Subgroups — #6401033

Order 512.

1706 conjugacy classes of subgroups.

The subgroup lattice has 1666 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#61401	C₂	1	1	yes	maximal, characteristic
2	#60275	C₂	1	1	yes	maximal, characteristic, complemented
3	#60219	C₂	1	1	yes	maximal, characteristic, complemented
4	#23181	C₂	1	1	yes	maximal, characteristic, complemented
5	#23181	C₂	1	1	yes	maximal, characteristic, complemented
6	#23179	C₂	1	1	yes	maximal, characteristic, complemented
7	#23115	C₂	1	1	yes	maximal, characteristic, complemented
8	#23115	C₂	1	1	yes	maximal, characteristic, complemented
9	#23113	C₂	1	1	yes	maximal, characteristic, complemented
10	#23017	C₂	1	1	yes	maximal, characteristic, complemented
11	#23017	C₂	1	1	yes	maximal, characteristic, complemented
12	#23015	C₂	1	1	yes	maximal, characteristic, complemented
13	#22784	C₂	1	1	yes	maximal, characteristic, complemented
14	#22784	C₂	1	1	yes	maximal, characteristic, complemented
15	#22783	C₂	1	1	yes	maximal, characteristic, complemented
16	#22747	C₂	1	1	yes	maximal, characteristic, complemented
17	#22551	C₂	1	1	yes	maximal, characteristic, complemented
18	#22551	C₂	1	1	yes	maximal, characteristic, complemented
19	#22283	C₂	1	1	yes	maximal, characteristic, complemented
20	#22282	C₂	1	1	yes	maximal, characteristic, complemented
21	#22281	C₂	1	1	yes	maximal, characteristic, complemented
22	#22167	C₂	1	1	yes	maximal, characteristic, complemented
23	#22167	C₂	1	1	yes	maximal, characteristic, complemented
24	#22165	C₂	1	1	yes	maximal, characteristic, complemented
25	#21519	C₂	1	1	yes	maximal, characteristic, complemented
26	#21519	C₂	1	1	yes	maximal, characteristic, complemented
27	#21517	C₂	1	1	yes	maximal, characteristic, complemented
28	#21140	C₂	1	1	yes	maximal, characteristic, complemented
29	#21139	C₂	1	1	yes	maximal, characteristic, complemented
30	#21138	C₂	1	1	yes	maximal, characteristic, complemented
31	#20575	C₂	1	1	yes	maximal, characteristic, complemented
32	#3480	C₂²	1	1	yes	characteristic
33	#3480	C₂²	1	1	yes	characteristic
34	#3403	C₄	1	1	yes	characteristic, complemented
35	#3403	C₄	1	1	yes	characteristic, complemented
36	#3402	C₄	1	1	yes	characteristic, complemented
37	#3402	C₄	1	1	yes	characteristic, complemented
38	#3401	C₄	1	1	yes	characteristic, complemented
39	#3401	C₄	1	1	yes	characteristic, complemented
40	#3401	C₄	1	1	yes	characteristic, complemented
41	#3401	C₄	1	1	yes	characteristic, complemented
42	#3400	C₄	1	1	yes	characteristic, complemented
43	#3400	C₄	1	1	yes	characteristic, complemented
44	#3399	C₄	1	1	yes	characteristic, complemented
45	#3399	C₄	1	1	yes	characteristic, complemented
46	#3398	C₄	1	1	yes	characteristic, complemented
47	#3398	C₄	1	1	yes	characteristic, complemented
48	#3397	C₄	1	1	yes	characteristic, complemented
49	#3397	C₄	1	1	yes	characteristic, complemented
50	#3150	C₂²	1	1	yes	characteristic
51	#3150	C₂²	1	1	yes	characteristic
52	#3147	C₂²	1	1	yes	characteristic
53	#3035	C₂²	1	1	yes	characteristic
54	#3035	C₂²	1	1	yes	characteristic
55	#3035	C₂²	1	1	yes	characteristic
56	#3035	C₂²	1	1	yes	characteristic
57	#3035	C₂²	1	1	yes	characteristic
58	#3035	C₂²	1	1	yes	characteristic
59	#2995	—	2	1	no	—
60	#2995	—	2	1	no	—
61	#2994	—	2	1	no	—
62	#2993	—	2	1	no	—
63	#2992	—	2	1	no	—
64	#2992	—	2	1	no	—
65	#2990	—	2	1	no	—
66	#2989	—	2	1	no	—
67	#2970	—	2	1	no	—
68	#2969	—	2	1	no	—
69	#2968	—	2	1	no	—
70	#2968	—	2	1	no	—
71	#2967	—	2	1	no	—
72	#2967	—	2	1	no	—
73	#2966	—	2	1	no	—
74	#2965	—	2	1	no	—
75	Q₈×M₁₆	C₂²	1	1	yes	characteristic
76	Q₈×M₁₆	C₂²	1	1	yes	characteristic
77	C₂×#446	C₂²	1	1	yes	characteristic
78	C₂×#446	C₂²	1	1	yes	characteristic
79	C₂×#444	C₂²	1	1	yes	characteristic
80	C₂×#444	C₂²	1	1	yes	characteristic
81	C₂×#443	C₂²	1	1	yes	characteristic
82	C₂×#443	C₂²	1	1	yes	characteristic
83	C₂×#443	C₂²	1	1	yes	characteristic
84	C₂×#443	C₂²	1	1	yes	characteristic
85	#2943	C₂²	1	1	yes	characteristic
86	#2943	C₂²	1	1	yes	characteristic
87	C₄×#135	C₂²	1	1	yes	characteristic
88	#2935	C₂²	1	1	yes	characteristic
89	#2935	C₂²	1	1	yes	characteristic
90	#2935	C₂²	1	1	yes	characteristic
91	#2935	C₂²	1	1	yes	characteristic
92	#2935	C₂²	1	1	yes	characteristic
93	#2935	C₂²	1	1	yes	characteristic
94	#2932	C₂²	1	1	yes	characteristic
95	#2932	C₂²	1	1	yes	characteristic
96	#2932	C₂²	1	1	yes	characteristic
97	#2932	C₂²	1	1	yes	characteristic
98	#2931	C₂²	1	1	yes	characteristic
99	#2931	C₂²	1	1	yes	characteristic
100	#2925	C₂²	1	1	yes	characteristic
101	#2925	C₂²	1	1	yes	characteristic
102	#2925	C₂²	1	1	yes	characteristic
103	#2923	C₂²	1	1	yes	characteristic
104	#2923	C₂²	1	1	yes	characteristic
105	#2922	C₂²	1	1	yes	characteristic
106	#2906	C₂²	1	1	yes	characteristic
107	#2906	C₂²	1	1	yes	characteristic
108	#2906	C₂²	1	1	yes	characteristic
109	#2875	C₂²	1	1	yes	characteristic
110	#2875	C₂²	1	1	yes	characteristic
111	C₄×#131	C₂²	1	1	yes	characteristic
112	#2295	C₂²	1	1	yes	characteristic
113	#1980	C₂²	1	1	yes	characteristic
114	#1980	C₂²	1	1	yes	characteristic
115	#1980	C₂²	1	1	yes	characteristic
116	#1980	C₂²	1	1	yes	characteristic
117	#1980	C₂²	1	1	yes	characteristic
118	#1980	C₂²	1	1	yes	characteristic
119	#1975	C₂²	1	1	yes	characteristic
120	#1975	C₂²	1	1	yes	characteristic
121	#1974	C₂²	1	1	yes	characteristic
122	#1974	C₂²	1	1	yes	characteristic
123	#1974	C₂²	1	1	yes	characteristic
124	#1974	C₂²	1	1	yes	characteristic
125	#1963	C₂²	1	1	yes	characteristic
126	#1963	C₂²	1	1	yes	characteristic
127	#1963	C₂²	1	1	yes	characteristic
128	#1963	C₂²	1	1	yes	characteristic
129	#1962	C₂²	1	1	yes	characteristic
130	#1962	C₂²	1	1	yes	characteristic
131	#1950	C₂²	1	1	yes	characteristic
132	#1950	C₂²	1	1	yes	characteristic
133	#1950	C₂²	1	1	yes	characteristic
134	#1950	C₂²	1	1	yes	characteristic
135	#1950	C₂²	1	1	yes	characteristic
136	#1950	C₂²	1	1	yes	characteristic
137	#1938	C₂²	1	1	yes	characteristic
138	#1938	C₂²	1	1	yes	characteristic
139	#1937	C₂²	1	1	yes	characteristic
140	#1937	C₂²	1	1	yes	characteristic
141	#1937	C₂²	1	1	yes	characteristic
142	#1937	C₂²	1	1	yes	characteristic
143	#1929	C₂²	1	1	yes	characteristic
144	#1929	C₂²	1	1	yes	characteristic
145	#1929	C₂²	1	1	yes	characteristic
146	#1929	C₂²	1	1	yes	characteristic
147	#1929	C₂²	1	1	yes	characteristic
148	#1929	C₂²	1	1	yes	characteristic
149	#1922	C₂²	1	1	yes	characteristic
150	#1922	C₂²	1	1	yes	characteristic
151	#1922	C₂²	1	1	yes	characteristic
152	#1922	C₂²	1	1	yes	characteristic
153	#1876	C₂²	1	1	yes	characteristic
154	#1876	C₂²	1	1	yes	characteristic
155	#1876	C₂²	1	1	yes	characteristic
156	#1876	C₂²	1	1	yes	characteristic
157	#1876	C₂²	1	1	yes	characteristic
158	#1876	C₂²	1	1	yes	characteristic
159	#1876	C₂²	1	1	yes	characteristic
160	#1876	C₂²	1	1	yes	characteristic
161	#1876	C₂²	1	1	yes	characteristic
162	#1876	C₂²	1	1	yes	characteristic
163	#1876	C₂²	1	1	yes	characteristic
164	#1876	C₂²	1	1	yes	characteristic
165	#1876	C₂²	1	1	yes	characteristic
166	#1876	C₂²	1	1	yes	characteristic
167	#1876	C₂²	1	1	yes	characteristic
168	#1876	C₂²	1	1	yes	characteristic
169	#1876	C₂²	1	1	yes	characteristic
170	#1876	C₂²	1	1	yes	characteristic
171	#1876	C₂²	1	1	yes	characteristic
172	#1876	C₂²	1	1	yes	characteristic
173	#1876	C₂²	1	1	yes	characteristic
174	#1876	C₂²	1	1	yes	characteristic
175	#1876	C₂²	1	1	yes	characteristic
176	#1876	C₂²	1	1	yes	characteristic
177	#1866	C₂²	1	1	yes	characteristic
178	#1866	C₂²	1	1	yes	characteristic
179	#1866	C₂²	1	1	yes	characteristic
180	#1866	C₂²	1	1	yes	characteristic
181	#1866	C₂²	1	1	yes	characteristic
182	#1866	C₂²	1	1	yes	characteristic
183	#1838	C₂²	1	1	yes	characteristic
184	#1838	C₂²	1	1	yes	characteristic
185	#1837	C₂²	1	1	yes	characteristic
186	#1806	C₂²	1	1	yes	characteristic
187	#1806	C₂²	1	1	yes	characteristic
188	#1806	C₂²	1	1	yes	characteristic
189	#1806	C₂²	1	1	yes	characteristic
190	#1806	C₂²	1	1	yes	characteristic
191	#1806	C₂²	1	1	yes	characteristic
192	#1778	C₂²	1	1	yes	characteristic
193	#1778	C₂²	1	1	yes	characteristic
194	C₄×#108	C₂²	1	1	yes	characteristic
195	#1771	C₂²	1	1	yes	characteristic
196	#1771	C₂²	1	1	yes	characteristic
197	#1771	C₂²	1	1	yes	characteristic
198	#1771	C₂²	1	1	yes	characteristic
199	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
200	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic
201	#1768	C₂²	1	1	yes	characteristic
202	#1768	C₂²	1	1	yes	characteristic
203	C₄×C₄⋊C₈	C₂²	1	1	yes	characteristic
204	#1765	C₂²	1	1	yes	characteristic
205	#1765	C₂²	1	1	yes	characteristic
206	#1764	C₂²	1	1	yes	characteristic
207	#1764	C₂²	1	1	yes	characteristic
208	#1764	C₂²	1	1	yes	characteristic
209	#1764	C₂²	1	1	yes	characteristic
210	#1759	C₂²	1	1	yes	characteristic
211	#1759	C₂²	1	1	yes	characteristic
212	#1759	C₂²	1	1	yes	characteristic
213	#1759	C₂²	1	1	yes	characteristic
214	C₄×#104	C₂²	1	1	yes	characteristic
215	C₄×#104	C₂²	1	1	yes	characteristic
216	#1746	C₂²	1	1	yes	characteristic
217	#1746	C₂²	1	1	yes	characteristic
218	#1745	C₂²	1	1	yes	characteristic
219	C₂×#135	C₂³	1	1	yes	characteristic
220	C₂×#135	C₂³	1	1	yes	characteristic
221	C₂×#135	C₂³	1	1	yes	characteristic
222	C₂×#135	C₂³	1	1	yes	characteristic
223	C₂×#135	C₂³	1	1	yes	characteristic
224	C₂×#135	C₂³	1	1	yes	characteristic
225	C₂×#135	C₂³	1	1	yes	characteristic
226	C₂×#135	C₂³	1	1	yes	characteristic
227	C₂×#135	C₂³	1	1	yes	characteristic
228	C₂×#131	C₂³	1	1	yes	characteristic
229	C₂×#131	C₂³	1	1	yes	characteristic
230	C₂×#131	C₂³	1	1	yes	characteristic
231	C₂×#131	C₂³	1	1	yes	characteristic
232	C₂×#131	C₂³	1	1	yes	characteristic
233	C₂×#131	C₂³	1	1	yes	characteristic
234	C₂×#131	C₂³	1	1	yes	characteristic
235	C₂×#131	C₂³	1	1	yes	characteristic
236	C₂×#131	C₂³	1	1	yes	characteristic
237	C₂×#131	C₂³	1	1	yes	characteristic
238	C₂×#131	C₂³	1	1	yes	characteristic
239	C₂×#131	C₂³	1	1	yes	characteristic
240	#559	C₂×C₄	1	1	yes	characteristic
241	#559	C₂×C₄	1	1	yes	characteristic
242	#559	C₂×C₄	1	1	yes	characteristic
243	#559	C₂×C₄	1	1	yes	characteristic
244	#559	C₂×C₄	1	1	yes	characteristic
245	#559	C₂×C₄	1	1	yes	characteristic
246	#557	C₂×C₄	1	1	yes	characteristic
247	#557	C₂×C₄	1	1	yes	characteristic
248	#556	C₂×C₄	1	1	yes	characteristic
249	#556	C₂×C₄	1	1	yes	characteristic
250	#556	C₂×C₄	1	1	yes	characteristic
251	#556	C₂×C₄	1	1	yes	characteristic
252	#556	C₂×C₄	1	1	yes	characteristic
253	#556	C₂×C₄	1	1	yes	characteristic
254	#553	—	2	1	no	—
255	#553	—	2	1	no	—
256	#553	—	2	1	no	—
257	#553	—	2	1	no	—
258	#553	—	2	1	no	—
259	#553	—	2	1	no	—
260	#550	C₂×C₄	1	1	yes	characteristic
261	#550	C₂×C₄	1	1	yes	characteristic
262	#548	—	2	1	no	—
263	#548	—	2	1	no	—
264	#532	C₂³	1	1	yes	characteristic
265	#532	C₂³	1	1	yes	characteristic
266	#532	C₂³	1	1	yes	characteristic
267	#532	C₂³	1	1	yes	characteristic
268	#532	C₂³	1	1	yes	characteristic
269	#532	C₂³	1	1	yes	characteristic
270	#529	—	2	1	no	—
271	#529	—	2	1	no	—
272	#529	—	2	1	no	—
273	#529	—	2	1	no	—
274	#529	—	2	1	no	—
275	#529	—	2	1	no	—
276	C₄×#41	—	2	1	no	—
277	C₄×#41	—	2	1	no	—
278	C₄×#41	C₂³	1	1	yes	characteristic
279	C₄×#41	C₂³	1	1	yes	characteristic
280	C₄×#41	C₂³	1	1	yes	characteristic
281	C₄×#41	C₂³	1	1	yes	characteristic
282	C₄×#41	C₂³	1	1	yes	characteristic
283	C₄×#41	C₂³	1	1	yes	characteristic
284	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
285	#497	C₂×C₄	1	1	yes	characteristic
286	#497	C₂×C₄	1	1	yes	characteristic
287	#497	C₂×C₄	1	1	yes	characteristic
288	#497	C₂×C₄	1	1	yes	characteristic
289	#497	C₂×C₄	1	1	yes	characteristic
290	#497	C₂×C₄	1	1	yes	characteristic
291	#497	C₂×C₄	1	1	yes	characteristic
292	#497	C₂×C₄	1	1	yes	characteristic
293	#496	C₂×C₄	1	1	yes	characteristic
294	#496	C₂×C₄	1	1	yes	characteristic
295	#496	C₂×C₄	1	1	yes	characteristic
296	#496	C₂×C₄	1	1	yes	characteristic
297	#496	C₂×C₄	1	1	yes	characteristic
298	#496	C₂×C₄	1	1	yes	characteristic
299	#496	C₂×C₄	1	1	yes	characteristic
300	#496	C₂×C₄	1	1	yes	characteristic
301	#495	C₂×C₄	1	1	yes	characteristic
302	#495	C₂×C₄	1	1	yes	characteristic
303	#495	C₂×C₄	1	1	yes	characteristic
304	#495	C₂×C₄	1	1	yes	characteristic
305	#494	C₂×C₄	1	1	yes	characteristic
306	#493	C₂×C₄	1	1	yes	characteristic
307	#492	C₂×C₄	1	1	yes	characteristic
308	#492	C₂×C₄	1	1	yes	characteristic
309	#464	C₂×C₄	1	1	yes	characteristic
310	#464	C₂×C₄	1	1	yes	characteristic
311	#464	C₂×C₄	1	1	yes	characteristic
312	#464	C₂×C₄	1	1	yes	characteristic
313	#464	C₂×C₄	1	1	yes	characteristic
314	#464	C₂×C₄	1	1	yes	characteristic
315	#464	C₂×C₄	1	1	yes	characteristic
316	#464	C₂×C₄	1	1	yes	characteristic
317	#464	C₂×C₄	1	1	yes	characteristic
318	#464	C₂×C₄	1	1	yes	characteristic
319	#464	C₂×C₄	1	1	yes	characteristic
320	#464	C₂×C₄	1	1	yes	characteristic
321	#463	C₂×C₄	1	1	yes	characteristic
322	#463	C₂×C₄	1	1	yes	characteristic
323	#463	C₂×C₄	1	1	yes	characteristic
324	#463	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	#463	C₂×C₄	1	1	yes	characteristic
330	#463	C₂×C₄	1	1	yes	characteristic
331	#463	C₂×C₄	1	1	yes	characteristic
332	#463	C₂×C₄	1	1	yes	characteristic
333	#462	C₂×C₄	1	1	yes	characteristic
334	#462	C₂×C₄	1	1	yes	characteristic
335	#462	C₂×C₄	1	1	yes	characteristic
336	#462	C₂×C₄	1	1	yes	characteristic
337	#462	C₂×C₄	1	1	yes	characteristic
338	#462	C₂×C₄	1	1	yes	characteristic
339	#461	C₂×C₄	1	1	yes	characteristic
340	#461	C₂×C₄	1	1	yes	characteristic
341	#461	C₂×C₄	1	1	yes	characteristic
342	#461	C₂×C₄	1	1	yes	characteristic
343	#461	C₂×C₄	1	1	yes	characteristic
344	#461	C₂×C₄	1	1	yes	characteristic
345	#460	C₂×C₄	1	1	yes	characteristic
346	#460	C₂×C₄	1	1	yes	characteristic
347	#460	C₂×C₄	1	1	yes	characteristic
348	#460	C₂×C₄	1	1	yes	characteristic
349	#460	C₂×C₄	1	1	yes	characteristic
350	#460	C₂×C₄	1	1	yes	characteristic
351	#459	C₂×C₄	1	1	yes	characteristic
352	#459	C₂×C₄	1	1	yes	characteristic
353	#459	C₂×C₄	1	1	yes	characteristic
354	#459	C₂×C₄	1	1	yes	characteristic
355	#459	C₂×C₄	1	1	yes	characteristic
356	#459	C₂×C₄	1	1	yes	characteristic
357	#446	—	2	1	no	—
358	#446	—	2	1	no	—
359	#446	—	2	1	no	—
360	#446	—	2	1	no	—
361	#446	—	2	1	no	—
362	#446	—	2	1	no	—
363	#446	C₂×C₄	1	1	yes	characteristic
364	#446	C₂×C₄	1	1	yes	characteristic
365	#446	C₂×C₄	1	1	yes	characteristic
366	#446	C₂×C₄	1	1	yes	characteristic
367	#446	C₂×C₄	1	1	yes	characteristic
368	#446	C₂×C₄	1	1	yes	characteristic
369	#446	C₂×C₄	1	1	yes	characteristic
370	#446	C₂×C₄	1	1	yes	characteristic
371	#446	D₄	1	1	yes	characteristic
372	#446	D₄	1	1	yes	characteristic
373	#446	D₄	1	1	yes	characteristic
374	#446	D₄	1	1	yes	characteristic
375	#446	D₄	1	1	yes	characteristic
376	#446	D₄	1	1	yes	characteristic
377	#446	D₄	1	1	yes	characteristic
378	#446	D₄	1	1	yes	characteristic
379	C₈×Q₈	—	2	1	no	—
380	C₈×Q₈	—	2	1	no	—
381	#444	—	4	2	no	—
382	#444	—	4	2	no	—
383	#443	—	4	2	no	—
384	#443	—	4	2	no	—
385	#443	—	4	2	no	—
386	#443	—	4	2	no	—
387	#442	C₂×C₄	1	1	yes	characteristic
388	#442	C₂×C₄	1	1	yes	characteristic
389	#442	C₂×C₄	1	1	yes	characteristic
390	#442	C₂×C₄	1	1	yes	characteristic
391	#441	C₂×C₄	1	1	yes	characteristic
392	#441	C₂×C₄	1	1	yes	characteristic
393	#441	C₂×C₄	1	1	yes	characteristic
394	#441	C₂×C₄	1	1	yes	characteristic
395	#440	C₂×C₄	1	1	yes	characteristic
396	#440	C₂×C₄	1	1	yes	characteristic
397	#440	C₂×C₄	1	1	yes	characteristic
398	#440	C₂×C₄	1	1	yes	characteristic
399	#440	C₂×C₄	1	1	yes	characteristic
400	#440	C₂×C₄	1	1	yes	characteristic
401	#440	C₂×C₄	1	1	yes	characteristic
402	#440	C₂×C₄	1	1	yes	characteristic
403	C₄×Q₁₆	C₂×C₄	1	1	yes	characteristic
404	C₄×Q₁₆	C₂×C₄	1	1	yes	characteristic
405	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic
406	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic
407	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic
408	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic
409	C₄×D₈	C₂×C₄	1	1	yes	characteristic
410	C₄×D₈	C₂×C₄	1	1	yes	characteristic
411	#436	—	2	1	no	—
412	#436	—	2	1	no	—
413	#436	—	2	1	no	—
414	#436	—	2	1	no	—
415	#436	—	2	1	no	—
416	#436	—	2	1	no	—
417	#436	—	2	1	no	—
418	#436	—	2	1	no	—
419	#436	—	2	1	no	—
420	#436	—	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	—	2	1	no	—
437	#435	—	2	1	no	—
438	#435	—	2	1	no	—
439	#435	—	2	1	no	—
440	#435	—	2	1	no	—
441	#435	—	2	1	no	—
442	#435	—	2	1	no	—
443	#435	—	2	1	no	—
444	#435	—	2	1	no	—
445	#435	—	2	1	no	—
446	#435	—	2	1	no	—
447	#435	—	2	1	no	—
448	#435	—	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	—	2	1	no	—
456	C₈×D₄	—	2	1	no	—
457	C₈×D₄	—	2	1	no	—
458	C₈×D₄	—	2	1	no	—
459	#433	—	2	1	no	—
460	#433	—	2	1	no	—
461	#433	—	2	1	no	—
462	#433	—	2	1	no	—
463	#433	—	2	1	no	—
464	#433	—	2	1	no	—
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	#432	—	2	1	no	—
472	#432	—	2	1	no	—
473	#432	—	2	1	no	—
474	#432	—	2	1	no	—
475	#432	—	2	1	no	—
476	#432	—	2	1	no	—
477	#432	—	2	1	no	—
478	#431	—	2	1	no	—
479	#431	—	2	1	no	—
480	#431	—	2	1	no	—
481	#431	—	2	1	no	—
482	#431	—	2	1	no	—
483	C₂×#108	C₂³	1	1	yes	characteristic
484	C₂×#108	C₂³	1	1	yes	characteristic
485	C₂×#108	C₂³	1	1	yes	characteristic
486	C₂×#108	C₂³	1	1	yes	characteristic
487	C₂×#108	C₂³	1	1	yes	characteristic
488	C₂×#108	C₂³	1	1	yes	characteristic
489	#427	C₂³	1	1	yes	characteristic
490	#424	—	2	1	no	—
491	#424	—	2	1	no	—
492	#424	—	2	1	no	—
493	#424	—	2	1	no	—
494	#424	—	2	1	no	—
495	#424	—	2	1	no	—
496	#424	C₂³	1	1	yes	characteristic
497	#424	C₂³	1	1	yes	characteristic
498	#424	C₂³	1	1	yes	characteristic
499	#424	C₂³	1	1	yes	characteristic
500	#423	—	2	1	no	—
501	#423	—	2	1	no	—
502	#423	—	2	1	no	—
503	#423	C₂³	1	1	yes	characteristic
504	#423	C₂³	1	1	yes	characteristic
505	#423	C₂³	1	1	yes	characteristic
506	#423	C₂³	1	1	yes	characteristic
507	#423	C₂³	1	1	yes	characteristic
508	#423	C₂³	1	1	yes	characteristic
509	C₂×C₄⋊C₈	—	2	1	no	—
510	C₂×C₄⋊C₈	—	2	1	no	—
511	C₂×C₄⋊C₈	—	2	1	no	—
512	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
513	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
514	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
515	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
516	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
517	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
518	C₂×#104	C₂³	1	1	yes	characteristic
519	C₂×#104	C₂³	1	1	yes	characteristic
520	C₂×#104	C₂³	1	1	yes	characteristic
521	C₂×#104	C₂³	1	1	yes	characteristic
522	C₂×#104	C₂³	1	1	yes	characteristic
523	C₂×#104	C₂³	1	1	yes	characteristic
524	C₂×#104	C₂³	1	1	yes	characteristic
525	C₂×#104	C₂³	1	1	yes	characteristic
526	C₂×#104	C₂³	1	1	yes	characteristic
527	C₂×#104	C₂³	1	1	yes	characteristic
528	C₂×#104	C₂³	1	1	yes	characteristic
529	C₂×#104	C₂³	1	1	yes	characteristic
530	C₂×#104	C₂³	1	1	yes	characteristic
531	C₂×#104	C₂³	1	1	yes	characteristic
532	C₂×#104	C₂³	1	1	yes	characteristic
533	C₂×#104	C₂³	1	1	yes	characteristic
534	C₂×#104	C₂³	1	1	yes	characteristic
535	C₂×#104	C₂³	1	1	yes	characteristic
536	C₂×#104	C₂³	1	1	yes	characteristic
537	C₂×#104	C₂³	1	1	yes	characteristic
538	C₂×#104	C₂³	1	1	yes	characteristic
539	C₂×#104	C₂³	1	1	yes	characteristic
540	C₂×#104	C₂³	1	1	yes	characteristic
541	C₂×#104	C₂³	1	1	yes	characteristic
542	#416	C₂³	1	1	yes	characteristic
543	#416	C₂³	1	1	yes	characteristic
544	#416	C₂³	1	1	yes	characteristic
545	#416	C₂³	1	1	yes	characteristic
546	#416	C₂³	1	1	yes	characteristic
547	#416	C₂³	1	1	yes	characteristic
548	#408	C₂³	1	1	yes	characteristic
549	#408	C₂³	1	1	yes	characteristic
550	#408	C₂³	1	1	yes	characteristic
551	#408	C₂³	1	1	yes	characteristic
552	#408	C₂³	1	1	yes	characteristic
553	#408	C₂³	1	1	yes	characteristic
554	#408	C₂³	1	1	yes	characteristic
555	#408	C₂³	1	1	yes	characteristic
556	#408	C₂³	1	1	yes	characteristic
557	#408	C₂³	1	1	yes	characteristic
558	#408	C₂³	1	1	yes	characteristic
559	#408	C₂³	1	1	yes	characteristic
560	#405	—	2	1	no	—
561	#405	—	2	1	no	—
562	#405	—	2	1	no	—
563	#405	—	2	1	no	—
564	#405	—	2	1	no	—
565	#405	—	2	1	no	—
566	#405	C₂³	1	1	yes	characteristic
567	#405	C₂³	1	1	yes	characteristic
568	#405	C₂³	1	1	yes	characteristic
569	#405	C₂³	1	1	yes	characteristic
570	C₄×M₁₆	—	2	1	no	—
571	C₄×M₁₆	—	2	1	no	—
572	C₄×M₁₆	—	2	1	no	—
573	C₄×M₁₆	C₂³	1	1	yes	characteristic
574	C₄×M₁₆	C₂³	1	1	yes	characteristic
575	C₄×M₁₆	C₂³	1	1	yes	characteristic
576	C₄×M₁₆	C₂³	1	1	yes	characteristic
577	C₄×M₁₆	C₂³	1	1	yes	characteristic
578	C₄×M₁₆	C₂³	1	1	yes	characteristic
579	C₂×#97	—	2	1	no	—
580	C₂×#97	—	2	1	no	—
581	C₂×#97	C₂³	1	1	yes	characteristic
582	C₂×#97	C₂³	1	1	yes	characteristic
583	C₂×#97	C₂³	1	1	yes	characteristic
584	C₂×#97	C₂³	1	1	yes	characteristic
585	C₂×#97	C₂³	1	1	yes	characteristic
586	C₂×#97	C₂³	1	1	yes	characteristic
587	C₂×C₄×C₈	—	2	1	no	—
588	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
589	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
590	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
591	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
592	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
593	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
594	#391	—	2	1	no	—
595	#389	—	2	1	no	—
596	#387	—	2	1	no	—
597	#387	—	2	1	no	—
598	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
599	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
600	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
601	#376	C₂³	1	1	yes	characteristic
602	#376	C₂³	1	1	yes	characteristic
603	C₄³	C₂³	1	1	yes	characteristic
604	#341	C₂³	1	1	yes	characteristic
605	#341	C₂³	1	1	yes	characteristic
606	#341	C₂³	1	1	yes	characteristic
607	#341	C₂³	1	1	yes	characteristic
608	#341	C₂³	1	1	yes	characteristic
609	#341	C₂³	1	1	yes	characteristic
610	#341	C₂³	1	1	yes	characteristic
611	#341	C₂³	1	1	yes	characteristic
612	#341	C₂³	1	1	yes	characteristic
613	#341	C₂³	1	1	yes	characteristic
614	#339	C₂³	1	1	yes	characteristic
615	#339	C₂³	1	1	yes	characteristic
616	#339	C₂³	1	1	yes	characteristic
617	#339	C₂³	1	1	yes	characteristic
618	#339	C₂³	1	1	yes	characteristic
619	#339	C₂³	1	1	yes	characteristic
620	#339	C₂³	1	1	yes	characteristic
621	#339	C₂³	1	1	yes	characteristic
622	#336	C₂³	1	1	yes	characteristic
623	#336	C₂³	1	1	yes	characteristic
624	#336	C₂³	1	1	yes	characteristic
625	#336	C₂³	1	1	yes	characteristic
626	#336	C₂³	1	1	yes	characteristic
627	#336	C₂³	1	1	yes	characteristic
628	#336	C₂³	1	1	yes	characteristic
629	#336	C₂³	1	1	yes	characteristic
630	#336	C₂³	1	1	yes	characteristic
631	#336	C₂³	1	1	yes	characteristic
632	C₂×#41	—	2	1	no	—
633	C₂×#41	—	2	1	no	—
634	C₂×#41	C₂⁴	1	1	yes	characteristic
635	C₂×#41	C₂⁴	1	1	yes	characteristic
636	C₂×#41	C₂⁴	1	1	yes	characteristic
637	C₂×#41	C₂⁴	1	1	yes	characteristic
638	C₂×#41	C₂⁴	1	1	yes	characteristic
639	C₂×#41	C₂⁴	1	1	yes	characteristic
640	C₂²×Q₈	#41	1	1	yes	characteristic
641	#135	—	4	1	no	—
642	#135	—	4	1	no	—
643	#135	—	4	1	no	—
644	#135	—	4	1	no	—
645	#135	—	4	1	no	—
646	#135	—	4	1	no	—
647	#135	—	4	1	no	—
648	#135	—	4	1	no	—
649	#135	—	4	1	no	—
650	#135	—	4	1	no	—
651	#135	—	4	1	no	—
652	#135	—	4	1	no	—
653	#135	—	4	1	no	—
654	#135	—	4	1	no	—
655	#135	—	4	1	no	—
656	#135	—	4	1	no	—
657	#135	—	4	1	no	—
658	#135	—	4	1	no	—
659	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
660	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
661	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
662	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
663	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
664	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
665	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
666	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
667	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
668	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
669	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
670	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
671	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
672	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
673	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
674	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
675	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
676	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
677	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
678	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
679	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
680	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
681	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
682	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
683	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
684	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
685	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
686	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
687	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
688	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
689	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
690	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
691	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
692	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
693	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
694	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
695	#131	—	2	2	no	—
696	#131	—	2	2	no	—
697	#131	—	2	2	no	—
698	#131	—	4	1	no	—
699	#131	—	4	1	no	—
700	#131	—	4	1	no	—
701	#131	—	4	1	no	—
702	#131	—	4	1	no	—
703	#131	—	4	1	no	—
704	#131	—	4	1	no	—
705	#131	—	4	1	no	—
706	#131	—	4	1	no	—
707	#131	—	4	1	no	—
708	#131	—	4	1	no	—
709	#131	—	4	1	no	—
710	#131	—	4	1	no	—
711	#131	—	4	1	no	—
712	#131	—	4	1	no	—
713	#131	—	4	1	no	—
714	#131	—	4	1	no	—
715	#131	—	4	1	no	—
716	#131	—	4	1	no	—
717	#131	—	4	1	no	—
718	#131	—	4	1	no	—
719	C₂×M₁₆	—	2	1	no	—
720	C₂×M₁₆	—	2	1	no	—
721	C₂×M₁₆	—	2	1	no	—
722	C₂×M₁₆	—	2	1	no	—
723	C₂×M₁₆	—	2	1	no	—
724	C₂×M₁₆	—	2	1	no	—
725	C₂×M₁₆	—	2	1	no	—
726	C₂×M₁₆	—	2	1	no	—
727	C₂×M₁₆	—	2	1	no	—
728	C₂×M₁₆	—	2	1	no	—
729	C₂×M₁₆	—	2	1	no	—
730	C₂×M₁₆	—	2	1	no	—
731	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
732	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
733	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
734	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
735	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
736	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
737	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
738	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
739	C₂²×C₈	—	2	1	no	—
740	C₂²×C₈	—	2	1	no	—
741	C₂²×C₈	—	2	1	no	—
742	C₂²×C₈	—	2	1	no	—
743	C₂²×C₈	—	2	1	no	—
744	C₂²×C₈	—	2	1	no	—
745	C₂²×C₈	—	2	1	no	—
746	C₂²×C₈	—	2	1	no	—
747	C₂²×C₈	—	2	1	no	—
748	C₂²×C₈	—	2	1	no	—
749	C₂²×C₈	—	2	1	no	—
750	C₂²×C₈	—	2	1	no	—
751	C₂²×C₈	C₂⁴	1	1	yes	characteristic
752	C₂²×C₈	C₂⁴	1	1	yes	characteristic
753	C₂²×C₈	C₂⁴	1	1	yes	characteristic
754	C₂²×C₈	C₂⁴	1	1	yes	characteristic
755	C₂²×C₈	C₂⁴	1	1	yes	characteristic
756	C₂²×C₈	C₂⁴	1	1	yes	characteristic
757	C₂²×C₈	C₂⁴	1	1	yes	characteristic
758	C₂²×C₈	C₂⁴	1	1	yes	characteristic
759	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
760	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
761	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
762	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
763	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
764	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
765	#127	C₂²×C₄	1	1	yes	characteristic
766	#127	C₂²×C₄	1	1	yes	characteristic
767	#127	C₂²×C₄	1	1	yes	characteristic
768	#127	C₂²×C₄	1	1	yes	characteristic
769	#127	C₂²×C₄	1	1	yes	characteristic
770	#127	C₂²×C₄	1	1	yes	characteristic
771	#126	—	2	1	no	—
772	#126	—	2	1	no	—
773	#126	—	2	1	no	—
774	#126	—	2	1	no	—
775	#126	—	2	1	no	—
776	#126	—	2	1	no	—
777	#126	—	2	1	no	—
778	#126	—	2	1	no	—
779	#126	—	2	1	no	—
780	#126	—	2	1	no	—
781	#126	—	2	1	no	—
782	#126	—	2	1	no	—
783	#125	—	2	1	no	—
784	#125	—	2	1	no	—
785	#125	—	2	1	no	—
786	#125	—	2	1	no	—
787	#125	—	2	1	no	—
788	#125	—	2	1	no	—
789	#124	—	2	1	no	—
790	#124	—	2	1	no	—
791	#124	—	2	1	no	—
792	#124	—	2	1	no	—
793	#124	—	2	1	no	—
794	#124	—	2	1	no	—
795	#124	C₂²×C₄	1	1	yes	characteristic
796	#124	C₂²×C₄	1	1	yes	characteristic
797	#124	C₂²×C₄	1	1	yes	characteristic
798	#124	C₂²×C₄	1	1	yes	characteristic
799	#124	C₂²×C₄	1	1	yes	characteristic
800	#124	C₂²×C₄	1	1	yes	characteristic
801	#124	C₂²×C₄	1	1	yes	characteristic
802	#124	C₂²×C₄	1	1	yes	characteristic
803	#124	C₂²×C₄	1	1	yes	characteristic
804	#124	C₂²×C₄	1	1	yes	characteristic
805	#124	C₂²×C₄	1	1	yes	characteristic
806	#124	C₂²×C₄	1	1	yes	characteristic
807	#123	—	2	1	no	—
808	#123	—	2	1	no	—
809	#123	—	2	1	no	—
810	#123	—	2	1	no	—
811	#123	—	2	1	no	—
812	#123	—	2	1	no	—
813	#123	—	2	1	no	—
814	#123	—	2	1	no	—
815	#123	—	2	1	no	—
816	#123	—	2	1	no	—
817	#123	—	2	1	no	—
818	#123	—	2	1	no	—
819	C₂²⋊Q₈	—	2	1	no	—
820	C₂²⋊Q₈	—	2	1	no	—
821	C₂²⋊Q₈	—	2	1	no	—
822	C₂²⋊Q₈	—	2	1	no	—
823	C₂²⋊Q₈	—	2	1	no	—
824	C₂²⋊Q₈	—	2	1	no	—
825	#121	—	2	1	no	—
826	#121	—	2	1	no	—
827	#121	—	2	1	no	—
828	#121	—	2	1	no	—
829	#121	—	2	1	no	—
830	#121	—	2	1	no	—
831	#121	—	2	1	no	—
832	#121	—	2	1	no	—
833	#121	—	2	1	no	—
834	#121	—	2	1	no	—
835	#121	—	2	1	no	—
836	#121	—	2	1	no	—
837	#121	—	2	1	no	—
838	#121	—	2	1	no	—
839	#121	—	2	1	no	—
840	#121	—	2	1	no	—
841	#121	—	2	1	no	—
842	#121	—	2	1	no	—
843	C₄×Q₈	—	2	1	no	—
844	C₄×Q₈	—	2	1	no	—
845	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
846	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
847	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
848	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
849	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
850	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
851	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
852	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
853	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
854	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
855	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
856	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
857	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
858	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
859	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
860	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
861	C₄×Q₈	C₂×D₄	1	1	yes	characteristic
862	C₄×Q₈	C₂×D₄	1	1	yes	characteristic
863	C₄×Q₈	C₂×D₄	1	1	yes	characteristic
864	C₄×Q₈	C₂×D₄	1	1	yes	characteristic
865	C₄×D₄	—	2	1	no	—
866	C₄×D₄	—	2	1	no	—
867	C₄×D₄	—	2	1	no	—
868	C₄×D₄	—	2	1	no	—
869	C₄×D₄	—	2	1	no	—
870	C₄×D₄	—	2	1	no	—
871	C₄×D₄	—	2	1	no	—
872	C₄×D₄	—	2	1	no	—
873	C₄×D₄	—	2	1	no	—
874	C₄×D₄	—	2	1	no	—
875	C₄×D₄	—	2	1	no	—
876	C₄×D₄	—	2	1	no	—
877	C₄×D₄	—	2	1	no	—
878	C₄×D₄	—	2	1	no	—
879	C₄×D₄	—	2	1	no	—
880	C₄×D₄	—	2	1	no	—
881	C₄×D₄	—	2	1	no	—
882	C₄×D₄	—	2	1	no	—
883	C₄×D₄	—	2	1	no	—
884	C₄×D₄	—	2	1	no	—
885	C₄×D₄	—	2	1	no	—
886	C₄×D₄	—	2	1	no	—
887	C₄×D₄	—	2	1	no	—
888	C₄×D₄	—	2	1	no	—
889	C₄×D₄	—	2	1	no	—
890	C₄×D₄	—	2	1	no	—
891	C₄×D₄	—	2	1	no	—
892	C₄×D₄	—	2	1	no	—
893	C₄×D₄	—	2	1	no	—
894	C₄×D₄	—	2	1	no	—
895	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
896	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
897	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
898	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
899	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
900	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
901	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
902	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
903	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
904	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
905	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
906	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
907	#117	—	2	1	no	—
908	#117	—	2	1	no	—
909	#117	—	2	1	no	—
910	#117	—	2	1	no	—
911	#117	—	2	1	no	—
912	#117	—	2	1	no	—
913	#117	—	2	1	no	—
914	#117	—	2	1	no	—
915	#117	—	2	1	no	—
916	#117	—	2	1	no	—
917	#117	—	2	1	no	—
918	#117	—	2	1	no	—
919	#117	C₂⁴	1	1	yes	characteristic
920	#117	C₂⁴	1	1	yes	characteristic
921	C₂×C₄⋊C₄	—	2	1	no	—
922	C₂×C₄⋊C₄	—	2	1	no	—
923	C₂×C₄⋊C₄	—	2	1	no	—
924	C₂×C₄⋊C₄	#41	1	1	yes	characteristic
925	C₂×C₄⋊C₄	#41	1	1	yes	characteristic
926	C₂×C₄⋊C₄	#41	1	1	yes	characteristic
927	C₂×C₄²	—	2	1	no	—
928	C₂×C₄²	—	2	1	no	—
929	C₂×C₄²	—	2	1	no	—
930	C₂×C₄²	—	2	1	no	—
931	C₂×C₄²	—	2	1	no	—
932	C₂×C₄²	—	2	1	no	—
933	C₂×C₄²	—	2	1	no	—
934	C₂×C₄²	—	2	1	no	—
935	C₂×C₄²	C₂⁴	1	1	yes	characteristic
936	C₂×C₄²	C₂⁴	1	1	yes	characteristic
937	C₂×C₄²	C₂⁴	1	1	yes	characteristic
938	C₂×C₄²	C₂⁴	1	1	yes	characteristic
939	C₂×C₄²	C₂⁴	1	1	yes	characteristic
940	C₂×C₄²	C₂⁴	1	1	yes	characteristic
941	C₂×C₄²	C₂⁴	1	1	yes	characteristic
942	#108	—	2	2	no	—
943	#108	—	2	2	no	—
944	#108	—	2	2	no	—
945	#108	—	4	1	no	—
946	#108	—	4	1	no	—
947	#108	—	4	1	no	—
948	#107	C₂²×C₄	1	1	yes	characteristic
949	#107	C₂²×C₄	1	1	yes	characteristic
950	#106	C₂²×C₄	1	1	yes	characteristic
951	#106	C₂²×C₄	1	1	yes	characteristic
952	C₄⋊C₈	—	2	1	no	—
953	C₄⋊C₈	—	2	1	no	—
954	C₄⋊C₈	—	2	1	no	—
955	C₄⋊C₈	—	2	1	no	—
956	C₄⋊C₈	—	2	1	no	—
957	C₄⋊C₈	—	2	1	no	—
958	C₄⋊C₈	—	2	1	no	—
959	C₄⋊C₈	—	2	1	no	—
960	C₄⋊C₈	—	2	1	no	—
961	C₄⋊C₈	—	2	1	no	—
962	C₄⋊C₈	—	2	1	no	—
963	C₄⋊C₈	—	2	1	no	—
964	C₄⋊C₈	—	2	1	no	—
965	C₄⋊C₈	—	2	1	no	—
966	C₄⋊C₈	—	2	1	no	—
967	C₄⋊C₈	—	2	1	no	—
968	C₄⋊C₈	—	2	1	no	—
969	C₄⋊C₈	—	2	1	no	—
970	C₄⋊C₈	—	2	1	no	—
971	C₄⋊C₈	—	2	1	no	—
972	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
973	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
974	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
975	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
976	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
977	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
978	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
979	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
980	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
981	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
982	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
983	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
984	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
985	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
986	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
987	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
988	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
989	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
990	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
991	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
992	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
993	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
994	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
995	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
996	#104	—	2	2	no	—
997	#104	—	2	2	no	—
998	#104	—	2	2	no	—
999	#104	—	4	1	no	—
1000	#104	—	4	1	no	—
1001	#104	—	4	1	no	—
1002	#104	—	4	1	no	—
1003	#104	—	4	1	no	—
1004	#104	—	4	1	no	—
1005	#104	—	4	1	no	—
1006	#104	—	4	1	no	—
1007	#104	—	4	1	no	—
1008	#104	—	4	1	no	—
1009	#104	—	4	1	no	—
1010	#104	—	4	1	no	—
1011	#104	—	4	1	no	—
1012	#104	—	4	1	no	—
1013	#104	—	4	1	no	—
1014	#104	—	4	1	no	—
1015	#104	—	4	1	no	—
1016	#104	—	4	1	no	—
1017	#104	—	4	1	no	—
1018	#104	—	4	1	no	—
1019	#104	—	4	1	no	—
1020	#103	C₂²×C₄	1	1	yes	characteristic
1021	#103	C₂²×C₄	1	1	yes	characteristic
1022	#103	C₂²×C₄	1	1	yes	characteristic
1023	#103	C₂²×C₄	1	1	yes	characteristic
1024	#103	C₂²×C₄	1	1	yes	characteristic
1025	#103	C₂²×C₄	1	1	yes	characteristic
1026	#103	C₂²×C₄	1	1	yes	characteristic
1027	#103	C₂²×C₄	1	1	yes	characteristic
1028	#103	C₂²×C₄	1	1	yes	characteristic
1029	#103	C₂²×C₄	1	1	yes	characteristic
1030	#103	C₂²×C₄	1	1	yes	characteristic
1031	#103	C₂²×C₄	1	1	yes	characteristic
1032	#102	C₂²×C₄	1	1	yes	characteristic
1033	#102	C₂²×C₄	1	1	yes	characteristic
1034	#102	C₂²×C₄	1	1	yes	characteristic
1035	#102	C₂²×C₄	1	1	yes	characteristic
1036	#102	C₂²×C₄	1	1	yes	characteristic
1037	#102	C₂²×C₄	1	1	yes	characteristic
1038	#102	C₂²×C₄	1	1	yes	characteristic
1039	#102	C₂²×C₄	1	1	yes	characteristic
1040	#102	C₂²×C₄	1	1	yes	characteristic
1041	#102	C₂²×C₄	1	1	yes	characteristic
1042	#102	C₂²×C₄	1	1	yes	characteristic
1043	#102	C₂²×C₄	1	1	yes	characteristic
1044	C₂²⋊C₈	—	2	1	no	—
1045	C₂²⋊C₈	—	2	1	no	—
1046	C₂²⋊C₈	—	2	1	no	—
1047	C₂²⋊C₈	—	2	1	no	—
1048	C₂²⋊C₈	—	2	1	no	—
1049	C₂²⋊C₈	—	2	1	no	—
1050	C₂²⋊C₈	—	2	1	no	—
1051	C₂²⋊C₈	—	2	1	no	—
1052	C₂²⋊C₈	—	2	1	no	—
1053	C₂²⋊C₈	—	2	1	no	—
1054	C₂²⋊C₈	—	2	1	no	—
1055	C₂²⋊C₈	—	2	1	no	—
1056	C₂²⋊C₈	—	2	1	no	—
1057	C₂²⋊C₈	—	2	1	no	—
1058	C₂²⋊C₈	—	2	1	no	—
1059	C₂²⋊C₈	—	2	1	no	—
1060	C₂²⋊C₈	—	2	1	no	—
1061	C₂²⋊C₈	—	2	1	no	—
1062	C₂²⋊C₈	—	2	1	no	—
1063	C₂²⋊C₈	—	2	1	no	—
1064	C₂²⋊C₈	—	2	1	no	—
1065	C₂²⋊C₈	—	2	1	no	—
1066	C₂²⋊C₈	—	2	1	no	—
1067	C₂²⋊C₈	—	2	1	no	—
1068	#97	—	2	1	no	—
1069	#97	—	2	1	no	—
1070	#97	—	2	1	no	—
1071	#97	—	2	1	no	—
1072	#97	—	2	1	no	—
1073	#97	—	2	1	no	—
1074	#97	—	2	1	no	—
1075	#97	—	2	1	no	—
1076	#97	—	2	1	no	—
1077	#97	—	2	1	no	—
1078	#97	—	4	1	no	—
1079	#97	—	4	1	no	—
1080	#97	C₂²×C₄	1	1	yes	characteristic
1081	#97	C₂²×C₄	1	1	yes	characteristic
1082	#97	C₂²×C₄	1	1	yes	characteristic
1083	#97	C₂²×C₄	1	1	yes	characteristic
1084	#97	C₂²×C₄	1	1	yes	characteristic
1085	#97	C₂²×C₄	1	1	yes	characteristic
1086	#97	C₂²×C₄	1	1	yes	characteristic
1087	#97	C₂²×C₄	1	1	yes	characteristic
1088	#97	C₂×D₄	1	1	yes	characteristic
1089	#97	C₂×D₄	1	1	yes	characteristic
1090	#97	C₂×D₄	1	1	yes	characteristic
1091	#97	C₂×D₄	1	1	yes	characteristic
1092	#97	C₂×D₄	1	1	yes	characteristic
1093	#97	C₂×D₄	1	1	yes	characteristic
1094	#97	C₂×D₄	1	1	yes	characteristic
1095	#97	C₂×D₄	1	1	yes	characteristic
1096	C₄×C₈	—	2	1	no	—
1097	C₄×C₈	—	2	1	no	—
1098	C₄×C₈	—	2	1	no	—
1099	C₄×C₈	—	2	1	no	—
1100	C₄×C₈	—	2	1	no	—
1101	C₄×C₈	—	2	1	no	—
1102	C₄×C₈	—	2	1	no	—
1103	C₄×C₈	—	2	1	no	—
1104	C₄×C₈	—	2	1	no	—
1105	C₄×C₈	—	2	1	no	—
1106	C₄×C₈	—	4	1	no	—
1107	C₄×C₈	—	4	1	no	—
1108	C₄×C₈	—	4	1	no	—
1109	C₄×C₈	—	4	1	no	—
1110	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
1111	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
1112	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
1113	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
1114	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1115	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1116	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1117	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1118	#95	—	2	1	no	—
1119	#95	—	2	1	no	—
1120	#95	—	2	1	no	—
1121	#95	—	2	1	no	—
1122	#95	—	2	1	no	—
1123	#95	—	2	1	no	—
1124	#95	—	2	1	no	—
1125	#41	—	2	1	no	—
1126	#41	—	2	1	no	—
1127	#41	—	2	1	no	—
1128	#41	—	2	1	no	—
1129	#41	—	2	1	no	—
1130	#41	—	2	1	no	—
1131	#41	—	2	1	no	—
1132	#41	—	2	1	no	—
1133	#41	—	2	1	no	—
1134	#41	—	2	1	no	—
1135	#41	—	2	1	no	—
1136	#41	—	2	1	no	—
1137	#41	—	2	1	no	—
1138	#41	—	2	1	no	—
1139	#41	—	2	1	no	—
1140	#41	—	2	1	no	—
1141	#41	—	2	1	no	—
1142	#41	—	2	1	no	—
1143	#41	—	2	1	no	—
1144	#41	—	2	1	no	—
1145	#41	—	2	1	no	—
1146	#41	—	2	1	no	—
1147	#41	—	2	1	no	—
1148	#41	—	2	1	no	—
1149	#41	—	8	2	no	—
1150	#41	—	8	2	no	—
1151	C₂×Q₈	—	8	1	no	—
1152	C₂×Q₈	C₄×D₄	1	1	yes	characteristic
1153	C₂×Q₈	C₄×D₄	1	1	yes	characteristic
1154	C₂×Q₈	C₄×D₄	1	1	yes	characteristic
1155	C₂×Q₈	C₄×D₄	1	1	yes	characteristic
1156	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1157	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1158	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1159	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1160	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1161	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1162	C₂×D₄	—	2	1	no	—
1163	C₂×D₄	—	2	1	no	—
1164	C₂×D₄	—	2	1	no	—
1165	C₂×D₄	—	2	1	no	—
1166	C₂×D₄	—	2	1	no	—
1167	C₂×D₄	—	2	1	no	—
1168	C₂×D₄	—	2	1	no	—
1169	C₂×D₄	—	2	1	no	—
1170	C₂×D₄	—	2	1	no	—
1171	C₂×D₄	—	2	1	no	—
1172	C₂×D₄	—	2	1	no	—
1173	C₂×D₄	—	2	1	no	—
1174	C₂×D₄	—	2	1	no	—
1175	C₂×D₄	—	2	1	no	—
1176	C₂×D₄	—	2	1	no	—
1177	C₂×D₄	—	2	1	no	—
1178	C₂×D₄	—	2	1	no	—
1179	C₂×D₄	—	2	1	no	—
1180	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1181	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1182	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1183	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1184	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1185	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1186	C₂²×C₄	—	2	1	no	—
1187	C₂²×C₄	—	2	1	no	—
1188	C₂²×C₄	—	2	1	no	—
1189	C₂²×C₄	—	2	1	no	—
1190	C₂²×C₄	—	2	1	no	—
1191	C₂²×C₄	—	2	1	no	—
1192	C₂²×C₄	—	2	1	no	—
1193	C₂²×C₄	—	2	1	no	—
1194	C₂²×C₄	—	2	1	no	—
1195	C₂²×C₄	—	2	1	no	—
1196	C₂²×C₄	—	2	1	no	—
1197	C₂²×C₄	—	2	1	no	—
1198	C₂²×C₄	—	2	1	no	—
1199	C₂²×C₄	—	2	1	no	—
1200	C₂²×C₄	—	2	1	no	—
1201	C₂²×C₄	—	2	1	no	—
1202	C₂²×C₄	—	2	1	no	—
1203	C₂²×C₄	—	2	1	no	—
1204	C₂²×C₄	—	2	1	no	—
1205	C₂²×C₄	—	2	1	no	—
1206	C₂²×C₄	—	2	1	no	—
1207	C₂²×C₄	—	2	1	no	—
1208	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1209	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1210	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1211	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1212	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1213	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1214	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1215	Q₁₆	—	4	1	no	—
1216	Q₁₆	—	4	1	no	—
1217	Q₁₆	—	4	1	no	—
1218	Q₁₆	—	4	1	no	—
1219	Q₁₆	—	4	1	no	—
1220	Q₁₆	—	4	1	no	—
1221	Q₁₆	—	4	1	no	—
1222	Q₁₆	—	4	1	no	—
1223	Q₁₆	—	4	1	no	—
1224	SD₁₆	—	4	1	no	—
1225	SD₁₆	—	4	1	no	—
1226	SD₁₆	—	4	1	no	—
1227	SD₁₆	—	4	1	no	—
1228	SD₁₆	—	4	1	no	—
1229	SD₁₆	—	4	1	no	—
1230	SD₁₆	—	4	1	no	—
1231	SD₁₆	—	4	1	no	—
1232	SD₁₆	—	4	1	no	—
1233	SD₁₆	—	4	1	no	—
1234	SD₁₆	—	4	1	no	—
1235	SD₁₆	—	4	1	no	—
1236	SD₁₆	—	4	1	no	—
1237	SD₁₆	—	4	1	no	—
1238	SD₁₆	—	4	1	no	—
1239	SD₁₆	—	4	1	no	—
1240	SD₁₆	—	4	1	no	—
1241	SD₁₆	—	4	1	no	—
1242	D₈	—	4	1	no	—
1243	D₈	—	4	1	no	—
1244	D₈	—	4	1	no	—
1245	D₈	—	4	1	no	—
1246	D₈	—	4	1	no	—
1247	D₈	—	4	1	no	—
1248	D₈	—	4	1	no	—
1249	D₈	—	4	1	no	—
1250	D₈	—	4	1	no	—
1251	M₁₆	—	2	1	no	—
1252	M₁₆	—	2	1	no	—
1253	M₁₆	—	2	1	no	—
1254	M₁₆	—	2	1	no	—
1255	M₁₆	—	2	1	no	—
1256	M₁₆	—	2	1	no	—
1257	M₁₆	—	2	1	no	—
1258	M₁₆	—	2	1	no	—
1259	M₁₆	—	2	1	no	—
1260	M₁₆	—	2	1	no	—
1261	M₁₆	—	2	1	no	—
1262	M₁₆	—	2	1	no	—
1263	M₁₆	—	2	1	no	—
1264	M₁₆	—	2	1	no	—
1265	M₁₆	—	2	1	no	—
1266	M₁₆	—	4	2	no	—
1267	M₁₆	—	4	2	no	—
1268	M₁₆	—	4	2	no	—
1269	M₁₆	—	4	2	no	—
1270	M₁₆	—	4	2	no	—
1271	M₁₆	—	4	2	no	—
1272	M₁₆	—	8	1	no	—
1273	M₁₆	—	8	1	no	—
1274	M₁₆	—	8	1	no	—
1275	M₁₆	—	8	1	no	—
1276	M₁₆	—	8	1	no	—
1277	M₁₆	—	8	1	no	—
1278	M₁₆	H(5,𝔽₂)	1	2	yes	—
1279	C₂×C₈	—	2	1	no	—
1280	C₂×C₈	—	2	1	no	—
1281	C₂×C₈	—	2	1	no	—
1282	C₂×C₈	—	2	1	no	—
1283	C₂×C₈	—	2	1	no	—
1284	C₂×C₈	—	2	1	no	—
1285	C₂×C₈	—	2	1	no	—
1286	C₂×C₈	—	2	1	no	—
1287	C₂×C₈	—	2	1	no	—
1288	C₂×C₈	—	2	1	no	—
1289	C₂×C₈	—	2	1	no	—
1290	C₂×C₈	—	2	1	no	—
1291	C₂×C₈	—	2	1	no	—
1292	C₂×C₈	—	2	1	no	—
1293	C₂×C₈	—	2	1	no	—
1294	C₂×C₈	—	2	1	no	—
1295	C₂×C₈	—	2	1	no	—
1296	C₂×C₈	—	2	1	no	—
1297	C₂×C₈	—	2	1	no	—
1298	C₂×C₈	—	2	1	no	—
1299	C₂×C₈	—	2	1	no	—
1300	C₂×C₈	—	2	1	no	—
1301	C₂×C₈	—	2	1	no	—
1302	C₂×C₈	—	2	1	no	—
1303	C₂×C₈	—	4	2	no	—
1304	C₂×C₈	—	4	2	no	—
1305	C₂×C₈	—	4	2	no	—
1306	C₂×C₈	—	4	2	no	—
1307	C₂×C₈	—	4	2	no	—
1308	C₂×C₈	—	4	2	no	—
1309	C₂×C₈	—	8	1	no	—
1310	C₂×C₈	—	8	1	no	—
1311	C₂×C₈	—	8	1	no	—
1312	C₂×C₈	—	8	1	no	—
1313	C₂×C₈	—	8	1	no	—
1314	C₂×C₈	—	8	1	no	—
1315	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1316	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1317	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1318	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1319	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1320	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1321	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1322	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1323	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1324	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1325	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1326	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1327	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1328	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1329	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1330	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1331	C₄⋊C₄	—	2	1	no	—
1332	C₄⋊C₄	—	2	1	no	—
1333	C₄⋊C₄	—	2	1	no	—
1334	C₄⋊C₄	—	2	1	no	—
1335	C₄⋊C₄	—	2	1	no	—
1336	C₄⋊C₄	—	2	1	no	—
1337	C₄⋊C₄	—	2	1	no	—
1338	C₄⋊C₄	—	2	1	no	—
1339	C₄⋊C₄	—	2	1	no	—
1340	C₄⋊C₄	—	2	1	no	—
1341	C₄⋊C₄	—	2	1	no	—
1342	C₄⋊C₄	—	2	1	no	—
1343	C₄⋊C₄	—	2	1	no	—
1344	C₄⋊C₄	—	2	1	no	—
1345	C₄⋊C₄	—	2	1	no	—
1346	C₄⋊C₄	—	2	1	no	—
1347	C₄⋊C₄	—	2	1	no	—
1348	C₄⋊C₄	—	2	1	no	—
1349	C₄⋊C₄	—	2	1	no	—
1350	C₄⋊C₄	—	2	1	no	—
1351	C₄⋊C₄	—	2	1	no	—
1352	C₄⋊C₄	—	2	1	no	—
1353	C₄⋊C₄	—	2	1	no	—
1354	C₄⋊C₄	—	2	1	no	—
1355	C₄⋊C₄	—	4	2	no	—
1356	C₄⋊C₄	—	4	2	no	—
1357	C₄⋊C₄	—	8	1	no	—
1358	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1359	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1360	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1361	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1362	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1363	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1364	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1365	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1366	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1367	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1368	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1369	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1370	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1371	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1372	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1373	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1374	C₂²⋊C₄	—	2	1	no	—
1375	C₂²⋊C₄	—	2	1	no	—
1376	C₂²⋊C₄	—	2	1	no	—
1377	C₂²⋊C₄	—	2	1	no	—
1378	C₂²⋊C₄	—	2	1	no	—
1379	C₂²⋊C₄	—	2	1	no	—
1380	C₂²⋊C₄	—	2	1	no	—
1381	C₂²⋊C₄	—	2	1	no	—
1382	C₂²⋊C₄	—	2	1	no	—
1383	C₂²⋊C₄	—	2	1	no	—
1384	C₂²⋊C₄	—	2	1	no	—
1385	C₂²⋊C₄	—	2	1	no	—
1386	C₂²⋊C₄	—	2	1	no	—
1387	C₂²⋊C₄	—	2	1	no	—
1388	C₂²⋊C₄	—	2	1	no	—
1389	C₂²⋊C₄	—	2	1	no	—
1390	C₂²⋊C₄	—	2	1	no	—
1391	C₂²⋊C₄	—	2	1	no	—
1392	C₂²⋊C₄	—	2	1	no	—
1393	C₂²⋊C₄	—	2	1	no	—
1394	C₂²⋊C₄	—	2	1	no	—
1395	C₂²⋊C₄	—	2	1	no	—
1396	C₂²⋊C₄	—	2	1	no	—
1397	C₂²⋊C₄	—	2	1	no	—
1398	C₂²⋊C₄	—	2	1	no	—
1399	C₂²⋊C₄	—	2	1	no	—
1400	C₂²⋊C₄	—	2	1	no	—
1401	C₂²⋊C₄	—	2	1	no	—
1402	C₂²⋊C₄	—	2	1	no	—
1403	C₂²⋊C₄	—	2	1	no	—
1404	C₂²⋊C₄	—	2	1	no	—
1405	C₂²⋊C₄	—	2	1	no	—
1406	C₂²⋊C₄	—	2	1	no	—
1407	C₂²⋊C₄	—	2	1	no	—
1408	C₂²⋊C₄	—	2	1	no	—
1409	C₂²⋊C₄	—	2	1	no	—
1410	C₂²⋊C₄	—	2	1	no	—
1411	C₂²⋊C₄	—	2	1	no	—
1412	C₄²	—	2	1	no	—
1413	C₄²	—	2	1	no	—
1414	C₄²	—	2	1	no	—
1415	C₄²	—	2	1	no	—
1416	C₄²	—	2	1	no	—
1417	C₄²	—	2	1	no	—
1418	C₄²	—	2	1	no	—
1419	C₄²	—	2	1	no	—
1420	C₄²	—	2	1	no	—
1421	C₄²	—	2	1	no	—
1422	C₄²	—	2	1	no	—
1423	C₄²	—	2	1	no	—
1424	C₄²	—	2	1	no	—
1425	C₄²	—	2	1	no	—
1426	C₄²	—	2	1	no	—
1427	C₄²	—	2	1	no	—
1428	C₄²	—	2	1	no	—
1429	C₄²	—	2	1	no	—
1430	C₄²	—	2	1	no	—
1431	C₄²	—	2	1	no	—
1432	C₄²	—	2	1	no	—
1433	C₄²	—	2	1	no	—
1434	C₄²	—	4	2	no	—
1435	C₄²	—	8	1	no	—
1436	C₄²	C₂³×C₄	1	1	yes	characteristic
1437	C₄²	C₂³×C₄	1	1	yes	characteristic
1438	C₄²	C₂³×C₄	1	1	yes	characteristic
1439	C₄²	C₂³×C₄	1	1	yes	characteristic
1440	C₄²	C₂³×C₄	1	1	yes	characteristic
1441	C₄²	C₂³×C₄	1	1	yes	characteristic
1442	C₄²	C₂²×D₄	1	1	yes	characteristic
1443	C₄²	C₂²×D₄	1	1	yes	characteristic
1444	C₄²	C₂²×D₄	1	1	yes	characteristic
1445	C₄²	C₂²×D₄	1	1	yes	characteristic
1446	C₄²	C₂²×D₄	1	1	yes	characteristic
1447	C₄²	C₂²×D₄	1	1	yes	characteristic
1448	C₂³	—	2	1	no	—
1449	C₂³	—	2	1	no	—
1450	C₂³	—	2	1	no	—
1451	C₂³	—	2	1	no	—
1452	C₂³	—	2	1	no	—
1453	C₂³	—	2	1	no	—
1454	C₂³	C₂²×#41	1	1	yes	characteristic
1455	Q₈	—	2	1	no	—
1456	Q₈	—	2	1	no	—
1457	Q₈	—	2	1	no	—
1458	Q₈	—	2	1	no	—
1459	Q₈	—	2	1	no	—
1460	Q₈	—	2	1	no	—
1461	Q₈	—	2	1	no	—
1462	Q₈	—	2	1	no	—
1463	Q₈	—	2	1	no	—
1464	Q₈	—	2	1	no	—
1465	Q₈	—	2	1	no	—
1466	Q₈	—	2	1	no	—
1467	Q₈	—	4	1	no	—
1468	Q₈	—	4	1	no	—
1469	Q₈	—	4	1	no	—
1470	Q₈	—	4	1	no	—
1471	D₄	—	2	1	no	—
1472	D₄	—	2	1	no	—
1473	D₄	—	2	1	no	—
1474	D₄	—	2	1	no	—
1475	D₄	—	2	1	no	—
1476	D₄	—	2	1	no	—
1477	D₄	—	2	1	no	—
1478	D₄	—	2	1	no	—
1479	D₄	—	2	1	no	—
1480	D₄	—	2	1	no	—
1481	D₄	—	2	1	no	—
1482	D₄	—	2	1	no	—
1483	D₄	—	4	2	no	—
1484	D₄	—	4	2	no	—
1485	D₄	—	4	1	no	—
1486	D₄	—	4	1	no	—
1487	D₄	—	4	1	no	—
1488	D₄	—	4	1	no	—
1489	D₄	—	4	1	no	—
1490	D₄	—	4	1	no	—
1491	D₄	—	4	1	no	—
1492	D₄	—	4	1	no	—
1493	D₄	—	4	1	no	—
1494	D₄	—	4	1	no	—
1495	D₄	—	4	1	no	—
1496	D₄	—	4	1	no	—
1497	D₄	—	8	1	no	—
1498	D₄	—	8	1	no	—
1499	D₄	—	8	1	no	—
1500	D₄	—	8	1	no	—
1501	D₄	—	8	1	no	—
1502	D₄	—	8	1	no	—
1503	D₄	—	8	1	no	—
1504	D₄	—	8	1	no	—
1505	D₄	—	8	1	no	—
1506	D₄	—	8	1	no	—
1507	C₂×C₄	—	2	2	no	—
1508	C₂×C₄	—	2	1	no	—
1509	C₂×C₄	—	2	1	no	—
1510	C₂×C₄	—	2	1	no	—
1511	C₂×C₄	—	2	1	no	—
1512	C₂×C₄	—	2	1	no	—
1513	C₂×C₄	—	2	1	no	—
1514	C₂×C₄	—	2	1	no	—
1515	C₂×C₄	—	2	1	no	—
1516	C₂×C₄	—	2	1	no	—
1517	C₂×C₄	—	2	1	no	—
1518	C₂×C₄	—	4	1	no	—
1519	C₂×C₄	—	4	1	no	—
1520	C₂×C₄	—	4	1	no	—
1521	C₂×C₄	—	4	1	no	—
1522	C₂×C₄	—	4	1	no	—
1523	C₂×C₄	—	4	1	no	—
1524	C₂×C₄	—	4	2	no	—
1525	C₂×C₄	—	4	2	no	—
1526	C₂×C₄	—	4	1	no	—
1527	C₂×C₄	—	4	1	no	—
1528	C₂×C₄	—	4	1	no	—
1529	C₂×C₄	—	4	1	no	—
1530	C₂×C₄	—	4	1	no	—
1531	C₂×C₄	—	4	1	no	—
1532	C₂×C₄	—	4	1	no	—
1533	C₂×C₄	—	4	1	no	—
1534	C₂×C₄	—	4	1	no	—
1535	C₂×C₄	—	4	1	no	—
1536	C₂×C₄	—	4	1	no	—
1537	C₂×C₄	—	4	1	no	—
1538	C₂×C₄	—	4	1	no	—
1539	C₂×C₄	—	4	1	no	—
1540	C₂×C₄	—	4	1	no	—
1541	C₂×C₄	—	4	1	no	—
1542	C₂×C₄	—	4	1	no	—
1543	C₂×C₄	—	4	1	no	—
1544	C₂×C₄	—	4	1	no	—
1545	C₂×C₄	—	4	1	no	—
1546	C₂×C₄	—	4	1	no	—
1547	C₂×C₄	—	4	1	no	—
1548	C₂×C₄	—	4	1	no	—
1549	C₂×C₄	—	8	1	no	—
1550	C₂×C₄	—	8	1	no	—
1551	C₂×C₄	—	8	1	no	—
1552	C₂×C₄	—	8	1	no	—
1553	C₂×C₄	—	8	1	no	—
1554	C₂×C₄	—	8	1	no	—
1555	C₂×C₄	—	8	1	no	—
1556	C₂×C₄	—	8	1	no	—
1557	C₂×C₄	—	8	1	no	—
1558	C₂×C₄	—	8	1	no	—
1559	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1560	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1561	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1562	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1563	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1564	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1565	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1566	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1567	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1568	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1569	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1570	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1571	C₂×C₄	C₂⁴×C₄	1	1	yes	characteristic
1572	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1573	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1574	C₂×C₄	#585	1	1	yes	characteristic
1575	C₂×C₄	#585	1	1	yes	characteristic
1576	C₂×C₄	#585	1	1	yes	characteristic
1577	C₈	—	2	1	no	—
1578	C₈	—	2	1	no	—
1579	C₈	—	2	1	no	—
1580	C₈	—	2	1	no	—
1581	C₈	—	2	1	no	—
1582	C₈	—	2	1	no	—
1583	C₈	—	2	1	no	—
1584	C₈	—	2	1	no	—
1585	C₈	—	2	1	no	—
1586	C₈	—	2	1	no	—
1587	C₈	—	2	1	no	—
1588	C₈	—	2	1	no	—
1589	C₈	—	2	1	no	—
1590	C₈	—	2	1	no	—
1591	C₈	—	2	1	no	—
1592	C₈	—	2	1	no	—
1593	C₈	—	2	2	no	—
1594	C₈	—	4	1	no	—
1595	C₈	—	4	1	no	—
1596	C₈	—	4	1	no	—
1597	C₈	—	4	1	no	—
1598	C₈	—	4	1	no	—
1599	C₈	—	4	1	no	—
1600	C₈	—	4	1	no	—
1601	C₂²	—	2	1	no	—
1602	C₂²	—	2	1	no	—
1603	C₂²	—	4	1	no	—
1604	C₂²	—	4	1	no	—
1605	C₂²	—	4	1	no	—
1606	C₂²	—	4	1	no	—
1607	C₂²	—	4	1	no	—
1608	C₂²	—	4	1	no	—
1609	C₂²	—	4	1	no	—
1610	C₂²	—	4	1	no	—
1611	C₂²	—	4	1	no	—
1612	C₂²	—	4	1	no	—
1613	C₂²	—	4	1	no	—
1614	C₂²	—	4	1	no	—
1615	C₂²	—	4	1	no	—
1616	C₂²	—	4	1	no	—
1617	C₂²	—	4	1	no	—
1618	C₂²	—	4	1	no	—
1619	C₂²	—	4	1	no	—
1620	C₂²	—	4	1	no	—
1621	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
1622	C₂²	#3517	1	1	yes	characteristic
1623	C₂²	#3524	1	1	yes	characteristic
1624	C₄	—	2	1	no	—
1625	C₄	—	2	1	no	—
1626	C₄	—	2	1	no	—
1627	C₄	—	2	1	no	—
1628	C₄	—	2	1	no	—
1629	C₄	—	2	1	no	—
1630	C₄	—	2	1	no	—
1631	C₄	—	2	1	no	—
1632	C₄	—	2	1	no	—
1633	C₄	—	2	1	no	—
1634	C₄	—	2	1	no	—
1635	C₄	—	2	1	no	—
1636	C₄	—	4	2	no	—
1637	C₄	—	4	1	no	—
1638	C₄	—	4	1	no	—
1639	C₄	—	4	1	no	—
1640	C₄	—	4	1	no	—
1641	C₄	—	4	1	no	—
1642	C₄	—	4	1	no	—
1643	C₄	—	4	1	no	—
1644	C₄	—	4	1	no	—
1645	C₄	—	4	1	no	—
1646	C₄	—	4	1	no	—
1647	C₄	—	8	1	no	—
1648	C₄	—	8	1	no	—
1649	C₄	—	8	1	no	—
1650	C₄	#3428	1	1	yes	characteristic
1651	C₄	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1652	C₄	#3487	1	1	yes	characteristic
1653	C₄	#3488	1	1	yes	characteristic
1654	C₂	—	2	1	no	—
1655	C₂	—	2	1	no	—
1656	C₂	—	8	1	no	—
1657	C₂	—	8	1	no	—
1658	C₂	—	8	1	no	—
1659	C₂	—	8	1	no	—
1660	C₂	—	8	1	no	—
1661	C₂	—	8	1	no	—
1662	C₂	#34295	1	1	yes	characteristic
1663	C₂	#60182	1	1	yes	characteristic
1664	C₂	#60183	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂³×D₄
commutator	C₂×C₄	C₂⁴×C₄
Frattini, cosocle	C₂²×C₄	C₂⁵
socle	C₂²	C₂²×C₄×D₄
prime radical	#61401	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄ ◁ C₂×#446 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #60275	C₂	semidirect
3. #60219	C₂	semidirect
4. #23181	C₂	semidirect
5. #23181	C₂	semidirect
6. #23179	C₂	semidirect
7. #23115	C₂	semidirect
8. #23115	C₂	semidirect
9. #23113	C₂	semidirect
10. #23017	C₂	semidirect
11. #23017	C₂	semidirect
12. #23015	C₂	semidirect
13. #22784	C₂	semidirect
14. #22784	C₂	semidirect
15. #22783	C₂	semidirect
16. #22747	C₂	semidirect
17. #22551	C₂	semidirect
18. #22551	C₂	semidirect
19. #22283	C₂	semidirect
20. #22282	C₂	semidirect
21. #22281	C₂	semidirect
22. #22167	C₂	semidirect
23. #22167	C₂	semidirect
24. #22165	C₂	semidirect
25. #21519	C₂	semidirect
26. #21519	C₂	semidirect
27. #21517	C₂	semidirect
28. #21140	C₂	semidirect
29. #21139	C₂	semidirect
30. #21138	C₂	semidirect
31. #20575	C₂	semidirect
34. #3403	C₄	semidirect
35. #3403	C₄	semidirect
36. #3402	C₄	semidirect
37. #3402	C₄	semidirect
38. #3401	C₄	semidirect
39. #3401	C₄	semidirect
40. #3401	C₄	semidirect
41. #3401	C₄	semidirect
42. #3400	C₄	semidirect
43. #3400	C₄	semidirect
44. #3399	C₄	semidirect
45. #3399	C₄	semidirect
46. #3398	C₄	semidirect
47. #3398	C₄	semidirect
48. #3397	C₄	semidirect
49. #3397	C₄	semidirect

Maximal subgroups

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

subgroup	index
#61401	2
#60275	2
#60219	2
#23181	2
#23179	2
#23115	2
#23113	2
#23017	2
#23015	2
#22784	2
#22783	2
#22747	2
#22551	2
#22283	2
#22282	2
#22281	2
#22167	2
#22165	2
#21519	2
#21517	2
#21140	2
#21139	2
#21138	2
#20575	2