Subgroups — #6346029

Order 512.

1644 conjugacy classes of subgroups.

The subgroup lattice has 1561 nodes — too large to display as a diagram.

Conjugacy classes of subgroups

#	subgroup	G/H	class size	multiplicity	normal?	properties
1	#61437	C₂	1	1	yes	maximal, characteristic
2	#60298	C₂	1	1	yes	maximal, characteristic, complemented
3	#60239	C₂	1	1	yes	maximal, characteristic, complemented
4	#18089	C₂	1	1	yes	maximal, characteristic, complemented
5	#18080	C₂	1	1	yes	maximal, characteristic, complemented
6	#18076	C₂	1	1	yes	maximal, characteristic, complemented
7	#18064	C₂	1	1	yes	maximal, characteristic, complemented
8	#18050	C₂	1	1	yes	maximal, characteristic, complemented
9	#18046	C₂	1	1	yes	maximal, characteristic, complemented
10	#18028	C₂	1	1	yes	maximal, characteristic, complemented
11	#18026	C₂	1	1	yes	maximal, characteristic, complemented
12	#18022	C₂	1	1	yes	maximal, characteristic, complemented
13	#18020	C₂	1	1	yes	maximal, characteristic, complemented
14	#18008	C₂	1	1	yes	maximal, characteristic, complemented
15	#18007	C₂	1	1	yes	maximal, characteristic, complemented
16	#17971	C₂	1	1	yes	maximal, characteristic, complemented
17	#17968	C₂	1	1	yes	maximal, characteristic, complemented
18	#17964	C₂	1	1	yes	maximal, characteristic, complemented
19	#17924	C₂	1	1	yes	maximal, characteristic, complemented
20	#17922	C₂	1	1	yes	maximal, characteristic, complemented
21	#17920	C₂	1	1	yes	maximal, characteristic, complemented
22	#17918	C₂	1	1	yes	maximal, characteristic, complemented
23	#17917	C₂	1	1	yes	maximal, characteristic, complemented
24	#17914	C₂	1	1	yes	maximal, characteristic, complemented
25	#17854	C₂	1	1	yes	maximal, characteristic, complemented
26	#17852	C₂	1	1	yes	maximal, characteristic, complemented
27	C₈×AGL(1,ℤ/8)	C₂	1	1	yes	maximal, characteristic, complemented
28	#17833	C₂	1	1	yes	maximal, characteristic, complemented
29	#17513	C₂	1	1	yes	maximal, characteristic, complemented
30	#17511	C₂	1	1	yes	maximal, characteristic, complemented
31	#17340	C₂	1	1	yes	maximal, characteristic, complemented
32	#3475	C₂²	1	1	yes	characteristic
33	D₄×#41	C₂²	1	1	yes	characteristic
34	#3397	C₄	1	1	yes	characteristic
35	#3384	C₄	1	1	yes	characteristic
36	#3367	C₄	1	1	yes	characteristic
37	#3366	C₄	1	1	yes	characteristic
38	#3354	C₄	1	1	yes	characteristic
39	#3343	C₄	1	1	yes	characteristic
40	#3343	C₄	1	1	yes	characteristic
41	#3330	C₄	1	1	yes	characteristic
42	#3325	C₄	1	1	yes	characteristic
43	#3310	C₄	1	1	yes	characteristic
44	#3310	C₄	1	1	yes	characteristic
45	#3306	C₄	1	1	yes	characteristic
46	#3306	C₄	1	1	yes	characteristic
47	#3272	C₄	1	1	yes	characteristic
48	#3264	C₄	1	1	yes	characteristic
49	#3264	C₄	1	1	yes	characteristic
50	#3171	C₂²	1	1	yes	characteristic
51	#3171	C₂²	1	1	yes	characteristic
52	#3167	C₂²	1	1	yes	characteristic
53	#3106	C₂²	1	1	yes	characteristic
54	#3106	C₂²	1	1	yes	characteristic
55	#3105	C₂²	1	1	yes	characteristic
56	#3105	C₂²	1	1	yes	characteristic
57	#3101	C₂²	1	1	yes	characteristic
58	#3100	C₂²	1	1	yes	characteristic
59	#2994	—	2	1	no	—
60	#2994	C₂²	1	1	yes	characteristic, complemented
61	#2993	C₂²	1	1	yes	characteristic, complemented
62	#2992	—	2	1	no	—
63	#2990	C₂²	1	1	yes	characteristic, complemented
64	#2988	C₂²	1	1	yes	characteristic, complemented
65	#2986	C₂²	1	1	yes	characteristic, complemented
66	#2985	C₂²	1	1	yes	characteristic, complemented
67	#2981	C₂²	1	1	yes	characteristic
68	#2981	C₂²	1	1	yes	characteristic, complemented
69	#2979	C₂²	1	1	yes	characteristic
70	#2979	C₂²	1	1	yes	characteristic, complemented
71	#2977	—	2	1	no	—
72	#2977	—	2	1	no	—
73	#2977	—	2	1	no	—
74	#2976	—	2	1	no	—
75	#2976	—	2	1	no	—
76	#2976	—	2	1	no	—
77	#2974	C₂²	1	1	yes	characteristic
78	#2974	C₂²	1	1	yes	characteristic, complemented
79	#2974	C₂²	1	1	yes	characteristic, complemented
80	#2972	C₂²	1	1	yes	characteristic
81	#2972	C₂²	1	1	yes	characteristic, complemented
82	#2972	C₂²	1	1	yes	characteristic, complemented
83	#2970	C₂²	1	1	yes	characteristic, complemented
84	#2969	C₂²	1	1	yes	characteristic, complemented
85	#2968	—	2	1	no	—
86	#2966	—	2	1	no	—
87	#2966	C₂²	1	1	yes	characteristic, complemented
88	#2965	C₂²	1	1	yes	characteristic
89	#2965	C₂²	1	1	yes	characteristic
90	C₈×#41	C₂²	1	1	yes	characteristic, complemented
91	C₄×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
92	C₄×AGL(1,ℤ/8)	C₂²	1	1	yes	characteristic
93	C₂×C₄×D₈	C₂²	1	1	yes	characteristic
94	#2935	C₂²	1	1	yes	characteristic, complemented
95	D₄×M₁₆	C₂²	1	1	yes	characteristic, complemented
96	#2933	—	2	1	no	—
97	#2931	C₂²	1	1	yes	characteristic, complemented
98	#2929	—	2	1	no	—
99	C₂×C₈×D₄	C₂²	1	1	yes	characteristic, complemented
100	#2925	C₂²	1	1	yes	characteristic
101	#2925	C₂²	1	1	yes	characteristic
102	#2924	—	2	1	no	—
103	#2922	C₂²	1	1	yes	characteristic
104	C₂×#433	—	2	1	no	—
105	#2880	—	2	1	no	—
106	C₂×#408	—	2	1	no	—
107	#1594	C₂²	1	1	yes	characteristic, complemented
108	#1594	C₂²	1	1	yes	characteristic, complemented
109	#1594	C₂²	1	1	yes	characteristic, complemented
110	#1592	C₂²	1	1	yes	characteristic, complemented
111	#1592	C₂²	1	1	yes	characteristic, complemented
112	#1592	C₂²	1	1	yes	characteristic, complemented
113	#1592	C₂²	1	1	yes	characteristic, complemented
114	#1592	C₂²	1	1	yes	characteristic, complemented
115	#1590	C₂²	1	1	yes	characteristic, complemented
116	#1590	C₂²	1	1	yes	characteristic, complemented
117	#1590	C₂²	1	1	yes	characteristic, complemented
118	#1589	C₂²	1	1	yes	characteristic, complemented
119	#1588	C₂²	1	1	yes	characteristic, complemented
120	#1586	C₂²	1	1	yes	characteristic, complemented
121	#1586	C₂²	1	1	yes	characteristic, complemented
122	#1586	C₂²	1	1	yes	characteristic, complemented
123	#1586	C₂²	1	1	yes	characteristic, complemented
124	#1585	C₂²	1	1	yes	characteristic, complemented
125	#1585	C₂²	1	1	yes	characteristic, complemented
126	#1585	C₂²	1	1	yes	characteristic, complemented
127	#1583	C₂²	1	1	yes	characteristic, complemented
128	#1583	C₂²	1	1	yes	characteristic, complemented
129	#1583	C₂²	1	1	yes	characteristic, complemented
130	#1582	C₂²	1	1	yes	characteristic, complemented
131	#1582	C₂²	1	1	yes	characteristic, complemented
132	#1582	C₂²	1	1	yes	characteristic, complemented
133	#1582	C₂²	1	1	yes	characteristic, complemented
134	#1582	C₂²	1	1	yes	characteristic, complemented
135	#1581	C₂²	1	1	yes	characteristic
136	#1581	C₂²	1	1	yes	characteristic
137	#1581	C₂²	1	1	yes	characteristic, complemented
138	#1581	C₂²	1	1	yes	characteristic, complemented
139	#1581	C₂²	1	1	yes	characteristic, complemented
140	#1581	C₂²	1	1	yes	characteristic, complemented
141	#1581	C₂²	1	1	yes	characteristic, complemented
142	#1581	C₂²	1	1	yes	characteristic, complemented
143	#1580	C₂²	1	1	yes	characteristic
144	#1580	C₂²	1	1	yes	characteristic
145	#1580	C₂²	1	1	yes	characteristic
146	#1580	C₂²	1	1	yes	characteristic
147	#1580	C₂²	1	1	yes	characteristic, complemented
148	#1580	C₂²	1	1	yes	characteristic, complemented
149	#1580	C₂²	1	1	yes	characteristic, complemented
150	#1580	C₂²	1	1	yes	characteristic, complemented
151	#1580	C₂²	1	1	yes	characteristic, complemented
152	SD₁₆⋊C₈	C₂²	1	1	yes	characteristic, complemented
153	SD₁₆⋊C₈	C₂²	1	1	yes	characteristic, complemented
154	SD₁₆⋊C₈	C₂²	1	1	yes	characteristic, complemented
155	SD₁₆⋊C₈	C₂²	1	1	yes	characteristic, complemented
156	SD₁₆⋊C₈	C₂²	1	1	yes	characteristic, complemented
157	SD₁₆⋊C₈	C₂²	1	1	yes	characteristic, complemented
158	SD₁₆⋊C₈	C₂²	1	1	yes	characteristic, complemented
159	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
160	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
161	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
162	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
163	C₈×SD₁₆	C₂²	1	1	yes	characteristic, complemented
164	C₈×D₈	C₂²	1	1	yes	characteristic
165	C₈×D₈	C₂²	1	1	yes	characteristic
166	C₈×D₈	C₂²	1	1	yes	characteristic, complemented
167	C₈×D₈	C₂²	1	1	yes	characteristic, complemented
168	C₈×D₈	C₂²	1	1	yes	characteristic, complemented
169	C₈×D₈	C₂²	1	1	yes	characteristic, complemented
170	C₈×D₈	C₂²	1	1	yes	characteristic, complemented
171	#1574	C₂²	1	1	yes	characteristic, complemented
172	#1574	C₂²	1	1	yes	characteristic, complemented
173	#1573	C₂²	1	1	yes	characteristic, complemented
174	#1573	C₂²	1	1	yes	characteristic, complemented
175	#1572	C₂²	1	1	yes	characteristic, complemented
176	#1572	C₂²	1	1	yes	characteristic, complemented
177	#1569	C₂²	1	1	yes	characteristic, complemented
178	#1569	C₂²	1	1	yes	characteristic, complemented
179	#1568	C₂²	1	1	yes	characteristic, complemented
180	#1565	C₂²	1	1	yes	characteristic, complemented
181	#1565	C₂²	1	1	yes	characteristic, complemented
182	#1564	C₂²	1	1	yes	characteristic, complemented
183	#1497	C₂²	1	1	yes	characteristic, complemented
184	#1496	C₂²	1	1	yes	characteristic
185	#1496	C₂²	1	1	yes	characteristic, complemented
186	#1495	C₂²	1	1	yes	characteristic, complemented
187	#1494	C₂²	1	1	yes	characteristic, complemented
188	#1492	C₂²	1	1	yes	characteristic, complemented
189	#1490	C₂²	1	1	yes	characteristic
190	#1490	C₂²	1	1	yes	characteristic, complemented
191	#1490	C₂²	1	1	yes	characteristic, complemented
192	#1489	C₂²	1	1	yes	characteristic, complemented
193	#1488	C₂²	1	1	yes	characteristic, complemented
194	#1486	C₂²	1	1	yes	characteristic, complemented
195	#1485	C₂²	1	1	yes	characteristic, complemented
196	#1484	C₂²	1	1	yes	characteristic
197	#1484	C₂²	1	1	yes	characteristic, complemented
198	#1483	C₂²	1	1	yes	characteristic, complemented
199	#1482	C₂²	1	1	yes	characteristic, complemented
200	#1480	C₂²	1	1	yes	characteristic, complemented
201	#1478	C₂²	1	1	yes	characteristic
202	#1478	C₂²	1	1	yes	characteristic, complemented
203	#1478	C₂²	1	1	yes	characteristic, complemented
204	#1477	C₂²	1	1	yes	characteristic, complemented
205	#1476	C₂²	1	1	yes	characteristic, complemented
206	C₂×D₄⋊C₈	C₂²	1	1	yes	characteristic, complemented
207	#1455	C₂²	1	1	yes	characteristic, complemented
208	#1454	C₂²	1	1	yes	characteristic, complemented
209	#1454	C₂²	1	1	yes	characteristic, complemented
210	#1453	C₂²	1	1	yes	characteristic, complemented
211	#1453	C₂²	1	1	yes	characteristic, complemented
212	#1453	C₂²	1	1	yes	characteristic, complemented
213	#1452	C₂²	1	1	yes	characteristic, complemented
214	#1451	C₂²	1	1	yes	characteristic, complemented
215	#1451	C₂²	1	1	yes	characteristic, complemented
216	#1450	C₂²	1	1	yes	characteristic, complemented
217	C₈×M₁₆	C₂²	1	1	yes	characteristic, complemented
218	C₈×M₁₆	C₂²	1	1	yes	characteristic, complemented
219	C₂²×#41	—	2	1	no	—
220	C₂×AGL(1,ℤ/8)	C₂×C₄	1	1	yes	characteristic
221	C₂×AGL(1,ℤ/8)	C₂×C₄	1	1	yes	characteristic
222	C₂²×D₈	C₂×C₄	1	1	yes	characteristic
223	C₂×#131	—	2	1	no	—
224	C₂×#131	—	2	1	no	—
225	C₂²×M₁₆	—	2	1	no	—
226	C₂³×C₈	—	2	1	no	—
227	#556	C₂×C₄	1	1	yes	characteristic
228	#555	C₂×C₄	1	1	yes	characteristic
229	#554	C₂×C₄	1	1	yes	characteristic
230	#553	—	2	1	no	—
231	#552	—	2	1	no	—
232	#552	C₂×C₄	1	1	yes	characteristic
233	#552	C₂×C₄	1	1	yes	characteristic
234	#551	—	2	1	no	—
235	#551	—	2	1	no	—
236	#550	C₂×C₄	1	1	yes	characteristic
237	D₄×Q₈	C₂×C₄	1	1	yes	characteristic
238	#548	—	2	1	no	—
239	#547	C₂×C₄	1	1	yes	characteristic
240	#547	C₂×C₄	1	1	yes	characteristic
241	#547	C₂×C₄	1	1	yes	characteristic
242	#547	C₂×C₄	1	1	yes	characteristic
243	#546	—	2	1	no	—
244	#546	—	2	1	no	—
245	#546	—	2	1	no	—
246	#546	C₂×C₄	1	1	yes	characteristic
247	#546	C₂×C₄	1	1	yes	characteristic
248	D₄²	C₂×C₄	1	1	yes	characteristic
249	D₄²	C₂×C₄	1	1	yes	characteristic
250	D₄²	C₂×C₄	1	1	yes	characteristic
251	#533	C₂³	1	1	yes	characteristic
252	#532	C₂³	1	1	yes	characteristic
253	#532	C₂³	1	1	yes	characteristic
254	#532	C₂³	1	1	yes	characteristic
255	#529	—	2	1	no	—
256	#529	—	2	1	no	—
257	#529	C₂³	1	1	yes	characteristic
258	#529	C₂³	1	1	yes	characteristic
259	#525	—	2	1	no	—
260	#525	—	2	1	no	—
261	#525	—	2	1	no	—
262	#525	—	2	1	no	—
263	C₄×#41	C₂³	1	1	yes	characteristic
264	C₄×#41	C₂³	1	1	yes	characteristic
265	C₄×#41	C₂³	1	1	yes	characteristic
266	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
267	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
268	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
269	C₂×C₄×D₄	C₂³	1	1	yes	characteristic
270	C₂×#117	—	2	1	no	—
271	#501	C₂×C₄	1	1	yes	characteristic
272	#501	C₂×C₄	1	1	yes	characteristic
273	#498	C₂×C₄	1	1	yes	characteristic
274	#496	C₂×C₄	1	1	yes	characteristic
275	#496	C₂×C₄	1	1	yes	characteristic
276	#492	C₂×C₄	1	1	yes	characteristic
277	#490	C₂×C₄	1	1	yes	characteristic
278	#490	C₂×C₄	1	1	yes	characteristic
279	#489	C₂×C₄	1	1	yes	characteristic
280	#489	C₂×C₄	1	1	yes	characteristic
281	#487	C₂×C₄	1	1	yes	characteristic
282	#486	C₂×C₄	1	1	yes	characteristic
283	#484	C₂×C₄	1	1	yes	characteristic
284	#484	C₂×C₄	1	1	yes	characteristic
285	#483	C₂×C₄	1	1	yes	characteristic
286	#483	C₂×C₄	1	1	yes	characteristic
287	#482	C₂×C₄	1	1	yes	characteristic
288	#482	C₂×C₄	1	1	yes	characteristic
289	#482	C₂×C₄	1	1	yes	characteristic
290	#482	C₂×C₄	1	1	yes	characteristic
291	#481	C₂×C₄	1	1	yes	characteristic
292	#481	C₂×C₄	1	1	yes	characteristic
293	#480	C₂×C₄	1	1	yes	characteristic
294	#480	C₂×C₄	1	1	yes	characteristic
295	#478	C₂×C₄	1	1	yes	characteristic
296	#478	C₂×C₄	1	1	yes	characteristic
297	#478	C₂×C₄	1	1	yes	characteristic
298	#478	C₂×C₄	1	1	yes	characteristic
299	#477	C₂×C₄	1	1	yes	characteristic
300	#477	C₂×C₄	1	1	yes	characteristic
301	#476	C₂×C₄	1	1	yes	characteristic
302	#476	C₂×C₄	1	1	yes	characteristic
303	#476	C₂×C₄	1	1	yes	characteristic
304	#476	C₂×C₄	1	1	yes	characteristic
305	#474	C₂×C₄	1	1	yes	characteristic
306	#474	C₂×C₄	1	1	yes	characteristic
307	#469	C₂×C₄	1	1	yes	characteristic
308	#469	C₂×C₄	1	1	yes	characteristic
309	#469	C₂×C₄	1	1	yes	characteristic
310	#469	C₂×C₄	1	1	yes	characteristic
311	#468	C₂×C₄	1	1	yes	characteristic
312	#468	C₂×C₄	1	1	yes	characteristic
313	#468	C₂×C₄	1	1	yes	characteristic
314	#468	C₂×C₄	1	1	yes	characteristic
315	#465	C₂×C₄	1	1	yes	characteristic
316	#465	C₂×C₄	1	1	yes	characteristic
317	#465	C₂×C₄	1	1	yes	characteristic
318	#465	C₂×C₄	1	1	yes	characteristic
319	#463	C₂×C₄	1	1	yes	characteristic
320	#463	C₂×C₄	1	1	yes	characteristic
321	#463	C₂×C₄	1	1	yes	characteristic
322	#463	C₂×C₄	1	1	yes	characteristic
323	#461	C₂×C₄	1	1	yes	characteristic
324	#461	C₂×C₄	1	1	yes	characteristic
325	#460	C₂×C₄	1	1	yes	characteristic
326	#460	C₂×C₄	1	1	yes	characteristic
327	#459	C₂×C₄	1	1	yes	characteristic
328	#459	C₂×C₄	1	1	yes	characteristic
329	#459	C₂×C₄	1	1	yes	characteristic
330	#459	C₂×C₄	1	1	yes	characteristic
331	#450	C₂×C₄	1	1	yes	characteristic
332	#450	C₂×C₄	1	1	yes	characteristic
333	#450	C₂×C₄	1	1	yes	characteristic
334	#450	C₂×C₄	1	1	yes	characteristic
335	#449	C₂×C₄	1	1	yes	characteristic
336	#449	C₂×C₄	1	1	yes	characteristic
337	#449	C₂×C₄	1	1	yes	characteristic
338	#449	C₂×C₄	1	1	yes	characteristic
339	#447	C₂×C₄	1	1	yes	characteristic
340	#447	C₂×C₄	1	1	yes	characteristic
341	#447	C₂×C₄	1	1	yes	characteristic
342	#447	C₂×C₄	1	1	yes	characteristic
343	#446	—	2	1	no	—
344	#446	—	2	1	no	—
345	#446	—	2	1	no	—
346	#446	—	2	1	no	—
347	#446	C₂×C₄	1	1	yes	characteristic
348	#446	C₂×C₄	1	1	yes	characteristic
349	#446	C₂³	1	1	yes	characteristic
350	#446	C₂³	1	1	yes	characteristic
351	#446	C₂³	1	1	yes	characteristic
352	#446	C₂³	1	1	yes	characteristic
353	C₈×Q₈	—	2	1	no	—
354	C₈×Q₈	C₂³	1	1	yes	characteristic
355	C₈×Q₈	C₂³	1	1	yes	characteristic
356	C₈×Q₈	C₂³	1	1	yes	characteristic
357	C₈×Q₈	C₂³	1	1	yes	characteristic
358	#442	C₂×C₄	1	1	yes	characteristic
359	#442	C₂×C₄	1	1	yes	characteristic
360	#442	C₂×C₄	1	1	yes	characteristic
361	#442	C₂×C₄	1	1	yes	characteristic
362	#440	C₂×C₄	1	1	yes	characteristic
363	#440	C₂×C₄	1	1	yes	characteristic
364	#440	C₂×C₄	1	1	yes	characteristic
365	#440	C₂×C₄	1	1	yes	characteristic
366	C₄×SD₁₆	C₂³	1	1	yes	characteristic
367	C₄×SD₁₆	C₂³	1	1	yes	characteristic
368	C₄×SD₁₆	C₂³	1	1	yes	characteristic
369	C₄×SD₁₆	C₂³	1	1	yes	characteristic
370	C₄×SD₁₆	C₂³	1	1	yes	characteristic
371	C₄×SD₁₆	C₂³	1	1	yes	characteristic
372	C₄×SD₁₆	C₂³	1	1	yes	characteristic
373	C₄×SD₁₆	C₂³	1	1	yes	characteristic
374	C₄×D₈	C₂×C₄	1	1	yes	characteristic
375	C₄×D₈	C₂×C₄	1	1	yes	characteristic
376	C₄×D₈	C₂×C₄	1	1	yes	characteristic
377	C₄×D₈	C₂×C₄	1	1	yes	characteristic
378	C₄×D₈	C₂³	1	1	yes	characteristic
379	C₄×D₈	C₂³	1	1	yes	characteristic
380	C₄×D₈	C₂³	1	1	yes	characteristic
381	C₄×D₈	C₂³	1	1	yes	characteristic
382	C₄×D₈	C₂³	1	1	yes	characteristic
383	C₄×D₈	C₂³	1	1	yes	characteristic
384	C₄×D₈	C₂³	1	1	yes	characteristic
385	C₄×D₈	C₂³	1	1	yes	characteristic
386	#436	—	2	1	no	—
387	#436	—	2	1	no	—
388	#436	—	2	1	no	—
389	#436	—	2	1	no	—
390	#436	—	2	1	no	—
391	#436	—	2	1	no	—
392	#436	C₂×C₄	1	1	yes	characteristic
393	#436	C₂×C₄	1	1	yes	characteristic
394	#436	C₂³	1	1	yes	characteristic
395	#436	C₂³	1	1	yes	characteristic
396	#436	C₂³	1	1	yes	characteristic
397	#436	C₂³	1	1	yes	characteristic
398	#436	C₂³	1	1	yes	characteristic
399	#436	C₂³	1	1	yes	characteristic
400	#436	C₂³	1	1	yes	characteristic
401	#436	C₂³	1	1	yes	characteristic
402	#435	—	2	1	no	—
403	#435	—	2	1	no	—
404	#435	—	2	1	no	—
405	#435	—	2	1	no	—
406	#435	—	2	1	no	—
407	#435	—	2	1	no	—
408	#435	—	2	1	no	—
409	#435	—	2	1	no	—
410	#435	—	2	1	no	—
411	#435	—	2	1	no	—
412	#435	—	2	1	no	—
413	#435	—	2	1	no	—
414	#435	—	2	1	no	—
415	#435	—	2	1	no	—
416	#435	—	2	1	no	—
417	#435	—	2	1	no	—
418	#435	—	2	1	no	—
419	#435	—	2	1	no	—
420	#435	—	2	1	no	—
421	#435	—	2	1	no	—
422	#435	—	2	1	no	—
423	#435	—	2	1	no	—
424	#435	—	2	1	no	—
425	#435	—	2	1	no	—
426	#435	C₂×C₄	1	1	yes	characteristic
427	#435	C₂×C₄	1	1	yes	characteristic
428	#435	C₂×C₄	1	1	yes	characteristic
429	#435	C₂×C₄	1	1	yes	characteristic
430	C₈×D₄	—	2	1	no	—
431	C₈×D₄	—	2	1	no	—
432	C₈×D₄	—	2	1	no	—
433	C₈×D₄	—	2	1	no	—
434	C₈×D₄	—	2	1	no	—
435	C₈×D₄	—	2	1	no	—
436	C₈×D₄	—	2	1	no	—
437	C₈×D₄	—	2	1	no	—
438	C₈×D₄	—	2	1	no	—
439	C₈×D₄	—	2	1	no	—
440	C₈×D₄	—	2	1	no	—
441	C₈×D₄	—	2	1	no	—
442	C₈×D₄	—	2	1	no	—
443	C₈×D₄	—	2	1	no	—
444	C₈×D₄	—	2	1	no	—
445	C₈×D₄	—	2	1	no	—
446	C₈×D₄	—	2	1	no	—
447	C₈×D₄	C₂³	1	1	yes	characteristic
448	C₈×D₄	C₂³	1	1	yes	characteristic
449	C₈×D₄	C₂³	1	1	yes	characteristic
450	C₈×D₄	C₂³	1	1	yes	characteristic
451	C₈×D₄	C₂³	1	1	yes	characteristic
452	C₈×D₄	C₂³	1	1	yes	characteristic
453	C₈×D₄	C₂³	1	1	yes	characteristic
454	C₈×D₄	C₂³	1	1	yes	characteristic
455	C₈×D₄	C₂³	1	1	yes	characteristic
456	C₈×D₄	C₂³	1	1	yes	characteristic
457	C₈×D₄	C₂³	1	1	yes	characteristic
458	C₈×D₄	C₂³	1	1	yes	characteristic
459	C₈×D₄	C₂³	1	1	yes	characteristic
460	C₈×D₄	C₂³	1	1	yes	characteristic
461	C₈×D₄	C₂³	1	1	yes	characteristic
462	C₈×D₄	C₂³	1	1	yes	characteristic
463	#433	—	2	1	no	—
464	#433	—	2	1	no	—
465	#433	—	2	1	no	—
466	#433	—	2	1	no	—
467	#433	—	2	1	no	—
468	#433	—	2	1	no	—
469	#433	—	2	1	no	—
470	#433	—	2	1	no	—
471	#433	—	2	1	no	—
472	#433	—	2	1	no	—
473	#433	—	2	1	no	—
474	#433	—	2	1	no	—
475	#433	D₄	1	1	yes	characteristic
476	#433	D₄	1	1	yes	characteristic
477	#433	D₄	1	1	yes	characteristic
478	#433	D₄	1	1	yes	characteristic
479	#432	—	2	1	no	—
480	#432	—	2	1	no	—
481	#432	C₂³	1	1	yes	characteristic
482	#432	C₂³	1	1	yes	characteristic
483	#432	C₂³	1	1	yes	characteristic
484	#432	C₂³	1	1	yes	characteristic
485	#431	—	2	1	no	—
486	#431	—	2	1	no	—
487	#431	C₂³	1	1	yes	characteristic
488	#431	C₂³	1	1	yes	characteristic
489	#431	C₂³	1	1	yes	characteristic
490	#431	C₂³	1	1	yes	characteristic
491	#431	C₂³	1	1	yes	characteristic
492	#431	C₂³	1	1	yes	characteristic
493	#431	C₂³	1	1	yes	characteristic
494	#431	C₂³	1	1	yes	characteristic
495	#431	C₂³	1	1	yes	characteristic
496	#431	C₂³	1	1	yes	characteristic
497	#431	C₂³	1	1	yes	characteristic
498	#431	C₂³	1	1	yes	characteristic
499	#431	C₂³	1	1	yes	characteristic
500	#431	C₂³	1	1	yes	characteristic
501	#428	C₂×C₄	1	1	yes	characteristic
502	#428	C₂×C₄	1	1	yes	characteristic
503	C₂×#107	C₂×C₄	1	1	yes	characteristic
504	#424	—	2	1	no	—
505	#424	—	2	1	no	—
506	#424	D₄	1	1	yes	characteristic
507	#424	D₄	1	1	yes	characteristic
508	#423	C₂³	1	1	yes	characteristic
509	#423	C₂³	1	1	yes	characteristic
510	C₂×C₄⋊C₈	—	2	1	no	—
511	C₂×C₄⋊C₈	—	2	1	no	—
512	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
513	C₂×C₄⋊C₈	C₂³	1	1	yes	characteristic
514	#418	C₂×C₄	1	1	yes	characteristic
515	#418	C₂×C₄	1	1	yes	characteristic
516	#417	C₂×C₄	1	1	yes	characteristic
517	#417	C₂×C₄	1	1	yes	characteristic
518	C₂×#102	C₂×C₄	1	1	yes	characteristic
519	C₂×#102	C₂×C₄	1	1	yes	characteristic
520	#408	—	2	1	no	—
521	#408	—	2	1	no	—
522	#408	—	2	1	no	—
523	#408	—	2	1	no	—
524	#408	—	2	1	no	—
525	#408	—	2	1	no	—
526	#408	—	2	1	no	—
527	#408	—	2	1	no	—
528	#408	—	2	1	no	—
529	#408	—	2	1	no	—
530	#408	—	2	1	no	—
531	#408	—	2	1	no	—
532	#408	D₄	1	1	yes	characteristic
533	#408	D₄	1	1	yes	characteristic
534	#407	—	2	1	no	—
535	#407	—	2	1	no	—
536	#407	—	2	1	no	—
537	#407	—	2	1	no	—
538	C₂×C₂²⋊C₈	—	2	1	no	—
539	C₂×C₂²⋊C₈	—	2	1	no	—
540	C₂×C₂²⋊C₈	—	2	1	no	—
541	C₂×C₂²⋊C₈	—	2	1	no	—
542	C₂×C₂²⋊C₈	—	2	1	no	—
543	C₂×C₂²⋊C₈	—	2	1	no	—
544	C₂×C₂²⋊C₈	—	2	1	no	—
545	C₂×C₂²⋊C₈	—	2	1	no	—
546	C₂×C₂²⋊C₈	—	2	1	no	—
547	C₂×C₂²⋊C₈	—	2	1	no	—
548	#405	—	2	1	no	—
549	#405	—	2	1	no	—
550	#405	—	2	1	no	—
551	#405	—	2	1	no	—
552	C₄×M₁₆	C₂³	1	1	yes	characteristic
553	C₄×M₁₆	C₂³	1	1	yes	characteristic
554	C₄×M₁₆	C₂³	1	1	yes	characteristic
555	C₄×M₁₆	C₂³	1	1	yes	characteristic
556	C₄×M₁₆	C₂³	1	1	yes	characteristic
557	C₂×#97	—	2	1	no	—
558	C₂×C₄×C₈	—	2	1	no	—
559	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
560	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
561	C₂×C₄×C₈	C₂³	1	1	yes	characteristic
562	#335	C₂³	1	1	yes	characteristic
563	#335	C₂³	1	1	yes	characteristic
564	#335	C₂³	1	1	yes	characteristic
565	#335	C₂³	1	1	yes	characteristic
566	#335	C₂³	1	1	yes	characteristic
567	#335	C₂³	1	1	yes	characteristic
568	#335	C₂³	1	1	yes	characteristic
569	#335	C₂³	1	1	yes	characteristic
570	#334	C₂³	1	1	yes	characteristic
571	#334	C₂³	1	1	yes	characteristic
572	#334	C₂³	1	1	yes	characteristic
573	#334	C₂³	1	1	yes	characteristic
574	#334	C₂³	1	1	yes	characteristic
575	#334	C₂³	1	1	yes	characteristic
576	#334	C₂³	1	1	yes	characteristic
577	#334	C₂³	1	1	yes	characteristic
578	Q₈⋊C₈	C₂³	1	1	yes	characteristic
579	Q₈⋊C₈	C₂³	1	1	yes	characteristic
580	Q₈⋊C₈	C₂³	1	1	yes	characteristic
581	Q₈⋊C₈	C₂³	1	1	yes	characteristic
582	Q₈⋊C₈	C₂³	1	1	yes	characteristic
583	Q₈⋊C₈	C₂³	1	1	yes	characteristic
584	Q₈⋊C₈	C₂³	1	1	yes	characteristic
585	Q₈⋊C₈	C₂³	1	1	yes	characteristic
586	D₄⋊C₈	C₂³	1	1	yes	characteristic
587	D₄⋊C₈	C₂³	1	1	yes	characteristic
588	D₄⋊C₈	C₂³	1	1	yes	characteristic
589	D₄⋊C₈	C₂³	1	1	yes	characteristic
590	D₄⋊C₈	C₂³	1	1	yes	characteristic
591	D₄⋊C₈	C₂³	1	1	yes	characteristic
592	D₄⋊C₈	C₂³	1	1	yes	characteristic
593	D₄⋊C₈	C₂³	1	1	yes	characteristic
594	D₄⋊C₈	C₂³	1	1	yes	characteristic
595	D₄⋊C₈	C₂³	1	1	yes	characteristic
596	D₄⋊C₈	C₂³	1	1	yes	characteristic
597	D₄⋊C₈	C₂³	1	1	yes	characteristic
598	D₄⋊C₈	C₂³	1	1	yes	characteristic
599	D₄⋊C₈	C₂³	1	1	yes	characteristic
600	D₄⋊C₈	C₂³	1	1	yes	characteristic
601	D₄⋊C₈	C₂³	1	1	yes	characteristic
602	D₄⋊C₈	C₂³	1	1	yes	characteristic
603	D₄⋊C₈	C₂³	1	1	yes	characteristic
604	D₄⋊C₈	C₂³	1	1	yes	characteristic
605	D₄⋊C₈	C₂³	1	1	yes	characteristic
606	D₄⋊C₈	C₂³	1	1	yes	characteristic
607	D₄⋊C₈	C₂³	1	1	yes	characteristic
608	D₄⋊C₈	C₂³	1	1	yes	characteristic
609	D₄⋊C₈	C₂³	1	1	yes	characteristic
610	#322	C₂³	1	1	yes	characteristic
611	#322	C₂³	1	1	yes	characteristic
612	#322	C₂³	1	1	yes	characteristic
613	#322	C₂³	1	1	yes	characteristic
614	#322	C₂³	1	1	yes	characteristic
615	#322	C₂³	1	1	yes	characteristic
616	#322	C₂³	1	1	yes	characteristic
617	#322	C₂³	1	1	yes	characteristic
618	#322	C₂³	1	1	yes	characteristic
619	#322	C₂³	1	1	yes	characteristic
620	#322	C₂³	1	1	yes	characteristic
621	#322	C₂³	1	1	yes	characteristic
622	C₈²	C₂³	1	1	yes	characteristic
623	C₈²	C₂³	1	1	yes	characteristic
624	C₈²	C₂³	1	1	yes	characteristic
625	C₈²	C₂³	1	1	yes	characteristic
626	C₂×#41	—	2	1	no	—
627	C₂×#41	—	2	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	—	8	2	no	—
634	C₂×#41	—	8	2	no	—
635	C₂×#41	C₂²×C₄	1	1	yes	characteristic
636	C₂×#41	C₂²×C₄	1	1	yes	characteristic
637	C₂×#41	C₂×D₄	1	1	yes	characteristic
638	C₂²×Q₈	—	2	1	no	—
639	C₂²×D₄	—	2	1	no	—
640	C₂²×D₄	—	2	1	no	—
641	C₂²×D₄	—	2	1	no	—
642	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
643	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
644	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
645	C₂²×D₄	C₂²×C₄	1	1	yes	characteristic
646	C₂³×C₄	—	2	1	no	—
647	C₂³×C₄	—	2	1	no	—
648	C₂³×C₄	—	2	1	no	—
649	C₂³×C₄	—	2	1	no	—
650	AGL(1,ℤ/8)	—	2	4	no	—
651	AGL(1,ℤ/8)	—	2	4	no	—
652	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
653	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
654	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
655	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
656	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
657	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
658	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
659	C₂×SD₁₆	C₂²×C₄	1	1	yes	characteristic
660	C₂×D₈	—	2	4	no	—
661	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
662	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
663	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
664	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
665	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
666	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
667	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
668	C₂×D₈	C₂²×C₄	1	1	yes	characteristic
669	#131	—	8	2	no	—
670	#131	—	8	2	no	—
671	C₂×M₁₆	—	2	1	no	—
672	C₂×M₁₆	—	2	1	no	—
673	C₂×M₁₆	—	2	1	no	—
674	C₂×M₁₆	—	2	1	no	—
675	C₂×M₁₆	—	2	1	no	—
676	C₂×M₁₆	—	2	1	no	—
677	C₂×M₁₆	—	2	1	no	—
678	C₂×M₁₆	—	2	1	no	—
679	C₂×M₁₆	—	2	1	no	—
680	C₂×M₁₆	—	2	1	no	—
681	C₂×M₁₆	—	2	1	no	—
682	C₂×M₁₆	—	2	1	no	—
683	C₂×M₁₆	—	8	2	no	—
684	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
685	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
686	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
687	C₂×M₁₆	C₂²×C₄	1	1	yes	characteristic
688	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
689	C₂×M₁₆	C₂×D₄	1	1	yes	characteristic
690	C₂²×C₈	—	2	1	no	—
691	C₂²×C₈	—	2	1	no	—
692	C₂²×C₈	—	2	1	no	—
693	C₂²×C₈	—	2	1	no	—
694	C₂²×C₈	—	2	1	no	—
695	C₂²×C₈	—	2	1	no	—
696	C₂²×C₈	—	2	1	no	—
697	C₂²×C₈	—	2	1	no	—
698	C₂²×C₈	—	2	1	no	—
699	C₂²×C₈	—	2	1	no	—
700	C₂²×C₈	—	2	1	no	—
701	C₂²×C₈	—	2	1	no	—
702	C₂²×C₈	—	2	1	no	—
703	C₂²×C₈	—	2	1	no	—
704	C₂²×C₈	—	2	1	no	—
705	C₂²×C₈	—	2	1	no	—
706	C₂²×C₈	—	2	1	no	—
707	C₂²×C₈	—	2	1	no	—
708	C₂²×C₈	—	2	1	no	—
709	C₂²×C₈	—	8	2	no	—
710	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
711	C₂²×C₈	C₂²×C₄	1	1	yes	characteristic
712	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
713	C₂²×C₈	C₂×D₄	1	1	yes	characteristic
714	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
715	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
716	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
717	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
718	C₄⋊Q₈	C₂²×C₄	1	1	yes	characteristic
719	#127	C₂²×C₄	1	1	yes	characteristic
720	#127	C₂²×C₄	1	1	yes	characteristic
721	#127	C₂²×C₄	1	1	yes	characteristic
722	#126	—	2	1	no	—
723	#126	—	2	1	no	—
724	#126	—	2	1	no	—
725	#126	—	2	1	no	—
726	#126	—	2	1	no	—
727	#126	—	2	1	no	—
728	#125	—	2	1	no	—
729	#125	—	2	1	no	—
730	#125	—	2	1	no	—
731	#125	C₂²×C₄	1	1	yes	characteristic
732	#125	C₂²×C₄	1	1	yes	characteristic
733	#124	—	2	1	no	—
734	#124	—	2	1	no	—
735	#124	—	2	1	no	—
736	#124	—	2	1	no	—
737	#124	—	2	1	no	—
738	#124	C₂²×C₄	1	1	yes	characteristic
739	#124	C₂²×C₄	1	1	yes	characteristic
740	#123	—	2	1	no	—
741	#123	—	2	1	no	—
742	#123	—	2	1	no	—
743	#123	—	2	1	no	—
744	#123	—	2	1	no	—
745	#123	—	2	1	no	—
746	#123	—	2	1	no	—
747	#123	—	2	1	no	—
748	#123	—	2	1	no	—
749	#123	—	2	1	no	—
750	#123	—	2	1	no	—
751	#123	—	2	1	no	—
752	#123	—	2	1	no	—
753	#123	—	2	1	no	—
754	C₂²⋊Q₈	—	2	1	no	—
755	C₂²⋊Q₈	—	2	1	no	—
756	C₂²⋊Q₈	—	2	1	no	—
757	C₂²⋊Q₈	—	2	1	no	—
758	C₂²⋊Q₈	—	2	1	no	—
759	C₂²⋊Q₈	—	2	1	no	—
760	C₂²⋊Q₈	—	2	1	no	—
761	C₂²⋊Q₈	—	2	1	no	—
762	C₂²⋊Q₈	—	2	1	no	—
763	C₂²⋊Q₈	—	2	1	no	—
764	C₂²⋊Q₈	—	2	1	no	—
765	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
766	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
767	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
768	C₂²⋊Q₈	C₂²×C₄	1	1	yes	characteristic
769	#121	—	2	1	no	—
770	#121	—	2	1	no	—
771	#121	—	2	1	no	—
772	#121	—	2	1	no	—
773	#121	—	2	1	no	—
774	#121	—	2	1	no	—
775	#121	—	2	1	no	—
776	#121	—	2	1	no	—
777	#121	—	2	1	no	—
778	#121	—	2	1	no	—
779	#121	—	2	1	no	—
780	#121	—	2	1	no	—
781	#121	—	2	1	no	—
782	#121	C₂²×C₄	1	1	yes	characteristic
783	#121	C₂²×C₄	1	1	yes	characteristic
784	#121	C₂²×C₄	1	1	yes	characteristic
785	#121	C₂²×C₄	1	1	yes	characteristic
786	#121	C₂²×C₄	1	1	yes	characteristic
787	#121	C₂²×C₄	1	1	yes	characteristic
788	#121	C₂²×C₄	1	1	yes	characteristic
789	#121	C₂²×C₄	1	1	yes	characteristic
790	#120	—	2	1	no	—
791	#120	—	2	1	no	—
792	#120	—	2	1	no	—
793	#120	—	2	1	no	—
794	#120	—	2	1	no	—
795	#120	—	2	1	no	—
796	#120	—	2	1	no	—
797	#120	—	2	1	no	—
798	C₄×Q₈	—	2	1	no	—
799	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
800	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
801	C₄×Q₈	C₂²×C₄	1	1	yes	characteristic
802	C₄×Q₈	#41	1	1	yes	characteristic
803	C₄×Q₈	C₂⁴	1	1	yes	characteristic
804	C₄×Q₈	C₂⁴	1	1	yes	characteristic
805	C₄×D₄	—	2	1	no	—
806	C₄×D₄	—	2	1	no	—
807	C₄×D₄	—	2	1	no	—
808	C₄×D₄	—	2	1	no	—
809	C₄×D₄	—	2	1	no	—
810	C₄×D₄	—	2	1	no	—
811	C₄×D₄	—	2	1	no	—
812	C₄×D₄	—	2	1	no	—
813	C₄×D₄	—	2	1	no	—
814	C₄×D₄	—	2	1	no	—
815	C₄×D₄	—	2	1	no	—
816	C₄×D₄	—	2	1	no	—
817	C₄×D₄	—	2	1	no	—
818	C₄×D₄	—	2	1	no	—
819	C₄×D₄	—	2	1	no	—
820	C₄×D₄	—	2	1	no	—
821	C₄×D₄	—	2	1	no	—
822	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
823	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
824	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
825	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
826	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
827	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
828	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
829	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
830	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
831	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
832	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
833	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
834	C₄×D₄	C₂²×C₄	1	1	yes	characteristic
835	C₄×D₄	#41	1	1	yes	characteristic
836	C₄×D₄	#41	1	1	yes	characteristic
837	C₄×D₄	#41	1	1	yes	characteristic
838	C₄×D₄	C₂⁴	1	1	yes	characteristic
839	C₄×D₄	C₂⁴	1	1	yes	characteristic
840	C₄×D₄	C₂⁴	1	1	yes	characteristic
841	C₄×D₄	C₂⁴	1	1	yes	characteristic
842	C₄×D₄	C₂⁴	1	1	yes	characteristic
843	C₄×D₄	C₂⁴	1	1	yes	characteristic
844	#117	—	2	1	no	—
845	#117	—	2	1	no	—
846	#117	—	2	1	no	—
847	#117	—	2	1	no	—
848	#117	—	2	1	no	—
849	#117	—	2	1	no	—
850	#117	—	2	1	no	—
851	#117	—	2	1	no	—
852	#117	—	2	1	no	—
853	#117	C₂²×C₄	1	1	yes	characteristic
854	#117	C₂²×C₄	1	1	yes	characteristic
855	#117	C₂×D₄	1	1	yes	characteristic
856	#117	C₂×D₄	1	1	yes	characteristic
857	#117	C₂×D₄	1	1	yes	characteristic
858	C₂×C₄⋊C₄	—	2	1	no	—
859	C₂×C₄⋊C₄	—	2	1	no	—
860	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
861	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
862	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
863	C₂×C₄⋊C₄	C₂²×C₄	1	1	yes	characteristic
864	C₂×C₂²⋊C₄	—	2	1	no	—
865	C₂×C₂²⋊C₄	—	2	1	no	—
866	C₂×C₂²⋊C₄	—	2	1	no	—
867	C₂×C₂²⋊C₄	—	2	1	no	—
868	C₂×C₂²⋊C₄	—	2	1	no	—
869	C₂×C₂²⋊C₄	—	2	1	no	—
870	C₂×C₄²	—	2	1	no	—
871	C₂×C₄²	—	2	1	no	—
872	C₂×C₄²	C₂⁴	1	1	yes	characteristic
873	C₂×C₄²	C₂⁴	1	1	yes	characteristic
874	C₂×C₄²	C₂⁴	1	1	yes	characteristic
875	#107	C₂²×C₄	1	1	yes	characteristic
876	#107	C₂²×C₄	1	1	yes	characteristic
877	#107	C₂²×C₄	1	1	yes	characteristic
878	#107	C₂²×C₄	1	1	yes	characteristic
879	#107	C₂²×C₄	1	1	yes	characteristic
880	#107	C₂²×C₄	1	1	yes	characteristic
881	#107	C₂²×C₄	1	1	yes	characteristic
882	#107	C₂²×C₄	1	1	yes	characteristic
883	#106	C₂²×C₄	1	1	yes	characteristic
884	#106	C₂²×C₄	1	1	yes	characteristic
885	#106	C₂²×C₄	1	1	yes	characteristic
886	#106	C₂²×C₄	1	1	yes	characteristic
887	#106	C₂²×C₄	1	1	yes	characteristic
888	#106	C₂²×C₄	1	1	yes	characteristic
889	#106	C₂²×C₄	1	1	yes	characteristic
890	#106	C₂²×C₄	1	1	yes	characteristic
891	C₄⋊C₈	—	2	1	no	—
892	C₄⋊C₈	—	2	1	no	—
893	C₄⋊C₈	—	2	1	no	—
894	C₄⋊C₈	—	2	1	no	—
895	C₄⋊C₈	—	2	1	no	—
896	C₄⋊C₈	—	2	1	no	—
897	C₄⋊C₈	—	2	1	no	—
898	C₄⋊C₈	—	2	1	no	—
899	C₄⋊C₈	—	2	1	no	—
900	C₄⋊C₈	—	2	1	no	—
901	C₄⋊C₈	—	2	1	no	—
902	C₄⋊C₈	—	2	1	no	—
903	C₄⋊C₈	—	2	1	no	—
904	C₄⋊C₈	—	2	1	no	—
905	C₄⋊C₈	—	2	1	no	—
906	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
907	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
908	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
909	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
910	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
911	C₄⋊C₈	C₂²×C₄	1	1	yes	characteristic
912	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
913	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
914	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
915	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
916	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
917	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
918	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
919	C₄⋊C₈	C₂×D₄	1	1	yes	characteristic
920	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
921	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
922	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
923	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
924	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
925	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
926	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
927	C₄⋊C₈	C₂⁴	1	1	yes	characteristic
928	#103	C₂²×C₄	1	1	yes	characteristic
929	#103	C₂²×C₄	1	1	yes	characteristic
930	#103	C₂²×C₄	1	1	yes	characteristic
931	#103	C₂²×C₄	1	1	yes	characteristic
932	#103	C₂²×C₄	1	1	yes	characteristic
933	#103	C₂²×C₄	1	1	yes	characteristic
934	#103	C₂²×C₄	1	1	yes	characteristic
935	#103	C₂²×C₄	1	1	yes	characteristic
936	#102	C₂²×C₄	1	1	yes	characteristic
937	#102	C₂²×C₄	1	1	yes	characteristic
938	#102	C₂²×C₄	1	1	yes	characteristic
939	#102	C₂²×C₄	1	1	yes	characteristic
940	#102	C₂²×C₄	1	1	yes	characteristic
941	#102	C₂²×C₄	1	1	yes	characteristic
942	#102	C₂²×C₄	1	1	yes	characteristic
943	#102	C₂²×C₄	1	1	yes	characteristic
944	#102	C₂²×C₄	1	1	yes	characteristic
945	#102	C₂²×C₄	1	1	yes	characteristic
946	#102	C₂²×C₄	1	1	yes	characteristic
947	#102	C₂²×C₄	1	1	yes	characteristic
948	#102	C₂²×C₄	1	1	yes	characteristic
949	#102	C₂²×C₄	1	1	yes	characteristic
950	#102	C₂²×C₄	1	1	yes	characteristic
951	#102	C₂²×C₄	1	1	yes	characteristic
952	#102	C₂²×C₄	1	1	yes	characteristic
953	#102	C₂²×C₄	1	1	yes	characteristic
954	#102	C₂²×C₄	1	1	yes	characteristic
955	#102	C₂²×C₄	1	1	yes	characteristic
956	#102	C₂²×C₄	1	1	yes	characteristic
957	#102	C₂²×C₄	1	1	yes	characteristic
958	#102	C₂²×C₄	1	1	yes	characteristic
959	#102	C₂²×C₄	1	1	yes	characteristic
960	C₂²⋊C₈	—	2	1	no	—
961	C₂²⋊C₈	—	2	1	no	—
962	C₂²⋊C₈	—	2	1	no	—
963	C₂²⋊C₈	—	2	1	no	—
964	C₂²⋊C₈	—	2	1	no	—
965	C₂²⋊C₈	—	2	1	no	—
966	C₂²⋊C₈	—	2	1	no	—
967	C₂²⋊C₈	—	2	1	no	—
968	C₂²⋊C₈	—	2	1	no	—
969	C₂²⋊C₈	—	2	1	no	—
970	C₂²⋊C₈	—	2	1	no	—
971	C₂²⋊C₈	—	2	1	no	—
972	C₂²⋊C₈	—	2	1	no	—
973	C₂²⋊C₈	—	2	1	no	—
974	C₂²⋊C₈	—	2	1	no	—
975	C₂²⋊C₈	—	2	1	no	—
976	C₂²⋊C₈	—	2	1	no	—
977	C₂²⋊C₈	—	2	1	no	—
978	C₂²⋊C₈	—	2	1	no	—
979	C₂²⋊C₈	—	2	1	no	—
980	C₂²⋊C₈	—	2	1	no	—
981	C₂²⋊C₈	—	2	1	no	—
982	C₂²⋊C₈	—	2	1	no	—
983	C₂²⋊C₈	—	2	1	no	—
984	C₂²⋊C₈	—	2	1	no	—
985	C₂²⋊C₈	—	2	1	no	—
986	C₂²⋊C₈	—	2	1	no	—
987	C₂²⋊C₈	—	2	1	no	—
988	C₂²⋊C₈	—	2	1	no	—
989	C₂²⋊C₈	—	2	1	no	—
990	C₂²⋊C₈	—	2	1	no	—
991	C₂²⋊C₈	—	2	1	no	—
992	C₂²⋊C₈	—	2	1	no	—
993	C₂²⋊C₈	—	2	1	no	—
994	C₂²⋊C₈	—	2	1	no	—
995	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
996	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
997	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
998	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
999	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1000	C₂²⋊C₈	C₂²×C₄	1	1	yes	characteristic
1001	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1002	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1003	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1004	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1005	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1006	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1007	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1008	C₂²⋊C₈	C₂×D₄	1	1	yes	characteristic
1009	#97	—	2	1	no	—
1010	#97	—	2	1	no	—
1011	#97	—	2	1	no	—
1012	#97	—	2	1	no	—
1013	#97	—	2	1	no	—
1014	#97	—	2	1	no	—
1015	#97	—	2	1	no	—
1016	#97	—	2	1	no	—
1017	#97	—	2	1	no	—
1018	#97	—	2	1	no	—
1019	#97	C₂²×C₄	1	1	yes	characteristic
1020	#97	C₂²×C₄	1	1	yes	characteristic
1021	#97	C₂²×C₄	1	1	yes	characteristic
1022	#97	C₂²×C₄	1	1	yes	characteristic
1023	#97	C₂×D₄	1	1	yes	characteristic
1024	#97	C₂×D₄	1	1	yes	characteristic
1025	C₄×C₈	—	2	1	no	—
1026	C₄×C₈	—	2	1	no	—
1027	C₄×C₈	—	2	1	no	—
1028	C₄×C₈	—	2	1	no	—
1029	C₄×C₈	—	2	1	no	—
1030	C₄×C₈	—	2	1	no	—
1031	C₄×C₈	—	2	1	no	—
1032	C₄×C₈	—	2	1	no	—
1033	C₄×C₈	—	2	1	no	—
1034	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
1035	C₄×C₈	C₂²×C₄	1	1	yes	characteristic
1036	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1037	C₄×C₈	C₂×D₄	1	1	yes	characteristic
1038	C₄×C₈	C₂⁴	1	1	yes	characteristic
1039	C₄×C₈	C₂⁴	1	1	yes	characteristic
1040	C₄×C₈	C₂⁴	1	1	yes	characteristic
1041	C₄×C₈	C₂⁴	1	1	yes	characteristic
1042	C₄×C₈	C₂⁴	1	1	yes	characteristic
1043	C₄×C₈	C₂⁴	1	1	yes	characteristic
1044	C₄×C₈	C₂⁴	1	1	yes	characteristic
1045	C₄×C₈	C₂⁴	1	1	yes	characteristic
1046	C₄×C₈	C₂⁴	1	1	yes	characteristic
1047	C₄×C₈	C₂⁴	1	1	yes	characteristic
1048	C₄×C₈	C₂⁴	1	1	yes	characteristic
1049	C₄×C₈	C₂⁴	1	1	yes	characteristic
1050	C₂⁴	—	2	1	no	—
1051	C₂⁴	—	2	1	no	—
1052	C₂⁴	—	2	1	no	—
1053	C₂⁴	—	2	1	no	—
1054	#41	—	2	2	no	—
1055	#41	—	2	2	no	—
1056	#41	—	4	1	no	—
1057	#41	—	4	1	no	—
1058	#41	—	4	1	no	—
1059	#41	—	4	1	no	—
1060	#41	—	4	2	no	—
1061	#41	—	4	2	no	—
1062	#41	—	8	1	no	—
1063	#41	—	8	1	no	—
1064	#41	—	8	1	no	—
1065	#41	—	8	1	no	—
1066	#41	—	8	2	no	—
1067	#41	—	8	2	no	—
1068	#41	—	8	2	no	—
1069	#41	—	8	2	no	—
1070	C₂×Q₈	—	2	1	no	—
1071	C₂×Q₈	—	2	1	no	—
1072	C₂×Q₈	—	2	1	no	—
1073	C₂×Q₈	—	2	1	no	—
1074	C₂×Q₈	—	8	2	no	—
1075	C₂×Q₈	C₄×D₄	1	1	yes	characteristic
1076	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1077	C₂×Q₈	C₂³×C₄	1	1	yes	characteristic
1078	C₂×D₄	—	2	2	no	—
1079	C₂×D₄	—	2	2	no	—
1080	C₂×D₄	—	2	2	no	—
1081	C₂×D₄	—	2	2	no	—
1082	C₂×D₄	—	2	1	no	—
1083	C₂×D₄	—	2	1	no	—
1084	C₂×D₄	—	2	1	no	—
1085	C₂×D₄	—	2	1	no	—
1086	C₂×D₄	—	2	1	no	—
1087	C₂×D₄	—	2	1	no	—
1088	C₂×D₄	—	2	1	no	—
1089	C₂×D₄	—	2	1	no	—
1090	C₂×D₄	—	2	1	no	—
1091	C₂×D₄	—	2	1	no	—
1092	C₂×D₄	—	2	1	no	—
1093	C₂×D₄	—	2	1	no	—
1094	C₂×D₄	—	2	1	no	—
1095	C₂×D₄	—	2	1	no	—
1096	C₂×D₄	—	2	1	no	—
1097	C₂×D₄	—	2	1	no	—
1098	C₂×D₄	—	2	1	no	—
1099	C₂×D₄	—	2	1	no	—
1100	C₂×D₄	—	2	1	no	—
1101	C₂×D₄	—	2	1	no	—
1102	C₂×D₄	—	4	1	no	—
1103	C₂×D₄	—	4	1	no	—
1104	C₂×D₄	—	4	1	no	—
1105	C₂×D₄	—	4	1	no	—
1106	C₂×D₄	—	8	2	no	—
1107	C₂×D₄	—	8	2	no	—
1108	C₂×D₄	—	8	2	no	—
1109	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1110	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1111	C₂×D₄	C₄×D₄	1	1	yes	characteristic
1112	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1113	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1114	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1115	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1116	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1117	C₂×D₄	C₂³×C₄	1	1	yes	characteristic
1118	C₂²×C₄	—	2	1	no	—
1119	C₂²×C₄	—	2	1	no	—
1120	C₂²×C₄	—	2	1	no	—
1121	C₂²×C₄	—	2	1	no	—
1122	C₂²×C₄	—	2	1	no	—
1123	C₂²×C₄	—	2	1	no	—
1124	C₂²×C₄	—	2	1	no	—
1125	C₂²×C₄	—	2	1	no	—
1126	C₂²×C₄	—	2	1	no	—
1127	C₂²×C₄	—	2	1	no	—
1128	C₂²×C₄	—	2	1	no	—
1129	C₂²×C₄	—	2	1	no	—
1130	C₂²×C₄	—	2	1	no	—
1131	C₂²×C₄	—	2	1	no	—
1132	C₂²×C₄	—	2	1	no	—
1133	C₂²×C₄	—	2	1	no	—
1134	C₂²×C₄	—	2	1	no	—
1135	C₂²×C₄	—	2	1	no	—
1136	C₂²×C₄	—	2	1	no	—
1137	C₂²×C₄	—	2	1	no	—
1138	C₂²×C₄	—	2	1	no	—
1139	C₂²×C₄	—	2	1	no	—
1140	C₂²×C₄	—	4	2	no	—
1141	C₂²×C₄	—	4	2	no	—
1142	C₂²×C₄	—	8	1	no	—
1143	C₂²×C₄	—	8	1	no	—
1144	C₂²×C₄	—	8	1	no	—
1145	C₂²×C₄	—	8	1	no	—
1146	C₂²×C₄	—	8	1	no	—
1147	C₂²×C₄	—	8	1	no	—
1148	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1149	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1150	C₂²×C₄	C₂³×C₄	1	1	yes	characteristic
1151	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1152	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1153	C₂²×C₄	C₂²×D₄	1	1	yes	characteristic
1154	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1155	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1156	C₂²×C₄	C₂×#41	1	1	yes	characteristic
1157	SD₁₆	—	2	2	no	—
1158	SD₁₆	—	2	2	no	—
1159	SD₁₆	—	2	2	no	—
1160	SD₁₆	—	2	2	no	—
1161	SD₁₆	—	4	1	no	—
1162	SD₁₆	—	4	1	no	—
1163	SD₁₆	—	4	1	no	—
1164	SD₁₆	—	4	1	no	—
1165	D₈	—	2	2	no	—
1166	D₈	—	2	2	no	—
1167	D₈	—	2	2	no	—
1168	D₈	—	2	2	no	—
1169	D₈	—	2	2	no	—
1170	D₈	—	4	1	no	—
1171	D₈	—	4	1	no	—
1172	D₈	#131	1	4	yes	complemented
1173	M₁₆	—	2	2	no	—
1174	M₁₆	—	2	2	no	—
1175	M₁₆	—	4	1	no	—
1176	M₁₆	—	4	1	no	—
1177	M₁₆	—	4	1	no	—
1178	M₁₆	—	4	1	no	—
1179	M₁₆	—	4	2	no	—
1180	M₁₆	—	8	1	no	—
1181	M₁₆	—	8	1	no	—
1182	M₁₆	—	8	1	no	—
1183	M₁₆	—	8	1	no	—
1184	M₁₆	—	8	1	no	—
1185	M₁₆	—	8	1	no	—
1186	M₁₆	—	8	1	no	—
1187	M₁₆	—	8	1	no	—
1188	M₁₆	—	8	1	no	—
1189	M₁₆	—	8	1	no	—
1190	M₁₆	—	8	1	no	—
1191	C₂×C₈	—	2	2	no	—
1192	C₂×C₈	—	2	1	no	—
1193	C₂×C₈	—	2	1	no	—
1194	C₂×C₈	—	2	1	no	—
1195	C₂×C₈	—	2	1	no	—
1196	C₂×C₈	—	2	1	no	—
1197	C₂×C₈	—	2	1	no	—
1198	C₂×C₈	—	2	1	no	—
1199	C₂×C₈	—	2	1	no	—
1200	C₂×C₈	—	2	1	no	—
1201	C₂×C₈	—	2	1	no	—
1202	C₂×C₈	—	2	1	no	—
1203	C₂×C₈	—	2	1	no	—
1204	C₂×C₈	—	4	1	no	—
1205	C₂×C₈	—	4	1	no	—
1206	C₂×C₈	—	4	1	no	—
1207	C₂×C₈	—	4	2	no	—
1208	C₂×C₈	—	8	1	no	—
1209	C₂×C₈	—	8	1	no	—
1210	C₂×C₈	—	8	1	no	—
1211	C₂×C₈	—	8	1	no	—
1212	C₂×C₈	—	8	1	no	—
1213	C₂×C₈	—	8	1	no	—
1214	C₂×C₈	—	8	1	no	—
1215	C₂×C₈	—	8	1	no	—
1216	C₂×C₈	—	8	1	no	—
1217	C₂×C₈	—	8	1	no	—
1218	C₂×C₈	—	8	1	no	—
1219	C₂×C₈	—	8	1	no	—
1220	C₂×C₈	—	8	1	no	—
1221	C₂×C₈	—	8	1	no	—
1222	C₂×C₈	—	8	1	no	—
1223	C₂×C₈	—	8	1	no	—
1224	C₂×C₈	—	8	1	no	—
1225	C₂×C₈	—	8	1	no	—
1226	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1227	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1228	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1229	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1230	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1231	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1232	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1233	C₂×C₈	C₂³×C₄	1	1	yes	characteristic
1234	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1235	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1236	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1237	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1238	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1239	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1240	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1241	C₂×C₈	C₂²×D₄	1	1	yes	characteristic
1242	C₄⋊C₄	—	2	1	no	—
1243	C₄⋊C₄	—	2	1	no	—
1244	C₄⋊C₄	—	2	1	no	—
1245	C₄⋊C₄	—	2	1	no	—
1246	C₄⋊C₄	—	2	1	no	—
1247	C₄⋊C₄	—	2	1	no	—
1248	C₄⋊C₄	—	2	1	no	—
1249	C₄⋊C₄	—	2	1	no	—
1250	C₄⋊C₄	—	2	1	no	—
1251	C₄⋊C₄	—	2	1	no	—
1252	C₄⋊C₄	—	2	1	no	—
1253	C₄⋊C₄	—	2	1	no	—
1254	C₄⋊C₄	—	2	1	no	—
1255	C₄⋊C₄	—	2	1	no	—
1256	C₄⋊C₄	—	2	1	no	—
1257	C₄⋊C₄	—	2	1	no	—
1258	C₄⋊C₄	—	2	1	no	—
1259	C₄⋊C₄	—	2	1	no	—
1260	C₄⋊C₄	—	2	1	no	—
1261	C₄⋊C₄	—	2	1	no	—
1262	C₄⋊C₄	—	2	1	no	—
1263	C₄⋊C₄	—	2	1	no	—
1264	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1265	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1266	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1267	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1268	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1269	C₄⋊C₄	C₄×D₄	1	1	yes	characteristic
1270	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1271	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1272	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1273	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1274	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1275	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1276	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1277	C₄⋊C₄	C₂³×C₄	1	1	yes	characteristic
1278	C₂²⋊C₄	—	2	1	no	—
1279	C₂²⋊C₄	—	2	1	no	—
1280	C₂²⋊C₄	—	2	1	no	—
1281	C₂²⋊C₄	—	2	1	no	—
1282	C₂²⋊C₄	—	2	1	no	—
1283	C₂²⋊C₄	—	2	1	no	—
1284	C₂²⋊C₄	—	2	1	no	—
1285	C₂²⋊C₄	—	2	1	no	—
1286	C₂²⋊C₄	—	2	1	no	—
1287	C₂²⋊C₄	—	2	1	no	—
1288	C₂²⋊C₄	—	2	1	no	—
1289	C₂²⋊C₄	—	2	1	no	—
1290	C₂²⋊C₄	—	2	1	no	—
1291	C₂²⋊C₄	—	2	1	no	—
1292	C₂²⋊C₄	—	2	1	no	—
1293	C₂²⋊C₄	—	2	1	no	—
1294	C₂²⋊C₄	—	2	1	no	—
1295	C₂²⋊C₄	—	2	1	no	—
1296	C₂²⋊C₄	—	2	1	no	—
1297	C₂²⋊C₄	—	2	1	no	—
1298	C₂²⋊C₄	—	2	1	no	—
1299	C₂²⋊C₄	—	2	1	no	—
1300	C₂²⋊C₄	—	2	1	no	—
1301	C₂²⋊C₄	—	2	1	no	—
1302	C₂²⋊C₄	—	2	1	no	—
1303	C₂²⋊C₄	—	2	1	no	—
1304	C₂²⋊C₄	—	2	1	no	—
1305	C₂²⋊C₄	—	2	1	no	—
1306	C₂²⋊C₄	—	2	1	no	—
1307	C₂²⋊C₄	—	2	1	no	—
1308	C₂²⋊C₄	—	2	1	no	—
1309	C₂²⋊C₄	—	2	1	no	—
1310	C₂²⋊C₄	—	2	1	no	—
1311	C₂²⋊C₄	—	2	1	no	—
1312	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1313	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1314	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1315	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1316	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1317	C₂²⋊C₄	C₄×D₄	1	1	yes	characteristic
1318	C₄²	—	2	1	no	—
1319	C₄²	—	2	1	no	—
1320	C₄²	—	2	1	no	—
1321	C₄²	—	2	1	no	—
1322	C₄²	—	2	1	no	—
1323	C₄²	—	2	1	no	—
1324	C₄²	C₂³×C₄	1	1	yes	characteristic
1325	C₄²	C₂³×C₄	1	1	yes	characteristic
1326	C₄²	C₂³×C₄	1	1	yes	characteristic
1327	C₄²	C₂²×D₄	1	1	yes	characteristic
1328	C₄²	C₂²×D₄	1	1	yes	characteristic
1329	C₄²	C₂²×D₄	1	1	yes	characteristic
1330	C₄²	C₂×#41	1	1	yes	characteristic
1331	C₄²	C₂×#41	1	1	yes	characteristic
1332	C₄²	C₂×#41	1	1	yes	characteristic
1333	C₄²	C₂⁵	1	1	yes	characteristic
1334	C₂³	—	2	1	no	—
1335	C₂³	—	2	1	no	—
1336	C₂³	—	2	1	no	—
1337	C₂³	—	2	1	no	—
1338	C₂³	—	2	1	no	—
1339	C₂³	—	2	1	no	—
1340	C₂³	—	4	2	no	—
1341	C₂³	—	4	2	no	—
1342	C₂³	—	4	2	no	—
1343	C₂³	—	4	2	no	—
1344	C₂³	—	4	2	no	—
1345	C₂³	—	8	1	no	—
1346	C₂³	—	8	1	no	—
1347	C₂³	—	8	1	no	—
1348	C₂³	—	8	1	no	—
1349	C₂³	—	8	1	no	—
1350	C₂³	—	8	1	no	—
1351	C₂³	—	8	1	no	—
1352	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1353	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1354	C₂³	C₂×C₄×D₄	1	1	yes	characteristic
1355	Q₈	—	2	1	no	—
1356	Q₈	—	2	1	no	—
1357	Q₈	—	2	1	no	—
1358	Q₈	—	2	1	no	—
1359	Q₈	—	4	1	no	—
1360	Q₈	—	4	2	no	—
1361	Q₈	—	8	1	no	—
1362	Q₈	—	8	1	no	—
1363	Q₈	—	8	1	no	—
1364	D₄	—	2	1	no	—
1365	D₄	—	2	1	no	—
1366	D₄	—	2	1	no	—
1367	D₄	—	2	1	no	—
1368	D₄	—	2	1	no	—
1369	D₄	—	2	1	no	—
1370	D₄	—	2	1	no	—
1371	D₄	—	2	1	no	—
1372	D₄	—	2	1	no	—
1373	D₄	—	2	1	no	—
1374	D₄	—	4	1	no	—
1375	D₄	—	4	1	no	—
1376	D₄	—	4	1	no	—
1377	D₄	—	4	2	no	—
1378	D₄	—	4	2	no	—
1379	D₄	—	4	2	no	—
1380	D₄	—	4	2	no	—
1381	D₄	—	4	2	no	—
1382	D₄	—	4	2	no	—
1383	D₄	—	4	2	no	—
1384	D₄	—	4	2	no	—
1385	D₄	—	4	2	no	—
1386	D₄	—	8	1	no	—
1387	D₄	—	8	1	no	—
1388	D₄	—	8	1	no	—
1389	D₄	—	8	1	no	—
1390	D₄	—	8	1	no	—
1391	D₄	—	8	1	no	—
1392	D₄	—	8	1	no	—
1393	D₄	—	8	1	no	—
1394	D₄	—	8	1	no	—
1395	D₄	—	8	1	no	—
1396	D₄	—	8	1	no	—
1397	D₄	C₂×#131	1	2	yes	—
1398	D₄	C₂×#131	1	2	yes	—
1399	C₂×C₄	—	2	1	no	—
1400	C₂×C₄	—	2	1	no	—
1401	C₂×C₄	—	2	1	no	—
1402	C₂×C₄	—	2	1	no	—
1403	C₂×C₄	—	2	1	no	—
1404	C₂×C₄	—	2	1	no	—
1405	C₂×C₄	—	2	1	no	—
1406	C₂×C₄	—	2	1	no	—
1407	C₂×C₄	—	2	1	no	—
1408	C₂×C₄	—	2	1	no	—
1409	C₂×C₄	—	2	1	no	—
1410	C₂×C₄	—	2	1	no	—
1411	C₂×C₄	—	2	1	no	—
1412	C₂×C₄	—	2	1	no	—
1413	C₂×C₄	—	2	1	no	—
1414	C₂×C₄	—	2	1	no	—
1415	C₂×C₄	—	2	1	no	—
1416	C₂×C₄	—	2	1	no	—
1417	C₂×C₄	—	2	1	no	—
1418	C₂×C₄	—	2	1	no	—
1419	C₂×C₄	—	2	1	no	—
1420	C₂×C₄	—	2	1	no	—
1421	C₂×C₄	—	4	1	no	—
1422	C₂×C₄	—	4	1	no	—
1423	C₂×C₄	—	4	1	no	—
1424	C₂×C₄	—	4	2	no	—
1425	C₂×C₄	—	4	2	no	—
1426	C₂×C₄	—	4	2	no	—
1427	C₂×C₄	—	4	2	no	—
1428	C₂×C₄	—	4	2	no	—
1429	C₂×C₄	—	4	1	no	—
1430	C₂×C₄	—	4	1	no	—
1431	C₂×C₄	—	4	1	no	—
1432	C₂×C₄	—	4	1	no	—
1433	C₂×C₄	—	4	1	no	—
1434	C₂×C₄	—	4	1	no	—
1435	C₂×C₄	—	4	1	no	—
1436	C₂×C₄	—	4	1	no	—
1437	C₂×C₄	—	4	1	no	—
1438	C₂×C₄	—	4	1	no	—
1439	C₂×C₄	—	4	1	no	—
1440	C₂×C₄	—	4	1	no	—
1441	C₂×C₄	—	8	1	no	—
1442	C₂×C₄	—	8	1	no	—
1443	C₂×C₄	—	8	1	no	—
1444	C₂×C₄	—	8	1	no	—
1445	C₂×C₄	—	8	1	no	—
1446	C₂×C₄	—	8	1	no	—
1447	C₂×C₄	—	8	1	no	—
1448	C₂×C₄	—	8	1	no	—
1449	C₂×C₄	—	8	1	no	—
1450	C₂×C₄	—	8	1	no	—
1451	C₂×C₄	—	8	1	no	—
1452	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1453	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1454	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1455	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1456	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1457	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1458	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1459	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1460	C₂×C₄	C₂×C₄×D₄	1	1	yes	characteristic
1461	C₂×C₄	C₂⁴×C₄	1	1	yes	characteristic
1462	C₂×C₄	C₂³×D₄	1	1	yes	characteristic
1463	C₂×C₄	C₂²×#41	1	1	yes	characteristic
1464	C₈	—	2	1	no	—
1465	C₈	—	2	1	no	—
1466	C₈	—	2	1	no	—
1467	C₈	—	2	1	no	—
1468	C₈	—	2	1	no	—
1469	C₈	—	2	1	no	—
1470	C₈	—	2	1	no	—
1471	C₈	—	2	1	no	—
1472	C₈	—	2	1	no	—
1473	C₈	—	2	1	no	—
1474	C₈	—	2	1	no	—
1475	C₈	—	2	1	no	—
1476	C₈	—	2	1	no	—
1477	C₈	—	2	1	no	—
1478	C₈	—	2	1	no	—
1479	C₈	—	4	1	no	—
1480	C₈	—	4	1	no	—
1481	C₈	—	4	1	no	—
1482	C₈	—	4	1	no	—
1483	C₈	—	4	1	no	—
1484	C₈	—	4	1	no	—
1485	C₈	—	4	1	no	—
1486	C₈	—	4	1	no	—
1487	C₈	—	4	1	no	—
1488	C₈	—	4	1	no	—
1489	C₈	—	4	1	no	—
1490	C₈	—	4	1	no	—
1491	C₈	C₂×#131	1	2	yes	—
1492	C₂²	—	2	1	no	—
1493	C₂²	—	2	1	no	—
1494	C₂²	—	2	1	no	—
1495	C₂²	—	2	1	no	—
1496	C₂²	—	2	1	no	—
1497	C₂²	—	2	1	no	—
1498	C₂²	—	2	1	no	—
1499	C₂²	—	2	1	no	—
1500	C₂²	—	2	1	no	—
1501	C₂²	—	2	2	no	—
1502	C₂²	—	2	2	no	—
1503	C₂²	—	4	1	no	—
1504	C₂²	—	4	1	no	—
1505	C₂²	—	4	1	no	—
1506	C₂²	—	4	1	no	—
1507	C₂²	—	4	1	no	—
1508	C₂²	—	4	1	no	—
1509	C₂²	—	4	1	no	—
1510	C₂²	—	4	1	no	—
1511	C₂²	—	4	1	no	—
1512	C₂²	—	4	1	no	—
1513	C₂²	—	4	1	no	—
1514	C₂²	—	4	1	no	—
1515	C₂²	—	4	1	no	—
1516	C₂²	—	4	1	no	—
1517	C₂²	—	4	1	no	—
1518	C₂²	—	4	1	no	—
1519	C₂²	—	8	4	no	—
1520	C₂²	—	16	2	no	—
1521	C₂²	—	16	2	no	—
1522	C₂²	—	16	2	no	—
1523	C₂²	C₂²×C₄×D₄	1	1	yes	characteristic
1524	C₄	—	2	1	no	—
1525	C₄	—	2	1	no	—
1526	C₄	—	2	1	no	—
1527	C₄	—	2	1	no	—
1528	C₄	—	2	1	no	—
1529	C₄	—	2	1	no	—
1530	C₄	—	2	1	no	—
1531	C₄	—	2	1	no	—
1532	C₄	—	2	1	no	—
1533	C₄	—	2	1	no	—
1534	C₄	—	4	1	no	—
1535	C₄	—	4	1	no	—
1536	C₄	—	4	1	no	—
1537	C₄	—	4	1	no	—
1538	C₄	—	4	1	no	—
1539	C₄	—	4	1	no	—
1540	C₄	—	4	1	no	—
1541	C₄	—	4	1	no	—
1542	C₄	—	4	1	no	—
1543	C₄	—	4	1	no	—
1544	C₄	C₂²×#131	1	1	yes	characteristic
1545	C₄	#3573	1	1	yes	characteristic
1546	C₄	#3585	1	1	yes	characteristic
1547	C₄	#3585	1	1	yes	characteristic
1548	C₂	—	4	1	no	—
1549	C₂	—	4	1	no	—
1550	C₂	—	4	1	no	—
1551	C₂	—	4	2	no	—
1552	C₂	—	4	2	no	—
1553	C₂	—	8	1	no	—
1554	C₂	—	8	1	no	—
1555	C₂	—	8	1	no	—
1556	C₂	—	8	1	no	—
1557	C₂	D₄×#131	1	1	yes	characteristic
1558	C₂	#60168	1	1	yes	characteristic
1559	C₂	#60184	1	1	yes	characteristic

	subgroup	G/H
center	C₂×C₄	C₂³×D₄
commutator	C₂×C₄	C₂⁴×C₄
Frattini, cosocle	C₄²	C₂⁵
socle	C₂²	C₂²×C₄×D₄
prime radical	#61437	C₂
LCS	G ▷ C₂×C₄ ▷ C₂ ▷ C₁
UCS	C₁ ◁ C₂×C₄ ◁ #2922 ◁ G
LECS	G ▷ C₄² ▷ C₂² ▷ C₁

Complements

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

N	H ≅ G/N	type
2. #60298	C₂	semidirect
3. #60239	C₂	semidirect
4. #18089	C₂	semidirect
5. #18080	C₂	semidirect
6. #18076	C₂	semidirect
7. #18064	C₂	semidirect
8. #18050	C₂	semidirect
9. #18046	C₂	semidirect
10. #18028	C₂	semidirect
11. #18026	C₂	semidirect
12. #18022	C₂	semidirect
13. #18020	C₂	semidirect
14. #18008	C₂	semidirect
15. #18007	C₂	semidirect
16. #17971	C₂	semidirect
17. #17968	C₂	semidirect
18. #17964	C₂	semidirect
19. #17924	C₂	semidirect
20. #17922	C₂	semidirect
21. #17920	C₂	semidirect
22. #17918	C₂	semidirect
23. #17917	C₂	semidirect
24. #17914	C₂	semidirect
25. #17854	C₂	semidirect
26. #17852	C₂	semidirect
27. C₈×AGL(1,ℤ/8)	C₂	semidirect
28. #17833	C₂	semidirect
29. #17513	C₂	semidirect
30. #17511	C₂	semidirect
31. #17340	C₂	semidirect
60. #2994	C₂²	semidirect
61. #2993	C₂²	semidirect
63. #2990	C₂²	semidirect
64. #2988	C₂²	semidirect
65. #2986	C₂²	semidirect
66. #2985	C₂²	semidirect
68. #2981	C₂²	semidirect
70. #2979	C₂²	semidirect
78. #2974	C₂²	semidirect
79. #2974	C₂²	semidirect
81. #2972	C₂²	semidirect
82. #2972	C₂²	semidirect
83. #2970	C₂²	semidirect
84. #2969	C₂²	semidirect
87. #2966	C₂²	semidirect
90. C₈×#41	C₂²	semidirect
94. #2935	C₂²	semidirect
95. D₄×M₁₆	C₂²	semidirect
97. #2931	C₂²	semidirect
99. C₂×C₈×D₄	C₂²	semidirect
107. #1594	C₂²	semidirect
108. #1594	C₂²	semidirect
109. #1594	C₂²	semidirect
110. #1592	C₂²	semidirect
111. #1592	C₂²	semidirect
112. #1592	C₂²	semidirect
113. #1592	C₂²	semidirect
114. #1592	C₂²	semidirect
115. #1590	C₂²	semidirect
116. #1590	C₂²	semidirect
117. #1590	C₂²	semidirect
118. #1589	C₂²	semidirect
119. #1588	C₂²	semidirect
120. #1586	C₂²	semidirect
121. #1586	C₂²	semidirect
122. #1586	C₂²	semidirect
123. #1586	C₂²	semidirect
124. #1585	C₂²	semidirect
125. #1585	C₂²	semidirect
126. #1585	C₂²	semidirect
127. #1583	C₂²	semidirect
128. #1583	C₂²	semidirect
129. #1583	C₂²	semidirect
130. #1582	C₂²	semidirect
131. #1582	C₂²	semidirect
132. #1582	C₂²	semidirect
133. #1582	C₂²	semidirect
134. #1582	C₂²	semidirect
137. #1581	C₂²	semidirect
138. #1581	C₂²	semidirect
139. #1581	C₂²	semidirect
140. #1581	C₂²	semidirect
141. #1581	C₂²	semidirect
142. #1581	C₂²	semidirect
147. #1580	C₂²	semidirect
148. #1580	C₂²	semidirect
149. #1580	C₂²	semidirect
150. #1580	C₂²	semidirect
151. #1580	C₂²	semidirect
152. SD₁₆⋊C₈	C₂²	semidirect
153. SD₁₆⋊C₈	C₂²	semidirect
154. SD₁₆⋊C₈	C₂²	semidirect
155. SD₁₆⋊C₈	C₂²	semidirect
156. SD₁₆⋊C₈	C₂²	semidirect
157. SD₁₆⋊C₈	C₂²	semidirect
158. SD₁₆⋊C₈	C₂²	semidirect
159. C₈×SD₁₆	C₂²	semidirect
160. C₈×SD₁₆	C₂²	semidirect
161. C₈×SD₁₆	C₂²	semidirect
162. C₈×SD₁₆	C₂²	semidirect
163. C₈×SD₁₆	C₂²	semidirect
166. C₈×D₈	C₂²	semidirect
167. C₈×D₈	C₂²	semidirect
168. C₈×D₈	C₂²	semidirect
169. C₈×D₈	C₂²	semidirect
170. C₈×D₈	C₂²	semidirect
171. #1574	C₂²	semidirect
172. #1574	C₂²	semidirect
173. #1573	C₂²	semidirect
174. #1573	C₂²	semidirect
175. #1572	C₂²	semidirect
176. #1572	C₂²	semidirect
177. #1569	C₂²	semidirect
178. #1569	C₂²	semidirect
179. #1568	C₂²	semidirect
180. #1565	C₂²	semidirect
181. #1565	C₂²	semidirect
182. #1564	C₂²	semidirect
183. #1497	C₂²	semidirect
185. #1496	C₂²	semidirect
186. #1495	C₂²	semidirect
187. #1494	C₂²	semidirect
188. #1492	C₂²	semidirect
190. #1490	C₂²	semidirect
191. #1490	C₂²	semidirect
192. #1489	C₂²	semidirect
193. #1488	C₂²	semidirect
194. #1486	C₂²	semidirect
195. #1485	C₂²	semidirect
197. #1484	C₂²	semidirect
198. #1483	C₂²	semidirect
199. #1482	C₂²	semidirect
200. #1480	C₂²	semidirect
202. #1478	C₂²	semidirect
203. #1478	C₂²	semidirect
204. #1477	C₂²	semidirect
205. #1476	C₂²	semidirect
206. C₂×D₄⋊C₈	C₂²	semidirect
207. #1455	C₂²	semidirect
208. #1454	C₂²	semidirect
209. #1454	C₂²	semidirect
210. #1453	C₂²	semidirect
211. #1453	C₂²	semidirect
212. #1453	C₂²	semidirect
213. #1452	C₂²	semidirect
214. #1451	C₂²	semidirect
215. #1451	C₂²	semidirect
216. #1450	C₂²	semidirect
217. C₈×M₁₆	C₂²	semidirect
218. C₈×M₁₆	C₂²	semidirect
1172. D₈	#131	semidirect

Maximal subgroups

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

subgroup	index
#61437	2
#60298	2
#60239	2
#18089	2
#18080	2
#18076	2
#18064	2
#18050	2
#18046	2
#18028	2
#18026	2
#18022	2
#18020	2
#18008	2
#18007	2
#17971	2
#17968	2
#17964	2
#17924	2
#17922	2
#17920	2
#17918	2
#17917	2
#17914	2
#17854	2
#17852	2
C₈×AGL(1,ℤ/8)	2
#17833	2
#17513	2
#17511	2
#17340	2