yes	complemented
46	#14583611	C₂²	1	8	yes	complemented
47	#14583611	C₂²	1	8	yes	complemented
48	#14583602	C₂²	1	4	yes	complemented
49	#14583601	C₂²	1	4	yes	complemented
50	#14583600	C₂²	1	8	yes	complemented
51	#14583599	C₂²	1	4	yes	complemented
52	#14583598	C₂²	1	8	yes	complemented
53	#14583597	C₂²	1	4	yes	complemented
54	#14583596	C₂²	1	4	yes	complemented
55	#14583595	C₂²	1	4	yes	complemented
56	#14583594	C₂²	1	8	yes	complemented
57	#14583593	C₂²	1	4	yes	complemented
58	#14583592	C₂²	1	8	yes	complemented
59	#14583591	C₂²	1	4	yes	complemented
60	#14583590	C₂²	1	4	yes	complemented
61	#14583589	C₂²	1	4	yes	complemented
62	#14583588	C₂²	1	4	yes	complemented
63	#14583587	C₂²	1	4	yes	complemented
64	#14583586	C₂²	1	8	yes	complemented
65	#14583585	C₂²	1	8	yes	complemented
66	#14583584	C₂²	1	4	yes	complemented
67	#14583583	C₂²	1	4	yes	complemented
68	#14583582	C₂²	1	8	yes	complemented
69	#14583581	C₂²	1	8	yes	complemented
70	#14583530	C₂²	1	1	yes	characteristic, complemented
71	#14583529	C₂²	1	4	yes	complemented
72	#14583528	C₂²	1	4	yes	complemented
73	#14583527	C₂²	1	2	yes	complemented
74	#14583526	C₂²	1	4	yes	complemented
75	#14583489	C₂²	1	4	yes	complemented
76	#14583488	C₂²	1	8	yes	complemented
77	#14583487	C₂²	1	4	yes	complemented
78	#14583486	C₂²	1	4	yes	complemented
79	#14583485	C₂²	1	8	yes	complemented
80	#14583484	C₂²	1	8	yes	complemented
81	#14583483	C₂²	1	8	yes	complemented
82	#14583482	C₂²	1	8	yes	complemented
83	#14583481	C₂²	1	8	yes	complemented
84	#14583480	C₂²	1	1	yes	characteristic, complemented
85	#14583479	C₂²	1	4	yes	complemented
86	#14583478	C₂²	1	4	yes	complemented
87	#14583477	C₂²	1	2	yes	complemented
88	#14583476	C₂²	1	4	yes	complemented
89	C₄⋊Q₈×D₄₃	C₂²	1	4	yes	complemented
90	#14583436	C₂²	1	4	yes	complemented
91	#14583435	C₂²	1	4	yes	complemented
92	#14583434	C₂²	1	4	yes	complemented
93	#14583433	C₂²	1	4	yes	complemented
94	#14583432	C₂²	1	8	yes	complemented
95	#14583431	C₂²	1	4	yes	complemented
96	#14583430	C₂²	1	4	yes	complemented
97	#14583429	C₂²	1	8	yes	complemented
98	#14583428	C₂²	1	4	yes	complemented
99	#14583427	C₂²	1	8	yes	complemented
100	#14583426	C₂²	1	8	yes	complemented
101	#126×D₄₃	C₂²	1	8	yes	—
102	#126×D₄₃	C₂²	1	8	yes	complemented
103	#125×D₄₃	C₂²	1	4	yes	complemented
104	#125×D₄₃	C₂²	1	4	yes	complemented
105	#124×D₄₃	C₂²	1	8	yes	—
106	#124×D₄₃	C₂²	1	4	yes	complemented
107	#14583412	C₂²	1	2	yes	complemented
108	#14583412	C₂²	1	2	yes	complemented
109	#14583411	C₂²	1	2	yes	complemented
110	#14583410	C₂²	1	2	yes	complemented
111	#14583409	C₂²	1	2	yes	complemented
112	#14583409	C₂²	1	2	yes	complemented
113	#14583408	C₂²	1	4	yes	complemented
114	#14583408	C₂²	1	4	yes	complemented
115	#14583407	C₂²	1	4	yes	complemented
116	#14583406	C₂²	1	2	yes	complemented
117	#14583405	C₂²	1	4	yes	complemented
118	#123×D₄₃	C₂²	1	4	yes	—
119	#123×D₄₃	C₂²	1	8	yes	—
120	C₂²⋊Q₈×D₄₃	C₂²	1	2	yes	—
121	C₂²⋊Q₈×D₄₃	C₂²	1	2	yes	—
122	C₂²⋊Q₈×D₄₃	C₂²	1	4	yes	—
123	C₂²⋊Q₈×D₄₃	C₂²	1	4	yes	complemented
124	#121×D₄₃	C₂²	1	2	yes	—
125	#121×D₄₃	C₂²	1	2	yes	—
126	#121×D₄₃	C₂²	1	4	yes	—
127	#121×D₄₃	C₂²	1	8	yes	—
128	#121×D₄₃	C₂²	1	4	yes	complemented
129	#120×D₄₃	C₂²	1	4	yes	—
130	#14583382	C₂²	1	2	yes	complemented
131	#14583381	C₂²	1	4	yes	complemented
132	#14583380	C₂²	1	2	yes	complemented
133	#14583380	C₂²	1	4	yes	complemented
134	#14583379	C₂²	1	2	yes	complemented
135	#14583379	C₂²	1	4	yes	complemented
136	#14583378	C₂²	1	8	yes	complemented
137	#14583378	C₂²	1	4	yes	complemented
138	C₄×Q₈×D₄₃	C₂²	1	4	yes	complemented
139	C₄×Q₈×D₄₃	C₂²	1	4	yes	complemented
140	C₄×D₄×D₄₃	C₂²	1	8	yes	—
141	C₄×D₄×D₄₃	C₂²	1	4	yes	—
142	C₄×D₄×D₄₃	C₂²	1	4	yes	—
143	C₄×D₄×D₄₃	C₂²	1	4	yes	complemented
144	C₄×D₄×D₄₃	C₂²	1	4	yes	complemented
145	C₂×#13063284	C₂²	1	1	yes	characteristic, complemented
146	C₂×#13063283	C₂²	1	1	yes	characteristic, complemented
147	C₂×#13063283	C₂²	1	1	yes	characteristic, complemented
148	C₂×#13063282	C₂²	1	2	yes	complemented
149	C₂×#13063281	C₂²	1	2	yes	complemented
150	#117×D₄₃	C₂²	1	2	yes	—
151	#117×D₄₃	C₂²	1	4	yes	—
152	#117×D₄₃	C₂²	1	4	yes	—
153	#117×D₄₃	C₂²	1	4	yes	complemented
154	#117×D₄₃	C₂²	1	4	yes	complemented
155	#117×D₄₃	C₂²	1	4	yes	complemented
156	#117×D₄₃	C₂²	1	8	yes	complemented
157	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
158	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
159	C₂×C₄⋊C₄×D₄₃	C₂²	1	4	yes	complemented
160	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	—
161	C₂×C₄²×D₄₃	C₂²	1	2	yes	—
162	C₄₃×#556	C₂²	1	4	yes	complemented
163	C₄₃×#555	C₂²	1	4	yes	complemented
164	C₄₃×#553	C₂²	1	4	yes	complemented
165	C₄₃×#552	C₂²	1	4	yes	complemented
166	C₄₃×#544	C₂²	1	1	yes	characteristic, complemented
167	C₄₃×#538	C₂²	1	4	yes	complemented
168	C₄₃×#537	C₂²	1	1	yes	characteristic, complemented
169	C₄₃×#529	C₂²	1	4	yes	complemented
170	C₄₃×#525	C₂²	1	2	yes	complemented
171	C₄₃×#520	C₂²	1	2	yes	complemented
172	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic, complemented
173	C₂⁴×D₄₃	C₂³	1	1	yes	characteristic
174	C₂×#10621902	C₂³	1	2	yes	—
175	C₂×#10621898	C₂³	1	4	yes	—
176	C₂×#10621898	C₂³	1	2	yes	—
177	C₂×#10621900	C₂³	1	4	yes	—
178	C₂×#10621900	C₂³	1	2	yes	—
179	#41×D₄₃	—	2	16	no	—
180	C₂×Q₈×D₄₃	C₂³	1	2	yes	—
181	C₂×Q₈×D₄₃	C₂³	1	4	yes	—
182	C₂×D₄×D₄₃	C₂³	1	4	yes	—
183	C₂×D₄×D₄₃	C₂³	1	2	yes	—
184	C₂×D₄×D₄₃	C₂³	1	4	yes	—
185	C₂×D₄×D₄₃	C₂³	1	4	yes	—
186	C₂×D₄×D₄₃	C₂³	1	4	yes	—
187	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
188	C₂²×C₄×D₄₃	—	2	8	no	—
189	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₄₃	C₂³	1	4	yes	—
191	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
192	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
193	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
194	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
195	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
197	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
198	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
199	C₂²×C₄×D₄₃	C₂³	1	8	yes	—
200	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
201	#13063325	C₂³	1	4	yes	complemented
202	#13063324	C₂³	1	8	yes	complemented
203	#13063324	C₂³	1	4	yes	complemented
204	#13063324	C₂³	1	4	yes	complemented
205	#13063323	C₂³	1	8	yes	complemented
206	#13063320	C₂³	1	8	yes	—
207	#13063320	C₂³	1	8	yes	—
208	#13063320	C₂³	1	8	yes	—
209	#13063320	C₂³	1	8	yes	complemented
210	#13063320	C₂³	1	8	yes	complemented
211	#13063320	C₂³	1	8	yes	complemented
212	#13063319	C₂³	1	8	yes	—
213	#13063319	C₂³	1	8	yes	complemented
214	#13063318	C₂³	1	8	yes	—
215	#13063318	C₂³	1	8	yes	—
216	#13063318	C₂³	1	8	yes	—
217	#13063318	C₂³	1	8	yes	complemented
218	#13063318	C₂³	1	8	yes	complemented
219	#13063318	C₂³	1	8	yes	complemented
220	#13063317	C₂³	1	4	yes	complemented
221	#13063317	C₂³	1	4	yes	complemented
222	#13063316	C₂³	1	4	yes	complemented
223	#13063316	C₂³	1	4	yes	complemented
224	#13063316	C₂³	1	4	yes	complemented
225	#13063316	C₂³	1	4	yes	complemented
226	#13063315	C₂³	1	8	yes	complemented
227	#13063315	C₂³	1	8	yes	complemented
228	#13063315	C₂³	1	8	yes	complemented
229	#13063315	C₂³	1	8	yes	complemented
230	#13063314	C₂³	1	8	yes	—
231	#13063314	C₂³	1	4	yes	complemented
232	#13063313	C₂³	1	8	yes	—
233	#13063313	C₂³	1	4	yes	complemented
234	#13063312	C₂³	1	8	yes	—
235	#13063312	C₂³	1	4	yes	complemented
236	#13063311	C₂³	1	8	yes	—
237	#13063311	C₂³	1	8	yes	—
238	#13063311	C₂³	1	8	yes	—
239	#13063311	C₂³	1	8	yes	—
240	#13063311	C₂³	1	8	yes	complemented
241	#13063311	C₂³	1	8	yes	complemented
242	#13063310	C₂³	1	8	yes	—
243	#13063310	C₂³	1	8	yes	—
244	#13063310	C₂³	1	4	yes	—
245	#13063310	C₂³	1	4	yes	—
246	#13063309	C₂³	1	8	yes	—
247	#13063309	C₂³	1	4	yes	—
248	#13063308	C₂³	1	8	yes	—
249	#13063308	C₂³	1	4	yes	—
250	#13063307	C₂³	1	8	yes	—
251	#13063307	C₂³	1	8	yes	—
252	#13063307	C₂³	1	4	yes	—
253	#13063307	C₂³	1	4	yes	—
254	#13063306	C₂³	1	8	yes	—
255	#13063306	C₂³	1	4	yes	—
256	#13063305	C₂³	1	2	yes	—
257	#13063305	C₂³	1	2	yes	—
258	#13063305	C₂³	1	4	yes	—
259	#13063305	C₂³	1	4	yes	complemented
260	#13063304	C₂³	1	2	yes	—
261	#13063304	C₂³	1	2	yes	—
262	#13063304	C₂³	1	4	yes	—
263	#13063304	C₂³	1	4	yes	complemented
264	#13063303	C₂³	1	4	yes	—
265	#13063303	C₂³	1	4	yes	—
266	#13063303	C₂³	1	8	yes	—
267	#13063303	C₂³	1	8	yes	complemented
268	#13063302	C₂³	1	4	yes	—
269	#13063302	C₂³	1	4	yes	—
270	#13063302	C₂³	1	8	yes	—
271	#13063302	C₂³	1	8	yes	complemented
272	#13063301	C₂³	1	2	yes	—
273	#13063301	C₂³	1	2	yes	—
274	#13063301	C₂³	1	4	yes	—
275	#13063301	C₂³	1	4	yes	complemented
276	#13063300	C₂³	1	2	yes	—
277	#13063300	C₂³	1	8	yes	—
278	#13063300	C₂³	1	2	yes	—
279	#13063300	C₂³	1	4	yes	—
280	#13063300	C₂³	1	4	yes	complemented
281	#13063299	C₂³	1	2	yes	—
282	#13063299	C₂³	1	8	yes	—
283	#13063299	C₂³	1	2	yes	—
284	#13063299	C₂³	1	4	yes	—
285	#13063299	C₂³	1	4	yes	complemented
286	#13063298	C₂³	1	8	yes	—
287	#13063298	C₂³	1	4	yes	—
288	#13063298	C₂³	1	8	yes	—
289	#13063298	C₂³	1	4	yes	—
290	#13063298	C₂³	1	8	yes	—
291	#13063298	C₂³	1	8	yes	complemented
292	#13063297	C₂³	1	4	yes	—
293	#13063297	C₂³	1	8	yes	—
294	#13063297	C₂³	1	8	yes	—
295	#13063297	C₂³	1	4	yes	—
296	#13063297	C₂³	1	8	yes	—
297	#13063297	C₂³	1	8	yes	complemented
298	#13063296	C₂³	1	8	yes	—
299	#13063296	C₂³	1	2	yes	—
300	#13063296	C₂³	1	2	yes	—
301	#13063296	C₂³	1	4	yes	—
302	#13063296	C₂³	1	4	yes	complemented
303	#13063295	C₂³	1	4	yes	—
304	#13063295	C₂³	1	4	yes	—
305	#13063295	C₂³	1	4	yes	—
306	#13063294	C₂³	1	4	yes	—
307	#13063293	C₂³	1	4	yes	—
308	#13063293	C₂³	1	4	yes	—
309	#13063293	C₂³	1	4	yes	—
310	Q₈×Dic₄₃	C₂³	1	4	yes	complemented
311	Q₈×Dic₄₃	C₂³	1	4	yes	complemented
312	C₄×Dic₈₆	C₂³	1	8	yes	complemented
313	C₄×Dic₈₆	C₂³	1	4	yes	complemented
314	C₄×Dic₈₆	C₂³	1	4	yes	complemented
315	C₄×Dic₈₆	C₂³	1	8	yes	complemented
316	#13063290	C₂³	1	8	yes	complemented
317	#13063290	C₂³	1	4	yes	complemented
318	#13063290	C₂³	1	4	yes	complemented
319	#13063290	C₂³	1	8	yes	complemented
320	C₄×D₁₇₂	C₂³	1	4	yes	—
321	C₄×D₁₇₂	C₂³	1	4	yes	—
322	C₄×D₁₇₂	C₂³	1	8	yes	—
323	C₄×D₁₇₂	C₂³	1	4	yes	complemented
324	C₄×D₁₇₂	C₂³	1	4	yes	complemented
325	D₄×Dic₄₃	C₂³	1	4	yes	—
326	D₄×Dic₄₃	C₂³	1	4	yes	—
327	D₄×Dic₄₃	C₂³	1	8	yes	—
328	D₄×Dic₄₃	C₂³	1	4	yes	complemented
329	D₄×Dic₄₃	C₂³	1	4	yes	complemented
330	#13063287	C₂³	1	4	yes	—
331	#13063287	C₂³	1	4	yes	—
332	#13063287	C₂³	1	8	yes	—
333	#13063287	C₂³	1	4	yes	complemented
334	#13063287	C₂³	1	4	yes	complemented
335	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	—
336	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	—
337	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	—
338	C₄×C₂²⋊D₄₃	C₂³	1	4	yes	—
339	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
340	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
341	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
342	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
343	(C₂²⋊D₄₃)⋊C₄	C₂³	1	4	yes	—
344	(C₂²⋊D₄₃)⋊C₄	C₂³	1	4	yes	—
345	(C₂²⋊D₄₃)⋊C₄	C₂³	1	4	yes	—
346	(C₂²⋊D₄₃)⋊C₄	C₂³	1	4	yes	—
347	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
348	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
349	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	complemented
350	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	complemented
351	#13063284	C₂³	1	4	yes	—
352	#13063284	C₂³	1	4	yes	—
353	#13063284	C₂³	1	2	yes	—
354	#13063284	C₂³	1	8	yes	complemented
355	#13063284	C₂³	1	4	yes	complemented
356	#13063283	C₂³	1	4	yes	—
357	#13063283	C₂³	1	4	yes	—
358	#13063283	C₂³	1	4	yes	—
359	#13063283	C₂³	1	4	yes	—
360	#13063283	C₂³	1	2	yes	—
361	#13063283	C₂³	1	2	yes	—
362	#13063283	C₂³	1	8	yes	complemented
363	#13063283	C₂³	1	8	yes	complemented
364	#13063283	C₂³	1	4	yes	complemented
365	#13063283	C₂³	1	4	yes	complemented
366	#13063282	C₂³	1	8	yes	—
367	#13063282	C₂³	1	8	yes	—
368	#13063282	C₂³	1	4	yes	—
369	#13063282	C₂³	1	8	yes	complemented
370	#13063282	C₂³	1	8	yes	complemented
371	#13063282	C₂³	1	8	yes	complemented
372	#13063281	C₂³	1	8	yes	—
373	#13063281	C₂³	1	8	yes	—
374	#13063281	C₂³	1	4	yes	—
375	#13063281	C₂³	1	8	yes	complemented
376	#13063281	C₂³	1	8	yes	complemented
377	#13063281	C₂³	1	8	yes	complemented
378	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
379	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
380	C₂×C₄⋊Dic₄₃	C₂³	1	4	yes	complemented
381	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
382	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
383	C₂×Dic₄₃⋊C₄	C₂³	1	8	yes	complemented
384	C₄⋊C₄×D₄₃	C₂³	1	4	yes	—
385	C₄⋊C₄×D₄₃	C₂³	1	4	yes	—
386	C₄⋊C₄×D₄₃	C₂³	1	4	yes	—
387	C₄⋊C₄×D₄₃	C₂³	1	4	yes	—
388	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
389	C₄⋊C₄×D₄₃	C₂³	1	8	yes	—
390	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
391	C₄⋊C₄×D₄₃	C₂³	1	4	yes	—
392	C₄⋊C₄×D₄₃	C₂³	1	8	yes	—
393	C₄⋊C₄×D₄₃	C₂³	1	4	yes	—
394	C₄⋊C₄×D₄₃	C₂³	1	4	yes	—
395	C₄⋊C₄×D₄₃	C₂³	1	4	yes	—
396	C₄⋊C₄×D₄₃	C₂³	1	8	yes	complemented
397	C₄⋊C₄×D₄₃	C₂³	1	4	yes	complemented
398	C₄⋊C₄×D₄₃	C₂³	1	4	yes	complemented
399	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
400	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
401	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
402	C₂²⋊C₄×D₄₃	C₂³	1	8	yes	—
403	C₂²⋊C₄×D₄₃	C₂³	1	8	yes	—
404	C₂²⋊C₄×D₄₃	C₂³	1	4	yes	—
405	C₂²⋊C₄×D₄₃	C₂³	1	4	yes	—
406	C₂²⋊C₄×D₄₃	C₂³	1	8	yes	—
407	C₂²⋊C₄×D₄₃	C₂³	1	8	yes	—
408	C₂²⋊C₄×D₄₃	C₂³	1	4	yes	—
409	C₂²⋊C₄×D₄₃	C₂³	1	4	yes	—
410	C₂²⋊C₄×D₄₃	C₂³	1	4	yes	—
411	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
412	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
413	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
414	C₄²×D₄₃	C₂³	1	4	yes	—
415	C₄²×D₄₃	C₂³	1	4	yes	—
416	C₄²×D₄₃	C₂³	1	4	yes	—
417	C₄²×D₄₃	C₂³	1	4	yes	—
418	C₄²×D₄₃	C₂³	1	4	yes	—
419	C₄²×D₄₃	C₂³	1	8	yes	—
420	C₂×#41×C₄₃	C₂³	1	2	yes	—
421	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
422	C₄⋊Q₈×C₄₃	C₂³	1	4	yes	complemented
423	#126×C₄₃	C₂³	1	8	yes	—
424	#126×C₄₃	C₂³	1	8	yes	complemented
425	#125×C₄₃	C₂³	1	4	yes	complemented
426	#125×C₄₃	C₂³	1	4	yes	complemented
427	#124×C₄₃	C₂³	1	8	yes	—
428	#124×C₄₃	C₂³	1	4	yes	complemented
429	#123×C₄₃	C₂³	1	4	yes	—
430	#123×C₄₃	C₂³	1	8	yes	—
431	C₂²⋊Q₈×C₄₃	C₂³	1	2	yes	—
432	C₂²⋊Q₈×C₄₃	C₂³	1	2	yes	—
433	C₂²⋊Q₈×C₄₃	C₂³	1	4	yes	—
434	C₂²⋊Q₈×C₄₃	C₂³	1	4	yes	complemented
435	#121×C₄₃	C₂³	1	2	yes	—
436	#121×C₄₃	C₂³	1	2	yes	—
437	#121×C₄₃	C₂³	1	4	yes	—
438	#121×C₄₃	C₂³	1	8	yes	—
439	#121×C₄₃	C₂³	1	4	yes	complemented
440	#120×C₄₃	C₂³	1	4	yes	—
441	C₄×Q₈×C₄₃	C₂³	1	4	yes	complemented
442	C₄×Q₈×C₄₃	C₂³	1	4	yes	complemented
443	C₄×D₄×C₄₃	C₂³	1	8	yes	—
444	C₄×D₄×C₄₃	C₂³	1	4	yes	—
445	C₄×D₄×C₄₃	C₂³	1	4	yes	—
446	C₄×D₄×C₄₃	C₂³	1	4	yes	complemented
447	C₄×D₄×C₄₃	C₂³	1	4	yes	complemented
448	#117×C₄₃	C₂³	1	4	yes	—
449	#117×C₄₃	C₂³	1	4	yes	—
450	#117×C₄₃	C₂³	1	2	yes	—
451	#117×C₄₃	C₂³	1	4	yes	complemented
452	#117×C₄₃	C₂³	1	8	yes	complemented
453	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
454	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
455	C₂×C₄⋊C₄×C₄₃	C₂³	1	4	yes	complemented
456	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
457	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
458	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
459	C₂³×D₄₃	—	2	4	no	—
460	C₂³×D₄₃	—	4	2	no	—
461	C₂³×D₄₃	—	4	2	no	—
462	C₂³×D₄₃	C₂⁴	1	2	yes	—
463	C₂³×D₄₃	C₂⁴	1	4	yes	—
464	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
465	C₂³×D₄₃	C₂⁴	1	2	yes	—
466	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
467	#41×C₄₃	—	2	8	no	—
468	C₂×Q₈×C₄₃	C₂⁴	1	2	yes	—
469	C₂×Q₈×C₄₃	C₂⁴	1	4	yes	—
470	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
471	C₂×D₄×C₄₃	C₂⁴	1	2	yes	—
472	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
473	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
474	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
475	C₂²×C₄×C₄₃	—	2	4	no	—
476	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
477	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
478	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
479	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
480	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
481	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
482	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
483	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
484	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
485	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
486	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
487	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
488	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
489	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
490	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
491	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
492	C₂²×Dic₄₃	—	2	4	no	—
493	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
494	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
495	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
496	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
497	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
498	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
499	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
500	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
501	#10621902	—	2	8	no	—
502	Q₈×D₄₃	—	2	8	no	—
503	Q₈×D₄₃	—	4	8	no	—
504	#10621900	—	2	16	no	—
505	#10621900	—	2	8	no	—
506	D₄×D₄₃	—	2	8	no	—
507	D₄×D₄₃	—	2	16	no	—
508	D₄×D₄₃	—	4	8	no	—
509	D₄×D₄₃	—	4	8	no	—
510	D₄×D₄₃	—	4	8	no	—
511	#10621898	—	2	8	no	—
512	#10621898	—	2	16	no	—
513	C₂×D₁₇₂	C₂⁴	1	4	yes	—
514	C₂×D₁₇₂	C₂⁴	1	2	yes	—
515	C₂×D₁₇₂	C₂⁴	1	4	yes	—
516	C₂×D₁₇₂	C₂⁴	1	4	yes	—
517	C₂×D₁₇₂	C₂⁴	1	4	yes	—
518	C₂×C₄×D₄₃	—	2	4	no	—
519	C₂×C₄×D₄₃	—	2	4	no	—
520	C₂×C₄×D₄₃	—	2	8	no	—
521	C₂×C₄×D₄₃	—	2	8	no	—
522	C₂×C₄×D₄₃	—	2	8	no	—
523	C₂×C₄×D₄₃	—	2	8	no	—
524	C₂×C₄×D₄₃	—	2	16	no	—
525	C₂×C₄×D₄₃	—	2	4	no	—
526	C₂×C₄×D₄₃	—	4	4	no	—
527	C₂×C₄×D₄₃	—	4	4	no	—
528	C₂×C₄×D₄₃	—	4	16	no	—
529	C₂×C₄×D₄₃	#41	1	8	yes	—
530	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
531	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
532	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
533	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
534	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
535	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
536	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
537	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
538	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
539	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
540	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
541	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
542	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
543	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
544	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
545	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
546	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
547	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
548	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
549	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
550	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
551	C₂×Dic₈₆	C₂⁴	1	4	yes	—
552	C₂×Dic₈₆	C₂⁴	1	2	yes	—
553	C₂×Dic₈₆	C₂⁴	1	8	yes	—
554	C₂×Dic₈₆	C₂⁴	1	4	yes	—
555	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
556	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
557	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
558	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
559	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
560	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
561	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
562	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
563	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
564	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
565	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
566	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
567	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
568	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
569	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
570	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
571	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
572	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
573	C₄²×C₄₃	C₂⁴	1	4	yes	—
574	C₄²×C₄₃	C₂⁴	1	4	yes	—
575	C₄²×C₄₃	C₂⁴	1	4	yes	—
576	C₄²×C₄₃	C₂⁴	1	8	yes	—
577	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
578	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
579	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
580	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
581	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
582	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
583	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
584	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
585	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
586	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
587	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
588	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
589	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
590	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
591	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
592	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
593	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
594	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
595	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
596	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
597	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
598	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
599	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
600	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
601	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
602	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
603	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
604	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
605	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
606	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
607	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
608	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
609	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
610	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
611	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
612	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
613	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
614	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
615	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
616	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
617	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
618	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
619	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
620	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
621	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
622	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
623	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
624	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
625	C₄×Dic₄₃	C₂⁴	1	4	yes	—
626	C₄×Dic₄₃	C₂⁴	1	4	yes	—
627	C₄×Dic₄₃	C₂⁴	1	4	yes	—
628	C₄×Dic₄₃	C₂⁴	1	4	yes	—
629	C₄×Dic₄₃	C₂⁴	1	4	yes	—
630	C₄×Dic₄₃	C₂⁴	1	4	yes	—
631	C₄×Dic₄₃	C₂⁴	1	4	yes	—
632	C₄×Dic₄₃	C₂⁴	1	4	yes	—
633	C₄×Dic₄₃	C₂⁴	1	8	yes	—
634	C₄×Dic₄₃	C₂⁴	1	8	yes	—
635	C₄×Dic₄₃	C₂⁴	1	8	yes	—
636	C₄×Dic₄₃	C₂⁴	1	4	yes	—
637	C₂³×C₄₃	—	2	2	no	—
638	C₂³×C₄₃	—	4	1	no	—
639	C₂³×C₄₃	—	4	1	no	—
640	C₂³×C₄₃	C₂⁵	1	2	yes	—
641	C₂³×C₄₃	C₂⁵	1	4	yes	—
642	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
643	C₂²×D₄₃	—	2	2	no	—
644	C₂²×D₄₃	—	2	2	no	—
645	C₂²×D₄₃	—	2	2	no	—
646	C₂²×D₄₃	—	2	4	no	—
647	C₂²×D₄₃	—	2	4	no	—
648	C₂²×D₄₃	—	2	8	no	—
649	C₂²×D₄₃	—	2	8	no	—
650	C₂²×D₄₃	—	2	8	no	—
651	C₂²×D₄₃	—	2	4	no	—
652	C₂²×D₄₃	—	2	4	no	—
653	C₂²×D₄₃	—	4	2	no	—
654	C₂²×D₄₃	—	4	2	no	—
655	C₂²×D₄₃	—	4	1	no	—
656	C₂²×D₄₃	—	4	1	no	—
657	C₂²×D₄₃	—	4	16	no	—
658	C₂²×D₄₃	C₂×#41	1	4	yes	—
659	C₂²×D₄₃	C₂⁵	1	2	yes	—
660	C₂²×D₄₃	C₂⁵	1	4	yes	—
661	C₂²×D₄₃	C₂⁵	1	1	yes	characteristic
662	C₂²×D₄₃	C₂⁵	1	1	yes	characteristic
663	Q₈×C₄₃	—	2	4	no	—
664	Q₈×C₄₃	—	4	4	no	—
665	D₄×C₄₃	—	2	8	no	—
666	D₄×C₄₃	—	2	4	no	—
667	D₄×C₄₃	—	4	4	no	—
668	D₄×C₄₃	—	4	4	no	—
669	D₄×C₄₃	—	4	4	no	—
670	C₂×C₄×C₄₃	—	2	2	no	—
671	C₂×C₄×C₄₃	—	2	4	no	—
672	C₂×C₄×C₄₃	—	2	4	no	—
673	C₂×C₄×C₄₃	—	2	8	no	—
674	C₂×C₄×C₄₃	—	4	2	no	—
675	C₂×C₄×C₄₃	—	4	2	no	—
676	C₂×C₄×C₄₃	—	4	8	no	—
677	C₂×C₄×C₄₃	C₂×#41	1	4	yes	—
678	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
679	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
680	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
681	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
682	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
683	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
684	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
685	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
686	C₂²⋊D₄₃	—	2	8	no	—
687	C₂²⋊D₄₃	—	2	8	no	—
688	C₂²⋊D₄₃	—	2	8	no	—
689	C₂²⋊D₄₃	—	4	4	no	—
690	C₂²⋊D₄₃	—	4	4	no	—
691	C₂²⋊D₄₃	—	4	8	no	—
692	C₂²⋊D₄₃	—	4	4	no	—
693	C₂²⋊D₄₃	—	4	4	no	—
694	C₂×Dic₄₃	—	2	2	no	—
695	C₂×Dic₄₃	—	2	4	no	—
696	C₂×Dic₄₃	—	2	4	no	—
697	C₂×Dic₄₃	—	2	8	no	—
698	C₂×Dic₄₃	—	4	2	no	—
699	C₂×Dic₄₃	—	4	2	no	—
700	C₂×Dic₄₃	—	4	8	no	—
701	C₂×Dic₄₃	C₂×#41	1	4	yes	—
702	C₂×Dic₄₃	C₂⁵	1	1	yes	characteristic
703	C₂×Dic₄₃	C₂⁵	1	1	yes	characteristic
704	C₂×Dic₄₃	C₂⁵	1	4	yes	—
705	C₂×Dic₄₃	C₂⁵	1	4	yes	—
706	C₂×Dic₄₃	C₂⁵	1	4	yes	—
707	C₂×Dic₄₃	C₂⁵	1	4	yes	—
708	C₂×Dic₄₃	C₂⁵	1	4	yes	—
709	C₂×Dic₄₃	C₂⁵	1	2	yes	—
710	D₁₇₂	—	2	8	no	—
711	D₁₇₂	—	2	4	no	—
712	D₁₇₂	—	4	4	no	—
713	D₁₇₂	—	4	4	no	—
714	D₁₇₂	—	4	4	no	—
715	C₄×D₄₃	—	2	2	no	—
716	C₄×D₄₃	—	2	2	no	—
717	C₄×D₄₃	—	2	2	no	—
718	C₄×D₄₃	—	2	2	no	—
719	C₄×D₄₃	—	2	8	no	—
720	C₄×D₄₃	—	2	8	no	—
721	C₄×D₄₃	—	2	8	no	—
722	C₄×D₄₃	—	2	8	no	—
723	C₄×D₄₃	—	2	8	no	—
724	C₄×D₄₃	—	2	4	no	—
725	C₄×D₄₃	—	2	4	no	—
726	C₄×D₄₃	—	2	8	no	—
727	C₄×D₄₃	—	2	4	no	—
728	C₄×D₄₃	—	2	4	no	—
729	C₄×D₄₃	—	2	8	no	—
730	C₄×D₄₃	—	4	4	no	—
731	C₄×D₄₃	—	4	4	no	—
732	C₄×D₄₃	—	4	8	no	—
733	C₄×D₄₃	—	4	8	no	—
734	C₄×D₄₃	C₂×#41	1	8	yes	—
735	C₄×D₄₃	C₂×#41	1	8	yes	—
736	Dic₈₆	—	2	4	no	—
737	Dic₈₆	—	2	8	no	—
738	Dic₈₆	—	4	4	no	—
739	Dic₈₆	—	4	8	no	—
740	C₂×#3493	—	43	1	no	maximal, Sylow
741	C₂²×C₄₃	—	2	1	no	—
742	C₂²×C₄₃	—	2	1	no	—
743	C₂²×C₄₃	—	2	2	no	—
744	C₂²×C₄₃	—	2	4	no	—
745	C₂²×C₄₃	—	2	2	no	—
746	C₂²×C₄₃	—	2	2	no	—
747	C₂²×C₄₃	—	2	4	no	—
748	C₂²×C₄₃	—	2	4	no	—
749	C₂²×C₄₃	—	4	4	no	—
750	C₂²×C₄₃	C₂²×#41	1	2	yes	—
751	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
752	C₂×D₄₃	—	2	1	no	—
753	C₂×D₄₃	—	2	1	no	—
754	C₂×D₄₃	—	2	8	no	—
755	C₂×D₄₃	—	2	2	no	—
756	C₂×D₄₃	—	2	4	no	—
757	C₂×D₄₃	—	2	2	no	—
758	C₂×D₄₃	—	2	2	no	—
759	C₂×D₄₃	—	2	4	no	—
760	C₂×D₄₃	—	2	4	no	—
761	C₂×D₄₃	—	4	8	no	—
762	C₂×D₄₃	—	4	4	no	—
763	C₂×D₄₃	—	4	16	no	—
764	C₂×D₄₃	—	4	8	no	—
765	C₂×D₄₃	C₂²×#41	1	2	yes	—
766	C₂×D₄₃	C₂²×#41	1	2	yes	—
767	C₂×D₄₃	#585	1	2	yes	—
768	C₂×D₄₃	#585	1	2	yes	—
769	C₄×C₄₃	—	2	4	no	—
770	C₄×C₄₃	—	2	1	no	—
771	C₄×C₄₃	—	2	1	no	—
772	C₄×C₄₃	—	2	4	no	—
773	C₄×C₄₃	—	2	4	no	—
774	C₄×C₄₃	—	2	4	no	—
775	C₄×C₄₃	—	2	4	no	—
776	C₄×C₄₃	C₂²×#41	1	4	yes	—
777	Dic₄₃	—	2	4	no	—
778	Dic₄₃	—	2	1	no	—
779	Dic₄₃	—	2	1	no	—
780	Dic₄₃	—	2	4	no	—
781	Dic₄₃	—	2	4	no	—
782	Dic₄₃	—	2	4	no	—
783	Dic₄₃	—	2	4	no	—
784	Dic₄₃	C₂²×#41	1	4	yes	—
785	#3493	—	43	4	no	—
786	#3493	—	43	4	no	—
787	#3493	—	43	4	no	—
788	#3493	—	43	4	no	—
789	#3493	—	43	1	no	—
790	#3493	—	43	4	no	—
791	#3493	—	43	1	no	—
792	#3493	—	43	4	no	—
793	#3493	—	43	2	no	—
794	#3493	—	43	2	no	—
795	#3493	—	43	1	no	—
796	#3493	D₄₃	1	1	yes	characteristic, direct product factor
797	C₂×#556	—	43	4	no	—
798	C₂×#555	—	43	4	no	—
799	C₂×#553	—	43	4	no	—
800	C₂×#552	—	43	4	no	—
801	C₂×#544	—	43	1	no	—
802	C₂×#538	—	43	4	no	—
803	C₂×#537	—	43	1	no	—
804	C₂×#529	—	43	4	no	—
805	C₂×#525	—	43	2	no	—
806	C₂×#520	—	43	2	no	—
807	C₂²×#117	—	43	1	no	—
808	C₂×C₄₃	—	2	2	no	—
809	C₂×C₄₃	—	4	2	no	—
810	C₂×C₄₃	—	4	4	no	—
811	C₂×C₄₃	C₂³×#41	1	1	yes	characteristic
812	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
813	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
814	D₄₃	—	2	2	no	—
815	D₄₃	—	4	4	no	—
816	D₄₃	—	4	2	no	—
817	D₄₃	#3493	1	4	yes	direct product factor
818	C₂²×#41	—	43	2	no	—
819	C₂⁴×C₄	—	43	1	no	—
820	#556	—	43	4	no	—
821	#556	—	43	8	no	—
822	#556	—	43	8	no	—
823	#556	—	43	8	no	—
824	#556	—	43	4	no	—
825	#556	—	43	4	no	—
826	#556	—	43	8	no	—
827	#556	—	43	4	no	—
828	#556	—	43	4	no	—
829	#556	—	43	4	no	—
830	#556	—	43	4	no	—
831	#556	C₂×D₄₃	1	4	yes	complemented
832	#555	—	43	4	no	—
833	#555	—	43	8	no	—
834	#555	—	43	8	no	—
835	#555	—	43	4	no	—
836	#555	—	43	8	no	—
837	#555	—	43	4	no	—
838	#555	—	43	4	no	—
839	#555	—	43	4	no	—
840	#555	—	43	4	no	—
841	#555	—	43	4	no	—
842	#555	—	43	8	no	—
843	#555	C₂×D₄₃	1	4	yes	complemented
844	#553	—	43	8	no	—
845	#553	—	43	4	no	—
846	#553	—	43	8	no	—
847	#553	—	43	8	no	—
848	#553	—	43	4	no	—
849	#553	—	43	4	no	—
850	#553	—	43	4	no	—
851	#553	—	43	8	no	—
852	#553	—	43	4	no	—
853	#553	—	43	4	no	—
854	#553	—	43	4	no	—
855	#553	C₂×D₄₃	1	4	yes	complemented
856	#552	—	43	8	no	—
857	#552	—	43	8	no	—
858	#552	—	43	4	no	—
859	#552	—	43	8	no	—
860	#552	—	43	4	no	—
861	#552	—	43	4	no	—
862	#552	—	43	4	no	—
863	#552	—	43	4	no	—
864	#552	—	43	4	no	—
865	#552	—	43	8	no	—
866	#552	—	43	4	no	—
867	#552	C₂×D₄₃	1	4	yes	complemented
868	#544	—	43	4	no	—
869	#544	—	43	4	no	—
870	#544	—	43	4	no	—
871	#544	—	43	2	no	—
872	#544	—	43	1	no	—
873	#544	C₂×D₄₃	1	1	yes	characteristic, complemented
874	#538	—	43	8	no	—
875	#538	—	43	8	no	—
876	#538	—	43	8	no	—
877	#538	—	43	4	no	—
878	#538	—	43	8	no	—
879	#538	—	43	4	no	—
880	#538	—	43	8	no	—
881	#538	—	43	8	no	—
882	#538	—	43	4	no	—
883	#538	C₂×D₄₃	1	4	yes	complemented
884	#537	—	43	2	no	—
885	#537	—	43	4	no	—
886	#537	—	43	4	no	—
887	#537	—	43	4	no	—
888	#537	—	43	1	no	—
889	#537	C₂×D₄₃	1	1	yes	characteristic, complemented
890	C₂×C₄⋊Q₈	—	43	4	no	—
891	#529	—	43	8	no	—
892	#529	—	43	4	no	—
893	#529	—	43	4	no	—
894	#529	—	43	8	no	—
895	#529	—	43	4	no	—
896	#529	—	43	4	no	—
897	#529	—	43	4	no	—
898	#529	—	43	8	no	—
899	#529	—	43	4	no	—
900	#529	—	43	8	no	—
901	#529	—	43	4	no	—
902	#529	C₂×D₄₃	1	4	yes	complemented
903	C₂×#126	—	43	8	no	—
904	C₂×#126	—	43	8	no	—
905	C₂×#125	—	43	4	no	—
906	C₂×#125	—	43	4	no	—
907	C₂×#124	—	43	8	no	—
908	C₂×#124	—	43	4	no	—
909	#525	—	43	2	no	—
910	#525	—	43	2	no	—
911	#525	—	43	4	no	—
912	#525	—	43	2	no	—
913	#525	—	43	2	no	—
914	#525	—	43	2	no	—
915	#525	—	43	2	no	—
916	#525	—	43	4	no	—
917	#525	—	43	4	no	—
918	#525	—	43	4	no	—
919	#525	—	43	2	no	—
920	#525	C₂×D₄₃	1	2	yes	complemented
921	C₂×#123	—	43	4	no	—
922	C₂×#123	—	43	8	no	—
923	C₂×C₂²⋊Q₈	—	43	2	no	—
924	C₂×C₂²⋊Q₈	—	43	2	no	—
925	C₂×C₂²⋊Q₈	—	43	4	no	—
926	C₂×C₂²⋊Q₈	—	43	4	no	—
927	C₂×#121	—	43	2	no	—
928	C₂×#121	—	43	2	no	—
929	C₂×#121	—	43	4	no	—
930	C₂×#121	—	43	8	no	—
931	C₂×#121	—	43	4	no	—
932	C₂×#120	—	43	4	no	—
933	#520	—	43	2	no	—
934	#520	—	43	4	no	—
935	#520	—	43	8	no	—
936	#520	—	43	4	no	—
937	#520	—	43	2	no	—
938	#520	—	43	4	no	—
939	#520	—	43	2	no	—
940	#520	—	43	4	no	—
941	#520	C₂×D₄₃	1	2	yes	complemented
942	C₂×C₄×Q₈	—	43	4	no	—
943	C₂×C₄×Q₈	—	43	4	no	—
944	C₂×C₄×D₄	—	43	8	no	—
945	C₂×C₄×D₄	—	43	4	no	—
946	C₂×C₄×D₄	—	43	4	no	—
947	C₂×C₄×D₄	—	43	4	no	—
948	C₂×C₄×D₄	—	43	4	no	—
949	C₂×#117	—	43	1	no	—
950	C₂×#117	—	43	4	no	—
951	C₂×#117	—	43	4	no	—
952	C₂×#117	—	43	2	no	—
953	C₂×#117	—	43	4	no	—
954	C₂×#117	—	43	4	no	—
955	C₂×#117	—	43	4	no	—
956	C₂×#117	—	43	8	no	—
957	C₂×#117	—	43	1	no	—
958	C₂×#117	—	43	1	no	—
959	C₂×#117	—	43	2	no	—
960	C₂×#117	—	43	2	no	—
961	C₂×#117	C₂×D₄₃	1	1	yes	characteristic, complemented
962	C₂²×C₄⋊C₄	—	43	1	no	—
963	C₂²×C₄⋊C₄	—	43	1	no	—
964	C₂²×C₄⋊C₄	—	43	4	no	—
965	C₂²×C₂²⋊C₄	—	43	2	no	—
966	C₂²×C₄²	—	43	2	no	—
967	C₄₃	C₂×#3493	1	1	yes	characteristic, complemented, Sylow
968	C₂⁵	—	43	1	no	—
969	C₂×#41	—	43	2	no	—
970	C₂×#41	—	43	4	no	—
971	C₂×#41	—	43	2	no	—
972	C₂×#41	—	43	4	no	—
973	C₂×#41	—	43	2	no	—
974	C₂×#41	—	86	16	no	—
975	C₂×#41	C₂²×D₄₃	1	2	yes	—
976	C₂²×Q₈	—	43	2	no	—
977	C₂²×Q₈	—	43	4	no	—
978	C₂²×D₄	—	43	4	no	—
979	C₂²×D₄	—	43	2	no	—
980	C₂²×D₄	—	43	4	no	—
981	C₂²×D₄	—	43	4	no	—
982	C₂²×D₄	—	43	4	no	—
983	C₂³×C₄	—	43	1	no	—
984	C₂³×C₄	—	43	1	no	—
985	C₂³×C₄	—	43	4	no	—
986	C₂³×C₄	—	43	2	no	—
987	C₂³×C₄	—	43	2	no	—
988	C₂³×C₄	—	43	1	no	—
989	C₂³×C₄	—	43	2	no	—
990	C₂³×C₄	—	43	2	no	—
991	C₂³×C₄	—	43	1	no	—
992	C₂³×C₄	—	43	1	no	—
993	C₂³×C₄	—	43	2	no	—
994	C₂³×C₄	—	43	2	no	—
995	C₂³×C₄	—	43	8	no	—
996	C₂³×C₄	—	86	8	no	—
997	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
998	C₄⋊Q₈	—	43	8	no	—
999	C₄⋊Q₈	—	43	8	no	—
1000	C₄⋊Q₈	—	43	4	no	—
1001	C₄⋊Q₈	—	43	4	no	—
1002	C₄⋊Q₈	—	43	4	no	—
1003	C₄⋊Q₈	C₂²×D₄₃	1	4	yes	complemented
1004	#126	—	43	8	no	—
1005	#126	—	43	8	no	—
1006	#126	—	43	8	no	—
1007	#126	—	43	8	no	—
1008	#126	—	43	8	no	—
1009	#126	—	43	8	no	—
1010	#126	—	43	8	no	—
1011	#126	—	43	8	no	—
1012	#126	—	43	8	no	—
1013	#126	—	43	8	no	—
1014	#126	—	43	8	no	—
1015	#126	—	43	8	no	—
1016	#126	—	43	8	no	—
1017	#126	—	43	8	no	—
1018	#126	C₂²×D₄₃	1	8	yes	—
1019	#126	C₂²×D₄₃	1	8	yes	complemented
1020	#125	—	43	8	no	—
1021	#125	—	43	8	no	—
1022	#125	—	43	4	no	—
1023	#125	—	43	4	no	—
1024	#125	—	43	8	no	—
1025	#125	—	43	8	no	—
1026	#125	—	43	4	no	—
1027	#125	—	43	4	no	—
1028	#125	—	43	4	no	—
1029	#125	—	43	4	no	—
1030	#125	C₂²×D₄₃	1	4	yes	complemented
1031	#125	C₂²×D₄₃	1	4	yes	complemented
1032	#124	—	43	4	no	—
1033	#124	—	43	8	no	—
1034	#124	—	43	4	no	—
1035	#124	—	43	8	no	—
1036	#124	—	43	8	no	—
1037	#124	—	43	8	no	—
1038	#124	—	43	8	no	—
1039	#124	—	43	8	no	—
1040	#124	—	43	8	no	—
1041	#124	—	43	8	no	—
1042	#124	—	43	4	no	—
1043	#124	—	43	8	no	—
1044	#124	C₂²×D₄₃	1	8	yes	—
1045	#124	C₂²×D₄₃	1	4	yes	complemented
1046	#123	—	43	4	no	—
1047	#123	—	43	8	no	—
1048	#123	—	43	4	no	—
1049	#123	—	43	8	no	—
1050	#123	—	43	4	no	—
1051	#123	—	43	4	no	—
1052	#123	—	43	8	no	—
1053	#123	—	43	8	no	—
1054	#123	—	43	4	no	—
1055	#123	—	43	4	no	—
1056	#123	—	43	4	no	—
1057	#123	—	43	8	no	—
1058	#123	—	43	8	no	—
1059	#123	—	43	8	no	—
1060	#123	C₂²×D₄₃	1	4	yes	—
1061	#123	C₂²×D₄₃	1	8	yes	—
1062	C₂²⋊Q₈	—	43	2	no	—
1063	C₂²⋊Q₈	—	43	2	no	—
1064	C₂²⋊Q₈	—	43	4	no	—
1065	C₂²⋊Q₈	—	43	4	no	—
1066	C₂²⋊Q₈	—	43	2	no	—
1067	C₂²⋊Q₈	—	43	2	no	—
1068	C₂²⋊Q₈	—	43	4	no	—
1069	C₂²⋊Q₈	—	43	4	no	—
1070	C₂²⋊Q₈	—	43	4	no	—
1071	C₂²⋊Q₈	—	43	2	no	—
1072	C₂²⋊Q₈	—	43	4	no	—
1073	C₂²⋊Q₈	—	43	2	no	—
1074	C₂²⋊Q₈	—	43	8	no	—
1075	C₂²⋊Q₈	—	43	4	no	—
1076	C₂²⋊Q₈	—	43	8	no	—
1077	C₂²⋊Q₈	—	43	4	no	—
1078	C₂²⋊Q₈	—	43	4	no	—
1079	C₂²⋊Q₈	—	43	4	no	—
1080	C₂²⋊Q₈	—	43	8	no	—
1081	C₂²⋊Q₈	—	43	8	no	—
1082	C₂²⋊Q₈	C₂²×D₄₃	1	2	yes	—
1083	C₂²⋊Q₈	C₂²×D₄₃	1	2	yes	—
1084	C₂²⋊Q₈	C₂²×D₄₃	1	4	yes	—
1085	C₂²⋊Q₈	C₂²×D₄₃	1	4	yes	complemented
1086	#121	—	43	2	no	—
1087	#121	—	43	4	no	—
1088	#121	—	43	2	no	—
1089	#121	—	43	4	no	—
1090	#121	—	43	4	no	—
1091	#121	—	43	8	no	—
1092	#121	—	43	4	no	—
1093	#121	—	43	8	no	—
1094	#121	—	43	8	no	—
1095	#121	—	43	8	no	—
1096	#121	—	43	8	no	—
1097	#121	—	43	2	no	—
1098	#121	—	43	2	no	—
1099	#121	—	43	4	no	—
1100	#121	—	43	4	no	—
1101	#121	—	43	8	no	—
1102	#121	—	43	2	no	—
1103	#121	—	43	2	no	—
1104	#121	—	43	4	no	—
1105	#121	—	43	4	no	—
1106	#121	—	43	8	no	—
1107	#121	—	43	4	no	—
1108	#121	—	43	4	no	—
1109	#121	—	43	8	no	—
1110	#121	—	43	8	no	—
1111	#121	—	43	8	no	—
1112	#121	—	43	8	no	—
1113	#121	C₂²×D₄₃	1	2	yes	—
1114	#121	C₂²×D₄₃	1	2	yes	—
1115	#121	C₂²×D₄₃	1	4	yes	—
1116	#121	C₂²×D₄₃	1	8	yes	—
1117	#121	C₂²×D₄₃	1	4	yes	complemented
1118	#120	—	43	4	no	—
1119	#120	—	43	4	no	—
1120	#120	—	43	4	no	—
1121	#120	—	43	4	no	—
1122	#120	—	43	4	no	—
1123	#120	—	43	4	no	—
1124	#120	—	43	4	no	—
1125	#120	C₂²×D₄₃	1	4	yes	—
1126	C₄×Q₈	—	43	4	no	—
1127	C₄×Q₈	—	43	4	no	—
1128	C₄×Q₈	—	43	8	no	—
1129	C₄×Q₈	—	43	4	no	—
1130	C₄×Q₈	—	43	4	no	—
1131	C₄×Q₈	—	43	8	no	—
1132	C₄×Q₈	—	43	4	no	—
1133	C₄×Q₈	—	43	8	no	—
1134	C₄×Q₈	—	43	8	no	—
1135	C₄×Q₈	—	43	4	no	—
1136	C₄×Q₈	C₂²×D₄₃	1	4	yes	complemented
1137	C₄×Q₈	C₂²×D₄₃	1	4	yes	complemented
1138	C₄×D₄	—	43	8	no	—
1139	C₄×D₄	—	43	4	no	—
1140	C₄×D₄	—	43	4	no	—
1141	C₄×D₄	—	43	4	no	—
1142	C₄×D₄	—	43	4	no	—
1143	C₄×D₄	—	43	8	no	—
1144	C₄×D₄	—	43	8	no	—
1145	C₄×D₄	—	43	8	no	—
1146	C₄×D₄	—	43	4	no	—
1147	C₄×D₄	—	43	4	no	—
1148	C₄×D₄	—	43	4	no	—
1149	C₄×D₄	—	43	4	no	—
1150	C₄×D₄	—	43	8	no	—
1151	C₄×D₄	—	43	8	no	—
1152	C₄×D₄	—	43	4	no	—
1153	C₄×D₄	—	43	4	no	—
1154	C₄×D₄	—	43	4	no	—
1155	C₄×D₄	—	43	4	no	—
1156	C₄×D₄	—	43	8	no	—
1157	C₄×D₄	—	43	8	no	—
1158	C₄×D₄	—	43	8	no	—
1159	C₄×D₄	—	43	4	no	—
1160	C₄×D₄	—	43	4	no	—
1161	C₄×D₄	—	43	4	no	—
1162	C₄×D₄	—	43	4	no	—
1163	C₄×D₄	—	43	8	no	—
1164	C₄×D₄	—	43	8	no	—
1165	C₄×D₄	—	43	4	no	—
1166	C₄×D₄	—	43	4	no	—
1167	C₄×D₄	—	43	4	no	—
1168	C₄×D₄	—	43	4	no	—
1169	C₄×D₄	C₂²×D₄₃	1	8	yes	—
1170	C₄×D₄	C₂²×D₄₃	1	4	yes	—
1171	C₄×D₄	C₂²×D₄₃	1	4	yes	—
1172	C₄×D₄	C₂²×D₄₃	1	4	yes	complemented
1173	C₄×D₄	C₂²×D₄₃	1	4	yes	complemented
1174	#117	—	43	4	no	—
1175	#117	—	43	4	no	—
1176	#117	—	43	2	no	—
1177	#117	—	43	4	no	—
1178	#117	—	43	8	no	—
1179	#117	—	43	4	no	—
1180	#117	—	43	4	no	—
1181	#117	—	43	4	no	—
1182	#117	—	43	4	no	—
1183	#117	—	43	2	no	—
1184	#117	—	43	2	no	—
1185	#117	—	43	4	no	—
1186	#117	—	43	4	no	—
1187	#117	—	43	8	no	—
1188	#117	—	43	8	no	—
1189	#117	—	43	8	no	—
1190	#117	—	43	8	no	—
1191	#117	—	43	4	no	—
1192	#117	—	43	8	no	—
1193	#117	—	43	8	no	—
1194	#117	—	43	8	no	—
1195	#117	—	43	8	no	—
1196	#117	—	43	8	no	—
1197	#117	—	43	4	no	—
1198	#117	—	43	8	no	—
1199	#117	—	43	8	no	—
1200	#117	—	43	8	no	—
1201	#117	C₂²×D₄₃	1	4	yes	—
1202	#117	C₂²×D₄₃	1	4	yes	—
1203	#117	C₂²×D₄₃	1	2	yes	—
1204	#117	C₂²×D₄₃	1	4	yes	complemented
1205	#117	C₂²×D₄₃	1	8	yes	complemented
1206	C₂×C₄⋊C₄	—	43	2	no	—
1207	C₂×C₄⋊C₄	—	43	1	no	—
1208	C₂×C₄⋊C₄	—	43	2	no	—
1209	C₂×C₄⋊C₄	—	43	1	no	—
1210	C₂×C₄⋊C₄	—	43	8	no	—
1211	C₂×C₄⋊C₄	—	43	4	no	—
1212	C₂×C₄⋊C₄	—	43	4	no	—
1213	C₂×C₄⋊C₄	—	43	2	no	—
1214	C₂×C₄⋊C₄	—	43	4	no	—
1215	C₂×C₄⋊C₄	—	43	4	no	—
1216	C₂×C₄⋊C₄	—	43	4	no	—
1217	C₂×C₄⋊C₄	—	43	8	no	—
1218	C₂×C₄⋊C₄	—	43	8	no	—
1219	C₂×C₄⋊C₄	—	43	4	no	—
1220	C₂×C₄⋊C₄	—	43	4	no	—
1221	C₂×C₄⋊C₄	—	43	2	no	—
1222	C₂×C₄⋊C₄	—	43	4	no	—
1223	C₂×C₄⋊C₄	—	43	8	no	—
1224	C₂×C₄⋊C₄	—	43	4	no	—
1225	C₂×C₄⋊C₄	—	43	4	no	—
1226	C₂×C₄⋊C₄	—	43	4	no	—
1227	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1228	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1229	C₂×C₄⋊C₄	C₂²×D₄₃	1	4	yes	complemented
1230	C₂×C₂²⋊C₄	—	43	2	no	—
1231	C₂×C₂²⋊C₄	—	43	2	no	—
1232	C₂×C₂²⋊C₄	—	43	2	no	—
1233	C₂×C₂²⋊C₄	—	43	8	no	—
1234	C₂×C₂²⋊C₄	—	43	8	no	—
1235	C₂×C₂²⋊C₄	—	43	4	no	—
1236	C₂×C₂²⋊C₄	—	43	4	no	—
1237	C₂×C₂²⋊C₄	—	43	8	no	—
1238	C₂×C₂²⋊C₄	—	43	8	no	—
1239	C₂×C₂²⋊C₄	—	43	4	no	—
1240	C₂×C₂²⋊C₄	—	43	4	no	—
1241	C₂×C₂²⋊C₄	—	43	4	no	—
1242	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1243	C₂×C₄²	—	43	2	no	—
1244	C₂×C₄²	—	43	2	no	—
1245	C₂×C₄²	—	43	2	no	—
1246	C₂×C₄²	—	43	4	no	—
1247	C₂×C₄²	—	43	8	no	—
1248	C₂×C₄²	—	43	4	no	—
1249	C₂×C₄²	—	43	4	no	—
1250	C₂×C₄²	—	43	4	no	—
1251	C₂×C₄²	—	43	4	no	—
1252	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
1253	C₂⁴	—	43	1	no	—
1254	C₂⁴	—	43	2	no	—
1255	C₂⁴	—	43	4	no	—
1256	C₂⁴	—	43	2	no	—
1257	C₂⁴	—	43	1	no	—
1258	C₂⁴	—	86	4	no	—
1259	C₂⁴	—	172	2	no	—
1260	C₂⁴	—	172	2	no	—
1261	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1262	#41	—	2	8	no	—
1263	#41	—	86	16	no	—
1264	#41	—	86	16	no	—
1265	#41	—	86	8	no	—
1266	#41	—	86	8	no	—
1267	#41	—	86	8	no	—
1268	C₂×Q₈	—	43	4	no	—
1269	C₂×Q₈	—	43	2	no	—
1270	C₂×Q₈	—	43	4	no	—
1271	C₂×Q₈	—	43	8	no	—
1272	C₂×Q₈	—	86	8	no	—
1273	C₂×Q₈	—	172	8	no	—
1274	C₂×Q₈	C₂³×D₄₃	1	2	yes	—
1275	C₂×Q₈	C₂³×D₄₃	1	4	yes	—
1276	C₂×D₄	—	43	4	no	—
1277	C₂×D₄	—	43	4	no	—
1278	C₂×D₄	—	43	4	no	—
1279	C₂×D₄	—	43	4	no	—
1280	C₂×D₄	—	43	4	no	—
1281	C₂×D₄	—	43	4	no	—
1282	C₂×D₄	—	43	4	no	—
1283	C₂×D₄	—	43	8	no	—
1284	C₂×D₄	—	43	4	no	—
1285	C₂×D₄	—	43	2	no	—
1286	C₂×D₄	—	43	4	no	—
1287	C₂×D₄	—	43	4	no	—
1288	C₂×D₄	—	43	4	no	—
1289	C₂×D₄	—	86	8	no	—
1290	C₂×D₄	—	86	16	no	—
1291	C₂×D₄	—	172	8	no	—
1292	C₂×D₄	—	172	8	no	—
1293	C₂×D₄	—	172	8	no	—
1294	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1295	C₂×D₄	C₂³×D₄₃	1	2	yes	—
1296	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1297	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1298	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1299	C₂²×C₄	—	2	4	no	—
1300	C₂²×C₄	—	43	1	no	—
1301	C₂²×C₄	—	43	8	no	—
1302	C₂²×C₄	—	43	2	no	—
1303	C₂²×C₄	—	43	2	no	—
1304	C₂²×C₄	—	43	1	no	—
1305	C₂²×C₄	—	43	4	no	—
1306	C₂²×C₄	—	43	2	no	—
1307	C₂²×C₄	—	43	2	no	—
1308	C₂²×C₄	—	43	2	no	—
1309	C₂²×C₄	—	43	2	no	—
1310	C₂²×C₄	—	43	8	no	—
1311	C₂²×C₄	—	43	1	no	—
1312	C₂²×C₄	—	43	1	no	—
1313	C₂²×C₄	—	43	4	no	—
1314	C₂²×C₄	—	43	1	no	—
1315	C₂²×C₄	—	43	1	no	—
1316	C₂²×C₄	—	43	4	no	—
1317	C₂²×C₄	—	43	4	no	—
1318	C₂²×C₄	—	43	4	no	—
1319	C₂²×C₄	—	43	4	no	—
1320	C₂²×C₄	—	43	4	no	—
1321	C₂²×C₄	—	43	4	no	—
1322	C₂²×C₄	—	43	2	no	—
1323	C₂²×C₄	—	43	2	no	—
1324	C₂²×C₄	—	43	2	no	—
1325	C₂²×C₄	—	43	2	no	—
1326	C₂²×C₄	—	43	4	no	—
1327	C₂²×C₄	—	43	4	no	—
1328	C₂²×C₄	—	43	8	no	—
1329	C₂²×C₄	—	43	8	no	—
1330	C₂²×C₄	—	86	4	no	—
1331	C₂²×C₄	—	86	8	no	—
1332	C₂²×C₄	—	86	8	no	—
1333	C₂²×C₄	—	86	8	no	—
1334	C₂²×C₄	—	86	8	no	—
1335	C₂²×C₄	—	86	16	no	—
1336	C₂²×C₄	—	86	4	no	—
1337	C₂²×C₄	—	86	4	no	—
1338	C₂²×C₄	—	86	4	no	—
1339	C₂²×C₄	—	172	4	no	—
1340	C₂²×C₄	—	172	16	no	—
1341	C₂²×C₄	—	172	4	no	—
1342	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1343	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1344	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1345	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1346	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1347	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1348	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1349	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1350	C₄⋊C₄	—	43	8	no	—
1351	C₄⋊C₄	—	43	4	no	—
1352	C₄⋊C₄	—	43	4	no	—
1353	C₄⋊C₄	—	43	2	no	—
1354	C₄⋊C₄	—	43	8	no	—
1355	C₄⋊C₄	—	43	4	no	—
1356	C₄⋊C₄	—	43	8	no	—
1357	C₄⋊C₄	—	43	8	no	—
1358	C₄⋊C₄	—	43	8	no	—
1359	C₄⋊C₄	—	43	4	no	—
1360	C₄⋊C₄	—	43	2	no	—
1361	C₄⋊C₄	—	43	4	no	—
1362	C₄⋊C₄	—	43	4	no	—
1363	C₄⋊C₄	—	43	4	no	—
1364	C₄⋊C₄	—	43	8	no	—
1365	C₄⋊C₄	—	43	8	no	—
1366	C₄⋊C₄	—	43	8	no	—
1367	C₄⋊C₄	—	43	4	no	—
1368	C₄⋊C₄	—	43	4	no	—
1369	C₄⋊C₄	—	43	4	no	—
1370	C₄⋊C₄	—	43	8	no	—
1371	C₄⋊C₄	—	43	4	no	—
1372	C₄⋊C₄	—	43	8	no	—
1373	C₄⋊C₄	—	43	4	no	—
1374	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1375	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
1376	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1377	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1378	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
1379	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1380	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1381	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1382	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1383	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1384	C₂²⋊C₄	—	43	8	no	—
1385	C₂²⋊C₄	—	43	4	no	—
1386	C₂²⋊C₄	—	43	4	no	—
1387	C₂²⋊C₄	—	43	8	no	—
1388	C₂²⋊C₄	—	43	8	no	—
1389	C₂²⋊C₄	—	43	4	no	—
1390	C₂²⋊C₄	—	43	4	no	—
1391	C₂²⋊C₄	—	43	4	no	—
1392	C₂²⋊C₄	—	43	8	no	—
1393	C₂²⋊C₄	—	43	8	no	—
1394	C₂²⋊C₄	—	43	4	no	—
1395	C₂²⋊C₄	—	43	4	no	—
1396	C₂²⋊C₄	—	43	4	no	—
1397	C₂²⋊C₄	—	43	4	no	—
1398	C₂²⋊C₄	—	43	8	no	—
1399	C₂²⋊C₄	—	43	8	no	—
1400	C₂²⋊C₄	—	43	8	no	—
1401	C₂²⋊C₄	—	43	8	no	—
1402	C₂²⋊C₄	—	43	4	no	—
1403	C₂²⋊C₄	—	43	4	no	—
1404	C₂²⋊C₄	—	43	4	no	—
1405	C₂²⋊C₄	—	43	4	no	—
1406	C₂²⋊C₄	—	43	4	no	—
1407	C₂²⋊C₄	—	43	4	no	—
1408	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1409	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1410	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1411	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1412	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1413	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1414	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1415	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1416	C₄²	—	43	4	no	—
1417	C₄²	—	43	4	no	—
1418	C₄²	—	43	4	no	—
1419	C₄²	—	43	4	no	—
1420	C₄²	—	43	4	no	—
1421	C₄²	—	43	4	no	—
1422	C₄²	—	43	8	no	—
1423	C₄²	—	43	8	no	—
1424	C₄²	—	43	8	no	—
1425	C₄²	—	43	4	no	—
1426	C₄²	—	43	4	no	—
1427	C₄²	—	43	4	no	—
1428	C₄²	C₂³×D₄₃	1	4	yes	—
1429	C₄²	C₂³×D₄₃	1	4	yes	—
1430	C₄²	C₂³×D₄₃	1	8	yes	—
1431	C₄²	C₂³×D₄₃	1	4	yes	—
1432	C₂³	—	2	2	no	—
1433	C₂³	—	4	1	no	—
1434	C₂³	—	4	1	no	—
1435	C₂³	—	43	1	no	—
1436	C₂³	—	43	4	no	—
1437	C₂³	—	43	1	no	—
1438	C₂³	—	43	2	no	—
1439	C₂³	—	43	4	no	—
1440	C₂³	—	86	2	no	—
1441	C₂³	—	86	2	no	—
1442	C₂³	—	86	4	no	—
1443	C₂³	—	86	4	no	—
1444	C₂³	—	86	8	no	—
1445	C₂³	—	86	8	no	—
1446	C₂³	—	86	8	no	—
1447	C₂³	—	86	4	no	—
1448	C₂³	—	86	4	no	—
1449	C₂³	—	86	2	no	—
1450	C₂³	—	172	1	no	—
1451	C₂³	—	172	1	no	—
1452	C₂³	—	172	2	no	—
1453	C₂³	—	172	2	no	—
1454	C₂³	—	172	16	no	—
1455	C₂³	C₂⁴×D₄₃	1	2	yes	—
1456	C₂³	C₂⁴×D₄₃	1	4	yes	—
1457	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1458	Q₈	—	2	4	no	—
1459	Q₈	—	4	4	no	—
1460	Q₈	—	86	8	no	—
1461	Q₈	—	86	4	no	—
1462	Q₈	—	172	4	no	—
1463	Q₈	—	172	8	no	—
1464	D₄	—	2	8	no	—
1465	D₄	—	2	4	no	—
1466	D₄	—	4	4	no	—
1467	D₄	—	4	4	no	—
1468	D₄	—	4	4	no	—
1469	D₄	—	86	8	no	—
1470	D₄	—	86	8	no	—
1471	D₄	—	86	8	no	—
1472	D₄	—	86	8	no	—
1473	D₄	—	86	4	no	—
1474	D₄	—	172	4	no	—
1475	D₄	—	172	4	no	—
1476	D₄	—	172	4	no	—
1477	D₄	—	172	4	no	—
1478	D₄	—	172	4	no	—
1479	D₄	—	172	8	no	—
1480	D₄	—	172	4	no	—
1481	D₄	—	172	4	no	—
1482	C₂×C₄	—	2	2	no	—
1483	C₂×C₄	—	2	4	no	—
1484	C₂×C₄	—	2	4	no	—
1485	C₂×C₄	—	2	8	no	—
1486	C₂×C₄	—	4	2	no	—
1487	C₂×C₄	—	4	8	no	—
1488	C₂×C₄	—	4	2	no	—
1489	C₂×C₄	—	43	4	no	—
1490	C₂×C₄	—	43	2	no	—
1491	C₂×C₄	—	43	8	no	—
1492	C₂×C₄	—	43	8	no	—
1493	C₂×C₄	—	43	1	no	—
1494	C₂×C₄	—	43	1	no	—
1495	C₂×C₄	—	43	4	no	—
1496	C₂×C₄	—	43	4	no	—
1497	C₂×C₄	—	43	4	no	—
1498	C₂×C₄	—	43	4	no	—
1499	C₂×C₄	—	43	4	no	—
1500	C₂×C₄	—	86	4	no	—
1501	C₂×C₄	—	86	4	no	—
1502	C₂×C₄	—	86	8	no	—
1503	C₂×C₄	—	86	2	no	—
1504	C₂×C₄	—	86	2	no	—
1505	C₂×C₄	—	86	2	no	—
1506	C₂×C₄	—	86	2	no	—
1507	C₂×C₄	—	86	8	no	—
1508	C₂×C₄	—	86	8	no	—
1509	C₂×C₄	—	86	8	no	—
1510	C₂×C₄	—	86	8	no	—
1511	C₂×C₄	—	86	8	no	—
1512	C₂×C₄	—	86	4	no	—
1513	C₂×C₄	—	86	4	no	—
1514	C₂×C₄	—	86	8	no	—
1515	C₂×C₄	—	86	2	no	—
1516	C₂×C₄	—	86	4	no	—
1517	C₂×C₄	—	86	4	no	—
1518	C₂×C₄	—	86	8	no	—
1519	C₂×C₄	—	172	4	no	—
1520	C₂×C₄	—	172	8	no	—
1521	C₂×C₄	—	172	8	no	—
1522	C₂×C₄	—	172	4	no	—
1523	C₂×C₄	—	172	2	no	—
1524	C₂×C₄	—	172	8	no	—
1525	C₂×C₄	—	172	2	no	—
1526	C₂×C₄	#41×D₄₃	1	4	yes	—
1527	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1528	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1529	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1530	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1531	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1532	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1533	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1534	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1535	C₂²	—	2	1	no	—
1536	C₂²	—	2	1	no	—
1537	C₂²	—	2	2	no	—
1538	C₂²	—	2	4	no	—
1539	C₂²	—	2	4	no	—
1540	C₂²	—	2	4	no	—
1541	C₂²	—	2	2	no	—
1542	C₂²	—	2	2	no	—
1543	C₂²	—	4	4	no	—
1544	C₂²	—	43	2	no	—
1545	C₂²	—	43	2	no	—
1546	C₂²	—	43	2	no	—
1547	C₂²	—	43	2	no	—
1548	C₂²	—	86	8	no	—
1549	C₂²	—	86	1	no	—
1550	C₂²	—	86	1	no	—
1551	C₂²	—	86	2	no	—
1552	C₂²	—	86	4	no	—
1553	C₂²	—	86	4	no	—
1554	C₂²	—	86	4	no	—
1555	C₂²	—	86	2	no	—
1556	C₂²	—	86	2	no	—
1557	C₂²	—	172	4	no	—
1558	C₂²	—	172	8	no	—
1559	C₂²	—	172	16	no	—
1560	C₂²	—	172	8	no	—
1561	C₂²	C₂×#41×D₄₃	1	2	yes	—
1562	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1563	C₄	—	2	1	no	—
1564	C₄	—	2	1	no	—
1565	C₄	—	2	4	no	—
1566	C₄	—	2	4	no	—
1567	C₄	—	2	4	no	—
1568	C₄	—	2	4	no	—
1569	C₄	—	2	4	no	—
1570	C₄	—	43	4	no	—
1571	C₄	—	86	1	no	—
1572	C₄	—	86	1	no	—
1573	C₄	—	86	4	no	—
1574	C₄	—	86	4	no	—
1575	C₄	—	86	4	no	—
1576	C₄	—	86	4	no	—
1577	C₄	—	86	4	no	—
1578	C₄	C₂×#41×D₄₃	1	4	yes	—
1579	C₂	—	2	2	no	—
1580	C₂	—	4	2	no	—
1581	C₂	—	4	4	no	—
1582	C₂	—	43	4	no	—
1583	C₂	—	86	2	no	—
1584	C₂	—	172	2	no	—
1585	C₂	—	172	4	no	—
1586	C₂	C₂²×#41×D₄₃	1	1	yes	characteristic
1587	C₂	#585×D₄₃	1	1	yes	characteristic
1588	C₂	#585×D₄₃	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₄₃
commutator, socle, cosocle	C₂²×C₄₃	C₂⁶
Fitting	C₄₃×#3493	C₂
hypercenter	#3493	D₄₃
hypocenter	C₄₃	C₂×#3493
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ #3493

Complements

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

N	H ≅ G/N	type
1. #19148316	C₂	semidirect
2. #19148315	C₂	semidirect
3. #19148314	C₂	semidirect
4. #19148313	C₂	semidirect
5. #19148312	C₂	semidirect
6. #19148311	C₂	semidirect
7. #19148310	C₂	semidirect
8. #19148309	C₂	semidirect
9. #19148308	C₂	semidirect
10. #19148307	C₂	semidirect
11. #19148306	C₂	semidirect
12. #556×D₄₃	C₂	semidirect
13. #555×D₄₃	C₂	semidirect
14. #553×D₄₃	C₂	semidirect
15. #552×D₄₃	C₂	semidirect
16. #544×D₄₃	C₂	semidirect
17. #538×D₄₃	C₂	semidirect
18. #537×D₄₃	C₂	semidirect
19. #529×D₄₃	C₂	semidirect
20. #525×D₄₃	C₂	semidirect
21. #520×D₄₃	C₂	semidirect
22. C₂×#117×D₄₃	C₂	semidirect
23. C₄₃×#3493	C₂	semidirect
26. #14583623	C₂²	semidirect
27. #14583622	C₂²	semidirect
28. #14583621	C₂²	semidirect
29. #14583620	C₂²	semidirect
30. #14583620	C₂²	semidirect
31. #14583619	C₂²	semidirect
32. #14583618	C₂²	semidirect
33. #14583617	C₂²	semidirect
34. #14583617	C₂²	semidirect
35. #14583616	C₂²	semidirect
36. #14583616	C₂²	semidirect
37. #14583615	C₂²	semidirect
38. #14583614	C₂²	semidirect
39. #14583614	C₂²	semidirect
40. #14583613	C₂²	semidirect
41. #14583613	C₂²	semidirect
42. #14583613	C₂²	semidirect
43. #14583612	C₂²	semidirect
44. #14583612	C₂²	semidirect
45. #14583612	C₂²	semidirect
46. #14583611	C₂²	semidirect
47. #14583611	C₂²	semidirect
48. #14583602	C₂²	semidirect
49. #14583601	C₂²	semidirect
50. #14583600	C₂²	semidirect
51. #14583599	C₂²	semidirect
52. #14583598	C₂²	semidirect
53. #14583597	C₂²	semidirect
54. #14583596	C₂²	semidirect
55. #14583595	C₂²	semidirect
56. #14583594	C₂²	semidirect
57. #14583593	C₂²	semidirect
58. #14583592	C₂²	semidirect
59. #14583591	C₂²	semidirect
60. #14583590	C₂²	semidirect
61. #14583589	C₂²	semidirect
62. #14583588	C₂²	semidirect
63. #14583587	C₂²	semidirect
64. #14583586	C₂²	semidirect
65. #14583585	C₂²	semidirect
66. #14583584	C₂²	semidirect
67. #14583583	C₂²	semidirect
68. #14583582	C₂²	semidirect
69. #14583581	C₂²	semidirect
70. #14583530	C₂²	semidirect
71. #14583529	C₂²	semidirect
72. #14583528	C₂²	semidirect
73. #14583527	C₂²	semidirect
74. #14583526	C₂²	semidirect
75. #14583489	C₂²	semidirect
76. #14583488	C₂²	semidirect
77. #14583487	C₂²	semidirect
78. #14583486	C₂²	semidirect
79. #14583485	C₂²	semidirect
80. #14583484	C₂²	semidirect
81. #14583483	C₂²	semidirect
82. #14583482	C₂²	semidirect
83. #14583481	C₂²	semidirect
84. #14583480	C₂²	semidirect
85. #14583479	C₂²	semidirect
86. #14583478	C₂²	semidirect
87. #14583477	C₂²	semidirect
88. #14583476	C₂²	semidirect
89. C₄⋊Q₈×D₄₃	C₂²	semidirect
90. #14583436	C₂²	semidirect
91. #14583435	C₂²	semidirect
92. #14583434	C₂²	semidirect
93. #14583433	C₂²	semidirect
94. #14583432	C₂²	semidirect
95. #14583431	C₂²	semidirect
96. #14583430	C₂²	semidirect
97. #14583429	C₂²	semidirect
98. #14583428	C₂²	semidirect
99. #14583427	C₂²	semidirect
100. #14583426	C₂²	semidirect
102. #126×D₄₃	C₂²	semidirect
103. #125×D₄₃	C₂²	semidirect
104. #125×D₄₃	C₂²	semidirect
106. #124×D₄₃	C₂²	semidirect
107. #14583412	C₂²	semidirect
108. #14583412	C₂²	semidirect
109. #14583411	C₂²	semidirect
110. #14583410	C₂²	semidirect
111. #14583409	C₂²	semidirect
112. #14583409	C₂²	semidirect
113. #14583408	C₂²	semidirect
114. #14583408	C₂²	semidirect
115. #14583407	C₂²	semidirect
116. #14583406	C₂²	semidirect
117. #14583405	C₂²	semidirect
123. C₂²⋊Q₈×D₄₃	C₂²	semidirect
128. #121×D₄₃	C₂²	semidirect
130. #14583382	C₂²	semidirect
131. #14583381	C₂²	semidirect
132. #14583380	C₂²	semidirect
133. #14583380	C₂²	semidirect
134. #14583379	C₂²	semidirect
135. #14583379	C₂²	semidirect
136. #14583378	C₂²	semidirect
137. #14583378	C₂²	semidirect
138. C₄×Q₈×D₄₃	C₂²	semidirect
139. C₄×Q₈×D₄₃	C₂²	semidirect
143. C₄×D₄×D₄₃	C₂²	semidirect
144. C₄×D₄×D₄₃	C₂²	semidirect
145. C₂×#13063284	C₂²	semidirect
146. C₂×#13063283	C₂²	semidirect
147. C₂×#13063283	C₂²	semidirect
148. C₂×#13063282	C₂²	semidirect
149. C₂×#13063281	C₂²	semidirect
153. #117×D₄₃	C₂²	semidirect
154. #117×D₄₃	C₂²	semidirect
155. #117×D₄₃	C₂²	semidirect
156. #117×D₄₃	C₂²	semidirect
159. C₂×C₄⋊C₄×D₄₃	C₂²	semidirect
162. C₄₃×#556	C₂²	semidirect
163. C₄₃×#555	C₂²	semidirect
164. C₄₃×#553	C₂²	semidirect
165. C₄₃×#552	C₂²	semidirect
166. C₄₃×#544	C₂²	semidirect
167. C₄₃×#538	C₂²	semidirect
168. C₄₃×#537	C₂²	semidirect
169. C₄₃×#529	C₂²	semidirect
170. C₄₃×#525	C₂²	semidirect
171. C₄₃×#520	C₂²	semidirect
172. C₂×#117×C₄₃	C₂²	semidirect
201. #13063325	C₂³	semidirect
202. #13063324	C₂³	semidirect
203. #13063324	C₂³	semidirect
204. #13063324	C₂³	semidirect
205. #13063323	C₂³	semidirect
209. #13063320	C₂³	semidirect
210. #13063320	C₂³	semidirect
211. #13063320	C₂³	semidirect
213. #13063319	C₂³	semidirect
217. #13063318	C₂³	semidirect
218. #13063318	C₂³	semidirect
219. #13063318	C₂³	semidirect
220. #13063317	C₂³	semidirect
221. #13063317	C₂³	semidirect
222. #13063316	C₂³	semidirect
223. #13063316	C₂³	semidirect
224. #13063316	C₂³	semidirect
225. #13063316	C₂³	semidirect
226. #13063315	C₂³	semidirect
227. #13063315	C₂³	semidirect
228. #13063315	C₂³	semidirect
229. #13063315	C₂³	semidirect
231. #13063314	C₂³	semidirect
233. #13063313	C₂³	semidirect
235. #13063312	C₂³	semidirect
240. #13063311	C₂³	semidirect
241. #13063311	C₂³	semidirect
259. #13063305	C₂³	semidirect
263. #13063304	C₂³	semidirect
267. #13063303	C₂³	semidirect
271. #13063302	C₂³	semidirect
275. #13063301	C₂³	semidirect
280. #13063300	C₂³	semidirect
285. #13063299	C₂³	semidirect
291. #13063298	C₂³	semidirect
297. #13063297	C₂³	semidirect
302. #13063296	C₂³	semidirect
310. Q₈×Dic₄₃	C₂³	semidirect
311. Q₈×Dic₄₃	C₂³	semidirect
312. C₄×Dic₈₆	C₂³	semidirect
313. C₄×Dic₈₆	C₂³	semidirect
314. C₄×Dic₈₆	C₂³	semidirect
315. C₄×Dic₈₆	C₂³	semidirect
316. #13063290	C₂³	semidirect
317. #13063290	C₂³	semidirect
318. #13063290	C₂³	semidirect
319. #13063290	C₂³	semidirect
323. C₄×D₁₇₂	C₂³	semidirect
324. C₄×D₁₇₂	C₂³	semidirect
328. D₄×Dic₄₃	C₂³	semidirect
329. D₄×Dic₄₃	C₂³	semidirect
333. #13063287	C₂³	semidirect
334. #13063287	C₂³	semidirect
341. C₄×C₂²⋊D₄₃	C₂³	semidirect
342. C₄×C₂²⋊D₄₃	C₂³	semidirect
349. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
350. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
354. #13063284	C₂³	semidirect
355. #13063284	C₂³	semidirect
362. #13063283	C₂³	semidirect
363. #13063283	C₂³	semidirect
364. #13063283	C₂³	semidirect
365. #13063283	C₂³	semidirect
369. #13063282	C₂³	semidirect
370. #13063282	C₂³	semidirect
371. #13063282	C₂³	semidirect
375. #13063281	C₂³	semidirect
376. #13063281	C₂³	semidirect
377. #13063281	C₂³	semidirect
380. C₂×C₄⋊Dic₄₃	C₂³	semidirect
383. C₂×Dic₄₃⋊C₄	C₂³	semidirect
396. C₄⋊C₄×D₄₃	C₂³	semidirect
397. C₄⋊C₄×D₄₃	C₂³	semidirect
398. C₄⋊C₄×D₄₃	C₂³	semidirect
422. C₄⋊Q₈×C₄₃	C₂³	semidirect
424. #126×C₄₃	C₂³	semidirect
425. #125×C₄₃	C₂³	semidirect
426. #125×C₄₃	C₂³	semidirect
428. #124×C₄₃	C₂³	semidirect
434. C₂²⋊Q₈×C₄₃	C₂³	semidirect
439. #121×C₄₃	C₂³	semidirect
441. C₄×Q₈×C₄₃	C₂³	semidirect
442. C₄×Q₈×C₄₃	C₂³	semidirect
446. C₄×D₄×C₄₃	C₂³	semidirect
447. C₄×D₄×C₄₃	C₂³	semidirect
451. #117×C₄₃	C₂³	semidirect
452. #117×C₄₃	C₂³	semidirect
455. C₂×C₄⋊C₄×C₄₃	C₂³	semidirect
796. #3493	D₄₃	direct (N × H)
817. D₄₃	#3493	direct (N × H)
831. #556	C₂×D₄₃	semidirect
843. #555	C₂×D₄₃	semidirect
855. #553	C₂×D₄₃	semidirect
867. #552	C₂×D₄₃	semidirect
873. #544	C₂×D₄₃	semidirect
883. #538	C₂×D₄₃	semidirect
889. #537	C₂×D₄₃	semidirect
902. #529	C₂×D₄₃	semidirect
920. #525	C₂×D₄₃	semidirect
941. #520	C₂×D₄₃	semidirect
961. C₂×#117	C₂×D₄₃	semidirect
967. C₄₃	C₂×#3493	semidirect
1003. C₄⋊Q₈	C₂²×D₄₃	semidirect
1019. #126	C₂²×D₄₃	semidirect
1030. #125	C₂²×D₄₃	semidirect
1031. #125	C₂²×D₄₃	semidirect
1045. #124	C₂²×D₄₃	semidirect
1085. C₂²⋊Q₈	C₂²×D₄₃	semidirect
1117. #121	C₂²×D₄₃	semidirect
1136. C₄×Q₈	C₂²×D₄₃	semidirect
1137. C₄×Q₈	C₂²×D₄₃	semidirect
1172. C₄×D₄	C₂²×D₄₃	semidirect
1173. C₄×D₄	C₂²×D₄₃	semidirect
1204. #117	C₂²×D₄₃	semidirect
1205. #117	C₂²×D₄₃	semidirect
1229. C₂×C₄⋊C₄	C₂²×D₄₃	semidirect

Maximal subgroups

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

subgroup	index
#19148316	2
#19148315	2
#19148314	2
#19148313	2
#19148312	2
#19148311	2
#19148310	2
#19148309	2
#19148308	2
#19148307	2
#19148306	2
#556×D₄₃	2
#555×D₄₃	2
#553×D₄₃	2
#552×D₄₃	2
#544×D₄₃	2
#538×D₄₃	2
#537×D₄₃	2
#529×D₄₃	2
#525×D₄₃	2
#520×D₄₃	2
C₂×#117×D₄₃	2
C₄₃×#3493	2
C₂×#3493	43

Subgroups — D43×#3493 #26004653

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — D₄₃×#3493 #26004653