Subgroups — #6832093

Order 512.

1569 conjugacy classes of subgroups.

The subgroup lattice has 1308 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#39511	C₂	1	1	yes	maximal, characteristic
2	#39179	C₂	1	1	yes	maximal, characteristic, complemented
3	#33053	C₂	1	1	yes	maximal, characteristic, complemented
4	#32624	C₂	1	1	yes	maximal, characteristic, complemented
5	#32618	C₂	1	1	yes	maximal, characteristic, complemented
6	#32456	C₂	1	1	yes	maximal, characteristic, complemented
7	#32453	C₂	1	1	yes	maximal, characteristic, complemented
8	#31171	C₂	1	1	yes	maximal, characteristic, complemented
9	#31169	C₂	1	1	yes	maximal, characteristic, complemented
10	#30897	C₂	1	1	yes	maximal, characteristic, complemented
11	#30897	C₂	1	1	yes	maximal, characteristic, complemented
12	#29956	C₂	1	1	yes	maximal, characteristic
13	#29715	C₂	1	1	yes	maximal, characteristic, complemented
14	#29094	C₂	1	1	yes	maximal, characteristic, complemented
15	#29086	C₂	1	1	yes	maximal, characteristic, complemented
16	#28424	C₂	1	1	yes	maximal, characteristic, complemented
17	#28411	C₂	1	1	yes	maximal, characteristic, complemented
18	#27262	C₂	1	1	yes	maximal, characteristic
19	#27256	C₂	1	1	yes	maximal, characteristic
20	#26839	C₂	1	1	yes	maximal, characteristic, complemented
21	#26830	C₂	1	1	yes	maximal, characteristic, complemented
22	#26344	C₂	1	1	yes	maximal, characteristic, complemented
23	#26342	C₂	1	1	yes	maximal, characteristic, complemented
24	#25307	C₂	1	1	yes	maximal, characteristic, complemented
25	#25299	C₂	1	1	yes	maximal, characteristic, complemented
26	#24357	C₂	1	1	yes	maximal, characteristic
27	#24357	C₂	1	1	yes	maximal, characteristic
28	#22871	C₂	1	1	yes	maximal, characteristic, complemented
29	#22859	C₂	1	1	yes	maximal, characteristic, complemented
30	#21599	C₂	1	1	yes	maximal, characteristic, complemented
31	C₂×#1973	C₂	1	1	yes	maximal, characteristic
32	C₂³×SD₁₆	C₂²	1	1	yes	characteristic
33	C₂×#491	C₂²	1	1	yes	characteristic, complemented
34	C₂×#489	C₂²	1	1	yes	characteristic
35	C₂×#488	C₂²	1	1	yes	characteristic
36	C₂×#479	C₂²	1	1	yes	characteristic, complemented
37	C₂×#477	C₂²	1	1	yes	characteristic, complemented
38	C₂×#464	C₂²	1	1	yes	characteristic
39	C₂×#464	C₂²	1	1	yes	characteristic
40	C₂×#464	C₂²	1	1	yes	characteristic
41	C₂×#464	C₂²	1	1	yes	characteristic
42	C₂×#451	C₂²	1	1	yes	characteristic
43	C₂×#451	C₂²	1	1	yes	characteristic
44	C₂×#446	C₂²	1	1	yes	characteristic, complemented
45	C₂×#441	C₂²	1	1	yes	characteristic, complemented
46	C₂×C₄×Q₁₆	C₂²	1	1	yes	characteristic, complemented
47	C₂²×#107	C₂²	1	1	yes	characteristic
48	C₂²×#103	C₂²	1	1	yes	characteristic
49	C₂²×#102	C₂²	1	1	yes	characteristic
50	C₂²×#97	C₂²	1	1	yes	characteristic
51	#2857	C₂²	1	1	yes	characteristic
52	#2851	C₂²	1	1	yes	characteristic
53	#2809	—	2	1	no	—
54	#2808	—	2	1	no	—
55	#2806	—	2	1	no	—
56	#2800	—	2	1	no	—
57	#2800	—	2	1	no	—
58	#2799	—	2	1	no	—
59	#2799	—	2	1	no	—
60	#2727	—	2	1	no	—
61	#2646	—	2	1	no	—
62	#2626	—	2	1	no	—
63	#2592	C₂²	1	1	yes	characteristic
64	#2592	C₂²	1	1	yes	characteristic
65	#2582	C₂²	1	1	yes	characteristic, complemented
66	#2581	C₂²	1	1	yes	characteristic, complemented
67	#2569	—	2	1	no	—
68	#2568	C₂²	1	1	yes	characteristic, complemented
69	#2565	C₂²	1	1	yes	characteristic, complemented
70	#2549	—	2	1	no	—
71	#2545	C₂²	1	1	yes	characteristic
72	#2545	C₂²	1	1	yes	characteristic
73	#2512	C₂²	1	1	yes	characteristic
74	#2512	C₂²	1	1	yes	characteristic
75	#2480	—	2	1	no	—
76	#2480	—	2	1	no	—
77	#2453	C₂²	1	1	yes	characteristic, complemented
78	#2453	C₂²	1	1	yes	characteristic, complemented
79	#2453	C₂²	1	1	yes	characteristic, complemented
80	#2451	C₂²	1	1	yes	characteristic, complemented
81	#2448	C₂²	1	1	yes	characteristic
82	#2448	C₂²	1	1	yes	characteristic
83	#2442	C₂²	1	1	yes	characteristic
84	#2440	C₂²	1	1	yes	characteristic
85	#2435	C₂²	1	1	yes	characteristic
86	#2435	C₂²	1	1	yes	characteristic
87	#2360	C₂²	1	1	yes	characteristic
88	#2360	C₂²	1	1	yes	characteristic
89	Q₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
90	Q₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
91	#2329	—	2	1	no	—
92	#2312	—	2	1	no	—
93	C₄×C₂²⋊Q₈	C₂²	1	1	yes	characteristic
94	C₂×#391	C₂²	1	1	yes	characteristic
95	C₂×#390	C₂²	1	1	yes	characteristic
96	#2097	C₂²	1	1	yes	characteristic, complemented
97	#2095	C₂²	1	1	yes	characteristic, complemented
98	#2092	C₂²	1	1	yes	characteristic
99	#2092	C₂²	1	1	yes	characteristic
100	#2087	C₂²	1	1	yes	characteristic, complemented
101	#2086	C₂²	1	1	yes	characteristic, complemented
102	#2073	C₂²	1	1	yes	characteristic
103	#2072	C₂²	1	1	yes	characteristic, complemented
104	#2072	C₂²	1	1	yes	characteristic, complemented
105	#2071	C₂²	1	1	yes	characteristic
106	#2068	C₂²	1	1	yes	characteristic, complemented
107	#2068	C₂²	1	1	yes	characteristic, complemented
108	#2067	C₂²	1	1	yes	characteristic
109	#2067	C₂²	1	1	yes	characteristic
110	#2065	C₂²	1	1	yes	characteristic
111	#2065	C₂²	1	1	yes	characteristic
112	#2059	C₂²	1	1	yes	characteristic, complemented
113	#2057	C₂²	1	1	yes	characteristic, complemented
114	#2056	C₂²	1	1	yes	characteristic, complemented
115	#2056	C₂²	1	1	yes	characteristic, complemented
116	#2056	C₂²	1	1	yes	characteristic, complemented
117	#2056	C₂²	1	1	yes	characteristic, complemented
118	#2055	C₂²	1	1	yes	characteristic
119	#2055	C₂²	1	1	yes	characteristic
120	#2055	C₂²	1	1	yes	characteristic
121	#2055	C₂²	1	1	yes	characteristic
122	#2042	C₂²	1	1	yes	characteristic
123	#2042	C₂²	1	1	yes	characteristic
124	#2042	C₂²	1	1	yes	characteristic
125	#2042	C₂²	1	1	yes	characteristic
126	#2025	C₂²	1	1	yes	characteristic
127	#2025	C₂²	1	1	yes	characteristic
128	#2025	C₂²	1	1	yes	characteristic
129	#2023	C₂²	1	1	yes	characteristic
130	#2016	C₂²	1	1	yes	characteristic, complemented
131	#2016	C₂²	1	1	yes	characteristic, complemented
132	#2015	C₂²	1	1	yes	characteristic
133	#2015	C₂²	1	1	yes	characteristic
134	#2015	C₂²	1	1	yes	characteristic
135	#2015	C₂²	1	1	yes	characteristic
136	#1992	C₂²	1	1	yes	characteristic, complemented
137	#1985	C₂²	1	1	yes	characteristic, complemented
138	#1973	C₂²	1	1	yes	characteristic
139	#1973	C₂²	1	1	yes	characteristic
140	#1973	C₂²	1	1	yes	characteristic
141	#1973	C₂²	1	1	yes	characteristic
142	#1973	C₂²	1	1	yes	characteristic
143	#1973	C₂²	1	1	yes	characteristic
144	#1973	C₂²	1	1	yes	characteristic
145	#1973	C₂²	1	1	yes	characteristic
146	#1971	C₂²	1	1	yes	characteristic, complemented
147	#1969	C₂²	1	1	yes	characteristic, complemented
148	#1960	C₂²	1	1	yes	characteristic, complemented
149	#1959	C₂²	1	1	yes	characteristic
150	#1958	C₂²	1	1	yes	characteristic
151	#1949	C₂²	1	1	yes	characteristic, complemented
152	#1947	C₂²	1	1	yes	characteristic, complemented
153	#1940	C₂²	1	1	yes	characteristic, complemented
154	#1936	C₂²	1	1	yes	characteristic
155	#1936	C₂²	1	1	yes	characteristic
156	#1935	C₂²	1	1	yes	characteristic, complemented
157	#1935	C₂²	1	1	yes	characteristic, complemented
158	#1935	C₂²	1	1	yes	characteristic, complemented
159	#1935	C₂²	1	1	yes	characteristic, complemented
160	#1935	C₂²	1	1	yes	characteristic, complemented
161	#1934	C₂²	1	1	yes	characteristic
162	#1934	C₂²	1	1	yes	characteristic
163	#1933	C₂²	1	1	yes	characteristic, complemented
164	#1928	C₂²	1	1	yes	characteristic, complemented
165	#1927	C₂²	1	1	yes	characteristic, complemented
166	#1921	C₂²	1	1	yes	characteristic, complemented
167	#1918	C₂²	1	1	yes	characteristic, complemented
168	#1917	C₂²	1	1	yes	characteristic, complemented
169	#1917	C₂²	1	1	yes	characteristic, complemented
170	#1892	C₂²	1	1	yes	characteristic
171	#1892	C₂²	1	1	yes	characteristic
172	#1892	C₂²	1	1	yes	characteristic
173	#1892	C₂²	1	1	yes	characteristic
174	#1880	C₂²	1	1	yes	characteristic
175	#1880	C₂²	1	1	yes	characteristic
176	#1880	C₂²	1	1	yes	characteristic
177	#1880	C₂²	1	1	yes	characteristic
178	#1878	C₂²	1	1	yes	characteristic, complemented
179	#1878	C₂²	1	1	yes	characteristic, complemented
180	#1878	C₂²	1	1	yes	characteristic, complemented
181	#1878	C₂²	1	1	yes	characteristic, complemented
182	#1872	C₂²	1	1	yes	characteristic
183	#1872	C₂²	1	1	yes	characteristic
184	#1865	C₂²	1	1	yes	characteristic, complemented
185	#1863	C₂²	1	1	yes	characteristic, complemented
186	#1863	C₂²	1	1	yes	characteristic, complemented
187	#1863	C₂²	1	1	yes	characteristic, complemented
188	#1853	C₂²	1	1	yes	characteristic
189	#1852	C₂²	1	1	yes	characteristic
190	#1850	C₂²	1	1	yes	characteristic
191	#1850	C₂²	1	1	yes	characteristic
192	#1836	C₂²	1	1	yes	characteristic, complemented
193	#1797	C₂²	1	1	yes	characteristic
194	#1786	C₂²	1	1	yes	characteristic
195	#1786	C₂²	1	1	yes	characteristic
196	#1771	C₂²	1	1	yes	characteristic, complemented
197	#1771	C₂²	1	1	yes	characteristic, complemented
198	#1770	C₂²	1	1	yes	characteristic, complemented
199	#1763	C₂²	1	1	yes	characteristic, complemented
200	C₄×#103	C₂²	1	1	yes	characteristic, complemented
201	#1752	C₂²	1	1	yes	characteristic
202	C₈×C₂²⋊C₄	C₂²	1	1	yes	characteristic
203	C₂³×Q₈	C₂³	1	1	yes	characteristic
204	C₂³×D₄	C₂³	1	1	yes	characteristic
205	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
206	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
207	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
208	C₂²×Q₁₆	C₂³	1	1	yes	characteristic
209	C₂²×SD₁₆	—	2	4	no	—
210	C₂²×SD₁₆	—	4	2	no	—
211	C₂²×SD₁₆	—	4	2	no	—
212	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
213	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
214	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
215	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
216	C₂³×C₈	C₂³	1	1	yes	characteristic
217	C₂³×C₈	C₂³	1	1	yes	characteristic
218	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
219	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
220	C₂×#126	—	2	1	no	—
221	C₂×#126	—	2	1	no	—
222	C₂×#125	C₂³	1	1	yes	characteristic
223	C₂×#125	C₂³	1	1	yes	characteristic
224	C₂×#124	C₂³	1	1	yes	characteristic
225	C₂×#124	C₂³	1	1	yes	characteristic
226	C₂×#124	C₂³	1	1	yes	characteristic
227	C₂×#124	C₂³	1	1	yes	characteristic
228	C₂×C₂²⋊Q₈	—	2	1	no	—
229	C₂×C₂²⋊Q₈	D₄	1	1	yes	characteristic
230	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
231	C₂×C₂²⋊Q₈	C₂³	1	1	yes	characteristic
232	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
233	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
234	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
235	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
236	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
237	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
238	C₂×C₄×Q₈	C₂³	1	1	yes	characteristic
239	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
240	C₂²×C₄⋊C₄	C₂³	1	1	yes	characteristic
241	C₂²×C₂²⋊C₄	—	2	1	no	—
242	C₂²×C₂²⋊C₄	—	2	1	no	—
243	C₂²×C₄²	C₂³	1	1	yes	characteristic
244	#491	—	4	2	no	—
245	#489	—	4	2	no	—
246	#488	—	4	2	no	—
247	#479	—	4	2	no	—
248	#477	—	4	2	no	—
249	#464	—	4	2	no	—
250	#464	—	4	2	no	—
251	#464	—	4	2	no	—
252	#464	—	4	2	no	—
253	#451	—	2	4	no	—
254	#451	—	2	4	no	—
255	#446	—	4	2	no	—
256	#441	—	4	2	no	—
257	C₄×Q₁₆	—	4	2	no	—
258	C₂×#107	—	4	2	no	—
259	C₂×#107	C₂³	1	1	yes	characteristic
260	C₂×#107	C₂³	1	1	yes	characteristic
261	C₂×#107	C₂³	1	1	yes	characteristic
262	C₂×#107	C₂³	1	1	yes	characteristic
263	C₂×#107	C₂³	1	1	yes	characteristic
264	C₂×#107	C₂³	1	1	yes	characteristic
265	C₂×#106	C₂³	1	1	yes	characteristic
266	C₂×#106	C₂³	1	1	yes	characteristic
267	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
268	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
269	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
270	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
271	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
272	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
273	C₂×#103	—	4	2	no	—
274	C₂×#103	C₂³	1	1	yes	characteristic
275	C₂×#103	C₂³	1	1	yes	characteristic
276	C₂×#103	C₂³	1	1	yes	characteristic
277	C₂×#103	C₂³	1	1	yes	characteristic
278	C₂×#103	C₂³	1	1	yes	characteristic
279	C₂×#103	C₂³	1	1	yes	characteristic
280	C₂×#103	C₂³	1	1	yes	characteristic
281	C₂×#103	C₂³	1	1	yes	characteristic
282	C₂×#103	C₂³	1	1	yes	characteristic
283	C₂×#103	C₂³	1	1	yes	characteristic
284	C₂×#103	C₂³	1	1	yes	characteristic
285	C₂×#103	C₂³	1	1	yes	characteristic
286	C₂×#103	C₂³	1	1	yes	characteristic
287	C₂×#103	C₂³	1	1	yes	characteristic
288	C₂×#103	C₂³	1	1	yes	characteristic
289	C₂×#103	C₂³	1	1	yes	characteristic
290	C₂×#103	C₂³	1	1	yes	characteristic
291	C₂×#103	C₂³	1	1	yes	characteristic
292	C₂×#103	C₂³	1	1	yes	characteristic
293	C₂×#103	C₂³	1	1	yes	characteristic
294	C₂×#102	—	4	2	no	—
295	C₂×#102	C₂³	1	1	yes	characteristic
296	C₂×#102	C₂³	1	1	yes	characteristic
297	C₂×#102	C₂³	1	1	yes	characteristic
298	C₂×#102	C₂³	1	1	yes	characteristic
299	C₂×#102	C₂³	1	1	yes	characteristic
300	C₂×#102	C₂³	1	1	yes	characteristic
301	C₂×#102	C₂³	1	1	yes	characteristic
302	C₂×#102	C₂³	1	1	yes	characteristic
303	C₂×#102	C₂³	1	1	yes	characteristic
304	C₂×#102	C₂³	1	1	yes	characteristic
305	C₂×#102	C₂³	1	1	yes	characteristic
306	C₂×#102	C₂³	1	1	yes	characteristic
307	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
308	C₂×C₂²⋊C₈	C₂³	1	1	yes	characteristic
309	C₂×#97	—	4	2	no	—
310	C₂×#97	C₂³	1	1	yes	characteristic
311	C₂×#97	C₂³	1	1	yes	characteristic
312	C₂×#97	C₂³	1	1	yes	characteristic
313	C₂×#97	C₂³	1	1	yes	characteristic
314	C₂×#97	C₂³	1	1	yes	characteristic
315	C₂×#97	C₂³	1	1	yes	characteristic
316	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
317	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
318	#400	—	2	1	no	—
319	#400	—	2	1	no	—
320	#400	—	2	1	no	—
321	#400	—	2	1	no	—
322	#400	—	2	1	no	—
323	#400	—	2	1	no	—
324	#400	—	2	1	no	—
325	#399	—	2	1	no	—
326	#399	—	2	1	no	—
327	#398	—	2	1	no	—
328	#398	—	2	1	no	—
329	#398	—	2	1	no	—
330	#398	—	2	1	no	—
331	#398	—	2	1	no	—
332	#398	—	2	1	no	—
333	#398	—	2	1	no	—
334	#398	—	2	1	no	—
335	#398	—	2	1	no	—
336	#398	—	2	1	no	—
337	#397	—	2	1	no	—
338	#397	—	2	1	no	—
339	#397	—	2	1	no	—
340	#397	—	2	1	no	—
341	#397	—	2	1	no	—
342	#397	—	2	1	no	—
343	#396	—	2	1	no	—
344	#396	—	2	1	no	—
345	#396	—	2	1	no	—
346	#396	—	2	1	no	—
347	#396	—	2	1	no	—
348	#396	—	2	1	no	—
349	#395	—	2	1	no	—
350	#395	—	2	1	no	—
351	#395	—	2	1	no	—
352	#394	—	2	1	no	—
353	#394	—	2	1	no	—
354	#394	—	2	1	no	—
355	#394	—	2	1	no	—
356	#393	—	2	1	no	—
357	#393	—	2	1	no	—
358	#391	—	2	1	no	—
359	#391	—	2	1	no	—
360	#391	—	2	1	no	—
361	#391	—	2	1	no	—
362	#391	—	2	1	no	—
363	#391	—	2	1	no	—
364	#391	—	2	1	no	—
365	#391	—	2	1	no	—
366	#391	—	2	1	no	—
367	#391	—	2	1	no	—
368	#391	D₄	1	1	yes	characteristic
369	#391	C₂³	1	1	yes	characteristic
370	#391	C₂³	1	1	yes	characteristic
371	#391	C₂³	1	1	yes	characteristic
372	#391	C₂³	1	1	yes	characteristic
373	#391	C₂³	1	1	yes	characteristic
374	#391	C₂³	1	1	yes	characteristic
375	#391	C₂³	1	1	yes	characteristic
376	#391	C₂³	1	1	yes	characteristic
377	#391	C₂³	1	1	yes	characteristic
378	#391	C₂³	1	1	yes	characteristic
379	#391	C₂³	1	1	yes	characteristic
380	#391	C₂³	1	1	yes	characteristic
381	#390	—	2	1	no	—
382	#390	—	2	1	no	—
383	#390	C₂³	1	1	yes	characteristic
384	#390	C₂³	1	1	yes	characteristic
385	#390	C₂³	1	1	yes	characteristic
386	#390	C₂³	1	1	yes	characteristic
387	#390	C₂³	1	1	yes	characteristic
388	#390	C₂³	1	1	yes	characteristic
389	#390	C₂³	1	1	yes	characteristic
390	#390	C₂³	1	1	yes	characteristic
391	#389	—	2	1	no	—
392	#389	—	2	1	no	—
393	#389	—	2	1	no	—
394	#389	—	2	1	no	—
395	#389	—	2	1	no	—
396	#389	—	2	1	no	—
397	#389	—	2	1	no	—
398	#389	—	2	1	no	—
399	#389	D₄	1	1	yes	characteristic
400	#389	C₂³	1	1	yes	characteristic
401	#389	C₂³	1	1	yes	characteristic
402	#389	C₂³	1	1	yes	characteristic
403	#389	C₂³	1	1	yes	characteristic
404	#389	C₂³	1	1	yes	characteristic
405	#389	C₂³	1	1	yes	characteristic
406	#389	C₂³	1	1	yes	characteristic
407	#389	C₂³	1	1	yes	characteristic
408	#388	—	2	1	no	—
409	#388	—	2	1	no	—
410	#388	—	2	1	no	—
411	#388	—	2	1	no	—
412	#388	—	2	1	no	—
413	#388	—	2	1	no	—
414	#388	—	2	1	no	—
415	#388	—	2	1	no	—
416	#388	—	2	1	no	—
417	#388	—	2	1	no	—
418	#388	—	2	1	no	—
419	#388	—	2	1	no	—
420	#388	—	2	1	no	—
421	#388	—	2	1	no	—
422	#387	—	2	1	no	—
423	#387	—	2	1	no	—
424	#387	—	2	1	no	—
425	#387	—	2	1	no	—
426	#387	—	2	1	no	—
427	#387	—	2	1	no	—
428	#387	—	2	1	no	—
429	#387	—	2	1	no	—
430	#387	—	2	1	no	—
431	#387	—	2	1	no	—
432	#387	—	2	1	no	—
433	#387	—	2	1	no	—
434	#387	D₄	1	1	yes	characteristic
435	#387	D₄	1	1	yes	characteristic
436	#385	—	2	1	no	—
437	#385	—	2	1	no	—
438	#385	—	2	1	no	—
439	#385	—	2	1	no	—
440	#385	—	2	1	no	—
441	#385	—	2	1	no	—
442	#385	D₄	1	1	yes	characteristic
443	#385	D₄	1	1	yes	characteristic
444	#384	C₂³	1	1	yes	characteristic
445	#384	C₂³	1	1	yes	characteristic
446	#382	C₂³	1	1	yes	characteristic
447	#382	C₂³	1	1	yes	characteristic
448	#380	—	2	1	no	—
449	#380	—	2	1	no	—
450	#380	—	2	1	no	—
451	#380	—	2	1	no	—
452	#380	—	2	1	no	—
453	#380	D₄	1	1	yes	characteristic
454	#380	C₂³	1	1	yes	characteristic
455	#380	C₂³	1	1	yes	characteristic
456	#379	—	2	1	no	—
457	#379	—	2	1	no	—
458	#379	—	2	1	no	—
459	#379	—	2	1	no	—
460	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
461	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
462	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
463	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
464	C₄×C₄⋊C₄	C₂³	1	1	yes	characteristic
465	C₄×C₂²⋊C₄	—	2	1	no	—
466	C₄×C₂²⋊C₄	—	2	1	no	—
467	C₄×C₂²⋊C₄	—	2	1	no	—
468	C₄×C₂²⋊C₄	—	2	1	no	—
469	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
470	C₄×C₂²⋊C₄	C₂³	1	1	yes	characteristic
471	C₂×#95	—	2	1	no	—
472	C₂×#95	—	2	1	no	—
473	#340	C₂³	1	1	yes	characteristic
474	#340	C₂³	1	1	yes	characteristic
475	#340	C₂³	1	1	yes	characteristic
476	#340	C₂³	1	1	yes	characteristic
477	#340	C₂³	1	1	yes	characteristic
478	#340	C₂³	1	1	yes	characteristic
479	#340	C₂³	1	1	yes	characteristic
480	#340	C₂³	1	1	yes	characteristic
481	#340	C₂³	1	1	yes	characteristic
482	#340	C₂³	1	1	yes	characteristic
483	#340	C₂³	1	1	yes	characteristic
484	#340	C₂³	1	1	yes	characteristic
485	#340	C₂³	1	1	yes	characteristic
486	#340	C₂³	1	1	yes	characteristic
487	#340	C₂³	1	1	yes	characteristic
488	#340	C₂³	1	1	yes	characteristic
489	#336	C₂³	1	1	yes	characteristic
490	#336	C₂³	1	1	yes	characteristic
491	#336	C₂³	1	1	yes	characteristic
492	#336	C₂³	1	1	yes	characteristic
493	#336	C₂³	1	1	yes	characteristic
494	#336	C₂³	1	1	yes	characteristic
495	#336	C₂³	1	1	yes	characteristic
496	#336	C₂³	1	1	yes	characteristic
497	#336	C₂³	1	1	yes	characteristic
498	#336	C₂³	1	1	yes	characteristic
499	C₂⁵	—	2	1	no	—
500	C₂²×Q₈	—	2	1	no	—
501	C₂²×Q₈	—	2	1	no	—
502	C₂²×Q₈	—	2	2	no	—
503	C₂²×Q₈	—	4	1	no	—
504	C₂²×Q₈	—	4	1	no	—
505	C₂²×Q₈	—	4	1	no	—
506	C₂²×Q₈	—	4	1	no	—
507	C₂²×Q₈	C₂×D₄	1	1	yes	characteristic
508	C₂²×Q₈	#41	1	4	yes	—
509	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
510	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
511	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
512	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
513	C₂²×D₄	—	2	1	no	—
514	C₂²×D₄	—	2	2	no	—
515	C₂²×D₄	—	2	2	no	—
516	C₂²×D₄	—	4	1	no	—
517	C₂²×D₄	—	4	1	no	—
518	C₂²×D₄	—	4	1	no	—
519	C₂²×D₄	—	4	1	no	—
520	C₂²×D₄	C₂⁴	1	1	yes	characteristic
521	C₂²×D₄	C₂⁴	1	1	yes	characteristic
522	C₂³×C₄	—	2	1	no	—
523	C₂³×C₄	—	2	1	no	—
524	C₂³×C₄	—	2	1	no	—
525	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
526	C₂³×C₄	C₂×D₄	1	1	yes	characteristic
527	C₂³×C₄	C₂⁴	1	1	yes	characteristic
528	C₂×Q₁₆	—	2	2	no	—
529	C₂×Q₁₆	—	2	2	no	—
530	C₂×Q₁₆	—	2	2	no	—
531	C₂×Q₁₆	—	2	2	no	—
532	C₂×Q₁₆	—	4	1	no	—
533	C₂×Q₁₆	—	4	1	no	—
534	C₂×Q₁₆	—	4	1	no	—
535	C₂×Q₁₆	—	4	1	no	—
536	C₂×Q₁₆	—	4	1	no	—
537	C₂×Q₁₆	—	4	1	no	—
538	C₂×Q₁₆	—	4	1	no	—
539	C₂×Q₁₆	—	4	1	no	—
540	C₂×SD₁₆	—	2	2	no	—
541	C₂×SD₁₆	—	2	2	no	—
542	C₂×SD₁₆	—	2	2	no	—
543	C₂×SD₁₆	—	2	2	no	—
544	C₂×SD₁₆	—	2	2	no	—
545	C₂×SD₁₆	—	2	2	no	—
546	C₂×SD₁₆	—	2	2	no	—
547	C₂×SD₁₆	—	2	2	no	—
548	C₂×SD₁₆	—	4	1	no	—
549	C₂×SD₁₆	—	4	1	no	—
550	C₂×SD₁₆	—	4	1	no	—
551	C₂×SD₁₆	—	4	1	no	—
552	C₂×SD₁₆	—	4	16	no	—
553	C₂²×C₈	—	2	2	no	—
554	C₂²×C₈	—	2	2	no	—
555	C₂²×C₈	—	2	2	no	—
556	C₂²×C₈	—	2	2	no	—
557	C₂²×C₈	—	2	2	no	—
558	C₂²×C₈	—	4	1	no	—
559	C₂²×C₈	C₂⁴	1	1	yes	characteristic
560	C₂²×C₈	C₂⁴	1	1	yes	characteristic
561	C₂²×C₈	C₂⁴	1	1	yes	characteristic
562	C₂²×C₈	C₂⁴	1	1	yes	characteristic
563	C₂²×C₈	C₂⁴	1	1	yes	characteristic
564	C₂²×C₈	C₂⁴	1	1	yes	characteristic
565	C₂²×C₈	C₂⁴	1	1	yes	characteristic
566	C₂²×C₈	C₂⁴	1	1	yes	characteristic
567	C₄⋊Q₈	—	4	1	no	—
568	C₄⋊Q₈	—	4	1	no	—
569	C₄⋊Q₈	—	4	1	no	—
570	C₄⋊Q₈	—	4	1	no	—
571	#126	—	8	2	no	—
572	#126	—	8	2	no	—
573	#125	—	4	1	no	—
574	#125	—	4	1	no	—
575	#125	—	4	1	no	—
576	#125	—	4	1	no	—
577	#124	—	4	1	no	—
578	#124	—	4	1	no	—
579	#124	—	4	1	no	—
580	#124	—	4	1	no	—
581	#124	—	4	1	no	—
582	#124	—	4	1	no	—
583	#124	—	4	1	no	—
584	#124	—	4	1	no	—
585	C₂²⋊Q₈	—	2	2	no	—
586	C₂²⋊Q₈	—	2	2	no	—
587	C₂²⋊Q₈	—	2	2	no	—
588	C₂²⋊Q₈	—	2	2	no	—
589	C₂²⋊Q₈	—	4	2	no	—
590	C₂²⋊Q₈	—	4	4	no	—
591	C₄×Q₈	—	4	1	no	—
592	C₄×Q₈	—	4	1	no	—
593	C₄×Q₈	—	4	1	no	—
594	C₄×Q₈	—	4	1	no	—
595	C₄×Q₈	—	4	1	no	—
596	C₄×Q₈	—	4	1	no	—
597	C₄×Q₈	—	4	1	no	—
598	C₄×Q₈	—	4	1	no	—
599	C₄×Q₈	—	4	1	no	—
600	C₄×Q₈	—	4	1	no	—
601	C₄×Q₈	—	4	1	no	—
602	C₄×Q₈	—	4	1	no	—
603	C₄×Q₈	—	4	1	no	—
604	C₄×Q₈	—	4	1	no	—
605	C₂×C₄⋊C₄	—	2	1	no	—
606	C₂×C₄⋊C₄	—	2	1	no	—
607	C₂×C₄⋊C₄	—	2	1	no	—
608	C₂×C₄⋊C₄	—	2	1	no	—
609	C₂×C₄⋊C₄	—	2	1	no	—
610	C₂×C₄⋊C₄	—	2	1	no	—
611	C₂×C₄⋊C₄	—	2	1	no	—
612	C₂×C₄⋊C₄	—	2	1	no	—
613	C₂×C₄⋊C₄	—	2	1	no	—
614	C₂×C₄⋊C₄	—	2	1	no	—
615	C₂×C₄⋊C₄	—	2	1	no	—
616	C₂×C₄⋊C₄	—	2	1	no	—
617	C₂×C₄⋊C₄	—	2	1	no	—
618	C₂×C₄⋊C₄	—	2	1	no	—
619	C₂×C₄⋊C₄	—	2	1	no	—
620	C₂×C₄⋊C₄	—	2	1	no	—
621	C₂×C₄⋊C₄	—	2	1	no	—
622	C₂×C₄⋊C₄	—	2	1	no	—
623	C₂×C₄⋊C₄	—	2	1	no	—
624	C₂×C₄⋊C₄	—	2	1	no	—
625	C₂×C₄⋊C₄	—	2	1	no	—
626	C₂×C₄⋊C₄	—	2	1	no	—
627	C₂×C₄⋊C₄	—	2	1	no	—
628	C₂×C₄⋊C₄	—	2	1	no	—
629	C₂×C₄⋊C₄	—	2	1	no	—
630	C₂×C₄⋊C₄	—	2	1	no	—
631	C₂×C₄⋊C₄	—	2	1	no	—
632	C₂×C₄⋊C₄	—	2	1	no	—
633	C₂×C₄⋊C₄	—	2	1	no	—
634	C₂×C₄⋊C₄	—	4	1	no	—
635	C₂×C₄⋊C₄	—	4	1	no	—
636	C₂×C₄⋊C₄	—	4	1	no	—
637	C₂×C₄⋊C₄	—	4	1	no	—
638	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
639	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
640	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
641	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
642	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
643	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
644	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
645	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
646	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
647	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
648	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
649	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
650	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
651	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
652	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
653	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
654	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
655	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
656	C₂×C₄⋊C₄	C₂⁴	1	1	yes	characteristic
657	C₂×C₂²⋊C₄	—	2	1	no	—
658	C₂×C₂²⋊C₄	—	2	1	no	—
659	C₂×C₂²⋊C₄	—	2	1	no	—
660	C₂×C₂²⋊C₄	—	2	1	no	—
661	C₂×C₂²⋊C₄	—	2	1	no	—
662	C₂×C₂²⋊C₄	—	2	1	no	—
663	C₂×C₂²⋊C₄	—	2	1	no	—
664	C₂×C₂²⋊C₄	—	2	1	no	—
665	C₂×C₂²⋊C₄	—	2	1	no	—
666	C₂×C₂²⋊C₄	—	2	1	no	—
667	C₂×C₂²⋊C₄	—	2	1	no	—
668	C₂×C₂²⋊C₄	—	2	1	no	—
669	C₂×C₂²⋊C₄	—	2	1	no	—
670	C₂×C₂²⋊C₄	—	2	1	no	—
671	C₂×C₂²⋊C₄	—	2	1	no	—
672	C₂×C₂²⋊C₄	—	2	1	no	—
673	C₂×C₂²⋊C₄	—	2	1	no	—
674	C₂×C₂²⋊C₄	—	2	1	no	—
675	C₂×C₂²⋊C₄	—	2	1	no	—
676	C₂×C₂²⋊C₄	—	2	1	no	—
677	C₂×C₂²⋊C₄	—	2	1	no	—
678	C₂×C₂²⋊C₄	—	2	1	no	—
679	C₂×C₂²⋊C₄	—	2	1	no	—
680	C₂×C₂²⋊C₄	—	2	1	no	—
681	C₂×C₂²⋊C₄	—	2	1	no	—
682	C₂×C₂²⋊C₄	—	2	1	no	—
683	C₂×C₂²⋊C₄	—	2	1	no	—
684	C₂×C₂²⋊C₄	—	2	1	no	—
685	C₂×C₂²⋊C₄	—	4	4	no	—
686	C₂×C₂²⋊C₄	—	8	2	no	—
687	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
688	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
689	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
690	C₂×C₂²⋊C₄	C₂×D₄	1	1	yes	characteristic
691	C₂×C₄²	—	2	1	no	—
692	C₂×C₄²	—	2	1	no	—
693	C₂×C₄²	—	2	1	no	—
694	C₂×C₄²	—	2	1	no	—
695	C₂×C₄²	—	2	1	no	—
696	C₂×C₄²	—	2	1	no	—
697	C₂×C₄²	—	2	1	no	—
698	C₂×C₄²	—	2	1	no	—
699	C₂×C₄²	—	4	1	no	—
700	C₂×C₄²	—	4	1	no	—
701	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
702	C₂×C₄²	C₂×D₄	1	1	yes	characteristic
703	C₂×C₄²	C₂⁴	1	1	yes	characteristic
704	C₂×C₄²	C₂⁴	1	1	yes	characteristic
705	C₂×C₄²	C₂⁴	1	1	yes	characteristic
706	C₂×C₄²	C₂⁴	1	1	yes	characteristic
707	C₂×C₄²	C₂⁴	1	1	yes	characteristic
708	C₂×C₄²	C₂⁴	1	1	yes	characteristic
709	#107	—	2	2	no	—
710	#107	—	2	2	no	—
711	#107	—	4	1	no	—
712	#107	—	4	1	no	—
713	#107	—	4	1	no	—
714	#107	—	4	1	no	—
715	#106	—	4	1	no	—
716	#106	—	4	1	no	—
717	C₄⋊C₈	—	2	2	no	—
718	C₄⋊C₈	—	2	2	no	—
719	C₄⋊C₈	—	2	2	no	—
720	C₄⋊C₈	—	2	2	no	—
721	C₄⋊C₈	—	4	1	no	—
722	C₄⋊C₈	—	4	1	no	—
723	#103	—	2	2	no	—
724	#103	—	2	2	no	—
725	#103	—	2	2	no	—
726	#103	—	2	2	no	—
727	#103	—	2	2	no	—
728	#103	—	2	2	no	—
729	#103	—	2	2	no	—
730	#103	—	2	2	no	—
731	#103	—	2	2	no	—
732	#103	—	2	2	no	—
733	#103	—	2	2	no	—
734	#103	—	2	2	no	—
735	#103	—	4	1	no	—
736	#103	—	4	1	no	—
737	#103	—	4	1	no	—
738	#103	—	4	1	no	—
739	#103	—	4	1	no	—
740	#103	—	4	1	no	—
741	#103	—	4	1	no	—
742	#103	—	4	1	no	—
743	#102	—	2	2	no	—
744	#102	—	2	2	no	—
745	#102	—	4	1	no	—
746	#102	—	4	1	no	—
747	#102	—	4	1	no	—
748	#102	—	4	1	no	—
749	#102	—	4	1	no	—
750	#102	—	4	1	no	—
751	#102	—	4	1	no	—
752	#102	—	4	1	no	—
753	#102	—	4	1	no	—
754	#102	—	4	1	no	—
755	C₂²⋊C₈	—	2	2	no	—
756	C₂²⋊C₈	—	2	2	no	—
757	#97	—	2	2	no	—
758	#97	—	2	2	no	—
759	#97	—	2	2	no	—
760	#97	—	4	1	no	—
761	#97	—	4	1	no	—
762	#97	—	4	1	no	—
763	C₄×C₈	—	2	2	no	—
764	C₄×C₈	—	4	1	no	—
765	#95	—	2	1	no	—
766	#95	—	2	1	no	—
767	#95	—	2	1	no	—
768	#95	—	2	1	no	—
769	#95	—	2	1	no	—
770	#95	—	2	1	no	—
771	#95	—	2	1	no	—
772	#95	—	2	1	no	—
773	#95	—	2	1	no	—
774	#95	—	2	1	no	—
775	#95	—	2	1	no	—
776	#95	—	2	1	no	—
777	#95	—	2	1	no	—
778	#95	—	2	1	no	—
779	#95	—	2	1	no	—
780	#95	—	2	1	no	—
781	#95	—	2	1	no	—
782	#95	—	2	1	no	—
783	#95	—	2	1	no	—
784	#95	—	2	1	no	—
785	#95	—	2	1	no	—
786	#95	—	2	1	no	—
787	#95	—	2	1	no	—
788	#95	—	2	1	no	—
789	#95	—	2	1	no	—
790	#95	—	2	1	no	—
791	#95	—	2	1	no	—
792	#95	—	2	1	no	—
793	#95	—	2	1	no	—
794	#95	—	2	1	no	—
795	#95	—	2	1	no	—
796	#95	—	2	1	no	—
797	#95	—	2	1	no	—
798	#95	—	2	1	no	—
799	#95	—	2	1	no	—
800	#95	—	2	1	no	—
801	#95	—	2	1	no	—
802	#95	—	2	1	no	—
803	#95	—	2	1	no	—
804	#95	—	2	1	no	—
805	#95	C₂×D₄	1	1	yes	characteristic
806	#95	C₂×D₄	1	1	yes	characteristic
807	#95	C₂×D₄	1	1	yes	characteristic
808	#95	C₂×D₄	1	1	yes	characteristic
809	#95	C₂×D₄	1	1	yes	characteristic
810	#95	C₂×D₄	1	1	yes	characteristic
811	#95	C₂×D₄	1	1	yes	characteristic
812	#95	C₂×D₄	1	1	yes	characteristic
813	#95	C₂×D₄	1	1	yes	characteristic
814	#95	C₂×D₄	1	1	yes	characteristic
815	C₂⁴	—	2	1	no	—
816	C₂⁴	—	2	1	no	—
817	C₂⁴	—	4	2	no	—
818	C₂⁴	—	4	2	no	—
819	C₂⁴	—	4	2	no	—
820	C₂⁴	—	8	1	no	—
821	C₂⁴	—	8	1	no	—
822	C₂⁴	—	8	1	no	—
823	C₂⁴	—	8	1	no	—
824	C₂⁴	C₂²×D₄	1	1	yes	characteristic
825	C₂×Q₈	—	2	4	no	—
826	C₂×Q₈	—	2	1	no	—
827	C₂×Q₈	—	2	1	no	—
828	C₂×Q₈	—	2	1	no	—
829	C₂×Q₈	—	2	1	no	—
830	C₂×Q₈	—	2	1	no	—
831	C₂×Q₈	—	2	1	no	—
832	C₂×Q₈	—	2	1	no	—
833	C₂×Q₈	—	2	1	no	—
834	C₂×Q₈	—	2	1	no	—
835	C₂×Q₈	—	2	1	no	—
836	C₂×Q₈	—	2	1	no	—
837	C₂×Q₈	—	2	1	no	—
838	C₂×Q₈	—	2	1	no	—
839	C₂×Q₈	—	2	1	no	—
840	C₂×Q₈	—	2	1	no	—
841	C₂×Q₈	—	2	1	no	—
842	C₂×Q₈	—	2	1	no	—
843	C₂×Q₈	—	2	1	no	—
844	C₂×Q₈	—	2	1	no	—
845	C₂×Q₈	—	2	1	no	—
846	C₂×Q₈	—	2	1	no	—
847	C₂×Q₈	—	2	1	no	—
848	C₂×Q₈	—	4	1	no	—
849	C₂×Q₈	—	4	1	no	—
850	C₂×Q₈	—	4	1	no	—
851	C₂×Q₈	—	4	2	no	—
852	C₂×Q₈	—	4	4	no	—
853	C₂×Q₈	—	4	4	no	—
854	C₂×Q₈	—	8	1	no	—
855	C₂×Q₈	—	8	1	no	—
856	C₂×Q₈	—	8	1	no	—
857	C₂×Q₈	—	8	1	no	—
858	C₂×Q₈	—	8	2	no	—
859	C₂×Q₈	—	8	2	no	—
860	C₂×Q₈	C₂×#41	1	2	yes	—
861	C₂×Q₈	C₂×#41	1	2	yes	—
862	C₂×D₄	—	2	1	no	—
863	C₂×D₄	—	2	1	no	—
864	C₂×D₄	—	2	1	no	—
865	C₂×D₄	—	2	1	no	—
866	C₂×D₄	—	2	1	no	—
867	C₂×D₄	—	2	1	no	—
868	C₂×D₄	—	2	1	no	—
869	C₂×D₄	—	2	1	no	—
870	C₂×D₄	—	2	1	no	—
871	C₂×D₄	—	2	1	no	—
872	C₂×D₄	—	2	1	no	—
873	C₂×D₄	—	2	1	no	—
874	C₂×D₄	—	4	4	no	—
875	C₂×D₄	—	4	4	no	—
876	C₂×D₄	—	4	2	no	—
877	C₂×D₄	—	8	2	no	—
878	C₂×D₄	—	8	2	no	—
879	C₂×D₄	—	8	1	no	—
880	C₂×D₄	—	8	1	no	—
881	C₂²×C₄	—	2	1	no	—
882	C₂²×C₄	—	2	1	no	—
883	C₂²×C₄	—	2	1	no	—
884	C₂²×C₄	—	2	1	no	—
885	C₂²×C₄	—	2	1	no	—
886	C₂²×C₄	—	2	1	no	—
887	C₂²×C₄	—	2	4	no	—
888	C₂²×C₄	—	2	2	no	—
889	C₂²×C₄	—	2	2	no	—
890	C₂²×C₄	—	2	1	no	—
891	C₂²×C₄	—	2	1	no	—
892	C₂²×C₄	—	2	1	no	—
893	C₂²×C₄	—	2	1	no	—
894	C₂²×C₄	—	2	1	no	—
895	C₂²×C₄	—	2	1	no	—
896	C₂²×C₄	—	2	1	no	—
897	C₂²×C₄	—	2	1	no	—
898	C₂²×C₄	—	2	1	no	—
899	C₂²×C₄	—	2	1	no	—
900	C₂²×C₄	—	2	1	no	—
901	C₂²×C₄	—	2	1	no	—
902	C₂²×C₄	—	4	1	no	—
903	C₂²×C₄	—	4	1	no	—
904	C₂²×C₄	—	4	1	no	—
905	C₂²×C₄	—	4	1	no	—
906	C₂²×C₄	—	4	2	no	—
907	C₂²×C₄	—	4	2	no	—
908	C₂²×C₄	—	8	1	no	—
909	C₂²×C₄	—	8	1	no	—
910	C₂²×C₄	—	8	1	no	—
911	C₂²×C₄	—	8	1	no	—
912	C₂²×C₄	—	8	1	no	—
913	C₂²×C₄	—	8	1	no	—
914	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
915	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
916	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
917	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
918	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
919	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
920	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
921	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
922	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
923	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
924	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
925	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
926	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
927	C₂²×C₄	C₂×#41	1	2	yes	—
928	C₂²×C₄	2₋¹⁺⁴	1	2	yes	—
929	C₂²×C₄	C₂⁵	1	1	yes	characteristic
930	Q₁₆	—	4	4	no	—
931	Q₁₆	—	4	4	no	—
932	Q₁₆	—	8	2	no	—
933	Q₁₆	—	8	2	no	—
934	SD₁₆	—	4	4	no	—
935	SD₁₆	—	4	4	no	—
936	SD₁₆	—	4	4	no	—
937	SD₁₆	—	4	4	no	—
938	C₂×C₈	—	2	8	no	—
939	C₂×C₈	—	2	1	no	—
940	C₂×C₈	—	2	1	no	—
941	C₂×C₈	—	2	1	no	—
942	C₂×C₈	—	2	1	no	—
943	C₂×C₈	—	2	1	no	—
944	C₂×C₈	—	2	1	no	—
945	C₂×C₈	—	2	1	no	—
946	C₂×C₈	—	2	1	no	—
947	C₂×C₈	—	2	1	no	—
948	C₂×C₈	—	2	1	no	—
949	C₂×C₈	—	2	1	no	—
950	C₂×C₈	—	2	1	no	—
951	C₂×C₈	—	2	1	no	—
952	C₂×C₈	—	2	1	no	—
953	C₂×C₈	—	2	1	no	—
954	C₂×C₈	—	2	1	no	—
955	C₂×C₈	—	2	1	no	—
956	C₂×C₈	—	2	1	no	—
957	C₂×C₈	—	2	1	no	—
958	C₂×C₈	—	2	1	no	—
959	C₂×C₈	—	2	1	no	—
960	C₂×C₈	—	4	4	no	—
961	C₂×C₈	H(5,𝔽₂)	1	2	yes	—
962	C₂×C₈	H(5,𝔽₂)	1	2	yes	—
963	C₂×C₈	H(5,𝔽₂)	1	2	yes	—
964	C₄⋊C₄	—	2	1	no	—
965	C₄⋊C₄	—	2	1	no	—
966	C₄⋊C₄	—	2	1	no	—
967	C₄⋊C₄	—	2	1	no	—
968	C₄⋊C₄	—	2	1	no	—
969	C₄⋊C₄	—	2	1	no	—
970	C₄⋊C₄	—	2	1	no	—
971	C₄⋊C₄	—	2	1	no	—
972	C₄⋊C₄	—	2	1	no	—
973	C₄⋊C₄	—	2	1	no	—
974	C₄⋊C₄	—	2	1	no	—
975	C₄⋊C₄	—	2	1	no	—
976	C₄⋊C₄	—	2	1	no	—
977	C₄⋊C₄	—	2	1	no	—
978	C₄⋊C₄	—	2	1	no	—
979	C₄⋊C₄	—	2	1	no	—
980	C₄⋊C₄	—	2	1	no	—
981	C₄⋊C₄	—	2	1	no	—
982	C₄⋊C₄	—	2	1	no	—
983	C₄⋊C₄	—	2	1	no	—
984	C₄⋊C₄	—	4	1	no	—
985	C₄⋊C₄	—	4	1	no	—
986	C₄⋊C₄	—	4	1	no	—
987	C₄⋊C₄	—	4	1	no	—
988	C₄⋊C₄	—	4	1	no	—
989	C₄⋊C₄	—	4	1	no	—
990	C₄⋊C₄	—	4	1	no	—
991	C₄⋊C₄	—	4	1	no	—
992	C₄⋊C₄	—	4	1	no	—
993	C₄⋊C₄	—	4	2	no	—
994	C₄⋊C₄	—	4	2	no	—
995	C₄⋊C₄	—	4	2	no	—
996	C₄⋊C₄	—	4	2	no	—
997	C₄⋊C₄	—	4	2	no	—
998	C₄⋊C₄	—	4	2	no	—
999	C₄⋊C₄	—	4	2	no	—
1000	C₄⋊C₄	—	8	1	no	—
1001	C₄⋊C₄	—	8	1	no	—
1002	C₄⋊C₄	—	8	1	no	—
1003	C₄⋊C₄	—	8	1	no	—
1004	C₄⋊C₄	—	8	1	no	—
1005	C₄⋊C₄	—	8	1	no	—
1006	C₄⋊C₄	—	8	1	no	—
1007	C₄⋊C₄	—	8	1	no	—
1008	C₄⋊C₄	—	8	1	no	—
1009	C₄⋊C₄	—	8	1	no	—
1010	C₄⋊C₄	—	8	1	no	—
1011	C₄⋊C₄	—	8	1	no	—
1012	C₄⋊C₄	—	8	1	no	—
1013	C₄⋊C₄	—	8	1	no	—
1014	C₄⋊C₄	—	8	1	no	—
1015	C₄⋊C₄	—	8	1	no	—
1016	C₄⋊C₄	—	8	1	no	—
1017	C₄⋊C₄	—	8	1	no	—
1018	C₄⋊C₄	—	8	1	no	—
1019	C₄⋊C₄	—	8	1	no	—
1020	C₄⋊C₄	—	8	1	no	—
1021	C₄⋊C₄	—	8	1	no	—
1022	C₂²⋊C₄	—	2	2	no	—
1023	C₂²⋊C₄	—	2	2	no	—
1024	C₂²⋊C₄	—	2	2	no	—
1025	C₂²⋊C₄	—	2	2	no	—
1026	C₂²⋊C₄	—	4	2	no	—
1027	C₂²⋊C₄	—	4	2	no	—
1028	C₂²⋊C₄	—	4	2	no	—
1029	C₂²⋊C₄	—	4	2	no	—
1030	C₂²⋊C₄	—	4	2	no	—
1031	C₂²⋊C₄	—	4	2	no	—
1032	C₂²⋊C₄	—	4	2	no	—
1033	C₂²⋊C₄	—	4	2	no	—
1034	C₂²⋊C₄	—	4	2	no	—
1035	C₂²⋊C₄	—	4	2	no	—
1036	C₂²⋊C₄	—	8	1	no	—
1037	C₂²⋊C₄	—	8	1	no	—
1038	C₂²⋊C₄	—	8	1	no	—
1039	C₂²⋊C₄	—	8	1	no	—
1040	C₂²⋊C₄	—	8	1	no	—
1041	C₂²⋊C₄	—	8	1	no	—
1042	C₂²⋊C₄	—	8	1	no	—
1043	C₂²⋊C₄	—	8	1	no	—
1044	C₂²⋊C₄	—	8	1	no	—
1045	C₂²⋊C₄	—	8	1	no	—
1046	C₂²⋊C₄	—	8	1	no	—
1047	C₂²⋊C₄	—	8	1	no	—
1048	C₂²⋊C₄	—	8	1	no	—
1049	C₂²⋊C₄	—	8	1	no	—
1050	C₂²⋊C₄	—	8	1	no	—
1051	C₂²⋊C₄	—	8	1	no	—
1052	C₂²⋊C₄	—	8	1	no	—
1053	C₂²⋊C₄	—	8	1	no	—
1054	C₄²	—	2	1	no	—
1055	C₄²	—	2	1	no	—
1056	C₄²	—	2	1	no	—
1057	C₄²	—	2	1	no	—
1058	C₄²	—	2	1	no	—
1059	C₄²	—	2	1	no	—
1060	C₄²	—	2	1	no	—
1061	C₄²	—	2	1	no	—
1062	C₄²	—	2	1	no	—
1063	C₄²	—	2	1	no	—
1064	C₄²	—	2	1	no	—
1065	C₄²	—	2	1	no	—
1066	C₄²	—	4	1	no	—
1067	C₄²	—	4	1	no	—
1068	C₄²	—	8	1	no	—
1069	C₄²	—	8	1	no	—
1070	C₄²	—	8	1	no	—
1071	C₄²	—	8	1	no	—
1072	C₄²	—	8	1	no	—
1073	C₄²	—	8	1	no	—
1074	C₄²	—	8	1	no	—
1075	C₄²	—	8	1	no	—
1076	C₂³	—	2	1	no	—
1077	C₂³	—	2	1	no	—
1078	C₂³	—	2	1	no	—
1079	C₂³	—	2	1	no	—
1080	C₂³	—	4	1	no	—
1081	C₂³	—	4	1	no	—
1082	C₂³	—	4	1	no	—
1083	C₂³	—	4	1	no	—
1084	C₂³	—	4	1	no	—
1085	C₂³	—	4	1	no	—
1086	C₂³	—	4	1	no	—
1087	C₂³	—	4	1	no	—
1088	C₂³	—	4	1	no	—
1089	C₂³	—	4	1	no	—
1090	C₂³	—	4	1	no	—
1091	C₂³	—	4	1	no	—
1092	C₂³	—	4	1	no	—
1093	C₂³	—	4	1	no	—
1094	C₂³	—	8	4	no	—
1095	C₂³	—	8	4	no	—
1096	C₂³	—	8	4	no	—
1097	C₂³	—	16	2	no	—
1098	C₂³	—	16	2	no	—
1099	C₂³	—	16	2	no	—
1100	C₂³	—	16	2	no	—
1101	C₂³	#548	1	2	yes	—
1102	C₂³	#575	1	2	yes	—
1103	C₂³	#578	1	2	yes	—
1104	C₂³	C₂³×D₄	1	1	yes	characteristic
1105	Q₈	—	2	2	no	—
1106	Q₈	—	2	2	no	—
1107	Q₈	—	2	2	no	—
1108	Q₈	—	2	2	no	—
1109	Q₈	—	4	1	no	—
1110	Q₈	—	4	1	no	—
1111	Q₈	—	4	1	no	—
1112	Q₈	—	4	1	no	—
1113	Q₈	—	4	1	no	—
1114	Q₈	—	4	1	no	—
1115	Q₈	—	4	1	no	—
1116	Q₈	—	4	1	no	—
1117	Q₈	—	4	1	no	—
1118	Q₈	—	4	1	no	—
1119	Q₈	—	4	1	no	—
1120	Q₈	—	4	1	no	—
1121	Q₈	—	8	4	no	—
1122	Q₈	—	8	2	no	—
1123	Q₈	—	16	2	no	—
1124	D₄	—	4	1	no	—
1125	D₄	—	4	1	no	—
1126	D₄	—	4	1	no	—
1127	D₄	—	4	1	no	—
1128	D₄	—	4	1	no	—
1129	D₄	—	4	1	no	—
1130	D₄	—	4	1	no	—
1131	D₄	—	4	1	no	—
1132	D₄	—	8	4	no	—
1133	C₂×C₄	—	2	1	no	—
1134	C₂×C₄	—	2	1	no	—
1135	C₂×C₄	—	2	2	no	—
1136	C₂×C₄	—	2	2	no	—
1137	C₂×C₄	—	2	2	no	—
1138	C₂×C₄	—	2	2	no	—
1139	C₂×C₄	—	2	1	no	—
1140	C₂×C₄	—	2	1	no	—
1141	C₂×C₄	—	2	1	no	—
1142	C₂×C₄	—	2	1	no	—
1143	C₂×C₄	—	2	1	no	—
1144	C₂×C₄	—	2	1	no	—
1145	C₂×C₄	—	2	1	no	—
1146	C₂×C₄	—	2	1	no	—
1147	C₂×C₄	—	2	1	no	—
1148	C₂×C₄	—	2	1	no	—
1149	C₂×C₄	—	2	1	no	—
1150	C₂×C₄	—	2	1	no	—
1151	C₂×C₄	—	2	2	no	—
1152	C₂×C₄	—	2	2	no	—
1153	C₂×C₄	—	2	1	no	—
1154	C₂×C₄	—	2	1	no	—
1155	C₂×C₄	—	2	1	no	—
1156	C₂×C₄	—	2	1	no	—
1157	C₂×C₄	—	2	1	no	—
1158	C₂×C₄	—	2	1	no	—
1159	C₂×C₄	—	2	1	no	—
1160	C₂×C₄	—	2	1	no	—
1161	C₂×C₄	—	2	1	no	—
1162	C₂×C₄	—	2	1	no	—
1163	C₂×C₄	—	2	1	no	—
1164	C₂×C₄	—	2	1	no	—
1165	C₂×C₄	—	2	1	no	—
1166	C₂×C₄	—	2	1	no	—
1167	C₂×C₄	—	2	1	no	—
1168	C₂×C₄	—	2	1	no	—
1169	C₂×C₄	—	2	1	no	—
1170	C₂×C₄	—	2	1	no	—
1171	C₂×C₄	—	2	1	no	—
1172	C₂×C₄	—	2	1	no	—
1173	C₂×C₄	—	2	1	no	—
1174	C₂×C₄	—	2	1	no	—
1175	C₂×C₄	—	2	1	no	—
1176	C₂×C₄	—	2	1	no	—
1177	C₂×C₄	—	4	1	no	—
1178	C₂×C₄	—	4	1	no	—
1179	C₂×C₄	—	4	1	no	—
1180	C₂×C₄	—	4	1	no	—
1181	C₂×C₄	—	4	1	no	—
1182	C₂×C₄	—	4	1	no	—
1183	C₂×C₄	—	4	1	no	—
1184	C₂×C₄	—	4	1	no	—
1185	C₂×C₄	—	4	1	no	—
1186	C₂×C₄	—	4	1	no	—
1187	C₂×C₄	—	4	1	no	—
1188	C₂×C₄	—	4	1	no	—
1189	C₂×C₄	—	4	1	no	—
1190	C₂×C₄	—	4	1	no	—
1191	C₂×C₄	—	4	1	no	—
1192	C₂×C₄	—	4	1	no	—
1193	C₂×C₄	—	4	1	no	—
1194	C₂×C₄	—	4	1	no	—
1195	C₂×C₄	—	4	1	no	—
1196	C₂×C₄	—	4	1	no	—
1197	C₂×C₄	—	4	1	no	—
1198	C₂×C₄	—	4	1	no	—
1199	C₂×C₄	—	4	1	no	—
1200	C₂×C₄	—	4	1	no	—
1201	C₂×C₄	—	4	1	no	—
1202	C₂×C₄	—	4	1	no	—
1203	C₂×C₄	—	4	1	no	—
1204	C₂×C₄	—	4	1	no	—
1205	C₂×C₄	—	4	1	no	—
1206	C₂×C₄	—	4	1	no	—
1207	C₂×C₄	—	4	1	no	—
1208	C₂×C₄	—	4	1	no	—
1209	C₂×C₄	—	4	1	no	—
1210	C₂×C₄	—	4	1	no	—
1211	C₂×C₄	—	4	1	no	—
1212	C₂×C₄	—	4	1	no	—
1213	C₂×C₄	—	4	1	no	—
1214	C₂×C₄	—	4	1	no	—
1215	C₂×C₄	—	4	1	no	—
1216	C₂×C₄	—	4	1	no	—
1217	C₂×C₄	—	8	2	no	—
1218	C₂×C₄	—	8	2	no	—
1219	C₂×C₄	—	8	4	no	—
1220	C₂×C₄	—	16	2	no	—
1221	C₂×C₄	—	16	2	no	—
1222	C₂×C₄	#548	1	2	yes	—
1223	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1224	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1225	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1226	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1227	C₂×C₄	C₂×2₋¹⁺⁴	1	1	yes	characteristic
1228	C₂×C₄	#585	1	1	yes	characteristic
1229	C₈	—	2	2	no	—
1230	C₈	—	2	2	no	—
1231	C₈	—	2	2	no	—
1232	C₈	—	4	1	no	—
1233	C₈	—	4	1	no	—
1234	C₈	—	4	1	no	—
1235	C₈	—	4	1	no	—
1236	C₈	—	4	1	no	—
1237	C₂²	—	2	2	no	—
1238	C₂²	—	2	2	no	—
1239	C₂²	—	2	2	no	—
1240	C₂²	—	2	2	no	—
1241	C₂²	—	2	2	no	—
1242	C₂²	—	2	2	no	—
1243	C₂²	—	8	1	no	—
1244	C₂²	—	8	1	no	—
1245	C₂²	—	8	1	no	—
1246	C₂²	—	8	1	no	—
1247	C₂²	—	8	1	no	—
1248	C₂²	—	8	1	no	—
1249	C₂²	—	8	1	no	—
1250	C₂²	—	8	1	no	—
1251	C₂²	—	8	1	no	—
1252	C₂²	—	8	1	no	—
1253	C₂²	—	8	1	no	—
1254	C₂²	—	8	1	no	—
1255	C₂²	—	8	1	no	—
1256	C₂²	—	8	1	no	—
1257	C₂²	—	16	8	no	—
1258	C₂²	#3377	1	4	yes	—
1259	C₂²	C₂×#548	1	1	yes	characteristic
1260	C₂²	#3496	1	1	yes	characteristic
1261	C₂²	#3498	1	1	yes	characteristic
1262	C₂²	C₂×#575	1	1	yes	characteristic
1263	C₂²	C₂×#578	1	1	yes	characteristic
1264	C₂²	#3585	1	1	yes	characteristic
1265	C₂²	#3586	1	1	yes	characteristic
1266	C₄	—	2	2	no	—
1267	C₄	—	4	1	no	—
1268	C₄	—	4	1	no	—
1269	C₄	—	4	1	no	—
1270	C₄	—	4	1	no	—
1271	C₄	—	4	1	no	—
1272	C₄	—	4	1	no	—
1273	C₄	—	4	1	no	—
1274	C₄	—	4	1	no	—
1275	C₄	—	4	1	no	—
1276	C₄	—	4	1	no	—
1277	C₄	—	4	2	no	—
1278	C₄	—	4	2	no	—
1279	C₄	—	4	1	no	—
1280	C₄	—	4	1	no	—
1281	C₄	—	8	1	no	—
1282	C₄	—	8	1	no	—
1283	C₄	—	8	1	no	—
1284	C₄	—	8	1	no	—
1285	C₄	—	8	1	no	—
1286	C₄	—	8	1	no	—
1287	C₄	—	8	1	no	—
1288	C₄	—	8	1	no	—
1289	C₄	—	8	1	no	—
1290	C₄	—	8	1	no	—
1291	C₄	—	8	1	no	—
1292	C₄	—	8	1	no	—
1293	C₄	#3459	1	1	yes	characteristic
1294	C₄	#3490	1	1	yes	characteristic
1295	C₄	#3536	1	1	yes	characteristic
1296	C₄	#3561	1	1	yes	characteristic
1297	C₂	—	2	4	no	—
1298	C₂	—	16	1	no	—
1299	C₂	—	16	1	no	—
1300	C₂	#39420	1	1	yes	characteristic
1301	C₂	C₂×#3377	1	1	yes	characteristic
1302	C₂	#61334	1	1	yes	characteristic
1303	C₂	#62297	1	1	yes	characteristic
1304	C₂	#62312	1	1	yes	characteristic
1305	C₂	#62449	1	1	yes	characteristic
1306	C₂	#62460	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂³	C₂³×D₄
commutator, Frattini, cosocle	C₂²×C₄	C₂⁵
prime radical	C₂³×D₄	C₂³
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂³ ◁ C₄×C₂²⋊Q₈ ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #39179	C₂	semidirect
3. #33053	C₂	semidirect
4. #32624	C₂	semidirect
5. #32618	C₂	semidirect
6. #32456	C₂	semidirect
7. #32453	C₂	semidirect
8. #31171	C₂	semidirect
9. #31169	C₂	semidirect
10. #30897	C₂	semidirect
11. #30897	C₂	semidirect
13. #29715	C₂	semidirect
14. #29094	C₂	semidirect
15. #29086	C₂	semidirect
16. #28424	C₂	semidirect
17. #28411	C₂	semidirect
20. #26839	C₂	semidirect
21. #26830	C₂	semidirect
22. #26344	C₂	semidirect
23. #26342	C₂	semidirect
24. #25307	C₂	semidirect
25. #25299	C₂	semidirect
28. #22871	C₂	semidirect
29. #22859	C₂	semidirect
30. #21599	C₂	semidirect
33. C₂×#491	C₂²	semidirect
36. C₂×#479	C₂²	semidirect
37. C₂×#477	C₂²	semidirect
44. C₂×#446	C₂²	semidirect
45. C₂×#441	C₂²	semidirect
46. C₂×C₄×Q₁₆	C₂²	semidirect
65. #2582	C₂²	semidirect
66. #2581	C₂²	semidirect
68. #2568	C₂²	semidirect
69. #2565	C₂²	semidirect
77. #2453	C₂²	semidirect
78. #2453	C₂²	semidirect
79. #2453	C₂²	semidirect
80. #2451	C₂²	semidirect
96. #2097	C₂²	semidirect
97. #2095	C₂²	semidirect
100. #2087	C₂²	semidirect
101. #2086	C₂²	semidirect
103. #2072	C₂²	semidirect
104. #2072	C₂²	semidirect
106. #2068	C₂²	semidirect
107. #2068	C₂²	semidirect
112. #2059	C₂²	semidirect
113. #2057	C₂²	semidirect
114. #2056	C₂²	semidirect
115. #2056	C₂²	semidirect
116. #2056	C₂²	semidirect
117. #2056	C₂²	semidirect
130. #2016	C₂²	semidirect
131. #2016	C₂²	semidirect
136. #1992	C₂²	semidirect
137. #1985	C₂²	semidirect
146. #1971	C₂²	semidirect
147. #1969	C₂²	semidirect
148. #1960	C₂²	semidirect
151. #1949	C₂²	semidirect
152. #1947	C₂²	semidirect
153. #1940	C₂²	semidirect
156. #1935	C₂²	semidirect
157. #1935	C₂²	semidirect
158. #1935	C₂²	semidirect
159. #1935	C₂²	semidirect
160. #1935	C₂²	semidirect
163. #1933	C₂²	semidirect
164. #1928	C₂²	semidirect
165. #1927	C₂²	semidirect
166. #1921	C₂²	semidirect
167. #1918	C₂²	semidirect
168. #1917	C₂²	semidirect
169. #1917	C₂²	semidirect
178. #1878	C₂²	semidirect
179. #1878	C₂²	semidirect
180. #1878	C₂²	semidirect
181. #1878	C₂²	semidirect
184. #1865	C₂²	semidirect
185. #1863	C₂²	semidirect
186. #1863	C₂²	semidirect
187. #1863	C₂²	semidirect
192. #1836	C₂²	semidirect
196. #1771	C₂²	semidirect
197. #1771	C₂²	semidirect
198. #1770	C₂²	semidirect
199. #1763	C₂²	semidirect
200. C₄×#103	C₂²	semidirect

Maximal subgroups

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

subgroup	index
#39511	2
#39179	2
#33053	2
#32624	2
#32618	2
#32456	2
#32453	2
#31171	2
#31169	2
#30897	2
#29956	2
#29715	2
#29094	2
#29086	2
#28424	2
#28411	2
#27262	2
#27256	2
#26839	2
#26830	2
#26344	2
#26342	2
#25307	2
#25299	2
#24357	2
#22871	2
#22859	2
#21599	2
C₂×#1973	2