Subgroups — #6345813

Order 512.

1619 conjugacy classes of subgroups.

The subgroup lattice has 1510 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#61441	C₂	1	1	yes	maximal, characteristic
2	#60218	C₂	1	1	yes	maximal, characteristic, complemented
3	#60215	C₂	1	1	yes	maximal, characteristic, complemented
4	#18078	C₂	1	1	yes	maximal, characteristic, complemented
5	#18077	C₂	1	1	yes	maximal, characteristic, complemented
6	#18075	C₂	1	1	yes	maximal, characteristic, complemented
7	#18048	C₂	1	1	yes	maximal, characteristic, complemented
8	#18047	C₂	1	1	yes	maximal, characteristic, complemented
9	#18041	C₂	1	1	yes	maximal, characteristic, complemented
10	#18013	C₂	1	1	yes	maximal, characteristic, complemented
11	#18012	C₂	1	1	yes	maximal, characteristic, complemented
12	#18007	C₂	1	1	yes	maximal, characteristic, complemented
13	#18006	C₂	1	1	yes	maximal, characteristic, complemented
14	#18005	C₂	1	1	yes	maximal, characteristic, complemented
15	#18002	C₂	1	1	yes	maximal, characteristic, complemented
16	#17965	C₂	1	1	yes	maximal, characteristic, complemented
17	#17964	C₂	1	1	yes	maximal, characteristic, complemented
18	#17959	C₂	1	1	yes	maximal, characteristic, complemented
19	#17913	C₂	1	1	yes	maximal, characteristic, complemented
20	#17912	C₂	1	1	yes	maximal, characteristic, complemented
21	#17911	C₂	1	1	yes	maximal, characteristic, complemented
22	#17910	C₂	1	1	yes	maximal, characteristic, complemented
23	#17904	C₂	1	1	yes	maximal, characteristic, complemented
24	#17904	C₂	1	1	yes	maximal, characteristic, complemented
25	C₈×#137	C₂	1	1	yes	maximal, characteristic, complemented
26	C₈×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
27	C₈×#135	C₂	1	1	yes	maximal, characteristic, complemented
28	#17831	C₂	1	1	yes	maximal, characteristic, complemented
29	#17516	C₂	1	1	yes	maximal, characteristic, complemented
30	#17513	C₂	1	1	yes	maximal, characteristic, complemented
31	#17335	C₂	1	1	yes	maximal, characteristic, complemented
32	#3480	C₂²	1	1	yes	characteristic
33	#3475	C₂²	1	1	yes	characteristic
34	#3401	C₄	1	1	yes	characteristic
35	#3388	C₄	1	1	yes	characteristic
36	#3377	C₄	1	1	yes	characteristic
37	#3370	C₄	1	1	yes	characteristic
38	#3351	C₄	1	1	yes	characteristic
39	#3349	C₄	1	1	yes	characteristic
40	#3347	C₄	1	1	yes	characteristic
41	#3327	C₄	1	1	yes	characteristic
42	#3322	C₄	1	1	yes	characteristic
43	#3321	C₄	1	1	yes	characteristic
44	#3317	C₄	1	1	yes	characteristic
45	#3311	C₄	1	1	yes	characteristic
46	#3307	C₄	1	1	yes	characteristic
47	#3275	C₄	1	1	yes	characteristic
48	#3269	C₄	1	1	yes	characteristic
49	#3268	C₄	1	1	yes	characteristic
50	#3172	C₂²	1	1	yes	characteristic
51	#3171	C₂²	1	1	yes	characteristic
52	#3168	C₂²	1	1	yes	characteristic
53	#3108	C₂²	1	1	yes	characteristic
54	#3107	C₂²	1	1	yes	characteristic
55	#3106	C₂²	1	1	yes	characteristic
56	#3105	C₂²	1	1	yes	characteristic
57	#3102	C₂²	1	1	yes	characteristic
58	#3102	C₂²	1	1	yes	characteristic
59	#2971	C₂²	1	1	yes	characteristic
60	#2971	C₂²	1	1	yes	characteristic, complemented
61	#2970	C₂²	1	1	yes	characteristic
62	#2970	C₂²	1	1	yes	characteristic
63	#2969	—	2	1	no	—
64	#2969	—	2	1	no	—
65	#2969	C₂²	1	1	yes	characteristic
66	#2969	C₂²	1	1	yes	characteristic
67	#2969	C₂²	1	1	yes	characteristic
68	#2969	C₂²	1	1	yes	characteristic, complemented
69	#2968	—	2	1	no	—
70	#2968	—	2	1	no	—
71	#2966	—	2	1	no	—
72	#2966	—	2	1	no	—
73	#2966	—	2	1	no	—
74	#2966	—	2	1	no	—
75	#2966	C₂²	1	1	yes	characteristic
76	#2966	C₂²	1	1	yes	characteristic
77	#2966	C₂²	1	1	yes	characteristic
78	#2966	C₂²	1	1	yes	characteristic, complemented
79	#2965	C₂²	1	1	yes	characteristic
80	#2965	C₂²	1	1	yes	characteristic
81	C₈×#41	C₂²	1	1	yes	characteristic
82	C₈×#41	C₂²	1	1	yes	characteristic
83	C₈×#41	C₂²	1	1	yes	characteristic
84	C₈×#41	C₂²	1	1	yes	characteristic, complemented
85	Q₈×M₁₆	C₂²	1	1	yes	characteristic, complemented
86	#2962	C₂²	1	1	yes	characteristic
87	#2960	C₂²	1	1	yes	characteristic
88	C₂×C₈×Q₈	C₂²	1	1	yes	characteristic, complemented
89	C₄×#137	C₂²	1	1	yes	characteristic
90	C₄×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
91	C₄×#135	C₂²	1	1	yes	characteristic
92	#2935	—	2	1	no	—
93	#2935	C₂²	1	1	yes	characteristic, complemented
94	D₄×M₁₆	C₂²	1	1	yes	characteristic
95	#2933	—	2	1	no	—
96	#2931	—	2	1	no	—
97	#2931	C₂²	1	1	yes	characteristic, complemented
98	#2929	—	2	1	no	—
99	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
100	#2925	—	2	1	no	—
101	#2925	C₂²	1	1	yes	characteristic
102	#2925	C₂²	1	1	yes	characteristic
103	#2924	—	2	1	no	—
104	C₄×#131	—	2	1	no	—
105	C₄×#131	C₂²	1	1	yes	characteristic
106	C₂×#405	—	2	1	no	—
107	#1594	C₂²	1	1	yes	characteristic
108	#1594	C₂²	1	1	yes	characteristic
109	#1593	C₂²	1	1	yes	characteristic, complemented
110	#1593	C₂²	1	1	yes	characteristic, complemented
111	#1592	C₂²	1	1	yes	characteristic, complemented
112	#1592	C₂²	1	1	yes	characteristic, complemented
113	#1592	C₂²	1	1	yes	characteristic, complemented
114	#1592	C₂²	1	1	yes	characteristic, complemented
115	#1591	C₂²	1	1	yes	characteristic, complemented
116	#1590	C₂²	1	1	yes	characteristic
117	#1590	C₂²	1	1	yes	characteristic, complemented
118	#1589	C₂²	1	1	yes	characteristic
119	#1588	C₂²	1	1	yes	characteristic
120	#1588	C₂²	1	1	yes	characteristic
121	#1588	C₂²	1	1	yes	characteristic, complemented
122	#1588	C₂²	1	1	yes	characteristic, complemented
123	#1587	C₂²	1	1	yes	characteristic, complemented
124	#1587	C₂²	1	1	yes	characteristic, complemented
125	#1587	C₂²	1	1	yes	characteristic, complemented
126	#1587	C₂²	1	1	yes	characteristic, complemented
127	#1586	C₂²	1	1	yes	characteristic
128	#1586	C₂²	1	1	yes	characteristic
129	#1586	C₂²	1	1	yes	characteristic
130	#1586	C₂²	1	1	yes	characteristic
131	#1585	C₂²	1	1	yes	characteristic
132	#1585	C₂²	1	1	yes	characteristic
133	#1585	C₂²	1	1	yes	characteristic, complemented
134	#1585	C₂²	1	1	yes	characteristic, complemented
135	#1584	C₂²	1	1	yes	characteristic, complemented
136	#1584	C₂²	1	1	yes	characteristic, complemented
137	#1583	C₂²	1	1	yes	characteristic
138	#1583	C₂²	1	1	yes	characteristic, complemented
139	#1582	C₂²	1	1	yes	characteristic
140	#1582	C₂²	1	1	yes	characteristic, complemented
141	#1581	C₂²	1	1	yes	characteristic
142	#1581	C₂²	1	1	yes	characteristic
143	#1580	C₂²	1	1	yes	characteristic
144	#1580	C₂²	1	1	yes	characteristic
145	#1579	C₂²	1	1	yes	characteristic, complemented
146	#1579	C₂²	1	1	yes	characteristic, complemented
147	SD₁₆⋊C₈	C₂²	1	1	yes	characteristic
148	SD₁₆⋊C₈	C₂²	1	1	yes	characteristic
149	SD₁₆⋊C₈	C₂²	1	1	yes	characteristic
150	SD₁₆⋊C₈	C₂²	1	1	yes	characteristic
151	C₈×Q₁₆	C₂²	1	1	yes	characteristic, complemented
152	C₈×Q₁₆	C₂²	1	1	yes	characteristic, complemented
153	C₈×Q₁₆	C₂²	1	1	yes	characteristic, complemented
154	C₈×Q₁₆	C₂²	1	1	yes	characteristic, complemented
155	C₈×Q₁₆	C₂²	1	1	yes	characteristic, complemented
156	C₈×SD₁₆	C₂²	1	1	yes	characteristic
157	C₈×SD₁₆	C₂²	1	1	yes	characteristic
158	C₈×SD₁₆	C₂²	1	1	yes	characteristic
159	C₈×SD₁₆	C₂²	1	1	yes	characteristic
160	C₈×SD₁₆	C₂²	1	1	yes	characteristic
161	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
162	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
163	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
164	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
165	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
166	C₈×D₈	C₂²	1	1	yes	characteristic
167	C₈×D₈	C₂²	1	1	yes	characteristic
168	C₈×D₈	C₂²	1	1	yes	characteristic
169	C₈×D₈	C₂²	1	1	yes	characteristic
170	C₈×D₈	C₂²	1	1	yes	characteristic
171	#1574	C₂²	1	1	yes	characteristic
172	#1574	C₂²	1	1	yes	characteristic, complemented
173	#1573	C₂²	1	1	yes	characteristic
174	#1573	C₂²	1	1	yes	characteristic, complemented
175	#1572	C₂²	1	1	yes	characteristic, complemented
176	#1572	C₂²	1	1	yes	characteristic, complemented
177	#1569	C₂²	1	1	yes	characteristic
178	#1569	C₂²	1	1	yes	characteristic, complemented
179	#1568	C₂²	1	1	yes	characteristic, complemented
180	#1565	C₂²	1	1	yes	characteristic
181	#1565	C₂²	1	1	yes	characteristic, complemented
182	#1564	C₂²	1	1	yes	characteristic, complemented
183	#1497	C₂²	1	1	yes	characteristic
184	#1496	C₂²	1	1	yes	characteristic, complemented
185	#1495	C₂²	1	1	yes	characteristic
186	#1495	C₂²	1	1	yes	characteristic
187	#1494	C₂²	1	1	yes	characteristic
188	#1494	C₂²	1	1	yes	characteristic, complemented
189	#1491	C₂²	1	1	yes	characteristic, complemented
190	#1490	C₂²	1	1	yes	characteristic
191	#1489	C₂²	1	1	yes	characteristic
192	#1489	C₂²	1	1	yes	characteristic
193	#1488	C₂²	1	1	yes	characteristic
194	#1488	C₂²	1	1	yes	characteristic, complemented
195	#1485	C₂²	1	1	yes	characteristic
196	#1484	C₂²	1	1	yes	characteristic, complemented
197	#1483	C₂²	1	1	yes	characteristic
198	#1483	C₂²	1	1	yes	characteristic
199	#1482	C₂²	1	1	yes	characteristic
200	#1482	C₂²	1	1	yes	characteristic, complemented
201	#1479	C₂²	1	1	yes	characteristic, complemented
202	#1478	C₂²	1	1	yes	characteristic
203	#1477	C₂²	1	1	yes	characteristic
204	#1477	C₂²	1	1	yes	characteristic
205	#1476	C₂²	1	1	yes	characteristic
206	#1476	C₂²	1	1	yes	characteristic, complemented
207	#1455	C₂²	1	1	yes	characteristic
208	#1455	C₂²	1	1	yes	characteristic, complemented
209	#1453	C₂²	1	1	yes	characteristic
210	#1453	C₂²	1	1	yes	characteristic, complemented
211	#1451	C₂²	1	1	yes	characteristic, complemented
212	#1451	C₂²	1	1	yes	characteristic, complemented
213	#1450	C₂²	1	1	yes	characteristic, complemented
214	C₈×M₁₆	C₂²	1	1	yes	characteristic
215	C₈×M₁₆	C₂²	1	1	yes	characteristic
216	C₈×M₁₆	C₂²	1	1	yes	characteristic, complemented
217	C₈×M₁₆	C₂²	1	1	yes	characteristic, complemented
218	C₂×C₈²	C₂²	1	1	yes	characteristic, complemented
219	C₂×#137	C₂×C₄	1	1	yes	characteristic
220	C₂×AGL(1,ℤ/8)	C₂×C₄	1	1	yes	characteristic
221	C₂×#135	C₂×C₄	1	1	yes	characteristic
222	C₂×#131	—	2	1	no	—
223	C₂×#131	—	2	1	no	—
224	C₂×#131	D₄	1	1	yes	characteristic
225	C₂×#131	D₄	1	1	yes	characteristic
226	C₂²×M₁₆	—	2	1	no	—
227	C₂³×C₈	—	2	1	no	—
228	#559	—	2	1	no	—
229	#559	C₂×C₄	1	1	yes	characteristic
230	#557	C₂×C₄	1	1	yes	characteristic
231	#556	—	2	1	no	—
232	#556	C₂×C₄	1	1	yes	characteristic
233	#556	C₂×C₄	1	1	yes	characteristic
234	#555	C₂×C₄	1	1	yes	characteristic
235	#554	C₂×C₄	1	1	yes	characteristic
236	#553	—	2	1	no	—
237	#553	—	2	1	no	—
238	#553	—	2	1	no	—
239	#553	C₂×C₄	1	1	yes	characteristic
240	#553	C₂×C₄	1	1	yes	characteristic
241	#552	—	2	1	no	—
242	#552	C₂×C₄	1	1	yes	characteristic
243	#552	C₂×C₄	1	1	yes	characteristic
244	#551	—	2	1	no	—
245	#551	—	2	1	no	—
246	#550	C₂×C₄	1	1	yes	characteristic
247	#548	C₂×C₄	1	1	yes	characteristic
248	#548	C₂×C₄	1	1	yes	characteristic
249	#547	C₂×C₄	1	1	yes	characteristic
250	#546	C₂×C₄	1	1	yes	characteristic
251	#546	C₂×C₄	1	1	yes	characteristic
252	#533	C₂³	1	1	yes	characteristic
253	#532	—	2	1	no	—
254	#532	C₂³	1	1	yes	characteristic
255	#529	—	2	1	no	—
256	#529	—	2	1	no	—
257	#529	—	2	1	no	—
258	#529	—	2	1	no	—
259	#529	C₂³	1	1	yes	characteristic
260	#529	C₂³	1	1	yes	characteristic
261	#529	C₂³	1	1	yes	characteristic
262	#529	C₂³	1	1	yes	characteristic
263	#525	—	2	1	no	—
264	C₄×#41	—	2	1	no	—
265	C₄×#41	C₂³	1	1	yes	characteristic
266	C₄×#41	C₂³	1	1	yes	characteristic
267	C₄×#41	C₂³	1	1	yes	characteristic
268	C₄×#41	C₂³	1	1	yes	characteristic
269	C₄×#41	C₂³	1	1	yes	characteristic
270	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
271	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
272	C₂×#117	—	2	1	no	—
273	#501	C₂×C₄	1	1	yes	characteristic
274	#501	C₂×C₄	1	1	yes	characteristic
275	#499	C₂×C₄	1	1	yes	characteristic
276	#497	C₂×C₄	1	1	yes	characteristic
277	#496	C₂×C₄	1	1	yes	characteristic
278	#495	C₂×C₄	1	1	yes	characteristic
279	#491	C₂×C₄	1	1	yes	characteristic
280	#490	C₂×C₄	1	1	yes	characteristic
281	#489	C₂×C₄	1	1	yes	characteristic
282	#489	C₂×C₄	1	1	yes	characteristic
283	#488	C₂×C₄	1	1	yes	characteristic
284	#488	C₂×C₄	1	1	yes	characteristic
285	#485	C₂×C₄	1	1	yes	characteristic
286	#485	C₂×C₄	1	1	yes	characteristic
287	#485	C₂×C₄	1	1	yes	characteristic
288	#485	C₂×C₄	1	1	yes	characteristic
289	#484	C₂×C₄	1	1	yes	characteristic
290	#483	C₂×C₄	1	1	yes	characteristic
291	#482	C₂×C₄	1	1	yes	characteristic
292	#482	C₂×C₄	1	1	yes	characteristic
293	#482	C₂×C₄	1	1	yes	characteristic
294	#482	C₂×C₄	1	1	yes	characteristic
295	#481	C₂×C₄	1	1	yes	characteristic
296	#480	C₂×C₄	1	1	yes	characteristic
297	#479	C₂×C₄	1	1	yes	characteristic
298	#479	C₂×C₄	1	1	yes	characteristic
299	#479	C₂×C₄	1	1	yes	characteristic
300	#479	C₂×C₄	1	1	yes	characteristic
301	#478	C₂×C₄	1	1	yes	characteristic
302	#478	C₂×C₄	1	1	yes	characteristic
303	#478	C₂×C₄	1	1	yes	characteristic
304	#478	C₂×C₄	1	1	yes	characteristic
305	#477	C₂×C₄	1	1	yes	characteristic
306	#476	C₂×C₄	1	1	yes	characteristic
307	#475	C₂×C₄	1	1	yes	characteristic
308	#474	C₂×C₄	1	1	yes	characteristic
309	#470	C₂×C₄	1	1	yes	characteristic
310	#470	C₂×C₄	1	1	yes	characteristic
311	#469	C₂×C₄	1	1	yes	characteristic
312	#469	C₂×C₄	1	1	yes	characteristic
313	#468	C₂×C₄	1	1	yes	characteristic
314	#468	C₂×C₄	1	1	yes	characteristic
315	#468	C₂×C₄	1	1	yes	characteristic
316	#468	C₂×C₄	1	1	yes	characteristic
317	#467	C₂×C₄	1	1	yes	characteristic
318	#466	C₂×C₄	1	1	yes	characteristic
319	#465	C₂×C₄	1	1	yes	characteristic
320	#465	C₂×C₄	1	1	yes	characteristic
321	#464	C₂×C₄	1	1	yes	characteristic
322	#464	C₂×C₄	1	1	yes	characteristic
323	#464	C₂×C₄	1	1	yes	characteristic
324	#464	C₂×C₄	1	1	yes	characteristic
325	#463	C₂×C₄	1	1	yes	characteristic
326	#463	C₂×C₄	1	1	yes	characteristic
327	#463	C₂×C₄	1	1	yes	characteristic
328	#463	C₂×C₄	1	1	yes	characteristic
329	#462	C₂×C₄	1	1	yes	characteristic
330	#461	C₂×C₄	1	1	yes	characteristic
331	#460	C₂×C₄	1	1	yes	characteristic
332	#459	C₂×C₄	1	1	yes	characteristic
333	#452	C₂×C₄	1	1	yes	characteristic
334	#452	C₂×C₄	1	1	yes	characteristic
335	#452	C₂×C₄	1	1	yes	characteristic
336	#452	C₂×C₄	1	1	yes	characteristic
337	#451	C₂×C₄	1	1	yes	characteristic
338	#450	C₂×C₄	1	1	yes	characteristic
339	#449	C₂×C₄	1	1	yes	characteristic
340	#449	C₂×C₄	1	1	yes	characteristic
341	#449	C₂×C₄	1	1	yes	characteristic
342	#449	C₂×C₄	1	1	yes	characteristic
343	#448	C₂×C₄	1	1	yes	characteristic
344	#447	C₂×C₄	1	1	yes	characteristic
345	#446	—	2	1	no	—
346	#446	—	2	1	no	—
347	#446	—	2	1	no	—
348	#446	—	2	1	no	—
349	#446	—	2	1	no	—
350	#446	—	2	1	no	—
351	#446	C₂×C₄	1	1	yes	characteristic
352	#446	C₂×C₄	1	1	yes	characteristic
353	#446	C₂³	1	1	yes	characteristic
354	#446	C₂³	1	1	yes	characteristic
355	#446	C₂³	1	1	yes	characteristic
356	#446	C₂³	1	1	yes	characteristic
357	#446	C₂³	1	1	yes	characteristic
358	#446	C₂³	1	1	yes	characteristic
359	C₈×Q₈	—	2	1	no	—
360	C₈×Q₈	—	2	1	no	—
361	C₈×Q₈	—	2	1	no	—
362	C₈×Q₈	C₂³	1	1	yes	characteristic
363	C₈×Q₈	C₂³	1	1	yes	characteristic
364	C₈×Q₈	C₂³	1	1	yes	characteristic
365	C₈×Q₈	C₂³	1	1	yes	characteristic
366	C₈×Q₈	C₂³	1	1	yes	characteristic
367	C₈×Q₈	C₂³	1	1	yes	characteristic
368	C₈×Q₈	C₂³	1	1	yes	characteristic
369	C₈×Q₈	C₂³	1	1	yes	characteristic
370	C₈×Q₈	C₂³	1	1	yes	characteristic
371	C₈×Q₈	C₂³	1	1	yes	characteristic
372	#442	C₂×C₄	1	1	yes	characteristic
373	#442	C₂×C₄	1	1	yes	characteristic
374	#441	C₂×C₄	1	1	yes	characteristic
375	#441	C₂×C₄	1	1	yes	characteristic
376	#440	C₂×C₄	1	1	yes	characteristic
377	#440	C₂×C₄	1	1	yes	characteristic
378	#440	C₂×C₄	1	1	yes	characteristic
379	#440	C₂×C₄	1	1	yes	characteristic
380	C₄×Q₁₆	C₂×C₄	1	1	yes	characteristic
381	C₄×Q₁₆	C₂³	1	1	yes	characteristic
382	C₄×Q₁₆	C₂³	1	1	yes	characteristic
383	C₄×Q₁₆	C₂³	1	1	yes	characteristic
384	C₄×Q₁₆	C₂³	1	1	yes	characteristic
385	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic
386	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic
387	C₄×SD₁₆	C₂³	1	1	yes	characteristic
388	C₄×SD₁₆	C₂³	1	1	yes	characteristic
389	C₄×SD₁₆	C₂³	1	1	yes	characteristic
390	C₄×SD₁₆	C₂³	1	1	yes	characteristic
391	C₄×SD₁₆	C₂³	1	1	yes	characteristic
392	C₄×SD₁₆	C₂³	1	1	yes	characteristic
393	C₄×SD₁₆	C₂³	1	1	yes	characteristic
394	C₄×SD₁₆	C₂³	1	1	yes	characteristic
395	C₄×D₈	C₂×C₄	1	1	yes	characteristic
396	C₄×D₈	C₂³	1	1	yes	characteristic
397	C₄×D₈	C₂³	1	1	yes	characteristic
398	C₄×D₈	C₂³	1	1	yes	characteristic
399	C₄×D₈	C₂³	1	1	yes	characteristic
400	#436	—	2	1	no	—
401	#436	—	2	1	no	—
402	#436	—	2	1	no	—
403	#436	—	2	1	no	—
404	#436	—	2	1	no	—
405	#436	—	2	1	no	—
406	#436	—	2	1	no	—
407	#436	—	2	1	no	—
408	#436	—	2	1	no	—
409	#436	—	2	1	no	—
410	#436	C₂×C₄	1	1	yes	characteristic
411	#436	C₂×C₄	1	1	yes	characteristic
412	#436	C₂³	1	1	yes	characteristic
413	#436	C₂³	1	1	yes	characteristic
414	#436	C₂³	1	1	yes	characteristic
415	#436	C₂³	1	1	yes	characteristic
416	#436	C₂³	1	1	yes	characteristic
417	#436	C₂³	1	1	yes	characteristic
418	#435	—	2	1	no	—
419	#435	—	2	1	no	—
420	#435	—	2	1	no	—
421	#435	—	2	1	no	—
422	#435	—	2	1	no	—
423	#435	—	2	1	no	—
424	#435	—	2	1	no	—
425	#435	—	2	1	no	—
426	#435	—	2	1	no	—
427	#435	—	2	1	no	—
428	#435	—	2	1	no	—
429	#435	—	2	1	no	—
430	#435	—	2	1	no	—
431	#435	—	2	1	no	—
432	#435	—	2	1	no	—
433	#435	—	2	1	no	—
434	#435	—	2	1	no	—
435	#435	—	2	1	no	—
436	#435	C₂×C₄	1	1	yes	characteristic
437	#435	C₂×C₄	1	1	yes	characteristic
438	#435	C₂×C₄	1	1	yes	characteristic
439	#435	C₂×C₄	1	1	yes	characteristic
440	C₈×D₄	—	2	1	no	—
441	C₈×D₄	—	2	1	no	—
442	C₈×D₄	—	2	1	no	—
443	C₈×D₄	—	2	1	no	—
444	C₈×D₄	—	2	1	no	—
445	C₈×D₄	—	2	1	no	—
446	C₈×D₄	—	2	1	no	—
447	C₈×D₄	—	2	1	no	—
448	C₈×D₄	—	2	1	no	—
449	C₈×D₄	—	2	1	no	—
450	C₈×D₄	—	2	1	no	—
451	C₈×D₄	—	2	1	no	—
452	C₈×D₄	—	2	1	no	—
453	C₈×D₄	—	2	1	no	—
454	C₈×D₄	—	2	1	no	—
455	C₈×D₄	C₂³	1	1	yes	characteristic
456	C₈×D₄	C₂³	1	1	yes	characteristic
457	C₈×D₄	C₂³	1	1	yes	characteristic
458	C₈×D₄	C₂³	1	1	yes	characteristic
459	C₈×D₄	C₂³	1	1	yes	characteristic
460	C₈×D₄	C₂³	1	1	yes	characteristic
461	C₈×D₄	C₂³	1	1	yes	characteristic
462	C₈×D₄	C₂³	1	1	yes	characteristic
463	C₈×D₄	C₂³	1	1	yes	characteristic
464	C₈×D₄	C₂³	1	1	yes	characteristic
465	#433	—	2	1	no	—
466	#433	—	2	1	no	—
467	#433	—	2	1	no	—
468	#433	—	2	1	no	—
469	#433	—	2	1	no	—
470	#433	—	2	1	no	—
471	#433	—	2	1	no	—
472	#433	—	2	1	no	—
473	#433	—	2	1	no	—
474	#433	—	2	1	no	—
475	#433	—	2	1	no	—
476	#433	—	2	1	no	—
477	#432	—	2	1	no	—
478	#432	—	2	1	no	—
479	#432	—	2	1	no	—
480	#432	—	2	1	no	—
481	#432	C₂³	1	1	yes	characteristic
482	#432	C₂³	1	1	yes	characteristic
483	#432	C₂³	1	1	yes	characteristic
484	#432	C₂³	1	1	yes	characteristic
485	#431	—	2	1	no	—
486	#431	—	2	1	no	—
487	#431	—	2	1	no	—
488	#431	—	2	1	no	—
489	#431	C₂³	1	1	yes	characteristic
490	#431	C₂³	1	1	yes	characteristic
491	#431	C₂³	1	1	yes	characteristic
492	#431	C₂³	1	1	yes	characteristic
493	#431	C₂³	1	1	yes	characteristic
494	#431	C₂³	1	1	yes	characteristic
495	#431	C₂³	1	1	yes	characteristic
496	#431	C₂³	1	1	yes	characteristic
497	#431	C₂³	1	1	yes	characteristic
498	#431	C₂³	1	1	yes	characteristic
499	#428	C₂×C₄	1	1	yes	characteristic
500	#428	C₂×C₄	1	1	yes	characteristic
501	#427	C₂×C₄	1	1	yes	characteristic
502	#424	—	2	1	no	—
503	#424	—	2	1	no	—
504	#423	—	2	1	no	—
505	#423	C₂³	1	1	yes	characteristic
506	#423	C₂³	1	1	yes	characteristic
507	C₂×C₄⋊C₈	—	2	1	no	—
508	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
509	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
510	#419	C₂×C₄	1	1	yes	characteristic
511	#418	C₂×C₄	1	1	yes	characteristic
512	#417	C₂×C₄	1	1	yes	characteristic
513	#417	C₂×C₄	1	1	yes	characteristic
514	#416	C₂×C₄	1	1	yes	characteristic
515	#416	C₂×C₄	1	1	yes	characteristic
516	#408	—	2	1	no	—
517	#408	—	2	1	no	—
518	#408	—	2	1	no	—
519	#408	—	2	1	no	—
520	#407	—	2	1	no	—
521	C₂×C₂²⋊C₈	—	2	1	no	—
522	#405	—	2	1	no	—
523	#405	—	2	1	no	—
524	#405	—	2	1	no	—
525	#405	—	2	1	no	—
526	#405	—	2	1	no	—
527	#405	—	2	1	no	—
528	#405	—	2	1	no	—
529	#405	—	2	1	no	—
530	#405	—	2	1	no	—
531	#405	—	2	1	no	—
532	#405	—	2	1	no	—
533	#405	—	2	1	no	—
534	#405	D₄	1	1	yes	characteristic
535	#405	D₄	1	1	yes	characteristic
536	#405	D₄	1	1	yes	characteristic
537	#405	D₄	1	1	yes	characteristic
538	#405	D₄	1	1	yes	characteristic
539	#405	D₄	1	1	yes	characteristic
540	C₄×M₁₆	—	2	1	no	—
541	C₄×M₁₆	—	2	1	no	—
542	C₄×M₁₆	—	2	1	no	—
543	C₄×M₁₆	C₂³	1	1	yes	characteristic
544	C₄×M₁₆	C₂³	1	1	yes	characteristic
545	C₄×M₁₆	C₂³	1	1	yes	characteristic
546	C₄×M₁₆	C₂³	1	1	yes	characteristic
547	C₄×M₁₆	C₂³	1	1	yes	characteristic
548	C₄×M₁₆	C₂³	1	1	yes	characteristic
549	C₄×M₁₆	C₂³	1	1	yes	characteristic
550	C₂×#97	—	2	1	no	—
551	C₂×#97	—	2	1	no	—
552	C₂×C₄×C₈	—	2	1	no	—
553	C₂×C₄×C₈	—	2	1	no	—
554	C₂×C₄×C₈	—	2	1	no	—
555	C₂×C₄×C₈	—	2	1	no	—
556	C₂×C₄×C₈	—	2	1	no	—
557	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
558	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
559	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
560	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
561	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
562	#335	C₂³	1	1	yes	characteristic
563	#335	C₂³	1	1	yes	characteristic
564	#335	C₂³	1	1	yes	characteristic
565	#335	C₂³	1	1	yes	characteristic
566	#335	C₂³	1	1	yes	characteristic
567	#335	C₂³	1	1	yes	characteristic
568	#335	C₂³	1	1	yes	characteristic
569	#335	C₂³	1	1	yes	characteristic
570	#334	C₂³	1	1	yes	characteristic
571	#334	C₂³	1	1	yes	characteristic
572	#334	C₂³	1	1	yes	characteristic
573	#334	C₂³	1	1	yes	characteristic
574	#334	C₂³	1	1	yes	characteristic
575	#334	C₂³	1	1	yes	characteristic
576	#334	C₂³	1	1	yes	characteristic
577	#334	C₂³	1	1	yes	characteristic
578	Q₈⋊C₈	C₂³	1	1	yes	characteristic
579	Q₈⋊C₈	C₂³	1	1	yes	characteristic
580	Q₈⋊C₈	C₂³	1	1	yes	characteristic
581	Q₈⋊C₈	C₂³	1	1	yes	characteristic
582	Q₈⋊C₈	C₂³	1	1	yes	characteristic
583	Q₈⋊C₈	C₂³	1	1	yes	characteristic
584	Q₈⋊C₈	C₂³	1	1	yes	characteristic
585	Q₈⋊C₈	C₂³	1	1	yes	characteristic
586	Q₈⋊C₈	C₂³	1	1	yes	characteristic
587	Q₈⋊C₈	C₂³	1	1	yes	characteristic
588	Q₈⋊C₈	C₂³	1	1	yes	characteristic
589	Q₈⋊C₈	C₂³	1	1	yes	characteristic
590	Q₈⋊C₈	C₂³	1	1	yes	characteristic
591	Q₈⋊C₈	C₂³	1	1	yes	characteristic
592	Q₈⋊C₈	C₂³	1	1	yes	characteristic
593	Q₈⋊C₈	C₂³	1	1	yes	characteristic
594	D₄⋊C₈	C₂³	1	1	yes	characteristic
595	D₄⋊C₈	C₂³	1	1	yes	characteristic
596	D₄⋊C₈	C₂³	1	1	yes	characteristic
597	D₄⋊C₈	C₂³	1	1	yes	characteristic
598	D₄⋊C₈	C₂³	1	1	yes	characteristic
599	D₄⋊C₈	C₂³	1	1	yes	characteristic
600	D₄⋊C₈	C₂³	1	1	yes	characteristic
601	D₄⋊C₈	C₂³	1	1	yes	characteristic
602	D₄⋊C₈	C₂³	1	1	yes	characteristic
603	D₄⋊C₈	C₂³	1	1	yes	characteristic
604	D₄⋊C₈	C₂³	1	1	yes	characteristic
605	D₄⋊C₈	C₂³	1	1	yes	characteristic
606	D₄⋊C₈	C₂³	1	1	yes	characteristic
607	D₄⋊C₈	C₂³	1	1	yes	characteristic
608	D₄⋊C₈	C₂³	1	1	yes	characteristic
609	D₄⋊C₈	C₂³	1	1	yes	characteristic
610	#322	C₂³	1	1	yes	characteristic
611	#322	C₂³	1	1	yes	characteristic
612	#322	C₂³	1	1	yes	characteristic
613	#322	C₂³	1	1	yes	characteristic
614	#322	C₂³	1	1	yes	characteristic
615	#322	C₂³	1	1	yes	characteristic
616	#322	C₂³	1	1	yes	characteristic
617	#322	C₂³	1	1	yes	characteristic
618	#322	C₂³	1	1	yes	characteristic
619	#322	C₂³	1	1	yes	characteristic
620	C₈²	C₂³	1	1	yes	characteristic
621	C₈²	C₂³	1	1	yes	characteristic
622	C₈²	C₂³	1	1	yes	characteristic
623	C₈²	C₂³	1	1	yes	characteristic
624	C₈²	C₂³	1	1	yes	characteristic
625	C₈²	C₂³	1	1	yes	characteristic
626	C₂×#41	—	2	1	no	—
627	C₂×#41	C₂²×C₄	1	1	yes	characteristic
628	C₂×#41	C₂²×C₄	1	1	yes	characteristic
629	C₂×#41	C₂²×C₄	1	1	yes	characteristic
630	C₂×#41	C₂²×C₄	1	1	yes	characteristic
631	C₂×#41	C₂×D₄	1	1	yes	characteristic
632	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
633	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
634	C₂³×C₄	—	2	1	no	—
635	#137	—	2	4	no	—
636	AGL(1,ℤ/8)	—	2	4	no	—
637	#135	—	2	4	no	—
638	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
639	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
640	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
641	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
642	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
643	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
644	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
645	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
646	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
647	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
648	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
649	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
650	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
651	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
652	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
653	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
654	#131	—	4	2	no	—
655	#131	—	4	2	no	—
656	#131	—	4	4	no	—
657	#131	—	4	4	no	—
658	C₂×M₁₆	—	2	1	no	—
659	C₂×M₁₆	—	2	1	no	—
660	C₂×M₁₆	—	2	1	no	—
661	C₂×M₁₆	—	2	1	no	—
662	C₂×M₁₆	—	2	1	no	—
663	C₂×M₁₆	—	2	1	no	—
664	C₂×M₁₆	—	2	1	no	—
665	C₂×M₁₆	—	2	1	no	—
666	C₂×M₁₆	—	2	1	no	—
667	C₂×M₁₆	—	2	1	no	—
668	C₂×M₁₆	—	4	4	no	—
669	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
670	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
671	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
672	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
673	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
674	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
675	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
676	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
677	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
678	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
679	C₂²×C₈	—	2	1	no	—
680	C₂²×C₈	—	2	1	no	—
681	C₂²×C₈	—	2	1	no	—
682	C₂²×C₈	—	2	1	no	—
683	C₂²×C₈	—	2	1	no	—
684	C₂²×C₈	—	2	1	no	—
685	C₂²×C₈	—	2	1	no	—
686	C₂²×C₈	—	2	1	no	—
687	C₂²×C₈	—	2	1	no	—
688	C₂²×C₈	—	2	1	no	—
689	C₂²×C₈	—	2	1	no	—
690	C₂²×C₈	—	2	1	no	—
691	C₂²×C₈	—	2	1	no	—
692	C₂²×C₈	—	4	4	no	—
693	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
694	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
695	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
696	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
697	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
698	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
699	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
700	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
701	C₄⋊Q₈	—	2	1	no	—
702	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
703	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
704	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
705	#127	—	2	1	no	—
706	#127	C₂²×C₄	1	1	yes	characteristic
707	#126	—	2	1	no	—
708	#126	—	2	1	no	—
709	#126	—	2	1	no	—
710	#126	—	2	1	no	—
711	#126	—	2	1	no	—
712	#126	—	2	1	no	—
713	#126	—	2	1	no	—
714	#126	—	2	1	no	—
715	#126	—	2	1	no	—
716	#126	—	2	1	no	—
717	#126	—	2	1	no	—
718	#126	—	2	1	no	—
719	#125	—	2	1	no	—
720	#125	—	2	1	no	—
721	#125	—	2	1	no	—
722	#125	—	2	1	no	—
723	#125	—	2	1	no	—
724	#125	C₂²×C₄	1	1	yes	characteristic
725	#125	C₂²×C₄	1	1	yes	characteristic
726	#125	C₂²×C₄	1	1	yes	characteristic
727	#125	C₂²×C₄	1	1	yes	characteristic
728	#124	—	2	1	no	—
729	#124	—	2	1	no	—
730	#124	—	2	1	no	—
731	#124	—	2	1	no	—
732	#124	—	2	1	no	—
733	#124	—	2	1	no	—
734	#124	—	2	1	no	—
735	#124	C₂²×C₄	1	1	yes	characteristic
736	#124	C₂²×C₄	1	1	yes	characteristic
737	#124	C₂²×C₄	1	1	yes	characteristic
738	#124	C₂²×C₄	1	1	yes	characteristic
739	#123	—	2	1	no	—
740	#123	—	2	1	no	—
741	#123	—	2	1	no	—
742	#123	—	2	1	no	—
743	#123	—	2	1	no	—
744	#123	—	2	1	no	—
745	#123	—	2	1	no	—
746	#123	—	2	1	no	—
747	#123	—	2	1	no	—
748	#123	—	2	1	no	—
749	#123	—	2	1	no	—
750	#123	—	2	1	no	—
751	#123	—	2	1	no	—
752	#123	—	2	1	no	—
753	C₂²⋊Q₈	—	2	1	no	—
754	C₂²⋊Q₈	—	2	1	no	—
755	C₂²⋊Q₈	—	2	1	no	—
756	C₂²⋊Q₈	—	2	1	no	—
757	C₂²⋊Q₈	—	2	1	no	—
758	C₂²⋊Q₈	—	2	1	no	—
759	C₂²⋊Q₈	—	2	1	no	—
760	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
761	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
762	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
763	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
764	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
765	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
766	#121	—	2	1	no	—
767	#121	—	2	1	no	—
768	#121	—	2	1	no	—
769	#121	—	2	1	no	—
770	#121	—	2	1	no	—
771	#121	—	2	1	no	—
772	#121	—	2	1	no	—
773	#121	—	2	1	no	—
774	#121	—	2	1	no	—
775	#121	—	2	1	no	—
776	#121	—	2	1	no	—
777	#121	C₂²×C₄	1	1	yes	characteristic
778	#121	C₂²×C₄	1	1	yes	characteristic
779	#121	C₂²×C₄	1	1	yes	characteristic
780	#121	C₂²×C₄	1	1	yes	characteristic
781	#121	C₂²×C₄	1	1	yes	characteristic
782	#121	C₂²×C₄	1	1	yes	characteristic
783	#120	—	2	1	no	—
784	#120	—	2	1	no	—
785	C₄×Q₈	—	2	1	no	—
786	C₄×Q₈	—	2	1	no	—
787	C₄×Q₈	—	2	1	no	—
788	C₄×Q₈	—	2	1	no	—
789	C₄×Q₈	—	2	1	no	—
790	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
791	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
792	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
793	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
794	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
795	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
796	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
797	C₄×Q₈	#41	1	1	yes	characteristic
798	C₄×Q₈	C₂⁴	1	1	yes	characteristic
799	C₄×Q₈	C₂⁴	1	1	yes	characteristic
800	C₄×Q₈	C₂⁴	1	1	yes	characteristic
801	C₄×Q₈	C₂⁴	1	1	yes	characteristic
802	C₄×D₄	—	2	1	no	—
803	C₄×D₄	—	2	1	no	—
804	C₄×D₄	—	2	1	no	—
805	C₄×D₄	—	2	1	no	—
806	C₄×D₄	—	2	1	no	—
807	C₄×D₄	—	2	1	no	—
808	C₄×D₄	—	2	1	no	—
809	C₄×D₄	—	2	1	no	—
810	C₄×D₄	—	2	1	no	—
811	C₄×D₄	—	2	1	no	—
812	C₄×D₄	—	2	1	no	—
813	C₄×D₄	—	2	1	no	—
814	C₄×D₄	—	2	1	no	—
815	C₄×D₄	—	2	1	no	—
816	C₄×D₄	—	2	1	no	—
817	C₄×D₄	—	2	1	no	—
818	C₄×D₄	—	2	1	no	—
819	C₄×D₄	—	2	1	no	—
820	C₄×D₄	—	2	1	no	—
821	C₄×D₄	—	2	1	no	—
822	C₄×D₄	—	2	1	no	—
823	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
824	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
825	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
826	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
827	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
828	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
829	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
830	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
831	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
832	C₄×D₄	#41	1	1	yes	characteristic
833	C₄×D₄	#41	1	1	yes	characteristic
834	C₄×D₄	#41	1	1	yes	characteristic
835	C₄×D₄	C₂⁴	1	1	yes	characteristic
836	C₄×D₄	C₂⁴	1	1	yes	characteristic
837	C₄×D₄	C₂⁴	1	1	yes	characteristic
838	C₄×D₄	C₂⁴	1	1	yes	characteristic
839	#117	—	2	1	no	—
840	#117	—	2	1	no	—
841	#117	—	2	1	no	—
842	#117	—	2	1	no	—
843	#117	—	2	1	no	—
844	#117	—	2	1	no	—
845	#117	—	2	1	no	—
846	#117	—	2	1	no	—
847	#117	—	2	1	no	—
848	#117	—	2	1	no	—
849	#117	—	2	1	no	—
850	#117	—	2	1	no	—
851	#117	—	2	1	no	—
852	#117	C₂²×C₄	1	1	yes	characteristic
853	#117	C₂²×C₄	1	1	yes	characteristic
854	#117	C₂²×C₄	1	1	yes	characteristic
855	#117	C₂²×C₄	1	1	yes	characteristic
856	#117	C₂×D₄	1	1	yes	characteristic
857	#117	C₂×D₄	1	1	yes	characteristic
858	#117	C₂×D₄	1	1	yes	characteristic
859	C₂×C₄⋊C₄	—	2	1	no	—
860	C₂×C₄⋊C₄	—	2	1	no	—
861	C₂×C₄⋊C₄	—	2	1	no	—
862	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
863	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
864	C₂×C₂²⋊C₄	—	2	1	no	—
865	C₂×C₂²⋊C₄	—	2	1	no	—
866	C₂×C₂²⋊C₄	—	2	1	no	—
867	C₂×C₄²	—	2	1	no	—
868	C₂×C₄²	—	2	1	no	—
869	C₂×C₄²	—	2	1	no	—
870	C₂×C₄²	—	2	1	no	—
871	C₂×C₄²	—	2	1	no	—
872	C₂×C₄²	C₂⁴	1	1	yes	characteristic
873	C₂×C₄²	C₂⁴	1	1	yes	characteristic
874	C₂×C₄²	C₂⁴	1	1	yes	characteristic
875	#107	C₂²×C₄	1	1	yes	characteristic
876	#107	C₂²×C₄	1	1	yes	characteristic
877	#107	C₂²×C₄	1	1	yes	characteristic
878	#107	C₂²×C₄	1	1	yes	characteristic
879	#107	C₂²×C₄	1	1	yes	characteristic
880	#107	C₂²×C₄	1	1	yes	characteristic
881	#107	C₂²×C₄	1	1	yes	characteristic
882	#107	C₂²×C₄	1	1	yes	characteristic
883	#106	C₂²×C₄	1	1	yes	characteristic
884	#106	C₂²×C₄	1	1	yes	characteristic
885	#106	C₂²×C₄	1	1	yes	characteristic
886	#106	C₂²×C₄	1	1	yes	characteristic
887	#106	C₂²×C₄	1	1	yes	characteristic
888	#106	C₂²×C₄	1	1	yes	characteristic
889	#106	C₂²×C₄	1	1	yes	characteristic
890	#106	C₂²×C₄	1	1	yes	characteristic
891	C₄⋊C₈	—	2	1	no	—
892	C₄⋊C₈	—	2	1	no	—
893	C₄⋊C₈	—	2	1	no	—
894	C₄⋊C₈	—	2	1	no	—
895	C₄⋊C₈	—	2	1	no	—
896	C₄⋊C₈	—	2	1	no	—
897	C₄⋊C₈	—	2	1	no	—
898	C₄⋊C₈	—	2	1	no	—
899	C₄⋊C₈	—	2	1	no	—
900	C₄⋊C₈	—	2	1	no	—
901	C₄⋊C₈	—	2	1	no	—
902	C₄⋊C₈	—	2	1	no	—
903	C₄⋊C₈	—	2	1	no	—
904	C₄⋊C₈	—	2	1	no	—
905	C₄⋊C₈	—	2	1	no	—
906	C₄⋊C₈	—	2	1	no	—
907	C₄⋊C₈	—	2	1	no	—
908	C₄⋊C₈	—	2	1	no	—
909	C₄⋊C₈	—	2	1	no	—
910	C₄⋊C₈	—	2	1	no	—
911	C₄⋊C₈	—	2	1	no	—
912	C₄⋊C₈	—	2	1	no	—
913	C₄⋊C₈	—	2	1	no	—
914	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
915	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
916	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
917	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
918	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
919	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
920	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
921	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
922	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
923	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
924	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
925	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
926	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
927	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
928	#103	C₂²×C₄	1	1	yes	characteristic
929	#103	C₂²×C₄	1	1	yes	characteristic
930	#103	C₂²×C₄	1	1	yes	characteristic
931	#103	C₂²×C₄	1	1	yes	characteristic
932	#103	C₂²×C₄	1	1	yes	characteristic
933	#103	C₂²×C₄	1	1	yes	characteristic
934	#103	C₂²×C₄	1	1	yes	characteristic
935	#103	C₂²×C₄	1	1	yes	characteristic
936	#103	C₂²×C₄	1	1	yes	characteristic
937	#103	C₂²×C₄	1	1	yes	characteristic
938	#103	C₂²×C₄	1	1	yes	characteristic
939	#103	C₂²×C₄	1	1	yes	characteristic
940	#103	C₂²×C₄	1	1	yes	characteristic
941	#103	C₂²×C₄	1	1	yes	characteristic
942	#103	C₂²×C₄	1	1	yes	characteristic
943	#103	C₂²×C₄	1	1	yes	characteristic
944	#102	C₂²×C₄	1	1	yes	characteristic
945	#102	C₂²×C₄	1	1	yes	characteristic
946	#102	C₂²×C₄	1	1	yes	characteristic
947	#102	C₂²×C₄	1	1	yes	characteristic
948	#102	C₂²×C₄	1	1	yes	characteristic
949	#102	C₂²×C₄	1	1	yes	characteristic
950	#102	C₂²×C₄	1	1	yes	characteristic
951	#102	C₂²×C₄	1	1	yes	characteristic
952	#102	C₂²×C₄	1	1	yes	characteristic
953	#102	C₂²×C₄	1	1	yes	characteristic
954	#102	C₂²×C₄	1	1	yes	characteristic
955	#102	C₂²×C₄	1	1	yes	characteristic
956	#102	C₂²×C₄	1	1	yes	characteristic
957	#102	C₂²×C₄	1	1	yes	characteristic
958	#102	C₂²×C₄	1	1	yes	characteristic
959	#102	C₂²×C₄	1	1	yes	characteristic
960	C₂²⋊C₈	—	2	1	no	—
961	C₂²⋊C₈	—	2	1	no	—
962	C₂²⋊C₈	—	2	1	no	—
963	C₂²⋊C₈	—	2	1	no	—
964	C₂²⋊C₈	—	2	1	no	—
965	C₂²⋊C₈	—	2	1	no	—
966	C₂²⋊C₈	—	2	1	no	—
967	C₂²⋊C₈	—	2	1	no	—
968	C₂²⋊C₈	—	2	1	no	—
969	C₂²⋊C₈	—	2	1	no	—
970	C₂²⋊C₈	—	2	1	no	—
971	C₂²⋊C₈	—	2	1	no	—
972	C₂²⋊C₈	—	2	1	no	—
973	C₂²⋊C₈	—	2	1	no	—
974	C₂²⋊C₈	—	2	1	no	—
975	C₂²⋊C₈	—	2	1	no	—
976	C₂²⋊C₈	—	2	1	no	—
977	C₂²⋊C₈	—	2	1	no	—
978	C₂²⋊C₈	—	2	1	no	—
979	C₂²⋊C₈	—	2	1	no	—
980	C₂²⋊C₈	—	2	1	no	—
981	C₂²⋊C₈	—	2	1	no	—
982	C₂²⋊C₈	—	2	1	no	—
983	C₂²⋊C₈	—	2	1	no	—
984	C₂²⋊C₈	—	2	1	no	—
985	C₂²⋊C₈	—	2	1	no	—
986	C₂²⋊C₈	—	2	1	no	—
987	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
988	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
989	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
990	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
991	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
992	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
993	#97	—	2	1	no	—
994	#97	—	2	1	no	—
995	#97	—	2	1	no	—
996	#97	—	2	1	no	—
997	#97	—	2	1	no	—
998	#97	—	2	1	no	—
999	#97	—	2	1	no	—
1000	#97	—	2	1	no	—
1001	#97	—	2	1	no	—
1002	#97	—	2	1	no	—
1003	#97	—	2	1	no	—
1004	#97	—	2	1	no	—
1005	#97	C₂²×C₄	1	1	yes	characteristic
1006	#97	C₂²×C₄	1	1	yes	characteristic
1007	#97	C₂²×C₄	1	1	yes	characteristic
1008	#97	C₂²×C₄	1	1	yes	characteristic
1009	#97	C₂×D₄	1	1	yes	characteristic
1010	#97	C₂×D₄	1	1	yes	characteristic
1011	#97	C₂×D₄	1	1	yes	characteristic
1012	#97	C₂×D₄	1	1	yes	characteristic
1013	#97	C₂×D₄	1	1	yes	characteristic
1014	#97	C₂×D₄	1	1	yes	characteristic
1015	C₄×C₈	—	2	1	no	—
1016	C₄×C₈	—	2	1	no	—
1017	C₄×C₈	—	2	1	no	—
1018	C₄×C₈	—	2	1	no	—
1019	C₄×C₈	—	2	1	no	—
1020	C₄×C₈	—	2	1	no	—
1021	C₄×C₈	—	2	1	no	—
1022	C₄×C₈	—	2	1	no	—
1023	C₄×C₈	—	2	1	no	—
1024	C₄×C₈	—	2	1	no	—
1025	C₄×C₈	—	2	1	no	—
1026	C₄×C₈	—	2	1	no	—
1027	C₄×C₈	—	2	1	no	—
1028	C₄×C₈	—	2	1	no	—
1029	C₄×C₈	—	2	1	no	—
1030	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
1031	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
1032	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1033	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1034	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1035	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1036	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1037	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1038	C₄×C₈	C₂⁴	1	1	yes	characteristic
1039	C₄×C₈	C₂⁴	1	1	yes	characteristic
1040	C₄×C₈	C₂⁴	1	1	yes	characteristic
1041	C₄×C₈	C₂⁴	1	1	yes	characteristic
1042	C₄×C₈	C₂⁴	1	1	yes	characteristic
1043	C₄×C₈	C₂⁴	1	1	yes	characteristic
1044	C₄×C₈	C₂⁴	1	1	yes	characteristic
1045	C₄×C₈	C₂⁴	1	1	yes	characteristic
1046	C₄×C₈	C₂⁴	1	1	yes	characteristic
1047	C₄×C₈	C₂⁴	1	1	yes	characteristic
1048	C₄×C₈	C₂⁴	1	1	yes	characteristic
1049	C₄×C₈	C₂⁴	1	1	yes	characteristic
1050	C₂⁴	—	2	1	no	—
1051	#41	—	2	2	no	—
1052	#41	—	2	2	no	—
1053	#41	—	2	2	no	—
1054	#41	—	2	2	no	—
1055	#41	—	4	1	no	—
1056	#41	—	4	1	no	—
1057	#41	—	4	1	no	—
1058	#41	—	4	1	no	—
1059	#41	—	4	1	no	—
1060	#41	—	4	1	no	—
1061	#41	—	4	2	no	—
1062	#41	—	4	2	no	—
1063	C₂×Q₈	—	2	1	no	—
1064	C₂×Q₈	—	2	1	no	—
1065	C₂×Q₈	—	2	1	no	—
1066	C₂×Q₈	—	2	2	no	—
1067	C₂×Q₈	—	4	1	no	—
1068	C₂×Q₈	C₄×D₄	1	1	yes	characteristic
1069	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1070	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1071	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1072	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1073	C₂×D₄	—	2	2	no	—
1074	C₂×D₄	—	2	1	no	—
1075	C₂×D₄	—	2	1	no	—
1076	C₂×D₄	—	2	1	no	—
1077	C₂×D₄	—	2	1	no	—
1078	C₂×D₄	—	2	1	no	—
1079	C₂×D₄	—	2	1	no	—
1080	C₂×D₄	—	2	1	no	—
1081	C₂×D₄	—	2	1	no	—
1082	C₂×D₄	—	2	1	no	—
1083	C₂×D₄	—	2	1	no	—
1084	C₂×D₄	—	2	1	no	—
1085	C₂×D₄	—	2	1	no	—
1086	C₂×D₄	—	2	1	no	—
1087	C₂×D₄	—	4	1	no	—
1088	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1089	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1090	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1091	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1092	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1093	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1094	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1095	C₂²×C₄	—	2	1	no	—
1096	C₂²×C₄	—	2	1	no	—
1097	C₂²×C₄	—	2	1	no	—
1098	C₂²×C₄	—	2	1	no	—
1099	C₂²×C₄	—	2	1	no	—
1100	C₂²×C₄	—	2	1	no	—
1101	C₂²×C₄	—	2	1	no	—
1102	C₂²×C₄	—	2	1	no	—
1103	C₂²×C₄	—	2	1	no	—
1104	C₂²×C₄	—	2	1	no	—
1105	C₂²×C₄	—	2	1	no	—
1106	C₂²×C₄	—	2	1	no	—
1107	C₂²×C₄	—	2	1	no	—
1108	C₂²×C₄	—	2	1	no	—
1109	C₂²×C₄	—	2	1	no	—
1110	C₂²×C₄	—	2	1	no	—
1111	C₂²×C₄	—	2	1	no	—
1112	C₂²×C₄	—	4	2	no	—
1113	C₂²×C₄	—	4	2	no	—
1114	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1115	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1116	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1117	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1118	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1119	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1120	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1121	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1122	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1123	Q₁₆	—	2	2	no	—
1124	Q₁₆	—	2	2	no	—
1125	Q₁₆	—	2	2	no	—
1126	Q₁₆	—	4	1	no	—
1127	SD₁₆	—	2	2	no	—
1128	SD₁₆	—	2	2	no	—
1129	SD₁₆	—	2	2	no	—
1130	SD₁₆	—	4	1	no	—
1131	SD₁₆	—	4	1	no	—
1132	SD₁₆	—	4	1	no	—
1133	SD₁₆	—	4	1	no	—
1134	SD₁₆	#131	1	4	yes	complemented
1135	D₈	—	2	2	no	—
1136	D₈	—	2	2	no	—
1137	D₈	—	2	2	no	—
1138	D₈	—	4	1	no	—
1139	M₁₆	—	2	2	no	—
1140	M₁₆	—	2	2	no	—
1141	M₁₆	—	2	2	no	—
1142	M₁₆	—	2	2	no	—
1143	M₁₆	—	4	1	no	—
1144	M₁₆	—	4	1	no	—
1145	M₁₆	—	4	1	no	—
1146	M₁₆	—	4	1	no	—
1147	M₁₆	—	4	1	no	—
1148	M₁₆	—	4	1	no	—
1149	M₁₆	—	4	2	no	—
1150	M₁₆	—	4	2	no	—
1151	M₁₆	—	4	2	no	—
1152	M₁₆	—	4	2	no	—
1153	M₁₆	—	4	2	no	—
1154	M₁₆	—	4	2	no	—
1155	M₁₆	—	4	2	no	—
1156	M₁₆	—	4	2	no	—
1157	M₁₆	—	4	2	no	—
1158	M₁₆	—	4	2	no	—
1159	C₂×C₈	—	2	1	no	—
1160	C₂×C₈	—	2	2	no	—
1161	C₂×C₈	—	2	2	no	—
1162	C₂×C₈	—	2	2	no	—
1163	C₂×C₈	—	2	2	no	—
1164	C₂×C₈	—	2	2	no	—
1165	C₂×C₈	—	2	1	no	—
1166	C₂×C₈	—	2	1	no	—
1167	C₂×C₈	—	2	1	no	—
1168	C₂×C₈	—	2	1	no	—
1169	C₂×C₈	—	2	1	no	—
1170	C₂×C₈	—	2	1	no	—
1171	C₂×C₈	—	2	1	no	—
1172	C₂×C₈	—	2	1	no	—
1173	C₂×C₈	—	2	1	no	—
1174	C₂×C₈	—	2	1	no	—
1175	C₂×C₈	—	2	1	no	—
1176	C₂×C₈	—	4	1	no	—
1177	C₂×C₈	—	4	1	no	—
1178	C₂×C₈	—	4	1	no	—
1179	C₂×C₈	—	4	2	no	—
1180	C₂×C₈	—	4	2	no	—
1181	C₂×C₈	—	4	2	no	—
1182	C₂×C₈	—	4	2	no	—
1183	C₂×C₈	—	4	2	no	—
1184	C₂×C₈	—	4	2	no	—
1185	C₂×C₈	—	4	2	no	—
1186	C₂×C₈	—	4	2	no	—
1187	C₂×C₈	—	4	2	no	—
1188	C₂×C₈	—	4	2	no	—
1189	C₂×C₈	—	4	2	no	—
1190	C₂×C₈	—	4	2	no	—
1191	C₂×C₈	—	4	2	no	—
1192	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1193	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1194	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1195	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1196	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1197	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1198	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1199	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1200	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1201	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1202	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1203	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1204	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1205	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1206	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1207	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1208	C₄⋊C₄	—	2	1	no	—
1209	C₄⋊C₄	—	2	1	no	—
1210	C₄⋊C₄	—	2	1	no	—
1211	C₄⋊C₄	—	2	1	no	—
1212	C₄⋊C₄	—	2	1	no	—
1213	C₄⋊C₄	—	2	1	no	—
1214	C₄⋊C₄	—	2	1	no	—
1215	C₄⋊C₄	—	2	1	no	—
1216	C₄⋊C₄	—	2	1	no	—
1217	C₄⋊C₄	—	2	1	no	—
1218	C₄⋊C₄	—	2	1	no	—
1219	C₄⋊C₄	—	2	1	no	—
1220	C₄⋊C₄	—	2	1	no	—
1221	C₄⋊C₄	—	2	1	no	—
1222	C₄⋊C₄	—	2	1	no	—
1223	C₄⋊C₄	—	2	1	no	—
1224	C₄⋊C₄	—	2	1	no	—
1225	C₄⋊C₄	—	2	1	no	—
1226	C₄⋊C₄	—	2	1	no	—
1227	C₄⋊C₄	—	2	1	no	—
1228	C₄⋊C₄	—	2	1	no	—
1229	C₄⋊C₄	—	2	1	no	—
1230	C₄⋊C₄	—	2	1	no	—
1231	C₄⋊C₄	—	2	1	no	—
1232	C₄⋊C₄	—	2	1	no	—
1233	C₄⋊C₄	—	2	1	no	—
1234	C₄⋊C₄	—	2	1	no	—
1235	C₄⋊C₄	—	2	1	no	—
1236	C₄⋊C₄	—	2	1	no	—
1237	C₄⋊C₄	—	2	1	no	—
1238	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1239	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1240	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1241	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1242	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1243	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1244	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1245	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1246	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1247	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1248	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1249	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1250	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1251	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1252	C₂²⋊C₄	—	2	1	no	—
1253	C₂²⋊C₄	—	2	1	no	—
1254	C₂²⋊C₄	—	2	1	no	—
1255	C₂²⋊C₄	—	2	1	no	—
1256	C₂²⋊C₄	—	2	1	no	—
1257	C₂²⋊C₄	—	2	1	no	—
1258	C₂²⋊C₄	—	2	1	no	—
1259	C₂²⋊C₄	—	2	1	no	—
1260	C₂²⋊C₄	—	2	1	no	—
1261	C₂²⋊C₄	—	2	1	no	—
1262	C₂²⋊C₄	—	2	1	no	—
1263	C₂²⋊C₄	—	2	1	no	—
1264	C₂²⋊C₄	—	2	1	no	—
1265	C₂²⋊C₄	—	2	1	no	—
1266	C₂²⋊C₄	—	2	1	no	—
1267	C₂²⋊C₄	—	2	1	no	—
1268	C₂²⋊C₄	—	2	1	no	—
1269	C₂²⋊C₄	—	2	1	no	—
1270	C₂²⋊C₄	—	2	1	no	—
1271	C₂²⋊C₄	—	2	1	no	—
1272	C₂²⋊C₄	—	2	1	no	—
1273	C₂²⋊C₄	—	2	1	no	—
1274	C₂²⋊C₄	—	2	1	no	—
1275	C₂²⋊C₄	—	2	1	no	—
1276	C₂²⋊C₄	—	2	1	no	—
1277	C₂²⋊C₄	—	2	1	no	—
1278	C₂²⋊C₄	—	2	1	no	—
1279	C₂²⋊C₄	—	2	1	no	—
1280	C₂²⋊C₄	—	2	1	no	—
1281	C₂²⋊C₄	—	2	1	no	—
1282	C₂²⋊C₄	—	2	1	no	—
1283	C₂²⋊C₄	—	2	1	no	—
1284	C₂²⋊C₄	—	2	1	no	—
1285	C₂²⋊C₄	—	2	1	no	—
1286	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1287	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1288	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1289	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1290	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1291	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1292	C₄²	—	2	1	no	—
1293	C₄²	—	2	1	no	—
1294	C₄²	—	2	1	no	—
1295	C₄²	—	2	1	no	—
1296	C₄²	—	2	1	no	—
1297	C₄²	—	2	1	no	—
1298	C₄²	—	2	1	no	—
1299	C₄²	—	2	1	no	—
1300	C₄²	—	2	1	no	—
1301	C₄²	—	2	1	no	—
1302	C₄²	—	2	1	no	—
1303	C₄²	—	2	1	no	—
1304	C₄²	—	2	1	no	—
1305	C₄²	—	2	1	no	—
1306	C₄²	C₂³×C₄	1	1	yes	characteristic
1307	C₄²	C₂³×C₄	1	1	yes	characteristic
1308	C₄²	C₂³×C₄	1	1	yes	characteristic
1309	C₄²	C₂²×D₄	1	1	yes	characteristic
1310	C₄²	C₂²×D₄	1	1	yes	characteristic
1311	C₄²	C₂²×D₄	1	1	yes	characteristic
1312	C₄²	C₂×#41	1	1	yes	characteristic
1313	C₄²	C₂×#41	1	1	yes	characteristic
1314	C₄²	C₂×#41	1	1	yes	characteristic
1315	C₄²	C₂⁵	1	1	yes	characteristic
1316	C₂³	—	2	1	no	—
1317	C₂³	—	2	1	no	—
1318	C₂³	—	2	1	no	—
1319	C₂³	—	2	1	no	—
1320	C₂³	—	4	2	no	—
1321	C₂³	—	4	2	no	—
1322	C₂³	—	8	1	no	—
1323	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1324	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1325	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1326	Q₈	—	2	1	no	—
1327	Q₈	—	2	1	no	—
1328	Q₈	—	2	1	no	—
1329	Q₈	—	2	1	no	—
1330	Q₈	—	2	1	no	—
1331	Q₈	—	2	1	no	—
1332	Q₈	—	2	1	no	—
1333	Q₈	—	4	1	no	—
1334	Q₈	—	4	2	no	—
1335	Q₈	—	4	2	no	—
1336	Q₈	—	8	1	no	—
1337	Q₈	C₂×#131	1	2	yes	—
1338	D₄	—	2	1	no	—
1339	D₄	—	2	1	no	—
1340	D₄	—	2	1	no	—
1341	D₄	—	2	1	no	—
1342	D₄	—	2	1	no	—
1343	D₄	—	2	1	no	—
1344	D₄	—	2	1	no	—
1345	D₄	—	4	1	no	—
1346	D₄	—	4	1	no	—
1347	D₄	—	4	1	no	—
1348	D₄	—	4	2	no	—
1349	D₄	—	4	2	no	—
1350	D₄	—	4	2	no	—
1351	D₄	—	4	2	no	—
1352	D₄	—	4	2	no	—
1353	D₄	—	4	2	no	—
1354	D₄	—	4	2	no	—
1355	D₄	—	4	2	no	—
1356	D₄	—	8	1	no	—
1357	D₄	—	8	1	no	—
1358	D₄	—	8	1	no	—
1359	D₄	—	8	1	no	—
1360	D₄	—	8	1	no	—
1361	D₄	C₂×#131	1	2	yes	—
1362	C₂×C₄	—	2	1	no	—
1363	C₂×C₄	—	2	1	no	—
1364	C₂×C₄	—	2	1	no	—
1365	C₂×C₄	—	2	1	no	—
1366	C₂×C₄	—	2	1	no	—
1367	C₂×C₄	—	2	1	no	—
1368	C₂×C₄	—	2	1	no	—
1369	C₂×C₄	—	2	1	no	—
1370	C₂×C₄	—	2	1	no	—
1371	C₂×C₄	—	2	1	no	—
1372	C₂×C₄	—	2	1	no	—
1373	C₂×C₄	—	2	1	no	—
1374	C₂×C₄	—	2	1	no	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	1	no	—
1377	C₂×C₄	—	2	1	no	—
1378	C₂×C₄	—	2	1	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	1	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	1	no	—
1383	C₂×C₄	—	2	1	no	—
1384	C₂×C₄	—	2	1	no	—
1385	C₂×C₄	—	2	1	no	—
1386	C₂×C₄	—	4	1	no	—
1387	C₂×C₄	—	4	1	no	—
1388	C₂×C₄	—	4	1	no	—
1389	C₂×C₄	—	4	2	no	—
1390	C₂×C₄	—	4	2	no	—
1391	C₂×C₄	—	4	2	no	—
1392	C₂×C₄	—	4	2	no	—
1393	C₂×C₄	—	4	2	no	—
1394	C₂×C₄	—	4	2	no	—
1395	C₂×C₄	—	4	2	no	—
1396	C₂×C₄	—	4	2	no	—
1397	C₂×C₄	—	4	1	no	—
1398	C₂×C₄	—	4	1	no	—
1399	C₂×C₄	—	4	1	no	—
1400	C₂×C₄	—	4	1	no	—
1401	C₂×C₄	—	4	1	no	—
1402	C₂×C₄	—	4	1	no	—
1403	C₂×C₄	—	4	1	no	—
1404	C₂×C₄	—	4	1	no	—
1405	C₂×C₄	—	8	1	no	—
1406	C₂×C₄	—	8	1	no	—
1407	C₂×C₄	—	8	1	no	—
1408	C₂×C₄	—	8	1	no	—
1409	C₂×C₄	—	8	1	no	—
1410	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1411	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1412	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1413	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1414	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1415	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1416	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1417	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1418	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1419	C₂×C₄	C₂⁴×C₄	1	1	yes	characteristic
1420	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1421	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1422	C₈	—	2	2	no	—
1423	C₈	—	2	1	no	—
1424	C₈	—	2	1	no	—
1425	C₈	—	2	1	no	—
1426	C₈	—	2	1	no	—
1427	C₈	—	2	1	no	—
1428	C₈	—	2	1	no	—
1429	C₈	—	2	1	no	—
1430	C₈	—	2	1	no	—
1431	C₈	—	2	1	no	—
1432	C₈	—	2	1	no	—
1433	C₈	—	2	1	no	—
1434	C₈	—	2	1	no	—
1435	C₈	—	2	1	no	—
1436	C₈	—	4	1	no	—
1437	C₈	—	4	1	no	—
1438	C₈	—	4	1	no	—
1439	C₈	—	4	1	no	—
1440	C₈	—	4	1	no	—
1441	C₈	—	4	1	no	—
1442	C₈	—	4	1	no	—
1443	C₈	—	4	1	no	—
1444	C₈	—	4	1	no	—
1445	C₈	—	4	1	no	—
1446	C₈	—	4	1	no	—
1447	C₈	C₂×#131	1	2	yes	—
1448	C₈	#575	1	2	yes	—
1449	C₈	#575	1	2	yes	—
1450	C₂²	—	2	1	no	—
1451	C₂²	—	2	1	no	—
1452	C₂²	—	2	1	no	—
1453	C₂²	—	2	1	no	—
1454	C₂²	—	2	1	no	—
1455	C₂²	—	2	1	no	—
1456	C₂²	—	2	2	no	—
1457	C₂²	—	2	1	no	—
1458	C₂²	—	2	1	no	—
1459	C₂²	—	2	1	no	—
1460	C₂²	—	4	1	no	—
1461	C₂²	—	4	1	no	—
1462	C₂²	—	4	1	no	—
1463	C₂²	—	4	1	no	—
1464	C₂²	—	4	1	no	—
1465	C₂²	—	4	1	no	—
1466	C₂²	—	4	1	no	—
1467	C₂²	—	4	1	no	—
1468	C₂²	—	4	1	no	—
1469	C₂²	—	4	1	no	—
1470	C₂²	—	4	1	no	—
1471	C₂²	—	8	4	no	—
1472	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
1473	C₄	—	2	1	no	—
1474	C₄	—	2	1	no	—
1475	C₄	—	2	1	no	—
1476	C₄	—	2	1	no	—
1477	C₄	—	2	1	no	—
1478	C₄	—	2	1	no	—
1479	C₄	—	2	1	no	—
1480	C₄	—	2	2	no	—
1481	C₄	—	2	1	no	—
1482	C₄	—	2	1	no	—
1483	C₄	—	2	1	no	—
1484	C₄	—	4	1	no	—
1485	C₄	—	4	1	no	—
1486	C₄	—	4	1	no	—
1487	C₄	—	4	1	no	—
1488	C₄	—	4	1	no	—
1489	C₄	—	4	1	no	—
1490	C₄	—	4	1	no	—
1491	C₄	—	4	1	no	—
1492	C₄	—	4	1	no	—
1493	C₄	—	4	1	no	—
1494	C₄	—	4	1	no	—
1495	C₄	C₂²×#131	1	1	yes	characteristic
1496	C₄	#3573	1	1	yes	characteristic
1497	C₄	C₂×#575	1	1	yes	characteristic
1498	C₄	C₂×#575	1	1	yes	characteristic
1499	C₂	—	4	1	no	—
1500	C₂	—	4	1	no	—
1501	C₂	—	4	1	no	—
1502	C₂	—	4	2	no	—
1503	C₂	—	8	1	no	—
1504	C₂	—	8	1	no	—
1505	C₂	—	8	1	no	—
1506	C₂	D₄×#131	1	1	yes	characteristic
1507	C₂	C₄×#575	1	1	yes	characteristic
1508	C₂	#60183	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₈	C₂²×D₄
commutator	C₂×C₄	C₂⁴×C₄
Frattini, cosocle	C₄²	C₂⁵
socle	C₂²	C₂²×C₄×D₄
prime radical	#61441	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₈ ◁ C₄×#131 ◁ G
LECS	G ▷ C₄² ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #60218	C₂	semidirect
3. #60215	C₂	semidirect
4. #18078	C₂	semidirect
5. #18077	C₂	semidirect
6. #18075	C₂	semidirect
7. #18048	C₂	semidirect
8. #18047	C₂	semidirect
9. #18041	C₂	semidirect
10. #18013	C₂	semidirect
11. #18012	C₂	semidirect
12. #18007	C₂	semidirect
13. #18006	C₂	semidirect
14. #18005	C₂	semidirect
15. #18002	C₂	semidirect
16. #17965	C₂	semidirect
17. #17964	C₂	semidirect
18. #17959	C₂	semidirect
19. #17913	C₂	semidirect
20. #17912	C₂	semidirect
21. #17911	C₂	semidirect
22. #17910	C₂	semidirect
23. #17904	C₂	semidirect
24. #17904	C₂	semidirect
25. C₈×#137	C₂	semidirect
26. C₈×AGL(1,ℤ/8)	C₂	semidirect
27. C₈×#135	C₂	semidirect
28. #17831	C₂	semidirect
29. #17516	C₂	semidirect
30. #17513	C₂	semidirect
31. #17335	C₂	semidirect
60. #2971	C₂²	semidirect
68. #2969	C₂²	semidirect
78. #2966	C₂²	semidirect
84. C₈×#41	C₂²	semidirect
85. Q₈×M₁₆	C₂²	semidirect
88. C₂×C₈×Q₈	C₂²	semidirect
93. #2935	C₂²	semidirect
97. #2931	C₂²	semidirect
109. #1593	C₂²	semidirect
110. #1593	C₂²	semidirect
111. #1592	C₂²	semidirect
112. #1592	C₂²	semidirect
113. #1592	C₂²	semidirect
114. #1592	C₂²	semidirect
115. #1591	C₂²	semidirect
117. #1590	C₂²	semidirect
121. #1588	C₂²	semidirect
122. #1588	C₂²	semidirect
123. #1587	C₂²	semidirect
124. #1587	C₂²	semidirect
125. #1587	C₂²	semidirect
126. #1587	C₂²	semidirect
133. #1585	C₂²	semidirect
134. #1585	C₂²	semidirect
135. #1584	C₂²	semidirect
136. #1584	C₂²	semidirect
138. #1583	C₂²	semidirect
140. #1582	C₂²	semidirect
145. #1579	C₂²	semidirect
146. #1579	C₂²	semidirect
151. C₈×Q₁₆	C₂²	semidirect
152. C₈×Q₁₆	C₂²	semidirect
153. C₈×Q₁₆	C₂²	semidirect
154. C₈×Q₁₆	C₂²	semidirect
155. C₈×Q₁₆	C₂²	semidirect
161. C₈×SD₁₆	C₂²	semidirect
162. C₈×SD₁₆	C₂²	semidirect
163. C₈×SD₁₆	C₂²	semidirect
164. C₈×SD₁₆	C₂²	semidirect
165. C₈×SD₁₆	C₂²	semidirect
172. #1574	C₂²	semidirect
174. #1573	C₂²	semidirect
175. #1572	C₂²	semidirect
176. #1572	C₂²	semidirect
178. #1569	C₂²	semidirect
179. #1568	C₂²	semidirect
181. #1565	C₂²	semidirect
182. #1564	C₂²	semidirect
184. #1496	C₂²	semidirect
188. #1494	C₂²	semidirect
189. #1491	C₂²	semidirect
194. #1488	C₂²	semidirect
196. #1484	C₂²	semidirect
200. #1482	C₂²	semidirect
201. #1479	C₂²	semidirect
206. #1476	C₂²	semidirect
208. #1455	C₂²	semidirect
210. #1453	C₂²	semidirect
211. #1451	C₂²	semidirect
212. #1451	C₂²	semidirect
213. #1450	C₂²	semidirect
216. C₈×M₁₆	C₂²	semidirect
217. C₈×M₁₆	C₂²	semidirect
218. C₂×C₈²	C₂²	semidirect
1134. SD₁₆	#131	semidirect

Maximal subgroups

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

subgroup	index
#61441	2
#60218	2
#60215	2
#18078	2
#18077	2
#18075	2
#18048	2
#18047	2
#18041	2
#18013	2
#18012	2
#18007	2
#18006	2
#18005	2
#18002	2
#17965	2
#17964	2
#17959	2
#17913	2
#17912	2
#17911	2
#17910	2
#17904	2
C₈×#137	2
C₈×AGL(1,ℤ/8)	2
C₈×#135	2
#17831	2
#17516	2
#17513	2
#17335	2