Subgroups — C₄×#14583573 #25256476

Order 11008.

2732 conjugacy classes of subgroups.

The subgroup lattice has 1560 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583573	C₂	1	1	yes	maximal, characteristic
2	#19137724	C₂	1	1	yes	maximal, characteristic, complemented
3	#19137720	C₂	1	1	yes	maximal, characteristic, complemented
4	#19137715	C₂	1	1	yes	maximal, characteristic, complemented
5	#19137705	C₂	1	1	yes	maximal, characteristic, complemented
6	#19137679	C₂	1	1	yes	maximal, characteristic, complemented
7	#19137673	C₂	1	1	yes	maximal, characteristic, complemented
8	#19137592	C₂	1	1	yes	maximal, characteristic, complemented
9	#19137587	C₂	1	1	yes	maximal, characteristic, complemented
10	#19137577	C₂	1	1	yes	maximal, characteristic
11	#19137536	C₂	1	1	yes	maximal, characteristic, complemented
12	#19137529	C₂	1	1	yes	maximal, characteristic, complemented
13	#19137456	C₂	1	1	yes	maximal, characteristic, complemented
14	#19137455	C₂	1	1	yes	maximal, characteristic, complemented
15	#19137445	C₂	1	1	yes	maximal, characteristic, complemented
16	#19137438	C₂	1	1	yes	maximal, characteristic, complemented
17	C₄×#13063320	C₂	1	1	yes	maximal, characteristic, complemented
18	C₄×#13063319	C₂	1	1	yes	maximal, characteristic, complemented
19	C₄×#13063313	C₂	1	1	yes	maximal, characteristic, complemented
20	C₄×#13063303	C₂	1	1	yes	maximal, characteristic, complemented
21	C₄×#13063302	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#13063310	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#13063310	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#13063308	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×#13063295	C₂	1	1	yes	maximal, characteristic
26	C₄²×D₁₇₂	C₂	1	1	yes	maximal, characteristic, complemented
27	C₄×(C₂²⋊D₄₃)⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
28	C₄×#13063282	C₂	1	1	yes	maximal, characteristic, complemented
29	C₂×C₄×(C₂×D₄₃)⋊C₄	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×C₂²⋊C₄×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄×#117×C₄₃	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂³×C₄×D₄₃	C₂²	1	1	yes	characteristic
33	#14583573	C₄	1	16	yes	direct product factor
34	C₂×#13063320	C₂²	1	1	yes	characteristic
35	C₂×#13063319	C₂²	1	1	yes	characteristic
36	C₂×#13063313	C₂²	1	1	yes	characteristic
37	C₂×#13063310	C₂²	1	1	yes	characteristic
38	C₂×#13063310	C₂²	1	1	yes	characteristic
39	C₂×#13063308	C₂²	1	1	yes	characteristic
40	C₂×#13063303	C₂²	1	1	yes	characteristic
41	C₂×#13063302	C₂²	1	1	yes	characteristic
42	C₂×#13063295	C₂²	1	1	yes	characteristic
43	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
44	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
45	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
46	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
47	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
48	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
49	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
50	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
51	C₂×#13063282	C₂²	1	1	yes	characteristic
52	C₂×#13063282	C₂²	1	1	yes	characteristic
53	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
54	C₂²×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
55	C₂×C₂²⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
56	C₂×C₂²⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
57	C₂²×C₄×Dic₄₃	C₂²	1	1	yes	characteristic
58	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
59	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
60	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic, complemented
61	#14582805	C₂²	1	1	yes	characteristic, complemented
62	#14582803	C₂²	1	1	yes	characteristic, complemented
63	#14582803	C₂²	1	1	yes	characteristic, complemented
64	#14582801	C₂²	1	1	yes	characteristic
65	#14582796	C₂²	1	1	yes	characteristic, complemented
66	#14582794	C₂²	1	1	yes	characteristic, complemented
67	#14582791	C₂²	1	1	yes	characteristic
68	#14582790	C₂²	1	1	yes	characteristic
69	#14582790	C₂²	1	1	yes	characteristic
70	#14582790	C₂²	1	1	yes	characteristic
71	#14582790	C₂²	1	1	yes	characteristic
72	#14582790	C₂²	1	1	yes	characteristic
73	#14582790	C₂²	1	1	yes	characteristic, complemented
74	#14582790	C₂²	1	1	yes	characteristic, complemented
75	#14582790	C₂²	1	1	yes	characteristic, complemented
76	#14582790	C₂²	1	1	yes	characteristic, complemented
77	#14582789	C₂²	1	1	yes	characteristic
78	#14582789	C₂²	1	1	yes	characteristic
79	#14582789	C₂²	1	1	yes	characteristic, complemented
80	#14582788	C₂²	1	1	yes	characteristic
81	#14582788	C₂²	1	1	yes	characteristic
82	#14582788	C₂²	1	1	yes	characteristic, complemented
83	#14582786	C₂²	1	1	yes	characteristic, complemented
84	#14582786	C₂²	1	1	yes	characteristic, complemented
85	#14582786	C₂²	1	1	yes	characteristic, complemented
86	#14582785	C₂²	1	1	yes	characteristic, complemented
87	#14582785	C₂²	1	1	yes	characteristic, complemented
88	#14582785	C₂²	1	1	yes	characteristic, complemented
89	#14582785	C₂²	1	1	yes	characteristic, complemented
90	#14582783	C₂²	1	1	yes	characteristic, complemented
91	#14582783	C₂²	1	1	yes	characteristic, complemented
92	#14582783	C₂²	1	1	yes	characteristic, complemented
93	#14582783	C₂²	1	1	yes	characteristic, complemented
94	#14582783	C₂²	1	1	yes	characteristic, complemented
95	#14582782	C₂²	1	1	yes	characteristic, complemented
96	#14582782	C₂²	1	1	yes	characteristic, complemented
97	#14582781	C₂²	1	1	yes	characteristic, complemented
98	#14582780	C₂²	1	1	yes	characteristic, complemented
99	#14582778	C₂²	1	1	yes	characteristic
100	#14582777	C₂²	1	1	yes	characteristic
101	#14582777	C₂²	1	1	yes	characteristic
102	#14582777	C₂²	1	1	yes	characteristic
103	#14582777	C₂²	1	1	yes	characteristic
104	#14582776	C₂²	1	1	yes	characteristic
105	#14582774	C₂²	1	1	yes	characteristic
106	#14582774	C₂²	1	1	yes	characteristic
107	#14582773	C₂²	1	1	yes	characteristic
108	#14582773	C₂²	1	1	yes	characteristic
109	#14582773	C₂²	1	1	yes	characteristic
110	#14582772	C₂²	1	1	yes	characteristic
111	#14582771	C₂²	1	1	yes	characteristic
112	#14582770	C₂²	1	1	yes	characteristic
113	#14582770	C₂²	1	1	yes	characteristic
114	#14582770	C₂²	1	1	yes	characteristic, complemented
115	#14582767	C₂²	1	1	yes	characteristic, complemented
116	#14582766	C₂²	1	1	yes	characteristic, complemented
117	#14582765	C₂²	1	1	yes	characteristic, complemented
118	#14582762	C₂²	1	1	yes	characteristic
119	#14582761	C₂²	1	1	yes	characteristic
120	#14582761	C₂²	1	1	yes	characteristic, complemented
121	#14582758	C₂²	1	1	yes	characteristic
122	#14582757	C₂²	1	1	yes	characteristic
123	#14582754	C₂²	1	1	yes	characteristic
124	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
125	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
126	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
127	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
128	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
129	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
130	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
131	C₄×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
132	C₄×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
133	C₄×C₄⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
134	#14582750	C₂²	1	1	yes	characteristic, complemented
135	#14582750	C₂²	1	1	yes	characteristic, complemented
136	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
137	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
138	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
139	C₂²⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic
140	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
141	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
142	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
143	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
144	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
145	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
146	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
147	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
148	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
149	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
150	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
151	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
152	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
153	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
154	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
155	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
156	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
157	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
158	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
159	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
160	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
161	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic
162	#14582746	C₂²	1	1	yes	characteristic
163	#14582746	C₂²	1	1	yes	characteristic
164	#14582746	C₂²	1	1	yes	characteristic, complemented
165	#14582746	C₂²	1	1	yes	characteristic, complemented
166	#14582745	C₂²	1	1	yes	characteristic, complemented
167	#14582745	C₂²	1	1	yes	characteristic, complemented
168	C₂×C₄₃⋊#95	C₂²	1	1	yes	characteristic
169	C₂×C₄₃⋊#95	C₂²	1	1	yes	characteristic
170	#95×D₄₃	C₂²	1	1	yes	characteristic
171	#95×D₄₃	C₂²	1	1	yes	characteristic
172	C₄²×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
173	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic
174	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic
175	C₂²×C₄²×C₄₃	C₂²	1	1	yes	characteristic
176	C₄×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
177	C₄×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
178	C₄×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
179	C₄×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
180	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
181	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
182	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
183	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic
184	C₄₃×#376	C₂²	1	1	yes	characteristic, complemented
185	C₄₃×#376	C₂²	1	1	yes	characteristic, complemented
186	C₄³×C₄₃	C₂²	1	1	yes	characteristic, complemented
187	C₄³×C₄₃	C₂²	1	1	yes	characteristic, complemented
188	C₂⁴×D₄₃	C₂³	1	1	yes	characteristic
189	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
190	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
191	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
192	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
193	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
194	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
195	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
196	C₂²×C₄×D₄₃	—	2	4	no	—
197	C₂²×C₄×D₄₃	—	2	4	no	—
198	C₂²×C₄×D₄₃	—	4	2	no	—
199	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
200	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
201	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
202	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
203	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
204	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
206	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
207	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
208	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
209	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
210	#13063320	C₂×C₄	1	8	yes	complemented
211	#13063319	C₂×C₄	1	8	yes	complemented
212	#13063313	C₂×C₄	1	8	yes	complemented
213	#13063310	C₂×C₄	1	8	yes	complemented
214	#13063310	C₂×C₄	1	8	yes	complemented
215	#13063308	C₂×C₄	1	8	yes	complemented
216	#13063303	C₂×C₄	1	8	yes	complemented
217	#13063302	C₂×C₄	1	8	yes	complemented
218	#13063295	C₂×C₄	1	8	yes	—
219	C₄×Dic₈₆	—	4	2	no	—
220	C₄×D₁₇₂	—	2	4	no	—
221	C₄×D₁₇₂	—	2	4	no	—
222	C₄×D₁₇₂	—	4	2	no	—
223	C₄×D₁₇₂	C₂×C₄	1	8	yes	complemented
224	C₄×C₂²⋊D₄₃	—	2	4	no	—
225	(C₂²⋊D₄₃)⋊C₄	—	2	4	no	—
226	(C₂²⋊D₄₃)⋊C₄	C₂×C₄	1	8	yes	complemented
227	#13063282	—	2	4	no	—
228	#13063282	C₂×C₄	1	8	yes	complemented
229	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
230	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
231	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
232	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
233	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
234	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
235	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
236	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
237	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
238	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
239	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
240	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
241	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
242	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
243	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
244	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
245	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
246	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
247	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
248	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
249	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
250	C₂×(C₂×D₄₃)⋊C₄	—	2	4	no	—
251	C₂×(C₂×D₄₃)⋊C₄	C₂×C₄	1	8	yes	complemented
252	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
253	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
254	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
255	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
256	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
257	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
258	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
259	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
260	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
261	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
275	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
276	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
277	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
278	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
279	C₂²⋊C₄×D₄₃	—	2	4	no	—
280	C₂²⋊C₄×D₄₃	C₂×C₄	1	8	yes	complemented
281	C₂×C₄×Dic₄₃	—	4	2	no	—
282	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
283	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
284	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
285	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
286	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
287	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
288	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
289	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
290	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
291	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
292	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
293	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
294	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
295	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
296	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
297	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
298	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
299	C₄²×D₄₃	—	2	4	no	—
300	C₄²×D₄₃	—	4	2	no	—
301	C₄²×D₄₃	—	4	2	no	—
302	C₄₃⋊#95	C₂³	1	1	yes	characteristic
303	C₄₃⋊#95	C₂³	1	1	yes	characteristic
304	C₄₃⋊#95	C₂³	1	1	yes	characteristic
305	C₄₃⋊#95	C₂³	1	1	yes	characteristic
306	C₄₃⋊#95	C₂³	1	1	yes	characteristic
307	C₄₃⋊#95	C₂³	1	1	yes	characteristic
308	C₄₃⋊#95	C₂³	1	1	yes	characteristic
309	C₄₃⋊#95	C₂³	1	1	yes	characteristic
310	C₄₃⋊#95	C₂³	1	1	yes	characteristic
311	C₄₃⋊#95	C₂³	1	1	yes	characteristic
312	C₄₃⋊#95	C₂³	1	1	yes	characteristic
313	C₄₃⋊#95	C₂³	1	1	yes	characteristic
314	C₄₃⋊#95	C₂³	1	1	yes	characteristic
315	C₄₃⋊#95	C₂³	1	1	yes	characteristic
316	C₄₃⋊#95	C₂³	1	1	yes	characteristic
317	C₄₃⋊#95	C₂³	1	1	yes	characteristic
318	C₄₃⋊#95	C₂³	1	1	yes	characteristic
319	C₄₃⋊#95	C₂³	1	1	yes	characteristic
320	C₄₃⋊#95	C₂³	1	1	yes	characteristic
321	C₄₃⋊#95	C₂³	1	1	yes	characteristic
322	C₄₃⋊#95	C₂³	1	1	yes	characteristic
323	C₄₃⋊#95	C₂³	1	1	yes	characteristic
324	C₄₃⋊#95	C₂³	1	1	yes	characteristic
325	C₄₃⋊#95	C₂³	1	1	yes	characteristic
326	C₄₃⋊#95	C₂³	1	1	yes	characteristic
327	C₄₃⋊#95	C₂³	1	1	yes	characteristic
328	C₄₃⋊#95	C₂³	1	1	yes	characteristic
329	C₄₃⋊#95	C₂³	1	1	yes	characteristic
330	C₄₃⋊#95	C₂³	1	1	yes	characteristic
331	C₄₃⋊#95	C₂³	1	1	yes	characteristic
332	C₄₃⋊#95	C₂³	1	1	yes	characteristic
333	C₄₃⋊#95	C₂³	1	1	yes	characteristic
334	C₄₃⋊#95	C₂³	1	1	yes	characteristic
335	C₄₃⋊#95	C₂³	1	1	yes	characteristic
336	C₄₃⋊#95	C₂³	1	1	yes	characteristic
337	C₄₃⋊#95	C₂³	1	1	yes	characteristic
338	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
339	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
340	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
341	#117×C₄₃	—	2	4	no	—
342	#117×C₄₃	C₂×C₄	1	8	yes	complemented
343	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
344	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
345	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
346	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
347	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
348	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
349	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
350	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
351	C₂×C₄²×C₄₃	—	2	4	no	—
352	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
353	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
354	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
355	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
356	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
357	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
358	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
359	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
360	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
361	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
362	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
363	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
364	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
365	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
366	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
367	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
368	#95×C₄₃	C₂³	1	1	yes	characteristic
369	#95×C₄₃	C₂³	1	1	yes	characteristic
370	#95×C₄₃	C₂³	1	1	yes	characteristic
371	#95×C₄₃	C₂³	1	1	yes	characteristic
372	#95×C₄₃	C₂³	1	1	yes	characteristic
373	#95×C₄₃	C₂³	1	1	yes	characteristic
374	#95×C₄₃	C₂³	1	1	yes	characteristic
375	#95×C₄₃	C₂³	1	1	yes	characteristic
376	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
377	C₂³×D₄₃	—	2	2	no	—
378	C₂³×D₄₃	—	2	2	no	—
379	C₂³×D₄₃	—	2	2	no	—
380	C₂³×D₄₃	—	2	2	no	—
381	C₂³×D₄₃	—	4	1	no	—
382	C₂³×D₄₃	—	4	1	no	—
383	C₂³×D₄₃	C₂²×C₄	1	4	yes	—
384	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
385	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
386	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
387	C₂²×C₄×C₄₃	—	2	2	no	—
388	C₂²×C₄×C₄₃	—	2	2	no	—
389	C₂²×C₄×C₄₃	—	2	2	no	—
390	C₂²×C₄×C₄₃	—	2	2	no	—
391	C₂²×C₄×C₄₃	—	2	2	no	—
392	C₂²×C₄×C₄₃	—	2	2	no	—
393	C₂²×C₄×C₄₃	—	4	1	no	—
394	C₂²×C₄×C₄₃	C₂²×C₄	1	4	yes	—
395	C₂²×C₄×C₄₃	#41	1	4	yes	—
396	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
397	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
398	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
399	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
400	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
401	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
402	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
403	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
404	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
405	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
406	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
407	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
408	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
409	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
410	C₂×C₂²⋊D₄₃	—	2	2	no	—
411	C₂×C₂²⋊D₄₃	—	2	2	no	—
412	C₂×C₂²⋊D₄₃	C₂²×C₄	1	4	yes	—
413	C₂²×Dic₄₃	—	2	2	no	—
414	C₂²×Dic₄₃	—	2	2	no	—
415	C₂²×Dic₄₃	—	2	2	no	—
416	C₂²×Dic₄₃	—	2	2	no	—
417	C₂²×Dic₄₃	—	4	1	no	—
418	C₂²×Dic₄₃	—	4	1	no	—
419	C₂²×Dic₄₃	—	4	1	no	—
420	C₂²×Dic₄₃	—	4	1	no	—
421	C₂²×Dic₄₃	C₂²×C₄	1	4	yes	—
422	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
423	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
424	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
425	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
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	1	yes	characteristic
432	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
433	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
434	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
435	C₂×D₁₇₂	—	2	2	no	—
436	C₂×D₁₇₂	—	2	2	no	—
437	C₂×D₁₇₂	—	4	1	no	—
438	C₂×D₁₇₂	—	4	1	no	—
439	C₂×D₁₇₂	C₂²×C₄	1	4	yes	—
440	C₂×D₁₇₂	C₂²×C₄	1	4	yes	—
441	C₂×C₄×D₄₃	—	2	2	no	—
442	C₂×C₄×D₄₃	—	2	2	no	—
443	C₂×C₄×D₄₃	—	2	2	no	—
444	C₂×C₄×D₄₃	—	2	2	no	—
445	C₂×C₄×D₄₃	—	2	2	no	—
446	C₂×C₄×D₄₃	—	2	2	no	—
447	C₂×C₄×D₄₃	—	2	2	no	—
448	C₂×C₄×D₄₃	—	2	2	no	—
449	C₂×C₄×D₄₃	—	2	2	no	—
450	C₂×C₄×D₄₃	—	2	2	no	—
451	C₂×C₄×D₄₃	—	2	2	no	—
452	C₂×C₄×D₄₃	—	2	2	no	—
453	C₂×C₄×D₄₃	—	2	2	no	—
454	C₂×C₄×D₄₃	—	2	2	no	—
455	C₂×C₄×D₄₃	—	2	2	no	—
456	C₂×C₄×D₄₃	—	2	2	no	—
457	C₂×C₄×D₄₃	—	2	2	no	—
458	C₂×C₄×D₄₃	—	2	2	no	—
459	C₂×C₄×D₄₃	—	2	2	no	—
460	C₂×C₄×D₄₃	—	2	2	no	—
461	C₂×C₄×D₄₃	—	4	1	no	—
462	C₂×C₄×D₄₃	—	4	1	no	—
463	C₂×C₄×D₄₃	—	4	1	no	—
464	C₂×C₄×D₄₃	—	4	1	no	—
465	C₂×C₄×D₄₃	—	4	1	no	—
466	C₂×C₄×D₄₃	—	4	1	no	—
467	C₂×C₄×D₄₃	—	4	1	no	—
468	C₂×C₄×D₄₃	—	4	1	no	—
469	C₂×C₄×D₄₃	—	4	1	no	—
470	C₂×C₄×D₄₃	—	4	16	no	—
471	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
472	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	—
473	C₂×C₄×D₄₃	C₂²×C₄	1	4	yes	complemented
474	C₂×C₄×D₄₃	#41	1	4	yes	—
475	C₂×Dic₈₆	—	4	1	no	—
476	C₂×Dic₈₆	—	4	1	no	—
477	C₂×Dic₈₆	C₂²×C₄	1	4	yes	complemented
478	C₄⋊C₄×C₄₃	—	2	2	no	—
479	C₄⋊C₄×C₄₃	—	2	2	no	—
480	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	complemented
481	C₄⋊C₄×C₄₃	C₂²×C₄	1	4	yes	complemented
482	C₂²⋊C₄×C₄₃	—	2	2	no	—
483	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
484	C₂²⋊C₄×C₄₃	C₂²×C₄	1	4	yes	—
485	C₂²⋊C₄×C₄₃	#41	1	4	yes	—
486	C₄²×C₄₃	—	2	2	no	—
487	C₄²×C₄₃	—	2	2	no	—
488	C₄²×C₄₃	—	2	2	no	—
489	C₄²×C₄₃	—	2	2	no	—
490	C₄²×C₄₃	—	2	2	no	—
491	C₄²×C₄₃	—	2	2	no	—
492	C₄²×C₄₃	—	2	2	no	—
493	C₄²×C₄₃	—	2	2	no	—
494	C₄²×C₄₃	—	2	2	no	—
495	C₄²×C₄₃	—	2	2	no	—
496	C₄²×C₄₃	—	2	2	no	—
497	C₄²×C₄₃	—	2	2	no	—
498	C₄²×C₄₃	—	4	1	no	—
499	C₄²×C₄₃	—	4	1	no	—
500	C₄²×C₄₃	C₂²×C₄	1	4	yes	complemented
501	C₄²×C₄₃	C₂²×C₄	1	4	yes	complemented
502	C₂²⋊Dic₄₃	—	2	2	no	—
503	C₂²⋊Dic₄₃	—	2	2	no	—
504	C₂²⋊Dic₄₃	C₂²×C₄	1	4	yes	—
505	(C₂×D₄₃)⋊C₄	—	2	2	no	—
506	(C₂×D₄₃)⋊C₄	—	2	2	no	—
507	(C₂×D₄₃)⋊C₄	—	2	2	no	—
508	(C₂×D₄₃)⋊C₄	—	2	2	no	—
509	(C₂×D₄₃)⋊C₄	—	2	2	no	—
510	(C₂×D₄₃)⋊C₄	—	2	2	no	—
511	(C₂×D₄₃)⋊C₄	—	2	2	no	—
512	(C₂×D₄₃)⋊C₄	—	2	2	no	—
513	(C₂×D₄₃)⋊C₄	—	2	2	no	—
514	(C₂×D₄₃)⋊C₄	—	2	2	no	—
515	(C₂×D₄₃)⋊C₄	—	2	2	no	—
516	(C₂×D₄₃)⋊C₄	—	4	1	no	—
517	(C₂×D₄₃)⋊C₄	—	4	1	no	—
518	(C₂×D₄₃)⋊C₄	—	4	1	no	—
519	(C₂×D₄₃)⋊C₄	—	4	1	no	—
520	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
521	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
522	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
523	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
524	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
525	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
526	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
527	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	—
528	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	complemented
529	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	complemented
530	(C₂×D₄₃)⋊C₄	C₂²×C₄	1	4	yes	complemented
531	(C₂×D₄₃)⋊C₄	#41	1	4	yes	—
532	C₄⋊Dic₄₃	—	2	2	no	—
533	C₄⋊Dic₄₃	—	2	2	no	—
534	C₄⋊Dic₄₃	—	4	1	no	—
535	C₄⋊Dic₄₃	—	4	1	no	—
536	C₄⋊Dic₄₃	C₂²×C₄	1	4	yes	complemented
537	Dic₄₃⋊C₄	—	2	2	no	—
538	Dic₄₃⋊C₄	—	2	2	no	—
539	Dic₄₃⋊C₄	—	2	2	no	—
540	Dic₄₃⋊C₄	—	2	2	no	—
541	Dic₄₃⋊C₄	—	4	1	no	—
542	Dic₄₃⋊C₄	—	4	1	no	—
543	Dic₄₃⋊C₄	—	4	1	no	—
544	Dic₄₃⋊C₄	—	4	1	no	—
545	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	complemented
546	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	complemented
547	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	complemented
548	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	complemented
549	Dic₄₃⋊C₄	C₂²×C₄	1	4	yes	complemented
550	C₄×Dic₄₃	—	2	2	no	—
551	C₄×Dic₄₃	—	2	2	no	—
552	C₄×Dic₄₃	—	2	2	no	—
553	C₄×Dic₄₃	—	2	2	no	—
554	C₄×Dic₄₃	—	2	2	no	—
555	C₄×Dic₄₃	—	2	2	no	—
556	C₄×Dic₄₃	—	2	2	no	—
557	C₄×Dic₄₃	—	2	2	no	—
558	C₄×Dic₄₃	—	2	2	no	—
559	C₄×Dic₄₃	—	4	1	no	—
560	C₄×Dic₄₃	—	4	1	no	—
561	C₄×Dic₄₃	—	4	1	no	—
562	C₄×Dic₄₃	—	4	1	no	—
563	C₄×Dic₄₃	—	4	1	no	—
564	C₄×Dic₄₃	—	4	1	no	—
565	C₄×Dic₄₃	—	4	1	no	—
566	C₄×Dic₄₃	C₂²×C₄	1	4	yes	complemented
567	C₂³×C₄₃	—	2	1	no	—
568	C₂³×C₄₃	—	2	1	no	—
569	C₂³×C₄₃	—	2	1	no	—
570	C₂³×C₄₃	—	2	1	no	—
571	C₂³×C₄₃	C₂³×C₄	1	2	yes	—
572	C₂³×C₄₃	C₂×#41	1	2	yes	—
573	C₂³×C₄₃	C₂×#41	1	2	yes	—
574	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
575	C₂²×D₄₃	—	2	1	no	—
576	C₂²×D₄₃	—	2	1	no	—
577	C₂²×D₄₃	—	2	1	no	—
578	C₂²×D₄₃	—	2	1	no	—
579	C₂²×D₄₃	—	2	8	no	—
580	C₂²×D₄₃	—	2	1	no	—
581	C₂²×D₄₃	—	2	1	no	—
582	C₂²×D₄₃	—	2	1	no	—
583	C₂²×D₄₃	—	2	1	no	—
584	C₂²×D₄₃	—	2	1	no	—
585	C₂²×D₄₃	—	2	1	no	—
586	C₂²×D₄₃	—	2	1	no	—
587	C₂²×D₄₃	—	2	1	no	—
588	C₂²×D₄₃	—	2	1	no	—
589	C₂²×D₄₃	—	2	1	no	—
590	C₂²×D₄₃	—	2	1	no	—
591	C₂²×D₄₃	—	2	1	no	—
592	C₂²×D₄₃	—	2	8	no	—
593	C₂²×D₄₃	—	4	4	no	—
594	C₂²×D₄₃	—	4	4	no	—
595	C₂²×D₄₃	—	4	4	no	—
596	C₂²×D₄₃	—	4	4	no	—
597	C₂²×D₄₃	—	4	4	no	—
598	C₂²×D₄₃	C₂³×C₄	1	2	yes	—
599	C₂²×D₄₃	C₂³×C₄	1	2	yes	—
600	C₂²×D₄₃	C₂³×C₄	1	2	yes	—
601	C₂²×D₄₃	C₂×#41	1	2	yes	—
602	C₂²×D₄₃	C₂×#41	1	2	yes	—
603	C₂×C₄×C₄₃	—	2	8	no	—
604	C₂×C₄×C₄₃	—	2	1	no	—
605	C₂×C₄×C₄₃	—	2	1	no	—
606	C₂×C₄×C₄₃	—	2	1	no	—
607	C₂×C₄×C₄₃	—	2	1	no	—
608	C₂×C₄×C₄₃	—	2	1	no	—
609	C₂×C₄×C₄₃	—	2	1	no	—
610	C₂×C₄×C₄₃	—	2	1	no	—
611	C₂×C₄×C₄₃	—	2	1	no	—
612	C₂×C₄×C₄₃	—	2	1	no	—
613	C₂×C₄×C₄₃	—	2	1	no	—
614	C₂×C₄×C₄₃	—	2	1	no	—
615	C₂×C₄×C₄₃	—	2	1	no	—
616	C₂×C₄×C₄₃	—	2	1	no	—
617	C₂×C₄×C₄₃	—	2	1	no	—
618	C₂×C₄×C₄₃	—	2	1	no	—
619	C₂×C₄×C₄₃	—	2	1	no	—
620	C₂×C₄×C₄₃	—	2	1	no	—
621	C₂×C₄×C₄₃	—	2	1	no	—
622	C₂×C₄×C₄₃	—	2	1	no	—
623	C₂×C₄×C₄₃	—	2	1	no	—
624	C₂×C₄×C₄₃	—	2	8	no	—
625	C₂×C₄×C₄₃	—	2	1	no	—
626	C₂×C₄×C₄₃	—	2	1	no	—
627	C₂×C₄×C₄₃	—	2	1	no	—
628	C₂×C₄×C₄₃	—	2	1	no	—
629	C₂×C₄×C₄₃	—	2	1	no	—
630	C₂×C₄×C₄₃	—	2	1	no	—
631	C₂×C₄×C₄₃	—	2	1	no	—
632	C₂×C₄×C₄₃	—	2	1	no	—
633	C₂×C₄×C₄₃	—	2	1	no	—
634	C₂×C₄×C₄₃	—	4	4	no	—
635	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
636	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
637	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
638	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
639	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
640	C₂×C₄×C₄₃	C₂³×C₄	1	2	yes	—
641	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
642	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
643	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
644	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
645	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
646	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
647	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
648	C₂²⋊D₄₃	—	2	8	no	—
649	C₂×Dic₄₃	—	2	1	no	—
650	C₂×Dic₄₃	—	2	1	no	—
651	C₂×Dic₄₃	—	2	1	no	—
652	C₂×Dic₄₃	—	2	1	no	—
653	C₂×Dic₄₃	—	2	1	no	—
654	C₂×Dic₄₃	—	2	1	no	—
655	C₂×Dic₄₃	—	2	1	no	—
656	C₂×Dic₄₃	—	2	1	no	—
657	C₂×Dic₄₃	—	2	1	no	—
658	C₂×Dic₄₃	—	2	1	no	—
659	C₂×Dic₄₃	—	2	1	no	—
660	C₂×Dic₄₃	—	2	1	no	—
661	C₂×Dic₄₃	—	2	1	no	—
662	C₂×Dic₄₃	—	2	1	no	—
663	C₂×Dic₄₃	—	2	1	no	—
664	C₂×Dic₄₃	—	2	1	no	—
665	C₂×Dic₄₃	—	2	1	no	—
666	C₂×Dic₄₃	—	2	1	no	—
667	C₂×Dic₄₃	—	2	1	no	—
668	C₂×Dic₄₃	—	2	1	no	—
669	C₂×Dic₄₃	—	2	1	no	—
670	C₂×Dic₄₃	—	2	1	no	—
671	C₂×Dic₄₃	—	2	1	no	—
672	C₂×Dic₄₃	—	2	1	no	—
673	C₂×Dic₄₃	—	2	1	no	—
674	C₂×Dic₄₃	—	2	1	no	—
675	C₂×Dic₄₃	—	2	1	no	—
676	C₂×Dic₄₃	—	2	1	no	—
677	C₂×Dic₄₃	—	2	1	no	—
678	C₂×Dic₄₃	—	2	1	no	—
679	C₂×Dic₄₃	—	2	1	no	—
680	C₂×Dic₄₃	—	2	1	no	—
681	C₂×Dic₄₃	—	4	4	no	—
682	C₂×Dic₄₃	—	4	4	no	—
683	C₂×Dic₄₃	—	4	4	no	—
684	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
685	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
686	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
687	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
688	C₂×Dic₄₃	C₂³×C₄	1	2	yes	—
689	C₂×Dic₄₃	C₂×#41	1	2	yes	—
690	C₂×Dic₄₃	C₂×#41	1	2	yes	—
691	D₁₇₂	—	2	8	no	—
692	D₁₇₂	—	4	4	no	—
693	C₄×D₄₃	—	2	8	no	—
694	C₄×D₄₃	—	2	8	no	—
695	C₄×D₄₃	—	4	4	no	—
696	C₄×D₄₃	—	4	4	no	—
697	C₄×D₄₃	—	4	4	no	—
698	C₄×D₄₃	—	4	4	no	—
699	C₄×D₄₃	—	4	4	no	—
700	C₄×D₄₃	—	4	4	no	—
701	C₄×D₄₃	—	4	4	no	—
702	C₄×D₄₃	—	4	4	no	—
703	C₄×D₄₃	—	4	4	no	—
704	Dic₈₆	—	4	4	no	—
705	C₄×#551	—	43	1	no	maximal, Sylow
706	C₂²×C₄₃	—	2	2	no	—
707	C₂²×C₄₃	—	2	2	no	—
708	C₂²×C₄₃	—	2	2	no	—
709	C₂²×C₄₃	—	2	2	no	—
710	C₂²×C₄₃	—	2	2	no	—
711	C₂²×C₄₃	—	2	2	no	—
712	C₂²×C₄₃	C₄×#41	1	4	yes	—
713	C₂²×C₄₃	C₂⁴×C₄	1	1	yes	characteristic
714	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
715	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
716	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
717	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
718	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
719	C₂²×C₄₃	#585	1	1	yes	characteristic
720	C₂×D₄₃	—	2	2	no	—
721	C₂×D₄₃	—	2	2	no	—
722	C₂×D₄₃	—	2	2	no	—
723	C₂×D₄₃	—	2	2	no	—
724	C₂×D₄₃	—	2	2	no	—
725	C₂×D₄₃	—	2	2	no	—
726	C₂×D₄₃	—	2	2	no	—
727	C₂×D₄₃	—	2	2	no	—
728	C₂×D₄₃	—	2	2	no	—
729	C₂×D₄₃	—	2	2	no	—
730	C₂×D₄₃	—	2	2	no	—
731	C₂×D₄₃	—	2	2	no	—
732	C₂×D₄₃	—	4	16	no	—
733	C₂×D₄₃	—	4	1	no	—
734	C₂×D₄₃	—	4	1	no	—
735	C₂×D₄₃	—	4	1	no	—
736	C₂×D₄₃	—	4	1	no	—
737	C₂×D₄₃	—	4	1	no	—
738	C₂×D₄₃	—	4	1	no	—
739	C₂×D₄₃	—	4	1	no	—
740	C₂×D₄₃	—	4	1	no	—
741	C₂×D₄₃	C₄×#41	1	4	yes	—
742	C₄×C₄₃	—	2	2	no	—
743	C₄×C₄₃	—	2	2	no	—
744	C₄×C₄₃	—	2	2	no	—
745	C₄×C₄₃	—	2	2	no	—
746	C₄×C₄₃	—	2	2	no	—
747	C₄×C₄₃	—	2	2	no	—
748	C₄×C₄₃	—	2	2	no	—
749	C₄×C₄₃	—	2	2	no	—
750	C₄×C₄₃	—	2	2	no	—
751	C₄×C₄₃	—	2	2	no	—
752	C₄×C₄₃	—	4	1	no	—
753	C₄×C₄₃	—	4	1	no	—
754	C₄×C₄₃	—	4	1	no	—
755	C₄×C₄₃	#551	1	4	yes	complemented
756	Dic₄₃	—	2	2	no	—
757	Dic₄₃	—	2	2	no	—
758	Dic₄₃	—	2	2	no	—
759	Dic₄₃	—	2	2	no	—
760	Dic₄₃	—	2	2	no	—
761	Dic₄₃	—	2	2	no	—
762	Dic₄₃	—	2	2	no	—
763	Dic₄₃	—	4	1	no	—
764	Dic₄₃	—	4	1	no	—
765	Dic₄₃	—	4	1	no	—
766	Dic₄₃	—	4	1	no	—
767	Dic₄₃	—	4	1	no	—
768	Dic₄₃	—	4	1	no	—
769	C₂×#551	—	43	1	no	—
770	#2374	—	43	1	no	—
771	#2373	—	43	1	no	—
772	#2373	—	43	1	no	—
773	#2372	—	43	1	no	—
774	#2368	—	43	1	no	—
775	#2368	—	43	1	no	—
776	#2359	—	43	1	no	—
777	#2359	—	43	1	no	—
778	#2358	—	43	1	no	—
779	#2353	—	43	1	no	—
780	#2353	—	43	1	no	—
781	#2343	—	43	1	no	—
782	#2343	—	43	1	no	—
783	#2342	—	43	1	no	—
784	#2342	—	43	1	no	—
785	C₄×#126	—	43	1	no	—
786	C₄×#126	—	43	1	no	—
787	C₄×#124	—	43	1	no	—
788	C₄×C₂²⋊Q₈	—	43	1	no	—
789	C₄×C₂²⋊Q₈	—	43	1	no	—
790	C₄×#123	—	43	1	no	—
791	C₄×#123	—	43	1	no	—
792	C₄×#123	—	43	1	no	—
793	C₄×#120	—	43	1	no	—
794	C₄²×D₄	—	43	1	no	—
795	C₄²×D₄	—	43	1	no	—
796	C₄×#117	—	43	1	no	—
797	C₄×#117	D₄₃	1	1	yes	characteristic, complemented
798	C₂×C₄×C₂²⋊C₄	—	43	1	no	—
799	C₂×C₄×C₂²⋊C₄	—	43	1	no	—
800	C₂×C₄₃	—	2	4	no	—
801	C₂×C₄₃	C₂×C₄×#41	1	1	yes	characteristic
802	C₂×C₄₃	C₂×C₄×#41	1	1	yes	characteristic
803	C₂×C₄₃	C₄×H(5,𝔽₂)	1	1	yes	characteristic
804	C₂×C₄₃	C₂×#551	1	1	yes	characteristic
805	C₂×C₄₃	#3475	1	1	yes	characteristic
806	C₂×C₄₃	#3475	1	1	yes	characteristic
807	C₂×C₄₃	#3481	1	1	yes	characteristic
808	D₄₃	—	2	4	no	—
809	D₄₃	—	4	2	no	—
810	D₄₃	—	4	2	no	—
811	C₂⁴×C₄	—	43	1	no	—
812	#551	—	43	16	no	—
813	C₂×#126	—	43	1	no	—
814	C₂×#126	—	43	1	no	—
815	C₂×#124	—	43	1	no	—
816	C₂×#123	—	43	1	no	—
817	C₂×#123	—	43	1	no	—
818	C₂×#123	—	43	1	no	—
819	C₂×C₂²⋊Q₈	—	43	1	no	—
820	C₂×C₂²⋊Q₈	—	43	1	no	—
821	C₂×#120	—	43	1	no	—
822	C₂×C₄×Q₈	—	43	1	no	—
823	C₂×C₄×D₄	—	43	1	no	—
824	C₂×C₄×D₄	—	43	1	no	—
825	C₂×C₄×D₄	—	43	1	no	—
826	C₂×C₄×D₄	—	43	1	no	—
827	C₂×C₄×D₄	—	43	1	no	—
828	C₂×C₄×D₄	—	43	1	no	—
829	C₂×C₄×D₄	—	43	1	no	—
830	C₂×#117	—	43	1	no	—
831	C₂×#117	—	43	1	no	—
832	C₂×#117	C₂×D₄₃	1	1	yes	characteristic
833	C₂×#117	C₂×D₄₃	1	1	yes	characteristic
834	C₂²×C₂²⋊C₄	—	43	1	no	—
835	C₂²×C₂²⋊C₄	—	43	1	no	—
836	C₂²×C₂²⋊C₄	—	43	1	no	—
837	C₂²×C₂²⋊C₄	—	43	1	no	—
838	C₂²×C₄²	—	43	1	no	—
839	C₂²×C₄²	—	43	1	no	—
840	C₂²×C₄²	—	43	1	no	—
841	C₂²×C₄²	—	43	1	no	—
842	C₂²×C₄²	C₂×D₄₃	1	1	yes	characteristic
843	#391	—	43	1	no	—
844	#391	—	43	1	no	—
845	#391	—	43	1	no	—
846	#390	—	43	1	no	—
847	#389	—	43	1	no	—
848	#389	—	43	1	no	—
849	#388	—	43	1	no	—
850	#388	—	43	1	no	—
851	#388	—	43	1	no	—
852	#388	—	43	1	no	—
853	#388	—	43	1	no	—
854	#388	—	43	1	no	—
855	#388	—	43	1	no	—
856	#388	—	43	1	no	—
857	#388	—	43	1	no	—
858	#388	—	43	1	no	—
859	#388	—	43	1	no	—
860	#388	—	43	1	no	—
861	#388	—	43	1	no	—
862	#388	—	43	1	no	—
863	#388	—	43	1	no	—
864	#388	—	43	1	no	—
865	#387	—	43	1	no	—
866	#387	—	43	1	no	—
867	#387	—	43	1	no	—
868	#387	—	43	1	no	—
869	#387	—	43	1	no	—
870	#387	—	43	1	no	—
871	#387	—	43	1	no	—
872	#387	—	43	1	no	—
873	#387	—	43	1	no	—
874	#387	—	43	1	no	—
875	#387	—	43	1	no	—
876	#387	—	43	1	no	—
877	#387	—	43	1	no	—
878	#387	—	43	1	no	—
879	#387	—	43	1	no	—
880	#387	—	43	1	no	—
881	#386	—	43	1	no	—
882	#386	—	43	1	no	—
883	#386	—	43	1	no	—
884	#386	—	43	1	no	—
885	#386	—	43	1	no	—
886	#386	—	43	1	no	—
887	#385	—	43	1	no	—
888	#385	—	43	1	no	—
889	#385	—	43	1	no	—
890	#385	—	43	1	no	—
891	#385	—	43	1	no	—
892	#385	—	43	1	no	—
893	#385	—	43	1	no	—
894	#385	—	43	1	no	—
895	#385	—	43	1	no	—
896	#385	—	43	1	no	—
897	#383	—	43	1	no	—
898	#383	—	43	1	no	—
899	#382	—	43	1	no	—
900	#381	—	43	1	no	—
901	#381	—	43	1	no	—
902	#381	—	43	1	no	—
903	#380	—	43	1	no	—
904	#380	—	43	1	no	—
905	#379	—	43	1	no	—
906	C₄×C₄⋊C₄	—	43	1	no	—
907	C₄×C₄⋊C₄	—	43	1	no	—
908	C₄×C₄⋊C₄	—	43	1	no	—
909	C₄×C₄⋊C₄	—	43	1	no	—
910	C₄×C₄⋊C₄	—	43	1	no	—
911	C₄×C₄⋊C₄	—	43	1	no	—
912	C₄×C₄⋊C₄	—	43	1	no	—
913	C₄×C₄⋊C₄	—	43	1	no	—
914	C₄×C₄⋊C₄	—	43	1	no	—
915	C₄×C₄⋊C₄	—	43	1	no	—
916	C₄×C₄⋊C₄	—	43	1	no	—
917	C₄×C₄⋊C₄	—	43	1	no	—
918	C₄×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
919	C₄×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
920	C₄×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
921	C₄×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
922	C₄×C₂²⋊C₄	—	43	1	no	—
923	C₄×C₂²⋊C₄	—	43	1	no	—
924	C₄×C₂²⋊C₄	—	43	1	no	—
925	C₄×C₂²⋊C₄	—	43	1	no	—
926	C₄×C₂²⋊C₄	—	43	1	no	—
927	C₄×C₂²⋊C₄	—	43	1	no	—
928	C₄×C₂²⋊C₄	—	43	1	no	—
929	C₄×C₂²⋊C₄	—	43	1	no	—
930	C₄×C₂²⋊C₄	—	43	1	no	—
931	C₄×C₂²⋊C₄	—	43	1	no	—
932	C₄×C₂²⋊C₄	—	43	1	no	—
933	C₄×C₂²⋊C₄	—	43	1	no	—
934	C₄×C₂²⋊C₄	—	43	1	no	—
935	C₄×C₂²⋊C₄	—	43	1	no	—
936	C₄×C₂²⋊C₄	—	43	1	no	—
937	C₄×C₂²⋊C₄	—	43	1	no	—
938	C₄×C₂²⋊C₄	—	43	1	no	—
939	C₄×C₂²⋊C₄	—	43	1	no	—
940	C₄×C₂²⋊C₄	—	43	1	no	—
941	C₄×C₂²⋊C₄	—	43	1	no	—
942	C₄×C₂²⋊C₄	—	43	1	no	—
943	C₄×C₂²⋊C₄	—	43	1	no	—
944	C₄×C₂²⋊C₄	—	43	1	no	—
945	C₄×C₂²⋊C₄	—	43	1	no	—
946	C₄×C₂²⋊C₄	—	43	1	no	—
947	C₄×C₂²⋊C₄	—	43	1	no	—
948	C₄×C₂²⋊C₄	—	43	1	no	—
949	C₄×C₂²⋊C₄	—	43	1	no	—
950	C₄×C₂²⋊C₄	—	43	1	no	—
951	C₄×C₂²⋊C₄	—	43	1	no	—
952	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
953	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
954	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
955	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic
956	#376	—	43	1	no	—
957	#376	—	43	1	no	—
958	#376	C₂×D₄₃	1	1	yes	characteristic, complemented
959	#376	C₂×D₄₃	1	1	yes	characteristic, complemented
960	C₂×#95	—	43	1	no	—
961	C₂×#95	—	43	1	no	—
962	C₂×#95	—	43	1	no	—
963	C₂×#95	—	43	1	no	—
964	C₄³	—	43	1	no	—
965	C₄³	C₂×D₄₃	1	1	yes	characteristic, complemented
966	C₄³	C₂×D₄₃	1	1	yes	characteristic, complemented
967	C₄₃	C₄×#551	1	1	yes	characteristic, complemented, Sylow
968	C₂⁵	—	43	1	no	—
969	C₂²×Q₈	—	43	1	no	—
970	C₂²×D₄	—	43	1	no	—
971	C₂²×D₄	—	43	1	no	—
972	C₂²×D₄	—	43	1	no	—
973	C₂³×C₄	—	43	1	no	—
974	C₂³×C₄	—	43	1	no	—
975	C₂³×C₄	—	43	1	no	—
976	C₂³×C₄	—	43	1	no	—
977	C₂³×C₄	—	43	1	no	—
978	C₂³×C₄	—	43	1	no	—
979	C₂³×C₄	—	43	1	no	—
980	C₂³×C₄	—	43	1	no	—
981	C₂³×C₄	—	43	1	no	—
982	C₂³×C₄	—	43	1	no	—
983	C₂³×C₄	—	43	1	no	—
984	C₂³×C₄	—	43	1	no	—
985	C₂³×C₄	—	43	1	no	—
986	C₂³×C₄	—	43	1	no	—
987	C₂³×C₄	—	86	4	no	—
988	C₂³×C₄	—	86	4	no	—
989	C₂³×C₄	—	172	2	no	—
990	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
991	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
992	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
993	#126	—	43	8	no	—
994	#126	—	43	8	no	—
995	#124	—	43	8	no	—
996	#123	—	43	8	no	—
997	#123	—	43	8	no	—
998	#123	—	43	8	no	—
999	C₂²⋊Q₈	—	43	8	no	—
1000	C₂²⋊Q₈	—	43	8	no	—
1001	#120	—	43	8	no	—
1002	C₄×Q₈	—	172	2	no	—
1003	C₄×D₄	—	43	8	no	—
1004	C₄×D₄	—	43	8	no	—
1005	C₄×D₄	—	86	4	no	—
1006	C₄×D₄	—	86	4	no	—
1007	C₄×D₄	—	86	4	no	—
1008	C₄×D₄	—	86	4	no	—
1009	C₄×D₄	—	172	2	no	—
1010	#117	—	2	4	no	—
1011	#117	—	43	8	no	—
1012	#117	—	86	4	no	—
1013	#117	C₄×D₄₃	1	8	yes	complemented
1014	C₂×C₄⋊C₄	—	43	1	no	—
1015	C₂×C₄⋊C₄	—	43	1	no	—
1016	C₂×C₄⋊C₄	—	43	1	no	—
1017	C₂×C₄⋊C₄	—	43	1	no	—
1018	C₂×C₄⋊C₄	—	43	1	no	—
1019	C₂×C₄⋊C₄	—	43	1	no	—
1020	C₂×C₄⋊C₄	—	43	1	no	—
1021	C₂×C₄⋊C₄	—	43	1	no	—
1022	C₂×C₄⋊C₄	—	43	1	no	—
1023	C₂×C₄⋊C₄	—	43	1	no	—
1024	C₂×C₄⋊C₄	—	43	1	no	—
1025	C₂×C₄⋊C₄	—	43	1	no	—
1026	C₂×C₄⋊C₄	—	43	1	no	—
1027	C₂×C₄⋊C₄	—	43	1	no	—
1028	C₂×C₄⋊C₄	—	43	1	no	—
1029	C₂×C₄⋊C₄	—	43	1	no	—
1030	C₂×C₄⋊C₄	—	43	1	no	—
1031	C₂×C₄⋊C₄	—	43	1	no	—
1032	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1033	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1034	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1035	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1036	C₂×C₂²⋊C₄	—	43	1	no	—
1037	C₂×C₂²⋊C₄	—	43	8	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	1	no	—
1043	C₂×C₂²⋊C₄	—	43	1	no	—
1044	C₂×C₂²⋊C₄	—	43	1	no	—
1045	C₂×C₂²⋊C₄	—	43	1	no	—
1046	C₂×C₂²⋊C₄	—	43	1	no	—
1047	C₂×C₂²⋊C₄	—	43	1	no	—
1048	C₂×C₂²⋊C₄	—	43	1	no	—
1049	C₂×C₂²⋊C₄	—	43	1	no	—
1050	C₂×C₂²⋊C₄	—	43	8	no	—
1051	C₂×C₂²⋊C₄	—	43	1	no	—
1052	C₂×C₂²⋊C₄	—	43	1	no	—
1053	C₂×C₂²⋊C₄	—	43	1	no	—
1054	C₂×C₂²⋊C₄	—	43	1	no	—
1055	C₂×C₂²⋊C₄	—	43	1	no	—
1056	C₂×C₂²⋊C₄	—	43	1	no	—
1057	C₂×C₂²⋊C₄	—	43	1	no	—
1058	C₂×C₂²⋊C₄	—	43	1	no	—
1059	C₂×C₂²⋊C₄	—	43	1	no	—
1060	C₂×C₂²⋊C₄	—	43	1	no	—
1061	C₂×C₂²⋊C₄	—	43	1	no	—
1062	C₂×C₂²⋊C₄	—	43	1	no	—
1063	C₂×C₂²⋊C₄	—	43	1	no	—
1064	C₂×C₂²⋊C₄	—	43	1	no	—
1065	C₂×C₂²⋊C₄	—	43	1	no	—
1066	C₂×C₂²⋊C₄	—	43	1	no	—
1067	C₂×C₂²⋊C₄	—	43	1	no	—
1068	C₂×C₂²⋊C₄	—	86	4	no	—
1069	C₂×C₂²⋊C₄	—	86	4	no	—
1070	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1071	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1072	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1073	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1074	C₂×C₄²	—	2	4	no	—
1075	C₂×C₄²	—	43	1	no	—
1076	C₂×C₄²	—	43	1	no	—
1077	C₂×C₄²	—	43	1	no	—
1078	C₂×C₄²	—	43	1	no	—
1079	C₂×C₄²	—	43	1	no	—
1080	C₂×C₄²	—	43	1	no	—
1081	C₂×C₄²	—	43	1	no	—
1082	C₂×C₄²	—	43	1	no	—
1083	C₂×C₄²	—	43	1	no	—
1084	C₂×C₄²	—	43	1	no	—
1085	C₂×C₄²	—	43	1	no	—
1086	C₂×C₄²	—	43	1	no	—
1087	C₂×C₄²	—	43	1	no	—
1088	C₂×C₄²	—	43	1	no	—
1089	C₂×C₄²	—	43	1	no	—
1090	C₂×C₄²	—	43	1	no	—
1091	C₂×C₄²	—	43	1	no	—
1092	C₂×C₄²	—	86	4	no	—
1093	C₂×C₄²	—	172	2	no	—
1094	C₂×C₄²	—	172	2	no	—
1095	C₂×C₄²	—	172	2	no	—
1096	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1097	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1098	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1099	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1100	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1101	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1102	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1103	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1104	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1105	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1106	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1107	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1108	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1109	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1110	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1111	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1112	#95	—	43	1	no	—
1113	#95	—	43	1	no	—
1114	#95	—	43	1	no	—
1115	#95	—	43	1	no	—
1116	#95	—	43	1	no	—
1117	#95	—	43	1	no	—
1118	#95	—	43	1	no	—
1119	#95	—	43	1	no	—
1120	#95	—	43	1	no	—
1121	#95	—	43	1	no	—
1122	#95	—	43	1	no	—
1123	#95	—	43	1	no	—
1124	#95	—	43	1	no	—
1125	#95	—	43	1	no	—
1126	#95	—	43	1	no	—
1127	#95	—	43	1	no	—
1128	#95	—	43	1	no	—
1129	#95	—	43	1	no	—
1130	#95	—	43	1	no	—
1131	#95	—	43	1	no	—
1132	#95	—	43	1	no	—
1133	#95	—	43	1	no	—
1134	#95	—	43	1	no	—
1135	#95	—	43	1	no	—
1136	#95	—	43	1	no	—
1137	#95	—	43	1	no	—
1138	#95	—	43	1	no	—
1139	#95	—	43	1	no	—
1140	#95	—	43	1	no	—
1141	#95	—	43	1	no	—
1142	#95	—	43	1	no	—
1143	#95	—	43	1	no	—
1144	#95	—	43	1	no	—
1145	#95	—	43	1	no	—
1146	#95	—	43	1	no	—
1147	#95	—	43	1	no	—
1148	#95	C₂²×D₄₃	1	1	yes	characteristic
1149	#95	C₂²×D₄₃	1	1	yes	characteristic
1150	#95	C₂²×D₄₃	1	1	yes	characteristic
1151	#95	C₂²×D₄₃	1	1	yes	characteristic
1152	#95	C₂²×D₄₃	1	1	yes	characteristic
1153	#95	C₂²×D₄₃	1	1	yes	characteristic
1154	#95	C₂²×D₄₃	1	1	yes	characteristic
1155	#95	C₂²×D₄₃	1	1	yes	characteristic
1156	C₂⁴	—	43	1	no	—
1157	C₂⁴	—	43	1	no	—
1158	C₂⁴	—	43	1	no	—
1159	C₂⁴	—	43	4	no	—
1160	C₂⁴	—	86	2	no	—
1161	C₂⁴	—	86	2	no	—
1162	C₂⁴	—	86	2	no	—
1163	C₂⁴	—	86	2	no	—
1164	C₂⁴	—	172	1	no	—
1165	C₂⁴	—	172	1	no	—
1166	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1167	C₂×Q₈	—	43	4	no	—
1168	C₂×Q₈	—	172	1	no	—
1169	C₂×Q₈	—	172	1	no	—
1170	C₂×D₄	—	43	4	no	—
1171	C₂×D₄	—	43	4	no	—
1172	C₂×D₄	—	43	4	no	—
1173	C₂×D₄	—	86	2	no	—
1174	C₂×D₄	—	86	2	no	—
1175	C₂×D₄	—	86	2	no	—
1176	C₂×D₄	—	86	2	no	—
1177	C₂×D₄	—	172	1	no	—
1178	C₂×D₄	—	172	1	no	—
1179	C₂²×C₄	—	2	2	no	—
1180	C₂²×C₄	—	2	2	no	—
1181	C₂²×C₄	—	2	2	no	—
1182	C₂²×C₄	—	2	2	no	—
1183	C₂²×C₄	—	2	2	no	—
1184	C₂²×C₄	—	2	2	no	—
1185	C₂²×C₄	—	4	1	no	—
1186	C₂²×C₄	—	43	1	no	—
1187	C₂²×C₄	—	43	1	no	—
1188	C₂²×C₄	—	43	1	no	—
1189	C₂²×C₄	—	43	1	no	—
1190	C₂²×C₄	—	43	1	no	—
1191	C₂²×C₄	—	43	1	no	—
1192	C₂²×C₄	—	43	1	no	—
1193	C₂²×C₄	—	43	4	no	—
1194	C₂²×C₄	—	43	4	no	—
1195	C₂²×C₄	—	43	4	no	—
1196	C₂²×C₄	—	43	4	no	—
1197	C₂²×C₄	—	43	4	no	—
1198	C₂²×C₄	—	43	1	no	—
1199	C₂²×C₄	—	43	1	no	—
1200	C₂²×C₄	—	43	1	no	—
1201	C₂²×C₄	—	43	1	no	—
1202	C₂²×C₄	—	43	1	no	—
1203	C₂²×C₄	—	43	1	no	—
1204	C₂²×C₄	—	86	2	no	—
1205	C₂²×C₄	—	86	2	no	—
1206	C₂²×C₄	—	86	2	no	—
1207	C₂²×C₄	—	86	2	no	—
1208	C₂²×C₄	—	86	2	no	—
1209	C₂²×C₄	—	86	2	no	—
1210	C₂²×C₄	—	86	2	no	—
1211	C₂²×C₄	—	86	2	no	—
1212	C₂²×C₄	—	86	2	no	—
1213	C₂²×C₄	—	86	2	no	—
1214	C₂²×C₄	—	86	2	no	—
1215	C₂²×C₄	—	86	2	no	—
1216	C₂²×C₄	—	86	2	no	—
1217	C₂²×C₄	—	86	2	no	—
1218	C₂²×C₄	—	86	2	no	—
1219	C₂²×C₄	—	86	2	no	—
1220	C₂²×C₄	—	86	2	no	—
1221	C₂²×C₄	—	86	2	no	—
1222	C₂²×C₄	—	86	2	no	—
1223	C₂²×C₄	—	86	2	no	—
1224	C₂²×C₄	—	86	2	no	—
1225	C₂²×C₄	—	86	2	no	—
1226	C₂²×C₄	—	86	2	no	—
1227	C₂²×C₄	—	86	2	no	—
1228	C₂²×C₄	—	172	1	no	—
1229	C₂²×C₄	—	172	1	no	—
1230	C₂²×C₄	—	172	1	no	—
1231	C₂²×C₄	—	172	1	no	—
1232	C₂²×C₄	—	172	1	no	—
1233	C₂²×C₄	—	172	1	no	—
1234	C₂²×C₄	—	172	1	no	—
1235	C₂²×C₄	—	172	1	no	—
1236	C₂²×C₄	—	172	1	no	—
1237	C₂²×C₄	—	172	16	no	—
1238	C₂²×C₄	—	172	1	no	—
1239	C₂²×C₄	—	172	1	no	—
1240	C₂²×C₄	—	172	1	no	—
1241	C₂²×C₄	—	172	1	no	—
1242	C₂²×C₄	C₂×C₄×D₄₃	1	4	yes	—
1243	C₂²×C₄	#10621898	1	4	yes	—
1244	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1245	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1246	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1247	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1248	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1249	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1250	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1251	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1252	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1253	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1254	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1255	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1256	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1257	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1258	C₄⋊C₄	—	2	2	no	—
1259	C₄⋊C₄	—	2	2	no	—
1260	C₄⋊C₄	—	43	4	no	—
1261	C₄⋊C₄	—	43	4	no	—
1262	C₄⋊C₄	—	43	4	no	—
1263	C₄⋊C₄	—	43	4	no	—
1264	C₄⋊C₄	—	43	4	no	—
1265	C₄⋊C₄	—	43	4	no	—
1266	C₄⋊C₄	—	86	2	no	—
1267	C₄⋊C₄	—	86	2	no	—
1268	C₄⋊C₄	—	86	2	no	—
1269	C₄⋊C₄	—	86	2	no	—
1270	C₄⋊C₄	—	86	2	no	—
1271	C₄⋊C₄	—	86	2	no	—
1272	C₄⋊C₄	—	172	1	no	—
1273	C₄⋊C₄	—	172	1	no	—
1274	C₄⋊C₄	—	172	1	no	—
1275	C₄⋊C₄	—	172	1	no	—
1276	C₄⋊C₄	—	172	1	no	—
1277	C₄⋊C₄	—	172	1	no	—
1278	C₄⋊C₄	C₂×C₄×D₄₃	1	4	yes	complemented
1279	C₄⋊C₄	C₂×C₄×D₄₃	1	4	yes	complemented
1280	C₂²⋊C₄	—	2	2	no	—
1281	C₂²⋊C₄	—	43	4	no	—
1282	C₂²⋊C₄	—	43	4	no	—
1283	C₂²⋊C₄	—	43	4	no	—
1284	C₂²⋊C₄	—	43	4	no	—
1285	C₂²⋊C₄	—	43	4	no	—
1286	C₂²⋊C₄	—	43	4	no	—
1287	C₂²⋊C₄	—	43	4	no	—
1288	C₂²⋊C₄	—	43	4	no	—
1289	C₂²⋊C₄	—	43	4	no	—
1290	C₂²⋊C₄	—	43	4	no	—
1291	C₂²⋊C₄	—	43	4	no	—
1292	C₂²⋊C₄	—	43	4	no	—
1293	C₂²⋊C₄	—	43	4	no	—
1294	C₂²⋊C₄	—	86	2	no	—
1295	C₂²⋊C₄	—	86	2	no	—
1296	C₂²⋊C₄	—	86	2	no	—
1297	C₂²⋊C₄	—	86	2	no	—
1298	C₂²⋊C₄	—	86	2	no	—
1299	C₂²⋊C₄	—	86	2	no	—
1300	C₂²⋊C₄	—	86	2	no	—
1301	C₂²⋊C₄	—	86	2	no	—
1302	C₂²⋊C₄	—	86	2	no	—
1303	C₂²⋊C₄	—	86	2	no	—
1304	C₂²⋊C₄	—	86	2	no	—
1305	C₂²⋊C₄	—	86	2	no	—
1306	C₂²⋊C₄	—	86	2	no	—
1307	C₂²⋊C₄	—	172	1	no	—
1308	C₂²⋊C₄	—	172	1	no	—
1309	C₂²⋊C₄	—	172	1	no	—
1310	C₂²⋊C₄	—	172	1	no	—
1311	C₂²⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1312	C₂²⋊C₄	C₂×C₄×D₄₃	1	4	yes	—
1313	C₂²⋊C₄	#10621898	1	4	yes	—
1314	C₄²	—	2	2	no	—
1315	C₄²	—	2	2	no	—
1316	C₄²	—	2	2	no	—
1317	C₄²	—	2	2	no	—
1318	C₄²	—	2	2	no	—
1319	C₄²	—	2	2	no	—
1320	C₄²	—	2	2	no	—
1321	C₄²	—	2	2	no	—
1322	C₄²	—	2	2	no	—
1323	C₄²	—	2	2	no	—
1324	C₄²	—	2	2	no	—
1325	C₄²	—	2	2	no	—
1326	C₄²	—	4	1	no	—
1327	C₄²	—	4	1	no	—
1328	C₄²	—	43	4	no	—
1329	C₄²	—	86	2	no	—
1330	C₄²	—	86	2	no	—
1331	C₄²	—	86	2	no	—
1332	C₄²	—	86	2	no	—
1333	C₄²	—	86	2	no	—
1334	C₄²	—	86	2	no	—
1335	C₄²	—	86	2	no	—
1336	C₄²	—	86	2	no	—
1337	C₄²	—	86	2	no	—
1338	C₄²	—	172	1	no	—
1339	C₄²	—	172	1	no	—
1340	C₄²	—	172	1	no	—
1341	C₄²	—	172	1	no	—
1342	C₄²	—	172	1	no	—
1343	C₄²	—	172	1	no	—
1344	C₄²	—	172	1	no	—
1345	C₄²	C₂×C₄×D₄₃	1	4	yes	complemented
1346	C₄²	C₂×C₄×D₄₃	1	4	yes	complemented
1347	C₂³	—	2	1	no	—
1348	C₂³	—	2	1	no	—
1349	C₂³	—	2	1	no	—
1350	C₂³	—	2	1	no	—
1351	C₂³	—	43	2	no	—
1352	C₂³	—	43	2	no	—
1353	C₂³	—	43	2	no	—
1354	C₂³	—	43	2	no	—
1355	C₂³	—	43	2	no	—
1356	C₂³	—	86	8	no	—
1357	C₂³	—	86	1	no	—
1358	C₂³	—	86	1	no	—
1359	C₂³	—	86	1	no	—
1360	C₂³	—	86	1	no	—
1361	C₂³	—	86	8	no	—
1362	C₂³	—	86	1	no	—
1363	C₂³	—	86	1	no	—
1364	C₂³	—	86	1	no	—
1365	C₂³	—	86	1	no	—
1366	C₂³	—	86	1	no	—
1367	C₂³	—	86	1	no	—
1368	C₂³	—	86	1	no	—
1369	C₂³	—	86	1	no	—
1370	C₂³	—	86	1	no	—
1371	C₂³	—	86	1	no	—
1372	C₂³	—	86	1	no	—
1373	C₂³	—	86	1	no	—
1374	C₂³	—	172	4	no	—
1375	C₂³	—	172	4	no	—
1376	C₂³	—	172	4	no	—
1377	C₂³	—	172	4	no	—
1378	C₂³	—	172	4	no	—
1379	C₂³	C₂²×C₄×D₄₃	1	2	yes	—
1380	C₂³	C₂×#10621898	1	2	yes	—
1381	C₂³	C₂×#10621898	1	2	yes	—
1382	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1383	Q₈	—	172	4	no	—
1384	D₄	—	86	8	no	—
1385	D₄	—	86	8	no	—
1386	D₄	—	172	4	no	—
1387	C₂×C₄	—	2	8	no	—
1388	C₂×C₄	—	2	1	no	—
1389	C₂×C₄	—	2	1	no	—
1390	C₂×C₄	—	2	1	no	—
1391	C₂×C₄	—	2	1	no	—
1392	C₂×C₄	—	2	1	no	—
1393	C₂×C₄	—	2	1	no	—
1394	C₂×C₄	—	2	1	no	—
1395	C₂×C₄	—	2	1	no	—
1396	C₂×C₄	—	2	1	no	—
1397	C₂×C₄	—	2	1	no	—
1398	C₂×C₄	—	2	1	no	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	8	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	4	4	no	—
1419	C₂×C₄	—	43	2	no	—
1420	C₂×C₄	—	43	2	no	—
1421	C₂×C₄	—	43	2	no	—
1422	C₂×C₄	—	43	2	no	—
1423	C₂×C₄	—	43	2	no	—
1424	C₂×C₄	—	43	2	no	—
1425	C₂×C₄	—	43	2	no	—
1426	C₂×C₄	—	86	8	no	—
1427	C₂×C₄	—	86	1	no	—
1428	C₂×C₄	—	86	1	no	—
1429	C₂×C₄	—	86	1	no	—
1430	C₂×C₄	—	86	1	no	—
1431	C₂×C₄	—	86	1	no	—
1432	C₂×C₄	—	86	1	no	—
1433	C₂×C₄	—	86	1	no	—
1434	C₂×C₄	—	86	1	no	—
1435	C₂×C₄	—	86	1	no	—
1436	C₂×C₄	—	86	1	no	—
1437	C₂×C₄	—	86	1	no	—
1438	C₂×C₄	—	86	1	no	—
1439	C₂×C₄	—	86	1	no	—
1440	C₂×C₄	—	86	1	no	—
1441	C₂×C₄	—	86	8	no	—
1442	C₂×C₄	—	86	1	no	—
1443	C₂×C₄	—	86	1	no	—
1444	C₂×C₄	—	86	1	no	—
1445	C₂×C₄	—	86	1	no	—
1446	C₂×C₄	—	86	1	no	—
1447	C₂×C₄	—	86	1	no	—
1448	C₂×C₄	—	86	1	no	—
1449	C₂×C₄	—	86	1	no	—
1450	C₂×C₄	—	86	1	no	—
1451	C₂×C₄	—	86	1	no	—
1452	C₂×C₄	—	86	1	no	—
1453	C₂×C₄	—	86	1	no	—
1454	C₂×C₄	—	86	1	no	—
1455	C₂×C₄	—	86	1	no	—
1456	C₂×C₄	—	86	1	no	—
1457	C₂×C₄	—	86	1	no	—
1458	C₂×C₄	—	86	1	no	—
1459	C₂×C₄	—	86	1	no	—
1460	C₂×C₄	—	172	4	no	—
1461	C₂×C₄	—	172	4	no	—
1462	C₂×C₄	—	172	4	no	—
1463	C₂×C₄	—	172	4	no	—
1464	C₂×C₄	—	172	4	no	—
1465	C₂×C₄	—	172	4	no	—
1466	C₂×C₄	—	172	4	no	—
1467	C₂×C₄	—	172	4	no	—
1468	C₂×C₄	—	172	4	no	—
1469	C₂×C₄	—	172	4	no	—
1470	C₂×C₄	—	172	4	no	—
1471	C₂×C₄	—	172	4	no	—
1472	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1473	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1474	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1475	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1476	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1477	C₂×C₄	C₂²×C₄×D₄₃	1	2	yes	—
1478	C₂×C₄	#41×D₄₃	1	2	yes	—
1479	C₂×C₄	#41×D₄₃	1	2	yes	—
1480	C₂×C₄	C₂×#10621898	1	2	yes	—
1481	C₂×C₄	C₂×#10621898	1	2	yes	—
1482	C₂×C₄	C₂×#10621898	1	2	yes	—
1483	C₂×C₄	C₂×#10621898	1	2	yes	—
1484	C₂×C₄	#13063371	1	2	yes	—
1485	C₂²	—	2	2	no	—
1486	C₂²	—	2	2	no	—
1487	C₂²	—	2	2	no	—
1488	C₂²	—	2	2	no	—
1489	C₂²	—	2	2	no	—
1490	C₂²	—	2	2	no	—
1491	C₂²	—	43	4	no	—
1492	C₂²	—	86	2	no	—
1493	C₂²	—	86	2	no	—
1494	C₂²	—	86	2	no	—
1495	C₂²	—	86	2	no	—
1496	C₂²	—	86	2	no	—
1497	C₂²	—	86	2	no	—
1498	C₂²	—	86	2	no	—
1499	C₂²	—	86	2	no	—
1500	C₂²	—	86	2	no	—
1501	C₂²	—	86	2	no	—
1502	C₂²	—	86	2	no	—
1503	C₂²	—	86	2	no	—
1504	C₂²	—	172	16	no	—
1505	C₂²	—	172	1	no	—
1506	C₂²	—	172	1	no	—
1507	C₂²	—	172	1	no	—
1508	C₂²	—	172	1	no	—
1509	C₂²	—	172	1	no	—
1510	C₂²	—	172	1	no	—
1511	C₂²	—	172	1	no	—
1512	C₂²	—	172	1	no	—
1513	C₂²	C₄×#10621898	1	4	yes	—
1514	C₂²	C₂³×C₄×D₄₃	1	1	yes	characteristic
1515	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1516	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1517	C₂²	C₂²×#10621898	1	1	yes	characteristic
1518	C₂²	C₂²×#10621898	1	1	yes	characteristic
1519	C₂²	C₂×#13063371	1	1	yes	characteristic
1520	C₂²	#14583735	1	1	yes	characteristic
1521	C₄	—	2	2	no	—
1522	C₄	—	2	2	no	—
1523	C₄	—	2	2	no	—
1524	C₄	—	2	2	no	—
1525	C₄	—	2	2	no	—
1526	C₄	—	2	2	no	—
1527	C₄	—	2	2	no	—
1528	C₄	—	2	2	no	—
1529	C₄	—	2	2	no	—
1530	C₄	—	2	2	no	—
1531	C₄	—	4	1	no	—
1532	C₄	—	4	1	no	—
1533	C₄	—	4	1	no	—
1534	C₄	—	86	2	no	—
1535	C₄	—	86	2	no	—
1536	C₄	—	86	2	no	—
1537	C₄	—	86	2	no	—
1538	C₄	—	86	2	no	—
1539	C₄	—	86	2	no	—
1540	C₄	—	86	2	no	—
1541	C₄	—	172	1	no	—
1542	C₄	—	172	1	no	—
1543	C₄	—	172	1	no	—
1544	C₄	—	172	1	no	—
1545	C₄	—	172	1	no	—
1546	C₄	—	172	1	no	—
1547	C₄	#14583573	1	4	yes	direct product factor
1548	C₂	—	2	4	no	—
1549	C₂	—	86	4	no	—
1550	C₂	—	172	2	no	—
1551	C₂	—	172	2	no	—
1552	C₂	C₄×#41×D₄₃	1	1	yes	characteristic
1553	C₂	C₂×C₄×#10621898	1	1	yes	characteristic
1554	C₂	C₄×#13063371	1	1	yes	characteristic
1555	C₂	C₂×#14583573	1	1	yes	characteristic
1556	C₂	#19148149	1	1	yes	characteristic
1557	C₂	#19148157	1	1	yes	characteristic
1558	C₂	#19148205	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₄₃
commutator	C₂²×C₄₃	C₂⁴×C₄
Frattini	C₂³	C₂⁴×D₄₃
Fitting	C₄×#117×C₄₃	C₂
socle, cosocle	C₂³×C₄₃	C₂⁵
prime radical	C₂×#13063295	C₂²
hypercenter	C₄×#117	D₄₃
hypocenter	C₄₃	C₄×#551
LCS	G ▷ C₂²×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂²×C₄ ◁ C₄×#117

Complements

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

N	H ≅ G/N	type
2. #19137724	C₂	semidirect
3. #19137720	C₂	semidirect
4. #19137715	C₂	semidirect
5. #19137705	C₂	semidirect
6. #19137679	C₂	semidirect
7. #19137673	C₂	semidirect
8. #19137592	C₂	semidirect
9. #19137587	C₂	semidirect
11. #19137536	C₂	semidirect
12. #19137529	C₂	semidirect
13. #19137456	C₂	semidirect
14. #19137455	C₂	semidirect
15. #19137445	C₂	semidirect
16. #19137438	C₂	semidirect
17. C₄×#13063320	C₂	semidirect
18. C₄×#13063319	C₂	semidirect
19. C₄×#13063313	C₂	semidirect
20. C₄×#13063303	C₂	semidirect
21. C₄×#13063302	C₂	semidirect
22. C₄×#13063310	C₂	semidirect
23. C₄×#13063310	C₂	semidirect
24. C₄×#13063308	C₂	semidirect
26. C₄²×D₁₇₂	C₂	semidirect
27. C₄×(C₂²⋊D₄₃)⋊C₄	C₂	semidirect
28. C₄×#13063282	C₂	semidirect
29. C₂×C₄×(C₂×D₄₃)⋊C₄	C₂	semidirect
30. C₄×C₂²⋊C₄×D₄₃	C₂	semidirect
31. C₄×#117×C₄₃	C₂	semidirect
33. #14583573	C₄	direct (N × H)
43. C₂×C₄×Dic₈₆	C₂²	semidirect
60. C₂×C₄²×D₄₃	C₂²	semidirect
61. #14582805	C₂²	semidirect
62. #14582803	C₂²	semidirect
63. #14582803	C₂²	semidirect
65. #14582796	C₂²	semidirect
66. #14582794	C₂²	semidirect
73. #14582790	C₂²	semidirect
74. #14582790	C₂²	semidirect
75. #14582790	C₂²	semidirect
76. #14582790	C₂²	semidirect
79. #14582789	C₂²	semidirect
82. #14582788	C₂²	semidirect
83. #14582786	C₂²	semidirect
84. #14582786	C₂²	semidirect
85. #14582786	C₂²	semidirect
86. #14582785	C₂²	semidirect
87. #14582785	C₂²	semidirect
88. #14582785	C₂²	semidirect
89. #14582785	C₂²	semidirect
90. #14582783	C₂²	semidirect
91. #14582783	C₂²	semidirect
92. #14582783	C₂²	semidirect
93. #14582783	C₂²	semidirect
94. #14582783	C₂²	semidirect
95. #14582782	C₂²	semidirect
96. #14582782	C₂²	semidirect
97. #14582781	C₂²	semidirect
98. #14582780	C₂²	semidirect
114. #14582770	C₂²	semidirect
115. #14582767	C₂²	semidirect
116. #14582766	C₂²	semidirect
117. #14582765	C₂²	semidirect
120. #14582761	C₂²	semidirect
124. C₄×Dic₄₃⋊C₄	C₂²	semidirect
125. C₄×Dic₄₃⋊C₄	C₂²	semidirect
126. C₄×Dic₄₃⋊C₄	C₂²	semidirect
127. C₄×Dic₄₃⋊C₄	C₂²	semidirect
128. C₄×Dic₄₃⋊C₄	C₂²	semidirect
129. C₄×Dic₄₃⋊C₄	C₂²	semidirect
130. C₄×Dic₄₃⋊C₄	C₂²	semidirect
131. C₄×C₄⋊Dic₄₃	C₂²	semidirect
132. C₄×C₄⋊Dic₄₃	C₂²	semidirect
133. C₄×C₄⋊Dic₄₃	C₂²	semidirect
134. #14582750	C₂²	semidirect
135. #14582750	C₂²	semidirect
156. C₄×(C₂×D₄₃)⋊C₄	C₂²	semidirect
157. C₄×(C₂×D₄₃)⋊C₄	C₂²	semidirect
158. C₄×(C₂×D₄₃)⋊C₄	C₂²	semidirect
159. C₄×(C₂×D₄₃)⋊C₄	C₂²	semidirect
160. C₄×(C₂×D₄₃)⋊C₄	C₂²	semidirect
164. #14582746	C₂²	semidirect
165. #14582746	C₂²	semidirect
166. #14582745	C₂²	semidirect
167. #14582745	C₂²	semidirect
172. C₄²×Dic₄₃	C₂²	semidirect
176. C₄×C₄⋊C₄×C₄₃	C₂²	semidirect
177. C₄×C₄⋊C₄×C₄₃	C₂²	semidirect
178. C₄×C₄⋊C₄×C₄₃	C₂²	semidirect
179. C₄×C₄⋊C₄×C₄₃	C₂²	semidirect
184. C₄₃×#376	C₂²	semidirect
185. C₄₃×#376	C₂²	semidirect
186. C₄³×C₄₃	C₂²	semidirect
187. C₄³×C₄₃	C₂²	semidirect
210. #13063320	C₂×C₄	semidirect
211. #13063319	C₂×C₄	semidirect
212. #13063313	C₂×C₄	semidirect
213. #13063310	C₂×C₄	semidirect
214. #13063310	C₂×C₄	semidirect
215. #13063308	C₂×C₄	semidirect
216. #13063303	C₂×C₄	semidirect
217. #13063302	C₂×C₄	semidirect
223. C₄×D₁₇₂	C₂×C₄	semidirect
226. (C₂²⋊D₄₃)⋊C₄	C₂×C₄	semidirect
228. #13063282	C₂×C₄	semidirect
251. C₂×(C₂×D₄₃)⋊C₄	C₂×C₄	semidirect
280. C₂²⋊C₄×D₄₃	C₂×C₄	semidirect
342. #117×C₄₃	C₂×C₄	semidirect
473. C₂×C₄×D₄₃	C₂²×C₄	semidirect
477. C₂×Dic₈₆	C₂²×C₄	semidirect
480. C₄⋊C₄×C₄₃	C₂²×C₄	semidirect
481. C₄⋊C₄×C₄₃	C₂²×C₄	semidirect
500. C₄²×C₄₃	C₂²×C₄	semidirect
501. C₄²×C₄₃	C₂²×C₄	semidirect
528. (C₂×D₄₃)⋊C₄	C₂²×C₄	semidirect
529. (C₂×D₄₃)⋊C₄	C₂²×C₄	semidirect
530. (C₂×D₄₃)⋊C₄	C₂²×C₄	semidirect
536. C₄⋊Dic₄₃	C₂²×C₄	semidirect
545. Dic₄₃⋊C₄	C₂²×C₄	semidirect
546. Dic₄₃⋊C₄	C₂²×C₄	semidirect
547. Dic₄₃⋊C₄	C₂²×C₄	semidirect
548. Dic₄₃⋊C₄	C₂²×C₄	semidirect
549. Dic₄₃⋊C₄	C₂²×C₄	semidirect
566. C₄×Dic₄₃	C₂²×C₄	semidirect
755. C₄×C₄₃	#551	semidirect
797. C₄×#117	D₄₃	semidirect
918. C₄×C₄⋊C₄	C₂×D₄₃	semidirect
919. C₄×C₄⋊C₄	C₂×D₄₃	semidirect
920. C₄×C₄⋊C₄	C₂×D₄₃	semidirect
921. C₄×C₄⋊C₄	C₂×D₄₃	semidirect
958. #376	C₂×D₄₃	semidirect
959. #376	C₂×D₄₃	semidirect
965. C₄³	C₂×D₄₃	semidirect
966. C₄³	C₂×D₄₃	semidirect
967. C₄₃	C₄×#551	semidirect
1013. #117	C₄×D₄₃	semidirect
1278. C₄⋊C₄	C₂×C₄×D₄₃	semidirect
1279. C₄⋊C₄	C₂×C₄×D₄₃	semidirect
1345. C₄²	C₂×C₄×D₄₃	semidirect
1346. C₄²	C₂×C₄×D₄₃	semidirect
1547. C₄	#14583573	direct (N × H)

Maximal subgroups

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

subgroup	index
C₂×#14583573	2
#19137724	2
#19137720	2
#19137715	2
#19137705	2
#19137679	2
#19137673	2
#19137592	2
#19137587	2
#19137577	2
#19137536	2
#19137529	2
#19137456	2
#19137455	2
#19137445	2
#19137438	2
C₄×#13063320	2
C₄×#13063319	2
C₄×#13063313	2
C₄×#13063303	2
C₄×#13063302	2
C₄×#13063310	2
C₄×#13063308	2
C₄×#13063295	2
C₄²×D₁₇₂	2
C₄×(C₂²⋊D₄₃)⋊C₄	2
C₄×#13063282	2
C₂×C₄×(C₂×D₄₃)⋊C₄	2
C₄×C₂²⋊C₄×D₄₃	2
C₄×#117×C₄₃	2
C₄×#551	43

Subgroups — C4×#14583573 #25256476

Conjugacy classes of subgroups

Complements

Maximal subgroups

Subgroups — C₄×#14583573 #25256476