Subgroups — C₂×D₄×#10621898 #26003557

Order 11008.

12314 conjugacy classes of subgroups.

The subgroup lattice has 1024 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂³×#10621898	C₂	1	2	yes	maximal, complemented
2	D₄×#10621898	C₂	1	32	yes	maximal, direct product factor
3	C₂×#14583570	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×D₄×Dic₈₆	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#14583558	C₂	1	2	yes	maximal, complemented
6	C₂×#14583554	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#14583550	C₂	1	2	yes	maximal, complemented
8	C₂×#14583545	C₂	1	2	yes	maximal, complemented
9	C₂×#14583539	C₂	1	4	yes	maximal, complemented
10	C₂×D₄×D₁₇₂	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×D₄×C₂²⋊D₄₃	C₂	1	2	yes	maximal, complemented
12	C₂×#14583449	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#14583446	C₂	1	2	yes	maximal, complemented
14	C₂×#14583410	C₂	1	2	yes	maximal, complemented
15	C₂×#14583408	C₂	1	4	yes	maximal, complemented
16	C₂×C₄×#10621898	C₂	1	1	yes	maximal, characteristic, complemented
17	C₂×C₄×D₄×D₄₃	C₂	1	2	yes	maximal, complemented
18	C₂²×C₄×D₄×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂²×#10621898	—	2	32	no	—
20	C₂²×#10621898	C₂²	1	1	yes	characteristic
21	C₂²×#10621898	C₂²	1	4	yes	complemented
22	C₂²×#10621898	C₂²	1	2	yes	complemented
23	C₂²×#10621898	C₂²	1	2	yes	complemented
24	C₂²×#10621898	C₂²	1	4	yes	complemented
25	C₂²×#10621898	C₂²	1	2	yes	complemented
26	C₂²×#10621898	C₂²	1	32	yes	complemented
27	C₂³×Dic₈₆	C₂²	1	2	yes	complemented
28	C₂³×D₁₇₂	C₂²	1	2	yes	complemented
29	C₂³×C₂²⋊D₄₃	C₂²	1	4	yes	complemented
30	C₂²×D₄×D₄₃	C₂²	1	2	yes	—
31	C₂³×C₄×D₄₃	C₂²	1	4	yes	complemented
32	#14583570	C₂²	1	16	yes	complemented
33	D₄×Dic₈₆	C₂²	1	16	yes	complemented
34	#14583558	C₂²	1	32	yes	complemented
35	#14583554	C₂²	1	16	yes	complemented
36	#14583550	C₂²	1	32	yes	complemented
37	#14583545	C₂²	1	32	yes	complemented
38	#14583539	C₂²	1	64	yes	complemented
39	D₄×D₁₇₂	C₂²	1	16	yes	complemented
40	D₄×C₂²⋊D₄₃	C₂²	1	32	yes	complemented
41	#14583449	C₂²	1	16	yes	complemented
42	#14583446	C₂²	1	32	yes	complemented
43	C₂×#13063325	C₂²	1	1	yes	characteristic, complemented
44	C₂×#13063324	C₂²	1	2	yes	complemented
45	C₂×#13063322	C₂²	1	1	yes	characteristic, complemented
46	C₂×#13063321	C₂²	1	2	yes	complemented
47	C₂×#13063313	C₂²	1	2	yes	complemented
48	C₂×#13063311	C₂²	1	4	yes	complemented
49	#14583410	C₂²	1	32	yes	complemented
50	#14583408	C₂²	1	64	yes	complemented
51	C₂×#13063310	C₂²	1	4	yes	complemented
52	C₂×#13063308	C₂²	1	4	yes	complemented
53	C₂×#13063307	C₂²	1	4	yes	complemented
54	C₂×#13063304	C₂²	1	2	yes	complemented
55	C₂×#13063304	C₂²	1	2	yes	complemented
56	C₂×#13063303	C₂²	1	4	yes	complemented
57	C₂×#13063302	C₂²	1	4	yes	complemented
58	C₂×#13063300	C₂²	1	2	yes	complemented
59	C₂×#13063299	C₂²	1	2	yes	complemented
60	C₂×#13063299	C₂²	1	2	yes	complemented
61	C₂×#13063299	C₂²	1	2	yes	complemented
62	C₂×#13063299	C₂²	1	2	yes	complemented
63	C₂×#13063298	C₂²	1	4	yes	complemented
64	C₂×#13063298	C₂²	1	4	yes	complemented
65	C₂×#13063297	C₂²	1	4	yes	complemented
66	C₂×#13063296	C₂²	1	2	yes	complemented
67	C₂×#13063295	C₂²	1	4	yes	complemented
68	C₂×#13063294	C₂²	1	4	yes	complemented
69	C₂×#13063293	C₂²	1	4	yes	complemented
70	C₄×#10621898	C₂²	1	16	yes	complemented
71	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
72	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
73	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
74	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
75	C₂×C₄×D₁₇₂	C₂²	1	2	yes	complemented
76	C₂×C₄×D₁₇₂	C₂²	1	2	yes	complemented
77	C₂×D₄×Dic₄₃	C₂²	1	2	yes	—
78	C₂×#13063287	C₂²	1	2	yes	complemented
79	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
80	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
81	C₂×C₄×C₂²⋊D₄₃	C₂²	1	4	yes	complemented
82	C₂×C₄×C₂²⋊D₄₃	C₂²	1	4	yes	complemented
83	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	4	yes	complemented
84	C₄×D₄×D₄₃	C₂²	1	32	yes	complemented
85	C₂×#13063284	C₂²	1	1	yes	characteristic, complemented
86	C₂×#13063282	C₂²	1	2	yes	complemented
87	C₂×C₄⋊C₄×D₄₃	C₂²	1	2	yes	complemented
88	C₂×C₂²⋊C₄×D₄₃	C₂²	1	4	yes	complemented
89	C₂×C₄²×D₄₃	C₂²	1	2	yes	complemented
90	C₂³×D₄×C₄₃	C₂²	1	1	yes	characteristic
91	C₂⁴×C₄×C₄₃	C₂²	1	2	yes	complemented
92	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
93	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
94	C₂×C₄×D₄×C₄₃	C₂²	1	2	yes	complemented
95	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
96	C₂×C₄×D₄×C₄₃	C₂²	1	2	yes	complemented
97	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
98	C₂×C₄×D₄×C₄₃	C₂²	1	16	yes	complemented
99	C₂²×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
100	C₂²×C₂²⋊C₄×C₄₃	C₂²	1	2	yes	complemented
101	C₂²×C₄²×C₄₃	C₂²	1	1	yes	characteristic, complemented
102	C₂⁴×D₄₃	C₂³	1	4	yes	—
103	C₂×#10621898	—	2	16	no	—
104	C₂×#10621898	—	2	32	no	—
105	C₂×#10621898	—	2	256	no	—
106	C₂×#10621898	—	2	16	no	—
107	C₂×#10621898	—	2	32	no	—
108	C₂×#10621898	—	2	16	no	—
109	C₂×#10621898	D₄	1	16	yes	direct product factor
110	C₂×#10621898	C₂³	1	8	yes	—
111	C₂×#10621898	C₂³	1	16	yes	complemented
112	C₂×#10621898	C₂³	1	16	yes	complemented
113	C₂×#10621898	C₂³	1	32	yes	complemented
114	C₂×#10621898	C₂³	1	16	yes	complemented
115	C₂×#10621898	C₂³	1	32	yes	complemented
116	C₂²×Dic₈₆	—	2	16	no	—
117	C₂²×Dic₈₆	C₂³	1	4	yes	—
118	C₂²×Dic₈₆	C₂³	1	2	yes	—
119	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
120	C₂²×Dic₈₆	C₂³	1	16	yes	complemented
121	C₂²×D₁₇₂	—	2	16	no	—
122	C₂²×D₁₇₂	C₂³	1	2	yes	—
123	C₂²×D₁₇₂	C₂³	1	4	yes	—
124	C₂²×D₁₇₂	C₂³	1	2	yes	—
125	C₂²×D₁₇₂	C₂³	1	2	yes	—
126	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
127	C₂²×D₁₇₂	C₂³	1	16	yes	complemented
128	C₂²×C₂²⋊D₄₃	—	2	32	no	—
129	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
130	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
131	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
132	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
133	C₂²×C₂²⋊D₄₃	C₂³	1	4	yes	—
134	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
135	C₂²×C₂²⋊D₄₃	C₂³	1	32	yes	complemented
136	C₂×D₄×D₄₃	—	2	16	no	—
137	C₂×D₄×D₄₃	C₂³	1	16	yes	—
138	C₂³×Dic₄₃	C₂³	1	4	yes	—
139	C₂²×C₄×D₄₃	—	2	32	no	—
140	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
141	C₂²×C₄×D₄₃	C₂³	1	4	yes	—
142	C₂²×C₄×D₄₃	C₂³	1	4	yes	—
143	C₂²×C₄×D₄₃	C₂³	1	4	yes	—
144	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
145	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
146	C₂²×C₄×D₄₃	C₂³	1	32	yes	complemented
147	#13063325	C₂³	1	8	yes	complemented
148	#13063324	C₂³	1	16	yes	complemented
149	#13063322	C₂³	1	8	yes	complemented
150	#13063321	C₂³	1	16	yes	complemented
151	#13063313	C₂³	1	16	yes	complemented
152	#13063311	C₂³	1	32	yes	complemented
153	#13063310	C₂³	1	32	yes	complemented
154	#13063308	C₂³	1	32	yes	complemented
155	#13063307	C₂³	1	32	yes	complemented
156	#13063304	C₂³	1	16	yes	complemented
157	#13063304	C₂³	1	16	yes	complemented
158	#13063303	C₂³	1	32	yes	complemented
159	#13063302	C₂³	1	32	yes	complemented
160	#13063300	C₂³	1	16	yes	complemented
161	#13063299	C₂³	1	16	yes	complemented
162	#13063299	C₂³	1	16	yes	complemented
163	#13063299	C₂³	1	16	yes	complemented
164	#13063299	C₂³	1	16	yes	complemented
165	#13063298	C₂³	1	32	yes	complemented
166	#13063298	C₂³	1	32	yes	complemented
167	#13063297	C₂³	1	32	yes	complemented
168	#13063296	C₂³	1	16	yes	complemented
169	#13063295	C₂³	1	32	yes	complemented
170	#13063294	C₂³	1	32	yes	complemented
171	#13063293	C₂³	1	32	yes	complemented
172	C₄×Dic₈₆	C₂³	1	8	yes	complemented
173	C₄×Dic₈₆	C₂³	1	8	yes	complemented
174	C₄×D₁₇₂	C₂³	1	8	yes	complemented
175	C₄×D₁₇₂	C₂³	1	16	yes	complemented
176	C₄×D₁₇₂	C₂³	1	8	yes	complemented
177	C₄×D₁₇₂	C₂³	1	16	yes	complemented
178	D₄×Dic₄₃	C₂³	1	16	yes	—
179	#13063287	C₂³	1	16	yes	complemented
180	C₄×C₂²⋊D₄₃	C₂³	1	32	yes	complemented
181	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
182	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
183	C₄×C₂²⋊D₄₃	C₂³	1	32	yes	complemented
184	(C₂²⋊D₄₃)⋊C₄	C₂³	1	32	yes	complemented
185	#13063284	C₂³	1	8	yes	complemented
186	#13063282	C₂³	1	16	yes	complemented
187	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
188	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
189	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
190	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
191	C₂×Dic₄₃⋊C₄	C₂³	1	4	yes	—
192	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
193	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
194	C₂×Dic₄₃⋊C₄	C₂³	1	4	yes	—
195	C₄⋊C₄×D₄₃	C₂³	1	16	yes	complemented
196	C₂×C₂²⋊Dic₄₃	C₂³	1	4	yes	—
197	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
198	C₂×C₂²⋊Dic₄₃	C₂³	1	4	yes	—
199	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
200	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
201	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
202	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
203	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
204	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	4	yes	—
205	C₂²⋊C₄×D₄₃	C₂³	1	32	yes	complemented
206	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
207	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
208	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
209	C₄²×D₄₃	C₂³	1	16	yes	complemented
210	C₂⁵×C₄₃	C₂³	1	2	yes	—
211	C₂²×D₄×C₄₃	—	2	8	no	—
212	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
213	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
214	C₂²×D₄×C₄₃	C₂³	1	8	yes	—
215	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
216	C₂³×C₄×C₄₃	—	2	16	no	—
217	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
218	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
219	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
220	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
221	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
222	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
223	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
224	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
225	C₂³×C₄×C₄₃	C₂³	1	16	yes	complemented
226	C₄×D₄×C₄₃	C₂³	1	8	yes	—
227	C₄×D₄×C₄₃	C₂³	1	8	yes	—
228	C₄×D₄×C₄₃	C₂³	1	8	yes	complemented
229	C₄×D₄×C₄₃	C₂³	1	16	yes	complemented
230	C₄×D₄×C₄₃	C₂³	1	16	yes	complemented
231	C₄×D₄×C₄₃	C₂³	1	8	yes	complemented
232	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
234	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
235	C₂×C₄⋊C₄×C₄₃	C₂³	1	8	yes	complemented
236	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
237	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
238	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
239	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
240	C₂×C₂²⋊C₄×C₄₃	C₂³	1	16	yes	complemented
241	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
242	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
243	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
244	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
245	C₂×C₄²×C₄₃	C₂³	1	8	yes	complemented
246	C₂⁴×C₄₃	—	2	8	no	—
247	C₂⁴×C₄₃	—	2	8	no	—
248	C₂⁴×C₄₃	—	4	4	no	—
249	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
250	C₂⁴×C₄₃	C₂⁴	1	8	yes	—
251	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
252	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
253	C₂³×D₄₃	—	2	16	no	—
254	C₂³×D₄₃	—	2	16	no	—
255	C₂³×D₄₃	—	4	8	no	—
256	C₂³×D₄₃	C₂⁴	1	4	yes	—
257	C₂³×D₄₃	C₂⁴	1	16	yes	—
258	C₂³×D₄₃	C₂⁴	1	2	yes	—
259	C₂×D₄×C₄₃	—	2	32	no	—
260	C₂×D₄×C₄₃	—	2	4	no	—
261	C₂×D₄×C₄₃	—	2	8	no	—
262	C₂×D₄×C₄₃	#41	1	8	yes	complemented
263	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
264	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
265	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
266	C₂²×C₄×C₄₃	—	2	8	no	—
267	C₂²×C₄×C₄₃	—	2	8	no	—
268	C₂²×C₄×C₄₃	—	2	8	no	—
269	C₂²×C₄×C₄₃	—	2	8	no	—
270	C₂²×C₄×C₄₃	—	2	64	no	—
271	C₂²×C₄×C₄₃	—	2	4	no	—
272	C₂²×C₄×C₄₃	—	2	8	no	—
273	C₂²×C₄×C₄₃	—	4	2	no	—
274	C₂²×C₄×C₄₃	C₂×D₄	1	8	yes	complemented
275	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
276	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
277	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
278	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
279	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
280	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
281	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
282	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
283	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
284	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
285	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
286	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
287	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
288	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
289	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
290	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
291	C₂×C₂²⋊D₄₃	—	2	128	no	—
292	C₂×C₂²⋊D₄₃	—	2	16	no	—
293	C₂×C₂²⋊D₄₃	—	2	16	no	—
294	C₂×C₂²⋊D₄₃	—	2	16	no	—
295	C₂×C₂²⋊D₄₃	—	2	16	no	—
296	C₂×C₂²⋊D₄₃	—	4	8	no	—
297	C₂×C₂²⋊D₄₃	C₂×D₄	1	16	yes	complemented
298	C₂×C₂²⋊D₄₃	C₂⁴	1	16	yes	—
299	C₂×C₂²⋊D₄₃	C₂⁴	1	16	yes	—
300	C₂×C₂²⋊D₄₃	C₂⁴	1	16	yes	—
301	C₂×C₂²⋊D₄₃	C₂⁴	1	16	yes	—
302	C₂×C₂²⋊D₄₃	C₂⁴	1	16	yes	—
303	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
304	C₂²×Dic₄₃	—	2	16	no	—
305	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
306	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
307	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
308	C₂²×Dic₄₃	C₂⁴	1	16	yes	—
309	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
310	D₄×D₄₃	—	2	64	no	—
311	#10621898	—	2	64	no	—
312	#10621898	—	2	128	no	—
313	#10621898	—	2	64	no	—
314	#10621898	—	2	128	no	—
315	#10621898	—	2	64	no	—
316	#10621898	C₂×D₄	1	64	yes	direct product factor
317	C₂×D₁₇₂	—	2	8	no	—
318	C₂×D₁₇₂	—	2	8	no	—
319	C₂×D₁₇₂	—	2	64	no	—
320	C₂×D₁₇₂	—	2	16	no	—
321	C₂×D₁₇₂	—	4	4	no	—
322	C₂×D₁₇₂	C₂×D₄	1	8	yes	complemented
323	C₂×D₁₇₂	C₂⁴	1	8	yes	—
324	C₂×D₁₇₂	C₂⁴	1	16	yes	—
325	C₂×D₁₇₂	C₂⁴	1	8	yes	—
326	C₂×D₁₇₂	C₂⁴	1	8	yes	—
327	C₂×D₁₇₂	C₂⁴	1	4	yes	—
328	C₂×C₄×D₄₃	—	2	16	no	—
329	C₂×C₄×D₄₃	—	2	8	no	—
330	C₂×C₄×D₄₃	—	2	16	no	—
331	C₂×C₄×D₄₃	—	2	128	no	—
332	C₂×C₄×D₄₃	—	2	16	no	—
333	C₂×C₄×D₄₃	—	4	4	no	—
334	C₂×C₄×D₄₃	C₂×D₄	1	16	yes	complemented
335	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
336	C₂×C₄×D₄₃	C₂⁴	1	16	yes	—
337	C₂×C₄×D₄₃	C₂⁴	1	16	yes	—
338	C₂×C₄×D₄₃	C₂⁴	1	16	yes	—
339	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
340	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
341	C₂×Dic₈₆	—	2	8	no	—
342	C₂×Dic₈₆	—	2	16	no	—
343	C₂×Dic₈₆	—	2	64	no	—
344	C₂×Dic₈₆	C₂×D₄	1	8	yes	complemented
345	C₂×Dic₈₆	C₂⁴	1	16	yes	—
346	C₂×Dic₈₆	C₂⁴	1	8	yes	—
347	C₂×Dic₈₆	C₂⁴	1	4	yes	—
348	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
349	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
350	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
351	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
352	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
353	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
354	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
355	C₄²×C₄₃	C₂⁴	1	4	yes	—
356	C₄²×C₄₃	C₂⁴	1	4	yes	—
357	C₄²×C₄₃	C₂⁴	1	4	yes	—
358	C₄²×C₄₃	C₂⁴	1	4	yes	—
359	C₂²⋊Dic₄₃	C₂⁴	1	16	yes	—
360	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
361	C₂²⋊Dic₄₃	C₂⁴	1	16	yes	—
362	(C₂×D₄₃)⋊C₄	C₂⁴	1	16	yes	—
363	(C₂×D₄₃)⋊C₄	C₂⁴	1	16	yes	—
364	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
365	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
366	(C₂×D₄₃)⋊C₄	C₂⁴	1	16	yes	—
367	(C₂×D₄₃)⋊C₄	C₂⁴	1	16	yes	—
368	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
369	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
370	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
371	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
372	Dic₄₃⋊C₄	C₂⁴	1	16	yes	—
373	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
374	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
375	Dic₄₃⋊C₄	C₂⁴	1	16	yes	—
376	C₄×Dic₄₃	C₂⁴	1	8	yes	—
377	C₄×Dic₄₃	C₂⁴	1	8	yes	—
378	C₄×Dic₄₃	C₂⁴	1	8	yes	—
379	C₂³×C₄₃	—	2	4	no	—
380	C₂³×C₄₃	—	2	2	no	—
381	C₂³×C₄₃	—	2	2	no	—
382	C₂³×C₄₃	—	2	4	no	—
383	C₂³×C₄₃	—	2	16	no	—
384	C₂³×C₄₃	—	2	4	no	—
385	C₂³×C₄₃	—	2	4	no	—
386	C₂³×C₄₃	—	2	16	no	—
387	C₂³×C₄₃	—	2	4	no	—
388	C₂³×C₄₃	—	4	8	no	—
389	C₂³×C₄₃	—	4	32	no	—
390	C₂³×C₄₃	C₂²×D₄	1	4	yes	—
391	C₂³×C₄₃	C₂×#41	1	8	yes	complemented
392	C₂³×C₄₃	C₂⁵	1	4	yes	—
393	C₂³×C₄₃	C₂⁵	1	2	yes	—
394	C₂³×C₄₃	C₂⁵	1	4	yes	—
395	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
396	C₂²×D₄₃	—	2	4	no	—
397	C₂²×D₄₃	—	2	4	no	—
398	C₂²×D₄₃	—	2	8	no	—
399	C₂²×D₄₃	—	2	8	no	—
400	C₂²×D₄₃	—	2	32	no	—
401	C₂²×D₄₃	—	2	8	no	—
402	C₂²×D₄₃	—	2	32	no	—
403	C₂²×D₄₃	—	4	16	no	—
404	C₂²×D₄₃	—	4	64	no	—
405	C₂²×D₄₃	C₂²×D₄	1	8	yes	—
406	C₂²×D₄₃	C₂⁵	1	8	yes	—
407	C₂²×D₄₃	C₂⁵	1	4	yes	—
408	D₄×C₄₃	—	2	16	no	—
409	D₄×C₄₃	—	2	8	no	—
410	D₄×C₄₃	C₂×#41	1	16	yes	complemented
411	C₂×C₄×C₄₃	—	2	4	no	—
412	C₂×C₄×C₄₃	—	2	4	no	—
413	C₂×C₄×C₄₃	—	2	16	no	—
414	C₂×C₄×C₄₃	—	2	2	no	—
415	C₂×C₄×C₄₃	—	2	2	no	—
416	C₂×C₄×C₄₃	—	2	2	no	—
417	C₂×C₄×C₄₃	—	2	16	no	—
418	C₂×C₄×C₄₃	—	2	16	no	—
419	C₂×C₄×C₄₃	—	2	16	no	—
420	C₂×C₄×C₄₃	—	2	16	no	—
421	C₂×C₄×C₄₃	—	2	8	no	—
422	C₂×C₄×C₄₃	—	4	4	no	—
423	C₂×C₄×C₄₃	C₂²×D₄	1	4	yes	—
424	C₂×C₄×C₄₃	C₂²×D₄	1	4	yes	—
425	C₂×C₄×C₄₃	C₂²×D₄	1	16	yes	complemented
426	C₂×C₄×C₄₃	C₂×#41	1	4	yes	complemented
427	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
428	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
429	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
430	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
431	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
432	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
433	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
434	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
435	C₂²⋊D₄₃	—	2	32	no	—
436	C₂²⋊D₄₃	—	2	32	no	—
437	C₂²⋊D₄₃	—	2	32	no	—
438	C₂²⋊D₄₃	—	2	32	no	—
439	C₂²⋊D₄₃	—	4	16	no	—
440	C₂²⋊D₄₃	C₂²×D₄	1	32	yes	complemented
441	C₂×Dic₄₃	—	2	8	no	—
442	C₂×Dic₄₃	—	2	4	no	—
443	C₂×Dic₄₃	—	2	4	no	—
444	C₂×Dic₄₃	—	2	32	no	—
445	C₂×Dic₄₃	C₂²×D₄	1	8	yes	—
446	C₂×Dic₄₃	C₂⁵	1	4	yes	—
447	C₂×Dic₄₃	C₂⁵	1	4	yes	—
448	C₂×Dic₄₃	C₂⁵	1	8	yes	—
449	C₂×Dic₄₃	C₂⁵	1	4	yes	—
450	D₁₇₂	—	2	32	no	—
451	D₁₇₂	—	2	16	no	—
452	D₁₇₂	—	2	16	no	—
453	D₁₇₂	—	4	8	no	—
454	D₁₇₂	C₂²×D₄	1	16	yes	complemented
455	C₄×D₄₃	—	2	32	no	—
456	C₄×D₄₃	—	2	32	no	—
457	C₄×D₄₃	—	2	16	no	—
458	C₄×D₄₃	—	2	32	no	—
459	C₄×D₄₃	—	4	8	no	—
460	C₄×D₄₃	C₂²×D₄	1	32	yes	complemented
461	Dic₈₆	—	2	16	no	—
462	Dic₈₆	—	2	32	no	—
463	Dic₈₆	C₂²×D₄	1	16	yes	complemented
464	C₂×D₄×#41	—	43	1	no	maximal, Sylow
465	C₂²×C₄₃	—	2	4	no	—
466	C₂²×C₄₃	—	2	2	no	—
467	C₂²×C₄₃	—	2	4	no	—
468	C₂²×C₄₃	—	2	2	no	—
469	C₂²×C₄₃	—	2	16	no	—
470	C₂²×C₄₃	—	2	8	no	—
471	C₂²×C₄₃	—	2	4	no	—
472	C₂²×C₄₃	—	2	4	no	—
473	C₂²×C₄₃	—	2	4	no	—
474	C₂²×C₄₃	—	4	32	no	—
475	C₂²×C₄₃	—	4	8	no	—
476	C₂²×C₄₃	C₂³×D₄	1	4	yes	—
477	C₂²×C₄₃	C₂³×D₄	1	2	yes	—
478	C₂²×C₄₃	C₂²×#41	1	2	yes	—
479	C₂²×C₄₃	C₂²×#41	1	8	yes	complemented
480	C₂²×C₄₃	#585	1	2	yes	—
481	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
482	C₂×D₄₃	—	2	4	no	—
483	C₂×D₄₃	—	2	4	no	—
484	C₂×D₄₃	—	2	16	no	—
485	C₂×D₄₃	—	2	8	no	—
486	C₂×D₄₃	—	2	8	no	—
487	C₂×D₄₃	—	2	8	no	—
488	C₂×D₄₃	—	4	64	no	—
489	C₂×D₄₃	—	4	16	no	—
490	C₂×D₄₃	C₂³×D₄	1	8	yes	—
491	C₄×C₄₃	—	2	4	no	—
492	C₄×C₄₃	—	2	4	no	—
493	C₄×C₄₃	—	2	2	no	—
494	C₄×C₄₃	—	2	2	no	—
495	C₄×C₄₃	—	2	2	no	—
496	C₄×C₄₃	C₂³×D₄	1	4	yes	—
497	C₄×C₄₃	C₂³×D₄	1	4	yes	—
498	C₄×C₄₃	C₂²×#41	1	4	yes	complemented
499	Dic₄₃	—	2	8	no	—
500	Dic₄₃	—	2	4	no	—
501	Dic₄₃	—	2	4	no	—
502	Dic₄₃	C₂³×D₄	1	8	yes	—
503	C₂³×#41	—	43	2	no	—
504	D₄×#41	—	43	32	no	—
505	C₂×#550	—	43	1	no	—
506	C₂×D₄×Q₈	—	43	1	no	—
507	C₂×#548	—	43	2	no	—
508	C₂×#547	—	43	1	no	—
509	C₂×#547	—	43	2	no	—
510	C₂×#546	—	43	2	no	—
511	C₂×#546	—	43	4	no	—
512	C₂×D₄²	—	43	2	no	—
513	C₂×D₄²	—	43	1	no	—
514	C₂×#532	—	43	1	no	—
515	C₂×#532	—	43	2	no	—
516	C₂×#525	—	43	2	no	—
517	C₂×#525	—	43	4	no	—
518	C₂×C₄×#41	—	43	1	no	—
519	C₂²×C₄×D₄	—	43	2	no	—
520	C₂²×C₄×D₄	D₄₃	1	1	yes	characteristic, complemented
521	C₂×C₄₃	—	2	8	no	—
522	C₂×C₄₃	—	2	4	no	—
523	C₂×C₄₃	—	4	4	no	—
524	C₂×C₄₃	D₄×#41	1	4	yes	complemented
525	C₂×C₄₃	C₂⁴×D₄	1	1	yes	characteristic
526	C₂×C₄₃	C₂³×#41	1	1	yes	characteristic
527	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
528	D₄₃	—	2	8	no	—
529	D₄₃	—	4	8	no	—
530	C₂²×#41	—	43	1	no	—
531	C₂²×#41	—	43	4	no	—
532	C₂²×#41	—	43	2	no	—
533	C₂²×#41	—	43	2	no	—
534	C₂²×#41	—	43	4	no	—
535	C₂²×#41	—	43	2	no	—
536	C₂²×#41	—	43	32	no	—
537	C₂²×#41	—	86	32	no	—
538	C₂³×Q₈	—	43	2	no	—
539	C₂³×D₄	—	43	4	no	—
540	C₂³×D₄	—	43	2	no	—
541	C₂³×D₄	—	43	2	no	—
542	C₂³×D₄	C₂×D₄₃	1	1	yes	characteristic
543	C₂⁴×C₄	—	43	4	no	—
544	C₂⁴×C₄	C₂×D₄₃	1	2	yes	complemented
545	#550	—	43	16	no	—
546	D₄×Q₈	—	43	16	no	—
547	#548	—	43	32	no	—
548	#547	—	43	16	no	—
549	#547	—	43	32	no	—
550	#546	—	43	32	no	—
551	#546	—	43	64	no	—
552	D₄²	—	43	32	no	—
553	D₄²	—	43	16	no	—
554	#532	—	43	32	no	—
555	#532	—	43	16	no	—
556	C₂×C₄⋊Q₈	—	43	2	no	—
557	C₂×C₄⋊Q₈	—	43	1	no	—
558	C₂×#127	—	43	2	no	—
559	C₂×#127	—	43	1	no	—
560	C₂×#124	—	43	4	no	—
561	C₂×#124	—	43	2	no	—
562	#525	—	43	32	no	—
563	#525	—	43	64	no	—
564	C₂×#123	—	43	4	no	—
565	C₂×#123	—	43	4	no	—
566	C₂×#123	—	43	4	no	—
567	C₂×C₂²⋊Q₈	—	43	2	no	—
568	C₂×C₂²⋊Q₈	—	43	2	no	—
569	C₂×C₂²⋊Q₈	—	43	4	no	—
570	C₂×C₂²⋊Q₈	—	43	4	no	—
571	C₂×#121	—	43	2	no	—
572	C₂×#121	—	43	4	no	—
573	C₂×#121	—	43	2	no	—
574	C₂×#121	—	43	2	no	—
575	C₂×#121	—	43	2	no	—
576	C₂×#121	—	43	2	no	—
577	C₂×#121	—	43	2	no	—
578	C₂×#121	—	43	4	no	—
579	C₂×#121	—	43	4	no	—
580	C₂×#120	—	43	4	no	—
581	C₂×#120	—	43	4	no	—
582	C₂×#120	—	43	4	no	—
583	C₄×#41	—	43	16	no	—
584	C₂×C₄×Q₈	—	43	1	no	—
585	C₂×C₄×Q₈	—	43	1	no	—
586	C₂×C₄×D₄	—	43	2	no	—
587	C₂×C₄×D₄	—	43	4	no	—
588	C₂×C₄×D₄	—	43	2	no	—
589	C₂×C₄×D₄	—	43	2	no	—
590	C₂×C₄×D₄	—	43	4	no	—
591	C₂×C₄×D₄	—	43	32	no	—
592	C₂×C₄×D₄	—	43	2	no	—
593	C₂×C₄×D₄	—	43	4	no	—
594	C₂×C₄×D₄	—	43	2	no	—
595	C₂×C₄×D₄	—	43	1	no	—
596	C₂×C₄×D₄	—	43	1	no	—
597	C₂×C₄×D₄	—	43	2	no	—
598	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
599	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
600	C₂×C₄×D₄	C₂×D₄₃	1	2	yes	complemented
601	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic, complemented
602	C₂×C₄×D₄	C₂×D₄₃	1	2	yes	complemented
603	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic, complemented
604	C₂×C₄×D₄	C₂×D₄₃	1	16	yes	complemented
605	C₂×#117	—	43	1	no	—
606	C₂×#117	—	43	2	no	—
607	C₂²×C₄⋊C₄	—	43	2	no	—
608	C₂²×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
609	C₂²×C₂²⋊C₄	—	43	4	no	—
610	C₂²×C₂²⋊C₄	C₂×D₄₃	1	2	yes	complemented
611	C₂²×C₄²	—	43	2	no	—
612	C₂²×C₄²	C₂×D₄₃	1	1	yes	characteristic, complemented
613	C₄₃	C₂×D₄×#41	1	1	yes	characteristic, complemented, Sylow
614	C₂⁵	—	43	4	no	—
615	C₂⁵	C₂²×D₄₃	1	2	yes	—
616	C₂×#41	—	43	16	no	—
617	C₂×#41	—	43	8	no	—
618	C₂×#41	—	43	32	no	—
619	C₂×#41	—	43	16	no	—
620	C₂×#41	—	43	16	no	—
621	C₂×#41	—	43	32	no	—
622	C₂×#41	—	43	16	no	—
623	C₂×#41	—	86	32	no	—
624	C₂×#41	—	86	32	no	—
625	C₂×#41	—	86	16	no	—
626	C₂×#41	—	86	16	no	—
627	C₂×#41	—	86	256	no	—
628	C₂×#41	—	86	16	no	—
629	C₂²×Q₈	—	43	1	no	—
630	C₂²×Q₈	—	43	4	no	—
631	C₂²×Q₈	—	43	2	no	—
632	C₂²×Q₈	—	43	16	no	—
633	C₂²×Q₈	—	86	16	no	—
634	C₂²×D₄	—	2	8	no	—
635	C₂²×D₄	—	43	2	no	—
636	C₂²×D₄	—	43	4	no	—
637	C₂²×D₄	—	43	4	no	—
638	C₂²×D₄	—	43	4	no	—
639	C₂²×D₄	—	43	4	no	—
640	C₂²×D₄	—	43	32	no	—
641	C₂²×D₄	—	43	4	no	—
642	C₂²×D₄	—	43	16	no	—
643	C₂²×D₄	—	43	1	no	—
644	C₂²×D₄	—	43	2	no	—
645	C₂²×D₄	—	43	4	no	—
646	C₂²×D₄	—	43	2	no	—
647	C₂²×D₄	—	43	16	no	—
648	C₂²×D₄	—	43	2	no	—
649	C₂²×D₄	—	86	16	no	—
650	C₂²×D₄	—	86	32	no	—
651	C₂²×D₄	—	86	16	no	—
652	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
653	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
654	C₂²×D₄	C₂²×D₄₃	1	8	yes	—
655	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
656	C₂³×C₄	—	2	16	no	—
657	C₂³×C₄	—	43	2	no	—
658	C₂³×C₄	—	43	4	no	—
659	C₂³×C₄	—	43	4	no	—
660	C₂³×C₄	—	43	2	no	—
661	C₂³×C₄	—	43	4	no	—
662	C₂³×C₄	—	43	32	no	—
663	C₂³×C₄	—	43	4	no	—
664	C₂³×C₄	—	43	2	no	—
665	C₂³×C₄	—	86	32	no	—
666	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
667	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
668	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
669	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
670	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
671	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
672	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
673	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
674	C₂³×C₄	C₂²×D₄₃	1	16	yes	complemented
675	C₄⋊Q₈	—	43	16	no	—
676	C₄⋊Q₈	—	43	8	no	—
677	#127	—	43	16	no	—
678	#127	—	43	8	no	—
679	#124	—	43	32	no	—
680	#124	—	43	16	no	—
681	#123	—	43	32	no	—
682	#123	—	43	32	no	—
683	#123	—	43	32	no	—
684	C₂²⋊Q₈	—	43	16	no	—
685	C₂²⋊Q₈	—	43	16	no	—
686	C₂²⋊Q₈	—	43	32	no	—
687	C₂²⋊Q₈	—	43	32	no	—
688	#121	—	43	32	no	—
689	#121	—	43	16	no	—
690	#121	—	43	16	no	—
691	#121	—	43	16	no	—
692	#121	—	43	16	no	—
693	#121	—	43	16	no	—
694	#121	—	43	16	no	—
695	#121	—	43	32	no	—
696	#121	—	43	32	no	—
697	#120	—	43	32	no	—
698	#120	—	43	32	no	—
699	#120	—	43	32	no	—
700	C₄×Q₈	—	43	8	no	—
701	C₄×Q₈	—	43	8	no	—
702	C₄×D₄	—	43	16	no	—
703	C₄×D₄	—	43	32	no	—
704	C₄×D₄	—	43	16	no	—
705	C₄×D₄	—	43	16	no	—
706	C₄×D₄	—	43	32	no	—
707	C₄×D₄	—	43	16	no	—
708	C₄×D₄	—	43	32	no	—
709	C₄×D₄	—	43	16	no	—
710	C₄×D₄	—	43	8	no	—
711	C₄×D₄	—	43	8	no	—
712	C₄×D₄	—	43	16	no	—
713	C₄×D₄	C₂²×D₄₃	1	8	yes	—
714	C₄×D₄	C₂²×D₄₃	1	8	yes	—
715	C₄×D₄	C₂²×D₄₃	1	16	yes	complemented
716	C₄×D₄	C₂²×D₄₃	1	8	yes	complemented
717	C₄×D₄	C₂²×D₄₃	1	16	yes	complemented
718	C₄×D₄	C₂²×D₄₃	1	8	yes	complemented
719	#117	—	43	8	no	—
720	#117	—	43	16	no	—
721	C₂×C₄⋊C₄	—	43	2	no	—
722	C₂×C₄⋊C₄	—	43	4	no	—
723	C₂×C₄⋊C₄	—	43	2	no	—
724	C₂×C₄⋊C₄	—	43	2	no	—
725	C₂×C₄⋊C₄	—	43	1	no	—
726	C₂×C₄⋊C₄	—	43	1	no	—
727	C₂×C₄⋊C₄	—	43	4	no	—
728	C₂×C₄⋊C₄	—	43	2	no	—
729	C₂×C₄⋊C₄	—	43	16	no	—
730	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
731	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
732	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
733	C₂×C₄⋊C₄	C₂²×D₄₃	1	8	yes	complemented
734	C₂×C₂²⋊C₄	—	43	4	no	—
735	C₂×C₂²⋊C₄	—	43	2	no	—
736	C₂×C₂²⋊C₄	—	43	4	no	—
737	C₂×C₂²⋊C₄	—	43	4	no	—
738	C₂×C₂²⋊C₄	—	43	4	no	—
739	C₂×C₂²⋊C₄	—	43	2	no	—
740	C₂×C₂²⋊C₄	—	43	2	no	—
741	C₂×C₂²⋊C₄	—	43	4	no	—
742	C₂×C₂²⋊C₄	—	43	4	no	—
743	C₂×C₂²⋊C₄	—	43	32	no	—
744	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
745	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
746	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
747	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
748	C₂×C₂²⋊C₄	C₂²×D₄₃	1	16	yes	complemented
749	C₂×C₄²	—	43	2	no	—
750	C₂×C₄²	—	43	2	no	—
751	C₂×C₄²	—	43	2	no	—
752	C₂×C₄²	—	43	16	no	—
753	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
754	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
755	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
756	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
757	C₂×C₄²	C₂²×D₄₃	1	8	yes	complemented
758	C₂⁴	—	2	8	no	—
759	C₂⁴	—	2	8	no	—
760	C₂⁴	—	4	4	no	—
761	C₂⁴	—	43	2	no	—
762	C₂⁴	—	43	4	no	—
763	C₂⁴	—	43	16	no	—
764	C₂⁴	—	86	16	no	—
765	C₂⁴	—	86	16	no	—
766	C₂⁴	—	172	8	no	—
767	C₂⁴	C₂³×D₄₃	1	2	yes	—
768	C₂⁴	C₂³×D₄₃	1	8	yes	—
769	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
770	C₂⁴	C₂³×D₄₃	1	2	yes	—
771	#41	—	43	64	no	—
772	#41	—	86	128	no	—
773	#41	—	86	128	no	—
774	#41	—	86	64	no	—
775	#41	—	86	64	no	—
776	#41	—	86	64	no	—
777	C₂×Q₈	—	43	8	no	—
778	C₂×Q₈	—	43	4	no	—
779	C₂×Q₈	—	43	16	no	—
780	C₂×Q₈	—	43	8	no	—
781	C₂×Q₈	—	86	16	no	—
782	C₂×Q₈	—	86	64	no	—
783	C₂×Q₈	—	86	8	no	—
784	C₂×D₄	—	2	8	no	—
785	C₂×D₄	—	2	32	no	—
786	C₂×D₄	—	2	4	no	—
787	C₂×D₄	—	43	16	no	—
788	C₂×D₄	—	43	8	no	—
789	C₂×D₄	—	43	16	no	—
790	C₂×D₄	—	43	16	no	—
791	C₂×D₄	—	43	16	no	—
792	C₂×D₄	—	43	16	no	—
793	C₂×D₄	—	43	16	no	—
794	C₂×D₄	—	43	8	no	—
795	C₂×D₄	—	43	4	no	—
796	C₂×D₄	—	43	8	no	—
797	C₂×D₄	—	43	16	no	—
798	C₂×D₄	—	43	8	no	—
799	C₂×D₄	—	43	8	no	—
800	C₂×D₄	—	86	64	no	—
801	C₂×D₄	—	86	16	no	—
802	C₂×D₄	—	86	16	no	—
803	C₂×D₄	—	86	128	no	—
804	C₂×D₄	—	86	16	no	—
805	C₂×D₄	—	86	16	no	—
806	C₂×D₄	—	86	16	no	—
807	C₂×D₄	—	86	64	no	—
808	C₂×D₄	—	86	8	no	—
809	C₂×D₄	—	86	8	no	—
810	C₂×D₄	—	172	4	no	—
811	C₂×D₄	—	172	8	no	—
812	C₂×D₄	#10621898	1	8	yes	direct product factor
813	C₂×D₄	C₂³×D₄₃	1	8	yes	—
814	C₂×D₄	C₂³×D₄₃	1	4	yes	—
815	C₂×D₄	C₂³×D₄₃	1	4	yes	—
816	C₂²×C₄	—	2	8	no	—
817	C₂²×C₄	—	2	8	no	—
818	C₂²×C₄	—	2	8	no	—
819	C₂²×C₄	—	2	8	no	—
820	C₂²×C₄	—	2	8	no	—
821	C₂²×C₄	—	2	64	no	—
822	C₂²×C₄	—	2	4	no	—
823	C₂²×C₄	—	4	2	no	—
824	C₂²×C₄	—	43	2	no	—
825	C₂²×C₄	—	43	16	no	—
826	C₂²×C₄	—	43	8	no	—
827	C₂²×C₄	—	43	2	no	—
828	C₂²×C₄	—	43	2	no	—
829	C₂²×C₄	—	43	4	no	—
830	C₂²×C₄	—	43	16	no	—
831	C₂²×C₄	—	43	8	no	—
832	C₂²×C₄	—	43	16	no	—
833	C₂²×C₄	—	43	16	no	—
834	C₂²×C₄	—	43	16	no	—
835	C₂²×C₄	—	43	8	no	—
836	C₂²×C₄	—	86	16	no	—
837	C₂²×C₄	—	86	128	no	—
838	C₂²×C₄	—	86	16	no	—
839	C₂²×C₄	—	86	16	no	—
840	C₂²×C₄	—	86	16	no	—
841	C₂²×C₄	—	86	8	no	—
842	C₂²×C₄	—	172	4	no	—
843	C₂²×C₄	D₄×D₄₃	1	8	yes	complemented
844	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
845	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
846	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
847	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
848	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
849	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
850	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
851	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
852	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
853	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
854	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
855	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
856	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
857	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
858	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
859	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
860	C₄⋊C₄	—	43	8	no	—
861	C₄⋊C₄	—	43	16	no	—
862	C₄⋊C₄	—	43	8	no	—
863	C₄⋊C₄	—	43	8	no	—
864	C₄⋊C₄	—	43	4	no	—
865	C₄⋊C₄	—	43	4	no	—
866	C₄⋊C₄	—	43	16	no	—
867	C₄⋊C₄	—	43	8	no	—
868	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
869	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
870	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
871	C₂²⋊C₄	—	43	16	no	—
872	C₂²⋊C₄	—	43	8	no	—
873	C₂²⋊C₄	—	43	16	no	—
874	C₂²⋊C₄	—	43	16	no	—
875	C₂²⋊C₄	—	43	16	no	—
876	C₂²⋊C₄	—	43	8	no	—
877	C₂²⋊C₄	—	43	8	no	—
878	C₂²⋊C₄	—	43	16	no	—
879	C₂²⋊C₄	—	43	16	no	—
880	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
881	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
882	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
883	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
884	C₄²	—	43	8	no	—
885	C₄²	—	43	8	no	—
886	C₄²	—	43	8	no	—
887	C₄²	C₂³×D₄₃	1	4	yes	—
888	C₄²	C₂³×D₄₃	1	4	yes	—
889	C₄²	C₂³×D₄₃	1	4	yes	—
890	C₄²	C₂³×D₄₃	1	4	yes	—
891	C₂³	—	2	4	no	—
892	C₂³	—	2	2	no	—
893	C₂³	—	2	2	no	—
894	C₂³	—	2	4	no	—
895	C₂³	—	2	16	no	—
896	C₂³	—	2	4	no	—
897	C₂³	—	2	4	no	—
898	C₂³	—	2	16	no	—
899	C₂³	—	2	4	no	—
900	C₂³	—	4	8	no	—
901	C₂³	—	4	32	no	—
902	C₂³	—	43	8	no	—
903	C₂³	—	43	4	no	—
904	C₂³	—	43	8	no	—
905	C₂³	—	86	32	no	—
906	C₂³	—	86	4	no	—
907	C₂³	—	86	4	no	—
908	C₂³	—	86	8	no	—
909	C₂³	—	86	8	no	—
910	C₂³	—	86	32	no	—
911	C₂³	—	86	8	no	—
912	C₂³	—	172	16	no	—
913	C₂³	—	172	64	no	—
914	C₂³	C₂×D₄×D₄₃	1	4	yes	—
915	C₂³	C₂×#10621898	1	8	yes	complemented
916	C₂³	C₂⁴×D₄₃	1	4	yes	—
917	C₂³	C₂⁴×D₄₃	1	2	yes	—
918	C₂³	C₂⁴×D₄₃	1	4	yes	—
919	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
920	Q₈	—	43	16	no	—
921	Q₈	—	86	32	no	—
922	Q₈	—	86	16	no	—
923	D₄	—	2	16	no	—
924	D₄	—	2	8	no	—
925	D₄	—	43	32	no	—
926	D₄	—	43	16	no	—
927	D₄	—	86	32	no	—
928	D₄	—	86	32	no	—
929	D₄	—	86	32	no	—
930	D₄	—	86	32	no	—
931	D₄	—	86	32	no	—
932	D₄	—	86	16	no	—
933	D₄	—	86	16	no	—
934	D₄	—	172	8	no	—
935	D₄	—	172	16	no	—
936	D₄	C₂×#10621898	1	16	yes	direct product factor
937	C₂×C₄	—	2	4	no	—
938	C₂×C₄	—	2	4	no	—
939	C₂×C₄	—	2	16	no	—
940	C₂×C₄	—	2	2	no	—
941	C₂×C₄	—	2	2	no	—
942	C₂×C₄	—	2	2	no	—
943	C₂×C₄	—	2	16	no	—
944	C₂×C₄	—	2	16	no	—
945	C₂×C₄	—	2	16	no	—
946	C₂×C₄	—	2	16	no	—
947	C₂×C₄	—	2	8	no	—
948	C₂×C₄	—	4	4	no	—
949	C₂×C₄	—	43	8	no	—
950	C₂×C₄	—	43	4	no	—
951	C₂×C₄	—	43	32	no	—
952	C₂×C₄	—	43	4	no	—
953	C₂×C₄	—	43	4	no	—
954	C₂×C₄	—	43	8	no	—
955	C₂×C₄	—	86	32	no	—
956	C₂×C₄	—	86	32	no	—
957	C₂×C₄	—	86	32	no	—
958	C₂×C₄	—	86	8	no	—
959	C₂×C₄	—	86	4	no	—
960	C₂×C₄	—	86	4	no	—
961	C₂×C₄	—	86	32	no	—
962	C₂×C₄	—	86	16	no	—
963	C₂×C₄	—	172	8	no	—
964	C₂×C₄	C₂×D₄×D₄₃	1	4	yes	—
965	C₂×C₄	C₂×D₄×D₄₃	1	4	yes	—
966	C₂×C₄	C₂×D₄×D₄₃	1	16	yes	complemented
967	C₂×C₄	C₂×#10621898	1	4	yes	complemented
968	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
969	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
970	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
971	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
972	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
973	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
974	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
975	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
976	C₂²	—	2	8	no	—
977	C₂²	—	2	16	no	—
978	C₂²	—	2	4	no	—
979	C₂²	—	2	2	no	—
980	C₂²	—	2	2	no	—
981	C₂²	—	2	4	no	—
982	C₂²	—	2	4	no	—
983	C₂²	—	2	4	no	—
984	C₂²	—	2	4	no	—
985	C₂²	—	4	32	no	—
986	C₂²	—	4	8	no	—
987	C₂²	—	43	8	no	—
988	C₂²	—	86	16	no	—
989	C₂²	—	86	4	no	—
990	C₂²	—	86	4	no	—
991	C₂²	—	86	8	no	—
992	C₂²	—	86	8	no	—
993	C₂²	—	86	8	no	—
994	C₂²	—	172	64	no	—
995	C₂²	—	172	16	no	—
996	C₂²	C₂²×D₄×D₄₃	1	4	yes	—
997	C₂²	C₂²×D₄×D₄₃	1	2	yes	—
998	C₂²	C₂²×#10621898	1	2	yes	—
999	C₂²	C₂²×#10621898	1	8	yes	complemented
1000	C₂²	#14583735	1	2	yes	—
1001	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1002	C₄	—	2	4	no	—
1003	C₄	—	2	4	no	—
1004	C₄	—	2	2	no	—
1005	C₄	—	2	2	no	—
1006	C₄	—	2	2	no	—
1007	C₄	—	43	8	no	—
1008	C₄	—	86	8	no	—
1009	C₄	—	86	4	no	—
1010	C₄	—	86	4	no	—
1011	C₄	C₂²×D₄×D₄₃	1	4	yes	—
1012	C₄	C₂²×D₄×D₄₃	1	4	yes	—
1013	C₄	C₂²×#10621898	1	4	yes	complemented
1014	C₂	—	2	4	no	—
1015	C₂	—	2	8	no	—
1016	C₂	—	4	4	no	—
1017	C₂	—	86	8	no	—
1018	C₂	—	172	8	no	—
1019	C₂	D₄×#10621898	1	4	yes	direct product factor
1020	C₂	C₂³×D₄×D₄₃	1	1	yes	characteristic
1021	C₂	C₂³×#10621898	1	1	yes	characteristic
1022	C₂	C₂×#14583735	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₄₃
commutator, cosocle	C₂²×C₄₃	C₂⁶
Frattini	C₂²	C₂⁵×D₄₃
Fitting	C₂²×C₄×D₄×C₄₃	C₂
socle	C₂³×C₄₃	C₂⁵
hypercenter	C₂²×C₄×D₄	D₄₃
hypocenter	C₄₃	C₂×D₄×#41
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₂²×C₄×D₄

Complements

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

N	H ≅ G/N	type
1. C₂³×#10621898	C₂	semidirect
2. D₄×#10621898	C₂	direct (N × H)
3. C₂×#14583570	C₂	semidirect
4. C₂×D₄×Dic₈₆	C₂	semidirect
5. C₂×#14583558	C₂	semidirect
6. C₂×#14583554	C₂	semidirect
7. C₂×#14583550	C₂	semidirect
8. C₂×#14583545	C₂	semidirect
9. C₂×#14583539	C₂	semidirect
10. C₂×D₄×D₁₇₂	C₂	semidirect
11. C₂×D₄×C₂²⋊D₄₃	C₂	semidirect
12. C₂×#14583449	C₂	semidirect
13. C₂×#14583446	C₂	semidirect
14. C₂×#14583410	C₂	semidirect
15. C₂×#14583408	C₂	semidirect
16. C₂×C₄×#10621898	C₂	semidirect
17. C₂×C₄×D₄×D₄₃	C₂	semidirect
18. C₂²×C₄×D₄×C₄₃	C₂	semidirect
21. C₂²×#10621898	C₂²	semidirect
22. C₂²×#10621898	C₂²	semidirect
23. C₂²×#10621898	C₂²	semidirect
24. C₂²×#10621898	C₂²	semidirect
25. C₂²×#10621898	C₂²	semidirect
26. C₂²×#10621898	C₂²	semidirect
27. C₂³×Dic₈₆	C₂²	semidirect
28. C₂³×D₁₇₂	C₂²	semidirect
29. C₂³×C₂²⋊D₄₃	C₂²	semidirect
31. C₂³×C₄×D₄₃	C₂²	semidirect
32. #14583570	C₂²	semidirect
33. D₄×Dic₈₆	C₂²	semidirect
34. #14583558	C₂²	semidirect
35. #14583554	C₂²	semidirect
36. #14583550	C₂²	semidirect
37. #14583545	C₂²	semidirect
38. #14583539	C₂²	semidirect
39. D₄×D₁₇₂	C₂²	semidirect
40. D₄×C₂²⋊D₄₃	C₂²	semidirect
41. #14583449	C₂²	semidirect
42. #14583446	C₂²	semidirect
43. C₂×#13063325	C₂²	semidirect
44. C₂×#13063324	C₂²	semidirect
45. C₂×#13063322	C₂²	semidirect
46. C₂×#13063321	C₂²	semidirect
47. C₂×#13063313	C₂²	semidirect
48. C₂×#13063311	C₂²	semidirect
49. #14583410	C₂²	semidirect
50. #14583408	C₂²	semidirect
51. C₂×#13063310	C₂²	semidirect
52. C₂×#13063308	C₂²	semidirect
53. C₂×#13063307	C₂²	semidirect
54. C₂×#13063304	C₂²	semidirect
55. C₂×#13063304	C₂²	semidirect
56. C₂×#13063303	C₂²	semidirect
57. C₂×#13063302	C₂²	semidirect
58. C₂×#13063300	C₂²	semidirect
59. C₂×#13063299	C₂²	semidirect
60. C₂×#13063299	C₂²	semidirect
61. C₂×#13063299	C₂²	semidirect
62. C₂×#13063299	C₂²	semidirect
63. C₂×#13063298	C₂²	semidirect
64. C₂×#13063298	C₂²	semidirect
65. C₂×#13063297	C₂²	semidirect
66. C₂×#13063296	C₂²	semidirect
67. C₂×#13063295	C₂²	semidirect
68. C₂×#13063294	C₂²	semidirect
69. C₂×#13063293	C₂²	semidirect
70. C₄×#10621898	C₂²	semidirect
71. C₂×C₄×Dic₈₆	C₂²	semidirect
72. C₂×C₄×Dic₈₆	C₂²	semidirect
73. C₂×C₄×D₁₇₂	C₂²	semidirect
74. C₂×C₄×D₁₇₂	C₂²	semidirect
75. C₂×C₄×D₁₇₂	C₂²	semidirect
76. C₂×C₄×D₁₇₂	C₂²	semidirect
78. C₂×#13063287	C₂²	semidirect
79. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
80. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
81. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
82. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
83. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
84. C₄×D₄×D₄₃	C₂²	semidirect
85. C₂×#13063284	C₂²	semidirect
86. C₂×#13063282	C₂²	semidirect
87. C₂×C₄⋊C₄×D₄₃	C₂²	semidirect
88. C₂×C₂²⋊C₄×D₄₃	C₂²	semidirect
89. C₂×C₄²×D₄₃	C₂²	semidirect
91. C₂⁴×C₄×C₄₃	C₂²	semidirect
94. C₂×C₄×D₄×C₄₃	C₂²	semidirect
95. C₂×C₄×D₄×C₄₃	C₂²	semidirect
96. C₂×C₄×D₄×C₄₃	C₂²	semidirect
97. C₂×C₄×D₄×C₄₃	C₂²	semidirect
98. C₂×C₄×D₄×C₄₃	C₂²	semidirect
99. C₂²×C₄⋊C₄×C₄₃	C₂²	semidirect
100. C₂²×C₂²⋊C₄×C₄₃	C₂²	semidirect
101. C₂²×C₄²×C₄₃	C₂²	semidirect
109. C₂×#10621898	D₄	direct (N × H)
111. C₂×#10621898	C₂³	semidirect
112. C₂×#10621898	C₂³	semidirect
113. C₂×#10621898	C₂³	semidirect
114. C₂×#10621898	C₂³	semidirect
115. C₂×#10621898	C₂³	semidirect
120. C₂²×Dic₈₆	C₂³	semidirect
127. C₂²×D₁₇₂	C₂³	semidirect
135. C₂²×C₂²⋊D₄₃	C₂³	semidirect
146. C₂²×C₄×D₄₃	C₂³	semidirect
147. #13063325	C₂³	semidirect
148. #13063324	C₂³	semidirect
149. #13063322	C₂³	semidirect
150. #13063321	C₂³	semidirect
151. #13063313	C₂³	semidirect
152. #13063311	C₂³	semidirect
153. #13063310	C₂³	semidirect
154. #13063308	C₂³	semidirect
155. #13063307	C₂³	semidirect
156. #13063304	C₂³	semidirect
157. #13063304	C₂³	semidirect
158. #13063303	C₂³	semidirect
159. #13063302	C₂³	semidirect
160. #13063300	C₂³	semidirect
161. #13063299	C₂³	semidirect
162. #13063299	C₂³	semidirect
163. #13063299	C₂³	semidirect
164. #13063299	C₂³	semidirect
165. #13063298	C₂³	semidirect
166. #13063298	C₂³	semidirect
167. #13063297	C₂³	semidirect
168. #13063296	C₂³	semidirect
169. #13063295	C₂³	semidirect
170. #13063294	C₂³	semidirect
171. #13063293	C₂³	semidirect
172. C₄×Dic₈₆	C₂³	semidirect
173. C₄×Dic₈₆	C₂³	semidirect
174. C₄×D₁₇₂	C₂³	semidirect
175. C₄×D₁₇₂	C₂³	semidirect
176. C₄×D₁₇₂	C₂³	semidirect
177. C₄×D₁₇₂	C₂³	semidirect
179. #13063287	C₂³	semidirect
180. C₄×C₂²⋊D₄₃	C₂³	semidirect
181. C₄×C₂²⋊D₄₃	C₂³	semidirect
182. C₄×C₂²⋊D₄₃	C₂³	semidirect
183. C₄×C₂²⋊D₄₃	C₂³	semidirect
184. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
185. #13063284	C₂³	semidirect
186. #13063282	C₂³	semidirect
195. C₄⋊C₄×D₄₃	C₂³	semidirect
205. C₂²⋊C₄×D₄₃	C₂³	semidirect
209. C₄²×D₄₃	C₂³	semidirect
225. C₂³×C₄×C₄₃	C₂³	semidirect
228. C₄×D₄×C₄₃	C₂³	semidirect
229. C₄×D₄×C₄₃	C₂³	semidirect
230. C₄×D₄×C₄₃	C₂³	semidirect
231. C₄×D₄×C₄₃	C₂³	semidirect
235. C₂×C₄⋊C₄×C₄₃	C₂³	semidirect
240. C₂×C₂²⋊C₄×C₄₃	C₂³	semidirect
245. C₂×C₄²×C₄₃	C₂³	semidirect
262. C₂×D₄×C₄₃	#41	semidirect
274. C₂²×C₄×C₄₃	C₂×D₄	semidirect
297. C₂×C₂²⋊D₄₃	C₂×D₄	semidirect
316. #10621898	C₂×D₄	direct (N × H)
322. C₂×D₁₇₂	C₂×D₄	semidirect
334. C₂×C₄×D₄₃	C₂×D₄	semidirect
344. C₂×Dic₈₆	C₂×D₄	semidirect
391. C₂³×C₄₃	C₂×#41	semidirect
410. D₄×C₄₃	C₂×#41	semidirect
425. C₂×C₄×C₄₃	C₂²×D₄	semidirect
426. C₂×C₄×C₄₃	C₂×#41	semidirect
440. C₂²⋊D₄₃	C₂²×D₄	semidirect
454. D₁₇₂	C₂²×D₄	semidirect
460. C₄×D₄₃	C₂²×D₄	semidirect
463. Dic₈₆	C₂²×D₄	semidirect
479. C₂²×C₄₃	C₂²×#41	semidirect
498. C₄×C₄₃	C₂²×#41	semidirect
520. C₂²×C₄×D₄	D₄₃	semidirect
524. C₂×C₄₃	D₄×#41	semidirect
544. C₂⁴×C₄	C₂×D₄₃	semidirect
600. C₂×C₄×D₄	C₂×D₄₃	semidirect
601. C₂×C₄×D₄	C₂×D₄₃	semidirect
602. C₂×C₄×D₄	C₂×D₄₃	semidirect
603. C₂×C₄×D₄	C₂×D₄₃	semidirect
604. C₂×C₄×D₄	C₂×D₄₃	semidirect
608. C₂²×C₄⋊C₄	C₂×D₄₃	semidirect
610. C₂²×C₂²⋊C₄	C₂×D₄₃	semidirect
612. C₂²×C₄²	C₂×D₄₃	semidirect
613. C₄₃	C₂×D₄×#41	semidirect
674. C₂³×C₄	C₂²×D₄₃	semidirect
715. C₄×D₄	C₂²×D₄₃	semidirect
716. C₄×D₄	C₂²×D₄₃	semidirect
717. C₄×D₄	C₂²×D₄₃	semidirect
718. C₄×D₄	C₂²×D₄₃	semidirect
733. C₂×C₄⋊C₄	C₂²×D₄₃	semidirect
748. C₂×C₂²⋊C₄	C₂²×D₄₃	semidirect
757. C₂×C₄²	C₂²×D₄₃	semidirect
812. C₂×D₄	#10621898	direct (N × H)
843. C₂²×C₄	D₄×D₄₃	semidirect
915. C₂³	C₂×#10621898	semidirect
936. D₄	C₂×#10621898	direct (N × H)
966. C₂×C₄	C₂×D₄×D₄₃	semidirect
967. C₂×C₄	C₂×#10621898	semidirect
999. C₂²	C₂²×#10621898	semidirect
1013. C₄	C₂²×#10621898	semidirect
1019. C₂	D₄×#10621898	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂³×#10621898	2
D₄×#10621898	2
C₂×#14583570	2
C₂×D₄×Dic₈₆	2
C₂×#14583558	2
C₂×#14583554	2
C₂×#14583550	2
C₂×#14583545	2
C₂×#14583539	2
C₂×D₄×D₁₇₂	2
C₂×D₄×C₂²⋊D₄₃	2
C₂×#14583449	2
C₂×#14583446	2
C₂×#14583410	2
C₂×#14583408	2
C₂×C₄×#10621898	2
C₂×C₄×D₄×D₄₃	2
C₂²×C₄×D₄×C₄₃	2
C₂×D₄×#41	43

Subgroups — C2×D4×#10621898 #26003557

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×D₄×#10621898 #26003557