Subgroups — #26005129

Order 11008.

11534 conjugacy classes of subgroups.

The subgroup lattice has 1668 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583734	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#41×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#19148276	C₂	1	1	yes	maximal, characteristic, complemented
4	#19148275	C₂	1	1	yes	maximal, characteristic, complemented
5	#19148270	C₂	1	3	yes	maximal, complemented
6	#19148267	C₂	1	3	yes	maximal, complemented
7	#19148262	C₂	1	3	yes	maximal, complemented
8	#19148260	C₂	1	3	yes	maximal, complemented
9	#19148257	C₂	1	1	yes	maximal, characteristic, complemented
10	#19148248	C₂	1	2	yes	maximal, complemented
11	#19148241	C₂	1	2	yes	maximal, complemented
12	#19148232	C₂	1	6	yes	maximal, complemented
13	#19148223	C₂	1	6	yes	maximal, complemented
14	#19148085	C₂	1	2	yes	maximal, complemented
15	#19148084	C₂	1	2	yes	maximal, complemented
16	#19148079	C₂	1	6	yes	maximal, complemented
17	D₄×#10621900	C₂	1	6	yes	maximal, complemented
18	#19147926	C₂	1	3	yes	maximal, complemented
19	#19147923	C₂	1	3	yes	maximal, complemented
20	C₂×#14583409	C₂	1	3	yes	maximal, complemented
21	#525×D₄₃	C₂	1	3	yes	maximal, complemented
22	#19147795	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₃×#3488	C₂	1	1	yes	maximal, characteristic, complemented
24	#14583734	—	2	16	no	—
25	C₂×#13063372	C₂²	1	1	yes	characteristic, complemented
26	C₂×#13063372	C₂²	1	2	yes	complemented
27	C₂×#13063372	C₂²	1	3	yes	complemented
28	C₂×#13063370	C₂²	1	6	yes	complemented
29	C₂×#13063370	C₂²	1	3	yes	complemented
30	C₂²×#10621902	C₂²	1	1	yes	characteristic, complemented
31	C₂²×#10621898	C₂²	1	3	yes	complemented
32	C₂²×#10621900	C₂²	1	3	yes	complemented
33	C₂²×#10621900	C₂²	1	3	yes	complemented
34	C₂²×#10621900	C₂²	1	6	yes	complemented
35	C₂×#41×D₄₃	—	2	16	no	—
36	C₂×#41×D₄₃	C₂²	1	1	yes	characteristic
37	C₂×#41×D₄₃	C₂²	1	3	yes	complemented
38	C₂×#41×D₄₃	C₂²	1	1	yes	characteristic, complemented
39	C₂×#41×D₄₃	C₂²	1	3	yes	complemented
40	C₂×#41×D₄₃	C₂²	1	3	yes	complemented
41	C₂×#41×D₄₃	C₂²	1	1	yes	characteristic, complemented
42	C₂×#41×D₄₃	C₂²	1	1	yes	characteristic, complemented
43	C₂×#41×D₄₃	C₂²	1	3	yes	complemented
44	C₂×#41×D₄₃	C₂²	1	3	yes	complemented
45	C₂×#41×D₄₃	C₂²	1	2	yes	complemented
46	C₂²×Q₈×D₄₃	C₂²	1	1	yes	characteristic, complemented
47	C₂²×D₄×D₄₃	C₂²	1	3	yes	complemented
48	C₂³×C₄×D₄₃	C₂²	1	3	yes	complemented
49	#14583569	C₂²	1	6	yes	complemented
50	#14583568	C₂²	1	2	yes	complemented
51	#14583567	C₂²	1	6	yes	complemented
52	Q₈×D₁₇₂	C₂²	1	2	yes	complemented
53	D₄×Dic₈₆	C₂²	1	6	yes	complemented
54	Q₈×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
55	#14583562	C₂²	1	6	yes	complemented
56	#14583561	C₂²	1	2	yes	complemented
57	#14583558	C₂²	1	6	yes	complemented
58	#14583557	C₂²	1	6	yes	complemented
59	#14583556	C₂²	1	2	yes	complemented
60	#14583556	C₂²	1	2	yes	complemented
61	#14583555	C₂²	1	6	yes	complemented
62	#14583555	C₂²	1	6	yes	complemented
63	#14583554	C₂²	1	6	yes	complemented
64	#14583553	C₂²	1	6	yes	complemented
65	#14583551	C₂²	1	6	yes	complemented
66	#14583549	C₂²	1	12	yes	complemented
67	#14583548	C₂²	1	6	yes	complemented
68	#14583547	C₂²	1	12	yes	complemented
69	#14583546	C₂²	1	6	yes	complemented
70	#14583546	C₂²	1	6	yes	complemented
71	#14583545	C₂²	1	6	yes	complemented
72	#14583544	C₂²	1	6	yes	complemented
73	#14583543	C₂²	1	6	yes	complemented
74	#14583543	C₂²	1	6	yes	complemented
75	#14583542	C₂²	1	6	yes	complemented
76	#14583539	C₂²	1	12	yes	complemented
77	#14583538	C₂²	1	12	yes	complemented
78	#14583536	C₂²	1	12	yes	complemented
79	#14583536	C₂²	1	12	yes	complemented
80	#14583534	C₂²	1	6	yes	complemented
81	#14583533	C₂²	1	6	yes	complemented
82	D₄×C₂²⋊D₄₃	C₂²	1	12	yes	complemented
83	D₄×C₂²⋊D₄₃	C₂²	1	6	yes	complemented
84	#14583531	C₂²	1	12	yes	complemented
85	#14583480	C₂²	1	3	yes	complemented
86	#14583478	C₂²	1	6	yes	complemented
87	#14583478	C₂²	1	6	yes	complemented
88	#14583477	C₂²	1	3	yes	complemented
89	#14583477	C₂²	1	3	yes	complemented
90	#14583475	C₂²	1	3	yes	complemented
91	#14583472	C₂²	1	6	yes	complemented
92	#14583472	C₂²	1	6	yes	complemented
93	#14583470	C₂²	1	3	yes	complemented
94	#14583469	C₂²	1	6	yes	complemented
95	#14583466	C₂²	1	3	yes	complemented
96	#14583465	C₂²	1	6	yes	complemented
97	#14583465	C₂²	1	6	yes	complemented
98	#14583462	C₂²	1	6	yes	complemented
99	#14583459	C₂²	1	12	yes	complemented
100	#14583457	C₂²	1	12	yes	complemented
101	#14583448	C₂²	1	6	yes	complemented
102	#14583447	C₂²	1	6	yes	complemented
103	#14583444	C₂²	1	12	yes	complemented
104	#14583412	C₂²	1	1	yes	characteristic, complemented
105	#14583412	C₂²	1	3	yes	complemented
106	#14583412	C₂²	1	6	yes	complemented
107	#14583411	C₂²	1	3	yes	complemented
108	#14583410	C₂²	1	3	yes	complemented
109	#14583409	C₂²	1	3	yes	complemented
110	#14583409	C₂²	1	6	yes	complemented
111	#14583409	C₂²	1	6	yes	complemented
112	#14583409	C₂²	1	6	yes	complemented
113	#14583409	C₂²	1	3	yes	complemented
114	#14583409	C₂²	1	6	yes	complemented
115	#14583409	C₂²	1	6	yes	complemented
116	#14583409	C₂²	1	6	yes	complemented
117	#14583409	C₂²	1	6	yes	complemented
118	#14583409	C₂²	1	6	yes	complemented
119	#14583408	C₂²	1	6	yes	complemented
120	#14583408	C₂²	1	6	yes	complemented
121	#14583407	C₂²	1	6	yes	complemented
122	#14583406	C₂²	1	3	yes	complemented
123	#14583405	C₂²	1	6	yes	complemented
124	#14583405	C₂²	1	12	yes	complemented
125	C₂×#13063307	C₂²	1	6	yes	complemented
126	#123×D₄₃	C₂²	1	6	yes	complemented
127	C₂×#13063305	C₂²	1	3	yes	complemented
128	C₂×#13063304	C₂²	1	3	yes	complemented
129	C₂²⋊Q₈×D₄₃	C₂²	1	3	yes	complemented
130	C₂²⋊Q₈×D₄₃	C₂²	1	3	yes	complemented
131	C₂×#13063296	C₂²	1	3	yes	complemented
132	#121×D₄₃	C₂²	1	3	yes	complemented
133	#121×D₄₃	C₂²	1	3	yes	complemented
134	C₂×#13063293	C₂²	1	6	yes	complemented
135	#120×D₄₃	C₂²	1	6	yes	complemented
136	#14583382	C₂²	1	1	yes	characteristic, complemented
137	#14583380	C₂²	1	3	yes	complemented
138	#14583379	C₂²	1	3	yes	complemented
139	#14583375	C₂²	1	2	yes	complemented
140	#14583371	C₂²	1	6	yes	complemented
141	C₄×#10621902	C₂²	1	2	yes	complemented
142	C₄×#10621900	C₂²	1	6	yes	complemented
143	C₂×D₄×Dic₄₃	C₂²	1	6	yes	complemented
144	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	6	yes	complemented
145	C₄×D₄×D₄₃	C₂²	1	6	yes	complemented
146	C₄×D₄×D₄₃	C₂²	1	6	yes	complemented
147	C₂×#13063283	C₂²	1	3	yes	complemented
148	#117×D₄₃	C₂²	1	3	yes	complemented
149	C₂×H(5,𝔽₂)×C₄₃	C₂²	1	1	yes	characteristic, complemented
150	C₂²×#41×C₄₃	C₂²	1	1	yes	characteristic, complemented
151	C₄₃×#550	C₂²	1	2	yes	complemented
152	C₄₃×#548	C₂²	1	2	yes	complemented
153	C₄₃×#546	C₂²	1	6	yes	complemented
154	D₄²×C₄₃	C₂²	1	6	yes	complemented
155	C₄₃×#537	C₂²	1	3	yes	complemented
156	C₄₃×#535	C₂²	1	3	yes	complemented
157	C₄₃×#525	C₂²	1	3	yes	complemented
158	C₂×#121×C₄₃	C₂²	1	3	yes	complemented
159	C₄₃×#520	C₂²	1	1	yes	characteristic, complemented
160	C₂⁴×D₄₃	C₂³	1	3	yes	—
161	#13063372	—	2	8	no	—
162	#13063372	—	2	16	no	—
163	#13063372	—	2	24	no	—
164	#13063370	—	2	48	no	—
165	#13063370	—	2	24	no	—
166	C₂×#10621902	—	2	8	no	—
167	C₂×#10621902	C₂³	1	1	yes	characteristic
168	C₂×#10621902	C₂³	1	1	yes	characteristic
169	C₂×#10621902	C₂³	1	3	yes	—
170	C₂×#10621902	C₂³	1	3	yes	—
171	C₂×#10621902	C₂³	1	1	yes	characteristic
172	C₂×#10621898	—	2	24	no	—
173	C₂×#10621898	C₂³	1	3	yes	—
174	C₂×#10621898	C₂³	1	3	yes	—
175	C₂×#10621898	C₂³	1	6	yes	—
176	C₂×#10621898	C₂³	1	6	yes	—
177	C₂×#10621898	C₂³	1	3	yes	—
178	C₂×#10621898	C₂³	1	6	yes	—
179	C₂×#10621898	C₂³	1	3	yes	—
180	C₂×#10621898	C₂³	1	6	yes	complemented
181	C₂×#10621898	C₂³	1	3	yes	complemented
182	C₂×#10621900	—	2	24	no	—
183	C₂×#10621900	—	2	48	no	—
184	C₂×#10621900	—	2	24	no	—
185	C₂×#10621900	C₂³	1	3	yes	—
186	C₂×#10621900	C₂³	1	3	yes	—
187	C₂×#10621900	C₂³	1	6	yes	—
188	C₂×#10621900	C₂³	1	3	yes	—
189	C₂×#10621900	C₂³	1	3	yes	—
190	C₂×#10621900	C₂³	1	6	yes	—
191	C₂×#10621900	C₂³	1	6	yes	—
192	C₂×#10621900	C₂³	1	3	yes	—
193	C₂×#10621900	C₂³	1	6	yes	complemented
194	C₂×#10621900	C₂³	1	6	yes	complemented
195	C₂×#10621900	C₂³	1	6	yes	complemented
196	C₂×#10621900	C₂³	1	6	yes	complemented
197	C₂×#10621900	C₂³	1	6	yes	complemented
198	C₂×#10621900	C₂³	1	12	yes	complemented
199	#41×D₄₃	—	2	8	no	—
200	#41×D₄₃	—	2	8	no	—
201	#41×D₄₃	—	2	16	no	—
202	#41×D₄₃	—	2	8	no	—
203	#41×D₄₃	—	2	24	no	—
204	#41×D₄₃	—	2	24	no	—
205	#41×D₄₃	—	2	24	no	—
206	#41×D₄₃	—	2	24	no	—
207	#41×D₄₃	—	2	24	no	—
208	#41×D₄₃	D₄	1	16	yes	complemented
209	C₂²×Dic₈₆	C₂³	1	3	yes	—
210	C₂²×Dic₈₆	C₂³	1	6	yes	complemented
211	C₂²×Dic₈₆	C₂³	1	3	yes	complemented
212	C₂×Q₈×D₄₃	—	2	8	no	—
213	C₂×Q₈×D₄₃	C₂³	1	1	yes	characteristic
214	C₂×Q₈×D₄₃	C₂³	1	3	yes	—
215	C₂×Q₈×D₄₃	C₂³	1	3	yes	—
216	C₂×Q₈×D₄₃	C₂³	1	1	yes	characteristic
217	C₂×Q₈×D₄₃	C₂³	1	2	yes	complemented
218	C₂×Q₈×D₄₃	C₂³	1	3	yes	complemented
219	C₂²×D₁₇₂	C₂³	1	3	yes	—
220	C₂²×C₂²⋊D₄₃	C₂³	1	6	yes	—
221	C₂²×C₂²⋊D₄₃	C₂³	1	6	yes	—
222	C₂²×C₂²⋊D₄₃	C₂³	1	6	yes	—
223	C₂²×C₂²⋊D₄₃	C₂³	1	12	yes	complemented
224	C₂×D₄×D₄₃	—	2	24	no	—
225	C₂×D₄×D₄₃	C₂³	1	6	yes	—
226	C₂×D₄×D₄₃	C₂³	1	6	yes	—
227	C₂×D₄×D₄₃	C₂³	1	3	yes	—
228	C₂×D₄×D₄₃	C₂³	1	6	yes	—
229	C₂×D₄×D₄₃	C₂³	1	3	yes	—
230	C₂×D₄×D₄₃	C₂³	1	3	yes	—
231	C₂×D₄×D₄₃	C₂³	1	6	yes	—
232	C₂×D₄×D₄₃	C₂³	1	6	yes	—
233	C₂×D₄×D₄₃	C₂³	1	3	yes	—
234	C₂×D₄×D₄₃	C₂³	1	3	yes	complemented
235	C₂×D₄×D₄₃	C₂³	1	6	yes	complemented
236	C₂³×Dic₄₃	C₂³	1	3	yes	—
237	C₂³×Dic₄₃	C₂³	1	6	yes	complemented
238	C₂²×C₄×D₄₃	—	2	24	no	—
239	C₂²×C₄×D₄₃	C₂³	1	3	yes	—
240	C₂²×C₄×D₄₃	C₂³	1	3	yes	—
241	C₂²×C₄×D₄₃	C₂³	1	3	yes	—
242	C₂²×C₄×D₄₃	C₂³	1	3	yes	—
243	C₂²×C₄×D₄₃	C₂³	1	3	yes	—
244	C₂²×C₄×D₄₃	C₂³	1	3	yes	—
245	C₂²×C₄×D₄₃	C₂³	1	3	yes	—
246	C₂²×C₄×D₄₃	C₂³	1	3	yes	—
247	C₂²×C₄×D₄₃	C₂³	1	3	yes	—
248	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
249	C₂²×C₄×D₄₃	C₂³	1	3	yes	—
250	C₂²×C₄×D₄₃	C₂³	1	3	yes	—
251	C₂²×C₄×D₄₃	C₂³	1	6	yes	complemented
252	#13063325	C₂³	1	6	yes	complemented
253	#13063324	C₂³	1	12	yes	complemented
254	#13063323	C₂³	1	6	yes	complemented
255	#13063321	C₂³	1	6	yes	complemented
256	#13063321	C₂³	1	12	yes	complemented
257	#13063313	C₂³	1	6	yes	complemented
258	#13063312	C₂³	1	6	yes	complemented
259	#13063312	C₂³	1	6	yes	complemented
260	#13063311	C₂³	1	12	yes	complemented
261	#13063311	C₂³	1	12	yes	complemented
262	#13063310	C₂³	1	2	yes	—
263	#13063310	C₂³	1	6	yes	—
264	#13063310	C₂³	1	12	yes	complemented
265	#13063309	C₂³	1	6	yes	complemented
266	#13063309	C₂³	1	12	yes	complemented
267	#13063308	C₂³	1	6	yes	complemented
268	#13063307	C₂³	1	6	yes	—
269	#13063307	C₂³	1	6	yes	—
270	#13063307	C₂³	1	12	yes	—
271	#13063307	C₂³	1	12	yes	complemented
272	#13063307	C₂³	1	12	yes	complemented
273	#13063307	C₂³	1	12	yes	complemented
274	#13063306	C₂³	1	6	yes	complemented
275	#13063306	C₂³	1	12	yes	complemented
276	#13063305	C₂³	1	6	yes	—
277	#13063305	C₂³	1	3	yes	—
278	#13063305	C₂³	1	6	yes	complemented
279	#13063305	C₂³	1	6	yes	complemented
280	#13063305	C₂³	1	3	yes	complemented
281	#13063305	C₂³	1	6	yes	complemented
282	#13063304	C₂³	1	6	yes	—
283	#13063304	C₂³	1	3	yes	—
284	#13063304	C₂³	1	6	yes	complemented
285	#13063304	C₂³	1	6	yes	complemented
286	#13063304	C₂³	1	3	yes	complemented
287	#13063304	C₂³	1	6	yes	complemented
288	#13063303	C₂³	1	6	yes	—
289	#13063303	C₂³	1	6	yes	complemented
290	#13063302	C₂³	1	6	yes	—
291	#13063302	C₂³	1	6	yes	complemented
292	#13063302	C₂³	1	12	yes	complemented
293	#13063302	C₂³	1	12	yes	complemented
294	#13063301	C₂³	1	1	yes	characteristic
295	#13063301	C₂³	1	6	yes	complemented
296	#13063301	C₂³	1	3	yes	complemented
297	#13063300	C₂³	1	1	yes	characteristic
298	#13063300	C₂³	1	6	yes	complemented
299	#13063300	C₂³	1	3	yes	complemented
300	#13063299	C₂³	1	1	yes	characteristic
301	#13063299	C₂³	1	12	yes	complemented
302	#13063299	C₂³	1	6	yes	complemented
303	#13063299	C₂³	1	3	yes	complemented
304	#13063298	C₂³	1	6	yes	—
305	#13063298	C₂³	1	6	yes	complemented
306	#13063298	C₂³	1	12	yes	complemented
307	#13063298	C₂³	1	12	yes	complemented
308	#13063297	C₂³	1	6	yes	—
309	#13063297	C₂³	1	12	yes	complemented
310	#13063297	C₂³	1	12	yes	complemented
311	#13063297	C₂³	1	6	yes	complemented
312	#13063297	C₂³	1	12	yes	complemented
313	#13063297	C₂³	1	12	yes	complemented
314	#13063296	C₂³	1	6	yes	—
315	#13063296	C₂³	1	3	yes	—
316	#13063296	C₂³	1	12	yes	complemented
317	#13063296	C₂³	1	6	yes	complemented
318	#13063296	C₂³	1	6	yes	complemented
319	#13063296	C₂³	1	3	yes	complemented
320	#13063296	C₂³	1	6	yes	complemented
321	#13063296	C₂³	1	12	yes	complemented
322	#13063295	C₂³	1	2	yes	—
323	#13063295	C₂³	1	6	yes	—
324	#13063295	C₂³	1	6	yes	—
325	#13063295	C₂³	1	12	yes	complemented
326	#13063294	C₂³	1	6	yes	—
327	#13063294	C₂³	1	12	yes	complemented
328	#13063293	C₂³	1	6	yes	—
329	#13063293	C₂³	1	6	yes	—
330	#13063293	C₂³	1	6	yes	—
331	#13063293	C₂³	1	12	yes	—
332	#13063293	C₂³	1	12	yes	—
333	#13063293	C₂³	1	12	yes	—
334	#13063293	C₂³	1	12	yes	complemented
335	Q₈×Dic₄₃	C₂³	1	2	yes	complemented
336	C₄×Dic₈₆	C₂³	1	6	yes	complemented
337	#13063290	C₂³	1	6	yes	complemented
338	C₄×D₁₇₂	C₂³	1	6	yes	—
339	C₄×D₁₇₂	C₂³	1	6	yes	complemented
340	C₄×D₁₇₂	C₂³	1	6	yes	complemented
341	D₄×Dic₄₃	C₂³	1	12	yes	—
342	D₄×Dic₄₃	C₂³	1	6	yes	—
343	D₄×Dic₄₃	C₂³	1	12	yes	complemented
344	D₄×Dic₄₃	C₂³	1	6	yes	complemented
345	D₄×Dic₄₃	C₂³	1	12	yes	complemented
346	D₄×Dic₄₃	C₂³	1	6	yes	complemented
347	#13063287	C₂³	1	2	yes	—
348	#13063287	C₂³	1	6	yes	complemented
349	#13063287	C₂³	1	6	yes	complemented
350	C₄×C₂²⋊D₄₃	C₂³	1	6	yes	—
351	C₄×C₂²⋊D₄₃	C₂³	1	6	yes	—
352	C₄×C₂²⋊D₄₃	C₂³	1	6	yes	complemented
353	C₄×C₂²⋊D₄₃	C₂³	1	6	yes	complemented
354	C₄×C₂²⋊D₄₃	C₂³	1	12	yes	complemented
355	(C₂²⋊D₄₃)⋊C₄	C₂³	1	12	yes	—
356	(C₂²⋊D₄₃)⋊C₄	C₂³	1	2	yes	—
357	(C₂²⋊D₄₃)⋊C₄	C₂³	1	6	yes	—
358	(C₂²⋊D₄₃)⋊C₄	C₂³	1	12	yes	complemented
359	(C₂²⋊D₄₃)⋊C₄	C₂³	1	6	yes	complemented
360	(C₂²⋊D₄₃)⋊C₄	C₂³	1	6	yes	complemented
361	(C₂²⋊D₄₃)⋊C₄	C₂³	1	12	yes	complemented
362	(C₂²⋊D₄₃)⋊C₄	C₂³	1	12	yes	complemented
363	#13063284	C₂³	1	3	yes	complemented
364	#13063283	C₂³	1	1	yes	characteristic
365	#13063283	C₂³	1	3	yes	—
366	#13063283	C₂³	1	6	yes	—
367	#13063283	C₂³	1	6	yes	complemented
368	#13063283	C₂³	1	6	yes	complemented
369	#13063282	C₂³	1	6	yes	—
370	#13063281	C₂³	1	6	yes	complemented
371	C₂×C₄⋊Dic₄₃	C₂³	1	6	yes	complemented
372	C₂×C₄⋊Dic₄₃	C₂³	1	3	yes	complemented
373	C₂×Dic₄₃⋊C₄	C₂³	1	6	yes	complemented
374	C₄⋊C₄×D₄₃	C₂³	1	6	yes	complemented
375	C₄⋊C₄×D₄₃	C₂³	1	3	yes	complemented
376	C₄⋊C₄×D₄₃	C₂³	1	3	yes	complemented
377	C₄⋊C₄×D₄₃	C₂³	1	6	yes	complemented
378	C₂×C₂²⋊Dic₄₃	C₂³	1	6	yes	—
379	C₂×C₂²⋊Dic₄₃	C₂³	1	6	yes	complemented
380	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	6	yes	—
381	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	6	yes	—
382	C₂²⋊C₄×D₄₃	C₂³	1	6	yes	—
383	C₂²⋊C₄×D₄₃	C₂³	1	6	yes	—
384	C₂²⋊C₄×D₄₃	C₂³	1	6	yes	—
385	C₂²⋊C₄×D₄₃	C₂³	1	6	yes	complemented
386	C₂²⋊C₄×D₄₃	C₂³	1	6	yes	complemented
387	C₂×C₄×Dic₄₃	C₂³	1	6	yes	complemented
388	C₄²×D₄₃	C₂³	1	6	yes	complemented
389	H(5,𝔽₂)×C₄₃	—	2	8	no	—
390	C₂×#41×C₄₃	—	2	8	no	—
391	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
392	C₂×#41×C₄₃	C₂³	1	3	yes	—
393	C₂×#41×C₄₃	C₂³	1	3	yes	—
394	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
395	C₂×#41×C₄₃	C₂³	1	2	yes	complemented
396	C₂×#41×C₄₃	C₂³	1	3	yes	complemented
397	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
398	C₂²×D₄×C₄₃	C₂³	1	3	yes	—
399	C₂²×D₄×C₄₃	C₂³	1	6	yes	—
400	C₂²×D₄×C₄₃	C₂³	1	3	yes	complemented
401	C₂²×D₄×C₄₃	C₂³	1	6	yes	complemented
402	C₂³×C₄×C₄₃	C₂³	1	3	yes	—
403	#127×C₄₃	C₂³	1	6	yes	complemented
404	#124×C₄₃	C₂³	1	6	yes	complemented
405	#123×C₄₃	C₂³	1	6	yes	complemented
406	C₂²⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
407	C₂²⋊Q₈×C₄₃	C₂³	1	6	yes	complemented
408	C₂²⋊Q₈×C₄₃	C₂³	1	3	yes	complemented
409	#121×C₄₃	C₂³	1	6	yes	—
410	#121×C₄₃	C₂³	1	3	yes	—
411	#121×C₄₃	C₂³	1	6	yes	complemented
412	#121×C₄₃	C₂³	1	6	yes	complemented
413	#121×C₄₃	C₂³	1	6	yes	complemented
414	#121×C₄₃	C₂³	1	3	yes	complemented
415	#121×C₄₃	C₂³	1	12	yes	complemented
416	#120×C₄₃	C₂³	1	6	yes	—
417	#120×C₄₃	C₂³	1	12	yes	complemented
418	C₄×Q₈×C₄₃	C₂³	1	2	yes	complemented
419	C₄×D₄×C₄₃	C₂³	1	6	yes	—
420	C₄×D₄×C₄₃	C₂³	1	6	yes	complemented
421	C₄×D₄×C₄₃	C₂³	1	6	yes	complemented
422	#117×C₄₃	C₂³	1	3	yes	complemented
423	C₂×C₄⋊C₄×C₄₃	C₂³	1	3	yes	complemented
424	C₂×C₂²⋊C₄×C₄₃	C₂³	1	6	yes	complemented
425	C₂⁴×C₄₃	C₂⁴	1	3	yes	—
426	C₂⁴×C₄₃	C₂⁴	1	6	yes	—
427	C₂³×D₄₃	—	2	12	no	—
428	C₂³×D₄₃	—	4	6	no	—
429	C₂³×D₄₃	—	4	6	no	—
430	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
431	C₂³×D₄₃	C₂⁴	1	3	yes	—
432	C₂³×D₄₃	C₂⁴	1	3	yes	—
433	C₂³×D₄₃	C₂⁴	1	3	yes	—
434	C₂³×D₄₃	C₂⁴	1	6	yes	—
435	C₂³×D₄₃	C₂⁴	1	3	yes	—
436	C₂³×D₄₃	C₂⁴	1	3	yes	—
437	#41×C₄₃	—	2	4	no	—
438	#41×C₄₃	—	2	8	no	—
439	#41×C₄₃	—	2	12	no	—
440	#41×C₄₃	—	2	12	no	—
441	#41×C₄₃	—	2	12	no	—
442	#41×C₄₃	C₂×D₄	1	8	yes	complemented
443	C₂×Q₈×C₄₃	—	2	4	no	—
444	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
445	C₂×Q₈×C₄₃	C₂⁴	1	3	yes	—
446	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
447	C₂×D₄×C₄₃	—	2	12	no	—
448	C₂×D₄×C₄₃	—	2	24	no	—
449	C₂×D₄×C₄₃	—	2	12	no	—
450	C₂×D₄×C₄₃	—	4	12	no	—
451	C₂×D₄×C₄₃	C₂⁴	1	6	yes	—
452	C₂×D₄×C₄₃	C₂⁴	1	6	yes	—
453	C₂×D₄×C₄₃	C₂⁴	1	6	yes	—
454	C₂×D₄×C₄₃	C₂⁴	1	3	yes	—
455	C₂×D₄×C₄₃	C₂⁴	1	6	yes	—
456	C₂×D₄×C₄₃	C₂⁴	1	3	yes	—
457	C₂×D₄×C₄₃	C₂⁴	1	6	yes	—
458	C₂×D₄×C₄₃	C₂⁴	1	12	yes	—
459	C₂×D₄×C₄₃	C₂⁴	1	3	yes	—
460	C₂²×C₄×C₄₃	—	2	12	no	—
461	C₂²×C₄×C₄₃	C₂⁴	1	3	yes	—
462	C₂²×C₄×C₄₃	C₂⁴	1	3	yes	—
463	C₂²×C₄×C₄₃	C₂⁴	1	6	yes	—
464	C₂²×C₄×C₄₃	C₂⁴	1	3	yes	—
465	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
466	C₂²×C₄×C₄₃	C₂⁴	1	3	yes	—
467	C₂²×C₄×C₄₃	C₂⁴	1	6	yes	—
468	C₂²×C₄×C₄₃	C₂⁴	1	3	yes	—
469	C₂×C₂²⋊D₄₃	—	2	24	no	—
470	C₂×C₂²⋊D₄₃	—	2	48	no	—
471	C₂×C₂²⋊D₄₃	—	2	24	no	—
472	C₂×C₂²⋊D₄₃	—	4	12	no	—
473	C₂×C₂²⋊D₄₃	C₂⁴	1	6	yes	—
474	C₂×C₂²⋊D₄₃	C₂⁴	1	2	yes	—
475	C₂×C₂²⋊D₄₃	C₂⁴	1	6	yes	—
476	C₂×C₂²⋊D₄₃	C₂⁴	1	12	yes	—
477	C₂×C₂²⋊D₄₃	C₂⁴	1	6	yes	—
478	C₂×C₂²⋊D₄₃	C₂⁴	1	6	yes	—
479	C₂×C₂²⋊D₄₃	C₂⁴	1	6	yes	—
480	C₂×C₂²⋊D₄₃	C₂⁴	1	6	yes	—
481	C₂×C₂²⋊D₄₃	C₂⁴	1	6	yes	—
482	C₂×C₂²⋊D₄₃	C₂⁴	1	12	yes	—
483	C₂×C₂²⋊D₄₃	C₂⁴	1	6	yes	—
484	C₂×C₂²⋊D₄₃	C₂⁴	1	6	yes	—
485	C₂×C₂²⋊D₄₃	C₂⁴	1	6	yes	—
486	C₂²×Dic₄₃	—	2	12	no	—
487	C₂²×Dic₄₃	—	2	24	no	—
488	C₂²×Dic₄₃	C₂⁴	1	6	yes	—
489	C₂²×Dic₄₃	C₂⁴	1	3	yes	—
490	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
491	C₂²×Dic₄₃	C₂⁴	1	6	yes	—
492	C₂²×Dic₄₃	C₂⁴	1	12	yes	—
493	C₂²×Dic₄₃	C₂⁴	1	3	yes	—
494	C₂²×Dic₄₃	C₂⁴	1	3	yes	—
495	C₂²×Dic₄₃	C₂⁴	1	3	yes	—
496	C₂²×Dic₄₃	C₂⁴	1	6	yes	—
497	C₂²×Dic₄₃	C₂⁴	1	3	yes	—
498	#10621902	—	2	4	no	—
499	#10621902	—	2	12	no	—
500	#10621902	—	2	4	no	—
501	#10621902	—	2	12	no	—
502	#10621902	C₂×D₄	1	8	yes	complemented
503	Q₈×D₄₃	—	2	4	no	—
504	Q₈×D₄₃	—	2	8	no	—
505	Q₈×D₄₃	—	2	12	no	—
506	Q₈×D₄₃	—	2	12	no	—
507	Q₈×D₄₃	—	2	12	no	—
508	Q₈×D₄₃	C₂×D₄	1	8	yes	complemented
509	#10621900	—	2	12	no	—
510	#10621900	—	2	24	no	—
511	#10621900	—	2	24	no	—
512	#10621900	—	2	48	no	—
513	#10621900	—	2	24	no	—
514	#10621900	—	2	24	no	—
515	#10621900	—	2	12	no	—
516	#10621900	—	2	12	no	—
517	#10621900	—	2	24	no	—
518	#10621900	—	2	24	no	—
519	#10621900	—	2	24	no	—
520	#10621900	—	2	12	no	—
521	#10621900	—	2	24	no	—
522	#10621900	C₂×D₄	1	24	yes	complemented
523	D₄×D₄₃	—	2	12	no	—
524	D₄×D₄₃	—	2	24	no	—
525	D₄×D₄₃	—	2	12	no	—
526	D₄×D₄₃	—	2	24	no	—
527	D₄×D₄₃	—	2	12	no	—
528	D₄×D₄₃	—	2	12	no	—
529	D₄×D₄₃	—	2	24	no	—
530	D₄×D₄₃	—	2	24	no	—
531	D₄×D₄₃	—	4	12	no	—
532	D₄×D₄₃	—	4	12	no	—
533	D₄×D₄₃	C₂×D₄	1	24	yes	complemented
534	#10621898	—	2	12	no	—
535	#10621898	—	2	12	no	—
536	#10621898	—	2	24	no	—
537	#10621898	—	2	12	no	—
538	#10621898	—	2	24	no	—
539	#10621898	—	2	24	no	—
540	#10621898	—	2	24	no	—
541	#10621898	—	2	12	no	—
542	#10621898	C₂×D₄	1	24	yes	complemented
543	C₂×D₁₇₂	—	2	12	no	—
544	C₂×D₁₇₂	C₂⁴	1	2	yes	—
545	C₂×D₁₇₂	C₂⁴	1	2	yes	—
546	C₂×D₁₇₂	C₂⁴	1	6	yes	—
547	C₂×D₁₇₂	C₂⁴	1	1	yes	characteristic
548	C₂×D₁₇₂	C₂⁴	1	3	yes	—
549	C₂×D₁₇₂	C₂⁴	1	6	yes	—
550	C₂×D₁₇₂	C₂⁴	1	3	yes	—
551	C₂×C₄×D₄₃	—	2	12	no	—
552	C₂×C₄×D₄₃	—	2	12	no	—
553	C₂×C₄×D₄₃	—	2	4	no	—
554	C₂×C₄×D₄₃	—	2	12	no	—
555	C₂×C₄×D₄₃	—	2	12	no	—
556	C₂×C₄×D₄₃	—	2	12	no	—
557	C₂×C₄×D₄₃	—	2	12	no	—
558	C₂×C₄×D₄₃	—	2	12	no	—
559	C₂×C₄×D₄₃	—	2	12	no	—
560	C₂×C₄×D₄₃	—	2	12	no	—
561	C₂×C₄×D₄₃	—	2	24	no	—
562	C₂×C₄×D₄₃	—	2	12	no	—
563	C₂×C₄×D₄₃	C₂×D₄	1	24	yes	complemented
564	C₂×C₄×D₄₃	C₂⁴	1	6	yes	—
565	C₂×C₄×D₄₃	C₂⁴	1	3	yes	—
566	C₂×C₄×D₄₃	C₂⁴	1	3	yes	—
567	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
568	C₂×C₄×D₄₃	C₂⁴	1	3	yes	—
569	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
570	C₂×C₄×D₄₃	C₂⁴	1	3	yes	—
571	C₂×C₄×D₄₃	C₂⁴	1	3	yes	—
572	C₂×C₄×D₄₃	C₂⁴	1	3	yes	—
573	C₂×C₄×D₄₃	C₂⁴	1	6	yes	—
574	C₂×C₄×D₄₃	C₂⁴	1	3	yes	—
575	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
576	C₂×C₄×D₄₃	C₂⁴	1	3	yes	—
577	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
578	C₂×C₄×D₄₃	C₂⁴	1	3	yes	—
579	C₂×C₄×D₄₃	C₂⁴	1	6	yes	—
580	C₂×C₄×D₄₃	C₂⁴	1	6	yes	—
581	C₂×C₄×D₄₃	C₂⁴	1	3	yes	—
582	C₂×C₄×D₄₃	C₂⁴	1	3	yes	—
583	C₂×C₄×D₄₃	C₂⁴	1	3	yes	—
584	C₂×C₄×D₄₃	C₂⁴	1	1	yes	characteristic
585	C₂×Dic₈₆	—	2	12	no	—
586	C₂×Dic₈₆	—	2	12	no	—
587	C₂×Dic₈₆	—	2	24	no	—
588	C₂×Dic₈₆	C₂⁴	1	6	yes	—
589	C₂×Dic₈₆	C₂⁴	1	6	yes	—
590	C₂×Dic₈₆	C₂⁴	1	3	yes	—
591	C₂×Dic₈₆	C₂⁴	1	6	yes	—
592	C₂×Dic₈₆	C₂⁴	1	3	yes	—
593	C₂×Dic₈₆	C₂⁴	1	3	yes	—
594	C₄⋊C₄×C₄₃	C₂⁴	1	3	yes	—
595	C₄⋊C₄×C₄₃	C₂⁴	1	6	yes	—
596	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
597	C₄⋊C₄×C₄₃	C₂⁴	1	6	yes	—
598	C₄⋊C₄×C₄₃	C₂⁴	1	2	yes	—
599	C₂²⋊C₄×C₄₃	C₂⁴	1	6	yes	—
600	C₂²⋊C₄×C₄₃	C₂⁴	1	12	yes	—
601	C₂²⋊C₄×C₄₃	C₂⁴	1	6	yes	—
602	C₂²⋊C₄×C₄₃	C₂⁴	1	2	yes	—
603	C₂²⋊C₄×C₄₃	C₂⁴	1	6	yes	—
604	C₂²⋊C₄×C₄₃	C₂⁴	1	6	yes	—
605	C₄²×C₄₃	C₂⁴	1	6	yes	—
606	C₂²⋊Dic₄₃	C₂⁴	1	6	yes	—
607	C₂²⋊Dic₄₃	C₂⁴	1	6	yes	—
608	C₂²⋊Dic₄₃	C₂⁴	1	6	yes	—
609	C₂²⋊Dic₄₃	C₂⁴	1	6	yes	—
610	C₂²⋊Dic₄₃	C₂⁴	1	6	yes	—
611	C₂²⋊Dic₄₃	C₂⁴	1	12	yes	—
612	C₂²⋊Dic₄₃	C₂⁴	1	12	yes	—
613	(C₂×D₄₃)⋊C₄	C₂⁴	1	2	yes	—
614	(C₂×D₄₃)⋊C₄	C₂⁴	1	2	yes	—
615	(C₂×D₄₃)⋊C₄	C₂⁴	1	6	yes	—
616	(C₂×D₄₃)⋊C₄	C₂⁴	1	6	yes	—
617	(C₂×D₄₃)⋊C₄	C₂⁴	1	6	yes	—
618	(C₂×D₄₃)⋊C₄	C₂⁴	1	6	yes	—
619	(C₂×D₄₃)⋊C₄	C₂⁴	1	2	yes	—
620	(C₂×D₄₃)⋊C₄	C₂⁴	1	2	yes	—
621	(C₂×D₄₃)⋊C₄	C₂⁴	1	6	yes	—
622	(C₂×D₄₃)⋊C₄	C₂⁴	1	6	yes	—
623	(C₂×D₄₃)⋊C₄	C₂⁴	1	12	yes	—
624	(C₂×D₄₃)⋊C₄	C₂⁴	1	12	yes	—
625	C₄⋊Dic₄₃	C₂⁴	1	1	yes	characteristic
626	C₄⋊Dic₄₃	C₂⁴	1	3	yes	—
627	C₄⋊Dic₄₃	C₂⁴	1	6	yes	—
628	C₄⋊Dic₄₃	C₂⁴	1	6	yes	—
629	C₄⋊Dic₄₃	C₂⁴	1	6	yes	—
630	C₄⋊Dic₄₃	C₂⁴	1	12	yes	—
631	Dic₄₃⋊C₄	C₂⁴	1	2	yes	—
632	Dic₄₃⋊C₄	C₂⁴	1	6	yes	—
633	Dic₄₃⋊C₄	C₂⁴	1	6	yes	—
634	Dic₄₃⋊C₄	C₂⁴	1	6	yes	—
635	Dic₄₃⋊C₄	C₂⁴	1	6	yes	—
636	Dic₄₃⋊C₄	C₂⁴	1	6	yes	—
637	Dic₄₃⋊C₄	C₂⁴	1	12	yes	—
638	C₄×Dic₄₃	C₂⁴	1	2	yes	—
639	C₄×Dic₄₃	C₂⁴	1	6	yes	—
640	C₄×Dic₄₃	C₂⁴	1	6	yes	—
641	C₄×Dic₄₃	C₂⁴	1	12	yes	—
642	C₂³×C₄₃	—	2	6	no	—
643	C₂³×C₄₃	—	2	6	no	—
644	C₂³×C₄₃	—	2	12	no	—
645	C₂³×C₄₃	—	4	3	no	—
646	C₂³×C₄₃	—	4	6	no	—
647	C₂³×C₄₃	—	4	6	no	—
648	C₂³×C₄₃	C₂⁵	1	3	yes	—
649	C₂³×C₄₃	C₂⁵	1	6	yes	—
650	C₂³×C₄₃	C₂⁵	1	3	yes	—
651	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
652	C₂²×D₄₃	—	2	2	no	—
653	C₂²×D₄₃	—	2	2	no	—
654	C₂²×D₄₃	—	2	2	no	—
655	C₂²×D₄₃	—	2	6	no	—
656	C₂²×D₄₃	—	2	6	no	—
657	C₂²×D₄₃	—	2	6	no	—
658	C₂²×D₄₃	—	2	6	no	—
659	C₂²×D₄₃	—	2	6	no	—
660	C₂²×D₄₃	—	2	6	no	—
661	C₂²×D₄₃	—	2	6	no	—
662	C₂²×D₄₃	—	2	12	no	—
663	C₂²×D₄₃	—	4	3	no	—
664	C₂²×D₄₃	—	4	3	no	—
665	C₂²×D₄₃	—	4	3	no	—
666	C₂²×D₄₃	—	4	3	no	—
667	C₂²×D₄₃	—	4	3	no	—
668	C₂²×D₄₃	—	4	3	no	—
669	C₂²×D₄₃	—	4	3	no	—
670	C₂²×D₄₃	—	4	6	no	—
671	C₂²×D₄₃	—	4	6	no	—
672	C₂²×D₄₃	—	4	48	no	—
673	C₂²×D₄₃	C₂²×D₄	1	12	yes	—
674	C₂²×D₄₃	C₂⁵	1	3	yes	—
675	C₂²×D₄₃	C₂⁵	1	2	yes	—
676	C₂²×D₄₃	C₂⁵	1	1	yes	characteristic
677	C₂²×D₄₃	C₂⁵	1	3	yes	—
678	C₂²×D₄₃	C₂⁵	1	1	yes	characteristic
679	Q₈×C₄₃	—	2	2	no	—
680	Q₈×C₄₃	—	2	6	no	—
681	Q₈×C₄₃	C₂²×D₄	1	4	yes	—
682	D₄×C₄₃	—	2	12	no	—
683	D₄×C₄₃	—	2	12	no	—
684	D₄×C₄₃	—	2	12	no	—
685	D₄×C₄₃	—	2	6	no	—
686	D₄×C₄₃	—	2	12	no	—
687	D₄×C₄₃	—	2	6	no	—
688	D₄×C₄₃	—	4	6	no	—
689	D₄×C₄₃	—	4	12	no	—
690	D₄×C₄₃	C₂²×D₄	1	12	yes	—
691	C₂×C₄×C₄₃	—	2	6	no	—
692	C₂×C₄×C₄₃	—	2	6	no	—
693	C₂×C₄×C₄₃	—	2	12	no	—
694	C₂×C₄×C₄₃	—	2	2	no	—
695	C₂×C₄×C₄₃	—	2	6	no	—
696	C₂×C₄×C₄₃	—	2	6	no	—
697	C₂×C₄×C₄₃	—	4	6	no	—
698	C₂×C₄×C₄₃	C₂²×D₄	1	12	yes	—
699	C₂×C₄×C₄₃	C₂⁵	1	6	yes	—
700	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
701	C₂×C₄×C₄₃	C₂⁵	1	3	yes	—
702	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
703	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
704	C₂×C₄×C₄₃	C₂⁵	1	3	yes	—
705	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
706	C₂²⋊D₄₃	—	2	12	no	—
707	C₂²⋊D₄₃	—	2	12	no	—
708	C₂²⋊D₄₃	—	2	4	no	—
709	C₂²⋊D₄₃	—	2	12	no	—
710	C₂²⋊D₄₃	—	2	12	no	—
711	C₂²⋊D₄₃	—	2	24	no	—
712	C₂²⋊D₄₃	—	2	12	no	—
713	C₂²⋊D₄₃	—	2	12	no	—
714	C₂²⋊D₄₃	—	2	12	no	—
715	C₂²⋊D₄₃	—	4	6	no	—
716	C₂²⋊D₄₃	—	4	6	no	—
717	C₂²⋊D₄₃	—	4	12	no	—
718	C₂²⋊D₄₃	C₂²×D₄	1	24	yes	—
719	C₂×Dic₄₃	—	2	12	no	—
720	C₂×Dic₄₃	—	2	6	no	—
721	C₂×Dic₄₃	—	2	6	no	—
722	C₂×Dic₄₃	—	2	24	no	—
723	C₂×Dic₄₃	—	2	2	no	—
724	C₂×Dic₄₃	—	2	6	no	—
725	C₂×Dic₄₃	—	2	6	no	—
726	C₂×Dic₄₃	—	2	12	no	—
727	C₂×Dic₄₃	—	4	6	no	—
728	C₂×Dic₄₃	C₂²×D₄	1	12	yes	—
729	C₂×Dic₄₃	C₂⁵	1	2	yes	—
730	C₂×Dic₄₃	C₂⁵	1	6	yes	—
731	C₂×Dic₄₃	C₂⁵	1	6	yes	—
732	C₂×Dic₄₃	C₂⁵	1	3	yes	—
733	C₂×Dic₄₃	C₂⁵	1	1	yes	characteristic
734	C₂×Dic₄₃	C₂⁵	1	1	yes	characteristic
735	C₂×Dic₄₃	C₂⁵	1	3	yes	—
736	D₁₇₂	—	2	12	no	—
737	D₁₇₂	—	2	4	no	—
738	D₁₇₂	—	2	4	no	—
739	D₁₇₂	—	2	6	no	—
740	D₁₇₂	—	2	2	no	—
741	D₁₇₂	—	4	6	no	—
742	D₁₇₂	C₂²×D₄	1	12	yes	—
743	C₄×D₄₃	—	2	2	no	—
744	C₄×D₄₃	—	2	6	no	—
745	C₄×D₄₃	—	2	6	no	—
746	C₄×D₄₃	—	2	6	no	—
747	C₄×D₄₃	—	2	12	no	—
748	C₄×D₄₃	—	2	2	no	—
749	C₄×D₄₃	—	2	6	no	—
750	C₄×D₄₃	—	2	6	no	—
751	C₄×D₄₃	—	2	6	no	—
752	C₄×D₄₃	—	2	12	no	—
753	C₄×D₄₃	—	2	2	no	—
754	C₄×D₄₃	—	2	6	no	—
755	C₄×D₄₃	—	2	6	no	—
756	C₄×D₄₃	—	2	4	no	—
757	C₄×D₄₃	—	2	6	no	—
758	C₄×D₄₃	—	4	6	no	—
759	C₄×D₄₃	—	4	6	no	—
760	C₄×D₄₃	C₂²×D₄	1	4	yes	—
761	C₄×D₄₃	C₂²×D₄	1	12	yes	—
762	C₄×D₄₃	C₂²×D₄	1	12	yes	—
763	C₄×D₄₃	C₂²×D₄	1	12	yes	—
764	Dic₈₆	—	2	12	no	—
765	Dic₈₆	—	2	6	no	—
766	Dic₈₆	—	2	6	no	—
767	Dic₈₆	—	2	12	no	—
768	Dic₈₆	—	2	12	no	—
769	Dic₈₆	C₂²×D₄	1	12	yes	—
770	#62811	—	43	1	no	maximal, Sylow
771	C₂²×C₄₃	—	2	1	no	—
772	C₂²×C₄₃	—	2	1	no	—
773	C₂²×C₄₃	—	2	3	no	—
774	C₂²×C₄₃	—	2	3	no	—
775	C₂²×C₄₃	—	2	3	no	—
776	C₂²×C₄₃	—	2	6	no	—
777	C₂²×C₄₃	—	2	3	no	—
778	C₂²×C₄₃	—	2	3	no	—
779	C₂²×C₄₃	—	2	6	no	—
780	C₂²×C₄₃	—	2	6	no	—
781	C₂²×C₄₃	—	4	12	no	—
782	C₂²×C₄₃	—	8	12	no	—
783	C₂²×C₄₃	C₂³×D₄	1	6	yes	—
784	C₂²×C₄₃	#585	1	2	yes	complemented
785	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
786	C₂×D₄₃	—	2	8	no	—
787	C₂×D₄₃	—	2	1	no	—
788	C₂×D₄₃	—	2	1	no	—
789	C₂×D₄₃	—	2	1	no	—
790	C₂×D₄₃	—	2	1	no	—
791	C₂×D₄₃	—	2	3	no	—
792	C₂×D₄₃	—	2	3	no	—
793	C₂×D₄₃	—	2	3	no	—
794	C₂×D₄₃	—	2	2	no	—
795	C₂×D₄₃	—	2	3	no	—
796	C₂×D₄₃	—	2	3	no	—
797	C₂×D₄₃	—	2	2	no	—
798	C₂×D₄₃	—	2	2	no	—
799	C₂×D₄₃	—	4	12	no	—
800	C₂×D₄₃	—	4	12	no	—
801	C₂×D₄₃	—	4	12	no	—
802	C₂×D₄₃	—	4	12	no	—
803	C₂×D₄₃	—	4	12	no	—
804	C₂×D₄₃	—	8	12	no	—
805	C₂×D₄₃	C₂³×D₄	1	2	yes	—
806	C₂×D₄₃	C₂³×D₄	1	6	yes	—
807	C₂×D₄₃	#585	1	2	yes	complemented
808	C₄×C₄₃	—	2	2	no	—
809	C₄×C₄₃	—	2	3	no	—
810	C₄×C₄₃	—	2	1	no	—
811	C₄×C₄₃	—	2	2	no	—
812	C₄×C₄₃	—	2	6	no	—
813	C₄×C₄₃	C₂³×D₄	1	6	yes	—
814	C₄×C₄₃	C₂³×D₄	1	2	yes	—
815	Dic₄₃	—	2	3	no	—
816	Dic₄₃	—	2	6	no	—
817	Dic₄₃	—	2	1	no	—
818	Dic₄₃	—	2	2	no	—
819	Dic₄₃	—	2	6	no	—
820	Dic₄₃	C₂³×D₄	1	6	yes	—
821	Dic₄₃	C₂³×D₄	1	2	yes	—
822	C₂×#585	—	43	1	no	—
823	C₂³×#41	—	43	1	no	—
824	#3489	—	43	1	no	—
825	#3489	—	43	3	no	—
826	#3489	—	43	3	no	—
827	#3489	—	43	1	no	—
828	#3488	—	43	1	no	—
829	#3488	—	43	3	no	—
830	#3488	—	43	3	no	—
831	#3488	D₄₃	1	1	yes	characteristic, complemented
832	#3487	—	43	2	no	—
833	#3486	—	43	2	no	—
834	#3485	—	43	6	no	—
835	#3484	—	43	6	no	—
836	D₄×#41	—	43	2	no	—
837	D₄×#41	—	43	2	no	—
838	D₄×#41	—	43	6	no	—
839	D₄×#41	—	43	6	no	—
840	#3449	—	43	3	no	—
841	#3449	—	43	3	no	—
842	C₂×#525	—	43	3	no	—
843	C₂×#525	—	43	3	no	—
844	#3428	—	43	1	no	—
845	C₂×C₄₃	—	2	2	no	—
846	C₂×C₄₃	—	2	6	no	—
847	C₂×C₄₃	—	4	3	no	—
848	C₂×C₄₃	—	4	6	no	—
849	C₂×C₄₃	C₂⁴×D₄	1	1	yes	characteristic
850	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
851	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
852	D₄₃	—	2	2	no	—
853	D₄₃	—	2	2	no	—
854	D₄₃	—	2	6	no	—
855	D₄₃	—	4	3	no	—
856	D₄₃	—	4	2	no	—
857	#585	—	86	16	no	—
858	C₂×2₋¹⁺⁴	—	43	1	no	—
859	C₂×2₋¹⁺⁴	—	43	2	no	—
860	C₂×2₋¹⁺⁴	—	43	3	no	—
861	C₂×H(5,𝔽₂)	—	43	6	no	—
862	C₂×H(5,𝔽₂)	—	43	3	no	—
863	C₂×H(5,𝔽₂)	C₂×D₄₃	1	1	yes	characteristic, complemented
864	C₂²×#41	—	43	1	no	—
865	C₂²×#41	—	43	3	no	—
866	C₂²×#41	—	43	1	no	—
867	C₂²×#41	—	43	3	no	—
868	C₂²×#41	—	43	3	no	—
869	C₂²×#41	—	43	1	no	—
870	C₂²×#41	—	43	3	no	—
871	C₂²×#41	—	43	1	no	—
872	C₂²×#41	—	43	3	no	—
873	C₂²×#41	—	43	2	no	—
874	C₂²×#41	—	43	1	no	—
875	C₂²×#41	—	43	3	no	—
876	C₂²×#41	—	43	3	no	—
877	C₂²×#41	—	43	6	no	—
878	C₂²×#41	—	43	3	no	—
879	C₂²×#41	—	86	16	no	—
880	C₂²×#41	C₂×D₄₃	1	1	yes	characteristic, complemented
881	C₂³×Q₈	—	43	1	no	—
882	C₂³×D₄	—	43	3	no	—
883	C₂⁴×C₄	—	43	3	no	—
884	#550	—	43	2	no	—
885	#550	—	43	6	no	—
886	#550	—	43	6	no	—
887	#550	C₂×D₄₃	1	2	yes	complemented
888	D₄×Q₈	—	43	2	no	—
889	D₄×Q₈	—	43	6	no	—
890	D₄×Q₈	—	43	2	no	—
891	D₄×Q₈	—	43	6	no	—
892	#548	—	43	2	no	—
893	#548	—	43	2	no	—
894	#548	—	43	6	no	—
895	#548	—	43	6	no	—
896	#548	—	43	6	no	—
897	#548	—	43	2	no	—
898	#548	—	43	6	no	—
899	#548	C₂×D₄₃	1	2	yes	complemented
900	#547	—	43	6	no	—
901	#547	—	43	12	no	—
902	#547	—	43	6	no	—
903	#547	—	43	12	no	—
904	#547	—	43	6	no	—
905	#547	—	43	6	no	—
906	#546	—	43	6	no	—
907	#546	—	43	6	no	—
908	#546	—	43	6	no	—
909	#546	—	43	12	no	—
910	#546	—	43	6	no	—
911	#546	—	43	6	no	—
912	#546	—	43	12	no	—
913	#546	—	43	12	no	—
914	#546	—	43	6	no	—
915	#546	—	43	6	no	—
916	#546	—	43	12	no	—
917	#546	C₂×D₄₃	1	6	yes	complemented
918	D₄²	—	43	12	no	—
919	D₄²	—	43	6	no	—
920	D₄²	—	43	6	no	—
921	D₄²	—	43	6	no	—
922	D₄²	—	43	12	no	—
923	D₄²	C₂×D₄₃	1	6	yes	complemented
924	#537	—	43	3	no	—
925	#537	—	43	3	no	—
926	#537	—	43	6	no	—
927	#537	—	43	6	no	—
928	#537	—	43	3	no	—
929	#537	C₂×D₄₃	1	3	yes	complemented
930	#536	—	43	3	no	—
931	#536	—	43	6	no	—
932	#536	—	43	6	no	—
933	#536	—	43	6	no	—
934	#536	—	43	3	no	—
935	#535	—	43	3	no	—
936	#535	—	43	6	no	—
937	#535	—	43	6	no	—
938	#535	—	43	6	no	—
939	#535	C₂×D₄₃	1	3	yes	complemented
940	#534	—	43	12	no	—
941	#534	—	43	12	no	—
942	#532	—	43	6	no	—
943	#532	—	43	6	no	—
944	#532	—	43	12	no	—
945	#525	—	43	3	no	—
946	#525	—	43	3	no	—
947	#525	—	43	6	no	—
948	#525	—	43	1	no	—
949	#525	—	43	3	no	—
950	#525	—	43	6	no	—
951	#525	—	43	3	no	—
952	#525	—	43	6	no	—
953	#525	—	43	6	no	—
954	#525	—	43	6	no	—
955	#525	—	43	3	no	—
956	#525	—	43	6	no	—
957	#525	—	43	6	no	—
958	#525	—	43	6	no	—
959	#525	—	43	6	no	—
960	#525	—	43	6	no	—
961	#525	—	43	6	no	—
962	#525	—	43	12	no	—
963	#525	—	43	6	no	—
964	#525	—	43	6	no	—
965	#525	—	43	3	no	—
966	#525	C₂×D₄₃	1	3	yes	complemented
967	C₂×#123	—	43	6	no	—
968	C₂×#123	—	43	6	no	—
969	C₂×C₂²⋊Q₈	—	43	3	no	—
970	C₂×C₂²⋊Q₈	—	43	3	no	—
971	C₂×C₂²⋊Q₈	—	43	3	no	—
972	C₂×C₂²⋊Q₈	—	43	3	no	—
973	C₂×#121	—	43	3	no	—
974	C₂×#121	—	43	3	no	—
975	C₂×#121	—	43	3	no	—
976	C₂×#121	C₂×D₄₃	1	3	yes	complemented
977	C₂×#120	—	43	6	no	—
978	C₂×#120	—	43	6	no	—
979	#520	—	43	1	no	—
980	#520	—	43	3	no	—
981	#520	—	43	3	no	—
982	#520	C₂×D₄₃	1	1	yes	characteristic, complemented
983	#519	—	43	2	no	—
984	#518	—	43	6	no	—
985	C₄×#41	—	43	2	no	—
986	C₄×#41	—	43	6	no	—
987	C₂×C₄×D₄	—	43	6	no	—
988	C₂×C₄×D₄	—	43	6	no	—
989	C₂×C₄×D₄	—	43	6	no	—
990	C₂×C₄×D₄	—	43	6	no	—
991	C₂×#117	—	43	3	no	—
992	C₂×#117	—	43	3	no	—
993	C₄₃	#62811	1	1	yes	characteristic, complemented, Sylow
994	C₂⁵	—	43	3	no	—
995	2₋¹⁺⁴	—	86	16	no	—
996	2₋¹⁺⁴	—	86	24	no	—
997	2₋¹⁺⁴	—	86	8	no	—
998	H(5,𝔽₂)	—	2	8	no	—
999	H(5,𝔽₂)	—	86	48	no	—
1000	H(5,𝔽₂)	—	86	24	no	—
1001	C₂×#41	—	2	8	no	—
1002	C₂×#41	—	43	16	no	—
1003	C₂×#41	—	43	1	no	—
1004	C₂×#41	—	43	1	no	—
1005	C₂×#41	—	43	3	no	—
1006	C₂×#41	—	43	3	no	—
1007	C₂×#41	—	43	1	no	—
1008	C₂×#41	—	43	3	no	—
1009	C₂×#41	—	43	3	no	—
1010	C₂×#41	—	43	6	no	—
1011	C₂×#41	—	43	3	no	—
1012	C₂×#41	—	43	6	no	—
1013	C₂×#41	—	43	6	no	—
1014	C₂×#41	—	43	6	no	—
1015	C₂×#41	—	43	6	no	—
1016	C₂×#41	—	43	3	no	—
1017	C₂×#41	—	43	6	no	—
1018	C₂×#41	—	43	6	no	—
1019	C₂×#41	—	43	12	no	—
1020	C₂×#41	—	43	3	no	—
1021	C₂×#41	—	43	6	no	—
1022	C₂×#41	—	43	3	no	—
1023	C₂×#41	—	43	6	no	—
1024	C₂×#41	—	43	3	no	—
1025	C₂×#41	—	43	6	no	—
1026	C₂×#41	—	43	3	no	—
1027	C₂×#41	—	43	3	no	—
1028	C₂×#41	—	43	6	no	—
1029	C₂×#41	—	43	6	no	—
1030	C₂×#41	—	43	3	no	—
1031	C₂×#41	—	86	24	no	—
1032	C₂×#41	—	86	24	no	—
1033	C₂×#41	—	86	24	no	—
1034	C₂×#41	—	86	24	no	—
1035	C₂×#41	—	86	24	no	—
1036	C₂×#41	—	86	48	no	—
1037	C₂×#41	—	86	24	no	—
1038	C₂×#41	—	86	8	no	—
1039	C₂×#41	—	86	8	no	—
1040	C₂×#41	—	86	8	no	—
1041	C₂×#41	—	86	24	no	—
1042	C₂×#41	—	86	24	no	—
1043	C₂×#41	—	86	16	no	—
1044	C₂×#41	—	86	8	no	—
1045	C₂×#41	C₂²×D₄₃	1	3	yes	—
1046	C₂×#41	C₂²×D₄₃	1	3	yes	—
1047	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
1048	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
1049	C₂×#41	C₂²×D₄₃	1	3	yes	complemented
1050	C₂×#41	C₂²×D₄₃	1	2	yes	complemented
1051	C₂²×Q₈	—	43	1	no	—
1052	C₂²×Q₈	—	43	3	no	—
1053	C₂²×Q₈	—	43	3	no	—
1054	C₂²×Q₈	—	43	3	no	—
1055	C₂²×Q₈	—	43	1	no	—
1056	C₂²×Q₈	—	43	2	no	—
1057	C₂²×Q₈	—	43	3	no	—
1058	C₂²×Q₈	—	43	3	no	—
1059	C₂²×Q₈	—	43	6	no	—
1060	C₂²×Q₈	—	86	8	no	—
1061	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
1062	C₂²×D₄	—	43	3	no	—
1063	C₂²×D₄	—	43	6	no	—
1064	C₂²×D₄	—	43	6	no	—
1065	C₂²×D₄	—	43	12	no	—
1066	C₂²×D₄	—	43	6	no	—
1067	C₂²×D₄	—	43	6	no	—
1068	C₂²×D₄	—	43	3	no	—
1069	C₂²×D₄	—	43	6	no	—
1070	C₂²×D₄	—	43	3	no	—
1071	C₂²×D₄	—	43	6	no	—
1072	C₂²×D₄	—	43	3	no	—
1073	C₂²×D₄	—	43	3	no	—
1074	C₂²×D₄	—	43	6	no	—
1075	C₂²×D₄	—	43	6	no	—
1076	C₂²×D₄	—	43	6	no	—
1077	C₂²×D₄	—	43	3	no	—
1078	C₂²×D₄	—	86	24	no	—
1079	C₂²×D₄	C₂²×D₄₃	1	3	yes	—
1080	C₂²×D₄	C₂²×D₄₃	1	6	yes	—
1081	C₂²×D₄	C₂²×D₄₃	1	3	yes	complemented
1082	C₂²×D₄	C₂²×D₄₃	1	6	yes	complemented
1083	C₂³×C₄	—	43	3	no	—
1084	C₂³×C₄	—	43	3	no	—
1085	C₂³×C₄	—	43	6	no	—
1086	C₂³×C₄	—	43	3	no	—
1087	C₂³×C₄	—	43	3	no	—
1088	C₂³×C₄	—	43	3	no	—
1089	C₂³×C₄	—	43	6	no	—
1090	C₂³×C₄	—	43	3	no	—
1091	C₂³×C₄	—	43	3	no	—
1092	C₂³×C₄	—	43	3	no	—
1093	C₂³×C₄	—	43	3	no	—
1094	C₂³×C₄	—	43	1	no	—
1095	C₂³×C₄	—	43	3	no	—
1096	C₂³×C₄	—	43	3	no	—
1097	C₂³×C₄	—	43	3	no	—
1098	C₂³×C₄	—	86	24	no	—
1099	C₂³×C₄	C₂²×D₄₃	1	3	yes	—
1100	C₄⋊Q₈	—	43	6	no	—
1101	C₄⋊Q₈	—	43	12	no	—
1102	C₄⋊Q₈	—	43	6	no	—
1103	#127	—	43	12	no	—
1104	#127	—	43	6	no	—
1105	#127	C₂²×D₄₃	1	6	yes	complemented
1106	#124	—	43	6	no	—
1107	#124	—	43	6	no	—
1108	#124	—	43	12	no	—
1109	#124	—	43	12	no	—
1110	#124	—	43	6	no	—
1111	#124	C₂²×D₄₃	1	6	yes	complemented
1112	#123	—	43	6	no	—
1113	#123	—	43	12	no	—
1114	#123	—	43	6	no	—
1115	#123	—	43	2	no	—
1116	#123	—	43	6	no	—
1117	#123	—	43	12	no	—
1118	#123	—	43	6	no	—
1119	#123	—	43	6	no	—
1120	#123	—	43	12	no	—
1121	#123	—	43	12	no	—
1122	#123	—	43	12	no	—
1123	#123	—	43	6	no	—
1124	#123	—	43	12	no	—
1125	#123	—	43	12	no	—
1126	#123	C₂²×D₄₃	1	6	yes	complemented
1127	C₂²⋊Q₈	—	43	1	no	—
1128	C₂²⋊Q₈	—	43	3	no	—
1129	C₂²⋊Q₈	—	43	6	no	—
1130	C₂²⋊Q₈	—	43	3	no	—
1131	C₂²⋊Q₈	—	43	6	no	—
1132	C₂²⋊Q₈	—	43	3	no	—
1133	C₂²⋊Q₈	—	43	6	no	—
1134	C₂²⋊Q₈	—	43	6	no	—
1135	C₂²⋊Q₈	—	43	6	no	—
1136	C₂²⋊Q₈	—	43	3	no	—
1137	C₂²⋊Q₈	—	43	3	no	—
1138	C₂²⋊Q₈	—	43	6	no	—
1139	C₂²⋊Q₈	—	43	6	no	—
1140	C₂²⋊Q₈	—	43	6	no	—
1141	C₂²⋊Q₈	—	43	6	no	—
1142	C₂²⋊Q₈	—	43	6	no	—
1143	C₂²⋊Q₈	—	43	6	no	—
1144	C₂²⋊Q₈	—	43	6	no	—
1145	C₂²⋊Q₈	—	43	6	no	—
1146	C₂²⋊Q₈	—	43	12	no	—
1147	C₂²⋊Q₈	—	43	12	no	—
1148	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
1149	C₂²⋊Q₈	C₂²×D₄₃	1	3	yes	complemented
1150	C₂²⋊Q₈	C₂²×D₄₃	1	6	yes	complemented
1151	#121	—	43	3	no	—
1152	#121	—	43	6	no	—
1153	#121	—	43	3	no	—
1154	#121	—	43	6	no	—
1155	#121	—	43	6	no	—
1156	#121	—	43	6	no	—
1157	#121	—	43	6	no	—
1158	#121	—	43	6	no	—
1159	#121	—	43	12	no	—
1160	#121	—	43	12	no	—
1161	#121	—	43	12	no	—
1162	#121	—	43	12	no	—
1163	#121	—	43	12	no	—
1164	#121	—	43	12	no	—
1165	#121	—	43	1	no	—
1166	#121	—	43	3	no	—
1167	#121	—	43	6	no	—
1168	#121	—	43	12	no	—
1169	#121	—	43	1	no	—
1170	#121	—	43	3	no	—
1171	#121	—	43	6	no	—
1172	#121	—	43	6	no	—
1173	#121	—	43	6	no	—
1174	#121	—	43	12	no	—
1175	#121	—	43	12	no	—
1176	#121	C₂²×D₄₃	1	3	yes	—
1177	#121	C₂²×D₄₃	1	6	yes	—
1178	#121	C₂²×D₄₃	1	3	yes	complemented
1179	#121	C₂²×D₄₃	1	6	yes	complemented
1180	#121	C₂²×D₄₃	1	6	yes	complemented
1181	#121	C₂²×D₄₃	1	6	yes	complemented
1182	#121	C₂²×D₄₃	1	12	yes	complemented
1183	#120	—	43	6	no	—
1184	#120	—	43	12	no	—
1185	#120	—	43	6	no	—
1186	#120	—	43	12	no	—
1187	#120	—	43	6	no	—
1188	#120	—	43	12	no	—
1189	#120	—	43	6	no	—
1190	#120	—	43	12	no	—
1191	#120	—	43	12	no	—
1192	#120	—	43	2	no	—
1193	#120	—	43	6	no	—
1194	#120	—	43	6	no	—
1195	#120	—	43	12	no	—
1196	#120	C₂²×D₄₃	1	6	yes	—
1197	#120	C₂²×D₄₃	1	12	yes	complemented
1198	C₄×Q₈	—	43	2	no	—
1199	C₄×Q₈	—	43	6	no	—
1200	C₄×Q₈	—	43	6	no	—
1201	C₄×Q₈	C₂²×D₄₃	1	2	yes	complemented
1202	C₄×D₄	—	43	6	no	—
1203	C₄×D₄	—	43	12	no	—
1204	C₄×D₄	—	43	6	no	—
1205	C₄×D₄	—	43	12	no	—
1206	C₄×D₄	—	43	12	no	—
1207	C₄×D₄	—	43	6	no	—
1208	C₄×D₄	—	43	6	no	—
1209	C₄×D₄	—	43	6	no	—
1210	C₄×D₄	—	43	6	no	—
1211	C₄×D₄	—	43	6	no	—
1212	C₄×D₄	—	43	12	no	—
1213	C₄×D₄	—	43	2	no	—
1214	C₄×D₄	—	43	6	no	—
1215	C₄×D₄	—	43	6	no	—
1216	C₄×D₄	—	43	6	no	—
1217	C₄×D₄	—	43	2	no	—
1218	C₄×D₄	—	43	6	no	—
1219	C₄×D₄	—	43	6	no	—
1220	C₄×D₄	—	43	12	no	—
1221	C₄×D₄	—	43	12	no	—
1222	C₄×D₄	—	43	12	no	—
1223	C₄×D₄	—	43	12	no	—
1224	C₄×D₄	—	43	6	no	—
1225	C₄×D₄	—	43	6	no	—
1226	C₄×D₄	—	43	6	no	—
1227	C₄×D₄	C₂²×D₄₃	1	6	yes	—
1228	C₄×D₄	C₂²×D₄₃	1	6	yes	complemented
1229	C₄×D₄	C₂²×D₄₃	1	6	yes	complemented
1230	#117	—	43	3	no	—
1231	#117	—	43	1	no	—
1232	#117	—	43	3	no	—
1233	#117	—	43	6	no	—
1234	#117	—	43	6	no	—
1235	#117	—	43	6	no	—
1236	#117	—	43	6	no	—
1237	#117	—	43	6	no	—
1238	#117	C₂²×D₄₃	1	3	yes	complemented
1239	C₂×C₄⋊C₄	—	43	3	no	—
1240	C₂×C₄⋊C₄	—	43	6	no	—
1241	C₂×C₄⋊C₄	—	43	6	no	—
1242	C₂×C₄⋊C₄	—	43	3	no	—
1243	C₂×C₄⋊C₄	—	43	3	no	—
1244	C₂×C₄⋊C₄	—	43	6	no	—
1245	C₂×C₄⋊C₄	—	43	6	no	—
1246	C₂×C₄⋊C₄	C₂²×D₄₃	1	3	yes	complemented
1247	C₂×C₂²⋊C₄	—	43	6	no	—
1248	C₂×C₂²⋊C₄	—	43	6	no	—
1249	C₂×C₂²⋊C₄	—	43	6	no	—
1250	C₂×C₂²⋊C₄	—	43	6	no	—
1251	C₂×C₂²⋊C₄	—	43	6	no	—
1252	C₂×C₂²⋊C₄	—	43	6	no	—
1253	C₂×C₂²⋊C₄	—	43	6	no	—
1254	C₂×C₂²⋊C₄	—	43	6	no	—
1255	C₂×C₂²⋊C₄	—	43	6	no	—
1256	C₂×C₂²⋊C₄	C₂²×D₄₃	1	6	yes	complemented
1257	C₂×C₄²	—	43	6	no	—
1258	C₂×C₄²	—	43	6	no	—
1259	C₂⁴	—	43	3	no	—
1260	C₂⁴	—	43	1	no	—
1261	C₂⁴	—	43	3	no	—
1262	C₂⁴	—	43	3	no	—
1263	C₂⁴	—	43	3	no	—
1264	C₂⁴	—	43	6	no	—
1265	C₂⁴	—	43	3	no	—
1266	C₂⁴	—	86	12	no	—
1267	C₂⁴	—	172	6	no	—
1268	C₂⁴	—	172	6	no	—
1269	C₂⁴	C₂³×D₄₃	1	3	yes	—
1270	C₂⁴	C₂³×D₄₃	1	6	yes	—
1271	#41	—	2	4	no	—
1272	#41	—	2	8	no	—
1273	#41	—	2	12	no	—
1274	#41	—	2	12	no	—
1275	#41	—	2	12	no	—
1276	#41	—	43	8	no	—
1277	#41	—	43	24	no	—
1278	#41	—	43	24	no	—
1279	#41	—	86	24	no	—
1280	#41	—	86	24	no	—
1281	#41	—	86	24	no	—
1282	#41	—	86	12	no	—
1283	#41	—	86	24	no	—
1284	#41	—	86	12	no	—
1285	#41	—	86	24	no	—
1286	#41	—	86	24	no	—
1287	#41	—	86	12	no	—
1288	#41	—	86	24	no	—
1289	#41	—	86	12	no	—
1290	#41	—	86	24	no	—
1291	#41	—	86	24	no	—
1292	#41	—	86	4	no	—
1293	#41	—	86	12	no	—
1294	#41	—	86	24	no	—
1295	#41	—	86	48	no	—
1296	#41	—	86	12	no	—
1297	#41	—	86	24	no	—
1298	#41	—	86	12	no	—
1299	#41	—	86	4	no	—
1300	#41	—	86	12	no	—
1301	#41	—	86	24	no	—
1302	#41	—	86	12	no	—
1303	#41	—	86	12	no	—
1304	#41	D₄×D₄₃	1	8	yes	complemented
1305	C₂×Q₈	—	2	4	no	—
1306	C₂×Q₈	—	43	8	no	—
1307	C₂×Q₈	—	43	3	no	—
1308	C₂×Q₈	—	43	3	no	—
1309	C₂×Q₈	—	43	6	no	—
1310	C₂×Q₈	—	43	6	no	—
1311	C₂×Q₈	—	43	6	no	—
1312	C₂×Q₈	—	43	3	no	—
1313	C₂×Q₈	—	86	12	no	—
1314	C₂×Q₈	—	86	24	no	—
1315	C₂×Q₈	—	86	12	no	—
1316	C₂×Q₈	—	86	12	no	—
1317	C₂×Q₈	—	86	12	no	—
1318	C₂×Q₈	—	86	4	no	—
1319	C₂×Q₈	—	86	8	no	—
1320	C₂×Q₈	—	86	12	no	—
1321	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
1322	C₂×Q₈	C₂³×D₄₃	1	3	yes	—
1323	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
1324	C₂×D₄	—	2	12	no	—
1325	C₂×D₄	—	2	24	no	—
1326	C₂×D₄	—	2	12	no	—
1327	C₂×D₄	—	4	12	no	—
1328	C₂×D₄	—	43	6	no	—
1329	C₂×D₄	—	43	24	no	—
1330	C₂×D₄	—	43	6	no	—
1331	C₂×D₄	—	43	2	no	—
1332	C₂×D₄	—	43	6	no	—
1333	C₂×D₄	—	43	6	no	—
1334	C₂×D₄	—	43	12	no	—
1335	C₂×D₄	—	43	6	no	—
1336	C₂×D₄	—	43	6	no	—
1337	C₂×D₄	—	43	6	no	—
1338	C₂×D₄	—	43	6	no	—
1339	C₂×D₄	—	43	6	no	—
1340	C₂×D₄	—	43	6	no	—
1341	C₂×D₄	—	43	12	no	—
1342	C₂×D₄	—	43	3	no	—
1343	C₂×D₄	—	43	2	no	—
1344	C₂×D₄	—	43	2	no	—
1345	C₂×D₄	—	43	6	no	—
1346	C₂×D₄	—	43	1	no	—
1347	C₂×D₄	—	43	3	no	—
1348	C₂×D₄	—	43	6	no	—
1349	C₂×D₄	—	86	12	no	—
1350	C₂×D₄	—	86	12	no	—
1351	C₂×D₄	—	86	12	no	—
1352	C₂×D₄	—	86	24	no	—
1353	C₂×D₄	—	86	12	no	—
1354	C₂×D₄	—	86	24	no	—
1355	C₂×D₄	—	86	24	no	—
1356	C₂×D₄	—	86	24	no	—
1357	C₂×D₄	—	86	24	no	—
1358	C₂×D₄	—	86	48	no	—
1359	C₂×D₄	—	86	24	no	—
1360	C₂×D₄	—	86	12	no	—
1361	C₂×D₄	—	172	12	no	—
1362	C₂×D₄	—	172	12	no	—
1363	C₂×D₄	—	172	12	no	—
1364	C₂×D₄	C₂³×D₄₃	1	6	yes	—
1365	C₂×D₄	C₂³×D₄₃	1	6	yes	—
1366	C₂×D₄	C₂³×D₄₃	1	6	yes	—
1367	C₂×D₄	C₂³×D₄₃	1	3	yes	—
1368	C₂×D₄	C₂³×D₄₃	1	6	yes	—
1369	C₂×D₄	C₂³×D₄₃	1	3	yes	—
1370	C₂×D₄	C₂³×D₄₃	1	12	yes	—
1371	C₂×D₄	C₂³×D₄₃	1	6	yes	—
1372	C₂×D₄	C₂³×D₄₃	1	3	yes	—
1373	C₂²×C₄	—	2	12	no	—
1374	C₂²×C₄	—	43	3	no	—
1375	C₂²×C₄	—	43	24	no	—
1376	C₂²×C₄	—	43	3	no	—
1377	C₂²×C₄	—	43	3	no	—
1378	C₂²×C₄	—	43	1	no	—
1379	C₂²×C₄	—	43	3	no	—
1380	C₂²×C₄	—	43	3	no	—
1381	C₂²×C₄	—	43	6	no	—
1382	C₂²×C₄	—	43	1	no	—
1383	C₂²×C₄	—	43	3	no	—
1384	C₂²×C₄	—	43	6	no	—
1385	C₂²×C₄	—	43	3	no	—
1386	C₂²×C₄	—	43	3	no	—
1387	C₂²×C₄	—	43	12	no	—
1388	C₂²×C₄	—	43	6	no	—
1389	C₂²×C₄	—	43	3	no	—
1390	C₂²×C₄	—	43	3	no	—
1391	C₂²×C₄	—	43	6	no	—
1392	C₂²×C₄	—	43	1	no	—
1393	C₂²×C₄	—	43	2	no	—
1394	C₂²×C₄	—	43	3	no	—
1395	C₂²×C₄	—	43	3	no	—
1396	C₂²×C₄	—	43	3	no	—
1397	C₂²×C₄	—	43	3	no	—
1398	C₂²×C₄	—	43	3	no	—
1399	C₂²×C₄	—	43	6	no	—
1400	C₂²×C₄	—	43	1	no	—
1401	C₂²×C₄	—	43	3	no	—
1402	C₂²×C₄	—	43	1	no	—
1403	C₂²×C₄	—	43	3	no	—
1404	C₂²×C₄	—	43	6	no	—
1405	C₂²×C₄	—	43	6	no	—
1406	C₂²×C₄	—	86	4	no	—
1407	C₂²×C₄	—	86	12	no	—
1408	C₂²×C₄	—	86	12	no	—
1409	C₂²×C₄	—	86	12	no	—
1410	C₂²×C₄	—	86	12	no	—
1411	C₂²×C₄	—	86	12	no	—
1412	C₂²×C₄	—	86	12	no	—
1413	C₂²×C₄	—	86	12	no	—
1414	C₂²×C₄	—	86	12	no	—
1415	C₂²×C₄	—	86	24	no	—
1416	C₂²×C₄	—	86	12	no	—
1417	C₂²×C₄	—	86	12	no	—
1418	C₂²×C₄	—	86	24	no	—
1419	C₂²×C₄	—	86	12	no	—
1420	C₂²×C₄	C₂³×D₄₃	1	3	yes	—
1421	C₂²×C₄	C₂³×D₄₃	1	3	yes	—
1422	C₂²×C₄	C₂³×D₄₃	1	6	yes	—
1423	C₂²×C₄	C₂³×D₄₃	1	3	yes	—
1424	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1425	C₂²×C₄	C₂³×D₄₃	1	3	yes	—
1426	C₂²×C₄	C₂³×D₄₃	1	6	yes	—
1427	C₂²×C₄	C₂³×D₄₃	1	3	yes	—
1428	C₄⋊C₄	—	43	3	no	—
1429	C₄⋊C₄	—	43	1	no	—
1430	C₄⋊C₄	—	43	2	no	—
1431	C₄⋊C₄	—	43	6	no	—
1432	C₄⋊C₄	—	43	6	no	—
1433	C₄⋊C₄	—	43	6	no	—
1434	C₄⋊C₄	—	43	6	no	—
1435	C₄⋊C₄	—	43	6	no	—
1436	C₄⋊C₄	—	43	6	no	—
1437	C₄⋊C₄	—	43	12	no	—
1438	C₄⋊C₄	—	43	6	no	—
1439	C₄⋊C₄	—	43	12	no	—
1440	C₄⋊C₄	—	43	6	no	—
1441	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1442	C₄⋊C₄	C₂³×D₄₃	1	2	yes	—
1443	C₄⋊C₄	C₂³×D₄₃	1	3	yes	—
1444	C₄⋊C₄	C₂³×D₄₃	1	6	yes	—
1445	C₄⋊C₄	C₂³×D₄₃	1	6	yes	—
1446	C₂²⋊C₄	—	43	6	no	—
1447	C₂²⋊C₄	—	43	6	no	—
1448	C₂²⋊C₄	—	43	6	no	—
1449	C₂²⋊C₄	—	43	12	no	—
1450	C₂²⋊C₄	—	43	6	no	—
1451	C₂²⋊C₄	—	43	12	no	—
1452	C₂²⋊C₄	—	43	6	no	—
1453	C₂²⋊C₄	—	43	6	no	—
1454	C₂²⋊C₄	—	43	2	no	—
1455	C₂²⋊C₄	—	43	2	no	—
1456	C₂²⋊C₄	—	43	6	no	—
1457	C₂²⋊C₄	—	43	2	no	—
1458	C₂²⋊C₄	—	43	2	no	—
1459	C₂²⋊C₄	—	43	12	no	—
1460	C₂²⋊C₄	—	43	6	no	—
1461	C₂²⋊C₄	—	43	6	no	—
1462	C₂²⋊C₄	—	43	12	no	—
1463	C₂²⋊C₄	—	43	6	no	—
1464	C₂²⋊C₄	—	43	6	no	—
1465	C₂²⋊C₄	C₂³×D₄₃	1	2	yes	—
1466	C₂²⋊C₄	C₂³×D₄₃	1	6	yes	—
1467	C₂²⋊C₄	C₂³×D₄₃	1	6	yes	—
1468	C₂²⋊C₄	C₂³×D₄₃	1	6	yes	—
1469	C₂²⋊C₄	C₂³×D₄₃	1	6	yes	—
1470	C₂²⋊C₄	C₂³×D₄₃	1	12	yes	—
1471	C₄²	—	43	6	no	—
1472	C₄²	—	43	2	no	—
1473	C₄²	—	43	12	no	—
1474	C₄²	—	43	6	no	—
1475	C₄²	C₂³×D₄₃	1	6	yes	—
1476	C₂³	—	2	6	no	—
1477	C₂³	—	2	6	no	—
1478	C₂³	—	2	12	no	—
1479	C₂³	—	4	3	no	—
1480	C₂³	—	4	6	no	—
1481	C₂³	—	4	6	no	—
1482	C₂³	—	43	1	no	—
1483	C₂³	—	43	1	no	—
1484	C₂³	—	43	3	no	—
1485	C₂³	—	43	12	no	—
1486	C₂³	—	43	2	no	—
1487	C₂³	—	43	3	no	—
1488	C₂³	—	86	2	no	—
1489	C₂³	—	86	2	no	—
1490	C₂³	—	86	12	no	—
1491	C₂³	—	86	6	no	—
1492	C₂³	—	86	6	no	—
1493	C₂³	—	86	6	no	—
1494	C₂³	—	86	6	no	—
1495	C₂³	—	86	6	no	—
1496	C₂³	—	86	2	no	—
1497	C₂³	—	86	6	no	—
1498	C₂³	—	86	6	no	—
1499	C₂³	—	172	6	no	—
1500	C₂³	—	172	6	no	—
1501	C₂³	—	172	3	no	—
1502	C₂³	—	172	3	no	—
1503	C₂³	—	172	3	no	—
1504	C₂³	—	172	3	no	—
1505	C₂³	—	172	3	no	—
1506	C₂³	—	172	3	no	—
1507	C₂³	—	172	3	no	—
1508	C₂³	—	172	48	no	—
1509	C₂³	C₂⁴×D₄₃	1	3	yes	—
1510	C₂³	C₂⁴×D₄₃	1	6	yes	—
1511	C₂³	C₂⁴×D₄₃	1	3	yes	—
1512	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1513	Q₈	—	2	6	no	—
1514	Q₈	—	2	2	no	—
1515	Q₈	—	43	12	no	—
1516	Q₈	—	86	12	no	—
1517	Q₈	—	86	12	no	—
1518	Q₈	—	86	6	no	—
1519	Q₈	—	86	6	no	—
1520	Q₈	—	86	12	no	—
1521	Q₈	C₂×D₄×D₄₃	1	4	yes	—
1522	D₄	—	2	12	no	—
1523	D₄	—	2	12	no	—
1524	D₄	—	2	12	no	—
1525	D₄	—	2	6	no	—
1526	D₄	—	2	12	no	—
1527	D₄	—	2	6	no	—
1528	D₄	—	4	12	no	—
1529	D₄	—	4	6	no	—
1530	D₄	—	43	24	no	—
1531	D₄	—	43	12	no	—
1532	D₄	—	86	4	no	—
1533	D₄	—	86	12	no	—
1534	D₄	—	86	4	no	—
1535	D₄	—	86	12	no	—
1536	D₄	—	86	12	no	—
1537	D₄	—	86	12	no	—
1538	D₄	—	86	12	no	—
1539	D₄	—	86	24	no	—
1540	D₄	—	86	12	no	—
1541	D₄	—	86	12	no	—
1542	D₄	—	86	12	no	—
1543	D₄	—	86	4	no	—
1544	D₄	—	86	2	no	—
1545	D₄	—	86	6	no	—
1546	D₄	—	172	6	no	—
1547	D₄	—	172	6	no	—
1548	D₄	—	172	12	no	—
1549	D₄	—	172	6	no	—
1550	D₄	C₂×D₄×D₄₃	1	12	yes	—
1551	C₂×C₄	—	2	6	no	—
1552	C₂×C₄	—	2	2	no	—
1553	C₂×C₄	—	2	6	no	—
1554	C₂×C₄	—	2	6	no	—
1555	C₂×C₄	—	2	6	no	—
1556	C₂×C₄	—	2	12	no	—
1557	C₂×C₄	—	4	6	no	—
1558	C₂×C₄	—	43	12	no	—
1559	C₂×C₄	—	43	1	no	—
1560	C₂×C₄	—	43	3	no	—
1561	C₂×C₄	—	43	4	no	—
1562	C₂×C₄	—	43	12	no	—
1563	C₂×C₄	—	43	12	no	—
1564	C₂×C₄	—	43	12	no	—
1565	C₂×C₄	—	43	6	no	—
1566	C₂×C₄	—	43	2	no	—
1567	C₂×C₄	—	43	1	no	—
1568	C₂×C₄	—	43	6	no	—
1569	C₂×C₄	—	43	3	no	—
1570	C₂×C₄	—	86	2	no	—
1571	C₂×C₄	—	86	6	no	—
1572	C₂×C₄	—	86	6	no	—
1573	C₂×C₄	—	86	4	no	—
1574	C₂×C₄	—	86	6	no	—
1575	C₂×C₄	—	86	2	no	—
1576	C₂×C₄	—	86	6	no	—
1577	C₂×C₄	—	86	6	no	—
1578	C₂×C₄	—	86	6	no	—
1579	C₂×C₄	—	86	12	no	—
1580	C₂×C₄	—	86	2	no	—
1581	C₂×C₄	—	86	6	no	—
1582	C₂×C₄	—	86	6	no	—
1583	C₂×C₄	—	86	12	no	—
1584	C₂×C₄	—	86	6	no	—
1585	C₂×C₄	—	86	24	no	—
1586	C₂×C₄	—	86	6	no	—
1587	C₂×C₄	—	86	12	no	—
1588	C₂×C₄	—	86	2	no	—
1589	C₂×C₄	—	86	6	no	—
1590	C₂×C₄	—	86	6	no	—
1591	C₂×C₄	—	86	6	no	—
1592	C₂×C₄	—	86	12	no	—
1593	C₂×C₄	—	172	6	no	—
1594	C₂×C₄	—	172	6	no	—
1595	C₂×C₄	—	172	6	no	—
1596	C₂×C₄	C₂×D₄×D₄₃	1	12	yes	—
1597	C₂×C₄	C₂⁴×D₄₃	1	6	yes	—
1598	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1599	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1600	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1601	C₂×C₄	C₂⁴×D₄₃	1	3	yes	—
1602	C₂×C₄	C₂⁴×D₄₃	1	3	yes	—
1603	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1604	C₂²	—	2	1	no	—
1605	C₂²	—	2	3	no	—
1606	C₂²	—	2	1	no	—
1607	C₂²	—	2	3	no	—
1608	C₂²	—	2	3	no	—
1609	C₂²	—	2	6	no	—
1610	C₂²	—	2	3	no	—
1611	C₂²	—	2	6	no	—
1612	C₂²	—	2	6	no	—
1613	C₂²	—	2	3	no	—
1614	C₂²	—	4	12	no	—
1615	C₂²	—	8	12	no	—
1616	C₂²	—	43	2	no	—
1617	C₂²	—	43	6	no	—
1618	C₂²	—	43	2	no	—
1619	C₂²	—	86	8	no	—
1620	C₂²	—	86	1	no	—
1621	C₂²	—	86	3	no	—
1622	C₂²	—	86	1	no	—
1623	C₂²	—	86	3	no	—
1624	C₂²	—	86	1	no	—
1625	C₂²	—	86	1	no	—
1626	C₂²	—	86	2	no	—
1627	C₂²	—	86	3	no	—
1628	C₂²	—	86	2	no	—
1629	C₂²	—	86	3	no	—
1630	C₂²	—	86	2	no	—
1631	C₂²	—	86	3	no	—
1632	C₂²	—	344	12	no	—
1633	C₂²	—	172	12	no	—
1634	C₂²	—	172	12	no	—
1635	C₂²	—	172	12	no	—
1636	C₂²	—	172	12	no	—
1637	C₂²	—	172	12	no	—
1638	C₂²	C₂²×D₄×D₄₃	1	6	yes	—
1639	C₂²	#14583734	1	2	yes	complemented
1640	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1641	C₄	—	2	1	no	—
1642	C₄	—	2	2	no	—
1643	C₄	—	2	3	no	—
1644	C₄	—	2	2	no	—
1645	C₄	—	2	6	no	—
1646	C₄	—	43	2	no	—
1647	C₄	—	43	6	no	—
1648	C₄	—	86	1	no	—
1649	C₄	—	86	3	no	—
1650	C₄	—	86	6	no	—
1651	C₄	—	86	6	no	—
1652	C₄	—	86	2	no	—
1653	C₄	C₂²×D₄×D₄₃	1	2	yes	—
1654	C₄	C₂²×D₄×D₄₃	1	6	yes	—
1655	C₂	—	2	2	no	—
1656	C₂	—	2	6	no	—
1657	C₂	—	4	3	no	—
1658	C₂	—	4	6	no	—
1659	C₂	—	86	2	no	—
1660	C₂	—	86	2	no	—
1661	C₂	—	86	6	no	—
1662	C₂	—	172	2	no	—
1663	C₂	—	172	3	no	—
1664	C₂	C₂³×D₄×D₄₃	1	1	yes	characteristic
1665	C₂	#585×D₄₃	1	1	yes	characteristic
1666	C₂	C₂×#14583734	1	1	yes	characteristic

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₄₃
commutator, socle, cosocle	C₂²×C₄₃	C₂⁶
Fitting	C₄₃×#3488	C₂
hypercenter	#3488	D₄₃
hypocenter	C₄₃	#62811
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ #3488

Complements

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

N	H ≅ G/N	type
1. C₂×#14583734	C₂	semidirect
2. C₂²×#41×D₄₃	C₂	semidirect
3. #19148276	C₂	semidirect
4. #19148275	C₂	semidirect
5. #19148270	C₂	semidirect
6. #19148267	C₂	semidirect
7. #19148262	C₂	semidirect
8. #19148260	C₂	semidirect
9. #19148257	C₂	semidirect
10. #19148248	C₂	semidirect
11. #19148241	C₂	semidirect
12. #19148232	C₂	semidirect
13. #19148223	C₂	semidirect
14. #19148085	C₂	semidirect
15. #19148084	C₂	semidirect
16. #19148079	C₂	semidirect
17. D₄×#10621900	C₂	semidirect
18. #19147926	C₂	semidirect
19. #19147923	C₂	semidirect
20. C₂×#14583409	C₂	semidirect
21. #525×D₄₃	C₂	semidirect
22. #19147795	C₂	semidirect
23. C₄₃×#3488	C₂	semidirect
25. C₂×#13063372	C₂²	semidirect
26. C₂×#13063372	C₂²	semidirect
27. C₂×#13063372	C₂²	semidirect
28. C₂×#13063370	C₂²	semidirect
29. C₂×#13063370	C₂²	semidirect
30. C₂²×#10621902	C₂²	semidirect
31. C₂²×#10621898	C₂²	semidirect
32. C₂²×#10621900	C₂²	semidirect
33. C₂²×#10621900	C₂²	semidirect
34. C₂²×#10621900	C₂²	semidirect
37. C₂×#41×D₄₃	C₂²	semidirect
38. C₂×#41×D₄₃	C₂²	semidirect
39. C₂×#41×D₄₃	C₂²	semidirect
40. C₂×#41×D₄₃	C₂²	semidirect
41. C₂×#41×D₄₃	C₂²	semidirect
42. C₂×#41×D₄₃	C₂²	semidirect
43. C₂×#41×D₄₃	C₂²	semidirect
44. C₂×#41×D₄₃	C₂²	semidirect
45. C₂×#41×D₄₃	C₂²	semidirect
46. C₂²×Q₈×D₄₃	C₂²	semidirect
47. C₂²×D₄×D₄₃	C₂²	semidirect
48. C₂³×C₄×D₄₃	C₂²	semidirect
49. #14583569	C₂²	semidirect
50. #14583568	C₂²	semidirect
51. #14583567	C₂²	semidirect
52. Q₈×D₁₇₂	C₂²	semidirect
53. D₄×Dic₈₆	C₂²	semidirect
54. Q₈×C₂²⋊D₄₃	C₂²	semidirect
55. #14583562	C₂²	semidirect
56. #14583561	C₂²	semidirect
57. #14583558	C₂²	semidirect
58. #14583557	C₂²	semidirect
59. #14583556	C₂²	semidirect
60. #14583556	C₂²	semidirect
61. #14583555	C₂²	semidirect
62. #14583555	C₂²	semidirect
63. #14583554	C₂²	semidirect
64. #14583553	C₂²	semidirect
65. #14583551	C₂²	semidirect
66. #14583549	C₂²	semidirect
67. #14583548	C₂²	semidirect
68. #14583547	C₂²	semidirect
69. #14583546	C₂²	semidirect
70. #14583546	C₂²	semidirect
71. #14583545	C₂²	semidirect
72. #14583544	C₂²	semidirect
73. #14583543	C₂²	semidirect
74. #14583543	C₂²	semidirect
75. #14583542	C₂²	semidirect
76. #14583539	C₂²	semidirect
77. #14583538	C₂²	semidirect
78. #14583536	C₂²	semidirect
79. #14583536	C₂²	semidirect
80. #14583534	C₂²	semidirect
81. #14583533	C₂²	semidirect
82. D₄×C₂²⋊D₄₃	C₂²	semidirect
83. D₄×C₂²⋊D₄₃	C₂²	semidirect
84. #14583531	C₂²	semidirect
85. #14583480	C₂²	semidirect
86. #14583478	C₂²	semidirect
87. #14583478	C₂²	semidirect
88. #14583477	C₂²	semidirect
89. #14583477	C₂²	semidirect
90. #14583475	C₂²	semidirect
91. #14583472	C₂²	semidirect
92. #14583472	C₂²	semidirect
93. #14583470	C₂²	semidirect
94. #14583469	C₂²	semidirect
95. #14583466	C₂²	semidirect
96. #14583465	C₂²	semidirect
97. #14583465	C₂²	semidirect
98. #14583462	C₂²	semidirect
99. #14583459	C₂²	semidirect
100. #14583457	C₂²	semidirect
101. #14583448	C₂²	semidirect
102. #14583447	C₂²	semidirect
103. #14583444	C₂²	semidirect
104. #14583412	C₂²	semidirect
105. #14583412	C₂²	semidirect
106. #14583412	C₂²	semidirect
107. #14583411	C₂²	semidirect
108. #14583410	C₂²	semidirect
109. #14583409	C₂²	semidirect
110. #14583409	C₂²	semidirect
111. #14583409	C₂²	semidirect
112. #14583409	C₂²	semidirect
113. #14583409	C₂²	semidirect
114. #14583409	C₂²	semidirect
115. #14583409	C₂²	semidirect
116. #14583409	C₂²	semidirect
117. #14583409	C₂²	semidirect
118. #14583409	C₂²	semidirect
119. #14583408	C₂²	semidirect
120. #14583408	C₂²	semidirect
121. #14583407	C₂²	semidirect
122. #14583406	C₂²	semidirect
123. #14583405	C₂²	semidirect
124. #14583405	C₂²	semidirect
125. C₂×#13063307	C₂²	semidirect
126. #123×D₄₃	C₂²	semidirect
127. C₂×#13063305	C₂²	semidirect
128. C₂×#13063304	C₂²	semidirect
129. C₂²⋊Q₈×D₄₃	C₂²	semidirect
130. C₂²⋊Q₈×D₄₃	C₂²	semidirect
131. C₂×#13063296	C₂²	semidirect
132. #121×D₄₃	C₂²	semidirect
133. #121×D₄₃	C₂²	semidirect
134. C₂×#13063293	C₂²	semidirect
135. #120×D₄₃	C₂²	semidirect
136. #14583382	C₂²	semidirect
137. #14583380	C₂²	semidirect
138. #14583379	C₂²	semidirect
139. #14583375	C₂²	semidirect
140. #14583371	C₂²	semidirect
141. C₄×#10621902	C₂²	semidirect
142. C₄×#10621900	C₂²	semidirect
143. C₂×D₄×Dic₄₃	C₂²	semidirect
144. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
145. C₄×D₄×D₄₃	C₂²	semidirect
146. C₄×D₄×D₄₃	C₂²	semidirect
147. C₂×#13063283	C₂²	semidirect
148. #117×D₄₃	C₂²	semidirect
149. C₂×H(5,𝔽₂)×C₄₃	C₂²	semidirect
150. C₂²×#41×C₄₃	C₂²	semidirect
151. C₄₃×#550	C₂²	semidirect
152. C₄₃×#548	C₂²	semidirect
153. C₄₃×#546	C₂²	semidirect
154. D₄²×C₄₃	C₂²	semidirect
155. C₄₃×#537	C₂²	semidirect
156. C₄₃×#535	C₂²	semidirect
157. C₄₃×#525	C₂²	semidirect
158. C₂×#121×C₄₃	C₂²	semidirect
159. C₄₃×#520	C₂²	semidirect
180. C₂×#10621898	C₂³	semidirect
181. C₂×#10621898	C₂³	semidirect
193. C₂×#10621900	C₂³	semidirect
194. C₂×#10621900	C₂³	semidirect
195. C₂×#10621900	C₂³	semidirect
196. C₂×#10621900	C₂³	semidirect
197. C₂×#10621900	C₂³	semidirect
198. C₂×#10621900	C₂³	semidirect
208. #41×D₄₃	D₄	semidirect
210. C₂²×Dic₈₆	C₂³	semidirect
211. C₂²×Dic₈₆	C₂³	semidirect
217. C₂×Q₈×D₄₃	C₂³	semidirect
218. C₂×Q₈×D₄₃	C₂³	semidirect
223. C₂²×C₂²⋊D₄₃	C₂³	semidirect
234. C₂×D₄×D₄₃	C₂³	semidirect
235. C₂×D₄×D₄₃	C₂³	semidirect
237. C₂³×Dic₄₃	C₂³	semidirect
251. C₂²×C₄×D₄₃	C₂³	semidirect
252. #13063325	C₂³	semidirect
253. #13063324	C₂³	semidirect
254. #13063323	C₂³	semidirect
255. #13063321	C₂³	semidirect
256. #13063321	C₂³	semidirect
257. #13063313	C₂³	semidirect
258. #13063312	C₂³	semidirect
259. #13063312	C₂³	semidirect
260. #13063311	C₂³	semidirect
261. #13063311	C₂³	semidirect
264. #13063310	C₂³	semidirect
265. #13063309	C₂³	semidirect
266. #13063309	C₂³	semidirect
267. #13063308	C₂³	semidirect
271. #13063307	C₂³	semidirect
272. #13063307	C₂³	semidirect
273. #13063307	C₂³	semidirect
274. #13063306	C₂³	semidirect
275. #13063306	C₂³	semidirect
278. #13063305	C₂³	semidirect
279. #13063305	C₂³	semidirect
280. #13063305	C₂³	semidirect
281. #13063305	C₂³	semidirect
284. #13063304	C₂³	semidirect
285. #13063304	C₂³	semidirect
286. #13063304	C₂³	semidirect
287. #13063304	C₂³	semidirect
289. #13063303	C₂³	semidirect
291. #13063302	C₂³	semidirect
292. #13063302	C₂³	semidirect
293. #13063302	C₂³	semidirect
295. #13063301	C₂³	semidirect
296. #13063301	C₂³	semidirect
298. #13063300	C₂³	semidirect
299. #13063300	C₂³	semidirect
301. #13063299	C₂³	semidirect
302. #13063299	C₂³	semidirect
303. #13063299	C₂³	semidirect
305. #13063298	C₂³	semidirect
306. #13063298	C₂³	semidirect
307. #13063298	C₂³	semidirect
309. #13063297	C₂³	semidirect
310. #13063297	C₂³	semidirect
311. #13063297	C₂³	semidirect
312. #13063297	C₂³	semidirect
313. #13063297	C₂³	semidirect
316. #13063296	C₂³	semidirect
317. #13063296	C₂³	semidirect
318. #13063296	C₂³	semidirect
319. #13063296	C₂³	semidirect
320. #13063296	C₂³	semidirect
321. #13063296	C₂³	semidirect
325. #13063295	C₂³	semidirect
327. #13063294	C₂³	semidirect
334. #13063293	C₂³	semidirect
335. Q₈×Dic₄₃	C₂³	semidirect
336. C₄×Dic₈₆	C₂³	semidirect
337. #13063290	C₂³	semidirect
339. C₄×D₁₇₂	C₂³	semidirect
340. C₄×D₁₇₂	C₂³	semidirect
343. D₄×Dic₄₃	C₂³	semidirect
344. D₄×Dic₄₃	C₂³	semidirect
345. D₄×Dic₄₃	C₂³	semidirect
346. D₄×Dic₄₃	C₂³	semidirect
348. #13063287	C₂³	semidirect
349. #13063287	C₂³	semidirect
352. C₄×C₂²⋊D₄₃	C₂³	semidirect
353. C₄×C₂²⋊D₄₃	C₂³	semidirect
354. C₄×C₂²⋊D₄₃	C₂³	semidirect
358. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
359. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
360. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
361. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
362. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
363. #13063284	C₂³	semidirect
367. #13063283	C₂³	semidirect
368. #13063283	C₂³	semidirect
370. #13063281	C₂³	semidirect
371. C₂×C₄⋊Dic₄₃	C₂³	semidirect
372. C₂×C₄⋊Dic₄₃	C₂³	semidirect
373. C₂×Dic₄₃⋊C₄	C₂³	semidirect
374. C₄⋊C₄×D₄₃	C₂³	semidirect
375. C₄⋊C₄×D₄₃	C₂³	semidirect
376. C₄⋊C₄×D₄₃	C₂³	semidirect
377. C₄⋊C₄×D₄₃	C₂³	semidirect
379. C₂×C₂²⋊Dic₄₃	C₂³	semidirect
385. C₂²⋊C₄×D₄₃	C₂³	semidirect
386. C₂²⋊C₄×D₄₃	C₂³	semidirect
387. C₂×C₄×Dic₄₃	C₂³	semidirect
388. C₄²×D₄₃	C₂³	semidirect
395. C₂×#41×C₄₃	C₂³	semidirect
396. C₂×#41×C₄₃	C₂³	semidirect
400. C₂²×D₄×C₄₃	C₂³	semidirect
401. C₂²×D₄×C₄₃	C₂³	semidirect
403. #127×C₄₃	C₂³	semidirect
404. #124×C₄₃	C₂³	semidirect
405. #123×C₄₃	C₂³	semidirect
407. C₂²⋊Q₈×C₄₃	C₂³	semidirect
408. C₂²⋊Q₈×C₄₃	C₂³	semidirect
411. #121×C₄₃	C₂³	semidirect
412. #121×C₄₃	C₂³	semidirect
413. #121×C₄₃	C₂³	semidirect
414. #121×C₄₃	C₂³	semidirect
415. #121×C₄₃	C₂³	semidirect
417. #120×C₄₃	C₂³	semidirect
418. C₄×Q₈×C₄₃	C₂³	semidirect
420. C₄×D₄×C₄₃	C₂³	semidirect
421. C₄×D₄×C₄₃	C₂³	semidirect
422. #117×C₄₃	C₂³	semidirect
423. C₂×C₄⋊C₄×C₄₃	C₂³	semidirect
424. C₂×C₂²⋊C₄×C₄₃	C₂³	semidirect
442. #41×C₄₃	C₂×D₄	semidirect
502. #10621902	C₂×D₄	semidirect
508. Q₈×D₄₃	C₂×D₄	semidirect
522. #10621900	C₂×D₄	semidirect
533. D₄×D₄₃	C₂×D₄	semidirect
542. #10621898	C₂×D₄	semidirect
563. C₂×C₄×D₄₃	C₂×D₄	semidirect
784. C₂²×C₄₃	#585	semidirect
807. C₂×D₄₃	#585	semidirect
831. #3488	D₄₃	semidirect
863. C₂×H(5,𝔽₂)	C₂×D₄₃	semidirect
880. C₂²×#41	C₂×D₄₃	semidirect
887. #550	C₂×D₄₃	semidirect
899. #548	C₂×D₄₃	semidirect
917. #546	C₂×D₄₃	semidirect
923. D₄²	C₂×D₄₃	semidirect
929. #537	C₂×D₄₃	semidirect
939. #535	C₂×D₄₃	semidirect
966. #525	C₂×D₄₃	semidirect
976. C₂×#121	C₂×D₄₃	semidirect
982. #520	C₂×D₄₃	semidirect
993. C₄₃	#62811	semidirect
1049. C₂×#41	C₂²×D₄₃	semidirect
1050. C₂×#41	C₂²×D₄₃	semidirect
1081. C₂²×D₄	C₂²×D₄₃	semidirect
1082. C₂²×D₄	C₂²×D₄₃	semidirect
1105. #127	C₂²×D₄₃	semidirect
1111. #124	C₂²×D₄₃	semidirect
1126. #123	C₂²×D₄₃	semidirect
1149. C₂²⋊Q₈	C₂²×D₄₃	semidirect
1150. C₂²⋊Q₈	C₂²×D₄₃	semidirect
1178. #121	C₂²×D₄₃	semidirect
1179. #121	C₂²×D₄₃	semidirect
1180. #121	C₂²×D₄₃	semidirect
1181. #121	C₂²×D₄₃	semidirect
1182. #121	C₂²×D₄₃	semidirect
1197. #120	C₂²×D₄₃	semidirect
1201. C₄×Q₈	C₂²×D₄₃	semidirect
1228. C₄×D₄	C₂²×D₄₃	semidirect
1229. C₄×D₄	C₂²×D₄₃	semidirect
1238. #117	C₂²×D₄₃	semidirect
1246. C₂×C₄⋊C₄	C₂²×D₄₃	semidirect
1256. C₂×C₂²⋊C₄	C₂²×D₄₃	semidirect
1304. #41	D₄×D₄₃	semidirect
1639. C₂²	#14583734	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14583734	2
C₂²×#41×D₄₃	2
#19148276	2
#19148275	2
#19148270	2
#19148267	2
#19148262	2
#19148260	2
#19148257	2
#19148248	2
#19148241	2
#19148232	2
#19148223	2
#19148085	2
#19148084	2
#19148079	2
D₄×#10621900	2
#19147926	2
#19147923	2
C₂×#14583409	2
#525×D₄₃	2
#19147795	2
C₄₃×#3488	2
#62811	43