Subgroups — #25974002

Order 11008.

2230 conjugacy classes of subgroups.

The subgroup lattice has 1290 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148312	C₂	1	1	yes	maximal, characteristic, complemented
2	#19148228	C₂	1	1	yes	maximal, characteristic, complemented
3	#19146832	C₂	1	2	yes	maximal, complemented
4	#19146821	C₂	1	2	yes	maximal, complemented
5	#19146817	C₂	1	2	yes	maximal, complemented
6	#19146802	C₂	1	2	yes	maximal, complemented
7	#19146746	C₂	1	2	yes	maximal, complemented
8	#19146731	C₂	1	2	yes	maximal, complemented
9	#19146626	C₂	1	2	yes	maximal, complemented
10	#19146611	C₂	1	2	yes	maximal, complemented
11	#19144953	C₂	1	1	yes	maximal, characteristic, complemented
12	#19144556	C₂	1	1	yes	maximal, characteristic, complemented
13	#19144524	C₂	1	1	yes	maximal, characteristic, complemented
14	#19144429	C₂	1	1	yes	maximal, characteristic, complemented
15	#19144278	C₂	1	1	yes	maximal, characteristic, complemented
16	#19144132	C₂	1	1	yes	maximal, characteristic, complemented
17	#19143895	C₂	1	1	yes	maximal, characteristic, complemented
18	#19143821	C₂	1	1	yes	maximal, characteristic, complemented
19	#19143430	C₂	1	1	yes	maximal, characteristic, complemented
20	#19143298	C₂	1	1	yes	maximal, characteristic, complemented
21	#19143117	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#14582905	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄₃×#3054	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13063371	C₂²	1	1	yes	characteristic
25	C₂³×D₁₇₂	C₂²	1	1	yes	characteristic
26	C₂×#13063350	C₂²	1	1	yes	characteristic
27	C₂×#13063350	C₂²	1	1	yes	characteristic, complemented
28	C₂×#13063331	C₂²	1	1	yes	characteristic, complemented
29	#14583620	C₂²	1	2	yes	complemented
30	#14583619	—	2	1	no	—
31	#14583614	—	2	1	no	—
32	#14583613	C₂²	1	2	yes	complemented
33	#14583596	C₂²	1	2	yes	complemented
34	#14583595	—	2	1	no	—
35	#14583589	—	2	1	no	—
36	#14583583	C₂²	1	2	yes	complemented
37	#14583545	—	2	1	no	—
38	#14583545	—	2	1	no	—
39	#14583540	C₂²	1	2	yes	—
40	#14583540	C₂²	1	2	yes	—
41	D₄×D₁₇₂	—	2	1	no	—
42	D₄×D₁₇₂	—	2	1	no	—
43	#14583533	C₂²	1	2	yes	—
44	#14583533	C₂²	1	2	yes	—
45	#14583527	C₂²	1	1	yes	characteristic, complemented
46	#14583484	—	2	2	no	—
47	#14583477	C₂²	1	1	yes	characteristic, complemented
48	#14583468	C₂²	1	1	yes	characteristic
49	#14583463	C₂²	1	1	yes	characteristic
50	#14583460	—	2	2	no	—
51	#14583426	—	2	2	no	—
52	#14583410	C₂²	1	1	yes	characteristic
53	#120×D₄₃	—	2	2	no	—
54	#14583382	C₂²	1	1	yes	characteristic, complemented
55	#14583379	C₂²	1	1	yes	characteristic, complemented
56	#14583373	C₂²	1	1	yes	characteristic
57	C₂×#13063284	C₂²	1	1	yes	characteristic, complemented
58	#14583262	C₂²	1	2	yes	complemented
59	#14583260	C₂²	1	2	yes	complemented
60	#14583255	C₂²	1	2	yes	complemented
61	#14583244	C₂²	1	2	yes	complemented
62	#14583237	C₂²	1	2	yes	complemented
63	#14583237	C₂²	1	2	yes	complemented
64	#14583226	C₂²	1	2	yes	complemented
65	#14583225	C₂²	1	2	yes	complemented
66	#14583220	C₂²	1	2	yes	complemented
67	#14583220	C₂²	1	2	yes	complemented
68	#14583219	C₂²	1	2	yes	complemented
69	#14583214	C₂²	1	2	yes	complemented
70	#14583202	C₂²	1	2	yes	complemented
71	#14583198	C₂²	1	2	yes	complemented
72	#14583188	C₂²	1	2	yes	complemented
73	#14583178	C₂²	1	2	yes	complemented
74	#14583151	C₂²	1	2	yes	complemented
75	#14583148	C₂²	1	2	yes	complemented
76	#14583134	C₂²	1	2	yes	complemented
77	#14583131	C₂²	1	2	yes	complemented
78	#14583123	C₂²	1	2	yes	complemented
79	#14583116	C₂²	1	2	yes	complemented
80	#14583097	C₂²	1	2	yes	complemented
81	#14583092	C₂²	1	2	yes	complemented
82	#14583060	C₂²	1	2	yes	complemented
83	#14583049	C₂²	1	2	yes	complemented
84	#14583049	C₂²	1	2	yes	complemented
85	#14583048	C₂²	1	2	yes	complemented
86	#14583043	C₂²	1	2	yes	complemented
87	#14583032	C₂²	1	2	yes	complemented
88	#14583032	C₂²	1	2	yes	complemented
89	#14583031	C₂²	1	2	yes	complemented
90	#14583008	C₂²	1	2	yes	complemented
91	#14583002	C₂²	1	2	yes	complemented
92	#14582984	C₂²	1	2	yes	complemented
93	#14582979	C₂²	1	2	yes	complemented
94	#14582975	C₂²	1	2	yes	complemented
95	#14582975	C₂²	1	2	yes	complemented
96	#14582968	C₂²	1	2	yes	complemented
97	#14582968	C₂²	1	2	yes	complemented
98	#14582942	C₂²	1	1	yes	characteristic, complemented
99	#14582942	C₂²	1	1	yes	characteristic, complemented
100	#14582925	C₂²	1	1	yes	characteristic, complemented
101	#14582905	C₂²	1	2	yes	complemented
102	#14582905	C₂²	1	2	yes	complemented
103	#14582905	C₂²	1	2	yes	complemented
104	#14582905	C₂²	1	2	yes	complemented
105	#14582903	C₂²	1	1	yes	characteristic
106	#14582903	C₂²	1	1	yes	characteristic, complemented
107	#14582902	C₂²	1	2	yes	complemented
108	#14582900	C₂²	1	1	yes	characteristic, complemented
109	#14582900	C₂²	1	1	yes	characteristic, complemented
110	#14582899	C₂²	1	2	yes	complemented
111	#14582894	C₂²	1	2	yes	complemented
112	C₂×#13063247	C₂²	1	1	yes	characteristic
113	C₂×#13063247	C₂²	1	1	yes	characteristic
114	C₂×#13063247	C₂²	1	1	yes	characteristic, complemented
115	C₂×#13063247	C₂²	1	1	yes	characteristic, complemented
116	#102×D₄₃	C₂²	1	2	yes	complemented
117	#14582865	C₂²	1	1	yes	characteristic, complemented
118	#14582863	C₂²	1	1	yes	characteristic, complemented
119	#14582854	C₂²	1	1	yes	characteristic, complemented
120	C₂×#135×C₄₃	C₂²	1	1	yes	characteristic, complemented
121	C₂²×M₁₆×C₄₃	C₂²	1	1	yes	characteristic, complemented
122	C₄₃×#525	C₂²	1	1	yes	characteristic
123	C₄₃×#525	C₂²	1	1	yes	characteristic, complemented
124	C₄₃×#470	C₂²	1	1	yes	characteristic, complemented
125	C₄₃×#470	C₂²	1	1	yes	characteristic, complemented
126	C₄₃×#469	C₂²	1	1	yes	characteristic, complemented
127	C₄₃×#469	C₂²	1	1	yes	characteristic, complemented
128	C₄₃×#468	C₂²	1	1	yes	characteristic, complemented
129	C₄₃×#468	C₂²	1	1	yes	characteristic, complemented
130	C₄₃×#468	C₂²	1	1	yes	characteristic, complemented
131	C₄₃×#468	C₂²	1	1	yes	characteristic, complemented
132	C₄₃×#427	C₂²	1	1	yes	characteristic, complemented
133	C₄₃×#416	C₂²	1	1	yes	characteristic, complemented
134	C₄₃×#416	C₂²	1	1	yes	characteristic, complemented
135	C₂⁴×D₄₃	—	2	1	no	—
136	#13063371	—	2	4	no	—
137	#13063371	—	4	2	no	—
138	C₂×#10621902	C₂³	1	2	yes	—
139	C₂×#10621898	—	2	1	no	—
140	C₂×#10621898	C₂³	1	1	yes	characteristic
141	C₂²×D₁₇₂	—	2	4	no	—
142	C₂²×D₁₇₂	—	2	1	no	—
143	C₂²×D₁₇₂	—	2	1	no	—
144	C₂²×D₁₇₂	—	2	1	no	—
145	C₂²×D₁₇₂	—	2	1	no	—
146	C₂²×D₁₇₂	—	4	2	no	—
147	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
148	C₂²×D₁₇₂	C₂³	1	2	yes	—
149	C₂²×D₁₇₂	C₂³	1	2	yes	—
150	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
151	C₂×D₄×D₄₃	—	2	2	no	—
152	C₂×D₄×D₄₃	—	2	2	no	—
153	C₂×D₄×D₄₃	—	2	2	no	—
154	C₂×D₄×D₄₃	C₂³	1	2	yes	—
155	#13063350	—	2	4	no	—
156	#13063350	—	4	2	no	—
157	C₂×#10621884	C₂³	1	2	yes	—
158	C₂×#10621884	C₂³	1	2	yes	—
159	C₂×#10621882	C₂³	1	2	yes	—
160	C₂×#10621882	C₂³	1	2	yes	—
161	#13063331	—	4	2	no	—
162	C₂×#10621877	C₂³	1	1	yes	characteristic
163	C₂×#10621877	C₂³	1	1	yes	characteristic
164	C₂×#10621872	C₂³	1	2	yes	complemented
165	C₂×C₈×D₄₃	C₂³	1	2	yes	complemented
166	#13063325	—	2	1	no	—
167	#13063324	C₂³	1	2	yes	complemented
168	#13063322	—	2	1	no	—
169	#13063321	C₂³	1	2	yes	—
170	#13063320	—	2	2	no	—
171	#13063318	—	2	2	no	—
172	#13063318	—	2	2	no	—
173	#13063318	—	2	2	no	—
174	#13063317	—	2	1	no	—
175	#13063316	C₂³	1	2	yes	complemented
176	#13063315	—	2	2	no	—
177	#13063314	C₂³	1	2	yes	—
178	#13063313	—	2	1	no	—
179	#13063312	—	2	2	no	—
180	#13063311	—	2	2	no	—
181	#13063311	—	2	2	no	—
182	#13063310	—	2	2	no	—
183	#13063310	—	2	2	no	—
184	#13063308	D₄	1	2	yes	—
185	#13063307	—	2	2	no	—
186	#13063306	—	2	2	no	—
187	#13063304	—	2	1	no	—
188	#13063304	D₄	1	1	yes	characteristic
189	#13063304	D₄	1	1	yes	characteristic
190	#13063302	—	2	2	no	—
191	#13063301	C₂³	1	2	yes	complemented
192	#13063300	—	2	2	no	—
193	#13063300	—	2	2	no	—
194	#13063300	C₂³	1	2	yes	—
195	#13063300	C₂³	1	2	yes	—
196	#13063299	—	2	1	no	—
197	#13063299	—	2	1	no	—
198	#13063299	—	2	1	no	—
199	#13063299	D₄	1	1	yes	characteristic
200	#13063299	D₄	1	1	yes	characteristic
201	#13063298	—	2	2	no	—
202	#13063298	—	2	2	no	—
203	#13063297	—	2	2	no	—
204	#13063297	—	2	2	no	—
205	#13063296	—	2	2	no	—
206	#13063296	C₂³	1	2	yes	complemented
207	#13063295	—	2	2	no	—
208	#13063295	—	2	2	no	—
209	#13063295	—	2	2	no	—
210	#13063295	—	2	2	no	—
211	#13063295	—	2	2	no	—
212	#13063294	D₄	1	2	yes	—
213	#13063293	—	2	2	no	—
214	#13063293	—	2	2	no	—
215	#13063293	—	2	2	no	—
216	Q₈×Dic₄₃	C₂³	1	2	yes	complemented
217	C₄×Dic₈₆	—	2	1	no	—
218	#13063290	—	2	2	no	—
219	C₄×D₁₇₂	—	2	1	no	—
220	C₄×D₁₇₂	—	2	1	no	—
221	C₄×D₁₇₂	—	2	1	no	—
222	D₄×Dic₄₃	—	2	2	no	—
223	D₄×Dic₄₃	C₂³	1	2	yes	complemented
224	#13063287	C₂³	1	2	yes	—
225	#13063287	C₂³	1	2	yes	—
226	C₄×C₂²⋊D₄₃	C₂³	1	2	yes	—
227	C₄×C₂²⋊D₄₃	C₂³	1	2	yes	—
228	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
229	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
230	#13063284	—	2	1	no	—
231	#13063284	—	2	1	no	—
232	#13063284	—	2	1	no	—
233	#13063284	C₂³	1	2	yes	—
234	#13063284	C₂³	1	2	yes	—
235	#13063284	C₂³	1	1	yes	characteristic
236	#13063283	—	2	2	no	—
237	#13063283	C₂³	1	2	yes	complemented
238	#13063281	—	2	2	no	—
239	C₂×C₄⋊Dic₄₃	—	2	1	no	—
240	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
241	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
242	C₄⋊C₄×D₄₃	C₂³	1	2	yes	complemented
243	C₂×C₂²⋊Dic₄₃	—	2	1	no	—
244	C₂²⋊C₄×D₄₃	—	2	2	no	—
245	C₂²⋊C₄×D₄₃	—	2	2	no	—
246	C₂²⋊C₄×D₄₃	—	2	2	no	—
247	C₂×C₄×Dic₄₃	—	2	1	no	—
248	#13063258	C₂³	1	2	yes	complemented
249	#13063258	C₂³	1	2	yes	complemented
250	#13063256	C₂³	1	2	yes	complemented
251	#13063256	C₂³	1	2	yes	complemented
252	Dic₄₃⋊C₈	C₂³	1	2	yes	complemented
253	Dic₄₃⋊C₈	C₂³	1	2	yes	complemented
254	#13063249	C₂³	1	2	yes	complemented
255	#13063249	C₂³	1	2	yes	complemented
256	#13063247	C₂³	1	2	yes	—
257	#13063247	C₂³	1	2	yes	—
258	#13063247	C₂³	1	2	yes	—
259	#13063247	C₂³	1	2	yes	—
260	#13063247	C₂³	1	2	yes	—
261	#13063247	C₂³	1	2	yes	—
262	#13063247	C₂³	1	2	yes	—
263	#13063247	C₂³	1	2	yes	—
264	#13063246	C₂³	1	2	yes	complemented
265	#13063246	C₂³	1	2	yes	complemented
266	#13063245	C₂³	1	2	yes	—
267	#13063245	C₂³	1	2	yes	—
268	#13063245	C₂³	1	2	yes	—
269	#13063245	C₂³	1	2	yes	—
270	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
271	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
272	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	complemented
273	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	complemented
274	#13063235	C₂³	1	2	yes	complemented
275	C₈×Dic₄₃	C₂³	1	2	yes	complemented
276	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
277	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
278	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
279	#135×C₄₃	—	4	2	no	—
280	C₂×Q₁₆×C₄₃	C₂³	1	1	yes	characteristic, complemented
281	C₂×SD₁₆×C₄₃	C₂³	1	1	yes	characteristic, complemented
282	C₂×SD₁₆×C₄₃	C₂³	1	1	yes	characteristic, complemented
283	C₂×D₈×C₄₃	C₂³	1	1	yes	characteristic, complemented
284	C₂×M₁₆×C₄₃	—	4	2	no	—
285	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
286	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
287	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
288	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
289	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
290	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
291	#123×C₄₃	—	2	1	no	—
292	#123×C₄₃	—	2	1	no	—
293	C₂²⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
294	C₂²⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
295	C₂²⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
296	C₂²⋊Q₈×C₄₃	C₂³	1	1	yes	characteristic
297	#121×C₄₃	C₂³	1	1	yes	characteristic
298	#121×C₄₃	C₂³	1	1	yes	characteristic
299	#121×C₄₃	C₂³	1	1	yes	characteristic
300	#121×C₄₃	C₂³	1	1	yes	characteristic
301	#120×C₄₃	—	2	1	no	—
302	#120×C₄₃	—	2	1	no	—
303	C₄×D₄×C₄₃	—	2	1	no	—
304	C₄×D₄×C₄₃	—	2	1	no	—
305	C₄×D₄×C₄₃	—	2	1	no	—
306	C₄×D₄×C₄₃	—	2	1	no	—
307	#117×C₄₃	C₂³	1	1	yes	characteristic
308	#117×C₄₃	C₂³	1	1	yes	characteristic
309	#107×C₄₃	C₂³	1	1	yes	characteristic, complemented
310	#107×C₄₃	C₂³	1	1	yes	characteristic, complemented
311	#106×C₄₃	C₂³	1	1	yes	characteristic, complemented
312	#106×C₄₃	C₂³	1	1	yes	characteristic, complemented
313	#103×C₄₃	C₂³	1	1	yes	characteristic, complemented
314	#103×C₄₃	C₂³	1	1	yes	characteristic, complemented
315	#103×C₄₃	C₂³	1	1	yes	characteristic, complemented
316	#103×C₄₃	C₂³	1	1	yes	characteristic, complemented
317	#102×C₄₃	C₂³	1	1	yes	characteristic, complemented
318	#102×C₄₃	C₂³	1	1	yes	characteristic, complemented
319	#102×C₄₃	C₂³	1	1	yes	characteristic, complemented
320	#102×C₄₃	C₂³	1	1	yes	characteristic, complemented
321	C₂⁴×C₄₃	C₂×D₄	1	1	yes	characteristic
322	C₂³×D₄₃	—	2	1	no	—
323	C₂³×D₄₃	—	2	2	no	—
324	C₂³×D₄₃	—	2	2	no	—
325	C₂³×D₄₃	—	2	1	no	—
326	C₂³×D₄₃	—	2	2	no	—
327	C₂³×D₄₃	—	4	4	no	—
328	C₂³×D₄₃	—	8	2	no	—
329	C₂³×D₄₃	—	8	2	no	—
330	#41×C₄₃	—	2	2	no	—
331	#41×C₄₃	—	2	2	no	—
332	#41×C₄₃	—	2	2	no	—
333	#41×C₄₃	—	2	2	no	—
334	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
335	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
336	C₂×D₄×C₄₃	—	2	1	no	—
337	C₂×D₄×C₄₃	—	2	1	no	—
338	C₂×D₄×C₄₃	—	2	1	no	—
339	C₂×D₄×C₄₃	—	2	1	no	—
340	C₂×D₄×C₄₃	—	2	1	no	—
341	C₂×D₄×C₄₃	—	2	1	no	—
342	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
343	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
344	C₂²×C₄×C₄₃	—	2	2	no	—
345	C₂²×C₄×C₄₃	—	2	2	no	—
346	C₂²×C₄×C₄₃	—	2	1	no	—
347	C₂²×C₄×C₄₃	—	2	1	no	—
348	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
349	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
350	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
351	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
352	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
353	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
354	C₂×C₂²⋊D₄₃	—	2	2	no	—
355	C₂×C₂²⋊D₄₃	—	2	2	no	—
356	C₂×C₂²⋊D₄₃	—	2	2	no	—
357	C₂×C₂²⋊D₄₃	—	2	2	no	—
358	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
359	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
360	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
361	C₂²×Dic₄₃	—	2	2	no	—
362	C₂²×Dic₄₃	—	2	1	no	—
363	C₂²×Dic₄₃	—	2	1	no	—
364	#10621902	—	2	4	no	—
365	#10621902	—	4	2	no	—
366	D₄×D₄₃	—	2	4	no	—
367	D₄×D₄₃	—	4	8	no	—
368	D₄×D₄₃	—	4	2	no	—
369	D₄×D₄₃	—	8	4	no	—
370	D₄×D₄₃	—	8	4	no	—
371	#10621898	—	2	2	no	—
372	#10621898	—	2	2	no	—
373	#10621898	—	4	4	no	—
374	C₂×D₁₇₂	—	2	1	no	—
375	C₂×D₁₇₂	—	2	2	no	—
376	C₂×D₁₇₂	—	2	2	no	—
377	C₂×D₁₇₂	—	2	2	no	—
378	C₂×D₁₇₂	—	2	1	no	—
379	C₂×D₁₇₂	—	2	2	no	—
380	C₂×D₁₇₂	—	2	2	no	—
381	C₂×D₁₇₂	—	2	2	no	—
382	C₂×D₁₇₂	—	2	2	no	—
383	C₂×D₁₇₂	—	2	2	no	—
384	C₂×D₁₇₂	—	2	4	no	—
385	C₂×D₁₇₂	—	2	4	no	—
386	C₂×D₁₇₂	—	4	4	no	—
387	C₂×D₁₇₂	—	4	2	no	—
388	C₂×D₁₇₂	—	4	2	no	—
389	C₂×D₁₇₂	—	4	4	no	—
390	C₂×D₁₇₂	—	4	4	no	—
391	C₂×D₁₇₂	—	4	4	no	—
392	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
393	C₂×D₁₇₂	#41	1	4	yes	—
394	C₂×D₁₇₂	C₂⁴	1	2	yes	—
395	C₂×D₁₇₂	C₂⁴	1	2	yes	—
396	C₂×C₄×D₄₃	—	2	2	no	—
397	C₂×C₄×D₄₃	—	2	2	no	—
398	C₂×C₄×D₄₃	—	2	2	no	—
399	C₂×C₄×D₄₃	—	2	2	no	—
400	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
401	C₂×Dic₈₆	—	2	2	no	—
402	C₂×Dic₈₆	C₂×D₄	1	1	yes	characteristic
403	Q₁₆×C₄₃	—	4	1	no	—
404	SD₁₆×C₄₃	—	4	1	no	—
405	SD₁₆×C₄₃	—	4	1	no	—
406	D₈×C₄₃	—	4	1	no	—
407	M₁₆×C₄₃	—	4	1	no	—
408	M₁₆×C₄₃	—	4	1	no	—
409	M₁₆×C₄₃	—	4	1	no	—
410	M₁₆×C₄₃	—	4	1	no	—
411	C₂×C₈×C₄₃	—	2	2	no	—
412	C₂×C₈×C₄₃	—	2	2	no	—
413	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
414	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
415	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
416	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
417	C₄⋊C₄×C₄₃	—	2	1	no	—
418	C₄⋊C₄×C₄₃	—	2	1	no	—
419	C₄⋊C₄×C₄₃	—	2	1	no	—
420	C₄⋊C₄×C₄₃	—	2	1	no	—
421	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
422	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
423	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
424	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
425	C₂²⋊C₄×C₄₃	—	2	1	no	—
426	C₂²⋊C₄×C₄₃	—	2	1	no	—
427	C₂²⋊C₄×C₄₃	—	2	1	no	—
428	C₂²⋊C₄×C₄₃	—	2	1	no	—
429	C₂²⋊C₄×C₄₃	—	2	1	no	—
430	C₂²⋊C₄×C₄₃	—	2	1	no	—
431	C₂²⋊C₄×C₄₃	—	2	1	no	—
432	C₂²⋊C₄×C₄₃	—	2	1	no	—
433	C₂²⋊C₄×C₄₃	—	2	1	no	—
434	C₂²⋊C₄×C₄₃	—	2	1	no	—
435	C₄²×C₄₃	—	2	1	no	—
436	C₄²×C₄₃	—	2	1	no	—
437	C₂²⋊Dic₄₃	—	2	2	no	—
438	C₂²⋊Dic₄₃	—	2	2	no	—
439	C₂²⋊Dic₄₃	—	2	2	no	—
440	C₂²⋊Dic₄₃	—	2	2	no	—
441	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
442	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
443	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
444	#10621884	—	2	4	no	—
445	#10621884	—	4	2	no	—
446	#10621882	—	2	4	no	—
447	#10621882	—	4	2	no	—
448	(C₂×D₄₃)⋊C₄	—	2	2	no	—
449	(C₂×D₄₃)⋊C₄	—	2	2	no	—
450	(C₂×D₄₃)⋊C₄	—	2	2	no	—
451	(C₂×D₄₃)⋊C₄	—	2	2	no	—
452	(C₂×D₄₃)⋊C₄	—	2	2	no	—
453	(C₂×D₄₃)⋊C₄	—	2	2	no	—
454	(C₂×D₄₃)⋊C₄	—	2	2	no	—
455	(C₂×D₄₃)⋊C₄	—	2	2	no	—
456	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
457	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
458	C₄⋊Dic₄₃	—	2	1	no	—
459	C₄⋊Dic₄₃	—	2	1	no	—
460	C₄⋊Dic₄₃	—	2	2	no	—
461	C₄⋊Dic₄₃	—	2	2	no	—
462	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
463	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
464	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
465	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
466	Dic₄₃⋊C₄	—	2	2	no	—
467	Dic₄₃⋊C₄	—	2	2	no	—
468	Dic₄₃⋊C₄	—	2	2	no	—
469	Dic₄₃⋊C₄	—	2	2	no	—
470	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
471	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
472	C₄×Dic₄₃	—	2	2	no	—
473	C₄×Dic₄₃	—	2	2	no	—
474	C₄×Dic₄₃	—	2	2	no	—
475	C₄×Dic₄₃	—	2	2	no	—
476	C₄×Dic₄₃	C₂⁴	1	2	yes	—
477	#10621877	—	2	2	no	—
478	#10621877	—	2	2	no	—
479	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
480	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
481	#10621872	—	4	2	no	—
482	C₈×D₄₃	—	4	2	no	—
483	C₂³×C₄₃	—	2	2	no	—
484	C₂³×C₄₃	—	2	1	no	—
485	C₂³×C₄₃	—	2	1	no	—
486	C₂³×C₄₃	—	4	1	no	—
487	C₂³×C₄₃	—	4	1	no	—
488	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
489	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
490	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
491	C₂²×D₄₃	—	2	2	no	—
492	C₂²×D₄₃	—	2	4	no	—
493	C₂²×D₄₃	—	2	2	no	—
494	C₂²×D₄₃	—	4	4	no	—
495	C₂²×D₄₃	—	4	4	no	—
496	C₂²×D₄₃	—	4	4	no	—
497	C₂²×D₄₃	—	4	4	no	—
498	C₂²×D₄₃	—	4	4	no	—
499	C₂²×D₄₃	—	4	2	no	—
500	C₂²×D₄₃	—	8	2	no	—
501	C₂²×D₄₃	—	8	2	no	—
502	C₂²×D₄₃	—	8	1	no	—
503	C₂²×D₄₃	—	8	1	no	—
504	C₂²×D₄₃	—	8	2	no	—
505	C₂²×D₄₃	—	8	2	no	—
506	C₂²×D₄₃	—	8	1	no	—
507	C₂²×D₄₃	—	8	1	no	—
508	C₂²×D₄₃	—	8	16	no	—
509	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
510	Q₈×C₄₃	—	2	1	no	—
511	Q₈×C₄₃	—	2	1	no	—
512	Q₈×C₄₃	—	2	1	no	—
513	Q₈×C₄₃	—	2	1	no	—
514	D₄×C₄₃	—	2	1	no	—
515	D₄×C₄₃	—	2	1	no	—
516	D₄×C₄₃	—	2	1	no	—
517	D₄×C₄₃	—	2	1	no	—
518	D₄×C₄₃	—	4	2	no	—
519	D₄×C₄₃	—	4	2	no	—
520	D₄×C₄₃	—	4	2	no	—
521	D₄×C₄₃	—	4	2	no	—
522	D₄×C₄₃	—	8	1	no	—
523	D₄×C₄₃	—	8	1	no	—
524	C₂×C₄×C₄₃	—	2	2	no	—
525	C₂×C₄×C₄₃	—	2	2	no	—
526	C₂×C₄×C₄₃	—	2	2	no	—
527	C₂×C₄×C₄₃	—	2	1	no	—
528	C₂×C₄×C₄₃	—	2	1	no	—
529	C₂×C₄×C₄₃	—	2	1	no	—
530	C₂×C₄×C₄₃	—	2	1	no	—
531	C₂×C₄×C₄₃	—	2	1	no	—
532	C₂×C₄×C₄₃	—	2	1	no	—
533	C₂×C₄×C₄₃	—	2	1	no	—
534	C₂×C₄×C₄₃	—	2	1	no	—
535	C₂×C₄×C₄₃	—	2	1	no	—
536	C₂×C₄×C₄₃	—	2	1	no	—
537	C₂×C₄×C₄₃	—	4	2	no	—
538	C₂×C₄×C₄₃	—	4	2	no	—
539	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
540	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
541	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
542	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
543	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
544	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
545	C₂²⋊D₄₃	—	2	4	no	—
546	C₂²⋊D₄₃	—	4	2	no	—
547	C₂²⋊D₄₃	—	4	2	no	—
548	C₂²⋊D₄₃	—	4	4	no	—
549	C₂²⋊D₄₃	—	8	2	no	—
550	C₂²⋊D₄₃	—	8	2	no	—
551	C₂²⋊D₄₃	—	8	2	no	—
552	C₂×Dic₄₃	—	2	2	no	—
553	C₂×Dic₄₃	—	2	2	no	—
554	C₂×Dic₄₃	—	8	2	no	—
555	C₂×Dic₄₃	—	8	1	no	—
556	C₂×Dic₄₃	—	8	1	no	—
557	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
558	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
559	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
560	D₁₇₂	—	2	4	no	—
561	D₁₇₂	—	2	2	no	—
562	D₁₇₂	—	2	2	no	—
563	D₁₇₂	—	2	2	no	—
564	D₁₇₂	—	2	2	no	—
565	D₁₇₂	—	4	4	no	—
566	D₁₇₂	—	4	4	no	—
567	D₁₇₂	—	4	4	no	—
568	D₁₇₂	—	4	2	no	—
569	D₁₇₂	—	8	2	no	—
570	D₁₇₂	—	8	2	no	—
571	D₁₇₂	C₂×#41	1	4	yes	—
572	C₄×D₄₃	—	2	2	no	—
573	C₄×D₄₃	—	2	2	no	—
574	C₄×D₄₃	—	4	4	no	—
575	C₄×D₄₃	—	8	2	no	—
576	C₄×D₄₃	—	8	2	no	—
577	C₄×D₄₃	—	8	2	no	—
578	Dic₈₆	—	2	2	no	—
579	Dic₈₆	—	8	2	no	—
580	C₈×C₄₃	—	2	1	no	—
581	C₈×C₄₃	—	2	1	no	—
582	C₈×C₄₃	—	2	1	no	—
583	C₈×C₄₃	—	2	1	no	—
584	C₄₃⋊C₈	—	2	2	no	—
585	C₄₃⋊C₈	—	2	2	no	—
586	#61175	—	43	1	no	maximal, Sylow
587	C₂²×C₄₃	—	2	1	no	—
588	C₂²×C₄₃	—	2	1	no	—
589	C₂²×C₄₃	—	2	1	no	—
590	C₂²×C₄₃	—	2	1	no	—
591	C₂²×C₄₃	—	2	1	no	—
592	C₂²×C₄₃	—	2	1	no	—
593	C₂²×C₄₃	—	2	1	no	—
594	C₂²×C₄₃	—	2	1	no	—
595	C₂²×C₄₃	—	4	4	no	—
596	C₂²×C₄₃	—	4	1	no	—
597	C₂²×C₄₃	—	4	1	no	—
598	C₂²×C₄₃	—	4	1	no	—
599	C₂²×C₄₃	—	4	1	no	—
600	C₂²×C₄₃	—	4	1	no	—
601	C₂²×C₄₃	—	4	1	no	—
602	C₂²×C₄₃	#546	1	2	yes	—
603	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
604	C₂×D₄₃	—	2	2	no	—
605	C₂×D₄₃	—	2	2	no	—
606	C₂×D₄₃	—	2	4	no	—
607	C₂×D₄₃	—	2	2	no	—
608	C₂×D₄₃	—	4	2	no	—
609	C₂×D₄₃	—	4	2	no	—
610	C₂×D₄₃	—	4	2	no	—
611	C₂×D₄₃	—	4	2	no	—
612	C₂×D₄₃	—	4	2	no	—
613	C₂×D₄₃	—	8	4	no	—
614	C₂×D₄₃	—	8	8	no	—
615	C₂×D₄₃	—	8	8	no	—
616	C₂×D₄₃	—	8	4	no	—
617	C₂×D₄₃	—	16	4	no	—
618	C₄×C₄₃	—	2	1	no	—
619	C₄×C₄₃	—	2	1	no	—
620	C₄×C₄₃	—	4	1	no	—
621	C₄×C₄₃	—	4	1	no	—
622	C₄×C₄₃	—	4	1	no	—
623	C₄×C₄₃	—	4	1	no	—
624	C₄×C₄₃	—	4	1	no	—
625	C₄×C₄₃	—	4	1	no	—
626	C₄×C₄₃	#546	1	2	yes	—
627	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
628	C₄×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
629	Dic₄₃	—	2	2	no	—
630	Dic₄₃	—	2	2	no	—
631	Dic₄₃	—	2	2	no	—
632	Dic₄₃	—	4	2	no	—
633	Dic₄₃	—	4	2	no	—
634	#3493	—	43	1	no	—
635	#3484	—	43	1	no	—
636	#3325	—	43	2	no	—
637	#3324	—	43	2	no	—
638	#3323	—	43	2	no	—
639	#3322	—	43	2	no	—
640	#3319	—	43	2	no	—
641	#3318	—	43	2	no	—
642	#3311	—	43	2	no	—
643	#3310	—	43	2	no	—
644	#3136	—	43	1	no	—
645	#3096	—	43	1	no	—
646	#3093	—	43	1	no	—
647	#3081	—	43	1	no	—
648	#3062	—	43	1	no	—
649	#3054	D₄₃	1	1	yes	characteristic, complemented
650	#3045	—	43	1	no	—
651	#3012	—	43	1	no	—
652	#3003	—	43	1	no	—
653	#2946	—	43	1	no	—
654	#2930	—	43	1	no	—
655	#2897	—	43	1	no	—
656	C₂×#418	—	43	1	no	—
657	C₂×C₄₃	—	2	2	no	—
658	C₂×C₄₃	—	4	1	no	—
659	C₂×C₄₃	—	4	1	no	—
660	C₂×C₄₃	—	8	1	no	—
661	C₂×C₄₃	—	8	1	no	—
662	C₂×C₄₃	C₂×#546	1	1	yes	characteristic
663	C₂×C₄₃	#3585	1	1	yes	characteristic
664	C₂×C₄₃	#3585	1	1	yes	characteristic
665	D₄₃	—	4	2	no	—
666	D₄₃	—	4	4	no	—
667	D₄₃	—	8	2	no	—
668	C₂×H(5,𝔽₂)	—	43	1	no	—
669	C₂³×D₄	—	43	1	no	—
670	C₂×AGL(1,ℤ/8)	—	43	1	no	—
671	C₂×AGL(1,ℤ/8)	—	43	1	no	—
672	C₂×#135	C₂×D₄₃	1	1	yes	characteristic, complemented
673	C₂×#131	—	43	1	no	—
674	C₂²×M₁₆	C₂×D₄₃	1	1	yes	characteristic, complemented
675	#556	—	43	2	no	—
676	#556	—	86	1	no	—
677	#555	—	43	2	no	—
678	#555	—	86	1	no	—
679	#553	—	43	2	no	—
680	#553	—	86	1	no	—
681	#552	—	43	2	no	—
682	#552	—	86	1	no	—
683	#546	—	43	2	no	—
684	#546	—	43	2	no	—
685	#546	—	86	1	no	—
686	#546	—	86	1	no	—
687	D₄²	—	43	2	no	—
688	D₄²	—	43	2	no	—
689	D₄²	—	86	1	no	—
690	D₄²	—	86	1	no	—
691	#544	—	43	1	no	—
692	#538	—	86	2	no	—
693	#537	—	43	1	no	—
694	#535	—	43	1	no	—
695	#535	—	43	1	no	—
696	#534	—	86	2	no	—
697	#529	—	86	2	no	—
698	#525	—	43	1	no	—
699	#525	C₂×D₄₃	1	1	yes	characteristic
700	#525	C₂×D₄₃	1	1	yes	characteristic, complemented
701	C₂×#120	—	86	2	no	—
702	#520	—	43	1	no	—
703	#520	—	43	1	no	—
704	#518	—	43	1	no	—
705	C₂×#117	—	43	1	no	—
706	#490	—	43	2	no	—
707	#489	—	43	2	no	—
708	#488	—	43	2	no	—
709	#486	—	43	2	no	—
710	#485	—	43	2	no	—
711	#485	—	43	2	no	—
712	#482	—	43	2	no	—
713	#482	—	43	2	no	—
714	#482	—	43	2	no	—
715	#482	—	43	2	no	—
716	#481	—	43	2	no	—
717	#480	—	43	2	no	—
718	#478	—	43	2	no	—
719	#478	—	43	2	no	—
720	#476	—	43	2	no	—
721	#474	—	43	2	no	—
722	#470	C₂×D₄₃	1	1	yes	characteristic, complemented
723	#470	C₂×D₄₃	1	1	yes	characteristic, complemented
724	#469	—	43	2	no	—
725	#469	C₂×D₄₃	1	1	yes	characteristic, complemented
726	#469	C₂×D₄₃	1	1	yes	characteristic, complemented
727	#468	—	43	2	no	—
728	#468	C₂×D₄₃	1	1	yes	characteristic, complemented
729	#468	C₂×D₄₃	1	1	yes	characteristic, complemented
730	#468	C₂×D₄₃	1	1	yes	characteristic, complemented
731	#468	C₂×D₄₃	1	1	yes	characteristic, complemented
732	#466	—	43	2	no	—
733	#465	—	43	2	no	—
734	#464	—	43	2	no	—
735	#463	—	43	2	no	—
736	#460	—	43	2	no	—
737	#459	—	43	2	no	—
738	#452	—	43	2	no	—
739	#450	—	43	2	no	—
740	#450	—	43	2	no	—
741	#450	—	43	2	no	—
742	#449	—	43	2	no	—
743	#447	—	43	2	no	—
744	#447	—	43	2	no	—
745	#447	—	43	2	no	—
746	#442	—	43	2	no	—
747	#440	—	43	2	no	—
748	C₄×SD₁₆	—	43	2	no	—
749	C₄×D₈	—	43	2	no	—
750	#436	—	43	2	no	—
751	#436	—	43	2	no	—
752	#435	—	43	2	no	—
753	#435	—	43	2	no	—
754	#428	—	43	1	no	—
755	#428	—	43	1	no	—
756	#427	C₂×D₄₃	1	1	yes	characteristic, complemented
757	#424	—	43	1	no	—
758	#418	—	43	2	no	—
759	#418	—	43	2	no	—
760	#418	—	43	2	no	—
761	#418	—	43	2	no	—
762	#418	—	43	1	no	—
763	#418	—	43	1	no	—
764	#418	—	43	2	no	—
765	#417	—	43	1	no	—
766	#417	—	43	1	no	—
767	#417	—	43	2	no	—
768	#416	—	43	2	no	—
769	#416	C₂×D₄₃	1	1	yes	characteristic, complemented
770	#416	C₂×D₄₃	1	1	yes	characteristic, complemented
771	C₂×#102	—	43	1	no	—
772	C₂×#102	—	43	1	no	—
773	C₂×#102	—	43	1	no	—
774	C₂×#102	—	43	1	no	—
775	C₂×#102	—	43	2	no	—
776	#408	—	43	1	no	—
777	#407	—	43	1	no	—
778	#405	—	43	1	no	—
779	C₄₃	#61175	1	1	yes	characteristic, complemented, Sylow
780	C₂⁵	—	86	1	no	—
781	H(5,𝔽₂)	—	86	4	no	—
782	H(5,𝔽₂)	—	172	2	no	—
783	C₂×#41	—	43	1	no	—
784	C₂×#41	—	43	2	no	—
785	C₂×#41	—	86	1	no	—
786	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
787	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
788	C₂²×D₄	—	43	2	no	—
789	C₂²×D₄	—	43	1	no	—
790	C₂²×D₄	—	43	1	no	—
791	C₂²×D₄	—	43	2	no	—
792	C₂²×D₄	—	43	2	no	—
793	C₂²×D₄	—	86	4	no	—
794	C₂²×D₄	—	86	1	no	—
795	C₂²×D₄	—	86	2	no	—
796	C₂²×D₄	—	86	2	no	—
797	C₂²×D₄	—	86	2	no	—
798	C₂²×D₄	—	86	1	no	—
799	C₂²×D₄	—	86	1	no	—
800	C₂²×D₄	—	86	1	no	—
801	C₂²×D₄	—	172	2	no	—
802	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
803	AGL(1,ℤ/8)	—	86	4	no	—
804	AGL(1,ℤ/8)	—	172	2	no	—
805	#135	—	4	2	no	—
806	C₂×Q₁₆	C₂²×D₄₃	1	1	yes	characteristic, complemented
807	C₂×SD₁₆	—	43	2	no	—
808	C₂×SD₁₆	—	43	2	no	—
809	C₂×SD₁₆	C₂²×D₄₃	1	1	yes	characteristic, complemented
810	C₂×SD₁₆	C₂²×D₄₃	1	1	yes	characteristic, complemented
811	C₂×D₈	—	43	2	no	—
812	C₂×D₈	—	43	2	no	—
813	C₂×D₈	C₂²×D₄₃	1	1	yes	characteristic, complemented
814	#131	—	172	2	no	—
815	C₂×M₁₆	—	4	2	no	—
816	C₂×M₁₆	—	43	1	no	—
817	C₂×M₁₆	—	43	1	no	—
818	C₂×M₁₆	—	43	2	no	—
819	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
820	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
821	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
822	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
823	C₂²×C₈	—	43	2	no	—
824	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
825	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
826	C₄⋊Q₈	—	43	2	no	—
827	C₄⋊Q₈	—	86	1	no	—
828	#127	—	43	2	no	—
829	#127	—	86	1	no	—
830	#126	—	86	2	no	—
831	#126	—	86	2	no	—
832	#126	—	86	2	no	—
833	#126	—	86	2	no	—
834	#125	—	43	2	no	—
835	#125	—	86	1	no	—
836	#125	—	86	2	no	—
837	#124	—	43	2	no	—
838	#124	—	86	1	no	—
839	#124	—	86	2	no	—
840	#124	—	86	2	no	—
841	#124	—	86	2	no	—
842	#123	—	2	1	no	—
843	#123	—	2	1	no	—
844	#123	—	43	2	no	—
845	#123	—	86	2	no	—
846	#123	—	86	2	no	—
847	#123	—	86	2	no	—
848	#123	—	86	2	no	—
849	C₂²⋊Q₈	—	43	1	no	—
850	C₂²⋊Q₈	—	43	1	no	—
851	C₂²⋊Q₈	—	43	2	no	—
852	C₂²⋊Q₈	—	86	2	no	—
853	C₂²⋊Q₈	—	86	1	no	—
854	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
855	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
856	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
857	C₂²⋊Q₈	C₂²×D₄₃	1	1	yes	characteristic
858	#121	—	43	1	no	—
859	#121	—	43	1	no	—
860	#121	—	43	2	no	—
861	#121	—	43	2	no	—
862	#121	—	43	2	no	—
863	#121	—	86	2	no	—
864	#121	—	86	2	no	—
865	#121	—	86	2	no	—
866	#121	—	86	2	no	—
867	#121	—	86	1	no	—
868	#121	—	86	1	no	—
869	#121	—	86	1	no	—
870	#121	—	86	2	no	—
871	#121	—	86	2	no	—
872	#121	—	86	2	no	—
873	#121	C₂²×D₄₃	1	1	yes	characteristic
874	#121	C₂²×D₄₃	1	1	yes	characteristic
875	#121	C₂²×D₄₃	1	1	yes	characteristic
876	#121	C₂²×D₄₃	1	1	yes	characteristic
877	#120	—	2	1	no	—
878	#120	—	2	1	no	—
879	#120	—	43	2	no	—
880	#120	—	86	2	no	—
881	#120	—	86	2	no	—
882	#120	—	86	2	no	—
883	#120	—	86	2	no	—
884	#120	—	86	2	no	—
885	#120	—	86	2	no	—
886	#120	—	86	2	no	—
887	#120	—	86	2	no	—
888	C₄×Q₈	—	43	2	no	—
889	C₄×Q₈	—	86	1	no	—
890	C₄×Q₈	—	86	2	no	—
891	C₄×D₄	—	2	1	no	—
892	C₄×D₄	—	2	1	no	—
893	C₄×D₄	—	2	1	no	—
894	C₄×D₄	—	2	1	no	—
895	C₄×D₄	—	43	2	no	—
896	C₄×D₄	—	43	2	no	—
897	C₄×D₄	—	43	2	no	—
898	C₄×D₄	—	43	2	no	—
899	C₄×D₄	—	43	2	no	—
900	C₄×D₄	—	86	1	no	—
901	C₄×D₄	—	86	1	no	—
902	C₄×D₄	—	86	1	no	—
903	C₄×D₄	—	86	2	no	—
904	C₄×D₄	—	86	2	no	—
905	C₄×D₄	—	86	2	no	—
906	#117	—	43	1	no	—
907	#117	—	43	2	no	—
908	#117	—	43	2	no	—
909	#117	—	43	2	no	—
910	#117	—	86	2	no	—
911	#117	—	86	2	no	—
912	#117	—	86	1	no	—
913	#117	—	86	1	no	—
914	#117	—	86	1	no	—
915	#117	C₂²×D₄₃	1	1	yes	characteristic
916	#117	C₂²×D₄₃	1	1	yes	characteristic
917	C₂×C₄⋊C₄	—	43	1	no	—
918	C₂×C₄⋊C₄	—	43	1	no	—
919	C₂×C₄⋊C₄	—	43	2	no	—
920	C₂×C₄⋊C₄	—	86	1	no	—
921	C₂×C₂²⋊C₄	—	86	2	no	—
922	C₂×C₂²⋊C₄	—	86	2	no	—
923	C₂×C₂²⋊C₄	—	86	2	no	—
924	C₂×C₂²⋊C₄	—	86	1	no	—
925	C₂×C₄²	—	86	1	no	—
926	#107	—	43	2	no	—
927	#107	—	43	2	no	—
928	#107	C₂²×D₄₃	1	1	yes	characteristic, complemented
929	#107	C₂²×D₄₃	1	1	yes	characteristic, complemented
930	#106	—	43	2	no	—
931	#106	—	43	2	no	—
932	#106	C₂²×D₄₃	1	1	yes	characteristic, complemented
933	#106	C₂²×D₄₃	1	1	yes	characteristic, complemented
934	C₄⋊C₈	—	43	2	no	—
935	C₄⋊C₈	—	43	2	no	—
936	#103	—	43	2	no	—
937	#103	—	43	2	no	—
938	#103	C₂²×D₄₃	1	1	yes	characteristic, complemented
939	#103	C₂²×D₄₃	1	1	yes	characteristic, complemented
940	#103	C₂²×D₄₃	1	1	yes	characteristic, complemented
941	#103	C₂²×D₄₃	1	1	yes	characteristic, complemented
942	#102	—	43	2	no	—
943	#102	—	43	2	no	—
944	#102	—	43	2	no	—
945	#102	—	43	2	no	—
946	#102	—	43	2	no	—
947	#102	—	43	2	no	—
948	#102	—	43	2	no	—
949	#102	—	43	2	no	—
950	#102	—	43	2	no	—
951	#102	—	43	2	no	—
952	#102	—	43	2	no	—
953	#102	—	43	2	no	—
954	#102	—	43	2	no	—
955	#102	—	43	2	no	—
956	#102	C₂²×D₄₃	1	1	yes	characteristic, complemented
957	#102	C₂²×D₄₃	1	1	yes	characteristic, complemented
958	#102	C₂²×D₄₃	1	1	yes	characteristic, complemented
959	#102	C₂²×D₄₃	1	1	yes	characteristic, complemented
960	C₂²⋊C₈	—	43	2	no	—
961	C₂²⋊C₈	—	43	2	no	—
962	C₂²⋊C₈	—	43	2	no	—
963	C₂²⋊C₈	—	43	2	no	—
964	#97	—	43	2	no	—
965	C₄×C₈	—	43	2	no	—
966	C₂⁴	—	86	2	no	—
967	C₂⁴	—	86	1	no	—
968	C₂⁴	—	86	1	no	—
969	C₂⁴	—	86	2	no	—
970	C₂⁴	—	86	2	no	—
971	C₂⁴	—	344	2	no	—
972	C₂⁴	—	344	2	no	—
973	C₂⁴	—	172	4	no	—
974	C₂⁴	D₄×D₄₃	1	1	yes	characteristic
975	#41	—	2	2	no	—
976	#41	—	2	2	no	—
977	#41	—	2	2	no	—
978	#41	—	2	2	no	—
979	#41	—	86	2	no	—
980	#41	—	86	2	no	—
981	#41	—	86	4	no	—
982	#41	—	172	4	no	—
983	#41	—	172	2	no	—
984	C₂×Q₈	—	43	1	no	—
985	C₂×Q₈	—	86	2	no	—
986	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
987	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
988	C₂×D₄	—	2	1	no	—
989	C₂×D₄	—	2	1	no	—
990	C₂×D₄	—	2	1	no	—
991	C₂×D₄	—	2	1	no	—
992	C₂×D₄	—	2	1	no	—
993	C₂×D₄	—	2	1	no	—
994	C₂×D₄	—	43	2	no	—
995	C₂×D₄	—	43	2	no	—
996	C₂×D₄	—	43	2	no	—
997	C₂×D₄	—	43	1	no	—
998	C₂×D₄	—	43	4	no	—
999	C₂×D₄	—	43	2	no	—
1000	C₂×D₄	—	43	2	no	—
1001	C₂×D₄	—	86	4	no	—
1002	C₂×D₄	—	86	4	no	—
1003	C₂×D₄	—	86	2	no	—
1004	C₂×D₄	—	86	2	no	—
1005	C₂×D₄	—	86	2	no	—
1006	C₂×D₄	—	86	2	no	—
1007	C₂×D₄	—	86	2	no	—
1008	C₂×D₄	—	86	2	no	—
1009	C₂×D₄	—	86	4	no	—
1010	C₂×D₄	—	86	2	no	—
1011	C₂×D₄	—	86	1	no	—
1012	C₂×D₄	—	86	2	no	—
1013	C₂×D₄	—	86	2	no	—
1014	C₂×D₄	—	86	1	no	—
1015	C₂×D₄	—	86	2	no	—
1016	C₂×D₄	—	86	2	no	—
1017	C₂×D₄	—	86	2	no	—
1018	C₂×D₄	—	344	4	no	—
1019	C₂×D₄	—	344	4	no	—
1020	C₂×D₄	—	172	2	no	—
1021	C₂×D₄	—	172	2	no	—
1022	C₂×D₄	—	172	4	no	—
1023	C₂×D₄	—	172	4	no	—
1024	C₂×D₄	—	172	4	no	—
1025	C₂×D₄	—	172	4	no	—
1026	C₂×D₄	—	172	2	no	—
1027	C₂×D₄	—	172	8	no	—
1028	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
1029	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
1030	C₂²×C₄	—	2	2	no	—
1031	C₂²×C₄	—	2	2	no	—
1032	C₂²×C₄	—	2	1	no	—
1033	C₂²×C₄	—	2	1	no	—
1034	C₂²×C₄	—	43	2	no	—
1035	C₂²×C₄	—	86	2	no	—
1036	C₂²×C₄	—	86	2	no	—
1037	C₂²×C₄	—	86	2	no	—
1038	C₂²×C₄	—	86	2	no	—
1039	C₂²×C₄	—	86	2	no	—
1040	C₂²×C₄	—	86	1	no	—
1041	C₂²×C₄	—	86	1	no	—
1042	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
1043	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
1044	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
1045	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1046	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1047	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1048	Q₁₆	—	4	1	no	—
1049	SD₁₆	—	4	1	no	—
1050	SD₁₆	—	4	1	no	—
1051	SD₁₆	—	86	4	no	—
1052	SD₁₆	—	172	2	no	—
1053	D₈	—	4	1	no	—
1054	D₈	—	86	4	no	—
1055	D₈	—	172	2	no	—
1056	M₁₆	—	4	1	no	—
1057	M₁₆	—	4	1	no	—
1058	M₁₆	—	4	1	no	—
1059	M₁₆	—	4	1	no	—
1060	M₁₆	—	86	2	no	—
1061	M₁₆	—	86	2	no	—
1062	M₁₆	—	172	2	no	—
1063	C₂×C₈	—	2	2	no	—
1064	C₂×C₈	—	2	2	no	—
1065	C₂×C₈	—	43	2	no	—
1066	C₂×C₈	—	43	2	no	—
1067	C₂×C₈	—	172	2	no	—
1068	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1069	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1070	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1071	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
1072	C₄⋊C₄	—	2	1	no	—
1073	C₄⋊C₄	—	2	1	no	—
1074	C₄⋊C₄	—	2	1	no	—
1075	C₄⋊C₄	—	2	1	no	—
1076	C₄⋊C₄	—	43	1	no	—
1077	C₄⋊C₄	—	43	1	no	—
1078	C₄⋊C₄	—	43	2	no	—
1079	C₄⋊C₄	—	43	2	no	—
1080	C₄⋊C₄	—	43	2	no	—
1081	C₄⋊C₄	—	43	2	no	—
1082	C₄⋊C₄	—	86	2	no	—
1083	C₄⋊C₄	—	86	2	no	—
1084	C₄⋊C₄	—	86	2	no	—
1085	C₄⋊C₄	—	86	2	no	—
1086	C₄⋊C₄	—	86	2	no	—
1087	C₄⋊C₄	—	86	2	no	—
1088	C₄⋊C₄	—	86	1	no	—
1089	C₄⋊C₄	—	86	1	no	—
1090	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1091	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1092	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1093	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
1094	C₂²⋊C₄	—	2	1	no	—
1095	C₂²⋊C₄	—	2	1	no	—
1096	C₂²⋊C₄	—	2	1	no	—
1097	C₂²⋊C₄	—	2	1	no	—
1098	C₂²⋊C₄	—	2	1	no	—
1099	C₂²⋊C₄	—	2	1	no	—
1100	C₂²⋊C₄	—	2	1	no	—
1101	C₂²⋊C₄	—	2	1	no	—
1102	C₂²⋊C₄	—	2	1	no	—
1103	C₂²⋊C₄	—	2	1	no	—
1104	C₂²⋊C₄	—	43	2	no	—
1105	C₂²⋊C₄	—	43	2	no	—
1106	C₂²⋊C₄	—	43	2	no	—
1107	C₂²⋊C₄	—	43	2	no	—
1108	C₂²⋊C₄	—	43	2	no	—
1109	C₂²⋊C₄	—	86	2	no	—
1110	C₂²⋊C₄	—	86	2	no	—
1111	C₂²⋊C₄	—	86	2	no	—
1112	C₂²⋊C₄	—	86	2	no	—
1113	C₂²⋊C₄	—	86	2	no	—
1114	C₂²⋊C₄	—	86	2	no	—
1115	C₂²⋊C₄	—	86	2	no	—
1116	C₂²⋊C₄	—	86	2	no	—
1117	C₂²⋊C₄	—	86	2	no	—
1118	C₂²⋊C₄	—	86	2	no	—
1119	C₂²⋊C₄	—	86	2	no	—
1120	C₂²⋊C₄	—	86	2	no	—
1121	C₄²	—	2	1	no	—
1122	C₄²	—	2	1	no	—
1123	C₄²	—	43	2	no	—
1124	C₄²	—	86	2	no	—
1125	C₄²	—	86	2	no	—
1126	C₄²	—	86	2	no	—
1127	C₄²	—	86	2	no	—
1128	C₂³	—	2	2	no	—
1129	C₂³	—	2	1	no	—
1130	C₂³	—	2	1	no	—
1131	C₂³	—	4	1	no	—
1132	C₂³	—	4	1	no	—
1133	C₂³	—	43	2	no	—
1134	C₂³	—	86	4	no	—
1135	C₂³	—	86	2	no	—
1136	C₂³	—	86	2	no	—
1137	C₂³	—	344	1	no	—
1138	C₂³	—	344	1	no	—
1139	C₂³	—	344	1	no	—
1140	C₂³	—	344	1	no	—
1141	C₂³	—	344	2	no	—
1142	C₂³	—	344	2	no	—
1143	C₂³	—	344	2	no	—
1144	C₂³	—	344	2	no	—
1145	C₂³	—	344	16	no	—
1146	C₂³	—	172	4	no	—
1147	C₂³	—	172	4	no	—
1148	C₂³	—	172	4	no	—
1149	C₂³	—	172	4	no	—
1150	C₂³	—	172	4	no	—
1151	C₂³	—	172	2	no	—
1152	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1153	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1154	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1155	Q₈	—	2	1	no	—
1156	Q₈	—	2	1	no	—
1157	Q₈	—	2	1	no	—
1158	Q₈	—	2	1	no	—
1159	Q₈	—	86	2	no	—
1160	Q₈	—	344	2	no	—
1161	D₄	—	2	1	no	—
1162	D₄	—	2	1	no	—
1163	D₄	—	2	1	no	—
1164	D₄	—	2	1	no	—
1165	D₄	—	4	2	no	—
1166	D₄	—	4	2	no	—
1167	D₄	—	4	2	no	—
1168	D₄	—	4	2	no	—
1169	D₄	—	8	1	no	—
1170	D₄	—	8	1	no	—
1171	D₄	—	43	4	no	—
1172	D₄	—	86	4	no	—
1173	D₄	—	86	2	no	—
1174	D₄	—	86	2	no	—
1175	D₄	—	86	2	no	—
1176	D₄	—	86	4	no	—
1177	D₄	—	86	2	no	—
1178	D₄	—	344	2	no	—
1179	D₄	—	344	2	no	—
1180	D₄	—	344	2	no	—
1181	D₄	—	344	2	no	—
1182	D₄	—	344	2	no	—
1183	D₄	—	172	4	no	—
1184	D₄	—	172	4	no	—
1185	D₄	—	172	4	no	—
1186	D₄	—	172	2	no	—
1187	D₄	—	172	2	no	—
1188	D₄	—	172	4	no	—
1189	D₄	—	172	2	no	—
1190	C₂×C₄	—	2	2	no	—
1191	C₂×C₄	—	2	1	no	—
1192	C₂×C₄	—	2	1	no	—
1193	C₂×C₄	—	2	1	no	—
1194	C₂×C₄	—	2	1	no	—
1195	C₂×C₄	—	2	2	no	—
1196	C₂×C₄	—	2	2	no	—
1197	C₂×C₄	—	2	1	no	—
1198	C₂×C₄	—	2	1	no	—
1199	C₂×C₄	—	2	1	no	—
1200	C₂×C₄	—	2	1	no	—
1201	C₂×C₄	—	2	1	no	—
1202	C₂×C₄	—	2	1	no	—
1203	C₂×C₄	—	4	2	no	—
1204	C₂×C₄	—	4	2	no	—
1205	C₂×C₄	—	43	2	no	—
1206	C₂×C₄	—	43	2	no	—
1207	C₂×C₄	—	43	2	no	—
1208	C₂×C₄	—	86	2	no	—
1209	C₂×C₄	—	86	2	no	—
1210	C₂×C₄	—	86	2	no	—
1211	C₂×C₄	—	86	2	no	—
1212	C₂×C₄	—	344	2	no	—
1213	C₂×C₄	—	344	2	no	—
1214	C₂×C₄	—	344	2	no	—
1215	C₂×C₄	—	344	2	no	—
1216	C₂×C₄	—	344	1	no	—
1217	C₂×C₄	—	344	1	no	—
1218	C₂×C₄	—	172	4	no	—
1219	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1220	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1221	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1222	C₂×C₄	#41×D₄₃	1	2	yes	—
1223	C₂×C₄	#13063370	1	2	yes	—
1224	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1225	C₈	—	2	1	no	—
1226	C₈	—	2	1	no	—
1227	C₈	—	2	1	no	—
1228	C₈	—	2	1	no	—
1229	C₈	—	86	2	no	—
1230	C₈	—	86	2	no	—
1231	C₂²	—	2	1	no	—
1232	C₂²	—	2	1	no	—
1233	C₂²	—	2	1	no	—
1234	C₂²	—	2	1	no	—
1235	C₂²	—	2	1	no	—
1236	C₂²	—	2	1	no	—
1237	C₂²	—	2	1	no	—
1238	C₂²	—	2	1	no	—
1239	C₂²	—	4	4	no	—
1240	C₂²	—	4	1	no	—
1241	C₂²	—	4	1	no	—
1242	C₂²	—	4	1	no	—
1243	C₂²	—	4	1	no	—
1244	C₂²	—	4	1	no	—
1245	C₂²	—	4	1	no	—
1246	C₂²	—	86	2	no	—
1247	C₂²	—	86	4	no	—
1248	C₂²	—	86	2	no	—
1249	C₂²	—	86	2	no	—
1250	C₂²	—	344	4	no	—
1251	C₂²	—	344	4	no	—
1252	C₂²	—	344	8	no	—
1253	C₂²	—	344	8	no	—
1254	C₂²	—	172	2	no	—
1255	C₂²	—	172	2	no	—
1256	C₂²	—	172	2	no	—
1257	C₂²	—	172	2	no	—
1258	C₂²	—	172	2	no	—
1259	C₂²	—	688	4	no	—
1260	C₂²	#14583538	1	2	yes	—
1261	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1262	C₄	—	2	1	no	—
1263	C₄	—	2	1	no	—
1264	C₄	—	4	1	no	—
1265	C₄	—	4	1	no	—
1266	C₄	—	4	1	no	—
1267	C₄	—	4	1	no	—
1268	C₄	—	4	1	no	—
1269	C₄	—	4	1	no	—
1270	C₄	—	86	2	no	—
1271	C₄	—	86	2	no	—
1272	C₄	—	86	2	no	—
1273	C₄	—	172	2	no	—
1274	C₄	—	172	2	no	—
1275	C₄	#14583538	1	2	yes	—
1276	C₄	C₂×#41×D₄₃	1	1	yes	characteristic
1277	C₄	C₂×#13063370	1	1	yes	characteristic
1278	C₂	—	2	2	no	—
1279	C₂	—	4	1	no	—
1280	C₂	—	4	1	no	—
1281	C₂	—	8	1	no	—
1282	C₂	—	8	1	no	—
1283	C₂	—	344	2	no	—
1284	C₂	—	172	2	no	—
1285	C₂	—	172	4	no	—
1286	C₂	C₂×#14583538	1	1	yes	characteristic
1287	C₂	#19149372	1	1	yes	characteristic
1288	C₂	#19149372	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₄₃
commutator, cosocle	C₂×C₄×C₄₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₃
Fitting	C₄₃×#3054	C₂
socle	C₂²×C₄₃	C₂³×D₄
hypercenter	#3054	D₄₃
hypocenter	C₄₃	#61175
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂³×C₄ ◁ #3054

Complements

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

N	H ≅ G/N	type
1. #19148312	C₂	semidirect
2. #19148228	C₂	semidirect
3. #19146832	C₂	semidirect
4. #19146821	C₂	semidirect
5. #19146817	C₂	semidirect
6. #19146802	C₂	semidirect
7. #19146746	C₂	semidirect
8. #19146731	C₂	semidirect
9. #19146626	C₂	semidirect
10. #19146611	C₂	semidirect
11. #19144953	C₂	semidirect
12. #19144556	C₂	semidirect
13. #19144524	C₂	semidirect
14. #19144429	C₂	semidirect
15. #19144278	C₂	semidirect
16. #19144132	C₂	semidirect
17. #19143895	C₂	semidirect
18. #19143821	C₂	semidirect
19. #19143430	C₂	semidirect
20. #19143298	C₂	semidirect
21. #19143117	C₂	semidirect
22. C₂×#14582905	C₂	semidirect
23. C₄₃×#3054	C₂	semidirect
27. C₂×#13063350	C₂²	semidirect
28. C₂×#13063331	C₂²	semidirect
29. #14583620	C₂²	semidirect
32. #14583613	C₂²	semidirect
33. #14583596	C₂²	semidirect
36. #14583583	C₂²	semidirect
45. #14583527	C₂²	semidirect
47. #14583477	C₂²	semidirect
54. #14583382	C₂²	semidirect
55. #14583379	C₂²	semidirect
57. C₂×#13063284	C₂²	semidirect
58. #14583262	C₂²	semidirect
59. #14583260	C₂²	semidirect
60. #14583255	C₂²	semidirect
61. #14583244	C₂²	semidirect
62. #14583237	C₂²	semidirect
63. #14583237	C₂²	semidirect
64. #14583226	C₂²	semidirect
65. #14583225	C₂²	semidirect
66. #14583220	C₂²	semidirect
67. #14583220	C₂²	semidirect
68. #14583219	C₂²	semidirect
69. #14583214	C₂²	semidirect
70. #14583202	C₂²	semidirect
71. #14583198	C₂²	semidirect
72. #14583188	C₂²	semidirect
73. #14583178	C₂²	semidirect
74. #14583151	C₂²	semidirect
75. #14583148	C₂²	semidirect
76. #14583134	C₂²	semidirect
77. #14583131	C₂²	semidirect
78. #14583123	C₂²	semidirect
79. #14583116	C₂²	semidirect
80. #14583097	C₂²	semidirect
81. #14583092	C₂²	semidirect
82. #14583060	C₂²	semidirect
83. #14583049	C₂²	semidirect
84. #14583049	C₂²	semidirect
85. #14583048	C₂²	semidirect
86. #14583043	C₂²	semidirect
87. #14583032	C₂²	semidirect
88. #14583032	C₂²	semidirect
89. #14583031	C₂²	semidirect
90. #14583008	C₂²	semidirect
91. #14583002	C₂²	semidirect
92. #14582984	C₂²	semidirect
93. #14582979	C₂²	semidirect
94. #14582975	C₂²	semidirect
95. #14582975	C₂²	semidirect
96. #14582968	C₂²	semidirect
97. #14582968	C₂²	semidirect
98. #14582942	C₂²	semidirect
99. #14582942	C₂²	semidirect
100. #14582925	C₂²	semidirect
101. #14582905	C₂²	semidirect
102. #14582905	C₂²	semidirect
103. #14582905	C₂²	semidirect
104. #14582905	C₂²	semidirect
106. #14582903	C₂²	semidirect
107. #14582902	C₂²	semidirect
108. #14582900	C₂²	semidirect
109. #14582900	C₂²	semidirect
110. #14582899	C₂²	semidirect
111. #14582894	C₂²	semidirect
114. C₂×#13063247	C₂²	semidirect
115. C₂×#13063247	C₂²	semidirect
116. #102×D₄₃	C₂²	semidirect
117. #14582865	C₂²	semidirect
118. #14582863	C₂²	semidirect
119. #14582854	C₂²	semidirect
120. C₂×#135×C₄₃	C₂²	semidirect
121. C₂²×M₁₆×C₄₃	C₂²	semidirect
123. C₄₃×#525	C₂²	semidirect
124. C₄₃×#470	C₂²	semidirect
125. C₄₃×#470	C₂²	semidirect
126. C₄₃×#469	C₂²	semidirect
127. C₄₃×#469	C₂²	semidirect
128. C₄₃×#468	C₂²	semidirect
129. C₄₃×#468	C₂²	semidirect
130. C₄₃×#468	C₂²	semidirect
131. C₄₃×#468	C₂²	semidirect
132. C₄₃×#427	C₂²	semidirect
133. C₄₃×#416	C₂²	semidirect
134. C₄₃×#416	C₂²	semidirect
164. C₂×#10621872	C₂³	semidirect
165. C₂×C₈×D₄₃	C₂³	semidirect
167. #13063324	C₂³	semidirect
175. #13063316	C₂³	semidirect
191. #13063301	C₂³	semidirect
206. #13063296	C₂³	semidirect
216. Q₈×Dic₄₃	C₂³	semidirect
223. D₄×Dic₄₃	C₂³	semidirect
237. #13063283	C₂³	semidirect
242. C₄⋊C₄×D₄₃	C₂³	semidirect
248. #13063258	C₂³	semidirect
249. #13063258	C₂³	semidirect
250. #13063256	C₂³	semidirect
251. #13063256	C₂³	semidirect
252. Dic₄₃⋊C₈	C₂³	semidirect
253. Dic₄₃⋊C₈	C₂³	semidirect
254. #13063249	C₂³	semidirect
255. #13063249	C₂³	semidirect
264. #13063246	C₂³	semidirect
265. #13063246	C₂³	semidirect
272. (C₂×D₄₃)⋊C₈	C₂³	semidirect
273. (C₂×D₄₃)⋊C₈	C₂³	semidirect
274. #13063235	C₂³	semidirect
275. C₈×Dic₄₃	C₂³	semidirect
280. C₂×Q₁₆×C₄₃	C₂³	semidirect
281. C₂×SD₁₆×C₄₃	C₂³	semidirect
282. C₂×SD₁₆×C₄₃	C₂³	semidirect
283. C₂×D₈×C₄₃	C₂³	semidirect
309. #107×C₄₃	C₂³	semidirect
310. #107×C₄₃	C₂³	semidirect
311. #106×C₄₃	C₂³	semidirect
312. #106×C₄₃	C₂³	semidirect
313. #103×C₄₃	C₂³	semidirect
314. #103×C₄₃	C₂³	semidirect
315. #103×C₄₃	C₂³	semidirect
316. #103×C₄₃	C₂³	semidirect
317. #102×C₄₃	C₂³	semidirect
318. #102×C₄₃	C₂³	semidirect
319. #102×C₄₃	C₂³	semidirect
320. #102×C₄₃	C₂³	semidirect
649. #3054	D₄₃	semidirect
672. C₂×#135	C₂×D₄₃	semidirect
674. C₂²×M₁₆	C₂×D₄₃	semidirect
700. #525	C₂×D₄₃	semidirect
722. #470	C₂×D₄₃	semidirect
723. #470	C₂×D₄₃	semidirect
725. #469	C₂×D₄₃	semidirect
726. #469	C₂×D₄₃	semidirect
728. #468	C₂×D₄₃	semidirect
729. #468	C₂×D₄₃	semidirect
730. #468	C₂×D₄₃	semidirect
731. #468	C₂×D₄₃	semidirect
756. #427	C₂×D₄₃	semidirect
769. #416	C₂×D₄₃	semidirect
770. #416	C₂×D₄₃	semidirect
779. C₄₃	#61175	semidirect
806. C₂×Q₁₆	C₂²×D₄₃	semidirect
809. C₂×SD₁₆	C₂²×D₄₃	semidirect
810. C₂×SD₁₆	C₂²×D₄₃	semidirect
813. C₂×D₈	C₂²×D₄₃	semidirect
928. #107	C₂²×D₄₃	semidirect
929. #107	C₂²×D₄₃	semidirect
932. #106	C₂²×D₄₃	semidirect
933. #106	C₂²×D₄₃	semidirect
938. #103	C₂²×D₄₃	semidirect
939. #103	C₂²×D₄₃	semidirect
940. #103	C₂²×D₄₃	semidirect
941. #103	C₂²×D₄₃	semidirect
956. #102	C₂²×D₄₃	semidirect
957. #102	C₂²×D₄₃	semidirect
958. #102	C₂²×D₄₃	semidirect
959. #102	C₂²×D₄₃	semidirect

Maximal subgroups

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

subgroup	index
#19148312	2
#19148228	2
#19146832	2
#19146821	2
#19146817	2
#19146802	2
#19146746	2
#19146731	2
#19146626	2
#19146611	2
#19144953	2
#19144556	2
#19144524	2
#19144429	2
#19144278	2
#19144132	2
#19143895	2
#19143821	2
#19143430	2
#19143298	2
#19143117	2
C₂×#14582905	2
C₄₃×#3054	2
#61175	43