Subgroups — C₂×#19148617 #26004586

Order 11008.

8774 conjugacy classes of subgroups.

The subgroup lattice has 1420 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19148617	C₂	1	32	yes	maximal, direct product factor
2	C₂×#14583612	C₂	1	1	yes	maximal, characteristic, complemented
3	C₂×#14583608	C₂	1	1	yes	maximal, characteristic, complemented
4	C₂×#14583599	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#14583598	C₂	1	2	yes	maximal, complemented
6	C₂×#14583593	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#14583570	C₂	1	1	yes	maximal, characteristic, complemented
8	C₂×#14583545	C₂	1	2	yes	maximal, complemented
9	C₂×#14583539	C₂	1	2	yes	maximal, complemented
10	C₂×#14583539	C₂	1	2	yes	maximal, complemented
11	C₂×D₄×D₁₇₂	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×D₄×C₂²⋊D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×D₄×C₂²⋊D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#14583504	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#14583500	C₂	1	1	yes	maximal, characteristic, complemented
16	C₂×#14583487	C₂	1	2	yes	maximal, complemented
17	C₂×#14583482	C₂	1	2	yes	maximal, complemented
18	C₂×#14583446	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#14583427	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#14583408	C₂	1	2	yes	maximal, complemented
21	C₂²×#13063298	C₂	1	2	yes	maximal, complemented
22	C₂×#14583371	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂×C₄×D₄×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₄₃×#518	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#10621898	C₂²	1	2	yes	complemented
26	C₂²×#10621898	C₂²	1	2	yes	complemented
27	C₂³×D₁₇₂	C₂²	1	2	yes	complemented
28	C₂³×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
29	C₂³×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
30	C₂²×D₄×D₄₃	C₂²	1	1	yes	characteristic
31	C₂²×D₄×D₄₃	C₂²	1	1	yes	characteristic
32	C₂³×C₄×D₄₃	C₂²	1	2	yes	complemented
33	#14583612	C₂²	1	16	yes	complemented
34	#14583608	C₂²	1	16	yes	complemented
35	#14583599	C₂²	1	16	yes	complemented
36	#14583598	C₂²	1	32	yes	complemented
37	#14583593	C₂²	1	16	yes	complemented
38	#14583570	C₂²	1	16	yes	complemented
39	#14583545	C₂²	1	32	yes	complemented
40	#14583539	C₂²	1	32	yes	complemented
41	#14583539	C₂²	1	32	yes	complemented
42	D₄×D₁₇₂	C₂²	1	16	yes	complemented
43	D₄×C₂²⋊D₄₃	C₂²	1	16	yes	complemented
44	D₄×C₂²⋊D₄₃	C₂²	1	16	yes	complemented
45	#14583504	C₂²	1	16	yes	complemented
46	#14583500	C₂²	1	16	yes	complemented
47	#14583487	C₂²	1	32	yes	complemented
48	#14583482	C₂²	1	32	yes	complemented
49	#14583446	C₂²	1	16	yes	complemented
50	C₂×#13063324	C₂²	1	1	yes	characteristic, complemented
51	C₂×#13063322	C₂²	1	1	yes	characteristic, complemented
52	C₂×#13063321	C₂²	1	1	yes	characteristic, complemented
53	C₂×#13063321	C₂²	1	1	yes	characteristic, complemented
54	#14583427	C₂²	1	16	yes	complemented
55	C₂×#13063320	C₂²	1	1	yes	characteristic, complemented
56	C₂×#13063319	C₂²	1	2	yes	complemented
57	C₂×#13063318	C₂²	1	1	yes	characteristic, complemented
58	C₂×#13063318	C₂²	1	2	yes	complemented
59	C₂×#13063317	C₂²	1	1	yes	characteristic, complemented
60	C₂×#13063316	C₂²	1	1	yes	characteristic, complemented
61	C₂×#13063315	C₂²	1	1	yes	characteristic, complemented
62	C₂×#13063313	C₂²	1	2	yes	complemented
63	C₂×#13063311	C₂²	1	1	yes	characteristic, complemented
64	C₂×#13063311	C₂²	1	2	yes	complemented
65	C₂×#13063311	C₂²	1	2	yes	complemented
66	#14583408	C₂²	1	32	yes	complemented
67	C₂×#13063310	C₂²	1	1	yes	characteristic, complemented
68	C₂×#13063310	C₂²	1	2	yes	complemented
69	C₂×#13063310	C₂²	1	2	yes	complemented
70	C₂×#13063308	C₂²	1	2	yes	complemented
71	C₂×#13063308	C₂²	1	2	yes	complemented
72	C₂×#13063307	C₂²	1	1	yes	characteristic, complemented
73	C₂×#13063307	C₂²	1	2	yes	complemented
74	C₂×#13063307	C₂²	1	2	yes	complemented
75	C₂×#13063304	C₂²	1	2	yes	complemented
76	C₂×#13063303	C₂²	1	1	yes	characteristic, complemented
77	C₂×#13063302	C₂²	1	2	yes	complemented
78	C₂×#13063302	C₂²	1	2	yes	complemented
79	C₂×#13063300	C₂²	1	1	yes	characteristic, complemented
80	C₂×#13063300	C₂²	1	1	yes	characteristic, complemented
81	C₂×#13063299	C₂²	1	1	yes	characteristic, complemented
82	C₂×#13063299	C₂²	1	1	yes	characteristic, complemented
83	C₂×#13063299	C₂²	1	2	yes	complemented
84	C₂×#13063299	C₂²	1	2	yes	complemented
85	C₂×#13063299	C₂²	1	2	yes	complemented
86	C₂×#13063298	C₂²	1	1	yes	characteristic
87	C₂×#13063298	C₂²	1	2	yes	complemented
88	C₂×#13063298	C₂²	1	2	yes	complemented
89	C₂×#13063298	C₂²	1	2	yes	complemented
90	C₂×#13063298	C₂²	1	2	yes	complemented
91	C₂×#13063298	C₂²	1	2	yes	complemented
92	C₂×#13063298	C₂²	1	2	yes	complemented
93	C₂×#13063298	C₂²	1	2	yes	complemented
94	C₂×#13063298	C₂²	1	2	yes	complemented
95	C₂×#13063298	C₂²	1	2	yes	complemented
96	C₂×#13063298	C₂²	1	32	yes	complemented
97	C₂×#13063297	C₂²	1	2	yes	complemented
98	C₂×#13063297	C₂²	1	2	yes	complemented
99	C₂×#13063296	C₂²	1	1	yes	characteristic, complemented
100	C₂×#13063296	C₂²	1	1	yes	characteristic, complemented
101	C₂×#13063295	C₂²	1	2	yes	complemented
102	C₂×#13063295	C₂²	1	2	yes	complemented
103	C₂×#13063294	C₂²	1	2	yes	complemented
104	C₂×#13063294	C₂²	1	2	yes	complemented
105	C₂×#13063293	C₂²	1	2	yes	complemented
106	C₂×#13063293	C₂²	1	2	yes	complemented
107	#14583371	C₂²	1	16	yes	complemented
108	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
109	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
110	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
111	C₂×C₄×D₁₇₂	C₂²	1	2	yes	complemented
112	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
113	C₂×D₄×Dic₄₃	C₂²	1	1	yes	characteristic
114	C₂×D₄×Dic₄₃	C₂²	1	1	yes	characteristic
115	C₂×#13063287	C₂²	1	1	yes	characteristic, complemented
116	C₂×#13063287	C₂²	1	1	yes	characteristic, complemented
117	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic, complemented
118	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic, complemented
119	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
120	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
121	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
122	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
123	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
124	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
125	C₄×D₄×D₄₃	C₂²	1	16	yes	complemented
126	C₂×#13063283	C₂²	1	1	yes	characteristic, complemented
127	C₂×#13063282	C₂²	1	1	yes	characteristic, complemented
128	C₂×#13063282	C₂²	1	2	yes	complemented
129	C₂²×Dic₄₃⋊C₄	C₂²	1	2	yes	complemented
130	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic, complemented
131	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	2	yes	complemented
132	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	complemented
133	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	complemented
134	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic, complemented
135	C₂³×D₄×C₄₃	C₂²	1	1	yes	characteristic
136	C₄₃×#518	C₂²	1	16	yes	complemented
137	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
138	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
139	C₂×C₄×D₄×C₄₃	C₂²	1	2	yes	complemented
140	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
141	C₂×C₄×D₄×C₄₃	C₂²	1	2	yes	complemented
142	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
143	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic, complemented
144	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic, complemented
145	C₂²×C₂²⋊C₄×C₄₃	C₂²	1	2	yes	complemented
146	C₂²×C₂²⋊C₄×C₄₃	C₂²	1	2	yes	complemented
147	C₂⁴×D₄₃	C₂³	1	2	yes	—
148	C₂⁴×D₄₃	C₂³	1	2	yes	—
149	C₂×#10621898	—	4	8	no	—
150	C₂×#10621898	—	4	8	no	—
151	C₂×#10621898	C₂³	1	16	yes	complemented
152	C₂×#10621898	C₂³	1	16	yes	complemented
153	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
154	C₂²×Dic₈₆	C₂³	1	2	yes	—
155	C₂²×D₁₇₂	—	4	8	no	—
156	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
157	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
158	C₂²×D₁₇₂	C₂³	1	2	yes	—
159	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
160	C₂²×D₁₇₂	C₂³	1	2	yes	—
161	C₂²×D₁₇₂	C₂³	1	2	yes	—
162	C₂²×D₁₇₂	C₂³	1	2	yes	—
163	C₂²×D₁₇₂	C₂³	1	16	yes	complemented
164	C₂²×C₂²⋊D₄₃	—	4	8	no	—
165	C₂²×C₂²⋊D₄₃	—	4	8	no	—
166	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
167	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
168	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
169	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
170	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
171	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
172	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
173	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
174	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
175	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
176	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
177	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
178	C₂²×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
179	C₂²×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
180	C₂×D₄×D₄₃	—	2	8	no	—
181	C₂×D₄×D₄₃	—	2	8	no	—
182	C₂×D₄×D₄₃	C₂³	1	8	yes	—
183	C₂×D₄×D₄₃	C₂³	1	8	yes	—
184	C₂³×Dic₄₃	C₂³	1	2	yes	—
185	C₂³×Dic₄₃	C₂³	1	2	yes	—
186	C₂²×C₄×D₄₃	—	4	8	no	—
187	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
188	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
189	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
190	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
191	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
192	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
193	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
194	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
195	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
196	C₂²×C₄×D₄₃	C₂³	1	16	yes	complemented
197	#13063324	C₂³	1	8	yes	complemented
198	#13063322	C₂³	1	8	yes	complemented
199	#13063321	C₂³	1	8	yes	complemented
200	#13063321	C₂³	1	8	yes	complemented
201	#13063320	C₂³	1	8	yes	complemented
202	#13063319	C₂³	1	16	yes	complemented
203	#13063318	C₂³	1	16	yes	complemented
204	#13063318	C₂³	1	8	yes	complemented
205	#13063317	C₂³	1	8	yes	complemented
206	#13063316	C₂³	1	8	yes	complemented
207	#13063315	C₂³	1	8	yes	complemented
208	#13063313	C₂³	1	16	yes	complemented
209	#13063311	C₂³	1	16	yes	complemented
210	#13063311	C₂³	1	8	yes	complemented
211	#13063311	C₂³	1	16	yes	complemented
212	#13063310	C₂³	1	16	yes	complemented
213	#13063310	C₂³	1	16	yes	complemented
214	#13063310	C₂³	1	8	yes	complemented
215	#13063308	C₂³	1	16	yes	complemented
216	#13063308	C₂³	1	16	yes	complemented
217	#13063307	C₂³	1	16	yes	complemented
218	#13063307	C₂³	1	16	yes	complemented
219	#13063307	C₂³	1	8	yes	complemented
220	#13063304	C₂³	1	16	yes	complemented
221	#13063303	C₂³	1	8	yes	complemented
222	#13063302	C₂³	1	16	yes	complemented
223	#13063302	C₂³	1	16	yes	complemented
224	#13063300	C₂³	1	8	yes	complemented
225	#13063300	C₂³	1	8	yes	complemented
226	#13063299	C₂³	1	16	yes	complemented
227	#13063299	C₂³	1	8	yes	complemented
228	#13063299	C₂³	1	16	yes	complemented
229	#13063299	C₂³	1	8	yes	complemented
230	#13063299	C₂³	1	16	yes	complemented
231	#13063298	C₂³	1	8	yes	—
232	#13063298	C₂³	1	16	yes	complemented
233	#13063298	C₂³	1	16	yes	complemented
234	#13063298	C₂³	1	16	yes	complemented
235	#13063298	C₂³	1	16	yes	complemented
236	#13063298	C₂³	1	16	yes	complemented
237	#13063298	C₂³	1	16	yes	complemented
238	#13063298	C₂³	1	16	yes	complemented
239	#13063298	C₂³	1	16	yes	complemented
240	#13063298	C₂³	1	16	yes	complemented
241	#13063297	C₂³	1	16	yes	complemented
242	#13063297	C₂³	1	16	yes	complemented
243	#13063296	C₂³	1	8	yes	complemented
244	#13063296	C₂³	1	8	yes	complemented
245	#13063295	C₂³	1	16	yes	complemented
246	#13063295	C₂³	1	16	yes	complemented
247	#13063294	C₂³	1	16	yes	complemented
248	#13063294	C₂³	1	16	yes	complemented
249	#13063293	C₂³	1	16	yes	complemented
250	#13063293	C₂³	1	16	yes	complemented
251	C₄×Dic₈₆	C₂³	1	8	yes	complemented
252	C₄×D₁₇₂	C₂³	1	16	yes	complemented
253	C₄×D₁₇₂	C₂³	1	8	yes	complemented
254	C₄×D₁₇₂	C₂³	1	8	yes	complemented
255	C₄×D₁₇₂	C₂³	1	8	yes	complemented
256	D₄×Dic₄₃	C₂³	1	8	yes	—
257	D₄×Dic₄₃	C₂³	1	8	yes	—
258	#13063287	C₂³	1	8	yes	complemented
259	#13063287	C₂³	1	8	yes	complemented
260	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
261	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
262	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
263	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
264	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
265	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
266	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
267	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
268	#13063283	C₂³	1	8	yes	complemented
269	#13063282	C₂³	1	16	yes	complemented
270	#13063282	C₂³	1	8	yes	complemented
271	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
273	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
274	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
275	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
276	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
277	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
279	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
280	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
281	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
282	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
283	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
284	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
286	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×Dic₄₃⋊C₄	C₂³	1	16	yes	complemented
288	C₄⋊C₄×D₄₃	C₂³	1	8	yes	complemented
289	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
290	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
291	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
292	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
293	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
294	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
295	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
297	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
298	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
299	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
300	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
301	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
302	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
303	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
304	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
308	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
309	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	16	yes	complemented
311	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	complemented
312	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	complemented
313	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
314	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
315	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
316	C₂×C₄×Dic₄₃	C₂³	1	2	yes	—
317	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
318	C₄²×D₄₃	C₂³	1	8	yes	complemented
319	C₂⁵×C₄₃	C₂³	1	2	yes	—
320	C₂²×D₄×C₄₃	—	2	8	no	—
321	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
322	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
323	C₂²×D₄×C₄₃	C₂³	1	8	yes	—
324	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
325	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
326	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
327	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
328	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
329	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
330	C₄×D₄×C₄₃	C₂³	1	8	yes	—
331	C₄×D₄×C₄₃	C₂³	1	8	yes	—
332	C₄×D₄×C₄₃	C₂³	1	8	yes	complemented
333	C₄×D₄×C₄₃	C₂³	1	16	yes	complemented
334	C₄×D₄×C₄₃	C₂³	1	16	yes	complemented
335	C₄×D₄×C₄₃	C₂³	1	8	yes	complemented
336	#117×C₄₃	C₂³	1	8	yes	complemented
337	#117×C₄₃	C₂³	1	8	yes	complemented
338	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
339	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
340	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
341	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
342	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
343	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
344	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
345	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
346	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
347	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
348	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
349	C₂×C₂²⋊C₄×C₄₃	C₂³	1	16	yes	complemented
350	C₂×C₂²⋊C₄×C₄₃	C₂³	1	16	yes	complemented
351	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
352	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
353	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
354	C₂⁴×C₄₃	—	2	8	no	—
355	C₂⁴×C₄₃	—	4	4	no	—
356	C₂⁴×C₄₃	—	4	4	no	—
357	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
358	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
359	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
360	C₂⁴×C₄₃	C₂⁴	1	8	yes	—
361	C₂³×D₄₃	—	2	8	no	—
362	C₂³×D₄₃	—	2	8	no	—
363	C₂³×D₄₃	—	2	8	no	—
364	C₂³×D₄₃	—	4	4	no	—
365	C₂³×D₄₃	—	4	4	no	—
366	C₂³×D₄₃	—	4	4	no	—
367	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
368	C₂³×D₄₃	C₂⁴	1	2	yes	—
369	C₂³×D₄₃	C₂⁴	1	2	yes	—
370	C₂³×D₄₃	C₂⁴	1	8	yes	—
371	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
372	C₂³×D₄₃	C₂⁴	1	8	yes	—
373	C₂×D₄×C₄₃	—	2	32	no	—
374	C₂×D₄×C₄₃	—	2	4	no	—
375	C₂×D₄×C₄₃	—	2	8	no	—
376	C₂×D₄×C₄₃	#41	1	8	yes	complemented
377	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
378	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
379	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
380	C₂²×C₄×C₄₃	—	2	4	no	—
381	C₂²×C₄×C₄₃	—	4	4	no	—
382	C₂²×C₄×C₄₃	—	4	4	no	—
383	C₂²×C₄×C₄₃	—	4	4	no	—
384	C₂²×C₄×C₄₃	—	4	4	no	—
385	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
386	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
388	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
389	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
390	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
391	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
392	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
393	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
394	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
395	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
396	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
397	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
398	C₂×C₂²⋊D₄₃	—	2	4	no	—
399	C₂×C₂²⋊D₄₃	—	2	8	no	—
400	C₂×C₂²⋊D₄₃	—	2	8	no	—
401	C₂×C₂²⋊D₄₃	—	2	8	no	—
402	C₂×C₂²⋊D₄₃	—	2	4	no	—
403	C₂×C₂²⋊D₄₃	—	2	8	no	—
404	C₂×C₂²⋊D₄₃	—	4	4	no	—
405	C₂×C₂²⋊D₄₃	—	4	4	no	—
406	C₂×C₂²⋊D₄₃	—	4	4	no	—
407	C₂×C₂²⋊D₄₃	—	4	4	no	—
408	C₂×C₂²⋊D₄₃	—	4	4	no	—
409	C₂×C₂²⋊D₄₃	—	4	4	no	—
410	C₂×C₂²⋊D₄₃	—	4	32	no	—
411	C₂×C₂²⋊D₄₃	—	4	32	no	—
412	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
413	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
414	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
415	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
416	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
417	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
418	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
419	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
420	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
421	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
422	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
423	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
424	C₂²×Dic₄₃	—	2	8	no	—
425	C₂²×Dic₄₃	—	4	4	no	—
426	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
427	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
428	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
429	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
430	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
432	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
433	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
434	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
435	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
436	D₄×D₄₃	—	2	32	no	—
437	D₄×D₄₃	—	2	32	no	—
438	#10621898	—	4	32	no	—
439	#10621898	—	4	32	no	—
440	C₂×D₁₇₂	—	2	4	no	—
441	C₂×D₁₇₂	—	2	4	no	—
442	C₂×D₁₇₂	—	2	4	no	—
443	C₂×D₁₇₂	—	2	8	no	—
444	C₂×D₁₇₂	—	4	4	no	—
445	C₂×D₁₇₂	—	4	4	no	—
446	C₂×D₁₇₂	—	4	4	no	—
447	C₂×D₁₇₂	—	4	32	no	—
448	C₂×D₁₇₂	C₂⁴	1	4	yes	—
449	C₂×D₁₇₂	C₂⁴	1	4	yes	—
450	C₂×D₁₇₂	C₂⁴	1	8	yes	—
451	C₂×D₁₇₂	C₂⁴	1	4	yes	—
452	C₂×D₁₇₂	C₂⁴	1	8	yes	—
453	C₂×D₁₇₂	C₂⁴	1	8	yes	—
454	C₂×D₁₇₂	C₂⁴	1	8	yes	—
455	C₂×C₄×D₄₃	—	2	4	no	—
456	C₂×C₄×D₄₃	—	2	4	no	—
457	C₂×C₄×D₄₃	—	2	4	no	—
458	C₂×C₄×D₄₃	—	2	8	no	—
459	C₂×C₄×D₄₃	—	2	4	no	—
460	C₂×C₄×D₄₃	—	4	4	no	—
461	C₂×C₄×D₄₃	—	4	4	no	—
462	C₂×C₄×D₄₃	—	4	4	no	—
463	C₂×C₄×D₄₃	—	4	4	no	—
464	C₂×C₄×D₄₃	—	4	32	no	—
465	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
466	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
467	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
468	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
469	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
470	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
471	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
472	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
473	C₂×C₄×D₄₃	C₂⁴	1	8	yes	—
474	C₂×Dic₈₆	—	2	4	no	—
475	C₂×Dic₈₆	—	4	4	no	—
476	C₂×Dic₈₆	C₂⁴	1	4	yes	—
477	C₂×Dic₈₆	C₂⁴	1	8	yes	—
478	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
479	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
480	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
481	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
482	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
483	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
484	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
485	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
486	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
487	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
488	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
489	C₄²×C₄₃	C₂⁴	1	4	yes	—
490	C₄²×C₄₃	C₂⁴	1	4	yes	—
491	C₄²×C₄₃	C₂⁴	1	8	yes	—
492	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
493	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
494	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
495	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
496	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
497	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
498	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
499	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
500	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
501	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
502	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
503	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
504	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
505	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
506	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
507	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
508	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
509	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
510	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
511	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
512	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
513	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
514	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
515	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
516	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
517	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
518	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
519	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
520	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
521	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
522	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
523	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
524	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
525	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
526	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
527	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
528	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
529	C₄×Dic₄₃	C₂⁴	1	4	yes	—
530	C₄×Dic₄₃	C₂⁴	1	4	yes	—
531	C₄×Dic₄₃	C₂⁴	1	4	yes	—
532	C₄×Dic₄₃	C₂⁴	1	8	yes	—
533	C₄×Dic₄₃	C₂⁴	1	4	yes	—
534	C₂³×C₄₃	—	2	4	no	—
535	C₂³×C₄₃	—	2	4	no	—
536	C₂³×C₄₃	—	2	2	no	—
537	C₂³×C₄₃	—	2	4	no	—
538	C₂³×C₄₃	—	2	4	no	—
539	C₂³×C₄₃	—	2	4	no	—
540	C₂³×C₄₃	—	2	2	no	—
541	C₂³×C₄₃	—	2	2	no	—
542	C₂³×C₄₃	—	2	16	no	—
543	C₂³×C₄₃	—	4	8	no	—
544	C₂³×C₄₃	—	4	8	no	—
545	C₂³×C₄₃	—	8	16	no	—
546	C₂³×C₄₃	C₂×#41	1	8	yes	—
547	C₂³×C₄₃	C₂⁵	1	2	yes	—
548	C₂³×C₄₃	C₂⁵	1	4	yes	—
549	C₂³×C₄₃	C₂⁵	1	4	yes	—
550	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
551	C₂²×D₄₃	—	2	2	no	—
552	C₂²×D₄₃	—	2	2	no	—
553	C₂²×D₄₃	—	2	2	no	—
554	C₂²×D₄₃	—	2	4	no	—
555	C₂²×D₄₃	—	2	4	no	—
556	C₂²×D₄₃	—	2	16	no	—
557	C₂²×D₄₃	—	2	4	no	—
558	C₂²×D₄₃	—	2	4	no	—
559	C₂²×D₄₃	—	2	4	no	—
560	C₂²×D₄₃	—	2	2	no	—
561	C₂²×D₄₃	—	2	4	no	—
562	C₂²×D₄₃	—	2	2	no	—
563	C₂²×D₄₃	—	2	16	no	—
564	C₂²×D₄₃	—	2	16	no	—
565	C₂²×D₄₃	—	4	8	no	—
566	C₂²×D₄₃	—	4	8	no	—
567	C₂²×D₄₃	—	4	8	no	—
568	C₂²×D₄₃	—	4	32	no	—
569	C₂²×D₄₃	—	8	16	no	—
570	C₂²×D₄₃	H(5,𝔽₂)	1	4	yes	—
571	C₂²×D₄₃	C₂⁵	1	2	yes	—
572	C₂²×D₄₃	C₂⁵	1	4	yes	—
573	C₂²×D₄₃	C₂⁵	1	4	yes	—
574	C₂²×D₄₃	C₂⁵	1	2	yes	—
575	D₄×C₄₃	—	2	16	no	—
576	D₄×C₄₃	—	2	8	no	—
577	D₄×C₄₃	C₂×#41	1	16	yes	complemented
578	C₂×C₄×C₄₃	—	2	2	no	—
579	C₂×C₄×C₄₃	—	2	2	no	—
580	C₂×C₄×C₄₃	—	2	4	no	—
581	C₂×C₄×C₄₃	—	2	2	no	—
582	C₂×C₄×C₄₃	—	2	4	no	—
583	C₂×C₄×C₄₃	—	2	2	no	—
584	C₂×C₄×C₄₃	—	2	2	no	—
585	C₂×C₄×C₄₃	—	2	8	no	—
586	C₂×C₄×C₄₃	—	4	8	no	—
587	C₂×C₄×C₄₃	—	4	8	no	—
588	C₂×C₄×C₄₃	—	4	8	no	—
589	C₂×C₄×C₄₃	—	4	8	no	—
590	C₂×C₄×C₄₃	C₂×#41	1	4	yes	—
591	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
592	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
593	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
594	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
595	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
596	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
597	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
598	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
599	C₂²⋊D₄₃	—	2	16	no	—
600	C₂²⋊D₄₃	—	2	16	no	—
601	C₂²⋊D₄₃	—	2	16	no	—
602	C₂²⋊D₄₃	—	2	8	no	—
603	C₂²⋊D₄₃	—	2	16	no	—
604	C₂²⋊D₄₃	—	2	8	no	—
605	C₂²⋊D₄₃	—	4	8	no	—
606	C₂²⋊D₄₃	—	4	8	no	—
607	C₂²⋊D₄₃	—	4	8	no	—
608	C₂²⋊D₄₃	—	4	8	no	—
609	C₂²⋊D₄₃	—	4	8	no	—
610	C₂²⋊D₄₃	—	4	8	no	—
611	C₂×Dic₄₃	—	2	2	no	—
612	C₂×Dic₄₃	—	2	2	no	—
613	C₂×Dic₄₃	—	2	2	no	—
614	C₂×Dic₄₃	—	2	2	no	—
615	C₂×Dic₄₃	—	2	4	no	—
616	C₂×Dic₄₃	—	2	4	no	—
617	C₂×Dic₄₃	—	2	2	no	—
618	C₂×Dic₄₃	—	2	16	no	—
619	C₂×Dic₄₃	—	4	8	no	—
620	C₂×Dic₄₃	H(5,𝔽₂)	1	4	yes	—
621	C₂×Dic₄₃	C₂⁵	1	2	yes	—
622	C₂×Dic₄₃	C₂⁵	1	2	yes	—
623	C₂×Dic₄₃	C₂⁵	1	2	yes	—
624	C₂×Dic₄₃	C₂⁵	1	2	yes	—
625	C₂×Dic₄₃	C₂⁵	1	4	yes	—
626	C₂×Dic₄₃	C₂⁵	1	2	yes	—
627	C₂×Dic₄₃	C₂⁵	1	4	yes	—
628	C₂×Dic₄₃	C₂⁵	1	2	yes	—
629	D₁₇₂	—	2	8	no	—
630	D₁₇₂	—	2	16	no	—
631	D₁₇₂	—	2	8	no	—
632	D₁₇₂	—	2	8	no	—
633	D₁₇₂	—	4	8	no	—
634	D₁₇₂	—	4	8	no	—
635	D₁₇₂	—	4	8	no	—
636	C₄×D₄₃	—	2	8	no	—
637	C₄×D₄₃	—	2	8	no	—
638	C₄×D₄₃	—	2	8	no	—
639	C₄×D₄₃	—	2	8	no	—
640	C₄×D₄₃	—	2	16	no	—
641	C₄×D₄₃	—	4	8	no	—
642	C₄×D₄₃	—	4	8	no	—
643	C₄×D₄₃	—	4	8	no	—
644	C₄×D₄₃	—	4	8	no	—
645	Dic₈₆	—	2	8	no	—
646	Dic₈₆	—	4	8	no	—
647	C₂×#3519	—	43	1	no	maximal, Sylow
648	C₂²×C₄₃	—	2	4	no	—
649	C₂²×C₄₃	—	2	4	no	—
650	C₂²×C₄₃	—	2	16	no	—
651	C₂²×C₄₃	—	2	2	no	—
652	C₂²×C₄₃	—	2	4	no	—
653	C₂²×C₄₃	—	2	2	no	—
654	C₂²×C₄₃	—	2	2	no	—
655	C₂²×C₄₃	—	2	4	no	—
656	C₂²×C₄₃	—	2	4	no	—
657	C₂²×C₄₃	—	4	8	no	—
658	C₂²×C₄₃	—	4	4	no	—
659	C₂²×C₄₃	—	8	16	no	—
660	C₂²×C₄₃	C₂²×#41	1	8	yes	—
661	C₂²×C₄₃	C₂²×#41	1	2	yes	—
662	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
663	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
664	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
665	C₂×D₄₃	—	2	2	no	—
666	C₂×D₄₃	—	2	2	no	—
667	C₂×D₄₃	—	2	8	no	—
668	C₂×D₄₃	—	2	2	no	—
669	C₂×D₄₃	—	2	4	no	—
670	C₂×D₄₃	—	2	4	no	—
671	C₂×D₄₃	—	2	4	no	—
672	C₂×D₄₃	—	2	2	no	—
673	C₂×D₄₃	—	2	2	no	—
674	C₂×D₄₃	—	2	4	no	—
675	C₂×D₄₃	—	2	4	no	—
676	C₂×D₄₃	—	2	4	no	—
677	C₂×D₄₃	—	4	32	no	—
678	C₂×D₄₃	—	4	8	no	—
679	C₂×D₄₃	—	4	8	no	—
680	C₂×D₄₃	—	4	4	no	—
681	C₂×D₄₃	—	8	16	no	—
682	C₂×D₄₃	C₂×H(5,𝔽₂)	1	4	yes	—
683	C₄×C₄₃	—	2	2	no	—
684	C₄×C₄₃	—	2	2	no	—
685	C₄×C₄₃	—	2	4	no	—
686	C₄×C₄₃	—	2	2	no	—
687	C₄×C₄₃	—	2	2	no	—
688	C₄×C₄₃	—	2	4	no	—
689	C₄×C₄₃	—	2	2	no	—
690	C₄×C₄₃	C₂²×#41	1	4	yes	—
691	Dic₄₃	—	2	2	no	—
692	Dic₄₃	—	2	2	no	—
693	Dic₄₃	—	2	2	no	—
694	Dic₄₃	—	2	2	no	—
695	Dic₄₃	—	2	4	no	—
696	Dic₄₃	—	2	4	no	—
697	Dic₄₃	—	2	2	no	—
698	Dic₄₃	C₂×H(5,𝔽₂)	1	4	yes	—
699	#3519	—	43	32	no	—
700	C₂×#555	—	43	1	no	—
701	C₂×#554	—	43	1	no	—
702	C₂×#553	—	43	2	no	—
703	C₂×#553	—	43	1	no	—
704	C₂×#553	—	43	1	no	—
705	C₂×#550	—	43	1	no	—
706	C₂×#546	—	43	2	no	—
707	C₂×#546	—	43	2	no	—
708	C₂×#546	—	43	2	no	—
709	C₂×D₄²	—	43	1	no	—
710	C₂×D₄²	—	43	1	no	—
711	C₂×D₄²	—	43	1	no	—
712	C₂×#540	—	43	1	no	—
713	C₂×#540	—	43	1	no	—
714	C₂×#538	—	43	2	no	—
715	C₂×#538	—	43	2	no	—
716	C₂×#532	—	43	1	no	—
717	C₂×#529	—	43	1	no	—
718	C₂×#525	—	43	2	no	—
719	C₂²×#121	—	43	2	no	—
720	C₂×#518	—	43	1	no	—
721	C₂×#518	D₄₃	1	1	yes	characteristic, complemented
722	C₂²×C₄×D₄	—	43	1	no	—
723	C₂×C₄₃	—	2	8	no	—
724	C₂×C₄₃	—	4	4	no	—
725	C₂×C₄₃	—	4	2	no	—
726	C₂×C₄₃	#3519	1	4	yes	complemented
727	C₂×C₄₃	C₂³×#41	1	1	yes	characteristic
728	C₂×C₄₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
729	C₂×C₄₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
730	D₄₃	—	2	4	no	—
731	D₄₃	—	4	4	no	—
732	D₄₃	—	4	4	no	—
733	D₄₃	—	4	2	no	—
734	C₂²×#41	—	43	2	no	—
735	C₂²×#41	—	43	2	no	—
736	C₂³×D₄	—	43	2	no	—
737	C₂³×D₄	—	43	2	no	—
738	C₂³×D₄	—	43	1	no	—
739	C₂³×D₄	—	43	1	no	—
740	C₂³×D₄	—	43	2	no	—
741	C₂³×D₄	C₂×D₄₃	1	1	yes	characteristic
742	C₂⁴×C₄	—	43	2	no	—
743	#555	—	43	16	no	—
744	#554	—	43	16	no	—
745	#553	—	43	32	no	—
746	#553	—	43	16	no	—
747	#553	—	43	16	no	—
748	#550	—	43	16	no	—
749	#546	—	43	32	no	—
750	#546	—	43	32	no	—
751	#546	—	43	32	no	—
752	D₄²	—	43	16	no	—
753	D₄²	—	43	16	no	—
754	D₄²	—	43	16	no	—
755	#540	—	43	16	no	—
756	#540	—	43	16	no	—
757	#538	—	43	32	no	—
758	#538	—	43	32	no	—
759	#532	—	43	16	no	—
760	C₂×C₄⋊Q₈	—	43	1	no	—
761	C₂×#127	—	43	1	no	—
762	C₂×#127	—	43	1	no	—
763	C₂×#127	—	43	1	no	—
764	#529	—	43	16	no	—
765	C₂×#126	—	43	1	no	—
766	C₂×#126	—	43	1	no	—
767	C₂×#126	—	43	2	no	—
768	C₂×#126	—	43	2	no	—
769	C₂×#125	—	43	1	no	—
770	C₂×#125	—	43	1	no	—
771	C₂×#125	—	43	1	no	—
772	C₂×#124	—	43	1	no	—
773	C₂×#124	—	43	2	no	—
774	C₂×#124	—	43	2	no	—
775	C₂×#124	—	43	2	no	—
776	#525	—	43	32	no	—
777	C₂×#123	—	43	2	no	—
778	C₂×#123	—	43	2	no	—
779	C₂×#123	—	43	2	no	—
780	C₂×#123	—	43	1	no	—
781	C₂×#123	—	43	2	no	—
782	C₂×#123	—	43	2	no	—
783	C₂×#123	—	43	1	no	—
784	C₂×#123	—	43	2	no	—
785	C₂×C₂²⋊Q₈	—	43	2	no	—
786	C₂×C₂²⋊Q₈	—	43	1	no	—
787	C₂×C₂²⋊Q₈	—	43	2	no	—
788	C₂×C₂²⋊Q₈	—	43	2	no	—
789	C₂×#121	—	43	1	no	—
790	C₂×#121	—	43	1	no	—
791	C₂×#121	—	43	2	no	—
792	C₂×#121	—	43	2	no	—
793	C₂×#121	—	43	2	no	—
794	C₂×#121	—	43	2	no	—
795	C₂×#121	—	43	1	no	—
796	C₂×#121	—	43	1	no	—
797	C₂×#121	—	43	2	no	—
798	C₂×#121	—	43	1	no	—
799	C₂×#121	—	43	1	no	—
800	C₂×#121	—	43	1	no	—
801	C₂×#121	—	43	2	no	—
802	C₂×#121	—	43	2	no	—
803	C₂×#121	—	43	2	no	—
804	C₂×#121	—	43	2	no	—
805	C₂×#121	—	43	2	no	—
806	C₂×#121	—	43	2	no	—
807	C₂×#121	—	43	2	no	—
808	C₂×#121	—	43	2	no	—
809	C₂×#121	—	43	2	no	—
810	C₂×#121	—	43	32	no	—
811	C₂×#120	—	43	2	no	—
812	C₂×#120	—	43	2	no	—
813	C₂×#120	—	43	2	no	—
814	C₂×#120	—	43	2	no	—
815	C₂×#120	—	43	2	no	—
816	C₂×#120	—	43	2	no	—
817	#518	—	43	16	no	—
818	#518	C₂×D₄₃	1	16	yes	complemented
819	C₂×C₄×Q₈	—	43	1	no	—
820	C₂×C₄×D₄	—	43	1	no	—
821	C₂×C₄×D₄	—	43	1	no	—
822	C₂×C₄×D₄	—	43	2	no	—
823	C₂×C₄×D₄	—	43	2	no	—
824	C₂×C₄×D₄	—	43	2	no	—
825	C₂×C₄×D₄	—	43	1	no	—
826	C₂×C₄×D₄	—	43	1	no	—
827	C₂×C₄×D₄	—	43	2	no	—
828	C₂×C₄×D₄	—	43	16	no	—
829	C₂×C₄×D₄	—	43	1	no	—
830	C₂×C₄×D₄	—	43	1	no	—
831	C₂×C₄×D₄	—	43	2	no	—
832	C₂×C₄×D₄	—	43	2	no	—
833	C₂×C₄×D₄	—	43	1	no	—
834	C₂×C₄×D₄	—	43	1	no	—
835	C₂×C₄×D₄	—	43	2	no	—
836	C₂×C₄×D₄	—	43	1	no	—
837	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
838	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
839	C₂×C₄×D₄	C₂×D₄₃	1	2	yes	complemented
840	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic, complemented
841	C₂×C₄×D₄	C₂×D₄₃	1	2	yes	complemented
842	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic, complemented
843	C₂×#117	—	43	1	no	—
844	C₂×#117	—	43	1	no	—
845	C₂×#117	—	43	2	no	—
846	C₂×#117	C₂×D₄₃	1	1	yes	characteristic, complemented
847	C₂×#117	C₂×D₄₃	1	1	yes	characteristic, complemented
848	C₂²×C₄⋊C₄	—	43	2	no	—
849	C₂²×C₄⋊C₄	—	43	1	no	—
850	C₂²×C₂²⋊C₄	—	43	2	no	—
851	C₂²×C₂²⋊C₄	—	43	2	no	—
852	C₂²×C₂²⋊C₄	—	43	2	no	—
853	C₂²×C₂²⋊C₄	C₂×D₄₃	1	2	yes	complemented
854	C₂²×C₂²⋊C₄	C₂×D₄₃	1	2	yes	complemented
855	C₂²×C₄²	—	43	1	no	—
856	C₄₃	C₂×#3519	1	1	yes	characteristic, complemented, Sylow
857	C₂⁵	—	43	2	no	—
858	C₂⁵	—	43	2	no	—
859	C₂⁵	C₂²×D₄₃	1	2	yes	—
860	C₂×#41	—	43	16	no	—
861	C₂×#41	—	43	16	no	—
862	C₂×#41	—	172	8	no	—
863	C₂×#41	—	172	8	no	—
864	C₂²×Q₈	—	43	1	no	—
865	C₂²×Q₈	—	43	2	no	—
866	C₂²×D₄	—	2	8	no	—
867	C₂²×D₄	—	43	2	no	—
868	C₂²×D₄	—	43	2	no	—
869	C₂²×D₄	—	43	2	no	—
870	C₂²×D₄	—	43	1	no	—
871	C₂²×D₄	—	43	1	no	—
872	C₂²×D₄	—	43	2	no	—
873	C₂²×D₄	—	43	2	no	—
874	C₂²×D₄	—	43	2	no	—
875	C₂²×D₄	—	43	2	no	—
876	C₂²×D₄	—	43	2	no	—
877	C₂²×D₄	—	43	2	no	—
878	C₂²×D₄	—	43	2	no	—
879	C₂²×D₄	—	43	16	no	—
880	C₂²×D₄	—	43	16	no	—
881	C₂²×D₄	—	43	8	no	—
882	C₂²×D₄	—	43	8	no	—
883	C₂²×D₄	—	43	1	no	—
884	C₂²×D₄	—	43	1	no	—
885	C₂²×D₄	—	43	2	no	—
886	C₂²×D₄	—	43	1	no	—
887	C₂²×D₄	—	43	2	no	—
888	C₂²×D₄	—	43	2	no	—
889	C₂²×D₄	—	43	2	no	—
890	C₂²×D₄	—	43	16	no	—
891	C₂²×D₄	—	86	8	no	—
892	C₂²×D₄	—	86	8	no	—
893	C₂²×D₄	—	172	8	no	—
894	C₂²×D₄	—	172	8	no	—
895	C₂²×D₄	—	172	8	no	—
896	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
897	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
898	C₂²×D₄	C₂²×D₄₃	1	8	yes	—
899	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
900	C₂³×C₄	—	43	2	no	—
901	C₂³×C₄	—	43	2	no	—
902	C₂³×C₄	—	43	1	no	—
903	C₂³×C₄	—	43	1	no	—
904	C₂³×C₄	—	43	1	no	—
905	C₂³×C₄	—	43	2	no	—
906	C₂³×C₄	—	43	1	no	—
907	C₂³×C₄	—	43	2	no	—
908	C₂³×C₄	—	43	2	no	—
909	C₂³×C₄	—	43	2	no	—
910	C₂³×C₄	—	43	2	no	—
911	C₂³×C₄	—	43	16	no	—
912	C₂³×C₄	—	172	8	no	—
913	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
914	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
915	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
916	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
917	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
918	C₄⋊Q₈	—	43	8	no	—
919	#127	—	43	8	no	—
920	#127	—	43	8	no	—
921	#127	—	43	8	no	—
922	#126	—	43	8	no	—
923	#126	—	43	8	no	—
924	#126	—	43	16	no	—
925	#126	—	43	16	no	—
926	#125	—	43	8	no	—
927	#125	—	43	8	no	—
928	#125	—	43	8	no	—
929	#124	—	43	8	no	—
930	#124	—	43	16	no	—
931	#124	—	43	16	no	—
932	#124	—	43	16	no	—
933	#123	—	43	16	no	—
934	#123	—	43	16	no	—
935	#123	—	43	16	no	—
936	#123	—	43	8	no	—
937	#123	—	43	16	no	—
938	#123	—	43	16	no	—
939	#123	—	43	8	no	—
940	#123	—	43	16	no	—
941	C₂²⋊Q₈	—	43	16	no	—
942	C₂²⋊Q₈	—	43	8	no	—
943	C₂²⋊Q₈	—	43	16	no	—
944	C₂²⋊Q₈	—	43	16	no	—
945	#121	—	43	16	no	—
946	#121	—	43	8	no	—
947	#121	—	43	16	no	—
948	#121	—	43	8	no	—
949	#121	—	43	16	no	—
950	#121	—	43	16	no	—
951	#121	—	43	8	no	—
952	#121	—	43	8	no	—
953	#121	—	43	16	no	—
954	#121	—	43	8	no	—
955	#121	—	43	8	no	—
956	#121	—	43	8	no	—
957	#121	—	43	16	no	—
958	#121	—	43	16	no	—
959	#121	—	43	16	no	—
960	#121	—	43	16	no	—
961	#121	—	43	16	no	—
962	#121	—	43	16	no	—
963	#121	—	43	16	no	—
964	#121	—	43	16	no	—
965	#121	—	43	16	no	—
966	#120	—	43	16	no	—
967	#120	—	43	16	no	—
968	#120	—	43	16	no	—
969	#120	—	43	16	no	—
970	#120	—	43	16	no	—
971	#120	—	43	16	no	—
972	C₄×Q₈	—	43	8	no	—
973	C₄×D₄	—	43	8	no	—
974	C₄×D₄	—	43	8	no	—
975	C₄×D₄	—	43	16	no	—
976	C₄×D₄	—	43	16	no	—
977	C₄×D₄	—	43	16	no	—
978	C₄×D₄	—	43	8	no	—
979	C₄×D₄	—	43	8	no	—
980	C₄×D₄	—	43	16	no	—
981	C₄×D₄	—	43	8	no	—
982	C₄×D₄	—	43	8	no	—
983	C₄×D₄	—	43	16	no	—
984	C₄×D₄	—	43	16	no	—
985	C₄×D₄	—	43	8	no	—
986	C₄×D₄	—	43	8	no	—
987	C₄×D₄	—	43	16	no	—
988	C₄×D₄	—	43	8	no	—
989	C₄×D₄	C₂²×D₄₃	1	8	yes	—
990	C₄×D₄	C₂²×D₄₃	1	8	yes	—
991	C₄×D₄	C₂²×D₄₃	1	16	yes	complemented
992	C₄×D₄	C₂²×D₄₃	1	8	yes	complemented
993	C₄×D₄	C₂²×D₄₃	1	16	yes	complemented
994	C₄×D₄	C₂²×D₄₃	1	8	yes	complemented
995	#117	—	43	8	no	—
996	#117	—	43	8	no	—
997	#117	—	43	16	no	—
998	#117	C₂²×D₄₃	1	8	yes	complemented
999	#117	C₂²×D₄₃	1	8	yes	complemented
1000	C₂×C₄⋊C₄	—	43	1	no	—
1001	C₂×C₄⋊C₄	—	43	2	no	—
1002	C₂×C₄⋊C₄	—	43	1	no	—
1003	C₂×C₄⋊C₄	—	43	2	no	—
1004	C₂×C₄⋊C₄	—	43	2	no	—
1005	C₂×C₄⋊C₄	—	43	2	no	—
1006	C₂×C₄⋊C₄	—	43	16	no	—
1007	C₂×C₄⋊C₄	—	43	1	no	—
1008	C₂×C₄⋊C₄	—	43	1	no	—
1009	C₂×C₄⋊C₄	—	43	1	no	—
1010	C₂×C₄⋊C₄	—	43	1	no	—
1011	C₂×C₄⋊C₄	—	43	1	no	—
1012	C₂×C₄⋊C₄	—	43	1	no	—
1013	C₂×C₄⋊C₄	—	43	2	no	—
1014	C₂×C₄⋊C₄	—	43	2	no	—
1015	C₂×C₄⋊C₄	—	43	1	no	—
1016	C₂×C₄⋊C₄	—	43	1	no	—
1017	C₂×C₄⋊C₄	—	43	8	no	—
1018	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1019	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1020	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1021	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1022	C₂×C₂²⋊C₄	—	43	2	no	—
1023	C₂×C₂²⋊C₄	—	43	2	no	—
1024	C₂×C₂²⋊C₄	—	43	1	no	—
1025	C₂×C₂²⋊C₄	—	43	1	no	—
1026	C₂×C₂²⋊C₄	—	43	2	no	—
1027	C₂×C₂²⋊C₄	—	43	2	no	—
1028	C₂×C₂²⋊C₄	—	43	1	no	—
1029	C₂×C₂²⋊C₄	—	43	2	no	—
1030	C₂×C₂²⋊C₄	—	43	1	no	—
1031	C₂×C₂²⋊C₄	—	43	2	no	—
1032	C₂×C₂²⋊C₄	—	43	2	no	—
1033	C₂×C₂²⋊C₄	—	43	2	no	—
1034	C₂×C₂²⋊C₄	—	43	2	no	—
1035	C₂×C₂²⋊C₄	—	43	16	no	—
1036	C₂×C₂²⋊C₄	—	43	2	no	—
1037	C₂×C₂²⋊C₄	—	43	2	no	—
1038	C₂×C₂²⋊C₄	—	43	1	no	—
1039	C₂×C₂²⋊C₄	—	43	1	no	—
1040	C₂×C₂²⋊C₄	—	43	1	no	—
1041	C₂×C₂²⋊C₄	—	43	1	no	—
1042	C₂×C₂²⋊C₄	—	43	2	no	—
1043	C₂×C₂²⋊C₄	—	43	2	no	—
1044	C₂×C₂²⋊C₄	—	43	16	no	—
1045	C₂×C₂²⋊C₄	—	43	16	no	—
1046	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1047	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1048	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1049	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1050	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1051	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1052	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1053	C₂×C₂²⋊C₄	C₂²×D₄₃	1	16	yes	complemented
1054	C₂×C₂²⋊C₄	C₂²×D₄₃	1	16	yes	complemented
1055	C₂×C₄²	—	43	2	no	—
1056	C₂×C₄²	—	43	1	no	—
1057	C₂×C₄²	—	43	1	no	—
1058	C₂×C₄²	—	43	1	no	—
1059	C₂×C₄²	—	43	1	no	—
1060	C₂×C₄²	—	43	8	no	—
1061	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1062	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
1063	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1064	C₂⁴	—	2	8	no	—
1065	C₂⁴	—	4	4	no	—
1066	C₂⁴	—	4	4	no	—
1067	C₂⁴	—	43	1	no	—
1068	C₂⁴	—	43	1	no	—
1069	C₂⁴	—	43	2	no	—
1070	C₂⁴	—	43	2	no	—
1071	C₂⁴	—	43	8	no	—
1072	C₂⁴	—	43	8	no	—
1073	C₂⁴	—	86	8	no	—
1074	C₂⁴	—	86	8	no	—
1075	C₂⁴	—	86	8	no	—
1076	C₂⁴	—	172	4	no	—
1077	C₂⁴	—	172	4	no	—
1078	C₂⁴	—	172	4	no	—
1079	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1080	C₂⁴	C₂³×D₄₃	1	2	yes	—
1081	C₂⁴	C₂³×D₄₃	1	2	yes	—
1082	C₂⁴	C₂³×D₄₃	1	8	yes	—
1083	#41	—	172	32	no	—
1084	#41	—	172	32	no	—
1085	C₂×Q₈	—	43	4	no	—
1086	C₂×Q₈	—	43	8	no	—
1087	C₂×Q₈	—	86	4	no	—
1088	C₂×Q₈	—	172	4	no	—
1089	C₂×D₄	—	2	8	no	—
1090	C₂×D₄	—	2	32	no	—
1091	C₂×D₄	—	2	4	no	—
1092	C₂×D₄	—	43	8	no	—
1093	C₂×D₄	—	43	8	no	—
1094	C₂×D₄	—	43	8	no	—
1095	C₂×D₄	—	43	4	no	—
1096	C₂×D₄	—	43	4	no	—
1097	C₂×D₄	—	43	8	no	—
1098	C₂×D₄	—	43	8	no	—
1099	C₂×D₄	—	43	8	no	—
1100	C₂×D₄	—	43	8	no	—
1101	C₂×D₄	—	43	8	no	—
1102	C₂×D₄	—	43	8	no	—
1103	C₂×D₄	—	43	8	no	—
1104	C₂×D₄	—	43	4	no	—
1105	C₂×D₄	—	43	4	no	—
1106	C₂×D₄	—	43	8	no	—
1107	C₂×D₄	—	43	4	no	—
1108	C₂×D₄	—	43	8	no	—
1109	C₂×D₄	—	43	8	no	—
1110	C₂×D₄	—	43	8	no	—
1111	C₂×D₄	—	86	4	no	—
1112	C₂×D₄	—	86	8	no	—
1113	C₂×D₄	—	86	4	no	—
1114	C₂×D₄	—	86	8	no	—
1115	C₂×D₄	—	86	4	no	—
1116	C₂×D₄	—	86	8	no	—
1117	C₂×D₄	—	86	8	no	—
1118	C₂×D₄	—	86	8	no	—
1119	C₂×D₄	—	86	32	no	—
1120	C₂×D₄	—	86	32	no	—
1121	C₂×D₄	—	86	4	no	—
1122	C₂×D₄	—	86	4	no	—
1123	C₂×D₄	—	172	4	no	—
1124	C₂×D₄	—	172	4	no	—
1125	C₂×D₄	—	172	4	no	—
1126	C₂×D₄	—	172	32	no	—
1127	C₂×D₄	—	172	32	no	—
1128	C₂×D₄	—	172	4	no	—
1129	C₂×D₄	—	172	4	no	—
1130	C₂×D₄	—	172	4	no	—
1131	C₂×D₄	—	172	4	no	—
1132	C₂×D₄	—	172	4	no	—
1133	C₂×D₄	—	172	4	no	—
1134	C₂×D₄	—	172	32	no	—
1135	C₂×D₄	#10621898	1	8	yes	complemented
1136	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1137	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1138	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1139	C₂²×C₄	—	2	4	no	—
1140	C₂²×C₄	—	4	4	no	—
1141	C₂²×C₄	—	4	4	no	—
1142	C₂²×C₄	—	4	4	no	—
1143	C₂²×C₄	—	4	4	no	—
1144	C₂²×C₄	—	43	1	no	—
1145	C₂²×C₄	—	43	8	no	—
1146	C₂²×C₄	—	43	1	no	—
1147	C₂²×C₄	—	43	1	no	—
1148	C₂²×C₄	—	43	1	no	—
1149	C₂²×C₄	—	43	2	no	—
1150	C₂²×C₄	—	43	1	no	—
1151	C₂²×C₄	—	43	1	no	—
1152	C₂²×C₄	—	43	2	no	—
1153	C₂²×C₄	—	43	8	no	—
1154	C₂²×C₄	—	43	4	no	—
1155	C₂²×C₄	—	43	4	no	—
1156	C₂²×C₄	—	43	4	no	—
1157	C₂²×C₄	—	43	4	no	—
1158	C₂²×C₄	—	43	8	no	—
1159	C₂²×C₄	—	43	8	no	—
1160	C₂²×C₄	—	43	8	no	—
1161	C₂²×C₄	—	43	8	no	—
1162	C₂²×C₄	—	43	8	no	—
1163	C₂²×C₄	—	86	4	no	—
1164	C₂²×C₄	—	86	8	no	—
1165	C₂²×C₄	—	86	4	no	—
1166	C₂²×C₄	—	86	8	no	—
1167	C₂²×C₄	—	86	4	no	—
1168	C₂²×C₄	—	86	4	no	—
1169	C₂²×C₄	—	172	4	no	—
1170	C₂²×C₄	—	172	4	no	—
1171	C₂²×C₄	—	172	4	no	—
1172	C₂²×C₄	—	172	4	no	—
1173	C₂²×C₄	—	172	32	no	—
1174	C₂²×C₄	—	172	4	no	—
1175	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1176	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1177	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1178	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1179	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1180	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1181	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1182	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1183	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1184	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1185	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1186	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1187	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1188	C₄⋊C₄	—	43	4	no	—
1189	C₄⋊C₄	—	43	8	no	—
1190	C₄⋊C₄	—	43	4	no	—
1191	C₄⋊C₄	—	43	8	no	—
1192	C₄⋊C₄	—	43	8	no	—
1193	C₄⋊C₄	—	43	8	no	—
1194	C₄⋊C₄	—	43	4	no	—
1195	C₄⋊C₄	—	43	4	no	—
1196	C₄⋊C₄	—	43	4	no	—
1197	C₄⋊C₄	—	43	4	no	—
1198	C₄⋊C₄	—	43	4	no	—
1199	C₄⋊C₄	—	43	4	no	—
1200	C₄⋊C₄	—	43	8	no	—
1201	C₄⋊C₄	—	43	8	no	—
1202	C₄⋊C₄	—	43	4	no	—
1203	C₄⋊C₄	—	43	4	no	—
1204	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1205	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1206	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1207	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1208	C₂²⋊C₄	—	43	8	no	—
1209	C₂²⋊C₄	—	43	8	no	—
1210	C₂²⋊C₄	—	43	4	no	—
1211	C₂²⋊C₄	—	43	4	no	—
1212	C₂²⋊C₄	—	43	8	no	—
1213	C₂²⋊C₄	—	43	8	no	—
1214	C₂²⋊C₄	—	43	4	no	—
1215	C₂²⋊C₄	—	43	8	no	—
1216	C₂²⋊C₄	—	43	4	no	—
1217	C₂²⋊C₄	—	43	8	no	—
1218	C₂²⋊C₄	—	43	8	no	—
1219	C₂²⋊C₄	—	43	8	no	—
1220	C₂²⋊C₄	—	43	8	no	—
1221	C₂²⋊C₄	—	43	8	no	—
1222	C₂²⋊C₄	—	43	8	no	—
1223	C₂²⋊C₄	—	43	4	no	—
1224	C₂²⋊C₄	—	43	4	no	—
1225	C₂²⋊C₄	—	43	4	no	—
1226	C₂²⋊C₄	—	43	4	no	—
1227	C₂²⋊C₄	—	43	8	no	—
1228	C₂²⋊C₄	—	43	8	no	—
1229	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1230	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1231	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1232	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1233	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1234	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1235	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1236	C₄²	—	43	4	no	—
1237	C₄²	—	43	4	no	—
1238	C₄²	—	43	4	no	—
1239	C₄²	—	43	8	no	—
1240	C₄²	—	43	4	no	—
1241	C₄²	C₂³×D₄₃	1	4	yes	—
1242	C₄²	C₂³×D₄₃	1	8	yes	—
1243	C₄²	C₂³×D₄₃	1	4	yes	—
1244	C₂³	—	2	4	no	—
1245	C₂³	—	2	4	no	—
1246	C₂³	—	2	2	no	—
1247	C₂³	—	2	4	no	—
1248	C₂³	—	2	4	no	—
1249	C₂³	—	2	4	no	—
1250	C₂³	—	2	2	no	—
1251	C₂³	—	2	2	no	—
1252	C₂³	—	2	16	no	—
1253	C₂³	—	4	8	no	—
1254	C₂³	—	4	8	no	—
1255	C₂³	—	8	16	no	—
1256	C₂³	—	43	4	no	—
1257	C₂³	—	43	2	no	—
1258	C₂³	—	43	2	no	—
1259	C₂³	—	43	4	no	—
1260	C₂³	—	43	4	no	—
1261	C₂³	—	86	16	no	—
1262	C₂³	—	86	2	no	—
1263	C₂³	—	86	2	no	—
1264	C₂³	—	86	16	no	—
1265	C₂³	—	86	2	no	—
1266	C₂³	—	86	16	no	—
1267	C₂³	—	86	4	no	—
1268	C₂³	—	86	4	no	—
1269	C₂³	—	86	4	no	—
1270	C₂³	—	86	4	no	—
1271	C₂³	—	86	4	no	—
1272	C₂³	—	86	2	no	—
1273	C₂³	—	86	2	no	—
1274	C₂³	—	86	4	no	—
1275	C₂³	—	344	16	no	—
1276	C₂³	—	172	8	no	—
1277	C₂³	—	172	8	no	—
1278	C₂³	—	172	8	no	—
1279	C₂³	—	172	32	no	—
1280	C₂³	C₂×#10621898	1	8	yes	—
1281	C₂³	C₂⁴×D₄₃	1	2	yes	—
1282	C₂³	C₂⁴×D₄₃	1	4	yes	—
1283	C₂³	C₂⁴×D₄₃	1	4	yes	—
1284	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1285	Q₈	—	86	8	no	—
1286	Q₈	—	172	8	no	—
1287	D₄	—	2	16	no	—
1288	D₄	—	2	8	no	—
1289	D₄	—	86	8	no	—
1290	D₄	—	86	16	no	—
1291	D₄	—	86	8	no	—
1292	D₄	—	86	16	no	—
1293	D₄	—	86	8	no	—
1294	D₄	—	86	16	no	—
1295	D₄	—	86	16	no	—
1296	D₄	—	86	16	no	—
1297	D₄	—	86	8	no	—
1298	D₄	—	86	8	no	—
1299	D₄	—	172	8	no	—
1300	D₄	—	172	8	no	—
1301	D₄	—	172	8	no	—
1302	D₄	—	172	8	no	—
1303	D₄	—	172	8	no	—
1304	D₄	—	172	8	no	—
1305	D₄	—	172	8	no	—
1306	D₄	—	172	8	no	—
1307	D₄	—	172	8	no	—
1308	D₄	C₂×#10621898	1	16	yes	complemented
1309	C₂×C₄	—	2	2	no	—
1310	C₂×C₄	—	2	2	no	—
1311	C₂×C₄	—	2	4	no	—
1312	C₂×C₄	—	2	2	no	—
1313	C₂×C₄	—	2	2	no	—
1314	C₂×C₄	—	2	4	no	—
1315	C₂×C₄	—	2	2	no	—
1316	C₂×C₄	—	2	8	no	—
1317	C₂×C₄	—	4	8	no	—
1318	C₂×C₄	—	4	8	no	—
1319	C₂×C₄	—	4	8	no	—
1320	C₂×C₄	—	4	8	no	—
1321	C₂×C₄	—	43	4	no	—
1322	C₂×C₄	—	43	2	no	—
1323	C₂×C₄	—	43	2	no	—
1324	C₂×C₄	—	43	2	no	—
1325	C₂×C₄	—	43	2	no	—
1326	C₂×C₄	—	43	4	no	—
1327	C₂×C₄	—	43	2	no	—
1328	C₂×C₄	—	43	2	no	—
1329	C₂×C₄	—	43	4	no	—
1330	C₂×C₄	—	86	8	no	—
1331	C₂×C₄	—	86	16	no	—
1332	C₂×C₄	—	86	8	no	—
1333	C₂×C₄	—	86	16	no	—
1334	C₂×C₄	—	86	2	no	—
1335	C₂×C₄	—	86	2	no	—
1336	C₂×C₄	—	86	4	no	—
1337	C₂×C₄	—	86	2	no	—
1338	C₂×C₄	—	86	2	no	—
1339	C₂×C₄	—	86	4	no	—
1340	C₂×C₄	—	86	2	no	—
1341	C₂×C₄	—	86	8	no	—
1342	C₂×C₄	—	86	8	no	—
1343	C₂×C₄	—	172	8	no	—
1344	C₂×C₄	—	172	8	no	—
1345	C₂×C₄	—	172	8	no	—
1346	C₂×C₄	—	172	8	no	—
1347	C₂×C₄	—	172	8	no	—
1348	C₂×C₄	C₂×#10621898	1	4	yes	—
1349	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1350	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1351	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1352	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1353	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1354	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1355	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1356	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1357	C₂²	—	2	16	no	—
1358	C₂²	—	2	4	no	—
1359	C₂²	—	2	4	no	—
1360	C₂²	—	2	2	no	—
1361	C₂²	—	2	4	no	—
1362	C₂²	—	2	4	no	—
1363	C₂²	—	2	4	no	—
1364	C₂²	—	2	2	no	—
1365	C₂²	—	2	2	no	—
1366	C₂²	—	4	4	no	—
1367	C₂²	—	4	8	no	—
1368	C₂²	—	8	16	no	—
1369	C₂²	—	43	4	no	—
1370	C₂²	—	86	8	no	—
1371	C₂²	—	86	2	no	—
1372	C₂²	—	86	2	no	—
1373	C₂²	—	86	2	no	—
1374	C₂²	—	86	4	no	—
1375	C₂²	—	86	4	no	—
1376	C₂²	—	86	4	no	—
1377	C₂²	—	86	4	no	—
1378	C₂²	—	86	4	no	—
1379	C₂²	—	86	2	no	—
1380	C₂²	—	86	2	no	—
1381	C₂²	—	86	4	no	—
1382	C₂²	—	344	16	no	—
1383	C₂²	—	172	32	no	—
1384	C₂²	—	172	4	no	—
1385	C₂²	—	172	8	no	—
1386	C₂²	—	172	8	no	—
1387	C₂²	C₂²×#10621898	1	8	yes	—
1388	C₂²	C₂²×#10621898	1	2	yes	—
1389	C₂²	H(5,𝔽₂)×D₄₃	1	2	yes	—
1390	C₂²	H(5,𝔽₂)×D₄₃	1	2	yes	—
1391	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1392	C₄	—	2	2	no	—
1393	C₄	—	2	2	no	—
1394	C₄	—	2	4	no	—
1395	C₄	—	2	2	no	—
1396	C₄	—	2	2	no	—
1397	C₄	—	2	4	no	—
1398	C₄	—	2	2	no	—
1399	C₄	—	43	4	no	—
1400	C₄	—	86	2	no	—
1401	C₄	—	86	2	no	—
1402	C₄	—	86	4	no	—
1403	C₄	—	86	2	no	—
1404	C₄	—	86	2	no	—
1405	C₄	—	86	4	no	—
1406	C₄	—	86	2	no	—
1407	C₄	C₂²×#10621898	1	4	yes	—
1408	C₂	—	2	8	no	—
1409	C₂	—	4	2	no	—
1410	C₂	—	4	4	no	—
1411	C₂	—	86	4	no	—
1412	C₂	—	172	2	no	—
1413	C₂	—	172	4	no	—
1414	C₂	—	172	4	no	—
1415	C₂	#19148617	1	4	yes	direct product factor
1416	C₂	C₂³×#10621898	1	1	yes	characteristic
1417	C₂	C₂×H(5,𝔽₂)×D₄₃	1	1	yes	characteristic
1418	C₂	C₂×H(5,𝔽₂)×D₄₃	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₄₃
commutator, cosocle	C₂²×C₄₃	C₂⁶
Frattini	C₂²	C₂⁵×D₄₃
Fitting	C₂×C₄₃×#518	C₂
socle	C₂³×C₄₃	C₂⁵
hypercenter	C₂×#518	D₄₃
hypocenter	C₄₃	C₂×#3519
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂×#518

Complements

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

N	H ≅ G/N	type
1. #19148617	C₂	direct (N × H)
2. C₂×#14583612	C₂	semidirect
3. C₂×#14583608	C₂	semidirect
4. C₂×#14583599	C₂	semidirect
5. C₂×#14583598	C₂	semidirect
6. C₂×#14583593	C₂	semidirect
7. C₂×#14583570	C₂	semidirect
8. C₂×#14583545	C₂	semidirect
9. C₂×#14583539	C₂	semidirect
10. C₂×#14583539	C₂	semidirect
11. C₂×D₄×D₁₇₂	C₂	semidirect
12. C₂×D₄×C₂²⋊D₄₃	C₂	semidirect
13. C₂×D₄×C₂²⋊D₄₃	C₂	semidirect
14. C₂×#14583504	C₂	semidirect
15. C₂×#14583500	C₂	semidirect
16. C₂×#14583487	C₂	semidirect
17. C₂×#14583482	C₂	semidirect
18. C₂×#14583446	C₂	semidirect
19. C₂×#14583427	C₂	semidirect
20. C₂×#14583408	C₂	semidirect
21. C₂²×#13063298	C₂	semidirect
22. C₂×#14583371	C₂	semidirect
23. C₂×C₄×D₄×D₄₃	C₂	semidirect
24. C₂×C₄₃×#518	C₂	semidirect
25. C₂²×#10621898	C₂²	semidirect
26. C₂²×#10621898	C₂²	semidirect
27. C₂³×D₁₇₂	C₂²	semidirect
28. C₂³×C₂²⋊D₄₃	C₂²	semidirect
29. C₂³×C₂²⋊D₄₃	C₂²	semidirect
32. C₂³×C₄×D₄₃	C₂²	semidirect
33. #14583612	C₂²	semidirect
34. #14583608	C₂²	semidirect
35. #14583599	C₂²	semidirect
36. #14583598	C₂²	semidirect
37. #14583593	C₂²	semidirect
38. #14583570	C₂²	semidirect
39. #14583545	C₂²	semidirect
40. #14583539	C₂²	semidirect
41. #14583539	C₂²	semidirect
42. D₄×D₁₇₂	C₂²	semidirect
43. D₄×C₂²⋊D₄₃	C₂²	semidirect
44. D₄×C₂²⋊D₄₃	C₂²	semidirect
45. #14583504	C₂²	semidirect
46. #14583500	C₂²	semidirect
47. #14583487	C₂²	semidirect
48. #14583482	C₂²	semidirect
49. #14583446	C₂²	semidirect
50. C₂×#13063324	C₂²	semidirect
51. C₂×#13063322	C₂²	semidirect
52. C₂×#13063321	C₂²	semidirect
53. C₂×#13063321	C₂²	semidirect
54. #14583427	C₂²	semidirect
55. C₂×#13063320	C₂²	semidirect
56. C₂×#13063319	C₂²	semidirect
57. C₂×#13063318	C₂²	semidirect
58. C₂×#13063318	C₂²	semidirect
59. C₂×#13063317	C₂²	semidirect
60. C₂×#13063316	C₂²	semidirect
61. C₂×#13063315	C₂²	semidirect
62. C₂×#13063313	C₂²	semidirect
63. C₂×#13063311	C₂²	semidirect
64. C₂×#13063311	C₂²	semidirect
65. C₂×#13063311	C₂²	semidirect
66. #14583408	C₂²	semidirect
67. C₂×#13063310	C₂²	semidirect
68. C₂×#13063310	C₂²	semidirect
69. C₂×#13063310	C₂²	semidirect
70. C₂×#13063308	C₂²	semidirect
71. C₂×#13063308	C₂²	semidirect
72. C₂×#13063307	C₂²	semidirect
73. C₂×#13063307	C₂²	semidirect
74. C₂×#13063307	C₂²	semidirect
75. C₂×#13063304	C₂²	semidirect
76. C₂×#13063303	C₂²	semidirect
77. C₂×#13063302	C₂²	semidirect
78. C₂×#13063302	C₂²	semidirect
79. C₂×#13063300	C₂²	semidirect
80. C₂×#13063300	C₂²	semidirect
81. C₂×#13063299	C₂²	semidirect
82. C₂×#13063299	C₂²	semidirect
83. C₂×#13063299	C₂²	semidirect
84. C₂×#13063299	C₂²	semidirect
85. C₂×#13063299	C₂²	semidirect
87. C₂×#13063298	C₂²	semidirect
88. C₂×#13063298	C₂²	semidirect
89. C₂×#13063298	C₂²	semidirect
90. C₂×#13063298	C₂²	semidirect
91. C₂×#13063298	C₂²	semidirect
92. C₂×#13063298	C₂²	semidirect
93. C₂×#13063298	C₂²	semidirect
94. C₂×#13063298	C₂²	semidirect
95. C₂×#13063298	C₂²	semidirect
96. C₂×#13063298	C₂²	semidirect
97. C₂×#13063297	C₂²	semidirect
98. C₂×#13063297	C₂²	semidirect
99. C₂×#13063296	C₂²	semidirect
100. C₂×#13063296	C₂²	semidirect
101. C₂×#13063295	C₂²	semidirect
102. C₂×#13063295	C₂²	semidirect
103. C₂×#13063294	C₂²	semidirect
104. C₂×#13063294	C₂²	semidirect
105. C₂×#13063293	C₂²	semidirect
106. C₂×#13063293	C₂²	semidirect
107. #14583371	C₂²	semidirect
108. C₂×C₄×Dic₈₆	C₂²	semidirect
109. C₂×C₄×D₁₇₂	C₂²	semidirect
110. C₂×C₄×D₁₇₂	C₂²	semidirect
111. C₂×C₄×D₁₇₂	C₂²	semidirect
112. C₂×C₄×D₁₇₂	C₂²	semidirect
115. C₂×#13063287	C₂²	semidirect
116. C₂×#13063287	C₂²	semidirect
117. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
118. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
119. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
120. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
121. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
122. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
123. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
124. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
125. C₄×D₄×D₄₃	C₂²	semidirect
126. C₂×#13063283	C₂²	semidirect
127. C₂×#13063282	C₂²	semidirect
128. C₂×#13063282	C₂²	semidirect
129. C₂²×Dic₄₃⋊C₄	C₂²	semidirect
130. C₂×C₄⋊C₄×D₄₃	C₂²	semidirect
131. C₂²×(C₂×D₄₃)⋊C₄	C₂²	semidirect
132. C₂×C₂²⋊C₄×D₄₃	C₂²	semidirect
133. C₂×C₂²⋊C₄×D₄₃	C₂²	semidirect
134. C₂×C₄²×D₄₃	C₂²	semidirect
136. C₄₃×#518	C₂²	semidirect
139. C₂×C₄×D₄×C₄₃	C₂²	semidirect
140. C₂×C₄×D₄×C₄₃	C₂²	semidirect
141. C₂×C₄×D₄×C₄₃	C₂²	semidirect
142. C₂×C₄×D₄×C₄₃	C₂²	semidirect
143. C₂×#117×C₄₃	C₂²	semidirect
144. C₂×#117×C₄₃	C₂²	semidirect
145. C₂²×C₂²⋊C₄×C₄₃	C₂²	semidirect
146. C₂²×C₂²⋊C₄×C₄₃	C₂²	semidirect
151. C₂×#10621898	C₂³	semidirect
152. C₂×#10621898	C₂³	semidirect
163. C₂²×D₁₇₂	C₂³	semidirect
178. C₂²×C₂²⋊D₄₃	C₂³	semidirect
179. C₂²×C₂²⋊D₄₃	C₂³	semidirect
196. C₂²×C₄×D₄₃	C₂³	semidirect
197. #13063324	C₂³	semidirect
198. #13063322	C₂³	semidirect
199. #13063321	C₂³	semidirect
200. #13063321	C₂³	semidirect
201. #13063320	C₂³	semidirect
202. #13063319	C₂³	semidirect
203. #13063318	C₂³	semidirect
204. #13063318	C₂³	semidirect
205. #13063317	C₂³	semidirect
206. #13063316	C₂³	semidirect
207. #13063315	C₂³	semidirect
208. #13063313	C₂³	semidirect
209. #13063311	C₂³	semidirect
210. #13063311	C₂³	semidirect
211. #13063311	C₂³	semidirect
212. #13063310	C₂³	semidirect
213. #13063310	C₂³	semidirect
214. #13063310	C₂³	semidirect
215. #13063308	C₂³	semidirect
216. #13063308	C₂³	semidirect
217. #13063307	C₂³	semidirect
218. #13063307	C₂³	semidirect
219. #13063307	C₂³	semidirect
220. #13063304	C₂³	semidirect
221. #13063303	C₂³	semidirect
222. #13063302	C₂³	semidirect
223. #13063302	C₂³	semidirect
224. #13063300	C₂³	semidirect
225. #13063300	C₂³	semidirect
226. #13063299	C₂³	semidirect
227. #13063299	C₂³	semidirect
228. #13063299	C₂³	semidirect
229. #13063299	C₂³	semidirect
230. #13063299	C₂³	semidirect
232. #13063298	C₂³	semidirect
233. #13063298	C₂³	semidirect
234. #13063298	C₂³	semidirect
235. #13063298	C₂³	semidirect
236. #13063298	C₂³	semidirect
237. #13063298	C₂³	semidirect
238. #13063298	C₂³	semidirect
239. #13063298	C₂³	semidirect
240. #13063298	C₂³	semidirect
241. #13063297	C₂³	semidirect
242. #13063297	C₂³	semidirect
243. #13063296	C₂³	semidirect
244. #13063296	C₂³	semidirect
245. #13063295	C₂³	semidirect
246. #13063295	C₂³	semidirect
247. #13063294	C₂³	semidirect
248. #13063294	C₂³	semidirect
249. #13063293	C₂³	semidirect
250. #13063293	C₂³	semidirect
251. C₄×Dic₈₆	C₂³	semidirect
252. C₄×D₁₇₂	C₂³	semidirect
253. C₄×D₁₇₂	C₂³	semidirect
254. C₄×D₁₇₂	C₂³	semidirect
255. C₄×D₁₇₂	C₂³	semidirect
258. #13063287	C₂³	semidirect
259. #13063287	C₂³	semidirect
260. C₄×C₂²⋊D₄₃	C₂³	semidirect
261. C₄×C₂²⋊D₄₃	C₂³	semidirect
262. C₄×C₂²⋊D₄₃	C₂³	semidirect
263. C₄×C₂²⋊D₄₃	C₂³	semidirect
264. C₄×C₂²⋊D₄₃	C₂³	semidirect
265. C₄×C₂²⋊D₄₃	C₂³	semidirect
266. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
267. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
268. #13063283	C₂³	semidirect
269. #13063282	C₂³	semidirect
270. #13063282	C₂³	semidirect
287. C₂×Dic₄₃⋊C₄	C₂³	semidirect
288. C₄⋊C₄×D₄₃	C₂³	semidirect
310. C₂×(C₂×D₄₃)⋊C₄	C₂³	semidirect
311. C₂²⋊C₄×D₄₃	C₂³	semidirect
312. C₂²⋊C₄×D₄₃	C₂³	semidirect
318. C₄²×D₄₃	C₂³	semidirect
332. C₄×D₄×C₄₃	C₂³	semidirect
333. C₄×D₄×C₄₃	C₂³	semidirect
334. C₄×D₄×C₄₃	C₂³	semidirect
335. C₄×D₄×C₄₃	C₂³	semidirect
336. #117×C₄₃	C₂³	semidirect
337. #117×C₄₃	C₂³	semidirect
349. C₂×C₂²⋊C₄×C₄₃	C₂³	semidirect
350. C₂×C₂²⋊C₄×C₄₃	C₂³	semidirect
376. C₂×D₄×C₄₃	#41	semidirect
577. D₄×C₄₃	C₂×#41	semidirect
721. C₂×#518	D₄₃	semidirect
726. C₂×C₄₃	#3519	semidirect
818. #518	C₂×D₄₃	semidirect
839. C₂×C₄×D₄	C₂×D₄₃	semidirect
840. C₂×C₄×D₄	C₂×D₄₃	semidirect
841. C₂×C₄×D₄	C₂×D₄₃	semidirect
842. C₂×C₄×D₄	C₂×D₄₃	semidirect
846. C₂×#117	C₂×D₄₃	semidirect
847. C₂×#117	C₂×D₄₃	semidirect
853. C₂²×C₂²⋊C₄	C₂×D₄₃	semidirect
854. C₂²×C₂²⋊C₄	C₂×D₄₃	semidirect
856. C₄₃	C₂×#3519	semidirect
991. C₄×D₄	C₂²×D₄₃	semidirect
992. C₄×D₄	C₂²×D₄₃	semidirect
993. C₄×D₄	C₂²×D₄₃	semidirect
994. C₄×D₄	C₂²×D₄₃	semidirect
998. #117	C₂²×D₄₃	semidirect
999. #117	C₂²×D₄₃	semidirect
1053. C₂×C₂²⋊C₄	C₂²×D₄₃	semidirect
1054. C₂×C₂²⋊C₄	C₂²×D₄₃	semidirect
1135. C₂×D₄	#10621898	semidirect
1308. D₄	C₂×#10621898	semidirect
1415. C₂	#19148617	direct (N × H)

Maximal subgroups

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

subgroup	index
#19148617	2
C₂×#14583612	2
C₂×#14583608	2
C₂×#14583599	2
C₂×#14583598	2
C₂×#14583593	2
C₂×#14583570	2
C₂×#14583545	2
C₂×#14583539	2
C₂×D₄×D₁₇₂	2
C₂×D₄×C₂²⋊D₄₃	2
C₂×#14583504	2
C₂×#14583500	2
C₂×#14583487	2
C₂×#14583482	2
C₂×#14583446	2
C₂×#14583427	2
C₂×#14583408	2
C₂²×#13063298	2
C₂×#14583371	2
C₂×C₄×D₄×D₄₃	2
C₂×C₄₃×#518	2
C₂×#3519	43

Subgroups — C2×#19148617 #26004586

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#19148617 #26004586