Subgroups — #26005312

Order 11008.

7330 conjugacy classes of subgroups.

The subgroup lattice has 1008 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19149154	C₂	1	8	yes	maximal, complemented
2	#19149109	C₂	1	8	yes	maximal, complemented
3	#19148944	C₂	1	8	yes	maximal, complemented
4	#19148553	C₂	1	8	yes	maximal, complemented
5	#19148547	C₂	1	8	yes	maximal, complemented
6	#19148490	C₂	1	2	yes	maximal, complemented
7	#19148486	C₂	1	2	yes	maximal, complemented
8	#19148387	C₂	1	2	yes	maximal, complemented
9	#19148383	C₂	1	2	yes	maximal, complemented
10	#19148282	C₂	1	8	yes	maximal, complemented
11	#19148242	C₂	1	2	yes	maximal, complemented
12	#19148230	C₂	1	1	yes	maximal, characteristic, complemented
13	#19147887	C₂	1	2	yes	maximal, complemented
14	C₂²×#13063312	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₃×#3484	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#13063372	C₂²	1	2	yes	complemented
17	C₂×#13063370	C₂²	1	1	yes	characteristic, complemented
18	C₂³×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
19	#14583652	C₂²	1	8	yes	complemented
20	#14583644	C₂²	1	16	yes	complemented
21	#14583642	C₂²	1	8	yes	complemented
22	#14583635	C₂²	1	8	yes	complemented
23	#14583632	C₂²	1	8	yes	complemented
24	#14583619	C₂²	1	8	yes	complemented
25	#14583618	C₂²	1	8	yes	complemented
26	#14583613	C₂²	1	16	yes	complemented
27	#14583580	C₂²	1	16	yes	complemented
28	#14583580	C₂²	1	16	yes	complemented
29	#14583580	C₂²	1	8	yes	complemented
30	#14583577	C₂²	1	8	yes	complemented
31	#14583575	C₂²	1	16	yes	complemented
32	#14583575	C₂²	1	16	yes	complemented
33	D₄×Dic₈₆	C₂²	1	8	yes	complemented
34	#14583562	C₂²	1	8	yes	complemented
35	#14583558	C₂²	1	8	yes	complemented
36	#14583556	C₂²	1	8	yes	complemented
37	#14583555	C₂²	1	8	yes	complemented
38	#14583555	C₂²	1	8	yes	complemented
39	#14583546	C₂²	1	8	yes	complemented
40	#14583543	C₂²	1	8	yes	complemented
41	#14583543	C₂²	1	16	yes	complemented
42	#14583543	C₂²	1	16	yes	complemented
43	#14583543	C₂²	1	8	yes	complemented
44	#14583536	C₂²	1	16	yes	complemented
45	#14583536	C₂²	1	16	yes	complemented
46	D₄×C₂²⋊D₄₃	C₂²	1	8	yes	complemented
47	#14583525	C₂²	1	8	yes	complemented
48	#14583517	C₂²	1	16	yes	complemented
49	#14583516	C₂²	1	8	yes	complemented
50	#14583516	C₂²	1	16	yes	complemented
51	#14583514	C₂²	1	8	yes	complemented
52	#14583484	C₂²	1	16	yes	complemented
53	#14583484	C₂²	1	16	yes	complemented
54	#14583484	C₂²	1	16	yes	complemented
55	#14583481	C₂²	1	16	yes	complemented
56	#14583475	C₂²	1	2	yes	complemented
57	#14583471	C₂²	1	8	yes	complemented
58	#14583470	C₂²	1	2	yes	complemented
59	#14583470	C₂²	1	4	yes	complemented
60	#14583469	C₂²	1	4	yes	complemented
61	#14583466	C₂²	1	2	yes	—
62	#14583466	C₂²	1	4	yes	complemented
63	#14583462	C₂²	1	4	yes	complemented
64	#14583458	C₂²	1	4	yes	complemented
65	#14583458	C₂²	1	8	yes	complemented
66	#14583452	C₂²	1	2	yes	complemented
67	#14583451	C₂²	1	4	yes	complemented
68	#14583447	C₂²	1	4	yes	complemented
69	#14583445	C₂²	1	2	yes	complemented
70	#14583445	C₂²	1	4	yes	complemented
71	#14583444	C₂²	1	4	yes	complemented
72	#14583435	C₂²	1	4	yes	complemented
73	#14583431	C₂²	1	8	yes	complemented
74	#14583430	C₂²	1	4	yes	complemented
75	#14583430	C₂²	1	8	yes	complemented
76	#14583429	C₂²	1	8	yes	complemented
77	#14583426	C₂²	1	8	yes	complemented
78	C₂×#13063312	C₂²	1	8	yes	complemented
79	C₂×#13063312	C₂²	1	8	yes	complemented
80	C₂×#13063312	C₂²	1	2	yes	complemented
81	C₂×#13063312	C₂²	1	2	yes	complemented
82	C₂×#13063312	C₂²	1	4	yes	complemented
83	C₂×#13063312	C₂²	1	4	yes	complemented
84	#124×D₄₃	C₂²	1	4	yes	complemented
85	#14583410	C₂²	1	2	yes	complemented
86	#14583405	C₂²	1	8	yes	complemented
87	#14583405	C₂²	1	8	yes	complemented
88	C₂×#13063294	C₂²	1	4	yes	complemented
89	#14583376	C₂²	1	2	yes	complemented
90	#14583374	C₂²	1	1	yes	characteristic, complemented
91	#14583374	C₂²	1	8	yes	complemented
92	#14583372	C₂²	1	8	yes	complemented
93	#41×Dic₄₃	C₂²	1	2	yes	complemented
94	#14583367	C₂²	1	2	yes	complemented
95	C₄×#10621900	C₂²	1	8	yes	complemented
96	C₂²×C₂²⋊Dic₄₃	C₂²	1	4	yes	complemented
97	C₂²×C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
98	C₂×H(5,𝔽₂)×C₄₃	C₂²	1	1	yes	characteristic, complemented
99	C₂³×D₄×C₄₃	C₂²	1	1	yes	characteristic
100	C₄₃×#546	C₂²	1	8	yes	complemented
101	D₄²×C₄₃	C₂²	1	8	yes	complemented
102	C₄₃×#535	C₂²	1	2	yes	—
103	C₄₃×#534	C₂²	1	4	yes	complemented
104	C₄₃×#525	C₂²	1	2	yes	complemented
105	C₂×#120×C₄₃	C₂²	1	4	yes	complemented
106	C₄₃×#518	C₂²	1	1	yes	characteristic, complemented
107	#13063372	—	4	8	no	—
108	#13063370	—	4	4	no	—
109	C₂×#10621898	C₂³	1	2	yes	—
110	C₂×#10621898	C₂³	1	4	yes	complemented
111	C₂×#10621900	C₂³	1	4	yes	—
112	C₂×#10621900	C₂³	1	8	yes	—
113	C₂×#10621900	C₂³	1	8	yes	—
114	C₂×#10621900	C₂³	1	4	yes	complemented
115	C₂²×Dic₈₆	—	4	4	no	—
116	C₂²×Dic₈₆	C₂³	1	2	yes	—
117	C₂²×Dic₈₆	C₂³	1	8	yes	—
118	C₂²×Dic₈₆	C₂³	1	2	yes	—
119	C₂²×Dic₈₆	C₂³	1	4	yes	complemented
120	C₂×Q₈×D₄₃	C₂³	1	4	yes	complemented
121	C₂²×C₂²⋊D₄₃	C₂³	1	8	yes	—
122	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
123	C₂×D₄×D₄₃	C₂³	1	4	yes	—
124	C₂³×Dic₄₃	C₂³	1	2	yes	—
125	C₂³×Dic₄₃	C₂³	1	2	yes	—
126	#13063325	C₂³	1	4	yes	complemented
127	#13063324	C₂³	1	16	yes	complemented
128	#13063324	C₂³	1	4	yes	complemented
129	#13063323	C₂³	1	4	yes	complemented
130	#13063323	C₂³	1	2	yes	complemented
131	#13063321	C₂³	1	4	yes	—
132	#13063321	C₂³	1	2	yes	complemented
133	#13063320	C₂³	1	8	yes	complemented
134	#13063318	C₂³	1	16	yes	complemented
135	#13063318	C₂³	1	16	yes	complemented
136	#13063318	C₂³	1	16	yes	complemented
137	#13063318	C₂³	1	16	yes	complemented
138	#13063318	C₂³	1	8	yes	complemented
139	#13063316	C₂³	1	4	yes	complemented
140	#13063315	C₂³	1	8	yes	complemented
141	#13063314	C₂³	1	2	yes	complemented
142	#13063313	C₂³	1	4	yes	complemented
143	#13063312	C₂³	1	8	yes	—
144	#13063312	C₂³	1	8	yes	—
145	#13063312	C₂³	1	8	yes	—
146	#13063312	C₂³	1	4	yes	—
147	#13063312	C₂³	1	8	yes	—
148	#13063312	C₂³	1	4	yes	—
149	#13063312	C₂³	1	4	yes	—
150	#13063312	C₂³	1	4	yes	—
151	#13063312	C₂³	1	4	yes	—
152	#13063312	C₂³	1	16	yes	—
153	#13063312	C₂³	1	4	yes	complemented
154	#13063312	C₂³	1	16	yes	complemented
155	#13063312	C₂³	1	16	yes	complemented
156	#13063312	C₂³	1	2	yes	complemented
157	#13063311	C₂³	1	16	yes	complemented
158	#13063311	C₂³	1	16	yes	complemented
159	#13063311	C₂³	1	16	yes	complemented
160	#13063311	C₂³	1	8	yes	complemented
161	#13063309	C₂³	1	8	yes	—
162	#13063309	C₂³	1	8	yes	—
163	#13063308	C₂³	1	4	yes	—
164	#13063308	C₂³	1	16	yes	complemented
165	#13063307	C₂³	1	16	yes	complemented
166	#13063307	C₂³	1	16	yes	complemented
167	#13063306	C₂³	1	8	yes	—
168	#13063306	C₂³	1	8	yes	—
169	#13063306	C₂³	1	8	yes	—
170	#13063306	C₂³	1	16	yes	complemented
171	#13063306	C₂³	1	16	yes	complemented
172	#13063306	C₂³	1	16	yes	complemented
173	#13063305	C₂³	1	8	yes	complemented
174	#13063304	C₂³	1	4	yes	—
175	#13063304	C₂³	1	8	yes	complemented
176	#13063304	C₂³	1	16	yes	complemented
177	#13063304	C₂³	1	16	yes	complemented
178	#13063303	C₂³	1	16	yes	complemented
179	#13063302	C₂³	1	16	yes	—
180	#13063302	C₂³	1	8	yes	—
181	#13063302	C₂³	1	8	yes	—
182	#13063302	C₂³	1	16	yes	complemented
183	#13063302	C₂³	1	16	yes	complemented
184	#13063302	C₂³	1	16	yes	complemented
185	#13063299	C₂³	1	4	yes	—
186	#13063297	C₂³	1	16	yes	—
187	#13063297	C₂³	1	16	yes	—
188	#13063297	C₂³	1	8	yes	—
189	#13063297	C₂³	1	8	yes	—
190	#13063297	C₂³	1	16	yes	complemented
191	#13063297	C₂³	1	16	yes	complemented
192	#13063296	C₂³	1	8	yes	—
193	#13063296	C₂³	1	16	yes	complemented
194	#13063296	C₂³	1	16	yes	complemented
195	#13063294	C₂³	1	8	yes	—
196	#13063294	C₂³	1	16	yes	—
197	#13063294	C₂³	1	4	yes	—
198	#13063294	C₂³	1	16	yes	complemented
199	#13063293	C₂³	1	8	yes	—
200	#13063293	C₂³	1	16	yes	complemented
201	Q₈×Dic₄₃	C₂³	1	4	yes	complemented
202	C₄×Dic₈₆	C₂³	1	8	yes	complemented
203	C₄×Dic₈₆	C₂³	1	8	yes	complemented
204	#13063290	C₂³	1	4	yes	complemented
205	#13063290	C₂³	1	8	yes	complemented
206	#13063290	C₂³	1	8	yes	complemented
207	D₄×Dic₄₃	C₂³	1	16	yes	—
208	D₄×Dic₄₃	C₂³	1	8	yes	—
209	D₄×Dic₄₃	C₂³	1	8	yes	—
210	D₄×Dic₄₃	C₂³	1	8	yes	—
211	D₄×Dic₄₃	C₂³	1	16	yes	complemented
212	D₄×Dic₄₃	C₂³	1	16	yes	complemented
213	D₄×Dic₄₃	C₂³	1	4	yes	complemented
214	#13063287	C₂³	1	4	yes	complemented
215	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	—
216	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
217	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
218	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
219	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	—
220	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
221	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
222	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	complemented
223	#13063284	C₂³	1	2	yes	—
224	#13063284	C₂³	1	16	yes	complemented
225	#13063284	C₂³	1	4	yes	complemented
226	#13063283	C₂³	1	8	yes	complemented
227	#13063282	C₂³	1	4	yes	complemented
228	#13063281	C₂³	1	8	yes	—
229	#13063281	C₂³	1	8	yes	—
230	#13063281	C₂³	1	8	yes	complemented
231	#13063281	C₂³	1	16	yes	complemented
232	C₂×C₂²⋊Dic₄₃	C₂³	1	8	yes	—
233	C₂×C₂²⋊Dic₄₃	C₂³	1	16	yes	—
234	C₂×C₂²⋊Dic₄₃	C₂³	1	4	yes	—
235	C₂×C₂²⋊Dic₄₃	C₂³	1	8	yes	—
236	C₂×C₂²⋊Dic₄₃	C₂³	1	8	yes	—
237	C₂×C₂²⋊Dic₄₃	C₂³	1	8	yes	—
238	C₂×C₂²⋊Dic₄₃	C₂³	1	8	yes	—
239	C₂×C₂²⋊Dic₄₃	C₂³	1	16	yes	complemented
240	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	complemented
241	C₂×C₄×Dic₄₃	C₂³	1	4	yes	—
242	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
243	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
244	C₂×C₄×Dic₄₃	C₂³	1	4	yes	—
245	C₂×C₄×Dic₄₃	C₂³	1	4	yes	complemented
246	C₄²×D₄₃	C₂³	1	4	yes	complemented
247	C₂⁵×C₄₃	C₂³	1	2	yes	—
248	H(5,𝔽₂)×C₄₃	—	4	4	no	—
249	C₂×#41×C₄₃	C₂³	1	2	yes	—
250	C₂×#41×C₄₃	C₂³	1	4	yes	—
251	C₂²×D₄×C₄₃	—	4	4	no	—
252	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
253	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
254	C₂²×D₄×C₄₃	C₂³	1	4	yes	—
255	C₂²×D₄×C₄₃	C₂³	1	8	yes	—
256	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
257	C₂²×D₄×C₄₃	C₂³	1	4	yes	—
258	C₂²×D₄×C₄₃	C₂³	1	8	yes	—
259	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
260	#127×C₄₃	C₂³	1	4	yes	—
261	#124×C₄₃	C₂³	1	4	yes	—
262	#123×C₄₃	C₂³	1	8	yes	—
263	#123×C₄₃	C₂³	1	4	yes	—
264	C₂²⋊Q₈×C₄₃	C₂³	1	4	yes	—
265	#121×C₄₃	C₂³	1	4	yes	—
266	#121×C₄₃	C₂³	1	8	yes	—
267	#121×C₄₃	C₂³	1	16	yes	—
268	#120×C₄₃	C₂³	1	4	yes	—
269	#120×C₄₃	C₂³	1	8	yes	—
270	#120×C₄₃	C₂³	1	16	yes	—
271	#120×C₄₃	C₂³	1	8	yes	—
272	C₄×D₄×C₄₃	C₂³	1	8	yes	—
273	C₄×D₄×C₄₃	C₂³	1	8	yes	—
274	#117×C₄₃	C₂³	1	2	yes	—
275	C₂×C₂²⋊C₄×C₄₃	C₂³	1	4	yes	—
276	C₂×C₂²⋊C₄×C₄₃	C₂³	1	8	yes	—
277	C₂⁴×C₄₃	—	4	4	no	—
278	C₂⁴×C₄₃	—	4	8	no	—
279	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
280	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
281	C₂⁴×C₄₃	C₂⁴	1	8	yes	—
282	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
283	C₂⁴×C₄₃	C₂⁴	1	4	yes	—
284	C₂³×D₄₃	C₂⁴	1	4	yes	—
285	#41×C₄₃	—	2	8	no	—
286	#41×C₄₃	—	4	8	no	—
287	C₂×Q₈×C₄₃	C₂⁴	1	2	yes	—
288	C₂×D₄×C₄₃	—	2	4	no	—
289	C₂×D₄×C₄₃	—	2	4	no	—
290	C₂×D₄×C₄₃	—	4	4	no	—
291	C₂×D₄×C₄₃	—	4	16	no	—
292	C₂×D₄×C₄₃	—	4	8	no	—
293	C₂×D₄×C₄₃	—	4	16	no	—
294	C₂×D₄×C₄₃	—	4	8	no	—
295	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
296	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
297	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
298	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
299	C₂×D₄×C₄₃	C₂⁴	1	2	yes	—
300	C₂×D₄×C₄₃	C₂⁴	1	16	yes	—
301	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
302	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
303	C₂²×C₄×C₄₃	—	2	4	no	—
304	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
305	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
306	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
307	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
308	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
309	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
310	C₂×C₂²⋊D₄₃	—	4	16	no	—
311	C₂×C₂²⋊D₄₃	—	4	8	no	—
312	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
313	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
314	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
315	C₂×C₂²⋊D₄₃	C₂⁴	1	16	yes	—
316	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
317	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
318	C₂²×Dic₄₃	—	4	4	no	—
319	C₂²×Dic₄₃	—	4	4	no	—
320	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
321	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
322	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
323	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
324	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
325	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
326	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
327	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
328	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
329	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
330	Q₈×D₄₃	—	4	8	no	—
331	#10621900	—	4	8	no	—
332	#10621900	—	4	8	no	—
333	#10621900	—	4	16	no	—
334	#10621900	—	4	16	no	—
335	D₄×D₄₃	—	4	8	no	—
336	#10621898	—	2	8	no	—
337	#10621898	—	4	8	no	—
338	C₂×D₁₇₂	C₂⁴	1	2	yes	—
339	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
340	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
341	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
342	C₂×Dic₈₆	—	2	8	no	—
343	C₂×Dic₈₆	—	4	16	no	—
344	C₂×Dic₈₆	—	4	8	no	—
345	C₂×Dic₈₆	—	4	4	no	—
346	C₂×Dic₈₆	C₂⁴	1	2	yes	—
347	C₂×Dic₈₆	C₂⁴	1	4	yes	—
348	C₂×Dic₈₆	C₂⁴	1	4	yes	—
349	C₂×Dic₈₆	C₂⁴	1	8	yes	—
350	C₂×Dic₈₆	C₂⁴	1	8	yes	—
351	C₂×Dic₈₆	C₂⁴	1	8	yes	—
352	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
353	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
354	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
355	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
356	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
357	C₂²⋊C₄×C₄₃	C₂⁴	1	16	yes	—
358	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
359	C₄²×C₄₃	C₂⁴	1	4	yes	—
360	C₂²⋊Dic₄₃	C₂⁴	1	16	yes	—
361	C₂²⋊Dic₄₃	C₂⁴	1	16	yes	—
362	C₂²⋊Dic₄₃	C₂⁴	1	16	yes	—
363	C₂²⋊Dic₄₃	C₂⁴	1	16	yes	—
364	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
365	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
366	C₂²⋊Dic₄₃	C₂⁴	1	16	yes	—
367	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
368	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
369	C₂²⋊Dic₄₃	C₂⁴	1	16	yes	—
370	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
371	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
372	(C₂×D₄₃)⋊C₄	C₂⁴	1	16	yes	—
373	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
374	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
375	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
376	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
377	C₄⋊Dic₄₃	C₂⁴	1	16	yes	—
378	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
379	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
380	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
381	Dic₄₃⋊C₄	C₂⁴	1	16	yes	—
382	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
383	Dic₄₃⋊C₄	C₂⁴	1	16	yes	—
384	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
385	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
386	C₄×Dic₄₃	C₂⁴	1	2	yes	—
387	C₄×Dic₄₃	C₂⁴	1	8	yes	—
388	C₄×Dic₄₃	C₂⁴	1	2	yes	—
389	C₄×Dic₄₃	C₂⁴	1	2	yes	—
390	C₄×Dic₄₃	C₂⁴	1	4	yes	—
391	C₄×Dic₄₃	C₂⁴	1	4	yes	—
392	C₄×Dic₄₃	C₂⁴	1	2	yes	—
393	C₄×Dic₄₃	C₂⁴	1	8	yes	—
394	C₄×Dic₄₃	C₂⁴	1	4	yes	—
395	C₄×Dic₄₃	C₂⁴	1	16	yes	—
396	C₂³×C₄₃	—	2	2	no	—
397	C₂³×C₄₃	—	2	4	no	—
398	C₂³×C₄₃	—	2	4	no	—
399	C₂³×C₄₃	—	2	4	no	—
400	C₂³×C₄₃	—	2	16	no	—
401	C₂³×C₄₃	—	4	8	no	—
402	C₂³×C₄₃	—	4	4	no	—
403	C₂³×C₄₃	—	4	8	no	—
404	C₂³×C₄₃	—	4	4	no	—
405	C₂³×C₄₃	—	4	4	no	—
406	C₂³×C₄₃	—	4	8	no	—
407	C₂³×C₄₃	—	8	16	no	—
408	C₂³×C₄₃	C₂⁵	1	4	yes	—
409	C₂³×C₄₃	C₂⁵	1	4	yes	—
410	C₂³×C₄₃	C₂⁵	1	4	yes	—
411	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
412	C₂³×C₄₃	C₂⁵	1	2	yes	—
413	C₂²×D₄₃	—	4	4	no	—
414	C₂²×D₄₃	—	4	8	no	—
415	C₂²×D₄₃	C₂⁵	1	4	yes	—
416	Q₈×C₄₃	—	2	4	no	—
417	D₄×C₄₃	—	2	8	no	—
418	D₄×C₄₃	—	2	16	no	—
419	D₄×C₄₃	—	2	8	no	—
420	D₄×C₄₃	—	2	4	no	—
421	D₄×C₄₃	—	2	8	no	—
422	D₄×C₄₃	—	4	8	no	—
423	D₄×C₄₃	—	4	8	no	—
424	D₄×C₄₃	—	4	16	no	—
425	C₂×C₄×C₄₃	—	2	2	no	—
426	C₂×C₄×C₄₃	—	2	8	no	—
427	C₂×C₄×C₄₃	—	2	8	no	—
428	C₂×C₄×C₄₃	—	4	8	no	—
429	C₂×C₄×C₄₃	—	4	4	no	—
430	C₂×C₄×C₄₃	H(5,𝔽₂)	1	4	yes	—
431	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
432	C₂×C₄×C₄₃	C₂⁵	1	8	yes	—
433	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
434	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
435	C₂²⋊D₄₃	—	2	8	no	—
436	C₂²⋊D₄₃	—	2	16	no	—
437	C₂²⋊D₄₃	—	4	8	no	—
438	C₂²⋊D₄₃	—	4	8	no	—
439	C₂²⋊D₄₃	—	4	8	no	—
440	C₂²⋊D₄₃	—	4	16	no	—
441	C₂×Dic₄₃	—	2	8	no	—
442	C₂×Dic₄₃	—	2	8	no	—
443	C₂×Dic₄₃	—	4	8	no	—
444	C₂×Dic₄₃	—	4	8	no	—
445	C₂×Dic₄₃	—	4	4	no	—
446	C₂×Dic₄₃	—	4	8	no	—
447	C₂×Dic₄₃	—	4	2	no	—
448	C₂×Dic₄₃	—	4	4	no	—
449	C₂×Dic₄₃	—	4	2	no	—
450	C₂×Dic₄₃	—	4	8	no	—
451	C₂×Dic₄₃	C₂⁵	1	4	yes	—
452	C₂×Dic₄₃	C₂⁵	1	8	yes	—
453	C₂×Dic₄₃	C₂⁵	1	4	yes	—
454	C₂×Dic₄₃	C₂⁵	1	4	yes	—
455	C₂×Dic₄₃	C₂⁵	1	8	yes	—
456	D₁₇₂	—	2	4	no	—
457	C₄×D₄₃	—	2	8	no	—
458	C₄×D₄₃	—	4	8	no	—
459	C₄×D₄₃	—	4	8	no	—
460	Dic₈₆	—	2	8	no	—
461	Dic₈₆	—	2	8	no	—
462	Dic₈₆	—	2	4	no	—
463	Dic₈₆	—	4	8	no	—
464	Dic₈₆	—	4	8	no	—
465	Dic₈₆	—	4	8	no	—
466	#62824	—	43	1	no	maximal, Sylow
467	C₂²×C₄₃	—	2	8	no	—
468	C₂²×C₄₃	—	2	2	no	—
469	C₂²×C₄₃	—	2	2	no	—
470	C₂²×C₄₃	—	2	2	no	—
471	C₂²×C₄₃	—	2	4	no	—
472	C₂²×C₄₃	—	2	4	no	—
473	C₂²×C₄₃	—	2	4	no	—
474	C₂²×C₄₃	—	2	8	no	—
475	C₂²×C₄₃	—	2	8	no	—
476	C₂²×C₄₃	—	2	8	no	—
477	C₂²×C₄₃	—	8	4	no	—
478	C₂²×C₄₃	—	8	4	no	—
479	C₂²×C₄₃	—	8	16	no	—
480	C₂²×C₄₃	—	16	4	no	—
481	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
482	C₂²×C₄₃	#585	1	4	yes	—
483	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
484	C₂×D₄₃	—	2	4	no	—
485	C₂×D₄₃	—	2	8	no	—
486	C₂×D₄₃	—	16	4	no	—
487	C₄×C₄₃	—	2	2	no	—
488	C₄×C₄₃	—	2	4	no	—
489	C₄×C₄₃	—	2	8	no	—
490	C₄×C₄₃	C₂×H(5,𝔽₂)	1	4	yes	—
491	Dic₄₃	—	2	8	no	—
492	Dic₄₃	—	2	4	no	—
493	Dic₄₃	—	2	4	no	—
494	Dic₄₃	—	2	8	no	—
495	Dic₄₃	—	2	4	no	—
496	#3561	—	43	8	no	—
497	#3558	—	43	8	no	—
498	#3545	—	43	8	no	—
499	#3514	—	43	8	no	—
500	#3514	—	43	8	no	—
501	#3510	—	43	2	no	—
502	#3510	—	43	2	no	—
503	#3500	—	43	2	no	—
504	#3500	—	43	2	no	—
505	#3490	—	43	8	no	—
506	#3486	—	43	2	no	—
507	#3484	—	43	1	no	—
508	#3484	D₄₃	1	1	yes	characteristic, complemented
509	#3444	—	43	2	no	—
510	C₂²×#124	—	43	1	no	—
511	C₂×C₄₃	—	2	2	no	—
512	C₂×C₄₃	—	2	4	no	—
513	C₂×C₄₃	—	4	4	no	—
514	C₂×C₄₃	—	4	4	no	—
515	C₂×C₄₃	—	4	4	no	—
516	C₂×C₄₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
517	C₂×C₄₃	C₂×#585	1	2	yes	—
518	D₄₃	—	4	4	no	—
519	C₂×2₋¹⁺⁴	—	43	2	no	—
520	C₂×H(5,𝔽₂)	—	43	1	no	—
521	C₂×H(5,𝔽₂)	C₂×D₄₃	1	1	yes	characteristic, complemented
522	C₂³×Q₈	—	43	1	no	—
523	C₂³×D₄	C₂×D₄₃	1	1	yes	characteristic
524	#563	—	43	8	no	—
525	#562	—	43	16	no	—
526	H(3,𝔽₄)	—	43	8	no	—
527	#559	—	43	8	no	—
528	#559	—	43	8	no	—
529	#556	—	43	8	no	—
530	#556	—	43	8	no	—
531	#555	—	43	16	no	—
532	#551	—	43	8	no	—
533	#551	—	43	16	no	—
534	#551	—	43	16	no	—
535	#551	—	43	8	no	—
536	#551	—	43	16	no	—
537	#551	—	43	16	no	—
538	D₄×Q₈	—	43	8	no	—
539	D₄×Q₈	—	43	8	no	—
540	#548	—	43	8	no	—
541	#548	—	43	8	no	—
542	#548	—	43	8	no	—
543	#548	—	43	8	no	—
544	#546	—	43	8	no	—
545	#546	—	43	16	no	—
546	#546	—	43	16	no	—
547	#546	—	43	8	no	—
548	#546	—	43	8	no	—
549	#546	—	43	16	no	—
550	#546	—	43	16	no	—
551	#546	C₂×D₄₃	1	8	yes	complemented
552	D₄²	—	43	8	no	—
553	D₄²	C₂×D₄₃	1	8	yes	complemented
554	#543	—	43	8	no	—
555	#542	—	43	16	no	—
556	#542	—	43	8	no	—
557	#542	—	43	16	no	—
558	#542	—	43	8	no	—
559	#538	—	43	16	no	—
560	#538	—	43	16	no	—
561	#538	—	43	16	no	—
562	#538	—	43	16	no	—
563	#536	—	43	2	no	—
564	#536	—	43	4	no	—
565	#536	—	43	4	no	—
566	#536	—	43	8	no	—
567	#536	—	43	2	no	—
568	#535	—	43	2	no	—
569	#535	—	43	4	no	—
570	#535	—	43	4	no	—
571	#535	C₂×D₄₃	1	2	yes	—
572	#534	—	43	4	no	—
573	#534	—	43	8	no	—
574	#534	C₂×D₄₃	1	4	yes	complemented
575	#533	—	43	4	no	—
576	#533	—	43	2	no	—
577	#532	—	43	2	no	—
578	#532	—	43	4	no	—
579	#532	—	43	4	no	—
580	#532	—	43	4	no	—
581	#529	—	43	8	no	—
582	#529	—	43	4	no	—
583	#529	—	43	4	no	—
584	#529	—	43	8	no	—
585	#529	—	43	8	no	—
586	#529	—	43	8	no	—
587	C₂×#124	—	43	2	no	—
588	C₂×#124	—	43	2	no	—
589	C₂×#124	—	43	8	no	—
590	C₂×#124	—	43	4	no	—
591	C₂×#124	—	43	8	no	—
592	C₂×#124	—	43	4	no	—
593	C₂×#124	—	43	4	no	—
594	#525	—	43	2	no	—
595	#525	—	43	8	no	—
596	#525	—	43	8	no	—
597	#525	C₂×D₄₃	1	2	yes	complemented
598	C₂×#120	—	43	4	no	—
599	C₂×#120	C₂×D₄₃	1	4	yes	complemented
600	#519	—	43	2	no	—
601	#518	—	43	1	no	—
602	#518	—	43	8	no	—
603	#518	—	43	8	no	—
604	#518	C₂×D₄₃	1	1	yes	characteristic, complemented
605	C₄×#41	—	43	2	no	—
606	C₄×#41	—	43	8	no	—
607	C₄×#41	—	43	2	no	—
608	C₂²×C₂²⋊C₄	—	43	4	no	—
609	C₂²×C₄²	—	43	1	no	—
610	C₄₃	#62824	1	1	yes	characteristic, complemented, Sylow
611	C₂⁵	C₂²×D₄₃	1	2	yes	—
612	2₋¹⁺⁴	—	172	8	no	—
613	H(5,𝔽₂)	—	4	4	no	—
614	H(5,𝔽₂)	—	172	4	no	—
615	C₂×#41	—	43	8	no	—
616	C₂×#41	—	43	8	no	—
617	C₂×#41	—	43	4	no	—
618	C₂×#41	—	43	4	no	—
619	C₂×#41	—	43	2	no	—
620	C₂×#41	—	43	4	no	—
621	C₂×#41	C₂²×D₄₃	1	2	yes	—
622	C₂×#41	C₂²×D₄₃	1	4	yes	—
623	C₂²×Q₈	—	43	4	no	—
624	C₂²×Q₈	—	43	2	no	—
625	C₂²×Q₈	—	43	2	no	—
626	C₂²×Q₈	—	43	8	no	—
627	C₂²×Q₈	—	43	4	no	—
628	C₂²×Q₈	—	172	4	no	—
629	C₂²×D₄	—	4	4	no	—
630	C₂²×D₄	—	43	8	no	—
631	C₂²×D₄	—	43	4	no	—
632	C₂²×D₄	—	43	4	no	—
633	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
634	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
635	C₂²×D₄	C₂²×D₄₃	1	8	yes	—
636	C₂²×D₄	C₂²×D₄₃	1	4	yes	—
637	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
638	C₂²×D₄	C₂²×D₄₃	1	8	yes	—
639	C₂²×D₄	C₂²×D₄₃	1	4	yes	—
640	C₂³×C₄	—	43	2	no	—
641	C₂³×C₄	—	43	2	no	—
642	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
643	C₄⋊Q₈	—	43	2	no	—
644	C₄⋊Q₈	—	43	4	no	—
645	C₄⋊Q₈	—	43	4	no	—
646	C₄⋊Q₈	—	43	16	no	—
647	C₄⋊Q₈	—	43	4	no	—
648	#127	—	43	2	no	—
649	#127	—	43	4	no	—
650	#127	C₂²×D₄₃	1	4	yes	—
651	#126	—	43	8	no	—
652	#126	—	43	8	no	—
653	#126	—	43	16	no	—
654	#126	—	43	16	no	—
655	#126	—	43	16	no	—
656	#126	—	43	16	no	—
657	#125	—	43	4	no	—
658	#125	—	43	8	no	—
659	#124	—	43	2	no	—
660	#124	—	43	4	no	—
661	#124	—	43	4	no	—
662	#124	—	43	4	no	—
663	#124	—	43	4	no	—
664	#124	—	43	16	no	—
665	#124	—	43	8	no	—
666	#124	—	43	8	no	—
667	#124	—	43	8	no	—
668	#124	—	43	8	no	—
669	#124	—	43	2	no	—
670	#124	—	43	4	no	—
671	#124	—	43	4	no	—
672	#124	—	43	16	no	—
673	#124	—	43	16	no	—
674	#124	—	43	16	no	—
675	#124	—	43	8	no	—
676	#124	—	43	16	no	—
677	#124	—	43	16	no	—
678	#124	—	43	4	no	—
679	#124	C₂²×D₄₃	1	4	yes	—
680	#123	—	43	8	no	—
681	#123	—	43	8	no	—
682	#123	—	43	16	no	—
683	#123	—	43	16	no	—
684	#123	—	43	8	no	—
685	#123	—	43	16	no	—
686	#123	—	43	4	no	—
687	#123	—	43	16	no	—
688	#123	—	43	8	no	—
689	#123	—	43	8	no	—
690	#123	—	43	16	no	—
691	#123	—	43	16	no	—
692	#123	C₂²×D₄₃	1	4	yes	—
693	#123	C₂²×D₄₃	1	8	yes	—
694	C₂²⋊Q₈	—	43	4	no	—
695	C₂²⋊Q₈	—	43	8	no	—
696	C₂²⋊Q₈	—	43	16	no	—
697	C₂²⋊Q₈	—	43	16	no	—
698	C₂²⋊Q₈	—	43	8	no	—
699	C₂²⋊Q₈	—	43	16	no	—
700	C₂²⋊Q₈	—	43	8	no	—
701	C₂²⋊Q₈	—	43	8	no	—
702	C₂²⋊Q₈	—	43	16	no	—
703	C₂²⋊Q₈	—	43	16	no	—
704	C₂²⋊Q₈	—	43	16	no	—
705	C₂²⋊Q₈	—	43	16	no	—
706	C₂²⋊Q₈	C₂²×D₄₃	1	4	yes	—
707	#121	—	43	8	no	—
708	#121	—	43	8	no	—
709	#121	—	43	16	no	—
710	#121	—	43	8	no	—
711	#121	—	43	16	no	—
712	#121	—	43	16	no	—
713	#121	—	43	16	no	—
714	#121	—	43	16	no	—
715	#121	—	43	16	no	—
716	#121	—	43	4	no	—
717	#121	C₂²×D₄₃	1	4	yes	—
718	#121	C₂²×D₄₃	1	8	yes	—
719	#121	C₂²×D₄₃	1	16	yes	—
720	#120	—	43	4	no	—
721	#120	—	43	8	no	—
722	#120	—	43	16	no	—
723	#120	—	43	16	no	—
724	#120	—	43	16	no	—
725	#120	—	43	8	no	—
726	#120	C₂²×D₄₃	1	4	yes	—
727	#120	C₂²×D₄₃	1	8	yes	—
728	#120	C₂²×D₄₃	1	16	yes	—
729	#120	C₂²×D₄₃	1	8	yes	—
730	C₄×Q₈	—	43	4	no	—
731	C₄×Q₈	—	43	8	no	—
732	C₄×Q₈	—	43	4	no	—
733	C₄×Q₈	—	43	8	no	—
734	C₄×Q₈	—	43	8	no	—
735	C₄×Q₈	—	43	8	no	—
736	C₄×D₄	—	43	8	no	—
737	C₄×D₄	—	43	8	no	—
738	C₄×D₄	—	43	4	no	—
739	C₄×D₄	—	43	16	no	—
740	C₄×D₄	—	43	16	no	—
741	C₄×D₄	—	43	8	no	—
742	C₄×D₄	—	43	16	no	—
743	C₄×D₄	—	43	8	no	—
744	C₄×D₄	—	43	8	no	—
745	C₄×D₄	—	43	16	no	—
746	C₄×D₄	—	43	16	no	—
747	C₄×D₄	—	43	4	no	—
748	C₄×D₄	—	43	8	no	—
749	C₄×D₄	—	43	8	no	—
750	C₄×D₄	—	43	8	no	—
751	C₄×D₄	—	43	16	no	—
752	C₄×D₄	C₂²×D₄₃	1	8	yes	—
753	C₄×D₄	C₂²×D₄₃	1	8	yes	—
754	#117	—	43	2	no	—
755	#117	—	43	4	no	—
756	#117	—	43	16	no	—
757	#117	—	43	8	no	—
758	#117	—	43	8	no	—
759	#117	—	43	8	no	—
760	#117	—	43	16	no	—
761	#117	—	43	8	no	—
762	#117	—	43	4	no	—
763	#117	C₂²×D₄₃	1	2	yes	—
764	C₂×C₂²⋊C₄	—	43	8	no	—
765	C₂×C₂²⋊C₄	—	43	8	no	—
766	C₂×C₂²⋊C₄	—	43	16	no	—
767	C₂×C₂²⋊C₄	—	43	8	no	—
768	C₂×C₂²⋊C₄	—	43	8	no	—
769	C₂×C₂²⋊C₄	—	43	4	no	—
770	C₂×C₂²⋊C₄	—	43	8	no	—
771	C₂×C₂²⋊C₄	—	43	16	no	—
772	C₂×C₂²⋊C₄	—	43	16	no	—
773	C₂×C₂²⋊C₄	C₂²×D₄₃	1	8	yes	—
774	C₂×C₂²⋊C₄	C₂²×D₄₃	1	4	yes	—
775	C₂×C₄²	—	43	4	no	—
776	C₂×C₄²	—	43	4	no	—
777	C₂×C₄²	—	43	2	no	—
778	C₂×C₄²	—	43	2	no	—
779	C₂×C₄²	—	43	4	no	—
780	C₂×C₄²	—	43	4	no	—
781	C₂⁴	—	4	4	no	—
782	C₂⁴	—	4	8	no	—
783	C₂⁴	—	43	4	no	—
784	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
785	C₂⁴	C₂³×D₄₃	1	2	yes	—
786	C₂⁴	C₂³×D₄₃	1	8	yes	—
787	C₂⁴	C₂³×D₄₃	1	2	yes	—
788	C₂⁴	C₂³×D₄₃	1	4	yes	—
789	#41	—	2	8	no	—
790	#41	—	4	8	no	—
791	#41	—	86	8	no	—
792	#41	—	172	8	no	—
793	#41	—	172	16	no	—
794	#41	—	172	16	no	—
795	#41	—	172	8	no	—
796	#41	—	172	8	no	—
797	C₂×Q₈	—	43	4	no	—
798	C₂×Q₈	—	43	4	no	—
799	C₂×Q₈	—	43	2	no	—
800	C₂×Q₈	—	43	8	no	—
801	C₂×Q₈	—	43	8	no	—
802	C₂×Q₈	—	43	8	no	—
803	C₂×Q₈	—	86	8	no	—
804	C₂×Q₈	—	172	4	no	—
805	C₂×Q₈	—	172	16	no	—
806	C₂×Q₈	—	172	8	no	—
807	C₂×Q₈	—	172	8	no	—
808	C₂×Q₈	C₂³×D₄₃	1	2	yes	—
809	C₂×D₄	—	2	4	no	—
810	C₂×D₄	—	2	4	no	—
811	C₂×D₄	—	4	16	no	—
812	C₂×D₄	—	4	8	no	—
813	C₂×D₄	—	4	4	no	—
814	C₂×D₄	—	4	8	no	—
815	C₂×D₄	—	4	16	no	—
816	C₂×D₄	—	43	8	no	—
817	C₂×D₄	—	43	4	no	—
818	C₂×D₄	—	43	8	no	—
819	C₂×D₄	—	43	16	no	—
820	C₂×D₄	—	43	8	no	—
821	C₂×D₄	—	43	8	no	—
822	C₂×D₄	—	43	2	no	—
823	C₂×D₄	—	172	8	no	—
824	C₂×D₄	—	172	8	no	—
825	C₂×D₄	—	172	16	no	—
826	C₂×D₄	C₂³×D₄₃	1	8	yes	—
827	C₂×D₄	C₂³×D₄₃	1	4	yes	—
828	C₂×D₄	C₂³×D₄₃	1	4	yes	—
829	C₂×D₄	C₂³×D₄₃	1	2	yes	—
830	C₂×D₄	C₂³×D₄₃	1	4	yes	—
831	C₂×D₄	C₂³×D₄₃	1	16	yes	—
832	C₂×D₄	C₂³×D₄₃	1	8	yes	—
833	C₂×D₄	C₂³×D₄₃	1	8	yes	—
834	C₂²×C₄	—	2	4	no	—
835	C₂²×C₄	—	43	4	no	—
836	C₂²×C₄	—	43	4	no	—
837	C₂²×C₄	—	43	2	no	—
838	C₂²×C₄	—	43	4	no	—
839	C₂²×C₄	—	43	2	no	—
840	C₂²×C₄	—	43	8	no	—
841	C₂²×C₄	—	43	8	no	—
842	C₂²×C₄	—	43	8	no	—
843	C₂²×C₄	—	43	8	no	—
844	C₂²×C₄	—	43	4	no	—
845	C₂²×C₄	—	43	4	no	—
846	C₂²×C₄	—	43	8	no	—
847	C₂²×C₄	—	43	8	no	—
848	C₂²×C₄	—	172	4	no	—
849	C₂²×C₄	—	172	4	no	—
850	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
851	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
852	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
853	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
854	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
855	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
856	C₄⋊C₄	—	43	8	no	—
857	C₄⋊C₄	—	43	8	no	—
858	C₄⋊C₄	—	43	4	no	—
859	C₄⋊C₄	—	43	16	no	—
860	C₄⋊C₄	—	43	16	no	—
861	C₄⋊C₄	—	43	8	no	—
862	C₄⋊C₄	—	43	8	no	—
863	C₄⋊C₄	—	43	8	no	—
864	C₄⋊C₄	—	43	8	no	—
865	C₄⋊C₄	—	43	8	no	—
866	C₄⋊C₄	—	43	16	no	—
867	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
868	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
869	C₂²⋊C₄	—	43	16	no	—
870	C₂²⋊C₄	—	43	16	no	—
871	C₂²⋊C₄	—	43	16	no	—
872	C₂²⋊C₄	—	43	16	no	—
873	C₂²⋊C₄	—	43	4	no	—
874	C₂²⋊C₄	—	43	8	no	—
875	C₂²⋊C₄	—	43	8	no	—
876	C₂²⋊C₄	—	43	16	no	—
877	C₂²⋊C₄	—	43	8	no	—
878	C₂²⋊C₄	—	43	16	no	—
879	C₂²⋊C₄	—	43	8	no	—
880	C₂²⋊C₄	—	43	8	no	—
881	C₂²⋊C₄	—	43	16	no	—
882	C₂²⋊C₄	—	43	8	no	—
883	C₂²⋊C₄	—	43	8	no	—
884	C₂²⋊C₄	C₂³×D₄₃	1	16	yes	—
885	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
886	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
887	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
888	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
889	C₄²	—	43	2	no	—
890	C₄²	—	43	2	no	—
891	C₄²	—	43	2	no	—
892	C₄²	—	43	4	no	—
893	C₄²	—	43	4	no	—
894	C₄²	—	43	2	no	—
895	C₄²	—	43	8	no	—
896	C₄²	—	43	8	no	—
897	C₄²	—	43	4	no	—
898	C₄²	—	43	16	no	—
899	C₄²	C₂³×D₄₃	1	4	yes	—
900	C₂³	—	2	2	no	—
901	C₂³	—	2	4	no	—
902	C₂³	—	2	4	no	—
903	C₂³	—	2	4	no	—
904	C₂³	—	2	16	no	—
905	C₂³	—	4	8	no	—
906	C₂³	—	4	4	no	—
907	C₂³	—	4	8	no	—
908	C₂³	—	4	4	no	—
909	C₂³	—	4	4	no	—
910	C₂³	—	4	8	no	—
911	C₂³	—	8	16	no	—
912	C₂³	—	43	4	no	—
913	C₂³	—	172	4	no	—
914	C₂³	—	172	8	no	—
915	C₂³	C₂⁴×D₄₃	1	4	yes	—
916	C₂³	C₂⁴×D₄₃	1	4	yes	—
917	C₂³	C₂⁴×D₄₃	1	4	yes	—
918	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
919	C₂³	C₂⁴×D₄₃	1	2	yes	—
920	Q₈	—	2	4	no	—
921	Q₈	—	86	8	no	—
922	Q₈	—	86	8	no	—
923	Q₈	—	86	4	no	—
924	Q₈	—	172	8	no	—
925	Q₈	—	172	8	no	—
926	Q₈	—	172	8	no	—
927	D₄	—	2	8	no	—
928	D₄	—	2	16	no	—
929	D₄	—	2	8	no	—
930	D₄	—	2	8	no	—
931	D₄	—	2	4	no	—
932	D₄	—	4	8	no	—
933	D₄	—	4	8	no	—
934	D₄	—	4	16	no	—
935	D₄	—	86	8	no	—
936	D₄	—	86	16	no	—
937	D₄	—	86	4	no	—
938	D₄	—	172	8	no	—
939	D₄	—	172	16	no	—
940	D₄	—	172	8	no	—
941	D₄	—	172	8	no	—
942	C₂×C₄	—	2	2	no	—
943	C₂×C₄	—	2	8	no	—
944	C₂×C₄	—	2	8	no	—
945	C₂×C₄	—	4	4	no	—
946	C₂×C₄	—	4	8	no	—
947	C₂×C₄	—	43	4	no	—
948	C₂×C₄	—	43	4	no	—
949	C₂×C₄	—	43	8	no	—
950	C₂×C₄	—	43	8	no	—
951	C₂×C₄	—	43	4	no	—
952	C₂×C₄	—	86	8	no	—
953	C₂×C₄	—	86	8	no	—
954	C₂×C₄	—	86	8	no	—
955	C₂×C₄	—	172	8	no	—
956	C₂×C₄	—	172	8	no	—
957	C₂×C₄	—	172	8	no	—
958	C₂×C₄	—	172	2	no	—
959	C₂×C₄	—	172	4	no	—
960	C₂×C₄	—	172	2	no	—
961	C₂×C₄	—	172	4	no	—
962	C₂×C₄	—	172	8	no	—
963	C₂×C₄	—	172	8	no	—
964	C₂×C₄	—	172	8	no	—
965	C₂×C₄	#13063370	1	4	yes	—
966	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
967	C₂×C₄	C₂⁴×D₄₃	1	8	yes	—
968	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
969	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
970	C₂²	—	2	8	no	—
971	C₂²	—	2	2	no	—
972	C₂²	—	2	2	no	—
973	C₂²	—	2	2	no	—
974	C₂²	—	2	4	no	—
975	C₂²	—	2	4	no	—
976	C₂²	—	2	4	no	—
977	C₂²	—	2	8	no	—
978	C₂²	—	2	8	no	—
979	C₂²	—	2	8	no	—
980	C₂²	—	8	4	no	—
981	C₂²	—	8	4	no	—
982	C₂²	—	8	16	no	—
983	C₂²	—	16	4	no	—
984	C₂²	—	86	4	no	—
985	C₂²	—	86	8	no	—
986	C₂²	—	688	4	no	—
987	C₂²	C₂×#13063370	1	2	yes	—
988	C₂²	#14583734	1	4	yes	—
989	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
990	C₄	—	2	2	no	—
991	C₄	—	2	4	no	—
992	C₄	—	2	8	no	—
993	C₄	—	86	4	no	—
994	C₄	—	86	8	no	—
995	C₄	—	86	4	no	—
996	C₄	—	86	4	no	—
997	C₄	—	86	8	no	—
998	C₄	C₂×#13063370	1	4	yes	—
999	C₂	—	2	2	no	—
1000	C₂	—	2	4	no	—
1001	C₂	—	4	4	no	—
1002	C₂	—	4	4	no	—
1003	C₂	—	4	4	no	—
1004	C₂	—	172	4	no	—
1005	C₂	C₂²×#13063370	1	1	yes	characteristic
1006	C₂	C₂×#14583734	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₄₃
commutator, socle, cosocle	C₂²×C₄₃	C₂⁶
Fitting	C₄₃×#3484	C₂
hypercenter	#3484	D₄₃
hypocenter	C₄₃	#62824
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ #3484

Complements

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

N	H ≅ G/N	type
1. #19149154	C₂	semidirect
2. #19149109	C₂	semidirect
3. #19148944	C₂	semidirect
4. #19148553	C₂	semidirect
5. #19148547	C₂	semidirect
6. #19148490	C₂	semidirect
7. #19148486	C₂	semidirect
8. #19148387	C₂	semidirect
9. #19148383	C₂	semidirect
10. #19148282	C₂	semidirect
11. #19148242	C₂	semidirect
12. #19148230	C₂	semidirect
13. #19147887	C₂	semidirect
14. C₂²×#13063312	C₂	semidirect
15. C₄₃×#3484	C₂	semidirect
16. C₂×#13063372	C₂²	semidirect
17. C₂×#13063370	C₂²	semidirect
18. C₂³×Dic₈₆	C₂²	semidirect
19. #14583652	C₂²	semidirect
20. #14583644	C₂²	semidirect
21. #14583642	C₂²	semidirect
22. #14583635	C₂²	semidirect
23. #14583632	C₂²	semidirect
24. #14583619	C₂²	semidirect
25. #14583618	C₂²	semidirect
26. #14583613	C₂²	semidirect
27. #14583580	C₂²	semidirect
28. #14583580	C₂²	semidirect
29. #14583580	C₂²	semidirect
30. #14583577	C₂²	semidirect
31. #14583575	C₂²	semidirect
32. #14583575	C₂²	semidirect
33. D₄×Dic₈₆	C₂²	semidirect
34. #14583562	C₂²	semidirect
35. #14583558	C₂²	semidirect
36. #14583556	C₂²	semidirect
37. #14583555	C₂²	semidirect
38. #14583555	C₂²	semidirect
39. #14583546	C₂²	semidirect
40. #14583543	C₂²	semidirect
41. #14583543	C₂²	semidirect
42. #14583543	C₂²	semidirect
43. #14583543	C₂²	semidirect
44. #14583536	C₂²	semidirect
45. #14583536	C₂²	semidirect
46. D₄×C₂²⋊D₄₃	C₂²	semidirect
47. #14583525	C₂²	semidirect
48. #14583517	C₂²	semidirect
49. #14583516	C₂²	semidirect
50. #14583516	C₂²	semidirect
51. #14583514	C₂²	semidirect
52. #14583484	C₂²	semidirect
53. #14583484	C₂²	semidirect
54. #14583484	C₂²	semidirect
55. #14583481	C₂²	semidirect
56. #14583475	C₂²	semidirect
57. #14583471	C₂²	semidirect
58. #14583470	C₂²	semidirect
59. #14583470	C₂²	semidirect
60. #14583469	C₂²	semidirect
62. #14583466	C₂²	semidirect
63. #14583462	C₂²	semidirect
64. #14583458	C₂²	semidirect
65. #14583458	C₂²	semidirect
66. #14583452	C₂²	semidirect
67. #14583451	C₂²	semidirect
68. #14583447	C₂²	semidirect
69. #14583445	C₂²	semidirect
70. #14583445	C₂²	semidirect
71. #14583444	C₂²	semidirect
72. #14583435	C₂²	semidirect
73. #14583431	C₂²	semidirect
74. #14583430	C₂²	semidirect
75. #14583430	C₂²	semidirect
76. #14583429	C₂²	semidirect
77. #14583426	C₂²	semidirect
78. C₂×#13063312	C₂²	semidirect
79. C₂×#13063312	C₂²	semidirect
80. C₂×#13063312	C₂²	semidirect
81. C₂×#13063312	C₂²	semidirect
82. C₂×#13063312	C₂²	semidirect
83. C₂×#13063312	C₂²	semidirect
84. #124×D₄₃	C₂²	semidirect
85. #14583410	C₂²	semidirect
86. #14583405	C₂²	semidirect
87. #14583405	C₂²	semidirect
88. C₂×#13063294	C₂²	semidirect
89. #14583376	C₂²	semidirect
90. #14583374	C₂²	semidirect
91. #14583374	C₂²	semidirect
92. #14583372	C₂²	semidirect
93. #41×Dic₄₃	C₂²	semidirect
94. #14583367	C₂²	semidirect
95. C₄×#10621900	C₂²	semidirect
96. C₂²×C₂²⋊Dic₄₃	C₂²	semidirect
97. C₂²×C₄×Dic₄₃	C₂²	semidirect
98. C₂×H(5,𝔽₂)×C₄₃	C₂²	semidirect
100. C₄₃×#546	C₂²	semidirect
101. D₄²×C₄₃	C₂²	semidirect
103. C₄₃×#534	C₂²	semidirect
104. C₄₃×#525	C₂²	semidirect
105. C₂×#120×C₄₃	C₂²	semidirect
106. C₄₃×#518	C₂²	semidirect
110. C₂×#10621898	C₂³	semidirect
114. C₂×#10621900	C₂³	semidirect
119. C₂²×Dic₈₆	C₂³	semidirect
120. C₂×Q₈×D₄₃	C₂³	semidirect
126. #13063325	C₂³	semidirect
127. #13063324	C₂³	semidirect
128. #13063324	C₂³	semidirect
129. #13063323	C₂³	semidirect
130. #13063323	C₂³	semidirect
132. #13063321	C₂³	semidirect
133. #13063320	C₂³	semidirect
134. #13063318	C₂³	semidirect
135. #13063318	C₂³	semidirect
136. #13063318	C₂³	semidirect
137. #13063318	C₂³	semidirect
138. #13063318	C₂³	semidirect
139. #13063316	C₂³	semidirect
140. #13063315	C₂³	semidirect
141. #13063314	C₂³	semidirect
142. #13063313	C₂³	semidirect
153. #13063312	C₂³	semidirect
154. #13063312	C₂³	semidirect
155. #13063312	C₂³	semidirect
156. #13063312	C₂³	semidirect
157. #13063311	C₂³	semidirect
158. #13063311	C₂³	semidirect
159. #13063311	C₂³	semidirect
160. #13063311	C₂³	semidirect
164. #13063308	C₂³	semidirect
165. #13063307	C₂³	semidirect
166. #13063307	C₂³	semidirect
170. #13063306	C₂³	semidirect
171. #13063306	C₂³	semidirect
172. #13063306	C₂³	semidirect
173. #13063305	C₂³	semidirect
175. #13063304	C₂³	semidirect
176. #13063304	C₂³	semidirect
177. #13063304	C₂³	semidirect
178. #13063303	C₂³	semidirect
182. #13063302	C₂³	semidirect
183. #13063302	C₂³	semidirect
184. #13063302	C₂³	semidirect
190. #13063297	C₂³	semidirect
191. #13063297	C₂³	semidirect
193. #13063296	C₂³	semidirect
194. #13063296	C₂³	semidirect
198. #13063294	C₂³	semidirect
200. #13063293	C₂³	semidirect
201. Q₈×Dic₄₃	C₂³	semidirect
202. C₄×Dic₈₆	C₂³	semidirect
203. C₄×Dic₈₆	C₂³	semidirect
204. #13063290	C₂³	semidirect
205. #13063290	C₂³	semidirect
206. #13063290	C₂³	semidirect
211. D₄×Dic₄₃	C₂³	semidirect
212. D₄×Dic₄₃	C₂³	semidirect
213. D₄×Dic₄₃	C₂³	semidirect
214. #13063287	C₂³	semidirect
216. C₄×C₂²⋊D₄₃	C₂³	semidirect
217. C₄×C₂²⋊D₄₃	C₂³	semidirect
218. C₄×C₂²⋊D₄₃	C₂³	semidirect
222. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
224. #13063284	C₂³	semidirect
225. #13063284	C₂³	semidirect
226. #13063283	C₂³	semidirect
227. #13063282	C₂³	semidirect
230. #13063281	C₂³	semidirect
231. #13063281	C₂³	semidirect
239. C₂×C₂²⋊Dic₄₃	C₂³	semidirect
240. C₂²⋊C₄×D₄₃	C₂³	semidirect
245. C₂×C₄×Dic₄₃	C₂³	semidirect
246. C₄²×D₄₃	C₂³	semidirect
508. #3484	D₄₃	semidirect
521. C₂×H(5,𝔽₂)	C₂×D₄₃	semidirect
551. #546	C₂×D₄₃	semidirect
553. D₄²	C₂×D₄₃	semidirect
574. #534	C₂×D₄₃	semidirect
597. #525	C₂×D₄₃	semidirect
599. C₂×#120	C₂×D₄₃	semidirect
604. #518	C₂×D₄₃	semidirect
610. C₄₃	#62824	semidirect

Maximal subgroups

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

subgroup	index
#19149154	2
#19149109	2
#19148944	2
#19148553	2
#19148547	2
#19148490	2
#19148486	2
#19148387	2
#19148383	2
#19148282	2
#19148242	2
#19148230	2
#19147887	2
C₂²×#13063312	2
C₄₃×#3484	2
#62824	43