Subgroups — #36281177

Order 21248.

2138 conjugacy classes of subgroups.

The subgroup lattice has 1840 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#24921021	C₂	1	1	yes	maximal, characteristic, complemented
2	#24919649	C₂	1	1	yes	maximal, characteristic, complemented
3	#24919634	C₂	1	1	yes	maximal, characteristic, complemented
4	#24919619	C₂	1	1	yes	maximal, characteristic, complemented
5	#24919604	C₂	1	1	yes	maximal, characteristic, complemented
6	#24919589	C₂	1	1	yes	maximal, characteristic, complemented
7	#24919574	C₂	1	1	yes	maximal, characteristic, complemented
8	#24919559	C₂	1	1	yes	maximal, characteristic, complemented
9	#24919544	C₂	1	1	yes	maximal, characteristic, complemented
10	#24919529	C₂	1	1	yes	maximal, characteristic, complemented
11	#24919514	C₂	1	1	yes	maximal, characteristic, complemented
12	#24919499	C₂	1	1	yes	maximal, characteristic, complemented
13	#24919484	C₂	1	1	yes	maximal, characteristic, complemented
14	#24919469	C₂	1	1	yes	maximal, characteristic, complemented
15	#24919454	C₂	1	1	yes	maximal, characteristic, complemented
16	#24919439	C₂	1	1	yes	maximal, characteristic, complemented
17	#24919424	C₂	1	1	yes	maximal, characteristic, complemented
18	#24917808	C₂	1	1	yes	maximal, characteristic, complemented
19	#24917372	C₂	1	1	yes	maximal, characteristic, complemented
20	#24917372	C₂	1	1	yes	maximal, characteristic, complemented
21	#24917251	C₂	1	1	yes	maximal, characteristic, complemented
22	#24917069	C₂	1	1	yes	maximal, characteristic, complemented
23	#24917041	C₂	1	1	yes	maximal, characteristic, complemented
24	#24916912	C₂	1	1	yes	maximal, characteristic, complemented
25	#24916681	C₂	1	1	yes	maximal, characteristic, complemented
26	#24916681	C₂	1	1	yes	maximal, characteristic, complemented
27	#24916261	C₂	1	1	yes	maximal, characteristic, complemented
28	C₂×#19127773	C₂	1	1	yes	maximal, characteristic, complemented
29	#24915982	C₂	1	1	yes	maximal, characteristic, complemented
30	C₂×#19127697	C₂	1	1	yes	maximal, characteristic, complemented
31	D₄×#41×C₈₃	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#14581812	C₂²	1	1	yes	characteristic
33	C₂×#14581812	C₂²	1	1	yes	characteristic, complemented
34	C₂×#14581812	C₂²	1	1	yes	characteristic, complemented
35	C₂²×#13050574	C₂²	1	1	yes	characteristic, complemented
36	C₂³×C₈₃⋊C₈	C₂²	1	1	yes	characteristic, complemented
37	#19128421	C₂²	1	1	yes	characteristic, complemented
38	#19128416	C₂²	1	1	yes	characteristic, complemented
39	#19128408	C₂²	1	1	yes	characteristic, complemented
40	#19128397	C₂²	1	1	yes	characteristic
41	#19128397	C₂²	1	1	yes	characteristic, complemented
42	#19128391	C₂²	1	1	yes	characteristic
43	#19128391	C₂²	1	1	yes	characteristic, complemented
44	#19128386	—	2	1	no	—
45	#19128377	—	2	1	no	—
46	#19128377	—	2	1	no	—
47	#19128355	C₂²	1	1	yes	characteristic, complemented
48	#19128345	—	2	1	no	—
49	#19128258	C₂²	1	1	yes	characteristic, complemented
50	#19128233	—	2	1	no	—
51	#19128231	—	2	1	no	—
52	#19128231	—	2	1	no	—
53	#19128212	C₂²	1	1	yes	characteristic, complemented
54	#19128212	C₂²	1	1	yes	characteristic, complemented
55	C₄×#13050590	C₂²	1	1	yes	characteristic, complemented
56	C₄×#13050589	—	2	1	no	—
57	C₂×#14581751	C₂²	1	1	yes	characteristic, complemented
58	C₂×#14581751	C₂²	1	1	yes	characteristic, complemented
59	#19128069	C₂²	1	1	yes	characteristic, complemented
60	#19128069	C₂²	1	1	yes	characteristic, complemented
61	#19128065	C₂²	1	1	yes	characteristic, complemented
62	#19128065	C₂²	1	1	yes	characteristic, complemented
63	#19128060	C₂²	1	1	yes	characteristic, complemented
64	#19128060	C₂²	1	1	yes	characteristic, complemented
65	#19128060	C₂²	1	1	yes	characteristic, complemented
66	#19128060	C₂²	1	1	yes	characteristic, complemented
67	#19128039	C₂²	1	1	yes	characteristic, complemented
68	#19128039	C₂²	1	1	yes	characteristic, complemented
69	#19128039	C₂²	1	1	yes	characteristic, complemented
70	#19128039	C₂²	1	1	yes	characteristic, complemented
71	#19128034	C₂²	1	1	yes	characteristic, complemented
72	#19128034	C₂²	1	1	yes	characteristic, complemented
73	#19128029	C₂²	1	1	yes	characteristic, complemented
74	#19128029	C₂²	1	1	yes	characteristic, complemented
75	#19128022	C₂²	1	1	yes	characteristic, complemented
76	#19128022	C₂²	1	1	yes	characteristic, complemented
77	#19128022	C₂²	1	1	yes	characteristic, complemented
78	#19128022	C₂²	1	1	yes	characteristic, complemented
79	#19128017	C₂²	1	1	yes	characteristic, complemented
80	#19128017	C₂²	1	1	yes	characteristic, complemented
81	#19128012	C₂²	1	1	yes	characteristic, complemented
82	#19128012	C₂²	1	1	yes	characteristic, complemented
83	#19128008	C₂²	1	1	yes	characteristic, complemented
84	#19128008	C₂²	1	1	yes	characteristic, complemented
85	#19128001	C₂²	1	1	yes	characteristic, complemented
86	#19128001	C₂²	1	1	yes	characteristic, complemented
87	#19127996	C₂²	1	1	yes	characteristic, complemented
88	#19127991	C₂²	1	1	yes	characteristic, complemented
89	#19127986	C₂²	1	1	yes	characteristic, complemented
90	#19127981	C₂²	1	1	yes	characteristic, complemented
91	#19127957	C₂²	1	1	yes	characteristic, complemented
92	#19127957	C₂²	1	1	yes	characteristic, complemented
93	#19127952	C₂²	1	1	yes	characteristic, complemented
94	#19127952	C₂²	1	1	yes	characteristic, complemented
95	#19127949	C₂²	1	1	yes	characteristic, complemented
96	#19127949	C₂²	1	1	yes	characteristic, complemented
97	#19127945	C₂²	1	1	yes	characteristic, complemented
98	#19127945	C₂²	1	1	yes	characteristic, complemented
99	#19127940	C₂²	1	1	yes	characteristic, complemented
100	#19127940	C₂²	1	1	yes	characteristic, complemented
101	#19127935	C₂²	1	1	yes	characteristic, complemented
102	#19127935	C₂²	1	1	yes	characteristic, complemented
103	#19127932	C₂²	1	1	yes	characteristic, complemented
104	#19127932	C₂²	1	1	yes	characteristic, complemented
105	#19127928	C₂²	1	1	yes	characteristic, complemented
106	#19127928	C₂²	1	1	yes	characteristic, complemented
107	#19127920	C₂²	1	1	yes	characteristic, complemented
108	#19127920	C₂²	1	1	yes	characteristic, complemented
109	#19127913	C₂²	1	1	yes	characteristic, complemented
110	#19127913	C₂²	1	1	yes	characteristic, complemented
111	#19127908	C₂²	1	1	yes	characteristic, complemented
112	#19127903	C₂²	1	1	yes	characteristic, complemented
113	#19127898	C₂²	1	1	yes	characteristic, complemented
114	#19127893	C₂²	1	1	yes	characteristic, complemented
115	#19127863	C₂²	1	1	yes	characteristic, complemented
116	#19127863	C₂²	1	1	yes	characteristic, complemented
117	#19127863	C₂²	1	1	yes	characteristic, complemented
118	#19127863	C₂²	1	1	yes	characteristic, complemented
119	#19127857	C₂²	1	1	yes	characteristic, complemented
120	#19127857	C₂²	1	1	yes	characteristic, complemented
121	#19127852	C₂²	1	1	yes	characteristic, complemented
122	#19127852	C₂²	1	1	yes	characteristic, complemented
123	#19127846	C₂²	1	1	yes	characteristic, complemented
124	#19127846	C₂²	1	1	yes	characteristic, complemented
125	#19127846	C₂²	1	1	yes	characteristic, complemented
126	#19127846	C₂²	1	1	yes	characteristic, complemented
127	#19127840	C₂²	1	1	yes	characteristic, complemented
128	#19127840	C₂²	1	1	yes	characteristic, complemented
129	#19127835	C₂²	1	1	yes	characteristic, complemented
130	#19127835	C₂²	1	1	yes	characteristic, complemented
131	#19127811	C₂²	1	1	yes	characteristic, complemented
132	#19127811	C₂²	1	1	yes	characteristic, complemented
133	#19127806	C₂²	1	1	yes	characteristic, complemented
134	#19127806	C₂²	1	1	yes	characteristic, complemented
135	#19127801	C₂²	1	1	yes	characteristic, complemented
136	#19127801	C₂²	1	1	yes	characteristic, complemented
137	#19127799	C₂²	1	1	yes	characteristic, complemented
138	#19127799	C₂²	1	1	yes	characteristic, complemented
139	#19127773	C₂²	1	1	yes	characteristic
140	#19127773	C₂²	1	1	yes	characteristic
141	#19127773	C₂²	1	1	yes	characteristic, complemented
142	#19127773	C₂²	1	1	yes	characteristic, complemented
143	#19127773	C₂²	1	1	yes	characteristic, complemented
144	#19127773	C₂²	1	1	yes	characteristic, complemented
145	#19127773	C₂²	1	1	yes	characteristic, complemented
146	#19127773	C₂²	1	1	yes	characteristic, complemented
147	#19127737	C₂²	1	1	yes	characteristic, complemented
148	#19127737	C₂²	1	1	yes	characteristic, complemented
149	#19127737	C₂²	1	1	yes	characteristic, complemented
150	C₂×C₄⋊(C₈₃⋊C₈)	C₂²	1	1	yes	characteristic, complemented
151	#19127710	C₂²	1	1	yes	characteristic, complemented
152	#19127710	C₂²	1	1	yes	characteristic, complemented
153	#19127706	C₂²	1	1	yes	characteristic, complemented
154	#19127706	C₂²	1	1	yes	characteristic, complemented
155	#19127702	C₂²	1	1	yes	characteristic, complemented
156	#19127702	C₂²	1	1	yes	characteristic, complemented
157	#19127702	C₂²	1	1	yes	characteristic, complemented
158	#19127702	C₂²	1	1	yes	characteristic, complemented
159	#19127697	C₂²	1	1	yes	characteristic
160	#19127697	C₂²	1	1	yes	characteristic
161	#19127697	C₂²	1	1	yes	characteristic
162	#19127697	C₂²	1	1	yes	characteristic, complemented
163	#19127697	C₂²	1	1	yes	characteristic, complemented
164	#19127697	C₂²	1	1	yes	characteristic, complemented
165	#19127697	C₂²	1	1	yes	characteristic, complemented
166	#19127697	C₂²	1	1	yes	characteristic, complemented
167	#19127697	C₂²	1	1	yes	characteristic, complemented
168	#19127697	C₂²	1	1	yes	characteristic, complemented
169	#19127697	C₂²	1	1	yes	characteristic, complemented
170	#19127697	C₂²	1	1	yes	characteristic, complemented
171	#19127697	C₂²	1	1	yes	characteristic, complemented
172	#19127695	C₂²	1	1	yes	characteristic, complemented
173	C₂×#14581716	C₂²	1	1	yes	characteristic, complemented
174	C₂×#14581716	C₂²	1	1	yes	characteristic, complemented
175	C₂×#14581713	C₂²	1	1	yes	characteristic, complemented
176	C₂×#14581713	C₂²	1	1	yes	characteristic, complemented
177	C₂×C₂²⋊(C₈₃⋊C₈)	C₂²	1	1	yes	characteristic, complemented
178	C₂×C₂²⋊(C₈₃⋊C₈)	C₂²	1	1	yes	characteristic, complemented
179	C₂×#14581703	C₂²	1	1	yes	characteristic, complemented
180	C₂²×#41×C₈₃	C₂²	1	1	yes	characteristic
181	C₂²×#41×C₈₃	C₂²	1	1	yes	characteristic
182	#550×C₈₃	C₂²	1	1	yes	characteristic
183	D₄×Q₈×C₈₃	C₂²	1	1	yes	characteristic
184	#548×C₈₃	C₂²	1	1	yes	characteristic
185	#548×C₈₃	C₂²	1	1	yes	characteristic
186	#547×C₈₃	—	2	1	no	—
187	#547×C₈₃	C₂²	1	1	yes	characteristic
188	#546×C₈₃	—	2	1	no	—
189	#546×C₈₃	—	2	1	no	—
190	#546×C₈₃	C₂²	1	1	yes	characteristic
191	#546×C₈₃	C₂²	1	1	yes	characteristic
192	D₄²×C₈₃	—	2	1	no	—
193	D₄²×C₈₃	C₂²	1	1	yes	characteristic
194	#532×C₈₃	—	2	1	no	—
195	#532×C₈₃	C₂²	1	1	yes	characteristic
196	#525×C₈₃	—	2	1	no	—
197	#525×C₈₃	—	2	1	no	—
198	#525×C₈₃	C₂²	1	1	yes	characteristic
199	#525×C₈₃	C₂²	1	1	yes	characteristic
200	C₄×#41×C₈₃	C₂²	1	1	yes	characteristic
201	C₂×C₄×D₄×C₈₃	—	2	1	no	—
202	C₂×C₄×D₄×C₈₃	C₂²	1	1	yes	characteristic
203	C₂×#13050590	C₂³	1	1	yes	characteristic
204	C₂×#13050589	—	2	1	no	—
205	#14581812	—	2	4	no	—
206	#14581812	—	4	2	no	—
207	#14581812	—	4	2	no	—
208	C₂×#13050580	C₂³	1	1	yes	characteristic
209	C₂×#13050580	C₂³	1	1	yes	characteristic
210	C₂×#13050580	C₂³	1	1	yes	characteristic
211	C₂×#13050578	C₂³	1	1	yes	characteristic
212	C₂×#13050578	C₂³	1	1	yes	characteristic
213	C₂×#13050578	C₂³	1	1	yes	characteristic
214	C₂×#13050577	C₂³	1	1	yes	characteristic
215	C₂×#13050577	C₂³	1	1	yes	characteristic
216	C₂×#13050577	C₂³	1	1	yes	characteristic
217	C₂×#13050575	C₂³	1	1	yes	characteristic
218	C₂×#13050575	C₂³	1	1	yes	characteristic
219	C₂×#13050575	C₂³	1	1	yes	characteristic
220	C₂×#13050574	—	4	2	no	—
221	C₂×#13050574	C₂³	1	1	yes	characteristic
222	C₂×#13050574	C₂³	1	1	yes	characteristic
223	C₂×#13050574	C₂³	1	1	yes	characteristic
224	C₂×#13050574	C₂³	1	1	yes	characteristic
225	C₂²×C₈₃⋊C₈	—	4	2	no	—
226	C₂²×C₈₃⋊C₈	C₂³	1	1	yes	characteristic
227	C₂²×C₈₃⋊C₈	C₂³	1	1	yes	characteristic
228	C₂²×C₈₃⋊C₈	C₂³	1	1	yes	characteristic
229	C₂²×C₈₃⋊C₈	C₂³	1	1	yes	characteristic
230	C₂²×C₈₃⋊C₈	C₂³	1	1	yes	characteristic
231	C₂²×C₈₃⋊C₈	C₂³	1	1	yes	characteristic
232	C₂²×C₈₃⋊C₈	C₂³	1	1	yes	characteristic
233	C₂²×C₈₃⋊C₈	C₂³	1	1	yes	characteristic
234	#14581792	C₂³	1	1	yes	characteristic
235	#14581792	C₂³	1	1	yes	characteristic
236	#14581787	—	2	1	no	—
237	#14581787	—	2	1	no	—
238	#14581785	—	2	1	no	—
239	#14581785	—	2	1	no	—
240	#14581785	—	2	1	no	—
241	#14581785	—	2	1	no	—
242	#14581784	C₂³	1	1	yes	characteristic
243	#14581784	C₂³	1	1	yes	characteristic
244	#14581783	—	2	1	no	—
245	#14581782	—	2	1	no	—
246	#14581782	—	2	1	no	—
247	#14581779	—	2	1	no	—
248	#14581778	—	2	1	no	—
249	#14581778	—	2	1	no	—
250	#14581776	—	2	1	no	—
251	#14581776	—	2	1	no	—
252	#14581775	—	2	1	no	—
253	#14581775	—	2	1	no	—
254	#14581774	—	2	1	no	—
255	#14581774	—	2	1	no	—
256	#14581773	—	2	1	no	—
257	#14581773	—	2	1	no	—
258	#14581772	—	2	1	no	—
259	#14581771	—	2	1	no	—
260	#14581771	—	2	1	no	—
261	#14581771	C₂³	1	1	yes	characteristic
262	#14581771	C₂³	1	1	yes	characteristic
263	#14581771	C₂³	1	1	yes	characteristic
264	#14581771	C₂³	1	1	yes	characteristic
265	#14581769	—	2	1	no	—
266	#14581769	—	2	1	no	—
267	#14581766	C₂³	1	1	yes	characteristic
268	#14581766	C₂³	1	1	yes	characteristic
269	#14581766	C₂³	1	1	yes	characteristic
270	#14581766	C₂³	1	1	yes	characteristic
271	#14581764	—	2	1	no	—
272	#14581764	—	2	1	no	—
273	#14581763	—	2	1	no	—
274	#14581761	—	2	1	no	—
275	#14581761	—	2	1	no	—
276	C₄×Dic₁₆₆	—	2	1	no	—
277	C₄×Dic₁₆₆	—	2	1	no	—
278	C₄×Dic₁₆₆	C₂³	1	1	yes	characteristic
279	C₄×Dic₁₆₆	C₂³	1	1	yes	characteristic
280	#14581757	—	2	1	no	—
281	C₄×D₃₃₂	C₂³	1	1	yes	characteristic
282	C₄×D₃₃₂	C₂³	1	1	yes	characteristic
283	D₄×Dic₈₃	—	2	1	no	—
284	C₄×C₂²⋊D₈₃	—	2	1	no	—
285	C₄×C₂²⋊D₈₃	—	2	1	no	—
286	C₄×C₂²⋊D₈₃	—	2	1	no	—
287	C₄×C₂²⋊D₈₃	—	2	1	no	—
288	C₄×C₂²⋊D₈₃	—	2	1	no	—
289	C₄×C₂²⋊D₈₃	—	2	1	no	—
290	(C₂²⋊D₈₃)⋊C₄	—	2	1	no	—
291	(C₂²⋊D₈₃)⋊C₄	—	2	1	no	—
292	#14581751	—	2	1	no	—
293	#14581751	—	2	1	no	—
294	#14581751	—	2	1	no	—
295	#14581751	—	2	1	no	—
296	#14581751	C₂³	1	1	yes	characteristic
297	#14581751	C₂³	1	1	yes	characteristic
298	#14581751	C₂³	1	1	yes	characteristic
299	#14581751	C₂³	1	1	yes	characteristic
300	#14581751	C₂³	1	1	yes	characteristic
301	#14581751	C₂³	1	1	yes	characteristic
302	#14581751	C₂³	1	1	yes	characteristic
303	#14581750	—	2	1	no	—
304	#14581749	—	2	1	no	—
305	#14581748	—	2	1	no	—
306	#14581748	—	2	1	no	—
307	C₂×C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
308	C₂×C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
309	C₂×C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
310	C₂×C₄⋊Dic₈₃	C₂³	1	1	yes	characteristic
311	C₂×C₂²⋊Dic₈₃	—	2	1	no	—
312	C₂×C₂²⋊Dic₈₃	—	2	1	no	—
313	C₂×C₄×Dic₈₃	—	2	1	no	—
314	C₂×C₄×Dic₈₃	—	2	1	no	—
315	C₄²×D₈₃	—	2	1	no	—
316	#14581725	C₂³	1	1	yes	characteristic
317	#14581725	C₂³	1	1	yes	characteristic
318	#14581725	C₂³	1	1	yes	characteristic
319	#14581725	C₂³	1	1	yes	characteristic
320	#14581725	C₂³	1	1	yes	characteristic
321	#14581725	C₂³	1	1	yes	characteristic
322	#14581723	C₂³	1	1	yes	characteristic
323	#14581723	C₂³	1	1	yes	characteristic
324	#14581723	C₂³	1	1	yes	characteristic
325	#14581723	C₂³	1	1	yes	characteristic
326	#14581723	C₂³	1	1	yes	characteristic
327	#14581723	C₂³	1	1	yes	characteristic
328	C₄⋊(C₈₃⋊C₈)	C₂³	1	1	yes	characteristic
329	C₄⋊(C₈₃⋊C₈)	C₂³	1	1	yes	characteristic
330	C₄⋊(C₈₃⋊C₈)	C₂³	1	1	yes	characteristic
331	C₄⋊(C₈₃⋊C₈)	C₂³	1	1	yes	characteristic
332	#14581716	C₂³	1	1	yes	characteristic
333	#14581716	C₂³	1	1	yes	characteristic
334	#14581716	C₂³	1	1	yes	characteristic
335	#14581716	C₂³	1	1	yes	characteristic
336	#14581716	C₂³	1	1	yes	characteristic
337	#14581716	C₂³	1	1	yes	characteristic
338	#14581716	C₂³	1	1	yes	characteristic
339	#14581716	C₂³	1	1	yes	characteristic
340	#14581716	C₂³	1	1	yes	characteristic
341	#14581716	C₂³	1	1	yes	characteristic
342	#14581716	C₂³	1	1	yes	characteristic
343	#14581716	C₂³	1	1	yes	characteristic
344	#14581716	C₂³	1	1	yes	characteristic
345	#14581716	C₂³	1	1	yes	characteristic
346	#14581716	C₂³	1	1	yes	characteristic
347	#14581716	C₂³	1	1	yes	characteristic
348	#14581716	C₂³	1	1	yes	characteristic
349	#14581716	C₂³	1	1	yes	characteristic
350	#14581715	C₂³	1	1	yes	characteristic
351	#14581715	C₂³	1	1	yes	characteristic
352	#14581713	C₂³	1	1	yes	characteristic
353	#14581713	C₂³	1	1	yes	characteristic
354	#14581713	C₂³	1	1	yes	characteristic
355	#14581713	C₂³	1	1	yes	characteristic
356	#14581713	C₂³	1	1	yes	characteristic
357	#14581713	C₂³	1	1	yes	characteristic
358	#14581713	C₂³	1	1	yes	characteristic
359	#14581713	C₂³	1	1	yes	characteristic
360	#14581713	C₂³	1	1	yes	characteristic
361	#14581713	C₂³	1	1	yes	characteristic
362	#14581713	C₂³	1	1	yes	characteristic
363	#14581713	C₂³	1	1	yes	characteristic
364	#14581713	C₂³	1	1	yes	characteristic
365	#14581713	C₂³	1	1	yes	characteristic
366	#14581713	C₂³	1	1	yes	characteristic
367	#14581713	C₂³	1	1	yes	characteristic
368	#14581713	C₂³	1	1	yes	characteristic
369	#14581713	C₂³	1	1	yes	characteristic
370	#14581712	C₂³	1	1	yes	characteristic
371	#14581712	C₂³	1	1	yes	characteristic
372	C₂²⋊(C₈₃⋊C₈)	C₂³	1	1	yes	characteristic
373	C₂²⋊(C₈₃⋊C₈)	C₂³	1	1	yes	characteristic
374	C₂²⋊(C₈₃⋊C₈)	C₂³	1	1	yes	characteristic
375	C₂²⋊(C₈₃⋊C₈)	C₂³	1	1	yes	characteristic
376	C₂²⋊(C₈₃⋊C₈)	C₂³	1	1	yes	characteristic
377	C₂²⋊(C₈₃⋊C₈)	C₂³	1	1	yes	characteristic
378	C₂²⋊(C₈₃⋊C₈)	C₂³	1	1	yes	characteristic
379	C₂²⋊(C₈₃⋊C₈)	C₂³	1	1	yes	characteristic
380	#14581703	C₂³	1	1	yes	characteristic
381	#14581703	C₂³	1	1	yes	characteristic
382	#14581703	C₂³	1	1	yes	characteristic
383	#14581703	C₂³	1	1	yes	characteristic
384	C₂×#41×C₈₃	—	2	1	no	—
385	C₂×#41×C₈₃	—	2	1	no	—
386	C₂×#41×C₈₃	—	2	1	no	—
387	C₂×#41×C₈₃	—	2	1	no	—
388	C₂×#41×C₈₃	—	2	4	no	—
389	C₂×#41×C₈₃	—	2	4	no	—
390	C₂×#41×C₈₃	—	4	2	no	—
391	C₂×#41×C₈₃	—	4	2	no	—
392	C₂×#41×C₈₃	C₂³	1	1	yes	characteristic
393	C₂×#41×C₈₃	C₂³	1	1	yes	characteristic
394	C₂×#41×C₈₃	C₂³	1	1	yes	characteristic
395	C₂×#41×C₈₃	C₂³	1	1	yes	characteristic
396	C₂×#41×C₈₃	C₂³	1	1	yes	characteristic
397	C₂×#41×C₈₃	C₂³	1	1	yes	characteristic
398	C₂×#41×C₈₃	C₂³	1	1	yes	characteristic
399	C₂²×Q₈×C₈₃	C₂³	1	1	yes	characteristic
400	C₂²×Q₈×C₈₃	C₂³	1	1	yes	characteristic
401	C₂²×D₄×C₈₃	—	2	1	no	—
402	C₂²×D₄×C₈₃	—	2	1	no	—
403	C₂²×D₄×C₈₃	—	2	1	no	—
404	C₂²×D₄×C₈₃	D₄	1	1	yes	characteristic
405	C₂²×D₄×C₈₃	C₂³	1	1	yes	characteristic
406	C₂²×D₄×C₈₃	C₂³	1	1	yes	characteristic
407	C₂³×C₄×C₈₃	—	2	1	no	—
408	C₂³×C₄×C₈₃	—	2	1	no	—
409	C₂³×C₄×C₈₃	C₂³	1	1	yes	characteristic
410	C₂³×C₄×C₈₃	C₂³	1	1	yes	characteristic
411	C₄⋊Q₈×C₈₃	—	2	1	no	—
412	C₄⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
413	#127×C₈₃	—	2	1	no	—
414	#127×C₈₃	C₂³	1	1	yes	characteristic
415	#124×C₈₃	—	2	1	no	—
416	#124×C₈₃	—	2	1	no	—
417	#124×C₈₃	C₂³	1	1	yes	characteristic
418	#124×C₈₃	C₂³	1	1	yes	characteristic
419	#123×C₈₃	—	2	1	no	—
420	#123×C₈₃	—	2	1	no	—
421	#123×C₈₃	—	2	1	no	—
422	#123×C₈₃	—	2	1	no	—
423	#123×C₈₃	—	2	1	no	—
424	#123×C₈₃	—	2	1	no	—
425	C₂²⋊Q₈×C₈₃	—	2	1	no	—
426	C₂²⋊Q₈×C₈₃	—	2	1	no	—
427	C₂²⋊Q₈×C₈₃	—	2	1	no	—
428	C₂²⋊Q₈×C₈₃	—	2	1	no	—
429	C₂²⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
430	C₂²⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
431	C₂²⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
432	C₂²⋊Q₈×C₈₃	C₂³	1	1	yes	characteristic
433	#121×C₈₃	—	2	1	no	—
434	#121×C₈₃	—	2	1	no	—
435	#121×C₈₃	—	2	1	no	—
436	#121×C₈₃	—	2	1	no	—
437	#121×C₈₃	—	2	1	no	—
438	#121×C₈₃	—	2	1	no	—
439	#121×C₈₃	—	2	1	no	—
440	#121×C₈₃	—	2	1	no	—
441	#121×C₈₃	—	2	1	no	—
442	#121×C₈₃	—	2	1	no	—
443	#121×C₈₃	C₂³	1	1	yes	characteristic
444	#121×C₈₃	C₂³	1	1	yes	characteristic
445	#121×C₈₃	C₂³	1	1	yes	characteristic
446	#121×C₈₃	C₂³	1	1	yes	characteristic
447	#120×C₈₃	—	2	1	no	—
448	#120×C₈₃	—	2	1	no	—
449	#120×C₈₃	—	2	1	no	—
450	#120×C₈₃	—	2	1	no	—
451	#120×C₈₃	—	2	1	no	—
452	#120×C₈₃	—	2	1	no	—
453	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
454	C₄×Q₈×C₈₃	C₂³	1	1	yes	characteristic
455	C₄×D₄×C₈₃	—	2	1	no	—
456	C₄×D₄×C₈₃	—	2	1	no	—
457	C₄×D₄×C₈₃	—	2	1	no	—
458	C₄×D₄×C₈₃	—	2	1	no	—
459	C₄×D₄×C₈₃	—	2	1	no	—
460	C₄×D₄×C₈₃	—	2	1	no	—
461	C₄×D₄×C₈₃	—	2	1	no	—
462	C₄×D₄×C₈₃	—	2	1	no	—
463	C₄×D₄×C₈₃	—	2	1	no	—
464	C₄×D₄×C₈₃	—	2	1	no	—
465	C₄×D₄×C₈₃	—	2	1	no	—
466	C₄×D₄×C₈₃	—	2	1	no	—
467	C₄×D₄×C₈₃	D₄	1	1	yes	characteristic
468	C₄×D₄×C₈₃	D₄	1	1	yes	characteristic
469	C₄×D₄×C₈₃	D₄	1	1	yes	characteristic
470	C₄×D₄×C₈₃	D₄	1	1	yes	characteristic
471	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
472	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
473	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
474	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
475	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
476	C₄×D₄×C₈₃	C₂³	1	1	yes	characteristic
477	#117×C₈₃	—	2	1	no	—
478	#117×C₈₃	C₂³	1	1	yes	characteristic
479	C₂×C₄⋊C₄×C₈₃	—	2	1	no	—
480	C₂×C₄⋊C₄×C₈₃	D₄	1	1	yes	characteristic
481	C₂×C₂²⋊C₄×C₈₃	—	2	1	no	—
482	C₂×C₂²⋊C₄×C₈₃	—	2	1	no	—
483	C₂×C₂²⋊C₄×C₈₃	D₄	1	1	yes	characteristic
484	C₂×C₂²⋊C₄×C₈₃	D₄	1	1	yes	characteristic
485	C₂×C₄²×C₈₃	—	2	1	no	—
486	C₂×C₄²×C₈₃	C₂³	1	1	yes	characteristic
487	#13050590	—	2	2	no	—
488	#13050590	—	2	2	no	—
489	#13050589	—	4	4	no	—
490	C₂×Dic₁₆₆	—	2	1	no	—
491	C₂×Dic₁₆₆	—	2	1	no	—
492	C₂×Dic₁₆₆	C₂⁴	1	1	yes	characteristic
493	C₂×D₃₃₂	C₂⁴	1	1	yes	characteristic
494	C₂×C₂²⋊D₈₃	—	2	1	no	—
495	C₂×C₂²⋊D₈₃	—	2	1	no	—
496	C₂×C₂²⋊D₈₃	—	2	1	no	—
497	C₂×C₂²⋊D₈₃	—	2	1	no	—
498	C₂×C₂²⋊D₈₃	—	2	1	no	—
499	C₂²×Dic₈₃	—	2	1	no	—
500	C₂²×Dic₈₃	—	2	1	no	—
501	C₂²×Dic₈₃	—	2	1	no	—
502	C₂²×Dic₈₃	—	2	1	no	—
503	C₂×C₄×D₈₃	—	2	1	no	—
504	C₂×C₄×D₈₃	—	2	1	no	—
505	C₂×C₄×D₈₃	—	2	1	no	—
506	#13050580	—	2	2	no	—
507	#13050580	—	4	1	no	—
508	#13050580	—	4	1	no	—
509	#13050578	—	2	2	no	—
510	#13050578	—	4	1	no	—
511	#13050578	—	4	1	no	—
512	#13050577	—	2	2	no	—
513	#13050577	—	4	1	no	—
514	#13050577	—	4	1	no	—
515	#13050575	—	2	2	no	—
516	#13050575	—	4	1	no	—
517	#13050575	—	4	1	no	—
518	#13050574	—	4	1	no	—
519	#13050574	—	4	1	no	—
520	#13050574	—	4	1	no	—
521	#13050574	—	4	1	no	—
522	C₂×C₈₃⋊C₈	—	2	2	no	—
523	C₂×C₈₃⋊C₈	—	2	2	no	—
524	C₂×C₈₃⋊C₈	—	2	2	no	—
525	C₂×C₈₃⋊C₈	—	2	2	no	—
526	C₂×C₈₃⋊C₈	—	4	1	no	—
527	C₂×C₈₃⋊C₈	—	4	1	no	—
528	C₂×C₈₃⋊C₈	—	4	1	no	—
529	C₂×C₈₃⋊C₈	—	4	1	no	—
530	C₂×C₈₃⋊C₈	C₂⁴	1	1	yes	characteristic
531	C₂×C₈₃⋊C₈	C₂⁴	1	1	yes	characteristic
532	C₂×C₈₃⋊C₈	C₂⁴	1	1	yes	characteristic
533	C₂×C₈₃⋊C₈	C₂⁴	1	1	yes	characteristic
534	C₂×C₈₃⋊C₈	C₂⁴	1	1	yes	characteristic
535	C₂×C₈₃⋊C₈	C₂⁴	1	1	yes	characteristic
536	C₂×C₈₃⋊C₈	C₂⁴	1	1	yes	characteristic
537	C₂×C₈₃⋊C₈	C₂⁴	1	1	yes	characteristic
538	C₄⋊Dic₈₃	—	2	1	no	—
539	C₄⋊Dic₈₃	—	2	1	no	—
540	C₄⋊Dic₈₃	—	2	1	no	—
541	C₄⋊Dic₈₃	—	2	1	no	—
542	C₄⋊Dic₈₃	—	2	1	no	—
543	C₄⋊Dic₈₃	—	2	1	no	—
544	C₄⋊Dic₈₃	C₂⁴	1	1	yes	characteristic
545	C₄⋊Dic₈₃	C₂⁴	1	1	yes	characteristic
546	C₄⋊Dic₈₃	C₂⁴	1	1	yes	characteristic
547	C₄⋊Dic₈₃	C₂⁴	1	1	yes	characteristic
548	C₄⋊Dic₈₃	C₂⁴	1	1	yes	characteristic
549	C₄⋊Dic₈₃	C₂⁴	1	1	yes	characteristic
550	Dic₈₃⋊C₄	—	2	1	no	—
551	Dic₈₃⋊C₄	—	2	1	no	—
552	Dic₈₃⋊C₄	—	2	1	no	—
553	Dic₈₃⋊C₄	—	2	1	no	—
554	Dic₈₃⋊C₄	—	2	1	no	—
555	Dic₈₃⋊C₄	—	2	1	no	—
556	Dic₈₃⋊C₄	—	2	1	no	—
557	Dic₈₃⋊C₄	—	2	1	no	—
558	Dic₈₃⋊C₄	—	2	1	no	—
559	Dic₈₃⋊C₄	—	2	1	no	—
560	C₂²⋊Dic₈₃	—	2	1	no	—
561	C₂²⋊Dic₈₃	—	2	1	no	—
562	C₂²⋊Dic₈₃	—	2	1	no	—
563	C₂²⋊Dic₈₃	—	2	1	no	—
564	C₂²⋊Dic₈₃	—	2	1	no	—
565	C₂²⋊Dic₈₃	—	2	1	no	—
566	C₂²⋊Dic₈₃	—	2	1	no	—
567	C₂²⋊Dic₈₃	—	2	1	no	—
568	C₂²⋊Dic₈₃	—	2	1	no	—
569	C₂²⋊Dic₈₃	—	2	1	no	—
570	C₂²⋊Dic₈₃	—	2	1	no	—
571	(C₂×D₈₃)⋊C₄	—	2	1	no	—
572	(C₂×D₈₃)⋊C₄	—	2	1	no	—
573	(C₂×D₈₃)⋊C₄	—	2	1	no	—
574	(C₂×D₈₃)⋊C₄	—	2	1	no	—
575	(C₂×D₈₃)⋊C₄	—	2	1	no	—
576	(C₂×D₈₃)⋊C₄	—	2	1	no	—
577	C₄×Dic₈₃	—	2	1	no	—
578	C₄×Dic₈₃	—	2	1	no	—
579	C₄×Dic₈₃	—	2	1	no	—
580	C₄×Dic₈₃	—	2	1	no	—
581	C₄×Dic₈₃	—	2	1	no	—
582	C₄×Dic₈₃	—	2	1	no	—
583	C₄×Dic₈₃	—	2	1	no	—
584	C₄×Dic₈₃	—	2	1	no	—
585	C₄×Dic₈₃	—	2	1	no	—
586	C₂⁴×C₈₃	—	2	1	no	—
587	C₂⁴×C₈₃	—	2	1	no	—
588	C₂⁴×C₈₃	C₂×D₄	1	1	yes	characteristic
589	C₂⁴×C₈₃	C₂×D₄	1	1	yes	characteristic
590	#41×C₈₃	—	2	2	no	—
591	#41×C₈₃	—	2	2	no	—
592	#41×C₈₃	—	2	2	no	—
593	#41×C₈₃	—	2	2	no	—
594	#41×C₈₃	—	2	2	no	—
595	#41×C₈₃	—	2	2	no	—
596	#41×C₈₃	—	2	2	no	—
597	#41×C₈₃	—	2	2	no	—
598	#41×C₈₃	—	2	2	no	—
599	#41×C₈₃	—	4	4	no	—
600	#41×C₈₃	—	4	4	no	—
601	#41×C₈₃	—	4	1	no	—
602	#41×C₈₃	—	4	1	no	—
603	#41×C₈₃	—	4	1	no	—
604	#41×C₈₃	—	4	1	no	—
605	#41×C₈₃	—	4	4	no	—
606	#41×C₈₃	—	4	4	no	—
607	#41×C₈₃	#41	1	4	yes	complemented
608	C₂×Q₈×C₈₃	—	2	1	no	—
609	C₂×Q₈×C₈₃	—	2	1	no	—
610	C₂×Q₈×C₈₃	—	2	2	no	—
611	C₂×Q₈×C₈₃	—	2	2	no	—
612	C₂×Q₈×C₈₃	—	4	1	no	—
613	C₂×Q₈×C₈₃	—	4	1	no	—
614	C₂×Q₈×C₈₃	C₂⁴	1	1	yes	characteristic
615	C₂×Q₈×C₈₃	C₂⁴	1	1	yes	characteristic
616	C₂×Q₈×C₈₃	C₂⁴	1	1	yes	characteristic
617	C₂×D₄×C₈₃	—	2	1	no	—
618	C₂×D₄×C₈₃	—	2	2	no	—
619	C₂×D₄×C₈₃	—	2	2	no	—
620	C₂×D₄×C₈₃	—	2	1	no	—
621	C₂×D₄×C₈₃	—	2	1	no	—
622	C₂×D₄×C₈₃	—	2	1	no	—
623	C₂×D₄×C₈₃	—	2	1	no	—
624	C₂×D₄×C₈₃	—	2	1	no	—
625	C₂×D₄×C₈₃	—	2	1	no	—
626	C₂×D₄×C₈₃	—	2	1	no	—
627	C₂×D₄×C₈₃	—	2	1	no	—
628	C₂×D₄×C₈₃	—	2	1	no	—
629	C₂×D₄×C₈₃	—	2	1	no	—
630	C₂×D₄×C₈₃	—	2	1	no	—
631	C₂×D₄×C₈₃	—	2	1	no	—
632	C₂×D₄×C₈₃	—	2	1	no	—
633	C₂×D₄×C₈₃	—	2	1	no	—
634	C₂×D₄×C₈₃	—	4	1	no	—
635	C₂×D₄×C₈₃	—	4	1	no	—
636	C₂×D₄×C₈₃	—	4	2	no	—
637	C₂×D₄×C₈₃	—	4	4	no	—
638	C₂×D₄×C₈₃	—	4	4	no	—
639	C₂×D₄×C₈₃	—	4	4	no	—
640	C₂×D₄×C₈₃	C₂×D₄	1	1	yes	characteristic
641	C₂×D₄×C₈₃	C₂×D₄	1	1	yes	characteristic
642	C₂×D₄×C₈₃	C₂×D₄	1	1	yes	characteristic
643	C₂×D₄×C₈₃	C₂×D₄	1	1	yes	characteristic
644	C₂×D₄×C₈₃	C₂⁴	1	1	yes	characteristic
645	C₂×D₄×C₈₃	C₂⁴	1	1	yes	characteristic
646	C₂×D₄×C₈₃	C₂⁴	1	1	yes	characteristic
647	C₂²×C₄×C₈₃	—	2	1	no	—
648	C₂²×C₄×C₈₃	—	2	2	no	—
649	C₂²×C₄×C₈₃	—	2	2	no	—
650	C₂²×C₄×C₈₃	—	2	2	no	—
651	C₂²×C₄×C₈₃	—	2	2	no	—
652	C₂²×C₄×C₈₃	—	2	1	no	—
653	C₂²×C₄×C₈₃	—	2	1	no	—
654	C₂²×C₄×C₈₃	—	2	1	no	—
655	C₂²×C₄×C₈₃	—	2	1	no	—
656	C₂²×C₄×C₈₃	—	2	1	no	—
657	C₂²×C₄×C₈₃	—	2	1	no	—
658	C₂²×C₄×C₈₃	—	2	1	no	—
659	C₂²×C₄×C₈₃	—	2	1	no	—
660	C₂²×C₄×C₈₃	—	2	1	no	—
661	C₂²×C₄×C₈₃	—	2	1	no	—
662	C₂²×C₄×C₈₃	—	4	4	no	—
663	C₂²×C₄×C₈₃	—	4	4	no	—
664	C₂²×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
665	C₂²×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
666	C₂²×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
667	C₂²×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
668	C₂²×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
669	C₂²×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
670	C₂²×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
671	C₂²×C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
672	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
673	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
674	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
675	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
676	C₂²×C₄×C₈₃	C₂⁴	1	1	yes	characteristic
677	C₄⋊C₄×C₈₃	—	2	1	no	—
678	C₄⋊C₄×C₈₃	—	2	1	no	—
679	C₄⋊C₄×C₈₃	—	2	1	no	—
680	C₄⋊C₄×C₈₃	—	2	1	no	—
681	C₄⋊C₄×C₈₃	—	2	1	no	—
682	C₄⋊C₄×C₈₃	—	2	1	no	—
683	C₄⋊C₄×C₈₃	—	2	1	no	—
684	C₄⋊C₄×C₈₃	—	2	1	no	—
685	C₄⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
686	C₄⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
687	C₄⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
688	C₄⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
689	C₄⋊C₄×C₈₃	C₂⁴	1	1	yes	characteristic
690	C₄⋊C₄×C₈₃	C₂⁴	1	1	yes	characteristic
691	C₂²⋊C₄×C₈₃	—	2	1	no	—
692	C₂²⋊C₄×C₈₃	—	2	1	no	—
693	C₂²⋊C₄×C₈₃	—	2	1	no	—
694	C₂²⋊C₄×C₈₃	—	2	1	no	—
695	C₂²⋊C₄×C₈₃	—	2	1	no	—
696	C₂²⋊C₄×C₈₃	—	2	1	no	—
697	C₂²⋊C₄×C₈₃	—	2	1	no	—
698	C₂²⋊C₄×C₈₃	—	2	1	no	—
699	C₂²⋊C₄×C₈₃	—	2	1	no	—
700	C₂²⋊C₄×C₈₃	—	2	1	no	—
701	C₂²⋊C₄×C₈₃	—	2	1	no	—
702	C₂²⋊C₄×C₈₃	—	2	1	no	—
703	C₂²⋊C₄×C₈₃	—	2	1	no	—
704	C₂²⋊C₄×C₈₃	—	2	1	no	—
705	C₂²⋊C₄×C₈₃	—	2	1	no	—
706	C₂²⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
707	C₂²⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
708	C₂²⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
709	C₂²⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
710	C₂²⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
711	C₂²⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
712	C₂²⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
713	C₂²⋊C₄×C₈₃	C₂×D₄	1	1	yes	characteristic
714	C₄²×C₈₃	—	2	1	no	—
715	C₄²×C₈₃	—	2	1	no	—
716	C₄²×C₈₃	—	2	1	no	—
717	C₄²×C₈₃	C₂×D₄	1	1	yes	characteristic
718	C₄²×C₈₃	C₂×D₄	1	1	yes	characteristic
719	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
720	C₄²×C₈₃	C₂⁴	1	1	yes	characteristic
721	C₂³×C₈₃	—	2	2	no	—
722	C₂³×C₈₃	—	2	2	no	—
723	C₂³×C₈₃	—	2	1	no	—
724	C₂³×C₈₃	—	2	2	no	—
725	C₂³×C₈₃	—	2	1	no	—
726	C₂³×C₈₃	—	2	1	no	—
727	C₂³×C₈₃	—	4	1	no	—
728	C₂³×C₈₃	—	4	1	no	—
729	C₂³×C₈₃	—	4	1	no	—
730	C₂³×C₈₃	—	4	2	no	—
731	C₂³×C₈₃	—	4	2	no	—
732	C₂³×C₈₃	—	4	2	no	—
733	C₂³×C₈₃	—	4	2	no	—
734	C₂³×C₈₃	—	8	1	no	—
735	C₂³×C₈₃	—	8	1	no	—
736	C₂³×C₈₃	C₂²×D₄	1	1	yes	characteristic
737	C₂³×C₈₃	C₂²×D₄	1	1	yes	characteristic
738	C₂³×C₈₃	C₂²×D₄	1	1	yes	characteristic
739	C₂³×C₈₃	C₂²×D₄	1	1	yes	characteristic
740	C₂³×C₈₃	C₂²×D₄	1	1	yes	characteristic
741	C₂²×D₈₃	—	2	1	no	—
742	Q₈×C₈₃	—	2	1	no	—
743	Q₈×C₈₃	—	2	1	no	—
744	Q₈×C₈₃	—	2	1	no	—
745	Q₈×C₈₃	—	2	1	no	—
746	Q₈×C₈₃	—	2	1	no	—
747	Q₈×C₈₃	—	4	2	no	—
748	Q₈×C₈₃	—	4	2	no	—
749	Q₈×C₈₃	C₂×#41	1	2	yes	—
750	D₄×C₈₃	—	2	4	no	—
751	D₄×C₈₃	—	2	2	no	—
752	D₄×C₈₃	—	2	2	no	—
753	D₄×C₈₃	—	2	1	no	—
754	D₄×C₈₃	—	2	1	no	—
755	D₄×C₈₃	—	2	1	no	—
756	D₄×C₈₃	—	2	1	no	—
757	D₄×C₈₃	—	2	1	no	—
758	D₄×C₈₃	—	4	1	no	—
759	D₄×C₈₃	—	4	1	no	—
760	D₄×C₈₃	—	4	2	no	—
761	D₄×C₈₃	—	4	2	no	—
762	D₄×C₈₃	—	4	2	no	—
763	D₄×C₈₃	—	4	2	no	—
764	D₄×C₈₃	—	4	2	no	—
765	D₄×C₈₃	—	4	2	no	—
766	D₄×C₈₃	—	4	2	no	—
767	D₄×C₈₃	—	4	2	no	—
768	D₄×C₈₃	—	4	2	no	—
769	D₄×C₈₃	—	4	2	no	—
770	D₄×C₈₃	—	4	2	no	—
771	D₄×C₈₃	—	8	1	no	—
772	D₄×C₈₃	—	8	1	no	—
773	D₄×C₈₃	—	8	1	no	—
774	D₄×C₈₃	C₂×#41	1	2	yes	—
775	C₂×C₄×C₈₃	—	2	2	no	—
776	C₂×C₄×C₈₃	—	2	2	no	—
777	C₂×C₄×C₈₃	—	2	1	no	—
778	C₂×C₄×C₈₃	—	2	2	no	—
779	C₂×C₄×C₈₃	—	2	2	no	—
780	C₂×C₄×C₈₃	—	2	2	no	—
781	C₂×C₄×C₈₃	—	2	2	no	—
782	C₂×C₄×C₈₃	—	2	4	no	—
783	C₂×C₄×C₈₃	—	2	1	no	—
784	C₂×C₄×C₈₃	—	2	1	no	—
785	C₂×C₄×C₈₃	—	2	1	no	—
786	C₂×C₄×C₈₃	—	2	1	no	—
787	C₂×C₄×C₈₃	—	2	1	no	—
788	C₂×C₄×C₈₃	—	2	1	no	—
789	C₂×C₄×C₈₃	—	2	1	no	—
790	C₂×C₄×C₈₃	—	2	1	no	—
791	C₂×C₄×C₈₃	—	2	1	no	—
792	C₂×C₄×C₈₃	—	2	1	no	—
793	C₂×C₄×C₈₃	—	2	1	no	—
794	C₂×C₄×C₈₃	—	2	1	no	—
795	C₂×C₄×C₈₃	—	4	1	no	—
796	C₂×C₄×C₈₃	—	4	1	no	—
797	C₂×C₄×C₈₃	—	4	2	no	—
798	C₂×C₄×C₈₃	—	4	2	no	—
799	C₂×C₄×C₈₃	—	4	2	no	—
800	C₂×C₄×C₈₃	—	4	2	no	—
801	C₂×C₄×C₈₃	—	4	2	no	—
802	C₂×C₄×C₈₃	—	4	2	no	—
803	C₂×C₄×C₈₃	—	4	2	no	—
804	C₂×C₄×C₈₃	—	4	2	no	—
805	C₂×C₄×C₈₃	—	4	2	no	—
806	C₂×C₄×C₈₃	—	8	1	no	—
807	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
808	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
809	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
810	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
811	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
812	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
813	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
814	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
815	C₂×C₄×C₈₃	C₂²×D₄	1	1	yes	characteristic
816	C₂×C₄×C₈₃	C₂×#41	1	2	yes	—
817	C₂×C₄×C₈₃	H(5,𝔽₂)	1	2	yes	—
818	C₂×C₄×C₈₃	C₂⁵	1	1	yes	characteristic
819	C₂²⋊D₈₃	—	4	2	no	—
820	C₂²⋊D₈₃	—	4	2	no	—
821	C₂²⋊D₈₃	—	4	2	no	—
822	C₂²⋊D₈₃	—	8	1	no	—
823	C₂²⋊D₈₃	—	8	1	no	—
824	C₂×Dic₈₃	—	2	1	no	—
825	C₂×Dic₈₃	—	2	1	no	—
826	C₂×Dic₈₃	—	2	1	no	—
827	C₂×Dic₈₃	—	2	1	no	—
828	C₂×Dic₈₃	—	2	1	no	—
829	C₂×Dic₈₃	—	2	1	no	—
830	C₂×Dic₈₃	—	2	1	no	—
831	C₂×Dic₈₃	—	4	2	no	—
832	C₂×Dic₈₃	—	4	2	no	—
833	C₂×Dic₈₃	—	8	1	no	—
834	C₂×Dic₈₃	—	8	1	no	—
835	D₃₃₂	—	2	1	no	—
836	D₃₃₂	—	2	1	no	—
837	C₄×D₈₃	—	4	2	no	—
838	C₄×D₈₃	—	4	2	no	—
839	C₄×D₈₃	—	8	1	no	—
840	Dic₁₆₆	—	2	1	no	—
841	Dic₁₆₆	—	2	1	no	—
842	Dic₁₆₆	—	4	2	no	—
843	Dic₁₆₆	—	8	1	no	—
844	C₈₃⋊C₈	—	2	1	no	—
845	C₈₃⋊C₈	—	2	1	no	—
846	C₈₃⋊C₈	—	2	1	no	—
847	C₈₃⋊C₈	—	2	1	no	—
848	C₈₃⋊C₈	—	2	1	no	—
849	C₈₃⋊C₈	—	2	1	no	—
850	C₈₃⋊C₈	—	2	1	no	—
851	C₈₃⋊C₈	—	2	1	no	—
852	C₂²×C₈₃	—	2	1	no	—
853	C₂²×C₈₃	—	2	1	no	—
854	C₂²×C₈₃	—	2	1	no	—
855	C₂²×C₈₃	—	2	1	no	—
856	C₂²×C₈₃	—	2	1	no	—
857	C₂²×C₈₃	—	2	1	no	—
858	C₂²×C₈₃	—	2	1	no	—
859	C₂²×C₈₃	—	2	1	no	—
860	C₂²×C₈₃	—	2	1	no	—
861	C₂²×C₈₃	—	2	1	no	—
862	C₂²×C₈₃	—	2	2	no	—
863	C₂²×C₈₃	—	2	1	no	—
864	C₂²×C₈₃	—	2	1	no	—
865	C₂²×C₈₃	—	2	1	no	—
866	C₂²×C₈₃	—	4	4	no	—
867	C₂²×C₈₃	—	4	1	no	—
868	C₂²×C₈₃	—	4	1	no	—
869	C₂²×C₈₃	—	4	1	no	—
870	C₂²×C₈₃	—	4	1	no	—
871	C₂²×C₈₃	—	4	1	no	—
872	C₂²×C₈₃	—	4	1	no	—
873	C₂²×C₈₃	—	4	1	no	—
874	C₂²×C₈₃	—	4	1	no	—
875	C₂²×C₈₃	—	8	2	no	—
876	C₂²×C₈₃	—	8	4	no	—
877	C₂²×C₈₃	—	8	4	no	—
878	C₂²×C₈₃	#546	1	2	yes	—
879	C₂²×C₈₃	#575	1	2	yes	—
880	C₂²×C₈₃	C₂³×D₄	1	1	yes	characteristic
881	C₂×D₈₃	—	4	1	no	—
882	C₂×D₈₃	—	4	1	no	—
883	C₂×D₈₃	—	4	1	no	—
884	C₄×C₈₃	—	2	1	no	—
885	C₄×C₈₃	—	2	1	no	—
886	C₄×C₈₃	—	2	1	no	—
887	C₄×C₈₃	—	2	1	no	—
888	C₄×C₈₃	—	2	1	no	—
889	C₄×C₈₃	—	2	1	no	—
890	C₄×C₈₃	—	2	2	no	—
891	C₄×C₈₃	—	2	1	no	—
892	C₄×C₈₃	—	2	1	no	—
893	C₄×C₈₃	—	4	1	no	—
894	C₄×C₈₃	—	4	1	no	—
895	C₄×C₈₃	—	4	1	no	—
896	C₄×C₈₃	—	4	1	no	—
897	C₄×C₈₃	#546	1	2	yes	—
898	C₄×C₈₃	C₂²×#41	1	1	yes	characteristic
899	C₄×C₈₃	C₂×H(5,𝔽₂)	1	1	yes	characteristic
900	Dic₈₃	—	4	1	no	—
901	Dic₈₃	—	4	1	no	—
902	Dic₈₃	—	4	1	no	—
903	Dic₈₃	—	4	1	no	—
904	Dic₈₃	—	4	1	no	—
905	Dic₈₃	—	4	1	no	—
906	Dic₈₃	—	4	1	no	—
907	#61141	—	83	1	no	maximal, Sylow
908	C₂×C₈₃	—	2	2	no	—
909	C₂×C₈₃	—	2	2	no	—
910	C₂×C₈₃	—	4	1	no	—
911	C₂×C₈₃	—	4	1	no	—
912	C₂×C₈₃	—	4	1	no	—
913	C₂×C₈₃	—	4	2	no	—
914	C₂×C₈₃	—	8	1	no	—
915	C₂×C₈₃	—	8	1	no	—
916	C₂×C₈₃	C₂×#546	1	1	yes	characteristic
917	C₂×C₈₃	C₂×#575	1	1	yes	characteristic
918	C₂×C₈₃	#3584	1	1	yes	characteristic
919	D₈₃	—	8	1	no	—
920	#3475	—	83	1	no	—
921	D₄×#41	D₈₃	1	1	yes	characteristic, complemented
922	#3321	—	83	1	no	—
923	#3320	—	83	1	no	—
924	#3319	—	83	1	no	—
925	#3318	—	83	1	no	—
926	#3317	—	83	1	no	—
927	#3316	—	83	1	no	—
928	#3315	—	83	1	no	—
929	#3314	—	83	1	no	—
930	#3313	—	83	1	no	—
931	#3312	—	83	1	no	—
932	#3311	—	83	1	no	—
933	#3310	—	83	1	no	—
934	#3309	—	83	1	no	—
935	#3308	—	83	1	no	—
936	#3307	—	83	1	no	—
937	#3306	—	83	1	no	—
938	#3135	—	83	1	no	—
939	#3091	—	83	1	no	—
940	#3091	—	83	1	no	—
941	#3076	—	83	1	no	—
942	#3054	—	83	1	no	—
943	#3050	—	83	1	no	—
944	#3035	—	83	1	no	—
945	#3002	—	83	1	no	—
946	#3002	—	83	1	no	—
947	#2943	—	83	1	no	—
948	C₂×#435	—	83	1	no	—
949	#2896	—	83	1	no	—
950	C₂×#416	—	83	1	no	—
951	C₈₃	#61141	1	1	yes	characteristic, complemented, Sylow
952	C₂²×#41	C₂×D₈₃	1	1	yes	characteristic
953	C₂²×#41	C₂×D₈₃	1	1	yes	characteristic
954	C₂×#135	—	83	1	no	—
955	C₂×#135	—	83	1	no	—
956	C₂×#135	—	83	1	no	—
957	C₂²×M₁₆	—	83	1	no	—
958	C₂³×C₈	—	83	1	no	—
959	#556	—	83	1	no	—
960	#555	—	83	1	no	—
961	#554	—	83	1	no	—
962	#553	—	83	1	no	—
963	#553	—	83	1	no	—
964	#552	—	83	1	no	—
965	#552	—	83	1	no	—
966	#552	—	166	1	no	—
967	#551	—	166	1	no	—
968	#551	—	166	1	no	—
969	#550	C₂×D₈₃	1	1	yes	characteristic
970	D₄×Q₈	C₂×D₈₃	1	1	yes	characteristic
971	#548	C₂×D₈₃	1	1	yes	characteristic
972	#548	C₂×D₈₃	1	1	yes	characteristic
973	#547	—	2	1	no	—
974	#547	—	83	1	no	—
975	#547	C₂×D₈₃	1	1	yes	characteristic
976	#546	—	2	1	no	—
977	#546	—	2	1	no	—
978	#546	—	166	1	no	—
979	#546	C₂×D₈₃	1	1	yes	characteristic
980	#546	C₂×D₈₃	1	1	yes	characteristic
981	D₄²	—	2	1	no	—
982	D₄²	C₂×D₈₃	1	1	yes	characteristic
983	#533	—	83	1	no	—
984	#532	—	2	1	no	—
985	#532	C₂×D₈₃	1	1	yes	characteristic
986	#529	—	166	1	no	—
987	#529	—	166	1	no	—
988	#529	—	166	1	no	—
989	#525	—	2	1	no	—
990	#525	—	2	1	no	—
991	#525	—	83	1	no	—
992	#525	—	83	1	no	—
993	#525	C₂×D₈₃	1	1	yes	characteristic
994	#525	C₂×D₈₃	1	1	yes	characteristic
995	C₄×#41	—	83	1	no	—
996	C₄×#41	—	166	1	no	—
997	C₄×#41	C₂×D₈₃	1	1	yes	characteristic
998	C₂×C₄×D₄	—	2	1	no	—
999	C₂×C₄×D₄	C₂×D₈₃	1	1	yes	characteristic
1000	C₂×#117	—	83	1	no	—
1001	C₂×#117	—	83	1	no	—
1002	#491	—	83	1	no	—
1003	#491	—	83	1	no	—
1004	#490	—	83	1	no	—
1005	#490	—	83	1	no	—
1006	#489	—	83	1	no	—
1007	#489	—	83	1	no	—
1008	#489	—	83	1	no	—
1009	#489	—	83	1	no	—
1010	#485	—	83	1	no	—
1011	#485	—	83	1	no	—
1012	#485	—	83	1	no	—
1013	#485	—	83	1	no	—
1014	#484	—	83	1	no	—
1015	#484	—	83	1	no	—
1016	#483	—	83	1	no	—
1017	#483	—	83	1	no	—
1018	#482	—	83	1	no	—
1019	#482	—	83	1	no	—
1020	#482	—	83	1	no	—
1021	#482	—	83	1	no	—
1022	#481	—	83	1	no	—
1023	#481	—	83	1	no	—
1024	#480	—	83	1	no	—
1025	#480	—	83	1	no	—
1026	#479	—	83	1	no	—
1027	#479	—	83	1	no	—
1028	#478	—	83	1	no	—
1029	#478	—	83	1	no	—
1030	#477	—	83	1	no	—
1031	#476	—	83	1	no	—
1032	#475	—	83	1	no	—
1033	#474	—	83	1	no	—
1034	#470	—	83	1	no	—
1035	#470	—	83	1	no	—
1036	#469	—	83	1	no	—
1037	#469	—	83	1	no	—
1038	#468	—	83	1	no	—
1039	#468	—	83	1	no	—
1040	#468	—	83	1	no	—
1041	#468	—	83	1	no	—
1042	#467	—	83	1	no	—
1043	#467	—	83	1	no	—
1044	#466	—	83	1	no	—
1045	#466	—	83	1	no	—
1046	#465	—	83	1	no	—
1047	#465	—	83	1	no	—
1048	#465	—	83	1	no	—
1049	#465	—	83	1	no	—
1050	#464	—	83	1	no	—
1051	#464	—	83	1	no	—
1052	#463	—	83	1	no	—
1053	#463	—	83	1	no	—
1054	#462	—	83	1	no	—
1055	#461	—	83	1	no	—
1056	#460	—	83	1	no	—
1057	#459	—	83	1	no	—
1058	#452	—	83	1	no	—
1059	#452	—	83	1	no	—
1060	#452	—	83	1	no	—
1061	#452	—	83	1	no	—
1062	#451	—	83	1	no	—
1063	#451	—	83	1	no	—
1064	#450	—	83	1	no	—
1065	#450	—	83	1	no	—
1066	#449	—	83	1	no	—
1067	#449	—	83	1	no	—
1068	#449	—	83	1	no	—
1069	#449	—	83	1	no	—
1070	#448	—	83	1	no	—
1071	#448	—	83	1	no	—
1072	#447	—	83	1	no	—
1073	#447	—	83	1	no	—
1074	#442	—	83	1	no	—
1075	#442	—	83	1	no	—
1076	#441	—	83	1	no	—
1077	#441	—	83	1	no	—
1078	#440	—	83	1	no	—
1079	#440	—	83	1	no	—
1080	#440	—	83	1	no	—
1081	#440	—	83	1	no	—
1082	#435	—	83	1	no	—
1083	#435	—	83	1	no	—
1084	#435	—	83	1	no	—
1085	#435	—	83	1	no	—
1086	#435	—	83	1	no	—
1087	#435	—	83	1	no	—
1088	#435	—	83	1	no	—
1089	#435	—	83	1	no	—
1090	#427	—	83	1	no	—
1091	#427	—	83	1	no	—
1092	#427	—	83	1	no	—
1093	C₂×C₄⋊C₈	—	83	1	no	—
1094	#419	—	83	1	no	—
1095	#419	—	83	1	no	—
1096	#418	—	83	1	no	—
1097	#418	—	83	1	no	—
1098	#417	—	83	1	no	—
1099	#417	—	83	1	no	—
1100	#417	—	83	1	no	—
1101	#417	—	83	1	no	—
1102	#416	—	83	1	no	—
1103	#416	—	83	1	no	—
1104	#416	—	83	1	no	—
1105	#416	—	83	1	no	—
1106	#416	—	83	1	no	—
1107	#416	—	83	1	no	—
1108	#416	—	83	1	no	—
1109	#416	—	83	1	no	—
1110	#416	—	83	1	no	—
1111	#416	—	83	1	no	—
1112	#416	—	83	1	no	—
1113	#416	—	83	1	no	—
1114	#416	—	83	1	no	—
1115	#416	—	83	1	no	—
1116	C₂×#103	—	83	1	no	—
1117	C₂×#103	—	83	1	no	—
1118	C₂×#102	—	83	1	no	—
1119	C₂×#102	—	83	1	no	—
1120	C₂×C₂²⋊C₈	—	83	1	no	—
1121	C₂×C₂²⋊C₈	—	83	1	no	—
1122	C₂×#97	—	83	1	no	—
1123	C₂×#41	—	2	1	no	—
1124	C₂×#41	—	2	1	no	—
1125	C₂×#41	—	2	1	no	—
1126	C₂×#41	—	2	1	no	—
1127	C₂×#41	—	2	4	no	—
1128	C₂×#41	—	2	4	no	—
1129	C₂×#41	—	4	2	no	—
1130	C₂×#41	—	4	2	no	—
1131	C₂×#41	—	83	1	no	—
1132	C₂×#41	—	166	1	no	—
1133	C₂×#41	C₂²×D₈₃	1	1	yes	characteristic
1134	C₂×#41	C₂²×D₈₃	1	1	yes	characteristic
1135	C₂×#41	C₂²×D₈₃	1	1	yes	characteristic
1136	C₂×#41	C₂²×D₈₃	1	1	yes	characteristic
1137	C₂×#41	C₂²×D₈₃	1	1	yes	characteristic
1138	C₂×#41	C₂²×D₈₃	1	1	yes	characteristic
1139	C₂×#41	C₂²×D₈₃	1	1	yes	characteristic
1140	C₂²×Q₈	C₂²×D₈₃	1	1	yes	characteristic
1141	C₂²×Q₈	C₂²×D₈₃	1	1	yes	characteristic
1142	C₂²×D₄	—	2	1	no	—
1143	C₂²×D₄	—	2	1	no	—
1144	C₂²×D₄	—	2	1	no	—
1145	C₂²×D₄	C₂²⋊D₈₃	1	1	yes	characteristic
1146	C₂²×D₄	C₂²×D₈₃	1	1	yes	characteristic
1147	C₂²×D₄	C₂²×D₈₃	1	1	yes	characteristic
1148	C₂³×C₄	—	2	1	no	—
1149	C₂³×C₄	—	2	1	no	—
1150	C₂³×C₄	C₂²×D₈₃	1	1	yes	characteristic
1151	C₂³×C₄	C₂²×D₈₃	1	1	yes	characteristic
1152	#135	—	332	2	no	—
1153	#135	—	332	2	no	—
1154	#135	—	166	4	no	—
1155	C₂×Q₁₆	—	83	1	no	—
1156	C₂×Q₁₆	—	83	1	no	—
1157	C₂×Q₁₆	—	83	1	no	—
1158	C₂×SD₁₆	—	83	1	no	—
1159	C₂×SD₁₆	—	83	1	no	—
1160	C₂×SD₁₆	—	83	1	no	—
1161	C₂×SD₁₆	—	83	1	no	—
1162	C₂×SD₁₆	—	83	1	no	—
1163	C₂×SD₁₆	—	83	1	no	—
1164	C₂×D₈	—	83	1	no	—
1165	C₂×D₈	—	83	1	no	—
1166	C₂×D₈	—	83	1	no	—
1167	C₂×M₁₆	—	332	2	no	—
1168	C₂×M₁₆	—	83	1	no	—
1169	C₂×M₁₆	—	83	1	no	—
1170	C₂×M₁₆	—	83	1	no	—
1171	C₂×M₁₆	—	83	1	no	—
1172	C₂²×C₈	—	332	2	no	—
1173	C₂²×C₈	—	83	1	no	—
1174	C₂²×C₈	—	83	1	no	—
1175	C₂²×C₈	—	83	1	no	—
1176	C₂²×C₈	—	83	1	no	—
1177	C₂²×C₈	—	83	1	no	—
1178	C₂²×C₈	—	83	1	no	—
1179	C₂²×C₈	—	83	1	no	—
1180	C₂²×C₈	—	83	1	no	—
1181	C₄⋊Q₈	—	2	1	no	—
1182	C₄⋊Q₈	—	83	1	no	—
1183	C₄⋊Q₈	—	83	1	no	—
1184	C₄⋊Q₈	C₂²×D₈₃	1	1	yes	characteristic
1185	#127	—	2	1	no	—
1186	#127	C₂²×D₈₃	1	1	yes	characteristic
1187	#126	—	166	1	no	—
1188	#126	—	166	1	no	—
1189	#126	—	166	1	no	—
1190	#126	—	166	1	no	—
1191	#126	—	166	1	no	—
1192	#126	—	166	1	no	—
1193	#125	—	83	1	no	—
1194	#125	—	83	1	no	—
1195	#125	—	166	1	no	—
1196	#125	—	166	1	no	—
1197	#125	—	166	1	no	—
1198	#124	—	2	1	no	—
1199	#124	—	2	1	no	—
1200	#124	—	166	1	no	—
1201	#124	—	166	1	no	—
1202	#124	—	166	1	no	—
1203	#124	C₂²×D₈₃	1	1	yes	characteristic
1204	#124	C₂²×D₈₃	1	1	yes	characteristic
1205	#123	—	2	1	no	—
1206	#123	—	2	1	no	—
1207	#123	—	2	1	no	—
1208	#123	—	2	1	no	—
1209	#123	—	2	1	no	—
1210	#123	—	2	1	no	—
1211	#123	—	166	1	no	—
1212	#123	—	166	1	no	—
1213	#123	—	166	1	no	—
1214	#123	—	166	1	no	—
1215	#123	—	166	1	no	—
1216	#123	—	166	1	no	—
1217	#123	—	166	1	no	—
1218	#123	—	166	1	no	—
1219	C₂²⋊Q₈	—	2	1	no	—
1220	C₂²⋊Q₈	—	2	1	no	—
1221	C₂²⋊Q₈	—	2	1	no	—
1222	C₂²⋊Q₈	—	2	1	no	—
1223	C₂²⋊Q₈	—	83	1	no	—
1224	C₂²⋊Q₈	—	83	1	no	—
1225	C₂²⋊Q₈	—	83	1	no	—
1226	C₂²⋊Q₈	—	83	1	no	—
1227	C₂²⋊Q₈	—	166	1	no	—
1228	C₂²⋊Q₈	—	166	1	no	—
1229	C₂²⋊Q₈	—	166	1	no	—
1230	C₂²⋊Q₈	—	166	1	no	—
1231	C₂²⋊Q₈	—	166	1	no	—
1232	C₂²⋊Q₈	C₂²×D₈₃	1	1	yes	characteristic
1233	C₂²⋊Q₈	C₂²×D₈₃	1	1	yes	characteristic
1234	C₂²⋊Q₈	C₂²×D₈₃	1	1	yes	characteristic
1235	C₂²⋊Q₈	C₂²×D₈₃	1	1	yes	characteristic
1236	#121	—	2	1	no	—
1237	#121	—	2	1	no	—
1238	#121	—	2	1	no	—
1239	#121	—	2	1	no	—
1240	#121	—	2	1	no	—
1241	#121	—	2	1	no	—
1242	#121	—	2	1	no	—
1243	#121	—	2	1	no	—
1244	#121	—	2	1	no	—
1245	#121	—	2	1	no	—
1246	#121	—	83	1	no	—
1247	#121	—	83	1	no	—
1248	#121	—	83	1	no	—
1249	#121	—	83	1	no	—
1250	#121	—	166	1	no	—
1251	#121	—	166	1	no	—
1252	#121	—	166	1	no	—
1253	#121	C₂²×D₈₃	1	1	yes	characteristic
1254	#121	C₂²×D₈₃	1	1	yes	characteristic
1255	#121	C₂²×D₈₃	1	1	yes	characteristic
1256	#121	C₂²×D₈₃	1	1	yes	characteristic
1257	#120	—	2	1	no	—
1258	#120	—	2	1	no	—
1259	#120	—	2	1	no	—
1260	#120	—	2	1	no	—
1261	#120	—	2	1	no	—
1262	#120	—	2	1	no	—
1263	#120	—	166	1	no	—
1264	#120	—	166	1	no	—
1265	C₄×Q₈	—	83	1	no	—
1266	C₄×Q₈	—	83	1	no	—
1267	C₄×Q₈	—	166	1	no	—
1268	C₄×Q₈	—	166	1	no	—
1269	C₄×Q₈	—	166	1	no	—
1270	C₄×Q₈	C₂²×D₈₃	1	1	yes	characteristic
1271	C₄×Q₈	C₂²×D₈₃	1	1	yes	characteristic
1272	C₄×D₄	—	2	1	no	—
1273	C₄×D₄	—	2	1	no	—
1274	C₄×D₄	—	2	1	no	—
1275	C₄×D₄	—	2	1	no	—
1276	C₄×D₄	—	2	1	no	—
1277	C₄×D₄	—	2	1	no	—
1278	C₄×D₄	—	2	1	no	—
1279	C₄×D₄	—	2	1	no	—
1280	C₄×D₄	—	2	1	no	—
1281	C₄×D₄	—	2	1	no	—
1282	C₄×D₄	—	2	1	no	—
1283	C₄×D₄	—	2	1	no	—
1284	C₄×D₄	—	83	1	no	—
1285	C₄×D₄	—	83	1	no	—
1286	C₄×D₄	—	166	1	no	—
1287	C₄×D₄	—	166	1	no	—
1288	C₄×D₄	—	166	1	no	—
1289	C₄×D₄	—	166	1	no	—
1290	C₄×D₄	—	166	1	no	—
1291	C₄×D₄	—	166	1	no	—
1292	C₄×D₄	—	166	1	no	—
1293	C₄×D₄	—	166	1	no	—
1294	C₄×D₄	—	166	1	no	—
1295	C₄×D₄	C₂²⋊D₈₃	1	1	yes	characteristic
1296	C₄×D₄	C₂²⋊D₈₃	1	1	yes	characteristic
1297	C₄×D₄	C₂²⋊D₈₃	1	1	yes	characteristic
1298	C₄×D₄	C₂²⋊D₈₃	1	1	yes	characteristic
1299	C₄×D₄	C₂²×D₈₃	1	1	yes	characteristic
1300	C₄×D₄	C₂²×D₈₃	1	1	yes	characteristic
1301	C₄×D₄	C₂²×D₈₃	1	1	yes	characteristic
1302	C₄×D₄	C₂²×D₈₃	1	1	yes	characteristic
1303	C₄×D₄	C₂²×D₈₃	1	1	yes	characteristic
1304	C₄×D₄	C₂²×D₈₃	1	1	yes	characteristic
1305	#117	—	2	1	no	—
1306	#117	—	83	1	no	—
1307	#117	—	83	1	no	—
1308	#117	—	83	1	no	—
1309	#117	—	83	1	no	—
1310	#117	—	83	1	no	—
1311	#117	—	83	1	no	—
1312	#117	—	83	1	no	—
1313	#117	—	166	1	no	—
1314	#117	—	166	1	no	—
1315	#117	—	166	1	no	—
1316	#117	—	166	1	no	—
1317	#117	—	166	1	no	—
1318	#117	—	166	1	no	—
1319	#117	—	166	1	no	—
1320	#117	—	166	1	no	—
1321	#117	C₂²×D₈₃	1	1	yes	characteristic
1322	C₂×C₄⋊C₄	—	2	1	no	—
1323	C₂×C₄⋊C₄	—	83	1	no	—
1324	C₂×C₄⋊C₄	—	83	1	no	—
1325	C₂×C₄⋊C₄	—	83	1	no	—
1326	C₂×C₄⋊C₄	—	83	1	no	—
1327	C₂×C₄⋊C₄	C₂²⋊D₈₃	1	1	yes	characteristic
1328	C₂×C₂²⋊C₄	—	2	1	no	—
1329	C₂×C₂²⋊C₄	—	2	1	no	—
1330	C₂×C₂²⋊C₄	—	166	1	no	—
1331	C₂×C₂²⋊C₄	—	166	1	no	—
1332	C₂×C₂²⋊C₄	C₂²⋊D₈₃	1	1	yes	characteristic
1333	C₂×C₂²⋊C₄	C₂²⋊D₈₃	1	1	yes	characteristic
1334	C₂×C₄²	—	2	1	no	—
1335	C₂×C₄²	—	166	1	no	—
1336	C₂×C₄²	—	166	1	no	—
1337	C₂×C₄²	—	166	1	no	—
1338	C₂×C₄²	C₂²×D₈₃	1	1	yes	characteristic
1339	#107	—	83	1	no	—
1340	#107	—	83	1	no	—
1341	#107	—	83	1	no	—
1342	#107	—	83	1	no	—
1343	#107	—	83	1	no	—
1344	#107	—	83	1	no	—
1345	#106	—	83	1	no	—
1346	#106	—	83	1	no	—
1347	#106	—	83	1	no	—
1348	#106	—	83	1	no	—
1349	#106	—	83	1	no	—
1350	#106	—	83	1	no	—
1351	C₄⋊C₈	—	83	1	no	—
1352	C₄⋊C₈	—	83	1	no	—
1353	C₄⋊C₈	—	83	1	no	—
1354	C₄⋊C₈	—	83	1	no	—
1355	#103	—	83	1	no	—
1356	#103	—	83	1	no	—
1357	#103	—	83	1	no	—
1358	#103	—	83	1	no	—
1359	#103	—	83	1	no	—
1360	#103	—	83	1	no	—
1361	#103	—	83	1	no	—
1362	#103	—	83	1	no	—
1363	#103	—	83	1	no	—
1364	#103	—	83	1	no	—
1365	#103	—	83	1	no	—
1366	#103	—	83	1	no	—
1367	#103	—	83	1	no	—
1368	#103	—	83	1	no	—
1369	#103	—	83	1	no	—
1370	#103	—	83	1	no	—
1371	#103	—	83	1	no	—
1372	#103	—	83	1	no	—
1373	#103	—	83	1	no	—
1374	#103	—	83	1	no	—
1375	#102	—	83	1	no	—
1376	#102	—	83	1	no	—
1377	#102	—	83	1	no	—
1378	#102	—	83	1	no	—
1379	#102	—	83	1	no	—
1380	#102	—	83	1	no	—
1381	#102	—	83	1	no	—
1382	#102	—	83	1	no	—
1383	#102	—	83	1	no	—
1384	#102	—	83	1	no	—
1385	#102	—	83	1	no	—
1386	#102	—	83	1	no	—
1387	#102	—	83	1	no	—
1388	#102	—	83	1	no	—
1389	#102	—	83	1	no	—
1390	#102	—	83	1	no	—
1391	#102	—	83	1	no	—
1392	#102	—	83	1	no	—
1393	#102	—	83	1	no	—
1394	#102	—	83	1	no	—
1395	C₂²⋊C₈	—	83	1	no	—
1396	C₂²⋊C₈	—	83	1	no	—
1397	C₂²⋊C₈	—	83	1	no	—
1398	C₂²⋊C₈	—	83	1	no	—
1399	C₂²⋊C₈	—	83	1	no	—
1400	C₂²⋊C₈	—	83	1	no	—
1401	C₂²⋊C₈	—	83	1	no	—
1402	C₂²⋊C₈	—	83	1	no	—
1403	#97	—	83	1	no	—
1404	#97	—	83	1	no	—
1405	#97	—	83	1	no	—
1406	#97	—	83	1	no	—
1407	C₂⁴	—	2	1	no	—
1408	C₂⁴	—	2	1	no	—
1409	C₂⁴	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1410	C₂⁴	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1411	#41	—	2	2	no	—
1412	#41	—	2	2	no	—
1413	#41	—	2	2	no	—
1414	#41	—	2	2	no	—
1415	#41	—	2	2	no	—
1416	#41	—	2	2	no	—
1417	#41	—	2	2	no	—
1418	#41	—	2	2	no	—
1419	#41	—	2	2	no	—
1420	#41	—	4	4	no	—
1421	#41	—	4	4	no	—
1422	#41	—	4	1	no	—
1423	#41	—	4	1	no	—
1424	#41	—	4	1	no	—
1425	#41	—	4	1	no	—
1426	#41	—	4	4	no	—
1427	#41	—	4	4	no	—
1428	#41	—	332	4	no	—
1429	#41	—	166	2	no	—
1430	#41	—	166	2	no	—
1431	#41	#13050589	1	4	yes	complemented
1432	C₂×Q₈	—	2	1	no	—
1433	C₂×Q₈	—	2	1	no	—
1434	C₂×Q₈	—	2	2	no	—
1435	C₂×Q₈	—	2	2	no	—
1436	C₂×Q₈	—	4	1	no	—
1437	C₂×Q₈	—	4	1	no	—
1438	C₂×Q₈	—	83	1	no	—
1439	C₂×Q₈	—	166	1	no	—
1440	C₂×Q₈	—	166	1	no	—
1441	C₂×Q₈	C₂³×D₈₃	1	1	yes	characteristic
1442	C₂×Q₈	C₂³×D₈₃	1	1	yes	characteristic
1443	C₂×Q₈	C₂³×D₈₃	1	1	yes	characteristic
1444	C₂×D₄	—	2	1	no	—
1445	C₂×D₄	—	2	2	no	—
1446	C₂×D₄	—	2	2	no	—
1447	C₂×D₄	—	2	1	no	—
1448	C₂×D₄	—	2	1	no	—
1449	C₂×D₄	—	2	1	no	—
1450	C₂×D₄	—	2	1	no	—
1451	C₂×D₄	—	2	1	no	—
1452	C₂×D₄	—	2	1	no	—
1453	C₂×D₄	—	2	1	no	—
1454	C₂×D₄	—	2	1	no	—
1455	C₂×D₄	—	2	1	no	—
1456	C₂×D₄	—	2	1	no	—
1457	C₂×D₄	—	2	1	no	—
1458	C₂×D₄	—	2	1	no	—
1459	C₂×D₄	—	2	1	no	—
1460	C₂×D₄	—	2	1	no	—
1461	C₂×D₄	—	4	1	no	—
1462	C₂×D₄	—	4	1	no	—
1463	C₂×D₄	—	4	2	no	—
1464	C₂×D₄	—	4	4	no	—
1465	C₂×D₄	—	4	4	no	—
1466	C₂×D₄	—	4	4	no	—
1467	C₂×D₄	—	83	1	no	—
1468	C₂×D₄	—	166	1	no	—
1469	C₂×D₄	—	166	1	no	—
1470	C₂×D₄	—	166	1	no	—
1471	C₂×D₄	—	166	1	no	—
1472	C₂×D₄	—	166	1	no	—
1473	C₂×D₄	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1474	C₂×D₄	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1475	C₂×D₄	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1476	C₂×D₄	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1477	C₂×D₄	C₂³×D₈₃	1	1	yes	characteristic
1478	C₂×D₄	C₂³×D₈₃	1	1	yes	characteristic
1479	C₂×D₄	C₂³×D₈₃	1	1	yes	characteristic
1480	C₂²×C₄	—	2	1	no	—
1481	C₂²×C₄	—	2	2	no	—
1482	C₂²×C₄	—	2	2	no	—
1483	C₂²×C₄	—	2	2	no	—
1484	C₂²×C₄	—	2	2	no	—
1485	C₂²×C₄	—	2	1	no	—
1486	C₂²×C₄	—	2	1	no	—
1487	C₂²×C₄	—	2	1	no	—
1488	C₂²×C₄	—	2	1	no	—
1489	C₂²×C₄	—	2	1	no	—
1490	C₂²×C₄	—	2	1	no	—
1491	C₂²×C₄	—	2	1	no	—
1492	C₂²×C₄	—	2	1	no	—
1493	C₂²×C₄	—	2	1	no	—
1494	C₂²×C₄	—	2	1	no	—
1495	C₂²×C₄	—	4	4	no	—
1496	C₂²×C₄	—	4	4	no	—
1497	C₂²×C₄	—	166	1	no	—
1498	C₂²×C₄	—	166	1	no	—
1499	C₂²×C₄	—	166	1	no	—
1500	C₂²×C₄	—	166	1	no	—
1501	C₂²×C₄	—	166	1	no	—
1502	C₂²×C₄	—	166	1	no	—
1503	C₂²×C₄	—	166	1	no	—
1504	C₂²×C₄	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1505	C₂²×C₄	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1506	C₂²×C₄	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1507	C₂²×C₄	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1508	C₂²×C₄	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1509	C₂²×C₄	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1510	C₂²×C₄	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1511	C₂²×C₄	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1512	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1513	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1514	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1515	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1516	C₂²×C₄	C₂³×D₈₃	1	1	yes	characteristic
1517	Q₁₆	—	332	1	no	—
1518	Q₁₆	—	332	1	no	—
1519	Q₁₆	—	166	2	no	—
1520	SD₁₆	—	332	1	no	—
1521	SD₁₆	—	332	1	no	—
1522	SD₁₆	—	332	1	no	—
1523	SD₁₆	—	332	1	no	—
1524	SD₁₆	—	166	2	no	—
1525	SD₁₆	—	166	2	no	—
1526	D₈	—	332	1	no	—
1527	D₈	—	332	1	no	—
1528	D₈	—	166	2	no	—
1529	M₁₆	—	332	1	no	—
1530	M₁₆	—	332	1	no	—
1531	M₁₆	—	332	1	no	—
1532	M₁₆	—	332	1	no	—
1533	C₂×C₈	—	332	1	no	—
1534	C₂×C₈	—	332	1	no	—
1535	C₂×C₈	—	332	1	no	—
1536	C₂×C₈	—	332	1	no	—
1537	C₂×C₈	—	83	1	no	—
1538	C₂×C₈	—	83	1	no	—
1539	C₂×C₈	—	83	1	no	—
1540	C₂×C₈	—	83	1	no	—
1541	C₂×C₈	—	83	1	no	—
1542	C₂×C₈	—	83	1	no	—
1543	C₂×C₈	—	83	1	no	—
1544	C₂×C₈	—	83	1	no	—
1545	C₂×C₈	—	166	2	no	—
1546	C₂×C₈	—	166	2	no	—
1547	C₂×C₈	—	166	2	no	—
1548	C₂×C₈	—	166	2	no	—
1549	C₄⋊C₄	—	2	1	no	—
1550	C₄⋊C₄	—	2	1	no	—
1551	C₄⋊C₄	—	2	1	no	—
1552	C₄⋊C₄	—	2	1	no	—
1553	C₄⋊C₄	—	2	1	no	—
1554	C₄⋊C₄	—	2	1	no	—
1555	C₄⋊C₄	—	2	1	no	—
1556	C₄⋊C₄	—	2	1	no	—
1557	C₄⋊C₄	—	83	1	no	—
1558	C₄⋊C₄	—	83	1	no	—
1559	C₄⋊C₄	—	83	1	no	—
1560	C₄⋊C₄	—	83	1	no	—
1561	C₄⋊C₄	—	83	1	no	—
1562	C₄⋊C₄	—	83	1	no	—
1563	C₄⋊C₄	—	166	1	no	—
1564	C₄⋊C₄	—	166	1	no	—
1565	C₄⋊C₄	—	166	1	no	—
1566	C₄⋊C₄	—	166	1	no	—
1567	C₄⋊C₄	—	166	1	no	—
1568	C₄⋊C₄	—	166	1	no	—
1569	C₄⋊C₄	—	166	1	no	—
1570	C₄⋊C₄	—	166	1	no	—
1571	C₄⋊C₄	—	166	1	no	—
1572	C₄⋊C₄	—	166	1	no	—
1573	C₄⋊C₄	—	166	1	no	—
1574	C₄⋊C₄	—	166	1	no	—
1575	C₄⋊C₄	—	166	1	no	—
1576	C₄⋊C₄	—	166	1	no	—
1577	C₄⋊C₄	—	166	1	no	—
1578	C₄⋊C₄	—	166	1	no	—
1579	C₄⋊C₄	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1580	C₄⋊C₄	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1581	C₄⋊C₄	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1582	C₄⋊C₄	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1583	C₄⋊C₄	C₂³×D₈₃	1	1	yes	characteristic
1584	C₄⋊C₄	C₂³×D₈₃	1	1	yes	characteristic
1585	C₂²⋊C₄	—	2	1	no	—
1586	C₂²⋊C₄	—	2	1	no	—
1587	C₂²⋊C₄	—	2	1	no	—
1588	C₂²⋊C₄	—	2	1	no	—
1589	C₂²⋊C₄	—	2	1	no	—
1590	C₂²⋊C₄	—	2	1	no	—
1591	C₂²⋊C₄	—	2	1	no	—
1592	C₂²⋊C₄	—	2	1	no	—
1593	C₂²⋊C₄	—	2	1	no	—
1594	C₂²⋊C₄	—	2	1	no	—
1595	C₂²⋊C₄	—	2	1	no	—
1596	C₂²⋊C₄	—	2	1	no	—
1597	C₂²⋊C₄	—	2	1	no	—
1598	C₂²⋊C₄	—	2	1	no	—
1599	C₂²⋊C₄	—	2	1	no	—
1600	C₂²⋊C₄	—	166	1	no	—
1601	C₂²⋊C₄	—	166	1	no	—
1602	C₂²⋊C₄	—	166	1	no	—
1603	C₂²⋊C₄	—	166	1	no	—
1604	C₂²⋊C₄	—	166	1	no	—
1605	C₂²⋊C₄	—	166	1	no	—
1606	C₂²⋊C₄	—	166	1	no	—
1607	C₂²⋊C₄	—	166	1	no	—
1608	C₂²⋊C₄	—	166	1	no	—
1609	C₂²⋊C₄	—	166	1	no	—
1610	C₂²⋊C₄	—	166	1	no	—
1611	C₂²⋊C₄	—	166	1	no	—
1612	C₂²⋊C₄	—	166	1	no	—
1613	C₂²⋊C₄	—	166	1	no	—
1614	C₂²⋊C₄	—	166	1	no	—
1615	C₂²⋊C₄	—	166	1	no	—
1616	C₂²⋊C₄	—	166	1	no	—
1617	C₂²⋊C₄	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1618	C₂²⋊C₄	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1619	C₂²⋊C₄	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1620	C₂²⋊C₄	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1621	C₂²⋊C₄	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1622	C₂²⋊C₄	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1623	C₂²⋊C₄	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1624	C₂²⋊C₄	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1625	C₄²	—	2	1	no	—
1626	C₄²	—	2	1	no	—
1627	C₄²	—	2	1	no	—
1628	C₄²	—	166	1	no	—
1629	C₄²	—	166	1	no	—
1630	C₄²	—	166	1	no	—
1631	C₄²	—	166	1	no	—
1632	C₄²	—	166	1	no	—
1633	C₄²	—	166	1	no	—
1634	C₄²	—	166	1	no	—
1635	C₄²	—	166	1	no	—
1636	C₄²	—	166	1	no	—
1637	C₄²	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1638	C₄²	C₂×C₂²⋊D₈₃	1	1	yes	characteristic
1639	C₄²	C₂³×D₈₃	1	1	yes	characteristic
1640	C₄²	C₂³×D₈₃	1	1	yes	characteristic
1641	C₂³	—	2	2	no	—
1642	C₂³	—	2	2	no	—
1643	C₂³	—	2	1	no	—
1644	C₂³	—	2	2	no	—
1645	C₂³	—	2	1	no	—
1646	C₂³	—	2	1	no	—
1647	C₂³	—	4	1	no	—
1648	C₂³	—	4	1	no	—
1649	C₂³	—	4	1	no	—
1650	C₂³	—	4	2	no	—
1651	C₂³	—	4	2	no	—
1652	C₂³	—	4	2	no	—
1653	C₂³	—	4	2	no	—
1654	C₂³	—	8	1	no	—
1655	C₂³	—	8	1	no	—
1656	C₂³	—	166	1	no	—
1657	C₂³	C₂²×C₂²⋊D₈₃	1	1	yes	characteristic
1658	C₂³	C₂²×C₂²⋊D₈₃	1	1	yes	characteristic
1659	C₂³	C₂²×C₂²⋊D₈₃	1	1	yes	characteristic
1660	C₂³	C₂²×C₂²⋊D₈₃	1	1	yes	characteristic
1661	C₂³	C₂²×C₂²⋊D₈₃	1	1	yes	characteristic
1662	Q₈	—	2	1	no	—
1663	Q₈	—	2	1	no	—
1664	Q₈	—	2	1	no	—
1665	Q₈	—	2	1	no	—
1666	Q₈	—	2	1	no	—
1667	Q₈	—	4	2	no	—
1668	Q₈	—	4	2	no	—
1669	Q₈	—	332	2	no	—
1670	Q₈	—	664	1	no	—
1671	Q₈	—	166	1	no	—
1672	Q₈	—	166	1	no	—
1673	Q₈	C₂×#13050589	1	2	yes	—
1674	D₄	—	2	4	no	—
1675	D₄	—	2	2	no	—
1676	D₄	—	2	2	no	—
1677	D₄	—	2	1	no	—
1678	D₄	—	2	1	no	—
1679	D₄	—	2	1	no	—
1680	D₄	—	2	1	no	—
1681	D₄	—	2	1	no	—
1682	D₄	—	4	1	no	—
1683	D₄	—	4	1	no	—
1684	D₄	—	4	2	no	—
1685	D₄	—	4	2	no	—
1686	D₄	—	4	2	no	—
1687	D₄	—	4	2	no	—
1688	D₄	—	4	2	no	—
1689	D₄	—	4	2	no	—
1690	D₄	—	4	2	no	—
1691	D₄	—	4	2	no	—
1692	D₄	—	4	2	no	—
1693	D₄	—	4	2	no	—
1694	D₄	—	4	2	no	—
1695	D₄	—	8	1	no	—
1696	D₄	—	8	1	no	—
1697	D₄	—	8	1	no	—
1698	D₄	—	332	2	no	—
1699	D₄	—	332	2	no	—
1700	D₄	—	332	2	no	—
1701	D₄	—	664	1	no	—
1702	D₄	—	664	1	no	—
1703	D₄	—	166	1	no	—
1704	D₄	—	166	1	no	—
1705	D₄	C₂×#13050589	1	2	yes	—
1706	C₂×C₄	—	2	2	no	—
1707	C₂×C₄	—	2	2	no	—
1708	C₂×C₄	—	2	1	no	—
1709	C₂×C₄	—	2	2	no	—
1710	C₂×C₄	—	2	2	no	—
1711	C₂×C₄	—	2	2	no	—
1712	C₂×C₄	—	2	2	no	—
1713	C₂×C₄	—	2	4	no	—
1714	C₂×C₄	—	2	1	no	—
1715	C₂×C₄	—	2	1	no	—
1716	C₂×C₄	—	2	1	no	—
1717	C₂×C₄	—	2	1	no	—
1718	C₂×C₄	—	2	1	no	—
1719	C₂×C₄	—	2	1	no	—
1720	C₂×C₄	—	2	1	no	—
1721	C₂×C₄	—	2	1	no	—
1722	C₂×C₄	—	2	1	no	—
1723	C₂×C₄	—	2	1	no	—
1724	C₂×C₄	—	2	1	no	—
1725	C₂×C₄	—	2	1	no	—
1726	C₂×C₄	—	4	1	no	—
1727	C₂×C₄	—	4	1	no	—
1728	C₂×C₄	—	4	2	no	—
1729	C₂×C₄	—	4	2	no	—
1730	C₂×C₄	—	4	2	no	—
1731	C₂×C₄	—	4	2	no	—
1732	C₂×C₄	—	4	2	no	—
1733	C₂×C₄	—	4	2	no	—
1734	C₂×C₄	—	4	2	no	—
1735	C₂×C₄	—	4	2	no	—
1736	C₂×C₄	—	4	2	no	—
1737	C₂×C₄	—	8	1	no	—
1738	C₂×C₄	—	332	2	no	—
1739	C₂×C₄	—	332	2	no	—
1740	C₂×C₄	—	332	2	no	—
1741	C₂×C₄	—	332	2	no	—
1742	C₂×C₄	—	664	1	no	—
1743	C₂×C₄	—	664	1	no	—
1744	C₂×C₄	—	664	1	no	—
1745	C₂×C₄	—	166	1	no	—
1746	C₂×C₄	—	166	1	no	—
1747	C₂×C₄	—	166	1	no	—
1748	C₂×C₄	—	166	1	no	—
1749	C₂×C₄	—	166	1	no	—
1750	C₂×C₄	—	166	1	no	—
1751	C₂×C₄	—	166	1	no	—
1752	C₂×C₄	C₂²×C₂²⋊D₈₃	1	1	yes	characteristic
1753	C₂×C₄	C₂²×C₂²⋊D₈₃	1	1	yes	characteristic
1754	C₂×C₄	C₂²×C₂²⋊D₈₃	1	1	yes	characteristic
1755	C₂×C₄	C₂²×C₂²⋊D₈₃	1	1	yes	characteristic
1756	C₂×C₄	C₂²×C₂²⋊D₈₃	1	1	yes	characteristic
1757	C₂×C₄	C₂²×C₂²⋊D₈₃	1	1	yes	characteristic
1758	C₂×C₄	C₂²×C₂²⋊D₈₃	1	1	yes	characteristic
1759	C₂×C₄	C₂²×C₂²⋊D₈₃	1	1	yes	characteristic
1760	C₂×C₄	C₂²×C₂²⋊D₈₃	1	1	yes	characteristic
1761	C₂×C₄	C₂×#13050589	1	2	yes	—
1762	C₂×C₄	#14581837	1	2	yes	—
1763	C₂×C₄	C₂⁴×D₈₃	1	1	yes	characteristic
1764	C₈	—	166	1	no	—
1765	C₈	—	166	1	no	—
1766	C₈	—	166	1	no	—
1767	C₈	—	166	1	no	—
1768	C₈	—	166	1	no	—
1769	C₈	—	166	1	no	—
1770	C₈	—	166	1	no	—
1771	C₈	—	166	1	no	—
1772	C₂²	—	2	1	no	—
1773	C₂²	—	2	1	no	—
1774	C₂²	—	2	1	no	—
1775	C₂²	—	2	1	no	—
1776	C₂²	—	2	1	no	—
1777	C₂²	—	2	1	no	—
1778	C₂²	—	2	1	no	—
1779	C₂²	—	2	2	no	—
1780	C₂²	—	2	1	no	—
1781	C₂²	—	2	1	no	—
1782	C₂²	—	2	1	no	—
1783	C₂²	—	2	1	no	—
1784	C₂²	—	2	1	no	—
1785	C₂²	—	2	1	no	—
1786	C₂²	—	4	4	no	—
1787	C₂²	—	4	1	no	—
1788	C₂²	—	4	1	no	—
1789	C₂²	—	4	1	no	—
1790	C₂²	—	4	1	no	—
1791	C₂²	—	4	1	no	—
1792	C₂²	—	4	1	no	—
1793	C₂²	—	4	1	no	—
1794	C₂²	—	4	1	no	—
1795	C₂²	—	8	2	no	—
1796	C₂²	—	8	4	no	—
1797	C₂²	—	8	4	no	—
1798	C₂²	—	332	1	no	—
1799	C₂²	—	332	1	no	—
1800	C₂²	—	332	1	no	—
1801	C₂²	#19128345	1	2	yes	—
1802	C₂²	#19128499	1	2	yes	—
1803	C₂²	C₂³×C₂²⋊D₈₃	1	1	yes	characteristic
1804	C₄	—	2	1	no	—
1805	C₄	—	2	1	no	—
1806	C₄	—	2	1	no	—
1807	C₄	—	2	1	no	—
1808	C₄	—	2	2	no	—
1809	C₄	—	2	1	no	—
1810	C₄	—	2	1	no	—
1811	C₄	—	2	1	no	—
1812	C₄	—	2	1	no	—
1813	C₄	—	4	1	no	—
1814	C₄	—	4	1	no	—
1815	C₄	—	4	1	no	—
1816	C₄	—	4	1	no	—
1817	C₄	—	332	1	no	—
1818	C₄	—	332	1	no	—
1819	C₄	—	332	1	no	—
1820	C₄	—	332	1	no	—
1821	C₄	—	332	1	no	—
1822	C₄	—	332	1	no	—
1823	C₄	—	332	1	no	—
1824	C₄	#19128345	1	2	yes	—
1825	C₄	C₂²×#13050589	1	1	yes	characteristic
1826	C₄	C₂×#14581837	1	1	yes	characteristic
1827	C₂	—	2	2	no	—
1828	C₂	—	2	2	no	—
1829	C₂	—	4	1	no	—
1830	C₂	—	4	1	no	—
1831	C₂	—	4	1	no	—
1832	C₂	—	4	2	no	—
1833	C₂	—	8	1	no	—
1834	C₂	—	8	1	no	—
1835	C₂	—	664	1	no	—
1836	C₂	C₂×#19128345	1	1	yes	characteristic
1837	C₂	C₂×#19128499	1	1	yes	characteristic
1838	C₂	#24922234	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂²×C₂²⋊D₈₃
commutator, cosocle	C₂×C₄×C₈₃	C₂⁵
Frattini	C₂×C₄	C₂⁴×D₈₃
Fitting	D₄×#41×C₈₃	C₂
socle	C₂²×C₈₃	C₂³×D₄
hypercenter	D₄×#41	D₈₃
hypocenter	C₈₃	#61141
LCS	G ▷ C₂×C₄×C₈₃ ▷ C₂×C₈₃ ▷ C₈₃
UCS	C₁ ◁ C₂×C₄ ◁ C₂×C₄×D₄ ◁ D₄×#41

Complements

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

N	H ≅ G/N	type
1. #24921021	C₂	semidirect
2. #24919649	C₂	semidirect
3. #24919634	C₂	semidirect
4. #24919619	C₂	semidirect
5. #24919604	C₂	semidirect
6. #24919589	C₂	semidirect
7. #24919574	C₂	semidirect
8. #24919559	C₂	semidirect
9. #24919544	C₂	semidirect
10. #24919529	C₂	semidirect
11. #24919514	C₂	semidirect
12. #24919499	C₂	semidirect
13. #24919484	C₂	semidirect
14. #24919469	C₂	semidirect
15. #24919454	C₂	semidirect
16. #24919439	C₂	semidirect
17. #24919424	C₂	semidirect
18. #24917808	C₂	semidirect
19. #24917372	C₂	semidirect
20. #24917372	C₂	semidirect
21. #24917251	C₂	semidirect
22. #24917069	C₂	semidirect
23. #24917041	C₂	semidirect
24. #24916912	C₂	semidirect
25. #24916681	C₂	semidirect
26. #24916681	C₂	semidirect
27. #24916261	C₂	semidirect
28. C₂×#19127773	C₂	semidirect
29. #24915982	C₂	semidirect
30. C₂×#19127697	C₂	semidirect
31. D₄×#41×C₈₃	C₂	semidirect
33. C₂×#14581812	C₂²	semidirect
34. C₂×#14581812	C₂²	semidirect
35. C₂²×#13050574	C₂²	semidirect
36. C₂³×C₈₃⋊C₈	C₂²	semidirect
37. #19128421	C₂²	semidirect
38. #19128416	C₂²	semidirect
39. #19128408	C₂²	semidirect
41. #19128397	C₂²	semidirect
43. #19128391	C₂²	semidirect
47. #19128355	C₂²	semidirect
49. #19128258	C₂²	semidirect
53. #19128212	C₂²	semidirect
54. #19128212	C₂²	semidirect
55. C₄×#13050590	C₂²	semidirect
57. C₂×#14581751	C₂²	semidirect
58. C₂×#14581751	C₂²	semidirect
59. #19128069	C₂²	semidirect
60. #19128069	C₂²	semidirect
61. #19128065	C₂²	semidirect
62. #19128065	C₂²	semidirect
63. #19128060	C₂²	semidirect
64. #19128060	C₂²	semidirect
65. #19128060	C₂²	semidirect
66. #19128060	C₂²	semidirect
67. #19128039	C₂²	semidirect
68. #19128039	C₂²	semidirect
69. #19128039	C₂²	semidirect
70. #19128039	C₂²	semidirect
71. #19128034	C₂²	semidirect
72. #19128034	C₂²	semidirect
73. #19128029	C₂²	semidirect
74. #19128029	C₂²	semidirect
75. #19128022	C₂²	semidirect
76. #19128022	C₂²	semidirect
77. #19128022	C₂²	semidirect
78. #19128022	C₂²	semidirect
79. #19128017	C₂²	semidirect
80. #19128017	C₂²	semidirect
81. #19128012	C₂²	semidirect
82. #19128012	C₂²	semidirect
83. #19128008	C₂²	semidirect
84. #19128008	C₂²	semidirect
85. #19128001	C₂²	semidirect
86. #19128001	C₂²	semidirect
87. #19127996	C₂²	semidirect
88. #19127991	C₂²	semidirect
89. #19127986	C₂²	semidirect
90. #19127981	C₂²	semidirect
91. #19127957	C₂²	semidirect
92. #19127957	C₂²	semidirect
93. #19127952	C₂²	semidirect
94. #19127952	C₂²	semidirect
95. #19127949	C₂²	semidirect
96. #19127949	C₂²	semidirect
97. #19127945	C₂²	semidirect
98. #19127945	C₂²	semidirect
99. #19127940	C₂²	semidirect
100. #19127940	C₂²	semidirect
101. #19127935	C₂²	semidirect
102. #19127935	C₂²	semidirect
103. #19127932	C₂²	semidirect
104. #19127932	C₂²	semidirect
105. #19127928	C₂²	semidirect
106. #19127928	C₂²	semidirect
107. #19127920	C₂²	semidirect
108. #19127920	C₂²	semidirect
109. #19127913	C₂²	semidirect
110. #19127913	C₂²	semidirect
111. #19127908	C₂²	semidirect
112. #19127903	C₂²	semidirect
113. #19127898	C₂²	semidirect
114. #19127893	C₂²	semidirect
115. #19127863	C₂²	semidirect
116. #19127863	C₂²	semidirect
117. #19127863	C₂²	semidirect
118. #19127863	C₂²	semidirect
119. #19127857	C₂²	semidirect
120. #19127857	C₂²	semidirect
121. #19127852	C₂²	semidirect
122. #19127852	C₂²	semidirect
123. #19127846	C₂²	semidirect
124. #19127846	C₂²	semidirect
125. #19127846	C₂²	semidirect
126. #19127846	C₂²	semidirect
127. #19127840	C₂²	semidirect
128. #19127840	C₂²	semidirect
129. #19127835	C₂²	semidirect
130. #19127835	C₂²	semidirect
131. #19127811	C₂²	semidirect
132. #19127811	C₂²	semidirect
133. #19127806	C₂²	semidirect
134. #19127806	C₂²	semidirect
135. #19127801	C₂²	semidirect
136. #19127801	C₂²	semidirect
137. #19127799	C₂²	semidirect
138. #19127799	C₂²	semidirect
141. #19127773	C₂²	semidirect
142. #19127773	C₂²	semidirect
143. #19127773	C₂²	semidirect
144. #19127773	C₂²	semidirect
145. #19127773	C₂²	semidirect
146. #19127773	C₂²	semidirect
147. #19127737	C₂²	semidirect
148. #19127737	C₂²	semidirect
149. #19127737	C₂²	semidirect
150. C₂×C₄⋊(C₈₃⋊C₈)	C₂²	semidirect
151. #19127710	C₂²	semidirect
152. #19127710	C₂²	semidirect
153. #19127706	C₂²	semidirect
154. #19127706	C₂²	semidirect
155. #19127702	C₂²	semidirect
156. #19127702	C₂²	semidirect
157. #19127702	C₂²	semidirect
158. #19127702	C₂²	semidirect
162. #19127697	C₂²	semidirect
163. #19127697	C₂²	semidirect
164. #19127697	C₂²	semidirect
165. #19127697	C₂²	semidirect
166. #19127697	C₂²	semidirect
167. #19127697	C₂²	semidirect
168. #19127697	C₂²	semidirect
169. #19127697	C₂²	semidirect
170. #19127697	C₂²	semidirect
171. #19127697	C₂²	semidirect
172. #19127695	C₂²	semidirect
173. C₂×#14581716	C₂²	semidirect
174. C₂×#14581716	C₂²	semidirect
175. C₂×#14581713	C₂²	semidirect
176. C₂×#14581713	C₂²	semidirect
177. C₂×C₂²⋊(C₈₃⋊C₈)	C₂²	semidirect
178. C₂×C₂²⋊(C₈₃⋊C₈)	C₂²	semidirect
179. C₂×#14581703	C₂²	semidirect
607. #41×C₈₃	#41	semidirect
921. D₄×#41	D₈₃	semidirect
951. C₈₃	#61141	semidirect
1431. #41	#13050589	semidirect

Maximal subgroups

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

subgroup	index
#24921021	2
#24919649	2
#24919634	2
#24919619	2
#24919604	2
#24919589	2
#24919574	2
#24919559	2
#24919544	2
#24919529	2
#24919514	2
#24919499	2
#24919484	2
#24919469	2
#24919454	2
#24919439	2
#24919424	2
#24917808	2
#24917372	2
#24917251	2
#24917069	2
#24917041	2
#24916912	2
#24916681	2
#24916261	2
C₂×#19127773	2
#24915982	2
C₂×#19127697	2
D₄×#41×C₈₃	2
#61141	83