Subgroups — C₂×#19149112 #26003930

Order 11008.

8122 conjugacy classes of subgroups.

The subgroup lattice has 1416 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#19149112	C₂	1	32	yes	maximal, direct product factor
2	C₂×#14583645	C₂	1	2	yes	maximal, complemented
3	C₂×#14583641	C₂	1	2	yes	maximal, complemented
4	C₂×#14583634	C₂	1	1	yes	maximal, characteristic, complemented
5	C₂×#14583631	C₂	1	1	yes	maximal, characteristic, complemented
6	C₂×#14583560	C₂	1	1	yes	maximal, characteristic, complemented
7	C₂×#14583544	C₂	1	2	yes	maximal, complemented
8	C₂×#14583540	C₂	1	1	yes	maximal, characteristic, complemented
9	C₂×#14583538	C₂	1	2	yes	maximal, complemented
10	C₂×#14583537	C₂	1	1	yes	maximal, characteristic, complemented
11	C₂×D₄×D₁₇₂	C₂	1	1	yes	maximal, characteristic, complemented
12	C₂×#14583533	C₂	1	1	yes	maximal, characteristic, complemented
13	C₂×#14583522	C₂	1	1	yes	maximal, characteristic, complemented
14	C₂×#14583521	C₂	1	1	yes	maximal, characteristic, complemented
15	C₂×#14583489	C₂	1	2	yes	maximal, complemented
16	C₂×#14583483	C₂	1	2	yes	maximal, complemented
17	C₂×#14583482	C₂	1	2	yes	maximal, complemented
18	C₂×#14583467	C₂	1	1	yes	maximal, characteristic, complemented
19	C₂×#14583463	C₂	1	1	yes	maximal, characteristic, complemented
20	C₂×#14583457	C₂	1	2	yes	maximal, complemented
21	C₂×#14583444	C₂	1	1	yes	maximal, characteristic, complemented
22	C₂×#14583429	C₂	1	1	yes	maximal, characteristic, complemented
23	C₂²×#13063314	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×C₄₃×#548	C₂	1	1	yes	maximal, characteristic, complemented
25	C₂²×#10621902	C₂²	1	1	yes	characteristic, complemented
26	C₂²×#10621900	C₂²	1	2	yes	complemented
27	C₂³×D₁₇₂	C₂²	1	1	yes	characteristic
28	C₂³×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
29	C₂²×D₄×D₄₃	C₂²	1	1	yes	characteristic, complemented
30	C₂²×D₄×D₄₃	C₂²	1	2	yes	complemented
31	C₂²×D₄×D₄₃	C₂²	1	2	yes	complemented
32	#14583645	C₂²	1	32	yes	complemented
33	#14583641	C₂²	1	32	yes	complemented
34	#14583634	C₂²	1	16	yes	complemented
35	#14583631	C₂²	1	16	yes	complemented
36	#14583560	C₂²	1	16	yes	complemented
37	#14583544	C₂²	1	32	yes	complemented
38	#14583540	C₂²	1	16	yes	complemented
39	#14583538	C₂²	1	32	yes	complemented
40	#14583537	C₂²	1	16	yes	complemented
41	D₄×D₁₇₂	C₂²	1	16	yes	complemented
42	#14583533	C₂²	1	16	yes	complemented
43	#14583522	C₂²	1	16	yes	complemented
44	#14583521	C₂²	1	16	yes	complemented
45	#14583489	C₂²	1	32	yes	complemented
46	#14583483	C₂²	1	32	yes	complemented
47	#14583482	C₂²	1	32	yes	complemented
48	#14583467	C₂²	1	16	yes	complemented
49	#14583463	C₂²	1	16	yes	complemented
50	#14583457	C₂²	1	32	yes	complemented
51	#14583444	C₂²	1	16	yes	complemented
52	C₂×#13063324	C₂²	1	1	yes	characteristic, complemented
53	C₂×#13063322	C₂²	1	1	yes	characteristic
54	C₂×#13063321	C₂²	1	1	yes	characteristic
55	C₂×#13063321	C₂²	1	1	yes	characteristic, complemented
56	#14583429	C₂²	1	16	yes	complemented
57	C₂×#13063320	C₂²	1	1	yes	characteristic, complemented
58	C₂×#13063320	C₂²	1	2	yes	complemented
59	C₂×#13063319	C₂²	1	2	yes	complemented
60	C₂×#13063318	C₂²	1	1	yes	characteristic, complemented
61	C₂×#13063315	C₂²	1	1	yes	characteristic, complemented
62	C₂×#13063314	C₂²	1	1	yes	characteristic, complemented
63	C₂×#13063314	C₂²	1	1	yes	characteristic, complemented
64	C₂×#13063314	C₂²	1	1	yes	characteristic, complemented
65	C₂×#13063314	C₂²	1	2	yes	complemented
66	C₂×#13063314	C₂²	1	1	yes	characteristic, complemented
67	C₂×#13063314	C₂²	1	1	yes	characteristic, complemented
68	C₂×#13063314	C₂²	1	2	yes	complemented
69	C₂×#13063314	C₂²	1	2	yes	complemented
70	C₂×#13063314	C₂²	1	16	yes	complemented
71	C₂×#13063313	C₂²	1	2	yes	complemented
72	C₂×#13063313	C₂²	1	2	yes	complemented
73	C₂×#13063311	C₂²	1	2	yes	complemented
74	C₂×#13063311	C₂²	1	1	yes	characteristic, complemented
75	C₂×#13063311	C₂²	1	2	yes	complemented
76	C₂×#13063311	C₂²	1	2	yes	complemented
77	C₂×#13063310	C₂²	1	2	yes	complemented
78	C₂×#13063310	C₂²	1	2	yes	complemented
79	C₂×#13063310	C₂²	1	2	yes	complemented
80	C₂×#13063310	C₂²	1	2	yes	complemented
81	C₂×#13063309	C₂²	1	1	yes	characteristic, complemented
82	C₂×#13063309	C₂²	1	2	yes	complemented
83	C₂×#13063308	C₂²	1	2	yes	complemented
84	C₂×#13063307	C₂²	1	2	yes	complemented
85	C₂×#13063307	C₂²	1	2	yes	complemented
86	C₂×#13063306	C₂²	1	1	yes	characteristic, complemented
87	C₂×#13063305	C₂²	1	2	yes	complemented
88	C₂×#13063303	C₂²	1	2	yes	complemented
89	C₂×#13063302	C₂²	1	1	yes	characteristic, complemented
90	C₂×#13063301	C₂²	1	1	yes	characteristic, complemented
91	C₂×#13063301	C₂²	1	2	yes	complemented
92	C₂×#13063300	C₂²	1	1	yes	characteristic
93	C₂×#13063300	C₂²	1	2	yes	complemented
94	C₂×#13063300	C₂²	1	2	yes	complemented
95	C₂×#13063299	C₂²	1	1	yes	characteristic
96	C₂×#13063299	C₂²	1	1	yes	characteristic, complemented
97	C₂×#13063299	C₂²	1	2	yes	complemented
98	C₂×#13063299	C₂²	1	2	yes	complemented
99	C₂×#13063299	C₂²	1	2	yes	complemented
100	C₂×#13063298	C₂²	1	2	yes	complemented
101	C₂×#13063298	C₂²	1	2	yes	complemented
102	C₂×#13063298	C₂²	1	2	yes	complemented
103	C₂×#13063297	C₂²	1	1	yes	characteristic
104	C₂×#13063297	C₂²	1	2	yes	complemented
105	C₂×#13063297	C₂²	1	2	yes	complemented
106	C₂×#13063295	C₂²	1	2	yes	complemented
107	C₂×#13063295	C₂²	1	2	yes	complemented
108	C₂×#13063295	C₂²	1	2	yes	complemented
109	C₂×#13063295	C₂²	1	2	yes	complemented
110	C₂×#13063295	C₂²	1	2	yes	complemented
111	C₂×#13063295	C₂²	1	2	yes	complemented
112	C₂×#13063293	C₂²	1	2	yes	complemented
113	C₂×#13063293	C₂²	1	2	yes	complemented
114	C₂×#13063293	C₂²	1	2	yes	complemented
115	C₂×#13063293	C₂²	1	2	yes	complemented
116	C₂×Q₈×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
117	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
118	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
119	C₂×C₄×D₁₇₂	C₂²	1	2	yes	complemented
120	C₂×D₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
121	C₂×#13063287	C₂²	1	1	yes	characteristic, complemented
122	C₂×#13063287	C₂²	1	1	yes	characteristic, complemented
123	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic, complemented
124	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic, complemented
125	C₂×C₄×C₂²⋊D₄₃	C₂²	1	2	yes	complemented
126	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
127	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	2	yes	complemented
128	C₂×#13063284	C₂²	1	1	yes	characteristic, complemented
129	C₂×#13063282	C₂²	1	1	yes	characteristic, complemented
130	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	2	yes	complemented
131	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	2	yes	complemented
132	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	2	yes	complemented
133	C₂×C₂²⋊C₄×D₄₃	C₂²	1	2	yes	complemented
134	C₂²×C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
135	C₂²×#41×C₄₃	C₂²	1	1	yes	characteristic, complemented
136	C₂³×Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
137	C₄₃×#548	C₂²	1	16	yes	complemented
138	C₂×#124×C₄₃	C₂²	1	1	yes	characteristic, complemented
139	C₂×#124×C₄₃	C₂²	1	2	yes	complemented
140	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
141	C₂×C₂²⋊Q₈×C₄₃	C₂²	1	2	yes	complemented
142	C₂×#121×C₄₃	C₂²	1	1	yes	characteristic, complemented
143	C₂×#121×C₄₃	C₂²	1	2	yes	complemented
144	C₂×C₄×Q₈×C₄₃	C₂²	1	1	yes	characteristic, complemented
145	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
146	C₂×C₄×D₄×C₄₃	C₂²	1	2	yes	complemented
147	C₂⁴×D₄₃	C₂³	1	2	yes	—
148	C₂⁴×D₄₃	C₂³	1	2	yes	—
149	C₂⁴×D₄₃	C₂³	1	2	yes	—
150	C₂×#10621902	—	4	4	no	—
151	C₂×#10621902	C₂³	1	8	yes	complemented
152	C₂×#10621900	—	4	8	no	—
153	C₂×#10621900	C₂³	1	16	yes	complemented
154	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
155	C₂²×Dic₈₆	C₂³	1	2	yes	—
156	C₂²×D₁₇₂	—	4	4	no	—
157	C₂²×D₁₇₂	—	4	4	no	—
158	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
159	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
160	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
161	C₂²×D₁₇₂	C₂³	1	2	yes	—
162	C₂²×D₁₇₂	C₂³	1	2	yes	—
163	C₂²×D₁₇₂	C₂³	1	2	yes	—
164	C₂²×D₁₇₂	C₂³	1	2	yes	—
165	C₂²×D₁₇₂	C₂³	1	2	yes	—
166	C₂²×D₁₇₂	C₂³	1	2	yes	—
167	C₂²×D₁₇₂	C₂³	1	8	yes	—
168	C₂²×D₁₇₂	C₂³	1	8	yes	complemented
169	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
170	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
171	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
172	C₂²×C₂²⋊D₄₃	C₂³	1	2	yes	—
173	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
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	C₂×D₄×D₄₃	—	4	4	no	—
179	C₂×D₄×D₄₃	—	4	8	no	—
180	C₂×D₄×D₄₃	—	4	8	no	—
181	C₂×D₄×D₄₃	C₂³	1	16	yes	complemented
182	C₂×D₄×D₄₃	C₂³	1	16	yes	complemented
183	C₂×D₄×D₄₃	C₂³	1	8	yes	complemented
184	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
185	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
186	C₂³×Dic₄₃	C₂³	1	2	yes	—
187	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
188	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
189	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
190	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
191	C₂²×C₄×D₄₃	C₂³	1	2	yes	—
192	#13063324	C₂³	1	8	yes	complemented
193	#13063322	C₂³	1	8	yes	—
194	#13063321	C₂³	1	8	yes	—
195	#13063321	C₂³	1	8	yes	complemented
196	#13063320	C₂³	1	8	yes	complemented
197	#13063320	C₂³	1	16	yes	complemented
198	#13063319	C₂³	1	16	yes	complemented
199	#13063318	C₂³	1	8	yes	complemented
200	#13063315	C₂³	1	8	yes	complemented
201	#13063314	C₂³	1	8	yes	complemented
202	#13063314	C₂³	1	16	yes	complemented
203	#13063314	C₂³	1	8	yes	complemented
204	#13063314	C₂³	1	8	yes	complemented
205	#13063314	C₂³	1	16	yes	complemented
206	#13063314	C₂³	1	8	yes	complemented
207	#13063314	C₂³	1	8	yes	complemented
208	#13063314	C₂³	1	16	yes	complemented
209	#13063313	C₂³	1	16	yes	complemented
210	#13063313	C₂³	1	16	yes	complemented
211	#13063311	C₂³	1	16	yes	complemented
212	#13063311	C₂³	1	8	yes	complemented
213	#13063311	C₂³	1	16	yes	complemented
214	#13063311	C₂³	1	16	yes	complemented
215	#13063310	C₂³	1	16	yes	complemented
216	#13063310	C₂³	1	16	yes	complemented
217	#13063310	C₂³	1	16	yes	complemented
218	#13063310	C₂³	1	16	yes	complemented
219	#13063309	C₂³	1	16	yes	complemented
220	#13063309	C₂³	1	8	yes	complemented
221	#13063308	C₂³	1	16	yes	complemented
222	#13063307	C₂³	1	16	yes	complemented
223	#13063307	C₂³	1	16	yes	complemented
224	#13063306	C₂³	1	8	yes	complemented
225	#13063305	C₂³	1	16	yes	complemented
226	#13063303	C₂³	1	16	yes	complemented
227	#13063302	C₂³	1	8	yes	complemented
228	#13063301	C₂³	1	16	yes	complemented
229	#13063301	C₂³	1	8	yes	complemented
230	#13063300	C₂³	1	8	yes	—
231	#13063300	C₂³	1	16	yes	complemented
232	#13063300	C₂³	1	16	yes	complemented
233	#13063299	C₂³	1	8	yes	—
234	#13063299	C₂³	1	8	yes	complemented
235	#13063299	C₂³	1	16	yes	complemented
236	#13063299	C₂³	1	16	yes	complemented
237	#13063299	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	8	yes	—
242	#13063297	C₂³	1	16	yes	complemented
243	#13063297	C₂³	1	16	yes	complemented
244	#13063295	C₂³	1	16	yes	complemented
245	#13063295	C₂³	1	16	yes	complemented
246	#13063295	C₂³	1	16	yes	complemented
247	#13063295	C₂³	1	16	yes	complemented
248	#13063295	C₂³	1	16	yes	complemented
249	#13063295	C₂³	1	16	yes	complemented
250	#13063293	C₂³	1	16	yes	complemented
251	#13063293	C₂³	1	16	yes	complemented
252	#13063293	C₂³	1	16	yes	complemented
253	#13063293	C₂³	1	16	yes	complemented
254	Q₈×Dic₄₃	C₂³	1	8	yes	complemented
255	C₄×Dic₈₆	C₂³	1	8	yes	complemented
256	C₄×D₁₇₂	C₂³	1	8	yes	complemented
257	C₄×D₁₇₂	C₂³	1	16	yes	complemented
258	D₄×Dic₄₃	C₂³	1	8	yes	complemented
259	#13063287	C₂³	1	8	yes	complemented
260	#13063287	C₂³	1	8	yes	complemented
261	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
262	C₄×C₂²⋊D₄₃	C₂³	1	16	yes	complemented
263	C₄×C₂²⋊D₄₃	C₂³	1	8	yes	complemented
264	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
265	(C₂²⋊D₄₃)⋊C₄	C₂³	1	16	yes	complemented
266	#13063284	C₂³	1	8	yes	complemented
267	#13063282	C₂³	1	8	yes	complemented
268	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊Dic₄₃	C₂³	1	2	yes	—
273	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
277	C₂×Dic₄₃⋊C₄	C₂³	1	2	yes	—
278	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
279	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
280	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
281	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
282	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
283	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
284	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
285	C₂×C₂²⋊Dic₄₃	C₂³	1	2	yes	—
286	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
287	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
288	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
290	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
291	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
292	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
293	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
294	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
295	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
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	1	yes	characteristic
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	1	yes	characteristic
303	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
304	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
305	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
306	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	2	yes	—
307	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	16	yes	complemented
308	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	16	yes	complemented
309	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	16	yes	complemented
310	C₂²⋊C₄×D₄₃	C₂³	1	16	yes	complemented
311	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
312	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
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	8	yes	complemented
318	C₂×#41×C₄₃	—	4	4	no	—
319	C₂×#41×C₄₃	C₂³	1	8	yes	complemented
320	C₂²×Q₈×C₄₃	—	4	4	no	—
321	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
322	C₂²×Q₈×C₄₃	C₂³	1	1	yes	characteristic
323	C₂²×Q₈×C₄₃	C₂³	1	2	yes	—
324	C₂²×Q₈×C₄₃	C₂³	1	8	yes	complemented
325	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
326	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
327	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
328	C₂²×D₄×C₄₃	C₂³	1	2	yes	—
329	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
330	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
331	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
332	C₂³×C₄×C₄₃	C₂³	1	2	yes	—
333	#124×C₄₃	C₂³	1	8	yes	complemented
334	#124×C₄₃	C₂³	1	16	yes	complemented
335	C₂²⋊Q₈×C₄₃	C₂³	1	16	yes	complemented
336	C₂²⋊Q₈×C₄₃	C₂³	1	8	yes	complemented
337	#121×C₄₃	C₂³	1	8	yes	complemented
338	#121×C₄₃	C₂³	1	16	yes	complemented
339	C₄×Q₈×C₄₃	C₂³	1	8	yes	complemented
340	C₄×D₄×C₄₃	C₂³	1	8	yes	complemented
341	C₄×D₄×C₄₃	C₂³	1	16	yes	complemented
342	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
343	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
344	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
345	C₂×C₄⋊C₄×C₄₃	C₂³	1	2	yes	—
346	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
349	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
350	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
351	C₂×C₂²⋊C₄×C₄₃	C₂³	1	2	yes	—
352	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
353	C₂×C₄²×C₄₃	C₂³	1	2	yes	—
354	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
355	C₂⁴×C₄₃	C₂⁴	1	2	yes	—
356	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
357	C₂³×D₄₃	—	2	8	no	—
358	C₂³×D₄₃	—	4	4	no	—
359	C₂³×D₄₃	—	4	4	no	—
360	C₂³×D₄₃	—	4	4	no	—
361	C₂³×D₄₃	—	4	4	no	—
362	C₂³×D₄₃	—	4	4	no	—
363	C₂³×D₄₃	—	4	4	no	—
364	C₂³×D₄₃	—	4	4	no	—
365	C₂³×D₄₃	—	4	4	no	—
366	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
367	C₂³×D₄₃	C₂⁴	1	2	yes	—
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	8	yes	—
372	C₂³×D₄₃	C₂⁴	1	8	yes	—
373	#41×C₄₃	—	4	16	no	—
374	C₂×Q₈×C₄₃	—	2	4	no	—
375	C₂×Q₈×C₄₃	—	2	4	no	—
376	C₂×Q₈×C₄₃	—	4	4	no	—
377	C₂×Q₈×C₄₃	—	4	16	no	—
378	C₂×Q₈×C₄₃	C₂⁴	1	4	yes	—
379	C₂×Q₈×C₄₃	C₂⁴	1	4	yes	—
380	C₂×Q₈×C₄₃	C₂⁴	1	8	yes	—
381	C₂×D₄×C₄₃	—	2	4	no	—
382	C₂×D₄×C₄₃	—	2	4	no	—
383	C₂×D₄×C₄₃	—	2	8	no	—
384	C₂×D₄×C₄₃	—	4	4	no	—
385	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
386	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
387	C₂×D₄×C₄₃	C₂⁴	1	4	yes	—
388	C₂×D₄×C₄₃	C₂⁴	1	8	yes	—
389	C₂²×C₄×C₄₃	—	2	4	no	—
390	C₂²×C₄×C₄₃	—	2	4	no	—
391	C₂²×C₄×C₄₃	—	4	4	no	—
392	C₂²×C₄×C₄₃	—	4	4	no	—
393	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
394	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
395	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
396	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
397	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₄₃	C₂⁴	1	2	yes	—
399	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
401	C₂²×C₄×C₄₃	C₂⁴	1	4	yes	—
402	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
403	C₂²×C₄×C₄₃	C₂⁴	1	8	yes	—
404	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
405	C₂×C₂²⋊D₄₃	—	2	4	no	—
406	C₂×C₂²⋊D₄₃	—	2	8	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	4	no	—
411	C₂×C₂²⋊D₄₃	—	4	4	no	—
412	C₂×C₂²⋊D₄₃	—	4	2	no	—
413	C₂×C₂²⋊D₄₃	—	4	4	no	—
414	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
415	C₂×C₂²⋊D₄₃	C₂⁴	1	4	yes	—
416	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
417	C₂×C₂²⋊D₄₃	C₂⁴	1	8	yes	—
418	C₂×C₂²⋊D₄₃	C₂⁴	1	4	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	C₂²×Dic₄₃	—	2	4	no	—
424	C₂²×Dic₄₃	—	4	2	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	1	yes	characteristic
430	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
431	C₂²×Dic₄₃	C₂⁴	1	2	yes	—
432	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
434	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
435	C₂²×Dic₄₃	C₂⁴	1	4	yes	—
436	C₂²×Dic₄₃	C₂⁴	1	8	yes	—
437	#10621902	—	4	16	no	—
438	#10621900	—	4	32	no	—
439	D₄×D₄₃	—	4	32	no	—
440	D₄×D₄₃	—	4	32	no	—
441	D₄×D₄₃	—	4	16	no	—
442	C₂×D₁₇₂	—	2	4	no	—
443	C₂×D₁₇₂	—	2	4	no	—
444	C₂×D₁₇₂	—	2	4	no	—
445	C₂×D₁₇₂	—	4	4	no	—
446	C₂×D₁₇₂	—	4	4	no	—
447	C₂×D₁₇₂	—	4	4	no	—
448	C₂×D₁₇₂	—	4	4	no	—
449	C₂×D₁₇₂	—	4	4	no	—
450	C₂×D₁₇₂	—	4	4	no	—
451	C₂×D₁₇₂	—	4	16	no	—
452	C₂×D₁₇₂	—	4	16	no	—
453	C₂×D₁₇₂	C₂⁴	1	4	yes	—
454	C₂×D₁₇₂	C₂⁴	1	4	yes	—
455	C₂×D₁₇₂	C₂⁴	1	4	yes	—
456	C₂×D₁₇₂	C₂⁴	1	8	yes	—
457	C₂×D₁₇₂	C₂⁴	1	8	yes	—
458	C₂×D₁₇₂	C₂⁴	1	8	yes	—
459	C₂×D₁₇₂	C₂⁴	1	8	yes	—
460	C₂×D₁₇₂	C₂⁴	1	8	yes	—
461	C₂×D₁₇₂	C₂⁴	1	8	yes	—
462	C₂×C₄×D₄₃	—	2	4	no	—
463	C₂×C₄×D₄₃	—	4	4	no	—
464	C₂×C₄×D₄₃	—	4	4	no	—
465	C₂×C₄×D₄₃	—	4	4	no	—
466	C₂×C₄×D₄₃	—	4	4	no	—
467	C₂×C₄×D₄₃	C₂⁴	1	4	yes	—
468	C₂×C₄×D₄₃	C₂⁴	1	8	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×Dic₈₆	—	4	2	no	—
473	C₂×Dic₈₆	—	4	4	no	—
474	C₂×Dic₈₆	C₂⁴	1	4	yes	—
475	C₂×Dic₈₆	C₂⁴	1	8	yes	—
476	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
477	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
478	C₄⋊C₄×C₄₃	C₂⁴	1	4	yes	—
479	C₄⋊C₄×C₄₃	C₂⁴	1	8	yes	—
480	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
481	C₂²⋊C₄×C₄₃	C₂⁴	1	4	yes	—
482	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
483	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
484	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
485	C₂²⋊C₄×C₄₃	C₂⁴	1	8	yes	—
486	C₄²×C₄₃	C₂⁴	1	4	yes	—
487	C₄²×C₄₃	C₂⁴	1	8	yes	—
488	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
489	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
490	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
491	C₂²⋊Dic₄₃	C₂⁴	1	4	yes	—
492	C₂²⋊Dic₄₃	C₂⁴	1	8	yes	—
493	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
494	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
495	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
496	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
497	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
498	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	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	8	yes	—
503	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
504	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
505	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
506	(C₂×D₄₃)⋊C₄	C₂⁴	1	4	yes	—
507	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
508	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	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	8	yes	—
513	(C₂×D₄₃)⋊C₄	C₂⁴	1	8	yes	—
514	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
515	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
516	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
517	C₄⋊Dic₄₃	C₂⁴	1	4	yes	—
518	C₄⋊Dic₄₃	C₂⁴	1	8	yes	—
519	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
520	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
521	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
522	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
523	Dic₄₃⋊C₄	C₂⁴	1	8	yes	—
524	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
525	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
526	Dic₄₃⋊C₄	C₂⁴	1	4	yes	—
527	C₄×Dic₄₃	C₂⁴	1	4	yes	—
528	C₄×Dic₄₃	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	C₂³×C₄₃	—	2	2	no	—
534	C₂³×C₄₃	—	2	2	no	—
535	C₂³×C₄₃	—	2	4	no	—
536	C₂³×C₄₃	—	2	2	no	—
537	C₂³×C₄₃	—	2	4	no	—
538	C₂³×C₄₃	—	2	2	no	—
539	C₂³×C₄₃	—	2	4	no	—
540	C₂³×C₄₃	—	2	2	no	—
541	C₂³×C₄₃	H(5,𝔽₂)	1	4	yes	—
542	C₂³×C₄₃	C₂⁵	1	2	yes	—
543	C₂³×C₄₃	C₂⁵	1	4	yes	—
544	C₂³×C₄₃	C₂⁵	1	2	yes	—
545	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
546	C₂²×D₄₃	—	2	2	no	—
547	C₂²×D₄₃	—	2	4	no	—
548	C₂²×D₄₃	—	2	4	no	—
549	C₂²×D₄₃	—	2	4	no	—
550	C₂²×D₄₃	—	2	4	no	—
551	C₂²×D₄₃	—	2	4	no	—
552	C₂²×D₄₃	—	2	4	no	—
553	C₂²×D₄₃	—	2	2	no	—
554	C₂²×D₄₃	—	2	4	no	—
555	C₂²×D₄₃	—	2	4	no	—
556	C₂²×D₄₃	—	2	2	no	—
557	C₂²×D₄₃	—	2	4	no	—
558	C₂²×D₄₃	—	2	16	no	—
559	C₂²×D₄₃	—	4	8	no	—
560	C₂²×D₄₃	—	4	8	no	—
561	C₂²×D₄₃	—	4	8	no	—
562	C₂²×D₄₃	—	4	8	no	—
563	C₂²×D₄₃	—	4	8	no	—
564	C₂²×D₄₃	—	4	8	no	—
565	C₂²×D₄₃	—	4	8	no	—
566	C₂²×D₄₃	—	4	8	no	—
567	C₂²×D₄₃	—	8	16	no	—
568	C₂²×D₄₃	—	8	16	no	—
569	C₂²×D₄₃	—	8	16	no	—
570	C₂²×D₄₃	C₂⁵	1	4	yes	—
571	C₂²×D₄₃	C₂⁵	1	4	yes	—
572	C₂²×D₄₃	C₂⁵	1	2	yes	—
573	C₂²×D₄₃	C₂⁵	1	4	yes	—
574	Q₈×C₄₃	—	2	8	no	—
575	Q₈×C₄₃	—	2	8	no	—
576	Q₈×C₄₃	—	4	8	no	—
577	D₄×C₄₃	—	2	8	no	—
578	D₄×C₄₃	—	2	16	no	—
579	D₄×C₄₃	—	2	8	no	—
580	D₄×C₄₃	—	4	8	no	—
581	C₂×C₄×C₄₃	—	2	4	no	—
582	C₂×C₄×C₄₃	—	2	2	no	—
583	C₂×C₄×C₄₃	—	2	4	no	—
584	C₂×C₄×C₄₃	—	2	2	no	—
585	C₂×C₄×C₄₃	—	2	2	no	—
586	C₂×C₄×C₄₃	—	2	4	no	—
587	C₂×C₄×C₄₃	—	2	2	no	—
588	C₂×C₄×C₄₃	—	2	8	no	—
589	C₂×C₄×C₄₃	—	2	8	no	—
590	C₂×C₄×C₄₃	—	4	8	no	—
591	C₂×C₄×C₄₃	—	4	8	no	—
592	C₂×C₄×C₄₃	H(5,𝔽₂)	1	4	yes	—
593	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
594	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
595	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
596	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
597	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
598	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
599	C₂×C₄×C₄₃	C₂⁵	1	4	yes	—
600	C₂×C₄×C₄₃	C₂⁵	1	2	yes	—
601	C₂²⋊D₄₃	—	2	8	no	—
602	C₂²⋊D₄₃	—	2	16	no	—
603	C₂²⋊D₄₃	—	4	8	no	—
604	C₂²⋊D₄₃	—	4	8	no	—
605	C₂²⋊D₄₃	—	4	8	no	—
606	C₂²⋊D₄₃	—	4	8	no	—
607	C₂²⋊D₄₃	—	4	4	no	—
608	C₂²⋊D₄₃	—	4	8	no	—
609	C₂²⋊D₄₃	—	4	8	no	—
610	C₂×Dic₄₃	—	2	2	no	—
611	C₂×Dic₄₃	—	2	4	no	—
612	C₂×Dic₄₃	—	2	2	no	—
613	C₂×Dic₄₃	—	2	2	no	—
614	C₂×Dic₄₃	—	2	2	no	—
615	C₂×Dic₄₃	—	2	8	no	—
616	C₂×Dic₄₃	—	2	2	no	—
617	C₂×Dic₄₃	—	2	2	no	—
618	C₂×Dic₄₃	—	2	2	no	—
619	C₂×Dic₄₃	—	4	8	no	—
620	C₂×Dic₄₃	—	4	4	no	—
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	2	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	8	no	—
631	D₁₇₂	—	2	8	no	—
632	D₁₇₂	—	4	8	no	—
633	D₁₇₂	—	4	8	no	—
634	D₁₇₂	—	4	8	no	—
635	D₁₇₂	—	4	8	no	—
636	D₁₇₂	—	4	8	no	—
637	D₁₇₂	—	4	8	no	—
638	C₄×D₄₃	—	2	8	no	—
639	C₄×D₄₃	—	4	8	no	—
640	C₄×D₄₃	—	4	8	no	—
641	C₄×D₄₃	—	4	8	no	—
642	C₄×D₄₃	—	4	8	no	—
643	Dic₈₆	—	4	4	no	—
644	Dic₈₆	—	4	8	no	—
645	C₂×#3558	—	43	1	no	maximal, Sylow
646	C₂²×C₄₃	—	2	2	no	—
647	C₂²×C₄₃	—	2	2	no	—
648	C₂²×C₄₃	—	2	8	no	—
649	C₂²×C₄₃	—	2	2	no	—
650	C₂²×C₄₃	—	2	2	no	—
651	C₂²×C₄₃	—	2	4	no	—
652	C₂²×C₄₃	—	2	4	no	—
653	C₂²×C₄₃	—	2	2	no	—
654	C₂²×C₄₃	—	2	4	no	—
655	C₂²×C₄₃	—	4	4	no	—
656	C₂²×C₄₃	—	4	8	no	—
657	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
658	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	4	yes	—
659	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	2	yes	—
660	C₂²×C₄₃	#585	1	2	yes	—
661	C₂²×C₄₃	C₂⁶	1	1	yes	characteristic
662	C₂×D₄₃	—	2	4	no	—
663	C₂×D₄₃	—	2	4	no	—
664	C₂×D₄₃	—	2	2	no	—
665	C₂×D₄₃	—	2	4	no	—
666	C₂×D₄₃	—	2	4	no	—
667	C₂×D₄₃	—	2	2	no	—
668	C₂×D₄₃	—	2	4	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	4	no	—
674	C₂×D₄₃	—	4	8	no	—
675	C₂×D₄₃	—	4	4	no	—
676	C₂×D₄₃	—	4	8	no	—
677	C₂×D₄₃	—	4	8	no	—
678	C₂×D₄₃	—	8	16	no	—
679	C₂×D₄₃	—	8	16	no	—
680	C₂×D₄₃	—	8	16	no	—
681	C₄×C₄₃	—	2	4	no	—
682	C₄×C₄₃	—	2	2	no	—
683	C₄×C₄₃	—	2	4	no	—
684	C₄×C₄₃	—	2	2	no	—
685	C₄×C₄₃	—	2	2	no	—
686	C₄×C₄₃	—	2	4	no	—
687	C₄×C₄₃	—	2	2	no	—
688	C₄×C₄₃	C₂×H(5,𝔽₂)	1	4	yes	—
689	Dic₄₃	—	2	2	no	—
690	Dic₄₃	—	2	4	no	—
691	Dic₄₃	—	2	2	no	—
692	Dic₄₃	—	2	2	no	—
693	Dic₄₃	—	2	2	no	—
694	Dic₄₃	—	2	2	no	—
695	Dic₄₃	—	2	2	no	—
696	Dic₄₃	—	2	2	no	—
697	#3558	—	43	32	no	—
698	C₂×#562	—	43	2	no	—
699	C₂×H(3,𝔽₄)	—	43	2	no	—
700	C₂×#559	—	43	1	no	—
701	C₂×#559	—	43	1	no	—
702	C₂×#548	—	43	1	no	—
703	C₂×#548	D₄₃	1	1	yes	characteristic, complemented
704	C₂×#546	—	43	1	no	—
705	C₂×#546	—	43	1	no	—
706	C₂×#546	—	43	2	no	—
707	C₂×#546	—	43	2	no	—
708	C₂×D₄²	—	43	1	no	—
709	C₂×D₄²	—	43	1	no	—
710	C₂×#542	—	43	1	no	—
711	C₂×#542	—	43	1	no	—
712	C₂×#538	—	43	2	no	—
713	C₂×#538	—	43	2	no	—
714	C₂×#538	—	43	2	no	—
715	C₂×#535	—	43	1	no	—
716	C₂×#535	—	43	1	no	—
717	C₂×#534	—	43	2	no	—
718	C₂×#532	—	43	1	no	—
719	C₂×#529	—	43	1	no	—
720	C₂²×#124	—	43	1	no	—
721	C₂×C₄₃	—	2	4	no	—
722	C₂×C₄₃	—	4	2	no	—
723	C₂×C₄₃	—	4	4	no	—
724	C₂×C₄₃	#3558	1	4	yes	complemented
725	C₂×C₄₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
726	C₂×C₄₃	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
727	C₂×C₄₃	C₂×#585	1	1	yes	characteristic
728	D₄₃	—	4	4	no	—
729	D₄₃	—	4	4	no	—
730	D₄₃	—	4	4	no	—
731	D₄₃	—	4	2	no	—
732	C₂²×#41	—	43	1	no	—
733	C₂²×#41	—	43	2	no	—
734	C₂²×#41	C₂×D₄₃	1	1	yes	characteristic, complemented
735	C₂³×Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
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	1	no	—
741	#562	—	43	32	no	—
742	H(3,𝔽₄)	—	43	32	no	—
743	#559	—	43	16	no	—
744	#559	—	43	16	no	—
745	#548	—	43	16	no	—
746	#548	C₂×D₄₃	1	16	yes	complemented
747	#546	—	43	16	no	—
748	#546	—	43	16	no	—
749	#546	—	43	32	no	—
750	#546	—	43	32	no	—
751	D₄²	—	43	16	no	—
752	D₄²	—	43	16	no	—
753	#542	—	43	16	no	—
754	#542	—	43	16	no	—
755	#538	—	43	32	no	—
756	#538	—	43	32	no	—
757	#538	—	43	32	no	—
758	#535	—	43	16	no	—
759	#535	—	43	16	no	—
760	#534	—	43	32	no	—
761	#532	—	43	16	no	—
762	C₂×C₄⋊Q₈	—	43	1	no	—
763	C₂×#127	—	43	1	no	—
764	C₂×#127	—	43	1	no	—
765	C₂×#127	—	43	1	no	—
766	#529	—	43	16	no	—
767	C₂×#126	—	43	1	no	—
768	C₂×#126	—	43	2	no	—
769	C₂×#126	—	43	1	no	—
770	C₂×#126	—	43	2	no	—
771	C₂×#125	—	43	1	no	—
772	C₂×#124	—	43	1	no	—
773	C₂×#124	—	43	1	no	—
774	C₂×#124	—	43	2	no	—
775	C₂×#124	—	43	1	no	—
776	C₂×#124	—	43	1	no	—
777	C₂×#124	—	43	2	no	—
778	C₂×#124	—	43	1	no	—
779	C₂×#124	—	43	2	no	—
780	C₂×#124	—	43	16	no	—
781	C₂×#124	—	43	1	no	—
782	C₂×#124	—	43	2	no	—
783	C₂×#124	—	43	2	no	—
784	C₂×#124	—	43	2	no	—
785	C₂×#124	—	43	2	no	—
786	C₂×#124	—	43	2	no	—
787	C₂×#124	C₂×D₄₃	1	1	yes	characteristic, complemented
788	C₂×#124	C₂×D₄₃	1	2	yes	complemented
789	C₂×#123	—	43	1	no	—
790	C₂×#123	—	43	2	no	—
791	C₂×#123	—	43	2	no	—
792	C₂×#123	—	43	2	no	—
793	C₂×#123	—	43	2	no	—
794	C₂×#123	—	43	2	no	—
795	C₂×#123	—	43	2	no	—
796	C₂×#123	—	43	2	no	—
797	C₂×#123	—	43	1	no	—
798	C₂×#123	—	43	2	no	—
799	C₂×C₂²⋊Q₈	—	43	2	no	—
800	C₂×C₂²⋊Q₈	—	43	1	no	—
801	C₂×C₂²⋊Q₈	—	43	2	no	—
802	C₂×C₂²⋊Q₈	—	43	2	no	—
803	C₂×C₂²⋊Q₈	—	43	1	no	—
804	C₂×C₂²⋊Q₈	C₂×D₄₃	1	2	yes	complemented
805	C₂×C₂²⋊Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
806	C₂×#121	—	43	1	no	—
807	C₂×#121	—	43	2	no	—
808	C₂×#121	—	43	2	no	—
809	C₂×#121	—	43	1	no	—
810	C₂×#121	—	43	1	no	—
811	C₂×#121	—	43	2	no	—
812	C₂×#121	—	43	2	no	—
813	C₂×#121	—	43	2	no	—
814	C₂×#121	—	43	1	no	—
815	C₂×#121	—	43	2	no	—
816	C₂×#121	—	43	2	no	—
817	C₂×#121	—	43	2	no	—
818	C₂×#121	—	43	2	no	—
819	C₂×#121	—	43	2	no	—
820	C₂×#121	C₂×D₄₃	1	1	yes	characteristic, complemented
821	C₂×#121	C₂×D₄₃	1	2	yes	complemented
822	C₂×#120	—	43	2	no	—
823	C₂×#120	—	43	2	no	—
824	C₂×#120	—	43	2	no	—
825	C₂×#120	—	43	2	no	—
826	C₂×#120	—	43	2	no	—
827	C₂×#120	—	43	2	no	—
828	C₂×#120	—	43	2	no	—
829	C₂×#120	—	43	2	no	—
830	C₂×#120	—	43	2	no	—
831	C₂×#120	—	43	2	no	—
832	C₂×C₄×Q₈	—	43	1	no	—
833	C₂×C₄×Q₈	—	43	1	no	—
834	C₂×C₄×Q₈	C₂×D₄₃	1	1	yes	characteristic, complemented
835	C₂×C₄×D₄	—	43	1	no	—
836	C₂×C₄×D₄	—	43	1	no	—
837	C₂×C₄×D₄	—	43	1	no	—
838	C₂×C₄×D₄	—	43	2	no	—
839	C₂×C₄×D₄	—	43	1	no	—
840	C₂×C₄×D₄	—	43	1	no	—
841	C₂×C₄×D₄	—	43	2	no	—
842	C₂×C₄×D₄	—	43	2	no	—
843	C₂×C₄×D₄	—	43	2	no	—
844	C₂×C₄×D₄	—	43	1	no	—
845	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic, complemented
846	C₂×C₄×D₄	C₂×D₄₃	1	2	yes	complemented
847	C₂×#117	—	43	1	no	—
848	C₂×#117	—	43	1	no	—
849	C₂²×C₂²⋊C₄	—	43	2	no	—
850	C₂²×C₂²⋊C₄	—	43	2	no	—
851	C₂²×C₂²⋊C₄	—	43	2	no	—
852	C₂²×C₂²⋊C₄	—	43	2	no	—
853	C₂²×C₄²	—	43	1	no	—
854	C₄₃	C₂×#3558	1	1	yes	characteristic, complemented, Sylow
855	C₂⁵	—	43	2	no	—
856	C₂⁵	—	43	2	no	—
857	C₂⁵	—	43	2	no	—
858	C₂×#41	—	4	4	no	—
859	C₂×#41	—	43	8	no	—
860	C₂×#41	—	43	16	no	—
861	C₂×#41	—	172	8	no	—
862	C₂×#41	—	172	4	no	—
863	C₂×#41	C₂²×D₄₃	1	8	yes	complemented
864	C₂²×Q₈	—	4	4	no	—
865	C₂²×Q₈	—	43	1	no	—
866	C₂²×Q₈	—	43	2	no	—
867	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
868	C₂²×Q₈	C₂²×D₄₃	1	1	yes	characteristic
869	C₂²×Q₈	C₂²×D₄₃	1	2	yes	—
870	C₂²×Q₈	C₂²×D₄₃	1	8	yes	complemented
871	C₂²×D₄	—	43	2	no	—
872	C₂²×D₄	—	43	1	no	—
873	C₂²×D₄	—	43	1	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	2	no	—
880	C₂²×D₄	—	43	16	no	—
881	C₂²×D₄	—	43	16	no	—
882	C₂²×D₄	—	43	8	no	—
883	C₂²×D₄	—	43	1	no	—
884	C₂²×D₄	—	43	1	no	—
885	C₂²×D₄	—	43	1	no	—
886	C₂²×D₄	—	43	2	no	—
887	C₂²×D₄	—	43	2	no	—
888	C₂²×D₄	—	43	2	no	—
889	C₂²×D₄	—	43	2	no	—
890	C₂²×D₄	—	43	2	no	—
891	C₂²×D₄	—	43	2	no	—
892	C₂²×D₄	—	43	8	no	—
893	C₂²×D₄	—	43	8	no	—
894	C₂²×D₄	—	172	4	no	—
895	C₂²×D₄	—	172	4	no	—
896	C₂²×D₄	—	172	4	no	—
897	C₂²×D₄	—	172	8	no	—
898	C₂²×D₄	—	172	8	no	—
899	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
900	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
901	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
902	C₂²×D₄	C₂²×D₄₃	1	2	yes	—
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	C₂²×D₄₃	1	1	yes	characteristic
912	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
913	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
914	C₂³×C₄	C₂²×D₄₃	1	2	yes	—
915	C₄⋊Q₈	—	43	8	no	—
916	#127	—	43	8	no	—
917	#127	—	43	8	no	—
918	#127	—	43	8	no	—
919	#126	—	43	8	no	—
920	#126	—	43	16	no	—
921	#126	—	43	8	no	—
922	#126	—	43	16	no	—
923	#125	—	43	8	no	—
924	#124	—	43	8	no	—
925	#124	—	43	8	no	—
926	#124	—	43	16	no	—
927	#124	—	43	8	no	—
928	#124	—	43	8	no	—
929	#124	—	43	16	no	—
930	#124	—	43	8	no	—
931	#124	—	43	16	no	—
932	#124	—	43	8	no	—
933	#124	—	43	16	no	—
934	#124	—	43	16	no	—
935	#124	—	43	16	no	—
936	#124	—	43	16	no	—
937	#124	—	43	16	no	—
938	#124	C₂²×D₄₃	1	8	yes	complemented
939	#124	C₂²×D₄₃	1	16	yes	complemented
940	#123	—	43	8	no	—
941	#123	—	43	16	no	—
942	#123	—	43	16	no	—
943	#123	—	43	16	no	—
944	#123	—	43	16	no	—
945	#123	—	43	16	no	—
946	#123	—	43	8	no	—
947	#123	—	43	16	no	—
948	#123	—	43	16	no	—
949	#123	—	43	16	no	—
950	C₂²⋊Q₈	—	43	16	no	—
951	C₂²⋊Q₈	—	43	8	no	—
952	C₂²⋊Q₈	—	43	16	no	—
953	C₂²⋊Q₈	—	43	16	no	—
954	C₂²⋊Q₈	—	43	8	no	—
955	C₂²⋊Q₈	C₂²×D₄₃	1	16	yes	complemented
956	C₂²⋊Q₈	C₂²×D₄₃	1	8	yes	complemented
957	#121	—	43	8	no	—
958	#121	—	43	16	no	—
959	#121	—	43	16	no	—
960	#121	—	43	8	no	—
961	#121	—	43	16	no	—
962	#121	—	43	16	no	—
963	#121	—	43	16	no	—
964	#121	—	43	8	no	—
965	#121	—	43	16	no	—
966	#121	—	43	16	no	—
967	#121	—	43	8	no	—
968	#121	—	43	16	no	—
969	#121	—	43	16	no	—
970	#121	—	43	16	no	—
971	#121	C₂²×D₄₃	1	8	yes	complemented
972	#121	C₂²×D₄₃	1	16	yes	complemented
973	#120	—	43	16	no	—
974	#120	—	43	16	no	—
975	#120	—	43	16	no	—
976	#120	—	43	16	no	—
977	#120	—	43	16	no	—
978	#120	—	43	16	no	—
979	#120	—	43	16	no	—
980	#120	—	43	16	no	—
981	#120	—	43	16	no	—
982	#120	—	43	16	no	—
983	C₄×Q₈	—	43	8	no	—
984	C₄×Q₈	—	43	8	no	—
985	C₄×Q₈	C₂²×D₄₃	1	8	yes	complemented
986	C₄×D₄	—	43	8	no	—
987	C₄×D₄	—	43	8	no	—
988	C₄×D₄	—	43	8	no	—
989	C₄×D₄	—	43	16	no	—
990	C₄×D₄	—	43	8	no	—
991	C₄×D₄	—	43	8	no	—
992	C₄×D₄	—	43	16	no	—
993	C₄×D₄	—	43	16	no	—
994	C₄×D₄	—	43	16	no	—
995	C₄×D₄	—	43	8	no	—
996	C₄×D₄	C₂²×D₄₃	1	8	yes	complemented
997	C₄×D₄	C₂²×D₄₃	1	16	yes	complemented
998	#117	—	43	8	no	—
999	#117	—	43	8	no	—
1000	C₂×C₄⋊C₄	—	43	1	no	—
1001	C₂×C₄⋊C₄	—	43	1	no	—
1002	C₂×C₄⋊C₄	—	43	1	no	—
1003	C₂×C₄⋊C₄	—	43	1	no	—
1004	C₂×C₄⋊C₄	—	43	1	no	—
1005	C₂×C₄⋊C₄	—	43	1	no	—
1006	C₂×C₄⋊C₄	—	43	1	no	—
1007	C₂×C₄⋊C₄	—	43	1	no	—
1008	C₂×C₄⋊C₄	—	43	2	no	—
1009	C₂×C₄⋊C₄	—	43	2	no	—
1010	C₂×C₄⋊C₄	—	43	1	no	—
1011	C₂×C₄⋊C₄	—	43	2	no	—
1012	C₂×C₄⋊C₄	—	43	1	no	—
1013	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1014	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1015	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
1016	C₂×C₄⋊C₄	C₂²×D₄₃	1	2	yes	—
1017	C₂×C₂²⋊C₄	—	43	1	no	—
1018	C₂×C₂²⋊C₄	—	43	1	no	—
1019	C₂×C₂²⋊C₄	—	43	1	no	—
1020	C₂×C₂²⋊C₄	—	43	1	no	—
1021	C₂×C₂²⋊C₄	—	43	2	no	—
1022	C₂×C₂²⋊C₄	—	43	1	no	—
1023	C₂×C₂²⋊C₄	—	43	2	no	—
1024	C₂×C₂²⋊C₄	—	43	2	no	—
1025	C₂×C₂²⋊C₄	—	43	2	no	—
1026	C₂×C₂²⋊C₄	—	43	2	no	—
1027	C₂×C₂²⋊C₄	—	43	2	no	—
1028	C₂×C₂²⋊C₄	—	43	2	no	—
1029	C₂×C₂²⋊C₄	—	43	2	no	—
1030	C₂×C₂²⋊C₄	—	43	2	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	16	no	—
1035	C₂×C₂²⋊C₄	—	43	16	no	—
1036	C₂×C₂²⋊C₄	—	43	16	no	—
1037	C₂×C₂²⋊C₄	—	43	1	no	—
1038	C₂×C₂²⋊C₄	—	43	1	no	—
1039	C₂×C₂²⋊C₄	—	43	2	no	—
1040	C₂×C₂²⋊C₄	—	43	2	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	2	no	—
1045	C₂×C₂²⋊C₄	—	43	2	no	—
1046	C₂×C₂²⋊C₄	—	43	16	no	—
1047	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1048	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1049	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1050	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1051	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1052	C₂×C₂²⋊C₄	C₂²×D₄₃	1	2	yes	—
1053	C₂×C₄²	—	43	1	no	—
1054	C₂×C₄²	—	43	1	no	—
1055	C₂×C₄²	—	43	1	no	—
1056	C₂×C₄²	—	43	2	no	—
1057	C₂×C₄²	—	43	1	no	—
1058	C₂×C₄²	—	43	1	no	—
1059	C₂×C₄²	—	43	8	no	—
1060	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1061	C₂×C₄²	C₂²×D₄₃	1	2	yes	—
1062	C₂⁴	—	43	1	no	—
1063	C₂⁴	—	43	2	no	—
1064	C₂⁴	—	43	2	no	—
1065	C₂⁴	—	43	2	no	—
1066	C₂⁴	—	43	8	no	—
1067	C₂⁴	—	43	8	no	—
1068	C₂⁴	—	43	8	no	—
1069	C₂⁴	—	86	8	no	—
1070	C₂⁴	—	172	4	no	—
1071	C₂⁴	—	172	4	no	—
1072	C₂⁴	—	172	4	no	—
1073	C₂⁴	—	172	4	no	—
1074	C₂⁴	—	172	4	no	—
1075	C₂⁴	—	172	4	no	—
1076	C₂⁴	—	172	4	no	—
1077	C₂⁴	—	172	4	no	—
1078	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1079	C₂⁴	C₂³×D₄₃	1	2	yes	—
1080	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1081	#41	—	4	16	no	—
1082	#41	—	172	32	no	—
1083	#41	—	172	16	no	—
1084	C₂×Q₈	—	2	4	no	—
1085	C₂×Q₈	—	2	4	no	—
1086	C₂×Q₈	—	4	4	no	—
1087	C₂×Q₈	—	4	16	no	—
1088	C₂×Q₈	—	43	4	no	—
1089	C₂×Q₈	—	43	8	no	—
1090	C₂×Q₈	—	172	4	no	—
1091	C₂×Q₈	—	172	2	no	—
1092	C₂×Q₈	C₂³×D₄₃	1	4	yes	—
1093	C₂×Q₈	C₂³×D₄₃	1	4	yes	—
1094	C₂×Q₈	C₂³×D₄₃	1	8	yes	—
1095	C₂×D₄	—	2	4	no	—
1096	C₂×D₄	—	2	8	no	—
1097	C₂×D₄	—	2	4	no	—
1098	C₂×D₄	—	4	4	no	—
1099	C₂×D₄	—	43	8	no	—
1100	C₂×D₄	—	43	4	no	—
1101	C₂×D₄	—	43	4	no	—
1102	C₂×D₄	—	43	8	no	—
1103	C₂×D₄	—	43	8	no	—
1104	C₂×D₄	—	43	8	no	—
1105	C₂×D₄	—	43	8	no	—
1106	C₂×D₄	—	43	8	no	—
1107	C₂×D₄	—	43	8	no	—
1108	C₂×D₄	—	43	4	no	—
1109	C₂×D₄	—	43	4	no	—
1110	C₂×D₄	—	43	4	no	—
1111	C₂×D₄	—	43	8	no	—
1112	C₂×D₄	—	43	8	no	—
1113	C₂×D₄	—	43	8	no	—
1114	C₂×D₄	—	43	8	no	—
1115	C₂×D₄	—	43	8	no	—
1116	C₂×D₄	—	43	8	no	—
1117	C₂×D₄	—	86	4	no	—
1118	C₂×D₄	—	86	8	no	—
1119	C₂×D₄	—	86	4	no	—
1120	C₂×D₄	—	86	4	no	—
1121	C₂×D₄	—	86	4	no	—
1122	C₂×D₄	—	172	16	no	—
1123	C₂×D₄	—	172	16	no	—
1124	C₂×D₄	—	172	4	no	—
1125	C₂×D₄	—	172	4	no	—
1126	C₂×D₄	—	172	4	no	—
1127	C₂×D₄	—	172	4	no	—
1128	C₂×D₄	—	172	4	no	—
1129	C₂×D₄	—	172	4	no	—
1130	C₂×D₄	—	172	16	no	—
1131	C₂×D₄	—	172	4	no	—
1132	C₂×D₄	—	172	4	no	—
1133	C₂×D₄	—	172	4	no	—
1134	C₂×D₄	—	172	4	no	—
1135	C₂×D₄	—	172	4	no	—
1136	C₂×D₄	—	172	2	no	—
1137	C₂×D₄	—	172	4	no	—
1138	C₂×D₄	—	172	32	no	—
1139	C₂×D₄	—	172	32	no	—
1140	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1141	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1142	C₂×D₄	C₂³×D₄₃	1	4	yes	—
1143	C₂×D₄	C₂³×D₄₃	1	8	yes	—
1144	C₂²×C₄	—	2	4	no	—
1145	C₂²×C₄	—	2	4	no	—
1146	C₂²×C₄	—	4	4	no	—
1147	C₂²×C₄	—	4	4	no	—
1148	C₂²×C₄	—	43	4	no	—
1149	C₂²×C₄	—	43	1	no	—
1150	C₂²×C₄	—	43	1	no	—
1151	C₂²×C₄	—	43	1	no	—
1152	C₂²×C₄	—	43	1	no	—
1153	C₂²×C₄	—	43	1	no	—
1154	C₂²×C₄	—	43	2	no	—
1155	C₂²×C₄	—	43	1	no	—
1156	C₂²×C₄	—	43	1	no	—
1157	C₂²×C₄	—	43	4	no	—
1158	C₂²×C₄	—	43	8	no	—
1159	C₂²×C₄	—	43	4	no	—
1160	C₂²×C₄	—	43	8	no	—
1161	C₂²×C₄	—	43	8	no	—
1162	C₂²×C₄	—	43	8	no	—
1163	C₂²×C₄	—	43	8	no	—
1164	C₂²×C₄	—	86	4	no	—
1165	C₂²×C₄	—	86	4	no	—
1166	C₂²×C₄	—	172	4	no	—
1167	C₂²×C₄	—	172	4	no	—
1168	C₂²×C₄	—	172	4	no	—
1169	C₂²×C₄	—	172	4	no	—
1170	C₂²×C₄	—	172	4	no	—
1171	C₂²×C₄	—	172	2	no	—
1172	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1173	C₂²×C₄	C₂³×D₄₃	1	4	yes	—
1174	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1175	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1176	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1177	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1178	C₂²×C₄	C₂³×D₄₃	1	2	yes	—
1179	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1180	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1181	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1182	C₂²×C₄	C₂³×D₄₃	1	8	yes	—
1183	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1184	C₄⋊C₄	—	43	4	no	—
1185	C₄⋊C₄	—	43	4	no	—
1186	C₄⋊C₄	—	43	4	no	—
1187	C₄⋊C₄	—	43	4	no	—
1188	C₄⋊C₄	—	43	4	no	—
1189	C₄⋊C₄	—	43	4	no	—
1190	C₄⋊C₄	—	43	4	no	—
1191	C₄⋊C₄	—	43	4	no	—
1192	C₄⋊C₄	—	43	8	no	—
1193	C₄⋊C₄	—	43	8	no	—
1194	C₄⋊C₄	—	43	4	no	—
1195	C₄⋊C₄	—	43	8	no	—
1196	C₄⋊C₄	—	43	4	no	—
1197	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1198	C₄⋊C₄	C₂³×D₄₃	1	4	yes	—
1199	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1200	C₄⋊C₄	C₂³×D₄₃	1	8	yes	—
1201	C₂²⋊C₄	—	43	4	no	—
1202	C₂²⋊C₄	—	43	4	no	—
1203	C₂²⋊C₄	—	43	4	no	—
1204	C₂²⋊C₄	—	43	4	no	—
1205	C₂²⋊C₄	—	43	8	no	—
1206	C₂²⋊C₄	—	43	4	no	—
1207	C₂²⋊C₄	—	43	8	no	—
1208	C₂²⋊C₄	—	43	8	no	—
1209	C₂²⋊C₄	—	43	8	no	—
1210	C₂²⋊C₄	—	43	8	no	—
1211	C₂²⋊C₄	—	43	8	no	—
1212	C₂²⋊C₄	—	43	8	no	—
1213	C₂²⋊C₄	—	43	8	no	—
1214	C₂²⋊C₄	—	43	8	no	—
1215	C₂²⋊C₄	—	43	8	no	—
1216	C₂²⋊C₄	—	43	8	no	—
1217	C₂²⋊C₄	—	43	8	no	—
1218	C₂²⋊C₄	—	43	4	no	—
1219	C₂²⋊C₄	—	43	4	no	—
1220	C₂²⋊C₄	—	43	8	no	—
1221	C₂²⋊C₄	—	43	8	no	—
1222	C₂²⋊C₄	—	43	4	no	—
1223	C₂²⋊C₄	—	43	8	no	—
1224	C₂²⋊C₄	—	43	8	no	—
1225	C₂²⋊C₄	—	43	8	no	—
1226	C₂²⋊C₄	—	43	8	no	—
1227	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1228	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1229	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1230	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1231	C₂²⋊C₄	C₂³×D₄₃	1	4	yes	—
1232	C₂²⋊C₄	C₂³×D₄₃	1	8	yes	—
1233	C₄²	—	43	4	no	—
1234	C₄²	—	43	4	no	—
1235	C₄²	—	43	4	no	—
1236	C₄²	—	43	4	no	—
1237	C₄²	—	43	4	no	—
1238	C₄²	—	43	8	no	—
1239	C₄²	C₂³×D₄₃	1	4	yes	—
1240	C₄²	C₂³×D₄₃	1	8	yes	—
1241	C₂³	—	2	2	no	—
1242	C₂³	—	2	2	no	—
1243	C₂³	—	2	2	no	—
1244	C₂³	—	2	4	no	—
1245	C₂³	—	2	4	no	—
1246	C₂³	—	2	2	no	—
1247	C₂³	—	2	4	no	—
1248	C₂³	—	2	2	no	—
1249	C₂³	—	43	2	no	—
1250	C₂³	—	43	4	no	—
1251	C₂³	—	43	4	no	—
1252	C₂³	—	43	4	no	—
1253	C₂³	—	86	16	no	—
1254	C₂³	—	86	2	no	—
1255	C₂³	—	86	4	no	—
1256	C₂³	—	86	4	no	—
1257	C₂³	—	86	4	no	—
1258	C₂³	—	86	4	no	—
1259	C₂³	—	86	4	no	—
1260	C₂³	—	86	4	no	—
1261	C₂³	—	86	2	no	—
1262	C₂³	—	86	4	no	—
1263	C₂³	—	86	4	no	—
1264	C₂³	—	86	2	no	—
1265	C₂³	—	86	4	no	—
1266	C₂³	—	344	16	no	—
1267	C₂³	—	344	16	no	—
1268	C₂³	—	344	16	no	—
1269	C₂³	—	172	8	no	—
1270	C₂³	—	172	8	no	—
1271	C₂³	—	172	8	no	—
1272	C₂³	—	172	8	no	—
1273	C₂³	—	172	8	no	—
1274	C₂³	—	172	8	no	—
1275	C₂³	—	172	8	no	—
1276	C₂³	—	172	8	no	—
1277	C₂³	#13063371	1	4	yes	—
1278	C₂³	C₂⁴×D₄₃	1	2	yes	—
1279	C₂³	C₂⁴×D₄₃	1	4	yes	—
1280	C₂³	C₂⁴×D₄₃	1	2	yes	—
1281	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1282	Q₈	—	2	8	no	—
1283	Q₈	—	2	8	no	—
1284	Q₈	—	4	8	no	—
1285	Q₈	—	172	8	no	—
1286	Q₈	—	172	4	no	—
1287	D₄	—	2	8	no	—
1288	D₄	—	2	16	no	—
1289	D₄	—	2	8	no	—
1290	D₄	—	4	8	no	—
1291	D₄	—	86	8	no	—
1292	D₄	—	86	16	no	—
1293	D₄	—	86	8	no	—
1294	D₄	—	86	8	no	—
1295	D₄	—	86	8	no	—
1296	D₄	—	172	8	no	—
1297	D₄	—	172	8	no	—
1298	D₄	—	172	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	4	no	—
1308	D₄	—	172	8	no	—
1309	C₂×C₄	—	2	2	no	—
1310	C₂×C₄	—	2	2	no	—
1311	C₂×C₄	—	2	4	no	—
1312	C₂×C₄	—	2	4	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	—	2	8	no	—
1318	C₂×C₄	—	4	8	no	—
1319	C₂×C₄	—	4	8	no	—
1320	C₂×C₄	—	43	2	no	—
1321	C₂×C₄	—	43	2	no	—
1322	C₂×C₄	—	43	2	no	—
1323	C₂×C₄	—	43	2	no	—
1324	C₂×C₄	—	43	2	no	—
1325	C₂×C₄	—	43	4	no	—
1326	C₂×C₄	—	43	2	no	—
1327	C₂×C₄	—	43	2	no	—
1328	C₂×C₄	—	86	2	no	—
1329	C₂×C₄	—	86	2	no	—
1330	C₂×C₄	—	86	2	no	—
1331	C₂×C₄	—	86	8	no	—
1332	C₂×C₄	—	86	2	no	—
1333	C₂×C₄	—	86	4	no	—
1334	C₂×C₄	—	86	2	no	—
1335	C₂×C₄	—	86	2	no	—
1336	C₂×C₄	—	86	2	no	—
1337	C₂×C₄	—	86	8	no	—
1338	C₂×C₄	—	172	8	no	—
1339	C₂×C₄	—	172	8	no	—
1340	C₂×C₄	—	172	8	no	—
1341	C₂×C₄	—	172	8	no	—
1342	C₂×C₄	—	172	8	no	—
1343	C₂×C₄	—	172	4	no	—
1344	C₂×C₄	#13063370	1	4	yes	—
1345	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1346	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1347	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1348	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1349	C₂×C₄	C₂⁴×D₄₃	1	4	yes	—
1350	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1351	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1352	C₂×C₄	C₂⁴×D₄₃	1	2	yes	—
1353	C₂²	—	2	8	no	—
1354	C₂²	—	2	2	no	—
1355	C₂²	—	2	2	no	—
1356	C₂²	—	2	2	no	—
1357	C₂²	—	2	4	no	—
1358	C₂²	—	2	4	no	—
1359	C₂²	—	2	2	no	—
1360	C₂²	—	2	4	no	—
1361	C₂²	—	2	2	no	—
1362	C₂²	—	4	4	no	—
1363	C₂²	—	4	8	no	—
1364	C₂²	—	86	2	no	—
1365	C₂²	—	86	4	no	—
1366	C₂²	—	86	4	no	—
1367	C₂²	—	86	4	no	—
1368	C₂²	—	86	4	no	—
1369	C₂²	—	86	4	no	—
1370	C₂²	—	86	4	no	—
1371	C₂²	—	86	2	no	—
1372	C₂²	—	86	4	no	—
1373	C₂²	—	86	4	no	—
1374	C₂²	—	86	2	no	—
1375	C₂²	—	86	4	no	—
1376	C₂²	—	344	16	no	—
1377	C₂²	—	344	16	no	—
1378	C₂²	—	344	16	no	—
1379	C₂²	—	172	4	no	—
1380	C₂²	—	172	8	no	—
1381	C₂²	—	172	8	no	—
1382	C₂²	—	172	8	no	—
1383	C₂²	C₂×#13063370	1	2	yes	—
1384	C₂²	C₂×#13063371	1	4	yes	—
1385	C₂²	C₂×#13063371	1	2	yes	—
1386	C₂²	#14583736	1	2	yes	—
1387	C₂²	C₂⁵×D₄₃	1	1	yes	characteristic
1388	C₄	—	2	2	no	—
1389	C₄	—	2	2	no	—
1390	C₄	—	2	4	no	—
1391	C₄	—	2	4	no	—
1392	C₄	—	2	2	no	—
1393	C₄	—	2	4	no	—
1394	C₄	—	2	2	no	—
1395	C₄	—	86	2	no	—
1396	C₄	—	86	2	no	—
1397	C₄	—	86	2	no	—
1398	C₄	—	86	2	no	—
1399	C₄	—	86	4	no	—
1400	C₄	—	86	2	no	—
1401	C₄	—	86	2	no	—
1402	C₄	—	86	2	no	—
1403	C₄	C₂×#13063370	1	4	yes	—
1404	C₂	—	2	4	no	—
1405	C₂	—	4	2	no	—
1406	C₂	—	4	4	no	—
1407	C₂	—	172	2	no	—
1408	C₂	—	172	4	no	—
1409	C₂	—	172	4	no	—
1410	C₂	—	172	4	no	—
1411	C₂	#19149112	1	4	yes	direct product factor
1412	C₂	C₂²×#13063370	1	1	yes	characteristic
1413	C₂	C₂²×#13063371	1	1	yes	characteristic
1414	C₂	C₂×#14583736	1	1	yes	characteristic

	subgroup	G/H
center	C₂³	C₂⁴×D₄₃
commutator, cosocle	C₂²×C₄₃	C₂⁶
Frattini	C₂²	C₂⁵×D₄₃
Fitting	C₂×C₄₃×#548	C₂
socle	C₂³×C₄₃	C₂⁵
hypercenter	C₂×#548	D₄₃
hypocenter	C₄₃	C₂×#3558
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂³ ◁ C₂×#548

Complements

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

N	H ≅ G/N	type
1. #19149112	C₂	direct (N × H)
2. C₂×#14583645	C₂	semidirect
3. C₂×#14583641	C₂	semidirect
4. C₂×#14583634	C₂	semidirect
5. C₂×#14583631	C₂	semidirect
6. C₂×#14583560	C₂	semidirect
7. C₂×#14583544	C₂	semidirect
8. C₂×#14583540	C₂	semidirect
9. C₂×#14583538	C₂	semidirect
10. C₂×#14583537	C₂	semidirect
11. C₂×D₄×D₁₇₂	C₂	semidirect
12. C₂×#14583533	C₂	semidirect
13. C₂×#14583522	C₂	semidirect
14. C₂×#14583521	C₂	semidirect
15. C₂×#14583489	C₂	semidirect
16. C₂×#14583483	C₂	semidirect
17. C₂×#14583482	C₂	semidirect
18. C₂×#14583467	C₂	semidirect
19. C₂×#14583463	C₂	semidirect
20. C₂×#14583457	C₂	semidirect
21. C₂×#14583444	C₂	semidirect
22. C₂×#14583429	C₂	semidirect
23. C₂²×#13063314	C₂	semidirect
24. C₂×C₄₃×#548	C₂	semidirect
25. C₂²×#10621902	C₂²	semidirect
26. C₂²×#10621900	C₂²	semidirect
28. C₂³×D₁₇₂	C₂²	semidirect
29. C₂²×D₄×D₄₃	C₂²	semidirect
30. C₂²×D₄×D₄₃	C₂²	semidirect
31. C₂²×D₄×D₄₃	C₂²	semidirect
32. #14583645	C₂²	semidirect
33. #14583641	C₂²	semidirect
34. #14583634	C₂²	semidirect
35. #14583631	C₂²	semidirect
36. #14583560	C₂²	semidirect
37. #14583544	C₂²	semidirect
38. #14583540	C₂²	semidirect
39. #14583538	C₂²	semidirect
40. #14583537	C₂²	semidirect
41. D₄×D₁₇₂	C₂²	semidirect
42. #14583533	C₂²	semidirect
43. #14583522	C₂²	semidirect
44. #14583521	C₂²	semidirect
45. #14583489	C₂²	semidirect
46. #14583483	C₂²	semidirect
47. #14583482	C₂²	semidirect
48. #14583467	C₂²	semidirect
49. #14583463	C₂²	semidirect
50. #14583457	C₂²	semidirect
51. #14583444	C₂²	semidirect
52. C₂×#13063324	C₂²	semidirect
55. C₂×#13063321	C₂²	semidirect
56. #14583429	C₂²	semidirect
57. C₂×#13063320	C₂²	semidirect
58. C₂×#13063320	C₂²	semidirect
59. C₂×#13063319	C₂²	semidirect
60. C₂×#13063318	C₂²	semidirect
61. C₂×#13063315	C₂²	semidirect
62. C₂×#13063314	C₂²	semidirect
63. C₂×#13063314	C₂²	semidirect
64. C₂×#13063314	C₂²	semidirect
65. C₂×#13063314	C₂²	semidirect
66. C₂×#13063314	C₂²	semidirect
67. C₂×#13063314	C₂²	semidirect
68. C₂×#13063314	C₂²	semidirect
69. C₂×#13063314	C₂²	semidirect
70. C₂×#13063314	C₂²	semidirect
71. C₂×#13063313	C₂²	semidirect
72. C₂×#13063313	C₂²	semidirect
73. C₂×#13063311	C₂²	semidirect
74. C₂×#13063311	C₂²	semidirect
75. C₂×#13063311	C₂²	semidirect
76. C₂×#13063311	C₂²	semidirect
77. C₂×#13063310	C₂²	semidirect
78. C₂×#13063310	C₂²	semidirect
79. C₂×#13063310	C₂²	semidirect
80. C₂×#13063310	C₂²	semidirect
81. C₂×#13063309	C₂²	semidirect
82. C₂×#13063309	C₂²	semidirect
83. C₂×#13063308	C₂²	semidirect
84. C₂×#13063307	C₂²	semidirect
85. C₂×#13063307	C₂²	semidirect
86. C₂×#13063306	C₂²	semidirect
87. C₂×#13063305	C₂²	semidirect
88. C₂×#13063303	C₂²	semidirect
89. C₂×#13063302	C₂²	semidirect
90. C₂×#13063301	C₂²	semidirect
91. C₂×#13063301	C₂²	semidirect
93. C₂×#13063300	C₂²	semidirect
94. C₂×#13063300	C₂²	semidirect
96. C₂×#13063299	C₂²	semidirect
97. C₂×#13063299	C₂²	semidirect
98. C₂×#13063299	C₂²	semidirect
99. C₂×#13063299	C₂²	semidirect
100. C₂×#13063298	C₂²	semidirect
101. C₂×#13063298	C₂²	semidirect
102. C₂×#13063298	C₂²	semidirect
104. C₂×#13063297	C₂²	semidirect
105. C₂×#13063297	C₂²	semidirect
106. C₂×#13063295	C₂²	semidirect
107. C₂×#13063295	C₂²	semidirect
108. C₂×#13063295	C₂²	semidirect
109. C₂×#13063295	C₂²	semidirect
110. C₂×#13063295	C₂²	semidirect
111. C₂×#13063295	C₂²	semidirect
112. C₂×#13063293	C₂²	semidirect
113. C₂×#13063293	C₂²	semidirect
114. C₂×#13063293	C₂²	semidirect
115. C₂×#13063293	C₂²	semidirect
116. C₂×Q₈×Dic₄₃	C₂²	semidirect
117. C₂×C₄×Dic₈₆	C₂²	semidirect
118. C₂×C₄×D₁₇₂	C₂²	semidirect
119. C₂×C₄×D₁₇₂	C₂²	semidirect
120. C₂×D₄×Dic₄₃	C₂²	semidirect
121. C₂×#13063287	C₂²	semidirect
122. C₂×#13063287	C₂²	semidirect
123. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
124. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
125. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
126. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
127. C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	semidirect
128. C₂×#13063284	C₂²	semidirect
129. C₂×#13063282	C₂²	semidirect
130. C₂²×(C₂×D₄₃)⋊C₄	C₂²	semidirect
131. C₂²×(C₂×D₄₃)⋊C₄	C₂²	semidirect
132. C₂²×(C₂×D₄₃)⋊C₄	C₂²	semidirect
133. C₂×C₂²⋊C₄×D₄₃	C₂²	semidirect
134. C₂²×C₄×Dic₄₃	C₂²	semidirect
135. C₂²×#41×C₄₃	C₂²	semidirect
136. C₂³×Q₈×C₄₃	C₂²	semidirect
137. C₄₃×#548	C₂²	semidirect
138. C₂×#124×C₄₃	C₂²	semidirect
139. C₂×#124×C₄₃	C₂²	semidirect
140. C₂×C₂²⋊Q₈×C₄₃	C₂²	semidirect
141. C₂×C₂²⋊Q₈×C₄₃	C₂²	semidirect
142. C₂×#121×C₄₃	C₂²	semidirect
143. C₂×#121×C₄₃	C₂²	semidirect
144. C₂×C₄×Q₈×C₄₃	C₂²	semidirect
145. C₂×C₄×D₄×C₄₃	C₂²	semidirect
146. C₂×C₄×D₄×C₄₃	C₂²	semidirect
151. C₂×#10621902	C₂³	semidirect
153. C₂×#10621900	C₂³	semidirect
168. C₂²×D₁₇₂	C₂³	semidirect
181. C₂×D₄×D₄₃	C₂³	semidirect
182. C₂×D₄×D₄₃	C₂³	semidirect
183. C₂×D₄×D₄₃	C₂³	semidirect
192. #13063324	C₂³	semidirect
195. #13063321	C₂³	semidirect
196. #13063320	C₂³	semidirect
197. #13063320	C₂³	semidirect
198. #13063319	C₂³	semidirect
199. #13063318	C₂³	semidirect
200. #13063315	C₂³	semidirect
201. #13063314	C₂³	semidirect
202. #13063314	C₂³	semidirect
203. #13063314	C₂³	semidirect
204. #13063314	C₂³	semidirect
205. #13063314	C₂³	semidirect
206. #13063314	C₂³	semidirect
207. #13063314	C₂³	semidirect
208. #13063314	C₂³	semidirect
209. #13063313	C₂³	semidirect
210. #13063313	C₂³	semidirect
211. #13063311	C₂³	semidirect
212. #13063311	C₂³	semidirect
213. #13063311	C₂³	semidirect
214. #13063311	C₂³	semidirect
215. #13063310	C₂³	semidirect
216. #13063310	C₂³	semidirect
217. #13063310	C₂³	semidirect
218. #13063310	C₂³	semidirect
219. #13063309	C₂³	semidirect
220. #13063309	C₂³	semidirect
221. #13063308	C₂³	semidirect
222. #13063307	C₂³	semidirect
223. #13063307	C₂³	semidirect
224. #13063306	C₂³	semidirect
225. #13063305	C₂³	semidirect
226. #13063303	C₂³	semidirect
227. #13063302	C₂³	semidirect
228. #13063301	C₂³	semidirect
229. #13063301	C₂³	semidirect
231. #13063300	C₂³	semidirect
232. #13063300	C₂³	semidirect
234. #13063299	C₂³	semidirect
235. #13063299	C₂³	semidirect
236. #13063299	C₂³	semidirect
237. #13063299	C₂³	semidirect
238. #13063298	C₂³	semidirect
239. #13063298	C₂³	semidirect
240. #13063298	C₂³	semidirect
242. #13063297	C₂³	semidirect
243. #13063297	C₂³	semidirect
244. #13063295	C₂³	semidirect
245. #13063295	C₂³	semidirect
246. #13063295	C₂³	semidirect
247. #13063295	C₂³	semidirect
248. #13063295	C₂³	semidirect
249. #13063295	C₂³	semidirect
250. #13063293	C₂³	semidirect
251. #13063293	C₂³	semidirect
252. #13063293	C₂³	semidirect
253. #13063293	C₂³	semidirect
254. Q₈×Dic₄₃	C₂³	semidirect
255. C₄×Dic₈₆	C₂³	semidirect
256. C₄×D₁₇₂	C₂³	semidirect
257. C₄×D₁₇₂	C₂³	semidirect
258. D₄×Dic₄₃	C₂³	semidirect
259. #13063287	C₂³	semidirect
260. #13063287	C₂³	semidirect
261. C₄×C₂²⋊D₄₃	C₂³	semidirect
262. C₄×C₂²⋊D₄₃	C₂³	semidirect
263. C₄×C₂²⋊D₄₃	C₂³	semidirect
264. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
265. (C₂²⋊D₄₃)⋊C₄	C₂³	semidirect
266. #13063284	C₂³	semidirect
267. #13063282	C₂³	semidirect
307. C₂×(C₂×D₄₃)⋊C₄	C₂³	semidirect
308. C₂×(C₂×D₄₃)⋊C₄	C₂³	semidirect
309. C₂×(C₂×D₄₃)⋊C₄	C₂³	semidirect
310. C₂²⋊C₄×D₄₃	C₂³	semidirect
317. C₂×C₄×Dic₄₃	C₂³	semidirect
319. C₂×#41×C₄₃	C₂³	semidirect
324. C₂²×Q₈×C₄₃	C₂³	semidirect
333. #124×C₄₃	C₂³	semidirect
334. #124×C₄₃	C₂³	semidirect
335. C₂²⋊Q₈×C₄₃	C₂³	semidirect
336. C₂²⋊Q₈×C₄₃	C₂³	semidirect
337. #121×C₄₃	C₂³	semidirect
338. #121×C₄₃	C₂³	semidirect
339. C₄×Q₈×C₄₃	C₂³	semidirect
340. C₄×D₄×C₄₃	C₂³	semidirect
341. C₄×D₄×C₄₃	C₂³	semidirect
703. C₂×#548	D₄₃	semidirect
724. C₂×C₄₃	#3558	semidirect
734. C₂²×#41	C₂×D₄₃	semidirect
735. C₂³×Q₈	C₂×D₄₃	semidirect
746. #548	C₂×D₄₃	semidirect
787. C₂×#124	C₂×D₄₃	semidirect
788. C₂×#124	C₂×D₄₃	semidirect
804. C₂×C₂²⋊Q₈	C₂×D₄₃	semidirect
805. C₂×C₂²⋊Q₈	C₂×D₄₃	semidirect
820. C₂×#121	C₂×D₄₃	semidirect
821. C₂×#121	C₂×D₄₃	semidirect
834. C₂×C₄×Q₈	C₂×D₄₃	semidirect
845. C₂×C₄×D₄	C₂×D₄₃	semidirect
846. C₂×C₄×D₄	C₂×D₄₃	semidirect
854. C₄₃	C₂×#3558	semidirect
863. C₂×#41	C₂²×D₄₃	semidirect
870. C₂²×Q₈	C₂²×D₄₃	semidirect
938. #124	C₂²×D₄₃	semidirect
939. #124	C₂²×D₄₃	semidirect
955. C₂²⋊Q₈	C₂²×D₄₃	semidirect
956. C₂²⋊Q₈	C₂²×D₄₃	semidirect
971. #121	C₂²×D₄₃	semidirect
972. #121	C₂²×D₄₃	semidirect
985. C₄×Q₈	C₂²×D₄₃	semidirect
996. C₄×D₄	C₂²×D₄₃	semidirect
997. C₄×D₄	C₂²×D₄₃	semidirect
1411. C₂	#19149112	direct (N × H)

Maximal subgroups

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

subgroup	index
#19149112	2
C₂×#14583645	2
C₂×#14583641	2
C₂×#14583634	2
C₂×#14583631	2
C₂×#14583560	2
C₂×#14583544	2
C₂×#14583540	2
C₂×#14583538	2
C₂×#14583537	2
C₂×D₄×D₁₇₂	2
C₂×#14583533	2
C₂×#14583522	2
C₂×#14583521	2
C₂×#14583489	2
C₂×#14583483	2
C₂×#14583482	2
C₂×#14583467	2
C₂×#14583463	2
C₂×#14583457	2
C₂×#14583444	2
C₂×#14583429	2
C₂²×#13063314	2
C₂×C₄₃×#548	2
C₂×#3558	43

Subgroups — C2×#19149112 #26003930

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₂×#19149112 #26003930