Subgroups — #7157002

Order 512.

1744 conjugacy classes of subgroups.

The subgroup lattice has 1474 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#61410	C₂	1	1	yes	maximal, characteristic, complemented
2	#61107	C₂	1	1	yes	maximal, characteristic, complemented
3	#31421	C₂	1	1	yes	maximal, characteristic, complemented
4	#31420	C₂	1	1	yes	maximal, characteristic, complemented
5	#31416	C₂	1	1	yes	maximal, characteristic, complemented
6	#31414	C₂	1	1	yes	maximal, characteristic, complemented
7	#30442	C₂	1	1	yes	maximal, characteristic, complemented
8	#30442	C₂	1	1	yes	maximal, characteristic, complemented
9	#30439	C₂	1	1	yes	maximal, characteristic, complemented
10	#30438	C₂	1	1	yes	maximal, characteristic, complemented
11	#29270	C₂	1	1	yes	maximal, characteristic, complemented
12	#28182	C₂	1	1	yes	maximal, characteristic, complemented
13	#25802	C₂	1	1	yes	maximal, characteristic, complemented
14	#25798	C₂	1	1	yes	maximal, characteristic, complemented
15	#25446	C₂	1	1	yes	maximal, characteristic, complemented
16	#25431	C₂	1	1	yes	maximal, characteristic, complemented
17	#24987	C₂	1	1	yes	maximal, characteristic, complemented
18	#24985	C₂	1	1	yes	maximal, characteristic, complemented
19	#24474	C₂	1	1	yes	maximal, characteristic, complemented
20	#24472	C₂	1	1	yes	maximal, characteristic, complemented
21	#24410	C₂	1	1	yes	maximal, characteristic, complemented
22	#24409	C₂	1	1	yes	maximal, characteristic, complemented
23	#24001	C₂	1	1	yes	maximal, characteristic, complemented
24	#23998	C₂	1	1	yes	maximal, characteristic, complemented
25	#23992	C₂	1	1	yes	maximal, characteristic, complemented
26	#23990	C₂	1	1	yes	maximal, characteristic, complemented
27	#23833	C₂	1	1	yes	maximal, characteristic, complemented
28	#22462	C₂	1	1	yes	maximal, characteristic, complemented
29	#22456	C₂	1	1	yes	maximal, characteristic, complemented
30	#22284	C₂	1	1	yes	maximal, characteristic, complemented
31	#22284	C₂	1	1	yes	maximal, characteristic, complemented
32	#3586	C₂²	1	1	yes	characteristic
33	#3585	C₂²	1	1	yes	characteristic
34	#3584	C₂²	1	1	yes	characteristic
35	C₂×#577	C₂²	1	1	yes	characteristic
36	#3509	C₂²	1	1	yes	characteristic, complemented
37	#3508	C₂²	1	1	yes	characteristic, complemented
38	#3400	—	2	2	no	—
39	#3397	—	2	2	no	—
40	#3394	—	2	2	no	—
41	#3392	—	2	2	no	—
42	#3291	—	2	2	no	—
43	#3290	—	2	2	no	—
44	#3289	—	2	2	no	—
45	#3288	—	2	2	no	—
46	#3154	C₂²	1	1	yes	characteristic
47	#3154	C₂²	1	1	yes	characteristic
48	#3154	C₂²	1	1	yes	characteristic, complemented
49	C₂×#492	C₂²	1	1	yes	characteristic, complemented
50	#3069	C₂²	1	1	yes	characteristic
51	#3069	C₂²	1	1	yes	characteristic, complemented
52	#3068	C₂²	1	1	yes	characteristic
53	#3068	C₂²	1	1	yes	characteristic, complemented
54	#3067	C₂²	1	1	yes	characteristic
55	C₂×#471	C₂²	1	1	yes	characteristic
56	C₂×#471	C₂²	1	1	yes	characteristic, complemented
57	#3057	C₂²	1	1	yes	characteristic, complemented
58	#3043	C₂²	1	1	yes	characteristic, complemented
59	#3043	C₂²	1	1	yes	characteristic, complemented
60	#3043	C₂²	1	1	yes	characteristic, complemented
61	#3042	C₂²	1	1	yes	characteristic
62	#3042	C₂²	1	1	yes	characteristic, complemented
63	#3042	C₂²	1	1	yes	characteristic, complemented
64	#3039	C₂²	1	1	yes	characteristic, complemented
65	#3038	C₂²	1	1	yes	characteristic, complemented
66	#3028	C₂²	1	1	yes	characteristic
67	#3027	C₂²	1	1	yes	characteristic, complemented
68	#3022	C₂²	1	1	yes	characteristic
69	#3022	C₂²	1	1	yes	characteristic, complemented
70	#3021	C₂²	1	1	yes	characteristic
71	#3021	C₂²	1	1	yes	characteristic
72	#3020	C₂²	1	1	yes	characteristic
73	#3019	C₂²	1	1	yes	characteristic
74	C₂×#456	C₂²	1	1	yes	characteristic, complemented
75	C₂×#453	C₂²	1	1	yes	characteristic, complemented
76	#3010	C₂²	1	1	yes	characteristic, complemented
77	#3009	C₂²	1	1	yes	characteristic, complemented
78	#2960	C₂²	1	1	yes	characteristic, complemented
79	#2957	C₂²	1	1	yes	characteristic
80	#2957	C₂²	1	1	yes	characteristic, complemented
81	#2955	C₂²	1	1	yes	characteristic
82	#2949	C₂²	1	1	yes	characteristic, complemented
83	#2949	C₂²	1	1	yes	characteristic, complemented
84	#2949	C₂²	1	1	yes	characteristic, complemented
85	C₄×#135	C₂²	1	1	yes	characteristic, complemented
86	#2901	C₂²	1	1	yes	characteristic
87	#2901	C₂²	1	1	yes	characteristic, complemented
88	#2884	C₂²	1	1	yes	characteristic, complemented
89	#2883	C₂²	1	1	yes	characteristic, complemented
90	#2103	C₂²	1	1	yes	characteristic, complemented
91	#2102	C₂²	1	1	yes	characteristic, complemented
92	#2098	C₂²	1	1	yes	characteristic, complemented
93	#2098	C₂²	1	1	yes	characteristic, complemented
94	#2082	C₂²	1	1	yes	characteristic, complemented
95	#2082	C₂²	1	1	yes	characteristic, complemented
96	#2081	C₂²	1	1	yes	characteristic, complemented
97	#2081	C₂²	1	1	yes	characteristic, complemented
98	#2080	C₂²	1	1	yes	characteristic, complemented
99	#2080	C₂²	1	1	yes	characteristic, complemented
100	#2080	C₂²	1	1	yes	characteristic, complemented
101	#2080	C₂²	1	1	yes	characteristic, complemented
102	#2053	C₂²	1	1	yes	characteristic
103	#2053	C₂²	1	1	yes	characteristic, complemented
104	#2053	C₂²	1	1	yes	characteristic, complemented
105	#2050	C₂²	1	1	yes	characteristic
106	#2049	C₂²	1	1	yes	characteristic, complemented
107	#2049	C₂²	1	1	yes	characteristic, complemented
108	#2048	C₂²	1	1	yes	characteristic
109	#2048	C₂²	1	1	yes	characteristic, complemented
110	#2046	C₂²	1	1	yes	characteristic, complemented
111	#2046	C₂²	1	1	yes	characteristic, complemented
112	#2031	C₂²	1	1	yes	characteristic, complemented
113	#2031	C₂²	1	1	yes	characteristic, complemented
114	#2031	C₂²	1	1	yes	characteristic, complemented
115	#2031	C₂²	1	1	yes	characteristic, complemented
116	#2019	C₂²	1	1	yes	characteristic, complemented
117	#2019	C₂²	1	1	yes	characteristic, complemented
118	#2009	C₂²	1	1	yes	characteristic
119	#2009	C₂²	1	1	yes	characteristic
120	#2009	C₂²	1	1	yes	characteristic, complemented
121	#2009	C₂²	1	1	yes	characteristic, complemented
122	#2008	C₂²	1	1	yes	characteristic
123	#2008	C₂²	1	1	yes	characteristic
124	#2008	C₂²	1	1	yes	characteristic, complemented
125	#2008	C₂²	1	1	yes	characteristic, complemented
126	#2005	C₂²	1	1	yes	characteristic, complemented
127	#2005	C₂²	1	1	yes	characteristic, complemented
128	#2002	C₂²	1	1	yes	characteristic
129	#2002	C₂²	1	1	yes	characteristic, complemented
130	#1977	C₂²	1	1	yes	characteristic, complemented
131	#1977	C₂²	1	1	yes	characteristic, complemented
132	#1976	C₂²	1	1	yes	characteristic
133	#1976	C₂²	1	1	yes	characteristic
134	#1976	C₂²	1	1	yes	characteristic, complemented
135	#1974	C₂²	1	1	yes	characteristic
136	#1953	C₂²	1	1	yes	characteristic, complemented
137	#1945	C₂²	1	1	yes	characteristic, complemented
138	#1915	C₂²	1	1	yes	characteristic, complemented
139	#1914	C₂²	1	1	yes	characteristic, complemented
140	#1912	C₂²	1	1	yes	characteristic, complemented
141	#1912	C₂²	1	1	yes	characteristic, complemented
142	#1912	C₂²	1	1	yes	characteristic, complemented
143	#1911	C₂²	1	1	yes	characteristic, complemented
144	#1911	C₂²	1	1	yes	characteristic, complemented
145	#1911	C₂²	1	1	yes	characteristic, complemented
146	#1910	C₂²	1	1	yes	characteristic, complemented
147	#1910	C₂²	1	1	yes	characteristic, complemented
148	#1909	C₂²	1	1	yes	characteristic, complemented
149	#1909	C₂²	1	1	yes	characteristic, complemented
150	#1906	C₂²	1	1	yes	characteristic
151	#1906	C₂²	1	1	yes	characteristic, complemented
152	#1906	C₂²	1	1	yes	characteristic, complemented
153	#1906	C₂²	1	1	yes	characteristic, complemented
154	#1905	C₂²	1	1	yes	characteristic, complemented
155	#1905	C₂²	1	1	yes	characteristic, complemented
156	#1905	C₂²	1	1	yes	characteristic, complemented
157	#1905	C₂²	1	1	yes	characteristic, complemented
158	#1905	C₂²	1	1	yes	characteristic, complemented
159	#1905	C₂²	1	1	yes	characteristic, complemented
160	#1904	C₂²	1	1	yes	characteristic
161	#1904	C₂²	1	1	yes	characteristic, complemented
162	#1904	C₂²	1	1	yes	characteristic, complemented
163	#1904	C₂²	1	1	yes	characteristic, complemented
164	#1904	C₂²	1	1	yes	characteristic, complemented
165	#1904	C₂²	1	1	yes	characteristic, complemented
166	#1903	C₂²	1	1	yes	characteristic, complemented
167	#1903	C₂²	1	1	yes	characteristic, complemented
168	#1902	C₂²	1	1	yes	characteristic, complemented
169	#1902	C₂²	1	1	yes	characteristic, complemented
170	#1887	C₂²	1	1	yes	characteristic, complemented
171	#1886	C₂²	1	1	yes	characteristic, complemented
172	#1881	C₂²	1	1	yes	characteristic
173	#1881	C₂²	1	1	yes	characteristic, complemented
174	#1868	C₂²	1	1	yes	characteristic, complemented
175	#1868	C₂²	1	1	yes	characteristic, complemented
176	#1861	C₂²	1	1	yes	characteristic, complemented
177	#1861	C₂²	1	1	yes	characteristic, complemented
178	#1833	C₂²	1	1	yes	characteristic, complemented
179	#1833	C₂²	1	1	yes	characteristic, complemented
180	#1830	C₂²	1	1	yes	characteristic, complemented
181	#1829	C₂²	1	1	yes	characteristic, complemented
182	#1827	C₂²	1	1	yes	characteristic, complemented
183	#1827	C₂²	1	1	yes	characteristic, complemented
184	#1814	C₂²	1	1	yes	characteristic, complemented
185	#1812	C₂²	1	1	yes	characteristic, complemented
186	#1796	C₂²	1	1	yes	characteristic, complemented
187	#1795	C₂²	1	1	yes	characteristic, complemented
188	#1794	C₂²	1	1	yes	characteristic
189	#1794	C₂²	1	1	yes	characteristic, complemented
190	#1764	C₂²	1	1	yes	characteristic, complemented
191	#1764	C₂²	1	1	yes	characteristic, complemented
192	#1757	C₂²	1	1	yes	characteristic, complemented
193	#1757	C₂²	1	1	yes	characteristic, complemented
194	#1747	C₂²	1	1	yes	characteristic, complemented
195	#585	C₂³	1	1	yes	characteristic
196	#585	C₂³	1	1	yes	characteristic
197	C₂×2₋¹⁺⁴	C₂³	1	1	yes	characteristic
198	C₂×H(5,𝔽₂)	C₂³	1	1	yes	characteristic
199	#578	—	2	1	no	—
200	#578	—	2	2	no	—
201	#578	—	2	1	no	—
202	#578	—	4	1	no	—
203	#577	—	2	1	no	—
204	#577	—	2	1	no	—
205	#577	—	2	2	no	—
206	#577	—	2	2	no	—
207	#577	—	2	2	no	—
208	#577	—	2	2	no	—
209	#577	—	2	1	no	—
210	#577	—	2	1	no	—
211	#577	—	4	1	no	—
212	#577	—	4	1	no	—
213	#577	—	4	1	no	—
214	#577	—	4	1	no	—
215	#576	—	2	1	no	—
216	#576	—	2	2	no	—
217	#576	—	2	1	no	—
218	#576	—	4	1	no	—
219	#575	—	4	1	no	—
220	#575	—	4	1	no	—
221	#575	—	4	1	no	—
222	#575	C₂³	1	1	yes	characteristic
223	#575	C₂³	1	1	yes	characteristic
224	#575	C₂³	1	1	yes	characteristic
225	#575	C₂³	1	1	yes	characteristic
226	#575	C₂³	1	1	yes	characteristic
227	C₂×#137	—	2	1	no	—
228	C₂×#137	—	4	1	no	—
229	C₂×#137	C₂³	1	1	yes	characteristic
230	C₂×#137	C₂³	1	1	yes	characteristic
231	C₂×#137	C₂³	1	1	yes	characteristic
232	C₂×#137	C₂³	1	1	yes	characteristic
233	C₂×#137	C₂³	1	1	yes	characteristic
234	C₂×#137	C₂³	1	1	yes	characteristic
235	C₂×AGL(1,ℤ/8)	—	2	1	no	—
236	C₂×AGL(1,ℤ/8)	—	4	1	no	—
237	C₂×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
238	C₂×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
239	C₂×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
240	C₂×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
241	C₂×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
242	C₂×AGL(1,ℤ/8)	C₂³	1	1	yes	characteristic
243	C₂×#135	—	2	1	no	—
244	C₂×#135	—	4	1	no	—
245	C₂×#135	C₂³	1	1	yes	characteristic
246	C₂×#135	C₂³	1	1	yes	characteristic
247	C₂²×SD₁₆	—	2	1	no	—
248	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
249	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
250	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
251	C₂²×SD₁₆	C₂³	1	1	yes	characteristic
252	#568	C₂³	1	1	yes	characteristic
253	#568	C₂³	1	1	yes	characteristic
254	#568	C₂³	1	1	yes	characteristic
255	#568	C₂³	1	1	yes	characteristic
256	C₂×#131	C₂³	1	1	yes	characteristic
257	C₂×#131	C₂³	1	1	yes	characteristic
258	#559	—	2	2	no	—
259	#557	—	2	2	no	—
260	#556	—	2	2	no	—
261	#552	—	4	2	no	—
262	#550	—	2	2	no	—
263	#546	—	4	2	no	—
264	#541	—	4	1	no	—
265	#540	—	4	1	no	—
266	#536	C₂³	1	1	yes	characteristic
267	#536	C₂³	1	1	yes	characteristic
268	#536	C₂³	1	1	yes	characteristic
269	#536	C₂³	1	1	yes	characteristic
270	#535	C₂³	1	1	yes	characteristic
271	#535	C₂³	1	1	yes	characteristic
272	#535	C₂³	1	1	yes	characteristic
273	#535	C₂³	1	1	yes	characteristic
274	#533	—	4	1	no	—
275	#533	C₂³	1	1	yes	characteristic
276	#532	—	4	1	no	—
277	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic
278	C₂×#127	C₂³	1	1	yes	characteristic
279	#519	C₂³	1	1	yes	characteristic
280	#519	C₂³	1	1	yes	characteristic
281	#519	C₂³	1	1	yes	characteristic
282	#518	C₂³	1	1	yes	characteristic
283	#518	C₂³	1	1	yes	characteristic
284	#518	C₂³	1	1	yes	characteristic
285	C₄×#41	C₂³	1	1	yes	characteristic
286	C₄×#41	C₂³	1	1	yes	characteristic
287	#497	—	2	1	no	—
288	#497	—	2	1	no	—
289	#497	D₄	1	2	yes	complemented
290	#496	—	2	1	no	—
291	#496	—	2	1	no	—
292	#496	D₄	1	2	yes	complemented
293	#495	—	2	1	no	—
294	#495	—	2	1	no	—
295	#495	D₄	1	2	yes	complemented
296	#492	—	2	1	no	—
297	#492	—	2	2	no	—
298	#492	—	2	2	no	—
299	#492	—	2	1	no	—
300	#492	D₄	1	2	yes	complemented
301	#473	—	2	1	no	—
302	#473	—	2	2	no	—
303	#473	—	4	1	no	—
304	#472	—	2	1	no	—
305	#472	—	2	2	no	—
306	#472	—	4	1	no	—
307	#471	—	2	2	no	—
308	#471	—	2	2	no	—
309	#471	—	2	2	no	—
310	#471	—	2	1	no	—
311	#471	—	2	2	no	—
312	#471	—	2	1	no	—
313	#471	—	4	1	no	—
314	#471	—	4	1	no	—
315	#471	—	4	1	no	—
316	#471	—	4	1	no	—
317	#468	—	4	1	no	—
318	#465	—	4	1	no	—
319	#464	—	2	2	no	—
320	#464	—	2	2	no	—
321	#464	—	4	1	no	—
322	#463	—	2	2	no	—
323	#463	—	2	2	no	—
324	#463	—	4	1	no	—
325	#462	—	2	2	no	—
326	#461	—	2	2	no	—
327	#461	—	2	2	no	—
328	#461	—	2	2	no	—
329	#461	—	4	1	no	—
330	#460	—	2	2	no	—
331	#460	—	2	2	no	—
332	#460	—	2	2	no	—
333	#460	—	4	1	no	—
334	#459	—	2	2	no	—
335	#458	—	4	2	no	—
336	B(4,𝔽₂)	—	4	2	no	—
337	#456	—	2	2	no	—
338	#456	—	2	2	no	—
339	#456	—	4	1	no	—
340	#456	—	4	1	no	—
341	#456	—	4	1	no	—
342	#455	—	2	2	no	—
343	#455	—	2	2	no	—
344	#455	—	4	1	no	—
345	#454	—	2	2	no	—
346	#454	—	2	2	no	—
347	#454	—	4	1	no	—
348	#453	—	2	2	no	—
349	#453	—	2	2	no	—
350	#453	—	4	1	no	—
351	#453	—	4	1	no	—
352	#453	—	4	1	no	—
353	#452	—	4	1	no	—
354	#450	—	4	1	no	—
355	#449	—	4	1	no	—
356	#448	—	4	1	no	—
357	#446	—	2	2	no	—
358	C₈×Q₈	—	2	2	no	—
359	#444	—	2	2	no	—
360	#444	—	2	2	no	—
361	#444	—	4	1	no	—
362	#443	—	2	2	no	—
363	#443	—	2	2	no	—
364	#443	—	4	1	no	—
365	#440	—	2	2	no	—
366	#440	—	2	2	no	—
367	#440	—	4	1	no	—
368	C₄×Q₁₆	—	2	1	no	—
369	C₄×SD₁₆	—	2	1	no	—
370	C₄×SD₁₆	—	2	2	no	—
371	C₄×SD₁₆	—	2	1	no	—
372	C₄×SD₁₆	—	2	2	no	—
373	C₄×SD₁₆	—	4	1	no	—
374	C₄×D₈	—	2	1	no	—
375	#430	C₂³	1	1	yes	characteristic
376	#430	C₂³	1	1	yes	characteristic
377	#430	C₂³	1	1	yes	characteristic
378	C₂×#108	C₂³	1	1	yes	characteristic
379	C₂×#108	C₂³	1	1	yes	characteristic
380	#427	C₂³	1	1	yes	characteristic
381	#427	C₂³	1	1	yes	characteristic
382	#424	C₂³	1	1	yes	characteristic
383	#424	C₂³	1	1	yes	characteristic
384	#424	C₂³	1	1	yes	characteristic
385	#424	C₂³	1	1	yes	characteristic
386	#423	C₂³	1	1	yes	characteristic
387	#421	—	4	1	no	—
388	#421	—	4	1	no	—
389	#421	C₂³	1	1	yes	characteristic
390	#421	C₂³	1	1	yes	characteristic
391	#421	C₂³	1	1	yes	characteristic
392	#421	C₂³	1	1	yes	characteristic
393	#421	C₂³	1	1	yes	characteristic
394	#421	C₂³	1	1	yes	characteristic
395	#421	C₂³	1	1	yes	characteristic
396	#421	C₂³	1	1	yes	characteristic
397	#421	C₂³	1	1	yes	characteristic
398	#421	C₂³	1	1	yes	characteristic
399	#421	C₂³	1	1	yes	characteristic
400	#421	C₂³	1	1	yes	characteristic
401	#421	C₂³	1	1	yes	characteristic
402	#421	C₂³	1	1	yes	characteristic
403	C₂×#104	—	4	1	no	—
404	C₂×#104	—	4	1	no	—
405	C₂×#104	C₂³	1	1	yes	characteristic
406	C₂×#104	C₂³	1	1	yes	characteristic
407	C₂×#104	C₂³	1	1	yes	characteristic
408	C₂×#104	C₂³	1	1	yes	characteristic
409	#419	C₂³	1	1	yes	characteristic
410	#419	C₂³	1	1	yes	characteristic
411	#419	C₂³	1	1	yes	characteristic
412	#419	C₂³	1	1	yes	characteristic
413	#419	C₂³	1	1	yes	characteristic
414	#419	C₂³	1	1	yes	characteristic
415	#418	C₂³	1	1	yes	characteristic
416	#418	C₂³	1	1	yes	characteristic
417	#418	C₂³	1	1	yes	characteristic
418	#418	C₂³	1	1	yes	characteristic
419	#418	C₂³	1	1	yes	characteristic
420	#418	C₂³	1	1	yes	characteristic
421	#416	C₂³	1	1	yes	characteristic
422	#416	C₂³	1	1	yes	characteristic
423	#416	C₂³	1	1	yes	characteristic
424	#416	C₂³	1	1	yes	characteristic
425	#413	C₂³	1	1	yes	characteristic
426	#413	C₂³	1	1	yes	characteristic
427	#413	C₂³	1	1	yes	characteristic
428	#413	C₂³	1	1	yes	characteristic
429	C₂×#101	C₂³	1	1	yes	characteristic
430	C₂×#101	C₂³	1	1	yes	characteristic
431	C₂×#101	C₂³	1	1	yes	characteristic
432	C₂×#101	C₂³	1	1	yes	characteristic
433	C₂×#100	C₂³	1	1	yes	characteristic
434	C₂×#100	C₂³	1	1	yes	characteristic
435	C₂×#100	C₂³	1	1	yes	characteristic
436	C₂×#100	C₂³	1	1	yes	characteristic
437	#410	—	4	2	no	—
438	#410	C₂³	1	1	yes	characteristic
439	#410	C₂³	1	1	yes	characteristic
440	#410	C₂³	1	1	yes	characteristic
441	#410	C₂³	1	1	yes	characteristic
442	#410	C₂³	1	1	yes	characteristic
443	#410	C₂³	1	1	yes	characteristic
444	#410	C₂³	1	1	yes	characteristic
445	#410	C₂³	1	1	yes	characteristic
446	#410	C₂³	1	1	yes	characteristic
447	#410	C₂³	1	1	yes	characteristic
448	C₂×#99	—	4	2	no	—
449	#408	C₂³	1	1	yes	characteristic
450	#408	C₂³	1	1	yes	characteristic
451	#405	C₂³	1	1	yes	characteristic
452	#405	C₂³	1	1	yes	characteristic
453	#405	C₂³	1	1	yes	characteristic
454	#405	C₂³	1	1	yes	characteristic
455	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
456	#344	C₂³	1	1	yes	characteristic
457	#344	C₂³	1	1	yes	characteristic
458	#344	C₂³	1	1	yes	characteristic
459	#344	C₂³	1	1	yes	characteristic
460	#344	C₂³	1	1	yes	characteristic
461	#344	C₂³	1	1	yes	characteristic
462	#344	C₂³	1	1	yes	characteristic
463	#344	C₂³	1	1	yes	characteristic
464	#344	C₂³	1	1	yes	characteristic
465	#344	C₂³	1	1	yes	characteristic
466	#344	C₂³	1	1	yes	characteristic
467	#344	C₂³	1	1	yes	characteristic
468	#341	C₂³	1	1	yes	characteristic
469	#341	C₂³	1	1	yes	characteristic
470	#339	C₂³	1	1	yes	characteristic
471	#339	C₂³	1	1	yes	characteristic
472	#339	C₂³	1	1	yes	characteristic
473	#339	C₂³	1	1	yes	characteristic
474	#338	C₂³	1	1	yes	characteristic
475	H(3,ℤ/4)	C₂³	1	1	yes	characteristic
476	H(3,ℤ/4)	C₂³	1	1	yes	characteristic
477	H(3,ℤ/4)	C₂³	1	1	yes	characteristic
478	H(3,ℤ/4)	C₂³	1	1	yes	characteristic
479	H(3,ℤ/4)	C₂³	1	1	yes	characteristic
480	H(3,ℤ/4)	C₂³	1	1	yes	characteristic
481	H(3,ℤ/4)	C₂³	1	1	yes	characteristic
482	H(3,ℤ/4)	C₂³	1	1	yes	characteristic
483	H(3,ℤ/4)	C₂³	1	1	yes	characteristic
484	2₋¹⁺⁴	—	2	2	no	—
485	2₋¹⁺⁴	—	2	1	no	—
486	2₋¹⁺⁴	—	2	1	no	—
487	2₋¹⁺⁴	—	2	1	no	—
488	2₋¹⁺⁴	—	2	1	no	—
489	2₋¹⁺⁴	—	2	1	no	—
490	2₋¹⁺⁴	—	2	1	no	—
491	2₋¹⁺⁴	—	4	1	no	—
492	2₋¹⁺⁴	—	4	1	no	—
493	2₋¹⁺⁴	—	4	1	no	—
494	H(5,𝔽₂)	—	2	1	no	—
495	H(5,𝔽₂)	—	2	2	no	—
496	H(5,𝔽₂)	—	2	1	no	—
497	H(5,𝔽₂)	—	2	1	no	—
498	H(5,𝔽₂)	—	2	1	no	—
499	H(5,𝔽₂)	—	2	1	no	—
500	H(5,𝔽₂)	—	2	1	no	—
501	H(5,𝔽₂)	—	4	1	no	—
502	H(5,𝔽₂)	—	4	1	no	—
503	H(5,𝔽₂)	—	4	1	no	—
504	H(5,𝔽₂)	—	4	1	no	—
505	H(5,𝔽₂)	—	4	1	no	—
506	C₂×#41	—	2	1	no	—
507	C₂×#41	—	2	1	no	—
508	C₂×#41	—	2	1	no	—
509	C₂×#41	—	2	1	no	—
510	C₂×#41	—	4	1	no	—
511	C₂×#41	—	4	1	no	—
512	C₂×#41	—	4	1	no	—
513	C₂×#41	—	4	1	no	—
514	C₂×#41	—	4	1	no	—
515	C₂×#41	—	4	1	no	—
516	C₂×#41	—	4	1	no	—
517	C₂×#41	—	4	2	no	—
518	C₂×#41	C₂⁴	1	1	yes	characteristic
519	C₂×#41	C₂⁴	1	1	yes	characteristic
520	C₂×#41	C₂⁴	1	1	yes	characteristic
521	C₂×#41	C₂⁴	1	1	yes	characteristic
522	C₂×#41	C₂⁴	1	1	yes	characteristic
523	C₂×#41	C₂⁴	1	1	yes	characteristic
524	C₂²×Q₈	—	2	1	no	—
525	C₂²×Q₈	—	2	1	no	—
526	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
527	C₂²×Q₈	C₂⁴	1	1	yes	characteristic
528	C₂²×D₄	—	2	1	no	—
529	C₂²×D₄	—	2	1	no	—
530	C₂²×D₄	—	4	1	no	—
531	C₂²×D₄	—	4	1	no	—
532	C₂²×D₄	C₂⁴	1	1	yes	characteristic
533	C₂²×D₄	C₂⁴	1	1	yes	characteristic
534	#137	—	2	1	no	—
535	#137	—	2	1	no	—
536	#137	—	2	2	no	—
537	#137	—	2	2	no	—
538	#137	—	2	1	no	—
539	#137	—	2	1	no	—
540	#137	—	2	1	no	—
541	#137	—	2	1	no	—
542	#137	—	2	1	no	—
543	#137	—	2	1	no	—
544	#137	—	2	1	no	—
545	#137	—	2	1	no	—
546	#137	—	4	1	no	—
547	#137	—	4	1	no	—
548	#137	—	4	1	no	—
549	#137	—	4	1	no	—
550	#137	—	4	1	no	—
551	#137	—	4	1	no	—
552	#137	—	4	1	no	—
553	#137	—	4	1	no	—
554	#137	—	4	1	no	—
555	#137	—	4	1	no	—
556	#137	—	4	2	no	—
557	#137	—	4	2	no	—
558	#137	—	4	1	no	—
559	#137	—	4	1	no	—
560	#137	—	4	1	no	—
561	#137	—	4	1	no	—
562	#137	—	4	2	no	—
563	#137	—	4	2	no	—
564	#137	—	4	2	no	—
565	#137	—	4	2	no	—
566	AGL(1,ℤ/8)	—	2	1	no	—
567	AGL(1,ℤ/8)	—	2	1	no	—
568	AGL(1,ℤ/8)	—	2	2	no	—
569	AGL(1,ℤ/8)	—	2	2	no	—
570	AGL(1,ℤ/8)	—	2	1	no	—
571	AGL(1,ℤ/8)	—	2	1	no	—
572	AGL(1,ℤ/8)	—	2	1	no	—
573	AGL(1,ℤ/8)	—	2	1	no	—
574	AGL(1,ℤ/8)	—	2	1	no	—
575	AGL(1,ℤ/8)	—	2	1	no	—
576	AGL(1,ℤ/8)	—	2	1	no	—
577	AGL(1,ℤ/8)	—	2	1	no	—
578	AGL(1,ℤ/8)	—	4	1	no	—
579	AGL(1,ℤ/8)	—	4	1	no	—
580	AGL(1,ℤ/8)	—	4	1	no	—
581	AGL(1,ℤ/8)	—	4	1	no	—
582	AGL(1,ℤ/8)	—	4	1	no	—
583	AGL(1,ℤ/8)	—	4	1	no	—
584	AGL(1,ℤ/8)	—	4	1	no	—
585	AGL(1,ℤ/8)	—	4	1	no	—
586	AGL(1,ℤ/8)	—	4	1	no	—
587	AGL(1,ℤ/8)	—	4	1	no	—
588	AGL(1,ℤ/8)	—	4	2	no	—
589	AGL(1,ℤ/8)	—	4	2	no	—
590	AGL(1,ℤ/8)	—	4	1	no	—
591	AGL(1,ℤ/8)	—	4	1	no	—
592	AGL(1,ℤ/8)	—	4	1	no	—
593	AGL(1,ℤ/8)	—	4	1	no	—
594	AGL(1,ℤ/8)	—	4	2	no	—
595	AGL(1,ℤ/8)	—	4	2	no	—
596	AGL(1,ℤ/8)	—	4	2	no	—
597	AGL(1,ℤ/8)	—	4	2	no	—
598	#135	—	2	1	no	—
599	#135	—	2	1	no	—
600	#135	—	2	2	no	—
601	#135	—	2	1	no	—
602	#135	—	2	1	no	—
603	#135	—	2	1	no	—
604	#135	—	2	1	no	—
605	#135	—	2	1	no	—
606	#135	—	2	1	no	—
607	#135	—	4	1	no	—
608	#135	—	4	1	no	—
609	#135	—	4	1	no	—
610	#135	—	4	1	no	—
611	#135	—	4	1	no	—
612	#135	—	4	1	no	—
613	#135	—	4	2	no	—
614	#135	—	4	2	no	—
615	#135	—	4	2	no	—
616	#135	—	4	1	no	—
617	#135	—	4	1	no	—
618	#135	—	4	2	no	—
619	#135	—	4	2	no	—
620	#135	—	4	2	no	—
621	C₂×Q₁₆	—	2	1	no	—
622	C₂×Q₁₆	—	2	1	no	—
623	C₂×Q₁₆	—	2	1	no	—
624	C₂×Q₁₆	—	2	1	no	—
625	C₂×Q₁₆	—	2	1	no	—
626	C₂×Q₁₆	—	4	1	no	—
627	C₂×Q₁₆	—	4	2	no	—
628	C₂×Q₁₆	C₂×D₄	1	1	yes	characteristic
629	C₂×Q₁₆	C₂×D₄	1	2	yes	—
630	C₂×Q₁₆	#41	1	1	yes	characteristic, complemented
631	C₂×SD₁₆	—	2	1	no	—
632	C₂×SD₁₆	—	2	1	no	—
633	C₂×SD₁₆	—	2	1	no	—
634	C₂×SD₁₆	—	2	1	no	—
635	C₂×SD₁₆	—	2	2	no	—
636	C₂×SD₁₆	—	2	1	no	—
637	C₂×SD₁₆	—	2	1	no	—
638	C₂×SD₁₆	—	2	1	no	—
639	C₂×SD₁₆	—	2	2	no	—
640	C₂×SD₁₆	—	2	1	no	—
641	C₂×SD₁₆	—	2	1	no	—
642	C₂×SD₁₆	—	2	1	no	—
643	C₂×SD₁₆	—	2	1	no	—
644	C₂×SD₁₆	—	2	1	no	—
645	C₂×SD₁₆	—	2	1	no	—
646	C₂×SD₁₆	—	2	1	no	—
647	C₂×SD₁₆	—	2	1	no	—
648	C₂×SD₁₆	—	2	1	no	—
649	C₂×SD₁₆	—	2	1	no	—
650	C₂×SD₁₆	—	2	1	no	—
651	C₂×SD₁₆	—	2	1	no	—
652	C₂×SD₁₆	—	2	1	no	—
653	C₂×SD₁₆	—	4	1	no	—
654	C₂×SD₁₆	—	4	1	no	—
655	C₂×SD₁₆	—	4	1	no	—
656	C₂×SD₁₆	—	4	1	no	—
657	C₂×SD₁₆	—	4	2	no	—
658	C₂×SD₁₆	—	4	2	no	—
659	C₂×SD₁₆	—	4	1	no	—
660	C₂×SD₁₆	—	4	1	no	—
661	C₂×SD₁₆	—	4	2	no	—
662	C₂×SD₁₆	—	4	2	no	—
663	C₂×SD₁₆	C₂×D₄	1	2	yes	—
664	C₂×SD₁₆	C₂×D₄	1	2	yes	—
665	C₂×SD₁₆	C₂×D₄	1	1	yes	characteristic
666	C₂×SD₁₆	C₂×D₄	1	1	yes	characteristic
667	C₂×SD₁₆	C₂×D₄	1	2	yes	—
668	C₂×SD₁₆	C₂×D₄	1	2	yes	—
669	C₂×SD₁₆	#41	1	1	yes	characteristic, complemented
670	C₂×SD₁₆	#41	1	1	yes	characteristic, complemented
671	C₂×D₈	—	2	1	no	—
672	C₂×D₈	—	2	1	no	—
673	C₂×D₈	—	2	1	no	—
674	C₂×D₈	—	2	1	no	—
675	C₂×D₈	—	2	1	no	—
676	C₂×D₈	—	4	1	no	—
677	C₂×D₈	—	4	2	no	—
678	C₂×D₈	C₂×D₄	1	1	yes	characteristic
679	C₂×D₈	C₂×D₄	1	2	yes	—
680	C₂×D₈	#41	1	1	yes	characteristic, complemented
681	#131	—	2	1	no	—
682	#131	—	2	1	no	—
683	#131	—	2	1	no	—
684	#131	—	2	1	no	—
685	#131	—	2	2	no	—
686	#131	—	2	2	no	—
687	#131	—	2	1	no	—
688	#131	—	2	1	no	—
689	#131	—	2	1	no	—
690	#131	—	2	1	no	—
691	#131	—	4	1	no	—
692	#131	—	4	1	no	—
693	#131	—	4	1	no	—
694	#131	—	4	1	no	—
695	#131	—	4	1	no	—
696	#131	—	4	1	no	—
697	C₂×M₁₆	—	2	1	no	—
698	C₂×M₁₆	—	2	1	no	—
699	C₂×M₁₆	—	4	1	no	—
700	C₂×M₁₆	—	4	1	no	—
701	C₂×M₁₆	—	4	1	no	—
702	C₂×M₁₆	—	4	1	no	—
703	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
704	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
705	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
706	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
707	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
708	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
709	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
710	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
711	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
712	C₂×M₁₆	C₂⁴	1	1	yes	characteristic
713	C₂²×C₈	—	2	1	no	—
714	C₂²×C₈	—	2	1	no	—
715	C₂²×C₈	C₂⁴	1	1	yes	characteristic
716	C₂²×C₈	C₂⁴	1	1	yes	characteristic
717	C₄⋊Q₈	—	2	2	no	—
718	C₄⋊Q₈	—	2	1	no	—
719	C₄⋊Q₈	—	2	1	no	—
720	C₄⋊Q₈	—	2	1	no	—
721	C₄⋊Q₈	—	2	1	no	—
722	C₄⋊Q₈	—	2	1	no	—
723	C₄⋊Q₈	—	2	1	no	—
724	C₄⋊Q₈	C₂×D₄	1	2	yes	—
725	#127	—	2	2	no	—
726	#127	—	2	1	no	—
727	#127	—	2	1	no	—
728	#127	—	2	1	no	—
729	#127	—	2	1	no	—
730	#127	—	2	1	no	—
731	#127	C₂×D₄	1	2	yes	—
732	#126	—	4	2	no	—
733	#126	—	4	2	no	—
734	#125	—	2	1	no	—
735	#125	—	4	2	no	—
736	#125	—	4	2	no	—
737	#125	—	4	2	no	—
738	#124	—	2	1	no	—
739	#124	—	2	1	no	—
740	#124	—	2	1	no	—
741	#124	—	2	1	no	—
742	#124	—	2	1	no	—
743	#124	—	2	1	no	—
744	#124	—	4	2	no	—
745	#124	C₂×D₄	1	2	yes	—
746	#124	C₂×D₄	1	2	yes	—
747	#123	—	2	2	no	—
748	#123	—	4	1	no	—
749	#123	—	4	1	no	—
750	#123	—	4	1	no	—
751	#123	—	4	2	no	—
752	#123	—	4	2	no	—
753	C₂²⋊Q₈	—	2	2	no	—
754	C₂²⋊Q₈	—	4	1	no	—
755	C₂²⋊Q₈	—	4	1	no	—
756	C₂²⋊Q₈	—	4	2	no	—
757	C₂²⋊Q₈	—	4	1	no	—
758	C₂²⋊Q₈	—	4	1	no	—
759	#121	—	4	1	no	—
760	#121	—	4	1	no	—
761	#121	—	4	2	no	—
762	#121	—	4	2	no	—
763	#121	—	4	2	no	—
764	#121	—	4	1	no	—
765	#121	—	4	1	no	—
766	#120	—	2	2	no	—
767	#120	—	4	1	no	—
768	#120	—	4	1	no	—
769	#120	—	4	1	no	—
770	C₄×Q₈	—	2	2	no	—
771	C₄×Q₈	—	2	1	no	—
772	C₄×Q₈	—	2	1	no	—
773	C₄×Q₈	—	2	2	no	—
774	C₄×Q₈	—	2	2	no	—
775	C₄×Q₈	—	4	1	no	—
776	C₄×Q₈	—	4	1	no	—
777	C₄×Q₈	—	4	1	no	—
778	C₄×Q₈	—	4	1	no	—
779	C₄×Q₈	—	4	2	no	—
780	C₄×D₄	—	2	1	no	—
781	C₄×D₄	—	2	1	no	—
782	C₄×D₄	—	2	2	no	—
783	C₄×D₄	—	2	2	no	—
784	C₄×D₄	—	4	1	no	—
785	C₄×D₄	—	4	1	no	—
786	C₄×D₄	—	4	1	no	—
787	C₄×D₄	—	4	1	no	—
788	C₄×D₄	—	4	1	no	—
789	C₄×D₄	—	4	1	no	—
790	C₄×D₄	—	4	2	no	—
791	#117	—	2	1	no	—
792	#117	—	2	1	no	—
793	#117	—	2	2	no	—
794	#117	—	4	1	no	—
795	#117	—	4	2	no	—
796	#117	—	4	1	no	—
797	#117	C₂⁴	1	1	yes	characteristic
798	#117	C₂⁴	1	1	yes	characteristic
799	#117	C₂⁴	1	1	yes	characteristic
800	#117	C₂⁴	1	1	yes	characteristic
801	#117	C₂⁴	1	1	yes	characteristic
802	#117	C₂⁴	1	1	yes	characteristic
803	#117	C₂⁴	1	1	yes	characteristic
804	#117	C₂⁴	1	1	yes	characteristic
805	C₂×C₄⋊C₄	—	4	1	no	—
806	C₂×C₂²⋊C₄	—	2	2	no	—
807	C₂×C₂²⋊C₄	—	4	1	no	—
808	C₂×C₂²⋊C₄	—	4	1	no	—
809	C₂×C₄²	—	2	1	no	—
810	C₂×C₄²	—	2	1	no	—
811	C₂×C₄²	C₂⁴	1	1	yes	characteristic
812	#108	—	2	1	no	—
813	#108	—	2	1	no	—
814	#108	—	2	2	no	—
815	#108	—	2	1	no	—
816	#108	—	2	1	no	—
817	#108	—	4	1	no	—
818	#108	—	4	1	no	—
819	#107	—	2	1	no	—
820	#107	—	2	1	no	—
821	#106	—	2	1	no	—
822	#106	—	2	1	no	—
823	C₄⋊C₈	—	2	2	no	—
824	C₄⋊C₈	—	2	2	no	—
825	C₄⋊C₈	—	2	2	no	—
826	C₄⋊C₈	—	4	1	no	—
827	C₄⋊C₈	—	4	1	no	—
828	#104	—	2	2	no	—
829	#104	—	2	2	no	—
830	#104	—	2	2	no	—
831	#104	—	2	2	no	—
832	#104	—	2	1	no	—
833	#104	—	2	1	no	—
834	#104	—	2	1	no	—
835	#104	—	2	1	no	—
836	#104	—	2	1	no	—
837	#104	—	2	1	no	—
838	#104	—	2	1	no	—
839	#104	—	2	1	no	—
840	#104	—	4	1	no	—
841	#104	—	4	1	no	—
842	#104	—	4	1	no	—
843	#104	—	4	1	no	—
844	#104	—	4	1	no	—
845	#104	—	4	1	no	—
846	#104	—	4	1	no	—
847	#104	—	4	1	no	—
848	#104	—	4	1	no	—
849	#104	—	4	1	no	—
850	#103	—	2	1	no	—
851	#103	—	2	1	no	—
852	#103	—	2	2	no	—
853	#103	—	2	1	no	—
854	#103	—	2	1	no	—
855	#103	—	2	2	no	—
856	#103	—	4	1	no	—
857	#103	—	4	1	no	—
858	#103	—	4	1	no	—
859	#103	—	4	1	no	—
860	#102	—	2	1	no	—
861	#102	—	2	1	no	—
862	#102	—	2	2	no	—
863	#102	—	2	1	no	—
864	#102	—	2	1	no	—
865	#102	—	2	2	no	—
866	#102	—	4	1	no	—
867	#102	—	4	1	no	—
868	#102	—	4	1	no	—
869	#102	—	4	1	no	—
870	#101	—	2	2	no	—
871	#101	—	2	1	no	—
872	#101	—	2	1	no	—
873	#101	—	2	1	no	—
874	#101	—	2	1	no	—
875	#101	—	4	1	no	—
876	#101	—	4	1	no	—
877	#101	—	4	1	no	—
878	#100	—	2	2	no	—
879	#100	—	2	1	no	—
880	#100	—	2	1	no	—
881	#100	—	2	1	no	—
882	#100	—	2	1	no	—
883	#100	—	4	1	no	—
884	#100	—	4	1	no	—
885	#100	—	4	1	no	—
886	#99	—	2	2	no	—
887	#99	—	2	2	no	—
888	#99	—	2	2	no	—
889	#99	—	2	2	no	—
890	#99	—	4	1	no	—
891	#99	—	4	1	no	—
892	#99	—	4	1	no	—
893	#99	—	4	1	no	—
894	#99	—	4	1	no	—
895	#99	—	4	1	no	—
896	C₂²⋊C₈	—	4	1	no	—
897	C₂²⋊C₈	—	4	1	no	—
898	#97	—	2	1	no	—
899	#97	—	2	1	no	—
900	#97	—	2	1	no	—
901	#97	C₂×D₄	1	2	yes	—
902	C₄×C₈	—	2	1	no	—
903	C₄×C₈	—	2	1	no	—
904	C₄×C₈	—	2	1	no	—
905	C₄×C₈	—	2	1	no	—
906	C₄×C₈	—	2	1	no	—
907	C₄×C₈	C₂×D₄	1	2	yes	—
908	C₂⁴	—	2	1	no	—
909	C₂⁴	—	2	1	no	—
910	C₂⁴	—	4	1	no	—
911	#41	—	2	1	no	—
912	#41	—	2	1	no	—
913	#41	—	2	1	no	—
914	#41	—	2	1	no	—
915	#41	—	2	1	no	—
916	#41	—	2	1	no	—
917	#41	—	2	1	no	—
918	#41	—	2	1	no	—
919	#41	—	2	1	no	—
920	#41	—	2	1	no	—
921	#41	—	2	1	no	—
922	#41	—	2	1	no	—
923	#41	—	2	1	no	—
924	#41	—	2	1	no	—
925	#41	—	2	1	no	—
926	#41	—	2	1	no	—
927	#41	—	2	1	no	—
928	#41	—	2	1	no	—
929	#41	—	2	1	no	—
930	#41	—	2	1	no	—
931	#41	—	2	1	no	—
932	#41	—	2	1	no	—
933	#41	—	2	1	no	—
934	#41	—	2	1	no	—
935	#41	—	4	2	no	—
936	#41	—	4	1	no	—
937	#41	—	4	1	no	—
938	#41	—	4	2	no	—
939	#41	—	4	2	no	—
940	#41	—	4	1	no	—
941	#41	—	4	1	no	—
942	#41	—	4	1	no	—
943	#41	—	4	1	no	—
944	#41	—	4	2	no	—
945	#41	—	4	1	no	—
946	#41	—	4	1	no	—
947	#41	—	4	1	no	—
948	#41	—	4	1	no	—
949	#41	—	4	1	no	—
950	#41	—	4	1	no	—
951	#41	—	8	1	no	—
952	#41	—	8	1	no	—
953	#41	—	8	1	no	—
954	#41	—	8	1	no	—
955	#41	—	8	1	no	—
956	#41	—	8	1	no	—
957	#41	—	8	2	no	—
958	#41	—	8	1	no	—
959	#41	—	8	1	no	—
960	#41	—	8	1	no	—
961	#41	—	8	1	no	—
962	#41	—	8	2	no	—
963	#41	—	8	1	no	—
964	#41	—	8	1	no	—
965	#41	—	16	4	no	—
966	C₂×Q₈	—	2	2	no	—
967	C₂×Q₈	—	2	1	no	—
968	C₂×Q₈	—	2	1	no	—
969	C₂×Q₈	—	2	1	no	—
970	C₂×Q₈	—	2	1	no	—
971	C₂×Q₈	—	2	1	no	—
972	C₂×Q₈	—	2	1	no	—
973	C₂×Q₈	—	2	1	no	—
974	C₂×Q₈	—	2	1	no	—
975	C₂×Q₈	—	2	1	no	—
976	C₂×Q₈	—	2	1	no	—
977	C₂×Q₈	—	2	1	no	—
978	C₂×Q₈	—	4	1	no	—
979	C₂×Q₈	—	4	2	no	—
980	C₂×Q₈	—	4	1	no	—
981	C₂×Q₈	—	4	2	no	—
982	C₂×Q₈	—	4	1	no	—
983	C₂×Q₈	—	4	1	no	—
984	C₂×Q₈	—	4	1	no	—
985	C₂×Q₈	—	4	1	no	—
986	C₂×Q₈	—	4	1	no	—
987	C₂×Q₈	—	8	1	no	—
988	C₂×Q₈	—	8	1	no	—
989	C₂×Q₈	C₂²×D₄	1	1	yes	characteristic
990	C₂×Q₈	C₂²×D₄	1	2	yes	—
991	C₂×Q₈	C₂²×D₄	1	1	yes	characteristic
992	C₂×Q₈	C₂×#41	1	1	yes	characteristic
993	C₂×Q₈	C₂×#41	1	1	yes	characteristic
994	C₂×Q₈	H(5,𝔽₂)	1	1	yes	characteristic
995	C₂×Q₈	H(5,𝔽₂)	1	1	yes	characteristic
996	C₂×D₄	—	2	1	no	—
997	C₂×D₄	—	2	1	no	—
998	C₂×D₄	—	2	1	no	—
999	C₂×D₄	—	2	1	no	—
1000	C₂×D₄	—	2	1	no	—
1001	C₂×D₄	—	2	1	no	—
1002	C₂×D₄	—	2	1	no	—
1003	C₂×D₄	—	2	1	no	—
1004	C₂×D₄	—	2	1	no	—
1005	C₂×D₄	—	2	1	no	—
1006	C₂×D₄	—	2	1	no	—
1007	C₂×D₄	—	2	1	no	—
1008	C₂×D₄	—	2	1	no	—
1009	C₂×D₄	—	2	1	no	—
1010	C₂×D₄	—	2	1	no	—
1011	C₂×D₄	—	2	1	no	—
1012	C₂×D₄	—	2	1	no	—
1013	C₂×D₄	—	4	2	no	—
1014	C₂×D₄	—	4	1	no	—
1015	C₂×D₄	—	4	1	no	—
1016	C₂×D₄	—	4	2	no	—
1017	C₂×D₄	—	4	2	no	—
1018	C₂×D₄	—	4	2	no	—
1019	C₂×D₄	—	4	1	no	—
1020	C₂×D₄	—	4	2	no	—
1021	C₂×D₄	—	4	1	no	—
1022	C₂×D₄	—	4	1	no	—
1023	C₂×D₄	—	4	2	no	—
1024	C₂×D₄	—	4	1	no	—
1025	C₂×D₄	—	4	1	no	—
1026	C₂×D₄	—	4	1	no	—
1027	C₂×D₄	—	4	1	no	—
1028	C₂×D₄	—	8	1	no	—
1029	C₂×D₄	—	8	1	no	—
1030	C₂×D₄	—	8	1	no	—
1031	C₂×D₄	—	8	1	no	—
1032	C₂×D₄	—	8	2	no	—
1033	C₂×D₄	—	8	1	no	—
1034	C₂×D₄	—	8	1	no	—
1035	C₂×D₄	—	8	1	no	—
1036	C₂×D₄	—	8	1	no	—
1037	C₂×D₄	—	8	1	no	—
1038	C₂×D₄	—	8	1	no	—
1039	C₂×D₄	—	8	2	no	—
1040	C₂×D₄	—	16	2	no	—
1041	C₂×D₄	C₂²×D₄	1	1	yes	characteristic
1042	C₂×D₄	C₂²×D₄	1	2	yes	—
1043	C₂×D₄	C₂²×D₄	1	1	yes	characteristic
1044	C₂×D₄	C₂×#41	1	1	yes	characteristic
1045	C₂×D₄	C₂×#41	1	1	yes	characteristic
1046	C₂×D₄	H(5,𝔽₂)	1	1	yes	characteristic
1047	C₂×D₄	H(5,𝔽₂)	1	1	yes	characteristic
1048	C₂²×C₄	—	2	1	no	—
1049	C₂²×C₄	—	2	1	no	—
1050	C₂²×C₄	—	2	1	no	—
1051	C₂²×C₄	—	2	1	no	—
1052	C₂²×C₄	—	2	1	no	—
1053	C₂²×C₄	—	2	1	no	—
1054	C₂²×C₄	—	2	1	no	—
1055	C₂²×C₄	—	2	1	no	—
1056	C₂²×C₄	—	2	1	no	—
1057	C₂²×C₄	—	4	1	no	—
1058	C₂²×C₄	—	4	1	no	—
1059	C₂²×C₄	—	4	1	no	—
1060	C₂²×C₄	—	4	1	no	—
1061	C₂²×C₄	—	4	1	no	—
1062	C₂²×C₄	—	4	2	no	—
1063	C₂²×C₄	—	4	2	no	—
1064	C₂²×C₄	—	8	1	no	—
1065	C₂²×C₄	—	8	1	no	—
1066	C₂²×C₄	—	8	1	no	—
1067	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1068	Q₁₆	—	2	2	no	—
1069	Q₁₆	—	2	1	no	—
1070	Q₁₆	—	2	1	no	—
1071	Q₁₆	—	2	1	no	—
1072	Q₁₆	—	2	1	no	—
1073	Q₁₆	—	4	2	no	—
1074	Q₁₆	—	4	2	no	—
1075	Q₁₆	—	4	2	no	—
1076	Q₁₆	—	4	1	no	—
1077	Q₁₆	—	4	1	no	—
1078	Q₁₆	—	4	1	no	—
1079	Q₁₆	—	4	1	no	—
1080	Q₁₆	—	8	1	no	—
1081	Q₁₆	—	8	1	no	—
1082	Q₁₆	—	8	1	no	—
1083	SD₁₆	—	2	2	no	—
1084	SD₁₆	—	2	2	no	—
1085	SD₁₆	—	2	2	no	—
1086	SD₁₆	—	2	2	no	—
1087	SD₁₆	—	2	2	no	—
1088	SD₁₆	—	2	2	no	—
1089	SD₁₆	—	2	1	no	—
1090	SD₁₆	—	2	1	no	—
1091	SD₁₆	—	2	1	no	—
1092	SD₁₆	—	2	1	no	—
1093	SD₁₆	—	2	1	no	—
1094	SD₁₆	—	2	1	no	—
1095	SD₁₆	—	2	1	no	—
1096	SD₁₆	—	2	1	no	—
1097	SD₁₆	—	4	2	no	—
1098	SD₁₆	—	4	2	no	—
1099	SD₁₆	—	4	2	no	—
1100	SD₁₆	—	4	2	no	—
1101	SD₁₆	—	4	2	no	—
1102	SD₁₆	—	4	2	no	—
1103	SD₁₆	—	4	1	no	—
1104	SD₁₆	—	4	1	no	—
1105	SD₁₆	—	4	1	no	—
1106	SD₁₆	—	4	1	no	—
1107	SD₁₆	—	4	1	no	—
1108	SD₁₆	—	4	1	no	—
1109	SD₁₆	—	4	1	no	—
1110	SD₁₆	—	4	1	no	—
1111	SD₁₆	—	4	1	no	—
1112	SD₁₆	—	4	1	no	—
1113	SD₁₆	—	4	1	no	—
1114	SD₁₆	—	4	1	no	—
1115	SD₁₆	—	8	2	no	—
1116	SD₁₆	—	8	1	no	—
1117	SD₁₆	—	8	1	no	—
1118	SD₁₆	—	8	1	no	—
1119	SD₁₆	—	8	2	no	—
1120	SD₁₆	—	8	1	no	—
1121	SD₁₆	—	8	1	no	—
1122	SD₁₆	—	8	1	no	—
1123	D₈	—	2	2	no	—
1124	D₈	—	2	1	no	—
1125	D₈	—	2	1	no	—
1126	D₈	—	2	1	no	—
1127	D₈	—	2	1	no	—
1128	D₈	—	4	2	no	—
1129	D₈	—	4	2	no	—
1130	D₈	—	4	2	no	—
1131	D₈	—	4	1	no	—
1132	D₈	—	4	1	no	—
1133	D₈	—	4	1	no	—
1134	D₈	—	4	1	no	—
1135	D₈	—	8	1	no	—
1136	D₈	—	8	1	no	—
1137	D₈	—	8	1	no	—
1138	M₁₆	—	2	1	no	—
1139	M₁₆	—	2	1	no	—
1140	M₁₆	—	2	1	no	—
1141	M₁₆	—	2	1	no	—
1142	M₁₆	—	2	1	no	—
1143	M₁₆	—	2	1	no	—
1144	M₁₆	—	2	1	no	—
1145	M₁₆	—	2	1	no	—
1146	M₁₆	—	2	1	no	—
1147	M₁₆	—	2	1	no	—
1148	M₁₆	—	2	1	no	—
1149	M₁₆	—	2	1	no	—
1150	M₁₆	—	2	1	no	—
1151	M₁₆	—	2	1	no	—
1152	M₁₆	—	2	1	no	—
1153	M₁₆	—	2	1	no	—
1154	M₁₆	—	2	1	no	—
1155	M₁₆	—	2	1	no	—
1156	M₁₆	—	2	1	no	—
1157	M₁₆	—	2	1	no	—
1158	M₁₆	—	4	2	no	—
1159	M₁₆	—	4	2	no	—
1160	M₁₆	—	4	1	no	—
1161	M₁₆	—	4	1	no	—
1162	M₁₆	—	4	1	no	—
1163	M₁₆	—	4	1	no	—
1164	M₁₆	—	8	1	no	—
1165	M₁₆	—	8	1	no	—
1166	C₂×C₈	—	2	1	no	—
1167	C₂×C₈	—	2	1	no	—
1168	C₂×C₈	—	2	1	no	—
1169	C₂×C₈	—	2	1	no	—
1170	C₂×C₈	—	2	1	no	—
1171	C₂×C₈	—	2	1	no	—
1172	C₂×C₈	—	2	1	no	—
1173	C₂×C₈	—	2	1	no	—
1174	C₂×C₈	—	2	1	no	—
1175	C₂×C₈	—	2	1	no	—
1176	C₂×C₈	—	2	1	no	—
1177	C₂×C₈	—	2	1	no	—
1178	C₂×C₈	—	4	2	no	—
1179	C₂×C₈	—	4	2	no	—
1180	C₂×C₈	—	4	1	no	—
1181	C₂×C₈	—	4	1	no	—
1182	C₂×C₈	—	4	1	no	—
1183	C₂×C₈	—	4	1	no	—
1184	C₂×C₈	—	8	1	no	—
1185	C₂×C₈	—	8	1	no	—
1186	C₂×C₈	C₂²×D₄	1	2	yes	—
1187	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1188	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1189	C₂×C₈	C₂×#41	1	1	yes	characteristic
1190	C₂×C₈	C₂×#41	1	1	yes	characteristic
1191	C₂×C₈	H(5,𝔽₂)	1	1	yes	characteristic
1192	C₂×C₈	H(5,𝔽₂)	1	1	yes	characteristic
1193	C₄⋊C₄	—	2	2	no	—
1194	C₄⋊C₄	—	2	2	no	—
1195	C₄⋊C₄	—	2	2	no	—
1196	C₄⋊C₄	—	2	1	no	—
1197	C₄⋊C₄	—	2	1	no	—
1198	C₄⋊C₄	—	2	1	no	—
1199	C₄⋊C₄	—	2	1	no	—
1200	C₄⋊C₄	—	2	1	no	—
1201	C₄⋊C₄	—	2	1	no	—
1202	C₄⋊C₄	—	2	1	no	—
1203	C₄⋊C₄	—	2	1	no	—
1204	C₄⋊C₄	—	4	2	no	—
1205	C₄⋊C₄	—	4	2	no	—
1206	C₄⋊C₄	—	4	2	no	—
1207	C₄⋊C₄	—	4	1	no	—
1208	C₄⋊C₄	—	4	1	no	—
1209	C₄⋊C₄	—	4	2	no	—
1210	C₄⋊C₄	—	4	2	no	—
1211	C₄⋊C₄	—	4	2	no	—
1212	C₄⋊C₄	—	8	1	no	—
1213	C₄⋊C₄	—	8	1	no	—
1214	C₄⋊C₄	—	8	1	no	—
1215	C₂²⋊C₄	—	2	1	no	—
1216	C₂²⋊C₄	—	2	1	no	—
1217	C₂²⋊C₄	—	2	1	no	—
1218	C₂²⋊C₄	—	2	1	no	—
1219	C₂²⋊C₄	—	2	1	no	—
1220	C₂²⋊C₄	—	2	1	no	—
1221	C₂²⋊C₄	—	2	1	no	—
1222	C₂²⋊C₄	—	4	2	no	—
1223	C₂²⋊C₄	—	4	2	no	—
1224	C₂²⋊C₄	—	4	2	no	—
1225	C₂²⋊C₄	—	4	2	no	—
1226	C₂²⋊C₄	—	4	1	no	—
1227	C₂²⋊C₄	—	4	1	no	—
1228	C₂²⋊C₄	—	4	2	no	—
1229	C₂²⋊C₄	—	4	2	no	—
1230	C₂²⋊C₄	—	8	1	no	—
1231	C₂²⋊C₄	—	8	1	no	—
1232	C₂²⋊C₄	—	8	1	no	—
1233	C₂²⋊C₄	—	8	1	no	—
1234	C₂²⋊C₄	—	8	1	no	—
1235	C₂²⋊C₄	H(5,𝔽₂)	1	2	yes	—
1236	C₄²	—	2	1	no	—
1237	C₄²	—	2	1	no	—
1238	C₄²	—	2	1	no	—
1239	C₄²	—	2	1	no	—
1240	C₄²	—	2	1	no	—
1241	C₄²	—	2	1	no	—
1242	C₄²	—	2	1	no	—
1243	C₄²	—	2	1	no	—
1244	C₄²	—	4	1	no	—
1245	C₄²	—	4	1	no	—
1246	C₄²	—	4	2	no	—
1247	C₄²	—	4	2	no	—
1248	C₄²	—	8	1	no	—
1249	C₄²	C₂²×D₄	1	2	yes	—
1250	C₄²	H(5,𝔽₂)	1	1	yes	characteristic
1251	C₄²	H(5,𝔽₂)	1	1	yes	characteristic
1252	C₂³	—	2	1	no	—
1253	C₂³	—	2	2	no	—
1254	C₂³	—	2	1	no	—
1255	C₂³	—	2	1	no	—
1256	C₂³	—	2	1	no	—
1257	C₂³	—	2	1	no	—
1258	C₂³	—	2	1	no	—
1259	C₂³	—	4	1	no	—
1260	C₂³	—	4	1	no	—
1261	C₂³	—	4	1	no	—
1262	C₂³	—	4	1	no	—
1263	C₂³	—	4	1	no	—
1264	C₂³	—	8	1	no	—
1265	C₂³	—	8	1	no	—
1266	C₂³	—	8	2	no	—
1267	C₂³	—	16	1	no	—
1268	C₂³	—	16	1	no	—
1269	C₂³	—	32	1	no	—
1270	C₂³	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1271	Q₈	—	2	2	no	—
1272	Q₈	—	2	1	no	—
1273	Q₈	—	2	1	no	—
1274	Q₈	—	2	1	no	—
1275	Q₈	—	2	1	no	—
1276	Q₈	—	2	1	no	—
1277	Q₈	—	2	1	no	—
1278	Q₈	—	2	1	no	—
1279	Q₈	—	2	2	no	—
1280	Q₈	—	2	1	no	—
1281	Q₈	—	2	1	no	—
1282	Q₈	—	2	1	no	—
1283	Q₈	—	2	1	no	—
1284	Q₈	—	2	1	no	—
1285	Q₈	—	4	4	no	—
1286	Q₈	—	4	1	no	—
1287	Q₈	—	4	1	no	—
1288	Q₈	—	4	1	no	—
1289	Q₈	—	4	1	no	—
1290	Q₈	—	4	1	no	—
1291	Q₈	—	4	1	no	—
1292	Q₈	—	8	2	no	—
1293	Q₈	—	8	1	no	—
1294	Q₈	—	8	1	no	—
1295	D₄	—	2	1	no	—
1296	D₄	—	2	1	no	—
1297	D₄	—	2	1	no	—
1298	D₄	—	2	1	no	—
1299	D₄	—	2	2	no	—
1300	D₄	—	2	1	no	—
1301	D₄	—	2	1	no	—
1302	D₄	—	2	1	no	—
1303	D₄	—	2	2	no	—
1304	D₄	—	2	1	no	—
1305	D₄	—	2	1	no	—
1306	D₄	—	2	1	no	—
1307	D₄	—	2	1	no	—
1308	D₄	—	2	1	no	—
1309	D₄	—	4	1	no	—
1310	D₄	—	4	1	no	—
1311	D₄	—	4	1	no	—
1312	D₄	—	4	1	no	—
1313	D₄	—	4	1	no	—
1314	D₄	—	4	1	no	—
1315	D₄	—	4	1	no	—
1316	D₄	—	4	1	no	—
1317	D₄	—	4	1	no	—
1318	D₄	—	4	1	no	—
1319	D₄	—	4	1	no	—
1320	D₄	—	4	1	no	—
1321	D₄	—	4	1	no	—
1322	D₄	—	4	1	no	—
1323	D₄	—	4	1	no	—
1324	D₄	—	4	1	no	—
1325	D₄	—	4	1	no	—
1326	D₄	—	4	1	no	—
1327	D₄	—	8	4	no	—
1328	D₄	—	8	2	no	—
1329	D₄	—	8	2	no	—
1330	D₄	—	8	1	no	—
1331	D₄	—	8	1	no	—
1332	D₄	—	8	1	no	—
1333	D₄	—	8	1	no	—
1334	D₄	—	8	1	no	—
1335	D₄	—	8	1	no	—
1336	D₄	—	8	2	no	—
1337	D₄	—	16	2	no	—
1338	D₄	—	16	2	no	—
1339	D₄	—	16	2	no	—
1340	D₄	—	32	1	no	—
1341	D₄	—	32	1	no	—
1342	C₂×C₄	—	2	1	no	—
1343	C₂×C₄	—	2	2	no	—
1344	C₂×C₄	—	2	1	no	—
1345	C₂×C₄	—	2	2	no	—
1346	C₂×C₄	—	2	1	no	—
1347	C₂×C₄	—	2	2	no	—
1348	C₂×C₄	—	2	1	no	—
1349	C₂×C₄	—	2	1	no	—
1350	C₂×C₄	—	2	1	no	—
1351	C₂×C₄	—	2	1	no	—
1352	C₂×C₄	—	2	1	no	—
1353	C₂×C₄	—	4	2	no	—
1354	C₂×C₄	—	4	1	no	—
1355	C₂×C₄	—	4	1	no	—
1356	C₂×C₄	—	4	1	no	—
1357	C₂×C₄	—	4	1	no	—
1358	C₂×C₄	—	4	1	no	—
1359	C₂×C₄	—	4	1	no	—
1360	C₂×C₄	—	4	1	no	—
1361	C₂×C₄	—	4	1	no	—
1362	C₂×C₄	—	4	1	no	—
1363	C₂×C₄	—	4	1	no	—
1364	C₂×C₄	—	4	1	no	—
1365	C₂×C₄	—	4	1	no	—
1366	C₂×C₄	—	4	1	no	—
1367	C₂×C₄	—	4	1	no	—
1368	C₂×C₄	—	4	1	no	—
1369	C₂×C₄	—	4	1	no	—
1370	C₂×C₄	—	4	1	no	—
1371	C₂×C₄	—	4	1	no	—
1372	C₂×C₄	—	4	1	no	—
1373	C₂×C₄	—	4	1	no	—
1374	C₂×C₄	—	4	1	no	—
1375	C₂×C₄	—	4	1	no	—
1376	C₂×C₄	—	4	1	no	—
1377	C₂×C₄	—	8	2	no	—
1378	C₂×C₄	—	8	2	no	—
1379	C₂×C₄	—	8	2	no	—
1380	C₂×C₄	—	8	2	no	—
1381	C₂×C₄	—	8	2	no	—
1382	C₂×C₄	—	8	1	no	—
1383	C₂×C₄	—	8	1	no	—
1384	C₂×C₄	—	8	1	no	—
1385	C₂×C₄	—	8	1	no	—
1386	C₂×C₄	—	8	1	no	—
1387	C₂×C₄	—	8	1	no	—
1388	C₂×C₄	—	16	2	no	—
1389	C₂×C₄	—	16	2	no	—
1390	C₂×C₄	—	32	1	no	—
1391	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1392	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1393	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1394	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1395	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1396	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1397	C₈	—	2	2	no	—
1398	C₈	—	4	1	no	—
1399	C₈	—	4	1	no	—
1400	C₈	—	4	1	no	—
1401	C₈	—	4	1	no	—
1402	C₈	—	4	1	no	—
1403	C₈	—	4	1	no	—
1404	C₈	—	4	1	no	—
1405	C₈	—	4	1	no	—
1406	C₈	—	4	1	no	—
1407	C₈	—	4	1	no	—
1408	C₈	#546	1	1	yes	characteristic
1409	C₈	#546	1	1	yes	characteristic
1410	C₈	#546	1	1	yes	characteristic
1411	C₈	#546	1	1	yes	characteristic
1412	C₂²	—	4	1	no	—
1413	C₂²	—	4	1	no	—
1414	C₂²	—	4	1	no	—
1415	C₂²	—	4	1	no	—
1416	C₂²	—	4	1	no	—
1417	C₂²	—	4	1	no	—
1418	C₂²	—	4	1	no	—
1419	C₂²	—	4	2	no	—
1420	C₂²	—	8	1	no	—
1421	C₂²	—	8	1	no	—
1422	C₂²	—	8	2	no	—
1423	C₂²	—	8	1	no	—
1424	C₂²	—	8	1	no	—
1425	C₂²	—	8	1	no	—
1426	C₂²	—	8	1	no	—
1427	C₂²	—	8	2	no	—
1428	C₂²	—	8	1	no	—
1429	C₂²	—	16	1	no	—
1430	C₂²	—	16	1	no	—
1431	C₂²	—	16	1	no	—
1432	C₂²	—	16	1	no	—
1433	C₂²	—	32	1	no	—
1434	C₂²	—	32	1	no	—
1435	C₂²	—	32	2	no	—
1436	C₂²	#3484	1	1	yes	characteristic
1437	C₂²	#3519	1	1	yes	characteristic
1438	C₂²	#3543	1	1	yes	characteristic
1439	C₄	—	2	2	no	—
1440	C₄	—	4	1	no	—
1441	C₄	—	4	2	no	—
1442	C₄	—	4	2	no	—
1443	C₄	—	4	1	no	—
1444	C₄	—	4	1	no	—
1445	C₄	—	4	1	no	—
1446	C₄	—	4	1	no	—
1447	C₄	—	4	1	no	—
1448	C₄	—	4	1	no	—
1449	C₄	—	4	2	no	—
1450	C₄	—	8	1	no	—
1451	C₄	—	8	1	no	—
1452	C₄	—	8	1	no	—
1453	C₄	—	8	1	no	—
1454	C₄	—	8	1	no	—
1455	C₄	—	8	1	no	—
1456	C₄	—	8	1	no	—
1457	C₄	C₂×#546	1	1	yes	characteristic
1458	C₄	#3484	1	1	yes	characteristic
1459	C₄	#3519	1	1	yes	characteristic
1460	C₄	#3543	1	1	yes	characteristic
1461	C₂	—	2	1	no	—
1462	C₂	—	2	1	no	—
1463	C₂	—	2	1	no	—
1464	C₂	—	8	2	no	—
1465	C₂	—	8	1	no	—
1466	C₂	—	8	1	no	—
1467	C₂	—	8	1	no	—
1468	C₂	—	8	1	no	—
1469	C₂	—	8	1	no	—
1470	C₂	—	8	1	no	—
1471	C₂	—	16	1	no	—
1472	C₂	#44936	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂	#44936
commutator, Frattini, cosocle	C₂²×C₄	C₂⁵
LCS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂ ◁ C₂²×C₄ ◁ G
LECS	G ▷ C₂²×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #61410	C₂	semidirect
2. #61107	C₂	semidirect
3. #31421	C₂	semidirect
4. #31420	C₂	semidirect
5. #31416	C₂	semidirect
6. #31414	C₂	semidirect
7. #30442	C₂	semidirect
8. #30442	C₂	semidirect
9. #30439	C₂	semidirect
10. #30438	C₂	semidirect
11. #29270	C₂	semidirect
12. #28182	C₂	semidirect
13. #25802	C₂	semidirect
14. #25798	C₂	semidirect
15. #25446	C₂	semidirect
16. #25431	C₂	semidirect
17. #24987	C₂	semidirect
18. #24985	C₂	semidirect
19. #24474	C₂	semidirect
20. #24472	C₂	semidirect
21. #24410	C₂	semidirect
22. #24409	C₂	semidirect
23. #24001	C₂	semidirect
24. #23998	C₂	semidirect
25. #23992	C₂	semidirect
26. #23990	C₂	semidirect
27. #23833	C₂	semidirect
28. #22462	C₂	semidirect
29. #22456	C₂	semidirect
30. #22284	C₂	semidirect
31. #22284	C₂	semidirect
36. #3509	C₂²	semidirect
37. #3508	C₂²	semidirect
48. #3154	C₂²	semidirect
49. C₂×#492	C₂²	semidirect
51. #3069	C₂²	semidirect
53. #3068	C₂²	semidirect
56. C₂×#471	C₂²	semidirect
57. #3057	C₂²	semidirect
58. #3043	C₂²	semidirect
59. #3043	C₂²	semidirect
60. #3043	C₂²	semidirect
62. #3042	C₂²	semidirect
63. #3042	C₂²	semidirect
64. #3039	C₂²	semidirect
65. #3038	C₂²	semidirect
67. #3027	C₂²	semidirect
69. #3022	C₂²	semidirect
74. C₂×#456	C₂²	semidirect
75. C₂×#453	C₂²	semidirect
76. #3010	C₂²	semidirect
77. #3009	C₂²	semidirect
78. #2960	C₂²	semidirect
80. #2957	C₂²	semidirect
82. #2949	C₂²	semidirect
83. #2949	C₂²	semidirect
84. #2949	C₂²	semidirect
85. C₄×#135	C₂²	semidirect
87. #2901	C₂²	semidirect
88. #2884	C₂²	semidirect
89. #2883	C₂²	semidirect
90. #2103	C₂²	semidirect
91. #2102	C₂²	semidirect
92. #2098	C₂²	semidirect
93. #2098	C₂²	semidirect
94. #2082	C₂²	semidirect
95. #2082	C₂²	semidirect
96. #2081	C₂²	semidirect
97. #2081	C₂²	semidirect
98. #2080	C₂²	semidirect
99. #2080	C₂²	semidirect
100. #2080	C₂²	semidirect
101. #2080	C₂²	semidirect
103. #2053	C₂²	semidirect
104. #2053	C₂²	semidirect
106. #2049	C₂²	semidirect
107. #2049	C₂²	semidirect
109. #2048	C₂²	semidirect
110. #2046	C₂²	semidirect
111. #2046	C₂²	semidirect
112. #2031	C₂²	semidirect
113. #2031	C₂²	semidirect
114. #2031	C₂²	semidirect
115. #2031	C₂²	semidirect
116. #2019	C₂²	semidirect
117. #2019	C₂²	semidirect
120. #2009	C₂²	semidirect
121. #2009	C₂²	semidirect
124. #2008	C₂²	semidirect
125. #2008	C₂²	semidirect
126. #2005	C₂²	semidirect
127. #2005	C₂²	semidirect
129. #2002	C₂²	semidirect
130. #1977	C₂²	semidirect
131. #1977	C₂²	semidirect
134. #1976	C₂²	semidirect
136. #1953	C₂²	semidirect
137. #1945	C₂²	semidirect
138. #1915	C₂²	semidirect
139. #1914	C₂²	semidirect
140. #1912	C₂²	semidirect
141. #1912	C₂²	semidirect
142. #1912	C₂²	semidirect
143. #1911	C₂²	semidirect
144. #1911	C₂²	semidirect
145. #1911	C₂²	semidirect
146. #1910	C₂²	semidirect
147. #1910	C₂²	semidirect
148. #1909	C₂²	semidirect
149. #1909	C₂²	semidirect
151. #1906	C₂²	semidirect
152. #1906	C₂²	semidirect
153. #1906	C₂²	semidirect
154. #1905	C₂²	semidirect
155. #1905	C₂²	semidirect
156. #1905	C₂²	semidirect
157. #1905	C₂²	semidirect
158. #1905	C₂²	semidirect
159. #1905	C₂²	semidirect
161. #1904	C₂²	semidirect
162. #1904	C₂²	semidirect
163. #1904	C₂²	semidirect
164. #1904	C₂²	semidirect
165. #1904	C₂²	semidirect
166. #1903	C₂²	semidirect
167. #1903	C₂²	semidirect
168. #1902	C₂²	semidirect
169. #1902	C₂²	semidirect
170. #1887	C₂²	semidirect
171. #1886	C₂²	semidirect
173. #1881	C₂²	semidirect
174. #1868	C₂²	semidirect
175. #1868	C₂²	semidirect
176. #1861	C₂²	semidirect
177. #1861	C₂²	semidirect
178. #1833	C₂²	semidirect
179. #1833	C₂²	semidirect
180. #1830	C₂²	semidirect
181. #1829	C₂²	semidirect
182. #1827	C₂²	semidirect
183. #1827	C₂²	semidirect
184. #1814	C₂²	semidirect
185. #1812	C₂²	semidirect
186. #1796	C₂²	semidirect
187. #1795	C₂²	semidirect
189. #1794	C₂²	semidirect
190. #1764	C₂²	semidirect
191. #1764	C₂²	semidirect
192. #1757	C₂²	semidirect
193. #1757	C₂²	semidirect
194. #1747	C₂²	semidirect
289. #497	D₄	semidirect
292. #496	D₄	semidirect
295. #495	D₄	semidirect
300. #492	D₄	semidirect
630. C₂×Q₁₆	#41	semidirect
669. C₂×SD₁₆	#41	semidirect
670. C₂×SD₁₆	#41	semidirect
680. C₂×D₈	#41	semidirect

Maximal subgroups

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

subgroup	index
#61410	2
#61107	2
#31421	2
#31420	2
#31416	2
#31414	2
#30442	2
#30439	2
#30438	2
#29270	2
#28182	2
#25802	2
#25798	2
#25446	2
#25431	2
#24987	2
#24985	2
#24474	2
#24472	2
#24410	2
#24409	2
#24001	2
#23998	2
#23992	2
#23990	2
#23833	2
#22462	2
#22456	2
#22284	2