Subgroups — #26005136

Order 11008.

11534 conjugacy classes of subgroups.

The subgroup lattice has 822 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583736	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂²×#41×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#19148274	C₂	1	8	yes	maximal, complemented
4	#19148263	C₂	1	8	yes	maximal, complemented
5	#19148253	C₂	1	1	yes	maximal, characteristic, complemented
6	#19148247	C₂	1	1	yes	maximal, characteristic, complemented
7	#19148243	C₂	1	1	yes	maximal, characteristic, complemented
8	#19148237	C₂	1	6	yes	maximal, complemented
9	#19148229	C₂	1	6	yes	maximal, complemented
10	#19148085	C₂	1	8	yes	maximal, complemented
11	#19148084	C₂	1	8	yes	maximal, complemented
12	#19147926	C₂	1	6	yes	maximal, complemented
13	#525×D₄₃	C₂	1	6	yes	maximal, complemented
14	#19147797	C₂	1	1	yes	maximal, characteristic, complemented
15	C₄₃×#3487	C₂	1	1	yes	maximal, characteristic, complemented
16	#14583736	—	2	16	no	—
17	C₂×#13063373	C₂²	1	1	yes	characteristic, complemented
18	C₂×#13063373	C₂²	1	4	yes	complemented
19	C₂×#13063371	C₂²	1	6	yes	complemented
20	C₂×#13063371	C₂²	1	4	yes	complemented
21	C₂²×#10621902	C₂²	1	1	yes	characteristic
22	C₂²×#10621902	C₂²	1	4	yes	complemented
23	C₂²×#10621898	C₂²	1	3	yes	complemented
24	C₂²×#10621900	C₂²	1	3	yes	complemented
25	C₂×#41×D₄₃	—	2	16	no	—
26	C₂×#41×D₄₃	C₂²	1	8	yes	complemented
27	C₂×#41×D₄₃	C₂²	1	8	yes	complemented
28	C₂×#41×D₄₃	C₂²	1	6	yes	complemented
29	C₂×#41×D₄₃	C₂²	1	4	yes	complemented
30	C₂²×Q₈×D₄₃	C₂²	1	1	yes	characteristic, complemented
31	C₂²×D₄×D₄₃	C₂²	1	3	yes	complemented
32	C₂³×C₄×D₄₃	C₂²	1	3	yes	complemented
33	#14583568	C₂²	1	8	yes	complemented
34	Q₈×D₁₇₂	C₂²	1	8	yes	complemented
35	Q₈×C₂²⋊D₄₃	C₂²	1	8	yes	complemented
36	#14583561	C₂²	1	8	yes	complemented
37	#14583556	C₂²	1	8	yes	complemented
38	#14583556	C₂²	1	8	yes	complemented
39	#14583554	C₂²	1	24	yes	complemented
40	#14583551	C₂²	1	24	yes	complemented
41	#14583546	C₂²	1	24	yes	complemented
42	#14583546	C₂²	1	24	yes	complemented
43	#14583545	C₂²	1	24	yes	complemented
44	#14583542	C₂²	1	24	yes	complemented
45	#14583534	C₂²	1	24	yes	complemented
46	#14583533	C₂²	1	24	yes	complemented
47	#14583478	C₂²	1	24	yes	complemented
48	#14583475	C₂²	1	6	yes	complemented
49	#14583470	C₂²	1	6	yes	complemented
50	#14583469	C₂²	1	12	yes	complemented
51	#14583466	C₂²	1	6	yes	complemented
52	#14583462	C₂²	1	12	yes	complemented
53	#14583459	C₂²	1	24	yes	complemented
54	#14583448	C₂²	1	12	yes	complemented
55	#14583447	C₂²	1	12	yes	complemented
56	#14583412	C₂²	1	12	yes	complemented
57	#14583411	C₂²	1	6	yes	complemented
58	#14583410	C₂²	1	6	yes	complemented
59	#14583409	C₂²	1	12	yes	complemented
60	#14583409	C₂²	1	24	yes	complemented
61	#14583408	C₂²	1	24	yes	complemented
62	#14583407	C₂²	1	4	yes	complemented
63	#14583406	C₂²	1	6	yes	complemented
64	#14583405	C₂²	1	12	yes	complemented
65	#123×D₄₃	C₂²	1	12	yes	complemented
66	C₂²⋊Q₈×D₄₃	C₂²	1	12	yes	complemented
67	#121×D₄₃	C₂²	1	12	yes	complemented
68	#120×D₄₃	C₂²	1	12	yes	complemented
69	#14583381	C₂²	1	8	yes	complemented
70	#14583377	C₂²	1	1	yes	characteristic, complemented
71	#14583373	C₂²	1	6	yes	complemented
72	C₄×#10621902	C₂²	1	8	yes	complemented
73	C₄×D₄×D₄₃	C₂²	1	24	yes	complemented
74	#117×D₄₃	C₂²	1	6	yes	complemented
75	C₂×2₋¹⁺⁴×C₄₃	C₂²	1	1	yes	characteristic, complemented
76	C₂²×#41×C₄₃	C₂²	1	1	yes	characteristic, complemented
77	C₄₃×#550	C₂²	1	8	yes	complemented
78	C₄₃×#548	C₂²	1	8	yes	complemented
79	C₄₃×#535	C₂²	1	6	yes	complemented
80	C₄₃×#525	C₂²	1	6	yes	complemented
81	C₄₃×#519	C₂²	1	1	yes	characteristic, complemented
82	C₂⁴×D₄₃	C₂³	1	3	yes	—
83	#13063373	—	2	8	no	—
84	#13063373	—	2	32	no	—
85	#13063371	—	2	32	no	—
86	#13063371	—	2	48	no	—
87	C₂×#10621902	—	2	32	no	—
88	C₂×#10621902	D₄	1	16	yes	complemented
89	C₂×#10621902	C₂³	1	4	yes	—
90	C₂×#10621902	C₂³	1	4	yes	—
91	C₂×#10621902	C₂³	1	4	yes	complemented
92	C₂×#10621902	C₂³	1	6	yes	complemented
93	C₂×#10621902	C₂³	1	12	yes	complemented
94	C₂×#10621898	—	2	24	no	—
95	C₂×#10621898	C₂³	1	24	yes	—
96	C₂×#10621898	C₂³	1	6	yes	—
97	C₂×#10621898	C₂³	1	12	yes	complemented
98	C₂×#10621898	C₂³	1	12	yes	complemented
99	C₂×#10621900	—	2	24	no	—
100	C₂×#10621900	C₂³	1	4	yes	—
101	C₂×#10621900	C₂³	1	12	yes	—
102	C₂×#10621900	C₂³	1	12	yes	—
103	C₂×#10621900	C₂³	1	6	yes	complemented
104	#41×D₄₃	—	2	64	no	—
105	#41×D₄₃	—	2	64	no	—
106	#41×D₄₃	—	2	32	no	—
107	#41×D₄₃	—	2	48	no	—
108	C₂²×Dic₈₆	C₂³	1	3	yes	—
109	C₂×Q₈×D₄₃	—	2	8	no	—
110	C₂×Q₈×D₄₃	C₂³	1	8	yes	—
111	C₂×Q₈×D₄₃	C₂³	1	4	yes	complemented
112	C₂×Q₈×D₄₃	C₂³	1	6	yes	complemented
113	C₂²×D₁₇₂	C₂³	1	3	yes	—
114	C₂²×D₁₇₂	C₂³	1	12	yes	complemented
115	C₂²×C₂²⋊D₄₃	C₂³	1	6	yes	—
116	C₂×D₄×D₄₃	—	2	24	no	—
117	C₂×D₄×D₄₃	C₂³	1	12	yes	—
118	C₂×D₄×D₄₃	C₂³	1	24	yes	—
119	C₂×D₄×D₄₃	C₂³	1	24	yes	—
120	C₂×D₄×D₄₃	C₂³	1	6	yes	complemented
121	C₂×D₄×D₄₃	C₂³	1	12	yes	complemented
122	C₂³×Dic₄₃	C₂³	1	3	yes	—
123	C₂²×C₄×D₄₃	—	2	24	no	—
124	C₂²×C₄×D₄₃	C₂³	1	12	yes	—
125	C₂²×C₄×D₄₃	C₂³	1	12	yes	—
126	C₂²×C₄×D₄₃	C₂³	1	3	yes	—
127	C₂²×C₄×D₄₃	C₂³	1	3	yes	—
128	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
129	C₂²×C₄×D₄₃	C₂³	1	3	yes	—
130	C₂²×C₄×D₄₃	C₂³	1	12	yes	complemented
131	#13063325	C₂³	1	12	yes	complemented
132	#13063323	C₂³	1	12	yes	complemented
133	#13063321	C₂³	1	12	yes	complemented
134	#13063313	C₂³	1	12	yes	complemented
135	#13063312	C₂³	1	12	yes	complemented
136	#13063312	C₂³	1	12	yes	complemented
137	#13063310	C₂³	1	24	yes	complemented
138	#13063309	C₂³	1	12	yes	—
139	#13063308	C₂³	1	4	yes	—
140	#13063307	C₂³	1	24	yes	complemented
141	#13063307	C₂³	1	48	yes	complemented
142	#13063306	C₂³	1	12	yes	—
143	#13063305	C₂³	1	12	yes	—
144	#13063305	C₂³	1	24	yes	complemented
145	#13063304	C₂³	1	12	yes	complemented
146	#13063304	C₂³	1	24	yes	complemented
147	#13063303	C₂³	1	8	yes	—
148	#13063302	C₂³	1	24	yes	complemented
149	#13063301	C₂³	1	12	yes	—
150	#13063300	C₂³	1	12	yes	—
151	#13063299	C₂³	1	12	yes	complemented
152	#13063298	C₂³	1	8	yes	—
153	#13063298	C₂³	1	48	yes	complemented
154	#13063297	C₂³	1	24	yes	complemented
155	#13063296	C₂³	1	12	yes	—
156	#13063296	C₂³	1	48	yes	complemented
157	#13063296	C₂³	1	24	yes	complemented
158	#13063295	C₂³	1	4	yes	—
159	#13063295	C₂³	1	24	yes	—
160	#13063294	C₂³	1	12	yes	—
161	#13063293	C₂³	1	4	yes	—
162	#13063293	C₂³	1	24	yes	—
163	#13063293	C₂³	1	48	yes	complemented
164	Q₈×Dic₄₃	C₂³	1	8	yes	complemented
165	C₄×D₁₇₂	C₂³	1	24	yes	—
166	C₄×D₁₇₂	C₂³	1	24	yes	complemented
167	D₄×Dic₄₃	C₂³	1	24	yes	complemented
168	#13063287	C₂³	1	8	yes	—
169	#13063287	C₂³	1	24	yes	complemented
170	C₄×C₂²⋊D₄₃	C₂³	1	24	yes	—
171	C₄×C₂²⋊D₄₃	C₂³	1	24	yes	complemented
172	(C₂²⋊D₄₃)⋊C₄	C₂³	1	8	yes	—
173	(C₂²⋊D₄₃)⋊C₄	C₂³	1	24	yes	complemented
174	#13063284	C₂³	1	6	yes	—
175	#13063283	C₂³	1	12	yes	complemented
176	#13063282	C₂³	1	12	yes	complemented
177	#13063281	C₂³	1	4	yes	—
178	C₄⋊C₄×D₄₃	C₂³	1	24	yes	complemented
179	C₄⋊C₄×D₄₃	C₂³	1	12	yes	complemented
180	C₂²⋊C₄×D₄₃	C₂³	1	12	yes	—
181	C₂²⋊C₄×D₄₃	C₂³	1	24	yes	—
182	C₂²⋊C₄×D₄₃	C₂³	1	24	yes	complemented
183	C₄²×D₄₃	C₂³	1	12	yes	complemented
184	2₋¹⁺⁴×C₄₃	—	2	8	no	—
185	C₂×#41×C₄₃	—	2	8	no	—
186	C₂×#41×C₄₃	C₂³	1	8	yes	—
187	C₂×#41×C₄₃	C₂³	1	6	yes	—
188	C₂×#41×C₄₃	C₂³	1	4	yes	complemented
189	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
190	C₂²×Q₈×C₄₃	C₂³	1	4	yes	complemented
191	C₂²×D₄×C₄₃	C₂³	1	3	yes	—
192	C₂³×C₄×C₄₃	C₂³	1	3	yes	—
193	#127×C₄₃	C₂³	1	12	yes	complemented
194	#124×C₄₃	C₂³	1	12	yes	complemented
195	#123×C₄₃	C₂³	1	4	yes	—
196	C₂²⋊Q₈×C₄₃	C₂³	1	12	yes	complemented
197	#121×C₄₃	C₂³	1	12	yes	complemented
198	#121×C₄₃	C₂³	1	24	yes	complemented
199	#120×C₄₃	C₂³	1	12	yes	—
200	C₄×Q₈×C₄₃	C₂³	1	8	yes	complemented
201	C₄×D₄×C₄₃	C₂³	1	24	yes	complemented
202	#117×C₄₃	C₂³	1	6	yes	—
203	C₂⁴×C₄₃	C₂⁴	1	3	yes	—
204	C₂³×D₄₃	—	2	12	no	—
205	C₂³×D₄₃	—	4	12	no	—
206	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
207	C₂³×D₄₃	C₂⁴	1	12	yes	—
208	C₂³×D₄₃	C₂⁴	1	12	yes	—
209	C₂³×D₄₃	C₂⁴	1	3	yes	—
210	#41×C₄₃	—	2	32	no	—
211	#41×C₄₃	—	2	16	no	—
212	#41×C₄₃	—	2	24	no	—
213	C₂×Q₈×C₄₃	—	2	16	no	—
214	C₂×Q₈×C₄₃	C₂×D₄	1	8	yes	complemented
215	C₂×Q₈×C₄₃	C₂⁴	1	6	yes	—
216	C₂×Q₈×C₄₃	C₂⁴	1	4	yes	—
217	C₂×D₄×C₄₃	—	2	12	no	—
218	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
219	C₂×D₄×C₄₃	C₂⁴	1	12	yes	—
220	C₂×D₄×C₄₃	C₂⁴	1	6	yes	—
221	C₂×D₄×C₄₃	C₂⁴	1	24	yes	—
222	C₂²×C₄×C₄₃	—	2	12	no	—
223	C₂²×C₄×C₄₃	C₂⁴	1	12	yes	—
224	C₂²×C₄×C₄₃	C₂⁴	1	12	yes	—
225	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
226	C₂²×C₄×C₄₃	C₂⁴	1	3	yes	—
227	C₂×C₂²⋊D₄₃	—	2	24	no	—
228	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
229	C₂×C₂²⋊D₄₃	C₂⁴	1	12	yes	—
230	C₂×C₂²⋊D₄₃	C₂⁴	1	24	yes	—
231	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
232	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
233	C₂×C₂²⋊D₄₃	C₂⁴	1	24	yes	—
234	C₂²×Dic₄₃	—	2	12	no	—
235	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
236	C₂²×Dic₄₃	C₂⁴	1	6	yes	—
237	C₂²×Dic₄₃	C₂⁴	1	6	yes	—
238	C₂²×Dic₄₃	C₂⁴	1	3	yes	—
239	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
240	#10621902	—	2	16	no	—
241	#10621902	—	2	48	no	—
242	#10621902	—	2	24	no	—
243	#10621902	C₂×D₄	1	32	yes	complemented
244	#10621902	C₂×D₄	1	32	yes	complemented
245	Q₈×D₄₃	—	2	32	no	—
246	Q₈×D₄₃	—	2	16	no	—
247	Q₈×D₄₃	—	2	24	no	—
248	#10621900	—	2	16	no	—
249	#10621900	—	2	24	no	—
250	#10621900	—	2	48	no	—
251	#10621900	—	2	48	no	—
252	D₄×D₄₃	—	2	96	no	—
253	D₄×D₄₃	—	2	48	no	—
254	D₄×D₄₃	—	2	24	no	—
255	D₄×D₄₃	—	2	48	no	—
256	D₄×D₄₃	—	4	48	no	—
257	#10621898	—	2	24	no	—
258	#10621898	—	2	96	no	—
259	#10621898	—	2	48	no	—
260	#10621898	—	2	48	no	—
261	C₂×D₁₇₂	—	2	48	no	—
262	C₂×D₁₇₂	C₂×D₄	1	24	yes	complemented
263	C₂×D₁₇₂	C₂⁴	1	8	yes	—
264	C₂×D₁₇₂	C₂⁴	1	12	yes	—
265	C₂×D₁₇₂	C₂⁴	1	6	yes	—
266	C₂×D₁₇₂	C₂⁴	1	12	yes	—
267	C₂×C₄×D₄₃	—	2	12	no	—
268	C₂×C₄×D₄₃	—	2	4	no	—
269	C₂×C₄×D₄₃	—	2	48	no	—
270	C₂×C₄×D₄₃	—	2	48	no	—
271	C₂×C₄×D₄₃	—	2	48	no	—
272	C₂×C₄×D₄₃	—	2	12	no	—
273	C₂×C₄×D₄₃	C₂×D₄	1	24	yes	complemented
274	C₂×C₄×D₄₃	C₂⁴	1	12	yes	—
275	C₂×C₄×D₄₃	C₂⁴	1	12	yes	—
276	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
277	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
278	C₂×C₄×D₄₃	C₂⁴	1	12	yes	—
279	C₂×C₄×D₄₃	C₂⁴	1	12	yes	—
280	C₂×C₄×D₄₃	C₂⁴	1	2	yes	—
281	C₂×C₄×D₄₃	C₂⁴	1	24	yes	—
282	C₂×C₄×D₄₃	C₂⁴	1	6	yes	—
283	C₂×C₄×D₄₃	C₂⁴	1	6	yes	—
284	C₂×Dic₈₆	—	2	12	no	—
285	C₂×Dic₈₆	C₂⁴	1	4	yes	—
286	C₂×Dic₈₆	C₂⁴	1	6	yes	—
287	C₂×Dic₈₆	C₂⁴	1	12	yes	—
288	C₄⋊C₄×C₄₃	C₂⁴	1	12	yes	—
289	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
290	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
291	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
292	C₂²⋊C₄×C₄₃	C₂⁴	1	24	yes	—
293	C₄²×C₄₃	C₂⁴	1	12	yes	—
294	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
295	C₂²⋊Dic₄₃	C₂⁴	1	24	yes	—
296	C₂²⋊Dic₄₃	C₂⁴	1	24	yes	—
297	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
298	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
299	(C₂×D₄₃)⋊C₄	C₂⁴	1	24	yes	—
300	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
301	(C₂×D₄₃)⋊C₄	C₂⁴	1	24	yes	—
302	C₄⋊Dic₄₃	C₂⁴	1	12	yes	—
303	C₄⋊Dic₄₃	C₂⁴	1	24	yes	—
304	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
305	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
306	Dic₄₃⋊C₄	C₂⁴	1	24	yes	—
307	C₄×Dic₄₃	C₂⁴	1	8	yes	—
308	C₄×Dic₄₃	C₂⁴	1	12	yes	—
309	C₂³×C₄₃	—	2	6	no	—
310	C₂³×C₄₃	—	4	6	no	—
311	C₂³×C₄₃	C₂⁵	1	4	yes	—
312	C₂³×C₄₃	C₂⁵	1	6	yes	—
313	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
314	C₂²×D₄₃	—	2	2	no	—
315	C₂²×D₄₃	—	2	4	no	—
316	C₂²×D₄₃	—	2	24	no	—
317	C₂²×D₄₃	—	2	24	no	—
318	C₂²×D₄₃	—	2	24	no	—
319	C₂²×D₄₃	—	4	12	no	—
320	C₂²×D₄₃	—	4	6	no	—
321	C₂²×D₄₃	—	4	24	no	—
322	C₂²×D₄₃	—	4	48	no	—
323	C₂²×D₄₃	C₂²×D₄	1	12	yes	—
324	C₂²×D₄₃	C₂⁵	1	4	yes	—
325	C₂²×D₄₃	C₂⁵	1	6	yes	—
326	C₂²×D₄₃	C₂⁵	1	2	yes	—
327	Q₈×C₄₃	—	2	12	no	—
328	Q₈×C₄₃	C₂²×D₄	1	16	yes	—
329	D₄×C₄₃	—	2	8	no	—
330	D₄×C₄₃	—	2	12	no	—
331	D₄×C₄₃	—	2	24	no	—
332	D₄×C₄₃	—	4	24	no	—
333	C₂×C₄×C₄₃	—	2	2	no	—
334	C₂×C₄×C₄₃	—	2	24	no	—
335	C₂×C₄×C₄₃	—	2	24	no	—
336	C₂×C₄×C₄₃	C₂²×D₄	1	12	yes	—
337	C₂×C₄×C₄₃	C₂⁵	1	8	yes	—
338	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
339	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
340	C₂×C₄×C₄₃	C₂⁵	1	6	yes	—
341	C₂²⋊D₄₃	—	2	8	no	—
342	C₂²⋊D₄₃	—	2	24	no	—
343	C₂²⋊D₄₃	—	2	48	no	—
344	C₂²⋊D₄₃	—	2	16	no	—
345	C₂²⋊D₄₃	—	2	8	no	—
346	C₂²⋊D₄₃	—	4	24	no	—
347	C₂×Dic₄₃	—	2	6	no	—
348	C₂×Dic₄₃	—	2	8	no	—
349	C₂×Dic₄₃	—	2	12	no	—
350	C₂×Dic₄₃	—	2	12	no	—
351	C₂×Dic₄₃	C₂²×D₄	1	4	yes	—
352	C₂×Dic₄₃	C₂⁵	1	8	yes	—
353	C₂×Dic₄₃	C₂⁵	1	6	yes	—
354	C₂×Dic₄₃	C₂⁵	1	4	yes	—
355	C₂×Dic₄₃	C₂⁵	1	1	yes	characteristic
356	C₂×Dic₄₃	C₂⁵	1	1	yes	characteristic
357	D₁₇₂	—	2	24	no	—
358	D₁₇₂	—	2	16	no	—
359	D₁₇₂	—	2	12	no	—
360	D₁₇₂	C₂²×D₄	1	48	yes	—
361	C₄×D₄₃	—	2	24	no	—
362	C₄×D₄₃	—	2	24	no	—
363	C₄×D₄₃	—	2	24	no	—
364	C₄×D₄₃	—	2	24	no	—
365	C₄×D₄₃	—	2	4	no	—
366	C₄×D₄₃	—	2	4	no	—
367	C₄×D₄₃	—	2	8	no	—
368	C₄×D₄₃	—	4	24	no	—
369	C₄×D₄₃	C₂²×D₄	1	24	yes	—
370	C₄×D₄₃	C₂²×D₄	1	24	yes	—
371	Dic₈₆	—	2	24	no	—
372	Dic₈₆	—	2	12	no	—
373	Dic₈₆	—	2	8	no	—
374	#62811	—	43	1	no	maximal, Sylow
375	C₂²×C₄₃	—	2	2	no	—
376	C₂²×C₄₃	—	2	4	no	—
377	C₂²×C₄₃	—	2	6	no	—
378	C₂²×C₄₃	—	2	12	no	—
379	C₂²×C₄₃	—	2	8	no	—
380	C₂²×C₄₃	—	4	12	no	—
381	C₂²×C₄₃	C₂³×D₄	1	2	yes	—
382	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
383	C₂×D₄₃	—	2	8	no	—
384	C₂×D₄₃	—	2	2	no	—
385	C₂×D₄₃	—	2	2	no	—
386	C₂×D₄₃	—	2	12	no	—
387	C₂×D₄₃	—	2	4	no	—
388	C₂×D₄₃	—	2	8	no	—
389	C₂×D₄₃	—	4	12	no	—
390	C₂×D₄₃	—	4	48	no	—
391	C₂×D₄₃	—	8	24	no	—
392	C₂×D₄₃	C₂³×D₄	1	12	yes	—
393	C₂×D₄₃	#585	1	4	yes	complemented
394	C₄×C₄₃	—	2	4	no	—
395	C₄×C₄₃	—	2	2	no	—
396	C₄×C₄₃	—	2	8	no	—
397	C₄×C₄₃	C₂³×D₄	1	12	yes	—
398	Dic₄₃	—	2	4	no	—
399	Dic₄₃	—	2	6	no	—
400	Dic₄₃	—	2	8	no	—
401	Dic₄₃	C₂³×D₄	1	2	yes	—
402	Dic₄₃	C₂³×D₄	1	2	yes	—
403	C₂×#585	—	43	1	no	—
404	C₂³×#41	—	43	1	no	—
405	#3489	—	43	8	no	—
406	#3488	—	43	8	no	—
407	#3487	—	43	1	no	—
408	#3487	D₄₃	1	1	yes	characteristic, complemented
409	#3486	—	43	1	no	—
410	#3486	—	43	1	no	—
411	#3485	—	43	6	no	—
412	#3484	—	43	6	no	—
413	D₄×#41	—	43	8	no	—
414	D₄×#41	—	43	8	no	—
415	#3449	—	43	6	no	—
416	C₂×#525	—	43	6	no	—
417	#3428	—	43	1	no	—
418	C₂×C₄₃	—	2	2	no	—
419	C₂×C₄₃	—	4	6	no	—
420	C₂×C₄₃	—	4	4	no	—
421	C₂×C₄₃	C₂⁴×D₄	1	1	yes	characteristic
422	C₂×C₄₃	C₂×#585	1	2	yes	—
423	D₄₃	—	2	4	no	—
424	D₄₃	—	2	12	no	—
425	D₄₃	—	4	4	no	—
426	#585	—	86	16	no	—
427	C₂×2₋¹⁺⁴	—	43	1	no	—
428	C₂×2₋¹⁺⁴	—	43	4	no	—
429	C₂×2₋¹⁺⁴	C₂×D₄₃	1	1	yes	characteristic, complemented
430	C₂×H(5,𝔽₂)	—	43	6	no	—
431	C₂×H(5,𝔽₂)	—	43	4	no	—
432	C₂²×#41	—	43	8	no	—
433	C₂²×#41	—	43	8	no	—
434	C₂²×#41	—	43	6	no	—
435	C₂²×#41	—	43	4	no	—
436	C₂²×#41	—	43	1	no	—
437	C₂²×#41	—	43	4	no	—
438	C₂²×#41	—	43	3	no	—
439	C₂²×#41	—	43	3	no	—
440	C₂²×#41	—	86	16	no	—
441	C₂²×#41	C₂×D₄₃	1	1	yes	characteristic, complemented
442	C₂³×Q₈	—	43	1	no	—
443	C₂³×D₄	—	43	3	no	—
444	C₂⁴×C₄	—	43	3	no	—
445	#550	—	43	8	no	—
446	#550	C₂×D₄₃	1	8	yes	complemented
447	D₄×Q₈	—	43	8	no	—
448	D₄×Q₈	—	43	8	no	—
449	#548	—	43	8	no	—
450	#548	—	43	8	no	—
451	#548	—	43	8	no	—
452	#548	C₂×D₄₃	1	8	yes	complemented
453	#547	—	43	24	no	—
454	#547	—	43	24	no	—
455	#546	—	43	24	no	—
456	#546	—	43	24	no	—
457	#546	—	43	24	no	—
458	#546	—	43	24	no	—
459	D₄²	—	43	24	no	—
460	D₄²	—	43	24	no	—
461	#537	—	43	24	no	—
462	#536	—	43	6	no	—
463	#536	—	43	12	no	—
464	#536	—	43	6	no	—
465	#535	—	43	6	no	—
466	#535	—	43	12	no	—
467	#535	C₂×D₄₃	1	6	yes	complemented
468	#534	—	43	24	no	—
469	#532	—	43	12	no	—
470	#532	—	43	12	no	—
471	#525	—	43	6	no	—
472	#525	—	43	6	no	—
473	#525	—	43	4	no	—
474	#525	—	43	12	no	—
475	#525	—	43	12	no	—
476	#525	—	43	24	no	—
477	#525	—	43	12	no	—
478	#525	—	43	24	no	—
479	#525	—	43	6	no	—
480	#525	C₂×D₄₃	1	6	yes	complemented
481	C₂×#123	—	43	12	no	—
482	C₂×C₂²⋊Q₈	—	43	12	no	—
483	C₂×#121	—	43	12	no	—
484	C₂×#120	—	43	12	no	—
485	#520	—	43	8	no	—
486	#519	—	43	1	no	—
487	#519	C₂×D₄₃	1	1	yes	characteristic, complemented
488	#518	—	43	6	no	—
489	C₄×#41	—	43	8	no	—
490	C₂×C₄×D₄	—	43	24	no	—
491	C₂×#117	—	43	6	no	—
492	C₄₃	#62811	1	1	yes	characteristic, complemented, Sylow
493	C₂⁵	—	43	3	no	—
494	2₋¹⁺⁴	—	2	8	no	—
495	2₋¹⁺⁴	—	86	32	no	—
496	2₋¹⁺⁴	—	86	8	no	—
497	H(5,𝔽₂)	—	86	48	no	—
498	H(5,𝔽₂)	—	86	32	no	—
499	C₂×#41	—	2	8	no	—
500	C₂×#41	—	43	16	no	—
501	C₂×#41	—	43	4	no	—
502	C₂×#41	—	43	4	no	—
503	C₂×#41	—	43	6	no	—
504	C₂×#41	—	43	12	no	—
505	C₂×#41	—	43	4	no	—
506	C₂×#41	—	43	4	no	—
507	C₂×#41	—	43	12	no	—
508	C₂×#41	—	43	6	no	—
509	C₂×#41	—	43	12	no	—
510	C₂×#41	—	43	6	no	—
511	C₂×#41	—	43	12	no	—
512	C₂×#41	—	43	24	no	—
513	C₂×#41	—	43	12	no	—
514	C₂×#41	—	86	24	no	—
515	C₂×#41	—	86	24	no	—
516	C₂×#41	—	86	48	no	—
517	C₂×#41	—	86	32	no	—
518	C₂×#41	—	86	64	no	—
519	C₂×#41	—	86	64	no	—
520	C₂×#41	—	86	32	no	—
521	C₂×#41	C₂²×D₄₃	1	6	yes	—
522	C₂×#41	C₂²×D₄₃	1	8	yes	—
523	C₂×#41	C₂²×D₄₃	1	4	yes	complemented
524	C₂²×Q₈	—	43	6	no	—
525	C₂²×Q₈	—	43	8	no	—
526	C₂²×Q₈	—	43	4	no	—
527	C₂²×Q₈	—	43	3	no	—
528	C₂²×Q₈	—	86	8	no	—
529	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
530	C₂²×Q₈	C₂²×D₄₃	1	4	yes	complemented
531	C₂²×D₄	—	43	6	no	—
532	C₂²×D₄	—	43	12	no	—
533	C₂²×D₄	—	43	6	no	—
534	C₂²×D₄	—	43	24	no	—
535	C₂²×D₄	—	43	12	no	—
536	C₂²×D₄	—	43	24	no	—
537	C₂²×D₄	—	43	3	no	—
538	C₂²×D₄	—	43	12	no	—
539	C₂²×D₄	—	86	24	no	—
540	C₂²×D₄	C₂²×D₄₃	1	3	yes	—
541	C₂³×C₄	—	43	3	no	—
542	C₂³×C₄	—	43	3	no	—
543	C₂³×C₄	—	43	12	no	—
544	C₂³×C₄	—	43	12	no	—
545	C₂³×C₄	—	43	12	no	—
546	C₂³×C₄	—	43	3	no	—
547	C₂³×C₄	—	43	1	no	—
548	C₂³×C₄	—	43	3	no	—
549	C₂³×C₄	—	86	24	no	—
550	C₂³×C₄	C₂²×D₄₃	1	3	yes	—
551	C₄⋊Q₈	—	43	12	no	—
552	C₄⋊Q₈	—	43	12	no	—
553	#127	—	43	12	no	—
554	#127	C₂²×D₄₃	1	12	yes	complemented
555	#124	—	43	12	no	—
556	#124	—	43	12	no	—
557	#124	—	43	12	no	—
558	#124	C₂²×D₄₃	1	12	yes	complemented
559	#123	—	43	12	no	—
560	#123	—	43	4	no	—
561	#123	—	43	24	no	—
562	#123	—	43	12	no	—
563	#123	—	43	24	no	—
564	#123	—	43	48	no	—
565	#123	C₂²×D₄₃	1	4	yes	—
566	C₂²⋊Q₈	—	43	12	no	—
567	C₂²⋊Q₈	—	43	12	no	—
568	C₂²⋊Q₈	—	43	24	no	—
569	C₂²⋊Q₈	—	43	8	no	—
570	C₂²⋊Q₈	—	43	12	no	—
571	C₂²⋊Q₈	—	43	24	no	—
572	C₂²⋊Q₈	—	43	24	no	—
573	C₂²⋊Q₈	C₂²×D₄₃	1	12	yes	complemented
574	#121	—	43	24	no	—
575	#121	—	43	12	no	—
576	#121	—	43	24	no	—
577	#121	—	43	48	no	—
578	#121	—	43	12	no	—
579	#121	—	43	12	no	—
580	#121	—	43	8	no	—
581	#121	—	43	48	no	—
582	#121	C₂²×D₄₃	1	12	yes	complemented
583	#121	C₂²×D₄₃	1	24	yes	complemented
584	#120	—	43	12	no	—
585	#120	—	43	4	no	—
586	#120	—	43	24	no	—
587	#120	—	43	48	no	—
588	#120	—	43	4	no	—
589	#120	—	43	24	no	—
590	#120	C₂²×D₄₃	1	12	yes	—
591	C₄×Q₈	—	43	8	no	—
592	C₄×Q₈	C₂²×D₄₃	1	8	yes	complemented
593	C₄×D₄	—	43	24	no	—
594	C₄×D₄	—	43	24	no	—
595	C₄×D₄	—	43	24	no	—
596	C₄×D₄	—	43	8	no	—
597	C₄×D₄	—	43	24	no	—
598	C₄×D₄	—	43	8	no	—
599	C₄×D₄	—	43	24	no	—
600	C₄×D₄	—	43	24	no	—
601	C₄×D₄	—	43	24	no	—
602	C₄×D₄	C₂²×D₄₃	1	24	yes	complemented
603	#117	—	43	6	no	—
604	#117	—	43	12	no	—
605	#117	—	43	4	no	—
606	#117	—	43	12	no	—
607	#117	C₂²×D₄₃	1	6	yes	—
608	C₂×C₄⋊C₄	—	43	12	no	—
609	C₂×C₄⋊C₄	—	43	24	no	—
610	C₂×C₂²⋊C₄	—	43	12	no	—
611	C₂×C₂²⋊C₄	—	43	24	no	—
612	C₂×C₂²⋊C₄	—	43	24	no	—
613	C₂×C₄²	—	43	12	no	—
614	C₂⁴	—	43	3	no	—
615	C₂⁴	—	43	1	no	—
616	C₂⁴	—	43	12	no	—
617	C₂⁴	—	43	12	no	—
618	C₂⁴	—	86	12	no	—
619	C₂⁴	—	172	12	no	—
620	C₂⁴	C₂³×D₄₃	1	3	yes	—
621	#41	—	2	32	no	—
622	#41	—	2	16	no	—
623	#41	—	2	24	no	—
624	#41	—	43	32	no	—
625	#41	—	43	32	no	—
626	#41	—	86	48	no	—
627	#41	—	86	96	no	—
628	#41	—	86	48	no	—
629	#41	—	86	16	no	—
630	#41	—	86	48	no	—
631	#41	—	86	24	no	—
632	#41	—	86	48	no	—
633	#41	—	86	24	no	—
634	#41	—	86	48	no	—
635	#41	—	86	16	no	—
636	#41	—	86	24	no	—
637	C₂×Q₈	—	2	16	no	—
638	C₂×Q₈	—	43	4	no	—
639	C₂×Q₈	—	43	6	no	—
640	C₂×Q₈	—	43	12	no	—
641	C₂×Q₈	—	86	24	no	—
642	C₂×Q₈	—	86	32	no	—
643	C₂×Q₈	—	86	16	no	—
644	C₂×Q₈	—	86	12	no	—
645	C₂×Q₈	D₄×D₄₃	1	8	yes	complemented
646	C₂×Q₈	C₂³×D₄₃	1	6	yes	—
647	C₂×Q₈	C₂³×D₄₃	1	4	yes	—
648	C₂×D₄	—	2	12	no	—
649	C₂×D₄	—	43	8	no	—
650	C₂×D₄	—	43	4	no	—
651	C₂×D₄	—	43	12	no	—
652	C₂×D₄	—	43	24	no	—
653	C₂×D₄	—	43	4	no	—
654	C₂×D₄	—	43	24	no	—
655	C₂×D₄	—	43	24	no	—
656	C₂×D₄	—	43	12	no	—
657	C₂×D₄	—	43	8	no	—
658	C₂×D₄	—	43	12	no	—
659	C₂×D₄	—	43	6	no	—
660	C₂×D₄	—	86	48	no	—
661	C₂×D₄	—	86	24	no	—
662	C₂×D₄	—	86	96	no	—
663	C₂×D₄	—	86	48	no	—
664	C₂×D₄	—	86	48	no	—
665	C₂×D₄	—	86	24	no	—
666	C₂×D₄	—	172	48	no	—
667	C₂×D₄	C₂³×D₄₃	1	4	yes	—
668	C₂×D₄	C₂³×D₄₃	1	6	yes	—
669	C₂×D₄	C₂³×D₄₃	1	12	yes	—
670	C₂×D₄	C₂³×D₄₃	1	24	yes	—
671	C₂²×C₄	—	2	12	no	—
672	C₂²×C₄	—	43	1	no	—
673	C₂²×C₄	—	43	24	no	—
674	C₂²×C₄	—	43	6	no	—
675	C₂²×C₄	—	43	6	no	—
676	C₂²×C₄	—	43	4	no	—
677	C₂²×C₄	—	43	6	no	—
678	C₂²×C₄	—	43	6	no	—
679	C₂²×C₄	—	43	3	no	—
680	C₂²×C₄	—	43	12	no	—
681	C₂²×C₄	—	43	12	no	—
682	C₂²×C₄	—	43	2	no	—
683	C₂²×C₄	—	43	4	no	—
684	C₂²×C₄	—	43	12	no	—
685	C₂²×C₄	—	43	12	no	—
686	C₂²×C₄	—	43	2	no	—
687	C₂²×C₄	—	43	24	no	—
688	C₂²×C₄	—	86	4	no	—
689	C₂²×C₄	—	86	48	no	—
690	C₂²×C₄	—	86	48	no	—
691	C₂²×C₄	—	86	48	no	—
692	C₂²×C₄	—	86	12	no	—
693	C₂²×C₄	—	86	12	no	—
694	C₂²×C₄	—	86	12	no	—
695	C₂²×C₄	C₂³×D₄₃	1	12	yes	—
696	C₂²×C₄	C₂³×D₄₃	1	12	yes	—
697	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
698	C₂²×C₄	C₂³×D₄₃	1	3	yes	—
699	C₄⋊C₄	—	43	8	no	—
700	C₄⋊C₄	—	43	8	no	—
701	C₄⋊C₄	—	43	12	no	—
702	C₄⋊C₄	—	43	24	no	—
703	C₄⋊C₄	—	43	24	no	—
704	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
705	C₄⋊C₄	C₂³×D₄₃	1	12	yes	—
706	C₂²⋊C₄	—	43	4	no	—
707	C₂²⋊C₄	—	43	24	no	—
708	C₂²⋊C₄	—	43	24	no	—
709	C₂²⋊C₄	—	43	8	no	—
710	C₂²⋊C₄	—	43	8	no	—
711	C₂²⋊C₄	—	43	8	no	—
712	C₂²⋊C₄	—	43	24	no	—
713	C₂²⋊C₄	—	43	24	no	—
714	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
715	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
716	C₂²⋊C₄	C₂³×D₄₃	1	24	yes	—
717	C₄²	—	43	8	no	—
718	C₄²	—	43	12	no	—
719	C₄²	C₂³×D₄₃	1	12	yes	—
720	C₂³	—	2	6	no	—
721	C₂³	—	4	6	no	—
722	C₂³	—	43	2	no	—
723	C₂³	—	43	6	no	—
724	C₂³	—	43	12	no	—
725	C₂³	—	43	4	no	—
726	C₂³	—	86	4	no	—
727	C₂³	—	86	24	no	—
728	C₂³	—	86	24	no	—
729	C₂³	—	86	24	no	—
730	C₂³	—	86	2	no	—
731	C₂³	—	172	24	no	—
732	C₂³	—	172	6	no	—
733	C₂³	—	172	12	no	—
734	C₂³	—	172	48	no	—
735	C₂³	C₂⁴×D₄₃	1	4	yes	—
736	C₂³	C₂⁴×D₄₃	1	6	yes	—
737	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
738	Q₈	—	2	12	no	—
739	Q₈	—	86	8	no	—
740	Q₈	—	86	12	no	—
741	Q₈	—	86	24	no	—
742	Q₈	C₂×D₄×D₄₃	1	16	yes	—
743	D₄	—	2	8	no	—
744	D₄	—	2	24	no	—
745	D₄	—	2	12	no	—
746	D₄	—	4	24	no	—
747	D₄	—	43	48	no	—
748	D₄	—	86	24	no	—
749	D₄	—	86	16	no	—
750	D₄	—	86	8	no	—
751	D₄	—	86	24	no	—
752	D₄	—	86	48	no	—
753	D₄	—	86	16	no	—
754	D₄	—	86	8	no	—
755	D₄	—	86	12	no	—
756	D₄	—	172	24	no	—
757	C₂×C₄	—	2	2	no	—
758	C₂×C₄	—	2	24	no	—
759	C₂×C₄	—	2	24	no	—
760	C₂×C₄	—	43	4	no	—
761	C₂×C₄	—	43	1	no	—
762	C₂×C₄	—	43	1	no	—
763	C₂×C₄	—	43	24	no	—
764	C₂×C₄	—	43	24	no	—
765	C₂×C₄	—	43	8	no	—
766	C₂×C₄	—	43	4	no	—
767	C₂×C₄	—	43	6	no	—
768	C₂×C₄	—	86	4	no	—
769	C₂×C₄	—	86	4	no	—
770	C₂×C₄	—	86	8	no	—
771	C₂×C₄	—	86	24	no	—
772	C₂×C₄	—	86	24	no	—
773	C₂×C₄	—	86	8	no	—
774	C₂×C₄	—	86	12	no	—
775	C₂×C₄	—	86	12	no	—
776	C₂×C₄	—	86	6	no	—
777	C₂×C₄	—	86	24	no	—
778	C₂×C₄	—	86	24	no	—
779	C₂×C₄	—	172	24	no	—
780	C₂×C₄	C₂×D₄×D₄₃	1	12	yes	—
781	C₂×C₄	C₂⁴×D₄₃	1	8	yes	—
782	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
783	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
784	C₂×C₄	C₂⁴×D₄₃	1	6	yes	—
785	C₂²	—	2	2	no	—
786	C₂²	—	2	4	no	—
787	C₂²	—	2	6	no	—
788	C₂²	—	2	8	no	—
789	C₂²	—	2	12	no	—
790	C₂²	—	4	12	no	—
791	C₂²	—	43	12	no	—
792	C₂²	—	43	4	no	—
793	C₂²	—	86	8	no	—
794	C₂²	—	86	2	no	—
795	C₂²	—	86	12	no	—
796	C₂²	—	86	2	no	—
797	C₂²	—	86	4	no	—
798	C₂²	—	86	8	no	—
799	C₂²	—	344	24	no	—
800	C₂²	—	172	12	no	—
801	C₂²	—	172	48	no	—
802	C₂²	C₂²×D₄×D₄₃	1	2	yes	—
803	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
804	C₄	—	2	2	no	—
805	C₄	—	2	4	no	—
806	C₄	—	2	8	no	—
807	C₄	—	43	2	no	—
808	C₄	—	43	2	no	—
809	C₄	—	86	6	no	—
810	C₄	—	86	4	no	—
811	C₄	—	86	8	no	—
812	C₄	C₂²×D₄×D₄₃	1	12	yes	—
813	C₂	—	2	2	no	—
814	C₂	—	4	6	no	—
815	C₂	—	4	4	no	—
816	C₂	—	86	4	no	—
817	C₂	—	86	12	no	—
818	C₂	—	172	4	no	—
819	C₂	C₂³×D₄×D₄₃	1	1	yes	characteristic
820	C₂	#585×D₄₃	1	2	yes	—

	subgroup	G/H
center, Frattini	C₂²	C₂⁵×D₄₃
commutator, socle, cosocle	C₂²×C₄₃	C₂⁶
Fitting	C₄₃×#3487	C₂
hypercenter	#3487	D₄₃
hypocenter	C₄₃	#62811
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂² ◁ #3487

Complements

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

N	H ≅ G/N	type
1. C₂×#14583736	C₂	semidirect
2. C₂²×#41×D₄₃	C₂	semidirect
3. #19148274	C₂	semidirect
4. #19148263	C₂	semidirect
5. #19148253	C₂	semidirect
6. #19148247	C₂	semidirect
7. #19148243	C₂	semidirect
8. #19148237	C₂	semidirect
9. #19148229	C₂	semidirect
10. #19148085	C₂	semidirect
11. #19148084	C₂	semidirect
12. #19147926	C₂	semidirect
13. #525×D₄₃	C₂	semidirect
14. #19147797	C₂	semidirect
15. C₄₃×#3487	C₂	semidirect
17. C₂×#13063373	C₂²	semidirect
18. C₂×#13063373	C₂²	semidirect
19. C₂×#13063371	C₂²	semidirect
20. C₂×#13063371	C₂²	semidirect
22. C₂²×#10621902	C₂²	semidirect
23. C₂²×#10621898	C₂²	semidirect
24. C₂²×#10621900	C₂²	semidirect
26. C₂×#41×D₄₃	C₂²	semidirect
27. C₂×#41×D₄₃	C₂²	semidirect
28. C₂×#41×D₄₃	C₂²	semidirect
29. C₂×#41×D₄₃	C₂²	semidirect
30. C₂²×Q₈×D₄₃	C₂²	semidirect
31. C₂²×D₄×D₄₃	C₂²	semidirect
32. C₂³×C₄×D₄₃	C₂²	semidirect
33. #14583568	C₂²	semidirect
34. Q₈×D₁₇₂	C₂²	semidirect
35. Q₈×C₂²⋊D₄₃	C₂²	semidirect
36. #14583561	C₂²	semidirect
37. #14583556	C₂²	semidirect
38. #14583556	C₂²	semidirect
39. #14583554	C₂²	semidirect
40. #14583551	C₂²	semidirect
41. #14583546	C₂²	semidirect
42. #14583546	C₂²	semidirect
43. #14583545	C₂²	semidirect
44. #14583542	C₂²	semidirect
45. #14583534	C₂²	semidirect
46. #14583533	C₂²	semidirect
47. #14583478	C₂²	semidirect
48. #14583475	C₂²	semidirect
49. #14583470	C₂²	semidirect
50. #14583469	C₂²	semidirect
51. #14583466	C₂²	semidirect
52. #14583462	C₂²	semidirect
53. #14583459	C₂²	semidirect
54. #14583448	C₂²	semidirect
55. #14583447	C₂²	semidirect
56. #14583412	C₂²	semidirect
57. #14583411	C₂²	semidirect
58. #14583410	C₂²	semidirect
59. #14583409	C₂²	semidirect
60. #14583409	C₂²	semidirect
61. #14583408	C₂²	semidirect
62. #14583407	C₂²	semidirect
63. #14583406	C₂²	semidirect
64. #14583405	C₂²	semidirect
65. #123×D₄₃	C₂²	semidirect
66. C₂²⋊Q₈×D₄₃	C₂²	semidirect
67. #121×D₄₃	C₂²	semidirect
68. #120×D₄₃	C₂²	semidirect
69. #14583381	C₂²	semidirect
70. #14583377	C₂²	semidirect
71. #14583373	C₂²	semidirect
72. C₄×#10621902	C₂²	semidirect
73. C₄×D₄×D₄₃	C₂²	semidirect
74. #117×D₄₃	C₂²	semidirect
75. C₂×2₋¹⁺⁴×C₄₃	C₂²	semidirect
76. C₂²×#41×C₄₃	C₂²	semidirect
77. C₄₃×#550	C₂²	semidirect
78. C₄₃×#548	C₂²	semidirect
79. C₄₃×#535	C₂²	semidirect
80. C₄₃×#525	C₂²	semidirect
81. C₄₃×#519	C₂²	semidirect
88. C₂×#10621902	D₄	semidirect
91. C₂×#10621902	C₂³	semidirect
92. C₂×#10621902	C₂³	semidirect
93. C₂×#10621902	C₂³	semidirect
97. C₂×#10621898	C₂³	semidirect
98. C₂×#10621898	C₂³	semidirect
103. C₂×#10621900	C₂³	semidirect
111. C₂×Q₈×D₄₃	C₂³	semidirect
112. C₂×Q₈×D₄₃	C₂³	semidirect
114. C₂²×D₁₇₂	C₂³	semidirect
120. C₂×D₄×D₄₃	C₂³	semidirect
121. C₂×D₄×D₄₃	C₂³	semidirect
130. C₂²×C₄×D₄₃	C₂³	semidirect
131. #13063325	C₂³	semidirect
132. #13063323	C₂³	semidirect
133. #13063321	C₂³	semidirect
134. #13063313	C₂³	semidirect
135. #13063312	C₂³	semidirect
136. #13063312	C₂³	semidirect
137. #13063310	C₂³	semidirect
140. #13063307	C₂³	semidirect
141. #13063307	C₂³	semidirect
144. #13063305	C₂³	semidirect
145. #13063304	C₂³	semidirect
146. #13063304	C₂³	semidirect
148. #13063302	C₂³	semidirect
151. #13063299	C₂³	semidirect
153. #13063298	C₂³	semidirect
154. #13063297	C₂³	semidirect
156. #13063296	C₂³	semidirect
157. #13063296	C₂³	semidirect
163. #13063293	C₂³	semidirect
164. Q₈×Dic₄₃	C₂³	semidirect
166. C₄×D₁₇₂	C₂³	semidirect
167. D₄×Dic₄₃	C₂³	semidirect
169. #13063287	C₂³	semidirect
171. C₄×C₂²⋊D₄₃	C₂³	semidirect
173. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
175. #13063283	C₂³	semidirect
176. #13063282	C₂³	semidirect
178. C₄⋊C₄×D₄₃	C₂³	semidirect
179. C₄⋊C₄×D₄₃	C₂³	semidirect
182. C₂²⋊C₄×D₄₃	C₂³	semidirect
183. C₄²×D₄₃	C₂³	semidirect
188. C₂×#41×C₄₃	C₂³	semidirect
190. C₂²×Q₈×C₄₃	C₂³	semidirect
193. #127×C₄₃	C₂³	semidirect
194. #124×C₄₃	C₂³	semidirect
196. C₂²⋊Q₈×C₄₃	C₂³	semidirect
197. #121×C₄₃	C₂³	semidirect
198. #121×C₄₃	C₂³	semidirect
200. C₄×Q₈×C₄₃	C₂³	semidirect
201. C₄×D₄×C₄₃	C₂³	semidirect
214. C₂×Q₈×C₄₃	C₂×D₄	semidirect
243. #10621902	C₂×D₄	semidirect
244. #10621902	C₂×D₄	semidirect
262. C₂×D₁₇₂	C₂×D₄	semidirect
273. C₂×C₄×D₄₃	C₂×D₄	semidirect
393. C₂×D₄₃	#585	semidirect
408. #3487	D₄₃	semidirect
429. C₂×2₋¹⁺⁴	C₂×D₄₃	semidirect
441. C₂²×#41	C₂×D₄₃	semidirect
446. #550	C₂×D₄₃	semidirect
452. #548	C₂×D₄₃	semidirect
467. #535	C₂×D₄₃	semidirect
480. #525	C₂×D₄₃	semidirect
487. #519	C₂×D₄₃	semidirect
492. C₄₃	#62811	semidirect
523. C₂×#41	C₂²×D₄₃	semidirect
530. C₂²×Q₈	C₂²×D₄₃	semidirect
554. #127	C₂²×D₄₃	semidirect
558. #124	C₂²×D₄₃	semidirect
573. C₂²⋊Q₈	C₂²×D₄₃	semidirect
582. #121	C₂²×D₄₃	semidirect
583. #121	C₂²×D₄₃	semidirect
592. C₄×Q₈	C₂²×D₄₃	semidirect
602. C₄×D₄	C₂²×D₄₃	semidirect
645. C₂×Q₈	D₄×D₄₃	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14583736	2
C₂²×#41×D₄₃	2
#19148274	2
#19148263	2
#19148253	2
#19148247	2
#19148243	2
#19148237	2
#19148229	2
#19148085	2
#19148084	2
#19147926	2
#525×D₄₃	2
#19147797	2
C₄₃×#3487	2
#62811	43