Subgroups — C₂×#19148237 #26004637

Order 11008.

11686 conjugacy classes of subgroups.

The subgroup lattice has 780 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂²×#13063371	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂³×#10621898	C₂	1	1	yes	maximal, characteristic, complemented
3	#19148237	C₂	1	32	yes	maximal, direct product factor
4	C₂×#14583554	C₂	1	4	yes	maximal, complemented
5	C₂×#14583551	C₂	1	4	yes	maximal, complemented
6	C₂×#14583546	C₂	1	4	yes	maximal, complemented
7	C₂×#14583545	C₂	1	4	yes	maximal, complemented
8	C₂×#14583475	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#14583470	C₂	1	1	yes	maximal, characteristic, complemented
10	C₂×#14583459	C₂	1	4	yes	maximal, complemented
11	C₂×#14583410	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#123×D₄₃	C₂	1	4	yes	maximal, complemented
13	C₂×#14583373	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×C₄₃×#525	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#13063371	—	2	16	no	—
16	C₂×#13063371	C₂²	1	16	yes	complemented
17	C₂²×#10621902	C₂²	1	2	yes	complemented
18	C₂²×#10621898	—	2	16	no	—
19	C₂²×#10621898	C₂²	1	1	yes	characteristic
20	C₂²×#10621898	C₂²	1	4	yes	complemented
21	C₂²×#10621898	C₂²	1	4	yes	complemented
22	C₂²×#10621898	C₂²	1	2	yes	complemented
23	C₂²×#10621898	C₂²	1	16	yes	complemented
24	C₂³×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
25	C₂³×D₁₇₂	C₂²	1	1	yes	characteristic
26	C₂³×D₁₇₂	C₂²	1	2	yes	complemented
27	C₂³×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
28	C₂²×D₄×D₄₃	C₂²	1	4	yes	—
29	C₂²×D₄×D₄₃	C₂²	1	2	yes	complemented
30	C₂³×C₄×D₄₃	C₂²	1	2	yes	complemented
31	#14583554	C₂²	1	64	yes	complemented
32	#14583551	C₂²	1	64	yes	complemented
33	#14583546	C₂²	1	64	yes	complemented
34	#14583545	C₂²	1	64	yes	complemented
35	#14583475	C₂²	1	16	yes	complemented
36	#14583470	C₂²	1	16	yes	complemented
37	#14583459	C₂²	1	64	yes	complemented
38	C₂×#13063325	C₂²	1	2	yes	complemented
39	C₂×#13063323	C₂²	1	2	yes	complemented
40	C₂×#13063313	C₂²	1	2	yes	complemented
41	C₂×#13063312	C₂²	1	2	yes	complemented
42	#14583410	C₂²	1	16	yes	complemented
43	C₂×#13063310	C₂²	1	8	yes	complemented
44	C₂×#13063309	C₂²	1	4	yes	complemented
45	C₂×#13063308	C₂²	1	2	yes	complemented
46	C₂×#13063307	C₂²	1	8	yes	complemented
47	C₂×#13063307	C₂²	1	8	yes	complemented
48	C₂×#13063306	C₂²	1	4	yes	complemented
49	#123×D₄₃	C₂²	1	64	yes	complemented
50	C₂×#13063305	C₂²	1	4	yes	complemented
51	C₂×#13063304	C₂²	1	4	yes	complemented
52	C₂×#13063304	C₂²	1	2	yes	complemented
53	C₂×#13063299	C₂²	1	2	yes	complemented
54	C₂×#13063298	C₂²	1	8	yes	complemented
55	C₂×#13063296	C₂²	1	8	yes	complemented
56	C₂×#13063294	C₂²	1	2	yes	complemented
57	C₂×#13063293	C₂²	1	8	yes	complemented
58	#14583373	C₂²	1	16	yes	complemented
59	C₂×C₄×D₁₇₂	C₂²	1	4	yes	complemented
60	C₂×#13063287	C₂²	1	4	yes	complemented
61	C₂×C₄×C₂²⋊D₄₃	C₂²	1	4	yes	complemented
62	C₂×#13063284	C₂²	1	1	yes	characteristic, complemented
63	C₂×C₄⋊C₄×D₄₃	C₂²	1	8	yes	complemented
64	C₂×C₂²⋊C₄×D₄₃	C₂²	1	4	yes	complemented
65	C₂×C₂²⋊C₄×D₄₃	C₂²	1	8	yes	complemented
66	C₂²×#41×C₄₃	C₂²	1	1	yes	characteristic
67	C₂⁴×C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
68	C₄₃×#525	C₂²	1	16	yes	complemented
69	C₂×#123×C₄₃	C₂²	1	2	yes	complemented
70	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	2	yes	complemented
71	C₂×#121×C₄₃	C₂²	1	2	yes	complemented
72	C₂×#120×C₄₃	C₂²	1	2	yes	complemented
73	C₂×C₄×D₄×C₄₃	C₂²	1	4	yes	complemented
74	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic, complemented
75	C₂⁴×D₄₃	C₂³	1	4	yes	—
76	C₂⁴×D₄₃	C₂³	1	2	yes	—
77	#13063371	—	2	128	no	—
78	C₂×#10621902	—	2	16	no	—
79	C₂×#10621902	C₂³	1	16	yes	complemented
80	C₂×#10621898	—	2	8	no	—
81	C₂×#10621898	—	2	32	no	—
82	C₂×#10621898	—	2	32	no	—
83	C₂×#10621898	—	2	16	no	—
84	C₂×#10621898	—	2	128	no	—
85	C₂×#10621898	C₂³	1	8	yes	—
86	C₂×#10621898	C₂³	1	16	yes	complemented
87	C₂×#10621898	C₂³	1	32	yes	complemented
88	C₂×#10621898	C₂³	1	32	yes	complemented
89	C₂²×Dic₈₆	—	2	8	no	—
90	C₂²×Dic₈₆	C₂³	1	2	yes	—
91	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
92	C₂²×Dic₈₆	C₂³	1	2	yes	—
93	C₂²×Dic₈₆	C₂³	1	8	yes	complemented
94	C₂²×D₁₇₂	—	2	16	no	—
95	C₂²×D₁₇₂	D₄	1	16	yes	complemented
96	C₂²×D₁₇₂	C₂³	1	4	yes	—
97	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
98	C₂²×D₁₇₂	C₂³	1	2	yes	—
99	C₂²×D₁₇₂	C₂³	1	2	yes	—
100	C₂²×D₁₇₂	C₂³	1	8	yes	—
101	C₂²×D₁₇₂	C₂³	1	16	yes	complemented
102	C₂²×C₂²⋊D₄₃	—	2	16	no	—
103	C₂²×C₂²⋊D₄₃	C₂³	1	8	yes	—
104	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
105	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
106	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
107	C₂²×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
108	C₂×D₄×D₄₃	—	2	32	no	—
109	C₂×D₄×D₄₃	—	2	16	no	—
110	C₂×D₄×D₄₃	C₂³	1	32	yes	—
111	C₂×D₄×D₄₃	C₂³	1	16	yes	complemented
112	C₂³×Dic₄₃	C₂³	1	2	yes	—
113	C₂²×C₄×D₄₃	—	2	16	no	—
114	C₂²×C₄×D₄₃	C₂³	1	8	yes	—
115	C₂²×C₄×D₄₃	C₂³	1	4	yes	—
116	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
117	C₂²×C₄×D₄₃	C₂³	1	8	yes	—
118	C₂²×C₄×D₄₃	C₂³	1	16	yes	complemented
119	#13063325	C₂³	1	16	yes	complemented
120	#13063323	C₂³	1	16	yes	complemented
121	#13063313	C₂³	1	16	yes	complemented
122	#13063312	C₂³	1	16	yes	complemented
123	#13063310	C₂³	1	64	yes	complemented
124	#13063309	C₂³	1	32	yes	complemented
125	#13063308	C₂³	1	16	yes	complemented
126	#13063307	C₂³	1	64	yes	complemented
127	#13063307	C₂³	1	64	yes	complemented
128	#13063306	C₂³	1	32	yes	complemented
129	#13063305	C₂³	1	32	yes	complemented
130	#13063304	C₂³	1	16	yes	complemented
131	#13063304	C₂³	1	32	yes	complemented
132	#13063299	C₂³	1	16	yes	complemented
133	#13063298	C₂³	1	64	yes	complemented
134	#13063296	C₂³	1	64	yes	complemented
135	#13063294	C₂³	1	16	yes	complemented
136	#13063293	C₂³	1	64	yes	complemented
137	C₄×D₁₇₂	C₂³	1	32	yes	complemented
138	#13063287	C₂³	1	32	yes	complemented
139	C₄×C₂²⋊D₄₃	C₂³	1	32	yes	complemented
140	#13063284	C₂³	1	8	yes	complemented
141	C₂×C₄⋊Dic₄₃	C₂³	1	8	yes	—
142	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
143	C₂×Dic₄₃⋊C₄	C₂³	1	4	yes	—
144	C₂×Dic₄₃⋊C₄	C₂³	1	8	yes	—
145	C₄⋊C₄×D₄₃	C₂³	1	64	yes	complemented
146	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
147	C₂×C₂²⋊Dic₄₃	C₂³	1	8	yes	—
148	C₂×C₂²⋊Dic₄₃	C₂³	1	4	yes	—
149	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
150	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	8	yes	—
151	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	8	yes	—
152	C₂²⋊C₄×D₄₃	C₂³	1	32	yes	complemented
153	C₂²⋊C₄×D₄₃	C₂³	1	64	yes	complemented
154	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
155	C₂⁵×C₄₃	C₂³	1	1	yes	characteristic
156	C₂×#41×C₄₃	—	2	8	no	—
157	C₂×#41×C₄₃	C₂³	1	8	yes	—
158	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
159	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
160	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
161	C₂²×D₄×C₄₃	C₂³	1	4	yes	—
162	C₂³×C₄×C₄₃	—	2	8	no	—
163	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
164	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
165	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
166	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
167	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
168	C₂³×C₄×C₄₃	C₂³	1	8	yes	complemented
169	#123×C₄₃	C₂³	1	16	yes	complemented
170	C₂²⋊Q₈×C₄₃	C₂³	1	16	yes	complemented
171	#121×C₄₃	C₂³	1	16	yes	complemented
172	#120×C₄₃	C₂³	1	16	yes	complemented
173	C₄×D₄×C₄₃	C₂³	1	32	yes	complemented
174	#117×C₄₃	C₂³	1	8	yes	complemented
175	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
176	C₂×C₄⋊C₄×C₄₃	C₂³	1	4	yes	—
177	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
178	C₂×C₂²⋊C₄×C₄₃	C₂³	1	4	yes	—
179	C₂×C₂²⋊C₄×C₄₃	C₂³	1	4	yes	—
180	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
181	C₂⁴×C₄₃	—	2	4	no	—
182	C₂⁴×C₄₃	—	4	4	no	—
183	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
184	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
185	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
186	C₂⁴×C₄₃	C₂⁴	1	4	yes	—
187	C₂³×D₄₃	—	2	16	no	—
188	C₂³×D₄₃	—	4	8	no	—
189	C₂³×D₄₃	—	4	16	no	—
190	C₂³×D₄₃	C₂×D₄	1	16	yes	—
191	C₂³×D₄₃	C₂⁴	1	2	yes	—
192	C₂³×D₄₃	C₂⁴	1	4	yes	—
193	C₂³×D₄₃	C₂⁴	1	16	yes	—
194	C₂³×D₄₃	C₂⁴	1	8	yes	—
195	#41×C₄₃	—	2	32	no	—
196	C₂×Q₈×C₄₃	—	2	4	no	—
197	C₂×Q₈×C₄₃	C₂⁴	1	4	yes	—
198	C₂×D₄×C₄₃	—	2	4	no	—
199	C₂×D₄×C₄₃	—	2	8	no	—
200	C₂×D₄×C₄₃	—	4	8	no	—
201	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
202	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
203	C₂×D₄×C₄₃	C₂⁴	1	16	yes	—
204	C₂²×C₄×C₄₃	—	2	8	no	—
205	C₂²×C₄×C₄₃	—	2	8	no	—
206	C₂²×C₄×C₄₃	—	2	32	no	—
207	C₂²×C₄×C₄₃	—	2	8	no	—
208	C₂²×C₄×C₄₃	—	2	4	no	—
209	C₂²×C₄×C₄₃	C₂×D₄	1	8	yes	—
210	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
211	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
212	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
213	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
214	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
215	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
216	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
217	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
218	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
219	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
220	C₂×C₂²⋊D₄₃	—	2	8	no	—
221	C₂×C₂²⋊D₄₃	—	2	16	no	—
222	C₂×C₂²⋊D₄₃	—	2	32	no	—
223	C₂×C₂²⋊D₄₃	—	2	64	no	—
224	C₂×C₂²⋊D₄₃	—	4	8	no	—
225	C₂×C₂²⋊D₄₃	C₂⁴	1	32	yes	—
226	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
227	C₂×C₂²⋊D₄₃	C₂⁴	1	16	yes	—
228	C₂×C₂²⋊D₄₃	C₂⁴	1	16	yes	—
229	C₂²×Dic₄₃	—	2	8	no	—
230	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
231	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
232	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
233	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
234	#10621902	—	2	64	no	—
235	D₄×D₄₃	—	2	64	no	—
236	D₄×D₄₃	—	2	128	no	—
237	#10621898	—	2	32	no	—
238	#10621898	—	2	128	no	—
239	#10621898	—	2	128	no	—
240	#10621898	—	2	64	no	—
241	C₂×D₁₇₂	—	2	4	no	—
242	C₂×D₁₇₂	—	2	64	no	—
243	C₂×D₁₇₂	—	2	16	no	—
244	C₂×D₁₇₂	C₂×D₄	1	16	yes	—
245	C₂×D₁₇₂	C₂×D₄	1	16	yes	—
246	C₂×D₁₇₂	C₂×D₄	1	64	yes	complemented
247	C₂×D₁₇₂	C₂⁴	1	16	yes	—
248	C₂×D₁₇₂	C₂⁴	1	4	yes	—
249	C₂×D₁₇₂	C₂⁴	1	8	yes	—
250	C₂×D₁₇₂	C₂⁴	1	8	yes	—
251	C₂×C₄×D₄₃	—	2	8	no	—
252	C₂×C₄×D₄₃	—	2	32	no	—
253	C₂×C₄×D₄₃	—	2	64	no	—
254	C₂×C₄×D₄₃	—	2	16	no	—
255	C₂×C₄×D₄₃	—	4	16	no	—
256	C₂×C₄×D₄₃	C₂⁴	1	32	yes	—
257	C₂×C₄×D₄₃	C₂⁴	1	16	yes	—
258	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
259	C₂×C₄×D₄₃	C₂⁴	1	32	yes	—
260	C₂×Dic₈₆	—	2	8	no	—
261	C₂×Dic₈₆	—	2	8	no	—
262	C₂×Dic₈₆	—	2	32	no	—
263	C₂×Dic₈₆	—	2	4	no	—
264	C₂×Dic₈₆	C₂⁴	1	8	yes	—
265	C₂×Dic₈₆	C₂⁴	1	4	yes	—
266	C₂×Dic₈₆	C₂⁴	1	8	yes	—
267	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
268	C₄⋊C₄×C₄₃	C₂⁴	1	16	yes	—
269	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
270	C₂²⋊C₄×C₄₃	C₂⁴	1	16	yes	—
271	C₂²⋊C₄×C₄₃	C₂⁴	1	16	yes	—
272	C₄²×C₄₃	C₂⁴	1	8	yes	—
273	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
274	C₂²⋊Dic₄₃	C₂⁴	1	32	yes	—
275	C₂²⋊Dic₄₃	C₂⁴	1	16	yes	—
276	(C₂×D₄₃)⋊C₄	C₂⁴	1	16	yes	—
277	(C₂×D₄₃)⋊C₄	C₂⁴	1	32	yes	—
278	(C₂×D₄₃)⋊C₄	C₂⁴	1	32	yes	—
279	C₄⋊Dic₄₃	C₂⁴	1	32	yes	—
280	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
281	Dic₄₃⋊C₄	C₂⁴	1	16	yes	—
282	Dic₄₃⋊C₄	C₂⁴	1	32	yes	—
283	C₄×Dic₄₃	C₂⁴	1	8	yes	—
284	C₂³×C₄₃	—	2	4	no	—
285	C₂³×C₄₃	—	2	8	no	—
286	C₂³×C₄₃	—	2	4	no	—
287	C₂³×C₄₃	—	2	4	no	—
288	C₂³×C₄₃	—	2	4	no	—
289	C₂³×C₄₃	—	2	4	no	—
290	C₂³×C₄₃	—	2	8	no	—
291	C₂³×C₄₃	—	4	8	no	—
292	C₂³×C₄₃	—	4	16	no	—
293	C₂³×C₄₃	C₂²×D₄	1	4	yes	—
294	C₂³×C₄₃	C₂⁵	1	4	yes	—
295	C₂³×C₄₃	C₂⁵	1	4	yes	—
296	C₂³×C₄₃	C₂⁵	1	2	yes	—
297	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
298	C₂²×D₄₃	—	2	16	no	—
299	C₂²×D₄₃	—	2	4	no	—
300	C₂²×D₄₃	—	2	8	no	—
301	C₂²×D₄₃	—	2	32	no	—
302	C₂²×D₄₃	—	4	32	no	—
303	C₂²×D₄₃	—	4	16	no	—
304	C₂²×D₄₃	—	4	32	no	—
305	C₂²×D₄₃	—	8	32	no	—
306	C₂²×D₄₃	C₂²×D₄	1	16	yes	—
307	C₂²×D₄₃	C₂²×D₄	1	32	yes	—
308	C₂²×D₄₃	C₂⁵	1	4	yes	—
309	C₂²×D₄₃	C₂⁵	1	8	yes	—
310	Q₈×C₄₃	—	2	8	no	—
311	D₄×C₄₃	—	2	16	no	—
312	D₄×C₄₃	—	2	8	no	—
313	D₄×C₄₃	—	4	16	no	—
314	C₂×C₄×C₄₃	—	2	8	no	—
315	C₂×C₄×C₄₃	—	2	4	no	—
316	C₂×C₄×C₄₃	—	2	4	no	—
317	C₂×C₄×C₄₃	—	2	8	no	—
318	C₂×C₄×C₄₃	—	2	16	no	—
319	C₂×C₄×C₄₃	—	2	16	no	—
320	C₂×C₄×C₄₃	—	2	16	no	—
321	C₂×C₄×C₄₃	C₂²×D₄	1	4	yes	—
322	C₂×C₄×C₄₃	C₂²×D₄	1	4	yes	—
323	C₂×C₄×C₄₃	C₂²×D₄	1	16	yes	—
324	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
325	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
326	C₂×C₄×C₄₃	C₂⁵	1	8	yes	—
327	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
328	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
329	C₂²⋊D₄₃	—	2	16	no	—
330	C₂²⋊D₄₃	—	2	64	no	—
331	C₂²⋊D₄₃	—	2	32	no	—
332	C₂²⋊D₄₃	—	4	16	no	—
333	C₂×Dic₄₃	—	2	16	no	—
334	C₂×Dic₄₃	—	2	8	no	—
335	C₂×Dic₄₃	—	2	4	no	—
336	C₂×Dic₄₃	—	2	8	no	—
337	C₂×Dic₄₃	C₂⁵	1	8	yes	—
338	C₂×Dic₄₃	C₂⁵	1	4	yes	—
339	C₂×Dic₄₃	C₂⁵	1	8	yes	—
340	D₁₇₂	—	2	32	no	—
341	D₁₇₂	—	2	8	no	—
342	D₁₇₂	C₂²×D₄	1	32	yes	—
343	D₁₇₂	C₂²×D₄	1	32	yes	—
344	C₄×D₄₃	—	2	64	no	—
345	C₄×D₄₃	—	2	32	no	—
346	C₄×D₄₃	—	2	16	no	—
347	C₄×D₄₃	—	4	32	no	—
348	Dic₈₆	—	2	16	no	—
349	Dic₈₆	—	2	16	no	—
350	Dic₈₆	—	2	8	no	—
351	C₂×#3485	—	43	1	no	maximal, Sylow
352	C₂²×C₄₃	—	2	4	no	—
353	C₂²×C₄₃	—	2	8	no	—
354	C₂²×C₄₃	—	2	4	no	—
355	C₂²×C₄₃	—	2	4	no	—
356	C₂²×C₄₃	—	2	8	no	—
357	C₂²×C₄₃	—	2	4	no	—
358	C₂²×C₄₃	—	2	4	no	—
359	C₂²×C₄₃	—	4	16	no	—
360	C₂²×C₄₃	—	4	8	no	—
361	C₂²×C₄₃	—	4	8	no	—
362	C₂²×C₄₃	C₂³×D₄	1	4	yes	—
363	C₂²×C₄₃	C₂³×D₄	1	2	yes	—
364	C₂²×C₄₃	#585	1	4	yes	—
365	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
366	C₂×D₄₃	—	2	16	no	—
367	C₂×D₄₃	—	2	32	no	—
368	C₂×D₄₃	—	2	4	no	—
369	C₂×D₄₃	—	2	8	no	—
370	C₂×D₄₃	—	4	32	no	—
371	C₂×D₄₃	—	4	8	no	—
372	C₂×D₄₃	—	8	32	no	—
373	C₂×D₄₃	C₂³×D₄	1	16	yes	—
374	C₄×C₄₃	—	2	4	no	—
375	C₄×C₄₃	—	2	4	no	—
376	C₄×C₄₃	—	2	8	no	—
377	C₄×C₄₃	C₂³×D₄	1	4	yes	—
378	C₄×C₄₃	C₂³×D₄	1	4	yes	—
379	Dic₄₃	—	2	8	no	—
380	Dic₄₃	—	2	4	no	—
381	Dic₄₃	—	2	8	no	—
382	C₂²×H(5,𝔽₂)	—	43	1	no	—
383	C₂³×#41	—	43	1	no	—
384	#3485	—	43	32	no	—
385	C₂×#547	—	43	4	no	—
386	C₂×#547	—	43	4	no	—
387	C₂×#546	—	43	4	no	—
388	C₂×#546	—	43	4	no	—
389	C₂×#536	—	43	1	no	—
390	C₂×#536	—	43	1	no	—
391	C₂×#534	—	43	4	no	—
392	C₂×#525	—	43	1	no	—
393	C₂×#525	D₄₃	1	1	yes	characteristic, complemented
394	C₂²×#123	—	43	4	no	—
395	C₂×#518	—	43	1	no	—
396	C₂×C₄₃	—	2	4	no	—
397	C₂×C₄₃	—	4	4	no	—
398	C₂×C₄₃	—	4	4	no	—
399	C₂×C₄₃	#3485	1	4	yes	complemented
400	C₂×C₄₃	C₂⁴×D₄	1	1	yes	characteristic
401	C₂×C₄₃	C₂×#585	1	2	yes	—
402	D₄₃	—	2	16	no	—
403	D₄₃	—	4	4	no	—
404	C₂×H(5,𝔽₂)	—	43	16	no	—
405	C₂×H(5,𝔽₂)	—	86	16	no	—
406	C₂²×#41	—	43	2	no	—
407	C₂²×#41	—	43	4	no	—
408	C₂²×#41	—	43	4	no	—
409	C₂²×#41	—	43	1	no	—
410	C₂²×#41	—	43	2	no	—
411	C₂²×#41	—	43	16	no	—
412	C₂²×#41	—	86	16	no	—
413	C₂²×#41	C₂×D₄₃	1	1	yes	characteristic
414	C₂³×Q₈	—	43	1	no	—
415	C₂³×D₄	—	43	2	no	—
416	C₂³×D₄	—	43	4	no	—
417	C₂³×D₄	—	43	2	no	—
418	C₂³×D₄	—	43	1	no	—
419	C₂³×D₄	—	43	2	no	—
420	C₂⁴×C₄	—	43	2	no	—
421	C₂⁴×C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
422	#547	—	43	64	no	—
423	#547	—	43	64	no	—
424	#546	—	43	64	no	—
425	#546	—	43	64	no	—
426	#536	—	43	16	no	—
427	#536	—	43	16	no	—
428	#534	—	43	64	no	—
429	C₂×C₄⋊Q₈	—	43	2	no	—
430	C₂×C₄⋊Q₈	—	43	2	no	—
431	C₂×#124	—	43	2	no	—
432	C₂×#124	—	43	2	no	—
433	#525	—	43	16	no	—
434	#525	C₂×D₄₃	1	16	yes	complemented
435	C₂×#123	—	43	4	no	—
436	C₂×#123	—	43	2	no	—
437	C₂×#123	—	43	64	no	—
438	C₂×#123	—	43	8	no	—
439	C₂×#123	—	43	8	no	—
440	C₂×#123	—	43	8	no	—
441	C₂×#123	—	43	4	no	—
442	C₂×#123	C₂×D₄₃	1	2	yes	complemented
443	C₂×C₂²⋊Q₈	—	43	2	no	—
444	C₂×C₂²⋊Q₈	—	43	4	no	—
445	C₂×C₂²⋊Q₈	—	43	4	no	—
446	C₂×C₂²⋊Q₈	C₂×D₄₃	1	2	yes	complemented
447	C₂×#121	—	43	8	no	—
448	C₂×#121	—	43	2	no	—
449	C₂×#121	—	43	8	no	—
450	C₂×#121	C₂×D₄₃	1	2	yes	complemented
451	C₂×#120	—	43	2	no	—
452	C₂×#120	—	43	8	no	—
453	C₂×#120	C₂×D₄₃	1	2	yes	complemented
454	#518	—	43	16	no	—
455	C₂×C₄×D₄	—	43	4	no	—
456	C₂×C₄×D₄	—	43	4	no	—
457	C₂×C₄×D₄	—	43	4	no	—
458	C₂×C₄×D₄	C₂×D₄₃	1	4	yes	complemented
459	C₂×#117	—	43	1	no	—
460	C₂×#117	C₂×D₄₃	1	1	yes	characteristic, complemented
461	C₂²×C₄⋊C₄	—	43	8	no	—
462	C₂²×C₂²⋊C₄	—	43	4	no	—
463	C₂²×C₂²⋊C₄	—	43	8	no	—
464	C₄₃	C₂×#3485	1	1	yes	characteristic, complemented, Sylow
465	C₂⁵	—	43	2	no	—
466	C₂⁵	—	43	4	no	—
467	C₂⁵	C₂²×D₄₃	1	1	yes	characteristic
468	H(5,𝔽₂)	—	86	128	no	—
469	C₂×#41	—	2	8	no	—
470	C₂×#41	—	43	16	no	—
471	C₂×#41	—	43	8	no	—
472	C₂×#41	—	43	32	no	—
473	C₂×#41	—	43	32	no	—
474	C₂×#41	—	43	16	no	—
475	C₂×#41	—	86	32	no	—
476	C₂×#41	—	86	32	no	—
477	C₂×#41	—	86	128	no	—
478	C₂×#41	—	86	16	no	—
479	C₂×#41	—	86	16	no	—
480	C₂×#41	—	86	8	no	—
481	C₂×#41	C₂²×D₄₃	1	8	yes	—
482	C₂²×Q₈	—	43	2	no	—
483	C₂²×Q₈	—	43	2	no	—
484	C₂²×Q₈	—	43	1	no	—
485	C₂²×Q₈	—	43	8	no	—
486	C₂²×Q₈	—	86	8	no	—
487	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
488	C₂²×D₄	—	43	8	no	—
489	C₂²×D₄	—	43	2	no	—
490	C₂²×D₄	—	43	4	no	—
491	C₂²×D₄	—	43	16	no	—
492	C₂²×D₄	—	43	4	no	—
493	C₂²×D₄	—	43	32	no	—
494	C₂²×D₄	—	43	16	no	—
495	C₂²×D₄	—	43	16	no	—
496	C₂²×D₄	—	43	2	no	—
497	C₂²×D₄	—	43	2	no	—
498	C₂²×D₄	—	43	8	no	—
499	C₂²×D₄	—	43	4	no	—
500	C₂²×D₄	—	43	1	no	—
501	C₂²×D₄	—	43	16	no	—
502	C₂²×D₄	—	86	16	no	—
503	C₂²×D₄	—	86	16	no	—
504	C₂²×D₄	—	86	32	no	—
505	C₂²×D₄	—	86	16	no	—
506	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
507	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
508	C₂²×D₄	C₂²×D₄₃	1	4	yes	—
509	C₂³×C₄	—	2	8	no	—
510	C₂³×C₄	—	43	2	no	—
511	C₂³×C₄	—	43	8	no	—
512	C₂³×C₄	—	43	4	no	—
513	C₂³×C₄	—	43	2	no	—
514	C₂³×C₄	—	43	16	no	—
515	C₂³×C₄	—	43	8	no	—
516	C₂³×C₄	—	86	16	no	—
517	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
518	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
519	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
520	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
521	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
522	C₂³×C₄	C₂²×D₄₃	1	8	yes	complemented
523	C₄⋊Q₈	—	43	16	no	—
524	C₄⋊Q₈	—	43	16	no	—
525	#124	—	43	16	no	—
526	#124	—	43	16	no	—
527	#123	—	43	32	no	—
528	#123	—	43	16	no	—
529	#123	—	43	64	no	—
530	#123	—	43	32	no	—
531	#123	—	43	64	no	—
532	#123	—	43	64	no	—
533	#123	C₂²×D₄₃	1	16	yes	complemented
534	C₂²⋊Q₈	—	43	16	no	—
535	C₂²⋊Q₈	—	43	32	no	—
536	C₂²⋊Q₈	—	43	32	no	—
537	C₂²⋊Q₈	C₂²×D₄₃	1	16	yes	complemented
538	#121	—	43	64	no	—
539	#121	—	43	16	no	—
540	#121	—	43	64	no	—
541	#121	C₂²×D₄₃	1	16	yes	complemented
542	#120	—	43	16	no	—
543	#120	—	43	64	no	—
544	#120	C₂²×D₄₃	1	16	yes	complemented
545	C₄×D₄	—	43	32	no	—
546	C₄×D₄	—	43	32	no	—
547	C₄×D₄	—	43	32	no	—
548	C₄×D₄	C₂²×D₄₃	1	32	yes	complemented
549	#117	—	43	8	no	—
550	#117	C₂²×D₄₃	1	8	yes	complemented
551	C₂×C₄⋊C₄	—	43	4	no	—
552	C₂×C₄⋊C₄	—	43	8	no	—
553	C₂×C₄⋊C₄	—	43	8	no	—
554	C₂×C₄⋊C₄	—	43	2	no	—
555	C₂×C₄⋊C₄	—	43	64	no	—
556	C₂×C₄⋊C₄	C₂²×D₄₃	1	4	yes	—
557	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
558	C₂×C₂²⋊C₄	—	43	2	no	—
559	C₂×C₂²⋊C₄	—	43	8	no	—
560	C₂×C₂²⋊C₄	—	43	4	no	—
561	C₂×C₂²⋊C₄	—	43	4	no	—
562	C₂×C₂²⋊C₄	—	43	8	no	—
563	C₂×C₂²⋊C₄	—	43	8	no	—
564	C₂×C₂²⋊C₄	—	43	32	no	—
565	C₂×C₂²⋊C₄	—	43	64	no	—
566	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
567	C₂×C₂²⋊C₄	C₂²×D₄₃	1	4	yes	—
568	C₂×C₂²⋊C₄	C₂²×D₄₃	1	4	yes	—
569	C₂×C₄²	—	43	2	no	—
570	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
571	C₂⁴	—	2	4	no	—
572	C₂⁴	—	4	4	no	—
573	C₂⁴	—	43	4	no	—
574	C₂⁴	—	43	16	no	—
575	C₂⁴	—	43	8	no	—
576	C₂⁴	—	43	2	no	—
577	C₂⁴	—	43	16	no	—
578	C₂⁴	—	86	16	no	—
579	C₂⁴	—	172	16	no	—
580	C₂⁴	—	172	8	no	—
581	C₂⁴	C₂³×D₄₃	1	2	yes	—
582	C₂⁴	C₂³×D₄₃	1	2	yes	—
583	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
584	C₂⁴	C₂³×D₄₃	1	4	yes	—
585	#41	—	2	32	no	—
586	#41	—	86	128	no	—
587	#41	—	86	128	no	—
588	#41	—	86	64	no	—
589	#41	—	86	64	no	—
590	#41	—	86	32	no	—
591	C₂×Q₈	—	2	4	no	—
592	C₂×Q₈	—	43	8	no	—
593	C₂×Q₈	—	43	8	no	—
594	C₂×Q₈	—	43	4	no	—
595	C₂×Q₈	—	86	8	no	—
596	C₂×Q₈	—	86	8	no	—
597	C₂×Q₈	—	86	32	no	—
598	C₂×Q₈	—	86	4	no	—
599	C₂×Q₈	C₂³×D₄₃	1	4	yes	—
600	C₂×D₄	—	2	8	no	—
601	C₂×D₄	—	2	4	no	—
602	C₂×D₄	—	4	8	no	—
603	C₂×D₄	—	43	32	no	—
604	C₂×D₄	—	43	8	no	—
605	C₂×D₄	—	43	16	no	—
606	C₂×D₄	—	43	16	no	—
607	C₂×D₄	—	43	16	no	—
608	C₂×D₄	—	43	16	no	—
609	C₂×D₄	—	43	64	no	—
610	C₂×D₄	—	43	8	no	—
611	C₂×D₄	—	43	8	no	—
612	C₂×D₄	—	43	16	no	—
613	C₂×D₄	—	43	4	no	—
614	C₂×D₄	—	86	64	no	—
615	C₂×D₄	—	86	16	no	—
616	C₂×D₄	—	86	64	no	—
617	C₂×D₄	—	86	128	no	—
618	C₂×D₄	—	86	16	no	—
619	C₂×D₄	—	86	32	no	—
620	C₂×D₄	—	86	64	no	—
621	C₂×D₄	—	86	8	no	—
622	C₂×D₄	—	86	4	no	—
623	C₂×D₄	—	172	8	no	—
624	C₂×D₄	C₂³×D₄₃	1	8	yes	—
625	C₂×D₄	C₂³×D₄₃	1	4	yes	—
626	C₂×D₄	C₂³×D₄₃	1	16	yes	—
627	C₂²×C₄	—	2	4	no	—
628	C₂²×C₄	—	2	8	no	—
629	C₂²×C₄	—	2	8	no	—
630	C₂²×C₄	—	2	32	no	—
631	C₂²×C₄	—	2	8	no	—
632	C₂²×C₄	—	43	8	no	—
633	C₂²×C₄	—	43	4	no	—
634	C₂²×C₄	—	43	4	no	—
635	C₂²×C₄	—	43	2	no	—
636	C₂²×C₄	—	43	32	no	—
637	C₂²×C₄	—	43	16	no	—
638	C₂²×C₄	—	43	8	no	—
639	C₂²×C₄	—	43	32	no	—
640	C₂²×C₄	—	86	32	no	—
641	C₂²×C₄	—	86	64	no	—
642	C₂²×C₄	—	86	16	no	—
643	C₂²×C₄	—	86	8	no	—
644	C₂²×C₄	—	86	8	no	—
645	C₂²×C₄	—	172	16	no	—
646	C₂²×C₄	D₄×D₄₃	1	8	yes	—
647	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
648	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
649	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
650	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
651	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
652	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
653	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
654	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
655	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
656	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
657	C₄⋊C₄	—	43	16	no	—
658	C₄⋊C₄	—	43	32	no	—
659	C₄⋊C₄	—	43	32	no	—
660	C₄⋊C₄	—	43	8	no	—
661	C₄⋊C₄	C₂³×D₄₃	1	16	yes	—
662	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
663	C₂²⋊C₄	—	43	8	no	—
664	C₂²⋊C₄	—	43	32	no	—
665	C₂²⋊C₄	—	43	16	no	—
666	C₂²⋊C₄	—	43	16	no	—
667	C₂²⋊C₄	—	43	32	no	—
668	C₂²⋊C₄	—	43	32	no	—
669	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
670	C₂²⋊C₄	C₂³×D₄₃	1	16	yes	—
671	C₂²⋊C₄	C₂³×D₄₃	1	16	yes	—
672	C₄²	—	43	8	no	—
673	C₄²	C₂³×D₄₃	1	8	yes	—
674	C₂³	—	2	4	no	—
675	C₂³	—	2	8	no	—
676	C₂³	—	2	4	no	—
677	C₂³	—	2	4	no	—
678	C₂³	—	2	4	no	—
679	C₂³	—	2	8	no	—
680	C₂³	—	2	4	no	—
681	C₂³	—	4	8	no	—
682	C₂³	—	4	16	no	—
683	C₂³	—	43	16	no	—
684	C₂³	—	43	8	no	—
685	C₂³	—	43	32	no	—
686	C₂³	—	43	4	no	—
687	C₂³	—	86	32	no	—
688	C₂³	—	86	16	no	—
689	C₂³	—	86	4	no	—
690	C₂³	—	86	8	no	—
691	C₂³	—	344	32	no	—
692	C₂³	—	172	32	no	—
693	C₂³	—	172	16	no	—
694	C₂³	—	172	32	no	—
695	C₂³	C₂×D₄×D₄₃	1	4	yes	—
696	C₂³	C₂⁴×D₄₃	1	4	yes	—
697	C₂³	C₂⁴×D₄₃	1	4	yes	—
698	C₂³	C₂⁴×D₄₃	1	2	yes	—
699	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
700	Q₈	—	2	8	no	—
701	Q₈	—	86	16	no	—
702	Q₈	—	86	16	no	—
703	Q₈	—	86	8	no	—
704	D₄	—	2	16	no	—
705	D₄	—	2	8	no	—
706	D₄	—	4	16	no	—
707	D₄	—	43	32	no	—
708	D₄	—	43	32	no	—
709	D₄	—	86	32	no	—
710	D₄	—	86	32	no	—
711	D₄	—	86	64	no	—
712	D₄	—	86	16	no	—
713	D₄	—	86	8	no	—
714	D₄	—	172	16	no	—
715	C₂×C₄	—	2	8	no	—
716	C₂×C₄	—	2	4	no	—
717	C₂×C₄	—	2	4	no	—
718	C₂×C₄	—	2	8	no	—
719	C₂×C₄	—	2	16	no	—
720	C₂×C₄	—	2	16	no	—
721	C₂×C₄	—	2	16	no	—
722	C₂×C₄	—	43	8	no	—
723	C₂×C₄	—	43	8	no	—
724	C₂×C₄	—	43	4	no	—
725	C₂×C₄	—	86	64	no	—
726	C₂×C₄	—	86	32	no	—
727	C₂×C₄	—	86	4	no	—
728	C₂×C₄	—	86	16	no	—
729	C₂×C₄	—	86	8	no	—
730	C₂×C₄	—	86	8	no	—
731	C₂×C₄	—	86	16	no	—
732	C₂×C₄	—	172	32	no	—
733	C₂×C₄	C₂×D₄×D₄₃	1	4	yes	—
734	C₂×C₄	C₂×D₄×D₄₃	1	4	yes	—
735	C₂×C₄	C₂×D₄×D₄₃	1	16	yes	—
736	C₂×C₄	C₂⁴×D₄₃	1	8	yes	—
737	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
738	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
739	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
740	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
741	C₂²	—	2	4	no	—
742	C₂²	—	2	8	no	—
743	C₂²	—	2	4	no	—
744	C₂²	—	2	4	no	—
745	C₂²	—	2	4	no	—
746	C₂²	—	2	8	no	—
747	C₂²	—	2	4	no	—
748	C₂²	—	4	16	no	—
749	C₂²	—	4	8	no	—
750	C₂²	—	4	8	no	—
751	C₂²	—	43	16	no	—
752	C₂²	—	86	16	no	—
753	C₂²	—	86	32	no	—
754	C₂²	—	86	4	no	—
755	C₂²	—	86	8	no	—
756	C₂²	—	344	32	no	—
757	C₂²	—	172	32	no	—
758	C₂²	—	172	8	no	—
759	C₂²	C₂²×D₄×D₄₃	1	4	yes	—
760	C₂²	C₂²×D₄×D₄₃	1	2	yes	—
761	C₂²	#14583735	1	4	yes	—
762	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
763	C₄	—	2	4	no	—
764	C₄	—	2	4	no	—
765	C₄	—	2	8	no	—
766	C₄	—	86	4	no	—
767	C₄	—	86	8	no	—
768	C₄	—	86	8	no	—
769	C₄	C₂²×D₄×D₄₃	1	4	yes	—
770	C₄	C₂²×D₄×D₄₃	1	4	yes	—
771	C₂	—	2	4	no	—
772	C₂	—	4	4	no	—
773	C₂	—	4	4	no	—
774	C₂	—	86	16	no	—
775	C₂	—	172	4	no	—
776	C₂	#19148237	1	4	yes	direct product factor
777	C₂	C₂³×D₄×D₄₃	1	1	yes	characteristic
778	C₂	C₂×#14583735	1	2	yes	—

	subgroup	G/H
center	C₂³	C₂⁴×D₄₃
commutator, cosocle	C₂²×C₄₃	C₂⁶
Frattini	C₂²	C₂⁵×D₄₃
Fitting	C₂×C₄₃×#525	C₂
socle	C₂³×C₄₃	C₂⁵
hypercenter	C₂×#525	D₄₃
hypocenter	C₄₃	C₂×#3485
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂×#525

Complements

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

N	H ≅ G/N	type
1. C₂²×#13063371	C₂	semidirect
2. C₂³×#10621898	C₂	semidirect
3. #19148237	C₂	direct (N × H)
4. C₂×#14583554	C₂	semidirect
5. C₂×#14583551	C₂	semidirect
6. C₂×#14583546	C₂	semidirect
7. C₂×#14583545	C₂	semidirect
8. C₂×#14583475	C₂	semidirect
9. C₂×#14583470	C₂	semidirect
10. C₂×#14583459	C₂	semidirect
11. C₂×#14583410	C₂	semidirect
12. C₂×#123×D₄₃	C₂	semidirect
13. C₂×#14583373	C₂	semidirect
14. C₂×C₄₃×#525	C₂	semidirect
16. C₂×#13063371	C₂²	semidirect
17. C₂²×#10621902	C₂²	semidirect
20. C₂²×#10621898	C₂²	semidirect
21. C₂²×#10621898	C₂²	semidirect
22. C₂²×#10621898	C₂²	semidirect
23. C₂²×#10621898	C₂²	semidirect
24. C₂³×Dic₈₆	C₂²	semidirect
26. C₂³×D₁₇₂	C₂²	semidirect
27. C₂³×C₂²⋊D₄₃	C₂²	semidirect
29. C₂²×D₄×D₄₃	C₂²	semidirect
30. C₂³×C₄×D₄₃	C₂²	semidirect
31. #14583554	C₂²	semidirect
32. #14583551	C₂²	semidirect
33. #14583546	C₂²	semidirect
34. #14583545	C₂²	semidirect
35. #14583475	C₂²	semidirect
36. #14583470	C₂²	semidirect
37. #14583459	C₂²	semidirect
38. C₂×#13063325	C₂²	semidirect
39. C₂×#13063323	C₂²	semidirect
40. C₂×#13063313	C₂²	semidirect
41. C₂×#13063312	C₂²	semidirect
42. #14583410	C₂²	semidirect
43. C₂×#13063310	C₂²	semidirect
44. C₂×#13063309	C₂²	semidirect
45. C₂×#13063308	C₂²	semidirect
46. C₂×#13063307	C₂²	semidirect
47. C₂×#13063307	C₂²	semidirect
48. C₂×#13063306	C₂²	semidirect
49. #123×D₄₃	C₂²	semidirect
50. C₂×#13063305	C₂²	semidirect
51. C₂×#13063304	C₂²	semidirect
52. C₂×#13063304	C₂²	semidirect
53. C₂×#13063299	C₂²	semidirect
54. C₂×#13063298	C₂²	semidirect
55. C₂×#13063296	C₂²	semidirect
56. C₂×#13063294	C₂²	semidirect
57. C₂×#13063293	C₂²	semidirect
58. #14583373	C₂²	semidirect
59. C₂×C₄×D₁₇₂	C₂²	semidirect
60. C₂×#13063287	C₂²	semidirect
61. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
62. C₂×#13063284	C₂²	semidirect
63. C₂×C₄⋊C₄×D₄₃	C₂²	semidirect
64. C₂×C₂²⋊C₄×D₄₃	C₂²	semidirect
65. C₂×C₂²⋊C₄×D₄₃	C₂²	semidirect
67. C₂⁴×C₄×C₄₃	C₂²	semidirect
68. C₄₃×#525	C₂²	semidirect
69. C₂×#123×C₄₃	C₂²	semidirect
70. C₂×C₂²⋊Q₈×C₄₃	C₂²	semidirect
71. C₂×#121×C₄₃	C₂²	semidirect
72. C₂×#120×C₄₃	C₂²	semidirect
73. C₂×C₄×D₄×C₄₃	C₂²	semidirect
74. C₂×#117×C₄₃	C₂²	semidirect
79. C₂×#10621902	C₂³	semidirect
86. C₂×#10621898	C₂³	semidirect
87. C₂×#10621898	C₂³	semidirect
88. C₂×#10621898	C₂³	semidirect
93. C₂²×Dic₈₆	C₂³	semidirect
95. C₂²×D₁₇₂	D₄	semidirect
101. C₂²×D₁₇₂	C₂³	semidirect
107. C₂²×C₂²⋊D₄₃	C₂³	semidirect
111. C₂×D₄×D₄₃	C₂³	semidirect
118. C₂²×C₄×D₄₃	C₂³	semidirect
119. #13063325	C₂³	semidirect
120. #13063323	C₂³	semidirect
121. #13063313	C₂³	semidirect
122. #13063312	C₂³	semidirect
123. #13063310	C₂³	semidirect
124. #13063309	C₂³	semidirect
125. #13063308	C₂³	semidirect
126. #13063307	C₂³	semidirect
127. #13063307	C₂³	semidirect
128. #13063306	C₂³	semidirect
129. #13063305	C₂³	semidirect
130. #13063304	C₂³	semidirect
131. #13063304	C₂³	semidirect
132. #13063299	C₂³	semidirect
133. #13063298	C₂³	semidirect
134. #13063296	C₂³	semidirect
135. #13063294	C₂³	semidirect
136. #13063293	C₂³	semidirect
137. C₄×D₁₇₂	C₂³	semidirect
138. #13063287	C₂³	semidirect
139. C₄×C₂²⋊D₄₃	C₂³	semidirect
140. #13063284	C₂³	semidirect
145. C₄⋊C₄×D₄₃	C₂³	semidirect
152. C₂²⋊C₄×D₄₃	C₂³	semidirect
153. C₂²⋊C₄×D₄₃	C₂³	semidirect
168. C₂³×C₄×C₄₃	C₂³	semidirect
169. #123×C₄₃	C₂³	semidirect
170. C₂²⋊Q₈×C₄₃	C₂³	semidirect
171. #121×C₄₃	C₂³	semidirect
172. #120×C₄₃	C₂³	semidirect
173. C₄×D₄×C₄₃	C₂³	semidirect
174. #117×C₄₃	C₂³	semidirect
246. C₂×D₁₇₂	C₂×D₄	semidirect
393. C₂×#525	D₄₃	semidirect
399. C₂×C₄₃	#3485	semidirect
421. C₂⁴×C₄	C₂×D₄₃	semidirect
434. #525	C₂×D₄₃	semidirect
442. C₂×#123	C₂×D₄₃	semidirect
446. C₂×C₂²⋊Q₈	C₂×D₄₃	semidirect
450. C₂×#121	C₂×D₄₃	semidirect
453. C₂×#120	C₂×D₄₃	semidirect
458. C₂×C₄×D₄	C₂×D₄₃	semidirect
460. C₂×#117	C₂×D₄₃	semidirect
464. C₄₃	C₂×#3485	semidirect
522. C₂³×C₄	C₂²×D₄₃	semidirect
533. #123	C₂²×D₄₃	semidirect
537. C₂²⋊Q₈	C₂²×D₄₃	semidirect
541. #121	C₂²×D₄₃	semidirect
544. #120	C₂²×D₄₃	semidirect
548. C₄×D₄	C₂²×D₄₃	semidirect
550. #117	C₂²×D₄₃	semidirect
776. C₂	#19148237	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂²×#13063371	2
C₂³×#10621898	2
#19148237	2
C₂×#14583554	2
C₂×#14583551	2
C₂×#14583546	2
C₂×#14583545	2
C₂×#14583475	2
C₂×#14583470	2
C₂×#14583459	2
C₂×#14583410	2
C₂×#123×D₄₃	2
C₂×#14583373	2
C₂×C₄₃×#525	2
C₂×#3485	43

Subgroups — C2×#19148237 #26004637

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#19148237 #26004637