Subgroups — #10583359

Order 512.

6916 conjugacy classes of subgroups.

The subgroup lattice has 1478 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#63022	C₂	1	1	yes	maximal, characteristic, complemented
2	#63011	C₂	1	1	yes	maximal, characteristic, complemented
3	#62463	C₂	1	4	yes	maximal, complemented
4	#62421	C₂	1	2	yes	maximal, complemented
5	#62328	C₂	1	1	yes	maximal, characteristic, complemented
6	#62304	C₂	1	4	yes	maximal, complemented
7	#62286	C₂	1	4	yes	maximal, complemented
8	#62040	C₂	1	4	yes	maximal, complemented
9	#62035	C₂	1	4	yes	maximal, complemented
10	#62001	C₂	1	2	yes	maximal, complemented
11	#61996	C₂	1	2	yes	maximal, complemented
12	#61664	C₂	1	1	yes	maximal, characteristic, complemented
13	#61661	C₂	1	1	yes	maximal, characteristic, complemented
14	#61651	C₂	1	4	yes	maximal, complemented
15	#61644	C₂	1	4	yes	maximal, complemented
16	#61590	C₂	1	4	yes	maximal, complemented
17	#61582	C₂	1	4	yes	maximal, complemented
18	#61543	C₂	1	4	yes	maximal, complemented
19	#61449	C₂	1	2	yes	maximal, complemented
20	#61087	C₂	1	1	yes	maximal, characteristic, complemented
21	D₄×AGL(1,ℤ/8)	C₂	1	4	yes	maximal, complemented
22	#61059	C₂	1	4	yes	maximal, complemented
23	#60317	C₂	1	1	yes	maximal, characteristic, complemented
24	C₂×#577	C₂²	1	2	yes	complemented
25	C₂²×AGL(1,ℤ/8)	C₂²	1	4	yes	complemented
26	#3549	—	2	1	no	—
27	#3549	C₂²	1	1	yes	characteristic
28	#3549	C₂²	1	1	yes	characteristic, complemented
29	#3546	—	2	4	no	—
30	#3546	C₂²	1	4	yes	complemented
31	#3543	—	2	1	no	—
32	#3543	C₂²	1	4	yes	complemented
33	#3540	—	2	4	no	—
34	#3540	C₂²	1	4	yes	complemented
35	#3537	—	2	4	no	—
36	#3537	C₂²	1	4	yes	complemented
37	#3532	—	2	4	no	—
38	#3519	—	2	2	no	—
39	#3519	C₂²	1	4	yes	complemented
40	#3519	C₂²	1	4	yes	complemented
41	#3518	C₂²	1	4	yes	complemented
42	#3511	—	2	2	no	—
43	#3511	C₂²	1	2	yes	complemented
44	#3506	—	2	4	no	—
45	#3506	C₂²	1	4	yes	complemented
46	#3499	C₂²	1	1	yes	characteristic, complemented
47	#3498	C₂²	1	1	yes	characteristic
48	#3498	C₂²	1	2	yes	complemented
49	#3487	C₂²	1	4	yes	complemented
50	#3484	—	2	4	no	—
51	#3484	C₂²	1	4	yes	complemented
52	#3483	C₂²	1	2	yes	complemented
53	#3481	—	2	1	no	—
54	#3481	C₂²	1	1	yes	characteristic
55	#3481	C₂²	1	2	yes	complemented
56	D₄×#41	C₂²	1	4	yes	complemented
57	C₂×D₄²	—	2	1	no	—
58	C₂×D₄²	C₂²	1	4	yes	complemented
59	#3399	C₂²	1	2	yes	complemented
60	#3397	C₂²	1	4	yes	complemented
61	#3397	C₂²	1	4	yes	complemented
62	#3394	C₂²	1	4	yes	complemented
63	#3391	C₂²	1	4	yes	complemented
64	#3385	C₂²	1	2	yes	complemented
65	#3375	C₂²	1	2	yes	complemented
66	#3366	C₂²	1	2	yes	complemented
67	#3362	C₂²	1	4	yes	complemented
68	#3360	C₂²	1	4	yes	complemented
69	#3357	C₂²	1	2	yes	complemented
70	#3350	C₂²	1	8	yes	complemented
71	#3347	C₂²	1	4	yes	complemented
72	#3341	C₂²	1	4	yes	complemented
73	#3333	C₂²	1	2	yes	complemented
74	#3331	C₂²	1	4	yes	complemented
75	#3329	C₂²	1	4	yes	complemented
76	#3326	C₂²	1	8	yes	complemented
77	#3326	C₂²	1	8	yes	complemented
78	#3325	C₂²	1	2	yes	complemented
79	#3325	C₂²	1	4	yes	complemented
80	#3325	C₂²	1	4	yes	complemented
81	#3325	C₂²	1	4	yes	complemented
82	#3325	C₂²	1	8	yes	complemented
83	#3325	C₂²	1	4	yes	complemented
84	#3324	C₂²	1	8	yes	complemented
85	#3324	C₂²	1	8	yes	complemented
86	#3322	C₂²	1	8	yes	complemented
87	#3319	C₂²	1	4	yes	complemented
88	#3311	C₂²	1	8	yes	complemented
89	#3309	C₂²	1	4	yes	complemented
90	#3309	C₂²	1	8	yes	complemented
91	#3305	C₂²	1	4	yes	complemented
92	#3303	C₂²	1	4	yes	complemented
93	#3284	C₂²	1	4	yes	complemented
94	D₄×SD₁₆	C₂²	1	4	yes	complemented
95	D₄×SD₁₆	C₂²	1	4	yes	complemented
96	D₄×D₈	C₂²	1	4	yes	complemented
97	D₄×D₈	C₂²	1	4	yes	complemented
98	#3278	C₂²	1	4	yes	complemented
99	#3275	C₂²	1	8	yes	complemented
100	#3275	C₂²	1	8	yes	complemented
101	#3274	C₂²	1	2	yes	complemented
102	#3274	C₂²	1	4	yes	complemented
103	#3274	C₂²	1	8	yes	complemented
104	#3274	C₂²	1	8	yes	complemented
105	#3274	C₂²	1	8	yes	complemented
106	#3274	C₂²	1	4	yes	complemented
107	#3273	C₂²	1	8	yes	complemented
108	#3272	C₂²	1	4	yes	complemented
109	#3272	C₂²	1	4	yes	complemented
110	#3272	C₂²	1	4	yes	complemented
111	#3272	C₂²	1	4	yes	complemented
112	#3272	C₂²	1	4	yes	complemented
113	#3268	C₂²	1	4	yes	complemented
114	#3268	C₂²	1	8	yes	complemented
115	#3265	C₂²	1	8	yes	complemented
116	#3265	C₂²	1	8	yes	complemented
117	#3265	C₂²	1	8	yes	complemented
118	#3265	C₂²	1	8	yes	complemented
119	#3264	C₂²	1	8	yes	complemented
120	#3264	C₂²	1	8	yes	complemented
121	#3257	C₂²	1	8	yes	complemented
122	#3253	C₂²	1	2	yes	complemented
123	#3253	C₂²	1	4	yes	complemented
124	#3252	C₂²	1	4	yes	complemented
125	#3224	C₂²	1	8	yes	complemented
126	#3220	C₂²	1	8	yes	complemented
127	#3212	C₂²	1	4	yes	complemented
128	#3208	C₂²	1	4	yes	complemented
129	#3207	C₂²	1	4	yes	complemented
130	#3206	C₂²	1	2	yes	complemented
131	#3205	C₂²	1	4	yes	complemented
132	#3205	C₂²	1	2	yes	complemented
133	#3200	C₂²	1	4	yes	complemented
134	#3199	C₂²	1	4	yes	complemented
135	#3199	C₂²	1	4	yes	complemented
136	#3197	C₂²	1	8	yes	complemented
137	#3194	C₂²	1	8	yes	complemented
138	#3194	C₂²	1	8	yes	complemented
139	#3182	C₂²	1	4	yes	complemented
140	#3179	C₂²	1	8	yes	complemented
141	#3171	C₂²	1	4	yes	complemented
142	#3169	C₂²	1	2	yes	complemented
143	#3155	C₂²	1	4	yes	complemented
144	#3151	C₂²	1	4	yes	complemented
145	C₂×#492	C₂²	1	1	yes	characteristic, complemented
146	#3126	C₂²	1	8	yes	complemented
147	#3118	C₂²	1	8	yes	complemented
148	#3106	C₂²	1	2	yes	complemented
149	#3106	C₂²	1	2	yes	complemented
150	#3106	C₂²	1	4	yes	complemented
151	#3102	C₂²	1	4	yes	complemented
152	#3101	C₂²	1	4	yes	complemented
153	#3100	C₂²	1	4	yes	complemented
154	#3058	C₂²	1	4	yes	complemented
155	#3057	C₂²	1	2	yes	complemented
156	#3055	C₂²	1	8	yes	complemented
157	#3054	C₂²	1	4	yes	complemented
158	#3043	C₂²	1	4	yes	complemented
159	#3041	C₂²	1	4	yes	complemented
160	#3039	C₂²	1	1	yes	characteristic, complemented
161	#3038	C₂²	1	4	yes	complemented
162	#3038	C₂²	1	1	yes	characteristic, complemented
163	#3036	C₂²	1	4	yes	complemented
164	#3010	C₂²	1	4	yes	complemented
165	#3010	C₂²	1	2	yes	complemented
166	#3009	C₂²	1	2	yes	complemented
167	#3008	C₂²	1	4	yes	complemented
168	#3006	C₂²	1	8	yes	complemented
169	#3005	C₂²	1	4	yes	complemented
170	#3003	C₂²	1	4	yes	complemented
171	#3003	C₂²	1	8	yes	complemented
172	#2993	C₂²	1	4	yes	complemented
173	#2991	C₂²	1	2	yes	complemented
174	#2979	C₂²	1	1	yes	characteristic, complemented
175	#2978	C₂²	1	4	yes	complemented
176	#2975	C₂²	1	4	yes	complemented
177	#2969	C₂²	1	4	yes	complemented
178	#2965	C₂²	1	2	yes	complemented
179	#2949	C₂²	1	4	yes	complemented
180	C₄×AGL(1,ℤ/8)	C₂²	1	4	yes	complemented
181	C₄×#135	C₂²	1	1	yes	characteristic, complemented
182	D₄×M₁₆	C₂²	1	4	yes	complemented
183	#2931	C₂²	1	1	yes	characteristic, complemented
184	#2930	C₂²	1	4	yes	complemented
185	C₂×2₋¹⁺⁴	C₂³	1	2	yes	complemented
186	C₂×H(5,𝔽₂)	—	2	2	no	—
187	C₂×H(5,𝔽₂)	C₂³	1	2	yes	—
188	C₂²×#41	C₂³	1	4	yes	complemented
189	C₂³×D₄	—	2	4	no	—
190	C₂³×D₄	C₂³	1	4	yes	—
191	#577	—	4	8	no	—
192	C₂×#137	C₂³	1	2	yes	—
193	C₂×#137	C₂³	1	4	yes	complemented
194	C₂×AGL(1,ℤ/8)	—	4	16	no	—
195	C₂×AGL(1,ℤ/8)	C₂³	1	4	yes	—
196	C₂×AGL(1,ℤ/8)	C₂³	1	8	yes	—
197	C₂×AGL(1,ℤ/8)	C₂³	1	4	yes	—
198	C₂×AGL(1,ℤ/8)	C₂³	1	8	yes	complemented
199	C₂×AGL(1,ℤ/8)	C₂³	1	8	yes	complemented
200	C₂×AGL(1,ℤ/8)	C₂³	1	2	yes	complemented
201	C₂×AGL(1,ℤ/8)	C₂³	1	8	yes	complemented
202	C₂×AGL(1,ℤ/8)	C₂³	1	4	yes	complemented
203	C₂×AGL(1,ℤ/8)	C₂³	1	4	yes	complemented
204	C₂×#135	C₂³	1	1	yes	characteristic
205	C₂×#135	C₂³	1	4	yes	complemented
206	C₂²×SD₁₆	C₂³	1	4	yes	—
207	C₂²×SD₁₆	C₂³	1	2	yes	complemented
208	C₂²×SD₁₆	C₂³	1	4	yes	complemented
209	C₂²×SD₁₆	C₂³	1	2	yes	complemented
210	C₂²×D₈	C₂³	1	4	yes	—
211	C₂²×D₈	C₂³	1	4	yes	complemented
212	C₂×#131	C₂³	1	2	yes	complemented
213	C₂²×M₁₆	C₂³	1	4	yes	complemented
214	H(3,𝔽₄)	—	2	2	no	—
215	H(3,𝔽₄)	—	2	2	no	—
216	H(3,𝔽₄)	—	2	4	no	—
217	#560	—	2	8	no	—
218	#560	—	2	4	no	—
219	#560	—	2	4	no	—
220	#560	—	2	8	no	—
221	#560	—	2	4	no	—
222	#559	—	2	4	no	—
223	#559	—	2	8	no	—
224	#559	D₄	1	1	yes	characteristic
225	#559	C₂³	1	2	yes	—
226	Q₈²	C₂³	1	2	yes	complemented
227	#556	—	2	8	no	—
228	#556	—	2	4	no	—
229	#556	C₂³	1	4	yes	complemented
230	#556	C₂³	1	8	yes	complemented
231	#555	—	2	1	no	—
232	#555	—	2	1	no	—
233	#555	—	2	4	no	—
234	#555	—	2	2	no	—
235	#555	—	2	2	no	—
236	#555	—	2	4	no	—
237	#555	C₂³	1	4	yes	—
238	#555	C₂³	1	2	yes	—
239	#555	C₂³	1	4	yes	complemented
240	#555	C₂³	1	4	yes	complemented
241	#554	—	2	2	no	—
242	#554	D₄	1	2	yes	—
243	#554	C₂³	1	2	yes	—
244	#554	C₂³	1	2	yes	—
245	#553	—	2	4	no	—
246	#553	—	2	4	no	—
247	#553	—	2	4	no	—
248	#553	—	2	4	no	—
249	#553	—	2	4	no	—
250	#553	—	2	2	no	—
251	#553	—	2	4	no	—
252	#553	D₄	1	4	yes	—
253	#553	C₂³	1	4	yes	—
254	#553	C₂³	1	8	yes	—
255	#551	—	2	4	no	—
256	#551	—	2	4	no	—
257	#551	D₄	1	4	yes	—
258	#550	—	2	2	no	—
259	#550	—	2	8	no	—
260	#550	—	2	2	no	—
261	#550	C₂³	1	2	yes	—
262	#550	C₂³	1	4	yes	—
263	#550	C₂³	1	4	yes	—
264	#550	C₂³	1	4	yes	complemented
265	#550	C₂³	1	8	yes	complemented
266	#550	C₂³	1	2	yes	complemented
267	D₄×Q₈	C₂³	1	4	yes	complemented
268	#548	—	2	8	no	—
269	#548	C₂³	1	8	yes	complemented
270	#548	C₂³	1	8	yes	complemented
271	#547	—	2	4	no	—
272	#547	—	2	4	no	—
273	#547	C₂³	1	4	yes	—
274	#547	C₂³	1	4	yes	complemented
275	#546	—	2	2	no	—
276	#546	—	2	4	no	—
277	#546	—	2	4	no	—
278	#546	—	2	8	no	—
279	#546	—	2	4	no	—
280	#546	—	2	8	no	—
281	#546	—	2	8	no	—
282	#546	—	2	8	no	—
283	#546	D₄	1	4	yes	—
284	#546	C₂³	1	4	yes	—
285	#546	C₂³	1	8	yes	—
286	#546	C₂³	1	8	yes	complemented
287	D₄²	—	2	4	no	—
288	D₄²	—	2	4	no	—
289	D₄²	—	2	1	no	—
290	D₄²	—	2	1	no	—
291	D₄²	—	2	4	no	—
292	D₄²	—	2	8	no	—
293	D₄²	—	2	4	no	—
294	D₄²	—	2	4	no	—
295	D₄²	—	2	4	no	—
296	D₄²	—	2	2	no	—
297	D₄²	—	2	4	no	—
298	D₄²	—	2	8	no	—
299	D₄²	—	2	4	no	—
300	D₄²	—	2	4	no	—
301	D₄²	D₄	1	1	yes	characteristic
302	D₄²	C₂³	1	2	yes	—
303	D₄²	C₂³	1	8	yes	—
304	D₄²	C₂³	1	4	yes	—
305	D₄²	C₂³	1	4	yes	—
306	D₄²	C₂³	1	8	yes	—
307	D₄²	C₂³	1	4	yes	—
308	D₄²	C₂³	1	8	yes	—
309	D₄²	C₂³	1	4	yes	complemented
310	#542	—	2	8	no	—
311	#542	—	2	8	no	—
312	#542	—	2	4	no	—
313	#542	C₂³	1	8	yes	complemented
314	#540	—	2	4	no	—
315	#540	—	2	4	no	—
316	#540	C₂³	1	8	yes	—
317	#538	—	2	8	no	—
318	#538	—	2	8	no	—
319	#538	—	2	8	no	—
320	#538	—	2	8	no	—
321	#538	—	2	8	no	—
322	#538	—	2	8	no	—
323	#537	—	2	2	no	—
324	#537	—	2	4	no	—
325	#536	—	2	2	no	—
326	#536	C₂³	1	2	yes	complemented
327	#535	—	2	4	no	—
328	#535	—	2	4	no	—
329	#535	—	2	2	no	—
330	#535	—	2	4	no	—
331	#535	—	2	4	no	—
332	#535	—	2	4	no	—
333	#535	—	2	4	no	—
334	#535	—	2	4	no	—
335	#535	—	2	4	no	—
336	#535	—	2	2	no	—
337	#535	C₂³	1	4	yes	—
338	#535	C₂³	1	2	yes	—
339	#535	C₂³	1	4	yes	—
340	#535	C₂³	1	4	yes	complemented
341	#535	C₂³	1	4	yes	complemented
342	#534	—	2	8	no	—
343	#534	—	2	4	no	—
344	#534	—	2	4	no	—
345	#534	—	2	8	no	—
346	#533	—	2	4	no	—
347	#533	C₂³	1	4	yes	complemented
348	#532	—	2	1	no	—
349	#532	—	2	1	no	—
350	#532	—	2	4	no	—
351	#532	—	2	4	no	—
352	#532	—	2	2	no	—
353	#532	C₂³	1	2	yes	—
354	#532	C₂³	1	4	yes	—
355	#532	C₂³	1	1	yes	characteristic
356	#532	C₂³	1	4	yes	complemented
357	#532	C₂³	1	4	yes	complemented
358	#532	C₂³	1	2	yes	complemented
359	C₂×C₄⋊Q₈	—	2	1	no	—
360	C₂×C₄⋊Q₈	C₂³	1	1	yes	characteristic, complemented
361	C₂×#127	—	2	1	no	—
362	C₂×#127	C₂³	1	1	yes	characteristic
363	C₂×#127	C₂³	1	4	yes	—
364	#529	—	2	4	no	—
365	#529	—	2	2	no	—
366	#529	C₂³	1	4	yes	—
367	#529	C₂³	1	4	yes	—
368	#525	—	2	4	no	—
369	#525	—	2	4	no	—
370	#525	—	2	4	no	—
371	#525	—	2	8	no	—
372	#525	—	2	4	no	—
373	#525	C₂³	1	4	yes	—
374	#525	C₂³	1	4	yes	—
375	#525	C₂³	1	4	yes	complemented
376	#525	C₂³	1	8	yes	complemented
377	C₂×#121	—	2	4	no	—
378	C₂×#121	—	2	4	no	—
379	C₂×#121	C₂³	1	8	yes	—
380	C₂×#120	—	2	4	no	—
381	C₂×#120	—	2	4	no	—
382	C₂×#120	—	2	8	no	—
383	#520	—	2	2	no	—
384	#520	—	2	4	no	—
385	#519	C₂³	1	4	yes	complemented
386	#518	—	2	4	no	—
387	#518	C₂³	1	4	yes	—
388	C₄×#41	—	2	2	no	—
389	C₄×#41	C₂³	1	1	yes	characteristic
390	C₄×#41	C₂³	1	2	yes	—
391	C₄×#41	C₂³	1	4	yes	complemented
392	C₄×#41	C₂³	1	1	yes	characteristic, complemented
393	C₂×C₄×D₄	—	2	2	no	—
394	C₂×C₄×D₄	—	2	4	no	—
395	C₂×C₄×D₄	C₂³	1	4	yes	—
396	C₂×C₄×D₄	C₂³	1	4	yes	—
397	#501	C₂³	1	4	yes	complemented
398	#500	C₂³	1	2	yes	complemented
399	#496	C₂³	1	8	yes	complemented
400	#496	C₂³	1	8	yes	complemented
401	#496	C₂³	1	4	yes	complemented
402	#495	C₂³	1	8	yes	complemented
403	#493	C₂³	1	2	yes	—
404	#493	C₂³	1	4	yes	complemented
405	#493	C₂³	1	8	yes	complemented
406	#492	C₂³	1	4	yes	—
407	#492	C₂³	1	4	yes	complemented
408	#492	C₂³	1	4	yes	complemented
409	#490	C₂³	1	4	yes	complemented
410	#489	C₂³	1	4	yes	complemented
411	#488	C₂³	1	8	yes	complemented
412	#487	C₂³	1	4	yes	complemented
413	#486	C₂³	1	2	yes	—
414	#486	C₂³	1	2	yes	complemented
415	#486	C₂³	1	8	yes	complemented
416	#486	C₂³	1	4	yes	complemented
417	#485	C₂³	1	8	yes	complemented
418	#485	C₂³	1	4	yes	complemented
419	#483	C₂³	1	8	yes	complemented
420	#482	C₂³	1	4	yes	—
421	#482	C₂³	1	8	yes	complemented
422	#482	C₂³	1	8	yes	complemented
423	#482	C₂³	1	4	yes	complemented
424	#482	C₂³	1	4	yes	complemented
425	#482	C₂³	1	8	yes	complemented
426	#482	C₂³	1	8	yes	complemented
427	#480	C₂³	1	4	yes	complemented
428	#480	C₂³	1	4	yes	complemented
429	#479	C₂³	1	8	yes	complemented
430	#479	C₂³	1	4	yes	complemented
431	#478	C₂³	1	4	yes	complemented
432	#477	C₂³	1	2	yes	complemented
433	#477	C₂³	1	2	yes	complemented
434	#476	C₂³	1	2	yes	—
435	#476	C₂³	1	4	yes	complemented
436	#476	C₂³	1	4	yes	complemented
437	#476	C₂³	1	8	yes	complemented
438	#476	C₂³	1	2	yes	complemented
439	#474	C₂³	1	4	yes	—
440	#474	C₂³	1	4	yes	complemented
441	#470	C₂³	1	8	yes	complemented
442	#469	C₂³	1	4	yes	—
443	#469	C₂³	1	4	yes	—
444	#469	C₂³	1	8	yes	complemented
445	#469	C₂³	1	8	yes	complemented
446	#469	C₂³	1	8	yes	complemented
447	#469	C₂³	1	8	yes	complemented
448	#469	C₂³	1	8	yes	complemented
449	#468	C₂³	1	8	yes	—
450	#468	C₂³	1	8	yes	complemented
451	#468	C₂³	1	4	yes	complemented
452	#468	C₂³	1	8	yes	complemented
453	#468	C₂³	1	4	yes	complemented
454	#468	C₂³	1	8	yes	complemented
455	#468	C₂³	1	8	yes	complemented
456	#466	C₂³	1	8	yes	complemented
457	#466	C₂³	1	4	yes	complemented
458	#466	C₂³	1	4	yes	complemented
459	#466	C₂³	1	8	yes	complemented
460	#465	C₂³	1	8	yes	complemented
461	#465	C₂³	1	8	yes	complemented
462	#464	C₂³	1	4	yes	complemented
463	#464	C₂³	1	8	yes	complemented
464	#463	C₂³	1	8	yes	—
465	#463	C₂³	1	4	yes	complemented
466	#463	C₂³	1	8	yes	complemented
467	#463	C₂³	1	8	yes	complemented
468	#463	C₂³	1	8	yes	complemented
469	#462	C₂³	1	4	yes	complemented
470	#461	C₂³	1	4	yes	—
471	#461	C₂³	1	4	yes	complemented
472	#461	C₂³	1	4	yes	complemented
473	#460	C₂³	1	2	yes	—
474	#460	C₂³	1	2	yes	complemented
475	#460	C₂³	1	4	yes	complemented
476	#460	C₂³	1	8	yes	complemented
477	#460	C₂³	1	8	yes	complemented
478	#460	C₂³	1	8	yes	complemented
479	#459	C₂³	1	4	yes	—
480	#459	C₂³	1	2	yes	—
481	#459	C₂³	1	2	yes	—
482	#459	C₂³	1	4	yes	—
483	#459	C₂³	1	4	yes	complemented
484	#459	C₂³	1	4	yes	complemented
485	#459	C₂³	1	4	yes	complemented
486	#459	C₂³	1	4	yes	complemented
487	#459	C₂³	1	8	yes	complemented
488	#459	C₂³	1	8	yes	complemented
489	#459	C₂³	1	4	yes	complemented
490	#452	C₂³	1	8	yes	complemented
491	#452	C₂³	1	4	yes	complemented
492	#452	C₂³	1	8	yes	complemented
493	#450	C₂³	1	8	yes	—
494	#450	C₂³	1	8	yes	—
495	#450	C₂³	1	8	yes	complemented
496	#450	C₂³	1	8	yes	complemented
497	#450	C₂³	1	8	yes	complemented
498	#449	C₂³	1	4	yes	—
499	#449	C₂³	1	4	yes	—
500	#449	C₂³	1	8	yes	—
501	#449	C₂³	1	8	yes	complemented
502	#449	C₂³	1	4	yes	complemented
503	#449	C₂³	1	8	yes	complemented
504	#449	C₂³	1	8	yes	complemented
505	#449	C₂³	1	8	yes	complemented
506	#449	C₂³	1	8	yes	complemented
507	#449	C₂³	1	8	yes	complemented
508	#448	C₂³	1	8	yes	complemented
509	#448	C₂³	1	8	yes	complemented
510	#448	C₂³	1	8	yes	complemented
511	#447	C₂³	1	4	yes	—
512	#447	C₂³	1	4	yes	—
513	#447	C₂³	1	8	yes	—
514	#447	C₂³	1	8	yes	complemented
515	#447	C₂³	1	8	yes	complemented
516	#447	C₂³	1	8	yes	complemented
517	#447	C₂³	1	8	yes	complemented
518	#447	C₂³	1	8	yes	complemented
519	#447	C₂³	1	8	yes	complemented
520	#446	C₂³	1	2	yes	complemented
521	#446	C₂³	1	2	yes	complemented
522	C₈×Q₈	C₂³	1	4	yes	complemented
523	#442	C₂³	1	4	yes	—
524	#442	C₂³	1	4	yes	complemented
525	#440	C₂³	1	4	yes	—
526	#440	C₂³	1	8	yes	complemented
527	#440	C₂³	1	8	yes	complemented
528	#440	C₂³	1	4	yes	complemented
529	C₄×Q₁₆	C₂³	1	2	yes	complemented
530	C₄×SD₁₆	C₂³	1	8	yes	—
531	C₄×SD₁₆	C₂³	1	2	yes	—
532	C₄×SD₁₆	C₂³	1	4	yes	complemented
533	C₄×SD₁₆	C₂³	1	4	yes	complemented
534	C₄×SD₁₆	C₂³	1	8	yes	complemented
535	C₄×SD₁₆	C₂³	1	2	yes	complemented
536	C₄×SD₁₆	C₂³	1	8	yes	complemented
537	C₄×D₈	C₂³	1	2	yes	—
538	C₄×D₈	C₂³	1	4	yes	—
539	C₄×D₈	C₂³	1	4	yes	complemented
540	C₄×D₈	C₂³	1	4	yes	complemented
541	C₄×D₈	C₂³	1	4	yes	complemented
542	C₄×D₈	C₂³	1	8	yes	complemented
543	#436	C₂³	1	4	yes	—
544	#436	C₂³	1	2	yes	—
545	#436	C₂³	1	2	yes	—
546	#436	C₂³	1	4	yes	complemented
547	#436	C₂³	1	8	yes	complemented
548	#436	C₂³	1	8	yes	complemented
549	#436	C₂³	1	4	yes	complemented
550	#436	C₂³	1	8	yes	complemented
551	#435	C₂³	1	4	yes	complemented
552	#435	C₂³	1	8	yes	complemented
553	#435	C₂³	1	8	yes	complemented
554	#435	C₂³	1	4	yes	complemented
555	C₈×D₄	C₂³	1	4	yes	complemented
556	C₈×D₄	C₂³	1	4	yes	complemented
557	#433	C₂³	1	8	yes	complemented
558	#431	C₂³	1	4	yes	complemented
559	#431	C₂³	1	4	yes	complemented
560	#431	C₂³	1	2	yes	complemented
561	#428	C₂³	1	4	yes	complemented
562	#427	C₂³	1	4	yes	complemented
563	#427	C₂³	1	1	yes	characteristic, complemented
564	#424	C₂³	1	4	yes	complemented
565	#423	C₂³	1	1	yes	characteristic, complemented
566	#423	C₂³	1	4	yes	complemented
567	#419	C₂³	1	4	yes	complemented
568	#419	C₂³	1	2	yes	complemented
569	#418	C₂³	1	4	yes	—
570	#418	C₂³	1	4	yes	—
571	#418	C₂³	1	8	yes	complemented
572	#418	C₂³	1	4	yes	complemented
573	#418	C₂³	1	4	yes	complemented
574	#418	C₂³	1	2	yes	complemented
575	#417	C₂³	1	8	yes	complemented
576	#417	C₂³	1	4	yes	complemented
577	#416	C₂³	1	1	yes	characteristic
578	#416	C₂³	1	1	yes	characteristic, complemented
579	#416	C₂³	1	4	yes	complemented
580	#416	C₂³	1	4	yes	complemented
581	#408	C₂³	1	4	yes	complemented
582	#408	C₂³	1	2	yes	complemented
583	#407	C₂³	1	4	yes	complemented
584	#407	C₂³	1	8	yes	complemented
585	#405	C₂³	1	4	yes	complemented
586	C₄×M₁₆	C₂³	1	4	yes	complemented
587	C₂×C₄×C₈	C₂³	1	1	yes	characteristic, complemented
588	C₂⁵	—	2	4	no	—
589	2₋¹⁺⁴	—	4	4	no	—
590	2₋¹⁺⁴	—	8	2	no	—
591	H(5,𝔽₂)	—	4	4	no	—
592	H(5,𝔽₂)	—	8	2	no	—
593	H(5,𝔽₂)	—	8	8	no	—
594	C₂×#41	—	2	2	no	—
595	C₂×#41	—	2	4	no	—
596	C₂×#41	—	2	2	no	—
597	C₂×#41	—	2	2	no	—
598	C₂×#41	—	2	4	no	—
599	C₂×#41	—	2	4	no	—
600	C₂×#41	—	2	2	no	—
601	C₂×#41	—	2	2	no	—
602	C₂×#41	—	2	8	no	—
603	C₂×#41	—	2	4	no	—
604	C₂×#41	—	4	8	no	—
605	C₂×#41	—	8	4	no	—
606	C₂×#41	C₂×D₄	1	2	yes	—
607	C₂×#41	C₂⁴	1	1	yes	characteristic
608	C₂×#41	C₂⁴	1	4	yes	—
609	C₂×#41	C₂⁴	1	1	yes	characteristic
610	C₂×#41	C₂⁴	1	4	yes	—
611	C₂×#41	C₂⁴	1	8	yes	—
612	C₂×#41	C₂⁴	1	4	yes	—
613	C₂×#41	C₂⁴	1	2	yes	—
614	C₂²×Q₈	—	2	2	no	—
615	C₂²×Q₈	C₂⁴	1	4	yes	—
616	C₂²×Q₈	C₂⁴	1	2	yes	—
617	C₂²×D₄	—	2	8	no	—
618	C₂²×D₄	—	2	4	no	—
619	C₂²×D₄	—	2	2	no	—
620	C₂²×D₄	—	2	4	no	—
621	C₂²×D₄	—	2	4	no	—
622	C₂²×D₄	—	2	2	no	—
623	C₂²×D₄	—	2	8	no	—
624	C₂²×D₄	—	2	4	no	—
625	C₂²×D₄	—	2	8	no	—
626	C₂²×D₄	—	2	4	no	—
627	C₂²×D₄	—	2	8	no	—
628	C₂²×D₄	—	2	4	no	—
629	C₂²×D₄	—	2	4	no	—
630	C₂²×D₄	—	2	8	no	—
631	C₂²×D₄	—	2	4	no	—
632	C₂²×D₄	—	2	2	no	—
633	C₂²×D₄	—	2	4	no	—
634	C₂²×D₄	—	4	8	no	—
635	C₂²×D₄	—	8	4	no	—
636	C₂²×D₄	—	8	16	no	—
637	C₂²×D₄	C₂×D₄	1	4	yes	—
638	C₂²×D₄	C₂⁴	1	4	yes	—
639	C₂²×D₄	C₂⁴	1	4	yes	—
640	C₂²×D₄	C₂⁴	1	8	yes	—
641	C₂²×D₄	C₂⁴	1	2	yes	—
642	C₂²×D₄	C₂⁴	1	4	yes	—
643	C₂²×D₄	C₂⁴	1	4	yes	—
644	C₂³×C₄	—	2	4	no	—
645	C₂³×C₄	—	2	4	no	—
646	C₂³×C₄	C₂⁴	1	4	yes	—
647	#137	—	4	4	no	—
648	#137	—	4	8	no	—
649	AGL(1,ℤ/8)	—	2	16	no	—
650	AGL(1,ℤ/8)	—	4	16	no	—
651	AGL(1,ℤ/8)	—	4	16	no	—
652	AGL(1,ℤ/8)	—	4	8	no	—
653	AGL(1,ℤ/8)	—	4	16	no	—
654	AGL(1,ℤ/8)	—	4	4	no	—
655	AGL(1,ℤ/8)	—	8	8	no	—
656	AGL(1,ℤ/8)	—	8	4	no	—
657	AGL(1,ℤ/8)	—	8	4	no	—
658	#135	—	2	4	no	—
659	#135	—	4	8	no	—
660	C₂×Q₁₆	C₂⁴	1	1	yes	characteristic
661	C₂×Q₁₆	C₂⁴	1	4	yes	—
662	C₂×SD₁₆	—	2	16	no	—
663	C₂×SD₁₆	—	4	4	no	—
664	C₂×SD₁₆	—	4	8	no	—
665	C₂×SD₁₆	—	8	2	no	—
666	C₂×SD₁₆	C₂⁴	1	4	yes	—
667	C₂×SD₁₆	C₂⁴	1	4	yes	—
668	C₂×SD₁₆	C₂⁴	1	4	yes	—
669	C₂×SD₁₆	C₂⁴	1	4	yes	—
670	C₂×SD₁₆	C₂⁴	1	1	yes	characteristic
671	C₂×SD₁₆	C₂⁴	1	8	yes	—
672	C₂×SD₁₆	C₂⁴	1	4	yes	—
673	C₂×SD₁₆	C₂⁴	1	8	yes	—
674	C₂×SD₁₆	C₂⁴	1	8	yes	—
675	C₂×SD₁₆	C₂⁴	1	4	yes	—
676	C₂×SD₁₆	C₂⁴	1	1	yes	characteristic
677	C₂×D₈	—	4	8	no	—
678	C₂×D₈	—	4	8	no	—
679	C₂×D₈	C₂⁴	1	4	yes	—
680	C₂×D₈	C₂⁴	1	4	yes	—
681	C₂×D₈	C₂⁴	1	1	yes	characteristic
682	C₂×D₈	C₂⁴	1	8	yes	—
683	C₂×D₈	C₂⁴	1	8	yes	—
684	C₂×D₈	C₂⁴	1	4	yes	—
685	C₂×D₈	C₂⁴	1	4	yes	—
686	C₂×D₈	C₂⁴	1	8	yes	—
687	C₂×D₈	C₂⁴	1	4	yes	—
688	#131	—	4	4	no	—
689	C₂×M₁₆	—	4	8	no	—
690	C₂×M₁₆	C₂⁴	1	4	yes	—
691	C₂×M₁₆	C₂⁴	1	8	yes	—
692	C₂×M₁₆	C₂⁴	1	4	yes	—
693	C₂×M₁₆	C₂⁴	1	2	yes	—
694	C₂×M₁₆	C₂⁴	1	4	yes	—
695	C₂×M₁₆	C₂⁴	1	4	yes	—
696	C₂²×C₈	C₂⁴	1	4	yes	—
697	C₂²×C₈	C₂⁴	1	1	yes	characteristic
698	C₂²×C₈	C₂⁴	1	4	yes	—
699	C₂²×C₈	C₂⁴	1	1	yes	characteristic
700	C₄⋊Q₈	—	2	2	no	—
701	C₄⋊Q₈	—	2	4	no	—
702	C₄⋊Q₈	—	2	2	no	—
703	C₄⋊Q₈	—	2	4	no	—
704	C₄⋊Q₈	—	2	1	no	—
705	C₄⋊Q₈	—	2	1	no	—
706	C₄⋊Q₈	C₂×D₄	1	1	yes	characteristic
707	C₄⋊Q₈	C₂⁴	1	4	yes	—
708	C₄⋊Q₈	C₂⁴	1	2	yes	—
709	C₄⋊Q₈	C₂⁴	1	2	yes	—
710	C₄⋊Q₈	C₂⁴	1	4	yes	—
711	#127	—	2	2	no	—
712	#127	—	2	4	no	—
713	#127	—	2	2	no	—
714	#127	—	2	4	no	—
715	#127	—	2	8	no	—
716	#127	—	2	4	no	—
717	#127	—	2	4	no	—
718	#127	—	2	1	no	—
719	#127	—	2	1	no	—
720	#127	—	2	4	no	—
721	#127	—	2	4	no	—
722	#127	C₂×D₄	1	1	yes	characteristic
723	#127	C₂⁴	1	2	yes	—
724	#127	C₂⁴	1	4	yes	—
725	#127	C₂⁴	1	8	yes	—
726	#127	C₂⁴	1	2	yes	—
727	#127	C₂⁴	1	4	yes	—
728	#126	—	2	4	no	—
729	#126	—	2	8	no	—
730	#126	—	2	8	no	—
731	#126	—	2	8	no	—
732	#126	—	2	8	no	—
733	#126	—	2	8	no	—
734	#126	—	2	4	no	—
735	#126	C₂×D₄	1	8	yes	—
736	#125	—	2	2	no	—
737	#125	—	2	4	no	—
738	#125	C₂×D₄	1	4	yes	—
739	#125	C₂⁴	1	4	yes	—
740	#124	—	2	2	no	—
741	#124	—	2	2	no	—
742	#124	—	2	4	no	—
743	#124	—	2	4	no	—
744	#124	—	2	2	no	—
745	#124	—	2	8	no	—
746	#124	—	2	8	no	—
747	#124	—	2	4	no	—
748	#124	—	2	4	no	—
749	#124	—	2	4	no	—
750	#124	—	2	8	no	—
751	#124	—	2	8	no	—
752	#124	—	2	8	no	—
753	#124	—	2	8	no	—
754	#124	—	2	4	no	—
755	#124	—	2	2	no	—
756	#124	—	2	4	no	—
757	#124	—	2	2	no	—
758	#124	C₂×D₄	1	4	yes	—
759	#124	C₂×D₄	1	2	yes	—
760	#124	C₂⁴	1	4	yes	—
761	#124	C₂⁴	1	8	yes	—
762	#123	—	2	4	no	—
763	#123	—	2	4	no	—
764	#123	—	2	4	no	—
765	#123	—	2	8	no	—
766	#123	—	2	4	no	—
767	#123	—	2	8	no	—
768	#123	—	2	4	no	—
769	#123	—	2	8	no	—
770	#123	—	2	4	no	—
771	#123	—	2	8	no	—
772	#123	—	2	8	no	—
773	#123	—	2	4	no	—
774	#123	—	2	8	no	—
775	#123	—	2	8	no	—
776	#123	—	2	8	no	—
777	#123	—	2	8	no	—
778	#123	C₂×D₄	1	4	yes	—
779	#123	C₂×D₄	1	4	yes	—
780	#123	C₂×D₄	1	8	yes	—
781	C₂²⋊Q₈	—	2	2	no	—
782	C₂²⋊Q₈	—	2	4	no	—
783	C₂²⋊Q₈	—	2	4	no	—
784	C₂²⋊Q₈	—	2	8	no	—
785	C₂²⋊Q₈	—	2	4	no	—
786	C₂²⋊Q₈	—	2	8	no	—
787	C₂²⋊Q₈	—	2	8	no	—
788	C₂²⋊Q₈	—	2	8	no	—
789	C₂²⋊Q₈	—	2	4	no	—
790	C₂²⋊Q₈	C₂×D₄	1	4	yes	—
791	C₂²⋊Q₈	C₂×D₄	1	8	yes	—
792	C₂²⋊Q₈	C₂⁴	1	4	yes	—
793	C₂²⋊Q₈	C₂⁴	1	8	yes	—
794	C₂²⋊Q₈	C₂⁴	1	8	yes	—
795	#121	—	2	8	no	—
796	#121	—	2	4	no	—
797	#121	—	2	4	no	—
798	#121	—	2	8	no	—
799	#121	—	2	4	no	—
800	#121	—	2	4	no	—
801	#121	—	2	2	no	—
802	#121	—	2	4	no	—
803	#121	—	2	4	no	—
804	#121	—	2	8	no	—
805	#121	—	2	4	no	—
806	#121	—	2	8	no	—
807	#121	—	2	8	no	—
808	#121	—	2	2	no	—
809	#121	—	2	2	no	—
810	#121	—	2	4	no	—
811	#121	—	2	4	no	—
812	#121	—	2	4	no	—
813	#121	—	2	2	no	—
814	#121	—	2	4	no	—
815	#121	—	2	8	no	—
816	#121	—	2	4	no	—
817	#121	—	2	4	no	—
818	#121	—	2	4	no	—
819	#121	—	2	8	no	—
820	#121	—	2	2	no	—
821	#121	—	2	4	no	—
822	#121	—	2	4	no	—
823	#121	—	2	8	no	—
824	#121	—	2	8	no	—
825	#121	—	2	8	no	—
826	#121	—	2	8	no	—
827	#121	—	2	8	no	—
828	#121	—	2	4	no	—
829	#121	—	2	4	no	—
830	#121	—	2	4	no	—
831	#121	—	2	8	no	—
832	#121	—	2	4	no	—
833	#121	—	2	8	no	—
834	#121	—	2	8	no	—
835	#121	—	2	8	no	—
836	#121	—	2	8	no	—
837	#121	—	2	8	no	—
838	#121	C₂×D₄	1	4	yes	—
839	#121	C₂×D₄	1	8	yes	—
840	#121	C₂×D₄	1	4	yes	—
841	#121	C₂⁴	1	4	yes	—
842	#121	C₂⁴	1	8	yes	—
843	#121	C₂⁴	1	8	yes	—
844	#121	C₂⁴	1	8	yes	—
845	#121	C₂⁴	1	4	yes	—
846	#121	C₂⁴	1	4	yes	—
847	#121	C₂⁴	1	8	yes	—
848	#121	C₂⁴	1	4	yes	—
849	#121	C₂⁴	1	4	yes	—
850	#120	—	2	4	no	—
851	#120	—	2	4	no	—
852	#120	—	2	8	no	—
853	#120	—	2	4	no	—
854	#120	—	2	4	no	—
855	#120	—	2	4	no	—
856	#120	—	2	8	no	—
857	#120	—	2	4	no	—
858	#120	—	2	4	no	—
859	#120	—	2	8	no	—
860	#120	—	2	4	no	—
861	#120	—	2	4	no	—
862	#120	—	2	8	no	—
863	#120	—	2	4	no	—
864	#120	—	2	8	no	—
865	#120	—	2	8	no	—
866	#120	—	2	4	no	—
867	#120	—	2	8	no	—
868	#120	—	2	8	no	—
869	#120	—	2	8	no	—
870	#120	—	2	8	no	—
871	#120	—	2	8	no	—
872	#120	—	2	4	no	—
873	#120	—	2	4	no	—
874	#120	—	2	8	no	—
875	#120	—	2	8	no	—
876	#120	C₂×D₄	1	4	yes	—
877	#120	C₂×D₄	1	4	yes	—
878	C₄×Q₈	—	2	2	no	—
879	C₄×Q₈	—	2	8	no	—
880	C₄×Q₈	—	2	8	no	—
881	C₄×Q₈	—	2	4	no	—
882	C₄×Q₈	C₂×D₄	1	2	yes	—
883	C₄×Q₈	C₂⁴	1	2	yes	—
884	C₄×Q₈	C₂⁴	1	2	yes	—
885	C₄×Q₈	C₂⁴	1	4	yes	—
886	C₄×Q₈	C₂⁴	1	8	yes	—
887	C₄×Q₈	C₂⁴	1	2	yes	—
888	C₄×D₄	—	2	2	no	—
889	C₄×D₄	—	2	4	no	—
890	C₄×D₄	—	2	8	no	—
891	C₄×D₄	—	2	4	no	—
892	C₄×D₄	—	2	2	no	—
893	C₄×D₄	—	2	4	no	—
894	C₄×D₄	—	2	2	no	—
895	C₄×D₄	—	2	4	no	—
896	C₄×D₄	—	2	8	no	—
897	C₄×D₄	—	2	8	no	—
898	C₄×D₄	—	2	8	no	—
899	C₄×D₄	—	2	2	no	—
900	C₄×D₄	—	2	2	no	—
901	C₄×D₄	—	2	4	no	—
902	C₄×D₄	—	2	4	no	—
903	C₄×D₄	—	2	8	no	—
904	C₄×D₄	—	2	8	no	—
905	C₄×D₄	—	2	8	no	—
906	C₄×D₄	—	2	4	no	—
907	C₄×D₄	—	2	8	no	—
908	C₄×D₄	—	2	8	no	—
909	C₄×D₄	—	2	2	no	—
910	C₄×D₄	—	2	4	no	—
911	C₄×D₄	—	2	4	no	—
912	C₄×D₄	—	2	4	no	—
913	C₄×D₄	—	2	2	no	—
914	C₄×D₄	—	2	4	no	—
915	C₄×D₄	—	2	4	no	—
916	C₄×D₄	—	2	4	no	—
917	C₄×D₄	C₂×D₄	1	4	yes	—
918	C₄×D₄	C₂×D₄	1	2	yes	—
919	C₄×D₄	C₂×D₄	1	4	yes	—
920	C₄×D₄	C₂×D₄	1	8	yes	—
921	C₄×D₄	C₂×D₄	1	4	yes	—
922	C₄×D₄	C₂⁴	1	2	yes	—
923	C₄×D₄	C₂⁴	1	4	yes	—
924	C₄×D₄	C₂⁴	1	4	yes	—
925	C₄×D₄	C₂⁴	1	4	yes	—
926	C₄×D₄	C₂⁴	1	4	yes	—
927	C₄×D₄	C₂⁴	1	2	yes	—
928	C₄×D₄	C₂⁴	1	4	yes	—
929	C₄×D₄	C₂⁴	1	8	yes	—
930	C₄×D₄	C₂⁴	1	2	yes	—
931	C₄×D₄	C₂⁴	1	8	yes	—
932	C₄×D₄	C₂⁴	1	4	yes	—
933	C₄×D₄	C₂⁴	1	4	yes	—
934	#117	—	2	4	no	—
935	#117	—	2	2	no	—
936	#117	—	2	4	no	—
937	#117	—	2	4	no	—
938	#117	—	2	4	no	—
939	#117	—	2	4	no	—
940	#117	—	2	4	no	—
941	#117	—	2	4	no	—
942	#117	—	2	1	no	—
943	#117	—	2	4	no	—
944	#117	—	2	1	no	—
945	#117	—	2	4	no	—
946	#117	C₂×D₄	1	2	yes	—
947	#117	C₂×D₄	1	4	yes	—
948	#117	C₂⁴	1	1	yes	characteristic
949	#117	C₂⁴	1	4	yes	—
950	#117	C₂⁴	1	1	yes	characteristic
951	#117	C₂⁴	1	4	yes	—
952	#117	C₂⁴	1	4	yes	—
953	#117	C₂⁴	1	4	yes	—
954	C₂×C₄⋊C₄	—	2	2	no	—
955	C₂×C₄⋊C₄	—	2	4	no	—
956	C₂×C₄⋊C₄	—	2	2	no	—
957	C₂×C₄⋊C₄	—	2	4	no	—
958	C₂×C₄⋊C₄	C₂×D₄	1	4	yes	—
959	C₂×C₄⋊C₄	C₂⁴	1	4	yes	—
960	C₂×C₂²⋊C₄	—	2	4	no	—
961	C₂×C₂²⋊C₄	—	2	8	no	—
962	C₂×C₂²⋊C₄	—	2	4	no	—
963	C₂×C₂²⋊C₄	—	2	8	no	—
964	C₂×C₂²⋊C₄	—	2	8	no	—
965	C₂×C₂²⋊C₄	—	2	4	no	—
966	C₂×C₂²⋊C₄	—	2	4	no	—
967	C₂×C₂²⋊C₄	C₂×D₄	1	8	yes	—
968	C₂×C₄²	—	2	1	no	—
969	C₂×C₄²	—	2	4	no	—
970	C₂×C₄²	—	2	1	no	—
971	C₂×C₄²	C₂⁴	1	4	yes	—
972	C₂×C₄²	C₂⁴	1	1	yes	characteristic
973	#107	C₂⁴	1	4	yes	—
974	#107	C₂⁴	1	2	yes	—
975	#107	C₂⁴	1	4	yes	—
976	#107	C₂⁴	1	4	yes	—
977	#107	C₂⁴	1	4	yes	—
978	#106	C₂⁴	1	2	yes	—
979	#106	C₂⁴	1	8	yes	—
980	#106	C₂⁴	1	4	yes	—
981	#106	C₂⁴	1	4	yes	—
982	C₄⋊C₈	C₂⁴	1	2	yes	—
983	C₄⋊C₈	C₂⁴	1	4	yes	—
984	C₄⋊C₈	C₂⁴	1	8	yes	—
985	C₄⋊C₈	C₂⁴	1	4	yes	—
986	C₄⋊C₈	C₂⁴	1	2	yes	—
987	C₄⋊C₈	C₂⁴	1	4	yes	—
988	#103	C₂⁴	1	2	yes	—
989	#103	C₂⁴	1	4	yes	—
990	#103	C₂⁴	1	2	yes	—
991	#103	C₂⁴	1	8	yes	—
992	#103	C₂⁴	1	4	yes	—
993	#103	C₂⁴	1	8	yes	—
994	#103	C₂⁴	1	8	yes	—
995	#102	C₂⁴	1	2	yes	—
996	#102	C₂⁴	1	4	yes	—
997	#102	C₂⁴	1	8	yes	—
998	#102	C₂⁴	1	2	yes	—
999	#102	C₂⁴	1	4	yes	—
1000	#102	C₂⁴	1	8	yes	—
1001	#102	C₂⁴	1	4	yes	—
1002	#102	C₂⁴	1	4	yes	—
1003	#102	C₂⁴	1	4	yes	—
1004	#102	C₂⁴	1	4	yes	—
1005	#102	C₂⁴	1	8	yes	—
1006	#102	C₂⁴	1	4	yes	—
1007	#102	C₂⁴	1	4	yes	—
1008	#102	C₂⁴	1	4	yes	—
1009	#102	C₂⁴	1	8	yes	—
1010	#102	C₂⁴	1	4	yes	—
1011	#102	C₂⁴	1	8	yes	—
1012	C₂²⋊C₈	C₂⁴	1	4	yes	—
1013	C₂²⋊C₈	C₂⁴	1	4	yes	—
1014	C₂²⋊C₈	C₂⁴	1	8	yes	—
1015	C₂²⋊C₈	C₂⁴	1	8	yes	—
1016	C₂²⋊C₈	C₂⁴	1	8	yes	—
1017	C₂²⋊C₈	C₂⁴	1	4	yes	—
1018	#97	C₂⁴	1	4	yes	—
1019	#97	C₂⁴	1	4	yes	—
1020	C₄×C₈	C₂⁴	1	2	yes	—
1021	C₄×C₈	C₂⁴	1	2	yes	—
1022	C₄×C₈	C₂⁴	1	4	yes	—
1023	C₄×C₈	C₂⁴	1	8	yes	—
1024	C₂⁴	—	2	4	no	—
1025	C₂⁴	—	2	4	no	—
1026	C₂⁴	—	2	8	no	—
1027	C₂⁴	—	2	4	no	—
1028	C₂⁴	—	2	4	no	—
1029	C₂⁴	—	2	2	no	—
1030	C₂⁴	—	8	8	no	—
1031	C₂⁴	—	8	16	no	—
1032	C₂⁴	C₂²×D₄	1	4	yes	—
1033	#41	—	2	2	no	—
1034	#41	—	2	8	no	—
1035	#41	—	2	2	no	—
1036	#41	—	4	2	no	—
1037	#41	—	4	2	no	—
1038	#41	—	4	4	no	—
1039	#41	—	4	4	no	—
1040	#41	—	4	1	no	—
1041	#41	—	4	1	no	—
1042	#41	—	4	4	no	—
1043	#41	—	4	4	no	—
1044	#41	—	4	8	no	—
1045	#41	—	4	8	no	—
1046	#41	—	4	4	no	—
1047	#41	—	4	4	no	—
1048	#41	—	8	8	no	—
1049	#41	—	8	4	no	—
1050	#41	—	8	4	no	—
1051	#41	—	8	4	no	—
1052	#41	—	8	16	no	—
1053	#41	—	8	4	no	—
1054	#41	—	8	8	no	—
1055	#41	—	8	8	no	—
1056	#41	—	8	4	no	—
1057	#41	—	8	8	no	—
1058	C₂×Q₈	—	2	4	no	—
1059	C₂×Q₈	—	2	2	no	—
1060	C₂×Q₈	—	2	4	no	—
1061	C₂×Q₈	—	2	2	no	—
1062	C₂×Q₈	—	2	2	no	—
1063	C₂×Q₈	—	2	8	no	—
1064	C₂×Q₈	—	4	4	no	—
1065	C₂×Q₈	—	4	2	no	—
1066	C₂×Q₈	—	4	2	no	—
1067	C₂×Q₈	—	8	4	no	—
1068	C₂×Q₈	C₂²×D₄	1	2	yes	—
1069	C₂×Q₈	C₂²×D₄	1	2	yes	—
1070	C₂×Q₈	C₂⁵	1	1	yes	characteristic
1071	C₂×Q₈	C₂⁵	1	4	yes	—
1072	C₂×Q₈	C₂⁵	1	1	yes	characteristic
1073	C₂×D₄	—	2	8	no	—
1074	C₂×D₄	—	2	8	no	—
1075	C₂×D₄	—	2	1	no	—
1076	C₂×D₄	—	2	8	no	—
1077	C₂×D₄	—	2	4	no	—
1078	C₂×D₄	—	2	4	no	—
1079	C₂×D₄	—	2	1	no	—
1080	C₂×D₄	—	2	4	no	—
1081	C₂×D₄	—	2	8	no	—
1082	C₂×D₄	—	2	4	no	—
1083	C₂×D₄	—	2	4	no	—
1084	C₂×D₄	—	2	4	no	—
1085	C₂×D₄	—	2	4	no	—
1086	C₂×D₄	—	2	8	no	—
1087	C₂×D₄	—	2	8	no	—
1088	C₂×D₄	—	2	4	no	—
1089	C₂×D₄	—	2	8	no	—
1090	C₂×D₄	—	2	2	no	—
1091	C₂×D₄	—	2	4	no	—
1092	C₂×D₄	—	2	4	no	—
1093	C₂×D₄	—	2	2	no	—
1094	C₂×D₄	—	2	4	no	—
1095	C₂×D₄	—	2	2	no	—
1096	C₂×D₄	—	2	4	no	—
1097	C₂×D₄	—	2	4	no	—
1098	C₂×D₄	—	2	2	no	—
1099	C₂×D₄	—	2	8	no	—
1100	C₂×D₄	—	2	4	no	—
1101	C₂×D₄	—	2	2	no	—
1102	C₂×D₄	—	2	4	no	—
1103	C₂×D₄	—	2	8	no	—
1104	C₂×D₄	—	2	8	no	—
1105	C₂×D₄	—	2	4	no	—
1106	C₂×D₄	—	4	8	no	—
1107	C₂×D₄	—	4	4	no	—
1108	C₂×D₄	—	4	4	no	—
1109	C₂×D₄	—	4	4	no	—
1110	C₂×D₄	—	4	4	no	—
1111	C₂×D₄	—	4	2	no	—
1112	C₂×D₄	—	4	2	no	—
1113	C₂×D₄	—	4	8	no	—
1114	C₂×D₄	—	4	8	no	—
1115	C₂×D₄	—	4	4	no	—
1116	C₂×D₄	—	4	4	no	—
1117	C₂×D₄	—	4	8	no	—
1118	C₂×D₄	—	4	16	no	—
1119	C₂×D₄	—	8	8	no	—
1120	C₂×D₄	—	8	4	no	—
1121	C₂×D₄	—	8	8	no	—
1122	C₂×D₄	—	8	8	no	—
1123	C₂×D₄	—	8	8	no	—
1124	C₂×D₄	—	8	8	no	—
1125	C₂×D₄	—	8	16	no	—
1126	C₂×D₄	—	8	8	no	—
1127	C₂×D₄	—	8	4	no	—
1128	C₂×D₄	—	8	8	no	—
1129	C₂×D₄	—	8	8	no	—
1130	C₂×D₄	—	8	16	no	—
1131	C₂×D₄	—	8	16	no	—
1132	C₂×D₄	—	8	16	no	—
1133	C₂×D₄	—	8	16	no	—
1134	C₂×D₄	C₂²×D₄	1	2	yes	—
1135	C₂×D₄	C₂²×D₄	1	4	yes	—
1136	C₂×D₄	C₂²×D₄	1	8	yes	—
1137	C₂×D₄	C₂²×D₄	1	4	yes	—
1138	C₂×D₄	C₂²×D₄	1	2	yes	—
1139	C₂×D₄	C₂²×D₄	1	4	yes	—
1140	C₂×D₄	C₂⁵	1	4	yes	—
1141	C₂×D₄	C₂⁵	1	4	yes	—
1142	C₂×D₄	C₂⁵	1	1	yes	characteristic
1143	C₂×D₄	C₂⁵	1	4	yes	—
1144	C₂×D₄	C₂⁵	1	1	yes	characteristic
1145	C₂²×C₄	—	2	4	no	—
1146	C₂²×C₄	—	2	4	no	—
1147	C₂²×C₄	—	2	2	no	—
1148	C₂²×C₄	—	2	1	no	—
1149	C₂²×C₄	—	2	2	no	—
1150	C₂²×C₄	—	2	4	no	—
1151	C₂²×C₄	—	2	2	no	—
1152	C₂²×C₄	—	2	1	no	—
1153	C₂²×C₄	—	2	4	no	—
1154	C₂²×C₄	—	2	4	no	—
1155	C₂²×C₄	—	2	4	no	—
1156	C₂²×C₄	—	2	4	no	—
1157	C₂²×C₄	—	2	4	no	—
1158	C₂²×C₄	—	2	8	no	—
1159	C₂²×C₄	—	2	8	no	—
1160	C₂²×C₄	—	2	4	no	—
1161	C₂²×C₄	—	2	4	no	—
1162	C₂²×C₄	—	4	4	no	—
1163	C₂²×C₄	—	4	4	no	—
1164	C₂²×C₄	—	8	8	no	—
1165	C₂²×C₄	—	8	8	no	—
1166	C₂²×C₄	C₂²×D₄	1	2	yes	—
1167	C₂²×C₄	C₂²×D₄	1	4	yes	—
1168	C₂²×C₄	C₂²×D₄	1	4	yes	—
1169	C₂²×C₄	C₂²×D₄	1	8	yes	—
1170	C₂²×C₄	C₂²×D₄	1	4	yes	—
1171	C₂²×C₄	C₂⁵	1	4	yes	—
1172	C₂²×C₄	C₂⁵	1	1	yes	characteristic
1173	C₂²×C₄	C₂⁵	1	4	yes	—
1174	Q₁₆	—	2	2	no	—
1175	Q₁₆	—	4	4	no	—
1176	SD₁₆	—	2	8	no	—
1177	SD₁₆	—	2	8	no	—
1178	SD₁₆	—	2	8	no	—
1179	SD₁₆	—	2	8	no	—
1180	SD₁₆	—	2	2	no	—
1181	SD₁₆	—	4	8	no	—
1182	SD₁₆	—	4	4	no	—
1183	SD₁₆	—	4	8	no	—
1184	SD₁₆	—	4	4	no	—
1185	SD₁₆	—	4	8	no	—
1186	SD₁₆	H(5,𝔽₂)	1	4	yes	complemented
1187	D₈	—	2	8	no	—
1188	D₈	—	2	2	no	—
1189	D₈	—	2	8	no	—
1190	D₈	—	4	8	no	—
1191	D₈	—	4	8	no	—
1192	D₈	—	4	4	no	—
1193	D₈	—	4	4	no	—
1194	D₈	—	4	4	no	—
1195	D₈	—	4	8	no	—
1196	M₁₆	—	2	8	no	—
1197	M₁₆	—	4	8	no	—
1198	M₁₆	—	4	4	no	—
1199	M₁₆	—	4	2	no	—
1200	M₁₆	—	4	4	no	—
1201	M₁₆	—	4	4	no	—
1202	C₂×C₈	—	2	8	no	—
1203	C₂×C₈	—	2	2	no	—
1204	C₂×C₈	—	4	4	no	—
1205	C₂×C₈	—	4	1	no	—
1206	C₂×C₈	C₂⁵	1	4	yes	—
1207	C₂×C₈	C₂⁵	1	2	yes	—
1208	C₂×C₈	C₂⁵	1	1	yes	characteristic
1209	C₂×C₈	C₂⁵	1	4	yes	—
1210	C₂×C₈	C₂⁵	1	4	yes	—
1211	C₂×C₈	C₂⁵	1	1	yes	characteristic
1212	C₄⋊C₄	—	2	4	no	—
1213	C₄⋊C₄	—	2	2	no	—
1214	C₄⋊C₄	—	2	8	no	—
1215	C₄⋊C₄	—	2	4	no	—
1216	C₄⋊C₄	—	2	4	no	—
1217	C₄⋊C₄	—	2	8	no	—
1218	C₄⋊C₄	—	2	4	no	—
1219	C₄⋊C₄	—	2	2	no	—
1220	C₄⋊C₄	—	2	2	no	—
1221	C₄⋊C₄	—	2	4	no	—
1222	C₄⋊C₄	—	2	4	no	—
1223	C₄⋊C₄	—	2	4	no	—
1224	C₄⋊C₄	—	2	4	no	—
1225	C₄⋊C₄	—	2	2	no	—
1226	C₄⋊C₄	—	2	8	no	—
1227	C₄⋊C₄	C₂²×D₄	1	2	yes	—
1228	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1229	C₄⋊C₄	C₂²×D₄	1	2	yes	—
1230	C₄⋊C₄	C₂²×D₄	1	8	yes	—
1231	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1232	C₄⋊C₄	C₂²×D₄	1	4	yes	—
1233	C₄⋊C₄	C₂²×D₄	1	8	yes	—
1234	C₄⋊C₄	C₂⁵	1	2	yes	—
1235	C₄⋊C₄	C₂⁵	1	4	yes	—
1236	C₄⋊C₄	C₂⁵	1	2	yes	—
1237	C₄⋊C₄	C₂⁵	1	4	yes	—
1238	C₂²⋊C₄	—	2	4	no	—
1239	C₂²⋊C₄	—	2	4	no	—
1240	C₂²⋊C₄	—	2	8	no	—
1241	C₂²⋊C₄	—	2	4	no	—
1242	C₂²⋊C₄	—	2	8	no	—
1243	C₂²⋊C₄	—	2	1	no	—
1244	C₂²⋊C₄	—	2	4	no	—
1245	C₂²⋊C₄	—	2	1	no	—
1246	C₂²⋊C₄	—	2	4	no	—
1247	C₂²⋊C₄	—	2	4	no	—
1248	C₂²⋊C₄	—	2	2	no	—
1249	C₂²⋊C₄	—	2	4	no	—
1250	C₂²⋊C₄	—	2	4	no	—
1251	C₂²⋊C₄	—	2	8	no	—
1252	C₂²⋊C₄	—	2	4	no	—
1253	C₂²⋊C₄	—	2	4	no	—
1254	C₂²⋊C₄	—	2	8	no	—
1255	C₂²⋊C₄	—	2	8	no	—
1256	C₂²⋊C₄	—	2	8	no	—
1257	C₂²⋊C₄	—	2	4	no	—
1258	C₂²⋊C₄	—	2	4	no	—
1259	C₂²⋊C₄	—	2	8	no	—
1260	C₂²⋊C₄	—	2	4	no	—
1261	C₂²⋊C₄	—	2	8	no	—
1262	C₂²⋊C₄	—	2	8	no	—
1263	C₂²⋊C₄	—	2	4	no	—
1264	C₂²⋊C₄	—	2	4	no	—
1265	C₂²⋊C₄	—	2	4	no	—
1266	C₂²⋊C₄	—	2	2	no	—
1267	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1268	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1269	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1270	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1271	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1272	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1273	C₂²⋊C₄	C₂²×D₄	1	8	yes	—
1274	C₂²⋊C₄	C₂²×D₄	1	4	yes	—
1275	C₄²	—	2	2	no	—
1276	C₄²	—	2	1	no	—
1277	C₄²	—	2	4	no	—
1278	C₄²	—	2	2	no	—
1279	C₄²	—	2	4	no	—
1280	C₄²	—	2	1	no	—
1281	C₄²	—	2	8	no	—
1282	C₄²	—	2	4	no	—
1283	C₄²	—	2	4	no	—
1284	C₄²	C₂²×D₄	1	1	yes	characteristic
1285	C₄²	C₂²×D₄	1	4	yes	—
1286	C₄²	C₂²×D₄	1	1	yes	characteristic
1287	C₄²	C₂²×D₄	1	4	yes	—
1288	C₄²	C₂⁵	1	2	yes	—
1289	C₄²	C₂⁵	1	4	yes	—
1290	C₂³	—	2	1	no	—
1291	C₂³	—	2	4	no	—
1292	C₂³	—	2	4	no	—
1293	C₂³	—	2	1	no	—
1294	C₂³	—	2	4	no	—
1295	C₂³	—	4	4	no	—
1296	C₂³	—	4	8	no	—
1297	C₂³	—	4	8	no	—
1298	C₂³	—	4	8	no	—
1299	C₂³	—	4	8	no	—
1300	C₂³	—	4	16	no	—
1301	C₂³	—	8	4	no	—
1302	C₂³	—	8	4	no	—
1303	C₂³	—	8	4	no	—
1304	C₂³	—	8	8	no	—
1305	C₂³	—	8	8	no	—
1306	C₂³	—	8	8	no	—
1307	C₂³	—	8	8	no	—
1308	C₂³	—	8	8	no	—
1309	C₂³	—	8	2	no	—
1310	C₂³	—	8	4	no	—
1311	C₂³	—	16	32	no	—
1312	C₂³	C₂³×D₄	1	4	yes	—
1313	C₂³	C₂³×D₄	1	4	yes	—
1314	C₂³	C₂³×D₄	1	1	yes	characteristic
1315	Q₈	—	2	4	no	—
1316	Q₈	—	2	1	no	—
1317	Q₈	—	2	4	no	—
1318	Q₈	—	2	1	no	—
1319	Q₈	—	2	4	no	—
1320	Q₈	—	2	1	no	—
1321	Q₈	—	4	2	no	—
1322	Q₈	—	4	8	no	—
1323	Q₈	—	8	2	no	—
1324	Q₈	—	8	2	no	—
1325	Q₈	—	8	4	no	—
1326	Q₈	—	8	2	no	—
1327	Q₈	C₂×H(5,𝔽₂)	1	2	yes	—
1328	D₄	—	2	4	no	—
1329	D₄	—	2	8	no	—
1330	D₄	—	2	4	no	—
1331	D₄	—	2	1	no	—
1332	D₄	—	2	4	no	—
1333	D₄	—	2	4	no	—
1334	D₄	—	2	1	no	—
1335	D₄	—	2	1	no	—
1336	D₄	—	2	4	no	—
1337	D₄	—	2	4	no	—
1338	D₄	—	2	4	no	—
1339	D₄	—	4	8	no	—
1340	D₄	—	4	4	no	—
1341	D₄	—	4	2	no	—
1342	D₄	—	4	4	no	—
1343	D₄	—	4	8	no	—
1344	D₄	—	4	8	no	—
1345	D₄	—	4	8	no	—
1346	D₄	—	4	2	no	—
1347	D₄	—	4	2	no	—
1348	D₄	—	4	8	no	—
1349	D₄	—	4	16	no	—
1350	D₄	—	4	4	no	—
1351	D₄	—	4	8	no	—
1352	D₄	—	4	4	no	—
1353	D₄	—	8	8	no	—
1354	D₄	—	8	4	no	—
1355	D₄	—	8	2	no	—
1356	D₄	—	8	4	no	—
1357	D₄	—	8	8	no	—
1358	D₄	—	8	2	no	—
1359	D₄	—	8	4	no	—
1360	D₄	—	8	8	no	—
1361	D₄	—	8	2	no	—
1362	D₄	—	8	4	no	—
1363	D₄	—	8	4	no	—
1364	D₄	—	8	8	no	—
1365	D₄	—	8	8	no	—
1366	D₄	—	8	8	no	—
1367	D₄	—	8	4	no	—
1368	D₄	—	8	4	no	—
1369	D₄	—	8	8	no	—
1370	D₄	—	8	4	no	—
1371	D₄	—	8	4	no	—
1372	D₄	—	8	4	no	—
1373	D₄	—	8	4	no	—
1374	D₄	C₂×H(5,𝔽₂)	1	2	yes	—
1375	C₂×C₄	—	2	1	no	—
1376	C₂×C₄	—	2	8	no	—
1377	C₂×C₄	—	2	4	no	—
1378	C₂×C₄	—	2	4	no	—
1379	C₂×C₄	—	2	1	no	—
1380	C₂×C₄	—	2	4	no	—
1381	C₂×C₄	—	2	1	no	—
1382	C₂×C₄	—	2	4	no	—
1383	C₂×C₄	—	2	4	no	—
1384	C₂×C₄	—	2	4	no	—
1385	C₂×C₄	—	2	2	no	—
1386	C₂×C₄	—	2	1	no	—
1387	C₂×C₄	—	2	4	no	—
1388	C₂×C₄	—	2	2	no	—
1389	C₂×C₄	—	2	4	no	—
1390	C₂×C₄	—	4	4	no	—
1391	C₂×C₄	—	4	8	no	—
1392	C₂×C₄	—	4	4	no	—
1393	C₂×C₄	—	4	8	no	—
1394	C₂×C₄	—	4	2	no	—
1395	C₂×C₄	—	4	8	no	—
1396	C₂×C₄	—	4	2	no	—
1397	C₂×C₄	—	4	4	no	—
1398	C₂×C₄	—	4	8	no	—
1399	C₂×C₄	—	4	8	no	—
1400	C₂×C₄	—	4	4	no	—
1401	C₂×C₄	—	8	4	no	—
1402	C₂×C₄	—	8	4	no	—
1403	C₂×C₄	—	8	8	no	—
1404	C₂×C₄	—	8	4	no	—
1405	C₂×C₄	—	8	8	no	—
1406	C₂×C₄	—	8	4	no	—
1407	C₂×C₄	—	8	4	no	—
1408	C₂×C₄	—	8	4	no	—
1409	C₂×C₄	—	8	2	no	—
1410	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1411	C₂×C₄	C₂³×D₄	1	4	yes	—
1412	C₂×C₄	C₂³×D₄	1	4	yes	—
1413	C₂×C₄	C₂³×D₄	1	4	yes	—
1414	C₂×C₄	C₂³×D₄	1	4	yes	—
1415	C₂×C₄	C₂³×D₄	1	2	yes	—
1416	C₂×C₄	C₂³×D₄	1	2	yes	—
1417	C₂×C₄	C₂⁶	1	1	yes	characteristic
1418	C₈	—	2	1	no	—
1419	C₈	—	2	4	no	—
1420	C₈	—	2	4	no	—
1421	C₈	—	2	2	no	—
1422	C₈	—	2	4	no	—
1423	C₈	C₂×H(5,𝔽₂)	1	2	yes	—
1424	C₂²	—	2	4	no	—
1425	C₂²	—	2	4	no	—
1426	C₂²	—	2	1	no	—
1427	C₂²	—	2	2	no	—
1428	C₂²	—	2	4	no	—
1429	C₂²	—	2	2	no	—
1430	C₂²	—	2	4	no	—
1431	C₂²	—	2	8	no	—
1432	C₂²	—	4	2	no	—
1433	C₂²	—	4	1	no	—
1434	C₂²	—	4	4	no	—
1435	C₂²	—	4	4	no	—
1436	C₂²	—	4	4	no	—
1437	C₂²	—	4	4	no	—
1438	C₂²	—	4	2	no	—
1439	C₂²	—	4	4	no	—
1440	C₂²	—	4	8	no	—
1441	C₂²	—	4	4	no	—
1442	C₂²	—	4	4	no	—
1443	C₂²	—	8	8	no	—
1444	C₂²	—	8	16	no	—
1445	C₂²	—	16	8	no	—
1446	C₂²	—	16	16	no	—
1447	C₂²	—	16	8	no	—
1448	C₂²	—	16	8	no	—
1449	C₂²	—	32	2	no	—
1450	C₂²	C₂⁴×D₄	1	1	yes	characteristic
1451	C₄	—	2	4	no	—
1452	C₄	—	2	1	no	—
1453	C₄	—	2	4	no	—
1454	C₄	—	2	2	no	—
1455	C₄	—	2	2	no	—
1456	C₄	—	2	4	no	—
1457	C₄	—	2	4	no	—
1458	C₄	—	4	1	no	—
1459	C₄	—	4	4	no	—
1460	C₄	—	4	2	no	—
1461	C₄	—	4	4	no	—
1462	C₄	—	4	2	no	—
1463	C₄	—	4	4	no	—
1464	C₄	#3585	1	4	yes	—
1465	C₄	C₂²×H(5,𝔽₂)	1	1	yes	characteristic
1466	C₄	H(7,𝔽₂)	1	1	yes	characteristic
1467	C₂	—	4	4	no	—
1468	C₂	—	4	4	no	—
1469	C₂	—	4	1	no	—
1470	C₂	—	4	2	no	—
1471	C₂	—	8	1	no	—
1472	C₂	—	8	4	no	—
1473	C₂	—	8	4	no	—
1474	C₂	—	8	4	no	—
1475	C₂	D₄×H(5,𝔽₂)	1	1	yes	characteristic
1476	C₂	C₂×#3585	1	2	yes	—

	subgroup	G/H
center, socle	C₂²	C₂⁴×D₄
commutator, Frattini, cosocle	C₂×C₄	C₂⁶
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂² ◁ #3481 ◁ G
LECS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #63022	C₂	semidirect
2. #63011	C₂	semidirect
3. #62463	C₂	semidirect
4. #62421	C₂	semidirect
5. #62328	C₂	semidirect
6. #62304	C₂	semidirect
7. #62286	C₂	semidirect
8. #62040	C₂	semidirect
9. #62035	C₂	semidirect
10. #62001	C₂	semidirect
11. #61996	C₂	semidirect
12. #61664	C₂	semidirect
13. #61661	C₂	semidirect
14. #61651	C₂	semidirect
15. #61644	C₂	semidirect
16. #61590	C₂	semidirect
17. #61582	C₂	semidirect
18. #61543	C₂	semidirect
19. #61449	C₂	semidirect
20. #61087	C₂	semidirect
21. D₄×AGL(1,ℤ/8)	C₂	semidirect
22. #61059	C₂	semidirect
23. #60317	C₂	semidirect
24. C₂×#577	C₂²	semidirect
25. C₂²×AGL(1,ℤ/8)	C₂²	semidirect
28. #3549	C₂²	semidirect
30. #3546	C₂²	semidirect
32. #3543	C₂²	semidirect
34. #3540	C₂²	semidirect
36. #3537	C₂²	semidirect
39. #3519	C₂²	semidirect
40. #3519	C₂²	semidirect
41. #3518	C₂²	semidirect
43. #3511	C₂²	semidirect
45. #3506	C₂²	semidirect
46. #3499	C₂²	semidirect
48. #3498	C₂²	semidirect
49. #3487	C₂²	semidirect
51. #3484	C₂²	semidirect
52. #3483	C₂²	semidirect
55. #3481	C₂²	semidirect
56. D₄×#41	C₂²	semidirect
58. C₂×D₄²	C₂²	semidirect
59. #3399	C₂²	semidirect
60. #3397	C₂²	semidirect
61. #3397	C₂²	semidirect
62. #3394	C₂²	semidirect
63. #3391	C₂²	semidirect
64. #3385	C₂²	semidirect
65. #3375	C₂²	semidirect
66. #3366	C₂²	semidirect
67. #3362	C₂²	semidirect
68. #3360	C₂²	semidirect
69. #3357	C₂²	semidirect
70. #3350	C₂²	semidirect
71. #3347	C₂²	semidirect
72. #3341	C₂²	semidirect
73. #3333	C₂²	semidirect
74. #3331	C₂²	semidirect
75. #3329	C₂²	semidirect
76. #3326	C₂²	semidirect
77. #3326	C₂²	semidirect
78. #3325	C₂²	semidirect
79. #3325	C₂²	semidirect
80. #3325	C₂²	semidirect
81. #3325	C₂²	semidirect
82. #3325	C₂²	semidirect
83. #3325	C₂²	semidirect
84. #3324	C₂²	semidirect
85. #3324	C₂²	semidirect
86. #3322	C₂²	semidirect
87. #3319	C₂²	semidirect
88. #3311	C₂²	semidirect
89. #3309	C₂²	semidirect
90. #3309	C₂²	semidirect
91. #3305	C₂²	semidirect
92. #3303	C₂²	semidirect
93. #3284	C₂²	semidirect
94. D₄×SD₁₆	C₂²	semidirect
95. D₄×SD₁₆	C₂²	semidirect
96. D₄×D₈	C₂²	semidirect
97. D₄×D₈	C₂²	semidirect
98. #3278	C₂²	semidirect
99. #3275	C₂²	semidirect
100. #3275	C₂²	semidirect
101. #3274	C₂²	semidirect
102. #3274	C₂²	semidirect
103. #3274	C₂²	semidirect
104. #3274	C₂²	semidirect
105. #3274	C₂²	semidirect
106. #3274	C₂²	semidirect
107. #3273	C₂²	semidirect
108. #3272	C₂²	semidirect
109. #3272	C₂²	semidirect
110. #3272	C₂²	semidirect
111. #3272	C₂²	semidirect
112. #3272	C₂²	semidirect
113. #3268	C₂²	semidirect
114. #3268	C₂²	semidirect
115. #3265	C₂²	semidirect
116. #3265	C₂²	semidirect
117. #3265	C₂²	semidirect
118. #3265	C₂²	semidirect
119. #3264	C₂²	semidirect
120. #3264	C₂²	semidirect
121. #3257	C₂²	semidirect
122. #3253	C₂²	semidirect
123. #3253	C₂²	semidirect
124. #3252	C₂²	semidirect
125. #3224	C₂²	semidirect
126. #3220	C₂²	semidirect
127. #3212	C₂²	semidirect
128. #3208	C₂²	semidirect
129. #3207	C₂²	semidirect
130. #3206	C₂²	semidirect
131. #3205	C₂²	semidirect
132. #3205	C₂²	semidirect
133. #3200	C₂²	semidirect
134. #3199	C₂²	semidirect
135. #3199	C₂²	semidirect
136. #3197	C₂²	semidirect
137. #3194	C₂²	semidirect
138. #3194	C₂²	semidirect
139. #3182	C₂²	semidirect
140. #3179	C₂²	semidirect
141. #3171	C₂²	semidirect
142. #3169	C₂²	semidirect
143. #3155	C₂²	semidirect
144. #3151	C₂²	semidirect
145. C₂×#492	C₂²	semidirect
146. #3126	C₂²	semidirect
147. #3118	C₂²	semidirect
148. #3106	C₂²	semidirect
149. #3106	C₂²	semidirect
150. #3106	C₂²	semidirect
151. #3102	C₂²	semidirect
152. #3101	C₂²	semidirect
153. #3100	C₂²	semidirect
154. #3058	C₂²	semidirect
155. #3057	C₂²	semidirect
156. #3055	C₂²	semidirect
157. #3054	C₂²	semidirect
158. #3043	C₂²	semidirect
159. #3041	C₂²	semidirect
160. #3039	C₂²	semidirect
161. #3038	C₂²	semidirect
162. #3038	C₂²	semidirect
163. #3036	C₂²	semidirect
164. #3010	C₂²	semidirect
165. #3010	C₂²	semidirect
166. #3009	C₂²	semidirect
167. #3008	C₂²	semidirect
168. #3006	C₂²	semidirect
169. #3005	C₂²	semidirect
170. #3003	C₂²	semidirect
171. #3003	C₂²	semidirect
172. #2993	C₂²	semidirect
173. #2991	C₂²	semidirect
174. #2979	C₂²	semidirect
175. #2978	C₂²	semidirect
176. #2975	C₂²	semidirect
177. #2969	C₂²	semidirect
178. #2965	C₂²	semidirect
179. #2949	C₂²	semidirect
180. C₄×AGL(1,ℤ/8)	C₂²	semidirect
181. C₄×#135	C₂²	semidirect
182. D₄×M₁₆	C₂²	semidirect
183. #2931	C₂²	semidirect
184. #2930	C₂²	semidirect
185. C₂×2₋¹⁺⁴	C₂³	semidirect
188. C₂²×#41	C₂³	semidirect
193. C₂×#137	C₂³	semidirect
198. C₂×AGL(1,ℤ/8)	C₂³	semidirect
199. C₂×AGL(1,ℤ/8)	C₂³	semidirect
200. C₂×AGL(1,ℤ/8)	C₂³	semidirect
201. C₂×AGL(1,ℤ/8)	C₂³	semidirect
202. C₂×AGL(1,ℤ/8)	C₂³	semidirect
203. C₂×AGL(1,ℤ/8)	C₂³	semidirect
205. C₂×#135	C₂³	semidirect
207. C₂²×SD₁₆	C₂³	semidirect
208. C₂²×SD₁₆	C₂³	semidirect
209. C₂²×SD₁₆	C₂³	semidirect
211. C₂²×D₈	C₂³	semidirect
212. C₂×#131	C₂³	semidirect
213. C₂²×M₁₆	C₂³	semidirect
226. Q₈²	C₂³	semidirect
229. #556	C₂³	semidirect
230. #556	C₂³	semidirect
239. #555	C₂³	semidirect
240. #555	C₂³	semidirect
264. #550	C₂³	semidirect
265. #550	C₂³	semidirect
266. #550	C₂³	semidirect
267. D₄×Q₈	C₂³	semidirect
269. #548	C₂³	semidirect
270. #548	C₂³	semidirect
274. #547	C₂³	semidirect
286. #546	C₂³	semidirect
309. D₄²	C₂³	semidirect
313. #542	C₂³	semidirect
326. #536	C₂³	semidirect
340. #535	C₂³	semidirect
341. #535	C₂³	semidirect
347. #533	C₂³	semidirect
356. #532	C₂³	semidirect
357. #532	C₂³	semidirect
358. #532	C₂³	semidirect
360. C₂×C₄⋊Q₈	C₂³	semidirect
375. #525	C₂³	semidirect
376. #525	C₂³	semidirect
385. #519	C₂³	semidirect
391. C₄×#41	C₂³	semidirect
392. C₄×#41	C₂³	semidirect
397. #501	C₂³	semidirect
398. #500	C₂³	semidirect
399. #496	C₂³	semidirect
400. #496	C₂³	semidirect
401. #496	C₂³	semidirect
402. #495	C₂³	semidirect
404. #493	C₂³	semidirect
405. #493	C₂³	semidirect
407. #492	C₂³	semidirect
408. #492	C₂³	semidirect
409. #490	C₂³	semidirect
410. #489	C₂³	semidirect
411. #488	C₂³	semidirect
412. #487	C₂³	semidirect
414. #486	C₂³	semidirect
415. #486	C₂³	semidirect
416. #486	C₂³	semidirect
417. #485	C₂³	semidirect
418. #485	C₂³	semidirect
419. #483	C₂³	semidirect
421. #482	C₂³	semidirect
422. #482	C₂³	semidirect
423. #482	C₂³	semidirect
424. #482	C₂³	semidirect
425. #482	C₂³	semidirect
426. #482	C₂³	semidirect
427. #480	C₂³	semidirect
428. #480	C₂³	semidirect
429. #479	C₂³	semidirect
430. #479	C₂³	semidirect
431. #478	C₂³	semidirect
432. #477	C₂³	semidirect
433. #477	C₂³	semidirect
435. #476	C₂³	semidirect
436. #476	C₂³	semidirect
437. #476	C₂³	semidirect
438. #476	C₂³	semidirect
440. #474	C₂³	semidirect
441. #470	C₂³	semidirect
444. #469	C₂³	semidirect
445. #469	C₂³	semidirect
446. #469	C₂³	semidirect
447. #469	C₂³	semidirect
448. #469	C₂³	semidirect
450. #468	C₂³	semidirect
451. #468	C₂³	semidirect
452. #468	C₂³	semidirect
453. #468	C₂³	semidirect
454. #468	C₂³	semidirect
455. #468	C₂³	semidirect
456. #466	C₂³	semidirect
457. #466	C₂³	semidirect
458. #466	C₂³	semidirect
459. #466	C₂³	semidirect
460. #465	C₂³	semidirect
461. #465	C₂³	semidirect
462. #464	C₂³	semidirect
463. #464	C₂³	semidirect
465. #463	C₂³	semidirect
466. #463	C₂³	semidirect
467. #463	C₂³	semidirect
468. #463	C₂³	semidirect
469. #462	C₂³	semidirect
471. #461	C₂³	semidirect
472. #461	C₂³	semidirect
474. #460	C₂³	semidirect
475. #460	C₂³	semidirect
476. #460	C₂³	semidirect
477. #460	C₂³	semidirect
478. #460	C₂³	semidirect
483. #459	C₂³	semidirect
484. #459	C₂³	semidirect
485. #459	C₂³	semidirect
486. #459	C₂³	semidirect
487. #459	C₂³	semidirect
488. #459	C₂³	semidirect
489. #459	C₂³	semidirect
490. #452	C₂³	semidirect
491. #452	C₂³	semidirect
492. #452	C₂³	semidirect
495. #450	C₂³	semidirect
496. #450	C₂³	semidirect
497. #450	C₂³	semidirect
501. #449	C₂³	semidirect
502. #449	C₂³	semidirect
503. #449	C₂³	semidirect
504. #449	C₂³	semidirect
505. #449	C₂³	semidirect
506. #449	C₂³	semidirect
507. #449	C₂³	semidirect
508. #448	C₂³	semidirect
509. #448	C₂³	semidirect
510. #448	C₂³	semidirect
514. #447	C₂³	semidirect
515. #447	C₂³	semidirect
516. #447	C₂³	semidirect
517. #447	C₂³	semidirect
518. #447	C₂³	semidirect
519. #447	C₂³	semidirect
520. #446	C₂³	semidirect
521. #446	C₂³	semidirect
522. C₈×Q₈	C₂³	semidirect
524. #442	C₂³	semidirect
526. #440	C₂³	semidirect
527. #440	C₂³	semidirect
528. #440	C₂³	semidirect
529. C₄×Q₁₆	C₂³	semidirect
532. C₄×SD₁₆	C₂³	semidirect
533. C₄×SD₁₆	C₂³	semidirect
534. C₄×SD₁₆	C₂³	semidirect
535. C₄×SD₁₆	C₂³	semidirect
536. C₄×SD₁₆	C₂³	semidirect
539. C₄×D₈	C₂³	semidirect
540. C₄×D₈	C₂³	semidirect
541. C₄×D₈	C₂³	semidirect
542. C₄×D₈	C₂³	semidirect
546. #436	C₂³	semidirect
547. #436	C₂³	semidirect
548. #436	C₂³	semidirect
549. #436	C₂³	semidirect
550. #436	C₂³	semidirect
551. #435	C₂³	semidirect
552. #435	C₂³	semidirect
553. #435	C₂³	semidirect
554. #435	C₂³	semidirect
555. C₈×D₄	C₂³	semidirect
556. C₈×D₄	C₂³	semidirect
557. #433	C₂³	semidirect
558. #431	C₂³	semidirect
559. #431	C₂³	semidirect
560. #431	C₂³	semidirect
561. #428	C₂³	semidirect
562. #427	C₂³	semidirect
563. #427	C₂³	semidirect
564. #424	C₂³	semidirect
565. #423	C₂³	semidirect
566. #423	C₂³	semidirect
567. #419	C₂³	semidirect
568. #419	C₂³	semidirect
571. #418	C₂³	semidirect
572. #418	C₂³	semidirect
573. #418	C₂³	semidirect
574. #418	C₂³	semidirect
575. #417	C₂³	semidirect
576. #417	C₂³	semidirect
578. #416	C₂³	semidirect
579. #416	C₂³	semidirect
580. #416	C₂³	semidirect
581. #408	C₂³	semidirect
582. #408	C₂³	semidirect
583. #407	C₂³	semidirect
584. #407	C₂³	semidirect
585. #405	C₂³	semidirect
586. C₄×M₁₆	C₂³	semidirect
587. C₂×C₄×C₈	C₂³	semidirect
1186. SD₁₆	H(5,𝔽₂)	semidirect

Maximal subgroups

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

subgroup	index
#63022	2
#63011	2
#62463	2
#62421	2
#62328	2
#62304	2
#62286	2
#62040	2
#62035	2
#62001	2
#61996	2
#61664	2
#61661	2
#61651	2
#61644	2
#61590	2
#61582	2
#61543	2
#61449	2
#61087	2
D₄×AGL(1,ℤ/8)	2
#61059	2
#60317	2