Subgroups — #26005134

Order 11008.

11534 conjugacy classes of subgroups.

The subgroup lattice has 1356 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	#19148269	C₂	1	8	yes	maximal, complemented
4	#19148258	C₂	1	8	yes	maximal, complemented
5	#19148249	C₂	1	2	yes	maximal, complemented
6	#19148244	C₂	1	2	yes	maximal, complemented
7	#19148239	C₂	1	1	yes	maximal, characteristic, complemented
8	#19148233	C₂	1	4	yes	maximal, complemented
9	#19148231	C₂	1	1	yes	maximal, characteristic, complemented
10	#19148227	C₂	1	4	yes	maximal, complemented
11	#19148226	C₂	1	1	yes	maximal, characteristic, complemented
12	#19148082	C₂	1	8	yes	maximal, complemented
13	#19148079	C₂	1	8	yes	maximal, complemented
14	#19147927	C₂	1	2	yes	maximal, complemented
15	#19147921	C₂	1	4	yes	maximal, complemented
16	C₂×#14583407	C₂	1	4	yes	maximal, complemented
17	#525×D₄₃	C₂	1	2	yes	maximal, complemented
18	#19147793	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄₃×#3485	C₂	1	1	yes	maximal, characteristic, complemented
20	#14583734	—	2	16	no	—
21	C₂×#13063372	C₂²	1	2	yes	complemented
22	C₂×#13063372	C₂²	1	4	yes	complemented
23	C₂×#13063370	C₂²	1	4	yes	complemented
24	C₂×#13063370	C₂²	1	1	yes	characteristic, complemented
25	C₂×#13063370	C₂²	1	4	yes	complemented
26	C₂²×#10621902	C₂²	1	1	yes	characteristic, complemented
27	C₂²×#10621898	C₂²	1	2	yes	complemented
28	C₂²×#10621898	C₂²	1	1	yes	characteristic, complemented
29	C₂²×#10621900	C₂²	1	1	yes	characteristic
30	C₂²×#10621900	C₂²	1	2	yes	complemented
31	C₂²×#10621900	C₂²	1	4	yes	complemented
32	C₂²×#10621900	C₂²	1	4	yes	complemented
33	C₂×#41×D₄₃	—	2	16	no	—
34	C₂×#41×D₄₃	C₂²	1	8	yes	complemented
35	C₂×#41×D₄₃	C₂²	1	8	yes	complemented
36	C₂×#41×D₄₃	C₂²	1	2	yes	complemented
37	C₂×#41×D₄₃	C₂²	1	4	yes	complemented
38	C₂²×Q₈×D₄₃	C₂²	1	1	yes	characteristic, complemented
39	C₂²×D₄×D₄₃	C₂²	1	1	yes	characteristic, complemented
40	C₂²×D₄×D₄₃	C₂²	1	2	yes	complemented
41	C₂³×C₄×D₄₃	C₂²	1	1	yes	characteristic, complemented
42	C₂³×C₄×D₄₃	C₂²	1	2	yes	complemented
43	#14583570	C₂²	1	8	yes	complemented
44	#14583567	C₂²	1	8	yes	complemented
45	#14583564	C₂²	1	8	yes	complemented
46	#14583562	C₂²	1	8	yes	complemented
47	#14583559	C₂²	1	8	yes	complemented
48	#14583559	C₂²	1	8	yes	complemented
49	#14583558	C₂²	1	8	yes	complemented
50	#14583557	C₂²	1	8	yes	complemented
51	#14583550	C₂²	1	16	yes	complemented
52	#14583548	C₂²	1	8	yes	complemented
53	#14583547	C₂²	1	16	yes	complemented
54	#14583544	C₂²	1	8	yes	complemented
55	#14583541	C₂²	1	16	yes	complemented
56	#14583541	C₂²	1	16	yes	complemented
57	#14583539	C₂²	1	16	yes	complemented
58	#14583538	C₂²	1	16	yes	complemented
59	#14583537	C₂²	1	8	yes	complemented
60	#14583537	C₂²	1	8	yes	complemented
61	D₄×D₁₇₂	C₂²	1	8	yes	complemented
62	#14583533	C₂²	1	16	yes	complemented
63	D₄×C₂²⋊D₄₃	C₂²	1	8	yes	complemented
64	#14583531	C₂²	1	16	yes	complemented
65	#14583479	C₂²	1	8	yes	complemented
66	#14583476	C₂²	1	16	yes	complemented
67	#14583474	C₂²	1	4	yes	complemented
68	#14583473	C₂²	1	2	yes	complemented
69	#14583471	C₂²	1	8	yes	complemented
70	#14583471	C₂²	1	8	yes	complemented
71	#14583468	C₂²	1	2	yes	complemented
72	#14583467	C₂²	1	4	yes	complemented
73	#14583464	C₂²	1	8	yes	complemented
74	#14583464	C₂²	1	8	yes	complemented
75	#14583463	C₂²	1	2	yes	complemented
76	#14583461	C₂²	1	4	yes	complemented
77	#14583460	C₂²	1	8	yes	complemented
78	#14583458	C₂²	1	4	yes	complemented
79	#14583458	C₂²	1	4	yes	complemented
80	#14583450	C₂²	1	4	yes	complemented
81	#14583448	C₂²	1	4	yes	complemented
82	#14583444	C₂²	1	16	yes	complemented
83	#14583412	C₂²	1	4	yes	complemented
84	#14583412	C₂²	1	8	yes	complemented
85	#14583411	C₂²	1	2	yes	complemented
86	#14583410	C₂²	1	2	yes	complemented
87	#14583409	C₂²	1	4	yes	complemented
88	#14583408	C₂²	1	8	yes	complemented
89	#14583407	C₂²	1	4	yes	complemented
90	#14583407	C₂²	1	8	yes	complemented
91	#14583407	C₂²	1	8	yes	complemented
92	#14583407	C₂²	1	8	yes	complemented
93	#14583407	C₂²	1	16	yes	complemented
94	#14583407	C₂²	1	16	yes	complemented
95	#14583407	C₂²	1	8	yes	complemented
96	#14583406	C₂²	1	2	yes	complemented
97	#14583405	C₂²	1	4	yes	complemented
98	#14583405	C₂²	1	8	yes	complemented
99	C₂×#13063308	C₂²	1	4	yes	complemented
100	#123×D₄₃	C₂²	1	4	yes	complemented
101	C₂×#13063303	C₂²	1	8	yes	complemented
102	C₂²⋊Q₈×D₄₃	C₂²	1	4	yes	complemented
103	C₂×#13063298	C₂²	1	8	yes	complemented
104	#121×D₄₃	C₂²	1	4	yes	complemented
105	C₂×#13063295	C₂²	1	4	yes	complemented
106	C₂×#13063293	C₂²	1	4	yes	complemented
107	#120×D₄₃	C₂²	1	4	yes	complemented
108	#14583378	C₂²	1	8	yes	complemented
109	#14583376	C₂²	1	2	yes	complemented
110	#14583374	C₂²	1	1	yes	characteristic, complemented
111	#14583372	C₂²	1	4	yes	complemented
112	C₄×#10621900	C₂²	1	8	yes	complemented
113	C₂×#13063287	C₂²	1	8	yes	complemented
114	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	8	yes	complemented
115	C₄×D₄×D₄₃	C₂²	1	8	yes	complemented
116	C₂×#13063281	C₂²	1	4	yes	complemented
117	#117×D₄₃	C₂²	1	2	yes	complemented
118	C₂×H(5,𝔽₂)×C₄₃	C₂²	1	1	yes	characteristic, complemented
119	C₂²×#41×C₄₃	C₂²	1	1	yes	characteristic, complemented
120	C₄₃×#547	C₂²	1	8	yes	complemented
121	C₄₃×#546	C₂²	1	8	yes	complemented
122	C₄₃×#536	C₂²	1	2	yes	complemented
123	C₄₃×#534	C₂²	1	4	yes	complemented
124	C₄₃×#525	C₂²	1	2	yes	complemented
125	C₂×#123×C₄₃	C₂²	1	4	yes	complemented
126	C₄₃×#518	C₂²	1	1	yes	characteristic, complemented
127	C₂⁴×D₄₃	C₂³	1	1	yes	characteristic
128	C₂⁴×D₄₃	C₂³	1	2	yes	—
129	#13063372	—	2	32	no	—
130	#13063372	—	2	16	no	—
131	#13063370	—	2	8	no	—
132	#13063370	—	2	32	no	—
133	#13063370	—	2	32	no	—
134	C₂×#10621902	—	2	8	no	—
135	C₂×#10621902	C₂³	1	4	yes	—
136	C₂×#10621902	C₂³	1	4	yes	—
137	C₂×#10621902	C₂³	1	2	yes	complemented
138	C₂×#10621898	—	2	16	no	—
139	C₂×#10621898	—	2	8	no	—
140	C₂×#10621898	C₂³	1	8	yes	—
141	C₂×#10621898	C₂³	1	2	yes	—
142	C₂×#10621898	C₂³	1	16	yes	—
143	C₂×#10621898	C₂³	1	4	yes	complemented
144	C₂×#10621898	C₂³	1	4	yes	complemented
145	C₂×#10621898	C₂³	1	8	yes	complemented
146	C₂×#10621900	—	2	16	no	—
147	C₂×#10621900	—	2	32	no	—
148	C₂×#10621900	—	2	32	no	—
149	C₂×#10621900	D₄	1	16	yes	complemented
150	C₂×#10621900	C₂³	1	4	yes	—
151	C₂×#10621900	C₂³	1	8	yes	—
152	C₂×#10621900	C₂³	1	8	yes	—
153	C₂×#10621900	C₂³	1	8	yes	—
154	C₂×#10621900	C₂³	1	4	yes	—
155	C₂×#10621900	C₂³	1	4	yes	—
156	C₂×#10621900	C₂³	1	4	yes	complemented
157	C₂×#10621900	C₂³	1	8	yes	complemented
158	C₂×#10621900	C₂³	1	8	yes	complemented
159	C₂×#10621900	C₂³	1	2	yes	complemented
160	C₂×#10621900	C₂³	1	8	yes	complemented
161	C₂×#10621900	C₂³	1	4	yes	complemented
162	#41×D₄₃	—	2	64	no	—
163	#41×D₄₃	—	2	64	no	—
164	#41×D₄₃	—	2	32	no	—
165	#41×D₄₃	—	2	16	no	—
166	C₂²×Dic₈₆	C₂³	1	2	yes	—
167	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
168	C₂²×Dic₈₆	C₂³	1	4	yes	complemented
169	C₂²×Dic₈₆	C₂³	1	4	yes	complemented
170	C₂×Q₈×D₄₃	—	2	8	no	—
171	C₂×Q₈×D₄₃	C₂³	1	8	yes	—
172	C₂×Q₈×D₄₃	C₂³	1	4	yes	complemented
173	C₂×Q₈×D₄₃	C₂³	1	2	yes	complemented
174	C₂²×D₁₇₂	C₂³	1	2	yes	—
175	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
176	C₂²×D₁₇₂	C₂³	1	8	yes	—
177	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
178	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
179	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
180	C₂²×C₂²⋊D₄₃	C₂³	1	8	yes	—
181	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
182	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	complemented
183	C₂²×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
184	C₂×D₄×D₄₃	—	2	8	no	—
185	C₂×D₄×D₄₃	—	2	16	no	—
186	C₂×D₄×D₄₃	C₂³	1	4	yes	—
187	C₂×D₄×D₄₃	C₂³	1	16	yes	—
188	C₂×D₄×D₄₃	C₂³	1	8	yes	—
189	C₂×D₄×D₄₃	C₂³	1	8	yes	—
190	C₂×D₄×D₄₃	C₂³	1	2	yes	complemented
191	C₂×D₄×D₄₃	C₂³	1	8	yes	complemented
192	C₂×D₄×D₄₃	C₂³	1	4	yes	complemented
193	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
194	C₂³×Dic₄₃	C₂³	1	2	yes	—
195	C₂³×Dic₄₃	C₂³	1	4	yes	complemented
196	C₂²×C₄×D₄₃	—	2	16	no	—
197	C₂²×C₄×D₄₃	—	2	8	no	—
198	C₂²×C₄×D₄₃	C₂³	1	4	yes	—
199	C₂²×C₄×D₄₃	C₂³	1	8	yes	—
200	C₂²×C₄×D₄₃	C₂³	1	4	yes	—
201	C₂²×C₄×D₄₃	C₂³	1	8	yes	—
202	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
206	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
207	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
208	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₄₃	C₂³	1	4	yes	complemented
210	C₂²×C₄×D₄₃	C₂³	1	4	yes	complemented
211	#13063324	C₂³	1	16	yes	complemented
212	#13063323	C₂³	1	4	yes	complemented
213	#13063322	C₂³	1	4	yes	complemented
214	#13063321	C₂³	1	4	yes	complemented
215	#13063321	C₂³	1	16	yes	complemented
216	#13063314	C₂³	1	4	yes	complemented
217	#13063314	C₂³	1	4	yes	complemented
218	#13063313	C₂³	1	4	yes	complemented
219	#13063311	C₂³	1	16	yes	complemented
220	#13063311	C₂³	1	16	yes	complemented
221	#13063310	C₂³	1	8	yes	complemented
222	#13063310	C₂³	1	16	yes	complemented
223	#13063309	C₂³	1	4	yes	—
224	#13063309	C₂³	1	8	yes	complemented
225	#13063308	C₂³	1	4	yes	—
226	#13063308	C₂³	1	8	yes	—
227	#13063308	C₂³	1	16	yes	complemented
228	#13063308	C₂³	1	8	yes	complemented
229	#13063307	C₂³	1	8	yes	complemented
230	#13063306	C₂³	1	4	yes	—
231	#13063306	C₂³	1	8	yes	complemented
232	#13063305	C₂³	1	4	yes	—
233	#13063304	C₂³	1	4	yes	complemented
234	#13063303	C₂³	1	16	yes	—
235	#13063303	C₂³	1	8	yes	—
236	#13063303	C₂³	1	16	yes	complemented
237	#13063303	C₂³	1	16	yes	complemented
238	#13063303	C₂³	1	16	yes	complemented
239	#13063302	C₂³	1	16	yes	complemented
240	#13063302	C₂³	1	8	yes	complemented
241	#13063301	C₂³	1	4	yes	—
242	#13063301	C₂³	1	8	yes	complemented
243	#13063300	C₂³	1	4	yes	—
244	#13063300	C₂³	1	8	yes	complemented
245	#13063300	C₂³	1	16	yes	complemented
246	#13063299	C₂³	1	8	yes	complemented
247	#13063299	C₂³	1	4	yes	complemented
248	#13063299	C₂³	1	16	yes	complemented
249	#13063298	C₂³	1	16	yes	—
250	#13063298	C₂³	1	8	yes	—
251	#13063298	C₂³	1	16	yes	complemented
252	#13063298	C₂³	1	16	yes	complemented
253	#13063298	C₂³	1	16	yes	complemented
254	#13063298	C₂³	1	16	yes	complemented
255	#13063297	C₂³	1	16	yes	complemented
256	#13063297	C₂³	1	8	yes	complemented
257	#13063297	C₂³	1	16	yes	complemented
258	#13063297	C₂³	1	16	yes	complemented
259	#13063296	C₂³	1	4	yes	—
260	#13063295	C₂³	1	4	yes	—
261	#13063295	C₂³	1	8	yes	—
262	#13063295	C₂³	1	8	yes	—
263	#13063295	C₂³	1	16	yes	—
264	#13063295	C₂³	1	8	yes	complemented
265	#13063295	C₂³	1	16	yes	complemented
266	#13063294	C₂³	1	4	yes	—
267	#13063294	C₂³	1	8	yes	complemented
268	#13063293	C₂³	1	4	yes	—
269	#13063293	C₂³	1	8	yes	—
270	#13063293	C₂³	1	8	yes	—
271	#13063293	C₂³	1	16	yes	—
272	#13063293	C₂³	1	8	yes	complemented
273	C₄×Dic₈₆	C₂³	1	8	yes	complemented
274	#13063290	C₂³	1	8	yes	complemented
275	C₄×D₁₇₂	C₂³	1	8	yes	—
276	D₄×Dic₄₃	C₂³	1	8	yes	complemented
277	D₄×Dic₄₃	C₂³	1	8	yes	complemented
278	#13063287	C₂³	1	16	yes	—
279	#13063287	C₂³	1	8	yes	—
280	#13063287	C₂³	1	16	yes	complemented
281	#13063287	C₂³	1	16	yes	complemented
282	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
283	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
284	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
285	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	—
286	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
287	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
288	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	complemented
289	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
290	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
291	#13063284	C₂³	1	2	yes	—
292	#13063283	C₂³	1	4	yes	complemented
293	#13063282	C₂³	1	4	yes	complemented
294	#13063281	C₂³	1	4	yes	—
295	#13063281	C₂³	1	8	yes	—
296	#13063281	C₂³	1	8	yes	complemented
297	#13063281	C₂³	1	8	yes	complemented
298	C₂×Dic₄₃⋊C₄	C₂³	1	8	yes	complemented
299	C₂×Dic₄₃⋊C₄	C₂³	1	8	yes	complemented
300	C₄⋊C₄×D₄₃	C₂³	1	4	yes	complemented
301	C₄⋊C₄×D₄₃	C₂³	1	8	yes	complemented
302	C₂×C₂²⋊Dic₄₃	C₂³	1	4	yes	—
303	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	8	yes	—
304	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	8	yes	—
305	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	8	yes	complemented
306	C₂²⋊C₄×D₄₃	C₂³	1	4	yes	—
307	C₂²⋊C₄×D₄₃	C₂³	1	8	yes	—
308	C₂²⋊C₄×D₄₃	C₂³	1	8	yes	complemented
309	C₂×C₄×Dic₄₃	C₂³	1	8	yes	complemented
310	C₄²×D₄₃	C₂³	1	4	yes	complemented
311	H(5,𝔽₂)×C₄₃	—	2	8	no	—
312	C₂×#41×C₄₃	—	2	8	no	—
313	C₂×#41×C₄₃	C₂³	1	2	yes	—
314	C₂×#41×C₄₃	C₂³	1	8	yes	—
315	C₂×#41×C₄₃	C₂³	1	4	yes	complemented
316	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
317	C₂²×D₄×C₄₃	C₂³	1	4	yes	—
318	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
319	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
320	C₂²×D₄×C₄₃	C₂³	1	4	yes	complemented
321	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
322	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
323	C₄⋊Q₈×C₄₃	C₂³	1	4	yes	complemented
324	#124×C₄₃	C₂³	1	4	yes	complemented
325	#123×C₄₃	C₂³	1	4	yes	—
326	#123×C₄₃	C₂³	1	8	yes	—
327	#123×C₄₃	C₂³	1	16	yes	complemented
328	#123×C₄₃	C₂³	1	8	yes	complemented
329	C₂²⋊Q₈×C₄₃	C₂³	1	4	yes	complemented
330	C₂²⋊Q₈×C₄₃	C₂³	1	8	yes	complemented
331	#121×C₄₃	C₂³	1	4	yes	complemented
332	#121×C₄₃	C₂³	1	16	yes	complemented
333	#120×C₄₃	C₂³	1	4	yes	—
334	#120×C₄₃	C₂³	1	8	yes	complemented
335	C₄×D₄×C₄₃	C₂³	1	8	yes	complemented
336	C₄×D₄×C₄₃	C₂³	1	8	yes	complemented
337	#117×C₄₃	C₂³	1	2	yes	—
338	C₂×C₄⋊C₄×C₄₃	C₂³	1	8	yes	complemented
339	C₂×C₂²⋊C₄×C₄₃	C₂³	1	4	yes	—
340	C₂×C₂²⋊C₄×C₄₃	C₂³	1	8	yes	complemented
341	C₂⁴×C₄₃	C₂⁴	1	4	yes	—
342	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
343	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
344	C₂³×D₄₃	—	2	8	no	—
345	C₂³×D₄₃	—	2	4	no	—
346	C₂³×D₄₃	—	4	8	no	—
347	C₂³×D₄₃	—	4	4	no	—
348	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
349	C₂³×D₄₃	C₂⁴	1	4	yes	—
350	C₂³×D₄₃	C₂⁴	1	8	yes	—
351	C₂³×D₄₃	C₂⁴	1	4	yes	—
352	C₂³×D₄₃	C₂⁴	1	4	yes	—
353	C₂³×D₄₃	C₂⁴	1	2	yes	—
354	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
355	#41×C₄₃	—	2	32	no	—
356	#41×C₄₃	—	2	16	no	—
357	#41×C₄₃	—	2	8	no	—
358	C₂×Q₈×C₄₃	—	2	4	no	—
359	C₂×Q₈×C₄₃	C₂⁴	1	4	yes	—
360	C₂×Q₈×C₄₃	C₂⁴	1	2	yes	—
361	C₂×D₄×C₄₃	—	2	16	no	—
362	C₂×D₄×C₄₃	—	2	8	no	—
363	C₂×D₄×C₄₃	—	2	16	no	—
364	C₂×D₄×C₄₃	C₂×D₄	1	8	yes	complemented
365	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
366	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
367	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
368	C₂×D₄×C₄₃	C₂⁴	1	2	yes	—
369	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
370	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
371	C₂²×C₄×C₄₃	—	2	4	no	—
372	C₂²×C₄×C₄₃	—	2	8	no	—
373	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
374	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
375	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
376	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
377	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
378	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
379	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
380	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
381	C₂×C₂²⋊D₄₃	—	2	32	no	—
382	C₂×C₂²⋊D₄₃	—	2	8	no	—
383	C₂×C₂²⋊D₄₃	—	2	16	no	—
384	C₂×C₂²⋊D₄₃	—	2	8	no	—
385	C₂×C₂²⋊D₄₃	—	2	16	no	—
386	C₂×C₂²⋊D₄₃	—	4	16	no	—
387	C₂×C₂²⋊D₄₃	C₂×D₄	1	16	yes	complemented
388	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
389	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
390	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
391	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
392	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
393	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
394	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
395	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
396	C₂×C₂²⋊D₄₃	C₂⁴	1	16	yes	—
397	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
398	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
399	C₂²×Dic₄₃	—	2	4	no	—
400	C₂²×Dic₄₃	—	2	16	no	—
401	C₂²×Dic₄₃	C₂×D₄	1	16	yes	complemented
402	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
403	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
404	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
405	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
406	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
407	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
408	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
409	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
410	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
411	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
412	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
413	#10621902	—	2	8	no	—
414	#10621902	—	2	16	no	—
415	#10621902	—	2	16	no	—
416	Q₈×D₄₃	—	2	8	no	—
417	Q₈×D₄₃	—	2	32	no	—
418	Q₈×D₄₃	—	2	16	no	—
419	#10621900	—	2	16	no	—
420	#10621900	—	2	32	no	—
421	#10621900	—	2	32	no	—
422	#10621900	—	2	32	no	—
423	#10621900	—	2	16	no	—
424	#10621900	—	2	32	no	—
425	#10621900	—	2	32	no	—
426	#10621900	—	2	32	no	—
427	#10621900	—	2	8	no	—
428	#10621900	—	2	16	no	—
429	#10621900	C₂×D₄	1	32	yes	complemented
430	#10621900	C₂×D₄	1	32	yes	complemented
431	D₄×D₄₃	—	2	32	no	—
432	D₄×D₄₃	—	2	16	no	—
433	D₄×D₄₃	—	2	64	no	—
434	D₄×D₄₃	—	2	32	no	—
435	D₄×D₄₃	—	2	8	no	—
436	D₄×D₄₃	—	2	16	no	—
437	D₄×D₄₃	—	4	16	no	—
438	#10621898	—	2	8	no	—
439	#10621898	—	2	64	no	—
440	#10621898	—	2	32	no	—
441	#10621898	—	2	16	no	—
442	#10621898	—	2	32	no	—
443	#10621898	—	2	16	no	—
444	C₂×D₁₇₂	—	2	4	no	—
445	C₂×D₁₇₂	—	2	8	no	—
446	C₂×D₁₇₂	—	4	16	no	—
447	C₂×D₁₇₂	C₂⁴	1	8	yes	—
448	C₂×D₁₇₂	C₂⁴	1	4	yes	—
449	C₂×D₁₇₂	C₂⁴	1	8	yes	—
450	C₂×D₁₇₂	C₂⁴	1	2	yes	—
451	C₂×D₁₇₂	C₂⁴	1	4	yes	—
452	C₂×D₁₇₂	C₂⁴	1	16	yes	—
453	C₂×C₄×D₄₃	—	2	4	no	—
454	C₂×C₄×D₄₃	—	2	4	no	—
455	C₂×C₄×D₄₃	—	2	8	no	—
456	C₂×C₄×D₄₃	—	2	32	no	—
457	C₂×C₄×D₄₃	—	2	32	no	—
458	C₂×C₄×D₄₃	—	2	8	no	—
459	C₂×C₄×D₄₃	—	2	8	no	—
460	C₂×C₄×D₄₃	—	2	16	no	—
461	C₂×C₄×D₄₃	—	2	16	no	—
462	C₂×C₄×D₄₃	—	2	16	no	—
463	C₂×C₄×D₄₃	—	2	16	no	—
464	C₂×C₄×D₄₃	—	2	4	no	—
465	C₂×C₄×D₄₃	C₂×D₄	1	8	yes	complemented
466	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
467	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
468	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
469	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
470	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
471	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
472	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
473	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
474	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
475	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
476	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
477	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
478	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
479	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
480	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
481	C₂×Dic₈₆	—	2	8	no	—
482	C₂×Dic₈₆	—	2	16	no	—
483	C₂×Dic₈₆	—	2	16	no	—
484	C₂×Dic₈₆	C₂×D₄	1	8	yes	complemented
485	C₂×Dic₈₆	C₂⁴	1	4	yes	—
486	C₂×Dic₈₆	C₂⁴	1	8	yes	—
487	C₂×Dic₈₆	C₂⁴	1	8	yes	—
488	C₂×Dic₈₆	C₂⁴	1	2	yes	—
489	C₂×Dic₈₆	C₂⁴	1	4	yes	—
490	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
491	C₄⋊C₄×C₄₃	C₂⁴	1	16	yes	—
492	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
493	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
494	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
495	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
496	C₂²⋊C₄×C₄₃	C₂⁴	1	16	yes	—
497	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
498	C₄²×C₄₃	C₂⁴	1	4	yes	—
499	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
500	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
501	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
502	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
503	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
504	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
505	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
506	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
507	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
508	(C₂×D₄₃)⋊C₄	C₂⁴	1	16	yes	—
509	(C₂×D₄₃)⋊C₄	C₂⁴	1	16	yes	—
510	(C₂×D₄₃)⋊C₄	C₂⁴	1	16	yes	—
511	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
512	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
513	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
514	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
515	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
516	Dic₄₃⋊C₄	C₂⁴	1	16	yes	—
517	Dic₄₃⋊C₄	C₂⁴	1	16	yes	—
518	C₄×Dic₄₃	C₂⁴	1	8	yes	—
519	C₄×Dic₄₃	C₂⁴	1	4	yes	—
520	C₄×Dic₄₃	C₂⁴	1	16	yes	—
521	C₂³×C₄₃	—	2	2	no	—
522	C₂³×C₄₃	—	2	8	no	—
523	C₂³×C₄₃	—	4	4	no	—
524	C₂³×C₄₃	—	4	2	no	—
525	C₂³×C₄₃	—	4	8	no	—
526	C₂³×C₄₃	C₂²×D₄	1	8	yes	—
527	C₂³×C₄₃	C₂⁵	1	2	yes	—
528	C₂³×C₄₃	C₂⁵	1	4	yes	—
529	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
530	C₂³×C₄₃	C₂⁵	1	4	yes	—
531	C₂²×D₄₃	—	2	2	no	—
532	C₂²×D₄₃	—	2	4	no	—
533	C₂²×D₄₃	—	2	4	no	—
534	C₂²×D₄₃	—	2	16	no	—
535	C₂²×D₄₃	—	2	8	no	—
536	C₂²×D₄₃	—	2	8	no	—
537	C₂²×D₄₃	—	2	16	no	—
538	C₂²×D₄₃	—	2	8	no	—
539	C₂²×D₄₃	—	2	8	no	—
540	C₂²×D₄₃	—	4	4	no	—
541	C₂²×D₄₃	—	4	8	no	—
542	C₂²×D₄₃	—	4	2	no	—
543	C₂²×D₄₃	—	4	4	no	—
544	C₂²×D₄₃	—	4	8	no	—
545	C₂²×D₄₃	—	4	8	no	—
546	C₂²×D₄₃	—	4	16	no	—
547	C₂²×D₄₃	—	4	32	no	—
548	C₂²×D₄₃	C₂²×D₄	1	4	yes	—
549	C₂²×D₄₃	C₂⁵	1	4	yes	—
550	C₂²×D₄₃	C₂⁵	1	4	yes	—
551	C₂²×D₄₃	C₂⁵	1	2	yes	—
552	C₂²×D₄₃	C₂⁵	1	2	yes	—
553	Q₈×C₄₃	—	2	4	no	—
554	Q₈×C₄₃	—	2	8	no	—
555	D₄×C₄₃	—	2	16	no	—
556	D₄×C₄₃	—	2	8	no	—
557	D₄×C₄₃	—	2	16	no	—
558	D₄×C₄₃	—	2	4	no	—
559	D₄×C₄₃	—	4	8	no	—
560	D₄×C₄₃	C₂²×D₄	1	16	yes	—
561	C₂×C₄×C₄₃	—	2	4	no	—
562	C₂×C₄×C₄₃	—	2	8	no	—
563	C₂×C₄×C₄₃	—	2	2	no	—
564	C₂×C₄×C₄₃	—	2	16	no	—
565	C₂×C₄×C₄₃	—	2	8	no	—
566	C₂×C₄×C₄₃	—	2	8	no	—
567	C₂×C₄×C₄₃	—	4	8	no	—
568	C₂×C₄×C₄₃	C₂²×D₄	1	4	yes	—
569	C₂×C₄×C₄₃	C₂⁵	1	8	yes	—
570	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
571	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
572	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
573	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
574	C₂²⋊D₄₃	—	2	16	no	—
575	C₂²⋊D₄₃	—	2	8	no	—
576	C₂²⋊D₄₃	—	2	16	no	—
577	C₂²⋊D₄₃	—	2	8	no	—
578	C₂²⋊D₄₃	—	2	16	no	—
579	C₂²⋊D₄₃	—	2	16	no	—
580	C₂²⋊D₄₃	—	2	16	no	—
581	C₂²⋊D₄₃	—	2	8	no	—
582	C₂²⋊D₄₃	—	4	8	no	—
583	C₂²⋊D₄₃	—	4	16	no	—
584	C₂²⋊D₄₃	C₂²×D₄	1	32	yes	—
585	C₂×Dic₄₃	—	2	2	no	—
586	C₂×Dic₄₃	—	2	8	no	—
587	C₂×Dic₄₃	—	2	16	no	—
588	C₂×Dic₄₃	—	2	4	no	—
589	C₂×Dic₄₃	—	2	4	no	—
590	C₂×Dic₄₃	—	2	8	no	—
591	C₂×Dic₄₃	—	4	8	no	—
592	C₂×Dic₄₃	C₂²×D₄	1	8	yes	—
593	C₂×Dic₄₃	C₂²×D₄	1	16	yes	—
594	C₂×Dic₄₃	C₂²×D₄	1	4	yes	—
595	C₂×Dic₄₃	C₂²×D₄	1	16	yes	—
596	C₂×Dic₄₃	C₂⁵	1	8	yes	—
597	C₂×Dic₄₃	C₂⁵	1	4	yes	—
598	C₂×Dic₄₃	C₂⁵	1	2	yes	—
599	C₂×Dic₄₃	C₂⁵	1	1	yes	characteristic
600	C₂×Dic₄₃	C₂⁵	1	4	yes	—
601	C₂×Dic₄₃	C₂⁵	1	1	yes	characteristic
602	D₁₇₂	—	2	16	no	—
603	D₁₇₂	—	2	8	no	—
604	D₁₇₂	—	2	16	no	—
605	D₁₇₂	—	2	8	no	—
606	D₁₇₂	—	2	4	no	—
607	D₁₇₂	—	4	16	no	—
608	C₄×D₄₃	—	2	8	no	—
609	C₄×D₄₃	—	2	8	no	—
610	C₄×D₄₃	—	2	8	no	—
611	C₄×D₄₃	—	2	8	no	—
612	C₄×D₄₃	—	2	4	no	—
613	C₄×D₄₃	—	2	4	no	—
614	C₄×D₄₃	—	2	16	no	—
615	C₄×D₄₃	—	2	16	no	—
616	C₄×D₄₃	—	2	8	no	—
617	C₄×D₄₃	—	2	8	no	—
618	C₄×D₄₃	—	2	8	no	—
619	C₄×D₄₃	—	2	16	no	—
620	C₄×D₄₃	—	4	8	no	—
621	C₄×D₄₃	C₂²×D₄	1	8	yes	—
622	C₄×D₄₃	C₂²×D₄	1	8	yes	—
623	Dic₈₆	—	2	4	no	—
624	Dic₈₆	—	2	16	no	—
625	Dic₈₆	—	2	8	no	—
626	Dic₈₆	—	2	16	no	—
627	Dic₈₆	C₂²×D₄	1	16	yes	—
628	#62811	—	43	1	no	maximal, Sylow
629	C₂²×C₄₃	—	2	2	no	—
630	C₂²×C₄₃	—	2	8	no	—
631	C₂²×C₄₃	—	2	2	no	—
632	C₂²×C₄₃	—	2	4	no	—
633	C₂²×C₄₃	—	2	4	no	—
634	C₂²×C₄₃	—	2	8	no	—
635	C₂²×C₄₃	—	4	8	no	—
636	C₂²×C₄₃	—	4	4	no	—
637	C₂²×C₄₃	—	8	8	no	—
638	C₂²×C₄₃	C₂³×D₄	1	2	yes	—
639	C₂²×C₄₃	C₂³×D₄	1	8	yes	—
640	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
641	C₂×D₄₃	—	2	8	no	—
642	C₂×D₄₃	—	2	2	no	—
643	C₂×D₄₃	—	2	2	no	—
644	C₂×D₄₃	—	2	4	no	—
645	C₂×D₄₃	—	2	4	no	—
646	C₂×D₄₃	—	2	4	no	—
647	C₂×D₄₃	—	2	8	no	—
648	C₂×D₄₃	—	2	8	no	—
649	C₂×D₄₃	—	4	4	no	—
650	C₂×D₄₃	—	4	16	no	—
651	C₂×D₄₃	—	4	32	no	—
652	C₂×D₄₃	—	4	8	no	—
653	C₂×D₄₃	—	8	8	no	—
654	C₂×D₄₃	—	8	8	no	—
655	C₂×D₄₃	C₂³×D₄	1	4	yes	—
656	C₂×D₄₃	#585	1	4	yes	complemented
657	C₄×C₄₃	—	2	4	no	—
658	C₄×C₄₃	—	2	4	no	—
659	C₄×C₄₃	—	2	2	no	—
660	C₄×C₄₃	—	2	8	no	—
661	C₄×C₄₃	C₂³×D₄	1	4	yes	—
662	Dic₄₃	—	2	2	no	—
663	Dic₄₃	—	2	4	no	—
664	Dic₄₃	—	2	8	no	—
665	Dic₄₃	C₂³×D₄	1	8	yes	—
666	Dic₄₃	C₂³×D₄	1	2	yes	—
667	Dic₄₃	C₂³×D₄	1	2	yes	—
668	C₂×#585	—	43	1	no	—
669	C₂³×#41	—	43	1	no	—
670	#3489	—	43	8	no	—
671	#3488	—	43	8	no	—
672	#3487	—	43	2	no	—
673	#3486	—	43	2	no	—
674	#3485	—	43	1	no	—
675	#3485	—	43	4	no	—
676	#3485	D₄₃	1	1	yes	characteristic, complemented
677	#3484	—	43	1	no	—
678	#3484	—	43	4	no	—
679	#3484	—	43	1	no	—
680	D₄×#41	—	43	8	no	—
681	D₄×#41	—	43	8	no	—
682	#3449	—	43	2	no	—
683	#3449	—	43	4	no	—
684	C₂×#525	—	43	2	no	—
685	C₂×#525	—	43	4	no	—
686	#3428	—	43	1	no	—
687	C₂×C₄₃	—	2	2	no	—
688	C₂×C₄₃	—	2	8	no	—
689	C₂×C₄₃	—	4	2	no	—
690	C₂×C₄₃	—	4	4	no	—
691	C₂×C₄₃	C₂⁴×D₄	1	1	yes	characteristic
692	C₂×C₄₃	C₂×#585	1	2	yes	—
693	D₄₃	—	2	4	no	—
694	D₄₃	—	2	4	no	—
695	D₄₃	—	4	4	no	—
696	D₄₃	—	4	4	no	—
697	#585	—	86	16	no	—
698	C₂×2₋¹⁺⁴	—	43	2	no	—
699	C₂×2₋¹⁺⁴	—	43	4	no	—
700	C₂×H(5,𝔽₂)	—	43	4	no	—
701	C₂×H(5,𝔽₂)	—	43	1	no	—
702	C₂×H(5,𝔽₂)	—	43	4	no	—
703	C₂×H(5,𝔽₂)	C₂×D₄₃	1	1	yes	characteristic, complemented
704	C₂²×#41	—	43	8	no	—
705	C₂²×#41	—	43	8	no	—
706	C₂²×#41	—	43	2	no	—
707	C₂²×#41	—	43	4	no	—
708	C₂²×#41	—	43	1	no	—
709	C₂²×#41	—	43	1	no	—
710	C₂²×#41	—	43	2	no	—
711	C₂²×#41	—	43	4	no	—
712	C₂²×#41	—	43	4	no	—
713	C₂²×#41	—	43	2	no	—
714	C₂²×#41	—	43	1	no	—
715	C₂²×#41	—	86	16	no	—
716	C₂²×#41	C₂×D₄₃	1	1	yes	characteristic, complemented
717	C₂³×Q₈	—	43	1	no	—
718	C₂³×D₄	—	43	2	no	—
719	C₂³×D₄	—	43	1	no	—
720	C₂⁴×C₄	—	43	2	no	—
721	C₂⁴×C₄	—	43	1	no	—
722	#550	—	43	8	no	—
723	#550	—	43	8	no	—
724	D₄×Q₈	—	43	8	no	—
725	D₄×Q₈	—	43	8	no	—
726	#548	—	43	8	no	—
727	#548	—	43	8	no	—
728	#548	—	43	8	no	—
729	#548	—	43	8	no	—
730	#547	—	43	8	no	—
731	#547	—	43	16	no	—
732	#547	—	43	16	no	—
733	#547	C₂×D₄₃	1	8	yes	complemented
734	#546	—	43	8	no	—
735	#546	—	43	8	no	—
736	#546	—	43	16	no	—
737	#546	—	43	16	no	—
738	#546	—	43	16	no	—
739	#546	—	43	8	no	—
740	#546	—	43	16	no	—
741	#546	C₂×D₄₃	1	8	yes	complemented
742	D₄²	—	43	8	no	—
743	D₄²	—	43	16	no	—
744	D₄²	—	43	16	no	—
745	D₄²	—	43	8	no	—
746	#537	—	43	8	no	—
747	#537	—	43	16	no	—
748	#536	—	43	2	no	—
749	#536	—	43	4	no	—
750	#536	—	43	8	no	—
751	#536	—	43	8	no	—
752	#536	C₂×D₄₃	1	2	yes	complemented
753	#535	—	43	2	no	—
754	#535	—	43	4	no	—
755	#535	—	43	8	no	—
756	#535	—	43	8	no	—
757	#535	—	43	2	no	—
758	#534	—	43	4	no	—
759	#534	—	43	4	no	—
760	#534	—	43	8	no	—
761	#534	—	43	4	no	—
762	#534	C₂×D₄₃	1	4	yes	complemented
763	#532	—	43	4	no	—
764	#532	—	43	4	no	—
765	#532	—	43	16	no	—
766	#525	—	43	2	no	—
767	#525	—	43	2	no	—
768	#525	—	43	4	no	—
769	#525	—	43	8	no	—
770	#525	—	43	8	no	—
771	#525	—	43	8	no	—
772	#525	—	43	16	no	—
773	#525	—	43	16	no	—
774	#525	—	43	8	no	—
775	#525	—	43	4	no	—
776	#525	—	43	8	no	—
777	#525	—	43	4	no	—
778	#525	—	43	4	no	—
779	#525	—	43	8	no	—
780	#525	—	43	8	no	—
781	#525	—	43	2	no	—
782	#525	C₂×D₄₃	1	2	yes	complemented
783	C₂×#123	—	43	4	no	—
784	C₂×#123	—	43	4	no	—
785	C₂×#123	C₂×D₄₃	1	4	yes	complemented
786	C₂×C₂²⋊Q₈	—	43	4	no	—
787	C₂×C₂²⋊Q₈	—	43	8	no	—
788	C₂×#121	—	43	4	no	—
789	C₂×#121	—	43	8	no	—
790	C₂×#120	—	43	4	no	—
791	C₂×#120	—	43	4	no	—
792	C₂×#120	—	43	4	no	—
793	#520	—	43	8	no	—
794	#519	—	43	2	no	—
795	#518	—	43	1	no	—
796	#518	—	43	4	no	—
797	#518	C₂×D₄₃	1	1	yes	characteristic, complemented
798	C₄×#41	—	43	8	no	—
799	C₂×C₄×D₄	—	43	8	no	—
800	C₂×C₄×D₄	—	43	8	no	—
801	C₂×C₄×D₄	—	43	8	no	—
802	C₂×#117	—	43	2	no	—
803	C₂×#117	—	43	4	no	—
804	C₄₃	#62811	1	1	yes	characteristic, complemented, Sylow
805	C₂⁵	—	43	1	no	—
806	C₂⁵	—	43	2	no	—
807	2₋¹⁺⁴	—	86	16	no	—
808	2₋¹⁺⁴	—	86	32	no	—
809	H(5,𝔽₂)	—	2	8	no	—
810	H(5,𝔽₂)	—	86	32	no	—
811	H(5,𝔽₂)	—	86	32	no	—
812	H(5,𝔽₂)	—	86	8	no	—
813	C₂×#41	—	2	8	no	—
814	C₂×#41	—	43	4	no	—
815	C₂×#41	—	43	2	no	—
816	C₂×#41	—	43	4	no	—
817	C₂×#41	—	43	16	no	—
818	C₂×#41	—	43	4	no	—
819	C₂×#41	—	43	4	no	—
820	C₂×#41	—	43	4	no	—
821	C₂×#41	—	43	8	no	—
822	C₂×#41	—	43	8	no	—
823	C₂×#41	—	43	2	no	—
824	C₂×#41	—	43	8	no	—
825	C₂×#41	—	43	8	no	—
826	C₂×#41	—	43	8	no	—
827	C₂×#41	—	43	4	no	—
828	C₂×#41	—	43	8	no	—
829	C₂×#41	—	43	4	no	—
830	C₂×#41	—	43	2	no	—
831	C₂×#41	—	43	4	no	—
832	C₂×#41	—	43	16	no	—
833	C₂×#41	—	43	8	no	—
834	C₂×#41	—	43	8	no	—
835	C₂×#41	—	43	4	no	—
836	C₂×#41	—	86	16	no	—
837	C₂×#41	—	86	8	no	—
838	C₂×#41	—	86	16	no	—
839	C₂×#41	—	86	32	no	—
840	C₂×#41	—	86	8	no	—
841	C₂×#41	—	86	16	no	—
842	C₂×#41	—	86	32	no	—
843	C₂×#41	—	86	64	no	—
844	C₂×#41	—	86	64	no	—
845	C₂×#41	—	86	32	no	—
846	C₂×#41	C₂²×D₄₃	1	2	yes	—
847	C₂×#41	C₂²×D₄₃	1	8	yes	—
848	C₂×#41	C₂²×D₄₃	1	4	yes	complemented
849	C₂²×Q₈	—	43	2	no	—
850	C₂²×Q₈	—	43	8	no	—
851	C₂²×Q₈	—	43	4	no	—
852	C₂²×Q₈	—	43	1	no	—
853	C₂²×Q₈	—	43	4	no	—
854	C₂²×Q₈	—	43	2	no	—
855	C₂²×Q₈	—	43	4	no	—
856	C₂²×Q₈	—	86	8	no	—
857	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
858	C₂²×D₄	—	43	2	no	—
859	C₂²×D₄	—	43	4	no	—
860	C₂²×D₄	—	43	4	no	—
861	C₂²×D₄	—	43	2	no	—
862	C₂²×D₄	—	43	2	no	—
863	C₂²×D₄	—	43	8	no	—
864	C₂²×D₄	—	43	8	no	—
865	C₂²×D₄	—	43	4	no	—
866	C₂²×D₄	—	43	2	no	—
867	C₂²×D₄	—	43	16	no	—
868	C₂²×D₄	—	43	8	no	—
869	C₂²×D₄	—	43	8	no	—
870	C₂²×D₄	—	43	4	no	—
871	C₂²×D₄	—	43	8	no	—
872	C₂²×D₄	—	43	2	no	—
873	C₂²×D₄	—	43	1	no	—
874	C₂²×D₄	—	43	8	no	—
875	C₂²×D₄	—	86	16	no	—
876	C₂²×D₄	—	86	8	no	—
877	C₂²×D₄	C₂²×D₄₃	1	4	yes	—
878	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
879	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
880	C₂²×D₄	C₂²×D₄₃	1	4	yes	complemented
881	C₂³×C₄	—	43	2	no	—
882	C₂³×C₄	—	43	1	no	—
883	C₂³×C₄	—	43	4	no	—
884	C₂³×C₄	—	43	1	no	—
885	C₂³×C₄	—	43	8	no	—
886	C₂³×C₄	—	43	4	no	—
887	C₂³×C₄	—	43	4	no	—
888	C₂³×C₄	—	43	4	no	—
889	C₂³×C₄	—	43	8	no	—
890	C₂³×C₄	—	43	4	no	—
891	C₂³×C₄	—	43	1	no	—
892	C₂³×C₄	—	43	1	no	—
893	C₂³×C₄	—	43	2	no	—
894	C₂³×C₄	—	43	1	no	—
895	C₂³×C₄	—	43	2	no	—
896	C₂³×C₄	—	43	2	no	—
897	C₂³×C₄	—	86	16	no	—
898	C₂³×C₄	—	86	8	no	—
899	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
900	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
901	C₄⋊Q₈	—	43	4	no	—
902	C₄⋊Q₈	—	43	16	no	—
903	C₄⋊Q₈	C₂²×D₄₃	1	4	yes	complemented
904	#127	—	43	16	no	—
905	#127	—	43	4	no	—
906	#127	—	43	4	no	—
907	#124	—	43	4	no	—
908	#124	—	43	4	no	—
909	#124	—	43	16	no	—
910	#124	—	43	16	no	—
911	#124	—	43	4	no	—
912	#124	C₂²×D₄₃	1	4	yes	complemented
913	#123	—	43	4	no	—
914	#123	—	43	8	no	—
915	#123	—	43	4	no	—
916	#123	—	43	8	no	—
917	#123	—	43	16	no	—
918	#123	—	43	8	no	—
919	#123	—	43	8	no	—
920	#123	—	43	16	no	—
921	#123	—	43	4	no	—
922	#123	—	43	8	no	—
923	#123	—	43	8	no	—
924	#123	C₂²×D₄₃	1	4	yes	—
925	#123	C₂²×D₄₃	1	8	yes	—
926	#123	C₂²×D₄₃	1	16	yes	complemented
927	#123	C₂²×D₄₃	1	8	yes	complemented
928	C₂²⋊Q₈	—	43	4	no	—
929	C₂²⋊Q₈	—	43	8	no	—
930	C₂²⋊Q₈	—	43	4	no	—
931	C₂²⋊Q₈	—	43	8	no	—
932	C₂²⋊Q₈	—	43	16	no	—
933	C₂²⋊Q₈	—	43	16	no	—
934	C₂²⋊Q₈	—	43	4	no	—
935	C₂²⋊Q₈	—	43	16	no	—
936	C₂²⋊Q₈	—	43	16	no	—
937	C₂²⋊Q₈	—	43	8	no	—
938	C₂²⋊Q₈	—	43	16	no	—
939	C₂²⋊Q₈	C₂²×D₄₃	1	4	yes	complemented
940	C₂²⋊Q₈	C₂²×D₄₃	1	8	yes	complemented
941	#121	—	43	8	no	—
942	#121	—	43	4	no	—
943	#121	—	43	16	no	—
944	#121	—	43	16	no	—
945	#121	—	43	16	no	—
946	#121	—	43	4	no	—
947	#121	—	43	8	no	—
948	#121	—	43	16	no	—
949	#121	—	43	4	no	—
950	#121	—	43	8	no	—
951	#121	—	43	16	no	—
952	#121	—	43	8	no	—
953	#121	—	43	16	no	—
954	#121	—	43	16	no	—
955	#121	—	43	16	no	—
956	#121	—	43	16	no	—
957	#121	—	43	16	no	—
958	#121	C₂²×D₄₃	1	4	yes	complemented
959	#121	C₂²×D₄₃	1	16	yes	complemented
960	#120	—	43	4	no	—
961	#120	—	43	8	no	—
962	#120	—	43	4	no	—
963	#120	—	43	8	no	—
964	#120	—	43	16	no	—
965	#120	—	43	8	no	—
966	#120	—	43	8	no	—
967	#120	—	43	4	no	—
968	#120	—	43	8	no	—
969	#120	—	43	8	no	—
970	#120	—	43	16	no	—
971	#120	—	43	16	no	—
972	#120	—	43	8	no	—
973	#120	C₂²×D₄₃	1	4	yes	—
974	#120	C₂²×D₄₃	1	8	yes	complemented
975	C₄×Q₈	—	43	8	no	—
976	C₄×Q₈	—	43	8	no	—
977	C₄×D₄	—	43	8	no	—
978	C₄×D₄	—	43	8	no	—
979	C₄×D₄	—	43	8	no	—
980	C₄×D₄	—	43	8	no	—
981	C₄×D₄	—	43	16	no	—
982	C₄×D₄	—	43	8	no	—
983	C₄×D₄	—	43	16	no	—
984	C₄×D₄	—	43	16	no	—
985	C₄×D₄	—	43	16	no	—
986	C₄×D₄	—	43	8	no	—
987	C₄×D₄	—	43	8	no	—
988	C₄×D₄	—	43	16	no	—
989	C₄×D₄	—	43	16	no	—
990	C₄×D₄	—	43	16	no	—
991	C₄×D₄	—	43	16	no	—
992	C₄×D₄	—	43	8	no	—
993	C₄×D₄	C₂²×D₄₃	1	8	yes	complemented
994	C₄×D₄	C₂²×D₄₃	1	8	yes	complemented
995	#117	—	43	2	no	—
996	#117	—	43	4	no	—
997	#117	—	43	4	no	—
998	#117	—	43	8	no	—
999	#117	—	43	8	no	—
1000	#117	—	43	8	no	—
1001	#117	—	43	4	no	—
1002	#117	C₂²×D₄₃	1	2	yes	—
1003	C₂×C₄⋊C₄	—	43	8	no	—
1004	C₂×C₄⋊C₄	—	43	8	no	—
1005	C₂×C₄⋊C₄	—	43	4	no	—
1006	C₂×C₄⋊C₄	—	43	8	no	—
1007	C₂×C₄⋊C₄	C₂²×D₄₃	1	8	yes	complemented
1008	C₂×C₂²⋊C₄	—	43	4	no	—
1009	C₂×C₂²⋊C₄	—	43	8	no	—
1010	C₂×C₂²⋊C₄	—	43	8	no	—
1011	C₂×C₂²⋊C₄	—	43	8	no	—
1012	C₂×C₂²⋊C₄	—	43	4	no	—
1013	C₂×C₂²⋊C₄	—	43	8	no	—
1014	C₂×C₂²⋊C₄	—	43	8	no	—
1015	C₂×C₂²⋊C₄	C₂²×D₄₃	1	4	yes	—
1016	C₂×C₂²⋊C₄	C₂²×D₄₃	1	8	yes	complemented
1017	C₂×C₄²	—	43	8	no	—
1018	C₂×C₄²	—	43	4	no	—
1019	C₂⁴	—	43	1	no	—
1020	C₂⁴	—	43	1	no	—
1021	C₂⁴	—	43	4	no	—
1022	C₂⁴	—	43	8	no	—
1023	C₂⁴	—	43	4	no	—
1024	C₂⁴	—	43	4	no	—
1025	C₂⁴	—	43	2	no	—
1026	C₂⁴	—	86	4	no	—
1027	C₂⁴	—	86	8	no	—
1028	C₂⁴	—	172	8	no	—
1029	C₂⁴	—	172	4	no	—
1030	C₂⁴	C₂³×D₄₃	1	4	yes	—
1031	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1032	C₂⁴	C₂³×D₄₃	1	2	yes	—
1033	#41	—	2	32	no	—
1034	#41	—	2	16	no	—
1035	#41	—	2	8	no	—
1036	#41	—	43	32	no	—
1037	#41	—	43	32	no	—
1038	#41	—	86	16	no	—
1039	#41	—	86	64	no	—
1040	#41	—	86	32	no	—
1041	#41	—	86	32	no	—
1042	#41	—	86	16	no	—
1043	#41	—	86	16	no	—
1044	#41	—	86	32	no	—
1045	#41	—	86	32	no	—
1046	#41	—	86	32	no	—
1047	#41	—	86	8	no	—
1048	#41	—	86	32	no	—
1049	#41	—	86	32	no	—
1050	#41	—	86	16	no	—
1051	#41	—	86	8	no	—
1052	#41	—	86	16	no	—
1053	#41	—	86	32	no	—
1054	#41	—	86	16	no	—
1055	#41	—	86	16	no	—
1056	#41	—	86	8	no	—
1057	C₂×Q₈	—	2	4	no	—
1058	C₂×Q₈	—	43	8	no	—
1059	C₂×Q₈	—	43	4	no	—
1060	C₂×Q₈	—	43	4	no	—
1061	C₂×Q₈	—	43	8	no	—
1062	C₂×Q₈	—	43	8	no	—
1063	C₂×Q₈	—	43	2	no	—
1064	C₂×Q₈	—	86	8	no	—
1065	C₂×Q₈	—	86	16	no	—
1066	C₂×Q₈	—	86	16	no	—
1067	C₂×Q₈	—	86	8	no	—
1068	C₂×Q₈	—	86	32	no	—
1069	C₂×Q₈	—	86	16	no	—
1070	C₂×Q₈	C₂³×D₄₃	1	2	yes	—
1071	C₂×Q₈	C₂³×D₄₃	1	4	yes	—
1072	C₂×D₄	—	2	8	no	—
1073	C₂×D₄	—	2	16	no	—
1074	C₂×D₄	—	2	16	no	—
1075	C₂×D₄	—	43	16	no	—
1076	C₂×D₄	—	43	8	no	—
1077	C₂×D₄	—	43	8	no	—
1078	C₂×D₄	—	43	4	no	—
1079	C₂×D₄	—	43	4	no	—
1080	C₂×D₄	—	43	8	no	—
1081	C₂×D₄	—	43	8	no	—
1082	C₂×D₄	—	43	4	no	—
1083	C₂×D₄	—	43	8	no	—
1084	C₂×D₄	—	43	8	no	—
1085	C₂×D₄	—	43	8	no	—
1086	C₂×D₄	—	43	16	no	—
1087	C₂×D₄	—	43	8	no	—
1088	C₂×D₄	—	43	4	no	—
1089	C₂×D₄	—	43	8	no	—
1090	C₂×D₄	—	43	2	no	—
1091	C₂×D₄	—	43	4	no	—
1092	C₂×D₄	—	43	16	no	—
1093	C₂×D₄	—	86	8	no	—
1094	C₂×D₄	—	86	8	no	—
1095	C₂×D₄	—	86	8	no	—
1096	C₂×D₄	—	86	16	no	—
1097	C₂×D₄	—	86	64	no	—
1098	C₂×D₄	—	86	32	no	—
1099	C₂×D₄	—	86	16	no	—
1100	C₂×D₄	—	86	32	no	—
1101	C₂×D₄	—	86	8	no	—
1102	C₂×D₄	—	86	16	no	—
1103	C₂×D₄	—	86	32	no	—
1104	C₂×D₄	—	86	16	no	—
1105	C₂×D₄	—	86	4	no	—
1106	C₂×D₄	—	172	16	no	—
1107	C₂×D₄	—	172	16	no	—
1108	C₂×D₄	—	172	16	no	—
1109	C₂×D₄	D₄×D₄₃	1	8	yes	complemented
1110	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1111	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1112	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1113	C₂×D₄	C₂³×D₄₃	1	2	yes	—
1114	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1115	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1116	C₂²×C₄	—	2	8	no	—
1117	C₂²×C₄	—	2	4	no	—
1118	C₂²×C₄	—	43	16	no	—
1119	C₂²×C₄	—	43	4	no	—
1120	C₂²×C₄	—	43	4	no	—
1121	C₂²×C₄	—	43	1	no	—
1122	C₂²×C₄	—	43	2	no	—
1123	C₂²×C₄	—	43	8	no	—
1124	C₂²×C₄	—	43	2	no	—
1125	C₂²×C₄	—	43	2	no	—
1126	C₂²×C₄	—	43	4	no	—
1127	C₂²×C₄	—	43	2	no	—
1128	C₂²×C₄	—	43	4	no	—
1129	C₂²×C₄	—	43	8	no	—
1130	C₂²×C₄	—	43	2	no	—
1131	C₂²×C₄	—	43	1	no	—
1132	C₂²×C₄	—	43	8	no	—
1133	C₂²×C₄	—	43	4	no	—
1134	C₂²×C₄	—	43	4	no	—
1135	C₂²×C₄	—	43	2	no	—
1136	C₂²×C₄	—	43	4	no	—
1137	C₂²×C₄	—	43	4	no	—
1138	C₂²×C₄	—	43	8	no	—
1139	C₂²×C₄	—	43	4	no	—
1140	C₂²×C₄	—	43	8	no	—
1141	C₂²×C₄	—	43	8	no	—
1142	C₂²×C₄	—	43	4	no	—
1143	C₂²×C₄	—	43	2	no	—
1144	C₂²×C₄	—	43	4	no	—
1145	C₂²×C₄	—	43	8	no	—
1146	C₂²×C₄	—	86	4	no	—
1147	C₂²×C₄	—	86	8	no	—
1148	C₂²×C₄	—	86	8	no	—
1149	C₂²×C₄	—	86	8	no	—
1150	C₂²×C₄	—	86	32	no	—
1151	C₂²×C₄	—	86	32	no	—
1152	C₂²×C₄	—	86	16	no	—
1153	C₂²×C₄	—	86	16	no	—
1154	C₂²×C₄	—	86	16	no	—
1155	C₂²×C₄	—	86	16	no	—
1156	C₂²×C₄	—	86	4	no	—
1157	C₂²×C₄	—	86	4	no	—
1158	C₂²×C₄	—	86	16	no	—
1159	C₂²×C₄	—	86	4	no	—
1160	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1161	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1162	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1163	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1164	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1165	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1166	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1167	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1168	C₄⋊C₄	—	43	8	no	—
1169	C₄⋊C₄	—	43	8	no	—
1170	C₄⋊C₄	—	43	16	no	—
1171	C₄⋊C₄	—	43	4	no	—
1172	C₄⋊C₄	—	43	8	no	—
1173	C₄⋊C₄	—	43	16	no	—
1174	C₄⋊C₄	—	43	8	no	—
1175	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1176	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1177	C₄⋊C₄	C₂³×D₄₃	1	16	yes	—
1178	C₂²⋊C₄	—	43	4	no	—
1179	C₂²⋊C₄	—	43	8	no	—
1180	C₂²⋊C₄	—	43	8	no	—
1181	C₂²⋊C₄	—	43	8	no	—
1182	C₂²⋊C₄	—	43	8	no	—
1183	C₂²⋊C₄	—	43	8	no	—
1184	C₂²⋊C₄	—	43	8	no	—
1185	C₂²⋊C₄	—	43	8	no	—
1186	C₂²⋊C₄	—	43	16	no	—
1187	C₂²⋊C₄	—	43	16	no	—
1188	C₂²⋊C₄	—	43	16	no	—
1189	C₂²⋊C₄	—	43	8	no	—
1190	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1191	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1192	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1193	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1194	C₂²⋊C₄	C₂³×D₄₃	1	16	yes	—
1195	C₄²	—	43	8	no	—
1196	C₄²	—	43	16	no	—
1197	C₄²	—	43	4	no	—
1198	C₄²	C₂³×D₄₃	1	4	yes	—
1199	C₂³	—	2	2	no	—
1200	C₂³	—	2	8	no	—
1201	C₂³	—	4	4	no	—
1202	C₂³	—	4	2	no	—
1203	C₂³	—	4	8	no	—
1204	C₂³	—	43	2	no	—
1205	C₂³	—	43	2	no	—
1206	C₂³	—	43	4	no	—
1207	C₂³	—	43	4	no	—
1208	C₂³	—	43	4	no	—
1209	C₂³	—	86	4	no	—
1210	C₂³	—	86	8	no	—
1211	C₂³	—	86	8	no	—
1212	C₂³	—	86	16	no	—
1213	C₂³	—	86	8	no	—
1214	C₂³	—	86	2	no	—
1215	C₂³	—	86	8	no	—
1216	C₂³	—	86	16	no	—
1217	C₂³	—	86	4	no	—
1218	C₂³	—	172	8	no	—
1219	C₂³	—	172	8	no	—
1220	C₂³	—	172	8	no	—
1221	C₂³	—	172	2	no	—
1222	C₂³	—	172	4	no	—
1223	C₂³	—	172	4	no	—
1224	C₂³	—	172	32	no	—
1225	C₂³	—	172	16	no	—
1226	C₂³	C₂×D₄×D₄₃	1	8	yes	—
1227	C₂³	C₂⁴×D₄₃	1	2	yes	—
1228	C₂³	C₂⁴×D₄₃	1	4	yes	—
1229	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1230	C₂³	C₂⁴×D₄₃	1	4	yes	—
1231	Q₈	—	2	8	no	—
1232	Q₈	—	2	4	no	—
1233	Q₈	—	43	16	no	—
1234	Q₈	—	86	8	no	—
1235	Q₈	—	86	16	no	—
1236	Q₈	—	86	16	no	—
1237	Q₈	—	86	4	no	—
1238	D₄	—	2	8	no	—
1239	D₄	—	2	16	no	—
1240	D₄	—	2	16	no	—
1241	D₄	—	2	4	no	—
1242	D₄	—	4	8	no	—
1243	D₄	—	43	32	no	—
1244	D₄	—	86	8	no	—
1245	D₄	—	86	16	no	—
1246	D₄	—	86	16	no	—
1247	D₄	—	86	8	no	—
1248	D₄	—	86	16	no	—
1249	D₄	—	86	16	no	—
1250	D₄	—	86	8	no	—
1251	D₄	—	86	16	no	—
1252	D₄	—	86	8	no	—
1253	D₄	—	86	16	no	—
1254	D₄	—	86	16	no	—
1255	D₄	—	86	4	no	—
1256	D₄	—	86	8	no	—
1257	D₄	—	172	16	no	—
1258	D₄	—	172	8	no	—
1259	D₄	—	172	16	no	—
1260	D₄	C₂×D₄×D₄₃	1	16	yes	—
1261	C₂×C₄	—	2	2	no	—
1262	C₂×C₄	—	2	4	no	—
1263	C₂×C₄	—	2	16	no	—
1264	C₂×C₄	—	2	8	no	—
1265	C₂×C₄	—	2	8	no	—
1266	C₂×C₄	—	2	8	no	—
1267	C₂×C₄	—	4	8	no	—
1268	C₂×C₄	—	43	4	no	—
1269	C₂×C₄	—	43	16	no	—
1270	C₂×C₄	—	43	8	no	—
1271	C₂×C₄	—	43	16	no	—
1272	C₂×C₄	—	43	1	no	—
1273	C₂×C₄	—	43	4	no	—
1274	C₂×C₄	—	43	1	no	—
1275	C₂×C₄	—	43	8	no	—
1276	C₂×C₄	—	43	8	no	—
1277	C₂×C₄	—	43	8	no	—
1278	C₂×C₄	—	43	2	no	—
1279	C₂×C₄	—	43	4	no	—
1280	C₂×C₄	—	86	4	no	—
1281	C₂×C₄	—	86	4	no	—
1282	C₂×C₄	—	86	16	no	—
1283	C₂×C₄	—	86	16	no	—
1284	C₂×C₄	—	86	8	no	—
1285	C₂×C₄	—	86	8	no	—
1286	C₂×C₄	—	86	8	no	—
1287	C₂×C₄	—	86	16	no	—
1288	C₂×C₄	—	86	8	no	—
1289	C₂×C₄	—	86	8	no	—
1290	C₂×C₄	—	86	4	no	—
1291	C₂×C₄	—	86	8	no	—
1292	C₂×C₄	—	86	4	no	—
1293	C₂×C₄	—	86	16	no	—
1294	C₂×C₄	—	86	2	no	—
1295	C₂×C₄	—	86	8	no	—
1296	C₂×C₄	—	86	8	no	—
1297	C₂×C₄	—	86	8	no	—
1298	C₂×C₄	—	172	8	no	—
1299	C₂×C₄	—	172	8	no	—
1300	C₂×C₄	C₂×D₄×D₄₃	1	4	yes	—
1301	C₂×C₄	C₂⁴×D₄₃	1	8	yes	—
1302	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1303	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1304	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1305	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1306	C₂²	—	2	8	no	—
1307	C₂²	—	2	2	no	—
1308	C₂²	—	2	2	no	—
1309	C₂²	—	2	4	no	—
1310	C₂²	—	2	4	no	—
1311	C₂²	—	2	8	no	—
1312	C₂²	—	4	8	no	—
1313	C₂²	—	4	4	no	—
1314	C₂²	—	8	8	no	—
1315	C₂²	—	43	4	no	—
1316	C₂²	—	43	4	no	—
1317	C₂²	—	86	8	no	—
1318	C₂²	—	86	2	no	—
1319	C₂²	—	86	4	no	—
1320	C₂²	—	86	2	no	—
1321	C₂²	—	86	4	no	—
1322	C₂²	—	86	4	no	—
1323	C₂²	—	86	8	no	—
1324	C₂²	—	86	8	no	—
1325	C₂²	—	344	8	no	—
1326	C₂²	—	344	8	no	—
1327	C₂²	—	172	4	no	—
1328	C₂²	—	172	32	no	—
1329	C₂²	—	172	8	no	—
1330	C₂²	—	172	16	no	—
1331	C₂²	C₂²×D₄×D₄₃	1	2	yes	—
1332	C₂²	C₂²×D₄×D₄₃	1	8	yes	—
1333	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1334	C₄	—	2	2	no	—
1335	C₄	—	2	4	no	—
1336	C₄	—	2	4	no	—
1337	C₄	—	2	8	no	—
1338	C₄	—	43	2	no	—
1339	C₄	—	43	2	no	—
1340	C₄	—	43	8	no	—
1341	C₄	—	86	2	no	—
1342	C₄	—	86	4	no	—
1343	C₄	—	86	8	no	—
1344	C₄	C₂²×D₄×D₄₃	1	4	yes	—
1345	C₂	—	2	2	no	—
1346	C₂	—	2	8	no	—
1347	C₂	—	4	2	no	—
1348	C₂	—	4	4	no	—
1349	C₂	—	86	4	no	—
1350	C₂	—	86	4	no	—
1351	C₂	—	172	4	no	—
1352	C₂	—	172	4	no	—
1353	C₂	C₂³×D₄×D₄₃	1	1	yes	characteristic
1354	C₂	#585×D₄₃	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₄₃
commutator, socle, cosocle	C₂²×C₄₃	C₂⁶
Fitting	C₄₃×#3485	C₂
hypercenter	#3485	D₄₃
hypocenter	C₄₃	#62811
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ #3485

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. #19148269	C₂	semidirect
4. #19148258	C₂	semidirect
5. #19148249	C₂	semidirect
6. #19148244	C₂	semidirect
7. #19148239	C₂	semidirect
8. #19148233	C₂	semidirect
9. #19148231	C₂	semidirect
10. #19148227	C₂	semidirect
11. #19148226	C₂	semidirect
12. #19148082	C₂	semidirect
13. #19148079	C₂	semidirect
14. #19147927	C₂	semidirect
15. #19147921	C₂	semidirect
16. C₂×#14583407	C₂	semidirect
17. #525×D₄₃	C₂	semidirect
18. #19147793	C₂	semidirect
19. C₄₃×#3485	C₂	semidirect
21. C₂×#13063372	C₂²	semidirect
22. C₂×#13063372	C₂²	semidirect
23. C₂×#13063370	C₂²	semidirect
24. C₂×#13063370	C₂²	semidirect
25. C₂×#13063370	C₂²	semidirect
26. C₂²×#10621902	C₂²	semidirect
27. C₂²×#10621898	C₂²	semidirect
28. C₂²×#10621898	C₂²	semidirect
30. C₂²×#10621900	C₂²	semidirect
31. C₂²×#10621900	C₂²	semidirect
32. C₂²×#10621900	C₂²	semidirect
34. C₂×#41×D₄₃	C₂²	semidirect
35. C₂×#41×D₄₃	C₂²	semidirect
36. C₂×#41×D₄₃	C₂²	semidirect
37. C₂×#41×D₄₃	C₂²	semidirect
38. C₂²×Q₈×D₄₃	C₂²	semidirect
39. C₂²×D₄×D₄₃	C₂²	semidirect
40. C₂²×D₄×D₄₃	C₂²	semidirect
41. C₂³×C₄×D₄₃	C₂²	semidirect
42. C₂³×C₄×D₄₃	C₂²	semidirect
43. #14583570	C₂²	semidirect
44. #14583567	C₂²	semidirect
45. #14583564	C₂²	semidirect
46. #14583562	C₂²	semidirect
47. #14583559	C₂²	semidirect
48. #14583559	C₂²	semidirect
49. #14583558	C₂²	semidirect
50. #14583557	C₂²	semidirect
51. #14583550	C₂²	semidirect
52. #14583548	C₂²	semidirect
53. #14583547	C₂²	semidirect
54. #14583544	C₂²	semidirect
55. #14583541	C₂²	semidirect
56. #14583541	C₂²	semidirect
57. #14583539	C₂²	semidirect
58. #14583538	C₂²	semidirect
59. #14583537	C₂²	semidirect
60. #14583537	C₂²	semidirect
61. D₄×D₁₇₂	C₂²	semidirect
62. #14583533	C₂²	semidirect
63. D₄×C₂²⋊D₄₃	C₂²	semidirect
64. #14583531	C₂²	semidirect
65. #14583479	C₂²	semidirect
66. #14583476	C₂²	semidirect
67. #14583474	C₂²	semidirect
68. #14583473	C₂²	semidirect
69. #14583471	C₂²	semidirect
70. #14583471	C₂²	semidirect
71. #14583468	C₂²	semidirect
72. #14583467	C₂²	semidirect
73. #14583464	C₂²	semidirect
74. #14583464	C₂²	semidirect
75. #14583463	C₂²	semidirect
76. #14583461	C₂²	semidirect
77. #14583460	C₂²	semidirect
78. #14583458	C₂²	semidirect
79. #14583458	C₂²	semidirect
80. #14583450	C₂²	semidirect
81. #14583448	C₂²	semidirect
82. #14583444	C₂²	semidirect
83. #14583412	C₂²	semidirect
84. #14583412	C₂²	semidirect
85. #14583411	C₂²	semidirect
86. #14583410	C₂²	semidirect
87. #14583409	C₂²	semidirect
88. #14583408	C₂²	semidirect
89. #14583407	C₂²	semidirect
90. #14583407	C₂²	semidirect
91. #14583407	C₂²	semidirect
92. #14583407	C₂²	semidirect
93. #14583407	C₂²	semidirect
94. #14583407	C₂²	semidirect
95. #14583407	C₂²	semidirect
96. #14583406	C₂²	semidirect
97. #14583405	C₂²	semidirect
98. #14583405	C₂²	semidirect
99. C₂×#13063308	C₂²	semidirect
100. #123×D₄₃	C₂²	semidirect
101. C₂×#13063303	C₂²	semidirect
102. C₂²⋊Q₈×D₄₃	C₂²	semidirect
103. C₂×#13063298	C₂²	semidirect
104. #121×D₄₃	C₂²	semidirect
105. C₂×#13063295	C₂²	semidirect
106. C₂×#13063293	C₂²	semidirect
107. #120×D₄₃	C₂²	semidirect
108. #14583378	C₂²	semidirect
109. #14583376	C₂²	semidirect
110. #14583374	C₂²	semidirect
111. #14583372	C₂²	semidirect
112. C₄×#10621900	C₂²	semidirect
113. C₂×#13063287	C₂²	semidirect
114. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
115. C₄×D₄×D₄₃	C₂²	semidirect
116. C₂×#13063281	C₂²	semidirect
117. #117×D₄₃	C₂²	semidirect
118. C₂×H(5,𝔽₂)×C₄₃	C₂²	semidirect
119. C₂²×#41×C₄₃	C₂²	semidirect
120. C₄₃×#547	C₂²	semidirect
121. C₄₃×#546	C₂²	semidirect
122. C₄₃×#536	C₂²	semidirect
123. C₄₃×#534	C₂²	semidirect
124. C₄₃×#525	C₂²	semidirect
125. C₂×#123×C₄₃	C₂²	semidirect
126. C₄₃×#518	C₂²	semidirect
137. C₂×#10621902	C₂³	semidirect
143. C₂×#10621898	C₂³	semidirect
144. C₂×#10621898	C₂³	semidirect
145. C₂×#10621898	C₂³	semidirect
149. C₂×#10621900	D₄	semidirect
156. C₂×#10621900	C₂³	semidirect
157. C₂×#10621900	C₂³	semidirect
158. C₂×#10621900	C₂³	semidirect
159. C₂×#10621900	C₂³	semidirect
160. C₂×#10621900	C₂³	semidirect
161. C₂×#10621900	C₂³	semidirect
168. C₂²×Dic₈₆	C₂³	semidirect
169. C₂²×Dic₈₆	C₂³	semidirect
172. C₂×Q₈×D₄₃	C₂³	semidirect
173. C₂×Q₈×D₄₃	C₂³	semidirect
182. C₂²×C₂²⋊D₄₃	C₂³	semidirect
183. C₂²×C₂²⋊D₄₃	C₂³	semidirect
190. C₂×D₄×D₄₃	C₂³	semidirect
191. C₂×D₄×D₄₃	C₂³	semidirect
192. C₂×D₄×D₄₃	C₂³	semidirect
195. C₂³×Dic₄₃	C₂³	semidirect
209. C₂²×C₄×D₄₃	C₂³	semidirect
210. C₂²×C₄×D₄₃	C₂³	semidirect
211. #13063324	C₂³	semidirect
212. #13063323	C₂³	semidirect
213. #13063322	C₂³	semidirect
214. #13063321	C₂³	semidirect
215. #13063321	C₂³	semidirect
216. #13063314	C₂³	semidirect
217. #13063314	C₂³	semidirect
218. #13063313	C₂³	semidirect
219. #13063311	C₂³	semidirect
220. #13063311	C₂³	semidirect
221. #13063310	C₂³	semidirect
222. #13063310	C₂³	semidirect
224. #13063309	C₂³	semidirect
227. #13063308	C₂³	semidirect
228. #13063308	C₂³	semidirect
229. #13063307	C₂³	semidirect
231. #13063306	C₂³	semidirect
233. #13063304	C₂³	semidirect
236. #13063303	C₂³	semidirect
237. #13063303	C₂³	semidirect
238. #13063303	C₂³	semidirect
239. #13063302	C₂³	semidirect
240. #13063302	C₂³	semidirect
242. #13063301	C₂³	semidirect
244. #13063300	C₂³	semidirect
245. #13063300	C₂³	semidirect
246. #13063299	C₂³	semidirect
247. #13063299	C₂³	semidirect
248. #13063299	C₂³	semidirect
251. #13063298	C₂³	semidirect
252. #13063298	C₂³	semidirect
253. #13063298	C₂³	semidirect
254. #13063298	C₂³	semidirect
255. #13063297	C₂³	semidirect
256. #13063297	C₂³	semidirect
257. #13063297	C₂³	semidirect
258. #13063297	C₂³	semidirect
264. #13063295	C₂³	semidirect
265. #13063295	C₂³	semidirect
267. #13063294	C₂³	semidirect
272. #13063293	C₂³	semidirect
273. C₄×Dic₈₆	C₂³	semidirect
274. #13063290	C₂³	semidirect
276. D₄×Dic₄₃	C₂³	semidirect
277. D₄×Dic₄₃	C₂³	semidirect
280. #13063287	C₂³	semidirect
281. #13063287	C₂³	semidirect
283. C₄×C₂²⋊D₄₃	C₂³	semidirect
284. C₄×C₂²⋊D₄₃	C₂³	semidirect
287. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
288. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
289. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
290. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
292. #13063283	C₂³	semidirect
293. #13063282	C₂³	semidirect
296. #13063281	C₂³	semidirect
297. #13063281	C₂³	semidirect
298. C₂×Dic₄₃⋊C₄	C₂³	semidirect
299. C₂×Dic₄₃⋊C₄	C₂³	semidirect
300. C₄⋊C₄×D₄₃	C₂³	semidirect
301. C₄⋊C₄×D₄₃	C₂³	semidirect
305. C₂×(C₂×D₄₃)⋊C₄	C₂³	semidirect
308. C₂²⋊C₄×D₄₃	C₂³	semidirect
309. C₂×C₄×Dic₄₃	C₂³	semidirect
310. C₄²×D₄₃	C₂³	semidirect
315. C₂×#41×C₄₃	C₂³	semidirect
320. C₂²×D₄×C₄₃	C₂³	semidirect
323. C₄⋊Q₈×C₄₃	C₂³	semidirect
324. #124×C₄₃	C₂³	semidirect
327. #123×C₄₃	C₂³	semidirect
328. #123×C₄₃	C₂³	semidirect
329. C₂²⋊Q₈×C₄₃	C₂³	semidirect
330. C₂²⋊Q₈×C₄₃	C₂³	semidirect
331. #121×C₄₃	C₂³	semidirect
332. #121×C₄₃	C₂³	semidirect
334. #120×C₄₃	C₂³	semidirect
335. C₄×D₄×C₄₃	C₂³	semidirect
336. C₄×D₄×C₄₃	C₂³	semidirect
338. C₂×C₄⋊C₄×C₄₃	C₂³	semidirect
340. C₂×C₂²⋊C₄×C₄₃	C₂³	semidirect
364. C₂×D₄×C₄₃	C₂×D₄	semidirect
387. C₂×C₂²⋊D₄₃	C₂×D₄	semidirect
401. C₂²×Dic₄₃	C₂×D₄	semidirect
429. #10621900	C₂×D₄	semidirect
430. #10621900	C₂×D₄	semidirect
465. C₂×C₄×D₄₃	C₂×D₄	semidirect
484. C₂×Dic₈₆	C₂×D₄	semidirect
656. C₂×D₄₃	#585	semidirect
676. #3485	D₄₃	semidirect
703. C₂×H(5,𝔽₂)	C₂×D₄₃	semidirect
716. C₂²×#41	C₂×D₄₃	semidirect
733. #547	C₂×D₄₃	semidirect
741. #546	C₂×D₄₃	semidirect
752. #536	C₂×D₄₃	semidirect
762. #534	C₂×D₄₃	semidirect
782. #525	C₂×D₄₃	semidirect
785. C₂×#123	C₂×D₄₃	semidirect
797. #518	C₂×D₄₃	semidirect
804. C₄₃	#62811	semidirect
848. C₂×#41	C₂²×D₄₃	semidirect
880. C₂²×D₄	C₂²×D₄₃	semidirect
903. C₄⋊Q₈	C₂²×D₄₃	semidirect
912. #124	C₂²×D₄₃	semidirect
926. #123	C₂²×D₄₃	semidirect
927. #123	C₂²×D₄₃	semidirect
939. C₂²⋊Q₈	C₂²×D₄₃	semidirect
940. C₂²⋊Q₈	C₂²×D₄₃	semidirect
958. #121	C₂²×D₄₃	semidirect
959. #121	C₂²×D₄₃	semidirect
974. #120	C₂²×D₄₃	semidirect
993. C₄×D₄	C₂²×D₄₃	semidirect
994. C₄×D₄	C₂²×D₄₃	semidirect
1007. C₂×C₄⋊C₄	C₂²×D₄₃	semidirect
1016. C₂×C₂²⋊C₄	C₂²×D₄₃	semidirect
1109. C₂×D₄	D₄×D₄₃	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
#19148269	2
#19148258	2
#19148249	2
#19148244	2
#19148239	2
#19148233	2
#19148231	2
#19148227	2
#19148226	2
#19148082	2
#19148079	2
#19147927	2
#19147921	2
C₂×#14583407	2
#525×D₄₃	2
#19147793	2
C₄₃×#3485	2
#62811	43