Subgroups — #6384485

Order 512.

1998 conjugacy classes of subgroups.

The subgroup lattice has 1757 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#61124	C₂	1	1	yes	maximal, characteristic
2	#60216	C₂	1	1	yes	maximal, characteristic, complemented
3	#60146	C₂	1	1	yes	maximal, characteristic, complemented
4	#23234	C₂	1	1	yes	maximal, characteristic, complemented
5	#23146	C₂	1	1	yes	maximal, characteristic, complemented
6	#23146	C₂	1	1	yes	maximal, characteristic, complemented
7	#23115	C₂	1	1	yes	maximal, characteristic, complemented
8	#22984	C₂	1	1	yes	maximal, characteristic, complemented
9	#22950	C₂	1	1	yes	maximal, characteristic, complemented
10	#22949	C₂	1	1	yes	maximal, characteristic, complemented
11	#22887	C₂	1	1	yes	maximal, characteristic, complemented
12	#22886	C₂	1	1	yes	maximal, characteristic, complemented
13	#22783	C₂	1	1	yes	maximal, characteristic, complemented
14	#22717	C₂	1	1	yes	maximal, characteristic, complemented
15	#22587	C₂	1	1	yes	maximal, characteristic, complemented
16	#22587	C₂	1	1	yes	maximal, characteristic, complemented
17	#22506	C₂	1	1	yes	maximal, characteristic, complemented
18	#22434	C₂	1	1	yes	maximal, characteristic, complemented
19	#21659	C₂	1	1	yes	maximal, characteristic, complemented
20	#21629	C₂	1	1	yes	maximal, characteristic, complemented
21	#21594	C₂	1	1	yes	maximal, characteristic, complemented
22	#21593	C₂	1	1	yes	maximal, characteristic, complemented
23	#21547	C₂	1	1	yes	maximal, characteristic, complemented
24	#21544	C₂	1	1	yes	maximal, characteristic, complemented
25	#21519	C₂	1	1	yes	maximal, characteristic, complemented
26	#21468	C₂	1	1	yes	maximal, characteristic, complemented
27	#21467	C₂	1	1	yes	maximal, characteristic, complemented
28	#20513	C₂	1	1	yes	maximal, characteristic, complemented
29	#20484	C₂	1	1	yes	maximal, characteristic, complemented
30	#20422	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#1764	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂×#568	C₂²	1	1	yes	characteristic
33	C₂²×#131	C₂²	1	1	yes	characteristic
34	#3475	C₂²	1	1	yes	characteristic
35	D₄×#41	C₂²	1	1	yes	characteristic
36	#3305	C₄	1	1	yes	characteristic, complemented
37	#3304	C₄	1	1	yes	characteristic, complemented
38	#3303	C₄	1	1	yes	characteristic, complemented
39	#3302	C₄	1	1	yes	characteristic, complemented
40	#3301	C₄	1	1	yes	characteristic, complemented
41	#3301	C₄	1	1	yes	characteristic, complemented
42	#3300	C₄	1	1	yes	characteristic, complemented
43	#3300	C₄	1	1	yes	characteristic, complemented
44	#3299	C₄	1	1	yes	characteristic, complemented
45	#3298	C₄	1	1	yes	characteristic, complemented
46	#3297	C₄	1	1	yes	characteristic, complemented
47	#3297	C₄	1	1	yes	characteristic, complemented
48	#3296	C₄	1	1	yes	characteristic, complemented
49	#3296	C₄	1	1	yes	characteristic, complemented
50	#3295	C₄	1	1	yes	characteristic, complemented
51	#3294	C₄	1	1	yes	characteristic, complemented
52	#3131	C₂²	1	1	yes	characteristic
53	#3091	C₂²	1	1	yes	characteristic
54	#3091	C₂²	1	1	yes	characteristic
55	#3076	C₂²	1	1	yes	characteristic
56	#3050	C₂²	1	1	yes	characteristic
57	#3050	C₂²	1	1	yes	characteristic
58	#3035	C₂²	1	1	yes	characteristic
59	#3002	C₂²	1	1	yes	characteristic
60	#3002	C₂²	1	1	yes	characteristic
61	#2970	—	2	1	no	—
62	#2969	—	2	1	no	—
63	#2968	—	2	1	no	—
64	#2968	—	2	1	no	—
65	#2967	—	2	1	no	—
66	#2967	—	2	1	no	—
67	#2966	—	2	1	no	—
68	#2965	—	2	1	no	—
69	#2962	C₂²	1	1	yes	characteristic, complemented
70	#2961	C₂²	1	1	yes	characteristic, complemented
71	C₂×#444	C₂²	1	1	yes	characteristic
72	C₂×#444	C₂²	1	1	yes	characteristic
73	C₂×#444	C₂²	1	1	yes	characteristic, complemented
74	C₂×#443	C₂²	1	1	yes	characteristic, complemented
75	C₄×#135	C₂²	1	1	yes	characteristic
76	#2935	—	2	1	no	—
77	#2935	C₂²	1	1	yes	characteristic
78	D₄×M₁₆	—	2	1	no	—
79	D₄×M₁₆	C₂²	1	1	yes	characteristic
80	D₄×M₁₆	C₂²	1	1	yes	characteristic
81	#2933	—	2	1	no	—
82	#2933	—	2	1	no	—
83	#2933	C₂²	1	1	yes	characteristic
84	#2933	C₂²	1	1	yes	characteristic
85	#2933	C₂²	1	1	yes	characteristic, complemented
86	#2933	C₂²	1	1	yes	characteristic, complemented
87	#2932	—	2	1	no	—
88	#2932	C₂²	1	1	yes	characteristic
89	#2930	—	2	1	no	—
90	#2930	C₂²	1	1	yes	characteristic
91	#2930	C₂²	1	1	yes	characteristic, complemented
92	#2929	—	2	1	no	—
93	#2929	C₂²	1	1	yes	characteristic
94	#2929	C₂²	1	1	yes	characteristic, complemented
95	C₂×#435	—	2	1	no	—
96	C₂×#435	C₂²	1	1	yes	characteristic
97	C₂×C₈×D₄	C₂²	1	1	yes	characteristic
98	#2925	C₂²	1	1	yes	characteristic, complemented
99	#2924	C₂²	1	1	yes	characteristic, complemented
100	#2924	C₂²	1	1	yes	characteristic, complemented
101	#2906	C₂²	1	1	yes	characteristic
102	C₂×#421	C₂²	1	1	yes	characteristic
103	C₂²×#104	C₂²	1	1	yes	characteristic
104	C₂×#416	C₂²	1	1	yes	characteristic
105	C₂×#416	C₂²	1	1	yes	characteristic
106	#2880	C₂²	1	1	yes	characteristic
107	#2880	C₂²	1	1	yes	characteristic
108	#2875	C₂²	1	1	yes	characteristic
109	#2875	C₂²	1	1	yes	characteristic, complemented
110	#2873	C₂²	1	1	yes	characteristic, complemented
111	C₂×#405	C₂²	1	1	yes	characteristic, complemented
112	C₂×#405	C₂²	1	1	yes	characteristic, complemented
113	C₂²×C₄×C₈	C₂²	1	1	yes	characteristic, complemented
114	#2290	C₂²	1	1	yes	characteristic
115	#1995	C₂²	1	1	yes	characteristic, complemented
116	#1986	C₂²	1	1	yes	characteristic, complemented
117	#1980	C₂²	1	1	yes	characteristic
118	#1975	C₂²	1	1	yes	characteristic, complemented
119	#1974	C₂²	1	1	yes	characteristic, complemented
120	#1963	C₂²	1	1	yes	characteristic
121	#1950	C₂²	1	1	yes	characteristic, complemented
122	#1950	C₂²	1	1	yes	characteristic, complemented
123	#1946	C₂²	1	1	yes	characteristic, complemented
124	#1945	C₂²	1	1	yes	characteristic, complemented
125	#1938	C₂²	1	1	yes	characteristic, complemented
126	#1938	C₂²	1	1	yes	characteristic, complemented
127	#1937	C₂²	1	1	yes	characteristic, complemented
128	#1937	C₂²	1	1	yes	characteristic, complemented
129	#1937	C₂²	1	1	yes	characteristic, complemented
130	#1937	C₂²	1	1	yes	characteristic, complemented
131	#1937	C₂²	1	1	yes	characteristic, complemented
132	#1937	C₂²	1	1	yes	characteristic, complemented
133	#1929	C₂²	1	1	yes	characteristic, complemented
134	#1929	C₂²	1	1	yes	characteristic, complemented
135	#1929	C₂²	1	1	yes	characteristic, complemented
136	#1929	C₂²	1	1	yes	characteristic, complemented
137	#1929	C₂²	1	1	yes	characteristic, complemented
138	#1929	C₂²	1	1	yes	characteristic, complemented
139	#1922	C₂²	1	1	yes	characteristic, complemented
140	#1922	C₂²	1	1	yes	characteristic, complemented
141	#1922	C₂²	1	1	yes	characteristic, complemented
142	#1922	C₂²	1	1	yes	characteristic, complemented
143	#1922	C₂²	1	1	yes	characteristic, complemented
144	#1922	C₂²	1	1	yes	characteristic, complemented
145	#1897	C₂²	1	1	yes	characteristic
146	#1897	C₂²	1	1	yes	characteristic, complemented
147	#1896	C₂²	1	1	yes	characteristic
148	#1896	C₂²	1	1	yes	characteristic, complemented
149	#1876	C₂²	1	1	yes	characteristic
150	#1876	C₂²	1	1	yes	characteristic
151	#1876	C₂²	1	1	yes	characteristic, complemented
152	#1876	C₂²	1	1	yes	characteristic, complemented
153	#1876	C₂²	1	1	yes	characteristic, complemented
154	#1876	C₂²	1	1	yes	characteristic, complemented
155	#1871	C₂²	1	1	yes	characteristic
156	#1871	C₂²	1	1	yes	characteristic
157	#1871	C₂²	1	1	yes	characteristic, complemented
158	#1871	C₂²	1	1	yes	characteristic, complemented
159	#1866	C₂²	1	1	yes	characteristic
160	#1866	C₂²	1	1	yes	characteristic
161	#1866	C₂²	1	1	yes	characteristic
162	#1866	C₂²	1	1	yes	characteristic
163	#1866	C₂²	1	1	yes	characteristic, complemented
164	#1866	C₂²	1	1	yes	characteristic, complemented
165	#1855	C₂²	1	1	yes	characteristic, complemented
166	#1855	C₂²	1	1	yes	characteristic, complemented
167	#1855	C₂²	1	1	yes	characteristic, complemented
168	#1855	C₂²	1	1	yes	characteristic, complemented
169	#1837	C₂²	1	1	yes	characteristic, complemented
170	#1826	C₂²	1	1	yes	characteristic, complemented
171	#1826	C₂²	1	1	yes	characteristic, complemented
172	#1810	C₂²	1	1	yes	characteristic, complemented
173	#1810	C₂²	1	1	yes	characteristic, complemented
174	#1806	C₂²	1	1	yes	characteristic
175	#1806	C₂²	1	1	yes	characteristic, complemented
176	#1789	C₂²	1	1	yes	characteristic
177	#1789	C₂²	1	1	yes	characteristic
178	C₄×#108	C₂²	1	1	yes	characteristic, complemented
179	#1773	C₂²	1	1	yes	characteristic, complemented
180	#1773	C₂²	1	1	yes	characteristic, complemented
181	#1773	C₂²	1	1	yes	characteristic, complemented
182	#1772	C₂²	1	1	yes	characteristic, complemented
183	#1771	C₂²	1	1	yes	characteristic, complemented
184	C₈×C₄⋊C₄	C₂²	1	1	yes	characteristic, complemented
185	#1768	C₂²	1	1	yes	characteristic, complemented
186	#1765	C₂²	1	1	yes	characteristic
187	#1765	C₂²	1	1	yes	characteristic
188	#1765	C₂²	1	1	yes	characteristic, complemented
189	#1765	C₂²	1	1	yes	characteristic, complemented
190	#1765	C₂²	1	1	yes	characteristic, complemented
191	#1765	C₂²	1	1	yes	characteristic, complemented
192	#1764	C₂²	1	1	yes	characteristic
193	#1764	C₂²	1	1	yes	characteristic
194	#1764	C₂²	1	1	yes	characteristic
195	#1764	C₂²	1	1	yes	characteristic
196	#1764	C₂²	1	1	yes	characteristic
197	#1764	C₂²	1	1	yes	characteristic
198	#1764	C₂²	1	1	yes	characteristic, complemented
199	#1764	C₂²	1	1	yes	characteristic, complemented
200	#1764	C₂²	1	1	yes	characteristic, complemented
201	#1764	C₂²	1	1	yes	characteristic, complemented
202	#1764	C₂²	1	1	yes	characteristic, complemented
203	#1764	C₂²	1	1	yes	characteristic, complemented
204	#1764	C₂²	1	1	yes	characteristic, complemented
205	#1764	C₂²	1	1	yes	characteristic, complemented
206	#1759	C₂²	1	1	yes	characteristic
207	#1759	C₂²	1	1	yes	characteristic, complemented
208	#1753	C₂²	1	1	yes	characteristic, complemented
209	#1752	C₂²	1	1	yes	characteristic, complemented
210	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
211	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic, complemented
212	#1750	C₂²	1	1	yes	characteristic, complemented
213	#1749	C₂²	1	1	yes	characteristic, complemented
214	C₂×#341	C₂²	1	1	yes	characteristic, complemented
215	C₂×#341	C₂²	1	1	yes	characteristic, complemented
216	#1733	C₂²	1	1	yes	characteristic, complemented
217	C₂×#339	C₂²	1	1	yes	characteristic, complemented
218	#1726	C₂²	1	1	yes	characteristic, complemented
219	C₂²×#41	C₂³	1	1	yes	characteristic
220	C₂²×#41	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	#568	—	2	4	no	—
225	#568	—	4	2	no	—
226	C₂×#131	—	2	1	no	—
227	C₂×#131	—	2	1	no	—
228	C₂×#131	—	2	1	no	—
229	C₂×#131	—	2	1	no	—
230	C₂×#131	—	2	4	no	—
231	C₂×#131	—	4	2	no	—
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	C₂×#131	C₂³	1	1	yes	characteristic
241	C₂×#131	C₂³	1	1	yes	characteristic
242	C₂²×M₁₆	—	2	1	no	—
243	C₂²×M₁₆	—	2	1	no	—
244	C₂²×M₁₆	—	2	1	no	—
245	C₂²×M₁₆	C₂³	1	1	yes	characteristic
246	C₂²×M₁₆	C₂³	1	1	yes	characteristic
247	C₂²×M₁₆	C₂³	1	1	yes	characteristic
248	C₂²×M₁₆	C₂³	1	1	yes	characteristic
249	C₂²×M₁₆	C₂³	1	1	yes	characteristic
250	C₂³×C₈	—	2	1	no	—
251	C₂³×C₈	C₂³	1	1	yes	characteristic
252	C₂³×C₈	C₂³	1	1	yes	characteristic
253	C₂³×C₈	C₂³	1	1	yes	characteristic
254	#556	C₂×C₄	1	1	yes	characteristic
255	#555	C₂×C₄	1	1	yes	characteristic
256	#554	C₂×C₄	1	1	yes	characteristic
257	#553	C₂×C₄	1	1	yes	characteristic
258	#553	C₂×C₄	1	1	yes	characteristic
259	#552	—	2	1	no	—
260	#552	C₂×C₄	1	1	yes	characteristic
261	#552	C₂×C₄	1	1	yes	characteristic
262	#551	—	2	1	no	—
263	#551	—	2	1	no	—
264	#550	C₂×C₄	1	1	yes	characteristic
265	D₄×Q₈	C₂×C₄	1	1	yes	characteristic
266	#548	C₂×C₄	1	1	yes	characteristic
267	#548	C₂×C₄	1	1	yes	characteristic
268	#547	—	2	1	no	—
269	#547	C₂×C₄	1	1	yes	characteristic
270	#547	C₂×C₄	1	1	yes	characteristic
271	#546	—	2	1	no	—
272	#546	—	2	1	no	—
273	#546	—	2	1	no	—
274	#546	C₂×C₄	1	1	yes	characteristic
275	#546	C₂×C₄	1	1	yes	characteristic
276	D₄²	—	2	1	no	—
277	D₄²	C₂×C₄	1	1	yes	characteristic
278	#533	C₂³	1	1	yes	characteristic
279	#532	—	2	1	no	—
280	#532	C₂³	1	1	yes	characteristic
281	#529	—	2	1	no	—
282	#529	—	2	1	no	—
283	#529	—	2	1	no	—
284	#525	—	2	1	no	—
285	#525	—	2	1	no	—
286	#525	C₂³	1	1	yes	characteristic
287	#525	C₂³	1	1	yes	characteristic
288	#525	C₂³	1	1	yes	characteristic
289	#525	C₂³	1	1	yes	characteristic
290	C₄×#41	—	2	1	no	—
291	C₄×#41	C₂³	1	1	yes	characteristic
292	C₄×#41	C₂³	1	1	yes	characteristic
293	C₂×C₄×D₄	—	2	1	no	—
294	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
295	C₂×#117	C₂³	1	1	yes	characteristic
296	C₂×#117	C₂³	1	1	yes	characteristic
297	C₂×#117	C₂³	1	1	yes	characteristic
298	C₂²×C₄²	C₂³	1	1	yes	characteristic
299	#488	C₂×C₄	1	1	yes	characteristic, complemented
300	#488	C₂×C₄	1	1	yes	characteristic, complemented
301	#488	C₂×C₄	1	1	yes	characteristic, complemented
302	#488	C₂×C₄	1	1	yes	characteristic, complemented
303	#487	C₂×C₄	1	1	yes	characteristic, complemented
304	#487	C₂×C₄	1	1	yes	characteristic, complemented
305	#486	C₂×C₄	1	1	yes	characteristic, complemented
306	#486	C₂×C₄	1	1	yes	characteristic, complemented
307	#485	C₂×C₄	1	1	yes	characteristic
308	#485	C₂×C₄	1	1	yes	characteristic
309	#485	C₂×C₄	1	1	yes	characteristic, complemented
310	#485	C₂×C₄	1	1	yes	characteristic, complemented
311	#484	C₂×C₄	1	1	yes	characteristic
312	#484	C₂×C₄	1	1	yes	characteristic, complemented
313	#483	C₂×C₄	1	1	yes	characteristic
314	#483	C₂×C₄	1	1	yes	characteristic, complemented
315	#482	C₂×C₄	1	1	yes	characteristic
316	#482	C₂×C₄	1	1	yes	characteristic
317	#482	C₂×C₄	1	1	yes	characteristic, complemented
318	#482	C₂×C₄	1	1	yes	characteristic, complemented
319	#481	C₂×C₄	1	1	yes	characteristic
320	#481	C₂×C₄	1	1	yes	characteristic, complemented
321	#480	C₂×C₄	1	1	yes	characteristic
322	#480	C₂×C₄	1	1	yes	characteristic, complemented
323	#479	C₂×C₄	1	1	yes	characteristic, complemented
324	#479	C₂×C₄	1	1	yes	characteristic, complemented
325	#478	C₂×C₄	1	1	yes	characteristic, complemented
326	#478	C₂×C₄	1	1	yes	characteristic, complemented
327	#477	C₂×C₄	1	1	yes	characteristic, complemented
328	#476	C₂×C₄	1	1	yes	characteristic, complemented
329	#475	C₂×C₄	1	1	yes	characteristic, complemented
330	#474	C₂×C₄	1	1	yes	characteristic, complemented
331	#467	C₂×C₄	1	1	yes	characteristic
332	#467	C₂×C₄	1	1	yes	characteristic
333	#467	C₂×C₄	1	1	yes	characteristic, complemented
334	#467	C₂×C₄	1	1	yes	characteristic, complemented
335	#466	C₂×C₄	1	1	yes	characteristic
336	#466	C₂×C₄	1	1	yes	characteristic
337	#466	C₂×C₄	1	1	yes	characteristic, complemented
338	#466	C₂×C₄	1	1	yes	characteristic, complemented
339	#465	C₂×C₄	1	1	yes	characteristic
340	#465	C₂×C₄	1	1	yes	characteristic
341	#465	C₂×C₄	1	1	yes	characteristic
342	#465	C₂×C₄	1	1	yes	characteristic
343	#465	C₂×C₄	1	1	yes	characteristic, complemented
344	#465	C₂×C₄	1	1	yes	characteristic, complemented
345	#465	C₂×C₄	1	1	yes	characteristic, complemented
346	#465	C₂×C₄	1	1	yes	characteristic, complemented
347	#464	C₂×C₄	1	1	yes	characteristic, complemented
348	#464	C₂×C₄	1	1	yes	characteristic, complemented
349	#463	C₂×C₄	1	1	yes	characteristic, complemented
350	#463	C₂×C₄	1	1	yes	characteristic, complemented
351	#462	C₂×C₄	1	1	yes	characteristic, complemented
352	#461	C₂×C₄	1	1	yes	characteristic, complemented
353	#460	C₂×C₄	1	1	yes	characteristic, complemented
354	#459	C₂×C₄	1	1	yes	characteristic, complemented
355	#452	C₂×C₄	1	1	yes	characteristic
356	#452	C₂×C₄	1	1	yes	characteristic
357	#452	C₂×C₄	1	1	yes	characteristic, complemented
358	#452	C₂×C₄	1	1	yes	characteristic, complemented
359	#451	C₂×C₄	1	1	yes	characteristic
360	#451	C₂×C₄	1	1	yes	characteristic, complemented
361	#450	C₂×C₄	1	1	yes	characteristic
362	#450	C₂×C₄	1	1	yes	characteristic, complemented
363	#449	C₂×C₄	1	1	yes	characteristic
364	#449	C₂×C₄	1	1	yes	characteristic
365	#449	C₂×C₄	1	1	yes	characteristic, complemented
366	#449	C₂×C₄	1	1	yes	characteristic, complemented
367	#448	C₂×C₄	1	1	yes	characteristic
368	#448	C₂×C₄	1	1	yes	characteristic, complemented
369	#447	C₂×C₄	1	1	yes	characteristic
370	#447	C₂×C₄	1	1	yes	characteristic, complemented
371	#446	—	2	1	no	—
372	#446	—	2	1	no	—
373	#446	—	2	1	no	—
374	#446	—	2	1	no	—
375	#446	—	2	1	no	—
376	#446	—	2	1	no	—
377	#446	—	2	1	no	—
378	C₈×Q₈	—	2	1	no	—
379	#444	—	2	4	no	—
380	#444	—	2	4	no	—
381	#444	—	4	2	no	—
382	#443	—	4	2	no	—
383	C₄×Q₁₆	C₂×C₄	1	1	yes	characteristic, complemented
384	C₄×Q₁₆	C₂×C₄	1	1	yes	characteristic, complemented
385	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic, complemented
386	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic, complemented
387	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic, complemented
388	C₄×SD₁₆	C₂×C₄	1	1	yes	characteristic, complemented
389	C₄×D₈	C₂×C₄	1	1	yes	characteristic, complemented
390	C₄×D₈	C₂×C₄	1	1	yes	characteristic, complemented
391	#436	—	2	1	no	—
392	#436	—	2	1	no	—
393	#436	—	2	1	no	—
394	#436	—	2	1	no	—
395	#436	—	2	1	no	—
396	#436	—	2	1	no	—
397	#436	—	2	1	no	—
398	#436	—	2	1	no	—
399	#436	—	2	1	no	—
400	#436	—	2	1	no	—
401	#436	—	2	1	no	—
402	#435	—	2	1	no	—
403	#435	—	2	1	no	—
404	#435	—	2	1	no	—
405	#435	—	2	1	no	—
406	#435	—	2	1	no	—
407	#435	—	2	1	no	—
408	#435	—	2	1	no	—
409	#435	—	2	1	no	—
410	#435	—	2	1	no	—
411	#435	—	2	1	no	—
412	#435	—	2	1	no	—
413	#435	—	2	1	no	—
414	#435	—	2	1	no	—
415	#435	—	2	1	no	—
416	#435	—	2	1	no	—
417	#435	—	2	1	no	—
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	D₄	1	1	yes	characteristic
429	#435	D₄	1	1	yes	characteristic
430	#435	D₄	1	1	yes	characteristic
431	#435	D₄	1	1	yes	characteristic
432	#435	D₄	1	1	yes	characteristic
433	#435	D₄	1	1	yes	characteristic
434	#435	D₄	1	1	yes	characteristic
435	#435	D₄	1	1	yes	characteristic
436	C₈×D₄	—	2	1	no	—
437	C₈×D₄	—	2	1	no	—
438	C₈×D₄	—	2	1	no	—
439	C₈×D₄	—	2	1	no	—
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	C₂×C₄	1	1	yes	characteristic
448	C₈×D₄	C₂×C₄	1	1	yes	characteristic
449	C₈×D₄	C₂×C₄	1	1	yes	characteristic
450	C₈×D₄	C₂×C₄	1	1	yes	characteristic
451	C₈×D₄	C₂×C₄	1	1	yes	characteristic
452	C₈×D₄	C₂×C₄	1	1	yes	characteristic
453	C₈×D₄	C₂×C₄	1	1	yes	characteristic
454	C₈×D₄	C₂×C₄	1	1	yes	characteristic
455	#433	—	2	1	no	—
456	#433	—	2	1	no	—
457	#433	—	2	1	no	—
458	#433	—	2	1	no	—
459	#433	—	2	1	no	—
460	#433	—	2	1	no	—
461	#432	—	2	1	no	—
462	#432	—	2	1	no	—
463	#432	—	2	1	no	—
464	#431	—	2	1	no	—
465	#431	—	2	1	no	—
466	#431	—	2	1	no	—
467	C₂×#108	C₂³	1	1	yes	characteristic
468	C₂×#108	C₂³	1	1	yes	characteristic
469	C₂×#108	C₂³	1	1	yes	characteristic
470	C₂×#108	C₂³	1	1	yes	characteristic
471	C₂×#108	C₂³	1	1	yes	characteristic
472	C₂×#108	C₂³	1	1	yes	characteristic
473	#427	C₂³	1	1	yes	characteristic
474	#427	C₂³	1	1	yes	characteristic
475	#427	C₂³	1	1	yes	characteristic
476	#424	—	2	1	no	—
477	#424	—	2	1	no	—
478	#424	C₂³	1	1	yes	characteristic
479	#424	C₂³	1	1	yes	characteristic
480	#424	C₂³	1	1	yes	characteristic
481	#424	C₂³	1	1	yes	characteristic
482	#424	C₂³	1	1	yes	characteristic
483	#424	C₂³	1	1	yes	characteristic
484	#423	—	2	1	no	—
485	#423	C₂³	1	1	yes	characteristic
486	#423	C₂³	1	1	yes	characteristic
487	C₂×C₄⋊C₈	—	2	1	no	—
488	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
489	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
490	#421	—	2	4	no	—
491	C₂×#104	—	2	4	no	—
492	C₂×#104	C₂³	1	1	yes	characteristic
493	C₂×#104	C₂³	1	1	yes	characteristic
494	C₂×#104	C₂³	1	1	yes	characteristic
495	C₂×#104	C₂³	1	1	yes	characteristic
496	C₂×#104	C₂³	1	1	yes	characteristic
497	C₂×#104	C₂³	1	1	yes	characteristic
498	C₂×#104	C₂³	1	1	yes	characteristic
499	C₂×#104	C₂³	1	1	yes	characteristic
500	C₂×#104	C₂³	1	1	yes	characteristic
501	C₂×#104	C₂³	1	1	yes	characteristic
502	C₂×#104	C₂³	1	1	yes	characteristic
503	C₂×#104	C₂³	1	1	yes	characteristic
504	C₂×#104	C₂³	1	1	yes	characteristic
505	C₂×#104	C₂³	1	1	yes	characteristic
506	C₂×#104	C₂³	1	1	yes	characteristic
507	C₂×#104	C₂³	1	1	yes	characteristic
508	#416	C₂×C₄	1	1	yes	characteristic
509	#416	C₂×C₄	1	1	yes	characteristic
510	#416	C₂×C₄	1	1	yes	characteristic
511	#416	C₂×C₄	1	1	yes	characteristic
512	#416	C₂×C₄	1	1	yes	characteristic, complemented
513	#416	C₂×C₄	1	1	yes	characteristic, complemented
514	#416	C₂×C₄	1	1	yes	characteristic, complemented
515	#416	C₂×C₄	1	1	yes	characteristic, complemented
516	#416	C₂³	1	1	yes	characteristic
517	#416	C₂³	1	1	yes	characteristic
518	#416	C₂³	1	1	yes	characteristic
519	#416	C₂³	1	1	yes	characteristic
520	#416	C₂³	1	1	yes	characteristic
521	#416	C₂³	1	1	yes	characteristic
522	#416	C₂³	1	1	yes	characteristic
523	#416	C₂³	1	1	yes	characteristic
524	#416	C₂³	1	1	yes	characteristic
525	#416	C₂³	1	1	yes	characteristic
526	C₂×#103	C₂×C₄	1	1	yes	characteristic
527	C₂×#103	C₂×C₄	1	1	yes	characteristic
528	C₂×#103	C₂×C₄	1	1	yes	characteristic, complemented
529	C₂×#103	C₂×C₄	1	1	yes	characteristic, complemented
530	C₂×#102	C₂×C₄	1	1	yes	characteristic
531	C₂×#102	C₂×C₄	1	1	yes	characteristic
532	C₂×#102	C₂×C₄	1	1	yes	characteristic, complemented
533	C₂×#102	C₂×C₄	1	1	yes	characteristic, complemented
534	#408	—	2	1	no	—
535	#408	—	2	1	no	—
536	#408	—	2	1	no	—
537	#408	—	2	1	no	—
538	#408	C₂³	1	1	yes	characteristic
539	#408	C₂³	1	1	yes	characteristic
540	#408	C₂³	1	1	yes	characteristic
541	#408	C₂³	1	1	yes	characteristic
542	#408	C₂³	1	1	yes	characteristic
543	#408	C₂³	1	1	yes	characteristic
544	#407	—	2	1	no	—
545	#407	—	2	1	no	—
546	#407	C₂³	1	1	yes	characteristic
547	#407	C₂³	1	1	yes	characteristic
548	#407	C₂³	1	1	yes	characteristic
549	#407	C₂³	1	1	yes	characteristic
550	C₂×C₂²⋊C₈	—	2	1	no	—
551	C₂×C₂²⋊C₈	—	2	1	no	—
552	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
553	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
554	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
555	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
556	#405	—	2	1	no	—
557	#405	—	2	1	no	—
558	#405	—	2	1	no	—
559	#405	—	2	1	no	—
560	#405	—	2	1	no	—
561	#405	—	2	1	no	—
562	#405	—	2	1	no	—
563	#405	—	2	1	no	—
564	#405	—	4	2	no	—
565	#405	C₂³	1	1	yes	characteristic
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	#405	C₂³	1	1	yes	characteristic
571	#405	C₂³	1	1	yes	characteristic
572	#405	C₂³	1	1	yes	characteristic
573	#405	C₂³	1	1	yes	characteristic
574	#405	C₂³	1	1	yes	characteristic
575	C₄×M₁₆	—	2	1	no	—
576	C₄×M₁₆	—	2	1	no	—
577	C₄×M₁₆	—	2	1	no	—
578	C₄×M₁₆	—	2	1	no	—
579	C₄×M₁₆	C₂³	1	1	yes	characteristic
580	C₄×M₁₆	C₂³	1	1	yes	characteristic
581	C₂×#97	—	2	1	no	—
582	C₂×#97	—	2	1	no	—
583	C₂×#97	—	2	1	no	—
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×#97	C₂³	1	1	yes	characteristic
588	C₂×#97	C₂³	1	1	yes	characteristic
589	C₂×C₄×C₈	—	2	1	no	—
590	C₂×C₄×C₈	—	4	2	no	—
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	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
595	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
596	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
597	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
598	#388	—	2	1	no	—
599	#387	—	2	1	no	—
600	#386	—	2	1	no	—
601	#385	—	2	1	no	—
602	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
603	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
604	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
605	#376	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	#341	C₂³	1	1	yes	characteristic
615	#341	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	#339	C₂³	1	1	yes	characteristic
623	#339	C₂³	1	1	yes	characteristic
624	#339	C₂³	1	1	yes	characteristic
625	#339	C₂³	1	1	yes	characteristic
626	#339	C₂³	1	1	yes	characteristic
627	#339	C₂³	1	1	yes	characteristic
628	#339	C₂³	1	1	yes	characteristic
629	#339	C₂³	1	1	yes	characteristic
630	#339	C₂³	1	1	yes	characteristic
631	#339	C₂³	1	1	yes	characteristic
632	#336	C₂³	1	1	yes	characteristic
633	#336	C₂³	1	1	yes	characteristic
634	#336	C₂³	1	1	yes	characteristic
635	#336	C₂³	1	1	yes	characteristic
636	#336	C₂³	1	1	yes	characteristic
637	#336	C₂³	1	1	yes	characteristic
638	C₂×#41	—	2	1	no	—
639	C₂×#41	—	2	1	no	—
640	C₂×#41	—	2	1	no	—
641	C₂×#41	—	2	1	no	—
642	C₂×#41	—	2	1	no	—
643	C₂×#41	—	2	2	no	—
644	C₂×#41	—	2	2	no	—
645	C₂×#41	—	2	2	no	—
646	C₂×#41	—	2	2	no	—
647	C₂×#41	—	4	1	no	—
648	C₂×#41	—	4	1	no	—
649	C₂×#41	—	4	1	no	—
650	C₂×#41	—	4	1	no	—
651	C₂×#41	C₂²×C₄	1	1	yes	characteristic
652	C₂×#41	C₂²×C₄	1	1	yes	characteristic
653	C₂×#41	C₂²×C₄	1	1	yes	characteristic
654	C₂×#41	C₂²×C₄	1	1	yes	characteristic
655	C₂×#41	C₂⁴	1	1	yes	characteristic
656	C₂×#41	C₂⁴	1	1	yes	characteristic
657	C₂×#41	C₂⁴	1	1	yes	characteristic
658	C₂×#41	C₂⁴	1	1	yes	characteristic
659	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
660	C₂²×Q₈	C₂²×C₄	1	1	yes	characteristic
661	C₂²×D₄	—	2	1	no	—
662	C₂²×D₄	—	2	1	no	—
663	C₂²×D₄	—	2	1	no	—
664	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
665	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
666	C₂²×D₄	#41	1	1	yes	characteristic
667	C₂³×C₄	—	2	1	no	—
668	C₂³×C₄	—	2	1	no	—
669	C₂³×C₄	—	2	1	no	—
670	C₂³×C₄	C₂⁴	1	1	yes	characteristic
671	C₂³×C₄	C₂⁴	1	1	yes	characteristic
672	#135	—	2	2	no	—
673	#135	—	2	2	no	—
674	#135	—	4	1	no	—
675	#135	—	4	1	no	—
676	#135	—	4	1	no	—
677	#135	—	4	1	no	—
678	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
679	C₂×Q₁₆	C₂²×C₄	1	1	yes	characteristic
680	C₂×Q₁₆	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×SD₁₆	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	#131	—	2	2	no	—
691	#131	—	2	2	no	—
692	#131	—	2	2	no	—
693	#131	—	2	2	no	—
694	#131	—	2	2	no	—
695	#131	—	2	2	no	—
696	#131	—	2	2	no	—
697	#131	—	2	2	no	—
698	#131	—	2	2	no	—
699	#131	—	2	2	no	—
700	#131	—	2	2	no	—
701	#131	—	2	2	no	—
702	#131	—	2	2	no	—
703	#131	—	4	4	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	4	no	—
711	#131	—	4	4	no	—
712	#131	—	4	4	no	—
713	#131	#41	1	4	yes	complemented
714	C₂×M₁₆	—	2	1	no	—
715	C₂×M₁₆	—	2	1	no	—
716	C₂×M₁₆	—	2	1	no	—
717	C₂×M₁₆	—	2	1	no	—
718	C₂×M₁₆	—	2	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	2	no	—
729	C₂×M₁₆	—	2	2	no	—
730	C₂×M₁₆	—	2	2	no	—
731	C₂×M₁₆	—	2	2	no	—
732	C₂×M₁₆	—	2	2	no	—
733	C₂×M₁₆	—	2	2	no	—
734	C₂×M₁₆	—	4	4	no	—
735	C₂×M₁₆	—	4	4	no	—
736	C₂×M₁₆	—	4	1	no	—
737	C₂×M₁₆	—	4	1	no	—
738	C₂×M₁₆	—	4	1	no	—
739	C₂×M₁₆	—	4	1	no	—
740	C₂×M₁₆	—	4	4	no	—
741	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
742	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
743	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
744	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
745	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
746	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
747	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
748	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
749	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
750	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
751	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
752	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
753	C₂²×C₈	—	2	1	no	—
754	C₂²×C₈	—	2	2	no	—
755	C₂²×C₈	—	2	2	no	—
756	C₂²×C₈	—	2	1	no	—
757	C₂²×C₈	—	2	1	no	—
758	C₂²×C₈	—	2	1	no	—
759	C₂²×C₈	—	2	1	no	—
760	C₂²×C₈	—	2	1	no	—
761	C₂²×C₈	—	2	1	no	—
762	C₂²×C₈	—	2	1	no	—
763	C₂²×C₈	—	2	1	no	—
764	C₂²×C₈	—	2	1	no	—
765	C₂²×C₈	—	2	1	no	—
766	C₂²×C₈	—	2	1	no	—
767	C₂²×C₈	—	2	1	no	—
768	C₂²×C₈	—	2	1	no	—
769	C₂²×C₈	—	4	1	no	—
770	C₂²×C₈	—	4	1	no	—
771	C₂²×C₈	—	4	1	no	—
772	C₂²×C₈	—	4	1	no	—
773	C₂²×C₈	—	4	4	no	—
774	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
775	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
776	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
777	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
778	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
779	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
780	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
781	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
782	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
783	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
784	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
785	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
786	C₂²×C₈	C₂⁴	1	1	yes	characteristic
787	C₂²×C₈	C₂⁴	1	1	yes	characteristic
788	C₂²×C₈	C₂⁴	1	1	yes	characteristic
789	C₂²×C₈	C₂⁴	1	1	yes	characteristic
790	C₂²×C₈	C₂⁴	1	1	yes	characteristic
791	C₂²×C₈	C₂⁴	1	1	yes	characteristic
792	C₂²×C₈	C₂⁴	1	1	yes	characteristic
793	C₂²×C₈	C₂⁴	1	1	yes	characteristic
794	C₄⋊Q₈	—	2	1	no	—
795	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
796	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
797	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
798	#127	—	2	1	no	—
799	#127	C₂²×C₄	1	1	yes	characteristic
800	#126	—	2	1	no	—
801	#126	—	2	1	no	—
802	#126	—	2	1	no	—
803	#126	—	2	1	no	—
804	#126	—	2	1	no	—
805	#126	—	2	1	no	—
806	#125	—	2	1	no	—
807	#125	—	2	1	no	—
808	#125	—	2	1	no	—
809	#125	C₂²×C₄	1	1	yes	characteristic
810	#125	C₂²×C₄	1	1	yes	characteristic
811	#124	—	2	1	no	—
812	#124	—	2	1	no	—
813	#124	—	2	1	no	—
814	#124	—	2	1	no	—
815	#124	—	2	1	no	—
816	#124	C₂²×C₄	1	1	yes	characteristic
817	#124	C₂²×C₄	1	1	yes	characteristic
818	#123	—	2	1	no	—
819	#123	—	2	1	no	—
820	#123	—	2	1	no	—
821	#123	—	2	1	no	—
822	#123	—	2	1	no	—
823	#123	—	2	1	no	—
824	#123	—	2	1	no	—
825	#123	—	2	1	no	—
826	#123	—	2	1	no	—
827	#123	—	2	1	no	—
828	#123	—	2	1	no	—
829	#123	—	2	1	no	—
830	#123	—	2	1	no	—
831	#123	—	2	1	no	—
832	C₂²⋊Q₈	—	2	1	no	—
833	C₂²⋊Q₈	—	2	1	no	—
834	C₂²⋊Q₈	—	2	1	no	—
835	C₂²⋊Q₈	—	2	1	no	—
836	C₂²⋊Q₈	—	2	1	no	—
837	C₂²⋊Q₈	—	2	1	no	—
838	C₂²⋊Q₈	—	2	1	no	—
839	C₂²⋊Q₈	—	2	1	no	—
840	C₂²⋊Q₈	—	2	1	no	—
841	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
842	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
843	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
844	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
845	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
846	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
847	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
848	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
849	#121	—	2	1	no	—
850	#121	—	2	1	no	—
851	#121	—	2	1	no	—
852	#121	—	2	1	no	—
853	#121	—	2	1	no	—
854	#121	—	2	1	no	—
855	#121	—	2	1	no	—
856	#121	—	2	1	no	—
857	#121	—	2	1	no	—
858	#121	—	2	1	no	—
859	#121	—	2	1	no	—
860	#121	—	2	1	no	—
861	#121	—	2	1	no	—
862	#121	C₂²×C₄	1	1	yes	characteristic
863	#121	C₂²×C₄	1	1	yes	characteristic
864	#121	C₂²×C₄	1	1	yes	characteristic
865	#121	C₂²×C₄	1	1	yes	characteristic
866	#121	C₂²×C₄	1	1	yes	characteristic
867	#121	C₂²×C₄	1	1	yes	characteristic
868	#121	C₂²×C₄	1	1	yes	characteristic
869	#121	C₂²×C₄	1	1	yes	characteristic
870	#120	—	2	1	no	—
871	#120	—	2	1	no	—
872	#120	—	2	1	no	—
873	#120	—	2	1	no	—
874	#120	—	2	1	no	—
875	#120	—	2	1	no	—
876	#120	—	2	1	no	—
877	#120	—	2	1	no	—
878	C₄×Q₈	—	2	1	no	—
879	C₄×Q₈	—	2	1	no	—
880	C₄×Q₈	—	2	1	no	—
881	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
882	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
883	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
884	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
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	—	2	1	no	—
896	C₄×D₄	—	2	1	no	—
897	C₄×D₄	—	2	1	no	—
898	C₄×D₄	—	2	1	no	—
899	C₄×D₄	—	2	1	no	—
900	C₄×D₄	—	2	1	no	—
901	C₄×D₄	—	2	1	no	—
902	C₄×D₄	—	2	1	no	—
903	C₄×D₄	—	2	1	no	—
904	C₄×D₄	—	2	1	no	—
905	C₄×D₄	—	2	1	no	—
906	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
907	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
908	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
909	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
910	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
911	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
912	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
913	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
914	C₄×D₄	C₂×D₄	1	1	yes	characteristic
915	C₄×D₄	C₂×D₄	1	1	yes	characteristic
916	C₄×D₄	C₂×D₄	1	1	yes	characteristic
917	C₄×D₄	C₂×D₄	1	1	yes	characteristic
918	#117	—	2	1	no	—
919	#117	—	2	1	no	—
920	#117	—	2	1	no	—
921	#117	—	2	1	no	—
922	#117	—	2	1	no	—
923	#117	—	2	1	no	—
924	#117	—	2	1	no	—
925	#117	—	2	1	no	—
926	#117	—	2	1	no	—
927	#117	—	2	2	no	—
928	#117	—	4	1	no	—
929	#117	C₂²×C₄	1	1	yes	characteristic
930	#117	C₂²×C₄	1	1	yes	characteristic
931	#117	C₂²×C₄	1	1	yes	characteristic
932	#117	C₂²×C₄	1	1	yes	characteristic
933	#117	C₂⁴	1	1	yes	characteristic
934	#117	C₂⁴	1	1	yes	characteristic
935	#117	C₂⁴	1	1	yes	characteristic
936	#117	C₂⁴	1	1	yes	characteristic
937	C₂×C₄⋊C₄	—	2	1	no	—
938	C₂×C₄⋊C₄	—	2	1	no	—
939	C₂×C₄⋊C₄	—	2	1	no	—
940	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
941	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
942	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
943	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
944	C₂×C₄⋊C₄	#41	1	1	yes	characteristic
945	C₂×C₂²⋊C₄	—	2	1	no	—
946	C₂×C₂²⋊C₄	—	2	1	no	—
947	C₂×C₂²⋊C₄	—	2	1	no	—
948	C₂×C₂²⋊C₄	—	2	1	no	—
949	C₂×C₂²⋊C₄	—	2	1	no	—
950	C₂×C₂²⋊C₄	—	2	1	no	—
951	C₂×C₂²⋊C₄	—	2	1	no	—
952	C₂×C₂²⋊C₄	#41	1	1	yes	characteristic
953	C₂×C₂²⋊C₄	#41	1	1	yes	characteristic
954	C₂×C₄²	—	2	1	no	—
955	C₂×C₄²	—	2	1	no	—
956	C₂×C₄²	—	2	1	no	—
957	C₂×C₄²	—	2	1	no	—
958	C₂×C₄²	—	2	2	no	—
959	C₂×C₄²	—	2	1	no	—
960	C₂×C₄²	—	4	1	no	—
961	C₂×C₄²	C₂⁴	1	1	yes	characteristic
962	C₂×C₄²	C₂⁴	1	1	yes	characteristic
963	C₂×C₄²	C₂⁴	1	1	yes	characteristic
964	C₂×C₄²	C₂⁴	1	1	yes	characteristic
965	C₂×C₄²	C₂⁴	1	1	yes	characteristic
966	#108	—	2	2	no	—
967	#108	—	2	2	no	—
968	#108	—	4	1	no	—
969	#108	—	4	1	no	—
970	#108	—	4	1	no	—
971	#108	—	4	1	no	—
972	#107	C₂²×C₄	1	1	yes	characteristic
973	#107	C₂²×C₄	1	1	yes	characteristic
974	#107	C₂²×C₄	1	1	yes	characteristic
975	#107	C₂²×C₄	1	1	yes	characteristic
976	#107	C₂²×C₄	1	1	yes	characteristic
977	#107	C₂²×C₄	1	1	yes	characteristic
978	#106	C₂²×C₄	1	1	yes	characteristic
979	#106	C₂²×C₄	1	1	yes	characteristic
980	#106	C₂²×C₄	1	1	yes	characteristic
981	#106	C₂²×C₄	1	1	yes	characteristic
982	#106	C₂²×C₄	1	1	yes	characteristic
983	#106	C₂²×C₄	1	1	yes	characteristic
984	C₄⋊C₈	—	2	1	no	—
985	C₄⋊C₈	—	2	1	no	—
986	C₄⋊C₈	—	2	1	no	—
987	C₄⋊C₈	—	2	1	no	—
988	C₄⋊C₈	—	2	1	no	—
989	C₄⋊C₈	—	2	1	no	—
990	C₄⋊C₈	—	2	1	no	—
991	C₄⋊C₈	—	2	1	no	—
992	C₄⋊C₈	—	2	1	no	—
993	C₄⋊C₈	—	2	1	no	—
994	C₄⋊C₈	—	2	1	no	—
995	C₄⋊C₈	—	2	1	no	—
996	C₄⋊C₈	—	2	1	no	—
997	C₄⋊C₈	—	2	1	no	—
998	C₄⋊C₈	—	2	1	no	—
999	C₄⋊C₈	—	2	1	no	—
1000	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
1001	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
1002	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
1003	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
1004	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
1005	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
1006	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
1007	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
1008	#104	—	2	2	no	—
1009	#104	—	2	2	no	—
1010	#104	—	2	2	no	—
1011	#104	—	2	2	no	—
1012	#104	—	2	2	no	—
1013	#104	—	2	2	no	—
1014	#104	—	2	2	no	—
1015	#104	—	2	2	no	—
1016	#104	—	2	2	no	—
1017	#104	—	4	1	no	—
1018	#104	—	4	1	no	—
1019	#104	—	4	1	no	—
1020	#104	—	4	1	no	—
1021	#104	—	4	1	no	—
1022	#104	—	4	1	no	—
1023	#104	#41	1	4	yes	complemented
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	#103	C₂²×C₄	1	1	yes	characteristic
1033	#103	C₂²×C₄	1	1	yes	characteristic
1034	#103	C₂²×C₄	1	1	yes	characteristic
1035	#103	C₂²×C₄	1	1	yes	characteristic
1036	#103	C₂²×C₄	1	1	yes	characteristic
1037	#103	C₂²×C₄	1	1	yes	characteristic
1038	#103	C₂²×C₄	1	1	yes	characteristic
1039	#103	C₂²×C₄	1	1	yes	characteristic
1040	#103	C₂²×C₄	1	1	yes	characteristic
1041	#103	C₂²×C₄	1	1	yes	characteristic
1042	#103	C₂²×C₄	1	1	yes	characteristic
1043	#103	C₂²×C₄	1	1	yes	characteristic
1044	#102	C₂²×C₄	1	1	yes	characteristic
1045	#102	C₂²×C₄	1	1	yes	characteristic
1046	#102	C₂²×C₄	1	1	yes	characteristic
1047	#102	C₂²×C₄	1	1	yes	characteristic
1048	#102	C₂²×C₄	1	1	yes	characteristic
1049	#102	C₂²×C₄	1	1	yes	characteristic
1050	#102	C₂²×C₄	1	1	yes	characteristic
1051	#102	C₂²×C₄	1	1	yes	characteristic
1052	#102	C₂²×C₄	1	1	yes	characteristic
1053	#102	C₂²×C₄	1	1	yes	characteristic
1054	#102	C₂²×C₄	1	1	yes	characteristic
1055	#102	C₂²×C₄	1	1	yes	characteristic
1056	#102	C₂²×C₄	1	1	yes	characteristic
1057	#102	C₂²×C₄	1	1	yes	characteristic
1058	#102	C₂²×C₄	1	1	yes	characteristic
1059	#102	C₂²×C₄	1	1	yes	characteristic
1060	#102	C₂²×C₄	1	1	yes	characteristic
1061	#102	C₂²×C₄	1	1	yes	characteristic
1062	#102	C₂²×C₄	1	1	yes	characteristic
1063	#102	C₂²×C₄	1	1	yes	characteristic
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	C₂²⋊C₈	—	2	1	no	—
1069	C₂²⋊C₈	—	2	1	no	—
1070	C₂²⋊C₈	—	2	1	no	—
1071	C₂²⋊C₈	—	2	1	no	—
1072	C₂²⋊C₈	—	2	1	no	—
1073	C₂²⋊C₈	—	2	1	no	—
1074	C₂²⋊C₈	—	2	1	no	—
1075	C₂²⋊C₈	—	2	1	no	—
1076	C₂²⋊C₈	—	2	1	no	—
1077	C₂²⋊C₈	—	2	1	no	—
1078	C₂²⋊C₈	—	2	1	no	—
1079	C₂²⋊C₈	—	2	1	no	—
1080	C₂²⋊C₈	—	2	1	no	—
1081	C₂²⋊C₈	—	2	1	no	—
1082	C₂²⋊C₈	—	2	1	no	—
1083	C₂²⋊C₈	—	2	1	no	—
1084	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1085	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1086	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1087	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1088	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1089	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1090	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1091	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1092	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1093	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1094	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1095	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1096	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1097	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1098	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1099	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1100	#97	—	2	1	no	—
1101	#97	—	2	1	no	—
1102	#97	—	2	1	no	—
1103	#97	—	2	1	no	—
1104	#97	—	2	1	no	—
1105	#97	—	2	1	no	—
1106	#97	—	2	1	no	—
1107	#97	—	2	1	no	—
1108	#97	—	2	1	no	—
1109	#97	—	2	1	no	—
1110	#97	—	2	2	no	—
1111	#97	—	2	2	no	—
1112	#97	—	2	1	no	—
1113	#97	—	2	1	no	—
1114	#97	—	2	2	no	—
1115	#97	—	4	1	no	—
1116	#97	C₂×D₄	1	1	yes	characteristic
1117	#97	C₂×D₄	1	1	yes	characteristic
1118	#97	C₂×D₄	1	1	yes	characteristic
1119	#97	C₂×D₄	1	1	yes	characteristic
1120	C₄×C₈	—	2	1	no	—
1121	C₄×C₈	—	2	1	no	—
1122	C₄×C₈	—	2	1	no	—
1123	C₄×C₈	—	2	1	no	—
1124	C₄×C₈	—	2	1	no	—
1125	C₄×C₈	—	2	1	no	—
1126	C₄×C₈	—	2	1	no	—
1127	C₄×C₈	—	2	1	no	—
1128	C₄×C₈	—	2	1	no	—
1129	C₄×C₈	—	2	1	no	—
1130	C₄×C₈	—	2	2	no	—
1131	C₄×C₈	—	2	2	no	—
1132	C₄×C₈	—	2	1	no	—
1133	C₄×C₈	—	2	1	no	—
1134	C₄×C₈	—	4	1	no	—
1135	C₄×C₈	—	4	1	no	—
1136	C₄×C₈	—	4	1	no	—
1137	C₄×C₈	—	4	1	no	—
1138	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
1139	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
1140	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
1141	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
1142	#95	—	2	1	no	—
1143	#95	—	2	1	no	—
1144	#95	—	2	1	no	—
1145	#95	—	2	1	no	—
1146	#95	—	2	1	no	—
1147	C₂⁴	—	2	1	no	—
1148	C₂⁴	—	2	1	no	—
1149	C₂⁴	C₂×#41	1	1	yes	characteristic
1150	C₂⁴	C₂×#41	1	1	yes	characteristic
1151	#41	—	2	1	no	—
1152	#41	—	2	1	no	—
1153	#41	—	2	2	no	—
1154	#41	—	2	2	no	—
1155	#41	—	2	2	no	—
1156	#41	—	2	2	no	—
1157	#41	—	2	1	no	—
1158	#41	—	2	1	no	—
1159	#41	—	2	1	no	—
1160	#41	—	2	1	no	—
1161	#41	—	2	1	no	—
1162	#41	—	2	1	no	—
1163	#41	—	2	1	no	—
1164	#41	—	2	1	no	—
1165	#41	—	2	1	no	—
1166	#41	—	2	1	no	—
1167	#41	—	2	1	no	—
1168	#41	—	2	1	no	—
1169	#41	—	4	2	no	—
1170	#41	—	4	2	no	—
1171	#41	—	4	2	no	—
1172	#41	—	4	2	no	—
1173	#41	—	4	1	no	—
1174	#41	—	4	1	no	—
1175	#41	—	4	1	no	—
1176	#41	—	4	1	no	—
1177	#41	—	4	2	no	—
1178	#41	—	4	2	no	—
1179	#41	—	4	2	no	—
1180	#41	—	4	2	no	—
1181	#41	—	8	2	no	—
1182	#41	C₂×#41	1	2	yes	—
1183	#41	C₂×#41	1	2	yes	—
1184	C₂×Q₈	—	2	1	no	—
1185	C₂×Q₈	—	2	1	no	—
1186	C₂×Q₈	—	2	1	no	—
1187	C₂×Q₈	—	2	1	no	—
1188	C₂×Q₈	—	2	2	no	—
1189	C₂×Q₈	—	2	2	no	—
1190	C₂×Q₈	—	4	1	no	—
1191	C₂×Q₈	—	4	1	no	—
1192	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1193	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1194	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1195	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1196	C₂×D₄	—	2	1	no	—
1197	C₂×D₄	—	2	2	no	—
1198	C₂×D₄	—	2	2	no	—
1199	C₂×D₄	—	2	1	no	—
1200	C₂×D₄	—	2	1	no	—
1201	C₂×D₄	—	2	1	no	—
1202	C₂×D₄	—	2	1	no	—
1203	C₂×D₄	—	2	1	no	—
1204	C₂×D₄	—	2	1	no	—
1205	C₂×D₄	—	2	1	no	—
1206	C₂×D₄	—	2	1	no	—
1207	C₂×D₄	—	2	1	no	—
1208	C₂×D₄	—	2	1	no	—
1209	C₂×D₄	—	2	1	no	—
1210	C₂×D₄	—	2	1	no	—
1211	C₂×D₄	—	2	1	no	—
1212	C₂×D₄	—	2	1	no	—
1213	C₂×D₄	—	2	1	no	—
1214	C₂×D₄	—	2	1	no	—
1215	C₂×D₄	—	2	1	no	—
1216	C₂×D₄	—	2	1	no	—
1217	C₂×D₄	—	2	1	no	—
1218	C₂×D₄	—	4	1	no	—
1219	C₂×D₄	—	4	1	no	—
1220	C₂×D₄	—	4	2	no	—
1221	C₂×D₄	—	4	2	no	—
1222	C₂×D₄	—	4	2	no	—
1223	C₂×D₄	—	4	2	no	—
1224	C₂×D₄	—	4	2	no	—
1225	C₂×D₄	—	8	2	no	—
1226	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1227	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1228	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1229	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1230	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1231	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1232	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1233	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1234	C₂²×C₄	—	2	1	no	—
1235	C₂²×C₄	—	2	1	no	—
1236	C₂²×C₄	—	2	1	no	—
1237	C₂²×C₄	—	2	1	no	—
1238	C₂²×C₄	—	2	1	no	—
1239	C₂²×C₄	—	2	1	no	—
1240	C₂²×C₄	—	2	1	no	—
1241	C₂²×C₄	—	2	1	no	—
1242	C₂²×C₄	—	2	1	no	—
1243	C₂²×C₄	—	2	1	no	—
1244	C₂²×C₄	—	2	1	no	—
1245	C₂²×C₄	—	2	1	no	—
1246	C₂²×C₄	—	2	1	no	—
1247	C₂²×C₄	—	2	1	no	—
1248	C₂²×C₄	—	2	1	no	—
1249	C₂²×C₄	—	2	1	no	—
1250	C₂²×C₄	—	2	1	no	—
1251	C₂²×C₄	—	2	1	no	—
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	—	4	2	no	—
1265	C₂²×C₄	—	4	2	no	—
1266	C₂²×C₄	—	4	2	no	—
1267	C₂²×C₄	—	4	2	no	—
1268	C₂²×C₄	—	4	2	no	—
1269	C₂²×C₄	—	4	2	no	—
1270	C₂²×C₄	—	4	2	no	—
1271	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1272	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1273	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1274	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1275	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1276	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1277	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1278	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1279	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1280	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1281	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1282	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1283	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1284	Q₁₆	—	2	2	no	—
1285	Q₁₆	—	4	1	no	—
1286	Q₁₆	—	4	1	no	—
1287	SD₁₆	—	2	2	no	—
1288	SD₁₆	—	2	2	no	—
1289	SD₁₆	—	4	1	no	—
1290	SD₁₆	—	4	1	no	—
1291	SD₁₆	—	4	1	no	—
1292	SD₁₆	—	4	1	no	—
1293	D₈	—	2	2	no	—
1294	D₈	—	4	1	no	—
1295	D₈	—	4	1	no	—
1296	M₁₆	—	2	1	no	—
1297	M₁₆	—	2	1	no	—
1298	M₁₆	—	2	2	no	—
1299	M₁₆	—	2	2	no	—
1300	M₁₆	—	2	2	no	—
1301	M₁₆	—	2	2	no	—
1302	M₁₆	—	2	4	no	—
1303	M₁₆	—	2	1	no	—
1304	M₁₆	—	2	1	no	—
1305	M₁₆	—	2	1	no	—
1306	M₁₆	—	2	1	no	—
1307	M₁₆	—	2	1	no	—
1308	M₁₆	—	2	1	no	—
1309	M₁₆	—	2	1	no	—
1310	M₁₆	—	2	1	no	—
1311	M₁₆	—	2	1	no	—
1312	M₁₆	—	2	1	no	—
1313	M₁₆	—	2	1	no	—
1314	M₁₆	—	2	1	no	—
1315	M₁₆	—	4	2	no	—
1316	M₁₆	—	4	2	no	—
1317	M₁₆	—	4	2	no	—
1318	M₁₆	—	4	2	no	—
1319	M₁₆	—	4	2	no	—
1320	M₁₆	—	4	2	no	—
1321	M₁₆	—	4	2	no	—
1322	M₁₆	—	4	2	no	—
1323	M₁₆	—	4	2	no	—
1324	M₁₆	—	4	2	no	—
1325	M₁₆	—	4	2	no	—
1326	M₁₆	—	4	2	no	—
1327	M₁₆	—	4	2	no	—
1328	M₁₆	C₂×#41	1	2	yes	—
1329	M₁₆	C₂×#41	1	2	yes	—
1330	C₂×C₈	—	2	1	no	—
1331	C₂×C₈	—	2	1	no	—
1332	C₂×C₈	—	2	1	no	—
1333	C₂×C₈	—	2	1	no	—
1334	C₂×C₈	—	2	1	no	—
1335	C₂×C₈	—	2	1	no	—
1336	C₂×C₈	—	2	1	no	—
1337	C₂×C₈	—	2	1	no	—
1338	C₂×C₈	—	2	1	no	—
1339	C₂×C₈	—	2	1	no	—
1340	C₂×C₈	—	2	1	no	—
1341	C₂×C₈	—	2	1	no	—
1342	C₂×C₈	—	2	1	no	—
1343	C₂×C₈	—	2	1	no	—
1344	C₂×C₈	—	2	1	no	—
1345	C₂×C₈	—	2	1	no	—
1346	C₂×C₈	—	2	2	no	—
1347	C₂×C₈	—	2	2	no	—
1348	C₂×C₈	—	2	2	no	—
1349	C₂×C₈	—	2	2	no	—
1350	C₂×C₈	—	2	4	no	—
1351	C₂×C₈	—	2	1	no	—
1352	C₂×C₈	—	2	1	no	—
1353	C₂×C₈	—	2	1	no	—
1354	C₂×C₈	—	2	1	no	—
1355	C₂×C₈	—	2	1	no	—
1356	C₂×C₈	—	2	1	no	—
1357	C₂×C₈	—	4	1	no	—
1358	C₂×C₈	—	4	1	no	—
1359	C₂×C₈	—	4	1	no	—
1360	C₂×C₈	—	4	1	no	—
1361	C₂×C₈	—	4	1	no	—
1362	C₂×C₈	—	4	1	no	—
1363	C₂×C₈	—	4	1	no	—
1364	C₂×C₈	—	4	1	no	—
1365	C₂×C₈	—	4	2	no	—
1366	C₂×C₈	—	4	2	no	—
1367	C₂×C₈	—	4	2	no	—
1368	C₂×C₈	—	4	2	no	—
1369	C₂×C₈	—	4	2	no	—
1370	C₂×C₈	—	4	2	no	—
1371	C₂×C₈	—	4	2	no	—
1372	C₂×C₈	—	4	2	no	—
1373	C₂×C₈	—	4	2	no	—
1374	C₂×C₈	—	4	2	no	—
1375	C₂×C₈	—	4	2	no	—
1376	C₂×C₈	—	4	2	no	—
1377	C₂×C₈	—	4	2	no	—
1378	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1379	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1380	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1381	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1382	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1383	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1384	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1385	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1386	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1387	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1388	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1389	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1390	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1391	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1392	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1393	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1394	C₂×C₈	C₂×#41	1	2	yes	—
1395	C₂×C₈	H(5,𝔽₂)	1	2	yes	—
1396	C₄⋊C₄	—	2	1	no	—
1397	C₄⋊C₄	—	2	1	no	—
1398	C₄⋊C₄	—	2	1	no	—
1399	C₄⋊C₄	—	2	1	no	—
1400	C₄⋊C₄	—	2	1	no	—
1401	C₄⋊C₄	—	2	1	no	—
1402	C₄⋊C₄	—	2	1	no	—
1403	C₄⋊C₄	—	2	1	no	—
1404	C₄⋊C₄	—	2	1	no	—
1405	C₄⋊C₄	—	2	1	no	—
1406	C₄⋊C₄	—	2	1	no	—
1407	C₄⋊C₄	—	2	1	no	—
1408	C₄⋊C₄	—	2	1	no	—
1409	C₄⋊C₄	—	2	1	no	—
1410	C₄⋊C₄	—	2	1	no	—
1411	C₄⋊C₄	—	2	1	no	—
1412	C₄⋊C₄	—	2	1	no	—
1413	C₄⋊C₄	—	2	1	no	—
1414	C₄⋊C₄	—	2	1	no	—
1415	C₄⋊C₄	—	2	1	no	—
1416	C₄⋊C₄	—	2	1	no	—
1417	C₄⋊C₄	—	2	1	no	—
1418	C₄⋊C₄	—	2	1	no	—
1419	C₄⋊C₄	—	2	1	no	—
1420	C₄⋊C₄	—	4	2	no	—
1421	C₄⋊C₄	—	4	2	no	—
1422	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1423	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1424	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1425	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1426	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1427	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1428	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1429	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1430	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1431	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1432	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1433	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1434	C₂²⋊C₄	—	2	1	no	—
1435	C₂²⋊C₄	—	2	1	no	—
1436	C₂²⋊C₄	—	2	1	no	—
1437	C₂²⋊C₄	—	2	1	no	—
1438	C₂²⋊C₄	—	2	1	no	—
1439	C₂²⋊C₄	—	2	1	no	—
1440	C₂²⋊C₄	—	2	1	no	—
1441	C₂²⋊C₄	—	2	1	no	—
1442	C₂²⋊C₄	—	2	1	no	—
1443	C₂²⋊C₄	—	2	1	no	—
1444	C₂²⋊C₄	—	2	1	no	—
1445	C₂²⋊C₄	—	2	1	no	—
1446	C₂²⋊C₄	—	2	1	no	—
1447	C₂²⋊C₄	—	2	1	no	—
1448	C₂²⋊C₄	—	2	1	no	—
1449	C₂²⋊C₄	—	2	1	no	—
1450	C₂²⋊C₄	—	2	1	no	—
1451	C₂²⋊C₄	—	2	1	no	—
1452	C₂²⋊C₄	—	2	1	no	—
1453	C₂²⋊C₄	—	2	1	no	—
1454	C₂²⋊C₄	—	2	1	no	—
1455	C₂²⋊C₄	—	2	1	no	—
1456	C₂²⋊C₄	—	2	1	no	—
1457	C₂²⋊C₄	—	2	1	no	—
1458	C₂²⋊C₄	—	2	1	no	—
1459	C₂²⋊C₄	—	2	1	no	—
1460	C₂²⋊C₄	—	2	1	no	—
1461	C₂²⋊C₄	—	2	1	no	—
1462	C₂²⋊C₄	—	2	1	no	—
1463	C₂²⋊C₄	—	2	1	no	—
1464	C₂²⋊C₄	—	2	1	no	—
1465	C₂²⋊C₄	—	2	1	no	—
1466	C₂²⋊C₄	—	4	2	no	—
1467	C₂²⋊C₄	—	4	2	no	—
1468	C₂²⋊C₄	—	4	2	no	—
1469	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1470	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1471	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1472	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1473	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1474	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1475	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1476	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1477	C₄²	—	2	1	no	—
1478	C₄²	—	2	1	no	—
1479	C₄²	—	2	1	no	—
1480	C₄²	—	2	1	no	—
1481	C₄²	—	2	1	no	—
1482	C₄²	—	2	1	no	—
1483	C₄²	—	2	1	no	—
1484	C₄²	—	2	1	no	—
1485	C₄²	—	2	1	no	—
1486	C₄²	—	2	1	no	—
1487	C₄²	—	2	1	no	—
1488	C₄²	—	2	1	no	—
1489	C₄²	—	2	1	no	—
1490	C₄²	—	2	1	no	—
1491	C₄²	—	2	1	no	—
1492	C₄²	—	2	1	no	—
1493	C₄²	—	2	1	no	—
1494	C₄²	—	2	1	no	—
1495	C₄²	—	2	1	no	—
1496	C₄²	—	4	2	no	—
1497	C₄²	C₂³×C₄	1	1	yes	characteristic
1498	C₄²	C₂³×C₄	1	1	yes	characteristic
1499	C₄²	C₂²×D₄	1	1	yes	characteristic
1500	C₄²	C₂²×D₄	1	1	yes	characteristic
1501	C₄²	C₂×#41	1	2	yes	—
1502	C₂³	—	2	1	no	—
1503	C₂³	—	2	2	no	—
1504	C₂³	—	2	1	no	—
1505	C₂³	—	2	1	no	—
1506	C₂³	—	2	1	no	—
1507	C₂³	—	2	1	no	—
1508	C₂³	—	2	1	no	—
1509	C₂³	—	2	1	no	—
1510	C₂³	—	2	1	no	—
1511	C₂³	—	4	1	no	—
1512	C₂³	—	4	1	no	—
1513	C₂³	—	4	1	no	—
1514	C₂³	—	4	2	no	—
1515	C₂³	—	4	2	no	—
1516	C₂³	—	4	2	no	—
1517	C₂³	—	8	1	no	—
1518	C₂³	—	8	1	no	—
1519	C₂³	—	8	1	no	—
1520	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1521	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1522	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1523	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1524	C₂³	C₂²×#41	1	1	yes	characteristic
1525	Q₈	—	2	1	no	—
1526	Q₈	—	2	1	no	—
1527	Q₈	—	2	1	no	—
1528	Q₈	—	2	1	no	—
1529	Q₈	—	2	1	no	—
1530	Q₈	—	2	1	no	—
1531	Q₈	—	2	1	no	—
1532	Q₈	—	4	2	no	—
1533	Q₈	—	4	2	no	—
1534	Q₈	—	8	1	no	—
1535	Q₈	—	8	1	no	—
1536	Q₈	C₄×#41	1	2	yes	—
1537	D₄	—	2	2	no	—
1538	D₄	—	2	2	no	—
1539	D₄	—	2	2	no	—
1540	D₄	—	2	2	no	—
1541	D₄	—	2	1	no	—
1542	D₄	—	2	1	no	—
1543	D₄	—	2	1	no	—
1544	D₄	—	2	1	no	—
1545	D₄	—	2	1	no	—
1546	D₄	—	2	1	no	—
1547	D₄	—	2	1	no	—
1548	D₄	—	4	1	no	—
1549	D₄	—	4	1	no	—
1550	D₄	—	4	2	no	—
1551	D₄	—	4	2	no	—
1552	D₄	—	4	2	no	—
1553	D₄	—	4	2	no	—
1554	D₄	—	4	2	no	—
1555	D₄	—	4	2	no	—
1556	D₄	—	4	2	no	—
1557	D₄	—	4	2	no	—
1558	D₄	—	4	1	no	—
1559	D₄	—	4	1	no	—
1560	D₄	—	4	1	no	—
1561	D₄	—	4	1	no	—
1562	D₄	—	4	1	no	—
1563	D₄	—	4	1	no	—
1564	D₄	—	8	1	no	—
1565	D₄	—	8	1	no	—
1566	D₄	—	8	1	no	—
1567	D₄	—	8	1	no	—
1568	D₄	—	8	1	no	—
1569	D₄	—	8	1	no	—
1570	D₄	—	8	1	no	—
1571	D₄	—	8	1	no	—
1572	D₄	C₄×#41	1	2	yes	—
1573	C₂×C₄	—	2	1	no	—
1574	C₂×C₄	—	2	1	no	—
1575	C₂×C₄	—	2	1	no	—
1576	C₂×C₄	—	2	1	no	—
1577	C₂×C₄	—	2	1	no	—
1578	C₂×C₄	—	2	1	no	—
1579	C₂×C₄	—	2	1	no	—
1580	C₂×C₄	—	2	1	no	—
1581	C₂×C₄	—	2	1	no	—
1582	C₂×C₄	—	2	1	no	—
1583	C₂×C₄	—	2	1	no	—
1584	C₂×C₄	—	2	1	no	—
1585	C₂×C₄	—	2	1	no	—
1586	C₂×C₄	—	2	1	no	—
1587	C₂×C₄	—	2	1	no	—
1588	C₂×C₄	—	2	2	no	—
1589	C₂×C₄	—	2	1	no	—
1590	C₂×C₄	—	2	1	no	—
1591	C₂×C₄	—	2	1	no	—
1592	C₂×C₄	—	2	1	no	—
1593	C₂×C₄	—	2	2	no	—
1594	C₂×C₄	—	2	1	no	—
1595	C₂×C₄	—	2	1	no	—
1596	C₂×C₄	—	2	2	no	—
1597	C₂×C₄	—	2	1	no	—
1598	C₂×C₄	—	2	1	no	—
1599	C₂×C₄	—	2	1	no	—
1600	C₂×C₄	—	2	1	no	—
1601	C₂×C₄	—	2	1	no	—
1602	C₂×C₄	—	2	1	no	—
1603	C₂×C₄	—	2	1	no	—
1604	C₂×C₄	—	2	1	no	—
1605	C₂×C₄	—	2	1	no	—
1606	C₂×C₄	—	2	1	no	—
1607	C₂×C₄	—	2	1	no	—
1608	C₂×C₄	—	2	2	no	—
1609	C₂×C₄	—	4	1	no	—
1610	C₂×C₄	—	4	1	no	—
1611	C₂×C₄	—	4	2	no	—
1612	C₂×C₄	—	4	2	no	—
1613	C₂×C₄	—	4	2	no	—
1614	C₂×C₄	—	4	2	no	—
1615	C₂×C₄	—	4	2	no	—
1616	C₂×C₄	—	4	2	no	—
1617	C₂×C₄	—	4	1	no	—
1618	C₂×C₄	—	4	1	no	—
1619	C₂×C₄	—	4	1	no	—
1620	C₂×C₄	—	4	8	no	—
1621	C₂×C₄	—	4	2	no	—
1622	C₂×C₄	—	4	1	no	—
1623	C₂×C₄	—	4	1	no	—
1624	C₂×C₄	—	4	1	no	—
1625	C₂×C₄	—	4	1	no	—
1626	C₂×C₄	—	4	1	no	—
1627	C₂×C₄	—	4	1	no	—
1628	C₂×C₄	—	4	1	no	—
1629	C₂×C₄	—	4	1	no	—
1630	C₂×C₄	—	4	1	no	—
1631	C₂×C₄	—	4	1	no	—
1632	C₂×C₄	—	4	1	no	—
1633	C₂×C₄	—	4	1	no	—
1634	C₂×C₄	—	4	1	no	—
1635	C₂×C₄	—	8	1	no	—
1636	C₂×C₄	—	8	1	no	—
1637	C₂×C₄	—	8	1	no	—
1638	C₂×C₄	—	8	1	no	—
1639	C₂×C₄	—	8	1	no	—
1640	C₂×C₄	—	8	1	no	—
1641	C₂×C₄	—	8	1	no	—
1642	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1643	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1644	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1645	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1646	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1647	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1648	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1649	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1650	C₂×C₄	C₂⁴×C₄	1	1	yes	characteristic
1651	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1652	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1653	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1654	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1655	C₂×C₄	#585	1	1	yes	characteristic
1656	C₈	—	2	1	no	—
1657	C₈	—	2	1	no	—
1658	C₈	—	2	1	no	—
1659	C₈	—	2	1	no	—
1660	C₈	—	2	1	no	—
1661	C₈	—	2	1	no	—
1662	C₈	—	2	1	no	—
1663	C₈	—	2	1	no	—
1664	C₈	—	2	1	no	—
1665	C₈	—	2	1	no	—
1666	C₈	—	2	2	no	—
1667	C₈	—	2	1	no	—
1668	C₈	—	2	1	no	—
1669	C₈	—	2	1	no	—
1670	C₈	—	2	1	no	—
1671	C₈	—	2	2	no	—
1672	C₈	—	4	1	no	—
1673	C₈	—	4	1	no	—
1674	C₈	—	4	1	no	—
1675	C₈	—	4	1	no	—
1676	C₈	—	4	1	no	—
1677	C₈	—	4	1	no	—
1678	C₈	#546	1	2	yes	—
1679	C₈	#546	1	2	yes	—
1680	C₂²	—	2	1	no	—
1681	C₂²	—	2	1	no	—
1682	C₂²	—	2	1	no	—
1683	C₂²	—	2	1	no	—
1684	C₂²	—	2	1	no	—
1685	C₂²	—	2	1	no	—
1686	C₂²	—	2	1	no	—
1687	C₂²	—	2	1	no	—
1688	C₂²	—	2	1	no	—
1689	C₂²	—	2	1	no	—
1690	C₂²	—	2	1	no	—
1691	C₂²	—	2	1	no	—
1692	C₂²	—	2	1	no	—
1693	C₂²	—	2	2	no	—
1694	C₂²	—	4	2	no	—
1695	C₂²	—	4	2	no	—
1696	C₂²	—	4	1	no	—
1697	C₂²	—	4	1	no	—
1698	C₂²	—	4	1	no	—
1699	C₂²	—	4	1	no	—
1700	C₂²	—	4	1	no	—
1701	C₂²	—	4	1	no	—
1702	C₂²	—	4	1	no	—
1703	C₂²	—	4	1	no	—
1704	C₂²	—	4	1	no	—
1705	C₂²	—	4	1	no	—
1706	C₂²	—	4	1	no	—
1707	C₂²	—	8	1	no	—
1708	C₂²	—	8	1	no	—
1709	C₂²	—	8	4	no	—
1710	C₂²	—	16	2	no	—
1711	C₂²	#2957	1	2	yes	—
1712	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
1713	C₂²	#3475	1	1	yes	characteristic
1714	C₂²	#3481	1	1	yes	characteristic
1715	C₄	—	2	1	no	—
1716	C₄	—	2	1	no	—
1717	C₄	—	2	1	no	—
1718	C₄	—	2	1	no	—
1719	C₄	—	2	1	no	—
1720	C₄	—	2	1	no	—
1721	C₄	—	2	1	no	—
1722	C₄	—	2	1	no	—
1723	C₄	—	2	2	no	—
1724	C₄	—	4	2	no	—
1725	C₄	—	4	2	no	—
1726	C₄	—	4	1	no	—
1727	C₄	—	4	1	no	—
1728	C₄	—	4	1	no	—
1729	C₄	—	4	1	no	—
1730	C₄	—	4	1	no	—
1731	C₄	—	4	1	no	—
1732	C₄	—	4	1	no	—
1733	C₄	—	4	1	no	—
1734	C₄	—	4	1	no	—
1735	C₄	—	4	1	no	—
1736	C₄	—	4	1	no	—
1737	C₄	—	8	1	no	—
1738	C₄	—	8	1	no	—
1739	C₄	C₂×C₄×#41	1	1	yes	characteristic
1740	C₄	C₄×H(5,𝔽₂)	1	1	yes	characteristic
1741	C₄	C₂×#546	1	1	yes	characteristic
1742	C₄	D₄×#41	1	1	yes	characteristic
1743	C₂	—	2	1	no	—
1744	C₂	—	2	1	no	—
1745	C₂	—	2	2	no	—
1746	C₂	—	4	1	no	—
1747	C₂	—	4	1	no	—
1748	C₂	—	4	1	no	—
1749	C₂	—	4	2	no	—
1750	C₂	—	8	1	no	—
1751	C₂	—	8	1	no	—
1752	C₂	—	8	1	no	—
1753	C₂	C₄×#546	1	1	yes	characteristic
1754	C₂	C₂×#2957	1	1	yes	characteristic
1755	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	#61124	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄ ◁ C₂×#435 ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #60216	C₂	semidirect
3. #60146	C₂	semidirect
4. #23234	C₂	semidirect
5. #23146	C₂	semidirect
6. #23146	C₂	semidirect
7. #23115	C₂	semidirect
8. #22984	C₂	semidirect
9. #22950	C₂	semidirect
10. #22949	C₂	semidirect
11. #22887	C₂	semidirect
12. #22886	C₂	semidirect
13. #22783	C₂	semidirect
14. #22717	C₂	semidirect
15. #22587	C₂	semidirect
16. #22587	C₂	semidirect
17. #22506	C₂	semidirect
18. #22434	C₂	semidirect
19. #21659	C₂	semidirect
20. #21629	C₂	semidirect
21. #21594	C₂	semidirect
22. #21593	C₂	semidirect
23. #21547	C₂	semidirect
24. #21544	C₂	semidirect
25. #21519	C₂	semidirect
26. #21468	C₂	semidirect
27. #21467	C₂	semidirect
28. #20513	C₂	semidirect
29. #20484	C₂	semidirect
30. #20422	C₂	semidirect
31. C₂×#1764	C₂	semidirect
36. #3305	C₄	semidirect
37. #3304	C₄	semidirect
38. #3303	C₄	semidirect
39. #3302	C₄	semidirect
40. #3301	C₄	semidirect
41. #3301	C₄	semidirect
42. #3300	C₄	semidirect
43. #3300	C₄	semidirect
44. #3299	C₄	semidirect
45. #3298	C₄	semidirect
46. #3297	C₄	semidirect
47. #3297	C₄	semidirect
48. #3296	C₄	semidirect
49. #3296	C₄	semidirect
50. #3295	C₄	semidirect
51. #3294	C₄	semidirect
69. #2962	C₂²	semidirect
70. #2961	C₂²	semidirect
73. C₂×#444	C₂²	semidirect
74. C₂×#443	C₂²	semidirect
85. #2933	C₂²	semidirect
86. #2933	C₂²	semidirect
91. #2930	C₂²	semidirect
94. #2929	C₂²	semidirect
98. #2925	C₂²	semidirect
99. #2924	C₂²	semidirect
100. #2924	C₂²	semidirect
109. #2875	C₂²	semidirect
110. #2873	C₂²	semidirect
111. C₂×#405	C₂²	semidirect
112. C₂×#405	C₂²	semidirect
113. C₂²×C₄×C₈	C₂²	semidirect
115. #1995	C₂²	semidirect
116. #1986	C₂²	semidirect
118. #1975	C₂²	semidirect
119. #1974	C₂²	semidirect
121. #1950	C₂²	semidirect
122. #1950	C₂²	semidirect
123. #1946	C₂²	semidirect
124. #1945	C₂²	semidirect
125. #1938	C₂²	semidirect
126. #1938	C₂²	semidirect
127. #1937	C₂²	semidirect
128. #1937	C₂²	semidirect
129. #1937	C₂²	semidirect
130. #1937	C₂²	semidirect
131. #1937	C₂²	semidirect
132. #1937	C₂²	semidirect
133. #1929	C₂²	semidirect
134. #1929	C₂²	semidirect
135. #1929	C₂²	semidirect
136. #1929	C₂²	semidirect
137. #1929	C₂²	semidirect
138. #1929	C₂²	semidirect
139. #1922	C₂²	semidirect
140. #1922	C₂²	semidirect
141. #1922	C₂²	semidirect
142. #1922	C₂²	semidirect
143. #1922	C₂²	semidirect
144. #1922	C₂²	semidirect
146. #1897	C₂²	semidirect
148. #1896	C₂²	semidirect
151. #1876	C₂²	semidirect
152. #1876	C₂²	semidirect
153. #1876	C₂²	semidirect
154. #1876	C₂²	semidirect
157. #1871	C₂²	semidirect
158. #1871	C₂²	semidirect
163. #1866	C₂²	semidirect
164. #1866	C₂²	semidirect
165. #1855	C₂²	semidirect
166. #1855	C₂²	semidirect
167. #1855	C₂²	semidirect
168. #1855	C₂²	semidirect
169. #1837	C₂²	semidirect
170. #1826	C₂²	semidirect
171. #1826	C₂²	semidirect
172. #1810	C₂²	semidirect
173. #1810	C₂²	semidirect
175. #1806	C₂²	semidirect
178. C₄×#108	C₂²	semidirect
179. #1773	C₂²	semidirect
180. #1773	C₂²	semidirect
181. #1773	C₂²	semidirect
182. #1772	C₂²	semidirect
183. #1771	C₂²	semidirect
184. C₈×C₄⋊C₄	C₂²	semidirect
185. #1768	C₂²	semidirect
188. #1765	C₂²	semidirect
189. #1765	C₂²	semidirect
190. #1765	C₂²	semidirect
191. #1765	C₂²	semidirect
198. #1764	C₂²	semidirect
199. #1764	C₂²	semidirect
200. #1764	C₂²	semidirect
201. #1764	C₂²	semidirect
202. #1764	C₂²	semidirect
203. #1764	C₂²	semidirect
204. #1764	C₂²	semidirect
205. #1764	C₂²	semidirect
207. #1759	C₂²	semidirect
208. #1753	C₂²	semidirect
209. #1752	C₂²	semidirect
210. C₈×C₂²⋊C₄	C₂²	semidirect
211. C₈×C₂²⋊C₄	C₂²	semidirect
212. #1750	C₂²	semidirect
213. #1749	C₂²	semidirect
214. C₂×#341	C₂²	semidirect
215. C₂×#341	C₂²	semidirect
216. #1733	C₂²	semidirect
217. C₂×#339	C₂²	semidirect
218. #1726	C₂²	semidirect
299. #488	C₂×C₄	semidirect
300. #488	C₂×C₄	semidirect
301. #488	C₂×C₄	semidirect
302. #488	C₂×C₄	semidirect
303. #487	C₂×C₄	semidirect
304. #487	C₂×C₄	semidirect
305. #486	C₂×C₄	semidirect
306. #486	C₂×C₄	semidirect
309. #485	C₂×C₄	semidirect
310. #485	C₂×C₄	semidirect
312. #484	C₂×C₄	semidirect
314. #483	C₂×C₄	semidirect
317. #482	C₂×C₄	semidirect
318. #482	C₂×C₄	semidirect
320. #481	C₂×C₄	semidirect
322. #480	C₂×C₄	semidirect
323. #479	C₂×C₄	semidirect
324. #479	C₂×C₄	semidirect
325. #478	C₂×C₄	semidirect
326. #478	C₂×C₄	semidirect
327. #477	C₂×C₄	semidirect
328. #476	C₂×C₄	semidirect
329. #475	C₂×C₄	semidirect
330. #474	C₂×C₄	semidirect
333. #467	C₂×C₄	semidirect
334. #467	C₂×C₄	semidirect
337. #466	C₂×C₄	semidirect
338. #466	C₂×C₄	semidirect
343. #465	C₂×C₄	semidirect
344. #465	C₂×C₄	semidirect
345. #465	C₂×C₄	semidirect
346. #465	C₂×C₄	semidirect
347. #464	C₂×C₄	semidirect
348. #464	C₂×C₄	semidirect
349. #463	C₂×C₄	semidirect
350. #463	C₂×C₄	semidirect
351. #462	C₂×C₄	semidirect
352. #461	C₂×C₄	semidirect
353. #460	C₂×C₄	semidirect
354. #459	C₂×C₄	semidirect
357. #452	C₂×C₄	semidirect
358. #452	C₂×C₄	semidirect
360. #451	C₂×C₄	semidirect
362. #450	C₂×C₄	semidirect
365. #449	C₂×C₄	semidirect
366. #449	C₂×C₄	semidirect
368. #448	C₂×C₄	semidirect
370. #447	C₂×C₄	semidirect
383. C₄×Q₁₆	C₂×C₄	semidirect
384. C₄×Q₁₆	C₂×C₄	semidirect
385. C₄×SD₁₆	C₂×C₄	semidirect
386. C₄×SD₁₆	C₂×C₄	semidirect
387. C₄×SD₁₆	C₂×C₄	semidirect
388. C₄×SD₁₆	C₂×C₄	semidirect
389. C₄×D₈	C₂×C₄	semidirect
390. C₄×D₈	C₂×C₄	semidirect
512. #416	C₂×C₄	semidirect
513. #416	C₂×C₄	semidirect
514. #416	C₂×C₄	semidirect
515. #416	C₂×C₄	semidirect
528. C₂×#103	C₂×C₄	semidirect
529. C₂×#103	C₂×C₄	semidirect
532. C₂×#102	C₂×C₄	semidirect
533. C₂×#102	C₂×C₄	semidirect
713. #131	#41	semidirect
1023. #104	#41	semidirect

Maximal subgroups

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

subgroup	index
#61124	2
#60216	2
#60146	2
#23234	2
#23146	2
#23115	2
#22984	2
#22950	2
#22949	2
#22887	2
#22886	2
#22783	2
#22717	2
#22587	2
#22506	2
#22434	2
#21659	2
#21629	2
#21594	2
#21593	2
#21547	2
#21544	2
#21519	2
#21468	2
#21467	2
#20513	2
#20484	2
#20422	2
C₂×#1764	2