Subgroups — #6369215

Order 512.

1890 conjugacy classes of subgroups.

The subgroup lattice has 1637 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#62151	C₂	1	1	yes	maximal, characteristic, complemented
2	#61600	C₂	1	1	yes	maximal, characteristic, complemented
3	#61557	C₂	1	1	yes	maximal, characteristic, complemented
4	D₄×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
5	#20314	C₂	1	1	yes	maximal, characteristic, complemented
6	#20250	C₂	1	1	yes	maximal, characteristic, complemented
7	#20203	C₂	1	1	yes	maximal, characteristic, complemented
8	#20190	C₂	1	1	yes	maximal, characteristic, complemented
9	#20158	C₂	1	1	yes	maximal, characteristic, complemented
10	#20073	C₂	1	1	yes	maximal, characteristic, complemented
11	#20054	C₂	1	1	yes	maximal, characteristic, complemented
12	#20030	C₂	1	1	yes	maximal, characteristic, complemented
13	#20026	C₂	1	1	yes	maximal, characteristic, complemented
14	SD₁₆²	C₂	1	1	yes	maximal, characteristic, complemented
15	#19900	C₂	1	1	yes	maximal, characteristic, complemented
16	#19886	C₂	1	1	yes	maximal, characteristic, complemented
17	#19804	C₂	1	1	yes	maximal, characteristic, complemented
18	#19803	C₂	1	1	yes	maximal, characteristic, complemented
19	#19771	C₂	1	1	yes	maximal, characteristic, complemented
20	#19757	C₂	1	1	yes	maximal, characteristic, complemented
21	#19713	C₂	1	1	yes	maximal, characteristic, complemented
22	#19495	C₂	1	1	yes	maximal, characteristic, complemented
23	#19467	C₂	1	1	yes	maximal, characteristic, complemented
24	#19376	C₂	1	1	yes	maximal, characteristic, complemented
25	#19307	C₂	1	1	yes	maximal, characteristic, complemented
26	#18852	C₂	1	1	yes	maximal, characteristic, complemented
27	#18822	C₂	1	1	yes	maximal, characteristic, complemented
28	#18806	C₂	1	1	yes	maximal, characteristic, complemented
29	#18747	C₂	1	1	yes	maximal, characteristic, complemented
30	#18052	C₂	1	1	yes	maximal, characteristic, complemented
31	#18008	C₂	1	1	yes	maximal, characteristic, complemented
32	C₂²×AGL(1,ℤ/8)	—	2	1	no	—
33	#3520	C₂²	1	1	yes	characteristic, complemented
34	#3518	C₂²	1	1	yes	characteristic, complemented
35	D₄×#41	C₂²	1	1	yes	characteristic
36	C₂×D₄²	C₂²	1	1	yes	characteristic
37	#3393	C₂²	1	1	yes	characteristic, complemented
38	Q₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
39	Q₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
40	Q₈×D₈	C₂²	1	1	yes	characteristic, complemented
41	#3369	C₂²	1	1	yes	characteristic, complemented
42	#3367	C₂²	1	1	yes	characteristic, complemented
43	#3362	C₂²	1	1	yes	characteristic, complemented
44	#3358	C₂²	1	1	yes	characteristic, complemented
45	#3356	—	2	1	no	—
46	#3354	—	2	1	no	—
47	#3354	C₂²	1	1	yes	characteristic, complemented
48	#3354	C₂²	1	1	yes	characteristic, complemented
49	#3353	—	2	1	no	—
50	#3353	C₂²	1	1	yes	characteristic, complemented
51	#3325	—	2	1	no	—
52	#3325	C₂²	1	1	yes	characteristic, complemented
53	#3324	—	2	1	no	—
54	#3324	C₂²	1	1	yes	characteristic
55	#3324	C₂²	1	1	yes	characteristic, complemented
56	#3324	C₂²	1	1	yes	characteristic, complemented
57	#3316	—	2	1	no	—
58	#3311	—	2	1	no	—
59	#3310	—	2	1	no	—
60	#3310	—	2	1	no	—
61	#3303	C₂²	1	1	yes	characteristic, complemented
62	#3298	C₂²	1	1	yes	characteristic, complemented
63	#3294	C₂²	1	1	yes	characteristic
64	#3294	C₂²	1	1	yes	characteristic, complemented
65	D₄×SD₁₆	C₂²	1	1	yes	characteristic
66	D₄×SD₁₆	C₂²	1	1	yes	characteristic
67	D₄×SD₁₆	C₂²	1	1	yes	characteristic
68	D₄×SD₁₆	C₂²	1	1	yes	characteristic, complemented
69	D₄×D₈	C₂²	1	1	yes	characteristic
70	D₄×D₈	C₂²	1	1	yes	characteristic
71	#3276	C₂²	1	1	yes	characteristic, complemented
72	#3275	—	2	1	no	—
73	#3274	C₂²	1	1	yes	characteristic
74	#3274	C₂²	1	1	yes	characteristic
75	#3272	C₂²	1	1	yes	characteristic
76	#3272	C₂²	1	1	yes	characteristic
77	#3272	C₂²	1	1	yes	characteristic
78	#3272	C₂²	1	1	yes	characteristic, complemented
79	#3265	—	2	1	no	—
80	#3265	—	2	1	no	—
81	#3265	—	2	1	no	—
82	#3265	—	2	1	no	—
83	#3264	—	2	1	no	—
84	#3264	—	2	1	no	—
85	#3251	—	2	1	no	—
86	#3251	C₂²	1	1	yes	characteristic, complemented
87	#3228	—	2	1	no	—
88	#3228	C₂²	1	1	yes	characteristic, complemented
89	#3228	C₂²	1	1	yes	characteristic, complemented
90	#3217	C₂²	1	1	yes	characteristic, complemented
91	#3208	C₂²	1	1	yes	characteristic, complemented
92	#3208	C₂²	1	1	yes	characteristic, complemented
93	#3193	—	2	1	no	—
94	#3188	—	2	1	no	—
95	#3185	C₂²	1	1	yes	characteristic, complemented
96	#3173	—	2	1	no	—
97	#3151	C₂²	1	1	yes	characteristic
98	#3125	—	2	1	no	—
99	#3121	—	2	1	no	—
100	#3110	C₂²	1	1	yes	characteristic
101	#3107	C₂²	1	1	yes	characteristic, complemented
102	#3105	—	2	1	no	—
103	#3105	C₂²	1	1	yes	characteristic
104	#3101	C₂²	1	1	yes	characteristic, complemented
105	#3077	—	2	1	no	—
106	#3077	C₂²	1	1	yes	characteristic
107	#3055	—	2	1	no	—
108	#3038	C₂²	1	1	yes	characteristic
109	#3036	C₂²	1	1	yes	characteristic
110	#3006	—	2	1	no	—
111	#3003	—	2	1	no	—
112	#3003	—	2	1	no	—
113	C₂×#450	—	2	1	no	—
114	#2991	C₂²	1	1	yes	characteristic, complemented
115	#2974	C₂²	1	1	yes	characteristic, complemented
116	#2969	C₂²	1	1	yes	characteristic, complemented
117	#2947	—	2	1	no	—
118	C₄×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
119	D₄×M₁₆	C₂²	1	1	yes	characteristic
120	#1722	C₂²	1	1	yes	characteristic, complemented
121	#1717	C₂²	1	1	yes	characteristic, complemented
122	#1717	C₂²	1	1	yes	characteristic, complemented
123	#1715	C₂²	1	1	yes	characteristic, complemented
124	#1714	C₂²	1	1	yes	characteristic, complemented
125	#1714	C₂²	1	1	yes	characteristic, complemented
126	#1709	C₂²	1	1	yes	characteristic, complemented
127	#1705	C₂²	1	1	yes	characteristic, complemented
128	#1703	C₂²	1	1	yes	characteristic, complemented
129	#1701	C₂²	1	1	yes	characteristic, complemented
130	#1701	C₂²	1	1	yes	characteristic, complemented
131	#1701	C₂²	1	1	yes	characteristic, complemented
132	#1699	C₂²	1	1	yes	characteristic, complemented
133	#1697	C₂²	1	1	yes	characteristic, complemented
134	#1693	C₂²	1	1	yes	characteristic, complemented
135	#1691	C₂²	1	1	yes	characteristic, complemented
136	#1691	C₂²	1	1	yes	characteristic, complemented
137	#1689	C₂²	1	1	yes	characteristic, complemented
138	#1688	C₂²	1	1	yes	characteristic, complemented
139	#1687	C₂²	1	1	yes	characteristic, complemented
140	#1686	C₂²	1	1	yes	characteristic, complemented
141	#1685	C₂²	1	1	yes	characteristic, complemented
142	#1685	C₂²	1	1	yes	characteristic, complemented
143	#1685	C₂²	1	1	yes	characteristic, complemented
144	#1683	C₂²	1	1	yes	characteristic, complemented
145	#1682	C₂²	1	1	yes	characteristic, complemented
146	#1682	C₂²	1	1	yes	characteristic, complemented
147	#1681	C₂²	1	1	yes	characteristic, complemented
148	#1679	C₂²	1	1	yes	characteristic, complemented
149	#1677	C₂²	1	1	yes	characteristic, complemented
150	#1673	C₂²	1	1	yes	characteristic, complemented
151	#1671	C₂²	1	1	yes	characteristic, complemented
152	#1671	C₂²	1	1	yes	characteristic, complemented
153	#1669	C₂²	1	1	yes	characteristic, complemented
154	#1668	C₂²	1	1	yes	characteristic, complemented
155	#1667	C₂²	1	1	yes	characteristic, complemented
156	#1666	C₂²	1	1	yes	characteristic, complemented
157	#1666	C₂²	1	1	yes	characteristic, complemented
158	#1666	C₂²	1	1	yes	characteristic, complemented
159	#1665	C₂²	1	1	yes	characteristic, complemented
160	#1654	C₂²	1	1	yes	characteristic, complemented
161	#1654	C₂²	1	1	yes	characteristic, complemented
162	#1651	C₂²	1	1	yes	characteristic, complemented
163	#1651	C₂²	1	1	yes	characteristic, complemented
164	#1650	C₂²	1	1	yes	characteristic, complemented
165	#1649	C₂²	1	1	yes	characteristic, complemented
166	#1647	C₂²	1	1	yes	characteristic, complemented
167	#1647	C₂²	1	1	yes	characteristic, complemented
168	#1642	C₂²	1	1	yes	characteristic, complemented
169	#1641	C₂²	1	1	yes	characteristic, complemented
170	#1639	C₂²	1	1	yes	characteristic
171	#1639	C₂²	1	1	yes	characteristic
172	#1639	C₂²	1	1	yes	characteristic, complemented
173	#1639	C₂²	1	1	yes	characteristic, complemented
174	#1639	C₂²	1	1	yes	characteristic, complemented
175	#1639	C₂²	1	1	yes	characteristic, complemented
176	#1629	C₂²	1	1	yes	characteristic
177	#1629	C₂²	1	1	yes	characteristic
178	#1629	C₂²	1	1	yes	characteristic, complemented
179	#1629	C₂²	1	1	yes	characteristic, complemented
180	#1628	C₂²	1	1	yes	characteristic, complemented
181	#1628	C₂²	1	1	yes	characteristic, complemented
182	#1628	C₂²	1	1	yes	characteristic, complemented
183	#1627	C₂²	1	1	yes	characteristic, complemented
184	#1627	C₂²	1	1	yes	characteristic, complemented
185	#1627	C₂²	1	1	yes	characteristic, complemented
186	#1625	C₂²	1	1	yes	characteristic, complemented
187	#1625	C₂²	1	1	yes	characteristic, complemented
188	#1624	C₂²	1	1	yes	characteristic, complemented
189	#1624	C₂²	1	1	yes	characteristic, complemented
190	#1623	C₂²	1	1	yes	characteristic, complemented
191	#1623	C₂²	1	1	yes	characteristic, complemented
192	#1594	C₂²	1	1	yes	characteristic, complemented
193	#1592	C₂²	1	1	yes	characteristic, complemented
194	#1589	C₂²	1	1	yes	characteristic, complemented
195	#1589	C₂²	1	1	yes	characteristic, complemented
196	#1588	C₂²	1	1	yes	characteristic, complemented
197	#1586	C₂²	1	1	yes	characteristic, complemented
198	#1586	C₂²	1	1	yes	characteristic, complemented
199	#1585	C₂²	1	1	yes	characteristic, complemented
200	#1583	C₂²	1	1	yes	characteristic, complemented
201	#1583	C₂²	1	1	yes	characteristic, complemented
202	#1581	C₂²	1	1	yes	characteristic, complemented
203	#1581	C₂²	1	1	yes	characteristic, complemented
204	#1580	C₂²	1	1	yes	characteristic, complemented
205	SD₁₆⋊C₈	C₂²	1	1	yes	characteristic, complemented
206	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
207	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
208	#1574	C₂²	1	1	yes	characteristic, complemented
209	#1569	C₂²	1	1	yes	characteristic, complemented
210	#1561	C₂²	1	1	yes	characteristic, complemented
211	#1559	C₂²	1	1	yes	characteristic, complemented
212	#1553	C₂²	1	1	yes	characteristic, complemented
213	#1545	C₂²	1	1	yes	characteristic, complemented
214	#1495	C₂²	1	1	yes	characteristic, complemented
215	#1488	C₂²	1	1	yes	characteristic, complemented
216	#1486	C₂²	1	1	yes	characteristic, complemented
217	#1478	C₂²	1	1	yes	characteristic
218	#1453	C₂²	1	1	yes	characteristic, complemented
219	C₂²×#41	—	2	1	no	—
220	C₂³×D₄	—	2	1	no	—
221	C₂³×D₄	—	2	1	no	—
222	C₂×#137	—	2	1	no	—
223	C₂×AGL(1,ℤ/8)	—	2	1	no	—
224	C₂×AGL(1,ℤ/8)	—	2	1	no	—
225	C₂×AGL(1,ℤ/8)	—	2	1	no	—
226	C₂×AGL(1,ℤ/8)	—	2	1	no	—
227	C₂×AGL(1,ℤ/8)	—	2	1	no	—
228	C₂×AGL(1,ℤ/8)	—	2	1	no	—
229	C₂×AGL(1,ℤ/8)	—	2	1	no	—
230	C₂×AGL(1,ℤ/8)	—	2	1	no	—
231	C₂×AGL(1,ℤ/8)	—	2	1	no	—
232	C₂×AGL(1,ℤ/8)	—	2	1	no	—
233	C₂×AGL(1,ℤ/8)	—	4	8	no	—
234	C₂×AGL(1,ℤ/8)	D₄	1	1	yes	characteristic
235	C₂²×SD₁₆	—	2	1	no	—
236	C₂²×SD₁₆	—	2	1	no	—
237	C₂²×SD₁₆	—	2	1	no	—
238	C₂²×SD₁₆	—	2	1	no	—
239	C₂²×D₈	—	2	1	no	—
240	C₂²×D₈	—	2	1	no	—
241	C₂²×M₁₆	—	2	1	no	—
242	Q₈²	C₂³	1	1	yes	characteristic, complemented
243	#556	—	2	1	no	—
244	#556	—	2	1	no	—
245	#556	—	4	1	no	—
246	#556	C₂³	1	1	yes	characteristic
247	#556	C₂³	1	1	yes	characteristic, complemented
248	#555	—	2	1	no	—
249	#555	C₂³	1	1	yes	characteristic, complemented
250	#554	—	2	1	no	—
251	#552	—	2	1	no	—
252	#551	—	4	1	no	—
253	#550	C₂³	1	1	yes	characteristic
254	D₄×Q₈	C₂³	1	1	yes	characteristic
255	D₄×Q₈	C₂³	1	1	yes	characteristic
256	D₄×Q₈	C₂³	1	1	yes	characteristic, complemented
257	#548	—	2	1	no	—
258	#548	—	2	1	no	—
259	#548	—	2	1	no	—
260	#547	—	2	1	no	—
261	#547	C₂³	1	1	yes	characteristic
262	#547	C₂³	1	1	yes	characteristic
263	#547	C₂³	1	1	yes	characteristic
264	#546	—	2	1	no	—
265	#546	—	2	1	no	—
266	#546	—	4	1	no	—
267	D₄²	—	2	1	no	—
268	D₄²	—	2	1	no	—
269	D₄²	—	2	1	no	—
270	D₄²	—	2	1	no	—
271	D₄²	—	2	1	no	—
272	D₄²	—	4	1	no	—
273	D₄²	C₂³	1	1	yes	characteristic
274	D₄²	C₂³	1	1	yes	characteristic
275	D₄²	C₂³	1	1	yes	characteristic
276	D₄²	C₂³	1	1	yes	characteristic
277	D₄²	C₂³	1	1	yes	characteristic
278	#542	—	2	1	no	—
279	#542	—	2	1	no	—
280	#542	—	4	1	no	—
281	#539	—	4	1	no	—
282	#533	—	2	1	no	—
283	#533	C₂³	1	1	yes	characteristic
284	#533	C₂³	1	1	yes	characteristic
285	#532	—	2	1	no	—
286	#532	C₂³	1	1	yes	characteristic
287	C₂×#127	C₂³	1	1	yes	characteristic
288	#529	—	2	1	no	—
289	#529	C₂³	1	1	yes	characteristic
290	#525	—	2	1	no	—
291	#525	—	2	1	no	—
292	#525	—	4	1	no	—
293	C₂×C₂²⋊Q₈	—	2	1	no	—
294	C₂×#121	—	2	1	no	—
295	C₂×#121	—	2	1	no	—
296	C₂×#120	—	4	1	no	—
297	#520	—	2	1	no	—
298	#519	—	2	1	no	—
299	C₄×#41	C₂³	1	1	yes	characteristic
300	C₂×C₄×D₄	—	2	1	no	—
301	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
302	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
303	#500	—	2	1	no	—
304	#500	C₂³	1	1	yes	characteristic, complemented
305	#500	C₂³	1	1	yes	characteristic, complemented
306	#498	—	2	1	no	—
307	#498	—	2	1	no	—
308	#498	C₂³	1	1	yes	characteristic, complemented
309	#498	C₂³	1	1	yes	characteristic, complemented
310	#498	C₂³	1	1	yes	characteristic, complemented
311	#496	—	2	1	no	—
312	#496	—	2	1	no	—
313	#496	—	2	1	no	—
314	#495	—	2	1	no	—
315	#494	C₂³	1	1	yes	characteristic, complemented
316	#493	C₂³	1	1	yes	characteristic
317	#493	C₂³	1	1	yes	characteristic
318	#492	C₂³	1	1	yes	characteristic
319	#492	C₂³	1	1	yes	characteristic
320	#492	C₂³	1	1	yes	characteristic
321	#492	C₂³	1	1	yes	characteristic
322	#492	C₂³	1	1	yes	characteristic
323	#492	C₂³	1	1	yes	characteristic
324	#490	—	2	1	no	—
325	#489	—	2	1	no	—
326	#489	—	2	1	no	—
327	#487	C₂³	1	1	yes	characteristic, complemented
328	#487	C₂³	1	1	yes	characteristic, complemented
329	#486	—	2	1	no	—
330	#486	—	2	1	no	—
331	#486	C₂³	1	1	yes	characteristic
332	#486	C₂³	1	1	yes	characteristic
333	#486	C₂³	1	1	yes	characteristic
334	#486	C₂³	1	1	yes	characteristic
335	#486	C₂³	1	1	yes	characteristic, complemented
336	#486	C₂³	1	1	yes	characteristic, complemented
337	#486	C₂³	1	1	yes	characteristic, complemented
338	#486	C₂³	1	1	yes	characteristic, complemented
339	#485	—	2	1	no	—
340	#485	—	2	1	no	—
341	#484	—	2	1	no	—
342	#484	—	2	1	no	—
343	#484	D₄	1	1	yes	characteristic
344	#483	—	2	1	no	—
345	#483	—	2	1	no	—
346	#482	—	2	1	no	—
347	#482	—	2	1	no	—
348	#482	—	2	1	no	—
349	#482	—	2	1	no	—
350	#482	—	2	1	no	—
351	#482	—	2	1	no	—
352	#482	—	2	1	no	—
353	#482	—	2	1	no	—
354	#482	—	2	1	no	—
355	#482	—	4	1	no	—
356	#481	—	2	1	no	—
357	#481	—	2	1	no	—
358	#481	D₄	1	1	yes	characteristic
359	#480	—	2	1	no	—
360	#480	—	2	1	no	—
361	#478	—	2	1	no	—
362	#478	—	2	1	no	—
363	#478	—	2	1	no	—
364	#478	—	2	1	no	—
365	#478	—	2	1	no	—
366	#478	—	4	1	no	—
367	#478	D₄	1	1	yes	characteristic
368	#478	D₄	1	1	yes	characteristic
369	#477	—	2	1	no	—
370	#476	—	2	1	no	—
371	#476	—	2	1	no	—
372	#476	—	2	1	no	—
373	#476	C₂³	1	1	yes	characteristic
374	#476	C₂³	1	1	yes	characteristic
375	#476	C₂³	1	1	yes	characteristic
376	#476	C₂³	1	1	yes	characteristic
377	#475	—	2	1	no	—
378	#475	—	2	1	no	—
379	#475	—	2	1	no	—
380	#475	C₂³	1	1	yes	characteristic, complemented
381	#475	C₂³	1	1	yes	characteristic, complemented
382	#474	—	2	1	no	—
383	#474	—	2	1	no	—
384	#474	—	2	1	no	—
385	#474	C₂³	1	1	yes	characteristic
386	#474	C₂³	1	1	yes	characteristic
387	#474	C₂³	1	1	yes	characteristic
388	#474	C₂³	1	1	yes	characteristic
389	#474	C₂³	1	1	yes	characteristic, complemented
390	#474	C₂³	1	1	yes	characteristic, complemented
391	#470	—	2	1	no	—
392	#470	—	2	1	no	—
393	#470	—	2	1	no	—
394	#469	—	2	1	no	—
395	#469	—	2	1	no	—
396	#469	—	2	1	no	—
397	#469	—	2	1	no	—
398	#469	—	2	1	no	—
399	#469	—	2	1	no	—
400	#468	—	2	1	no	—
401	#468	—	2	1	no	—
402	#468	—	2	1	no	—
403	#468	—	2	1	no	—
404	#468	—	2	1	no	—
405	#468	—	2	1	no	—
406	#468	—	2	1	no	—
407	#468	—	2	1	no	—
408	#468	—	2	1	no	—
409	#466	—	2	1	no	—
410	#466	—	2	1	no	—
411	#466	—	2	1	no	—
412	#466	—	2	1	no	—
413	#465	—	2	1	no	—
414	#465	—	2	1	no	—
415	#465	—	2	1	no	—
416	#465	—	2	1	no	—
417	#465	—	2	1	no	—
418	#465	—	2	1	no	—
419	#464	—	2	1	no	—
420	#464	—	2	1	no	—
421	#464	—	2	1	no	—
422	#463	—	2	1	no	—
423	#463	—	2	1	no	—
424	#463	—	2	1	no	—
425	#463	—	2	1	no	—
426	#463	D₄	1	1	yes	characteristic
427	#463	D₄	1	1	yes	characteristic
428	#462	C₂³	1	1	yes	characteristic, complemented
429	#461	C₂³	1	1	yes	characteristic
430	#461	C₂³	1	1	yes	characteristic
431	#461	C₂³	1	1	yes	characteristic
432	#461	C₂³	1	1	yes	characteristic
433	#461	C₂³	1	1	yes	characteristic
434	#461	C₂³	1	1	yes	characteristic
435	#461	C₂³	1	1	yes	characteristic, complemented
436	#460	—	2	1	no	—
437	#460	—	2	1	no	—
438	#460	—	2	1	no	—
439	#460	—	2	1	no	—
440	#460	—	4	1	no	—
441	#460	C₂³	1	1	yes	characteristic
442	#460	C₂³	1	1	yes	characteristic
443	#460	C₂³	1	1	yes	characteristic
444	#460	C₂³	1	1	yes	characteristic
445	#460	C₂³	1	1	yes	characteristic, complemented
446	#459	—	2	1	no	—
447	#459	—	2	1	no	—
448	#459	C₂³	1	1	yes	characteristic
449	#459	C₂³	1	1	yes	characteristic
450	#459	C₂³	1	1	yes	characteristic
451	#459	C₂³	1	1	yes	characteristic
452	#459	C₂³	1	1	yes	characteristic
453	#459	C₂³	1	1	yes	characteristic
454	#459	C₂³	1	1	yes	characteristic, complemented
455	#452	—	2	1	no	—
456	#452	—	2	1	no	—
457	#451	—	2	1	no	—
458	#450	—	2	1	no	—
459	#450	—	2	1	no	—
460	#450	—	2	1	no	—
461	#450	—	2	1	no	—
462	#450	—	2	1	no	—
463	#450	—	2	1	no	—
464	#450	—	2	1	no	—
465	#450	—	2	1	no	—
466	#450	—	2	1	no	—
467	#450	—	2	1	no	—
468	#450	—	2	1	no	—
469	#450	—	2	1	no	—
470	#450	—	2	1	no	—
471	#450	—	2	1	no	—
472	#450	—	2	1	no	—
473	#450	—	2	1	no	—
474	#450	—	4	1	no	—
475	#450	D₄	1	1	yes	characteristic
476	#449	—	2	1	no	—
477	#449	—	2	1	no	—
478	#449	—	2	1	no	—
479	#449	—	2	1	no	—
480	#449	—	2	1	no	—
481	#449	—	2	1	no	—
482	#449	—	2	1	no	—
483	#448	—	2	1	no	—
484	#448	—	2	1	no	—
485	#448	—	2	1	no	—
486	#448	—	2	1	no	—
487	#448	—	2	1	no	—
488	#447	—	2	1	no	—
489	#447	—	2	1	no	—
490	#447	—	2	1	no	—
491	#447	—	2	1	no	—
492	#447	—	2	1	no	—
493	#447	—	2	1	no	—
494	#447	—	2	1	no	—
495	#447	—	2	1	no	—
496	#447	—	2	1	no	—
497	#447	—	2	1	no	—
498	#447	D₄	1	1	yes	characteristic
499	#446	C₂³	1	1	yes	characteristic, complemented
500	C₈×Q₈	C₂³	1	1	yes	characteristic, complemented
501	C₈×Q₈	C₂³	1	1	yes	characteristic, complemented
502	C₈×Q₈	C₂³	1	1	yes	characteristic, complemented
503	#442	D₄	1	1	yes	characteristic
504	#442	D₄	1	1	yes	characteristic
505	#441	—	2	1	no	—
506	#441	—	2	1	no	—
507	#441	—	2	1	no	—
508	#440	—	2	1	no	—
509	#440	—	2	1	no	—
510	#440	—	2	1	no	—
511	#440	D₄	1	1	yes	characteristic
512	#440	D₄	1	1	yes	characteristic
513	C₄×Q₁₆	—	2	1	no	—
514	C₄×Q₁₆	—	2	1	no	—
515	C₄×SD₁₆	—	2	1	no	—
516	C₄×SD₁₆	—	2	1	no	—
517	C₄×SD₁₆	—	2	1	no	—
518	C₄×SD₁₆	—	2	1	no	—
519	C₄×SD₁₆	—	2	1	no	—
520	C₄×SD₁₆	—	2	1	no	—
521	C₄×SD₁₆	C₂³	1	1	yes	characteristic
522	C₄×SD₁₆	C₂³	1	1	yes	characteristic
523	C₄×SD₁₆	C₂³	1	1	yes	characteristic
524	C₄×SD₁₆	C₂³	1	1	yes	characteristic
525	C₄×D₈	—	2	1	no	—
526	C₄×D₈	—	2	1	no	—
527	C₄×D₈	C₂³	1	1	yes	characteristic
528	C₄×D₈	C₂³	1	1	yes	characteristic
529	C₄×D₈	C₂³	1	1	yes	characteristic
530	C₄×D₈	C₂³	1	1	yes	characteristic
531	#436	—	2	1	no	—
532	#436	—	2	1	no	—
533	#436	—	2	1	no	—
534	#436	C₂³	1	1	yes	characteristic
535	#436	C₂³	1	1	yes	characteristic
536	#436	C₂³	1	1	yes	characteristic
537	#436	C₂³	1	1	yes	characteristic
538	#436	C₂³	1	1	yes	characteristic, complemented
539	#436	C₂³	1	1	yes	characteristic, complemented
540	#436	C₂³	1	1	yes	characteristic, complemented
541	#435	—	2	1	no	—
542	#435	—	2	1	no	—
543	#435	—	2	1	no	—
544	#435	—	2	1	no	—
545	#435	—	2	1	no	—
546	C₈×D₄	C₂³	1	1	yes	characteristic
547	C₈×D₄	C₂³	1	1	yes	characteristic
548	C₈×D₄	C₂³	1	1	yes	characteristic
549	C₈×D₄	C₂³	1	1	yes	characteristic
550	C₈×D₄	C₂³	1	1	yes	characteristic, complemented
551	#433	—	2	1	no	—
552	#432	C₂³	1	1	yes	characteristic
553	#431	—	2	1	no	—
554	#431	C₂³	1	1	yes	characteristic
555	#431	C₂³	1	1	yes	characteristic
556	#431	C₂³	1	1	yes	characteristic
557	#428	—	2	1	no	—
558	#428	—	2	1	no	—
559	#428	—	2	1	no	—
560	#428	—	2	1	no	—
561	#428	D₄	1	1	yes	characteristic
562	#423	—	2	1	no	—
563	#423	C₂³	1	1	yes	characteristic
564	#423	C₂³	1	1	yes	characteristic
565	#418	—	2	1	no	—
566	#418	—	2	1	no	—
567	#418	—	2	1	no	—
568	#418	—	2	1	no	—
569	#418	—	2	1	no	—
570	#418	—	2	1	no	—
571	#418	D₄	1	1	yes	characteristic
572	#417	—	2	1	no	—
573	#417	D₄	1	1	yes	characteristic
574	#416	—	2	1	no	—
575	C₂×#103	—	2	1	no	—
576	C₂×#102	—	2	1	no	—
577	C₂×#102	—	2	1	no	—
578	#407	—	2	1	no	—
579	#407	—	2	1	no	—
580	C₂×C₂²⋊C₈	—	2	1	no	—
581	#405	—	2	1	no	—
582	C₄×M₁₆	C₂³	1	1	yes	characteristic
583	#335	C₂³	1	1	yes	characteristic, complemented
584	#335	C₂³	1	1	yes	characteristic, complemented
585	#335	C₂³	1	1	yes	characteristic, complemented
586	#335	C₂³	1	1	yes	characteristic, complemented
587	#334	C₂³	1	1	yes	characteristic, complemented
588	#334	C₂³	1	1	yes	characteristic, complemented
589	#334	C₂³	1	1	yes	characteristic, complemented
590	#334	C₂³	1	1	yes	characteristic, complemented
591	#333	C₂³	1	1	yes	characteristic, complemented
592	#333	C₂³	1	1	yes	characteristic, complemented
593	#332	C₂³	1	1	yes	characteristic, complemented
594	#332	C₂³	1	1	yes	characteristic, complemented
595	#332	C₂³	1	1	yes	characteristic, complemented
596	#332	C₂³	1	1	yes	characteristic, complemented
597	#332	C₂³	1	1	yes	characteristic, complemented
598	#332	C₂³	1	1	yes	characteristic, complemented
599	#332	C₂³	1	1	yes	characteristic, complemented
600	#332	C₂³	1	1	yes	characteristic, complemented
601	#331	C₂³	1	1	yes	characteristic
602	#331	C₂³	1	1	yes	characteristic
603	#331	C₂³	1	1	yes	characteristic
604	#331	C₂³	1	1	yes	characteristic
605	#331	C₂³	1	1	yes	characteristic, complemented
606	#331	C₂³	1	1	yes	characteristic, complemented
607	Q₈⋊C₈	C₂³	1	1	yes	characteristic, complemented
608	Q₈⋊C₈	C₂³	1	1	yes	characteristic, complemented
609	Q₈⋊C₈	C₂³	1	1	yes	characteristic, complemented
610	Q₈⋊C₈	C₂³	1	1	yes	characteristic, complemented
611	D₄⋊C₈	C₂³	1	1	yes	characteristic
612	D₄⋊C₈	C₂³	1	1	yes	characteristic
613	D₄⋊C₈	C₂³	1	1	yes	characteristic
614	D₄⋊C₈	C₂³	1	1	yes	characteristic
615	D₄⋊C₈	C₂³	1	1	yes	characteristic
616	D₄⋊C₈	C₂³	1	1	yes	characteristic
617	D₄⋊C₈	C₂³	1	1	yes	characteristic
618	D₄⋊C₈	C₂³	1	1	yes	characteristic
619	D₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
620	D₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
621	D₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
622	D₄⋊C₈	C₂³	1	1	yes	characteristic, complemented
623	#322	C₂³	1	1	yes	characteristic, complemented
624	#322	C₂³	1	1	yes	characteristic, complemented
625	#322	C₂³	1	1	yes	characteristic, complemented
626	C₈²	C₂³	1	1	yes	characteristic, complemented
627	C₂⁵	—	4	1	no	—
628	C₂×#41	—	2	1	no	—
629	C₂×#41	—	2	1	no	—
630	C₂×#41	—	2	1	no	—
631	C₂×#41	—	2	1	no	—
632	C₂×#41	—	2	1	no	—
633	C₂×#41	—	4	1	no	—
634	C₂×#41	—	4	1	no	—
635	C₂×#41	—	4	4	no	—
636	C₂×#41	—	8	2	no	—
637	C₂×#41	C₂×D₄	1	1	yes	characteristic
638	C₂²×Q₈	—	2	1	no	—
639	C₂²×Q₈	—	2	1	no	—
640	C₂²×Q₈	—	2	1	no	—
641	C₂²×D₄	—	2	1	no	—
642	C₂²×D₄	—	2	1	no	—
643	C₂²×D₄	—	2	1	no	—
644	C₂²×D₄	—	2	1	no	—
645	C₂²×D₄	—	2	1	no	—
646	C₂²×D₄	—	2	1	no	—
647	C₂²×D₄	—	2	1	no	—
648	C₂²×D₄	—	2	1	no	—
649	C₂²×D₄	—	2	1	no	—
650	C₂²×D₄	—	2	1	no	—
651	C₂²×D₄	—	2	1	no	—
652	C₂²×D₄	—	2	1	no	—
653	C₂²×D₄	—	2	1	no	—
654	C₂²×D₄	—	4	1	no	—
655	C₂²×D₄	—	4	1	no	—
656	C₂²×D₄	—	4	1	no	—
657	C₂²×D₄	—	4	1	no	—
658	C₂²×D₄	—	4	1	no	—
659	C₂²×D₄	—	4	1	no	—
660	C₂²×D₄	—	4	4	no	—
661	C₂²×D₄	—	4	1	no	—
662	C₂²×D₄	—	8	2	no	—
663	C₂²×D₄	—	8	2	no	—
664	C₂²×D₄	—	8	2	no	—
665	C₂²×D₄	C₂×D₄	1	1	yes	characteristic
666	C₂²×D₄	C₂×D₄	1	1	yes	characteristic
667	C₂³×C₄	—	2	1	no	—
668	C₂³×C₄	—	2	1	no	—
669	C₂³×C₄	—	4	1	no	—
670	#137	—	4	4	no	—
671	AGL(1,ℤ/8)	—	2	4	no	—
672	AGL(1,ℤ/8)	—	4	4	no	—
673	AGL(1,ℤ/8)	—	4	4	no	—
674	AGL(1,ℤ/8)	—	4	4	no	—
675	AGL(1,ℤ/8)	—	4	4	no	—
676	AGL(1,ℤ/8)	—	4	4	no	—
677	AGL(1,ℤ/8)	—	4	4	no	—
678	AGL(1,ℤ/8)	—	4	4	no	—
679	AGL(1,ℤ/8)	—	8	2	no	—
680	AGL(1,ℤ/8)	—	8	2	no	—
681	AGL(1,ℤ/8)	—	8	2	no	—
682	C₂×Q₁₆	—	2	1	no	—
683	C₂×Q₁₆	—	2	1	no	—
684	C₂×Q₁₆	—	2	1	no	—
685	C₂×SD₁₆	—	2	1	no	—
686	C₂×SD₁₆	—	2	1	no	—
687	C₂×SD₁₆	—	2	1	no	—
688	C₂×SD₁₆	—	2	1	no	—
689	C₂×SD₁₆	—	2	1	no	—
690	C₂×SD₁₆	—	2	1	no	—
691	C₂×SD₁₆	—	2	1	no	—
692	C₂×SD₁₆	—	2	1	no	—
693	C₂×SD₁₆	—	2	1	no	—
694	C₂×SD₁₆	—	2	1	no	—
695	C₂×SD₁₆	—	2	1	no	—
696	C₂×SD₁₆	—	2	1	no	—
697	C₂×SD₁₆	—	2	1	no	—
698	C₂×SD₁₆	—	2	1	no	—
699	C₂×SD₁₆	—	2	1	no	—
700	C₂×SD₁₆	—	2	1	no	—
701	C₂×SD₁₆	—	2	1	no	—
702	C₂×SD₁₆	—	2	1	no	—
703	C₂×SD₁₆	—	2	1	no	—
704	C₂×SD₁₆	—	2	1	no	—
705	C₂×SD₁₆	—	4	1	no	—
706	C₂×SD₁₆	—	4	1	no	—
707	C₂×SD₁₆	—	4	4	no	—
708	C₂×SD₁₆	—	4	4	no	—
709	C₂×SD₁₆	—	8	2	no	—
710	C₂×SD₁₆	—	8	2	no	—
711	C₂×SD₁₆	C₂×D₄	1	1	yes	characteristic
712	C₂×SD₁₆	C₂×D₄	1	1	yes	characteristic
713	C₂×SD₁₆	C₂×D₄	1	1	yes	characteristic
714	C₂×SD₁₆	C₂×D₄	1	1	yes	characteristic
715	C₂×D₈	—	2	1	no	—
716	C₂×D₈	—	2	1	no	—
717	C₂×D₈	—	2	1	no	—
718	C₂×D₈	—	2	1	no	—
719	C₂×D₈	—	2	1	no	—
720	C₂×D₈	—	2	1	no	—
721	C₂×D₈	—	2	1	no	—
722	C₂×D₈	—	2	1	no	—
723	C₂×D₈	—	2	1	no	—
724	C₂×D₈	—	2	1	no	—
725	C₂×D₈	—	2	1	no	—
726	C₂×D₈	—	4	4	no	—
727	C₂×D₈	—	4	4	no	—
728	C₂×D₈	C₂×D₄	1	1	yes	characteristic
729	C₂×D₈	C₂×D₄	1	1	yes	characteristic
730	C₂×D₈	C₂×D₄	1	1	yes	characteristic
731	C₂×D₈	C₂×D₄	1	1	yes	characteristic
732	C₂×M₁₆	—	2	1	no	—
733	C₂×M₁₆	—	2	1	no	—
734	C₂×M₁₆	—	2	1	no	—
735	C₂×M₁₆	—	2	1	no	—
736	C₂×M₁₆	—	2	1	no	—
737	C₂×M₁₆	—	2	1	no	—
738	C₂×M₁₆	—	2	1	no	—
739	C₂×M₁₆	—	2	1	no	—
740	C₂×M₁₆	—	2	1	no	—
741	C₂×M₁₆	—	4	4	no	—
742	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
743	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
744	C₂²×C₈	—	2	1	no	—
745	C₂²×C₈	—	2	1	no	—
746	C₂²×C₈	—	2	1	no	—
747	C₂²×C₈	—	2	1	no	—
748	C₂²×C₈	—	2	1	no	—
749	C₄⋊Q₈	—	2	1	no	—
750	C₄⋊Q₈	—	2	1	no	—
751	C₄⋊Q₈	—	2	1	no	—
752	C₄⋊Q₈	—	2	1	no	—
753	C₄⋊Q₈	—	2	1	no	—
754	C₄⋊Q₈	—	4	1	no	—
755	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
756	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
757	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
758	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
759	C₄⋊Q₈	C₂⁴	1	1	yes	characteristic
760	#127	—	2	1	no	—
761	#127	—	2	1	no	—
762	#127	—	2	1	no	—
763	#127	—	2	1	no	—
764	#127	C₂⁴	1	1	yes	characteristic
765	#127	C₂⁴	1	1	yes	characteristic
766	#127	C₂⁴	1	1	yes	characteristic
767	#126	—	2	1	no	—
768	#126	—	4	1	no	—
769	#126	—	4	1	no	—
770	#126	—	4	1	no	—
771	#126	—	4	1	no	—
772	#126	—	4	1	no	—
773	#126	—	4	1	no	—
774	#125	—	2	1	no	—
775	#125	—	2	1	no	—
776	#125	—	4	1	no	—
777	#125	C₂×D₄	1	1	yes	characteristic
778	#124	—	2	1	no	—
779	#124	—	2	1	no	—
780	#124	—	2	1	no	—
781	#124	—	4	1	no	—
782	#124	—	4	1	no	—
783	#124	—	4	1	no	—
784	#124	—	4	1	no	—
785	#124	—	4	1	no	—
786	#124	—	4	1	no	—
787	#124	C₂×D₄	1	1	yes	characteristic
788	#123	—	2	1	no	—
789	#123	—	4	1	no	—
790	#123	—	4	1	no	—
791	#123	—	4	1	no	—
792	#123	—	4	1	no	—
793	#123	—	4	1	no	—
794	#123	—	4	1	no	—
795	#123	—	4	1	no	—
796	#123	—	4	1	no	—
797	C₂²⋊Q₈	—	2	1	no	—
798	C₂²⋊Q₈	—	2	1	no	—
799	C₂²⋊Q₈	—	2	1	no	—
800	C₂²⋊Q₈	—	2	1	no	—
801	C₂²⋊Q₈	—	2	1	no	—
802	C₂²⋊Q₈	—	2	1	no	—
803	C₂²⋊Q₈	—	2	1	no	—
804	C₂²⋊Q₈	—	2	1	no	—
805	C₂²⋊Q₈	—	2	1	no	—
806	C₂²⋊Q₈	—	2	1	no	—
807	C₂²⋊Q₈	—	2	1	no	—
808	C₂²⋊Q₈	—	2	1	no	—
809	C₂²⋊Q₈	—	4	1	no	—
810	C₂²⋊Q₈	—	4	1	no	—
811	C₂²⋊Q₈	—	4	1	no	—
812	C₂²⋊Q₈	—	4	1	no	—
813	C₂²⋊Q₈	—	4	1	no	—
814	C₂²⋊Q₈	—	4	1	no	—
815	C₂²⋊Q₈	—	4	1	no	—
816	C₂²⋊Q₈	—	4	1	no	—
817	C₂²⋊Q₈	—	4	1	no	—
818	C₂²⋊Q₈	C₂×D₄	1	1	yes	characteristic
819	#121	—	2	1	no	—
820	#121	—	2	1	no	—
821	#121	—	2	1	no	—
822	#121	—	2	1	no	—
823	#121	—	2	1	no	—
824	#121	—	2	1	no	—
825	#121	—	2	1	no	—
826	#121	—	2	1	no	—
827	#121	—	2	1	no	—
828	#121	—	2	1	no	—
829	#121	—	2	1	no	—
830	#121	—	2	1	no	—
831	#121	—	2	1	no	—
832	#121	—	2	1	no	—
833	#121	—	2	1	no	—
834	#121	—	2	1	no	—
835	#121	—	2	1	no	—
836	#121	—	2	1	no	—
837	#121	—	4	1	no	—
838	#121	—	4	1	no	—
839	#121	—	4	1	no	—
840	#121	—	4	1	no	—
841	#121	—	4	1	no	—
842	#121	—	4	1	no	—
843	#121	—	4	1	no	—
844	#121	—	4	1	no	—
845	#121	—	4	1	no	—
846	#121	C₂×D₄	1	1	yes	characteristic
847	#120	—	4	1	no	—
848	#120	—	4	1	no	—
849	#120	—	4	1	no	—
850	#120	—	4	1	no	—
851	#120	—	4	1	no	—
852	#120	—	4	1	no	—
853	#120	—	4	1	no	—
854	#120	—	4	1	no	—
855	#120	—	4	1	no	—
856	#120	—	4	1	no	—
857	#120	—	4	1	no	—
858	#120	—	4	1	no	—
859	C₄×Q₈	—	2	1	no	—
860	C₄×Q₈	—	2	1	no	—
861	C₄×Q₈	—	2	1	no	—
862	C₄×Q₈	—	2	1	no	—
863	C₄×Q₈	—	2	1	no	—
864	C₄×Q₈	—	2	1	no	—
865	C₄×Q₈	—	2	1	no	—
866	C₄×Q₈	—	2	1	no	—
867	C₄×Q₈	—	4	1	no	—
868	C₄×Q₈	—	4	1	no	—
869	C₄×Q₈	—	4	1	no	—
870	C₄×Q₈	C₂×D₄	1	1	yes	characteristic
871	C₄×Q₈	C₂⁴	1	1	yes	characteristic
872	C₄×Q₈	C₂⁴	1	1	yes	characteristic
873	C₄×D₄	—	2	1	no	—
874	C₄×D₄	—	2	1	no	—
875	C₄×D₄	—	2	1	no	—
876	C₄×D₄	—	2	1	no	—
877	C₄×D₄	—	2	1	no	—
878	C₄×D₄	—	2	1	no	—
879	C₄×D₄	—	2	1	no	—
880	C₄×D₄	—	2	1	no	—
881	C₄×D₄	—	2	1	no	—
882	C₄×D₄	—	2	1	no	—
883	C₄×D₄	—	2	1	no	—
884	C₄×D₄	—	2	1	no	—
885	C₄×D₄	—	2	1	no	—
886	C₄×D₄	—	4	1	no	—
887	C₄×D₄	—	4	1	no	—
888	C₄×D₄	—	4	1	no	—
889	C₄×D₄	—	4	1	no	—
890	C₄×D₄	—	4	1	no	—
891	C₄×D₄	—	4	1	no	—
892	C₄×D₄	—	4	1	no	—
893	C₄×D₄	C₂×D₄	1	1	yes	characteristic
894	C₄×D₄	C₂×D₄	1	1	yes	characteristic
895	C₄×D₄	C₂×D₄	1	1	yes	characteristic
896	C₄×D₄	C₂×D₄	1	1	yes	characteristic
897	C₄×D₄	C₂×D₄	1	1	yes	characteristic
898	C₄×D₄	C₂⁴	1	1	yes	characteristic
899	C₄×D₄	C₂⁴	1	1	yes	characteristic
900	C₄×D₄	C₂⁴	1	1	yes	characteristic
901	C₄×D₄	C₂⁴	1	1	yes	characteristic
902	C₄×D₄	C₂⁴	1	1	yes	characteristic
903	C₄×D₄	C₂⁴	1	1	yes	characteristic
904	#117	—	2	1	no	—
905	#117	—	2	1	no	—
906	#117	—	2	1	no	—
907	#117	—	2	1	no	—
908	#117	—	2	1	no	—
909	#117	—	2	1	no	—
910	#117	—	2	1	no	—
911	#117	—	2	1	no	—
912	#117	—	4	1	no	—
913	#117	—	4	1	no	—
914	#117	—	4	1	no	—
915	#117	C₂×D₄	1	1	yes	characteristic
916	C₂×C₄⋊C₄	—	2	1	no	—
917	C₂×C₄⋊C₄	—	2	1	no	—
918	C₂×C₄⋊C₄	—	2	1	no	—
919	C₂×C₄⋊C₄	—	4	1	no	—
920	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
921	C₂×C₄⋊C₄	C₂×D₄	1	1	yes	characteristic
922	C₂×C₂²⋊C₄	—	2	1	no	—
923	C₂×C₂²⋊C₄	—	2	1	no	—
924	C₂×C₂²⋊C₄	—	4	1	no	—
925	C₂×C₂²⋊C₄	—	4	1	no	—
926	C₂×C₂²⋊C₄	—	4	1	no	—
927	C₂×C₄²	—	2	1	no	—
928	C₂×C₄²	C₂⁴	1	1	yes	characteristic
929	#107	—	2	1	no	—
930	#107	—	2	1	no	—
931	#107	—	2	1	no	—
932	#107	—	2	1	no	—
933	#107	—	2	1	no	—
934	#107	—	2	1	no	—
935	#107	—	2	1	no	—
936	#107	—	2	1	no	—
937	#107	—	4	1	no	—
938	#107	C₂×D₄	1	1	yes	characteristic
939	#107	C₂×D₄	1	1	yes	characteristic
940	#107	C₂×D₄	1	1	yes	characteristic
941	#107	C₂×D₄	1	1	yes	characteristic
942	#106	—	2	1	no	—
943	#106	—	2	1	no	—
944	#106	—	2	1	no	—
945	#106	—	2	1	no	—
946	#106	—	2	1	no	—
947	#106	—	2	1	no	—
948	#106	—	2	1	no	—
949	#106	—	2	1	no	—
950	#106	—	2	1	no	—
951	#106	—	2	1	no	—
952	#106	—	4	1	no	—
953	#106	C₂×D₄	1	1	yes	characteristic
954	#106	C₂×D₄	1	1	yes	characteristic
955	#106	C₂×D₄	1	1	yes	characteristic
956	#106	C₂×D₄	1	1	yes	characteristic
957	C₄⋊C₈	—	2	1	no	—
958	C₄⋊C₈	—	2	1	no	—
959	C₄⋊C₈	—	2	1	no	—
960	C₄⋊C₈	—	2	1	no	—
961	C₄⋊C₈	—	2	1	no	—
962	C₄⋊C₈	—	2	1	no	—
963	C₄⋊C₈	—	2	1	no	—
964	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
965	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
966	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
967	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
968	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
969	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
970	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
971	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
972	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
973	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
974	#103	—	2	1	no	—
975	#103	—	2	1	no	—
976	#103	—	2	1	no	—
977	#103	—	2	1	no	—
978	#103	—	2	1	no	—
979	#103	—	2	1	no	—
980	#103	—	2	1	no	—
981	#103	—	2	1	no	—
982	#103	—	2	1	no	—
983	#103	—	2	1	no	—
984	#103	—	2	1	no	—
985	#103	—	2	1	no	—
986	#103	—	2	1	no	—
987	#103	—	2	1	no	—
988	#103	C₂×D₄	1	1	yes	characteristic
989	#103	C₂×D₄	1	1	yes	characteristic
990	#103	C₂×D₄	1	1	yes	characteristic
991	#103	C₂×D₄	1	1	yes	characteristic
992	#102	—	2	1	no	—
993	#102	—	2	1	no	—
994	#102	—	2	1	no	—
995	#102	—	2	1	no	—
996	#102	—	2	1	no	—
997	#102	—	2	1	no	—
998	#102	—	2	1	no	—
999	#102	—	2	1	no	—
1000	#102	—	2	1	no	—
1001	#102	—	2	1	no	—
1002	#102	—	2	1	no	—
1003	#102	—	2	1	no	—
1004	#102	—	2	1	no	—
1005	#102	—	2	1	no	—
1006	#102	—	2	1	no	—
1007	#102	—	2	1	no	—
1008	#102	—	2	1	no	—
1009	#102	—	2	1	no	—
1010	#102	—	2	1	no	—
1011	#102	—	2	1	no	—
1012	#102	—	2	1	no	—
1013	#102	—	2	1	no	—
1014	#102	—	2	1	no	—
1015	#102	—	2	1	no	—
1016	#102	—	2	1	no	—
1017	#102	—	2	1	no	—
1018	#102	—	2	1	no	—
1019	#102	—	2	1	no	—
1020	#102	—	2	1	no	—
1021	#102	—	2	1	no	—
1022	#102	—	4	1	no	—
1023	#102	—	4	1	no	—
1024	#102	—	4	1	no	—
1025	#102	—	4	1	no	—
1026	#102	C₂×D₄	1	1	yes	characteristic
1027	#102	C₂×D₄	1	1	yes	characteristic
1028	#102	C₂×D₄	1	1	yes	characteristic
1029	#102	C₂×D₄	1	1	yes	characteristic
1030	#102	C₂×D₄	1	1	yes	characteristic
1031	#102	C₂×D₄	1	1	yes	characteristic
1032	#102	C₂×D₄	1	1	yes	characteristic
1033	#102	C₂×D₄	1	1	yes	characteristic
1034	#102	C₂×D₄	1	1	yes	characteristic
1035	#102	C₂×D₄	1	1	yes	characteristic
1036	#102	C₂×D₄	1	1	yes	characteristic
1037	#102	C₂×D₄	1	1	yes	characteristic
1038	C₂²⋊C₈	—	2	1	no	—
1039	C₂²⋊C₈	—	2	1	no	—
1040	C₂²⋊C₈	—	2	1	no	—
1041	C₂²⋊C₈	—	2	1	no	—
1042	C₂²⋊C₈	—	2	1	no	—
1043	C₂²⋊C₈	—	2	1	no	—
1044	C₂²⋊C₈	—	2	1	no	—
1045	C₂²⋊C₈	—	2	1	no	—
1046	C₂²⋊C₈	—	2	1	no	—
1047	C₂²⋊C₈	—	2	1	no	—
1048	C₂²⋊C₈	—	2	1	no	—
1049	C₂²⋊C₈	—	2	1	no	—
1050	C₂²⋊C₈	—	2	1	no	—
1051	C₂²⋊C₈	—	2	1	no	—
1052	C₂²⋊C₈	—	2	1	no	—
1053	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1054	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1055	#97	—	2	1	no	—
1056	#97	—	2	1	no	—
1057	#97	C₂×D₄	1	1	yes	characteristic
1058	#97	C₂×D₄	1	1	yes	characteristic
1059	C₄×C₈	—	2	1	no	—
1060	C₄×C₈	—	2	1	no	—
1061	C₄×C₈	—	2	1	no	—
1062	C₄×C₈	—	2	1	no	—
1063	C₄×C₈	C₂⁴	1	1	yes	characteristic
1064	C₄×C₈	C₂⁴	1	1	yes	characteristic
1065	C₄×C₈	C₂⁴	1	1	yes	characteristic
1066	C₄×C₈	C₂⁴	1	1	yes	characteristic
1067	C₄×C₈	C₂⁴	1	1	yes	characteristic
1068	C₄×C₈	C₂⁴	1	1	yes	characteristic
1069	C₂⁴	—	2	1	no	—
1070	C₂⁴	—	2	1	no	—
1071	C₂⁴	—	4	1	no	—
1072	C₂⁴	—	4	1	no	—
1073	C₂⁴	—	4	1	no	—
1074	C₂⁴	—	4	1	no	—
1075	C₂⁴	—	4	1	no	—
1076	C₂⁴	—	4	1	no	—
1077	C₂⁴	—	8	4	no	—
1078	C₂⁴	—	8	4	no	—
1079	C₂⁴	—	16	2	no	—
1080	#41	—	2	2	no	—
1081	#41	—	4	1	no	—
1082	#41	—	4	2	no	—
1083	#41	—	4	2	no	—
1084	#41	—	4	2	no	—
1085	#41	—	4	2	no	—
1086	#41	—	4	2	no	—
1087	#41	—	8	4	no	—
1088	#41	—	8	1	no	—
1089	#41	—	8	1	no	—
1090	#41	—	8	1	no	—
1091	#41	—	8	4	no	—
1092	#41	—	8	1	no	—
1093	#41	—	8	1	no	—
1094	C₂×Q₈	—	2	1	no	—
1095	C₂×Q₈	—	2	1	no	—
1096	C₂×Q₈	—	2	1	no	—
1097	C₂×Q₈	—	2	1	no	—
1098	C₂×Q₈	—	2	1	no	—
1099	C₂×Q₈	—	4	1	no	—
1100	C₂×Q₈	—	4	1	no	—
1101	C₂×Q₈	—	4	1	no	—
1102	C₂×Q₈	—	4	1	no	—
1103	C₂×Q₈	—	4	2	no	—
1104	C₂×Q₈	—	4	2	no	—
1105	C₂×Q₈	—	8	1	no	—
1106	C₂×Q₈	—	8	1	no	—
1107	C₂×Q₈	—	8	1	no	—
1108	C₂×Q₈	—	8	1	no	—
1109	C₂×Q₈	C₂²×D₄	1	1	yes	characteristic
1110	C₂×Q₈	C₂²×D₄	1	1	yes	characteristic
1111	C₂×D₄	—	2	2	no	—
1112	C₂×D₄	—	2	2	no	—
1113	C₂×D₄	—	2	1	no	—
1114	C₂×D₄	—	2	1	no	—
1115	C₂×D₄	—	2	1	no	—
1116	C₂×D₄	—	2	1	no	—
1117	C₂×D₄	—	2	1	no	—
1118	C₂×D₄	—	2	1	no	—
1119	C₂×D₄	—	2	1	no	—
1120	C₂×D₄	—	2	1	no	—
1121	C₂×D₄	—	2	1	no	—
1122	C₂×D₄	—	2	1	no	—
1123	C₂×D₄	—	2	1	no	—
1124	C₂×D₄	—	2	1	no	—
1125	C₂×D₄	—	2	1	no	—
1126	C₂×D₄	—	4	1	no	—
1127	C₂×D₄	—	4	1	no	—
1128	C₂×D₄	—	4	2	no	—
1129	C₂×D₄	—	4	2	no	—
1130	C₂×D₄	—	4	1	no	—
1131	C₂×D₄	—	4	1	no	—
1132	C₂×D₄	—	4	1	no	—
1133	C₂×D₄	—	4	1	no	—
1134	C₂×D₄	—	4	1	no	—
1135	C₂×D₄	—	4	1	no	—
1136	C₂×D₄	—	4	1	no	—
1137	C₂×D₄	—	4	1	no	—
1138	C₂×D₄	—	4	1	no	—
1139	C₂×D₄	—	4	1	no	—
1140	C₂×D₄	—	4	1	no	—
1141	C₂×D₄	—	4	1	no	—
1142	C₂×D₄	—	4	2	no	—
1143	C₂×D₄	—	4	2	no	—
1144	C₂×D₄	—	4	2	no	—
1145	C₂×D₄	—	4	2	no	—
1146	C₂×D₄	—	4	2	no	—
1147	C₂×D₄	—	4	2	no	—
1148	C₂×D₄	—	4	2	no	—
1149	C₂×D₄	—	4	2	no	—
1150	C₂×D₄	—	4	2	no	—
1151	C₂×D₄	—	4	2	no	—
1152	C₂×D₄	—	4	1	no	—
1153	C₂×D₄	—	4	1	no	—
1154	C₂×D₄	—	4	1	no	—
1155	C₂×D₄	—	4	1	no	—
1156	C₂×D₄	—	4	1	no	—
1157	C₂×D₄	—	4	1	no	—
1158	C₂×D₄	—	4	1	no	—
1159	C₂×D₄	—	4	1	no	—
1160	C₂×D₄	—	8	1	no	—
1161	C₂×D₄	—	8	1	no	—
1162	C₂×D₄	—	8	1	no	—
1163	C₂×D₄	—	8	1	no	—
1164	C₂×D₄	—	8	1	no	—
1165	C₂×D₄	—	8	1	no	—
1166	C₂×D₄	—	8	1	no	—
1167	C₂×D₄	—	8	1	no	—
1168	C₂×D₄	—	8	1	no	—
1169	C₂×D₄	—	8	1	no	—
1170	C₂×D₄	—	8	1	no	—
1171	C₂×D₄	—	8	1	no	—
1172	C₂×D₄	—	8	4	no	—
1173	C₂×D₄	—	8	4	no	—
1174	C₂×D₄	—	8	4	no	—
1175	C₂×D₄	—	8	4	no	—
1176	C₂×D₄	—	8	4	no	—
1177	C₂×D₄	—	8	4	no	—
1178	C₂×D₄	—	8	4	no	—
1179	C₂×D₄	—	16	1	no	—
1180	C₂×D₄	C₂²×D₄	1	1	yes	characteristic
1181	C₂×D₄	C₂²×D₄	1	1	yes	characteristic
1182	C₂×D₄	C₂²×D₄	1	1	yes	characteristic
1183	C₂×D₄	C₂²×D₄	1	1	yes	characteristic
1184	C₂×D₄	C₂²×D₄	1	1	yes	characteristic
1185	C₂×D₄	C₂²×D₄	1	1	yes	characteristic
1186	C₂²×C₄	—	2	1	no	—
1187	C₂²×C₄	—	2	1	no	—
1188	C₂²×C₄	—	2	1	no	—
1189	C₂²×C₄	—	2	1	no	—
1190	C₂²×C₄	—	2	1	no	—
1191	C₂²×C₄	—	2	1	no	—
1192	C₂²×C₄	—	2	1	no	—
1193	C₂²×C₄	—	2	1	no	—
1194	C₂²×C₄	—	2	1	no	—
1195	C₂²×C₄	—	2	1	no	—
1196	C₂²×C₄	—	2	1	no	—
1197	C₂²×C₄	—	2	1	no	—
1198	C₂²×C₄	—	2	1	no	—
1199	C₂²×C₄	—	2	1	no	—
1200	C₂²×C₄	—	4	1	no	—
1201	C₂²×C₄	—	4	2	no	—
1202	C₂²×C₄	—	4	2	no	—
1203	C₂²×C₄	—	4	1	no	—
1204	C₂²×C₄	—	4	1	no	—
1205	C₂²×C₄	—	4	1	no	—
1206	C₂²×C₄	—	4	1	no	—
1207	C₂²×C₄	—	4	1	no	—
1208	C₂²×C₄	—	4	1	no	—
1209	C₂²×C₄	—	4	1	no	—
1210	C₂²×C₄	—	8	1	no	—
1211	C₂²×C₄	—	8	1	no	—
1212	C₂²×C₄	—	8	4	no	—
1213	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1214	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1215	C₂²×C₄	H(5,𝔽₂)	1	1	yes	characteristic
1216	Q₁₆	—	4	2	no	—
1217	Q₁₆	—	4	2	no	—
1218	Q₁₆	—	8	1	no	—
1219	SD₁₆	—	2	2	no	—
1220	SD₁₆	—	2	2	no	—
1221	SD₁₆	—	4	1	no	—
1222	SD₁₆	—	4	2	no	—
1223	SD₁₆	—	4	2	no	—
1224	SD₁₆	—	4	2	no	—
1225	SD₁₆	—	4	2	no	—
1226	SD₁₆	—	4	2	no	—
1227	SD₁₆	—	4	2	no	—
1228	SD₁₆	—	4	2	no	—
1229	SD₁₆	—	4	2	no	—
1230	SD₁₆	—	4	2	no	—
1231	SD₁₆	—	8	1	no	—
1232	SD₁₆	—	8	1	no	—
1233	SD₁₆	—	8	1	no	—
1234	SD₁₆	—	8	1	no	—
1235	SD₁₆	—	8	1	no	—
1236	SD₁₆	—	8	1	no	—
1237	SD₁₆	—	8	1	no	—
1238	SD₁₆	—	8	1	no	—
1239	SD₁₆	—	8	1	no	—
1240	SD₁₆	—	8	1	no	—
1241	SD₁₆	—	8	1	no	—
1242	SD₁₆	—	16	1	no	—
1243	SD₁₆	—	16	1	no	—
1244	SD₁₆	AGL(1,ℤ/8)	1	4	yes	complemented
1245	D₈	—	2	2	no	—
1246	D₈	—	2	2	no	—
1247	D₈	—	2	2	no	—
1248	D₈	—	4	1	no	—
1249	D₈	—	4	2	no	—
1250	D₈	—	4	2	no	—
1251	D₈	—	4	2	no	—
1252	D₈	—	4	2	no	—
1253	D₈	—	4	2	no	—
1254	D₈	—	4	2	no	—
1255	D₈	—	8	1	no	—
1256	D₈	—	8	1	no	—
1257	D₈	—	8	1	no	—
1258	D₈	—	8	1	no	—
1259	D₈	—	8	1	no	—
1260	M₁₆	—	2	2	no	—
1261	M₁₆	—	4	1	no	—
1262	M₁₆	—	4	2	no	—
1263	M₁₆	—	4	2	no	—
1264	M₁₆	—	4	2	no	—
1265	M₁₆	—	4	2	no	—
1266	M₁₆	—	8	1	no	—
1267	M₁₆	—	8	1	no	—
1268	M₁₆	—	8	1	no	—
1269	M₁₆	—	8	1	no	—
1270	M₁₆	—	8	1	no	—
1271	C₂×C₈	—	2	1	no	—
1272	C₂×C₈	—	2	1	no	—
1273	C₂×C₈	—	2	1	no	—
1274	C₂×C₈	—	2	1	no	—
1275	C₂×C₈	—	2	1	no	—
1276	C₂×C₈	—	2	1	no	—
1277	C₂×C₈	—	2	1	no	—
1278	C₂×C₈	—	2	1	no	—
1279	C₂×C₈	—	2	1	no	—
1280	C₂×C₈	—	2	1	no	—
1281	C₂×C₈	—	4	2	no	—
1282	C₂×C₈	—	4	2	no	—
1283	C₂×C₈	—	8	1	no	—
1284	C₂×C₈	—	8	1	no	—
1285	C₂×C₈	—	8	1	no	—
1286	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1287	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1288	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1289	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1290	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1291	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1292	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1293	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1294	C₄⋊C₄	—	2	1	no	—
1295	C₄⋊C₄	—	2	1	no	—
1296	C₄⋊C₄	—	2	1	no	—
1297	C₄⋊C₄	—	2	1	no	—
1298	C₄⋊C₄	—	2	1	no	—
1299	C₄⋊C₄	—	2	1	no	—
1300	C₄⋊C₄	—	2	1	no	—
1301	C₄⋊C₄	—	2	1	no	—
1302	C₄⋊C₄	—	2	1	no	—
1303	C₄⋊C₄	—	2	1	no	—
1304	C₄⋊C₄	—	2	1	no	—
1305	C₄⋊C₄	—	2	1	no	—
1306	C₄⋊C₄	—	2	1	no	—
1307	C₄⋊C₄	—	2	1	no	—
1308	C₄⋊C₄	—	2	1	no	—
1309	C₄⋊C₄	—	2	1	no	—
1310	C₄⋊C₄	—	2	1	no	—
1311	C₄⋊C₄	—	2	1	no	—
1312	C₄⋊C₄	—	4	1	no	—
1313	C₄⋊C₄	—	4	1	no	—
1314	C₄⋊C₄	—	4	1	no	—
1315	C₄⋊C₄	—	4	1	no	—
1316	C₄⋊C₄	—	4	1	no	—
1317	C₄⋊C₄	—	4	1	no	—
1318	C₄⋊C₄	—	4	1	no	—
1319	C₄⋊C₄	—	4	1	no	—
1320	C₄⋊C₄	—	4	1	no	—
1321	C₄⋊C₄	—	4	1	no	—
1322	C₄⋊C₄	—	4	1	no	—
1323	C₄⋊C₄	—	4	1	no	—
1324	C₄⋊C₄	—	4	1	no	—
1325	C₄⋊C₄	—	4	1	no	—
1326	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1327	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1328	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1329	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1330	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1331	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1332	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1333	C₄⋊C₄	C₂²×D₄	1	1	yes	characteristic
1334	C₂²⋊C₄	—	2	1	no	—
1335	C₂²⋊C₄	—	2	1	no	—
1336	C₂²⋊C₄	—	2	1	no	—
1337	C₂²⋊C₄	—	2	1	no	—
1338	C₂²⋊C₄	—	2	1	no	—
1339	C₂²⋊C₄	—	2	1	no	—
1340	C₂²⋊C₄	—	2	1	no	—
1341	C₂²⋊C₄	—	2	1	no	—
1342	C₂²⋊C₄	—	2	1	no	—
1343	C₂²⋊C₄	—	2	1	no	—
1344	C₂²⋊C₄	—	2	1	no	—
1345	C₂²⋊C₄	—	2	1	no	—
1346	C₂²⋊C₄	—	2	1	no	—
1347	C₂²⋊C₄	—	2	1	no	—
1348	C₂²⋊C₄	—	2	1	no	—
1349	C₂²⋊C₄	—	2	1	no	—
1350	C₂²⋊C₄	—	4	1	no	—
1351	C₂²⋊C₄	—	4	1	no	—
1352	C₂²⋊C₄	—	4	1	no	—
1353	C₂²⋊C₄	—	4	1	no	—
1354	C₂²⋊C₄	—	4	1	no	—
1355	C₂²⋊C₄	—	4	1	no	—
1356	C₂²⋊C₄	—	4	1	no	—
1357	C₂²⋊C₄	—	4	1	no	—
1358	C₂²⋊C₄	—	4	1	no	—
1359	C₂²⋊C₄	—	4	1	no	—
1360	C₂²⋊C₄	—	4	1	no	—
1361	C₂²⋊C₄	—	4	1	no	—
1362	C₂²⋊C₄	—	4	1	no	—
1363	C₂²⋊C₄	—	4	1	no	—
1364	C₂²⋊C₄	—	4	1	no	—
1365	C₂²⋊C₄	—	4	1	no	—
1366	C₂²⋊C₄	—	4	1	no	—
1367	C₂²⋊C₄	—	4	1	no	—
1368	C₂²⋊C₄	—	4	1	no	—
1369	C₂²⋊C₄	—	4	1	no	—
1370	C₂²⋊C₄	—	4	1	no	—
1371	C₂²⋊C₄	—	4	1	no	—
1372	C₄²	—	2	1	no	—
1373	C₄²	—	2	1	no	—
1374	C₄²	—	2	1	no	—
1375	C₄²	—	2	1	no	—
1376	C₄²	—	4	1	no	—
1377	C₄²	—	4	1	no	—
1378	C₄²	—	4	1	no	—
1379	C₄²	—	4	1	no	—
1380	C₄²	—	4	1	no	—
1381	C₄²	—	4	1	no	—
1382	C₄²	C₂²×D₄	1	1	yes	characteristic
1383	C₄²	C₂²×D₄	1	1	yes	characteristic
1384	C₄²	H(5,𝔽₂)	1	1	yes	characteristic
1385	C₄²	C₂⁵	1	1	yes	characteristic
1386	C₂³	—	2	1	no	—
1387	C₂³	—	2	1	no	—
1388	C₂³	—	2	1	no	—
1389	C₂³	—	2	1	no	—
1390	C₂³	—	2	1	no	—
1391	C₂³	—	2	1	no	—
1392	C₂³	—	4	2	no	—
1393	C₂³	—	4	2	no	—
1394	C₂³	—	4	2	no	—
1395	C₂³	—	4	2	no	—
1396	C₂³	—	4	1	no	—
1397	C₂³	—	4	1	no	—
1398	C₂³	—	4	1	no	—
1399	C₂³	—	8	1	no	—
1400	C₂³	—	8	1	no	—
1401	C₂³	—	8	2	no	—
1402	C₂³	—	8	2	no	—
1403	C₂³	—	8	2	no	—
1404	C₂³	—	8	2	no	—
1405	C₂³	—	8	2	no	—
1406	C₂³	—	8	2	no	—
1407	C₂³	—	8	2	no	—
1408	C₂³	—	8	2	no	—
1409	C₂³	—	8	2	no	—
1410	C₂³	—	8	2	no	—
1411	C₂³	—	8	2	no	—
1412	C₂³	—	8	2	no	—
1413	C₂³	—	8	2	no	—
1414	C₂³	—	16	1	no	—
1415	C₂³	—	16	1	no	—
1416	C₂³	—	16	1	no	—
1417	C₂³	—	16	1	no	—
1418	C₂³	—	16	1	no	—
1419	C₂³	—	16	16	no	—
1420	C₂³	D₄²	1	1	yes	characteristic
1421	Q₈	—	2	1	no	—
1422	Q₈	—	2	1	no	—
1423	Q₈	—	2	1	no	—
1424	Q₈	—	4	1	no	—
1425	Q₈	—	4	1	no	—
1426	Q₈	—	4	1	no	—
1427	Q₈	—	4	1	no	—
1428	Q₈	—	4	1	no	—
1429	Q₈	—	4	1	no	—
1430	Q₈	—	4	1	no	—
1431	Q₈	—	4	1	no	—
1432	Q₈	—	8	2	no	—
1433	Q₈	—	8	2	no	—
1434	Q₈	—	8	1	no	—
1435	Q₈	—	16	1	no	—
1436	Q₈	—	16	1	no	—
1437	Q₈	C₂×AGL(1,ℤ/8)	1	2	yes	—
1438	D₄	—	2	1	no	—
1439	D₄	—	2	1	no	—
1440	D₄	—	2	1	no	—
1441	D₄	—	2	1	no	—
1442	D₄	—	2	1	no	—
1443	D₄	—	2	1	no	—
1444	D₄	—	2	1	no	—
1445	D₄	—	2	1	no	—
1446	D₄	—	2	1	no	—
1447	D₄	—	2	1	no	—
1448	D₄	—	4	2	no	—
1449	D₄	—	4	2	no	—
1450	D₄	—	4	2	no	—
1451	D₄	—	4	1	no	—
1452	D₄	—	4	1	no	—
1453	D₄	—	4	1	no	—
1454	D₄	—	4	1	no	—
1455	D₄	—	4	1	no	—
1456	D₄	—	4	1	no	—
1457	D₄	—	4	1	no	—
1458	D₄	—	4	1	no	—
1459	D₄	—	4	1	no	—
1460	D₄	—	4	1	no	—
1461	D₄	—	4	1	no	—
1462	D₄	—	4	1	no	—
1463	D₄	—	8	2	no	—
1464	D₄	—	8	1	no	—
1465	D₄	—	8	1	no	—
1466	D₄	—	8	1	no	—
1467	D₄	—	8	2	no	—
1468	D₄	—	8	2	no	—
1469	D₄	—	8	1	no	—
1470	D₄	—	8	2	no	—
1471	D₄	—	8	2	no	—
1472	D₄	—	8	2	no	—
1473	D₄	—	8	2	no	—
1474	D₄	—	8	2	no	—
1475	D₄	—	8	2	no	—
1476	D₄	—	8	2	no	—
1477	D₄	—	8	2	no	—
1478	D₄	—	8	2	no	—
1479	D₄	—	8	2	no	—
1480	D₄	—	8	2	no	—
1481	D₄	—	8	2	no	—
1482	D₄	—	8	2	no	—
1483	D₄	—	16	1	no	—
1484	D₄	—	16	1	no	—
1485	D₄	—	16	1	no	—
1486	D₄	—	16	1	no	—
1487	D₄	C₂×AGL(1,ℤ/8)	1	2	yes	—
1488	D₄	#577	1	2	yes	—
1489	C₂×C₄	—	2	1	no	—
1490	C₂×C₄	—	2	1	no	—
1491	C₂×C₄	—	2	1	no	—
1492	C₂×C₄	—	2	1	no	—
1493	C₂×C₄	—	2	1	no	—
1494	C₂×C₄	—	2	1	no	—
1495	C₂×C₄	—	2	1	no	—
1496	C₂×C₄	—	2	1	no	—
1497	C₂×C₄	—	2	1	no	—
1498	C₂×C₄	—	2	1	no	—
1499	C₂×C₄	—	2	1	no	—
1500	C₂×C₄	—	2	1	no	—
1501	C₂×C₄	—	2	1	no	—
1502	C₂×C₄	—	2	1	no	—
1503	C₂×C₄	—	4	1	no	—
1504	C₂×C₄	—	4	2	no	—
1505	C₂×C₄	—	4	2	no	—
1506	C₂×C₄	—	4	2	no	—
1507	C₂×C₄	—	4	2	no	—
1508	C₂×C₄	—	4	1	no	—
1509	C₂×C₄	—	4	1	no	—
1510	C₂×C₄	—	4	1	no	—
1511	C₂×C₄	—	4	1	no	—
1512	C₂×C₄	—	4	1	no	—
1513	C₂×C₄	—	4	1	no	—
1514	C₂×C₄	—	4	1	no	—
1515	C₂×C₄	—	4	1	no	—
1516	C₂×C₄	—	4	1	no	—
1517	C₂×C₄	—	4	1	no	—
1518	C₂×C₄	—	4	1	no	—
1519	C₂×C₄	—	4	1	no	—
1520	C₂×C₄	—	4	1	no	—
1521	C₂×C₄	—	4	1	no	—
1522	C₂×C₄	—	4	1	no	—
1523	C₂×C₄	—	4	1	no	—
1524	C₂×C₄	—	4	1	no	—
1525	C₂×C₄	—	8	1	no	—
1526	C₂×C₄	—	8	1	no	—
1527	C₂×C₄	—	8	1	no	—
1528	C₂×C₄	—	8	2	no	—
1529	C₂×C₄	—	8	2	no	—
1530	C₂×C₄	—	8	2	no	—
1531	C₂×C₄	—	8	2	no	—
1532	C₂×C₄	—	8	1	no	—
1533	C₂×C₄	—	8	2	no	—
1534	C₂×C₄	—	8	2	no	—
1535	C₂×C₄	—	16	1	no	—
1536	C₂×C₄	—	16	1	no	—
1537	C₂×C₄	D₄²	1	1	yes	characteristic
1538	C₂×C₄	D₄²	1	1	yes	characteristic
1539	C₂×C₄	D₄²	1	1	yes	characteristic
1540	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1541	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1542	C₂×C₄	C₂×H(5,𝔽₂)	1	1	yes	characteristic
1543	C₈	—	2	1	no	—
1544	C₈	—	2	1	no	—
1545	C₈	—	2	1	no	—
1546	C₈	—	2	1	no	—
1547	C₈	—	2	1	no	—
1548	C₈	—	2	1	no	—
1549	C₈	—	2	1	no	—
1550	C₈	—	4	1	no	—
1551	C₈	—	4	1	no	—
1552	C₈	—	4	1	no	—
1553	C₈	—	4	1	no	—
1554	C₈	—	4	1	no	—
1555	C₈	—	4	1	no	—
1556	C₈	—	4	1	no	—
1557	C₈	—	4	1	no	—
1558	C₈	—	4	1	no	—
1559	C₈	—	4	1	no	—
1560	C₈	C₂×AGL(1,ℤ/8)	1	2	yes	—
1561	C₂²	—	2	1	no	—
1562	C₂²	—	2	2	no	—
1563	C₂²	—	2	1	no	—
1564	C₂²	—	2	2	no	—
1565	C₂²	—	2	1	no	—
1566	C₂²	—	4	1	no	—
1567	C₂²	—	4	1	no	—
1568	C₂²	—	4	1	no	—
1569	C₂²	—	4	1	no	—
1570	C₂²	—	4	1	no	—
1571	C₂²	—	4	1	no	—
1572	C₂²	—	4	1	no	—
1573	C₂²	—	4	1	no	—
1574	C₂²	—	4	1	no	—
1575	C₂²	—	4	1	no	—
1576	C₂²	—	4	1	no	—
1577	C₂²	—	4	1	no	—
1578	C₂²	—	4	1	no	—
1579	C₂²	—	4	1	no	—
1580	C₂²	—	4	1	no	—
1581	C₂²	—	4	1	no	—
1582	C₂²	—	8	4	no	—
1583	C₂²	—	8	4	no	—
1584	C₂²	—	8	1	no	—
1585	C₂²	—	8	1	no	—
1586	C₂²	—	8	1	no	—
1587	C₂²	—	8	1	no	—
1588	C₂²	—	8	1	no	—
1589	C₂²	—	8	1	no	—
1590	C₂²	—	8	1	no	—
1591	C₂²	—	8	1	no	—
1592	C₂²	—	8	1	no	—
1593	C₂²	—	16	4	no	—
1594	C₂²	—	16	4	no	—
1595	C₂²	—	16	4	no	—
1596	C₂²	—	16	4	no	—
1597	C₂²	—	16	4	no	—
1598	C₂²	—	16	4	no	—
1599	C₂²	C₂×D₄²	1	1	yes	characteristic
1600	C₄	—	2	1	no	—
1601	C₄	—	2	2	no	—
1602	C₄	—	2	1	no	—
1603	C₄	—	2	1	no	—
1604	C₄	—	2	1	no	—
1605	C₄	—	4	1	no	—
1606	C₄	—	4	1	no	—
1607	C₄	—	4	1	no	—
1608	C₄	—	4	1	no	—
1609	C₄	—	4	1	no	—
1610	C₄	—	4	1	no	—
1611	C₄	—	4	1	no	—
1612	C₄	—	4	1	no	—
1613	C₄	—	4	1	no	—
1614	C₄	—	8	1	no	—
1615	C₄	—	8	1	no	—
1616	C₄	—	8	1	no	—
1617	C₄	—	8	1	no	—
1618	C₄	—	8	1	no	—
1619	C₄	C₂²×AGL(1,ℤ/8)	1	1	yes	characteristic
1620	C₄	C₂×#577	1	1	yes	characteristic
1621	C₄	#3585	1	1	yes	characteristic
1622	C₄	#3585	1	1	yes	characteristic
1623	C₂	—	4	1	no	—
1624	C₂	—	4	2	no	—
1625	C₂	—	4	2	no	—
1626	C₂	—	8	1	no	—
1627	C₂	—	8	1	no	—
1628	C₂	—	8	1	no	—
1629	C₂	—	8	1	no	—
1630	C₂	—	16	1	no	—
1631	C₂	—	16	1	no	—
1632	C₂	—	16	1	no	—
1633	C₂	D₄×AGL(1,ℤ/8)	1	1	yes	characteristic
1634	C₂	#61071	1	1	yes	characteristic
1635	C₂	#61107	1	1	yes	characteristic

	subgroup	G/H
center, socle	C₂²	C₂×D₄²
commutator, Frattini, cosocle	C₄²	C₂⁵
LCS	G ▷ C₄² ▷ C₂² ▷ C₁
UCS	C₁ ◁ C₂² ◁ C₂×C₄² ◁ G
LECS	G ▷ C₄² ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
1. #62151	C₂	semidirect
2. #61600	C₂	semidirect
3. #61557	C₂	semidirect
4. D₄×AGL(1,ℤ/8)	C₂	semidirect
5. #20314	C₂	semidirect
6. #20250	C₂	semidirect
7. #20203	C₂	semidirect
8. #20190	C₂	semidirect
9. #20158	C₂	semidirect
10. #20073	C₂	semidirect
11. #20054	C₂	semidirect
12. #20030	C₂	semidirect
13. #20026	C₂	semidirect
14. SD₁₆²	C₂	semidirect
15. #19900	C₂	semidirect
16. #19886	C₂	semidirect
17. #19804	C₂	semidirect
18. #19803	C₂	semidirect
19. #19771	C₂	semidirect
20. #19757	C₂	semidirect
21. #19713	C₂	semidirect
22. #19495	C₂	semidirect
23. #19467	C₂	semidirect
24. #19376	C₂	semidirect
25. #19307	C₂	semidirect
26. #18852	C₂	semidirect
27. #18822	C₂	semidirect
28. #18806	C₂	semidirect
29. #18747	C₂	semidirect
30. #18052	C₂	semidirect
31. #18008	C₂	semidirect
33. #3520	C₂²	semidirect
34. #3518	C₂²	semidirect
37. #3393	C₂²	semidirect
38. Q₈×SD₁₆	C₂²	semidirect
39. Q₈×SD₁₆	C₂²	semidirect
40. Q₈×D₈	C₂²	semidirect
41. #3369	C₂²	semidirect
42. #3367	C₂²	semidirect
43. #3362	C₂²	semidirect
44. #3358	C₂²	semidirect
47. #3354	C₂²	semidirect
48. #3354	C₂²	semidirect
50. #3353	C₂²	semidirect
52. #3325	C₂²	semidirect
55. #3324	C₂²	semidirect
56. #3324	C₂²	semidirect
61. #3303	C₂²	semidirect
62. #3298	C₂²	semidirect
64. #3294	C₂²	semidirect
68. D₄×SD₁₆	C₂²	semidirect
71. #3276	C₂²	semidirect
78. #3272	C₂²	semidirect
86. #3251	C₂²	semidirect
88. #3228	C₂²	semidirect
89. #3228	C₂²	semidirect
90. #3217	C₂²	semidirect
91. #3208	C₂²	semidirect
92. #3208	C₂²	semidirect
95. #3185	C₂²	semidirect
101. #3107	C₂²	semidirect
104. #3101	C₂²	semidirect
114. #2991	C₂²	semidirect
115. #2974	C₂²	semidirect
116. #2969	C₂²	semidirect
120. #1722	C₂²	semidirect
121. #1717	C₂²	semidirect
122. #1717	C₂²	semidirect
123. #1715	C₂²	semidirect
124. #1714	C₂²	semidirect
125. #1714	C₂²	semidirect
126. #1709	C₂²	semidirect
127. #1705	C₂²	semidirect
128. #1703	C₂²	semidirect
129. #1701	C₂²	semidirect
130. #1701	C₂²	semidirect
131. #1701	C₂²	semidirect
132. #1699	C₂²	semidirect
133. #1697	C₂²	semidirect
134. #1693	C₂²	semidirect
135. #1691	C₂²	semidirect
136. #1691	C₂²	semidirect
137. #1689	C₂²	semidirect
138. #1688	C₂²	semidirect
139. #1687	C₂²	semidirect
140. #1686	C₂²	semidirect
141. #1685	C₂²	semidirect
142. #1685	C₂²	semidirect
143. #1685	C₂²	semidirect
144. #1683	C₂²	semidirect
145. #1682	C₂²	semidirect
146. #1682	C₂²	semidirect
147. #1681	C₂²	semidirect
148. #1679	C₂²	semidirect
149. #1677	C₂²	semidirect
150. #1673	C₂²	semidirect
151. #1671	C₂²	semidirect
152. #1671	C₂²	semidirect
153. #1669	C₂²	semidirect
154. #1668	C₂²	semidirect
155. #1667	C₂²	semidirect
156. #1666	C₂²	semidirect
157. #1666	C₂²	semidirect
158. #1666	C₂²	semidirect
159. #1665	C₂²	semidirect
160. #1654	C₂²	semidirect
161. #1654	C₂²	semidirect
162. #1651	C₂²	semidirect
163. #1651	C₂²	semidirect
164. #1650	C₂²	semidirect
165. #1649	C₂²	semidirect
166. #1647	C₂²	semidirect
167. #1647	C₂²	semidirect
168. #1642	C₂²	semidirect
169. #1641	C₂²	semidirect
172. #1639	C₂²	semidirect
173. #1639	C₂²	semidirect
174. #1639	C₂²	semidirect
175. #1639	C₂²	semidirect
178. #1629	C₂²	semidirect
179. #1629	C₂²	semidirect
180. #1628	C₂²	semidirect
181. #1628	C₂²	semidirect
182. #1628	C₂²	semidirect
183. #1627	C₂²	semidirect
184. #1627	C₂²	semidirect
185. #1627	C₂²	semidirect
186. #1625	C₂²	semidirect
187. #1625	C₂²	semidirect
188. #1624	C₂²	semidirect
189. #1624	C₂²	semidirect
190. #1623	C₂²	semidirect
191. #1623	C₂²	semidirect
192. #1594	C₂²	semidirect
193. #1592	C₂²	semidirect
194. #1589	C₂²	semidirect
195. #1589	C₂²	semidirect
196. #1588	C₂²	semidirect
197. #1586	C₂²	semidirect
198. #1586	C₂²	semidirect
199. #1585	C₂²	semidirect
200. #1583	C₂²	semidirect
201. #1583	C₂²	semidirect
202. #1581	C₂²	semidirect
203. #1581	C₂²	semidirect
204. #1580	C₂²	semidirect
205. SD₁₆⋊C₈	C₂²	semidirect
206. C₈×SD₁₆	C₂²	semidirect
207. C₈×SD₁₆	C₂²	semidirect
208. #1574	C₂²	semidirect
209. #1569	C₂²	semidirect
210. #1561	C₂²	semidirect
211. #1559	C₂²	semidirect
212. #1553	C₂²	semidirect
213. #1545	C₂²	semidirect
214. #1495	C₂²	semidirect
215. #1488	C₂²	semidirect
216. #1486	C₂²	semidirect
218. #1453	C₂²	semidirect
242. Q₈²	C₂³	semidirect
247. #556	C₂³	semidirect
249. #555	C₂³	semidirect
256. D₄×Q₈	C₂³	semidirect
304. #500	C₂³	semidirect
305. #500	C₂³	semidirect
308. #498	C₂³	semidirect
309. #498	C₂³	semidirect
310. #498	C₂³	semidirect
315. #494	C₂³	semidirect
327. #487	C₂³	semidirect
328. #487	C₂³	semidirect
335. #486	C₂³	semidirect
336. #486	C₂³	semidirect
337. #486	C₂³	semidirect
338. #486	C₂³	semidirect
380. #475	C₂³	semidirect
381. #475	C₂³	semidirect
389. #474	C₂³	semidirect
390. #474	C₂³	semidirect
428. #462	C₂³	semidirect
435. #461	C₂³	semidirect
445. #460	C₂³	semidirect
454. #459	C₂³	semidirect
499. #446	C₂³	semidirect
500. C₈×Q₈	C₂³	semidirect
501. C₈×Q₈	C₂³	semidirect
502. C₈×Q₈	C₂³	semidirect
538. #436	C₂³	semidirect
539. #436	C₂³	semidirect
540. #436	C₂³	semidirect
550. C₈×D₄	C₂³	semidirect
583. #335	C₂³	semidirect
584. #335	C₂³	semidirect
585. #335	C₂³	semidirect
586. #335	C₂³	semidirect
587. #334	C₂³	semidirect
588. #334	C₂³	semidirect
589. #334	C₂³	semidirect
590. #334	C₂³	semidirect
591. #333	C₂³	semidirect
592. #333	C₂³	semidirect
593. #332	C₂³	semidirect
594. #332	C₂³	semidirect
595. #332	C₂³	semidirect
596. #332	C₂³	semidirect
597. #332	C₂³	semidirect
598. #332	C₂³	semidirect
599. #332	C₂³	semidirect
600. #332	C₂³	semidirect
605. #331	C₂³	semidirect
606. #331	C₂³	semidirect
607. Q₈⋊C₈	C₂³	semidirect
608. Q₈⋊C₈	C₂³	semidirect
609. Q₈⋊C₈	C₂³	semidirect
610. Q₈⋊C₈	C₂³	semidirect
619. D₄⋊C₈	C₂³	semidirect
620. D₄⋊C₈	C₂³	semidirect
621. D₄⋊C₈	C₂³	semidirect
622. D₄⋊C₈	C₂³	semidirect
623. #322	C₂³	semidirect
624. #322	C₂³	semidirect
625. #322	C₂³	semidirect
626. C₈²	C₂³	semidirect
1244. SD₁₆	AGL(1,ℤ/8)	semidirect

Maximal subgroups

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

subgroup	index
#62151	2
#61600	2
#61557	2
D₄×AGL(1,ℤ/8)	2
#20314	2
#20250	2
#20203	2
#20190	2
#20158	2
#20073	2
#20054	2
#20030	2
#20026	2
SD₁₆²	2
#19900	2
#19886	2
#19804	2
#19803	2
#19771	2
#19757	2
#19713	2
#19495	2
#19467	2
#19376	2
#19307	2
#18852	2
#18822	2
#18806	2
#18747	2
#18052	2
#18008	2