Subgroups — #25264769

Order 11008.

2992 conjugacy classes of subgroups.

The subgroup lattice has 1720 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	C₂×#14583427	C₂	1	1	yes	maximal, characteristic, complemented
2	C₂×C₄×D₄×D₄₃	C₂	1	1	yes	maximal, characteristic, complemented
3	#19138842	C₂	1	1	yes	maximal, characteristic, complemented
4	#19138834	C₂	1	1	yes	maximal, characteristic, complemented
5	#19138662	C₂	1	1	yes	maximal, characteristic, complemented
6	#19138654	C₂	1	1	yes	maximal, characteristic, complemented
7	#19138505	C₂	1	1	yes	maximal, characteristic, complemented
8	#19138497	C₂	1	1	yes	maximal, characteristic, complemented
9	#19138462	C₂	1	1	yes	maximal, characteristic, complemented
10	#19138377	C₂	1	1	yes	maximal, characteristic, complemented
11	#19138312	C₂	1	1	yes	maximal, characteristic, complemented
12	#19138241	C₂	1	1	yes	maximal, characteristic, complemented
13	#19138167	C₂	1	1	yes	maximal, characteristic, complemented
14	#19138082	C₂	1	1	yes	maximal, characteristic, complemented
15	#19138060	C₂	1	1	yes	maximal, characteristic, complemented
16	#19138058	C₂	1	1	yes	maximal, characteristic, complemented
17	#19138041	C₂	1	1	yes	maximal, characteristic, complemented
18	#19137946	C₂	1	1	yes	maximal, characteristic
19	#19137858	C₂	1	1	yes	maximal, characteristic, complemented
20	#19137837	C₂	1	1	yes	maximal, characteristic, complemented
21	#19137835	C₂	1	1	yes	maximal, characteristic, complemented
22	C₄×#13063311	C₂	1	1	yes	maximal, characteristic, complemented
23	C₄×#13063303	C₂	1	1	yes	maximal, characteristic, complemented
24	C₄×#13063298	C₂	1	1	yes	maximal, characteristic, complemented
25	C₄×#13063295	C₂	1	1	yes	maximal, characteristic, complemented
26	C₄×#13063295	C₂	1	1	yes	maximal, characteristic, complemented
27	#19137058	C₂	1	1	yes	maximal, characteristic, complemented
28	#19136976	C₂	1	1	yes	maximal, characteristic, complemented
29	#19136974	C₂	1	1	yes	maximal, characteristic, complemented
30	C₄×#13063287	C₂	1	1	yes	maximal, characteristic, complemented
31	C₄₃×#2395	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×D₄×D₄₃	C₂²	1	1	yes	characteristic
33	C₂³×C₄×D₄₃	C₂²	1	1	yes	characteristic
34	C₂³×C₄×D₄₃	C₂²	1	1	yes	characteristic
35	#14583427	—	2	8	no	—
36	C₂×#13063320	C₂²	1	1	yes	characteristic, complemented
37	C₂×#13063318	C₂²	1	1	yes	characteristic, complemented
38	C₂×#13063315	C₂²	1	1	yes	characteristic, complemented
39	C₂×#13063311	C₂²	1	1	yes	characteristic
40	C₂×#13063311	C₂²	1	1	yes	characteristic
41	C₂×#13063310	C₂²	1	1	yes	characteristic, complemented
42	C₂×#13063307	C₂²	1	1	yes	characteristic, complemented
43	C₂×#13063303	C₂²	1	1	yes	characteristic
44	C₂×#13063303	C₂²	1	1	yes	characteristic, complemented
45	C₂×#13063298	C₂²	1	1	yes	characteristic
46	C₂×#13063298	C₂²	1	1	yes	characteristic
47	C₂×#13063295	C₂²	1	1	yes	characteristic
48	C₂×#13063295	C₂²	1	1	yes	characteristic
49	C₂×C₄×Dic₈₆	C₂²	1	1	yes	characteristic, complemented
50	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
51	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic
52	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
53	C₂×C₄×D₁₇₂	C₂²	1	1	yes	characteristic, complemented
54	C₂×D₄×Dic₄₃	C₂²	1	1	yes	characteristic
55	C₂×#13063287	C₂²	1	1	yes	characteristic
56	C₂×#13063287	C₂²	1	1	yes	characteristic
57	C₂×#13063287	C₂²	1	1	yes	characteristic
58	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
59	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic
60	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic, complemented
61	C₂×C₄×C₂²⋊D₄₃	C₂²	1	1	yes	characteristic, complemented
62	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
63	C₂×(C₂²⋊D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
64	C₄×D₄×D₄₃	—	2	8	no	—
65	C₂×#13063284	C₂²	1	1	yes	characteristic, complemented
66	C₂×#13063282	C₂²	1	1	yes	characteristic, complemented
67	C₂×#13063282	C₂²	1	1	yes	characteristic, complemented
68	C₂×C₄⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
69	C₂×C₂²⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
70	C₂×C₂²⋊C₄×D₄₃	C₂²	1	1	yes	characteristic
71	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic
72	C₂×C₄²×D₄₃	C₂²	1	1	yes	characteristic, complemented
73	#14582841	C₂²	1	1	yes	characteristic, complemented
74	#14582834	C₂²	1	1	yes	characteristic, complemented
75	#14582832	C₂²	1	1	yes	characteristic, complemented
76	#14582832	C₂²	1	1	yes	characteristic, complemented
77	#14582831	C₂²	1	1	yes	characteristic, complemented
78	#14582828	C₂²	1	1	yes	characteristic, complemented
79	#14582828	C₂²	1	1	yes	characteristic, complemented
80	#14582827	C₂²	1	1	yes	characteristic, complemented
81	#14582826	C₂²	1	1	yes	characteristic, complemented
82	#14582825	C₂²	1	1	yes	characteristic, complemented
83	#14582822	C₂²	1	1	yes	characteristic, complemented
84	#14582821	C₂²	1	1	yes	characteristic, complemented
85	#14582821	C₂²	1	1	yes	characteristic, complemented
86	#14582821	C₂²	1	1	yes	characteristic, complemented
87	#14582817	C₂²	1	1	yes	characteristic
88	#14582817	C₂²	1	1	yes	characteristic, complemented
89	#14582816	C₂²	1	1	yes	characteristic
90	#14582816	C₂²	1	1	yes	characteristic
91	#14582816	C₂²	1	1	yes	characteristic, complemented
92	#14582815	C₂²	1	1	yes	characteristic, complemented
93	#14582814	C₂²	1	1	yes	characteristic, complemented
94	#14582813	C₂²	1	1	yes	characteristic
95	#14582809	C₂²	1	1	yes	characteristic
96	#14582807	C₂²	1	1	yes	characteristic
97	#14582803	C₂²	1	1	yes	characteristic, complemented
98	#14582803	C₂²	1	1	yes	characteristic, complemented
99	#14582799	C₂²	1	1	yes	characteristic
100	#14582799	C₂²	1	1	yes	characteristic
101	#14582799	C₂²	1	1	yes	characteristic
102	#14582799	C₂²	1	1	yes	characteristic
103	#14582796	C₂²	1	1	yes	characteristic, complemented
104	#14582796	C₂²	1	1	yes	characteristic, complemented
105	#14582796	C₂²	1	1	yes	characteristic, complemented
106	#14582794	C₂²	1	1	yes	characteristic, complemented
107	#14582792	C₂²	1	1	yes	characteristic, complemented
108	#14582792	C₂²	1	1	yes	characteristic, complemented
109	#14582791	C₂²	1	1	yes	characteristic, complemented
110	#14582791	C₂²	1	1	yes	characteristic, complemented
111	#14582791	C₂²	1	1	yes	characteristic, complemented
112	#14582788	C₂²	1	1	yes	characteristic, complemented
113	#14582788	C₂²	1	1	yes	characteristic, complemented
114	#14582787	C₂²	1	1	yes	characteristic, complemented
115	#14582787	C₂²	1	1	yes	characteristic, complemented
116	#14582787	C₂²	1	1	yes	characteristic, complemented
117	#14582785	C₂²	1	1	yes	characteristic, complemented
118	#14582781	C₂²	1	1	yes	characteristic, complemented
119	#14582777	C₂²	1	1	yes	characteristic
120	#14582777	C₂²	1	1	yes	characteristic
121	#14582777	C₂²	1	1	yes	characteristic, complemented
122	#14582777	C₂²	1	1	yes	characteristic, complemented
123	#14582777	C₂²	1	1	yes	characteristic, complemented
124	#14582776	C₂²	1	1	yes	characteristic, complemented
125	#14582776	C₂²	1	1	yes	characteristic, complemented
126	#14582775	C₂²	1	1	yes	characteristic, complemented
127	#14582774	C₂²	1	1	yes	characteristic, complemented
128	#14582774	C₂²	1	1	yes	characteristic, complemented
129	#14582773	C₂²	1	1	yes	characteristic
130	#14582773	C₂²	1	1	yes	characteristic
131	#14582773	C₂²	1	1	yes	characteristic
132	#14582773	C₂²	1	1	yes	characteristic, complemented
133	#14582773	C₂²	1	1	yes	characteristic, complemented
134	#14582770	C₂²	1	1	yes	characteristic
135	#14582763	C₂²	1	1	yes	characteristic, complemented
136	#14582761	C₂²	1	1	yes	characteristic, complemented
137	#14582761	C₂²	1	1	yes	characteristic, complemented
138	#14582760	C₂²	1	1	yes	characteristic, complemented
139	#14582760	C₂²	1	1	yes	characteristic, complemented
140	#14582758	C₂²	1	1	yes	characteristic
141	#14582758	C₂²	1	1	yes	characteristic
142	#14582758	C₂²	1	1	yes	characteristic
143	#14582758	C₂²	1	1	yes	characteristic, complemented
144	#14582757	C₂²	1	1	yes	characteristic, complemented
145	#14582757	C₂²	1	1	yes	characteristic, complemented
146	#14582756	C₂²	1	1	yes	characteristic
147	#14582756	C₂²	1	1	yes	characteristic
148	#14582756	C₂²	1	1	yes	characteristic, complemented
149	#14582756	C₂²	1	1	yes	characteristic, complemented
150	#14582754	C₂²	1	1	yes	characteristic
151	#14582754	C₂²	1	1	yes	characteristic
152	#14582754	C₂²	1	1	yes	characteristic
153	#14582754	C₂²	1	1	yes	characteristic
154	#14582754	C₂²	1	1	yes	characteristic
155	#14582754	C₂²	1	1	yes	characteristic
156	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
157	C₄⋊C₄×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
158	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
159	C₄×Dic₄₃⋊C₄	C₂²	1	1	yes	characteristic, complemented
160	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
161	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
162	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic
163	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
164	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
165	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
166	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
167	C₄×(C₂×D₄₃)⋊C₄	C₂²	1	1	yes	characteristic, complemented
168	C₄×C₂²⋊Dic₄₃	C₂²	1	1	yes	characteristic, complemented
169	#14582746	C₂²	1	1	yes	characteristic
170	#14582746	C₂²	1	1	yes	characteristic
171	#14582746	C₂²	1	1	yes	characteristic, complemented
172	#14582746	C₂²	1	1	yes	characteristic, complemented
173	C₄²×Dic₄₃	C₂²	1	1	yes	characteristic, complemented
174	C₂×C₄×D₄×C₄₃	C₂²	1	1	yes	characteristic
175	C₂×#117×C₄₃	C₂²	1	1	yes	characteristic, complemented
176	C₄₃×#400	C₂²	1	1	yes	characteristic, complemented
177	C₄₃×#399	C₂²	1	1	yes	characteristic, complemented
178	C₄₃×#398	C₂²	1	1	yes	characteristic, complemented
179	C₄₃×#397	C₂²	1	1	yes	characteristic, complemented
180	C₄₃×#397	C₂²	1	1	yes	characteristic, complemented
181	C₄₃×#397	C₂²	1	1	yes	characteristic, complemented
182	C₄₃×#394	C₂²	1	1	yes	characteristic
183	C₄₃×#394	C₂²	1	1	yes	characteristic
184	C₄×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
185	C₄×C₄⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
186	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
187	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
188	C₄×C₂²⋊C₄×C₄₃	C₂²	1	1	yes	characteristic, complemented
189	C₂⁴×D₄₃	C₂³	1	1	yes	characteristic
190	C₂⁴×D₄₃	C₂³	1	1	yes	characteristic
191	C₂²×Dic₈₆	C₂³	1	1	yes	characteristic
192	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
193	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
194	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
195	C₂²×D₁₇₂	C₂³	1	1	yes	characteristic
196	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
197	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
198	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
199	C₂²×C₂²⋊D₄₃	C₂³	1	1	yes	characteristic
200	C₂×D₄×D₄₃	—	2	4	no	—
201	C₂×D₄×D₄₃	—	2	4	no	—
202	C₂×D₄×D₄₃	—	2	4	no	—
203	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
204	C₂³×Dic₄₃	C₂³	1	1	yes	characteristic
205	C₂²×C₄×D₄₃	—	2	4	no	—
206	C₂²×C₄×D₄₃	—	2	4	no	—
207	C₂²×C₄×D₄₃	—	2	4	no	—
208	C₂²×C₄×D₄₃	—	2	4	no	—
209	C₂²×C₄×D₄₃	—	4	2	no	—
210	C₂²×C₄×D₄₃	—	4	2	no	—
211	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
212	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
213	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
214	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
215	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
216	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
217	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
218	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
219	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
220	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
221	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
222	C₂²×C₄×D₄₃	C₂³	1	1	yes	characteristic
223	#13063320	—	2	4	no	—
224	#13063318	—	2	4	no	—
225	#13063315	—	2	4	no	—
226	#13063311	—	2	4	no	—
227	#13063311	—	2	4	no	—
228	#13063310	—	2	4	no	—
229	#13063307	—	2	4	no	—
230	#13063303	—	2	4	no	—
231	#13063303	—	2	4	no	—
232	#13063298	—	2	4	no	—
233	#13063298	—	2	4	no	—
234	#13063295	—	2	4	no	—
235	#13063295	—	2	4	no	—
236	C₄×Dic₈₆	—	2	4	no	—
237	C₄×D₁₇₂	—	2	4	no	—
238	C₄×D₁₇₂	—	2	4	no	—
239	C₄×D₁₇₂	—	2	4	no	—
240	C₄×D₁₇₂	—	4	2	no	—
241	D₄×Dic₄₃	—	2	4	no	—
242	#13063287	—	2	4	no	—
243	#13063287	—	2	4	no	—
244	#13063287	—	2	4	no	—
245	C₄×C₂²⋊D₄₃	—	2	4	no	—
246	C₄×C₂²⋊D₄₃	—	2	4	no	—
247	C₄×C₂²⋊D₄₃	—	4	2	no	—
248	C₄×C₂²⋊D₄₃	D₄	1	8	yes	complemented
249	(C₂²⋊D₄₃)⋊C₄	—	2	4	no	—
250	(C₂²⋊D₄₃)⋊C₄	—	2	4	no	—
251	#13063284	—	4	2	no	—
252	#13063282	—	2	4	no	—
253	#13063282	—	4	2	no	—
254	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
255	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
256	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
257	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
258	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
259	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
260	C₂×C₄⋊Dic₄₃	C₂³	1	1	yes	characteristic
261	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
262	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
263	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
264	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
265	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
266	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
267	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
268	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
269	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
270	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
271	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
272	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
273	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
274	C₂×Dic₄₃⋊C₄	C₂³	1	1	yes	characteristic
275	C₄⋊C₄×D₄₃	—	2	4	no	—
276	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
277	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
278	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
279	C₂×C₂²⋊Dic₄₃	C₂³	1	1	yes	characteristic
280	C₂×C₂²⋊Dic₄₃	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×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
285	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
286	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
287	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
288	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
289	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
290	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
291	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
292	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
293	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
294	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
295	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
296	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
297	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
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	1	yes	characteristic
301	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
302	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
303	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
304	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
305	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
306	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
307	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
308	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
309	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
310	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
311	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
312	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
313	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
314	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
315	C₂×(C₂×D₄₃)⋊C₄	C₂³	1	1	yes	characteristic
316	C₂²⋊C₄×D₄₃	—	2	4	no	—
317	C₂²⋊C₄×D₄₃	—	2	4	no	—
318	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
319	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
320	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
321	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
322	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
323	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
324	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
325	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
326	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
327	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
328	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
329	C₂×C₄×Dic₄₃	C₂³	1	1	yes	characteristic
330	C₄²×D₄₃	—	2	4	no	—
331	C₄²×D₄₃	—	2	4	no	—
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	C₄₃⋊#95	C₂³	1	1	yes	characteristic
339	C₄₃⋊#95	C₂³	1	1	yes	characteristic
340	C₄₃⋊#95	C₂³	1	1	yes	characteristic
341	C₄₃⋊#95	C₂³	1	1	yes	characteristic
342	C₄₃⋊#95	C₂³	1	1	yes	characteristic
343	C₄₃⋊#95	C₂³	1	1	yes	characteristic
344	C₄₃⋊#95	C₂³	1	1	yes	characteristic
345	C₄₃⋊#95	C₂³	1	1	yes	characteristic
346	C₄₃⋊#95	C₂³	1	1	yes	characteristic
347	C₄₃⋊#95	C₂³	1	1	yes	characteristic
348	C₄₃⋊#95	C₂³	1	1	yes	characteristic
349	C₄₃⋊#95	C₂³	1	1	yes	characteristic
350	C₄₃⋊#95	C₂³	1	1	yes	characteristic
351	C₄₃⋊#95	C₂³	1	1	yes	characteristic
352	C₄₃⋊#95	C₂³	1	1	yes	characteristic
353	C₄₃⋊#95	C₂³	1	1	yes	characteristic
354	C₂²×D₄×C₄₃	C₂³	1	1	yes	characteristic
355	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
356	C₂³×C₄×C₄₃	C₂³	1	1	yes	characteristic
357	C₄×D₄×C₄₃	—	2	4	no	—
358	#117×C₄₃	—	2	4	no	—
359	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
360	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
361	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
362	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
363	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
364	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
365	C₂×C₄⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
366	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
367	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
368	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
369	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
370	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
371	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
372	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
373	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
374	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
375	C₂×C₂²⋊C₄×C₄₃	C₂³	1	1	yes	characteristic
376	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
377	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
378	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
379	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
380	C₂×C₄²×C₄₃	C₂³	1	1	yes	characteristic
381	#95×C₄₃	C₂³	1	1	yes	characteristic
382	#95×C₄₃	C₂³	1	1	yes	characteristic
383	#95×C₄₃	C₂³	1	1	yes	characteristic
384	#95×C₄₃	C₂³	1	1	yes	characteristic
385	#95×C₄₃	C₂³	1	1	yes	characteristic
386	#95×C₄₃	C₂³	1	1	yes	characteristic
387	#95×C₄₃	C₂³	1	1	yes	characteristic
388	#95×C₄₃	C₂³	1	1	yes	characteristic
389	#95×C₄₃	C₂³	1	1	yes	characteristic
390	#95×C₄₃	C₂³	1	1	yes	characteristic
391	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
392	C₂⁴×C₄₃	C₂⁴	1	1	yes	characteristic
393	C₂³×D₄₃	—	2	2	no	—
394	C₂³×D₄₃	—	2	2	no	—
395	C₂³×D₄₃	—	2	2	no	—
396	C₂³×D₄₃	—	2	2	no	—
397	C₂³×D₄₃	—	2	2	no	—
398	C₂³×D₄₃	—	2	2	no	—
399	C₂³×D₄₃	—	2	2	no	—
400	C₂³×D₄₃	—	2	2	no	—
401	C₂³×D₄₃	—	2	2	no	—
402	C₂³×D₄₃	—	2	2	no	—
403	C₂³×D₄₃	—	4	1	no	—
404	C₂³×D₄₃	—	4	1	no	—
405	C₂³×D₄₃	—	4	1	no	—
406	C₂³×D₄₃	—	4	1	no	—
407	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
408	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
409	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
410	C₂³×D₄₃	C₂⁴	1	1	yes	characteristic
411	C₂×D₄×C₄₃	—	2	2	no	—
412	C₂×D₄×C₄₃	—	2	2	no	—
413	C₂×D₄×C₄₃	—	2	2	no	—
414	C₂²×C₄×C₄₃	—	2	2	no	—
415	C₂²×C₄×C₄₃	—	2	2	no	—
416	C₂²×C₄×C₄₃	—	2	2	no	—
417	C₂²×C₄×C₄₃	—	2	2	no	—
418	C₂²×C₄×C₄₃	—	2	2	no	—
419	C₂²×C₄×C₄₃	C₂×D₄	1	4	yes	—
420	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
421	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
422	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
423	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
424	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
425	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
426	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
427	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
428	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
429	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
430	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
431	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
432	C₂²×C₄×C₄₃	C₂⁴	1	1	yes	characteristic
433	C₂×C₂²⋊D₄₃	—	2	2	no	—
434	C₂×C₂²⋊D₄₃	—	2	2	no	—
435	C₂×C₂²⋊D₄₃	—	2	2	no	—
436	C₂×C₂²⋊D₄₃	—	2	2	no	—
437	C₂×C₂²⋊D₄₃	—	2	2	no	—
438	C₂×C₂²⋊D₄₃	—	2	2	no	—
439	C₂×C₂²⋊D₄₃	—	2	2	no	—
440	C₂×C₂²⋊D₄₃	—	2	2	no	—
441	C₂×C₂²⋊D₄₃	—	4	1	no	—
442	C₂×C₂²⋊D₄₃	—	4	1	no	—
443	C₂×C₂²⋊D₄₃	C₂×D₄	1	4	yes	—
444	C₂×C₂²⋊D₄₃	#41	1	4	yes	—
445	C₂²×Dic₄₃	—	2	2	no	—
446	C₂²×Dic₄₃	—	2	2	no	—
447	C₂²×Dic₄₃	—	2	2	no	—
448	C₂²×Dic₄₃	—	2	2	no	—
449	C₂²×Dic₄₃	—	4	1	no	—
450	C₂²×Dic₄₃	—	4	1	no	—
451	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
452	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
453	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
454	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
455	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
456	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
457	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
458	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
459	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
460	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
461	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
462	C₂²×Dic₄₃	C₂⁴	1	1	yes	characteristic
463	D₄×D₄₃	—	2	32	no	—
464	C₂×D₁₇₂	—	2	2	no	—
465	C₂×D₁₇₂	—	2	2	no	—
466	C₂×D₁₇₂	—	2	2	no	—
467	C₂×D₁₇₂	—	2	2	no	—
468	C₂×D₁₇₂	—	2	2	no	—
469	C₂×D₁₇₂	—	2	2	no	—
470	C₂×D₁₇₂	—	2	2	no	—
471	C₂×D₁₇₂	—	2	2	no	—
472	C₂×D₁₇₂	—	2	2	no	—
473	C₂×D₁₇₂	—	4	1	no	—
474	C₂×D₁₇₂	—	4	1	no	—
475	C₂×D₁₇₂	#41	1	4	yes	—
476	C₂×C₄×D₄₃	—	2	2	no	—
477	C₂×C₄×D₄₃	—	2	2	no	—
478	C₂×C₄×D₄₃	—	2	2	no	—
479	C₂×C₄×D₄₃	—	2	2	no	—
480	C₂×C₄×D₄₃	—	2	2	no	—
481	C₂×C₄×D₄₃	—	2	2	no	—
482	C₂×C₄×D₄₃	—	2	2	no	—
483	C₂×C₄×D₄₃	—	2	2	no	—
484	C₂×C₄×D₄₃	—	2	2	no	—
485	C₂×C₄×D₄₃	—	2	2	no	—
486	C₂×C₄×D₄₃	—	2	2	no	—
487	C₂×C₄×D₄₃	—	2	2	no	—
488	C₂×C₄×D₄₃	—	2	2	no	—
489	C₂×C₄×D₄₃	—	2	2	no	—
490	C₂×C₄×D₄₃	—	2	2	no	—
491	C₂×C₄×D₄₃	—	2	2	no	—
492	C₂×C₄×D₄₃	—	2	2	no	—
493	C₂×C₄×D₄₃	—	2	2	no	—
494	C₂×C₄×D₄₃	—	2	2	no	—
495	C₂×C₄×D₄₃	—	2	2	no	—
496	C₂×C₄×D₄₃	—	2	2	no	—
497	C₂×C₄×D₄₃	—	2	2	no	—
498	C₂×C₄×D₄₃	—	2	2	no	—
499	C₂×C₄×D₄₃	—	2	2	no	—
500	C₂×C₄×D₄₃	—	2	2	no	—
501	C₂×C₄×D₄₃	—	2	2	no	—
502	C₂×C₄×D₄₃	—	2	2	no	—
503	C₂×C₄×D₄₃	—	4	1	no	—
504	C₂×C₄×D₄₃	—	4	1	no	—
505	C₂×C₄×D₄₃	—	4	1	no	—
506	C₂×C₄×D₄₃	—	4	1	no	—
507	C₂×C₄×D₄₃	—	4	1	no	—
508	C₂×C₄×D₄₃	—	4	1	no	—
509	C₂×C₄×D₄₃	—	4	16	no	—
510	C₂×C₄×D₄₃	—	4	16	no	—
511	C₂×C₄×D₄₃	C₂×D₄	1	4	yes	—
512	C₂×C₄×D₄₃	#41	1	4	yes	—
513	C₂×C₄×D₄₃	#41	1	4	yes	—
514	C₂×Dic₈₆	—	2	2	no	—
515	C₂×Dic₈₆	—	2	2	no	—
516	C₂×Dic₈₆	—	2	2	no	—
517	C₄⋊C₄×C₄₃	—	2	2	no	—
518	C₄⋊C₄×C₄₃	—	2	2	no	—
519	C₄⋊C₄×C₄₃	—	2	2	no	—
520	C₄⋊C₄×C₄₃	—	2	2	no	—
521	C₄⋊C₄×C₄₃	—	2	2	no	—
522	C₄⋊C₄×C₄₃	—	2	2	no	—
523	C₄⋊C₄×C₄₃	—	4	1	no	—
524	C₂²⋊C₄×C₄₃	—	2	2	no	—
525	C₂²⋊C₄×C₄₃	—	2	2	no	—
526	C₂²⋊C₄×C₄₃	—	2	2	no	—
527	C₂²⋊C₄×C₄₃	—	2	2	no	—
528	C₂²⋊C₄×C₄₃	—	2	2	no	—
529	C₂²⋊C₄×C₄₃	—	2	2	no	—
530	C₂²⋊C₄×C₄₃	—	2	2	no	—
531	C₂²⋊C₄×C₄₃	—	2	2	no	—
532	C₂²⋊C₄×C₄₃	—	4	1	no	—
533	C₂²⋊C₄×C₄₃	—	4	1	no	—
534	C₄²×C₄₃	—	2	2	no	—
535	C₄²×C₄₃	—	2	2	no	—
536	C₄²×C₄₃	—	2	2	no	—
537	C₄²×C₄₃	—	2	2	no	—
538	C₄²×C₄₃	—	2	2	no	—
539	C₂²⋊Dic₄₃	—	2	2	no	—
540	C₂²⋊Dic₄₃	—	2	2	no	—
541	C₂²⋊Dic₄₃	—	2	2	no	—
542	C₂²⋊Dic₄₃	—	4	1	no	—
543	C₂²⋊Dic₄₃	—	4	1	no	—
544	C₂²⋊Dic₄₃	—	4	1	no	—
545	C₂²⋊Dic₄₃	—	4	1	no	—
546	C₂²⋊Dic₄₃	C₂×D₄	1	4	yes	—
547	(C₂×D₄₃)⋊C₄	—	2	2	no	—
548	(C₂×D₄₃)⋊C₄	—	2	2	no	—
549	(C₂×D₄₃)⋊C₄	—	2	2	no	—
550	(C₂×D₄₃)⋊C₄	—	2	2	no	—
551	(C₂×D₄₃)⋊C₄	—	2	2	no	—
552	(C₂×D₄₃)⋊C₄	—	2	2	no	—
553	(C₂×D₄₃)⋊C₄	—	2	2	no	—
554	(C₂×D₄₃)⋊C₄	—	2	2	no	—
555	(C₂×D₄₃)⋊C₄	—	2	2	no	—
556	(C₂×D₄₃)⋊C₄	—	2	2	no	—
557	(C₂×D₄₃)⋊C₄	—	2	2	no	—
558	(C₂×D₄₃)⋊C₄	—	2	2	no	—
559	(C₂×D₄₃)⋊C₄	—	2	2	no	—
560	(C₂×D₄₃)⋊C₄	—	2	2	no	—
561	(C₂×D₄₃)⋊C₄	—	2	2	no	—
562	(C₂×D₄₃)⋊C₄	—	2	2	no	—
563	(C₂×D₄₃)⋊C₄	—	2	2	no	—
564	(C₂×D₄₃)⋊C₄	—	2	2	no	—
565	(C₂×D₄₃)⋊C₄	—	2	2	no	—
566	(C₂×D₄₃)⋊C₄	—	2	2	no	—
567	(C₂×D₄₃)⋊C₄	—	2	2	no	—
568	(C₂×D₄₃)⋊C₄	—	2	2	no	—
569	(C₂×D₄₃)⋊C₄	—	2	2	no	—
570	(C₂×D₄₃)⋊C₄	—	4	1	no	—
571	(C₂×D₄₃)⋊C₄	—	4	1	no	—
572	(C₂×D₄₃)⋊C₄	—	4	1	no	—
573	(C₂×D₄₃)⋊C₄	—	4	1	no	—
574	(C₂×D₄₃)⋊C₄	—	4	1	no	—
575	(C₂×D₄₃)⋊C₄	—	4	1	no	—
576	(C₂×D₄₃)⋊C₄	—	4	1	no	—
577	(C₂×D₄₃)⋊C₄	—	4	1	no	—
578	(C₂×D₄₃)⋊C₄	C₂×D₄	1	4	yes	—
579	C₄⋊Dic₄₃	—	2	2	no	—
580	C₄⋊Dic₄₃	—	2	2	no	—
581	C₄⋊Dic₄₃	—	2	2	no	—
582	C₄⋊Dic₄₃	—	2	2	no	—
583	C₄⋊Dic₄₃	—	4	1	no	—
584	C₄⋊Dic₄₃	—	4	1	no	—
585	C₄⋊Dic₄₃	—	4	1	no	—
586	Dic₄₃⋊C₄	—	2	2	no	—
587	Dic₄₃⋊C₄	—	2	2	no	—
588	Dic₄₃⋊C₄	—	2	2	no	—
589	Dic₄₃⋊C₄	—	2	2	no	—
590	Dic₄₃⋊C₄	—	2	2	no	—
591	Dic₄₃⋊C₄	—	2	2	no	—
592	Dic₄₃⋊C₄	—	2	2	no	—
593	Dic₄₃⋊C₄	—	2	2	no	—
594	Dic₄₃⋊C₄	—	2	2	no	—
595	Dic₄₃⋊C₄	—	4	1	no	—
596	Dic₄₃⋊C₄	—	4	1	no	—
597	Dic₄₃⋊C₄	—	4	1	no	—
598	Dic₄₃⋊C₄	—	4	1	no	—
599	Dic₄₃⋊C₄	C₂×D₄	1	4	yes	—
600	C₄×Dic₄₃	—	2	2	no	—
601	C₄×Dic₄₃	—	2	2	no	—
602	C₄×Dic₄₃	—	2	2	no	—
603	C₄×Dic₄₃	—	2	2	no	—
604	C₄×Dic₄₃	—	2	2	no	—
605	C₄×Dic₄₃	—	2	2	no	—
606	C₄×Dic₄₃	—	2	2	no	—
607	C₄×Dic₄₃	—	2	2	no	—
608	C₄×Dic₄₃	—	2	2	no	—
609	C₄×Dic₄₃	—	2	2	no	—
610	C₄×Dic₄₃	—	4	1	no	—
611	C₄×Dic₄₃	C₂×D₄	1	4	yes	—
612	C₂³×C₄₃	—	2	1	no	—
613	C₂³×C₄₃	—	2	1	no	—
614	C₂³×C₄₃	—	2	1	no	—
615	C₂³×C₄₃	—	2	1	no	—
616	C₂³×C₄₃	—	2	1	no	—
617	C₂³×C₄₃	—	2	1	no	—
618	C₂³×C₄₃	—	2	1	no	—
619	C₂³×C₄₃	—	2	1	no	—
620	C₂³×C₄₃	—	2	1	no	—
621	C₂³×C₄₃	—	2	1	no	—
622	C₂³×C₄₃	—	2	1	no	—
623	C₂³×C₄₃	—	2	1	no	—
624	C₂³×C₄₃	C₂²×D₄	1	2	yes	—
625	C₂³×C₄₃	C₂×#41	1	2	yes	—
626	C₂³×C₄₃	C₂⁵	1	1	yes	characteristic
627	C₂²×D₄₃	—	2	1	no	—
628	C₂²×D₄₃	—	2	1	no	—
629	C₂²×D₄₃	—	2	1	no	—
630	C₂²×D₄₃	—	2	1	no	—
631	C₂²×D₄₃	—	2	8	no	—
632	C₂²×D₄₃	—	2	8	no	—
633	C₂²×D₄₃	—	2	1	no	—
634	C₂²×D₄₃	—	2	1	no	—
635	C₂²×D₄₃	—	2	1	no	—
636	C₂²×D₄₃	—	2	1	no	—
637	C₂²×D₄₃	—	2	1	no	—
638	C₂²×D₄₃	—	2	1	no	—
639	C₂²×D₄₃	—	2	1	no	—
640	C₂²×D₄₃	—	2	1	no	—
641	C₂²×D₄₃	—	2	1	no	—
642	C₂²×D₄₃	—	2	1	no	—
643	C₂²×D₄₃	—	2	1	no	—
644	C₂²×D₄₃	—	2	1	no	—
645	C₂²×D₄₃	—	2	1	no	—
646	C₂²×D₄₃	—	2	1	no	—
647	C₂²×D₄₃	—	2	1	no	—
648	C₂²×D₄₃	—	2	1	no	—
649	C₂²×D₄₃	—	2	1	no	—
650	C₂²×D₄₃	—	2	1	no	—
651	C₂²×D₄₃	—	4	4	no	—
652	C₂²×D₄₃	—	4	4	no	—
653	C₂²×D₄₃	—	4	4	no	—
654	C₂²×D₄₃	—	4	4	no	—
655	C₂²×D₄₃	—	4	4	no	—
656	C₂²×D₄₃	—	4	4	no	—
657	C₂²×D₄₃	—	4	4	no	—
658	C₂²×D₄₃	—	4	4	no	—
659	C₂²×D₄₃	—	4	4	no	—
660	C₂²×D₄₃	—	4	4	no	—
661	C₂²×D₄₃	—	4	4	no	—
662	C₂²×D₄₃	—	4	4	no	—
663	C₂²×D₄₃	C₂²×D₄	1	2	yes	—
664	C₂²×D₄₃	C₂×#41	1	2	yes	—
665	C₂²×D₄₃	C₂×#41	1	2	yes	—
666	C₂²×D₄₃	C₂×#41	1	2	yes	—
667	C₂²×D₄₃	C₂×#41	1	2	yes	—
668	C₂²×D₄₃	C₂×#41	1	2	yes	—
669	D₄×C₄₃	—	2	8	no	—
670	C₂×C₄×C₄₃	—	2	1	no	—
671	C₂×C₄×C₄₃	—	2	1	no	—
672	C₂×C₄×C₄₃	—	2	1	no	—
673	C₂×C₄×C₄₃	—	2	1	no	—
674	C₂×C₄×C₄₃	—	2	1	no	—
675	C₂×C₄×C₄₃	—	2	1	no	—
676	C₂×C₄×C₄₃	—	2	8	no	—
677	C₂×C₄×C₄₃	—	2	1	no	—
678	C₂×C₄×C₄₃	—	2	1	no	—
679	C₂×C₄×C₄₃	—	2	1	no	—
680	C₂×C₄×C₄₃	—	2	1	no	—
681	C₂×C₄×C₄₃	—	2	1	no	—
682	C₂×C₄×C₄₃	—	2	1	no	—
683	C₂×C₄×C₄₃	—	2	1	no	—
684	C₂×C₄×C₄₃	—	2	1	no	—
685	C₂×C₄×C₄₃	—	2	1	no	—
686	C₂×C₄×C₄₃	—	2	1	no	—
687	C₂×C₄×C₄₃	—	2	1	no	—
688	C₂×C₄×C₄₃	—	2	1	no	—
689	C₂×C₄×C₄₃	—	2	1	no	—
690	C₂×C₄×C₄₃	—	2	1	no	—
691	C₂×C₄×C₄₃	—	2	1	no	—
692	C₂×C₄×C₄₃	—	2	1	no	—
693	C₂×C₄×C₄₃	—	2	1	no	—
694	C₂×C₄×C₄₃	—	2	1	no	—
695	C₂×C₄×C₄₃	—	2	1	no	—
696	C₂×C₄×C₄₃	—	2	1	no	—
697	C₂×C₄×C₄₃	—	2	1	no	—
698	C₂×C₄×C₄₃	—	2	1	no	—
699	C₂×C₄×C₄₃	—	2	1	no	—
700	C₂×C₄×C₄₃	—	2	1	no	—
701	C₂×C₄×C₄₃	—	2	1	no	—
702	C₂×C₄×C₄₃	—	2	1	no	—
703	C₂×C₄×C₄₃	—	2	1	no	—
704	C₂×C₄×C₄₃	—	4	4	no	—
705	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
706	C₂×C₄×C₄₃	C₂²×D₄	1	2	yes	—
707	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
708	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
709	C₂×C₄×C₄₃	C₂×#41	1	2	yes	—
710	C₂×C₄×C₄₃	H(5,𝔽₂)	1	2	yes	—
711	C₂²⋊D₄₃	—	2	8	no	—
712	C₂²⋊D₄₃	—	2	8	no	—
713	C₂²⋊D₄₃	—	4	4	no	—
714	C₂²⋊D₄₃	—	4	4	no	—
715	C₂×Dic₄₃	—	2	1	no	—
716	C₂×Dic₄₃	—	2	1	no	—
717	C₂×Dic₄₃	—	2	1	no	—
718	C₂×Dic₄₃	—	2	1	no	—
719	C₂×Dic₄₃	—	2	1	no	—
720	C₂×Dic₄₃	—	2	1	no	—
721	C₂×Dic₄₃	—	2	1	no	—
722	C₂×Dic₄₃	—	2	1	no	—
723	C₂×Dic₄₃	—	2	1	no	—
724	C₂×Dic₄₃	—	2	1	no	—
725	C₂×Dic₄₃	—	2	1	no	—
726	C₂×Dic₄₃	—	2	1	no	—
727	C₂×Dic₄₃	—	2	1	no	—
728	C₂×Dic₄₃	—	2	1	no	—
729	C₂×Dic₄₃	—	2	1	no	—
730	C₂×Dic₄₃	—	2	1	no	—
731	C₂×Dic₄₃	—	2	1	no	—
732	C₂×Dic₄₃	—	2	1	no	—
733	C₂×Dic₄₃	—	2	1	no	—
734	C₂×Dic₄₃	—	2	1	no	—
735	C₂×Dic₄₃	—	2	1	no	—
736	C₂×Dic₄₃	—	2	1	no	—
737	C₂×Dic₄₃	—	2	1	no	—
738	C₂×Dic₄₃	—	2	1	no	—
739	C₂×Dic₄₃	—	2	1	no	—
740	C₂×Dic₄₃	—	2	1	no	—
741	C₂×Dic₄₃	—	2	1	no	—
742	C₂×Dic₄₃	—	2	1	no	—
743	C₂×Dic₄₃	—	2	1	no	—
744	C₂×Dic₄₃	—	2	1	no	—
745	C₂×Dic₄₃	—	4	4	no	—
746	C₂×Dic₄₃	—	4	4	no	—
747	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
748	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
749	C₂×Dic₄₃	C₂²×D₄	1	2	yes	—
750	C₂×Dic₄₃	C₂×#41	1	2	yes	—
751	C₂×Dic₄₃	C₂×#41	1	2	yes	—
752	C₂×Dic₄₃	C₂×#41	1	2	yes	—
753	D₁₇₂	—	2	8	no	—
754	D₁₇₂	—	2	8	no	—
755	D₁₇₂	—	4	4	no	—
756	D₁₇₂	—	4	4	no	—
757	C₄×D₄₃	—	2	8	no	—
758	C₄×D₄₃	—	2	8	no	—
759	C₄×D₄₃	—	2	8	no	—
760	C₄×D₄₃	—	4	4	no	—
761	C₄×D₄₃	—	4	4	no	—
762	C₄×D₄₃	—	4	4	no	—
763	C₄×D₄₃	—	4	4	no	—
764	C₄×D₄₃	—	4	4	no	—
765	C₄×D₄₃	—	4	4	no	—
766	C₄×D₄₃	—	4	4	no	—
767	C₄×D₄₃	—	4	4	no	—
768	C₄×D₄₃	—	4	4	no	—
769	Dic₈₆	—	4	4	no	—
770	#34700	—	43	1	no	maximal, Sylow
771	C₂²×C₄₃	—	2	2	no	—
772	C₂²×C₄₃	—	2	2	no	—
773	C₂²×C₄₃	—	2	2	no	—
774	C₂²×C₄₃	—	2	2	no	—
775	C₂²×C₄₃	—	2	2	no	—
776	C₂²×C₄₃	—	2	2	no	—
777	C₂²×C₄₃	—	4	1	no	—
778	C₂²×C₄₃	—	4	1	no	—
779	C₂²×C₄₃	—	4	1	no	—
780	C₂²×C₄₃	—	4	1	no	—
781	C₂²×C₄₃	—	4	1	no	—
782	C₂²×C₄₃	—	4	1	no	—
783	C₂²×C₄₃	—	4	1	no	—
784	C₂²×C₄₃	—	4	1	no	—
785	C₂²×C₄₃	C₂³×D₄	1	1	yes	characteristic
786	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
787	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
788	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
789	C₂²×C₄₃	C₂²×#41	1	1	yes	characteristic
790	C₂²×C₄₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
791	C₂²×C₄₃	#585	1	1	yes	characteristic
792	C₂×D₄₃	—	2	2	no	—
793	C₂×D₄₃	—	2	2	no	—
794	C₂×D₄₃	—	2	2	no	—
795	C₂×D₄₃	—	2	2	no	—
796	C₂×D₄₃	—	2	2	no	—
797	C₂×D₄₃	—	2	2	no	—
798	C₂×D₄₃	—	2	2	no	—
799	C₂×D₄₃	—	2	2	no	—
800	C₂×D₄₃	—	2	2	no	—
801	C₂×D₄₃	—	2	2	no	—
802	C₂×D₄₃	—	2	2	no	—
803	C₂×D₄₃	—	2	2	no	—
804	C₂×D₄₃	—	2	2	no	—
805	C₂×D₄₃	—	2	2	no	—
806	C₂×D₄₃	—	2	2	no	—
807	C₂×D₄₃	—	4	16	no	—
808	C₂×D₄₃	—	4	16	no	—
809	C₂×D₄₃	—	4	1	no	—
810	C₂×D₄₃	—	4	1	no	—
811	C₂×D₄₃	—	4	1	no	—
812	C₂×D₄₃	—	4	1	no	—
813	C₂×D₄₃	—	4	1	no	—
814	C₂×D₄₃	—	4	1	no	—
815	C₂×D₄₃	—	4	1	no	—
816	C₂×D₄₃	—	4	1	no	—
817	C₂×D₄₃	—	4	1	no	—
818	C₂×D₄₃	—	4	1	no	—
819	C₂×D₄₃	—	4	1	no	—
820	C₂×D₄₃	—	4	1	no	—
821	C₂×D₄₃	#529	1	4	yes	complemented
822	C₄×C₄₃	—	2	2	no	—
823	C₄×C₄₃	—	2	2	no	—
824	C₄×C₄₃	—	2	2	no	—
825	C₄×C₄₃	—	4	1	no	—
826	C₄×C₄₃	—	4	1	no	—
827	C₄×C₄₃	—	4	1	no	—
828	C₄×C₄₃	—	4	1	no	—
829	C₄×C₄₃	—	4	1	no	—
830	C₄×C₄₃	—	4	1	no	—
831	C₄×C₄₃	—	4	1	no	—
832	C₄×C₄₃	—	4	1	no	—
833	C₄×C₄₃	—	4	1	no	—
834	C₄×C₄₃	#546	1	4	yes	—
835	Dic₄₃	—	2	2	no	—
836	Dic₄₃	—	2	2	no	—
837	Dic₄₃	—	2	2	no	—
838	Dic₄₃	—	4	1	no	—
839	Dic₄₃	—	4	1	no	—
840	Dic₄₃	—	4	1	no	—
841	Dic₄₃	—	4	1	no	—
842	Dic₄₃	—	4	1	no	—
843	Dic₄₃	—	4	1	no	—
844	Dic₄₃	—	4	1	no	—
845	Dic₄₃	—	4	1	no	—
846	Dic₄₃	#525	1	4	yes	—
847	C₂×#529	—	43	1	no	—
848	C₂²×C₄×D₄	—	43	1	no	—
849	#2480	—	43	1	no	—
850	#2480	—	43	1	no	—
851	#2468	—	43	1	no	—
852	#2468	—	43	1	no	—
853	#2457	—	43	1	no	—
854	#2457	—	43	1	no	—
855	#2454	—	43	1	no	—
856	#2447	—	43	1	no	—
857	#2442	—	43	1	no	—
858	#2435	—	43	1	no	—
859	#2427	—	43	1	no	—
860	#2420	—	43	1	no	—
861	#2418	—	43	1	no	—
862	#2418	—	43	1	no	—
863	#2417	—	43	1	no	—
864	#2408	—	43	1	no	—
865	#2395	—	43	1	no	—
866	#2395	D₄₃	1	1	yes	characteristic, complemented
867	#2392	—	43	1	no	—
868	#2392	—	43	1	no	—
869	C₄×#124	—	43	1	no	—
870	C₄×C₂²⋊Q₈	—	43	1	no	—
871	C₄×#121	—	43	1	no	—
872	C₄×#120	—	43	1	no	—
873	C₄×#120	—	43	1	no	—
874	#2293	—	43	1	no	—
875	#2280	—	43	1	no	—
876	#2280	—	43	1	no	—
877	C₄²×D₄	—	43	1	no	—
878	C₂×C₄₃	—	4	2	no	—
879	C₂×C₄₃	—	4	2	no	—
880	C₂×C₄₃	C₂×#525	1	1	yes	characteristic
881	C₂×C₄₃	C₂×#529	1	1	yes	characteristic
882	C₂×C₄₃	#3460	1	1	yes	characteristic
883	C₂×C₄₃	C₂×#546	1	1	yes	characteristic
884	C₂×C₄₃	D₄×#41	1	1	yes	characteristic
885	C₂×C₄₃	#3475	1	1	yes	characteristic
886	C₂×C₄₃	#3481	1	1	yes	characteristic
887	D₄₃	—	2	4	no	—
888	D₄₃	—	4	2	no	—
889	D₄₃	—	4	2	no	—
890	D₄₃	—	4	2	no	—
891	C₂³×D₄	—	43	1	no	—
892	C₂⁴×C₄	—	43	1	no	—
893	C₂⁴×C₄	—	43	1	no	—
894	#529	—	86	8	no	—
895	C₂×#126	—	43	1	no	—
896	C₂×#126	—	43	1	no	—
897	C₂×#125	—	43	1	no	—
898	C₂×#124	—	43	1	no	—
899	C₂×#124	—	43	1	no	—
900	C₂×#123	—	43	1	no	—
901	C₂×#123	—	43	1	no	—
902	C₂×C₂²⋊Q₈	—	43	1	no	—
903	C₂×C₂²⋊Q₈	—	43	1	no	—
904	C₂×#121	—	43	1	no	—
905	C₂×#121	—	43	1	no	—
906	C₂×#120	—	43	1	no	—
907	C₂×#120	—	43	1	no	—
908	C₂×C₄×Q₈	—	43	1	no	—
909	C₂×C₄×D₄	—	43	1	no	—
910	C₂×C₄×D₄	—	43	1	no	—
911	C₂×C₄×D₄	—	43	1	no	—
912	C₂×C₄×D₄	—	43	1	no	—
913	C₂×C₄×D₄	—	43	1	no	—
914	C₂×C₄×D₄	—	43	1	no	—
915	C₂×C₄×D₄	—	43	1	no	—
916	C₂×C₄×D₄	—	43	1	no	—
917	C₂×C₄×D₄	—	43	1	no	—
918	C₂×C₄×D₄	—	43	1	no	—
919	C₂×C₄×D₄	—	43	1	no	—
920	C₂×C₄×D₄	—	43	1	no	—
921	C₂×C₄×D₄	—	43	1	no	—
922	C₂×C₄×D₄	—	43	1	no	—
923	C₂×C₄×D₄	—	86	8	no	—
924	C₂×C₄×D₄	C₂×D₄₃	1	1	yes	characteristic
925	C₂×#117	—	43	1	no	—
926	C₂×#117	—	43	1	no	—
927	C₂×#117	—	43	1	no	—
928	C₂×#117	C₂×D₄₃	1	1	yes	characteristic, complemented
929	C₂²×C₄⋊C₄	—	43	1	no	—
930	C₂²×C₂²⋊C₄	—	43	1	no	—
931	C₂²×C₂²⋊C₄	—	43	1	no	—
932	C₂²×C₄²	—	43	1	no	—
933	C₂²×C₄²	—	43	1	no	—
934	#400	—	43	1	no	—
935	#400	C₂×D₄₃	1	1	yes	characteristic, complemented
936	#399	—	43	1	no	—
937	#399	C₂×D₄₃	1	1	yes	characteristic, complemented
938	#398	—	43	1	no	—
939	#398	—	43	1	no	—
940	#398	—	43	1	no	—
941	#398	C₂×D₄₃	1	1	yes	characteristic, complemented
942	#397	—	43	1	no	—
943	#397	—	43	1	no	—
944	#397	—	43	1	no	—
945	#397	—	43	1	no	—
946	#397	—	43	1	no	—
947	#397	C₂×D₄₃	1	1	yes	characteristic, complemented
948	#397	C₂×D₄₃	1	1	yes	characteristic, complemented
949	#397	C₂×D₄₃	1	1	yes	characteristic, complemented
950	#396	—	43	1	no	—
951	#396	—	43	1	no	—
952	#396	—	43	1	no	—
953	#396	—	43	1	no	—
954	#394	—	43	1	no	—
955	#394	—	43	1	no	—
956	#394	—	43	1	no	—
957	#394	—	43	1	no	—
958	#394	—	43	1	no	—
959	#394	—	43	1	no	—
960	#394	—	43	1	no	—
961	#394	—	43	1	no	—
962	#394	C₂×D₄₃	1	1	yes	characteristic
963	#394	C₂×D₄₃	1	1	yes	characteristic
964	#392	—	43	1	no	—
965	#392	—	43	1	no	—
966	#391	—	43	1	no	—
967	#391	—	43	1	no	—
968	#390	—	43	1	no	—
969	#390	—	43	1	no	—
970	#390	—	43	1	no	—
971	#390	—	43	1	no	—
972	#389	—	43	1	no	—
973	#389	—	43	1	no	—
974	#389	—	43	1	no	—
975	#389	—	43	1	no	—
976	#388	—	43	1	no	—
977	#388	—	43	1	no	—
978	#388	—	43	1	no	—
979	#388	—	43	1	no	—
980	#388	—	43	1	no	—
981	#388	—	43	1	no	—
982	#388	—	43	1	no	—
983	#388	—	43	1	no	—
984	#388	—	43	1	no	—
985	#388	—	43	1	no	—
986	#387	—	43	1	no	—
987	#387	—	43	1	no	—
988	#386	—	43	1	no	—
989	#386	—	43	1	no	—
990	#386	—	43	1	no	—
991	#386	—	43	1	no	—
992	#386	—	43	1	no	—
993	#386	—	43	1	no	—
994	#386	—	43	1	no	—
995	#386	—	43	1	no	—
996	#385	—	43	1	no	—
997	#385	—	43	1	no	—
998	#385	—	43	1	no	—
999	#385	—	43	1	no	—
1000	#385	—	43	1	no	—
1001	#385	—	43	1	no	—
1002	#385	—	43	1	no	—
1003	#385	—	43	1	no	—
1004	#382	—	43	1	no	—
1005	#381	—	43	1	no	—
1006	#381	—	43	1	no	—
1007	#381	—	43	1	no	—
1008	#381	—	43	1	no	—
1009	#380	—	43	1	no	—
1010	#380	—	43	1	no	—
1011	#380	—	43	1	no	—
1012	#380	—	43	1	no	—
1013	#380	—	43	1	no	—
1014	#380	—	43	1	no	—
1015	#380	—	43	1	no	—
1016	#380	—	43	1	no	—
1017	#380	—	43	1	no	—
1018	#380	—	43	1	no	—
1019	#379	—	43	1	no	—
1020	#379	—	43	1	no	—
1021	#379	—	43	1	no	—
1022	#379	—	43	1	no	—
1023	#379	—	43	1	no	—
1024	#379	—	43	1	no	—
1025	C₄×C₄⋊C₄	—	43	1	no	—
1026	C₄×C₄⋊C₄	—	43	1	no	—
1027	C₄×C₄⋊C₄	—	43	1	no	—
1028	C₄×C₄⋊C₄	—	43	1	no	—
1029	C₄×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
1030	C₄×C₄⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
1031	C₄×C₂²⋊C₄	—	43	1	no	—
1032	C₄×C₂²⋊C₄	—	43	1	no	—
1033	C₄×C₂²⋊C₄	—	43	1	no	—
1034	C₄×C₂²⋊C₄	—	43	1	no	—
1035	C₄×C₂²⋊C₄	—	43	1	no	—
1036	C₄×C₂²⋊C₄	—	43	1	no	—
1037	C₄×C₂²⋊C₄	—	43	1	no	—
1038	C₄×C₂²⋊C₄	—	43	1	no	—
1039	C₄×C₂²⋊C₄	—	43	1	no	—
1040	C₄×C₂²⋊C₄	—	43	1	no	—
1041	C₄×C₂²⋊C₄	—	43	1	no	—
1042	C₄×C₂²⋊C₄	—	43	1	no	—
1043	C₄×C₂²⋊C₄	—	43	1	no	—
1044	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
1045	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
1046	C₄×C₂²⋊C₄	C₂×D₄₃	1	1	yes	characteristic, complemented
1047	C₄³	—	43	1	no	—
1048	C₄₃	#34700	1	1	yes	characteristic, complemented, Sylow
1049	C₂⁵	—	43	1	no	—
1050	C₂⁵	—	43	1	no	—
1051	C₂²×Q₈	—	43	1	no	—
1052	C₂²×D₄	—	43	1	no	—
1053	C₂²×D₄	—	43	1	no	—
1054	C₂²×D₄	—	43	1	no	—
1055	C₂²×D₄	—	43	1	no	—
1056	C₂²×D₄	—	43	1	no	—
1057	C₂²×D₄	—	43	1	no	—
1058	C₂²×D₄	—	43	1	no	—
1059	C₂²×D₄	—	43	1	no	—
1060	C₂²×D₄	—	86	4	no	—
1061	C₂²×D₄	—	86	4	no	—
1062	C₂²×D₄	—	86	4	no	—
1063	C₂²×D₄	C₂²×D₄₃	1	1	yes	characteristic
1064	C₂³×C₄	—	43	1	no	—
1065	C₂³×C₄	—	43	1	no	—
1066	C₂³×C₄	—	43	1	no	—
1067	C₂³×C₄	—	43	1	no	—
1068	C₂³×C₄	—	43	1	no	—
1069	C₂³×C₄	—	43	1	no	—
1070	C₂³×C₄	—	43	1	no	—
1071	C₂³×C₄	—	43	1	no	—
1072	C₂³×C₄	—	43	1	no	—
1073	C₂³×C₄	—	43	1	no	—
1074	C₂³×C₄	—	43	1	no	—
1075	C₂³×C₄	—	43	1	no	—
1076	C₂³×C₄	—	43	1	no	—
1077	C₂³×C₄	—	43	1	no	—
1078	C₂³×C₄	—	86	4	no	—
1079	C₂³×C₄	—	86	4	no	—
1080	C₂³×C₄	—	86	4	no	—
1081	C₂³×C₄	—	86	4	no	—
1082	C₂³×C₄	—	172	2	no	—
1083	C₂³×C₄	—	172	2	no	—
1084	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1085	C₂³×C₄	C₂²×D₄₃	1	1	yes	characteristic
1086	#126	—	86	4	no	—
1087	#126	—	86	4	no	—
1088	#125	—	86	4	no	—
1089	#124	—	86	4	no	—
1090	#124	—	86	4	no	—
1091	#123	—	86	4	no	—
1092	#123	—	86	4	no	—
1093	C₂²⋊Q₈	—	86	4	no	—
1094	C₂²⋊Q₈	—	86	4	no	—
1095	#121	—	86	4	no	—
1096	#121	—	86	4	no	—
1097	#120	—	86	4	no	—
1098	#120	—	86	4	no	—
1099	C₄×Q₈	—	86	4	no	—
1100	C₄×D₄	—	2	4	no	—
1101	C₄×D₄	—	43	8	no	—
1102	C₄×D₄	—	86	4	no	—
1103	C₄×D₄	—	86	4	no	—
1104	C₄×D₄	—	86	4	no	—
1105	C₄×D₄	—	86	4	no	—
1106	C₄×D₄	—	86	4	no	—
1107	C₄×D₄	—	86	4	no	—
1108	C₄×D₄	—	86	4	no	—
1109	C₄×D₄	—	86	4	no	—
1110	C₄×D₄	—	86	4	no	—
1111	C₄×D₄	—	86	4	no	—
1112	C₄×D₄	—	86	4	no	—
1113	C₄×D₄	—	172	2	no	—
1114	C₄×D₄	—	172	2	no	—
1115	#117	—	2	4	no	—
1116	#117	—	86	4	no	—
1117	#117	—	172	2	no	—
1118	#117	—	172	2	no	—
1119	C₂×C₄⋊C₄	—	43	1	no	—
1120	C₂×C₄⋊C₄	—	43	1	no	—
1121	C₂×C₄⋊C₄	—	43	1	no	—
1122	C₂×C₄⋊C₄	—	43	1	no	—
1123	C₂×C₄⋊C₄	—	43	1	no	—
1124	C₂×C₄⋊C₄	—	43	1	no	—
1125	C₂×C₄⋊C₄	—	43	1	no	—
1126	C₂×C₄⋊C₄	—	43	1	no	—
1127	C₂×C₄⋊C₄	—	43	1	no	—
1128	C₂×C₄⋊C₄	—	43	1	no	—
1129	C₂×C₄⋊C₄	—	43	1	no	—
1130	C₂×C₄⋊C₄	—	43	1	no	—
1131	C₂×C₄⋊C₄	—	43	1	no	—
1132	C₂×C₄⋊C₄	—	43	1	no	—
1133	C₂×C₄⋊C₄	—	43	1	no	—
1134	C₂×C₄⋊C₄	—	43	1	no	—
1135	C₂×C₄⋊C₄	—	43	1	no	—
1136	C₂×C₄⋊C₄	—	43	1	no	—
1137	C₂×C₄⋊C₄	—	43	1	no	—
1138	C₂×C₄⋊C₄	—	43	1	no	—
1139	C₂×C₄⋊C₄	—	43	1	no	—
1140	C₂×C₄⋊C₄	—	86	4	no	—
1141	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1142	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1143	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1144	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1145	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1146	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1147	C₂×C₄⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1148	C₂×C₂²⋊C₄	—	43	1	no	—
1149	C₂×C₂²⋊C₄	—	43	1	no	—
1150	C₂×C₂²⋊C₄	—	43	1	no	—
1151	C₂×C₂²⋊C₄	—	43	1	no	—
1152	C₂×C₂²⋊C₄	—	43	1	no	—
1153	C₂×C₂²⋊C₄	—	43	1	no	—
1154	C₂×C₂²⋊C₄	—	43	1	no	—
1155	C₂×C₂²⋊C₄	—	43	1	no	—
1156	C₂×C₂²⋊C₄	—	43	1	no	—
1157	C₂×C₂²⋊C₄	—	43	1	no	—
1158	C₂×C₂²⋊C₄	—	43	1	no	—
1159	C₂×C₂²⋊C₄	—	43	1	no	—
1160	C₂×C₂²⋊C₄	—	43	1	no	—
1161	C₂×C₂²⋊C₄	—	43	1	no	—
1162	C₂×C₂²⋊C₄	—	43	1	no	—
1163	C₂×C₂²⋊C₄	—	43	1	no	—
1164	C₂×C₂²⋊C₄	—	43	1	no	—
1165	C₂×C₂²⋊C₄	—	43	1	no	—
1166	C₂×C₂²⋊C₄	—	43	1	no	—
1167	C₂×C₂²⋊C₄	—	43	1	no	—
1168	C₂×C₂²⋊C₄	—	43	1	no	—
1169	C₂×C₂²⋊C₄	—	43	1	no	—
1170	C₂×C₂²⋊C₄	—	43	1	no	—
1171	C₂×C₂²⋊C₄	—	43	1	no	—
1172	C₂×C₂²⋊C₄	—	43	1	no	—
1173	C₂×C₂²⋊C₄	—	43	1	no	—
1174	C₂×C₂²⋊C₄	—	43	1	no	—
1175	C₂×C₂²⋊C₄	—	43	1	no	—
1176	C₂×C₂²⋊C₄	—	43	1	no	—
1177	C₂×C₂²⋊C₄	—	43	1	no	—
1178	C₂×C₂²⋊C₄	—	43	1	no	—
1179	C₂×C₂²⋊C₄	—	43	1	no	—
1180	C₂×C₂²⋊C₄	—	43	1	no	—
1181	C₂×C₂²⋊C₄	—	43	1	no	—
1182	C₂×C₂²⋊C₄	—	43	1	no	—
1183	C₂×C₂²⋊C₄	—	43	1	no	—
1184	C₂×C₂²⋊C₄	—	43	1	no	—
1185	C₂×C₂²⋊C₄	—	43	1	no	—
1186	C₂×C₂²⋊C₄	—	43	1	no	—
1187	C₂×C₂²⋊C₄	—	43	1	no	—
1188	C₂×C₂²⋊C₄	—	86	4	no	—
1189	C₂×C₂²⋊C₄	—	86	4	no	—
1190	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1191	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1192	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1193	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1194	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1195	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1196	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1197	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1198	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1199	C₂×C₂²⋊C₄	C₂²×D₄₃	1	1	yes	characteristic
1200	C₂×C₄²	—	43	1	no	—
1201	C₂×C₄²	—	43	1	no	—
1202	C₂×C₄²	—	43	1	no	—
1203	C₂×C₄²	—	43	1	no	—
1204	C₂×C₄²	—	43	1	no	—
1205	C₂×C₄²	—	43	1	no	—
1206	C₂×C₄²	—	43	1	no	—
1207	C₂×C₄²	—	43	1	no	—
1208	C₂×C₄²	—	43	1	no	—
1209	C₂×C₄²	—	43	1	no	—
1210	C₂×C₄²	—	43	1	no	—
1211	C₂×C₄²	—	43	1	no	—
1212	C₂×C₄²	—	86	4	no	—
1213	C₂×C₄²	—	86	4	no	—
1214	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1215	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1216	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1217	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1218	C₂×C₄²	C₂²×D₄₃	1	1	yes	characteristic
1219	#95	—	43	1	no	—
1220	#95	—	43	1	no	—
1221	#95	—	43	1	no	—
1222	#95	—	43	1	no	—
1223	#95	—	43	1	no	—
1224	#95	—	43	1	no	—
1225	#95	—	43	1	no	—
1226	#95	—	43	1	no	—
1227	#95	—	43	1	no	—
1228	#95	—	43	1	no	—
1229	#95	—	43	1	no	—
1230	#95	—	43	1	no	—
1231	#95	—	43	1	no	—
1232	#95	—	43	1	no	—
1233	#95	—	43	1	no	—
1234	#95	—	43	1	no	—
1235	#95	—	43	1	no	—
1236	#95	—	43	1	no	—
1237	#95	—	43	1	no	—
1238	#95	—	43	1	no	—
1239	#95	—	43	1	no	—
1240	#95	—	43	1	no	—
1241	#95	C₂²×D₄₃	1	1	yes	characteristic
1242	#95	C₂²×D₄₃	1	1	yes	characteristic
1243	#95	C₂²×D₄₃	1	1	yes	characteristic
1244	#95	C₂²×D₄₃	1	1	yes	characteristic
1245	#95	C₂²×D₄₃	1	1	yes	characteristic
1246	#95	C₂²×D₄₃	1	1	yes	characteristic
1247	#95	C₂²×D₄₃	1	1	yes	characteristic
1248	#95	C₂²×D₄₃	1	1	yes	characteristic
1249	#95	C₂²×D₄₃	1	1	yes	characteristic
1250	#95	C₂²×D₄₃	1	1	yes	characteristic
1251	C₂⁴	—	43	1	no	—
1252	C₂⁴	—	43	1	no	—
1253	C₂⁴	—	43	1	no	—
1254	C₂⁴	—	43	1	no	—
1255	C₂⁴	—	86	2	no	—
1256	C₂⁴	—	86	2	no	—
1257	C₂⁴	—	86	2	no	—
1258	C₂⁴	—	86	2	no	—
1259	C₂⁴	—	86	2	no	—
1260	C₂⁴	—	86	2	no	—
1261	C₂⁴	—	86	2	no	—
1262	C₂⁴	—	86	2	no	—
1263	C₂⁴	—	86	2	no	—
1264	C₂⁴	—	86	2	no	—
1265	C₂⁴	—	172	1	no	—
1266	C₂⁴	—	172	1	no	—
1267	C₂⁴	—	172	1	no	—
1268	C₂⁴	—	172	1	no	—
1269	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1270	C₂⁴	C₂³×D₄₃	1	1	yes	characteristic
1271	C₂×Q₈	—	86	2	no	—
1272	C₂×Q₈	—	86	2	no	—
1273	C₂×Q₈	—	86	2	no	—
1274	C₂×D₄	—	2	2	no	—
1275	C₂×D₄	—	2	2	no	—
1276	C₂×D₄	—	2	2	no	—
1277	C₂×D₄	—	43	4	no	—
1278	C₂×D₄	—	43	4	no	—
1279	C₂×D₄	—	43	4	no	—
1280	C₂×D₄	—	86	2	no	—
1281	C₂×D₄	—	86	2	no	—
1282	C₂×D₄	—	86	2	no	—
1283	C₂×D₄	—	86	2	no	—
1284	C₂×D₄	—	86	2	no	—
1285	C₂×D₄	—	86	2	no	—
1286	C₂×D₄	—	86	2	no	—
1287	C₂×D₄	—	86	2	no	—
1288	C₂×D₄	—	86	2	no	—
1289	C₂×D₄	—	86	2	no	—
1290	C₂×D₄	—	86	2	no	—
1291	C₂×D₄	—	86	2	no	—
1292	C₂×D₄	—	86	32	no	—
1293	C₂×D₄	—	86	2	no	—
1294	C₂×D₄	—	86	2	no	—
1295	C₂×D₄	—	86	2	no	—
1296	C₂×D₄	—	86	2	no	—
1297	C₂×D₄	—	86	2	no	—
1298	C₂×D₄	—	172	1	no	—
1299	C₂×D₄	—	172	1	no	—
1300	C₂×D₄	—	172	1	no	—
1301	C₂×D₄	—	172	1	no	—
1302	C₂²×C₄	—	2	2	no	—
1303	C₂²×C₄	—	2	2	no	—
1304	C₂²×C₄	—	2	2	no	—
1305	C₂²×C₄	—	2	2	no	—
1306	C₂²×C₄	—	2	2	no	—
1307	C₂²×C₄	—	43	1	no	—
1308	C₂²×C₄	—	43	1	no	—
1309	C₂²×C₄	—	43	1	no	—
1310	C₂²×C₄	—	43	1	no	—
1311	C₂²×C₄	—	43	4	no	—
1312	C₂²×C₄	—	43	4	no	—
1313	C₂²×C₄	—	43	4	no	—
1314	C₂²×C₄	—	43	1	no	—
1315	C₂²×C₄	—	43	1	no	—
1316	C₂²×C₄	—	43	1	no	—
1317	C₂²×C₄	—	43	1	no	—
1318	C₂²×C₄	—	43	1	no	—
1319	C₂²×C₄	—	43	1	no	—
1320	C₂²×C₄	—	43	1	no	—
1321	C₂²×C₄	—	43	1	no	—
1322	C₂²×C₄	—	86	2	no	—
1323	C₂²×C₄	—	86	2	no	—
1324	C₂²×C₄	—	86	2	no	—
1325	C₂²×C₄	—	86	2	no	—
1326	C₂²×C₄	—	86	2	no	—
1327	C₂²×C₄	—	86	2	no	—
1328	C₂²×C₄	—	86	2	no	—
1329	C₂²×C₄	—	86	2	no	—
1330	C₂²×C₄	—	86	2	no	—
1331	C₂²×C₄	—	86	2	no	—
1332	C₂²×C₄	—	86	2	no	—
1333	C₂²×C₄	—	86	2	no	—
1334	C₂²×C₄	—	86	2	no	—
1335	C₂²×C₄	—	86	2	no	—
1336	C₂²×C₄	—	86	2	no	—
1337	C₂²×C₄	—	86	2	no	—
1338	C₂²×C₄	—	86	2	no	—
1339	C₂²×C₄	—	86	2	no	—
1340	C₂²×C₄	—	86	2	no	—
1341	C₂²×C₄	—	86	2	no	—
1342	C₂²×C₄	—	86	2	no	—
1343	C₂²×C₄	—	86	2	no	—
1344	C₂²×C₄	—	86	2	no	—
1345	C₂²×C₄	—	86	2	no	—
1346	C₂²×C₄	—	86	2	no	—
1347	C₂²×C₄	—	86	2	no	—
1348	C₂²×C₄	—	86	2	no	—
1349	C₂²×C₄	—	86	2	no	—
1350	C₂²×C₄	—	86	2	no	—
1351	C₂²×C₄	—	86	2	no	—
1352	C₂²×C₄	—	86	2	no	—
1353	C₂²×C₄	—	172	1	no	—
1354	C₂²×C₄	—	172	1	no	—
1355	C₂²×C₄	—	172	1	no	—
1356	C₂²×C₄	—	172	1	no	—
1357	C₂²×C₄	—	172	1	no	—
1358	C₂²×C₄	—	172	1	no	—
1359	C₂²×C₄	—	172	16	no	—
1360	C₂²×C₄	—	172	16	no	—
1361	C₂²×C₄	—	172	1	no	—
1362	C₂²×C₄	—	172	1	no	—
1363	C₂²×C₄	D₄×D₄₃	1	4	yes	—
1364	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1365	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1366	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1367	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1368	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1369	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1370	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1371	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1372	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1373	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1374	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1375	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1376	C₂²×C₄	C₂³×D₄₃	1	1	yes	characteristic
1377	C₄⋊C₄	—	2	2	no	—
1378	C₄⋊C₄	—	2	2	no	—
1379	C₄⋊C₄	—	2	2	no	—
1380	C₄⋊C₄	—	2	2	no	—
1381	C₄⋊C₄	—	2	2	no	—
1382	C₄⋊C₄	—	2	2	no	—
1383	C₄⋊C₄	—	4	1	no	—
1384	C₄⋊C₄	—	43	4	no	—
1385	C₄⋊C₄	—	86	2	no	—
1386	C₄⋊C₄	—	86	2	no	—
1387	C₄⋊C₄	—	86	2	no	—
1388	C₄⋊C₄	—	86	2	no	—
1389	C₄⋊C₄	—	86	2	no	—
1390	C₄⋊C₄	—	86	2	no	—
1391	C₄⋊C₄	—	86	2	no	—
1392	C₄⋊C₄	—	86	2	no	—
1393	C₄⋊C₄	—	86	2	no	—
1394	C₄⋊C₄	—	86	2	no	—
1395	C₄⋊C₄	—	86	2	no	—
1396	C₄⋊C₄	—	86	2	no	—
1397	C₄⋊C₄	—	86	2	no	—
1398	C₄⋊C₄	—	172	1	no	—
1399	C₄⋊C₄	—	172	1	no	—
1400	C₄⋊C₄	—	172	1	no	—
1401	C₄⋊C₄	—	172	1	no	—
1402	C₄⋊C₄	—	172	1	no	—
1403	C₄⋊C₄	—	172	1	no	—
1404	C₄⋊C₄	—	172	1	no	—
1405	C₂²⋊C₄	—	2	2	no	—
1406	C₂²⋊C₄	—	2	2	no	—
1407	C₂²⋊C₄	—	2	2	no	—
1408	C₂²⋊C₄	—	2	2	no	—
1409	C₂²⋊C₄	—	2	2	no	—
1410	C₂²⋊C₄	—	2	2	no	—
1411	C₂²⋊C₄	—	2	2	no	—
1412	C₂²⋊C₄	—	2	2	no	—
1413	C₂²⋊C₄	—	4	1	no	—
1414	C₂²⋊C₄	—	4	1	no	—
1415	C₂²⋊C₄	—	43	4	no	—
1416	C₂²⋊C₄	—	43	4	no	—
1417	C₂²⋊C₄	—	86	2	no	—
1418	C₂²⋊C₄	—	86	2	no	—
1419	C₂²⋊C₄	—	86	2	no	—
1420	C₂²⋊C₄	—	86	2	no	—
1421	C₂²⋊C₄	—	86	2	no	—
1422	C₂²⋊C₄	—	86	2	no	—
1423	C₂²⋊C₄	—	86	2	no	—
1424	C₂²⋊C₄	—	86	2	no	—
1425	C₂²⋊C₄	—	86	2	no	—
1426	C₂²⋊C₄	—	86	2	no	—
1427	C₂²⋊C₄	—	86	2	no	—
1428	C₂²⋊C₄	—	86	2	no	—
1429	C₂²⋊C₄	—	86	2	no	—
1430	C₂²⋊C₄	—	86	2	no	—
1431	C₂²⋊C₄	—	86	2	no	—
1432	C₂²⋊C₄	—	86	2	no	—
1433	C₂²⋊C₄	—	86	2	no	—
1434	C₂²⋊C₄	—	86	2	no	—
1435	C₂²⋊C₄	—	86	2	no	—
1436	C₂²⋊C₄	—	86	2	no	—
1437	C₂²⋊C₄	—	86	2	no	—
1438	C₂²⋊C₄	—	86	2	no	—
1439	C₂²⋊C₄	—	86	2	no	—
1440	C₂²⋊C₄	—	86	2	no	—
1441	C₂²⋊C₄	—	86	2	no	—
1442	C₂²⋊C₄	—	86	2	no	—
1443	C₂²⋊C₄	—	172	1	no	—
1444	C₂²⋊C₄	—	172	1	no	—
1445	C₂²⋊C₄	—	172	1	no	—
1446	C₂²⋊C₄	—	172	1	no	—
1447	C₂²⋊C₄	—	172	1	no	—
1448	C₂²⋊C₄	—	172	1	no	—
1449	C₂²⋊C₄	—	172	1	no	—
1450	C₂²⋊C₄	—	172	1	no	—
1451	C₂²⋊C₄	—	172	1	no	—
1452	C₂²⋊C₄	—	172	1	no	—
1453	C₂²⋊C₄	—	172	1	no	—
1454	C₂²⋊C₄	—	172	1	no	—
1455	C₄²	—	2	2	no	—
1456	C₄²	—	2	2	no	—
1457	C₄²	—	2	2	no	—
1458	C₄²	—	2	2	no	—
1459	C₄²	—	2	2	no	—
1460	C₄²	—	43	4	no	—
1461	C₄²	—	86	2	no	—
1462	C₄²	—	86	2	no	—
1463	C₄²	—	86	2	no	—
1464	C₄²	—	86	2	no	—
1465	C₄²	—	86	2	no	—
1466	C₄²	—	86	2	no	—
1467	C₄²	—	86	2	no	—
1468	C₄²	—	86	2	no	—
1469	C₄²	—	86	2	no	—
1470	C₄²	—	86	2	no	—
1471	C₄²	—	172	1	no	—
1472	C₂³	—	2	1	no	—
1473	C₂³	—	2	1	no	—
1474	C₂³	—	2	1	no	—
1475	C₂³	—	2	1	no	—
1476	C₂³	—	2	1	no	—
1477	C₂³	—	2	1	no	—
1478	C₂³	—	2	1	no	—
1479	C₂³	—	2	1	no	—
1480	C₂³	—	2	1	no	—
1481	C₂³	—	2	1	no	—
1482	C₂³	—	2	1	no	—
1483	C₂³	—	2	1	no	—
1484	C₂³	—	43	2	no	—
1485	C₂³	—	43	2	no	—
1486	C₂³	—	43	2	no	—
1487	C₂³	—	43	2	no	—
1488	C₂³	—	43	2	no	—
1489	C₂³	—	43	2	no	—
1490	C₂³	—	86	8	no	—
1491	C₂³	—	86	8	no	—
1492	C₂³	—	86	1	no	—
1493	C₂³	—	86	1	no	—
1494	C₂³	—	86	1	no	—
1495	C₂³	—	86	1	no	—
1496	C₂³	—	86	1	no	—
1497	C₂³	—	86	1	no	—
1498	C₂³	—	86	1	no	—
1499	C₂³	—	86	1	no	—
1500	C₂³	—	86	1	no	—
1501	C₂³	—	86	1	no	—
1502	C₂³	—	86	1	no	—
1503	C₂³	—	86	1	no	—
1504	C₂³	—	86	1	no	—
1505	C₂³	—	86	1	no	—
1506	C₂³	—	86	1	no	—
1507	C₂³	—	86	1	no	—
1508	C₂³	—	86	1	no	—
1509	C₂³	—	86	1	no	—
1510	C₂³	—	86	1	no	—
1511	C₂³	—	86	1	no	—
1512	C₂³	—	86	1	no	—
1513	C₂³	—	86	1	no	—
1514	C₂³	—	172	4	no	—
1515	C₂³	—	172	4	no	—
1516	C₂³	—	172	4	no	—
1517	C₂³	—	172	4	no	—
1518	C₂³	—	172	4	no	—
1519	C₂³	—	172	4	no	—
1520	C₂³	—	172	4	no	—
1521	C₂³	—	172	4	no	—
1522	C₂³	—	172	4	no	—
1523	C₂³	—	172	4	no	—
1524	C₂³	—	172	4	no	—
1525	C₂³	—	172	4	no	—
1526	C₂³	C₂×D₄×D₄₃	1	2	yes	—
1527	C₂³	#41×D₄₃	1	2	yes	—
1528	C₂³	C₂⁴×D₄₃	1	1	yes	characteristic
1529	Q₈	—	172	4	no	—
1530	D₄	—	2	8	no	—
1531	D₄	—	86	8	no	—
1532	D₄	—	86	8	no	—
1533	D₄	—	86	8	no	—
1534	D₄	—	86	8	no	—
1535	D₄	—	172	4	no	—
1536	D₄	—	172	4	no	—
1537	D₄	—	172	4	no	—
1538	D₄	—	172	4	no	—
1539	C₂×C₄	—	2	1	no	—
1540	C₂×C₄	—	2	1	no	—
1541	C₂×C₄	—	2	1	no	—
1542	C₂×C₄	—	2	1	no	—
1543	C₂×C₄	—	2	1	no	—
1544	C₂×C₄	—	2	1	no	—
1545	C₂×C₄	—	2	8	no	—
1546	C₂×C₄	—	2	1	no	—
1547	C₂×C₄	—	2	1	no	—
1548	C₂×C₄	—	2	1	no	—
1549	C₂×C₄	—	2	1	no	—
1550	C₂×C₄	—	2	1	no	—
1551	C₂×C₄	—	2	1	no	—
1552	C₂×C₄	—	2	1	no	—
1553	C₂×C₄	—	2	1	no	—
1554	C₂×C₄	—	2	1	no	—
1555	C₂×C₄	—	2	1	no	—
1556	C₂×C₄	—	2	1	no	—
1557	C₂×C₄	—	2	1	no	—
1558	C₂×C₄	—	2	1	no	—
1559	C₂×C₄	—	2	1	no	—
1560	C₂×C₄	—	2	1	no	—
1561	C₂×C₄	—	2	1	no	—
1562	C₂×C₄	—	2	1	no	—
1563	C₂×C₄	—	2	1	no	—
1564	C₂×C₄	—	2	1	no	—
1565	C₂×C₄	—	2	1	no	—
1566	C₂×C₄	—	2	1	no	—
1567	C₂×C₄	—	2	1	no	—
1568	C₂×C₄	—	2	1	no	—
1569	C₂×C₄	—	2	1	no	—
1570	C₂×C₄	—	2	1	no	—
1571	C₂×C₄	—	2	1	no	—
1572	C₂×C₄	—	2	1	no	—
1573	C₂×C₄	—	4	4	no	—
1574	C₂×C₄	—	43	2	no	—
1575	C₂×C₄	—	43	2	no	—
1576	C₂×C₄	—	43	2	no	—
1577	C₂×C₄	—	43	2	no	—
1578	C₂×C₄	—	43	2	no	—
1579	C₂×C₄	—	43	2	no	—
1580	C₂×C₄	—	86	8	no	—
1581	C₂×C₄	—	86	1	no	—
1582	C₂×C₄	—	86	1	no	—
1583	C₂×C₄	—	86	1	no	—
1584	C₂×C₄	—	86	1	no	—
1585	C₂×C₄	—	86	1	no	—
1586	C₂×C₄	—	86	1	no	—
1587	C₂×C₄	—	86	8	no	—
1588	C₂×C₄	—	86	8	no	—
1589	C₂×C₄	—	86	1	no	—
1590	C₂×C₄	—	86	1	no	—
1591	C₂×C₄	—	86	1	no	—
1592	C₂×C₄	—	86	1	no	—
1593	C₂×C₄	—	86	1	no	—
1594	C₂×C₄	—	86	1	no	—
1595	C₂×C₄	—	86	1	no	—
1596	C₂×C₄	—	86	1	no	—
1597	C₂×C₄	—	86	1	no	—
1598	C₂×C₄	—	86	1	no	—
1599	C₂×C₄	—	86	1	no	—
1600	C₂×C₄	—	86	1	no	—
1601	C₂×C₄	—	86	1	no	—
1602	C₂×C₄	—	86	1	no	—
1603	C₂×C₄	—	86	1	no	—
1604	C₂×C₄	—	86	1	no	—
1605	C₂×C₄	—	86	1	no	—
1606	C₂×C₄	—	86	1	no	—
1607	C₂×C₄	—	86	1	no	—
1608	C₂×C₄	—	86	1	no	—
1609	C₂×C₄	—	86	1	no	—
1610	C₂×C₄	—	86	1	no	—
1611	C₂×C₄	—	86	1	no	—
1612	C₂×C₄	—	86	1	no	—
1613	C₂×C₄	—	172	4	no	—
1614	C₂×C₄	—	172	4	no	—
1615	C₂×C₄	—	172	4	no	—
1616	C₂×C₄	—	172	4	no	—
1617	C₂×C₄	—	172	4	no	—
1618	C₂×C₄	—	172	4	no	—
1619	C₂×C₄	—	172	4	no	—
1620	C₂×C₄	—	172	4	no	—
1621	C₂×C₄	—	172	4	no	—
1622	C₂×C₄	—	172	4	no	—
1623	C₂×C₄	—	172	4	no	—
1624	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
1625	C₂×C₄	C₂×D₄×D₄₃	1	2	yes	—
1626	C₂×C₄	#41×D₄₃	1	2	yes	—
1627	C₂×C₄	#41×D₄₃	1	2	yes	—
1628	C₂×C₄	#41×D₄₃	1	2	yes	—
1629	C₂×C₄	#13063371	1	2	yes	—
1630	C₂²	—	2	2	no	—
1631	C₂²	—	2	2	no	—
1632	C₂²	—	2	2	no	—
1633	C₂²	—	2	2	no	—
1634	C₂²	—	2	2	no	—
1635	C₂²	—	2	2	no	—
1636	C₂²	—	4	1	no	—
1637	C₂²	—	4	1	no	—
1638	C₂²	—	4	1	no	—
1639	C₂²	—	4	1	no	—
1640	C₂²	—	4	1	no	—
1641	C₂²	—	4	1	no	—
1642	C₂²	—	4	1	no	—
1643	C₂²	—	4	1	no	—
1644	C₂²	—	43	4	no	—
1645	C₂²	—	86	2	no	—
1646	C₂²	—	86	2	no	—
1647	C₂²	—	86	2	no	—
1648	C₂²	—	86	2	no	—
1649	C₂²	—	86	2	no	—
1650	C₂²	—	86	2	no	—
1651	C₂²	—	86	2	no	—
1652	C₂²	—	86	2	no	—
1653	C₂²	—	86	2	no	—
1654	C₂²	—	86	2	no	—
1655	C₂²	—	86	2	no	—
1656	C₂²	—	86	2	no	—
1657	C₂²	—	86	2	no	—
1658	C₂²	—	86	2	no	—
1659	C₂²	—	86	2	no	—
1660	C₂²	—	172	16	no	—
1661	C₂²	—	172	16	no	—
1662	C₂²	—	172	1	no	—
1663	C₂²	—	172	1	no	—
1664	C₂²	—	172	1	no	—
1665	C₂²	—	172	1	no	—
1666	C₂²	—	172	1	no	—
1667	C₂²	—	172	1	no	—
1668	C₂²	—	172	1	no	—
1669	C₂²	—	172	1	no	—
1670	C₂²	—	172	1	no	—
1671	C₂²	—	172	1	no	—
1672	C₂²	—	172	1	no	—
1673	C₂²	—	172	1	no	—
1674	C₂²	C₂²×D₄×D₄₃	1	1	yes	characteristic
1675	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1676	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1677	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1678	C₂²	C₂×#41×D₄₃	1	1	yes	characteristic
1679	C₂²	C₂×#13063371	1	1	yes	characteristic
1680	C₂²	#14583735	1	1	yes	characteristic
1681	C₄	—	2	2	no	—
1682	C₄	—	2	2	no	—
1683	C₄	—	2	2	no	—
1684	C₄	—	4	1	no	—
1685	C₄	—	4	1	no	—
1686	C₄	—	4	1	no	—
1687	C₄	—	4	1	no	—
1688	C₄	—	4	1	no	—
1689	C₄	—	4	1	no	—
1690	C₄	—	4	1	no	—
1691	C₄	—	4	1	no	—
1692	C₄	—	4	1	no	—
1693	C₄	—	43	4	no	—
1694	C₄	—	86	2	no	—
1695	C₄	—	86	2	no	—
1696	C₄	—	86	2	no	—
1697	C₄	—	172	1	no	—
1698	C₄	—	172	1	no	—
1699	C₄	—	172	1	no	—
1700	C₄	—	172	1	no	—
1701	C₄	—	172	1	no	—
1702	C₄	—	172	1	no	—
1703	C₄	—	172	1	no	—
1704	C₄	—	172	1	no	—
1705	C₄	#14583541	1	4	yes	—
1706	C₂	—	4	2	no	—
1707	C₂	—	4	2	no	—
1708	C₂	—	86	4	no	—
1709	C₂	—	172	2	no	—
1710	C₂	—	172	2	no	—
1711	C₂	—	172	2	no	—
1712	C₂	#525×D₄₃	1	1	yes	characteristic
1713	C₂	#529×D₄₃	1	1	yes	characteristic
1714	C₂	#19148016	1	1	yes	characteristic
1715	C₂	C₂×#14583541	1	1	yes	characteristic
1716	C₂	#19148081	1	1	yes	characteristic
1717	C₂	#19148147	1	1	yes	characteristic
1718	C₂	#19148201	1	1	yes	characteristic

	subgroup	G/H
center	C₂²×C₄	C₂³×D₄₃
commutator, socle, cosocle	C₂³×C₄₃	C₂⁵
Frattini	C₂³	C₂⁴×D₄₃
Fitting	C₄₃×#2395	C₂
prime radical	#19137946	C₂
hypercenter	#2395	D₄₃
hypocenter	C₄₃	#34700
LCS	G ▷ C₂³×C₄₃ ▷ C₄₃
UCS	C₁ ◁ C₂²×C₄ ◁ #2395

Complements

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

N	H ≅ G/N	type
1. C₂×#14583427	C₂	semidirect
2. C₂×C₄×D₄×D₄₃	C₂	semidirect
3. #19138842	C₂	semidirect
4. #19138834	C₂	semidirect
5. #19138662	C₂	semidirect
6. #19138654	C₂	semidirect
7. #19138505	C₂	semidirect
8. #19138497	C₂	semidirect
9. #19138462	C₂	semidirect
10. #19138377	C₂	semidirect
11. #19138312	C₂	semidirect
12. #19138241	C₂	semidirect
13. #19138167	C₂	semidirect
14. #19138082	C₂	semidirect
15. #19138060	C₂	semidirect
16. #19138058	C₂	semidirect
17. #19138041	C₂	semidirect
19. #19137858	C₂	semidirect
20. #19137837	C₂	semidirect
21. #19137835	C₂	semidirect
22. C₄×#13063311	C₂	semidirect
23. C₄×#13063303	C₂	semidirect
24. C₄×#13063298	C₂	semidirect
25. C₄×#13063295	C₂	semidirect
26. C₄×#13063295	C₂	semidirect
27. #19137058	C₂	semidirect
28. #19136976	C₂	semidirect
29. #19136974	C₂	semidirect
30. C₄×#13063287	C₂	semidirect
31. C₄₃×#2395	C₂	semidirect
36. C₂×#13063320	C₂²	semidirect
37. C₂×#13063318	C₂²	semidirect
38. C₂×#13063315	C₂²	semidirect
41. C₂×#13063310	C₂²	semidirect
42. C₂×#13063307	C₂²	semidirect
44. C₂×#13063303	C₂²	semidirect
49. C₂×C₄×Dic₈₆	C₂²	semidirect
52. C₂×C₄×D₁₇₂	C₂²	semidirect
53. C₂×C₄×D₁₇₂	C₂²	semidirect
60. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
61. C₂×C₄×C₂²⋊D₄₃	C₂²	semidirect
65. C₂×#13063284	C₂²	semidirect
66. C₂×#13063282	C₂²	semidirect
67. C₂×#13063282	C₂²	semidirect
72. C₂×C₄²×D₄₃	C₂²	semidirect
73. #14582841	C₂²	semidirect
74. #14582834	C₂²	semidirect
75. #14582832	C₂²	semidirect
76. #14582832	C₂²	semidirect
77. #14582831	C₂²	semidirect
78. #14582828	C₂²	semidirect
79. #14582828	C₂²	semidirect
80. #14582827	C₂²	semidirect
81. #14582826	C₂²	semidirect
82. #14582825	C₂²	semidirect
83. #14582822	C₂²	semidirect
84. #14582821	C₂²	semidirect
85. #14582821	C₂²	semidirect
86. #14582821	C₂²	semidirect
88. #14582817	C₂²	semidirect
91. #14582816	C₂²	semidirect
92. #14582815	C₂²	semidirect
93. #14582814	C₂²	semidirect
97. #14582803	C₂²	semidirect
98. #14582803	C₂²	semidirect
103. #14582796	C₂²	semidirect
104. #14582796	C₂²	semidirect
105. #14582796	C₂²	semidirect
106. #14582794	C₂²	semidirect
107. #14582792	C₂²	semidirect
108. #14582792	C₂²	semidirect
109. #14582791	C₂²	semidirect
110. #14582791	C₂²	semidirect
111. #14582791	C₂²	semidirect
112. #14582788	C₂²	semidirect
113. #14582788	C₂²	semidirect
114. #14582787	C₂²	semidirect
115. #14582787	C₂²	semidirect
116. #14582787	C₂²	semidirect
117. #14582785	C₂²	semidirect
118. #14582781	C₂²	semidirect
121. #14582777	C₂²	semidirect
122. #14582777	C₂²	semidirect
123. #14582777	C₂²	semidirect
124. #14582776	C₂²	semidirect
125. #14582776	C₂²	semidirect
126. #14582775	C₂²	semidirect
127. #14582774	C₂²	semidirect
128. #14582774	C₂²	semidirect
132. #14582773	C₂²	semidirect
133. #14582773	C₂²	semidirect
135. #14582763	C₂²	semidirect
136. #14582761	C₂²	semidirect
137. #14582761	C₂²	semidirect
138. #14582760	C₂²	semidirect
139. #14582760	C₂²	semidirect
143. #14582758	C₂²	semidirect
144. #14582757	C₂²	semidirect
145. #14582757	C₂²	semidirect
148. #14582756	C₂²	semidirect
149. #14582756	C₂²	semidirect
156. C₄⋊C₄×Dic₄₃	C₂²	semidirect
157. C₄⋊C₄×Dic₄₃	C₂²	semidirect
158. C₄×Dic₄₃⋊C₄	C₂²	semidirect
159. C₄×Dic₄₃⋊C₄	C₂²	semidirect
163. C₄×(C₂×D₄₃)⋊C₄	C₂²	semidirect
164. C₄×(C₂×D₄₃)⋊C₄	C₂²	semidirect
165. C₄×(C₂×D₄₃)⋊C₄	C₂²	semidirect
166. C₄×(C₂×D₄₃)⋊C₄	C₂²	semidirect
167. C₄×(C₂×D₄₃)⋊C₄	C₂²	semidirect
168. C₄×C₂²⋊Dic₄₃	C₂²	semidirect
171. #14582746	C₂²	semidirect
172. #14582746	C₂²	semidirect
173. C₄²×Dic₄₃	C₂²	semidirect
175. C₂×#117×C₄₃	C₂²	semidirect
176. C₄₃×#400	C₂²	semidirect
177. C₄₃×#399	C₂²	semidirect
178. C₄₃×#398	C₂²	semidirect
179. C₄₃×#397	C₂²	semidirect
180. C₄₃×#397	C₂²	semidirect
181. C₄₃×#397	C₂²	semidirect
184. C₄×C₄⋊C₄×C₄₃	C₂²	semidirect
185. C₄×C₄⋊C₄×C₄₃	C₂²	semidirect
186. C₄×C₂²⋊C₄×C₄₃	C₂²	semidirect
187. C₄×C₂²⋊C₄×C₄₃	C₂²	semidirect
188. C₄×C₂²⋊C₄×C₄₃	C₂²	semidirect
248. C₄×C₂²⋊D₄₃	D₄	semidirect
821. C₂×D₄₃	#529	semidirect
866. #2395	D₄₃	semidirect
928. C₂×#117	C₂×D₄₃	semidirect
935. #400	C₂×D₄₃	semidirect
937. #399	C₂×D₄₃	semidirect
941. #398	C₂×D₄₃	semidirect
947. #397	C₂×D₄₃	semidirect
948. #397	C₂×D₄₃	semidirect
949. #397	C₂×D₄₃	semidirect
1029. C₄×C₄⋊C₄	C₂×D₄₃	semidirect
1030. C₄×C₄⋊C₄	C₂×D₄₃	semidirect
1044. C₄×C₂²⋊C₄	C₂×D₄₃	semidirect
1045. C₄×C₂²⋊C₄	C₂×D₄₃	semidirect
1046. C₄×C₂²⋊C₄	C₂×D₄₃	semidirect
1048. C₄₃	#34700	semidirect

Maximal subgroups

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

subgroup	index
C₂×#14583427	2
C₂×C₄×D₄×D₄₃	2
#19138842	2
#19138834	2
#19138662	2
#19138654	2
#19138505	2
#19138497	2
#19138462	2
#19138377	2
#19138312	2
#19138241	2
#19138167	2
#19138082	2
#19138060	2
#19138058	2
#19138041	2
#19137946	2
#19137858	2
#19137837	2
#19137835	2
C₄×#13063311	2
C₄×#13063303	2
C₄×#13063298	2
C₄×#13063295	2
#19137058	2
#19136976	2
#19136974	2
C₄×#13063287	2
C₄₃×#2395	2
#34700	43