Subgroups — #25975568

Order 11008.

1824 conjugacy classes of subgroups.

The subgroup lattice has 1140 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148347	C₂	1	1	yes	maximal, characteristic, complemented
2	#19148330	C₂	1	1	yes	maximal, characteristic
3	#19147136	C₂	1	2	yes	maximal, complemented
4	#19147106	C₂	1	2	yes	maximal, complemented
5	#19147076	C₂	1	2	yes	maximal, complemented
6	#19147031	C₂	1	2	yes	maximal, complemented
7	#19147004	C₂	1	2	yes	maximal, complemented
8	#19146975	C₂	1	2	yes	maximal, complemented
9	#19146970	C₂	1	2	yes	maximal, complemented
10	#19146948	C₂	1	2	yes	maximal, complemented
11	#19145127	C₂	1	1	yes	maximal, characteristic, complemented
12	#19144567	C₂	1	1	yes	maximal, characteristic, complemented
13	#19144556	C₂	1	1	yes	maximal, characteristic, complemented
14	#19144543	C₂	1	1	yes	maximal, characteristic, complemented
15	#19144535	C₂	1	1	yes	maximal, characteristic, complemented
16	#19144440	C₂	1	1	yes	maximal, characteristic, complemented
17	#19144429	C₂	1	1	yes	maximal, characteristic, complemented
18	#19144235	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#14583128	C₂	1	1	yes	maximal, characteristic, complemented
20	#19143453	C₂	1	1	yes	maximal, characteristic, complemented
21	#19143289	C₂	1	1	yes	maximal, characteristic, complemented
22	#19143187	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄₃×#427	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂²×#10621873	C₂²	1	1	yes	characteristic
25	C₂×#13063331	C₂²	1	1	yes	characteristic
26	#14583617	C₂²	1	2	yes	complemented
27	#14583612	C₂²	1	2	yes	—
28	#14583604	C₂²	1	2	yes	complemented
29	#14583597	C₂²	1	2	yes	—
30	#14583593	C₂²	1	2	yes	—
31	#14583588	C₂²	1	2	yes	complemented
32	#14583584	C₂²	1	2	yes	complemented
33	#14583582	—	2	2	no	—
34	#14583575	—	2	2	no	—
35	#14583573	—	2	2	no	—
36	#14583550	C₂²	1	2	yes	—
37	#14583539	—	2	2	no	—
38	#14583527	C₂²	1	1	yes	characteristic
39	#14583527	C₂²	1	1	yes	characteristic
40	#14583520	—	2	1	no	—
41	#14583520	—	2	1	no	—
42	#14583511	—	2	1	no	—
43	#14583504	—	2	1	no	—
44	#14583475	C₂²	1	1	yes	characteristic
45	#14583468	C₂²	1	1	yes	characteristic
46	#14583456	—	2	1	no	—
47	#14583449	—	2	1	no	—
48	#14583433	—	2	1	no	—
49	#14583433	—	2	1	no	—
50	#14583410	C₂²	1	1	yes	characteristic
51	C₂×#13063304	C₂²	1	1	yes	characteristic
52	C₂×#13063299	C₂²	1	1	yes	characteristic
53	#14583379	C₂²	1	1	yes	characteristic
54	#14583379	C₂²	1	1	yes	characteristic
55	#14583376	C₂²	1	1	yes	characteristic
56	#14583373	C₂²	1	1	yes	characteristic
57	#14583307	C₂²	1	2	yes	complemented
58	#14583307	C₂²	1	2	yes	complemented
59	#14583299	C₂²	1	2	yes	complemented
60	#14583296	C₂²	1	2	yes	complemented
61	#14583243	C₂²	1	2	yes	complemented
62	#14583242	C₂²	1	2	yes	complemented
63	#14583240	C₂²	1	2	yes	complemented
64	#14583240	C₂²	1	2	yes	complemented
65	#14583236	C₂²	1	2	yes	complemented
66	#14583234	C₂²	1	2	yes	complemented
67	#14583231	C₂²	1	2	yes	complemented
68	#14583229	C₂²	1	2	yes	complemented
69	#14583226	C₂²	1	2	yes	complemented
70	#14583225	C₂²	1	2	yes	complemented
71	#14583223	C₂²	1	2	yes	—
72	#14583223	C₂²	1	2	yes	—
73	#14583219	C₂²	1	2	yes	complemented
74	#14583217	C₂²	1	2	yes	—
75	#14583214	C₂²	1	2	yes	complemented
76	#14583212	C₂²	1	2	yes	—
77	#14583209	C₂²	1	2	yes	complemented
78	#14583205	C₂²	1	2	yes	complemented
79	#14583202	C₂²	1	2	yes	complemented
80	#14583198	C₂²	1	2	yes	complemented
81	#14583193	C₂²	1	2	yes	complemented
82	#14583188	C₂²	1	2	yes	complemented
83	#14583183	C₂²	1	2	yes	complemented
84	#14583178	C₂²	1	2	yes	complemented
85	#14583146	C₂²	1	2	yes	complemented
86	#14583146	C₂²	1	2	yes	complemented
87	#14583129	C₂²	1	2	yes	complemented
88	#14583129	C₂²	1	2	yes	complemented
89	#14583128	C₂²	1	2	yes	—
90	#14583128	C₂²	1	2	yes	—
91	#14583128	C₂²	1	2	yes	—
92	#14583128	C₂²	1	2	yes	—
93	#14582998	C₂²	1	2	yes	complemented
94	#14582998	C₂²	1	2	yes	complemented
95	#14582986	C₂²	1	2	yes	complemented
96	#14582986	C₂²	1	2	yes	complemented
97	#14582970	C₂²	1	2	yes	complemented
98	#14582970	C₂²	1	2	yes	complemented
99	C₈×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
100	C₈×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
101	#14582942	C₂²	1	1	yes	characteristic
102	#14582942	C₂²	1	1	yes	characteristic
103	#14582942	C₂²	1	1	yes	characteristic
104	#14582942	C₂²	1	1	yes	characteristic
105	#14582940	C₂²	1	2	yes	complemented
106	#14582940	C₂²	1	2	yes	complemented
107	#14582934	C₂²	1	2	yes	complemented
108	C₂×#13063257	C₂²	1	1	yes	characteristic
109	#106×D₄₃	C₂²	1	2	yes	complemented
110	#14582925	C₂²	1	1	yes	characteristic
111	#14582907	C₂²	1	1	yes	characteristic
112	#14582907	C₂²	1	1	yes	characteristic
113	#14582903	C₂²	1	1	yes	characteristic
114	#14582903	C₂²	1	1	yes	characteristic
115	C₂×#13063250	C₂²	1	1	yes	characteristic
116	C₂×#13063247	C₂²	1	1	yes	characteristic
117	#14582865	C₂²	1	1	yes	characteristic
118	#14582863	C₂²	1	1	yes	characteristic
119	#14582854	C₂²	1	1	yes	characteristic
120	C₂³×C₈×C₄₃	C₂²	1	1	yes	characteristic
121	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic
122	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic
123	C₄₃×#427	C₂²	1	1	yes	characteristic
124	C₄₃×#427	C₂²	1	1	yes	characteristic
125	C₄₃×#427	C₂²	1	1	yes	characteristic
126	C₄₃×#427	C₂²	1	1	yes	characteristic
127	C₄₃×#427	C₂²	1	1	yes	characteristic, complemented
128	C₄₃×#427	C₂²	1	1	yes	characteristic, complemented
129	C₄₃×#427	C₂²	1	1	yes	characteristic, complemented
130	C₄₃×#427	C₂²	1	1	yes	characteristic, complemented
131	C₂×#107×C₄₃	C₂²	1	1	yes	characteristic, complemented
132	C₂×#107×C₄₃	C₂²	1	1	yes	characteristic, complemented
133	C₂×#106×C₄₃	C₂²	1	1	yes	characteristic, complemented
134	C₂×#106×C₄₃	C₂²	1	1	yes	characteristic, complemented
135	C₂×#10621898	—	2	2	no	—
136	C₂×#10621898	C₂³	1	1	yes	characteristic
137	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
138	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
139	C₂²×C₂²⋊D₄₃	—	2	1	no	—
140	C₂×#10621873	—	2	4	no	—
141	C₂×#10621873	C₂³	1	2	yes	—
142	C₂×#10621873	C₂³	1	2	yes	—
143	#13063331	—	2	4	no	—
144	C₂×#10621877	C₂³	1	1	yes	characteristic
145	C₂×#10621877	C₂³	1	1	yes	characteristic
146	C₂×#10621872	C₂³	1	2	yes	—
147	C₂×C₈×D₄₃	C₂³	1	2	yes	—
148	#13063325	—	2	1	no	—
149	#13063325	—	2	1	no	—
150	#13063325	—	2	1	no	—
151	#13063324	C₂³	1	2	yes	—
152	#13063324	C₂³	1	2	yes	—
153	#13063322	—	2	1	no	—
154	#13063320	—	2	2	no	—
155	#13063320	—	2	2	no	—
156	#13063319	—	2	2	no	—
157	#13063319	—	2	2	no	—
158	#13063318	—	2	2	no	—
159	#13063318	—	2	2	no	—
160	#13063317	—	2	1	no	—
161	#13063317	—	2	1	no	—
162	#13063317	—	2	2	no	—
163	#13063316	C₂³	1	2	yes	—
164	#13063316	C₂³	1	2	yes	—
165	#13063315	—	2	2	no	—
166	#13063315	—	2	2	no	—
167	#13063313	—	2	1	no	—
168	#13063313	—	2	1	no	—
169	#13063313	—	2	2	no	—
170	#13063311	—	2	2	no	—
171	#13063311	—	2	2	no	—
172	#13063310	—	2	2	no	—
173	#13063310	—	2	2	no	—
174	#13063309	—	2	2	no	—
175	#13063308	—	2	2	no	—
176	#13063308	—	2	2	no	—
177	#13063308	D₄	1	2	yes	—
178	#13063307	—	2	2	no	—
179	#13063307	—	2	2	no	—
180	#13063305	C₂³	1	2	yes	—
181	#13063305	C₂³	1	2	yes	—
182	#13063304	—	2	1	no	—
183	#13063304	—	2	1	no	—
184	#13063304	—	2	2	no	—
185	#13063304	D₄	1	1	yes	characteristic
186	#13063304	D₄	1	1	yes	characteristic
187	#13063304	C₂³	1	2	yes	—
188	#13063304	C₂³	1	2	yes	—
189	#13063303	—	2	2	no	—
190	#13063303	—	2	2	no	—
191	#13063302	—	2	2	no	—
192	#13063302	—	2	2	no	—
193	#13063300	C₂³	1	2	yes	—
194	#13063300	C₂³	1	2	yes	—
195	#13063299	—	2	1	no	—
196	#13063299	—	2	1	no	—
197	#13063299	—	2	2	no	—
198	#13063299	D₄	1	1	yes	characteristic
199	#13063299	D₄	1	1	yes	characteristic
200	#13063299	C₂³	1	2	yes	—
201	#13063299	C₂³	1	2	yes	—
202	#13063298	—	2	2	no	—
203	#13063298	—	2	2	no	—
204	#13063295	—	2	2	no	—
205	#13063294	D₄	1	2	yes	—
206	C₄×Dic₈₆	—	2	1	no	—
207	C₄×Dic₈₆	—	2	1	no	—
208	C₄×Dic₈₆	—	2	1	no	—
209	C₄×Dic₈₆	—	2	1	no	—
210	C₄×Dic₈₆	—	2	2	no	—
211	#13063290	C₂³	1	2	yes	—
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	#13063287	C₂³	1	2	yes	—
219	#13063287	C₂³	1	2	yes	—
220	C₄×C₂²⋊D₄₃	—	2	2	no	—
221	C₄×C₂²⋊D₄₃	—	2	2	no	—
222	C₄×C₂²⋊D₄₃	C₂³	1	2	yes	—
223	C₄×C₂²⋊D₄₃	C₂³	1	2	yes	—
224	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
225	(C₂²⋊D₄₃)⋊C₄	—	2	2	no	—
226	#13063284	—	2	2	no	—
227	#13063284	C₂³	1	1	yes	characteristic
228	#13063283	C₂³	1	2	yes	—
229	#13063283	C₂³	1	2	yes	—
230	#13063282	—	2	2	no	—
231	#13063282	—	2	2	no	—
232	#13063281	—	2	2	no	—
233	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
235	C₂×Dic₄₃⋊C₄	—	2	1	no	—
236	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
237	C₄⋊C₄×D₄₃	C₂³	1	2	yes	—
238	C₂×C₂²⋊Dic₄₃	—	2	1	no	—
239	C₂×(C₂×D₄₃)⋊C₄	—	2	1	no	—
240	C₂²⋊C₄×D₄₃	—	2	2	no	—
241	#13063258	C₂³	1	2	yes	—
242	#13063258	C₂³	1	2	yes	—
243	#13063258	C₂³	1	2	yes	—
244	#13063258	C₂³	1	2	yes	—
245	#13063257	C₂³	1	2	yes	—
246	#13063257	C₂³	1	2	yes	—
247	#13063256	C₂³	1	2	yes	—
248	#13063256	C₂³	1	2	yes	—
249	#13063256	C₂³	1	2	yes	—
250	#13063256	C₂³	1	2	yes	—
251	Dic₄₃⋊C₈	C₂³	1	2	yes	—
252	Dic₄₃⋊C₈	C₂³	1	2	yes	—
253	#13063250	C₂³	1	2	yes	—
254	#13063250	C₂³	1	2	yes	—
255	#13063248	C₂³	1	2	yes	—
256	#13063248	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	#13063245	C₂³	1	2	yes	—
262	#13063245	C₂³	1	2	yes	—
263	#13063245	C₂³	1	2	yes	—
264	#13063245	C₂³	1	2	yes	—
265	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
266	C₂²⋊(C₄₃⋊C₈)	C₂³	1	2	yes	—
267	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
268	(C₂×D₄₃)⋊C₈	C₂³	1	2	yes	—
269	#13063235	C₂³	1	2	yes	—
270	C₈×Dic₄₃	C₂³	1	2	yes	—
271	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
272	C₂²×C₈×C₄₃	—	2	4	no	—
273	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
274	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
275	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
276	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
277	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
278	C₂²×C₈×C₄₃	C₂³	1	1	yes	characteristic
279	#117×C₄₃	—	2	1	no	—
280	#117×C₄₃	—	2	1	no	—
281	#117×C₄₃	—	2	1	no	—
282	#117×C₄₃	—	2	1	no	—
283	#117×C₄₃	C₂³	1	1	yes	characteristic
284	#117×C₄₃	C₂³	1	1	yes	characteristic
285	#117×C₄₃	C₂³	1	1	yes	characteristic
286	#117×C₄₃	C₂³	1	1	yes	characteristic
287	#117×C₄₃	C₂³	1	1	yes	characteristic
288	#117×C₄₃	C₂³	1	1	yes	characteristic
289	#117×C₄₃	C₂³	1	1	yes	characteristic
290	#117×C₄₃	C₂³	1	1	yes	characteristic
291	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
292	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
293	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
294	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
295	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
296	C₂×C₂²⋊C₄×C₄₃	—	2	1	no	—
297	C₂×C₄²×C₄₃	—	2	1	no	—
298	C₂×C₄²×C₄₃	—	2	1	no	—
299	#107×C₄₃	C₂³	1	1	yes	characteristic
300	#107×C₄₃	C₂³	1	1	yes	characteristic
301	#107×C₄₃	C₂³	1	1	yes	characteristic
302	#107×C₄₃	C₂³	1	1	yes	characteristic
303	#107×C₄₃	C₂³	1	1	yes	characteristic
304	#107×C₄₃	C₂³	1	1	yes	characteristic
305	#107×C₄₃	C₂³	1	1	yes	characteristic
306	#107×C₄₃	C₂³	1	1	yes	characteristic
307	#106×C₄₃	C₂³	1	1	yes	characteristic
308	#106×C₄₃	C₂³	1	1	yes	characteristic
309	#106×C₄₃	C₂³	1	1	yes	characteristic
310	#106×C₄₃	C₂³	1	1	yes	characteristic
311	#106×C₄₃	C₂³	1	1	yes	characteristic
312	#106×C₄₃	C₂³	1	1	yes	characteristic
313	#106×C₄₃	C₂³	1	1	yes	characteristic
314	#106×C₄₃	C₂³	1	1	yes	characteristic
315	C₂⁴×C₄₃	C₂×D₄	1	1	yes	characteristic
316	C₂³×D₄₃	—	2	1	no	—
317	C₂²×C₄×C₄₃	—	2	2	no	—
318	C₂²×C₄×C₄₃	—	2	2	no	—
319	C₂²×C₄×C₄₃	—	2	1	no	—
320	C₂²×C₄×C₄₃	—	2	1	no	—
321	C₂²×C₄×C₄₃	—	2	1	no	—
322	C₂²×C₄×C₄₃	—	2	1	no	—
323	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
324	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
325	C₂²×C₄×C₄₃	C₂×D₄	1	1	yes	characteristic
326	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
327	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
328	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
329	C₂×C₂²⋊D₄₃	—	2	2	no	—
330	C₂×C₂²⋊D₄₃	—	2	2	no	—
331	C₂×C₂²⋊D₄₃	—	8	2	no	—
332	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
333	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
334	C₂×C₂²⋊D₄₃	C₂×D₄	1	2	yes	—
335	C₂²×Dic₄₃	—	2	1	no	—
336	C₂²×Dic₄₃	—	2	1	no	—
337	C₂²×Dic₄₃	—	2	1	no	—
338	#10621898	—	2	2	no	—
339	#10621898	—	2	2	no	—
340	#10621898	—	8	4	no	—
341	C₂×D₁₇₂	—	2	1	no	—
342	C₂×D₁₇₂	—	2	2	no	—
343	C₂×D₁₇₂	—	2	2	no	—
344	C₂×D₁₇₂	—	2	2	no	—
345	C₂×D₁₇₂	—	2	2	no	—
346	C₂×D₁₇₂	C₂×D₄	1	1	yes	characteristic
347	C₂×D₁₇₂	C₂⁴	1	2	yes	—
348	C₂×C₄×D₄₃	—	2	2	no	—
349	C₂×C₄×D₄₃	—	2	2	no	—
350	C₂×C₄×D₄₃	—	2	2	no	—
351	C₂×C₄×D₄₃	—	2	2	no	—
352	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
353	C₂×Dic₈₆	—	2	2	no	—
354	C₂×Dic₈₆	—	2	2	no	—
355	C₂×Dic₈₆	—	2	1	no	—
356	C₂×Dic₈₆	—	2	2	no	—
357	C₂×Dic₈₆	—	2	2	no	—
358	C₂×Dic₈₆	C₂×D₄	1	1	yes	characteristic
359	C₂×Dic₈₆	C₂⁴	1	2	yes	—
360	C₂×C₈×C₄₃	—	2	2	no	—
361	C₂×C₈×C₄₃	—	2	2	no	—
362	C₂×C₈×C₄₃	—	2	2	no	—
363	C₂×C₈×C₄₃	—	2	2	no	—
364	C₂×C₈×C₄₃	—	2	2	no	—
365	C₂×C₈×C₄₃	#41	1	4	yes	complemented
366	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
367	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
368	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
369	C₂×C₈×C₄₃	C₂⁴	1	1	yes	characteristic
370	C₄⋊C₄×C₄₃	—	2	1	no	—
371	C₄⋊C₄×C₄₃	—	2	1	no	—
372	C₄⋊C₄×C₄₃	—	2	1	no	—
373	C₄⋊C₄×C₄₃	—	2	1	no	—
374	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
375	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
376	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
377	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
378	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
379	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
380	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
381	C₄⋊C₄×C₄₃	C₂⁴	1	1	yes	characteristic
382	C₂²⋊C₄×C₄₃	—	2	1	no	—
383	C₂²⋊C₄×C₄₃	—	2	1	no	—
384	C₂²⋊C₄×C₄₃	—	2	1	no	—
385	C₂²⋊C₄×C₄₃	—	2	1	no	—
386	C₂²⋊C₄×C₄₃	—	2	1	no	—
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	—	2	1	no	—
398	C₂²⋊Dic₄₃	—	2	2	no	—
399	C₂²⋊Dic₄₃	—	2	2	no	—
400	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
401	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
402	C₂²⋊Dic₄₃	C₂×D₄	1	2	yes	—
403	(C₂×D₄₃)⋊C₄	—	2	2	no	—
404	(C₂×D₄₃)⋊C₄	—	2	2	no	—
405	(C₂×D₄₃)⋊C₄	—	2	2	no	—
406	(C₂×D₄₃)⋊C₄	—	2	2	no	—
407	(C₂×D₄₃)⋊C₄	—	2	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	C₂×D₄	1	2	yes	—
414	(C₂×D₄₃)⋊C₄	C₂×D₄	1	2	yes	—
415	C₄⋊Dic₄₃	—	2	1	no	—
416	C₄⋊Dic₄₃	—	2	1	no	—
417	C₄⋊Dic₄₃	—	2	2	no	—
418	C₄⋊Dic₄₃	—	2	2	no	—
419	C₄⋊Dic₄₃	—	2	2	no	—
420	C₄⋊Dic₄₃	—	2	2	no	—
421	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
422	C₄⋊Dic₄₃	C₂×D₄	1	1	yes	characteristic
423	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
424	C₄⋊Dic₄₃	C₂⁴	1	2	yes	—
425	Dic₄₃⋊C₄	—	2	2	no	—
426	Dic₄₃⋊C₄	—	2	2	no	—
427	Dic₄₃⋊C₄	—	2	2	no	—
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	C₂×D₄	1	2	yes	—
436	Dic₄₃⋊C₄	C₂×D₄	1	2	yes	—
437	C₄×Dic₄₃	—	2	2	no	—
438	C₄×Dic₄₃	—	2	2	no	—
439	C₄×Dic₄₃	—	2	2	no	—
440	C₄×Dic₄₃	—	2	2	no	—
441	C₄×Dic₄₃	C₂⁴	1	2	yes	—
442	#10621877	—	2	2	no	—
443	#10621877	—	2	2	no	—
444	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
445	C₂×C₄₃⋊C₈	C₂⁴	1	2	yes	—
446	#10621873	—	2	4	no	—
447	#10621873	—	2	4	no	—
448	#10621872	—	2	4	no	—
449	C₈×D₄₃	—	2	4	no	—
450	C₂³×C₄₃	—	2	2	no	—
451	C₂³×C₄₃	—	2	2	no	—
452	C₂³×C₄₃	—	4	1	no	—
453	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
454	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
455	C₂³×C₄₃	C₂²×D₄	1	1	yes	characteristic
456	C₂²×D₄₃	—	2	2	no	—
457	C₂²×D₄₃	—	4	2	no	—
458	C₂²×D₄₃	—	8	1	no	—
459	C₂²×D₄₃	—	8	1	no	—
460	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
461	C₂×C₄×C₄₃	—	2	2	no	—
462	C₂×C₄×C₄₃	—	2	2	no	—
463	C₂×C₄×C₄₃	—	2	2	no	—
464	C₂×C₄×C₄₃	—	2	1	no	—
465	C₂×C₄×C₄₃	—	2	1	no	—
466	C₂×C₄×C₄₃	—	2	1	no	—
467	C₂×C₄×C₄₃	—	2	1	no	—
468	C₂×C₄×C₄₃	—	2	1	no	—
469	C₂×C₄×C₄₃	—	2	1	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	—	4	2	no	—
477	C₂×C₄×C₄₃	—	4	2	no	—
478	C₂×C₄×C₄₃	—	8	1	no	—
479	C₂×C₄×C₄₃	—	8	1	no	—
480	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
481	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
482	C₂×C₄×C₄₃	C₂²×D₄	1	1	yes	characteristic
483	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
484	C₂×C₄×C₄₃	2₋¹⁺⁴	1	2	yes	—
485	C₂×C₄×C₄₃	C₂⁵	1	1	yes	characteristic
486	C₂²⋊D₄₃	—	2	4	no	—
487	C₂²⋊D₄₃	—	2	4	no	—
488	C₂²⋊D₄₃	—	4	2	no	—
489	C₂²⋊D₄₃	—	4	4	no	—
490	C₂²⋊D₄₃	—	8	2	no	—
491	C₂×Dic₄₃	—	2	2	no	—
492	C₂×Dic₄₃	—	2	2	no	—
493	C₂×Dic₄₃	—	2	2	no	—
494	C₂×Dic₄₃	—	4	2	no	—
495	C₂×Dic₄₃	—	8	1	no	—
496	C₂×Dic₄₃	—	8	1	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	2	no	—
504	D₁₇₂	—	8	2	no	—
505	D₁₇₂	—	8	2	no	—
506	C₄×D₄₃	—	2	2	no	—
507	C₄×D₄₃	—	2	2	no	—
508	C₄×D₄₃	—	8	2	no	—
509	C₄×D₄₃	—	8	2	no	—
510	C₄×D₄₃	—	8	2	no	—
511	C₄×D₄₃	—	8	2	no	—
512	Dic₈₆	—	2	2	no	—
513	Dic₈₆	—	2	2	no	—
514	Dic₈₆	—	2	2	no	—
515	Dic₈₆	—	4	2	no	—
516	Dic₈₆	—	8	2	no	—
517	Dic₈₆	—	8	2	no	—
518	C₈×C₄₃	—	2	1	no	—
519	C₈×C₄₃	—	2	1	no	—
520	C₈×C₄₃	C₂×#41	1	2	yes	—
521	C₈×C₄₃	C₂×#41	1	2	yes	—
522	C₄₃⋊C₈	—	2	2	no	—
523	C₄₃⋊C₈	—	2	2	no	—
524	#61263	—	43	1	no	maximal, Sylow
525	C₂²×C₄₃	—	2	1	no	—
526	C₂²×C₄₃	—	2	1	no	—
527	C₂²×C₄₃	—	2	1	no	—
528	C₂²×C₄₃	—	2	1	no	—
529	C₂²×C₄₃	—	2	1	no	—
530	C₂²×C₄₃	—	2	1	no	—
531	C₂²×C₄₃	—	2	1	no	—
532	C₂²×C₄₃	—	4	4	no	—
533	C₂²×C₄₃	#547	1	2	yes	—
534	C₂²×C₄₃	#577	1	2	yes	—
535	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
536	C₂×D₄₃	—	2	2	no	—
537	C₂×D₄₃	—	2	2	no	—
538	C₂×D₄₃	—	2	2	no	—
539	C₂×D₄₃	—	4	2	no	—
540	C₂×D₄₃	—	4	2	no	—
541	C₂×D₄₃	—	4	2	no	—
542	C₂×D₄₃	—	16	2	no	—
543	C₄×C₄₃	—	2	1	no	—
544	C₄×C₄₃	—	2	1	no	—
545	C₄×C₄₃	—	4	1	no	—
546	C₄×C₄₃	—	4	1	no	—
547	C₄×C₄₃	—	4	1	no	—
548	C₄×C₄₃	—	4	1	no	—
549	C₄×C₄₃	—	4	1	no	—
550	C₄×C₄₃	—	4	1	no	—
551	C₄×C₄₃	—	4	1	no	—
552	C₄×C₄₃	—	4	1	no	—
553	C₄×C₄₃	#547	1	2	yes	—
554	C₄×C₄₃	C₂²×#41	1	1	yes	characteristic
555	C₄×C₄₃	C₂×2₋¹⁺⁴	1	1	yes	characteristic
556	Dic₄₃	—	2	2	no	—
557	Dic₄₃	—	2	2	no	—
558	Dic₄₃	—	2	2	no	—
559	Dic₄₃	—	4	2	no	—
560	Dic₄₃	—	4	2	no	—
561	Dic₄₃	—	4	2	no	—
562	#3495	—	43	1	no	—
563	#3494	—	43	1	no	—
564	#3350	—	43	2	no	—
565	#3348	—	43	2	no	—
566	#3346	—	43	2	no	—
567	#3343	—	43	2	no	—
568	#3340	—	43	2	no	—
569	#3337	—	43	2	no	—
570	#3337	—	43	2	no	—
571	#3335	—	43	2	no	—
572	#3163	—	43	1	no	—
573	#3097	—	43	1	no	—
574	#3096	—	43	1	no	—
575	#3095	—	43	1	no	—
576	#3094	—	43	1	no	—
577	#3082	—	43	1	no	—
578	#3081	—	43	1	no	—
579	#3057	—	43	1	no	—
580	C₂×#465	—	43	1	no	—
581	#2949	—	43	1	no	—
582	#2929	—	43	1	no	—
583	#2912	—	43	1	no	—
584	C₂×#427	D₄₃	1	1	yes	characteristic, complemented
585	C₂×C₄₃	—	2	2	no	—
586	C₂×C₄₃	—	2	2	no	—
587	C₂×C₄₃	—	4	1	no	—
588	C₂×C₄₃	C₂×#547	1	1	yes	characteristic
589	C₂×C₄₃	C₂×#577	1	1	yes	characteristic
590	C₂×C₄₃	#3584	1	1	yes	characteristic
591	D₄₃	—	4	2	no	—
592	D₄₃	—	8	2	no	—
593	C₂²×SD₁₆	—	43	1	no	—
594	C₂×#131	—	43	1	no	—
595	C₂³×C₈	C₂×D₄₃	1	1	yes	characteristic
596	#556	—	43	2	no	—
597	#555	—	43	2	no	—
598	#554	—	43	2	no	—
599	#553	—	43	2	no	—
600	#553	—	43	2	no	—
601	#552	—	43	2	no	—
602	#552	—	43	2	no	—
603	#552	—	86	2	no	—
604	#551	—	86	2	no	—
605	#551	—	86	2	no	—
606	#547	—	43	2	no	—
607	#546	—	86	2	no	—
608	#544	—	43	1	no	—
609	#544	—	43	1	no	—
610	#542	—	86	1	no	—
611	#542	—	86	1	no	—
612	#541	—	86	1	no	—
613	#540	—	86	1	no	—
614	#536	—	43	1	no	—
615	#535	—	43	1	no	—
616	#533	—	86	1	no	—
617	#532	—	86	1	no	—
618	#529	—	86	1	no	—
619	#529	—	86	1	no	—
620	#525	—	43	1	no	—
621	C₂×C₂²⋊Q₈	—	43	1	no	—
622	C₂×#121	—	43	1	no	—
623	#520	—	43	1	no	—
624	#520	—	43	1	no	—
625	#519	—	43	1	no	—
626	#518	—	43	1	no	—
627	C₂×#117	C₂×D₄₃	1	1	yes	characteristic
628	C₂×#117	C₂×D₄₃	1	1	yes	characteristic
629	#501	—	43	2	no	—
630	#501	—	43	2	no	—
631	#499	—	43	2	no	—
632	#498	—	43	2	no	—
633	#485	—	43	2	no	—
634	#485	—	43	2	no	—
635	#485	—	43	2	no	—
636	#485	—	43	2	no	—
637	#484	—	43	2	no	—
638	#484	—	43	2	no	—
639	#483	—	43	2	no	—
640	#483	—	43	2	no	—
641	#482	—	43	2	no	—
642	#482	—	43	2	no	—
643	#482	—	43	2	no	—
644	#482	—	43	2	no	—
645	#481	—	43	2	no	—
646	#481	—	43	2	no	—
647	#480	—	43	2	no	—
648	#480	—	43	2	no	—
649	#479	—	43	2	no	—
650	#479	—	43	2	no	—
651	#478	—	43	2	no	—
652	#478	—	43	2	no	—
653	#477	—	43	2	no	—
654	#476	—	43	2	no	—
655	#475	—	43	2	no	—
656	#474	—	43	2	no	—
657	#468	—	43	2	no	—
658	#468	—	43	2	no	—
659	#465	—	43	2	no	—
660	#465	—	43	2	no	—
661	#465	—	43	2	no	—
662	#465	—	43	2	no	—
663	#465	—	43	2	no	—
664	#465	—	43	2	no	—
665	#440	—	43	2	no	—
666	#440	—	43	2	no	—
667	C₄×SD₁₆	—	43	2	no	—
668	C₄×SD₁₆	—	43	2	no	—
669	#435	—	43	2	no	—
670	#435	—	43	2	no	—
671	C₈×D₄	—	43	2	no	—
672	C₈×D₄	—	43	2	no	—
673	#428	—	43	1	no	—
674	#428	—	43	1	no	—
675	#428	—	43	1	no	—
676	#428	—	43	1	no	—
677	#428	—	43	2	no	—
678	#428	—	43	2	no	—
679	#427	—	43	2	no	—
680	#427	C₂×D₄₃	1	1	yes	characteristic
681	#427	C₂×D₄₃	1	1	yes	characteristic
682	#427	C₂×D₄₃	1	1	yes	characteristic
683	#427	C₂×D₄₃	1	1	yes	characteristic
684	#427	C₂×D₄₃	1	1	yes	characteristic, complemented
685	#427	C₂×D₄₃	1	1	yes	characteristic, complemented
686	#427	C₂×D₄₃	1	1	yes	characteristic, complemented
687	#427	C₂×D₄₃	1	1	yes	characteristic, complemented
688	C₂×#107	C₂×D₄₃	1	1	yes	characteristic, complemented
689	C₂×#107	C₂×D₄₃	1	1	yes	characteristic, complemented
690	C₂×#106	—	43	1	no	—
691	C₂×#106	—	43	2	no	—
692	C₂×#106	C₂×D₄₃	1	1	yes	characteristic, complemented
693	C₂×#106	C₂×D₄₃	1	1	yes	characteristic, complemented
694	#424	—	43	1	no	—
695	#419	—	43	1	no	—
696	#419	—	43	1	no	—
697	#418	—	43	1	no	—
698	#418	—	43	1	no	—
699	C₂×#103	—	43	1	no	—
700	C₂×#102	—	43	1	no	—
701	#408	—	43	1	no	—
702	#407	—	43	1	no	—
703	#405	—	43	1	no	—
704	C₄₃	#61263	1	1	yes	characteristic, complemented, Sylow
705	C₂×#41	—	43	1	no	—
706	C₂×#41	—	86	2	no	—
707	C₂²×Q₈	—	43	1	no	—
708	C₂²×D₄	—	43	1	no	—
709	C₂²×D₄	—	86	1	no	—
710	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
711	C₂×SD₁₆	—	43	2	no	—
712	C₂×SD₁₆	—	43	2	no	—
713	C₂×SD₁₆	—	86	4	no	—
714	#131	—	86	4	no	—
715	C₂×M₁₆	—	43	1	no	—
716	C₂×M₁₆	—	43	1	no	—
717	C₂×M₁₆	—	43	2	no	—
718	C₂²×C₈	—	2	4	no	—
719	C₂²×C₈	—	43	2	no	—
720	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
721	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
722	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
723	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
724	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
725	C₂²×C₈	C₂²×D₄₃	1	1	yes	characteristic
726	C₄⋊Q₈	—	43	2	no	—
727	C₄⋊Q₈	—	43	2	no	—
728	C₄⋊Q₈	—	86	1	no	—
729	C₄⋊Q₈	—	86	1	no	—
730	C₄⋊Q₈	—	86	1	no	—
731	#127	—	86	1	no	—
732	#126	—	86	2	no	—
733	#126	—	86	2	no	—
734	#126	—	86	2	no	—
735	#126	—	86	2	no	—
736	#126	—	86	2	no	—
737	#126	—	86	2	no	—
738	#125	—	43	2	no	—
739	#125	—	43	2	no	—
740	#125	—	86	1	no	—
741	#125	—	86	1	no	—
742	#125	—	86	2	no	—
743	#125	—	86	2	no	—
744	#125	—	86	2	no	—
745	#124	—	86	2	no	—
746	#124	—	86	1	no	—
747	#124	—	86	1	no	—
748	#124	—	86	2	no	—
749	#124	—	86	2	no	—
750	#123	—	43	2	no	—
751	#123	—	86	2	no	—
752	#123	—	86	2	no	—
753	#123	—	86	2	no	—
754	#123	—	86	2	no	—
755	#123	—	86	2	no	—
756	#123	—	86	2	no	—
757	#123	—	86	2	no	—
758	C₂²⋊Q₈	—	43	1	no	—
759	C₂²⋊Q₈	—	43	1	no	—
760	C₂²⋊Q₈	—	43	2	no	—
761	C₂²⋊Q₈	—	43	2	no	—
762	C₂²⋊Q₈	—	43	2	no	—
763	C₂²⋊Q₈	—	43	2	no	—
764	C₂²⋊Q₈	—	86	2	no	—
765	C₂²⋊Q₈	—	86	2	no	—
766	C₂²⋊Q₈	—	86	2	no	—
767	C₂²⋊Q₈	—	86	2	no	—
768	C₂²⋊Q₈	—	86	2	no	—
769	C₂²⋊Q₈	—	86	1	no	—
770	C₂²⋊Q₈	—	86	1	no	—
771	#121	—	43	1	no	—
772	#121	—	43	1	no	—
773	#121	—	43	2	no	—
774	#121	—	43	2	no	—
775	#121	—	43	2	no	—
776	#121	—	43	2	no	—
777	#121	—	86	2	no	—
778	#121	—	86	2	no	—
779	#121	—	86	2	no	—
780	#121	—	86	1	no	—
781	#121	—	86	1	no	—
782	#120	—	43	2	no	—
783	#120	—	86	2	no	—
784	C₄×Q₈	—	43	2	no	—
785	C₄×Q₈	—	43	2	no	—
786	C₄×Q₈	—	86	1	no	—
787	C₄×Q₈	—	86	1	no	—
788	C₄×Q₈	—	86	2	no	—
789	C₄×Q₈	—	86	1	no	—
790	C₄×Q₈	—	86	1	no	—
791	C₄×D₄	—	43	2	no	—
792	C₄×D₄	—	43	2	no	—
793	C₄×D₄	—	43	2	no	—
794	C₄×D₄	—	43	2	no	—
795	C₄×D₄	—	86	2	no	—
796	C₄×D₄	—	86	1	no	—
797	C₄×D₄	—	86	1	no	—
798	C₄×D₄	—	86	1	no	—
799	C₄×D₄	—	86	1	no	—
800	C₄×D₄	—	86	2	no	—
801	C₄×D₄	—	86	2	no	—
802	C₄×D₄	—	86	2	no	—
803	C₄×D₄	—	86	2	no	—
804	#117	—	2	1	no	—
805	#117	—	2	1	no	—
806	#117	—	2	1	no	—
807	#117	—	2	1	no	—
808	#117	—	43	1	no	—
809	#117	—	43	2	no	—
810	#117	—	43	2	no	—
811	#117	—	86	2	no	—
812	#117	—	86	2	no	—
813	#117	—	86	2	no	—
814	#117	—	86	2	no	—
815	#117	C₂²×D₄₃	1	1	yes	characteristic
816	#117	C₂²×D₄₃	1	1	yes	characteristic
817	#117	C₂²×D₄₃	1	1	yes	characteristic
818	#117	C₂²×D₄₃	1	1	yes	characteristic
819	#117	C₂²×D₄₃	1	1	yes	characteristic
820	#117	C₂²×D₄₃	1	1	yes	characteristic
821	#117	C₂²×D₄₃	1	1	yes	characteristic
822	#117	C₂²×D₄₃	1	1	yes	characteristic
823	C₂×C₄⋊C₄	—	43	1	no	—
824	C₂×C₄⋊C₄	—	43	1	no	—
825	C₂×C₄⋊C₄	—	43	2	no	—
826	C₂×C₄⋊C₄	—	43	2	no	—
827	C₂×C₄⋊C₄	—	86	1	no	—
828	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
829	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
830	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
831	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
832	C₂×C₂²⋊C₄	—	2	1	no	—
833	C₂×C₂²⋊C₄	—	2	1	no	—
834	C₂×C₂²⋊C₄	—	86	2	no	—
835	C₂×C₂²⋊C₄	—	86	1	no	—
836	C₂×C₂²⋊C₄	—	86	1	no	—
837	C₂×C₄²	—	2	1	no	—
838	C₂×C₄²	—	2	1	no	—
839	#107	—	43	2	no	—
840	#107	—	43	2	no	—
841	#107	—	43	2	no	—
842	#107	—	43	2	no	—
843	#107	C₂²×D₄₃	1	1	yes	characteristic
844	#107	C₂²×D₄₃	1	1	yes	characteristic
845	#107	C₂²×D₄₃	1	1	yes	characteristic
846	#107	C₂²×D₄₃	1	1	yes	characteristic
847	#107	C₂²×D₄₃	1	1	yes	characteristic
848	#107	C₂²×D₄₃	1	1	yes	characteristic
849	#107	C₂²×D₄₃	1	1	yes	characteristic
850	#107	C₂²×D₄₃	1	1	yes	characteristic
851	#106	—	43	2	no	—
852	#106	—	43	2	no	—
853	#106	—	43	2	no	—
854	#106	—	43	2	no	—
855	#106	—	43	2	no	—
856	#106	—	43	2	no	—
857	#106	C₂²×D₄₃	1	1	yes	characteristic
858	#106	C₂²×D₄₃	1	1	yes	characteristic
859	#106	C₂²×D₄₃	1	1	yes	characteristic
860	#106	C₂²×D₄₃	1	1	yes	characteristic
861	#106	C₂²×D₄₃	1	1	yes	characteristic
862	#106	C₂²×D₄₃	1	1	yes	characteristic
863	#106	C₂²×D₄₃	1	1	yes	characteristic
864	#106	C₂²×D₄₃	1	1	yes	characteristic
865	C₄⋊C₈	—	43	2	no	—
866	C₄⋊C₈	—	43	2	no	—
867	#103	—	43	2	no	—
868	#103	—	43	2	no	—
869	#103	—	43	2	no	—
870	#103	—	43	2	no	—
871	#103	—	43	2	no	—
872	#103	—	43	2	no	—
873	#102	—	43	2	no	—
874	#102	—	43	2	no	—
875	#102	—	43	2	no	—
876	#102	—	43	2	no	—
877	#102	—	43	2	no	—
878	#102	—	43	2	no	—
879	C₂²⋊C₈	—	43	2	no	—
880	C₂²⋊C₈	—	43	2	no	—
881	C₂²⋊C₈	—	43	2	no	—
882	C₂²⋊C₈	—	43	2	no	—
883	#97	—	43	2	no	—
884	C₄×C₈	—	43	2	no	—
885	C₂⁴	—	86	1	no	—
886	C₂⁴	D₄×D₄₃	1	1	yes	characteristic
887	#41	—	86	2	no	—
888	#41	—	86	2	no	—
889	#41	—	344	4	no	—
890	C₂×Q₈	—	43	1	no	—
891	C₂×Q₈	—	43	2	no	—
892	C₂×Q₈	—	86	2	no	—
893	C₂×Q₈	—	86	2	no	—
894	C₂×Q₈	—	86	1	no	—
895	C₂×Q₈	—	86	2	no	—
896	C₂×Q₈	—	86	2	no	—
897	C₂×D₄	—	43	2	no	—
898	C₂×D₄	—	43	2	no	—
899	C₂×D₄	—	43	2	no	—
900	C₂×D₄	—	43	1	no	—
901	C₂×D₄	—	43	2	no	—
902	C₂×D₄	—	86	2	no	—
903	C₂×D₄	—	86	2	no	—
904	C₂×D₄	—	86	2	no	—
905	C₂×D₄	—	86	2	no	—
906	C₂×D₄	—	86	1	no	—
907	C₂×D₄	—	86	2	no	—
908	C₂×D₄	—	86	2	no	—
909	C₂×D₄	—	344	2	no	—
910	C₂²×C₄	—	2	2	no	—
911	C₂²×C₄	—	2	2	no	—
912	C₂²×C₄	—	2	1	no	—
913	C₂²×C₄	—	2	1	no	—
914	C₂²×C₄	—	2	1	no	—
915	C₂²×C₄	—	2	1	no	—
916	C₂²×C₄	—	43	2	no	—
917	C₂²×C₄	—	86	2	no	—
918	C₂²×C₄	—	86	2	no	—
919	C₂²×C₄	—	86	2	no	—
920	C₂²×C₄	—	86	2	no	—
921	C₂²×C₄	—	86	1	no	—
922	C₂²×C₄	—	86	1	no	—
923	C₂²×C₄	—	86	1	no	—
924	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
925	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
926	C₂²×C₄	D₄×D₄₃	1	1	yes	characteristic
927	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
928	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
929	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
930	SD₁₆	—	86	4	no	—
931	SD₁₆	—	86	4	no	—
932	M₁₆	—	86	2	no	—
933	M₁₆	—	86	2	no	—
934	M₁₆	—	86	4	no	—
935	C₂×C₈	—	2	2	no	—
936	C₂×C₈	—	2	2	no	—
937	C₂×C₈	—	2	2	no	—
938	C₂×C₈	—	2	2	no	—
939	C₂×C₈	—	2	2	no	—
940	C₂×C₈	—	43	2	no	—
941	C₂×C₈	—	43	2	no	—
942	C₂×C₈	—	86	4	no	—
943	C₂×C₈	#10621898	1	4	yes	complemented
944	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
945	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
946	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
947	C₂×C₈	C₂³×D₄₃	1	1	yes	characteristic
948	C₄⋊C₄	—	2	1	no	—
949	C₄⋊C₄	—	2	1	no	—
950	C₄⋊C₄	—	2	1	no	—
951	C₄⋊C₄	—	2	1	no	—
952	C₄⋊C₄	—	43	1	no	—
953	C₄⋊C₄	—	43	1	no	—
954	C₄⋊C₄	—	43	2	no	—
955	C₄⋊C₄	—	43	2	no	—
956	C₄⋊C₄	—	43	2	no	—
957	C₄⋊C₄	—	43	2	no	—
958	C₄⋊C₄	—	86	2	no	—
959	C₄⋊C₄	—	86	2	no	—
960	C₄⋊C₄	—	86	2	no	—
961	C₄⋊C₄	—	86	2	no	—
962	C₄⋊C₄	—	86	2	no	—
963	C₄⋊C₄	—	86	2	no	—
964	C₄⋊C₄	—	86	2	no	—
965	C₄⋊C₄	—	86	2	no	—
966	C₄⋊C₄	—	86	2	no	—
967	C₄⋊C₄	—	86	2	no	—
968	C₄⋊C₄	—	86	2	no	—
969	C₄⋊C₄	—	86	2	no	—
970	C₄⋊C₄	—	86	1	no	—
971	C₄⋊C₄	—	86	1	no	—
972	C₄⋊C₄	—	86	2	no	—
973	C₄⋊C₄	—	86	2	no	—
974	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
975	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
976	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
977	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
978	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
979	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
980	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
981	C₄⋊C₄	C₂³×D₄₃	1	1	yes	characteristic
982	C₂²⋊C₄	—	2	1	no	—
983	C₂²⋊C₄	—	2	1	no	—
984	C₂²⋊C₄	—	2	1	no	—
985	C₂²⋊C₄	—	2	1	no	—
986	C₂²⋊C₄	—	2	1	no	—
987	C₂²⋊C₄	—	2	1	no	—
988	C₂²⋊C₄	—	2	1	no	—
989	C₂²⋊C₄	—	2	1	no	—
990	C₂²⋊C₄	—	43	2	no	—
991	C₂²⋊C₄	—	43	2	no	—
992	C₂²⋊C₄	—	43	2	no	—
993	C₂²⋊C₄	—	43	2	no	—
994	C₂²⋊C₄	—	43	2	no	—
995	C₂²⋊C₄	—	86	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	C₂²⋊C₄	—	86	2	no	—
1006	C₂²⋊C₄	—	86	2	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	—	2	1	no	—
1013	C₄²	—	2	1	no	—
1014	C₄²	—	2	1	no	—
1015	C₄²	—	43	2	no	—
1016	C₄²	—	86	2	no	—
1017	C₄²	—	86	2	no	—
1018	C₄²	—	86	2	no	—
1019	C₄²	—	86	2	no	—
1020	C₂³	—	2	2	no	—
1021	C₂³	—	2	2	no	—
1022	C₂³	—	4	1	no	—
1023	C₂³	—	43	2	no	—
1024	C₂³	—	86	2	no	—
1025	C₂³	—	344	1	no	—
1026	C₂³	—	344	1	no	—
1027	C₂³	—	172	2	no	—
1028	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1029	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1030	C₂³	C₂×D₄×D₄₃	1	1	yes	characteristic
1031	Q₈	—	86	2	no	—
1032	Q₈	—	86	2	no	—
1033	Q₈	—	86	2	no	—
1034	Q₈	—	344	2	no	—
1035	Q₈	—	344	2	no	—
1036	Q₈	—	172	2	no	—
1037	D₄	—	86	4	no	—
1038	D₄	—	86	4	no	—
1039	D₄	—	86	2	no	—
1040	D₄	—	86	2	no	—
1041	D₄	—	86	2	no	—
1042	D₄	—	344	2	no	—
1043	D₄	—	344	2	no	—
1044	D₄	—	344	2	no	—
1045	D₄	—	172	2	no	—
1046	D₄	—	172	4	no	—
1047	D₄	—	172	2	no	—
1048	C₂×C₄	—	2	2	no	—
1049	C₂×C₄	—	2	1	no	—
1050	C₂×C₄	—	2	1	no	—
1051	C₂×C₄	—	2	1	no	—
1052	C₂×C₄	—	2	1	no	—
1053	C₂×C₄	—	2	2	no	—
1054	C₂×C₄	—	2	2	no	—
1055	C₂×C₄	—	2	1	no	—
1056	C₂×C₄	—	2	1	no	—
1057	C₂×C₄	—	2	1	no	—
1058	C₂×C₄	—	2	1	no	—
1059	C₂×C₄	—	2	1	no	—
1060	C₂×C₄	—	2	1	no	—
1061	C₂×C₄	—	2	1	no	—
1062	C₂×C₄	—	2	1	no	—
1063	C₂×C₄	—	4	2	no	—
1064	C₂×C₄	—	4	2	no	—
1065	C₂×C₄	—	8	1	no	—
1066	C₂×C₄	—	8	1	no	—
1067	C₂×C₄	—	43	2	no	—
1068	C₂×C₄	—	43	2	no	—
1069	C₂×C₄	—	43	2	no	—
1070	C₂×C₄	—	86	2	no	—
1071	C₂×C₄	—	86	2	no	—
1072	C₂×C₄	—	86	2	no	—
1073	C₂×C₄	—	86	2	no	—
1074	C₂×C₄	—	86	2	no	—
1075	C₂×C₄	—	344	2	no	—
1076	C₂×C₄	—	344	2	no	—
1077	C₂×C₄	—	344	2	no	—
1078	C₂×C₄	—	344	2	no	—
1079	C₂×C₄	—	344	1	no	—
1080	C₂×C₄	—	344	1	no	—
1081	C₂×C₄	—	172	2	no	—
1082	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1083	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1084	C₂×C₄	C₂×D₄×D₄₃	1	1	yes	characteristic
1085	C₂×C₄	C₂×#10621898	1	2	yes	—
1086	C₂×C₄	#13063373	1	2	yes	—
1087	C₂×C₄	C₂⁴×D₄₃	1	1	yes	characteristic
1088	C₈	—	2	1	no	—
1089	C₈	—	2	1	no	—
1090	C₈	—	86	2	no	—
1091	C₈	—	86	2	no	—
1092	C₈	C₂×#10621898	1	2	yes	—
1093	C₈	C₂×#10621898	1	2	yes	—
1094	C₂²	—	2	1	no	—
1095	C₂²	—	2	1	no	—
1096	C₂²	—	2	1	no	—
1097	C₂²	—	2	1	no	—
1098	C₂²	—	2	1	no	—
1099	C₂²	—	2	1	no	—
1100	C₂²	—	2	1	no	—
1101	C₂²	—	4	4	no	—
1102	C₂²	—	86	2	no	—
1103	C₂²	—	86	2	no	—
1104	C₂²	—	86	2	no	—
1105	C₂²	—	172	2	no	—
1106	C₂²	—	172	2	no	—
1107	C₂²	—	172	2	no	—
1108	C₂²	—	688	2	no	—
1109	C₂²	#14583550	1	2	yes	—
1110	C₂²	#14583706	1	2	yes	—
1111	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1112	C₄	—	2	1	no	—
1113	C₄	—	2	1	no	—
1114	C₄	—	4	1	no	—
1115	C₄	—	4	1	no	—
1116	C₄	—	4	1	no	—
1117	C₄	—	4	1	no	—
1118	C₄	—	4	1	no	—
1119	C₄	—	4	1	no	—
1120	C₄	—	4	1	no	—
1121	C₄	—	4	1	no	—
1122	C₄	—	86	2	no	—
1123	C₄	—	86	2	no	—
1124	C₄	—	86	2	no	—
1125	C₄	—	172	2	no	—
1126	C₄	—	172	2	no	—
1127	C₄	—	172	2	no	—
1128	C₄	#14583550	1	2	yes	—
1129	C₄	C₂²×#10621898	1	1	yes	characteristic
1130	C₄	C₂×#13063373	1	1	yes	characteristic
1131	C₂	—	2	2	no	—
1132	C₂	—	2	2	no	—
1133	C₂	—	4	1	no	—
1134	C₂	—	344	2	no	—
1135	C₂	—	172	2	no	—
1136	C₂	C₂×#14583550	1	1	yes	characteristic
1137	C₂	C₂×#14583706	1	1	yes	characteristic
1138	C₂	#19149364	1	1	yes	characteristic

	subgroup	G/H
center	C₂²	C₂²×D₄×D₄₃
commutator, cosocle	C₂×C₄×C₄₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₄₃
Fitting	C₂×C₄₃×#427	C₂
socle	C₂²×C₄₃	C₂³×D₄
prime radical	#19148330	C₂
hypercenter	C₂×#427	D₄₃
hypocenter	C₄₃	#61263
LCS	G ▷ C₂×C₄×C₄₃ ▷ C₂×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ C₂³×C₄ ◁ C₂×#427

Complements

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

N	H ≅ G/N	type
1. #19148347	C₂	semidirect
3. #19147136	C₂	semidirect
4. #19147106	C₂	semidirect
5. #19147076	C₂	semidirect
6. #19147031	C₂	semidirect
7. #19147004	C₂	semidirect
8. #19146975	C₂	semidirect
9. #19146970	C₂	semidirect
10. #19146948	C₂	semidirect
11. #19145127	C₂	semidirect
12. #19144567	C₂	semidirect
13. #19144556	C₂	semidirect
14. #19144543	C₂	semidirect
15. #19144535	C₂	semidirect
16. #19144440	C₂	semidirect
17. #19144429	C₂	semidirect
18. #19144235	C₂	semidirect
19. C₂×#14583128	C₂	semidirect
20. #19143453	C₂	semidirect
21. #19143289	C₂	semidirect
22. #19143187	C₂	semidirect
23. C₂×C₄₃×#427	C₂	semidirect
26. #14583617	C₂²	semidirect
28. #14583604	C₂²	semidirect
31. #14583588	C₂²	semidirect
32. #14583584	C₂²	semidirect
57. #14583307	C₂²	semidirect
58. #14583307	C₂²	semidirect
59. #14583299	C₂²	semidirect
60. #14583296	C₂²	semidirect
61. #14583243	C₂²	semidirect
62. #14583242	C₂²	semidirect
63. #14583240	C₂²	semidirect
64. #14583240	C₂²	semidirect
65. #14583236	C₂²	semidirect
66. #14583234	C₂²	semidirect
67. #14583231	C₂²	semidirect
68. #14583229	C₂²	semidirect
69. #14583226	C₂²	semidirect
70. #14583225	C₂²	semidirect
73. #14583219	C₂²	semidirect
75. #14583214	C₂²	semidirect
77. #14583209	C₂²	semidirect
78. #14583205	C₂²	semidirect
79. #14583202	C₂²	semidirect
80. #14583198	C₂²	semidirect
81. #14583193	C₂²	semidirect
82. #14583188	C₂²	semidirect
83. #14583183	C₂²	semidirect
84. #14583178	C₂²	semidirect
85. #14583146	C₂²	semidirect
86. #14583146	C₂²	semidirect
87. #14583129	C₂²	semidirect
88. #14583129	C₂²	semidirect
93. #14582998	C₂²	semidirect
94. #14582998	C₂²	semidirect
95. #14582986	C₂²	semidirect
96. #14582986	C₂²	semidirect
97. #14582970	C₂²	semidirect
98. #14582970	C₂²	semidirect
99. C₈×C₂²⋊D₄₃	C₂²	semidirect
100. C₈×C₂²⋊D₄₃	C₂²	semidirect
105. #14582940	C₂²	semidirect
106. #14582940	C₂²	semidirect
107. #14582934	C₂²	semidirect
109. #106×D₄₃	C₂²	semidirect
127. C₄₃×#427	C₂²	semidirect
128. C₄₃×#427	C₂²	semidirect
129. C₄₃×#427	C₂²	semidirect
130. C₄₃×#427	C₂²	semidirect
131. C₂×#107×C₄₃	C₂²	semidirect
132. C₂×#107×C₄₃	C₂²	semidirect
133. C₂×#106×C₄₃	C₂²	semidirect
134. C₂×#106×C₄₃	C₂²	semidirect
365. C₂×C₈×C₄₃	#41	semidirect
584. C₂×#427	D₄₃	semidirect
684. #427	C₂×D₄₃	semidirect
685. #427	C₂×D₄₃	semidirect
686. #427	C₂×D₄₃	semidirect
687. #427	C₂×D₄₃	semidirect
688. C₂×#107	C₂×D₄₃	semidirect
689. C₂×#107	C₂×D₄₃	semidirect
692. C₂×#106	C₂×D₄₃	semidirect
693. C₂×#106	C₂×D₄₃	semidirect
704. C₄₃	#61263	semidirect
943. C₂×C₈	#10621898	semidirect

Maximal subgroups

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

subgroup	index
#19148347	2
#19148330	2
#19147136	2
#19147106	2
#19147076	2
#19147031	2
#19147004	2
#19146975	2
#19146970	2
#19146948	2
#19145127	2
#19144567	2
#19144556	2
#19144543	2
#19144535	2
#19144440	2
#19144429	2
#19144235	2
C₂×#14583128	2
#19143453	2
#19143289	2
#19143187	2
C₂×C₄₃×#427	2
#61263	43