Subgroups — #25978942

Order 11008.

1866 conjugacy classes of subgroups.

The subgroup lattice has 1142 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148221	C₂	1	1	yes	maximal, characteristic
2	Q₈×#10621898	C₂	1	1	yes	maximal, characteristic, complemented
3	#19147574	C₂	1	1	yes	maximal, characteristic, complemented
4	Q₁₆×Dic₈₆	C₂	1	1	yes	maximal, characteristic, complemented
5	#19147271	C₂	1	1	yes	maximal, characteristic, complemented
6	#19147264	C₂	1	1	yes	maximal, characteristic, complemented
7	#19147223	C₂	1	1	yes	maximal, characteristic, complemented
8	#19147217	C₂	1	2	yes	maximal, complemented
9	#19146935	C₂	1	1	yes	maximal, characteristic, complemented
10	#19146929	C₂	1	2	yes	maximal, complemented
11	#19146891	C₂	1	1	yes	maximal, characteristic, complemented
12	#19146885	C₂	1	2	yes	maximal, complemented
13	#19146262	C₂	1	1	yes	maximal, characteristic, complemented
14	#19146255	C₂	1	2	yes	maximal, complemented
15	#19145313	C₂	1	1	yes	maximal, characteristic, complemented
16	#19145310	C₂	1	2	yes	maximal, complemented
17	#19144757	C₂	1	1	yes	maximal, characteristic, complemented
18	#19144755	C₂	1	2	yes	maximal, complemented
19	#19144717	C₂	1	1	yes	maximal, characteristic, complemented
20	#19144715	C₂	1	2	yes	maximal, complemented
21	#19143613	C₂	1	1	yes	maximal, characteristic, complemented
22	#19143411	C₂	1	2	yes	maximal, complemented
23	C₄×#137×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#13063357	C₂²	1	2	yes	—
25	Q₈×Dic₈₆	C₂²	1	1	yes	characteristic
26	Q₈×Dic₈₆	C₂²	1	1	yes	characteristic
27	#14583627	—	2	1	no	—
28	#14583627	C₂²	1	1	yes	characteristic
29	#14583614	—	2	1	no	—
30	#14583614	C₂²	1	1	yes	characteristic
31	#14583612	—	2	2	no	—
32	#14583612	C₂²	1	2	yes	—
33	#14583609	—	2	1	no	—
34	#14583609	C₂²	1	1	yes	characteristic
35	#14583604	—	2	2	no	—
36	#14583604	C₂²	1	2	yes	—
37	#14583571	C₂²	1	1	yes	characteristic
38	#14583570	—	2	1	no	—
39	#14583570	C₂²	1	1	yes	characteristic
40	#14583568	C₂²	1	2	yes	—
41	Q₈×D₁₇₂	C₂²	1	1	yes	characteristic
42	Q₈×C₂²⋊D₄₃	C₂²	1	2	yes	—
43	#14583456	—	2	1	no	—
44	#14583456	C₂²	1	1	yes	characteristic
45	#14583453	—	2	2	no	—
46	#14583453	C₂²	1	2	yes	—
47	#14583449	—	2	1	no	—
48	#14583449	C₂²	1	1	yes	characteristic
49	#14583446	—	2	2	no	—
50	#14583446	C₂²	1	2	yes	—
51	C₄×#10621902	C₂²	1	2	yes	—
52	C₄×#10621898	—	2	1	no	—
53	C₄×#10621898	—	2	1	no	—
54	C₄×#10621898	C₂²	1	1	yes	characteristic
55	C₄×Q₈×D₄₃	C₂²	1	2	yes	—
56	#14583304	C₂²	1	1	yes	characteristic
57	#14583303	C₂²	1	2	yes	—
58	#14583272	C₂²	1	1	yes	characteristic
59	#14583270	C₂²	1	2	yes	—
60	#14583250	C₂²	1	1	yes	characteristic
61	#14583248	C₂²	1	2	yes	—
62	#14583246	C₂²	1	1	yes	characteristic
63	#14583244	C₂²	1	2	yes	—
64	#14583243	C₂²	1	2	yes	—
65	#14583240	C₂²	1	2	yes	—
66	#14583239	C₂²	1	2	yes	—
67	#14583214	C₂²	1	2	yes	—
68	#14583212	C₂²	1	2	yes	—
69	#14583211	C₂²	1	2	yes	—
70	#14583194	C₂²	1	1	yes	characteristic
71	#14583194	C₂²	1	1	yes	characteristic
72	#14583194	C₂²	1	1	yes	characteristic
73	#14583193	C₂²	1	2	yes	—
74	#14583192	C₂²	1	2	yes	—
75	#14583192	C₂²	1	2	yes	—
76	#14583189	C₂²	1	1	yes	characteristic
77	#14583188	C₂²	1	2	yes	—
78	#14583148	C₂²	1	2	yes	—
79	#14583146	C₂²	1	2	yes	—
80	#14583145	C₂²	1	2	yes	—
81	#14583145	C₂²	1	2	yes	—
82	#14583144	C₂²	1	2	yes	—
83	#14583142	C₂²	1	2	yes	—
84	#14583109	C₂²	1	1	yes	characteristic
85	#14583107	C₂²	1	2	yes	—
86	#14583104	C₂²	1	1	yes	characteristic
87	#14583103	C₂²	1	2	yes	—
88	#14583099	C₂²	1	1	yes	characteristic
89	#14583099	C₂²	1	1	yes	characteristic
90	#14583098	C₂²	1	2	yes	—
91	#14583097	C₂²	1	2	yes	—
92	#14583064	C₂²	1	2	yes	—
93	#14583061	C₂²	1	2	yes	—
94	#14583060	C₂²	1	2	yes	—
95	#14583039	C₂²	1	2	yes	—
96	#14583038	C₂²	1	2	yes	—
97	#14583036	C₂²	1	2	yes	—
98	C₈×Dic₈₆	C₂²	1	1	yes	characteristic
99	C₈×Dic₈₆	C₂²	1	1	yes	characteristic
100	#14583004	C₂²	1	2	yes	—
101	#14583001	C₂²	1	2	yes	—
102	#14583001	C₂²	1	2	yes	—
103	#14582999	C₂²	1	2	yes	—
104	#14582997	C₂²	1	2	yes	—
105	#14582997	C₂²	1	2	yes	—
106	Q₁₆×Dic₄₃	C₂²	1	2	yes	—
107	#14582991	C₂²	1	2	yes	—
108	#14582986	C₂²	1	2	yes	—
109	#14582984	C₂²	1	2	yes	—
110	#14582978	C₂²	1	1	yes	characteristic
111	#14582978	C₂²	1	1	yes	characteristic
112	#14582975	C₂²	1	2	yes	—
113	#14582975	C₂²	1	2	yes	—
114	#14582956	C₂²	1	1	yes	characteristic
115	#14582954	C₂²	1	2	yes	—
116	#14582938	C₂²	1	2	yes	—
117	#14582906	C₂²	1	2	yes	—
118	#14582899	C₂²	1	2	yes	—
119	#14582851	C₂²	1	2	yes	—
120	C₂×#137×C₄₃	C₂²	1	1	yes	characteristic
121	C₄×#41×C₄₃	C₂²	1	1	yes	characteristic
122	C₂×C₄×Q₈×C₄₃	C₂²	1	1	yes	characteristic
123	C₄₃×#441	C₂²	1	1	yes	characteristic
124	C₄₃×#441	C₂²	1	1	yes	characteristic
125	C₄₃×#440	C₂²	1	1	yes	characteristic
126	C₄₃×#440	C₂²	1	1	yes	characteristic
127	C₄×Q₁₆×C₄₃	C₂²	1	1	yes	characteristic
128	C₄×Q₁₆×C₄₃	C₂²	1	1	yes	characteristic
129	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic
130	C₄×SD₁₆×C₄₃	C₂²	1	1	yes	characteristic
131	C₄₃×#428	C₂²	1	1	yes	characteristic
132	C₄₃×#419	C₂²	1	1	yes	characteristic
133	C₄₃×#417	C₂²	1	1	yes	characteristic
134	C₄×M₁₆×C₄₃	C₂²	1	1	yes	characteristic
135	C₂×#10621902	C₂³	1	2	yes	—
136	C₂×#10621898	—	2	1	no	—
137	C₂×#10621898	—	2	2	no	—
138	C₂×#10621898	—	2	1	no	—
139	C₂×#10621898	D₄	1	1	yes	characteristic
140	C₂×Q₈×D₄₃	C₂³	1	2	yes	—
141	#13063357	—	2	8	no	—
142	C₂×#10621885	C₂³	1	2	yes	—
143	C₂×#10621873	C₂³	1	2	yes	—
144	C₂×#10621873	C₂³	1	2	yes	—
145	C₂×#10621883	C₂³	1	2	yes	—
146	C₂×#10621884	C₂³	1	2	yes	—
147	C₂×#10621884	C₂³	1	2	yes	—
148	C₂×#10621872	C₂³	1	2	yes	—
149	C₂×#10621872	C₂³	1	2	yes	—
150	#13063325	—	2	1	no	—
151	#13063325	—	2	1	no	—
152	#13063325	—	2	1	no	—
153	#13063325	C₂³	1	1	yes	characteristic
154	#13063325	C₂³	1	1	yes	characteristic
155	#13063325	C₂³	1	1	yes	characteristic
156	#13063324	—	2	2	no	—
157	#13063324	—	2	2	no	—
158	#13063324	C₂³	1	2	yes	—
159	#13063324	C₂³	1	2	yes	—
160	#13063323	—	2	2	no	—
161	#13063323	C₂³	1	2	yes	—
162	#13063322	—	2	1	no	—
163	#13063322	C₂³	1	1	yes	characteristic
164	#13063321	—	2	2	no	—
165	#13063321	C₂³	1	2	yes	—
166	#13063317	—	2	1	no	—
167	#13063317	—	2	1	no	—
168	#13063317	—	2	1	no	—
169	#13063315	—	2	2	no	—
170	#13063315	—	2	2	no	—
171	#13063315	—	2	2	no	—
172	#13063313	—	2	1	no	—
173	#13063313	—	2	2	no	—
174	#13063311	—	2	2	no	—
175	#13063311	—	2	2	no	—
176	#13063311	—	2	2	no	—
177	#13063305	—	2	2	no	—
178	#13063305	C₂³	1	2	yes	—
179	#13063304	—	2	1	no	—
180	#13063304	—	2	2	no	—
181	#13063304	—	2	2	no	—
182	#13063304	C₂³	1	2	yes	—
183	#13063303	—	2	2	no	—
184	#13063303	—	2	2	no	—
185	#13063303	—	2	2	no	—
186	#13063301	—	2	2	no	—
187	#13063301	C₂³	1	2	yes	—
188	#13063300	—	2	2	no	—
189	#13063300	C₂³	1	2	yes	—
190	#13063299	—	2	1	no	—
191	#13063299	—	2	1	no	—
192	#13063299	—	2	2	no	—
193	#13063299	—	2	1	no	—
194	#13063299	C₂³	1	2	yes	—
195	#13063298	—	2	2	no	—
196	#13063298	—	2	2	no	—
197	#13063298	—	2	2	no	—
198	#13063296	—	2	2	no	—
199	#13063296	C₂³	1	2	yes	—
200	Q₈×Dic₄₃	C₂³	1	2	yes	—
201	Q₈×Dic₄₃	C₂³	1	2	yes	—
202	C₄×Dic₈₆	—	2	1	no	—
203	C₄×Dic₈₆	—	2	1	no	—
204	C₄×Dic₈₆	—	2	1	no	—
205	C₄×Dic₈₆	—	2	1	no	—
206	C₄×Dic₈₆	—	2	2	no	—
207	C₄×Dic₈₆	—	2	2	no	—
208	C₄×Dic₈₆	D₄	1	1	yes	characteristic
209	C₄×Dic₈₆	C₂³	1	2	yes	—
210	C₄×Dic₈₆	C₂³	1	1	yes	characteristic
211	#13063290	—	2	2	no	—
212	#13063290	C₂³	1	2	yes	—
213	C₄×D₁₇₂	—	2	1	no	—
214	C₄×D₁₇₂	—	2	1	no	—
215	C₄×D₁₇₂	—	2	2	no	—
216	C₄×D₁₇₂	—	2	1	no	—
217	C₄×D₁₇₂	—	2	1	no	—
218	C₄×D₁₇₂	D₄	1	1	yes	characteristic
219	C₄×D₁₇₂	C₂³	1	1	yes	characteristic
220	C₄×D₁₇₂	C₂³	1	2	yes	—
221	#13063287	—	2	2	no	—
222	#13063287	C₂³	1	2	yes	—
223	C₄×C₂²⋊D₄₃	—	2	2	no	—
224	C₄×C₂²⋊D₄₃	—	2	2	no	—
225	C₄×C₂²⋊D₄₃	—	2	2	no	—
226	C₄×C₂²⋊D₄₃	—	2	2	no	—
227	C₄×C₂²⋊D₄₃	D₄	1	2	yes	—
228	C₄×C₂²⋊D₄₃	C₂³	1	2	yes	—
229	#13063284	—	2	1	no	—
230	#13063284	—	2	1	no	—
231	#13063284	D₄	1	1	yes	characteristic
232	#13063283	—	2	2	no	—
233	#13063283	C₂³	1	2	yes	—
234	#13063282	—	2	2	no	—
235	#13063282	—	2	2	no	—
236	#13063282	D₄	1	2	yes	—
237	C₄⋊C₄×D₄₃	—	2	2	no	—
238	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
239	C₄²×D₄₃	—	2	2	no	—
240	C₄²×D₄₃	—	2	2	no	—
241	C₄²×D₄₃	C₂³	1	2	yes	—
242	#13063259	C₂³	1	2	yes	—
243	#13063259	C₂³	1	2	yes	—
244	#13063258	C₂³	1	2	yes	—
245	#13063258	C₂³	1	2	yes	—
246	#13063258	C₂³	1	2	yes	—
247	#13063256	C₂³	1	2	yes	—
248	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
249	C₄⋊(C₄₃⋊C₈)	C₂³	1	1	yes	characteristic
250	Dic₄₃⋊C₈	C₂³	1	2	yes	—
251	Dic₄₃⋊C₈	C₂³	1	2	yes	—
252	#13063250	C₂³	1	2	yes	—
253	#13063250	C₂³	1	2	yes	—
254	#13063249	C₂³	1	2	yes	—
255	#13063249	C₂³	1	2	yes	—
256	#13063249	C₂³	1	2	yes	—
257	#13063248	C₂³	1	2	yes	—
258	#13063248	C₂³	1	2	yes	—
259	#13063247	C₂³	1	2	yes	—
260	#13063247	C₂³	1	2	yes	—
261	#13063246	C₂³	1	2	yes	—
262	#13063245	C₂³	1	2	yes	—
263	#13063245	C₂³	1	2	yes	—
264	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
265	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
266	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
267	#13063236	C₂³	1	2	yes	—
268	C₈×Dic₄₃	C₂³	1	2	yes	—
269	C₈×Dic₄₃	C₂³	1	2	yes	—
270	C₂×#41×C₄₃	C₂³	1	1	yes	characteristic
271	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
272	#137×C₄₃	—	2	4	no	—
273	C₂×Q₁₆×C₄₃	C₂³	1	1	yes	characteristic
274	C₂×Q₁₆×C₄₃	C₂³	1	1	yes	characteristic
275	C₂×SD₁₆×C₄₃	C₂³	1	1	yes	characteristic
276	C₂×SD₁₆×C₄₃	C₂³	1	1	yes	characteristic
277	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
278	C₂×M₁₆×C₄₃	C₂³	1	1	yes	characteristic
279	C₄×Q₈×C₄₃	—	2	1	no	—
280	C₄×Q₈×C₄₃	—	2	1	no	—
281	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
282	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
283	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
284	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
285	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
286	C₄×Q₈×C₄₃	C₂³	1	1	yes	characteristic
287	C₄×D₄×C₄₃	—	2	1	no	—
288	C₄×D₄×C₄₃	—	2	1	no	—
289	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
290	C₄×D₄×C₄₃	C₂³	1	1	yes	characteristic
291	#117×C₄₃	—	2	1	no	—
292	#117×C₄₃	C₂³	1	1	yes	characteristic
293	C₂×C₄⋊C₄×C₄₃	—	2	1	no	—
294	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
295	C₂×C₄²×C₄₃	—	2	1	no	—
296	C₂×C₄²×C₄₃	—	2	1	no	—
297	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
298	#107×C₄₃	C₂³	1	1	yes	characteristic
299	#107×C₄₃	C₂³	1	1	yes	characteristic
300	#106×C₄₃	C₂³	1	1	yes	characteristic
301	#106×C₄₃	C₂³	1	1	yes	characteristic
302	#103×C₄₃	C₂³	1	1	yes	characteristic
303	#103×C₄₃	C₂³	1	1	yes	characteristic
304	#103×C₄₃	C₂³	1	1	yes	characteristic
305	#103×C₄₃	C₂³	1	1	yes	characteristic
306	#103×C₄₃	C₂³	1	1	yes	characteristic
307	#103×C₄₃	C₂³	1	1	yes	characteristic
308	#102×C₄₃	C₂³	1	1	yes	characteristic
309	#102×C₄₃	C₂³	1	1	yes	characteristic
310	#97×C₄₃	C₂³	1	1	yes	characteristic
311	#97×C₄₃	C₂³	1	1	yes	characteristic
312	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
313	C₄×C₈×C₄₃	C₂³	1	1	yes	characteristic
314	#41×C₄₃	—	2	2	no	—
315	#41×C₄₃	—	4	1	no	—
316	C₂×Q₈×C₄₃	—	2	1	no	—
317	C₂×Q₈×C₄₃	—	2	2	no	—
318	C₂×Q₈×C₄₃	—	4	1	no	—
319	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
320	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
321	C₂×Q₈×C₄₃	C₂⁴	1	1	yes	characteristic
322	C₂×D₄×C₄₃	—	2	1	no	—
323	C₂×D₄×C₄₃	C₂⁴	1	1	yes	characteristic
324	C₂²×C₄×C₄₃	—	2	1	no	—
325	C₂²×C₄×C₄₃	—	2	1	no	—
326	C₂²×C₄×C₄₃	—	2	1	no	—
327	C₂²×C₄×C₄₃	—	2	1	no	—
328	C₂²×C₄×C₄₃	—	2	1	no	—
329	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
330	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
331	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
332	C₂×C₂²⋊D₄₃	—	2	2	no	—
333	C₂×C₂²⋊D₄₃	—	2	2	no	—
334	C₂×C₂²⋊D₄₃	—	2	2	no	—
335	C₂×C₂²⋊D₄₃	—	2	2	no	—
336	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
337	#10621902	—	2	4	no	—
338	#10621902	—	4	2	no	—
339	Q₈×D₄₃	—	2	4	no	—
340	Q₈×D₄₃	—	4	2	no	—
341	#10621898	—	2	4	no	—
342	#10621898	—	4	4	no	—
343	#10621898	—	8	4	no	—
344	#10621898	—	8	2	no	—
345	C₂×D₁₇₂	—	2	1	no	—
346	C₂×D₁₇₂	—	2	1	no	—
347	C₂×D₁₇₂	—	2	2	no	—
348	C₂×D₁₇₂	—	2	2	no	—
349	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
350	C₂×D₁₇₂	C₂⁴	1	2	yes	—
351	C₂×C₄×D₄₃	—	2	2	no	—
352	C₂×C₄×D₄₃	—	2	2	no	—
353	C₂×C₄×D₄₃	—	2	2	no	—
354	C₂×C₄×D₄₃	—	2	2	no	—
355	C₂×C₄×D₄₃	—	2	2	no	—
356	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
357	C₂×C₄×D₄₃	C₂×D₄	1	2	yes	—
358	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
359	C₂×Dic₈₆	—	2	2	no	—
360	C₂×Dic₈₆	—	2	1	no	—
361	C₂×Dic₈₆	—	2	1	no	—
362	C₂×Dic₈₆	—	2	2	no	—
363	C₂×Dic₈₆	—	2	2	no	—
364	C₂×Dic₈₆	C₂×D₄	1	1	yes	characteristic
365	C₂×Dic₈₆	C₂⁴	1	2	yes	—
366	Q₁₆×C₄₃	—	2	2	no	—
367	Q₁₆×C₄₃	#41	1	4	yes	complemented
368	SD₁₆×C₄₃	—	2	2	no	—
369	SD₁₆×C₄₃	—	2	2	no	—
370	M₁₆×C₄₃	—	2	2	no	—
371	M₁₆×C₄₃	—	4	1	no	—
372	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
373	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
374	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
375	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
376	C₄⋊C₄×C₄₃	—	2	1	no	—
377	C₄⋊C₄×C₄₃	—	2	1	no	—
378	C₄⋊C₄×C₄₃	—	2	1	no	—
379	C₄⋊C₄×C₄₃	—	2	1	no	—
380	C₄⋊C₄×C₄₃	—	2	1	no	—
381	C₄⋊C₄×C₄₃	—	2	1	no	—
382	C₄⋊C₄×C₄₃	—	2	1	no	—
383	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
384	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
385	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
386	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
387	C₂²⋊C₄×C₄₃	—	2	1	no	—
388	C₂²⋊C₄×C₄₃	—	2	1	no	—
389	C₂²⋊C₄×C₄₃	—	2	1	no	—
390	C₄²×C₄₃	—	2	1	no	—
391	C₄²×C₄₃	—	2	1	no	—
392	C₄²×C₄₃	—	2	1	no	—
393	C₄²×C₄₃	—	2	1	no	—
394	C₄²×C₄₃	—	2	1	no	—
395	C₄²×C₄₃	—	2	1	no	—
396	C₄²×C₄₃	—	2	1	no	—
397	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
398	C₄²×C₄₃	C₂×D₄	1	1	yes	characteristic
399	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
400	C₄²×C₄₃	C₂⁴	1	1	yes	characteristic
401	C₂²⋊Dic₄₃	—	2	2	no	—
402	C₂²⋊Dic₄₃	—	2	2	no	—
403	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
404	#10621885	—	2	4	no	—
405	#10621884	—	2	4	no	—
406	#10621884	—	4	2	no	—
407	#10621883	—	4	2	no	—
408	(C₂×D₄₃)⋊C₄	—	2	2	no	—
409	(C₂×D₄₃)⋊C₄	—	2	2	no	—
410	(C₂×D₄₃)⋊C₄	—	2	2	no	—
411	(C₂×D₄₃)⋊C₄	—	2	2	no	—
412	(C₂×D₄₃)⋊C₄	—	2	2	no	—
413	(C₂×D₄₃)⋊C₄	—	2	2	no	—
414	(C₂×D₄₃)⋊C₄	—	2	2	no	—
415	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
416	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
417	C₄⋊Dic₄₃	—	2	1	no	—
418	C₄⋊Dic₄₃	—	2	1	no	—
419	C₄⋊Dic₄₃	—	2	1	no	—
420	C₄⋊Dic₄₃	—	2	1	no	—
421	C₄⋊Dic₄₃	—	2	2	no	—
422	C₄⋊Dic₄₃	—	2	2	no	—
423	C₄⋊Dic₄₃	—	2	2	no	—
424	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
425	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
426	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
427	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
428	Dic₄₃⋊C₄	—	2	2	no	—
429	Dic₄₃⋊C₄	—	2	2	no	—
430	Dic₄₃⋊C₄	—	2	2	no	—
431	Dic₄₃⋊C₄	—	2	2	no	—
432	Dic₄₃⋊C₄	—	2	2	no	—
433	Dic₄₃⋊C₄	—	2	2	no	—
434	Dic₄₃⋊C₄	—	2	2	no	—
435	Dic₄₃⋊C₄	—	2	2	no	—
436	Dic₄₃⋊C₄	—	2	2	no	—
437	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
438	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
439	C₄×Dic₄₃	—	2	2	no	—
440	C₄×Dic₄₃	—	2	2	no	—
441	C₄×Dic₄₃	—	2	2	no	—
442	C₄×Dic₄₃	—	2	2	no	—
443	C₄×Dic₄₃	—	2	2	no	—
444	C₄×Dic₄₃	C₂×D₄	1	2	yes	—
445	C₄×Dic₄₃	C₂×D₄	1	2	yes	—
446	C₄×Dic₄₃	C₂⁴	1	2	yes	—
447	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
448	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
449	#10621873	—	2	4	no	—
450	#10621873	—	4	2	no	—
451	#10621872	—	2	4	no	—
452	#10621872	—	4	2	no	—
453	C₂³×C₄₃	—	2	1	no	—
454	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
455	C₂²×D₄₃	—	2	2	no	—
456	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
457	Q₈×C₄₃	—	2	1	no	—
458	Q₈×C₄₃	—	2	1	no	—
459	Q₈×C₄₃	—	2	1	no	—
460	Q₈×C₄₃	—	2	1	no	—
461	Q₈×C₄₃	—	4	2	no	—
462	Q₈×C₄₃	C₂×#41	1	2	yes	—
463	Q₈×C₄₃	C₂×#41	1	2	yes	—
464	D₄×C₄₃	—	2	1	no	—
465	D₄×C₄₃	—	2	1	no	—
466	D₄×C₄₃	—	4	2	no	—
467	C₂×C₄×C₄₃	—	2	1	no	—
468	C₂×C₄×C₄₃	—	2	1	no	—
469	C₂×C₄×C₄₃	—	2	2	no	—
470	C₂×C₄×C₄₃	—	2	1	no	—
471	C₂×C₄×C₄₃	—	2	1	no	—
472	C₂×C₄×C₄₃	—	2	1	no	—
473	C₂×C₄×C₄₃	—	2	1	no	—
474	C₂×C₄×C₄₃	—	2	1	no	—
475	C₂×C₄×C₄₃	—	2	1	no	—
476	C₂×C₄×C₄₃	—	2	1	no	—
477	C₂×C₄×C₄₃	—	4	1	no	—
478	C₂×C₄×C₄₃	—	4	2	no	—
479	C₂×C₄×C₄₃	—	4	2	no	—
480	C₂×C₄×C₄₃	—	4	2	no	—
481	C₂×C₄×C₄₃	—	4	2	no	—
482	C₂×C₄×C₄₃	—	8	1	no	—
483	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
484	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
485	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
486	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
487	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
488	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
489	C₂²⋊D₄₃	—	2	4	no	—
490	C₂²⋊D₄₃	—	4	4	no	—
491	C₂²⋊D₄₃	—	8	2	no	—
492	C₂²⋊D₄₃	—	8	2	no	—
493	C₂²⋊D₄₃	—	8	2	no	—
494	C₂×Dic₄₃	—	2	2	no	—
495	C₂×Dic₄₃	—	2	2	no	—
496	C₂×Dic₄₃	—	2	2	no	—
497	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
498	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
499	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
500	D₁₇₂	—	2	2	no	—
501	D₁₇₂	—	2	2	no	—
502	D₁₇₂	—	2	2	no	—
503	D₁₇₂	—	4	4	no	—
504	D₁₇₂	—	4	2	no	—
505	D₁₇₂	—	8	1	no	—
506	D₁₇₂	—	8	2	no	—
507	C₄×D₄₃	—	2	2	no	—
508	C₄×D₄₃	—	2	2	no	—
509	C₄×D₄₃	—	2	4	no	—
510	C₄×D₄₃	—	4	2	no	—
511	C₄×D₄₃	—	4	4	no	—
512	C₄×D₄₃	—	4	4	no	—
513	C₄×D₄₃	—	4	4	no	—
514	C₄×D₄₃	—	4	4	no	—
515	C₄×D₄₃	—	8	2	no	—
516	Dic₈₆	—	2	2	no	—
517	Dic₈₆	—	2	2	no	—
518	Dic₈₆	—	4	4	no	—
519	Dic₈₆	—	8	2	no	—
520	Dic₈₆	—	8	2	no	—
521	Dic₈₆	—	8	1	no	—
522	Dic₈₆	—	8	1	no	—
523	Dic₈₆	#137	1	4	yes	complemented
524	C₈×C₄₃	—	2	1	no	—
525	C₈×C₄₃	—	2	1	no	—
526	C₈×C₄₃	—	2	1	no	—
527	C₈×C₄₃	C₂×#41	1	2	yes	—
528	C₄₃⋊C₈	—	2	2	no	—
529	C₄₃⋊C₈	—	2	2	no	—
530	#61469	—	43	1	no	maximal, Sylow
531	C₂²×C₄₃	—	2	1	no	—
532	C₂²×C₄₃	—	2	1	no	—
533	C₂²×C₄₃	—	2	1	no	—
534	C₂²×C₄₃	—	4	1	no	—
535	C₂²×C₄₃	—	4	1	no	—
536	C₂²×C₄₃	—	4	1	no	—
537	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
538	C₂×D₄₃	—	2	2	no	—
539	C₂×D₄₃	—	2	2	no	—
540	C₂×D₄₃	—	2	2	no	—
541	C₂×D₄₃	—	4	2	no	—
542	C₂×D₄₃	—	4	2	no	—
543	C₂×D₄₃	—	4	2	no	—
544	C₄×C₄₃	—	2	1	no	—
545	C₄×C₄₃	—	2	1	no	—
546	C₄×C₄₃	—	2	2	no	—
547	C₄×C₄₃	—	2	2	no	—
548	C₄×C₄₃	—	2	1	no	—
549	C₄×C₄₃	—	2	1	no	—
550	C₄×C₄₃	—	4	1	no	—
551	C₄×C₄₃	—	4	1	no	—
552	C₄×C₄₃	—	4	1	no	—
553	C₄×C₄₃	—	4	1	no	—
554	C₄×C₄₃	—	4	1	no	—
555	C₄×C₄₃	C₂×#137	1	2	yes	—
556	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
557	C₄×C₄₃	#585	1	1	yes	characteristic
558	Dic₄₃	—	2	2	no	—
559	Dic₄₃	—	2	2	no	—
560	Dic₄₃	—	4	2	no	—
561	Dic₄₃	—	4	2	no	—
562	Dic₄₃	—	4	2	no	—
563	Dic₄₃	C₂×#137	1	4	yes	—
564	#3483	—	43	1	no	—
565	Q₈×#41	—	43	1	no	—
566	#3392	—	43	1	no	—
567	Q₈×Q₁₆	—	43	1	no	—
568	#3363	—	43	1	no	—
569	#3362	—	43	1	no	—
570	#3357	—	43	1	no	—
571	#3357	—	43	2	no	—
572	#3333	—	43	1	no	—
573	#3333	—	43	2	no	—
574	#3329	—	43	1	no	—
575	#3329	—	43	2	no	—
576	#3278	—	43	1	no	—
577	#3278	—	43	2	no	—
578	#3182	—	43	2	no	—
579	#3182	—	43	1	no	—
580	#3116	—	43	2	no	—
581	#3116	—	43	1	no	—
582	#3112	—	43	2	no	—
583	#3112	—	43	1	no	—
584	#2971	—	43	1	no	—
585	C₄×#137	—	43	2	no	—
586	C₄×#137	D₄₃	1	1	yes	characteristic, complemented
587	C₂×C₄₃	—	4	1	no	—
588	C₂×C₄₃	—	8	1	no	—
589	C₂×C₄₃	D₄×#41	1	1	yes	characteristic
590	C₂×C₄₃	C₂²×#137	1	1	yes	characteristic
591	C₂×C₄₃	#3585	1	1	yes	characteristic
592	D₄₃	—	4	2	no	—
593	D₄₃	—	8	2	no	—
594	C₂×#137	—	43	2	no	—
595	C₂×#137	C₂×D₄₃	1	1	yes	characteristic
596	Q₈²	—	43	1	no	—
597	Q₈²	—	43	1	no	—
598	#557	—	43	1	no	—
599	#557	—	86	1	no	—
600	#555	—	43	1	no	—
601	#555	—	43	2	no	—
602	#555	—	86	2	no	—
603	#555	—	86	1	no	—
604	#554	—	43	1	no	—
605	#554	—	43	2	no	—
606	#554	—	86	2	no	—
607	#554	—	86	1	no	—
608	#550	—	43	1	no	—
609	#550	—	43	2	no	—
610	#550	—	43	1	no	—
611	#550	—	86	1	no	—
612	D₄×Q₈	—	43	2	no	—
613	D₄×Q₈	—	43	1	no	—
614	#533	—	43	2	no	—
615	#533	—	43	1	no	—
616	#533	—	86	1	no	—
617	#533	—	86	2	no	—
618	#532	—	43	2	no	—
619	#532	—	43	1	no	—
620	#532	—	86	1	no	—
621	#532	—	86	2	no	—
622	C₄×#41	—	43	1	no	—
623	C₄×#41	—	43	2	no	—
624	C₄×#41	—	86	1	no	—
625	C₄×#41	—	86	1	no	—
626	C₄×#41	C₂×D₄₃	1	1	yes	characteristic
627	C₂×C₄×Q₈	—	43	2	no	—
628	C₂×C₄×Q₈	C₂×D₄₃	1	1	yes	characteristic
629	#500	—	43	2	no	—
630	#500	—	43	1	no	—
631	#492	—	43	2	no	—
632	#492	—	43	1	no	—
633	#487	—	43	2	no	—
634	#487	—	43	1	no	—
635	#486	—	43	2	no	—
636	#486	—	43	1	no	—
637	#485	—	43	2	no	—
638	#485	—	43	2	no	—
639	#485	—	43	2	no	—
640	#480	—	43	2	no	—
641	#480	—	43	2	no	—
642	#480	—	43	2	no	—
643	#477	—	43	1	no	—
644	#477	—	43	1	no	—
645	#477	—	43	1	no	—
646	#477	—	43	2	no	—
647	#477	—	43	2	no	—
648	#477	—	43	2	no	—
649	#476	—	43	1	no	—
650	#476	—	43	2	no	—
651	#468	—	43	2	no	—
652	#468	—	43	2	no	—
653	#468	—	43	2	no	—
654	#468	—	43	2	no	—
655	#468	—	43	2	no	—
656	#468	—	43	2	no	—
657	#462	—	43	2	no	—
658	#462	—	43	1	no	—
659	#461	—	43	1	no	—
660	#461	—	43	2	no	—
661	#460	—	43	2	no	—
662	#460	—	43	1	no	—
663	#460	—	43	1	no	—
664	#460	—	43	2	no	—
665	#452	—	43	2	no	—
666	#452	—	43	2	no	—
667	#452	—	43	2	no	—
668	#448	—	43	2	no	—
669	#448	—	43	2	no	—
670	#448	—	43	2	no	—
671	C₈×Q₈	—	43	1	no	—
672	C₈×Q₈	—	43	1	no	—
673	#441	—	43	2	no	—
674	#441	C₂×D₄₃	1	1	yes	characteristic
675	#441	C₂×D₄₃	1	1	yes	characteristic
676	#440	—	43	2	no	—
677	#440	—	43	2	no	—
678	#440	—	43	2	no	—
679	#440	—	43	2	no	—
680	#440	—	43	2	no	—
681	#440	C₂×D₄₃	1	1	yes	characteristic
682	#440	C₂×D₄₃	1	1	yes	characteristic
683	C₄×Q₁₆	—	43	2	no	—
684	C₄×Q₁₆	—	43	2	no	—
685	C₄×Q₁₆	C₂×D₄₃	1	1	yes	characteristic
686	C₄×Q₁₆	C₂×D₄₃	1	1	yes	characteristic
687	C₄×SD₁₆	—	43	2	no	—
688	C₄×SD₁₆	—	43	2	no	—
689	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic
690	C₄×SD₁₆	C₂×D₄₃	1	1	yes	characteristic
691	#436	—	43	2	no	—
692	#436	—	43	2	no	—
693	#436	—	43	1	no	—
694	#436	—	43	1	no	—
695	#432	—	43	1	no	—
696	#432	—	43	2	no	—
697	#428	—	43	2	no	—
698	#428	C₂×D₄₃	1	1	yes	characteristic
699	#419	—	43	2	no	—
700	#419	C₂×D₄₃	1	1	yes	characteristic
701	#417	—	43	2	no	—
702	#417	C₂×D₄₃	1	1	yes	characteristic
703	C₄×M₁₆	—	43	2	no	—
704	C₄×M₁₆	C₂×D₄₃	1	1	yes	characteristic
705	C₄₃	#61469	1	1	yes	characteristic, complemented, Sylow
706	C₂×#41	—	43	1	no	—
707	C₂×#41	—	43	2	no	—
708	C₂×#41	—	86	2	no	—
709	C₂×#41	—	86	1	no	—
710	C₂×#41	—	86	1	no	—
711	C₂×#41	C₂²×D₄₃	1	1	yes	characteristic
712	C₂²×Q₈	—	43	2	no	—
713	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
714	#137	—	2	4	no	—
715	#137	—	86	8	no	—
716	C₂×Q₁₆	—	43	2	no	—
717	C₂×Q₁₆	C₂²×D₄₃	1	1	yes	characteristic
718	C₂×Q₁₆	C₂²×D₄₃	1	1	yes	characteristic
719	C₂×SD₁₆	—	43	2	no	—
720	C₂×SD₁₆	—	43	2	no	—
721	C₂×SD₁₆	—	43	2	no	—
722	C₂×SD₁₆	—	43	2	no	—
723	C₂×SD₁₆	—	43	2	no	—
724	C₂×SD₁₆	C₂²×D₄₃	1	1	yes	characteristic
725	C₂×SD₁₆	C₂²×D₄₃	1	1	yes	characteristic
726	C₂×M₁₆	—	43	2	no	—
727	C₂×M₁₆	—	43	2	no	—
728	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
729	C₂×M₁₆	C₂²×D₄₃	1	1	yes	characteristic
730	C₄⋊Q₈	—	43	2	no	—
731	C₄⋊Q₈	—	43	2	no	—
732	C₄⋊Q₈	—	43	2	no	—
733	C₄⋊Q₈	—	43	1	no	—
734	C₄⋊Q₈	—	43	1	no	—
735	C₄⋊Q₈	—	43	1	no	—
736	C₄⋊Q₈	—	86	1	no	—
737	C₄⋊Q₈	—	86	1	no	—
738	C₄⋊Q₈	—	86	1	no	—
739	C₄⋊Q₈	—	86	2	no	—
740	C₄⋊Q₈	—	86	2	no	—
741	C₄⋊Q₈	—	86	2	no	—
742	#127	—	43	2	no	—
743	#127	—	43	1	no	—
744	#127	—	86	1	no	—
745	#127	—	86	2	no	—
746	#125	—	86	1	no	—
747	#125	—	86	1	no	—
748	#125	—	86	2	no	—
749	#125	—	86	2	no	—
750	#125	—	86	2	no	—
751	#125	—	86	1	no	—
752	#124	—	86	2	no	—
753	#124	—	86	2	no	—
754	#124	—	86	2	no	—
755	#124	—	86	2	no	—
756	#124	—	86	1	no	—
757	C₂²⋊Q₈	—	43	2	no	—
758	C₂²⋊Q₈	—	43	2	no	—
759	C₂²⋊Q₈	—	43	2	no	—
760	C₂²⋊Q₈	—	86	2	no	—
761	C₂²⋊Q₈	—	86	2	no	—
762	C₂²⋊Q₈	—	86	2	no	—
763	C₂²⋊Q₈	—	86	2	no	—
764	C₂²⋊Q₈	—	86	2	no	—
765	C₂²⋊Q₈	—	86	2	no	—
766	C₂²⋊Q₈	—	86	2	no	—
767	C₂²⋊Q₈	—	86	1	no	—
768	#121	—	43	2	no	—
769	#121	—	43	2	no	—
770	#121	—	43	2	no	—
771	#121	—	86	2	no	—
772	#121	—	86	2	no	—
773	#121	—	86	2	no	—
774	#121	—	86	2	no	—
775	#121	—	86	2	no	—
776	#121	—	86	2	no	—
777	#121	—	86	1	no	—
778	#121	—	86	1	no	—
779	#121	—	86	1	no	—
780	C₄×Q₈	—	2	1	no	—
781	C₄×Q₈	—	2	1	no	—
782	C₄×Q₈	—	43	1	no	—
783	C₄×Q₈	—	43	1	no	—
784	C₄×Q₈	—	43	2	no	—
785	C₄×Q₈	—	43	2	no	—
786	C₄×Q₈	—	43	2	no	—
787	C₄×Q₈	—	43	2	no	—
788	C₄×Q₈	—	86	2	no	—
789	C₄×Q₈	—	86	2	no	—
790	C₄×Q₈	—	86	1	no	—
791	C₄×Q₈	—	86	1	no	—
792	C₄×Q₈	—	86	1	no	—
793	C₄×Q₈	—	86	2	no	—
794	C₄×Q₈	—	86	1	no	—
795	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
796	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
797	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
798	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
799	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
800	C₄×Q₈	C₂²×D₄₃	1	1	yes	characteristic
801	C₄×D₄	—	2	1	no	—
802	C₄×D₄	—	2	1	no	—
803	C₄×D₄	—	43	2	no	—
804	C₄×D₄	—	43	2	no	—
805	C₄×D₄	—	43	2	no	—
806	C₄×D₄	—	43	1	no	—
807	C₄×D₄	—	43	1	no	—
808	C₄×D₄	—	43	2	no	—
809	C₄×D₄	—	86	1	no	—
810	C₄×D₄	—	86	2	no	—
811	C₄×D₄	—	86	1	no	—
812	C₄×D₄	—	86	1	no	—
813	C₄×D₄	—	86	2	no	—
814	C₄×D₄	—	86	2	no	—
815	C₄×D₄	—	86	2	no	—
816	C₄×D₄	—	86	2	no	—
817	C₄×D₄	—	86	2	no	—
818	C₄×D₄	—	86	1	no	—
819	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
820	C₄×D₄	C₂²×D₄₃	1	1	yes	characteristic
821	#117	—	2	1	no	—
822	#117	—	43	1	no	—
823	#117	—	43	2	no	—
824	#117	—	43	2	no	—
825	#117	—	86	2	no	—
826	#117	—	86	2	no	—
827	#117	—	86	2	no	—
828	#117	—	86	1	no	—
829	#117	—	86	1	no	—
830	#117	C₂²×D₄₃	1	1	yes	characteristic
831	C₂×C₄⋊C₄	—	2	1	no	—
832	C₂×C₄⋊C₄	—	43	2	no	—
833	C₂×C₄⋊C₄	—	86	2	no	—
834	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
835	C₂×C₄²	—	2	1	no	—
836	C₂×C₄²	—	2	1	no	—
837	C₂×C₄²	—	43	2	no	—
838	C₂×C₄²	—	86	2	no	—
839	C₂×C₄²	—	86	2	no	—
840	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
841	#107	—	43	2	no	—
842	#107	—	43	2	no	—
843	#107	—	43	2	no	—
844	#107	—	43	2	no	—
845	#107	—	43	2	no	—
846	#107	C₂²×D₄₃	1	1	yes	characteristic
847	#107	C₂²×D₄₃	1	1	yes	characteristic
848	#106	—	43	2	no	—
849	#106	C₂²×D₄₃	1	1	yes	characteristic
850	#106	C₂²×D₄₃	1	1	yes	characteristic
851	C₄⋊C₈	—	43	2	no	—
852	C₄⋊C₈	—	43	2	no	—
853	C₄⋊C₈	—	43	1	no	—
854	C₄⋊C₈	—	43	1	no	—
855	#103	—	43	2	no	—
856	#103	—	43	2	no	—
857	#103	—	43	2	no	—
858	#103	—	43	2	no	—
859	#103	—	43	2	no	—
860	#103	—	43	2	no	—
861	#103	—	43	2	no	—
862	#103	C₂²×D₄₃	1	1	yes	characteristic
863	#103	C₂²×D₄₃	1	1	yes	characteristic
864	#103	C₂²×D₄₃	1	1	yes	characteristic
865	#103	C₂²×D₄₃	1	1	yes	characteristic
866	#103	C₂²×D₄₃	1	1	yes	characteristic
867	#103	C₂²×D₄₃	1	1	yes	characteristic
868	#102	—	43	2	no	—
869	#102	—	43	2	no	—
870	#102	—	43	2	no	—
871	#102	—	43	2	no	—
872	#102	—	43	2	no	—
873	#102	C₂²×D₄₃	1	1	yes	characteristic
874	#102	C₂²×D₄₃	1	1	yes	characteristic
875	C₂²⋊C₈	—	43	2	no	—
876	C₂²⋊C₈	—	43	2	no	—
877	C₂²⋊C₈	—	43	2	no	—
878	#97	—	43	2	no	—
879	#97	C₂²×D₄₃	1	1	yes	characteristic
880	#97	C₂²×D₄₃	1	1	yes	characteristic
881	C₄×C₈	—	43	2	no	—
882	C₄×C₈	—	43	2	no	—
883	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
884	C₄×C₈	C₂²×D₄₃	1	1	yes	characteristic
885	#41	—	2	2	no	—
886	#41	—	4	1	no	—
887	#41	—	86	4	no	—
888	#41	—	86	4	no	—
889	#41	—	344	2	no	—
890	#41	—	344	4	no	—
891	#41	—	172	4	no	—
892	#41	—	172	2	no	—
893	C₂×Q₈	—	2	1	no	—
894	C₂×Q₈	—	2	2	no	—
895	C₂×Q₈	—	4	1	no	—
896	C₂×Q₈	—	43	1	no	—
897	C₂×Q₈	—	43	2	no	—
898	C₂×Q₈	—	86	2	no	—
899	C₂×Q₈	—	86	2	no	—
900	C₂×Q₈	—	86	2	no	—
901	C₂×Q₈	—	86	1	no	—
902	C₂×Q₈	—	86	1	no	—
903	C₂×Q₈	—	86	4	no	—
904	C₂×Q₈	—	172	2	no	—
905	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
906	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
907	C₂×Q₈	C₂³×D₄₃	1	1	yes	characteristic
908	C₂×D₄	—	2	1	no	—
909	C₂×D₄	—	43	2	no	—
910	C₂×D₄	—	43	1	no	—
911	C₂×D₄	—	43	2	no	—
912	C₂×D₄	—	86	2	no	—
913	C₂×D₄	—	86	2	no	—
914	C₂×D₄	—	86	2	no	—
915	C₂×D₄	—	86	2	no	—
916	C₂×D₄	—	86	2	no	—
917	C₂×D₄	—	86	2	no	—
918	C₂×D₄	—	86	1	no	—
919	C₂×D₄	—	86	1	no	—
920	C₂×D₄	C₂³×D₄₃	1	1	yes	characteristic
921	C₂²×C₄	—	2	1	no	—
922	C₂²×C₄	—	2	1	no	—
923	C₂²×C₄	—	2	1	no	—
924	C₂²×C₄	—	2	1	no	—
925	C₂²×C₄	—	2	1	no	—
926	C₂²×C₄	—	43	2	no	—
927	C₂²×C₄	—	43	2	no	—
928	C₂²×C₄	—	43	2	no	—
929	C₂²×C₄	—	86	2	no	—
930	C₂²×C₄	—	86	2	no	—
931	C₂²×C₄	—	86	2	no	—
932	C₂²×C₄	—	86	2	no	—
933	C₂²×C₄	—	86	2	no	—
934	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
935	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
936	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
937	Q₁₆	—	2	2	no	—
938	Q₁₆	—	86	4	no	—
939	Q₁₆	#10621898	1	4	yes	complemented
940	SD₁₆	—	2	2	no	—
941	SD₁₆	—	2	2	no	—
942	SD₁₆	—	86	4	no	—
943	SD₁₆	—	86	4	no	—
944	SD₁₆	—	172	2	no	—
945	SD₁₆	—	172	2	no	—
946	SD₁₆	—	172	2	no	—
947	M₁₆	—	2	2	no	—
948	M₁₆	—	4	1	no	—
949	M₁₆	—	86	4	no	—
950	M₁₆	—	172	2	no	—
951	C₂×C₈	—	43	2	no	—
952	C₂×C₈	—	43	2	no	—
953	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
954	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
955	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
956	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
957	C₄⋊C₄	—	2	1	no	—
958	C₄⋊C₄	—	2	1	no	—
959	C₄⋊C₄	—	2	1	no	—
960	C₄⋊C₄	—	2	1	no	—
961	C₄⋊C₄	—	2	1	no	—
962	C₄⋊C₄	—	2	1	no	—
963	C₄⋊C₄	—	2	1	no	—
964	C₄⋊C₄	—	43	2	no	—
965	C₄⋊C₄	—	43	1	no	—
966	C₄⋊C₄	—	43	2	no	—
967	C₄⋊C₄	—	43	1	no	—
968	C₄⋊C₄	—	43	2	no	—
969	C₄⋊C₄	—	43	2	no	—
970	C₄⋊C₄	—	86	2	no	—
971	C₄⋊C₄	—	86	2	no	—
972	C₄⋊C₄	—	86	2	no	—
973	C₄⋊C₄	—	86	2	no	—
974	C₄⋊C₄	—	86	2	no	—
975	C₄⋊C₄	—	86	2	no	—
976	C₄⋊C₄	—	86	2	no	—
977	C₄⋊C₄	—	86	2	no	—
978	C₄⋊C₄	—	86	2	no	—
979	C₄⋊C₄	—	86	2	no	—
980	C₄⋊C₄	—	86	2	no	—
981	C₄⋊C₄	—	86	1	no	—
982	C₄⋊C₄	—	86	1	no	—
983	C₄⋊C₄	—	86	1	no	—
984	C₄⋊C₄	—	86	2	no	—
985	C₄⋊C₄	—	86	1	no	—
986	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
987	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
988	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
989	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
990	C₂²⋊C₄	—	2	1	no	—
991	C₂²⋊C₄	—	2	1	no	—
992	C₂²⋊C₄	—	2	1	no	—
993	C₂²⋊C₄	—	43	2	no	—
994	C₂²⋊C₄	—	43	2	no	—
995	C₂²⋊C₄	—	43	2	no	—
996	C₂²⋊C₄	—	86	2	no	—
997	C₂²⋊C₄	—	86	2	no	—
998	C₂²⋊C₄	—	86	2	no	—
999	C₂²⋊C₄	—	86	2	no	—
1000	C₂²⋊C₄	—	86	2	no	—
1001	C₂²⋊C₄	—	86	2	no	—
1002	C₂²⋊C₄	—	86	2	no	—
1003	C₂²⋊C₄	—	86	2	no	—
1004	C₂²⋊C₄	—	86	2	no	—
1005	C₄²	—	2	1	no	—
1006	C₄²	—	2	1	no	—
1007	C₄²	—	2	1	no	—
1008	C₄²	—	2	1	no	—
1009	C₄²	—	2	1	no	—
1010	C₄²	—	2	1	no	—
1011	C₄²	—	2	1	no	—
1012	C₄²	—	43	2	no	—
1013	C₄²	—	43	2	no	—
1014	C₄²	—	43	2	no	—
1015	C₄²	—	86	2	no	—
1016	C₄²	—	86	2	no	—
1017	C₄²	—	86	2	no	—
1018	C₄²	—	86	2	no	—
1019	C₄²	—	86	2	no	—
1020	C₄²	D₄×D₄₃	1	1	yes	characteristic
1021	C₄²	D₄×D₄₃	1	1	yes	characteristic
1022	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1023	C₄²	C₂³×D₄₃	1	1	yes	characteristic
1024	C₂³	—	2	1	no	—
1025	C₂³	—	43	2	no	—
1026	C₂³	—	86	2	no	—
1027	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1028	Q₈	—	2	1	no	—
1029	Q₈	—	2	1	no	—
1030	Q₈	—	2	1	no	—
1031	Q₈	—	2	1	no	—
1032	Q₈	—	4	2	no	—
1033	Q₈	—	43	4	no	—
1034	Q₈	—	86	2	no	—
1035	Q₈	—	86	2	no	—
1036	Q₈	—	344	1	no	—
1037	Q₈	—	344	1	no	—
1038	Q₈	—	344	2	no	—
1039	Q₈	—	344	2	no	—
1040	Q₈	—	172	4	no	—
1041	Q₈	C₂×#10621898	1	2	yes	—
1042	Q₈	C₂×#10621898	1	2	yes	—
1043	D₄	—	2	1	no	—
1044	D₄	—	2	1	no	—
1045	D₄	—	4	2	no	—
1046	D₄	—	86	4	no	—
1047	D₄	—	86	2	no	—
1048	D₄	—	86	2	no	—
1049	D₄	—	86	2	no	—
1050	D₄	—	344	1	no	—
1051	D₄	—	344	2	no	—
1052	D₄	—	344	2	no	—
1053	D₄	—	344	2	no	—
1054	D₄	—	344	2	no	—
1055	D₄	—	172	4	no	—
1056	D₄	—	172	4	no	—
1057	D₄	—	172	2	no	—
1058	C₂×C₄	—	2	1	no	—
1059	C₂×C₄	—	2	1	no	—
1060	C₂×C₄	—	2	2	no	—
1061	C₂×C₄	—	2	1	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	2	1	no	—
1064	C₂×C₄	—	2	1	no	—
1065	C₂×C₄	—	2	1	no	—
1066	C₂×C₄	—	2	1	no	—
1067	C₂×C₄	—	2	1	no	—
1068	C₂×C₄	—	4	1	no	—
1069	C₂×C₄	—	4	2	no	—
1070	C₂×C₄	—	4	2	no	—
1071	C₂×C₄	—	4	2	no	—
1072	C₂×C₄	—	4	2	no	—
1073	C₂×C₄	—	8	1	no	—
1074	C₂×C₄	—	43	2	no	—
1075	C₂×C₄	—	43	2	no	—
1076	C₂×C₄	—	43	2	no	—
1077	C₂×C₄	—	86	4	no	—
1078	C₂×C₄	—	86	2	no	—
1079	C₂×C₄	—	86	2	no	—
1080	C₂×C₄	—	86	2	no	—
1081	C₂×C₄	—	86	2	no	—
1082	C₂×C₄	—	86	2	no	—
1083	C₂×C₄	—	344	2	no	—
1084	C₂×C₄	—	172	2	no	—
1085	C₂×C₄	—	172	4	no	—
1086	C₂×C₄	—	172	4	no	—
1087	C₂×C₄	—	172	4	no	—
1088	C₂×C₄	—	172	4	no	—
1089	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1090	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1091	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1092	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1093	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1094	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1095	C₈	—	2	1	no	—
1096	C₈	—	2	1	no	—
1097	C₈	—	2	1	no	—
1098	C₈	—	86	2	no	—
1099	C₈	—	86	2	no	—
1100	C₈	C₂×#10621898	1	2	yes	—
1101	C₂²	—	2	1	no	—
1102	C₂²	—	2	1	no	—
1103	C₂²	—	2	1	no	—
1104	C₂²	—	4	1	no	—
1105	C₂²	—	4	1	no	—
1106	C₂²	—	4	1	no	—
1107	C₂²	—	86	2	no	—
1108	C₂²	—	86	2	no	—
1109	C₂²	—	86	2	no	—
1110	C₂²	—	172	2	no	—
1111	C₂²	—	172	2	no	—
1112	C₂²	—	172	2	no	—
1113	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1114	C₄	—	2	1	no	—
1115	C₄	—	2	1	no	—
1116	C₄	—	2	2	no	—
1117	C₄	—	2	2	no	—
1118	C₄	—	2	1	no	—
1119	C₄	—	2	1	no	—
1120	C₄	—	4	1	no	—
1121	C₄	—	4	1	no	—
1122	C₄	—	4	1	no	—
1123	C₄	—	4	1	no	—
1124	C₄	—	4	1	no	—
1125	C₄	—	43	4	no	—
1126	C₄	—	86	2	no	—
1127	C₄	—	86	2	no	—
1128	C₄	—	172	2	no	—
1129	C₄	—	172	2	no	—
1130	C₄	—	172	2	no	—
1131	C₄	#137×D₄₃	1	2	yes	—
1132	C₄	C₂²×#10621898	1	1	yes	characteristic
1133	C₄	#14583735	1	1	yes	characteristic
1134	C₂	—	4	1	no	—
1135	C₂	—	8	1	no	—
1136	C₂	—	344	2	no	—
1137	C₂	—	172	2	no	—
1138	C₂	D₄×#10621898	1	1	yes	characteristic
1139	C₂	C₂×#137×D₄₃	1	1	yes	characteristic
1140	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	C₄×#137×C₄₃	C₂
socle	C₂²×C₄₃	C₂³×D₄
prime radical	#19148221	C₂
hypercenter	C₄×#137	D₄₃
hypocenter	C₄₃	#61469
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ C₄×#137

Complements

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

N	H ≅ G/N	type
2. Q₈×#10621898	C₂	semidirect
3. #19147574	C₂	semidirect
4. Q₁₆×Dic₈₆	C₂	semidirect
5. #19147271	C₂	semidirect
6. #19147264	C₂	semidirect
7. #19147223	C₂	semidirect
8. #19147217	C₂	semidirect
9. #19146935	C₂	semidirect
10. #19146929	C₂	semidirect
11. #19146891	C₂	semidirect
12. #19146885	C₂	semidirect
13. #19146262	C₂	semidirect
14. #19146255	C₂	semidirect
15. #19145313	C₂	semidirect
16. #19145310	C₂	semidirect
17. #19144757	C₂	semidirect
18. #19144755	C₂	semidirect
19. #19144717	C₂	semidirect
20. #19144715	C₂	semidirect
21. #19143613	C₂	semidirect
22. #19143411	C₂	semidirect
23. C₄×#137×C₄₃	C₂	semidirect
367. Q₁₆×C₄₃	#41	semidirect
523. Dic₈₆	#137	semidirect
586. C₄×#137	D₄₃	semidirect
705. C₄₃	#61469	semidirect
939. Q₁₆	#10621898	semidirect

Maximal subgroups

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

subgroup	index
#19148221	2
Q₈×#10621898	2
#19147574	2
Q₁₆×Dic₈₆	2
#19147271	2
#19147264	2
#19147223	2
#19147217	2
#19146935	2
#19146929	2
#19146891	2
#19146885	2
#19146262	2
#19146255	2
#19145313	2
#19145310	2
#19144757	2
#19144755	2
#19144717	2
#19144715	2
#19143613	2
#19143411	2
C₄×#137×C₄₃	2
#61469	43